/* 1. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 -2 0 0 0 0 1 0 -1 2 -2 2 -2 2 -2 2 -2 -2 -2] [-1 4 1 2 2 1 -1 1 -1 -2 1 2 1 -1 -2 -1 -2 2 -2 -1 2 -1] [ 0 1 4 -1 -1 2 1 2 1 -2 2 0 1 -1 -1 -1 -1 0 -1 -1 1 -1] [-1 2 -1 4 1 0 0 0 0 -1 0 2 -1 1 0 1 0 2 0 1 0 1] [-2 2 -1 1 4 -1 -2 -1 -2 -1 -1 1 -1 1 -1 1 -1 1 -1 1 1 1] [ 0 1 2 0 -1 4 2 2 1 -2 2 0 1 -2 -2 -2 -1 0 -2 -1 1 -2] [ 0 -1 1 0 -2 2 4 1 2 -1 1 0 -1 -1 -1 -1 1 0 -1 1 -1 -1] [ 0 1 2 0 -1 2 1 4 2 0 2 0 2 0 -2 -2 -2 0 -2 -2 0 -2] [ 0 -1 1 0 -2 1 2 2 4 0 1 0 1 0 -1 -1 -1 0 -1 -1 0 -1] [ 1 -2 -2 -1 -1 -2 -1 0 0 6 0 -2 0 0 1 0 1 -2 1 0 -1 -1] [ 0 1 2 0 -1 2 1 2 1 0 4 -1 0 -2 -2 -2 -1 0 -2 -1 1 -2] [-1 2 0 2 1 0 0 0 0 -2 -1 4 1 0 -1 0 0 2 -1 1 0 0] [ 2 1 1 -1 -1 1 -1 2 1 0 0 1 6 -1 0 -2 -2 -1 0 -4 1 -2] [-2 -1 -1 1 1 -2 -1 0 0 0 -2 0 -1 6 2 4 -1 1 2 1 -1 4] [ 2 -2 -1 0 -1 -2 -1 -2 -1 1 -2 -1 0 2 6 2 2 -1 4 0 -1 2] [-2 -1 -1 1 1 -2 -1 -2 -1 0 -2 0 -2 4 2 6 1 1 2 2 0 4] [ 2 -2 -1 0 -1 -1 1 -2 -1 1 -1 0 -2 -1 2 1 6 -1 2 2 -3 0] [-2 2 0 2 1 0 0 0 0 -2 0 2 -1 1 -1 1 -1 4 -1 1 1 1] [ 2 -2 -1 0 -1 -2 -1 -2 -1 1 -2 -1 0 2 4 2 2 -1 6 1 -2 2] [-2 -1 -1 1 1 -1 1 -2 -1 0 -1 1 -4 1 0 2 2 1 1 6 -1 2] [-2 2 1 0 1 1 -1 0 0 -1 1 0 1 -1 -1 0 -3 1 -2 -1 6 0] [-2 -1 -1 1 1 -2 -1 -2 -1 -1 -2 0 -2 4 2 4 0 1 2 2 0 6] |Aut| = [ <2, 12>, <3, 6>, <5, 2>, <7, 1>, <11, 1> ] Modular = true LatDB = overlattice(A2xA11) 2. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -2 -1 -2 0 -2 0 2 -2 1 1 2 -2 -1 -2 -2 -2 -2 -2 2] [-1 4 -1 2 0 1 0 1 0 -2 -1 1 1 0 0 1 1 0 1 0 1 1] [-2 -1 4 1 1 0 0 0 0 -1 1 0 0 -2 2 -1 0 2 0 2 0 -1] [-2 2 1 6 -1 0 -2 0 -2 -1 1 -1 2 -3 1 2 0 3 0 1 -1 -2] [-1 0 1 -1 4 0 2 0 2 0 1 -1 0 -1 2 -2 0 -1 0 2 2 1] [-2 1 0 0 0 4 1 2 0 -2 1 -1 -1 -1 1 1 2 0 2 0 2 0] [ 0 0 0 -2 2 1 4 0 2 0 -1 -1 0 1 0 -2 0 -2 0 1 2 2] [-2 1 0 0 0 2 0 4 1 -2 0 -1 -1 0 1 1 2 0 2 0 2 0] [ 0 0 0 -2 2 0 2 1 4 0 0 -1 0 0 0 -2 0 -2 0 1 2 2] [ 2 -2 -1 -1 0 -2 0 -2 0 6 -1 -2 -1 -1 -2 -1 -2 1 -2 0 -3 -1] [-2 -1 1 1 1 1 -1 0 0 -1 6 -2 -1 -2 1 0 0 1 0 2 1 -3] [ 1 1 0 -1 -1 -1 -1 -1 -1 -2 -2 6 1 3 0 0 1 0 1 -2 -1 1] [ 1 1 0 2 0 -1 0 -1 0 -1 -1 1 4 0 0 0 -1 0 -1 0 -1 1] [ 2 0 -2 -3 -1 -1 1 0 0 -1 -2 3 0 6 -2 0 0 -2 0 -2 0 1] [-2 0 2 1 2 1 0 1 0 -2 1 0 0 -2 4 0 1 0 1 1 2 0] [-1 1 -1 2 -2 1 -2 1 -2 -1 0 0 0 0 0 4 1 1 1 -1 0 -2] [-2 1 0 0 0 2 0 2 0 -2 0 1 -1 0 1 1 4 1 2 0 2 0] [-2 0 2 3 -1 0 -2 0 -2 1 1 0 0 -2 0 1 1 6 0 1 -2 -3] [-2 1 0 0 0 2 0 2 0 -2 0 1 -1 0 1 1 2 0 4 0 1 0] [-2 0 2 1 2 0 1 0 1 0 2 -2 0 -2 1 -1 0 1 0 4 1 -1] [-2 1 0 -1 2 2 2 2 2 -3 1 -1 -1 0 2 0 2 -2 1 1 6 1] [ 2 1 -1 -2 1 0 2 0 2 -1 -3 1 1 1 0 -2 0 -3 0 -1 1 6] |Aut| = [ <2, 7>, <3, 4>, <5, 1>, <7, 1> ] Modular = true LatDB = - 3. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 2 1 -1 -1 -2 2 -1 -1 1 2 1 1 2 -1 -2 2 -2] [ 1 4 -2 2 -1 0 2 1 -2 -1 1 -2 1 -1 2 2 -1 2 -2 1 -1 -1] [-1 -2 4 -2 2 -1 -2 -1 2 1 0 2 -1 1 -1 -2 1 0 2 -1 -1 1] [ 1 2 -2 4 -1 0 2 0 -2 -1 0 -2 1 -1 0 2 0 1 -2 1 1 0] [-2 -1 2 -1 4 -2 -1 1 1 2 0 1 1 -1 -2 -1 -1 0 1 1 -2 2] [ 2 0 -1 0 -2 4 1 -1 -1 -2 0 -1 -1 0 0 0 1 1 -1 -1 1 -1] [ 1 2 -2 2 -1 1 4 0 -2 -1 0 -2 1 0 1 2 -1 0 -2 1 1 0] [-1 1 -1 0 1 -1 0 4 -1 1 -1 -1 2 -2 -1 0 -2 -1 -1 2 0 0] [-1 -2 2 -2 1 -1 -2 -1 4 2 0 2 -1 1 -1 -2 1 0 2 -1 0 1] [-2 -1 1 -1 2 -2 -1 1 2 4 0 1 1 -1 -2 -1 -1 0 1 1 0 2] [ 2 1 0 0 0 0 0 -1 0 0 4 0 0 1 1 0 1 3 0 -1 0 -1] [-1 -2 2 -2 1 -1 -2 -1 2 1 0 4 -2 1 -1 -2 1 0 2 -1 0 1] [-1 1 -1 1 1 -1 1 2 -1 1 0 -2 4 -2 -1 1 -2 0 -1 2 0 1] [ 1 -1 1 -1 -1 0 0 -2 1 -1 1 1 -2 4 2 -1 2 -1 1 -2 1 -1] [ 2 2 -1 0 -2 0 1 -1 -1 -2 1 -1 -1 2 6 2 0 0 -1 -1 0 -3] [ 1 2 -2 2 -1 0 2 0 -2 -1 0 -2 1 -1 2 4 -1 0 -2 1 0 -1] [ 1 -1 1 0 -1 1 -1 -2 1 -1 1 1 -2 2 0 -1 4 1 1 -2 1 -1] [ 2 2 0 1 0 1 0 -1 0 0 3 0 0 -1 0 0 1 6 0 -1 0 0] [-1 -2 2 -2 1 -1 -2 -1 2 1 0 2 -1 1 -1 -2 1 0 4 -1 -1 1] [-2 1 -1 1 1 -1 1 2 -1 1 -1 -1 2 -2 -1 1 -2 -1 -1 4 -1 1] [ 2 -1 -1 1 -2 1 1 0 0 0 0 0 0 1 0 0 1 0 -1 -1 6 -1] [-2 -1 1 0 2 -1 0 0 1 2 -1 1 1 -1 -3 -1 -1 0 1 1 -1 4] |Aut| = [ <2, 8>, <3, 3>, <5, 1>, <7, 1> ] Modular = true LatDB = - 4. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 1 -2 1 -2 1 -2 2 1 -2 1 -1 1 1 2 0 -1 -1 2] [ 1 4 -1 -1 2 0 -1 0 2 0 -1 2 0 -1 -2 -1 -1 0 0 -2 1 0] [ 2 -1 4 1 0 -2 0 -2 0 -2 1 0 -2 0 0 0 0 2 0 0 0 2] [ 2 -1 1 4 -1 -1 2 -1 -1 -1 1 -1 -1 2 1 2 2 1 0 1 -2 1] [ 1 2 0 -1 4 -1 -1 0 2 -1 -1 2 -1 0 -2 -2 0 1 1 0 0 -1] [-2 0 -2 -1 -1 4 -1 2 -1 2 0 -1 2 -1 0 1 0 -1 -1 -1 1 0] [ 1 -1 0 2 -1 -1 4 -1 -1 -1 1 -1 -1 1 1 1 0 0 -1 0 -1 0] [-2 0 -2 -1 0 2 -1 4 -1 2 0 -1 2 -1 1 -1 0 -1 -1 1 1 -2] [ 1 2 0 -1 2 -1 -1 -1 4 0 0 2 -1 -1 -2 -1 0 1 1 0 0 -1] [-2 0 -2 -1 -1 2 -1 2 0 4 -1 -1 2 0 1 1 0 -1 -1 1 1 -2] [ 2 -1 1 1 -1 0 1 0 0 -1 6 -1 0 -1 1 0 1 0 -2 0 -1 2] [ 1 2 0 -1 2 -1 -1 -1 2 -1 -1 4 0 0 -2 0 0 1 1 -2 0 1] [-2 0 -2 -1 -1 2 -1 2 -1 2 0 0 4 -1 1 0 0 -1 -1 0 1 -1] [ 1 -1 0 2 0 -1 1 -1 -1 0 -1 0 -1 4 0 2 1 0 1 1 -2 0] [-1 -2 0 1 -2 0 1 1 -2 1 1 -2 1 0 4 1 0 -1 -1 1 0 0] [ 1 -1 0 2 -2 1 1 -1 -1 1 0 0 0 2 1 6 2 1 0 -2 0 2] [ 1 -1 0 2 0 0 0 0 0 0 1 0 0 1 0 2 4 1 0 1 -1 0] [ 2 0 2 1 1 -1 0 -1 1 -1 0 1 -1 0 -1 1 1 4 1 0 0 1] [ 0 0 0 0 1 -1 -1 -1 1 -1 -2 1 -1 1 -1 0 0 1 4 0 -1 0] [-1 -2 0 1 0 -1 0 1 0 1 0 -2 0 1 1 -2 1 0 0 6 -1 -3] [-1 1 0 -2 0 1 -1 1 0 1 -1 0 1 -2 0 0 -1 0 -1 -1 4 -1] [ 2 0 2 1 -1 0 0 -2 -1 -2 2 1 -1 0 0 2 0 1 0 -3 -1 6] |Aut| = [ <2, 7>, <3, 4>, <5, 1> ] Modular = true LatDB = - 5. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 0 1 -1 -1 -2 0 -1 -2 0 -1 1 2 1 -2 2 -1 2 -2] [ 1 4 0 -2 1 2 1 -2 -1 0 -2 -1 1 1 -1 0 2 1 1 -2 -1 0] [-2 0 4 1 -1 -1 1 1 2 0 1 1 1 1 -1 -1 0 1 -1 1 -2 2] [-1 -2 1 4 -1 -2 -1 2 1 1 2 1 0 -1 0 -1 -1 -1 -1 2 0 1] [ 0 1 -1 -1 4 0 0 0 0 1 0 -1 1 0 -1 1 -1 0 1 0 1 0] [ 1 2 -1 -2 0 4 0 -2 -1 -1 -2 0 0 1 0 1 1 1 0 -2 0 0] [-1 1 1 -1 0 0 4 -1 1 -1 -1 0 1 2 -1 -1 2 2 0 -1 0 1] [-1 -2 1 2 0 -2 -1 4 2 0 2 0 -1 -1 1 0 -2 -1 -1 2 1 1] [-2 -1 2 1 0 -1 1 2 4 0 1 0 1 1 -1 0 -1 1 -2 1 -1 2] [ 0 0 0 1 1 -1 -1 0 0 4 0 -1 1 0 -1 0 0 0 1 0 0 0] [-1 -2 1 2 0 -2 -1 2 1 0 4 0 0 -2 1 0 -2 -1 -1 2 0 1] [-2 -1 1 1 -1 0 0 0 0 -1 0 4 0 0 -1 -2 0 1 -1 0 -2 0] [ 0 1 1 0 1 0 1 -1 1 1 0 0 4 0 -1 0 1 0 1 0 -1 1] [-1 1 1 -1 0 1 2 -1 1 0 -2 0 0 4 -2 0 1 2 -1 -1 0 1] [ 1 -1 -1 0 -1 0 -1 1 -1 -1 1 -1 -1 -2 4 0 -1 -2 1 1 1 0] [ 2 0 -1 -1 1 1 -1 0 0 0 0 -2 0 0 0 4 0 -1 0 0 2 0] [ 1 2 0 -1 -1 1 2 -2 -1 0 -2 0 1 1 -1 0 4 1 1 -2 0 0] [-2 1 1 -1 0 1 2 -1 1 0 -1 1 0 2 -2 -1 1 4 -1 -1 -1 1] [ 2 1 -1 -1 1 0 0 -1 -2 1 -1 -1 1 -1 1 0 1 -1 4 -1 1 -1] [-1 -2 1 2 0 -2 -1 2 1 0 2 0 0 -1 1 0 -2 -1 -1 4 1 1] [ 2 -1 -2 0 1 0 0 1 -1 0 0 -2 -1 0 1 2 0 -1 1 1 6 -1] [-2 0 2 1 0 0 1 1 2 0 1 0 1 1 0 0 0 1 -1 1 -1 4] |Aut| = [ <2, 6>, <3, 4>, <5, 1> ] Modular = true LatDB = - 6. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 2 -1 1 -2 -1 -1 2 0 -1 -2 0 1 1 -1 0 0 -2 -1 0] [ 2 6 2 2 2 2 -1 1 1 2 -1 1 -1 0 2 2 1 -1 1 -1 -2 1] [ 0 2 4 1 0 0 0 0 2 1 0 1 0 1 1 0 0 -1 2 0 0 -1] [ 2 2 1 4 1 0 -2 -1 0 1 -1 1 -2 1 1 0 -1 1 0 -2 -1 -1] [-1 2 0 1 6 0 1 2 2 -2 0 2 1 -1 2 0 2 1 1 1 -1 0] [ 1 2 0 0 0 4 -1 1 1 2 -1 -1 -1 -1 1 1 1 -2 1 -1 -2 1] [-2 -1 0 -2 1 -1 4 2 1 -2 0 0 2 -1 0 -1 1 0 0 2 1 0] [-1 1 0 -1 2 1 2 4 2 -1 0 0 1 -2 0 1 2 0 0 1 -1 0] [-1 1 2 0 2 1 1 2 4 0 0 1 1 -1 1 0 2 0 2 1 -1 -1] [ 2 2 1 1 -2 2 -2 -1 0 4 0 0 -2 1 1 1 -1 -1 1 -2 -1 1] [ 0 -1 0 -1 0 -1 0 0 0 0 4 -1 0 -1 0 -1 0 1 1 0 0 -1] [-1 1 1 1 2 -1 0 0 1 0 -1 4 0 2 1 1 0 1 0 0 0 1] [-2 -1 0 -2 1 -1 2 1 1 -2 0 0 4 -1 0 0 2 0 0 2 1 0] [ 0 0 1 1 -1 -1 -1 -2 -1 1 -1 2 -1 4 0 0 -2 0 0 -1 1 1] [ 1 2 1 1 2 1 0 0 1 1 0 1 0 0 4 1 0 -1 2 0 0 1] [ 1 2 0 0 0 1 -1 1 0 1 -1 1 0 0 1 4 0 -1 0 0 0 2] [-1 1 0 -1 2 1 1 2 2 -1 0 0 2 -2 0 0 4 0 0 1 -1 0] [ 0 -1 -1 1 1 -2 0 0 0 -1 1 1 0 0 -1 -1 0 4 -1 0 0 -1] [ 0 1 2 0 1 1 0 0 2 1 1 0 0 0 2 0 0 -1 4 0 0 0] [-2 -1 0 -2 1 -1 2 1 1 -2 0 0 2 -1 0 0 1 0 0 4 2 0] [-1 -2 0 -1 -1 -2 1 -1 -1 -1 0 0 1 1 0 0 -1 0 0 2 4 0] [ 0 1 -1 -1 0 1 0 0 -1 1 -1 1 0 1 1 2 0 -1 0 0 0 4] |Aut| = [ <2, 8>, <3, 2>, <5, 1> ] Modular = true LatDB = - 7. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 1 2 1 2 2 -2 1 -2 -1 1 -2 -1 -2 2 -1 1 -1 -2] [ 1 4 -1 -1 2 0 2 0 2 -2 2 0 1 2 1 -2 1 0 -2 2 -2 -2] [ 2 -1 4 1 0 2 0 2 1 -1 0 -2 0 0 -1 0 -1 2 0 0 0 -1] [ 2 -1 1 4 -1 1 -1 1 1 -1 -1 -1 -2 -1 -1 1 -1 1 1 -1 1 -1] [ 1 2 0 -1 4 -1 2 0 0 -2 2 -1 0 0 1 -2 1 0 0 2 0 -1] [ 2 0 2 1 -1 4 0 2 2 -1 0 0 -1 1 -1 0 -1 2 -1 0 -1 0] [ 1 2 0 -1 2 0 4 -1 0 0 2 0 0 2 -1 -2 -1 0 0 2 0 0] [ 2 0 2 1 0 2 -1 4 2 -2 0 -2 -1 0 0 0 0 2 -1 0 -1 -2] [ 2 2 1 1 0 2 0 2 6 -2 0 -1 -1 1 1 -1 0 2 -2 0 -3 -1] [-2 -2 -1 -1 -2 -1 0 -2 -2 6 0 1 1 -1 0 0 0 0 1 0 2 2] [ 1 2 0 -1 2 0 2 0 0 0 4 -1 1 1 1 -2 0 1 -1 2 -1 -2] [-2 0 -2 -1 -1 0 0 -2 -1 1 -1 4 0 0 0 1 0 -2 0 -1 1 2] [-1 1 0 -2 0 -1 0 -1 -1 1 1 0 4 1 1 -1 1 0 -1 1 -1 -1] [ 1 2 0 -1 0 1 2 0 1 -1 1 0 1 4 -1 -1 -1 0 -2 1 -2 -1] [-2 1 -1 -1 1 -1 -1 0 1 0 1 0 1 -1 6 0 4 0 0 0 -1 0] [-1 -2 0 1 -2 0 -2 0 -1 0 -2 1 -1 -1 0 4 -1 -1 1 -2 0 1] [-2 1 -1 -1 1 -1 -1 0 0 0 0 0 1 -1 4 -1 6 0 0 0 1 -1] [ 2 0 2 1 0 2 0 2 2 0 1 -2 0 0 0 -1 0 4 0 1 -1 -1] [-1 -2 0 1 0 -1 0 -1 -2 1 -1 0 -1 -2 0 1 0 0 4 -1 2 2] [ 1 2 0 -1 2 0 2 0 0 0 2 -1 1 1 0 -2 0 1 -1 4 0 -1] [-1 -2 0 1 0 -1 0 -1 -3 2 -1 1 -1 -2 -1 0 1 -1 2 0 6 0] [-2 -2 -1 -1 -1 0 0 -2 -1 2 -2 2 -1 -1 0 1 -1 -1 2 -1 0 6] |Aut| = [ <2, 8>, <3, 2>, <5, 1> ] Modular = true LatDB = - 8. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 -2 0 0 0 0 0 0 2 -2 -1 1 -2 2 -1 2 -1 2 2] [-1 4 1 2 2 1 -1 -1 -1 -1 -1 1 2 -1 -2 1 -2 2 -2 -1 -2 -2] [ 0 1 4 -1 -1 2 1 -2 1 -2 1 1 0 -2 0 -1 -1 0 -1 -2 -1 -1] [-1 2 -1 4 1 0 0 0 0 0 0 -1 2 0 -2 0 0 2 0 0 0 0] [-2 2 -1 1 4 -1 -2 1 -2 1 -2 -1 1 1 -1 2 -1 1 -1 1 -1 -1] [ 0 1 2 0 -1 4 2 -2 1 -2 1 2 0 0 0 0 -2 0 -2 0 -2 0] [ 0 -1 1 0 -2 2 4 -1 2 -1 2 1 0 0 0 0 -1 0 -1 0 -1 0] [ 0 -1 -2 0 1 -2 -1 4 0 2 -1 -1 0 1 1 1 2 0 0 2 1 0] [ 0 -1 1 0 -2 1 2 0 4 -1 2 -1 0 -1 1 -1 1 -1 0 1 1 -1] [ 0 -1 -2 0 1 -2 -1 2 -1 4 0 -2 0 1 1 1 2 0 0 0 1 1] [ 0 -1 1 0 -2 1 2 -1 2 0 4 0 0 -1 1 -1 1 -1 0 0 1 1] [ 2 1 1 -1 -1 2 1 -1 -1 -2 0 6 -1 0 -1 0 -2 0 -1 -1 -2 0] [-2 2 0 2 1 0 0 0 0 0 0 -1 4 -1 -2 1 -1 2 -1 -1 -1 -1] [-1 -1 -2 0 1 0 0 1 -1 1 -1 0 -1 4 0 1 -1 0 -1 2 -1 0] [ 1 -2 0 -2 -1 0 0 1 1 1 1 -1 -2 0 4 0 2 -2 0 1 2 1] [-2 1 -1 0 2 0 0 1 -1 1 -1 0 1 1 0 4 -2 1 -3 1 -2 -2] [ 2 -2 -1 0 -1 -2 -1 2 1 2 1 -2 -1 -1 2 -2 6 -2 3 1 4 3] [-1 2 0 2 1 0 0 0 -1 0 -1 0 2 0 -2 1 -2 4 -2 -1 -1 -1] [ 2 -2 -1 0 -1 -2 -1 0 0 0 0 -1 -1 -1 0 -3 3 -2 6 -1 3 3] [-1 -1 -2 0 1 0 0 2 1 0 0 -1 -1 2 1 1 1 -1 -1 6 1 0] [ 2 -2 -1 0 -1 -2 -1 1 1 1 1 -2 -1 -1 2 -2 4 -1 3 1 6 2] [ 2 -2 -1 0 -1 0 0 0 -1 1 1 0 -1 0 1 -2 3 -1 3 0 2 6] |Aut| = [ <2, 8>, <3, 2>, <5, 1> ] Modular = true LatDB = - 9. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 0 -1 1 0 -1 -1 -1 -1 -1 1 -1 2 1 -2 -2 1 -1 1] [ 1 4 2 0 1 -2 2 1 -2 1 0 -2 1 1 -1 0 2 -2 0 2 -1 0] [ 2 2 6 1 -1 0 1 -1 -2 1 1 -2 1 -1 0 3 3 -3 -1 2 -3 2] [-1 0 1 4 -2 -1 1 -2 -1 2 1 -1 2 -1 1 -1 2 0 -1 -1 -2 -1] [ 0 1 -1 -2 4 -1 0 2 0 0 -1 0 0 2 -1 -1 0 1 0 1 0 -1] [-1 -2 0 -1 -1 4 -2 0 2 -1 0 2 -1 -2 0 1 -1 1 2 0 1 1] [ 1 2 1 1 0 -2 4 -1 -2 1 1 -2 1 1 -1 0 1 -1 0 0 -2 0] [ 0 1 -1 -2 2 0 -1 4 0 0 -2 0 0 0 0 0 -1 1 0 1 2 0] [-1 -2 -2 -1 0 2 -2 0 4 -2 0 2 -1 0 1 0 -1 2 2 0 1 0] [-1 1 1 2 0 -1 1 0 -2 4 0 -1 2 0 1 0 2 -1 -1 0 -2 0] [-1 0 1 1 -1 0 1 -2 0 0 4 0 0 0 1 1 1 0 2 -1 -1 0] [-1 -2 -2 -1 0 2 -2 0 2 -1 0 4 -2 0 0 -1 -1 2 2 0 1 0] [-1 1 1 2 0 -1 1 0 -1 2 0 -2 4 0 0 -1 2 -1 -1 0 -2 0] [ 1 1 -1 -1 2 -2 1 0 0 0 0 0 0 4 -1 -1 1 0 0 1 -1 -1] [-1 -1 0 1 -1 0 -1 0 1 1 1 0 0 -1 4 2 0 0 0 -1 0 0] [ 2 0 3 -1 -1 1 0 0 0 0 1 -1 -1 -1 2 6 1 -2 0 0 -1 2] [ 1 2 3 2 0 -1 1 -1 -1 2 1 -1 2 1 0 1 6 -1 -1 1 -3 0] [-2 -2 -3 0 1 1 -1 1 2 -1 0 2 -1 0 0 -2 -1 6 2 -1 2 -2] [-2 0 -1 -1 0 2 0 0 2 -1 2 2 -1 0 0 0 -1 2 6 1 0 0] [ 1 2 2 -1 1 0 0 1 0 0 -1 0 0 1 -1 0 1 -1 1 4 -1 1] [-1 -1 -3 -2 0 1 -2 2 1 -2 -1 1 -2 -1 0 -1 -3 2 0 -1 6 -1] [ 1 0 2 -1 -1 1 0 0 0 0 0 0 0 -1 0 2 0 -2 0 1 -1 4] |Aut| = [ <2, 6>, <3, 2>, <5, 1> ] Modular = true LatDB = - 10. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 1 2 2 2 2 2 -2 -1 2 2 1 -2 -1 2 2 1 -2 1] [ 0 4 2 1 -2 0 0 0 1 1 1 -1 0 1 -1 2 2 1 0 -2 1 -1] [ 0 2 4 1 -2 -1 1 1 -1 -1 2 0 1 -1 -2 2 0 0 1 -2 1 -1] [ 2 1 1 4 -1 2 2 2 0 0 -1 -1 2 0 1 0 1 2 2 0 -2 -1] [ 1 -2 -2 -1 4 0 0 0 1 1 -2 0 0 1 0 -1 -1 0 0 2 0 1] [ 2 0 -1 2 0 4 0 0 2 2 -2 -1 0 2 2 -1 1 2 0 1 -1 1] [ 2 0 1 2 0 0 4 2 -1 0 0 0 2 0 0 0 -1 1 2 0 -2 0] [ 2 0 1 2 0 0 2 4 0 -1 -1 -1 2 0 0 -1 -1 1 2 0 -1 0] [ 2 1 -1 0 1 2 -1 0 6 4 -1 -2 0 4 0 -2 0 2 0 0 -1 2] [ 2 1 -1 0 1 2 0 -1 4 6 -2 0 0 4 0 0 0 2 0 0 0 2] [-2 1 2 -1 -2 -2 0 -1 -1 -2 6 -1 0 -1 -1 1 -1 -1 0 -3 0 0] [-1 -1 0 -1 0 -1 0 -1 -2 0 -1 4 0 -2 0 1 0 -2 0 0 1 0] [ 2 0 1 2 0 0 2 2 0 0 0 0 4 -1 0 0 -1 1 2 0 -2 0] [ 2 1 -1 0 1 2 0 0 4 4 -1 -2 -1 6 0 -2 0 2 0 0 -1 2] [ 1 -1 -2 1 0 2 0 0 0 0 -1 0 0 0 4 -2 0 1 0 1 -2 1] [-2 2 2 0 -1 -1 0 -1 -2 0 1 1 0 -2 -2 6 2 -1 -1 -1 3 -2] [-1 2 0 1 -1 1 -1 -1 0 0 -1 0 -1 0 0 2 4 0 -1 0 1 -2] [ 2 1 0 2 0 2 1 1 2 2 -1 -2 1 2 1 -1 0 4 1 0 -1 1] [ 2 0 1 2 0 0 2 2 0 0 0 0 2 0 0 -1 -1 1 4 0 -2 0] [ 1 -2 -2 0 2 1 0 0 0 0 -3 0 0 0 1 -1 0 0 0 4 -1 0] [-2 1 1 -2 0 -1 -2 -1 -1 0 0 1 -2 -1 -2 3 1 -1 -2 -1 6 -1] [ 1 -1 -1 -1 1 1 0 0 2 2 0 0 0 2 1 -2 -2 1 0 0 -1 4] |Aut| = [ <2, 6>, <3, 2>, <5, 1> ] Modular = true LatDB = - 11. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 -2 0 -2 2 2 -2 2 -1 -2 -2 -2 -2 2 2 2 2 -2] [ 1 4 0 1 0 -1 0 0 -1 0 -1 0 0 -1 -1 1 0 0 -1 1 2 1] [-1 0 4 2 2 1 0 0 -1 0 1 0 -1 1 2 2 1 0 1 -2 -2 1] [-1 1 2 4 1 1 -1 0 -1 -1 1 -1 -1 1 1 2 2 -1 -1 -1 -1 0] [-2 0 2 1 4 2 0 0 -2 0 2 0 1 2 1 1 2 0 -1 -1 -1 2] [-2 -1 1 1 2 4 1 1 0 -1 2 -1 0 2 0 1 1 -1 0 0 -1 1] [ 0 0 0 -1 0 1 4 2 -1 0 0 0 0 0 1 0 0 0 0 -1 1 -1] [-2 0 0 0 0 1 2 4 -2 -2 1 -2 0 1 1 1 1 -2 -2 -1 0 0] [ 2 -1 -1 -1 -2 0 -1 -2 6 2 -1 2 -2 -1 -1 -1 -2 2 2 1 1 0] [ 2 0 0 -1 0 -1 0 -2 2 4 0 2 0 -1 0 -1 -1 2 1 0 1 0] [-2 -1 1 1 2 2 0 1 -1 0 4 -1 0 2 0 1 1 -1 -2 0 -1 0] [ 2 0 0 -1 0 -1 0 -2 2 2 -1 4 0 0 -1 -1 -1 2 1 0 1 0] [-1 0 -1 -1 1 0 0 0 -2 0 0 0 4 0 0 -1 1 0 -1 0 0 1] [-2 -1 1 1 2 2 0 1 -1 -1 2 0 0 4 1 1 1 -1 -2 0 -1 0] [-2 -1 2 1 1 0 1 1 -1 0 0 -1 0 1 6 1 2 0 0 -4 -2 1] [-2 1 2 2 1 1 0 1 -1 -1 1 -1 -1 1 1 4 1 -1 -1 -1 -1 1] [-2 0 1 2 2 1 0 1 -2 -1 1 -1 1 1 2 1 4 -1 -2 -2 -1 1] [ 2 0 0 -1 0 -1 0 -2 2 2 -1 2 0 -1 0 -1 -1 4 1 1 1 0] [ 2 -1 1 -1 -1 0 0 -2 2 1 -2 1 -1 -2 0 -1 -2 1 6 0 -1 0] [ 2 1 -2 -1 -1 0 -1 -1 1 0 0 0 0 0 -4 -1 -2 1 0 6 2 -1] [ 2 2 -2 -1 -1 -1 1 0 1 1 -1 1 0 -1 -2 -1 -1 1 -1 2 4 -1] [-2 1 1 0 2 1 -1 0 0 0 0 0 1 0 1 1 1 0 0 -1 -1 6] |Aut| = [ <2, 6>, <3, 2>, <5, 1> ] Modular = true LatDB = - 12. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 1 1 2 1 1 -1 -1 -1 1 -1 -2 1 -1 -2 1 -1 2 2] [-1 4 2 -1 -1 1 -1 1 1 2 0 2 1 2 0 1 -1 0 1 -1 0 -1] [-2 2 4 1 -2 -1 -2 -1 -1 1 0 1 -1 1 0 -1 1 0 -1 1 0 -2] [-1 -1 1 4 0 -2 -1 0 0 0 -1 -1 0 0 1 0 0 1 0 0 -1 0] [ 1 -1 -2 0 4 1 2 2 0 0 -1 -1 0 0 -1 1 0 -1 0 0 1 2] [ 1 1 -1 -2 1 4 2 2 0 0 1 1 0 0 0 0 0 0 0 0 0 1] [ 2 -1 -2 -1 2 2 4 1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 2] [ 1 1 -1 0 2 2 1 4 1 1 0 1 1 1 -1 1 -1 -1 1 -1 1 2] [ 1 1 -1 0 0 0 0 1 4 0 0 0 2 1 1 2 -1 1 2 -2 -1 1] [-1 2 1 0 0 0 0 1 0 4 -1 0 1 2 1 0 0 1 1 -1 -1 0] [-1 0 0 -1 -1 1 -1 0 0 -1 4 2 0 -1 1 0 1 1 0 0 -1 0] [-1 2 1 -1 -1 1 -1 1 0 0 2 4 0 0 0 1 -1 0 0 0 0 0] [ 1 1 -1 0 0 0 0 1 2 1 0 0 4 0 1 2 -1 0 2 -2 0 1] [-1 2 1 0 0 0 0 1 1 2 -1 0 0 4 1 0 0 0 1 -1 0 0] [-2 0 0 1 -1 0 0 -1 1 1 1 0 1 1 6 0 1 4 0 0 -4 0] [ 1 1 -1 0 1 0 0 1 2 0 0 1 2 0 0 4 -2 0 2 -2 0 1] [-1 -1 1 0 0 0 0 -1 -1 0 1 -1 -1 0 1 -2 4 1 -1 1 -1 0] [-2 0 0 1 -1 0 0 -1 1 1 1 0 0 0 4 0 1 6 0 -1 -4 0] [ 1 1 -1 0 0 0 0 1 2 1 0 0 2 1 0 2 -1 0 4 -2 -1 1] [-1 -1 1 0 0 0 0 -1 -2 -1 0 0 -2 -1 0 -2 1 -1 -2 4 0 -1] [ 2 0 0 -1 1 0 0 1 -1 -1 -1 0 0 0 -4 0 -1 -4 -1 0 6 0] [ 2 -1 -2 0 2 1 2 2 1 0 0 0 1 0 0 1 0 0 1 -1 0 4] |Aut| = [ <2, 6>, <3, 2>, <5, 1> ] Modular = true LatDB = - 13. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 1 2 -2 1 2 -2 -1 1 -1 1 2 1 -1 -2 1 1 -2 -1] [ 1 4 -1 -1 2 0 1 2 2 -2 1 2 -2 2 2 2 -2 -1 2 2 -1 -2] [ 2 -1 4 1 0 2 -1 0 1 -1 0 0 0 0 1 0 0 0 0 0 0 0] [ 2 -1 1 4 -1 1 -1 -1 1 -1 -2 -1 1 -1 1 -1 1 -1 -1 -1 -1 1] [ 1 2 0 -1 4 -1 -1 2 0 0 0 0 -2 0 0 2 0 -1 2 2 0 0] [ 2 0 2 1 -1 4 0 0 2 -2 -1 1 0 1 2 0 -1 0 0 0 -2 -1] [-2 1 -1 -1 -1 0 4 0 0 -1 1 0 0 1 1 0 0 1 0 0 1 -1] [ 1 2 0 -1 2 0 0 4 0 0 1 1 -1 2 2 2 -2 0 2 2 0 -2] [ 2 2 1 1 0 2 0 0 6 -4 0 3 -2 0 2 0 0 -2 0 -1 -3 0] [-2 -2 -1 -1 0 -2 -1 0 -4 6 -1 -2 2 -2 -3 -1 1 2 -1 0 1 2] [-1 1 0 -2 0 -1 1 1 0 -1 4 1 -1 1 0 1 -1 0 1 0 1 -1] [ 1 2 0 -1 0 1 0 1 3 -2 1 4 -2 2 1 1 -2 -1 1 0 -1 -2] [-1 -2 0 1 -2 0 0 -1 -2 2 -1 -2 4 -1 0 -1 0 2 -1 -1 1 1] [ 1 2 0 -1 0 1 1 2 0 -2 1 2 -1 6 2 1 -4 0 1 2 0 -3] [ 2 2 1 1 0 2 1 2 2 -3 0 1 0 2 6 1 -3 -1 1 1 0 -2] [ 1 2 0 -1 2 0 0 2 0 -1 1 1 -1 1 1 4 -2 0 2 2 1 -2] [-1 -2 0 1 0 -1 0 -2 0 1 -1 -2 0 -4 -3 -2 6 0 -1 -2 0 3] [-2 -1 0 -1 -1 0 1 0 -2 2 0 -1 2 0 -1 0 0 4 0 0 2 0] [ 1 2 0 -1 2 0 0 2 0 -1 1 1 -1 1 1 2 -1 0 4 2 0 -2] [ 1 2 0 -1 2 0 0 2 -1 0 0 0 -1 2 1 2 -2 0 2 4 0 -2] [-2 -1 0 -1 0 -2 1 0 -3 1 1 -1 1 0 0 1 0 2 0 0 6 -1] [-1 -2 0 1 0 -1 -1 -2 0 2 -1 -2 1 -3 -2 -2 3 0 -2 -2 -1 6] |Aut| = [ <2, 8>, <3, 2> ] Modular = true LatDB = - 14. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 -1 2 2 1 2 2 -2 2 -2 1 -2 -1 -2 2 2 -2 2 2] [ 1 4 -1 -1 -2 0 2 2 0 0 -2 0 -2 2 -2 1 1 2 2 -2 0 2] [ 2 -1 4 1 0 2 1 0 2 2 -1 2 -1 0 -1 0 -1 1 1 -1 2 1] [ 2 -1 1 4 1 1 1 -1 1 1 -1 1 -1 -1 -1 -2 -1 1 1 -1 1 1] [-1 -2 0 1 4 -1 0 -2 0 0 1 -1 2 -1 0 0 -1 0 -2 1 0 0] [ 2 0 2 1 -1 4 2 0 2 2 -1 1 -2 1 0 0 -2 0 2 0 1 1] [ 2 2 1 1 0 2 6 0 2 3 -2 0 -3 2 -1 1 0 3 3 -3 1 1] [ 1 2 0 -1 -2 0 0 4 -1 0 0 0 -2 2 0 1 0 0 2 -1 0 1] [ 2 0 2 1 0 2 2 -1 4 2 -2 2 -1 0 -2 0 -2 2 1 0 2 0] [ 2 0 2 1 0 2 3 0 2 4 -1 1 -1 1 -1 0 -1 2 1 -1 1 0] [-2 -2 -1 -1 1 -1 -2 0 -2 -1 4 -2 1 0 3 0 0 -3 -2 1 -2 -1] [ 2 0 2 1 -1 1 0 0 2 1 -2 4 -1 -1 -1 0 0 1 0 0 2 0] [-2 -2 -1 -1 2 -2 -3 -2 -1 -1 1 -1 6 -2 0 0 0 -1 -4 3 0 -2] [ 1 2 0 -1 -1 1 2 2 0 1 0 -1 -2 4 -1 1 0 1 2 -1 0 1] [-2 -2 -1 -1 0 0 -1 0 -2 -1 3 -1 0 -1 6 0 0 -4 -1 1 -2 -2] [-1 1 0 -2 0 0 1 1 0 0 0 0 0 1 0 4 1 0 0 1 0 -1] [-2 1 -1 -1 -1 -2 0 0 -2 -1 0 0 0 0 0 1 6 1 0 -1 -1 -1] [ 2 2 1 1 0 0 3 0 2 2 -3 1 -1 1 -4 0 1 6 1 -2 1 1] [ 2 2 1 1 -2 2 3 2 1 1 -2 0 -4 2 -1 0 0 1 6 -2 1 2] [-2 -2 -1 -1 1 0 -3 -1 0 -1 1 0 3 -1 1 1 -1 -2 -2 6 0 -2] [ 2 0 2 1 0 1 1 0 2 1 -2 2 0 0 -2 0 -1 1 1 0 4 0] [ 2 2 1 1 0 1 1 1 0 0 -1 0 -2 1 -2 -1 -1 1 2 -2 0 6] |Aut| = [ <2, 7>, <3, 1>, <5, 1> ] Modular = true LatDB = - 15. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 -2 0 0 0 -1 -1 -2 1 0 0 -2 0 -2 0 0 -2 2 2] [-1 4 1 2 2 1 -1 -1 2 2 0 -2 -1 1 1 -1 2 1 -1 2 -2 -2] [ 0 1 4 -1 -1 2 1 -2 0 1 1 -2 -2 -1 0 -2 2 -1 -2 0 -1 -2] [-1 2 -1 4 1 0 0 0 2 0 1 -1 0 0 1 0 1 0 0 2 0 -1] [-2 2 -1 1 4 -1 -2 1 1 1 0 -1 1 2 2 1 1 2 1 1 -1 -1] [ 0 1 2 0 -1 4 2 -2 0 1 1 -2 -2 -1 0 -2 0 -1 -2 0 -1 -2] [ 0 -1 1 0 -2 2 4 -1 0 -1 2 -1 -1 -2 0 -1 0 -2 -1 0 1 -1] [ 0 -1 -2 0 1 -2 -1 4 -1 -2 0 2 2 2 0 1 0 0 2 0 2 1] [-1 2 0 2 1 0 0 -1 4 2 1 -2 0 0 0 0 0 1 0 2 0 -2] [-1 2 1 0 1 1 -1 -2 2 6 -1 -3 0 -1 0 1 -1 2 -1 2 -1 0] [-2 0 1 1 0 1 2 0 1 -1 6 -1 0 -1 0 -2 1 -2 1 1 0 -3] [ 1 -2 -2 -1 -1 -2 -1 2 -2 -3 -1 6 2 1 -2 0 0 -1 2 -2 1 2] [ 0 -1 -2 0 1 -2 -1 2 0 0 0 2 4 0 0 1 -1 0 2 0 2 2] [ 0 1 -1 0 2 -1 -2 2 0 -1 -1 1 0 4 0 0 1 1 1 0 0 -1] [-2 1 0 1 2 0 0 0 0 0 0 -2 0 0 4 0 2 0 -1 1 -1 -1] [ 0 -1 -2 0 1 -2 -1 1 0 1 -2 0 1 0 0 4 -2 2 1 0 1 2] [-2 2 2 1 1 0 0 0 0 -1 1 0 -1 1 2 -2 6 -1 -1 1 -1 -2] [ 0 1 -1 0 2 -1 -2 0 1 2 -2 -1 0 1 0 2 -1 4 1 0 0 1] [ 0 -1 -2 0 1 -2 -1 2 0 -1 1 2 2 1 -1 1 -1 1 4 0 1 1] [-2 2 0 2 1 0 0 0 2 2 1 -2 0 0 1 0 1 0 0 4 -1 -1] [ 2 -2 -1 0 -1 -1 1 2 0 -1 0 1 2 0 -1 1 -1 0 1 -1 6 1] [ 2 -2 -2 -1 -1 -2 -1 1 -2 0 -3 2 2 -1 -1 2 -2 1 1 -1 1 6] |Aut| = [ <2, 7>, <3, 1>, <5, 1> ] Modular = true LatDB = - 16. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 0 2 -2 -2 0 -1 0 0 -2 -1 1 0 -2 0 -1 -1 -2 1 -1] [-2 4 -1 -1 -1 2 1 0 1 1 -1 1 1 0 1 1 0 1 0 1 -1 1] [ 1 -1 4 2 -1 -2 1 0 0 -1 -1 1 -1 -1 1 -2 0 0 -2 1 0 -2] [ 0 -1 2 6 1 1 -1 2 -1 -3 -2 -1 -2 0 1 -3 2 -2 1 -1 1 0] [ 2 -1 -1 1 6 -1 -4 -1 0 0 1 -4 1 0 -1 0 0 0 1 -4 0 1] [-2 2 -2 1 -1 6 0 1 1 -1 -1 0 -1 0 0 -1 2 0 2 0 -1 2] [-2 1 1 -1 -4 0 6 -1 -1 -1 0 4 -1 0 1 1 0 0 -1 4 0 -1] [ 0 0 0 2 -1 1 -1 4 -1 0 -2 -1 -1 0 0 -2 0 -1 1 -1 1 1] [-1 1 0 -1 0 1 -1 -1 4 1 1 0 1 -2 -1 0 0 2 -1 0 -2 0] [ 0 1 -1 -3 0 -1 -1 0 1 4 0 -1 2 -1 0 2 -2 2 -1 -1 -1 1] [ 0 -1 -1 -2 1 -1 0 -2 1 0 4 0 1 -1 -1 2 0 1 0 0 -1 -1] [-2 1 1 -1 -4 0 4 -1 0 -1 0 6 -1 0 1 1 1 0 -1 4 0 -1] [-1 1 -1 -2 1 -1 -1 -1 1 2 1 -1 4 0 0 3 -2 2 0 -1 -1 0] [ 1 0 -1 0 0 0 0 0 -2 -1 -1 0 0 4 1 0 0 -2 1 0 2 0] [ 0 1 1 1 -1 0 1 0 -1 0 -1 1 0 1 4 1 0 -1 0 1 1 0] [-2 1 -2 -3 0 -1 1 -2 0 2 2 1 3 0 1 6 -2 1 1 1 0 1] [ 0 0 0 2 0 2 0 0 0 -2 0 1 -2 0 0 -2 4 -1 0 0 0 0] [-1 1 0 -2 0 0 0 -1 2 2 1 0 2 -2 -1 1 -1 4 -1 0 -2 0] [-1 0 -2 1 1 2 -1 1 -1 -1 0 -1 0 1 0 1 0 -1 4 -1 1 2] [-2 1 1 -1 -4 0 4 -1 0 -1 0 4 -1 0 1 1 0 0 -1 6 1 -1] [ 1 -1 0 1 0 -1 0 1 -2 -1 -1 0 -1 2 1 0 0 -2 1 1 4 0] [-1 1 -2 0 1 2 -1 1 0 1 -1 -1 0 0 0 1 0 0 2 -1 0 4] |Aut| = [ <2, 7>, <3, 1>, <5, 1> ] Modular = true LatDB = - 17. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 1 0 1 1 -1 0 -1 1 -1 2 2 0 1 1 1 -1 -1 2 0] [ 1 4 1 -1 -1 1 1 1 0 -2 0 1 2 -1 0 -1 2 1 -2 -1 -1 0] [ 0 1 4 -1 0 0 -1 2 -1 -1 1 2 2 -2 -1 0 1 0 1 0 -2 -1] [ 1 -1 -1 4 -1 1 0 0 -1 0 1 0 1 0 -1 -1 0 1 -1 -1 0 -1] [ 0 -1 0 -1 4 -1 -1 -1 -1 1 -1 -1 -1 1 -1 2 1 0 1 0 1 2] [ 1 1 0 1 -1 4 1 0 1 -2 1 0 2 1 1 -2 0 2 -2 -2 -1 0] [ 1 1 -1 0 -1 1 4 -1 2 -2 -1 -1 -1 0 2 0 1 0 -2 0 2 0] [-1 1 2 0 -1 0 -1 4 0 0 0 2 1 -1 -1 -1 0 1 0 -1 -2 -1] [ 0 0 -1 -1 -1 1 2 0 4 -1 0 -1 -1 1 2 0 -1 0 -1 0 1 0] [-1 -2 -1 0 1 -2 -2 0 -1 4 -1 0 -2 1 -1 1 -1 -1 2 1 1 1] [ 1 0 1 1 -1 1 -1 0 0 -1 4 0 3 -1 0 0 0 0 0 0 -2 -2] [-1 1 2 0 -1 0 -1 2 -1 0 0 4 0 -1 -1 -1 0 1 0 -1 -2 -1] [ 2 2 2 1 -1 2 -1 1 -1 -2 3 0 6 -1 -1 -1 1 1 -1 -1 -2 -1] [ 2 -1 -2 0 1 1 0 -1 1 1 -1 -1 -1 6 1 1 -2 2 0 -2 3 1] [ 0 0 -1 -1 -1 1 2 -1 2 -1 0 -1 -1 1 4 0 -1 -1 -1 0 1 0] [ 1 -1 0 -1 2 -2 0 -1 0 1 0 -1 -1 1 0 4 1 -1 1 1 2 1] [ 1 2 1 0 1 0 1 0 -1 -1 0 0 1 -2 -1 1 4 0 -1 0 0 1] [ 1 1 0 1 0 2 0 1 0 -1 0 1 1 2 -1 -1 0 4 -1 -2 0 0] [-1 -2 1 -1 1 -2 -2 0 -1 2 0 0 -1 0 -1 1 -1 -1 4 1 0 0] [-1 -1 0 -1 0 -2 0 -1 0 1 0 -1 -1 -2 0 1 0 -2 1 4 1 0] [ 2 -1 -2 0 1 -1 2 -2 1 1 -2 -2 -2 3 1 2 0 0 0 1 6 1] [ 0 0 -1 -1 2 0 0 -1 0 1 -2 -1 -1 1 0 1 1 0 0 0 1 4] |Aut| = [ <2, 5>, <3, 2>, <5, 1> ] Modular = false LatDB = - 18. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 1 -1 -2 1 -1 -1 -1 -2 -2 0 -2 0 -2 -2 0 -2 1 -1] [ 1 4 1 0 2 1 0 2 1 1 -2 0 -1 0 0 1 1 -1 -1 1 2 1] [-2 1 4 1 0 0 2 0 0 1 1 2 1 -1 2 1 2 1 -1 1 -1 2] [-1 0 1 4 1 2 2 1 2 2 0 -1 1 -1 1 -1 1 2 -2 2 1 2] [ 1 2 0 1 4 0 -1 2 1 1 0 -2 -1 1 -1 -1 -1 -1 -2 1 2 2] [-1 1 0 2 0 4 1 1 2 2 -1 0 1 0 0 0 2 2 0 2 1 0] [-2 0 2 2 -1 1 4 -1 1 1 0 1 2 -2 2 1 2 1 -1 1 -1 1] [ 1 2 0 1 2 1 -1 4 0 1 0 -2 -1 1 -1 -1 1 1 -2 1 2 2] [-1 1 0 2 1 2 1 0 4 2 -1 0 1 0 0 0 1 1 0 2 1 0] [-1 1 1 2 1 2 1 1 2 4 1 0 1 -1 0 -1 2 1 0 2 0 2] [-1 -2 1 0 0 -1 0 0 -1 1 6 -1 1 1 0 -2 1 2 -1 -1 -3 2] [-2 0 2 -1 -2 0 1 -2 0 0 -1 6 2 -1 2 2 1 1 3 1 -2 0] [-2 -1 1 1 -1 1 2 -1 1 1 1 2 4 -1 1 1 2 2 1 1 -1 0] [ 0 0 -1 -1 1 0 -2 1 0 -1 1 -1 -1 4 -1 -1 0 0 -1 0 0 0] [-2 0 2 1 -1 0 2 -1 0 0 0 2 1 -1 4 0 1 1 -1 1 0 1] [ 0 1 1 -1 -1 0 1 -1 0 -1 -2 2 1 -1 0 4 0 -1 1 0 0 -1] [-2 1 2 1 -1 2 2 1 1 2 1 1 2 0 1 0 6 3 -1 1 0 0] [-2 -1 1 2 -1 2 1 1 1 1 2 1 2 0 1 -1 3 6 0 1 0 1] [ 0 -1 -1 -2 -2 0 -1 -2 0 0 -1 3 1 -1 -1 1 -1 0 6 0 -2 -2] [-2 1 1 2 1 2 1 1 2 2 -1 1 1 0 1 0 1 1 0 4 1 2] [ 1 2 -1 1 2 1 -1 2 1 0 -3 -2 -1 0 0 0 0 0 -2 1 6 -1] [-1 1 2 2 2 0 1 2 0 2 2 0 0 0 1 -1 0 1 -2 2 -1 6] |Aut| = [ <2, 5>, <3, 2>, <5, 1> ] Modular = true LatDB = - 19. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 -2 -2 1 -2 -1 -1 -2 0 0 1 -2 2 1 -1 -2 0 0] [ 1 4 -1 -1 2 0 0 2 0 1 -2 -2 0 1 2 0 2 0 -1 1 1 1] [-1 -1 4 2 -1 2 -1 -1 2 -1 2 2 1 1 -2 1 0 1 -1 -1 1 1] [-2 -1 2 4 0 2 1 0 2 1 2 2 1 1 -2 2 -2 -1 1 1 1 1] [ 1 2 -1 0 4 -1 -1 2 0 1 0 -2 -1 0 0 -1 0 0 -1 1 1 0] [-2 0 2 2 -1 4 0 0 2 1 1 2 0 0 -1 1 -1 -1 1 1 1 0] [-2 0 -1 1 -1 0 4 -1 0 1 0 0 0 0 0 2 -1 -1 1 1 0 0] [ 1 2 -1 0 2 0 -1 4 -1 1 0 -2 0 1 0 -1 0 0 -1 1 1 1] [-2 0 2 2 0 2 0 -1 4 1 1 2 1 1 -1 1 -1 -1 1 1 1 1] [-1 1 -1 1 1 1 1 1 1 4 1 0 0 0 -1 1 0 -2 2 2 1 0] [-1 -2 2 2 0 1 0 0 1 1 6 0 0 0 -4 0 -2 1 -1 -1 2 1] [-2 -2 2 2 -2 2 0 -2 2 0 0 6 2 -1 0 1 0 -1 3 1 0 0] [ 0 0 1 1 -1 0 0 0 1 0 0 2 4 1 1 1 0 0 1 0 1 2] [ 0 1 1 1 0 0 0 1 1 0 0 -1 1 4 -1 1 0 1 -1 0 1 2] [ 1 2 -2 -2 0 -1 0 0 -1 -1 -4 0 1 -1 6 0 1 -1 0 1 -1 0] [-2 0 1 2 -1 1 2 -1 1 1 0 1 1 1 0 4 0 -1 1 1 0 1] [ 2 2 0 -2 0 -1 -1 0 -1 0 -2 0 0 0 1 0 6 1 -1 -1 0 1] [ 1 0 1 -1 0 -1 -1 0 -1 -2 1 -1 0 1 -1 -1 1 4 -2 -2 1 1] [-1 -1 -1 1 -1 1 1 -1 1 2 -1 3 1 -1 0 1 -1 -2 6 2 -1 -1] [-2 1 -1 1 1 1 1 1 1 2 -1 1 0 0 1 1 -1 -2 2 4 0 0] [ 0 1 1 1 1 1 0 1 1 1 2 0 1 1 -1 0 0 1 -1 0 4 1] [ 0 1 1 1 0 0 0 1 1 0 1 0 2 2 0 1 1 1 -1 0 1 4] |Aut| = [ <2, 5>, <3, 2>, <5, 1> ] Modular = true LatDB = - 20. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 -2 0 1 -2 -1 -2 -1 -1 -2 -2 -2 -1 -1 2 2 2 2] [ 1 4 0 1 0 -1 0 -1 0 1 -1 1 -2 -1 -1 1 -1 1 2 1 2 0] [-1 0 4 2 2 1 0 -2 -1 2 1 2 0 1 2 2 -1 2 -2 -2 -2 1] [-1 1 2 4 1 1 -1 -2 0 1 1 1 -1 1 1 2 -1 1 0 -1 0 0] [-2 0 2 1 4 2 0 -1 1 1 2 1 0 2 1 1 1 1 -1 -1 -1 -1] [-2 -1 1 1 2 4 1 0 2 0 2 0 0 2 0 1 0 0 0 0 -1 -2] [ 0 0 0 -1 0 1 4 2 -1 0 0 0 0 0 1 0 -1 0 1 -1 -1 1] [ 1 -1 -2 -2 -1 0 2 4 -1 -2 0 -2 0 0 -1 -2 0 -2 1 1 0 0] [-2 0 -1 0 1 2 -1 -1 6 1 1 1 -1 1 0 1 0 1 1 0 0 -2] [-1 1 2 1 1 0 0 -2 1 4 1 2 0 0 2 2 -1 2 -1 -2 -1 1] [-2 -1 1 1 2 2 0 0 1 1 4 0 0 2 0 1 0 0 -2 0 -1 -2] [-1 1 2 1 1 0 0 -2 1 2 0 4 0 1 1 2 -1 2 -1 -2 -1 1] [-1 -2 0 -1 0 0 0 0 -1 0 0 0 4 0 1 -1 2 0 -2 -1 -1 0] [-2 -1 1 1 2 2 0 0 1 0 2 1 0 4 1 1 0 0 -2 0 -1 -2] [-2 -1 2 1 1 0 1 -1 0 2 0 1 1 1 6 1 0 2 -1 -4 -3 2] [-2 1 2 2 1 1 0 -2 1 2 1 2 -1 1 1 4 -1 2 -1 -1 -1 -1] [-1 -1 -1 -1 1 0 -1 0 0 -1 0 -1 2 0 0 -1 4 -1 -1 0 0 -1] [-1 1 2 1 1 0 0 -2 1 2 0 2 0 0 2 2 -1 4 -1 -1 -1 1] [ 2 2 -2 0 -1 0 1 1 1 -1 -2 -1 -2 -2 -1 -1 -1 -1 6 1 2 1] [ 2 1 -2 -1 -1 0 -1 1 0 -2 0 -2 -1 0 -4 -1 0 -1 1 6 3 -2] [ 2 2 -2 0 -1 -1 -1 0 0 -1 -1 -1 -1 -1 -3 -1 0 -1 2 3 4 -1] [ 2 0 1 0 -1 -2 1 0 -2 1 -2 1 0 -2 2 -1 -1 1 1 -2 -1 6] |Aut| = [ <2, 5>, <3, 2>, <5, 1> ] Modular = true LatDB = - 21. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -2 -1 -2 -2 -1 -1 -2 -1 -2 -1 -2 2 2 -1 -1 -1 -2 -1 2] [-1 4 -1 2 0 0 1 -1 0 1 1 1 1 0 0 0 0 1 1 0 1 -2] [-2 -1 4 1 1 2 0 0 1 0 -1 0 -1 2 -2 -2 1 -1 -1 2 -1 -1] [-2 2 1 6 -1 2 2 0 1 0 1 0 1 2 -3 -2 2 0 -1 -1 -1 -3] [-1 0 1 -1 4 1 1 0 -1 0 -1 0 -1 1 0 -1 -1 1 1 2 1 0] [-2 0 2 2 1 4 0 1 0 0 -1 0 -1 1 -2 -1 1 1 -1 0 0 -1] [-2 1 0 2 1 0 4 1 0 1 2 1 2 2 -1 -1 0 1 1 1 1 -2] [-1 -1 0 0 0 1 1 4 1 1 1 1 1 1 0 -1 1 0 1 0 0 1] [-1 0 1 1 -1 0 0 1 4 0 1 0 1 0 -1 0 1 -1 1 1 -1 1] [-2 1 0 0 0 0 1 1 0 4 2 2 1 1 0 0 1 1 1 0 1 -1] [-1 1 -1 1 -1 -1 2 1 1 2 4 1 2 0 0 0 0 1 1 0 1 0] [-2 1 0 0 0 0 1 1 0 2 1 4 2 1 0 0 1 1 1 0 1 0] [-1 1 -1 1 -1 -1 2 1 1 1 2 2 4 0 0 0 0 1 1 0 1 -1] [-2 0 2 2 1 1 2 1 0 1 0 1 0 4 -2 -2 2 -1 0 1 -1 -2] [ 2 0 -2 -3 0 -2 -1 0 -1 0 0 0 0 -2 4 2 -2 0 1 -1 1 2] [ 2 0 -2 -2 -1 -1 -1 -1 0 0 0 0 0 -2 2 6 0 1 0 -3 1 2] [-1 0 1 2 -1 1 0 1 1 1 0 1 0 2 -2 0 4 -1 -1 -1 -1 -1] [-1 1 -1 0 1 1 1 0 -1 1 1 1 1 -1 0 1 -1 4 1 0 2 0] [-1 1 -1 -1 1 -1 1 1 1 1 1 1 1 0 1 0 -1 1 4 1 1 1] [-2 0 2 -1 2 0 1 0 1 0 0 0 0 1 -1 -3 -1 0 1 6 1 -1] [-1 1 -1 -1 1 0 1 0 -1 1 1 1 1 -1 1 1 -1 2 1 1 4 -1] [ 2 -2 -1 -3 0 -1 -2 1 1 -1 0 0 -1 -2 2 2 -1 0 1 -1 -1 6] |Aut| = [ <2, 6>, <3, 1>, <5, 1> ] Modular = true LatDB = - 22. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 1 2 0 -1 2 -2 0 -1 1 -1 -1 0 -1 0 2 0 -1 0] [ 1 4 -1 1 -1 0 1 -1 1 1 1 -1 0 -1 0 1 -2 -1 2 1 1 -1] [ 2 -1 4 -2 0 2 0 0 0 -1 0 0 0 0 0 -1 -1 0 1 0 -1 1] [-1 1 -2 4 -1 0 -1 -1 0 0 -1 -1 -1 -1 1 2 -1 1 1 -1 0 -1] [ 1 -1 0 -1 4 -1 1 -1 2 -2 1 -1 1 -1 -1 -1 2 -1 -1 1 -1 -1] [ 2 0 2 0 -1 4 -1 -1 1 -1 -1 -1 0 -1 0 1 -1 1 1 -1 -1 0] [ 0 1 0 -1 1 -1 4 0 1 1 2 -1 -1 -1 1 0 0 -2 -1 2 1 -1] [-1 -1 0 -1 -1 -1 0 4 -2 2 -1 2 1 2 -1 -1 0 1 -1 -1 0 2] [ 2 1 0 0 2 1 1 -2 6 0 0 -1 0 -1 0 -1 0 0 2 0 1 0] [-2 1 -1 0 -2 -1 1 2 0 6 -1 1 0 1 0 -1 0 1 1 -1 2 1] [ 0 1 0 -1 1 -1 2 -1 0 -1 4 -1 0 0 1 0 0 -2 -1 2 0 -1] [-1 -1 0 -1 -1 -1 -1 2 -1 1 -1 4 0 2 -1 -1 0 0 -1 -1 1 2] [ 1 0 0 -1 1 0 -1 1 0 0 0 0 4 0 -1 -1 1 0 1 0 -1 1] [-1 -1 0 -1 -1 -1 -1 2 -1 1 0 2 0 4 -1 -1 0 1 -1 -1 1 2] [-1 0 0 1 -1 0 1 -1 0 0 1 -1 -1 -1 4 0 -1 -1 1 1 0 0] [ 0 1 -1 2 -1 1 0 -1 -1 -1 0 -1 -1 -1 0 4 0 0 -1 0 0 -1] [-1 -2 -1 -1 2 -1 0 0 0 0 0 0 1 0 -1 0 4 0 -2 0 0 0] [ 0 -1 0 1 -1 1 -2 1 0 1 -2 0 0 1 -1 0 0 4 1 -2 0 1] [ 2 2 1 1 -1 1 -1 -1 2 1 -1 -1 1 -1 1 -1 -2 1 6 -1 0 1] [ 0 1 0 -1 1 -1 2 -1 0 -1 2 -1 0 -1 1 0 0 -2 -1 4 1 -1] [-1 1 -1 0 -1 -1 1 0 1 2 0 1 -1 1 0 0 0 0 0 1 4 0] [ 0 -1 1 -1 -1 0 -1 2 0 1 -1 2 1 2 0 -1 0 1 1 -1 0 4] |Aut| = [ <2, 6>, <3, 1>, <5, 1> ] Modular = true LatDB = - 23. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 0 -2 1 -2 -1 2 -2 0 1 -1 2 -1 -2 0 0 -2 0 -1] [ 0 4 -1 0 1 1 1 1 2 -1 1 1 1 0 -2 -2 -1 1 -1 1 -1 -2] [ 0 -1 4 0 -2 0 1 0 0 -1 0 0 1 0 1 0 1 -2 0 0 1 2] [ 2 0 0 4 -1 0 1 0 0 2 0 1 1 -2 0 -1 -1 -1 -1 0 0 -2] [ 0 1 -2 -1 4 0 0 0 0 -1 0 -1 -1 0 -1 -1 0 2 1 0 -1 -2] [-2 1 0 0 0 4 -1 1 2 -1 1 1 0 -1 -2 0 2 -1 -1 1 -1 0] [ 1 1 1 1 0 -1 4 0 0 1 0 -1 1 0 1 -2 0 -1 1 0 0 -2] [-2 1 0 0 0 1 0 4 2 -2 2 0 -1 0 -1 0 0 0 -1 2 1 0] [-1 2 0 0 0 2 0 2 4 -1 1 0 1 0 -2 0 0 0 -2 1 -1 0] [ 2 -1 -1 2 -1 -1 1 -2 -1 6 -2 -1 1 0 1 0 0 0 1 -2 0 -1] [-2 1 0 0 0 1 0 2 1 -2 4 0 0 -1 -1 0 0 0 -1 2 0 0] [ 0 1 0 1 -1 1 -1 0 0 -1 0 4 1 -1 -2 -1 0 0 -1 0 -1 -1] [ 1 1 1 1 -1 0 1 -1 1 1 0 1 4 -1 0 -1 0 -1 0 0 -1 0] [-1 0 0 -2 0 -1 0 0 0 0 -1 -1 -1 4 -1 1 0 1 0 0 1 1] [ 2 -2 1 0 -1 -2 1 -1 -2 1 -1 -2 0 -1 6 0 -1 -2 2 -1 1 2] [-1 -2 0 -1 -1 0 -2 0 0 0 0 -1 -1 1 0 4 1 0 -1 0 1 3] [-2 -1 1 -1 0 2 0 0 0 0 0 0 0 0 -1 1 4 -1 1 0 0 1] [ 0 1 -2 -1 2 -1 -1 0 0 0 0 0 -1 1 -2 0 -1 4 0 0 0 -1] [ 0 -1 0 -1 1 -1 1 -1 -2 1 -1 -1 0 0 2 -1 1 0 4 -1 0 0] [-2 1 0 0 0 1 0 2 1 -2 2 0 0 0 -1 0 0 0 -1 4 1 0] [ 0 -1 1 0 -1 -1 0 1 -1 0 0 -1 -1 1 1 1 0 0 0 1 4 1] [-1 -2 2 -2 -2 0 -2 0 0 -1 0 -1 0 1 2 3 1 -1 0 0 1 6] |Aut| = [ <2, 6>, <3, 1>, <5, 1> ] Modular = true LatDB = - 24. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -2 2 -2 0 0 0 0 0 0 2 0 -2 0 -2 0 0 -2 0 -2] [ 0 4 -1 1 0 2 -2 1 -2 0 2 2 -2 2 0 -2 0 1 2 0 -2 2] [-1 -1 4 2 -2 -1 1 0 1 0 -1 -2 -1 -1 1 0 1 0 -1 2 2 1] [-2 1 2 4 -1 1 -1 0 -1 0 1 -1 -2 1 2 0 2 0 1 1 1 2] [ 2 0 -2 -1 6 -2 -1 -2 -2 2 1 1 3 1 -1 2 -1 -2 1 -1 -2 -3] [-2 2 -1 1 -2 6 -2 0 -1 -2 2 2 -2 2 1 -2 2 2 2 1 0 3] [ 0 -2 1 -1 -1 -2 4 1 2 1 -1 -2 1 -2 0 0 0 -1 -2 0 0 0] [ 0 1 0 0 -2 0 1 4 0 -1 -1 0 -2 0 0 -1 0 0 0 0 -1 1] [ 0 -2 1 -1 -2 -1 2 0 4 -1 -1 -2 0 -2 0 0 0 1 -2 0 2 -1] [ 0 0 0 0 2 -2 1 -1 -1 4 0 0 2 0 0 0 0 -1 0 0 -1 -1] [ 0 2 -1 1 1 2 -1 -1 -1 0 4 1 -1 1 1 -1 1 1 1 0 -1 1] [ 0 2 -2 -1 1 2 -2 0 -2 0 1 4 -1 1 -1 -1 -1 0 1 0 -2 0] [ 2 -2 -1 -2 3 -2 1 -2 0 2 -1 -1 6 0 -2 1 -1 -1 0 -1 1 -3] [ 0 2 -1 1 1 2 -2 0 -2 0 1 1 0 4 1 -1 1 1 2 0 0 1] [-2 0 1 2 -1 1 0 0 0 0 1 -1 -2 1 4 0 2 1 0 1 1 2] [ 0 -2 0 0 2 -2 0 -1 0 0 -1 -1 1 -1 0 4 0 -2 -1 0 0 -2] [-2 0 1 2 -1 2 0 0 0 0 1 -1 -1 1 2 0 4 1 1 1 1 1] [ 0 1 0 0 -2 2 -1 0 1 -1 1 0 -1 1 1 -2 1 4 1 0 2 1] [ 0 2 -1 1 1 2 -2 0 -2 0 1 1 0 2 0 -1 1 1 4 0 -1 1] [-2 0 2 1 -1 1 0 0 0 0 0 0 -1 0 1 0 1 0 0 4 0 1] [ 0 -2 2 1 -2 0 0 -1 2 -1 -1 -2 1 0 1 0 1 2 -1 0 6 -1] [-2 2 1 2 -3 3 0 1 -1 -1 1 0 -3 1 2 -2 1 1 1 1 -1 6] |Aut| = [ <2, 5>, <3, 3> ] Modular = true LatDB = - 25. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 -1 -2 -2 0 -2 -1 2 -1 -2 -2 -2 -2 2 2 -2 2 -2] [ 1 4 0 1 0 1 0 0 0 0 1 0 0 -1 1 1 -2 0 -1 -2 0 1] [-1 0 4 2 2 2 0 0 0 0 2 0 -1 1 1 2 2 0 1 0 -1 1] [-1 1 2 4 1 2 1 0 -1 1 2 -1 -1 1 2 2 2 -1 0 -1 -1 2] [-2 0 2 1 4 1 0 0 0 0 1 0 1 2 2 1 1 0 -1 0 -2 2] [-1 1 2 2 1 4 0 1 -1 1 2 -1 -1 1 2 2 0 -1 -1 -1 0 2] [-2 0 0 1 0 0 4 2 1 2 1 -2 0 1 2 1 2 -2 -2 0 -2 2] [-2 0 0 0 0 1 2 4 1 2 1 -2 0 1 2 1 1 -2 -1 0 0 2] [ 0 0 0 -1 0 -1 1 1 4 -1 0 1 -1 0 1 0 1 1 0 -1 0 1] [-2 0 0 1 0 1 2 2 -1 4 0 -2 0 1 1 1 0 -2 -2 1 0 1] [-1 1 2 2 1 2 1 1 0 0 4 -1 -1 1 1 2 1 -1 -1 0 -1 1] [ 2 0 0 -1 0 -1 -2 -2 1 -2 -1 4 0 0 -2 -1 -1 2 1 -1 1 -1] [-1 0 -1 -1 1 -1 0 0 -1 0 -1 0 4 0 0 -1 0 0 -1 1 -1 0] [-2 -1 1 1 2 1 1 1 0 1 1 0 0 4 2 1 1 -1 -2 1 -1 1] [-2 1 1 2 2 2 2 2 1 1 1 -2 0 2 6 1 2 -1 -1 -2 -2 4] [-2 1 2 2 1 2 1 1 0 1 2 -1 -1 1 1 4 1 -1 -1 1 -1 1] [-2 -2 2 2 1 0 2 1 1 0 1 -1 0 1 2 1 6 -1 1 0 -2 2] [ 2 0 0 -1 0 -1 -2 -2 1 -2 -1 2 0 -1 -1 -1 -1 4 1 0 1 -1] [ 2 -1 1 0 -1 -1 -2 -1 0 -2 -1 1 -1 -2 -1 -1 1 1 6 -1 1 -1] [-2 -2 0 -1 0 -1 0 0 -1 1 0 -1 1 1 -2 1 0 0 -1 6 0 -2] [ 2 0 -1 -1 -2 0 -2 0 0 0 -1 1 -1 -1 -2 -1 -2 1 1 0 4 -2] [-2 1 1 2 2 2 2 2 1 1 1 -1 0 1 4 1 2 -1 -1 -2 -2 6] |Aut| = [ <2, 5>, <3, 3> ] Modular = true LatDB = - 26. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 -1 1 1 1 0 -1 1 1 1 1 -1 1 -2 -1 -1 1 1 -1] [ 1 4 2 0 -1 -1 1 1 -1 0 1 1 1 1 -1 0 -1 -1 -1 1 1 1] [ 1 2 4 -1 -2 0 2 0 1 0 2 0 0 0 0 0 0 -2 0 2 0 1] [ 1 0 -1 4 1 1 0 -1 0 -1 0 -1 2 -1 -2 -1 -2 0 -2 0 2 1] [-1 -1 -2 1 4 0 -2 1 0 -1 -2 1 0 1 0 1 1 2 -1 -2 0 -1] [ 1 -1 0 1 0 4 -1 0 0 -1 -1 0 0 0 0 0 -2 1 0 -1 0 0] [ 1 1 2 0 -2 -1 4 0 1 1 2 -1 1 -1 -1 -1 0 -2 0 2 0 1] [ 1 1 0 -1 1 0 0 4 0 -1 -1 2 -1 2 1 2 0 1 -1 -1 0 -1] [ 0 -1 1 0 0 0 1 0 4 -1 1 0 -1 0 1 0 1 -1 0 1 -1 1] [-1 0 0 -1 -1 -1 1 -1 -1 4 1 -1 0 -1 0 -2 1 -1 1 1 0 0] [ 1 1 2 0 -2 -1 2 -1 1 1 4 -1 1 0 0 -1 0 -2 0 2 0 1] [ 1 1 0 -1 1 0 -1 2 0 -1 -1 4 -1 2 0 2 0 0 -1 -1 0 -1] [ 1 1 0 2 0 0 1 -1 -1 0 1 -1 4 -1 -1 -1 -1 -1 0 1 1 1] [ 1 1 0 -1 1 0 -1 2 0 -1 0 2 -1 4 0 2 0 1 -1 -1 0 -1] [-1 -1 0 -2 0 0 -1 1 1 0 0 0 -1 0 4 0 1 0 2 0 -2 0] [ 1 0 0 -1 1 0 -1 2 0 -2 -1 2 -1 2 0 4 1 1 -1 -1 0 -1] [-2 -1 0 -2 1 -2 0 0 1 1 0 0 -1 0 1 1 4 0 1 0 -1 0] [-1 -1 -2 0 2 1 -2 1 -1 -1 -2 0 -1 1 0 1 0 4 0 -2 0 -1] [-1 -1 0 -2 -1 0 0 -1 0 1 0 -1 0 -1 2 -1 1 0 4 0 -2 0] [ 1 1 2 0 -2 -1 2 -1 1 1 2 -1 1 -1 0 -1 0 -2 0 4 1 1] [ 1 1 0 2 0 0 0 0 -1 0 0 0 1 0 -2 0 -1 0 -2 1 4 0] [-1 1 1 1 -1 0 1 -1 1 0 1 -1 1 -1 0 -1 0 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 2>, <5, 1> ] Modular = true LatDB = - 27. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 1 -1 2 -1 -1 1 -2 -2 -1 1 -1 1 1 1 1 0 0 0] [-2 4 2 1 0 1 -1 1 1 -1 2 1 1 0 1 -1 0 0 -2 1 0 1] [-2 2 4 2 -1 1 -2 1 0 -1 2 0 1 0 0 0 -1 0 -2 0 0 1] [-1 1 2 4 -2 2 -1 2 0 1 1 0 2 0 0 0 -2 0 -1 0 0 2] [ 1 0 -1 -2 4 -1 1 -2 1 -1 -1 0 -2 -1 -1 -1 2 1 0 0 0 -1] [-1 1 1 2 -1 4 -2 1 1 1 1 1 2 1 -1 -1 -2 1 -1 1 -1 2] [ 2 -1 -2 -1 1 -2 4 0 0 0 -2 -1 -1 0 0 0 2 -1 2 -1 0 -1] [-1 1 1 2 -2 1 0 4 0 0 1 1 2 1 0 -1 -1 0 0 1 -1 1] [-1 1 0 0 1 1 0 0 4 -1 0 1 0 1 0 0 1 1 -1 0 1 1] [ 1 -1 -1 1 -1 1 0 0 -1 4 -1 -1 1 0 0 0 -2 1 1 -1 -1 1] [-2 2 2 1 -1 1 -2 1 0 -1 4 0 2 0 0 0 -1 0 -2 0 0 1] [-2 1 0 0 0 1 -1 1 1 -1 0 4 0 0 1 -2 0 0 0 2 -1 -1] [-1 1 1 2 -2 2 -1 2 0 1 2 0 4 0 0 0 -2 0 -1 0 0 2] [ 1 0 0 0 -1 1 0 1 1 0 0 0 0 4 -1 0 0 1 0 1 -1 1] [-1 1 0 0 -1 -1 0 0 0 0 0 1 0 -1 4 1 1 0 -1 0 1 -1] [ 1 -1 0 0 -1 -1 0 -1 0 0 0 -2 0 0 1 4 1 0 -1 -1 2 1] [ 1 0 -1 -2 2 -2 2 -1 1 -2 -1 0 -2 0 1 1 4 0 0 0 1 -1] [ 1 0 0 0 1 1 -1 0 1 1 0 0 0 1 0 0 0 4 -1 1 0 1] [ 1 -2 -2 -1 0 -1 2 0 -1 1 -2 0 -1 0 -1 -1 0 -1 4 -1 -1 -1] [ 0 1 0 0 0 1 -1 1 0 -1 0 2 0 1 0 -1 0 1 -1 4 0 0] [ 0 0 0 0 0 -1 0 -1 1 -1 0 -1 0 -1 1 2 1 0 -1 0 4 0] [ 0 1 1 2 -1 2 -1 1 1 1 1 -1 2 1 -1 1 -1 1 -1 0 0 4] |Aut| = [ <2, 4>, <3, 2>, <5, 1> ] Modular = true LatDB = - 28. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 2 1 -1 0 0 0 1 1 -1 0 0 1 -1 -1 1 1 1 1] [-2 4 -2 2 -2 -1 2 -1 1 -1 -1 -2 0 -1 1 -1 -1 2 -2 -2 1 1] [ 2 -2 4 -2 0 0 -1 1 -1 0 0 0 -1 1 -1 2 -1 0 0 2 -1 0] [-2 2 -2 4 -2 0 1 0 0 1 -1 0 0 0 0 0 1 2 0 0 1 0] [ 2 -2 0 -2 4 0 -1 0 1 0 2 1 0 -1 0 -1 0 -2 1 0 0 0] [ 1 -1 0 0 0 4 1 1 -2 -1 -1 2 0 1 -1 0 -1 -2 0 2 -1 -1] [-1 2 -1 1 -1 1 4 -1 -1 -2 0 0 0 0 1 -1 -2 1 -2 -1 -1 1] [ 0 -1 1 0 0 1 -1 4 -1 1 0 1 1 1 -2 0 -1 0 1 2 -2 -2] [ 0 1 -1 0 1 -2 -1 -1 4 1 1 -1 0 -2 1 0 1 0 0 -1 2 1] [ 0 -1 0 1 0 -1 -2 1 1 4 1 0 0 0 -1 1 1 0 2 1 0 -1] [ 1 -1 0 -1 2 -1 0 0 1 1 4 1 1 -1 0 -1 0 -1 1 0 0 0] [ 1 -2 0 0 1 2 0 1 -1 0 1 4 1 0 -1 0 0 -1 2 1 -1 0] [-1 0 -1 0 0 0 0 1 0 0 1 1 4 1 0 -2 1 0 0 -1 -1 -1] [ 0 -1 1 0 -1 1 0 1 -2 0 -1 0 1 4 -1 0 0 1 0 0 -1 -1] [ 0 1 -1 0 0 -1 1 -2 1 -1 0 -1 0 -1 4 0 0 1 -1 -2 2 2] [ 1 -1 2 0 -1 0 -1 0 0 1 -1 0 -2 0 0 4 0 1 1 1 0 1] [-1 -1 -1 1 0 -1 -2 -1 1 1 0 0 1 0 0 0 6 0 1 0 2 -1] [-1 2 0 2 -2 -2 1 0 0 0 -1 -1 0 1 1 1 0 6 0 -2 1 2] [ 1 -2 0 0 1 0 -2 1 0 2 1 2 0 0 -1 1 1 0 4 0 0 0] [ 1 -2 2 0 0 2 -1 2 -1 1 0 1 -1 0 -2 1 0 -2 0 6 0 -2] [ 1 1 -1 1 0 -1 -1 -2 2 0 0 -1 -1 -1 2 0 2 1 0 0 6 1] [ 1 1 0 0 0 -1 1 -2 1 -1 0 0 -1 -1 2 1 -1 2 0 -2 1 4] |Aut| = [ <2, 6>, <3, 2> ] Modular = false LatDB = - 29. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 1 -1 -1 1 2 2 -2 1 -1 0 2 -2 -2 -2 -1 2 1] [ 1 4 -1 -2 1 1 1 -2 -1 0 1 -2 1 -2 1 2 -2 -2 -2 1 2 -1] [ 2 -1 4 1 1 -1 -2 1 2 1 1 -1 -1 1 0 1 -1 -1 -1 -2 1 2] [-1 -2 1 4 -2 -2 0 2 1 1 -2 2 0 2 0 -2 0 2 0 -1 0 1] [ 2 1 1 -2 4 1 0 -1 1 1 1 -1 0 -1 0 1 0 -1 0 -1 0 1] [ 1 1 -1 -2 1 4 1 -2 -1 0 0 -2 0 -1 -1 0 -1 -2 -1 0 1 0] [-1 1 -2 0 0 1 4 0 0 0 -1 0 1 -1 1 -1 1 0 0 1 1 0] [-1 -2 1 2 -1 -2 0 4 2 1 0 1 0 2 0 0 2 1 0 -1 -1 1] [ 1 -1 2 1 1 -1 0 2 4 2 0 -1 0 1 0 0 1 -1 0 -2 1 2] [ 2 0 1 1 1 0 0 1 2 4 0 0 1 0 0 1 0 0 -1 -2 1 1] [ 2 1 1 -2 1 0 -1 0 0 0 4 -1 0 -1 1 3 0 -2 -1 0 0 0] [-2 -2 -1 2 -1 -2 0 1 -1 0 -1 6 0 0 0 -1 2 3 2 1 -2 -1] [ 1 1 -1 0 0 0 1 0 0 1 0 0 4 -1 1 1 0 1 -2 1 1 0] [-1 -2 1 2 -1 -1 -1 2 1 0 -1 0 -1 4 0 -2 0 1 1 -1 -1 1] [ 0 1 0 0 0 -1 1 0 0 0 1 0 1 0 4 0 0 1 -1 0 1 1] [ 2 2 1 -2 1 0 -1 0 0 1 3 -1 1 -2 0 6 -1 -2 -2 0 0 0] [-2 -2 -1 0 0 -1 1 2 1 0 0 2 0 0 0 -1 6 1 2 0 -2 0] [-2 -2 -1 2 -1 -2 0 1 -1 0 -2 3 1 1 1 -2 1 6 2 0 -2 0] [-2 -2 -1 0 0 -1 0 0 0 -1 -1 2 -2 1 -1 -2 2 2 6 1 -3 -1] [-1 1 -2 -1 -1 0 1 -1 -2 -2 0 1 1 -1 0 0 0 0 1 4 0 -2] [ 2 2 1 0 0 1 1 -1 1 1 0 -2 1 -1 1 0 -2 -2 -3 0 6 0] [ 1 -1 2 1 1 0 0 1 2 1 0 -1 0 1 1 0 0 0 -1 -2 0 4] |Aut| = [ <2, 6>, <3, 2> ] Modular = true LatDB = - 30. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 -1 2 2 1 -2 1 1 1 -2 2 2 2 0 -1 1 -2 -2 2] [ 1 4 -1 -1 -2 0 2 2 1 2 2 2 -2 0 2 -1 0 -2 2 1 -2 0] [ 2 -1 4 1 0 2 1 0 -1 0 0 0 -1 2 1 1 0 0 0 -1 -1 2] [ 2 -1 1 4 1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 0 1 -1 -1 -1 1] [-1 -2 0 1 4 -1 0 -2 1 -1 -2 -1 2 0 -1 1 -1 1 -1 -1 0 -1] [ 2 0 2 1 -1 4 2 0 0 1 0 1 -1 2 0 0 1 -1 1 0 -1 1] [ 2 2 1 1 0 2 6 0 2 2 0 2 -1 3 3 -1 1 -2 0 1 -1 0] [ 1 2 0 -1 -2 0 0 4 0 2 2 1 -1 0 0 -1 1 -1 1 1 -1 1] [-2 1 -1 -1 1 0 2 0 6 2 -1 0 0 0 0 -3 0 0 0 3 1 -1] [ 1 2 0 -1 -1 1 2 2 2 4 1 2 -1 1 1 -1 0 -1 1 1 -1 0] [ 1 2 0 -1 -2 0 0 2 -1 1 4 2 -1 0 0 -1 1 -1 1 -1 -1 1] [ 1 2 0 -1 -1 1 2 1 0 2 2 4 -1 1 1 -1 0 -1 1 0 -1 0] [-2 -2 -1 -1 2 -1 -1 -1 0 -1 -1 -1 4 -1 -2 0 1 0 -1 0 1 -1] [ 2 0 2 1 0 2 3 0 0 1 0 1 -1 4 1 1 0 -1 0 -1 0 1] [ 2 2 1 1 -1 0 3 0 0 1 0 1 -2 1 6 0 -1 0 0 0 -2 0] [ 2 -1 1 1 1 0 -1 -1 -3 -1 -1 -1 0 1 0 6 -1 0 1 -4 0 1] [ 0 0 0 0 -1 1 1 1 0 0 1 0 1 0 -1 -1 4 -1 -1 1 1 0] [-1 -2 0 1 1 -1 -2 -1 0 -1 -1 -1 0 -1 0 0 -1 4 -1 0 1 0] [ 1 2 0 -1 -1 1 0 1 0 1 1 1 -1 0 0 1 -1 -1 4 -1 -2 1] [-2 1 -1 -1 -1 0 1 1 3 1 -1 0 0 -1 0 -4 1 0 -1 6 1 -1] [-2 -2 -1 -1 0 -1 -1 -1 1 -1 -1 -1 1 0 -2 0 1 1 -2 1 6 -1] [ 2 0 2 1 -1 1 0 1 -1 0 1 0 -1 1 0 1 0 0 1 -1 -1 4] |Aut| = [ <2, 6>, <3, 2> ] Modular = true LatDB = - 31. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 2 -2 -1 -2 0 -2 0 -1 -1 0 -1 -1 -2 1 1 -2 -2 -2 2] [-2 4 -1 -1 1 2 1 0 1 0 -1 -1 0 2 -1 1 1 1 1 1 1 -1] [-1 -1 4 -1 -1 1 0 0 1 0 2 0 0 -1 2 1 -2 0 1 2 2 0] [ 2 -1 -1 4 -1 -2 0 1 -2 1 -2 0 1 1 0 -2 0 1 -2 -2 0 1] [-2 1 -1 -1 6 -2 0 2 2 2 0 3 2 -1 2 2 0 0 2 1 -1 -1] [-1 2 1 -2 -2 6 0 -2 0 -1 0 -3 -2 2 -2 0 0 1 0 2 2 1] [-2 1 0 0 0 0 4 -1 0 0 1 0 -1 1 1 0 -1 0 0 0 1 -1] [ 0 0 0 1 2 -2 -1 4 0 2 -1 2 1 -1 0 0 0 0 0 0 -1 0] [-2 1 1 -2 2 0 0 0 4 -1 1 1 1 0 2 2 0 0 2 2 1 -1] [ 0 0 0 1 2 -1 0 2 -1 4 0 1 0 0 1 0 -1 1 0 0 0 1] [-1 -1 2 -2 0 0 1 -1 1 0 4 0 -1 -2 2 1 -1 -1 1 1 1 -1] [-1 -1 0 0 3 -3 0 2 1 1 0 4 1 -1 2 1 -1 -1 1 0 -1 -1] [ 0 0 0 1 2 -2 -1 1 1 0 -1 1 4 -1 1 1 1 0 1 0 0 -1] [-1 2 -1 1 -1 2 1 -1 0 0 -2 -1 -1 6 0 0 0 1 0 1 1 1] [-1 -1 2 0 2 -2 1 0 2 1 2 2 1 0 6 2 -2 1 2 1 1 0] [-2 1 1 -2 2 0 0 0 2 0 1 1 1 0 2 4 -1 0 2 2 1 -1] [ 1 1 -2 0 0 0 -1 0 0 -1 -1 -1 1 0 -2 -1 4 0 0 -1 -1 0] [ 1 1 0 1 0 1 0 0 0 1 -1 -1 0 1 1 0 0 4 0 0 1 2] [-2 1 1 -2 2 0 0 0 2 0 1 1 1 0 2 2 0 0 4 2 0 -1] [-2 1 2 -2 1 2 0 0 2 0 1 0 0 1 1 2 -1 0 2 4 1 0] [-2 1 2 0 -1 2 1 -1 1 0 1 -1 0 1 1 1 -1 1 0 1 6 -1] [ 2 -1 0 1 -1 1 -1 0 -1 1 -1 -1 -1 1 0 -1 0 2 -1 0 -1 4] |Aut| = [ <2, 6>, <3, 2> ] Modular = true LatDB = - 32. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 -1 -1 1 -2 -1 2 1 0 -2 2 -2 -1 -2 -2 2 -1 -2] [ 1 4 0 2 1 -2 1 2 -1 -2 0 2 -1 1 2 -1 1 1 -2 -1 1 0] [-1 0 4 1 2 -1 2 1 1 -1 1 1 1 2 -1 1 2 -1 2 1 2 1] [ 1 2 1 4 0 -2 1 2 -1 -1 1 2 1 1 0 -1 2 0 -1 0 2 0] [-1 1 2 0 4 -1 2 1 1 0 -1 1 0 2 0 1 0 1 0 -1 0 1] [-1 -2 -1 -2 -1 4 -2 -2 1 2 0 -2 0 -1 0 1 -1 1 0 0 -1 1] [-1 1 2 1 2 -2 4 1 1 -1 0 1 0 2 0 1 2 1 0 0 2 1] [ 1 2 1 2 1 -2 1 4 0 -1 0 2 1 1 1 -1 2 -1 -1 -1 1 0] [-2 -1 1 -1 1 1 1 0 4 0 -1 -1 0 1 -1 2 0 0 0 -1 1 2] [-1 -2 -1 -1 0 2 -1 -1 0 4 -1 -1 0 -1 -1 0 -1 1 1 0 -1 1] [ 2 0 1 1 -1 0 0 0 -1 -1 4 0 1 -1 1 -1 0 -2 0 3 0 -1] [ 1 2 1 2 1 -2 1 2 -1 -1 0 4 1 1 1 0 2 0 -1 -1 2 0] [ 0 -1 1 1 0 0 0 1 0 0 1 1 4 0 0 0 1 -1 0 -1 1 0] [-2 1 2 1 2 -1 2 1 1 -1 -1 1 0 4 -1 1 2 1 1 -1 2 1] [ 2 2 -1 0 0 0 0 1 -1 -1 1 1 0 -1 4 -1 0 0 -3 0 0 0] [-2 -1 1 -1 1 1 1 -1 2 0 -1 0 0 1 -1 4 0 2 0 -1 0 2] [-1 1 2 2 0 -1 2 2 0 -1 0 2 1 2 0 0 6 1 0 -1 4 1] [-2 1 -1 0 1 1 1 -1 0 1 -2 0 -1 1 0 2 1 6 -1 -2 0 2] [-2 -2 2 -1 0 0 0 -1 0 1 0 -1 0 1 -3 0 0 -1 6 1 0 0] [ 2 -1 1 0 -1 0 0 -1 -1 0 3 -1 -1 -1 0 -1 -1 -2 1 6 0 -1] [-1 1 2 2 0 -1 2 1 1 -1 0 2 1 2 0 0 4 0 0 0 6 1] [-2 0 1 0 1 1 1 0 2 1 -1 0 0 1 0 2 1 2 0 -1 1 4] |Aut| = [ <2, 6>, <3, 2> ] Modular = true LatDB = - 33. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 0 -1 0 2 -1 1 1 1 0 -1 0 1 0 -1 0 -1 2] [-2 4 1 -1 1 0 1 0 0 0 -1 -1 0 -1 0 -1 -1 1 2 -1 1 -2] [ 0 1 4 0 -1 0 0 0 1 1 1 1 -1 0 0 0 1 0 2 0 -1 1] [ 0 -1 0 4 1 1 1 0 0 -1 2 1 1 1 2 2 2 -2 0 2 -2 2] [ 1 1 -1 1 6 2 1 -1 1 -3 0 1 2 -2 2 1 2 0 1 1 -2 1] [ 0 0 0 1 2 4 -1 -1 0 0 1 0 2 1 0 0 0 1 0 0 0 0] [-1 1 0 1 1 -1 6 2 1 -1 1 2 -1 0 1 0 2 0 1 0 -2 1] [ 0 0 0 0 -1 -1 2 4 0 1 0 1 -2 1 -1 -1 -1 1 0 -1 1 -1] [ 2 0 1 0 1 0 1 0 4 0 0 2 0 -1 0 0 2 0 0 0 -2 2] [-1 0 1 -1 -3 0 -1 1 0 4 -1 0 -2 1 -1 -1 -1 1 -1 -1 1 -1] [ 1 -1 1 2 0 1 1 0 0 -1 4 0 1 2 0 0 1 0 0 0 -1 1] [ 1 -1 1 1 1 0 2 1 2 0 0 4 -1 -1 1 1 3 -1 0 1 -3 3] [ 1 0 -1 1 2 2 -1 -2 0 -2 1 -1 4 0 0 0 0 0 0 0 0 0] [ 0 -1 0 1 -2 1 0 1 -1 1 2 -1 0 4 -1 -1 -1 1 -1 -1 1 0] [-1 0 0 2 2 0 1 -1 0 -1 0 1 0 -1 4 2 2 -2 1 2 -2 2] [ 0 -1 0 2 1 0 0 -1 0 -1 0 1 0 -1 2 4 1 -2 0 2 -2 2] [ 1 -1 1 2 2 0 2 -1 2 -1 1 3 0 -1 2 1 6 -2 0 2 -4 4] [ 0 1 0 -2 0 1 0 1 0 1 0 -1 0 1 -2 -2 -2 4 0 -2 2 -2] [-1 2 2 0 1 0 1 0 0 -1 0 0 0 -1 1 0 0 0 4 0 0 0] [ 0 -1 0 2 1 0 0 -1 0 -1 0 1 0 -1 2 2 2 -2 0 4 -1 2] [-1 1 -1 -2 -2 0 -2 1 -2 1 -1 -3 0 1 -2 -2 -4 2 0 -1 6 -4] [ 2 -2 1 2 1 0 1 -1 2 -1 1 3 0 0 2 2 4 -2 0 2 -4 6] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 34. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 -1 -1 1 1 -1 -1 0 1 -1 -1 1 1 0 -2 0 1 1 2] [ 1 4 -1 -1 0 0 -1 1 -1 1 1 1 -1 -1 -1 0 1 1 1 2 1 2] [ 0 -1 4 0 0 1 0 0 0 0 0 0 0 -1 -1 1 1 -2 1 1 0 -1] [-1 -1 0 4 -1 1 0 1 2 0 1 1 2 -1 1 1 -2 1 -1 1 -2 -1] [-1 0 0 -1 4 0 -1 -2 -1 -1 -1 -2 -1 1 0 1 1 2 1 1 1 -1] [-1 0 1 1 0 4 1 1 2 -1 -1 1 2 0 0 -1 1 0 -1 1 -2 0] [ 1 -1 0 0 -1 1 4 0 0 0 -1 0 0 -1 2 0 1 -2 -2 0 0 0] [ 1 1 0 1 -2 1 0 4 0 0 0 2 1 0 0 0 -1 0 -1 0 -1 1] [-1 -1 0 2 -1 2 0 0 4 -1 0 1 2 0 0 -1 -1 0 -1 0 -2 0] [-1 1 0 0 -1 -1 0 0 -1 4 2 0 -1 -1 -1 0 1 0 1 0 1 0] [ 0 1 0 1 -1 -1 -1 0 0 2 4 0 0 -1 -1 0 0 1 2 0 0 0] [ 1 1 0 1 -2 1 0 2 1 0 0 4 0 0 0 0 -1 0 -1 0 -1 1] [-1 -1 0 2 -1 2 0 1 2 -1 0 0 4 0 0 -1 -1 0 -1 0 -2 0] [-1 -1 -1 -1 1 0 -1 0 0 -1 -1 0 0 4 0 -1 -1 2 0 -3 0 -1] [ 1 -1 -1 1 0 0 2 0 0 -1 -1 0 0 0 4 1 -1 -1 -2 0 0 0] [ 1 0 1 1 1 -1 0 0 -1 0 0 0 -1 -1 1 4 0 0 0 2 1 0] [ 0 1 1 -2 1 1 1 -1 -1 1 0 -1 -1 -1 -1 0 4 -1 1 1 1 1] [-2 1 -2 1 2 0 -2 0 0 0 1 0 0 2 -1 0 -1 6 1 0 0 -1] [ 0 1 1 -1 1 -1 -2 -1 -1 1 2 -1 -1 0 -2 0 1 1 4 0 1 0] [ 1 2 1 1 1 1 0 0 0 0 0 0 0 -3 0 2 1 0 0 6 1 1] [ 1 1 0 -2 1 -2 0 -1 -2 1 0 -1 -2 0 0 1 1 0 1 1 4 0] [ 2 2 -1 -1 -1 0 0 1 0 0 0 1 0 -1 0 0 1 -1 0 1 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 35. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 1 -1 2 -1 1 2 2 -1 -2 -1 -2 1 -2 -2 0 2 -2 -1] [ 1 4 -1 2 0 -1 2 1 2 -1 2 1 0 1 -1 2 -1 -2 0 2 0 1] [ 2 -1 4 -1 1 0 0 0 -1 1 0 0 -1 0 -1 -1 -1 0 -1 0 -1 -2] [ 1 2 -1 4 -1 -1 0 0 1 0 0 0 -1 0 0 2 0 0 0 0 -1 1] [ 1 0 1 -1 4 0 2 1 0 -1 2 1 0 1 -1 1 -2 -2 -1 2 0 1] [-1 -1 0 -1 0 4 1 1 0 -1 1 1 0 1 1 -1 0 -1 1 1 0 0] [ 2 2 0 0 2 1 6 1 1 0 4 0 0 0 -2 1 -3 -4 0 4 -1 1] [-1 1 0 0 1 1 1 4 1 -3 0 2 0 2 1 1 0 0 -1 0 1 1] [ 1 2 -1 1 0 0 1 1 4 0 1 1 -1 1 0 2 0 -1 1 1 -1 1] [ 2 -1 1 0 -1 -1 0 -3 0 6 -1 -2 0 -2 -2 -1 1 1 2 -1 -2 -2] [ 2 2 0 0 2 1 4 0 1 -1 6 0 0 1 -1 1 -3 -4 0 4 -1 1] [-1 1 0 0 1 1 0 2 1 -2 0 4 0 2 0 1 0 -1 -1 0 1 1] [-2 0 -1 -1 0 0 0 0 -1 0 0 0 4 0 1 -1 1 0 1 0 1 1] [-1 1 0 0 1 1 0 2 1 -2 1 2 0 4 0 1 0 0 -1 0 1 1] [-2 -1 -1 0 -1 1 -2 1 0 -2 -1 0 1 0 4 -1 1 1 1 -1 0 1] [ 1 2 -1 2 1 -1 1 1 2 -1 1 1 -1 1 -1 4 0 -1 -1 1 0 2] [-2 -1 -1 0 -2 0 -3 0 0 1 -3 0 1 0 1 0 4 3 1 -3 1 0] [-2 -2 0 0 -2 -1 -4 0 -1 1 -4 -1 0 0 1 -1 3 6 0 -4 1 -1] [ 0 0 -1 0 -1 1 0 -1 1 2 0 -1 1 -1 1 -1 1 0 4 0 -1 0] [ 2 2 0 0 2 1 4 0 1 -1 4 0 0 0 -1 1 -3 -4 0 6 0 1] [-2 0 -1 -1 0 0 -1 1 -1 -2 -1 1 1 1 0 0 1 1 -1 0 4 0] [-1 1 -2 1 1 0 1 1 1 -2 1 1 1 1 1 2 0 -1 0 1 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 36. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 -1 0 0 -2 0 -2 0 -2 -2 -2 0 1 2 -1 -1 -1 -1 -1 -2] [-2 4 -1 2 0 -1 2 1 2 1 2 2 1 1 1 0 0 0 2 1 0 2] [ 1 -1 6 2 -2 -2 0 -2 0 -2 0 1 -2 -2 0 3 -2 1 -1 -3 -3 2] [-1 2 2 6 1 0 0 1 0 1 0 1 -1 1 2 1 -2 -1 2 0 -1 1] [ 0 0 -2 1 4 1 -1 2 -1 2 -1 0 1 2 1 0 1 -2 1 2 0 -1] [ 0 -1 -2 0 1 4 0 1 0 1 0 -2 1 1 -1 -2 1 -1 -1 1 2 -1] [-2 2 0 0 -1 0 4 -1 2 0 2 1 1 0 -1 -1 1 1 0 0 1 2] [ 0 1 -2 1 2 1 -1 4 0 2 0 -1 0 2 1 -1 1 -2 1 2 1 0] [-2 2 0 0 -1 0 2 0 4 -1 2 1 1 0 -1 0 1 1 0 0 0 2] [ 0 1 -2 1 2 1 0 2 -1 4 0 -1 0 2 1 0 1 -2 1 2 0 0] [-2 2 0 0 -1 0 2 0 2 0 4 1 1 -1 -1 -1 1 1 0 0 0 2] [-2 2 1 1 0 -2 1 -1 1 -1 1 6 3 -1 -1 1 -1 2 1 -1 -2 2] [-2 1 -2 -1 1 1 1 0 1 0 1 3 6 0 -2 -1 0 1 1 0 1 1] [ 0 1 -2 1 2 1 0 2 0 2 -1 -1 0 4 1 -1 1 -2 1 2 0 0] [ 1 1 0 2 1 -1 -1 1 -1 1 -1 -1 -2 1 4 1 -1 -1 1 1 -1 0] [ 2 0 3 1 0 -2 -1 -1 0 0 -1 1 -1 -1 1 6 -1 -1 0 -1 -3 0] [-1 0 -2 -2 1 1 1 1 1 1 1 -1 0 1 -1 -1 4 -1 -1 2 1 0] [-1 0 1 -1 -2 -1 1 -2 1 -2 1 2 1 -2 -1 -1 -1 4 0 -2 0 1] [-1 2 -1 2 1 -1 0 1 0 1 0 1 1 1 1 0 -1 0 4 1 0 0] [-1 1 -3 0 2 1 0 2 0 2 0 -1 0 2 1 -1 2 -2 1 4 1 0] [-1 0 -3 -1 0 2 1 1 0 0 0 -2 1 0 -1 -3 1 0 0 1 6 -2] [-2 2 2 1 -1 -1 2 0 2 0 2 2 1 0 0 0 0 1 0 0 -2 6] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 37. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 1 2 1 0 1 1 2 -1 0 0 2 -1 -2 1 -1 -1 1 1] [ 0 4 2 1 2 1 1 -2 -2 -2 -1 -2 0 0 1 1 1 -2 0 -2 -2 0] [ 1 2 4 2 2 0 0 -2 -2 -1 0 -2 0 0 1 0 0 0 -1 -2 -1 1] [ 1 1 2 4 2 0 1 -2 0 0 1 -2 -1 -1 1 -1 1 1 -2 -2 -1 1] [ 1 2 2 2 4 0 1 -1 0 0 0 -2 0 0 0 1 1 0 -2 -2 0 1] [ 2 1 0 0 0 4 0 -1 1 0 0 0 -1 -1 2 -1 0 -1 1 0 -1 1] [ 1 1 0 1 1 0 4 0 1 -1 0 -1 -1 -1 1 -1 0 0 0 -1 1 1] [ 0 -2 -2 -2 -1 -1 0 6 0 1 0 1 2 2 -1 1 -2 1 0 1 3 0] [ 1 -2 -2 0 0 1 1 0 6 1 0 0 -2 -2 1 -2 0 2 0 0 2 0] [ 1 -2 -1 0 0 0 -1 1 1 4 2 1 1 1 0 0 0 1 -1 1 2 1] [ 2 -1 0 1 0 0 0 0 0 2 4 0 1 1 1 0 -1 1 -1 0 0 1] [-1 -2 -2 -2 -2 0 -1 1 0 1 0 4 0 1 -1 0 0 0 1 2 0 0] [ 0 0 0 -1 0 -1 -1 2 -2 1 1 0 4 2 -1 2 -1 -1 -1 0 1 0] [ 0 0 0 -1 0 -1 -1 2 -2 1 1 1 2 4 -1 2 -1 0 -1 0 1 0] [ 2 1 1 1 0 2 1 -1 1 0 1 -1 -1 -1 4 -2 -1 0 1 -1 -1 1] [-1 1 0 -1 1 -1 -1 1 -2 0 0 0 2 2 -2 4 1 -1 -1 0 0 0] [-2 1 0 1 1 0 0 -2 0 0 -1 0 -1 -1 -1 1 4 -1 0 0 -1 1] [ 1 -2 0 1 0 -1 0 1 2 1 1 0 -1 0 0 -1 -1 4 -1 0 2 0] [-1 0 -1 -2 -2 1 0 0 0 -1 -1 1 -1 -1 1 -1 0 -1 4 1 -1 0] [-1 -2 -2 -2 -2 0 -1 1 0 1 0 2 0 0 -1 0 0 0 1 4 1 0] [ 1 -2 -1 -1 0 -1 1 3 2 2 0 0 1 1 -1 0 -1 2 -1 1 6 0] [ 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 38. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 -1 -1 0 0 1 0 1 1 0 0 -1 1 2 1 0 2 -1 -1] [ 2 4 0 1 -1 -1 1 -1 0 -1 0 0 -1 1 0 0 2 0 -1 2 -1 -1] [ 0 0 4 2 -1 1 2 2 0 2 0 0 2 2 -2 0 -1 2 2 1 -2 -1] [-1 1 2 6 1 2 2 2 -2 2 -2 -1 2 2 0 0 0 1 2 0 -3 -2] [-1 -1 -1 1 4 2 0 0 0 0 0 1 0 0 2 1 1 0 0 0 1 1] [-1 -1 1 2 2 4 1 1 0 1 0 1 1 1 1 1 -1 1 1 -1 0 -1] [ 0 1 2 2 0 1 4 0 1 0 1 1 0 1 -1 0 1 2 0 1 -1 0] [ 0 -1 2 2 0 1 0 4 0 2 -1 0 2 1 -1 1 -1 1 2 0 -2 -1] [ 1 0 0 -2 0 0 1 0 4 -1 2 1 -1 0 -1 0 1 1 -1 1 0 1] [ 0 -1 2 2 0 1 0 2 -1 4 0 0 2 1 -1 0 -1 1 2 0 -1 -1] [ 1 0 0 -2 0 0 1 -1 2 0 4 1 -1 0 -1 1 1 1 -1 1 2 1] [ 1 0 0 -1 1 1 1 0 1 0 1 4 0 -1 1 1 1 0 0 0 1 1] [ 0 -1 2 2 0 1 0 2 -1 2 -1 0 4 0 -1 1 -1 1 2 0 -2 -1] [ 0 1 2 2 0 1 1 1 0 1 0 -1 0 4 -1 -1 0 1 1 1 -2 -1] [-1 0 -2 0 2 1 -1 -1 -1 -1 -1 1 -1 -1 4 0 0 -1 -1 -1 1 1] [ 1 0 0 0 1 1 0 1 0 0 1 1 1 -1 0 4 1 0 0 1 1 -1] [ 2 2 -1 0 1 -1 1 -1 1 -1 1 1 -1 0 0 1 4 0 -1 2 0 0] [ 1 0 2 1 0 1 2 1 1 1 1 0 1 1 -1 0 0 4 1 1 -1 0] [ 0 -1 2 2 0 1 0 2 -1 2 -1 0 2 1 -1 0 -1 1 4 0 -2 -1] [ 2 2 1 0 0 -1 1 0 1 0 1 0 0 1 -1 1 2 1 0 4 -1 0] [-1 -1 -2 -3 1 0 -1 -2 0 -1 2 1 -2 -2 1 1 0 -1 -2 -1 6 1] [-1 -1 -1 -2 1 -1 0 -1 1 -1 1 1 -1 -1 1 -1 0 0 -1 0 1 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 39. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -2 1 -2 -1 0 -1 -2 0 1 0 2 -1 -1 2 -1 -2 -2 1] [ 1 4 -2 0 -1 2 -1 0 0 1 -1 -1 -1 0 0 -2 1 0 -1 1 -1 0] [-1 -2 4 0 2 -1 1 1 -1 -1 1 1 0 1 1 0 -1 -1 0 -1 1 0] [ 2 0 0 4 -2 0 0 -1 -1 -2 -2 0 0 0 2 0 0 0 -1 0 -2 0] [-2 -1 2 -2 4 -1 1 2 -1 1 2 1 0 1 -1 0 -1 0 0 -1 2 0] [ 1 2 -1 0 -1 4 -2 -1 1 -1 -2 0 -1 -1 -1 0 -1 0 -1 0 -2 1] [-2 -1 1 0 1 -2 4 0 0 0 2 1 0 0 0 0 2 -2 0 1 2 -2] [-1 0 1 -1 2 -1 0 4 -2 0 0 -1 1 2 1 -1 0 0 -1 -1 0 1] [ 0 0 -1 -1 -1 1 0 -2 4 1 1 1 -1 -2 -2 1 0 0 0 1 1 -1] [-1 1 -1 -2 1 -1 0 0 1 6 3 -1 0 1 -3 -1 0 0 2 2 3 0] [-2 -1 1 -2 2 -2 2 0 1 3 6 0 -1 1 -3 0 1 0 2 2 3 -2] [ 0 -1 1 0 1 0 1 -1 1 -1 0 4 -1 -2 0 1 -1 0 -1 -2 0 -1] [ 1 -1 0 0 0 -1 0 1 -1 0 -1 -1 4 1 2 -1 0 1 0 -1 1 2] [ 0 0 1 0 1 -1 0 2 -2 1 1 -2 1 4 0 -1 0 0 0 0 1 1] [ 2 0 1 2 -1 -1 0 1 -2 -3 -3 0 2 0 6 -2 0 0 -1 -2 -2 1] [-1 -2 0 0 0 0 0 -1 1 -1 0 1 -1 -1 -2 4 0 0 0 0 0 0] [-1 1 -1 0 -1 -1 2 0 0 0 1 -1 0 0 0 0 4 -1 0 2 1 -1] [ 2 0 -1 0 0 0 -2 0 0 0 0 0 1 0 0 0 -1 4 0 -1 0 1] [-1 -1 0 -1 0 -1 0 -1 0 2 2 -1 0 0 -1 0 0 0 4 1 1 0] [-2 1 -1 0 -1 0 1 -1 1 2 2 -2 -1 0 -2 0 2 -1 1 6 2 -1] [-2 -1 1 -2 2 -2 2 0 1 3 3 0 1 1 -2 0 1 0 1 2 6 -1] [ 1 0 0 0 0 1 -2 1 -1 0 -2 -1 2 1 1 0 -1 1 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 40. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 0 -1 2 -1 1 -2 0 -1 -1 -2 -2 1 0 -1 0 -1 0] [-2 6 2 2 -2 -2 -1 0 -1 -2 2 -1 -1 -1 1 3 1 1 1 -1 2 2] [ 0 2 4 0 0 0 -1 0 -2 -2 -1 0 0 0 -1 1 -1 0 1 0 2 2] [ 0 2 0 4 -1 -2 0 1 0 -1 1 -1 0 0 1 2 1 1 0 -1 1 1] [ 1 -2 0 -1 4 0 1 1 -1 0 -2 -1 1 1 -1 -2 -2 1 1 -1 -2 0] [ 0 -2 0 -2 0 4 1 0 1 0 0 0 0 0 0 -2 -1 0 0 0 -1 0] [-1 -1 -1 0 1 1 4 1 0 -1 1 -1 2 2 2 -1 -2 1 1 -1 -2 0] [ 2 0 0 1 1 0 1 4 -1 0 -1 -2 0 0 0 -2 0 2 1 -2 -2 1] [-1 -1 -2 0 -1 1 0 -1 4 1 2 0 0 0 1 1 1 0 0 0 -1 -2] [ 1 -2 -2 -1 0 0 -1 0 1 4 0 1 0 0 0 -1 1 -1 -1 1 0 -1] [-2 2 -1 1 -2 0 1 -1 2 0 6 1 1 1 3 1 0 -1 -1 1 0 -1] [ 0 -1 0 -1 -1 0 -1 -2 0 1 1 4 0 1 0 0 0 -2 -2 2 1 -1] [-1 -1 0 0 1 0 2 0 0 0 1 0 4 2 1 0 -2 -1 0 0 0 0] [-1 -1 0 0 1 0 2 0 0 0 1 1 2 4 1 0 -2 0 0 0 0 0] [-2 1 -1 1 -1 0 2 0 1 0 3 0 1 1 4 0 -1 0 1 0 -1 0] [-2 3 1 2 -2 -2 -1 -2 1 -1 1 0 0 0 0 6 2 0 0 0 3 1] [ 1 1 -1 1 -2 -1 -2 0 1 1 0 0 -2 -2 -1 2 4 0 -1 0 1 0] [ 0 1 0 1 1 0 1 2 0 -1 -1 -2 -1 0 0 0 0 4 2 -2 -1 1] [-1 1 1 0 1 0 1 1 0 -1 -1 -2 0 0 1 0 -1 2 4 -2 -1 1] [ 0 -1 0 -1 -1 0 -1 -2 0 1 1 2 0 0 0 0 0 -2 -2 4 2 -1] [-1 2 2 1 -2 -1 -2 -2 -1 0 0 1 0 0 -1 3 1 -1 -1 2 6 1] [ 0 2 2 1 0 0 0 1 -2 -1 -1 -1 0 0 0 1 0 1 1 -1 1 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 41. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 -1 -2 1 0 1 -2 -1 0 0 1 0 -1 2 2 1 -1 1 2] [ 0 4 2 1 0 0 2 0 -1 0 0 -1 0 -2 2 1 0 0 0 0 0 1] [-1 2 4 0 0 0 0 -1 -1 1 0 0 -1 -2 1 1 0 0 1 0 -1 1] [ 0 1 0 4 1 0 0 1 0 -1 1 1 2 0 1 0 0 -1 0 1 1 0] [-1 0 0 1 4 -1 0 2 1 1 2 2 2 -1 1 -1 0 -2 -1 2 1 0] [-2 0 0 0 -1 4 0 -1 -2 0 0 -1 0 0 0 2 -2 -1 0 0 0 -2] [ 1 2 0 0 0 0 4 1 0 -1 0 -1 1 -1 1 0 0 0 -1 0 1 0] [ 0 0 -1 1 2 -1 1 4 0 -1 0 2 1 0 1 0 0 0 -1 0 0 0] [ 1 -1 -1 0 1 -2 0 0 4 0 0 0 1 0 -1 -1 0 0 -1 0 1 0] [-2 0 1 -1 1 0 -1 -1 0 4 1 0 0 0 -1 0 0 -1 -1 1 -1 0] [-1 0 0 1 2 0 0 0 0 1 4 0 2 -1 1 -1 1 -2 -1 2 1 0] [ 0 -1 0 1 2 -1 -1 2 0 0 0 4 0 1 0 0 0 0 1 0 0 0] [ 0 0 -1 2 2 0 1 1 1 0 2 0 4 0 0 -1 0 -2 -2 2 2 0] [ 1 -2 -2 0 -1 0 -1 0 0 0 -1 1 0 4 -2 0 0 1 0 -1 0 0] [ 0 2 1 1 1 0 1 1 -1 -1 1 0 0 -2 4 1 0 -1 1 1 1 1] [-1 1 1 0 -1 2 0 0 -1 0 -1 0 -1 0 1 4 -2 0 1 -1 0 0] [ 2 0 0 0 0 -2 0 0 0 0 1 0 0 0 0 -2 4 1 0 0 0 2] [ 2 0 0 -1 -2 -1 0 0 0 -1 -2 0 -2 1 -1 0 1 4 1 -2 -1 1] [ 1 0 1 0 -1 0 -1 -1 -1 -1 -1 1 -2 0 1 1 0 1 4 -1 0 1] [-1 0 0 1 2 0 0 0 0 1 2 0 2 -1 1 -1 0 -2 -1 4 2 0] [ 1 0 -1 1 1 0 1 0 1 -1 1 0 2 0 1 0 0 -1 0 2 4 0] [ 2 1 1 0 0 -2 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 42. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 -2 -1 -1 0 1 -2 -2 -1 1 -2 2 1 -1 -2 1 -2 -2 2] [ 1 4 2 1 0 0 -2 1 2 -1 0 -2 -1 0 -1 2 -1 -2 2 1 -2 0] [ 1 2 4 0 -1 1 -2 0 2 -1 0 -2 0 -1 -1 2 -2 0 2 1 0 -1] [-1 1 0 4 1 1 -1 0 1 1 -1 -1 -2 1 0 1 -1 1 1 2 1 1] [-2 0 -1 1 4 0 1 -1 -1 2 1 1 0 1 0 -1 0 1 -1 1 1 -2] [-1 0 1 1 0 4 -1 -1 0 0 0 -1 -2 1 0 0 -1 2 0 2 2 -2] [-1 -2 -2 -1 1 -1 4 -1 -2 1 1 1 1 0 1 -2 1 0 -2 -1 0 0] [ 0 1 0 0 -1 -1 -1 4 0 0 -1 -1 1 1 -2 0 1 -2 0 0 -2 1] [ 1 2 2 1 -1 0 -2 0 4 0 0 -1 -1 0 0 2 -1 -1 2 1 0 1] [-2 -1 -1 1 2 0 1 0 0 4 1 0 0 1 -1 -1 0 0 -1 1 2 0] [-2 0 0 -1 1 0 1 -1 0 1 4 1 -1 1 -2 0 1 1 0 1 1 -2] [-1 -2 -2 -1 1 -1 1 -1 -1 0 1 4 0 1 1 -1 2 1 -1 -1 1 -1] [ 1 -1 0 -2 0 -2 1 1 -1 0 -1 0 4 -1 0 -1 0 -1 -1 -2 -1 0] [-2 0 -1 1 1 1 0 1 0 1 1 1 -1 4 -1 0 1 1 0 1 1 -1] [ 2 -1 -1 0 0 0 1 -2 0 -1 -2 1 0 -1 6 0 -1 -1 0 -1 -1 2] [ 1 2 2 1 -1 0 -2 0 2 -1 0 -1 -1 0 0 4 -2 0 2 1 0 1] [-1 -1 -2 -1 0 -1 1 1 -1 0 1 2 0 1 -1 -2 4 0 -1 -1 0 0] [-2 -2 0 1 1 2 0 -2 -1 0 1 1 -1 1 -1 0 0 6 0 1 4 -2] [ 1 2 2 1 -1 0 -2 0 2 -1 0 -1 -1 0 0 2 -1 0 4 1 -1 1] [-2 1 1 2 1 2 -1 0 1 1 1 -1 -2 1 -1 1 -1 1 1 4 1 -1] [-2 -2 0 1 1 2 0 -2 0 2 1 1 -1 1 -1 0 0 4 -1 1 6 -2] [ 2 0 -1 1 -2 -2 0 1 1 0 -2 -1 0 -1 2 1 0 -2 1 -1 -2 6] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 43. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 -2 0 0 -1 -1 2 1 0 1 0 0 1 2 -2 1 1 -2 -1 1] [-2 4 -1 1 0 0 2 -1 -1 1 0 1 0 0 -2 -1 1 1 -2 1 2 -2] [-1 -1 4 2 1 -1 -1 1 0 -1 0 -1 0 0 -1 -1 1 -1 -1 -1 1 -1] [-2 1 2 6 2 1 1 -1 -2 1 -2 1 2 -2 0 -3 3 1 -1 -1 3 0] [ 0 0 1 2 4 0 1 -1 0 1 0 1 0 0 1 -2 1 1 0 -2 0 1] [ 0 0 -1 1 0 4 -1 -2 0 0 0 0 2 0 0 0 1 0 -1 1 0 0] [-1 2 -1 1 1 -1 4 0 -1 1 0 1 -1 0 1 -1 0 1 1 -1 1 1] [-1 -1 1 -1 -1 -2 0 4 -1 -2 1 -2 -1 1 1 0 0 -2 2 0 -1 1] [ 2 -1 0 -2 0 0 -1 -1 4 1 1 1 0 1 -1 2 -1 1 -1 0 -1 -1] [ 1 1 -1 1 1 0 1 -2 1 4 0 2 1 -1 0 0 0 2 -1 -1 1 0] [ 0 0 0 -2 0 0 0 1 1 0 4 -1 -1 2 -1 1 -1 -1 -1 1 -1 -1] [ 1 1 -1 1 1 0 1 -2 1 2 -1 4 1 0 -1 0 0 2 -1 -1 1 0] [ 0 0 0 2 0 2 -1 -1 0 1 -1 1 4 -1 0 -1 2 1 -1 0 1 0] [ 0 0 0 -2 0 0 0 1 1 -1 2 0 -1 4 0 1 -1 -1 -1 1 -1 -1] [ 1 -2 -1 0 1 0 1 1 -1 0 -1 -1 0 0 6 -1 0 0 4 -2 -2 4] [ 2 -1 -1 -3 -2 0 -1 0 2 0 1 0 -1 1 -1 4 -2 0 0 1 -1 -1] [-2 1 1 3 1 1 0 0 -1 0 -1 0 2 -1 0 -2 4 0 -1 0 1 0] [ 1 1 -1 1 1 0 1 -2 1 2 -1 2 1 -1 0 0 0 4 -1 0 1 0] [ 1 -2 -1 -1 0 -1 1 2 -1 -1 -1 -1 -1 -1 4 0 -1 -1 6 -2 -2 4] [-2 1 -1 -1 -2 1 -1 0 0 -1 1 -1 0 1 -2 1 0 0 -2 6 0 -2] [-1 2 1 3 0 0 1 -1 -1 1 -1 1 1 -1 -2 -1 1 1 -2 0 4 -2] [ 1 -2 -1 0 1 0 1 1 -1 0 -1 0 0 -1 4 -1 0 0 4 -2 -2 6] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 44. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 0 -1 0 1 -1 -2 2 1 -1 1 1 -1 0 2 2 -2 -1 0] [-2 4 2 1 1 -1 0 -1 0 2 -2 -1 0 -1 0 0 -1 -2 -2 2 0 1] [-2 2 4 1 1 0 -1 0 -1 2 -2 -1 1 -1 -1 1 -1 -2 0 2 0 1] [ 1 1 1 4 0 -2 -1 -1 -2 1 1 -1 -1 -1 1 1 -2 -1 1 1 -1 1] [ 0 1 1 0 4 1 -1 1 0 1 0 1 1 1 -1 1 0 -1 1 1 1 2] [-1 -1 0 -2 1 4 -1 0 1 0 -1 0 2 0 -2 1 2 0 1 0 2 1] [ 0 0 -1 -1 -1 -1 4 0 0 -1 -1 0 -1 0 1 0 -1 1 -2 -1 -1 0] [ 1 -1 0 -1 1 0 0 4 0 -1 1 2 -1 2 1 0 1 1 2 -1 0 0] [-1 0 -1 -2 0 1 0 0 4 -1 0 0 1 0 -1 -1 2 1 0 -1 1 -1] [-2 2 2 1 1 0 -1 -1 -1 4 -1 -1 1 0 0 1 -1 -2 -1 2 0 1] [ 2 -2 -2 1 0 -1 -1 1 0 -1 6 0 -1 0 1 0 -1 1 2 -1 1 -1] [ 1 -1 -1 -1 1 0 0 2 0 -1 0 4 -1 2 0 0 1 0 0 -1 0 0] [-1 0 1 -1 1 2 -1 -1 1 1 -1 -1 4 -1 -1 0 1 -1 1 1 1 1] [ 1 -1 -1 -1 1 0 0 2 0 0 0 2 -1 4 0 0 1 1 0 -1 0 0] [ 1 0 -1 1 -1 -2 1 1 -1 0 1 0 -1 0 4 -1 -1 0 1 0 -2 0] [-1 0 1 1 1 1 0 0 -1 1 0 0 0 0 -1 4 0 -1 0 1 1 2] [ 0 -1 -1 -2 0 2 -1 1 2 -1 -1 1 1 1 -1 0 4 1 1 -1 1 0] [ 2 -2 -2 -1 -1 0 1 1 1 -2 1 0 -1 1 0 -1 1 4 1 -2 0 -1] [ 2 -2 0 1 1 1 -2 2 0 -1 2 0 1 0 1 0 1 1 6 -1 0 1] [-2 2 2 1 1 0 -1 -1 -1 2 -1 -1 1 -1 0 1 -1 -2 -1 4 1 1] [-1 0 0 -1 1 2 -1 0 1 0 1 0 1 0 -2 1 1 0 0 1 4 0] [ 0 1 1 1 2 1 0 0 -1 1 -1 0 1 0 0 2 0 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 45. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 1 -2 1 -2 -1 -1 -2 1 0 -2 -2 -1 2 -2 -1 2 0 0] [ 1 4 1 -1 0 1 1 -2 -2 0 1 1 0 1 -2 -2 0 -2 -2 2 0 1] [ 2 1 4 0 0 -2 2 -1 -1 1 -2 2 0 0 -1 -2 1 0 0 0 0 -1] [ 2 -1 0 4 0 -2 0 0 1 -1 -1 0 1 -1 0 1 1 -1 0 1 -1 -1] [ 1 0 0 0 4 0 0 0 1 0 1 0 0 -1 0 0 2 0 1 0 0 0] [-2 1 -2 -2 0 6 -2 1 -1 -1 2 -2 -2 1 1 -1 0 -1 0 1 2 1] [ 1 1 2 0 0 -2 4 0 0 0 -1 2 0 1 -1 0 0 -1 -1 1 0 0] [-2 -2 -1 0 0 1 0 4 1 0 1 -1 0 1 2 1 -1 1 1 -1 0 -1] [-1 -2 -1 1 1 -1 0 1 4 1 1 0 0 0 1 2 1 2 2 -2 0 0] [-1 0 1 -1 0 -1 0 0 1 4 0 0 1 1 0 -1 0 1 2 -1 -1 -1] [-2 1 -2 -1 1 2 -1 1 1 0 6 0 -1 1 0 1 0 0 0 0 1 2] [ 1 1 2 0 0 -2 2 -1 0 0 0 4 -1 1 -1 0 0 1 -1 -1 0 0] [ 0 0 0 1 0 -2 0 0 0 1 -1 -1 4 0 0 0 -1 0 0 0 -2 -1] [-2 1 0 -1 -1 1 1 1 0 1 1 1 0 4 1 0 -2 1 0 -1 0 -1] [-2 -2 -1 0 0 1 -1 2 1 0 0 -1 0 1 4 1 -1 1 1 -2 0 -1] [-1 -2 -2 1 0 -1 0 1 2 -1 1 0 0 0 1 4 0 1 0 -1 0 1] [ 2 0 1 1 2 0 0 -1 1 0 0 0 -1 -2 -1 0 4 -1 1 1 1 1] [-2 -2 0 -1 0 -1 -1 1 2 1 0 1 0 1 1 1 -1 6 2 -4 0 -1] [-1 -2 0 0 1 0 -1 1 2 2 0 -1 0 0 1 0 1 2 4 -2 0 -1] [ 2 2 0 1 0 1 1 -1 -2 -1 0 -1 0 -1 -2 -1 1 -4 -2 6 1 1] [ 0 0 0 -1 0 2 0 0 0 -1 1 0 -2 0 0 0 1 0 0 1 4 1] [ 0 1 -1 -1 0 1 0 -1 0 -1 2 0 -1 -1 -1 1 1 -1 -1 1 1 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 46. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -1 0 2 -2 -1 -2 -1 1 1 2 0 2 -1 0 -2 -2 -1] [-2 4 1 1 -1 1 -1 0 2 1 2 0 0 -1 -2 1 -2 0 1 2 1 0] [ 0 1 4 0 1 -1 -2 0 0 0 0 1 1 0 0 2 -2 0 -1 0 0 1] [ 0 1 0 4 -1 2 0 -1 1 2 1 1 1 1 1 -1 -2 -2 1 1 0 -1] [ 1 -1 1 -1 4 0 -1 -1 0 0 0 1 1 0 2 0 2 1 -1 0 1 -1] [-1 1 -1 2 0 4 0 -2 1 2 1 1 0 1 1 -1 -1 0 1 1 2 -1] [ 0 -1 -2 0 -1 0 4 -1 0 0 0 -1 -1 0 -1 -2 0 1 1 0 0 -1] [ 2 0 0 -1 -1 -2 -1 6 -2 -1 -2 -2 1 1 -1 1 0 0 1 -2 -1 1] [-2 2 0 1 0 1 0 -2 4 2 2 0 -1 -1 0 0 -1 0 1 2 2 0] [-1 1 0 2 0 2 0 -1 2 4 1 0 1 1 0 0 -2 0 2 1 1 0] [-2 2 0 1 0 1 0 -2 2 1 4 0 0 -2 0 0 -1 0 0 2 1 0] [-1 0 1 1 1 1 -1 -2 0 0 0 4 1 0 0 -1 0 0 -1 0 0 -1] [ 1 0 1 1 1 0 -1 1 -1 1 0 1 4 0 1 0 0 -1 1 0 -1 0] [ 1 -1 0 1 0 1 0 1 -1 1 -2 0 0 4 0 0 -1 0 0 -1 1 0] [ 2 -2 0 1 2 1 -1 -1 0 0 0 0 1 0 6 -1 1 -2 0 0 0 0] [ 0 1 2 -1 0 -1 -2 1 0 0 0 -1 0 0 -1 4 0 0 -1 0 0 2] [ 2 -2 -2 -2 2 -1 0 0 -1 -2 -1 0 0 -1 1 0 6 0 -1 -1 -1 -1] [-1 0 0 -2 1 0 1 0 0 0 0 0 -1 0 -2 0 0 4 0 0 2 0] [ 0 1 -1 1 -1 1 1 1 1 2 0 -1 1 0 0 -1 -1 0 4 0 0 0] [-2 2 0 1 0 1 0 -2 2 1 2 0 0 -1 0 0 -1 0 0 4 2 0] [-2 1 0 0 1 2 0 -1 2 1 1 0 -1 1 0 0 -1 2 0 2 6 0] [-1 0 1 -1 -1 -1 -1 1 0 0 0 -1 0 0 0 2 -1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 47. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 -2 -1 0 -2 -1 -1 2 2 2 2 -1 0 -1 1 -2 1 -2 -2 1] [-2 4 1 0 0 0 1 1 1 0 0 -2 -1 1 -1 1 -1 1 0 1 1 1] [ 1 1 6 -2 -1 2 1 -2 -2 -1 -1 0 1 1 0 -2 2 2 -1 -3 -1 3] [-2 0 -2 6 1 1 2 2 0 -2 -3 -1 -2 -1 -1 1 1 1 1 1 2 -2] [-1 0 -1 1 4 1 1 -1 2 0 -1 0 0 -1 1 1 1 2 0 -1 0 -1] [ 0 0 2 1 1 4 0 -1 0 -2 -2 0 1 -1 1 -1 2 2 -1 -2 -1 0] [-2 1 1 2 1 0 4 0 0 -2 -2 -1 -2 0 -1 1 0 2 0 0 2 0] [-1 1 -2 2 -1 -1 0 4 0 1 1 -1 -2 1 -2 0 -1 -1 0 2 2 -1] [-1 1 -2 0 2 0 0 0 4 1 1 0 0 0 1 1 -1 0 0 1 0 -1] [ 2 0 -1 -2 0 -2 -2 1 1 6 4 0 1 1 -1 -1 0 -3 0 1 -1 0] [ 2 0 -1 -3 -1 -2 -2 1 1 4 6 0 1 1 -1 -1 -1 -2 1 0 -1 0] [ 2 -2 0 -1 0 0 -1 -1 0 0 0 4 0 0 1 0 0 0 0 -2 -1 0] [ 2 -1 1 -2 0 1 -2 -2 0 1 1 0 4 -1 1 -1 1 -1 0 -1 -2 1] [-1 1 1 -1 -1 -1 0 1 0 1 1 0 -1 4 0 -1 -1 1 -1 0 1 0] [ 0 -1 0 -1 1 1 -1 -2 1 -1 -1 1 1 0 4 0 0 0 -1 -1 -1 0] [-1 1 -2 1 1 -1 1 0 1 -1 -1 0 -1 -1 0 4 -1 0 1 1 1 0] [ 1 -1 2 1 1 2 0 -1 -1 0 -1 0 1 -1 0 -1 4 1 0 -2 -1 1] [-2 1 2 1 2 2 2 -1 0 -3 -2 0 -1 1 0 0 1 6 0 -2 1 0] [ 1 0 -1 1 0 -1 0 0 0 0 1 0 0 -1 -1 1 0 0 4 -1 0 0] [-2 1 -3 1 -1 -2 0 2 1 1 0 -2 -1 0 -1 1 -2 -2 -1 6 2 -1] [-2 1 -1 2 0 -1 2 2 0 -1 -1 -1 -2 1 -1 1 -1 1 0 2 4 -1] [ 1 1 3 -2 -1 0 0 -1 -1 0 0 0 1 0 0 0 1 0 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 48. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 0 1 -2 -1 2 0 0 -2 0 2 0 -1 2 0 2 0 0 0] [ 2 4 -1 -1 0 1 -1 1 2 1 0 -1 0 1 0 0 1 0 2 0 0 0] [-2 -1 6 -3 -2 -2 1 3 1 1 -2 1 2 -1 -2 -1 -1 2 -3 -2 2 -1] [ 1 -1 -3 6 1 1 1 -3 -2 -2 1 -2 -1 -1 1 2 -1 -1 0 1 -1 -1] [ 0 0 -2 1 4 -1 -1 -1 0 1 2 0 -1 0 1 1 -1 -2 1 2 -2 0] [ 1 1 -2 1 -1 4 -1 -1 -1 -1 0 -1 -1 0 1 1 1 0 0 0 1 1] [-2 -1 1 1 -1 -1 4 0 -2 -1 0 0 1 -2 -1 1 -1 0 -1 0 0 0] [-1 1 3 -3 -1 -1 0 4 1 1 -1 1 1 0 -1 0 -1 1 0 -1 1 -1] [ 2 2 1 -2 0 -1 -2 1 6 2 -2 -1 2 1 -2 -2 2 2 0 -2 1 1] [ 0 1 1 -2 1 -1 -1 1 2 4 -1 0 1 0 -1 -1 1 1 1 -1 0 0] [ 0 0 -2 1 2 0 0 -1 -2 -1 4 0 -1 1 2 1 -1 -2 1 2 -2 0] [-2 -1 1 -2 0 -1 0 1 -1 0 0 4 -1 0 0 0 -1 -1 -1 0 0 0] [ 0 0 2 -1 -1 -1 1 1 2 1 -1 -1 4 -1 -1 -1 1 1 0 -1 1 1] [ 2 1 -1 -1 0 0 -2 0 1 0 1 0 -1 4 0 -1 1 0 1 0 0 0] [ 0 0 -2 1 1 1 -1 -1 -2 -1 2 0 -1 0 4 0 -1 -2 2 2 -2 0] [-1 0 -1 2 1 1 1 0 -2 -1 1 0 -1 -1 0 4 -1 -1 -1 1 0 0] [ 2 1 -1 -1 -1 1 -1 -1 2 1 -1 -1 1 1 -1 -1 4 1 1 -1 1 2] [ 0 0 2 -1 -2 0 0 1 2 1 -2 -1 1 0 -2 -1 1 4 -1 -2 2 0] [ 2 2 -3 0 1 0 -1 0 0 1 1 -1 0 1 2 -1 1 -1 6 1 -2 0] [ 0 0 -2 1 2 0 0 -1 -2 -1 2 0 -1 0 2 1 -1 -2 1 4 -1 0] [ 0 0 2 -1 -2 1 0 1 1 0 -2 0 1 0 -2 0 1 2 -2 -1 4 0] [ 0 0 -1 -1 0 1 0 -1 1 0 0 0 1 0 0 0 2 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 49. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 -1 -1 -1 0 1 1 2 -1 2 -2 -1 0 -1 -1 1 -2 1] [ 1 4 -2 -2 1 1 1 0 1 2 2 -1 -1 2 0 0 -1 -2 -2 2 1 -1] [-1 -2 4 2 0 -1 1 1 -1 0 -2 0 0 0 0 -1 -1 2 1 -2 0 -1] [-1 -2 2 4 -1 0 -1 1 0 0 -2 0 1 0 0 1 -1 2 1 -2 0 0] [ 2 1 0 -1 4 0 0 -1 1 1 0 1 -1 1 -2 0 -1 0 0 0 -1 0] [-1 1 -1 0 0 4 -1 1 2 0 0 -1 -1 -1 1 1 1 0 1 0 1 0] [-1 1 1 -1 0 -1 4 1 -1 0 0 -1 0 0 1 0 -1 0 -1 0 1 -2] [-1 0 1 1 -1 1 1 4 1 0 -1 -2 1 -1 2 1 -1 1 1 -1 2 -2] [ 0 1 -1 0 1 2 -1 1 4 0 0 -1 -1 0 0 1 -1 0 0 0 1 0] [ 1 2 0 0 1 0 0 0 0 4 0 0 0 2 -1 -1 -1 0 0 0 0 -1] [ 1 2 -2 -2 0 0 0 -1 0 0 4 -1 0 0 0 0 0 -2 -2 2 0 0] [ 2 -1 0 0 1 -1 -1 -2 -1 0 -1 4 -1 1 -2 -1 1 0 0 0 -2 2] [-1 -1 0 1 -1 -1 0 1 -1 0 0 -1 4 -2 1 1 -1 0 1 0 1 -1] [ 2 2 0 0 1 -1 0 -1 0 2 0 1 -2 6 -2 -2 -1 0 -2 0 -1 1] [-2 0 0 0 -2 1 1 2 0 -1 0 -2 1 -2 4 1 0 -1 0 0 2 -1] [-1 0 -1 1 0 1 0 1 1 -1 0 -1 1 -2 1 4 0 0 0 0 1 0] [ 0 -1 -1 -1 -1 1 -1 -1 -1 -1 0 1 -1 -1 0 0 4 0 1 0 -1 2] [-1 -2 2 2 0 0 0 1 0 0 -2 0 0 0 -1 0 0 4 2 -2 0 0] [-1 -2 1 1 0 1 -1 1 0 0 -2 0 1 -2 0 0 1 2 4 -2 0 0] [ 1 2 -2 -2 0 0 0 -1 0 0 2 0 0 0 0 0 0 -2 -2 4 1 0] [-2 1 0 0 -1 1 1 2 1 0 0 -2 1 -1 2 1 -1 0 0 1 4 -2] [ 1 -1 -1 0 0 0 -2 -2 0 -1 0 2 -1 1 -1 0 2 0 0 0 -2 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 50. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 -2 -1 1 -1 0 1 1 -1 0 -1 0 1 -2 1 0 1 0 -1] [-2 4 1 -1 0 1 1 2 -1 0 1 2 0 2 0 -1 2 1 1 1 1 2] [-2 1 4 -1 2 -1 0 1 1 1 0 1 1 1 -1 -1 2 -1 0 0 0 1] [ 2 -1 -1 4 -1 0 1 0 0 1 1 0 1 0 -1 1 -2 0 1 1 1 0] [-2 0 2 -1 4 -1 0 0 1 0 0 0 0 0 0 0 2 -2 -1 0 -1 1] [-1 1 -1 0 -1 4 0 1 -1 -1 0 1 -1 1 1 -1 0 0 1 0 0 1] [ 1 1 0 1 0 0 4 1 -1 0 2 0 1 0 -1 -1 0 0 1 2 1 1] [-1 2 1 0 0 1 1 4 0 0 0 2 -1 2 1 -2 1 1 2 0 0 2] [ 0 -1 1 0 1 -1 -1 0 4 1 0 -1 0 -1 0 -1 0 -1 0 0 -2 -1] [ 1 0 1 1 0 -1 0 0 1 4 0 0 1 0 -1 0 1 1 1 0 0 0] [ 1 1 0 1 0 0 2 0 0 0 4 0 1 1 0 0 0 0 0 2 0 1] [-1 2 1 0 0 1 0 2 -1 0 0 4 -1 2 0 0 1 0 0 0 1 2] [ 0 0 1 1 0 -1 1 -1 0 1 1 -1 4 -1 -1 0 0 -1 1 1 1 0] [-1 2 1 0 0 1 0 2 -1 0 1 2 -1 4 0 0 1 1 0 0 1 2] [ 0 0 -1 -1 0 1 -1 1 0 -1 0 0 -1 0 4 -1 0 0 1 0 -2 1] [ 1 -1 -1 1 0 -1 -1 -2 -1 0 0 0 0 0 -1 4 0 0 -2 0 1 0] [-2 2 2 -2 2 0 0 1 0 1 0 1 0 1 0 0 4 0 0 0 0 2] [ 1 1 -1 0 -2 0 0 1 -1 1 0 0 -1 1 0 0 0 4 1 0 1 0] [ 0 1 0 1 -1 1 1 2 0 1 0 0 1 0 1 -2 0 1 4 0 0 1] [ 1 1 0 1 0 0 2 0 0 0 2 0 1 0 0 0 0 0 0 4 1 1] [ 0 1 0 1 -1 0 1 0 -2 0 0 1 1 1 -2 1 0 1 0 1 4 0] [-1 2 1 0 1 1 1 2 -1 0 1 2 0 2 1 0 2 0 1 1 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 51. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 1 1 -1 -1 1 2 1 -2 -2 1 -1 0 0 1 -1 2 1 0] [-1 4 0 0 -2 0 2 0 -1 0 -1 2 2 0 1 -1 -1 1 -1 0 -2 1] [-2 0 4 -2 1 -1 0 2 -1 -2 0 2 2 -1 0 -1 1 -2 0 -2 0 1] [ 2 0 -2 4 1 2 0 -2 0 2 0 -2 -1 1 -1 0 -1 2 -1 2 -1 0] [ 1 -2 1 1 6 2 -2 -1 -1 1 2 -2 -2 2 -3 -2 -1 1 -2 1 2 -1] [ 1 0 -1 2 2 4 0 -1 0 1 0 -1 -2 2 -2 0 -2 1 -2 1 1 0] [-1 2 0 0 -2 0 4 -1 1 0 0 1 0 0 1 1 -1 0 1 0 -2 1] [-1 0 2 -2 -1 -1 -1 4 0 -2 0 1 2 -1 1 0 1 -2 0 -2 0 1] [ 1 -1 -1 0 -1 0 1 0 4 0 0 0 -1 0 0 2 1 -1 1 0 1 0] [ 2 0 -2 2 1 1 0 -2 0 4 0 -2 -2 2 -1 0 -1 2 -1 2 -1 0] [ 1 -1 0 0 2 0 0 0 0 0 4 -2 -2 0 0 -1 0 1 0 0 1 -1] [-2 2 2 -2 -2 -1 1 1 0 -2 -2 6 2 -1 2 0 0 -2 0 -2 0 2] [-2 2 2 -1 -2 -2 0 2 -1 -2 -2 2 6 -1 1 -1 1 -1 0 -2 -1 0] [ 1 0 -1 1 2 2 0 -1 0 2 0 -1 -1 4 -2 0 -2 1 -2 1 1 0] [-1 1 0 -1 -3 -2 1 1 0 -1 0 2 1 -2 4 0 0 -1 2 -1 -2 1] [ 0 -1 -1 0 -2 0 1 0 2 0 -1 0 -1 0 0 4 1 -1 1 0 0 1] [ 0 -1 1 -1 -1 -2 -1 1 1 -1 0 0 1 -2 0 1 4 -1 1 -1 1 0] [ 1 1 -2 2 1 1 0 -2 -1 2 1 -2 -1 1 -1 -1 -1 4 -1 2 0 -1] [-1 -1 0 -1 -2 -2 1 0 1 -1 0 0 0 -2 2 1 1 -1 4 -1 -1 0] [ 2 0 -2 2 1 1 0 -2 0 2 0 -2 -2 1 -1 0 -1 2 -1 4 0 0] [ 1 -2 0 -1 2 1 -2 0 1 -1 1 0 -1 1 -2 0 1 0 -1 0 6 -2] [ 0 1 1 0 -1 0 1 1 0 0 -1 2 0 0 1 1 0 -1 0 0 -2 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = false LatDB = - 52. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 2 -1 1 1 -1 1 0 1 1 1 1 -2 0 2 -1 -2 0 0] [ 0 4 0 0 0 2 2 0 1 -1 1 -1 1 2 2 1 -1 -1 -1 1 1 2] [ 0 0 4 2 -1 0 0 2 1 0 1 0 -1 1 0 0 -1 0 2 0 1 1] [ 0 0 2 4 0 1 0 0 -1 -1 1 -1 -1 0 1 0 -1 0 1 0 1 1] [ 2 0 -1 0 4 1 0 0 -2 -1 1 -1 2 0 0 0 1 0 0 0 -1 1] [-1 2 0 1 1 4 0 -1 0 -2 2 -2 0 1 1 1 -1 -1 1 1 1 2] [ 1 2 0 0 0 0 4 0 1 1 1 0 1 1 2 0 -1 1 -1 0 1 0] [ 1 0 2 0 0 -1 0 4 0 1 -1 1 0 0 -1 0 0 0 1 0 0 0] [-1 1 1 -1 -2 0 1 0 4 1 0 1 -1 1 0 0 -1 0 0 0 1 0] [ 1 -1 0 -1 -1 -2 1 1 1 4 -1 1 -1 -1 0 -1 -1 1 -1 -1 1 -2] [ 0 1 1 1 1 2 1 -1 0 -1 4 -1 1 1 1 0 -1 0 1 0 1 1] [ 1 -1 0 -1 -1 -2 0 1 1 1 -1 4 0 0 -1 -2 1 2 0 -2 -1 -1] [ 1 1 -1 -1 2 0 1 0 -1 -1 1 0 4 1 1 0 1 0 -1 0 -1 0] [ 1 2 1 0 0 1 1 0 1 -1 1 0 1 4 1 -1 0 1 0 -1 0 1] [ 1 2 0 1 0 1 2 -1 0 0 1 -1 1 1 4 0 -2 0 -1 0 2 1] [-2 1 0 0 0 1 0 0 0 -1 0 -2 0 -1 0 4 -1 -2 0 2 0 1] [ 0 -1 -1 -1 1 -1 -1 0 -1 -1 -1 1 1 0 -2 -1 4 0 0 0 -2 0] [ 2 -1 0 0 0 -1 1 0 0 1 0 2 0 1 0 -2 0 4 0 -2 0 -1] [-1 -1 2 1 0 1 -1 1 0 -1 1 0 -1 0 -1 0 0 0 4 0 0 1] [-2 1 0 0 0 1 0 0 0 -1 0 -2 0 -1 0 2 0 -2 0 4 1 1] [ 0 1 1 1 -1 1 1 0 1 1 1 -1 -1 0 2 0 -2 0 0 1 4 0] [ 0 2 1 1 1 2 0 0 0 -2 1 -1 0 1 1 1 0 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 53. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 1 2 -1 -1 -1 0 1 -1 0 0 -1 -2 -1 0 0 0 0 1] [ 2 4 0 0 1 2 1 0 -1 -1 0 0 1 0 -1 0 0 0 -1 0 -1 2] [ 2 0 4 0 -1 2 -1 -2 0 0 0 -2 0 1 0 -1 -2 1 1 -1 0 0] [ 2 0 0 4 1 1 -1 0 -1 0 2 0 0 -1 -1 -1 0 -1 0 1 0 0] [ 1 1 -1 1 4 1 0 1 0 -1 0 1 1 0 0 -1 1 0 -2 0 -1 0] [ 2 2 2 1 1 6 -1 -2 -2 -2 0 -2 2 -1 -2 1 -2 -1 -2 1 -2 1] [-1 1 -1 -1 0 -1 4 0 1 -1 0 0 1 1 1 0 0 1 1 -1 -1 1] [-1 0 -2 0 1 -2 0 4 1 1 0 2 0 -1 0 0 1 1 -1 -1 0 -1] [-1 -1 0 -1 0 -2 1 1 4 0 0 0 -1 0 2 0 1 1 1 -1 1 0] [ 0 -1 0 0 -1 -2 -1 1 0 4 -1 0 -2 -1 1 0 1 0 1 0 2 0] [ 1 0 0 2 0 0 0 0 0 -1 4 0 1 0 0 -1 0 0 1 0 -1 -1] [-1 0 -2 0 1 -2 0 2 0 0 0 4 -1 1 0 0 1 1 -1 -1 0 -1] [ 0 1 0 0 1 2 1 0 -1 -2 1 -1 4 0 -1 0 -1 0 -1 0 -2 0] [ 0 0 1 -1 0 -1 1 -1 0 -1 0 1 0 4 1 -1 -1 2 1 -2 0 -1] [-1 -1 0 -1 0 -2 1 0 2 1 0 0 -1 1 4 0 1 0 1 -1 1 0] [-2 0 -1 -1 -1 1 0 0 0 0 -1 0 0 -1 0 4 1 -1 -1 1 0 1] [-1 0 -2 0 1 -2 0 1 1 1 0 1 -1 -1 1 1 4 -1 0 1 1 1] [ 0 0 1 -1 0 -1 1 1 1 0 0 1 0 2 0 -1 -1 4 1 -2 0 -1] [ 0 -1 1 0 -2 -2 1 -1 1 1 1 -1 -1 1 1 -1 0 1 4 -1 1 0] [ 0 0 -1 1 0 1 -1 -1 -1 0 0 -1 0 -2 -1 1 1 -2 -1 4 1 1] [ 0 -1 0 0 -1 -2 -1 0 1 2 -1 0 -2 0 1 0 1 0 1 1 4 0] [ 1 2 0 0 0 1 1 -1 0 0 -1 -1 0 -1 0 1 1 -1 0 1 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 54. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 2 1 -1 -1 -1 2 -1 -2 -1 -1 1 -1 -1 2 1 -2 -1 -1] [-2 4 -1 1 -2 -1 1 2 -1 -2 -1 2 0 0 -2 1 0 -2 -2 2 0 -1] [ 0 -1 4 1 1 0 1 1 2 0 -1 0 -1 -1 1 -2 1 0 -1 0 1 0] [ 0 1 1 4 -1 1 2 1 0 -2 -2 1 -2 -2 1 -1 -1 -1 -1 1 -1 -2] [ 2 -2 1 -1 4 0 -1 -1 1 2 1 -2 0 0 0 0 -1 2 1 -2 0 0] [ 1 -1 0 1 0 4 1 -1 -1 -1 1 -1 0 0 1 -1 1 1 1 -1 -1 0] [-1 1 1 2 -1 1 4 0 0 -2 -1 1 0 0 1 -1 0 -1 -1 1 1 -1] [-1 2 1 1 -1 -1 0 4 0 0 -2 2 0 0 -1 -1 1 -2 -2 2 0 0] [-1 -1 2 0 1 -1 0 0 4 1 1 0 0 0 1 0 0 0 0 0 0 1] [ 2 -2 0 -2 2 -1 -2 0 1 6 1 -1 0 0 1 -1 -1 1 0 -1 0 0] [-1 -1 -1 -2 1 1 -1 -2 1 1 6 -2 1 1 -1 1 1 2 2 -2 0 1] [-2 2 0 1 -2 -1 1 2 0 -1 -2 4 0 1 0 0 0 -2 -2 2 0 0] [-1 0 -1 -2 0 0 0 0 0 0 1 0 4 2 -1 1 1 -1 0 0 1 2] [-1 0 -1 -2 0 0 0 0 0 0 1 1 2 4 -1 1 1 0 0 0 1 2] [ 1 -2 1 1 0 1 1 -1 1 1 -1 0 -1 -1 4 -2 -1 0 1 0 -1 0] [-1 1 -2 -1 0 -1 -1 -1 0 -1 1 0 1 1 -2 4 0 0 0 0 0 1] [-1 0 1 -1 -1 1 0 1 0 -1 1 0 1 1 -1 0 4 0 0 0 1 2] [ 2 -2 0 -1 2 1 -1 -2 0 1 2 -2 -1 0 0 0 0 4 2 -2 0 0] [ 1 -2 -1 -1 1 1 -1 -2 0 0 2 -2 0 0 1 0 0 2 4 -2 -1 1] [-2 2 0 1 -2 -1 1 2 0 -1 -2 2 0 0 0 0 0 -2 -2 4 1 0] [-1 0 1 -1 0 -1 1 0 0 0 0 0 1 1 -1 0 1 0 -1 1 4 0] [-1 -1 0 -2 0 0 -1 0 1 0 1 0 2 2 0 1 2 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1>, <5, 1> ] Modular = true LatDB = - 55. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 2 -1 1 2 1 -1 1 -1 1 1 1 0 -1 -1 2 1 1 0] [ 2 4 1 -1 0 0 1 2 1 -1 1 -1 1 1 2 0 -1 -1 1 1 0 0] [ 1 1 4 -2 2 1 0 0 2 0 0 -2 -1 0 0 -1 1 0 0 0 -1 1] [-1 -1 -2 4 -1 0 0 0 0 -1 0 2 1 -1 0 1 0 0 -1 0 1 0] [ 2 0 2 -1 6 0 2 1 1 -1 2 0 -1 0 1 1 -1 -1 1 1 2 -1] [-1 0 1 0 0 4 0 0 1 1 0 0 1 1 1 0 -1 -1 -1 1 1 1] [ 1 1 0 0 2 0 4 2 -1 -2 2 0 1 1 1 2 -1 0 0 0 1 -2] [ 2 2 0 0 1 0 2 4 1 -1 1 0 2 2 2 1 -2 0 0 0 2 -1] [ 1 1 2 0 1 1 -1 1 4 0 -1 0 0 0 1 -1 0 -1 0 1 0 1] [-1 -1 0 -1 -1 1 -2 -1 0 4 -2 -1 0 0 0 0 0 0 0 0 0 2] [ 1 1 0 0 2 0 2 1 -1 -2 4 1 1 0 1 0 -1 -1 1 1 2 -2] [-1 -1 -2 2 0 0 0 0 0 -1 1 4 0 0 0 0 0 0 -1 0 2 -1] [ 1 1 -1 1 -1 1 1 2 0 0 1 0 4 1 1 0 -2 -1 1 1 1 0] [ 1 1 0 -1 0 1 1 2 0 0 0 0 1 4 1 0 -2 1 0 -1 2 0] [ 1 2 0 0 1 1 1 2 1 0 1 0 1 1 4 1 -2 -2 0 1 2 0] [ 0 0 -1 1 1 0 2 1 -1 0 0 0 0 0 1 4 0 0 -1 0 1 0] [-1 -1 1 0 -1 -1 -1 -2 0 0 -1 0 -2 -2 -2 0 4 1 -1 -1 -2 1] [-1 -1 0 0 -1 -1 0 0 -1 0 -1 0 -1 1 -2 0 1 4 -1 -2 0 0] [ 2 1 0 -1 1 -1 0 0 0 0 1 -1 1 0 0 -1 -1 -1 4 1 0 0] [ 1 1 0 0 1 1 0 0 1 0 1 0 1 -1 1 0 -1 -2 1 4 1 0] [ 1 0 -1 1 2 1 1 2 0 0 2 2 1 2 2 1 -2 0 0 1 6 -1] [ 0 0 1 0 -1 1 -2 -1 1 2 -2 -1 0 0 0 0 1 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 3> ] Modular = true LatDB = - 56. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 1 -2 -1 2 1 1 1 1 -1 -1 1 1 -2 -2 1 1 -1 1 -1] [-1 4 1 -2 1 2 0 0 -1 -2 0 -1 0 -2 1 1 0 -2 -2 2 0 -1] [ 1 1 4 0 0 1 0 0 0 -1 -1 1 1 -1 0 1 0 -2 -1 0 1 -1] [ 1 -2 0 4 -1 0 1 -1 0 0 1 0 -1 0 0 -1 -1 0 0 -2 -1 -1] [-2 1 0 -1 4 0 0 -1 0 0 0 0 2 0 0 2 0 -2 0 2 0 0] [-1 2 1 0 0 4 -1 -1 0 -2 0 0 -1 -2 0 1 0 -2 -2 0 -1 0] [ 2 0 0 1 0 -1 4 0 1 0 2 -2 0 0 2 -2 -2 0 0 0 0 -1] [ 1 0 0 -1 -1 -1 0 4 -1 1 0 -1 1 1 -1 -1 0 2 1 1 1 1] [ 1 -1 0 0 0 0 1 -1 4 1 0 1 -1 1 0 -1 0 -1 1 0 -1 0] [ 1 -2 -1 0 0 -2 0 1 1 4 -1 0 0 2 -1 -1 0 2 2 0 1 1] [ 1 0 -1 1 0 0 2 0 0 -1 4 -1 -1 0 1 -1 -2 1 0 0 0 0] [-1 -1 1 0 0 0 -2 -1 1 0 -1 4 0 0 -1 1 2 0 0 0 0 0] [-1 0 1 -1 2 -1 0 1 -1 0 -1 0 4 0 0 1 1 -1 0 1 1 0] [ 1 -2 -1 0 0 -2 0 1 1 2 0 0 0 4 0 -1 0 2 2 0 1 1] [ 1 1 0 0 0 0 2 -1 0 -1 1 -1 0 0 4 -1 -1 0 -1 0 1 -1] [-2 1 1 -1 2 1 -2 -1 -1 -1 -1 1 1 -1 -1 4 1 -2 -1 1 0 0] [-2 0 0 -1 0 0 -2 0 0 0 -2 2 1 0 -1 1 4 0 0 0 0 0] [ 1 -2 -2 0 -2 -2 0 2 -1 2 1 0 -1 2 0 -2 0 6 2 -1 2 2] [ 1 -2 -1 0 0 -2 0 1 1 2 0 0 0 2 -1 -1 0 2 4 0 0 1] [-1 2 0 -2 2 0 0 1 0 0 0 0 1 0 0 1 0 -1 0 4 0 0] [ 1 0 1 -1 0 -1 0 1 -1 1 0 0 1 1 1 0 0 2 0 0 4 0] [-1 -1 -1 -1 0 0 -1 1 0 1 0 0 0 1 -1 0 0 2 1 0 0 4] |Aut| = [ <2, 7>, <3, 1> ] Modular = true LatDB = - 57. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 0 2 1 0 1 1 1 1 -1 -1 1 -1 1 1 -2 1 1 0 -1] [-1 4 -1 -1 0 -2 -1 -1 0 -1 -1 -1 1 -1 0 0 1 0 1 -1 -1 2] [-1 -1 4 1 -1 0 -1 -1 1 -1 -1 1 -1 -1 1 -2 0 1 -1 -1 0 -2] [ 0 -1 1 4 -2 1 0 0 -1 0 0 1 -1 0 -1 -1 -2 2 -1 0 -1 1] [ 2 0 -1 -2 4 0 0 1 0 1 1 0 0 1 0 0 1 -2 0 1 1 -2] [ 1 -2 0 1 0 4 0 2 0 0 0 0 -1 2 -1 0 -2 1 0 0 0 0] [ 0 -1 -1 0 0 0 4 -1 0 2 0 -1 0 0 1 1 -1 0 0 0 1 1] [ 1 -1 -1 0 1 2 -1 4 0 0 1 0 -1 2 -2 1 -1 0 -1 1 1 0] [ 1 0 1 -1 0 0 0 0 4 0 0 -1 0 0 0 1 1 -1 1 0 0 0] [ 1 -1 -1 0 1 0 2 0 0 4 2 0 1 1 0 1 0 -1 -1 2 0 0] [ 1 -1 -1 0 1 0 0 1 0 2 4 0 1 0 0 1 0 -1 -1 2 0 0] [-1 -1 1 1 0 0 -1 0 -1 0 0 4 1 0 -1 -2 0 1 -1 0 -1 -2] [-1 1 -1 -1 0 -1 0 -1 0 1 1 1 4 -1 1 0 1 -1 1 1 -1 1] [ 1 -1 -1 0 1 2 0 2 0 1 0 0 -1 4 -2 1 -1 0 -1 1 1 0] [-1 0 1 -1 0 -1 1 -2 0 0 0 -1 1 -2 4 -1 0 -1 1 0 0 0] [ 1 0 -2 -1 0 0 1 1 1 1 1 -2 0 1 -1 4 1 -1 0 1 1 2] [ 1 1 0 -2 1 -2 -1 -1 1 0 0 0 1 -1 0 1 4 -2 1 0 0 -1] [-2 0 1 2 -2 1 0 0 -1 -1 -1 1 -1 0 -1 -1 -2 4 -1 -1 0 1] [ 1 1 -1 -1 0 0 0 -1 1 -1 -1 -1 1 -1 1 0 1 -1 4 -1 -1 1] [ 1 -1 -1 0 1 0 0 1 0 2 2 0 1 1 0 1 0 -1 -1 4 1 0] [ 0 -1 0 -1 1 0 1 1 0 0 0 -1 -1 1 0 1 0 0 -1 1 4 -1] [-1 2 -2 1 -2 0 1 0 0 0 0 -2 1 0 0 2 -1 1 1 0 -1 6] |Aut| = [ <2, 7>, <3, 1> ] Modular = true LatDB = - 58. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 -2 0 -1 2 0 0 -1 -2 1 0 2 2 -1 -2 0 -2 0 -2] [-1 4 1 2 2 1 2 -2 -1 1 -1 1 -2 -1 0 -1 2 0 -1 2 -1 2] [ 0 1 4 -1 -1 2 1 -2 -2 -1 -2 0 0 -2 0 1 1 0 -2 0 1 2] [-1 2 -1 4 1 0 0 -1 0 0 0 1 -2 0 0 0 0 0 0 2 0 1] [-2 2 -1 1 4 -1 1 -1 1 2 1 2 -1 1 0 -2 1 0 1 1 -2 1] [ 0 1 2 0 -1 4 2 0 -2 -2 -1 -1 -1 -2 0 0 2 1 -2 0 2 0] [-1 2 1 0 1 2 6 1 0 -1 -2 0 -2 -1 -1 -2 4 2 -1 2 2 -1] [ 2 -2 -2 -1 -1 0 1 6 1 -1 0 -2 0 0 1 0 1 0 0 -1 0 -3] [ 0 -1 -2 0 1 -2 0 1 4 0 0 1 0 2 0 -1 0 -1 2 0 0 -1] [ 0 1 -1 0 2 -2 -1 -1 0 4 1 1 1 1 1 -1 -1 -1 1 0 -2 1] [-1 -1 -2 0 1 -1 -2 0 0 1 4 1 0 1 -1 -1 -2 0 1 -1 -1 0] [-2 1 0 1 2 -1 0 -2 1 1 1 4 -1 1 -1 -1 -1 0 1 1 0 2] [ 1 -2 0 -2 -1 -1 -2 0 0 1 0 -1 4 1 1 1 -2 0 1 -2 0 0] [ 0 -1 -2 0 1 -2 -1 0 2 1 1 1 1 4 1 0 -1 0 2 0 0 -1] [ 2 0 0 0 0 0 -1 1 0 1 -1 -1 1 1 4 1 0 -1 0 -1 0 0] [ 2 -1 1 0 -2 0 -2 0 -1 -1 -1 -1 1 0 1 4 -2 -1 0 -1 0 0] [-1 2 1 0 1 2 4 1 0 -1 -2 -1 -2 -1 0 -2 6 1 -1 2 0 -1] [-2 0 0 0 0 1 2 0 -1 -1 0 0 0 0 -1 -1 1 4 0 1 2 0] [ 0 -1 -2 0 1 -2 -1 0 2 1 1 1 1 2 0 0 -1 0 4 0 -1 -1] [-2 2 0 2 1 0 2 -1 0 0 -1 1 -2 0 -1 -1 2 1 0 4 0 1] [ 0 -1 1 0 -2 2 2 0 0 -2 -1 0 0 0 0 0 0 2 -1 0 6 -1] [-2 2 2 1 1 0 -1 -3 -1 1 0 2 0 -1 0 0 -1 0 -1 1 -1 6] |Aut| = [ <2, 5>, <3, 2> ] Modular = true LatDB = - 59. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 1 2 -1 2 -1 2 1 0 2 1 -1 -2 2 0 -1 2 2 -2 -2] [ 0 4 1 -1 0 2 0 -1 0 -1 -1 -1 -2 0 1 -1 -1 1 -1 1 1 -2] [ 0 1 4 -2 -1 0 1 1 -1 -2 1 1 0 -1 2 -1 0 -1 -1 -1 2 -2] [ 1 -1 -2 4 0 0 0 0 1 2 1 1 1 1 -2 1 0 0 1 1 -1 2] [ 2 0 -1 0 4 -1 0 0 2 1 -1 1 -1 -1 -2 2 0 1 2 2 -1 -2] [-1 2 0 0 -1 4 0 -1 -1 0 -1 -1 0 0 2 -2 -1 1 -2 -1 2 0] [ 2 0 1 0 0 0 4 0 0 0 0 1 1 -1 -1 0 -1 0 0 0 -1 -1] [-1 -1 1 0 0 -1 0 4 0 0 2 0 0 1 0 0 1 0 0 0 0 1] [ 2 0 -1 1 2 -1 0 0 4 0 -1 0 -1 -1 -2 2 0 -1 2 2 -1 0] [ 1 -1 -2 2 1 0 0 0 0 4 1 0 1 1 -2 1 0 1 1 1 -1 1] [ 0 -1 1 1 -1 -1 0 2 -1 1 4 1 1 1 0 0 1 -1 0 0 0 1] [ 2 -1 1 1 1 -1 1 0 0 0 1 4 1 -1 0 1 1 -1 1 0 0 -1] [ 1 -2 0 1 -1 0 1 0 -1 1 1 1 4 0 0 0 0 -1 0 -1 -1 1] [-1 0 -1 1 -1 0 -1 1 -1 1 1 -1 0 4 -1 0 0 1 0 0 -1 1] [-2 1 2 -2 -2 2 -1 0 -2 -2 0 0 0 -1 6 -3 0 -1 -3 -2 2 -1] [ 2 -1 -1 1 2 -2 0 0 2 1 0 1 0 0 -3 4 0 0 2 2 -1 0] [ 0 -1 0 0 0 -1 -1 1 0 0 1 1 0 0 0 0 4 -1 1 0 0 1] [-1 1 -1 0 1 1 0 0 -1 1 -1 -1 -1 1 -1 0 -1 4 0 0 1 0] [ 2 -1 -1 1 2 -2 0 0 2 1 0 1 0 0 -3 2 1 0 4 2 -2 0] [ 2 1 -1 1 2 -1 0 0 2 1 0 0 -1 0 -2 2 0 0 2 4 -2 -1] [-2 1 2 -1 -1 2 -1 0 -1 -1 0 0 -1 -1 2 -1 0 1 -2 -2 6 0] [-2 -2 -2 2 -2 0 -1 1 0 1 1 -1 1 1 -1 0 1 0 0 -1 0 6] |Aut| = [ <2, 5>, <3, 2> ] Modular = true LatDB = - 60. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 -1 2 1 -1 1 -1 -1 1 1 0 0 0 0 1 2 1 -1] [ 2 4 1 -1 2 0 2 2 0 2 0 1 2 1 -1 0 -1 1 -1 2 2 1] [ 0 1 4 -2 -1 2 1 2 -1 2 -1 2 -1 2 -2 0 -2 2 1 1 -1 -1] [ 1 -1 -2 4 0 -2 0 -2 1 -2 1 -1 1 0 2 0 2 -2 1 0 1 -1] [ 2 2 -1 0 4 -1 0 1 -1 1 -1 0 1 0 0 0 0 0 0 0 1 0] [-1 0 2 -2 -1 4 -1 0 0 0 0 2 0 1 -1 1 -2 1 1 0 -2 -1] [ 2 2 1 0 0 -1 4 1 0 2 0 -1 0 1 -1 0 0 1 -1 2 2 1] [ 1 2 2 -2 1 0 1 4 -1 2 -1 1 0 1 -1 -1 -2 1 0 1 1 0] [-1 0 -1 1 -1 0 0 -1 4 0 1 0 1 0 0 1 1 -1 0 0 0 1] [ 1 2 2 -2 1 0 2 2 0 6 -1 -1 -2 1 -2 -1 -1 2 0 0 0 2] [-1 0 -1 1 -1 0 0 -1 1 -1 4 -1 1 -1 2 -1 0 0 -2 -1 1 2] [-1 1 2 -1 0 2 -1 1 0 -1 -1 6 2 1 -1 0 -2 0 2 1 -1 -1] [ 1 2 -1 1 1 0 0 0 1 -2 1 2 6 -1 0 0 1 0 1 2 2 -1] [ 1 1 2 0 0 1 1 1 0 1 -1 1 -1 4 -1 0 -1 0 1 1 -1 -1] [ 0 -1 -2 2 0 -1 -1 -1 0 -2 2 -1 0 -1 4 -1 0 -1 -1 -1 0 1] [ 0 0 0 0 0 1 0 -1 1 -1 -1 0 0 0 -1 4 1 -1 0 1 0 -2] [ 0 -1 -2 2 0 -2 0 -2 1 -1 0 -2 1 -1 0 1 4 -1 0 0 1 -1] [ 0 1 2 -2 0 1 1 1 -1 2 0 0 0 0 -1 -1 -1 4 0 0 0 1] [ 1 -1 1 1 0 1 -1 0 0 0 -2 2 1 1 -1 0 0 0 6 1 -2 -3] [ 2 2 1 0 0 0 2 1 0 0 -1 1 2 1 -1 1 0 0 1 4 1 -1] [ 1 2 -1 1 1 -2 2 1 0 0 1 -1 2 -1 0 0 1 0 -2 1 6 0] [-1 1 -1 -1 0 -1 1 0 1 2 2 -1 -1 -1 1 -2 -1 1 -3 -1 0 6] |Aut| = [ <2, 5>, <3, 2> ] Modular = true LatDB = - 61. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 -1 2 -1 -1 -1 1 -1 -1 1 -1 -2 1 -2 -1 2 1 1] [ 2 4 1 -1 2 0 2 1 0 1 0 1 1 1 -1 -2 -1 0 1 2 -1 2] [ 0 1 4 -2 -1 -1 1 -1 -1 -1 -2 2 2 2 0 -1 -1 2 2 1 -2 2] [ 1 -1 -2 4 0 1 0 -1 1 -1 2 -1 -1 0 0 0 1 -1 -1 0 1 -2] [ 2 2 -1 0 4 -1 0 0 -1 0 1 0 0 0 -1 0 1 -1 0 0 0 1] [-1 0 -1 1 -1 4 1 2 1 2 0 -1 -1 -1 1 -1 -2 1 -1 0 -1 0] [ 2 2 1 0 0 1 4 0 0 1 0 -1 -1 1 -1 -2 -1 0 -1 2 -1 2] [-1 1 -1 -1 0 2 0 4 1 2 0 0 0 -1 1 -1 -2 1 0 0 -1 0] [-1 0 -1 1 -1 1 0 1 4 2 0 0 0 0 -1 1 -1 1 1 0 -1 -1] [-1 1 -1 -1 0 2 1 2 2 6 0 -2 -2 -1 -2 -1 -3 2 0 -1 -1 2] [ 1 0 -2 2 1 0 0 0 0 0 4 -2 -1 -1 0 -1 1 -2 -2 -1 1 0] [-1 1 2 -1 0 -1 -1 0 0 -2 -2 6 4 1 0 0 0 2 4 1 -2 0] [-1 1 2 -1 0 -1 -1 0 0 -2 -1 4 6 0 1 0 0 1 4 1 -1 -1] [ 1 1 2 0 0 -1 1 -1 0 -1 -1 1 0 4 -1 -1 0 1 1 1 -2 1] [-1 -1 0 0 -1 1 -1 1 -1 -2 0 0 1 -1 4 0 0 0 -1 0 0 -1] [-2 -2 -1 0 0 -1 -2 -1 1 -1 -1 0 0 -1 0 6 2 -1 0 -1 1 -3] [ 1 -1 -1 1 1 -2 -1 -2 -1 -3 1 0 0 0 0 2 4 -3 -1 0 2 -2] [-2 0 2 -1 -1 1 0 1 1 2 -2 2 1 1 0 -1 -3 6 3 -1 -3 2] [-1 1 2 -1 0 -1 -1 0 1 0 -2 4 4 1 -1 0 -1 3 6 1 -2 0] [ 2 2 1 0 0 0 2 0 0 -1 -1 1 1 1 0 -1 0 -1 1 4 0 0] [ 1 -1 -2 1 0 -1 -1 -1 -1 -1 1 -2 -1 -2 0 1 2 -3 -2 0 6 -3] [ 1 2 2 -2 1 0 2 0 -1 2 0 0 -1 1 -1 -3 -2 2 0 0 -3 6] |Aut| = [ <2, 5>, <3, 2> ] Modular = true LatDB = - 62. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 0 -1 2 -2 2 2 0 2 2 -1 0 -1 1 -1 2 1 1 -1 -1] [ 1 6 -2 2 2 1 -3 -1 1 1 1 1 -3 1 -3 3 2 1 3 3 -2 -3] [ 2 -2 6 1 0 2 0 3 2 -2 2 2 -1 -2 1 0 0 2 1 -1 -1 1] [ 0 2 1 4 1 1 0 0 1 0 1 0 -2 0 -2 2 1 1 1 2 -1 -2] [-1 2 0 1 4 -1 -1 0 -1 -1 -1 1 -2 -1 0 1 1 -1 1 0 0 0] [ 2 1 2 1 -1 4 -2 1 2 0 2 0 -1 0 -1 1 1 2 2 1 -1 -1] [-2 -3 0 0 -1 -2 4 -1 -1 0 -1 -1 2 0 1 -1 -1 -1 -2 -1 1 1] [ 2 -1 3 0 0 1 -1 4 1 -1 1 1 -1 -1 0 0 -1 1 1 0 0 0] [ 2 1 2 1 -1 2 -1 1 4 -1 2 2 0 0 -2 1 0 2 1 2 -2 -2] [ 0 1 -2 0 -1 0 0 -1 -1 4 0 -2 0 2 0 0 0 0 -1 0 1 0] [ 2 1 2 1 -1 2 -1 1 2 0 4 1 0 -1 -2 1 0 2 1 1 -2 -1] [ 2 1 2 0 1 0 -1 1 2 -2 1 6 0 0 -2 0 0 1 1 2 -1 -2] [-1 -3 -1 -2 -2 -1 2 -1 0 0 0 0 6 0 0 -3 -2 0 -3 0 0 0] [ 0 1 -2 0 -1 0 0 -1 0 2 -1 0 0 4 0 0 0 0 -1 2 1 -2] [-1 -3 1 -2 0 -1 1 0 -2 0 -2 -2 0 0 6 -2 0 -1 -1 -4 1 4] [ 1 3 0 2 1 1 -1 0 1 0 1 0 -3 0 -2 4 1 1 2 2 -1 -2] [-1 2 0 1 1 1 -1 -1 0 0 0 0 -2 0 0 1 4 0 2 0 -1 0] [ 2 1 2 1 -1 2 -1 1 2 0 2 1 0 0 -1 1 0 4 1 2 -2 -1] [ 1 3 1 1 1 2 -2 1 1 -1 1 1 -3 -1 -1 2 2 1 6 1 -2 -1] [ 1 3 -1 2 0 1 -1 0 2 0 1 2 0 2 -4 2 0 2 1 6 -1 -4] [-1 -2 -1 -1 0 -1 1 0 -2 1 -2 -1 0 1 1 -1 -1 -2 -2 -1 4 1] [-1 -3 1 -2 0 -1 1 0 -2 0 -1 -2 0 -2 4 -2 0 -1 -1 -4 1 6] |Aut| = [ <2, 5>, <3, 2> ] Modular = true LatDB = - 63. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 -1 0 -1 0 -1 -1 0 1 -1 2 -2 1 2 1 1 0 -1 -2] [-1 4 0 2 -1 1 -1 0 -1 2 1 -1 0 -2 0 1 -2 1 0 1 -1 -1] [-2 0 4 -1 2 0 1 -1 1 1 0 0 0 -1 2 0 0 -1 -1 0 1 0] [-1 2 -1 6 -3 1 -2 1 1 -1 1 -2 0 1 2 -1 -2 2 1 1 -2 -1] [-1 -1 2 -3 6 -2 1 -2 1 -1 -2 1 0 -2 -1 -1 1 -1 -2 -2 1 2] [ 0 1 0 1 -2 4 1 -1 1 2 2 -1 -1 1 2 2 -1 0 2 2 0 -2] [-1 -1 1 -2 1 1 4 0 1 0 0 0 -1 -1 1 0 0 -2 -1 0 2 0] [ 0 0 -1 1 -2 -1 0 4 0 0 -1 -1 1 -1 -1 -1 -1 0 0 -1 0 1] [-1 -1 1 1 1 1 1 0 4 0 -1 -1 -1 0 2 -1 0 0 0 -1 0 0] [-1 2 1 -1 -1 2 0 0 0 6 1 -1 0 -2 0 2 -2 -1 1 1 1 -1] [ 0 1 0 1 -2 2 0 -1 -1 1 4 -1 0 2 2 2 -1 0 1 2 0 -2] [ 1 -1 0 -2 1 -1 0 -1 -1 -1 -1 4 0 0 -2 -1 2 1 -1 -1 0 1] [-1 0 0 0 0 -1 -1 1 -1 0 0 0 4 -1 0 -1 0 -1 1 0 1 2] [ 2 -2 -1 1 -2 1 -1 -1 0 -2 2 0 -1 6 1 1 1 1 1 1 -1 -1] [-2 0 2 2 -1 2 1 -1 2 0 2 -2 0 1 6 1 -1 -1 1 2 1 -2] [ 1 1 0 -1 -1 2 0 -1 -1 2 2 -1 -1 1 1 4 -1 0 1 2 0 -2] [ 2 -2 0 -2 1 -1 0 -1 0 -2 -1 2 0 1 -1 -1 4 0 0 -1 0 0] [ 1 1 -1 2 -1 0 -2 0 0 -1 0 1 -1 1 -1 0 0 4 0 0 -2 0] [ 1 0 -1 1 -2 2 -1 0 0 1 1 -1 1 1 1 1 0 0 4 1 0 -1] [ 0 1 0 1 -2 2 0 -1 -1 1 2 -1 0 1 2 2 -1 0 1 4 1 -2] [-1 -1 1 -2 1 0 2 0 0 1 0 0 1 -1 1 0 0 -2 0 1 4 0] [-2 -1 0 -1 2 -2 0 1 0 -1 -2 1 2 -1 -2 -2 0 0 -1 -2 0 6] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 64. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 -1 1 1 2 2 1 2 -1 1 2 -1 -1 -1 -1 0 1 1 2] [ 0 4 -2 -2 1 -1 2 -1 -2 2 -1 0 -2 -1 -2 0 -2 2 0 2 -2 -1] [ 1 -2 4 2 -1 2 0 1 2 0 1 -1 0 1 2 0 2 -2 -1 0 0 1] [-1 -2 2 4 0 0 -1 1 1 -1 1 0 1 1 1 1 2 -1 -1 -1 1 -1] [-1 1 -1 0 4 -1 1 0 0 1 0 2 0 0 -1 -1 -1 0 1 1 0 -1] [ 1 -1 2 0 -1 4 0 1 0 0 1 -2 1 1 0 -1 1 -1 -1 0 1 2] [ 1 2 0 -1 1 0 4 1 1 2 0 1 -1 0 -1 0 -1 0 0 2 -2 0] [ 2 -1 1 1 0 1 1 4 2 0 2 0 1 2 0 0 0 -1 -1 0 2 1] [ 2 -2 2 1 0 0 1 2 6 -1 1 0 2 1 0 -1 1 -1 1 -1 1 1] [ 1 2 0 -1 1 0 2 0 -1 4 0 1 -1 1 0 0 -1 0 0 2 -2 0] [ 2 -1 1 1 0 1 0 2 1 0 4 0 1 2 -1 0 0 -2 -1 0 2 1] [-1 0 -1 0 2 -2 1 0 0 1 0 6 -2 0 2 2 1 -1 2 1 -2 -2] [ 1 -2 0 1 0 1 -1 1 2 -1 1 -2 6 1 -1 -2 0 -1 1 -1 3 2] [ 2 -1 1 1 0 1 0 2 1 1 2 0 1 4 -1 0 0 -1 -1 0 2 1] [-1 -2 2 1 -1 0 -1 0 0 0 -1 2 -1 -1 6 1 2 -2 1 0 -2 0] [-1 0 0 1 -1 -1 0 0 -1 0 0 2 -2 0 1 4 2 0 -1 0 -1 -1] [-1 -2 2 2 -1 1 -1 0 1 -1 0 1 0 0 2 2 4 -1 0 -1 0 0] [-1 2 -2 -1 0 -1 0 -1 -1 0 -2 -1 -1 -1 -2 0 -1 4 0 0 0 -1] [ 0 0 -1 -1 1 -1 0 -1 1 0 -1 2 1 -1 1 -1 0 0 4 0 -1 0] [ 1 2 0 -1 1 0 2 0 -1 2 0 1 -1 0 0 0 -1 0 0 4 -1 0] [ 1 -2 0 1 0 1 -2 2 1 -2 2 -2 3 2 -2 -1 0 0 -1 -1 6 1] [ 2 -1 1 -1 -1 2 0 1 1 0 1 -2 2 1 0 -1 0 -1 0 0 1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 65. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 1 0 2 -2 0 1 -1 0 -2 1 2 0 2 1 -2 0 2] [-2 4 -2 2 -1 -1 -1 -1 2 1 -1 1 -1 2 0 -1 0 -2 -1 2 0 -1] [ 2 -2 4 -2 0 0 1 2 -2 -1 1 0 1 -1 1 1 1 2 0 -2 -1 1] [-1 2 -2 4 1 0 -2 -2 2 1 -1 1 -1 1 -1 -1 -1 -2 -1 2 1 -1] [ 1 -1 0 1 4 0 -1 1 0 -1 0 -1 1 -1 -1 -1 0 0 1 0 0 0] [ 1 -1 0 0 0 4 1 1 -1 1 -1 0 -1 -2 1 2 -2 1 0 -1 2 1] [ 0 -1 1 -2 -1 1 4 0 -1 0 -1 1 0 -1 0 0 1 1 -1 -1 -1 1] [ 2 -1 2 -2 1 1 0 6 -2 -2 1 -2 2 -1 2 2 0 2 2 -2 0 1] [-2 2 -2 2 0 -1 -1 -2 4 0 -1 0 -1 1 -2 -2 -1 -2 -1 2 0 -2] [ 0 1 -1 1 -1 1 0 -2 0 4 0 1 -1 1 0 0 -1 0 -1 0 1 1] [ 1 -1 1 -1 0 -1 -1 1 -1 0 4 0 2 1 0 1 0 2 2 -1 0 1] [-1 1 0 1 -1 0 1 -2 0 1 0 4 0 1 -1 0 0 0 -1 0 0 1] [ 0 -1 1 -1 1 -1 0 2 -1 -1 2 0 4 1 0 0 0 1 2 -1 0 1] [-2 2 -1 1 -1 -2 -1 -1 1 1 1 1 1 4 -1 -1 0 -1 0 1 0 0] [ 1 0 1 -1 -1 1 0 2 -2 0 0 -1 0 -1 4 1 0 0 1 0 1 0] [ 2 -1 1 -1 -1 2 0 2 -2 0 1 0 0 -1 1 4 -1 2 1 -2 1 2] [ 0 0 1 -1 0 -2 1 0 -1 -1 0 0 0 0 0 -1 4 0 -1 0 -2 0] [ 2 -2 2 -2 0 1 1 2 -2 0 2 0 1 -1 0 2 0 4 1 -2 0 2] [ 1 -1 0 -1 1 0 -1 2 -1 -1 2 -1 2 0 1 1 -1 1 4 -1 1 1] [-2 2 -2 2 0 -1 -1 -2 2 0 -1 0 -1 1 0 -2 0 -2 -1 4 1 -2] [ 0 0 -1 1 0 2 -1 0 0 1 0 0 0 0 1 1 -2 0 1 1 4 0] [ 2 -1 1 -1 0 1 1 1 -2 1 1 1 1 0 0 2 0 2 1 -2 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 66. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 1 1 2 2 -1 -1 -1 2 1 0 -1 1 2 -1 1] [ 1 4 -1 0 2 1 2 2 0 1 -1 1 0 0 1 -1 -1 0 2 -1 1 1] [-1 -1 4 -1 0 0 0 0 1 0 1 0 2 -1 0 0 -1 -1 0 1 0 -1] [-1 0 -1 4 0 0 0 1 -1 0 -2 0 1 1 0 1 -1 2 -1 -2 0 1] [ 1 2 0 0 4 2 2 2 -1 1 -1 1 0 -1 1 -1 -2 1 0 1 1 0] [ 2 1 0 0 2 4 1 1 1 2 1 -1 0 -2 2 1 -1 -1 0 2 -1 0] [ 1 2 0 0 2 1 4 2 0 1 -1 0 0 -1 2 -1 -2 1 0 1 1 0] [ 1 2 0 1 2 1 2 4 0 2 0 0 1 0 1 0 -2 1 1 -1 1 1] [ 1 0 1 -1 -1 1 0 0 4 0 2 -2 0 -1 0 0 1 -1 0 0 0 1] [ 2 1 0 0 1 2 1 2 0 4 2 -1 1 -1 2 2 -1 -1 1 1 -1 0] [ 2 -1 1 -2 -1 1 -1 0 2 2 6 -2 0 -2 1 2 2 -2 1 2 -2 1] [-1 1 0 0 1 -1 0 0 -2 -1 -2 4 1 0 0 -1 0 0 0 0 0 -1] [-1 0 2 1 0 0 0 1 0 1 0 1 4 0 0 1 -1 0 0 0 0 0] [-1 0 -1 1 -1 -2 -1 0 -1 -1 -2 0 0 4 -2 0 0 1 1 -2 1 1] [ 2 1 0 0 1 2 2 1 0 2 1 0 0 -2 4 1 -1 -1 0 2 -1 0] [ 1 -1 0 1 -1 1 -1 0 0 2 2 -1 1 0 1 4 1 -1 0 1 -2 1] [ 0 -1 -1 -1 -2 -1 -2 -2 1 -1 2 0 -1 0 -1 1 4 -1 0 0 -1 1] [-1 0 -1 2 1 -1 1 1 -1 -1 -2 0 0 1 -1 -1 -1 4 -1 -1 2 1] [ 1 2 0 -1 0 0 0 1 0 1 1 0 0 1 0 0 0 -1 4 -1 0 1] [ 2 -1 1 -2 1 2 1 -1 0 1 2 0 0 -2 2 1 0 -1 -1 6 -1 -1] [-1 1 0 0 1 -1 1 1 0 -1 -2 0 0 1 -1 -2 -1 2 0 -1 4 0] [ 1 1 -1 1 0 0 0 1 1 0 1 -1 0 1 0 1 1 1 1 -1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 67. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 -1 0 -1 -1 -2 1 1 -1 0 0 2 -2 1 1 0 -2] [ 0 4 -1 -1 1 2 2 -1 -1 -1 1 1 -1 2 -2 -2 0 2 -2 -1 1 2] [ 1 -1 4 0 0 0 -1 1 0 -1 0 1 0 0 -1 2 -1 -1 1 0 1 -2] [ 2 -1 0 4 -2 -1 -2 -1 1 1 -2 0 2 -1 0 0 1 -2 0 2 0 -2] [-2 1 0 -2 4 2 1 0 0 1 2 -1 0 1 -1 1 -2 2 -1 -2 1 1] [-1 2 0 -1 2 4 2 0 0 -1 1 1 0 2 -2 -1 -1 1 -2 -1 2 2] [-1 2 -1 -2 1 2 6 -1 1 -3 1 1 0 2 0 -3 1 1 -2 0 -1 3] [ 0 -1 1 -1 0 0 -1 4 -2 -1 0 -1 0 0 0 0 -1 -1 1 0 0 0] [-1 -1 0 1 0 0 1 -2 4 1 0 0 1 0 1 0 0 0 0 1 -1 0] [-1 -1 -1 1 1 -1 -3 -1 1 6 1 -2 0 -1 0 3 -2 1 1 0 -1 0] [-2 1 0 -2 2 1 1 0 0 1 4 0 -2 2 -1 1 -2 2 -1 -2 -1 1] [ 1 1 1 0 -1 1 1 -1 0 -2 0 4 -1 0 -1 0 1 0 -1 0 0 -1] [ 1 -1 0 2 0 0 0 0 1 0 -2 -1 4 -1 1 -1 1 -1 0 2 1 0] [-1 2 0 -1 1 2 2 0 0 -1 2 0 -1 4 -2 -1 -1 1 -2 -1 1 2] [ 0 -2 -1 0 -1 -2 0 0 1 0 -1 -1 1 -2 4 -1 1 -1 2 1 -2 0] [ 0 -2 2 0 1 -1 -3 0 0 3 1 0 -1 -1 -1 6 -1 0 1 -1 0 -2] [ 2 0 -1 1 -2 -1 1 -1 0 -2 -2 1 1 -1 1 -1 4 -1 0 1 0 0] [-2 2 -1 -2 2 1 1 -1 0 1 2 0 -1 1 -1 0 -1 4 -1 -1 1 2] [ 1 -2 1 0 -1 -2 -2 1 0 1 -1 -1 0 -2 2 1 0 -1 4 0 -1 -1] [ 1 -1 0 2 -2 -1 0 0 1 0 -2 0 2 -1 1 -1 1 -1 0 4 0 0] [ 0 1 1 0 1 2 -1 0 -1 -1 -1 0 1 1 -2 0 0 1 -1 0 6 0] [-2 2 -2 -2 1 2 3 0 0 0 1 -1 0 2 0 -2 0 2 -1 0 0 6] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 68. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 1 -1 0 1 -2 0 -1 1 -1 1 1 0 1 1 0 -1 -1 -2] [ 1 4 -1 0 -1 1 1 1 1 0 1 1 -2 1 2 -1 2 -1 1 1 -2 0] [ 2 -1 4 2 0 -2 0 0 -1 -1 -2 0 1 0 -1 1 0 2 -1 -2 1 -1] [ 2 0 2 4 -1 0 -1 1 -2 0 0 1 0 1 0 0 1 0 -1 0 0 0] [ 1 -1 0 -1 4 0 0 -1 0 1 0 -1 0 -1 0 1 0 0 1 0 0 -2] [-1 1 -2 0 0 4 -1 1 1 0 2 0 0 0 0 -1 0 -2 1 2 -1 1] [ 0 1 0 -1 0 -1 4 0 2 -1 -1 0 -1 0 1 -1 2 1 1 -1 -1 0] [ 1 1 0 1 -1 1 0 4 0 -1 0 2 -1 2 1 -2 0 0 1 0 0 1] [-2 1 -1 -2 0 1 2 0 6 0 0 -2 -1 -2 1 -2 1 0 2 0 0 0] [ 0 0 -1 0 1 0 -1 -1 0 4 0 -1 0 -1 0 0 1 0 1 0 0 -1] [-1 1 -2 0 0 2 -1 0 0 0 4 0 0 1 1 0 0 -2 0 2 -1 1] [ 1 1 0 1 -1 0 0 2 -2 -1 0 4 -1 2 0 0 0 -1 -1 0 0 1] [-1 -2 1 0 0 0 -1 -1 -1 0 0 -1 4 -1 -1 1 -1 0 0 0 1 1] [ 1 1 0 1 -1 0 0 2 -2 -1 1 2 -1 4 0 0 0 0 -1 0 0 1] [ 1 2 -1 0 0 0 1 1 1 0 1 0 -1 0 4 -2 1 -1 2 1 -2 0] [ 0 -1 1 0 1 -1 -1 -2 -2 0 0 0 1 0 -2 4 0 0 -2 0 1 0] [ 1 2 0 1 0 0 2 0 1 1 0 0 -1 0 1 0 4 0 1 0 -1 0] [ 1 -1 2 0 0 -2 1 0 0 0 -2 -1 0 0 -1 0 0 4 0 -2 1 -1] [ 0 1 -1 -1 1 1 1 1 2 1 0 -1 0 -1 2 -2 1 0 4 0 -1 0] [-1 1 -2 0 0 2 -1 0 0 0 2 0 0 0 1 0 0 -2 0 4 0 1] [-1 -2 1 0 0 -1 -1 0 0 0 -1 0 1 0 -2 1 -1 1 -1 0 4 0] [-2 0 -1 0 -2 1 0 1 0 -1 1 1 1 1 0 0 0 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 69. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -2 2 1 -1 1 -2 0 1 -1 1 -1 -1 -1 -1 -1 -1 1 -1 -1] [-1 4 1 1 -1 1 2 0 1 0 1 2 1 2 -1 2 -1 -1 0 1 0 1] [ 2 1 4 0 0 2 0 0 -2 1 2 0 1 0 -1 1 -1 -2 0 2 -1 -1] [-2 1 0 4 -1 1 0 -1 1 1 1 0 0 0 0 0 1 -1 0 1 0 1] [ 2 -1 0 -1 4 1 0 0 0 0 1 0 1 0 -1 -2 1 -1 -2 1 0 0] [ 1 1 2 1 1 4 1 -1 0 0 2 0 0 0 0 0 0 -2 -1 2 0 0] [-1 2 0 0 0 1 4 0 2 -1 0 2 1 2 -1 1 -1 0 -1 0 0 0] [ 1 0 0 -1 0 -1 0 4 1 -1 -1 0 1 0 -1 0 -2 1 0 -1 1 1] [-2 1 -2 1 0 0 2 1 6 0 -1 0 1 0 -1 1 1 1 -1 -1 0 3] [ 0 0 1 1 0 0 -1 -1 0 4 0 -1 1 -1 -1 0 2 0 1 0 -1 0] [ 1 1 2 1 1 2 0 -1 -1 0 4 0 1 1 0 0 0 -2 -1 2 -1 0] [-1 2 0 0 0 0 2 0 0 -1 0 4 0 2 -1 1 -1 -1 -1 0 1 0] [ 1 1 1 0 1 0 1 1 1 1 1 0 4 0 -1 0 0 -1 0 1 -1 1] [-1 2 0 0 0 0 2 0 0 -1 1 2 0 4 -1 1 -1 0 -1 0 1 0] [-1 -1 -1 0 -1 0 -1 -1 -1 -1 0 -1 -1 -1 4 -1 0 0 2 0 0 0] [-1 2 1 0 -2 0 1 0 1 0 0 1 0 1 -1 4 0 0 0 0 0 1] [-1 -1 -1 1 1 0 -1 -2 1 2 0 -1 0 -1 0 0 4 0 0 0 0 1] [-1 -1 -2 -1 -1 -2 0 1 1 0 -2 -1 -1 0 0 0 0 4 1 -2 1 0] [-1 0 0 0 -2 -1 -1 0 -1 1 -1 -1 0 -1 2 0 0 1 4 -1 0 0] [ 1 1 2 1 1 2 0 -1 -1 0 2 0 1 0 0 0 0 -2 -1 4 0 0] [-1 0 -1 0 0 0 0 1 0 -1 -1 1 -1 1 0 0 0 1 0 0 4 0] [-1 1 -1 1 0 0 0 1 3 0 0 0 1 0 0 1 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 70. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 2 0 0 0 -1 0 1 1 0 0 2 1 0 1 0 0 -1] [ 0 4 0 0 -2 -1 0 0 1 -1 -1 1 2 0 0 -1 -1 0 -1 0 0 0] [ 0 0 4 -2 -1 2 -1 2 -2 -1 1 1 2 -2 1 -1 1 -1 1 -2 -1 1] [ 0 0 -2 4 -1 -1 2 -2 0 1 0 -2 -2 2 -1 0 -2 2 -2 2 1 0] [ 1 -2 -1 -1 6 -1 -2 1 0 -1 1 1 1 -1 -1 2 2 -2 2 -1 1 -2] [ 2 -1 2 -1 -1 6 1 1 -2 0 0 0 1 -1 2 0 2 1 2 -1 -2 0] [ 0 0 -1 2 -2 1 4 -1 0 2 0 -1 -1 1 1 0 -1 1 -1 1 -1 0] [ 0 0 2 -2 1 1 -1 4 0 0 1 2 3 -2 1 0 2 -1 2 -2 -1 -1] [ 0 1 -2 0 0 -2 0 0 4 0 0 1 0 0 0 1 0 0 0 0 0 0] [-1 -1 -1 1 -1 0 2 0 0 4 -1 -1 -2 1 1 -1 0 1 -1 1 -1 0] [ 0 -1 1 0 1 0 0 1 0 -1 4 1 0 -1 -1 0 1 0 0 -1 1 1] [ 1 1 1 -2 1 0 -1 2 1 -1 1 4 3 -2 1 1 2 -2 1 -2 -1 -1] [ 1 2 2 -2 1 1 -1 3 0 -2 0 3 6 -2 1 1 1 -2 2 -2 -1 -2] [ 0 0 -2 2 -1 -1 1 -2 0 1 -1 -2 -2 4 -2 0 -2 2 -2 2 1 0] [ 0 0 1 -1 -1 2 1 1 0 1 -1 1 1 -2 4 0 1 -1 1 -1 -2 0] [ 2 -1 -1 0 2 0 0 0 1 -1 0 1 1 0 0 4 1 -1 1 0 0 -1] [ 1 -1 1 -2 2 2 -1 2 0 0 1 2 1 -2 1 1 4 -1 2 -2 -1 0] [ 0 0 -1 2 -2 1 1 -1 0 1 0 -2 -2 2 -1 -1 -1 4 -1 2 1 1] [ 1 -1 1 -2 2 2 -1 2 0 -1 0 1 2 -2 1 1 2 -1 4 -2 -1 -1] [ 0 0 -2 2 -1 -1 1 -2 0 1 -1 -2 -2 2 -1 0 -2 2 -2 4 2 0] [ 0 0 -1 1 1 -2 -1 -1 0 -1 1 -1 -1 1 -2 0 -1 1 -1 2 4 0] [-1 0 1 0 -2 0 0 -1 0 0 1 -1 -2 0 0 -1 0 1 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 71. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 1 1 1 -2 1 1 -2 -2 2 0 2 0 1 0 2 -2 -2 0 -1] [ 2 4 1 -1 1 -1 -2 0 1 -2 -1 0 0 0 0 -1 1 1 -1 -1 1 0] [-1 1 4 -2 0 -2 0 0 0 -1 2 -1 1 -1 -1 -2 0 -2 -1 2 1 2] [ 1 -1 -2 4 -1 1 0 -1 0 -1 -2 1 -1 1 1 2 -1 2 1 -2 0 -2] [ 1 1 0 -1 4 0 0 1 0 1 1 1 1 1 -1 1 2 -1 0 1 1 0] [ 1 -1 -2 1 0 4 1 1 1 0 -2 2 -1 2 1 2 1 2 1 -2 -1 -1] [-2 -2 0 0 0 1 4 -1 0 2 1 0 -1 0 1 1 0 -1 1 1 -1 0] [ 1 0 0 -1 1 1 -1 4 1 1 1 1 1 1 -1 0 0 -1 0 1 1 0] [ 1 1 0 0 0 1 0 1 4 0 -2 0 1 0 -1 0 1 2 -1 -2 1 1] [-2 -2 -1 -1 1 0 2 1 0 6 1 -1 1 -1 -1 0 1 -1 2 1 0 0] [-2 -1 2 -2 1 -2 1 1 -2 1 6 -1 1 0 0 -1 -1 -4 0 4 0 1] [ 2 0 -1 1 1 2 0 1 0 -1 -1 4 -1 2 0 2 0 0 -1 -1 0 -1] [ 0 0 1 -1 1 -1 -1 1 1 1 1 -1 4 -1 -1 -1 1 -1 0 1 1 2] [ 2 0 -1 1 1 2 0 1 0 -1 0 2 -1 4 0 2 0 1 -1 -1 0 -1] [ 0 0 -1 1 -1 1 1 -1 -1 -1 0 0 -1 0 4 0 -1 0 2 0 -2 -1] [ 1 -1 -2 2 1 2 1 0 0 0 -1 2 -1 2 0 4 1 1 0 -1 0 -1] [ 0 1 0 -1 2 1 0 0 1 1 -1 0 1 0 -1 1 4 1 1 -1 1 1] [ 2 1 -2 2 -1 2 -1 -1 2 -1 -4 0 -1 1 0 1 1 6 0 -4 0 -1] [-2 -1 -1 1 0 1 1 0 -1 2 0 -1 0 -1 2 0 1 0 6 0 0 -1] [-2 -1 2 -2 1 -2 1 1 -2 1 4 -1 1 -1 0 -1 -1 -4 0 6 1 1] [ 0 1 1 0 1 -1 -1 1 1 0 0 0 1 0 -2 0 1 0 0 1 4 0] [-1 0 2 -2 0 -1 0 0 1 0 1 -1 2 -1 -1 -1 1 -1 -1 1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 72. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 0 -2 0 1 -1 -2 1 0 -2 -1 -1 -1 -1 1 2 1 -2 0 1] [-2 4 -1 1 2 1 0 2 2 0 -1 2 0 0 1 -1 1 -2 -2 2 0 0] [ 1 -1 4 1 0 1 -1 -1 1 1 -1 0 -1 -1 -1 0 0 0 0 0 1 0] [ 0 1 1 4 1 2 1 -1 2 -1 -1 1 -2 -2 -1 -1 2 -1 0 1 0 1] [-2 2 0 1 4 0 -1 0 2 -1 -1 2 0 0 0 1 0 -2 -2 2 1 -1] [ 0 1 1 2 0 4 0 0 0 0 -1 1 0 0 0 -2 1 -1 0 1 -1 0] [ 1 0 -1 1 -1 0 4 0 1 0 -1 0 -1 -1 1 -1 2 0 0 0 -1 2] [-1 2 -1 -1 0 0 0 4 1 0 0 1 0 0 2 -1 1 -1 -1 1 0 1] [-2 2 1 2 2 0 1 1 6 0 -2 2 -1 -1 1 1 1 -2 -2 2 0 2] [ 1 0 1 -1 -1 0 0 0 0 4 -1 0 1 1 -1 0 -1 0 -1 0 1 0] [ 0 -1 -1 -1 -1 -1 -1 0 -2 -1 4 -2 0 0 -1 0 0 2 2 -2 0 -1] [-2 2 0 1 2 1 0 1 2 0 -2 4 0 1 1 0 0 -2 -2 2 0 0] [-1 0 -1 -2 0 0 -1 0 -1 1 0 0 4 2 0 1 -2 -1 -1 0 0 -1] [-1 0 -1 -2 0 0 -1 0 -1 1 0 1 2 4 0 1 -2 0 -1 0 0 -1] [-1 1 -1 -1 0 0 1 2 1 -1 -1 1 0 0 4 -1 0 -1 0 1 -2 1] [-1 -1 0 -1 1 -2 -1 -1 1 0 0 0 1 1 -1 4 -1 0 -1 0 1 0] [ 1 1 0 2 0 1 2 1 1 -1 0 0 -2 -2 0 -1 4 0 0 0 0 2] [ 2 -2 0 -1 -2 -1 0 -1 -2 0 2 -2 -1 0 -1 0 0 4 2 -2 0 0] [ 1 -2 0 0 -2 0 0 -1 -2 -1 2 -2 -1 -1 0 -1 0 2 4 -2 -1 0] [-2 2 0 1 2 1 0 1 2 0 -2 2 0 0 1 0 0 -2 -2 4 1 0] [ 0 0 1 0 1 -1 -1 0 0 1 0 0 0 0 -2 1 0 0 -1 1 4 -1] [ 1 0 0 1 -1 0 2 1 2 0 -1 0 -1 -1 1 0 2 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 73. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 1 1 2 1 -1 1 -1 -2 2 -1 -1 -1 -1 -1 1 -1 -1] [ 1 4 -2 0 -1 -1 2 1 0 -1 2 -2 0 1 -2 -1 0 -2 -2 2 1 0] [-1 -2 4 1 2 0 -2 0 -1 0 -2 1 0 -1 0 1 -1 2 1 -2 1 1] [ 1 0 1 6 -2 -1 0 2 -1 2 0 -1 -1 0 -3 1 -3 0 0 0 -2 0] [-2 -1 2 -2 6 -1 0 -1 1 0 0 2 2 0 3 2 2 0 0 0 3 2] [ 1 -1 0 -1 -1 4 -1 0 -1 0 -1 0 0 1 1 -1 1 1 1 -1 -2 -2] [ 1 2 -2 0 0 -1 4 0 1 -1 2 0 0 1 -1 -1 0 -2 -2 2 0 1] [ 2 1 0 2 -1 0 0 4 1 0 1 0 0 2 -1 0 -2 -1 0 1 0 0] [ 1 0 -1 -1 1 -1 1 1 4 0 2 1 0 1 2 1 0 -2 -1 2 1 0] [-1 -1 0 2 0 0 -1 0 0 4 0 0 1 0 1 2 0 0 1 0 -2 0] [ 1 2 -2 0 0 -1 2 1 2 0 4 0 0 2 0 0 0 -2 -2 2 0 0] [-1 -2 1 -1 2 0 0 0 1 0 0 4 1 0 1 0 0 0 0 0 0 1] [-2 0 0 -1 2 0 0 0 0 1 0 1 4 0 1 1 1 -1 0 0 1 1] [ 2 1 -1 0 0 1 1 2 1 0 2 0 0 4 0 0 0 -1 -1 1 0 0] [-1 -2 0 -3 3 1 -1 -1 2 1 0 1 1 0 6 1 2 0 2 0 0 0] [-1 -1 1 1 2 -1 -1 0 1 2 0 0 1 0 1 4 1 0 0 0 1 1] [-1 0 -1 -3 2 1 0 -2 0 0 0 0 1 0 2 1 4 0 0 0 1 0] [-1 -2 2 0 0 1 -2 -1 -2 0 -2 0 -1 -1 0 0 0 4 2 -2 0 0] [-1 -2 1 0 0 1 -2 0 -1 1 -2 0 0 -1 2 0 0 2 4 -2 -1 0] [ 1 2 -2 0 0 -1 2 1 2 0 2 0 0 1 0 0 0 -2 -2 4 1 0] [-1 1 1 -2 3 -2 0 0 1 -2 0 0 1 0 0 1 1 0 -1 1 6 1] [-1 0 1 0 2 -2 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 74. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 -1 0 -2 2 -1 0 -1 1 1 -1 2 -1 2 -1 -2 0 0] [-2 4 2 1 -1 -1 0 2 -2 2 -1 1 1 -2 2 -1 1 0 0 0 1 -1] [-2 2 4 1 0 -1 -1 2 -1 0 0 1 1 -1 1 -2 1 -1 1 1 0 -1] [ 0 1 1 4 -2 0 0 1 1 1 0 2 2 1 -1 0 0 1 -1 -1 0 -1] [-1 -1 0 -2 6 2 1 0 -1 -3 1 0 -2 0 -1 -2 2 -2 1 2 0 -1] [-1 -1 -1 0 2 6 -1 -1 -1 -1 1 1 0 1 0 1 2 -1 2 1 -2 0] [ 0 0 -1 0 1 -1 4 0 0 1 1 0 -1 -1 -1 -1 0 0 -2 0 1 0] [-2 2 2 1 0 -1 0 4 0 0 0 2 0 -1 0 -2 0 0 0 0 0 0] [ 2 -2 -1 1 -1 -1 0 0 4 -1 1 0 0 1 -2 0 -2 2 -1 -2 -1 1] [-1 2 0 1 -3 -1 1 0 -1 6 -2 0 1 0 2 1 -1 1 -2 -1 0 -1] [ 0 -1 0 0 1 1 1 0 1 -2 4 0 -1 -1 -1 -1 0 -1 0 0 0 1] [-1 1 1 2 0 1 0 2 0 0 0 4 0 1 0 -1 0 0 0 0 0 0] [ 1 1 1 2 -2 0 -1 0 0 1 -1 0 4 0 0 1 1 1 0 -1 -1 -1] [ 1 -2 -1 1 0 1 -1 -1 1 0 -1 1 0 4 -1 1 -1 0 0 0 -1 0] [-1 2 1 -1 -1 0 -1 0 -2 2 -1 0 0 -1 4 0 0 0 1 0 0 0] [ 2 -1 -2 0 -2 1 -1 -2 0 1 -1 -1 1 1 0 4 0 1 0 -1 0 0] [-1 1 1 0 2 2 0 0 -2 -1 0 0 1 -1 0 0 4 -1 1 1 0 -1] [ 2 0 -1 1 -2 -1 0 0 2 1 -1 0 1 0 0 1 -1 4 -1 -2 0 0] [-1 0 1 -1 1 2 -2 0 -1 -2 0 0 0 0 1 0 1 -1 4 1 -1 1] [-2 0 1 -1 2 1 0 0 -2 -1 0 0 -1 0 0 -1 1 -2 1 4 1 0] [ 0 1 0 0 0 -2 1 0 -1 0 0 0 -1 -1 0 0 0 0 -1 1 4 -1] [ 0 -1 -1 -1 -1 0 0 0 1 -1 1 0 -1 0 0 0 -1 0 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 75. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -2 0 0 -2 -1 -2 0 1 -2 -1 -1 -2 -1 1 2 -1 -2 0 2] [ 1 6 0 -3 2 -2 -1 -1 -2 2 2 0 0 0 1 0 -2 0 -2 0 2 3] [-2 0 6 3 2 -2 2 -1 1 2 -1 1 -1 -1 1 -1 -2 -1 0 1 1 -2] [-2 -3 3 6 -1 1 2 -1 1 -1 -1 2 1 1 1 1 1 -2 2 2 0 -4] [ 0 2 2 -1 4 -2 0 -1 -1 2 1 0 0 0 0 0 -2 0 -1 0 0 0] [ 0 -2 -2 1 -2 4 -1 0 1 -2 -1 0 0 0 -1 1 2 0 2 0 -1 0] [-2 -1 2 2 0 -1 4 0 1 1 -1 2 1 1 2 0 -1 -2 0 2 0 -3] [-1 -1 -1 -1 -1 0 0 4 2 -1 0 0 0 0 1 -1 1 0 1 0 0 0] [-2 -2 1 1 -1 1 1 2 4 0 -1 0 0 0 1 0 0 0 2 0 0 -1] [ 0 2 2 -1 2 -2 1 -1 0 4 0 0 0 0 1 0 -2 0 -1 0 0 1] [ 1 2 -1 -1 1 -1 -1 0 -1 0 4 -1 1 1 0 0 -1 1 0 -1 0 1] [-2 0 1 2 0 0 2 0 0 0 -1 4 1 2 2 1 0 -2 0 2 0 -2] [-1 0 -1 1 0 0 1 0 0 0 1 1 4 2 1 2 0 -2 0 1 0 -1] [-1 0 -1 1 0 0 1 0 0 0 1 2 2 4 1 2 0 -1 0 1 0 -1] [-2 1 1 1 0 -1 2 1 1 1 0 2 1 1 4 0 -1 -2 1 2 0 -1] [-1 0 -1 1 0 1 0 -1 0 0 0 1 2 2 0 4 1 -1 0 1 0 0] [ 1 -2 -2 1 -2 2 -1 1 0 -2 -1 0 0 0 -1 1 4 0 1 0 0 0] [ 2 0 -1 -2 0 0 -2 0 0 0 1 -2 -2 -1 -2 -1 0 4 0 -2 0 2] [-1 -2 0 2 -1 2 0 1 2 -1 0 0 0 0 1 0 1 0 4 0 -1 -1] [-2 0 1 2 0 0 2 0 0 0 -1 2 1 1 2 1 0 -2 0 4 1 -2] [ 0 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 4 0] [ 2 3 -2 -4 0 0 -3 0 -1 1 1 -2 -1 -1 -1 0 0 2 -1 -2 0 6] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 76. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 0 -1 -2 1 -1 -1 -1 -1 1 1 0 -1 1 -1 -1 -1 1 1 1] [-1 4 -1 1 2 1 0 0 1 -1 1 0 0 -1 2 -1 0 1 1 -1 0 -1] [ 0 -1 4 -2 1 0 0 0 0 2 -1 1 1 1 0 -1 0 1 -2 -1 0 1] [ 0 1 -2 4 -1 -1 0 -1 -1 -1 2 1 -1 -1 1 0 0 0 0 0 0 0] [-1 2 1 -1 4 2 0 1 2 0 -1 -1 0 0 0 -2 0 2 1 -2 0 -1] [-2 1 0 -1 2 4 -1 2 1 1 0 -1 -1 1 -1 0 1 0 1 0 -1 0] [ 1 0 0 0 0 -1 4 1 0 -1 0 0 2 -2 0 0 1 -1 0 0 -1 0] [-1 0 0 -1 1 2 1 4 0 0 -1 0 0 -1 0 0 2 0 1 0 -2 0] [-1 1 0 -1 2 1 0 0 4 0 0 -2 -1 1 0 -1 0 1 1 -1 0 0] [-1 -1 2 -1 0 1 -1 0 0 4 -1 1 0 1 0 -1 1 1 -2 -1 -1 0] [-1 1 -1 2 -1 0 0 -1 0 -1 4 0 -1 0 1 1 0 -1 0 1 0 1] [ 1 0 1 1 -1 -1 0 0 -2 1 0 4 0 0 1 0 0 0 -2 0 0 1] [ 1 0 1 -1 0 -1 2 0 -1 0 -1 0 4 -2 0 0 1 0 0 0 -1 -1] [ 0 -1 1 -1 0 1 -2 -1 1 1 0 0 -2 4 -1 0 -1 0 -1 0 1 2] [-1 2 0 1 0 -1 0 0 0 0 1 1 0 -1 4 -1 0 1 0 -1 0 0] [ 1 -1 -1 0 -2 0 0 0 -1 -1 1 0 0 0 -1 4 -1 -2 0 2 0 1] [-1 0 0 0 0 1 1 2 0 1 0 0 1 -1 0 -1 4 0 0 0 -2 0] [-1 1 1 0 2 0 -1 0 1 1 -1 0 0 0 1 -2 0 4 0 -2 0 -1] [-1 1 -2 0 1 1 0 1 1 -2 0 -2 0 -1 0 0 0 0 4 0 0 -1] [ 1 -1 -1 0 -2 0 0 0 -1 -1 1 0 0 0 -1 2 0 -2 0 4 1 1] [ 1 0 0 0 0 -1 -1 -2 0 -1 0 0 -1 1 0 0 -2 0 0 1 4 0] [ 1 -1 1 0 -1 0 0 0 0 0 1 1 -1 2 0 1 0 -1 -1 1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 77. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 -2 0 1 1 2 -1 -2 -2 -1 -1 1 -1 2 2 -1 -2 2 1] [ 1 6 -3 3 1 1 0 -1 3 -2 -1 1 2 2 -1 -1 -1 -1 1 1 -1 2] [-2 -3 6 -4 0 -2 -2 -1 -4 1 2 1 -1 -1 1 0 -1 -1 0 1 -2 0] [ 2 3 -4 6 -1 0 2 1 4 -2 -2 -1 1 1 0 1 1 1 -1 -1 0 2] [-2 1 0 -1 4 1 0 -2 0 1 1 1 2 2 0 -1 -1 -1 2 1 -2 -1] [ 0 1 -2 0 1 4 -1 -1 0 1 -1 0 0 0 -1 0 -1 0 2 0 1 0] [ 1 0 -2 2 0 -1 4 2 1 -1 -1 -1 1 1 1 0 1 1 -1 -1 1 -1] [ 1 -1 -1 1 -2 -1 2 4 0 -1 -1 0 0 0 1 0 1 0 -2 0 1 -1] [ 2 3 -4 4 0 0 1 0 6 -1 -1 -1 1 1 0 0 2 1 0 -1 0 1] [-1 -2 1 -2 1 1 -1 -1 -1 4 1 0 0 0 1 1 -1 0 1 0 1 -1] [-2 -1 2 -2 1 -1 -1 -1 -1 1 4 0 0 0 -1 0 0 0 1 0 -1 -1] [-2 1 1 -1 1 0 -1 0 -1 0 0 4 1 2 0 0 -2 -2 0 2 -2 0] [-1 2 -1 1 2 0 1 0 1 0 0 1 4 2 0 0 -1 -2 0 1 -1 0] [-1 2 -1 1 2 0 1 0 1 0 0 2 2 4 0 0 -1 -1 0 1 -1 0] [ 1 -1 1 0 0 -1 1 1 0 1 -1 0 0 0 4 -1 0 0 0 0 -1 0] [-1 -1 0 1 -1 0 0 0 0 1 0 0 0 0 -1 4 0 0 -1 0 1 1] [ 2 -1 -1 1 -1 -1 1 1 2 -1 0 -2 -1 -1 0 0 4 2 -1 -2 1 0] [ 2 -1 -1 1 -1 0 1 0 1 0 0 -2 -2 -1 0 0 2 4 0 -2 2 0] [-1 1 0 -1 2 2 -1 -2 0 1 1 0 0 0 0 -1 -1 0 4 0 -1 0] [-2 1 1 -1 1 0 -1 0 -1 0 0 2 1 1 0 0 -2 -2 0 4 -1 0] [ 2 -1 -2 0 -2 1 1 1 0 1 -1 -2 -1 -1 -1 1 1 2 -1 -1 6 -1] [ 1 2 0 2 -1 0 -1 -1 1 -1 -1 0 0 0 0 1 0 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 78. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 0 -1 -1 -1 0 -1 1 1 1 1 1 0 -1 0 -2 0 -1 1 1] [-2 4 1 0 0 -1 1 -1 -1 -2 -1 0 -1 -1 0 1 1 2 -1 1 -1 1] [-1 1 4 1 -1 0 -1 1 0 1 0 1 -1 1 -1 1 -1 0 -1 0 0 0] [ 0 0 1 4 -1 -1 1 1 1 0 0 1 1 0 1 2 -2 -1 1 0 0 0] [-1 0 -1 -1 4 2 1 1 1 1 1 -2 1 -1 1 0 1 1 0 -1 1 -1] [-1 -1 0 -1 2 4 0 0 2 2 0 -1 0 0 -1 -1 0 1 -1 -1 0 -1] [-1 1 -1 1 1 0 4 1 1 -2 -1 -1 0 -2 1 1 1 1 1 1 -1 -1] [ 0 -1 1 1 1 0 1 4 0 1 1 -1 1 -1 0 1 -1 -1 1 0 1 -2] [-1 -1 0 1 1 2 1 0 4 0 0 -1 0 0 0 1 -1 1 1 -1 0 -1] [ 1 -2 1 0 1 2 -2 1 0 6 1 0 2 2 0 0 0 -2 -2 -1 1 0] [ 1 -1 0 0 1 0 -1 1 0 1 4 -1 0 1 -1 0 0 0 1 0 1 -1] [ 1 0 1 1 -2 -1 -1 -1 -1 0 -1 4 -1 0 0 0 -1 -1 -1 -1 -1 1] [ 1 -1 -1 1 1 0 0 1 0 2 0 -1 4 0 2 0 0 -1 0 0 2 1] [ 1 -1 1 0 -1 0 -2 -1 0 2 1 0 0 4 -1 0 0 -1 -1 0 1 1] [ 0 0 -1 1 1 -1 1 0 0 0 -1 0 2 -1 4 0 0 -1 1 0 0 1] [-1 1 1 2 0 -1 1 1 1 0 0 0 0 0 0 4 0 0 0 0 0 0] [ 0 1 -1 -2 1 0 1 -1 -1 0 0 -1 0 0 0 0 4 1 -1 1 0 1] [-2 2 0 -1 1 1 1 -1 1 -2 0 -1 -1 -1 -1 0 1 4 0 1 0 0] [ 0 -1 -1 1 0 -1 1 1 1 -2 1 -1 0 -1 1 0 -1 0 4 0 0 -1] [-1 1 0 0 -1 -1 1 0 -1 -1 0 -1 0 0 0 0 1 1 0 4 0 0] [ 1 -1 0 0 1 0 -1 1 0 1 1 -1 2 1 0 0 0 0 0 0 4 0] [ 1 1 0 0 -1 -1 -1 -2 -1 0 -1 1 1 1 1 0 1 0 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 79. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 0 2 0 -2 1 1 -2 2 -1 -1 -2 -2 1 2 1 -2 -2 -1] [ 1 4 1 1 -1 2 1 -1 1 -1 0 0 -1 -1 0 1 -1 0 1 0 1 -2] [ 0 1 4 2 -2 1 1 1 1 -1 1 1 -2 -2 1 2 1 -1 -1 1 2 -1] [-2 1 2 6 0 -1 -1 2 -1 -2 2 1 -1 -1 1 3 0 -2 -1 2 2 1] [ 0 -1 -2 0 4 0 -2 -1 0 1 0 1 2 2 -1 -2 0 0 -1 0 0 1] [ 2 2 1 -1 0 4 1 -1 1 1 0 1 -1 -1 -1 0 1 0 1 0 0 -2] [ 0 1 1 -1 -2 1 4 1 1 -1 0 -2 -1 -1 1 0 1 0 0 0 0 -2] [-2 -1 1 2 -1 -1 1 4 -1 -1 2 -1 0 0 2 1 1 -2 -1 2 0 0] [ 1 1 1 -1 0 1 1 -1 4 0 -1 1 0 0 0 -1 -1 1 0 -1 0 -1] [ 1 -1 -1 -2 1 1 -1 -1 0 4 0 0 1 1 0 0 0 0 1 0 -2 1] [-2 0 1 2 0 0 0 2 -1 0 4 0 0 1 2 2 0 -2 -1 2 1 0] [ 2 0 1 1 1 1 -2 -1 1 0 0 6 -1 -1 -1 0 0 0 0 0 0 0] [-1 -1 -2 -1 2 -1 -1 0 0 1 0 -1 4 2 0 -1 -1 -1 -1 0 0 1] [-1 -1 -2 -1 2 -1 -1 0 0 1 1 -1 2 4 0 -1 -1 0 -1 0 0 1] [-2 0 1 1 -1 -1 1 2 0 0 2 -1 0 0 4 1 -1 -2 0 2 0 0] [-2 1 2 3 -2 0 0 1 -1 0 2 0 -1 -1 1 6 0 -2 0 2 2 1] [ 1 -1 1 0 0 1 1 1 -1 0 0 0 -1 -1 -1 0 4 0 -1 0 0 0] [ 2 0 -1 -2 0 0 0 -2 1 0 -2 0 -1 0 -2 -2 0 4 1 -2 -1 0] [ 1 1 -1 -1 -1 1 0 -1 0 1 -1 0 -1 -1 0 0 -1 1 4 -1 -2 0] [-2 0 1 2 0 0 0 2 -1 0 2 0 0 0 2 2 0 -2 -1 4 2 0] [-2 1 2 2 0 0 0 0 0 -2 1 0 0 0 0 2 0 -1 -2 2 6 -1] [-1 -2 -1 1 1 -2 -2 0 -1 1 0 0 1 1 0 1 0 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 80. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 0 2 1 1 2 1 1 2 1 -2 -1 -2 1 0 1 0 -1 1] [-1 4 -1 -1 -1 0 -2 -1 1 -2 -2 0 -2 2 -1 0 -2 1 1 -1 2 1] [ 0 -1 4 1 2 1 1 2 -2 2 2 1 1 0 2 0 1 -1 0 1 -1 0] [ 2 -1 1 4 0 2 0 0 0 2 2 2 0 -1 0 0 0 -1 1 1 0 1] [ 0 -1 2 0 4 0 2 1 -2 2 1 0 2 -1 2 -1 1 -1 1 1 -2 -1] [ 2 0 1 2 0 4 -1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 1] [ 1 -2 1 0 2 -1 4 1 0 1 2 0 2 -2 1 -1 1 -1 0 1 -2 0] [ 1 -1 2 0 1 1 1 4 -1 0 0 1 1 -1 1 0 2 -1 0 1 -1 1] [ 2 1 -2 0 -2 0 0 -1 6 -2 1 0 0 0 -2 -2 -2 2 1 -2 0 1] [ 1 -2 2 2 2 0 1 0 -2 6 3 1 2 -2 2 0 1 -2 0 2 -2 0] [ 1 -2 2 2 1 0 2 0 1 3 6 0 2 -1 1 -1 0 0 1 0 -2 0] [ 2 0 1 2 0 2 0 1 0 1 0 4 -1 0 0 0 0 0 0 0 0 1] [ 1 -2 1 0 2 0 2 1 0 2 2 -1 4 -2 1 -1 1 -1 0 1 -2 0] [-2 2 0 -1 -1 0 -2 -1 0 -2 -1 0 -2 4 0 1 -2 2 0 -2 2 -1] [-1 -1 2 0 2 0 1 1 -2 2 1 0 1 0 4 1 0 -2 -1 1 -1 0] [-2 0 0 0 -1 0 -1 0 -2 0 -1 0 -1 1 1 4 0 -1 -2 1 1 1] [ 1 -2 1 0 1 0 1 2 -2 1 0 0 1 -2 0 0 4 -1 0 1 -1 0] [ 0 1 -1 -1 -1 0 -1 -1 2 -2 0 0 -1 2 -2 -1 -1 4 1 -2 1 -1] [ 1 1 0 1 1 0 0 0 1 0 1 0 0 0 -1 -2 0 1 4 -1 0 0] [ 0 -1 1 1 1 0 1 1 -2 2 0 0 1 -2 1 1 1 -2 -1 4 0 1] [-1 2 -1 0 -2 0 -2 -1 0 -2 -2 0 -2 2 -1 1 -1 1 0 0 4 0] [ 1 1 0 1 -1 1 0 1 1 0 0 1 0 -1 0 1 0 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 81. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 -1 -2 1 1 0 -1 -2 0 0 0 0 1 2 -2 1 -2 2 1] [ 2 4 1 0 -2 -2 0 0 0 -1 -2 -1 1 -1 -1 0 2 0 0 -2 1 1] [ 1 1 4 -1 0 0 2 -1 1 0 0 -2 1 -2 -1 0 2 -1 0 0 -1 2] [-1 0 -1 4 -1 1 0 0 1 -1 1 1 1 1 -1 1 -2 0 1 1 1 0] [-1 -2 0 -1 4 0 0 -1 -1 1 0 0 0 0 0 1 -1 1 -1 0 -2 0] [-2 -2 0 1 0 4 1 0 1 1 2 0 -1 0 1 -1 -1 0 1 2 -1 0] [ 1 0 2 0 0 1 4 1 1 -1 0 0 1 0 -1 1 1 -1 2 0 1 2] [ 1 0 -1 0 -1 0 1 4 -1 -1 0 2 -1 2 1 0 1 -1 1 0 3 1] [ 0 0 1 1 -1 1 1 -1 4 -1 1 0 0 0 0 0 0 -1 1 1 -1 1] [-1 -1 0 -1 1 1 -1 -1 -1 4 1 -1 -1 -1 1 -2 0 0 -1 1 -1 -1] [-2 -2 0 1 0 2 0 0 1 1 4 0 0 1 1 -1 -1 0 0 2 -1 0] [ 0 -1 -2 1 0 0 0 2 0 -1 0 4 -1 2 0 1 -1 -1 0 0 2 0] [ 0 1 1 1 0 -1 1 -1 0 -1 0 -1 4 -1 -1 1 0 0 1 0 0 1] [ 0 -1 -2 1 0 0 0 2 0 -1 1 2 -1 4 0 1 -1 0 0 0 2 0] [ 0 -1 -1 -1 0 1 -1 1 0 1 1 0 -1 0 4 -2 0 -1 1 1 -1 0] [ 1 0 0 1 1 -1 1 0 0 -2 -1 1 1 1 -2 4 0 0 0 -1 1 1] [ 2 2 2 -2 -1 -1 1 1 0 0 -1 -1 0 -1 0 0 4 -1 0 -1 1 2] [-2 0 -1 0 1 0 -1 -1 -1 0 0 -1 0 0 -1 0 -1 4 -1 0 -1 -1] [ 1 0 0 1 -1 1 2 1 1 -1 0 0 1 0 1 0 0 -1 4 0 1 1] [-2 -2 0 1 0 2 0 0 1 1 2 0 0 0 1 -1 -1 0 0 4 0 0] [ 2 1 -1 1 -2 -1 1 3 -1 -1 -1 2 0 2 -1 1 1 -1 1 0 6 0] [ 1 1 2 0 0 0 2 1 1 -1 0 0 1 0 0 1 2 -1 1 0 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 82. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 2 0 -1 -1 -1 0 -1 -1 1 -1 -1 -2 1 1 1 -1 1 -2] [-2 4 -1 -1 -1 0 1 0 0 1 0 0 -1 0 1 1 1 0 -1 0 -1 2] [ 0 -1 4 1 -1 -1 1 -1 2 0 -1 2 -1 2 1 0 -2 1 -1 -1 -1 0] [ 1 -1 1 4 0 1 0 -2 1 1 -2 1 0 1 0 -2 0 2 0 -2 0 -1] [ 2 -1 -1 0 4 -1 -1 0 -1 -1 0 -1 0 -1 0 0 0 0 0 0 0 -2] [ 0 0 -1 1 -1 4 -1 -1 1 1 -1 1 1 1 -1 0 2 1 0 -1 1 -1] [-1 1 1 0 -1 -1 4 -1 0 1 -1 0 -2 0 2 0 0 1 0 -1 -2 1] [-1 0 -1 -2 0 -1 -1 4 0 -2 2 -1 1 -1 -1 1 -1 -2 0 2 0 1] [-1 0 2 1 -1 1 0 0 4 0 -1 2 -1 2 1 1 -1 1 -2 -1 0 0] [ 0 1 0 1 -1 1 1 -2 0 4 -2 0 0 0 0 -1 2 2 1 -2 0 0] [-1 0 -1 -2 0 -1 -1 2 -1 -2 4 -1 1 0 0 1 -1 -2 0 2 0 1] [-1 0 2 1 -1 1 0 -1 2 0 -1 4 -1 2 0 1 -1 0 -2 -1 0 0] [ 1 -1 -1 0 0 1 -2 1 -1 0 1 -1 4 -1 -1 -1 1 -1 2 1 1 0] [-1 0 2 1 -1 1 0 -1 2 0 0 2 -1 4 0 1 -1 1 -2 -1 0 0] [-1 1 1 0 0 -1 2 -1 1 0 0 0 -1 0 4 0 -1 0 0 0 -2 1] [-2 1 0 -2 0 0 0 1 1 -1 1 1 -1 1 0 4 0 -1 -2 1 0 1] [ 1 1 -2 0 0 2 0 -1 -1 2 -1 -1 1 -1 -1 0 4 1 1 -1 1 0] [ 1 0 1 2 0 1 1 -2 1 2 -2 0 -1 1 0 -1 1 4 0 -2 0 -1] [ 1 -1 -1 0 0 0 0 0 -2 1 0 -2 2 -2 0 -2 1 0 4 0 0 0] [-1 0 -1 -2 0 -1 -1 2 -1 -2 2 -1 1 -1 0 1 -1 -2 0 4 1 1] [ 1 -1 -1 0 0 1 -2 0 0 0 0 0 1 0 -2 0 1 0 0 1 4 -1] [-2 2 0 -1 -2 -1 1 1 0 0 1 0 0 0 1 1 0 -1 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 83. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 1 -1 0 1 1 0 -2 2 0 -2 0 1 2 -2 0 -2 0 0] [ 2 4 -2 -1 -1 1 1 0 1 1 -2 1 -1 -1 1 0 0 0 1 -2 -1 0] [-2 -2 4 1 1 1 -1 -1 0 -1 2 -2 0 0 0 -1 -1 0 0 2 0 1] [-2 -1 1 6 -3 1 0 -2 -1 1 1 1 -2 3 2 2 -2 1 1 1 1 -1] [ 1 -1 1 -3 6 -2 0 1 -1 -2 1 -2 1 -3 -1 -1 1 -2 -2 1 1 2] [-1 1 1 1 -2 4 1 0 0 1 1 -1 0 0 0 -1 -2 0 2 1 -1 1] [ 0 1 -1 0 0 1 4 -1 -2 0 0 1 1 1 -1 0 -1 0 0 0 1 0] [ 1 0 -1 -2 1 0 -1 4 1 1 0 0 0 -1 0 -1 0 -1 1 0 0 0] [ 1 1 0 -1 -1 0 -2 1 4 0 -1 1 -1 0 1 0 1 0 1 -1 -2 0] [ 0 1 -1 1 -2 1 0 1 0 4 -1 0 -1 0 1 1 -2 1 1 -1 0 0] [-2 -2 2 1 1 1 0 0 -1 -1 4 -2 1 1 0 -1 -1 0 0 2 0 1] [ 2 1 -2 1 -2 -1 1 0 1 0 -2 6 -1 2 0 2 1 -1 0 -2 1 -2] [ 0 -1 0 -2 1 0 1 0 -1 -1 1 -1 4 -1 -1 -1 1 -1 0 1 0 1] [-2 -1 0 3 -3 0 1 -1 0 0 1 2 -1 6 0 1 -1 2 0 0 1 -2] [ 0 1 0 2 -1 0 -1 0 1 1 0 0 -1 0 4 0 -1 0 2 0 -1 0] [ 1 0 -1 2 -1 -1 0 -1 0 1 -1 2 -1 1 0 4 1 0 -1 -1 1 0] [ 2 0 -1 -2 1 -2 -1 0 1 -2 -1 1 1 -1 -1 1 4 -1 -1 -1 0 0] [-2 0 0 1 -2 0 0 -1 0 1 0 -1 -1 2 0 0 -1 4 0 0 0 -1] [ 0 1 0 1 -2 2 0 1 1 1 0 0 0 0 2 -1 -1 0 4 0 -1 0] [-2 -2 2 1 1 1 0 0 -1 -1 2 -2 1 0 0 -1 -1 0 0 4 1 1] [ 0 -1 0 1 1 -1 1 0 -2 0 0 1 0 1 -1 1 0 0 -1 1 4 -1] [ 0 0 1 -1 2 1 0 0 0 0 1 -2 1 -2 0 0 0 -1 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 84. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 0 -2 -1 -1 2 -1 1 2 -1 -1 1 1 2 -1 1 -1 -1 0] [ 1 6 -3 0 -2 -2 -1 -3 1 2 -1 0 2 -3 2 0 1 -2 1 -3 -2 0] [-2 -3 6 0 2 1 -1 3 -1 -2 -1 -2 -1 0 -2 -2 -1 3 1 0 2 1] [ 1 0 0 4 -1 0 0 0 2 -2 1 2 -1 -2 0 0 -1 0 1 -2 0 1] [ 0 -2 2 -1 4 0 0 2 0 -1 0 0 -1 1 0 -1 0 0 1 1 0 -1] [-2 -2 1 0 0 4 2 1 -2 0 -1 -1 0 1 -1 -1 -2 1 -2 1 1 1] [-1 -1 -1 0 0 2 4 -1 -1 0 1 1 0 2 1 1 -1 -1 -1 2 -1 -1] [-1 -3 3 0 2 1 -1 4 0 -1 0 -1 -1 0 -2 -1 -1 2 0 0 2 0] [ 2 1 -1 2 0 -2 -1 0 4 -1 1 1 -1 -1 1 0 1 -1 2 -1 -1 0] [-1 2 -2 -2 -1 0 0 -1 -1 4 -1 -1 2 0 0 1 0 -1 -1 0 0 -1] [ 1 -1 -1 1 0 -1 1 0 1 -1 4 1 0 1 0 2 1 0 0 1 0 -2] [ 2 0 -2 2 0 -1 1 -1 1 -1 1 6 -2 -1 2 1 1 -1 1 -1 -2 0] [-1 2 -1 -1 -1 0 0 -1 -1 2 0 -2 4 -1 0 0 0 0 0 -1 0 -1] [-1 -3 0 -2 1 1 2 0 -1 0 1 -1 -1 6 -1 1 0 0 -2 4 0 -1] [ 1 2 -2 0 0 -1 1 -2 1 0 0 2 0 -1 4 0 1 -2 1 0 -2 0] [ 1 0 -2 0 -1 -1 1 -1 0 1 2 1 0 1 0 4 1 -1 -1 1 0 -1] [ 2 1 -1 -1 0 -2 -1 -1 1 0 1 1 0 0 1 1 4 0 1 0 -1 0] [-1 -2 3 0 0 1 -1 2 -1 -1 0 -1 0 0 -2 -1 0 4 0 0 2 1] [ 1 1 1 1 1 -2 -1 0 2 -1 0 1 0 -2 1 -1 1 0 4 -2 -1 0] [-1 -3 0 -2 1 1 2 0 -1 0 1 -1 -1 4 0 1 0 0 -2 6 1 -1] [-1 -2 2 0 0 1 -1 2 -1 0 0 -2 0 0 -2 0 -1 2 -1 1 4 0] [ 0 0 1 1 -1 1 -1 0 0 -1 -2 0 -1 -1 0 -1 0 1 0 -1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 85. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 2 2 1 2 0 2 -1 1 0 0 0 -2 -2 -2 1 0 1] [-2 4 -2 0 -1 0 -1 -1 -2 1 -2 1 0 0 1 -1 2 1 1 -1 -1 -1] [ 2 -2 4 -1 2 1 0 1 2 0 2 -1 1 0 0 1 -1 0 -2 0 0 0] [-1 0 -1 4 1 -2 1 1 1 -1 -1 2 1 -1 1 -1 -1 0 1 0 2 -1] [ 1 -1 2 1 4 -1 0 2 1 0 1 1 2 0 0 -1 -2 0 -1 0 0 0] [ 2 0 1 -2 -1 4 1 0 1 1 1 -2 0 1 1 1 1 -1 -2 1 0 1] [ 2 -1 0 1 0 1 4 1 1 -1 0 0 1 -1 0 -1 -2 -2 -1 0 1 1] [ 1 -1 1 1 2 0 1 4 2 1 1 1 1 1 -1 -1 -2 0 -1 1 0 1] [ 2 -2 2 1 1 1 1 2 6 1 2 -1 2 1 1 2 0 0 -2 1 2 -1] [ 0 1 0 -1 0 1 -1 1 1 4 0 0 1 1 0 1 2 0 0 0 -1 0] [ 2 -2 2 -1 1 1 0 1 2 0 4 -2 0 0 0 1 -1 0 -2 2 0 0] [-1 1 -1 2 1 -2 0 1 -1 0 -2 4 0 0 0 -2 -1 0 1 -1 0 0] [ 1 0 1 1 2 0 1 1 2 1 0 0 4 -1 0 0 -1 -1 0 0 1 0] [ 0 0 0 -1 0 1 -1 1 1 1 0 0 -1 4 0 0 1 1 -1 1 -1 1] [ 0 1 0 1 0 1 0 -1 1 0 0 0 0 0 4 0 2 0 -1 0 1 -1] [ 0 -1 1 -1 -1 1 -1 -1 2 1 1 -2 0 0 0 4 2 0 0 0 1 -1] [-2 2 -1 -1 -2 1 -2 -2 0 2 -1 -1 -1 1 2 2 6 2 0 -1 0 -1] [-2 1 0 0 0 -1 -2 0 0 0 0 0 -1 1 0 0 2 4 0 0 0 -1] [-2 1 -2 1 -1 -2 -1 -1 -2 0 -2 1 0 -1 -1 0 0 0 4 -1 0 0] [ 1 -1 0 0 0 1 0 1 1 0 2 -1 0 1 0 0 -1 0 -1 4 1 1] [ 0 -1 0 2 0 0 1 0 2 -1 0 0 1 -1 1 1 0 0 0 1 4 -1] [ 1 -1 0 -1 0 1 1 1 -1 0 0 0 0 1 -1 -1 -1 -1 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 86. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 1 0 -1 2 -2 -1 -1 1 0 -1 1 -1 1 -2 -2 -2 0 2] [-2 4 2 1 -1 0 0 -1 2 0 2 0 1 0 0 0 -1 0 0 2 1 0] [-2 2 4 2 0 -1 -1 -1 2 1 2 0 1 0 0 1 0 0 2 2 0 -1] [-2 1 2 4 -1 -1 -1 -2 2 0 0 0 -1 0 -1 2 1 0 2 2 -1 -2] [ 1 -1 0 -1 4 -1 0 2 0 1 1 -1 1 1 -1 1 -1 -1 1 0 1 1] [ 0 0 -1 -1 -1 4 0 -1 -1 -1 -2 1 0 -1 1 0 -1 1 -2 -1 0 1] [-1 0 -1 -1 0 0 4 0 -1 1 1 -1 0 1 -1 -1 -2 2 1 -1 0 0] [ 2 -1 -1 -2 2 -1 0 4 -1 1 1 -1 0 1 0 0 0 -1 0 -1 0 2] [-2 2 2 2 0 -1 -1 -1 4 0 1 0 1 1 0 1 0 0 1 2 0 -1] [-1 0 1 0 1 -1 1 1 0 4 2 -2 -1 2 -2 1 0 1 3 0 0 0] [-1 2 2 0 1 -2 1 1 1 2 6 0 1 0 -1 0 -2 0 2 1 2 0] [ 1 0 0 0 -1 1 -1 -1 0 -2 0 4 1 -2 2 -1 0 0 -1 0 0 0] [ 0 1 1 -1 1 0 0 0 1 -1 1 1 4 -1 2 -1 -1 -1 0 1 1 1] [-1 0 0 0 1 -1 1 1 1 2 0 -2 -1 4 -2 1 0 1 1 0 0 0] [ 1 0 0 -1 -1 1 -1 0 0 -2 -1 2 2 -2 4 -2 0 -1 -1 0 -1 1] [-1 0 1 2 1 0 -1 0 1 1 0 -1 -1 1 -2 4 1 0 1 1 0 0] [ 1 -1 0 1 -1 -1 -2 0 0 0 -2 0 -1 0 0 1 4 -1 0 0 -1 0] [-2 0 0 0 -1 1 2 -1 0 1 0 0 -1 1 -1 0 -1 4 1 0 0 -1] [-2 0 2 2 1 -2 1 0 1 3 2 -1 0 1 -1 1 0 1 6 1 -1 -1] [-2 2 2 2 0 -1 -1 -1 2 0 1 0 1 0 0 1 0 0 1 4 1 -1] [ 0 1 0 -1 1 0 0 0 0 0 2 0 1 0 -1 0 -1 0 -1 1 4 0] [ 2 0 -1 -2 1 1 0 2 -1 0 0 0 1 0 1 0 0 -1 -1 -1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 87. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 0 1 -2 -1 0 0 0 0 1 -1 -1 0 2 0 -1 0 1 1] [ 1 4 -2 1 0 -1 -1 -1 1 0 1 0 0 1 -2 -1 0 0 -2 0 0 -1] [-1 -2 4 -1 -1 0 1 2 -1 0 -1 0 1 0 1 1 0 0 0 0 1 -1] [-2 1 -1 4 1 -2 0 0 0 1 0 1 -2 2 0 0 -2 -1 -1 1 -1 -1] [ 0 0 -1 1 4 -1 1 1 -1 0 1 0 0 1 1 1 -2 0 1 0 0 1] [ 1 -1 0 -2 -1 4 -1 0 1 -1 -1 0 0 -2 1 1 2 0 2 0 1 0] [-2 -1 1 0 1 -1 4 2 -1 -1 1 -1 1 1 0 1 -2 1 2 -1 -1 1] [-1 -1 2 0 1 0 2 4 -1 -1 0 -1 0 0 1 1 -1 1 2 -1 0 0] [ 0 1 -1 0 -1 1 -1 -1 4 0 0 -1 0 0 0 0 0 1 -1 -1 1 0] [ 0 0 0 1 0 -1 -1 -1 0 4 1 2 -1 0 1 -1 0 -2 -1 2 1 -1] [ 0 1 -1 0 1 -1 1 0 0 1 4 -1 0 0 -1 -1 0 1 1 -1 0 0] [ 0 0 0 1 0 0 -1 -1 -1 2 -1 4 -1 1 1 0 0 -2 -1 2 0 -1] [ 1 0 1 -2 0 0 1 0 0 -1 0 -1 4 0 -1 1 0 0 -1 -1 1 1] [-1 1 0 2 1 -2 1 0 0 0 0 1 0 4 -1 1 -2 0 -2 0 0 0] [-1 -2 1 0 1 1 0 1 0 1 -1 1 -1 -1 4 0 -1 -1 2 1 0 0] [ 0 -1 1 0 1 1 1 1 0 -1 -1 0 1 1 0 4 0 0 0 0 1 1] [ 2 0 0 -2 -2 2 -2 -1 0 0 0 0 0 -2 -1 0 4 0 0 0 1 0] [ 0 0 0 -1 0 0 1 1 1 -2 1 -2 0 0 -1 0 0 4 1 -2 0 1] [-1 -2 0 -1 1 2 2 2 -1 -1 1 -1 -1 -2 2 0 0 1 6 -1 -1 1] [ 0 0 0 1 0 0 -1 -1 -1 2 -1 2 -1 0 1 0 0 -2 -1 4 1 -1] [ 1 0 1 -1 0 1 -1 0 1 1 0 0 1 0 0 1 1 0 -1 1 4 -1] [ 1 -1 -1 -1 1 0 1 0 0 -1 0 -1 1 0 0 1 0 1 1 -1 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 88. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 0 1 -2 0 0 0 0 0 2 1 2 -1 -1 1 0 0 0 1 1] [ 2 4 2 0 -1 -2 0 1 -1 1 0 0 0 0 0 0 1 0 -1 0 0 1] [ 1 2 4 1 -1 -2 1 0 1 2 1 -1 0 -1 0 1 -1 -1 -1 1 0 1] [ 0 0 1 4 -1 -1 0 -1 2 2 0 -1 -1 -1 1 2 -2 0 -1 0 -1 2] [ 1 -1 -1 -1 4 0 1 -1 0 -2 1 1 2 1 -2 0 0 -1 1 1 2 0] [-2 -2 -2 -1 0 4 0 1 0 -2 -1 0 -1 0 1 0 0 1 0 -1 0 -1] [ 0 0 1 0 1 0 4 1 1 1 2 -1 1 -1 -1 1 -1 -2 -1 2 0 1] [ 0 1 0 -1 -1 1 1 4 -1 0 -1 0 0 0 0 -1 0 1 0 -1 -1 0] [ 0 -1 1 2 0 0 1 -1 4 2 1 0 -1 0 1 2 -2 -1 -1 1 -1 2] [ 0 1 2 2 -2 -2 1 0 2 6 0 -1 0 -1 0 1 0 0 0 0 -2 1] [ 0 0 1 0 1 -1 2 -1 1 0 4 -1 1 0 0 1 -1 -2 -1 2 0 1] [ 2 0 -1 -1 1 0 -1 0 0 -1 -1 4 0 2 -1 -1 1 0 0 -1 1 0] [ 1 0 0 -1 2 -1 1 0 -1 0 1 0 4 0 -1 -1 1 -1 2 1 1 0] [ 2 0 -1 -1 1 0 -1 0 0 -1 0 2 0 4 -1 -1 1 1 0 -1 1 0] [-1 0 0 1 -2 1 -1 0 1 0 0 -1 -1 -1 4 0 -1 0 0 0 -2 1] [-1 0 1 2 0 0 1 -1 2 1 1 -1 -1 -1 0 4 -1 -1 -2 1 0 2] [ 1 1 -1 -2 0 0 -1 0 -2 0 -1 1 1 1 -1 -1 4 1 1 -1 1 -1] [ 0 0 -1 0 -1 1 -2 1 -1 0 -2 0 -1 1 0 -1 1 4 1 -2 0 -1] [ 0 -1 -1 -1 1 0 -1 0 -1 0 -1 0 2 0 0 -2 1 1 4 -1 0 -1] [ 0 0 1 0 1 -1 2 -1 1 0 2 -1 1 -1 0 1 -1 -2 -1 4 1 1] [ 1 0 0 -1 2 0 0 -1 -1 -2 0 1 1 1 -2 0 1 0 0 1 4 -1] [ 1 1 1 2 0 -1 1 0 2 1 1 0 0 0 1 2 -1 -1 -1 1 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 89. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 -1 0 1 2 1 1 0 2 2 2 -1 1 -1 -2 1 2 0 1] [ 1 4 1 -1 0 1 0 1 1 0 -1 2 1 1 1 0 -2 -2 1 2 0 -1] [ 0 1 4 -2 0 0 0 -1 2 -1 1 -1 0 0 1 -1 -1 1 2 -1 -1 -2] [-1 -1 -2 4 -1 1 1 0 -1 1 -1 1 0 0 0 1 0 -1 -1 1 0 0] [-1 0 0 -1 4 0 -2 0 -1 -1 -1 -1 0 0 1 -2 1 1 -1 -1 -1 -1] [ 0 1 0 1 0 4 -1 1 -1 1 -1 2 2 2 -1 -1 -1 -2 0 2 0 -1] [ 1 0 0 1 -2 -1 4 1 0 1 1 1 0 0 1 1 -1 -1 1 1 -1 0] [ 2 1 -1 0 0 1 1 4 0 2 -1 3 2 2 0 0 0 -3 1 3 -1 0] [ 1 1 2 -1 -1 -1 0 0 4 0 0 0 0 0 0 0 -1 0 2 0 0 -1] [ 1 0 -1 1 -1 1 1 2 0 4 0 3 1 1 -1 1 1 -3 0 3 -1 0] [ 0 -1 1 -1 -1 -1 1 -1 0 0 4 -2 -1 -1 -1 0 1 2 1 -2 0 0] [ 2 2 -1 1 -1 2 1 3 0 3 -2 6 2 3 0 1 -1 -4 0 4 -1 0] [ 2 1 0 0 0 2 0 2 0 1 -1 2 4 2 -1 0 -1 -3 0 2 0 0] [ 2 1 0 0 0 2 0 2 0 1 -1 3 2 4 -1 0 -1 -2 0 2 0 0] [-1 1 1 0 1 -1 1 0 0 -1 -1 0 -1 -1 4 -1 -1 0 1 0 -2 -1] [ 1 0 -1 1 -2 -1 1 0 0 1 0 1 0 0 -1 4 1 -1 -1 1 1 2] [-1 -2 -1 0 1 -1 -1 0 -1 1 1 -1 -1 -1 -1 1 4 1 -1 -1 0 1] [-2 -2 1 -1 1 -2 -1 -3 0 -3 2 -4 -3 -2 0 -1 1 6 0 -4 1 0] [ 1 1 2 -1 -1 0 1 1 2 0 1 0 0 0 1 -1 -1 0 4 0 -1 -1] [ 2 2 -1 1 -1 2 1 3 0 3 -2 4 2 2 0 1 -1 -4 0 6 0 0] [ 0 0 -1 0 -1 0 -1 -1 0 -1 0 -1 0 0 -2 1 0 1 -1 0 4 1] [ 1 -1 -2 0 -1 -1 0 0 -1 0 0 0 0 0 -1 2 1 0 -1 0 1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 90. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 0 2 2 -1 2 1 2 -1 2 -2 2 -1 -1 1 -1 -1 -2 0] [ 0 4 1 0 1 -1 -1 0 0 0 0 0 0 0 -2 -2 0 0 0 0 1 -1] [ 1 1 4 0 2 1 1 -1 -1 0 0 -2 0 -1 -1 -1 1 2 0 -2 -2 1] [-1 0 0 4 -1 -1 -1 2 -1 0 0 0 0 1 1 1 -1 0 1 0 2 1] [ 0 1 2 -1 4 0 1 -2 -1 0 -1 -1 0 0 -1 0 1 1 -1 -1 0 -1] [ 2 -1 1 -1 0 4 2 0 1 1 1 0 2 0 2 0 1 0 -1 0 -2 0] [ 2 -1 1 -1 1 2 4 -2 0 0 1 -1 2 0 2 0 1 1 -2 -1 -2 0] [-1 0 -1 2 -2 0 -2 4 0 1 0 1 0 1 1 0 0 -1 1 1 2 1] [ 2 0 -1 -1 -1 1 0 0 4 0 2 1 1 -1 2 -1 -1 -1 -1 1 -1 0] [ 1 0 0 0 0 1 0 1 0 4 0 1 1 0 1 -1 1 -1 -1 1 1 1] [ 2 0 0 0 -1 1 1 0 2 0 4 -1 1 -1 1 -1 0 1 0 -1 -1 0] [-1 0 -2 0 -1 0 -1 1 1 1 -1 4 0 2 1 0 0 -2 -1 2 1 0] [ 2 0 0 0 0 2 2 0 1 1 1 0 4 0 2 0 0 -1 -2 0 0 0] [-2 0 -1 1 0 0 0 1 -1 0 -1 2 0 4 0 1 1 -1 -1 1 2 0] [ 2 -2 -1 1 -1 2 2 1 2 1 1 1 2 0 6 0 -1 -1 -1 1 -1 1] [-1 -2 -1 1 0 0 0 0 -1 -1 -1 0 0 1 0 4 0 0 0 0 1 0] [-1 0 1 -1 1 1 1 0 -1 1 0 0 0 1 -1 0 4 0 -1 0 0 1] [ 1 0 2 0 1 0 1 -1 -1 -1 1 -2 -1 -1 -1 0 0 4 1 -2 -1 0] [-1 0 0 1 -1 -1 -2 1 -1 -1 0 -1 -2 -1 -1 0 -1 1 4 -1 0 0] [-1 0 -2 0 -1 0 -1 1 1 1 -1 2 0 1 1 0 0 -2 -1 4 2 0] [-2 1 -2 2 0 -2 -2 2 -1 1 -1 1 0 2 -1 1 0 -1 0 2 6 -1] [ 0 -1 1 1 -1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 91. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 -1 0 1 -2 1 -1 2 -1 1 -1 -1 -1 -2 2 2 -2 0 0] [-2 4 0 -1 2 0 -1 0 0 1 0 1 0 1 0 0 0 -2 -2 2 1 1] [ 1 0 6 2 -2 0 1 1 -1 -2 -1 -1 2 -1 -2 2 -2 2 1 -2 1 -1] [ 2 -1 2 6 -3 2 2 0 -2 -2 0 0 1 0 -1 1 -3 2 3 -2 -1 1] [-1 2 -2 -3 6 -1 0 -1 0 0 1 2 0 2 0 -1 2 -2 -1 2 0 2] [ 0 0 0 2 -1 4 -1 -1 -1 0 -1 -1 -1 -1 1 1 0 1 2 -1 -1 0] [ 1 -1 1 2 0 -1 4 1 -1 -1 0 1 2 1 -2 1 -1 1 2 -1 0 1] [-2 0 1 0 -1 -1 1 4 -1 0 -2 0 0 0 0 2 1 0 -1 0 0 -1] [ 1 0 -1 -2 0 -1 -1 -1 4 1 1 -1 -1 -1 1 -1 0 0 -2 0 0 -1] [-1 1 -2 -2 0 0 -1 0 1 4 0 0 -1 0 1 0 1 -1 -1 1 0 0] [ 2 0 -1 0 1 -1 0 -2 1 0 4 0 1 1 0 -2 -1 0 0 0 0 1] [-1 1 -1 0 2 -1 1 0 -1 0 0 4 0 2 -1 0 0 -2 -1 1 0 2] [ 1 0 2 1 0 -1 2 0 -1 -1 1 0 4 0 -1 0 -1 0 2 0 1 1] [-1 1 -1 0 2 -1 1 0 -1 0 1 2 0 4 -1 0 0 -1 -1 1 0 2] [-1 0 -2 -1 0 1 -2 0 1 1 0 -1 -1 -1 4 -1 1 -1 0 1 -2 0] [-1 0 2 1 -1 1 1 2 -1 0 -2 0 0 0 -1 4 1 1 0 -1 0 0] [-2 0 -2 -3 2 0 -1 1 0 1 -1 0 -1 0 1 1 4 -1 -1 1 0 0] [ 2 -2 2 2 -2 1 1 0 0 -1 0 -2 0 -1 -1 1 -1 4 2 -2 0 -1] [ 2 -2 1 3 -1 2 2 -1 -2 -1 0 -1 2 -1 0 0 -1 2 6 -2 -1 1] [-2 2 -2 -2 2 -1 -1 0 0 1 0 1 0 1 1 -1 1 -2 -2 4 1 1] [ 0 1 1 -1 0 -1 0 0 0 0 0 0 1 0 -2 0 0 0 -1 1 4 -1] [ 0 1 -1 1 2 0 1 -1 -1 0 1 2 1 2 0 0 0 -1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 92. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 1 1 -1 2 0 0 2 0 -1 0 1 -1 -2 2 1 2 -1 -1] [ 1 4 -2 -1 0 -1 0 0 0 1 0 0 0 0 0 0 -1 1 0 0 0 1] [-2 -2 4 1 -1 -1 0 0 -1 0 0 -1 0 -1 0 0 2 -2 0 0 0 1] [-1 -1 1 4 1 0 -1 0 1 1 0 1 1 1 -1 -1 -1 -1 0 0 1 1] [ 1 0 -1 1 4 1 -1 1 2 1 1 2 -1 2 1 1 -2 0 -1 1 -1 1] [ 1 -1 -1 0 1 4 -1 1 2 -1 1 2 1 2 -1 0 0 0 -1 1 1 -2] [-1 0 0 -1 -1 -1 4 0 -1 -1 0 -1 0 -1 0 -1 1 -1 0 0 0 0] [ 2 0 0 0 1 1 0 4 1 -1 2 0 0 0 0 -1 -1 0 0 2 -1 0] [ 0 0 -1 1 2 2 -1 1 4 0 0 2 0 2 0 1 -1 0 -2 0 1 0] [ 0 1 0 1 1 -1 -1 -1 0 4 -1 0 0 0 0 0 0 1 1 -1 0 1] [ 2 0 0 0 1 1 0 2 0 -1 4 0 0 1 1 -1 -1 0 0 2 -1 0] [ 0 0 -1 1 2 2 -1 0 2 0 0 4 0 2 -1 1 -1 -1 -2 0 1 0] [-1 0 0 1 -1 1 0 0 0 0 0 0 4 0 -1 -1 1 -1 1 0 1 0] [ 0 0 -1 1 2 2 -1 0 2 0 1 2 0 4 -1 1 -1 0 -2 0 1 0] [ 1 0 0 -1 1 -1 0 0 0 0 1 -1 -1 -1 4 0 -1 0 1 1 -2 1] [-1 0 0 -1 1 0 -1 -1 1 0 -1 1 -1 1 0 4 1 0 -2 -1 0 1] [-2 -1 2 -1 -2 0 1 -1 -1 0 -1 -1 1 -1 -1 1 4 -1 0 -1 1 0] [ 2 1 -2 -1 0 0 -1 0 0 1 0 -1 -1 0 0 0 -1 4 1 0 0 -1] [ 1 0 0 0 -1 -1 0 0 -2 1 0 -2 1 -2 1 -2 0 1 4 0 -1 0] [ 2 0 0 0 1 1 0 2 0 -1 2 0 0 0 1 -1 -1 0 0 4 0 0] [-1 0 0 1 -1 1 0 -1 1 0 -1 1 1 1 -2 0 1 0 -1 0 4 -1] [-1 1 1 1 1 -2 0 0 0 1 0 0 0 0 1 1 0 -1 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 93. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 -2 -1 2 0 1 1 -1 -2 1 -2 -1 1 -1 -1 0 -1 -2 0] [ 2 4 1 2 -2 -2 1 1 -1 0 -2 -1 1 -1 -1 -1 -1 -2 1 -2 -2 0] [-1 1 4 0 0 0 0 0 -1 0 0 1 1 1 -1 0 -1 -1 1 0 1 0] [ 2 2 0 4 -1 0 1 1 -1 0 0 -1 1 -1 -1 -1 0 -2 -1 0 0 -1] [-2 -2 0 -1 4 2 -2 0 1 -1 2 0 0 0 0 -1 2 0 0 2 1 1] [-1 -2 0 0 2 4 0 -1 0 -1 2 0 -1 0 1 0 1 0 -1 2 2 0] [ 2 1 0 1 -2 0 4 0 -1 0 -1 0 1 0 -1 1 -2 0 -1 -1 -1 -1] [ 0 1 0 1 0 -1 0 4 -2 -1 -1 0 1 0 -1 -1 -1 0 0 -1 1 1] [ 1 -1 -1 -1 1 0 -1 -2 6 0 1 0 -1 0 1 0 0 0 1 1 0 -1] [ 1 0 0 0 -1 -1 0 -1 0 4 -1 -1 1 -1 -1 1 1 1 1 -1 -1 0] [-1 -2 0 0 2 2 -1 -1 1 -1 4 0 0 1 1 0 1 0 -1 2 1 0] [-2 -1 1 -1 0 0 0 0 0 -1 0 4 -1 2 0 0 -1 0 -1 0 2 -1] [ 1 1 1 1 0 -1 1 1 -1 1 0 -1 4 -1 -1 0 0 -1 1 0 -1 1] [-2 -1 1 -1 0 0 0 0 0 -1 1 2 -1 4 0 0 -1 1 -1 0 2 -1] [-1 -1 -1 -1 0 1 -1 -1 1 -1 1 0 -1 0 4 -1 0 0 1 1 0 0] [ 1 -1 0 -1 -1 0 1 -1 0 1 0 0 0 0 -1 4 0 1 -1 0 0 1] [-1 -1 -1 0 2 1 -2 -1 0 1 1 -1 0 -1 0 0 4 0 0 1 0 1] [-1 -2 -1 -2 0 0 0 0 0 1 0 0 -1 1 0 1 0 4 0 0 1 0] [ 0 1 1 -1 0 -1 -1 0 1 1 -1 -1 1 -1 1 -1 0 0 4 -1 -1 1] [-1 -2 0 0 2 2 -1 -1 1 -1 2 0 0 0 1 0 1 0 -1 4 2 0] [-2 -2 1 0 1 2 -1 1 0 -1 1 2 -1 2 0 0 0 1 -1 2 6 -1] [ 0 0 0 -1 1 0 -1 1 -1 0 0 -1 1 -1 0 1 1 0 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 94. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -2 1 0 1 -2 -1 1 0 0 1 -1 0 -1 1 -2 -1 2] [-2 4 -2 2 -1 2 0 -1 -2 2 1 -1 1 0 -1 0 1 -1 -2 2 1 -2] [ 2 -2 4 -2 0 -1 0 1 0 -2 0 1 -1 1 1 0 0 -1 1 -2 -1 1] [-2 2 -2 4 0 2 -1 -1 0 2 0 -1 0 -1 0 1 1 1 -2 2 1 0] [ 1 -1 0 0 4 1 1 -1 2 0 -1 0 1 -1 2 1 -1 -1 0 0 0 2] [-2 2 -1 2 1 6 -2 1 0 1 2 1 0 0 -1 2 -1 1 -1 1 -1 -2] [ 1 0 0 -1 1 -2 4 -2 -1 0 0 0 1 -1 2 0 1 -1 -1 0 0 0] [ 0 -1 1 -1 -1 1 -2 4 1 -1 0 2 -1 0 -2 1 0 2 2 -1 -2 0] [ 1 -2 0 0 2 0 -1 1 4 0 -1 0 0 -1 0 1 -1 1 1 0 0 3] [-2 2 -2 2 0 1 0 -1 0 4 0 -2 0 0 0 1 0 1 -2 2 1 0] [-1 1 0 0 -1 2 0 0 -1 0 4 0 -1 0 0 0 0 0 -1 0 0 -3] [ 1 -1 1 -1 0 1 0 2 0 -2 0 4 0 0 0 1 0 1 1 -1 -2 0] [ 0 1 -1 0 1 0 1 -1 0 0 -1 0 4 -1 1 0 1 -2 0 0 0 0] [ 0 0 1 -1 -1 0 -1 0 -1 0 0 0 -1 4 0 -1 -2 -1 1 0 0 0] [ 1 -1 1 0 2 -1 2 -2 0 0 0 0 1 0 6 1 1 -1 -1 0 0 1] [-1 0 0 1 1 2 0 1 1 1 0 1 0 -1 1 4 1 2 -1 1 -1 1] [ 0 1 0 1 -1 -1 1 0 -1 0 0 0 1 -2 1 1 4 0 -1 0 0 0] [-1 -1 -1 1 -1 1 -1 2 1 1 0 1 -2 -1 -1 2 0 6 0 1 -1 0] [ 1 -2 1 -2 0 -1 -1 2 1 -2 -1 1 0 1 -1 -1 -1 0 4 -2 -1 1] [-2 2 -2 2 0 1 0 -1 0 2 0 -1 0 0 0 1 0 1 -2 4 2 0] [-1 1 -1 1 0 -1 0 -2 0 1 0 -2 0 0 0 -1 0 -1 -1 2 4 0] [ 2 -2 1 0 2 -2 0 0 3 0 -3 0 0 0 1 1 0 0 1 0 0 6] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 95. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 -2 2 2 2 0 0 2 0 -2 -2 -1 0 2 0 -1 0 1 1] [ 0 4 2 0 1 0 -2 0 1 1 -2 0 -2 -2 1 -1 1 0 -1 0 0 0] [ 1 2 6 1 -2 0 1 0 2 -1 -2 -2 0 0 0 -2 -1 2 -2 -2 0 0] [ 1 0 1 4 -2 1 -1 0 1 1 -1 1 1 1 1 -1 0 -1 0 1 1 1] [-2 1 -2 -2 6 -2 0 -1 0 0 0 1 -2 -2 0 -1 0 -1 0 1 -1 1] [ 2 0 0 1 -2 4 -1 2 1 1 0 -1 0 0 1 0 1 1 1 -1 1 1] [ 2 -2 1 -1 0 -1 6 1 -1 -2 3 -1 -1 -1 -2 0 0 1 -2 -1 0 1] [ 2 0 0 0 -1 2 1 4 -1 1 0 -1 -1 -1 -1 1 0 1 -1 -1 1 1] [ 0 1 2 1 0 1 -1 -1 4 -1 -2 -1 1 1 2 -1 0 1 1 -1 -1 1] [ 0 1 -1 1 0 1 -2 1 -1 4 0 1 0 0 1 0 1 -1 0 1 2 1] [ 2 -2 -2 -1 0 0 3 0 -2 0 6 1 -1 -1 -1 1 2 -1 0 1 0 1] [ 0 0 -2 1 1 -1 -1 -1 -1 1 1 4 -1 0 0 0 1 -2 0 2 0 0] [-2 -2 0 1 -2 0 -1 -1 1 0 -1 -1 6 4 1 1 -2 0 1 -1 0 0] [-2 -2 0 1 -2 0 -1 -1 1 0 -1 0 4 6 1 1 -2 1 1 -1 0 0] [-1 1 0 1 0 1 -2 -1 2 1 -1 0 1 1 4 -1 0 0 2 0 -1 1] [ 0 -1 -2 -1 -1 0 0 1 -1 0 1 0 1 1 -1 4 1 0 0 0 0 0] [ 2 1 -1 0 0 1 0 0 0 1 2 1 -2 -2 0 1 4 -1 0 1 1 1] [ 0 0 2 -1 -1 1 1 1 1 -1 -1 -2 0 1 0 0 -1 4 0 -2 0 0] [-1 -1 -2 0 0 1 -2 -1 1 0 0 0 1 1 2 0 0 0 4 0 -1 0] [ 0 0 -2 1 1 -1 -1 -1 -1 1 1 2 -1 -1 0 0 1 -2 0 4 1 0] [ 1 0 0 1 -1 1 0 1 -1 2 0 0 0 0 -1 0 1 0 -1 1 4 0] [ 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 96. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 1 2 1 1 2 2 2 -2 -2 -1 0 0 1 1 0 1] [ 1 4 2 -1 -2 -1 0 0 -1 0 0 2 0 0 -2 1 1 0 0 0 0 1] [ 2 2 4 -2 -2 1 1 1 1 1 1 2 1 0 -2 1 1 0 0 1 0 0] [-1 -1 -2 4 0 0 1 -1 0 1 -1 -2 -1 1 2 0 1 0 1 1 0 -1] [-1 -2 -2 0 4 0 0 -1 -1 0 -1 0 -1 -1 0 0 -1 1 -1 0 -1 1] [ 1 -1 1 0 0 4 0 1 1 0 1 1 1 -1 -1 1 -1 -1 1 0 1 0] [ 1 0 1 1 0 0 4 1 1 2 0 -1 0 0 1 0 2 0 1 2 0 0] [ 2 0 1 -1 -1 1 1 4 2 0 2 1 2 -2 -1 -1 0 0 2 0 0 0] [ 1 -1 1 0 -1 1 1 2 4 1 2 -1 2 -1 1 0 1 -1 1 1 1 -2] [ 1 0 1 1 0 0 2 0 1 4 0 0 1 0 1 0 2 1 0 2 -1 0] [ 2 0 1 -1 -1 1 0 2 2 0 4 0 2 -2 -1 -1 0 0 0 0 1 0] [ 2 2 2 -2 0 1 -1 1 -1 0 0 6 0 -1 -3 0 -1 1 1 0 -1 2] [ 2 0 1 -1 -1 1 0 2 2 1 2 0 4 -2 -1 -1 0 -1 0 0 1 0] [-2 0 0 1 -1 -1 0 -2 -1 0 -2 -1 -2 4 2 1 1 0 0 0 0 -1] [-2 -2 -2 2 0 -1 1 -1 1 1 -1 -3 -1 2 6 0 1 0 1 1 0 -1] [-1 1 1 0 0 1 0 -1 0 0 -1 0 -1 1 0 4 1 0 0 0 0 0] [ 0 1 1 1 -1 -1 2 0 1 2 0 -1 0 1 1 1 4 0 0 2 0 0] [ 0 0 0 0 1 -1 0 0 -1 1 0 1 -1 0 0 0 0 4 0 1 -2 1] [ 1 0 0 1 -1 1 1 2 1 0 0 1 0 0 1 0 0 0 4 0 0 0] [ 1 0 1 1 0 0 2 0 1 2 0 0 0 0 1 0 2 1 0 4 0 0] [ 0 0 0 0 -1 1 0 0 1 -1 1 -1 1 0 0 0 0 -2 0 0 4 -1] [ 1 1 0 -1 1 0 0 0 -2 0 0 2 0 -1 -1 0 0 1 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 97. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 2 0 -1 1 2 -2 2 1 2 0 2 1 -2 1 -1 1 1 1] [ 1 4 0 2 0 1 -2 1 1 1 -1 1 1 -1 2 0 -1 -1 0 1 1 0] [ 1 0 4 -1 -1 -1 0 2 1 1 2 2 0 -1 2 0 -1 2 1 2 1 2] [ 1 2 -1 4 1 0 -2 0 1 1 0 0 0 -1 1 -1 -1 -1 -1 0 1 0] [ 2 0 -1 1 4 1 0 -1 0 -1 1 -1 2 1 1 0 0 1 -2 -1 1 0] [ 0 1 -1 0 1 4 0 0 0 1 0 0 2 -1 -1 0 0 -1 1 0 1 0] [-1 -2 0 -2 0 0 4 -1 -1 0 -1 -1 1 2 -1 1 1 1 0 -1 -1 1] [ 1 1 2 0 -1 0 -1 4 0 1 0 2 -1 -2 1 1 -1 0 1 2 1 1] [ 2 1 1 1 0 0 -1 0 4 0 2 1 2 0 2 -1 -2 0 1 1 1 1] [-2 1 1 1 -1 1 0 1 0 6 -1 1 0 -2 0 -2 0 -1 2 1 2 1] [ 2 -1 2 0 1 0 -1 0 2 -1 6 0 2 0 2 0 -2 2 0 0 1 2] [ 1 1 2 0 -1 0 -1 2 1 1 0 4 -1 -2 1 0 0 0 1 2 1 1] [ 2 1 0 0 2 2 1 -1 2 0 2 -1 6 2 2 1 -2 1 0 -1 1 1] [ 0 -1 -1 -1 1 -1 2 -2 0 -2 0 -2 2 4 1 1 0 1 -1 -2 -1 0] [ 2 2 2 1 1 -1 -1 1 2 0 2 1 2 1 6 1 -2 1 0 1 2 2] [ 1 0 0 -1 0 0 1 1 -1 -2 0 0 1 1 1 4 -1 0 0 0 0 1] [-2 -1 -1 -1 0 0 1 -1 -2 0 -2 0 -2 0 -2 -1 4 0 -1 -1 -1 -1] [ 1 -1 2 -1 1 -1 1 0 0 -1 2 0 1 1 1 0 0 4 -1 0 0 1] [-1 0 1 -1 -2 1 0 1 1 2 0 1 0 -1 0 0 -1 -1 4 1 1 1] [ 1 1 2 0 -1 0 -1 2 1 1 0 2 -1 -2 1 0 -1 0 1 4 2 1] [ 1 1 1 1 1 1 -1 1 1 2 1 1 1 -1 2 0 -1 0 1 2 4 1] [ 1 0 2 0 0 0 1 1 1 1 2 1 1 0 2 1 -1 1 1 1 1 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = true LatDB = - 98. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 1 0 2 1 1 0 1 0 2 -1 -1 1 -1 1 0 0 2] [ 1 4 0 1 0 -1 0 0 1 2 -1 0 0 0 1 -2 2 -2 0 0 -1 1] [-1 0 4 -2 0 1 0 0 -2 0 1 0 0 0 0 -1 -2 0 -2 0 1 0] [ 2 1 -2 4 -1 0 -1 0 1 0 0 1 -1 0 0 -1 2 0 2 -1 0 0] [-1 0 0 -1 4 1 2 -1 -1 1 -2 -2 2 -1 2 1 -1 -1 0 2 0 0] [ 1 -1 1 0 1 4 0 1 0 1 1 0 0 1 -1 -1 -1 -1 -1 0 2 1] [ 0 0 0 -1 2 0 4 1 -1 1 -2 0 2 0 1 2 -1 0 0 2 0 1] [ 2 0 0 0 -1 1 1 4 0 0 0 1 0 2 -2 -1 0 -1 0 0 0 2] [ 1 1 -2 1 -1 0 -1 0 4 1 0 1 -1 0 0 0 2 -1 0 -1 0 0] [ 1 2 0 0 1 1 1 0 1 4 -1 0 1 0 0 0 1 -1 -1 1 1 2] [ 0 -1 1 0 -2 1 -2 0 0 -1 4 1 -2 0 -2 -1 -1 1 -1 -2 1 -1] [ 1 0 0 1 -2 0 0 1 1 0 1 4 -2 0 0 -1 1 1 -1 -2 0 0] [ 0 0 0 -1 2 0 2 0 -1 1 -2 -2 4 1 0 2 -1 0 0 2 0 1] [ 2 0 0 0 -1 1 0 2 0 0 0 0 1 4 -1 -1 0 -1 0 0 0 2] [-1 1 0 0 2 -1 1 -2 0 0 -2 0 0 -1 6 -1 1 -1 1 0 -2 -1] [-1 -2 -1 -1 1 -1 2 -1 0 0 -1 -1 2 -1 -1 6 -1 2 0 2 1 0] [ 1 2 -2 2 -1 -1 -1 0 2 1 -1 1 -1 0 1 -1 4 -1 1 -1 -1 1] [-1 -2 0 0 -1 -1 0 -1 -1 -1 1 1 0 -1 -1 2 -1 4 0 0 1 -1] [ 1 0 -2 2 0 -1 0 0 0 -1 -1 -1 0 0 1 0 1 0 4 0 -1 0] [ 0 0 0 -1 2 0 2 0 -1 1 -2 -2 2 0 0 2 -1 0 0 4 1 1] [ 0 -1 1 0 0 2 0 0 0 1 1 0 0 0 -2 1 -1 1 -1 1 4 0] [ 2 1 0 0 0 1 1 2 0 2 -1 0 1 2 -1 0 1 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1>, <5, 1> ] Modular = false LatDB = - 99. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 -2 -2 0 1 1 -2 -1 1 1 -2 1 -1 -1 1 -1 -2 -1 2] [ 2 4 -2 -1 -1 -2 0 -1 0 -2 1 1 2 -1 -1 1 -1 1 -2 -2 -1 0] [-2 -2 4 2 0 0 -1 0 -1 2 1 -2 0 2 1 -1 2 -1 2 2 2 0] [-1 -1 2 4 0 0 -2 0 1 1 2 -1 0 1 -1 1 1 1 1 1 1 0] [-2 -1 0 0 4 2 1 0 0 1 -1 1 0 0 0 0 -1 -1 1 1 1 -2] [-2 -2 0 0 2 4 0 0 1 1 -1 0 -2 0 -1 1 0 0 0 1 0 -1] [ 0 0 -1 -2 1 0 4 1 0 0 -1 1 -1 -1 0 0 -1 -1 0 0 0 -1] [ 1 -1 0 0 0 0 1 4 2 1 0 0 0 0 2 -2 0 1 0 1 0 1] [ 1 0 -1 1 0 1 0 2 4 0 1 1 0 -1 -1 1 -1 2 -1 0 0 1] [-2 -2 2 1 1 1 0 1 0 4 0 0 0 2 0 -1 1 0 1 2 1 -1] [-1 1 1 2 -1 -1 -1 0 1 0 6 -2 1 2 -2 1 0 1 -1 1 1 0] [ 1 1 -2 -1 1 0 1 0 1 0 -2 4 1 -1 0 1 -2 0 -1 -1 0 -1] [ 1 2 0 0 0 -2 -1 0 0 0 1 1 4 0 1 -1 -1 0 0 0 1 0] [-2 -1 2 1 0 0 -1 0 -1 2 2 -1 0 4 0 0 1 0 0 2 1 -1] [ 1 -1 1 -1 0 -1 0 2 -1 0 -2 0 1 0 6 -4 1 -1 2 1 0 1] [-1 1 -1 1 0 1 0 -2 1 -1 1 1 -1 0 -4 6 0 1 -2 -1 0 -1] [-1 -1 2 1 -1 0 -1 0 -1 1 0 -2 -1 1 1 0 4 0 1 1 0 1] [ 1 1 -1 1 -1 0 -1 1 2 0 1 0 0 0 -1 1 0 4 -1 0 -1 0] [-1 -2 2 1 1 0 0 0 -1 1 -1 -1 0 0 2 -2 1 -1 4 1 1 0] [-2 -2 2 1 1 1 0 1 0 2 1 -1 0 2 1 -1 1 0 1 4 2 -1] [-1 -1 2 1 1 0 0 0 0 1 1 0 1 1 0 0 0 -1 1 2 4 -1] [ 2 0 0 0 -2 -1 -1 1 1 -1 0 -1 0 -1 1 -1 1 0 0 -1 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 100. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 -2 -2 2 1 -1 0 0 0 0 0 2 1 1 1 1 -2] [-2 4 -2 2 -1 1 2 1 -1 -1 1 1 0 -1 -1 -1 -1 1 -2 1 1 1] [ 2 -2 4 -2 0 -1 -2 -2 0 1 0 -1 0 0 1 1 1 -1 1 -1 -1 -2] [-2 2 -2 4 -1 2 2 2 -1 0 0 1 1 -1 -1 -1 -2 -1 -2 -1 1 0] [ 1 -1 0 -1 4 1 -1 -1 0 0 0 -1 -1 2 1 -1 2 -1 1 2 -1 0] [-1 1 -1 2 1 4 1 1 -2 0 0 -1 -1 1 1 -2 -1 -2 -1 1 -1 0] [-2 2 -2 2 -1 1 4 1 0 -1 0 1 1 0 0 0 -2 -1 -2 1 1 1] [-2 1 -2 2 -1 1 1 4 -1 -1 -1 1 1 -1 -1 0 -1 0 -1 -1 -1 0] [ 2 -1 0 -1 0 -2 0 -1 6 -1 0 2 0 0 -2 2 0 1 0 1 3 1] [ 1 -1 1 0 0 0 -1 -1 -1 4 0 -1 1 1 1 -1 1 -1 1 0 -1 0] [-1 1 0 0 0 0 0 -1 0 0 4 0 -1 1 -1 0 0 -1 -1 0 0 2] [ 0 1 -1 1 -1 -1 1 1 2 -1 0 4 2 -1 -1 0 0 2 -2 -1 1 1] [ 0 0 0 1 -1 -1 1 1 0 1 -1 2 4 -1 0 0 0 0 -1 -1 0 0] [ 0 -1 0 -1 2 1 0 -1 0 1 1 -1 -1 4 1 0 1 -1 0 1 -1 1] [ 0 -1 1 -1 1 1 0 -1 -2 1 -1 -1 0 1 4 -1 0 -1 1 0 -2 0] [ 0 -1 1 -1 -1 -2 0 0 2 -1 0 0 0 0 -1 4 0 0 0 -1 1 0] [ 2 -1 1 -2 2 -1 -2 -1 0 1 0 0 0 1 0 0 4 1 1 1 -1 0] [ 1 1 -1 -1 -1 -2 -1 0 1 -1 -1 2 0 -1 -1 0 1 6 0 0 2 0] [ 1 -2 1 -2 1 -1 -2 -1 0 1 -1 -2 -1 0 1 0 1 0 4 0 -1 0] [ 1 1 -1 -1 2 1 1 -1 1 0 0 -1 -1 1 0 -1 1 0 0 6 1 1] [ 1 1 -1 1 -1 -1 1 -1 3 -1 0 1 0 -1 -2 1 -1 2 -1 1 6 -1] [-2 1 -2 0 0 0 1 0 1 0 2 1 0 1 0 0 0 0 0 1 -1 6] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 101. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 0 1 1 1 1 1 2 1 -1 2 1 -1 -2 -1 0] [ 1 4 -1 0 2 1 -1 1 0 1 0 -1 2 2 -1 1 1 -1 -2 -2 1 1] [-1 -1 4 -1 0 0 0 1 1 -1 1 0 0 1 0 0 0 0 0 -1 0 -2] [-1 0 -1 4 0 0 1 -1 -2 1 -1 0 0 0 1 1 -2 0 -1 2 0 -1] [ 1 2 0 0 4 2 1 0 0 0 -1 -1 0 2 0 1 1 -1 -2 -2 1 1] [ 2 1 0 0 2 4 2 0 0 0 1 1 0 1 0 -1 2 1 -1 -1 -1 -1] [ 1 -1 0 1 1 2 6 -2 0 0 0 2 0 2 1 0 -1 2 0 -1 -2 1] [ 0 1 1 -1 0 0 -2 4 0 -1 1 0 0 -1 -2 1 1 0 -1 0 0 -2] [ 1 0 1 -2 0 0 0 0 4 -1 1 -1 1 2 0 -1 1 0 0 -2 0 1] [ 1 1 -1 1 0 0 0 -1 -1 4 0 0 0 1 1 0 -1 1 -1 -1 0 0] [ 1 0 1 -1 -1 1 0 1 1 0 4 0 0 0 -1 -2 1 0 1 0 0 -1] [ 1 -1 0 0 -1 1 2 0 -1 0 0 4 0 0 0 0 0 2 0 0 -2 -1] [ 1 2 0 0 0 0 0 0 1 0 0 0 4 2 0 1 1 0 -1 -1 0 1] [ 2 2 1 0 2 1 2 -1 2 1 0 0 2 6 1 0 0 0 -2 -4 0 1] [ 1 -1 0 1 0 0 1 -2 0 1 -1 0 0 1 4 -1 -1 0 0 0 0 0] [-1 1 0 1 1 -1 0 1 -1 0 -2 0 1 0 -1 4 -1 0 -2 0 0 0] [ 2 1 0 -2 1 2 -1 1 1 -1 1 0 1 0 -1 -1 4 0 0 -1 0 0] [ 1 -1 0 0 -1 1 2 0 0 1 0 2 0 0 0 0 0 4 0 0 -2 -1] [-1 -2 0 -1 -2 -1 0 -1 0 -1 1 0 -1 -2 0 -2 0 0 4 1 0 1] [-2 -2 -1 2 -2 -1 -1 0 -2 -1 0 0 -1 -4 0 0 -1 0 1 6 1 -1] [-1 1 0 0 1 -1 -2 0 0 0 0 -2 0 0 0 0 0 -2 0 1 4 1] [ 0 1 -2 -1 1 -1 1 -2 1 0 -1 -1 1 1 0 0 0 -1 1 -1 1 6] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 102. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -2 -1 1 -1 -1 -2 -2 2 -1 -2 -1 2 1 -2 -2 -2 0 0] [ 1 4 -1 0 -1 -2 1 0 1 -2 0 2 0 0 0 0 -1 -2 1 -1 1 0] [ 2 -1 4 -2 -1 1 0 -1 0 0 -2 0 -1 -2 0 1 1 -1 -2 -1 0 0] [-2 0 -2 4 1 -1 -1 2 0 1 2 -2 0 2 1 -2 0 1 1 0 0 -1] [-2 -1 -1 1 6 3 -2 -1 1 0 1 1 1 3 -1 -1 -1 -1 1 3 1 -2] [-1 -2 1 -1 3 6 -1 -2 -1 0 -1 -1 2 0 -2 1 1 1 -1 3 -1 -1] [ 1 1 0 -1 -2 -1 4 1 -1 0 -1 1 -1 -1 0 2 -1 1 1 -1 -1 2] [-1 0 -1 2 -1 -2 1 4 0 2 1 -1 0 1 2 -1 0 2 2 0 0 1] [-1 1 0 0 1 -1 -1 0 4 1 0 0 0 1 1 -1 -2 -2 2 0 1 0] [-2 -2 0 1 0 0 0 2 1 4 1 -2 0 1 2 -1 0 2 1 1 -1 1] [-2 0 -2 2 1 -1 -1 1 0 1 4 -1 1 2 1 -2 0 1 0 0 0 -1] [ 2 2 0 -2 1 -1 1 -1 0 -2 -1 6 0 0 -1 1 -1 -3 1 0 1 0] [-1 0 -1 0 1 2 -1 0 0 0 1 0 4 1 -1 0 1 1 1 2 -1 0] [-2 0 -2 2 3 0 -1 1 1 1 2 0 1 4 0 -2 -1 0 2 2 0 -1] [-1 0 0 1 -1 -2 0 2 1 2 1 -1 -1 0 4 -1 0 1 1 0 1 0] [ 2 0 1 -2 -1 1 2 -1 -1 -1 -2 1 0 -2 -1 4 0 0 -1 -1 -1 1] [ 1 -1 1 0 -1 1 -1 0 -2 0 0 -1 1 -1 0 0 4 1 -2 1 0 0] [-2 -2 -1 1 -1 1 1 2 -2 2 1 -3 1 0 1 0 1 6 1 1 -2 1] [-2 1 -2 1 1 -1 1 2 2 1 0 1 1 2 1 -1 -2 1 6 1 0 1] [-2 -1 -1 0 3 3 -1 0 0 1 0 0 2 2 0 -1 1 1 1 6 1 0] [ 0 1 0 0 1 -1 -1 0 1 -1 0 1 -1 0 1 -1 0 -2 0 1 4 -1] [ 0 0 0 -1 -2 -1 2 1 0 1 -1 0 0 -1 0 1 0 1 1 0 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = true LatDB = - 103. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 1 -1 0 -1 2 0 0 0 0 0 -1 2 -1 -1 1 0 0] [-2 4 -2 2 -1 -1 1 1 0 -2 0 1 1 1 -1 0 -1 0 0 0 1 1] [ 2 -2 4 -2 0 0 -1 -1 0 2 -1 0 -1 0 1 1 1 0 -1 0 -1 1] [-2 2 -2 4 0 -1 2 0 1 -2 1 1 1 1 -1 0 -2 1 0 -1 0 0] [ 1 -1 0 0 4 0 0 1 0 2 1 0 1 0 -1 0 -1 0 1 0 1 -1] [ 1 -1 0 -1 0 4 1 -1 -2 -1 1 -2 -1 -2 1 -1 2 -2 -1 2 -1 0] [-1 1 -1 2 0 1 4 0 -1 -1 2 -1 -1 -1 1 0 -1 -1 0 1 0 0] [ 0 1 -1 0 1 -1 0 4 1 1 1 0 1 0 -1 -1 0 1 2 -1 1 -1] [-1 0 0 1 0 -2 -1 1 4 1 0 1 0 0 -1 0 -1 2 1 -2 0 -1] [ 2 -2 2 -2 2 -1 -1 1 1 6 1 -1 -1 -1 1 -1 0 1 1 -1 0 -2] [ 0 0 -1 1 1 1 2 1 0 1 4 -1 -1 -1 1 -2 -1 0 1 0 -1 -2] [ 0 1 0 1 0 -2 -1 0 1 -1 -1 4 1 2 -2 1 -1 0 -1 -1 1 1] [ 0 1 -1 1 1 -1 -1 1 0 -1 -1 1 4 1 -1 0 0 0 1 0 1 1] [ 0 1 0 1 0 -2 -1 0 0 -1 -1 2 1 4 -2 1 -1 1 -1 -1 1 1] [ 0 -1 1 -1 -1 1 1 -1 -1 1 1 -2 -1 -2 4 -1 0 -1 1 1 -2 0] [-1 0 1 0 0 -1 0 -1 0 -1 -2 1 0 1 -1 4 0 0 -1 0 1 2] [ 2 -1 1 -2 -1 2 -1 0 -1 0 -1 -1 0 -1 0 0 4 -1 -1 1 0 1] [-1 0 0 1 0 -2 -1 1 2 1 0 0 0 1 -1 0 -1 4 1 -2 0 -1] [-1 0 -1 0 1 -1 0 2 1 1 1 -1 1 -1 1 -1 -1 1 4 -1 0 -1] [ 1 0 0 -1 0 2 1 -1 -2 -1 0 -1 0 -1 1 0 1 -2 -1 4 1 1] [ 0 1 -1 0 1 -1 0 1 0 0 -1 1 1 1 -2 1 0 0 0 1 4 0] [ 0 1 1 0 -1 0 0 -1 -1 -2 -2 1 1 1 0 2 1 -1 -1 1 0 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 104. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 0 1 1 -1 0 -1 -1 -1 2 0 1 1 2 1 0 -1 0 2 1] [ 1 4 1 1 1 1 -1 1 -2 -2 1 -1 -1 0 0 0 2 0 -2 0 2 1] [-1 1 4 -1 0 -1 1 2 0 0 2 -1 0 0 0 -1 0 1 0 -1 0 1] [ 0 1 -1 4 -1 0 -2 -1 0 -1 0 -1 -2 -1 -1 -1 2 1 -1 -1 1 0] [ 1 1 0 -1 4 1 0 0 -2 -1 0 2 -1 -1 -1 2 0 -2 -2 2 -1 -1] [ 1 1 -1 0 1 4 -2 -1 -2 0 -1 2 -1 1 1 1 1 -1 -2 1 -1 0] [-1 -1 1 -2 0 -2 4 0 1 0 0 -1 1 0 0 0 -2 0 1 0 0 0] [ 0 1 2 -1 0 -1 0 4 -1 -1 2 0 1 0 0 0 1 0 1 0 0 0] [-1 -2 0 0 -2 -2 1 -1 4 1 0 -2 1 0 0 -1 -1 1 2 -1 1 1] [-1 -2 0 -1 -1 0 0 -1 1 4 -1 1 0 1 1 0 -1 0 1 0 -2 -1] [-1 1 2 0 0 -1 0 2 0 -1 4 -2 1 0 -1 -1 0 1 0 -1 0 0] [ 2 -1 -1 -1 2 2 -1 0 -2 1 -2 6 -1 1 0 2 0 -2 -1 2 -2 -1] [ 0 -1 0 -2 -1 -1 1 1 1 0 1 -1 4 1 1 0 -2 1 2 -1 1 0] [ 1 0 0 -1 -1 1 0 0 0 1 0 1 1 4 2 1 0 1 0 -1 1 1] [ 1 0 0 -1 -1 1 0 0 0 1 -1 0 1 2 4 1 0 0 0 -1 1 1] [ 2 0 -1 -1 2 1 0 0 -1 0 -1 2 0 1 1 4 1 -1 -1 1 0 0] [ 1 2 0 2 0 1 -2 1 -1 -1 0 0 -2 0 0 1 4 0 -1 0 1 1] [ 0 0 1 1 -2 -1 0 0 1 0 1 -2 1 1 0 -1 0 4 1 -2 2 1] [-1 -2 0 -1 -2 -2 1 1 2 1 0 -1 2 0 0 -1 -1 1 4 -1 0 0] [ 0 0 -1 -1 2 1 0 0 -1 0 -1 2 -1 -1 -1 1 0 -2 -1 4 -1 -1] [ 2 2 0 1 -1 -1 0 0 1 -2 0 -2 1 1 1 0 1 2 0 -1 6 2] [ 1 1 1 0 -1 0 0 0 1 -1 0 -1 0 1 1 0 1 1 0 -1 2 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 105. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 -2 -1 1 -2 1 0 -1 -1 -1 0 1 1 1 1 -1 1] [ 0 4 -1 -1 1 2 0 2 1 1 1 -1 2 2 -2 0 -1 1 -1 1 -2 1] [ 1 -1 4 0 0 0 -1 -1 1 0 1 -1 0 1 1 1 -1 0 0 -1 1 0] [ 2 -1 0 4 -2 -1 -2 -2 -1 -2 0 1 -1 -2 1 1 1 1 1 1 1 1] [-2 1 0 -2 4 2 2 1 -1 2 -1 -1 1 2 0 0 -1 -1 -2 -1 0 0] [-1 2 0 -1 2 4 1 2 1 1 1 -2 2 1 0 0 -2 1 -1 1 0 0] [-2 0 -1 -2 2 1 6 2 1 2 1 -2 -1 -1 -1 -2 1 -2 -2 -1 2 -1] [-1 2 -1 -2 1 2 2 6 3 1 1 -1 2 2 -2 -1 -2 1 -1 0 -2 1] [ 1 1 1 -1 -1 1 1 3 6 -1 2 -2 1 1 -1 -2 -1 2 1 0 -1 -1] [-2 1 0 -2 2 1 2 1 -1 4 0 0 1 2 0 0 -1 -1 -2 -1 0 0] [ 1 1 1 0 -1 1 1 1 2 0 4 -1 0 0 -1 -1 0 0 -1 0 0 0] [ 0 -1 -1 1 -1 -2 -2 -1 -2 0 -1 4 0 0 1 0 0 0 0 0 -1 0] [-1 2 0 -1 1 2 -1 2 1 1 0 0 4 2 0 0 -2 2 -1 1 -2 0] [-1 2 1 -2 2 1 -1 2 1 2 0 0 2 6 0 0 -2 1 -1 -1 -3 0] [-1 -2 1 1 0 0 -1 -2 -1 0 -1 1 0 0 4 0 -1 0 1 0 1 -1] [ 0 0 1 1 0 0 -2 -1 -2 0 -1 0 0 0 0 4 0 0 0 0 1 2] [ 1 -1 -1 1 -1 -2 1 -2 -1 -1 0 0 -2 -2 -1 0 4 -1 0 0 1 0] [ 1 1 0 1 -1 1 -2 1 2 -1 0 0 2 1 0 0 -1 4 1 2 -1 0] [ 1 -1 0 1 -2 -1 -2 -1 1 -2 -1 0 -1 -1 1 0 0 1 4 0 0 0] [ 1 1 -1 1 -1 1 -1 0 0 -1 0 0 1 -1 0 0 0 2 0 4 0 0] [-1 -2 1 1 0 0 2 -2 -1 0 0 -1 -2 -3 1 1 1 -1 0 0 6 -1] [ 1 1 0 1 0 0 -1 1 -1 0 0 0 0 0 -1 2 0 0 0 0 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 106. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 2 0 -1 2 1 0 2 0 1 1 2 -1 0 0 0 2 2 1] [ 2 4 0 -1 0 0 -1 2 2 0 2 -1 1 2 0 -1 1 -1 1 2 2 0] [ 0 0 4 2 -1 -1 -1 0 -1 0 0 -1 1 0 1 0 -1 2 1 0 -1 0] [ 0 -1 2 4 0 0 0 0 -1 -1 0 -1 0 -1 0 -1 0 2 1 0 -1 -1] [ 2 0 -1 0 4 0 -1 0 1 0 0 1 0 -1 1 0 1 -1 -1 0 0 1] [ 0 0 -1 0 0 4 -1 1 1 0 1 0 1 0 -2 -2 2 0 0 1 2 1] [-1 -1 -1 0 -1 -1 4 -1 -1 1 -1 -1 -1 0 1 0 0 -1 1 -1 -1 -2] [ 2 2 0 0 0 1 -1 4 2 -1 2 -1 0 1 1 -1 0 0 0 2 3 1] [ 1 2 -1 -1 1 1 -1 2 4 0 1 -1 1 1 -1 0 1 -1 -1 1 1 1] [ 0 0 0 -1 0 0 1 -1 0 4 -1 -1 1 1 0 0 1 0 1 -1 0 0] [ 2 2 0 0 0 1 -1 2 1 -1 4 -1 1 0 1 -1 0 0 0 2 2 1] [ 0 -1 -1 -1 1 0 -1 -1 -1 -1 -1 4 0 -1 -1 0 0 0 -1 -1 -1 0] [ 1 1 1 0 0 1 -1 0 1 1 1 0 4 0 0 -1 1 0 1 1 0 1] [ 1 2 0 -1 -1 0 0 1 1 1 0 -1 0 4 -1 0 0 0 0 1 2 0] [ 2 0 1 0 1 -2 1 1 -1 0 1 -1 0 -1 6 0 -2 -1 1 1 0 1] [-1 -1 0 -1 0 -2 0 -1 0 0 -1 0 -1 0 0 4 -1 0 -2 -1 -1 1] [ 0 1 -1 0 1 2 0 0 1 1 0 0 1 0 -2 -1 4 -1 1 0 1 0] [ 0 -1 2 2 -1 0 -1 0 -1 0 0 0 0 0 -1 0 -1 4 0 0 0 0] [ 0 1 1 1 -1 0 1 0 -1 1 0 -1 1 0 1 -2 1 0 4 0 0 -1] [ 2 2 0 0 0 1 -1 2 1 -1 2 -1 1 1 1 -1 0 0 0 4 3 1] [ 2 2 -1 -1 0 2 -1 3 1 0 2 -1 0 2 0 -1 1 0 0 3 6 1] [ 1 0 0 -1 1 1 -2 1 1 0 1 0 1 0 1 1 0 0 -1 1 1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 107. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 1 1 -1 -1 0 0 1 2 -2 -2 0 -1 1 -1 -1 1 2 2] [-1 4 -1 0 0 -2 0 1 -1 1 0 0 1 2 -1 -1 -2 1 -1 -1 -1 -2] [ 0 -1 4 0 0 0 -1 1 0 -1 -1 0 1 1 -1 2 1 -2 -1 2 -1 2] [ 2 0 0 4 2 1 0 0 1 -1 1 2 -2 -1 0 -2 0 0 -2 0 2 2] [ 1 0 0 2 4 -1 0 0 2 1 2 1 -1 -2 0 -1 0 0 -1 0 1 1] [ 1 -2 0 1 -1 4 1 -1 0 -2 -1 1 -2 -1 0 -1 0 0 1 0 2 2] [-1 0 -1 0 0 1 4 0 1 -1 0 -1 1 1 1 -1 -2 0 0 0 -1 1] [-1 1 1 0 0 -1 0 4 -1 1 -1 -1 0 0 1 0 -1 -1 0 1 0 0] [ 0 -1 0 1 2 0 1 -1 4 -1 2 0 1 -1 1 0 1 0 -1 0 -1 1] [ 0 1 -1 -1 1 -2 -1 1 -1 4 0 0 -1 -1 0 0 0 0 1 0 1 -1] [ 1 0 -1 1 2 -1 0 -1 2 0 4 0 1 -2 1 0 1 0 -1 0 -1 -1] [ 2 0 0 2 1 1 -1 -1 0 0 0 4 -3 0 -1 -1 0 1 -1 -1 2 1] [-2 1 1 -2 -1 -2 1 0 1 -1 1 -3 6 2 0 2 0 -1 -1 1 -4 -1] [-2 2 1 -1 -2 -1 1 0 -1 -1 -2 0 2 6 -1 1 -2 1 -1 -1 -2 -1] [ 0 -1 -1 0 0 0 1 1 1 0 1 -1 0 -1 4 0 0 -1 0 0 0 0] [-1 -1 2 -2 -1 -1 -1 0 0 0 0 -1 2 1 0 4 2 -1 0 1 -2 0] [ 1 -2 1 0 0 0 -2 -1 1 0 1 0 0 -2 0 2 4 -1 0 1 0 1] [-1 1 -2 0 0 0 0 -1 0 0 0 1 -1 1 -1 -1 -1 4 1 -2 1 -2] [-1 -1 -1 -2 -1 1 0 0 -1 1 -1 -1 -1 -1 0 0 0 1 4 -1 1 -1] [ 1 -1 2 0 0 0 0 1 0 0 0 -1 1 -1 0 1 1 -2 -1 4 0 2] [ 2 -1 -1 2 1 2 -1 0 -1 1 -1 2 -4 -2 0 -2 0 1 1 0 6 1] [ 2 -2 2 2 1 2 1 0 1 -1 -1 1 -1 -1 0 0 1 -2 -1 2 1 6] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 108. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 1 0 2 -1 0 -2 2 -1 0 -1 -2 2 -1 -2 2 2 -2 1] [ 2 4 0 2 -1 -1 0 0 -1 -2 2 1 1 -1 -2 2 1 -2 2 2 0 0] [-1 0 6 -3 -2 2 -1 -2 -2 -1 -1 -1 0 1 1 -1 -1 2 -1 1 2 2] [ 2 2 -3 6 0 -2 0 1 1 -1 3 0 2 0 0 3 0 -2 3 2 -2 -1] [ 1 -1 -2 0 4 -1 1 1 2 0 0 -1 -2 0 0 0 -1 0 0 0 -1 -1] [ 0 -1 2 -2 -1 4 1 -2 -2 1 -1 -1 0 -1 -1 -1 -1 1 -1 -1 1 1] [ 2 0 -1 0 1 1 4 0 1 -1 0 -1 0 0 -2 0 -1 0 0 0 -2 1] [-1 0 -2 1 1 -2 0 4 1 1 0 1 0 0 1 0 1 0 0 0 -1 -1] [ 0 -1 -2 1 2 -2 1 1 4 -1 0 0 0 1 0 0 0 0 0 0 -1 -1] [-2 -2 -1 -1 0 1 -1 1 -1 4 -1 0 -1 -1 1 -1 0 1 -1 -2 1 -1] [ 2 2 -1 3 0 -1 0 0 0 -1 4 -1 1 0 0 2 0 -1 2 2 0 0] [-1 1 -1 0 -1 -1 -1 1 0 0 -1 4 0 -1 0 0 2 -1 0 -1 1 -1] [ 0 1 0 2 -2 0 0 0 0 -1 1 0 4 1 0 1 0 0 1 1 0 1] [-1 -1 1 0 0 -1 0 0 1 -1 0 -1 1 4 2 0 -1 2 0 0 0 1] [-2 -2 1 0 0 -1 -2 1 0 1 0 0 0 2 6 -1 -1 2 -1 0 0 1] [ 2 2 -1 3 0 -1 0 0 0 -1 2 0 1 0 -1 4 -1 -1 2 2 0 0] [-1 1 -1 0 -1 -1 -1 1 0 0 0 2 0 -1 -1 -1 4 -1 0 -1 1 -1] [-2 -2 2 -2 0 1 0 0 0 1 -1 -1 0 2 2 -1 -1 4 -1 -1 2 1] [ 2 2 -1 3 0 -1 0 0 0 -1 2 0 1 0 -1 2 0 -1 4 2 -1 0] [ 2 2 1 2 0 -1 0 0 0 -2 2 -1 1 0 0 2 -1 -1 2 4 -1 1] [-2 0 2 -2 -1 1 -2 -1 -1 1 0 1 0 0 0 0 1 2 -1 -1 6 -1] [ 1 0 2 -1 -1 1 1 -1 -1 -1 0 -1 1 1 1 0 -1 1 0 1 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = true LatDB = - 109. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 -1 -1 1 2 -2 -1 1 0 1 1 2 2 2 1 -1 -1 -2 2] [ 1 4 1 -1 -2 -2 2 0 0 -1 -1 1 2 -1 2 2 0 1 1 -1 -2 0] [-2 1 4 -2 1 -1 1 -2 1 1 -1 0 1 -1 0 0 -1 -1 0 1 1 -2] [ 1 -1 -2 4 0 0 0 2 -1 1 2 1 0 2 -1 1 1 1 1 -1 0 0] [-1 -2 1 0 4 0 0 -1 0 0 0 -1 -1 0 0 0 0 -1 0 1 1 0] [-1 -2 -1 0 0 4 -2 0 1 0 0 -1 -1 1 -1 -2 -1 0 -1 0 2 0] [ 1 2 1 0 0 -2 4 1 -1 -1 0 0 1 0 2 3 1 1 1 -1 -2 0] [ 2 0 -2 2 -1 0 1 4 -2 0 2 0 0 2 0 2 2 2 0 -2 -2 0] [-2 0 1 -1 0 1 -1 -2 4 1 -2 1 0 -1 0 -1 -2 0 1 1 2 -1] [-1 -1 1 1 0 0 -1 0 1 4 0 1 0 1 -1 0 -1 0 0 0 2 -2] [ 1 -1 -1 2 0 0 0 2 -2 0 4 -1 0 1 -2 0 2 0 -1 0 -1 0] [ 0 1 0 1 -1 -1 0 0 1 1 -1 4 1 0 0 0 -1 0 1 0 1 -1] [ 1 2 1 0 -1 -1 1 0 0 0 0 1 4 1 2 2 1 1 0 -1 0 0] [ 1 -1 -1 2 0 1 0 2 -1 1 1 0 1 4 1 2 1 2 0 -2 1 0] [ 2 2 0 -1 0 -1 2 0 0 -1 -2 0 2 1 6 4 0 1 1 -1 0 2] [ 2 2 0 1 0 -2 3 2 -1 0 0 0 2 2 4 6 1 2 2 -2 -1 1] [ 2 0 -1 1 0 -1 1 2 -2 -1 2 -1 1 1 0 1 4 1 -1 -1 -2 1] [ 1 1 -1 1 -1 0 1 2 0 0 0 0 1 2 1 2 1 4 1 -2 -1 0] [-1 1 0 1 0 -1 1 0 1 0 -1 1 0 0 1 2 -1 1 4 -1 0 0] [-1 -1 1 -1 1 0 -1 -2 1 0 0 0 -1 -2 -1 -2 -1 -2 -1 4 2 0] [-2 -2 1 0 1 2 -2 -2 2 2 -1 1 0 1 0 -1 -2 -1 0 2 6 -1] [ 2 0 -2 0 0 0 0 0 -1 -2 0 -1 0 0 2 1 1 0 0 0 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 110. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 1 2 0 0 -1 0 1 1 2 0 -2 2 -1 0 -2 0 0 -1] [ 0 4 -1 -2 0 0 -2 2 0 2 0 -1 0 0 0 0 0 -2 0 2 1 0] [ 1 -1 4 0 -1 2 1 0 1 0 1 2 1 1 1 0 -1 2 0 0 1 1] [ 0 -2 0 4 -1 0 2 -2 0 -2 1 -1 0 -1 -1 -1 1 1 -1 -2 -1 1] [ 1 0 -1 -1 4 -1 -1 -1 -1 -1 -1 0 1 -1 -2 2 1 0 0 -1 0 -1] [ 2 0 2 0 -1 4 0 0 1 0 2 2 1 0 -1 1 -2 0 -1 0 0 1] [ 0 -2 1 2 -1 0 4 -1 1 -1 1 1 0 1 0 -1 -1 1 0 -1 -1 1] [ 0 2 0 -2 -1 0 -1 4 1 2 -1 0 -1 1 2 0 -1 -1 1 2 0 0] [-1 0 1 0 -1 1 1 1 4 0 0 0 0 1 0 0 -1 0 2 0 0 2] [ 0 2 0 -2 -1 0 -1 2 0 4 -1 0 0 0 2 0 -1 -1 0 2 0 0] [ 1 0 1 1 -1 2 1 -1 0 -1 4 0 1 0 -2 -1 0 0 -1 -1 1 0] [ 1 -1 2 -1 0 2 1 0 0 0 0 6 1 0 1 1 -3 2 0 0 0 0] [ 2 0 1 0 1 1 0 -1 0 0 1 1 4 -1 -1 1 0 0 0 0 1 0] [ 0 0 1 -1 -1 0 1 1 1 0 0 0 -1 4 0 0 -1 0 0 1 1 0] [-2 0 1 -1 -2 -1 0 2 0 2 -2 1 -1 0 6 -2 -1 0 2 2 -1 1] [ 2 0 0 -1 2 1 -1 0 0 0 -1 1 1 0 -2 4 0 0 -1 0 0 0] [-1 0 -1 1 1 -2 -1 -1 -1 -1 0 -3 0 -1 -1 0 4 0 0 -1 1 0] [ 0 -2 2 1 0 0 1 -1 0 -1 0 2 0 0 0 0 0 4 0 -1 1 0] [-2 0 0 -1 0 -1 0 1 2 0 -1 0 0 0 2 -1 0 0 4 0 0 1] [ 0 2 0 -2 -1 0 -1 2 0 2 -1 0 0 1 2 0 -1 -1 0 4 1 0] [ 0 1 1 -1 0 0 -1 0 0 0 1 0 1 1 -1 0 1 1 0 1 4 -1] [-1 0 1 1 -1 1 1 0 2 0 0 0 0 0 1 0 0 0 1 0 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = true LatDB = - 111. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 -2 -1 -1 1 -1 1 0 -1 0 -1 1 2 0 2 -1] [ 0 4 -1 -1 1 2 1 1 2 -1 -2 1 2 1 -2 -1 -1 1 -1 2 -1 0] [ 1 -1 4 0 0 0 0 0 0 -1 2 1 -1 1 1 -1 0 0 -1 -2 2 1] [ 2 -1 0 4 -2 -1 0 -2 -1 0 2 -2 -1 -1 -1 0 0 1 2 0 2 -1] [-2 1 0 -2 4 2 -1 2 1 1 -2 1 0 1 1 0 1 -1 -2 -1 0 2] [-1 2 0 -1 2 4 1 1 2 -1 -1 2 0 2 -1 0 -1 1 -1 1 0 1] [ 1 1 0 0 -1 1 4 -1 1 -1 0 1 2 1 -1 1 -1 2 1 1 1 0] [-2 1 0 -2 2 1 -1 4 2 1 -2 2 -1 1 1 0 0 -1 -2 -1 -2 0] [-1 2 0 -1 1 2 1 2 4 -1 -1 1 1 2 -1 0 0 1 -1 1 -1 0] [-1 -1 -1 0 1 -1 -1 1 -1 4 0 -1 0 0 2 0 0 -2 0 -2 -1 0] [ 1 -2 2 2 -2 -1 0 -2 -1 0 6 0 -1 -1 0 -1 -1 -1 1 -2 2 -1] [-1 1 1 -2 1 2 1 2 1 -1 0 6 -2 1 -1 -1 -1 0 -1 -1 0 1] [ 1 2 -1 -1 0 0 2 -1 1 0 -1 -2 6 0 -1 0 -1 1 1 1 -1 -1] [ 0 1 1 -1 1 2 1 1 2 0 -1 1 0 4 0 0 0 1 -1 0 0 1] [-1 -2 1 -1 1 -1 -1 1 -1 2 0 -1 -1 0 4 1 1 -2 -1 -2 0 1] [ 0 -1 -1 0 0 0 1 0 0 0 -1 -1 0 0 1 4 0 0 1 1 1 0] [-1 -1 0 0 1 -1 -1 0 0 0 -1 -1 -1 0 1 0 4 0 -1 -1 0 1] [ 1 1 0 1 -1 1 2 -1 1 -2 -1 0 1 1 -2 0 0 4 1 2 1 0] [ 2 -1 -1 2 -2 -1 1 -2 -1 0 1 -1 1 -1 -1 1 -1 1 4 0 1 -1] [ 0 2 -2 0 -1 1 1 -1 1 -2 -2 -1 1 0 -2 1 -1 2 0 6 0 0] [ 2 -1 2 2 0 0 1 -2 -1 -1 2 0 -1 0 0 1 0 1 1 0 6 1] [-1 0 1 -1 2 1 0 0 0 0 -1 1 -1 1 1 0 1 0 -1 0 1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 112. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 0 1 -1 0 -1 2 0 2 0 -1 0 2 -1 -2 1 -2 1] [ 2 6 1 1 2 2 -1 0 2 1 2 -1 -1 2 -1 2 0 0 -2 0 1 -2] [-1 1 6 -3 1 2 1 -2 2 2 -1 -1 1 -1 -2 2 -2 3 1 -3 -1 -3] [ 2 1 -3 6 -2 -1 1 1 -1 -1 2 2 1 2 1 -1 1 0 -2 0 -1 0] [ 0 2 1 -2 4 0 -2 0 1 0 1 -2 -1 0 0 0 -1 -1 1 1 1 0] [ 0 2 2 -1 0 4 -1 0 2 2 0 -1 -1 1 0 1 -1 0 -1 0 1 -1] [ 1 -1 1 1 -2 -1 4 -2 -1 0 0 1 3 -1 -1 0 1 2 0 -2 -3 0] [-1 0 -2 1 0 0 -2 4 -1 0 0 1 -3 1 1 -1 0 -2 0 2 3 1] [ 0 2 2 -1 1 2 -1 -1 4 0 0 -1 0 0 0 2 -2 0 0 0 0 -2] [-1 1 2 -1 0 2 0 0 0 4 0 -1 0 0 0 1 0 1 0 -1 0 -2] [ 2 2 -1 2 1 0 0 0 0 0 4 -1 1 1 0 -1 1 0 0 0 -1 0] [ 0 -1 -1 2 -2 -1 1 1 -1 -1 -1 4 -1 1 0 0 0 1 -1 -1 0 0] [ 2 -1 1 1 -1 -1 3 -3 0 0 1 -1 6 -2 -1 0 1 1 0 -1 -4 0] [ 0 2 -1 2 0 1 -1 1 0 0 1 1 -2 4 1 0 -1 1 -1 -1 2 -1] [-1 -1 -2 1 0 0 -1 1 0 0 0 0 -1 1 4 -1 -1 -2 0 1 1 1] [ 0 2 2 -1 0 1 0 -1 2 1 -1 0 0 0 -1 4 0 1 -1 -1 0 -2] [ 2 0 -2 1 -1 -1 1 0 -2 0 1 0 1 -1 -1 0 4 -1 -1 1 -1 2] [-1 0 3 0 -1 0 2 -2 0 1 0 1 1 1 -2 1 -1 6 1 -4 -1 -3] [-2 -2 1 -2 1 -1 0 0 0 0 0 -1 0 -1 0 -1 -1 1 4 -1 0 0] [ 1 0 -3 0 1 0 -2 2 0 -1 0 -1 -1 -1 1 -1 1 -4 -1 6 2 3] [-2 1 -1 -1 1 1 -3 3 0 0 -1 0 -4 2 1 0 -1 -1 0 2 6 0] [ 1 -2 -3 0 0 -1 0 1 -2 -2 0 0 0 -1 1 -2 2 -3 0 3 0 6] |Aut| = [ <2, 6>, <3, 1> ] Modular = false LatDB = - 113. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -1 1 -2 0 -1 2 -1 2 -1 1 -1 -2 1 2 1 -2 2 -1] [ 1 4 -1 -1 -2 2 -2 0 -2 1 0 2 -2 -1 0 -2 -1 2 2 -1 2 0] [ 2 -1 4 0 0 0 -1 0 0 0 -1 1 0 0 -1 -1 0 1 0 0 1 -1] [ 1 -1 0 4 1 -1 -1 0 1 0 0 -1 1 2 0 1 0 1 0 -2 -1 0] [-1 -2 0 1 4 -2 1 -1 2 -2 0 -2 2 0 1 2 1 0 0 1 0 -1] [ 1 2 0 -1 -2 4 -2 -1 -2 1 -1 1 -2 0 0 -2 -1 0 0 -1 1 1] [-2 -2 -1 -1 1 -2 6 2 2 1 0 0 2 1 -1 1 1 -3 0 2 -3 -1] [ 0 0 0 0 -1 -1 2 4 0 2 -1 2 0 0 -2 0 0 0 0 0 -2 0] [-1 -2 0 1 2 -2 2 0 4 0 1 -2 2 0 0 1 0 0 0 1 -1 0] [ 2 1 0 0 -2 1 1 2 0 6 -2 3 0 1 -3 -1 1 -1 1 0 -1 0] [-1 0 -1 0 0 -1 0 -1 1 -2 4 -2 0 0 1 0 -1 1 0 0 1 1] [ 2 2 1 -1 -2 1 0 2 -2 3 -2 6 0 0 -3 -2 1 0 2 -1 1 -1] [-1 -2 0 1 2 -2 2 0 2 0 0 0 4 0 0 1 1 -2 0 1 -1 0] [ 1 -1 0 2 0 0 1 0 0 1 0 0 0 4 -1 0 1 -1 0 -1 -1 -1] [-1 0 -1 0 1 0 -1 -2 0 -3 1 -3 0 -1 4 0 0 0 -1 0 1 0] [-2 -2 -1 1 2 -2 1 0 1 -1 0 -2 1 0 0 4 0 -1 -1 1 -2 0] [ 1 -1 0 0 1 -1 1 0 0 1 -1 1 1 1 0 0 4 -1 0 0 1 -1] [ 2 2 1 1 0 0 -3 0 0 -1 1 0 -2 -1 0 -1 -1 6 2 -2 3 0] [ 1 2 0 0 0 0 0 0 0 1 0 2 0 0 -1 -1 0 2 4 0 1 -1] [-2 -1 0 -2 1 -1 2 0 1 0 0 -1 1 -1 0 1 0 -2 0 4 -1 0] [ 2 2 1 -1 0 1 -3 -2 -1 -1 1 1 -1 -1 1 -2 1 3 1 -1 6 -1] [-1 0 -1 0 -1 1 -1 0 0 0 1 -1 0 -1 0 0 -1 0 -1 0 -1 4] |Aut| = [ <2, 6>, <3, 1> ] Modular = true LatDB = - 114. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 1 0 1 -2 0 2 1 1 1 0 1 0 -1 -1 1 0 0] [-2 4 -2 -1 -1 1 0 -2 1 0 -2 -1 0 -2 1 -1 -1 1 1 -2 -1 1] [ 2 -2 4 1 2 1 1 2 0 0 2 0 0 2 0 0 0 -2 0 2 0 0] [ 0 -1 1 4 2 -1 -1 -1 1 -1 -1 -1 -2 2 0 -1 -1 0 1 2 0 -1] [ 1 -1 2 2 4 -1 -1 1 0 0 1 0 0 1 0 0 0 -1 0 1 0 0] [ 1 1 1 -1 -1 4 1 0 -1 0 0 0 1 -1 0 -1 0 0 0 -1 0 0] [ 0 0 1 -1 -1 1 4 0 -1 -1 0 -1 1 0 1 1 -1 -2 -1 0 -1 -1] [ 1 -2 2 -1 1 0 0 6 1 2 2 1 2 2 0 -1 3 -1 0 2 0 -1] [-2 1 0 1 0 -1 -1 1 6 2 0 0 -1 0 1 -1 0 1 1 0 -1 1] [ 0 0 0 -1 0 0 -1 2 2 4 0 0 1 0 -1 0 2 1 -1 0 1 1] [ 2 -2 2 -1 1 0 0 2 0 0 6 3 0 1 1 1 0 0 -2 1 -1 1] [ 1 -1 0 -1 0 0 -1 1 0 0 3 4 1 -1 1 1 1 0 -1 -1 -1 0] [ 1 0 0 -2 0 1 1 2 -1 1 0 1 4 -1 0 1 1 -1 -1 -1 0 -1] [ 1 -2 2 2 1 -1 0 2 0 0 1 -1 -1 6 -1 -1 0 0 0 4 0 -1] [ 0 1 0 0 0 0 1 0 1 -1 1 1 0 -1 4 0 -1 -1 0 0 -2 0] [ 1 -1 0 -1 0 -1 1 -1 -1 0 1 1 1 -1 0 4 0 -1 -2 -1 0 1] [ 0 -1 0 -1 0 0 -1 3 0 2 0 1 1 0 -1 0 4 0 0 0 1 0] [-1 1 -2 0 -1 0 -2 -1 1 1 0 0 -1 0 -1 -1 0 4 0 0 1 1] [-1 1 0 1 0 0 -1 0 1 -1 -2 -1 -1 0 0 -2 0 0 4 0 0 0] [ 1 -2 2 2 1 -1 0 2 0 0 1 -1 -1 4 0 -1 0 0 0 6 1 -1] [ 0 -1 0 0 0 0 -1 0 -1 1 -1 -1 0 0 -2 0 1 1 0 1 4 0] [ 0 1 0 -1 0 0 -1 -1 1 1 1 0 -1 -1 0 1 0 1 0 -1 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 115. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 -2 -1 0 -1 1 0 -1 0 0 1 0 2 -1 0 1 2] [-2 4 -2 2 -2 -1 2 -1 0 0 -1 -1 2 1 0 0 1 0 0 -1 0 -1] [ 2 -2 4 -1 1 1 0 0 -1 -1 0 0 0 0 -1 1 -1 0 0 0 0 0] [-2 2 -1 4 -2 -1 2 -1 -1 1 0 0 0 0 -1 1 -1 -1 1 0 -1 -1] [ 1 -2 1 -2 4 0 -1 0 1 -1 1 1 0 0 1 -1 1 0 1 1 1 1] [-1 -1 1 -1 0 4 0 2 -1 1 -1 0 1 0 -1 0 -1 -1 0 0 0 -1] [-2 2 0 2 -1 0 4 0 0 0 -1 0 2 0 -1 0 0 -2 0 0 -1 -2] [-1 -1 0 -1 0 2 0 4 1 1 -1 0 -1 0 1 0 -1 -2 0 0 0 -1] [ 0 0 -1 -1 1 -1 0 1 4 0 0 1 -1 0 1 0 0 0 0 1 1 1] [-1 0 -1 1 -1 1 0 1 0 4 -1 -1 -1 1 0 0 0 0 -1 -1 -1 0] [ 1 -1 0 0 1 -1 -1 -1 0 -1 4 2 0 -2 0 -1 0 1 0 2 1 1] [ 0 -1 0 0 1 0 0 0 1 -1 2 4 -1 -2 0 0 -1 0 0 2 0 0] [-1 2 0 0 0 1 2 -1 -1 -1 0 -1 6 0 0 -1 2 0 0 -1 1 0] [ 0 1 0 0 0 0 0 0 0 1 -2 -2 0 4 1 0 0 0 1 -2 1 0] [ 0 0 -1 -1 1 -1 -1 1 1 0 0 0 0 1 4 -1 1 0 0 -1 1 1] [ 1 0 1 1 -1 0 0 0 0 0 -1 0 -1 0 -1 4 -1 0 0 0 0 1] [ 0 1 -1 -1 1 -1 0 -1 0 0 0 -1 2 0 1 -1 4 1 -1 -1 0 1] [ 2 0 0 -1 0 -1 -2 -2 0 0 1 0 0 0 0 0 1 4 -1 0 1 2] [-1 0 0 1 1 0 0 0 0 -1 0 0 0 1 0 0 -1 -1 4 0 1 0] [ 0 -1 0 0 1 0 0 0 1 -1 2 2 -1 -2 -1 0 -1 0 0 4 1 0] [ 1 0 0 -1 1 0 -1 0 1 -1 1 0 1 1 1 0 0 1 1 1 4 1] [ 2 -1 0 -1 1 -1 -2 -1 1 0 1 0 0 0 1 1 1 2 0 0 1 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 116. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 -1 1 -2 2 0 2 -1 2 2 -2 -1 -2 -2 2 -2 1 2 -1] [ 1 4 2 1 -2 2 1 0 0 1 1 1 1 -1 -1 1 -1 1 -2 1 0 -1] [ 1 2 4 0 0 2 0 0 0 1 1 1 0 -1 -2 1 0 1 0 2 0 -2] [-1 1 0 4 -2 1 0 0 0 -2 2 -2 1 1 0 2 1 -2 1 0 -1 0] [-1 -2 0 -2 4 -2 0 0 0 1 -1 1 -2 1 0 -1 1 1 1 0 -1 0] [ 1 2 2 1 -2 4 0 -1 0 -1 1 -1 1 -1 -1 1 -1 -1 -1 1 1 -1] [-2 1 0 0 0 0 4 -2 1 -1 1 -1 -1 1 1 1 1 -1 -1 -1 -2 1] [ 2 0 0 0 0 -1 -2 4 -1 2 -1 2 1 -1 -1 -1 -1 2 -1 1 0 -1] [ 0 0 0 0 0 0 1 -1 4 -1 0 1 0 1 0 0 0 1 -1 0 1 0] [ 2 1 1 -2 1 -1 -1 2 -1 6 0 4 1 -1 -1 -1 0 4 -1 1 0 -1] [-1 1 1 2 -1 1 1 -1 0 0 4 -1 0 1 -1 2 1 -1 0 1 -1 -1] [ 2 1 1 -2 1 -1 -1 2 1 4 -1 6 1 0 -2 -1 -1 4 -2 1 1 -1] [ 2 1 0 1 -2 1 -1 1 0 1 0 1 4 -1 0 -1 0 1 -1 0 1 0] [-2 -1 -1 1 1 -1 1 -1 1 -1 1 0 -1 4 1 1 1 -1 0 0 -1 0] [-1 -1 -2 0 0 -1 1 -1 0 -1 -1 -2 0 1 4 -1 1 -1 1 -2 -1 2] [-2 1 1 2 -1 1 1 -1 0 -1 2 -1 -1 1 -1 4 1 -1 1 1 -1 -1] [-2 -1 0 1 1 -1 1 -1 0 0 1 -1 0 1 1 1 4 -1 2 -1 -2 1] [ 2 1 1 -2 1 -1 -1 2 1 4 -1 4 1 -1 -1 -1 -1 6 -2 2 1 -1] [-2 -2 0 1 1 -1 -1 -1 -1 -1 0 -2 -1 0 1 1 2 -2 6 -1 -1 1] [ 1 1 2 0 0 1 -1 1 0 1 1 1 0 0 -2 1 -1 2 -1 4 1 -2] [ 2 0 0 -1 -1 1 -2 0 1 0 -1 1 1 -1 -1 -1 -2 1 -1 1 4 -1] [-1 -1 -2 0 0 -1 1 -1 0 -1 -1 -1 0 0 2 -1 1 -1 1 -2 -1 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 117. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -1 0 0 -2 0 0 0 0 -1 0 0 -2 1 -2 2 2 -2 2 2] [ 0 4 -2 -2 -2 -1 -1 -2 1 1 1 0 -2 1 0 -2 -1 1 1 -2 0 2] [ 0 -2 4 1 1 2 -1 1 1 -2 -2 0 1 1 0 1 2 -2 -2 1 0 -1] [-1 -2 1 4 0 1 0 2 -1 -1 -1 -1 2 -1 0 2 1 -2 -2 2 0 -2] [ 0 -2 1 0 4 -1 2 0 0 -1 1 0 0 -1 0 0 0 1 0 2 0 0] [ 0 -1 2 1 -1 4 -2 1 1 0 -1 0 1 0 0 1 2 -1 -2 0 0 -1] [-2 -1 -1 0 2 -2 6 -1 -1 -1 0 1 -1 0 2 -1 0 1 1 3 -2 -2] [ 0 -2 1 2 0 1 -1 4 0 0 0 -1 2 -1 -1 2 0 -2 -2 1 1 0] [ 0 1 1 -1 0 1 -1 0 4 1 0 1 -1 1 -1 -1 0 -1 -1 -1 1 2] [ 0 1 -2 -1 -1 0 -1 0 1 4 1 1 0 -1 0 -1 -1 0 1 -1 0 2] [ 0 1 -2 -1 1 -1 0 0 0 1 4 -1 -1 -2 -1 -1 -1 1 1 0 1 1] [-1 0 0 -1 0 0 1 -1 1 1 -1 4 0 1 1 0 1 -1 -1 0 -1 -1] [ 0 -2 1 2 0 1 -1 2 -1 0 -1 0 4 0 -1 2 1 -1 -2 0 0 -1] [ 0 1 1 -1 -1 0 0 -1 1 -1 -2 1 0 4 0 -1 1 0 -1 -2 0 0] [-2 0 0 0 0 0 2 -1 -1 0 -1 1 -1 0 4 -1 1 0 0 2 -2 -1] [ 1 -2 1 2 0 1 -1 2 -1 -1 -1 0 2 -1 -1 4 0 -1 -1 1 1 -1] [-2 -1 2 1 0 2 0 0 0 -1 -1 1 1 1 1 0 4 -2 -3 1 -1 -3] [ 2 1 -2 -2 1 -1 1 -2 -1 0 1 -1 -1 0 0 -1 -2 6 3 -1 0 2] [ 2 1 -2 -2 0 -2 1 -2 -1 1 1 -1 -2 -1 0 -1 -3 3 6 -1 0 2] [-2 -2 1 2 2 0 3 1 -1 -1 0 0 0 -2 2 1 1 -1 -1 6 -1 -2] [ 2 0 0 0 0 0 -2 1 1 0 1 -1 0 0 -2 1 -1 0 0 -1 4 1] [ 2 2 -1 -2 0 -1 -2 0 2 2 1 -1 -1 0 -1 -1 -3 2 2 -2 1 6] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 118. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 -2 2 1 1 -2 0 0 0 -2 1 -1 1 1 -1 -2 2 1 2] [-1 4 0 -2 0 1 1 -2 2 1 -1 1 -1 -1 -1 -1 -2 -1 -1 0 -1 -2] [ 2 0 4 -1 0 2 0 1 -2 1 1 0 0 1 0 -1 -1 -1 0 2 1 0] [ 1 -2 -1 4 -1 0 -1 0 0 -2 1 0 -1 0 1 1 1 0 -1 0 0 1] [-2 0 0 -1 4 -2 0 -1 0 1 1 0 2 -1 1 -1 0 0 2 -2 -1 0] [ 2 1 2 0 -2 4 0 0 0 0 0 0 -2 1 -1 0 -1 -1 -2 2 0 0] [ 1 1 0 -1 0 0 4 0 1 0 -2 0 -2 0 -2 1 1 0 -2 1 0 1] [ 1 -2 1 0 -1 0 0 4 -1 0 0 0 0 2 0 0 0 0 0 1 1 0] [-2 2 -2 0 0 0 1 -1 6 -2 -2 -1 -2 0 0 0 -2 -1 -2 -1 -2 0] [ 0 1 1 -2 1 0 0 0 -2 4 0 1 1 0 -1 0 0 0 1 0 1 -1] [ 0 -1 1 1 1 0 -2 0 -2 0 4 1 2 -1 2 -1 0 -1 2 -1 0 0] [ 0 1 0 0 0 0 0 0 -1 1 1 4 1 -1 -1 0 0 0 -1 0 0 -2] [-2 -1 0 -1 2 -2 -2 0 -2 1 2 1 6 -2 2 0 0 1 4 -1 0 0] [ 1 -1 1 0 -1 1 0 2 0 0 -1 -1 -2 4 -1 -1 0 0 -1 1 0 0] [-1 -1 0 1 1 -1 -2 0 0 -1 2 -1 2 -1 4 -1 -1 0 2 -1 -1 1] [ 1 -1 -1 1 -1 0 1 0 0 0 -1 0 0 -1 -1 4 2 0 -1 1 1 1] [ 1 -2 -1 1 0 -1 1 0 -2 0 0 0 0 0 -1 2 4 1 0 0 1 1] [-1 -1 -1 0 0 -1 0 0 -1 0 -1 0 1 0 0 0 1 4 1 0 1 0] [-2 -1 0 -1 2 -2 -2 0 -2 1 2 -1 4 -1 2 -1 0 1 6 -1 0 0] [ 2 0 2 0 -2 2 1 1 -1 0 -1 0 -1 1 -1 1 0 0 -1 4 1 0] [ 1 -1 1 0 -1 0 0 1 -2 1 0 0 0 0 -1 1 1 1 0 1 4 -1] [ 2 -2 0 1 0 0 1 0 0 -1 0 -2 0 0 1 1 1 0 0 0 -1 6] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 119. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 2 1 1 1 2 -1 1 -1 -2 -1 -2 -1 0 -1 0 -1 1] [ 1 4 0 -2 0 0 -1 -1 -1 1 1 1 0 -1 1 0 -1 1 0 -1 0 -1] [-1 0 4 2 -2 -1 1 0 1 -2 2 1 0 2 -1 0 -1 1 -1 -1 -1 -2] [-2 -2 2 6 0 0 -1 -1 -1 0 -1 1 -1 0 0 2 2 -1 1 1 0 0] [ 1 0 -2 0 4 2 -1 -1 0 3 -1 -1 0 -3 0 0 0 0 1 0 1 2] [ 2 0 -1 0 2 4 1 1 0 3 -2 1 0 -3 0 0 0 0 -1 0 -1 1] [ 1 -1 1 -1 -1 1 4 1 2 0 0 1 1 1 -1 -1 -1 0 -1 0 -1 0] [ 1 -1 0 -1 -1 1 1 4 0 -1 0 1 0 1 -1 -1 -1 1 -2 -1 -1 0] [ 1 -1 1 -1 0 0 2 0 4 -1 0 0 1 0 -1 -1 -1 0 -1 0 -1 0] [ 2 1 -2 0 3 3 0 -1 -1 6 -2 1 0 -3 1 1 1 0 0 0 1 1] [-1 1 2 -1 -1 -2 0 0 0 -2 6 0 1 3 0 -1 -1 1 0 -1 0 -1] [ 1 1 1 1 -1 1 1 1 0 1 0 6 -1 0 0 0 1 -1 0 1 -2 -1] [-1 0 0 -1 0 0 1 0 1 0 1 -1 4 0 1 1 0 1 -1 -1 0 0] [-2 -1 2 0 -3 -3 1 1 0 -3 3 0 0 6 0 0 -1 1 0 -1 1 -2] [-1 1 -1 0 0 0 -1 -1 -1 1 0 0 1 0 4 2 1 -1 0 0 1 0] [-2 0 0 2 0 0 -1 -1 -1 1 -1 0 1 0 2 4 2 0 0 0 1 0] [-1 -1 -1 2 0 0 -1 -1 -1 1 -1 1 0 -1 1 2 4 -2 1 2 0 1] [ 0 1 1 -1 0 0 0 1 0 0 1 -1 1 1 -1 0 -2 4 -1 -2 1 -1] [-1 0 -1 1 1 -1 -1 -2 -1 0 0 0 -1 0 0 0 1 -1 4 1 1 1] [ 0 -1 -1 1 0 0 0 -1 0 0 -1 1 -1 -1 0 0 2 -2 1 4 0 1] [-1 0 -1 0 1 -1 -1 -1 -1 1 0 -2 0 1 1 1 0 1 1 0 4 0] [ 1 -1 -2 0 2 1 0 0 0 1 -1 -1 0 -2 0 0 1 -1 1 1 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 120. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 2 1 -2 -1 1 1 1 1 -1 2 0 -1 0 0 1 1 0] [-2 4 2 -1 1 -1 -1 2 0 1 -1 -1 0 1 -2 0 1 -1 0 0 1 1] [-2 2 4 0 2 -1 -1 2 1 -1 -2 -1 0 1 -2 1 1 -1 0 -1 1 1] [ 1 -1 0 4 0 -1 0 0 0 1 -1 0 0 1 -1 1 -1 0 1 0 2 0] [-1 1 2 0 4 1 1 1 -1 1 -1 1 0 2 -1 -1 -1 1 0 1 -1 2] [ 2 -1 -1 -1 1 6 1 -1 0 1 2 2 2 0 2 0 -2 0 0 2 -2 2] [ 1 -1 -1 0 1 1 4 -1 -2 0 1 2 1 1 1 -2 0 1 1 1 -2 1] [-2 2 2 0 1 -1 -1 4 1 1 -2 -2 -1 1 -2 1 1 0 1 -1 1 1] [-1 0 1 0 -1 0 -2 1 4 -2 -1 -2 -1 -1 0 2 1 0 -1 -2 0 0] [ 1 1 -1 1 1 1 0 1 -2 6 0 1 0 2 -1 -1 -1 1 2 1 1 1] [ 1 -1 -2 -1 -1 2 1 -2 -1 0 4 1 1 0 1 -1 0 0 0 1 -1 0] [ 1 -1 -1 0 1 2 2 -2 -2 1 1 4 2 1 1 -2 -2 0 1 2 -2 1] [ 1 0 0 0 0 2 1 -1 -1 0 1 2 4 0 0 0 -1 -2 0 1 0 1] [-1 1 1 1 2 0 1 1 -1 2 0 1 0 4 -1 -1 0 0 2 1 0 2] [ 2 -2 -2 -1 -1 2 1 -2 0 -1 1 1 0 -1 4 -1 -1 0 0 1 -2 0] [ 0 0 1 1 -1 0 -2 1 2 -1 -1 -2 0 -1 -1 4 1 -1 -1 -1 2 0] [-1 1 1 -1 -1 -2 0 1 1 -1 0 -2 -1 0 -1 1 4 0 0 -2 1 0] [ 0 -1 -1 0 1 0 1 0 0 1 0 0 -2 0 0 -1 0 4 0 0 -1 0] [ 0 0 0 1 0 0 1 1 -1 2 0 1 0 2 0 -1 0 0 4 0 0 1] [ 1 0 -1 0 1 2 1 -1 -2 1 1 2 1 1 1 -1 -2 0 0 4 0 1] [ 1 1 1 2 -1 -2 -2 1 0 1 -1 -2 0 0 -2 2 1 -1 0 0 6 -1] [ 0 1 1 0 2 2 1 1 0 1 0 1 1 2 0 0 0 0 1 1 -1 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 121. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 -1 -1 2 -1 -1 -1 2 0 1 -1 -1 1 -2 -1 1 2 2 1] [-2 4 -2 -2 1 2 -2 2 -1 2 0 -1 0 2 1 -2 0 0 -1 0 0 -1] [ 2 -2 4 1 0 -1 2 -1 1 -1 1 1 1 -1 -1 1 0 0 1 1 0 1] [ 2 -2 1 4 -1 -1 2 -2 -1 0 0 1 0 -1 0 2 -1 -1 0 0 2 1] [-1 1 0 -1 4 2 0 0 -1 -1 0 1 1 0 -1 -1 1 2 -1 0 0 1] [-1 2 -1 -1 2 4 -1 1 -2 1 0 1 0 1 -1 -1 0 0 -2 0 0 1] [ 2 -2 2 2 0 -1 4 -2 -1 -1 0 1 1 -2 -1 2 0 -1 1 0 2 0] [-1 2 -1 -2 0 1 -2 4 0 2 0 -1 0 2 1 -2 1 0 0 0 -2 0] [-1 -1 1 -1 -1 -2 -1 0 6 -2 0 -1 1 0 0 1 0 0 2 0 -1 0] [-1 2 -1 0 -1 1 -1 2 -2 6 0 1 -2 1 1 -1 0 0 -2 0 -1 -1] [ 2 0 1 0 0 0 0 0 0 0 4 -1 1 -1 0 0 -2 0 0 2 1 1] [ 0 -1 1 1 1 1 1 -1 -1 1 -1 4 0 -1 -2 0 1 1 -1 -1 -1 0] [ 1 0 1 0 1 0 1 0 1 -2 1 0 4 -1 0 0 0 -1 2 1 1 1] [-1 2 -1 -1 0 1 -2 2 0 1 -1 -1 -1 4 0 -1 0 0 -1 0 0 0] [-1 1 -1 0 -1 -1 -1 1 0 1 0 -2 0 0 4 -1 0 -1 1 0 -1 0] [ 1 -2 1 2 -1 -1 2 -2 1 -1 0 0 0 -1 -1 4 0 -1 0 0 2 1] [-2 0 0 -1 1 0 0 1 0 0 -2 1 0 0 0 0 4 1 0 -2 -2 0] [-1 0 0 -1 2 0 -1 0 0 0 0 1 -1 0 -1 -1 1 4 -1 0 -1 0] [ 1 -1 1 0 -1 -2 1 0 2 -2 0 -1 2 -1 1 0 0 -1 4 0 0 0] [ 2 0 1 0 0 0 0 0 0 0 2 -1 1 0 0 0 -2 0 0 4 2 1] [ 2 0 0 2 0 0 2 -2 -1 -1 1 -1 1 0 -1 2 -2 -1 0 2 6 0] [ 1 -1 1 1 1 1 0 0 0 -1 1 0 1 0 0 1 0 0 0 1 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 122. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 -1 2 1 1 0 -2 1 2 -2 -1 -2 -1 -1 -1 -1 1 -1 0] [ 0 4 1 0 -1 -2 -1 -1 -1 1 -1 -2 -1 -1 2 1 2 2 1 2 1 2] [ 1 1 4 0 -2 0 0 0 1 -1 0 0 -1 -1 -1 -1 0 -1 0 2 1 -1] [-1 0 0 4 -1 0 0 0 1 2 0 0 1 1 -1 1 2 -1 2 1 2 1] [-1 -1 -2 -1 4 0 -1 0 -1 -1 0 0 1 1 1 1 -1 1 -1 -2 -2 1] [ 2 -2 0 0 0 4 1 2 0 -2 1 2 0 1 -3 0 -2 -2 0 0 0 0] [ 1 -1 0 0 -1 1 4 -1 -1 1 -1 1 0 -1 0 -1 0 -1 0 0 -1 -2] [ 1 -1 0 0 0 2 -1 4 0 -1 2 1 0 2 -3 0 -1 -1 0 0 0 0] [ 0 -1 1 1 -1 0 -1 0 4 0 0 0 0 0 -1 0 0 -1 0 0 2 0] [-2 1 -1 2 -1 -2 1 -1 0 6 -2 -1 0 0 1 0 2 1 2 0 0 1] [ 1 -1 0 0 0 1 -1 2 0 -2 4 2 0 0 -1 -1 -1 -1 0 0 -1 0] [ 2 -2 0 0 0 2 1 1 0 -1 2 4 0 0 -2 -2 -2 -2 0 0 -2 0] [-2 -1 -1 1 1 0 0 0 0 0 0 0 4 1 0 1 0 -1 0 -1 1 0] [-1 -1 -1 1 1 1 -1 2 0 0 0 0 1 4 -1 1 0 -1 1 0 1 1] [-2 2 -1 -1 1 -3 0 -3 -1 1 -1 -2 0 -1 6 0 1 2 1 0 -1 1] [-1 1 -1 1 1 0 -1 0 0 0 -1 -2 1 1 0 4 2 1 0 0 2 2] [-1 2 0 2 -1 -2 0 -1 0 2 -1 -2 0 0 1 2 4 1 1 1 2 1] [-1 2 -1 -1 1 -2 -1 -1 -1 1 -1 -2 -1 -1 2 1 1 4 0 0 0 1] [-1 1 0 2 -1 0 0 0 0 2 0 0 0 1 1 0 1 0 4 1 1 2] [ 1 2 2 1 -2 0 0 0 0 0 0 0 -1 0 0 0 1 0 1 4 2 1] [-1 1 1 2 -2 0 -1 0 2 0 -1 -2 1 1 -1 2 2 0 1 2 6 0] [ 0 2 -1 1 1 0 -2 0 0 1 0 0 0 1 1 2 1 1 2 1 0 6] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 123. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 1 1 -2 0 1 -1 0 0 -1 0 -1 2 0 1 0 -1 1] [-2 4 2 1 1 -1 -1 2 1 0 1 1 0 0 -1 0 -1 1 -2 -1 -1 -1] [-2 2 4 1 2 0 -1 2 0 -1 1 1 -1 1 0 1 -2 1 -2 -1 0 -1] [ 0 1 1 4 2 -1 1 1 0 1 2 -1 -1 -1 1 1 0 -1 -1 1 -1 1] [-1 1 2 2 4 0 1 1 0 1 2 -1 -2 -1 0 2 -1 -1 -1 1 0 1] [ 1 -1 0 -1 0 4 0 0 1 1 0 0 -1 -1 0 1 -1 0 0 0 1 0] [ 1 -1 -1 1 1 0 4 -1 -1 1 1 -2 -1 -1 1 0 2 -1 1 1 1 1] [-2 2 2 1 1 0 -1 4 0 0 2 1 -1 1 -1 1 -2 1 -2 -1 0 0] [ 0 1 0 0 0 1 -1 0 4 1 0 0 -1 -1 -1 0 0 1 0 -1 -1 -1] [ 1 0 -1 1 1 1 1 0 1 4 0 -1 0 -1 -1 0 1 -1 -1 1 0 2] [-1 1 1 2 2 0 1 2 0 0 4 -1 -2 -1 1 2 -1 -1 -1 1 0 0] [ 0 1 1 -1 -1 0 -2 1 0 -1 -1 4 0 2 -1 0 -1 2 -1 -2 0 0] [ 0 0 -1 -1 -2 -1 -1 -1 -1 0 -2 0 4 0 0 -2 1 0 0 0 0 0] [-1 0 1 -1 -1 -1 -1 1 -1 -1 -1 2 0 4 -1 -1 -1 1 0 -1 0 0] [ 0 -1 0 1 0 0 1 -1 -1 -1 1 -1 0 -1 4 1 0 -2 0 1 1 0] [-1 0 1 1 2 1 0 1 0 0 2 0 -2 -1 1 4 -1 -1 -1 1 1 1] [ 2 -1 -2 0 -1 -1 2 -2 0 1 -1 -1 1 -1 0 -1 4 0 1 0 0 1] [ 0 1 1 -1 -1 0 -1 1 1 -1 -1 2 0 1 -2 -1 0 4 0 -2 0 -1] [ 1 -2 -2 -1 -1 0 1 -2 0 -1 -1 -1 0 0 0 -1 1 0 4 0 0 0] [ 0 -1 -1 1 1 0 1 -1 -1 1 1 -2 0 -1 1 1 0 -2 0 4 1 1] [-1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 1 1 0 0 0 1 4 0] [ 1 -1 -1 1 1 0 1 0 -1 2 0 0 0 0 0 1 1 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 124. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 1 -2 1 2 1 -2 -2 0 -1 1 0 0 0 1 0 -1 -1 1] [ 1 4 -1 1 0 0 0 2 -1 -2 -2 0 -1 1 1 0 1 0 0 -2 0 0] [ 0 -1 4 -2 -1 0 0 -1 2 1 2 1 1 0 0 -1 -2 0 -1 -1 0 0] [-2 1 -2 6 -1 1 -2 -1 -3 1 1 -1 -1 -1 -1 2 3 -2 0 -1 2 0] [ 1 0 -1 -1 4 -1 2 1 -1 -1 0 1 0 1 -1 -1 0 2 2 -1 -2 -1] [-2 0 0 1 -1 4 -2 -2 0 0 2 1 0 -1 0 0 0 -1 1 0 1 -1] [ 1 0 0 -2 2 -2 4 1 0 0 -1 1 0 2 0 0 0 2 1 0 -2 -1] [ 2 2 -1 -1 1 -2 1 4 0 -2 -2 0 0 1 0 0 0 1 -1 0 -1 0] [ 1 -1 2 -3 -1 0 0 0 4 0 0 0 0 0 1 0 -2 1 -1 1 -1 1] [-2 -2 1 1 -1 0 0 -2 0 4 1 -1 0 0 0 1 0 -1 -1 0 1 0] [-2 -2 2 1 0 2 -1 -2 0 1 6 1 1 -2 -2 -1 0 0 1 0 0 -2] [ 0 0 1 -1 1 1 1 0 0 -1 1 4 0 1 0 0 0 0 1 -1 0 -2] [-1 -1 1 -1 0 0 0 0 0 0 1 0 4 0 0 -1 -2 1 -1 1 0 0] [ 1 1 0 -1 1 -1 2 1 0 0 -2 1 0 4 0 1 0 0 0 -2 0 0] [ 0 1 0 -1 -1 0 0 0 1 0 -2 0 0 0 4 0 -1 0 -1 1 0 0] [ 0 0 -1 2 -1 0 0 0 0 1 -1 0 -1 1 0 4 2 -1 -1 0 1 1] [ 0 1 -2 3 0 0 0 0 -2 0 0 0 -2 0 -1 2 4 -1 1 -1 1 0] [ 1 0 0 -2 2 -1 2 1 1 -1 0 0 1 0 0 -1 -1 4 1 1 -2 0] [ 0 0 -1 0 2 1 1 -1 -1 -1 1 1 -1 0 -1 -1 1 1 4 -1 -1 -1] [-1 -2 -1 -1 -1 0 0 0 1 0 0 -1 1 -2 1 0 -1 1 -1 6 0 0] [-1 0 0 2 -2 1 -2 -1 -1 1 0 0 0 0 0 1 1 -2 -1 0 4 0] [ 1 0 0 0 -1 -1 -1 0 1 0 -2 -2 0 0 0 1 0 0 -1 0 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 125. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 1 1 1 0 1 2 1 1 2 -1 0 -1 1 -1 -1 1 0 -2] [ 1 4 -1 1 2 2 1 0 0 2 -1 1 2 -2 1 0 -1 -1 1 1 -1 -1] [ 0 -1 4 -1 -1 -1 1 1 1 1 1 1 1 1 1 1 -1 2 0 -2 -1 -1] [ 2 1 -1 4 0 1 1 -1 1 1 0 0 0 -1 1 0 0 0 -1 0 1 -2] [ 1 2 -1 0 4 2 -1 0 -1 0 0 0 2 0 -1 0 1 -1 1 1 -1 1] [ 1 2 -1 1 2 4 0 1 1 1 -1 1 0 -2 0 1 0 -1 0 1 -1 1] [ 1 1 1 1 -1 0 4 1 2 1 1 2 0 -1 2 -1 0 0 -1 0 0 -3] [ 0 0 1 -1 0 1 1 4 0 -1 -1 1 1 0 1 0 1 0 -1 0 0 0] [ 1 0 1 1 -1 1 2 0 4 2 1 2 -1 -1 0 1 -1 0 0 0 0 -2] [ 2 2 1 1 0 1 1 -1 2 6 1 1 2 -2 0 1 -2 -1 1 1 0 -2] [ 1 -1 1 0 0 -1 1 -1 1 1 4 1 0 0 -1 0 0 0 -1 0 0 -2] [ 1 1 1 0 0 1 2 1 2 1 1 4 0 -1 0 0 0 -1 0 1 -1 -2] [ 2 2 1 0 2 0 0 1 -1 2 0 0 6 0 0 0 0 -1 0 0 0 -1] [-1 -2 1 -1 0 -2 -1 0 -1 -2 0 -1 0 4 -1 0 1 1 0 -1 1 1] [ 0 1 1 1 -1 0 2 1 0 0 -1 0 0 -1 4 -1 -1 1 0 -1 -1 -1] [-1 0 1 0 0 1 -1 0 1 1 0 0 0 0 -1 4 -1 1 0 -1 0 1] [ 1 -1 -1 0 1 0 0 1 -1 -2 0 0 0 1 -1 -1 4 -1 -1 1 1 1] [-1 -1 2 0 -1 -1 0 0 0 -1 0 -1 -1 1 1 1 -1 4 0 -2 0 0] [-1 1 0 -1 1 0 -1 -1 0 1 -1 0 0 0 0 0 -1 0 4 0 -1 1] [ 1 1 -2 0 1 1 0 0 0 1 0 1 0 -1 -1 -1 1 -2 0 4 1 0] [ 0 -1 -1 1 -1 -1 0 0 0 0 0 -1 0 1 -1 0 1 0 -1 1 4 -1] [-2 -1 -1 -2 1 1 -3 0 -2 -2 -2 -2 -1 1 -1 1 1 0 1 0 -1 6] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 126. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 2 2 0 -1 1 1 2 1 1 -1 -1 -2 0 -1 -1 -2 2 0] [-2 4 -2 2 -2 -2 0 1 0 -1 -1 0 -1 0 2 0 1 1 -1 2 -1 1] [ 2 -2 4 -2 0 0 1 -1 1 1 1 1 2 0 0 -2 0 -1 -1 -2 0 -1] [-2 2 -2 4 0 -2 0 2 -1 -1 0 0 0 0 0 2 1 1 1 2 0 1] [ 2 -2 0 0 4 2 0 0 0 1 1 0 1 0 -2 1 0 -1 1 -1 2 0] [ 2 -2 0 -2 2 4 -1 -1 0 0 1 0 0 0 -2 -1 -1 -1 1 -1 2 0] [ 0 0 1 0 0 -1 4 0 2 2 -1 0 -1 -1 -1 0 -1 -1 -2 0 -2 0] [-1 1 -1 2 0 -1 0 4 1 1 0 0 0 0 0 1 2 -1 -1 1 0 2] [ 1 0 1 -1 0 0 2 1 4 2 0 1 -1 0 0 -1 0 -1 -3 0 0 0] [ 1 -1 1 -1 1 0 2 1 2 4 0 0 -1 0 0 0 0 -2 -2 -1 0 1] [ 2 -1 1 0 1 1 -1 0 0 0 4 2 0 0 0 -1 1 0 1 -1 3 1] [ 1 0 1 0 0 0 0 0 1 0 2 4 1 1 0 -2 1 -1 0 -1 1 1] [ 1 -1 2 0 1 0 -1 0 -1 -1 0 1 6 0 -1 0 0 -1 0 -1 1 -1] [-1 0 0 0 0 0 -1 0 0 0 0 1 0 4 0 -1 0 -1 2 -1 1 0] [-1 2 0 0 -2 -2 -1 0 0 0 0 0 -1 0 6 1 1 1 -2 1 0 0] [-2 0 -2 2 1 -1 0 1 -1 0 -1 -2 0 -1 1 6 0 1 0 2 0 0] [ 0 1 0 1 0 -1 -1 2 0 0 1 1 0 0 1 0 4 0 0 0 0 2] [-1 1 -1 1 -1 -1 -1 -1 -1 -2 0 -1 -1 -1 1 1 0 4 1 2 0 -1] [-1 -1 -1 1 1 1 -2 -1 -3 -2 1 0 0 2 -2 0 0 1 6 -1 1 0] [-2 2 -2 2 -1 -1 0 1 0 -1 -1 -1 -1 -1 1 2 0 2 -1 4 0 0] [ 2 -1 0 0 2 2 -2 0 0 0 3 1 1 1 0 0 0 0 1 0 6 0] [ 0 1 -1 1 0 0 0 2 0 1 1 1 -1 0 0 0 2 -1 0 0 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 127. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 -1 -1 -2 -1 0 -1 0 2 1 1 2 0 0 -2 1 2 -1 1] [ 0 4 1 -2 -1 -1 2 -1 0 -1 0 -2 1 -1 -2 1 -2 -2 1 2 -2 -1] [ 0 1 4 -2 1 1 1 1 0 1 0 0 -1 -2 1 0 1 -2 -1 1 -2 -2] [ 0 -2 -2 4 1 1 -2 1 0 1 0 0 -1 1 1 0 1 1 -1 -2 1 1] [-1 -1 1 1 4 2 0 2 1 2 1 1 -2 -1 1 0 2 1 -2 -1 0 0] [-1 -1 1 1 2 4 1 1 -1 1 -1 1 -1 0 2 1 2 1 -1 -1 -1 -1] [-2 2 1 -2 0 1 6 1 -2 1 -2 0 -1 -1 -1 1 -1 0 -1 1 -2 0] [-1 -1 1 1 2 1 1 4 -1 2 0 0 -2 -1 0 -1 2 1 -2 -1 0 0] [ 0 0 0 0 1 -1 -2 -1 4 0 2 -1 0 0 -1 -1 0 0 0 0 0 0] [-1 -1 1 1 2 1 1 2 0 4 -1 0 -2 -1 0 0 2 1 -2 -1 -1 0] [ 0 0 0 0 1 -1 -2 0 2 -1 4 -1 0 0 -1 0 0 0 0 0 2 0] [ 2 -2 0 0 1 1 0 0 -1 0 -1 6 0 0 4 0 1 -1 0 0 0 2] [ 1 1 -1 -1 -2 -1 -1 -2 0 -2 0 0 4 0 -1 1 -1 0 2 1 0 0] [ 1 -1 -2 1 -1 0 -1 -1 0 -1 0 0 0 4 0 -1 0 1 1 0 0 1] [ 2 -2 1 1 1 2 -1 0 -1 0 -1 4 -1 0 6 0 1 -1 -1 0 -1 1] [ 0 1 0 0 0 1 1 -1 -1 0 0 0 1 -1 0 4 0 -1 0 1 0 -1] [ 0 -2 1 1 2 2 -1 2 0 2 0 1 -1 0 1 0 4 1 -1 -1 0 -1] [-2 -2 -2 1 1 1 0 1 0 1 0 -1 0 1 -1 -1 1 6 0 -2 2 1] [ 1 1 -1 -1 -2 -1 -1 -2 0 -2 0 0 2 1 -1 0 -1 0 4 1 0 0] [ 2 2 1 -2 -1 -1 1 -1 0 -1 0 0 1 0 0 1 -1 -2 1 4 -2 0] [-1 -2 -2 1 0 -1 -2 0 0 -1 2 0 0 0 -1 0 0 2 0 -2 6 0] [ 1 -1 -2 1 0 -1 0 0 0 0 0 2 0 1 1 -1 -1 1 0 0 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 128. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 1 -2 1 -1 0 1 2 -1 1 -1 -1 2 2 1 -2 0 -2] [-2 4 -2 1 -1 -1 2 1 1 1 1 -2 -1 1 1 0 -1 -2 -2 2 1 1] [ 2 -2 4 -1 0 1 -2 1 0 -1 1 2 -1 -1 0 0 1 2 1 -2 -1 -1] [ 0 1 -1 4 1 1 1 1 0 0 -1 1 1 1 1 1 0 -1 -1 1 0 0] [ 1 -1 0 1 4 2 -1 -1 1 -1 1 2 2 0 0 0 2 1 1 -1 -1 -2] [ 1 -1 1 1 2 4 -1 0 1 -2 1 1 1 -1 -1 1 1 1 1 -1 0 -1] [-2 2 -2 1 -1 -1 4 1 0 1 -1 -2 1 0 1 1 -2 -2 -2 2 0 1] [ 1 1 1 1 -1 0 1 4 -1 1 1 0 -2 1 0 1 -1 -1 -2 1 0 -1] [-1 1 0 0 1 1 0 -1 4 -2 2 1 1 0 1 1 0 0 1 0 -1 1] [ 0 1 -1 0 -1 -2 1 1 -2 4 0 -2 -2 1 1 -1 0 -1 -2 1 1 0] [ 1 1 1 -1 1 1 -1 1 2 0 6 0 -1 0 -1 -1 2 1 0 -1 -1 -1] [ 2 -2 2 1 2 1 -2 0 1 -2 0 6 2 0 0 1 1 1 1 -2 -1 -1] [-1 -1 -1 1 2 1 1 -2 1 -2 -1 2 6 -2 0 1 0 1 1 -1 -1 0] [ 1 1 -1 1 0 -1 0 1 0 1 0 0 -2 4 0 0 0 -1 -1 1 1 0] [-1 1 0 1 0 -1 1 0 1 1 -1 0 0 0 4 0 -1 -1 0 1 -1 1] [-1 0 0 1 0 1 1 1 1 -1 -1 1 1 0 0 4 -1 -1 -1 1 0 1] [ 2 -1 1 0 2 1 -2 -1 0 0 2 1 0 0 -1 -1 4 2 1 -2 0 -1] [ 2 -2 2 -1 1 1 -2 -1 0 -1 1 1 1 -1 -1 -1 2 4 2 -2 0 -1] [ 1 -2 1 -1 1 1 -2 -2 1 -2 0 1 1 -1 0 -1 1 2 4 -2 -1 0] [-2 2 -2 1 -1 -1 2 1 0 1 -1 -2 -1 1 1 1 -2 -2 -2 4 1 1] [ 0 1 -1 0 -1 0 0 0 -1 1 -1 -1 -1 1 -1 0 0 0 -1 1 4 0] [-2 1 -1 0 -2 -1 1 -1 1 0 -1 -1 0 0 1 1 -1 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = true LatDB = - 129. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 0 0 -1 1 -2 0 -1 1 0 1 -1 2 -1 1 1 1 1] [ 2 4 -1 -1 1 1 -1 -2 0 -2 1 0 0 1 2 0 1 1 -1 -1 2 2] [ 0 -1 4 0 0 -2 2 2 0 2 -2 -1 1 0 -2 1 0 0 2 0 -2 -1] [ 0 -1 0 4 -2 0 -1 2 -1 -1 0 0 -1 -2 1 -1 -1 -2 2 2 -2 0] [ 0 1 0 -2 4 -1 0 -1 0 -1 0 1 -1 2 1 0 0 2 -1 -2 0 0] [ 0 1 -2 0 -1 4 -2 0 -1 -1 2 -1 -1 0 2 -1 1 0 -2 0 2 0] [ 0 -1 2 -1 0 -2 4 1 0 2 -2 -1 2 0 -3 0 1 0 0 0 -1 0] [-1 -2 2 2 -1 0 1 6 -1 1 -2 -2 -1 0 -1 0 1 -1 2 1 -1 -1] [ 1 0 0 -1 0 -1 0 -1 4 -1 -1 0 1 0 -1 0 0 -1 0 1 1 0] [-2 -2 2 -1 -1 -1 2 1 -1 6 -2 0 1 1 -2 2 0 1 1 -1 0 -2] [ 0 1 -2 0 0 2 -2 -2 -1 -2 4 1 -1 -1 1 0 -1 0 -2 0 1 0] [-1 0 -1 0 1 -1 -1 -2 0 0 1 4 -1 0 0 1 -2 0 -1 -1 0 0] [ 1 0 1 -1 -1 -1 2 -1 1 1 -1 -1 4 -1 -1 0 1 -1 1 1 0 1] [ 0 1 0 -2 2 0 0 0 0 1 -1 0 -1 4 0 1 1 2 -1 -2 2 0] [ 1 2 -2 1 1 2 -3 -1 -1 -2 1 0 -1 0 6 -2 0 0 1 0 0 1] [-1 0 1 -1 0 -1 0 0 0 2 0 1 0 1 -2 4 0 1 0 -1 1 0] [ 2 1 0 -1 0 1 1 1 0 0 -1 -2 1 1 0 0 4 0 0 0 2 1] [-1 1 0 -2 2 0 0 -1 -1 1 0 0 -1 2 0 1 0 4 -1 -2 1 0] [ 1 -1 2 2 -1 -2 0 2 0 1 -2 -1 1 -1 1 0 0 -1 6 1 -2 0] [ 1 -1 0 2 -2 0 0 1 1 -1 0 -1 1 -2 0 -1 0 -2 1 4 0 0] [ 1 2 -2 -2 0 2 -1 -1 1 0 1 0 0 2 0 1 2 1 -2 0 6 0] [ 1 2 -1 0 0 0 0 -1 0 -2 0 0 1 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 130. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 -1 1 0 2 -2 2 -1 1 1 1 -2 -1 0 1 1 -1 -1] [ 1 4 0 1 -1 0 -1 0 0 -2 0 -1 2 1 0 -2 1 -1 0 2 -1 1] [-1 0 4 0 2 0 1 0 0 1 0 -1 1 1 0 2 -1 -1 -2 1 -1 0] [ 1 1 0 4 -2 1 1 1 0 -1 2 1 1 -1 0 -2 -1 1 1 1 1 -1] [-1 -1 2 -2 4 -1 0 -1 0 2 0 -1 -1 1 0 3 -1 -1 -2 -1 -1 0] [-1 0 0 1 -1 4 -1 2 -1 1 -1 1 0 0 1 0 -1 1 0 0 0 0] [ 1 -1 1 1 0 -1 4 0 2 0 2 1 0 0 1 1 -2 1 -1 0 0 -2] [ 0 0 0 1 -1 2 0 4 1 1 0 1 0 0 2 0 -2 1 0 0 0 -1] [ 2 0 0 0 0 -1 2 1 4 0 2 0 0 0 2 0 -2 0 0 0 0 -2] [-2 -2 1 -1 2 1 0 1 0 4 0 1 -1 0 0 3 -2 1 -1 -1 0 0] [ 2 0 0 2 0 -1 2 0 2 0 4 0 0 0 0 0 -2 1 0 0 0 -2] [-1 -1 -1 1 -1 1 1 1 0 1 0 4 -1 -1 1 1 0 2 0 -1 1 -1] [ 1 2 1 1 -1 0 0 0 0 -1 0 -1 4 0 0 -2 0 0 0 2 -1 1] [ 1 1 1 -1 1 0 0 0 0 0 0 -1 0 4 0 1 -1 -1 -1 1 -2 1] [ 1 0 0 0 0 1 1 2 2 0 0 1 0 0 4 0 -1 1 -1 0 0 -2] [-2 -2 2 -2 3 0 1 0 0 3 0 1 -2 1 0 6 -1 0 -3 -2 -1 -1] [-1 1 -1 -1 -1 -1 -2 -2 -2 -2 -2 0 0 -1 -1 -1 6 0 0 0 1 1] [ 0 -1 -1 1 -1 1 1 1 0 1 1 2 0 -1 1 0 0 4 0 0 1 -1] [ 1 0 -2 1 -2 0 -1 0 0 -1 0 0 0 -1 -1 -3 0 0 4 0 1 1] [ 1 2 1 1 -1 0 0 0 0 -1 0 -1 2 1 0 -2 0 0 0 4 0 1] [-1 -1 -1 1 -1 0 0 0 0 0 0 1 -1 -2 0 -1 1 1 1 0 4 -1] [-1 1 0 -1 0 0 -2 -1 -2 0 -2 -1 1 1 -2 -1 1 -1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 2> ] Modular = false LatDB = - 131. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -2 -1 -1 -2 -2 1 0 0 -1 -2 1 2 1 -2 0 1 0 -2 0] [-2 6 2 1 -1 -2 0 1 -3 -2 1 0 1 -2 -1 -1 3 -1 0 1 2 -1] [ 0 2 4 0 0 0 -1 -1 -1 -2 0 1 0 0 0 -1 0 0 -1 0 2 1] [-2 1 0 4 2 0 2 2 1 0 1 0 2 -1 -2 0 2 -1 -1 1 0 1] [-1 -1 0 2 4 0 1 1 2 0 -1 0 1 1 -1 0 1 1 -2 -1 0 2] [-1 -2 0 0 0 4 1 0 1 1 0 1 1 0 -1 0 -2 0 -1 0 0 1] [-2 0 -1 2 1 1 4 2 0 1 0 0 1 0 -1 -1 2 0 -1 0 -1 1] [-2 1 -1 2 1 0 2 4 1 0 1 -1 1 0 -1 -1 1 -1 0 1 -1 1] [ 1 -3 -1 1 2 1 0 1 6 1 1 0 1 1 -1 2 -3 -1 0 1 -1 2] [ 0 -2 -2 0 0 1 1 0 1 4 1 -1 1 -1 0 0 0 1 0 -1 -1 0] [ 0 1 0 1 -1 0 0 1 1 1 4 0 1 -2 0 1 -1 -2 1 2 -1 0] [-1 0 1 0 0 1 0 -1 0 -1 0 4 0 0 -1 1 -1 -1 -1 0 2 0] [-2 1 0 2 1 1 1 1 1 1 1 0 4 -2 -1 0 1 -1 0 1 1 1] [ 1 -2 0 -1 1 0 0 0 1 -1 -2 0 -2 4 0 0 -1 1 -1 -1 0 1] [ 2 -1 0 -2 -1 -1 -1 -1 -1 0 0 -1 -1 0 4 -1 -1 0 2 0 -2 0] [ 1 -1 -1 0 0 0 -1 -1 2 0 1 1 0 0 -1 4 -1 -1 0 1 0 0] [-2 3 0 2 1 -2 2 1 -3 0 -1 -1 1 -1 -1 -1 6 1 -1 -1 1 0] [ 0 -1 0 -1 1 0 0 -1 -1 1 -2 -1 -1 1 0 -1 1 4 -1 -2 1 0] [ 1 0 -1 -1 -2 -1 -1 0 0 0 1 -1 0 -1 2 0 -1 -1 4 1 -1 -1] [ 0 1 0 1 -1 0 0 1 1 -1 2 0 1 -1 0 1 -1 -2 1 4 0 0] [-2 2 2 0 0 0 -1 -1 -1 -1 -1 2 1 0 -2 0 1 1 -1 0 6 -1] [ 0 -1 1 1 2 1 1 1 2 0 0 0 1 1 0 0 0 0 -1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 132. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 -2 1 -1 0 -1 -1 1 -1 1 1 -1 -2 1 -1 0] [ 0 4 -1 -1 1 2 1 1 0 -2 -1 1 -1 0 2 1 -2 -1 1 1 2 2] [ 1 -1 4 0 0 0 0 0 2 0 -1 1 0 -1 -2 1 2 1 -2 -1 -2 0] [ 2 -1 0 4 -2 -1 0 -2 -1 1 1 -1 -1 2 -1 0 2 -1 -1 1 -2 0] [-2 1 0 -2 4 2 -1 2 0 -1 -1 0 0 -2 2 0 -1 0 2 0 1 1] [-1 2 0 -1 2 4 1 1 0 -2 -2 0 0 -1 1 0 -2 0 1 0 2 2] [ 1 1 0 0 -1 1 4 -1 1 -2 -1 -1 1 1 1 1 0 1 0 -1 0 1] [-2 1 0 -2 2 1 -1 4 1 0 -1 1 -1 -1 1 -1 0 1 1 -1 1 1] [ 1 0 2 -1 0 0 1 1 4 -1 -2 0 -1 -1 0 1 1 2 -1 -2 0 1] [-1 -2 0 1 -1 -2 -2 0 -1 4 1 1 0 0 -2 -1 2 0 0 0 -2 -1] [ 0 -1 -1 1 -1 -2 -1 -1 -2 1 4 -1 1 1 -1 -1 1 -1 0 1 0 -1] [-1 1 1 -1 0 0 -1 1 0 1 -1 4 0 -1 -1 0 0 0 0 0 0 0] [-1 -1 0 -1 0 0 1 -1 -1 0 1 0 4 -1 -1 0 0 1 0 -1 0 -1] [ 1 0 -1 2 -2 -1 1 -1 -1 0 1 -1 -1 4 1 0 0 -1 0 1 -1 0] [-1 2 -2 -1 2 1 1 1 0 -2 -1 -1 -1 1 6 0 -2 -1 2 0 1 1] [ 1 1 1 0 0 0 1 -1 1 -1 -1 0 0 0 0 4 -1 0 -1 0 0 1] [ 1 -2 2 2 -1 -2 0 0 1 2 1 0 0 0 -2 -1 6 1 -1 -1 -3 0] [-1 -1 1 -1 0 0 1 1 2 0 -1 0 1 -1 -1 0 1 4 0 -2 0 0] [-2 1 -2 -1 2 1 0 1 -1 0 0 0 0 0 2 -1 -1 0 4 0 1 1] [ 1 1 -1 1 0 0 -1 -1 -2 0 1 0 -1 1 0 0 -1 -2 0 4 1 0] [-1 2 -2 -2 1 2 0 1 0 -2 0 0 0 -1 1 0 -3 0 1 1 6 1] [ 0 2 0 0 1 2 1 1 1 -1 -1 0 -1 0 1 1 0 0 1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 133. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 2 2 1 2 2 2 -1 1 2 1 -2 2 -1 1 1 -1 0 -1] [ 1 4 2 1 2 -1 0 2 -1 2 0 -1 1 -1 -1 1 -2 0 2 0 -1 1] [ 2 2 4 2 2 0 0 1 1 1 0 -1 1 -1 -1 1 -2 0 0 0 0 0] [ 1 1 2 4 1 0 1 2 2 2 -1 0 0 0 0 0 0 1 -1 -1 1 1] [ 2 2 2 1 4 1 0 1 0 1 0 -1 0 -1 0 1 -2 0 1 0 -1 0] [ 2 -1 0 0 1 4 0 1 2 1 0 0 1 0 -1 0 0 0 1 0 0 -2] [ 1 0 0 1 0 0 4 2 1 0 -2 1 0 1 0 -1 0 2 1 -2 -1 -1] [ 2 2 1 2 1 1 2 6 0 3 0 1 1 1 -1 0 -1 0 3 0 0 -1] [ 2 -1 1 2 0 2 1 0 6 0 -2 1 1 1 -1 0 2 2 -1 -2 0 0] [ 2 2 1 2 1 1 0 3 0 6 -1 0 2 0 -2 1 0 1 2 -1 1 0] [-1 0 0 -1 0 0 -2 0 -2 -1 4 -1 0 0 1 0 -1 -2 0 2 0 0] [ 1 -1 -1 0 -1 0 1 1 1 0 -1 4 0 2 -1 1 1 0 -1 -1 1 0] [ 2 1 1 0 0 1 0 1 1 2 0 0 4 0 -1 1 0 0 2 0 0 0] [ 1 -1 -1 0 -1 0 1 1 1 0 0 2 0 4 -1 1 1 1 -1 -1 1 0] [-2 -1 -1 0 0 -1 0 -1 -1 -2 1 -1 -1 -1 4 -2 0 -1 0 1 -1 1] [ 2 1 1 0 1 0 -1 0 0 1 0 1 1 1 -2 4 0 0 -1 0 1 1] [-1 -2 -2 0 -2 0 0 -1 2 0 -1 1 0 1 0 0 4 1 -1 -1 1 1] [ 1 0 0 1 0 0 2 0 2 1 -2 0 0 1 -1 0 1 4 0 -2 0 0] [ 1 2 0 -1 1 1 1 3 -1 2 0 -1 2 -1 0 -1 -1 0 6 0 -2 -1] [-1 0 0 -1 0 0 -2 0 -2 -1 2 -1 0 -1 1 0 -1 -2 0 4 1 0] [ 0 -1 0 1 -1 0 -1 0 0 1 0 1 0 1 -1 1 1 0 -2 1 4 0] [-1 1 0 1 0 -2 -1 -1 0 0 0 0 0 0 1 1 1 0 -1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 134. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 1 1 2 1 0 -2 1 1 0 -2 -1 -1 0 1 1 -1 -2] [ 1 4 0 1 0 0 0 2 2 1 1 0 1 0 -1 -1 1 -1 0 0 0 0] [-1 0 4 -2 0 0 0 1 0 1 2 0 -2 1 1 1 -1 0 1 0 0 2] [ 2 1 -2 6 1 0 0 2 -1 1 -2 0 0 -1 -3 -2 1 -1 2 0 0 -2] [-1 0 0 1 4 0 -2 1 -1 -1 0 -2 -1 1 0 1 1 1 -1 -2 -1 1] [ 1 0 0 0 0 4 -1 2 1 -1 -1 -1 0 -1 0 -1 -2 -1 1 -1 -2 -2] [ 1 0 0 0 -2 -1 4 0 1 0 0 2 1 0 0 -1 -1 -1 1 2 1 -1] [ 2 2 1 2 1 2 0 6 2 0 0 -1 0 -1 -1 -2 -1 0 2 -1 -2 0] [ 1 2 0 -1 -1 1 1 2 4 -1 1 0 1 -1 0 -1 0 -1 0 0 0 -1] [ 0 1 1 1 -1 -1 0 0 -1 4 1 0 0 1 0 0 1 -1 1 0 0 0] [-2 1 2 -2 0 -1 0 0 1 1 4 -1 0 1 1 0 1 0 0 -1 1 1] [ 1 0 0 0 -2 -1 2 -1 0 0 -1 4 1 0 0 0 -1 0 0 2 1 0] [ 1 1 -2 0 -1 0 1 0 1 0 0 1 4 0 0 -1 0 0 -1 0 0 -1] [ 0 0 1 -1 1 -1 0 -1 -1 1 1 0 0 4 1 2 0 1 -1 0 0 0] [-2 -1 1 -3 0 0 0 -1 0 0 1 0 0 1 4 1 -1 0 -1 0 0 1] [-1 -1 1 -2 1 -1 -1 -2 -1 0 0 0 -1 2 1 4 1 1 -2 0 0 2] [-1 1 -1 1 1 -2 -1 -1 0 1 1 -1 0 0 -1 1 4 0 -1 -1 1 1] [ 0 -1 0 -1 1 -1 -1 0 -1 -1 0 0 0 1 0 1 0 4 -1 0 0 2] [ 1 0 1 2 -1 1 1 2 0 1 0 0 -1 -1 -1 -2 -1 -1 4 0 0 -1] [ 1 0 0 0 -2 -1 2 -1 0 0 -1 2 0 0 0 0 -1 0 0 4 2 0] [-1 0 0 0 -1 -2 1 -2 0 0 1 1 0 0 0 0 1 0 0 2 4 0] [-2 0 2 -2 1 -2 -1 0 -1 0 1 0 -1 0 1 2 1 2 -1 0 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 135. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 -1 0 1 0 -1 0 -1 1 -1 -1 -1 0 -1 2 1 0 -1 -1] [ 0 4 2 -1 2 -2 1 2 2 2 1 -1 2 2 -1 -1 1 -1 -1 2 0 1] [ 0 2 4 0 2 -2 1 1 1 1 2 -1 0 1 0 -2 2 -1 -2 1 0 0] [ 2 -1 0 4 -1 1 0 -1 -1 -1 0 2 -1 -1 0 1 -1 2 0 -1 -1 0] [-1 2 2 -1 4 -2 1 2 2 2 2 0 2 2 -1 -2 2 -2 -2 2 0 0] [ 0 -2 -2 1 -2 4 0 -2 -1 -2 -1 0 -2 -1 1 2 -1 1 1 -2 1 -1] [ 1 1 1 0 1 0 4 0 1 0 0 -1 1 1 -1 -1 2 1 0 0 0 0] [ 0 2 1 -1 2 -2 0 4 2 2 0 -1 1 1 0 -1 0 -1 -1 2 0 1] [-1 2 1 -1 2 -1 1 2 4 1 0 0 2 2 -1 0 1 -1 -2 1 1 1] [ 0 2 1 -1 2 -2 0 2 1 4 0 -1 2 2 0 -1 0 -1 -1 2 0 1] [-1 1 2 0 2 -1 0 0 0 0 4 0 1 0 -1 -2 2 -1 -1 0 -1 -1] [ 1 -1 -1 2 0 0 -1 -1 0 -1 0 6 -1 0 -1 1 0 0 0 -1 -2 -1] [-1 2 0 -1 2 -2 1 1 2 2 1 -1 6 1 -1 -1 1 -1 0 2 0 2] [-1 2 1 -1 2 -1 1 1 2 2 0 0 1 4 -1 0 1 -1 -2 1 1 1] [-1 -1 0 0 -1 1 -1 0 -1 0 -1 -1 -1 -1 4 0 -1 -1 1 0 0 1] [ 0 -1 -2 1 -2 2 -1 -1 0 -1 -2 1 -1 0 0 4 -1 1 0 -1 1 1] [-1 1 2 -1 2 -1 2 0 1 0 2 0 1 1 -1 -1 4 -1 -1 0 0 0] [ 2 -1 -1 2 -2 1 1 -1 -1 -1 -1 0 -1 -1 -1 1 -1 4 1 -1 0 0] [ 1 -1 -2 0 -2 1 0 -1 -2 -1 -1 0 0 -2 1 0 -1 1 4 -1 -1 0] [ 0 2 1 -1 2 -2 0 2 1 2 0 -1 2 1 0 -1 0 -1 -1 4 1 1] [-1 0 0 -1 0 1 0 0 1 0 -1 -2 0 1 0 1 0 0 -1 1 4 0] [-1 1 0 0 0 -1 0 1 1 1 -1 -1 2 1 1 1 0 0 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 136. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 0 -1 0 1 1 0 -1 0 0 0 0 1 -1 1 0 -1 0 -1 1] [ 0 4 2 0 0 0 0 1 2 -2 1 2 2 2 -1 -1 1 -2 2 2 1 1] [-2 2 6 -2 -1 2 0 -1 0 -2 2 1 0 0 -2 0 -1 -1 3 1 2 1] [ 0 0 -2 4 0 -2 1 -1 1 1 -1 0 1 1 2 0 1 0 -2 0 -1 1] [-1 0 -1 0 4 -1 -2 2 -1 2 -1 0 -1 -1 -1 1 1 0 -1 0 -1 -1] [ 0 0 2 -2 -1 4 -1 0 0 0 0 0 0 0 -2 1 -2 0 1 0 0 0] [ 1 0 0 1 -2 -1 4 -2 1 -2 1 0 1 1 2 0 0 0 -1 0 1 1] [ 1 1 -1 -1 2 0 -2 4 0 0 0 1 0 0 -1 0 1 -1 1 1 -1 0] [ 0 2 0 1 -1 0 1 0 4 -1 1 2 2 2 0 -1 1 -2 0 2 0 0] [-1 -2 -2 1 2 0 -2 0 -1 6 -2 0 -1 -1 0 0 1 0 -3 0 -1 0] [ 0 1 2 -1 -1 0 1 0 1 -2 4 0 0 0 -1 -1 1 0 2 0 1 0] [ 0 2 1 0 0 0 0 1 2 0 0 4 1 2 0 -1 1 -2 0 2 0 1] [ 0 2 0 1 -1 0 1 0 2 -1 0 1 4 2 0 0 0 -2 0 1 1 1] [ 0 2 0 1 -1 0 1 0 2 -1 0 2 2 4 0 0 0 -1 0 1 1 1] [ 1 -1 -2 2 -1 -2 2 -1 0 0 -1 0 0 0 4 -1 0 0 -1 0 -1 1] [-1 -1 0 0 1 1 0 0 -1 0 -1 -1 0 0 -1 4 -1 1 -1 -1 0 0] [ 1 1 -1 1 1 -2 0 1 1 1 1 1 0 0 0 -1 4 -1 -1 1 0 1] [ 0 -2 -1 0 0 0 0 -1 -2 0 0 -2 -2 -1 0 1 -1 4 0 -2 0 -1] [-1 2 3 -2 -1 1 -1 1 0 -3 2 0 0 0 -1 -1 -1 0 6 0 1 0] [ 0 2 1 0 0 0 0 1 2 0 0 2 1 1 0 -1 1 -2 0 4 1 1] [-1 1 2 -1 -1 0 1 -1 0 -1 1 0 1 1 -1 0 0 0 1 1 4 0] [ 1 1 1 1 -1 0 1 0 0 0 0 1 1 1 1 0 1 -1 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 137. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 2 -1 1 -1 2 1 -1 0 2 2 2 -2 -1 2 -2 1] [ 1 4 -2 0 0 1 2 1 2 0 1 -1 0 -1 2 2 2 -2 1 2 -2 -1] [-1 -2 4 0 0 1 -1 -1 0 1 -2 -1 0 1 -2 0 0 0 -1 0 0 -1] [ 1 0 0 4 2 -2 1 -1 0 -2 -1 2 0 0 2 2 1 -2 1 2 -1 0] [ 2 0 0 2 4 -1 2 -2 0 -1 1 1 0 0 1 1 2 -1 -1 1 -2 0] [-1 1 1 -2 -1 4 0 0 0 1 -1 -3 1 -1 -1 -1 1 1 -1 -1 -1 -1] [ 2 2 -1 1 2 0 4 0 1 0 2 1 -1 0 2 1 3 -1 -1 1 -3 -1] [-1 1 -1 -1 -2 0 0 4 1 0 1 1 -1 1 0 0 -1 0 1 0 1 0] [ 1 2 0 0 0 0 1 1 4 1 1 0 -1 0 1 3 1 -3 1 3 -1 0] [-1 0 1 -2 -1 1 0 0 1 4 1 -2 -1 1 -1 0 0 0 -1 0 0 0] [ 2 1 -2 -1 1 -1 2 1 1 1 6 1 -1 2 1 1 2 -1 -1 1 -2 1] [ 1 -1 -1 2 1 -3 1 1 0 -2 1 6 0 1 1 0 -1 -1 0 0 1 1] [-1 0 0 0 0 1 -1 -1 -1 -1 -1 0 4 0 0 -1 -1 1 0 -1 1 0] [ 0 -1 1 0 0 -1 0 1 0 1 2 1 0 4 0 0 0 0 -1 0 0 1] [ 2 2 -2 2 1 -1 2 0 1 -1 1 1 0 0 4 2 1 -2 1 2 -1 1] [ 2 2 0 2 1 -1 1 0 3 0 1 0 -1 0 2 6 1 -4 1 4 -2 0] [ 2 2 0 1 2 1 3 -1 1 0 2 -1 -1 0 1 1 6 -2 -1 2 -4 -1] [-2 -2 0 -2 -1 1 -1 0 -3 0 -1 -1 1 0 -2 -4 -2 6 -1 -4 2 0] [-1 1 -1 1 -1 -1 -1 1 1 -1 -1 0 0 -1 1 1 -1 -1 4 1 1 0] [ 2 2 0 2 1 -1 1 0 3 0 1 0 -1 0 2 4 2 -4 1 6 -1 0] [-2 -2 0 -1 -2 -1 -3 1 -1 0 -2 1 1 0 -1 -2 -4 2 1 -1 6 1] [ 1 -1 -1 0 0 -1 -1 0 0 0 1 1 0 1 1 0 -1 0 0 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 138. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -2 -1 1 -1 0 -1 0 0 -1 1 -1 0 0 1 2 -1 0 -1 -1] [ 0 4 -2 0 -2 1 0 2 -1 0 2 1 0 1 0 2 -1 1 -1 2 2 0] [ 0 -2 4 1 2 -1 0 0 2 0 0 -1 1 0 0 -1 0 -1 0 0 -2 1] [-2 0 1 4 1 -1 1 0 1 1 0 -1 0 1 1 -1 -2 -2 -1 0 0 0] [-1 -2 2 1 4 0 0 0 2 0 0 0 0 0 1 -2 1 -2 0 0 -2 0] [ 1 1 -1 -1 0 4 1 0 0 1 0 1 1 1 1 1 1 0 -1 0 1 -2] [-1 0 0 1 0 1 4 -1 1 0 -1 0 1 2 0 0 1 0 0 -1 2 0] [ 0 2 0 0 0 0 -1 4 1 -1 2 0 -1 0 1 1 -1 0 -1 2 1 1] [-1 -1 2 1 2 0 1 1 4 0 0 -1 1 1 0 0 0 -1 -1 0 -1 1] [ 0 0 0 1 0 1 0 -1 0 4 -1 -1 1 1 0 0 0 0 0 -1 0 -1] [ 0 2 0 0 0 0 -1 2 0 -1 4 0 0 -1 1 1 -1 0 -1 2 0 1] [-1 1 -1 -1 0 1 0 0 -1 -1 0 4 0 0 -1 0 1 0 1 0 0 -1] [ 1 0 1 0 0 1 1 -1 1 1 0 0 4 0 0 0 1 0 0 0 -1 0] [-1 1 0 1 0 1 2 0 1 1 -1 0 0 4 -1 1 0 0 -1 0 2 0] [ 0 0 0 1 1 1 0 1 0 0 1 -1 0 -1 4 -1 -1 -2 0 1 0 0] [ 0 2 -1 -1 -2 1 0 1 0 0 1 0 0 1 -1 4 0 1 -1 1 2 1] [ 1 -1 0 -2 1 1 1 -1 0 0 -1 1 1 0 -1 0 4 1 1 -1 0 0] [ 2 1 -1 -2 -2 0 0 0 -1 0 0 0 0 0 -2 1 1 4 0 0 1 0] [-1 -1 0 -1 0 -1 0 -1 -1 0 -1 1 0 -1 0 -1 1 0 4 -1 0 1] [ 0 2 0 0 0 0 -1 2 0 -1 2 0 0 0 1 1 -1 0 -1 4 1 1] [-1 2 -2 0 -2 1 2 1 -1 0 0 0 -1 2 0 2 0 1 0 1 6 0] [-1 0 1 0 0 -2 0 1 1 -1 1 -1 0 0 0 1 0 0 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 139. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 -2 0 -1 -1 1 -1 1 1 0 -1 -1 -1 -2 1 -1 2 -1 1 0] [ 2 4 -2 -2 1 -1 -1 1 -2 0 1 -1 -1 -1 -1 -2 -1 -2 1 -1 1 1] [-1 -2 4 0 -1 1 -1 0 0 -1 0 0 1 0 0 1 1 2 -1 -1 -1 1] [-2 -2 0 4 1 0 2 -2 2 0 0 0 0 0 1 2 -1 1 -1 2 0 -2] [ 0 1 -1 1 4 1 2 1 0 0 2 1 1 -2 0 0 -1 1 0 2 -1 1] [-1 -1 1 0 1 4 2 2 0 1 0 1 1 -1 0 0 1 2 -1 0 -1 2] [-1 -1 -1 2 2 2 6 -1 1 1 -1 2 1 -1 2 2 -1 0 -1 3 -1 -1] [ 1 1 0 -2 1 2 -1 6 0 1 1 1 1 -1 0 -1 2 0 -1 0 -1 4] [-1 -2 0 2 0 0 1 0 4 1 0 0 1 1 1 1 1 1 0 1 -1 -1] [ 1 0 -1 0 0 1 1 1 1 4 1 0 1 1 1 0 2 -1 0 1 -1 1] [ 1 1 0 0 2 0 -1 1 0 1 4 0 1 -1 0 -1 1 0 0 1 -1 1] [ 0 -1 0 0 1 1 2 1 0 0 0 4 0 0 1 1 0 1 -1 1 -1 0] [-1 -1 1 0 1 1 1 1 1 1 1 0 4 0 1 1 1 0 -1 2 -2 2] [-1 -1 0 0 -2 -1 -1 -1 1 1 -1 0 0 4 1 1 0 0 0 -1 0 -1] [-1 -1 0 1 0 0 2 0 1 1 0 1 1 1 4 2 0 -2 -2 2 -1 0] [-2 -2 1 2 0 0 2 -1 1 0 -1 1 1 1 2 4 0 0 -2 2 -1 0] [ 1 -1 1 -1 -1 1 -1 2 1 2 1 0 1 0 0 0 4 0 0 0 -1 2] [-1 -2 2 1 1 2 0 0 1 -1 0 1 0 0 -2 0 0 6 1 -1 0 0] [ 2 1 -1 -1 0 -1 -1 -1 0 0 0 -1 -1 0 -2 -2 0 1 4 -2 1 -1] [-1 -1 -1 2 2 0 3 0 1 1 1 1 2 -1 2 2 0 -1 -2 6 -1 0] [ 1 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -2 0 -1 -1 -1 0 1 -1 4 -2] [ 0 1 1 -2 1 2 -1 4 -1 1 1 0 2 -1 0 0 2 0 -1 0 -2 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 140. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 0 2 0 0 -1 0 -1 -1 -1 1 2 2 1 -2 0 2] [ 1 4 0 0 0 0 1 1 -1 0 -2 -1 -1 1 1 2 1 0 2 0 1 2] [ 2 0 4 -2 0 -1 1 2 0 -1 1 1 0 -1 0 -1 2 1 0 -1 -1 2] [-2 0 -2 4 -1 2 0 0 1 0 1 -1 0 2 0 0 -2 -2 0 2 0 -2] [ 1 0 0 -1 4 1 -2 0 1 0 -2 1 0 -1 0 0 -1 2 -1 -2 -1 1] [-1 0 -1 2 1 4 0 0 2 0 -1 1 0 1 0 0 -1 -1 0 1 0 -1] [ 0 1 1 0 -2 0 4 0 0 0 1 0 0 1 1 1 1 0 2 0 1 0] [ 2 1 2 0 0 0 0 4 0 0 1 -1 0 0 -1 0 1 1 1 -1 0 2] [ 0 -1 0 1 1 2 0 0 4 1 0 1 -1 0 0 0 -1 -1 0 1 -1 -2] [ 0 0 -1 0 0 0 0 0 1 4 1 -1 -1 1 1 1 -1 1 0 -1 1 -2] [-1 -2 1 1 -2 -1 1 1 0 1 6 0 0 0 1 -1 -1 1 -1 -1 -1 -1] [ 0 -1 1 -1 1 1 0 -1 1 -1 0 4 -1 -2 0 0 0 1 -1 -1 -2 1] [-1 -1 0 0 0 0 0 0 -1 -1 0 -1 4 1 -1 -1 0 -1 -1 0 1 0] [-1 1 -1 2 -1 1 1 0 0 1 0 -2 1 4 0 1 0 -1 0 1 2 -2] [-1 1 0 0 0 0 1 -1 0 1 1 0 -1 0 4 0 -1 0 0 0 0 0] [ 1 2 -1 0 0 0 1 0 0 1 -1 0 -1 1 0 4 1 1 1 -1 1 1] [ 2 1 2 -2 -1 -1 1 1 -1 -1 -1 0 0 0 -1 1 4 0 1 0 1 2] [ 2 0 1 -2 2 -1 0 1 -1 1 1 1 -1 -1 0 1 0 6 0 -4 0 2] [ 1 2 0 0 -1 0 2 1 0 0 -1 -1 -1 0 0 1 1 0 4 0 1 1] [-2 0 -1 2 -2 1 0 -1 1 -1 -1 -1 0 1 0 -1 0 -4 0 6 1 -2] [ 0 1 -1 0 -1 0 1 0 -1 1 -1 -2 1 2 0 1 1 0 1 1 4 -1] [ 2 2 2 -2 1 -1 0 2 -2 -2 -1 1 0 -2 0 1 2 2 1 -2 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 141. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 1 0 1 0 1 -1 1 1 1 0 0 0 0 0 0] [ 1 4 -1 0 -1 2 1 2 1 0 0 1 0 -1 0 2 -1 0 0 0 1 -1] [-1 -1 4 -1 0 0 0 0 1 1 0 -1 -1 0 1 0 -1 0 0 0 1 -1] [-1 0 -1 4 -1 0 0 -2 -1 -2 1 1 1 0 0 0 -1 1 1 -1 -1 1] [ 1 -1 0 -1 4 -1 1 0 -1 0 1 0 -1 2 -1 -1 2 1 1 -1 -1 1] [ 1 2 0 0 -1 4 2 2 0 0 -1 0 -1 -1 0 2 -2 -1 -1 1 0 -2] [ 2 1 0 0 1 2 4 1 0 0 1 0 -2 1 0 1 -1 1 1 -1 0 -1] [ 1 2 0 -2 0 2 1 4 1 1 -1 -1 -1 0 0 2 -1 -1 0 1 0 -1] [ 0 1 1 -1 -1 0 0 1 4 0 1 -1 -1 0 2 0 0 1 1 -1 1 -1] [ 1 0 1 -2 0 0 0 1 0 4 -2 -1 0 -1 0 0 0 0 -1 0 0 -1] [ 0 0 0 1 1 -1 1 -1 1 -2 4 0 0 2 0 -1 1 2 2 -2 0 0] [ 1 1 -1 1 0 0 0 -1 -1 -1 0 4 1 0 0 1 0 -1 -1 0 1 1] [-1 0 -1 1 -1 -1 -2 -1 -1 0 0 1 4 0 0 0 1 0 -1 0 0 0] [ 1 -1 0 0 2 -1 1 0 0 -1 2 0 0 4 0 0 1 1 1 -1 0 1] [ 1 0 1 0 -1 0 0 0 2 0 0 0 0 0 4 0 -1 0 1 0 0 0] [ 1 2 0 0 -1 2 1 2 0 0 -1 1 0 0 0 4 -1 -1 -1 1 1 0] [ 0 -1 -1 -1 2 -2 -1 -1 0 0 1 0 1 1 -1 -1 4 1 0 -1 0 1] [ 0 0 0 1 1 -1 1 -1 1 0 2 -1 0 1 0 -1 1 4 2 -2 0 0] [ 0 0 0 1 1 -1 1 0 1 -1 2 -1 -1 1 1 -1 0 2 4 -2 -1 1] [ 0 0 0 -1 -1 1 -1 1 -1 0 -2 0 0 -1 0 1 -1 -2 -2 4 1 0] [ 0 1 1 -1 -1 0 0 0 1 0 0 1 0 0 0 1 0 0 -1 1 4 -1] [ 0 -1 -1 1 1 -2 -1 -1 -1 -1 0 1 0 1 0 0 1 0 1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 142. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -2 1 2 1 2 1 -1 -1 2 -1 1 -1 -1 1 -1 -1 -2 1] [ 1 4 0 1 -2 0 0 0 0 0 1 1 0 -2 -1 0 -1 0 0 1 1 -1] [-1 0 4 -2 2 -2 -1 0 1 -2 1 1 -1 -1 1 -1 -1 1 0 2 -1 -1] [ 2 1 -2 6 -3 0 0 0 1 0 1 1 2 1 -2 1 -1 1 1 0 1 1] [-2 -2 2 -3 6 0 0 -1 1 0 1 1 0 0 0 -2 2 0 1 2 0 -1] [ 1 0 -2 0 0 4 2 -1 1 2 0 -1 1 0 -1 0 0 -1 0 0 1 0] [ 2 0 -1 0 0 2 4 1 2 1 0 -2 2 0 1 0 0 1 0 0 -1 0] [ 1 0 0 0 -1 -1 1 4 1 -1 -1 -1 1 -1 1 0 1 2 -1 0 -1 1] [ 2 0 1 1 1 1 2 1 6 -1 0 -1 3 -1 -1 -1 0 3 -1 3 0 -1] [ 1 0 -2 0 0 2 1 -1 -1 4 -1 0 1 0 1 0 0 -1 1 -2 -1 0] [-1 1 1 1 1 0 0 -1 0 -1 4 2 0 0 -2 0 0 0 2 2 2 0] [-1 1 1 1 1 -1 -2 -1 -1 0 2 4 0 0 -1 0 0 0 1 1 1 0] [ 2 0 -1 2 0 1 2 1 3 1 0 0 4 0 0 0 0 2 0 1 0 0] [-1 -2 -1 1 0 0 0 -1 -1 0 0 0 0 4 0 1 0 0 1 -1 1 1] [ 1 -1 1 -2 0 -1 1 1 -1 1 -2 -1 0 0 6 -1 -1 0 -1 -3 -4 1] [-1 0 -1 1 -2 0 0 0 -1 0 0 0 0 1 -1 4 0 0 0 0 1 0] [-1 -1 -1 -1 2 0 0 1 0 0 0 0 0 0 -1 0 4 0 0 0 1 1] [ 1 0 1 1 0 -1 1 2 3 -1 0 0 2 0 0 0 0 4 0 2 0 0] [-1 0 0 1 1 0 0 -1 -1 1 2 1 0 1 -1 0 0 0 4 0 1 0] [-1 1 2 0 2 0 0 0 3 -2 2 1 1 -1 -3 0 0 2 0 6 3 -2] [-2 1 -1 1 0 1 -1 -1 0 -1 2 1 0 1 -4 1 1 0 1 3 6 -1] [ 1 -1 -1 1 -1 0 0 1 -1 0 0 0 0 1 1 0 1 0 0 -2 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 143. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 0 1 -2 1 1 0 -1 -1 1 -1 -1 -2 2 0 -2 0 -1 -2] [ 0 4 2 0 0 1 1 1 -1 2 -2 2 1 2 -1 0 0 -2 0 2 0 -1] [ 0 2 6 1 2 2 1 2 -2 3 -3 1 2 1 -2 0 1 -3 -1 3 0 2] [ 0 0 1 4 2 2 1 2 1 0 1 0 -1 0 1 -1 -1 0 0 0 0 -1] [ 0 0 2 2 4 1 0 2 -1 0 -1 0 0 0 0 0 0 0 -1 0 -1 1] [ 1 1 2 2 1 4 0 2 1 1 -1 1 0 1 0 -1 1 -1 -1 1 1 0] [-2 1 1 1 0 0 4 -1 -1 1 1 1 -1 1 1 0 -2 -1 2 1 0 1] [ 1 1 2 2 2 2 -1 4 0 1 -1 1 1 1 -1 -1 0 -1 -1 1 0 0] [ 1 -1 -2 1 -1 1 -1 0 4 -1 2 0 -1 0 1 0 0 1 0 -1 0 -1] [ 0 2 3 0 0 1 1 1 -1 4 -1 1 2 2 -1 0 0 -2 0 2 0 1] [-1 -2 -3 1 -1 -1 1 -1 2 -1 6 0 -1 0 1 1 -3 1 2 -1 1 0] [-1 2 1 0 0 1 1 1 0 1 0 4 0 2 -1 1 -1 -2 0 1 1 1] [ 1 1 2 -1 0 0 -1 1 -1 2 -1 0 4 0 -1 0 1 -2 0 2 0 1] [-1 2 1 0 0 1 1 1 0 2 0 2 0 4 -1 1 -1 -1 0 1 1 1] [-1 -1 -2 1 0 0 1 -1 1 -1 1 -1 -1 -1 4 -1 -1 1 2 -1 -1 0] [-2 0 0 -1 0 -1 0 -1 0 0 1 1 0 1 -1 4 0 0 0 0 1 2] [ 2 0 1 -1 0 1 -2 0 0 0 -3 -1 1 -1 -1 0 4 0 -2 0 0 0] [ 0 -2 -3 0 0 -1 -1 -1 1 -2 1 -2 -2 -1 1 0 0 4 0 -2 0 -1] [-2 0 -1 0 -1 -1 2 -1 0 0 2 0 0 0 2 0 -2 0 4 0 0 1] [ 0 2 3 0 0 1 1 1 -1 2 -1 1 2 1 -1 0 0 -2 0 4 1 1] [-1 0 0 0 -1 1 0 0 0 0 1 1 0 1 -1 1 0 0 0 1 4 0] [-2 -1 2 -1 1 0 1 0 -1 1 0 1 1 1 0 2 0 -1 1 1 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 144. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 1 1 1 1 -1 -1 -2 0 0 -1 2 -1 0 1 0 0] [-2 4 -2 2 -2 1 1 0 -1 -1 0 2 0 1 -1 0 -1 1 0 -1 1 1] [ 2 -2 4 -1 1 0 -1 1 0 0 1 -1 0 -1 0 -1 1 0 1 0 0 1] [-2 2 -1 4 0 2 1 -1 0 -2 0 2 1 1 0 1 -2 2 1 -2 0 1] [ 1 -2 1 0 4 1 0 0 0 -1 -1 -1 -1 0 1 -1 -1 1 1 -1 -1 0] [-1 1 0 2 1 4 0 -1 -1 -2 0 2 -1 1 1 1 -2 2 0 -2 1 2] [ 1 1 -1 1 0 0 4 1 1 0 -2 1 0 0 0 -1 0 0 1 0 0 1] [ 1 0 1 -1 0 -1 1 4 -1 0 0 0 0 0 0 -2 2 0 1 0 -1 1] [ 1 -1 0 0 0 -1 1 -1 4 0 -1 -1 1 0 -1 0 1 0 1 0 0 -1] [ 1 -1 0 -2 -1 -2 0 0 0 4 0 -2 1 -2 0 0 1 -2 -1 2 0 -1] [-1 0 1 0 -1 0 -2 0 -1 0 4 1 1 0 1 1 0 -1 -1 0 1 0] [-1 2 -1 2 -1 2 1 0 -1 -2 1 6 -2 1 2 1 -1 1 -1 -2 0 2] [-2 0 0 1 -1 -1 0 0 1 1 1 -2 6 -2 0 0 0 -1 2 1 0 0] [ 0 1 -1 1 0 1 0 0 0 -2 0 1 -2 4 -1 1 0 1 -1 -1 1 0] [ 0 -1 0 0 1 1 0 0 -1 0 1 2 0 -1 4 0 -1 -1 0 0 -1 1] [-1 0 -1 1 -1 1 -1 -2 0 0 1 1 0 1 0 4 0 0 -2 0 1 0] [ 2 -1 1 -2 -1 -2 0 2 1 1 0 -1 0 0 -1 0 4 -1 0 1 0 0] [-1 1 0 2 1 2 0 0 0 -2 -1 1 -1 1 -1 0 -1 4 1 -2 0 1] [ 0 0 1 1 1 0 1 1 1 -1 -1 -1 2 -1 0 -2 0 1 4 -1 -1 1] [ 1 -1 0 -2 -1 -2 0 0 0 2 0 -2 1 -1 0 0 1 -2 -1 4 1 -1] [ 0 1 0 0 -1 1 0 -1 0 0 1 0 0 1 -1 1 0 0 -1 1 4 0] [ 0 1 1 1 0 2 1 1 -1 -1 0 2 0 0 1 0 0 1 1 -1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 145. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 0 0 -1 1 0 -1 2 2 1 -1 -1 -1 1 1 -1 1 1 2 1] [ 2 4 2 0 -1 1 0 1 0 2 1 0 -1 -1 -1 0 -1 0 -1 1 0 1] [ 2 2 4 1 1 0 1 0 -1 2 2 1 0 0 0 1 -1 -1 -1 0 2 1] [ 0 0 1 4 2 -1 1 1 -1 -1 -1 1 2 2 -1 2 -1 -1 -1 -1 0 1] [ 0 -1 1 2 4 -2 2 1 -2 0 -1 2 2 2 -1 2 0 -2 0 -2 1 0] [-1 1 0 -1 -2 4 -2 0 1 -1 1 -1 0 0 1 -2 0 1 -1 1 -2 1] [ 1 0 1 1 2 -2 4 0 -2 0 1 2 1 1 -2 1 0 -2 0 0 2 1] [ 0 1 0 1 1 0 0 4 -1 0 -2 0 1 1 -1 0 1 0 0 -1 -2 1] [-1 0 -1 -1 -2 1 -2 -1 4 1 -1 -2 -1 -1 2 0 -1 2 -1 0 0 -2] [ 2 2 2 -1 0 -1 0 0 1 6 0 -1 -2 -2 1 1 -1 1 -1 -1 1 -1] [ 2 1 2 -1 -1 1 1 -2 -1 0 6 0 -1 -1 -1 -1 1 0 1 1 2 1] [ 1 0 1 1 2 -1 2 0 -2 -1 0 4 1 2 -1 1 0 -2 0 0 1 1] [-1 -1 0 2 2 0 1 1 -1 -2 -1 1 4 2 -1 1 0 -2 -1 -1 0 1] [-1 -1 0 2 2 0 1 1 -1 -2 -1 2 2 4 -1 1 0 -1 -1 -1 0 1] [-1 -1 0 -1 -1 1 -2 -1 2 1 -1 -1 -1 -1 4 -1 -1 1 0 0 -1 -1] [ 1 0 1 2 2 -2 1 0 0 1 -1 1 1 1 -1 4 0 -1 -1 -1 2 0] [ 1 -1 -1 -1 0 0 0 1 -1 -1 1 0 0 0 -1 0 4 0 2 0 0 1] [-1 0 -1 -1 -2 1 -2 0 2 1 0 -2 -2 -1 1 -1 0 4 0 0 -1 -1] [ 1 -1 -1 -1 0 -1 0 0 -1 -1 1 0 -1 -1 0 -1 2 0 4 0 0 0] [ 1 1 0 -1 -2 1 0 -1 0 -1 1 0 -1 -1 0 -1 0 0 0 4 1 1] [ 2 0 2 0 1 -2 2 -2 0 1 2 1 0 0 -1 2 0 -1 0 1 6 -1] [ 1 1 1 1 0 1 1 1 -2 -1 1 1 1 1 -1 0 1 -1 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 146. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 0 0 2 2 2 -1 -2 -1 1 -2 -2 -1 1 -1 1 1 -1 -2] [ 1 4 2 0 0 0 1 0 1 1 -1 -2 2 -2 -2 -1 1 0 0 2 -1 0] [ 1 2 4 1 -1 1 1 0 1 0 0 0 0 0 -2 0 0 -1 1 0 -2 0] [-1 0 1 4 -1 2 1 -1 1 -1 1 2 -1 2 -1 1 -1 -1 0 0 0 0] [ 0 0 -1 -1 4 -1 0 0 0 -1 -1 -2 1 1 1 1 -1 1 -2 1 -1 0] [ 0 0 1 2 -1 4 2 1 1 -1 1 0 -1 2 0 0 1 -2 0 0 1 -1] [ 2 1 1 1 0 2 4 2 2 -1 -1 -1 1 0 -2 -1 1 -2 1 1 -1 -2] [ 2 0 0 -1 0 1 2 4 0 0 0 -1 0 0 -1 -2 1 -2 0 0 -1 -2] [ 2 1 1 1 0 1 2 0 4 -1 -2 -1 1 0 -1 1 0 0 1 1 0 -2] [-1 1 0 -1 -1 -1 -1 0 -1 4 0 -1 1 -1 0 -1 1 1 1 0 1 1] [-2 -1 0 1 -1 1 -1 0 -2 0 4 1 -2 2 0 0 -1 -1 -1 -1 0 1] [-1 -2 0 2 -2 0 -1 -1 -1 -1 1 6 -2 1 -1 0 0 0 1 -2 -1 1] [ 1 2 0 -1 1 -1 1 0 1 1 -2 -2 4 -1 0 -1 1 1 0 1 -1 -1] [-2 -2 0 2 1 2 0 0 0 -1 2 1 -1 6 1 1 -2 -1 -1 -1 -1 0] [-2 -2 -2 -1 1 0 -2 -1 -1 0 0 -1 0 1 6 1 0 2 -1 -2 2 0] [-1 -1 0 1 1 0 -1 -2 1 -1 0 0 -1 1 1 4 -1 1 -1 0 1 1] [ 1 1 0 -1 -1 1 1 1 0 1 -1 0 1 -2 0 -1 4 0 1 0 1 0] [-1 0 -1 -1 1 -2 -2 -2 0 1 -1 0 1 -1 2 1 0 4 0 0 1 1] [ 1 0 1 0 -2 0 1 0 1 1 -1 1 0 -1 -1 -1 1 0 4 -1 0 0] [ 1 2 0 0 1 0 1 0 1 0 -1 -2 1 -1 -2 0 0 0 -1 4 1 0] [-1 -1 -2 0 -1 1 -1 -1 0 1 0 -1 -1 -1 2 1 1 1 0 1 6 0] [-2 0 0 0 0 -1 -2 -2 -2 1 1 1 -1 0 0 1 0 1 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 147. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 0 -1 0 0 -1 -1 0 -1 -2 1 -1 2 -1 1 -2 -1 0] [-2 4 2 -1 -1 1 1 0 -1 1 0 1 1 2 -1 1 -1 1 -2 2 0 1] [-2 2 4 1 -2 1 0 0 -1 1 1 0 2 0 0 0 0 1 0 0 1 1] [ 0 -1 1 4 -1 -1 0 0 1 1 0 -1 1 -1 2 1 0 -1 2 -1 2 -1] [ 1 -1 -2 -1 4 1 0 0 -1 -1 1 -1 -2 0 0 -1 0 -1 -1 0 -1 1] [ 0 1 1 -1 1 4 1 -1 -2 -1 0 -1 1 0 0 -1 1 1 -1 0 -1 1] [-1 1 0 0 0 1 4 1 0 1 0 -1 0 1 1 2 0 -1 -1 1 -1 1] [ 0 0 0 0 0 -1 1 4 1 1 1 -1 -1 0 0 0 -1 -2 -1 0 0 1] [ 0 -1 -1 1 -1 -2 0 1 4 1 -1 -1 -1 0 0 0 0 0 0 0 1 -1] [-1 1 1 1 -1 -1 1 1 1 4 0 0 -1 1 1 1 -1 -1 -1 1 0 0] [-1 0 1 0 1 0 0 1 -1 0 4 -1 0 0 0 0 0 -1 0 0 0 1] [ 0 1 0 -1 -1 -1 -1 -1 -1 0 -1 4 1 0 0 1 0 0 0 0 -1 -1] [-1 1 2 1 -2 1 0 -1 -1 -1 0 1 4 0 0 1 0 1 1 0 1 -1] [-2 2 0 -1 0 0 1 0 0 1 0 0 0 4 -2 1 -2 1 -2 2 0 0] [ 1 -1 0 2 0 0 1 0 0 1 0 0 0 -2 4 1 1 -2 1 -1 0 0] [-1 1 0 1 -1 -1 2 0 0 1 0 1 1 1 1 4 0 -1 0 1 0 0] [ 2 -1 0 0 0 1 0 -1 0 -1 0 0 0 -2 1 0 4 0 1 -2 -1 1] [-1 1 1 -1 -1 1 -1 -2 0 -1 -1 0 1 1 -2 -1 0 4 0 1 1 0] [ 1 -2 0 2 -1 -1 -1 -1 0 -1 0 0 1 -2 1 0 1 0 4 -2 1 -1] [-2 2 0 -1 0 0 1 0 0 1 0 0 0 2 -1 1 -2 1 -2 4 1 0] [-1 0 1 2 -1 -1 -1 0 1 0 0 -1 1 0 0 0 -1 1 1 1 4 -1] [ 0 1 1 -1 1 1 1 1 -1 0 1 -1 -1 0 0 0 1 0 -1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 148. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 2 0 0 -1 0 -1 0 -1 0 1 0 0 2 2 -1 -2 2 0] [ 1 4 -1 1 2 -1 -1 -2 -1 -2 0 -1 -1 1 -1 -1 1 -1 -2 1 1 -1] [ 1 -1 4 -2 0 2 2 0 1 -1 1 1 -1 1 -1 -1 1 0 1 0 -1 -1] [ 0 1 -2 4 0 0 0 -1 -1 -1 0 0 1 -1 1 -1 1 0 0 0 1 1] [ 2 2 0 0 4 0 -1 0 -1 0 1 0 -1 2 -1 -1 1 0 -2 0 0 -1] [ 0 -1 2 0 0 4 2 0 1 0 2 1 0 1 0 -1 1 -1 1 1 0 -1] [ 0 -1 2 0 -1 2 4 -1 0 0 0 0 0 0 0 0 0 -1 2 1 -1 -1] [-1 -2 0 -1 0 0 -1 4 1 2 0 1 1 -1 1 1 -1 0 1 0 -2 0] [ 0 -1 1 -1 -1 1 0 1 4 -1 0 0 0 0 0 0 1 1 1 -1 -1 0] [-1 -2 -1 -1 0 0 0 2 -1 6 -1 -1 2 -1 2 2 -1 1 1 -1 -1 1] [ 0 0 1 0 1 2 0 0 0 -1 4 1 0 2 -1 -1 0 0 -1 0 0 -1] [-1 -1 1 0 0 1 0 1 0 -1 1 4 0 1 0 -2 0 -2 1 2 0 -1] [ 0 -1 -1 1 -1 0 0 1 0 2 0 0 4 -1 2 1 0 1 1 -1 1 1] [ 1 1 1 -1 2 1 0 -1 0 -1 2 1 -1 4 -1 -1 0 0 -1 0 1 -2] [ 0 -1 -1 1 -1 0 0 1 0 2 -1 0 2 -1 4 1 0 0 1 -1 1 1] [ 0 -1 -1 -1 -1 -1 0 1 0 2 -1 -2 1 -1 1 4 -1 1 0 -1 0 1] [ 2 1 1 1 1 1 0 -1 1 -1 0 0 0 0 0 -1 4 1 0 -1 1 1] [ 2 -1 0 0 0 -1 -1 0 1 1 0 -2 1 0 0 1 1 6 0 -4 1 2] [-1 -2 1 0 -2 1 2 1 1 1 -1 1 1 -1 1 0 0 0 4 0 -1 0] [-2 1 0 0 0 1 1 0 -1 -1 0 2 -1 0 -1 -1 -1 -4 0 6 0 -2] [ 2 1 -1 1 0 0 -1 -2 -1 -1 0 0 1 1 1 0 1 1 -1 0 6 0] [ 0 -1 -1 1 -1 -1 -1 0 0 1 -1 -1 1 -2 1 1 1 2 0 -2 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 149. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 -2 1 1 2 1 -1 2 -1 1 0 2 -1 -1 0 1 2] [-2 4 -2 2 -1 1 2 -2 0 -1 0 0 0 1 -1 0 -1 -1 -1 1 1 0] [ 2 -2 4 -2 0 -1 -2 1 -1 2 0 0 1 0 0 -1 1 0 1 1 0 0] [-2 2 -2 4 0 2 2 -2 -1 -1 -1 0 0 1 -1 1 -2 -1 0 0 1 -1] [ 1 -1 0 0 4 0 0 1 1 1 1 1 1 -2 1 0 -1 1 -1 -1 -1 1] [-1 1 -1 2 0 4 1 -1 1 1 1 0 0 -1 -2 -1 -1 -2 0 0 2 -2] [-2 2 -2 2 0 1 4 -2 -1 -2 0 1 -1 1 0 1 -2 0 -1 -1 0 -1] [ 1 -2 1 -2 1 -1 -2 6 2 2 0 2 0 -2 1 -1 2 3 2 -1 -3 2] [ 1 0 -1 -1 1 1 -1 2 6 0 2 0 2 -2 1 -2 2 -1 -1 -1 1 0] [ 2 -1 2 -1 1 1 -2 2 0 6 1 0 1 -2 -2 -1 1 1 0 1 0 2] [ 1 0 0 -1 1 1 0 0 2 1 4 -1 1 -1 -1 0 1 0 -2 -1 0 1] [-1 0 0 0 1 0 1 2 0 0 -1 4 0 -1 1 -1 -1 1 1 0 -1 0] [ 2 0 1 0 1 0 -1 0 2 1 1 0 4 -1 1 -1 1 -2 -1 1 2 1] [-1 1 0 1 -2 -1 1 -2 -2 -2 -1 -1 -1 4 0 1 0 0 0 0 0 -1] [ 1 -1 0 -1 1 -2 0 1 1 -2 -1 1 1 0 4 0 0 0 0 -1 0 0] [ 0 0 -1 1 0 -1 1 -1 -2 -1 0 -1 -1 1 0 4 0 1 -1 -1 -1 2] [ 2 -1 1 -2 -1 -1 -2 2 2 1 1 -1 1 0 0 0 4 0 0 0 0 2] [-1 -1 0 -1 1 -2 0 3 -1 1 0 1 -2 0 0 1 0 6 1 -1 -4 2] [-1 -1 1 0 -1 0 -1 2 -1 0 -2 1 -1 0 0 -1 0 1 4 0 -1 -1] [ 0 1 1 0 -1 0 -1 -1 -1 1 -1 0 1 0 -1 -1 0 -1 0 4 2 0] [ 1 1 0 1 -1 2 0 -3 1 0 0 -1 2 0 0 -1 0 -4 -1 2 6 -2] [ 2 0 0 -1 1 -2 -1 2 0 2 1 0 1 -1 0 2 2 2 -1 0 -2 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 150. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 1 1 -1 0 -1 -1 0 1 -1 -1 0 1 -1 -1 2 1 1 2] [-1 4 -2 -1 0 1 0 1 2 0 0 -2 -1 -1 0 1 1 2 0 -2 0 0] [ 1 -2 6 3 2 -2 -2 -2 -2 -1 1 1 2 2 -1 -1 1 -1 0 1 1 0] [ 2 -1 3 6 1 -1 -1 -1 -1 1 2 2 1 1 1 1 -1 -2 0 2 2 0] [ 1 0 2 1 4 -1 -2 0 -2 -1 0 0 0 0 1 -1 1 0 0 0 0 2] [ 1 1 -2 -1 -1 4 0 2 2 1 -1 -1 0 0 -1 0 0 1 2 -1 -1 0] [-1 0 -2 -1 -2 0 4 -1 1 1 -1 0 0 0 -1 0 -2 0 -1 0 -1 -1] [ 0 1 -2 -1 0 2 -1 4 0 1 0 -1 0 0 1 0 0 1 1 -1 0 0] [-1 2 -2 -1 -2 2 1 0 4 1 0 -1 0 0 -1 0 0 1 0 -1 -1 -1] [-1 0 -1 1 -1 1 1 1 1 4 1 1 1 1 0 -1 0 -1 -1 1 -1 -2] [ 0 0 1 2 0 -1 -1 0 0 1 4 0 0 0 0 0 1 0 0 0 1 -1] [ 1 -2 1 2 0 -1 0 -1 -1 1 0 4 0 1 1 0 -1 -2 -1 2 0 0] [-1 -1 2 1 0 0 0 0 0 1 0 0 4 2 -1 -1 0 -1 -1 0 0 -1] [-1 -1 2 1 0 0 0 0 0 1 0 1 2 4 -1 -1 0 0 -1 0 0 -1] [ 0 0 -1 1 1 -1 -1 1 -1 0 0 1 -1 -1 4 0 -1 -1 0 1 0 1] [ 1 1 -1 1 -1 0 0 0 0 -1 0 0 -1 -1 0 4 0 0 0 0 2 1] [-1 1 1 -1 1 0 -2 0 0 0 1 -1 0 0 -1 0 4 1 0 -1 0 0] [-1 2 -1 -2 0 1 0 1 1 -1 0 -2 -1 0 -1 0 1 4 1 -2 0 0] [ 2 0 0 0 0 2 -1 1 0 -1 0 -1 -1 -1 0 0 0 1 4 -1 0 1] [ 1 -2 1 2 0 -1 0 -1 -1 1 0 2 0 0 1 0 -1 -2 -1 4 1 0] [ 1 0 1 2 0 -1 -1 0 -1 -1 1 0 0 0 0 2 0 0 0 1 4 0] [ 2 0 0 0 2 0 -1 0 -1 -2 -1 0 -1 -1 1 1 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 151. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 2 2 2 -1 0 2 -2 -1 0 -1 0 1 -2 2 1 -2 -2 0] [ 1 4 0 2 -1 2 2 1 0 0 1 1 -1 1 1 -1 0 -1 -1 1 -2 1] [-2 0 4 -1 0 -1 -2 1 1 -1 0 1 1 1 -1 -1 0 0 -1 0 1 1] [ 2 2 -1 4 1 1 1 0 -1 0 -1 1 0 1 0 -1 -1 1 0 -1 -2 1] [ 2 -1 0 1 6 0 0 0 0 1 -4 -1 0 -1 0 1 -1 4 0 -4 1 0] [ 2 2 -1 1 0 6 0 -2 -1 1 2 1 -1 1 1 2 1 -2 -1 2 0 2] [ 2 2 -2 1 0 0 6 0 -1 2 -1 0 -2 0 2 0 0 1 0 -1 -3 0] [-1 1 1 0 0 -2 0 4 0 0 0 0 0 0 0 -1 -1 0 -1 0 -1 0] [ 0 0 1 -1 0 -1 -1 0 4 0 -1 -1 0 -1 0 0 -1 1 0 -1 1 -1] [ 2 0 -1 0 1 1 2 0 0 4 -1 0 -1 0 1 2 -1 1 0 -1 -2 1] [-2 1 0 -1 -4 2 -1 0 -1 -1 6 1 0 2 1 0 2 -4 -1 4 0 1] [-1 1 1 1 -1 1 0 0 -1 0 1 4 -1 2 0 0 1 -2 -2 1 0 2] [ 0 -1 1 0 0 -1 -2 0 0 -1 0 -1 4 -1 -1 -1 -1 0 2 0 0 0] [-1 1 1 1 -1 1 0 0 -1 0 2 2 -1 4 0 0 1 -1 -2 1 0 2] [ 0 1 -1 0 0 1 2 0 0 1 1 0 -1 0 4 0 1 -1 0 1 -1 1] [ 1 -1 -1 -1 1 2 0 -1 0 2 0 0 -1 0 0 4 1 0 -1 0 1 1] [-2 0 0 -1 -1 1 0 -1 -1 -1 2 1 -1 1 1 1 4 -2 -1 2 2 1] [ 2 -1 0 1 4 -2 1 0 1 1 -4 -2 0 -1 -1 0 -2 6 1 -4 0 -1] [ 1 -1 -1 0 0 -1 0 -1 0 0 -1 -2 2 -2 0 -1 -1 1 4 -1 -1 -1] [-2 1 0 -1 -4 2 -1 0 -1 -1 4 1 0 1 1 0 2 -4 -1 6 1 1] [-2 -2 1 -2 1 0 -3 -1 1 -2 0 0 0 0 -1 1 2 0 -1 1 6 -1] [ 0 1 1 1 0 2 0 0 -1 1 1 2 0 2 1 1 1 -1 -1 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 152. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 1 -2 1 1 1 0 1 0 0 -1 -1 1 0 1 0 -1] [ 1 4 -1 0 1 -1 2 1 0 1 1 -1 -1 1 1 0 0 -1 1 0 -1 0] [-1 -1 4 -1 0 0 0 -1 1 -1 -1 -1 0 1 1 2 -1 0 -2 1 -1 2] [-1 0 -1 4 1 -1 0 0 -2 -1 1 2 0 -2 0 0 2 1 2 -2 1 -1] [ 2 1 0 1 4 -1 0 -1 1 0 1 1 0 -1 0 -1 -1 2 1 1 0 -1] [ 1 -1 0 -1 -1 4 -1 -1 0 1 0 -1 2 1 0 1 0 0 -1 0 1 0] [ 1 2 0 0 0 -1 4 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0] [-2 1 -1 0 -1 -1 0 4 0 0 -1 0 -1 0 -1 -1 0 -1 1 0 0 0] [ 1 0 1 -2 1 0 0 0 4 1 -1 0 -1 1 0 -1 -2 1 -1 2 -1 0] [ 1 1 -1 -1 0 1 0 0 1 4 -1 -1 1 1 -1 -1 -1 0 0 1 -1 0] [ 1 1 -1 1 1 0 0 -1 -1 -1 4 0 0 -1 1 0 0 0 0 -1 1 0] [ 0 -1 -1 2 1 -1 0 0 0 -1 0 4 -1 -1 0 -1 0 2 2 0 1 -2] [ 1 -1 0 0 0 2 -1 -1 -1 1 0 -1 4 -1 -1 0 0 0 -1 0 1 1] [ 0 1 1 -2 -1 1 0 0 1 1 -1 -1 -1 4 2 1 -1 -1 0 1 -2 0] [ 0 1 1 0 0 0 0 -1 0 -1 1 0 -1 2 4 2 0 -1 0 0 -1 0] [-1 0 2 0 -1 1 0 -1 -1 -1 0 -1 0 1 2 4 1 -1 -1 -1 0 1] [-1 0 -1 2 -1 0 0 0 -2 -1 0 0 0 -1 0 1 4 -1 1 -2 1 0] [ 1 -1 0 1 2 0 0 -1 1 0 0 2 0 -1 -1 -1 -1 4 1 1 1 -2] [ 0 1 -2 2 1 -1 0 1 -1 0 0 2 -1 0 0 -1 1 1 4 -1 0 -2] [ 1 0 1 -2 1 0 0 0 2 1 -1 0 0 1 0 -1 -2 1 -1 4 0 0] [ 0 -1 -1 1 0 1 0 0 -1 -1 1 1 1 -2 -1 0 1 1 0 0 4 -1] [-1 0 2 -1 -1 0 0 0 0 0 0 -2 1 0 0 1 0 -2 -2 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 153. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -2 -1 -2 -2 -1 -2 0 1 0 1 -1 -1 -2 2 2 2 -2 -1 0] [-1 4 -1 1 2 0 0 0 0 1 1 1 -1 -1 0 2 -2 1 -2 -1 1 1] [ 2 -1 4 -1 -2 -2 0 -1 -2 -1 1 -1 1 -1 0 0 0 1 1 -1 -1 -1] [-2 1 -1 6 3 1 3 -1 0 -2 2 1 -2 0 2 1 1 -3 -1 3 2 -2] [-1 2 -2 3 6 2 0 1 0 -1 1 2 -1 0 1 -1 2 0 -2 0 1 -1] [-2 0 -2 1 2 4 0 2 2 0 0 1 -1 0 0 -1 0 0 -1 0 1 0] [-2 0 0 3 0 0 4 0 0 -1 1 -1 -1 1 2 1 -1 -3 -1 3 1 -1] [-1 0 -1 -1 1 2 0 4 1 0 0 -1 1 0 0 -2 0 0 -2 0 -1 0] [-2 0 -2 0 0 2 0 1 4 1 -2 0 0 1 0 1 0 -1 -1 1 0 1] [ 0 1 -1 -2 -1 0 -1 0 1 4 0 0 1 1 0 1 -1 1 0 -1 -1 1] [ 1 1 1 2 1 0 1 0 -2 0 6 1 0 -2 2 -2 0 1 0 -1 0 -1] [ 0 1 -1 1 2 1 -1 -1 0 0 1 4 -2 0 0 0 0 2 0 -2 1 0] [ 1 -1 1 -2 -1 -1 -1 1 0 1 0 -2 4 0 0 -1 1 0 0 0 -2 0] [-1 -1 -1 0 0 0 1 0 1 1 -2 0 0 4 1 1 0 -1 0 1 0 -1] [-1 0 0 2 1 0 2 0 0 0 2 0 0 1 4 0 0 -2 -1 1 0 -1] [-2 2 0 1 -1 -1 1 -2 1 1 -2 0 -1 1 0 6 -2 -1 -1 1 1 1] [ 2 -2 0 1 2 0 -1 0 0 -1 0 0 1 0 0 -2 6 -1 1 1 -1 -1] [ 2 1 1 -3 0 0 -3 0 -1 1 1 2 0 -1 -2 -1 -1 6 1 -4 0 1] [ 2 -2 1 -1 -2 -1 -1 -2 -1 0 0 0 0 0 -1 -1 1 1 4 -1 0 0] [-2 -1 -1 3 0 0 3 0 1 -1 -1 -2 0 1 1 1 1 -4 -1 6 1 -1] [-1 1 -1 2 1 1 1 -1 0 -1 0 1 -2 0 0 1 -1 0 0 1 4 0] [ 0 1 -1 -2 -1 0 -1 0 1 1 -1 0 0 -1 -1 1 -1 1 0 -1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 154. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 -1 0 2 1 0 -1 0 -1 0 1 1 1 1 1 1 -1 -1 0] [ 0 4 -2 -2 1 0 0 -1 -1 2 1 0 -2 0 0 -1 -2 0 -1 2 0 1] [ 0 -2 6 -1 2 2 0 -2 0 1 -3 0 1 -1 0 3 0 1 1 1 1 -2] [ 2 -2 -1 6 -3 -1 1 2 1 -3 2 -1 2 1 -1 0 1 -1 1 -3 -1 1] [-1 1 2 -3 6 2 1 -1 -2 0 -1 -1 -1 1 2 0 -2 2 -2 3 -1 -2] [ 0 0 2 -1 2 4 0 -1 -2 0 -1 -1 -1 1 0 1 -1 0 0 0 -1 0] [ 2 0 0 1 1 0 4 1 -1 -2 0 -2 0 1 2 0 1 0 -1 -1 -1 -1] [ 1 -1 -2 2 -1 -1 1 4 1 -3 1 -1 1 2 0 0 2 0 -1 -1 -2 1] [ 0 -1 0 1 -2 -2 -1 1 4 0 0 0 1 -1 -1 1 2 1 0 0 1 0] [-1 2 1 -3 0 0 -2 -3 0 6 -2 2 -2 -2 -1 0 -2 0 1 3 2 0] [ 0 1 -3 2 -1 -1 0 1 0 -2 4 -1 0 1 -1 -1 0 -1 -1 -1 -1 1] [-1 0 0 -1 -1 -1 -2 -1 0 2 -1 4 0 -1 0 0 -1 0 2 1 1 0] [ 0 -2 1 2 -1 -1 0 1 1 -2 0 0 4 -1 0 0 1 0 0 -2 0 0] [ 1 0 -1 1 1 1 1 2 -1 -2 1 -1 -1 4 0 0 0 0 -1 0 -2 1] [ 1 0 0 -1 2 0 2 0 -1 -1 -1 0 0 0 4 -1 0 1 0 0 0 -2] [ 1 -1 3 0 0 1 0 0 1 0 -1 0 0 0 -1 4 1 1 1 1 0 -1] [ 1 -2 0 1 -2 -1 1 2 2 -2 0 -1 1 0 0 1 4 0 0 -2 0 0] [ 1 0 1 -1 2 0 0 0 1 0 -1 0 0 0 1 1 0 4 0 2 0 -1] [ 1 -1 1 1 -2 0 -1 -1 0 1 -1 2 0 -1 0 1 0 0 4 -1 1 0] [-1 2 1 -3 3 0 -1 -1 0 3 -1 1 -2 0 0 1 -2 2 -1 6 1 -1] [-1 0 1 -1 -1 -1 -1 -2 1 2 -1 1 0 -2 0 0 0 0 1 1 4 -1] [ 0 1 -2 1 -2 0 -1 1 0 0 1 0 0 1 -2 -1 0 -1 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 155. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 1 2 -1 -1 1 0 -1 1 1 1 -1 -1 1 -2 -1 -1 -1] [ 1 4 0 -2 0 2 0 -2 1 2 0 -1 0 0 -1 0 -1 1 1 0 0 0] [-1 0 4 2 0 0 -1 1 -1 0 -1 0 -2 1 0 0 -1 1 1 2 -1 -1] [-2 -2 2 6 -1 -1 0 2 0 -3 1 2 0 0 -1 -1 2 -1 2 1 0 0] [ 1 0 0 -1 4 0 1 1 -1 -1 0 0 -1 2 0 1 1 1 -2 0 -2 1] [ 1 2 0 -1 0 4 1 0 -1 0 1 0 0 0 1 0 -1 0 1 0 0 0] [ 2 0 -1 0 1 1 4 1 -1 0 1 1 1 1 1 0 0 -1 -2 0 -1 -1] [-1 -2 1 2 1 0 1 4 -2 -2 0 2 0 0 0 0 0 0 -1 1 0 0] [-1 1 -1 0 -1 -1 -1 -2 4 0 1 0 0 0 -2 1 1 -1 2 0 0 0] [ 1 2 0 -3 -1 0 0 -2 0 6 -2 -2 0 0 1 1 -3 0 -2 1 0 -1] [ 0 0 -1 1 0 1 1 0 1 -2 4 2 0 0 0 1 2 -2 1 0 0 1] [-1 -1 0 2 0 0 1 2 0 -2 2 4 0 0 0 1 1 -1 1 1 0 0] [ 1 0 -2 0 -1 0 1 0 0 0 0 0 4 -2 0 -2 0 0 -1 -2 1 0] [ 1 0 1 0 2 0 1 0 0 0 0 0 -2 4 0 1 0 0 -1 1 -2 0] [ 1 -1 0 -1 0 1 1 0 -2 1 0 0 0 0 4 0 -1 -1 -1 0 0 -1] [-1 0 0 -1 1 0 0 0 1 1 1 1 -2 1 0 4 0 -1 0 2 -1 0] [-1 -1 -1 2 1 -1 0 0 1 -3 2 1 0 0 -1 0 4 -1 1 -1 0 2] [ 1 1 1 -1 1 0 -1 0 -1 0 -2 -1 0 0 -1 -1 -1 4 0 0 0 0] [-2 1 1 2 -2 1 -2 -1 2 -2 1 1 -1 -1 -1 0 1 0 6 0 1 0] [-1 0 2 1 0 0 0 1 0 1 0 1 -2 1 0 2 -1 0 0 4 0 -1] [-1 0 -1 0 -2 0 -1 0 0 0 0 0 1 -2 0 -1 0 0 1 0 4 0] [-1 0 -1 0 1 0 -1 0 0 -1 1 0 0 0 -1 0 2 0 0 -1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 156. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 2 0 -1 -1 -1 0 0 -1 -1 -2 2 1 2 0 -1 -2 -2 1] [-2 4 1 -2 -2 0 1 2 0 0 1 1 0 2 -2 0 -2 -1 2 2 2 0] [ 0 1 4 0 -2 0 2 -1 -2 0 0 0 0 1 -2 0 -2 1 1 1 2 1] [ 1 -2 0 6 3 -2 0 -1 2 0 -2 1 2 -1 0 -1 3 -1 -1 -1 0 -1] [ 2 -2 -2 3 6 0 -1 0 2 1 -2 -1 0 -2 3 1 4 0 0 -2 -3 -1] [ 0 0 0 -2 0 4 1 1 0 0 0 -2 -1 0 1 0 0 0 1 0 -1 -1] [-1 1 2 0 -1 1 4 1 0 -1 -1 0 1 1 -1 -1 -2 1 0 1 1 -1] [-1 2 -1 -1 0 1 1 4 2 -1 0 1 0 0 0 -1 -1 -1 1 0 0 -1] [-1 0 -2 2 2 0 0 2 4 0 -1 1 1 0 1 -1 1 -1 0 0 -1 -2] [ 0 0 0 0 1 0 -1 -1 0 4 1 -1 -1 0 -1 0 2 1 1 0 1 1] [ 0 1 0 -2 -2 0 -1 0 -1 1 4 -1 0 1 0 -1 -1 0 0 1 0 2] [-1 1 0 1 -1 -2 0 1 1 -1 -1 4 1 0 -2 -1 -1 -1 0 0 2 -1] [-1 0 0 2 0 -1 1 0 1 -1 0 1 4 0 0 -2 0 0 0 0 0 -1] [-2 2 1 -1 -2 0 1 0 0 0 1 0 0 4 -2 0 -2 0 0 2 1 0] [ 2 -2 -2 0 3 1 -1 0 1 -1 0 -2 0 -2 6 1 1 0 -1 -1 -4 0] [ 1 0 0 -1 1 0 -1 -1 -1 0 -1 -1 -2 0 1 4 1 0 0 0 -1 1] [ 2 -2 -2 3 4 0 -2 -1 1 2 -1 -1 0 -2 1 1 6 -1 0 -2 -1 0] [ 0 -1 1 -1 0 0 1 -1 -1 1 0 -1 0 0 0 0 -1 4 0 0 0 1] [-1 2 1 -1 0 1 0 1 0 1 0 0 0 0 -1 0 0 0 4 0 1 0] [-2 2 1 -1 -2 0 1 0 0 0 1 0 0 2 -1 0 -2 0 0 4 2 0] [-2 2 2 0 -3 -1 1 0 -1 1 0 2 0 1 -4 -1 -1 0 1 2 6 0] [ 1 0 1 -1 -1 -1 -1 -1 -2 1 2 -1 -1 0 0 1 0 1 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 157. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 -1 1 0 -2 1 -1 -1 -1 -1 -1 1 0 2 0 0 -1] [-2 4 1 -1 2 1 2 0 0 0 -1 0 0 2 0 -1 0 1 -1 -1 1 0] [ 0 1 4 1 1 2 -1 -1 -1 -1 -1 -2 -1 -1 -2 1 -1 1 1 -1 1 -1] [ 1 -1 1 4 0 0 -2 1 1 0 0 -2 1 0 -2 0 1 1 0 -1 -1 1] [-2 2 1 0 4 2 1 -1 1 1 0 0 1 2 0 0 -1 0 -2 0 0 0] [-1 1 2 0 2 4 -1 -2 -1 -1 0 0 -1 1 0 0 -2 0 -1 0 0 0] [-1 2 -1 -2 1 -1 4 0 0 0 0 1 0 1 1 -1 0 0 -1 0 0 -1] [ 1 0 -1 1 -1 -2 0 4 0 0 0 0 0 1 0 0 1 0 1 0 0 0] [ 0 0 -1 1 1 -1 0 0 4 1 0 0 1 1 0 0 2 0 -1 0 -1 0] [-2 0 -1 0 1 -1 0 0 1 6 -2 1 2 -1 1 0 -1 -2 0 2 0 1] [ 1 -1 -1 0 0 0 0 0 0 -2 4 1 1 0 0 0 0 1 -1 -1 -1 0] [-1 0 -2 -2 0 0 1 0 0 1 1 4 0 1 2 0 -1 -1 -1 1 0 0] [-1 0 -1 1 1 -1 0 0 1 2 1 0 4 0 0 0 0 1 -1 -1 0 1] [-1 2 -1 0 2 1 1 1 1 -1 0 1 0 6 1 -1 1 1 -2 -1 1 0] [-1 0 -2 -2 0 0 1 0 0 1 0 2 0 1 4 0 -1 -2 -1 1 0 0] [-1 -1 1 0 0 0 -1 0 0 0 0 0 0 -1 0 4 0 0 0 0 0 0] [ 1 0 -1 1 -1 -2 0 1 2 -1 0 -1 0 1 -1 0 4 1 0 -1 0 1] [ 0 1 1 1 0 0 0 0 0 -2 1 -1 1 1 -2 0 1 4 0 -2 1 0] [ 2 -1 1 0 -2 -1 -1 1 -1 0 -1 -1 -1 -2 -1 0 0 0 4 0 1 -1] [ 0 -1 -1 -1 0 0 0 0 0 2 -1 1 -1 -1 1 0 -1 -2 0 4 0 0] [ 0 1 1 -1 0 0 0 0 -1 0 -1 0 0 1 0 0 0 1 1 0 4 -1] [-1 0 -1 1 0 0 -1 0 0 1 0 0 1 0 0 0 1 0 -1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 158. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 1 -2 0 -2 -1 -1 1 -1 0 -2 0 0 2 0 -1 -2 0 0] [ 1 4 0 -1 0 0 1 -2 0 -1 0 0 0 0 1 -1 -1 0 0 0 -1 1] [ 2 0 4 2 0 -1 0 -1 0 0 0 -1 1 -2 1 -1 1 0 -2 -2 -1 -1] [ 1 -1 2 6 1 -1 0 2 0 1 -2 1 -1 0 0 -2 1 2 1 0 0 -3] [ 1 0 0 1 4 -2 0 -1 -2 1 -1 1 1 -1 0 0 2 2 -1 -1 0 -1] [-2 0 -1 -1 -2 6 -2 3 3 2 0 -1 0 1 -1 1 -1 1 3 1 1 1] [ 0 1 0 0 0 -2 4 0 -2 0 1 1 0 0 2 0 -1 0 -2 0 -2 0] [-2 -2 -1 2 -1 3 0 6 2 2 0 1 0 1 0 1 0 2 2 1 0 -1] [-1 0 0 0 -2 3 -2 2 4 0 0 -1 0 1 0 0 -1 0 2 1 0 0] [-1 -1 0 1 1 2 0 2 0 4 0 1 1 0 0 1 0 2 0 0 0 0] [ 1 0 0 -2 -1 0 1 0 0 0 4 -1 1 -1 0 1 0 -1 -1 -1 0 1] [-1 0 -1 1 1 -1 1 1 -1 1 -1 4 0 1 1 0 -1 1 -1 1 -1 -1] [ 0 0 1 -1 1 0 0 0 0 1 1 0 4 -2 1 0 1 1 -1 -2 -1 0] [-2 0 -2 0 -1 1 0 1 1 0 -1 1 -2 4 -1 0 -2 0 1 2 0 0] [ 0 1 1 0 0 -1 2 0 0 0 0 1 1 -1 4 0 -1 0 -2 0 -2 0] [ 0 -1 -1 -2 0 1 0 1 0 1 1 0 0 0 0 4 1 0 -1 0 0 2] [ 2 -1 1 1 2 -1 -1 0 -1 0 0 -1 1 -2 -1 1 4 1 0 -2 1 0] [ 0 0 0 2 2 1 0 2 0 2 -1 1 1 0 0 0 1 4 1 0 0 -1] [-1 0 -2 1 -1 3 -2 2 2 0 -1 -1 -1 1 -2 -1 0 1 6 1 2 0] [-2 0 -2 0 -1 1 0 1 1 0 -1 1 -2 2 0 0 -2 0 1 4 1 0] [ 0 -1 -1 0 0 1 -2 0 0 0 0 -1 -1 0 -2 0 1 0 2 1 4 0] [ 0 1 -1 -3 -1 1 0 -1 0 0 1 -1 0 0 0 2 0 -1 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 159. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 0 1 0 -1 -2 1 2 -1 -1 -1 0 2 1 -1 1 -1 -1 1] [-2 4 2 -2 1 -1 -1 0 2 1 0 1 1 -1 -1 -2 0 1 -1 1 -1 0] [-2 2 4 -2 1 0 -1 0 1 0 -1 0 1 1 1 -2 -1 2 -2 0 -1 0] [ 1 -2 -2 4 -2 -1 2 -1 -1 0 -1 0 0 1 0 2 1 -2 1 0 0 1] [ 0 1 1 -2 4 0 -2 1 0 -1 2 -1 0 -2 0 -1 0 0 -1 -1 1 0] [ 1 -1 0 -1 0 4 0 -1 -1 1 0 -1 -1 -1 1 0 -1 2 0 -1 1 -1] [ 0 -1 -1 2 -2 0 4 0 1 1 -1 1 -1 0 -1 1 -1 0 0 1 1 -1] [-1 0 0 -1 1 -1 0 4 1 -2 0 1 0 1 -1 -1 -1 0 -1 0 1 -1] [-2 2 1 -1 0 -1 1 1 4 1 -1 1 0 0 -1 -1 0 1 0 1 0 0] [ 1 1 0 0 -1 1 1 -2 1 4 0 0 -1 -1 0 0 1 1 1 0 -1 1] [ 2 0 -1 -1 2 0 -1 0 -1 0 4 0 -1 -2 -1 1 0 -1 0 0 0 0] [-1 1 0 0 -1 -1 1 1 1 0 0 4 -1 0 -1 0 -1 0 -1 2 -1 0] [-1 1 1 0 0 -1 -1 0 0 -1 -1 -1 4 0 1 0 1 0 0 -1 0 0] [-1 -1 1 1 -2 -1 0 1 0 -1 -2 0 0 6 0 -1 0 0 -1 1 -2 1] [ 0 -1 1 0 0 1 -1 -1 -1 0 -1 -1 1 0 4 1 0 0 1 -1 1 1] [ 2 -2 -2 2 -1 0 1 -1 -1 0 1 0 0 -1 1 4 0 -2 2 0 1 1] [ 1 0 -1 1 0 -1 -1 -1 0 1 0 -1 1 0 0 0 4 -1 1 -1 -1 2] [-1 1 2 -2 0 2 0 0 1 1 -1 0 0 0 0 -2 -1 4 -1 0 0 -1] [ 1 -1 -2 1 -1 0 0 -1 0 1 0 -1 0 -1 1 2 1 -1 4 -1 1 1] [-1 1 0 0 -1 -1 1 0 1 0 0 2 -1 1 -1 0 -1 0 -1 4 0 0] [-1 -1 -1 0 1 1 1 1 0 -1 0 -1 0 -2 1 1 -1 0 1 0 6 -2] [ 1 0 0 1 0 -1 -1 -1 0 1 0 0 0 1 1 1 2 -1 1 0 -2 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 160. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 1 -1 -1 2 -1 0 -1 -2 1 0 0 1 1 1 1 2 -1] [-2 4 2 -1 0 1 0 2 -1 1 1 0 2 -1 -1 1 0 -2 -2 -1 -1 1] [-2 2 4 -1 1 0 1 1 -2 1 -1 1 2 -1 1 1 1 -1 -2 -1 -2 0] [ 1 -1 -1 4 1 -1 0 -1 2 0 -1 1 -1 2 1 1 1 1 1 1 -1 -2] [ 1 0 1 1 6 2 -1 2 -1 -2 0 -1 1 1 2 0 3 2 -1 -2 0 -3] [ 1 1 0 -1 2 6 1 2 -1 1 3 -1 0 0 -1 -1 -1 -1 -1 -1 3 -2] [-1 0 1 0 -1 1 4 -1 -1 2 0 1 0 0 -1 1 -1 -1 0 0 0 -1] [-1 2 1 -1 2 2 -1 4 -2 0 2 0 2 -1 0 0 1 0 -2 -1 0 -1] [ 2 -1 -2 2 -1 -1 -1 -2 4 0 -1 0 -2 1 0 0 0 0 1 1 1 0] [-1 1 1 0 -2 1 2 0 0 4 0 1 0 0 -1 0 -1 -2 0 1 0 0] [ 0 1 -1 -1 0 3 0 2 -1 0 4 0 0 0 -1 -1 -1 -1 -1 0 2 0] [-1 0 1 1 -1 -1 1 0 0 1 0 4 0 0 0 1 1 0 0 1 -2 -1] [-2 2 2 -1 1 0 0 2 -2 0 0 0 4 -2 0 0 0 0 -2 -2 -2 1] [ 1 -1 -1 2 1 0 0 -1 1 0 0 0 -2 4 0 0 0 0 1 1 1 -2] [ 0 -1 1 1 2 -1 -1 0 0 -1 -1 0 0 0 4 0 1 1 0 0 -1 -1] [ 0 1 1 1 0 -1 1 0 0 0 -1 1 0 0 0 4 1 0 0 1 -1 -1] [ 1 0 1 1 3 -1 -1 1 0 -1 -1 1 0 0 1 1 6 1 0 0 -2 -1] [ 1 -2 -1 1 2 -1 -1 0 0 -2 -1 0 0 0 1 0 1 4 1 0 0 -1] [ 1 -2 -2 1 -1 -1 0 -2 1 0 -1 0 -2 1 0 0 0 1 4 1 0 0] [ 1 -1 -1 1 -2 -1 0 -1 1 1 0 1 -2 1 0 1 0 0 1 4 1 0] [ 2 -1 -2 -1 0 3 0 0 1 0 2 -2 -2 1 -1 -1 -2 0 0 1 6 -1] [-1 1 0 -2 -3 -2 -1 -1 0 0 0 -1 1 -2 -1 -1 -1 -1 0 0 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 161. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 2 1 -1 0 1 -1 1 -1 -2 1 -1 -1 -1 -1 1 0 -2 1 -1] [-2 4 1 -2 -2 0 0 -1 2 -1 0 2 -1 0 1 0 0 -1 0 2 -1 0] [ 0 1 4 0 -1 -2 0 1 2 -2 1 1 1 1 2 0 -1 1 1 0 -2 0] [ 2 -2 0 6 3 -1 1 0 -1 1 2 0 3 -2 -2 1 0 -1 2 -2 1 -2] [ 1 -2 -1 3 6 2 1 0 -1 1 -1 0 2 0 0 0 2 0 1 -1 0 -1] [-1 0 -2 -1 2 6 1 -1 0 2 -3 0 0 1 0 1 2 0 0 0 2 -1] [ 0 0 0 1 1 1 4 -1 0 2 1 0 0 -1 0 0 -1 0 -1 -2 2 -2] [ 1 -1 1 0 0 -1 -1 4 1 -1 -1 -1 1 1 1 1 1 2 1 1 -2 1] [-1 2 2 -1 -1 0 0 1 4 -2 0 1 1 0 2 0 0 1 0 1 -2 0] [ 1 -1 -2 1 1 2 2 -1 -2 4 -1 -1 0 -1 -2 0 0 -1 -1 -1 3 -1] [-1 0 1 2 -1 -3 1 -1 0 -1 6 0 0 -2 0 1 -1 0 0 0 -1 -1] [-2 2 1 0 0 0 0 -1 1 -1 0 4 0 1 1 0 0 -1 1 0 -1 0] [ 1 -1 1 3 2 0 0 1 1 0 0 0 4 0 0 1 1 0 1 -1 0 -1] [-1 0 1 -2 0 1 -1 1 0 -1 -2 1 0 4 2 0 1 1 1 0 -1 1] [-1 1 2 -2 0 0 0 1 2 -2 0 1 0 2 4 0 0 2 0 0 -2 0] [-1 0 0 1 0 1 0 1 0 0 1 0 1 0 0 4 2 0 1 1 0 0] [-1 0 -1 0 2 2 -1 1 0 0 -1 0 1 1 0 2 4 0 1 2 -1 1] [ 1 -1 1 -1 0 0 0 2 1 -1 0 -1 0 1 2 0 0 4 0 0 -1 0] [ 0 0 1 2 1 0 -1 1 0 -1 0 1 1 1 0 1 1 0 4 0 -1 0] [-2 2 0 -2 -1 0 -2 1 1 -1 0 0 -1 0 0 1 2 0 0 6 -2 2] [ 1 -1 -2 1 0 2 2 -2 -2 3 -1 -1 0 -1 -2 0 -1 -1 -1 -2 6 -2] [-1 0 0 -2 -1 -1 -2 1 0 -1 -1 0 -1 1 0 0 1 0 0 2 -2 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 162. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 -2 -1 1 2 2 2 -1 0 2 -1 1 0 -1 1 2 1 -2 0] [ 1 4 2 -1 -1 0 -1 1 1 1 0 0 1 1 -1 0 -1 2 -1 2 0 0] [ 1 2 4 -2 -2 0 -1 2 1 0 0 0 1 0 0 0 0 0 0 0 -1 0] [-1 -1 -2 6 3 -1 0 -1 -3 -2 -2 1 -2 -1 -1 -1 -2 2 -2 2 1 2] [-2 -1 -2 3 6 1 0 -1 -2 -1 0 2 0 -1 0 1 -1 2 -3 1 3 -1] [-1 0 0 -1 1 4 -1 0 0 0 1 -1 0 -1 1 2 1 1 -2 1 2 0] [ 1 -1 -1 0 0 -1 4 1 1 1 -1 -1 1 0 0 -1 -1 0 2 0 -2 0] [ 2 1 2 -1 -1 0 1 4 2 0 0 0 2 0 0 0 0 0 0 0 -2 0] [ 2 1 1 -3 -2 0 1 2 4 2 0 0 2 0 0 1 1 -1 1 0 -2 -1] [ 2 1 0 -2 -1 0 1 0 2 4 -1 0 2 0 0 1 -1 0 2 1 0 -1] [-1 0 0 -2 0 1 -1 0 0 -1 4 -1 0 1 1 0 2 0 -1 -1 0 -1] [ 0 0 0 1 2 -1 -1 0 0 0 -1 4 1 0 0 0 0 0 -1 -1 1 -1] [ 2 1 1 -2 0 0 1 2 2 2 0 1 4 0 0 0 0 0 1 0 0 -2] [-1 1 0 -1 -1 -1 0 0 0 0 1 0 0 4 -1 -1 0 -1 0 -1 -1 -1] [ 1 -1 0 -1 0 1 0 0 0 0 1 0 0 -1 4 1 1 1 1 0 -1 0] [ 0 0 0 -1 1 2 -1 0 1 1 0 0 0 -1 1 4 1 0 -1 1 1 0] [-1 -1 0 -2 -1 1 -1 0 1 -1 2 0 0 0 1 1 4 -2 0 -2 0 0] [ 1 2 0 2 2 1 0 0 -1 0 0 0 0 -1 1 0 -2 6 -2 4 1 1] [ 2 -1 0 -2 -3 -2 2 0 1 2 -1 -1 1 0 1 -1 0 -2 6 -2 -2 0] [ 1 2 0 2 1 1 0 0 0 1 -1 -1 0 -1 0 1 -2 4 -2 6 1 1] [-2 0 -1 1 3 2 -2 -2 -2 0 0 1 0 -1 -1 1 0 1 -2 1 6 -1] [ 0 0 0 2 -1 0 0 0 -1 -1 -1 -1 -2 -1 0 0 0 1 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 163. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 0 2 -1 -1 -1 -2 -2 1 -1 -1 -1 1 1 0 0 1 1] [ 0 4 -1 1 0 1 0 2 2 -1 -1 1 1 1 2 0 -2 1 2 -1 -2 0] [ 1 -1 4 0 -1 -1 1 -1 0 1 1 0 1 0 0 0 2 0 1 1 0 0] [-2 1 0 4 0 0 -2 1 2 1 0 2 -1 0 1 0 -2 -1 2 0 -1 0] [ 0 0 -1 0 4 1 -1 1 0 -2 -2 0 0 1 0 0 1 0 -2 -2 2 1] [ 0 1 -1 0 1 6 -2 3 0 0 -3 0 -1 1 2 -2 -2 1 2 -2 -2 -2] [ 2 0 1 -2 -1 -2 6 0 -1 1 1 0 3 -2 -2 1 0 -1 -1 -1 0 2] [-1 2 -1 1 1 3 0 6 2 0 -2 1 1 1 2 1 -1 1 2 -1 -3 0] [-1 2 0 2 0 0 -1 2 4 -1 0 1 1 0 2 0 -1 1 1 0 -2 0] [-1 -1 1 1 -2 0 1 0 -1 4 1 1 0 -1 -1 0 -1 -2 1 1 -1 0] [-2 -1 1 0 -2 -3 1 -2 0 1 6 0 0 -1 0 2 1 0 -1 2 -1 -1] [-2 1 0 2 0 0 0 1 1 1 0 4 0 1 1 0 -2 -1 1 -2 -1 0] [ 1 1 1 -1 0 -1 3 1 1 0 0 0 4 0 0 1 1 0 -1 -1 0 1] [-1 1 0 0 1 1 -2 1 0 -1 -1 1 0 4 2 0 1 1 1 -1 0 -1] [-1 2 0 1 0 2 -2 2 2 -1 0 1 0 2 4 0 -1 2 2 -1 -2 -2] [-1 0 0 0 0 -2 1 1 0 0 2 0 1 0 0 4 2 0 -1 1 0 1] [ 1 -2 2 -2 1 -2 0 -1 -1 -1 1 -2 1 1 -1 2 6 1 -2 2 2 1] [ 1 1 0 -1 0 1 -1 1 1 -2 0 -1 0 1 2 0 1 4 1 1 -1 -1] [ 0 2 1 2 -2 2 -1 2 1 1 -1 1 -1 1 2 -1 -2 1 6 0 -3 -1] [ 0 -1 1 0 -2 -2 -1 -1 0 1 2 -2 -1 -1 -1 1 2 1 0 6 0 0] [ 1 -2 0 -1 2 -2 0 -3 -2 -1 -1 -1 0 0 -2 0 2 -1 -3 0 6 1] [ 1 0 0 0 1 -2 2 0 0 0 -1 0 1 -1 -2 1 1 -1 -1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 164. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 0 1 2 -1 -2 -1 -2 -1 -2 -1 -2 0 1 1 0 -1 0 -1] [-1 4 1 -1 -1 1 -2 -1 -1 1 2 2 -1 2 2 1 -2 -1 1 1 1 2] [ 2 1 4 0 0 2 1 -1 -1 0 -1 -1 -1 -1 -1 1 -1 0 0 0 0 -1] [ 1 -1 0 4 -1 1 1 1 1 -2 -1 1 -1 1 1 1 0 2 1 -2 0 1] [ 0 -1 0 -1 4 -1 1 -1 1 -1 -2 0 0 0 -1 1 1 1 -1 -1 -2 0] [ 1 1 2 1 -1 4 0 1 -1 0 -1 -1 -2 -1 0 1 0 0 1 0 0 -1] [ 2 -2 1 1 1 0 4 -1 -1 -1 -1 -1 -1 -1 -1 1 0 1 -1 -1 -1 -1] [-1 -1 -1 1 -1 1 -1 4 1 0 -1 0 0 0 0 0 1 0 1 0 1 0] [-2 -1 -1 1 1 -1 -1 1 6 -2 -1 0 3 0 2 0 1 2 -1 -2 0 -1] [-1 1 0 -2 -1 0 -1 0 -2 4 2 -1 1 0 0 -1 -1 -2 0 2 0 0] [-2 2 -1 -1 -2 -1 -1 -1 -1 2 6 0 2 0 3 -1 -3 -2 -1 2 1 1] [-1 2 -1 1 0 -1 -1 0 0 -1 0 6 -2 4 1 2 -1 0 1 -1 1 4] [-2 -1 -1 -1 0 -2 -1 0 3 1 2 -2 6 -2 2 -2 0 -1 -1 1 0 -1] [-1 2 -1 1 0 -1 -1 0 0 0 0 4 -2 6 1 2 -1 1 1 -1 1 4] [-2 2 -1 1 -1 0 -1 0 2 0 3 1 2 1 6 0 -2 0 1 0 0 2] [ 0 1 1 1 1 1 1 0 0 -1 -1 2 -2 2 0 4 0 1 0 -1 0 2] [ 1 -2 -1 0 1 0 0 1 1 -1 -3 -1 0 -1 -2 0 4 1 0 -1 0 -1] [ 1 -1 0 2 1 0 1 0 2 -2 -2 0 -1 1 0 1 1 4 0 -2 0 0] [ 0 1 0 1 -1 1 -1 1 -1 0 -1 1 -1 1 1 0 0 0 4 0 0 2] [-1 1 0 -2 -1 0 -1 0 -2 2 2 -1 1 -1 0 -1 -1 -2 0 4 1 0] [ 0 1 0 0 -2 0 -1 1 0 0 1 1 0 1 0 0 0 0 0 1 4 0] [-1 2 -1 1 0 -1 -1 0 -1 0 1 4 -1 4 2 2 -1 0 2 0 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 165. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 1 -1 2 1 1 0 -1 -2 1 1 -1 0 -1 1 -2 -1 2 1] [ 1 4 1 1 2 0 0 -1 0 1 0 -2 1 0 0 -1 -2 2 -2 0 0 0] [-1 1 4 -1 0 -1 -1 -2 -1 -1 -1 -1 -1 -1 0 -2 0 0 -1 -1 -2 1] [ 2 1 -1 4 0 1 2 0 0 0 1 -2 1 0 -1 0 -2 0 -1 1 0 1] [ 1 2 0 0 4 0 0 1 1 1 0 -2 0 1 1 -1 -1 2 -2 0 1 1] [-1 0 -1 1 0 4 -1 -1 -1 0 2 0 -1 0 0 1 -1 0 2 2 -1 0] [ 2 0 -1 2 0 -1 4 2 1 0 -1 0 1 1 -1 0 -1 -1 -1 -1 0 1] [ 1 -1 -2 0 1 -1 2 6 0 -1 -1 1 1 0 1 1 2 1 -2 -1 0 1] [ 1 0 -1 0 1 -1 1 0 4 0 0 1 1 2 1 1 -1 0 1 0 1 0] [ 0 1 -1 0 1 0 0 -1 0 4 0 0 1 0 0 -1 -1 0 0 0 1 -1] [-1 0 -1 1 0 2 -1 -1 0 0 4 -1 0 -1 1 1 -1 0 1 2 0 0] [-2 -2 -1 -2 -2 0 0 1 1 0 -1 6 1 0 0 1 2 -1 3 -1 -2 -2] [ 1 1 -1 1 0 -1 1 1 1 1 0 1 4 -1 1 0 0 0 0 0 0 0] [ 1 0 -1 0 1 0 1 0 2 0 -1 0 -1 4 -1 1 -1 0 0 0 2 0] [-1 0 0 -1 1 0 -1 1 1 0 1 0 1 -1 4 0 0 0 1 1 -1 1] [ 0 -1 -2 0 -1 1 0 1 1 -1 1 1 0 1 0 4 1 0 1 1 1 0] [-1 -2 0 -2 -1 -1 -1 2 -1 -1 -1 2 0 -1 0 1 4 0 0 -1 0 0] [ 1 2 0 0 2 0 -1 1 0 0 0 -1 0 0 0 0 0 4 -2 0 1 0] [-2 -2 -1 -1 -2 2 -1 -2 1 0 1 3 0 0 1 1 0 -2 6 1 -1 -1] [-1 0 -1 1 0 2 -1 -1 0 0 2 -1 0 0 1 1 -1 0 1 4 1 0] [ 2 0 -2 0 1 -1 0 0 1 1 0 -2 0 2 -1 1 0 1 -1 1 6 -1] [ 1 0 1 1 1 0 1 1 0 -1 0 -2 0 0 1 0 0 0 -1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 166. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 0 -1 -1 0 -2 0 0 -2 1 -1 -2 1 0 -1 0 2 -2] [ 2 4 0 0 0 -1 -1 1 -1 -2 1 -1 -2 -1 1 -1 2 -1 -1 -1 2 -2] [ 0 0 4 0 0 0 -1 -1 0 -1 -2 0 0 -1 0 -1 1 0 0 0 0 1] [ 0 0 0 4 0 0 2 -1 -2 -2 0 0 0 -1 0 1 -1 0 2 0 0 0] [ 0 0 0 0 4 -2 0 1 1 2 1 -2 1 0 1 1 1 2 0 -2 -1 1] [ 0 -1 0 0 -2 4 1 -1 -1 -2 -1 2 0 1 -2 -1 -2 -2 0 2 0 0] [-1 -1 -1 2 0 1 4 -1 -1 -1 1 0 1 -1 -1 1 -1 0 2 0 -1 0] [-1 1 -1 -1 1 -1 -1 4 1 1 1 -1 1 -1 1 0 0 -1 0 -1 -1 0] [ 0 -1 0 -2 1 -1 -1 1 4 2 0 0 1 1 0 0 0 1 0 0 -1 1] [-2 -2 -1 -2 2 -2 -1 1 2 6 1 -1 1 1 1 1 0 2 -1 -1 -1 1] [ 0 1 -2 0 1 -1 1 1 0 1 4 -2 0 0 1 0 1 1 -1 -2 0 -1] [ 0 -1 0 0 -2 2 0 -1 0 -1 -2 4 -1 1 -2 0 -2 -1 0 2 0 0] [-2 -2 0 0 1 0 1 1 1 1 0 -1 4 -1 0 1 -1 0 1 0 -2 2] [ 1 -1 -1 -1 0 1 -1 -1 1 1 0 1 -1 4 -1 0 -1 1 -1 1 1 0] [-1 1 0 0 1 -2 -1 1 0 1 1 -2 0 -1 4 1 2 1 0 -2 0 1] [-2 -1 -1 1 1 -1 1 0 0 1 0 0 1 0 1 4 0 1 1 0 -1 2] [ 1 2 1 -1 1 -2 -1 0 0 0 1 -2 -1 -1 2 0 4 1 -1 -2 1 0] [ 0 -1 0 0 2 -2 0 -1 1 2 1 -1 0 1 1 1 1 4 0 -1 0 1] [-1 -1 0 2 0 0 2 0 0 -1 -1 0 1 -1 0 1 -1 0 4 0 -1 1] [ 0 -1 0 0 -2 2 0 -1 0 -1 -2 2 0 1 -2 0 -2 -1 0 4 1 0] [ 2 2 0 0 -1 0 -1 -1 -1 -1 0 0 -2 1 0 -1 1 0 -1 1 4 -2] [-2 -2 1 0 1 0 0 0 1 1 -1 0 2 0 1 2 0 1 1 0 -2 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 167. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 1 0 1 -1 -2 0 0 1 -1 0 2 2 1 2 1 0 0] [-2 4 -2 1 -1 -1 -1 1 1 2 1 -1 -2 1 -1 -2 -1 1 -1 -1 -1 1] [ 2 -2 4 -1 0 0 -1 -1 -1 -2 -1 -1 1 -1 1 0 1 -1 2 1 -1 1] [ 0 1 -1 4 -1 1 -1 0 2 1 0 0 -1 2 1 1 0 0 -1 -1 0 1] [ 1 -1 0 -1 4 0 1 1 0 0 1 2 0 0 0 2 -1 1 1 1 2 -1] [ 1 -1 0 1 0 4 0 1 1 -1 -1 -1 1 1 0 0 2 1 1 1 -1 0] [ 0 -1 -1 -1 1 0 4 -1 0 0 -1 2 1 0 0 0 -1 0 0 1 2 -2] [ 1 1 -1 0 1 1 -1 4 0 0 1 -1 0 0 -2 0 1 2 1 0 -1 0] [-1 1 -1 2 0 1 0 0 4 1 -1 1 0 2 0 -1 -1 1 0 -1 1 0] [-2 2 -2 1 0 -1 0 0 1 4 1 0 -2 2 0 0 -2 0 -2 -2 0 0] [ 0 1 -1 0 1 -1 -1 1 -1 1 4 1 -2 -1 -1 2 0 1 -1 0 1 1] [ 0 -1 -1 0 2 -1 2 -1 1 0 1 6 -1 0 -1 2 -1 1 0 1 3 -2] [ 1 -2 1 -1 0 1 1 0 0 -2 -2 -1 4 -1 1 -1 1 0 1 1 1 0] [-1 1 -1 2 0 1 0 0 2 2 -1 0 -1 4 0 0 -1 0 -1 -1 0 0] [ 0 -1 1 1 0 0 0 -2 0 0 -1 -1 1 0 4 0 -1 -2 0 0 0 1] [ 2 -2 0 1 2 0 0 0 -1 0 2 2 -1 0 0 6 1 0 -1 0 2 0] [ 2 -1 1 0 -1 2 -1 1 -1 -2 0 -1 1 -1 -1 1 4 1 1 1 -1 1] [ 1 1 -1 0 1 1 0 2 1 0 1 1 0 0 -2 0 1 4 1 1 1 0] [ 2 -1 2 -1 1 1 0 1 0 -2 -1 0 1 -1 0 -1 1 1 4 1 -1 0] [ 1 -1 1 -1 1 1 1 0 -1 -2 0 1 1 -1 0 0 1 1 1 4 1 0] [ 0 -1 -1 0 2 -1 2 -1 1 0 1 3 1 0 0 2 -1 1 -1 1 6 -1] [ 0 1 1 1 -1 0 -2 0 0 0 1 -2 0 0 1 0 1 0 0 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 168. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 1 2 -2 -2 1 -2 1 -2 -1 1 -2 0 -1 2 2 0 -2 1 0] [-2 4 -1 0 -2 0 2 -1 1 0 2 1 0 2 -1 0 -1 -2 0 2 1 1] [ 1 -1 4 1 2 1 0 0 -1 1 0 1 -1 0 -1 -1 -1 0 -1 -2 -1 0] [ 1 0 1 4 -1 1 0 0 -2 2 0 1 -1 -1 -1 -1 0 -1 1 1 2 1] [ 2 -2 2 -1 6 -2 -1 2 0 1 -1 1 2 -1 1 1 0 2 -2 -4 -2 1] [-2 0 1 1 -2 6 0 0 1 -1 0 1 -1 1 0 -1 0 -1 1 1 -2 0] [-2 2 0 0 -1 0 4 -2 1 0 2 1 0 2 0 1 -2 -2 -1 1 0 1] [ 1 -1 0 0 2 0 -2 4 1 0 -1 1 0 -1 0 1 1 1 -1 -2 0 1] [-2 1 -1 -2 0 1 1 1 4 -2 1 1 0 2 1 1 -1 -1 -1 0 -2 1] [ 1 0 1 2 1 -1 0 0 -2 4 1 1 1 -1 0 -1 0 0 1 -1 2 1] [-2 2 0 0 -1 0 2 -1 1 1 4 1 -1 2 -1 0 -2 -2 0 1 0 1] [-1 1 1 1 1 1 1 1 1 1 1 4 -1 1 -1 0 -1 -1 -1 -1 -1 1] [ 1 0 -1 -1 2 -1 0 0 0 1 -1 -1 6 0 2 0 2 2 1 -2 0 1] [-2 2 0 -1 -1 1 2 -1 2 -1 2 1 0 4 0 0 -1 -2 0 1 -1 1] [ 0 -1 -1 -1 1 0 0 0 1 0 -1 -1 2 0 4 0 0 0 1 0 -1 1] [-1 0 -1 -1 1 -1 1 1 1 -1 0 0 0 0 0 4 0 0 -2 0 0 1] [ 2 -1 -1 0 0 0 -2 1 -1 0 -2 -1 2 -1 0 0 4 2 1 -1 1 0] [ 2 -2 0 -1 2 -1 -2 1 -1 0 -2 -1 2 -2 0 0 2 4 0 -2 0 -1] [ 0 0 -1 1 -2 1 -1 -1 -1 1 0 -1 1 0 1 -2 1 0 4 1 1 0] [-2 2 -2 1 -4 1 1 -2 0 -1 1 -1 -2 1 0 0 -1 -2 1 6 2 0] [ 1 1 -1 2 -2 -2 0 0 -2 2 0 -1 0 -1 -1 0 1 0 1 2 6 0] [ 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 -1 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 169. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 -2 2 -2 1 -1 -2 0 1 0 0 1 -1 -1 1 1 2] [ 1 4 -2 -1 2 -1 -2 -1 0 2 -1 1 1 1 1 1 1 -2 -1 2 2 1] [-1 -2 4 0 -2 1 0 -1 0 -2 0 0 -1 -2 -1 -1 0 2 1 0 -1 0] [ 1 -1 0 4 -1 2 -1 0 0 -1 -1 -1 -1 -1 -1 1 -1 1 -1 1 0 1] [ 1 2 -2 -1 4 -2 0 1 0 2 0 0 0 2 0 0 0 -2 0 1 0 1] [ 1 -1 1 2 -2 4 0 1 0 -1 0 0 0 -1 0 0 0 1 0 1 0 1] [-2 -2 0 -1 0 0 6 2 0 0 3 2 1 1 0 -2 -2 1 0 -3 -2 -1] [ 2 -1 -1 0 1 1 2 6 0 0 2 0 1 2 -1 0 1 -1 -1 0 -1 1] [-2 0 0 0 0 0 0 0 4 0 1 2 0 0 -1 2 1 -1 1 1 -1 0] [ 1 2 -2 -1 2 -1 0 0 0 4 0 0 0 2 0 0 0 -2 0 0 0 1] [-1 -1 0 -1 0 0 3 2 1 0 4 1 0 1 -1 -1 0 0 0 -2 -2 -1] [-2 1 0 -1 0 0 2 0 2 0 1 6 1 1 -1 1 1 0 -1 1 0 0] [ 0 1 -1 -1 0 0 1 1 0 0 0 1 4 1 1 0 1 0 0 -1 1 0] [ 1 1 -2 -1 2 -1 1 2 0 2 1 1 1 4 0 0 1 -2 0 0 0 1] [ 0 1 -1 -1 0 0 0 -1 -1 0 -1 -1 1 0 4 -1 -1 -1 1 0 1 0] [ 0 1 -1 1 0 0 -2 0 2 0 -1 1 0 0 -1 4 2 -1 -1 2 1 1] [ 1 1 0 -1 0 0 -2 1 1 0 0 1 1 1 -1 2 4 -1 0 1 1 1] [-1 -2 2 1 -2 1 1 -1 -1 -2 0 0 0 -2 -1 -1 -1 4 0 -1 0 -1] [-1 -1 1 -1 0 0 0 -1 1 0 0 -1 0 0 1 -1 0 0 4 -1 -1 0] [ 1 2 0 1 1 1 -3 0 1 0 -2 1 -1 0 0 2 1 -1 -1 6 2 2] [ 1 2 -1 0 0 0 -2 -1 -1 0 -2 0 1 0 1 1 1 0 -1 2 4 0] [ 2 1 0 1 1 1 -1 1 0 1 -1 0 0 1 0 1 1 -1 0 2 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 170. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 2 1 1 -1 1 -1 1 0 1 -1 1 -1 -2 1 1 -2 -1 1 -1] [ 1 4 2 1 0 -1 -2 2 -1 -1 1 2 0 0 -1 -2 1 0 -1 0 0 0] [ 1 2 4 2 -1 0 -2 0 0 -1 0 2 1 1 -2 -2 2 0 0 0 -1 -1] [ 2 1 2 4 1 0 -1 0 0 1 0 1 -1 2 -1 -1 1 0 0 0 1 -2] [ 1 0 -1 1 4 -1 0 1 1 1 1 0 0 0 -1 -1 0 1 -1 -1 0 -1] [ 1 -1 0 0 -1 4 1 -1 0 0 -2 -1 0 -1 0 0 -1 -1 -1 1 0 0] [-1 -2 -2 -1 0 1 4 0 0 0 -1 -1 -1 -1 1 2 -1 -1 1 1 1 0] [ 1 2 0 0 1 -1 0 4 0 0 1 1 0 0 0 -1 1 0 -1 0 0 1] [-1 -1 0 0 1 0 0 0 4 0 1 -1 1 1 -1 0 -1 -1 1 1 -1 1] [ 1 -1 -1 1 1 0 0 0 0 4 -1 -1 0 1 1 0 1 1 0 -1 0 0] [ 0 1 0 0 1 -2 -1 1 1 -1 4 0 0 1 -1 -1 0 1 1 -1 0 0] [ 1 2 2 1 0 -1 -1 1 -1 -1 0 4 -1 1 -1 -1 1 1 -1 -1 0 -1] [-1 0 1 -1 0 0 -1 0 1 0 0 -1 4 -1 -1 -1 1 0 0 0 -2 1] [ 1 0 1 2 0 -1 -1 0 1 1 1 1 -1 4 0 0 0 1 1 -1 1 -1] [-1 -1 -2 -1 -1 0 1 0 -1 1 -1 -1 -1 0 4 2 -1 -1 0 0 1 1] [-2 -2 -2 -1 -1 0 2 -1 0 0 -1 -1 -1 0 2 4 -1 -1 1 1 1 1] [ 1 1 2 1 0 -1 -1 1 -1 1 0 1 1 0 -1 -1 4 1 0 -1 -1 0] [ 1 0 0 0 1 -1 -1 0 -1 1 1 1 0 1 -1 -1 1 4 0 -2 0 -1] [-2 -1 0 0 -1 -1 1 -1 1 0 1 -1 0 1 0 1 0 0 4 0 0 0] [-1 0 0 0 -1 1 1 0 1 -1 -1 -1 0 -1 0 1 -1 -2 0 4 1 1] [ 1 0 -1 1 0 0 1 0 -1 0 0 0 -2 1 1 1 -1 0 0 1 4 -1] [-1 0 -1 -2 -1 0 0 1 1 0 0 -1 1 -1 1 1 0 -1 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 171. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 -2 -1 1 -1 1 0 1 -1 2 -1 0 -1 1 -2 -1 2 -2 -1] [-1 4 1 -1 0 -1 -1 1 1 -1 -1 0 0 2 -1 -1 1 2 -1 -2 0 -1] [ 2 1 4 0 -2 0 -1 -1 2 -1 -1 -1 1 0 0 0 2 -1 -1 1 -1 0] [-1 -1 0 4 1 0 0 1 1 0 0 -1 -2 1 1 0 -1 0 1 0 2 1] [-2 0 -2 1 4 1 -1 0 -1 0 -1 0 -2 1 -1 1 -1 0 2 0 2 0] [-1 -1 0 0 1 4 0 -2 0 0 0 1 0 0 1 1 -1 -1 1 1 0 1] [ 1 -1 -1 0 -1 0 4 1 1 1 3 1 1 0 1 -2 -2 -1 -1 1 -1 -1] [-1 1 -1 1 0 -2 1 6 2 2 -1 1 -1 1 -1 -2 -1 3 -2 -3 1 -2] [ 1 1 2 1 -1 0 1 2 6 -1 -1 1 1 1 1 -2 1 1 -1 -1 -1 -1] [ 0 -1 -1 0 0 0 1 2 -1 4 0 0 0 0 -1 -1 -1 1 0 -1 0 -1] [ 1 -1 -1 0 -1 0 3 -1 -1 0 6 -1 0 1 1 -1 -2 -1 -1 1 -1 0] [-1 0 -1 -1 0 1 1 1 1 0 -1 4 0 -1 1 0 -1 1 0 -1 0 -1] [ 2 0 1 -2 -2 0 1 -1 1 0 0 0 4 -1 0 -1 1 -1 -1 1 -2 0] [-1 2 0 1 1 0 0 1 1 0 1 -1 -1 4 0 -1 -1 2 0 -2 1 -1] [ 0 -1 0 1 -1 1 1 -1 1 -1 1 1 0 0 4 0 -1 -1 0 0 0 1] [-1 -1 0 0 1 1 -2 -2 -2 -1 -1 0 -1 -1 0 4 1 -1 1 1 1 2] [ 1 1 2 -1 -1 -1 -2 -1 1 -1 -2 -1 1 -1 -1 1 4 0 0 0 -1 1] [-2 2 -1 0 0 -1 -1 3 1 1 -1 1 -1 2 -1 -1 0 6 0 -4 1 -1] [-1 -1 -1 1 2 1 -1 -2 -1 0 -1 0 -1 0 0 1 0 0 4 0 1 1] [ 2 -2 1 0 0 1 1 -3 -1 -1 1 -1 1 -2 0 1 0 -4 0 6 0 1] [-2 0 -1 2 2 0 -1 1 -1 0 -1 0 -2 1 0 1 -1 1 1 0 4 0] [-1 -1 0 1 0 1 -1 -2 -1 -1 0 -1 0 -1 1 2 1 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 172. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 1 2 -1 0 1 1 0 -1 1 1 1 0 -1 -1 1 1 0] [-2 4 0 -1 -1 -1 0 2 1 1 -1 1 1 0 -1 0 1 0 0 0 1 1] [-2 0 4 -1 -1 -1 -2 1 1 0 0 -1 1 -1 0 0 1 0 2 0 0 1] [ 1 -1 -1 4 0 0 1 0 -1 -1 0 1 0 -1 1 0 -1 1 -2 -1 -1 0] [ 1 -1 -1 0 4 -1 1 0 -2 -1 -1 1 0 1 0 -1 0 0 0 1 1 -2] [ 1 -1 -1 0 -1 4 0 -2 -1 0 2 -1 -1 0 1 1 -1 1 0 -1 -2 1] [ 2 0 -2 1 1 0 4 1 -1 0 -1 0 -1 0 1 0 -1 -1 -2 1 0 0] [-1 2 1 0 0 -2 1 4 1 1 -2 0 0 0 0 -1 1 -1 0 1 1 1] [ 0 1 1 -1 -2 -1 -1 1 4 2 0 0 0 0 -1 0 2 -1 1 0 2 1] [ 1 1 0 -1 -1 0 0 1 2 4 1 0 -1 0 -1 1 2 -1 1 1 2 2] [ 1 -1 0 0 -1 2 -1 -2 0 1 4 0 0 -1 0 1 0 1 0 -1 0 1] [ 0 1 -1 1 1 -1 0 0 0 0 0 4 1 0 -1 -1 0 0 -1 0 2 -1] [-1 1 1 0 0 -1 -1 0 0 -1 0 1 4 -1 1 1 1 1 0 -1 1 0] [ 1 0 -1 -1 1 0 0 0 0 0 -1 0 -1 4 -1 -1 0 -2 0 2 0 -1] [ 1 -1 0 1 0 1 1 0 -1 -1 0 -1 1 -1 4 2 -1 0 0 0 0 1] [ 1 0 0 0 -1 1 0 -1 0 1 1 -1 1 -1 2 4 0 0 1 0 1 2] [ 0 1 1 -1 0 -1 -1 1 2 2 0 0 1 0 -1 0 4 0 1 0 2 1] [-1 0 0 1 0 1 -1 -1 -1 -1 1 0 1 -2 0 0 0 4 0 -2 -1 0] [-1 0 2 -2 0 0 -2 0 1 1 0 -1 0 0 0 1 1 0 4 0 1 1] [ 1 0 0 -1 1 -1 1 1 0 1 -1 0 -1 2 0 0 0 -2 0 4 2 0] [ 1 1 0 -1 1 -2 0 1 2 2 0 2 1 0 0 1 2 -1 1 2 6 0] [ 0 1 1 0 -2 1 0 1 1 2 1 -1 0 -1 1 2 1 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 173. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 1 -2 1 2 -1 2 1 1 -2 1 -2 -2 0 -1 0 -1 0 1 -2] [-1 4 -1 0 -1 -1 -1 0 0 0 1 2 -1 -1 2 1 -1 -1 2 1 1 2] [ 0 -1 4 0 1 -1 2 -1 0 0 -1 -1 0 2 -2 -2 2 2 0 -2 -2 -2] [ 1 0 0 4 -2 1 1 1 1 2 -1 -1 2 1 -1 0 1 -1 -1 0 -1 0] [-2 -1 1 -2 6 0 -1 0 0 0 -2 1 -2 3 1 -1 -1 2 0 -1 1 1] [ 1 -1 -1 1 0 4 -1 1 0 0 0 0 0 -1 -1 1 -1 -1 0 1 1 1] [ 2 -1 2 1 -1 -1 6 -1 1 2 -1 -2 2 1 -2 0 0 0 -2 0 0 -2] [-1 0 -1 1 0 1 -1 4 -1 1 -1 1 -1 1 0 0 -1 0 0 0 1 0] [ 2 0 0 1 0 0 1 -1 4 2 -1 0 0 -1 0 0 0 0 -1 0 0 0] [ 1 0 0 2 0 0 2 1 2 4 -2 0 0 1 0 0 0 0 -2 0 0 0] [ 1 1 -1 -1 -2 0 -1 -1 -1 -2 4 -1 0 -2 0 0 -1 0 1 0 1 -1] [-2 2 -1 -1 1 0 -2 1 0 0 -1 4 -2 -1 2 1 0 -1 1 1 0 3] [ 1 -1 0 2 -2 0 2 -1 0 0 0 -2 4 0 -1 0 1 -1 -1 0 -1 -1] [-2 -1 2 1 3 -1 1 1 -1 1 -2 -1 0 6 0 -2 1 2 -1 -2 -1 0] [-2 2 -2 -1 1 -1 -2 0 0 0 0 2 -1 0 4 1 -1 -1 1 1 1 3] [ 0 1 -2 0 -1 1 0 0 0 0 0 1 0 -2 1 4 -2 -2 0 2 1 2] [-1 -1 2 1 -1 -1 0 -1 0 0 -1 0 1 1 -1 -2 6 0 -1 -1 -4 0] [ 0 -1 2 -1 2 -1 0 0 0 0 0 -1 -1 2 -1 -2 0 4 0 -2 0 -2] [-1 2 0 -1 0 0 -2 0 -1 -2 1 1 -1 -1 1 0 -1 0 4 0 1 1] [ 0 1 -2 0 -1 1 0 0 0 0 0 1 0 -2 1 2 -1 -2 0 4 2 2] [ 1 1 -2 -1 1 1 0 1 0 0 1 0 -1 -1 1 1 -4 0 1 2 6 0] [-2 2 -2 0 1 1 -2 0 0 0 -1 3 -1 0 3 2 0 -2 1 2 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 174. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 0 2 0 0 -2 1 -1 -2 -2 0 -1 0 1 -1 -1 1 0] [-2 4 2 -1 1 -1 -2 1 0 1 -1 1 2 2 1 0 1 0 0 0 -1 1] [-2 2 4 0 2 1 0 0 1 1 -1 0 2 2 1 1 1 0 -1 0 0 1] [ 1 -1 0 4 0 2 1 -2 -1 1 0 -1 -2 1 1 1 1 -1 -2 1 1 0] [-1 1 2 0 4 -1 0 0 2 -1 1 0 1 1 2 2 2 0 -2 0 0 2] [ 0 -1 1 2 -1 4 1 -2 -1 2 -1 -1 0 0 -1 0 0 -1 0 1 0 -1] [ 2 -2 0 1 0 1 4 0 0 -2 1 0 -2 -2 -1 1 0 0 -2 0 1 1] [ 0 1 0 -2 0 -2 0 4 0 -2 1 1 0 0 0 -1 -1 0 1 0 -1 1] [ 0 0 1 -1 2 -1 0 0 4 -1 1 -1 2 -1 2 1 0 1 0 -1 1 1] [-2 1 1 1 -1 2 -2 -2 -1 6 -3 -1 2 3 1 0 0 -2 2 2 -1 -1] [ 1 -1 -1 0 1 -1 1 1 1 -3 4 0 -2 -1 1 1 0 0 0 0 1 1] [-1 1 0 -1 0 -1 0 1 -1 -1 0 4 0 -1 0 0 -1 -1 -1 0 -1 0] [-2 2 2 -2 1 0 -2 0 2 2 -2 0 6 0 1 -1 -1 1 2 -1 -2 0] [-2 2 2 1 1 0 -2 0 -1 3 -1 -1 0 6 2 1 2 -1 0 1 0 1] [ 0 1 1 1 2 -1 -1 0 2 1 1 0 1 2 6 1 1 -1 0 0 1 2] [-1 0 1 1 2 0 1 -1 1 0 1 0 -1 1 1 4 2 -1 -2 1 1 2] [ 0 1 1 1 2 0 0 -1 0 0 0 -1 -1 2 1 2 4 0 -2 0 1 2] [ 1 0 0 -1 0 -1 0 0 1 -2 0 -1 1 -1 -1 -1 0 4 0 -2 1 0] [-1 0 -1 -2 -2 0 -2 1 0 2 0 -1 2 0 0 -2 -2 0 6 0 -1 -1] [-1 0 0 1 0 1 0 0 -1 2 0 0 -1 1 0 1 0 -2 0 4 0 0] [ 1 -1 0 1 0 0 1 -1 1 -1 1 -1 -2 0 1 1 1 1 -1 0 4 0] [ 0 1 1 0 2 -1 1 1 1 -1 1 0 0 1 2 2 2 0 -1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 175. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 0 1 -2 2 -1 1 -2 2 0 0 1 0 -1 0 -2 1 -1 1] [ 0 4 2 -1 -1 1 -2 -1 1 -1 -2 0 -1 -1 -1 0 1 -1 -2 0 0 0] [-1 2 6 0 -1 -2 0 -3 2 1 -2 1 -2 -1 -1 2 3 0 -2 1 -2 0] [ 0 -1 0 4 2 1 -1 0 1 0 1 0 -1 -1 1 1 0 2 1 0 1 0] [ 0 -1 -1 2 4 2 1 1 1 1 0 0 -1 0 2 1 -1 0 2 -1 1 1] [ 1 1 -2 1 2 6 0 2 -1 0 -1 0 -1 1 2 1 -2 -1 2 -2 3 -1] [-2 -2 0 -1 1 0 6 0 0 2 2 0 1 2 0 1 -1 -1 3 -1 0 -1] [ 2 -1 -3 0 1 2 0 4 -2 1 0 0 1 1 2 0 -2 -1 1 0 1 1] [-1 1 2 1 1 -1 0 -2 4 0 0 0 -1 -1 0 0 1 0 0 0 0 0] [ 1 -1 1 0 1 0 2 1 0 4 0 1 -1 0 1 2 -1 0 1 1 -1 0] [-2 -2 -2 1 0 -1 2 0 0 0 6 -2 1 1 -1 -1 -2 2 3 -1 0 -1] [ 2 0 1 0 0 0 0 0 0 1 -2 4 -1 -1 0 1 0 0 -2 0 -2 0] [ 0 -1 -2 -1 -1 -1 1 1 -1 -1 1 -1 4 1 0 -2 0 0 0 1 1 1] [ 0 -1 -1 -1 0 1 2 1 -1 0 1 -1 1 4 0 0 -1 -1 1 -1 1 0] [ 1 -1 -1 1 2 2 0 2 0 1 -1 0 0 0 4 0 -1 -1 2 0 1 1] [ 0 0 2 1 1 1 1 0 0 2 -1 1 -2 0 0 4 1 0 0 0 0 0] [-1 1 3 0 -1 -2 -1 -2 1 -1 -2 0 0 -1 -1 1 4 0 -2 1 0 1] [ 0 -1 0 2 0 -1 -1 -1 0 0 2 0 0 -1 -1 0 0 4 0 1 0 0] [-2 -2 -2 1 2 2 3 1 0 1 3 -2 0 1 2 0 -2 0 6 -2 2 -1] [ 1 0 1 0 -1 -2 -1 0 0 1 -1 0 1 -1 0 0 1 1 -2 4 0 1] [-1 0 -2 1 1 3 0 1 0 -1 0 -2 1 1 1 0 0 0 2 0 6 -1] [ 1 0 0 0 1 -1 -1 1 0 0 -1 0 1 0 1 0 1 0 -1 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 176. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 1 1 0 2 0 -1 1 -1 1 1 -1 -1 2 1 1 0 0] [-2 4 -2 2 1 -1 -1 0 -1 -1 1 0 1 0 0 -1 0 -1 -2 0 1 1] [ 2 -2 4 -2 0 0 0 1 1 0 -1 1 -1 0 0 1 -1 1 1 1 -1 1] [-2 2 -2 4 2 0 -1 -1 -1 -1 0 -1 1 0 0 0 1 -2 -2 -1 0 0] [-2 1 0 2 4 -1 -2 1 -1 0 1 0 0 0 0 1 0 -1 -2 0 0 1] [ 1 -1 0 0 -1 4 0 0 -1 1 0 -1 0 1 1 1 1 1 0 -1 1 -1] [ 1 -1 0 -1 -2 0 4 -2 2 1 -2 1 1 1 1 0 -1 0 1 1 -1 0] [ 0 0 1 -1 1 0 -2 4 0 1 2 1 0 -1 -1 0 -1 1 0 1 1 0] [ 2 -1 1 -1 -1 -1 2 0 4 1 -1 2 0 1 1 -1 -2 1 1 2 0 1] [ 0 -1 0 -1 0 1 1 1 1 4 1 0 0 1 1 1 0 1 1 0 0 -1] [-1 1 -1 0 1 0 -2 2 -1 1 4 -1 0 0 0 -1 1 1 -1 -1 1 0] [ 1 0 1 -1 0 -1 1 1 2 0 -1 4 0 0 1 0 -2 0 0 2 0 1] [-1 1 -1 1 0 0 1 0 0 0 0 0 4 1 -1 -1 -1 -1 -1 0 0 0] [ 1 0 0 0 0 1 1 -1 1 1 0 0 1 4 2 0 -1 1 -1 0 1 1] [ 1 0 0 0 0 1 1 -1 1 1 0 1 -1 2 4 0 0 1 -1 0 1 1] [-1 -1 1 0 1 1 0 0 -1 1 -1 0 -1 0 0 4 0 -1 1 0 -1 0] [-1 0 -1 1 0 1 -1 -1 -2 0 1 -2 -1 -1 0 0 4 0 0 -2 0 -1] [ 2 -1 1 -2 -1 1 0 1 1 1 1 0 -1 1 1 -1 0 4 0 0 1 1] [ 1 -2 1 -2 -2 0 1 0 1 1 -1 0 -1 -1 -1 1 0 0 4 0 -1 -1] [ 1 0 1 -1 0 -1 1 1 2 0 -1 2 0 0 0 0 -2 0 0 4 1 1] [ 0 1 -1 0 0 1 -1 1 0 0 1 0 0 1 1 -1 0 1 -1 1 4 0] [ 0 1 1 0 1 -1 0 0 1 -1 0 1 0 1 1 0 -1 1 -1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 177. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 -1 1 -1 -2 -2 0 1 1 -1 -1 1 1 0 -2 1 -1] [ 0 4 -1 -1 1 2 -1 -1 1 -1 1 0 1 -1 -1 1 2 -1 1 1 1 -1] [ 1 -1 4 0 0 0 -1 0 1 1 0 0 1 -1 -1 1 0 -1 1 0 1 1] [ 2 -1 0 4 -2 -1 -1 2 -1 -2 -2 0 0 2 0 0 0 2 -1 -2 -1 -1] [-2 1 0 -2 4 2 1 0 2 2 2 0 0 -2 1 1 1 -2 0 2 -1 0] [-1 2 0 -1 2 4 -1 0 1 1 1 0 0 -1 -1 2 2 -1 0 1 1 0] [-1 -1 -1 -1 1 -1 4 1 0 2 0 1 0 -1 1 -2 -2 -1 -1 0 0 -1] [ 1 -1 0 2 0 0 1 4 -1 0 -1 1 0 1 1 0 0 1 -1 -1 -1 -2] [-1 1 1 -1 2 1 0 -1 4 2 1 -1 1 -2 -1 1 0 -2 1 1 -1 0] [-2 -1 1 -2 2 1 2 0 2 6 1 -1 1 -2 -1 0 -1 -2 1 1 1 1] [-2 1 0 -2 2 1 0 -1 1 1 4 -1 -1 -2 1 1 0 -1 1 2 -1 1] [ 0 0 0 0 0 0 1 1 -1 -1 -1 4 -1 0 0 0 0 1 -2 -1 1 -1] [ 1 1 1 0 0 0 0 0 1 1 -1 -1 4 0 -1 0 0 -1 2 1 1 0] [ 1 -1 -1 2 -2 -1 -1 1 -2 -2 -2 0 0 4 0 0 0 2 -1 -1 0 0] [-1 -1 -1 0 1 -1 1 1 -1 -1 1 0 -1 0 4 -1 -1 0 0 1 -3 0] [-1 1 1 0 1 2 -2 0 1 0 1 0 0 0 -1 4 2 0 0 1 0 1] [ 1 2 0 0 1 2 -2 0 0 -1 0 0 0 0 -1 2 4 0 0 0 1 0] [ 1 -1 -1 2 -2 -1 -1 1 -2 -2 -1 1 -1 2 0 0 0 4 -1 -1 0 0] [ 0 1 1 -1 0 0 -1 -1 1 1 1 -2 2 -1 0 0 0 -1 4 1 0 1] [-2 1 0 -2 2 1 0 -1 1 1 2 -1 1 -1 1 1 0 -1 1 4 0 1] [ 1 1 1 -1 -1 1 0 -1 -1 1 -1 1 1 0 -3 0 1 0 0 0 6 0] [-1 -1 1 -1 0 0 -1 -2 0 1 1 -1 0 0 0 1 0 0 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 178. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 0 1 2 1 0 2 -1 1 -1 -1 0 -2 1 0 1] [ 1 4 0 -2 0 0 0 1 2 2 1 0 0 0 0 1 1 0 0 2 0 -1] [-1 0 4 -1 0 0 0 1 1 0 1 0 -1 -1 1 -1 -1 0 -1 1 0 0] [-1 -2 -1 4 -1 0 0 -1 -2 -1 -1 1 0 1 0 0 0 1 1 -2 -1 -1] [ 1 0 0 -1 4 -1 1 -1 0 0 1 -2 1 -1 -1 -2 -2 -2 0 0 2 1] [ 1 0 0 0 -1 4 2 0 0 2 -1 0 0 -1 0 1 -1 0 -1 0 0 0] [ 2 0 0 0 1 2 4 0 0 1 1 0 0 -2 0 -1 -2 0 -2 0 0 0] [ 0 1 1 -1 -1 0 0 4 0 -1 1 1 -2 -1 2 1 1 1 -1 0 -1 -1] [ 1 2 1 -2 0 0 0 0 4 1 1 -1 1 -1 0 0 0 0 -1 2 0 0] [ 2 2 0 -1 0 2 1 -1 1 6 0 0 2 1 0 0 0 1 -1 1 0 1] [ 1 1 1 -1 1 -1 1 1 1 0 4 -1 0 0 0 -2 0 -1 -2 1 1 1] [ 0 0 0 1 -2 0 0 1 -1 0 -1 4 0 0 1 1 1 2 0 0 -2 -1] [ 2 0 -1 0 1 0 0 -2 1 2 0 0 4 0 -1 -1 0 0 0 1 0 1] [-1 0 -1 1 -1 -1 -2 -1 -1 1 0 0 0 4 0 0 2 0 1 -1 0 1] [ 1 0 1 0 -1 0 0 2 0 0 0 1 -1 0 4 0 0 1 -1 0 -1 0] [-1 1 -1 0 -2 1 -1 1 0 0 -2 1 -1 0 0 4 2 1 1 0 -1 -1] [-1 1 -1 0 -2 -1 -2 1 0 0 0 1 0 2 0 2 4 1 1 0 -1 0] [ 0 0 0 1 -2 0 0 1 0 1 -1 2 0 0 1 1 1 4 0 0 -2 -1] [-2 0 -1 1 0 -1 -2 -1 -1 -1 -2 0 0 1 -1 1 1 0 4 -1 0 -1] [ 1 2 1 -2 0 0 0 0 2 1 1 0 1 -1 0 0 0 0 -1 4 1 0] [ 0 0 0 -1 2 0 0 -1 0 0 1 -2 0 0 -1 -1 -1 -2 0 1 4 1] [ 1 -1 0 -1 1 0 0 -1 0 1 1 -1 1 1 0 -1 0 -1 -1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 179. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 -1 2 -1 1 -1 -1 1 1 2 1 -2 2 -1 -1 0 1 0 1] [ 2 4 1 -1 -1 1 1 2 -1 1 1 1 0 1 0 1 0 -1 -1 1 -1 2] [ 2 1 4 -1 -2 2 -1 -1 0 -2 2 1 1 1 -1 0 -2 -2 -1 2 -1 1] [ 1 -1 -1 4 0 0 0 1 -1 -1 0 -1 1 -1 -1 1 1 0 1 0 1 0] [-1 -1 -2 0 4 -2 1 -1 0 0 -2 0 -1 0 1 -1 1 2 0 -2 0 0] [ 2 1 2 0 -2 4 -2 1 -1 0 2 0 1 0 -1 0 -2 -2 -1 2 0 1] [-1 1 -1 0 1 -2 4 1 -1 0 -1 0 -2 0 2 0 1 1 -1 -1 0 1] [ 1 2 -1 1 -1 1 1 6 0 1 0 1 0 1 0 1 -1 0 0 0 -1 1] [-1 -1 0 -1 0 -1 -1 0 6 -2 -1 -1 0 -1 0 -1 -1 1 1 -1 0 0] [-1 1 -2 -1 0 0 0 1 -2 6 -1 0 0 0 0 0 2 1 1 -1 0 -1] [ 1 1 2 0 -2 2 -1 0 -1 -1 4 0 1 1 0 0 -1 -2 -1 2 -1 1] [ 1 1 1 -1 0 0 0 1 -1 0 0 4 0 2 -1 1 -1 -1 -1 0 -1 0] [ 2 0 1 1 -1 1 -2 0 0 0 1 0 4 0 -1 1 0 -1 2 1 0 0] [ 1 1 1 -1 0 0 0 1 -1 0 1 2 0 4 -1 1 -1 0 -1 0 -1 0] [-2 0 -1 -1 1 -1 2 0 0 0 0 -1 -1 -1 4 -2 0 0 0 0 -1 1] [ 2 1 0 1 -1 0 0 1 -1 0 0 1 1 1 -2 4 1 0 0 0 1 0] [-1 0 -2 1 1 -2 1 -1 -1 2 -1 -1 0 -1 0 1 4 1 1 -1 1 0] [-1 -1 -2 0 2 -2 1 0 1 1 -2 -1 -1 0 0 0 1 4 1 -2 1 -1] [ 0 -1 -1 1 0 -1 -1 0 1 1 -1 -1 2 -1 0 0 1 1 4 -1 0 -1] [ 1 1 2 0 -2 2 -1 0 -1 -1 2 0 1 0 0 0 -1 -2 -1 4 0 1] [ 0 -1 -1 1 0 0 0 -1 0 0 -1 -1 0 -1 -1 1 1 1 0 0 4 -1] [ 1 2 1 0 0 1 1 1 0 -1 1 0 0 0 1 0 0 -1 -1 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 180. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 2 1 -2 -1 -1 1 1 -1 0 -1 0 -1 0 -1 -1 1 0 1] [-1 4 0 -2 -2 -2 2 2 1 1 -2 2 -1 2 1 2 1 2 1 -2 0 0] [ 2 0 4 -1 1 0 0 1 1 1 1 0 1 0 -1 -1 -1 -1 -1 1 -1 2] [ 1 -2 -1 4 0 0 -2 -1 -1 0 0 -2 1 -2 -1 -1 0 0 -1 0 1 0] [ 2 -2 1 0 4 1 -2 -1 -1 0 2 0 0 0 0 -2 0 -2 -1 2 0 1] [ 1 -2 0 0 1 4 -1 -1 0 -1 1 -1 -1 -1 1 0 0 -1 -1 1 0 0] [-2 2 0 -2 -2 -1 6 3 1 1 -1 2 1 2 -1 2 -2 1 2 -1 -2 -1] [-1 2 1 -1 -1 -1 3 6 1 1 0 1 1 1 -1 2 0 0 0 0 -2 2] [-1 1 1 -1 -1 0 1 1 4 -1 -1 1 0 1 0 0 1 1 0 -1 -1 1] [ 1 1 1 0 0 -1 1 1 -1 4 -1 0 1 0 -1 0 0 1 1 -1 0 0] [ 1 -2 1 0 2 1 -1 0 -1 -1 4 -1 1 0 0 -1 -1 -2 -1 2 -1 1] [-1 2 0 -2 0 -1 2 1 1 0 -1 4 -1 2 0 1 0 0 0 -1 0 0] [ 0 -1 1 1 0 -1 1 1 0 1 1 -1 4 -1 -1 -1 -1 -1 1 1 -1 1] [-1 2 0 -2 0 -1 2 1 1 0 0 2 -1 4 0 1 0 1 0 -1 0 0] [ 0 1 -1 -1 0 1 -1 -1 0 -1 0 0 -1 0 4 0 1 0 1 0 0 0] [-1 2 -1 -1 -2 0 2 2 0 0 -1 1 -1 1 0 4 1 1 0 -1 0 0] [ 0 1 -1 0 0 0 -2 0 1 0 -1 0 -1 0 1 1 4 1 0 -1 1 1] [-1 2 -1 0 -2 -1 1 0 1 1 -2 0 -1 1 0 1 1 4 1 -2 1 -1] [-1 1 -1 -1 -1 -1 2 0 0 1 -1 0 1 0 1 0 0 1 4 -1 -1 -1] [ 1 -2 1 0 2 1 -1 0 -1 -1 2 -1 1 -1 0 -1 -1 -2 -1 4 0 1] [ 0 0 -1 1 0 0 -2 -2 -1 0 -1 0 -1 0 0 0 1 1 -1 0 4 -1] [ 1 0 2 0 1 0 -1 2 1 0 1 0 1 0 0 0 1 -1 -1 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 181. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -2 0 -1 1 -1 -1 1 2 1 1 -1 0 0 2 2 2 -2 -1 -1] [-1 4 -2 2 -1 -1 -1 1 1 1 -2 0 1 1 0 0 -1 -2 -1 2 -1 2] [ 2 -2 4 -2 0 -1 0 -1 -1 0 1 1 -1 -2 1 -1 1 2 0 -2 1 0] [-2 2 -2 4 0 1 -1 2 0 0 -2 -1 0 2 0 1 -2 -1 -1 1 0 1] [ 0 -1 0 0 4 -1 0 0 -2 -2 2 -1 0 0 -1 0 -1 -1 1 1 0 -2] [-1 -1 -1 1 -1 6 1 2 -1 0 -1 1 0 1 1 0 -1 -1 -1 1 0 -2] [ 1 -1 0 -1 0 1 4 1 -1 1 2 1 -1 -1 1 -1 2 0 0 0 1 -1] [-1 1 -1 2 0 2 1 4 0 0 -1 1 0 1 0 -1 -1 -2 -2 2 0 -1] [-1 1 -1 0 -2 -1 -1 0 4 0 -2 0 0 1 -1 0 0 0 -1 0 0 2] [ 1 1 0 0 -2 0 1 0 0 4 -1 0 1 -1 1 -1 2 0 0 0 -1 2] [ 2 -2 1 -2 2 -1 2 -1 -2 -1 6 1 0 -2 1 -1 1 2 2 -2 0 -2] [ 1 0 1 -1 -1 1 1 1 0 0 1 4 -1 0 1 -1 0 1 -1 -1 0 -1] [ 1 1 -1 0 0 0 -1 0 0 1 0 -1 4 0 -1 0 0 -1 1 1 -2 0] [-1 1 -2 2 0 1 -1 1 1 -1 -2 0 0 4 -1 2 -2 0 0 0 0 -1] [ 0 0 1 0 -1 1 1 0 -1 1 1 1 -1 -1 4 -1 0 0 -1 -1 1 1] [ 0 0 -1 1 0 0 -1 -1 0 -1 -1 -1 0 2 -1 4 0 1 1 -1 0 0] [ 2 -1 1 -2 -1 -1 2 -1 0 2 1 0 0 -2 0 0 4 1 1 -1 0 1] [ 2 -2 2 -1 -1 -1 0 -2 0 0 2 1 -1 0 0 1 1 6 2 -4 1 0] [ 2 -1 0 -1 1 -1 0 -2 -1 0 2 -1 1 0 -1 1 1 2 4 -2 -1 -1] [-2 2 -2 1 1 1 0 2 0 0 -2 -1 1 0 -1 -1 -1 -4 -2 6 0 0] [-1 -1 1 0 0 0 1 0 0 -1 0 0 -2 0 1 0 0 1 -1 0 4 0] [-1 2 0 1 -2 -2 -1 -1 2 2 -2 -1 0 -1 1 0 1 0 -1 0 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 182. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 1 1 1 2 0 0 1 -2 1 2 -1 -1 2 -1 -1 1 1 1] [ 2 4 0 -2 -1 -1 2 1 1 -1 0 0 -1 2 1 0 1 0 -1 0 1 -1] [ 1 0 4 0 0 -1 0 0 0 1 2 -1 1 0 -1 0 -1 -2 1 2 -1 -1] [-1 -2 0 4 2 -1 -2 -1 -1 -1 0 0 0 -1 0 -1 0 0 0 0 -1 2] [ 1 -1 0 2 6 -1 -2 -1 1 -2 2 -1 0 0 0 0 1 -2 1 2 1 4] [ 1 -1 -1 -1 -1 6 1 2 -1 2 0 0 2 1 -2 -2 0 0 0 0 1 1] [ 1 2 0 -2 -2 1 4 2 1 0 0 0 -1 1 1 0 1 0 0 0 0 -1] [ 2 1 0 -1 -1 2 2 4 -1 0 0 0 1 2 -1 0 2 0 0 0 0 1] [ 0 1 0 -1 1 -1 1 -1 4 -1 0 0 -1 0 1 0 -1 0 1 0 0 0] [ 0 -1 1 -1 -2 2 0 0 -1 4 0 0 1 0 -1 0 -1 0 0 0 -1 -1] [ 1 0 2 0 2 0 0 0 0 0 4 -1 1 1 0 0 0 -2 1 2 0 1] [-2 0 -1 0 -1 0 0 0 0 0 -1 4 -1 0 0 1 -1 0 0 -1 0 0] [ 1 -1 1 0 0 2 -1 1 -1 1 1 -1 4 0 -1 -1 0 -1 1 1 0 1] [ 2 2 0 -1 0 1 1 2 0 0 1 0 0 4 -1 0 1 0 -1 0 1 1] [-1 1 -1 0 0 -2 1 -1 1 -1 0 0 -1 -1 4 0 0 0 1 0 -1 0] [-1 0 0 -1 0 -2 0 0 0 0 0 1 -1 0 0 4 1 0 0 0 0 0] [ 2 1 -1 0 1 0 1 2 -1 -1 0 -1 0 1 0 1 4 0 -1 0 1 2] [-1 0 -2 0 -2 0 0 0 0 0 -2 0 -1 0 0 0 0 4 -1 -2 0 -1] [-1 -1 1 0 1 0 0 0 1 0 1 0 1 -1 1 0 -1 -1 4 1 -1 1] [ 1 0 2 0 2 0 0 0 0 0 2 -1 1 0 0 0 0 -2 1 4 1 1] [ 1 1 -1 -1 1 1 0 0 0 -1 0 0 0 1 -1 0 1 0 -1 1 4 0] [ 1 -1 -1 2 4 1 -1 1 0 -1 1 0 1 1 0 0 2 -1 1 1 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 183. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 1 1 2 1 1 1 0 1 2 1 0 -2 0 1 1 -1 1] [ 1 4 -2 -2 -1 1 0 1 1 0 2 0 0 1 0 1 0 1 0 2 1 0] [-1 -2 4 1 2 -2 0 -1 -2 0 -2 0 0 -1 0 1 0 -1 -1 0 -1 -1] [-1 -2 1 6 0 -3 2 -1 -3 2 -1 -2 1 -3 -1 -2 -2 1 2 0 1 2] [-2 -1 2 0 6 0 -1 0 1 0 0 1 1 0 0 1 3 -2 0 1 0 -2] [ 1 1 -2 -3 0 6 -2 2 2 0 1 2 -1 2 0 -1 0 -2 1 1 -1 0] [ 1 0 0 2 -1 -2 4 1 0 0 0 -2 0 0 1 -1 -2 0 1 -1 0 1] [ 2 1 -1 -1 0 2 1 4 2 1 1 1 0 2 0 -1 0 -1 2 0 -1 1] [ 1 1 -2 -3 1 2 0 2 6 -2 1 2 1 3 2 1 3 -2 0 -1 -1 -1] [ 1 0 0 2 0 0 0 1 -2 4 0 -1 0 0 -2 -1 -2 1 2 2 0 1] [ 1 2 -2 -1 0 1 0 1 1 0 4 0 0 1 1 0 0 1 0 2 1 0] [ 0 0 0 -2 1 2 -2 1 2 -1 0 4 1 1 1 1 2 -1 0 0 0 0] [ 1 0 0 1 1 -1 0 0 1 0 0 1 4 0 1 1 1 0 1 1 0 1] [ 2 1 -1 -3 0 2 0 2 3 0 1 1 0 4 1 1 0 -1 0 0 -1 -1] [ 1 0 0 -1 0 0 1 0 2 -2 1 1 1 1 4 1 0 -1 -1 0 0 0] [ 0 1 1 -2 1 -1 -1 -1 1 -1 0 1 1 1 1 4 2 0 -2 1 0 -1] [-2 0 0 -2 3 0 -2 0 3 -2 0 2 1 0 0 2 6 -1 -1 -1 0 -1] [ 0 1 -1 1 -2 -2 0 -1 -2 1 1 -1 0 -1 -1 0 -1 4 0 1 2 1] [ 1 0 -1 2 0 1 1 2 0 2 0 0 1 0 -1 -2 -1 0 4 0 0 2] [ 1 2 0 0 1 1 -1 0 -1 2 2 0 1 0 0 1 -1 1 0 6 1 0] [-1 1 -1 1 0 -1 0 -1 -1 0 1 0 0 -1 0 0 0 2 0 1 4 0] [ 1 0 -1 2 -2 0 1 1 -1 1 0 0 1 -1 0 -1 -1 1 2 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 184. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 1 2 -2 -1 1 0 0 -1 -2 -1 -1 -1 1 -2 0 -1 0] [-2 6 2 -2 1 -2 -3 2 0 -2 0 -2 0 0 -2 2 2 -2 2 -2 2 -1] [ 0 2 4 -1 0 0 -1 -1 0 0 0 -2 1 -1 -2 2 0 0 0 -2 0 1] [ 1 -2 -1 4 -1 2 0 -1 1 0 1 0 0 -1 1 -1 0 2 0 0 -2 1] [-2 1 0 -1 4 -2 0 2 1 0 0 0 0 0 -1 0 0 -1 0 0 1 1] [ 1 -2 0 2 -2 4 0 -1 1 0 0 0 0 0 2 0 0 2 0 0 -2 1] [ 2 -3 -1 0 0 0 4 -1 -1 1 -1 1 -1 -1 0 -1 -1 1 -2 1 -1 1] [-2 2 -1 -1 2 -1 -1 4 0 -1 0 0 -1 1 1 0 1 -1 1 0 1 -1] [-1 0 0 1 1 1 -1 0 4 0 1 0 1 1 1 0 0 0 1 0 0 1] [ 1 -2 0 0 0 0 1 -1 0 4 -1 0 -1 0 0 -2 -2 -1 -1 0 0 0] [ 0 0 0 1 0 0 -1 0 1 -1 4 -1 2 -1 -1 1 -1 1 -1 -1 0 0] [ 0 -2 -2 0 0 0 1 0 0 0 -1 4 -1 1 2 -1 1 0 0 2 0 0] [-1 0 1 0 0 0 -1 -1 1 -1 2 -1 4 1 0 2 -1 1 0 -1 0 0] [-2 0 -1 -1 0 0 -1 1 1 0 -1 1 1 4 3 0 0 -1 2 1 1 -1] [-1 -2 -2 1 -1 2 0 1 1 0 -1 2 0 3 6 0 0 0 2 2 0 0] [-1 2 2 -1 0 0 -1 0 0 -2 1 -1 2 0 0 4 0 0 1 -1 1 1] [-1 2 0 0 0 0 -1 1 0 -2 -1 1 -1 0 0 0 4 0 1 0 0 0] [ 1 -2 0 2 -1 2 1 -1 0 -1 1 0 1 -1 0 0 0 4 -1 0 -2 1] [-2 2 0 0 0 0 -2 1 1 -1 -1 0 0 2 2 1 1 -1 4 0 1 0] [ 0 -2 -2 0 0 0 1 0 0 0 -1 2 -1 1 2 -1 0 0 0 4 1 0] [-1 2 0 -2 1 -2 -1 1 0 0 0 0 0 1 0 1 0 -2 1 1 4 -1] [ 0 -1 1 1 1 1 1 -1 1 0 0 0 0 -1 0 1 0 1 0 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 185. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 -1 2 1 -2 -2 -1 2 0 -2 -2 1 -1 1 -1 -2 0 1 0] [ 0 4 1 -2 -1 0 0 0 0 -2 -2 -2 2 -2 -2 2 2 0 1 -2 0 1] [-1 1 6 2 1 1 2 1 3 0 -3 -1 1 -2 -2 -2 0 1 0 -1 -1 -2] [ 0 -2 2 6 1 1 2 2 1 3 2 2 -2 2 -1 -2 -3 1 -2 2 -1 -1] [-1 -1 1 1 4 -1 1 1 0 2 -2 0 -1 2 -1 -2 -2 2 1 0 -2 0] [ 2 0 1 1 -1 4 2 -2 0 0 0 0 -1 -2 1 -1 0 -1 -2 0 1 0] [ 1 0 2 2 1 2 4 -1 0 0 0 0 -2 -1 -1 -2 0 1 -1 0 -1 0] [-2 0 1 2 1 -2 -1 4 1 1 0 1 1 2 -1 0 -1 1 1 1 -1 0] [-2 0 3 1 0 0 0 1 4 1 -2 0 2 0 0 -1 -1 1 0 0 -1 -1] [-1 -2 0 3 2 0 0 1 1 6 -1 1 -2 4 1 0 -4 0 0 1 -1 0] [ 2 -2 -3 2 -2 0 0 0 -2 -1 8 3 -3 0 0 -1 1 -1 -2 3 1 -1] [ 0 -2 -1 2 0 0 0 1 0 1 3 4 -2 1 1 -1 0 0 -1 2 0 0] [-2 2 1 -2 -1 -1 -2 1 2 -2 -3 -2 6 0 0 2 0 1 1 -2 0 0] [-2 -2 -2 2 2 -2 -1 2 0 4 0 1 0 6 1 1 -4 1 1 1 -1 1] [ 1 -2 -2 -1 -1 1 -1 -1 0 1 0 1 0 1 6 1 -1 -2 0 1 2 1] [-1 2 -2 -2 -2 -1 -2 0 -1 0 -1 -1 2 1 1 6 0 -2 2 -1 2 2] [ 1 2 0 -3 -2 0 0 -1 -1 -4 1 0 0 -4 -1 0 6 -1 0 -1 1 0] [-1 0 1 1 2 -1 1 1 1 0 -1 0 1 1 -2 -2 -1 4 0 0 -2 0] [-2 1 0 -2 1 -2 -1 1 0 0 -2 -1 1 1 0 2 0 0 4 -1 0 1] [ 0 -2 -1 2 0 0 0 1 0 1 3 2 -2 1 1 -1 -1 0 -1 4 1 0] [ 1 0 -1 -1 -2 1 -1 -1 -1 -1 1 0 0 -1 2 2 1 -2 0 1 4 0] [ 0 1 -2 -1 0 0 0 0 -1 0 -1 0 0 1 1 2 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 186. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 2 -2 -1 -1 1 -1 1 0 1 -1 -1 -1 0 2 -1 -2 1 1 -2] [ 0 4 -1 -1 1 2 -1 1 1 2 0 -1 2 -1 2 2 0 -2 1 2 -1 1] [-1 -1 4 0 0 0 2 -1 -1 -2 1 -1 1 -1 1 -2 -2 0 -1 0 -1 1] [ 2 -1 0 4 -2 -1 -1 0 -2 -1 0 0 -1 0 -1 0 1 1 -2 -1 0 0] [-2 1 0 -2 4 2 1 -1 0 0 0 -1 1 1 1 1 -2 -1 2 1 0 2] [-1 2 0 -1 2 4 -1 1 0 0 0 -2 2 -1 2 2 -1 -2 1 2 0 1] [-1 -1 2 -1 1 -1 4 -2 0 -1 1 0 0 0 0 -1 -2 1 1 -1 0 0] [ 1 1 -1 0 -1 1 -2 4 1 2 0 0 1 -1 1 1 2 -2 -1 2 0 -2] [-1 1 -1 -2 0 0 0 1 4 2 -1 1 1 -1 1 1 1 0 1 0 -1 0] [ 1 2 -2 -1 0 0 -1 2 2 6 -2 2 1 -1 1 1 2 0 0 0 -1 -2] [ 0 0 1 0 0 0 1 0 -1 -2 4 -2 1 1 0 0 -1 -2 0 2 0 0] [ 1 -1 -1 0 -1 -2 0 0 1 2 -2 4 -1 0 -1 -1 1 1 -1 -1 1 -2] [-1 2 1 -1 1 2 0 1 1 1 1 -1 4 -1 2 1 -1 -2 0 2 -1 1] [-1 -1 -1 0 1 -1 0 -1 -1 -1 1 0 -1 4 -1 0 -1 1 1 -1 1 0] [-1 2 1 -1 1 2 0 1 1 1 0 -1 2 -1 4 1 -1 -2 0 1 -1 1] [ 0 2 -2 0 1 2 -1 1 1 1 0 -1 1 0 1 4 1 -1 1 1 0 1] [ 2 0 -2 1 -2 -1 -2 2 1 2 -1 1 -1 -1 -1 1 4 0 -1 0 0 -1] [-1 -2 0 1 -1 -2 1 -2 0 0 -2 1 -2 1 -2 -1 0 6 1 -4 0 0] [-2 1 -1 -2 2 1 1 -1 1 0 0 -1 0 1 0 1 -1 1 4 -1 0 1] [ 1 2 0 -1 1 2 -1 2 0 0 2 -1 2 -1 1 1 0 -4 -1 6 1 0] [ 1 -1 -1 0 0 0 0 0 -1 -1 0 1 -1 1 -1 0 0 0 0 1 4 -2] [-2 1 1 0 2 1 0 -2 0 -2 0 -2 1 0 1 1 -1 0 1 0 -2 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 187. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 0 -1 1 0 1 -2 0 2 0 -2 -1 0 2 -1 -2 0 1] [ 2 4 0 0 1 1 -2 -1 1 0 0 -1 1 -1 -1 0 -1 0 -2 0 -1 0] [ 2 0 4 0 -1 -1 0 0 -1 0 -2 0 0 0 0 -1 -1 2 1 -2 1 1] [ 1 0 0 4 -1 1 1 2 -1 0 0 2 1 2 -1 -1 -1 0 0 0 0 2] [ 0 1 -1 -1 4 0 0 0 1 1 1 0 1 0 -1 -1 2 -1 0 1 0 0] [ 0 1 -1 1 0 4 0 0 0 -1 0 1 0 1 0 1 0 0 -1 0 1 1] [-1 -2 0 1 0 0 4 2 -2 0 0 1 -1 1 1 0 0 0 2 0 0 1] [ 1 -1 0 2 0 0 2 4 -1 0 0 2 1 2 -1 0 0 0 1 0 0 2] [ 0 1 -1 -1 1 0 -2 -1 4 1 1 0 0 0 0 0 1 -1 -1 1 -1 0] [ 1 0 0 0 1 -1 0 0 1 4 -1 0 1 0 -1 0 1 1 0 -1 -1 0] [-2 0 -2 0 1 0 0 0 1 -1 4 0 0 1 1 0 0 -2 0 2 -1 0] [ 0 -1 0 2 0 1 1 2 0 0 0 4 0 2 -1 0 0 -1 0 0 1 2] [ 2 1 0 1 1 0 -1 1 0 1 0 0 4 0 -1 -1 1 0 0 0 0 1] [ 0 -1 0 2 0 1 1 2 0 0 1 2 0 4 -1 0 0 0 0 0 1 2] [-2 -1 0 -1 -1 0 1 -1 0 -1 1 -1 -1 -1 4 0 -1 -1 2 1 -1 0] [-1 0 -1 -1 -1 1 0 0 0 0 0 0 -1 0 0 4 0 0 -1 0 0 0] [ 0 -1 -1 -1 2 0 0 0 1 1 0 0 1 0 -1 0 4 0 0 0 1 0] [ 2 0 2 0 -1 0 0 0 -1 1 -2 -1 0 0 -1 0 0 4 0 -2 1 0] [-1 -2 1 0 0 -1 2 1 -1 0 0 0 0 0 2 -1 0 0 4 0 0 1] [-2 0 -2 0 1 0 0 0 1 -1 2 0 0 0 1 0 0 -2 0 4 0 0] [ 0 -1 1 0 0 1 0 0 -1 -1 -1 1 0 1 -1 0 1 1 0 0 4 0] [ 1 0 1 2 0 1 1 2 0 0 0 2 1 2 0 0 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 188. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 1 -2 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 0 1 1 -1 -1 -1 0] [ 0 4 1 -1 1 2 2 -2 2 2 -2 -2 2 2 -1 2 -1 2 -1 -2 1 1] [ 0 1 4 -2 0 0 1 -1 1 2 -2 -2 1 1 0 -1 1 2 -2 -2 -1 -1] [ 1 -1 -2 4 0 0 -1 0 -2 -1 2 1 0 0 -1 0 0 -1 1 1 0 -1] [-2 1 0 0 4 2 1 -1 2 1 1 -1 1 1 1 1 -2 1 0 -1 1 0] [-1 2 0 0 2 4 2 -2 1 2 -1 -2 2 2 -1 2 -1 2 0 -2 2 0] [ 1 2 1 -1 1 2 4 -2 2 2 -2 -3 1 1 0 1 0 3 -1 -3 1 1] [-1 -2 -1 0 -1 -2 -2 4 -1 -1 2 3 -1 -1 0 -2 1 -3 2 3 -1 1] [-1 2 1 -2 2 1 2 -1 6 3 -2 -3 0 0 0 1 -2 3 0 -3 1 2] [-1 2 2 -1 1 2 2 -1 3 6 -3 -3 2 2 -1 0 1 3 0 -3 0 1] [-1 -2 -2 2 1 -1 -2 2 -2 -3 6 2 -1 -1 0 -1 0 -2 2 2 0 -1] [-1 -2 -2 1 -1 -2 -3 3 -3 -3 2 6 -1 0 1 -1 0 -4 1 4 -1 0] [-1 2 1 0 1 2 1 -1 0 2 -1 -1 4 2 -1 1 0 0 -1 -1 1 0] [-1 2 1 0 1 2 1 -1 0 2 -1 0 2 4 -1 1 0 1 -1 -1 1 0] [-1 -1 0 -1 1 -1 0 0 0 -1 0 1 -1 -1 4 -1 -1 -1 0 1 -1 0] [ 0 2 -1 0 1 2 1 -2 1 0 -1 -1 1 1 -1 4 -1 1 -1 -1 2 1] [ 1 -1 1 0 -2 -1 0 1 -2 1 0 0 0 0 -1 -1 4 0 0 0 -1 0] [ 1 2 2 -1 1 2 3 -3 3 3 -2 -4 0 1 -1 1 0 6 -1 -4 1 0] [-1 -1 -2 1 0 0 -1 2 0 0 2 1 -1 -1 0 -1 0 -1 4 1 0 1] [-1 -2 -2 1 -1 -2 -3 3 -3 -3 2 4 -1 -1 1 -1 0 -4 1 6 0 0] [-1 1 -1 0 1 2 1 -1 1 0 0 -1 1 1 -1 2 -1 1 0 0 4 0] [ 0 1 -1 -1 0 0 1 1 2 1 -1 0 0 0 0 1 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 189. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 -2 -2 1 1 1 0 0 0 1 0 -1 1 -1 0 0 0 -1 -1] [ 2 4 2 1 -2 -1 -1 -1 0 0 0 1 1 1 -1 0 -2 0 -1 0 -1 -2] [ 2 2 4 2 -2 -1 -1 1 1 -1 0 -1 0 -1 0 -1 -2 0 0 0 0 -2] [ 2 1 2 4 -1 -2 -1 2 0 -1 1 -1 1 -1 -1 1 -1 -1 1 1 1 -1] [-2 -2 -2 -1 4 2 -1 0 -1 -1 0 1 0 1 0 0 0 0 1 0 1 2] [-2 -1 -1 -2 2 4 0 0 0 0 -1 1 -1 1 1 0 0 1 1 -1 1 1] [ 1 -1 -1 -1 -1 0 6 2 0 1 1 1 -1 1 1 1 1 -1 0 1 -1 2] [ 1 -1 1 2 0 0 2 6 1 0 1 0 1 0 -1 2 -1 -1 2 1 2 1] [ 1 0 1 0 -1 0 0 1 4 0 -2 -1 1 -1 -1 0 1 2 1 -2 0 -1] [ 0 0 -1 -1 -1 0 1 0 0 4 1 0 1 1 0 1 1 1 -1 -1 -1 0] [ 0 0 0 1 0 -1 1 1 -2 1 4 0 0 1 1 0 -1 -2 0 2 0 1] [ 0 1 -1 -1 1 1 1 0 -1 0 0 4 0 2 -1 1 -1 -1 -1 0 0 1] [ 1 1 0 1 0 -1 -1 1 1 1 0 0 4 0 -1 1 0 0 1 0 0 0] [ 0 1 -1 -1 1 1 1 0 -1 1 1 2 0 4 -1 1 -1 0 -1 0 0 1] [-1 -1 0 -1 0 1 1 -1 -1 0 1 -1 -1 -1 4 -2 0 -1 1 1 -1 1] [ 1 0 -1 1 0 0 1 2 0 1 0 1 1 1 -2 4 1 0 0 0 1 1] [-1 -2 -2 -1 0 0 1 -1 1 1 -1 -1 0 -1 0 1 4 1 0 -1 0 1] [ 0 0 0 -1 0 1 -1 -1 2 1 -2 -1 0 0 -1 0 1 4 0 -2 0 -1] [ 0 -1 0 1 1 1 0 2 1 -1 0 -1 1 -1 1 0 0 0 4 0 1 1] [ 0 0 0 1 0 -1 1 1 -2 -1 2 0 0 0 1 0 -1 -2 0 4 1 1] [-1 -1 0 1 1 1 -1 2 0 -1 0 0 0 0 -1 1 0 0 1 1 4 0] [-1 -2 -2 -1 2 1 2 1 -1 0 1 1 0 1 1 1 1 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 190. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 0 2 1 -2 -1 0 -1 0 -1 -1 0 1 -1 0 -1 -2 -2 1] [-2 4 -1 1 0 -1 -1 2 1 1 1 1 2 1 1 1 0 -1 1 0 2 0] [ 0 -1 6 -3 -2 2 0 0 0 -2 2 -2 1 2 -2 -3 -2 1 1 -1 2 -2] [ 1 1 -3 6 -1 1 -1 0 0 1 0 1 0 0 0 4 1 -1 1 1 -1 1] [ 0 0 -2 -1 6 -1 2 1 2 2 0 -1 -1 -2 0 -1 2 2 -1 -2 0 1] [ 2 -1 2 1 -1 6 1 -1 1 -1 1 -1 -1 1 -2 -1 -2 1 2 -2 1 1] [ 1 -1 0 -1 2 1 4 -1 1 -1 1 -1 -1 0 1 -1 1 1 0 -1 1 0] [-2 2 0 0 1 -1 -1 4 2 0 1 -1 0 0 0 0 0 1 1 0 1 0] [-1 1 0 0 2 1 1 2 4 0 2 -2 0 0 0 0 0 2 2 0 2 0] [ 0 1 -2 1 2 -1 -1 0 0 4 0 1 0 -1 0 1 1 -1 -1 -1 -1 0] [-1 1 2 0 0 1 1 1 2 0 4 -2 1 2 0 0 0 1 2 0 2 -2] [ 0 1 -2 1 -1 -1 -1 -1 -2 1 -2 4 0 -1 1 1 0 -2 -1 1 -1 1] [-1 2 1 0 -1 -1 -1 0 0 0 1 0 4 2 0 0 0 -1 0 1 1 -1] [-1 1 2 0 -2 1 0 0 0 -1 2 -1 2 4 0 -1 0 0 1 1 1 -2] [ 0 1 -2 0 0 -2 1 0 0 0 0 1 0 0 4 1 0 -1 0 1 -1 0] [ 1 1 -3 4 -1 -1 -1 0 0 1 0 1 0 -1 1 6 1 -1 0 1 -1 1] [-1 0 -2 1 2 -2 1 0 0 1 0 0 0 0 0 1 4 0 -1 1 0 0] [ 0 -1 1 -1 2 1 1 1 2 -1 1 -2 -1 0 -1 -1 0 4 1 0 1 0] [-1 1 1 1 -1 2 0 1 2 -1 2 -1 0 1 0 0 -1 1 4 0 2 0] [-2 0 -1 1 -2 -2 -1 0 0 -1 0 1 1 1 1 1 1 0 0 6 0 -1] [-2 2 2 -1 0 1 1 1 2 -1 2 -1 1 1 -1 -1 0 1 2 0 6 -1] [ 1 0 -2 1 1 1 0 0 0 0 -2 1 -1 -2 0 1 0 0 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 191. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 -1 1 0 -1 0 2 2 0 1 0 -1 -1 2 -2 0 -2 2 1] [ 0 4 -2 -2 2 2 0 2 -1 1 1 -1 1 0 -1 1 1 1 1 -1 -1 -1] [ 1 -2 4 2 -2 -1 1 -2 0 0 -1 0 -1 0 1 0 1 -2 -1 1 1 0] [ 1 -2 2 4 -2 -2 0 -1 0 0 0 0 -1 1 1 0 0 -1 -1 0 2 1] [-1 2 -2 -2 4 0 1 1 -1 0 -1 0 0 -1 0 1 0 0 0 1 -1 0] [ 1 2 -1 -2 0 6 -2 2 1 1 0 -2 0 -1 0 -2 2 -1 2 0 -1 -2] [ 0 0 1 0 1 -2 4 -2 -2 0 -1 0 1 1 -1 2 -1 -1 -2 1 0 0] [-1 2 -2 -1 1 2 -2 4 1 0 0 0 0 0 0 -1 0 1 2 0 -1 0] [ 0 -1 0 0 -1 1 -2 1 4 -1 1 0 0 0 0 -2 1 1 2 -1 0 0] [ 2 1 0 0 0 1 0 0 -1 4 0 -1 1 -1 0 0 1 0 0 -2 0 0] [ 2 1 -1 0 -1 0 -1 0 1 0 6 0 1 2 -2 0 1 2 1 -4 1 0] [ 0 -1 0 0 0 -2 0 0 0 -1 0 4 0 0 -1 0 -1 -1 -1 0 1 2] [ 1 1 -1 -1 0 0 1 0 0 1 1 0 4 0 -1 0 0 0 1 -1 0 1] [ 0 0 0 1 -1 -1 1 0 0 -1 2 0 0 4 -2 1 -1 1 -1 -1 1 0] [-1 -1 1 1 0 0 -1 0 0 0 -2 -1 -1 -2 4 -1 0 -1 1 2 -1 0] [-1 1 0 0 1 -2 2 -1 -2 0 0 0 0 1 -1 4 0 1 -2 0 0 0] [ 2 1 1 0 0 2 -1 0 1 1 1 -1 0 -1 0 0 4 -1 1 -1 1 0] [-2 1 -2 -1 0 -1 -1 1 1 0 2 -1 0 1 -1 1 -1 6 1 -2 -1 -1] [ 0 1 -1 -1 0 2 -2 2 2 0 1 -1 1 -1 1 -2 1 1 4 -1 -1 0] [-2 -1 1 0 1 0 1 0 -1 -2 -4 0 -1 -1 2 0 -1 -2 -1 6 0 0] [ 2 -1 1 2 -1 -1 0 -1 0 0 1 1 0 1 -1 0 1 -1 -1 0 4 1] [ 1 -1 0 1 0 -2 0 0 0 0 0 2 1 0 0 0 0 -1 0 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 192. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 0 2 -1 -1 -2 1 -1 1 2 0 0 1 0 -1 -1 0 2 2 0] [-1 4 2 -1 0 2 -1 1 0 2 1 0 0 0 0 0 -1 0 1 -2 -1 0] [-2 2 6 -2 -2 1 0 2 -1 1 -1 -2 2 2 1 -2 1 2 -1 -2 -2 -2] [ 0 -1 -2 4 0 -1 1 0 0 -1 -1 0 -1 -1 0 1 -1 0 -1 1 -1 0] [ 2 0 -2 0 4 1 -1 -2 2 0 0 2 0 -1 1 0 -2 -1 0 2 2 0] [-1 2 1 -1 1 6 -2 2 -1 0 0 -1 2 1 -2 -1 0 -1 -1 -1 -2 1] [-1 -1 0 1 -1 -2 6 -2 1 2 -1 -1 -2 -2 1 0 1 2 0 -1 1 1] [-2 1 2 0 -2 2 -2 6 -1 -1 -1 -2 2 2 -1 1 2 1 0 0 -4 0] [ 1 0 -1 0 2 -1 1 -1 4 0 0 1 0 -2 2 0 -1 1 0 1 1 0] [-1 2 1 -1 0 0 2 -1 0 4 0 0 -1 -1 0 0 0 0 1 -1 1 1] [ 1 1 -1 -1 0 0 -1 -1 0 0 4 0 -1 -1 0 1 0 0 1 0 0 0] [ 2 0 -2 0 2 -1 -1 -2 1 0 0 4 -1 0 1 0 -2 -1 1 0 2 0] [ 0 0 2 -1 0 2 -2 2 0 -1 -1 -1 4 2 0 -1 1 0 -2 0 -1 -1] [ 0 0 2 -1 -1 1 -2 2 -2 -1 -1 0 2 4 0 -1 1 0 0 -1 -1 -1] [ 1 0 1 0 1 -2 1 -1 2 0 0 1 0 0 4 0 -1 2 0 0 1 -2] [ 0 0 -2 1 0 -1 0 1 0 0 1 0 -1 -1 0 4 1 0 1 1 0 1] [-1 -1 1 -1 -2 0 1 2 -1 0 0 -2 1 1 -1 1 4 1 0 0 -1 1] [-1 0 2 0 -1 -1 2 1 1 0 0 -1 0 0 2 0 1 4 0 0 -1 -1] [ 0 1 -1 -1 0 -1 0 0 0 1 1 1 -2 0 0 1 0 0 4 -1 1 1] [ 2 -2 -2 1 2 -1 -1 0 1 -1 0 0 0 -1 0 1 0 0 -1 6 1 0] [ 2 -1 -2 -1 2 -2 1 -4 1 1 0 2 -1 -1 1 0 -1 -1 1 1 6 0] [ 0 0 -2 0 0 1 1 0 0 1 0 0 -1 -1 -2 1 1 -1 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 193. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 -1 2 -1 0 -2 -1 0 -2 1 2 -2 2 -1 0 -1 0 2 -2] [-1 4 0 1 2 -2 -1 -1 2 -1 1 -1 -1 -2 2 0 -1 -1 1 1 1 1] [ 2 0 4 -1 -1 1 -2 1 -1 -2 -1 -2 -1 0 -2 0 0 1 0 -1 2 -1] [-1 1 -1 4 0 0 1 1 2 0 0 1 1 0 0 0 1 0 2 0 1 0] [-1 2 -1 0 4 -2 0 -1 0 0 1 0 -1 -1 3 -1 -1 -1 0 1 1 2] [ 2 -2 1 0 -2 4 1 0 -2 0 0 0 2 2 -2 1 0 0 0 0 1 -2] [-1 -1 -2 1 0 1 4 -1 0 2 1 2 2 1 1 -1 0 -1 0 1 0 0] [ 0 -1 1 1 -1 0 -1 4 1 -1 -2 0 0 0 -1 0 2 2 1 -2 0 -1] [-2 2 -1 2 0 -2 0 1 6 -1 -1 1 0 -1 2 -1 2 1 0 -1 -1 1] [-1 -1 -2 0 0 0 2 -1 -1 4 0 1 1 0 1 -1 0 0 -1 0 -1 0] [ 0 1 -1 0 1 0 1 -2 -1 0 4 1 1 0 0 1 -1 -2 0 2 0 0] [-2 -1 -2 1 0 0 2 0 1 1 1 4 1 0 1 -1 1 0 0 0 -1 1] [ 1 -1 -1 1 -1 2 2 0 0 1 1 1 4 2 0 1 1 -1 0 1 1 -2] [ 2 -2 0 0 -1 2 1 0 -1 0 0 0 2 4 -1 1 0 -1 -1 0 1 -1] [-2 2 -2 0 3 -2 1 -1 2 1 0 1 0 -1 6 -2 -1 0 0 0 1 2] [ 2 0 0 0 -1 1 -1 0 -1 -1 1 -1 1 1 -2 4 0 -1 0 1 0 -1] [-1 -1 0 1 -1 0 0 2 2 0 -1 1 1 0 -1 0 4 1 0 -1 -1 0] [ 0 -1 1 0 -1 0 -1 2 1 0 -2 0 -1 -1 0 -1 1 4 0 -2 0 0] [-1 1 0 2 0 0 0 1 0 -1 0 0 0 -1 0 0 0 0 4 0 1 0] [ 0 1 -1 0 1 0 1 -2 -1 0 2 0 1 0 0 1 -1 -2 0 4 1 0] [ 2 1 2 1 1 1 0 0 -1 -1 0 -1 1 1 1 0 -1 0 1 1 6 -1] [-2 1 -1 0 2 -2 0 -1 1 0 0 1 -2 -1 2 -1 0 0 0 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 194. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 2 0 2 -2 0 2 -1 -1 -1 -2 1 0 -1 1 2 0 2 1 1] [-1 6 3 -3 2 -1 1 -2 0 -2 -2 2 -2 -3 -1 -2 1 1 0 0 0 -2] [-1 3 6 -3 1 1 1 -1 1 1 1 0 1 0 1 0 1 1 -1 1 -1 0] [ 2 -3 -3 6 -2 1 -2 2 1 1 1 0 -2 0 1 0 1 1 2 1 2 0] [ 0 2 1 -2 4 -1 1 -2 0 0 0 1 0 -2 -1 0 0 0 -1 0 -1 1] [ 2 -1 1 1 -1 4 -2 0 2 1 1 -1 -1 2 1 0 1 2 -1 2 0 1] [-2 1 1 -2 1 -2 4 -1 -2 -1 -1 0 2 -2 0 1 0 -2 1 -2 -1 -1] [ 0 -2 -1 2 -2 0 -1 4 -1 2 0 0 1 2 1 0 0 0 1 0 0 0] [ 2 0 1 1 0 2 -2 -1 4 0 1 0 -1 1 1 -1 0 2 0 2 1 1] [-1 -2 1 1 0 1 -1 2 0 6 4 0 1 2 2 2 -1 1 -1 0 -1 1] [-1 -2 1 1 0 1 -1 0 1 4 6 -1 1 2 2 2 0 1 -1 0 -1 1] [-1 2 0 0 1 -1 0 0 0 0 -1 4 0 -2 -1 -1 -1 0 0 0 1 -1] [-2 -2 1 -2 0 -1 2 1 -1 1 1 0 6 2 1 1 -1 -2 0 -1 -1 1] [ 1 -3 0 0 -2 2 -2 2 1 2 2 -2 2 6 2 1 0 1 -1 1 -1 1] [ 0 -1 1 1 -1 1 0 1 1 2 2 -1 1 2 4 0 1 1 1 1 -1 0] [-1 -2 0 0 0 0 1 0 -1 2 2 -1 1 1 0 4 0 -1 -1 -1 -1 1] [ 1 1 1 1 0 1 0 0 0 -1 0 -1 -1 0 1 0 4 1 1 1 0 0] [ 2 1 1 1 0 2 -2 0 2 1 1 0 -2 1 1 -1 1 4 0 2 1 0] [ 0 0 -1 2 -1 -1 1 1 0 -1 -1 0 0 -1 1 -1 1 0 4 -1 1 -1] [ 2 0 1 1 0 2 -2 0 2 0 0 0 -1 1 1 -1 1 2 -1 4 1 1] [ 1 0 -1 2 -1 0 -1 0 1 -1 -1 1 -1 -1 -1 -1 0 1 1 1 4 -1] [ 1 -2 0 0 1 1 -1 0 1 1 1 -1 1 1 0 1 0 0 -1 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 195. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 0 -1 1 -1 1 -2 1 0 -1 1 -1 0 1 -1 0 2 1 0] [ 2 4 2 -1 -1 -1 1 0 0 -2 0 0 -1 0 -1 -1 0 -1 1 2 1 1] [ 1 2 4 1 -2 1 2 0 0 -1 0 0 1 0 -2 -2 0 1 -1 1 -1 -1] [-1 -1 1 4 -2 0 -1 1 1 2 -1 0 2 0 0 -2 1 2 -2 -2 -2 0] [ 0 -1 -2 -2 4 0 -1 -1 -1 -1 1 1 -1 0 1 2 -1 -1 2 0 1 0] [-1 -1 1 0 0 4 1 1 0 0 1 1 1 -1 0 -1 0 1 0 1 -1 -1] [ 1 1 2 -1 -1 1 4 -1 -1 -2 1 0 -1 1 -2 0 0 -1 -1 1 1 -1] [-1 0 0 1 -1 1 -1 4 0 2 -1 -1 1 -2 0 -2 0 1 0 -1 -1 1] [ 1 0 0 1 -1 0 -1 0 4 1 0 1 1 1 1 0 0 1 -1 1 -1 -1] [-2 -2 -1 2 -1 0 -2 2 1 6 -2 0 2 -2 0 0 1 2 -1 -1 -2 0] [ 1 0 0 -1 1 1 1 -1 0 -2 4 0 0 2 1 1 0 0 1 2 0 0] [ 0 0 0 0 1 1 0 -1 1 0 0 4 -1 0 1 0 0 0 0 0 0 -1] [-1 -1 1 2 -1 1 -1 1 1 2 0 -1 4 0 0 -1 0 2 -1 0 -2 0] [ 1 0 0 0 0 -1 1 -2 1 -2 2 0 0 4 1 1 0 0 -1 0 0 0] [-1 -1 -2 0 1 0 -2 0 1 0 1 1 0 1 4 0 0 0 1 -1 0 0] [ 0 -1 -2 -2 2 -1 0 -2 0 0 1 0 -1 1 0 4 -1 -1 1 1 1 0] [ 1 0 0 1 -1 0 0 0 0 1 0 0 0 0 0 -1 4 1 -1 0 0 1] [-1 -1 1 2 -1 1 -1 1 1 2 0 0 2 0 0 -1 1 4 -1 0 -2 0] [ 0 1 -1 -2 2 0 -1 0 -1 -1 1 0 -1 -1 1 1 -1 -1 4 1 1 1] [ 2 2 1 -2 0 1 1 -1 1 -1 2 0 0 0 -1 1 0 0 1 6 1 0] [ 1 1 -1 -2 1 -1 1 -1 -1 -2 0 0 -2 0 0 1 0 -2 1 1 4 0] [ 0 1 -1 0 0 -1 -1 1 -1 0 0 -1 0 0 0 0 1 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 196. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 0 1 2 0 1 1 -1 -1 -1 -1 -2 0 1 2 -1 -1] [ 1 4 0 1 0 -1 0 0 1 1 2 -1 0 0 -2 1 -1 -1 0 1 1 0] [-1 0 4 2 -1 -1 1 -2 -1 -1 0 0 0 2 1 2 0 1 -2 0 0 -1] [-1 1 2 6 -1 -1 2 1 0 1 0 0 2 2 1 0 1 -1 0 -2 0 0] [ 1 0 -1 -1 4 1 -2 1 0 1 0 0 -2 -2 0 -2 -2 -1 1 2 0 1] [ 1 -1 -1 -1 1 4 -1 1 1 -1 -1 2 0 0 1 0 -2 1 1 -1 -2 0] [ 0 0 1 2 -2 -1 4 -1 1 -1 0 0 2 1 1 0 2 1 0 -1 0 0] [ 1 0 -2 1 1 1 -1 4 1 1 0 0 0 -1 -1 -2 0 -1 2 0 0 1] [ 2 1 -1 0 0 1 1 1 4 0 1 1 1 -1 -1 -1 0 0 2 1 -1 1] [ 0 1 -1 1 1 -1 -1 1 0 4 0 0 0 0 0 -1 -1 -1 1 1 0 0] [ 1 2 0 0 0 -1 0 0 1 0 4 -2 0 0 -2 0 1 0 0 0 1 0] [ 1 -1 0 0 0 2 0 0 1 0 -2 4 0 0 1 0 -2 0 0 0 -2 0] [-1 0 0 2 -2 0 2 0 1 0 0 0 4 2 0 0 2 1 1 -2 0 0] [-1 0 2 2 -2 0 1 -1 -1 0 0 0 2 4 1 2 0 2 -1 -2 0 -2] [-1 -2 1 1 0 1 1 -1 -1 0 -2 1 0 1 4 0 0 1 0 -1 -1 -1] [-1 1 2 0 -2 0 0 -2 -1 -1 0 0 0 2 0 4 -1 1 -2 -1 0 -1] [-2 -1 0 1 -2 -2 2 0 0 -1 1 -2 2 0 0 -1 6 0 1 -2 2 1] [ 0 -1 1 -1 -1 1 1 -1 0 -1 0 0 1 2 1 1 0 4 0 0 0 -1] [ 1 0 -2 0 1 1 0 2 2 1 0 0 1 -1 0 -2 1 0 4 0 0 1] [ 2 1 0 -2 2 -1 -1 0 1 1 0 0 -2 -2 -1 -1 -2 0 0 6 1 0] [-1 1 0 0 0 -2 0 0 -1 0 1 -2 0 0 -1 0 2 0 0 1 4 0] [-1 0 -1 0 1 0 0 1 1 0 0 0 0 -2 -1 -1 1 -1 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 197. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 -2 1 1 0 1 1 -2 1 -1 0 -1 1 2 1 1 -2 -1 0] [-2 4 2 1 2 0 -1 -1 1 -2 2 -1 0 -1 0 -1 -1 1 -1 2 -1 1] [-2 2 4 2 2 -1 0 -1 -1 -2 2 0 1 0 1 -1 -2 1 -1 2 -1 1] [-1 1 2 4 1 1 0 1 1 -1 1 0 2 0 -1 -2 -1 2 -2 1 -2 2] [-2 2 2 1 4 0 0 -1 1 -1 1 0 0 1 1 -1 -1 0 -2 1 0 0] [ 1 0 -1 1 0 4 -1 1 2 -1 0 0 0 -1 -2 0 0 2 -1 0 -2 0] [ 1 -1 0 0 0 -1 4 1 1 2 -1 1 -1 2 1 -1 1 1 0 -1 -1 0] [ 0 -1 -1 1 -1 1 1 4 0 2 0 1 1 0 -1 0 1 0 -1 0 0 1] [ 1 1 -1 1 1 2 1 0 6 -1 -1 0 -1 1 -1 -1 2 3 -1 -1 -3 1] [ 1 -2 -2 -1 -1 -1 2 2 -1 6 -2 0 0 1 0 1 2 -1 1 -2 1 0] [-2 2 2 1 1 0 -1 0 -1 -2 4 -1 1 0 1 0 -2 0 -1 2 0 0] [ 1 -1 0 0 0 0 1 1 0 0 -1 4 0 0 -1 -1 1 1 -1 -1 0 1] [-1 0 1 2 0 0 -1 1 -1 0 1 0 4 -1 0 -1 0 -1 0 1 1 1] [ 0 -1 0 0 1 -1 2 0 1 1 0 0 -1 4 1 0 0 0 -1 -1 0 0] [-1 0 1 -1 1 -2 1 -1 -1 0 1 -1 0 1 4 1 -1 -2 1 1 2 -2] [ 1 -1 -1 -2 -1 0 -1 0 -1 1 0 -1 -1 0 1 4 0 -1 1 0 1 -1] [ 2 -1 -2 -1 -1 0 1 1 2 2 -2 1 0 0 -1 0 4 0 1 -2 0 1] [ 1 1 1 2 0 2 1 0 3 -1 0 1 -1 0 -2 -1 0 6 -1 0 -4 2] [ 1 -1 -1 -2 -2 -1 0 -1 -1 1 -1 -1 0 -1 1 1 1 -1 4 -1 1 -1] [-2 2 2 1 1 0 -1 0 -1 -2 2 -1 1 -1 1 0 -2 0 -1 4 1 0] [-1 -1 -1 -2 0 -2 -1 0 -3 1 0 0 1 0 2 1 0 -4 1 1 6 -2] [ 0 1 1 2 0 0 0 1 1 0 0 1 1 0 -2 -1 1 2 -1 0 -2 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 198. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 1 -2 0 1 -1 2 -2 0 -1 -2 2 0 -1 -2 -1 -2 0 1] [-2 4 2 0 1 0 -1 -2 -1 -1 2 0 1 0 -1 0 0 0 -1 2 -1 -1] [-2 2 4 2 1 1 0 -2 0 -2 2 0 0 0 -2 0 0 0 0 2 0 -2] [-2 0 2 4 -1 2 0 -1 2 -2 1 0 -1 2 -1 1 1 1 2 1 1 -1] [ 1 1 1 -1 4 -2 -1 -2 -1 -1 0 1 1 -2 1 -1 0 -1 -2 0 -1 -1] [-2 0 1 2 -2 4 1 1 1 0 1 -1 -1 2 -2 1 0 1 2 1 1 0] [ 0 -1 0 0 -1 1 4 1 -1 1 1 0 -1 1 -1 -1 1 -1 2 1 0 -1] [ 1 -2 -2 -1 -2 1 1 6 0 3 -1 1 0 -1 1 -1 -2 0 2 -1 1 1] [-1 -1 0 2 -1 1 -1 0 6 -3 0 -2 0 3 0 2 -1 1 -1 0 -1 2] [ 2 -1 -2 -2 -1 0 1 3 -3 6 -2 1 -1 -1 0 -1 0 0 2 -2 1 0] [-2 2 2 1 0 1 1 -1 0 -2 4 0 0 0 -1 0 0 0 0 2 -1 -1] [ 0 0 0 0 1 -1 0 1 -2 1 0 4 0 -1 1 -1 0 0 2 0 0 -1] [-1 1 0 -1 1 -1 -1 0 0 -1 0 0 4 -1 0 -1 0 0 -2 0 0 0] [-2 0 0 2 -2 2 1 -1 3 -1 0 -1 -1 6 -2 2 1 1 1 1 0 1] [ 2 -1 -2 -1 1 -2 -1 1 0 0 -1 1 0 -2 4 -1 -1 -1 0 -1 -1 1] [ 0 0 0 1 -1 1 -1 -1 2 -1 0 -1 -1 2 -1 4 0 0 -1 0 0 2] [-1 0 0 1 0 0 1 -2 -1 0 0 0 0 1 -1 0 4 1 1 0 1 -1] [-2 0 0 1 -1 1 -1 0 1 0 0 0 0 1 -1 0 1 4 1 0 1 0] [-1 -1 0 2 -2 2 2 2 -1 2 0 2 -2 1 0 -1 1 1 6 0 1 -1] [-2 2 2 1 0 1 1 -1 0 -2 2 0 0 1 -1 0 0 0 0 4 0 -1] [ 0 -1 0 1 -1 1 0 1 -1 1 -1 0 0 0 -1 0 1 1 1 0 4 -1] [ 1 -1 -2 -1 -1 0 -1 1 2 0 -1 -1 0 1 1 2 -1 0 -1 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 199. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 -1 -2 1 2 -1 0 1 2 0 0 0 -1 1 -1 0 1 0 2] [ 2 4 1 0 0 -2 1 2 -2 1 0 2 1 1 -1 1 0 -1 1 1 -1 2] [ 0 1 4 0 1 -1 -1 -1 1 0 1 1 0 1 0 1 -1 -1 1 1 0 1] [ 0 0 0 4 2 0 1 -1 -2 -1 -1 0 -2 -1 -2 1 1 1 1 -1 -2 1] [-1 0 1 2 4 1 -1 -1 0 -1 0 -1 -1 1 -2 2 -1 0 1 0 -1 1] [-2 -2 -1 0 1 4 0 -1 2 -1 -1 -2 0 -1 0 1 -1 0 -1 0 0 -1] [ 1 1 -1 1 -1 0 4 0 -1 -1 -1 1 -1 0 -1 -1 1 1 1 -1 0 1] [ 2 2 -1 -1 -1 -1 0 4 -1 1 1 1 1 0 0 0 1 -1 0 1 0 1] [-1 -2 1 -2 0 2 -1 -1 6 -1 1 -1 1 1 2 -1 0 0 -2 0 1 -1] [ 0 1 0 -1 -1 -1 -1 1 -1 4 -1 0 2 0 1 0 1 0 0 0 -1 0] [ 1 0 1 -1 0 -1 -1 1 1 -1 4 0 0 1 0 -1 0 0 1 0 1 0] [ 2 2 1 0 -1 -2 1 1 -1 0 0 4 -1 1 0 0 0 0 0 0 0 1] [ 0 1 0 -2 -1 0 -1 1 1 2 0 -1 4 0 1 0 0 -1 -1 1 0 0] [ 0 1 1 -1 1 -1 0 0 1 0 1 1 0 4 0 0 -1 1 1 -1 1 0] [ 0 -1 0 -2 -2 0 -1 0 2 1 0 0 1 0 4 -1 0 -1 -2 0 1 -1] [-1 1 1 1 2 1 -1 0 -1 0 -1 0 0 0 -1 4 -1 -1 0 1 -1 1] [ 1 0 -1 1 -1 -1 1 1 0 1 0 0 0 -1 0 -1 4 1 0 -1 -1 1] [-1 -1 -1 1 0 0 1 -1 0 0 0 0 -1 1 -1 -1 1 4 1 -2 0 -1] [ 0 1 1 1 1 -1 1 0 -2 0 1 0 -1 1 -2 0 0 1 4 -1 0 1] [ 1 1 1 -1 0 0 -1 1 0 0 0 0 1 -1 0 1 -1 -2 -1 4 1 1] [ 0 -1 0 -2 -1 0 0 0 1 -1 1 0 0 1 1 -1 -1 0 0 1 4 -1] [ 2 2 1 1 1 -1 1 1 -1 0 0 1 0 0 -1 1 1 -1 1 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 200. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 2 2 -2 2 -1 -2 1 1 0 1 0 -1 1 -1 -1 1 1 2] [-1 4 -2 2 -2 1 -1 -1 0 -1 -1 1 -1 1 1 1 1 1 -1 -1 -1 0] [ 2 -2 4 -2 2 0 0 1 0 0 1 0 1 0 -1 0 0 -1 0 1 0 1] [-1 2 -2 4 -2 0 1 -2 0 -1 -2 1 -1 1 1 -1 -1 2 -1 -2 -1 0] [ 2 -2 2 -2 4 1 -1 1 0 -1 1 -1 1 -1 -1 0 1 -1 0 1 1 1] [ 2 1 0 0 1 4 -1 0 0 -1 0 0 0 0 0 -1 1 0 -2 0 0 2] [-2 -1 0 1 -1 -1 6 -3 0 3 -1 0 -1 0 1 0 -3 1 1 -1 0 -1] [ 2 -1 1 -2 1 0 -3 6 1 -2 3 -1 -1 -1 1 1 1 -3 0 3 2 2] [-1 0 0 0 0 0 0 1 4 -1 0 -1 0 -1 0 0 1 0 0 0 -1 1] [-2 -1 0 -1 -1 -1 3 -2 -1 6 -1 -1 1 -1 -1 0 -1 1 2 -1 0 -2] [ 1 -1 1 -2 1 0 -1 3 0 -1 4 -1 0 0 1 1 0 -2 0 2 1 1] [ 1 1 0 1 -1 0 0 -1 -1 -1 -1 4 -1 2 0 0 0 0 -1 -1 0 0] [ 0 -1 1 -1 1 0 -1 -1 0 1 0 -1 4 -1 -1 -1 1 0 1 0 -1 0] [ 1 1 0 1 -1 0 0 -1 -1 -1 0 2 -1 4 0 0 0 1 -1 -1 0 0] [ 0 1 -1 1 -1 0 1 1 0 -1 1 0 -1 0 4 0 -1 -1 1 1 0 1] [-1 1 0 -1 0 -1 0 1 0 0 1 0 -1 0 0 4 1 -1 0 1 1 0] [ 1 1 0 -1 1 1 -3 1 1 -1 0 0 1 0 -1 1 4 0 0 0 0 1] [-1 1 -1 2 -1 0 1 -3 0 1 -2 0 0 1 -1 -1 0 4 0 -2 -1 -1] [-1 -1 0 -1 0 -2 1 0 0 2 0 -1 1 -1 1 0 0 0 4 0 0 -1] [ 1 -1 1 -2 1 0 -1 3 0 -1 2 -1 0 -1 1 1 0 -2 0 4 2 1] [ 1 -1 0 -1 1 0 0 2 -1 0 1 0 -1 0 0 1 0 -1 0 2 4 0] [ 2 0 1 0 1 2 -1 2 1 -2 1 0 0 0 1 0 1 -1 -1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 201. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 -2 2 1 1 0 -2 2 0 -2 0 -2 -1 2 2 -2 -2 0 1] [-2 4 1 2 2 -2 -1 0 0 0 -2 -1 1 -1 1 1 -2 0 0 0 0 -1] [ 0 1 4 2 2 -2 -1 2 1 -1 -2 1 -1 1 1 1 0 2 -1 -2 1 1] [-1 2 2 4 1 -1 -2 0 0 0 -1 1 -1 1 2 2 -1 0 0 0 0 1] [-2 2 2 1 4 -3 0 1 0 1 -3 0 0 0 2 1 -1 1 1 -1 1 0] [ 2 -2 -2 -1 -3 6 -1 -2 0 1 4 0 -2 0 0 -1 1 -2 1 2 -2 1] [ 1 -1 -1 -2 0 -1 4 0 -1 0 0 -1 0 -1 -1 0 0 1 0 -1 0 -1] [ 1 0 2 0 1 -2 0 6 -1 -3 -3 2 -2 2 1 -2 2 4 0 -4 0 2] [ 0 0 1 0 0 0 -1 -1 4 -1 0 0 1 0 -1 0 1 0 -1 0 0 0] [-2 0 -1 0 1 1 0 -3 -1 6 0 -1 1 -1 1 1 -1 -2 3 2 0 -1] [ 2 -2 -2 -1 -3 4 0 -3 0 0 6 -1 0 0 -1 0 0 -2 -1 2 -1 0] [ 0 -1 1 1 0 0 -1 2 0 -1 -1 4 -2 2 1 0 1 0 0 -1 0 2] [-2 1 -1 -1 0 -2 0 -2 1 1 0 -2 6 -2 -1 0 -1 -2 0 2 1 -2] [ 0 -1 1 1 0 0 -1 2 0 -1 0 2 -2 4 1 0 1 1 0 -1 0 2] [-2 1 1 2 2 0 -1 1 -1 1 -1 1 -1 1 6 0 -1 -1 4 1 -2 2] [-1 1 1 2 1 -1 0 -2 0 1 0 0 0 0 0 4 -1 -1 -1 1 1 0] [ 2 -2 0 -1 -1 1 0 2 1 -1 0 1 -1 1 -1 -1 4 2 0 -2 0 2] [ 2 0 2 0 1 -2 1 4 0 -2 -2 0 -2 1 -1 -1 2 6 -1 -4 1 1] [-2 0 -1 0 1 1 0 0 -1 3 -1 0 0 0 4 -1 0 -1 6 1 -2 1] [-2 0 -2 0 -1 2 -1 -4 0 2 2 -1 2 -1 1 1 -2 -4 1 6 0 -1] [ 0 0 1 0 1 -2 0 0 0 0 -1 0 1 0 -2 1 0 1 -2 0 4 -1] [ 1 -1 1 1 0 1 -1 2 0 -1 0 2 -2 2 2 0 2 1 1 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 202. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 1 1 1 0 0 0 1 2 2 1 -1 1 -1 -1 0 -1 2 0 -1] [-1 4 -1 -2 1 -2 1 1 1 1 0 -1 -1 -1 0 0 -1 1 2 0 -1 1] [ 0 -1 4 -1 -1 0 -2 -2 1 1 1 2 2 -1 -1 -1 1 1 -1 1 -1 -2] [ 1 -2 -1 4 1 2 0 0 0 0 0 -1 0 1 0 1 -1 -1 -2 0 1 0] [ 1 1 -1 1 4 -1 0 0 0 0 1 0 0 0 -1 -1 -1 0 0 1 0 0] [ 1 -2 0 2 -1 4 0 1 -1 -1 0 -1 1 1 0 1 -1 0 -2 0 0 0] [ 0 1 -2 0 0 0 4 2 0 -1 -1 -1 -1 1 1 1 -2 1 1 -1 -1 2] [ 0 1 -2 0 0 1 2 4 0 0 -1 -2 0 1 1 1 -1 1 1 -1 -1 2] [ 0 1 1 0 0 -1 0 0 4 1 1 0 0 0 1 -1 -1 1 0 1 -1 -1] [ 1 1 1 0 0 -1 -1 0 1 6 0 0 1 -2 0 1 1 1 1 0 -1 0] [ 2 0 1 0 1 0 -1 -1 1 0 4 1 1 0 1 -1 -1 0 -1 2 0 -2] [ 2 -1 2 -1 0 -1 -1 -2 0 0 1 6 1 -2 -1 -3 1 1 -1 1 0 -1] [ 1 -1 2 0 0 1 -1 0 0 1 1 1 4 -1 0 -1 1 0 0 1 0 -1] [-1 -1 -1 1 0 1 1 1 0 -2 0 -2 -1 4 0 1 -1 0 -1 -1 0 1] [ 1 0 -1 0 -1 0 1 1 1 0 1 -1 0 0 4 1 -1 -1 1 1 1 -1] [-1 0 -1 1 -1 1 1 1 -1 1 -1 -3 -1 1 1 4 -1 0 0 -1 0 1] [-1 -1 1 -1 -1 -1 -2 -1 -1 1 -1 1 1 -1 -1 -1 4 -1 1 -1 1 0] [ 0 1 1 -1 0 0 1 1 1 1 0 1 0 0 -1 0 -1 4 0 0 -2 1] [-1 2 -1 -2 0 -2 1 1 0 1 -1 -1 0 -1 1 0 1 0 4 -1 0 1] [ 2 0 1 0 1 0 -1 -1 1 0 2 1 1 -1 1 -1 -1 0 -1 4 1 -2] [ 0 -1 -1 1 0 0 -1 -1 -1 -1 0 0 0 0 1 0 1 -2 0 1 4 -1] [-1 1 -2 0 0 0 2 2 -1 0 -2 -1 -1 1 -1 1 0 1 1 -2 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 203. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 -1 1 2 1 -1 1 1 -2 0 2 0 -1 1 -1 2 1 1 1] [ 1 4 -1 1 1 -1 2 1 0 2 1 1 1 2 -1 -1 -1 -1 1 1 1 2] [ 2 -1 4 0 -2 2 0 0 0 1 1 -1 0 1 0 -1 2 -1 1 1 0 0] [ 2 1 0 4 1 1 1 0 -1 0 0 0 -1 2 1 0 1 0 1 0 1 1] [-1 1 -2 1 4 0 1 -1 1 -1 -1 0 -1 -1 1 1 0 1 0 -1 0 1] [ 1 -1 2 1 0 4 0 -1 -1 1 0 0 -1 1 1 -1 1 0 0 0 -1 1] [ 2 2 0 1 1 0 4 0 -1 0 0 -1 0 1 0 0 0 0 2 0 0 2] [ 1 1 0 0 -1 -1 0 4 -1 1 2 1 2 2 -2 0 -1 -2 0 2 2 1] [-1 0 0 -1 1 -1 -1 -1 6 -2 1 1 1 0 -1 2 -1 -1 0 1 1 -1] [ 1 2 1 0 -1 1 0 1 -2 6 0 0 1 1 -1 -3 1 0 1 0 0 1] [ 1 1 1 0 -1 0 0 2 1 0 4 1 2 3 -1 0 -1 -2 0 2 1 1] [-2 1 -1 0 0 0 -1 1 1 0 1 6 1 2 -2 1 -2 -2 -2 1 1 1] [ 0 1 0 -1 -1 -1 0 2 1 1 2 1 4 1 -1 0 -1 -2 1 2 1 1] [ 2 2 1 2 -1 1 1 2 0 1 3 2 1 6 -2 0 -1 -2 0 2 2 2] [ 0 -1 0 1 1 1 0 -2 -1 -1 -1 -2 -1 -2 4 -1 1 1 1 -1 -2 0] [-1 -1 -1 0 1 -1 0 0 2 -3 0 1 0 0 -1 4 0 0 -1 0 1 0] [ 1 -1 2 1 0 1 0 -1 -1 1 -1 -2 -1 -1 1 0 4 1 1 -1 0 0] [-1 -1 -1 0 1 0 0 -2 -1 0 -2 -2 -2 -2 1 0 1 4 0 -2 -1 -1] [ 2 1 1 1 0 0 2 0 0 1 0 -2 1 0 1 -1 1 0 4 0 0 1] [ 1 1 1 0 -1 0 0 2 1 0 2 1 2 2 -1 0 -1 -2 0 4 2 1] [ 1 1 0 1 0 -1 0 2 1 0 1 1 1 2 -2 1 0 -1 0 2 4 0] [ 1 2 0 1 1 1 2 1 -1 1 1 1 1 2 0 0 0 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 204. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 0 1 0 1 0 2 0 2 0 2 2 -1 -2 -1 2 1 0] [ 2 4 -1 -1 1 1 1 1 1 1 0 -1 0 1 0 0 0 -2 -1 2 2 1] [ 0 -1 4 0 0 -2 1 -2 0 0 1 0 2 -1 1 1 -2 2 2 -2 1 1] [ 0 -1 0 4 -2 1 0 0 1 -2 0 0 0 0 2 -1 1 1 1 -1 -1 0] [ 0 1 0 -2 4 0 1 -1 0 0 0 0 0 1 0 0 -1 -1 -1 1 2 0] [ 0 1 -2 1 0 4 -1 2 0 -1 0 -1 -2 0 1 -2 1 -2 0 2 1 -1] [ 1 1 1 0 1 -1 4 0 2 -1 1 1 2 1 2 2 -2 -1 1 1 1 0] [ 0 1 -2 0 -1 2 0 4 1 0 0 -1 -2 1 0 0 1 -2 0 2 -1 -1] [ 1 1 0 1 0 0 2 1 4 -1 1 -1 1 1 2 2 -1 0 0 0 1 1] [ 0 1 0 -2 0 -1 -1 0 -1 4 -1 -1 -1 -1 -2 1 1 0 -1 0 0 1] [ 2 0 1 0 0 0 1 0 1 -1 4 1 1 -1 3 2 -2 0 0 0 0 0] [ 0 -1 0 0 0 -1 1 -1 -1 -1 1 4 0 -1 0 1 -1 1 0 -1 -2 0] [ 2 0 2 0 0 -2 2 -2 1 -1 1 0 6 1 1 2 -2 -1 0 0 2 0] [ 0 1 -1 0 1 0 1 1 1 -1 -1 -1 1 4 -1 0 1 -1 -1 1 1 -1] [ 2 0 1 2 0 1 2 0 2 -2 3 0 1 -1 6 1 -2 -1 1 1 1 0] [ 2 0 1 -1 0 -2 2 0 2 1 2 1 2 0 1 6 -1 0 -1 0 0 1] [-1 0 -2 1 -1 1 -2 1 -1 1 -2 -1 -2 1 -2 -1 4 0 -1 0 -1 0] [-2 -2 2 1 -1 -2 -1 -2 0 0 0 1 -1 -1 -1 0 0 6 1 -4 -1 2] [-1 -1 2 1 -1 0 1 0 0 -1 0 0 0 -1 1 -1 -1 1 4 -1 0 0] [ 2 2 -2 -1 1 2 1 2 0 0 0 -1 0 1 1 0 0 -4 -1 6 2 -2] [ 1 2 1 -1 2 1 1 -1 1 0 0 -2 2 1 1 0 -1 -1 0 2 6 0] [ 0 1 1 0 0 -1 0 -1 1 1 0 0 0 -1 0 1 0 2 0 -2 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 205. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 0 -1 2 -1 -2 -1 2 0 1 0 1 -1 1 -1 1 2 1 1] [-2 4 0 -1 -1 0 -2 1 0 0 -2 0 1 0 1 0 0 -1 -2 -2 -1 -1] [ 2 0 8 -2 3 2 0 3 -4 -3 0 -2 1 -2 -2 1 -2 -3 0 0 1 -1] [ 1 -1 -2 6 1 -1 1 -2 0 2 1 -1 1 -1 -1 0 1 -1 2 1 0 0] [ 0 -1 3 1 6 1 1 1 -1 0 1 -1 0 -1 -4 0 0 -2 1 1 1 0] [-1 0 2 -1 1 4 -1 2 -1 0 -1 0 0 0 -1 1 -1 -1 0 -1 -1 -2] [ 2 -2 0 1 1 -1 4 -2 -1 -1 2 0 0 0 1 0 1 -1 0 2 0 2] [-1 1 3 -2 1 2 -2 4 -1 -1 -1 0 0 0 -2 0 -2 -1 0 -1 0 -1] [-2 0 -4 0 -1 -1 -1 -1 4 2 0 1 -1 1 0 0 0 3 0 0 0 0] [-1 0 -3 2 0 0 -1 -1 2 4 0 1 0 1 0 0 1 1 1 0 -1 0] [ 2 -2 0 1 1 -1 2 -1 0 0 4 0 1 1 0 -1 1 -1 1 2 0 1] [ 0 0 -2 -1 -1 0 0 0 1 1 0 4 0 2 1 -1 1 0 -1 0 0 1] [ 1 1 1 1 0 0 0 0 -1 0 1 0 4 1 1 0 0 -3 -1 -1 0 0] [ 0 0 -2 -1 -1 0 0 0 1 1 1 2 1 4 1 -1 1 0 -1 0 0 1] [ 1 1 -2 -1 -4 -1 1 -2 0 0 0 1 1 1 6 -1 1 0 -1 0 -2 1] [-1 0 1 0 0 1 0 0 0 0 -1 -1 0 -1 -1 4 -1 0 -1 -1 0 0] [ 1 0 -2 1 0 -1 1 -2 0 1 1 1 0 1 1 -1 4 0 0 1 0 1] [-1 -1 -3 -1 -2 -1 -1 -1 3 1 -1 0 -3 0 0 0 0 6 1 1 1 0] [ 1 -2 0 2 1 0 0 0 0 1 1 -1 -1 -1 -1 -1 0 1 4 1 0 0] [ 2 -2 0 1 1 -1 2 -1 0 0 2 0 -1 0 0 -1 1 1 1 4 1 1] [ 1 -1 1 0 1 -1 0 0 0 -1 0 0 0 0 -2 0 0 1 0 1 4 0] [ 1 -1 -1 0 0 -2 2 -1 0 0 1 1 0 1 1 0 1 0 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 206. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 -1 2 1 2 2 2 1 1 1 0 1 -1 1 1 1 0 1] [ 1 4 0 -2 -2 0 2 2 1 0 0 0 1 0 0 -1 -1 -1 2 1 1 -1] [-1 0 4 2 2 0 -2 0 -2 -1 -1 -2 -2 1 -1 0 -1 -2 1 0 -1 -1] [-1 -2 2 6 2 -1 -2 0 -2 0 -2 -2 -2 1 1 0 -1 -1 -2 -2 -1 1] [-2 -2 2 2 6 2 -2 -1 -1 0 0 0 -2 0 1 2 1 0 0 0 0 -1] [-1 0 0 -1 2 6 -2 1 1 -1 1 0 0 0 2 1 3 -1 0 0 1 0] [ 2 2 -2 -2 -2 -2 6 0 1 2 2 1 2 1 1 0 0 1 1 1 0 0] [ 1 2 0 0 -1 1 0 4 2 1 0 0 1 0 1 0 -1 0 1 1 0 0] [ 2 1 -2 -2 -1 1 1 2 4 2 2 2 1 -1 1 1 0 2 1 1 1 1] [ 2 0 -1 0 0 -1 2 1 2 4 2 1 0 1 1 2 -1 2 1 0 0 0] [ 2 0 -1 -2 0 1 2 0 2 2 4 1 1 1 1 2 1 1 1 1 0 0] [ 1 0 -2 -2 0 0 1 0 2 1 1 4 0 -2 0 1 0 2 0 0 0 0] [ 1 1 -2 -2 -2 0 2 1 1 0 1 0 4 0 1 -1 1 1 0 2 1 1] [ 1 0 1 1 0 0 1 0 -1 1 1 -2 0 4 0 1 0 -1 0 0 0 0] [ 0 0 -1 1 1 2 1 1 1 1 1 0 1 0 4 0 1 0 0 0 0 1] [ 1 -1 0 0 2 1 0 0 1 2 2 1 -1 1 0 4 1 1 0 0 0 0] [-1 -1 -1 -1 1 3 0 -1 0 -1 1 0 1 0 1 1 4 0 -1 0 1 1] [ 1 -1 -2 -1 0 -1 1 0 2 2 1 2 1 -1 0 1 0 4 0 1 1 1] [ 1 2 1 -2 0 0 1 1 1 1 1 0 0 0 0 0 -1 0 4 1 0 -1] [ 1 1 0 -2 0 0 1 1 1 0 1 0 2 0 0 0 0 1 1 4 1 0] [ 0 1 -1 -1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 4 0] [ 1 -1 -1 1 -1 0 0 0 1 0 0 0 1 0 1 0 1 1 -1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 207. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 0 2 -1 -1 0 -2 -2 -1 -1 1 1 0 0 1 -1 -1 -1 1] [-2 4 2 -1 1 -1 2 0 1 2 2 -1 -1 0 -2 0 1 1 -1 0 -1 1] [-2 2 4 0 0 -1 0 1 0 2 2 0 -1 1 -1 1 -1 1 1 1 1 1] [ 1 -1 0 4 -1 -1 0 1 1 0 -2 0 0 -1 -1 -1 -1 0 1 -1 0 0] [ 0 1 0 -1 4 0 1 -1 0 0 -1 1 1 2 1 1 1 1 -1 1 -2 2] [ 2 -1 -1 -1 0 6 -3 -2 -1 -1 -2 -1 1 3 2 -1 -1 1 -1 1 -2 -1] [-1 2 0 0 1 -3 6 2 0 0 2 -1 -2 -1 -1 -1 3 1 -1 -1 1 2] [-1 0 1 1 -1 -2 2 4 0 0 2 -1 0 0 0 0 0 0 0 0 1 0] [ 0 1 0 1 0 -1 0 0 4 0 0 -1 1 -2 -2 1 -1 1 0 -2 -2 -1] [-2 2 2 0 0 -1 0 0 0 4 1 0 -1 0 -2 0 0 0 0 0 0 1] [-2 2 2 -2 -1 -2 2 2 0 1 6 -2 -1 0 -1 0 1 1 -1 0 1 1] [-1 -1 0 0 1 -1 -1 -1 -1 0 -2 4 1 0 1 1 0 -2 2 1 1 0] [-1 -1 -1 0 1 1 -2 0 1 -1 -1 1 6 0 1 0 -1 -1 0 1 -2 -3] [ 1 0 1 -1 2 3 -1 0 -2 0 0 0 0 6 2 0 0 1 -1 2 -1 2] [ 1 -2 -1 -1 1 2 -1 0 -2 -2 -1 1 1 2 4 0 0 0 0 2 0 0] [ 0 0 1 -1 1 -1 -1 0 1 0 0 1 0 0 0 4 -1 0 1 0 0 0] [ 0 1 -1 -1 1 -1 3 0 -1 0 1 0 -1 0 0 -1 4 0 -1 0 0 2] [ 1 1 1 0 1 1 1 0 1 0 1 -2 -1 1 0 0 0 4 -1 0 -1 2] [-1 -1 1 1 -1 -1 -1 0 0 0 -1 2 0 -1 0 1 -1 -1 4 0 2 -1] [-1 0 1 -1 1 1 -1 0 -2 0 0 1 1 2 2 0 0 0 0 4 1 0] [-1 -1 1 0 -2 -2 1 1 -2 0 1 1 -2 -1 0 0 0 -1 2 1 6 -1] [ 1 1 1 0 2 -1 2 0 -1 1 1 0 -3 2 0 0 2 2 -1 0 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 208. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 0 2 -2 -2 1 2 1 0 1 -1 1 1 -1 1 2 0 1] [-2 4 -2 0 0 1 -1 2 2 0 -2 0 0 0 1 0 -1 1 0 -2 1 0] [ 2 -2 4 -1 -1 0 1 0 -1 -1 2 1 -1 1 -1 0 0 -1 1 2 1 1] [-1 0 -1 4 1 -2 -2 0 0 1 -1 0 1 -1 1 1 1 2 -1 -1 -2 1] [ 1 0 -1 1 4 -1 1 -2 -1 2 -1 -1 0 -1 0 1 1 1 1 -1 0 0] [ 0 1 0 -2 -1 4 1 1 0 0 0 0 0 1 -1 -1 -2 -2 1 0 2 -1] [ 2 -1 1 -2 1 1 6 -3 -2 0 1 -1 1 0 -2 1 -2 0 0 1 3 1] [-2 2 0 0 -2 1 -3 6 3 0 -1 2 0 0 2 0 -1 0 1 -1 -1 0] [-2 2 -1 0 -1 0 -2 3 4 -1 -1 0 -1 -1 1 -1 -1 1 0 -1 0 0] [ 1 0 -1 1 2 0 0 0 -1 4 -1 0 1 -1 0 2 1 0 0 -1 -1 0] [ 2 -2 2 -1 -1 0 1 -1 -1 -1 4 0 0 0 0 0 0 -1 0 2 0 1] [ 1 0 1 0 -1 0 -1 2 0 0 0 4 1 1 0 0 1 0 1 0 -2 0] [ 0 0 -1 1 0 0 1 0 -1 1 0 1 4 -1 1 1 0 0 0 0 -1 1] [ 1 0 1 -1 -1 1 0 0 -1 -1 0 1 -1 4 -1 0 0 -1 0 1 1 0] [-1 1 -1 1 0 -1 -2 2 1 0 0 0 1 -1 4 0 0 0 1 0 -2 1] [ 1 0 0 1 1 -1 1 0 -1 2 0 0 1 0 0 4 1 1 -1 0 0 2] [ 1 -1 0 1 1 -2 -2 -1 -1 1 0 1 0 0 0 1 4 0 0 0 -2 0] [-1 1 -1 2 1 -2 0 0 1 0 -1 0 0 -1 0 1 0 4 -1 -1 0 1] [ 1 0 1 -1 1 1 0 1 0 0 0 1 0 0 1 -1 0 -1 4 0 0 0] [ 2 -2 2 -1 -1 0 1 -1 -1 -1 2 0 0 1 0 0 0 -1 0 4 1 1] [ 0 1 1 -2 0 2 3 -1 0 -1 0 -2 -1 1 -2 0 -2 0 0 1 6 0] [ 1 0 1 1 0 -1 1 0 0 0 1 0 1 0 1 2 0 1 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 209. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 0 0 -1 -1 0 0 -1 -1 -1 0 -1 -2 2 1 0 0 1 2] [-2 4 1 -1 -1 1 1 0 -1 1 1 1 0 -1 1 1 -2 0 0 1 0 0] [ 0 1 4 -1 -2 2 2 -2 -2 2 -1 0 0 1 0 0 -1 1 1 2 0 -1] [ 1 -1 -1 4 0 0 0 1 0 0 0 1 0 0 1 -2 0 1 1 0 0 2] [ 0 -1 -2 0 4 -2 -1 2 0 -2 -1 0 1 1 1 -1 0 -1 -2 -2 -1 -1] [ 0 1 2 0 -2 4 2 -2 -1 2 -1 -1 -1 0 0 0 0 0 2 2 1 0] [-1 1 2 0 -1 2 4 0 -1 1 -1 1 1 0 0 0 -1 0 2 1 -1 0] [-1 0 -2 1 2 -2 0 4 0 -2 1 1 2 -1 1 0 -1 -1 -1 -2 -2 1] [ 0 -1 -2 0 0 -1 -1 0 4 -1 1 0 0 0 -2 1 1 0 0 -1 0 1] [ 0 1 2 0 -2 2 1 -2 -1 4 -1 0 -2 0 0 0 0 0 1 2 1 0] [-1 1 -1 0 -1 -1 -1 1 1 -1 4 1 0 -1 -1 2 0 1 0 -1 0 0] [-1 1 0 1 0 -1 1 1 0 0 1 4 0 -1 1 0 -2 1 1 0 0 1] [-1 0 0 0 1 -1 1 2 0 -2 0 0 4 0 0 0 -1 0 -1 -1 -2 0] [ 0 -1 1 0 1 0 0 -1 0 0 -1 -1 0 4 0 -1 0 0 0 0 0 -2] [-1 1 0 1 1 0 0 1 -2 0 -1 1 0 0 4 -1 -2 -1 0 0 0 0] [-2 1 0 -2 -1 0 0 0 1 0 2 0 0 -1 -1 4 0 0 0 0 0 -1] [ 2 -2 -1 0 0 0 -1 -1 1 0 0 -2 -1 0 -2 0 4 0 0 0 1 0] [ 1 0 1 1 -1 0 0 -1 0 0 1 1 0 0 -1 0 0 4 0 0 0 1] [ 0 0 1 1 -2 2 2 -1 0 1 0 1 -1 0 0 0 0 0 4 1 1 1] [ 0 1 2 0 -2 2 1 -2 -1 2 -1 0 -1 0 0 0 0 0 1 4 2 0] [ 1 0 0 0 -1 1 -1 -2 0 1 0 0 -2 0 0 0 1 0 1 2 4 0] [ 2 0 -1 2 -1 0 0 1 1 0 0 1 0 -2 0 -1 0 1 1 0 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 210. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -2 1 -1 1 -2 -1 0 0 2 1 1 1 -2 -2 -2 1 -1] [ 0 4 -1 -1 1 1 1 2 0 1 -1 0 -2 1 -1 -1 0 -1 2 1 -1 -1] [ 1 -1 4 0 0 -2 0 0 -1 0 -1 -1 2 -1 0 0 2 -1 -2 0 0 1] [ 2 -1 0 4 -2 -2 0 -1 1 -2 -1 -1 0 0 0 1 1 0 0 -2 1 -1] [-2 1 0 -2 4 0 -1 2 0 2 1 -1 0 -2 -1 0 0 0 2 2 0 0] [-2 1 -2 -2 0 6 -1 0 -2 1 2 2 0 2 0 -2 -1 2 1 1 -1 -1] [ 1 1 0 0 -1 -1 4 1 0 -1 -2 -1 -1 0 0 1 0 0 0 -1 1 1] [-1 2 0 -1 2 0 1 4 0 1 -1 -2 0 -1 -2 0 0 0 1 1 0 0] [ 1 0 -1 1 0 -2 0 0 4 -1 0 -1 -1 1 -1 2 0 -1 -1 -1 1 -1] [-2 1 0 -2 2 1 -1 1 -1 4 0 0 0 -2 0 -1 -1 0 1 2 -1 1] [-1 -1 -1 -1 1 2 -2 -1 0 0 4 2 1 1 1 -1 -1 1 0 0 0 -1] [ 0 0 -1 -1 -1 2 -1 -2 -1 0 2 4 0 2 2 -2 -1 0 0 0 -1 0] [ 0 -2 2 0 0 0 -1 0 -1 0 1 0 4 0 1 0 1 0 -1 0 1 1] [ 2 1 -1 0 -2 2 0 -1 1 -2 1 2 0 6 1 -1 0 -1 -1 -1 0 -2] [ 1 -1 0 0 -1 0 0 -2 -1 0 1 2 1 1 4 -1 -1 -1 0 0 1 1] [ 1 -1 0 1 0 -2 1 0 2 -1 -1 -2 0 -1 -1 4 1 0 -1 -1 1 0] [ 1 0 2 1 0 -1 0 0 0 -1 -1 -1 1 0 -1 1 4 0 0 -1 0 -1] [-2 -1 -1 0 0 2 0 0 -1 0 1 0 0 -1 -1 0 0 4 1 0 0 0] [-2 2 -2 0 2 1 0 1 -1 1 0 0 -1 -1 0 -1 0 1 6 1 0 0] [-2 1 0 -2 2 1 -1 1 -1 2 0 0 0 -1 0 -1 -1 0 1 4 0 1] [ 1 -1 0 1 0 -1 1 0 1 -1 0 -1 1 0 1 1 0 0 0 0 4 0] [-1 -1 1 -1 0 -1 1 0 -1 1 -1 0 1 -2 1 0 -1 0 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 211. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 1 2 -1 -1 0 -2 -1 2 2 0 -2 0 1 2 1 0 0 1] [-2 4 2 2 -1 0 1 2 -1 2 1 -2 -2 -1 2 -1 -1 -2 -2 0 -1 0] [-2 2 4 2 0 -1 2 0 1 2 0 0 -1 -1 0 -1 0 -2 0 1 -1 -1] [-1 2 2 4 0 1 1 0 1 1 1 0 -2 0 0 -1 1 -2 0 0 -2 -1] [ 1 -1 0 0 4 -1 0 -1 1 0 -1 2 0 0 0 1 0 0 2 1 1 0] [ 2 0 -1 1 -1 6 -2 1 -1 -1 2 2 2 -1 0 1 1 0 -1 1 -3 2] [-1 1 2 1 0 -2 4 0 2 1 0 0 -2 1 0 -2 0 -1 0 -1 1 -2] [-1 2 0 0 -1 1 0 4 -2 0 2 -2 0 -1 3 0 -2 -1 -2 0 -1 1] [ 0 -1 1 1 1 -1 2 -2 4 1 0 2 -1 1 -2 0 2 -1 2 0 0 -1] [-2 2 2 1 0 -1 1 0 1 4 0 0 -2 0 0 0 0 -2 0 0 -1 0] [-1 1 0 1 -1 2 0 2 0 0 4 0 0 0 1 0 0 -1 -1 1 -2 0] [ 2 -2 0 0 2 2 0 -2 2 0 0 6 2 1 -2 1 2 0 2 2 0 1] [ 2 -2 -1 -2 0 2 -2 0 -1 -2 0 2 6 -2 -1 1 -1 2 0 2 1 2] [ 0 -1 -1 0 0 -1 1 -1 1 0 0 1 -2 4 0 -1 1 0 1 -1 0 -1] [-2 2 0 0 0 0 0 3 -2 0 1 -2 -1 0 6 0 -3 -2 -1 0 0 1] [ 0 -1 -1 -1 1 1 -2 0 0 0 0 1 1 -1 0 4 1 0 0 1 0 2] [ 1 -1 0 1 0 1 0 -2 2 0 0 2 -1 1 -3 1 4 0 1 0 -1 0] [ 2 -2 -2 -2 0 0 -1 -1 -1 -2 -1 0 2 0 -2 0 0 4 0 0 2 0] [ 1 -2 0 0 2 -1 0 -2 2 0 -1 2 0 1 -1 0 1 0 4 0 0 0] [ 0 0 1 0 1 1 -1 0 0 0 1 2 2 -1 0 1 0 0 0 4 0 1] [ 0 -1 -1 -2 1 -3 1 -1 0 -1 -2 0 1 0 0 0 -1 2 0 0 6 -1] [ 1 0 -1 -1 0 2 -2 1 -1 0 0 1 2 -1 1 2 0 0 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 212. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 -1 -1 -1 2 -1 -1 -2 1 1 1 -1 1 1 -1 -1 1 -1 0] [-1 4 -2 -1 2 1 0 -1 2 -1 -1 -1 0 0 1 0 -2 1 -1 -1 1 1] [ 2 -2 6 -1 0 0 -1 1 -1 -1 1 0 1 1 -2 2 2 0 -2 0 -3 -2] [ 0 -1 -1 4 -1 1 -1 0 0 0 -1 -1 0 0 1 1 1 1 1 -1 -1 1] [-1 2 0 -1 4 0 1 0 0 -1 1 -2 1 1 -1 0 -2 2 -1 -2 1 0] [-1 1 0 1 0 4 0 -1 1 -1 -1 0 0 0 0 0 -1 0 -1 0 -1 0] [-1 0 -1 -1 1 0 4 -1 -1 1 2 1 -1 -1 0 -1 -2 -1 1 1 1 1] [ 2 -1 1 0 0 -1 -1 4 0 0 -2 0 0 0 -1 0 1 0 -1 0 0 0] [-1 2 -1 0 0 1 -1 0 4 -1 -2 -1 0 0 2 1 0 1 0 -1 -1 1] [-1 -1 -1 0 -1 -1 1 0 -1 4 2 1 -1 -1 1 -1 1 -1 1 1 2 1] [-2 -1 1 -1 1 -1 2 -2 -2 2 6 0 0 0 0 0 0 0 1 0 0 0] [ 1 -1 0 -1 -2 0 1 0 -1 1 0 4 -1 0 0 -1 0 -2 0 2 0 0] [ 1 0 1 0 1 0 -1 0 0 -1 0 -1 4 2 -1 1 0 0 -1 -1 0 0] [ 1 0 1 0 1 0 -1 0 0 -1 0 0 2 4 -1 1 0 1 -1 -1 0 0] [-1 1 -2 1 -1 0 0 -1 2 1 0 0 -1 -1 4 0 0 0 2 0 -1 2] [ 1 0 2 1 0 0 -1 0 1 -1 0 -1 1 1 0 4 2 1 -1 -1 -2 1] [ 1 -2 2 1 -2 -1 -2 1 0 1 0 0 0 0 0 2 4 0 0 0 -1 0] [-1 1 0 1 2 0 -1 0 1 -1 0 -2 0 1 0 1 0 4 0 -2 0 0] [-1 -1 -2 1 -1 -1 1 -1 0 1 1 0 -1 -1 2 -1 0 0 4 0 0 1] [ 1 -1 0 -1 -2 0 1 0 -1 1 0 2 -1 -1 0 -1 0 -2 0 4 1 0] [-1 1 -3 -1 1 -1 1 0 -1 2 0 0 0 0 -1 -2 -1 0 0 1 6 0] [ 0 1 -2 1 0 0 1 0 1 1 0 0 0 0 2 1 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 213. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 1 0 -1 2 1 -1 1 2 -1 -2 0 0 2 0 1 1 0 2] [ 1 4 1 -1 -1 1 -1 2 1 1 1 2 -2 -1 -1 -1 2 1 1 2 -1 0] [ 1 1 4 -1 0 2 -2 1 2 1 -1 1 0 -1 0 1 -1 -1 0 -1 0 0] [-1 -1 -1 4 -1 0 0 0 0 -1 0 0 1 1 -1 0 1 0 1 1 -1 0] [ 1 -1 0 -1 4 0 0 0 0 1 1 0 1 1 2 0 1 0 -1 -2 1 0] [ 0 1 2 0 0 4 -2 1 0 2 0 0 1 1 0 0 -1 1 -1 0 -1 -1] [-1 -1 -2 0 0 -2 4 -2 -2 0 1 -1 0 1 0 -1 -1 1 0 -1 0 0] [ 2 2 1 0 0 1 -2 4 1 0 1 2 0 -2 0 -1 2 1 0 2 0 0] [ 1 1 2 0 0 0 -2 1 4 0 -1 2 0 -1 0 1 1 -1 1 1 0 0] [-1 1 1 -1 1 2 0 0 0 4 1 0 1 2 1 -1 -1 1 -1 -1 0 -2] [ 1 1 -1 0 1 0 1 1 -1 1 4 1 0 1 1 -2 2 2 1 1 -1 0] [ 2 2 1 0 0 0 -1 2 2 0 1 4 0 -2 0 -1 2 1 2 2 0 0] [-1 -2 0 1 1 1 0 0 0 1 0 0 4 1 1 0 -2 1 -1 -1 1 -2] [-2 -1 -1 1 1 1 1 -2 -1 2 1 -2 1 6 1 1 0 0 0 -2 -2 -1] [ 0 -1 0 -1 2 0 0 0 0 1 1 0 1 1 4 -1 0 0 -1 -2 0 0] [ 0 -1 1 0 0 0 -1 -1 1 -1 -2 -1 0 1 -1 4 0 -2 0 -1 0 1] [ 2 2 -1 1 1 -1 -1 2 1 -1 2 2 -2 0 0 0 6 0 2 2 -1 2] [ 0 1 -1 0 0 1 1 1 -1 1 2 1 1 0 0 -2 0 4 0 2 0 -1] [ 1 1 0 1 -1 -1 0 0 1 -1 1 2 -1 0 -1 0 2 0 4 1 -1 1] [ 1 2 -1 1 -2 0 -1 2 1 -1 1 2 -1 -2 -2 -1 2 2 1 6 0 0] [ 0 -1 0 -1 1 -1 0 0 0 0 -1 0 1 -2 0 0 -1 0 -1 0 4 -1] [ 2 0 0 0 0 -1 0 0 0 -2 0 0 -2 -1 0 1 2 -1 1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 214. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 1 1 -2 -2 1 -2 1 2 -1 0 0 -2 0 -2 -1 -1] [-2 4 1 -1 2 1 0 0 2 0 1 2 -1 0 0 -1 1 0 0 2 2 2] [ 0 1 4 1 1 2 2 1 1 1 -1 0 -2 0 -2 -1 2 -1 1 1 2 0] [ 1 -1 1 4 -1 1 1 -1 -1 1 -1 -1 0 0 -1 -1 -1 0 1 -1 0 -1] [-2 2 1 -1 4 2 -1 0 2 1 1 2 -1 0 0 -1 2 0 1 2 1 2] [-1 1 2 1 2 4 1 0 1 2 -1 1 -2 0 0 -2 1 0 2 1 2 1] [ 1 0 2 1 -1 1 4 0 0 1 0 0 -1 1 -1 0 0 -1 1 0 2 0] [ 1 0 1 -1 0 0 0 4 -1 -2 -1 0 -1 1 0 0 1 0 0 -1 -1 1] [-2 2 1 -1 2 1 0 -1 4 2 0 1 0 0 0 0 1 0 0 2 1 1] [-2 0 1 1 1 2 1 -2 2 6 -2 1 0 -1 -1 1 -1 0 1 2 0 0] [ 1 1 -1 -1 1 -1 0 -1 0 -2 6 1 1 2 0 -1 0 -1 1 0 0 1] [-2 2 0 -1 2 1 0 0 1 1 1 4 -1 0 0 0 0 0 0 1 1 2] [ 1 -1 -2 0 -1 -2 -1 -1 0 0 1 -1 4 0 1 1 -1 -1 0 0 -2 0] [ 2 0 0 0 0 0 1 1 0 -1 2 0 0 4 -1 0 0 -1 0 -1 0 1] [-1 0 -2 -1 0 0 -1 0 0 -1 0 0 1 -1 4 -1 -1 1 1 0 -1 1] [ 0 -1 -1 -1 -1 -2 0 0 0 1 -1 0 1 0 -1 4 0 0 -2 0 -1 0] [ 0 1 2 -1 2 1 0 1 1 -1 0 0 -1 0 -1 0 4 -1 0 1 2 1] [-2 0 -1 0 0 0 -1 0 0 0 -1 0 -1 -1 1 0 -1 4 0 0 0 0] [ 0 0 1 1 1 2 1 0 0 1 1 0 0 0 1 -2 0 0 4 0 0 1] [-2 2 1 -1 2 1 0 -1 2 2 0 1 0 -1 0 0 1 0 0 4 2 1] [-1 2 2 0 1 2 2 -1 1 0 0 1 -2 0 -1 -1 2 0 0 2 6 0] [-1 2 0 -1 2 1 0 1 1 0 1 2 0 1 1 0 1 0 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 215. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 -1 0 -1 -1 -1 1 1 2 1 0 0 2 -1 0 0 1 1 1] [-1 4 0 -1 0 1 1 0 2 0 -1 0 -1 1 0 1 0 0 -1 -1 1 1] [-2 0 4 2 0 0 1 1 0 -1 -1 -2 0 0 -1 -2 0 -1 1 0 -1 -1] [-1 -1 2 6 1 2 2 1 0 -2 2 -2 1 1 0 -2 1 -2 2 1 -3 -3] [-1 0 0 1 4 0 -1 2 0 1 1 -2 0 1 -1 -2 2 1 0 0 0 -1] [ 0 1 0 2 0 4 0 -1 1 0 2 0 1 0 1 -1 -1 -1 0 1 -2 -1] [-1 1 1 2 -1 0 4 0 1 -2 0 0 -1 0 1 0 0 -2 0 -1 0 0] [-1 0 1 1 2 -1 0 4 1 1 -1 -2 -1 2 -2 -2 2 1 1 -1 -1 -1] [-1 2 0 0 0 1 1 1 4 1 -1 -1 -2 1 1 -1 0 1 -1 -2 -1 0] [ 1 0 -1 -2 1 0 -2 1 1 4 0 0 -1 0 -1 -1 0 2 0 -1 1 0] [ 1 -1 -1 2 1 2 0 -1 -1 0 4 0 1 0 1 0 0 -1 0 1 -1 -1] [ 2 0 -2 -2 -2 0 0 -2 -1 0 0 4 0 -1 1 2 -2 0 0 0 2 1] [ 1 -1 0 1 0 1 -1 -1 -2 -1 1 0 4 0 0 1 0 -1 0 2 -1 0] [ 0 1 0 1 1 0 0 2 1 0 0 -1 0 4 0 0 1 0 0 0 -1 0] [ 0 0 -1 0 -1 1 1 -2 1 -1 1 1 0 0 4 0 -1 -1 -2 0 -1 1] [ 2 1 -2 -2 -2 -1 0 -2 -1 -1 0 2 1 0 0 6 -1 0 -1 0 2 2] [-1 0 0 1 2 -1 0 2 0 0 0 -2 0 1 -1 -1 4 0 1 0 0 -1] [ 0 0 -1 -2 1 -1 -2 1 1 2 -1 0 -1 0 -1 0 0 4 0 -1 1 0] [ 0 -1 1 2 0 0 0 1 -1 0 0 0 0 0 -2 -1 1 0 4 0 0 -2] [ 1 -1 0 1 0 1 -1 -1 -2 -1 1 0 2 0 0 0 0 -1 0 4 0 0] [ 1 1 -1 -3 0 -2 0 -1 -1 1 -1 2 -1 -1 -1 2 0 1 0 0 6 1] [ 1 1 -1 -3 -1 -1 0 -1 0 0 -1 1 0 0 1 2 -1 0 -2 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 216. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 -2 -1 0 1 -2 1 0 0 0 -1 0 1 -1 0 1 0 -1 0] [-2 4 0 1 2 1 -1 -2 2 -1 -1 0 1 1 1 1 1 0 -2 0 1 -1] [-2 0 4 2 1 -1 -1 1 1 0 -1 0 0 1 0 0 1 0 0 0 1 -1] [-2 1 2 4 2 1 -1 1 0 -1 -1 0 -1 0 -1 0 0 0 -1 0 0 0] [-2 2 1 2 4 2 -1 0 2 0 -1 0 0 1 0 0 1 0 -2 0 1 0] [-1 1 -1 1 2 4 1 0 1 0 1 0 0 -1 0 0 -1 0 -1 0 -1 0] [ 0 -1 -1 -1 -1 1 4 -1 1 1 1 -1 -1 -1 -1 -1 -2 1 0 -1 -1 1] [ 1 -2 1 1 0 0 -1 6 0 -1 -1 2 1 -1 1 -1 1 -2 0 2 -1 -1] [-2 2 1 0 2 1 1 0 6 -1 -2 -1 1 0 1 -1 2 1 -1 -1 0 -1] [ 1 -1 0 -1 0 0 1 -1 -1 4 1 -1 -1 0 -1 0 -1 1 1 -1 0 0] [ 0 -1 -1 -1 -1 1 1 -1 -2 1 4 1 0 0 0 0 -2 -1 1 1 0 0] [ 0 0 0 0 0 0 -1 2 -1 -1 1 4 2 1 1 0 0 -2 -1 2 0 -1] [ 0 1 0 -1 0 0 -1 1 1 -1 0 2 4 0 2 1 1 -1 -1 1 1 -1] [-1 1 1 0 1 -1 -1 -1 0 0 0 1 0 4 1 1 1 0 -1 0 2 0] [ 0 1 0 -1 0 0 -1 1 1 -1 0 1 2 1 4 1 1 -2 -1 1 1 -1] [ 1 1 0 0 0 0 -1 -1 -1 0 0 0 1 1 1 4 0 0 -1 0 1 0] [-1 1 1 0 1 -1 -2 1 2 -1 -2 0 1 1 1 0 4 0 0 0 1 0] [ 0 0 0 0 0 0 1 -2 1 1 -1 -2 -1 0 -2 0 0 4 1 -2 0 1] [ 1 -2 0 -1 -2 -1 0 0 -1 1 1 -1 -1 -1 -1 -1 0 1 4 -1 -1 0] [ 0 0 0 0 0 0 -1 2 -1 -1 1 2 1 0 1 0 0 -2 -1 4 1 -1] [-1 1 1 0 1 -1 -1 -1 0 0 0 0 1 2 1 1 1 0 -1 1 4 0] [ 0 -1 -1 0 0 0 1 -1 -1 0 0 -1 -1 0 -1 0 0 1 0 -1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 217. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 1 2 -1 -1 -2 -1 1 1 -2 -1 -2 -2 1 -1 2 0 2 0 0] [-1 4 1 1 0 -1 2 2 1 -2 1 2 2 -1 -1 1 1 0 0 1 -1 -1] [ 0 1 4 -1 -1 -2 -1 2 2 0 -1 2 0 -1 -1 0 2 -1 1 2 -1 1] [ 1 1 -1 4 0 1 2 -2 0 0 0 -2 1 0 0 2 0 0 1 -1 0 0] [ 2 0 -1 0 4 0 -1 0 -1 -1 2 0 -1 -1 -1 1 -1 2 -1 2 -1 -1] [-1 -1 -2 1 0 4 1 -2 0 0 0 -2 0 2 2 0 0 -1 1 -3 1 1] [-1 2 -1 2 -1 1 4 0 0 -1 0 0 1 1 1 0 0 0 1 -1 1 -1] [-2 2 2 -2 0 -2 0 6 2 -2 0 4 0 -1 -1 0 1 0 -1 2 -1 -1] [-1 1 2 0 -1 0 0 2 4 0 0 1 0 -1 -1 0 2 -1 0 0 -1 1] [ 1 -2 0 0 -1 0 -1 -2 0 4 0 -2 0 -1 -1 0 0 0 1 -1 0 2] [ 1 1 -1 0 2 0 0 0 0 0 4 0 1 -2 -2 1 0 2 -1 1 -1 0] [-2 2 2 -2 0 -2 0 4 1 -2 0 6 0 -1 1 0 2 0 -1 2 -1 -1] [-1 2 0 1 -1 0 1 0 0 0 1 0 4 0 -1 1 0 0 1 -1 0 1] [-2 -1 -1 0 -1 2 1 -1 -1 -1 -2 -1 0 6 2 -2 -1 -2 1 -3 1 0] [-2 -1 -1 0 -1 2 1 -1 -1 -1 -2 1 -1 2 6 0 0 -2 1 -1 2 0] [ 1 1 0 2 1 0 0 0 0 0 1 0 1 -2 0 4 0 0 1 1 0 1] [-1 1 2 0 -1 0 0 1 2 0 0 2 0 -1 0 0 4 -1 0 0 -1 1] [ 2 0 -1 0 2 -1 0 0 -1 0 2 0 0 -2 -2 0 -1 4 -1 2 0 -1] [ 0 0 1 1 -1 1 1 -1 0 1 -1 -1 1 1 1 1 0 -1 4 -1 1 2] [ 2 1 2 -1 2 -3 -1 2 0 -1 1 2 -1 -3 -1 1 0 2 -1 6 0 -1] [ 0 -1 -1 0 -1 1 1 -1 -1 0 -1 -1 0 1 2 0 -1 0 1 0 4 0] [ 0 -1 1 0 -1 1 -1 -1 1 2 0 -1 1 0 0 1 1 -1 2 -1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 218. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 1 1 -1 2 -1 0 -1 2 -1 1 -1 0 -1 2 0 2 1 -1] [ 2 4 -2 1 2 1 0 1 1 0 0 0 -1 0 0 0 -2 0 -1 2 1 0] [-1 -2 6 -3 -1 1 -2 -1 -1 -1 2 1 1 -2 -2 -1 1 2 1 -3 -1 -2] [ 2 1 -3 6 2 1 1 2 -1 2 -1 1 -2 1 1 2 1 -1 1 3 2 1] [ 1 2 -1 2 4 2 -1 0 1 1 0 0 -2 0 0 0 -1 0 -1 1 2 1] [ 1 1 1 1 2 4 -1 1 -1 0 1 0 -2 -1 0 1 -1 1 0 0 2 -1] [-1 0 -2 1 -1 -1 4 1 1 1 0 -1 1 1 2 2 0 -1 1 0 -1 0] [ 2 1 -1 2 0 1 1 4 -1 1 -1 1 0 0 1 1 -1 0 0 2 0 -1] [-1 1 -1 -1 1 -1 1 -1 4 1 1 -1 0 0 0 0 0 -1 0 0 0 1] [ 0 0 -1 2 1 0 1 1 1 4 0 0 -1 -1 0 2 1 -2 1 2 1 0] [-1 0 2 -1 0 1 0 -1 1 0 4 -1 0 -1 -1 0 1 1 2 -2 0 -1] [ 2 0 1 1 0 0 -1 1 -1 0 -1 4 -1 1 -1 0 0 2 0 0 0 -1] [-1 -1 1 -2 -2 -2 1 0 0 -1 0 -1 4 0 0 -1 0 0 0 -1 -2 0] [ 1 0 -2 1 0 -1 1 0 0 -1 -1 1 0 4 1 0 -1 2 0 -1 0 0] [-1 0 -2 1 0 0 2 1 0 0 -1 -1 0 1 4 1 -1 -2 -1 0 0 1] [ 0 0 -1 2 0 1 2 1 0 2 0 0 -1 0 1 4 1 -1 1 1 1 0] [-1 -2 1 1 -1 -1 0 -1 0 1 1 0 0 -1 -1 1 4 -1 2 0 0 1] [ 2 0 2 -1 0 1 -1 0 -1 -2 1 2 0 2 -2 -1 -1 6 1 -2 0 -2] [ 0 -1 1 1 -1 0 1 0 0 1 2 0 0 0 -1 1 2 1 4 -1 0 -1] [ 2 2 -3 3 1 0 0 2 0 2 -2 0 -1 -1 0 1 0 -2 -1 6 2 1] [ 1 1 -1 2 2 2 -1 0 0 1 0 0 -2 0 0 1 0 0 0 2 4 0] [-1 0 -2 1 1 -1 0 -1 1 0 -1 -1 0 0 1 0 1 -2 -1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 219. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 1 -1 2 0 0 -2 -1 1 1 0 -1 1 -1 -1 -1 -2 -1 -1] [ 2 4 -2 -1 0 -1 1 -1 -1 -2 1 0 1 -1 0 -1 -1 0 -1 -2 -1 0] [-2 -2 4 2 -1 0 -2 1 0 2 -1 -1 -1 1 1 0 0 0 2 2 1 0] [-1 -1 2 4 1 0 -1 2 0 1 -2 1 1 2 -1 0 0 0 1 1 -1 0] [ 1 0 -1 1 4 1 0 1 0 0 -2 1 0 1 0 1 -1 0 0 0 0 -1] [-1 -1 0 0 1 4 -1 -1 1 1 1 1 0 0 -1 0 -1 -1 -1 1 0 -1] [ 2 1 -2 -1 0 -1 4 -1 1 -1 0 0 1 0 -2 1 1 -1 0 -1 -1 1] [ 0 -1 1 2 1 -1 -1 4 -1 0 -2 1 0 1 1 0 1 1 0 0 0 -1] [ 0 -1 0 0 0 1 1 -1 4 0 -1 0 1 1 -2 2 1 -2 1 0 -1 1] [-2 -2 2 1 0 1 -1 0 0 4 -1 -1 -2 1 1 1 0 1 1 2 1 0] [-1 1 -1 -2 -2 1 0 -2 -1 -1 6 0 0 -2 -1 -3 0 -1 -2 -1 0 1] [ 1 0 -1 1 1 1 0 1 0 -1 0 4 2 1 -2 0 -1 0 -2 -1 -2 -1] [ 1 1 -1 1 0 0 1 0 1 -2 0 2 4 1 -3 0 0 -1 -1 -1 -2 1] [ 0 -1 1 2 1 0 0 1 1 1 -2 1 1 4 -2 2 1 0 1 1 -1 1] [-1 0 1 -1 0 -1 -2 1 -2 1 -1 -2 -3 -2 6 0 -1 2 1 1 3 -2] [ 1 -1 0 0 1 0 1 0 2 1 -3 0 0 2 0 4 0 0 1 1 0 0] [-1 -1 0 0 -1 -1 1 1 1 0 0 -1 0 1 -1 0 4 0 1 0 0 2] [-1 0 0 0 0 -1 -1 1 -2 1 -1 0 -1 0 2 0 0 4 0 1 1 0] [-1 -1 2 1 0 -1 0 0 1 1 -2 -2 -1 1 1 1 1 0 4 1 1 1] [-2 -2 2 1 0 1 -1 0 0 2 -1 -1 -1 1 1 1 0 1 1 4 2 0] [-1 -1 1 -1 0 0 -1 0 -1 1 0 -2 -2 -1 3 0 0 1 1 2 4 -1] [-1 0 0 0 -1 -1 1 -1 1 0 1 -1 1 1 -2 0 2 0 1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 220. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 2 2 -2 1 -1 1 -1 1 -1 1 1 1 2 1 -1 -1 0 2] [ 1 4 2 2 2 -1 -2 -1 1 -1 0 -1 0 -1 0 -1 0 0 -1 0 -1 0] [ 2 2 4 0 2 0 -1 -1 1 -1 0 0 -1 0 1 1 1 0 0 0 -1 1] [ 1 2 0 4 0 -1 -2 -1 -1 0 -1 0 1 0 -1 -2 -1 1 0 -1 0 1] [ 2 2 2 0 4 1 -1 1 1 0 0 -1 0 -1 0 1 2 0 -1 0 -1 0] [ 2 -1 0 -1 1 4 -1 1 0 2 0 0 0 0 0 1 1 0 0 0 0 0] [-2 -2 -1 -2 -1 -1 6 -1 2 0 1 1 1 1 -1 2 -1 -1 1 1 -1 0] [ 1 -1 -1 -1 1 1 -1 6 -2 1 -2 -1 -1 -1 1 1 2 2 -1 -2 0 -1] [-1 1 1 -1 1 0 2 -2 6 -1 0 -1 0 -1 0 1 0 0 0 0 0 -1] [ 1 -1 -1 0 0 2 0 1 -1 4 -1 0 1 0 -1 0 1 1 1 -1 0 0] [-1 0 0 -1 0 0 1 -2 0 -1 4 0 1 1 0 0 -1 -2 0 2 -1 0] [ 1 -1 0 0 -1 0 1 -1 -1 0 0 4 -1 2 0 1 0 -1 -1 0 1 2] [-1 0 -1 1 0 0 1 -1 0 1 1 -1 4 -1 -1 -1 -1 -1 2 1 -1 0] [ 1 -1 0 0 -1 0 1 -1 -1 0 1 2 -1 4 0 1 0 0 -1 0 1 2] [ 1 0 1 -1 0 0 -1 1 0 -1 0 0 -1 0 4 0 1 0 0 0 0 1] [ 1 -1 1 -2 1 1 2 1 1 0 0 1 -1 1 0 4 2 0 -1 0 0 1] [ 2 0 1 -1 2 1 -1 2 0 1 -1 0 -1 0 1 2 4 1 -1 -1 1 1] [ 1 0 0 1 0 0 -1 2 0 1 -2 -1 -1 0 0 0 1 4 0 -2 1 0] [-1 -1 0 0 -1 0 1 -1 0 1 0 -1 2 -1 0 -1 -1 0 4 0 -1 0] [-1 0 0 -1 0 0 1 -2 0 -1 2 0 1 0 0 0 -1 -2 0 4 0 0] [ 0 -1 -1 0 -1 0 -1 0 0 0 -1 1 -1 1 0 0 1 1 -1 0 4 0] [ 2 0 1 1 0 0 0 -1 -1 0 0 2 0 2 1 1 1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 221. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 0 2 -1 1 0 1 0 2 1 2 -2 -1 -2 1 0 1 2 1] [ 0 4 2 2 0 0 -2 -2 -2 2 1 1 2 2 0 0 0 -1 1 2 0 0] [ 1 2 4 0 0 0 -2 -1 -1 2 1 1 2 2 -1 1 -1 0 0 2 1 -1] [-1 2 0 4 -1 -1 -1 0 -2 0 0 1 0 0 0 -1 0 0 0 0 0 0] [ 0 0 0 -1 4 0 1 0 2 1 -1 -1 1 -1 0 0 0 -1 2 1 0 0] [ 2 0 0 -1 0 4 1 -1 1 0 1 1 0 2 -1 0 -1 0 -1 0 1 2] [-1 -2 -2 -1 1 1 4 0 2 -1 -1 -1 -1 -2 1 1 1 -1 0 -1 -1 0] [ 1 -2 -1 0 0 -1 0 4 1 -1 -2 1 -1 -2 0 -1 0 1 0 -1 0 0] [ 0 -2 -1 -2 2 1 2 1 4 -1 -1 -1 -1 -2 0 1 0 -1 0 -1 0 1] [ 1 2 2 0 1 0 -1 -1 -1 4 1 0 2 2 -1 0 0 0 1 2 0 -1] [ 0 1 1 0 -1 1 -1 -2 -1 1 4 0 0 2 0 0 -1 0 -1 0 1 1] [ 2 1 1 1 -1 1 -1 1 -1 0 0 4 0 1 -1 0 -1 1 -1 0 1 1] [ 1 2 2 0 1 0 -1 -1 -1 2 0 0 4 2 0 0 -1 0 1 2 0 -1] [ 2 2 2 0 -1 2 -2 -2 -2 2 2 1 2 6 -1 0 -1 2 -1 2 1 0] [-2 0 -1 0 0 -1 1 0 0 -1 0 -1 0 -1 4 0 2 -1 0 0 -2 -1] [-1 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 4 0 0 0 0 0 0] [-2 0 -1 0 0 -1 1 0 0 0 -1 -1 -1 -1 2 0 4 -1 0 0 -2 -1] [ 1 -1 0 0 -1 0 -1 1 -1 0 0 1 0 2 -1 0 -1 4 -1 0 1 0] [ 0 1 0 0 2 -1 0 0 0 1 -1 -1 1 -1 0 0 0 -1 4 1 0 0] [ 1 2 2 0 1 0 -1 -1 -1 2 0 0 2 2 0 0 0 0 1 4 1 -1] [ 2 0 1 0 0 1 -1 0 0 0 1 1 0 1 -2 0 -2 1 0 1 4 1] [ 1 0 -1 0 0 2 0 0 1 -1 1 1 -1 0 -1 0 -1 0 0 -1 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 222. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 1 1 0 -1 1 1 0 0 -1 0 -1 -1 2 1 1 -1 -1 1] [-1 4 1 -1 0 0 1 -1 1 1 -1 1 2 -1 -1 2 -1 -1 1 1 -1 1] [ 1 1 4 0 2 -1 1 0 2 2 1 0 2 0 0 0 0 -1 0 1 -1 1] [ 2 -1 0 4 -1 1 -1 0 0 1 1 -1 0 1 -1 -1 0 2 1 -2 -1 0] [ 1 0 2 -1 4 0 1 -1 1 0 -1 1 1 -1 0 0 1 -2 -1 2 0 1] [ 1 0 -1 1 0 4 -1 0 -1 -1 0 1 1 -1 0 0 2 2 2 -2 -1 1] [ 0 1 1 -1 1 -1 4 1 2 1 0 0 1 0 -1 0 -1 -2 -1 2 0 0] [-1 -1 0 0 -1 0 1 4 0 0 2 0 1 0 1 0 -1 0 0 0 1 0] [ 1 1 2 0 1 -1 2 0 4 1 0 -1 0 1 0 1 0 -2 0 2 -1 0] [ 1 1 2 1 0 -1 1 0 1 4 1 0 0 1 -1 0 -1 1 0 -1 -1 0] [ 0 -1 1 1 -1 0 0 2 0 1 4 0 1 0 1 0 0 2 1 -2 -1 -1] [ 0 1 0 -1 1 1 0 0 -1 0 0 4 0 -1 -1 0 1 1 0 -1 -1 0] [-1 2 2 0 1 1 1 1 0 0 1 0 6 -2 0 1 -1 -1 1 1 0 2] [ 0 -1 0 1 -1 -1 0 0 1 1 0 -1 -2 4 0 -1 -1 1 -1 -1 0 -2] [-1 -1 0 -1 0 0 -1 1 0 -1 1 -1 0 0 4 1 0 -1 0 0 1 0] [-1 2 0 -1 0 0 0 0 1 0 0 0 1 -1 1 4 0 -1 1 1 0 1] [ 2 -1 0 0 1 2 -1 -1 0 -1 0 1 -1 -1 0 0 4 1 1 -1 -1 1] [ 1 -1 -1 2 -2 2 -2 0 -2 1 2 1 -1 1 -1 -1 1 6 2 -4 -1 -1] [ 1 1 0 1 -1 2 -1 0 0 0 1 0 1 -1 0 1 1 2 4 -2 -1 1] [-1 1 1 -2 2 -2 2 0 2 -1 -2 -1 1 -1 0 1 -1 -4 -2 6 2 1] [-1 -1 -1 -1 0 -1 0 1 -1 -1 -1 -1 0 0 1 0 -1 -1 -1 2 4 0] [ 1 1 1 0 1 1 0 0 0 0 -1 0 2 -2 0 1 1 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 223. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -2 -2 1 -2 2 -2 0 0 0 -1 -1 -1 0 -1 0 0 0] [ 1 4 -1 -2 0 -1 0 0 -1 2 -1 0 0 -1 1 -2 -2 0 1 0 0 0] [ 2 -1 4 -1 0 -2 -2 1 0 1 -1 0 0 1 -1 0 -1 0 0 0 0 1] [-2 -2 -1 6 -2 3 1 -2 2 0 2 -2 1 -1 -1 0 1 -2 -2 2 -1 0] [ 1 0 0 -2 4 -2 -1 2 -2 -1 0 0 -1 1 1 1 1 1 0 -1 1 0] [-2 -1 -2 3 -2 6 1 -2 1 0 1 1 -1 -2 0 -1 2 0 -2 0 1 -2] [-2 0 -2 1 -1 1 4 -2 2 0 2 0 0 -1 1 0 0 -1 1 1 0 0] [ 1 0 1 -2 2 -2 -2 4 -1 0 -1 0 0 2 1 0 0 2 1 -2 0 0] [-2 -1 0 2 -2 1 2 -1 4 0 1 0 0 0 0 0 0 -1 1 1 0 1] [ 2 2 1 0 -1 0 0 0 0 6 -1 -1 -1 -2 1 -2 -1 -1 0 1 1 1] [-2 -1 -1 2 0 1 2 -1 1 -1 4 -1 1 -1 1 1 1 -1 0 1 -1 -1] [ 0 0 0 -2 0 1 0 0 0 -1 -1 4 -2 1 0 0 0 2 0 -2 1 -1] [ 0 0 0 1 -1 -1 0 0 0 -1 1 -2 4 0 -1 0 -1 -1 0 1 -2 0] [ 0 -1 1 -1 1 -2 -1 2 0 -2 -1 1 0 4 0 1 -1 2 1 -2 0 0] [-1 1 -1 -1 1 0 1 1 0 1 1 0 -1 0 4 0 0 0 1 -1 1 0] [-1 -2 0 0 1 -1 0 0 0 -2 1 0 0 1 0 4 2 0 0 0 0 1] [-1 -2 -1 1 1 2 0 0 0 -1 1 0 -1 -1 0 2 4 0 -1 0 1 0] [ 0 0 0 -2 1 0 -1 2 -1 -1 -1 2 -1 2 0 0 0 4 1 -2 1 -1] [-1 1 0 -2 0 -2 1 1 1 0 0 0 0 1 1 0 -1 1 4 -1 0 1] [ 0 0 0 2 -1 0 1 -2 1 1 1 -2 1 -2 -1 0 0 -2 -1 4 0 1] [ 0 0 0 -1 1 1 0 0 0 1 -1 1 -2 0 1 0 1 1 0 0 4 0] [ 0 0 1 0 0 -2 0 0 1 1 -1 -1 0 0 0 1 0 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 224. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 0 -2 0 1 -2 1 1 2 1 -1 -1 1 0 -2 -1 2 0 0] [-2 4 -2 1 0 1 0 1 0 1 -1 -2 -1 2 1 0 1 0 0 -2 -1 0] [ 2 -2 4 0 -1 -1 1 -1 0 0 0 2 1 -1 -1 0 -1 -1 -1 2 0 1] [ 1 1 0 4 1 -1 0 2 0 2 -1 0 -1 1 0 2 -1 -2 -2 0 0 1] [ 0 0 -1 1 4 -1 1 1 -1 -1 0 -1 0 -1 -1 1 0 0 0 -1 1 0] [-2 1 -1 -1 -1 4 1 0 2 1 -1 -1 -1 0 2 0 -1 1 1 -1 1 1] [ 0 0 1 0 1 1 4 -1 0 0 0 0 -1 -1 1 0 -1 0 -1 0 0 0] [ 1 1 -1 2 1 0 -1 4 -1 1 -1 -1 0 1 0 2 0 -1 0 -1 1 0] [-2 0 0 0 -1 2 0 -1 6 -1 0 0 0 0 1 1 -3 1 1 0 1 2] [ 1 1 0 2 -1 1 0 1 -1 6 -1 0 -2 0 2 2 0 -1 -2 0 0 1] [ 1 -1 0 -1 0 -1 0 -1 0 -1 4 0 1 -1 -1 0 1 1 1 0 -1 0] [ 2 -2 2 0 -1 -1 0 -1 0 0 0 4 1 0 0 0 -1 -1 -1 2 0 0] [ 1 -1 1 -1 0 -1 -1 0 0 -2 1 1 4 -1 -1 -1 1 -1 2 1 1 0] [-1 2 -1 1 -1 0 -1 1 0 0 -1 0 -1 4 0 0 0 0 -1 -1 -1 0] [-1 1 -1 0 -1 2 1 0 1 2 -1 0 -1 0 4 1 -1 0 0 0 1 -1] [ 1 0 0 2 1 0 0 2 1 2 0 0 -1 0 1 4 -2 0 -1 0 1 1] [ 0 1 -1 -1 0 -1 -1 0 -3 0 1 -1 1 0 -1 -2 4 0 1 -1 -1 -1] [-2 0 -1 -2 0 1 0 -1 1 -1 1 -1 -1 0 0 0 0 4 1 -1 0 0] [-1 0 -1 -2 0 1 -1 0 1 -2 1 -1 2 -1 0 -1 1 1 4 -1 1 0] [ 2 -2 2 0 -1 -1 0 -1 0 0 0 2 1 -1 0 0 -1 -1 -1 4 1 0] [ 0 -1 0 0 1 1 0 1 1 0 -1 0 1 -1 1 1 -1 0 1 1 4 0] [ 0 0 1 1 0 1 0 0 2 1 0 0 0 0 -1 1 -1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 225. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 -1 0 2 -1 -2 1 -1 -1 1 1 1 -1 -2 1 1 1 2] [ 1 4 0 -2 -1 -1 -1 0 -2 -2 0 0 1 2 1 -1 1 1 -1 -1 0 1] [-1 0 4 -1 -1 -1 -1 0 1 -1 0 -1 -1 0 1 -2 0 2 -2 1 0 0] [-1 -2 -1 4 2 1 1 0 0 2 0 1 -1 -2 -1 2 1 0 1 -1 1 0] [-2 -1 -1 2 4 2 1 -2 0 2 0 2 0 -2 -1 1 1 0 1 -2 0 -1] [-1 -1 -1 1 2 4 2 -1 1 0 -1 1 0 -2 0 2 0 -1 1 -1 0 0] [ 0 -1 -1 1 1 2 4 1 1 1 1 0 -1 -2 0 1 0 0 1 1 0 1] [ 2 0 0 0 -2 -1 1 4 0 -1 1 -2 -2 0 0 1 0 -1 0 1 0 2] [-1 -2 1 0 0 1 1 0 4 0 -1 -1 -1 0 1 -1 0 0 1 2 -1 0] [-2 -2 -1 2 2 0 1 -1 0 6 1 2 1 -1 -1 1 -1 2 1 1 -1 -2] [ 1 0 0 0 0 -1 1 1 -1 1 4 -1 -1 -1 -1 1 -1 1 0 0 1 1] [-1 0 -1 1 2 1 0 -2 -1 2 -1 4 2 0 0 1 0 0 0 0 0 -2] [-1 1 -1 -1 0 0 -1 -2 -1 1 -1 2 4 1 0 0 0 1 -1 0 -1 -2] [ 1 2 0 -2 -2 -2 -2 0 0 -1 -1 0 1 4 1 -2 0 0 0 1 -1 0] [ 1 1 1 -1 -1 0 0 0 1 -1 -1 0 0 1 4 0 0 0 0 2 -1 1] [ 1 -1 -2 2 1 2 1 1 -1 1 1 1 0 -2 0 6 -1 -1 1 -1 0 1] [-1 1 0 1 1 0 0 0 0 -1 -1 0 0 0 0 -1 4 0 -1 -2 0 0] [-2 1 2 0 0 -1 0 -1 0 2 1 0 1 0 0 -1 0 6 -1 1 0 0] [ 1 -1 -2 1 1 1 1 0 1 1 0 0 -1 0 0 1 -1 -1 4 0 0 1] [ 1 -1 1 -1 -2 -1 1 1 2 1 0 0 0 1 2 -1 -2 1 0 6 0 0] [ 1 0 0 1 0 0 0 0 -1 -1 1 0 -1 -1 -1 0 0 0 0 0 4 0] [ 2 1 0 0 -1 0 1 2 0 -2 1 -2 -2 0 1 1 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 226. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 2 -1 1 1 1 0 2 2 -2 0 0 -1 1 -2 -2 0 1 0] [ 1 4 -2 0 0 -2 0 2 0 -1 1 1 -2 0 0 1 1 -1 0 0 1 -1] [-1 -2 4 0 0 2 0 0 -1 0 0 -2 1 -1 -1 0 -1 0 0 1 0 1] [-2 0 0 4 -2 -1 -1 -1 0 -1 -1 -2 2 0 -1 2 -1 2 1 0 -1 1] [ 2 0 0 -2 4 -1 2 1 -1 1 2 0 0 1 0 0 0 -2 -2 1 0 0] [-1 -2 2 -1 -1 6 -2 -2 1 -1 0 -1 -1 0 2 -2 1 1 1 1 1 1] [ 1 0 0 -1 2 -2 4 2 -2 2 1 0 0 -1 0 0 0 -1 -1 -1 0 0] [ 1 2 0 -1 1 -2 2 4 -2 0 1 0 -1 -1 0 0 0 -2 -1 0 0 0] [ 1 0 -1 0 -1 1 -2 -2 4 0 -1 2 -1 0 0 -1 0 1 1 0 1 -1] [ 0 -1 0 -1 1 -1 2 0 0 4 -1 0 1 0 0 0 -1 0 0 -1 0 -1] [ 2 1 0 -1 2 0 1 1 -1 -1 4 0 -1 1 0 0 1 -2 -2 0 0 1] [ 2 1 -2 -2 0 -1 0 0 2 0 0 6 -1 0 0 -2 2 0 1 -2 0 -1] [-2 -2 1 2 0 -1 0 -1 -1 1 -1 -1 6 0 -2 1 -2 2 0 0 -3 0] [ 0 0 -1 0 1 0 -1 -1 0 0 1 0 0 4 0 1 0 -1 0 0 -1 1] [ 0 0 -1 -1 0 2 0 0 0 0 0 0 -2 0 4 -2 1 0 0 0 1 1] [-1 1 0 2 0 -2 0 0 -1 0 0 -2 1 1 -2 4 -1 0 0 0 0 0] [ 1 1 -1 -1 0 1 0 0 0 -1 1 2 -2 0 1 -1 4 0 0 -1 1 0] [-2 -1 0 2 -2 1 -1 -2 1 0 -2 0 2 -1 0 0 0 4 2 0 0 0] [-2 0 0 1 -2 1 -1 -1 1 0 -2 1 0 0 0 0 0 2 4 -1 0 0] [ 0 0 1 0 1 1 -1 0 0 -1 0 -2 0 0 0 0 -1 0 -1 4 1 0] [ 1 1 0 -1 0 1 0 0 1 0 0 0 -3 -1 1 0 1 0 0 1 4 -1] [ 0 -1 1 1 0 1 0 0 -1 -1 1 -1 0 1 1 0 0 0 0 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 227. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 -1 -1 1 -1 1 -2 1 1 2 1 -2 1 2 -1 -2 1 0 1] [ 1 4 1 -1 -1 1 1 1 1 -2 2 2 1 2 -1 1 -1 -2 0 2 0 2] [ 2 1 4 1 0 1 2 1 2 -1 1 1 0 1 0 2 0 -1 -2 1 -1 1] [ 2 -1 1 6 1 -2 2 -2 -1 0 0 1 0 1 0 0 3 0 -1 0 -1 0] [-1 -1 0 1 4 0 0 1 -1 2 0 0 -1 0 1 1 0 0 0 0 0 0] [-1 1 1 -2 0 4 0 2 2 -1 1 1 -1 1 1 1 -1 -1 0 1 -1 1] [ 1 1 2 2 0 0 4 -1 0 -1 1 1 -1 1 1 0 0 -1 0 1 0 1] [-1 1 1 -2 1 2 -1 4 1 0 1 1 0 1 0 1 -2 -1 0 1 -1 1] [ 1 1 2 -1 -1 2 0 1 4 -2 1 1 0 1 0 2 0 -1 -1 1 0 1] [-2 -2 -1 0 2 -1 -1 0 -2 6 -3 -1 -1 -1 1 -1 -1 3 0 -3 1 0] [ 1 2 1 0 0 1 1 1 1 -3 4 1 1 2 0 1 0 -2 0 2 -1 1] [ 1 2 1 1 0 1 1 1 1 -1 1 4 0 2 -1 1 0 -2 -1 1 0 2] [ 2 1 0 0 -1 -1 -1 0 0 -1 1 0 4 0 -1 0 1 -1 0 1 0 1] [ 1 2 1 1 0 1 1 1 1 -1 2 2 0 4 -1 1 0 -1 -1 1 0 2] [-2 -1 0 0 1 1 1 0 0 1 0 -1 -1 -1 4 -1 -1 0 2 0 -1 0] [ 1 1 2 0 1 1 0 1 2 -1 1 1 0 1 -1 4 1 -1 -2 1 0 1] [ 2 -1 0 3 0 -1 0 -2 0 -1 0 0 1 0 -1 1 4 0 -1 0 0 0] [-1 -2 -1 0 0 -1 -1 -1 -1 3 -2 -2 -1 -1 0 -1 0 4 0 -2 1 -1] [-2 0 -2 -1 0 0 0 0 -1 0 0 -1 0 -1 2 -2 -1 0 4 0 0 0] [ 1 2 1 0 0 1 1 1 1 -3 2 1 1 1 0 1 0 -2 0 4 0 1] [ 0 0 -1 -1 0 -1 0 -1 0 1 -1 0 0 0 -1 0 0 1 0 0 4 0] [ 1 2 1 0 0 1 1 1 1 0 1 2 1 2 0 1 0 -1 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 228. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -1 0 -1 -2 2 2 2 -1 -1 -1 1 0 0 1 2 -2 0 0 0] [ 0 6 -3 -1 2 0 -2 0 3 0 0 1 1 2 1 0 1 -1 2 -2 -2 -3] [-1 -3 6 0 -1 2 0 1 -4 1 2 -2 -2 0 -1 -1 0 0 0 1 2 2] [-1 -1 0 4 -1 -1 1 0 0 0 1 2 2 0 0 -1 -2 0 1 1 0 0] [ 0 2 -1 -1 4 1 0 0 1 0 -1 0 0 0 1 -1 1 1 -1 -2 -1 0] [-1 0 2 -1 1 6 -2 -1 -1 -1 -1 -1 -1 1 -2 -2 -1 -1 2 1 -1 1] [-2 -2 0 1 0 -2 6 -2 -1 -2 1 0 0 -1 1 1 1 -1 -1 -1 2 0] [ 2 0 1 0 0 -1 -2 4 1 2 0 0 -1 1 1 0 0 2 -1 0 0 0] [ 2 3 -4 0 1 -1 -1 1 6 0 -2 2 0 2 0 1 0 1 1 -1 -2 -2] [ 2 0 1 0 0 -1 -2 2 0 4 0 -1 0 1 0 0 0 2 -2 0 0 0] [-1 0 2 1 -1 -1 1 0 -2 0 4 0 0 0 0 0 1 -1 1 0 1 0] [-1 1 -2 2 0 -1 0 0 2 -1 0 4 2 0 0 0 -1 0 2 0 -1 -1] [-1 1 -2 2 0 -1 0 -1 0 0 0 2 4 0 1 0 -1 0 0 0 -1 -1] [ 1 2 0 0 0 1 -1 1 2 1 0 0 0 4 0 0 0 0 1 0 0 -2] [ 0 1 -1 0 1 -2 1 1 0 0 0 0 1 0 4 0 1 1 -1 -2 0 -1] [ 0 0 -1 -1 -1 -2 1 0 1 0 0 0 0 0 0 4 1 0 -1 0 0 0] [ 1 1 0 -2 1 -1 1 0 0 0 1 -1 -1 0 1 1 4 0 -1 -2 1 0] [ 2 -1 0 0 1 -1 -1 2 1 2 -1 0 0 0 1 0 0 4 -2 0 0 1] [-2 2 0 1 -1 2 -1 -1 1 -2 1 2 0 1 -1 -1 -1 -2 6 0 -1 -1] [ 0 -2 1 1 -2 1 -1 0 -1 0 0 0 0 0 -2 0 -2 0 0 4 1 1] [ 0 -2 2 0 -1 -1 2 0 -2 0 1 -1 -1 0 0 0 1 0 -1 1 4 0] [ 0 -3 2 0 0 1 0 0 -2 0 0 -1 -1 -2 -1 0 0 1 -1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 229. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 0 0 1 -1 2 -1 0 2 0 2 0 -1 -2 0 2 1 1] [ 2 4 2 0 1 1 -1 -1 0 2 0 -1 1 -1 1 0 1 -2 -1 2 -1 2] [ 2 2 4 1 1 -1 1 -1 0 2 1 0 1 0 1 0 0 -2 0 2 0 1] [ 1 0 1 4 -1 0 2 1 1 1 -1 2 0 2 1 -1 1 -1 2 1 2 -1] [ 0 1 1 -1 4 -1 0 0 0 1 1 0 1 0 -1 -1 -1 -1 0 1 -2 1] [ 0 1 -1 0 -1 4 -1 -1 -1 0 -2 0 0 0 0 -1 1 0 -1 0 -1 1] [ 0 -1 1 2 0 -1 4 0 0 0 -1 2 0 2 0 0 1 0 2 0 2 -2] [ 1 -1 -1 1 0 -1 0 4 0 0 -1 1 0 1 1 0 -1 0 1 0 2 0] [-1 0 0 1 0 -1 0 0 4 -1 0 0 -1 0 0 -1 0 1 1 -1 -1 0] [ 2 2 2 1 1 0 0 0 -1 4 1 0 2 1 1 0 0 -2 0 2 0 1] [-1 0 1 -1 1 -2 -1 -1 0 1 6 0 1 0 -2 2 -1 -1 0 1 0 0] [ 0 -1 0 2 0 0 2 1 0 0 0 4 0 2 -1 0 0 -1 1 0 2 -1] [ 2 1 1 0 1 0 0 0 -1 2 1 0 4 0 1 0 -1 -2 1 2 0 1] [ 0 -1 0 2 0 0 2 1 0 1 0 2 0 4 -1 0 0 0 1 0 2 -1] [ 2 1 1 1 -1 0 0 1 0 1 -2 -1 1 -1 4 -1 0 -1 1 1 0 1] [ 0 0 0 -1 -1 -1 0 0 -1 0 2 0 0 0 -1 4 1 0 -1 0 2 0] [-1 1 0 1 -1 1 1 -1 0 0 -1 0 -1 0 0 1 4 0 0 0 1 0] [-2 -2 -2 -1 -1 0 0 0 1 -2 -1 -1 -2 0 -1 0 0 4 0 -2 0 -1] [ 0 -1 0 2 0 -1 2 1 1 0 0 1 1 1 1 -1 0 0 4 0 1 -1] [ 2 2 2 1 1 0 0 0 -1 2 1 0 2 0 1 0 0 -2 0 4 1 1] [ 1 -1 0 2 -2 -1 2 2 -1 0 0 2 0 2 0 2 1 0 1 1 6 -2] [ 1 2 1 -1 1 1 -2 0 0 1 0 -1 1 -1 1 0 0 -1 -1 1 -2 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 230. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 1 1 0 1 1 1 2 1 -1 -1 0 2 1 1 -2 0] [ 1 4 0 -2 2 0 0 2 1 0 1 0 0 1 -1 -1 1 2 -1 0 -2 -1] [-1 0 4 -1 -1 0 0 1 1 0 -1 -1 -2 -1 -1 -1 -1 -1 -2 0 1 0] [-1 -2 -1 4 0 -1 0 -2 -1 0 -1 1 1 -1 1 2 -1 0 1 0 0 1] [ 2 2 -1 0 4 1 1 0 1 0 1 0 2 0 -1 0 1 3 1 0 -3 -1] [ 1 0 0 -1 1 4 -1 0 -1 -1 1 0 -1 1 -1 0 2 1 0 -1 -1 -2] [ 1 0 0 0 1 -1 4 1 0 2 0 0 2 0 1 0 -2 1 0 2 -1 0] [ 1 2 1 -2 0 0 1 4 0 1 0 0 -1 1 -1 -1 -1 1 -2 1 -1 0] [ 0 1 1 -1 1 -1 0 0 4 0 0 -1 0 0 -1 0 0 1 0 0 -1 1] [ 1 0 0 0 0 -1 2 1 0 4 1 0 2 1 1 0 -2 1 0 2 -1 0] [ 1 1 -1 -1 1 1 0 0 0 1 4 -1 0 2 1 1 1 0 0 -1 0 -1] [ 1 0 -1 1 0 0 0 0 -1 0 -1 4 1 0 -1 -1 0 2 0 0 -1 1] [ 2 0 -2 1 2 -1 2 -1 0 2 0 1 6 -1 1 -1 0 1 3 2 -1 0] [ 1 1 -1 -1 0 1 0 1 0 1 2 0 -1 4 0 1 0 1 -1 0 -1 0] [-1 -1 -1 1 -1 -1 1 -1 -1 1 1 -1 1 0 4 2 -1 -2 1 1 2 -1] [-1 -1 -1 2 0 0 0 -1 0 0 1 -1 -1 1 2 4 -1 0 0 0 0 0] [ 0 1 -1 -1 1 2 -2 -1 0 -2 1 0 0 0 -1 -1 4 0 1 -2 0 -1] [ 2 2 -1 0 3 1 1 1 1 1 0 2 1 1 -2 0 0 6 0 1 -4 0] [ 1 -1 -2 1 1 0 0 -2 0 0 0 0 3 -1 1 0 1 0 4 0 0 0] [ 1 0 0 0 0 -1 2 1 0 2 -1 0 2 0 1 0 -2 1 0 4 0 0] [-2 -2 1 0 -3 -1 -1 -1 -1 -1 0 -1 -1 -1 2 0 0 -4 0 0 6 0] [ 0 -1 0 1 -1 -2 0 0 1 0 -1 1 0 0 -1 0 -1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 231. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 1 -2 2 1 2 1 1 1 0 -2 1 -1 1 0 -1 -2 1 0 0] [-1 4 -1 -2 2 0 -2 -1 -2 0 -1 -1 2 1 -1 -1 1 1 0 -1 -1 1] [ 0 -1 4 -1 0 0 2 1 1 0 1 1 1 0 1 -1 -2 1 0 -1 2 1] [ 1 -2 -1 4 -2 1 0 0 2 1 1 -1 -2 -1 1 2 0 -2 -1 2 0 0] [-2 2 0 -2 4 -2 -1 -2 -1 0 -1 0 2 1 0 -1 0 1 2 -1 0 0] [ 2 0 0 1 -2 4 1 2 0 1 0 -1 -2 0 0 0 0 0 -2 0 0 0] [ 1 -2 2 0 -1 1 4 2 0 1 0 0 -1 0 0 -1 -1 1 0 -1 1 -1] [ 2 -1 1 0 -2 2 2 4 0 0 1 1 -2 1 -1 0 0 0 -2 0 0 -1] [ 1 -2 1 2 -1 0 0 0 4 0 2 1 0 0 1 2 -1 -2 0 2 1 0] [ 1 0 0 1 0 1 1 0 0 4 1 -2 0 0 -1 0 -1 -1 -1 0 1 0] [ 1 -1 1 1 -1 0 0 1 2 1 4 1 0 0 0 1 0 -2 -1 1 0 1] [ 0 -1 1 -1 0 -1 0 1 1 -2 1 4 0 1 1 0 0 0 0 0 0 -1] [-2 2 1 -2 2 -2 -1 -2 0 0 0 0 6 -1 -1 0 -1 0 1 0 1 1] [ 1 1 0 -1 1 0 0 1 0 0 0 1 -1 4 -1 -1 1 1 0 -1 -1 -1] [-1 -1 1 1 0 0 0 -1 1 -1 0 1 -1 -1 4 0 -1 0 1 0 1 1] [ 1 -1 -1 2 -1 0 -1 0 2 0 1 0 0 -1 0 4 -1 -2 -1 2 0 0] [ 0 1 -2 0 0 0 -1 0 -1 -1 0 0 -1 1 -1 -1 4 0 0 0 -2 0] [-1 1 1 -2 1 0 1 0 -2 -1 -2 0 0 1 0 -2 0 4 1 -2 0 0] [-2 0 0 -1 2 -2 0 -2 0 -1 -1 0 1 0 1 -1 0 1 4 -1 0 0] [ 1 -1 -1 2 -1 0 -1 0 2 0 1 0 0 -1 0 2 0 -2 -1 4 1 0] [ 0 -1 2 0 0 0 1 0 1 1 0 0 1 -1 1 0 -2 0 0 1 4 0] [ 0 1 1 0 0 0 -1 -1 0 0 1 -1 1 -1 1 0 0 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 232. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 2 -2 -1 2 1 -1 -2 -1 1 -1 1 1 1 2 -1 2 1 1 2] [ 1 4 2 1 0 0 1 0 0 0 -1 0 1 2 0 1 1 0 -1 0 -1 1] [ 1 2 4 2 0 -1 1 -1 -1 -1 -2 0 0 2 -1 2 1 0 1 0 -1 1] [ 2 1 2 4 0 -2 2 1 -2 -2 -1 0 0 1 1 1 2 0 2 0 1 2] [-2 0 0 0 4 -1 -1 0 0 1 1 -1 0 -1 -1 -1 0 0 -1 -1 0 0] [-1 0 -1 -2 -1 4 0 0 1 0 0 0 0 0 0 -1 -2 0 -2 0 -2 -2] [ 2 1 1 2 -1 0 4 0 0 -1 -1 1 -1 0 2 1 1 -1 2 1 0 1] [ 1 0 -1 1 0 0 0 4 0 -2 0 -1 0 1 1 0 1 1 1 -1 2 0] [-1 0 -1 -2 0 1 0 0 4 0 0 -1 1 0 0 1 -1 1 -1 -1 -1 -1] [-2 0 -1 -2 1 0 -1 -2 0 6 0 2 -1 -2 0 -1 -1 -2 0 2 1 0] [-1 -1 -2 -1 1 0 -1 0 0 0 4 -1 0 -2 0 -2 0 1 -1 -1 -1 0] [ 1 0 0 0 -1 0 1 -1 -1 2 -1 4 -2 -1 1 0 1 -2 1 2 1 1] [-1 1 0 0 0 0 -1 0 1 -1 0 -2 4 2 0 1 -1 2 -2 -2 -1 -1] [ 1 2 2 1 -1 0 0 1 0 -2 -2 -1 2 4 0 2 0 1 0 -1 0 0] [ 1 0 -1 1 -1 0 2 1 0 0 0 1 0 0 4 1 0 -1 2 1 2 1] [ 1 1 2 1 -1 -1 1 0 1 -1 -2 0 1 2 1 4 0 0 2 0 1 1] [ 2 1 1 2 0 -2 1 1 -1 -1 0 1 -1 0 0 0 4 0 1 0 1 2] [-1 0 0 0 0 0 -1 1 1 -2 1 -2 2 1 -1 0 0 4 -1 -2 -1 -1] [ 2 -1 1 2 -1 -2 2 1 -1 0 -1 1 -2 0 2 2 1 -1 6 1 3 2] [ 1 0 0 0 -1 0 1 -1 -1 2 -1 2 -2 -1 1 0 0 -2 1 4 2 1] [ 1 -1 -1 1 0 -2 0 2 -1 1 -1 1 -1 0 2 1 1 -1 3 2 6 1] [ 2 1 1 2 0 -2 1 0 -1 0 0 1 -1 0 1 1 2 -1 2 1 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 233. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -2 1 0 -1 1 -2 0 -2 -1 1 -2 -1 -2 0 -1 0 0 -2] [-2 4 -1 1 0 0 1 0 1 2 -1 1 -1 -1 2 0 0 1 0 -1 0 0] [ 0 -1 4 -2 1 -2 0 0 -2 -2 2 0 1 -1 -1 -1 2 -2 0 2 0 1] [ 0 1 -2 4 -1 2 -1 -1 2 0 -2 -1 0 1 1 1 -2 2 -1 -2 1 0] [-2 0 1 -1 4 -2 -1 0 -2 0 1 2 0 -1 0 1 3 -1 2 1 0 2] [ 1 0 -2 2 -2 4 -1 0 1 0 -2 -1 0 2 0 1 -3 2 -1 -2 0 -1] [ 0 1 0 -1 -1 -1 4 0 1 2 1 1 -1 -1 0 0 -1 -1 -1 1 0 0] [-1 0 0 -1 0 0 0 4 -2 0 0 1 1 1 1 0 2 0 1 0 1 1] [ 1 1 -2 2 -2 1 1 -2 6 0 -2 -2 -1 0 -1 -1 -3 2 -2 -2 1 -2] [-2 2 -2 0 0 0 2 0 0 6 -1 2 -1 0 1 1 0 1 1 -1 -1 0] [ 0 -1 2 -2 1 -2 1 0 -2 -1 4 1 0 -2 0 0 1 -2 0 2 -1 1] [-2 1 0 -1 2 -1 1 1 -2 2 1 4 -1 0 1 2 1 -1 2 1 -1 2] [-1 -1 1 0 0 0 -1 1 -1 -1 0 -1 4 0 0 0 1 -1 -1 0 1 1] [ 1 -1 -1 1 -1 2 -1 1 0 0 -2 0 0 4 -1 1 -1 1 0 -1 1 0] [-2 2 -1 1 0 0 0 1 -1 1 0 1 0 -1 4 0 0 0 1 0 -1 1] [-1 0 -1 1 1 1 0 0 -1 1 0 2 0 1 0 4 0 0 0 0 0 2] [-2 0 2 -2 3 -3 -1 2 -3 0 1 1 1 -1 0 0 6 -1 2 1 1 2] [ 0 1 -2 2 -1 2 -1 0 2 1 -2 -1 -1 1 0 0 -1 4 0 -2 1 -1] [-1 0 0 -1 2 -1 -1 1 -2 1 0 2 -1 0 1 0 2 0 4 0 -1 1] [ 0 -1 2 -2 1 -2 1 0 -2 -1 2 1 0 -1 0 0 1 -2 0 4 0 1] [ 0 0 0 1 0 0 0 1 1 -1 -1 -1 1 1 -1 0 1 1 -1 0 4 0] [-2 0 1 0 2 -1 0 1 -2 0 1 2 1 0 1 2 2 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 234. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 -1 -1 2 2 1 -1 2 1 0 0 1 -1 1 2 1 -2 2] [ 1 4 0 1 2 -1 -2 1 2 2 -2 2 2 1 -1 1 -1 -1 1 -1 0 1] [-1 0 4 2 0 0 0 0 0 -2 0 0 -1 1 -1 1 -1 0 0 -2 1 -1] [-1 1 2 4 0 -1 -1 0 0 -1 -1 1 -1 0 0 1 0 0 -1 -2 2 0] [ 2 2 0 0 4 0 -2 2 2 2 -1 2 2 0 -1 2 -2 1 2 0 -2 2] [-1 -1 0 -1 0 4 1 0 0 -1 1 -1 1 1 -1 1 -1 0 1 1 1 0] [-1 -2 0 -1 -2 1 4 -2 -1 -2 2 -2 -1 1 1 -1 1 -1 -1 1 0 -1] [ 2 1 0 0 2 0 -2 4 2 0 -2 2 0 -1 0 2 -2 2 2 0 0 2] [ 2 2 0 0 2 0 -1 2 4 0 -2 2 2 0 0 2 -2 1 2 0 0 2] [ 1 2 -2 -1 2 -1 -2 0 0 6 -1 1 1 0 0 -1 -1 0 1 0 -3 1] [-1 -2 0 -1 -1 1 2 -2 -2 -1 4 -2 -1 1 -1 -1 1 -1 -1 1 -1 -1] [ 2 2 0 1 2 -1 -2 2 2 1 -2 4 0 0 -1 1 -1 1 1 -1 -1 1] [ 1 2 -1 -1 2 1 -1 0 2 1 -1 0 6 1 -1 1 0 0 2 0 0 1] [ 0 1 1 0 0 1 1 -1 0 0 1 0 1 4 -1 0 0 -2 1 0 0 0] [ 0 -1 -1 0 -1 -1 1 0 0 0 -1 -1 -1 -1 4 -1 0 0 0 1 0 1] [ 1 1 1 1 2 1 -1 2 2 -1 -1 1 1 0 -1 4 -1 1 1 0 1 2] [-1 -1 -1 0 -2 -1 1 -2 -2 -1 1 -1 0 0 0 -1 4 -1 -2 0 1 -1] [ 1 -1 0 0 1 0 -1 2 1 0 -1 1 0 -2 0 1 -1 4 1 0 0 1] [ 2 1 0 -1 2 1 -1 2 2 1 -1 1 2 1 0 1 -2 1 4 0 -1 2] [ 1 -1 -2 -2 0 1 1 0 0 0 1 -1 0 0 1 0 0 0 0 4 0 1] [-2 0 1 2 -2 1 0 0 0 -3 -1 -1 0 0 0 1 1 0 -1 0 6 -1] [ 2 1 -1 0 2 0 -1 2 2 1 -1 1 1 0 1 2 -1 1 2 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 235. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 2 -1 0 -1 1 1 1 -2 -1 1 1 0 1 -2 1 0 0 -2] [-2 4 -2 -1 -1 0 1 2 0 0 -2 2 1 0 -2 -1 1 2 0 0 1 1] [ 2 -2 4 0 2 0 -1 -1 0 -1 0 -2 0 0 1 1 -1 -2 -1 1 -1 -2] [ 1 -1 0 4 1 -1 1 -1 1 0 2 0 -1 1 1 1 0 1 2 -2 1 1] [ 2 -1 2 1 6 -2 -2 -1 -1 -2 1 -1 1 0 -1 -1 2 -1 1 2 -1 1] [-1 0 0 -1 -2 4 1 -1 1 0 0 0 -1 1 -1 1 -2 0 -2 1 -1 0] [ 0 1 -1 1 -2 1 4 1 2 1 -1 1 0 2 0 0 0 1 0 -2 1 0] [-1 2 -1 -1 -1 -1 1 4 0 0 -1 1 1 -1 0 -1 1 1 0 -1 1 -1] [ 1 0 0 1 -1 1 2 0 4 2 -1 0 0 2 0 0 -1 1 1 0 1 0] [ 1 0 -1 0 -2 0 1 0 2 4 -1 0 0 1 1 -1 0 0 1 0 1 0] [ 1 -2 0 2 1 0 -1 -1 -1 -1 6 0 -2 -1 1 2 0 0 1 0 0 -1] [-2 2 -2 0 -1 0 1 1 0 0 0 4 0 -1 -1 0 0 2 0 -1 0 1] [-1 1 0 -1 1 -1 0 1 0 0 -2 0 4 0 0 -2 1 1 0 2 1 2] [ 1 0 0 1 0 1 2 -1 2 1 -1 -1 0 4 -1 0 0 0 0 0 1 1] [ 1 -2 1 1 -1 -1 0 0 0 1 1 -1 0 -1 4 0 -1 -1 1 -1 0 -1] [ 0 -1 1 1 -1 1 0 -1 0 -1 2 0 -2 0 0 4 -1 0 -1 -1 0 -1] [ 1 1 -1 0 2 -2 0 1 -1 0 0 0 1 0 -1 -1 4 0 1 0 1 1] [-2 2 -2 1 -1 0 1 1 1 0 0 2 1 0 -1 0 0 4 1 0 2 2] [ 1 0 -1 2 1 -2 0 0 1 1 1 0 0 0 1 -1 1 1 4 -1 1 1] [ 0 0 1 -2 2 1 -2 -1 0 0 0 -1 2 0 -1 -1 0 0 -1 6 0 1] [ 0 1 -1 1 -1 -1 1 1 1 1 0 0 1 1 0 0 1 2 1 0 4 0] [-2 1 -2 1 1 0 0 -1 0 0 -1 1 2 1 -1 -1 1 2 1 1 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 236. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 0 1 0 -1 -1 -2 -2 -2 -1 1 1 -1 1 1 -1 -2 -2 -1] [-1 4 -2 -1 1 0 -1 2 2 1 0 1 0 0 1 0 1 1 1 1 1 1] [ 2 -2 6 0 -2 2 2 -3 -3 -2 -1 -1 1 2 -2 1 1 -1 -2 -1 -1 -1] [ 1 -1 0 4 -1 0 1 0 0 0 0 0 -1 0 -1 1 -1 1 -1 0 1 0] [ 0 1 -2 -1 4 -1 -2 1 1 1 0 0 0 0 2 0 0 0 1 0 0 -1] [ 1 0 2 0 -1 4 0 -1 -1 0 -1 -1 -1 2 -1 0 0 1 0 -1 1 0] [ 0 -1 2 1 -2 0 4 -2 -1 0 0 0 1 0 -1 1 1 0 -2 0 1 -1] [-1 2 -3 0 1 -1 -2 4 1 0 0 1 0 0 1 0 -1 1 2 1 1 2] [-1 2 -3 0 1 -1 -1 1 4 2 1 0 0 -2 1 -1 0 1 0 0 1 1] [-2 1 -2 0 1 0 0 0 2 4 2 1 0 -1 0 1 0 0 0 1 2 0] [-2 0 -1 0 0 -1 0 0 1 2 4 2 0 -2 -1 1 0 0 0 0 1 0] [-2 1 -1 0 0 -1 0 1 0 1 2 4 1 -1 0 1 -1 -1 0 2 0 1] [-1 0 1 -1 0 -1 1 0 0 0 0 1 4 0 0 0 -1 -2 0 1 0 1] [ 1 0 2 0 0 2 0 0 -2 -1 -2 -1 0 4 -1 1 0 0 0 0 1 0] [ 1 1 -2 -1 2 -1 -1 1 1 0 -1 0 0 -1 4 -2 0 0 1 0 -2 0] [-1 0 1 1 0 0 1 0 -1 1 1 1 0 1 -2 4 1 0 -1 1 2 0] [ 1 1 1 -1 0 0 1 -1 0 0 0 -1 -1 0 0 1 4 1 -1 -1 0 -1] [ 1 1 -1 1 0 1 0 1 1 0 0 -1 -2 0 0 0 1 4 0 -1 2 0] [-1 1 -2 -1 1 0 -2 2 0 0 0 0 0 0 1 -1 -1 0 4 0 0 1] [-2 1 -1 0 0 -1 0 1 0 1 0 2 1 0 0 1 -1 -1 0 4 1 1] [-2 1 -1 1 0 1 1 1 1 2 1 0 0 1 -2 2 0 2 0 1 6 0] [-1 1 -1 0 -1 0 -1 2 1 0 0 1 1 0 0 0 -1 0 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 237. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -2 1 0 0 1 -2 1 -1 2 -1 -2 -1 1 -1 0 1 0 2] [ 1 4 0 1 -2 0 -1 1 0 0 2 0 2 0 -2 -1 -1 -2 1 2 0 2] [ 2 0 4 -1 -2 0 -1 -1 0 -1 1 -1 0 -1 0 1 2 -1 0 1 -1 2] [ 1 1 -1 4 1 1 0 2 -1 1 1 -1 2 -1 -2 0 -1 -1 1 1 1 -1] [-2 -2 -2 1 6 0 2 1 0 1 0 -1 0 -1 0 1 -2 0 1 0 0 -1] [ 1 0 0 1 0 4 -1 -1 -1 -2 0 1 -1 1 1 1 -1 0 0 0 2 1] [ 0 -1 -1 0 2 -1 4 0 0 -1 0 0 0 0 0 -1 -1 0 1 0 -1 -1] [ 0 1 -1 2 1 -1 0 4 1 1 1 -1 3 -1 -3 -1 -1 -1 1 1 -1 0] [ 1 0 0 -1 0 -1 0 1 4 0 0 0 2 0 -2 -2 0 0 0 0 -1 2] [-2 0 -1 1 1 -2 -1 1 0 6 -1 -1 1 -1 -1 0 1 1 1 -1 0 -2] [ 1 2 1 1 0 0 0 1 0 -1 4 -1 2 0 -1 0 -1 -2 1 2 -1 2] [-1 0 -1 -1 -1 1 0 -1 0 -1 -1 4 -2 2 1 0 -1 0 -1 -1 1 0] [ 2 2 0 2 0 -1 0 3 2 1 2 -2 6 -2 -3 -2 0 -2 2 2 -1 2] [-1 0 -1 -1 -1 1 0 -1 0 -1 0 2 -2 4 1 0 -1 1 -1 -1 1 0] [-2 -2 0 -2 0 1 0 -3 -2 -1 -1 1 -3 1 6 1 0 1 0 -1 0 -1] [-1 -1 1 0 1 1 -1 -1 -2 0 0 0 -2 0 1 4 1 0 -1 0 1 0] [ 1 -1 2 -1 -2 -1 -1 -1 0 1 -1 -1 0 -1 0 1 4 1 -1 -1 0 0] [-1 -2 -1 -1 0 0 0 -1 0 1 -2 0 -2 1 1 0 1 4 -1 -2 1 -2] [ 0 1 0 1 1 0 1 1 0 1 1 -1 2 -1 0 -1 -1 -1 4 1 -1 1] [ 1 2 1 1 0 0 0 1 0 -1 2 -1 2 -1 -1 0 -1 -2 1 4 0 2] [ 0 0 -1 1 0 2 -1 -1 -1 0 -1 1 -1 1 0 1 0 1 -1 0 4 -1] [ 2 2 2 -1 -1 1 -1 0 2 -2 2 0 2 0 -1 0 0 -2 1 2 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 238. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 0 -2 -1 2 -2 1 1 2 0 0 1 -1 -1 1 0 0 -2 -1] [ 0 4 -2 0 1 1 -1 -1 1 2 2 -2 0 0 0 2 0 2 -2 0 -2 0] [ 1 -2 4 1 -1 -1 1 2 0 -2 0 2 0 0 1 -2 1 -2 0 0 1 1] [-1 0 1 4 -1 1 2 1 0 -1 -1 -1 1 -1 0 0 1 -1 1 -1 0 2] [ 0 1 -1 -1 4 0 0 0 0 0 2 1 1 -1 1 1 -1 0 -2 -1 1 0] [-2 1 -1 1 0 4 1 -1 1 0 -1 -2 1 -1 -1 0 1 1 1 -1 0 1] [-1 -1 1 2 0 1 4 1 0 -2 -1 -1 0 -1 -1 -1 0 -1 0 -1 1 1] [ 2 -1 2 1 0 -1 1 4 -2 0 1 1 0 0 0 -1 -1 -1 0 0 -1 1] [-2 1 0 0 0 1 0 -2 4 0 0 -1 0 0 0 1 2 0 -2 0 1 1] [ 1 2 -2 -1 0 0 -2 0 0 4 1 -1 0 0 0 1 0 2 0 0 -2 0] [ 1 2 0 -1 2 -1 -1 1 0 1 4 0 0 0 1 1 -1 0 -3 0 -1 0] [ 2 -2 2 -1 1 -2 -1 1 -1 -1 0 6 0 -1 2 -1 0 -1 1 -1 2 -1] [ 0 0 0 1 1 1 0 0 0 0 0 0 4 -2 0 -1 1 0 1 -2 1 0] [ 0 0 0 -1 -1 -1 -1 0 0 0 0 -1 -2 4 0 1 0 0 -1 2 -1 0] [ 1 0 1 0 1 -1 -1 0 0 0 1 2 0 0 4 1 0 -1 0 0 1 1] [-1 2 -2 0 1 0 -1 -1 1 1 1 -1 -1 1 1 4 -1 0 -1 1 0 1] [-1 0 1 1 -1 1 0 -1 2 0 -1 0 1 0 0 -1 4 0 0 -1 1 1] [ 1 2 -2 -1 0 1 -1 -1 0 2 0 -1 0 0 -1 0 0 4 0 0 -2 -1] [ 0 -2 0 1 -2 1 0 0 -2 0 -3 1 1 -1 0 -1 0 0 6 -1 1 0] [ 0 0 0 -1 -1 -1 -1 0 0 0 0 -1 -2 2 0 1 -1 0 -1 4 0 0] [-2 -2 1 0 1 0 1 -1 1 -2 -1 2 1 -1 1 0 1 -2 1 0 6 0] [-1 0 1 2 0 1 1 1 1 0 0 -1 0 0 1 1 1 -1 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 239. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 1 -2 -1 1 -1 -2 -1 1 1 1 -2 -2 2 -1 2 -2 0] [ 1 4 -2 2 -1 -1 -2 1 2 1 -1 0 1 -1 0 0 0 -1 0 -1 -2 1] [-1 -2 4 -2 1 1 1 -1 -2 -1 1 0 -1 1 0 0 -1 1 -1 -1 1 1] [ 1 2 -2 4 -2 0 -2 0 2 1 -1 1 2 0 -1 -1 1 -1 1 1 0 0] [-2 -1 1 -2 4 0 1 0 -1 1 2 1 -1 0 -1 2 1 -1 1 -2 0 0] [ 1 -1 1 0 0 4 1 -1 -1 -2 1 0 1 0 -1 0 -1 1 0 2 -1 -1] [-2 -2 1 -2 1 1 6 -1 -2 -1 2 1 0 -1 0 2 0 0 0 1 0 -1] [-1 1 -1 0 0 -1 -1 4 0 0 1 0 0 -2 1 1 0 -1 1 -1 1 -1] [ 1 2 -2 2 -1 -1 -2 0 4 2 -2 1 0 0 0 -1 1 -1 0 1 -1 0] [-1 1 -1 1 1 -2 -1 0 2 4 -1 2 0 0 0 1 2 -2 0 -1 1 0] [-2 -1 1 -1 2 1 2 1 -2 -1 4 1 0 -1 -1 2 0 -1 1 -1 0 0] [-1 0 0 1 1 0 1 0 1 2 1 4 1 0 0 1 1 -2 1 0 0 0] [ 1 1 -1 2 -1 1 0 0 0 0 0 1 4 -1 -1 0 0 -1 1 0 0 0] [ 1 -1 1 0 0 0 -1 -2 0 0 -1 0 -1 4 1 -1 0 1 0 1 0 1] [ 1 0 0 -1 -1 -1 0 1 0 0 -1 0 -1 1 4 0 -1 1 -1 1 0 0] [-2 0 0 -1 2 0 2 1 -1 1 2 1 0 -1 0 4 1 -1 1 -1 1 0] [-2 0 -1 1 1 -1 0 0 1 2 0 1 0 0 -1 1 4 -2 2 -1 2 0] [ 2 -1 1 -1 -1 1 0 -1 -1 -2 -1 -2 -1 1 1 -1 -2 4 -1 2 0 0] [-1 0 -1 1 1 0 0 1 0 0 1 1 1 0 -1 1 2 -1 4 -1 1 0] [ 2 -1 -1 1 -2 2 1 -1 1 -1 -1 0 0 1 1 -1 -1 2 -1 6 0 -2] [-2 -2 1 0 0 -1 0 1 -1 1 0 0 0 0 0 1 2 0 1 0 6 -1] [ 0 1 1 0 0 -1 -1 -1 0 0 0 0 0 1 0 0 0 0 0 -2 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 240. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 2 2 -1 0 0 2 0 -1 2 0 1 -1 1 -1 0 1 0 0 -2] [-1 4 1 -2 -1 0 0 0 0 -1 1 0 -1 1 -1 1 -1 1 -2 -1 1 2] [-1 1 6 2 -2 3 -1 1 1 2 -2 1 2 0 -2 -2 2 1 -1 -1 -2 -2] [ 2 -2 2 6 0 0 1 2 2 2 -2 2 2 -1 0 -2 2 1 0 -1 -2 -3] [ 2 -1 -2 0 4 -1 0 0 0 -1 -1 0 0 1 0 2 -1 0 0 0 0 -1] [-1 0 3 0 -1 4 -2 -1 0 0 -1 0 1 -1 -1 -1 1 0 0 0 -1 -1] [ 0 0 -1 1 0 -2 4 2 0 1 1 0 -1 0 0 0 0 1 -1 -1 1 0] [ 0 0 1 2 0 -1 2 4 0 2 -1 0 1 0 0 0 0 2 -2 -2 -1 0] [ 2 0 1 2 0 0 0 0 4 0 -1 1 1 1 -1 -1 -1 1 1 -1 -1 -1] [ 0 -1 2 2 -1 0 1 2 0 4 -1 1 1 -1 0 -1 1 1 0 -1 -1 -2] [-1 1 -2 -2 -1 -1 1 -1 -1 -1 4 -1 -1 -1 1 1 0 -1 0 1 1 1] [ 2 0 1 2 0 0 0 0 1 1 -1 4 -1 1 -1 0 0 1 0 -1 0 -2] [ 0 -1 2 2 0 1 -1 1 1 1 -1 -1 4 -1 0 -1 1 0 0 0 -2 -1] [ 1 1 0 -1 1 -1 0 0 1 -1 -1 1 -1 4 -1 1 -2 1 0 -1 1 0] [-1 -1 -2 0 0 -1 0 0 -1 0 1 -1 0 -1 4 0 0 -1 0 0 0 1] [ 1 1 -2 -2 2 -1 0 0 -1 -1 1 0 -1 1 0 4 -1 0 -1 0 1 1] [-1 -1 2 2 -1 1 0 0 -1 1 0 0 1 -2 0 -1 4 -1 0 1 -1 -1] [ 0 1 1 1 0 0 1 2 1 1 -1 1 0 1 -1 0 -1 4 -1 -2 0 0] [ 1 -2 -1 0 0 0 -1 -2 1 0 0 0 0 0 0 -1 0 -1 4 1 0 -1] [ 0 -1 -1 -1 0 0 -1 -2 -1 -1 1 -1 0 -1 0 0 1 -2 1 4 1 0] [ 0 1 -2 -2 0 -1 1 -1 -1 -1 1 0 -2 1 0 1 -1 0 0 1 4 1] [-2 2 -2 -3 -1 -1 0 0 -1 -2 1 -2 -1 0 1 1 -1 0 -1 0 1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 241. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 -1 1 -1 1 1 1 0 -1 -1 1 -1 1 -2 1 1 2] [ 1 4 0 -2 0 0 -1 1 -1 0 0 0 0 -1 1 0 -2 -1 -1 2 2 1] [-1 0 4 -1 0 0 -1 1 -1 0 0 -1 0 2 2 0 1 -1 -1 1 1 0] [-1 -2 -1 4 1 0 0 0 0 0 0 -1 -1 -1 0 -1 2 1 0 -2 -1 0] [ 1 0 0 1 4 0 0 2 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1] [ 2 0 0 0 0 4 0 0 -2 2 1 1 -1 0 -1 1 1 1 -1 0 1 2] [-1 -1 -1 0 0 0 4 -2 2 0 -1 0 1 0 0 1 -1 0 2 0 -2 -1] [ 1 1 1 0 2 0 -2 4 -2 0 0 0 -1 0 1 -1 0 0 -2 0 0 1] [-1 -1 -1 0 0 -2 2 -2 4 -1 0 0 2 0 0 0 -1 0 2 0 -1 -1] [ 1 0 0 0 0 2 0 0 -1 4 2 -1 -2 0 1 -1 -1 -1 -2 0 2 1] [ 1 0 0 0 0 1 -1 0 0 2 4 -1 0 0 1 0 -1 -1 -2 0 1 1] [ 1 0 -1 -1 0 1 0 0 0 -1 -1 4 1 1 -3 1 0 1 1 -1 -1 0] [ 0 0 0 -1 0 -1 1 -1 2 -2 0 1 4 1 -1 2 0 0 1 1 -2 0] [-1 -1 2 -1 0 0 0 0 0 0 0 1 1 4 -1 1 1 0 0 0 0 0] [-1 1 2 0 0 -1 0 1 0 1 1 -3 -1 -1 6 -2 -2 -3 -1 1 1 0] [ 1 0 0 -1 0 1 1 -1 0 -1 0 1 2 1 -2 4 1 1 0 1 -1 1] [-1 -2 1 2 -1 1 -1 0 -1 -1 -1 0 0 1 -2 1 6 2 0 -1 0 1] [ 1 -1 -1 1 1 1 0 0 0 -1 -1 1 0 0 -3 1 2 4 1 0 0 1] [-2 -1 -1 0 0 -1 2 -2 2 -2 -2 1 1 0 -1 0 0 1 6 -1 -2 -1] [ 1 2 1 -2 0 0 0 0 0 0 0 -1 1 0 1 1 -1 0 -1 4 2 1] [ 1 2 1 -1 -1 1 -2 0 -1 2 1 -1 -2 0 1 -1 0 0 -2 2 6 1] [ 2 1 0 0 1 2 -1 1 -1 1 1 0 0 0 0 1 1 1 -1 1 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 242. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 -2 -1 -1 -1 0 2 -1 2 -1 0 2 -2 -2 1 1 0 -1 -1] [ 1 4 0 2 -1 -2 0 1 1 2 -1 2 1 1 1 -1 -2 2 0 1 -1 -1] [ 1 0 4 -1 -2 -2 -2 1 1 2 -1 2 -1 1 1 -1 1 1 1 1 -1 -1] [ 1 2 -1 4 -1 0 1 -1 -1 1 -1 1 0 -1 0 0 -1 2 -1 -1 -1 -1] [-2 -1 -2 -1 4 2 2 1 -1 -1 2 -1 1 -1 -1 2 0 -1 0 -1 2 1] [-1 -2 -2 0 2 4 2 -1 -1 -1 1 -1 0 -1 -1 1 1 -1 -1 -1 1 0] [-1 0 -2 1 2 2 4 0 -1 -1 1 -1 0 -1 -1 1 -1 1 -1 -1 1 0] [-1 1 1 -1 1 -1 0 4 1 0 1 0 0 1 0 0 1 0 0 1 1 -1] [ 0 1 1 -1 -1 -1 -1 1 4 1 0 1 -1 2 0 -1 0 0 1 2 -1 -1] [ 2 2 2 1 -1 -1 -1 0 1 6 -2 3 0 0 2 -1 -2 2 2 0 -1 -1] [-1 -1 -1 -1 2 1 1 1 0 -2 4 -2 1 -1 -2 2 0 -1 -1 -1 2 1] [ 2 2 2 1 -1 -1 -1 0 1 3 -2 6 0 1 2 -1 0 2 2 1 -2 -1] [-1 1 -1 0 1 0 0 0 -1 0 1 0 4 -1 0 1 0 0 0 -1 1 2] [ 0 1 1 -1 -1 -1 -1 1 2 0 -1 1 -1 4 1 -1 1 0 0 2 -1 -1] [ 2 1 1 0 -1 -1 -1 0 0 2 -2 2 0 1 4 -1 -1 0 2 1 0 0] [-2 -1 -1 0 2 1 1 0 -1 -1 2 -1 1 -1 -1 4 0 -1 0 -1 2 2] [-2 -2 1 -1 0 1 -1 1 0 -2 0 0 0 1 -1 0 6 -1 -1 0 0 0] [ 1 2 1 2 -1 -1 1 0 0 2 -1 2 0 0 0 -1 -1 4 0 0 -1 -1] [ 1 0 1 -1 0 -1 -1 0 1 2 -1 2 0 0 2 0 -1 0 4 0 0 1] [ 0 1 1 -1 -1 -1 -1 1 2 0 -1 1 -1 2 1 -1 0 0 0 4 0 -1] [-1 -1 -1 -1 2 1 1 1 -1 -1 2 -2 1 -1 0 2 0 -1 0 0 4 1] [-1 -1 -1 -1 1 0 0 -1 -1 -1 1 -1 2 -1 0 2 0 -1 1 -1 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 243. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 0 2 1 0 -2 1 -1 2 -1 -2 -1 2 2 1 -2 1 1] [-2 4 2 -1 1 1 -1 0 1 2 -2 1 0 0 2 0 -2 -2 -1 2 -1 1] [-2 2 4 0 2 -1 -1 0 0 2 -2 0 -2 0 0 1 0 -2 -1 2 -1 -1] [ 1 -1 0 4 0 -2 -1 1 1 0 2 -1 -1 1 0 1 2 0 1 0 0 1] [-1 1 2 0 4 1 1 0 0 1 -1 0 -1 0 0 2 0 -1 -2 1 -2 1] [ 0 1 -1 -2 1 4 1 -1 0 0 0 0 2 0 0 0 -1 0 -1 0 0 2] [ 2 -1 -1 -1 1 1 6 2 -1 -1 -2 1 3 -2 -3 1 0 1 -1 -1 -1 2] [ 1 0 0 1 0 -1 2 4 -1 -1 -1 1 2 0 -2 0 0 1 0 -1 -1 2] [ 0 1 0 1 0 0 -1 -1 4 0 0 -1 0 0 1 0 1 0 1 0 0 0] [-2 2 2 0 1 0 -1 -1 0 4 -1 0 -1 1 2 1 -1 -2 -1 2 -1 0] [ 1 -2 -2 2 -1 0 -2 -1 0 -1 6 0 -1 0 1 -1 1 1 2 -1 2 1] [-1 1 0 -1 0 0 1 1 -1 0 0 4 0 -1 0 0 -2 -1 -1 0 0 1] [ 2 0 -2 -1 -1 2 3 2 0 -1 -1 0 6 -1 -1 -1 0 1 1 -1 0 3] [-1 0 0 1 0 0 -2 0 0 1 0 -1 -1 4 0 1 0 0 -1 0 0 0] [-2 2 0 0 0 0 -3 -2 1 2 1 0 -1 0 6 -1 -2 -2 1 2 -1 0] [-1 0 1 1 2 0 1 0 0 1 -1 0 -1 1 -1 4 1 -1 -2 1 -1 1] [ 2 -2 0 2 0 -1 0 0 1 -1 1 -2 0 0 -2 1 4 1 1 -1 1 0] [ 2 -2 -2 0 -1 0 1 1 0 -2 1 -1 1 0 -2 -1 1 4 1 -2 1 0] [ 1 -1 -1 1 -2 -1 -1 0 1 -1 2 -1 1 -1 1 -2 1 1 4 -1 1 0] [-2 2 2 0 1 0 -1 -1 0 2 -1 0 -1 0 2 1 -1 -2 -1 4 0 0] [ 1 -1 -1 0 -2 0 -1 -1 0 -1 2 0 0 0 -1 -1 1 1 1 0 4 -1] [ 1 1 -1 1 1 2 2 2 0 0 1 1 3 0 0 1 0 0 0 0 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 244. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 0 1 2 1 0 1 1 2 -1 -1 -1 0 -1 -1 1 -2 -1 2] [ 1 4 1 0 -1 1 2 2 -1 0 1 2 0 -2 -2 1 0 0 2 -2 0 0] [ 1 1 4 2 0 0 0 -1 1 1 0 0 1 -1 -1 1 0 0 1 -2 1 1] [ 1 0 2 6 -2 2 1 0 -1 2 2 1 -1 1 1 -2 0 0 2 -3 2 0] [ 0 -1 0 -2 4 -2 -1 -2 2 -1 -2 -1 0 0 -1 1 0 -1 0 1 -1 1] [ 1 1 0 2 -2 4 2 1 -2 0 2 1 0 0 1 0 1 1 1 -2 0 0] [ 2 2 0 1 -1 2 4 2 -1 0 1 2 0 0 -1 0 -1 -1 2 -1 0 0] [ 1 2 -1 0 -2 1 2 4 -2 0 1 2 0 0 -1 -1 0 0 1 -1 0 -1] [ 0 -1 1 -1 2 -2 -1 -2 4 -1 -2 -1 0 0 0 0 0 -1 -1 1 -1 1] [ 1 0 1 2 -1 0 0 0 -1 4 0 0 -1 0 -1 -1 0 -1 0 -1 1 0] [ 1 1 0 2 -2 2 1 1 -2 0 4 2 0 0 1 0 0 1 1 -2 0 0] [ 2 2 0 1 -1 1 2 2 -1 0 2 4 0 0 -1 0 0 -1 2 -1 0 0] [-1 0 1 -1 0 0 0 0 0 -1 0 0 4 0 0 1 0 1 0 1 1 0] [-1 -2 -1 1 0 0 0 0 0 0 0 0 0 4 1 -1 1 -1 0 1 0 -2] [-1 -2 -1 1 -1 1 -1 -1 0 -1 1 -1 0 1 4 -1 0 1 -1 0 0 0] [ 0 1 1 -2 1 0 0 -1 0 -1 0 0 1 -1 -1 4 0 0 0 0 -1 0] [-1 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 0 4 0 0 0 0 -1] [-1 0 0 0 -1 1 -1 0 -1 -1 1 -1 1 -1 1 0 0 4 -1 -1 0 1] [ 1 2 1 2 0 1 2 1 -1 0 1 2 0 0 -1 0 0 -1 4 -2 1 0] [-2 -2 -2 -3 1 -2 -1 -1 1 -1 -2 -1 1 1 0 0 0 -1 -2 6 1 -1] [-1 0 1 2 -1 0 0 0 -1 1 0 0 1 0 0 -1 0 0 1 1 4 -1] [ 2 0 1 0 1 0 0 -1 1 0 0 0 0 -2 0 0 -1 1 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 245. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 2 -2 -1 -2 -2 -2 1 0 2 0 2 0 1 -1 1 0 -1 -2] [ 2 4 -2 1 1 -2 -2 -2 -2 -2 1 0 1 1 2 0 0 -2 1 0 -1 -2] [-2 -2 4 1 -2 2 0 2 2 2 -1 1 0 -1 0 1 -1 2 -2 1 0 2] [ 0 1 1 4 -1 1 -2 1 -1 -1 1 0 2 -1 0 2 -2 1 -1 1 -1 -1] [ 2 1 -2 -1 4 -2 0 -2 -1 -1 0 -1 0 1 1 0 1 0 1 -1 0 0] [-2 -2 2 1 -2 4 1 2 1 2 -1 0 -1 -1 -1 0 -1 2 -2 0 0 0] [-1 -2 0 -2 0 1 4 0 0 2 0 0 -1 -1 -2 -2 0 0 0 -1 1 1] [-2 -2 2 1 -2 2 0 4 2 1 -1 0 0 0 -2 1 -1 2 -2 0 0 0] [-2 -2 2 -1 -1 1 0 2 4 2 -1 0 -2 1 0 1 0 2 -1 0 1 2] [-2 -2 2 -1 -1 2 2 1 2 4 -1 0 -1 -1 -1 -1 0 2 -1 0 1 2] [ 1 1 -1 1 0 -1 0 -1 -1 -1 4 -1 2 -1 -1 1 -1 0 1 1 -1 0] [ 0 0 1 0 -1 0 0 0 0 0 -1 4 -1 0 2 0 0 -2 0 0 -1 1] [ 2 1 0 2 0 -1 -1 0 -2 -1 2 -1 6 -1 0 0 -1 1 -1 2 -2 -2] [ 0 1 -1 -1 1 -1 -1 0 1 -1 -1 0 -1 4 2 0 1 0 0 0 0 -1] [ 2 2 0 0 1 -1 -2 -2 0 -1 -1 2 0 2 6 0 1 -1 0 1 -1 -1] [ 0 0 1 2 0 0 -2 1 1 -1 1 0 0 0 0 4 -1 1 0 1 0 1] [ 1 0 -1 -2 1 -1 0 -1 0 0 -1 0 -1 1 1 -1 4 0 2 -1 1 -1] [-1 -2 2 1 0 2 0 2 2 2 0 -2 1 0 -1 1 0 6 -2 0 0 1] [ 1 1 -2 -1 1 -2 0 -2 -1 -1 1 0 -1 0 0 0 2 -2 4 -1 1 0] [ 0 0 1 1 -1 0 -1 0 0 0 1 0 2 0 1 1 -1 0 -1 4 0 0] [-1 -1 0 -1 0 0 1 0 1 1 -1 -1 -2 0 -1 0 1 0 1 0 4 0] [-2 -2 2 -1 0 0 1 0 2 2 0 1 -2 -1 -1 1 -1 1 0 0 0 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 246. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 2 -2 1 -1 -2 1 2 -1 -1 0 -1 -1 1 -1 -1 1 1 -2] [ 1 4 2 -1 0 1 1 -2 -2 2 0 -2 0 0 1 1 -1 -1 0 1 2 -2] [ 2 2 4 -1 0 -1 1 -2 -2 2 1 -2 0 0 -1 -1 1 -1 0 1 2 -1] [ 1 -1 -1 4 2 0 -1 1 -1 0 1 1 0 1 1 0 0 -1 0 1 -1 1] [ 2 0 0 2 4 0 -1 -1 -2 0 0 0 0 0 1 -1 1 -1 0 1 0 0] [-2 1 -1 0 0 4 0 0 0 0 -2 0 0 0 1 1 -1 0 0 0 0 1] [ 1 1 1 -1 -1 0 4 0 1 1 1 0 -2 1 -2 -1 0 1 -2 -1 0 -2] [-1 -2 -2 1 -1 0 0 6 0 -1 1 3 1 2 1 -1 1 2 -2 -2 -3 2] [-2 -2 -2 -1 -2 0 1 0 6 -2 0 1 -1 -1 -2 0 0 2 -1 -2 -1 -1] [ 1 2 2 0 0 0 1 -1 -2 4 1 -2 1 1 0 0 0 0 0 0 1 -1] [ 2 0 1 1 0 -2 1 1 0 1 4 0 0 1 0 -1 1 0 -1 0 0 -2] [-1 -2 -2 1 0 0 0 3 1 -2 0 4 0 1 1 -1 0 1 -1 -1 -2 2] [-1 0 0 0 0 0 -2 1 -1 1 0 0 4 1 1 0 1 1 1 -1 0 1] [ 0 0 0 1 0 0 1 2 -1 1 1 1 1 4 1 -1 0 0 -1 -1 -1 1] [-1 1 -1 1 1 1 -2 1 -2 0 0 1 1 1 6 0 -2 -1 1 1 -1 2] [-1 1 -1 0 -1 1 -1 -1 0 0 -1 -1 0 -1 0 4 -1 -1 1 1 1 0] [ 1 -1 1 0 1 -1 0 1 0 0 1 0 1 0 -2 -1 4 1 -1 -1 0 0] [-1 -1 -1 -1 -1 0 1 2 2 0 0 1 1 0 -1 -1 1 4 -1 -2 -1 0] [-1 0 0 0 0 0 -2 -2 -1 0 -1 -1 1 -1 1 1 -1 -1 4 1 1 1] [ 1 1 1 1 1 0 -1 -2 -2 0 0 -1 -1 -1 1 1 -1 -2 1 4 2 0] [ 1 2 2 -1 0 0 0 -3 -1 1 0 -2 0 -1 -1 1 0 -1 1 2 4 -2] [-2 -2 -1 1 0 1 -2 2 -1 -1 -2 2 1 1 2 0 0 0 1 0 -2 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 247. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 1 1 1 1 1 1 -1 1 1 1 -1 1 -1 -1 0] [-2 4 -2 2 1 -1 1 -2 0 1 0 -2 -1 0 -1 -1 -1 1 -1 0 1 1] [ 2 -2 4 -2 -1 0 -1 2 1 0 0 1 1 0 1 0 0 -1 0 0 0 0] [-2 2 -2 4 1 0 2 0 -1 -1 -1 -1 0 1 0 0 0 2 0 1 0 1] [ 0 1 -1 1 4 -1 2 -1 -1 -1 -1 1 0 -1 0 1 1 0 0 -1 -1 2] [ 1 -1 0 0 -1 4 0 0 -1 0 -1 -1 -1 -1 -1 0 0 1 2 -1 0 0] [-1 1 -1 2 2 0 4 0 -2 -2 -2 1 0 -1 0 0 0 1 0 -1 0 2] [ 1 -2 2 0 -1 0 0 4 1 -1 -1 1 2 1 2 1 1 0 1 1 -1 0] [ 1 0 1 -1 -1 -1 -2 1 4 2 1 0 1 1 1 1 1 0 -1 1 -1 0] [ 1 1 0 -1 -1 0 -2 -1 2 4 1 -2 -1 0 -1 0 0 -1 -1 0 0 0] [ 1 0 0 -1 -1 -1 -2 -1 1 1 4 0 1 0 1 -1 -1 0 -1 0 1 -2] [ 1 -2 1 -1 1 -1 1 1 0 -2 0 4 1 0 1 1 1 0 0 0 -1 0] [ 1 -1 1 0 0 -1 0 2 1 -1 1 1 4 0 2 0 1 0 0 0 0 0] [-1 0 0 1 -1 -1 -1 1 1 0 0 0 0 4 1 0 1 0 -1 2 -1 -1] [ 1 -1 1 0 0 -1 0 2 1 -1 1 1 2 1 4 1 0 0 0 0 0 0] [ 1 -1 0 0 1 0 0 1 1 0 -1 1 0 0 1 4 2 0 0 1 -2 1] [ 1 -1 0 0 1 0 0 1 1 0 -1 1 1 1 0 2 4 0 0 1 -2 1] [-1 1 -1 2 0 1 1 0 0 -1 0 0 0 0 0 0 0 4 0 0 0 1] [ 1 -1 0 0 0 2 0 1 -1 -1 -1 0 0 -1 0 0 0 0 4 -1 0 0] [-1 0 0 1 -1 -1 -1 1 1 0 0 0 0 2 0 1 1 0 -1 4 0 -1] [-1 1 0 0 -1 0 0 -1 -1 0 1 -1 0 -1 0 -2 -2 0 0 0 4 -1] [ 0 1 0 1 2 0 2 0 0 0 -2 0 0 -1 0 1 1 1 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 248. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 -1 0 1 0 1 -1 1 2 -1 -2 -1 1 -2 -1 -1 0] [-2 4 -2 2 1 1 0 1 -1 -1 0 0 -1 0 2 2 1 0 2 -1 0 1] [ 2 -2 4 -2 -1 -1 0 -1 0 1 0 -1 0 0 -1 -1 -1 1 -1 0 -1 0] [-2 2 -2 4 1 2 0 0 -1 -1 -1 0 0 -1 1 2 1 -1 2 1 1 1] [ 0 1 -1 1 4 2 -2 0 1 1 -1 1 -1 -1 2 0 2 -1 1 1 1 2] [-1 1 -1 2 2 4 0 0 1 1 -2 0 0 -2 2 1 2 -2 1 2 2 2] [-1 0 0 0 -2 0 4 1 -1 -1 0 0 0 0 0 0 0 1 -1 -1 0 0] [ 0 1 -1 0 0 0 1 4 -1 -1 0 1 1 1 1 1 1 0 -1 -2 0 1] [ 1 -1 0 -1 1 1 -1 -1 4 2 0 0 0 0 -1 -1 0 -1 -1 0 1 0] [ 0 -1 1 -1 1 1 -1 -1 2 4 -1 0 -1 -2 -1 0 0 -1 0 2 1 0] [ 1 0 0 -1 -1 -2 0 0 0 -1 4 -1 -1 2 -2 0 -1 2 -1 -1 -2 -1] [-1 0 -1 0 1 0 0 1 0 0 -1 4 -1 0 2 0 2 -1 0 -1 1 1] [ 1 -1 0 0 -1 0 0 1 0 -1 -1 -1 4 0 -1 0 -1 0 -1 0 0 -1] [ 2 0 0 -1 -1 -2 0 1 0 -2 2 0 0 4 0 -1 -1 1 -1 -3 -1 0] [-1 2 -1 1 2 2 0 1 -1 -1 -2 2 -1 0 6 1 2 -2 2 0 2 3] [-2 2 -1 2 0 1 0 1 -1 0 0 0 0 -1 1 4 0 -1 2 1 1 1] [-1 1 -1 1 2 2 0 1 0 0 -1 2 -1 -1 2 0 4 -1 0 0 1 2] [ 1 0 1 -1 -1 -2 1 0 -1 -1 2 -1 0 1 -2 -1 -1 4 -1 -1 -2 -1] [-2 2 -1 2 1 1 -1 -1 -1 0 -1 0 -1 -1 2 2 0 -1 4 1 1 1] [-1 -1 0 1 1 2 -1 -2 0 2 -1 -1 0 -3 0 1 0 -1 1 6 2 0] [-1 0 -1 1 1 2 0 0 1 1 -2 1 0 -1 2 1 1 -2 1 2 4 1] [ 0 1 0 1 2 2 0 1 0 0 -1 1 -1 0 3 1 2 -1 1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 249. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 0 2 0 -1 1 -1 -1 0 1 -1 1 -1 -1 2 1 -2 0] [-2 4 -2 2 1 1 0 0 1 0 1 0 0 1 0 -2 -1 1 -2 -1 0 1] [ 2 -2 4 -2 -1 1 1 0 0 -1 -2 -1 1 -1 0 1 1 0 2 0 -2 0] [-2 2 -2 4 2 -1 -2 1 1 1 1 1 0 1 1 -1 1 1 -2 -1 1 1] [-1 1 -1 2 4 -2 -1 2 2 2 2 2 0 2 -1 -2 2 -1 -1 1 2 2] [ 0 1 1 -1 -2 4 1 -1 -1 -2 -2 -1 1 -1 1 1 -2 1 0 -1 -1 0] [ 2 0 1 -2 -1 1 4 -1 -1 1 0 -1 0 1 0 0 -1 0 2 0 -2 0] [ 0 0 0 1 2 -1 -1 4 2 0 1 2 -1 1 0 -1 1 0 -1 1 1 0] [-1 1 0 1 2 -1 -1 2 4 0 1 2 0 1 0 -2 2 -1 -1 1 0 0] [ 1 0 -1 1 2 -2 1 0 0 6 0 2 -1 3 -1 0 2 0 2 0 -1 2] [-1 1 -2 1 2 -2 0 1 1 0 6 -1 -2 1 -2 -2 0 -1 0 1 2 0] [-1 0 -1 1 2 -1 -1 2 2 2 -1 6 1 1 1 -1 1 0 -2 0 1 0] [ 0 0 1 0 0 1 0 -1 0 -1 -2 1 4 -1 1 0 0 0 -2 -1 0 0] [ 1 1 -1 1 2 -1 1 1 1 3 1 1 -1 4 -1 -1 0 -1 1 1 0 2] [-1 0 0 1 -1 1 0 0 0 -1 -2 1 1 -1 4 1 0 1 -1 -1 0 -1] [ 1 -2 1 -1 -2 1 0 -1 -2 0 -2 -1 0 -1 1 4 0 1 2 -1 -1 0] [-1 -1 1 1 2 -2 -1 1 2 2 0 1 0 0 0 0 6 0 1 0 0 1] [-1 1 0 1 -1 1 0 0 -1 0 -1 0 0 -1 1 1 0 4 0 -2 -1 0] [ 2 -2 2 -2 -1 0 2 -1 -1 2 0 -2 -2 1 -1 2 1 0 6 0 -2 1] [ 1 -1 0 -1 1 -1 0 1 1 0 1 0 -1 1 -1 -1 0 -2 0 4 2 0] [-2 0 -2 1 2 -1 -2 1 0 -1 2 1 0 0 0 -1 0 -1 -2 2 6 0] [ 0 1 0 1 2 0 0 0 0 2 0 0 0 2 -1 0 1 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 250. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 0 -1 2 -1 1 1 1 1 0 -2 0 0 2 0 1 0 0 0] [-2 4 2 2 -1 1 -1 1 1 -2 0 0 1 1 -1 -1 -1 0 -2 0 -1 1] [-2 2 4 0 -1 2 -2 0 0 -1 -1 0 0 1 -1 -1 0 1 -1 -1 0 0] [-2 2 0 4 0 1 -1 2 0 -2 0 0 1 1 0 1 -2 0 -1 0 -1 0] [ 0 -1 -1 0 4 0 2 0 0 1 -1 1 1 1 -1 -1 -1 0 0 0 -1 -2] [-1 1 2 1 0 6 -3 2 -2 -3 0 2 2 -1 -2 1 0 2 0 -2 -2 0] [ 2 -1 -2 -1 2 -3 6 -2 2 3 1 1 0 0 1 -2 1 -2 -1 2 0 -2] [-1 1 0 2 0 2 -2 4 0 -1 0 0 2 -1 0 2 -1 0 1 0 -2 0] [ 1 1 0 0 0 -2 2 0 4 1 1 0 0 0 0 -1 1 -1 0 1 0 0] [ 1 -2 -1 -2 1 -3 3 -1 1 6 -1 -1 0 0 2 -1 2 -1 1 1 0 -1] [ 1 0 -1 0 -1 0 1 0 1 -1 4 0 0 -1 0 0 1 0 1 0 0 0] [ 1 0 0 0 1 2 1 0 0 -1 0 4 0 0 -1 0 0 1 -1 -1 -1 -1] [ 0 1 0 1 1 2 0 2 0 0 0 0 4 -1 -1 0 0 0 0 0 -2 0] [-2 1 1 1 1 -1 0 -1 0 0 -1 0 -1 4 0 -1 -2 1 -1 -1 1 -1] [ 0 -1 -1 0 -1 -2 1 0 0 2 0 -1 -1 0 4 1 0 -2 0 1 1 0] [ 0 -1 -1 1 -1 1 -2 2 -1 -1 0 0 0 -1 1 4 0 0 1 0 0 1] [ 2 -1 0 -2 -1 0 1 -1 1 2 1 0 0 -2 0 0 4 0 1 0 0 1] [ 0 0 1 0 0 2 -2 0 -1 -1 0 1 0 1 -2 0 0 4 1 -2 0 0] [ 1 -2 -1 -1 0 0 -1 1 0 1 1 -1 0 -1 0 1 1 1 4 -1 0 0] [ 0 0 -1 0 0 -2 2 0 1 1 0 -1 0 -1 1 0 0 -2 -1 4 1 0] [ 0 -1 0 -1 -1 -2 0 -2 0 0 0 -1 -2 1 1 0 0 0 0 1 4 0] [ 0 1 0 0 -2 0 -2 0 0 -1 0 -1 0 -1 0 1 1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 251. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -2 -1 1 0 -1 -2 -1 -1 -1 -1 2 -1 1 1 0 1 0 1] [ 1 4 1 2 -2 1 2 -1 -2 1 -2 -2 0 1 -1 0 1 1 -1 -1 1 0] [ 2 1 4 0 -1 1 1 0 -1 0 -1 0 0 0 1 0 1 1 -1 0 1 1] [ 1 2 0 4 -1 1 2 0 0 1 0 0 0 1 -1 0 1 1 0 1 1 1] [-2 -2 -1 -1 6 -2 -1 -1 2 -1 2 2 2 1 1 -1 -1 -1 -1 1 -2 -1] [-1 1 1 1 -2 6 2 2 -1 4 -1 0 0 2 -3 3 -1 2 1 0 2 2] [ 1 2 1 2 -1 2 4 1 0 1 -1 0 1 1 0 1 1 2 -1 1 1 1] [ 0 -1 0 0 -1 2 1 4 1 0 -1 1 -1 0 -1 2 0 2 0 1 0 2] [-1 -2 -1 0 2 -1 0 1 4 0 2 2 0 -1 0 0 1 0 -1 1 -1 0] [-2 1 0 1 -1 4 1 0 0 6 1 0 1 1 -2 2 -1 0 1 -1 1 1] [-1 -2 -1 0 2 -1 -1 -1 2 1 4 2 1 -1 1 0 -1 -2 1 1 -1 0] [-1 -2 0 0 2 0 0 1 2 0 2 4 1 0 1 0 0 0 0 2 -1 0] [-1 0 0 0 2 0 1 -1 0 1 1 1 4 0 1 0 0 -1 0 1 0 0] [-1 1 0 1 1 2 1 0 -1 1 -1 0 0 4 -2 0 -1 1 0 0 0 0] [ 2 -1 1 -1 1 -3 0 -1 0 -2 1 1 1 -2 6 -1 1 0 -1 1 -1 -1] [-1 0 0 0 -1 3 1 2 0 2 0 0 0 0 -1 4 0 1 0 0 1 2] [ 1 1 1 1 -1 -1 1 0 1 -1 -1 0 0 -1 1 0 4 1 -2 0 1 0] [ 1 1 1 1 -1 2 2 2 0 0 -2 0 -1 1 0 1 1 4 -1 1 1 1] [ 0 -1 -1 0 -1 1 -1 0 -1 1 1 0 0 0 -1 0 -2 -1 4 0 0 1] [ 1 -1 0 1 1 0 1 1 1 -1 1 2 1 0 1 0 0 1 0 4 0 1] [ 0 1 1 1 -2 2 1 0 -1 1 -1 -1 0 0 -1 1 1 1 0 0 4 0] [ 1 0 1 1 -1 2 1 2 0 1 0 0 0 0 -1 2 0 1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 252. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 1 -1 1 -2 -1 -2 0 1 -1 0 0 -2 0 1 2 -1 1 -2 2] [-1 4 0 1 2 0 0 0 1 -1 -1 1 0 1 0 -1 1 0 0 -2 -1 -1] [-1 0 4 -1 -1 1 1 2 -1 1 0 0 -1 -1 -1 1 0 0 2 1 0 1] [ 1 1 -1 4 0 0 0 0 1 -2 -1 1 -1 -1 1 1 -1 1 0 0 -1 -1] [-1 2 -1 0 4 -1 0 0 1 0 -1 0 1 2 0 0 0 0 -1 -2 1 0] [ 1 0 1 0 -1 4 -1 1 -1 1 -1 -1 -1 0 -1 0 2 2 1 2 -2 1] [-2 0 1 0 0 -1 4 2 2 1 -1 0 -1 0 0 1 -2 -1 0 1 0 -2] [-1 0 2 0 0 1 2 4 1 2 -2 0 -2 0 0 2 -1 1 0 2 0 -1] [-2 1 -1 1 1 -1 2 1 4 0 -2 1 0 0 1 0 -1 -1 -1 -1 0 -2] [ 0 -1 1 -2 0 1 1 2 0 4 -1 -1 -1 1 -1 1 0 1 0 1 -1 0] [ 1 -1 0 -1 -1 -1 -1 -2 -2 -1 4 -1 1 0 0 -1 0 -1 0 -1 0 1] [-1 1 0 1 0 -1 0 0 1 -1 -1 4 -1 -2 1 0 0 0 1 0 1 -2] [ 0 0 -1 -1 1 -1 -1 -2 0 -1 1 -1 4 1 0 -2 1 -1 -1 -1 0 2] [ 0 1 -1 -1 2 0 0 0 0 1 0 -2 1 4 -1 -1 0 0 -1 -1 -1 1] [-2 0 -1 1 0 -1 0 0 1 -1 0 1 0 -1 6 1 -1 0 0 -1 2 -2] [ 0 -1 1 1 0 0 1 2 0 1 -1 0 -2 -1 1 4 -1 1 0 1 1 0] [ 1 1 0 -1 0 2 -2 -1 -1 0 0 0 1 0 -1 -1 4 1 0 0 -1 2] [ 2 0 0 1 0 2 -1 1 -1 1 -1 0 -1 0 0 1 1 4 0 2 -1 1] [-1 0 2 0 -1 1 0 0 -1 0 0 1 -1 -1 0 0 0 0 4 0 0 0] [ 1 -2 1 0 -2 2 1 2 -1 1 -1 0 -1 -1 -1 1 0 2 0 6 0 0] [-2 -1 0 -1 1 -2 0 0 0 -1 0 1 0 -1 2 1 -1 -1 0 0 6 -1] [ 2 -1 1 -1 0 1 -2 -1 -2 0 1 -2 2 1 -2 0 2 1 0 0 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 253. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 1 1 2 1 2 0 -1 1 -1 0 1 1 1 0 0 1 2] [ 2 4 -1 -1 1 2 2 1 1 0 1 -1 -1 -2 -1 0 1 0 1 -1 2 1] [ 0 -1 4 0 0 -1 -1 0 -2 0 1 1 0 2 -1 -1 -1 -1 -1 -1 1 -1] [ 0 -1 0 4 -2 -2 -1 1 0 1 1 -1 2 2 1 0 -1 0 -2 1 -1 1] [ 0 1 0 -2 4 1 2 0 -1 -1 1 0 -1 0 -1 0 1 0 0 -1 2 -1] [ 1 2 -1 -2 1 4 2 1 0 0 0 1 -2 -1 -1 1 1 1 2 -1 2 0] [ 1 2 -1 -1 2 2 4 0 1 0 1 -1 0 0 -1 1 1 1 1 -1 1 0] [ 2 1 0 1 0 1 0 4 -1 2 1 -1 1 1 0 1 1 1 -1 0 1 1] [ 1 1 -2 0 -1 0 1 -1 4 1 -1 -1 0 -2 0 1 1 1 1 0 -1 1] [ 2 0 0 1 -1 0 0 2 1 4 -1 0 2 1 0 1 1 1 -1 0 -1 2] [ 0 1 1 1 1 0 1 1 -1 -1 4 -1 -1 2 0 -1 -1 -1 0 0 1 0] [-1 -1 1 -1 0 1 -1 -1 -1 0 -1 4 -1 0 -1 -1 -1 -1 0 -1 1 0] [ 1 -1 0 2 -1 -2 0 1 0 2 -1 -1 6 1 0 0 1 0 -2 0 -1 1] [-1 -2 2 2 0 -1 0 1 -2 1 2 0 1 6 1 -1 -1 -1 -1 1 0 0] [ 0 -1 -1 1 -1 -1 -1 0 0 0 0 -1 0 1 4 -1 -1 0 0 2 -2 1] [ 1 0 -1 0 0 1 1 1 1 1 -1 -1 0 -1 -1 4 1 2 0 0 0 0] [ 1 1 -1 -1 1 1 1 1 1 1 -1 -1 1 -1 -1 1 4 2 0 -1 1 0] [ 1 0 -1 0 0 1 1 1 1 1 -1 -1 0 -1 0 2 2 4 0 0 0 0] [ 0 1 -1 -2 0 2 1 -1 1 -1 0 0 -2 -1 0 0 0 0 4 0 0 0] [ 0 -1 -1 1 -1 -1 -1 0 0 0 0 -1 0 1 2 0 -1 0 0 4 -1 1] [ 1 2 1 -1 2 2 1 1 -1 -1 1 1 -1 0 -2 0 1 0 0 -1 6 -1] [ 2 1 -1 1 -1 0 0 1 1 2 0 0 1 0 1 0 0 0 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 254. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 0 -1 2 -2 1 2 -2 1 -1 -1 0 1 1 -1 1 1 1 1] [ 1 4 0 -1 -1 -2 1 -1 1 1 1 0 1 1 -1 0 -1 0 1 0 1 2] [ 0 0 4 1 0 0 -1 1 1 1 0 -2 0 0 -1 2 -1 -2 -2 -2 -1 -1] [ 2 -1 1 6 2 0 2 1 2 3 -2 1 1 1 -1 1 1 -2 -1 1 -1 1] [ 0 -1 0 2 4 -1 1 2 0 2 1 1 0 0 1 -1 1 -1 -1 1 -1 1] [-1 -2 0 0 -1 4 0 0 -1 -2 0 0 0 0 -1 0 -1 0 -1 0 -1 -2] [ 2 1 -1 2 1 0 4 -1 0 2 -1 2 1 1 0 -1 0 -1 0 2 0 1] [-2 -1 1 1 2 0 -1 4 0 1 1 -1 1 1 0 0 0 0 -1 -1 -1 0] [ 1 1 1 2 0 -1 0 0 4 1 0 0 1 1 0 2 -1 -1 0 0 1 1] [ 2 1 1 3 2 -2 2 1 1 6 -2 0 1 1 0 0 2 -1 0 0 -1 2] [-2 1 0 -2 1 0 -1 1 0 -2 6 -1 0 0 -1 -1 -1 1 0 -1 0 0] [ 1 0 -2 1 1 0 2 -1 0 0 -1 4 0 1 1 -1 0 0 0 2 0 1] [-1 1 0 1 0 0 1 1 1 1 0 0 4 2 -1 0 -1 -1 -1 0 0 1] [-1 1 0 1 0 0 1 1 1 1 0 1 2 4 -1 0 -1 0 -1 0 0 1] [ 0 -1 -1 -1 1 -1 0 0 0 0 -1 1 -1 -1 4 -1 0 0 1 1 0 0] [ 1 0 2 1 -1 0 -1 0 2 0 -1 -1 0 0 -1 4 0 -1 -1 -1 1 0] [ 1 -1 -1 1 1 -1 0 0 -1 2 -1 0 -1 -1 0 0 4 1 1 0 0 1] [-1 0 -2 -2 -1 0 -1 0 -1 -1 1 0 -1 0 0 -1 1 4 2 0 1 0] [ 1 1 -2 -1 -1 -1 0 -1 0 0 0 0 -1 -1 1 -1 1 2 4 0 1 1] [ 1 0 -2 1 1 0 2 -1 0 0 -1 2 0 0 1 -1 0 0 0 4 1 1] [ 1 1 -1 -1 -1 -1 0 -1 1 -1 0 0 0 0 0 1 0 1 1 1 4 0] [ 1 2 -1 1 1 -2 1 0 1 2 0 1 1 1 0 0 1 0 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 255. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 0 -1 -2 2 2 1 -1 -1 1 -2 1 1 -1 1 -1 2 0 1] [ 1 4 0 1 -1 0 0 -1 2 0 0 -2 -1 -1 -1 -1 -1 0 -1 2 0 0] [ 0 0 4 2 -2 -2 -1 -1 -1 1 -2 -2 0 1 1 1 -1 1 0 1 0 -1] [-1 1 2 4 -2 -1 1 -1 -1 1 -1 -2 0 0 -1 -1 0 0 1 0 0 -2] [ 0 -1 -2 -2 4 0 0 2 1 0 0 1 0 0 0 0 1 0 -1 0 1 0] [-1 0 -2 -1 0 4 2 0 0 -2 2 2 0 0 0 -1 0 0 1 -2 0 1] [-2 0 -1 1 0 2 4 0 0 -1 1 1 0 0 0 -2 0 0 2 -1 0 -1] [ 2 -1 -1 -1 2 0 0 6 2 1 0 0 0 -2 2 1 1 0 1 0 2 1] [ 2 2 -1 -1 1 0 0 2 6 -1 0 -2 0 -2 0 0 -2 1 -1 1 2 0] [ 1 0 1 1 0 -2 -1 1 -1 4 -2 0 -1 0 1 1 1 -1 0 1 -1 -1] [-1 0 -2 -1 0 2 1 0 0 -2 4 2 0 -1 0 0 0 -1 1 -2 0 1] [-1 -2 -2 -2 1 2 1 0 -2 0 2 6 -1 0 1 1 0 -2 2 -3 -1 1] [ 1 -1 0 0 0 0 0 0 0 -1 0 -1 4 -1 0 0 0 1 0 1 0 0] [-2 -1 1 0 0 0 0 -2 -2 0 -1 0 -1 4 -1 -1 1 1 -1 -1 0 0] [ 1 -1 1 -1 0 0 0 2 0 1 0 1 0 -1 4 2 -1 0 1 0 0 0] [ 1 -1 1 -1 0 -1 -2 1 0 1 0 1 0 -1 2 4 0 -1 0 0 0 1] [-1 -1 -1 0 1 0 0 1 -2 1 0 0 0 1 -1 0 4 -1 0 0 0 1] [ 1 0 1 0 0 0 0 0 1 -1 -1 -2 1 1 0 -1 -1 4 -1 1 1 0] [-1 -1 0 1 -1 1 2 1 -1 0 1 2 0 -1 1 0 0 -1 4 -2 0 0] [ 2 2 1 0 0 -2 -1 0 1 1 -2 -3 1 -1 0 0 0 1 -2 6 0 0] [ 0 0 0 0 1 0 0 2 2 -1 0 -1 0 0 0 0 0 1 0 0 4 0] [ 1 0 -1 -2 0 1 -1 1 0 -1 1 1 0 0 0 1 1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 256. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 2 1 1 1 0 0 -1 0 0 -2 1 -1 2 -1 -2 -1 -2 0] [ 1 4 0 2 1 0 2 1 -1 -1 -1 0 0 -1 -1 1 -1 0 -1 1 1 -1] [-2 0 4 -2 0 0 0 1 -1 0 1 -1 -1 1 -1 0 -1 0 1 0 1 0] [ 2 2 -2 4 1 1 2 1 -1 -1 -1 1 1 -2 0 0 1 -1 -1 0 -1 0] [ 2 1 0 1 4 2 2 0 -1 1 0 0 0 -1 1 0 2 0 0 0 -2 0] [ 1 0 0 1 2 4 1 0 -2 1 -1 -1 -1 -1 0 -1 1 -1 1 -1 -1 -1] [ 1 2 0 2 2 1 4 0 -2 -1 0 0 0 -2 -1 0 1 0 0 0 -1 0] [ 1 1 1 1 0 0 0 4 0 -1 -1 -1 0 -1 -1 0 0 -1 -2 0 0 1] [ 0 -1 -1 -1 -1 -2 -2 0 4 1 0 1 0 1 1 1 -1 0 -1 1 1 0] [ 0 -1 0 -1 1 1 -1 -1 1 4 -1 0 0 1 0 0 1 1 1 0 -1 0] [-1 -1 1 -1 0 -1 0 -1 0 -1 4 1 1 1 1 -1 -1 -1 0 -1 1 0] [ 0 0 -1 1 0 -1 0 -1 1 0 1 4 2 1 1 1 -1 -1 0 1 1 -1] [ 0 0 -1 1 0 -1 0 0 0 0 1 2 4 1 1 0 0 0 -1 0 0 0] [-2 -1 1 -2 -1 -1 -2 -1 1 1 1 1 1 4 0 0 -1 1 1 0 1 -1] [ 1 -1 -1 0 1 0 -1 -1 1 0 1 1 1 0 4 0 0 -1 0 0 0 0] [-1 1 0 0 0 -1 0 0 1 0 -1 1 0 0 0 4 -2 1 0 2 1 0] [ 2 -1 -1 1 2 1 1 0 -1 1 -1 -1 0 -1 0 -2 6 1 0 -1 -4 2] [-1 0 0 -1 0 -1 0 -1 0 1 -1 -1 0 1 -1 1 1 4 1 1 -1 1] [-2 -1 1 -1 0 1 0 -2 -1 1 0 0 -1 1 0 0 0 1 4 0 0 0] [-1 1 0 0 0 -1 0 0 1 0 -1 1 0 0 0 2 -1 1 0 4 2 0] [-2 1 1 -1 -2 -1 -1 0 1 -1 1 1 0 1 0 1 -4 -1 0 2 6 -2] [ 0 -1 0 0 0 -1 0 1 0 0 0 -1 0 -1 0 0 2 1 0 0 -2 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 257. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 1 2 0 1 0 -1 -2 1 -2 2 1 -1 1 -1 2 -2 2] [ 1 4 0 1 0 0 0 0 0 1 -2 -2 -1 0 0 -1 -1 0 -2 -1 -2 0] [-1 0 4 1 0 0 0 0 0 1 -1 2 0 0 0 1 2 0 0 -2 1 -2] [ 1 1 1 4 0 0 0 0 0 1 0 1 1 0 2 1 1 1 0 0 -2 0] [-2 0 0 0 6 -3 -3 -2 -3 -2 2 -1 -2 3 -1 -2 0 -2 0 1 2 0] [ 1 0 0 0 -3 4 2 2 2 2 0 0 1 -1 1 1 0 1 1 -1 -1 0] [ 2 0 0 0 -3 2 4 1 1 1 0 0 2 -2 2 2 0 2 -1 1 -2 0] [ 0 0 0 0 -2 2 1 4 0 0 1 1 1 0 0 1 -1 2 1 -1 0 -1] [ 1 0 0 0 -3 2 1 0 4 2 -2 0 1 -2 1 1 0 0 0 -1 -1 0] [ 0 1 1 1 -2 2 1 0 2 4 -1 1 1 -1 1 0 1 0 0 -2 -1 -1] [-1 -2 -1 0 2 0 0 1 -2 -1 6 0 1 1 1 0 1 1 2 1 0 0] [-2 -2 2 1 -1 0 0 1 0 1 0 6 2 0 0 1 2 1 2 -2 1 -2] [ 1 -1 0 1 -2 1 2 1 1 1 1 2 4 -2 2 2 1 1 1 1 -1 0] [-2 0 0 0 3 -1 -2 0 -2 -1 1 0 -2 4 -2 -2 0 0 0 -1 2 0] [ 2 0 0 2 -1 1 2 0 1 1 1 0 2 -2 4 2 0 1 0 1 -2 0] [ 1 -1 1 1 -2 1 2 1 1 0 0 1 2 -2 2 4 1 1 0 1 -1 0] [-1 -1 2 1 0 0 0 -1 0 1 1 2 1 0 0 1 4 0 1 -1 0 0] [ 1 0 0 1 -2 1 2 2 0 0 1 1 1 0 1 1 0 4 0 0 -1 0] [-1 -2 0 0 0 1 -1 1 0 0 2 2 1 0 0 0 1 0 4 -1 1 0] [ 2 -1 -2 0 1 -1 1 -1 -1 -2 1 -2 1 -1 1 1 -1 0 -1 6 0 2] [-2 -2 1 -2 2 -1 -2 0 -1 -1 0 1 -1 2 -2 -1 0 -1 1 0 6 -1] [ 2 0 -2 0 0 0 0 -1 0 -1 0 -2 0 0 0 0 0 0 0 2 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 258. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 0 1 2 1 0 -1 -1 0 1 0 0 -2 1 1 1 1 -1 1 1] [ 2 4 1 0 2 2 -1 -1 -1 -2 -1 -1 1 -1 -1 1 2 2 1 -2 0 0] [ 2 1 4 -1 0 1 -1 1 -1 0 -1 2 -1 -1 -1 1 -1 0 1 0 1 -1] [ 0 0 -1 4 -1 1 2 -2 1 1 1 -1 2 1 -1 1 0 -1 -1 1 0 1] [ 1 2 0 -1 4 0 -2 0 0 -2 0 0 -1 0 1 -1 1 2 0 -2 -1 1] [ 2 2 1 1 0 4 0 0 0 0 -1 -1 0 -1 -1 1 0 0 0 0 0 0] [ 1 -1 -1 2 -2 0 6 0 1 1 1 -1 2 1 -3 0 1 -1 -1 1 0 1] [ 0 -1 1 -2 0 0 0 4 1 0 -1 1 -1 -1 1 -1 -1 0 -1 0 0 -1] [-1 -1 -1 1 0 0 1 1 4 0 -1 0 -1 -1 0 -2 0 0 -1 0 -2 -1] [-1 -2 0 1 -2 0 1 0 0 4 0 1 1 1 1 0 -2 -2 -1 2 0 0] [ 0 -1 -1 1 0 -1 1 -1 -1 0 4 -1 0 2 -1 1 0 -1 -1 0 1 2] [ 1 -1 2 -1 0 -1 -1 1 0 1 -1 6 0 -1 2 -1 -2 -1 0 1 1 -1] [ 0 1 -1 2 -1 0 2 -1 -1 1 0 0 6 0 1 1 1 -1 0 1 1 1] [ 0 -1 -1 1 0 -1 1 -1 -1 1 2 -1 0 4 -1 1 0 0 -1 0 1 2] [-2 -1 -1 -1 1 -1 -3 1 0 1 -1 2 1 -1 6 -2 -2 -1 0 1 -1 0] [ 1 1 1 1 -1 1 0 -1 -2 0 1 -1 1 1 -2 4 1 0 0 0 2 1] [ 1 2 -1 0 1 0 1 -1 0 -2 0 -2 1 0 -2 1 4 2 1 -2 0 1] [ 1 2 0 -1 2 0 -1 0 0 -2 -1 -1 -1 0 -1 0 2 4 1 -2 0 0] [ 1 1 1 -1 0 0 -1 -1 -1 -1 -1 0 0 -1 0 0 1 1 4 -1 0 0] [-1 -2 0 1 -2 0 1 0 0 2 0 1 1 0 1 0 -2 -2 -1 4 1 0] [ 1 0 1 0 -1 0 0 0 -2 0 1 1 1 1 -1 2 0 0 0 1 4 0] [ 1 0 -1 1 1 0 1 -1 -1 0 2 -1 1 2 0 1 1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 259. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 -1 2 2 0 2 0 0 1 0 0 -1 -1 1 1 -1 -2 0 0] [ 0 4 1 0 -2 -1 1 0 -1 0 0 -1 0 0 1 0 -1 -1 0 -2 0 0] [-1 1 4 1 0 -2 -1 -1 0 1 0 -2 1 0 -1 1 -2 -2 1 1 0 -1] [ 0 0 1 4 1 -2 0 -1 1 -1 1 1 2 1 0 0 1 0 0 -1 -1 -1] [-1 -2 0 1 6 1 -1 2 1 2 1 -1 2 1 -1 1 -1 1 -2 2 -1 -1] [ 2 -1 -2 -2 1 6 0 2 0 2 1 1 -1 1 0 1 1 0 -2 0 -1 -1] [ 2 1 -1 0 -1 0 4 1 2 0 0 1 0 0 1 0 0 1 -1 -1 0 0] [ 0 0 -1 -1 2 2 1 4 1 2 0 0 0 1 1 0 -1 1 -1 0 -1 -1] [ 2 -1 0 1 1 0 2 1 4 1 0 0 1 0 -1 -1 0 1 -1 0 0 0] [ 0 0 1 -1 2 2 0 2 1 4 0 -1 0 1 -1 1 -1 0 -1 1 -1 -1] [ 0 0 0 1 1 1 0 0 0 0 4 -1 0 2 1 0 1 -1 -2 0 -2 0] [ 1 -1 -2 1 -1 1 1 0 0 -1 -1 6 -1 1 0 0 3 2 1 0 -1 0] [ 0 0 1 2 2 -1 0 0 1 0 0 -1 4 -1 0 0 -1 0 -1 -1 0 -1] [ 0 0 0 1 1 1 0 1 0 1 2 1 -1 4 0 0 1 0 -1 0 -2 0] [-1 1 -1 0 -1 0 1 1 -1 -1 1 0 0 0 4 0 0 -1 0 -1 0 -1] [-1 0 1 0 1 1 0 0 -1 1 0 0 0 0 0 4 -1 -1 0 2 0 -2] [ 1 -1 -2 1 -1 1 0 -1 0 -1 1 3 -1 1 0 -1 4 1 0 -1 -1 1] [ 1 -1 -2 0 1 0 1 1 1 0 -1 2 0 0 -1 -1 1 4 0 0 0 1] [-1 0 1 0 -2 -2 -1 -1 -1 -1 -2 1 -1 -1 0 0 0 0 4 0 1 0] [-2 -2 1 -1 2 0 -1 0 0 1 0 0 -1 0 -1 2 -1 0 0 6 1 0] [ 0 0 0 -1 -1 -1 0 -1 0 -1 -2 -1 0 -2 0 0 -1 0 1 1 4 0] [ 0 0 -1 -1 -1 -1 0 -1 0 -1 0 0 -1 0 -1 -2 1 1 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 260. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 -2 -1 1 -1 0 1 0 -1 -1 -2 0 1 0 -1 0 -2 0] [ 0 4 2 2 -2 2 2 1 0 1 -1 -2 0 0 2 -1 0 2 -1 -2 -1 1] [ 1 2 6 -1 0 -1 1 2 -1 -1 -2 -2 -2 -2 -1 -2 -2 2 -2 -2 0 -1] [-2 2 -1 6 -3 4 2 0 0 2 0 -2 2 2 3 1 -1 2 2 -2 -1 2] [ 0 -2 0 -3 4 -3 -2 -1 1 -1 0 2 -1 -1 -2 0 1 -2 0 2 2 -1] [-2 2 -1 4 -3 6 3 1 -1 2 -1 -2 1 1 4 0 -1 2 0 -2 0 1] [-1 2 1 2 -2 3 4 1 -1 0 -2 -2 1 1 3 0 -1 2 0 -2 -1 1] [ 1 1 2 0 -1 1 1 4 -1 0 0 -1 0 0 -1 -2 -2 1 -1 -1 0 0] [-1 0 -1 0 1 -1 -1 -1 4 -1 1 0 0 0 -1 1 1 0 1 0 0 -1] [ 0 1 -1 2 -1 2 0 0 -1 4 1 0 1 1 2 0 1 0 0 0 1 2] [ 1 -1 -2 0 0 -1 -2 0 1 1 4 1 1 1 -1 1 1 -1 1 1 -1 1] [ 0 -2 -2 -2 2 -2 -2 -1 0 0 1 4 0 1 -1 0 1 -2 0 2 1 0] [-1 0 -2 2 -1 1 1 0 0 1 1 0 4 2 1 1 0 -1 1 0 0 2] [-1 0 -2 2 -1 1 1 0 0 1 1 1 2 4 1 1 0 0 1 0 0 2] [-2 2 -1 3 -2 4 3 -1 -1 2 -1 -1 1 1 6 0 0 1 1 -1 -1 2] [ 0 -1 -2 1 0 0 0 -2 1 0 1 0 1 1 0 4 2 0 1 0 -1 1] [ 1 0 -2 -1 1 -1 -1 -2 1 1 1 1 0 0 0 2 4 -1 0 1 0 1] [ 0 2 2 2 -2 2 2 1 0 0 -1 -2 -1 0 1 0 -1 4 0 -2 -1 0] [-1 -1 -2 2 0 0 0 -1 1 0 1 0 1 1 1 1 0 0 4 0 -1 1] [ 0 -2 -2 -2 2 -2 -2 -1 0 0 1 2 0 0 -1 0 1 -2 0 4 2 0] [-2 -1 0 -1 2 0 -1 0 0 1 -1 1 0 0 -1 -1 0 -1 -1 2 6 -1] [ 0 1 -1 2 -1 1 1 0 -1 2 1 0 2 2 2 1 1 0 1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 261. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 0 0 -1 1 0 0 0 0 -2 0 0 1 -2 0 -2 0 -1] [-1 6 -3 1 2 -1 2 1 -1 1 -1 1 1 1 2 1 2 0 1 1 -1 1] [ 2 -3 6 -2 -1 2 -1 1 2 1 2 -2 1 -2 -1 -2 -1 0 -2 -2 -1 -2] [ 0 1 -2 4 0 -2 1 1 -2 -1 -2 0 0 1 2 0 1 0 0 0 2 2] [ 0 2 -1 0 4 -1 2 1 1 1 -1 -1 -1 -1 0 2 1 -1 -1 1 0 -1] [ 0 -1 2 -2 -1 4 -2 0 2 1 2 0 0 0 -2 -2 -2 0 0 0 0 0] [ 0 2 -1 1 2 -2 4 0 -1 1 -1 0 0 0 1 1 1 0 0 0 0 0] [-1 1 1 1 1 0 0 4 0 1 0 -1 1 0 1 -1 0 1 -1 0 0 0] [ 1 -1 2 -2 1 2 -1 0 4 0 1 -1 -1 -1 -2 0 0 -1 -1 0 0 -1] [ 0 1 1 -1 1 1 1 1 0 4 0 0 0 0 0 -1 0 1 -1 -1 -1 -1] [ 0 -1 2 -2 -1 2 -1 0 1 0 4 1 1 -1 -2 -1 -1 1 0 -1 -1 -1] [ 0 1 -2 0 -1 0 0 -1 -1 0 1 4 1 0 0 0 1 1 2 -1 0 0] [ 0 1 1 0 -1 0 0 1 -1 0 1 1 4 -1 1 -1 0 0 0 -1 -1 0] [-2 1 -2 1 -1 0 0 0 -1 0 -1 0 -1 4 0 0 0 1 1 1 1 2] [ 0 2 -1 2 0 -2 1 1 -2 0 -2 0 1 0 4 0 1 0 0 0 0 1] [ 0 1 -2 0 2 -2 1 -1 0 -1 -1 0 -1 0 0 4 2 -1 0 1 0 0] [ 1 2 -1 1 1 -2 1 0 0 0 -1 1 0 0 1 2 4 0 0 -1 0 0] [-2 0 0 0 -1 0 0 1 -1 1 1 1 0 1 0 -1 0 4 0 0 0 0] [ 0 1 -2 0 -1 0 0 -1 -1 -1 0 2 0 1 0 0 0 0 4 0 0 1] [-2 1 -2 0 1 0 0 0 0 -1 -1 -1 -1 1 0 1 -1 0 0 4 1 1] [ 0 -1 -1 2 0 0 0 0 0 -1 -1 0 -1 1 0 0 0 0 0 1 4 1] [-1 1 -2 2 -1 0 0 0 -1 -1 -1 0 0 2 1 0 0 0 1 1 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 262. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 0 1 1 0 -1 1 1 2 2 0 0 1 1 2 -1 1 1 0] [ 1 4 0 -2 0 2 -1 0 -2 0 2 1 1 0 -1 -1 -1 0 -1 2 2 0] [ 2 0 4 -1 1 1 2 0 0 1 1 1 1 0 -1 1 2 0 -1 1 0 1] [-1 -2 -1 4 1 -2 1 1 0 1 -2 -2 -1 1 1 1 0 0 2 -2 -2 1] [ 0 0 1 1 4 1 2 1 -1 2 1 -2 0 1 0 0 -1 -1 1 1 -1 0] [ 1 2 1 -2 1 4 0 -1 -1 1 2 0 0 0 -1 0 -1 0 0 2 2 0] [ 1 -1 2 1 2 0 6 -1 -1 1 0 -2 0 -1 1 0 1 1 1 0 -3 2] [ 0 0 0 1 1 -1 -1 4 1 1 0 -1 1 2 1 1 -1 0 1 0 -1 0] [-1 -2 0 0 -1 -1 -1 1 4 -1 -1 -1 -1 1 0 0 0 0 0 -1 0 0] [ 1 0 1 1 2 1 1 1 -1 4 1 0 0 1 0 2 -1 1 1 1 -1 0] [ 1 2 1 -2 1 2 0 0 -1 1 4 0 1 -1 0 0 -1 0 -1 2 1 0] [ 2 1 1 -2 -2 0 -2 -1 -1 0 0 6 2 -1 -2 0 2 1 -2 0 1 -2] [ 2 1 1 -1 0 0 0 1 -1 0 1 2 4 -1 1 0 1 0 0 1 0 0] [ 0 0 0 1 1 0 -1 2 1 1 -1 -1 -1 4 -1 1 -1 0 0 0 1 0] [ 0 -1 -1 1 0 -1 1 1 0 0 0 -2 1 -1 4 0 -1 0 2 0 -2 1] [ 1 -1 1 1 0 0 0 1 0 2 0 0 0 1 0 4 1 1 0 0 0 1] [ 1 -1 2 0 -1 -1 1 -1 0 -1 -1 2 1 -1 -1 1 4 0 -1 -1 0 1] [ 2 0 0 0 -1 0 1 0 0 1 0 1 0 0 0 1 0 4 0 0 0 0] [-1 -1 -1 2 1 0 1 1 0 1 -1 -2 0 0 2 0 -1 0 4 -1 -2 1] [ 1 2 1 -2 1 2 0 0 -1 1 2 0 1 0 0 0 -1 0 -1 4 2 0] [ 1 2 0 -2 -1 2 -3 -1 0 -1 1 1 0 1 -2 0 0 0 -2 2 6 -1] [ 0 0 1 1 0 0 2 0 0 0 0 -2 0 0 1 1 1 0 1 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 263. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 -1 1 0 -2 -2 -1 -1 -1 -1 1 0 1 1 -2 -1 1 0] [ 1 4 -1 1 0 1 -1 1 -2 1 1 1 -2 1 2 1 2 -1 -2 1 -1 1] [ 2 -1 4 -2 2 -1 0 0 -1 -1 -2 -2 1 -2 -1 0 0 2 0 -2 1 -1] [-1 1 -2 4 0 0 -1 -1 0 2 2 2 0 2 0 0 0 -2 0 2 0 2] [ 2 0 2 0 4 0 -1 -1 -2 -1 0 0 0 0 0 1 1 0 0 0 1 1] [-1 1 -1 0 0 4 0 1 -1 0 1 0 -1 0 1 2 2 -1 -1 1 0 0] [ 1 -1 0 -1 -1 0 4 1 0 -2 -1 -1 -1 -1 1 0 0 1 0 -1 1 -1] [ 0 1 0 -1 -1 1 1 4 0 -1 -1 0 -1 0 1 0 2 1 0 -1 -1 0] [-2 -2 -1 0 -2 -1 0 0 6 2 -1 1 1 1 -1 -3 -2 1 3 -1 1 1] [-2 1 -1 2 -1 0 -2 -1 2 6 0 1 1 1 -1 -1 0 0 2 0 0 1] [-1 1 -2 2 0 1 -1 -1 -1 0 4 1 0 2 1 1 0 -2 -1 2 -1 1] [-1 1 -2 2 0 0 -1 0 1 1 1 4 -1 2 0 0 0 -2 0 1 0 2] [-1 -2 1 0 0 -1 -1 -1 1 1 0 -1 4 -1 -1 -1 -1 0 2 0 0 0] [-1 1 -2 2 0 0 -1 0 1 1 2 2 -1 4 0 0 0 -1 0 1 0 2] [ 1 2 -1 0 0 1 1 1 -1 -1 1 0 -1 0 4 0 1 -1 0 1 -1 1] [ 0 1 0 0 1 2 0 0 -3 -1 1 0 -1 0 0 4 2 -1 -2 1 0 0] [ 1 2 0 0 1 2 0 2 -2 0 0 0 -1 0 1 2 4 0 -1 0 0 1] [ 1 -1 2 -2 0 -1 1 1 1 0 -2 -2 0 -1 -1 -1 0 4 1 -2 1 -1] [-2 -2 0 0 0 -1 0 0 3 2 -1 0 2 0 0 -2 -1 1 6 -1 0 1] [-1 1 -2 2 0 1 -1 -1 -1 0 2 1 0 1 1 1 0 -2 -1 4 0 1] [ 1 -1 1 0 1 0 1 -1 1 0 -1 0 0 0 -1 0 0 1 0 0 4 0] [ 0 1 -1 2 1 0 -1 0 1 1 1 2 0 2 1 0 1 -1 1 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 264. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 0 -1 2 0 -1 2 -1 0 0 1 0 1 -2 -1 2 0 0] [-1 6 -3 1 -1 1 2 -2 1 1 1 -1 1 2 2 -1 1 -1 1 1 2 -1] [ 2 -3 6 -2 2 1 -1 1 -2 1 1 -1 -2 -1 -1 -1 -2 -1 -2 1 -1 -1] [ 0 1 -2 4 -2 -1 -1 -1 2 -1 0 0 2 1 1 -1 1 0 1 0 1 -1] [ 0 -1 2 -2 4 2 1 1 -2 0 0 1 -2 -1 -1 0 -2 0 -2 0 0 1] [ 0 1 1 -1 2 4 2 -1 -1 0 0 -1 -1 1 1 0 -1 0 -1 0 0 -1] [-1 2 -1 -1 1 2 4 -1 0 0 0 -1 0 0 0 0 -1 0 -1 0 1 0] [ 2 -2 1 -1 1 -1 -1 4 0 -1 1 0 -1 -1 0 1 1 -1 -1 1 0 1] [ 0 1 -2 2 -2 -1 0 0 4 -1 1 -1 2 0 0 1 1 -1 1 1 0 0] [-1 1 1 -1 0 0 0 -1 -1 4 -1 0 -1 1 -1 -1 0 1 1 -1 0 -1] [ 2 1 1 0 0 0 0 1 1 -1 4 -1 0 -1 1 0 0 -2 -1 2 0 0] [-1 -1 -1 0 1 -1 -1 0 -1 0 -1 4 -1 0 -1 1 -1 1 1 -1 -1 2] [ 0 1 -2 2 -2 -1 0 -1 2 -1 0 -1 4 0 0 0 1 -1 0 0 1 0] [ 0 2 -1 1 -1 1 0 -1 0 1 -1 0 0 4 1 0 1 0 1 0 1 -1] [ 1 2 -1 1 -1 1 0 0 0 -1 1 -1 0 1 4 -1 1 -1 1 1 0 -1] [ 0 -1 -1 -1 0 0 0 1 1 -1 0 1 0 0 -1 4 1 0 0 0 -1 2] [ 1 1 -2 1 -2 -1 -1 1 1 0 0 -1 1 1 1 1 4 0 1 0 1 0] [-2 -1 -1 0 0 0 0 -1 -1 1 -2 1 -1 0 -1 0 0 4 1 -2 0 0] [-1 1 -2 1 -2 -1 -1 -1 1 1 -1 1 0 1 1 0 1 1 4 -1 -1 0] [ 2 1 1 0 0 0 0 1 1 -1 2 -1 0 0 1 0 0 -2 -1 4 1 0] [ 0 2 -1 1 0 0 1 0 0 0 0 -1 1 1 0 -1 1 0 -1 1 4 -1] [ 0 -1 -1 -1 1 -1 0 1 0 -1 0 2 0 -1 -1 2 0 0 0 0 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 265. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 0 -1 1 0 1 -1 1 1 0 1 0 -2 1 -2 -2 -2 -1 0] [-2 4 -2 -1 -1 0 0 1 -1 1 -1 -2 1 0 0 1 0 1 0 1 0 -1] [ 2 -2 4 1 -1 -1 -1 0 0 0 0 0 0 -1 -1 -1 0 -1 -1 -1 0 1] [ 0 -1 1 4 0 1 1 0 -1 -1 -1 0 -1 -2 1 1 1 -1 1 1 -1 2] [ 0 -1 -1 0 4 2 0 0 1 1 1 0 -2 1 -1 0 0 0 0 0 0 0] [-1 0 -1 1 2 4 0 1 1 1 1 -1 -1 0 -1 1 0 0 0 1 0 0] [ 1 0 -1 1 0 0 4 1 -1 -2 -1 0 1 1 1 -1 0 0 -1 -1 0 1] [ 0 1 0 0 0 1 1 4 1 0 0 -1 1 0 0 0 0 1 -1 0 0 -1] [ 1 -1 0 -1 1 1 -1 1 4 0 1 1 -1 0 0 0 1 -1 -1 0 -1 -2] [-1 1 0 -1 1 1 -2 0 0 4 0 -1 0 0 -1 1 -1 0 0 1 1 -1] [ 1 -1 0 -1 1 1 -1 0 1 0 4 1 0 1 -1 -1 0 0 0 -1 0 -1] [ 1 -2 0 0 0 -1 0 -1 1 -1 1 4 0 0 1 -1 1 0 1 -1 -1 0] [ 0 1 0 -1 -2 -1 1 1 -1 0 0 0 4 1 1 -1 -1 1 -1 -1 1 -1] [ 1 0 -1 -2 1 0 1 0 0 0 1 0 1 4 -1 -2 0 1 -1 -2 0 -1] [ 0 0 -1 1 -1 -1 1 0 0 -1 -1 1 1 -1 4 1 0 -1 1 1 0 0] [-2 1 -1 1 0 1 -1 0 0 1 -1 -1 -1 -2 1 4 -1 0 1 2 0 0] [ 1 0 0 1 0 0 0 0 1 -1 0 1 -1 0 0 -1 4 -1 0 0 -2 0] [-2 1 -1 -1 0 0 0 1 -1 0 0 0 1 1 -1 0 -1 4 1 0 1 0] [-2 0 -1 1 0 0 -1 -1 -1 0 0 1 -1 -1 1 1 0 1 4 1 0 1] [-2 1 -1 1 0 1 -1 0 0 1 -1 -1 -1 -2 1 2 0 0 1 4 1 0] [-1 0 0 -1 0 0 0 0 -1 1 0 -1 1 0 0 0 -2 1 0 1 4 0] [ 0 -1 1 2 0 0 1 -1 -2 -1 -1 0 -1 -1 0 0 0 0 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 266. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 0 1 -2 -2 -2 0 1 0 1 2 1 2 2 0 1 0 -2 0] [-2 6 2 -2 -2 -2 1 2 1 -1 -2 -2 -2 -2 -1 -1 0 -1 -1 1 1 -1] [ 0 2 4 -1 -2 0 -1 1 0 -1 -2 0 -2 1 -1 0 2 -1 -1 1 0 1] [ 1 -2 -1 4 0 2 1 -1 -1 -1 1 1 1 0 0 2 1 -1 1 1 1 1] [ 0 -2 -2 0 4 -1 -1 0 0 0 1 1 1 1 0 -1 -2 0 0 0 0 0] [ 1 -2 0 2 -1 4 1 0 -1 1 1 1 1 1 0 1 2 1 1 -1 1 1] [-2 1 -1 1 -1 1 4 1 1 0 0 0 0 -2 -1 0 -1 0 0 0 2 0] [-2 2 1 -1 0 0 1 4 1 0 0 -1 0 0 -2 -1 -1 0 -1 0 2 1] [-2 1 0 -1 0 -1 1 1 4 -1 -1 0 0 -1 0 -2 -1 1 -2 -1 2 1] [ 0 -1 -1 -1 0 1 0 0 -1 4 1 0 0 0 1 -1 -1 2 0 -2 0 0] [ 1 -2 -2 1 1 1 0 0 -1 1 4 -1 2 0 1 1 -1 0 0 -1 0 0] [ 0 -2 0 1 1 1 0 -1 0 0 -1 4 -1 1 -1 -1 1 0 1 0 1 1] [ 1 -2 -2 1 1 1 0 0 0 0 2 -1 4 0 1 1 -1 1 0 -1 -1 0] [ 2 -2 1 0 1 1 -2 0 -1 0 0 1 0 4 -1 0 1 0 1 0 -1 1] [ 1 -1 -1 0 0 0 -1 -2 0 1 1 -1 1 -1 4 1 0 1 -1 -1 -1 0] [ 2 -1 0 2 -1 1 0 -1 -2 -1 1 -1 1 0 1 4 1 -1 1 1 -1 0] [ 2 0 2 1 -2 2 -1 -1 -1 -1 -1 1 -1 1 0 1 6 -1 1 1 -1 1] [ 0 -1 -1 -1 0 1 0 0 1 2 0 0 1 0 1 -1 -1 4 0 -2 1 0] [ 1 -1 -1 1 0 1 0 -1 -2 0 0 1 0 1 -1 1 1 0 4 0 -1 -1] [ 0 1 1 1 0 -1 0 0 -1 -2 -1 0 -1 0 -1 1 1 -2 0 4 0 0] [-2 1 0 1 0 1 2 2 2 0 0 1 -1 -1 -1 -1 -1 1 -1 0 6 1] [ 0 -1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 -1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 267. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 1 -1 0 0 0 0 0 1 2 0 1 -1 -1 0 -1 2 -1 0] [ 2 4 -1 -1 0 -2 0 1 1 1 1 2 2 0 -1 0 -1 -1 -1 0 -1 1] [ 0 -1 4 1 -1 2 0 -1 -1 -1 -1 -1 -1 -1 2 1 2 1 -1 -1 2 1] [ 0 -1 1 4 1 2 1 -2 -2 -2 0 1 -2 1 0 -1 0 2 1 1 1 -1] [ 1 0 -1 1 4 1 0 -1 1 -1 0 0 1 1 0 -1 -2 1 0 0 -1 0] [-1 -2 2 2 1 6 2 -1 0 0 1 -2 -2 0 2 -1 2 2 0 1 2 1] [ 0 0 0 1 0 2 4 1 -1 1 2 1 -2 -1 0 0 0 2 -1 2 0 0] [ 0 1 -1 -2 -1 -1 1 4 0 1 1 1 1 0 0 1 0 -1 0 0 -1 1] [ 0 1 -1 -2 1 0 -1 0 4 2 1 -1 2 0 0 -1 0 -1 -1 -1 -1 1] [ 0 1 -1 -2 -1 0 1 1 2 4 2 0 1 -1 0 -1 0 -1 -1 1 -1 1] [ 0 1 -1 0 0 1 2 1 1 2 4 0 -1 -1 0 -1 0 0 0 1 -1 1] [ 1 2 -1 1 0 -2 1 1 -1 0 0 6 2 0 -1 0 -2 1 -1 0 -1 -1] [ 2 2 -1 -2 1 -2 -2 1 2 1 -1 2 6 1 1 -1 -1 -1 -1 0 -2 0] [ 0 0 -1 1 1 0 -1 0 0 -1 -1 0 1 4 0 -1 0 -1 2 1 0 0] [ 1 -1 2 0 0 2 0 0 0 0 0 -1 1 0 4 -1 1 0 0 1 0 1] [-1 0 1 -1 -1 -1 0 1 -1 -1 -1 0 -1 -1 -1 4 1 0 -1 -2 1 1] [-1 -1 2 0 -2 2 0 0 0 0 0 -2 -1 0 1 1 4 0 0 0 2 1] [ 0 -1 1 2 1 2 2 -1 -1 -1 0 1 -1 -1 0 0 0 4 -1 1 1 -1] [-1 -1 -1 1 0 0 -1 0 -1 -1 0 -1 -1 2 0 -1 0 -1 4 0 0 0] [ 2 0 -1 1 0 1 2 0 -1 1 1 0 0 1 1 -2 0 1 0 6 0 -1] [-1 -1 2 1 -1 2 0 -1 -1 -1 -1 -1 -2 0 0 1 2 1 0 0 4 0] [ 0 1 1 -1 0 1 0 1 1 1 1 -1 0 0 1 1 1 -1 0 -1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 268. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -2 1 0 0 -1 2 -1 1 1 1 1 2 2 2 2 -1 2 2 2] [ 0 4 0 0 -2 0 0 0 -2 1 -1 -1 2 0 0 1 -1 -1 -1 1 1 -2] [-1 0 4 1 1 0 0 2 -2 2 1 1 -2 -2 1 -1 0 0 1 -1 -1 1] [-2 0 1 4 0 1 0 0 0 0 1 1 0 -1 -1 0 -2 -2 2 0 0 0] [ 1 -2 1 0 6 2 -2 1 3 -2 0 1 -3 1 0 0 -1 0 1 0 2 4] [ 0 0 0 1 2 4 0 -1 0 0 0 0 0 0 0 0 -2 -1 1 0 2 0] [ 0 0 0 0 -2 0 4 -2 -1 1 1 1 0 -2 1 0 0 0 -1 0 0 -1] [-1 0 2 0 1 -1 -2 4 -1 0 0 -1 -2 0 -1 -1 0 0 0 -1 -1 1] [ 2 -2 -2 0 3 0 -1 -1 6 -3 1 1 -1 2 0 1 1 1 1 1 1 3] [-1 1 2 0 -2 0 1 0 -3 4 0 0 1 -2 1 -1 0 0 0 -1 -1 -2] [ 1 -1 1 1 0 0 1 0 1 0 4 2 0 -1 1 0 1 1 1 0 0 1] [ 1 -1 1 1 1 0 1 -1 1 0 2 4 0 -1 1 0 1 1 1 0 0 2] [ 1 2 -2 0 -3 0 0 -2 -1 1 0 0 6 1 1 1 0 0 -1 1 1 -3] [ 1 0 -2 -1 1 0 -2 0 2 -2 -1 -1 1 4 -1 0 1 1 0 0 0 0] [ 2 0 1 -1 0 0 1 -1 0 1 1 1 1 -1 4 1 1 1 0 1 1 1] [ 2 1 -1 0 0 0 0 -1 1 -1 0 0 1 0 1 4 -1 0 -1 2 2 1] [ 2 -1 0 -2 -1 -2 0 0 1 0 1 1 0 1 1 -1 6 3 0 0 -2 1] [ 2 -1 0 -2 0 -1 0 0 1 0 1 1 0 1 1 0 3 4 0 0 -1 1] [-1 -1 1 2 1 1 -1 0 1 0 1 1 -1 0 0 -1 0 0 4 -1 -1 1] [ 2 1 -1 0 0 0 0 -1 1 -1 0 0 1 0 1 2 0 0 -1 4 3 1] [ 2 1 -1 0 2 2 0 -1 1 -1 0 0 1 0 1 2 -2 -1 -1 3 6 1] [ 2 -2 1 0 4 0 -1 1 3 -2 1 2 -3 0 1 1 1 1 1 1 1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 269. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 0 0 2 -2 2 -2 0 1 1 -1 2 2 -1 -1 1 -1 2] [ 1 4 -1 0 0 1 1 0 -2 1 -1 1 2 0 0 0 0 0 -2 2 0 2] [-1 -1 4 -1 1 1 1 -1 -1 0 0 1 0 1 -1 -1 -1 -1 0 0 -1 1] [-1 0 -1 4 -2 -1 1 -1 1 0 -1 -1 0 -1 1 1 0 2 0 1 1 -1] [ 1 0 1 -2 4 2 1 1 -2 1 -1 0 0 1 -2 0 1 -2 -1 1 -1 2] [ 0 1 1 -1 2 4 2 -1 -2 1 -1 1 0 1 0 0 1 -2 -1 1 -1 1] [ 0 1 1 1 1 2 4 -1 -2 1 -1 0 0 1 0 1 1 -1 -2 2 -1 2] [ 2 0 -1 -1 1 -1 -1 4 -1 0 0 0 0 1 -2 1 1 0 0 1 -1 0] [-2 -2 -1 1 -2 -2 -2 -1 6 -3 3 -1 -2 -2 2 -2 -2 1 3 -3 2 -2] [ 2 1 0 0 1 1 1 0 -3 4 -2 0 1 0 0 1 1 0 -1 1 0 1] [-2 -1 0 -1 -1 -1 -1 0 3 -2 6 -1 -2 0 1 -2 -3 1 2 -1 0 -1] [ 0 1 1 -1 0 1 0 0 -1 0 -1 4 0 1 -1 -1 1 0 0 1 -1 1] [ 1 2 0 0 0 0 0 0 -2 1 -2 0 4 -1 0 0 0 0 -2 0 0 1] [ 1 0 1 -1 1 1 1 1 -2 0 0 1 -1 4 -2 1 1 -1 -1 2 -2 2] [-1 0 -1 1 -2 0 0 -2 2 0 1 -1 0 -2 4 -1 -1 0 1 -2 2 -2] [ 2 0 -1 1 0 0 1 1 -2 1 -2 -1 0 1 -1 4 2 0 -1 2 -1 0] [ 2 0 -1 0 1 1 1 1 -2 1 -3 1 0 1 -1 2 4 -1 -1 1 -1 1] [-1 0 -1 2 -2 -2 -1 0 1 0 1 0 0 -1 0 0 -1 4 1 1 1 -1] [-1 -2 0 0 -1 -1 -2 0 3 -1 2 0 -2 -1 1 -1 -1 1 4 -2 1 -2] [ 1 2 0 1 1 1 2 1 -3 1 -1 1 0 2 -2 2 1 1 -2 6 -1 2] [-1 0 -1 1 -1 -1 -1 -1 2 0 0 -1 0 -2 2 -1 -1 1 1 -1 4 -2] [ 2 2 1 -1 2 1 2 0 -2 1 -1 1 1 2 -2 0 1 -1 -2 2 -2 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 270. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 0 0 -2 1 -2 2 -2 -1 -1 2 -1 -1 2 -1 -1 -2 1 0] [ 2 4 -2 -1 0 0 -1 0 -2 2 0 0 0 1 -1 1 0 -1 0 0 1 1] [-2 -2 6 0 2 -2 2 2 1 -1 1 2 2 -3 -1 -1 -1 -1 2 1 1 -2] [-1 -1 0 4 1 -1 2 -2 0 -2 0 -1 -1 -1 2 -1 1 2 1 0 -2 -1] [ 0 0 2 1 4 -2 1 1 -1 1 0 0 0 -1 1 0 0 1 1 0 -1 0] [ 0 0 -2 -1 -2 4 -2 -1 1 -1 0 0 0 2 1 1 -1 1 -2 0 -1 0] [-2 -1 2 2 1 -2 4 -1 1 -1 1 1 1 -2 1 0 0 1 1 1 -1 -1] [ 1 0 2 -2 1 -1 -1 4 0 1 -1 1 1 0 -1 0 0 -1 1 -1 1 0] [-2 -2 1 0 -1 1 1 0 4 -1 1 1 1 0 0 1 -1 0 0 1 0 0] [ 2 2 -1 -2 1 -1 -1 1 -1 6 1 -1 -1 1 -2 1 -1 -2 -1 1 2 1] [-2 0 1 0 0 0 1 -1 1 1 4 0 1 -1 -1 1 -2 0 0 2 0 0] [-1 0 2 -1 0 0 1 1 1 -1 0 4 2 -1 -1 1 -1 0 0 0 1 0] [-1 0 2 -1 0 0 1 1 1 -1 1 2 4 -1 0 1 -1 -1 0 0 1 0] [ 2 1 -3 -1 -1 2 -2 0 0 1 -1 -1 -1 4 1 0 0 1 -1 -1 -1 1] [-1 -1 -1 2 1 1 1 -1 0 -2 -1 -1 0 1 6 0 0 4 0 0 -4 0] [-1 1 -1 -1 0 1 0 0 1 1 1 1 1 0 0 4 -1 0 -1 1 0 2] [ 2 0 -1 1 0 -1 0 0 -1 -1 -2 -1 -1 0 0 -1 4 0 0 -2 0 0] [-1 -1 -1 2 1 1 1 -1 0 -2 0 0 -1 1 4 0 0 6 0 0 -4 0] [-1 0 2 1 1 -2 1 1 0 -1 0 0 0 -1 0 -1 0 0 4 0 0 0] [-2 0 1 0 0 0 1 -1 1 1 2 0 0 -1 0 1 -2 0 0 4 1 0] [ 1 1 1 -2 -1 -1 -1 1 0 2 0 1 1 -1 -4 0 0 -4 0 1 6 0] [ 0 1 -2 -1 0 0 -1 0 0 1 0 0 0 1 0 2 0 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 271. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 2 1 -2 -1 0 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -2 -1] [-2 4 -2 0 -2 -1 2 1 0 0 1 1 0 1 0 0 0 -1 -1 1 1 2] [ 2 -2 4 1 2 0 -2 -1 1 1 0 -1 0 -1 0 0 -1 0 1 0 -1 -1] [ 1 0 1 4 -1 -1 0 0 -1 0 0 1 0 1 0 1 -2 0 1 0 -1 1] [ 2 -2 2 -1 6 2 -1 1 0 2 1 0 2 0 -2 1 2 -1 1 1 0 -2] [ 1 -1 0 -1 2 4 -1 1 -1 1 1 1 1 1 -1 0 1 -1 -1 1 0 -2] [-2 2 -2 0 -1 -1 4 2 -1 -1 1 1 -1 1 1 1 0 -1 0 1 0 1] [-1 1 -1 0 1 1 2 4 -2 1 2 2 1 2 -1 2 0 -2 0 2 0 -1] [ 0 0 1 -1 0 -1 -1 -2 4 0 0 -2 0 -2 0 -2 0 0 -1 0 0 1] [ 1 0 1 0 2 1 -1 1 0 4 0 0 2 0 -2 0 1 0 1 0 0 -1] [-1 1 0 0 1 1 1 2 0 0 4 1 1 2 0 1 0 -2 -1 2 0 0] [-1 1 -1 1 0 1 1 2 -2 0 1 4 0 2 -1 2 0 -2 -1 1 1 0] [ 1 0 0 0 2 1 -1 1 0 2 1 0 4 0 -1 0 1 -1 1 1 0 0] [-1 1 -1 1 0 1 1 2 -2 0 2 2 0 4 -1 2 0 -1 -1 1 1 0] [-1 0 0 0 -2 -1 1 -1 0 -2 0 -1 -1 -1 4 -1 -1 0 1 0 -1 1] [-1 0 0 1 1 0 1 2 -2 0 1 2 0 2 -1 4 1 -1 0 1 1 0] [-1 0 -1 -2 2 1 0 0 0 1 0 0 1 0 -1 1 4 0 0 0 2 0] [ 1 -1 0 0 -1 -1 -1 -2 0 0 -2 -2 -1 -1 0 -1 0 4 1 -2 0 0] [ 1 -1 1 1 1 -1 0 0 -1 1 -1 -1 1 -1 1 0 0 1 4 -1 -1 0] [-1 1 0 0 1 1 1 2 0 0 2 1 1 1 0 1 0 -2 -1 4 1 0] [-2 1 -1 -1 0 0 0 0 0 0 0 1 0 1 -1 1 2 0 -1 1 4 0] [-1 2 -1 1 -2 -2 1 -1 1 -1 0 0 0 0 1 0 0 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 272. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 -2 -1 0 0 -1 2 -1 0 -1 0 -2 0 1 -1 -1 0 0 1] [ 2 4 2 0 -1 -2 0 -1 1 1 -1 0 -2 0 0 -1 0 -2 -1 0 1 1] [ 2 2 4 -1 -2 0 0 1 -1 1 -2 1 -2 0 0 0 1 -2 -2 0 -1 1] [-1 0 -1 4 2 -2 -1 -2 -1 -2 0 -1 1 -1 2 0 -1 -1 0 -1 2 1] [-2 -1 -2 2 6 1 -1 1 1 -1 -1 0 2 -1 3 -1 1 0 2 -1 -1 -2] [-1 -2 0 -2 1 6 -1 4 0 1 -2 0 1 -1 1 -1 2 2 1 -1 -4 -1] [ 0 0 0 -1 -1 -1 4 -2 1 -1 1 2 -1 2 -2 2 -1 0 -1 2 1 0] [ 0 -1 1 -2 1 4 -2 6 0 1 -2 0 1 -1 2 -2 2 1 0 -1 -4 -1] [-1 1 -1 -1 1 0 1 0 4 0 1 0 -1 1 0 0 0 0 1 1 0 -1] [ 2 1 1 -2 -1 1 -1 1 0 4 -1 -1 -1 -1 -1 -1 2 0 1 -1 -1 -1] [-1 -1 -2 0 -1 -2 1 -2 1 -1 4 0 0 1 -1 1 -2 1 1 1 2 0] [ 0 0 1 -1 0 0 2 0 0 -1 0 4 0 2 0 1 0 0 -1 2 0 -1] [-1 -2 -2 1 2 1 -1 1 -1 -1 0 0 4 -1 1 -1 0 2 1 -1 -1 -1] [ 0 0 0 -1 -1 -1 2 -1 1 -1 1 2 -1 4 -1 2 0 0 -1 2 1 0] [-2 0 0 2 3 1 -2 2 0 -1 -1 0 1 -1 6 -1 0 -1 1 -1 0 0] [ 0 -1 0 0 -1 -1 2 -2 0 -1 1 1 -1 2 -1 4 -1 -1 0 2 2 1] [ 1 0 1 -1 1 2 -1 2 0 2 -2 0 0 0 0 -1 4 0 0 -1 -2 -1] [-1 -2 -2 -1 0 2 0 1 0 0 1 0 2 0 -1 -1 0 4 1 0 -1 -1] [-1 -1 -2 0 2 1 -1 0 1 1 1 -1 1 -1 1 0 0 1 4 -1 0 -1] [ 0 0 0 -1 -1 -1 2 -1 1 -1 1 2 -1 2 -1 2 -1 0 -1 4 2 0] [ 0 1 -1 2 -1 -4 1 -4 0 -1 2 0 -1 1 0 2 -2 -1 0 2 6 1] [ 1 1 1 1 -2 -1 0 -1 -1 -1 0 -1 -1 0 0 1 -1 -1 -1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 273. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -1 2 2 0 0 1 1 2 0 1 -1 -2 -1 2 2 -1 0] [ 1 4 0 1 2 0 2 0 1 1 2 1 0 1 2 -1 -2 -1 2 1 -1 0] [-1 0 4 1 1 0 -1 0 1 1 -2 1 0 1 1 2 2 0 -1 -2 -1 -1] [-1 1 1 4 0 1 -1 -1 1 -1 -1 -1 1 -1 0 -1 -1 1 0 0 1 0] [ 1 2 1 0 4 0 0 1 0 1 0 1 0 2 1 -1 0 -2 1 1 -1 -1] [-1 0 0 1 0 4 -2 -1 -1 -1 -1 0 -1 0 -1 -1 0 1 -1 -1 0 1] [ 2 2 -1 -1 0 -2 6 2 0 0 2 1 2 1 2 1 -3 -1 1 0 -1 -1] [ 2 0 0 -1 1 -1 2 4 0 -1 -1 0 2 1 1 0 0 0 1 1 0 -1] [ 0 1 1 1 0 -1 0 0 4 1 -1 1 0 -1 2 1 1 0 1 -1 -1 1] [ 0 1 1 -1 1 -1 0 -1 1 4 0 2 -1 0 1 1 1 -2 0 -1 -2 1] [ 1 2 -2 -1 0 -1 2 -1 -1 0 6 -1 -1 1 0 -1 -3 0 1 1 0 0] [ 1 1 1 -1 1 0 1 0 1 2 -1 4 0 0 1 1 0 -2 0 -1 -2 1] [ 2 0 0 1 0 -1 2 2 0 -1 -1 0 4 -1 1 0 -2 0 1 1 0 -1] [ 0 1 1 -1 2 0 1 1 -1 0 1 0 -1 4 1 0 0 0 0 0 0 -2] [ 1 2 1 0 1 -1 2 1 2 1 0 1 1 1 4 1 0 0 2 0 -1 -1] [-1 -1 2 -1 -1 -1 1 0 1 1 -1 1 0 0 1 4 2 0 -1 -3 -1 0] [-2 -2 2 -1 0 0 -3 0 1 1 -3 0 -2 0 0 2 6 0 -1 -1 0 0] [-1 -1 0 1 -2 1 -1 0 0 -2 0 -2 0 0 0 0 0 4 0 0 2 0] [ 2 2 -1 0 1 -1 1 1 1 0 1 0 1 0 2 -1 -1 0 4 2 0 0] [ 2 1 -2 0 1 -1 0 1 -1 -1 1 -1 1 0 0 -3 -1 0 2 6 2 -1] [-1 -1 -1 1 -1 0 -1 0 -1 -2 0 -2 0 0 -1 -1 0 2 0 2 4 -1] [ 0 0 -1 0 -1 1 -1 -1 1 1 0 1 -1 -2 -1 0 0 0 0 -1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 274. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -1 -1 1 -1 1 -2 -2 2 -1 -1 1 -1 -1 -2 1 -2 1] [-2 4 1 0 -1 2 1 -2 1 0 2 2 -2 0 -1 -1 0 0 2 0 0 0] [ 0 1 4 0 1 2 1 0 -1 -1 1 0 0 -2 -2 1 -1 -1 1 1 0 -1] [ 0 0 0 4 -1 0 2 2 -1 0 0 0 0 -2 -1 -1 1 1 -1 -1 0 -2] [ 1 -1 1 -1 4 1 0 0 -1 -1 -1 0 1 1 0 1 -2 0 0 0 -1 1] [-1 2 2 0 1 4 2 -1 -1 0 1 1 -1 0 -2 1 0 0 1 0 0 0] [-1 1 1 2 0 2 4 1 -1 0 0 1 0 -1 -2 -1 0 0 0 0 0 -1] [ 1 -2 0 2 0 -1 1 4 -1 -1 -1 -1 1 -2 -1 0 1 0 -1 0 0 -1] [-1 1 -1 -1 -1 -1 -1 -1 4 1 1 1 -2 2 0 -2 -1 1 1 -1 0 0] [ 1 0 -1 0 -1 0 0 -1 1 4 -1 0 0 1 -1 -1 0 1 0 -1 -1 0] [-2 2 1 0 -1 1 0 -1 1 -1 4 0 -1 -1 0 0 0 1 1 -1 1 -1] [-2 2 0 0 0 1 1 -1 1 0 0 4 -2 2 -1 -1 0 0 1 0 0 0] [ 2 -2 0 0 1 -1 0 1 -2 0 -1 -2 4 -1 1 1 -1 0 -1 0 0 0] [-1 0 -2 -2 1 0 -1 -2 2 1 -1 2 -1 6 2 -1 -1 1 1 -1 1 2] [-1 -1 -2 -1 0 -2 -2 -1 0 -1 0 -1 1 2 6 0 0 0 0 -1 2 1] [ 1 -1 1 -1 1 1 -1 0 -2 -1 0 -1 1 -1 0 4 1 -1 -1 1 0 1] [-1 0 -1 1 -2 0 0 1 -1 0 0 0 -1 -1 0 1 4 0 0 0 1 0] [-1 0 -1 1 0 0 0 0 1 1 1 0 0 1 0 -1 0 4 1 -2 1 -1] [-2 2 1 -1 0 1 0 -1 1 0 1 1 -1 1 0 -1 0 1 4 -1 1 0] [ 1 0 1 -1 0 0 0 0 -1 -1 -1 0 0 -1 -1 1 0 -2 -1 4 0 1] [-2 0 0 0 -1 0 0 0 0 -1 1 0 0 1 2 0 1 1 1 0 4 -1] [ 1 0 -1 -2 1 0 -1 -1 0 0 -1 0 0 2 1 1 0 -1 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 275. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 -2 1 0 -2 0 -1 -2 -1 -1 1 0 1 1 0 -2 -1] [ 2 4 -2 -1 -1 2 0 1 -1 -2 1 -2 -1 0 0 1 1 2 -1 -1 0 0] [-2 -2 4 1 2 -2 1 -2 0 2 -1 2 2 1 1 0 0 0 0 -1 2 0] [ 0 -1 1 4 -1 -2 -2 -2 0 1 -2 2 -1 1 -1 0 0 1 0 1 -1 0] [-1 -1 2 -1 4 -1 2 -1 0 1 1 1 1 -1 2 0 0 0 0 -2 1 0] [ 1 2 -2 -2 -1 6 2 1 -2 -2 2 -1 0 1 0 2 2 -1 1 -2 0 2] [-2 0 1 -2 2 2 6 1 -1 0 2 -1 1 1 2 1 1 -2 -1 -3 1 1] [ 1 1 -2 -2 -1 1 1 6 -1 -2 2 -2 0 0 -1 1 1 -2 0 2 -2 -2] [ 0 -1 0 0 0 -2 -1 -1 4 0 0 -1 0 -1 -1 -1 -1 -1 -1 1 1 -1] [-2 -2 2 1 1 -2 0 -2 0 4 -2 2 1 1 0 -2 0 0 0 0 0 0] [ 0 1 -1 -2 1 2 2 2 0 -2 4 -2 1 -1 1 1 1 -1 0 -1 1 0] [-1 -2 2 2 1 -1 -1 -2 -1 2 -2 4 0 1 0 0 0 0 1 0 0 1] [-2 -1 2 -1 1 0 1 0 0 1 1 0 4 0 0 0 1 -1 0 0 2 0] [-1 0 1 1 -1 1 1 0 -1 1 -1 1 0 4 -1 1 2 -1 0 0 0 0] [-1 0 1 -1 2 0 2 -1 -1 0 1 0 0 -1 4 0 -1 1 0 -2 1 1] [ 1 1 0 0 0 2 1 1 -1 -2 1 0 0 1 0 4 1 0 1 0 0 0] [ 0 1 0 0 0 2 1 1 -1 0 1 0 1 2 -1 1 4 -1 0 0 0 0] [ 1 2 0 1 0 -1 -2 -2 -1 0 -1 0 -1 -1 1 0 -1 6 -1 -1 1 1] [ 1 -1 0 0 0 1 -1 0 -1 0 0 1 0 0 0 1 0 -1 4 0 -1 0] [ 0 -1 -1 1 -2 -2 -3 2 1 0 -1 0 0 0 -2 0 0 -1 0 6 -1 -2] [-2 0 2 -1 1 0 1 -2 1 0 1 0 2 0 1 0 0 1 -1 -1 6 1] [-1 0 0 0 0 2 1 -2 -1 0 0 1 0 0 1 0 0 1 0 -2 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 276. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -1 -1 2 -2 -1 0 -1 1 -1 -2 -2 -1 -1 2 -1 -2 2 1] [-2 4 0 -1 1 -1 -1 1 1 1 2 1 0 1 1 1 0 -2 1 1 -2 1] [ 0 0 4 -2 -2 0 2 2 1 2 1 2 1 2 -1 -1 1 -1 -1 2 -1 1] [ 1 -1 -2 4 2 1 -1 -1 0 -1 -1 -2 0 -1 -1 0 -2 0 -1 -1 0 -1] [-1 1 -2 2 4 0 -1 -1 1 0 1 -2 -1 -1 0 0 -1 -1 1 -1 0 -1] [-1 -1 0 1 0 4 -1 0 1 0 -1 -2 1 0 1 1 -1 0 0 0 0 0] [ 2 -1 2 -1 -1 -1 6 -2 1 0 2 3 1 -2 -3 0 0 1 -1 -2 2 1] [-2 1 2 -1 -1 0 -2 6 1 1 0 -1 0 4 2 0 1 -2 -1 4 -2 0] [-1 1 1 0 1 1 1 1 4 0 1 0 1 0 -1 0 -1 -1 -1 0 -1 0] [ 0 1 2 -1 0 0 0 1 0 4 1 0 -1 1 1 -1 1 -1 1 1 0 2] [-1 2 1 -1 1 -1 2 0 1 1 4 2 0 0 -1 0 0 -1 1 0 0 1] [ 1 1 2 -2 -2 -2 3 -1 0 0 2 6 1 -1 -3 0 0 0 0 -1 -1 1] [-1 0 1 0 -1 1 1 0 1 -1 0 1 4 0 -1 0 0 0 -1 0 -2 -1] [-2 1 2 -1 -1 0 -2 4 0 1 0 -1 0 6 2 0 2 -2 -1 4 -2 0] [-2 1 -1 -1 0 1 -3 2 -1 1 -1 -3 -1 2 6 2 1 -1 2 2 1 1] [-1 1 -1 0 0 1 0 0 0 -1 0 0 0 0 2 4 -1 -1 1 0 1 1] [-1 0 1 -2 -1 -1 0 1 -1 1 0 0 0 2 1 -1 4 0 0 1 0 0] [ 2 -2 -1 0 -1 0 1 -2 -1 -1 -1 0 0 -2 -1 -1 0 4 0 -2 2 0] [-1 1 -1 -1 1 0 -1 -1 -1 1 1 0 -1 -1 2 1 0 0 4 -1 1 1] [-2 1 2 -1 -1 0 -2 4 0 1 0 -1 0 4 2 0 1 -2 -1 6 -1 0] [ 2 -2 -1 0 0 0 2 -2 -1 0 0 -1 -2 -2 1 1 0 2 1 -1 6 1] [ 1 1 1 -1 -1 0 1 0 0 2 1 1 -1 0 1 1 0 0 1 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 277. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 1 -2 0 0 2 1 1 -2 0 1 -1 -1 -1 1 -1 1 -1 -1] [ 1 4 0 -2 2 -1 0 -1 0 2 0 -1 1 -1 -1 0 1 0 0 2 1 -2] [-2 0 4 0 1 2 0 1 -1 1 0 2 1 0 0 0 0 0 0 1 2 -1] [-1 -2 0 4 -2 1 1 1 0 -2 1 0 0 1 1 -1 0 0 -1 -2 1 0] [ 1 2 1 -2 4 -1 0 0 1 2 -1 0 0 0 0 0 0 0 0 2 0 -1] [-2 -1 2 1 -1 4 -1 0 0 -1 1 1 0 -1 0 1 -1 1 -1 -1 0 1] [ 0 0 0 1 0 -1 4 -1 0 0 -1 1 0 1 -1 -2 0 1 1 0 2 -2] [ 0 -1 1 1 0 0 -1 4 0 0 1 -1 1 1 1 0 -1 0 -1 0 0 1] [ 2 0 -1 0 1 0 0 0 4 0 0 -2 0 1 -1 0 -2 1 -2 0 -1 0] [ 1 2 1 -2 2 -1 0 0 0 4 -1 0 1 -1 0 0 0 0 0 2 0 -1] [ 1 0 0 1 -1 1 -1 1 0 -1 4 -1 1 0 -1 -1 0 1 -1 -1 1 -1] [-2 -1 2 0 0 1 1 -1 -2 0 -1 6 1 -1 0 1 2 1 1 0 2 1] [ 0 1 1 0 0 0 0 1 0 1 1 1 4 -1 0 0 1 0 0 1 2 0] [ 1 -1 0 1 0 -1 1 1 1 -1 0 -1 -1 4 -1 -1 -1 0 -1 0 1 -1] [-1 -1 0 1 0 0 -1 1 -1 0 -1 0 0 -1 4 0 0 -2 1 0 -2 2] [-1 0 0 -1 0 1 -2 0 0 0 -1 1 0 -1 0 4 1 0 -1 0 -1 3] [-1 1 0 0 0 -1 0 -1 -2 0 0 2 1 -1 0 1 4 -1 1 0 2 0] [ 1 0 0 0 0 1 1 0 1 0 1 1 0 0 -2 0 -1 4 -1 0 1 0] [-1 0 0 -1 0 -1 1 -1 -2 0 -1 1 0 -1 1 -1 1 -1 4 0 0 0] [ 1 2 1 -2 2 -1 0 0 0 2 -1 0 1 0 0 0 0 0 0 4 1 -1] [-1 1 2 1 0 0 2 0 -1 0 1 2 2 1 -2 -1 2 1 0 1 6 -3] [-1 -2 -1 0 -1 1 -2 1 0 -1 -1 1 0 -1 2 3 0 0 0 -1 -3 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = true LatDB = - 278. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 1 2 -2 2 -1 0 0 2 1 2 -1 -1 -2 2 1 2 1] [ 2 4 -1 2 0 2 0 -1 2 0 0 1 1 2 0 0 1 0 0 1 1 1] [-1 -1 6 -3 1 1 -3 1 -1 -1 -1 -3 1 0 -2 -1 -1 -1 1 -3 -2 1] [ 2 2 -3 6 -2 1 0 -2 2 -1 2 3 1 0 1 -1 2 -1 1 3 1 1] [ 0 0 1 -2 4 0 -1 1 0 -1 -2 0 0 -1 1 -1 -1 0 -1 -2 0 0] [ 1 2 1 1 0 4 0 -1 0 -1 0 -1 1 1 -1 0 0 -1 1 1 0 1] [ 2 0 -3 0 -1 0 6 -2 0 0 1 -1 0 1 2 1 -2 -1 1 1 2 0] [-2 -1 1 -2 1 -1 -2 4 -2 1 -1 1 -2 0 -2 1 0 2 -1 0 0 0] [ 2 2 -1 2 0 0 0 -2 4 -1 0 0 2 1 1 -1 1 -1 0 0 0 1] [-1 0 -1 -1 -1 -1 0 1 -1 4 0 1 -1 1 -1 1 1 2 -1 1 0 -1] [ 0 0 -1 2 -2 0 1 -1 0 0 4 0 -1 0 -1 0 0 0 0 2 0 1] [ 0 1 -3 3 0 -1 -1 1 0 1 0 6 -1 0 0 -1 2 2 -1 2 1 -1] [ 2 1 1 1 0 1 0 -2 2 -1 -1 -1 4 0 1 -1 0 -2 1 -1 0 1] [ 1 2 0 0 -1 1 1 0 1 1 0 0 0 4 -1 0 0 0 1 1 1 1] [ 2 0 -2 1 1 -1 2 -2 1 -1 -1 0 1 -1 6 0 0 -2 1 0 1 -1] [-1 0 -1 -1 -1 0 1 1 -1 1 0 -1 -1 0 0 4 1 1 -1 1 0 0] [-1 1 -1 2 -1 0 -2 0 1 1 0 2 0 0 0 1 4 1 -1 1 -1 0] [-2 0 -1 -1 0 -1 -1 2 -1 2 0 2 -2 0 -2 1 1 4 -2 1 0 -1] [ 2 0 1 1 -1 1 1 -1 0 -1 0 -1 1 1 1 -1 -1 -2 4 0 1 1] [ 1 1 -3 3 -2 1 1 0 0 1 2 2 -1 1 0 1 1 1 0 6 2 0] [ 2 1 -2 1 0 0 2 0 0 0 0 1 0 1 1 0 -1 0 1 2 4 0] [ 1 1 1 1 0 1 0 0 1 -1 1 -1 1 1 -1 0 0 -1 1 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 279. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 -1 2 2 1 1 1 2 -1 0 1 1 1 0 1 1 -1 0 -1] [ 2 4 1 0 -1 1 2 2 0 1 1 0 1 1 1 2 -1 -1 -1 1 0 0] [ 2 1 4 2 0 0 2 0 -1 0 1 0 0 2 0 1 -1 0 1 0 1 1] [ 2 0 2 6 -2 2 2 1 1 2 3 -1 1 2 0 2 2 -1 0 1 2 -1] [-1 -1 0 -2 4 -2 0 -1 -2 -2 0 1 0 0 0 0 -1 2 0 -2 -1 0] [ 2 1 0 2 -2 4 1 2 2 2 2 0 0 0 0 1 0 -1 1 1 0 -2] [ 2 2 2 2 0 1 4 2 -1 1 2 0 1 2 1 2 -1 0 0 0 1 0] [ 1 2 0 1 -1 2 2 4 1 1 1 0 0 0 0 2 0 -2 -1 2 0 -1] [ 1 0 -1 1 -2 2 -1 1 4 1 1 -1 -1 -1 -1 -1 2 0 0 0 0 -1] [ 1 1 0 2 -2 2 1 1 1 4 1 -1 0 1 1 0 0 -2 0 2 0 -1] [ 2 1 1 3 0 2 2 1 1 1 6 -1 2 1 1 3 1 0 -1 0 0 -2] [-1 0 0 -1 1 0 0 0 -1 -1 -1 4 0 -1 0 1 -1 -1 0 0 1 1] [ 0 1 0 1 0 0 1 0 -1 0 2 0 4 0 0 2 0 0 -1 0 1 0] [ 1 1 2 2 0 0 2 0 -1 1 1 -1 0 4 0 0 -1 0 0 0 0 0] [ 1 1 0 0 0 0 1 0 -1 1 1 0 0 0 4 2 0 -1 -1 1 0 0] [ 1 2 1 2 0 1 2 2 -1 0 3 1 2 0 2 6 1 -2 -2 2 1 0] [ 0 -1 -1 2 -1 0 -1 0 2 0 1 -1 0 -1 0 1 4 0 -1 0 1 0] [ 1 -1 0 -1 2 -1 0 -2 0 -2 0 -1 0 0 -1 -2 0 6 2 -4 0 0] [ 1 -1 1 0 0 1 0 -1 0 0 -1 0 -1 0 -1 -2 -1 2 4 -2 0 0] [-1 1 0 1 -2 1 0 2 0 2 0 0 0 0 1 2 0 -4 -2 6 1 0] [ 0 0 1 2 -1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 4 1] [-1 0 1 -1 0 -2 0 -1 -1 -1 -2 1 0 0 0 0 0 0 0 0 1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 280. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 -1 2 -1 2 1 1 2 -1 2 -1 1 0 0 -1 0 -1 1] [ 1 4 0 -2 -1 -1 -1 1 0 1 2 1 -2 0 -2 -1 1 1 -1 -1 1 -1] [-1 0 4 -1 2 2 -1 0 0 -2 1 -1 0 1 0 1 -1 -1 -1 1 2 0] [-1 -2 -1 4 -1 0 0 -1 -1 1 -2 0 0 -2 2 1 -1 0 0 0 -1 -1] [-1 -1 2 -1 4 2 0 1 0 -1 0 -2 1 2 0 1 0 -1 0 1 2 0] [-1 -1 2 0 2 4 -1 1 0 0 0 0 1 0 1 2 -1 -1 1 1 0 -1] [ 2 -1 -1 0 0 -1 4 -2 2 -1 0 0 0 1 0 0 1 -1 0 1 -1 2] [-1 1 0 -1 1 1 -2 4 0 0 0 0 0 0 -1 0 1 0 1 0 1 -1] [ 2 0 0 -1 0 0 2 0 4 -1 0 1 0 1 -1 0 1 0 1 0 -1 1] [ 1 1 -2 1 -1 0 -1 0 -1 6 -1 2 0 -1 0 1 -1 0 -1 0 -2 -2] [ 1 2 1 -2 0 0 0 0 0 -1 4 1 -2 2 -1 0 0 1 -1 -1 2 0] [ 2 1 -1 0 -2 0 0 0 1 2 1 4 -1 0 0 1 -1 1 0 -1 -1 -1] [-1 -2 0 0 1 1 0 0 0 0 -2 -1 4 -1 1 0 -1 -1 1 1 -2 1] [ 2 0 1 -2 2 0 1 0 1 -1 2 0 -1 6 0 1 -1 0 -1 0 3 1] [-1 -2 0 2 0 1 0 -1 -1 0 -1 0 1 0 4 1 -2 -1 0 0 0 0] [ 1 -1 1 1 1 2 0 0 0 1 0 1 0 1 1 4 -1 -1 -1 1 0 0] [ 0 1 -1 -1 0 -1 1 1 1 -1 0 -1 -1 -1 -2 -1 4 0 1 0 0 1] [ 0 1 -1 0 -1 -1 -1 0 0 0 1 1 -1 0 -1 -1 0 4 1 -2 1 -1] [-1 -1 -1 0 0 1 0 1 1 -1 -1 0 1 -1 0 -1 1 1 4 -1 -1 0] [ 0 -1 1 0 1 1 1 0 0 0 -1 -1 1 0 0 1 0 -2 -1 4 0 1] [-1 1 2 -1 2 0 -1 1 -1 -2 2 -1 -2 3 0 0 0 1 -1 0 6 -1] [ 1 -1 0 -1 0 -1 2 -1 1 -2 0 -1 1 1 0 0 1 -1 0 1 -1 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 281. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 2 1 -2 -1 -1 -1 -1 -2 0 -1 -1 0 2 2 2 -2 0 0] [-2 4 1 0 -2 -1 2 1 1 2 1 2 -1 0 1 0 -1 -2 -2 2 1 1] [ 0 1 4 1 1 1 1 1 2 0 -1 -1 -2 -1 2 1 0 1 -2 -1 2 1] [ 1 0 1 4 -1 -1 0 1 0 1 -2 1 0 -2 1 -1 -1 1 0 -1 0 -1] [ 2 -2 1 -1 6 2 -1 -2 1 -2 -1 -4 1 0 0 0 1 3 2 -3 -1 2] [ 1 -1 1 -1 2 4 -1 -1 1 -2 0 -3 -1 -1 1 2 2 1 -1 -1 1 0] [-2 2 1 0 -1 -1 4 0 2 2 0 1 0 1 1 1 -2 0 -2 0 0 0] [-1 1 1 1 -2 -1 0 4 0 1 0 1 -1 0 0 0 -1 0 -2 0 1 0] [-1 1 2 0 1 1 2 0 4 1 0 -1 0 -1 2 2 -1 0 -1 0 0 0] [-1 2 0 1 -2 -2 2 1 1 4 1 2 0 0 0 0 -1 -1 0 1 0 0] [-1 1 -1 -2 -1 0 0 0 0 1 4 0 0 1 -1 0 1 -1 1 1 0 0] [-2 2 -1 1 -4 -3 1 1 -1 2 0 6 -1 1 0 -1 -2 -2 -1 2 0 -1] [ 0 -1 -2 0 1 -1 0 -1 0 0 0 -1 4 0 -1 -1 -1 0 2 0 -2 0] [-1 0 -1 -2 0 -1 1 0 -1 0 1 1 0 4 -1 0 -1 1 0 -1 0 0] [-1 1 2 1 0 1 1 0 2 0 -1 0 -1 -1 4 1 -1 -1 -2 0 1 0] [ 0 0 1 -1 0 2 1 0 2 0 0 -1 -1 0 1 4 1 0 -2 0 1 0] [ 2 -1 0 -1 1 2 -2 -1 -1 -1 1 -2 -1 -1 -1 1 4 0 1 0 1 1] [ 2 -2 1 1 3 1 0 0 0 -1 -1 -2 0 1 -1 0 0 6 1 -4 0 0] [ 2 -2 -2 0 2 -1 -2 -2 -1 0 1 -1 2 0 -2 -2 1 1 6 -1 -2 0] [-2 2 -1 -1 -3 -1 0 0 0 1 1 2 0 -1 0 0 0 -4 -1 6 1 0] [ 0 1 2 0 -1 1 0 1 0 0 0 0 -2 0 1 1 1 0 -2 1 4 0] [ 0 1 1 -1 2 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 282. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -2 1 2 2 -1 -1 -2 1 1 -1 0 1 0 0 0 -2 -2 1 -1] [ 1 4 0 -2 0 0 0 -2 1 1 1 2 -2 1 1 -1 -1 -1 -1 -2 -1 -1] [ 1 0 4 -2 2 0 0 -1 -2 -1 0 0 0 0 0 0 0 0 -2 1 2 1] [-2 -2 -2 6 -2 1 1 2 1 2 -2 -1 2 -2 -2 -1 2 2 2 0 -2 1] [ 1 0 2 -2 4 -1 0 0 -1 -1 1 0 -1 0 0 1 0 1 -1 0 2 -1] [ 2 0 0 1 -1 4 1 -1 -1 -1 0 0 1 0 0 0 0 0 -1 -2 0 1] [ 2 0 0 1 0 1 4 1 0 -1 -1 1 -1 -2 0 -1 2 1 -1 -2 -1 0] [-1 -2 -1 2 0 -1 1 4 0 0 -1 0 1 -1 0 1 2 1 2 0 -1 0] [-1 1 -2 1 -1 -1 0 0 4 1 0 1 -1 0 -1 0 -1 0 1 0 -1 -1] [-2 1 -1 2 -1 -1 -1 0 1 6 1 -1 0 1 -2 -1 -1 -1 2 -1 0 0] [ 1 1 0 -2 1 0 -1 -1 0 1 4 0 -1 2 1 0 -2 -2 0 -1 2 -1] [ 1 2 0 -1 0 0 1 0 1 -1 0 4 -2 -1 1 0 0 0 -1 -2 -2 -1] [-1 -2 0 2 -1 1 -1 1 -1 0 -1 -2 4 0 0 0 1 1 1 2 1 2] [ 0 1 0 -2 0 0 -2 -1 0 1 2 -1 0 4 0 1 -2 -2 0 0 2 0] [ 1 1 0 -2 0 0 0 0 -1 -2 1 1 0 0 4 -1 0 -1 0 0 -1 0] [ 0 -1 0 -1 1 0 -1 1 0 -1 0 0 0 1 -1 4 0 0 0 0 1 0] [ 0 -1 0 2 0 0 2 2 -1 -1 -2 0 1 -2 0 0 4 2 0 0 -1 1] [ 0 -1 0 2 1 0 1 1 0 -1 -2 0 1 -2 -1 0 2 4 0 1 0 0] [-2 -1 -2 2 -1 -1 -1 2 1 2 0 -1 1 0 0 0 0 0 4 0 -1 0] [-2 -2 1 0 0 -2 -2 0 0 -1 -1 -2 2 0 0 0 0 1 0 6 2 1] [ 1 -1 2 -2 2 0 -1 -1 -1 0 2 -2 1 2 -1 1 -1 0 -1 2 6 0] [-1 -1 1 1 -1 1 0 0 -1 0 -1 -1 2 0 0 0 1 0 0 1 0 4] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 283. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 -1 -2 0 -1 0 -2 -1 -1 1 1 2 1 1 0 0 1 1 1] [-2 4 -1 -1 1 2 -1 1 1 2 1 0 -1 0 0 0 -1 -1 -1 0 -1 -2] [ 1 -1 4 -1 0 0 -1 0 1 0 0 1 0 1 2 -1 0 1 0 -1 2 -1] [ 2 -1 -1 6 1 -1 -1 1 -1 -1 1 -3 0 0 2 -1 1 -1 -1 1 2 -1] [-1 1 0 1 4 0 0 0 0 0 0 0 0 1 -1 -2 1 1 0 -1 1 -2] [-2 2 0 -1 0 4 0 2 0 2 1 1 0 -1 0 0 0 0 0 0 -1 -1] [ 0 -1 -1 -1 0 0 4 0 0 -1 -2 1 2 -1 -2 1 1 1 2 1 -1 2] [-1 1 0 1 0 2 0 4 0 1 2 -1 0 -2 0 0 0 0 0 0 1 -2] [ 0 1 1 -1 0 0 0 0 4 0 0 -1 1 0 2 0 -1 -1 1 -1 -1 -2] [-2 2 0 -1 0 2 -1 1 0 4 2 1 -2 0 0 0 0 0 0 0 -1 -1] [-1 1 0 1 0 1 -2 2 0 2 4 -1 -1 0 0 0 0 0 0 0 1 -2] [-1 0 1 -3 0 1 1 -1 -1 1 -1 4 0 1 -1 0 0 2 1 0 -1 1] [ 1 -1 0 0 0 0 2 0 1 -2 -1 0 4 -1 0 1 0 0 2 1 0 1] [ 1 0 1 0 1 -1 -1 -2 0 0 0 1 -1 4 1 0 0 1 0 0 0 0] [ 2 0 2 2 -1 0 -2 0 2 0 0 -1 0 1 6 0 -1 -1 -1 0 0 -2] [ 1 0 -1 -1 -2 0 1 0 0 0 0 0 1 0 0 4 0 0 1 2 -1 2] [ 1 -1 0 1 1 0 1 0 -1 0 0 0 0 0 -1 0 4 2 0 0 1 0] [ 0 -1 1 -1 1 0 1 0 -1 0 0 2 0 1 -1 0 2 4 1 0 1 0] [ 0 -1 0 -1 0 0 2 0 1 0 0 1 2 0 -1 1 0 1 4 0 -1 1] [ 1 0 -1 1 -1 0 1 0 -1 0 0 0 1 0 0 2 0 0 0 4 1 2] [ 1 -1 2 2 1 -1 -1 1 -1 -1 1 -1 0 0 0 -1 1 1 -1 1 6 -1] [ 1 -2 -1 -1 -2 -1 2 -2 -2 -1 -2 1 1 0 -2 2 0 0 1 2 -1 6] |Aut| = [ <2, 5>, <3, 1> ] Modular = false LatDB = - 284. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 2 -2 -1 0 -2 1 -1 1 -1 0 0 1 0 2 0 1 0 -1 0] [-2 6 2 -2 3 3 2 1 1 0 0 2 0 2 -2 -2 -1 2 0 -2 -1 1] [ 0 2 4 -1 1 2 0 1 1 1 0 1 1 2 -1 -1 0 0 1 0 -2 1] [ 2 -2 -1 4 -2 -1 -1 -2 1 -1 1 0 0 -1 2 1 1 0 0 0 1 1] [-2 3 1 -2 4 2 0 2 -1 0 0 1 -1 1 -2 -1 -2 0 -1 0 -1 0] [-1 3 2 -1 2 4 0 1 1 0 0 2 1 2 -1 -2 -1 0 1 0 -2 0] [ 0 2 0 -1 0 0 4 0 0 0 1 0 1 0 0 0 0 1 0 -1 1 -1] [-2 1 1 -2 2 1 0 4 -2 0 0 1 0 1 -2 0 -2 0 -1 0 0 0] [ 1 1 1 1 -1 1 0 -2 4 0 0 1 0 1 1 0 1 0 2 0 0 0] [-1 0 1 -1 0 0 0 0 0 4 0 0 1 1 -1 1 -1 -1 1 1 1 0] [ 1 0 0 1 0 0 1 0 0 0 4 -1 0 1 0 0 1 1 1 -1 0 0] [-1 2 1 0 1 2 0 1 1 0 -1 4 0 1 -1 0 -2 0 0 0 1 0] [ 0 0 1 0 -1 1 1 0 0 1 0 0 4 0 0 0 0 -1 0 0 0 0] [ 0 2 2 -1 1 2 0 1 1 1 1 1 0 4 -1 -1 0 0 2 0 -1 1] [ 1 -2 -1 2 -2 -1 0 -2 1 -1 0 -1 0 -1 4 0 1 -1 1 1 0 0] [ 0 -2 -1 1 -1 -2 0 0 0 1 0 0 0 -1 0 4 0 -1 -1 1 3 0] [ 2 -1 0 1 -2 -1 0 -2 1 -1 1 -2 0 0 1 0 4 1 1 -1 -1 1] [ 0 2 0 0 0 0 1 0 0 -1 1 0 -1 0 -1 -1 1 4 0 -2 0 1] [ 1 0 1 0 -1 1 0 -1 2 1 1 0 0 2 1 -1 1 0 4 0 -1 0] [ 0 -2 0 0 0 0 -1 0 0 1 -1 0 0 0 1 1 -1 -2 0 4 1 -1] [-1 -1 -2 1 -1 -2 1 0 0 1 0 1 0 -1 0 3 -1 0 -1 1 6 -1] [ 0 1 1 1 0 0 -1 0 0 0 0 0 0 1 0 0 1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 285. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 0 1 0 0 1 -1 1 0 1 1 1 -1 0 -1 0 1 1 -1] [ 0 4 -2 0 2 2 0 0 -1 1 1 0 -1 1 2 0 -1 0 -2 0 1 0] [-1 -2 6 2 -3 -1 0 -2 -1 0 -2 -2 -1 0 1 -2 1 0 3 0 0 0] [ 0 0 2 4 -1 -1 0 -2 -1 0 -1 -2 -1 1 2 0 -1 1 0 -1 -1 -1] [ 0 2 -3 -1 6 -1 2 1 -2 2 1 1 -2 2 -1 2 -2 1 -2 -1 0 2] [ 1 2 -1 -1 -1 6 0 -1 0 -2 1 -1 0 -1 3 -1 -1 -2 -1 2 1 0] [ 0 0 0 0 2 0 4 -1 -2 -1 -1 -1 -2 1 1 1 0 1 -1 -1 1 1] [ 0 0 -2 -2 1 -1 -1 4 2 1 0 2 1 -1 -2 0 0 -1 0 1 0 0] [ 1 -1 -1 -1 -2 0 -2 2 4 -1 0 1 2 -1 -1 -1 1 -1 1 1 0 -1] [-1 1 0 0 2 -2 -1 1 -1 4 1 1 -1 1 -1 0 -1 1 0 -1 -1 0] [ 1 1 -2 -1 1 1 -1 0 0 1 4 0 0 0 0 1 0 0 -1 0 -1 -1] [ 0 0 -2 -2 1 -1 -1 2 1 1 0 4 2 -1 -2 0 0 -1 0 1 0 0] [ 1 -1 -1 -1 -2 0 -2 1 2 -1 0 2 4 -1 -1 -1 1 -1 1 1 0 -1] [ 1 1 0 1 2 -1 1 -1 -1 1 0 -1 -1 4 1 0 -1 2 0 -2 1 0] [ 1 2 1 2 -1 3 1 -2 -1 -1 0 -2 -1 1 6 -1 -1 -1 -1 0 1 -1] [-1 0 -2 0 2 -1 1 0 -1 0 1 0 -1 0 -1 4 0 1 -2 -1 -1 1] [ 0 -1 1 -1 -2 -1 0 0 1 -1 0 0 1 -1 -1 0 4 0 1 0 1 0] [-1 0 0 1 1 -2 1 -1 -1 1 0 -1 -1 2 -1 1 0 4 0 -2 0 0] [ 0 -2 3 0 -2 -1 -1 0 1 0 -1 0 1 0 -1 -2 1 0 4 0 0 0] [ 1 0 0 -1 -1 2 -1 1 1 -1 0 1 1 -2 0 -1 0 -2 0 4 1 0] [ 1 1 0 -1 0 1 1 0 0 -1 -1 0 0 1 1 -1 1 0 0 1 4 0] [-1 0 0 -1 2 0 1 0 -1 0 -1 0 -1 0 -1 1 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 286. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 2 -1 -2 -1 -1 1 1 -1 0 1 0 0 2 2 2 0 -1 1 1] [-2 4 2 -2 2 2 1 -1 -2 0 1 -1 -1 0 -1 -1 -1 -2 0 1 -1 0] [-1 2 4 -1 0 1 -1 -1 0 -1 -1 1 0 1 -2 -2 -2 -2 -1 -1 1 1] [ 2 -2 -1 4 -1 -2 -1 -1 1 -1 -2 1 1 1 1 2 1 2 -1 -2 0 1] [-1 2 0 -1 4 0 0 0 -2 1 2 -2 0 -1 0 -1 1 -1 -1 2 -2 1] [-2 2 1 -2 0 4 2 0 0 -1 1 0 -2 0 -1 -1 -2 -2 1 1 -1 -1] [-1 1 -1 -1 0 2 4 0 0 1 2 0 -1 0 1 1 -1 -1 2 2 -2 -2] [-1 -1 -1 -1 0 0 0 4 1 1 2 0 0 -1 0 -2 0 0 1 2 -1 0] [ 1 -2 0 1 -2 0 0 1 6 -2 -2 2 2 2 0 -2 -1 0 0 -2 2 0] [ 1 0 -1 -1 1 -1 1 1 -2 6 2 -2 0 -1 0 1 2 1 2 2 -1 0] [-1 1 -1 -2 2 1 2 2 -2 2 6 -2 -1 -3 1 0 0 -1 1 4 -3 0] [ 0 -1 1 1 -2 0 0 0 2 -2 -2 4 1 1 -1 -1 -1 0 0 -2 0 -1] [ 1 -1 0 1 0 -2 -1 0 2 0 -1 1 4 0 1 -1 1 0 0 -1 1 1] [ 0 0 1 1 -1 0 0 -1 2 -1 -3 1 0 4 -1 0 -1 0 -1 -2 2 0] [ 0 -1 -2 1 0 -1 1 0 0 0 1 -1 1 -1 4 1 0 0 1 1 -1 0] [ 2 -1 -2 2 -1 -1 1 -2 -2 1 0 -1 -1 0 1 6 2 2 0 0 0 0] [ 2 -1 -2 1 1 -2 -1 0 -1 2 0 -1 1 -1 0 2 4 2 0 0 0 1] [ 2 -2 -2 2 -1 -2 -1 0 0 1 -1 0 0 0 0 2 2 4 0 -1 1 0] [ 0 0 -1 -1 -1 1 2 1 0 2 1 0 0 -1 1 0 0 0 4 1 -1 -1] [-1 1 -1 -2 2 1 2 2 -2 2 4 -2 -1 -2 1 0 0 -1 1 6 -2 0] [ 1 -1 1 0 -2 -1 -2 -1 2 -1 -3 0 1 2 -1 0 0 1 -1 -2 6 0] [ 1 0 1 1 1 -1 -2 0 0 0 0 -1 1 0 0 0 1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 287. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 -2 -2 0 -1 -1 -2 1 2 -1 0 -2 2 0 -2 2 2] [ 1 4 0 0 0 0 0 0 0 1 1 -2 0 1 1 1 0 0 1 0 -1 1] [ 2 0 4 -2 0 -1 -2 0 -1 0 -2 -2 1 1 -1 0 -2 2 -1 -2 0 1] [-2 0 -2 4 -1 2 2 2 -1 0 2 1 -1 -2 2 -1 2 -2 1 2 -1 0] [ 1 0 0 -1 4 1 -1 -1 -1 1 0 1 2 1 -1 1 1 1 1 -1 2 1] [-1 0 -1 2 1 4 1 1 -2 0 1 2 1 -1 1 1 1 -1 2 1 1 0] [-2 0 -2 2 -1 1 4 0 1 0 2 0 -2 -2 0 0 2 -2 0 2 -1 -2] [-2 0 0 2 -1 1 0 4 -1 1 0 1 0 -1 2 0 0 -1 0 1 -2 0] [ 0 0 -1 -1 -1 -2 1 -1 4 0 0 -1 -2 0 0 0 -1 0 -1 0 0 -1] [-1 1 0 0 1 0 0 1 0 4 0 1 0 -1 0 0 1 1 1 -1 -2 0] [-1 1 -2 2 0 1 2 0 0 0 4 0 -1 -1 1 0 1 -2 0 1 0 0] [-2 -2 -2 1 1 2 0 1 -1 1 0 6 0 -2 0 1 2 -1 2 1 0 0] [ 1 0 1 -1 2 1 -2 0 -2 0 -1 0 4 1 0 0 -1 1 0 -1 2 1] [ 2 1 1 -2 1 -1 -2 -1 0 -1 -1 -2 1 4 -1 1 -1 1 0 -1 1 1] [-1 1 -1 2 -1 1 0 2 0 0 1 0 0 -1 4 -1 0 -1 0 1 -1 1] [ 0 1 0 -1 1 1 0 0 0 0 0 1 0 1 -1 4 0 0 1 0 0 0] [-2 0 -2 2 1 1 2 0 -1 1 1 2 -1 -1 0 0 6 -2 2 2 -2 0] [ 2 0 2 -2 1 -1 -2 -1 0 1 -2 -1 1 1 -1 0 -2 4 0 -2 1 1] [ 0 1 -1 1 1 2 0 0 -1 1 0 2 0 0 0 1 2 0 4 0 0 1] [-2 0 -2 2 -1 1 2 1 0 -1 1 1 -1 -1 1 0 2 -2 0 4 0 -1] [ 2 -1 0 -1 2 1 -1 -2 0 -2 0 0 2 1 -1 0 -2 1 0 0 6 0] [ 2 1 1 0 1 0 -2 0 -1 0 0 0 1 1 1 0 0 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 288. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 1 -2 1 -1 1 2 0 0 1 1 -2 1 -1 1 -1 2] [ 1 4 -2 -1 2 -1 -1 0 2 -1 1 1 1 1 2 0 -1 0 -1 1 1 2] [-1 -2 4 0 -2 1 -1 -1 -2 2 -1 -1 0 -1 0 -1 0 1 2 -1 0 0] [ 1 -1 0 4 -1 2 2 0 -1 1 1 1 -2 -1 -2 1 -1 1 -1 1 -1 0] [ 1 2 -2 -1 4 -2 0 -1 2 -2 1 1 0 2 0 1 -1 -1 0 0 0 2] [ 1 -1 1 2 -2 4 0 -1 -1 1 1 1 0 -1 0 1 -1 2 0 0 0 -1] [ 1 -1 -1 2 0 0 4 0 0 -1 0 1 -2 0 -1 1 0 0 -1 1 -2 0] [-2 0 -1 0 -1 -1 0 4 -1 1 0 -1 0 0 0 0 2 -1 -1 1 0 -2] [ 1 2 -2 -1 2 -1 0 -1 4 -1 0 1 0 0 0 0 -1 -1 0 0 0 2] [-1 -1 2 1 -2 1 -1 1 -1 4 -1 0 0 -1 0 -1 0 1 1 0 0 -1] [ 1 1 -1 1 1 1 0 0 0 -1 4 1 -1 0 -1 2 -1 0 -1 0 1 1] [ 2 1 -1 1 1 1 1 -1 1 0 1 4 -1 0 0 1 -1 0 -1 0 0 1] [ 0 1 0 -2 0 0 -2 0 0 0 -1 -1 4 1 2 -1 0 0 0 0 0 0] [ 0 1 -1 -1 2 -1 0 0 0 -1 0 0 1 4 2 0 -1 0 1 1 0 -1] [ 1 2 0 -2 0 0 -1 0 0 0 -1 0 2 2 6 0 -1 2 1 2 0 0] [ 1 0 -1 1 1 1 1 0 0 -1 2 1 -1 0 0 4 -1 1 0 0 -1 1] [-2 -1 0 -1 -1 -1 0 2 -1 0 -1 -1 0 -1 -1 -1 4 -1 -1 -1 0 -2] [ 1 0 1 1 -1 2 0 -1 -1 1 0 0 0 0 2 1 -1 4 1 1 0 0] [-1 -1 2 -1 0 0 -1 -1 0 1 -1 -1 0 1 1 0 -1 1 4 -1 0 0] [ 1 1 -1 1 0 0 1 1 0 0 0 0 0 1 2 0 -1 1 -1 4 0 0] [-1 1 0 -1 0 0 -2 0 0 0 1 0 0 0 0 -1 0 0 0 0 4 -1] [ 2 2 0 0 2 -1 0 -2 2 -1 1 1 0 -1 0 1 -2 0 0 0 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 289. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 2 2 -2 -1 -2 1 0 -2 -1 2 -1 1 2 2 -2 -2 0 1] [-1 4 -1 -1 0 -2 -1 -1 2 1 0 0 2 -2 2 -1 0 0 2 0 -1 1] [-2 -1 4 0 -2 -1 2 1 1 0 0 2 0 0 1 0 -2 -2 0 2 0 -2] [-1 -1 0 4 -1 1 2 1 0 0 0 0 0 0 0 1 0 -1 1 1 1 -1] [ 2 0 -2 -1 4 1 -2 -2 -2 -1 -1 -1 -1 1 -2 -1 1 2 -2 -2 -1 0] [ 2 -2 -1 1 1 4 0 -1 -1 -1 0 -1 -2 2 -1 1 1 1 -2 -1 1 0] [-2 -1 2 2 -2 0 4 2 1 -1 0 2 0 -1 0 0 -2 -2 0 2 0 -2] [-1 -1 1 1 -2 -1 2 6 2 2 2 0 0 0 -2 -1 -1 -2 2 2 0 -1] [-2 2 1 0 -2 -1 1 2 6 1 2 1 2 -1 0 0 -2 -2 3 2 1 0] [ 1 1 0 0 -1 -1 -1 2 1 6 0 -1 1 1 1 0 2 0 2 0 -1 1] [ 0 0 0 0 -1 0 0 2 2 0 4 -1 1 0 -1 0 0 0 2 0 1 0] [-2 0 2 0 -1 -1 2 0 1 -1 -1 4 0 -1 0 0 -2 -2 -1 1 0 -1] [-1 2 0 0 -1 -2 0 0 2 1 1 0 4 -2 2 0 0 -1 3 1 0 1] [ 2 -2 0 0 1 2 -1 0 -1 1 0 -1 -2 4 -2 1 1 1 -2 -1 1 0] [-1 2 1 0 -2 -1 0 -2 0 1 -1 0 2 -2 6 0 0 -1 2 1 -1 1] [ 1 -1 0 1 -1 1 0 -1 0 0 0 0 0 1 0 4 1 0 -1 0 2 1] [ 2 0 -2 0 1 1 -2 -1 -2 2 0 -2 0 1 0 1 4 2 0 -2 0 2] [ 2 0 -2 -1 2 1 -2 -2 -2 0 0 -2 -1 1 -1 0 2 4 -1 -2 0 1] [-2 2 0 1 -2 -2 0 2 3 2 2 -1 3 -2 2 -1 0 -1 6 1 0 1] [-2 0 2 1 -2 -1 2 2 2 0 0 1 1 -1 1 0 -2 -2 1 4 1 -1] [ 0 -1 0 1 -1 1 0 0 1 -1 1 0 0 1 -1 2 0 0 0 1 4 0] [ 1 1 -2 -1 0 0 -2 -1 0 1 0 -1 1 0 1 1 2 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 290. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 2 -1 1 -1 2 -1 -1 1 1 1 -1 1 1 2 -1 2] [ 1 4 -2 2 1 -2 0 1 0 -2 1 0 -2 -1 -1 0 0 -1 0 -1 1 -1] [-1 -2 4 -2 -1 1 -1 -1 0 1 -1 -1 2 0 1 0 -1 1 1 -1 -1 -1] [ 1 2 -2 4 2 0 0 1 -1 -2 1 0 -2 -1 0 -1 1 -1 1 1 1 -1] [ 2 1 -1 2 4 0 0 -1 1 -1 2 0 -1 1 0 1 -1 1 2 2 -1 1] [-2 -2 1 0 0 4 -2 0 0 0 -1 0 1 0 0 -1 0 0 0 0 0 0] [ 2 0 -1 0 0 -2 4 -1 0 1 1 0 -1 1 1 0 1 0 0 1 0 1] [-1 1 -1 1 -1 0 -1 4 -2 0 -1 1 0 -2 -1 -1 0 -1 -1 -2 1 -2] [ 1 0 0 -1 1 0 0 -2 4 -1 0 -1 1 1 1 1 -1 1 0 1 -1 3] [-1 -2 1 -2 -1 0 1 0 -1 4 0 1 1 0 0 1 0 1 -1 -1 -1 -1] [ 2 1 -1 1 2 -1 1 -1 0 0 4 -1 -1 1 -1 1 0 0 1 2 0 1] [-1 0 -1 0 0 0 0 1 -1 1 -1 4 -1 -1 -1 0 1 1 0 0 -1 -1] [-1 -2 2 -2 -1 1 -1 0 1 1 -1 -1 4 1 1 0 -1 0 -1 0 0 1] [ 1 -1 0 -1 1 0 1 -2 1 0 1 -1 1 4 1 0 0 0 0 2 0 3] [ 1 -1 1 0 0 0 1 -1 1 0 -1 -1 1 1 4 0 0 0 0 0 0 1] [ 1 0 0 -1 1 -1 0 -1 1 1 1 0 0 0 0 4 -1 2 0 0 -1 1] [-1 0 -1 1 -1 0 1 0 -1 0 0 1 -1 0 0 -1 4 -1 0 1 1 0] [ 1 -1 1 -1 1 0 0 -1 1 1 0 1 0 0 0 2 -1 4 1 1 -2 1] [ 1 0 1 1 2 0 0 -1 0 -1 1 0 -1 0 0 0 0 1 4 1 -1 0] [ 2 -1 -1 1 2 0 1 -2 1 -1 2 0 0 2 0 0 1 1 1 6 0 3] [-1 1 -1 1 -1 0 0 1 -1 -1 0 -1 0 0 0 -1 1 -2 -1 0 4 -1] [ 2 -1 -1 -1 1 0 1 -2 3 -1 1 -1 1 3 1 1 0 1 0 3 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 291. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 1 -2 2 -2 1 2 -1 -1 2 1 -1 0 1 0 -1 1] [ 1 4 -1 2 1 -2 -1 1 2 -2 2 1 0 -2 1 0 0 1 0 -1 0 1] [-1 -1 4 -2 -1 1 -1 2 -2 2 -2 -1 -1 -1 0 0 -1 -1 -2 1 -1 0] [ 1 2 -2 4 2 -1 1 -1 1 -2 2 1 1 -1 1 1 0 0 0 0 1 0] [ 2 1 -1 2 4 -2 2 -2 2 -1 1 2 -1 -2 2 2 0 0 0 0 -1 0] [-2 -2 1 -1 -2 4 0 0 -2 2 -1 -2 1 1 -1 0 1 -1 -1 1 1 0] [ 1 -1 -1 1 2 0 4 -2 0 -1 0 0 -1 -1 1 1 1 -1 0 1 0 -1] [-2 1 2 -1 -2 0 -2 6 -2 2 0 0 -1 0 0 0 1 0 0 0 0 -1] [ 2 2 -2 1 2 -2 0 -2 6 -3 1 2 0 0 1 0 1 0 2 0 0 2] [-2 -2 2 -2 -1 2 -1 2 -3 6 -2 -1 -1 1 0 1 1 -1 -1 1 -1 -2] [ 1 2 -2 2 1 -1 0 0 1 -2 4 2 1 0 1 1 0 2 1 -2 1 0] [ 2 1 -1 1 2 -2 0 0 2 -1 2 4 -1 0 2 2 0 1 2 -1 -1 0] [-1 0 -1 1 -1 1 -1 -1 0 -1 1 -1 4 2 -1 -1 -1 1 0 -1 1 0] [-1 -2 -1 -1 -2 1 -1 0 0 1 0 0 2 6 -1 0 0 1 2 -1 0 -1] [ 2 1 0 1 2 -1 1 0 1 0 1 2 -1 -1 4 2 0 -1 0 0 -1 0] [ 1 0 0 1 2 0 1 0 0 1 1 2 -1 0 2 4 1 0 0 0 -1 0] [-1 0 -1 0 0 1 1 1 1 1 0 0 -1 0 0 1 4 -1 1 1 1 0] [ 0 1 -1 0 0 -1 -1 0 0 -1 2 1 1 1 -1 0 -1 4 1 -2 0 0] [ 1 0 -2 0 0 -1 0 0 2 -1 1 2 0 2 0 0 1 1 4 -1 0 0] [ 0 -1 1 0 0 1 1 0 0 1 -2 -1 -1 -1 0 0 1 -2 -1 4 1 0] [-1 0 -1 1 -1 1 0 0 0 -1 1 -1 1 0 -1 -1 1 0 0 1 4 0] [ 1 1 0 0 0 0 -1 -1 2 -2 0 0 0 -1 0 0 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 292. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 -2 1 1 1 -1 0 -1 -2 -1 -1 1 0 2 2 -2 -1 0] [ 2 4 -2 -1 -1 -2 0 2 0 0 0 0 -1 0 0 0 -1 1 2 -1 -1 0] [-2 -2 4 1 2 2 -1 -2 -1 0 -1 1 2 0 0 -1 1 -2 -1 2 1 1] [ 0 -1 1 4 2 1 1 0 1 -2 -1 -1 -1 1 -2 1 -1 1 1 -1 -1 2] [-1 -1 2 2 4 1 1 -1 1 0 -2 -1 1 0 0 1 -1 -1 1 1 -1 2] [-2 -2 2 1 1 4 0 -2 0 1 -1 0 0 0 0 0 1 0 0 0 1 1] [ 1 0 -1 1 1 0 4 0 2 -1 0 -1 -2 -1 -1 2 -1 0 2 0 -1 1] [ 1 2 -2 0 -1 -2 0 4 1 -1 1 -1 0 1 0 1 -2 0 0 0 0 -1] [ 1 0 -1 1 1 0 2 1 4 -1 -1 -2 -2 0 0 2 -1 0 2 0 0 1] [-1 0 0 -2 0 1 -1 -1 -1 4 -1 1 1 -1 2 -1 0 -1 -1 1 0 0] [ 0 0 -1 -1 -2 -1 0 1 -1 -1 4 0 1 0 0 -1 1 1 -2 -1 0 -2] [-1 0 1 -1 -1 0 -1 -1 -2 1 0 4 0 0 0 -1 0 -2 -2 2 1 0] [-2 -1 2 -1 1 0 -2 0 -2 1 1 0 6 1 2 -2 1 -2 -2 2 0 -1] [-1 0 0 1 0 0 -1 1 0 -1 0 0 1 4 -1 0 -1 -1 -1 0 0 0] [-1 0 0 -2 0 0 -1 0 0 2 0 0 2 -1 4 -1 1 -1 0 1 1 0] [ 1 0 -1 1 1 0 2 1 2 -1 -1 -1 -2 0 -1 4 -1 0 1 0 0 1] [ 0 -1 1 -1 -1 1 -1 -2 -1 0 1 0 1 -1 1 -1 4 1 0 -1 1 0] [ 2 1 -2 1 -1 0 0 0 0 -1 1 -2 -2 -1 -1 0 1 6 2 -4 -1 0] [ 2 2 -1 1 1 0 2 0 2 -1 -2 -2 -2 -1 0 1 0 2 6 -2 -1 2] [-2 -1 2 -1 1 0 0 0 0 1 -1 2 2 0 1 0 -1 -4 -2 6 2 0] [-1 -1 1 -1 -1 1 -1 0 0 0 0 1 0 0 1 0 1 -1 -1 2 4 -1] [ 0 0 1 2 2 1 1 -1 1 0 -2 0 -1 0 0 1 0 0 2 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 293. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 -1 -2 -1 1 1 1 -1 -1 -1 1 -1 2 1 2 2 -1] [-2 4 -2 2 1 1 1 2 1 -2 -2 -2 2 1 0 -1 1 0 -1 -2 -1 2] [ 2 -2 4 -2 -1 -2 -1 -2 -2 1 0 0 -2 -1 0 0 -1 1 0 1 1 0] [-2 2 -2 4 1 2 2 2 1 -2 -2 -2 1 0 0 -1 0 -2 -1 0 -2 2] [ 0 1 -1 1 4 -1 2 1 -1 -2 -2 -1 2 1 -2 1 -1 1 -1 -1 0 1] [-1 1 -2 2 -1 4 1 1 2 0 0 -1 1 0 1 0 0 -2 0 1 -1 1] [-1 1 -1 2 2 1 4 1 -1 -1 -1 -1 2 0 0 1 0 -1 -2 0 -1 1] [-2 2 -2 2 1 1 1 4 2 -2 -2 -2 2 0 0 0 0 0 -1 -2 -2 2] [-1 1 -2 1 -1 2 -1 2 4 0 0 -1 0 0 1 -1 0 -1 0 0 -1 1] [ 1 -2 1 -2 -2 0 -1 -2 0 4 2 1 -2 -1 1 1 0 0 1 1 1 -1] [ 1 -2 0 -2 -2 0 -1 -2 0 2 6 4 0 -1 2 0 0 -1 0 2 1 -4] [ 1 -2 0 -2 -1 -1 -1 -2 -1 1 4 6 -1 0 1 0 0 1 1 0 2 -3] [-1 2 -2 1 2 1 2 2 0 -2 0 -1 6 1 0 0 1 -1 -2 0 0 1] [-1 1 -1 0 1 0 0 0 0 -1 -1 0 1 4 0 -1 0 1 1 -2 1 0] [-1 0 0 0 -2 1 0 0 1 1 2 1 0 0 4 -1 0 -2 -1 0 0 0] [ 1 -1 0 -1 1 0 1 0 -1 1 0 0 0 -1 -1 4 0 1 0 0 0 0] [-1 1 -1 0 -1 0 0 0 0 0 0 0 1 0 0 0 4 -1 0 0 0 0] [ 2 0 1 -2 1 -2 -1 0 -1 0 -1 1 -1 1 -2 1 -1 6 2 -2 2 0] [ 1 -1 0 -1 -1 0 -2 -1 0 1 0 1 -2 1 -1 0 0 2 4 -1 1 -1] [ 2 -2 1 0 -1 1 0 -2 0 1 2 0 0 -2 0 0 0 -2 -1 6 1 -1] [ 2 -1 1 -2 0 -1 -1 -2 -1 1 1 2 0 1 0 0 0 2 1 1 4 -1] [-1 2 0 2 1 1 1 2 1 -1 -4 -3 1 0 0 0 0 0 -1 -1 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 294. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 -2 -1 -2 -1 -1 -1 0 -1 1 0 1 -2 1 0 -1 0] [ 1 4 0 0 0 0 -1 -1 -1 1 1 0 -1 0 0 1 0 0 1 -1 -2 -1] [ 2 0 4 -2 0 -1 -2 1 -2 0 0 0 1 0 1 0 1 0 -1 -1 -1 -1] [-2 0 -2 4 -1 2 1 -1 0 1 0 1 -1 0 0 0 -1 0 0 0 0 -1] [ 1 0 0 -1 4 1 1 -1 1 -2 0 1 1 1 -1 -1 2 -1 -1 1 1 -1] [-1 0 -1 2 1 4 2 -2 0 -1 0 2 1 0 0 0 1 0 0 0 0 -2] [-2 -1 -2 1 1 2 4 0 2 -1 1 1 1 0 -1 -1 0 1 0 1 1 -1] [-1 -1 1 -1 -1 -2 0 4 1 1 1 0 1 0 0 -1 -1 1 -1 0 0 0] [-2 -1 -2 0 1 0 2 1 4 -1 1 1 0 0 -1 -1 0 1 0 1 1 1] [-1 1 0 1 -2 -1 -1 1 -1 4 1 -1 0 1 1 1 -1 0 0 -1 0 0] [-1 1 0 0 0 0 1 1 1 1 4 0 0 0 -1 -1 1 1 -1 -1 0 -2] [-1 0 0 1 1 2 1 0 1 -1 0 4 1 1 -1 -1 0 1 0 1 0 -2] [ 0 -1 1 -1 1 1 1 1 0 0 0 1 4 1 1 0 0 0 0 0 0 -1] [-1 0 0 0 1 0 0 0 0 1 0 1 1 4 0 1 0 0 -1 1 1 -1] [ 1 0 1 0 -1 0 -1 0 -1 1 -1 -1 1 0 4 2 0 -1 1 0 -1 0] [ 0 1 0 0 -1 0 -1 -1 -1 1 -1 -1 0 1 2 4 0 0 1 -1 -1 0] [ 1 0 1 -1 2 1 0 -1 0 -1 1 0 0 0 0 0 4 -1 -1 0 1 -1] [-2 0 0 0 -1 0 1 1 1 0 1 1 0 0 -1 0 -1 4 0 0 0 -1] [ 1 1 -1 0 -1 0 0 -1 0 0 -1 0 0 -1 1 1 -1 0 4 0 -1 1] [ 0 -1 -1 0 1 0 1 0 1 -1 -1 1 0 1 0 -1 0 0 0 4 2 0] [-1 -2 -1 0 1 0 1 0 1 0 0 0 0 1 -1 -1 1 0 -1 2 4 0] [ 0 -1 -1 -1 -1 -2 -1 0 1 0 -2 -2 -1 -1 0 0 -1 -1 1 0 0 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 295. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 1 1 1 -2 -1 1 0 -1 -1 -1 -1 1 -1 0 0] [-2 4 -2 2 1 1 1 1 -1 1 2 2 -1 1 1 0 2 2 -2 2 0 1] [ 2 -2 4 -2 -1 0 -1 -1 0 -1 -2 -1 2 0 -1 -1 -2 0 1 -2 0 1] [-2 2 -2 4 1 -1 2 0 0 -1 2 1 -2 1 1 0 2 0 -2 0 0 0] [ 0 1 -1 1 4 2 2 2 -1 2 1 -1 -2 2 2 -1 0 1 -1 -1 -1 1] [ 1 1 0 -1 2 4 1 2 0 2 0 0 0 1 1 -1 0 1 -1 0 -1 1] [-1 1 -1 2 2 1 4 0 0 1 1 -1 -1 2 2 0 1 0 -1 0 0 0] [ 1 1 -1 0 2 2 0 4 0 2 0 0 -1 1 1 0 0 1 -1 0 0 1] [ 1 -1 0 0 -1 0 0 0 4 0 0 1 0 0 0 -1 -1 0 0 1 -1 -1] [ 1 1 -1 -1 2 2 1 2 0 6 -1 -1 -1 0 2 -1 1 0 1 1 0 -1] [-2 2 -2 2 1 0 1 0 0 -1 4 2 -2 1 1 0 0 2 -2 2 0 0] [-1 2 -1 1 -1 0 -1 0 1 -1 2 4 0 0 0 0 1 1 -2 2 0 0] [ 1 -1 2 -2 -2 0 -1 -1 0 -1 -2 0 4 -1 -1 0 0 -1 1 0 0 0] [ 0 1 0 1 2 1 2 1 0 0 1 0 -1 4 1 0 0 1 -1 0 0 2] [-1 1 -1 1 2 1 2 1 0 2 1 0 -1 1 4 -1 1 1 -1 1 -1 0] [-1 0 -1 0 -1 -1 0 0 -1 -1 0 0 0 0 -1 4 1 0 0 0 2 0] [-1 2 -2 2 0 0 1 0 -1 1 0 1 0 0 1 1 6 -2 -1 0 0 0] [-1 2 0 0 1 1 0 1 0 0 2 1 -1 1 1 0 -2 6 -2 2 0 2] [ 1 -2 1 -2 -1 -1 -1 -1 0 1 -2 -2 1 -1 -1 0 -1 -2 4 -1 0 -1] [-1 2 -2 0 -1 0 0 0 1 1 2 2 0 0 1 0 0 2 -1 6 1 -1] [ 0 0 0 0 -1 -1 0 0 -1 0 0 0 0 0 -1 2 0 0 0 1 4 -1] [ 0 1 1 0 1 1 0 1 -1 -1 0 0 0 2 0 0 0 2 -1 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 296. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 0 -2 -2 1 2 1 0 2 -1 -1 -2 1 -2 -1 0 -1] [ 1 4 0 0 0 0 1 0 -1 0 0 2 1 0 0 1 0 0 1 -1 0 0] [ 2 0 4 -2 0 -1 -1 -2 -1 2 1 1 1 2 -1 0 0 1 0 1 -1 0] [-2 0 -2 4 -1 2 0 2 1 -2 -2 -1 -1 -2 1 0 1 -1 2 1 0 1] [ 1 0 0 -1 4 1 -1 -1 1 1 2 1 -1 0 1 0 -2 2 -1 1 2 -2] [-1 0 -1 2 1 4 0 1 2 -1 -1 1 -2 -1 2 0 -1 1 1 2 0 -1] [ 0 1 -1 0 -1 0 4 0 -1 -2 -1 1 0 0 0 0 -1 0 1 0 -1 1] [-2 0 -2 2 -1 1 0 4 0 -2 -1 -1 0 -2 1 0 0 -1 0 -1 0 1] [-2 -1 -1 1 1 2 -1 0 4 0 0 0 -1 -1 1 0 0 0 1 1 1 -1] [ 1 0 2 -2 1 -1 -2 -2 0 4 1 0 0 2 0 0 1 0 0 0 1 -1] [ 2 0 1 -2 2 -1 -1 -1 0 1 4 1 1 1 0 -1 -1 1 -2 -1 1 -2] [ 1 2 1 -1 1 1 1 -1 0 0 1 4 0 0 0 0 -1 1 0 1 0 -1] [ 0 1 1 -1 -1 -2 0 0 -1 0 1 0 4 1 -1 1 2 0 0 -1 -1 1] [ 2 0 2 -2 0 -1 0 -2 -1 2 1 0 1 4 0 0 0 0 -1 -1 0 0] [-1 0 -1 1 1 2 0 1 1 0 0 0 -1 0 4 1 -1 0 0 1 1 0] [-1 1 0 0 0 0 0 0 0 0 -1 0 1 0 1 4 0 1 0 0 0 1] [-2 0 0 1 -2 -1 -1 0 0 1 -1 -1 2 0 -1 0 6 -1 3 1 -1 1] [ 1 0 1 -1 2 1 0 -1 0 0 1 1 0 0 0 1 -1 4 0 2 0 -1] [-2 1 0 2 -1 1 1 0 1 0 -2 0 0 -1 0 0 3 0 6 2 -1 1] [-1 -1 1 1 1 2 0 -1 1 0 -1 1 -1 -1 1 0 1 2 2 6 0 0] [ 0 0 -1 0 2 0 -1 0 1 1 1 0 -1 0 1 0 -1 0 -1 0 4 -1] [-1 0 0 1 -2 -1 1 1 -1 -1 -2 -1 1 0 0 1 1 -1 1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 297. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 1 -2 1 -1 -1 0 -1 1 -1 0 -1 1 -1 1 -1 1 0] [-2 4 -2 -1 0 -1 2 -1 2 2 1 0 0 -1 0 0 0 1 -2 2 -1 -1] [ 2 -2 6 3 -1 2 -1 2 -3 -3 1 -2 1 1 -2 2 2 0 0 1 0 -2] [ 1 -1 3 4 0 0 0 0 -2 -2 1 -1 1 0 -1 2 1 0 0 0 0 -1] [ 1 0 -1 0 4 -1 0 0 0 0 -1 0 -1 -2 -1 -2 0 0 0 -2 0 2] [ 1 -1 2 0 -1 4 -1 2 -1 -1 -1 -1 -1 1 0 1 1 0 1 1 0 -2] [-2 2 -1 0 0 -1 4 -2 0 1 0 1 0 0 0 0 -1 0 -2 0 0 -1] [ 1 -1 2 0 0 2 -2 4 0 -2 0 -2 0 0 0 0 2 0 1 0 0 -1] [-1 2 -3 -2 0 -1 0 0 4 2 0 1 0 -1 1 -1 -1 1 -1 1 -1 1] [-1 2 -3 -2 0 -1 1 -2 2 4 0 2 0 -1 1 -1 -1 0 -1 1 0 0] [ 0 1 1 1 -1 -1 0 0 0 0 4 -1 2 -1 0 1 1 -1 0 2 1 -1] [-1 0 -2 -1 0 -1 1 -2 1 2 -1 4 0 0 1 -1 -2 1 -1 -1 -1 2] [ 1 0 1 1 -1 -1 0 0 0 0 2 0 4 -1 1 0 1 0 -1 0 1 0] [-1 -1 1 0 -2 1 0 0 -1 -1 -1 0 -1 4 -1 1 -1 1 1 1 -1 -1] [ 0 0 -2 -1 -1 0 0 0 1 1 0 1 1 -1 4 0 0 -1 0 -1 1 0] [-1 0 2 2 -2 1 0 0 -1 -1 1 -1 0 1 0 4 1 0 0 2 0 -2] [ 1 0 2 1 0 1 -1 2 -1 -1 1 -2 1 -1 0 1 4 -1 0 1 1 -1] [-1 1 0 0 0 0 0 0 1 0 -1 1 0 1 -1 0 -1 4 -1 1 -2 1] [ 1 -2 0 0 0 1 -2 1 -1 -1 0 -1 -1 1 0 0 0 -1 4 -1 1 0] [-1 2 1 0 -2 1 0 0 1 1 2 -1 0 1 -1 2 1 1 -1 6 0 -2] [ 1 -1 0 0 0 0 0 0 -1 0 1 -1 1 -1 1 0 1 -2 1 0 4 -1] [ 0 -1 -2 -1 2 -2 -1 -1 1 0 -1 2 0 -1 0 -2 -1 1 0 -2 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 298. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 -2 1 -2 0 1 -2 0 -1 1 -2 0 -2 1 -1 -2 0 1 -2] [ 1 4 -1 -1 1 2 -1 -1 0 0 1 -1 0 1 -1 -2 0 1 -2 1 -1 0] [ 0 -1 4 1 0 1 -1 -1 -1 1 0 1 -1 -2 1 1 -1 -2 2 0 0 0] [-2 -1 1 4 2 0 2 0 0 1 1 2 0 0 -1 1 -2 -1 1 1 -1 1] [-2 1 0 2 4 0 2 0 -1 2 0 1 -1 2 -1 0 -1 0 0 0 -1 2] [ 1 2 1 0 0 4 -1 -2 -1 -1 1 0 1 -1 -1 -1 -1 -1 -1 1 -1 0] [-2 -1 -1 2 2 -1 4 0 -1 1 0 1 0 2 0 0 -1 0 1 0 -1 2] [ 0 -1 -1 0 0 -2 0 4 1 -1 -1 0 0 1 0 0 2 1 0 -1 0 0] [ 1 0 -1 0 -1 -1 -1 1 6 1 2 -2 -1 -2 -1 0 -1 1 1 2 0 -2] [-2 0 1 1 2 -1 1 -1 1 6 0 -1 -2 1 0 1 -1 1 3 0 0 1] [ 0 1 0 1 0 1 0 -1 2 0 4 -1 0 -2 0 0 -2 0 0 2 -1 0] [-1 -1 1 2 1 0 1 0 -2 -1 -1 4 1 0 -1 0 0 -1 0 -1 -1 0] [ 1 0 -1 0 -1 1 0 0 -1 -2 0 1 4 -1 0 -1 1 -1 -1 0 0 0] [-2 1 -2 0 2 -1 2 1 -2 1 -2 0 -1 6 -1 0 1 2 -1 -1 0 2] [ 0 -1 1 -1 -1 -1 0 0 -1 0 0 -1 0 -1 4 0 0 -1 2 0 0 1] [-2 -2 1 1 0 -1 0 0 0 1 0 0 -1 0 0 4 0 0 1 0 1 1] [ 1 0 -1 -2 -1 -1 -1 2 -1 -1 -2 0 1 1 0 0 4 1 -1 -2 1 0] [-1 1 -2 -1 0 -1 0 1 1 1 0 -1 -1 2 -1 0 1 4 0 0 0 0] [-2 -2 2 1 0 -1 1 0 1 3 0 0 -1 -1 2 1 -1 0 6 0 -1 1] [ 0 1 0 1 0 1 0 -1 2 0 2 -1 0 -1 0 0 -2 0 0 4 0 0] [ 1 -1 0 -1 -1 -1 -1 0 0 0 -1 -1 0 0 0 1 1 0 -1 0 4 -1] [-2 0 0 1 2 0 2 0 -2 1 0 0 0 2 1 1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 299. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 2 1 2 1 0 -2 -2 1 0 1 2 -1 2 -2 1 -2 1 0] [-2 4 2 1 -2 0 -1 1 0 2 2 0 1 -1 -2 0 -1 0 -1 2 0 1] [-2 2 4 2 -2 1 -1 -1 1 2 1 0 1 -2 0 -1 -2 0 -1 2 -1 0] [-1 1 2 4 -1 2 1 1 2 1 -1 0 2 -1 0 1 -1 0 -2 1 -2 0] [ 2 -2 -2 -1 4 1 0 -1 -1 -2 -1 -1 0 2 2 1 0 -1 1 -1 0 1] [ 1 0 1 2 1 6 2 0 0 1 -3 -1 1 1 3 2 -1 -2 0 1 -1 2] [ 2 -1 -1 1 0 2 6 3 1 -1 -4 0 1 1 2 -1 1 -1 -1 -1 1 -1] [ 1 1 -1 1 -1 0 3 6 2 -1 -1 2 0 0 0 -1 2 0 -1 -1 1 -1] [ 0 0 1 2 -1 0 1 2 4 -1 -1 1 1 -2 1 0 1 0 -1 0 -1 -1] [-2 2 2 1 -2 1 -1 -1 -1 4 1 0 0 -1 -2 1 -2 0 -1 2 0 0] [-2 2 1 -1 -1 -3 -4 -1 -1 1 6 0 0 -1 -3 -1 0 2 1 0 0 0] [ 1 0 0 0 -1 -1 0 2 1 0 0 4 -1 -1 -1 -1 1 -1 -1 -1 1 -1] [ 0 1 1 2 0 1 1 0 1 0 0 -1 4 -1 1 0 0 -1 0 1 -1 1] [ 1 -1 -2 -1 2 1 1 0 -2 -1 -1 -1 -1 4 0 1 0 0 0 -1 1 1] [ 2 -2 0 0 2 3 2 0 1 -2 -3 -1 1 0 6 -1 0 -2 2 0 -1 1] [-1 0 -1 1 1 2 -1 -1 0 1 -1 -1 0 1 -1 6 0 0 -1 1 -1 2] [ 2 -1 -2 -1 0 -1 1 2 1 -2 0 1 0 0 0 0 4 0 1 -2 1 0] [-2 0 0 0 -1 -2 -1 0 0 0 2 -1 -1 0 -2 0 0 4 0 0 0 -1] [ 1 -1 -1 -2 1 0 -1 -1 -1 -1 1 -1 0 0 2 -1 1 0 4 -1 0 1] [-2 2 2 1 -1 1 -1 -1 0 2 0 -1 1 -1 0 1 -2 0 -1 4 0 1] [ 1 0 -1 -2 0 -1 1 1 -1 0 0 1 -1 1 -1 -1 1 0 0 0 4 -1] [ 0 1 0 0 1 2 -1 -1 -1 0 0 -1 1 1 1 2 0 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 300. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 2 2 -2 0 0 0 1 -2 -2 0 0 1 -1 -1 -2 1 0] [ 1 4 0 0 0 1 1 0 1 0 1 1 -2 -1 -1 1 2 1 -2 0 -1 0] [ 2 0 4 -2 -1 0 2 -1 1 -1 -1 -1 -1 -2 -1 -1 1 -2 0 -2 2 0] [-2 0 -2 4 2 -1 -1 1 0 0 0 -1 2 0 0 1 -1 0 0 2 0 -1] [-1 0 -1 2 4 -2 -2 -1 0 0 0 -2 1 0 0 2 1 0 0 1 0 1] [ 2 1 0 -1 -2 4 2 -1 -1 0 0 2 -2 -1 1 0 -1 1 0 -1 -1 0] [ 2 1 2 -1 -2 2 4 -1 0 -1 -1 0 -2 -2 0 0 0 -1 0 -1 1 -1] [-2 0 -1 1 -1 -1 -1 6 -1 2 1 2 3 1 1 -1 0 2 -1 1 -2 -2] [ 0 1 1 0 0 -1 0 -1 4 -1 0 -1 -1 0 -1 -1 1 -2 -1 0 2 1] [ 0 0 -1 0 0 0 -1 2 -1 4 2 1 0 1 1 0 0 0 0 1 0 -1] [ 0 1 -1 0 0 0 -1 1 0 2 4 0 0 1 0 1 1 1 0 0 -1 0] [ 1 1 -1 -1 -2 2 0 2 -1 1 0 6 0 0 0 -2 0 3 -2 -1 -2 0] [-2 -2 -1 2 1 -2 -2 3 -1 0 0 0 6 0 1 -1 0 0 1 1 0 -1] [-2 -1 -2 0 0 -1 -2 1 0 1 1 0 0 4 0 0 -1 1 0 1 -1 1] [ 0 -1 -1 0 0 1 0 1 -1 1 0 0 1 0 4 1 -1 0 1 1 0 -1] [ 0 1 -1 1 2 0 0 -1 -1 0 1 -2 -1 0 1 4 0 1 0 1 -1 0] [ 1 2 1 -1 1 -1 0 0 1 0 1 0 0 -1 -1 0 4 0 -1 -1 0 1] [-1 1 -2 0 0 1 -1 2 -2 0 1 3 0 1 0 1 0 6 -1 0 -4 1] [-1 -2 0 0 0 0 0 -1 -1 0 0 -2 1 0 1 0 -1 -1 4 0 1 0] [-2 0 -2 2 1 -1 -1 1 0 1 0 -1 1 1 1 1 -1 0 0 4 1 -1] [ 1 -1 2 0 0 -1 1 -2 2 0 -1 -2 0 -1 0 -1 0 -4 1 1 6 -1] [ 0 0 0 -1 1 0 -1 -2 1 -1 0 0 -1 1 -1 0 1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 301. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 2 1 0 1 2 1 1 -2 0 0 -1 -1 -1 0 1 1 -2 0] [-2 4 2 1 -2 0 0 0 -1 1 1 2 0 1 0 -1 1 0 0 -1 1 1] [-2 2 4 2 -1 0 -1 1 -2 -1 0 2 -1 1 0 1 1 -1 1 -1 1 1] [-1 1 2 4 1 0 -2 2 -1 1 0 1 1 -1 0 2 -1 -2 -1 -2 2 2] [ 2 -2 -1 1 4 1 -1 1 1 0 0 -1 0 -1 -1 0 -2 -1 0 0 -1 1] [ 1 0 0 0 1 4 1 2 -1 1 -1 -1 -2 1 -1 -2 -2 1 1 -1 -1 1] [ 0 0 -1 -2 -1 1 4 0 0 0 -1 0 -1 0 1 -2 1 2 1 0 -2 0] [ 1 0 1 2 1 2 0 6 1 0 -1 1 0 0 -1 -1 -2 0 2 -2 -1 2] [ 2 -1 -2 -1 1 -1 0 1 6 1 1 0 1 1 1 0 0 1 2 0 -3 0] [ 1 1 -1 1 0 1 0 0 1 6 2 -1 0 0 0 -1 0 -1 -2 0 0 2] [ 1 1 0 0 0 -1 -1 -1 1 2 4 0 0 1 0 0 1 -1 0 1 -1 1] [-2 2 2 1 -1 -1 0 1 0 -1 0 4 1 0 0 0 1 0 0 -1 0 1] [ 0 0 -1 1 0 -2 -1 0 1 0 0 1 4 -2 0 1 0 -1 -2 0 1 0] [ 0 1 1 -1 -1 1 0 0 1 0 1 0 -2 4 0 -1 0 1 3 0 -2 0] [-1 0 0 0 -1 -1 1 -1 1 0 0 0 0 0 4 2 1 0 0 -1 0 0] [-1 -1 1 2 0 -2 -2 -1 0 -1 0 0 1 -1 2 6 1 -1 -1 -1 2 0] [-1 1 1 -1 -2 -2 1 -2 0 0 1 1 0 0 1 1 4 0 0 1 0 0] [ 0 0 -1 -2 -1 1 2 0 1 -1 -1 0 -1 1 0 -1 0 4 2 0 -1 -1] [ 1 0 1 -1 0 1 1 2 2 -2 0 0 -2 3 0 -1 0 2 6 -1 -3 0] [ 1 -1 -1 -2 0 -1 0 -2 0 0 1 -1 0 0 -1 -1 1 0 -1 4 0 -1] [-2 1 1 2 -1 -1 -2 -1 -3 0 -1 0 1 -2 0 2 0 -1 -3 0 6 -1] [ 0 1 1 2 1 1 0 2 0 2 1 1 0 0 0 0 0 -1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 302. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 0 -1 2 2 0 -2 -1 2 1 1 2 0 2 0 -1 1 2 2 0] [-1 4 1 -1 2 -2 -1 1 -1 2 0 1 -1 1 1 -1 1 2 1 -1 0 1] [-1 1 4 -2 -1 -1 -2 0 -1 -1 1 0 0 0 -1 -1 1 1 0 1 1 -1] [ 0 -1 -2 4 -1 1 2 -1 2 1 -2 0 -1 -1 1 0 -2 -2 -1 -1 -2 -1] [-1 2 -1 -1 4 -2 -1 1 0 1 -1 0 -1 1 0 -1 1 2 1 -2 -1 2] [ 2 -2 -1 1 -2 4 2 -1 -1 -1 0 0 1 0 1 2 0 -2 -1 2 0 -1] [ 2 -1 -2 2 -1 2 4 -1 0 1 0 0 1 1 1 2 -1 -1 -1 0 0 -1] [ 0 1 0 -1 1 -1 -1 4 0 -1 0 2 0 2 -1 -1 1 1 0 0 0 1] [-2 -1 -1 2 0 -1 0 0 6 -1 -1 0 -2 -3 -1 -2 0 0 0 -3 -1 -1] [-1 2 -1 1 1 -1 1 -1 -1 6 -2 -1 0 1 2 0 0 1 0 0 -2 1] [ 2 0 1 -2 -1 0 0 0 -1 -2 6 0 0 1 -2 1 1 1 2 2 3 -1] [ 1 1 0 0 0 0 0 2 0 -1 0 4 -1 0 0 0 0 0 0 -1 0 0] [ 1 -1 0 -1 -1 1 1 0 -2 0 0 -1 4 1 1 1 0 0 -1 2 2 1] [ 2 1 0 -1 1 0 1 2 -3 1 1 0 1 6 -1 1 1 1 0 2 1 1] [ 0 1 -1 1 0 1 1 -1 -1 2 -2 0 1 -1 4 0 -1 -1 0 0 -1 1] [ 2 -1 -1 0 -1 2 2 -1 -2 0 1 0 1 1 0 4 0 -1 -1 1 1 0] [ 0 1 1 -2 1 0 -1 1 0 0 1 0 0 1 -1 0 4 2 1 1 1 1] [-1 2 1 -2 2 -2 -1 1 0 1 1 0 0 1 -1 -1 2 4 1 0 1 1] [ 1 1 0 -1 1 -1 -1 0 0 0 2 0 -1 0 0 -1 1 1 4 0 1 1] [ 2 -1 1 -1 -2 2 0 0 -3 0 2 -1 2 2 0 1 1 0 0 6 2 0] [ 2 0 1 -2 -1 0 0 0 -1 -2 3 0 2 1 -1 1 1 1 1 2 6 0] [ 0 1 -1 -1 2 -1 -1 1 -1 1 -1 0 1 1 1 0 1 1 1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 303. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 1 -2 -1 -1 1 -2 -1 1 -2 2 1 1 -1 1 1 -1 -1] [ 1 4 -2 2 1 1 -1 1 0 2 -1 0 -1 -1 0 0 1 0 1 0 1 1] [-1 -2 4 -2 -1 -2 2 -1 0 -2 1 1 1 0 0 0 0 0 -1 0 -1 1] [ 1 2 -2 4 2 2 0 1 -1 2 -1 -1 0 0 -1 1 1 1 2 -1 1 -1] [ 2 1 -1 2 4 1 0 -1 -2 1 -2 -2 0 0 1 2 2 -1 1 1 -1 -2] [ 1 1 -2 2 1 4 0 0 -1 1 -2 -2 -1 1 -1 1 -1 1 0 -1 0 -2] [-2 -1 2 0 0 0 6 0 -1 0 0 0 1 2 -2 2 -1 1 0 -1 0 1] [-1 1 -1 1 -1 0 0 4 0 1 1 2 1 -1 -2 -1 -1 0 0 0 1 2] [-1 0 0 -1 -2 -1 -1 0 4 -1 2 1 -1 -1 -1 -2 0 1 0 -1 0 0] [ 1 2 -2 2 1 1 0 1 -1 4 -2 -1 0 0 -1 1 0 0 2 0 1 1] [-2 -1 1 -1 -2 -2 0 1 2 -2 4 2 0 0 -1 -2 0 0 -1 0 1 1] [-1 0 1 -1 -2 -2 0 2 1 -1 2 4 1 -1 0 -2 0 0 0 0 1 2] [ 1 -1 1 0 0 -1 1 1 -1 0 0 1 4 -2 1 0 -1 -1 1 1 0 1] [-2 -1 0 0 0 1 2 -1 -1 0 0 -1 -2 6 -2 1 -1 0 -1 0 0 -2] [ 2 0 0 -1 1 -1 -2 -2 -1 -1 -1 0 1 -2 6 0 1 -2 0 1 0 0] [ 1 0 0 1 2 1 2 -1 -2 1 -2 -2 0 1 0 4 1 0 0 0 -1 0] [ 1 1 0 1 2 -1 -1 -1 0 0 0 0 -1 -1 1 1 4 0 1 0 0 0] [-1 0 0 1 -1 1 1 0 1 0 0 0 -1 0 -2 0 0 4 1 -2 1 0] [ 1 1 -1 2 1 0 0 0 0 2 -1 0 1 -1 0 0 1 1 4 -1 1 0] [ 1 0 0 -1 1 -1 -1 0 -1 0 0 0 1 0 1 0 0 -2 -1 4 0 0] [-1 1 -1 1 -1 0 0 1 0 1 1 1 0 0 0 -1 0 1 1 0 4 1] [-1 1 1 -1 -2 -2 1 2 0 1 1 2 1 -2 0 0 0 0 0 0 1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 304. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 -2 2 1 0 1 1 0 -1 -1 -2 -2 -2 -1 1 -2 -1 1] [-2 4 -2 2 1 2 -1 -1 0 -1 0 1 0 1 1 1 2 -1 -2 0 1 1] [ 2 -2 4 -2 -1 -2 1 1 -1 0 0 -1 0 -2 0 -1 -2 -1 1 -2 -1 1] [-2 2 -2 4 2 2 -1 -1 1 -1 -1 0 1 2 1 2 1 -1 -2 1 1 0] [-1 1 -1 2 4 1 1 1 -1 1 1 0 -1 1 -1 1 -1 -2 -1 -1 -1 0] [-2 2 -2 2 1 4 -2 -2 1 0 0 0 1 2 0 2 1 -1 -2 2 1 0] [ 2 -1 1 -1 1 -2 4 1 -1 1 2 0 -2 0 -2 -1 -2 0 0 -3 -1 0] [ 1 -1 1 -1 1 -2 1 4 -2 0 0 0 -2 -1 0 -1 -2 -1 1 -1 -2 0] [ 0 0 -1 1 -1 1 -1 -2 4 0 0 -1 1 1 0 1 1 0 0 2 1 -1] [ 1 -1 0 -1 1 0 1 0 0 4 2 1 -1 0 -3 -1 0 0 0 -1 -1 -1] [ 1 0 0 -1 1 0 2 0 0 2 4 1 -1 0 -3 -1 0 0 -1 -2 0 -1] [ 0 1 -1 0 0 0 0 0 -1 1 1 4 -1 -1 0 -1 1 1 -1 -1 0 0] [-1 0 0 1 -1 1 -2 -2 1 -1 -1 -1 4 1 1 1 1 1 0 1 2 0] [-1 1 -2 2 1 2 0 -1 1 0 0 -1 1 4 -1 1 0 0 -1 1 1 -1] [-2 1 0 1 -1 0 -2 0 0 -3 -3 0 1 -1 6 1 0 0 0 1 1 1] [-2 1 -1 2 1 2 -1 -1 1 -1 -1 -1 1 1 1 4 0 -1 -1 2 0 0] [-2 2 -2 1 -1 1 -2 -2 1 0 0 1 1 0 0 0 6 1 -1 2 1 0] [-1 -1 -1 -1 -2 -1 0 -1 0 0 0 1 1 0 0 -1 1 6 1 1 2 -2] [ 1 -2 1 -2 -1 -2 0 1 0 0 -1 -1 0 -1 0 -1 -1 1 4 0 -1 0] [-2 0 -2 1 -1 2 -3 -1 2 -1 -2 -1 1 1 1 2 2 1 0 6 1 -1] [-1 1 -1 1 -1 1 -1 -2 1 -1 0 0 2 1 1 0 1 2 -1 1 4 -1] [ 1 1 1 0 0 0 0 0 -1 -1 -1 0 0 -1 1 0 0 -2 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 305. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 -1 -1 -1 0 -1 -1 1 -1 -1 -2 1 -1 2 -2 -1 1 0 0] [ 2 4 0 0 0 -2 1 0 -1 -1 2 0 1 -2 -1 -1 1 -2 -2 2 1 -1] [ 2 0 4 0 -2 1 -1 0 0 -1 0 0 -2 -1 1 1 1 0 1 0 -1 -1] [ 2 0 0 4 -1 -1 0 0 -1 -1 0 0 -1 -1 1 -2 2 -1 -1 0 0 2] [-1 0 -2 -1 4 1 0 0 0 2 0 0 2 0 -1 -1 -2 -1 0 0 0 0] [-1 -2 1 -1 1 4 0 0 1 1 -1 1 0 1 1 0 -2 0 2 -1 -1 -1] [-1 1 -1 0 0 0 6 0 -1 1 2 1 3 2 -1 1 0 0 0 2 -1 0] [ 0 0 0 0 0 0 0 4 2 2 1 -1 2 1 -1 2 -1 0 1 1 1 0] [-1 -1 0 -1 0 1 -1 2 4 2 0 -1 1 2 0 2 -1 1 1 0 0 -1] [-1 -1 -1 -1 2 1 1 2 2 6 0 -2 3 3 -1 2 -1 1 2 0 0 0] [ 1 2 0 0 0 -1 2 1 0 0 4 -1 2 -1 0 1 0 -1 -1 2 0 0] [-1 0 0 0 0 1 1 -1 -1 -2 -1 4 0 -1 -1 -2 0 0 0 -1 -1 -1] [-1 1 -2 -1 2 0 3 2 1 3 2 0 6 1 -1 1 -1 -1 1 2 0 0] [-2 -2 -1 -1 0 1 2 1 2 3 -1 -1 1 6 -1 3 -1 2 1 0 0 0] [ 1 -1 1 1 -1 1 -1 -1 0 -1 0 -1 -1 -1 4 -1 0 -1 1 0 -1 1] [-1 -1 1 -2 -1 0 1 2 2 2 1 -2 1 3 -1 6 0 2 1 1 0 0] [ 2 1 1 2 -2 -2 0 -1 -1 -1 0 0 -1 -1 0 0 4 0 -1 0 0 1] [-2 -2 0 -1 -1 0 0 0 1 1 -1 0 -1 2 -1 2 0 4 1 -1 0 0] [-1 -2 1 -1 0 2 0 1 1 2 -1 0 1 1 1 1 -1 1 4 -1 -1 0] [ 1 2 0 0 0 -1 2 1 0 0 2 -1 2 0 0 1 0 -1 -1 4 1 0] [ 0 1 -1 0 0 -1 -1 1 0 0 0 -1 0 0 -1 0 0 0 -1 1 4 0] [ 0 -1 -1 2 0 -1 0 0 -1 0 0 -1 0 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 306. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 2 -1 -2 0 2 1 1 1 2 2 2 -1 -1 -1 -2 1 -1 1] [-1 4 -1 0 0 0 0 0 0 1 0 1 -1 0 1 1 -1 1 0 -1 1 0] [ 0 -1 4 -1 0 0 -1 1 1 -1 0 1 1 -1 0 1 -1 1 -1 -1 -2 0] [-1 0 -1 4 -1 2 0 1 0 -1 1 -2 -2 -2 -2 -1 2 -1 0 1 -1 1] [ 2 0 0 -1 4 -2 -2 1 0 1 1 1 0 0 0 -1 -2 -1 0 1 -1 1] [-1 0 0 2 -2 4 1 1 0 -2 1 -2 0 0 0 -1 1 -1 0 1 -1 1] [-2 0 -1 0 -2 1 4 0 -2 0 0 -1 -1 1 0 1 1 0 2 0 2 0] [ 0 0 1 1 1 1 0 4 0 0 2 -1 0 0 0 0 0 -1 0 1 -2 2] [ 2 0 1 0 0 0 -2 0 4 0 1 1 1 1 2 0 -1 0 -2 0 -2 0] [ 1 1 -1 -1 1 -2 0 0 0 4 -1 2 1 1 0 0 0 1 -1 -1 2 0] [ 1 0 0 1 1 1 0 2 1 -1 4 -1 0 1 1 0 -1 -2 0 2 -2 2] [ 1 1 1 -2 1 -2 -1 -1 1 2 -1 4 1 0 1 1 -2 2 -1 -2 1 0] [ 2 -1 1 -2 0 0 -1 0 1 1 0 1 6 1 1 -1 0 1 -2 -1 1 0] [ 2 0 -1 -2 0 0 1 0 1 1 1 0 1 6 4 0 -1 -1 0 1 1 1] [ 2 1 0 -2 0 0 0 0 2 0 1 1 1 4 6 1 -2 -1 -1 0 0 1] [-1 1 1 -1 -1 -1 1 0 0 0 0 1 -1 0 1 4 0 1 0 -1 0 0] [-1 -1 -1 2 -2 1 1 0 -1 0 -1 -2 0 -1 -2 0 4 0 0 0 1 0] [-1 1 1 -1 -1 -1 0 -1 0 1 -2 2 1 -1 -1 1 0 4 0 -2 2 -1] [-2 0 -1 0 0 0 2 0 -2 -1 0 -1 -2 0 -1 0 0 0 4 0 1 0] [ 1 -1 -1 1 1 1 0 1 0 -1 2 -2 -1 1 0 -1 0 -2 0 4 -1 1] [-1 1 -2 -1 -1 -1 2 -2 -2 2 -2 1 1 1 0 0 1 2 1 -1 6 -1] [ 1 0 0 1 1 1 0 2 0 0 2 0 0 1 1 0 0 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 307. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -1 -1 2 0 2 1 0 -2 -2 1 0 1 0 1 -2 0 0 -1 1] [ 0 4 1 -1 1 -1 1 0 1 -1 -1 -2 -1 -2 1 1 -1 0 -2 -2 2 1] [ 0 1 4 -2 1 -1 0 -1 2 -2 -1 -2 -1 0 2 0 1 0 0 0 2 0] [-1 -1 -2 4 -1 -1 1 0 -2 2 2 3 0 1 0 1 -1 0 0 1 0 -1] [-1 1 1 -1 6 -2 -1 -1 2 -1 -1 0 -3 1 -2 -1 -1 1 1 1 1 2] [ 2 -1 -1 -1 -2 6 -2 0 -1 -1 -2 1 2 0 1 -2 2 1 0 0 0 1] [ 0 1 0 1 -1 -2 4 0 0 2 0 0 0 -1 0 1 -1 -1 -2 -1 -1 -1] [ 2 0 -1 0 -1 0 0 4 1 0 0 -2 0 0 1 0 0 -2 0 0 -1 0] [ 1 1 2 -2 2 -1 0 1 4 -2 -1 -3 -1 0 1 0 1 -1 0 0 0 0] [ 0 -1 -2 2 -1 -1 2 0 -2 4 1 2 1 0 -2 1 -1 -1 0 0 -2 0] [-2 -1 -1 2 -1 -2 0 0 -1 1 4 1 0 0 0 1 0 0 1 0 0 -1] [-2 -2 -2 3 0 1 0 -2 -3 2 1 6 0 1 -1 -1 -1 2 1 1 0 0] [ 1 -1 -1 0 -3 2 0 0 -1 1 0 0 4 -1 0 0 1 0 0 -1 -2 -1] [ 0 -2 0 1 1 0 -1 0 0 0 0 1 -1 4 0 0 1 0 1 2 0 0] [ 1 1 2 0 -2 1 0 1 1 -2 0 -1 0 0 6 1 1 -1 0 0 3 0] [ 0 1 0 1 -1 -2 1 0 0 1 1 -1 0 0 1 4 -1 -2 0 0 1 0] [ 1 -1 1 -1 -1 2 -1 0 1 -1 0 -1 1 1 1 -1 4 0 0 0 0 0] [-2 0 0 0 1 1 -1 -2 -1 -1 0 2 0 0 -1 -2 0 4 0 0 1 0] [ 0 -2 0 0 1 0 -2 0 0 0 1 1 0 1 0 0 0 0 4 1 0 1] [ 0 -2 0 1 1 0 -1 0 0 0 0 1 -1 2 0 0 0 0 1 4 1 0] [-1 2 2 0 1 0 -1 -1 0 -2 0 0 -2 0 3 1 0 1 0 1 6 1] [ 1 1 0 -1 2 1 -1 0 0 0 -1 0 -1 0 0 0 0 0 1 0 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 308. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -2 0 1 -2 1 2 -1 -1 0 0 1 0 -1 2 -2 0 -1 2 -1] [ 1 4 1 0 -1 0 0 0 0 -1 1 1 -1 -1 0 1 -1 -1 1 -2 2 -2] [ 1 1 4 -2 -1 0 0 0 -1 1 0 1 -1 1 1 1 -1 -2 -1 0 1 1] [-2 0 -2 6 2 -2 1 -2 -1 1 0 -2 1 0 -2 -1 -1 1 -1 2 -2 1] [ 0 -1 -1 2 4 -1 0 0 1 0 -2 -2 1 0 -1 0 0 0 -1 0 -2 0] [ 1 0 0 -2 -1 4 -1 2 2 -1 1 0 -1 0 2 0 2 0 1 0 0 0] [-2 0 0 1 0 -1 4 -2 -1 1 0 0 -1 -1 1 1 -2 0 1 -1 -2 -1] [ 1 0 0 -2 0 2 -2 4 2 -2 0 0 -1 -1 1 1 1 0 1 -1 1 -1] [ 2 0 -1 -1 1 2 -1 2 4 -2 -1 -1 -1 0 1 0 2 -1 1 -1 0 -2] [-1 -1 1 1 0 -1 1 -2 -2 4 0 0 0 1 -1 0 -1 1 -2 1 -1 2] [-1 1 0 0 -2 1 0 0 -1 0 4 0 -1 -1 1 0 0 1 1 1 0 1] [ 0 1 1 -2 -2 0 0 0 -1 0 0 4 -1 -1 0 1 -1 0 0 -2 1 -1] [ 0 -1 -1 1 1 -1 -1 -1 -1 0 -1 -1 4 1 -1 -2 1 1 -1 2 1 2] [ 1 -1 1 0 0 0 -1 -1 0 1 -1 -1 1 4 -1 -1 1 -1 -2 2 1 2] [ 0 0 1 -2 -1 2 1 1 1 -1 1 0 -1 -1 4 0 0 -1 2 0 -1 0] [-1 1 1 -1 0 0 1 1 0 0 0 1 -2 -1 0 4 -1 0 0 -2 0 -1] [ 2 -1 -1 -1 0 2 -2 1 2 -1 0 -1 1 1 0 -1 4 0 0 1 1 1] [-2 -1 -2 1 0 0 0 0 -1 1 1 0 1 -1 -1 0 0 4 0 1 0 1] [ 0 1 -1 -1 -1 1 1 1 1 -2 1 0 -1 -2 2 0 0 0 4 -2 0 -2] [-1 -2 0 2 0 0 -1 -1 -1 1 1 -2 2 2 0 -2 1 1 -2 6 0 4] [ 2 2 1 -2 -2 0 -2 1 0 -1 0 1 1 1 -1 0 1 0 0 0 6 -1] [-1 -2 1 1 0 0 -1 -1 -2 2 1 -1 2 2 0 -1 1 1 -2 4 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 309. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 -2 -1 -1 -1 2 2 -2 -2 1 0 1 -2 2 2 -1 -1] [ 1 4 -2 2 1 1 -1 0 1 -1 2 1 1 -2 1 1 1 1 1 -1 1 1] [-1 -2 4 -2 -1 1 1 1 1 2 -2 -2 1 1 0 -1 -1 1 0 -1 -1 -1] [ 1 2 -2 4 2 1 -1 -1 0 -2 1 0 -1 -1 0 0 2 -1 0 1 1 1] [ 2 1 -1 2 4 -1 -2 -2 0 -1 2 0 -2 -2 0 0 1 -2 0 2 -1 -1] [-1 1 1 1 -1 4 0 1 2 0 -1 -2 2 1 0 0 1 2 0 -2 1 1] [-2 -1 1 -1 -2 0 4 2 1 0 -2 0 2 2 0 0 0 2 0 -2 1 1] [-1 0 1 -1 -2 1 2 4 1 0 -1 1 1 1 1 -1 -1 3 0 -3 1 0] [-1 1 1 0 0 2 1 1 4 1 -1 -2 2 1 0 0 0 2 0 -2 1 1] [-1 -1 2 -2 -1 0 0 0 1 4 -1 -2 1 1 0 -1 -1 1 -1 -1 0 0] [ 2 2 -2 1 2 -1 -2 -1 -1 -1 4 1 -1 -2 0 0 0 -1 0 1 0 0] [ 2 1 -2 0 0 -2 0 1 -2 -2 1 6 -1 -1 1 1 0 0 2 0 -1 0] [-2 1 1 -1 -2 2 2 1 2 1 -1 -1 6 2 1 2 1 2 1 -2 0 2] [-2 -2 1 -1 -2 1 2 1 1 1 -2 -1 2 6 -2 1 1 0 -1 0 0 1] [ 1 1 0 0 0 0 0 1 0 0 0 1 1 -2 4 0 0 0 1 -1 0 0] [ 0 1 -1 0 0 0 0 -1 0 -1 0 1 2 1 0 4 2 -1 1 1 -1 1] [ 1 1 -1 2 1 1 0 -1 0 -1 0 0 1 1 0 2 4 -1 1 1 0 1] [-2 1 1 -1 -2 2 2 3 2 1 -1 0 2 0 0 -1 -1 6 0 -4 2 1] [ 2 1 0 0 0 0 0 0 0 -1 0 2 1 -1 1 1 1 0 4 0 -1 0] [ 2 -1 -1 1 2 -2 -2 -3 -2 -1 1 0 -2 0 -1 1 1 -4 0 6 -1 -1] [-1 1 -1 1 -1 1 1 1 1 0 0 -1 0 0 0 -1 0 2 -1 -1 4 1] [-1 1 -1 1 -1 1 1 0 1 0 0 0 2 1 0 1 1 1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 310. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 1 0 0 1 2 2 1 2 2 1 1 1 0 -2 0 -2 0 0 1] [ 0 6 -3 1 2 2 -1 0 3 -3 0 3 -3 1 1 1 0 -2 1 2 -2 -1] [-1 -3 6 -2 -1 1 1 1 -4 3 1 -4 2 -2 1 1 2 3 -1 -3 2 1] [ 1 1 -2 4 -1 -1 -1 0 2 0 0 2 -1 2 1 1 -1 -2 0 2 -2 -1] [ 0 2 -1 -1 4 0 1 0 1 -2 0 1 -1 0 0 1 0 1 0 -1 -1 1] [ 0 2 1 -1 0 4 -1 0 -1 -1 0 -1 -1 -1 1 0 0 1 0 -1 1 0] [ 1 -1 1 -1 1 -1 4 1 1 1 1 1 0 -1 1 1 0 0 0 0 1 0] [ 2 0 1 0 0 0 1 4 1 2 2 0 0 1 1 1 -1 0 -2 0 0 0] [ 2 3 -4 2 1 -1 1 1 6 -2 0 4 -2 1 1 1 -1 -3 0 3 -2 -1] [ 1 -3 3 0 -2 -1 1 2 -2 6 1 -1 3 0 1 0 1 0 -1 0 1 1] [ 2 0 1 0 0 0 1 2 0 1 4 1 0 1 1 1 -1 0 -2 0 0 0] [ 2 3 -4 2 1 -1 1 0 4 -1 1 6 -2 1 1 1 -1 -3 0 3 -2 -1] [ 1 -3 2 -1 -1 -1 0 0 -2 3 0 -2 6 0 -1 -2 1 1 0 -1 1 2] [ 1 1 -2 2 0 -1 -1 1 1 0 1 1 0 4 0 0 -2 -1 0 1 -1 -1] [ 1 1 1 1 0 1 1 1 1 1 1 1 -1 0 4 2 0 -1 -1 0 0 0] [ 0 1 1 1 1 0 1 1 1 0 1 1 -2 0 2 4 1 0 -1 0 -1 0] [-2 0 2 -1 0 0 0 -1 -1 1 -1 -1 1 -2 0 1 4 0 1 0 0 1] [ 0 -2 3 -2 1 1 0 0 -3 0 0 -3 1 -1 -1 0 0 6 -1 -4 2 2] [-2 1 -1 0 0 0 0 -2 0 -1 -2 0 0 0 -1 -1 1 -1 4 1 0 -1] [ 0 2 -3 2 -1 -1 0 0 3 0 0 3 -1 1 0 0 0 -4 1 6 -1 -2] [ 0 -2 2 -2 -1 1 1 0 -2 1 0 -2 1 -1 0 -1 0 2 0 -1 4 0] [ 1 -1 1 -1 1 0 0 0 -1 1 0 -1 2 -1 0 0 1 2 -1 -2 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 311. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 2 -2 -1 -1 -1 -1 1 -1 2 0 0 2 -1 2 2 -1 -1 0] [-2 4 1 -1 -2 2 1 1 0 0 1 1 -1 -1 -1 0 0 -2 -1 0 0 1] [ 0 1 4 1 -1 1 2 2 -1 0 2 2 1 -1 1 2 -1 -1 -1 -2 1 2] [ 0 -1 1 4 -1 0 0 2 1 -1 -1 2 0 1 1 -1 0 -1 1 1 0 0] [ 2 -2 -1 -1 4 -2 -1 -1 0 1 0 -1 2 0 1 1 -1 2 0 0 -1 0] [-2 2 1 0 -2 4 2 1 1 -1 0 2 -1 -1 0 0 0 -2 0 1 0 1] [-1 1 2 0 -1 2 4 2 -1 1 0 1 1 -2 0 0 0 -1 0 -1 0 2] [-1 1 2 2 -1 1 2 4 0 1 0 2 0 0 0 0 0 -2 0 0 0 2] [-1 0 -1 1 0 1 -1 0 4 -1 0 0 -2 1 1 -2 -1 0 0 1 -1 -1] [-1 0 0 -1 1 -1 1 1 -1 6 -2 1 -1 0 -1 -1 2 1 -3 1 1 1] [ 1 1 2 -1 0 0 0 0 0 -2 6 0 1 -1 0 3 -3 0 -1 -4 0 1] [-1 1 2 2 -1 2 1 2 0 1 0 6 -1 -1 1 0 1 -1 -1 2 0 1] [ 2 -1 1 0 2 -1 1 0 -2 -1 1 -1 6 -2 1 2 -1 0 2 -2 0 2] [ 0 -1 -1 1 0 -1 -2 0 1 0 -1 -1 -2 4 -1 0 0 0 -1 1 1 -1] [ 0 -1 1 1 1 0 0 0 1 -1 0 1 1 -1 4 -1 -1 0 1 0 -1 0] [ 2 0 2 -1 1 0 0 0 -2 -1 3 0 2 0 -1 6 -1 0 -1 -2 1 2] [-1 0 -1 0 -1 0 0 0 -1 2 -3 1 -1 0 -1 -1 4 0 0 2 1 0] [ 2 -2 -1 -1 2 -2 -1 -2 0 1 0 -1 0 0 0 0 0 4 0 0 0 -1] [ 2 -1 -1 1 0 0 0 0 0 -3 -1 -1 2 -1 1 -1 0 0 6 0 -2 0] [-1 0 -2 1 0 1 -1 0 1 1 -4 2 -2 1 0 -2 2 0 0 6 0 -1] [-1 0 1 0 -1 0 0 0 -1 1 0 0 0 1 -1 1 1 0 -2 0 4 0] [ 0 1 2 0 0 1 2 2 -1 1 1 1 2 -1 0 2 0 -1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 312. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 1 2 0 2 -1 0 1 -1 -1 1 0 -1 1 2 0 1 -2 0] [ 1 4 1 1 2 0 -1 0 0 1 -1 0 0 2 1 -1 -1 0 -1 -1 0 -1] [ 0 1 4 2 -1 0 1 0 0 1 -2 0 1 -1 1 -1 -1 0 -2 -2 -1 1] [ 2 1 2 4 -1 2 1 1 -1 0 -1 0 -1 1 0 -1 1 2 -1 -1 -1 1] [ 1 2 -1 -1 4 -1 -2 0 0 0 1 -1 0 2 0 0 0 0 1 1 0 -1] [ 2 0 0 2 -1 4 1 2 -1 0 0 -1 -2 1 -1 0 1 2 -1 0 0 1] [ 0 -1 1 1 -2 1 4 0 0 1 0 0 1 -1 -1 1 -1 0 0 0 1 1] [ 2 0 0 1 0 2 0 4 -1 -1 0 -1 -1 1 0 -1 2 2 0 0 -2 1] [-1 0 0 -1 0 -1 0 -1 4 0 0 2 1 1 -1 2 -1 -2 0 0 2 -2] [ 0 1 1 0 0 0 1 -1 0 4 -1 -1 1 0 0 0 -1 0 0 -1 1 0] [ 1 -1 -2 -1 1 0 0 0 0 -1 4 -1 0 -1 0 1 0 0 1 2 0 0] [-1 0 0 0 -1 -1 0 -1 2 -1 -1 4 1 0 -1 0 0 -1 0 -1 0 -2] [-1 0 1 -1 0 -2 1 -1 1 1 0 1 4 -2 1 0 -1 -2 1 0 0 0] [ 1 2 -1 1 2 1 -1 1 1 0 -1 0 -2 6 -2 1 1 1 0 0 2 -1] [ 0 1 1 0 0 -1 -1 0 -1 0 0 -1 1 -2 4 -2 -1 -1 0 0 -2 1] [-1 -1 -1 -1 0 0 1 -1 2 0 1 0 0 1 -2 4 0 -1 0 1 3 0] [ 1 -1 -1 1 0 1 -1 2 -1 -1 0 0 -1 1 -1 0 4 2 1 0 -1 1] [ 2 0 0 2 0 2 0 2 -2 0 0 -1 -2 1 -1 -1 2 4 0 0 -1 1] [ 0 -1 -2 -1 1 -1 0 0 0 0 1 0 1 0 0 0 1 0 4 1 0 0] [ 1 -1 -2 -1 1 0 0 0 0 -1 2 -1 0 0 0 1 0 0 1 4 1 0] [-2 0 -1 -1 0 0 1 -2 2 1 0 0 0 2 -2 3 -1 -1 0 1 6 -1] [ 0 -1 1 1 -1 1 1 1 -2 0 0 -2 0 -1 1 0 1 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 313. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 1 -2 -1 -1 1 -1 1 -2 -2 0 0 1 2 1 0 -1 -1 0] [ 0 4 -1 0 1 1 2 2 1 -1 1 -1 0 1 -2 1 0 -1 1 1 -1 1] [ 1 -1 4 -1 0 0 0 -1 0 1 -1 1 -2 1 -1 -1 -1 2 0 -2 0 -1] [ 0 0 -1 4 -1 0 0 -1 0 1 -1 -2 0 -1 2 -1 0 -1 -1 1 0 2] [ 1 1 0 -1 4 -1 1 1 2 -2 2 -1 -2 1 0 2 2 -1 -1 1 -2 0] [-2 1 0 0 -1 4 2 1 0 1 -2 1 0 1 -2 0 -2 0 0 0 1 0] [-1 2 0 0 1 2 4 2 0 -1 -1 -1 0 2 -1 0 -1 0 0 0 -1 0] [-1 2 -1 -1 1 1 2 4 1 -2 1 0 0 1 -2 1 0 -1 1 1 0 0] [ 1 1 0 0 2 0 0 1 4 -1 1 0 -3 1 0 2 2 -1 0 1 -1 0] [-1 -1 1 1 -2 1 -1 -2 -1 4 -2 1 0 0 0 -1 -2 1 -1 -1 1 0] [ 1 1 -1 -1 2 -2 -1 1 1 -2 4 -1 0 0 0 1 2 -1 1 1 -1 0] [-2 -1 1 -2 -1 1 -1 0 0 1 -1 6 1 -1 0 -1 -1 1 1 -1 2 0] [-2 0 -2 0 -2 0 0 0 -3 0 0 1 6 -2 1 -2 -1 0 2 0 2 1] [ 0 1 1 -1 1 1 2 1 1 0 0 -1 -2 4 -1 1 -1 1 0 -1 -1 -2] [ 0 -2 -1 2 0 -2 -1 -2 0 0 0 0 1 -1 6 -1 1 -1 -1 0 0 1] [ 1 1 -1 -1 2 0 0 1 2 -1 1 -1 -2 1 -1 4 2 -1 -1 1 -1 0] [ 2 0 -1 0 2 -2 -1 0 2 -2 2 -1 -1 -1 1 2 4 -1 0 1 -1 1] [ 1 -1 2 -1 -1 0 0 -1 -1 1 -1 1 0 1 -1 -1 -1 4 1 -2 1 -1] [ 0 1 0 -1 -1 0 0 1 0 -1 1 1 2 0 -1 -1 0 1 4 -1 1 0] [-1 1 -2 1 1 0 0 1 1 -1 1 -1 0 -1 0 1 1 -2 -1 4 0 1] [-1 -1 0 0 -2 1 -1 0 -1 1 -1 2 2 -1 0 -1 -1 1 1 0 4 0] [ 0 1 -1 2 0 0 0 0 0 0 0 0 1 -2 1 0 1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 314. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 2 2 2 -2 -1 0 -1 -1 1 -1 0 2 1 -2 0 0 1 1 1] [-2 4 1 -1 -2 -1 2 1 1 1 1 0 1 0 -2 -1 0 -1 0 1 -1 1] [ 0 1 4 -1 -1 1 1 2 0 1 2 -1 2 1 0 1 -1 1 1 2 -1 1] [ 2 -1 -1 4 1 0 -1 -2 1 -2 -2 0 -1 1 0 1 -2 1 1 1 0 1] [ 2 -2 -1 1 4 1 -2 -1 -1 0 -2 0 -1 0 2 1 0 1 -1 -1 2 0] [ 2 -1 1 0 1 4 -2 -1 -1 -1 1 1 0 -1 2 0 -1 1 1 0 1 0] [-2 2 1 -1 -2 -2 4 2 0 1 1 0 1 0 -2 0 0 0 0 0 -2 0] [-1 1 2 -2 -1 -1 2 4 0 2 2 0 2 0 -1 0 0 0 0 0 -1 0] [ 0 1 0 1 -1 -1 0 0 4 -1 -1 0 0 2 -1 0 0 -2 1 1 0 0] [-1 1 1 -2 0 -1 1 2 -1 4 0 0 0 0 -1 -1 1 -1 -1 0 -1 0] [-1 1 2 -2 -2 1 1 2 -1 0 6 1 3 -1 0 -1 0 2 1 -1 -1 1] [ 1 0 -1 0 0 1 0 0 0 0 1 4 -1 -2 0 -2 -1 0 1 -2 0 0] [-1 1 2 -1 -1 0 1 2 0 0 3 -1 4 0 0 0 0 1 0 0 0 0] [ 0 0 1 1 0 -1 0 0 2 0 -1 -2 0 4 -1 2 0 0 1 2 -1 0] [ 2 -2 0 0 2 2 -2 -1 -1 -1 0 0 0 -1 4 1 0 0 -1 -1 2 0] [ 1 -1 1 1 1 0 0 0 0 -1 -1 -2 0 2 1 4 -1 1 0 2 0 0] [-2 0 -1 -2 0 -1 0 0 0 1 0 -1 0 0 0 -1 4 -1 -1 -1 1 -1] [ 0 -1 1 1 1 1 0 0 -2 -1 2 0 1 0 0 1 -1 6 2 0 0 0] [ 0 0 1 1 -1 1 0 0 1 -1 1 1 0 1 -1 0 -1 2 4 0 -1 0] [ 1 1 2 1 -1 0 0 0 1 0 -1 -2 0 2 -1 2 -1 0 0 6 0 1] [ 1 -1 -1 0 2 1 -2 -1 0 -1 -1 0 0 -1 2 0 1 0 -1 0 4 -1] [ 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 315. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -1 2 1 1 -1 2 0 2 1 -2 -2 1 -1 -1 1 1 -1 1] [ 1 4 -1 1 -1 2 1 1 1 1 0 1 -1 1 0 1 -1 -1 1 1 -1 2] [ 2 -1 4 0 -1 0 0 0 -2 0 1 1 1 -1 0 1 -1 -1 0 1 -1 0] [ 1 1 0 4 -2 0 0 0 1 0 1 1 0 1 0 -1 1 -2 0 2 -1 1] [-1 -1 -1 -2 4 0 -1 0 0 0 -1 -1 0 -1 1 1 0 2 1 -2 1 0] [ 2 2 0 0 0 4 1 2 -1 1 0 0 -1 -1 -2 2 -2 0 2 0 0 2] [ 1 1 0 0 -1 1 4 -1 -1 2 -1 1 1 1 -2 0 -2 0 0 0 -1 1] [ 1 1 0 0 0 2 -1 4 1 -1 0 0 -2 -2 -1 1 -1 0 1 0 0 1] [-1 1 -2 1 0 -1 -1 1 4 -1 -1 0 -1 0 1 -1 1 0 -1 0 0 0] [ 2 1 0 0 0 1 2 -1 -1 4 0 2 1 0 -2 1 -1 0 0 0 0 1] [ 0 0 1 1 -1 0 -1 0 -1 0 4 1 -1 0 1 0 1 0 1 0 -1 0] [ 2 1 1 1 -1 0 1 0 0 2 1 4 1 -1 -1 0 0 -1 0 1 -2 1] [ 1 -1 1 0 0 -1 1 -2 -1 1 -1 1 4 0 -1 -1 0 -1 -1 1 0 0] [-2 1 -1 1 -1 -1 1 -2 0 0 0 -1 0 6 0 0 0 -2 -1 1 0 1] [-2 0 0 0 1 -2 -2 -1 1 -2 1 -1 -1 0 6 0 2 1 1 0 -1 -1] [ 1 1 1 -1 1 2 0 1 -1 1 0 0 -1 0 0 4 -1 0 1 0 0 2] [-1 -1 -1 1 0 -2 -2 -1 1 -1 1 0 0 0 2 -1 4 0 0 0 0 -1] [-1 -1 -1 -2 2 0 0 0 0 0 0 -1 -1 -2 1 0 0 4 1 -2 1 -1] [ 1 1 0 0 1 2 0 1 -1 0 1 0 -1 -1 1 1 0 1 4 -1 -1 1] [ 1 1 1 2 -2 0 0 0 0 0 0 1 1 1 0 0 0 -2 -1 4 0 1] [-1 -1 -1 -1 1 0 -1 0 0 0 -1 -2 0 0 -1 0 0 1 -1 0 4 -1] [ 1 2 0 1 0 2 1 1 0 1 0 1 0 1 -1 2 -1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 316. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 2 1 2 1 0 1 -1 0 -1 2 -1 -1 -2 -1 0 -1 -1] [ 1 4 -1 -2 0 0 2 1 -1 1 1 1 -1 1 0 1 1 -2 -2 1 1 0] [-1 -1 4 0 -1 -1 0 0 0 1 -1 0 -1 0 -1 0 0 -1 0 1 0 2] [-1 -2 0 4 -1 1 -2 -1 0 -1 0 -1 2 1 1 -1 1 2 0 0 -1 -1] [ 2 0 -1 -1 4 2 1 2 1 1 0 0 1 -2 2 0 -1 -1 -1 -1 -1 0] [ 2 0 -1 1 2 4 1 2 0 0 0 -1 2 0 2 -1 0 0 -1 -1 -1 -1] [ 1 2 0 -2 1 1 4 2 -1 0 0 0 0 0 -1 1 0 -1 -2 0 1 0] [ 2 1 0 -1 2 2 2 4 1 0 0 0 0 0 1 -1 0 -2 -1 0 -1 0] [ 1 -1 0 0 1 0 -1 1 4 -1 0 1 -1 -2 1 -1 -1 0 2 1 -2 1] [ 0 1 1 -1 1 0 0 0 -1 4 -1 0 0 0 1 1 1 -1 -2 0 0 1] [ 1 1 -1 0 0 0 0 0 0 -1 4 -1 0 0 1 -1 0 -2 1 0 0 0] [-1 1 0 -1 0 -1 0 0 1 0 -1 4 -1 0 -1 0 0 0 1 0 1 1] [ 0 -1 -1 2 1 2 0 0 -1 0 0 -1 4 1 1 -1 0 2 -1 -1 0 -1] [-1 1 0 1 -2 0 0 0 -2 0 0 0 1 4 -1 -1 1 0 -1 0 1 -1] [ 2 0 -1 1 2 2 -1 1 1 1 1 -1 1 -1 4 -1 0 -1 -1 0 -2 0] [-1 1 0 -1 0 -1 1 -1 -1 1 -1 0 -1 -1 -1 4 1 1 -1 1 1 0] [-1 1 0 1 -1 0 0 0 -1 1 0 0 0 1 0 1 4 1 -1 0 1 -1] [-2 -2 -1 2 -1 0 -1 -2 0 -1 -2 0 2 0 -1 1 1 6 1 0 1 -1] [-1 -2 0 0 -1 -1 -2 -1 2 -2 1 1 -1 -1 -1 -1 -1 1 6 -1 0 1] [ 0 1 1 0 -1 -1 0 0 1 0 0 0 -1 0 0 1 0 0 -1 4 0 1] [-1 1 0 -1 -1 -1 1 -1 -2 0 0 1 0 1 -2 1 1 1 0 0 4 -1] [-1 0 2 -1 0 -1 0 0 1 1 0 1 -1 -1 0 0 -1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 317. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 0 1 1 2 1 2 0 1 1 1 -1 -1 0 -1 1 1 -1 1] [ 1 4 -1 0 1 2 2 1 -1 1 0 0 0 0 -2 0 -1 -2 0 2 0 0] [-1 -1 4 -1 1 0 0 0 0 0 0 1 1 1 0 -1 -1 0 1 0 -1 1] [-1 0 -1 4 0 1 0 0 1 0 0 0 -2 -1 0 2 -1 0 -1 1 1 -2] [ 0 1 1 0 6 3 0 0 -2 -2 2 0 1 2 -2 -1 1 1 1 3 -2 0] [ 1 2 0 1 3 6 1 2 0 0 2 1 -1 2 -3 -1 1 0 2 4 -2 1] [ 1 2 0 0 0 1 4 2 1 1 0 1 0 0 -1 1 -2 -2 1 2 0 0] [ 2 1 0 0 0 2 2 4 2 2 0 2 0 0 -2 -1 -1 -1 2 1 0 0] [ 1 -1 0 1 -2 0 1 2 4 2 -1 2 0 0 0 0 -1 -1 1 0 0 0] [ 2 1 0 0 -2 0 1 2 2 4 -1 2 0 0 0 0 -1 -2 0 0 0 0] [ 0 0 0 0 2 2 0 0 -1 -1 4 -1 0 1 -1 0 2 2 0 2 -1 0] [ 1 0 1 0 0 1 1 2 2 2 -1 4 0 1 0 0 -1 -1 2 1 -1 0] [ 1 0 1 -2 1 -1 0 0 0 0 0 0 4 0 0 -2 0 0 0 -1 -1 1] [ 1 0 1 -1 2 2 0 0 0 0 1 1 0 4 -1 -1 1 0 1 2 -2 2] [-1 -2 0 0 -2 -3 -1 -2 0 0 -1 0 0 -1 4 1 0 0 -1 -2 1 -1] [-1 0 -1 2 -1 -1 1 -1 0 0 0 0 -2 -1 1 4 -1 0 -1 1 1 -2] [ 0 -1 -1 -1 1 1 -2 -1 -1 -1 2 -1 0 1 0 -1 4 2 0 0 -1 1] [-1 -2 0 0 1 0 -2 -1 -1 -2 2 -1 0 0 0 0 2 4 0 0 0 0] [ 1 0 1 -1 1 2 1 2 1 0 0 2 0 1 -1 -1 0 0 4 1 -1 1] [ 1 2 0 1 3 4 2 1 0 0 2 1 -1 2 -2 1 0 0 1 6 -1 0] [-1 0 -1 1 -2 -2 0 0 0 0 -1 -1 -1 -2 1 1 -1 0 -1 -1 4 -2] [ 1 0 1 -2 0 1 0 0 0 0 0 0 1 2 -1 -2 1 0 1 0 -2 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 318. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 -1 1 1 1 -2 1 -1 -1 2 -1 -1 0 2 2 -1 1 1 1] [ 1 4 1 -1 0 0 0 0 -2 2 0 -2 0 -1 1 0 1 -1 -1 2 2 -1] [-2 1 4 -2 1 0 -1 -1 0 1 0 1 -1 0 0 -1 -1 -1 0 1 0 -1] [ 1 -1 -2 4 -1 0 1 1 -1 0 -1 -1 1 -1 -1 1 0 2 0 0 1 1] [-1 0 1 -1 4 0 -2 1 0 0 2 -1 -1 0 1 -2 0 1 1 0 -2 0] [ 1 0 0 0 0 4 -1 2 -1 0 0 0 1 -1 -2 1 0 2 1 0 1 2] [ 1 0 -1 1 -2 -1 4 -2 -1 0 -2 1 1 1 -1 0 0 -1 -2 0 2 -1] [ 1 0 -1 1 1 2 -2 4 -1 0 1 -2 1 -2 -1 0 0 2 1 0 -1 2] [-2 -2 0 -1 0 -1 -1 -1 4 -2 1 2 -1 1 1 0 -1 -1 1 -2 -2 0] [ 1 2 1 0 0 0 0 0 -2 4 -1 0 1 0 0 0 0 1 -1 2 1 -1] [-1 0 0 -1 2 0 -2 1 1 -1 4 -2 -2 -1 2 0 0 -1 1 -1 -2 1] [-1 -2 1 -1 -1 0 1 -2 2 0 -2 6 0 3 -1 -1 -2 0 -1 0 -1 -1] [ 2 0 -1 1 -1 1 1 1 -1 1 -2 0 4 -1 -2 0 1 2 -1 0 1 1] [-1 -1 0 -1 0 -1 1 -2 1 0 -1 3 -1 4 0 -1 -1 -1 0 0 0 -2] [-1 1 0 -1 1 -2 -1 -1 1 0 2 -1 -2 0 4 0 0 -2 0 0 -1 -1] [ 0 0 -1 1 -2 1 0 0 0 0 0 -1 0 -1 0 4 0 0 1 0 2 1] [ 2 1 -1 0 0 0 0 0 -1 0 0 -2 1 -1 0 0 4 1 -1 0 0 0] [ 2 -1 -1 2 1 2 -1 2 -1 1 -1 0 2 -1 -2 0 1 6 1 1 0 1] [-1 -1 0 0 1 1 -2 1 1 -1 1 -1 -1 0 0 1 -1 1 4 -1 0 1] [ 1 2 1 0 0 0 0 0 -2 2 -1 0 0 0 0 0 0 1 -1 4 2 -1] [ 1 2 0 1 -2 1 2 -1 -2 1 -2 -1 1 0 -1 2 0 0 0 2 6 -1] [ 1 -1 -1 1 0 2 -1 2 0 -1 1 -1 1 -2 -1 1 0 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 319. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 2 2 -2 -1 1 1 2 -1 2 1 1 1 0 1 2 -2 -1 -1 0] [ 2 4 -2 1 2 0 -2 -1 0 1 1 1 2 0 0 1 2 2 -2 1 -2 0] [-2 -2 4 -1 -2 0 2 1 0 -2 1 0 -2 0 -1 0 -1 -2 1 -1 1 1] [ 2 1 -1 4 0 0 0 0 0 0 0 2 -1 0 -1 1 -1 0 -2 -1 -1 -1] [ 2 2 -2 0 4 0 -2 -1 1 1 0 1 1 0 1 -1 1 2 -2 0 -1 1] [-2 0 0 0 0 4 -1 -2 0 -2 2 0 -1 -2 -1 0 0 -1 0 0 0 0] [-1 -2 2 0 -2 -1 4 2 -1 -1 0 -1 -2 0 -1 0 -2 -2 2 0 0 0] [ 1 -1 1 0 -1 -2 2 4 1 1 0 1 -1 0 1 0 -1 -1 1 0 0 0] [ 1 0 0 0 1 0 -1 1 6 2 -2 3 -1 -1 1 -2 1 1 -3 -3 1 -1] [ 2 1 -2 0 1 -2 -1 1 2 6 -1 1 0 2 2 -1 1 2 -2 -1 0 -1] [-1 1 1 0 0 2 0 0 -2 -1 6 1 -2 -1 -1 2 0 -1 1 2 -2 2] [ 2 1 0 2 1 0 -1 1 3 1 1 6 -2 -1 -1 1 1 1 -3 -1 -1 1] [ 1 2 -2 -1 1 -1 -2 -1 -1 0 -2 -2 6 0 2 0 2 1 1 2 0 0] [ 1 0 0 0 0 -2 0 0 -1 2 -1 -1 0 4 0 0 0 1 -1 -1 1 0] [ 1 0 -1 -1 1 -1 -1 1 1 2 -1 -1 2 0 4 -2 0 0 1 0 0 0] [ 0 1 0 1 -1 0 0 0 -2 -1 2 1 0 0 -2 4 1 0 0 2 -1 1] [ 1 2 -1 -1 1 0 -2 -1 1 1 0 1 2 0 0 1 4 2 -1 0 0 1] [ 2 2 -2 0 2 -1 -2 -1 1 2 -1 1 1 1 0 0 2 4 -2 0 0 0] [-2 -2 1 -2 -2 0 2 1 -3 -2 1 -3 1 -1 1 0 -1 -2 6 2 0 1] [-1 1 -1 -1 0 0 0 0 -3 -1 2 -1 2 -1 0 2 0 0 2 6 -1 1] [-1 -2 1 -1 -1 0 0 0 1 0 -2 -1 0 1 0 -1 0 0 0 -1 4 -1] [ 0 0 1 -1 1 0 0 0 -1 -1 2 1 0 0 0 1 1 0 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 320. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 1 -2 -1 2 0 -1 -1 -1 -1 -1 2 1 -2 -1 0 -2 0] [-1 4 -2 0 -1 1 1 2 -1 0 0 2 0 1 -1 0 0 1 -1 0 1 -1] [ 2 -2 4 -1 0 -1 -1 -2 0 1 -1 -2 -1 0 0 0 1 -2 -1 1 0 0] [ 0 0 -1 4 0 1 1 2 1 0 -1 0 0 -2 -1 0 -2 -1 2 0 -1 1] [ 0 -1 0 0 4 -1 0 0 0 -2 1 1 0 0 0 0 -1 0 2 -2 -2 2] [ 1 1 -1 1 -1 4 -1 1 2 0 0 -1 -1 0 -1 1 0 0 -1 0 -1 0] [-2 1 -1 1 0 -1 4 2 -2 0 0 2 0 0 1 -2 -1 0 2 0 0 0] [-1 2 -2 2 0 1 2 4 -1 0 0 1 0 0 -1 -1 -2 0 1 0 0 0] [ 2 -1 0 1 0 2 -2 -1 4 -1 0 -1 -1 -1 -1 2 0 -1 0 -1 -2 0] [ 0 0 1 0 -2 0 0 0 -1 4 0 -1 1 1 1 0 1 0 -2 2 1 -1] [-1 0 -1 -1 1 0 0 0 0 0 4 0 0 1 0 -1 -1 1 1 -2 0 1] [-1 2 -2 0 1 -1 2 1 -1 -1 0 6 2 1 1 0 1 0 2 -1 -2 -1] [-1 0 -1 0 0 -1 0 0 -1 1 0 2 4 0 2 0 1 0 1 1 0 0] [-1 1 0 -2 0 0 0 0 -1 1 1 1 0 4 0 0 1 1 -2 0 1 -1] [-1 -1 0 -1 0 -1 1 -1 -1 1 0 1 2 0 4 -1 1 0 1 1 -1 0] [ 2 0 0 0 0 1 -2 -1 2 0 -1 0 0 0 -1 4 2 0 -2 0 -1 0] [ 1 0 1 -2 -1 0 -1 -2 0 1 -1 1 1 1 1 2 4 0 -2 1 0 -1] [-2 1 -2 -1 0 0 0 0 -1 0 1 0 0 1 0 0 0 4 -1 0 2 0] [-1 -1 -1 2 2 -1 2 1 0 -2 1 2 1 -2 1 -2 -2 -1 6 -2 -2 2] [ 0 0 1 0 -2 0 0 0 -1 2 -2 -1 1 0 1 0 1 0 -2 4 2 -1] [-2 1 0 -1 -2 -1 0 0 -2 1 0 -2 0 1 -1 -1 0 2 -2 2 6 -1] [ 0 -1 0 1 2 0 0 0 0 -1 1 -1 0 -1 0 0 -1 0 2 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 321. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 -1 1 -1 0 1 -1 -2 -1 -1 -2 -1 -1 2 -1 0 1 -1 0] [ 0 4 -1 1 2 2 2 0 1 1 1 2 -1 1 2 1 0 -1 1 1 -1 1] [ 1 -1 4 0 0 -1 -2 -1 0 0 0 0 1 -2 0 1 -1 1 1 -1 -1 -1] [-2 1 0 4 2 1 2 0 -1 1 2 1 1 0 1 1 -2 0 0 0 0 0] [-1 2 0 2 4 2 1 0 1 2 1 2 -1 0 2 2 -1 0 0 0 0 0] [ 1 2 -1 1 2 4 2 1 1 1 0 0 -1 -1 1 0 1 -1 -1 1 -1 1] [-1 2 -2 2 1 2 6 2 -1 1 2 1 0 0 0 -1 0 0 1 0 -1 2] [ 0 0 -1 0 0 1 2 4 -1 -1 0 0 0 1 0 0 0 -1 -1 1 0 2] [ 1 1 0 -1 1 1 -1 -1 4 0 -1 1 0 -1 1 0 2 -1 1 1 -1 0] [-1 1 0 1 2 1 1 -1 0 4 0 0 -1 0 1 1 0 1 0 -1 -1 -1] [-2 1 0 2 1 0 2 0 -1 0 4 2 0 0 1 1 -2 0 1 0 0 0] [-1 2 0 1 2 0 1 0 1 0 2 4 0 0 2 2 -1 0 2 0 0 0] [-1 -1 1 1 -1 -1 0 0 0 -1 0 0 4 -1 0 0 -1 1 1 -1 0 0] [-2 1 -2 0 0 -1 0 1 -1 0 0 0 -1 6 1 0 -1 0 -1 0 2 0] [-1 2 0 1 2 1 0 0 1 1 1 2 0 1 4 2 -1 -1 0 0 0 0] [-1 1 1 1 2 0 -1 0 0 1 1 2 0 0 2 4 -1 0 0 0 0 0] [ 2 0 -1 -2 -1 1 0 0 2 0 -2 -1 -1 -1 -1 -1 4 -1 0 1 -1 1] [-1 -1 1 0 0 -1 0 -1 -1 1 0 0 1 0 -1 0 -1 4 1 -2 1 -1] [ 0 1 1 0 0 -1 1 -1 1 0 1 2 1 -1 0 0 0 1 4 -1 -1 0] [ 1 1 -1 0 0 1 0 1 1 -1 0 0 -1 0 0 0 1 -2 -1 4 0 1] [-1 -1 -1 0 0 -1 -1 0 -1 -1 0 0 0 2 0 0 -1 1 -1 0 4 -1] [ 0 1 -1 0 0 1 2 2 0 -1 0 0 0 0 0 0 1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 322. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 -1 0 -2 1 0 0 2 1 2 -1 2 -1 -1 1 -2 -1 1 -1] [-1 4 -2 2 -1 -1 1 -2 -1 -1 0 -2 -1 0 1 -1 0 -2 0 0 -1 -1] [ 2 -2 4 -2 1 0 -1 2 0 0 1 2 1 0 1 1 -1 2 -1 0 0 1] [-1 2 -2 4 0 -1 1 -2 0 1 -1 -1 0 1 1 0 -1 -2 1 1 -1 -1] [-1 -1 1 0 4 -1 0 0 1 0 -1 1 1 0 -1 1 -1 0 1 0 0 0] [ 0 -1 0 -1 -1 4 0 0 1 1 -1 -1 -1 0 1 -1 1 0 1 0 0 0] [-2 1 -1 1 0 0 4 -1 0 1 -1 -2 -1 0 0 0 1 0 1 0 -2 1] [ 1 -2 2 -2 0 0 -1 4 0 0 0 2 1 1 0 1 0 2 -1 1 1 2] [ 0 -1 0 0 1 1 0 0 4 2 -2 1 1 -1 1 -1 1 -1 1 -1 0 0] [ 0 -1 0 1 0 1 1 0 2 4 -2 0 1 0 2 -1 0 0 0 0 -1 0] [ 2 0 1 -1 -1 -1 -1 0 -2 -2 4 0 0 -1 0 0 0 1 -1 -1 1 0] [ 1 -2 2 -1 1 -1 -2 2 1 0 0 4 1 0 0 1 -1 1 0 0 1 1] [ 2 -1 1 0 1 -1 -1 1 1 1 0 1 4 -1 1 -1 -1 1 -1 -1 0 -1] [-1 0 0 1 0 0 0 1 -1 0 -1 0 -1 4 0 2 0 0 0 2 0 1] [ 2 1 1 1 -1 1 0 0 1 2 0 0 1 0 6 -1 -1 -1 0 0 0 0] [-1 -1 1 0 1 -1 0 1 -1 -1 0 1 -1 2 -1 4 -1 0 1 2 1 2] [-1 0 -1 -1 -1 1 1 0 1 0 0 -1 -1 0 -1 -1 4 0 0 -1 0 1] [ 1 -2 2 -2 0 0 0 2 -1 0 1 1 1 0 -1 0 0 4 -1 0 0 1] [-2 0 -1 1 1 1 1 -1 1 0 -1 0 -1 0 0 1 0 -1 4 0 0 1] [-1 0 0 1 0 0 0 1 -1 0 -1 0 -1 2 0 2 -1 0 0 4 1 1] [ 1 -1 0 -1 0 0 -2 1 0 -1 1 1 0 0 0 1 0 0 0 1 4 0] [-1 -1 1 -1 0 0 1 2 0 0 0 1 -1 1 0 2 1 1 1 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 323. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 1 -1 -1 -1 -1 0 -1 1 2 0 1 0 -2 0 2] [ 0 4 -1 -1 1 2 -1 -1 -1 2 2 1 -1 0 -1 0 -2 2 1 1 -2 2] [ 1 -1 4 0 0 0 -1 -1 -1 0 0 0 1 1 1 -1 2 1 1 0 -1 -1] [ 2 -1 0 4 -2 -1 0 2 0 -2 -1 -2 1 0 1 1 -1 1 -1 -2 2 0] [-2 1 0 -2 4 2 -2 -2 1 2 1 0 0 0 0 -2 -1 1 1 2 0 -1] [-1 2 0 -1 2 4 -1 -1 -1 1 2 0 0 0 0 -1 -2 2 2 1 0 1] [ 1 -1 -1 0 -2 -1 4 2 -1 -1 -1 0 0 -1 0 2 0 -2 -1 -1 1 2] [ 1 -1 -1 2 -2 -1 2 4 0 -1 0 0 1 -1 1 1 0 0 -2 -1 1 1] [-1 -1 -1 0 1 -1 -1 0 4 -1 -1 0 1 -1 0 0 1 0 -1 0 0 -1] [-1 2 0 -2 2 1 -1 -1 -1 4 1 1 -1 0 -1 -1 -1 1 1 2 -1 0] [-1 2 0 -1 1 2 -1 0 -1 1 4 1 0 0 0 -1 -1 2 0 1 -1 1] [-1 1 0 -2 0 0 0 0 0 1 1 4 0 1 0 -1 2 -1 0 1 -3 1] [ 0 -1 1 1 0 0 0 1 1 -1 0 0 4 1 2 0 0 1 0 0 0 -1] [-1 0 1 0 0 0 -1 -1 -1 0 0 1 1 4 1 -1 1 -1 1 1 -1 -2] [ 1 -1 1 1 0 0 0 1 0 -1 0 0 2 1 4 0 1 1 0 -1 0 -1] [ 2 0 -1 1 -2 -1 2 1 0 -1 -1 -1 0 -1 0 4 0 0 0 -2 0 2] [ 0 -2 2 -1 -1 -2 0 0 1 -1 -1 2 0 1 1 0 6 -2 0 0 -2 -1] [ 1 2 1 1 1 2 -2 0 0 1 2 -1 1 -1 1 0 -2 6 0 0 0 1] [ 0 1 1 -1 1 2 -1 -2 -1 1 0 0 0 1 0 0 0 0 4 0 -1 0] [-2 1 0 -2 2 1 -1 -1 0 2 1 1 0 1 -1 -2 0 0 0 4 0 -1] [ 0 -2 -1 2 0 0 1 1 0 -1 -1 -3 0 -1 0 0 -2 0 -1 0 6 -1] [ 2 2 -1 0 -1 1 2 1 -1 0 1 1 -1 -2 -1 2 -1 1 0 -1 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 324. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 -1 1 0 0 0 0 1 1 2 1 0 2 2 0 0 -1 0] [-2 4 -2 1 -1 2 0 1 0 1 -1 1 -1 -2 1 -1 -1 -2 -1 -1 0 1] [ 2 -2 4 -2 -1 -2 0 0 0 -1 1 -1 0 2 -1 1 1 1 -1 1 0 1] [-2 1 -2 4 2 1 0 1 0 0 0 0 -1 -2 1 0 -2 -2 1 0 0 0] [-1 -1 -1 2 4 -1 0 -1 0 0 0 0 1 -1 -1 0 -1 -1 2 0 0 0] [-1 2 -2 1 -1 4 -1 1 0 1 -1 1 0 0 2 0 0 -1 0 -1 0 -1] [ 1 0 0 0 0 -1 4 0 -1 1 1 0 1 0 -1 1 -1 0 1 1 1 1] [ 0 1 0 1 -1 1 0 4 -1 -1 0 0 -1 1 1 0 1 0 0 0 -1 1] [ 0 0 0 0 0 0 -1 -1 4 0 -2 1 0 -2 2 -2 0 0 -1 -2 -1 -1] [ 0 1 -1 0 0 1 1 -1 0 4 -1 0 1 0 0 0 0 0 1 -1 1 0] [ 0 -1 1 0 0 -1 1 0 -2 -1 4 -2 0 0 -1 2 -1 0 0 2 1 1] [ 1 1 -1 0 0 1 0 0 1 0 -2 4 1 -1 1 -2 1 0 0 -2 -2 -1] [ 1 -1 0 -1 1 0 1 -1 0 1 0 1 4 0 0 0 1 0 2 0 0 0] [ 2 -2 2 -2 -1 0 0 1 -2 0 0 -1 0 6 -2 2 2 2 0 1 1 0] [ 1 1 -1 1 -1 2 -1 1 2 0 -1 1 0 -2 6 -2 0 -1 0 -1 -2 0] [ 0 -1 1 0 0 0 1 0 -2 0 2 -2 0 2 -2 4 0 0 0 2 2 1] [ 2 -1 1 -2 -1 0 -1 1 0 0 -1 1 1 2 0 0 4 2 0 -1 -1 0] [ 2 -2 1 -2 -1 -1 0 0 0 0 0 0 0 2 -1 0 2 4 0 0 0 -1] [ 0 -1 -1 1 2 0 1 0 -1 1 0 0 2 0 0 0 0 0 4 0 0 0] [ 0 -1 1 0 0 -1 1 0 -2 -1 2 -2 0 1 -1 2 -1 0 0 4 2 1] [-1 0 0 0 0 0 1 -1 -1 1 1 -2 0 1 -2 2 -1 0 0 2 4 0] [ 0 1 1 0 0 -1 1 1 -1 0 1 -1 0 0 0 1 0 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 325. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 2 -2 -1 0 0 0 -1 -1 -2 1 1 -1 1 2 -1 1 0 0] [-2 4 0 0 -2 2 1 0 1 1 0 -1 1 0 -1 0 -1 -2 2 1 1 1] [ 0 0 4 -1 0 1 2 2 -2 0 1 -2 -2 -2 -1 1 -1 -2 -1 -2 1 1] [ 1 0 -1 4 -1 0 0 1 2 1 0 0 0 1 1 1 0 0 0 1 0 -1] [ 2 -2 0 -1 4 -2 -1 0 0 -1 0 0 -2 0 1 0 1 1 -1 0 -1 1] [-2 2 1 0 -2 4 2 0 -1 0 0 0 0 -1 -2 1 0 -1 0 0 0 0] [-1 1 2 0 -1 2 4 0 -2 0 0 0 0 -2 -1 2 0 -2 0 0 0 0] [ 0 0 2 1 0 0 0 4 0 0 1 -2 -2 0 0 1 -1 -1 -1 -2 1 1] [ 0 1 -2 2 0 -1 -2 0 6 1 1 -1 1 1 0 0 -1 0 2 0 -1 -1] [ 0 1 0 1 -1 0 0 0 1 4 -1 -2 -1 1 -1 0 -2 -2 1 -1 1 -1] [-1 0 1 0 0 0 0 1 1 -1 4 1 0 -2 0 1 0 0 0 -2 0 0] [-1 -1 -2 0 0 0 0 -2 -1 -2 1 6 3 -1 2 0 1 1 -1 2 -2 0] [-2 1 -2 0 -2 0 0 -2 1 -1 0 3 6 0 1 -1 -1 -1 2 2 -1 0] [ 1 0 -2 1 0 -1 -2 0 1 1 -2 -1 0 4 0 -1 0 1 0 1 1 0] [ 1 -1 -1 1 1 -2 -1 0 0 -1 0 2 1 0 4 -1 0 0 0 2 -1 1] [-1 0 1 1 0 1 2 1 0 0 1 0 -1 -1 -1 4 1 -1 -1 -1 0 0] [ 1 -1 -1 0 1 0 0 -1 -1 -2 0 1 -1 0 0 1 4 3 -1 1 0 0] [ 2 -2 -2 0 1 -1 -2 -1 0 -2 0 1 -1 1 0 -1 3 6 -1 1 0 -1] [-1 2 -1 0 -1 0 0 -1 2 1 0 -1 2 0 0 -1 -1 -1 4 0 0 0] [ 1 1 -2 1 0 0 0 -2 0 -1 -2 2 2 1 2 -1 1 1 0 6 0 1] [ 0 1 1 0 -1 0 0 1 -1 1 0 -2 -1 1 -1 0 0 0 0 0 4 0] [ 0 1 1 -1 1 0 0 1 -1 -1 0 0 0 0 1 0 0 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 326. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 1 -2 -1 -2 -1 -1 -2 -2 -2 1 -1 -2 -2 1 -1 -2 -1 1] [ 0 4 1 0 1 1 2 -1 2 1 2 2 2 0 0 0 1 -1 1 2 1 -1] [-1 1 4 1 -1 0 0 1 2 -1 2 2 2 -1 -1 2 0 -2 1 2 0 -2] [ 0 0 1 4 -1 0 0 1 0 1 -1 1 -1 -2 0 0 -1 0 0 -1 0 -1] [ 1 1 -1 -1 4 -1 1 -2 1 0 1 0 0 0 1 0 0 -1 -1 0 0 -1] [-2 1 0 0 -1 4 2 2 1 1 1 2 2 0 0 0 2 0 0 2 2 -1] [-1 2 0 0 1 2 4 1 2 2 2 1 1 0 0 0 1 0 0 1 1 -2] [-2 -1 1 1 -2 2 1 4 1 0 0 1 1 0 0 1 1 0 0 1 0 -1] [-1 2 2 0 1 1 2 1 4 0 2 2 2 0 0 2 1 -1 0 2 0 -2] [-1 1 -1 1 0 1 2 0 0 4 1 1 0 0 0 -1 1 1 1 0 1 0] [-2 2 2 -1 1 1 2 0 2 1 6 3 3 0 -1 2 2 -2 2 3 2 -3] [-2 2 2 1 0 2 1 1 2 1 3 6 4 -1 1 2 2 -1 2 4 2 -3] [-2 2 2 -1 0 2 1 1 2 0 3 4 6 1 1 2 2 -1 1 4 1 -1] [ 1 0 -1 -2 0 0 0 0 0 0 0 -1 1 4 -1 -1 0 1 0 0 0 1] [-1 0 -1 0 1 0 0 0 0 0 -1 1 1 -1 4 1 1 0 -1 1 -1 0] [-2 0 2 0 0 0 0 1 2 -1 2 2 2 -1 1 4 1 -1 0 2 0 -2] [-2 1 0 -1 0 2 1 1 1 1 2 2 2 0 1 1 4 -1 0 2 1 -1] [ 1 -1 -2 0 -1 0 0 0 -1 1 -2 -1 -1 1 0 -1 -1 4 0 -1 0 2] [-1 1 1 0 -1 0 0 0 0 1 2 2 1 0 -1 0 0 0 4 1 1 0] [-2 2 2 -1 0 2 1 1 2 0 3 4 4 0 1 2 2 -1 1 6 2 -2] [-1 1 0 0 0 2 1 0 0 1 2 2 1 0 -1 0 1 0 1 2 4 -2] [ 1 -1 -2 -1 -1 -1 -2 -1 -2 0 -3 -3 -1 1 0 -2 -1 2 0 -2 -2 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 327. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 2 -1 1 1 1 2 -1 0 -1 0 -1 1 -2 0 2 -1 1] [-2 4 -2 0 -1 -2 1 1 1 -1 -2 0 0 2 0 -1 -1 2 -1 -2 1 1] [ 2 -2 4 -1 2 2 -1 0 -1 0 0 1 -1 -2 -1 1 1 -2 1 2 -1 0] [-1 0 -1 4 1 -1 2 -2 -1 -1 1 -1 2 0 1 2 1 1 1 -1 -1 0] [ 1 -1 2 1 4 1 1 0 -2 0 0 -1 1 -1 1 2 2 -1 2 1 -2 0] [ 2 -2 2 -1 1 4 -2 0 -1 0 2 0 -1 -2 0 -1 0 -2 0 2 0 0] [-1 1 -1 2 1 -2 4 0 -1 0 -1 0 2 1 0 2 0 1 0 -1 0 0] [ 1 1 0 -2 0 0 0 4 0 0 0 -1 0 1 -1 -2 0 -1 -1 1 0 0] [ 1 1 -1 -1 -2 -1 -1 0 6 1 1 0 -1 2 0 -3 0 1 -1 -1 1 0] [ 1 -1 0 -1 0 0 0 0 1 4 -1 0 -1 1 1 0 0 0 1 0 0 -1] [ 2 -2 0 1 0 2 -1 0 1 -1 6 -2 1 -1 0 -1 1 -2 -1 1 0 0] [-1 0 1 -1 -1 0 0 -1 0 0 -2 4 -2 -1 -1 0 -1 0 0 0 1 0] [ 0 0 -1 2 1 -1 2 0 -1 -1 1 -2 4 1 1 2 0 0 0 0 -1 1] [-1 2 -2 0 -1 -2 1 1 2 1 -1 -1 1 4 1 -1 -1 1 0 -1 0 0] [ 0 0 -1 1 1 0 0 -1 0 1 0 -1 1 1 4 1 1 0 2 0 -1 1] [-1 -1 1 2 2 -1 2 -2 -3 0 -1 0 2 -1 1 6 1 0 2 0 -1 0] [ 1 -1 1 1 2 0 0 0 0 0 1 -1 0 -1 1 1 4 0 2 0 -2 0] [-2 2 -2 1 -1 -2 1 -1 1 0 -2 0 0 1 0 0 0 4 0 -2 1 0] [ 0 -1 1 1 2 0 0 -1 -1 1 -1 0 0 0 2 2 2 0 4 0 -2 0] [ 2 -2 2 -1 1 2 -1 1 -1 0 1 0 0 -1 0 0 0 -2 0 4 0 0] [-1 1 -1 -1 -2 0 0 0 1 0 0 1 -1 0 -1 -1 -2 1 -2 0 4 -1] [ 1 1 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 328. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 2 1 -2 -2 0 -1 2 -1 2 -2 1 0 -1 -2 0 2 0 -1] [ 1 4 2 2 0 0 1 0 0 -2 0 1 1 1 0 -1 1 0 0 0 0 0] [ 1 2 4 2 1 0 -1 0 1 0 -1 -1 1 -1 1 0 0 1 0 -1 0 0] [ 1 2 2 4 0 0 1 -1 1 -2 1 1 1 1 0 1 0 -1 0 1 -1 1] [ 2 0 1 0 4 0 -3 -2 -1 0 0 0 2 -3 2 -1 0 0 -1 0 1 -2] [ 1 0 0 0 0 4 -1 0 -1 0 -1 -2 0 -1 -1 -1 -2 0 2 0 -1 -1] [-2 1 -1 1 -3 -1 6 2 1 -1 1 3 -2 3 -1 1 0 1 1 -1 0 2] [-2 0 0 -1 -2 0 2 4 1 1 -1 -1 -2 2 0 -1 0 1 1 -1 1 0] [ 0 0 1 1 -1 -1 1 1 4 0 0 0 -1 1 1 1 1 0 -1 0 -1 1] [-1 -2 0 -2 0 0 -1 1 0 4 -2 -2 0 -2 0 0 -1 2 0 -2 1 0] [ 2 0 -1 1 0 -1 1 -1 0 -2 6 2 0 1 0 1 0 -2 -1 2 0 0] [-1 1 -1 1 0 -2 3 -1 0 -2 2 6 -1 1 0 1 2 0 -1 0 0 1] [ 2 1 1 1 2 0 -2 -2 -1 0 0 -1 4 -1 0 -1 0 0 -1 0 1 0] [-2 1 -1 1 -3 -1 3 2 1 -2 1 1 -1 6 -1 0 1 0 0 0 0 1] [ 1 0 1 0 2 -1 -1 0 1 0 0 0 0 -1 4 0 0 -1 -1 0 1 -1] [ 0 -1 0 1 -1 -1 1 -1 1 0 1 1 -1 0 0 4 0 -1 0 1 -1 2] [-1 1 0 0 0 -2 0 0 1 -1 0 2 0 1 0 0 4 0 -2 0 0 1] [-2 0 1 -1 0 0 1 1 0 2 -2 0 0 0 -1 -1 0 6 0 -4 1 0] [ 0 0 0 0 -1 2 1 1 -1 0 -1 -1 -1 0 -1 0 -2 0 4 0 0 0] [ 2 0 -1 1 0 0 -1 -1 0 -2 2 0 0 0 0 1 0 -4 0 6 0 0] [ 0 0 0 -1 1 -1 0 1 -1 1 0 0 1 0 1 -1 0 1 0 0 4 -1] [-1 0 0 1 -2 -1 2 0 1 0 0 1 0 1 -1 2 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 329. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -2 2 -2 -1 -1 -1 1 2 0 0 1 -2 1 -1 1 -2 1 -2 0] [ 1 6 0 -3 -1 2 1 -2 2 -2 3 0 1 2 -2 1 -1 -2 -3 2 1 0] [-2 0 6 3 -1 1 -1 -2 2 1 -3 -2 -1 0 -1 -1 -2 -2 3 0 3 1] [-2 -3 3 6 -1 0 0 1 -1 1 -3 -1 0 -2 0 0 0 1 3 -2 2 -1] [ 2 -1 -1 -1 4 -2 -1 0 -1 1 0 1 0 0 0 1 0 1 -1 0 -2 1] [-2 2 1 0 -2 4 2 0 2 -2 0 0 0 0 1 0 1 -1 -1 0 1 -1] [-1 1 -1 0 -1 2 4 0 1 -1 0 0 0 0 2 0 2 1 -2 0 -1 -2] [-1 -2 -2 1 0 0 0 4 -1 0 0 2 1 -2 2 1 2 1 0 -2 -1 -1] [-1 2 2 -1 -1 2 1 -1 4 -1 0 -1 -1 0 1 -1 0 -1 0 0 0 0] [ 1 -2 1 1 1 -2 -1 0 -1 6 -3 -1 -2 0 1 -1 -2 1 1 0 -2 1] [ 2 3 -3 -3 0 0 0 0 0 -3 6 2 2 0 -2 2 0 0 -2 0 0 -1] [ 0 0 -2 -1 1 0 0 2 -1 -1 2 4 2 -1 0 1 1 0 -1 -1 0 -1] [ 0 1 -1 0 0 0 0 1 -1 -2 2 2 4 -1 -1 1 1 0 0 -1 1 -1] [ 1 2 0 -2 0 0 0 -2 0 0 0 -1 -1 4 -2 0 -1 -1 -2 2 0 1] [-2 -2 -1 0 0 1 2 2 1 1 -2 0 -1 -2 6 -1 2 1 0 -1 -2 0] [ 1 1 -1 0 1 0 0 1 -1 -1 2 1 1 0 -1 4 1 0 -2 0 0 0] [-1 -1 -2 0 0 1 2 2 0 -2 0 1 1 -1 2 1 4 1 -1 -1 -1 -1] [ 1 -2 -2 1 1 -1 1 1 -1 1 0 0 0 -1 1 0 1 4 0 -1 -2 -1] [-2 -3 3 3 -1 -1 -2 0 0 1 -2 -1 0 -2 0 -2 -1 0 6 -2 2 1] [ 1 2 0 -2 0 0 0 -2 0 0 0 -1 -1 2 -1 0 -1 -1 -2 4 1 1] [-2 1 3 2 -2 1 -1 -1 0 -2 0 0 1 0 -2 0 -1 -2 2 1 6 0] [ 0 0 1 -1 1 -1 -2 -1 0 1 -1 -1 -1 1 0 0 -1 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 330. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -2 -2 0 2 1 0 1 1 -1 1 0 1 -1 1 0 1 0 1 -1] [ 0 4 -2 2 -1 0 -2 0 0 0 1 0 2 1 0 1 -1 2 -1 2 -1 1] [-1 -2 4 -1 2 0 1 -1 0 -1 -1 -1 -1 -1 0 -1 1 0 0 -2 1 1] [-2 2 -1 6 2 -1 -4 1 1 1 -1 0 1 2 1 1 -1 1 -1 1 -1 0] [-2 -1 2 2 6 1 -1 -2 2 -2 -3 -1 1 0 2 1 -1 -1 -2 0 -1 1] [ 0 0 0 -1 1 4 -1 -2 -1 -2 -1 1 2 0 0 -1 -2 -1 -2 1 0 -1] [ 2 -2 1 -4 -1 -1 6 1 1 0 1 0 -2 -2 0 0 1 -1 1 -1 1 0] [ 1 0 -1 1 -2 -2 1 4 1 2 1 0 -1 1 0 0 1 0 1 0 0 -1] [ 0 0 0 1 2 -1 1 1 4 -1 0 0 1 0 2 2 0 0 0 0 0 0] [ 1 0 -1 1 -2 -2 0 2 -1 4 0 0 -1 1 0 0 1 0 1 0 0 -1] [ 1 1 -1 -1 -3 -1 1 1 0 0 4 1 -1 -1 -1 0 0 1 1 0 1 0] [-1 0 -1 0 -1 1 0 0 0 0 1 4 0 -1 -1 0 -2 -1 0 1 1 -1] [ 1 2 -1 1 1 2 -2 -1 1 -1 -1 0 6 0 2 0 0 1 -1 1 -1 0] [ 0 1 -1 2 0 0 -2 1 0 1 -1 -1 0 4 0 0 0 1 0 0 -1 -1] [ 1 0 0 1 2 0 0 0 2 0 -1 -1 2 0 4 1 0 -1 -1 0 0 0] [-1 1 -1 1 1 -1 0 0 2 0 0 0 0 0 1 4 0 0 -1 1 -1 1] [ 1 -1 1 -1 -1 -2 1 1 0 1 0 -2 0 0 0 0 4 1 2 -2 0 1] [ 0 2 0 1 -1 -1 -1 0 0 0 1 -1 1 1 -1 0 1 4 1 0 0 1] [ 1 -1 0 -1 -2 -2 1 1 0 1 1 0 -1 0 -1 -1 2 1 4 -2 1 0] [ 0 2 -2 1 0 1 -1 0 0 0 0 1 1 0 0 1 -2 0 -2 4 0 0] [ 1 -1 1 -1 -1 0 1 0 0 0 1 1 -1 -1 0 -1 0 0 1 0 4 -1] [-1 1 1 0 1 -1 0 -1 0 -1 0 -1 0 -1 0 1 1 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 331. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 1 1 -2 0 0 1 -2 -1 -1 -1 1 2 2 1 -2 -1 1] [-2 4 2 1 1 -1 -1 2 1 -1 -1 1 -1 1 0 -1 -1 -2 -1 2 -1 -1] [-2 2 4 1 2 0 -1 2 0 0 -1 2 0 1 1 0 -2 -2 -1 2 -1 -2] [ 0 1 1 4 2 -1 1 1 0 1 -1 0 1 2 -1 0 0 -1 -1 1 1 -1] [-1 1 2 2 4 0 1 1 0 0 -2 1 0 2 -1 0 -1 -1 -2 1 1 -1] [ 1 -1 0 -1 0 4 0 0 1 0 1 1 0 0 -1 -1 -1 0 1 0 0 1] [ 1 -1 -1 1 1 0 4 -1 -1 -1 0 -1 1 1 -1 -1 2 1 0 -1 1 0] [-2 2 2 1 1 0 -1 4 0 0 0 2 0 2 1 0 -2 -2 -1 2 -1 0] [ 0 1 0 0 0 1 -1 0 4 0 1 1 -1 0 -1 0 0 0 1 0 -1 1] [ 0 -1 0 1 0 0 -1 0 0 4 1 0 1 0 0 0 -1 -1 0 1 2 -1] [ 1 -1 -1 -1 -2 1 0 0 1 1 4 0 0 0 1 0 0 0 1 0 -1 1] [-2 1 2 0 1 1 -1 2 1 0 0 4 0 1 0 0 -2 -2 -1 1 0 0] [-1 -1 0 1 0 0 1 0 -1 1 0 0 4 0 1 -1 0 -1 1 1 2 0] [-1 1 1 2 2 0 1 2 0 0 0 1 0 4 -1 0 -1 -1 -2 1 1 0] [-1 0 1 -1 -1 -1 -1 1 -1 0 1 0 1 -1 4 0 -1 -1 1 1 -2 0] [ 1 -1 0 0 0 -1 -1 0 0 0 0 0 -1 0 0 4 1 1 -1 -1 -1 1] [ 2 -1 -2 0 -1 -1 2 -2 0 -1 0 -2 0 -1 -1 1 4 2 1 -2 0 1] [ 2 -2 -2 -1 -1 0 1 -2 0 -1 0 -2 -1 -1 -1 1 2 4 1 -2 0 1] [ 1 -1 -1 -1 -2 1 0 -1 1 0 1 -1 1 -2 1 -1 1 1 4 -1 -1 1] [-2 2 2 1 1 0 -1 2 0 1 0 1 1 1 1 -1 -2 -2 -1 4 1 -1] [-1 -1 -1 1 1 0 1 -1 -1 2 -1 0 2 1 -2 -1 0 0 -1 1 6 -1] [ 1 -1 -2 -1 -1 1 0 0 1 -1 1 0 0 0 0 1 1 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 332. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 2 1 0 -1 0 1 2 2 1 -1 0 1 2 0 -1 2 -1 1] [ 2 4 -2 0 1 0 0 0 0 1 2 2 1 0 -1 -1 1 0 0 2 -1 1] [-2 -2 4 0 0 -1 0 0 1 -1 -2 -2 -1 -1 1 1 0 1 -1 -2 1 -1] [-2 0 0 4 -2 0 -1 2 -1 0 0 0 -1 2 0 -2 -2 1 2 0 0 -1] [ 2 1 0 -2 4 -1 0 -1 1 0 1 1 1 -1 0 1 2 0 -1 1 -1 1] [ 1 0 -1 0 -1 4 0 0 0 1 1 0 1 0 -1 1 -1 0 1 1 1 0] [ 0 0 0 -1 0 0 4 -2 -1 -1 0 0 -1 -1 -1 1 -1 1 -1 0 -1 -1] [-1 0 0 2 -1 0 -2 4 1 0 0 0 1 1 0 -1 -1 -1 1 0 0 1] [ 0 0 1 -1 1 0 -1 1 4 -1 0 -1 1 -1 -1 0 1 0 0 0 0 0] [ 1 1 -1 0 0 1 -1 0 -1 4 0 0 1 1 0 0 1 0 1 0 1 1] [ 2 2 -2 0 1 1 0 0 0 0 4 1 1 -1 0 0 0 0 0 2 -1 1] [ 2 2 -2 0 1 0 0 0 -1 0 1 4 1 0 -1 -1 1 0 0 1 -2 0] [ 1 1 -1 -1 1 1 -1 1 1 1 1 1 4 -1 0 0 1 -2 1 1 0 2] [-1 0 -1 2 -1 0 -1 1 -1 1 -1 0 -1 4 -1 -1 -1 0 1 0 1 0] [ 0 -1 1 0 0 -1 -1 0 -1 0 0 -1 0 -1 4 0 0 -1 0 0 0 1] [ 1 -1 1 -2 1 1 1 -1 0 0 0 -1 0 -1 0 4 1 0 -2 0 1 1] [ 2 1 0 -2 2 -1 -1 -1 1 1 0 1 1 -1 0 1 4 0 -1 0 0 1] [ 0 0 1 1 0 0 1 -1 0 0 0 0 -2 0 -1 0 0 4 0 0 0 -2] [-1 0 -1 2 -1 1 -1 1 0 1 0 0 1 1 0 -2 -1 0 4 0 0 0] [ 2 2 -2 0 1 1 0 0 0 0 2 1 1 0 0 0 0 0 0 4 0 1] [-1 -1 1 0 -1 1 -1 0 0 1 -1 -2 0 1 0 1 0 0 0 0 4 0] [ 1 1 -1 -1 1 0 -1 1 0 1 1 0 2 0 1 1 1 -2 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 333. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 2 -1 2 -2 -1 0 1 -2 2 -1 2 0 2 2 2 1 1 1] [-1 4 -1 -1 -1 2 -1 0 -1 -1 0 1 0 2 1 0 -1 -2 0 0 -2 1] [ 1 -1 4 0 0 0 0 0 1 -1 1 -1 1 0 -1 -1 -1 0 1 1 -1 0] [ 2 -1 0 4 1 -1 2 -2 0 -1 -1 -1 1 -2 1 -1 1 2 1 -1 2 1] [ 2 -1 0 1 4 -1 2 0 -1 -1 0 0 1 -2 1 0 2 1 1 0 0 1] [-1 2 0 -1 -1 4 -2 -1 0 -1 0 0 -1 2 -1 0 -2 -2 1 0 0 0] [ 2 -1 0 2 2 -2 4 -1 0 -1 0 0 2 -1 2 0 1 1 1 0 0 0] [-2 0 0 -2 0 -1 -1 4 0 0 0 2 -1 0 -1 0 0 -1 -2 0 -1 0] [-1 -1 1 0 -1 0 0 0 4 -1 0 0 -1 -1 0 1 -1 0 -1 0 0 -2] [ 0 -1 -1 -1 -1 -1 -1 0 -1 6 2 0 0 -1 1 -1 1 1 -1 2 0 -1] [ 1 0 1 -1 0 0 0 0 0 2 4 -1 1 -1 2 0 0 0 0 2 -1 0] [-2 1 -1 -1 0 0 0 2 0 0 -1 4 0 0 -1 -1 0 -1 -1 -1 -2 -1] [ 2 0 1 1 1 -1 2 -1 -1 0 1 0 4 -1 2 -1 1 0 2 1 -1 1] [-1 2 0 -2 -2 2 -1 0 -1 -1 -1 0 -1 6 -2 1 -2 -2 0 0 0 0] [ 2 1 -1 1 1 -1 2 -1 0 1 2 -1 2 -2 6 0 1 0 1 2 -1 1] [ 0 0 -1 -1 0 0 0 0 1 -1 0 -1 -1 1 0 4 1 0 -1 0 1 0] [ 2 -1 -1 1 2 -2 1 0 -1 1 0 0 1 -2 1 1 4 2 0 0 1 1] [ 2 -2 0 2 1 -2 1 -1 0 1 0 -1 0 -2 0 0 2 4 0 0 2 0] [ 2 0 1 1 1 1 1 -2 -1 -1 0 -1 2 0 1 -1 0 0 4 0 0 1] [ 1 0 1 -1 0 0 0 0 0 2 2 -1 1 0 2 0 0 0 0 4 0 0] [ 1 -2 -1 2 0 0 0 -1 0 0 -1 -2 -1 0 -1 1 1 2 0 0 6 0] [ 1 1 0 1 1 0 0 0 -2 -1 0 -1 1 0 1 0 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 334. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 0 -1 1 -1 -2 -1 -2 1 -1 -1 -1 2 1 0 0 0 1 -1] [ 1 4 -2 2 1 0 1 -1 -1 -1 -2 -1 -1 1 0 1 0 -1 -1 1 -1 1] [-2 -2 4 -1 0 0 -1 2 1 0 2 0 0 0 0 -2 -1 1 0 -1 -1 0] [ 2 2 -1 6 -1 0 2 1 -3 -2 -1 0 -1 -2 0 1 2 0 -2 0 0 1] [ 0 1 0 -1 4 -1 0 0 1 1 0 1 -1 2 1 0 0 0 -1 0 -2 0] [-1 0 0 0 -1 4 -1 0 -1 -1 0 -2 2 0 0 0 0 0 -1 0 -1 -1] [ 1 1 -1 2 0 -1 4 1 -1 -1 -1 1 -2 0 -1 2 0 1 1 -1 -1 1] [-1 -1 2 1 0 0 1 4 -1 0 1 0 0 0 0 -1 1 2 0 -2 -2 0] [-2 -1 1 -3 1 -1 -1 -1 4 1 1 1 0 1 0 -1 -1 0 1 0 0 1] [-1 -1 0 -2 1 -1 -1 0 1 4 0 0 0 1 2 0 0 0 0 0 1 -1] [-2 -2 2 -1 0 0 -1 1 1 0 4 1 0 0 0 -2 0 0 0 0 0 0] [ 1 -1 0 0 1 -2 1 0 1 0 1 4 -1 0 -1 0 0 0 1 0 1 0] [-1 -1 0 -1 -1 2 -2 0 0 0 0 -1 4 0 0 -1 1 -1 0 1 1 -1] [-1 1 0 -2 2 0 0 0 1 1 0 0 0 4 0 0 -1 -1 0 0 -1 0] [-1 0 0 0 1 0 -1 0 0 2 0 -1 0 0 4 0 1 -1 -2 1 -1 0] [ 2 1 -2 1 0 0 2 -1 -1 0 -2 0 -1 0 0 4 1 0 0 0 0 0] [ 1 0 -1 2 0 0 0 1 -1 0 0 0 1 -1 1 1 4 0 -1 0 0 0] [ 0 -1 1 0 0 0 1 2 0 0 0 0 -1 -1 -1 0 0 4 1 -2 -1 0] [ 0 -1 0 -2 -1 -1 1 0 1 0 0 1 0 0 -2 0 -1 1 4 -1 1 0] [ 0 1 -1 0 0 0 -1 -2 0 0 0 0 1 0 1 0 0 -2 -1 4 2 0] [ 1 -1 -1 0 -2 -1 -1 -2 0 1 0 1 1 -1 -1 0 0 -1 1 2 6 -1] [-1 1 0 1 0 -1 1 0 1 -1 0 0 -1 0 0 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 335. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 1 -1 2 1 2 -1 2 2 -1 -1 0 -2 1 1 1 1] [ 1 4 0 -2 -1 2 0 -1 0 2 2 1 0 0 1 0 0 -1 0 2 -1 1] [-1 0 4 -1 0 -1 0 -1 0 1 -2 0 0 0 0 0 0 1 -1 1 0 -2] [-1 -2 -1 4 -1 -2 -1 1 0 -2 -2 0 0 0 -1 0 1 0 1 -2 1 0] [ 2 -1 0 -1 4 1 0 -1 2 0 1 -1 2 1 0 0 0 -1 1 0 0 0] [ 1 2 -1 -2 1 6 0 1 -1 1 3 1 1 0 1 -1 1 1 2 1 -1 2] [ 1 0 0 -1 0 0 4 -1 1 0 2 -2 1 1 0 1 1 -1 0 0 0 -1] [-1 -1 -1 1 -1 1 -1 4 -1 -1 -1 0 0 0 0 -1 0 2 0 -1 0 1] [ 2 0 0 0 2 -1 1 -1 4 0 1 -2 2 2 0 0 1 -2 1 0 0 0] [ 1 2 1 -2 0 1 0 -1 0 4 0 1 0 1 0 0 0 0 -1 2 -1 0] [ 2 2 -2 -2 1 3 2 -1 1 0 6 -1 1 0 1 0 1 -1 2 0 -1 1] [-1 1 0 0 -1 1 -2 0 -2 1 -1 4 -2 -1 1 -1 0 1 0 1 -1 1] [ 2 0 0 0 2 1 1 0 2 0 1 -2 4 2 0 0 1 -1 1 0 0 0] [ 2 0 0 0 1 0 1 0 2 1 0 -1 2 4 0 -1 0 -1 0 0 1 1] [-1 1 0 -1 0 1 0 0 0 0 1 1 0 0 4 1 1 0 0 1 -2 0] [-1 0 0 0 0 -1 1 -1 0 0 0 -1 0 -1 1 4 1 -1 -1 0 -1 -1] [ 0 0 0 1 0 1 1 0 1 0 1 0 1 0 1 1 4 0 2 0 -1 0] [-2 -1 1 0 -1 1 -1 2 -2 0 -1 1 -1 -1 0 -1 0 4 0 0 0 0] [ 1 0 -1 1 1 2 0 0 1 -1 2 0 1 0 0 -1 2 0 4 -1 0 1] [ 1 2 1 -2 0 1 0 -1 0 2 0 1 0 0 1 0 0 0 -1 4 0 0] [ 1 -1 0 1 0 -1 0 0 0 -1 -1 -1 0 1 -2 -1 -1 0 0 0 4 0] [ 1 1 -2 0 0 2 -1 1 0 0 1 1 0 1 0 -1 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 336. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 -1 1 0 1 1 0 1 0 0 0 -1 0 -1 2 1 2 1 0] [ 2 4 -1 1 1 1 -1 0 0 0 1 -1 -1 -1 0 -1 -1 1 1 1 0 1] [ 0 -1 4 1 -2 0 2 1 2 1 0 2 -1 2 -2 1 1 -1 0 1 1 1] [ 1 1 1 4 1 2 0 -1 1 1 2 2 1 0 0 -1 -1 0 -1 1 0 0] [-1 1 -2 1 6 2 0 -2 0 0 2 -2 -1 0 2 -3 1 -1 -1 0 0 0] [ 1 1 0 2 2 4 1 0 1 1 2 -1 0 0 0 -1 -1 0 -1 1 0 0] [ 0 -1 2 0 0 1 4 0 2 1 0 -1 0 2 -2 1 1 -1 0 1 1 1] [ 1 0 1 -1 -2 0 0 4 0 -1 0 0 0 0 0 1 -1 0 0 1 1 0] [ 1 0 2 1 0 1 2 0 4 0 1 1 -1 2 -2 0 1 -1 1 2 1 0] [ 0 0 1 1 0 1 1 -1 0 4 -1 -1 -1 0 -1 0 1 -1 -1 1 -1 2] [ 1 1 0 2 2 2 0 0 1 -1 4 0 1 1 0 -1 -1 0 -1 1 0 0] [ 0 -1 2 2 -2 -1 -1 0 1 -1 0 6 0 1 0 1 -1 0 1 0 0 -1] [ 0 -1 -1 1 -1 0 0 0 -1 -1 1 0 6 -1 0 1 -2 0 -2 -1 0 -1] [ 0 -1 2 0 0 0 2 0 2 0 1 1 -1 4 -2 1 1 -1 0 1 1 1] [-1 0 -2 0 2 0 -2 0 -2 -1 0 0 0 -2 4 -2 -1 0 0 -1 -1 -1] [ 0 -1 1 -1 -3 -1 1 1 0 0 -1 1 1 1 -2 4 0 0 0 0 0 1] [-1 -1 1 -1 1 -1 1 -1 1 1 -1 -1 -2 1 -1 0 4 -1 0 0 1 1] [ 2 1 -1 0 -1 0 -1 0 -1 -1 0 0 0 -1 0 0 -1 4 1 0 1 -1] [ 1 1 0 -1 -1 -1 0 0 1 -1 -1 1 -2 0 0 0 0 1 4 0 0 0] [ 2 1 1 1 0 1 1 1 2 1 1 0 -1 1 -1 0 0 0 0 4 1 1] [ 1 0 1 0 0 0 1 1 1 -1 0 0 0 1 -1 0 1 1 0 1 4 -1] [ 0 1 1 0 0 0 1 0 0 2 0 -1 -1 1 -1 1 1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 337. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -1 2 1 1 -1 -1 2 -1 -1 -1 -1 1 -1 1 1 0 2] [ 1 4 -1 0 2 -2 1 2 -1 -1 -1 -1 1 0 0 0 1 0 0 0 1 1] [-1 -1 4 -1 0 0 0 0 0 1 1 1 0 -1 -1 -1 -1 -1 1 1 1 0] [-1 0 -1 4 -2 1 -1 -2 0 -1 -1 -1 -1 1 -1 0 1 1 0 -1 1 -1] [ 1 2 0 -2 4 -2 2 2 -1 -1 1 -1 1 -1 1 0 1 0 0 0 0 1] [-1 -2 0 1 -2 4 -1 -2 0 0 -1 1 -1 1 0 -1 0 -1 -1 1 -1 0] [ 2 1 0 -1 2 -1 4 1 1 -2 -1 1 -1 -2 -1 0 2 0 0 0 0 2] [ 1 2 0 -2 2 -2 1 4 -1 0 1 -1 2 0 1 0 0 0 1 0 0 1] [ 1 -1 0 0 -1 0 1 -1 4 0 -2 2 -2 -1 -1 0 -1 -1 1 1 -1 1] [-1 -1 1 -1 -1 0 -2 0 0 4 0 1 0 1 1 1 -2 0 1 0 -1 0] [-1 -1 1 -1 1 -1 -1 1 -2 0 6 -3 2 -1 1 -1 -1 0 0 0 0 -2] [ 2 -1 1 -1 -1 1 1 -1 2 1 -3 6 -2 0 -2 0 0 -2 0 1 0 2] [-1 1 0 -1 1 -1 -1 2 -2 0 2 -2 4 0 2 0 0 0 -1 0 0 -1] [-1 0 -1 1 -1 1 -2 0 -1 1 -1 0 0 4 0 1 0 1 0 -1 0 -1] [-1 0 -1 -1 1 0 -1 1 -1 1 1 -2 2 0 4 0 -1 0 0 0 -2 0] [-1 0 -1 0 0 -1 0 0 0 1 -1 0 0 1 0 4 1 2 -1 -2 0 0] [ 1 1 -1 1 1 0 2 0 -1 -2 -1 0 0 0 -1 1 4 1 -1 -1 1 1] [-1 0 -1 1 0 -1 0 0 -1 0 0 -2 0 1 0 2 1 4 0 -2 1 -1] [ 1 0 1 0 0 -1 0 1 1 1 0 0 -1 0 0 -1 -1 0 4 0 0 1] [ 1 0 1 -1 0 1 0 0 1 0 0 1 0 -1 0 -2 -1 -2 0 4 0 1] [ 0 1 1 1 0 -1 0 0 -1 -1 0 0 0 0 -2 0 1 1 0 0 4 -1] [ 2 1 0 -1 1 0 2 1 1 0 -2 2 -1 -1 0 0 1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 338. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 -1 1 -1 -2 -1 -2 -1 -1 -1 0 -2 0 -1 0 0 1] [ 0 4 -1 -1 1 2 -2 2 1 1 -2 1 2 1 0 1 2 -2 1 -2 0 1] [ 1 -1 4 0 0 0 1 -2 -1 0 0 0 0 1 -2 -1 0 2 -2 -1 1 -1] [ 2 -1 0 4 -2 -1 0 1 0 -2 0 -1 -2 -1 0 -1 -2 -1 0 2 1 1] [-2 1 0 -2 4 2 1 0 0 2 -1 2 2 1 0 0 2 -1 0 0 0 -1] [-1 2 0 -1 2 4 -1 0 0 1 -2 1 1 2 0 0 1 -2 0 0 0 1] [-1 -2 1 0 1 -1 4 -2 -1 1 1 0 -1 -1 -1 -1 0 1 0 1 1 -1] [ 1 2 -2 1 0 0 -2 6 2 -1 -1 -1 1 1 0 2 1 -2 0 0 -1 0] [-1 1 -1 0 0 0 -1 2 4 -1 -1 0 0 1 0 1 2 0 1 -1 1 -1] [-2 1 0 -2 2 1 1 -1 -1 4 0 2 2 1 0 0 1 -1 0 0 0 0] [-1 -2 0 0 -1 -2 1 -1 -1 0 4 0 -1 -1 1 -1 0 1 0 1 -1 -1] [-2 1 0 -1 2 1 0 -1 0 2 0 4 2 1 0 0 2 0 0 -1 1 -1] [-1 2 0 -2 2 1 -1 1 0 2 -1 2 4 1 0 1 2 0 0 -2 0 -1] [-1 1 1 -1 1 2 -1 1 1 1 -1 1 1 4 -1 1 1 0 -1 -1 0 0] [-1 0 -2 0 0 0 -1 0 0 0 1 0 0 -1 4 -1 -1 -2 2 2 -1 1] [ 0 1 -1 -1 0 0 -1 2 1 0 -1 0 1 1 -1 4 0 0 -1 -2 0 0] [-2 2 0 -2 2 1 0 1 2 1 0 2 2 1 -1 0 6 0 1 -2 0 -2] [ 0 -2 2 -1 -1 -2 1 -2 0 -1 1 0 0 0 -2 0 0 6 -1 -2 1 -2] [-1 1 -2 0 0 0 0 0 1 0 0 0 0 -1 2 -1 1 -1 4 0 0 1] [ 0 -2 -1 2 0 0 1 0 -1 0 1 -1 -2 -1 2 -2 -2 -2 0 6 0 1] [ 0 0 1 1 0 0 1 -1 1 0 -1 1 0 0 -1 0 0 1 0 0 4 -1] [ 1 1 -1 1 -1 1 -1 0 -1 0 -1 -1 -1 0 1 0 -2 -2 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 339. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 1 1 -1 -2 -1 1 1 -1 1 0 -1 -1 1 -1 2 -1 -2 2 -2] [-1 4 2 0 -2 2 1 2 1 1 0 1 1 0 1 -2 0 1 0 -1 -1 1] [-1 2 4 1 0 0 0 1 0 -1 1 -1 0 0 0 -1 -1 1 -1 -1 -2 2] [ 1 0 1 4 1 0 0 1 0 0 1 0 1 1 1 0 -2 0 -1 0 1 0] [ 1 -2 0 1 4 -2 -1 0 -1 -1 0 -1 -1 0 0 2 0 1 -1 -1 0 -1] [-1 2 0 0 -2 4 2 1 0 1 -1 0 2 0 1 -2 0 0 0 0 0 0] [-2 1 0 0 -1 2 4 2 0 -1 1 0 1 0 2 -1 0 0 0 0 0 0] [-1 2 1 1 0 1 2 6 1 0 1 0 -1 2 3 0 1 1 1 -1 -2 0] [ 1 1 0 0 -1 0 0 1 4 2 1 2 -1 0 0 -1 1 2 1 -2 0 -1] [ 1 1 -1 0 -1 1 -1 0 2 4 0 2 0 0 0 -1 1 0 1 0 0 -1] [-1 0 1 1 0 -1 1 1 1 0 4 1 0 0 1 -1 0 -1 1 1 0 0] [ 1 1 -1 0 -1 0 0 0 2 2 1 4 0 0 0 -1 1 1 0 -1 2 -1] [ 0 1 0 1 -1 2 1 -1 -1 0 0 0 4 -1 0 -2 -2 -1 0 1 1 0] [-1 0 0 1 0 0 0 2 0 0 0 0 -1 4 1 0 0 0 1 0 0 1] [-1 1 0 1 0 1 2 3 0 0 1 0 0 1 4 0 0 -1 0 0 0 0] [ 1 -2 -1 0 2 -2 -1 0 -1 -1 -1 -1 -2 0 0 4 1 0 -1 0 0 0] [-1 0 -1 -2 0 0 0 1 1 1 0 1 -2 0 0 1 4 0 1 0 -1 0] [ 2 1 1 0 1 0 0 1 2 0 -1 1 -1 0 -1 0 0 6 -1 -4 1 -1] [-1 0 -1 -1 -1 0 0 1 1 1 1 0 0 1 0 -1 1 -1 4 1 -1 0] [-2 -1 -1 0 -1 0 0 -1 -2 0 1 -1 1 0 0 0 0 -4 1 6 0 1] [ 2 -1 -2 1 0 0 0 -2 0 0 0 2 1 0 0 0 -1 1 -1 0 6 -2] [-2 1 2 0 -1 0 0 0 -1 -1 0 -1 0 1 0 0 0 -1 0 1 -2 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 340. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 2 1 1 1 2 1 -2 1 -1 0 -1 -1 0 -1 -1 -1 -2 -1 -2] [ 1 4 1 1 0 -1 2 1 0 0 2 -2 0 -1 1 -1 0 -1 -2 0 -2 0] [ 1 1 4 -1 0 -1 0 0 -1 1 2 -2 1 0 0 1 0 -2 0 1 0 0] [ 2 1 -1 6 0 1 1 2 3 -2 -1 2 1 -1 1 -2 0 0 -2 -2 1 -3] [ 1 0 0 0 4 1 0 0 1 -1 -1 -1 -2 0 1 1 -2 -1 0 1 -2 1] [ 1 -1 -1 1 1 4 -1 1 1 0 0 2 -1 1 0 -1 0 -1 1 -2 0 -2] [ 1 2 0 1 0 -1 4 2 -1 0 0 -1 0 0 0 -1 0 0 -2 -1 0 -1] [ 2 1 0 2 0 1 2 4 1 0 0 1 0 0 0 -2 0 0 -1 -2 0 -2] [ 1 0 -1 3 1 1 -1 1 4 -1 -1 2 0 -1 1 -1 -1 0 -1 -1 -1 -1] [-2 0 1 -2 -1 0 0 0 -1 4 1 0 0 1 1 0 1 0 0 0 0 0] [ 1 2 2 -1 -1 0 0 0 -1 1 4 -2 0 0 0 0 1 -1 0 0 -1 0] [-1 -2 -2 2 -1 2 -1 1 2 0 -2 6 0 0 1 -2 1 1 1 -2 2 -2] [ 0 0 1 1 -2 -1 0 0 0 0 0 0 4 -1 -1 -1 0 0 -1 -1 1 0] [-1 -1 0 -1 0 1 0 0 -1 1 0 0 -1 4 -1 0 0 -1 1 1 2 -1] [-1 1 0 1 1 0 0 0 1 1 0 1 -1 -1 4 0 0 0 0 1 -1 0] [ 0 -1 1 -2 1 -1 -1 -2 -1 0 0 -2 -1 0 0 4 -1 0 1 2 0 1] [-1 0 0 0 -2 0 0 0 -1 1 1 1 0 0 0 -1 4 0 1 0 1 0] [-1 -1 -2 0 -1 -1 0 0 0 0 -1 1 0 -1 0 0 0 4 0 0 1 1] [-1 -2 0 -2 0 1 -2 -1 -1 0 0 1 -1 1 0 1 1 0 4 1 1 1] [-2 0 1 -2 1 -2 -1 -2 -1 0 0 -2 -1 1 1 2 0 0 1 6 1 3] [-1 -2 0 1 -2 0 0 0 -1 0 -1 2 1 2 -1 0 1 1 1 1 6 -2] [-2 0 0 -3 1 -2 -1 -2 -1 0 0 -2 0 -1 0 1 0 1 1 3 -2 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 341. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 -2 -1 -2 -2 1 0 0 -1 0 1 0 2 0 -2 0 1 0] [ 0 4 -2 -1 -1 0 0 -1 -1 0 -1 1 0 -2 -2 0 -1 2 2 2 -2 2] [ 1 -2 6 -2 0 1 2 2 0 -2 -1 0 2 1 3 -2 2 1 0 -3 1 1] [-2 -1 -2 6 2 1 -1 1 2 1 1 -2 -1 -1 -2 1 -2 0 -1 -1 2 -3] [ 0 -1 0 2 4 0 0 0 2 -1 0 0 0 0 1 -1 0 1 -2 -2 0 -1] [-2 0 1 1 0 4 2 2 2 -2 0 -1 0 -1 1 0 0 1 1 -1 -1 0] [-1 0 2 -1 0 2 4 1 1 -1 0 1 0 1 2 0 0 2 2 -2 -2 0] [-2 -1 2 1 0 2 1 4 2 -2 0 -1 1 0 0 0 0 1 1 -2 1 1] [-2 -1 0 2 2 2 1 2 4 -1 0 -1 0 0 0 0 -1 1 0 -2 0 0] [ 1 0 -2 1 -1 -2 -1 -2 -1 6 2 -1 -1 1 -1 1 0 -2 1 2 0 -1] [ 0 -1 -1 1 0 0 0 0 0 2 4 0 -1 1 0 1 1 -2 -1 1 0 -2] [ 0 1 0 -2 0 -1 1 -1 -1 -1 0 4 1 0 0 0 0 1 1 0 -1 0] [-1 0 2 -1 0 0 0 1 0 -1 -1 1 4 0 0 -2 0 0 1 0 0 2] [ 0 -2 1 -1 0 -1 1 0 0 1 1 0 0 4 2 0 0 -1 0 -1 0 -1] [ 1 -2 3 -2 1 1 2 0 0 -1 0 0 0 2 6 -1 2 -1 -1 -2 -1 0] [ 0 0 -2 1 -1 0 0 0 0 1 1 0 -2 0 -1 4 0 0 0 0 1 -1] [ 2 -1 2 -2 0 0 0 0 -1 0 1 0 0 0 2 0 4 -1 -1 0 0 1] [ 0 2 1 0 1 1 2 1 1 -2 -2 1 0 -1 -1 0 -1 6 2 -2 0 1] [-2 2 0 -1 -2 1 2 1 0 1 -1 1 1 0 -1 0 -1 2 6 0 -2 2] [ 0 2 -3 -1 -2 -1 -2 -2 -2 2 1 0 0 -1 -2 0 0 -2 0 6 -1 1] [ 1 -2 1 2 0 -1 -2 1 0 0 0 -1 0 0 -1 1 0 0 -2 -1 6 -2] [ 0 2 1 -3 -1 0 0 1 0 -1 -2 0 2 -1 0 -1 1 1 2 1 -2 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 342. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 -1 -2 1 -1 2 0 0 -1 -1 -1 0 -1 2 1 -1 -1 2 0] [ 1 4 1 -2 -2 0 1 0 -1 1 1 0 -1 -2 1 1 -1 -1 0 0 -1 1] [ 0 1 4 -2 1 0 2 0 -1 0 2 0 1 -2 1 0 0 -2 1 0 0 1] [-2 -2 -2 6 2 1 -1 -1 -1 -1 -2 1 2 0 -2 -1 -1 1 1 1 -2 -2] [-1 -2 1 2 6 -1 2 -2 -1 1 0 2 0 -1 -2 -2 1 1 1 2 -1 -2] [-2 0 0 1 -1 4 -2 2 -1 0 0 1 2 0 1 1 -2 0 0 1 -2 1] [ 1 1 2 -1 2 -2 4 -1 0 1 1 0 -1 -2 0 -1 1 0 0 0 0 0] [-1 0 0 -1 -2 2 -1 4 1 0 0 -1 1 0 2 2 -1 0 0 -1 -1 2] [ 2 -1 -1 -1 -1 -1 0 1 4 -1 -1 -1 -1 1 1 0 2 1 -1 -1 2 1] [ 0 1 0 -1 1 0 1 0 -1 4 1 1 -2 0 0 0 0 1 -1 1 -2 0] [ 0 1 2 -2 0 0 1 0 -1 1 4 1 0 -1 0 1 -1 -1 -1 -1 0 1] [-1 0 0 1 2 1 0 -1 -1 1 1 4 -1 -1 0 -1 0 1 0 2 -2 -1] [-1 -1 1 2 0 2 -1 1 -1 -2 0 -1 6 -2 0 0 -1 -1 2 -1 0 1] [-1 -2 -2 0 -1 0 -2 0 1 0 -1 -1 -2 6 -1 1 0 0 -2 0 2 0] [ 0 1 1 -2 -2 1 0 2 1 0 0 0 0 -1 4 0 0 -1 1 0 -1 2] [-1 1 0 -1 -2 1 -1 2 0 0 1 -1 0 1 0 4 -1 -1 -1 -1 0 2] [ 2 -1 0 -1 1 -2 1 -1 2 0 -1 0 -1 0 0 -1 4 1 0 0 2 0] [ 1 -1 -2 1 1 0 0 0 1 1 -1 1 -1 0 -1 -1 1 4 -1 1 0 -1] [-1 0 1 1 1 0 0 0 -1 -1 -1 0 2 -2 1 -1 0 -1 4 0 -1 0] [-1 0 0 1 2 1 0 -1 -1 1 -1 2 -1 0 0 -1 0 1 0 4 -1 -1] [ 2 -1 0 -2 -1 -2 0 -1 2 -2 0 -2 0 2 -1 0 2 0 -1 -1 6 0] [ 0 1 1 -2 -2 1 0 2 1 0 1 -1 1 0 2 2 0 -1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 343. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 1 1 1 -1 -1 2 1 1 0 -1 -1 -2 -1 -2 0 1] [ 1 4 2 0 0 0 0 0 2 1 1 1 -1 0 -1 1 -1 0 1 -1 0 1] [ 2 2 6 1 1 2 -1 2 3 -1 -1 2 1 0 0 -2 1 0 2 -2 1 2] [-1 0 1 4 0 0 0 0 2 -1 -1 0 1 1 -1 -1 2 2 0 -1 0 -1] [-1 0 1 0 4 0 -2 1 1 1 0 0 1 -1 -1 -1 -1 0 2 1 -1 1] [ 1 0 2 0 0 4 -1 2 2 -2 0 1 1 1 -1 -1 1 0 0 -1 2 0] [ 1 0 -1 0 -2 -1 4 -2 -2 1 0 0 0 1 0 1 0 0 -2 -1 0 0] [ 1 0 2 0 1 2 -2 4 1 -2 0 0 0 1 0 -2 0 0 1 -1 0 0] [ 1 2 3 2 1 2 -2 1 6 -1 -1 2 1 0 -2 -1 1 0 1 -1 1 1] [-1 1 -1 -1 1 -2 1 -2 -1 4 1 -1 -1 -1 0 1 -1 0 1 1 -1 1] [-1 1 -1 -1 0 0 0 0 -1 1 4 0 -1 1 0 2 0 0 0 1 -1 -1] [ 2 1 2 0 0 1 0 0 2 -1 0 4 1 1 0 0 0 -1 0 -1 0 0] [ 1 -1 1 1 1 1 0 0 1 -1 -1 1 4 1 -1 -1 0 0 -1 -1 0 0] [ 1 0 0 1 -1 1 1 1 0 -1 1 1 1 4 0 0 0 1 -1 -2 0 -2] [ 0 -1 0 -1 -1 -1 0 0 -2 0 0 0 -1 0 4 0 0 -1 0 0 0 0] [-1 1 -2 -1 -1 -1 1 -2 -1 1 2 0 -1 0 0 4 0 0 -1 1 0 0] [-1 -1 1 2 -1 1 0 0 1 -1 0 0 0 0 0 0 4 1 0 0 1 0] [-2 0 0 2 0 0 0 0 0 0 0 -1 0 1 -1 0 1 4 1 0 1 -1] [-1 1 2 0 2 0 -2 1 1 1 0 0 -1 -1 0 -1 0 1 4 0 0 1] [-2 -1 -2 -1 1 -1 -1 -1 -1 1 1 -1 -1 -2 0 1 0 0 0 4 0 0] [ 0 0 1 0 -1 2 0 0 1 -1 -1 0 0 0 0 0 1 1 0 0 4 0] [ 1 1 2 -1 1 0 0 0 1 1 -1 0 0 -2 0 0 0 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 344. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 0 0 -1 -1 -2 -2 1 1 1 1 -2 -1 -2 -1 1 1 1 -1 -2] [-2 4 1 -1 -1 1 1 2 0 -1 -1 -1 -1 1 1 2 -1 0 -1 -1 1 0] [-1 1 4 -1 0 -1 2 1 1 -1 1 1 -1 0 0 2 0 0 -2 1 0 2] [ 0 -1 -1 4 -1 0 0 0 1 1 0 0 1 1 1 -2 2 0 0 0 1 -1] [ 0 -1 0 -1 4 -1 0 0 1 0 -1 1 1 -1 0 1 0 1 0 1 -1 2] [-1 1 -1 0 -1 4 -1 1 1 1 0 -1 -1 1 -1 -1 1 -2 1 -1 1 -1] [-1 1 2 0 0 -1 4 2 1 0 1 1 0 0 0 2 0 0 -2 1 0 2] [-2 2 1 0 0 1 2 4 2 0 -1 -1 0 0 0 1 0 0 -1 -1 0 1] [-2 0 1 1 1 1 1 2 4 1 0 0 0 1 0 1 2 0 -1 0 0 1] [ 1 -1 -1 1 0 1 0 0 1 4 1 1 1 0 0 -2 0 1 1 1 -1 -2] [ 1 -1 1 0 -1 0 1 -1 0 1 4 2 -1 0 0 -1 1 0 0 2 -1 -1] [ 1 -1 1 0 1 -1 1 -1 0 1 2 4 1 -1 0 0 0 1 -1 2 -1 0] [ 1 -1 -1 1 1 -1 0 0 0 1 -1 1 4 0 -1 0 -1 1 -1 1 0 -1] [-2 1 0 1 -1 1 0 0 1 0 0 -1 0 4 0 1 1 -1 -1 0 2 0] [-1 1 0 1 0 -1 0 0 0 0 0 0 -1 0 4 -1 0 1 1 0 -1 0] [-2 2 2 -2 1 -1 2 1 1 -2 -1 0 0 1 -1 6 0 0 -3 0 1 3] [-1 -1 0 2 0 1 0 0 2 0 1 0 -1 1 0 0 4 -1 0 0 1 1] [ 1 0 0 0 1 -2 0 0 0 1 0 1 1 -1 1 0 -1 4 0 1 -1 -1] [ 1 -1 -2 0 0 1 -2 -1 -1 1 0 -1 -1 -1 1 -3 0 0 4 -1 -1 -1] [ 1 -1 1 0 1 -1 1 -1 0 1 2 2 1 0 0 0 0 1 -1 4 0 0] [-1 1 0 1 -1 1 0 0 0 -1 -1 -1 0 2 -1 1 1 -1 -1 0 4 0] [-2 0 2 -1 2 -1 2 1 1 -2 -1 0 -1 0 0 3 1 -1 -1 0 0 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 345. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 2 2 -1 -1 -2 0 -1 2 0 -2 -1 -1 1 1 -1 2 -1 0] [ 1 4 0 0 1 1 0 1 0 1 -1 -1 0 -1 -2 -2 1 -1 -1 2 -1 1] [ 2 0 4 -2 2 2 -1 0 -1 1 0 1 0 -1 1 1 1 2 1 0 0 1] [-2 0 -2 4 0 -2 2 1 0 -1 1 -2 1 2 1 -1 0 0 0 -1 0 0] [ 2 1 2 0 4 2 0 1 -2 1 -1 1 0 -1 0 -1 1 2 -1 1 0 0] [ 2 1 2 -2 2 4 -1 0 -1 2 -2 1 -1 -1 0 0 1 1 -1 1 0 0] [-1 0 -1 2 0 -1 4 2 0 -2 2 -1 2 1 2 -2 0 0 0 1 0 0] [-1 1 0 1 1 0 2 4 1 0 1 0 1 0 1 -2 1 1 -1 0 1 1] [-2 0 -1 0 -2 -1 0 1 4 1 1 -1 0 1 -1 0 -1 0 0 -1 1 1] [ 0 1 1 -1 1 2 -2 0 1 4 -2 0 -2 0 -1 1 0 0 -1 0 1 1] [-1 -1 0 1 -1 -2 2 1 1 -2 4 0 2 1 2 -1 -1 0 1 0 0 0] [ 2 -1 1 -2 1 1 -1 0 -1 0 0 4 0 -2 0 0 0 1 -1 1 0 -1] [ 0 0 0 1 0 -1 2 1 0 -2 2 0 4 1 1 -1 0 0 1 1 -1 0] [-2 -1 -1 2 -1 -1 1 0 1 0 1 -2 1 4 2 0 0 0 1 -1 1 0] [-1 -2 1 1 0 0 2 1 -1 -1 2 0 1 2 6 0 0 0 1 0 1 -1] [-1 -2 1 -1 -1 0 -2 -2 0 1 -1 0 -1 0 0 6 -1 1 1 -1 -1 1] [ 1 1 1 0 1 1 0 1 -1 0 -1 0 0 0 0 -1 4 2 0 -1 1 0] [ 1 -1 2 0 2 1 0 1 0 0 0 1 0 0 0 1 2 6 0 -1 1 1] [-1 -1 1 0 -1 -1 0 -1 0 -1 1 -1 1 1 1 1 0 0 4 -2 0 0] [ 2 2 0 -1 1 1 1 0 -1 0 0 1 1 -1 0 -1 -1 -1 -2 6 -1 0] [-1 -1 0 0 0 0 0 1 1 1 0 0 -1 1 1 -1 1 1 0 -1 4 -1] [ 0 1 1 0 0 0 0 1 1 1 0 -1 0 0 -1 1 0 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 346. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -2 -1 -2 -1 0 -2 -1 -1 -1 1 1 2 0 -1 0 0 0] [-2 4 1 1 1 0 1 2 1 1 2 1 0 -1 0 0 -1 1 -1 -1 1 -1] [ 0 1 4 2 -1 -1 0 1 2 0 1 2 -2 -2 0 -1 0 2 1 -2 0 0] [ 0 1 2 4 1 -2 0 0 0 0 0 0 -1 -1 1 1 0 2 -1 -2 -1 1] [ 1 1 -1 1 6 -3 -1 0 0 1 0 0 1 -2 0 2 -1 -1 -1 1 1 0] [-2 0 -1 -2 -3 6 2 1 -1 1 1 -1 1 1 -2 -1 -1 0 2 0 0 1] [-1 1 0 0 -1 2 4 0 0 0 0 0 1 1 0 -1 1 1 1 -1 -1 1] [-2 2 1 0 0 1 0 4 2 0 2 1 0 0 -2 -1 -2 0 1 0 0 0] [-1 1 2 0 0 -1 0 2 4 0 1 2 0 0 -1 -2 -1 0 2 0 0 0] [ 0 1 0 0 1 1 0 0 0 4 0 0 0 0 -1 0 0 1 1 -1 1 0] [-2 2 1 0 0 1 0 2 1 0 4 2 0 -2 0 -1 -2 0 1 0 0 0] [-1 1 2 0 0 -1 0 1 2 0 2 4 0 -1 0 -2 -1 0 2 0 0 0] [-1 0 -2 -1 1 1 1 0 0 0 0 0 4 1 -1 0 -1 -2 0 1 0 1] [-1 -1 -2 -1 -2 1 1 0 0 0 -2 -1 1 6 0 -1 1 -1 1 1 -1 1] [ 1 0 0 1 0 -2 0 -2 -1 -1 0 0 -1 0 4 0 1 0 -1 0 -1 0] [ 1 0 -1 1 2 -1 -1 -1 -2 0 -1 -2 0 -1 0 4 1 0 -3 0 1 0] [ 2 -1 0 0 -1 -1 1 -2 -1 0 -2 -1 -1 1 1 1 4 1 -1 -1 0 0] [ 0 1 2 2 -1 0 1 0 0 1 0 0 -2 -1 0 0 1 4 0 -2 0 0] [-1 -1 1 -1 -1 2 1 1 2 1 1 2 0 1 -1 -3 -1 0 6 0 -1 2] [ 0 -1 -2 -2 1 0 -1 0 0 -1 0 0 1 1 0 0 -1 -2 0 4 1 0] [ 0 1 0 -1 1 0 -1 0 0 1 0 0 0 -1 -1 1 0 0 -1 1 4 -2] [ 0 -1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 2 0 -2 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 347. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 1 -1 1 -2 0 -1 1 0 1 2 1 1 1 1 -1 2 -1 0] [ 2 4 1 -1 -1 0 0 -1 0 0 -1 -1 0 0 0 1 0 1 -1 0 0 1] [ 2 1 4 -1 2 -1 -1 -2 1 -2 0 0 1 1 1 -1 1 1 -2 1 -1 0] [ 1 -1 -1 6 2 1 3 1 -2 1 3 -1 1 2 2 1 1 1 0 2 -2 -1] [ 1 -1 2 2 6 -2 -1 0 0 -2 3 0 2 2 2 1 0 -1 -1 2 -2 1] [-1 0 -1 1 -2 6 -1 2 1 3 1 -2 -2 -1 0 -1 2 1 -1 -1 0 -2] [ 1 0 -1 3 -1 -1 6 0 -3 1 1 -1 0 1 0 1 1 1 0 1 0 0] [-2 -1 -2 1 0 2 0 4 -1 1 1 -1 0 -1 -1 1 0 -1 1 -1 1 0] [ 0 0 1 -2 0 1 -3 -1 4 -1 -1 0 0 -1 1 -1 1 -1 -1 -1 -1 -1] [-1 0 -2 1 -2 3 1 1 -1 4 1 -1 -2 0 -1 0 0 1 0 0 1 -1] [ 1 -1 0 3 3 1 1 1 -1 1 6 -2 0 2 1 1 2 1 0 2 -1 -1] [ 0 -1 0 -1 0 -2 -1 -1 0 -1 -2 4 1 0 -1 -1 -2 -1 1 0 1 0] [ 1 0 1 1 2 -2 0 0 0 -2 0 1 4 0 1 0 0 0 1 0 -1 0] [ 2 0 1 2 2 -1 1 -1 -1 0 2 0 0 4 0 1 0 1 -1 2 -1 0] [ 1 0 1 2 2 0 0 -1 1 -1 1 -1 1 0 4 0 1 0 -1 1 -2 0] [ 1 1 -1 1 1 -1 1 1 -1 0 1 -1 0 1 0 4 0 -1 0 1 0 2] [ 1 0 1 1 0 2 1 0 1 0 2 -2 0 0 1 0 4 1 -1 0 -1 -1] [ 1 1 1 1 -1 1 1 -1 -1 1 1 -1 0 1 0 -1 1 4 0 1 0 -1] [-1 -1 -2 0 -1 -1 0 1 -1 0 0 1 1 -1 -1 0 -1 0 4 -1 1 0] [ 2 0 1 2 2 -1 1 -1 -1 0 2 0 0 2 1 1 0 1 -1 4 0 0] [-1 0 -1 -2 -2 0 0 1 -1 1 -1 1 -1 -1 -2 0 -1 0 1 0 4 0] [ 0 1 0 -1 1 -2 0 0 -1 -1 -1 0 0 0 0 2 -1 -1 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 348. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 2 1 -2 -1 -1 0 1 -1 -1 -2 -1 0 2 1 -2 -1 0] [-2 4 -2 1 -1 -2 -1 2 1 1 1 -1 2 1 0 0 -1 -2 1 0 2 1] [ 2 -2 4 -1 0 2 0 -2 -1 -1 -1 0 -2 -1 -1 0 -1 2 1 0 -1 0] [ 0 1 -1 4 -1 1 1 1 2 2 0 0 2 2 1 1 -1 -1 1 1 0 2] [ 1 -1 0 -1 4 -1 0 0 0 0 1 2 1 0 1 1 1 0 -1 -2 -1 0] [ 2 -2 2 1 -1 6 2 -1 1 -1 -2 -1 0 1 -2 0 -2 2 0 2 -1 1] [ 1 -1 0 1 0 2 4 -1 1 1 -1 -1 0 1 0 0 0 1 -1 1 0 1] [-2 2 -2 1 0 -1 -1 4 2 1 0 0 3 1 2 1 -1 -2 0 1 0 1] [-1 1 -1 2 0 1 1 2 4 2 0 0 3 2 1 2 -2 -1 0 2 0 2] [-1 1 -1 2 0 -1 1 1 2 4 0 0 1 2 1 2 0 -2 0 0 0 2] [ 0 1 -1 0 1 -2 -1 0 0 0 4 0 1 0 0 0 1 0 1 -2 1 0] [ 1 -1 0 0 2 -1 -1 0 0 0 0 4 1 -1 0 0 1 0 0 -2 -2 -1] [-1 2 -2 2 1 0 0 3 3 1 1 1 6 1 2 1 -1 -2 1 1 0 2] [-1 1 -1 2 0 1 1 1 2 2 0 -1 1 4 0 2 -1 -1 -1 1 1 2] [-2 0 -1 1 1 -2 0 2 1 1 0 0 2 0 6 1 0 -2 0 2 -1 1] [-1 0 0 1 1 0 0 1 2 2 0 0 1 2 1 4 0 -1 -1 1 0 2] [ 0 -1 -1 -1 1 -2 0 -1 -2 0 1 1 -1 -1 0 0 4 0 -1 -2 0 -1] [ 2 -2 2 -1 0 2 1 -2 -1 -2 0 0 -2 -1 -2 -1 0 4 0 0 0 -1] [ 1 1 1 1 -1 0 -1 0 0 0 1 0 1 -1 0 -1 -1 0 4 -1 0 1] [-2 0 0 1 -2 2 1 1 2 0 -2 -2 1 1 2 1 -2 0 -1 6 1 1] [-1 2 -1 0 -1 -1 0 0 0 0 1 -2 0 1 -1 0 0 0 0 1 4 0] [ 0 1 0 2 0 1 1 1 2 2 0 -1 2 2 1 2 -1 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 349. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 1 -1 2 -2 -1 -1 2 -1 2 0 2 1 -1 -1 0] [ 0 4 -1 -1 1 2 2 1 2 0 -2 2 -1 2 2 -2 -2 -1 -1 2 2 2] [ 1 -1 4 0 0 0 1 0 0 1 1 -1 0 -1 0 0 1 0 0 -1 -2 1] [ 2 -1 0 4 -2 -1 0 0 -1 0 -1 -1 0 2 -1 3 1 2 0 -1 -2 -2] [-2 1 0 -2 4 2 1 -1 1 0 1 1 0 -1 1 -3 -1 -2 0 1 1 1] [-1 2 0 -1 2 4 2 1 2 0 -1 2 0 1 2 -3 -2 -1 0 2 2 2] [ 1 2 1 0 1 2 4 0 2 0 -2 1 -1 2 1 -2 -1 -1 0 1 1 1] [ 1 1 0 0 -1 1 0 4 1 1 0 1 -1 1 1 0 0 1 0 1 0 2] [-1 2 0 -1 1 2 2 1 4 -1 -1 2 0 1 2 -3 0 -2 0 2 2 2] [ 2 0 1 0 0 0 0 1 -1 4 -1 -1 0 1 0 1 -1 2 0 -1 0 0] [-2 -2 1 -1 1 -1 -2 0 -1 -1 6 0 1 -4 0 0 2 -1 -1 0 -2 -1] [-1 2 -1 -1 1 2 1 1 2 -1 0 4 -1 0 2 -2 -1 -1 -1 2 1 1] [-1 -1 0 0 0 0 -1 -1 0 0 1 -1 4 -1 1 0 1 0 0 -1 1 0] [ 2 2 -1 2 -1 1 2 1 1 1 -4 0 -1 6 1 0 -2 1 1 0 2 0] [-1 2 0 -1 1 2 1 1 2 0 0 2 1 1 4 -2 -1 -1 -1 1 2 2] [ 2 -2 0 3 -3 -3 -2 0 -3 1 0 -2 0 0 -2 6 2 3 -1 -2 -3 -2] [ 0 -2 1 1 -1 -2 -1 0 0 -1 2 -1 1 -2 -1 2 4 0 0 -1 -2 0] [ 2 -1 0 2 -2 -1 -1 1 -2 2 -1 -1 0 1 -1 3 0 4 0 -1 -1 -1] [ 1 -1 0 0 0 0 0 0 0 0 -1 -1 0 1 -1 -1 0 0 4 -1 1 1] [-1 2 -1 -1 1 2 1 1 2 -1 0 2 -1 0 1 -2 -1 -1 -1 4 2 1] [-1 2 -2 -2 1 2 1 0 2 0 -2 1 1 2 2 -3 -2 -1 1 2 6 1] [ 0 2 1 -2 1 2 1 2 2 0 -1 1 0 0 2 -2 0 -1 1 1 1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 350. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 0 0 -2 -1 2 0 -1 -2 -1 0 -1 1 1 2 -1 1 1 -1 -1] [ 1 4 2 0 1 0 0 1 0 0 0 0 1 -2 -1 0 -1 0 -1 0 -1 1] [ 2 2 6 2 2 -1 1 2 -1 -2 -1 -2 2 -3 0 0 1 -1 -1 1 -2 -2] [ 0 0 2 4 1 0 0 -1 0 -1 0 -1 0 -2 1 1 0 -1 -1 1 0 0] [ 0 1 2 1 4 1 2 1 -1 -1 1 -1 1 -2 0 -1 0 1 -2 -1 -2 -1] [-2 0 -1 0 1 4 2 0 -1 0 2 1 1 -1 0 0 -2 0 -1 0 1 1] [-1 0 1 0 2 2 4 0 -2 0 1 -1 2 -2 0 0 -1 0 -2 0 -1 -1] [ 2 1 2 -1 1 0 0 4 -1 -1 0 -1 1 -1 0 0 1 0 1 0 -1 -1] [ 0 0 -1 0 -1 -1 -2 -1 4 -1 0 0 -2 1 1 1 -1 0 1 0 1 1] [-1 0 -2 -1 -1 0 0 -1 -1 4 1 2 0 2 0 0 0 1 0 -1 1 1] [-2 0 -1 0 1 2 1 0 0 1 4 0 0 1 0 0 -2 0 -1 0 1 1] [-1 0 -2 -1 -1 1 -1 -1 0 2 0 4 -1 1 0 0 0 1 0 -1 1 1] [ 0 1 2 0 1 1 2 1 -2 0 0 -1 4 -1 -1 -1 0 -1 0 1 -1 -1] [-1 -2 -3 -2 -2 -1 -2 -1 1 2 1 1 -1 6 0 -1 0 1 2 -1 2 0] [ 1 -1 0 1 0 0 0 0 1 0 0 0 -1 0 4 2 0 -1 0 0 1 0] [ 1 0 0 1 -1 0 0 0 1 0 0 0 -1 -1 2 4 0 -1 0 1 1 1] [ 2 -1 1 0 0 -2 -1 1 -1 0 -2 0 0 0 0 0 4 0 1 0 -1 -1] [-1 0 -1 -1 1 0 0 0 0 1 0 1 -1 1 -1 -1 0 4 0 -2 0 0] [ 1 -1 -1 -1 -2 -1 -2 1 1 0 -1 0 0 2 0 0 1 0 4 0 1 0] [ 1 0 1 1 -1 0 0 0 0 -1 0 -1 1 -1 0 1 0 -2 0 4 1 0] [-1 -1 -2 0 -2 1 -1 -1 1 1 1 1 -1 2 1 1 -1 0 1 1 4 1] [-1 1 -2 0 -1 1 -1 -1 1 1 1 1 -1 0 0 1 -1 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 351. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 -1 1 1 -1 -2 -1 -1 1 2 2 1 1 -1 1 -1 1] [ 0 4 -1 -1 1 2 1 -1 1 -1 2 -1 -2 0 -1 0 1 2 -1 -1 -1 2] [ 1 -1 4 0 0 0 1 -1 1 -1 -1 -1 1 2 2 2 0 0 1 0 0 -2] [ 2 -1 0 4 -2 -1 0 2 0 1 -2 0 -1 -1 2 1 1 1 0 1 -1 1] [-2 1 0 -2 4 2 2 -2 -1 1 2 1 1 0 0 0 -1 1 0 -1 1 -1] [-1 2 0 -1 2 4 1 -1 1 -1 1 -1 -1 0 0 0 1 2 0 -2 -1 1] [-1 1 1 0 2 1 4 -2 -1 1 1 0 0 0 0 1 0 2 1 0 0 0] [ 1 -1 -1 2 -2 -1 -2 4 1 0 -1 1 0 -1 0 0 0 0 -1 0 0 1] [ 1 1 1 0 -1 1 -1 1 4 -1 0 -1 -1 1 1 0 0 0 -1 0 0 1] [-1 -1 -1 1 1 -1 1 0 -1 4 0 1 0 -1 1 -1 -1 0 0 1 1 -1] [-2 2 -1 -2 2 1 1 -1 0 0 4 0 0 -1 -1 -1 0 0 0 -1 0 1] [-1 -1 -1 0 1 -1 0 1 -1 1 0 4 2 0 -1 0 -2 -1 -1 1 2 -1] [-1 -2 1 -1 1 -1 0 0 -1 0 0 2 4 1 0 0 -2 -2 0 0 2 -2] [ 1 0 2 -1 0 0 0 -1 1 -1 -1 0 1 4 1 1 -1 0 -1 0 1 -2] [ 2 -1 2 2 0 0 0 0 1 1 -1 -1 0 1 6 1 1 1 -1 1 0 0] [ 2 0 2 1 0 0 1 0 0 -1 -1 0 0 1 1 4 0 1 0 0 0 -1] [ 1 1 0 1 -1 1 0 0 0 -1 0 -2 -2 -1 1 0 4 1 1 -1 -2 2] [ 1 2 0 1 1 2 2 0 0 0 0 -1 -2 0 1 1 1 6 0 0 -2 1] [-1 -1 1 0 0 0 1 -1 -1 0 0 -1 0 -1 -1 0 1 0 4 -1 -1 -1] [ 1 -1 0 1 -1 -2 0 0 0 1 -1 1 0 0 1 0 -1 0 -1 4 1 0] [-1 -1 0 -1 1 -1 0 0 0 1 0 2 2 1 0 0 -2 -2 -1 1 4 -2] [ 1 2 -2 1 -1 1 0 1 1 -1 1 -1 -2 -2 0 -1 2 1 -1 0 -2 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 352. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 1 -1 0 0 -1 1 0 -1 0 2 2 0 1 -1 1] [-2 4 -2 2 1 -1 1 -1 1 0 0 0 -2 0 0 -1 -1 -2 0 -1 1 0] [ 2 -2 4 -2 -1 0 -1 0 -1 -1 1 0 0 1 0 1 1 2 -1 0 0 1] [-2 2 -2 4 1 0 2 -1 1 0 -1 1 0 -1 1 -1 -2 -2 1 -1 0 0] [ 0 1 -1 1 4 -1 2 1 2 1 -1 -1 1 -1 -1 -2 1 -1 1 1 1 1] [ 1 -1 0 0 -1 4 0 0 0 1 -1 -1 2 -1 -1 0 0 0 1 0 -1 1] [-1 1 -1 2 2 0 4 1 2 0 -2 -1 0 -2 -1 -2 -1 -1 2 1 0 0] [ 1 -1 0 -1 1 0 1 4 1 1 -1 -1 1 -1 -1 0 1 1 1 1 0 -1] [-1 1 -1 1 2 0 2 1 4 0 -2 0 1 0 -1 -2 1 -2 0 1 0 0] [ 0 0 -1 0 1 1 0 1 0 4 -1 0 0 -2 0 0 0 0 0 1 0 1] [ 0 0 1 -1 -1 -1 -2 -1 -2 -1 4 0 0 1 0 1 0 1 -1 -1 0 -1] [-1 0 0 1 -1 -1 -1 -1 0 0 0 4 0 1 1 0 0 0 -2 -1 -1 0] [ 1 -2 0 0 1 2 0 1 1 0 0 0 6 0 -2 -1 2 1 1 1 -1 0] [ 0 0 1 -1 -1 -1 -2 -1 0 -2 1 1 0 4 0 1 1 0 -2 -1 1 0] [-1 0 0 1 -1 -1 -1 -1 -1 0 0 1 -2 0 4 1 -2 -1 0 -1 0 0] [ 0 -1 1 -1 -2 0 -2 0 -2 0 1 0 -1 1 1 4 0 1 -1 -1 1 0] [ 2 -1 1 -2 1 0 -1 1 1 0 0 0 2 1 -2 0 4 1 -1 1 0 1] [ 2 -2 2 -2 -1 0 -1 1 -2 0 1 0 1 0 -1 1 1 4 0 1 0 0] [ 0 0 -1 1 1 1 2 1 0 0 -1 -2 1 -2 0 -1 -1 0 4 0 0 0] [ 1 -1 0 -1 1 0 1 1 1 1 -1 -1 1 -1 -1 -1 1 1 0 4 0 0] [-1 1 0 0 1 -1 0 0 0 0 0 -1 -1 1 0 1 0 0 0 0 4 0] [ 1 0 1 0 1 1 0 -1 0 1 -1 0 0 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 353. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 2 1 -1 2 0 2 0 -2 -1 1 1 -1 -2 -2 -2 1 -1] [ 1 4 0 -2 0 0 -1 1 2 1 -1 1 -1 -1 -1 -1 -1 -1 1 0 1 1] [-1 0 4 2 -2 -1 0 2 -2 -1 1 -1 0 0 0 0 -1 2 -1 -1 1 0] [-2 -2 2 6 0 0 2 0 -2 0 2 -2 1 1 0 2 2 0 1 2 0 1] [ 1 0 -2 0 4 2 2 -2 1 0 1 1 1 1 0 1 0 -1 0 0 0 1] [ 2 0 -1 0 2 4 1 -1 2 0 2 -1 -1 -1 0 2 0 -2 0 0 0 -1] [ 1 -1 0 2 2 1 4 -2 0 0 3 0 0 1 0 2 0 -1 -1 0 0 1] [-1 1 2 0 -2 -1 -2 4 -1 -1 -2 -1 0 -1 0 -1 -1 2 0 -1 1 0] [ 2 2 -2 -2 1 2 0 -1 6 0 1 1 -1 0 -2 0 1 -2 2 0 1 0] [ 0 1 -1 0 0 0 0 -1 0 4 0 1 0 -1 0 0 1 -1 0 1 -1 0] [ 2 -1 1 2 1 2 3 -2 1 0 6 0 0 1 0 3 0 -2 -1 0 0 -1] [ 0 1 -1 -2 1 -1 0 -1 1 1 0 4 1 1 -1 -1 0 0 0 0 0 1] [-2 -1 0 1 1 -1 0 0 -1 0 0 1 4 2 0 0 0 2 1 0 0 0] [-1 -1 0 1 1 -1 1 -1 0 -1 1 1 2 4 -1 0 0 0 0 0 0 1] [ 1 -1 0 0 0 0 0 0 -2 0 0 -1 0 -1 4 1 0 0 -1 -1 1 -1] [ 1 -1 0 2 1 2 2 -1 0 0 3 -1 0 0 1 4 1 -2 0 1 0 0] [-1 -1 -1 2 0 0 0 -1 1 1 0 0 0 0 0 1 4 -1 2 2 0 1] [-2 -1 2 0 -1 -2 -1 2 -2 -1 -2 0 2 0 0 -2 -1 6 -1 -2 1 0] [-2 1 -1 1 0 0 -1 0 2 0 -1 0 1 0 -1 0 2 -1 6 3 0 1] [-2 0 -1 2 0 0 0 -1 0 1 0 0 0 0 -1 1 2 -2 3 6 -1 1] [ 1 1 1 0 0 0 0 1 1 -1 0 0 0 0 1 0 0 1 0 -1 4 0] [-1 1 0 1 1 -1 1 0 0 0 -1 1 0 1 -1 0 1 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 354. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -2 -1 1 -1 -1 0 1 -2 -1 0 0 1 -1 0 0 1 -2 0 2] [-1 4 1 0 -1 -2 2 -1 -1 1 -1 2 1 1 -1 -1 -1 1 1 2 -1 -2] [ 0 1 4 1 -2 1 2 0 0 0 -1 -1 0 0 1 -1 1 2 -1 2 0 -1] [-2 0 1 4 1 -1 1 0 0 0 2 1 0 0 -1 0 1 1 -2 2 0 -2] [-1 -1 -2 1 4 0 0 0 0 0 2 0 0 0 0 1 1 0 0 -1 0 0] [ 1 -2 1 -1 0 4 0 0 0 0 -1 -3 0 -1 2 1 1 1 -1 -1 1 2] [-1 2 2 1 0 0 4 0 0 0 -1 0 0 0 0 0 0 1 -1 2 0 -1] [-1 -1 0 0 0 0 0 4 0 -2 1 0 0 0 0 0 -1 -1 0 0 0 1] [ 0 -1 0 0 0 0 0 0 4 -1 0 0 -2 1 -1 -1 1 -1 -1 1 -1 -1] [ 1 1 0 0 0 0 0 -2 -1 4 -1 1 0 -1 -1 0 -1 1 1 0 1 1] [-2 -1 -1 2 2 -1 -1 1 0 -1 6 2 -1 1 0 -1 2 -1 -1 -1 -1 -2] [-1 2 -1 1 0 -3 0 0 0 1 2 6 -1 2 -3 -2 0 0 1 2 -2 -1] [ 0 1 0 0 0 0 0 0 -2 0 -1 -1 4 -1 1 0 -1 1 0 -1 0 0] [ 0 1 0 0 0 -1 0 0 1 -1 1 2 -1 4 -1 -2 1 0 0 1 -2 -1] [ 1 -1 1 -1 0 2 0 0 -1 -1 0 -3 1 -1 4 0 1 0 0 -2 1 0] [-1 -1 -1 0 1 1 0 0 -1 0 -1 -2 0 -2 0 4 -1 0 0 0 2 1] [ 0 -1 1 1 1 1 0 -1 1 -1 2 0 -1 1 1 -1 4 1 -1 0 -1 -1] [ 0 1 2 1 0 1 1 -1 -1 1 -1 0 1 0 0 0 1 4 0 2 0 0] [ 1 1 -1 -2 0 -1 -1 0 -1 1 -1 1 0 0 0 0 -1 0 4 -1 0 1] [-2 2 2 2 -1 -1 2 0 1 0 -1 2 -1 1 -2 0 0 2 -1 6 0 -2] [ 0 -1 0 0 0 1 0 0 -1 1 -1 -2 0 -2 1 2 -1 0 0 0 4 1] [ 2 -2 -1 -2 0 2 -1 1 -1 1 -2 -1 0 -1 0 1 -1 0 1 -2 1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 355. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 0 2 -1 -1 2 -1 2 1 0 1 -2 -1 -1 1 -1 2 0 1] [ 1 4 -1 0 1 2 0 -1 0 -2 2 2 -1 1 -2 -1 1 0 0 -1 1 1] [ 2 -1 4 2 0 1 0 -1 2 1 1 0 0 0 -1 -1 -1 1 -1 2 -1 1] [ 2 0 2 4 -1 1 -1 -2 2 1 2 0 1 0 -1 -2 0 2 -2 2 0 0] [ 0 1 0 -1 4 -1 -1 -1 1 -2 1 1 -1 1 1 1 -1 -2 2 -1 1 1] [ 2 2 1 1 -1 6 1 -1 1 0 0 2 1 2 -4 -1 -1 2 -1 -1 0 0] [-1 0 0 -1 -1 1 4 0 -1 2 -2 0 1 0 -2 1 1 1 0 -1 -1 1] [-1 -1 -1 -2 -1 -1 0 4 -1 -1 -2 -1 -1 -1 1 1 0 -1 0 0 -1 -1] [ 2 0 2 2 1 1 -1 -1 4 -1 2 0 1 0 -1 0 -2 1 0 2 0 0] [-1 -2 1 1 -2 0 2 -1 -1 6 -2 0 2 -1 1 0 1 2 0 -1 -1 -1] [ 2 2 1 2 1 0 -2 -2 2 -2 6 0 -1 1 -1 -2 -1 1 0 1 0 1] [ 1 2 0 0 1 2 0 -1 0 0 0 4 -1 0 -1 0 0 0 0 -2 0 0] [ 0 -1 0 1 -1 1 1 -1 1 2 -1 -1 4 0 0 0 0 2 0 1 1 0] [ 1 1 0 0 1 2 0 -1 0 -1 1 0 0 4 -2 0 -1 0 0 -1 1 1] [-2 -2 -1 -1 1 -4 -2 1 -1 1 -1 -1 0 -2 6 0 0 -2 2 0 0 -1] [-1 -1 -1 -2 1 -1 1 1 0 0 -2 0 0 0 0 4 0 -1 1 -1 0 0] [-1 1 -1 0 -1 -1 1 0 -2 1 -1 0 0 -1 0 0 4 0 -1 0 1 1] [ 1 0 1 2 -2 2 1 -1 1 2 1 0 2 0 -2 -1 0 4 -1 1 0 0] [-1 0 -1 -2 2 -1 0 0 0 0 0 0 0 0 2 1 -1 -1 4 -2 0 0] [ 2 -1 2 2 -1 -1 -1 0 2 -1 1 -2 1 -1 0 -1 0 1 -2 6 1 1] [ 0 1 -1 0 1 0 -1 -1 0 -1 0 0 1 1 0 0 1 0 0 1 4 0] [ 1 1 1 0 1 0 1 -1 0 -1 1 0 0 1 -1 0 1 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 356. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 1 1 -1 -2 1 0 1 -1 0 -1 2 0 0 0 1 -2 -2 -1] [ 2 4 -2 -1 -1 0 -1 -2 2 1 0 1 -1 -1 1 -1 -1 0 1 -2 -2 -1] [-2 -2 4 1 1 -1 2 2 0 0 0 0 -1 0 -2 1 0 0 0 2 0 2] [-2 -1 1 6 -3 -2 -1 1 0 2 -2 0 2 1 -1 2 2 1 -2 1 2 2] [ 1 -1 1 -3 6 1 2 1 0 -1 1 0 -1 1 -1 -1 -1 1 1 1 -1 -1] [ 1 0 -1 -2 1 4 1 -1 1 -2 0 -1 -1 1 2 -1 0 -1 -1 -1 -1 -1] [-1 -1 2 -1 2 1 4 1 0 0 0 0 -2 0 -1 -1 0 0 0 1 0 1] [-2 -2 2 1 1 -1 1 4 -2 1 0 0 0 0 -2 1 0 0 0 2 0 0] [ 1 2 0 0 0 1 0 -2 4 0 -1 1 -1 0 1 0 -1 0 0 -1 -1 0] [ 0 1 0 2 -1 -2 0 1 0 4 0 0 1 -1 -1 1 0 0 0 0 0 0] [ 1 0 0 -2 1 0 0 0 -1 0 4 0 0 0 1 0 0 0 1 0 -1 -1] [-1 1 0 0 0 -1 0 0 1 0 0 4 -1 1 0 -1 -1 0 0 0 1 -1] [ 0 -1 -1 2 -1 -1 -2 0 -1 1 0 -1 4 0 0 1 1 0 -1 0 2 0] [-1 -1 0 1 1 1 0 0 0 -1 0 1 0 4 0 0 1 1 -1 1 1 0] [ 2 1 -2 -1 -1 2 -1 -2 1 -1 1 0 0 0 4 0 0 -1 -1 -2 -1 -1] [ 0 -1 1 2 -1 -1 -1 1 0 1 0 -1 1 0 0 4 0 1 0 0 -1 1] [ 0 -1 0 2 -1 0 0 0 -1 0 0 -1 1 1 0 0 4 0 0 1 2 1] [ 0 0 0 1 1 -1 0 0 0 0 0 0 0 1 -1 1 0 4 1 1 0 1] [ 1 1 0 -2 1 -1 0 0 0 0 1 0 -1 -1 -1 0 0 1 4 0 -1 0] [-2 -2 2 1 1 -1 1 2 -1 0 0 0 0 1 -2 0 1 1 0 4 2 1] [-2 -2 0 2 -1 -1 0 0 -1 0 -1 1 2 1 -1 -1 2 0 -1 2 6 0] [-1 -1 2 2 -1 -1 1 0 0 0 -1 -1 0 0 -1 1 1 1 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 357. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 -1 -1 -1 1 1 -1 1 0 0 -1 -2 0 1 2 0] [ 0 4 -1 -1 1 2 1 1 1 1 -1 1 -1 0 1 -1 -1 1 1 2 -1 0] [ 1 -1 4 0 0 0 0 1 1 1 0 1 -1 -1 -2 1 -1 -2 -2 0 2 -1] [ 2 -1 0 4 -2 -1 0 -2 0 -1 0 0 0 0 0 1 0 0 0 1 0 -1] [-2 1 0 -2 4 2 -1 2 2 0 -1 -1 1 0 0 0 1 1 0 1 -1 1] [-1 2 0 -1 2 4 1 1 1 0 -2 1 -1 0 0 0 -1 2 0 2 -2 -1] [ 1 1 0 0 -1 1 4 1 0 -1 0 1 -1 -1 -1 -1 -1 1 -1 1 -1 -1] [-1 1 1 -2 2 1 1 4 2 1 -1 0 0 -1 -1 0 0 0 -1 1 0 0] [-1 1 1 0 2 1 0 2 4 1 -1 0 1 -1 -1 1 0 1 -1 1 -1 -1] [-1 1 1 -1 0 0 -1 1 1 4 0 0 -1 0 0 1 0 0 0 0 0 0] [ 1 -1 0 0 -1 -2 0 -1 -1 0 4 0 0 0 -1 -1 0 -2 -1 -1 2 1] [ 1 1 1 0 -1 1 1 0 0 0 0 4 -1 0 0 0 -2 0 -1 1 0 -1] [-1 -1 -1 0 1 -1 -1 0 1 -1 0 -1 4 1 0 1 1 0 0 0 0 1] [ 1 0 -1 0 0 0 -1 -1 -1 0 0 0 1 4 1 1 0 0 1 0 0 2] [ 0 1 -2 0 0 0 -1 -1 -1 0 -1 0 0 1 4 0 1 1 2 1 -1 1] [ 0 -1 1 1 0 0 -1 0 1 1 -1 0 1 1 0 4 1 1 -1 0 0 0] [-1 -1 -1 0 1 -1 -1 0 0 0 0 -2 1 0 1 1 4 1 0 -1 -1 1] [-2 1 -2 0 1 2 1 0 1 0 -2 0 0 0 1 1 1 6 1 1 -4 0] [ 0 1 -2 0 0 0 -1 -1 -1 0 -1 -1 0 1 2 -1 0 1 4 0 -1 1] [ 1 2 0 1 1 2 1 1 1 0 -1 1 0 0 1 0 -1 1 0 6 0 0] [ 2 -1 2 0 -1 -2 -1 0 -1 0 2 0 0 0 -1 0 -1 -4 -1 0 6 0] [ 0 0 -1 -1 1 -1 -1 0 -1 0 1 -1 1 2 1 0 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 358. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -2 1 1 0 2 -2 -1 0 1 1 0 -1 0 -1 -1 2 1 0] [-1 4 0 0 0 1 0 0 0 0 2 -1 -2 -2 -1 2 -1 0 2 -2 0 1] [-2 0 4 -2 0 -1 -1 -1 0 1 0 -1 1 1 1 -1 -1 1 0 -2 -1 -1] [ 2 0 -2 4 -2 1 2 1 0 -2 0 0 0 0 -1 1 1 -1 0 2 1 1] [-2 0 0 -2 4 0 -1 1 -2 2 0 1 -1 -1 0 0 1 1 0 -1 -1 -1] [ 1 1 -1 1 0 4 -1 2 0 -2 0 -1 -1 -2 -2 -1 1 -1 0 1 1 1] [ 1 0 -1 2 -1 -1 4 -1 0 -1 0 0 0 0 1 2 -1 1 0 1 -1 -1] [ 0 0 -1 1 1 2 -1 4 -2 -1 -1 0 -1 0 -1 -1 1 0 -1 0 0 1] [ 2 0 0 0 -2 0 0 -2 4 -1 0 -1 1 0 0 -1 -1 -1 0 0 1 0] [-2 0 1 -2 2 -2 -1 -1 -1 4 1 1 0 1 1 0 0 1 1 -2 -1 0] [-1 2 0 0 0 0 0 -1 0 1 4 -1 -1 -2 -1 2 0 -1 1 0 1 1] [ 0 -1 -1 0 1 -1 0 0 -1 1 -1 4 -1 2 1 1 1 1 -1 1 -1 -1] [ 1 -2 1 0 -1 -1 0 -1 1 0 -1 -1 4 2 1 -2 0 -1 -1 1 1 0] [ 1 -2 1 0 -1 -2 0 0 0 1 -2 2 2 6 3 -2 0 1 -2 0 -1 0] [ 0 -1 1 -1 0 -2 1 -1 0 1 -1 1 1 3 4 0 -1 1 -1 -1 -1 -1] [-1 2 -1 1 0 -1 2 -1 -1 0 2 1 -2 -2 0 6 0 1 1 0 0 0] [ 0 -1 -1 1 1 1 -1 1 -1 0 0 1 0 0 -1 0 4 -1 0 2 1 1] [-1 0 1 -1 1 -1 1 0 -1 1 -1 1 -1 1 1 1 -1 4 0 -1 -2 -1] [-1 2 0 0 0 0 0 -1 0 1 1 -1 -1 -2 -1 1 0 0 4 -2 0 1] [ 2 -2 -2 2 -1 1 1 0 0 -2 0 1 1 0 -1 0 2 -1 -2 6 2 0] [ 1 0 -1 1 -1 1 -1 0 1 -1 1 -1 1 -1 -1 0 1 -2 0 2 4 1] [ 0 1 -1 1 -1 1 -1 1 0 0 1 -1 0 0 -1 0 1 -1 1 0 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 359. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 0 -2 -1 -2 1 0 1 1 1 0 -1 0 0 0 1 0 -1 -1] [-1 6 0 -3 2 3 3 -1 2 2 -3 -2 -1 0 -1 -2 -1 2 -1 -2 0 0] [-2 0 6 -3 2 1 -1 1 -1 1 1 1 0 2 2 1 -2 -1 1 1 2 2] [ 2 -3 -3 6 -3 -2 -1 -1 0 -1 1 0 1 -1 0 0 2 0 -1 0 -1 -1] [ 0 2 2 -3 4 0 0 -1 0 2 -1 0 -1 1 0 -1 -1 0 1 0 0 0] [-2 3 1 -2 0 4 2 0 0 0 -2 -1 0 0 0 0 0 1 -1 -1 1 1] [-1 3 -1 -1 0 2 4 0 0 0 -1 -2 0 0 0 0 0 2 -2 -2 -1 -1] [-2 -1 1 -1 -1 0 0 4 -1 0 0 0 -1 0 0 1 -1 0 -1 0 1 1] [ 1 2 -1 0 0 0 0 -1 4 0 0 -1 -1 0 -1 -1 0 0 1 0 0 0] [ 0 2 1 -1 2 0 0 0 0 4 -2 0 0 0 -1 -2 -1 0 -1 0 1 1] [ 1 -3 1 1 -1 -2 -1 0 0 -2 6 1 1 2 2 1 1 -2 2 2 -1 -1] [ 1 -2 1 0 0 -1 -2 0 -1 0 1 4 2 1 1 1 0 -1 1 1 0 1] [ 1 -1 0 1 -1 0 0 -1 -1 0 1 2 4 1 1 1 0 0 0 0 0 0] [ 0 0 2 -1 1 0 0 0 0 0 2 1 1 4 1 1 0 -1 1 1 -1 1] [-1 -1 2 0 0 0 0 0 -1 -1 2 1 1 1 4 1 0 -1 0 0 0 0] [ 0 -2 1 0 -1 0 0 1 -1 -2 1 1 1 1 1 4 0 0 0 0 0 1] [ 0 -1 -2 2 -1 0 0 -1 0 -1 1 0 0 0 0 0 4 -1 0 1 -1 0] [ 0 2 -1 0 0 1 2 0 0 0 -2 -1 0 -1 -1 0 -1 4 -1 -2 0 -1] [ 1 -1 1 -1 1 -1 -2 -1 1 -1 2 1 0 1 0 0 0 -1 4 1 0 0] [ 0 -2 1 0 0 -1 -2 0 0 0 2 1 0 1 0 0 1 -2 1 4 1 1] [-1 0 2 -1 0 1 -1 1 0 1 -1 0 0 -1 0 0 -1 0 0 1 4 1] [-1 0 2 -1 0 1 -1 1 0 1 -1 1 0 1 0 1 0 -1 0 1 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 360. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 0 0 2 1 -2 -1 -2 0 -1 -1 0 0 1 1 -1 0 1 -1 1] [ 1 4 -1 0 0 2 -1 -2 -1 -1 -1 -2 -1 1 0 2 1 -1 0 1 -1 0] [ 0 -1 4 0 0 0 2 0 2 0 -1 1 2 -1 1 -2 1 2 1 -2 1 -1] [ 0 0 0 4 -2 0 -1 1 -1 0 -2 1 -2 0 1 2 2 0 -2 0 -1 1] [ 0 0 0 -2 4 -1 0 -1 2 0 2 -1 2 0 0 -1 -2 0 2 0 0 0] [ 2 2 0 0 -1 4 0 -2 -1 -2 -1 0 0 1 -1 2 1 0 -1 0 -1 1] [ 1 -1 2 -1 0 0 4 0 0 -1 0 0 2 0 0 -2 0 1 1 -1 0 0] [-2 -2 0 1 -1 -2 0 4 0 2 0 2 -1 -1 1 0 0 0 0 0 1 -1] [-1 -1 2 -1 2 -1 0 0 4 1 1 0 2 -1 1 -1 -1 1 2 -1 1 -1] [-2 -1 0 0 0 -2 -1 2 1 4 0 1 0 -1 1 -1 -1 1 1 -1 2 -1] [ 0 -1 -1 -2 2 -1 0 0 1 0 4 0 0 -1 0 0 -2 -1 1 1 0 -1] [-1 -2 1 1 -1 0 0 2 0 1 0 4 0 -1 0 0 0 1 -1 -1 1 0] [-1 -1 2 -2 2 0 2 -1 2 0 0 0 6 0 -1 -3 -1 3 2 -3 0 0] [ 0 1 -1 0 0 1 0 -1 -1 -1 -1 -1 0 4 0 0 -1 -1 -1 0 0 2] [ 0 0 1 1 0 -1 0 1 1 1 0 0 -1 0 4 1 1 -1 0 0 0 -1] [ 1 2 -2 2 -1 2 -2 0 -1 -1 0 0 -3 0 1 6 2 -2 -2 2 -2 1] [ 1 1 1 2 -2 1 0 0 -1 -1 -2 0 -1 -1 1 2 4 0 -1 0 -1 0] [-1 -1 2 0 0 0 1 0 1 1 -1 1 3 -1 -1 -2 0 4 1 -2 1 0] [ 0 0 1 -2 2 -1 1 0 2 1 1 -1 2 -1 0 -2 -1 1 4 -1 1 -1] [ 1 1 -2 0 0 0 -1 0 -1 -1 1 -1 -3 0 0 2 0 -2 -1 4 0 0] [-1 -1 1 -1 0 -1 0 1 1 2 0 1 0 0 0 -2 -1 1 1 0 4 -1] [ 1 0 -1 1 0 1 0 -1 -1 -1 -1 0 0 2 -1 1 0 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 361. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 -2 2 1 -2 2 1 -2 0 2 1 2 2 -2 1 -2 1 -2] [-2 4 -1 1 2 2 -2 -2 2 0 1 0 1 -2 -2 -2 0 0 -1 2 -2 2] [ 0 -1 4 -2 -2 1 1 2 -2 -1 -1 1 0 1 1 0 -2 2 1 -2 1 0] [ 0 1 -2 4 2 -1 -1 0 2 2 2 -2 -1 0 -2 1 1 -2 -2 2 -1 0] [-1 2 -2 2 4 1 -1 -1 1 0 2 0 -1 -1 -1 -1 0 0 -2 1 -1 1] [-2 2 1 -1 1 4 0 -1 0 -1 -1 1 0 -2 -1 -2 -1 1 -1 1 0 2] [ 2 -2 1 -1 -1 0 4 1 -3 1 0 -1 -1 1 0 1 0 0 1 -2 2 -1] [ 1 -2 2 0 -1 -1 1 4 -2 1 1 -1 0 2 0 1 0 0 0 -1 1 -1] [-2 2 -2 2 1 0 -3 -2 6 -1 -1 0 -1 -1 0 -1 -1 0 -1 2 -2 2] [ 2 0 -1 2 0 -1 1 1 -1 6 1 -4 2 1 -3 1 4 -3 0 1 -1 -2] [ 1 1 -1 2 2 -1 0 1 -1 1 6 -2 1 1 -1 0 2 -2 -1 1 -1 0] [-2 0 1 -2 0 1 -1 -1 0 -4 -2 6 0 -2 3 0 -3 3 1 -1 0 1] [ 0 1 0 -1 -1 0 -1 0 -1 2 1 0 6 0 -1 -1 3 -2 2 2 -2 -1] [ 2 -2 1 0 -1 -2 1 2 -1 1 1 -2 0 4 1 1 0 0 1 -2 1 -2] [ 1 -2 1 -2 -1 -1 0 0 0 -3 -1 3 -1 1 6 1 -2 1 1 -3 1 0] [ 2 -2 0 1 -1 -2 1 1 -1 1 0 0 -1 1 1 4 1 -1 0 -1 1 -1] [ 2 0 -2 1 0 -1 0 0 -1 4 2 -3 3 0 -2 1 6 -4 0 2 -1 -1] [-2 0 2 -2 0 1 0 0 0 -3 -2 3 -2 0 1 -1 -4 6 1 -2 1 1] [ 1 -1 1 -2 -2 -1 1 0 -1 0 -1 1 2 1 1 0 0 1 4 -2 0 -1] [-2 2 -2 2 1 1 -2 -1 2 1 1 -1 2 -2 -3 -1 2 -2 -2 6 -1 1] [ 1 -2 1 -1 -1 0 2 1 -2 -1 -1 0 -2 1 1 1 -1 1 0 -1 4 -1] [-2 2 0 0 1 2 -1 -1 2 -2 0 1 -1 -2 0 -1 -1 1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 362. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 -1 2 -2 1 -2 1 -2 0 -1 2 1 0 -1 -2 0 0] [-2 4 1 -1 2 1 -1 -1 2 -1 2 0 0 1 1 -1 1 -1 0 0 1 1] [ 0 1 4 1 1 2 -2 -1 1 1 1 1 1 -1 -1 0 2 -2 -2 -1 2 2] [ 1 -1 1 4 -1 1 -1 -1 -1 2 0 1 0 0 -1 2 1 1 0 -2 -1 1] [-2 2 1 -1 4 2 0 -2 2 -1 2 -1 0 0 1 -2 -1 -2 -1 2 2 1] [-1 1 2 1 2 4 0 -1 1 1 1 1 0 0 -1 -1 1 -1 -2 1 1 2] [-1 -1 -2 -1 0 0 6 2 0 0 -2 0 2 -1 1 -2 -3 -1 -1 2 1 0] [ 2 -1 -1 -1 -2 -1 2 6 -2 1 -3 1 -1 1 1 1 1 1 0 -1 -1 0] [-2 2 1 -1 2 1 0 -2 4 -2 2 0 2 0 0 -2 0 -2 0 2 2 1] [ 1 -1 1 2 -1 1 0 1 -2 4 -1 0 -1 0 0 1 0 1 0 -1 -1 1] [-2 2 1 0 2 1 -2 -3 2 -1 4 0 1 1 0 -1 1 -1 0 0 1 0] [ 1 0 1 1 -1 1 0 1 0 0 0 4 1 1 -2 1 2 -1 -1 -1 1 1] [-2 0 1 0 0 0 2 -1 2 -1 1 1 6 -2 -1 -2 0 -2 0 0 2 1] [ 0 1 -1 0 0 0 -1 1 0 0 1 1 -2 4 1 1 1 1 1 0 -1 0] [-1 1 -1 -1 1 -1 1 1 0 0 0 -2 -1 1 4 -1 -1 0 1 0 0 -1] [ 2 -1 0 2 -2 -1 -2 1 -2 1 -1 1 -2 1 -1 4 1 2 1 -2 -2 0] [ 1 1 2 1 -1 1 -3 1 0 0 1 2 0 1 -1 1 6 1 -1 -3 0 1] [ 0 -1 -2 1 -2 -1 -1 1 -2 1 -1 -1 -2 1 0 2 1 6 3 0 -4 -1] [-1 0 -2 0 -1 -2 -1 0 0 0 0 -1 0 1 1 1 -1 3 6 0 -3 -1] [-2 0 -1 -2 2 1 2 -1 2 -1 0 -1 0 0 0 -2 -3 0 0 6 1 0] [ 0 1 2 -1 2 1 1 -1 2 -1 1 1 2 -1 0 -2 0 -4 -3 1 6 1] [ 0 1 2 1 1 2 0 0 1 1 0 1 1 0 -1 0 1 -1 -1 0 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 363. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 1 1 1 2 1 -1 -1 0 0 -1 -2 2 -2 -1 1 -1 -2 2] [-2 4 2 -2 1 -1 0 -1 1 -1 1 1 -1 1 2 -2 2 1 -2 0 2 -2] [-2 2 4 -1 1 0 -1 -1 -1 0 0 0 0 0 2 -2 2 0 -2 0 2 -2] [ 2 -2 -1 4 -1 0 1 2 -1 -1 -2 0 0 0 -2 0 0 -2 0 0 -2 0] [ 1 1 1 -1 4 1 1 1 0 0 1 0 0 -1 1 1 -1 1 0 -1 1 1] [ 1 -1 0 0 1 4 1 1 0 1 0 -2 2 -1 1 0 0 0 0 -2 1 0] [ 1 0 -1 1 1 1 4 2 0 -1 0 0 0 0 -1 -1 1 -1 -1 -1 -1 -1] [ 2 -1 -1 2 1 1 2 4 0 0 -1 -1 0 -1 -2 1 -1 0 0 -1 -2 0] [ 1 1 -1 -1 0 0 0 0 4 0 0 0 0 1 -1 1 -1 1 0 0 -1 1] [-1 -1 0 -1 0 1 -1 0 0 4 1 -1 1 -1 1 1 -1 2 1 0 1 1] [-1 1 0 -2 1 0 0 -1 0 1 4 0 -1 0 1 -1 1 2 1 -1 1 1] [ 0 1 0 0 0 -2 0 -1 0 -1 0 4 -2 1 0 0 0 0 -1 0 0 -1] [ 0 -1 0 0 0 2 0 0 0 1 -1 -2 4 0 1 1 0 0 0 0 0 0] [-1 1 0 0 -1 -1 0 -1 1 -1 0 1 0 4 -1 -1 0 0 -1 0 0 0] [-2 2 2 -2 1 1 -1 -2 -1 1 1 0 1 -1 6 -2 1 1 -1 -1 4 -1] [ 2 -2 -2 0 1 0 -1 1 1 1 -1 0 1 -1 -2 6 -3 1 2 1 -2 3] [-2 2 2 0 -1 0 1 -1 -1 -1 1 0 0 0 1 -3 6 -1 -2 0 1 -3] [-1 1 0 -2 1 0 -1 0 1 2 2 0 0 0 1 1 -1 4 1 0 1 1] [ 1 -2 -2 0 0 0 -1 0 0 1 1 -1 0 -1 -1 2 -2 1 4 0 -1 3] [-1 0 0 0 -1 -2 -1 -1 0 0 -1 0 0 0 -1 1 0 0 0 4 0 0] [-2 2 2 -2 1 1 -1 -2 -1 1 1 0 0 0 4 -2 1 1 -1 0 6 -1] [ 2 -2 -2 0 1 0 -1 0 1 1 1 -1 0 0 -1 3 -3 1 3 0 -1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 364. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 2 1 -1 -1 -2 1 -2 2 1 0 -1 0 1 0 -2 -1 1] [-2 4 -2 1 -1 -1 0 0 1 2 0 0 -2 -1 1 1 1 -1 0 0 0 1] [ 2 -2 4 -1 0 1 0 -1 -1 -2 0 0 2 2 0 -2 -1 1 -1 -2 0 0] [ 0 1 -1 4 -1 0 1 1 2 1 1 0 -1 1 -1 2 2 1 1 1 -1 1] [ 1 -1 0 -1 4 -1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 -1 -1] [ 2 -1 1 0 -1 4 1 -2 0 -1 0 -2 2 0 -1 0 -1 1 0 -2 0 2] [ 1 0 0 1 1 1 4 0 1 0 2 0 1 1 0 0 1 0 2 -1 -2 1] [-1 0 -1 1 1 -2 0 4 1 0 1 1 -1 0 -1 0 1 1 1 1 -1 -1] [-1 1 -1 2 0 0 1 1 4 1 0 1 0 0 -2 1 0 1 2 0 0 0] [-2 2 -2 1 0 -1 0 0 1 4 -1 1 -1 -1 0 2 1 -1 0 1 0 0] [ 1 0 0 1 1 0 2 1 0 -1 4 -1 0 0 1 0 2 0 1 0 -2 1] [-2 0 0 0 0 -2 0 1 1 1 -1 4 0 1 -1 0 0 -1 1 1 1 -1] [ 2 -2 2 -1 0 2 1 -1 0 -1 0 0 4 0 -1 -1 -1 0 0 -3 0 0] [ 1 -1 2 1 0 0 1 0 0 -1 0 1 0 4 0 -1 0 1 0 0 0 0] [ 0 1 0 -1 0 -1 0 -1 -2 0 1 -1 -1 0 4 -1 1 -1 -1 0 -1 0] [-1 1 -2 2 0 0 0 0 1 2 0 0 -1 -1 -1 4 1 -1 1 2 0 1] [ 0 1 -1 2 0 -1 1 1 0 1 2 0 -1 0 1 1 4 -1 1 1 -2 1] [ 1 -1 1 1 0 1 0 1 1 -1 0 -1 0 1 -1 -1 -1 4 0 0 0 0] [ 0 0 -1 1 1 0 2 1 2 0 1 1 0 0 -1 1 1 0 4 0 -1 1] [-2 0 -2 1 1 -2 -1 1 0 1 0 1 -3 0 0 2 1 0 0 6 1 -1] [-1 0 0 -1 -1 0 -2 -1 0 0 -2 1 0 0 -1 0 -2 0 -1 1 4 -1] [ 1 1 0 1 -1 2 1 -1 0 0 1 -1 0 0 0 1 1 0 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 365. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 -2 2 -1 0 2 2 -2 -1 1 -1 0 2 0 -2 -2 0 2 1 -1] [-1 4 -1 0 0 0 0 0 -1 2 2 0 -1 0 -1 1 2 0 1 0 1 2] [-1 -1 4 1 -1 2 -1 0 1 1 -2 -2 2 -1 -2 1 1 1 1 -1 0 1] [-2 0 1 4 -2 1 -1 -2 -1 2 -1 -1 1 1 0 -1 2 2 -1 -2 -1 -1] [ 2 0 -1 -2 4 -2 1 2 0 -1 -1 1 0 1 1 0 0 -2 1 2 0 -1] [-1 0 2 1 -2 4 -2 -1 0 2 -1 -2 0 -2 -2 0 0 1 1 -1 0 2] [ 0 0 -1 -1 1 -2 4 0 0 -1 2 1 1 1 1 0 1 0 0 0 -1 0] [ 2 0 0 -2 2 -1 0 4 2 -2 0 0 -1 -1 0 0 0 -2 0 2 0 1] [ 2 -1 1 -1 0 0 0 2 4 -1 -1 0 0 -1 1 0 0 -1 0 1 0 1] [-2 2 1 2 -1 2 -1 -2 -1 6 -1 -2 0 1 0 0 2 2 1 -2 0 1] [-1 2 -2 -1 -1 -1 2 0 -1 -1 6 1 -1 -1 -1 0 1 1 0 -1 0 1] [ 1 0 -2 -1 1 -2 1 0 0 -2 1 4 0 1 2 0 -1 0 0 1 0 -1] [-1 -1 2 1 0 0 1 -1 0 0 -1 0 4 0 0 1 1 1 0 -1 0 0] [ 0 0 -1 1 1 -2 1 -1 -1 1 -1 1 0 4 2 -1 0 0 0 0 -1 -2] [ 2 -1 -2 0 1 -2 1 0 1 0 -1 2 0 2 6 0 -2 0 -2 0 0 -1] [ 0 1 1 -1 0 0 0 0 0 0 0 0 1 -1 0 4 0 0 0 0 2 2] [-2 2 1 2 0 0 1 0 0 2 1 -1 1 0 -2 0 6 1 1 -1 -1 1] [-2 0 1 2 -2 1 0 -2 -1 2 1 0 1 0 0 0 1 4 0 -2 0 0] [ 0 1 1 -1 1 1 0 0 0 1 0 0 0 0 -2 0 1 0 4 0 0 1] [ 2 0 -1 -2 2 -1 0 2 1 -2 -1 1 -1 0 0 0 -1 -2 0 4 1 0] [ 1 1 0 -1 0 0 -1 0 0 0 0 0 0 -1 0 2 -1 0 0 1 4 0] [-1 2 1 -1 -1 2 0 1 1 1 1 -1 0 -2 -1 2 1 0 1 0 0 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 366. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 -2 -1 -1 2 1 -2 -1 1 2 -1 0 -1 0 -1 0 1 1] [-1 6 0 -3 -1 1 -2 -2 0 0 1 2 2 -3 3 1 2 1 0 -1 2 2] [-2 0 6 -3 -1 1 2 3 -1 -2 1 -1 -3 0 0 -2 1 2 2 1 0 0] [ 2 -3 -3 6 0 0 1 -1 2 1 0 0 1 3 -3 0 -1 -2 -1 -1 -2 -2] [ 2 -1 -1 0 4 -2 0 0 0 0 -2 -2 -1 0 -1 0 0 0 -1 0 2 1] [-2 1 1 0 -2 4 0 1 -1 -1 2 1 -1 -1 1 -1 1 0 0 -1 -2 0] [-1 -2 2 1 0 0 4 1 -1 0 0 -1 -1 1 -2 -1 1 -1 0 0 -1 -2] [-1 -2 3 -1 0 1 1 4 -1 -2 1 -1 -3 0 0 -1 0 1 1 1 -1 0] [ 2 0 -1 2 0 -1 -1 -1 4 1 0 1 1 1 0 1 0 1 1 -1 0 0] [ 1 0 -2 1 0 -1 0 -2 1 4 -1 1 1 0 0 0 -1 0 0 0 0 0] [-2 1 1 0 -2 2 0 1 0 -1 4 1 -1 -1 0 1 1 0 0 -1 -2 0] [-1 2 -1 0 -2 1 -1 -1 1 1 1 4 2 -2 1 1 1 0 1 -1 -1 0] [ 1 2 -3 1 -1 -1 -1 -3 1 1 -1 2 6 -1 1 2 0 -1 0 0 0 0] [ 2 -3 0 3 0 -1 1 0 1 0 -1 -2 -1 6 -3 -1 -2 0 -1 1 -1 -2] [-1 3 0 -3 -1 1 -2 0 0 0 0 1 1 -3 6 0 1 1 1 0 2 2] [ 0 1 -2 0 0 -1 -1 -1 1 0 1 1 2 -1 0 4 0 0 0 -1 -1 0] [-1 2 1 -1 0 1 1 0 0 -1 1 1 0 -2 1 0 4 0 0 -2 1 0] [ 0 1 2 -2 0 0 -1 1 1 0 0 0 -1 0 1 0 0 4 2 1 1 1] [-1 0 2 -1 -1 0 0 1 1 0 0 1 0 -1 1 0 0 2 4 0 0 0] [ 0 -1 1 -1 0 -1 0 1 -1 0 -1 -1 0 1 0 -1 -2 1 0 4 1 0] [ 1 2 0 -2 2 -2 -1 -1 0 0 -2 -1 0 -1 2 -1 1 1 0 1 6 1] [ 1 2 0 -2 1 0 -2 0 0 0 0 0 0 -2 2 0 0 1 0 0 1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 367. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -1 -1 -1 1 1 1 0 -1 0 1 1 1 -2 1 1 -2 -1 -1 1] [-1 4 0 -1 2 -1 -2 1 -1 -1 2 0 1 0 1 2 -2 -1 1 0 1 -1] [ 1 0 4 0 1 -2 -1 2 2 1 -1 1 -1 -1 1 -2 1 0 0 -1 0 0] [-1 -1 0 4 -1 0 1 0 1 -1 -1 1 0 1 1 -1 0 -1 -1 1 1 1] [-1 2 1 -1 4 -1 -2 1 -1 0 1 -1 0 0 0 1 -1 0 1 -1 0 -2] [-1 -1 -2 0 -1 4 0 -1 0 -1 1 -1 1 0 0 1 1 1 0 0 -1 1] [ 1 -2 -1 1 -2 0 4 0 1 1 -1 1 0 1 -1 0 0 1 -1 0 -1 1] [ 1 1 2 0 1 -1 0 4 2 1 1 0 1 1 1 -1 0 0 0 -1 0 0] [ 1 -1 2 1 -1 0 1 2 4 1 -1 1 0 0 1 -1 1 1 -1 -1 -1 1] [ 0 -1 1 -1 0 -1 1 1 1 4 -1 0 -1 0 -2 0 0 1 1 -1 -1 -1] [-1 2 -1 -1 1 1 -1 1 -1 -1 4 0 1 0 0 2 -1 0 1 0 0 0] [ 0 0 1 1 -1 -1 1 0 1 0 0 4 -1 -1 1 0 0 0 -1 0 0 0] [ 1 1 -1 0 0 1 0 1 0 -1 1 -1 4 2 1 0 0 1 -1 -1 0 1] [ 1 0 -1 1 0 0 1 1 0 0 0 -1 2 4 1 -1 -1 0 -1 -1 0 0] [ 1 1 1 1 0 0 -1 1 1 -2 0 1 1 1 4 -1 0 -1 -1 0 1 0] [-2 2 -2 -1 1 1 0 -1 -1 0 2 0 0 -1 -1 6 -2 1 1 0 -1 0] [ 1 -2 1 0 -1 1 0 0 1 0 -1 0 0 -1 0 -2 4 0 0 -1 0 1] [ 1 -1 0 -1 0 1 1 0 1 1 0 0 1 0 -1 1 0 4 -1 -1 -2 1] [-2 1 0 -1 1 0 -1 0 -1 1 1 -1 -1 -1 -1 1 0 -1 4 0 1 -1] [-1 0 -1 1 -1 0 0 -1 -1 -1 0 0 -1 -1 0 0 -1 -1 0 4 2 0] [-1 1 0 1 0 -1 -1 0 -1 -1 0 0 0 0 1 -1 0 -2 1 2 4 -1] [ 1 -1 0 1 -2 1 1 0 1 -1 0 0 1 0 0 0 1 1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 368. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 0 -2 1 -1 1 1 -2 -1 -1 2 1 1 2 0 2 0 0 0] [-2 4 -1 -1 1 2 -1 1 -1 0 2 1 1 -1 -1 0 -1 -1 -2 1 1 0] [ 1 -1 4 -1 0 0 -1 0 1 2 0 0 0 0 2 1 -1 1 1 -1 1 1] [ 2 -1 -1 6 2 -1 0 1 -1 -2 -1 1 1 1 -1 0 1 1 3 -1 -1 -1] [ 0 1 0 2 4 0 0 0 0 -1 0 0 1 0 0 -1 0 0 1 0 -1 1] [-2 2 0 -1 0 4 0 2 0 1 2 1 1 0 0 0 -2 1 -2 -1 0 0] [ 1 -1 -1 0 0 0 4 0 2 0 -1 -2 -1 2 0 -1 0 1 -1 -1 -1 1] [-1 1 0 1 0 2 0 4 0 -1 1 2 2 0 0 0 -1 2 -1 -2 0 0] [ 1 -1 1 -1 0 0 2 0 4 2 -1 -2 0 1 1 -1 0 1 -1 -1 -1 1] [ 1 0 2 -2 -1 1 0 -1 2 6 1 -1 0 0 0 2 -1 0 -2 0 1 -1] [-2 2 0 -1 0 2 -1 1 -1 1 4 2 1 -2 0 0 -2 0 -1 0 0 0] [-1 1 0 1 0 1 -2 2 -2 -1 2 4 2 -1 0 0 -1 0 1 0 0 0] [-1 1 0 1 1 1 -1 2 0 0 1 2 4 -1 -1 0 -1 0 -1 -1 0 0] [ 2 -1 0 1 0 0 2 0 1 0 -2 -1 -1 4 1 0 1 0 1 0 0 1] [ 1 -1 2 -1 0 0 0 0 1 0 0 0 -1 1 4 -1 0 0 2 0 -1 2] [ 1 0 1 0 -1 0 -1 0 -1 2 0 0 0 0 -1 4 1 0 -1 0 2 -1] [ 2 -1 -1 1 0 -2 0 -1 0 -1 -2 -1 -1 1 0 1 4 -1 1 1 0 0] [ 0 -1 1 1 0 1 1 2 1 0 0 0 0 0 0 0 -1 4 0 -2 0 0] [ 2 -2 1 3 1 -2 -1 -1 -1 -2 -1 1 -1 1 2 -1 1 0 6 0 -1 1] [ 0 1 -1 -1 0 -1 -1 -2 -1 0 0 0 -1 0 0 0 1 -2 0 4 1 0] [ 0 1 1 -1 -1 0 -1 0 -1 1 0 0 0 0 -1 2 0 0 -1 1 4 -1] [ 0 0 1 -1 1 0 1 0 1 -1 0 0 0 1 2 -1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 369. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 2 -1 -1 -2 1 -1 0 -1 -2 0 -2 -1 2 1 0 1 1 -1] [ 2 4 -1 -1 1 0 -1 -2 1 -1 1 0 -1 1 -2 1 1 0 -1 1 1 0] [-2 -1 6 -3 -1 3 -1 1 -1 1 1 2 1 2 1 0 -1 -3 -1 -3 1 1] [ 1 -1 -3 6 2 -3 2 1 2 -2 -2 -1 1 -1 1 0 -1 0 2 3 -2 -2] [ 2 1 -1 2 4 0 -1 0 1 -2 0 0 -1 0 -1 -1 1 0 0 1 0 -2] [-1 0 3 -3 0 4 -1 1 -1 1 1 1 0 1 0 -1 0 -1 -1 -2 1 1] [-1 -1 -1 2 -1 -1 4 1 0 -1 -2 0 1 0 1 0 -1 1 2 0 -2 -1] [-2 -2 1 1 0 1 1 4 -1 0 0 0 2 0 2 0 -2 0 0 -1 -1 0] [ 1 1 -1 2 1 -1 0 -1 4 -2 0 -1 -1 0 0 1 1 -2 0 3 -1 0] [-1 -1 1 -2 -2 1 -1 0 -2 4 1 1 1 0 0 -1 -1 0 -1 -1 1 2] [ 0 1 1 -2 0 1 -2 0 0 1 4 0 -1 1 -1 0 1 0 -1 -1 1 1] [-1 0 2 -1 0 1 0 0 -1 1 0 4 2 0 -1 0 -1 -2 -1 -1 1 0] [-2 -1 1 1 -1 0 1 2 -1 1 -1 2 6 1 2 1 -3 -1 -1 -1 -1 1] [ 0 1 2 -1 0 1 0 0 0 0 1 0 1 4 1 0 0 -1 0 -1 0 1] [-2 -2 1 1 -1 0 1 2 0 0 -1 -1 2 1 4 0 -2 -1 1 0 -2 1] [-1 1 0 0 -1 -1 0 0 1 -1 0 0 1 0 0 4 0 -1 -1 1 0 1] [ 2 1 -1 -1 1 0 -1 -2 1 -1 1 -1 -3 0 -2 0 4 1 0 0 1 0] [ 1 0 -3 0 0 -1 1 0 -2 0 0 -2 -1 -1 -1 -1 1 6 1 -1 0 -1] [ 0 -1 -1 2 0 -1 2 0 0 -1 -1 -1 -1 0 1 -1 0 1 4 0 -1 -1] [ 1 1 -3 3 1 -2 0 -1 3 -1 -1 -1 -1 -1 0 1 0 -1 0 6 0 0] [ 1 1 1 -2 0 1 -2 -1 -1 1 1 1 -1 0 -2 0 1 0 -1 0 4 0] [-1 0 1 -2 -2 1 -1 0 0 2 1 0 1 1 1 1 0 -1 -1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 370. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 0 -2 1 0 2 -1 -1 -2 0 1 1 1 -2 1 -2 1] [ 1 4 -2 0 0 0 0 -2 -1 0 0 1 1 0 0 1 -1 0 -1 2 -1 -1] [-1 -2 4 -1 0 0 1 0 1 -1 -1 0 0 0 1 0 1 0 1 -2 2 -1] [ 1 0 -1 4 -1 1 1 -1 0 -1 0 -2 1 -1 -2 -1 0 -1 0 0 -2 1] [ 1 0 0 -1 4 2 -1 -1 1 -1 2 -1 -2 -1 0 2 2 0 -1 0 -1 0] [ 2 0 0 1 2 4 1 -2 2 -2 1 -2 -1 -2 0 1 1 0 -2 0 -2 0] [ 0 0 1 1 -1 1 4 -2 1 -2 -2 -1 2 -1 0 0 -1 0 1 0 1 0] [-2 -2 0 -1 -1 -2 -2 6 -2 2 0 0 -1 1 -1 -2 0 -1 1 -1 2 0] [ 1 -1 1 0 1 2 1 -2 4 -1 1 0 -1 -1 1 0 0 1 -1 -1 0 0] [ 0 0 -1 -1 -1 -2 -2 2 -1 4 1 1 0 1 0 0 -1 0 0 0 0 0] [ 2 0 -1 0 2 1 -2 0 1 1 4 -1 -2 -1 0 1 1 0 -1 0 -1 0] [-1 1 0 -2 -1 -2 -1 0 0 1 -1 4 0 2 1 0 -1 1 0 0 1 0] [-1 1 0 1 -2 -1 2 -1 -1 0 -2 0 4 1 0 0 -2 0 1 0 0 0] [-2 0 0 -1 -1 -2 -1 1 -1 1 -1 2 1 4 1 0 -1 1 1 0 0 0] [ 0 0 1 -2 0 0 0 -1 1 0 0 1 0 1 4 0 0 1 -1 0 0 0] [ 1 1 0 -1 2 1 0 -2 0 0 1 0 0 0 0 4 0 1 0 1 -1 0] [ 1 -1 1 0 2 1 -1 0 0 -1 1 -1 -2 -1 0 0 4 -1 -1 0 0 0] [ 1 0 0 -1 0 0 0 -1 1 0 0 1 0 1 1 1 -1 4 0 1 0 1] [-2 -1 1 0 -1 -2 1 1 -1 0 -1 0 1 1 -1 0 -1 0 4 -1 2 0] [ 1 2 -2 0 0 0 0 -1 -1 0 0 0 0 0 0 1 0 1 -1 4 0 0] [-2 -1 2 -2 -1 -2 1 2 0 0 -1 1 0 0 0 -1 0 0 2 0 6 -2] [ 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -2 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 371. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 1 2 -1 1 -1 1 1 1 -1 -2 -2 -1 -1 -2 -2 -2 1 1] [-1 4 0 -2 0 0 -1 0 -1 0 1 1 2 0 2 2 0 -1 0 2 -1 -1] [-2 0 4 0 -1 -2 0 -1 0 -1 -1 -1 0 1 2 1 0 2 1 0 1 -1] [ 2 -2 0 6 2 1 -2 2 -2 2 1 1 -2 1 -3 -1 -2 1 -2 -3 3 -1] [ 1 0 -1 2 4 0 0 0 0 0 0 2 1 0 0 0 0 -1 -1 0 2 -1] [ 2 0 -2 1 0 4 -2 2 -1 1 2 0 0 0 -2 0 -1 -2 -2 0 0 0] [-1 -1 0 -2 0 -2 4 -1 2 -2 -2 -1 0 0 1 -1 1 1 1 0 0 1] [ 1 0 -1 2 0 2 -1 4 -2 2 1 0 0 0 -1 0 -2 -1 -1 0 0 0] [-1 -1 0 -2 0 -1 2 -2 4 -1 -2 -1 0 0 1 -1 1 1 1 0 0 1] [ 1 0 -1 2 0 1 -2 2 -1 4 1 0 0 0 -1 0 -2 -1 -1 0 0 0] [ 1 1 -1 1 0 2 -2 1 -2 1 4 0 0 0 -1 0 -1 -2 -1 1 -1 0] [ 1 1 -1 1 2 0 -1 0 -1 0 0 4 1 -1 0 0 0 -1 0 0 1 0] [-1 2 0 -2 1 0 0 0 0 0 0 1 4 0 2 2 0 -2 1 3 -1 0] [-2 0 1 1 0 0 0 0 0 0 0 -1 0 4 -1 0 0 2 0 0 1 -2] [-2 2 2 -3 0 -2 1 -1 1 -1 -1 0 2 -1 6 1 1 -1 1 2 0 0] [-1 2 1 -1 0 0 -1 0 -1 0 0 0 2 0 1 4 0 -1 0 2 -1 -1] [-1 0 0 -2 0 -1 1 -2 1 -2 -1 0 0 0 1 0 4 1 1 0 0 -1] [-2 -1 2 1 -1 -2 1 -1 1 -1 -2 -1 -2 2 -1 -1 1 6 1 -2 2 -1] [-2 0 1 -2 -1 -2 1 -1 1 -1 -1 0 1 0 1 0 1 1 4 1 -2 1] [-2 2 0 -3 0 0 0 0 0 0 1 0 3 0 2 2 0 -2 1 6 -2 0] [ 1 -1 1 3 2 0 0 0 0 0 -1 1 -1 1 0 -1 0 2 -2 -2 6 -2] [ 1 -1 -1 -1 -1 0 1 0 1 0 0 0 0 -2 0 -1 -1 -1 1 0 -2 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 372. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 2 1 1 1 1 1 2 -1 -1 1 0 1 1 0 2 2 0 1] [ 2 4 0 -1 2 1 1 2 1 0 1 1 0 1 0 0 1 1 1 1 1 1] [-2 0 4 0 -2 0 -1 -1 0 0 0 2 0 0 -1 -2 -1 1 -2 0 0 0] [-2 -1 0 4 0 0 0 -1 -1 -1 -2 1 1 0 1 1 -1 0 -1 -2 -1 0] [ 2 2 -2 0 4 1 2 1 0 0 0 0 1 0 0 2 1 1 2 0 0 0] [ 1 1 0 0 1 4 2 1 1 1 0 1 1 1 1 1 1 -1 0 0 0 -1] [ 1 1 -1 0 2 2 4 2 0 0 0 0 2 0 0 1 2 -1 1 0 0 0] [ 1 2 -1 -1 1 1 2 6 -1 -1 1 0 0 -1 -1 1 3 0 0 1 0 -1] [ 1 1 0 -1 0 1 0 -1 4 0 0 0 0 2 1 -1 1 0 1 0 0 1] [ 1 0 0 -1 0 1 0 -1 0 4 0 -1 0 1 0 0 0 0 1 0 1 0] [ 2 1 0 -2 0 0 0 1 0 0 4 -1 -1 -1 0 0 0 0 0 2 0 1] [-1 1 2 1 0 1 0 0 0 -1 -1 4 1 0 -1 -1 0 1 -1 -1 -1 -1] [-1 0 0 1 1 1 2 0 0 0 -1 1 4 -1 1 0 1 -1 1 -1 0 0] [ 1 1 0 0 0 1 0 -1 2 1 -1 0 -1 4 0 0 0 0 0 0 1 1] [ 0 0 -1 1 0 1 0 -1 1 0 0 -1 1 0 4 0 -1 -2 1 0 0 1] [ 1 0 -2 1 2 1 1 1 -1 0 0 -1 0 0 0 4 1 0 0 0 0 0] [ 1 1 -1 -1 1 1 2 3 1 0 0 0 1 0 -1 1 4 0 1 0 0 0] [ 0 1 1 0 1 -1 -1 0 0 0 0 1 -1 0 -2 0 0 4 0 0 0 0] [ 2 1 -2 -1 2 0 1 0 1 1 0 -1 1 0 1 0 1 0 4 0 0 1] [ 2 1 0 -2 0 0 0 1 0 0 2 -1 -1 0 0 0 0 0 0 4 1 1] [ 0 1 0 -1 0 0 0 0 0 1 0 -1 0 1 0 0 0 0 0 1 4 0] [ 1 1 0 0 0 -1 0 -1 1 0 1 -1 0 1 1 0 0 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 373. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 2 1 -2 -1 -2 -2 -1 0 2 -2 -1 1 0 0 1 0 -1 -1] [ 0 4 -1 -1 -1 1 1 2 0 0 -1 1 -1 2 2 1 2 0 0 0 -2 1] [ 1 -1 4 -1 0 0 0 0 -1 -1 -1 0 -1 -2 0 1 -1 -1 2 1 1 0] [ 0 -1 -1 4 0 1 0 0 -1 -1 -1 1 0 -1 -1 0 -1 2 0 -2 -1 0] [ 2 -1 0 0 4 0 -2 -1 -1 -1 0 0 3 -2 -1 -1 -1 0 0 0 1 0] [ 1 1 0 1 0 4 -1 1 -2 -2 -1 2 -1 1 1 0 0 0 -1 0 -2 0] [-2 1 0 0 -2 -1 4 2 2 1 0 1 -1 0 1 0 0 0 0 0 -1 0] [-1 2 0 0 -1 1 2 4 1 -1 0 2 -2 0 2 0 0 0 0 0 -2 0] [-2 0 -1 -1 -1 -2 2 1 4 2 1 -1 0 0 0 -1 0 -1 -1 1 0 0] [-2 0 -1 -1 -1 -2 1 -1 2 4 0 -1 0 2 0 -1 0 -1 -1 1 2 0] [-1 -1 -1 -1 0 -1 0 0 1 0 4 0 1 0 0 -1 0 0 -1 0 0 -1] [ 0 1 0 1 0 2 1 2 -1 -1 0 4 -1 0 1 -1 -1 0 0 0 -2 -1] [ 2 -1 -1 0 3 -1 -1 -2 0 0 1 -1 6 -1 -2 -1 0 1 0 -1 0 -1] [-2 2 -2 -1 -2 1 0 0 0 2 0 0 -1 6 1 -1 2 0 -1 0 0 0] [-1 2 0 -1 -1 1 1 2 0 0 0 1 -2 1 4 0 1 -1 -1 0 0 1] [ 1 1 1 0 -1 0 0 0 -1 -1 -1 -1 -1 -1 0 4 1 0 1 0 -1 1] [ 0 2 -1 -1 -1 0 0 0 0 0 0 -1 0 2 1 1 4 1 0 -1 0 0] [ 0 0 -1 2 0 0 0 0 -1 -1 0 0 1 0 -1 0 1 4 1 -2 0 0] [ 1 0 2 0 0 -1 0 0 -1 -1 -1 0 0 -1 -1 1 0 1 4 -1 0 0] [ 0 0 1 -2 0 0 0 0 1 1 0 0 -1 0 0 0 -1 -2 -1 4 1 0] [-1 -2 1 -1 1 -2 -1 -2 0 2 0 -2 0 0 0 -1 0 0 0 1 6 0] [-1 1 0 0 0 0 0 0 0 0 -1 -1 -1 0 1 1 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 374. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 -1 1 2 -1 2 1 2 2 1 -2 -2 1 2 2 -1 2 -2 1] [ 2 4 0 -1 -1 1 2 0 0 1 2 1 2 0 -1 1 1 0 -1 2 -2 1] [ 0 0 4 1 2 -2 -1 0 0 -2 -1 1 -1 -2 -1 1 0 0 1 0 -1 0] [ 0 -1 1 4 0 0 0 0 1 0 0 -1 0 0 -1 1 -1 -1 1 1 1 -1] [-1 -1 2 0 4 -2 -1 -1 -1 -2 -1 0 -1 -1 0 -1 0 0 0 -1 0 1] [ 1 1 -2 0 -2 4 2 1 0 2 1 0 1 2 1 0 1 0 -1 1 1 0] [ 2 2 -1 0 -1 2 4 -1 0 1 2 0 2 1 -1 0 2 0 -2 2 -1 0] [-1 0 0 0 -1 1 -1 4 -1 0 0 1 0 2 1 0 -2 0 1 -1 2 0] [ 2 0 0 1 -1 0 0 -1 4 0 0 0 0 -2 -1 0 1 1 1 1 0 -1] [ 1 1 -2 0 -2 2 1 0 0 4 2 -1 1 0 1 0 0 0 -1 1 -1 0] [ 2 2 -1 0 -1 1 2 0 0 2 4 1 2 0 -1 0 0 0 -2 2 -2 0] [ 2 1 1 -1 0 0 0 1 0 -1 1 6 1 0 -1 0 0 2 -1 0 0 1] [ 1 2 -1 0 -1 1 2 0 0 1 2 1 4 1 -1 0 0 -1 -2 1 0 0] [-2 0 -2 0 -1 2 1 2 -2 0 0 0 1 6 2 -1 -1 -2 0 0 3 0] [-2 -1 -1 -1 0 1 -1 1 -1 1 -1 -1 -1 2 4 -2 -1 -1 1 -1 1 0] [ 1 1 1 1 -1 0 0 0 0 0 0 0 0 -1 -2 4 1 0 0 1 -1 1] [ 2 1 0 -1 0 1 2 -2 1 0 0 0 0 -1 -1 1 4 1 -1 1 -1 1] [ 2 0 0 -1 0 0 0 0 1 0 0 2 -1 -2 -1 0 1 4 0 0 0 1] [-1 -1 1 1 0 -1 -2 1 1 -1 -2 -1 -2 0 1 0 -1 0 4 -1 1 0] [ 2 2 0 1 -1 1 2 -1 1 1 2 0 1 0 -1 1 1 0 -1 4 -1 0] [-2 -2 -1 1 0 1 -1 2 0 -1 -2 0 0 3 1 -1 -1 0 1 -1 6 -1] [ 1 1 0 -1 1 0 0 0 -1 0 0 1 0 0 0 1 1 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 375. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 -1 1 2 2 1 1 1 -1 2 -1 1 0 2 -1 0 1 0 1] [ 1 4 -2 -1 0 2 2 1 -1 -1 1 1 1 1 2 1 1 -2 -1 2 1 1] [-2 -2 4 2 1 -2 -2 -1 0 0 -1 -1 0 -1 -1 0 0 1 1 -1 0 -2] [-1 -1 2 4 -1 0 -2 0 0 0 -1 0 0 0 0 1 0 0 2 0 1 -1] [-1 0 1 -1 4 0 -1 0 -1 0 1 -1 0 1 1 -1 1 0 -1 0 -1 0] [ 1 2 -2 0 0 4 0 2 -1 0 0 0 1 2 2 0 1 -2 0 2 0 2] [ 2 2 -2 -2 -1 0 4 0 0 0 1 0 1 -1 1 0 0 -1 -1 1 0 0] [ 2 1 -1 0 0 2 0 4 1 0 0 0 2 1 1 0 2 -1 0 1 0 1] [ 1 -1 0 0 -1 -1 0 1 4 -1 0 0 1 -1 0 -1 -1 1 -1 -1 -1 -1] [ 1 -1 0 0 0 0 0 0 -1 4 -1 -1 0 -1 0 0 0 1 0 -1 -1 0] [ 1 1 -1 -1 1 0 1 0 0 -1 4 0 0 0 1 -1 0 -1 -1 0 1 1] [-1 1 -1 0 -1 0 0 0 0 -1 0 4 -2 0 0 0 -2 0 -1 0 1 1] [ 2 1 0 0 0 1 1 2 1 0 0 -2 4 0 1 0 2 -1 0 1 0 0] [-1 1 -1 0 1 2 -1 1 -1 -1 0 0 0 4 1 1 1 -1 0 1 0 1] [ 1 2 -1 0 1 2 1 1 0 0 1 0 1 1 4 0 0 -1 -1 1 0 0] [ 0 1 0 1 -1 0 0 0 -1 0 -1 0 0 1 0 4 1 -1 1 1 1 -1] [ 2 1 0 0 1 1 0 2 -1 0 0 -2 2 1 0 1 6 -2 2 2 0 1] [-1 -2 1 0 0 -2 -1 -1 1 1 -1 0 -1 -1 -1 -1 -2 4 0 -2 0 -1] [ 0 -1 1 2 -1 0 -1 0 -1 0 -1 -1 0 0 -1 1 2 0 4 0 1 0] [ 1 2 -1 0 0 2 1 1 -1 -1 0 0 1 1 1 1 2 -2 0 4 1 1] [ 0 1 0 1 -1 0 0 0 -1 -1 1 1 0 0 0 1 0 0 1 1 4 0] [ 1 1 -2 -1 0 2 0 1 -1 0 1 1 0 1 0 -1 1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 376. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 1 -2 2 1 1 1 -1 0 -1 2 2 -1 2 1 -1] [ 1 4 -1 0 -1 2 1 2 -1 1 0 -1 0 0 1 0 0 -1 -2 2 0 0] [-1 -1 4 -1 0 0 0 0 0 0 1 0 1 -1 -2 -1 -1 1 0 -2 -2 2] [-1 0 -1 4 -1 0 0 0 1 0 -1 1 -1 1 2 -1 0 -2 0 1 1 0] [ 1 -1 0 -1 4 -1 1 -1 0 1 1 0 1 -1 -1 0 1 2 1 -1 0 1] [ 1 2 0 0 -1 4 2 2 -1 1 0 0 -1 1 0 0 -1 1 -2 0 0 0] [ 2 1 0 0 1 2 4 1 -2 2 0 0 1 -1 0 0 1 2 -1 0 0 0] [ 1 2 0 0 -1 2 1 4 -1 2 -1 0 0 1 0 0 1 1 -2 0 0 0] [-2 -1 0 1 0 -1 -2 -1 4 -2 -1 -1 0 1 0 0 -1 -2 0 0 1 1] [ 2 1 0 0 1 1 2 2 -2 4 1 0 0 -1 0 0 2 2 -1 0 0 0] [ 1 0 1 -1 1 0 0 -1 -1 1 4 0 0 -1 -1 -1 0 0 1 1 -1 0] [ 1 -1 0 1 0 0 0 0 -1 0 0 4 -1 1 0 -2 1 1 1 0 1 0] [ 1 0 1 -1 1 -1 1 0 0 0 0 -1 4 -1 0 -1 1 1 -1 0 -1 0] [-1 0 -1 1 -1 1 -1 1 1 -1 -1 1 -1 4 1 0 -1 0 0 -1 1 -1] [ 0 1 -2 2 -1 0 0 0 0 0 -1 0 0 1 4 0 0 -2 -1 1 1 -1] [-1 0 -1 -1 0 0 0 0 0 0 -1 -2 -1 0 0 4 0 0 0 -1 0 0] [ 2 0 -1 0 1 -1 1 1 -1 2 0 1 1 -1 0 0 4 1 0 1 1 0] [ 2 -1 1 -2 2 1 2 1 -2 2 0 1 1 0 -2 0 1 6 0 -2 0 0] [-1 -2 0 0 1 -2 -1 -2 0 -1 1 1 -1 0 -1 0 0 0 4 -1 0 0] [ 2 2 -2 1 -1 0 0 0 0 0 1 0 0 -1 1 -1 1 -2 -1 6 2 -1] [ 1 0 -2 1 0 0 0 0 1 0 -1 1 -1 1 1 0 1 0 0 2 4 -1] [-1 0 2 0 1 0 0 0 1 0 0 0 0 -1 -1 0 0 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 377. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 -1 2 2 -2 -1 -1 0 -1 -1 1 1 1 -2 -2 2 1 0] [-2 4 -2 1 -1 2 -2 -2 2 2 -1 -1 2 1 0 1 -1 2 1 -2 -1 0] [ 2 -2 4 0 2 -1 1 2 -2 -1 0 -1 0 -1 -1 -1 0 -2 -2 2 0 -1] [-1 1 0 4 0 -1 1 -1 1 1 0 -2 1 2 -1 1 -1 0 1 0 -1 1] [ 1 -1 2 0 4 1 -1 1 -1 1 0 -2 0 1 -2 -2 0 -1 -1 1 0 1] [-1 2 -1 -1 1 6 -2 0 2 0 -1 0 1 0 -1 1 -2 1 -1 -1 1 0] [ 2 -2 1 1 -1 -2 6 0 0 -3 0 2 0 0 2 3 -1 -1 0 1 1 0] [ 2 -2 2 -1 1 0 0 4 -2 -1 0 -1 -2 -2 -1 0 0 -2 -2 2 0 -1] [-2 2 -2 1 -1 2 0 -2 4 1 -1 0 1 1 0 1 -1 1 1 -1 0 1] [-1 2 -1 1 1 0 -3 -1 1 6 -2 -2 0 2 -1 -2 2 1 1 -1 -2 2] [-1 -1 0 0 0 -1 0 0 -1 -2 4 0 0 0 -1 -1 0 1 1 -1 0 -1] [ 0 -1 -1 -2 -2 0 2 -1 0 -2 0 6 -1 -1 2 1 0 0 0 -1 2 0] [-1 2 0 1 0 1 0 -2 1 0 0 -1 4 1 0 1 -1 1 0 -1 -1 -1] [-1 1 -1 2 1 0 0 -2 1 2 0 -1 1 4 -1 0 0 1 1 -1 0 2] [ 1 0 -1 -1 -2 -1 2 -1 0 -1 -1 2 0 -1 4 1 0 0 1 0 0 0] [ 1 1 -1 1 -2 1 3 0 1 -2 -1 1 1 0 1 6 -1 0 -1 0 1 0] [ 1 -1 0 -1 0 -2 -1 0 -1 2 0 0 -1 0 0 -1 4 0 0 0 0 1] [-2 2 -2 0 -1 1 -1 -2 1 1 1 0 1 1 0 0 0 4 2 -2 0 0] [-2 1 -2 1 -1 -1 0 -2 1 1 1 0 0 1 1 -1 0 2 4 -2 -1 1] [ 2 -2 2 0 1 -1 1 2 -1 -1 -1 -1 -1 -1 0 0 0 -2 -2 4 1 0] [ 1 -1 0 -1 0 1 1 0 0 -2 0 2 -1 0 0 1 0 0 -1 1 4 0] [ 0 0 -1 1 1 0 0 -1 1 2 -1 0 -1 2 0 0 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 378. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 2 -2 -1 0 -2 1 -1 0 -1 2 1 0 -1 1 1 1 -1 0 0] [ 2 4 -2 0 -2 -1 -1 -1 -1 -2 -1 1 1 1 0 0 1 1 0 -1 -1 0] [-2 -2 4 -2 2 2 -1 1 1 1 0 -1 -1 -1 -1 1 -1 -1 -1 1 0 -1] [ 2 0 -2 4 -2 -1 1 -2 1 -1 1 -1 1 1 1 0 0 0 2 0 0 0] [-2 -2 2 -2 4 1 -1 1 1 1 0 -1 -1 -2 -1 -1 -1 -1 -1 1 0 1] [-1 -1 2 -1 1 4 1 -1 2 2 0 -2 1 1 -2 2 -2 -2 -2 2 0 1] [ 0 -1 -1 1 -1 1 4 0 0 2 1 -1 1 2 0 1 -1 -1 -1 1 0 1] [-2 -1 1 -2 1 -1 0 6 -3 1 1 3 -3 -2 2 -2 1 1 0 -1 1 -2] [ 1 -1 1 1 1 2 0 -3 6 1 1 -3 3 1 -1 1 -2 -2 0 2 1 1] [-1 -2 1 -1 1 2 2 1 1 6 0 -1 2 1 -1 -1 -2 -2 -1 2 0 1] [ 0 -1 0 1 0 0 1 1 1 0 4 -1 1 0 0 -1 1 -1 1 1 1 -1] [-1 1 -1 -1 -1 -2 -1 3 -3 -1 -1 6 -3 -1 2 0 1 1 0 -2 1 -1] [ 2 1 -1 1 -1 1 1 -3 3 2 1 -3 6 2 -2 -1 0 -1 0 1 0 1] [ 1 1 -1 1 -2 1 2 -2 1 1 0 -1 2 4 -1 2 -1 -1 -1 1 0 1] [ 0 0 -1 1 -1 -2 0 2 -1 -1 0 2 -2 -1 4 -1 0 1 2 -1 0 -1] [-1 0 1 0 -1 2 1 -2 1 -1 -1 0 -1 2 -1 6 -1 -1 -2 1 0 1] [ 1 1 -1 0 -1 -2 -1 1 -2 -2 1 1 0 -1 0 -1 4 2 1 -2 1 -1] [ 1 1 -1 0 -1 -2 -1 1 -2 -2 -1 1 -1 -1 1 -1 2 4 1 -2 1 -1] [ 1 0 -1 2 -1 -2 -1 0 0 -1 1 0 0 -1 2 -2 1 1 4 -1 0 -1] [-1 -1 1 0 1 2 1 -1 2 2 1 -2 1 1 -1 1 -2 -2 -1 4 0 1] [ 0 -1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 4 -1] [ 0 0 -1 0 1 1 1 -2 1 1 -1 -1 1 1 -1 1 -1 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 379. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 0 0 -1 2 -2 -1 -2 2 -1 1 1 1 0 0 2 -1 -1 0 -1] [ 2 4 2 1 1 0 2 -1 0 -2 2 -1 1 -1 1 1 -1 1 0 1 0 0] [ 1 2 4 -1 -1 0 1 1 0 -1 1 1 -1 -2 -1 -1 -2 2 0 2 0 0] [ 0 1 -1 4 2 -1 0 -2 1 1 1 -1 2 -1 1 1 0 -1 -1 0 -1 0] [ 0 1 -1 2 4 0 0 0 0 1 1 0 2 1 0 1 0 -1 -1 0 0 -1] [-1 0 0 -1 0 4 -1 1 0 1 -2 1 -1 0 0 1 1 -1 0 1 1 -1] [ 2 2 1 0 0 -1 4 -2 0 -3 2 -1 1 -1 1 1 0 0 0 1 1 -1] [-2 -1 1 -2 0 1 -2 6 1 1 -1 3 -2 0 -2 -1 -2 -1 2 2 1 1] [-1 0 0 1 0 0 0 1 4 -1 0 0 0 0 -1 -1 0 -1 1 1 1 0] [-2 -2 -1 1 1 1 -3 1 -1 6 -2 2 -1 0 0 0 -1 0 0 -1 0 0] [ 2 2 1 1 1 -2 2 -1 0 -2 4 -1 2 -1 0 0 -1 0 -1 1 0 0] [-1 -1 1 -1 0 1 -1 3 0 2 -1 4 -2 -1 -1 0 -1 -1 1 2 1 0] [ 1 1 -1 2 2 -1 1 -2 0 -1 2 -2 4 1 0 0 1 0 -2 -1 0 0] [ 1 -1 -2 -1 1 0 -1 0 0 0 -1 -1 1 6 0 -1 1 2 0 -4 1 -1] [ 1 1 -1 1 0 0 1 -2 -1 0 0 -1 0 0 4 2 0 -1 0 -1 0 0] [ 0 1 -1 1 1 1 1 -1 -1 0 0 0 0 -1 2 4 1 -2 0 1 0 0] [ 0 -1 -2 0 0 1 0 -2 0 -1 -1 -1 1 1 0 1 4 -1 -1 -1 0 0] [ 2 1 2 -1 -1 -1 0 -1 -1 0 0 -1 0 2 -1 -2 -1 6 0 -2 0 0] [-1 0 0 -1 -1 0 0 2 1 0 -1 1 -2 0 0 0 -1 0 4 0 1 1] [-1 1 2 0 0 1 1 2 1 -1 1 2 -1 -4 -1 1 -1 -2 0 6 1 0] [ 0 0 0 -1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 4 -1] [-1 0 0 0 -1 -1 -1 1 0 0 0 0 0 -1 0 0 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 380. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 1 0 1 2 1 1 0 2 2 2 1 2 -2 2 1 1 1] [ 1 4 0 -2 0 0 0 0 0 1 -1 1 -1 2 2 0 0 0 0 1 -1 2] [-1 0 4 2 0 -2 1 -2 -1 1 -1 0 -2 1 -1 -2 0 2 1 -1 -2 0] [-2 -2 2 6 -2 -1 2 0 -2 -2 -1 -2 0 -2 -3 -1 0 2 1 -2 -2 -2] [ 1 0 0 -2 4 0 -2 -1 2 1 2 1 -1 0 0 0 1 -2 -1 1 2 0] [ 1 0 -2 -1 0 4 -1 2 1 1 2 1 1 1 2 1 1 -1 1 1 0 1] [ 0 0 1 2 -2 -1 4 -1 0 -1 -1 -1 0 0 0 -1 0 1 2 -1 -2 0] [ 1 0 -2 0 -1 2 -1 4 -1 0 1 0 2 0 0 2 1 -1 1 0 0 0] [ 2 0 -1 -2 2 1 0 -1 4 1 2 0 1 1 1 0 1 -2 0 1 2 0] [ 1 1 1 -2 1 1 -1 0 1 4 1 2 -1 2 2 -1 0 0 1 0 0 2] [ 1 -1 -1 -1 2 2 -1 1 2 1 4 1 0 0 0 1 1 -2 0 1 1 0] [ 0 1 0 -2 1 1 -1 0 0 2 1 4 -1 0 2 -1 0 0 -1 0 0 2] [ 2 -1 -2 0 -1 1 0 2 1 -1 0 -1 6 1 1 2 2 -1 1 -1 2 -1] [ 2 2 1 -2 0 1 0 0 1 2 0 0 1 6 3 1 1 0 3 0 0 1] [ 2 2 -1 -3 0 2 0 0 1 2 0 2 1 3 6 1 0 -1 2 1 1 3] [ 1 0 -2 -1 0 1 -1 2 0 -1 1 -1 2 1 1 4 0 -2 1 1 2 0] [ 2 0 0 0 1 1 0 1 1 0 1 0 2 1 0 0 4 -1 1 0 0 0] [-2 0 2 2 -2 -1 1 -1 -2 0 -2 0 -1 0 -1 -2 -1 4 0 -1 -2 0] [ 2 0 1 1 -1 1 2 1 0 1 0 -1 1 3 2 1 1 0 6 -1 -1 1] [ 1 1 -1 -2 1 1 -1 0 1 0 1 0 -1 0 1 1 0 -1 -1 4 1 1] [ 1 -1 -2 -2 2 0 -2 0 2 0 1 0 2 0 1 2 0 -2 -1 1 6 -1] [ 1 2 0 -2 0 1 0 0 0 2 0 2 -1 1 3 0 0 0 1 1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 381. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 1 -2 -1 -1 -1 -1 -1 2 -1 0 -1 -1 1 2 1 -2 -2 -1] [ 2 4 -1 1 0 -2 -1 -2 -2 1 0 2 0 -1 -2 -2 1 2 1 -2 -2 -1] [ 0 -1 4 1 -1 1 2 -1 -1 -2 -2 0 -2 -1 0 2 -1 0 1 -1 0 -1] [ 0 1 1 4 -2 0 0 -1 -1 0 0 1 0 0 -1 -1 0 -1 0 0 1 0] [ 1 0 -1 -2 4 0 0 1 1 0 0 0 1 -1 0 -1 0 2 -1 0 -2 1] [-2 -2 1 0 0 4 2 2 1 0 1 -2 0 0 2 0 -2 -2 -1 0 2 0] [-1 -1 2 0 0 2 4 1 -1 0 -1 -1 0 0 1 0 -1 -1 1 0 1 0] [-1 -2 -1 -1 1 2 1 4 2 0 1 -2 1 1 2 0 -1 -1 -1 1 1 1] [-1 -2 -1 -1 1 1 -1 2 4 -1 1 -2 1 1 2 1 -1 -1 -1 1 1 1] [-1 1 -2 0 0 0 0 0 -1 4 2 0 1 0 0 -1 0 -1 -1 0 1 0] [-1 0 -2 0 0 1 -1 1 1 2 4 -1 1 0 0 -1 0 -2 -1 1 2 1] [ 2 2 0 1 0 -2 -1 -2 -2 0 -1 4 0 0 -2 -1 2 1 0 -1 -1 0] [-1 0 -2 0 1 0 0 1 1 1 1 0 4 1 0 -2 1 0 -1 1 1 2] [ 0 -1 -1 0 -1 0 0 1 1 0 0 0 1 4 2 -1 0 -2 0 0 2 0] [-1 -2 0 -1 0 2 1 2 2 0 0 -2 0 2 4 1 -2 -2 0 0 2 -1] [-1 -2 2 -1 -1 0 0 0 1 -1 -1 -1 -2 -1 1 6 -1 0 0 0 0 0] [ 1 1 -1 0 0 -2 -1 -1 -1 0 0 2 1 0 -2 -1 4 0 1 0 0 1] [ 2 2 0 -1 2 -2 -1 -1 -1 -1 -2 1 0 -2 -2 0 0 6 0 -1 -4 0] [ 1 1 1 0 -1 -1 1 -1 -1 -1 -1 0 -1 0 0 0 1 0 4 -1 0 -1] [-2 -2 -1 0 0 0 0 1 1 0 1 -1 1 0 0 0 0 -1 -1 6 2 2] [-2 -2 0 1 -2 2 1 1 1 1 2 -1 1 2 2 0 0 -4 0 2 6 0] [-1 -1 -1 0 1 0 0 1 1 0 1 0 2 0 -1 0 1 0 -1 2 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 382. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -2 -1 1 0 0 -1 1 -1 1 2 -1 -1 -1 1 0 0 0] [ 0 4 -1 -1 1 1 2 1 0 0 1 1 -1 1 0 -2 2 -2 0 1 0 1] [ 1 -1 4 0 -1 0 0 0 1 1 -1 1 -1 0 -1 0 0 0 2 0 1 0] [ 2 -1 0 4 -2 -2 -1 0 -1 0 0 0 0 0 1 0 -1 1 0 -1 1 0] [-2 1 -1 -2 4 2 1 -1 1 -1 1 0 0 -1 -1 0 1 -1 -1 0 0 -1] [-2 1 0 -2 2 4 2 -1 0 1 0 -1 1 -1 -2 -1 1 -1 0 1 1 -1] [-1 2 0 -1 1 2 4 1 0 0 0 1 -1 1 -1 -1 2 -2 0 0 1 1] [ 1 1 0 0 -1 -1 1 4 -1 -1 0 1 -1 1 2 -1 1 -2 -1 0 -1 2] [ 0 0 1 -1 1 0 0 -1 4 -1 -1 1 -1 -1 0 1 0 -1 0 -1 0 0] [ 0 0 1 0 -1 1 0 -1 -1 4 -1 0 1 1 -1 -1 -1 2 1 0 0 -1] [-1 1 -1 0 1 0 0 0 -1 -1 4 0 -1 0 0 -1 2 -1 -1 1 1 1] [ 1 1 1 0 0 -1 1 1 1 0 0 4 -1 2 1 0 0 0 0 0 0 1] [-1 -1 -1 0 0 1 -1 -1 -1 1 -1 -1 4 0 -1 1 -1 2 -1 1 -1 -2] [ 1 1 0 0 -1 -1 1 1 -1 1 0 2 0 4 1 0 0 0 0 0 -1 0] [ 2 0 -1 1 -1 -2 -1 2 0 -1 0 1 -1 1 4 0 -1 -1 -1 -1 -1 1] [-1 -2 0 0 0 -1 -1 -1 1 -1 -1 0 1 0 0 4 -1 2 0 -1 -1 -1] [-1 2 0 -1 1 1 2 1 0 -1 2 0 -1 0 -1 -1 4 -2 0 1 1 1] [-1 -2 0 1 -1 -1 -2 -2 -1 2 -1 0 2 0 -1 2 -2 6 1 0 0 -1] [ 1 0 2 0 -1 0 0 -1 0 1 -1 0 -1 0 -1 0 0 1 4 0 1 0] [ 0 1 0 -1 0 1 0 0 -1 0 1 0 1 0 -1 -1 1 0 0 4 1 0] [ 0 0 1 1 0 1 1 -1 0 0 1 0 -1 -1 -1 -1 1 0 1 1 4 0] [ 0 1 0 0 -1 -1 1 2 0 -1 1 1 -2 0 1 -1 1 -1 0 0 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 383. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 2 1 2 -2 -1 -1 0 0 0 1 -1 -1 0 2 -1 -1 1 0 0] [ 0 6 3 -1 2 -1 0 0 2 1 -2 0 0 1 1 1 0 3 2 3 -1 0] [-2 3 6 -2 1 -1 1 -1 2 -1 0 1 1 2 0 2 0 1 1 2 0 -1] [ 2 -1 -2 4 1 2 -2 -1 -2 1 1 -1 1 0 -1 -1 0 -1 -1 0 -1 0] [ 1 2 1 1 4 1 0 0 0 1 0 1 0 0 1 -1 0 1 -1 1 0 1] [ 2 -1 -1 2 1 4 -2 -1 -2 -1 1 -1 1 -1 0 0 0 0 -2 -1 -1 0] [-2 0 1 -2 0 -2 4 2 2 1 -1 2 -1 1 1 0 0 1 0 -1 0 1] [-1 0 -1 -1 0 -1 2 4 1 2 -2 1 -2 -1 2 0 0 2 0 -2 0 2] [-1 2 2 -2 0 -2 2 1 4 1 -2 1 0 1 0 1 0 2 1 0 0 1] [ 0 1 -1 1 1 -1 1 2 1 4 -2 1 -1 0 1 0 0 1 0 0 -1 1] [ 0 -2 0 1 0 1 -1 -2 -2 -2 4 0 1 1 -1 -1 0 -2 -1 0 0 -1] [ 0 0 1 -1 1 -1 2 1 1 1 0 4 -1 0 0 0 2 -1 0 1 0 1] [ 1 0 1 1 0 1 -1 -2 0 -1 1 -1 4 1 -1 0 1 0 -1 0 -1 -2] [-1 1 2 0 0 -1 1 -1 1 0 1 0 1 4 -1 0 0 1 1 0 -1 -1] [-1 1 0 -1 1 0 1 2 0 1 -1 0 -1 -1 4 0 -1 1 -1 -1 0 1] [ 0 1 2 -1 -1 0 0 0 1 0 -1 0 0 0 0 4 1 0 0 1 0 0] [ 2 0 0 0 0 0 0 0 0 0 0 2 1 0 -1 1 4 -1 0 1 0 0] [-1 3 1 -1 1 0 1 2 2 1 -2 -1 0 1 1 0 -1 6 1 -1 -1 1] [-1 2 1 -1 -1 -2 0 0 1 0 -1 0 -1 1 -1 0 0 1 4 1 0 0] [ 1 3 2 0 1 -1 -1 -2 0 0 0 1 0 0 -1 1 1 -1 1 6 1 -1] [ 0 -1 0 -1 0 -1 0 0 0 -1 0 0 -1 -1 0 0 0 -1 0 1 4 0] [ 0 0 -1 0 1 0 1 2 1 1 -1 1 -2 -1 1 0 0 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 384. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 -1 -1 1 1 -2 -2 2 2 -1 1 -1 1 2 -2 1 -2 1 0] [ 1 4 -1 0 -2 -2 2 2 0 0 2 2 -1 2 1 2 -1 1 0 -2 0 -1] [ 0 -1 4 1 0 1 -1 0 0 0 -2 -2 0 0 0 -1 0 1 -1 -1 -1 2] [-2 0 1 4 1 0 0 -1 2 2 0 -2 1 1 0 -1 -1 2 -2 0 -1 1] [-1 -2 0 1 4 2 0 -2 1 1 0 0 2 -2 0 -1 1 0 -1 1 0 0] [-1 -2 1 0 2 4 0 0 0 1 -1 0 1 -2 0 0 0 -1 -1 2 0 0] [ 1 2 -1 0 0 0 4 2 -1 0 1 2 -1 0 1 1 1 -1 0 0 1 -1] [ 1 2 0 -1 -2 0 2 4 -1 -1 0 2 -2 0 1 2 0 -1 0 0 0 -1] [-2 0 0 2 1 0 -1 -1 4 2 -1 0 1 0 0 0 -2 1 -2 1 -2 0] [-2 0 0 2 1 1 0 -1 2 4 -1 0 1 0 0 0 -2 2 -2 0 0 0] [ 2 2 -2 0 0 -1 1 0 -1 -1 6 2 0 2 -1 2 1 0 0 -2 0 0] [ 2 2 -2 -2 0 0 2 2 0 0 2 6 0 -1 0 3 0 -1 0 -1 1 -2] [-1 -1 0 1 2 1 -1 -2 1 1 0 0 4 0 -1 -1 0 0 0 1 0 0] [ 1 2 0 1 -2 -2 0 0 0 0 2 -1 0 6 -2 1 0 1 -1 -2 0 2] [-1 1 0 0 0 0 1 1 0 0 -1 0 -1 -2 4 0 -1 0 0 0 0 -1] [ 1 2 -1 -1 -1 0 1 2 0 0 2 3 -1 1 0 4 0 0 -1 -1 0 0] [ 2 -1 0 -1 1 0 1 0 -2 -2 1 0 0 0 -1 0 4 -2 1 0 1 1] [-2 1 1 2 0 -1 -1 -1 1 2 0 -1 0 1 0 0 -2 6 -1 -2 0 1] [ 1 0 -1 -2 -1 -1 0 0 -2 -2 0 0 0 -1 0 -1 1 -1 4 0 1 -1] [-2 -2 -1 0 1 2 0 0 1 0 -2 -1 1 -2 0 -1 0 -2 0 6 0 -1] [ 1 0 -1 -1 0 0 1 0 -2 0 0 1 0 0 0 0 1 0 1 0 4 -1] [ 0 -1 2 1 0 0 -1 -1 0 0 0 -2 0 2 -1 0 1 1 -1 -1 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = true LatDB = - 385. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 1 2 1 2 2 -1 1 1 2 -1 -2 1 1 -1 -2 1 0 1] [ 1 4 0 0 -1 2 0 0 1 0 2 0 1 -1 -1 -1 1 -2 1 2 1 1] [ 2 0 4 0 0 0 0 0 2 0 1 2 1 1 0 1 0 0 -2 1 -1 0] [-1 0 0 4 1 -2 -2 -1 -1 -1 0 0 0 2 0 0 0 0 2 0 -1 0] [ 1 -1 0 1 6 -1 -1 1 1 0 1 -2 1 -1 1 1 2 1 -2 1 1 1] [ 2 2 0 -2 -1 6 0 0 0 0 1 0 1 0 -3 -2 -1 -3 -2 1 1 -1] [ 1 0 0 -2 -1 0 4 2 0 1 0 0 -1 -2 1 1 1 0 0 0 0 1] [ 2 0 0 -1 1 0 2 4 0 -1 0 0 1 -1 -1 2 2 0 0 0 0 2] [ 2 1 2 -1 1 0 0 0 4 0 1 1 1 -1 0 1 1 0 -2 1 0 1] [-1 0 0 -1 0 0 1 -1 0 4 0 -1 -1 0 2 -1 -1 1 0 0 0 0] [ 1 2 1 0 1 1 0 0 1 0 4 -1 1 -2 1 0 1 -1 -1 2 1 1] [ 1 0 2 0 -2 0 0 0 1 -1 -1 4 1 1 -2 0 0 0 0 -1 -2 -1] [ 2 1 1 0 1 1 -1 1 1 -1 1 1 4 -1 -1 0 1 -1 0 1 0 1] [-1 -1 1 2 -1 0 -2 -1 -1 0 -2 1 -1 6 -2 0 -2 0 0 -1 -1 -1] [-2 -1 0 0 1 -3 1 -1 0 2 1 -2 -1 -2 6 0 0 1 1 1 0 1] [ 1 -1 1 0 1 -2 1 2 1 -1 0 0 0 0 0 4 2 1 -1 0 0 2] [ 1 1 0 0 2 -1 1 2 1 -1 1 0 1 -2 0 2 4 0 0 1 1 2] [-1 -2 0 0 1 -3 0 0 0 1 -1 0 -1 0 1 1 0 4 0 -1 0 0] [-2 1 -2 2 -2 -2 0 0 -2 0 -1 0 0 0 1 -1 0 0 6 -1 -1 1] [ 1 2 1 0 1 1 0 0 1 0 2 -1 1 -1 1 0 1 -1 -1 4 2 1] [ 0 1 -1 -1 1 1 0 0 0 0 1 -2 0 -1 0 0 1 0 -1 2 4 0] [ 1 1 0 0 1 -1 1 2 1 0 1 -1 1 -1 1 2 2 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 386. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -2 1 -2 -2 -1 -1 1 0 1 -1 0 -1 -1 1 -1 0 0 -2 2] [-1 4 -2 -1 1 2 1 1 0 1 0 -2 -1 0 0 0 -1 2 0 0 1 0] [ 2 -2 4 0 -1 -1 0 -1 0 1 0 1 0 0 -1 0 2 0 1 0 -2 1] [-2 -1 0 4 0 0 0 1 0 -1 1 1 1 0 0 1 1 0 0 1 0 0] [ 1 1 -1 0 4 0 -2 0 0 0 1 0 -1 -1 -1 0 0 -1 0 1 -1 1] [-2 2 -1 0 0 4 2 0 0 0 -1 -2 0 -1 1 1 -1 1 1 -1 2 -1] [-2 1 0 0 -2 2 4 0 1 0 0 -2 1 0 0 1 -1 2 1 0 1 -1] [-1 1 -1 1 0 0 0 4 0 1 1 1 0 1 -1 -1 1 1 -1 1 -1 0] [-1 0 0 0 0 0 1 0 4 0 0 0 -1 1 0 -1 -1 1 -1 0 1 0] [ 1 1 1 -1 0 0 0 1 0 4 1 -1 -1 1 0 0 0 1 -1 -1 -1 1] [ 0 0 0 1 1 -1 0 1 0 1 4 -1 1 1 -2 0 1 1 0 2 -2 0] [ 1 -2 1 1 0 -2 -2 1 0 -1 -1 6 -1 -1 0 0 1 -1 -1 1 0 1] [-1 -1 0 1 -1 0 1 0 -1 -1 1 -1 4 1 -1 1 0 0 0 1 -1 -2] [ 0 0 0 0 -1 -1 0 1 1 1 1 -1 1 4 -1 -1 0 1 -2 0 0 0] [-1 0 -1 0 -1 1 0 -1 0 0 -2 0 -1 -1 4 0 -2 -1 0 -2 2 0] [-1 0 0 1 0 1 1 -1 -1 0 0 0 1 -1 0 4 0 0 0 0 1 0] [ 1 -1 2 1 0 -1 -1 1 -1 0 1 1 0 0 -2 0 4 0 1 1 -2 1] [-1 2 0 0 -1 1 2 1 1 1 1 -1 0 1 -1 0 0 4 0 1 1 0] [ 0 0 1 0 0 1 1 -1 -1 -1 0 -1 0 -2 0 0 1 0 4 0 -1 0] [ 0 0 0 1 1 -1 0 1 0 -1 2 1 1 0 -2 0 1 1 0 4 -1 0] [-2 1 -2 0 -1 2 1 -1 1 -1 -2 0 -1 0 2 1 -2 1 -1 -1 6 -1] [ 2 0 1 0 1 -1 -1 0 0 1 0 1 -2 0 0 0 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 387. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 -1 2 1 1 -2 0 1 -1 2 0 2 -1 -2 -1 2 0 2] [ 1 4 -2 2 -2 0 0 0 0 -1 1 2 1 1 -1 0 1 0 0 2 1 2] [-1 -2 4 -2 2 1 -1 0 0 1 0 0 0 0 0 0 0 1 0 -2 0 0] [ 1 2 -2 4 -2 -1 1 0 0 -1 1 1 0 1 0 1 -1 -1 0 2 1 1] [-2 -2 2 -2 6 2 0 -2 1 0 -1 0 0 -1 2 0 0 2 2 -1 -1 -3] [-1 0 1 -1 2 4 0 -2 1 1 -1 0 -1 0 1 0 1 1 0 -1 -1 -1] [ 2 0 -1 1 0 0 4 -1 2 -2 -1 0 -1 1 0 1 -2 -2 -1 2 -1 1] [ 1 0 0 0 -2 -2 -1 4 -2 0 0 0 0 0 0 0 -1 0 -1 1 0 1] [ 1 0 0 0 1 1 2 -2 4 0 0 0 0 0 0 0 -1 0 -1 1 0 1] [-2 -1 1 -1 0 1 -2 0 0 4 0 -1 1 -2 0 -2 1 1 -1 -1 0 0] [ 0 1 0 1 -1 -1 -1 0 0 0 4 0 0 1 -2 0 1 1 1 1 1 0] [ 1 2 0 1 0 0 0 0 0 -1 0 4 0 0 0 1 0 0 0 0 0 1] [-1 1 0 0 0 -1 -1 0 0 1 0 0 4 -1 0 -2 1 1 0 1 2 2] [ 2 1 0 1 -1 0 1 0 0 -2 1 0 -1 4 -1 2 0 -1 0 1 1 1] [ 0 -1 0 0 2 1 0 0 0 0 -2 0 0 -1 4 0 -1 0 1 0 -1 -1] [ 2 0 0 1 0 0 1 0 0 -2 0 1 -2 2 0 4 0 -1 0 0 0 0] [-1 1 0 -1 0 1 -2 -1 -1 1 1 0 1 0 -1 0 4 1 1 -1 1 0] [-2 0 1 -1 2 1 -2 0 0 1 1 0 1 -1 0 -1 1 4 1 0 1 -1] [-1 0 0 0 2 0 -1 -1 -1 -1 1 0 0 0 1 0 1 1 4 -1 0 -2] [ 2 2 -2 2 -1 -1 2 1 1 -1 1 0 1 1 0 0 -1 0 -1 6 1 2] [ 0 1 0 1 -1 -1 -1 0 0 0 1 0 2 1 -1 0 1 1 0 1 4 1] [ 2 2 0 1 -3 -1 1 1 1 0 0 1 2 1 -1 0 0 -1 -2 2 1 6] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 388. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 -1 0 0 0 1 -1 0 0 2 0 1 0 -1 0 -1 2 1 0] [ 2 6 2 2 1 0 -1 -1 3 1 2 -1 2 -2 -1 0 0 2 -2 2 0 -1] [ 0 2 4 2 -1 -1 1 -2 2 0 2 -2 1 -2 -1 -1 1 2 0 1 -1 0] [ 0 2 2 4 0 -1 -1 -1 1 -1 2 0 1 -2 -1 -1 1 2 0 1 -1 1] [-1 1 -1 0 6 2 -1 2 0 1 0 -1 1 0 1 2 0 0 1 1 0 -2] [ 0 0 -1 -1 2 4 -1 2 1 -1 0 0 0 0 1 1 1 0 0 0 -1 0] [ 0 -1 1 -1 -1 -1 4 -2 -1 0 -1 -2 0 1 -1 -1 0 -1 0 0 0 0] [ 0 -1 -2 -1 2 2 -2 4 -1 0 -1 1 0 1 2 2 0 -1 0 0 0 0] [ 1 3 2 1 0 1 -1 -1 4 0 2 -1 1 -2 0 0 1 2 0 1 -1 0] [-1 1 0 -1 1 -1 0 0 0 4 -1 0 -1 0 0 0 -1 0 -1 -1 1 -2] [ 0 2 2 2 0 0 -1 -1 2 -1 4 0 1 -2 -1 -1 1 2 1 1 -1 1] [ 0 -1 -2 0 -1 0 -2 1 -1 0 0 4 -1 0 0 0 -1 0 0 -1 1 1] [ 2 2 1 1 1 0 0 0 1 -1 1 -1 4 0 1 1 -1 1 0 2 0 0] [ 0 -2 -2 -2 0 0 1 1 -2 0 -2 0 0 4 1 1 0 -1 0 0 0 0] [ 1 -1 -1 -1 1 1 -1 2 0 0 -1 0 1 1 4 2 -1 -1 1 1 1 0] [ 0 0 -1 -1 2 1 -1 2 0 0 -1 0 1 1 2 4 -1 -1 1 1 1 0] [-1 0 1 1 0 1 0 0 1 -1 1 -1 -1 0 -1 -1 4 1 0 0 -2 1] [ 0 2 2 2 0 0 -1 -1 2 0 2 0 1 -1 -1 -1 1 4 0 1 -1 0] [-1 -2 0 0 1 0 0 0 0 -1 1 0 0 0 1 1 0 0 4 0 0 1] [ 2 2 1 1 1 0 0 0 1 -1 1 -1 2 0 1 1 0 1 0 4 1 0] [ 1 0 -1 -1 0 -1 0 0 -1 1 -1 1 0 0 1 1 -2 -1 0 1 4 -1] [ 0 -1 0 1 -2 0 0 0 0 -2 1 1 0 0 0 0 1 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 2> ] Modular = false LatDB = - 389. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 1 1 1 -1 -2 -2 -1 1 0 0 0 1 -2 -1 -2 0 1] [-2 6 2 -2 -1 1 -3 -1 -1 2 1 1 -2 0 1 1 1 1 2 1 1 1] [ 0 2 4 -2 0 0 -1 1 -1 0 0 0 -1 0 2 -1 1 0 1 0 0 2] [ 0 -2 -2 4 1 1 1 -1 0 -1 0 1 2 1 -2 0 -1 0 -2 0 -1 -1] [-1 -1 0 1 4 -2 2 -1 1 1 1 -1 1 -1 1 0 -2 0 0 1 0 -1] [ 1 1 0 1 -2 4 -2 0 -2 -1 0 1 0 1 -1 1 1 -1 -1 0 -1 1] [ 1 -3 -1 1 2 -2 6 -1 2 -1 1 -2 1 0 1 -2 -2 -2 -1 1 1 -2] [ 1 -1 1 -1 -1 0 -1 4 0 -1 -1 1 0 1 1 0 2 0 1 -1 0 2] [-1 -1 -1 0 1 -2 2 0 4 0 0 0 0 1 0 -1 -2 1 1 0 0 -1] [-2 2 0 -1 1 -1 -1 -1 0 4 1 -1 0 -1 1 1 0 1 1 1 0 0] [-2 1 0 0 1 0 1 -1 0 1 4 0 -1 -1 1 0 -1 0 0 2 0 -1] [-1 1 0 1 -1 1 -2 1 0 -1 0 4 -1 2 -1 1 0 1 1 0 -1 1] [ 1 -2 -1 2 1 0 1 0 0 0 -1 -1 4 0 -1 0 0 -1 -2 -1 0 0] [ 0 0 0 1 -1 1 0 1 1 -1 -1 2 0 4 -1 0 0 0 0 0 0 1] [ 0 1 2 -2 1 -1 1 1 0 1 1 -1 -1 -1 4 -1 0 -1 2 1 0 1] [ 0 1 -1 0 0 1 -2 0 -1 1 0 1 0 0 -1 4 1 0 0 0 0 1] [ 1 1 1 -1 -2 1 -2 2 -2 0 -1 0 0 0 0 1 4 0 0 -1 1 2] [-2 1 0 0 0 -1 -2 0 1 1 0 1 -1 0 -1 0 0 4 1 0 0 0] [-1 2 1 -2 0 -1 -1 1 1 1 0 1 -2 0 2 0 0 1 4 0 0 1] [-2 1 0 0 1 0 1 -1 0 1 2 0 -1 0 1 0 -1 0 0 4 1 -1] [ 0 1 0 -1 0 -1 1 0 0 0 0 -1 0 0 0 0 1 0 0 1 4 -1] [ 1 1 2 -1 -1 1 -2 2 -1 0 -1 1 0 1 1 1 2 0 1 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 390. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -2 0 2 1 1 1 0 -2 0 -1 0 0 2 -1 1 1 0 0] [ 1 4 0 -1 0 1 2 1 0 0 1 0 -1 -1 -1 1 -1 0 0 0 1 -1] [ 2 0 4 -2 -2 1 2 0 1 0 -1 -2 -1 0 1 1 1 0 0 0 1 1] [-2 -1 -2 4 2 -1 -1 0 -1 -1 1 1 0 0 -1 0 -1 0 0 0 0 0] [-2 0 -2 2 4 -1 0 -1 -2 -1 0 1 1 1 0 0 -2 0 -1 0 -1 -1] [ 0 1 1 -1 -1 4 0 -1 -1 -1 0 0 0 1 1 0 0 1 1 -1 0 0] [ 2 2 2 -1 0 0 6 -1 0 0 1 -1 -2 -2 -1 2 0 1 1 -1 2 -1] [ 1 1 0 0 -1 -1 -1 4 2 1 1 0 0 -1 0 -1 1 -2 0 2 0 1] [ 1 0 1 -1 -2 -1 0 2 4 2 0 -1 -1 -2 -1 -1 1 -1 1 1 1 0] [ 1 0 0 -1 -1 -1 0 1 2 4 -1 0 -1 -1 -1 -2 2 -1 0 1 1 1] [ 0 1 -1 1 0 0 1 1 0 -1 4 0 0 -1 -1 0 0 1 2 -1 0 -1] [-2 0 -2 1 1 0 -1 0 -1 0 0 4 -1 1 0 0 -1 1 -1 -1 0 0] [ 0 -1 -1 0 1 0 -2 0 -1 -1 0 -1 4 1 1 -1 0 -1 0 1 -2 0] [-1 -1 0 0 1 1 -2 -1 -2 -1 -1 1 1 4 2 0 -1 1 -1 -1 -1 0] [ 0 -1 1 -1 0 1 -1 0 -1 -1 -1 0 1 2 4 0 0 -1 -1 0 -1 1] [ 0 1 1 0 0 0 2 -1 -1 -2 0 0 -1 0 0 4 -1 1 -1 -1 1 0] [ 2 -1 1 -1 -2 0 0 1 1 2 0 -1 0 -1 0 -1 4 -1 1 1 0 2] [-1 0 0 0 0 1 1 -2 -1 -1 1 1 -1 1 -1 1 -1 4 1 -2 1 -1] [ 1 0 0 0 -1 1 1 0 1 0 2 -1 0 -1 -1 -1 1 1 4 -1 0 -1] [ 1 0 0 0 0 -1 -1 2 1 1 -1 -1 1 -1 0 -1 1 -2 -1 4 0 1] [ 0 1 1 0 -1 0 2 0 1 1 0 0 -2 -1 -1 1 0 1 0 0 4 0] [ 0 -1 1 0 -1 0 -1 1 0 1 -1 0 0 0 1 0 2 -1 -1 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 391. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 -2 1 0 2 -1 -1 -1 0 0 -2 1 0 0 0 -2 -2 -1 1] [ 2 6 2 2 0 3 1 1 -1 -3 -3 -1 -2 0 0 -1 -1 -2 -2 0 0 3] [ 0 2 4 0 1 1 -1 0 1 -2 -2 0 -2 1 1 -2 0 0 -1 1 -1 0] [ 0 2 0 4 0 0 0 -1 1 0 0 -1 -1 0 0 0 1 0 1 0 0 1] [-2 0 1 0 4 -1 0 -1 0 0 1 1 0 2 -1 -1 0 1 1 2 1 0] [ 1 3 1 0 -1 4 0 1 0 -1 -3 -1 -1 0 0 -1 -1 -2 -1 0 0 1] [ 0 1 -1 0 0 0 4 1 -2 0 0 -1 0 0 0 2 -2 -2 0 0 0 1] [ 2 1 0 -1 -1 1 1 4 -2 -1 0 0 0 0 0 1 0 -1 -1 0 0 1] [-1 -1 1 1 0 0 -2 -2 4 1 0 0 0 0 0 -2 1 1 1 0 0 -2] [-1 -3 -2 0 0 -1 0 -1 1 4 2 0 1 0 0 1 1 1 2 0 0 -2] [-1 -3 -2 0 1 -3 0 0 0 2 6 2 2 1 -2 1 2 2 1 1 2 -1] [ 0 -1 0 -1 1 -1 -1 0 0 0 2 4 0 0 0 -1 2 2 0 0 0 0] [ 0 -2 -2 -1 0 -1 0 0 0 1 2 0 4 -1 -1 0 0 1 1 -1 1 -1] [-2 0 1 0 2 0 0 0 0 0 1 0 -1 4 -2 0 0 0 0 2 1 0] [ 1 0 1 0 -1 0 0 0 0 0 -2 0 -1 -2 4 0 0 0 0 -1 -2 0] [ 0 -1 -2 0 -1 -1 2 1 -2 1 1 -1 0 0 0 4 0 -1 0 0 0 1] [ 0 -1 0 1 0 -1 -2 0 1 1 2 2 0 0 0 0 4 2 1 0 0 0] [ 0 -2 0 0 1 -2 -2 -1 1 1 2 2 1 0 0 -1 2 4 1 0 0 -1] [-2 -2 -1 1 1 -1 0 -1 1 2 1 0 1 0 0 0 1 1 4 0 0 -1] [-2 0 1 0 2 0 0 0 0 0 1 0 -1 2 -1 0 0 0 0 4 2 0] [-1 0 -1 0 1 0 0 0 0 0 2 0 1 1 -2 0 0 0 0 2 4 0] [ 1 3 0 1 0 1 1 1 -2 -2 -1 0 -1 0 0 1 0 -1 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 392. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 1 -1 -1 2 -1 -1 -1 -1 1 2 0 0 -1 0 -2 0 1 -2] [ 0 4 -2 1 0 1 -2 0 -1 -2 -2 -2 0 1 1 -2 0 -2 0 -2 0 -2] [ 1 -2 4 -2 1 -1 1 0 -1 1 0 1 0 -1 0 1 0 1 -1 1 0 1] [-2 1 -2 4 0 2 -1 -1 0 -1 0 1 0 -1 1 -1 0 0 2 -1 0 0] [ 1 0 1 0 4 1 -2 1 -1 1 -1 0 -1 1 -1 0 -1 -1 -1 0 1 -2] [-1 1 -1 2 1 6 1 -1 -2 -1 -2 2 -2 2 -1 1 -2 -2 0 1 2 -1] [-1 -2 1 -1 -2 1 6 0 0 0 2 3 -1 1 -2 2 0 1 0 2 0 3] [ 2 0 0 -1 1 -1 0 4 1 -1 0 -1 0 1 -1 0 -1 0 -2 0 1 0] [-1 -1 -1 0 -1 -2 0 1 4 1 1 0 0 -1 0 0 1 1 1 0 -1 1] [-1 -2 1 -1 1 -1 0 -1 1 4 1 1 -1 -1 -1 1 1 0 0 1 -1 0] [-1 -2 0 0 -1 -2 2 0 1 1 4 1 1 -1 -1 0 1 2 1 0 -1 2] [-1 -2 1 1 0 2 3 -1 0 1 1 6 0 1 -1 2 -1 0 1 2 1 0] [ 1 0 0 0 -1 -2 -1 0 0 -1 1 0 4 0 2 -1 0 1 0 -1 0 -1] [ 2 1 -1 -1 1 2 1 1 -1 -1 -1 1 0 6 -2 0 -1 -1 -1 0 1 -3] [ 0 1 0 1 -1 -1 -2 -1 0 -1 -1 -1 2 -2 4 -1 0 0 1 -1 0 0] [ 0 -2 1 -1 0 1 2 0 0 1 0 2 -1 0 -1 4 -2 0 -1 2 1 1] [-1 0 0 0 -1 -2 0 -1 1 1 1 -1 0 -1 0 -2 4 1 1 -1 -2 1] [ 0 -2 1 0 -1 -2 1 0 1 0 2 0 1 -1 0 0 1 4 1 0 -1 2] [-2 0 -1 2 -1 0 0 -2 1 0 1 1 0 -1 1 -1 1 1 4 -1 -1 1] [ 0 -2 1 -1 0 1 2 0 0 1 0 2 -1 0 -1 2 -1 0 -1 4 2 1] [ 1 0 0 0 1 2 0 1 -1 -1 -1 1 0 1 0 1 -2 -1 -1 2 4 -1] [-2 -2 1 0 -2 -1 3 0 1 0 2 0 -1 -3 0 1 1 2 1 1 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 393. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 -1 1 -1 0 -1 2 -1 0 1 -1 -1 1 1 0 1 0 -1 -1] [ 0 4 -2 1 -1 0 1 0 2 0 0 -2 -1 -1 -1 1 0 0 1 0 1 0] [ 1 -2 4 -1 -1 1 -1 -1 -2 1 -1 2 2 1 0 1 1 1 -1 -1 -2 -1] [-1 1 -1 4 1 1 0 -1 0 1 0 0 -1 -1 1 1 1 0 1 0 1 1] [-1 -1 -1 1 4 -1 1 1 -1 -1 1 0 0 -1 1 0 -1 0 -1 0 0 0] [ 1 0 1 1 -1 4 -1 -2 0 1 -2 1 0 -1 -1 1 0 -1 0 1 0 -1] [-1 1 -1 0 1 -1 4 0 1 -1 0 -1 1 0 0 0 -2 1 0 -1 -1 0] [ 0 0 -1 -1 1 -2 0 4 1 -1 0 -1 -1 -1 1 -1 -1 0 -1 0 1 1] [-1 2 -2 0 -1 0 1 1 4 -1 0 -1 -1 -1 -1 0 -1 0 0 0 1 0] [ 2 0 1 1 -1 1 -1 -1 -1 4 -1 1 1 -1 -1 2 1 1 2 -1 -1 -1] [-1 0 -1 0 1 -2 0 0 0 -1 4 -1 0 1 0 -1 1 1 1 -1 0 0] [ 0 -2 2 0 0 1 -1 -1 -1 1 -1 4 0 1 0 1 0 1 -1 -1 -1 -1] [ 1 -1 2 -1 0 0 1 -1 -1 1 0 0 4 0 -1 1 0 1 0 -1 -2 -1] [-1 -1 1 -1 -1 -1 0 -1 -1 -1 1 1 0 4 1 -1 0 1 0 -1 0 0] [-1 -1 0 1 1 -1 0 1 -1 -1 0 0 -1 1 4 -1 0 -1 -1 0 1 2] [ 1 1 1 1 0 1 0 -1 0 2 -1 1 1 -1 -1 4 1 1 0 -1 -1 -1] [ 1 0 1 1 -1 0 -2 -1 -1 1 1 0 0 0 0 1 4 0 1 0 0 1] [ 0 0 1 0 0 -1 1 0 0 1 1 1 1 1 -1 1 0 4 1 -2 -1 -1] [ 1 1 -1 1 -1 0 0 -1 0 2 1 -1 0 0 -1 0 1 1 4 -1 0 0] [ 0 0 -1 0 0 1 -1 0 0 -1 -1 -1 -1 -1 0 -1 0 -2 -1 4 2 1] [-1 1 -2 1 0 0 -1 1 1 -1 0 -1 -2 0 1 -1 0 -1 0 2 4 1] [-1 0 -1 1 0 -1 0 1 0 -1 0 -1 -1 0 2 -1 1 -1 0 1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 394. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -2 1 -1 0 1 -2 1 1 0 2 0 0 -1 1 1 0 2] [ 1 4 -1 0 0 0 -1 1 -1 2 -1 -1 0 -1 2 -1 1 -2 1 2 1 0] [-1 -1 4 -1 1 1 0 0 -1 0 0 0 -2 2 -2 -1 -2 0 -1 0 1 -1] [-1 0 -1 4 -2 -1 0 -1 -1 0 0 -1 0 -1 0 1 1 0 0 0 -1 1] [ 1 0 1 -2 4 1 -1 1 1 0 0 0 0 1 1 0 -2 0 -1 0 0 -1] [-2 0 1 -1 1 4 -2 1 0 0 2 0 -1 0 -1 -1 -1 0 0 0 0 -2] [ 1 -1 0 0 -1 -2 4 -1 1 -1 0 0 1 1 0 1 0 1 -1 -1 0 1] [-1 1 0 -1 1 1 -1 4 0 -1 1 -1 0 0 0 -1 1 1 0 -1 0 -1] [ 0 -1 -1 -1 1 0 1 0 4 -1 0 0 2 1 1 2 0 1 -1 -1 -1 0] [ 1 2 0 0 0 0 -1 -1 -1 4 -1 1 -1 0 1 -1 0 -2 1 2 0 0] [-2 -1 0 0 0 2 0 1 0 -1 4 0 -1 -1 -1 -1 -1 1 0 -1 -1 -1] [ 1 -1 0 -1 0 0 0 -1 0 1 0 4 0 1 0 0 -1 1 0 -1 0 1] [ 1 0 -2 0 0 -1 1 0 2 -1 -1 0 4 0 1 2 1 0 -1 -1 0 1] [ 0 -1 2 -1 1 0 1 0 1 0 -1 1 0 4 -1 1 -1 1 -2 -1 1 0] [ 2 2 -2 0 1 -1 0 0 1 1 -1 0 1 -1 4 0 0 -1 1 1 -1 1] [ 0 -1 -1 1 0 -1 1 -1 2 -1 -1 0 2 1 0 4 1 1 -2 -1 0 1] [ 0 1 -2 1 -2 -1 0 1 0 0 -1 -1 1 -1 0 1 4 0 1 0 0 1] [-1 -2 0 0 0 0 1 1 1 -2 1 1 0 1 -1 1 0 4 -1 -2 0 0] [ 1 1 -1 0 -1 0 -1 0 -1 1 0 0 -1 -2 1 -2 1 -1 4 1 -1 1] [ 1 2 0 0 0 0 -1 -1 -1 2 -1 -1 -1 -1 1 -1 0 -2 1 4 1 0] [ 0 1 1 -1 0 0 0 0 -1 0 -1 0 0 1 -1 0 0 0 -1 1 4 -1] [ 2 0 -1 1 -1 -2 1 -1 0 0 -1 1 1 0 1 1 1 0 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 395. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 -1 1 1 2 1 2 2 1 1 1 -1 0 1 -2 0 -2 -1 -2] [ 1 4 2 -2 -2 1 0 1 1 -1 2 0 -1 0 -1 1 2 1 1 0 1 -1] [ 1 2 4 0 -2 0 1 0 0 1 2 0 1 -1 0 1 1 0 1 -1 -1 0] [-1 -2 0 4 0 0 1 -2 -1 0 0 0 1 -1 1 1 -2 0 -1 -1 -1 1] [-1 -2 -2 0 4 -1 -1 0 -1 1 -1 1 0 1 1 -2 -1 1 -1 2 0 1] [ 1 1 0 0 -1 4 -1 0 0 1 0 0 1 -1 0 2 -1 1 -1 -2 -1 -2] [ 1 0 1 1 -1 -1 4 1 1 -1 0 1 0 0 1 1 0 -2 1 0 0 1] [ 2 1 0 -2 0 0 1 4 2 0 0 1 -1 2 0 0 1 -1 1 0 1 -1] [ 1 1 0 -1 -1 0 1 2 4 -1 -1 -1 -1 1 1 1 2 -2 2 1 1 -1] [ 2 -1 1 0 1 1 -1 0 -1 6 2 0 3 1 0 -1 -1 -1 -2 -1 -3 -1] [ 2 2 2 0 -1 0 0 0 -1 2 6 0 1 1 -2 -1 1 1 0 -2 -1 -1] [ 1 0 0 0 1 0 1 1 -1 0 0 4 -1 1 0 0 -1 1 -1 -1 0 0] [ 1 -1 1 1 0 1 0 -1 -1 3 1 -1 4 -1 0 0 -1 -1 -1 -1 -2 0] [ 1 0 -1 -1 1 -1 0 2 1 1 1 1 -1 4 0 -1 0 0 0 0 1 -1] [-1 -1 0 1 1 0 1 0 1 0 -2 0 0 0 4 1 -1 -1 0 1 0 1] [ 0 1 1 1 -2 2 1 0 1 -1 -1 0 0 -1 1 4 0 0 0 -1 0 0] [ 1 2 1 -2 -1 -1 0 1 2 -1 1 -1 -1 0 -1 0 4 -1 2 1 1 0] [-2 1 0 0 1 1 -2 -1 -2 -1 1 1 -1 0 -1 0 -1 6 0 0 1 0] [ 0 1 1 -1 -1 -1 1 1 2 -2 0 -1 -1 0 0 0 2 0 4 0 1 0] [-2 0 -1 -1 2 -2 0 0 1 -1 -2 -1 -1 0 1 -1 1 0 0 6 2 2] [-1 1 -1 -1 0 -1 0 1 1 -3 -1 0 -2 1 0 0 1 1 1 2 4 0] [-2 -1 0 1 1 -2 1 -1 -1 -1 -1 0 0 -1 1 0 0 0 0 2 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 396. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 1 -1 -1 1 1 1 -2 1 1 1 1 -1 0 1 1 -1 0] [ 1 4 0 1 0 0 -1 0 2 0 1 0 2 0 0 1 -2 1 2 0 0 0] [-1 0 4 -2 0 0 -1 -1 0 1 -2 0 -1 0 0 1 2 -1 1 0 0 1] [ 2 1 -2 4 0 1 0 1 0 1 1 -1 1 0 0 1 -1 0 1 0 0 0] [-1 0 0 0 4 -2 0 1 0 1 0 1 -1 -2 1 -1 0 -1 -1 -2 -1 1] [ 1 0 0 1 -2 4 1 -1 -1 0 1 -1 1 2 -1 0 1 -1 1 2 1 -1] [-1 -1 -1 0 0 1 4 0 -2 -2 1 0 0 0 0 -1 1 1 0 0 0 -2] [-1 0 -1 1 1 -1 0 4 1 0 1 0 0 -2 1 0 0 0 -1 -2 -1 -1] [ 1 2 0 0 0 -1 -2 1 4 1 1 -1 1 0 0 0 -1 0 0 0 0 0] [ 1 0 1 1 1 0 -2 0 1 4 -1 -1 -1 0 0 0 1 -1 0 0 0 1] [ 1 1 -2 1 0 1 1 1 1 -1 4 -1 2 0 0 0 -1 0 0 0 0 -2] [-2 0 0 -1 1 -1 0 0 -1 -1 -1 4 -1 -1 -1 0 -1 0 -1 -1 1 1] [ 1 2 -1 1 -1 1 0 0 1 -1 2 -1 4 0 0 0 -1 1 2 0 0 -1] [ 1 0 0 0 -2 2 0 -2 0 0 0 -1 0 4 -2 0 0 0 0 2 1 0] [ 1 0 0 0 1 -1 0 1 0 0 0 -1 0 -2 4 0 0 0 0 -1 -2 0] [ 1 1 1 1 -1 0 -1 0 0 0 0 0 0 0 0 4 0 0 1 0 0 1] [-1 -2 2 -1 0 1 1 0 -1 1 -1 -1 -1 0 0 0 4 -1 0 0 0 0] [ 0 1 -1 0 -1 -1 1 0 0 -1 0 0 1 0 0 0 -1 4 1 0 0 -1] [ 1 2 1 1 -1 1 0 -1 0 0 0 -1 2 0 0 1 0 1 4 0 0 0] [ 1 0 0 0 -2 2 0 -2 0 0 0 -1 0 2 -1 0 0 0 0 4 2 0] [-1 0 0 0 -1 1 0 -1 0 0 0 1 0 1 -2 0 0 0 0 2 4 0] [ 0 0 1 0 1 -1 -2 -1 0 1 -2 1 -1 0 0 1 0 -1 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 397. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -1 1 1 2 1 0 -1 -1 -1 -2 -1 -2 1 -1 1 0 -1 0 -1] [-1 4 -1 2 -2 0 -2 -2 1 0 2 -1 1 -1 1 -1 2 -2 -1 2 1 1] [ 1 -1 4 -1 1 1 1 2 0 -1 -1 -1 1 -1 1 -1 0 1 1 -1 1 1] [-1 2 -1 4 0 -1 -1 -2 1 -1 0 0 2 0 2 -1 0 0 -1 0 1 1] [ 1 -2 1 0 4 -1 1 1 -1 -1 -2 1 -1 1 1 1 -2 2 0 -2 -1 1] [ 1 0 1 -1 -1 4 0 0 1 0 1 -2 1 -2 -2 1 1 -1 -1 1 1 -1] [ 2 -2 1 -1 1 0 4 2 -1 -1 -1 0 0 0 -2 0 -2 1 1 -1 -1 -1] [ 1 -2 2 -2 1 0 2 4 0 0 -1 1 0 1 -1 -1 -1 1 2 -1 -1 -1] [ 0 1 0 1 -1 1 -1 0 4 -1 0 0 1 0 0 -1 2 0 0 0 0 0] [-1 0 -1 -1 -1 0 -1 0 -1 4 0 0 0 0 -1 0 1 0 1 0 0 -1] [-1 2 -1 0 -2 1 -1 -1 0 0 4 -1 1 0 0 0 1 -2 -1 2 0 0] [-1 -1 -1 0 1 -2 0 1 0 0 -1 4 -1 2 0 0 -1 0 0 -1 -1 0] [-2 1 1 2 -1 1 0 0 1 0 1 -1 6 -1 2 -2 1 -1 1 1 1 1] [-1 -1 -1 0 1 -2 0 1 0 0 0 2 -1 4 0 0 -1 1 0 -1 -1 0] [-2 1 1 2 1 -2 -2 -1 0 -1 0 0 2 0 6 -2 0 0 1 0 0 3] [ 1 -1 -1 -1 1 1 0 -1 -1 0 0 0 -2 0 -2 4 0 0 -2 0 0 0] [-1 2 0 0 -2 1 -2 -1 2 1 1 -1 1 -1 0 0 4 -1 0 1 1 1] [ 1 -2 1 0 2 -1 1 1 0 0 -2 0 -1 1 0 0 -1 4 1 -2 0 0] [ 0 -1 1 -1 0 -1 1 2 0 1 -1 0 1 0 1 -2 0 1 4 -1 -1 0] [-1 2 -1 0 -2 1 -1 -1 0 0 2 -1 1 -1 0 0 1 -2 -1 4 1 0] [ 0 1 1 1 -1 1 -1 -1 0 0 0 -1 1 -1 0 0 1 0 -1 1 4 0] [-1 1 1 1 1 -1 -1 -1 0 -1 0 0 1 0 3 0 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 398. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 -2 1 1 -1 -1 -1 0 1 0 1 -2 0 1 -1 0 1 -1 2] [-1 4 1 -1 0 -2 -1 1 -1 0 0 -1 1 -1 2 0 -2 1 -1 0 1 -2] [ 2 1 4 0 -2 1 0 -1 0 -1 -1 -1 1 0 -1 -1 -1 -1 -1 1 0 0] [-1 -1 0 4 1 1 -1 1 1 1 1 -1 0 -1 1 0 -1 0 -1 -1 1 -1] [-2 0 -2 1 4 0 -1 1 1 0 0 1 0 0 2 0 0 0 -1 0 0 0] [ 1 -2 1 1 0 4 1 0 2 0 -1 1 1 0 -1 0 0 -2 -1 1 -1 1] [ 1 -1 0 -1 -1 1 4 0 -1 1 1 0 1 -1 -2 0 1 0 0 0 0 1] [-1 1 -1 1 1 0 0 4 0 2 1 0 1 -2 1 0 -1 1 -1 -1 1 -1] [-1 -1 0 1 1 2 -1 0 4 -1 -2 0 0 0 1 -1 -1 -1 -1 0 0 0] [-1 0 -1 1 0 0 1 2 -1 4 2 -1 1 -1 -1 0 0 0 1 0 1 -1] [ 0 0 -1 1 0 -1 1 1 -2 2 4 0 0 -1 0 0 0 1 0 -1 1 -1] [ 1 -1 -1 -1 1 1 0 0 0 -1 0 4 -1 1 0 0 1 0 0 0 -2 1] [ 0 1 1 0 0 1 1 1 0 1 0 -1 4 -2 1 1 0 0 -1 0 1 0] [ 1 -1 0 -1 0 0 -1 -2 0 -1 -1 1 -2 4 -2 -1 1 -2 1 2 -2 1] [-2 2 -1 1 2 -1 -2 1 1 -1 0 0 1 -2 6 2 -2 1 -1 -1 2 -1] [ 0 0 -1 0 0 0 0 0 -1 0 0 0 1 -1 2 4 0 0 1 0 1 1] [ 1 -2 -1 -1 0 0 1 -1 -1 0 0 1 0 1 -2 0 4 0 1 0 -1 2] [-1 1 -1 0 0 -2 0 1 -1 0 1 0 0 -2 1 0 0 4 0 -2 1 -1] [ 0 -1 -1 -1 -1 -1 0 -1 -1 1 0 0 -1 1 -1 1 1 0 4 0 0 1] [ 1 0 1 -1 0 1 0 -1 0 0 -1 0 0 2 -1 0 0 -2 0 4 0 1] [-1 1 0 1 0 -1 0 1 0 1 1 -2 1 -2 2 1 -1 1 0 0 4 -1] [ 2 -2 0 -1 0 1 1 -1 0 -1 -1 1 0 1 -1 1 2 -1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 399. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 1 -1 1 0 0 1 1 1 -2 -2 2 -1 1 1 -1 -1 -1 0] [ 1 4 -2 -1 2 0 -1 1 1 0 0 0 0 0 1 -2 -1 0 0 0 1 -1] [-2 -2 6 -1 0 0 -1 -2 -2 0 -2 -2 1 1 -2 2 2 -2 2 2 -1 1] [-1 -1 -1 4 0 -1 0 1 1 1 1 1 1 1 0 0 0 1 -1 -1 0 -1] [ 1 2 0 0 4 0 -1 0 1 0 0 -1 0 0 0 -1 1 0 -1 0 1 -1] [-1 0 0 -1 0 4 -1 -1 -1 -2 1 -1 1 1 -2 0 -1 1 -1 -1 2 -1] [ 1 -1 -1 0 -1 -1 4 -1 -1 0 0 1 0 0 2 1 1 0 0 0 0 2] [ 0 1 -2 1 0 -1 -1 4 1 0 0 1 0 0 1 0 -1 0 0 0 -1 0] [ 0 1 -2 1 1 -1 -1 1 4 1 0 0 -1 -1 0 -2 -1 0 -1 0 1 -1] [ 1 0 0 1 0 -2 0 0 1 4 -1 1 -1 0 1 -1 0 1 0 -1 -2 0] [ 1 0 -2 1 0 1 0 0 0 -1 4 1 0 -1 0 -1 -1 2 -1 -2 0 -1] [ 1 0 -2 1 -1 -1 1 1 0 1 1 4 -1 -1 1 0 -1 1 -1 -1 0 1] [-2 0 1 1 0 1 0 0 -1 -1 0 -1 4 2 -1 1 0 -1 0 0 1 0] [-2 0 1 1 0 1 0 0 -1 0 -1 -1 2 4 -1 1 0 0 0 0 1 0] [ 2 1 -2 0 0 -2 2 1 0 1 0 1 -1 -1 4 -1 0 0 1 0 -2 1] [-1 -2 2 0 -1 0 1 0 -2 -1 -1 0 1 1 -1 4 2 -1 0 1 0 2] [ 1 -1 2 0 1 -1 1 -1 -1 0 -1 -1 0 0 0 2 4 -1 0 1 0 1] [ 1 0 -2 1 0 1 0 0 0 1 2 1 -1 0 0 -1 -1 4 -1 -2 0 -1] [-1 0 2 -1 -1 -1 0 0 -1 0 -1 -1 0 0 1 0 0 -1 4 1 -2 1] [-1 0 2 -1 0 -1 0 0 0 -1 -2 -1 0 0 0 1 1 -2 1 4 1 1] [-1 1 -1 0 1 2 0 -1 1 -2 0 0 1 1 -2 0 0 0 -2 1 6 -1] [ 0 -1 1 -1 -1 -1 2 0 -1 0 -1 1 0 0 1 2 1 -1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 400. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 1 -1 -2 -1 1 2 -2 0 -2 0 2 2 -2 -2 0 2 1 1] [ 2 4 0 -1 2 -1 -1 -1 0 0 0 -1 0 -1 0 1 -1 0 -1 0 0 1] [ 2 0 4 0 -1 -1 -2 -1 0 2 0 1 -2 1 2 0 0 -2 0 2 0 1] [ 1 -1 0 4 -1 -1 0 0 2 1 -2 -1 -1 -1 1 0 0 -1 0 1 1 1] [ 1 2 -1 -1 4 -1 1 -1 0 0 0 0 0 0 0 1 -1 0 1 0 1 -1] [-1 -1 -1 -1 -1 4 -1 0 -1 -1 -1 0 0 0 0 1 0 1 -1 -1 0 0] [-2 -1 -2 0 1 -1 6 1 0 0 0 -1 2 -1 -2 0 1 0 1 0 -1 0] [-1 -1 -1 0 -1 0 1 4 1 0 1 0 1 0 -1 0 -1 0 0 0 0 -1] [ 1 0 0 2 0 -1 0 1 4 0 -1 -1 0 -1 0 0 0 0 1 0 1 0] [ 2 0 2 1 0 -1 0 0 0 4 -1 0 -1 1 2 1 -1 -2 0 2 0 1] [-2 0 0 -2 0 -1 0 1 -1 -1 6 2 1 2 -1 -2 2 1 0 -1 -2 -1] [ 0 -1 1 -1 0 0 -1 0 -1 0 2 4 -1 2 0 0 0 -1 0 0 0 -1] [-2 0 -2 -1 0 0 2 1 0 -1 1 -1 4 -1 -1 -1 1 1 1 -1 -1 0] [ 0 -1 1 -1 0 0 -1 0 -1 1 2 2 -1 4 0 0 0 0 0 0 0 -1] [ 2 0 2 1 0 0 -2 -1 0 2 -1 0 -1 0 4 0 -1 -2 1 2 0 1] [ 2 1 0 0 1 1 0 0 0 1 -2 0 -1 0 0 4 -1 -1 -1 1 1 1] [-2 -1 0 0 -1 0 1 -1 0 -1 2 0 1 0 -1 -1 4 1 0 -1 -1 1] [-2 0 -2 -1 0 1 0 0 0 -2 1 -1 1 0 -2 -1 1 4 0 -2 0 -1] [ 0 -1 0 0 1 -1 1 0 1 0 0 0 1 0 1 -1 0 0 4 0 0 -1] [ 2 0 2 1 0 -1 0 0 0 2 -1 0 -1 0 2 1 -1 -2 0 4 1 1] [ 1 0 0 1 1 0 -1 0 1 0 -2 0 -1 0 0 1 -1 0 0 1 4 -1] [ 1 1 1 1 -1 0 0 -1 0 1 -1 -1 0 -1 1 1 1 -1 -1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 401. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -1 0 1 -1 1 0 -1 1 -2 1 -2 -1 -1 1 0 -1 0 1] [-2 4 1 -1 -1 0 1 1 1 0 1 -1 0 -1 2 0 2 -1 0 1 1 0] [ 0 1 4 1 -2 0 2 2 0 0 0 0 -2 1 2 1 2 0 0 0 0 1] [ 1 -1 1 4 -1 -1 0 1 1 -1 0 2 -2 2 1 0 1 0 -1 0 -1 2] [-1 -1 -2 -1 6 2 -1 0 -1 2 -2 1 0 0 1 2 -2 2 2 -2 0 -2] [ 0 0 0 -1 2 4 -1 1 1 2 -1 0 -1 0 1 1 -2 1 0 -1 -1 0] [ 1 1 2 0 -1 -1 4 1 0 0 0 0 -1 0 0 1 2 0 1 0 1 0] [-1 1 2 1 0 1 1 4 1 0 0 0 -2 1 3 2 1 0 -1 0 0 1] [ 1 1 0 1 -1 1 0 1 4 0 0 0 -2 1 1 0 0 0 -1 0 -1 2] [ 0 0 0 -1 2 2 0 0 0 4 0 1 0 -1 1 1 -1 2 1 -2 -1 -1] [-1 1 0 0 -2 -1 0 0 0 0 4 -1 2 -2 0 -1 1 -2 -1 2 0 1] [ 1 -1 0 2 1 0 0 0 0 1 -1 4 -1 1 1 0 0 2 1 -1 -1 0] [-2 0 -2 -2 0 -1 -1 -2 -2 0 2 -1 6 -3 -1 -1 0 -2 1 2 0 -1] [ 1 -1 1 2 0 0 0 1 1 -1 -2 1 -3 4 0 1 0 1 -1 -1 0 1] [-2 2 2 1 1 1 0 3 1 1 0 1 -1 0 6 1 1 0 1 0 -1 1] [-1 0 1 0 2 1 1 2 0 1 -1 0 -1 1 1 4 1 1 0 -1 0 0] [-1 2 2 1 -2 -2 2 1 0 -1 1 0 0 0 1 1 4 -1 0 1 1 1] [ 1 -1 0 0 2 1 0 0 0 2 -2 2 -2 1 0 1 -1 4 1 -2 0 -1] [ 0 0 0 -1 2 0 1 -1 -1 1 -1 1 1 -1 1 0 0 1 4 -1 0 -1] [-1 1 0 0 -2 -1 0 0 0 -2 2 -1 2 -1 0 -1 1 -2 -1 4 1 1] [ 0 1 0 -1 0 -1 1 0 -1 -1 0 -1 0 0 -1 0 1 0 0 1 4 -1] [ 1 0 1 2 -2 0 0 1 2 -1 1 0 -1 1 1 0 1 -1 -1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 402. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 0 0 2 -2 1 1 0 0 1 -1 1 1 -1 -1 0 -2 -1 1 0] [ 1 4 -2 1 0 1 0 1 -1 0 -1 1 0 -1 0 -1 0 -1 -1 -1 0 0] [-2 -2 6 1 1 0 0 0 0 0 1 0 -1 -2 1 3 1 2 1 3 -1 -2] [ 0 1 1 4 -1 1 1 2 -1 -1 -1 2 0 -1 -1 -1 1 -1 0 -1 -1 -2] [ 0 0 1 -1 4 0 0 -2 -1 -1 2 -2 -1 0 1 1 -1 2 0 1 1 1] [ 2 1 0 1 0 4 -2 1 -1 -1 -1 1 -1 -1 0 -1 0 0 -2 -1 0 0] [-2 0 0 1 0 -2 4 -1 -1 0 1 0 0 0 -1 -1 0 0 2 -1 0 0] [ 1 1 0 2 -2 1 -1 4 1 0 -2 2 1 0 -1 -1 0 -1 0 -1 0 -2] [ 1 -1 0 -1 -1 -1 -1 1 4 2 0 0 0 1 1 1 -1 0 0 1 1 -1] [ 0 0 0 -1 -1 -1 0 0 2 4 -1 -1 -1 1 0 2 0 -1 -1 2 0 0] [ 0 -1 1 -1 2 -1 1 -2 0 -1 4 -1 -1 0 2 1 -1 2 1 1 1 0] [ 1 1 0 2 -2 1 0 2 0 -1 -1 4 0 -1 0 -1 1 0 0 -1 -1 -2] [-1 0 -1 0 -1 -1 0 1 0 -1 -1 0 4 1 -1 -1 1 -1 1 -1 -1 0] [ 1 -1 -2 -1 0 -1 0 0 1 1 0 -1 1 4 -1 0 0 -1 0 0 0 1] [ 1 0 1 -1 1 0 -1 -1 1 0 2 0 -1 -1 4 1 0 2 0 1 0 0] [-1 -1 3 -1 1 -1 -1 -1 1 2 1 -1 -1 0 1 6 0 1 -1 4 -1 -1] [-1 0 1 1 -1 0 0 0 -1 0 -1 1 1 0 0 0 4 -1 0 1 -2 0] [ 0 -1 2 -1 2 0 0 -1 0 -1 2 0 -1 -1 2 1 -1 4 1 1 1 0] [-2 -1 1 0 0 -2 2 0 0 -1 1 0 1 0 0 -1 0 1 4 -1 0 0] [-1 -1 3 -1 1 -1 -1 -1 1 2 1 -1 -1 0 1 4 1 1 -1 6 0 -1] [ 1 0 -1 -1 1 0 0 0 1 0 1 -1 -1 0 0 -1 -2 1 0 0 4 0] [ 0 0 -2 -2 1 0 0 -2 -1 0 0 -2 0 1 0 -1 0 0 0 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 403. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 0 2 -1 0 0 -2 -1 1 2 -2 0 0 -2 1 2 -1 -2 -2 -1] [-1 4 0 -1 0 -1 0 1 1 0 1 0 1 1 0 -1 -1 -1 2 1 0 1] [-2 0 4 -1 -2 1 1 0 2 1 -1 -2 2 1 -1 1 0 -2 1 2 0 1] [ 0 -1 -1 4 0 -1 -1 1 -1 -1 1 0 -2 -1 2 0 1 -1 -2 1 2 1] [ 2 0 -2 0 4 0 -1 1 -2 0 0 1 0 0 1 -2 1 2 -1 -2 -2 -1] [-1 -1 1 -1 0 4 -1 0 1 2 -2 0 0 1 -1 0 1 -1 -1 1 1 0] [ 0 0 1 -1 -1 -1 4 -2 1 0 0 -1 2 1 0 0 -2 -1 2 1 -2 0] [ 0 1 0 1 1 0 -2 4 -1 -1 0 0 -1 -1 0 -1 1 -1 -1 1 1 1] [-2 1 2 -1 -2 1 1 -1 4 1 0 -1 2 1 0 1 0 -2 1 2 0 1] [-1 0 1 -1 0 2 0 -1 1 4 0 -1 1 1 -1 0 1 0 0 0 0 1] [ 1 1 -1 1 0 -2 0 0 0 0 4 0 0 -1 1 0 1 0 0 0 -1 0] [ 2 0 -2 0 1 0 -1 0 -1 -1 0 4 -3 1 0 -1 0 2 -1 -2 0 -1] [-2 1 2 -2 0 0 2 -1 2 1 0 -3 6 0 0 1 -1 -1 2 1 -2 0] [ 0 1 1 -1 0 1 1 -1 1 1 -1 1 0 4 0 -1 -1 0 1 0 0 0] [ 0 0 -1 2 1 -1 0 0 0 -1 1 0 0 0 4 0 0 -1 -1 0 0 0] [-2 -1 1 0 -2 0 0 -1 1 0 0 -1 1 -1 0 4 0 0 0 0 1 0] [ 1 -1 0 1 1 1 -2 1 0 1 1 0 -1 -1 0 0 4 0 -2 0 0 1] [ 2 -1 -2 -1 2 -1 -1 -1 -2 0 0 2 -1 0 -1 0 0 6 0 -4 -1 -2] [-1 2 1 -2 -1 -1 2 -1 1 0 0 -1 2 1 -1 0 -2 0 4 0 -1 0] [-2 1 2 1 -2 1 1 1 2 0 0 -2 1 0 0 0 0 -4 0 6 2 2] [-2 0 0 2 -2 1 -2 1 0 0 -1 0 -2 0 0 1 0 -1 -1 2 6 1] [-1 1 1 1 -1 0 0 1 1 1 0 -1 0 0 0 0 1 -2 0 2 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 404. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 2 1 0 0 0 0 1 1 0 -1 0 -2 1 1 1 2 0 -1 -2 0] [ 0 4 2 2 0 0 1 0 -1 2 1 -1 -1 0 -2 0 -1 -1 -2 2 0 -1] [ 2 2 6 3 1 2 -1 -2 -1 2 -1 -1 -2 -1 1 0 1 1 -2 -1 -1 -2] [ 1 2 3 6 2 2 0 -2 1 1 -2 -1 -2 0 -1 -1 -1 -1 -1 -1 -1 1] [ 0 0 1 2 4 1 1 0 -1 1 0 1 -2 -1 1 1 1 -1 0 -1 1 -1] [ 0 0 2 2 1 4 0 -2 0 1 -1 1 -1 0 1 0 -1 0 0 0 0 1] [ 0 1 -1 0 1 0 4 1 0 2 2 1 0 0 0 2 -1 0 -1 2 0 1] [ 0 0 -2 -2 0 -2 1 4 -1 0 1 0 0 -1 -1 2 0 0 0 0 1 -1] [ 1 -1 -1 1 -1 0 0 -1 4 -1 -1 -1 1 1 0 0 -1 1 1 -1 -2 3] [ 1 2 2 1 1 1 2 0 -1 4 2 1 -1 -1 0 1 0 1 -2 2 0 0] [ 0 1 -1 -2 0 -1 2 1 -1 2 4 1 1 0 0 1 0 0 -1 3 0 0] [-1 -1 -1 -1 1 1 1 0 -1 1 1 4 -1 -1 1 0 0 0 0 0 1 0] [ 0 -1 -2 -2 -2 -1 0 0 1 -1 1 -1 4 1 0 0 0 1 0 2 -1 2] [-2 0 -1 0 -1 0 0 -1 1 -1 0 -1 1 4 -1 -1 -1 -1 0 1 0 2] [ 1 -2 1 -1 1 1 0 -1 0 0 0 1 0 -1 4 1 2 1 0 -1 0 -1] [ 1 0 0 -1 1 0 2 2 0 1 1 0 0 -1 1 4 0 1 0 0 0 0] [ 1 -1 1 -1 1 -1 -1 0 -1 0 0 0 0 -1 2 0 4 1 0 -1 0 -2] [ 2 -1 1 -1 -1 0 0 0 1 1 0 0 1 -1 1 1 1 4 0 0 -1 1] [ 0 -2 -2 -1 0 0 -1 0 1 -2 -1 0 0 0 0 0 0 0 4 -2 0 1] [-1 2 -1 -1 -1 0 2 0 -1 2 3 0 2 1 -1 0 -1 0 -2 6 1 1] [-2 0 -1 -1 1 0 0 1 -2 0 0 1 -1 0 0 0 0 -1 0 1 4 -2] [ 0 -1 -2 1 -1 1 1 -1 3 0 0 0 2 2 -1 0 -2 1 1 1 -2 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 405. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 1 -1 -1 0 0 1 0 -1 1 -2 -2 1 1 -1 -1 0] [ 1 4 0 -1 0 1 -1 -1 -1 -1 -1 2 1 -2 -1 1 1 2 1 -1 -2 1] [-1 0 4 -1 -2 0 -2 0 2 -1 1 1 0 1 1 -1 -1 1 -2 2 -1 1] [ 1 -1 -1 4 0 1 0 1 0 2 1 0 0 -1 0 -2 -2 0 0 0 0 -2] [ 1 0 -2 0 4 1 1 1 -1 -1 -1 -1 1 1 1 0 0 -1 0 -1 1 0] [ 2 1 0 1 1 4 1 1 -1 0 1 1 0 -1 0 -1 -1 1 1 -1 -1 0] [ 1 -1 -2 0 1 1 4 0 -2 0 0 -1 -1 0 0 0 0 -1 2 -2 1 -1] [-1 -1 0 1 1 1 0 4 0 1 1 -1 1 0 -1 0 0 -1 -1 0 1 0] [-1 -1 2 0 -1 -1 -2 0 4 0 1 -1 1 1 1 0 -1 0 -2 2 0 1] [ 0 -1 -1 2 -1 0 0 1 0 4 0 0 -1 -1 -1 -1 -1 0 0 0 0 -1] [ 0 -1 1 1 -1 1 0 1 1 0 4 -1 1 0 -1 -1 -1 -1 0 1 1 1] [ 1 2 1 0 -1 1 -1 -1 -1 0 -1 4 -1 -1 0 0 -1 2 0 0 -2 0] [ 0 1 0 0 1 0 -1 1 1 -1 1 -1 4 -1 0 1 1 -1 0 1 1 2] [-1 -2 1 -1 1 -1 0 0 1 -1 0 -1 -1 4 2 -1 -1 -1 -2 1 1 0] [ 1 -1 1 0 1 0 0 -1 1 -1 -1 0 0 2 4 -2 -2 0 -1 1 0 0] [-2 1 -1 -2 0 -1 0 0 0 -1 -1 0 1 -1 -2 6 4 -1 1 -1 1 1] [-2 1 -1 -2 0 -1 0 0 -1 -1 -1 -1 1 -1 -2 4 6 0 1 -1 1 1] [ 1 2 1 0 -1 1 -1 -1 0 0 -1 2 -1 -1 0 -1 0 4 0 0 -2 0] [ 1 1 -2 0 0 1 2 -1 -2 0 0 0 0 -2 -1 1 1 0 4 -2 0 0] [-1 -1 2 0 -1 -1 -2 0 2 0 1 0 1 1 1 -1 -1 0 -2 4 1 1] [-1 -2 -1 0 1 -1 1 1 0 0 1 -2 1 1 0 1 1 -2 0 1 4 0] [ 0 1 1 -2 0 0 -1 0 1 -1 1 0 2 0 0 1 1 0 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 406. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 -2 -2 -1 0 1 0 -1 0 0 1 -1 -2 0 1 -1 -1 -1 -2] [ 2 4 2 -2 -1 -2 -2 0 1 0 0 0 -1 -1 0 -1 -1 0 -1 0 -1 -2] [ 1 2 4 -2 0 -2 -1 1 0 -1 0 1 1 -1 1 -1 -1 0 -2 0 1 0] [-1 -2 -2 4 1 2 0 -1 0 1 1 -1 -1 0 0 0 2 0 1 0 1 1] [-2 -1 0 1 4 1 1 1 0 -1 2 1 1 -2 0 2 1 0 -1 0 0 1] [-2 -2 -2 2 1 4 0 -1 -1 1 1 -1 0 1 0 0 0 -1 1 1 0 1] [-1 -2 -1 0 1 0 4 1 -1 -1 0 0 1 0 -1 1 0 1 0 -1 0 1] [ 0 0 1 -1 1 -1 1 4 1 -1 1 2 1 -1 1 0 -1 -1 -2 1 0 1] [ 1 1 0 0 0 -1 -1 1 4 -1 0 0 -1 -1 -1 0 1 0 0 0 0 0] [ 0 0 -1 1 -1 1 -1 -1 -1 4 -1 -1 0 1 1 -1 1 0 1 0 -1 0] [-1 0 0 1 2 1 0 1 0 -1 4 0 0 -1 0 0 0 0 0 0 0 0] [ 0 0 1 -1 1 -1 0 2 0 -1 0 4 0 0 1 1 -1 0 -2 0 0 0] [ 0 -1 1 -1 1 0 1 1 -1 0 0 0 4 0 0 0 0 0 -1 0 0 1] [ 1 -1 -1 0 -2 1 0 -1 -1 1 -1 0 0 4 0 -1 -1 1 1 -1 0 -1] [-1 0 1 0 0 0 -1 1 -1 1 0 1 0 0 4 0 -1 -2 -1 1 1 1] [-2 -1 -1 0 2 0 1 0 0 -1 0 1 0 -1 0 4 1 0 0 0 0 1] [ 0 -1 -1 2 1 0 0 -1 1 1 0 -1 0 -1 -1 1 4 1 1 -1 0 1] [ 1 0 0 0 0 -1 1 -1 0 0 0 0 0 1 -2 0 1 4 1 -2 0 -1] [-1 -1 -2 1 -1 1 0 -2 0 1 0 -2 -1 1 -1 0 1 1 4 -1 0 0] [-1 0 0 0 0 1 -1 1 0 0 0 0 0 -1 1 0 -1 -2 -1 4 1 1] [-1 -1 1 1 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 1 4 1] [-2 -2 0 1 1 1 1 1 0 0 0 0 1 -1 1 1 1 -1 0 1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 407. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 0 -1 0 -1 -2 1 -2 0 0 -1 1 1 0 -1 1 0 0 0] [-1 4 2 1 -1 0 0 -1 2 1 0 0 1 -1 -2 -2 1 -1 -2 1 0 -1] [-2 2 4 -1 -1 0 1 0 1 -1 1 -1 1 -1 -2 -2 1 1 -1 1 1 -1] [ 1 1 -1 4 1 -1 1 0 0 1 -2 1 1 -1 1 1 1 -1 -1 1 -1 -1] [ 0 -1 -1 1 4 -1 1 2 1 -1 -1 2 1 1 0 2 1 1 0 1 -2 -1] [-1 0 0 -1 -1 4 -1 1 1 -1 0 0 0 2 1 1 0 1 0 0 0 0] [ 0 0 1 1 1 -1 4 0 -1 -1 0 1 0 -1 -1 1 2 1 -1 0 -1 -2] [-1 -1 0 0 2 1 0 4 2 -1 0 0 0 2 0 1 0 1 1 0 0 -1] [-2 2 1 0 1 1 -1 2 6 0 0 1 1 2 -2 -2 1 0 0 1 -1 0] [ 1 1 -1 1 -1 -1 -1 -1 0 4 -1 0 0 0 0 0 0 -1 -1 0 0 0] [-2 0 1 -2 -1 0 0 0 0 -1 4 -1 -2 0 -1 -2 -1 0 0 -2 1 1] [ 0 0 -1 1 2 0 1 0 1 0 -1 4 0 1 0 1 1 0 -1 1 -2 0] [ 0 1 1 1 1 0 0 0 1 0 -2 0 4 0 0 1 1 1 -1 2 -1 -1] [-1 -1 -1 -1 1 2 -1 2 2 0 0 1 0 4 1 1 0 1 1 0 -1 0] [ 1 -2 -2 1 0 1 -1 0 -2 0 -1 0 0 1 4 2 -1 0 1 0 0 1] [ 1 -2 -2 1 2 1 1 1 -2 0 -2 1 1 1 2 6 1 2 0 1 -1 -2] [ 0 1 1 1 1 0 2 0 1 0 -1 1 1 0 -1 1 4 2 -1 1 -1 -2] [-1 -1 1 -1 1 1 1 1 0 -1 0 0 1 1 0 2 2 4 0 1 0 -1] [ 1 -2 -1 -1 0 0 -1 1 0 -1 0 -1 -1 1 1 0 -1 0 4 -1 1 1] [ 0 1 1 1 1 0 0 0 1 0 -2 1 2 0 0 1 1 1 -1 4 0 -1] [ 0 0 1 -1 -2 0 -1 0 -1 0 1 -2 -1 -1 0 -1 -1 0 1 0 4 0] [ 0 -1 -1 -1 -1 0 -2 -1 0 0 1 0 -1 0 1 -2 -2 -1 1 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 408. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 -1 0 2 1 -2 0 -1 -1 -1 -2 0 2 0 2 0 -2 -1 0] [-2 4 0 -2 0 1 0 -1 2 1 0 1 1 1 0 -1 -1 -2 0 2 -1 1] [ 2 0 4 0 -1 -1 1 1 0 1 -1 -1 -1 -1 1 0 0 0 0 0 -2 -1] [ 2 -2 0 4 -1 -1 1 0 -2 -1 0 0 0 0 1 1 1 2 -1 -2 1 1] [-1 0 -1 -1 4 2 -2 0 1 0 0 1 1 0 0 -1 -1 -1 2 1 -1 1] [ 0 1 -1 -1 2 4 0 -1 1 1 -1 0 0 -1 0 0 -1 -1 1 1 -1 1] [ 2 0 1 1 -2 0 4 1 -1 1 0 -1 -1 0 -1 2 0 1 0 -1 -1 0] [ 1 -1 1 0 0 -1 1 4 -1 -1 0 0 0 0 -1 2 1 1 1 -1 0 0] [-2 2 0 -2 1 1 -1 -1 4 0 0 0 1 1 1 -2 -1 -2 0 2 0 0] [ 0 1 1 -1 0 1 1 -1 0 4 0 -1 -1 -1 -1 0 -1 0 1 0 -2 -1] [-1 0 -1 0 0 -1 0 0 0 0 4 -1 -1 0 -1 -1 0 0 1 0 2 -1] [-1 1 -1 0 1 0 -1 0 0 -1 -1 4 2 1 0 0 -1 -1 -1 0 0 2] [-1 1 -1 0 1 0 -1 0 1 -1 -1 2 4 1 0 0 0 0 -1 0 -1 2] [-2 1 -1 0 0 -1 0 0 1 -1 0 1 1 4 1 -1 1 -1 0 1 0 1] [ 0 0 1 1 0 0 -1 -1 1 -1 -1 0 0 1 4 -1 1 -1 -1 1 0 1] [ 2 -1 0 1 -1 0 2 2 -2 0 -1 0 0 -1 -1 4 0 2 0 -2 0 1] [ 0 -1 0 1 -1 -1 0 1 -1 -1 0 -1 0 1 1 0 4 0 0 0 0 0] [ 2 -2 0 2 -1 -1 1 1 -2 0 0 -1 0 -1 -1 2 0 4 0 -2 1 0] [ 0 0 0 -1 2 1 0 1 0 1 1 -1 -1 0 -1 0 0 0 4 0 -1 0] [-2 2 0 -2 1 1 -1 -1 2 0 0 0 0 1 1 -2 0 -2 0 4 0 0] [-1 -1 -2 1 -1 -1 -1 0 0 -2 2 0 -1 0 0 0 0 1 -1 0 6 -1] [ 0 1 -1 1 1 1 0 0 0 -1 -1 2 2 1 1 1 0 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 409. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 -1 -1 -1 -1 1 0 1 1 1 0 2 1 -1 -1 0 1 -1 0] [ 0 4 2 2 1 -1 2 -1 1 1 1 2 1 0 -1 -1 1 0 1 0 -1 -1] [ 1 2 4 0 0 -1 1 -2 0 0 1 2 0 -1 0 -1 1 -1 1 1 0 0] [-1 2 0 4 0 1 1 0 0 1 0 0 1 1 -1 0 1 1 0 -1 -1 0] [-1 1 0 0 4 1 2 -1 0 0 -1 1 0 -1 0 1 -1 -1 -1 1 0 0] [-1 -1 -1 1 1 4 1 0 0 -1 0 -1 1 -1 1 2 -1 0 -1 0 -1 1] [-1 2 1 1 2 1 4 0 0 0 0 1 1 0 0 1 0 -1 1 1 -1 -1] [-1 -1 -2 0 -1 0 0 4 -1 -1 -1 -1 -1 1 -1 0 1 1 1 -1 1 -1] [ 1 1 0 0 0 0 0 -1 4 0 1 0 2 1 1 0 -2 -1 -1 1 -2 1] [ 0 1 0 1 0 -1 0 -1 0 4 -1 0 1 0 0 0 1 0 1 0 -1 1] [ 1 1 1 0 -1 0 0 -1 1 -1 4 0 1 0 0 -1 0 1 1 -1 -1 -1] [ 1 2 2 0 1 -1 1 -1 0 0 0 4 -1 0 0 0 0 0 0 0 0 -1] [ 1 1 0 1 0 1 1 -1 2 1 1 -1 4 0 1 1 -1 -1 0 1 -2 1] [ 0 0 -1 1 -1 -1 0 1 1 0 0 0 0 4 0 0 -1 1 0 -1 0 -1] [ 2 -1 0 -1 0 1 0 -1 1 0 0 0 1 0 4 2 -2 -2 -1 1 -1 1] [ 1 -1 -1 0 1 2 1 0 0 0 -1 0 1 0 2 4 -1 -1 -1 1 -1 1] [-1 1 1 1 -1 -1 0 1 -2 1 0 0 -1 -1 -2 -1 4 1 2 -1 1 0] [-1 0 -1 1 -1 0 -1 1 -1 0 1 0 -1 1 -2 -1 1 4 1 -2 1 -1] [ 0 1 1 0 -1 -1 1 1 -1 1 1 0 0 0 -1 -1 2 1 4 -1 0 -1] [ 1 0 1 -1 1 0 1 -1 1 0 -1 0 1 -1 1 1 -1 -2 -1 4 0 1] [-1 -1 0 -1 0 -1 -1 1 -2 -1 -1 0 -2 0 -1 -1 1 1 0 0 4 -1] [ 0 -1 0 0 0 1 -1 -1 1 1 -1 -1 1 -1 1 1 0 -1 -1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 410. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 -2 0 1 -1 -2 1 1 1 -1 0 -1 -1 -1 0 -1 -1 1] [-2 4 -2 2 0 2 0 0 2 2 1 0 -1 -1 -1 0 0 -1 0 2 -1 1] [ 2 -2 4 -2 0 -1 -1 -1 -1 -2 -1 0 0 -1 1 0 -1 -1 -1 0 1 -1] [-2 2 -2 4 1 2 1 1 0 2 0 -1 -1 1 0 1 0 1 1 2 -1 1] [-1 0 0 1 4 2 -1 -1 -1 0 -1 0 -2 2 -1 1 1 -1 1 0 -1 -2] [-2 2 -1 2 2 6 0 0 -1 1 0 -2 -3 -1 0 2 0 1 -1 0 1 1] [ 0 0 -1 1 -1 0 4 0 -1 0 0 -1 0 -1 0 -1 1 2 0 1 1 2] [ 1 0 -1 1 -1 0 0 6 -2 1 3 2 2 -1 1 2 1 2 2 1 0 0] [-1 2 -1 0 -1 -1 -1 -2 6 0 0 0 1 -1 -2 -1 -1 -1 0 1 0 0] [-2 2 -2 2 0 1 0 1 0 4 1 0 0 0 0 1 0 1 0 0 -1 0] [ 1 1 -1 0 -1 0 0 3 0 1 4 2 1 -1 -1 1 0 1 1 0 -1 0] [ 1 0 0 -1 0 -2 -1 2 0 0 2 4 2 0 -1 0 1 -1 2 1 -1 -2] [ 1 -1 0 -1 -2 -3 0 2 1 0 1 2 4 -1 0 0 0 1 1 0 1 -1] [-1 -1 -1 1 2 -1 -1 -1 -1 0 -1 0 -1 6 0 0 0 -1 1 -1 -2 -1] [ 0 -1 1 0 -1 0 0 1 -2 0 -1 -1 0 0 4 0 -1 0 0 0 1 1] [-1 0 0 1 1 2 -1 2 -1 1 1 0 0 0 0 4 1 2 0 0 1 -1] [-1 0 -1 0 1 0 1 1 -1 0 0 1 0 0 -1 1 4 1 1 1 1 -1] [-1 -1 -1 1 -1 1 2 2 -1 1 1 -1 1 -1 0 2 1 6 0 0 3 0] [ 0 0 -1 1 1 -1 0 2 0 0 1 2 1 1 0 0 1 0 4 1 -1 -1] [-1 2 0 2 0 0 1 1 1 0 0 1 0 -1 0 0 1 0 1 6 1 0] [-1 -1 1 -1 -1 1 1 0 0 -1 -1 -1 1 -2 1 1 1 3 -1 1 6 -1] [ 1 1 -1 1 -2 1 2 0 0 0 0 -2 -1 -1 1 -1 -1 0 -1 0 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 411. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 0 -1 1 -1 -2 -2 1 1 1 2 0 -1 -1 -2 -1 2 0 0] [-1 4 0 1 1 2 -1 -1 -1 0 0 -2 0 0 0 1 -1 -1 1 0 -1 0] [-2 0 4 0 0 -1 -1 1 2 2 0 -1 0 -2 0 -1 1 2 0 -2 0 1] [ 1 1 0 4 1 1 -1 0 0 -1 2 -1 -1 0 -1 -1 0 -2 -1 0 0 -1] [ 0 1 0 1 4 0 -1 -2 0 0 1 0 -1 0 -2 -1 1 -1 1 0 -2 1] [-1 2 -1 1 0 6 1 -1 -1 0 0 -1 1 -1 0 1 1 1 2 -1 0 0] [ 1 -1 -1 -1 -1 1 4 0 -1 -1 -1 0 1 0 1 -1 1 2 1 0 0 1] [-1 -1 1 0 -2 -1 0 4 2 1 -1 -1 0 -1 0 0 0 0 -2 -1 2 -1] [-2 -1 2 0 0 -1 -1 2 4 2 0 0 -1 -2 -1 0 1 1 0 -2 1 -1] [-2 0 2 -1 0 0 -1 1 2 4 -1 0 1 -2 0 1 1 1 0 -2 0 0] [ 1 0 0 2 1 0 -1 -1 0 -1 4 1 0 0 0 0 1 -2 0 0 -1 -1] [ 1 -2 -1 -1 0 -1 0 -1 0 0 1 4 1 0 1 1 1 -1 0 0 -1 -1] [ 1 0 0 -1 -1 1 1 0 -1 1 0 1 4 0 1 1 0 0 0 0 0 0] [ 2 0 -2 0 0 -1 0 -1 -2 -2 0 0 0 4 -1 0 -2 -1 -1 2 0 0] [ 0 0 0 -1 -2 0 1 0 -1 0 0 1 1 -1 4 1 0 0 0 0 0 0] [-1 1 -1 -1 -1 1 -1 0 0 1 0 1 1 0 1 4 0 -1 0 0 0 -1] [-1 -1 1 0 1 1 1 0 1 1 1 1 0 -2 0 0 4 1 1 -2 -1 1] [-2 -1 2 -2 -1 1 2 0 1 1 -2 -1 0 -1 0 -1 1 6 2 -1 1 2] [-1 1 0 -1 1 2 1 -2 0 0 0 0 0 -1 0 0 1 2 4 -1 -1 1] [ 2 0 -2 0 0 -1 0 -1 -2 -2 0 0 0 2 0 0 -2 -1 -1 4 1 0] [ 0 -1 0 0 -2 0 0 2 1 0 -1 -1 0 0 0 0 -1 1 -1 1 4 -1] [ 0 0 1 -1 1 0 1 -1 -1 0 -1 -1 0 0 0 -1 1 2 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 412. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 -1 1 -1 -1 1 -2 0 0 1 0 -1 0 -2 -2 1 -2 0 1] [ 2 4 0 1 0 2 0 -1 1 -2 0 -1 1 -1 -1 -1 -1 0 0 -2 0 0] [-2 0 4 -1 0 -1 0 0 -1 0 0 0 -1 0 1 0 0 2 -2 0 0 -2] [ 1 1 -1 4 -1 0 1 -1 0 0 0 -2 0 -2 0 1 -1 -1 0 0 -1 0] [-1 0 0 -1 4 1 0 1 1 1 0 1 1 1 -1 1 0 0 1 1 -1 1] [ 1 2 -1 0 1 4 -1 -1 0 0 -1 0 0 0 0 0 1 -1 1 0 0 1] [-1 0 0 1 0 -1 4 -1 -1 0 1 0 0 0 0 0 1 1 0 0 0 1] [-1 -1 0 -1 1 -1 -1 4 2 0 1 0 1 0 -1 0 0 1 1 0 1 0] [ 1 1 -1 0 1 0 -1 2 4 -1 0 0 1 0 -1 0 -1 0 1 -1 1 1] [-2 -2 0 0 1 0 0 0 -1 4 0 0 0 1 1 1 1 0 0 2 -1 0] [ 0 0 0 0 0 -1 1 1 0 0 4 1 2 1 -2 1 -1 0 1 0 1 0] [ 0 -1 0 -2 1 0 0 0 0 0 1 4 0 2 -1 1 0 -1 0 0 1 1] [ 1 1 -1 0 1 0 0 1 1 0 2 0 4 0 -1 0 -1 -1 2 0 0 1] [ 0 -1 0 -2 1 0 0 0 0 1 1 2 0 4 -1 1 0 0 0 0 1 1] [-1 -1 1 0 -1 0 0 -1 -1 1 -2 -1 -1 -1 4 -1 1 0 0 1 -1 0] [ 0 -1 0 1 1 0 0 0 0 1 1 1 0 1 -1 4 0 -1 0 1 0 1] [-2 -1 0 -1 0 1 1 0 -1 1 -1 0 -1 0 1 0 4 1 0 1 1 1] [-2 0 2 -1 0 -1 1 1 0 0 0 -1 -1 0 0 -1 1 4 -1 0 1 -1] [ 1 0 -2 0 1 1 0 1 1 0 1 0 2 0 0 0 0 -1 4 0 0 2] [-2 -2 0 0 1 0 0 0 -1 2 0 0 0 0 1 1 1 0 0 4 0 0] [ 0 0 0 -1 -1 0 0 1 1 -1 1 1 0 1 -1 0 1 1 0 0 4 0] [ 1 0 -2 0 1 1 1 0 1 0 0 1 1 1 0 1 1 -1 2 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 413. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 1 -1 -1 2 1 -2 2 -1 -1 1 0 2 1 -1 1 1 1 -2] [ 1 4 2 2 0 1 -1 0 -1 -2 2 -2 1 -1 0 1 0 -1 2 1 -1 -1] [ 2 2 4 0 1 0 -1 1 1 -1 1 -2 0 -1 1 2 0 0 2 0 0 -1] [ 1 2 0 4 -1 0 0 -1 -1 -1 2 0 1 0 -1 0 1 -2 1 2 -1 0] [ 1 0 1 -1 4 1 -2 0 1 -2 1 -2 1 -1 -1 0 0 1 -1 -1 -1 0] [-1 1 0 0 1 4 0 -1 -1 0 -1 -2 2 -1 0 -1 1 1 0 -1 -2 1] [-1 -1 -1 0 -2 0 4 -1 -1 2 -2 0 0 0 0 0 1 0 0 0 0 0] [ 2 0 1 -1 0 -1 -1 4 1 0 1 0 -2 1 1 1 -1 0 1 0 2 -1] [ 1 -1 1 -1 1 -1 -1 1 4 -1 -1 1 0 -1 1 0 1 1 0 -1 0 -1] [-2 -2 -1 -1 -2 0 2 0 -1 6 -3 0 -1 0 2 -2 0 1 -1 -1 1 2] [ 2 2 1 2 1 -1 -2 1 -1 -3 6 -1 0 1 -2 1 -1 -1 2 1 0 -1] [-1 -2 -2 0 -2 -2 0 0 1 0 -1 6 -2 2 0 0 -1 0 -1 0 1 0] [-1 1 0 1 1 2 0 -2 0 -1 0 -2 4 -2 -1 -1 1 0 0 0 -2 1] [ 1 -1 -1 0 -1 -1 0 1 -1 0 1 2 -2 4 0 1 -1 0 0 0 2 -1] [ 0 0 1 -1 -1 0 0 1 1 2 -2 0 -1 0 4 0 0 0 0 -1 1 0] [ 2 1 2 0 0 -1 0 1 0 -2 1 0 -1 1 0 4 0 -1 1 1 1 -1] [ 1 0 0 1 0 1 1 -1 1 0 -1 -1 1 -1 0 0 4 0 0 0 -1 0] [-1 -1 0 -2 1 1 0 0 1 1 -1 0 0 0 0 -1 0 4 0 -2 0 0] [ 1 2 2 1 -1 0 0 1 0 -1 2 -1 0 0 0 1 0 0 4 0 0 -1] [ 1 1 0 2 -1 -1 0 0 -1 -1 1 0 0 0 -1 1 0 -2 0 4 1 0] [ 1 -1 0 -1 -1 -2 0 2 0 1 0 1 -2 2 1 1 -1 0 0 1 4 -1] [-2 -1 -1 0 0 1 0 -1 -1 2 -1 0 1 -1 0 -1 0 0 -1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 414. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 2 0 0 1 1 1 -1 1 -1 0 0 -1 2 -1 1 -1 -1 -1 1] [ 0 4 1 -1 -1 0 1 1 2 -1 -1 1 -1 -1 -2 -1 -2 -1 0 1 1 1] [-1 1 4 -1 0 1 0 -1 0 0 0 2 1 1 -1 -1 -1 -2 -1 2 1 -1] [ 2 -1 -1 4 -1 1 1 0 -1 -1 2 0 0 0 0 1 0 0 -1 0 -1 0] [ 0 -1 0 -1 4 0 -2 0 0 1 0 0 -1 -1 1 -1 2 0 1 0 0 -1] [ 0 0 1 1 0 4 0 1 1 -1 1 0 -1 -1 -1 0 1 0 0 0 1 -2] [ 1 1 0 1 -2 0 4 -1 1 0 1 0 1 1 -2 1 -2 0 0 0 1 0] [ 1 1 -1 0 0 1 -1 4 2 -2 -1 -1 -1 -1 0 1 0 1 1 -1 0 0] [ 1 2 0 -1 0 1 1 2 4 -1 -1 0 -1 -1 -2 1 -1 0 1 0 1 0] [-1 -1 0 -1 1 -1 0 -2 -1 4 0 0 1 1 1 -1 1 0 1 0 -1 -1] [ 1 -1 0 2 0 1 1 -1 -1 0 4 -1 0 0 -1 0 1 1 0 -1 0 -1] [-1 1 2 0 0 0 0 -1 0 0 -1 4 0 1 0 -1 -1 -2 -1 2 0 0] [ 0 -1 1 0 -1 -1 1 -1 -1 1 0 0 4 2 0 1 -1 -1 -1 0 0 0] [ 0 -1 1 0 -1 -1 1 -1 -1 1 0 1 2 4 0 1 -1 0 -1 0 0 0] [-1 -2 -1 0 1 -1 -2 0 -2 1 -1 0 0 0 4 -1 1 0 1 0 -2 0] [ 2 -1 -1 1 -1 0 1 1 1 -1 0 -1 1 1 -1 4 0 1 -1 -1 0 1] [-1 -2 -1 0 2 1 -2 0 -1 1 1 -1 -1 -1 1 0 4 1 1 -1 0 -1] [ 1 -1 -2 0 0 0 0 1 0 0 1 -2 -1 0 0 1 1 4 1 -2 0 0] [-1 0 -1 -1 1 0 0 1 1 1 0 -1 -1 -1 1 -1 1 1 4 -1 0 -1] [-1 1 2 0 0 0 0 -1 0 0 -1 2 0 0 0 -1 -1 -2 -1 4 1 0] [-1 1 1 -1 0 1 1 0 1 -1 0 0 0 0 -2 0 0 0 0 1 4 -1] [ 1 1 -1 0 -1 -2 0 0 0 -1 -1 0 0 0 0 1 -1 0 -1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 415. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 0 -1 -1 2 0 -1 0 1 1 0 0 1 -1 -1 1 0 1 -1] [-2 4 1 -1 0 1 2 0 0 0 0 1 0 1 0 -2 0 0 -1 0 0 0] [ 0 1 4 -2 0 2 2 0 0 0 0 2 1 1 0 -1 -1 -1 -1 0 1 0] [-1 -1 -2 6 2 0 -2 -2 -1 0 2 -3 0 -2 -2 2 2 1 0 2 -1 0] [ 0 0 0 2 4 1 0 1 0 0 2 -2 -1 -1 -1 0 -1 -1 -1 2 1 0] [-1 1 2 0 1 4 2 -1 -1 -1 0 0 1 0 -1 0 0 -1 -2 0 1 -1] [-1 2 2 -2 0 2 4 0 0 0 -1 1 0 0 1 -2 0 -1 -1 -1 1 0] [ 2 0 0 -2 1 -1 0 4 0 0 0 0 0 1 1 -1 -2 -1 1 0 1 0] [ 0 0 0 -1 0 -1 0 0 4 2 -1 1 -1 1 0 0 1 -1 1 -1 1 2] [-1 0 0 0 0 -1 0 0 2 4 0 -1 -1 0 1 0 1 -1 0 0 1 1] [ 0 0 0 2 2 0 -1 0 -1 0 4 -2 0 0 0 1 -1 0 -1 2 0 -1] [ 1 1 2 -3 -2 0 1 0 1 -1 -2 6 1 1 -1 -2 0 1 0 -2 0 1] [ 1 0 1 0 -1 1 0 0 -1 -1 0 1 4 0 0 0 1 -1 1 0 1 -1] [ 0 1 1 -2 -1 0 0 1 1 0 0 1 0 4 0 0 -1 0 0 -1 0 1] [ 0 0 0 -2 -1 -1 1 1 0 1 0 -1 0 0 4 0 -1 -1 1 0 1 -1] [ 1 -2 -1 2 0 0 -2 -1 0 0 1 -2 0 0 0 4 0 0 0 1 0 -1] [-1 0 -1 2 -1 0 0 -2 1 1 -1 0 1 -1 -1 0 4 0 1 -1 0 1] [-1 0 -1 1 -1 -1 -1 -1 -1 -1 0 1 -1 0 -1 0 0 4 0 0 -2 1] [ 1 -1 -1 0 -1 -2 -1 1 1 0 -1 0 1 0 1 0 1 0 4 -1 0 1] [ 0 0 0 2 2 0 -1 0 -1 0 2 -2 0 -1 0 1 -1 0 -1 4 1 -1] [ 1 0 1 -1 1 1 1 1 1 1 0 0 1 0 1 0 0 -2 0 1 4 -1] [-1 0 0 0 0 -1 0 0 2 1 -1 1 -1 1 -1 -1 1 1 1 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 416. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 0 1 2 1 -1 1 2 2 1 1 -2 1 -1 0 0 0 2 2] [ 1 4 0 -2 1 1 0 -1 0 2 0 0 1 1 1 2 -2 1 1 -1 -1 -1] [ 1 0 4 1 -1 1 0 2 0 -1 2 2 1 2 1 0 0 1 0 -1 2 -1] [-1 -2 1 4 -1 -1 0 1 1 -1 -1 -1 0 0 -1 -1 1 0 -1 1 1 -1] [ 0 1 -1 -1 4 0 0 0 1 1 1 -2 1 -1 0 -1 -2 1 2 0 0 1] [ 1 1 1 -1 0 4 -1 1 -1 1 0 1 1 1 2 2 -2 1 -1 0 -1 -1] [ 2 0 0 0 0 -1 4 1 -1 0 1 1 0 0 -2 -1 0 0 0 1 1 1] [ 1 -1 2 1 0 1 1 4 0 -1 1 2 0 1 0 -1 -1 0 0 0 2 -1] [-1 0 0 1 1 -1 -1 0 4 -1 1 -1 1 1 0 0 0 1 0 -1 1 0] [ 1 2 -1 -1 1 1 0 -1 -1 4 0 0 1 0 -1 2 -2 1 0 0 -2 1] [ 2 0 2 -1 1 0 1 1 1 0 6 2 1 1 0 0 0 2 0 -2 2 2] [ 2 0 2 -1 -2 1 1 2 -1 0 2 6 1 1 -1 1 0 1 -1 0 1 0] [ 1 1 1 0 1 1 0 0 1 1 1 1 4 0 0 1 -1 2 0 0 1 1] [ 1 1 2 0 -1 1 0 1 1 0 1 1 0 4 0 1 -1 0 -1 -1 0 -1] [-2 1 1 -1 0 2 -2 0 0 -1 0 -1 0 0 6 1 0 1 0 -2 -1 -3] [ 1 2 0 -1 -1 2 -1 -1 0 2 0 1 1 1 1 4 -1 1 -1 -1 -1 0] [-1 -2 0 1 -2 -2 0 -1 0 -2 0 0 -1 -1 0 -1 4 -1 -1 0 1 0] [ 0 1 1 0 1 1 0 0 1 1 2 1 2 0 1 1 -1 4 0 0 0 0] [ 0 1 0 -1 2 -1 0 0 0 0 0 -1 0 -1 0 -1 -1 0 4 -1 1 1] [ 0 -1 -1 1 0 0 1 0 -1 0 -2 0 0 -1 -2 -1 0 0 -1 4 0 0] [ 2 -1 2 1 0 -1 1 2 1 -2 2 1 1 0 -1 -1 1 0 1 0 6 1] [ 2 -1 -1 -1 1 -1 1 -1 0 1 2 0 1 -1 -3 0 0 0 1 0 1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 417. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -1 -1 0 1 2 2 1 0 2 0 0 -2 1 0 -2 2 -1 2] [-1 4 0 -2 2 0 0 1 -2 0 -1 0 -2 1 0 1 1 0 0 -2 1 0] [-2 0 4 -2 -1 0 0 0 -1 -2 0 -1 -2 0 1 1 -2 -1 1 0 1 -1] [ 2 -2 -2 4 0 -1 0 0 1 1 0 0 3 0 0 -2 0 1 -1 2 -1 1] [-1 2 -1 0 6 2 -2 -1 -3 -1 -2 2 0 2 -2 2 0 0 1 0 2 0] [-1 0 0 -1 2 4 -2 -2 -2 -1 -1 1 -1 0 -1 2 1 0 1 -1 1 -1] [ 0 0 0 0 -2 -2 4 0 1 0 1 0 0 -1 0 -1 -1 0 0 0 -1 -1] [ 1 1 0 0 -1 -2 0 4 0 1 0 -2 1 1 2 -1 1 1 -2 1 -1 1] [ 2 -2 -1 1 -3 -2 1 0 6 1 1 0 2 -2 0 -2 0 0 0 1 -1 1] [ 2 0 -2 1 -1 -1 0 1 1 4 0 0 0 1 1 -1 1 1 -2 1 -1 1] [ 1 -1 0 0 -2 -1 1 0 1 0 4 0 0 -1 -1 -1 0 -2 -1 0 -1 1] [ 0 0 -1 0 2 1 0 -2 0 0 0 4 -1 1 -1 0 0 0 0 -1 0 -1] [ 2 -2 -2 3 0 -1 0 1 2 0 0 -1 6 0 -1 -1 0 0 -1 2 0 2] [ 0 1 0 0 2 0 -1 1 -2 1 -1 1 0 4 1 0 0 1 -1 1 0 0] [ 0 0 1 0 -2 -1 0 2 0 1 -1 -1 -1 1 4 -1 0 2 -1 0 -1 -1] [-2 1 1 -2 2 2 -1 -1 -2 -1 -1 0 -1 0 -1 4 0 -1 1 -1 2 0] [ 1 1 -2 0 0 1 -1 1 0 1 0 0 0 0 0 0 4 1 -1 -1 -1 1] [ 0 0 -1 1 0 0 0 1 0 1 -2 0 0 1 2 -1 1 4 0 1 -1 -1] [-2 0 1 -1 1 1 0 -2 0 -2 -1 0 -1 -1 -1 1 -1 0 4 -1 1 -1] [ 2 -2 0 2 0 -1 0 1 1 1 0 -1 2 1 0 -1 -1 1 -1 6 0 1] [-1 1 1 -1 2 1 -1 -1 -1 -1 -1 0 0 0 -1 2 -1 -1 1 0 4 0] [ 2 0 -1 1 0 -1 -1 1 1 1 1 -1 2 0 -1 0 1 -1 -1 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 418. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 0 -1 0 -1 -1 -2 -2 -2 1 1 1 1 2 1 -1 -2 -1 2] [ 1 4 -2 0 0 1 0 1 1 0 0 1 0 0 1 2 0 -1 1 0 1 2] [-2 -2 6 -1 -2 2 2 -2 -1 1 1 -1 0 1 -3 1 -1 2 0 1 -2 -3] [ 1 0 -1 4 -1 0 1 0 -1 0 0 -1 -1 0 -1 0 -1 0 0 0 -1 2] [ 0 0 -2 -1 4 0 -2 2 0 0 -1 2 1 0 1 0 0 -1 -1 0 0 -1] [-1 1 2 0 0 4 0 1 -1 1 1 1 0 1 -1 1 -1 0 1 1 0 0] [ 0 0 2 1 -2 0 4 -1 -1 0 1 -2 -1 0 -2 1 -1 1 -1 0 -1 0] [-1 1 -2 0 2 1 -1 4 0 0 1 2 0 0 1 -1 -1 -2 0 0 2 0] [-1 1 -1 -1 0 -1 -1 0 4 0 1 1 0 0 1 0 0 -1 2 0 2 0] [-2 0 1 0 0 1 0 0 0 4 0 2 -1 -2 -1 1 -2 0 0 2 0 0] [-2 0 1 0 -1 1 1 1 1 0 4 1 -1 0 0 -1 -1 0 1 0 1 -1] [-2 1 -1 -1 2 1 -2 2 1 2 1 6 1 -1 1 -1 0 -2 1 0 0 -1] [ 1 0 0 -1 1 0 -1 0 0 -1 -1 1 4 2 0 1 2 -1 0 -1 -1 0] [ 1 0 1 0 0 1 0 0 0 -2 0 -1 2 4 -1 1 1 0 0 -1 0 0] [ 1 1 -3 -1 1 -1 -2 1 1 -1 0 1 0 -1 4 -2 1 -1 1 -1 1 1] [ 1 2 1 0 0 1 1 -1 0 1 -1 -1 1 1 -2 6 0 1 -1 1 -1 1] [ 2 0 -1 -1 0 -1 -1 -1 0 -2 -1 0 2 1 1 0 4 0 0 -2 0 1] [ 1 -1 2 0 -1 0 1 -2 -1 0 0 -2 -1 0 -1 1 0 4 -1 0 -1 -1] [-1 1 0 0 -1 1 -1 0 2 0 1 1 0 0 1 -1 0 -1 4 0 1 1] [-2 0 1 0 0 1 0 0 0 2 0 0 -1 -1 -1 1 -2 0 0 4 1 0] [-1 1 -2 -1 0 0 -1 2 2 0 1 0 -1 0 1 -1 0 -1 1 1 6 1] [ 2 2 -3 2 -1 0 0 0 0 0 -1 -1 0 0 1 1 1 -1 1 0 1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 419. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 -1 -1 1 1 1 0 1 -1 1 -2 2 -1 0 0 1 1 1 2] [-1 4 1 -1 0 0 1 -1 1 -1 0 2 -1 0 1 0 1 1 1 0 -2 0] [ 1 1 4 -1 -1 -2 0 -1 0 -1 2 1 1 -2 0 1 -1 2 0 2 -1 1] [ 2 -1 -1 4 1 -1 0 1 0 1 0 -2 -1 -1 1 0 1 -1 1 0 2 1] [-1 0 -1 1 4 0 1 0 -2 -1 0 0 -1 -1 -1 0 -1 -1 1 0 0 0] [-1 0 -2 -1 0 4 0 1 1 0 -2 1 0 1 -1 -2 1 0 -1 -2 -1 0] [ 1 1 0 0 1 0 4 -1 0 -2 0 1 1 -2 0 -1 0 0 1 0 -1 1] [ 1 -1 -1 1 0 1 -1 4 0 0 -1 -1 -1 1 2 -1 1 0 1 -1 1 1] [ 1 1 0 0 -2 1 0 0 4 1 -1 0 1 0 2 0 2 1 -1 -1 0 0] [ 0 -1 -1 1 -1 0 -2 0 1 4 -1 -1 0 1 0 0 1 0 0 -1 1 -1] [ 1 0 2 0 0 -2 0 -1 -1 -1 4 -1 1 -1 0 1 -2 0 0 2 0 1] [-1 2 1 -2 0 1 1 -1 0 -1 -1 4 0 -1 -1 -1 0 1 0 0 -2 0] [ 1 -1 1 -1 -1 0 1 -1 1 0 1 0 4 -2 0 0 -1 0 -1 1 0 1] [-2 0 -2 -1 -1 1 -2 1 0 1 -1 -1 -2 6 0 1 0 -1 0 -1 1 -1] [ 2 1 0 1 -1 -1 0 2 2 0 0 -1 0 0 6 0 1 -1 1 0 1 1] [-1 0 1 0 0 -2 -1 -1 0 0 1 -1 0 1 0 4 0 0 -1 1 1 0] [ 0 1 -1 1 -1 1 0 1 2 1 -2 0 -1 0 1 0 4 1 0 -2 0 0] [ 0 1 2 -1 -1 0 0 0 1 0 0 1 0 -1 -1 0 1 4 0 0 -1 0] [ 1 1 0 1 1 -1 1 1 -1 0 0 0 -1 0 1 -1 0 0 4 0 0 1] [ 1 0 2 0 0 -2 0 -1 -1 -1 2 0 1 -1 0 1 -2 0 0 4 1 1] [ 1 -2 -1 2 0 -1 -1 1 0 1 0 -2 0 1 1 1 0 -1 0 1 4 0] [ 2 0 1 1 0 0 1 1 0 -1 1 0 1 -1 1 0 0 0 1 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 420. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 1 -1 1 0 0 1 1 0 2 2 0 1 0 0 -1 2 -1 2] [ 1 4 -2 -1 2 1 0 0 1 2 1 0 -1 -1 0 2 1 0 -2 -1 -1 1] [-1 -2 4 -1 -2 0 0 -1 -1 -2 0 -1 -1 0 1 -1 1 -1 1 1 1 -1] [ 2 -1 -1 4 1 -1 0 0 -1 0 0 0 3 2 0 -1 -1 1 0 2 -1 1] [ 1 2 -2 1 4 1 -1 1 0 1 1 1 1 1 -1 1 -1 0 -1 1 -1 1] [-1 1 0 -1 1 4 -2 0 0 1 1 -1 -1 -2 1 -1 -1 0 -1 -1 -1 -1] [ 1 0 0 0 -1 -2 4 1 0 0 -1 -1 1 1 1 1 1 1 -1 1 0 0] [ 0 0 -1 0 1 0 1 4 -1 0 0 0 2 0 0 0 0 1 0 1 -1 0] [ 0 1 -1 -1 0 0 0 -1 4 0 -1 1 -1 1 -1 1 1 0 0 -1 1 1] [ 1 2 -2 0 1 1 0 0 0 4 0 0 -1 0 1 1 -1 1 -2 0 -1 0] [ 1 1 0 0 1 1 -1 0 -1 0 4 0 0 -1 -1 0 0 -2 -1 0 -1 1] [ 0 0 -1 0 1 -1 -1 0 1 0 0 4 -1 2 -1 0 0 0 0 -1 0 0] [ 2 -1 -1 3 1 -1 1 2 -1 -1 0 -1 6 2 -1 0 -1 0 0 2 0 2] [ 2 -1 0 2 1 -2 1 0 1 0 -1 2 2 6 0 0 0 1 0 3 0 1] [ 0 0 1 0 -1 1 1 0 -1 1 -1 -1 -1 0 4 -1 0 2 -1 0 -1 -2] [ 1 2 -1 -1 1 -1 1 0 1 1 0 0 0 0 -1 4 1 -1 -1 0 1 2] [ 0 1 1 -1 -1 -1 1 0 1 -1 0 0 -1 0 0 1 4 0 0 0 0 1] [ 0 0 -1 1 0 0 1 1 0 1 -2 0 0 1 2 -1 0 4 0 1 -1 -1] [-1 -2 1 0 -1 -1 -1 0 0 -2 -1 0 0 0 -1 -1 0 0 4 0 1 0] [ 2 -1 1 2 1 -1 1 1 -1 0 0 -1 2 3 0 0 0 1 0 6 0 1] [-1 -1 1 -1 -1 -1 0 -1 1 -1 -1 0 0 0 -1 1 0 -1 1 0 4 0] [ 2 1 -1 1 1 -1 0 0 1 0 1 0 2 1 -2 2 1 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 421. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 1 -1 -1 -1 0 2 1 2 -2 -1 2 -1 1 1 1 -1 -2 0] [-1 4 1 1 -2 -1 1 0 -1 -2 -2 0 1 2 -1 -1 -1 -1 -1 1 0 -1] [ 2 1 4 0 -1 0 0 -1 -1 0 0 2 0 0 0 -2 1 0 1 0 -2 -1] [ 1 1 0 4 1 -1 -1 1 -1 -1 0 1 -1 0 1 0 -1 -1 1 1 0 1] [ 1 -2 -1 1 4 1 -2 0 0 0 1 0 -1 -2 1 0 -1 0 1 0 0 2] [-1 -1 0 -1 1 4 0 -1 -1 0 0 -1 1 0 -1 1 0 -1 1 1 0 0] [-1 1 0 -1 -2 0 4 1 0 1 -1 0 0 0 -1 -1 1 1 -2 -1 1 0] [-1 0 -1 1 0 -1 1 4 1 0 1 0 -1 -1 -1 0 -1 0 0 0 2 1] [ 0 -1 -1 -1 0 -1 0 1 4 0 1 0 0 0 1 0 -1 1 0 -1 0 1] [ 2 -2 0 -1 0 0 1 0 0 6 0 0 -1 -1 1 0 3 2 0 -2 -1 0] [ 1 -2 0 0 1 0 -1 1 1 0 4 0 -1 -1 0 0 0 1 2 -1 0 0] [ 2 0 2 1 0 -1 0 0 0 0 0 4 -2 0 1 -1 0 1 0 -1 -1 0] [-2 1 0 -1 -1 1 0 -1 0 -1 -1 -2 4 1 -1 0 0 -1 0 1 0 0] [-1 2 0 0 -2 0 0 -1 0 -1 -1 0 1 4 0 1 -1 0 0 0 0 -2] [ 2 -1 0 1 1 -1 -1 -1 1 1 0 1 -1 0 4 0 0 0 0 -1 -1 1] [-1 -1 -2 0 0 1 -1 0 0 0 0 -1 0 1 0 4 0 -1 0 1 1 0] [ 1 -1 1 -1 -1 0 1 -1 -1 3 0 0 0 -1 0 0 4 1 0 -1 -1 0] [ 1 -1 0 -1 0 -1 1 0 1 2 1 1 -1 0 0 -1 1 4 0 -2 0 0] [ 1 -1 1 1 1 1 -2 0 0 0 2 0 0 0 0 0 0 0 4 0 -1 0] [-1 1 0 1 0 1 -1 0 -1 -2 -1 -1 1 0 -1 1 -1 -2 0 4 1 0] [-2 0 -2 0 0 0 1 2 0 -1 0 -1 0 0 -1 1 -1 0 -1 1 4 0] [ 0 -1 -1 1 2 0 0 1 1 0 0 0 0 -2 1 0 0 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 422. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 2 0 1 0 0 -1 0 1 1 2 0 1 2 2 0 0 0 2 2] [ 2 4 2 1 -1 1 -1 -1 -1 -1 2 2 2 1 0 1 1 0 1 0 0 1] [ 1 2 4 0 0 1 -2 0 0 0 1 0 2 0 0 1 0 1 1 -1 -1 2] [ 2 1 0 4 -1 -1 -1 0 -1 -1 1 1 1 -1 1 1 0 1 -1 -1 1 1] [ 0 -1 0 -1 4 1 -1 0 2 1 -1 -1 -1 0 -1 1 -1 0 1 0 1 0] [ 1 1 1 -1 1 4 0 -1 1 1 0 0 0 2 -1 1 0 0 1 0 1 1] [ 0 -1 -2 -1 -1 0 6 2 -2 2 -2 1 0 0 2 1 1 -2 -2 2 0 0] [ 0 -1 0 0 0 -1 2 4 0 0 -1 0 0 0 1 1 1 -1 -2 1 0 0] [-1 -1 0 -1 2 1 -2 0 4 -1 -1 -1 -1 0 -1 0 -1 1 0 -1 0 -1] [ 0 -1 0 -1 1 1 2 0 -1 4 -1 0 0 0 1 0 -1 -1 0 1 0 1] [ 1 2 1 1 -1 0 -2 -1 -1 -1 4 0 1 1 -1 -1 1 1 2 -1 0 0] [ 1 2 0 1 -1 0 1 0 -1 0 0 4 0 1 1 1 0 0 -1 0 0 0] [ 2 2 2 1 -1 0 0 0 -1 0 1 0 4 -1 1 1 1 0 0 0 0 2] [ 0 1 0 -1 0 2 0 0 0 0 1 1 -1 4 -1 0 0 0 1 0 1 -1] [ 1 0 0 1 -1 -1 2 1 -1 1 -1 1 1 -1 4 1 0 -1 -2 0 0 1] [ 2 1 1 1 1 1 1 1 0 0 -1 1 1 0 1 4 1 0 -1 0 1 2] [ 2 1 0 0 -1 0 1 1 -1 -1 1 0 1 0 0 1 4 -1 0 1 1 1] [ 0 0 1 1 0 0 -2 -1 1 -1 1 0 0 0 -1 0 -1 4 1 -2 0 0] [ 0 1 1 -1 1 1 -2 -2 0 0 2 -1 0 1 -2 -1 0 1 4 -1 0 0] [ 0 0 -1 -1 0 0 2 1 -1 1 -1 0 0 0 0 0 1 -2 -1 4 1 0] [ 2 0 -1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 4 0] [ 2 1 2 1 0 1 0 0 -1 1 0 0 2 -1 1 2 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 423. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 0 1 -1 0 0 0 0 -1 2 1 0 1 -2 0 -2 0 2 1 1] [-2 4 0 1 -2 0 0 0 -1 1 1 -2 -1 -1 -1 2 -1 0 -1 -2 -1 -1] [-1 0 6 -2 -2 2 2 -1 1 2 2 -1 2 2 2 3 -1 2 -1 -1 -2 2] [ 0 1 -2 6 -2 0 1 -2 -3 -1 1 0 0 0 -1 1 -1 -3 2 0 0 -1] [ 1 -2 -2 -2 6 -1 -1 2 2 0 -3 2 -1 -1 1 -1 3 2 1 2 1 0] [-1 0 2 0 -1 4 0 0 1 0 1 -1 0 0 1 1 1 1 1 -1 -2 1] [ 0 0 2 1 -1 0 4 0 -1 0 0 0 1 2 0 2 -1 1 1 0 0 1] [ 0 0 -1 -2 2 0 0 4 2 0 -1 0 -2 -1 0 0 1 1 1 0 0 0] [ 0 -1 1 -3 2 1 -1 2 4 0 0 0 -1 -1 1 0 2 1 0 0 0 0] [ 0 1 2 -1 0 0 0 0 0 4 1 -1 1 1 2 2 0 0 -1 -1 -2 0] [-1 1 2 1 -3 1 0 -1 0 1 4 -2 1 1 0 1 -1 -1 0 -2 -1 -1] [ 2 -2 -1 0 2 -1 0 0 0 -1 -2 4 1 0 1 -1 0 0 0 2 1 1] [ 1 -1 2 0 -1 0 1 -2 -1 1 1 1 4 2 1 0 -1 0 -1 0 0 1] [ 0 -1 2 0 -1 0 2 -1 -1 1 1 0 2 4 1 1 -1 1 0 0 0 0] [ 1 -1 2 -1 1 1 0 0 1 2 0 1 1 1 4 1 0 0 0 1 -1 1] [-2 2 3 1 -1 1 2 0 0 2 1 -1 0 1 1 6 0 1 0 -1 -2 1] [ 0 -1 -1 -1 3 1 -1 1 2 0 -1 0 -1 -1 0 0 4 1 1 0 0 0] [-2 0 2 -3 2 1 1 1 1 0 -1 0 0 1 0 1 1 6 0 0 0 1] [ 0 -1 -1 2 1 1 1 1 0 -1 0 0 -1 0 0 0 1 0 4 0 0 0] [ 2 -2 -1 0 2 -1 0 0 0 -1 -2 2 0 0 1 -1 0 0 0 4 2 1] [ 1 -1 -2 0 1 -2 0 0 0 -2 -1 1 0 0 -1 -2 0 0 0 2 4 -1] [ 1 -1 2 -1 0 1 1 0 0 0 -1 1 1 0 1 1 0 1 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 424. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 -2 -1 -1 -1 -1 1 0 -1 -1 -2 1 2 -2 -1 1 2] [ 1 4 -1 -2 -1 0 -1 1 -1 -1 0 0 1 -2 -1 -1 0 0 0 -2 1 1] [-1 -1 4 0 1 -2 -1 0 0 0 -1 1 0 1 -1 0 1 0 1 1 1 -1] [-1 -2 0 4 -1 -1 2 1 2 1 -1 0 0 0 1 0 -1 1 -1 0 -1 0] [ 1 -1 1 -1 4 0 -2 -2 -1 -1 0 1 -1 1 -1 0 2 1 1 1 1 0] [ 2 0 -2 -1 0 6 -2 0 -2 -2 2 -1 -2 -1 0 1 1 -1 -1 -1 0 2] [-2 -1 -1 2 -2 -2 6 0 1 1 1 0 1 0 2 1 -1 -1 0 0 -2 -2] [-1 1 0 1 -2 0 0 4 0 1 0 -1 0 -1 1 0 0 -1 0 -1 -1 1] [-1 -1 0 2 -1 -2 1 0 4 2 -2 -1 0 1 1 0 -1 1 0 1 -1 0] [-1 -1 0 1 -1 -2 1 1 2 4 -1 -1 1 1 1 -1 -1 0 0 1 -1 -1] [-1 0 -1 -1 0 2 1 0 -2 -1 4 -1 -1 0 1 2 1 -2 1 0 -1 -1] [ 1 0 1 0 1 -1 0 -1 -1 -1 -1 4 0 -1 -2 -1 0 1 0 -1 2 0] [ 0 1 0 0 -1 -2 1 0 0 1 -1 0 4 -1 0 -2 -1 1 0 -1 0 -1] [-1 -2 1 0 1 -1 0 -1 1 1 0 -1 -1 4 0 1 0 0 0 2 -1 -1] [-1 -1 -1 1 -1 0 2 1 1 1 1 -2 0 0 4 1 0 -1 0 1 -2 0] [-2 -1 0 0 0 1 1 0 0 -1 2 -1 -2 1 1 4 1 -2 1 1 -1 0] [ 1 0 1 -1 2 1 -1 0 -1 -1 1 0 -1 0 0 1 4 0 1 0 0 1] [ 2 0 0 1 1 -1 -1 -1 1 0 -2 1 1 0 -1 -2 0 4 -1 0 1 1] [-2 0 1 -1 1 -1 0 0 0 0 1 0 0 0 0 1 1 -1 4 0 0 -1] [-1 -2 1 0 1 -1 0 -1 1 1 0 -1 -1 2 1 1 0 0 0 4 0 -1] [ 1 1 1 -1 1 0 -2 -1 -1 -1 -1 2 0 -1 -2 -1 0 1 0 0 4 0] [ 2 1 -1 0 0 2 -2 1 0 -1 -1 0 -1 -1 0 0 1 1 -1 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 425. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 1 2 -1 1 1 1 -1 0 1 -1 -1 1 -1 -1 1 1 1 1] [-1 4 1 -1 0 1 2 0 1 1 -1 -1 1 -1 0 0 -1 -1 -1 1 1 1] [ 1 1 4 0 2 2 1 -1 2 2 0 -2 1 0 -1 -1 0 -2 0 2 2 1] [ 2 -1 0 4 -1 1 -2 1 1 -1 -1 1 -1 -1 -1 0 1 -1 1 1 0 -1] [ 1 0 2 -1 4 0 0 0 0 1 0 -2 0 0 0 1 -1 0 -1 0 1 2] [ 2 1 2 1 0 4 0 0 2 1 0 -1 2 0 -1 -1 -1 -2 0 2 2 0] [-1 2 1 -2 0 0 4 0 0 2 0 0 2 0 1 0 -1 0 -1 0 1 1] [ 1 0 -1 1 0 0 0 4 -1 1 0 2 -1 0 0 1 -2 1 0 -1 -1 1] [ 1 1 2 1 0 2 0 -1 4 0 -1 -2 0 0 0 -1 0 -2 0 2 1 0] [ 1 1 2 -1 1 1 2 1 0 6 -1 -1 0 -1 0 -1 -1 0 1 0 1 1] [-1 -1 0 -1 0 0 0 0 -1 -1 4 0 0 2 -1 0 0 0 -1 -1 0 0] [ 0 -1 -2 1 -2 -1 0 2 -2 -1 0 6 1 -1 1 0 -1 0 0 0 -1 -1] [ 1 1 1 -1 0 2 2 -1 0 0 0 1 6 -1 1 0 -1 -2 0 2 2 1] [-1 -1 0 -1 0 0 0 0 0 -1 2 -1 -1 4 -1 0 0 1 -1 -1 0 0] [-1 0 -1 -1 0 -1 1 0 0 0 -1 1 1 -1 4 -1 -1 0 0 0 -1 0] [ 1 0 -1 0 1 -1 0 1 -1 -1 0 0 0 0 -1 4 0 1 -1 -1 0 2] [-1 -1 0 1 -1 -1 -1 -2 0 -1 0 -1 -1 0 -1 0 4 0 1 0 0 -1] [-1 -1 -2 -1 0 -2 0 1 -2 0 0 0 -2 1 0 1 0 4 0 -2 -1 0] [ 1 -1 0 1 -1 0 -1 0 0 1 -1 0 0 -1 0 -1 1 0 4 0 -1 0] [ 1 1 2 1 0 2 0 -1 2 0 -1 0 2 -1 0 -1 0 -2 0 4 2 0] [ 1 1 2 0 1 2 1 -1 1 1 0 -1 2 0 -1 0 0 -1 -1 2 4 0] [ 1 1 1 -1 2 0 1 1 0 1 0 -1 1 0 0 2 -1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 426. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 1 0 1 0 -1 -2 1 1 0 2 0 0 0 1 1 -2 1] [-2 4 -2 1 -1 1 0 -1 -1 1 2 -2 -1 -1 -2 0 0 1 -1 -1 0 0] [ 2 -2 4 -1 0 -1 -1 1 0 -1 -2 1 1 1 1 -1 1 1 0 1 0 0] [ 0 1 -1 4 1 0 1 1 1 2 1 -1 1 1 0 -1 0 1 -1 -1 -2 1] [ 1 -1 0 1 4 1 1 2 2 1 -1 1 2 0 2 0 1 0 0 1 -2 1] [ 1 1 -1 0 1 6 2 1 -2 -1 0 0 0 -2 -1 -1 -2 -1 2 -1 -1 1] [ 0 0 -1 1 1 2 4 0 0 -1 0 -1 0 -1 -1 0 -1 0 1 0 0 1] [ 1 -1 1 1 2 1 0 4 1 1 -1 0 2 0 2 0 1 1 -1 1 -1 1] [ 0 -1 0 1 2 -2 0 1 4 2 -1 1 2 0 1 1 1 0 -1 1 0 1] [-1 1 -1 2 1 -1 -1 1 2 4 1 0 1 0 1 0 1 0 -2 0 -1 0] [-2 2 -2 1 -1 0 0 -1 -1 1 4 -2 -2 0 -2 0 0 0 -1 -2 1 0] [ 1 -2 1 -1 1 0 -1 0 1 0 -2 4 1 1 1 -1 -1 -1 1 1 -1 0] [ 1 -1 1 1 2 0 0 2 2 1 -2 1 4 0 1 0 0 0 -1 1 -2 0] [ 0 -1 1 1 0 -2 -1 0 0 0 0 1 0 4 0 -2 1 0 0 0 -1 -1] [ 2 -2 1 0 2 -1 -1 2 1 1 -2 1 1 0 6 1 1 0 -1 2 -1 1] [ 0 0 -1 -1 0 -1 0 0 1 0 0 -1 0 -2 1 4 1 0 -1 1 1 1] [ 0 0 1 0 1 -2 -1 1 1 1 0 -1 0 1 1 1 4 1 -1 1 0 0] [ 0 1 1 1 0 -1 0 1 0 0 0 -1 0 0 0 0 1 4 -1 1 0 1] [ 1 -1 0 -1 0 2 1 -1 -1 -2 -1 1 -1 0 -1 -1 -1 -1 4 -1 0 0] [ 1 -1 1 -1 1 -1 0 1 1 0 -2 1 1 0 2 1 1 1 -1 4 0 0] [-2 0 0 -2 -2 -1 0 -1 0 -1 1 -1 -2 -1 -1 1 0 0 0 0 6 0] [ 1 0 0 1 1 1 1 1 1 0 0 0 0 -1 1 1 0 1 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 427. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 2 0 -1 -2 -1 0 -2 0 -1 1 1 -1 1 2 2 0 -2 1 -1] [ 1 4 0 2 1 -1 -2 0 1 -2 1 -1 1 0 -1 1 1 2 1 -2 -1 -2] [ 2 0 4 2 0 1 -1 -1 -1 -2 1 0 0 1 0 -1 1 2 -1 -2 0 0] [ 2 2 2 4 0 0 -2 0 1 -3 1 -1 1 1 -1 0 2 3 0 -3 0 -1] [ 0 1 0 0 4 1 -1 1 -1 -2 1 -1 -1 0 1 0 1 2 1 -2 -1 -2] [-1 -1 1 0 1 4 1 0 0 -1 1 -1 -2 -1 2 -2 0 1 -1 -1 -1 1] [-2 -2 -1 -2 -1 1 4 1 0 2 0 1 0 -1 0 0 -2 -2 0 2 -1 2] [-1 0 -1 0 1 0 1 4 0 -1 0 0 1 1 -1 0 1 1 2 -1 -1 -1] [ 0 1 -1 1 -1 0 0 0 4 -1 0 -1 1 0 -1 0 1 1 1 -1 0 0] [-2 -2 -2 -3 -2 -1 2 -1 -1 6 -2 1 0 -2 1 0 -3 -4 -1 4 0 2] [ 0 1 1 1 1 1 0 0 0 -2 4 1 0 -1 0 1 1 2 0 -2 0 0] [-1 -1 0 -1 -1 -1 1 0 -1 1 1 4 0 0 -1 1 -1 -2 -1 1 1 1] [ 1 1 0 1 -1 -2 0 1 1 0 0 0 4 0 -1 1 1 0 2 0 0 0] [ 1 0 1 1 0 -1 -1 1 0 -2 -1 0 0 4 -2 0 1 1 0 -1 1 -1] [-1 -1 0 -1 1 2 0 -1 -1 1 0 -1 -1 -2 4 -2 -1 -1 0 1 -1 1] [ 1 1 -1 0 0 -2 0 0 0 0 1 1 1 0 -2 4 1 0 0 0 1 0] [ 2 1 1 2 1 0 -2 1 1 -3 1 -1 1 1 -1 1 4 3 1 -3 1 -1] [ 2 2 2 3 2 1 -2 1 1 -4 2 -2 0 1 -1 0 3 6 1 -4 0 -2] [ 0 1 -1 0 1 -1 0 2 1 -1 0 -1 2 0 0 0 1 1 4 -1 -1 -1] [-2 -2 -2 -3 -2 -1 2 -1 -1 4 -2 1 0 -1 1 0 -3 -4 -1 6 1 2] [ 1 -1 0 0 -1 -1 -1 -1 0 0 0 1 0 1 -1 1 1 0 -1 1 4 0] [-1 -2 0 -1 -2 1 2 -1 0 2 0 1 0 -1 1 0 -1 -2 -1 2 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 428. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 0 0 -1 2 0 -2 -2 -1 2 -1 -1 2 0 -2 0 0 0] [-2 4 2 0 1 0 -1 1 -2 1 2 2 1 0 0 2 -1 0 0 0 -1 0] [-2 2 4 -1 0 1 0 0 -2 1 1 1 1 0 1 1 0 0 0 0 -1 1] [ 1 0 -1 4 1 -2 1 0 1 1 -1 -2 -1 -1 1 1 1 -1 -2 1 0 1] [-1 1 0 1 4 0 0 2 -1 -1 0 1 1 -2 0 1 0 1 -1 -1 0 0] [ 0 0 1 -2 0 4 0 1 -1 -1 0 2 0 2 0 -1 -1 2 -1 -2 0 1] [ 0 -1 0 1 0 0 4 1 1 0 -1 -2 -1 0 0 0 1 -1 1 1 -1 0] [-1 1 0 0 2 1 1 4 -1 0 1 2 0 -1 0 1 -1 1 0 -1 -1 0] [ 2 -2 -2 1 -1 -1 1 -1 4 -1 -1 -2 -1 1 -1 -1 1 -1 1 1 1 -1] [ 0 1 1 1 -1 -1 0 0 -1 4 0 -1 -1 -1 1 2 1 -1 -1 1 -1 1] [-2 2 1 -1 0 0 -1 1 -1 0 4 3 0 -1 1 1 -2 1 1 -1 -1 0] [-2 2 1 -2 1 2 -2 2 -2 -1 3 6 0 -1 0 1 -3 3 0 -3 -1 1] [-1 1 1 -1 1 0 -1 0 -1 -1 0 0 4 1 -1 0 0 -1 0 0 1 -1] [ 2 0 0 -1 -2 2 0 -1 1 -1 -1 -1 1 6 -2 -1 1 0 -1 0 1 -1] [-1 0 1 1 0 0 0 0 -1 1 1 0 -1 -2 4 0 -1 0 -1 0 0 2] [-1 2 1 1 1 -1 0 1 -1 2 1 1 0 -1 0 4 1 0 -1 0 -1 1] [ 2 -1 0 1 0 -1 1 -1 1 1 -2 -3 0 1 -1 1 4 -1 -1 1 0 0] [ 0 0 0 -1 1 2 -1 1 -1 -1 1 3 -1 0 0 0 -1 4 -1 -2 0 1] [-2 0 0 -2 -1 -1 1 0 1 -1 1 0 0 -1 -1 -1 -1 -1 6 1 0 -2] [ 0 0 0 1 -1 -2 1 -1 1 1 -1 -3 0 0 0 0 1 -2 1 4 1 -1] [ 0 -1 -1 0 0 0 -1 -1 1 -1 -1 -1 1 1 0 -1 0 0 0 1 4 -1] [ 0 0 1 1 0 1 0 0 -1 1 0 1 -1 -1 2 1 0 1 -2 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 429. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -2 2 1 0 1 -1 0 -1 1 -1 1 -1 -2 1 1 1 -1 -1 1] [ 2 4 0 -2 1 -1 0 -1 1 1 0 0 -1 0 0 -1 2 0 2 0 -1 0] [ 2 0 4 -1 1 0 1 1 -2 -1 0 1 -1 1 0 -1 0 0 -1 0 -1 2] [-2 -2 -1 4 -1 -1 -1 1 0 -1 0 0 0 0 1 0 -1 0 -2 0 2 0] [ 2 1 1 -1 4 -1 1 0 -1 0 0 2 1 2 1 -2 2 0 2 0 0 1] [ 1 -1 0 -1 -1 6 1 0 -2 0 0 -1 0 -1 -2 0 -2 0 -1 0 0 1] [ 0 0 1 -1 1 1 4 -2 -1 -1 0 0 0 0 1 -1 -1 0 1 0 0 2] [ 1 -1 1 1 0 0 -2 4 0 0 -1 1 -1 1 0 0 0 1 -2 -1 1 0] [-1 1 -2 0 -1 -2 -1 0 6 2 -2 1 0 1 0 0 1 2 2 -2 1 -1] [ 0 1 -1 -1 0 0 -1 0 2 4 -1 0 1 0 -1 0 2 1 2 -1 0 -1] [-1 0 0 0 0 0 0 -1 -2 -1 4 -1 1 0 1 1 0 -2 -1 2 -1 0] [ 1 0 1 0 2 -1 0 1 1 0 -1 4 0 2 0 -1 1 0 0 -1 1 1] [-1 -1 -1 0 1 0 0 -1 0 1 1 0 4 0 1 0 1 -1 2 1 0 0] [ 1 0 1 0 2 -1 0 1 1 0 0 2 0 4 0 -1 1 1 0 -1 1 1] [-1 0 0 1 1 -2 1 0 0 -1 1 0 1 0 4 -1 0 -1 1 1 0 1] [-2 -1 -1 0 -2 0 -1 0 0 0 1 -1 0 -1 -1 4 0 -1 -2 1 0 -1] [ 1 2 0 -1 2 -2 -1 0 1 2 0 1 1 1 0 0 4 0 2 0 0 0] [ 1 0 0 0 0 0 0 1 2 1 -2 0 -1 1 -1 -1 0 4 1 -2 1 0] [ 1 2 -1 -2 2 -1 1 -2 2 2 -1 0 2 0 1 -2 2 1 6 -1 -1 0] [-1 0 0 0 0 0 0 -1 -2 -1 2 -1 1 -1 1 1 0 -2 -1 4 0 0] [-1 -1 -1 2 0 0 0 1 1 0 -1 1 0 1 0 0 0 1 -1 0 4 0] [ 1 0 2 0 1 1 2 0 -1 -1 0 1 0 1 1 -1 0 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 430. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 0 1 1 1 -1 0 0 -1 2 -2 1 1 0 -2 1 -2 -1 0] [ 2 4 1 -1 -1 0 0 -1 0 -1 1 0 0 -2 0 -1 0 -2 0 -2 0 1] [ 0 1 4 -2 1 -1 -1 1 1 -1 -1 1 -2 0 1 -1 0 1 1 0 -1 0] [ 1 -1 -2 4 0 2 2 1 0 1 -1 -2 2 0 1 2 1 0 0 0 -1 0] [ 0 -1 1 0 4 -1 1 0 -1 1 0 0 0 1 1 1 1 2 -1 1 -1 -2] [ 1 0 -1 2 -1 4 2 1 1 -1 -1 -1 0 0 1 1 -1 -1 1 0 -1 1] [ 1 0 -1 2 1 2 4 0 -1 0 0 -2 1 0 0 2 0 0 0 0 0 -1] [ 1 -1 1 1 0 1 0 4 0 0 -1 -1 1 0 1 0 -1 0 1 0 -1 1] [-1 0 1 0 -1 1 -1 0 4 0 -1 0 -2 0 1 0 1 0 0 0 -1 1] [ 0 -1 -1 1 1 -1 0 0 0 4 0 -1 0 0 0 1 2 1 -1 0 0 -1] [ 0 1 -1 -1 0 -1 0 -1 -1 0 4 0 1 -1 -2 -1 0 -1 -2 -1 2 0] [-1 0 1 -2 0 -1 -2 -1 0 -1 0 4 -1 0 0 -2 0 1 1 0 0 0] [ 2 0 -2 2 0 0 1 1 -2 0 1 -1 6 0 -1 0 1 -1 -1 0 1 1] [-2 -2 0 0 1 0 0 0 0 0 -1 0 0 4 -1 0 0 2 -1 2 0 0] [ 1 0 1 1 1 1 0 1 1 0 -2 0 -1 -1 4 1 0 0 1 0 -2 0] [ 1 -1 -1 2 1 1 2 0 0 1 -1 -2 0 0 1 4 1 0 0 0 -1 -1] [ 0 0 0 1 1 -1 0 -1 1 2 0 0 1 0 0 1 4 1 -1 0 0 0] [-2 -2 1 0 2 -1 0 0 0 1 -1 1 -1 2 0 0 1 4 0 2 0 -1] [ 1 0 1 0 -1 1 0 1 0 -1 -2 1 -1 -1 1 0 -1 0 4 -1 -1 0] [-2 -2 0 0 1 0 0 0 0 0 -1 0 0 2 0 0 0 2 -1 4 1 0] [-1 0 -1 -1 -1 -1 0 -1 -1 0 2 0 1 0 -2 -1 0 0 -1 1 4 0] [ 0 1 0 0 -2 1 -1 1 1 -1 0 0 1 0 0 -1 0 -1 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 431. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 -1 -2 -1 0 -2 1 0 0 1 0 2 0 2 1 0 -2] [-2 6 2 -2 1 -2 2 2 -1 2 3 1 -1 1 0 1 -3 1 -2 0 -1 -1] [ 0 2 4 -1 0 -1 0 1 -1 0 2 1 1 -1 -1 1 -2 1 0 -1 -1 -2] [ 1 -2 -1 4 -1 1 0 -1 0 1 -2 -1 0 0 -1 0 2 0 2 -1 0 -1] [-2 1 0 -1 4 -1 1 0 0 0 1 -1 0 0 0 -1 -2 -1 -2 0 1 2] [-1 -2 -1 1 -1 6 -1 1 3 -1 1 1 2 -2 -1 -1 0 -1 1 -1 1 2] [-1 2 0 0 1 -1 4 -1 1 0 2 1 -1 1 -1 1 -1 1 0 -1 -1 0] [-2 2 1 -1 0 1 -1 4 0 1 2 0 0 0 -1 0 -2 0 -1 -1 0 1] [-1 -1 -1 0 0 3 1 0 4 -2 2 1 0 0 -1 -1 -1 -1 0 -1 1 1] [ 0 2 0 1 0 -1 0 1 -2 4 0 0 0 0 0 1 0 1 0 0 -1 -1] [-2 3 2 -2 1 1 2 2 2 0 6 2 0 -1 -1 1 -3 1 -1 -1 -1 0] [ 1 1 1 -1 -1 1 1 0 1 0 2 4 0 -1 0 1 -1 1 1 0 -1 0] [ 0 -1 1 0 0 2 -1 0 0 0 0 0 4 -1 -1 0 -1 0 1 -1 0 0] [ 0 1 -1 0 0 -2 1 0 0 0 -1 -1 -1 4 0 0 -1 0 0 0 0 -1] [ 1 0 -1 -1 0 -1 -1 -1 -1 0 -1 0 -1 0 4 -1 1 0 -1 2 0 0] [ 0 1 1 0 -1 -1 1 0 -1 1 1 1 0 0 -1 4 0 2 1 0 -2 -1] [ 2 -3 -2 2 -2 0 -1 -2 -1 0 -3 -1 -1 -1 1 0 6 1 1 1 0 0] [ 0 1 1 0 -1 -1 1 0 -1 1 1 1 0 0 0 2 1 4 1 0 -2 -1] [ 2 -2 0 2 -2 1 0 -1 0 0 -1 1 1 0 -1 1 1 1 4 -1 -1 -1] [ 1 0 -1 -1 0 -1 -1 -1 -1 0 -1 0 -1 0 2 0 1 0 -1 4 1 0] [ 0 -1 -1 0 1 1 -1 0 1 -1 -1 -1 0 0 0 -2 0 -2 -1 1 4 1] [-2 -1 -2 -1 2 2 0 1 1 -1 0 0 0 -1 0 -1 0 -1 -1 0 1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 432. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 1 1 2 0 0 0 0 0 0 0 -1 0 0 0 2 1] [ 1 4 -1 -2 0 1 -1 1 2 1 0 0 -1 0 1 0 -2 0 0 0 0 1] [ 2 -1 4 -1 0 -2 0 0 1 -1 0 0 1 0 -1 1 -1 0 -1 0 1 1] [-2 -2 -1 6 -2 2 1 0 0 1 -2 -1 1 -1 -1 1 1 2 -1 -2 0 1] [ 1 0 0 -2 4 -2 -1 0 -1 -1 0 -1 1 -1 -1 -2 1 0 1 0 1 -1] [-1 1 -2 2 -2 4 0 1 0 1 0 1 -1 1 1 0 -1 0 0 0 0 0] [ 1 -1 0 1 -1 0 4 -1 1 1 0 0 -1 0 1 1 1 0 1 0 1 0] [ 1 1 0 0 0 1 -1 4 1 1 1 0 1 0 -1 0 0 -1 -1 1 0 0] [ 2 2 1 0 -1 0 1 1 6 2 -1 -2 -1 -2 1 0 -1 1 0 -1 1 1] [ 0 1 -1 1 -1 1 1 1 2 4 -1 -1 0 -1 0 0 1 1 1 -1 0 0] [ 0 0 0 -2 0 0 0 1 -1 -1 4 1 0 2 1 0 0 -2 0 2 -1 -1] [ 0 0 0 -1 -1 1 0 0 -2 -1 1 4 -1 2 0 1 -1 -2 -1 1 0 0] [ 0 -1 1 1 1 -1 -1 1 -1 0 0 -1 4 -1 -1 0 1 0 0 0 0 1] [ 0 0 0 -1 -1 1 0 0 -2 -1 2 2 -1 4 0 1 -1 -1 -1 1 0 0] [ 0 1 -1 -1 -1 1 1 -1 1 0 1 0 -1 0 4 -1 -1 -1 2 1 -1 0] [ 0 0 1 1 -2 0 1 0 0 0 0 1 0 1 -1 4 0 0 -2 0 0 2] [-1 -2 -1 1 1 -1 1 0 -1 1 0 -1 1 -1 -1 0 4 0 1 0 0 -1] [ 0 0 0 2 0 0 0 -1 1 1 -2 -2 0 -1 -1 0 0 4 0 -2 1 1] [ 0 0 -1 -1 1 0 1 -1 0 1 0 -1 0 -1 2 -2 1 0 4 0 0 -1] [ 0 0 0 -2 0 0 0 1 -1 -1 2 1 0 1 1 0 0 -2 0 4 0 -1] [ 2 0 1 0 1 0 1 0 1 0 -1 0 0 0 -1 0 0 1 0 0 4 0] [ 1 1 1 1 -1 0 0 0 1 0 -1 0 1 0 0 2 -1 1 -1 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 433. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 -2 0 0 -2 1 0 2 -1 1 1 -1 0 -1 -2 0 1 1 -1] [-2 4 1 -2 0 0 0 2 -1 1 -2 0 0 -1 -1 -1 -1 0 1 -2 -1 -1] [-2 1 4 -2 2 0 1 1 -1 0 -1 1 1 -2 0 1 0 1 0 0 0 1] [ 2 -2 -2 4 0 1 -1 -1 1 0 2 -1 1 1 1 0 1 -1 -1 1 0 0] [-2 0 2 0 6 2 2 0 1 1 0 0 2 0 2 0 1 2 1 0 0 1] [ 0 0 0 1 2 4 1 -1 0 2 0 1 2 0 0 1 1 -1 0 1 -1 -1] [ 0 0 1 -1 2 1 4 -1 1 0 0 0 2 0 -1 1 -1 0 1 0 1 -1] [-2 2 1 -1 0 -1 -1 4 0 -1 -2 1 0 -1 1 0 -1 0 -1 -1 -1 0] [ 1 -1 -1 1 1 0 1 0 4 -1 1 0 1 2 1 0 -1 0 1 1 0 0] [ 0 1 0 0 1 2 0 -1 -1 4 0 0 0 0 0 -1 1 0 1 0 -1 0] [ 2 -2 -1 2 0 0 0 -2 1 0 4 -2 0 2 0 0 0 0 0 0 0 0] [-1 0 1 -1 0 1 0 1 0 0 -2 4 1 -1 1 1 1 0 -1 2 0 1] [ 1 0 1 1 2 2 2 0 1 0 0 1 6 0 0 2 0 -2 -1 1 0 -1] [ 1 -1 -2 1 0 0 0 -1 2 0 2 -1 0 4 0 0 0 0 0 0 0 0] [-1 -1 0 1 2 0 -1 1 1 0 0 1 0 0 4 -1 1 1 0 1 -1 2] [ 0 -1 1 0 0 1 1 0 0 -1 0 1 2 0 -1 4 1 -1 -2 1 0 0] [-1 -1 0 1 1 1 -1 -1 -1 1 0 1 0 0 1 1 4 1 -1 1 0 2] [-2 0 1 -1 2 -1 0 0 0 0 0 0 -2 0 1 -1 1 4 1 0 1 2] [ 0 1 0 -1 1 0 1 -1 1 1 0 -1 -1 0 0 -2 -1 1 4 -1 0 0] [ 1 -2 0 1 0 1 0 -1 1 0 0 2 1 0 1 1 1 0 -1 4 1 1] [ 1 -1 0 0 0 -1 1 -1 0 -1 0 0 0 0 -1 0 0 1 0 1 4 0] [-1 -1 1 0 1 -1 -1 0 0 0 0 1 -1 0 2 0 2 2 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 434. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 1 -1 -1 -1 -1 -1 -2 0 0 1 0 1 0 2 1 -1 1] [ 0 4 2 1 0 0 2 -1 1 -1 2 0 0 -1 -1 0 -1 2 -1 2 2 1] [ 1 2 4 0 0 0 1 0 0 0 2 0 -1 0 0 1 1 2 -1 1 2 1] [ 2 1 0 4 -2 0 0 -2 1 -1 0 -2 1 -1 1 0 -1 1 2 2 0 0] [-2 0 0 -2 4 -1 1 2 -1 1 1 2 -1 1 -2 -1 1 1 -1 0 1 1] [ 1 0 0 0 -1 4 0 -1 -1 1 -2 -1 -1 1 0 0 -1 0 1 1 -2 0] [-1 2 1 0 1 0 4 1 1 0 2 0 -1 1 -1 1 0 1 -1 0 2 0] [-1 -1 0 -2 2 -1 1 4 -1 0 0 1 0 2 0 1 1 0 -1 -1 0 0] [-1 1 0 1 -1 -1 1 -1 4 -1 2 0 1 -1 0 0 -1 0 -1 -1 2 0] [-1 -1 0 -1 1 1 0 0 -1 4 -1 1 -2 1 -1 1 1 0 0 -1 -1 -1] [-1 2 2 0 1 -2 2 0 2 -1 6 0 -1 0 -2 0 1 2 -1 1 3 0] [-2 0 0 -2 2 -1 0 1 0 1 0 4 -1 -1 -1 0 0 0 -2 -2 0 0] [ 0 0 -1 1 -1 -1 -1 0 1 -2 -1 -1 4 -1 2 -1 -1 0 0 1 1 1] [ 0 -1 0 -1 1 1 1 2 -1 1 0 -1 -1 4 -1 1 1 0 0 0 0 0] [ 1 -1 0 1 -2 0 -1 0 0 -1 -2 -1 2 -1 4 0 -1 -1 1 0 -1 0] [ 0 0 1 0 -1 0 1 1 0 1 0 0 -1 1 0 4 1 0 -1 -1 0 -1] [ 1 -1 1 -1 1 -1 0 1 -1 1 1 0 -1 1 -1 1 4 0 0 -1 1 1] [ 0 2 2 1 1 0 1 0 0 0 2 0 0 0 -1 0 0 4 0 3 2 1] [ 2 -1 -1 2 -1 1 -1 -1 -1 0 -1 -2 0 0 1 -1 0 0 4 1 -2 0] [ 1 2 1 2 0 1 0 -1 -1 -1 1 -2 1 0 0 -1 -1 3 1 6 1 1] [-1 2 2 0 1 -2 2 0 2 -1 3 0 1 0 -1 0 1 2 -2 1 6 1] [ 1 1 1 0 1 0 0 0 0 -1 0 0 1 0 0 -1 1 1 0 1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 435. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 2 -1 1 1 0 1 1 0 0 1 -1 -1 1 1 1 0 -1 2] [-1 4 1 -1 0 -1 0 0 0 1 1 -1 1 -1 -1 2 -2 -2 0 1 1 -2] [ 2 1 4 0 2 -2 1 1 -1 2 1 -1 1 -1 -2 1 -1 0 1 1 0 0] [-1 -1 0 4 -1 0 1 1 -1 1 0 0 -1 0 0 0 -1 0 -1 -1 1 -1] [ 2 0 2 -1 4 -2 0 1 1 0 1 0 1 1 -1 0 0 0 0 1 0 1] [-1 -1 -2 0 -2 4 -1 -1 0 0 -1 1 0 -1 1 -1 1 0 1 0 0 0] [ 1 0 1 1 0 -1 4 2 -2 1 2 0 -1 -1 0 1 0 0 0 -1 0 0] [ 1 0 1 1 1 -1 2 4 0 0 1 1 -1 0 -1 0 0 -1 1 -1 1 0] [ 0 0 -1 -1 1 0 -2 0 4 -2 0 1 0 1 -1 0 0 -1 -1 0 1 0] [ 1 1 2 1 0 0 1 0 -2 4 1 -1 0 -1 -1 0 -1 0 1 0 0 0] [ 1 1 1 0 1 -1 2 1 0 1 4 -1 -1 0 -1 1 -1 0 0 -1 0 -1] [ 0 -1 -1 0 0 1 0 1 1 -1 -1 4 1 0 1 0 2 -1 0 -1 1 1] [ 0 1 1 -1 1 0 -1 -1 0 0 -1 1 4 -1 0 1 0 0 0 2 0 0] [ 1 -1 -1 0 1 -1 -1 0 1 -1 0 0 -1 4 1 -2 1 1 -1 -1 -1 1] [-1 -1 -2 0 -1 1 0 -1 -1 -1 -1 1 0 1 4 0 1 0 0 0 0 1] [-1 2 1 0 0 -1 1 0 0 0 1 0 1 -2 0 4 -2 -2 0 1 2 -1] [ 1 -2 -1 -1 0 1 0 0 0 -1 -1 2 0 1 1 -2 4 1 0 -1 -1 2] [ 1 -2 0 0 0 0 0 -1 -1 0 0 -1 0 1 0 -2 1 4 0 0 -2 1] [ 1 0 1 -1 0 1 0 1 -1 1 0 0 0 -1 0 0 0 0 4 0 0 1] [ 0 1 1 -1 1 0 -1 -1 0 0 -1 -1 2 -1 0 1 -1 0 0 4 1 0] [-1 1 0 1 0 0 0 1 1 0 0 1 0 -1 0 2 -1 -2 0 1 4 -1] [ 2 -2 0 -1 1 0 0 0 0 0 -1 1 0 1 1 -1 2 1 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 436. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 -2 -1 1 -1 -1 1 0] [ 2 4 1 1 -1 -2 -1 0 -1 -1 0 -2 1 2 -2 -1 -2 0 -1 0 0 1] [ 2 1 4 2 -1 -2 0 0 -2 -1 0 0 -2 1 -2 0 0 0 0 0 1 -1] [ 2 1 2 4 0 0 -1 0 -1 1 0 -1 0 0 -2 0 1 0 0 0 1 -1] [ 1 -1 -1 0 4 2 -1 0 0 1 0 1 -1 0 2 -1 1 0 -1 0 1 0] [-1 -2 -2 0 2 6 -2 0 2 1 1 2 0 0 2 0 2 -1 1 1 -1 -1] [-1 -1 0 -1 -1 -2 4 -1 0 1 0 0 -1 -1 1 1 0 0 1 0 1 0] [ 1 0 0 0 0 0 -1 4 1 1 -2 0 1 0 -1 -1 -2 2 1 -2 -1 -1] [-1 -1 -2 -1 0 2 0 1 4 2 -1 1 0 0 2 1 0 1 1 -1 -2 -1] [ 1 -1 -1 1 1 1 1 1 2 6 0 0 1 -1 0 -1 0 0 1 0 0 -2] [-1 0 0 0 0 1 0 -2 -1 0 4 0 1 1 0 0 1 -2 0 2 0 0] [-1 -2 0 -1 1 2 0 0 1 0 0 4 -2 0 1 1 1 -1 0 0 0 -1] [-1 1 -2 0 -1 0 -1 1 0 1 1 -2 6 -1 -1 -1 -1 -1 1 1 -1 1] [ 1 2 1 0 0 0 -1 0 0 -1 1 0 -1 4 -1 0 -1 0 -1 0 0 0] [-1 -2 -2 -2 2 2 1 -1 2 0 0 1 -1 -1 6 0 1 0 1 0 -1 1] [-2 -1 0 0 -1 0 1 -1 1 -1 0 1 -1 0 0 4 2 0 0 0 0 0] [-1 -2 0 1 1 2 0 -2 0 0 1 1 -1 -1 1 2 4 -1 0 1 1 0] [ 1 0 0 0 0 -1 0 2 1 0 -2 -1 -1 0 0 0 -1 4 0 -2 0 0] [-1 -1 0 0 -1 1 1 1 1 1 0 0 1 -1 1 0 0 0 4 0 -1 -1] [-1 0 0 0 0 1 0 -2 -1 0 2 0 1 0 0 0 1 -2 0 4 1 0] [ 1 0 1 1 1 -1 1 -1 -2 0 0 0 -1 0 -1 0 1 0 -1 1 4 0] [ 0 1 -1 -1 0 -1 0 -1 -1 -2 0 -1 1 0 1 0 0 0 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 437. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 0 -1 -2 0 -2 -1 0 2 0 0 0 -1 1 0 1 0 0 0] [ 1 4 -1 1 1 1 -1 1 0 -1 -1 1 1 1 1 0 -1 1 1 -1 1 -1] [ 0 -1 4 -2 -2 0 -1 0 0 1 2 1 -2 -1 -1 1 -1 -1 0 1 0 2] [-2 1 -2 6 0 2 2 1 1 -1 -1 -2 2 1 -1 -1 1 1 -1 -1 1 -2] [ 0 1 -2 0 4 1 -1 -1 0 -1 -2 -1 0 0 0 0 -1 1 1 -1 -1 -1] [-1 1 0 2 1 4 -1 0 0 -1 0 0 -1 -1 -1 0 -1 1 1 -1 0 -1] [-2 -1 -1 2 -1 -1 6 -1 0 1 1 -2 2 0 -1 0 1 -2 -2 2 -1 0] [ 0 1 0 1 -1 0 -1 4 0 -1 0 1 1 2 0 -1 1 2 1 -2 1 -1] [-2 0 0 1 0 0 0 0 4 0 0 -1 1 0 1 0 -1 1 -1 -1 0 0] [-1 -1 1 -1 -1 -1 1 -1 0 4 0 -1 -1 -1 0 2 -1 -2 -2 1 1 2] [ 0 -1 2 -1 -2 0 1 0 0 0 4 0 0 0 -1 -1 1 -1 0 1 -1 0] [ 2 1 1 -2 -1 0 -2 1 -1 -1 0 4 -1 0 1 0 0 0 2 0 0 0] [ 0 1 -2 2 0 -1 2 1 1 -1 0 -1 4 2 0 -2 1 1 -1 -1 0 -1] [ 0 1 -1 1 0 -1 0 2 0 -1 0 0 2 4 0 -1 1 1 0 -1 1 -1] [ 0 1 -1 -1 0 -1 -1 0 1 0 -1 1 0 0 4 0 -1 0 1 0 0 0] [-1 0 1 -1 0 0 0 -1 0 2 -1 0 -2 -1 0 4 -1 -1 -1 1 1 2] [ 1 -1 -1 1 -1 -1 1 1 -1 -1 1 0 1 1 -1 -1 4 0 0 0 0 -1] [ 0 1 -1 1 1 1 -2 2 1 -2 -1 0 1 1 0 -1 0 4 1 -2 1 -1] [ 1 1 0 -1 1 1 -2 1 -1 -2 0 2 -1 0 1 -1 0 1 4 -1 -1 -1] [ 0 -1 1 -1 -1 -1 2 -2 -1 1 1 0 -1 -1 0 1 0 -2 -1 4 0 1] [ 0 1 0 1 -1 0 -1 1 0 1 -1 0 0 1 0 1 0 1 -1 0 4 0] [ 0 -1 2 -2 -1 -1 0 -1 0 2 0 0 -1 -1 0 2 -1 -1 -1 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 438. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 -2 -1 -1 -1 1 1 0 -1 1 -1 2 -1 2 0 0 0 1 0] [ 1 4 -1 1 0 1 1 -2 -1 2 1 1 2 1 2 1 -1 -1 1 1 -1 -1] [ 0 -1 4 -2 0 -1 0 -1 1 1 -2 0 -2 0 -1 0 0 2 -1 -2 1 -1] [-2 1 -2 6 1 3 2 0 0 -2 0 2 -1 2 -2 -1 -1 0 0 0 -2 -1] [-2 0 0 1 4 2 1 1 -2 0 0 0 1 0 -2 1 -2 0 1 0 -1 0] [-1 1 -1 3 2 6 3 -1 0 -2 0 2 1 2 -2 0 0 0 1 0 -3 1] [-1 1 0 2 1 3 4 -2 0 0 0 2 1 2 -2 1 -1 0 1 0 -2 1] [-1 -2 -1 0 1 -1 -2 4 -1 -1 0 -1 -1 -1 0 0 0 0 0 0 1 0] [ 1 -1 1 0 -2 0 0 -1 4 -2 0 1 -2 1 0 -1 1 0 -2 0 0 0] [ 1 2 1 -2 0 -2 0 -1 -2 6 -1 -1 2 -1 1 1 0 1 2 -1 1 -1] [ 0 1 -2 0 0 0 0 0 0 -1 4 0 2 1 2 1 -1 -2 0 2 -1 1] [-1 1 0 2 0 2 2 -1 1 -1 0 4 -1 2 -1 1 -1 -1 -1 0 -1 0] [ 1 2 -2 -1 1 1 1 -1 -2 2 2 -1 6 -1 2 1 0 -2 3 2 -1 2] [-1 1 0 2 0 2 2 -1 1 -1 1 2 -1 4 -1 1 -1 0 -1 0 -1 0] [ 2 2 -1 -2 -2 -2 -2 0 0 1 2 -1 2 -1 6 0 0 -2 1 2 0 0] [-1 1 0 -1 1 0 1 0 -1 1 1 1 1 1 0 4 -1 -1 0 1 0 1] [ 2 -1 0 -1 -2 0 -1 0 1 0 -1 -1 0 -1 0 -1 4 1 0 -1 1 1] [ 0 -1 2 0 0 0 0 0 0 1 -2 -1 -2 0 -2 -1 1 4 0 -2 1 -1] [ 0 1 -1 0 1 1 1 0 -2 2 0 -1 3 -1 1 0 0 0 4 0 -1 1] [ 0 1 -2 0 0 0 0 0 0 -1 2 0 2 0 2 1 -1 -2 0 4 0 1] [ 1 -1 1 -2 -1 -3 -2 1 0 1 -1 -1 -1 -1 0 0 1 1 -1 0 4 -1] [ 0 -1 -1 -1 0 1 1 0 0 -1 1 0 2 0 0 1 1 -1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 439. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 2 -1 1 -2 1 1 0 0 1 0 -1 -2 1 -1 -1 0 1] [ 1 4 -2 -1 -2 -1 0 2 -1 0 0 -1 1 -1 -1 0 -2 0 -1 0 -1 -1] [-1 -2 4 0 0 1 1 -2 0 0 1 0 -1 1 1 1 1 1 0 -1 1 -1] [ 1 -1 0 4 2 0 1 1 0 0 0 2 -1 2 1 1 0 0 0 0 0 1] [-1 -2 0 2 4 -1 0 -1 1 0 -1 2 -1 1 1 0 2 -1 0 1 0 0] [ 2 -1 1 0 -1 4 -1 0 -1 0 1 0 -1 1 1 0 -1 1 -1 -1 0 1] [-1 0 1 1 0 -1 4 -1 1 1 0 0 1 0 -1 0 1 0 1 0 -1 0] [ 1 2 -2 1 -1 0 -1 6 0 -1 -1 1 1 0 -1 2 -3 -1 0 1 1 1] [-2 -1 0 0 1 -1 1 0 4 -1 0 0 1 0 -1 0 2 0 2 0 0 0] [ 1 0 0 0 0 0 1 -1 -1 4 -1 -1 1 -1 0 -1 0 1 0 -1 -1 0] [ 1 0 1 0 -1 1 0 -1 0 -1 4 -1 -1 2 0 0 0 2 0 -2 0 -1] [ 0 -1 0 2 2 0 0 1 0 -1 -1 4 -1 1 0 1 0 -2 -1 1 1 1] [ 0 1 -1 -1 -1 -1 1 1 1 1 -1 -1 4 -2 -1 -1 0 -1 2 1 0 1] [ 1 -1 1 2 1 1 0 0 0 -1 2 1 -2 4 0 1 0 1 -1 -1 1 0] [ 0 -1 1 1 1 1 -1 -1 -1 0 0 0 -1 0 4 0 0 0 0 0 -1 0] [-1 0 1 1 0 0 0 2 0 -1 0 1 -1 1 0 4 0 0 -1 0 1 0] [-2 -2 1 0 2 -1 1 -3 2 0 0 0 0 0 0 0 4 0 1 0 0 0] [ 1 0 1 0 -1 1 0 -1 0 1 2 -2 -1 1 0 0 0 4 0 -2 0 -1] [-1 -1 0 0 0 -1 1 0 2 0 0 -1 2 -1 0 -1 1 0 4 0 0 1] [-1 0 -1 0 1 -1 0 1 0 -1 -2 1 1 -1 0 0 0 -2 0 4 1 1] [ 0 -1 1 0 0 0 -1 1 0 -1 0 1 0 1 -1 1 0 0 0 1 4 0] [ 1 -1 -1 1 0 1 0 1 0 0 -1 1 1 0 0 0 0 -1 1 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 440. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 0 0 1 1 1 1 -1 1 1 -2 -1 -1 1 -1 1] [ 1 4 -2 -2 0 1 -1 1 0 1 0 2 0 -1 0 2 -2 1 0 -1 0 -1] [-1 -2 4 0 -1 -1 1 -1 1 -1 0 -2 -1 1 1 0 2 1 -1 -1 1 -1] [-1 -2 0 6 2 -2 -1 0 1 -2 -1 0 -2 -1 -2 -1 0 -3 2 3 2 2] [ 1 0 -1 2 4 1 1 -1 -1 -1 1 0 -1 -2 -2 1 -1 -2 0 2 1 1] [ 2 1 -1 -2 1 4 1 0 -2 0 1 0 1 0 0 1 -2 1 -1 -1 -1 0] [ 1 -1 1 -1 1 1 4 -2 -1 -1 2 -1 0 1 0 1 0 1 -2 -1 0 0] [ 0 1 -1 0 -1 0 -2 4 0 0 0 1 1 0 1 0 -1 0 2 0 -1 1] [ 0 0 1 1 -1 -2 -1 0 4 1 0 0 0 -1 1 -1 1 -1 0 1 0 0] [ 1 1 -1 -2 -1 0 -1 0 1 4 0 1 1 -1 1 -1 0 -1 -1 1 -1 -1] [ 1 0 0 -1 1 1 2 0 0 0 4 -1 1 0 0 0 0 1 0 -1 -1 0] [ 1 2 -2 0 0 0 -1 1 0 1 -1 4 -1 0 0 1 -2 0 0 0 0 0] [ 1 0 -1 -2 -1 1 0 1 0 1 1 -1 4 0 1 -1 0 0 0 0 -2 1] [-1 -1 1 -1 -2 0 1 0 -1 -1 0 0 0 4 1 0 0 3 0 -3 0 -1] [ 1 0 1 -2 -2 0 0 1 1 1 0 0 1 1 4 0 0 0 -1 -1 -1 0] [ 1 2 0 -1 1 1 1 0 -1 -1 0 1 -1 0 0 4 -1 1 -1 -1 1 0] [-2 -2 2 0 -1 -2 0 -1 1 0 0 -2 0 0 0 -1 4 0 0 0 0 0] [-1 1 1 -3 -2 1 1 0 -1 -1 1 0 0 3 0 1 0 6 0 -4 0 -2] [-1 0 -1 2 0 -1 -2 2 0 -1 0 0 0 0 -1 -1 0 0 4 0 0 1] [ 1 -1 -1 3 2 -1 -1 0 1 1 -1 0 0 -3 -1 -1 0 -4 0 6 1 2] [-1 0 1 2 1 -1 0 -1 0 -1 -1 0 -2 0 -1 1 0 0 0 1 4 -1] [ 1 -1 -1 2 1 0 0 1 0 -1 0 0 1 -1 0 0 0 -2 1 2 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 441. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 -1 1 1 1 2 -1 -1 1 2 0 -1 1 -1 -1 0 -2 0] [ 1 4 0 2 -1 -2 0 -1 -1 2 0 0 2 -1 -1 -2 1 -2 -2 0 1 0] [-1 0 4 -1 2 -1 -2 0 1 -2 -1 2 0 -1 1 -1 -2 1 0 -1 1 1] [ 1 2 -1 4 -2 -2 1 0 -2 1 0 0 2 1 0 -1 2 0 -2 1 -1 -1] [-2 -1 2 -2 6 -1 -2 -1 1 -3 0 0 0 -3 -1 1 -3 2 1 1 3 0] [-1 -2 -1 -2 -1 6 2 -1 1 0 2 0 -2 -1 -1 2 -1 -1 2 0 1 -1] [ 1 0 -2 1 -2 2 4 -1 -1 2 1 -1 0 1 -1 0 1 -1 -1 0 -1 -2] [ 1 -1 0 0 -1 -1 -1 4 1 -1 -1 0 -1 1 2 0 1 1 1 -1 -1 0] [ 1 -1 1 -2 1 1 -1 1 4 0 -1 0 -1 0 0 1 -1 0 1 0 0 0] [ 2 2 -2 1 -3 0 2 -1 0 6 -1 -2 0 2 -2 0 3 -3 -2 0 -2 0] [-1 0 -1 0 0 2 1 -1 -1 -1 4 1 0 -1 0 1 0 0 1 1 1 -1] [-1 0 2 0 0 0 -1 0 0 -2 1 4 0 0 2 0 -1 1 1 0 0 0] [ 1 2 0 2 0 -2 0 -1 -1 0 0 0 4 -1 0 -2 0 0 -2 0 0 0] [ 2 -1 -1 1 -3 -1 1 1 0 2 -1 0 -1 6 1 0 2 0 -1 0 -4 1] [ 0 -1 1 0 -1 -1 -1 2 0 -2 0 2 0 1 4 -1 0 1 1 -1 -1 0] [-1 -2 -1 -1 1 2 0 0 1 0 1 0 -2 0 -1 4 0 1 2 2 0 -1] [ 1 1 -2 2 -3 -1 1 1 -1 3 0 -1 0 2 0 0 4 -1 -1 0 -2 0] [-1 -2 1 0 2 -1 -1 1 0 -3 0 1 0 0 1 1 -1 4 1 1 0 0] [-1 -2 0 -2 1 2 -1 1 1 -2 1 1 -2 -1 1 2 -1 1 4 0 1 0] [ 0 0 -1 1 1 0 0 -1 0 0 1 0 0 0 -1 2 0 1 0 4 1 -1] [-2 1 1 -1 3 1 -1 -1 0 -2 1 0 0 -4 -1 0 -2 0 1 1 6 -1] [ 0 0 1 -1 0 -1 -2 0 0 0 -1 0 0 1 0 -1 0 0 0 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 442. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 1 -1 -1 2 1 -2 -1 -1 1 1 0 1 -2 -1 0 1 -1 -1] [ 2 4 -2 2 1 1 1 1 1 0 0 -2 1 -1 1 1 -2 0 -1 0 -1 -2] [-1 -2 4 -2 -1 -1 -2 1 0 1 1 2 -1 0 -1 -1 1 -1 1 1 1 0] [ 2 2 -2 4 0 1 1 0 0 -1 -1 -2 0 0 0 0 -1 -1 -1 1 0 -1] [ 1 1 -1 0 4 0 1 -1 -1 0 1 -2 2 -1 2 2 -2 1 -1 -1 -2 -1] [-1 1 -1 1 0 4 1 -2 -1 0 0 0 -1 -2 0 1 0 1 0 -1 1 0] [-1 1 -2 1 1 1 6 -3 -2 1 -1 -1 2 0 2 -1 1 1 -2 -1 -2 0] [ 2 1 1 0 -1 -2 -3 6 2 0 0 -1 0 0 -2 0 -1 -1 2 1 0 0] [ 1 1 0 0 -1 -1 -2 2 4 -1 0 -1 -1 0 0 1 0 0 1 0 1 -1] [-2 0 1 -1 0 0 1 0 -1 4 2 0 0 -1 0 -1 1 0 0 0 0 0] [-1 0 1 -1 1 0 -1 0 0 2 4 -1 0 -1 0 0 0 1 1 -1 0 -1] [-1 -2 2 -2 -2 0 -1 -1 -1 0 -1 6 -2 2 -1 -1 1 0 0 0 1 1] [ 1 1 -1 0 2 -1 2 0 -1 0 0 -2 4 0 1 0 -1 0 -1 0 -2 0] [ 1 -1 0 0 -1 -2 0 0 0 -1 -1 2 0 4 0 -1 0 0 0 0 0 0] [ 0 1 -1 0 2 0 2 -2 0 0 0 -1 1 0 4 1 -1 0 -2 -1 -1 -1] [ 1 1 -1 0 2 1 -1 0 1 -1 0 -1 0 -1 1 4 -1 1 0 -1 0 0] [-2 -2 1 -1 -2 0 1 -1 0 1 0 1 -1 0 -1 -1 4 0 1 0 1 2] [-1 0 -1 -1 1 1 1 -1 0 0 1 0 0 0 0 1 0 4 1 -2 0 0] [ 0 -1 1 -1 -1 0 -2 2 1 0 1 0 -1 0 -2 0 1 1 4 -1 1 1] [ 1 0 1 1 -1 -1 -1 1 0 0 -1 0 0 0 -1 -1 0 -2 -1 4 1 0] [-1 -1 1 0 -2 1 -2 0 1 0 0 1 -2 0 -1 0 1 0 1 1 4 0] [-1 -2 0 -1 -1 0 0 0 -1 0 -1 1 0 0 -1 0 2 0 1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 443. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 1 0 0 0 0 -2 -2 -1 -1 0 -1 2 0 1 0 1 1] [-1 4 -1 -2 -1 -2 0 1 -1 1 1 1 2 -1 0 0 0 1 1 -1 -2 -2] [-2 -1 6 -2 -1 2 -2 -2 1 -2 1 1 -1 3 1 -1 -1 -1 0 1 1 -1] [ 2 -2 -2 6 0 1 1 0 2 0 0 0 0 1 -2 2 -1 1 -1 -1 0 1] [ 2 -1 -1 0 4 0 0 1 -1 1 -2 -2 0 -2 1 0 1 0 0 0 0 0] [ 1 -2 2 1 0 4 0 -1 2 -2 0 0 -1 2 1 -1 0 0 1 0 1 1] [ 0 0 -2 1 0 0 4 0 1 1 0 0 0 -2 -1 1 -1 1 0 -1 0 1] [ 0 1 -2 0 1 -1 0 4 0 0 0 0 1 0 0 1 1 0 -1 0 -1 -1] [ 0 -1 1 2 -1 2 1 0 4 -2 0 1 0 1 0 1 -1 1 -1 -1 0 0] [ 0 1 -2 0 1 -2 1 0 -2 4 0 0 1 -2 0 0 -1 0 0 0 -1 0] [-2 1 1 0 -2 0 0 0 0 0 4 1 1 2 -1 0 -1 1 1 -1 -1 -1] [-2 1 1 0 -2 0 0 0 1 0 1 4 0 2 0 1 -2 1 -1 -1 -1 -1] [-1 2 -1 0 0 -1 0 1 0 1 1 0 4 -1 0 1 -1 1 0 -1 -2 -1] [-1 -1 3 1 -2 2 -2 0 1 -2 2 2 -1 6 0 0 -1 0 0 0 1 -1] [ 0 0 1 -2 1 1 -1 0 0 0 -1 0 0 0 4 -1 0 -1 0 0 0 0] [-1 0 -1 2 0 -1 1 1 1 0 0 1 1 0 -1 4 -1 1 -2 -1 -1 0] [ 2 0 -1 -1 1 0 -1 1 -1 -1 -1 -2 -1 -1 0 -1 4 -1 1 1 1 1] [ 0 1 -1 1 0 0 1 0 1 0 1 1 1 0 -1 1 -1 4 1 -2 -1 -1] [ 1 1 0 -1 0 1 0 -1 -1 0 1 -1 0 0 0 -2 1 1 4 -1 0 0] [ 0 -1 1 -1 0 0 -1 0 -1 0 -1 -1 -1 0 0 -1 1 -2 -1 4 2 1] [ 1 -2 1 0 0 1 0 -1 0 -1 -1 -1 -2 1 0 -1 1 -1 0 2 4 1] [ 1 -2 -1 1 0 1 1 -1 0 0 -1 -1 -1 -1 0 0 1 -1 0 1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 444. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 -2 0 2 0 -1 2 0 1 1 0 -1 -1 0 0 1 0 0 1] [ 1 4 1 0 0 1 1 -1 -1 -1 1 2 0 -1 1 -1 -1 1 0 -1 1 -1] [ 1 1 4 1 -1 -1 2 0 1 -1 1 2 1 1 1 0 -2 -1 1 -1 1 1] [ 1 0 1 4 -1 -2 0 1 -1 2 1 0 -1 1 0 -1 1 -2 2 0 1 1] [-2 0 -1 -1 4 0 -1 1 0 -1 0 0 -1 0 1 1 -1 0 0 0 0 -1] [ 0 1 -1 -2 0 4 1 -2 -1 0 0 0 1 -2 1 1 -1 2 -2 1 0 -2] [ 2 1 2 0 -1 1 4 -1 -1 1 0 1 1 -1 0 0 -1 0 0 0 0 0] [ 0 -1 0 1 1 -2 -1 4 0 1 -1 0 0 1 -1 -1 0 -2 2 -1 -1 1] [-1 -1 1 -1 0 -1 -1 0 4 -1 0 0 1 2 0 0 -1 0 0 -1 0 0] [ 2 -1 -1 2 -1 0 1 1 -1 6 0 -1 1 0 -1 -2 1 0 2 0 0 0] [ 0 1 1 1 0 0 0 -1 0 0 4 0 -1 1 0 0 0 1 1 1 1 -1] [ 1 2 2 0 0 0 1 0 0 -1 0 4 0 -1 1 0 -2 0 0 -2 0 0] [ 1 0 1 -1 -1 1 1 0 1 1 -1 0 4 0 1 -1 -1 1 0 0 1 1] [ 0 -1 1 1 0 -2 -1 1 2 0 1 -1 0 4 -1 0 0 -1 1 0 1 1] [-1 1 1 0 1 1 0 -1 0 -1 0 1 1 -1 4 0 -2 0 0 0 1 0] [-1 -1 0 -1 1 1 0 -1 0 -2 0 0 -1 0 0 4 0 0 -2 1 0 0] [ 0 -1 -2 1 -1 -1 -1 0 -1 1 0 -2 -1 0 -2 0 4 0 0 1 0 1] [ 0 1 -1 -2 0 2 0 -2 0 0 1 0 1 -1 0 0 0 4 -1 1 1 -1] [ 1 0 1 2 0 -2 0 2 0 2 1 0 0 1 0 -2 0 -1 4 -1 0 1] [ 0 -1 -1 0 0 1 0 -1 -1 0 1 -2 0 0 0 1 1 1 -1 4 1 0] [ 0 1 1 1 0 0 0 -1 0 0 1 0 1 1 1 0 0 1 0 1 4 0] [ 1 -1 1 1 -1 -2 0 1 0 0 -1 0 1 1 0 0 1 -1 1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 445. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 -1 1 2 -2 2 1 2 1 0 -2 1 1 2 1 2 -2 -1 1] [-1 4 0 0 -1 1 -1 0 1 1 1 -1 0 1 -2 1 -1 -1 -2 1 2 1] [-2 0 4 0 1 -1 -1 0 0 -1 -1 -1 1 2 -1 -1 -1 1 -1 2 1 0] [ 1 0 0 4 1 -1 2 -1 2 2 0 -1 0 -1 -1 -1 1 1 1 -1 1 -1] [-1 -1 1 1 4 -2 0 1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 -2] [ 1 1 -1 -1 -2 4 -1 -1 1 0 1 0 1 0 0 1 -1 1 -1 0 0 1] [ 2 -1 -1 2 0 -1 4 0 2 2 1 1 0 -2 1 0 2 0 1 -2 -1 0] [-2 0 0 -1 1 -1 0 4 -2 0 -1 0 0 0 0 -1 -1 -1 -1 0 0 0] [ 2 1 0 2 0 1 2 -2 6 3 1 0 0 -1 -1 2 2 0 0 -1 1 1] [ 1 1 -1 2 0 0 2 0 3 4 1 0 -1 -1 -1 1 1 0 0 -1 1 0] [ 2 1 -1 0 -1 1 1 -1 1 1 4 1 1 0 0 1 0 0 0 0 0 1] [ 1 -1 -1 -1 -1 0 1 0 0 0 1 4 -1 -1 2 0 2 0 1 -1 -2 1] [ 0 0 1 0 0 1 0 0 0 -1 1 -1 4 0 0 -1 -1 1 0 0 0 0] [-2 1 2 -1 0 0 -2 0 -1 -1 0 -1 0 4 -2 0 -2 0 -2 2 1 0] [ 1 -2 -1 -1 0 0 1 0 -1 -1 0 2 0 -2 4 0 1 0 1 -1 -2 0] [ 1 1 -1 -1 0 1 0 -1 2 1 1 0 -1 0 0 4 1 -1 -1 0 0 1] [ 2 -1 -1 1 0 -1 2 -1 2 1 0 2 -1 -2 1 1 4 0 2 -2 -1 1] [ 1 -1 1 1 0 1 0 -1 0 0 0 0 1 0 0 -1 0 4 1 0 0 0] [ 2 -2 -1 1 0 -1 1 -1 0 0 0 1 0 -2 1 -1 2 1 4 -2 -1 0] [-2 1 2 -1 0 0 -2 0 -1 -1 0 -1 0 2 -1 0 -2 0 -2 4 2 0] [-1 2 1 1 0 0 -1 0 1 1 0 -2 0 1 -2 0 -1 0 -1 2 4 0] [ 1 1 0 -1 -2 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 446. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 -1 1 2 2 0 -1 1 2 2 1 -1 2 0 1 0 -2 1] [ 1 4 0 -2 -1 0 2 0 1 1 0 0 2 1 -1 1 1 -1 -1 1 0 1] [-1 0 4 1 -2 0 1 0 1 1 0 0 -2 1 -2 1 -2 1 -2 -1 -1 0] [-1 -2 1 4 -1 1 0 -1 -1 1 1 -1 -1 0 -1 0 -2 1 1 0 -1 -1] [ 2 -1 -2 -1 6 -2 -1 0 1 0 -1 2 1 1 3 0 0 1 2 0 -2 -1] [-1 0 0 1 -2 4 0 0 -1 -1 0 -2 1 -2 -1 0 -1 0 0 1 0 -1] [ 1 2 1 0 -1 0 4 1 2 0 -1 0 2 2 -1 1 0 -1 -1 0 -1 0] [ 2 0 0 -1 0 0 1 4 2 -2 -2 0 0 1 1 -1 2 0 -1 0 0 1] [ 2 1 1 -1 1 -1 2 2 4 -1 -1 1 0 2 0 1 0 0 -1 -1 -2 0] [ 0 1 1 1 0 -1 0 -2 -1 4 1 0 0 1 -1 0 -1 1 0 0 -1 0] [-1 0 0 1 -1 0 -1 -2 -1 1 4 -1 -1 -1 -2 0 -1 -1 1 -1 0 1] [ 1 0 0 -1 2 -2 0 0 1 0 -1 4 -1 1 1 1 1 1 0 -1 -1 0] [ 2 2 -2 -1 1 1 2 0 0 0 -1 -1 6 1 1 0 1 -2 1 2 -1 0] [ 2 1 1 0 1 -2 2 1 2 1 -1 1 1 4 0 0 0 0 0 0 -2 1] [ 1 -1 -2 -1 3 -1 -1 1 0 -1 -2 1 1 0 4 0 1 0 1 1 0 -1] [-1 1 1 0 0 0 1 -1 1 0 0 1 0 0 0 4 -2 0 -1 0 0 -1] [ 2 1 -2 -2 0 -1 0 2 0 -1 -1 1 1 0 1 -2 6 0 0 0 2 1] [ 0 -1 1 1 1 0 -1 0 0 1 -1 1 -2 0 0 0 0 4 0 0 0 -1] [ 1 -1 -2 1 2 0 -1 -1 -1 0 1 0 1 0 1 -1 0 0 4 0 -1 0] [ 0 1 -1 0 0 1 0 0 -1 0 -1 -1 2 0 1 0 0 0 0 4 1 0] [-2 0 -1 -1 -2 0 -1 0 -2 -1 0 -1 -1 -2 0 0 2 0 -1 1 6 0] [ 1 1 0 -1 -1 -1 0 1 0 0 1 0 0 1 -1 -1 1 -1 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 447. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 1 1 1 -1 1 -1 1 -2 1 0 -1 -1 1 -2 -1] [ 1 4 -1 0 -1 0 1 -1 0 -1 1 1 -1 1 1 0 -1 1 -2 -1 0 1] [-1 -1 4 -1 0 1 0 0 1 0 0 -1 1 -1 -1 1 -1 0 0 0 1 0] [-1 0 -1 4 -1 -2 0 1 0 0 -1 1 0 1 0 1 -1 0 0 0 2 1] [ 1 -1 0 -1 4 0 1 0 -1 -1 0 0 1 0 -1 0 2 1 1 -1 -2 -1] [ 1 0 1 -2 0 4 1 1 1 1 1 -1 1 -1 -1 0 0 -1 -1 1 -2 -1] [ 2 1 0 0 1 1 4 0 0 -1 0 0 0 0 -1 2 -1 1 -1 -1 -2 0] [ 1 -1 0 1 0 1 0 4 2 1 0 0 0 0 -2 1 -1 -1 -1 1 0 0] [ 1 0 1 0 -1 1 0 2 4 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 1 1] [ 1 -1 0 0 -1 1 -1 1 1 4 -1 0 0 1 -1 0 0 -2 0 2 0 -1] [-1 1 0 -1 0 1 0 0 -1 -1 4 -1 0 -1 1 0 -1 1 0 -1 0 1] [ 1 1 -1 1 0 -1 0 0 -1 0 -1 4 -1 2 -1 0 0 -1 -1 0 0 0] [-1 -1 1 0 1 1 0 0 -1 0 0 -1 4 -1 0 0 1 0 0 0 0 -2] [ 1 1 -1 1 0 -1 0 0 -1 1 -1 2 -1 4 -1 0 0 0 -1 0 0 0] [-2 1 -1 0 -1 -1 -1 -2 -1 -1 1 -1 0 -1 4 -2 0 1 1 -1 0 1] [ 1 0 1 1 0 0 2 1 1 0 0 0 0 0 -2 4 -1 0 -1 0 1 1] [ 0 -1 -1 -1 2 0 -1 -1 -1 0 -1 0 1 0 0 -1 4 0 1 0 -1 -1] [-1 1 0 0 1 -1 1 -1 -1 -2 1 -1 0 0 1 0 0 4 0 -2 0 1] [-1 -2 0 0 1 -1 -1 -1 -1 0 0 -1 0 -1 1 -1 1 0 4 0 0 0] [ 1 -1 0 0 -1 1 -1 1 1 2 -1 0 0 0 -1 0 0 -2 0 4 1 -1] [-2 0 1 2 -2 -2 -2 0 1 0 0 0 0 0 0 1 -1 0 0 1 6 1] [-1 1 0 1 -1 -1 0 0 1 -1 1 0 -2 0 1 1 -1 1 0 -1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 448. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 0 -1 1 1 1 -2 -1 -1 -1 -1 1 1 1 1 -1 0 0] [ 1 4 0 2 0 0 -1 2 1 0 -1 -1 -1 -1 -2 -1 2 1 0 -1 1 -1] [-1 0 4 -2 0 1 -1 1 1 1 2 2 0 0 1 1 1 -2 -2 2 1 1] [ 2 2 -2 6 -2 -2 -2 0 2 -1 -3 -2 1 1 -2 -1 2 2 1 -2 1 -2] [-1 0 0 -2 4 0 1 0 0 -1 2 0 0 0 1 0 -1 0 -1 0 -1 -1] [ 0 0 1 -2 0 4 -1 0 -1 2 1 1 0 0 1 1 0 -1 0 1 -1 1] [-1 -1 -1 -2 1 -1 4 0 -1 -1 0 0 -1 -1 0 -1 -1 0 0 0 -1 1] [ 1 2 1 0 0 0 0 4 0 1 -1 -1 -1 -1 0 0 2 1 0 -1 0 0] [ 1 1 1 2 0 -1 -1 0 4 0 0 0 1 1 0 0 2 0 -1 0 1 -1] [ 1 0 1 -1 -1 2 -1 1 0 4 -1 0 0 0 1 2 1 0 1 0 -1 0] [-2 -1 2 -3 2 1 0 -1 0 -1 6 3 1 1 2 -1 -2 -3 -3 3 0 0] [-1 -1 2 -2 0 1 0 -1 0 0 3 4 0 1 1 0 -1 -2 -2 2 0 1] [-1 -1 0 1 0 0 -1 -1 1 0 1 0 4 2 1 0 0 -1 -1 0 0 -1] [-1 -1 0 1 0 0 -1 -1 1 0 1 1 2 4 1 0 0 0 -1 0 0 -1] [-1 -2 1 -2 1 1 0 0 0 1 2 1 1 1 4 0 -1 -1 0 1 -2 0] [ 1 -1 1 -1 0 1 -1 0 0 2 -1 0 0 0 0 4 1 0 0 0 0 1] [ 1 2 1 2 -1 0 -1 2 2 1 -2 -1 0 0 -1 1 4 1 0 -1 1 0] [ 1 1 -2 2 0 -1 0 1 0 0 -3 -2 -1 0 -1 0 1 4 2 -2 0 -1] [ 1 0 -2 1 -1 0 0 0 -1 1 -3 -2 -1 -1 0 0 0 2 4 -2 -1 0] [-1 -1 2 -2 0 1 0 -1 0 0 3 2 0 0 1 0 -1 -2 -2 4 1 1] [ 0 1 1 1 -1 -1 -1 0 1 -1 0 0 0 0 -2 0 1 0 -1 1 4 0] [ 0 -1 1 -2 -1 1 1 0 -1 0 0 1 -1 -1 0 1 0 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 449. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 1 2 -1 -1 -1 -1 1 0 0 1 -1 1 1 -1 1 1 0 1] [ 2 4 0 -2 1 2 -1 -1 0 0 1 1 0 0 -1 0 2 0 2 0 0 1] [ 2 0 4 1 -1 1 -1 -1 0 0 -1 0 -1 0 0 0 0 -1 -1 1 1 1] [-1 -2 1 4 -1 0 0 -1 0 1 -2 0 0 -1 1 -1 -1 -1 -2 1 0 -1] [ 1 1 -1 -1 4 1 -1 1 0 1 0 0 2 -1 -2 -1 -1 1 0 -1 -2 0] [ 2 2 1 0 1 4 0 0 -1 0 -1 0 1 -1 0 0 0 0 1 0 -1 1] [-1 -1 -1 0 -1 0 4 0 -1 -1 1 0 -1 0 1 2 0 0 0 0 1 -1] [-1 -1 -1 -1 1 0 0 4 1 1 -1 -1 1 0 0 0 -1 1 0 -1 -1 1] [-1 0 0 0 0 -1 -1 1 4 1 -1 -1 0 1 1 0 -1 0 0 0 0 1] [-1 0 0 1 1 0 -1 1 1 4 -2 0 1 -1 -1 -2 0 1 -2 -1 -1 0] [ 1 1 -1 -2 0 -1 1 -1 -1 -2 6 -1 -2 1 0 1 1 1 1 -1 2 -2] [ 0 1 0 0 0 0 0 -1 -1 0 -1 4 -1 0 -1 0 1 0 0 0 0 0] [ 0 0 -1 0 2 1 -1 1 0 1 -2 -1 4 -1 -1 -1 -1 0 0 0 -2 1] [ 1 0 0 -1 -1 -1 0 0 1 -1 1 0 -1 4 1 2 0 0 1 0 1 0] [-1 -1 0 1 -2 0 1 0 1 -1 0 -1 -1 1 4 1 -1 -1 0 0 1 0] [ 1 0 0 -1 -1 0 2 0 0 -2 1 0 -1 2 1 4 1 -1 1 1 1 1] [ 1 2 0 -1 -1 0 0 -1 -1 0 1 1 -1 0 -1 1 4 -1 1 1 1 1] [-1 0 -1 -1 1 0 0 1 0 1 1 0 0 0 -1 -1 -1 4 0 -2 0 -1] [ 1 2 -1 -2 0 1 0 0 0 -2 1 0 0 1 0 1 1 0 4 0 0 1] [ 1 0 1 1 -1 0 0 -1 0 -1 -1 0 0 0 0 1 1 -2 0 4 1 1] [ 0 0 1 0 -2 -1 1 -1 0 -1 2 0 -2 1 1 1 1 0 0 1 4 -1] [ 1 1 1 -1 0 1 -1 1 1 0 -2 0 1 0 0 1 1 -1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 450. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 1 0 0 -1 1 -2 -2 1 2 0 2 0 1 1 1 1 0 1] [ 0 6 3 -2 -3 0 1 2 -2 3 -1 0 1 1 2 -3 -2 -2 1 2 -1 2] [ 1 3 6 -3 -2 2 2 2 -1 1 1 1 0 1 0 -2 -1 -1 2 2 -1 0] [ 0 -2 -3 4 2 -1 -2 -2 1 -2 0 -1 0 0 1 1 1 0 -2 -2 0 1] [ 1 -3 -2 2 4 -1 -1 -1 1 -3 0 0 0 -1 0 1 1 2 0 -1 1 -1] [ 0 0 2 -1 -1 4 2 0 -1 0 0 1 0 1 -2 -1 1 -1 1 1 -1 1] [ 0 1 2 -2 -1 2 4 0 -2 0 -1 0 0 1 -2 -1 -1 -1 2 2 -1 1] [-1 2 2 -2 -1 0 0 4 -1 2 2 1 0 -1 -1 -2 -1 0 1 0 1 -2] [ 1 -2 -1 1 1 -1 -2 -1 4 0 1 0 0 -1 0 1 2 2 0 0 1 -1] [-2 3 1 -2 -3 0 0 2 0 6 1 0 -1 -1 -1 -2 0 -1 0 2 1 -1] [-2 -1 1 0 0 0 -1 2 1 1 6 -1 -2 0 -2 0 -1 1 0 0 0 -2] [ 1 0 1 -1 0 1 0 1 0 0 -1 4 0 0 -1 -1 2 1 1 1 0 0] [ 2 1 0 0 0 0 0 0 0 -1 -2 0 4 -1 2 -1 0 0 0 -1 0 1] [ 0 1 1 0 -1 1 1 -1 -1 -1 0 0 -1 4 0 0 -1 -1 0 1 -2 3] [ 2 2 0 1 0 -2 -2 -1 0 -1 -2 -1 2 0 6 0 -1 -1 -1 -1 0 1] [ 0 -3 -2 1 1 -1 -1 -2 1 -2 0 -1 -1 0 0 4 0 1 -1 -1 0 -1] [ 1 -2 -1 1 1 1 -1 -1 2 0 -1 2 0 -1 -1 0 4 1 0 0 1 0] [ 1 -2 -1 0 2 -1 -1 0 2 -1 1 1 0 -1 -1 1 1 4 1 1 1 -1] [ 1 1 2 -2 0 1 2 1 0 0 0 1 0 0 -1 -1 0 1 4 2 0 0] [ 1 2 2 -2 -1 1 2 0 0 2 0 1 -1 1 -1 -1 0 1 2 6 0 1] [ 0 -1 -1 0 1 -1 -1 1 1 1 0 0 0 -2 0 0 1 1 0 0 4 -3] [ 1 2 0 1 -1 1 1 -2 -1 -1 -2 0 1 3 1 -1 0 -1 0 1 -3 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 451. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 1 2 0 -2 1 1 1 -1 2 0 2 -1 -1 1 -2 1] [ 1 4 -2 2 1 -1 2 2 1 -2 -1 2 1 1 -1 0 0 -2 -2 2 -2 0] [-1 -2 4 -2 0 1 -1 -1 0 0 1 -2 -1 0 0 1 0 2 1 -2 0 1] [ 1 2 -2 4 1 -1 1 0 1 -2 0 2 1 0 1 -1 0 -2 -2 2 0 -1] [ 2 1 0 1 4 -1 2 1 0 -2 1 0 0 1 2 0 1 0 -2 0 -2 0] [-2 -1 1 -1 -1 4 -2 0 -1 0 1 -1 -1 -1 -2 1 0 0 0 -1 0 0] [ 1 2 -1 1 2 -2 6 0 2 1 -2 1 1 2 2 1 -1 -1 -1 1 0 1] [ 2 2 -1 0 1 0 0 6 -2 -3 0 0 2 -2 0 -1 2 0 -1 0 -4 2] [ 0 1 0 1 0 -1 2 -2 4 0 -1 1 -1 1 1 0 -1 -1 -1 1 1 0] [-2 -2 0 -2 -2 0 1 -3 0 6 -2 -1 0 1 0 1 -2 1 2 -1 3 -1] [ 1 -1 1 0 1 1 -2 0 -1 -2 4 0 0 -1 0 0 2 0 0 0 -1 0] [ 1 2 -2 2 0 -1 1 0 1 -1 0 4 0 0 0 0 1 -2 -1 2 0 0] [ 1 1 -1 1 0 -1 1 2 -1 0 0 0 4 0 1 0 0 0 0 0 -1 0] [-1 1 0 0 1 -1 2 -2 1 1 -1 0 0 4 0 1 -2 0 0 0 1 -1] [ 2 -1 0 1 2 -2 2 0 1 0 0 0 1 0 6 0 0 0 0 0 1 1] [ 0 0 1 -1 0 1 1 -1 0 1 0 0 0 1 0 4 -1 -1 1 0 1 1] [ 2 0 0 0 1 0 -1 2 -1 -2 2 1 0 -2 0 -1 4 0 -1 0 -2 1] [-1 -2 2 -2 0 0 -1 0 -1 1 0 -2 0 0 0 -1 0 4 1 -2 0 0] [-1 -2 1 -2 -2 0 -1 -1 -1 2 0 -1 0 0 0 1 -1 1 4 -1 2 1] [ 1 2 -2 2 0 -1 1 0 1 -1 0 2 0 0 0 0 0 -2 -1 4 1 0] [-2 -2 0 0 -2 0 0 -4 1 3 -1 0 -1 1 1 1 -2 0 2 1 6 -1] [ 1 0 1 -1 0 0 1 2 0 -1 0 0 0 -1 1 1 1 0 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 452. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 1 -1 2 -1 -2 1 -1 0 0 0 -1 -1 -1 0 1 0 -1] [-2 4 -2 2 0 -1 0 0 0 2 -1 1 1 0 -1 0 2 1 0 -1 1 0] [ 2 -2 4 -2 -1 0 0 0 -1 0 0 0 -1 1 1 1 -1 0 -1 0 1 1] [-2 2 -2 4 2 -1 1 0 0 1 0 0 1 0 -1 0 0 0 1 0 -1 0] [-2 0 -1 2 4 -1 2 -1 1 1 0 -1 -1 1 1 0 -1 0 1 0 -1 0] [ 1 -1 0 -1 -1 4 0 2 1 0 2 0 -1 -2 1 -1 -1 -2 1 2 0 -2] [-1 0 0 1 2 0 4 1 1 0 0 -1 -1 0 1 0 -1 0 1 0 0 -1] [ 2 0 0 0 -1 2 1 6 1 -1 2 0 1 -1 -1 0 -2 -2 2 2 1 -2] [-1 0 -1 0 1 1 1 1 4 -1 0 0 0 0 0 0 0 0 2 0 0 -1] [-2 2 0 1 1 0 0 -1 -1 6 1 0 0 -1 1 0 1 1 -1 -1 1 1] [ 1 -1 0 0 0 2 0 2 0 1 4 0 0 -2 1 0 -2 -2 1 2 -1 -1] [-1 1 0 0 -1 0 -1 0 0 0 0 4 0 0 -1 2 0 -1 -1 0 1 1] [ 0 1 -1 1 -1 -1 -1 1 0 0 0 0 4 -1 -1 0 1 0 1 0 0 1] [ 0 0 1 0 1 -2 0 -1 0 -1 -2 0 -1 4 -1 1 0 1 -1 -1 1 1] [ 0 -1 1 -1 1 1 1 -1 0 1 1 -1 -1 -1 4 -1 -1 -1 1 1 -1 0] [-1 0 1 0 0 -1 0 0 0 0 0 2 0 1 -1 4 0 0 -1 0 1 2] [-1 2 -1 0 -1 -1 -1 -2 0 1 -2 0 1 0 -1 0 4 2 -1 -2 1 1] [-1 1 0 0 0 -2 0 -2 0 1 -2 -1 0 1 -1 0 2 4 -1 -2 1 1] [ 0 0 -1 1 1 1 1 2 2 -1 1 -1 1 -1 1 -1 -1 -1 4 1 -1 -1] [ 1 -1 0 0 0 2 0 2 0 -1 2 0 0 -1 1 0 -2 -2 1 4 0 -1] [ 0 1 1 -1 -1 0 0 1 0 1 -1 1 0 1 -1 1 1 1 -1 0 4 0] [-1 0 1 0 0 -2 -1 -2 -1 1 -1 1 1 1 0 2 1 1 -1 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 453. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -2 1 1 2 -1 0 0 0 1 1 2 -1 -1 0 -2 -1 -1] [ 0 4 -1 -1 1 1 1 1 -1 1 0 0 0 -1 1 0 0 -2 -1 1 2 -1] [ 1 -1 4 0 0 0 0 1 2 -1 1 0 -1 -1 0 1 1 -1 1 0 0 1] [ 2 -1 0 4 -2 -2 0 1 1 0 -1 0 1 1 -1 1 -2 1 -1 -2 0 -1] [-2 1 0 -2 4 2 -1 0 -2 0 1 1 -1 -1 0 -1 1 -1 0 2 0 1] [-2 1 0 -2 2 4 -1 -1 -2 0 1 -1 0 -1 1 -1 1 -1 0 2 0 1] [ 1 1 0 0 -1 -1 4 2 0 0 -1 0 1 1 0 2 -1 -2 0 -1 2 -2] [ 1 1 1 1 0 -1 2 6 2 -1 -2 -1 2 1 -2 0 -2 -3 -2 -1 2 0] [ 2 -1 2 1 -2 -2 0 2 6 -2 0 0 0 1 -1 0 0 -1 -1 -2 0 0] [-1 1 -1 0 0 0 0 -1 -2 4 0 0 -1 -2 -1 -1 1 0 1 0 2 -1] [ 0 0 1 -1 1 1 -1 -2 0 0 4 0 -1 0 1 1 1 1 2 1 0 0] [ 0 0 0 0 1 -1 0 -1 0 0 0 4 -2 0 1 0 0 0 0 0 0 0] [ 0 0 -1 1 -1 0 1 2 0 -1 -1 -2 4 1 -1 0 -2 0 -1 0 1 -1] [ 1 -1 -1 1 -1 -1 1 1 1 -2 0 0 1 4 0 1 -2 1 -1 -1 -1 0] [ 1 1 0 -1 0 1 0 -2 -1 -1 1 1 -1 0 4 1 0 0 1 1 -1 0] [ 2 0 1 1 -1 -1 2 0 0 -1 1 0 0 1 1 4 -1 0 1 -1 0 -1] [-1 0 1 -2 1 1 -1 -2 0 1 1 0 -2 -2 0 -1 4 0 1 1 0 1] [-1 -2 -1 1 -1 -1 -2 -3 -1 0 1 0 0 1 0 0 0 6 1 1 -1 1] [ 0 -1 1 -1 0 0 0 -2 -1 1 2 0 -1 -1 1 1 1 1 4 0 0 0] [-2 1 0 -2 2 2 -1 -1 -2 0 1 0 0 -1 1 -1 1 1 0 4 1 1] [-1 2 0 0 0 0 2 2 0 2 0 0 1 -1 -1 0 0 -1 0 1 6 -2] [-1 -1 1 -1 1 1 -2 0 0 -1 0 0 -1 0 0 -1 1 1 0 1 -2 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 454. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 1 -2 -1 1 0 0 2 -1 1 1 1 1 -1 1 -1 0 1] [ 1 4 0 -2 -2 2 0 -1 2 0 1 0 -1 0 0 0 1 -1 -1 -1 1 -1] [-1 0 4 1 -1 1 2 -1 0 0 1 0 2 -1 -1 -2 -2 0 -2 2 1 0] [-1 -2 1 4 0 -1 1 1 0 -1 -1 -1 1 1 1 -1 -1 0 1 1 -1 1] [-1 -2 -1 0 4 -1 0 0 -1 1 -1 -1 1 0 0 0 -1 0 0 1 -1 -1] [ 1 2 1 -1 -1 4 -1 0 0 1 0 1 0 0 0 0 0 -2 -1 0 0 0] [-2 0 2 1 0 -1 4 -1 1 -1 0 -1 1 -1 -1 -1 -1 0 -2 1 0 -1] [-1 -1 -1 1 0 0 -1 4 -2 1 -1 -1 0 1 1 1 0 0 1 0 -1 1] [ 1 2 0 0 -1 0 1 -2 4 -1 1 0 0 1 1 -1 0 0 0 0 1 0] [ 0 0 0 -1 1 1 -1 1 -1 4 0 0 1 -1 1 1 0 0 0 1 0 0] [ 0 1 1 -1 -1 0 0 -1 1 0 4 -1 0 0 0 -2 0 1 0 0 1 -1] [ 2 0 0 -1 -1 1 -1 -1 0 0 -1 4 0 0 0 1 0 0 0 0 0 1] [-1 -1 2 1 1 0 1 0 0 1 0 0 4 0 1 -1 -2 0 -1 2 0 0] [ 1 0 -1 1 0 0 -1 1 1 -1 0 0 0 4 2 0 -1 0 1 0 0 1] [ 1 0 -1 1 0 0 -1 1 1 1 0 0 1 2 4 0 0 0 1 0 0 1] [ 1 0 -2 -1 0 0 -1 1 -1 1 -2 1 -1 0 0 4 1 -1 1 -1 -1 1] [ 1 1 -2 -1 -1 0 -1 0 0 0 0 0 -2 -1 0 1 4 0 1 -2 0 0] [-1 -1 0 0 0 -2 0 0 0 0 1 0 0 0 0 -1 0 4 0 0 1 1] [ 1 -1 -2 1 0 -1 -2 1 0 0 0 0 -1 1 1 1 1 0 4 -1 -1 1] [-1 -1 2 1 1 0 1 0 0 1 0 0 2 0 0 -1 -2 0 -1 4 1 0] [ 0 1 1 -1 -1 0 0 -1 1 0 1 0 0 0 0 -1 0 1 -1 1 4 0] [ 1 -1 0 1 -1 0 -1 1 0 0 -1 1 0 1 1 1 0 1 1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 455. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 0 -1 -1 -1 2 2 -2 0 2 0 -1 0 1 -2 0 -2 1 -1] [-2 4 -2 -2 -1 -1 2 2 -2 -1 2 0 -1 0 -1 -1 0 0 0 2 -1 2] [ 2 -2 4 2 -1 0 -2 -1 1 2 -2 -1 0 1 -1 1 1 0 1 -2 1 -1] [ 2 -2 2 4 -1 1 -1 0 2 2 -1 0 1 0 0 1 1 -1 0 -1 0 -2] [ 0 -1 -1 -1 4 0 -1 -2 -1 -2 0 1 1 0 2 -1 -2 0 -1 0 0 -1] [-1 -1 0 1 0 4 -1 0 0 1 1 1 -1 0 1 2 -1 0 -1 1 0 0] [-1 2 -2 -1 -1 -1 4 1 0 -1 1 1 0 -1 -1 -1 0 0 1 1 0 1] [-1 2 -1 0 -2 0 1 6 1 2 1 1 0 -2 0 -1 -1 0 1 1 -1 1] [ 2 -2 1 2 -1 0 0 1 6 3 -2 -1 1 -2 -1 1 0 0 0 -2 -1 0] [ 2 -1 2 2 -2 1 -1 2 3 6 -2 0 0 0 -2 1 1 0 1 -2 0 0] [-2 2 -2 -1 0 1 1 1 -2 -2 4 1 -1 -1 1 0 -1 0 -1 2 -1 1] [ 0 0 -1 0 1 1 1 1 -1 0 1 4 0 0 1 0 -2 -1 1 1 0 0] [ 2 -1 0 1 1 -1 0 0 1 0 -1 0 4 -1 0 -1 0 -2 -1 -1 1 -1] [ 0 0 1 0 0 0 -1 -2 -2 0 -1 0 -1 4 -1 1 1 0 0 0 1 0] [-1 -1 -1 0 2 1 -1 0 -1 -2 1 1 0 -1 4 -1 -2 0 0 1 -1 -1] [ 0 -1 1 1 -1 2 -1 -1 1 1 0 0 -1 1 -1 4 1 0 -1 0 0 1] [ 1 0 1 1 -2 -1 0 -1 0 1 -1 -2 0 1 -2 1 4 0 0 -1 1 0] [-2 0 0 -1 0 0 0 0 0 0 0 -1 -2 0 0 0 0 4 1 0 0 0] [ 0 0 1 0 -1 -1 1 1 0 1 -1 1 -1 0 0 -1 0 1 4 -1 0 0] [-2 2 -2 -1 0 1 1 1 -2 -2 2 1 -1 0 1 0 -1 0 -1 4 0 1] [ 1 -1 1 0 0 0 0 -1 -1 0 -1 0 1 1 -1 0 1 0 0 0 4 -1] [-1 2 -1 -2 -1 0 1 1 0 0 1 0 -1 0 -1 1 0 0 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 456. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 2 0 1 -2 -1 -1 -2 -1 -2 0 2 -1 2 1 -1 2] [ 1 4 -1 -2 0 1 1 0 0 0 1 1 1 1 -2 -1 0 0 -1 0 0 1] [-1 -1 4 0 1 0 0 0 1 1 0 0 -1 0 -1 2 -1 -1 1 1 2 0] [-1 -2 0 4 0 -1 0 -1 0 1 1 -1 -1 -1 2 0 1 0 1 0 0 0] [ 1 0 1 0 4 1 2 1 2 0 -1 -2 0 -2 -2 2 2 -2 1 2 1 1] [ 2 1 0 -1 1 4 2 -1 0 -1 0 -1 -1 -1 -3 1 1 0 2 0 1 2] [ 2 1 0 0 2 2 4 -1 1 -1 -1 -1 0 -1 -2 0 2 -1 2 1 0 2] [ 0 0 0 -1 1 -1 -1 4 0 0 0 -1 1 -1 0 1 0 0 -2 0 0 0] [ 1 0 1 0 2 0 1 0 4 -1 0 -1 0 0 0 1 1 -2 1 2 0 1] [-2 0 1 1 0 -1 -1 0 -1 4 1 0 1 0 0 0 0 1 0 -1 1 -1] [-1 1 0 1 -1 0 -1 0 0 1 4 0 1 0 1 0 0 0 0 0 1 1] [-1 1 0 -1 -2 -1 -1 -1 -1 0 0 4 0 2 0 -1 -2 0 -2 -1 0 -1] [-2 1 -1 -1 0 -1 0 1 0 1 1 0 6 0 2 -1 0 0 -1 0 0 0] [-1 1 0 -1 -2 -1 -1 -1 0 0 0 2 0 4 0 -1 -2 1 -2 -1 0 -1] [-2 -2 -1 2 -2 -3 -2 0 0 0 1 0 2 0 6 -2 -1 0 0 0 -2 -1] [ 0 -1 2 0 2 1 0 1 1 0 0 -1 -1 -1 -2 4 1 -1 0 1 2 1] [ 2 0 -1 1 2 1 2 0 1 0 0 -2 0 -2 -1 1 4 -1 2 1 0 2] [-1 0 -1 0 -2 0 -1 0 -2 1 0 0 0 1 0 -1 -1 4 -1 -2 0 -1] [ 2 -1 1 1 1 2 2 -2 1 0 0 -2 -1 -2 0 0 2 -1 6 1 0 2] [ 1 0 1 0 2 0 1 0 2 -1 0 -1 0 -1 0 1 1 -2 1 4 1 1] [-1 0 2 0 1 1 0 0 0 1 1 0 0 0 -2 2 0 0 0 1 4 0] [ 2 1 0 0 1 2 2 0 1 -1 1 -1 0 -1 -1 1 2 -1 2 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 457. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 1 2 -2 1 0 -1 1 -2 -2 -1 1 1 1 1 -1 -1 1] [ 1 4 -2 -1 1 0 1 0 1 1 -1 0 -2 1 -2 0 2 -1 0 -1 1 0] [-1 -2 4 2 -2 0 -1 0 -1 -1 1 -1 1 1 2 -1 0 1 -1 1 -1 0] [-2 -1 2 6 0 -1 0 2 -2 -2 -1 -1 0 3 -1 0 -1 0 0 -1 0 -2] [ 1 1 -2 0 6 -2 2 -2 -2 1 -1 2 -3 0 -3 1 0 1 1 -1 -1 -1] [ 1 0 0 -1 -2 4 1 0 1 -1 1 0 0 -2 2 1 1 0 1 1 0 2] [ 2 1 -1 0 2 1 4 -1 -1 0 -1 1 -3 -1 -2 2 0 1 2 -1 -1 1] [-2 0 0 2 -2 0 -1 4 1 0 -1 -1 2 2 0 0 -1 -1 -1 -1 1 0] [ 1 1 -1 -2 -2 1 -1 1 4 0 0 -1 1 0 1 -1 1 -1 0 0 1 1] [ 0 1 -1 -2 1 -1 0 0 0 4 0 1 -1 -1 -1 1 -1 1 0 0 -1 0] [-1 -1 1 -1 -1 1 -1 -1 0 0 4 -1 1 0 3 0 0 0 0 2 0 0] [ 1 0 -1 -1 2 0 1 -1 -1 1 -1 4 -1 -2 -2 0 0 2 0 -1 -1 1] [-2 -2 1 0 -3 0 -3 2 1 -1 1 -1 6 0 3 -2 0 -2 -1 1 2 0] [-2 1 1 3 0 -2 -1 2 0 -1 0 -2 0 6 -1 -1 0 -1 -2 -1 1 -1] [-1 -2 2 -1 -3 2 -2 0 1 -1 3 -2 3 -1 6 0 0 -1 0 3 1 0] [ 1 0 -1 0 1 1 2 0 -1 1 0 0 -2 -1 0 4 -2 1 1 0 -1 0] [ 1 2 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 -2 4 -1 0 0 1 1] [ 1 -1 1 0 1 0 1 -1 -1 1 0 2 -2 -1 -1 1 -1 4 0 0 -2 1] [ 1 0 -1 0 1 1 2 -1 0 0 0 0 -1 -2 0 1 0 0 4 0 0 0] [-1 -1 1 -1 -1 1 -1 -1 0 0 2 -1 1 -1 3 0 0 0 0 4 1 0] [-1 1 -1 0 -1 0 -1 1 1 -1 0 -1 2 1 1 -1 1 -2 0 1 4 -1] [ 1 0 0 -2 -1 2 1 0 1 0 0 1 0 -1 0 0 1 1 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 458. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 -1 1 0 1 0 2 -1 -2 0 1 1 0 0 1 -2 -2 -1 1] [ 0 4 -1 0 1 1 0 -1 2 0 0 1 1 -1 -2 -2 2 2 1 1 2 2] [ 1 -1 4 -1 -2 0 1 2 0 -1 1 0 1 -1 2 2 -2 1 -2 0 -2 -2] [ 0 0 -1 4 2 -1 -2 -1 -1 0 -2 0 0 0 1 1 -1 1 1 0 -1 -1] [-1 1 -2 2 4 -1 -2 -2 0 0 -1 1 -1 -1 -1 -1 1 0 2 1 1 1] [ 1 1 0 -1 -1 4 0 -1 2 2 1 -1 -1 0 -2 -1 1 -1 -1 -1 2 0] [ 0 0 1 -2 -2 0 4 1 1 -1 2 0 0 -1 1 -1 1 1 0 0 -1 1] [ 1 -1 2 -1 -2 -1 1 4 0 -1 0 -1 2 0 2 2 -2 1 -1 -1 -2 -1] [ 0 2 0 -1 0 2 1 0 4 1 2 0 0 -2 -2 -2 2 0 0 0 2 0] [ 2 0 -1 0 0 2 -1 -1 1 4 0 -2 -1 1 -1 -1 1 -1 -1 -2 1 0] [-1 0 1 -2 -1 1 2 0 2 0 4 1 -1 -1 0 -1 1 0 0 1 0 -1] [-2 1 0 0 1 -1 0 -1 0 -2 1 4 0 -1 -1 -1 0 1 1 2 0 0] [ 0 1 1 0 -1 -1 0 2 0 -1 -1 0 4 0 1 1 -1 2 0 0 -1 0] [ 1 -1 -1 0 -1 0 -1 0 -2 1 -1 -1 0 4 0 0 0 -1 -1 -1 0 1] [ 1 -2 2 1 -1 -2 1 2 -2 -1 0 -1 1 0 6 2 -3 2 0 0 -4 -1] [ 0 -2 2 1 -1 -1 -1 2 -2 -1 -1 -1 1 0 2 6 -4 1 0 0 -3 -3] [ 0 2 -2 -1 1 1 1 -2 2 1 1 0 -1 0 -3 -4 6 0 0 0 3 3] [ 1 2 1 1 0 -1 1 1 0 -1 0 1 2 -1 2 1 0 6 1 1 -2 1] [-2 1 -2 1 2 -1 0 -1 0 -1 0 1 0 -1 0 0 0 1 4 1 0 1] [-2 1 0 0 1 -1 0 -1 0 -2 1 2 0 -1 0 0 0 1 1 4 1 0] [-1 2 -2 -1 1 2 -1 -2 2 1 0 0 -1 0 -4 -3 3 -2 0 1 6 1] [ 1 2 -2 -1 1 0 1 -1 0 0 -1 0 0 1 -1 -3 3 1 1 0 1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 459. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 1 0 2 2 1 1 0 1 0 -1 -1 1 1 -1 -1 -1 -1] [ 2 4 1 0 -1 0 1 0 2 1 1 -1 1 -1 -2 -2 0 1 0 1 -1 0] [ 0 1 4 0 0 -1 0 -2 0 -1 0 -1 0 1 0 -2 -1 0 1 -1 0 0] [ 0 0 0 4 1 0 -1 1 0 -1 0 1 2 -1 0 -1 -1 2 2 -1 2 -1] [ 0 -1 0 1 4 -1 -2 2 1 1 -1 0 1 -1 1 0 0 1 1 0 0 -2] [ 1 0 -1 0 -1 4 1 2 0 -1 0 1 0 0 -1 0 1 0 -1 -2 0 1] [ 0 1 0 -1 -2 1 4 -2 -1 0 1 1 -1 -1 -2 1 1 -1 -2 0 0 2] [ 2 0 -2 1 2 2 -2 6 2 0 -1 0 1 -1 0 0 0 1 0 0 0 -2] [ 2 2 0 0 1 0 -1 2 4 2 1 0 1 -1 -1 -2 1 1 0 1 -1 -1] [ 1 1 -1 -1 1 -1 0 0 2 4 1 0 1 -1 0 0 2 1 -1 1 -2 0] [ 1 1 0 0 -1 0 1 -1 1 1 4 0 1 1 0 0 1 1 0 1 -1 1] [ 0 -1 -1 1 0 1 1 0 0 0 0 4 -1 -1 0 0 1 0 -1 -2 1 0] [ 1 1 0 2 1 0 -1 1 1 1 1 -1 4 0 0 -1 0 2 1 0 0 0] [ 0 -1 1 -1 -1 0 -1 -1 -1 -1 1 -1 0 4 2 0 0 0 0 -1 -1 1] [-1 -2 0 0 1 -1 -2 0 -1 0 0 0 0 2 4 0 0 0 1 -1 0 -1] [-1 -2 -2 -1 0 0 1 0 -2 0 0 0 -1 0 0 4 0 -1 -1 1 0 1] [ 1 0 -1 -1 0 1 1 0 1 2 1 1 0 0 0 0 4 1 -2 -1 -1 1] [ 1 1 0 2 1 0 -1 1 1 1 1 0 2 0 0 -1 1 4 1 0 0 0] [-1 0 1 2 1 -1 -2 0 0 -1 0 -1 1 0 1 -1 -2 1 4 0 1 -1] [-1 1 -1 -1 0 -2 0 0 1 1 1 -2 0 -1 -1 1 -1 0 0 6 0 0] [-1 -1 0 2 0 0 0 0 -1 -2 -1 1 0 -1 0 0 -1 0 1 0 4 -1] [-1 0 0 -1 -2 1 2 -2 -1 0 1 0 0 1 -1 1 1 0 -1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 460. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 0 1 1 1 2 0 0 -1 -2 -1 -2 0 -2 0 -1 0 -2 -1] [-1 4 0 2 1 -2 -2 -2 -1 1 1 -1 2 -1 -1 -1 1 1 1 -1 0 -1] [-2 0 4 -1 -1 -1 -1 0 -2 0 1 0 0 0 2 -1 2 1 0 -1 2 1] [-1 2 -1 6 -1 -1 -2 -2 -1 1 1 -2 0 -2 1 2 2 1 2 -1 -1 -2] [ 0 1 -1 -1 4 -1 1 -1 0 -1 0 0 0 0 0 0 -1 0 -1 0 -1 -1] [ 1 -2 -1 -1 -1 4 1 2 1 -1 0 1 0 1 -1 0 -2 0 0 0 1 1] [ 1 -2 -1 -2 1 1 4 0 2 0 -1 1 0 1 -1 1 -2 -1 -2 1 -1 1] [ 1 -2 0 -2 -1 2 0 4 1 -1 0 1 0 1 -1 0 -1 0 -1 0 1 1] [ 2 -1 -2 -1 0 1 2 1 4 0 -1 1 0 1 -2 1 -2 -1 -1 1 -2 1] [ 0 1 0 1 -1 -1 0 -1 0 4 -1 -1 1 0 0 0 1 1 0 -1 1 0] [ 0 1 1 1 0 0 -1 0 -1 -1 4 -1 -1 -2 0 0 1 2 0 -2 -1 -1] [-1 -1 0 -2 0 1 1 1 1 -1 -1 4 1 2 -1 0 -1 -2 -1 1 1 2] [-2 2 0 0 0 0 0 0 0 1 -1 1 6 1 -1 -1 0 -1 1 1 2 2] [-1 -1 0 -2 0 1 1 1 1 0 -2 2 1 4 -1 0 -1 -1 -1 1 2 2] [-2 -1 2 1 0 -1 -1 -1 -2 0 0 -1 -1 -1 6 0 2 0 2 0 0 0] [ 0 -1 -1 2 0 0 1 0 1 0 0 0 -1 0 0 4 1 0 -1 0 -1 0] [-2 1 2 2 -1 -2 -2 -1 -2 1 1 -1 0 -1 2 1 4 1 1 -1 1 0] [ 0 1 1 1 0 0 -1 0 -1 1 2 -2 -1 -1 0 0 1 4 0 -2 1 -1] [-1 1 0 2 -1 0 -2 -1 -1 0 0 -1 1 -1 2 -1 1 0 4 0 0 0] [ 0 -1 -1 -1 0 0 1 0 1 -1 -2 1 1 1 0 0 -1 -2 0 4 0 1] [-2 0 2 -1 -1 1 -1 1 -2 1 -1 1 2 2 0 -1 1 1 0 0 6 1] [-1 -1 1 -2 -1 1 1 1 1 0 -1 2 2 2 0 0 0 -1 0 1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 461. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 -1 -1 2 2 1 1 1 0 1 1 1 -1 1 -1 1 2 0 0] [ 1 4 -1 0 -2 -2 1 0 0 0 0 0 2 1 -1 -1 -1 -2 0 2 -1 -1] [ 0 -1 4 1 0 -1 0 -1 0 0 0 1 -1 1 -1 -1 1 1 0 -2 -1 1] [-1 0 1 4 -1 0 -2 0 0 1 0 1 -1 1 0 1 -1 -1 1 0 1 -1] [-1 -2 0 -1 4 1 -1 0 -1 -1 0 -1 0 -1 1 1 1 2 -1 -1 1 2] [-1 -2 -1 0 1 4 0 1 -1 1 0 0 0 -1 0 2 -1 1 1 -1 2 0] [ 2 1 0 -2 -1 0 4 1 0 1 1 0 1 1 -1 -1 1 -1 1 1 0 0] [ 2 0 -1 0 0 1 1 4 1 2 1 -1 1 0 0 0 1 -1 2 2 2 -1] [ 1 0 0 0 -1 -1 0 1 4 1 -1 -1 -1 1 0 -1 0 0 1 0 1 -1] [ 1 0 0 1 -1 1 1 2 1 4 0 1 0 0 0 0 0 -1 1 0 2 -1] [ 1 0 0 0 0 0 1 1 -1 0 4 1 1 0 0 -1 0 0 0 0 1 1] [ 0 0 1 1 -1 0 0 -1 -1 1 1 4 -1 -1 0 0 -1 0 -1 -2 -1 0] [ 1 2 -1 -1 0 0 1 1 -1 0 1 -1 4 0 0 -1 0 0 0 2 1 1] [ 1 1 1 1 -1 -1 1 0 1 0 0 -1 0 4 -1 0 0 -1 1 1 1 0] [ 1 -1 -1 0 1 0 -1 0 0 0 0 0 0 -1 4 0 0 0 0 1 0 1] [-1 -1 -1 1 1 2 -1 0 -1 0 -1 0 -1 0 0 4 0 0 0 0 1 0] [ 1 -1 1 -1 1 -1 1 1 0 0 0 -1 0 0 0 0 4 0 0 1 0 1] [-1 -2 1 -1 2 1 -1 -1 0 -1 0 0 0 -1 0 0 0 4 -1 -2 1 2] [ 1 0 0 1 -1 1 1 2 1 1 0 -1 0 1 0 0 0 -1 4 1 1 -1] [ 2 2 -2 0 -1 -1 1 2 0 0 0 -2 2 1 1 0 1 -2 1 6 1 -1] [ 0 -1 -1 1 1 2 0 2 1 2 1 -1 1 1 0 1 0 1 1 1 6 0] [ 0 -1 1 -1 2 0 0 -1 -1 -1 1 0 1 0 1 0 1 2 -1 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 462. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 2 -1 0 1 -1 1 -1 -1 1 -2 -1 1 -1 -1 -1 1 -2 2] [ 1 4 -2 1 -1 1 0 1 -1 -1 1 -2 2 0 -1 1 -1 0 0 2 -1 1] [-1 -2 4 -1 0 1 0 0 1 1 -1 1 -2 1 1 -1 0 1 -1 -2 0 0] [ 2 1 -1 4 0 -1 0 2 -1 -1 -1 0 0 -2 0 0 0 -1 -1 0 0 0] [ 2 -1 0 0 6 1 -2 -1 -2 2 0 1 0 -2 -2 2 -2 -2 -2 0 0 2] [-1 1 1 -1 1 6 -1 0 -2 -1 -1 0 1 1 1 2 0 -1 0 1 0 1] [ 0 0 0 0 -2 -1 4 -1 2 1 -1 0 0 0 1 -2 1 1 0 0 0 0] [ 1 1 0 2 -1 0 -1 4 0 -2 0 0 0 0 1 1 0 -1 -1 0 -1 0] [-1 -1 1 -1 -2 -2 2 0 4 0 0 1 -1 1 1 -2 0 1 0 -1 0 -1] [ 1 -1 1 -1 2 -1 1 -2 0 4 0 0 0 -1 -1 -1 -1 1 -1 0 0 1] [-1 1 -1 -1 0 -1 -1 0 0 0 4 0 0 0 -2 0 -1 0 0 0 1 -1] [-1 -2 1 0 1 0 0 0 1 0 0 4 -2 0 0 0 0 0 0 -2 1 -1] [ 1 2 -2 0 0 1 0 0 -1 0 0 -2 4 -1 0 1 0 0 0 2 -1 1] [-2 0 1 -2 -2 1 0 0 1 -1 0 0 -1 4 1 0 1 1 1 0 0 0] [-1 -1 1 0 -2 1 1 1 1 -1 -2 0 0 1 4 0 1 0 0 0 0 0] [ 1 1 -1 0 2 2 -2 1 -2 -1 0 0 1 0 0 4 -1 -1 0 1 -1 2] [-1 -1 0 0 -2 0 1 0 0 -1 -1 0 0 1 1 -1 4 1 1 0 0 -1] [-1 0 1 -1 -2 -1 1 -1 1 1 0 0 0 1 0 -1 1 4 1 0 0 0] [-1 0 -1 -1 -2 0 0 -1 0 -1 0 0 0 1 0 0 1 1 4 0 0 -1] [ 1 2 -2 0 0 1 0 0 -1 0 0 -2 2 0 0 1 0 0 0 4 0 1] [-2 -1 0 0 0 0 0 -1 0 0 1 1 -1 0 0 -1 0 0 0 0 4 -2] [ 2 1 0 0 2 1 0 0 -1 1 -1 -1 1 0 0 2 -1 0 -1 1 -2 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 463. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 1 -1 2 1 -2 -1 0 -1 -1 2 -1 -2 -2 -1 0 1 -1 0] [ 2 4 -2 1 0 1 0 -1 -2 -2 0 -1 0 2 -1 0 -2 0 -1 0 -1 0] [-1 -2 6 -3 2 -2 0 -1 2 2 -2 -1 -2 0 -1 1 1 -2 -2 2 3 -2] [ 2 1 -3 6 -1 1 0 2 -1 -1 1 2 1 0 2 -2 -2 1 1 -1 -3 1] [ 1 0 2 -1 4 -1 2 1 -1 1 -2 0 -2 0 0 -1 0 -2 0 2 0 -2] [-1 1 -2 1 -1 4 -1 0 0 -1 0 1 2 0 1 0 1 2 1 -2 0 1] [ 2 0 0 0 2 -1 4 1 -2 1 0 0 -1 1 0 -1 -1 -1 1 1 -1 -1] [ 1 -1 -1 2 1 0 1 4 -1 1 0 1 0 0 1 -2 0 0 1 0 -2 0] [-2 -2 2 -1 -1 0 -2 -1 4 0 0 0 0 -1 0 1 2 0 0 0 2 1] [-1 -2 2 -1 1 -1 1 1 0 4 -1 1 -1 0 1 1 1 -1 0 1 1 -2] [ 0 0 -2 1 -2 0 0 0 0 -1 4 1 0 -1 0 0 -1 2 0 -2 -1 1] [-1 -1 -1 2 0 1 0 1 0 1 1 4 0 -1 2 0 0 1 1 -1 -1 0] [-1 0 -2 1 -2 2 -1 0 0 -1 0 0 4 -1 1 0 0 2 1 -2 0 1] [ 2 2 0 0 0 0 1 0 -1 0 -1 -1 -1 6 -1 1 -1 -1 0 1 -1 0] [-1 -1 -1 2 0 1 0 1 0 1 0 2 1 -1 4 0 0 0 1 -1 -1 0] [-2 0 1 -2 -1 0 -1 -2 1 1 0 0 0 1 0 4 1 0 -1 0 1 0] [-2 -2 1 -2 0 1 -1 0 2 1 -1 0 0 -1 0 1 4 0 1 0 2 1] [-1 0 -2 1 -2 2 -1 0 0 -1 2 1 2 -1 0 0 0 4 1 -2 0 1] [ 0 -1 -2 1 0 1 1 1 0 0 0 1 1 0 1 -1 1 1 4 -1 -1 1] [ 1 0 2 -1 2 -2 1 0 0 1 -2 -1 -2 1 -1 0 0 -2 -1 4 1 -1] [-1 -1 3 -3 0 0 -1 -2 2 1 -1 -1 0 -1 -1 1 2 0 -1 1 6 -1] [ 0 0 -2 1 -2 1 -1 0 1 -2 1 0 1 0 0 0 1 1 1 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 464. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 0 -1 -1 0 -1 2 1 1 0 -2 -1 0 -1 -1 1 1 0 2] [ 2 4 -2 1 -1 -2 -2 1 -1 2 1 2 1 -1 -1 -1 -2 -1 -1 1 -1 0] [-2 -2 4 -1 1 2 1 -1 0 0 -1 -2 0 0 1 0 1 1 0 -1 0 -1] [ 0 1 -1 4 -1 1 0 0 -1 -1 1 0 -1 2 -1 -2 -2 1 -2 -1 1 -2] [ 0 -1 1 -1 4 0 2 0 1 0 0 1 0 1 2 -1 0 -1 0 1 0 2] [-1 -2 2 1 0 6 2 0 -2 -1 -2 -3 0 1 1 -1 1 1 -1 -1 0 -1] [-1 -2 1 0 2 2 6 -2 -1 -2 -1 1 -2 0 2 0 1 -1 -1 1 2 2] [ 0 1 -1 0 0 0 -2 4 1 0 -1 1 2 0 0 0 -1 0 -1 0 -2 0] [-1 -1 0 -1 1 -2 -1 1 4 -1 1 0 0 1 1 1 1 1 0 -1 0 0] [ 2 2 0 -1 0 -1 -2 0 -1 4 0 0 1 -2 -1 0 -1 -1 1 1 -1 0] [ 1 1 -1 1 0 -2 -1 -1 1 0 4 0 0 0 0 0 0 0 0 0 0 -1] [ 1 2 -2 0 1 -3 1 1 0 0 0 6 -1 0 0 0 -2 -1 -1 1 0 2] [ 0 1 0 -1 0 0 -2 2 0 1 0 -1 4 -1 0 0 0 -1 0 1 -2 0] [-2 -1 0 2 1 1 0 0 1 -2 0 0 -1 6 1 -2 -1 2 -1 -2 1 -2] [-1 -1 1 -1 2 1 2 0 1 -1 0 0 0 1 4 0 1 -1 -1 0 0 1] [ 0 -1 0 -2 -1 -1 0 0 1 0 0 0 0 -2 0 4 2 0 1 0 0 1] [-1 -2 1 -2 0 1 1 -1 1 -1 0 -2 0 -1 1 2 4 0 1 0 0 1] [-1 -1 1 1 -1 1 -1 0 1 -1 0 -1 -1 2 -1 0 0 4 0 -2 1 -2] [ 1 -1 0 -2 0 -1 -1 -1 0 1 0 -1 0 -1 -1 1 1 0 4 0 0 1] [ 1 1 -1 -1 1 -1 1 0 -1 1 0 1 1 -2 0 0 0 -2 0 4 0 2] [ 0 -1 0 1 0 0 2 -2 0 -1 0 0 -2 1 0 0 0 1 0 0 4 0] [ 2 0 -1 -2 2 -1 2 0 0 0 -1 2 0 -2 1 1 1 -2 1 2 0 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 465. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 1 2 1 -2 1 2 -1 -1 -2 1 0 -1 -1 1 0 1 -1 -1] [ 2 4 -1 0 0 2 0 -2 -1 0 0 -1 -2 1 1 0 -1 0 -1 1 -1 0] [ 0 -1 4 2 1 1 1 1 1 1 0 0 1 1 0 1 -1 1 1 0 -1 -1] [ 1 0 2 4 1 2 0 -1 1 2 0 0 0 0 1 -1 -2 1 0 0 0 0] [ 1 0 1 1 4 2 1 -1 2 2 1 1 0 0 1 1 1 2 2 0 0 1] [ 2 2 1 2 2 6 -1 -1 0 3 0 0 0 0 0 -1 -1 2 0 0 0 0] [ 1 0 1 0 1 -1 4 -1 0 0 1 0 -1 2 1 0 1 1 1 0 -2 -1] [-2 -2 1 -1 -1 -1 -1 4 0 0 -1 1 2 -1 -1 1 0 0 1 -1 1 -1] [ 1 -1 1 1 2 0 0 0 4 2 0 1 0 0 0 1 0 1 1 1 0 0] [ 2 0 1 2 2 3 0 0 2 6 0 0 0 0 1 0 -2 1 1 0 0 0] [-1 0 0 0 1 0 1 -1 0 0 4 1 0 0 0 1 1 1 -1 1 0 1] [-1 -1 0 0 1 0 0 1 1 0 1 4 0 0 -1 0 2 2 1 1 0 1] [-2 -2 1 0 0 0 -1 2 0 0 0 0 4 -2 0 0 0 0 0 -2 1 0] [ 1 1 1 0 0 0 2 -1 0 0 0 0 -2 4 0 0 0 0 0 1 -2 0] [ 0 1 0 1 1 0 1 -1 0 1 0 -1 0 0 4 0 -1 -1 1 -1 0 0] [-1 0 1 -1 1 -1 0 1 1 0 1 0 0 0 0 4 0 0 1 1 0 0] [-1 -1 -1 -2 1 -1 1 0 0 -2 1 2 0 0 -1 0 4 1 1 0 0 1] [ 1 0 1 1 2 2 1 0 1 1 1 2 0 0 -1 0 1 4 1 1 0 0] [ 0 -1 1 0 2 0 1 1 1 1 -1 1 0 0 1 1 1 1 4 -1 0 0] [ 1 1 0 0 0 0 0 -1 1 0 1 1 -2 1 -1 1 0 1 -1 4 0 0] [-1 -1 -1 0 0 0 -2 1 0 0 0 0 1 -2 0 0 0 0 0 0 4 0] [-1 0 -1 0 1 0 -1 -1 0 0 1 1 0 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 466. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -2 -1 2 1 -1 -1 -2 -2 -1 -1 2 2 2 0 -2 0 -1] [ 0 4 -1 -1 1 1 2 -1 1 2 1 2 2 1 -1 -1 0 -1 1 1 0 1] [ 1 -1 4 0 0 0 -2 2 1 0 1 -2 -2 1 -1 2 -1 2 -1 0 0 -1] [ 2 -1 0 4 -2 -2 0 0 1 -1 -1 -2 -1 -1 0 2 1 1 0 -2 0 0] [-2 1 0 -2 4 2 0 -1 0 0 2 2 2 1 1 0 -2 -1 -1 2 -1 0] [-2 1 0 -2 2 4 0 -1 -1 2 1 2 2 2 1 -1 -2 -1 -1 2 0 0] [-1 2 -2 0 0 0 4 -2 1 2 0 2 2 0 -1 -1 1 -2 2 0 0 1] [ 2 -1 2 0 -1 -1 -2 4 1 -1 -1 -1 -3 -1 0 2 1 2 0 -1 0 -1] [ 1 1 1 1 0 -1 1 1 6 2 1 -1 -1 -1 -1 0 0 1 0 -1 1 2] [-1 2 0 -1 0 2 2 -1 2 6 0 1 2 1 -1 -1 0 0 1 0 0 2] [-1 1 1 -1 2 1 0 -1 1 0 4 0 0 2 -1 -1 -2 0 -1 1 1 0] [-2 2 -2 -2 2 2 2 -1 -1 1 0 6 3 0 0 -2 0 -2 0 2 0 1] [-2 2 -2 -1 2 2 2 -3 -1 2 0 3 6 0 1 -2 0 -3 1 2 0 1] [-1 1 1 -1 1 2 0 -1 -1 1 2 0 0 4 -1 0 -2 0 -1 1 0 0] [-1 -1 -1 0 1 1 -1 0 -1 -1 -1 0 1 -1 4 1 -1 -1 0 1 0 -1] [ 2 -1 2 2 0 -1 -1 2 0 -1 -1 -2 -2 0 1 6 0 2 0 -1 -2 -2] [ 2 0 -1 1 -2 -2 1 1 0 0 -2 0 0 -2 -1 0 4 0 2 -2 0 0] [ 2 -1 2 1 -1 -1 -2 2 1 0 0 -2 -3 0 -1 2 0 4 -1 -1 0 0] [ 0 1 -1 0 -1 -1 2 0 0 1 -1 0 1 -1 0 0 2 -1 4 -1 0 0] [-2 1 0 -2 2 2 0 -1 -1 0 1 2 2 1 1 -1 -2 -1 -1 4 1 0] [ 0 0 0 0 -1 0 0 0 1 0 1 0 0 0 0 -2 0 0 0 1 4 0] [-1 1 -1 0 0 0 1 -1 2 2 0 1 1 0 -1 -2 0 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 467. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 0 1 -2 -1 0 0 -2 1 0 -1 -1 -1 -2 -1 0 1 0 0] [ 0 4 -1 0 0 1 1 2 0 1 1 1 -1 2 0 -1 2 1 1 -1 0 0] [ 1 -1 4 2 -1 0 0 -1 1 -1 0 1 -1 0 1 -1 0 1 1 0 0 1] [ 1 0 2 6 1 1 0 2 2 -2 0 1 -1 -1 -2 -1 -2 2 3 -1 1 2] [ 0 0 -1 1 4 -1 0 2 0 1 0 0 0 0 -2 1 -1 0 -1 1 -1 -1] [ 1 1 0 1 -1 4 -1 1 -1 -1 -1 1 1 1 1 0 1 0 1 0 2 1] [-2 1 0 0 0 -1 4 0 0 1 2 1 0 1 0 1 2 2 1 -1 0 1] [-1 2 -1 2 2 1 0 6 1 -1 1 1 0 2 -2 1 0 2 1 0 0 -1] [ 0 0 1 2 0 -1 0 1 4 -2 0 1 -2 0 0 0 0 0 1 -1 -1 0] [ 0 1 -1 -2 1 -1 1 -1 -2 4 0 -1 1 1 -1 0 0 0 -1 1 -1 -1] [-2 1 0 0 0 -1 2 1 0 0 4 0 0 1 1 0 1 2 0 0 0 0] [ 1 1 1 1 0 1 1 1 1 -1 0 4 -1 1 1 1 1 1 1 0 1 1] [ 0 -1 -1 -1 0 1 0 0 -2 1 0 -1 4 0 -1 1 -1 0 -1 1 1 -1] [-1 2 0 -1 0 1 1 2 0 1 1 1 0 4 1 1 2 1 0 0 0 -1] [-1 0 1 -2 -2 1 0 -2 0 -1 1 1 -1 1 6 0 3 -1 -1 0 1 1] [-1 -1 -1 -1 1 0 1 1 0 0 0 1 1 1 0 4 1 0 -1 1 0 0] [-2 2 0 -2 -1 1 2 0 0 0 1 1 -1 2 3 1 6 0 0 -1 0 1] [-1 1 1 2 0 0 2 2 0 0 2 1 0 1 -1 0 0 4 2 0 1 1] [ 0 1 1 3 -1 1 1 1 1 -1 0 1 -1 0 -1 -1 0 2 4 -2 1 2] [ 1 -1 0 -1 1 0 -1 0 -1 1 0 0 1 0 0 1 -1 0 -2 4 0 -1] [ 0 0 0 1 -1 2 0 0 -1 -1 0 1 1 0 1 0 0 1 1 0 4 1] [ 0 0 1 2 -1 1 1 -1 0 -1 0 1 -1 -1 1 0 1 1 2 -1 1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 468. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 2 -1 2 1 0 1 -1 -1 2 -1 0 -1 0 -1 0 -1] [ 1 4 0 2 1 -2 0 -1 0 -1 0 0 -2 0 0 -2 1 0 1 -2 -1 1] [-1 0 4 1 -1 1 -1 2 1 1 0 1 1 -1 -2 1 1 1 1 1 -1 2] [ 1 2 1 4 0 0 -1 -1 1 0 1 1 0 0 1 -1 0 -1 2 0 0 1] [ 2 1 -1 0 4 0 1 -1 2 -1 1 -1 0 -1 2 -1 0 0 -1 0 0 -1] [-1 -2 1 0 0 4 0 0 1 0 0 0 2 0 1 1 0 1 -1 2 0 0] [ 2 0 -1 -1 1 0 4 -1 1 0 0 1 0 -1 0 -1 1 1 -2 0 -1 0] [-1 -1 2 -1 -1 0 -1 4 -1 1 -1 1 0 0 -1 1 1 1 0 0 -1 1] [ 2 0 1 1 2 1 1 -1 4 0 1 0 1 -2 1 0 0 0 0 1 0 0] [ 1 -1 1 0 -1 0 0 1 0 4 0 2 0 -1 0 0 0 -1 0 0 0 0] [ 0 0 0 1 1 0 0 -1 1 0 4 0 1 -1 1 -1 -1 -1 0 1 1 1] [ 1 0 1 1 -1 0 1 1 0 2 0 4 0 -1 -1 -1 0 0 0 0 0 1] [-1 -2 1 0 0 2 0 0 1 0 1 0 4 0 0 1 -1 1 -1 2 0 0] [-1 0 -1 0 -1 0 -1 0 -2 -1 -1 -1 0 4 1 1 0 1 0 0 0 -1] [ 2 0 -2 1 2 1 0 -1 1 0 1 -1 0 1 6 -1 0 -1 -1 0 0 -2] [-1 -2 1 -1 -1 1 -1 1 0 0 -1 -1 1 1 -1 4 -1 1 1 1 1 0] [ 0 1 1 0 0 0 1 1 0 0 -1 0 -1 0 0 -1 4 1 -1 0 -2 1] [-1 0 1 -1 0 1 1 1 0 -1 -1 0 1 1 -1 1 1 4 -1 1 -1 1] [ 0 1 1 2 -1 -1 -2 0 0 0 0 0 -1 0 -1 1 -1 -1 4 -1 1 1] [-1 -2 1 0 0 2 0 0 1 0 1 0 2 0 0 1 0 1 -1 4 1 0] [ 0 -1 -1 0 0 0 -1 -1 0 0 1 0 0 0 0 1 -2 -1 1 1 4 -1] [-1 1 2 1 -1 0 0 1 0 0 1 1 0 -1 -2 0 1 1 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 469. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 2 0 -1 -1 0 0 -2 0 0 -1 0 2 1 -2 1 2 0 0] [ 2 4 2 -2 1 -1 -1 1 0 1 -2 0 1 -2 -1 0 -1 -2 1 2 -1 -1] [ 2 2 4 0 2 -1 0 1 0 1 -1 0 0 -2 -1 0 -1 0 2 0 0 1] [-1 -2 0 4 0 -1 0 -1 -1 -1 0 -1 0 0 1 -1 0 1 -1 -1 0 2] [ 2 1 2 0 4 -1 1 -1 1 0 -2 0 1 0 -1 0 0 0 0 0 -1 1] [ 0 -1 -1 -1 -1 4 0 0 1 1 2 1 0 2 -1 0 0 1 0 -1 0 -1] [-1 -1 0 0 1 0 4 0 1 -1 1 0 1 1 0 -1 1 2 0 -2 -1 1] [-1 1 1 -1 -1 0 0 4 1 2 1 1 -1 -1 -1 -1 -1 1 2 -1 1 0] [ 0 0 0 -1 1 1 1 1 4 1 1 0 1 1 -1 0 1 0 0 0 -1 0] [ 0 1 1 -1 0 1 -1 2 1 4 0 0 0 0 -2 -1 -1 1 2 -1 0 -1] [-2 -2 -1 0 -2 2 1 1 1 0 6 2 -1 1 1 -1 0 3 0 -3 1 1] [ 0 0 0 -1 0 1 0 1 0 0 2 4 -2 1 0 0 -1 2 0 -2 1 0] [ 0 1 0 0 1 0 1 -1 1 0 -1 -2 4 0 -1 -1 0 -1 -1 1 -2 0] [-1 -2 -2 0 0 2 1 -1 1 0 1 1 0 4 0 0 0 2 -1 -2 0 -1] [ 0 -1 -1 1 -1 -1 0 -1 -1 -2 1 0 -1 0 4 1 1 -1 -1 0 1 1] [ 2 0 0 -1 0 0 -1 -1 0 -1 -1 0 -1 0 1 4 2 -2 0 2 1 0] [ 1 -1 -1 0 0 0 1 -1 1 -1 0 -1 0 0 1 2 4 -1 0 1 0 1] [-2 -2 0 1 0 1 2 1 0 1 3 2 -1 2 -1 -2 -1 6 1 -4 1 1] [ 1 1 2 -1 0 0 0 2 0 2 0 0 -1 -1 -1 0 0 1 4 -1 1 0] [ 2 2 0 -1 0 -1 -2 -1 0 -1 -3 -2 1 -2 0 2 1 -4 -1 6 0 -1] [ 0 -1 0 0 -1 0 -1 1 -1 0 1 1 -2 0 1 1 0 1 1 0 4 0] [ 0 -1 1 2 1 -1 1 0 0 -1 1 0 0 -1 1 0 1 1 0 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 470. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 0 2 0 0 -1 1 -1 -1 0 0 -1 1 -1 1 1 -1 1 -1] [ 1 4 1 1 1 0 -1 0 0 2 1 1 -1 0 1 -1 -1 -1 1 1 0 -2] [ 0 1 4 1 2 1 0 -1 1 2 0 -1 -1 -1 2 -1 -2 0 2 0 -1 -1] [ 2 1 1 4 0 2 1 1 -1 2 -1 0 -1 1 0 -1 0 1 0 -1 1 0] [ 0 1 2 0 4 0 -1 -1 2 2 0 0 0 0 1 0 -1 0 1 0 -1 0] [ 2 0 1 2 0 4 1 -1 0 2 0 -2 -1 -1 -1 0 -1 0 0 0 0 0] [ 0 -1 0 1 -1 1 4 -1 -1 1 1 -1 0 -1 1 1 0 -1 0 1 0 1] [ 0 0 -1 1 -1 -1 -1 4 0 -1 -1 1 0 2 0 -1 2 1 -1 -1 0 1] [-1 0 1 -1 2 0 -1 0 4 0 0 -1 -1 0 1 0 0 0 0 0 -2 1] [ 1 2 2 2 2 2 1 -1 0 6 2 -1 -2 -1 1 -1 0 -2 1 2 0 0] [-1 1 0 -1 0 0 1 -1 0 2 4 0 -1 -2 1 0 0 -2 0 2 -1 0] [-1 1 -1 0 0 -2 -1 1 -1 -1 0 4 0 2 0 0 0 0 0 0 0 0] [ 0 -1 -1 -1 0 -1 0 0 -1 -2 -1 0 4 0 -1 1 0 0 -1 -1 1 0] [ 0 0 -1 1 0 -1 -1 2 0 -1 -2 2 0 4 -1 0 1 1 -1 -1 1 1] [-1 1 2 0 1 -1 1 0 1 1 1 0 -1 -1 4 -1 -1 -1 2 1 -2 0] [ 1 -1 -1 -1 0 0 1 -1 0 -1 0 0 1 0 -1 4 0 0 0 0 0 1] [-1 -1 -2 0 -1 -1 0 2 0 0 0 0 0 1 -1 0 4 0 -2 0 1 2] [ 1 -1 0 1 0 0 -1 1 0 -2 -2 0 0 1 -1 0 0 4 0 -2 1 0] [ 1 1 2 0 1 0 0 -1 0 1 0 0 -1 -1 2 0 -2 0 4 0 -1 -1] [-1 1 0 -1 0 0 1 -1 0 2 2 0 -1 -1 1 0 0 -2 0 4 0 0] [ 1 0 -1 1 -1 0 0 0 -2 0 -1 0 1 1 -2 0 1 1 -1 0 4 -1] [-1 -2 -1 0 0 0 1 1 1 0 0 0 0 1 0 1 2 0 -1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 471. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 2 0 0 -2 -2 0 -1 0 1 -1 0 1 1 -2 0 1 1 0 1] [ 0 4 1 0 -1 -1 2 0 2 1 1 1 -1 1 1 -1 0 -1 0 1 2 1] [-1 1 4 -2 0 0 2 1 2 0 0 0 0 0 -1 0 1 0 -1 0 1 1] [ 2 0 -2 4 1 0 -2 -1 -1 -1 0 0 -1 0 2 0 -1 -1 2 0 -1 0] [ 0 -1 0 1 4 0 -1 1 0 0 0 0 0 0 -1 -1 -1 0 0 0 -2 0] [ 0 -1 0 0 0 4 -2 -1 -2 1 -2 -2 1 1 -1 -1 1 2 -1 -2 -2 0] [-2 2 2 -2 -1 -2 6 0 2 1 1 1 1 1 1 0 1 -1 0 1 2 -1] [-2 0 1 -1 1 -1 0 4 0 0 0 0 -1 0 -1 0 0 0 0 0 1 1] [ 0 2 2 -1 0 -2 2 0 4 0 2 1 -1 -1 0 0 0 -1 -1 1 2 1] [-1 1 0 -1 0 1 1 0 0 4 -1 -1 0 2 0 0 1 0 -1 -1 1 -1] [ 0 1 0 0 0 -2 1 0 2 -1 4 2 0 -2 0 0 0 0 0 0 1 0] [ 1 1 0 0 0 -2 1 0 1 -1 2 4 -1 -1 1 0 -2 -1 0 2 0 1] [-1 -1 0 -1 0 1 1 -1 -1 0 0 -1 4 0 -1 0 2 2 -1 -1 -1 -2] [ 0 1 0 0 0 1 1 0 -1 2 -2 -1 0 4 0 0 0 0 0 0 1 0] [ 1 1 -1 2 -1 -1 1 -1 0 0 0 1 -1 0 4 0 -1 -2 2 1 0 0] [ 1 -1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 4 1 0 0 0 2 0] [-2 0 1 -1 -1 1 1 0 0 1 0 -2 2 0 -1 1 4 1 -1 -2 1 -1] [ 0 -1 0 -1 0 2 -1 0 -1 0 0 -1 2 0 -2 0 1 4 -1 -1 0 0] [ 1 0 -1 2 0 -1 0 0 -1 -1 0 0 -1 0 2 0 -1 -1 4 0 0 0] [ 1 1 0 0 0 -2 1 0 1 -1 0 2 -1 0 1 0 -2 -1 0 4 1 1] [ 0 2 1 -1 -2 -2 2 1 2 1 1 0 -1 1 0 2 1 0 0 1 6 0] [ 1 1 1 0 0 0 -1 1 1 -1 0 1 -2 0 0 0 -1 0 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 472. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 -2 1 -1 0 -2 2 1 -1 -1 2 0 0 1 -2 -2 2 0 -1] [ 0 6 -2 3 0 -2 2 2 0 -1 -1 0 -1 0 -2 2 -1 1 -1 0 2 -2] [-1 -2 6 1 1 1 0 1 2 -1 2 2 1 -1 2 -2 -1 0 2 -1 -2 -1] [ 0 3 1 6 -1 1 1 2 0 0 2 2 -2 1 0 -1 -2 2 0 1 0 0] [-2 0 1 -1 4 0 0 0 2 -1 -1 -1 1 -2 1 1 -1 1 1 -2 -1 1] [ 1 -2 1 1 0 6 -2 1 1 0 1 0 -1 0 2 -2 -2 -1 1 0 -2 3] [-1 2 0 1 0 -2 4 0 0 -2 1 0 1 -1 -2 1 1 0 0 -1 2 -2] [ 0 2 1 2 0 1 0 4 0 -1 0 0 0 0 0 0 -2 0 1 0 0 0] [-2 0 2 0 2 1 0 0 4 -2 0 1 1 -2 1 0 -1 1 2 -2 -1 0] [ 2 -1 -1 0 -1 0 -2 -1 -2 4 0 0 -1 2 1 0 0 0 -1 2 -1 1] [ 1 -1 2 2 -1 1 1 0 0 0 4 1 0 1 0 -1 0 0 0 1 0 -1] [-1 0 2 2 -1 0 0 0 1 0 1 4 0 0 0 -2 -1 1 1 0 0 -1] [-1 -1 1 -2 1 -1 1 0 1 -1 0 0 4 -2 0 0 1 0 2 -2 0 -1] [ 2 0 -1 1 -2 0 -1 0 -2 2 1 0 -2 4 -1 0 0 0 -2 2 0 0] [ 0 -2 2 0 1 2 -2 0 1 1 0 0 0 -1 4 -1 -1 0 1 0 -2 2] [ 0 2 -2 -1 1 -2 1 0 0 0 -1 -2 0 0 -1 4 1 0 -1 0 1 0] [ 1 -1 -1 -2 -1 -2 1 -2 -1 0 0 -1 1 0 -1 1 4 -1 -1 0 1 -1] [-2 1 0 2 1 -1 0 0 1 0 0 1 0 0 0 0 -1 4 1 0 0 1] [-2 -1 2 0 1 1 0 1 2 -1 0 1 2 -2 1 -1 -1 1 4 -2 -1 1] [ 2 0 -1 1 -2 0 -1 0 -2 2 1 0 -2 2 0 0 0 0 -2 4 1 0] [ 0 2 -2 0 -1 -2 2 0 -1 -1 0 0 0 0 -2 1 1 0 -1 1 4 -2] [-1 -2 -1 0 1 3 -2 0 0 1 -1 -1 -1 0 2 0 -1 1 1 0 -2 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 473. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 -1 -1 -1 1 -1 2 1 0 -1 1 2 -1 1 -2 -1 -2 1 -2] [ 1 4 0 2 -2 -2 1 1 -1 2 0 1 0 0 0 1 2 0 -2 -1 0 -1] [ 1 0 4 1 1 -1 -2 -1 -1 0 -1 -1 0 0 -1 -2 0 1 1 -2 0 0] [ 1 2 1 4 0 -2 0 0 0 2 1 1 0 -1 0 0 1 -1 -2 0 0 0] [-1 -2 1 0 4 0 -2 0 1 0 0 -1 1 -1 -1 0 -2 1 1 0 -1 1] [-1 -2 -1 -2 0 4 0 -1 1 -1 -1 -1 -1 1 1 -1 -1 -1 1 2 1 1] [-1 1 -2 0 -2 0 4 0 1 0 0 1 0 -1 0 1 1 -1 -1 2 0 0] [ 1 1 -1 0 0 -1 0 4 0 0 0 0 1 -1 1 2 -1 -1 0 0 -1 -1] [-1 -1 -1 0 1 1 1 0 4 1 0 1 -1 -1 0 1 -2 -2 -1 3 1 0] [ 2 2 0 2 0 -1 0 0 1 6 0 2 -2 1 1 0 1 -2 -3 0 2 -2] [ 1 0 -1 1 0 -1 0 0 0 0 4 0 1 -1 1 1 1 -1 -1 0 -1 -1] [ 0 1 -1 1 -1 -1 1 0 1 2 0 4 -2 1 0 1 0 0 -2 0 1 -1] [-1 0 0 0 1 -1 0 1 -1 -2 1 -2 4 -2 -1 1 0 1 1 0 -2 1] [ 1 0 0 -1 -1 1 -1 -1 -1 1 -1 1 -2 4 1 -1 0 1 0 -2 2 -1] [ 2 0 -1 0 -1 1 0 1 0 1 1 0 -1 1 4 0 0 -3 -1 0 1 -1] [-1 1 -2 0 0 -1 1 2 1 0 1 1 1 -1 0 4 0 0 -1 1 -1 0] [ 1 2 0 1 -2 -1 1 -1 -2 1 1 0 0 0 0 0 4 0 -1 -1 0 0] [-2 0 1 -1 1 -1 -1 -1 -2 -2 -1 0 1 1 -3 0 0 6 2 -2 -1 1] [-1 -2 1 -2 1 1 -1 0 -1 -3 -1 -2 1 0 -1 -1 -1 2 4 -1 -1 1] [-2 -1 -2 0 0 2 2 0 3 0 0 0 0 -2 0 1 -1 -2 -1 6 1 1] [ 1 0 0 0 -1 1 0 -1 1 2 -1 1 -2 2 1 -1 0 -1 -1 1 4 -1] [-2 -1 0 0 1 1 0 -1 0 -2 -1 -1 1 -1 -1 0 0 1 1 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 474. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 0 1 -2 2 -1 -1 0 1 -2 -1 -1 0 0 1 0 0 -1 0] [-2 4 0 0 1 0 0 -1 1 1 0 -1 2 0 0 0 1 -1 -1 0 1 -1] [ 1 0 6 -2 -1 -2 0 2 2 2 0 -1 -3 -1 -2 2 0 1 2 0 -1 1] [ 2 0 -2 6 2 1 -1 1 -2 -3 -1 2 0 1 -1 0 2 0 0 -1 0 -1] [ 0 1 -1 2 4 -1 -1 0 0 -2 1 0 0 0 -1 0 1 1 0 1 -1 0] [ 1 0 -2 1 -1 4 0 -1 -2 -1 -1 0 1 -1 1 -2 -1 -1 -2 -1 1 0] [-2 0 0 -1 -1 0 4 -1 0 0 0 0 1 1 1 0 -1 -1 1 0 1 0] [ 2 -1 2 1 0 -1 -1 4 1 1 -1 1 -1 -1 -1 2 0 1 1 -1 -1 0] [-1 1 2 -2 0 -2 0 1 4 3 0 -1 1 0 -1 2 -1 1 0 0 -1 1] [-1 1 2 -3 -2 -1 0 1 3 6 -1 -1 1 0 0 2 -2 1 0 -1 -1 1] [ 0 0 0 -1 1 -1 0 -1 0 -1 4 -1 0 1 1 0 0 0 0 2 0 -1] [ 1 -1 -1 2 0 0 0 1 -1 -1 -1 4 0 0 -1 -1 1 1 0 -1 0 0] [-2 2 -3 0 0 1 1 -1 1 1 0 0 6 0 2 -1 0 -2 -1 0 2 -1] [-1 0 -1 1 0 -1 1 -1 0 0 1 0 0 4 0 1 0 0 0 0 0 0] [-1 0 -2 -1 -1 1 1 -1 -1 0 1 -1 2 0 4 0 -1 -2 0 1 2 -2] [ 0 0 2 0 0 -2 0 2 2 2 0 -1 -1 1 0 4 -1 1 1 0 -1 0] [ 0 1 0 2 1 -1 -1 0 -1 -2 0 1 0 0 -1 -1 4 -1 1 0 1 -1] [ 1 -1 1 0 1 -1 -1 1 1 1 0 1 -2 0 -2 1 -1 4 0 0 -2 2] [ 0 -1 2 0 0 -2 1 1 0 0 0 0 -1 0 0 1 1 0 4 0 0 0] [ 0 0 0 -1 1 -1 0 -1 0 -1 2 -1 0 0 1 0 0 0 0 4 1 -1] [-1 1 -1 0 -1 1 1 -1 -1 -1 0 0 2 0 2 -1 1 -2 0 1 4 -2] [ 0 -1 1 -1 0 0 0 0 1 1 -1 0 -1 0 -2 0 -1 2 0 -1 -2 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 475. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 0 1 -1 0 -1 -1 1 -1 0 -1 -1 1 -1 1 1 -1 -1 -1 0] [-1 4 -1 0 -2 0 1 -1 1 1 1 1 2 2 1 2 -1 -1 1 1 -1 1] [ 0 -1 4 -1 2 1 1 -1 1 -2 1 0 -1 -1 0 -1 1 -1 -2 1 2 1] [ 0 0 -1 4 -2 1 -2 1 0 1 -1 1 -1 -1 -1 1 -2 1 1 -1 -2 1] [ 1 -2 2 -2 6 0 1 1 0 -1 0 0 0 0 2 -3 3 0 -2 0 3 0] [-1 0 1 1 0 4 -1 1 2 -1 -1 1 0 0 -1 0 -2 1 0 -1 0 1] [ 0 1 1 -2 1 -1 4 0 -1 -1 0 -1 1 1 2 0 1 0 -1 0 0 -1] [-1 -1 -1 1 1 1 0 4 0 -1 -2 0 0 0 0 0 -1 2 0 -2 0 -1] [-1 1 1 0 0 2 -1 0 4 0 0 2 1 1 0 1 -1 0 -1 0 1 1] [ 1 1 -2 1 -1 -1 -1 -1 0 4 0 1 1 1 1 1 0 0 1 0 -2 1] [-1 1 1 -1 0 -1 0 -2 0 0 4 0 0 1 0 0 1 -2 0 2 1 1] [ 0 1 0 1 0 1 -1 0 2 1 0 4 0 0 0 1 -1 0 -1 0 1 2] [-1 2 -1 -1 0 0 1 0 1 1 0 0 4 2 1 1 0 -1 0 0 0 0] [-1 2 -1 -1 0 0 1 0 1 1 1 0 2 4 1 1 0 0 0 0 0 0] [ 1 1 0 -1 2 -1 2 0 0 1 0 0 1 1 4 -1 1 0 0 0 -1 0] [-1 2 -1 1 -3 0 0 0 1 1 0 1 1 1 -1 4 -1 0 0 0 -1 1] [ 1 -1 1 -2 3 -2 1 -1 -1 0 1 -1 0 0 1 -1 4 -1 -1 1 2 0] [ 1 -1 -1 1 0 1 0 2 0 0 -2 0 -1 0 0 0 -1 4 0 -2 -1 -1] [-1 1 -2 1 -2 0 -1 0 -1 1 0 -1 0 0 0 0 -1 0 4 0 -2 0] [-1 1 1 -1 0 -1 0 -2 0 0 2 0 0 0 0 0 1 -2 0 4 2 1] [-1 -1 2 -2 3 0 0 0 1 -2 1 1 0 0 -1 -1 2 -1 -2 2 6 0] [ 0 1 1 1 0 1 -1 -1 1 1 1 2 0 0 0 1 0 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 476. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 1 -1 1 1 1 0 1 1 0 1 1 -1 0 -2 1 0 -1 -1] [ 2 4 1 1 -1 0 -1 2 2 -1 1 0 0 0 1 -1 -1 0 0 0 0 -2] [ 2 1 6 3 3 1 -1 0 2 0 0 1 0 2 1 2 2 -1 2 -2 -2 -2] [ 2 1 3 6 3 1 -1 -1 1 -1 2 2 2 1 -1 1 1 -1 3 1 -1 1] [ 1 -1 3 3 6 -1 1 -2 -1 1 1 1 1 2 1 2 2 -2 3 -1 -2 2] [-1 0 1 1 -1 4 -1 0 2 0 -1 0 0 -1 -2 1 1 1 0 -1 1 0] [ 1 -1 -1 -1 1 -1 4 -1 -1 1 -1 0 0 1 0 0 1 -2 0 -1 -1 2] [ 1 2 0 -1 -2 0 -1 4 1 -1 0 -1 0 -1 1 -2 -2 1 -1 1 1 -2] [ 1 2 2 1 -1 2 -1 1 4 0 0 0 0 0 -1 1 1 0 0 -1 0 -2] [ 0 -1 0 -1 1 0 1 -1 0 4 -1 -1 -1 1 0 1 0 0 0 0 -1 1] [ 1 1 0 2 1 -1 -1 0 0 -1 4 0 0 0 0 -1 -1 -1 2 1 0 0] [ 1 0 1 2 1 0 0 -1 0 -1 0 4 0 1 -1 0 2 0 1 1 -1 1] [ 0 0 0 2 1 0 0 0 0 -1 0 0 4 -1 0 0 0 0 0 0 0 1] [ 1 0 2 1 2 -1 1 -1 0 1 0 1 -1 4 0 1 1 -1 1 0 -2 1] [ 1 1 1 -1 1 -2 0 1 -1 0 0 -1 0 0 4 -1 -1 -1 0 -1 0 -2] [-1 -1 2 1 2 1 0 -2 1 1 -1 0 0 1 -1 4 2 0 1 -1 -1 0] [ 0 -1 2 1 2 1 1 -2 1 0 -1 2 0 1 -1 2 4 -1 1 -2 -1 1] [-2 0 -1 -1 -2 1 -2 1 0 0 -1 0 0 -1 -1 0 -1 4 -1 2 1 0] [ 1 0 2 3 3 0 0 -1 0 0 2 1 0 1 0 1 1 -1 4 0 -1 1] [ 0 0 -2 1 -1 -1 -1 1 -1 0 1 1 0 0 -1 -1 -2 2 0 6 1 1] [-1 0 -2 -1 -2 1 -1 1 0 -1 0 -1 0 -2 0 -1 -1 1 -1 1 4 -1] [-1 -2 -2 1 2 0 2 -2 -2 1 0 1 1 1 -2 0 1 0 1 1 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 477. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 -1 1 1 -2 -1 1 1 -1 1 -1 -1 1 1 1 -2 -1] [ 1 4 0 -2 2 2 -1 0 0 -2 -1 0 1 -1 0 1 -1 0 -1 0 -2 1] [-1 0 4 -1 -1 0 2 0 0 -1 0 0 1 2 0 2 2 0 -2 0 -1 0] [-1 -2 -1 4 -2 -1 0 -1 0 2 1 0 -1 0 1 -1 0 0 1 0 2 -1] [ 1 2 -1 -2 4 2 -1 0 1 0 0 1 0 -1 0 1 0 0 0 1 0 0] [ 2 2 0 -1 2 4 0 0 1 -1 -1 1 1 0 1 1 0 0 -1 1 -1 -1] [-1 -1 2 0 -1 0 4 1 0 -1 0 -1 1 2 -1 1 1 1 -2 -1 0 -1] [ 1 0 0 -1 0 0 1 4 -1 -2 -1 -1 1 1 0 0 1 2 0 -1 -2 0] [ 1 0 0 0 1 1 0 -1 4 1 -1 2 -1 -1 -1 1 0 -1 0 2 0 0] [-2 -2 -1 2 0 -1 -1 -2 1 6 1 0 -3 0 0 -1 0 -1 1 0 4 1] [-1 -1 0 1 0 -1 0 -1 -1 1 4 -1 0 0 0 0 1 1 1 -1 1 0] [ 1 0 0 0 1 1 -1 -1 2 0 -1 4 0 0 1 1 0 -1 0 2 0 -1] [ 1 1 1 -1 0 1 1 1 -1 -3 0 0 4 0 1 0 1 0 0 0 -1 -1] [-1 -1 2 0 -1 0 2 1 -1 0 0 0 0 4 0 1 1 1 -2 -1 0 0] [ 1 0 0 1 0 1 -1 0 -1 0 0 1 1 0 4 0 0 0 1 1 1 -2] [-1 1 2 -1 1 1 1 0 1 -1 0 1 0 1 0 4 1 0 -2 1 -1 0] [-1 -1 2 0 0 0 1 1 0 0 1 0 1 1 0 1 4 0 0 0 0 0] [ 1 0 0 0 0 0 1 2 -1 -1 1 -1 0 1 0 0 0 4 0 -1 -1 0] [ 1 -1 -2 1 0 -1 -2 0 0 1 1 0 0 -2 1 -2 0 0 4 0 1 0] [ 1 0 0 0 1 1 -1 -1 2 0 -1 2 0 -1 1 1 0 -1 0 4 1 -1] [-2 -2 -1 2 0 -1 0 -2 0 4 1 0 -1 0 1 -1 0 -1 1 1 6 -1] [-1 1 0 -1 0 -1 -1 0 0 1 0 -1 -1 0 -2 0 0 0 0 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 478. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 0 1 1 -1 0 1 0 0 2 -1 -1 -2 -1 2 0 -1] [ 1 4 -1 0 0 1 1 -1 1 -1 -1 0 1 1 2 0 -2 0 -1 0 -1 1] [-1 -1 4 -1 1 0 -2 0 -1 1 -1 1 1 1 1 -1 0 1 1 -1 -1 0] [-1 0 -1 4 -2 0 2 1 -1 -1 -1 -2 -2 0 0 -1 1 1 -1 -1 2 -1] [ 1 0 1 -2 4 1 -1 1 0 0 1 2 0 -1 1 0 -1 -1 0 1 0 1] [ 2 1 0 0 1 4 -1 1 0 -2 -1 0 -1 1 3 0 0 -1 -2 1 1 0] [ 0 1 -2 2 -1 -1 4 1 1 0 0 -1 -1 0 -1 0 -1 0 -1 0 1 -1] [ 1 -1 0 1 1 1 1 4 -1 0 1 0 -2 0 0 -1 1 -1 0 1 2 -1] [ 1 1 -1 -1 0 0 1 -1 4 0 0 1 1 -1 1 1 -1 0 -1 0 -1 0] [-1 -1 1 -1 0 -2 0 0 0 4 1 1 1 0 -1 -1 1 0 2 0 -1 -1] [ 0 -1 -1 -1 1 -1 0 1 0 1 4 0 0 -1 -2 0 1 0 2 0 0 0] [ 1 0 1 -2 2 0 -1 0 1 1 0 4 0 0 1 0 -1 0 0 0 -1 0] [ 0 1 1 -2 0 -1 -1 -2 1 1 0 0 4 0 0 0 -1 0 1 0 -2 1] [ 0 1 1 0 -1 1 0 0 -1 0 -1 0 0 4 1 0 -1 1 0 -1 0 -1] [ 2 2 1 0 1 3 -1 0 1 -1 -2 1 0 1 6 -1 -1 -1 -2 0 0 0] [-1 0 -1 -1 0 0 0 -1 1 -1 0 0 0 0 -1 4 0 0 -1 0 0 2] [-1 -2 0 1 -1 0 -1 1 -1 1 1 -1 -1 -1 -1 0 4 0 1 0 1 0] [-2 0 1 1 -1 -1 0 -1 0 0 0 0 0 1 -1 0 0 4 1 -2 0 0] [-1 -1 1 -1 0 -2 -1 0 -1 2 2 0 1 0 -2 -1 1 1 4 -1 -1 0] [ 2 0 -1 -1 1 1 0 1 0 0 0 0 0 -1 0 0 0 -2 -1 4 1 0] [ 0 -1 -1 2 0 1 1 2 -1 -1 0 -1 -2 0 0 0 1 0 -1 1 4 -1] [-1 1 0 -1 1 0 -1 -1 0 -1 0 0 1 -1 0 2 0 0 0 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 479. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 -1 1 2 -2 -1 1 1 0 0 0 0 -1 2 1 0 1 1 0] [-2 4 1 2 2 -1 0 2 -1 -2 1 1 1 1 -1 1 -2 -2 -1 -2 -1 1] [ 0 1 4 1 1 1 2 0 -1 -1 2 1 0 1 0 1 0 0 0 -1 0 2] [-1 2 1 4 2 0 -1 1 0 -2 1 0 -1 0 1 2 -2 0 0 -2 -1 1] [-1 2 1 2 4 -1 -1 1 -1 -2 2 0 -1 0 1 2 -2 0 -1 -2 0 2] [ 1 -1 1 0 -1 4 2 -2 1 0 -1 1 -1 1 1 0 2 1 0 0 1 1] [ 2 0 2 -1 -1 2 6 -1 -2 -1 0 0 1 0 -1 -1 2 1 1 -1 1 1] [-2 2 0 1 1 -2 -1 4 -1 -1 1 -1 1 -1 -1 0 -2 -1 1 -1 0 0] [-1 -1 -1 0 -1 1 -2 -1 4 1 -1 1 -1 1 1 1 0 0 0 1 -1 0] [ 1 -2 -1 -2 -2 0 -1 -1 1 4 0 0 1 1 0 -1 1 0 0 2 0 -1] [ 1 1 2 1 2 -1 0 1 -1 0 6 1 1 1 -1 2 -2 -1 0 0 1 2] [ 0 1 1 0 0 1 0 -1 1 0 1 4 0 2 -1 1 0 -2 -2 0 0 1] [ 0 1 0 -1 -1 -1 1 1 -1 1 1 0 4 0 -1 -1 0 -2 1 1 0 0] [ 0 1 1 0 0 1 0 -1 1 1 1 2 0 4 -1 1 0 -1 -2 0 0 1] [ 0 -1 0 1 1 1 -1 -1 1 0 -1 -1 -1 -1 4 0 0 1 1 0 -1 1] [-1 1 1 2 2 0 -1 0 1 -1 2 1 -1 1 0 4 -1 0 -1 -1 0 2] [ 2 -2 0 -2 -2 2 2 -2 0 1 -2 0 0 0 0 -1 4 1 0 1 1 0] [ 1 -2 0 0 0 1 1 -1 0 0 -1 -2 -2 -1 1 0 1 4 1 0 1 0] [ 0 -1 0 0 -1 0 1 1 0 0 0 -2 1 -2 1 -1 0 1 4 0 0 0] [ 1 -2 -1 -2 -2 0 -1 -1 1 2 0 0 1 0 0 -1 1 0 0 4 1 -1] [ 1 -1 0 -1 0 1 1 0 -1 0 1 0 0 0 -1 0 1 1 0 1 4 0] [ 0 1 2 1 2 1 1 0 0 -1 2 1 0 1 1 2 0 0 0 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 480. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 2 1 -2 2 1 -2 -1 2 0 -2 1 0 2 -1 2 -2 0 -1] [-2 4 0 -1 -2 -1 2 -2 0 2 1 -2 0 0 0 -1 -1 1 -2 2 1 2] [ 2 0 6 2 0 2 0 1 2 0 -2 1 -2 1 0 -2 1 0 -1 0 0 2] [ 1 -1 2 4 0 0 0 1 1 0 -1 2 0 2 1 1 -1 1 0 0 1 1] [ 2 -2 0 0 4 0 -2 1 1 -2 0 1 1 -1 0 1 1 0 1 -2 -1 -1] [ 1 -1 2 0 0 4 -1 2 -1 -1 0 1 -2 -1 1 -1 2 -2 0 -1 -1 1] [-2 2 0 0 -2 -1 4 -1 0 2 0 -1 0 2 -1 -1 -2 0 -1 2 0 0] [ 2 -2 1 1 1 2 -1 4 -1 -2 0 2 -1 -1 1 0 2 -1 1 -2 0 -1] [ 1 0 2 1 1 -1 0 -1 4 0 -2 0 1 1 0 -1 -1 0 0 0 0 1] [-2 2 0 0 -2 -1 2 -2 0 4 0 -2 -1 2 -1 0 -2 1 -2 2 0 2] [-1 1 -2 -1 0 0 0 0 -2 0 4 0 0 0 1 0 0 0 0 0 1 0] [ 2 -2 1 2 1 1 -1 2 0 -2 0 4 0 0 1 0 1 0 2 -2 0 -1] [ 0 0 -2 0 1 -2 0 -1 1 -1 0 0 4 0 1 1 -1 0 1 0 1 -2] [-2 0 1 2 -1 -1 2 -1 1 2 0 0 0 6 -1 0 -3 1 -1 2 0 1] [ 1 0 0 1 0 1 -1 1 0 -1 1 1 1 -1 4 0 1 -1 1 -1 2 1] [ 0 -1 -2 1 1 -1 -1 0 -1 0 0 0 1 0 0 4 0 1 0 0 0 0] [ 2 -1 1 -1 1 2 -2 2 -1 -2 0 1 -1 -3 1 0 4 -1 1 -2 0 0] [-1 1 0 1 0 -2 0 -1 0 1 0 0 0 1 -1 1 -1 4 -1 1 1 1] [ 2 -2 -1 0 1 0 -1 1 0 -2 0 2 1 -1 1 0 1 -1 4 -2 0 -2] [-2 2 0 0 -2 -1 2 -2 0 2 0 -2 0 2 -1 0 -2 1 -2 4 1 1] [ 0 1 0 1 -1 -1 0 0 0 0 1 0 1 0 2 0 0 1 0 1 4 0] [-1 2 2 1 -1 1 0 -1 1 2 0 -1 -2 1 1 0 0 1 -2 1 0 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 481. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 0 0 0 -2 1 -1 1 2 2 2 -2 -2 1 -2 -1 2 1 1] [ 1 6 -2 3 -1 1 -1 0 -2 -1 2 1 1 1 -3 -3 -1 -1 -2 1 0 2] [ 2 -2 6 1 2 -2 2 -2 2 -2 0 2 1 1 1 -1 3 -2 1 2 -1 -1] [ 1 3 1 6 2 -2 2 0 -2 -1 2 2 0 0 -3 -4 2 -2 0 2 -1 0] [ 0 -1 2 2 4 -2 2 0 0 -1 1 1 -1 -1 1 0 1 -1 1 1 -1 -1] [ 0 1 -2 -2 -2 4 -2 1 1 0 -1 -1 0 0 0 1 -2 1 0 -1 1 2] [ 0 -1 2 2 2 -2 4 -1 -1 -1 0 1 -1 -1 1 0 2 -1 1 1 -1 -2] [-2 0 -2 0 0 1 -1 4 -1 1 0 -2 -2 -2 1 1 -1 2 1 -2 -1 1] [ 1 -2 2 -2 0 1 -1 -1 4 0 -1 0 1 1 1 1 0 0 1 0 0 0] [-1 -1 -2 -1 -1 0 -1 1 0 4 0 -1 -1 -1 0 0 0 1 1 -1 1 -1] [ 1 2 0 2 1 -1 0 0 -1 0 4 0 0 0 -2 -2 1 0 0 0 0 0] [ 2 1 2 2 1 -1 1 -2 0 -1 0 4 1 2 -1 -2 1 -2 -1 2 0 0] [ 2 1 1 0 -1 0 -1 -2 1 -1 0 1 4 2 -2 -1 0 -2 -2 1 1 1] [ 2 1 1 0 -1 0 -1 -2 1 -1 0 2 2 4 -2 -1 0 -1 -2 1 1 1] [-2 -3 1 -3 1 0 1 1 1 0 -2 -1 -2 -2 6 3 -1 1 2 -1 -2 -1] [-2 -3 -1 -4 0 1 0 1 1 0 -2 -2 -1 -1 3 6 -1 2 0 -2 0 0] [ 1 -1 3 2 1 -2 2 -1 0 0 1 1 0 0 -1 -1 4 -1 1 1 0 -1] [-2 -1 -2 -2 -1 1 -1 2 0 1 0 -2 -2 -1 1 2 -1 4 1 -2 0 0] [-1 -2 1 0 1 0 1 1 1 1 0 -1 -2 -2 2 0 1 1 4 -1 -1 -1] [ 2 1 2 2 1 -1 1 -2 0 -1 0 2 1 1 -1 -2 1 -2 -1 4 1 0] [ 1 0 -1 -1 -1 1 -1 -1 0 1 0 0 1 1 -2 0 0 0 -1 1 4 0] [ 1 2 -1 0 -1 2 -2 1 0 -1 0 0 1 1 -1 0 -1 0 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 482. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 2 -1 1 1 -1 0 -2 -2 -1 1 0 2 2 -1 0 -2 0 1] [ 2 4 -2 0 0 -2 -1 -1 -1 1 -2 -2 1 0 1 1 1 -1 -1 0 -1 1] [-2 -2 4 1 0 1 0 1 1 1 2 1 1 -1 1 0 -2 2 1 1 0 0] [ 1 0 1 4 2 0 1 0 1 1 0 0 1 -1 0 0 -1 1 -1 0 0 -1] [ 2 0 0 2 4 1 2 2 1 1 0 -1 -1 0 0 1 0 0 1 -1 1 0] [-1 -2 1 0 1 4 2 2 2 0 2 0 -2 1 0 -1 -1 0 0 0 1 -1] [ 1 -1 0 1 2 2 6 0 0 0 1 0 0 0 -1 2 0 1 -1 0 2 0] [ 1 -1 1 0 2 2 0 6 2 0 1 -1 -3 1 2 1 -1 -1 2 -1 1 0] [-1 -1 1 1 1 2 0 2 4 1 1 1 -1 -1 1 -2 -1 -1 0 1 0 -2] [ 0 1 1 1 1 0 0 0 1 4 0 0 2 -1 2 -1 0 1 0 1 -1 0] [-2 -2 2 0 0 2 1 1 1 0 4 0 0 -1 0 0 -2 1 0 0 0 0] [-2 -2 1 0 -1 0 0 -1 1 0 0 4 1 -1 0 -2 0 1 0 2 1 -2] [-1 1 1 1 -1 -2 0 -3 -1 2 0 1 6 -1 0 1 0 1 -1 2 -1 1] [ 1 0 -1 -1 0 1 0 1 -1 -1 -1 -1 -1 4 -1 1 1 -1 0 -1 1 1] [ 0 1 1 0 0 0 -1 2 1 2 0 0 0 -1 4 -1 -1 0 1 1 -1 0] [ 2 1 0 0 1 -1 2 1 -2 -1 0 -2 1 1 -1 6 1 0 0 -1 1 3] [ 2 1 -2 -1 0 -1 0 -1 -1 0 -2 0 0 1 -1 1 4 -1 0 -1 0 1] [-1 -1 2 1 0 0 1 -1 -1 1 1 1 1 -1 0 0 -1 4 0 1 1 0] [ 0 -1 1 -1 1 0 -1 2 0 0 0 0 -1 0 1 0 0 0 4 -1 0 1] [-2 0 1 0 -1 0 0 -1 1 1 0 2 2 -1 1 -1 -1 1 -1 4 1 -1] [ 0 -1 0 0 1 1 2 1 0 -1 0 1 -1 1 -1 1 0 1 0 1 4 -1] [ 1 1 0 -1 0 -1 0 0 -2 0 0 -2 1 1 0 3 1 0 1 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 483. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 -1 0 0 -1 1 -2 -2 1 -1 2 0 1 0 -1 1 -1 -2] [-2 4 -2 2 0 -1 -1 -1 1 0 0 0 -1 -1 -1 0 -1 -1 -1 -1 1 1] [ 2 -2 4 -2 0 0 1 1 -1 1 -2 -1 0 -1 1 0 0 0 -1 0 0 -1] [-2 2 -2 4 1 0 0 -1 0 0 1 0 -1 1 0 -1 0 0 1 -1 0 1] [-1 0 0 1 4 -1 1 -1 1 1 1 -1 1 1 0 -2 -1 1 0 1 1 -1] [-1 -1 0 0 -1 4 1 2 0 -2 1 2 0 0 -1 1 1 0 2 0 -1 1] [ 0 -1 1 0 1 1 4 2 1 -1 0 0 1 1 0 0 1 -1 1 1 -1 0] [ 0 -1 1 -1 -1 2 2 4 1 -2 -1 1 0 0 -1 2 1 0 0 0 -1 1] [-1 1 -1 0 1 0 1 1 4 0 0 0 0 0 0 0 0 0 0 0 0 1] [ 1 0 1 0 1 -2 -1 -2 0 4 0 -2 0 0 1 -1 0 1 -1 0 0 -1] [-2 0 -2 1 1 1 0 -1 0 0 4 1 1 2 -1 -1 0 1 2 1 0 0] [-2 0 -1 0 -1 2 0 1 0 -2 1 4 0 1 -2 1 0 -1 1 0 0 2] [ 1 -1 0 -1 1 0 1 0 0 0 1 0 4 1 0 0 0 0 0 2 -1 -1] [-1 -1 -1 1 1 0 1 0 0 0 2 1 1 4 -1 -1 1 0 2 1 -1 1] [ 2 -1 1 0 0 -1 0 -1 0 1 -1 -2 0 -1 4 -1 0 0 0 0 0 -1] [ 0 0 0 -1 -2 1 0 2 0 -1 -1 1 0 -1 -1 4 1 0 -1 -1 0 1] [ 1 -1 0 0 -1 1 1 1 0 0 0 0 0 1 0 1 4 -1 1 1 -2 1] [ 0 -1 0 0 1 0 -1 0 0 1 1 -1 0 0 0 0 -1 4 0 0 1 -1] [-1 -1 -1 1 0 2 1 0 0 -1 2 1 0 2 0 -1 1 0 4 0 -1 1] [ 1 -1 0 -1 1 0 1 0 0 0 1 0 2 1 0 -1 1 0 0 4 0 -1] [-1 1 0 0 1 -1 -1 -1 0 0 0 0 -1 -1 0 0 -2 1 -1 0 4 -1] [-2 1 -1 1 -1 1 0 1 1 -1 0 2 -1 1 -1 1 1 -1 1 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 484. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 0 -1 -2 -1 2 0 -1 1 2 1 -2 0 0 2 -1 0 1 0 1] [ 2 4 1 -1 -1 -1 -2 1 -1 -1 1 0 2 -2 -1 1 0 -1 0 1 0 2] [ 2 1 4 0 -2 -1 -2 2 1 -1 2 1 2 -1 0 0 1 -2 -1 2 1 1] [ 0 -1 0 4 -1 0 0 1 1 1 1 1 1 1 0 -2 -1 -1 0 1 1 0] [-1 -1 -2 -1 4 1 2 -2 -1 1 -2 0 -3 1 -1 0 -1 2 1 -2 -1 0] [-2 -1 -1 0 1 6 3 -1 -1 -1 1 -1 0 1 -1 -2 -1 -1 2 1 -1 0] [-1 -2 -2 0 2 3 6 -2 -2 1 -1 1 -3 2 1 -1 1 1 1 -1 -2 0] [ 2 1 2 1 -2 -1 -2 4 0 0 2 1 2 -1 0 0 0 -2 -1 2 0 1] [ 0 -1 1 1 -1 -1 -2 0 4 0 0 0 0 0 1 0 0 0 -1 0 2 -1] [-1 -1 -1 1 1 -1 1 0 0 4 -1 1 -2 2 1 1 -1 1 -1 -1 -1 1] [ 1 1 2 1 -2 1 -1 2 0 -1 4 0 3 0 0 -1 0 -2 0 2 0 1] [ 2 0 1 1 0 -1 1 1 0 1 0 4 -1 0 0 0 1 -1 -1 0 0 1] [ 1 2 2 1 -3 0 -3 2 0 -2 3 -1 6 -2 0 -1 0 -3 1 3 1 1] [-2 -2 -1 1 1 1 2 -1 0 2 0 0 -2 4 0 0 -1 1 -1 -1 0 0] [ 0 -1 0 0 -1 -1 1 0 1 1 0 0 0 0 4 0 1 0 0 0 -1 0] [ 0 1 0 -2 0 -2 -1 0 0 1 -1 0 -1 0 0 4 1 1 -2 -1 0 1] [ 2 0 1 -1 -1 -1 1 0 0 -1 0 1 0 -1 1 1 4 0 0 0 0 0] [-1 -1 -2 -1 2 -1 1 -2 0 1 -2 -1 -3 1 0 1 0 4 0 -2 0 -1] [ 0 0 -1 0 1 2 1 -1 -1 -1 0 -1 1 -1 0 -2 0 0 4 0 -1 0] [ 1 1 2 1 -2 1 -1 2 0 -1 2 0 3 -1 0 -1 0 -2 0 4 1 1] [ 0 0 1 1 -1 -1 -2 0 2 -1 0 0 1 0 -1 0 0 0 -1 1 4 -1] [ 1 2 1 0 0 0 0 1 -1 1 1 1 1 0 0 1 0 -1 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 485. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 2 -2 -1 1 0 1 2 2 1 -1 -1 0 -1 0 2 2 0 -1] [-1 4 -1 -1 0 0 -1 -2 0 0 1 1 0 -1 -1 0 1 1 0 1 -1 -1] [ 0 -1 4 1 1 -1 -1 1 0 -1 0 1 -1 2 0 -1 -2 1 0 0 -1 0] [ 2 -1 1 4 2 -2 0 0 0 1 1 0 1 0 -1 1 0 0 0 1 0 -1] [ 2 0 1 2 4 -2 0 0 -1 0 1 2 0 0 -1 1 -1 1 1 1 -1 -1] [-2 0 -1 -2 -2 4 1 -1 1 -1 -1 -2 0 0 2 0 0 -1 -1 -1 1 0] [-1 -1 -1 0 0 1 4 -1 -1 0 -1 -2 -1 1 0 0 1 0 0 -1 0 0] [ 1 -2 1 0 0 -1 -1 4 1 0 0 1 1 0 1 -1 -1 -1 1 0 1 0] [ 0 0 0 0 -1 1 -1 1 4 -1 0 0 1 0 1 0 1 0 0 0 0 0] [ 1 0 -1 1 0 -1 0 0 -1 4 0 -1 1 -1 -1 1 1 0 1 0 0 0] [ 2 1 0 1 1 -1 -1 0 0 0 4 1 1 0 0 0 -1 0 1 2 0 -2] [ 2 1 1 0 2 -2 -2 1 0 -1 1 6 0 -1 -2 -2 -1 2 1 1 -1 0] [ 1 0 -1 1 0 0 -1 1 1 1 1 0 4 -2 1 0 1 -2 1 1 2 -1] [-1 -1 2 0 0 0 1 0 0 -1 0 -1 -2 4 0 0 -1 1 -1 -1 -1 1] [-1 -1 0 -1 -1 2 0 1 1 -1 0 -2 1 0 4 1 -1 -2 0 0 2 -1] [ 0 0 -1 1 1 0 0 -1 0 1 0 -2 0 0 1 4 0 0 -1 0 0 0] [-1 1 -2 0 -1 0 1 -1 1 1 -1 -1 1 -1 -1 0 4 0 0 -1 0 1] [ 0 1 1 0 1 -1 0 -1 0 0 0 2 -2 1 -2 0 0 4 0 0 -2 1] [ 2 0 0 0 1 -1 0 1 0 1 1 1 1 -1 0 -1 0 0 4 1 0 -1] [ 2 1 0 1 1 -1 -1 0 0 0 2 1 1 -1 0 0 -1 0 1 4 1 -2] [ 0 -1 -1 0 -1 1 0 1 0 0 0 -1 2 -1 2 0 0 -2 0 1 4 -1] [-1 -1 0 -1 -1 0 0 0 0 0 -2 0 -1 1 -1 0 1 1 -1 -2 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 486. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 0 0 0 -1 -2 -1 2 -1 1 0 -1 -1 1 -2 0 2 1 1] [ 2 4 -2 0 1 1 -1 -2 -2 0 2 -1 0 -1 0 -1 2 -2 -1 2 -1 0] [-2 -2 4 -1 -1 -1 -1 2 2 1 -2 1 0 0 0 1 -1 2 0 -2 0 0] [ 1 0 -1 4 -1 1 0 -1 -2 0 1 -2 2 2 -2 1 0 -1 2 1 1 2] [ 0 1 -1 -1 4 0 1 0 1 -1 1 1 0 0 0 -2 2 -1 0 1 0 0] [ 0 1 -1 1 0 4 -1 0 -2 1 0 0 1 1 -1 0 2 0 1 0 -1 1] [ 0 -1 -1 0 1 -1 4 1 2 -1 0 0 -1 0 1 0 -1 0 1 0 0 0] [-1 -2 2 -1 0 0 1 4 2 1 -1 2 0 1 0 1 -1 1 1 -1 0 1] [-2 -2 2 -2 1 -2 2 2 6 -1 -1 2 -2 0 2 0 -1 1 0 -1 -1 0] [-1 0 1 0 -1 1 -1 1 -1 4 0 0 0 0 0 0 0 0 0 0 0 0] [ 2 2 -2 1 1 0 0 -1 -1 0 4 -1 1 1 0 -1 1 -2 0 2 0 1] [-1 -1 1 -2 1 0 0 2 2 0 -1 4 -1 0 0 0 0 0 -1 -1 0 0] [ 1 0 0 2 0 1 -1 0 -2 0 1 -1 4 1 -1 0 1 -1 2 1 1 2] [ 0 -1 0 2 0 1 0 1 0 0 1 0 1 4 -2 1 0 0 1 0 1 2] [-1 0 0 -2 0 -1 1 0 2 0 0 0 -1 -2 4 -1 -1 0 0 0 -2 -1] [-1 -1 1 1 -2 0 0 1 0 0 -1 0 0 1 -1 4 -1 1 0 -1 0 1] [ 1 2 -1 0 2 2 -1 -1 -1 0 1 0 1 0 -1 -1 4 -1 0 1 0 1] [-2 -2 2 -1 -1 0 0 1 1 0 -2 0 -1 0 0 1 -1 4 0 -2 0 -1] [ 0 -1 0 2 0 1 1 1 0 0 0 -1 2 1 0 0 0 0 4 0 0 2] [ 2 2 -2 1 1 0 0 -1 -1 0 2 -1 1 0 0 -1 1 -2 0 4 1 1] [ 1 -1 0 1 0 -1 0 0 -1 0 0 0 1 1 -2 0 0 0 0 1 4 0] [ 1 0 0 2 0 1 0 1 0 0 1 0 2 2 -1 1 1 -1 2 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 487. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 2 0 1 -2 1 0 -1 -2 1 0 -1 -2 0 0 -2 -1 2] [ 0 4 -1 -1 1 0 1 0 1 2 -2 -1 1 1 1 1 2 0 1 1 -1 1] [ 1 -1 4 0 0 -1 -1 2 -1 -1 2 -1 0 1 -2 0 0 -1 -2 0 -1 2] [ 2 -1 0 4 -2 1 0 0 -2 1 0 1 -2 0 1 -1 -2 -1 0 -2 0 1] [-2 1 0 -2 4 -2 1 -1 1 -1 -1 0 2 0 0 0 1 -1 0 2 0 0] [ 2 0 -1 1 -2 4 1 0 -1 1 -1 -1 -2 1 0 0 -2 1 0 -2 -1 1] [ 0 1 -1 0 1 1 4 -1 -1 1 -2 -1 0 0 0 1 -1 0 1 0 0 0] [ 1 0 2 0 -1 0 -1 4 0 1 1 -1 0 2 0 1 1 0 -2 0 -2 0] [-2 1 -1 -2 1 -1 -1 0 4 -1 0 1 2 0 0 1 3 0 0 2 0 -2] [ 1 2 -1 1 -1 1 1 1 -1 4 -2 -1 -1 1 2 1 0 1 0 -1 -1 1] [ 0 -2 2 0 -1 -1 -2 1 0 -2 4 1 0 -1 -2 -1 0 0 -1 0 1 -1] [-1 -1 -1 1 0 -1 -1 -1 1 -1 1 4 0 -1 1 0 1 0 0 0 1 -2] [-2 1 0 -2 2 -2 0 0 2 -1 0 0 4 -1 0 0 2 0 0 2 0 -1] [ 1 1 1 0 0 1 0 2 0 1 -1 -1 -1 4 0 1 0 -1 -1 0 -2 2] [ 0 1 -2 1 0 0 0 0 0 2 -2 1 0 0 4 0 1 1 0 0 0 -1] [-1 1 0 -1 0 0 1 1 1 1 -1 0 0 1 0 4 2 0 -1 0 -1 -1] [-2 2 0 -2 1 -2 -1 1 3 0 0 1 2 0 1 2 6 1 -1 2 0 -2] [ 0 0 -1 -1 -1 1 0 0 0 1 0 0 0 -1 1 0 1 4 0 0 1 -1] [ 0 1 -2 0 0 0 1 -2 0 0 -1 0 0 -1 0 -1 -1 0 4 0 1 0] [-2 1 0 -2 2 -2 0 0 2 -1 0 0 2 0 0 0 2 0 0 4 1 -1] [-1 -1 -1 0 0 -1 0 -2 0 -1 1 1 0 -2 0 -1 0 1 1 1 4 -2] [ 2 1 2 1 0 1 0 0 -2 1 -1 -2 -1 2 -1 -1 -2 -1 0 -1 -2 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 488. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 -2 1 -1 -1 1 -1 1 -2 -1 0 0 -1 2 0 0 -2 -1 1] [-2 4 -1 1 2 1 0 1 1 2 -2 2 1 1 0 1 -1 1 -1 1 2 0] [ 0 -1 4 1 0 1 0 1 -2 -1 -1 0 1 0 0 1 -1 -2 2 0 -2 1] [-1 1 1 4 0 1 1 1 1 0 0 0 1 1 1 1 0 1 -1 1 1 0] [-2 2 0 0 4 1 1 1 -1 2 -1 2 0 -1 -1 1 -2 1 1 1 1 1] [ 1 1 1 1 1 4 -1 1 0 0 0 0 0 1 -1 0 -1 0 0 0 1 2] [-1 0 0 1 1 -1 4 1 1 1 -1 0 1 -1 0 0 1 1 0 0 -1 0] [-1 1 1 1 1 1 1 4 1 1 -2 1 2 1 1 1 -1 0 1 1 -1 1] [ 1 1 -2 1 -1 0 1 1 6 2 -1 -1 1 1 2 1 2 2 -2 -1 0 -1] [-1 2 -1 0 2 0 1 1 2 4 -1 1 0 -1 0 2 0 1 0 0 1 0] [ 1 -2 -1 0 -1 0 -1 -2 -1 -1 6 -2 -3 0 -2 -1 1 1 0 1 1 -1] [-2 2 0 0 2 0 0 1 -1 1 -2 4 0 -1 0 1 -2 0 0 0 0 0] [-1 1 1 1 0 0 1 2 1 0 -3 0 4 1 2 0 0 0 0 1 0 1] [ 0 1 0 1 -1 1 -1 1 1 -1 0 -1 1 4 0 0 0 0 -1 1 1 0] [ 0 0 0 1 -1 -1 0 1 2 0 -2 0 2 0 4 0 0 0 0 0 -1 0] [-1 1 1 1 1 0 0 1 1 2 -1 1 0 0 0 4 0 0 0 0 0 0] [ 2 -1 -1 0 -2 -1 1 -1 2 0 1 -2 0 0 0 0 4 1 -1 -1 0 0] [ 0 1 -2 1 1 0 1 0 2 1 1 0 0 0 0 0 1 4 -1 1 2 0] [ 0 -1 2 -1 1 0 0 1 -2 0 0 0 0 -1 0 0 -1 -1 4 0 -2 1] [-2 1 0 1 1 0 0 1 -1 0 1 0 1 1 0 0 -1 1 0 4 2 0] [-1 2 -2 1 1 1 -1 -1 0 1 1 0 0 1 -1 0 0 2 -2 2 6 0] [ 1 0 1 0 1 2 0 1 -1 0 -1 0 1 0 0 0 0 0 1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 489. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 1 -1 0 1 1 -1 0 2 -1 -2 2 -2 1 1 -1 1 -2 -2 -2] [-2 4 0 0 0 1 -1 -1 1 1 0 0 2 0 0 0 0 2 0 2 0 2] [ 1 0 4 0 -2 1 1 2 0 2 1 1 0 1 -2 1 -1 1 -1 0 -1 -1] [ 1 0 0 4 -2 -1 0 -1 -2 1 1 1 0 0 -2 2 -1 -1 2 0 0 -2] [-1 0 -2 -2 6 0 0 0 2 -3 -1 -1 1 0 0 -1 1 1 0 1 0 3] [ 0 1 1 -1 0 4 -1 1 2 1 1 -1 0 1 1 0 0 0 -1 0 -1 0] [ 1 -1 1 0 0 -1 4 2 0 1 -1 0 -1 1 -1 -1 -1 0 -1 -1 -1 1] [ 1 -1 2 -1 0 1 2 4 0 1 0 -1 -1 1 0 0 0 0 -1 -1 -1 1] [-1 1 0 -2 2 2 0 0 4 0 -1 0 0 0 0 -1 0 1 -2 0 0 2] [ 0 1 2 1 -3 1 1 1 0 4 0 0 0 1 0 1 -1 0 -1 0 -1 -1] [ 2 0 1 1 -1 1 -1 0 -1 0 4 0 0 1 -1 2 1 0 2 0 -1 -2] [-1 0 1 1 -1 -1 0 -1 0 0 0 4 0 -2 -1 1 -2 0 0 0 2 -1] [-2 2 0 0 1 0 -1 -1 0 0 0 0 4 -1 0 0 0 2 0 2 0 1] [ 2 0 1 0 0 1 1 1 0 1 1 -2 -1 4 -1 0 1 0 0 0 -2 0] [-2 0 -2 -2 0 1 -1 0 0 0 -1 -1 0 -1 6 -2 0 -1 -1 0 1 1] [ 1 0 1 2 -1 0 -1 0 -1 1 2 1 0 0 -2 4 0 0 2 0 0 -2] [ 1 0 -1 -1 1 0 -1 0 0 -1 1 -2 0 1 0 0 4 1 1 0 -1 0] [-1 2 1 -1 1 0 0 0 1 0 0 0 2 0 -1 0 1 4 0 2 0 2] [ 1 0 -1 2 0 -1 -1 -1 -2 -1 2 0 0 0 -1 2 1 0 4 0 0 -1] [-2 2 0 0 1 0 -1 -1 0 0 0 0 2 0 0 0 0 2 0 4 1 1] [-2 0 -1 0 0 -1 -1 -1 0 -1 -1 2 0 -2 1 0 -1 0 0 1 4 0] [-2 2 -1 -2 3 0 1 1 2 -1 -2 -1 1 0 1 -2 0 2 -1 1 0 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 490. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 1 0 -1 1 -1 0 0 -2 1 -1 0 1 2 1 0 -2 -2 2] [-2 4 2 2 -1 -1 2 -1 0 1 1 2 -2 0 -1 0 -1 0 -1 2 0 -2] [-2 2 4 1 0 0 0 -1 1 1 0 2 -2 0 -1 -1 -2 -1 0 2 0 0] [-2 2 1 4 -2 -1 1 -1 0 1 0 1 -2 0 1 1 -1 0 -1 1 2 -2] [ 1 -1 0 -2 4 0 -1 0 1 -1 1 0 2 1 -1 0 -1 0 2 0 -1 2] [ 0 -1 0 -1 0 4 -2 1 -1 -1 -1 0 2 -1 0 -1 0 -2 1 0 0 -1] [-1 2 0 1 -1 -2 4 -1 0 1 0 0 -1 0 -1 1 0 1 -2 0 1 0] [ 1 -1 -1 -1 0 1 -1 4 0 1 -1 -1 1 0 1 0 2 1 0 -1 1 1] [-1 0 1 0 1 -1 0 0 4 1 0 0 1 2 1 1 -1 1 0 0 1 2] [ 0 1 1 1 -1 -1 1 1 1 4 0 0 -1 -1 1 0 0 1 -2 0 0 1] [ 0 1 0 0 1 -1 0 -1 0 0 4 0 0 0 -1 0 0 1 1 0 -2 0] [-2 2 2 1 0 0 0 -1 0 0 0 4 -1 1 0 -1 -2 -1 0 2 0 -2] [ 1 -2 -2 -2 2 2 -1 1 1 -1 0 -1 6 0 1 0 1 -1 2 -1 1 1] [-1 0 0 0 1 -1 0 0 2 -1 0 1 0 4 0 1 -1 1 0 0 1 1] [ 0 -1 -1 1 -1 0 -1 1 1 1 -1 0 1 0 4 1 0 0 0 0 2 -1] [ 1 0 -1 1 0 -1 1 0 1 0 0 -1 0 1 1 4 0 2 -1 -1 1 1] [ 2 -1 -2 -1 -1 0 0 2 -1 0 0 -2 1 -1 0 0 4 1 0 -2 0 1] [ 1 0 -1 0 0 -2 1 1 1 1 1 -1 -1 1 0 2 1 4 -1 -1 0 2] [ 0 -1 0 -1 2 1 -2 0 0 -2 1 0 2 0 0 -1 0 -1 4 0 0 0] [-2 2 2 1 0 0 0 -1 0 0 0 2 -1 0 0 -1 -2 -1 0 4 1 -2] [-2 0 0 2 -1 0 1 1 1 0 -2 0 1 1 2 1 0 0 0 1 6 -1] [ 2 -2 0 -2 2 -1 0 1 2 1 0 -2 1 1 -1 1 1 2 0 -2 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 491. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 2 0 2 -2 0 -1 1 -1 2 0 -2 0 1 1 -1 -2 1 0 -1] [-1 4 -2 -2 1 -2 1 0 0 1 0 1 -1 1 0 1 -2 1 1 -1 1 -1] [ 2 -2 4 2 -1 1 0 -1 0 -1 -1 1 1 -1 0 -1 0 0 -2 0 -1 1] [ 2 -2 2 4 0 1 -2 -1 -1 0 -1 1 1 -1 1 -1 1 0 -1 0 -1 0] [ 0 1 -1 0 4 -2 -2 1 0 1 -1 2 1 1 -1 0 -1 1 1 -1 -1 -1] [ 2 -2 1 1 -2 6 0 -1 1 -1 -1 -2 0 -2 -1 0 2 -1 -2 1 0 -1] [-2 1 0 -2 -2 0 6 -1 0 0 0 -3 -2 2 0 -1 -2 0 0 0 2 1] [ 0 0 -1 -1 1 -1 -1 4 1 0 0 0 -1 0 1 2 1 0 1 0 1 1] [-1 0 0 -1 0 1 0 1 4 -1 0 -1 1 -1 0 1 0 0 1 0 -1 0] [ 1 1 -1 0 1 -1 0 0 -1 4 1 1 -1 0 0 1 0 -1 1 1 1 -1] [-1 0 -1 -1 -1 -1 0 0 0 1 4 -1 0 0 0 0 1 0 2 0 0 0] [ 2 1 1 1 2 -2 -3 0 -1 1 -1 6 0 0 0 1 -1 1 -1 -1 -1 -1] [ 0 -1 1 1 1 0 -2 -1 1 -1 0 0 4 -1 -1 -1 0 0 0 0 -2 0] [-2 1 -1 -1 1 -2 2 0 -1 0 0 0 -1 4 0 -1 -2 2 1 -2 1 0] [ 0 0 0 1 -1 -1 0 1 0 0 0 0 -1 0 4 1 0 -1 0 0 1 1] [ 1 1 -1 -1 0 0 -1 2 1 1 0 1 -1 -1 1 4 1 -1 0 1 1 0] [ 1 -2 0 1 -1 2 -2 1 0 0 1 -1 0 -2 0 1 4 -1 0 1 0 1] [-1 1 0 0 1 -1 0 0 0 -1 0 1 0 2 -1 -1 -1 4 1 -2 0 0] [-2 1 -2 -1 1 -2 0 1 1 1 2 -1 0 1 0 0 0 1 4 -1 0 0] [ 1 -1 0 0 -1 1 0 0 0 1 0 -1 0 -2 0 1 1 -2 -1 4 1 0] [ 0 1 -1 -1 -1 0 2 1 -1 1 0 -1 -2 1 1 1 0 0 0 1 4 0] [-1 -1 1 0 -1 -1 1 1 0 -1 0 -1 0 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 492. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 -1 0 -2 0 -2 1 0 0 -1 2 0 0 -1 2 1 1 0 -1 0] [-2 4 -1 2 1 2 0 0 0 0 0 1 -2 1 0 2 -2 -1 -1 0 1 0] [ 1 -1 4 1 -2 -1 0 0 0 0 0 -2 -1 -1 0 -1 2 0 1 0 0 1] [-1 2 1 4 -1 1 0 0 0 0 -1 1 -1 0 1 0 -1 0 -1 -1 0 0] [ 0 1 -2 -1 4 1 -1 -1 -1 1 1 0 0 2 0 1 -1 1 0 1 -1 0] [-2 2 -1 1 1 4 1 1 -1 0 -1 0 0 1 1 0 -1 -1 0 -1 1 -1] [ 0 0 0 0 -1 1 4 -1 0 0 -2 -1 2 -1 -1 0 1 0 -1 -2 0 -2] [-2 0 0 0 -1 1 -1 4 0 0 0 0 -2 0 0 0 -1 -1 0 0 1 1] [ 1 0 0 0 -1 -1 0 0 4 1 -1 -1 0 1 -1 0 1 -1 1 -1 1 -1] [ 0 0 0 0 1 0 0 0 1 4 -1 -2 0 1 -1 1 1 1 1 -1 -1 0] [ 0 0 0 -1 1 -1 -2 0 -1 -1 4 0 -1 1 1 1 -1 0 0 2 0 1] [-1 1 -2 1 0 0 -1 0 -1 -2 0 6 0 -1 0 -1 -2 1 -2 0 0 1] [ 2 -2 -1 -1 0 0 2 -2 0 0 -1 0 6 -1 1 -2 2 0 1 -1 0 -2] [ 0 1 -1 0 2 1 -1 0 1 1 1 -1 -1 4 0 1 -1 0 0 0 0 0] [ 0 0 0 1 0 1 -1 0 -1 -1 1 0 1 0 4 0 -1 -1 1 1 1 -1] [-1 2 -1 0 1 0 0 0 0 1 1 -1 -2 1 0 4 -2 0 -1 1 0 0] [ 2 -2 2 -1 -1 -1 1 -1 1 1 -1 -2 2 -1 -1 -2 4 0 2 -1 0 0] [ 1 -1 0 0 1 -1 0 -1 -1 1 0 1 0 0 -1 0 0 4 -1 0 -2 1] [ 1 -1 1 -1 0 0 -1 0 1 1 0 -2 1 0 1 -1 2 -1 4 0 1 0] [ 0 0 0 -1 1 -1 -2 0 -1 -1 2 0 -1 0 1 1 -1 0 0 4 1 1] [-1 1 0 0 -1 1 0 1 1 -1 0 0 0 0 1 0 0 -2 1 1 4 -1] [ 0 0 1 0 0 -1 -2 1 -1 0 1 1 -2 0 -1 0 0 1 0 1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 493. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 0 0 -2 0 -1 -2 2 -1 -2 -1 0 1 2 1 -1 -1 1 0] [-2 4 0 -1 1 1 1 0 0 0 -2 1 1 0 0 0 -1 0 1 0 -1 1] [-2 0 4 -1 -1 0 2 0 1 2 -1 -1 2 2 1 0 -2 -1 0 1 0 1] [ 1 -1 -1 4 1 1 0 -1 0 -2 0 0 -1 -1 0 -1 0 0 1 0 1 0] [ 0 1 -1 1 4 2 -1 1 1 -2 -1 2 0 0 1 1 1 -1 2 1 -1 1] [ 0 1 0 1 2 4 -1 1 1 -1 -1 1 -1 1 0 0 -1 0 1 0 -1 1] [-2 1 2 0 -1 -1 4 0 1 2 -1 0 2 1 1 0 -1 0 1 0 1 1] [ 0 0 0 -1 1 1 0 4 0 0 0 1 -1 1 0 1 1 0 1 0 0 0] [-1 0 1 0 1 1 1 0 4 0 -1 1 0 1 1 0 0 0 0 0 -1 1] [-2 0 2 -2 -2 -1 2 0 0 6 -1 0 3 1 -1 -1 -2 1 -1 -1 0 -1] [ 2 -2 -1 0 -1 -1 -1 0 -1 -1 4 0 -2 -1 1 1 1 1 -1 -1 0 0] [-1 1 -1 0 2 1 0 1 1 0 0 4 -1 -1 0 1 0 1 1 -1 -2 1] [-2 1 2 -1 0 -1 2 -1 0 3 -2 -1 6 2 0 0 -1 -2 0 1 1 0] [-1 0 2 -1 0 1 1 1 1 1 -1 -1 2 4 0 1 0 -1 0 1 1 0] [ 0 0 1 0 1 0 1 0 1 -1 1 0 0 0 4 1 0 -1 1 1 0 2] [ 1 0 0 -1 1 0 0 1 0 -1 1 1 0 1 1 4 2 0 0 0 0 2] [ 2 -1 -2 0 1 -1 -1 1 0 -2 1 0 -1 0 0 2 4 0 0 0 1 0] [ 1 0 -1 0 -1 0 0 0 0 1 1 1 -2 -1 -1 0 0 4 -1 -2 0 0] [-1 1 0 1 2 1 1 1 0 -1 -1 1 0 0 1 0 0 -1 4 1 0 1] [-1 0 1 0 1 0 0 0 0 -1 -1 -1 1 1 1 0 0 -2 1 4 1 0] [ 1 -1 0 1 -1 -1 1 0 -1 0 0 -2 1 1 0 0 1 0 0 1 4 -1] [ 0 1 1 0 1 1 1 0 1 -1 0 1 0 0 2 2 0 0 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 494. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 2 -1 0 -1 -2 0 1 -1 0 0 2 -1 0 -1 0 0 -1] [ 2 4 -1 1 2 2 -1 1 -1 -2 -1 0 -1 1 0 1 1 0 -2 1 0 -1] [ 0 -1 4 1 -1 0 2 0 1 1 0 1 -1 0 0 -1 -2 0 0 0 0 0] [ 1 1 1 4 0 1 -1 1 0 1 -1 1 -2 1 0 -1 0 1 -2 1 0 1] [ 2 2 -1 0 4 0 -1 -1 0 -1 -1 1 -1 -1 0 2 0 1 -1 -1 0 -2] [ 2 2 0 1 0 4 0 1 -2 -2 0 0 -1 1 0 1 0 0 -1 1 0 1] [-1 -1 2 -1 -1 0 4 0 1 0 0 1 1 -1 -1 0 -1 -1 1 -1 1 0] [ 0 1 0 1 -1 1 0 4 -1 0 0 1 -1 2 1 -1 0 1 -2 2 -1 1] [-1 -1 1 0 0 -2 1 -1 4 2 -1 0 1 -1 0 0 0 -1 1 -1 0 -1] [-2 -2 1 1 -1 -2 0 0 2 6 -2 1 1 -1 2 -1 -1 0 1 -1 -2 0] [ 0 -1 0 -1 -1 0 0 0 -1 -2 4 -1 0 0 0 -1 1 1 1 0 0 1] [ 1 0 1 1 1 0 1 1 0 1 -1 4 0 -1 1 1 -1 0 -1 -1 -1 -1] [-1 -1 -1 -2 -1 -1 1 -1 1 1 0 0 4 -1 0 1 0 -2 2 -1 0 -1] [ 0 1 0 1 -1 1 -1 2 -1 -1 0 -1 -1 4 -1 -1 0 1 -2 2 0 1] [ 0 0 0 0 0 0 -1 1 0 2 0 1 0 -1 4 0 0 0 0 0 -2 0] [ 2 1 -1 -1 2 1 0 -1 0 -1 -1 1 1 -1 0 4 0 -1 0 -1 0 -1] [-1 1 -2 0 0 0 -1 0 0 -1 1 -1 0 0 0 0 4 0 0 0 0 1] [ 0 0 0 1 1 0 -1 1 -1 0 1 0 -2 1 0 -1 0 4 -1 1 0 1] [-1 -2 0 -2 -1 -1 1 -2 1 1 1 -1 2 -2 0 0 0 -1 4 -2 0 0] [ 0 1 0 1 -1 1 -1 2 -1 -1 0 -1 -1 2 0 -1 0 1 -2 4 1 1] [ 0 0 0 0 0 0 1 -1 0 -2 0 -1 0 0 -2 0 0 0 0 1 4 0] [-1 -1 0 1 -2 1 0 1 -1 0 1 -1 -1 1 0 -1 1 1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 495. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 1 -1 0 1 -1 0 1 1 2 1 1 1 -2 -1 2 -1 -1] [ 1 4 2 1 1 1 -2 1 1 -1 0 0 2 1 2 2 -1 -2 -2 2 -1 1] [ 2 2 4 1 0 2 -2 0 1 0 0 1 0 1 0 1 1 -2 -1 2 0 1] [-1 1 1 4 -1 0 0 1 1 -1 0 1 -1 1 -1 -1 -1 1 1 -1 0 1] [ 2 1 0 -1 4 -1 -1 1 0 -2 0 1 2 2 2 2 -1 -1 -1 1 -2 -1] [ 1 1 2 0 -1 4 0 -1 0 1 1 1 0 0 0 1 2 -2 0 2 0 1] [-1 -2 -2 0 -1 0 4 -1 -1 1 0 0 -1 0 -1 -1 0 1 1 -1 0 -1] [ 0 1 0 1 1 -1 -1 4 2 0 0 0 1 1 1 0 0 -1 0 1 -1 1] [ 1 1 1 1 0 0 -1 2 4 -1 -1 0 0 1 0 -1 1 -1 1 1 -1 0] [-1 -1 0 -1 -2 1 1 0 -1 6 2 -2 -1 -1 -1 0 1 -2 0 2 2 2] [ 0 0 0 0 0 1 0 0 -1 2 4 -1 1 1 0 1 0 -2 0 2 0 1] [ 1 0 1 1 1 1 0 0 0 -2 -1 4 0 1 0 0 0 0 0 0 0 -1] [ 1 2 0 -1 2 0 -1 1 0 -1 1 0 4 1 2 2 -1 -2 -2 2 -1 0] [ 2 1 1 1 2 0 0 1 1 -1 1 1 1 4 1 1 -1 -1 0 1 -1 -1] [ 1 2 0 -1 2 0 -1 1 0 -1 0 0 2 1 4 2 -1 -2 -2 1 -1 0] [ 1 2 1 -1 2 1 -1 0 -1 0 1 0 2 1 2 4 0 -2 -2 2 -1 1] [ 1 -1 1 -1 -1 2 0 0 1 1 0 0 -1 -1 -1 0 4 -1 1 1 0 1] [-2 -2 -2 1 -1 -2 1 -1 -1 -2 -2 0 -2 -1 -2 -2 -1 6 2 -4 1 -1] [-1 -2 -1 1 -1 0 1 0 1 0 0 0 -2 0 -2 -2 1 2 4 -2 0 0] [ 2 2 2 -1 1 2 -1 1 1 2 2 0 2 1 1 2 1 -4 -2 6 0 1] [-1 -1 0 0 -2 0 0 -1 -1 2 0 0 -1 -1 -1 -1 0 1 0 0 4 0] [-1 1 1 1 -1 1 -1 1 0 2 1 -1 0 -1 0 1 1 -1 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 496. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 -1 2 -1 0 0 -1 2 2 1 1 -1 -2 -1 2 -1 2 2 -1] [ 0 4 0 0 0 2 1 -2 0 -1 1 0 1 -1 -1 0 2 -1 2 1 1 0] [ 0 0 4 -2 -2 -1 0 0 -2 1 0 2 0 -1 1 0 -1 -2 0 0 2 0] [ 0 0 -2 4 2 1 1 1 1 0 0 -2 -1 0 -1 0 0 0 0 0 0 -1] [-1 0 -2 2 4 -1 0 1 1 -1 -1 -2 -1 1 -1 1 1 1 0 -1 -2 0] [ 2 2 -1 1 -1 6 2 -1 2 0 2 0 0 -1 -1 0 0 1 0 2 1 -2] [-1 1 0 1 0 2 4 -1 0 0 -1 -2 0 -1 1 0 1 -2 0 -1 1 0] [ 0 -2 0 1 1 -1 -1 4 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0] [ 0 0 -2 1 1 2 0 0 4 1 1 0 0 1 0 1 -1 2 -1 1 -2 0] [-1 -1 1 0 -1 0 0 0 1 4 0 1 -1 0 1 1 -1 0 -1 0 -1 0] [ 2 1 0 0 -1 2 -1 0 1 0 4 1 1 1 0 0 -1 1 0 2 1 -1] [ 2 0 2 -2 -2 0 -2 0 0 1 1 6 1 0 -1 -2 -1 2 -1 1 1 1] [ 1 1 0 -1 -1 0 0 -1 0 -1 1 1 4 0 1 -2 1 -1 1 1 2 1] [ 1 -1 -1 0 1 -1 -1 0 1 0 1 0 0 4 0 0 -1 2 -2 0 -1 1] [-1 -1 1 -1 -1 -1 1 0 0 1 0 -1 1 0 4 1 -1 -2 0 0 1 0] [-2 0 0 0 1 0 0 0 1 1 0 -2 -2 0 1 4 -1 0 0 0 -2 -1] [-1 2 -1 0 1 0 1 -1 -1 -1 -1 -1 1 -1 -1 -1 4 -1 2 -1 0 1] [ 2 -1 -2 0 1 1 -2 0 2 0 1 2 -1 2 -2 0 -1 6 -2 1 -2 0] [-1 2 0 0 0 0 0 0 -1 -1 0 -1 1 -2 0 0 2 -2 4 0 1 0] [ 2 1 0 0 -1 2 -1 0 1 0 2 1 1 0 0 0 -1 1 0 4 2 -1] [ 2 1 2 0 -2 1 1 0 -2 -1 1 1 2 -1 1 -2 0 -2 1 2 6 -1] [-1 0 0 -1 0 -2 0 0 0 0 -1 1 1 1 0 -1 1 0 0 -1 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 497. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 1 2 -1 1 -1 -1 2 1 0 0 1 1 -1 -1 2 1 -1 -2] [ 1 4 0 -2 0 1 -2 -1 -2 0 2 0 -1 -1 0 1 -2 0 0 0 1 -1] [ 2 0 4 0 2 1 0 2 1 -1 2 2 -1 -1 2 -1 1 -2 1 2 0 0] [-1 -2 0 4 1 0 0 0 1 -1 0 1 1 1 1 -2 1 -1 -1 1 0 1] [ 1 0 2 1 4 1 -1 0 0 -1 2 1 1 1 2 -2 1 -1 0 1 0 -1] [ 2 1 1 0 1 4 0 1 -2 -1 2 1 -1 -1 0 0 0 -1 1 1 -1 -2] [-1 -2 0 0 -1 0 4 2 0 1 -2 0 -1 -1 -1 0 1 0 1 0 -1 1] [ 1 -1 2 0 0 1 2 4 1 -1 0 1 -1 -1 1 0 1 -1 2 1 0 0] [-1 -2 1 1 0 -2 0 1 6 -1 -2 -1 1 1 0 0 1 1 -1 -1 0 2] [-1 0 -1 -1 -1 -1 1 -1 -1 4 -2 -1 0 0 -1 0 1 1 0 -1 -1 1] [ 2 2 2 0 2 2 -2 0 -2 -2 6 1 -1 -1 1 -1 0 -1 1 1 1 -2] [ 1 0 2 1 1 1 0 1 -1 -1 1 4 -1 0 2 -1 0 -2 0 2 0 0] [ 0 -1 -1 1 1 -1 -1 -1 1 0 -1 -1 4 2 0 0 0 0 -1 -1 0 0] [ 0 -1 -1 1 1 -1 -1 -1 1 0 -1 0 2 4 0 0 0 1 -1 -1 0 0] [ 1 0 2 1 2 0 -1 1 0 -1 1 2 0 0 4 -2 0 -2 1 2 0 0] [ 1 1 -1 -2 -2 0 0 0 0 0 -1 -1 0 0 -2 4 -1 1 0 -1 0 0] [-1 -2 1 1 1 0 1 1 1 1 0 0 0 0 0 -1 4 0 0 0 0 1] [-1 0 -2 -1 -1 -1 0 -1 1 1 -1 -2 0 1 -2 1 0 4 0 -2 0 0] [ 2 0 1 -1 0 1 1 2 -1 0 1 0 -1 -1 1 0 0 0 4 0 -1 -1] [ 1 0 2 1 1 1 0 1 -1 -1 1 2 -1 -1 2 -1 0 -2 0 4 1 0] [-1 1 0 0 0 -1 -1 0 0 -1 1 0 0 0 0 0 0 0 -1 1 4 0] [-2 -1 0 1 -1 -2 1 0 2 1 -2 0 0 0 0 0 1 0 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 498. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 2 -1 -1 1 2 2 0 0 -1 0 0 -1 0 -2 0 -2 1 0] [-2 4 2 -1 0 2 0 1 -2 -2 1 -1 -1 1 -1 1 -1 0 0 0 -2 0] [-2 2 4 -1 0 0 1 0 -2 -2 0 -1 1 1 0 1 -1 2 -1 2 0 1] [ 0 -1 -1 4 -2 -2 -1 -2 -1 1 -1 0 2 -1 -1 -2 0 0 1 0 2 1] [ 2 0 0 -2 6 -1 -1 1 3 1 -1 -2 -2 -1 -1 0 -2 -1 -2 -1 0 -1] [-1 2 0 -2 -1 6 2 2 -2 -2 2 0 0 2 0 3 0 1 2 -2 -4 0] [-1 0 1 -1 -1 2 4 1 -2 -1 1 1 2 1 0 1 1 1 1 1 -2 1] [ 1 1 0 -2 1 2 1 4 0 0 2 0 -2 2 -1 1 1 0 1 -2 -1 -1] [ 2 -2 -2 -1 3 -2 -2 0 6 2 -2 0 -2 -2 1 0 -1 -2 -1 0 1 -2] [ 2 -2 -2 1 1 -2 -1 0 2 4 -1 1 -1 -1 0 -1 0 -2 -1 0 2 0] [ 0 1 0 -1 -1 2 1 2 -2 -1 4 0 0 1 0 1 2 0 1 -1 -2 -1] [ 0 -1 -1 0 -2 0 1 0 0 1 0 4 -1 1 1 0 1 0 0 0 0 0] [-1 -1 1 2 -2 0 2 -2 -2 -1 0 -1 6 -1 0 0 0 1 1 2 0 2] [ 0 1 1 -1 -1 2 1 2 -2 -1 1 1 -1 4 0 1 0 2 1 -2 0 0] [ 0 -1 0 -1 -1 0 0 -1 1 0 0 1 0 0 4 1 0 -1 -1 1 0 0] [-1 1 1 -2 0 3 1 1 0 -1 1 0 0 1 1 4 0 1 0 0 -2 0] [ 0 -1 -1 0 -2 0 1 1 -1 0 2 1 0 0 0 0 4 0 1 0 0 0] [-2 0 2 0 -1 1 1 0 -2 -2 0 0 1 2 -1 1 0 6 1 0 1 0] [ 0 0 -1 1 -2 2 1 1 -1 -1 1 0 1 1 -1 0 1 1 4 -2 -1 0] [-2 0 2 0 -1 -2 1 -2 0 0 -1 0 2 -2 1 0 0 0 -2 6 1 1] [ 1 -2 0 2 0 -4 -2 -1 1 2 -2 0 0 0 0 -2 0 1 -1 1 6 0] [ 0 0 1 1 -1 0 1 -1 -2 0 -1 0 2 0 0 0 0 0 0 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 499. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 1 -2 0 -2 0 -1 1 -1 1 -1 -1 1 2 -1 1 1 1 0] [ 0 4 -1 -1 -1 -1 -2 -1 0 -1 0 -2 -1 2 1 -1 0 0 -1 0 -1 2] [ 1 -1 4 0 -1 -1 2 1 -1 -1 -1 1 0 0 0 0 -1 1 1 -1 0 0] [ 2 -1 0 4 1 -1 1 -2 0 -1 0 0 0 -1 0 0 1 0 0 0 2 0] [ 1 -1 -1 1 4 -1 -1 -2 1 0 0 1 2 0 -2 0 2 0 0 0 1 0] [-2 -1 -1 -1 -1 4 0 1 -1 1 0 1 -1 0 1 0 -2 0 -1 0 0 0] [ 0 -2 2 1 -1 0 4 1 0 0 -1 1 -1 -1 1 1 -1 1 0 -1 1 -1] [-2 -1 1 -2 -2 1 1 6 1 2 1 1 0 0 0 -1 -1 -1 0 1 0 0] [ 0 0 -1 0 1 -1 0 1 4 1 0 0 1 0 -1 1 1 0 0 0 0 0] [-1 -1 -1 -1 0 1 0 2 1 4 0 0 1 -1 -1 0 1 0 1 0 0 -1] [ 1 0 -1 0 0 0 -1 1 0 0 4 -1 1 0 0 0 1 -2 0 2 0 0] [-1 -2 1 0 1 1 1 1 0 0 -1 4 0 0 -1 0 -1 0 -1 -1 1 0] [ 1 -1 0 0 2 -1 -1 0 1 1 1 0 4 -1 -1 0 2 -1 2 1 0 0] [-1 2 0 -1 0 0 -1 0 0 -1 0 0 -1 4 0 -1 -1 1 -2 -1 0 2] [-1 1 0 0 -2 1 1 0 -1 -1 0 -1 -1 0 4 -1 -2 0 0 0 -1 1] [ 1 -1 0 0 0 0 1 -1 1 0 0 0 0 -1 -1 4 1 0 0 0 0 -1] [ 2 0 -1 1 2 -2 -1 -1 1 1 1 -1 2 -1 -2 1 4 -1 1 1 1 0] [-1 0 1 0 0 0 1 -1 0 0 -2 0 -1 1 0 0 -1 4 0 -2 0 0] [ 1 -1 1 0 0 -1 0 0 0 1 0 -1 2 -2 0 0 1 0 4 0 -1 -1] [ 1 0 -1 0 0 0 -1 1 0 0 2 -1 1 -1 0 0 1 -2 0 4 1 0] [ 1 -1 0 2 1 0 1 0 0 0 0 1 0 0 -1 0 1 0 -1 1 4 0] [ 0 2 0 0 0 0 -1 0 0 -1 0 0 0 2 1 -1 0 0 -1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 500. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 1 0 -1 2 -1 -1 -1 -2 -1 1 0 0 1 1 -2 -1 1] [ 1 4 0 0 1 2 -1 -1 -1 0 -1 -2 0 0 1 -1 -1 1 1 0 0 2] [ 2 0 4 -2 0 1 1 1 1 0 0 1 -2 -1 0 -1 -1 1 -1 -2 -1 0] [-2 0 -2 4 1 -1 -1 -1 -2 1 1 1 2 1 0 -1 1 -1 1 2 1 1] [-1 1 0 1 4 -1 1 1 -1 2 1 -1 0 -1 -1 -1 1 -1 0 0 1 1] [ 1 2 1 -1 -1 4 -1 -1 -1 -1 0 0 0 1 1 -1 -1 2 0 0 0 1] [ 0 -1 1 -1 1 -1 4 0 0 1 0 0 -1 0 -2 -1 0 -1 0 -1 -1 0] [-1 -1 1 -1 1 -1 0 4 1 1 1 1 0 -1 0 1 -1 0 -2 0 0 -2] [ 2 -1 1 -2 -1 -1 0 1 4 0 0 -1 -2 -2 1 2 0 0 -1 -2 0 -1] [-1 0 0 1 2 -1 1 1 0 4 1 1 0 0 -1 0 0 0 0 0 1 1] [-1 -1 0 1 1 0 0 1 0 1 4 2 0 -1 0 0 1 -1 0 0 2 0] [-1 -2 1 1 -1 0 0 1 -1 1 2 6 0 0 0 -1 0 1 0 0 0 -1] [-2 0 -2 2 0 0 -1 0 -2 0 0 0 4 2 -1 0 0 0 0 2 0 0] [-1 0 -1 1 -1 1 0 -1 -2 0 -1 0 2 4 -1 0 -1 0 1 2 -1 1] [ 1 1 0 0 -1 1 -2 0 1 -1 0 0 -1 -1 4 1 0 1 0 0 1 0] [ 0 -1 -1 -1 -1 -1 -1 1 2 0 0 -1 0 0 1 4 0 0 0 0 1 -1] [ 0 -1 -1 1 1 -1 0 -1 0 0 1 0 0 -1 0 0 4 0 1 0 1 0] [ 1 1 1 -1 -1 2 -1 0 0 0 -1 1 0 0 1 0 0 4 0 0 0 0] [ 1 1 -1 1 0 0 0 -2 -1 0 0 0 0 1 0 0 1 0 4 0 0 2] [-2 0 -2 2 0 0 -1 0 -2 0 0 0 2 2 0 0 0 0 0 4 1 0] [-1 0 -1 1 1 0 -1 0 0 1 2 0 0 -1 1 1 1 0 0 1 4 0] [ 1 2 0 1 1 1 0 -2 -1 1 0 -1 0 1 0 -1 0 0 2 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 501. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 1 1 -1 2 -1 2 1 1 2 2 2 -2 -1 1 1 -1 1] [ 2 4 0 0 1 1 0 -1 1 -1 1 1 1 1 2 2 -2 -2 -1 1 -1 1] [ 2 0 6 3 0 -2 2 -2 0 2 0 -2 2 2 3 0 1 -2 0 -2 -2 -2] [ 1 0 3 4 1 -2 0 -2 -1 2 1 0 2 1 2 -1 1 -2 -1 0 -2 -2] [ 0 1 0 1 4 -2 -1 -1 1 0 -1 2 1 -1 0 1 -1 0 -1 2 -1 -2] [ 1 1 -2 -2 -2 6 1 2 0 -2 0 1 -1 0 -2 2 -2 1 1 1 1 3] [ 1 0 2 0 -1 1 4 1 0 0 -1 -2 1 1 0 0 1 0 1 -2 -1 -1] [-1 -1 -2 -2 -1 2 1 4 0 -1 -2 0 -2 0 -2 0 1 1 1 0 2 1] [ 2 1 0 -1 1 0 0 0 4 -2 1 2 0 0 0 2 -2 0 1 2 0 1] [-1 -1 2 2 0 -2 0 -1 -2 4 -1 -2 1 1 2 -2 1 0 0 -2 -1 -1] [ 2 1 0 1 -1 0 -1 -2 1 -1 6 2 1 0 2 1 -2 -2 -1 2 -1 2] [ 1 1 -2 0 2 1 -2 0 2 -2 2 6 -1 -1 -1 2 -2 -1 -1 4 0 1] [ 1 1 2 2 1 -1 1 -2 0 1 1 -1 4 0 1 0 -1 -1 -1 0 -2 -1] [ 2 1 2 1 -1 0 1 0 0 1 0 -1 0 4 3 0 1 -1 1 -1 0 1] [ 2 2 3 2 0 -2 0 -2 0 2 2 -1 1 3 6 0 0 -2 0 -1 -1 1] [ 2 2 0 -1 1 2 0 0 2 -2 1 2 0 0 0 4 -3 0 0 2 0 1] [-2 -2 1 1 -1 -2 1 1 -2 1 -2 -2 -1 1 0 -3 6 -1 0 -2 1 -2] [-1 -2 -2 -2 0 1 0 1 0 0 -2 -1 -1 -1 -2 0 -1 6 2 -1 1 1] [ 1 -1 0 -1 -1 1 1 1 1 0 -1 -1 -1 1 0 0 0 2 4 -1 1 1] [ 1 1 -2 0 2 1 -2 0 2 -2 2 4 0 -1 -1 2 -2 -1 -1 6 1 1] [-1 -1 -2 -2 -1 1 -1 2 0 -1 -1 0 -2 0 -1 0 1 1 1 1 4 1] [ 1 1 -2 -2 -2 3 -1 1 1 -1 2 1 -1 1 1 1 -2 1 1 1 1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 502. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 1 -1 -1 2 2 1 0 -2 0 0 -1 0 1 1 2 1 0] [-2 4 -2 2 2 -1 2 0 -2 -1 0 1 2 -1 1 0 0 0 -2 -1 -1 -1] [ 2 -2 4 -2 0 0 -1 0 1 1 1 0 -1 0 0 0 0 0 1 2 1 1] [-2 2 -2 4 1 -1 0 1 -1 -2 -1 1 2 0 0 0 0 0 -2 0 -1 0] [-2 2 0 1 4 -2 1 1 -1 -1 -1 1 1 -1 1 1 -1 -1 -2 0 0 1] [ 1 -1 0 -1 -2 4 1 0 0 2 2 0 -1 1 -1 -1 1 1 1 -1 1 -1] [-1 2 -1 0 1 1 4 1 -2 1 0 0 0 -1 1 -1 1 1 -1 -1 0 0] [-1 0 0 1 1 0 1 4 -1 -1 0 -1 -1 1 -1 1 1 -1 0 -1 -1 1] [ 2 -2 1 -1 -1 0 -2 -1 4 0 -1 -1 -1 1 -1 -1 0 1 0 1 1 1] [ 2 -1 1 -2 -1 2 1 -1 0 4 1 1 -1 -1 1 -1 0 1 1 1 2 -1] [ 1 0 1 -1 -1 2 0 0 -1 1 4 0 0 1 -1 0 0 0 1 -1 0 -1] [ 0 1 0 1 1 0 0 -1 -1 1 0 4 1 -2 2 0 -1 0 -1 2 1 -1] [-2 2 -1 2 1 -1 0 -1 -1 -1 0 1 4 0 0 0 -1 0 -1 0 0 -1] [ 0 -1 0 0 -1 1 -1 1 1 -1 1 -2 0 4 -2 0 1 -1 1 -2 0 0] [ 0 1 0 0 1 -1 1 -1 -1 1 -1 2 0 -2 4 -1 -1 0 -1 2 0 0] [-1 0 0 0 1 -1 -1 1 -1 -1 0 0 0 0 -1 4 -1 -2 1 0 0 -1] [ 0 0 0 0 -1 1 1 1 0 0 0 -1 -1 1 -1 -1 4 1 1 -2 -1 0] [ 1 0 0 0 -1 1 1 -1 1 1 0 0 0 -1 0 -2 1 4 -1 0 0 1] [ 1 -2 1 -2 -2 1 -1 0 0 1 1 -1 -1 1 -1 1 1 -1 4 -1 0 -1] [ 2 -1 2 0 0 -1 -1 -1 1 1 -1 2 0 -2 2 0 -2 0 -1 6 2 0] [ 1 -1 1 -1 0 1 0 -1 1 2 0 1 0 0 0 0 -1 0 0 2 4 -1] [ 0 -1 1 0 1 -1 0 1 1 -1 -1 -1 -1 0 0 -1 0 1 -1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 503. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -2 1 -1 1 0 -1 0 0 2 -2 -1 1 1 2 2 -1 -2 -1 2] [ 0 4 1 0 1 -1 1 -1 2 1 -2 2 0 -1 1 1 1 1 -1 0 0 -2] [ 0 1 4 1 1 -1 1 -2 -1 1 0 2 1 0 -1 1 0 2 1 1 -1 -2] [-2 0 1 4 -1 0 -1 0 0 0 1 -1 2 1 -2 -1 -1 -1 0 2 1 -1] [ 1 1 1 -1 4 1 2 -2 1 -1 -1 2 -1 1 -1 1 2 1 -1 -1 -2 1] [-1 -1 -1 0 1 4 -1 -1 1 -2 1 -2 0 1 -1 -1 0 -1 1 0 0 0] [ 1 1 1 -1 2 -1 4 0 1 0 -2 2 -1 -1 1 2 1 1 -1 -1 -2 1] [ 0 -1 -2 0 -2 -1 0 4 0 1 0 -2 -1 0 2 0 0 -1 0 -1 1 2] [-1 2 -1 0 1 1 1 0 4 0 -2 0 0 0 1 0 0 -1 -1 0 0 -1] [ 0 1 1 0 -1 -2 0 1 0 4 0 1 0 0 1 0 -1 0 1 0 0 -1] [ 0 -2 0 1 -1 1 -2 0 -2 0 4 -2 0 1 -1 -2 0 -1 1 0 0 0] [ 2 2 2 -1 2 -2 2 -2 0 1 -2 6 -1 -1 0 1 1 2 -1 -1 -2 0] [-2 0 1 2 -1 0 -1 -1 0 0 0 -1 4 1 -1 0 -2 0 0 2 1 -2] [-1 -1 0 1 1 1 -1 0 0 0 1 -1 1 4 -2 -1 0 -1 0 0 0 1] [ 1 1 -1 -2 -1 -1 1 2 1 1 -1 0 -1 -2 6 2 0 1 -1 -1 1 0] [ 1 1 1 -1 1 -1 2 0 0 0 -2 1 0 -1 2 4 1 2 -1 0 0 1] [ 2 1 0 -1 2 0 1 0 0 -1 0 1 -2 0 0 1 4 1 -1 -2 -1 2] [ 2 1 2 -1 1 -1 1 -1 -1 0 -1 2 0 -1 1 2 1 4 0 0 0 0] [-1 -1 1 0 -1 1 -1 0 -1 1 1 -1 0 0 -1 -1 -1 0 4 0 0 -1] [-2 0 1 2 -1 0 -1 -1 0 0 0 -1 2 0 -1 0 -2 0 0 4 2 -2] [-1 0 -1 1 -2 0 -2 1 0 0 0 -2 1 0 1 0 -1 0 0 2 4 -1] [ 2 -2 -2 -1 1 0 1 2 -1 -1 0 0 -2 1 0 1 2 0 -1 -2 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 504. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 1 1 -1 0 -1 -1 1 1 1 -1 0 0 1 -1 0 0] [-2 4 -2 2 1 -1 -1 -1 0 -1 0 1 -2 -2 0 -1 0 -1 -1 0 0 -1] [ 2 -2 4 -2 -1 1 0 0 0 1 -1 0 2 0 -1 0 0 1 0 -1 0 -1] [-2 2 -2 4 1 0 0 -1 0 0 1 1 -1 0 0 0 1 0 -1 1 -1 0] [ 0 1 -1 1 4 -2 -1 -1 -2 -1 1 1 0 0 0 1 0 0 -1 1 0 1] [-1 -1 1 0 -2 4 0 1 1 1 0 -1 0 1 -1 1 1 1 1 0 -1 0] [ 1 -1 0 0 -1 0 4 1 1 1 1 -1 1 1 0 0 0 -1 1 1 0 0] [ 1 -1 0 -1 -1 1 1 4 0 1 -1 -1 0 0 0 0 -1 -1 1 -1 1 0] [-1 0 0 0 -2 1 1 0 4 0 0 -1 -1 -1 0 0 0 1 -1 0 0 -1] [ 0 -1 1 0 -1 1 1 1 0 4 1 -1 1 1 0 -1 1 0 1 1 -1 -1] [-1 0 -1 1 1 0 1 -1 0 1 4 -1 0 1 1 1 0 1 0 2 -1 0] [-1 1 0 1 1 -1 -1 -1 -1 -1 -1 4 1 -1 -2 0 -1 -1 -1 -1 1 1] [ 1 -2 2 -1 0 0 1 0 -1 1 0 1 4 1 -1 1 -1 0 1 0 1 1] [ 1 -2 0 0 0 1 1 0 -1 1 1 -1 1 4 0 0 1 1 2 1 -1 2] [ 1 0 -1 0 0 -1 0 0 0 0 1 -2 -1 0 4 0 0 1 1 1 0 -1] [-1 -1 0 0 1 1 0 0 0 -1 1 0 1 0 0 4 -1 1 0 1 1 1] [ 0 0 0 1 0 1 0 -1 0 1 0 -1 -1 1 0 -1 4 0 0 1 -2 0] [ 0 -1 1 0 0 1 -1 -1 1 0 1 -1 0 1 1 1 0 4 0 1 0 0] [ 1 -1 0 -1 -1 1 1 1 -1 1 0 -1 1 2 1 0 0 0 4 0 0 1] [-1 0 -1 1 1 0 1 -1 0 1 2 -1 0 1 1 1 1 1 0 4 0 0] [ 0 0 0 -1 0 -1 0 1 0 -1 -1 1 1 -1 0 1 -2 0 0 0 4 0] [ 0 -1 -1 0 1 0 0 0 -1 -1 0 1 1 2 -1 1 0 0 1 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 505. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 -1 -1 1 2 0 -1 1 1 0 0 -2 1 -1 1 1 1 0 0] [ 1 4 -1 0 -2 0 0 1 -1 -2 0 2 -1 -1 0 0 0 0 0 1 1 1] [-1 -1 4 1 0 -1 1 0 2 0 1 0 -1 -1 1 1 -1 1 1 -1 1 -2] [-2 0 1 4 1 1 -1 -1 -1 -1 -1 0 0 1 1 1 -1 0 -1 0 0 1] [-1 -2 0 1 4 1 -1 -2 -1 2 0 -2 1 1 1 0 1 1 0 -1 -2 0] [-1 0 -1 1 1 4 -2 -1 -2 0 -1 0 -1 1 -1 1 0 -1 -1 -1 -2 1] [ 1 0 1 -1 -1 -2 4 0 1 1 1 0 1 -1 0 0 0 1 1 1 1 -1] [ 2 1 0 -1 -2 -1 0 4 0 -1 1 1 0 0 -1 1 -2 -1 1 1 0 -1] [ 0 -1 2 -1 -1 -2 1 0 4 0 1 0 0 -1 0 0 0 0 1 0 1 -1] [-1 -2 0 -1 2 0 1 -1 0 6 2 -2 1 -1 0 -1 0 1 2 -1 0 -1] [ 1 0 1 -1 0 -1 1 1 1 2 4 -1 0 -2 0 0 -1 1 1 -1 1 -1] [ 1 2 0 0 -2 0 0 1 0 -2 -1 4 -2 -1 -1 1 -1 0 0 0 0 0] [ 0 -1 -1 0 1 -1 1 0 0 1 0 -2 4 1 1 -1 1 0 0 2 0 1] [ 0 -1 -1 1 1 1 -1 0 -1 -1 -2 -1 1 4 -1 1 0 -1 -1 1 -1 1] [-2 0 1 1 1 -1 0 -1 0 0 0 -1 1 -1 4 -2 1 0 0 0 0 0] [ 1 0 1 1 0 1 0 1 0 -1 0 1 -1 1 -2 4 -1 0 0 0 -1 0] [-1 0 -1 -1 1 0 0 -2 0 0 -1 -1 1 0 1 -1 4 0 -1 0 0 1] [ 1 0 1 0 1 -1 1 -1 0 1 1 0 0 -1 0 0 0 4 1 0 2 0] [ 1 0 1 -1 0 -1 1 1 1 2 1 0 0 -1 0 0 -1 1 4 0 0 -1] [ 1 1 -1 0 -1 -1 1 1 0 -1 -1 0 2 1 0 0 0 0 0 4 1 1] [ 0 1 1 0 -2 -2 1 0 1 0 1 0 0 -1 0 -1 0 2 0 1 6 0] [ 0 1 -2 1 0 1 -1 -1 -1 -1 -1 0 1 1 0 0 1 0 -1 1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 506. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -1 -1 0 -2 1 1 -2 -1 0 1 1 -1 1 -2 -1 1 1 -1 -1] [ 0 4 1 -1 -1 1 0 2 -1 0 -1 1 0 1 0 -1 1 -1 1 1 0 1] [ 0 1 4 -2 -2 0 0 0 -2 1 1 0 -1 1 0 0 1 -2 2 -1 -1 2] [-1 -1 -2 4 1 0 1 0 1 -1 0 0 -1 -1 -1 -1 0 2 0 -1 2 -1] [-1 -1 -2 1 6 2 0 1 0 1 -2 2 -1 -1 2 -1 -1 1 -1 1 1 -1] [ 0 1 0 0 2 4 -1 1 -1 0 -1 2 -1 -1 0 0 1 0 1 1 -1 1] [-2 0 0 1 0 -1 4 0 0 1 1 0 0 1 1 0 2 0 -1 0 0 0] [ 1 2 0 0 1 1 0 4 -1 0 -2 1 0 1 1 0 0 -1 1 1 1 -1] [ 1 -1 -2 1 0 -1 0 -1 4 -2 -1 0 0 -1 -1 1 -1 2 -1 0 1 -1] [-2 0 1 -1 1 0 1 0 -2 4 1 0 0 0 1 0 1 0 -1 0 -1 1] [-1 -1 1 0 -2 -1 1 -2 -1 1 4 -2 1 0 0 0 1 0 0 -1 -1 1] [ 0 1 0 0 2 2 0 1 0 0 -2 4 -2 -1 0 0 0 0 0 0 -1 0] [ 1 0 -1 -1 -1 -1 0 0 0 0 1 -2 4 1 1 0 0 0 -1 2 0 0] [ 1 1 1 -1 -1 -1 1 1 -1 0 0 -1 1 4 0 0 0 -2 0 1 0 0] [-1 0 0 -1 2 0 1 1 -1 1 0 0 1 0 4 -1 0 -1 0 1 0 0] [ 1 -1 0 -1 -1 0 0 0 1 0 0 0 0 0 -1 4 1 0 -1 0 -1 0] [-2 1 1 0 -1 1 2 0 -1 1 1 0 0 0 0 1 4 0 0 0 0 2] [-1 -1 -2 2 1 0 0 -1 2 0 0 0 0 -2 -1 0 0 4 -1 0 2 0] [ 1 1 2 0 -1 1 -1 1 -1 -1 0 0 -1 0 0 -1 0 -1 4 -1 0 1] [ 1 1 -1 -1 1 1 0 1 0 0 -1 0 2 1 1 0 0 0 -1 4 0 0] [-1 0 -1 2 1 -1 0 1 1 -1 -1 -1 0 0 0 -1 0 2 0 0 6 -1] [-1 1 2 -1 -1 1 0 -1 -1 1 1 0 0 0 0 0 2 0 1 0 -1 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 507. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -1 1 -2 -1 2 0 1 1 -1 1 -1 -2 -1 1 0 -1 1 -2] [ 1 4 -1 2 0 2 0 1 -1 0 -1 2 0 -1 -2 -1 -1 1 1 -1 0 1] [ 2 -1 4 -1 -1 0 -2 -2 1 -1 1 0 -1 2 0 -1 -1 1 -1 -1 1 -1] [ 1 2 -1 4 0 1 1 0 1 0 0 1 0 0 -1 0 -1 1 0 -1 0 -1] [-1 0 -1 0 4 1 0 0 1 0 -1 1 -1 0 0 0 2 -1 -1 1 1 -1] [ 1 2 0 1 1 4 -1 0 1 1 0 2 0 0 0 -2 -1 0 -1 0 0 1] [-2 0 -2 1 0 -1 4 0 -2 1 -1 0 0 0 0 1 0 0 0 0 0 1] [-1 1 -2 0 0 0 0 4 0 0 -1 0 0 -1 -1 0 1 0 0 0 0 2] [ 2 -1 1 1 1 1 -2 0 6 0 0 0 0 0 1 0 1 -1 -2 1 0 -3] [ 0 0 -1 0 0 1 1 0 0 4 -1 0 1 0 1 -1 1 0 0 0 -1 1] [ 1 -1 1 0 -1 0 -1 -1 0 -1 4 -1 0 1 0 -1 -1 1 1 -1 0 -1] [ 1 2 0 1 1 2 0 0 0 0 -1 4 -2 1 -1 -1 -1 1 -1 -1 1 0] [-1 0 -1 0 -1 0 0 0 0 1 0 -2 4 -2 1 1 0 -1 1 1 -2 1] [ 1 -1 2 0 0 0 0 -1 0 0 1 1 -2 4 0 -1 -1 2 -1 -2 2 -1] [-1 -2 0 -1 0 0 0 -1 1 1 0 -1 1 0 4 1 0 -2 -1 1 -1 0] [-2 -1 -1 0 0 -2 1 0 0 -1 -1 -1 1 -1 1 4 1 -1 0 1 -1 0] [-1 -1 -1 -1 2 -1 0 1 1 1 -1 -1 0 -1 0 1 4 -1 0 1 0 0] [ 1 1 1 1 -1 0 0 0 -1 0 1 1 -1 2 -2 -1 -1 4 1 -2 1 0] [ 0 1 -1 0 -1 -1 0 0 -2 0 1 -1 1 -1 -1 0 0 1 4 -1 -1 0] [-1 -1 -1 -1 1 0 0 0 1 0 -1 -1 1 -2 1 1 1 -2 -1 4 0 0] [ 1 0 1 0 1 0 0 0 0 -1 0 1 -2 2 -1 -1 0 1 -1 0 4 -1] [-2 1 -1 -1 -1 1 1 2 -3 1 -1 0 1 -1 0 0 0 0 0 0 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 508. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 -1 1 -1 -1 -1 1 0 1 -2 -1 0 -2 -1 2 1 -2 -2] [ 0 4 -1 0 0 2 0 1 1 -2 0 1 -1 1 -2 -1 1 1 1 -1 2 -1] [ 1 -1 4 -1 1 0 -1 -1 1 1 2 1 2 -2 1 1 -2 -2 -1 2 -2 1] [ 0 0 -1 4 -2 0 2 2 -1 -1 1 1 -1 0 -2 -2 -1 1 0 -1 0 1] [ 0 0 1 -2 4 1 0 -1 1 1 0 0 1 1 0 1 1 -1 -1 1 -1 1] [-1 2 0 0 1 4 1 0 2 -1 1 0 -1 2 0 0 2 1 0 -1 2 0] [ 1 0 -1 2 0 1 4 0 -1 -1 0 0 -1 0 -1 -1 0 1 1 -1 0 -1] [-1 1 -1 2 -1 0 0 4 -1 -1 0 0 -1 0 -1 -2 0 1 -1 -1 0 1] [-1 1 1 -1 1 2 -1 -1 4 1 1 1 1 2 1 1 0 -1 -1 1 2 0] [-1 -2 1 -1 1 -1 -1 -1 1 4 -1 1 2 0 2 2 0 -2 -2 2 -1 2] [ 1 0 2 1 0 1 0 0 1 -1 4 1 1 -1 -1 -1 -1 -1 0 1 -1 1] [ 0 1 1 1 0 0 0 0 1 1 1 4 1 -1 -2 0 -1 -1 -1 1 0 1] [ 1 -1 2 -1 1 -1 -1 -1 1 2 1 1 4 -1 0 1 -1 -2 -1 2 -2 1] [-2 1 -2 0 1 2 0 0 2 0 -1 -1 -1 6 0 1 1 2 0 -1 2 0] [-1 -2 1 -2 0 0 -1 -1 1 2 -1 -2 0 0 6 1 1 -1 -1 1 1 0] [ 0 -1 1 -2 1 0 -1 -2 1 2 -1 0 1 1 1 4 -1 -1 0 1 -1 0] [-2 1 -2 -1 1 2 0 0 0 0 -1 -1 -1 1 1 -1 6 1 0 -1 2 1] [-1 1 -2 1 -1 1 1 1 -1 -2 -1 -1 -2 2 -1 -1 1 4 1 -2 2 -1] [ 2 1 -1 0 -1 0 1 -1 -1 -2 0 -1 -1 0 -1 0 0 1 4 -1 0 -2] [ 1 -1 2 -1 1 -1 -1 -1 1 2 1 1 2 -1 1 1 -1 -2 -1 4 -1 1] [-2 2 -2 0 -1 2 0 0 2 -1 -1 0 -2 2 1 -1 2 2 0 -1 6 -2] [-2 -1 1 1 1 0 -1 1 0 2 1 1 1 0 0 0 1 -1 -2 1 -2 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 509. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 1 -1 0 1 -1 0 -1 -2 -1 -1 2 1 -1 -2 2 1 -2 -1 -1] [ 2 4 0 1 1 -1 -1 -1 -1 0 -2 0 -1 1 0 0 -2 0 1 -1 0 0] [ 1 0 4 2 0 1 2 0 -1 0 0 1 -1 0 2 -2 -2 2 -1 -2 -2 1] [ 1 1 2 4 1 1 1 1 -2 1 -1 0 0 -1 0 -1 -1 1 1 -2 0 1] [-1 1 0 1 4 -1 -1 -1 -2 2 0 1 -1 -1 -1 -1 -1 -1 1 -1 1 2] [ 0 -1 1 1 -1 4 0 1 0 1 0 -1 0 0 0 -1 -1 1 -1 1 0 -1] [ 1 -1 2 1 -1 0 4 1 0 -1 0 0 1 0 1 0 -1 1 0 -2 -1 0] [-1 -1 0 1 -1 1 1 4 0 0 1 -1 1 -1 0 1 2 0 -1 1 0 -1] [ 0 -1 -1 -2 -2 0 0 0 4 -1 0 -1 0 1 1 0 2 1 0 2 -1 -1] [-1 0 0 1 2 1 -1 0 -1 4 0 1 0 -1 -1 -1 -1 0 0 1 1 1] [-2 -2 0 -1 0 0 0 1 0 0 4 0 0 0 -1 0 1 0 -2 2 0 0] [-1 0 1 0 1 -1 0 -1 -1 1 0 4 1 0 1 0 0 -1 -1 0 -1 1] [-1 -1 -1 0 -1 0 1 1 0 0 0 1 4 -1 -1 2 1 -1 0 1 1 0] [ 2 1 0 -1 -1 0 0 -1 1 -1 0 0 -1 4 1 -1 -1 1 -1 0 -1 -2] [ 1 0 2 0 -1 0 1 0 1 -1 -1 1 -1 1 4 -1 0 1 -1 -1 -2 0] [-1 0 -2 -1 -1 -1 0 1 0 -1 0 0 2 -1 -1 4 2 -2 0 1 1 0] [-2 -2 -2 -1 -1 -1 -1 2 2 -1 1 0 1 -1 0 2 6 -1 0 2 0 0] [ 2 0 2 1 -1 1 1 0 1 0 0 -1 -1 1 1 -2 -1 4 0 0 -1 0] [ 1 1 -1 1 1 -1 0 -1 0 0 -2 -1 0 -1 -1 0 0 0 4 -2 1 1] [-2 -1 -2 -2 -1 1 -2 1 2 1 2 0 1 0 -1 1 2 0 -2 6 1 -1] [-1 0 -2 0 1 0 -1 0 -1 1 0 -1 1 -1 -2 1 0 -1 1 1 4 0] [-1 0 1 1 2 -1 0 -1 -1 1 0 1 0 -2 0 0 0 0 1 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 510. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 0 1 -1 1 1 2 -2 -1 0 -1 0 -1 2 2 -1 2 0 0] [-2 4 0 1 0 0 1 -1 -1 0 1 0 0 1 0 0 -1 -2 0 0 1 1] [-2 0 4 -1 1 -1 1 -1 0 -2 2 1 1 0 -1 1 0 0 0 -2 -1 1] [ 0 1 -1 4 1 -1 1 1 -2 1 -1 -2 0 2 0 1 1 -1 -1 1 0 1] [ 0 0 1 1 4 1 1 -1 -1 1 -1 0 2 1 -2 2 2 -1 -1 1 0 1] [ 1 0 -1 -1 1 4 0 -1 1 1 -2 0 1 -1 -1 -1 1 0 1 1 0 0] [-1 1 1 1 1 0 4 1 -2 -1 -1 0 1 1 -1 1 1 0 1 -1 1 2] [ 1 -1 -1 1 -1 -1 1 4 0 0 -1 0 -1 1 1 0 1 1 0 0 0 1] [ 1 -1 0 -2 -1 1 -2 0 4 0 1 1 -1 -1 1 -1 0 1 0 0 0 0] [ 2 0 -2 1 1 1 -1 0 0 4 -2 -1 1 1 0 0 1 0 -1 2 0 0] [-2 1 2 -1 -1 -2 -1 -1 1 -2 6 0 -2 -1 2 -1 -1 0 -1 -2 -1 0] [-1 0 1 -2 0 0 0 0 1 -1 0 4 0 0 -1 1 -1 -1 0 -1 1 0] [ 0 0 1 0 2 1 1 -1 -1 1 -2 0 4 0 -1 1 1 -1 1 1 0 1] [-1 1 0 2 1 -1 1 1 -1 1 -1 0 0 4 -1 2 0 -1 -1 0 1 1] [ 0 0 -1 0 -2 -1 -1 1 1 0 2 -1 -1 -1 4 -2 -1 0 1 0 -1 0] [-1 0 1 1 2 -1 1 0 -1 0 -1 1 1 2 -2 4 1 -1 -1 0 1 1] [ 2 -1 0 1 2 1 1 1 0 1 -1 -1 1 0 -1 1 4 1 -1 1 0 2] [ 2 -2 0 -1 -1 0 0 1 1 0 0 -1 -1 -1 0 -1 1 4 0 0 0 0] [-1 0 0 -1 -1 1 1 0 0 -1 -1 0 1 -1 1 -1 -1 0 4 -1 0 0] [ 2 0 -2 1 1 1 -1 0 0 2 -2 -1 1 0 0 0 1 0 -1 4 1 0] [ 0 1 -1 0 0 0 1 0 0 0 -1 1 0 1 -1 1 0 0 0 1 4 0] [ 0 1 1 1 1 0 2 1 0 0 0 0 1 1 0 1 2 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 511. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 0 -1 1 1 1 -2 -1 0 2 -1 0 0 1 2 -1 0 -1 0] [-2 4 1 -1 0 0 0 -1 -1 1 1 0 -1 1 0 0 0 -1 0 0 1 -1] [ 0 1 4 -2 0 -1 2 1 1 1 0 0 -1 -1 0 0 -1 1 1 0 -1 1] [-1 -1 -2 6 2 3 -1 0 -2 0 0 2 2 2 -2 -2 0 0 -1 2 0 0] [ 0 0 0 2 4 2 -1 -1 -1 -1 -1 2 2 0 -1 -1 0 0 0 2 0 -1] [-1 0 -1 3 2 4 -2 -1 -1 0 -1 2 2 1 -1 -2 -1 0 0 2 1 -1] [ 1 0 2 -1 -1 -2 4 1 0 1 0 -1 0 0 -1 1 1 1 -1 -1 -1 2] [ 1 -1 1 0 -1 -1 1 4 0 0 1 0 -1 -1 1 1 1 1 0 0 -2 2] [ 1 -1 1 -2 -1 -1 0 0 4 0 0 0 0 -2 0 1 -2 0 2 0 -1 0] [-2 1 1 0 -1 0 1 0 0 4 0 -1 -2 0 -1 1 -1 0 0 -1 0 1] [-1 1 0 0 -1 -1 0 1 0 0 4 -1 -1 0 0 1 1 0 1 -1 -1 1] [ 0 0 0 2 2 2 -1 0 0 -1 -1 4 2 1 0 -1 -1 0 0 2 0 -1] [ 2 -1 -1 2 2 2 0 -1 0 -2 -1 2 6 0 -1 -2 1 0 0 2 1 -1] [-1 1 -1 2 0 1 0 -1 -2 0 0 1 0 4 -1 -1 0 0 -2 0 1 0] [ 0 0 0 -2 -1 -1 -1 1 0 -1 0 0 -1 -1 4 1 0 -1 1 0 1 -1] [ 0 0 0 -2 -1 -2 1 1 1 1 1 -1 -2 -1 1 4 0 0 0 -1 -1 1] [ 1 0 -1 0 0 -1 1 1 -2 -1 1 -1 1 0 0 0 4 0 -1 -1 0 1] [ 2 -1 1 0 0 0 1 1 0 0 0 0 0 0 -1 0 0 4 -1 0 -1 1] [-1 0 1 -1 0 0 -1 0 2 0 1 0 0 -2 1 0 -1 -1 4 0 0 0] [ 0 0 0 2 2 2 -1 0 0 -1 -1 2 2 0 0 -1 -1 0 0 4 1 -1] [-1 1 -1 0 0 1 -1 -2 -1 0 -1 0 1 1 1 -1 0 -1 0 1 4 -2] [ 0 -1 1 0 -1 -1 2 2 0 1 1 -1 -1 0 -1 1 1 1 0 -1 -2 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 512. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 1 0 0 2 -1 -1 -2 1 1 1 2 -1 -1 -1 2 -1 2 1 1] [-1 10 5 3 -2 4 -2 1 5 2 0 1 3 -2 -3 -2 3 0 -3 -2 3 3] [-1 5 8 -1 -3 2 -1 0 5 3 -1 -1 1 -1 1 -1 2 0 0 -1 -1 4] [ 1 3 -1 6 -1 0 -1 1 0 0 -1 2 1 -1 -1 0 1 -1 -2 -1 1 1] [ 0 -2 -3 -1 4 -1 0 -1 -2 -2 1 -1 0 0 -1 1 -1 0 -1 0 1 -3] [ 0 4 2 0 -1 4 -1 1 2 0 1 1 2 0 -1 -1 1 1 -1 0 1 2] [ 2 -2 -1 -1 0 -1 4 0 0 -1 0 0 -1 2 0 -1 -2 2 1 2 0 0] [-1 1 0 1 -1 1 0 4 1 0 0 0 0 0 1 1 -1 -1 1 0 -1 0] [-1 5 5 0 -2 2 0 1 6 2 0 0 0 -1 -1 -2 1 1 0 -1 1 2] [-2 2 3 0 -2 0 -1 0 2 4 -2 -1 0 -2 1 -1 2 -1 1 -2 -1 2] [ 1 0 -1 -1 1 1 0 0 0 -2 4 1 1 1 -1 0 0 1 -1 1 1 -1] [ 1 1 -1 2 -1 1 0 0 0 -1 1 4 1 0 0 0 1 0 -1 0 0 0] [ 1 3 1 1 0 2 -1 0 0 0 1 1 4 0 -1 0 1 0 -2 0 1 1] [ 2 -2 -1 -1 0 0 2 0 -1 -2 1 0 0 4 -1 0 -2 2 0 2 0 0] [-1 -3 1 -1 -1 -1 0 1 -1 1 -1 0 -1 -1 6 2 0 -2 2 0 -4 1] [-1 -2 -1 0 1 -1 -1 1 -2 -1 0 0 0 0 2 4 0 -2 0 0 -2 -1] [-1 3 2 1 -1 1 -2 -1 1 2 0 1 1 -2 0 0 4 -1 -1 -2 0 2] [ 2 0 0 -1 0 1 2 -1 1 -1 1 0 0 2 -2 -2 -1 4 0 2 2 1] [-1 -3 0 -2 -1 -1 1 1 0 1 -1 -1 -2 0 2 0 -1 0 4 0 -2 0] [ 2 -2 -1 -1 0 0 2 0 -1 -2 1 0 0 2 0 0 -2 2 0 4 1 0] [ 1 3 -1 1 1 1 0 -1 1 -1 1 0 1 0 -4 -2 0 2 -2 1 6 -1] [ 1 3 4 1 -3 2 0 0 2 2 -1 0 1 0 1 -1 2 1 0 0 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 513. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 1 1 1 2 1 -1 -1 -2 1 1 0 -2 -1 0 1 -1 -1] [ 1 4 0 1 0 2 -1 1 -1 2 0 -1 0 2 0 1 -2 1 -1 2 0 -2] [-1 0 4 -2 -2 0 -1 1 -2 1 1 -1 1 0 -1 1 2 2 1 0 1 2] [ 1 1 -2 6 -1 0 -1 -2 3 2 0 1 -2 0 2 -2 0 -1 -3 0 -2 0] [ 2 0 -2 -1 6 -1 1 2 0 0 -2 1 -1 0 0 0 -3 0 0 0 0 -2] [ 1 2 0 0 -1 4 1 0 0 1 0 -1 0 2 0 0 -2 0 1 2 0 0] [ 1 -1 -1 -1 1 1 4 1 2 -1 0 0 0 0 1 0 0 -1 1 0 -1 -1] [ 1 1 1 -2 2 0 1 4 -1 1 -1 0 1 0 0 2 0 1 1 0 0 -2] [ 2 -1 -2 3 0 0 2 -1 6 -1 -1 1 -1 -1 1 -2 0 -3 -1 -1 -1 -1] [ 1 2 1 2 0 1 -1 1 -1 6 -1 -1 0 2 1 -1 0 1 0 2 -1 1] [-1 0 1 0 -2 0 0 -1 -1 -1 4 0 0 0 1 1 2 1 -1 0 -1 1] [-1 -1 -1 1 1 -1 0 0 1 -1 0 4 1 -2 1 0 1 -1 -1 -2 -1 -1] [-2 0 1 -2 -1 0 0 1 -1 0 0 1 4 0 -1 1 1 0 1 0 1 -1] [ 1 2 0 0 0 2 0 0 -1 2 0 -2 0 4 -1 0 -2 1 0 2 0 0] [ 1 0 -1 2 0 0 1 0 1 1 1 1 -1 -1 4 0 1 -1 -1 0 -2 0] [ 0 1 1 -2 0 0 0 2 -2 -1 1 0 1 0 0 4 1 1 0 0 0 -1] [-2 -2 2 0 -3 -2 0 0 0 0 2 1 1 -2 1 1 6 0 0 -2 -1 2] [-1 1 2 -1 0 0 -1 1 -3 1 1 -1 0 1 -1 1 0 4 0 1 1 1] [ 0 -1 1 -3 0 1 1 1 -1 0 -1 -1 1 0 -1 0 0 0 4 0 1 1] [ 1 2 0 0 0 2 0 0 -1 2 0 -2 0 2 0 0 -2 1 0 4 1 0] [-1 0 1 -2 0 0 -1 0 -1 -1 -1 -1 1 0 -2 0 -1 1 1 1 4 0] [-1 -2 2 0 -2 0 -1 -2 -1 1 1 -1 -1 0 0 -1 2 1 1 0 0 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 514. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 -1 1 0 0 2 0 1 -1 2 -1 -2 1 -2 -1 1 1 0 -1] [ 1 4 0 -1 0 1 -1 0 1 1 2 0 2 0 -2 1 0 -2 0 2 1 1] [-1 0 4 2 0 -1 -1 0 -1 1 1 -1 0 -1 0 1 1 -1 1 1 1 -1] [-2 -1 2 4 1 -2 -1 1 -1 1 0 0 -2 0 2 -1 2 0 -1 0 0 0] [-1 0 0 1 4 -1 1 2 -2 -1 0 -1 1 -1 -1 -1 2 0 -1 0 -1 0] [ 1 1 -1 -2 -1 4 0 -2 1 0 1 -1 2 -1 -2 0 0 -1 0 1 -1 -1] [ 0 -1 -1 -1 1 0 4 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0] [ 0 0 0 1 2 -2 0 4 0 -1 0 0 1 0 -1 -1 0 0 0 0 -1 1] [ 2 1 -1 -1 -2 1 0 0 4 1 1 1 1 1 -1 0 -2 -1 1 1 0 1] [ 0 1 1 1 -1 0 -1 -1 1 4 0 0 0 0 0 0 1 0 1 0 1 0] [ 1 2 1 0 0 1 0 0 1 0 4 -1 2 0 -1 1 0 -2 0 2 0 0] [-1 0 -1 0 -1 -1 0 0 1 0 -1 4 -2 2 1 0 -1 0 -1 -1 1 2] [ 2 2 0 -2 1 2 0 1 1 0 2 -2 6 -2 -3 0 0 -2 2 2 -1 0] [-1 0 -1 0 -1 -1 0 0 1 0 0 2 -2 4 1 0 -1 1 -1 -1 1 2] [-2 -2 0 2 -1 -2 0 -1 -1 0 -1 1 -3 1 6 -1 0 1 0 -1 0 1] [ 1 1 1 -1 -1 0 1 -1 0 0 1 0 0 0 -1 4 0 -1 0 1 2 0] [-2 0 1 2 2 0 0 0 -2 1 0 -1 0 -1 0 0 4 0 -1 0 0 0] [-1 -2 -1 0 0 -1 0 0 -1 0 -2 0 -2 1 1 -1 0 4 0 -2 0 0] [ 1 0 1 -1 -1 0 0 0 1 1 0 -1 2 -1 0 0 -1 0 4 0 0 0] [ 1 2 1 0 0 1 0 0 1 0 2 -1 2 -1 -1 1 0 -2 0 4 1 0] [ 0 1 1 0 -1 -1 0 -1 0 1 0 1 -1 1 0 2 0 0 0 1 4 0] [-1 1 -1 0 0 -1 0 1 1 0 0 2 0 2 1 0 0 0 0 0 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 515. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -2 -1 -2 1 0 0 -1 0 0 -1 2 -1 1 -1 0 -1 0] [-2 4 1 0 1 2 0 0 0 1 0 0 -1 -1 1 -1 -1 -1 1 0 1 -1] [ 0 1 4 0 -1 -1 -2 0 -1 -1 0 1 -1 0 -1 1 0 1 -1 0 -1 1] [ 0 0 0 4 2 2 -1 1 1 0 2 1 -1 0 0 0 -1 0 -2 -2 0 -1] [ 1 1 -1 2 6 0 0 -2 2 1 0 -1 0 -2 -1 -1 -1 0 0 -2 0 -1] [-2 2 -1 2 0 6 1 2 0 1 1 0 -2 0 2 -1 -2 -1 -1 -1 1 -2] [-1 0 -2 -1 0 1 4 1 1 1 -1 -1 1 1 0 -2 1 -1 1 0 1 -1] [-2 0 0 1 -2 2 1 4 -1 -1 0 1 -1 1 1 -1 1 -1 -1 -1 1 0] [ 1 0 -1 1 2 0 1 -1 4 0 0 0 1 1 0 0 0 -1 0 -1 1 -2] [ 0 1 -1 0 1 1 1 -1 0 4 0 -1 0 0 0 0 -2 1 1 0 -1 0] [ 0 0 0 2 0 1 -1 0 0 0 4 0 0 1 1 1 -1 0 -1 0 0 -1] [-1 0 1 1 -1 0 -1 1 0 -1 0 4 0 0 -1 -1 1 1 -1 -1 0 1] [ 0 -1 -1 -1 0 -2 1 -1 1 0 0 0 4 0 0 -1 2 -1 2 1 1 0] [ 0 -1 0 0 -2 0 1 1 1 0 1 0 0 4 0 1 0 0 -1 0 0 0] [-1 1 -1 0 -1 2 0 1 0 0 1 -1 0 0 4 1 -1 -2 1 1 2 -2] [ 2 -1 1 0 -1 -1 -2 -1 0 0 1 -1 -1 1 1 4 -2 1 -1 1 -1 0] [-1 -1 0 -1 -1 -2 1 1 0 -2 -1 1 2 0 -1 -2 4 -1 1 0 1 1] [ 1 -1 1 0 0 -1 -1 -1 -1 1 0 1 -1 0 -2 1 -1 4 -1 0 -2 2] [-1 1 -1 -2 0 -1 1 -1 0 1 -1 -1 2 -1 1 -1 1 -1 4 1 1 0] [ 0 0 0 -2 -2 -1 0 -1 -1 0 0 -1 1 0 1 1 0 0 1 4 1 0] [-1 1 -1 0 0 1 1 1 1 -1 0 0 1 0 2 -1 1 -2 1 1 4 -2] [ 0 -1 1 -1 -1 -2 -1 0 -2 0 -1 1 0 0 -2 0 1 2 0 0 -2 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 516. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 2 1 -2 1 1 0 1 2 0 1 -1 1 -1 -1 -2 2 -1 2] [ 1 4 0 0 2 0 -2 1 2 -1 1 2 0 1 -2 0 -1 -2 0 -1 -1 2] [-1 0 4 1 -2 -1 1 -2 1 1 1 0 1 -1 -1 -2 -1 -1 1 0 1 0] [ 2 0 1 4 0 1 -1 0 0 1 0 2 0 0 -1 0 0 -1 -1 2 0 1] [ 2 2 -2 0 6 2 -2 0 1 0 -1 3 -2 0 -1 0 -2 -1 0 1 0 3] [ 1 0 -1 1 2 4 0 0 0 -1 0 1 -2 0 0 0 1 0 0 0 0 2] [-2 -2 1 -1 -2 0 4 -2 -1 1 -1 -2 0 -1 2 -1 1 2 0 0 1 -1] [ 1 1 -2 0 0 0 -2 4 0 -2 1 0 0 2 0 1 1 -1 -1 0 -2 -1] [ 1 2 1 0 1 0 -1 0 4 -1 1 1 0 1 -1 0 -1 -2 1 0 -1 1] [ 0 -1 1 1 0 -1 1 -2 -1 4 -2 1 0 -2 1 0 -1 1 0 2 2 1] [ 1 1 1 0 -1 0 -1 1 1 -2 6 1 0 2 -1 -2 1 -2 -1 -2 -2 -1] [ 2 2 0 2 3 1 -2 0 1 1 1 6 -2 1 -2 -1 0 -1 0 2 -1 3] [ 0 0 1 0 -2 -2 0 0 0 0 0 -2 4 -1 0 0 -1 0 -1 -1 0 -1] [ 1 1 -1 0 0 0 -1 2 1 -2 2 1 -1 4 -1 0 1 -1 -1 0 -2 0] [-1 -2 -1 -1 -1 0 2 0 -1 1 -1 -2 0 -1 4 0 1 1 0 0 1 -2] [ 1 0 -2 0 0 0 -1 1 0 0 -2 -1 0 0 0 4 0 1 0 1 0 0] [-1 -1 -1 0 -2 1 1 1 -1 -1 1 0 -1 1 1 0 4 1 0 -1 -1 -1] [-1 -2 -1 -1 -1 0 2 -1 -2 1 -2 -1 0 -1 1 1 1 4 0 1 1 0] [-2 0 1 -1 0 0 0 -1 1 0 -1 0 -1 -1 0 0 0 0 4 -1 1 0] [ 2 -1 0 2 1 0 0 0 0 2 -2 2 -1 0 0 1 -1 1 -1 6 1 1] [-1 -1 1 0 0 0 1 -2 -1 2 -2 -1 0 -2 1 0 -1 1 1 1 4 0] [ 2 2 0 1 3 2 -1 -1 1 1 -1 3 -1 0 -2 0 -1 0 0 1 0 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 517. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 0 -1 -1 1 0 -2 -1 0 -1 -2 0 1 -1 0 -2 0 -2] [-2 4 2 1 -1 1 1 0 -1 -1 2 1 -1 1 1 -1 0 -1 1 2 1 2] [-2 2 4 1 0 0 0 0 -1 -1 2 0 -1 1 2 -1 -1 -1 -1 2 1 2] [ 0 1 1 4 -1 1 0 -2 1 -1 1 1 0 2 -1 -1 -1 -1 0 1 1 -1] [ 1 -1 0 -1 4 -1 -2 1 0 1 0 -1 -1 0 0 1 -1 1 1 0 -1 1] [ 0 1 0 1 -1 4 -1 -2 0 -1 0 -1 -1 0 -1 -2 1 -1 -1 0 -1 0] [-1 1 0 0 -2 -1 4 1 -1 -1 0 1 1 0 1 1 1 -1 0 0 2 0] [-1 0 0 -2 1 -2 1 4 0 0 0 1 1 0 1 1 -1 1 1 0 1 2] [ 1 -1 -1 1 0 0 -1 0 4 1 -1 0 1 1 -2 -1 -2 1 1 -1 1 0] [ 0 -1 -1 -1 1 -1 -1 0 1 4 0 -1 1 0 -1 0 -1 1 1 0 -2 1] [-2 2 2 1 0 0 0 0 -1 0 4 0 -1 2 1 0 -1 0 0 2 -1 2] [-1 1 0 1 -1 -1 1 1 0 -1 0 4 0 0 1 0 0 1 1 0 2 -1] [ 0 -1 -1 0 -1 -1 1 1 1 1 -1 0 4 1 -1 0 -1 0 0 -1 1 -1] [-1 1 1 2 0 0 0 0 1 0 2 0 1 4 -1 0 -2 0 0 1 1 1] [-2 1 2 -1 0 -1 1 1 -2 -1 1 1 -1 -1 4 0 0 0 0 1 0 1] [ 0 -1 -1 -1 1 -2 1 1 -1 0 0 0 0 0 0 4 1 1 0 0 0 0] [ 1 0 -1 -1 -1 1 1 -1 -2 -1 -1 0 -1 -2 0 1 4 -1 -1 -1 0 -1] [-1 -1 -1 -1 1 -1 -1 1 1 1 0 1 0 0 0 1 -1 4 1 0 0 0] [ 0 1 -1 0 1 -1 0 1 1 1 0 1 0 0 0 0 -1 1 4 0 0 1] [-2 2 2 1 0 0 0 0 -1 0 2 0 -1 1 1 0 -1 0 0 4 0 2] [ 0 1 1 1 -1 -1 2 1 1 -2 -1 2 1 1 0 0 0 0 0 0 6 -1] [-2 2 2 -1 1 0 0 2 0 1 2 -1 -1 1 1 0 -1 0 1 2 -1 6] |Aut| = [ <2, 4>, <3, 1> ] Modular = false LatDB = - 518. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 1 1 1 -1 -1 -1 -1 0 1 -1 -2 2 -1 0 0 0 -1 1] [-2 4 1 -1 -1 -1 1 1 0 0 2 -1 1 0 2 -1 1 1 -1 -1 1 0] [ 0 1 4 -1 1 1 2 2 -2 1 2 0 1 -1 -1 0 2 0 0 0 1 1] [ 1 -1 -1 4 0 0 0 0 1 1 -2 -1 -1 -1 -2 2 0 1 -1 -1 -1 1] [ 1 -1 1 0 4 2 0 1 -1 0 0 -1 -1 1 -1 0 1 1 0 -1 1 2] [ 1 -1 1 0 2 4 0 1 0 1 1 -1 -1 -1 -1 1 1 1 -1 -1 0 1] [ 1 1 2 0 0 0 4 1 -2 1 2 0 2 -2 0 1 1 0 -1 0 1 0] [-1 1 2 0 1 1 1 4 -1 2 1 -1 -1 -1 -1 -1 2 0 -1 -1 1 1] [-1 0 -2 1 -1 0 -2 -1 4 -1 -1 0 -1 0 0 0 -1 0 -1 0 -1 -1] [-1 0 1 1 0 1 1 2 -1 4 0 -1 -1 -1 -1 0 2 1 0 -1 1 0] [-1 2 2 -2 0 1 2 1 -1 0 6 1 1 0 3 0 1 -1 0 1 2 -1] [ 0 -1 0 -1 -1 -1 0 -1 0 -1 1 4 0 0 1 0 0 -2 1 2 0 -1] [ 1 1 1 -1 -1 -1 2 -1 -1 -1 1 0 4 0 1 1 -1 0 0 0 0 -1] [-1 0 -1 -1 1 -1 -2 -1 0 -1 0 0 0 4 2 -1 -1 0 2 0 1 0] [-2 2 -1 -2 -1 -1 0 -1 0 -1 3 1 1 2 6 0 -1 -1 1 1 2 -1] [ 2 -1 0 2 0 1 1 -1 0 0 0 0 1 -1 0 4 -1 0 0 0 0 1] [-1 1 2 0 1 1 1 2 -1 2 1 0 -1 -1 -1 -1 4 1 -1 -1 1 1] [ 0 1 0 1 1 1 0 0 0 1 -1 -2 0 0 -1 0 1 4 -1 -2 0 1] [ 0 -1 0 -1 0 -1 -1 -1 -1 0 0 1 0 2 1 0 -1 -1 4 1 1 0] [ 0 -1 0 -1 -1 -1 0 -1 0 -1 1 2 0 0 1 0 -1 -2 1 4 1 -1] [-1 1 1 -1 1 0 1 1 -1 1 2 0 0 1 2 0 1 0 1 1 4 0] [ 1 0 1 1 2 1 0 1 -1 0 -1 -1 -1 0 -1 1 1 1 0 -1 0 4] |Aut| = [ <2, 4>, <3, 1> ] Modular = true LatDB = - 519. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 2 -1 0 -1 1 -2 2 0 1 1 1 -1 -2 -1 1 -1 -2] [ 1 4 -2 1 -2 0 -1 0 -2 -1 1 -1 1 2 1 -1 -2 1 -1 2 -1 0] [-1 -2 4 -1 2 -1 1 0 1 0 -1 1 1 0 0 0 1 -1 2 0 0 1] [ 2 1 -1 4 0 1 0 0 0 -1 -2 2 0 1 1 -1 -2 0 -1 1 -1 -2] [-1 -2 2 0 4 -1 2 1 2 1 -1 1 1 -1 0 0 1 0 0 -1 0 0] [ 2 0 -1 1 -1 4 -2 1 0 1 -1 2 -2 0 -1 0 -1 -2 0 0 1 -1] [-1 -1 1 0 2 -2 4 1 2 -1 0 -1 2 0 0 1 0 1 0 0 0 1] [ 0 0 0 0 1 1 1 4 2 0 -1 1 1 0 0 1 -1 0 -1 0 0 1] [-1 -2 1 0 2 0 2 2 4 0 -1 1 1 -1 -1 0 0 0 0 -1 1 0] [ 1 -1 0 -1 1 1 -1 0 0 4 -1 1 0 -1 -1 1 1 -1 0 -1 1 -1] [-2 1 -1 -2 -1 -1 0 -1 -1 -1 6 -4 -2 -1 0 -1 2 2 1 -1 0 2] [ 2 -1 1 2 1 2 -1 1 1 1 -4 6 1 1 1 0 -1 -2 -1 1 -1 -2] [ 0 1 1 0 1 -2 2 1 1 0 -2 1 6 1 1 0 -1 1 0 1 -1 0] [ 1 2 0 1 -1 0 0 0 -1 -1 -1 1 1 4 0 0 -2 0 -1 2 -1 0] [ 1 1 0 1 0 -1 0 0 -1 -1 0 1 1 0 4 0 0 0 -1 1 -2 0] [ 1 -1 0 -1 0 0 1 1 0 1 -1 0 0 0 0 4 1 -1 -1 0 0 1] [-1 -2 1 -2 1 -1 0 -1 0 1 2 -1 -1 -2 0 1 4 0 1 -2 0 1] [-2 1 -1 0 0 -2 1 0 0 -1 2 -2 1 0 0 -1 0 4 0 0 0 1] [-1 -1 2 -1 0 0 0 -1 0 0 1 -1 0 -1 -1 -1 1 0 4 -1 1 1] [ 1 2 0 1 -1 0 0 0 -1 -1 -1 1 1 2 1 0 -2 0 -1 4 0 0] [-1 -1 0 -1 0 1 0 0 1 1 0 -1 -1 -1 -2 0 0 0 1 0 4 0] [-2 0 1 -2 0 -1 1 1 0 -1 2 -2 0 0 0 1 1 1 1 0 0 4] |Aut| = [ <2, 2>, <3, 2> ] Modular = true LatDB = - 520. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 1 0 -1 1 0 -2 1 -1 -1 1 -2 -2 2 0 -1 0 -1 0] [-1 4 1 0 -2 -1 2 -1 1 2 0 1 -1 1 0 2 0 -1 2 1 1 -1] [-2 1 4 -2 -2 1 1 0 0 0 -1 0 -1 -1 1 0 -2 1 0 -1 1 1] [ 2 0 -2 4 1 -1 0 1 -1 -1 2 -1 0 2 -2 0 2 -1 -1 1 -1 -1] [ 1 -2 -2 1 4 1 0 0 -1 0 1 -1 1 1 0 0 0 0 -1 0 0 1] [ 0 -1 1 -1 1 4 1 -1 -1 0 0 0 -1 0 0 -2 -1 0 -1 0 1 2] [-1 2 1 0 0 1 4 -2 -1 1 0 1 0 0 1 2 -1 -1 0 1 2 1] [ 1 -1 0 1 0 -1 -2 4 0 -2 1 -2 -1 1 -1 -2 0 1 0 -1 -1 0] [ 0 1 0 -1 -1 -1 -1 0 4 2 -1 0 0 0 1 1 0 -1 1 1 -1 0] [-2 2 0 -1 0 0 1 -2 2 6 0 1 1 0 2 2 0 -1 2 1 1 -1] [ 1 0 -1 2 1 0 0 1 -1 0 4 -2 0 2 -1 -1 2 -1 0 1 -1 0] [-1 1 0 -1 -1 0 1 -2 0 1 -2 4 0 -1 0 1 0 -1 1 1 1 -1] [-1 -1 -1 0 1 -1 0 -1 0 1 0 0 4 -1 1 2 0 -1 -1 0 0 0] [ 1 1 -1 2 1 0 0 1 0 0 2 -1 -1 4 -2 0 1 -1 0 1 0 0] [-2 0 1 -2 0 0 1 -1 1 2 -1 0 1 -2 4 1 -2 0 1 0 0 1] [-2 2 0 0 0 -2 2 -2 1 2 -1 1 2 0 1 6 0 -1 0 1 1 0] [ 2 0 -2 2 0 -1 -1 0 0 0 2 0 0 1 -2 0 4 -1 0 1 -1 -1] [ 0 -1 1 -1 0 0 -1 1 -1 -1 -1 -1 -1 -1 0 -1 -1 4 0 -2 1 0] [-1 2 0 -1 -1 -1 0 0 1 2 0 1 -1 0 1 0 0 0 4 0 0 -1] [ 0 1 -1 1 0 0 1 -1 1 1 1 1 0 1 0 1 1 -2 0 4 0 0] [-1 1 1 -1 0 1 2 -1 -1 1 -1 1 0 0 0 1 -1 1 0 0 4 0] [ 0 -1 1 -1 1 2 1 0 0 -1 0 -1 0 0 1 0 -1 0 -1 0 0 4] |Aut| = [ <2, 2>, <3, 2> ] Modular = true LatDB = - 521. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 1 1 -1 1 -1 -2 0 2 -2 -1 0 1 0 1 -2 1] [ 1 4 0 -1 0 -1 2 1 -1 2 -1 1 1 1 1 -1 1 1 0 0 -2 1] [-1 0 4 -1 -2 0 -1 1 2 0 1 1 -1 0 0 1 1 0 1 -2 -1 1] [ 1 -1 -1 4 0 2 1 0 0 -1 -1 0 -1 1 -1 -1 1 -1 1 0 1 0] [ 1 0 -2 0 4 -1 1 0 -1 0 1 -2 0 0 0 -1 -2 -1 0 1 1 0] [ 1 -1 0 2 -1 4 0 -1 1 -1 -1 -1 -1 1 -1 -1 0 1 1 1 0 0] [ 1 2 -1 1 1 0 4 1 0 0 -1 1 1 0 1 -2 1 0 1 1 -1 1] [ 1 1 1 0 0 -1 1 4 0 0 -1 1 0 0 0 1 0 1 0 -1 -2 2] [-1 -1 2 0 -1 1 0 0 4 -2 1 0 0 -1 1 0 1 0 0 -1 0 0] [ 1 2 0 -1 0 -1 0 0 -2 4 0 0 1 2 -1 0 0 0 0 0 -2 0] [-1 -1 1 -1 1 -1 -1 -1 1 0 4 0 -1 0 0 1 -1 -2 1 0 1 -1] [-2 1 1 0 -2 -1 1 1 0 0 0 6 -1 0 2 1 1 0 0 -1 -1 -1] [ 0 1 -1 -1 0 -1 1 0 0 1 -1 -1 4 -1 1 -1 1 1 -1 1 0 1] [ 2 1 0 1 0 1 0 0 -1 2 0 0 -1 4 -2 0 0 0 0 0 -1 0] [-2 1 0 -1 0 -1 1 0 1 -1 0 2 1 -2 4 -1 0 0 0 0 0 0] [-1 -1 1 -1 -1 -1 -2 1 0 0 1 1 -1 0 -1 4 0 0 -1 -1 0 0] [ 0 1 1 1 -2 0 1 0 1 0 -1 1 1 0 0 0 4 0 0 -1 0 1] [ 1 1 0 -1 -1 1 0 1 0 0 -2 0 1 0 0 0 0 4 -1 1 -1 1] [ 0 0 1 1 0 1 1 0 0 0 1 0 -1 0 0 -1 0 -1 4 0 0 1] [ 1 0 -2 0 1 1 1 -1 -1 0 0 -1 1 0 0 -1 -1 1 0 4 1 0] [-2 -2 -1 1 1 0 -1 -2 0 -2 1 -1 0 -1 0 0 0 -1 0 1 6 -1] [ 1 1 1 0 0 0 1 2 0 0 -1 -1 1 0 0 0 1 1 1 0 -1 4] |Aut| = [ <2, 5> ] Modular = true LatDB = - 522. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 2 1 1 -1 2 1 1 -2 0 1 0 1 2 0 1 0 2 0] [-2 4 -2 2 -2 -2 -1 2 0 1 -1 1 0 -1 1 0 -1 0 -1 0 -1 1] [ 2 -2 4 -2 0 2 2 -2 1 1 1 -1 -1 1 -1 0 1 0 0 1 2 1] [-2 2 -2 4 -2 -2 -2 2 0 -1 -1 2 1 -2 0 -1 -2 0 -1 0 -2 0] [ 2 -2 0 -2 4 1 0 -1 1 0 1 -2 1 1 1 0 1 0 1 0 1 -1] [ 1 -2 2 -2 1 4 1 -2 1 0 1 0 0 1 0 0 1 -1 1 0 1 1] [ 1 -1 2 -2 0 1 4 -1 0 0 0 0 -1 1 0 1 0 0 1 1 2 0] [-1 2 -2 2 -1 -2 -1 4 1 -1 0 1 0 -1 0 0 -1 -1 -1 0 -2 -1] [ 2 0 1 0 1 1 0 1 6 -1 1 -2 1 0 0 -1 2 -1 1 -1 2 1] [ 1 1 1 -1 0 0 0 -1 -1 6 0 0 -2 2 2 2 0 2 -2 0 1 1] [ 1 -1 1 -1 1 1 0 0 1 0 4 -2 -1 2 0 1 1 -2 -1 1 -1 0] [-2 1 -1 2 -2 0 0 1 -2 0 -2 6 -1 -1 -1 0 -2 1 0 1 -2 -1] [ 0 0 -1 1 1 0 -1 0 1 -2 -1 -1 4 -2 1 -2 0 0 1 0 1 1] [ 1 -1 1 -2 1 1 1 -1 0 2 2 -1 -2 4 0 2 1 0 -1 0 1 0] [ 0 1 -1 0 1 0 0 0 0 2 0 -1 1 0 4 0 -1 0 0 0 0 1] [ 1 0 0 -1 0 0 1 0 -1 2 1 0 -2 2 0 4 1 0 -1 0 0 0] [ 2 -1 1 -2 1 1 0 -1 2 0 1 -2 0 1 -1 1 4 0 1 -1 2 1] [ 0 0 0 0 0 -1 0 -1 -1 2 -2 1 0 0 0 0 0 4 0 0 2 0] [ 1 -1 0 -1 1 1 1 -1 1 -2 -1 0 1 -1 0 -1 1 0 4 -1 1 0] [ 0 0 1 0 0 0 1 0 -1 0 1 1 0 0 0 0 -1 0 -1 4 0 0] [ 2 -1 2 -2 1 1 2 -2 2 1 -1 -2 1 1 0 0 2 2 1 0 6 1] [ 0 1 1 0 -1 1 0 -1 1 1 0 -1 1 0 1 0 1 0 0 0 1 4] |Aut| = [ <2, 5> ] Modular = false LatDB = - 523. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -1 0 0 -2 -1 0 0 -1 -1 -1 -1 -1 0 -1 0 1 0 -2 2] [-1 4 -2 -1 -1 1 1 -1 1 1 1 1 1 -1 2 0 -1 -1 0 1 0 -2] [ 1 -2 6 2 0 1 -3 -1 -1 1 -1 -3 0 1 -1 1 -1 -1 0 0 2 -1] [-1 -1 2 6 1 -1 -2 2 -1 -1 -1 -2 1 3 0 1 -1 2 -2 -1 3 -1] [ 0 -1 0 1 4 -2 0 -1 1 -2 -2 1 0 0 1 1 -1 2 -2 -2 -1 -1] [ 0 1 1 -1 -2 4 -1 -1 0 2 2 -1 -1 -1 0 -1 0 -2 2 2 1 -1] [-2 1 -3 -2 0 -1 6 -1 2 -1 0 3 -1 0 1 1 2 1 0 -1 -2 1] [-1 -1 -1 2 -1 -1 -1 6 -3 1 1 -1 2 2 -2 0 2 1 0 1 2 1] [ 0 1 -1 -1 1 0 2 -3 4 -1 0 1 -2 -1 1 0 -1 0 -1 -1 -2 0] [ 0 1 1 -1 -2 2 -1 1 -1 4 2 -1 1 -1 -1 -1 0 -2 2 2 1 -1] [-1 1 -1 -1 -2 2 0 1 0 2 4 -1 0 -1 0 -1 1 -2 1 1 0 -1] [-1 1 -3 -2 1 -1 3 -1 1 -1 -1 4 0 -1 1 0 0 1 0 0 -1 0] [-1 1 0 1 0 -1 -1 2 -2 1 0 0 4 0 1 1 0 0 0 0 2 -2] [-1 -1 1 3 0 -1 0 2 -1 -1 -1 -1 0 4 -1 1 1 1 -1 0 2 1] [-1 2 -1 0 1 0 1 -2 1 -1 0 1 1 -1 4 1 -1 0 -1 -1 0 -2] [ 0 0 1 1 1 -1 1 0 0 -1 -1 0 1 1 1 4 1 1 -1 -1 0 0] [-1 -1 -1 -1 -1 0 2 2 -1 0 1 0 0 1 -1 1 4 0 1 0 0 2] [ 0 -1 -1 2 2 -2 1 1 0 -2 -2 1 0 1 0 1 0 4 -1 -1 0 1] [ 1 0 0 -2 -2 2 0 0 -1 2 1 0 0 -1 -1 -1 1 -1 4 1 0 1] [ 0 1 0 -1 -2 2 -1 1 -1 2 1 0 0 0 -1 -1 0 -1 1 4 2 0] [-2 0 2 3 -1 1 -2 2 -2 1 0 -1 2 2 0 0 0 0 0 2 6 -2] [ 2 -2 -1 -1 -1 -1 1 1 0 -1 -1 0 -2 1 -2 0 2 1 1 0 -2 6] |Aut| = [ <2, 5> ] Modular = false LatDB = - 524. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 1 1 -2 2 0 1 -2 -1 -2 -1 0 2 -1 1 -1 2] [ 1 4 2 -1 0 2 -1 2 -1 -1 1 -1 -1 -1 0 -1 -1 2 -2 0 1 1] [ 2 2 4 -2 -1 2 0 1 -1 0 0 -1 -1 0 -1 -1 0 1 -2 1 0 1] [-1 -1 -2 4 -1 0 0 0 0 1 1 0 0 1 1 1 -1 1 0 1 0 0] [-1 0 -1 -1 4 0 -1 0 0 -2 -1 0 0 -1 1 1 -1 -2 1 -2 0 0] [ 1 2 2 0 0 4 -1 2 -1 -1 0 -1 -2 -1 0 -1 -2 2 -2 0 1 1] [ 1 -1 0 0 -1 -1 4 -1 -1 2 -1 2 -1 0 0 -1 2 -1 -1 0 -2 1] [ 1 2 1 0 0 2 -1 4 -2 0 0 0 -1 0 0 0 -2 1 -1 0 1 1] [-2 -1 -1 0 0 -1 -1 -2 4 -2 0 -1 2 1 0 1 1 -1 1 -1 0 -2] [ 2 -1 0 1 -2 -1 2 0 -2 6 -1 2 -1 1 -2 0 1 0 0 2 -2 2] [ 0 1 0 1 -1 0 -1 0 0 -1 4 -2 0 0 0 -1 0 2 -1 1 1 0] [ 1 -1 -1 0 0 -1 2 0 -1 2 -2 4 -1 -1 0 0 1 0 1 0 -1 1] [-2 -1 -1 0 0 -2 -1 -1 2 -1 0 -1 4 2 0 2 1 -1 1 0 1 -2] [-1 -1 0 1 -1 -1 0 0 1 1 0 -1 2 4 0 2 0 -1 0 1 0 0] [-2 0 -1 1 1 0 0 0 0 -2 0 0 0 0 4 0 -1 -1 0 0 1 0] [-1 -1 -1 1 1 -1 -1 0 1 0 -1 0 2 2 0 4 0 -1 1 0 0 0] [ 0 -1 0 -1 -1 -2 2 -2 1 1 0 1 1 0 -1 0 4 -1 0 0 -1 0] [ 2 2 1 1 -2 2 -1 1 -1 0 2 0 -1 -1 -1 -1 -1 6 -1 2 2 1] [-1 -2 -2 0 1 -2 -1 -1 1 0 -1 1 1 0 0 1 0 -1 4 -1 0 -1] [ 1 0 1 1 -2 0 0 0 -1 2 1 0 0 1 0 0 0 2 -1 4 1 1] [-1 1 0 0 0 1 -2 1 0 -2 1 -1 1 0 1 0 -1 2 0 1 4 -1] [ 2 1 1 0 0 1 1 1 -2 2 0 1 -2 0 0 0 0 1 -1 1 -1 4] |Aut| = [ <2, 5> ] Modular = false LatDB = - 525. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 2 2 2 -1 0 1 0 0 -1 0 1 -1 0 1 0 1 -2] [ 2 4 1 -1 0 0 0 0 0 1 1 0 1 -2 1 1 0 -1 -1 1 -1 -1] [ 0 1 4 -2 0 0 -1 -1 2 1 1 -1 0 0 -1 0 2 -1 -1 2 1 1] [ 1 -1 -2 4 2 2 2 2 -2 0 0 1 0 1 -1 -1 -2 1 1 -2 0 0] [ 2 0 0 2 4 2 1 2 -1 1 1 1 -1 0 0 -1 0 1 1 0 2 -1] [ 2 0 0 2 2 4 1 2 0 1 0 1 0 0 0 0 -1 1 1 0 2 -1] [ 2 0 -1 2 1 1 4 2 -1 -1 1 0 0 1 0 1 -1 0 1 -1 1 0] [ 2 0 -1 2 2 2 2 4 -1 -1 0 1 0 0 1 0 -1 0 2 -1 2 -1] [-1 0 2 -2 -1 0 -1 -1 4 0 1 0 1 0 0 1 2 0 -1 1 1 1] [ 0 1 1 0 1 1 -1 -1 0 4 1 0 0 -1 1 -1 0 0 0 1 0 0] [ 1 1 1 0 1 0 1 0 1 1 4 -1 1 0 -1 1 0 -1 -1 0 0 0] [ 0 0 -1 1 1 1 0 1 0 0 -1 4 -1 -1 0 -1 0 2 0 0 0 -1] [ 0 1 0 0 -1 0 0 0 1 0 1 -1 4 1 0 2 -1 0 -1 0 -1 0] [-1 -2 0 1 0 0 1 0 0 -1 0 -1 1 4 -1 0 0 1 0 -1 0 1] [ 0 1 -1 -1 0 0 0 1 0 1 -1 0 0 -1 6 1 0 -1 2 1 2 0] [ 1 1 0 -1 -1 0 1 0 1 -1 1 -1 2 0 1 4 -1 -1 0 1 1 0] [-1 0 2 -2 0 -1 -1 -1 2 0 0 0 -1 0 0 -1 4 0 -1 1 1 1] [ 0 -1 -1 1 1 1 0 0 0 0 -1 2 0 1 -1 -1 0 4 0 0 0 -1] [ 1 -1 -1 1 1 1 1 2 -1 0 -1 0 -1 0 2 0 -1 0 4 -1 2 0] [ 0 1 2 -2 0 0 -1 -1 1 1 0 0 0 -1 1 1 1 0 -1 4 2 0] [ 1 -1 1 0 2 2 1 2 1 0 0 0 -1 0 2 1 1 0 2 2 6 0] [-2 -1 1 0 -1 -1 0 -1 1 0 0 -1 0 1 0 0 1 -1 0 0 0 4] |Aut| = [ <2, 5> ] Modular = false LatDB = - 526. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 2 1 2 0 1 0 2 1 2 0 -1 1 0 0 1 1 0 2] [ 1 4 -2 0 1 1 2 -1 -1 -1 0 -1 -1 -1 0 -1 1 1 0 2 -1 1] [-1 -2 4 -1 0 -2 -2 0 -1 1 0 1 0 -1 1 0 0 0 -1 -2 1 -2] [ 2 0 -1 4 0 2 2 1 0 0 0 1 0 1 -1 2 -1 0 2 0 1 2] [ 2 1 0 0 4 -1 2 0 1 0 2 0 2 0 0 -1 1 1 1 1 -1 1] [ 1 1 -2 2 -1 6 3 2 -2 1 1 1 -2 0 1 1 1 -2 2 0 1 3] [ 2 2 -2 2 2 3 6 0 0 -1 1 0 1 0 1 0 0 1 3 1 0 3] [ 0 -1 0 1 0 2 0 4 0 2 1 1 -1 0 1 0 1 -2 1 -1 0 0] [ 1 -1 -1 0 1 -2 0 0 6 -2 1 1 2 2 0 -1 0 0 0 0 -2 1] [ 0 -1 1 0 0 1 -1 2 -2 4 1 1 0 0 0 0 1 -2 0 -1 1 0] [ 2 0 0 0 2 1 1 1 1 1 4 2 1 0 0 0 1 -1 0 0 0 2] [ 1 -1 1 1 0 1 0 1 1 1 2 4 0 1 1 0 1 -1 0 -2 0 1] [ 2 -1 0 0 2 -2 1 -1 2 0 1 0 6 0 -1 0 0 1 1 1 -1 0] [ 0 -1 -1 1 0 0 0 0 2 0 0 1 0 4 0 0 0 -1 1 0 0 2] [-1 0 1 -1 0 1 1 1 0 0 0 1 -1 0 4 -2 1 -1 1 -1 -1 0] [ 1 -1 0 2 -1 1 0 0 -1 0 0 0 0 0 -2 4 -1 0 0 0 2 1] [ 0 1 0 -1 1 1 0 1 0 1 1 1 0 0 1 -1 4 -1 0 0 -1 1] [ 0 1 0 0 1 -2 1 -2 0 -2 -1 -1 1 -1 -1 0 -1 4 0 1 0 -1] [ 1 0 -1 2 1 2 3 1 0 0 0 0 1 1 1 0 0 0 4 0 0 2] [ 1 2 -2 0 1 0 1 -1 0 -1 0 -2 1 0 -1 0 0 1 0 4 0 1] [ 0 -1 1 1 -1 1 0 0 -2 1 0 0 -1 0 -1 2 -1 0 0 0 4 0] [ 2 1 -2 2 1 3 3 0 1 0 2 1 0 2 0 1 1 -1 2 1 0 6] |Aut| = [ <2, 5> ] Modular = false LatDB = - 527. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 -1 0 -1 -2 -1 2 2 1 1 1 1 1 -1 1 -1 2] [ 1 4 0 -2 2 0 -2 0 1 -1 0 0 1 1 -1 -1 -1 2 -1 2 1 1] [-1 0 4 -1 0 0 0 1 1 1 1 0 -2 1 -2 1 -1 0 -1 1 1 0] [-1 -2 -1 4 -1 -1 1 -1 0 1 -1 0 -1 -1 2 1 0 -1 0 -2 0 0] [ 2 2 0 -1 4 0 -2 1 1 -1 -1 1 2 1 1 1 1 2 -1 1 0 2] [ 1 0 0 -1 0 4 -1 -1 1 0 0 1 0 1 1 0 2 1 1 0 1 1] [-1 -2 0 1 -2 -1 4 1 -1 1 0 -1 -2 -2 -1 0 -1 -2 0 -1 -1 -1] [ 0 0 1 -1 1 -1 1 4 -1 -1 1 0 0 -1 -2 0 0 0 0 1 -1 0] [-1 1 1 0 1 1 -1 -1 4 2 -1 0 0 0 1 1 0 1 0 0 1 1] [-2 -1 1 1 -1 0 1 -1 2 4 -1 0 -2 -1 1 1 -1 -1 1 -1 1 0] [-1 0 1 -1 -1 0 0 1 -1 -1 4 0 0 1 -3 -1 0 1 1 1 0 -1] [ 2 0 0 0 1 1 -1 0 0 0 0 4 0 1 0 1 1 1 0 0 -1 1] [ 2 1 -2 -1 2 0 -2 0 0 -2 0 0 6 1 1 0 2 2 1 0 -1 1] [ 1 1 1 -1 1 1 -2 -1 0 -1 1 1 1 4 0 0 1 1 0 1 1 1] [ 1 -1 -2 2 1 1 -1 -2 1 1 -3 0 1 0 6 1 1 -1 1 -1 0 2] [ 1 -1 1 1 1 0 0 0 1 1 -1 1 0 0 1 4 1 0 -1 0 0 2] [ 1 -1 -1 0 1 2 -1 0 0 -1 0 1 2 1 1 1 4 1 1 -1 0 1] [ 1 2 0 -1 2 1 -2 0 1 -1 1 1 2 1 -1 0 1 4 0 1 1 1] [-1 -1 -1 0 -1 1 0 0 0 1 1 0 1 0 1 -1 1 0 4 -1 0 0] [ 1 2 1 -2 1 0 -1 1 0 -1 1 0 0 1 -1 0 -1 1 -1 4 1 1] [-1 1 1 0 0 1 -1 -1 1 1 0 -1 -1 1 0 0 0 1 0 1 4 0] [ 2 1 0 0 2 1 -1 0 1 0 -1 1 1 1 2 2 1 1 0 1 0 4] |Aut| = [ <2, 5> ] Modular = false LatDB = - 528. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -2 2 1 0 -1 1 1 0 -1 2 -1 -1 -1 2 -1 0 0 -2 0] [ 1 4 -2 0 0 -1 1 1 -1 -1 1 -2 2 -2 0 -2 -1 -2 1 1 -2 1] [-2 -2 6 3 -1 0 -1 0 -1 -1 -1 2 -2 0 -1 0 -1 0 0 -2 1 0] [-2 0 3 6 -1 -2 -2 2 -2 -2 0 0 0 -2 1 0 -1 -2 -1 -2 2 2] [ 2 0 -1 -1 4 1 0 0 2 2 1 1 2 -1 -1 0 1 -1 -1 0 0 1] [ 1 -1 0 -2 1 4 1 0 1 1 -1 0 -1 2 -1 0 2 2 1 0 -1 0] [ 0 1 -1 -2 0 1 4 1 1 -1 -1 0 -1 2 0 -1 -1 2 1 2 -2 0] [-1 1 0 2 0 0 1 4 0 -1 0 -1 -1 0 0 0 -1 0 1 0 1 2] [ 1 -1 -1 -2 2 1 1 0 4 2 -1 1 0 0 -1 0 1 0 0 0 0 0] [ 1 -1 -1 -2 2 1 -1 -1 2 4 1 1 0 -1 -1 0 1 0 -1 0 0 0] [ 0 1 -1 0 1 -1 -1 0 -1 1 4 0 2 -1 1 0 -1 0 -1 0 0 1] [-1 -2 2 0 1 0 0 -1 1 1 0 4 0 0 -1 0 0 1 -1 -1 0 -1] [ 2 2 -2 0 2 -1 -1 -1 0 0 2 0 6 -3 1 -1 1 -3 0 0 -1 1] [-1 -2 0 -2 -1 2 2 0 0 -1 -1 0 -3 6 0 2 0 4 0 1 1 -1] [-1 0 -1 1 -1 -1 0 0 -1 -1 1 -1 1 0 4 0 -1 0 0 1 0 1] [-1 -2 0 0 0 0 -1 0 0 0 0 0 -1 2 0 4 1 1 -1 0 3 0] [ 2 -1 -1 -1 1 2 -1 -1 1 1 -1 0 1 0 -1 1 4 0 0 -1 0 0] [-1 -2 0 -2 -1 2 2 0 0 0 0 1 -3 4 0 1 0 6 0 1 0 -1] [ 0 1 0 -1 -1 1 1 1 0 -1 -1 -1 0 0 0 -1 0 0 4 0 -1 0] [ 0 1 -2 -2 0 0 2 0 0 0 0 -1 0 1 1 0 -1 1 0 4 0 0] [-2 -2 1 2 0 -1 -2 1 0 0 0 0 -1 1 0 3 0 0 -1 0 6 0] [ 0 1 0 2 1 0 0 2 0 0 1 -1 1 -1 1 0 0 -1 0 0 0 4] |Aut| = [ <2, 5> ] Modular = false LatDB = - 529. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 2 -2 0 1 -2 2 -2 1 0 -2 -1 1 -1 -2 1 -2 -1 0] [ 1 4 0 0 -1 1 -1 1 0 2 1 0 1 -2 1 1 0 -2 0 0 -2 0] [ 2 0 4 -2 0 -1 1 0 -1 1 -2 1 0 -1 0 -1 -1 0 1 -1 0 -1] [-2 0 -2 4 0 1 -1 -1 0 -1 2 -1 1 2 1 0 0 0 -1 1 1 0] [ 2 -1 0 0 6 0 1 -1 -3 1 -1 -1 0 -1 -1 1 1 -1 0 -1 2 -1] [-2 1 -1 1 0 6 0 -2 1 -1 1 -1 2 1 2 -1 1 1 1 2 -1 -2] [ 0 -1 1 -1 1 0 4 -1 0 -1 0 1 -1 0 1 0 -1 0 -1 1 2 -1] [ 1 1 0 -1 -1 -2 -1 4 1 1 0 1 -1 -2 -1 1 -1 -1 -1 -1 0 1] [-2 0 -1 0 -3 1 0 1 4 -2 1 1 -1 0 1 -1 0 1 -1 1 -1 0] [ 2 2 1 -1 1 -1 -1 1 -2 4 -1 -1 1 -2 -1 1 0 -2 1 -1 -1 0] [-2 1 -2 2 -1 1 0 0 1 -1 4 -1 0 0 1 0 0 0 -2 2 1 0] [ 1 0 1 -1 -1 -1 1 1 1 -1 -1 4 0 -1 1 1 -1 0 0 0 -1 1] [ 0 1 0 1 0 2 -1 -1 -1 1 0 0 4 1 0 0 0 -1 2 1 -1 0] [-2 -2 -1 2 -1 1 0 -2 0 -2 0 -1 1 6 1 -2 -1 1 1 0 1 -1] [-1 1 0 1 -1 2 1 -1 1 -1 1 1 0 1 4 -1 -1 0 0 1 -1 -1] [ 1 1 -1 0 1 -1 0 1 -1 1 0 1 0 -2 -1 4 1 -1 -1 0 0 2] [-1 0 -1 0 1 1 -1 -1 0 0 0 -1 0 -1 -1 1 4 1 0 0 0 1] [-2 -2 0 0 -1 1 0 -1 1 -2 0 0 -1 1 0 -1 1 4 0 1 1 0] [ 1 0 1 -1 0 1 -1 -1 -1 1 -2 0 2 1 0 -1 0 0 4 -1 -2 0] [-2 0 -1 1 -1 2 1 -1 1 -1 2 0 1 0 1 0 0 1 -1 4 1 0] [-1 -2 0 1 2 -1 2 0 -1 -1 1 -1 -1 1 -1 0 0 1 -2 1 6 -1] [ 0 0 -1 0 -1 -2 -1 1 0 0 0 1 0 -1 -1 2 1 0 0 0 -1 4] |Aut| = [ <2, 5> ] Modular = false LatDB = - 530. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 2 -1 2 -1 0 -1 0 2 0 0 2 0 2 1 0 -1 0 0 0] [ 2 4 -1 2 -1 2 0 0 0 0 2 0 -1 1 -1 0 0 0 -2 1 -1 1] [ 0 -1 4 1 -1 -1 -1 0 -2 0 -1 0 -1 -1 1 -1 -1 0 0 -1 0 1] [ 2 2 1 6 1 0 1 -2 -2 0 -1 1 -2 1 1 0 -1 -1 -1 0 -1 0] [-1 -1 -1 1 4 0 2 -2 0 1 -2 1 0 0 0 -1 -1 0 1 0 -1 0] [ 2 2 -1 0 0 4 -1 0 1 0 1 0 1 1 -1 1 1 0 -1 1 0 1] [-1 0 -1 1 2 -1 4 0 0 0 -1 0 0 0 -1 -2 0 0 1 1 -2 0] [ 0 0 0 -2 -2 0 0 4 0 -1 1 -2 1 0 0 -1 1 0 1 1 0 0] [-1 0 -2 -2 0 1 0 0 4 0 0 0 1 -1 0 1 1 1 0 1 1 -1] [ 0 0 0 0 1 0 0 -1 0 4 0 2 0 -1 1 1 -2 2 -1 0 -1 0] [ 2 2 -1 -1 -2 1 -1 1 0 0 6 -2 -1 0 -1 0 2 2 0 -1 0 1] [ 0 0 0 1 1 0 0 -2 0 2 -2 4 1 0 0 2 -2 0 -2 1 0 0] [ 0 -1 -1 -2 0 1 0 1 1 0 -1 1 4 1 0 1 1 0 0 2 0 -1] [ 2 1 -1 1 0 1 0 0 -1 -1 0 0 1 4 0 1 1 -2 0 1 0 0] [ 0 -1 1 1 0 -1 -1 0 0 1 -1 0 0 0 4 0 -1 0 1 0 0 -1] [ 2 0 -1 0 -1 1 -2 -1 1 1 0 2 1 1 0 6 1 0 -2 0 2 -1] [ 1 0 -1 -1 -1 1 0 1 1 -2 2 -2 1 1 -1 1 4 0 1 0 1 0] [ 0 0 0 -1 0 0 0 0 1 2 2 0 0 -2 0 0 0 4 0 0 0 0] [-1 -2 0 -1 1 -1 1 1 0 -1 0 -2 0 0 1 -2 1 0 4 -1 0 0] [ 0 1 -1 0 0 1 1 1 1 0 -1 1 2 1 0 0 0 0 -1 4 0 0] [ 0 -1 0 -1 -1 0 -2 0 1 -1 0 0 0 0 0 2 1 0 0 0 4 -1] [ 0 1 1 0 0 1 0 0 -1 0 1 0 -1 0 -1 -1 0 0 0 0 -1 4] |Aut| = [ <2, 5> ] Modular = true LatDB = - 531. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 -1 -1 0 1 1 2 -1 2 0 0 0 0 1 -1 2 -2 2] [ 0 4 -1 -2 -2 1 0 -1 -1 -1 0 -2 -1 -1 1 -1 0 -2 1 0 -1 -1] [ 1 -1 6 -2 1 -2 -1 1 0 1 -1 1 -2 0 0 -2 2 1 -2 -1 2 3] [ 0 -2 -2 6 2 2 1 2 -1 1 1 1 3 2 -2 0 -2 2 0 1 -1 0] [ 0 -2 1 2 4 1 -1 0 0 0 0 1 0 1 0 1 0 2 0 0 1 2] [-1 1 -2 2 1 6 2 -1 -1 -1 -1 -1 -1 1 -1 0 0 -1 1 -1 1 -2] [-1 0 -1 1 -1 2 4 1 -1 0 -1 1 -1 0 -2 0 -1 0 -1 -1 1 -1] [ 0 -1 1 2 0 -1 1 4 0 1 0 1 0 1 -1 -1 0 1 -2 1 0 0] [ 1 -1 0 -1 0 -1 -1 0 4 -1 0 0 0 1 1 1 0 0 0 1 -1 0] [ 1 -1 1 1 0 -1 0 1 -1 4 0 1 1 1 -1 -1 1 1 0 0 -1 1] [ 2 0 -1 1 0 -1 -1 0 0 0 4 0 2 -1 1 0 -1 0 0 2 -2 0] [-1 -2 1 1 1 -1 1 1 0 1 0 4 -1 1 -1 0 0 1 0 -1 0 1] [ 2 -1 -2 3 0 -1 -1 0 0 1 2 -1 6 1 0 1 -2 2 0 2 -3 1] [ 0 -1 0 2 1 1 0 1 1 1 -1 1 1 4 -1 0 0 1 0 0 -1 1] [ 0 1 0 -2 0 -1 -2 -1 1 -1 1 -1 0 -1 4 1 0 -1 1 1 0 -1] [ 0 -1 -2 0 1 0 0 -1 1 -1 0 0 1 0 1 4 -1 1 0 1 0 0] [ 0 0 2 -2 0 0 -1 0 0 1 -1 0 -2 0 0 -1 4 -1 0 -1 1 0] [ 1 -2 1 2 2 -1 0 1 0 1 0 1 2 1 -1 1 -1 4 -1 1 0 3] [-1 1 -2 0 0 1 -1 -2 0 0 0 0 0 0 1 0 0 -1 4 -1 -1 -1] [ 2 0 -1 1 0 -1 -1 1 1 0 2 -1 2 0 1 1 -1 1 -1 4 -1 0] [-2 -1 2 -1 1 1 1 0 -1 -1 -2 0 -3 -1 0 0 1 0 -1 -1 6 -1] [ 2 -1 3 0 2 -2 -1 0 0 1 0 1 1 1 -1 0 0 3 -1 0 -1 6] |Aut| = [ <2, 5> ] Modular = false LatDB = - 532. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 -2 1 0 -1 -2 2 2 -1 1 -1 -1 -1 1 0 2] [ 1 4 0 -2 2 0 0 -1 -1 1 0 1 2 1 -2 -1 1 -2 -2 2 0 1] [-1 0 4 -1 1 0 0 2 -2 1 -1 2 0 -2 0 1 -1 -1 2 1 -1 0] [-1 -2 -1 4 -2 -1 0 0 1 -1 1 -1 -2 0 2 1 0 2 1 -2 1 0] [ 1 2 1 -2 4 0 1 0 -2 0 0 1 2 1 -1 0 0 -2 0 2 -1 1] [ 1 0 0 -1 0 4 1 -1 0 -1 -1 1 2 1 0 0 -2 0 -1 0 1 1] [ 2 0 0 0 1 1 4 -2 1 0 0 -1 2 1 1 2 -2 0 1 0 -1 2] [-2 -1 2 0 0 -1 -2 4 -1 1 0 1 -2 -2 0 0 0 0 1 0 0 -1] [ 1 -1 -2 1 -2 0 1 -1 4 0 1 -2 -1 0 0 1 -1 1 -1 -1 1 1] [ 0 1 1 -1 0 -1 0 1 0 4 -1 0 1 -1 -1 0 1 0 -1 0 -1 0] [-1 0 -1 1 0 -1 0 0 1 -1 4 1 -2 0 0 0 0 0 -1 -1 1 0] [-2 1 2 -1 1 1 -1 1 -2 0 1 6 1 -1 -1 0 0 -2 0 1 0 0] [ 2 2 0 -2 2 2 2 -2 -1 1 -2 1 6 1 0 0 0 -2 0 2 -1 2] [ 2 1 -2 0 1 1 1 -2 0 -1 0 -1 1 4 -1 0 0 0 -2 0 1 1] [-1 -2 0 2 -1 0 1 0 0 -1 0 -1 0 -1 4 0 -1 1 3 -1 -1 0] [ 1 -1 1 1 0 0 2 0 1 0 0 0 0 0 0 4 -1 0 1 0 0 2] [-1 1 -1 0 0 -2 -2 0 -1 1 0 0 0 0 -1 -1 4 0 -1 0 0 -1] [-1 -2 -1 2 -2 0 0 0 1 0 0 -2 -2 0 1 0 0 4 0 -2 1 -1] [-1 -2 2 1 0 -1 1 1 -1 -1 -1 0 0 -2 3 1 -1 0 6 0 -2 0] [ 1 2 1 -2 2 0 0 0 -1 0 -1 1 2 0 -1 0 0 -2 0 4 0 1] [ 0 0 -1 1 -1 1 -1 0 1 -1 1 0 -1 1 -1 0 0 1 -2 0 4 0] [ 2 1 0 0 1 1 2 -1 1 0 0 0 2 1 0 2 -1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 533. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -1 1 2 2 -2 1 -2 1 1 1 -2 0 1 -2 2 2 1 0] [-1 4 0 0 2 0 1 0 1 -1 2 -2 -2 0 2 -1 -2 1 1 0 -2 1] [-2 0 4 -2 -1 -1 -1 -2 1 0 0 1 1 -1 1 -1 -1 1 0 -2 1 1] [ 2 0 -2 4 -1 2 0 2 -2 1 0 0 1 1 -2 0 0 -2 1 2 1 0] [-1 2 -1 -1 6 -2 1 -1 3 -2 3 -2 -4 -2 0 2 -1 1 -2 -1 -1 1] [ 1 0 -1 2 -2 4 0 1 -1 2 0 0 2 2 -1 0 0 -1 2 1 -1 0] [ 2 1 -1 0 1 0 4 0 -1 0 0 0 0 0 0 0 -1 0 2 1 0 0] [ 2 0 -2 2 -1 1 0 4 -2 1 -2 0 0 2 0 0 0 -2 0 2 0 0] [-2 1 1 -2 3 -1 -1 -2 6 -1 3 -1 -2 -1 0 1 1 2 -1 -2 -2 2] [ 1 -1 0 1 -2 2 0 1 -1 4 -1 2 1 2 0 0 0 -2 0 0 1 0] [-2 2 0 0 3 0 0 -2 3 -1 6 -1 -2 -1 1 0 -1 1 -1 -1 -2 0] [ 1 -2 1 0 -2 0 0 0 -1 2 -1 4 2 0 -1 -1 1 -1 0 -1 1 -1] [ 1 -2 1 1 -4 2 0 0 -2 1 -2 2 6 0 -1 -1 1 -1 3 1 1 0] [ 1 0 -1 1 -2 2 0 2 -1 2 -1 0 0 4 0 0 0 -1 0 1 0 0] [-2 2 1 -2 0 -1 0 0 0 0 1 -1 -1 0 6 -2 -2 0 0 0 -2 0] [ 0 -1 -1 0 2 0 0 0 1 0 0 -1 -1 0 -2 4 1 0 -2 0 1 1] [ 1 -2 -1 0 -1 0 -1 0 1 0 -1 1 1 0 -2 1 4 0 0 0 0 0] [-2 1 1 -2 1 -1 0 -2 2 -2 1 -1 -1 -1 0 0 0 4 0 -1 -1 0] [ 2 1 0 1 -2 2 2 0 -1 0 -1 0 3 0 0 -2 0 0 6 1 -1 1] [ 2 0 -2 2 -1 1 1 2 -2 0 -1 -1 1 1 0 0 0 -1 1 4 1 0] [ 1 -2 1 1 -1 -1 0 0 -2 1 -2 1 1 0 -2 1 0 -1 -1 1 6 0] [ 0 1 1 0 1 0 0 0 2 0 0 -1 0 0 0 1 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 534. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 2 -1 -2 1 0 1 0 2 1 1 -1 2 0 1 -2 0 -2] [-2 4 2 -1 1 -1 -1 1 0 0 -1 -1 -1 -1 -1 0 -1 0 0 2 0 0] [-2 2 4 0 2 -1 -1 1 -1 1 -1 0 -1 0 -1 1 -2 -1 -1 0 0 0] [ 1 -1 0 4 0 -1 -1 1 1 0 1 -1 1 0 0 1 -1 0 -1 -1 0 -2] [-1 1 2 0 4 1 1 -1 1 2 -2 0 1 0 1 2 -1 1 1 0 0 0] [ 2 -1 -1 -1 1 6 2 -4 1 0 0 2 2 -1 2 1 1 1 2 -1 -1 -1] [-1 -1 -1 -1 1 2 6 -1 0 0 -2 1 0 -1 2 1 1 2 2 -1 1 2] [-2 1 1 1 -1 -4 -1 6 -1 0 0 0 -1 -1 -3 0 -2 -2 -1 0 0 2] [ 1 0 -1 1 1 1 0 -1 4 1 0 0 2 1 0 0 1 2 0 -1 1 -2] [ 0 0 1 0 2 0 0 0 1 4 0 1 1 0 0 1 0 1 1 -2 1 1] [ 1 -1 -1 1 -2 0 -2 0 0 0 4 0 0 0 -1 -1 0 0 -1 0 0 -1] [ 0 -1 0 -1 0 2 1 0 0 1 0 4 0 -1 0 1 0 0 0 -2 0 2] [ 2 -1 -1 1 1 2 0 -1 2 1 0 0 4 1 1 1 1 0 1 -1 -1 -2] [ 1 -1 0 0 0 -1 -1 -1 1 0 0 -1 1 4 0 -1 1 0 -1 -1 1 -2] [ 1 -1 -1 0 1 2 2 -3 0 0 -1 0 1 0 4 1 1 1 1 0 0 0] [-1 0 1 1 2 1 1 0 0 1 -1 1 1 -1 1 4 -1 0 0 0 -1 1] [ 2 -1 -2 -1 -1 1 1 -2 1 0 0 0 1 1 1 -1 4 1 1 -1 1 0] [ 0 0 -1 0 1 1 2 -2 2 1 0 0 0 0 1 0 1 4 1 0 2 0] [ 1 0 -1 -1 1 2 2 -1 0 1 -1 0 1 -1 1 0 1 1 4 -1 0 1] [-2 2 0 -1 0 -1 -1 0 -1 -2 0 -2 -1 -1 0 0 -1 0 -1 6 -1 0] [ 0 0 0 0 0 -1 1 0 1 1 0 0 -1 1 0 -1 1 2 0 -1 4 0] [-2 0 0 -2 0 -1 2 2 -2 1 -1 2 -2 -2 0 1 0 0 1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 535. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 -1 0 2 0 -2 0 1 0 0 1 1 1 1 0 -1 0 0 0] [ 2 4 -2 0 1 -1 1 -1 -2 1 0 0 1 0 0 2 2 1 0 0 0 0] [-2 -2 4 0 -1 1 -1 0 2 0 -1 -1 -1 -1 -1 -2 -2 0 0 0 1 1] [-2 0 0 4 2 -1 -2 1 1 1 0 -1 1 0 0 0 1 1 2 1 0 1] [-1 1 -1 2 4 0 0 1 -1 1 0 1 0 0 -1 1 2 1 2 1 0 1] [ 0 -1 1 -1 0 4 0 -1 1 -1 1 0 -1 1 -1 -2 -2 0 1 0 0 1] [ 2 1 -1 -2 0 0 4 0 -1 1 0 2 -1 0 -1 1 1 -1 -1 0 -1 -1] [ 0 -1 0 1 1 -1 0 4 0 1 1 0 -1 1 0 1 1 0 1 0 0 0] [-2 -2 2 1 -1 1 -1 0 4 0 0 -1 -1 0 -1 -2 -2 0 0 0 0 0] [ 0 1 0 1 1 -1 1 1 0 4 -1 -1 0 1 0 1 1 -1 1 1 -1 0] [ 1 0 -1 0 0 1 0 1 0 -1 4 1 0 1 1 0 -1 1 1 -1 1 0] [ 0 0 -1 -1 1 0 2 0 -1 -1 1 6 1 -2 -2 1 2 -1 0 -2 -1 -2] [ 0 1 -1 1 0 -1 -1 -1 -1 0 0 1 4 0 1 1 2 -1 0 -1 -1 0] [ 1 0 -1 0 0 1 0 1 0 1 1 -2 0 4 1 0 -1 0 1 1 -1 0] [ 1 0 -1 0 -1 -1 -1 0 -1 0 1 -2 1 1 4 0 -1 0 0 0 1 1] [ 1 2 -2 0 1 -2 1 1 -2 1 0 1 1 0 0 4 3 0 0 -1 -1 -1] [ 1 2 -2 1 2 -2 1 1 -2 1 -1 2 2 -1 -1 3 6 -1 0 0 -1 0] [ 0 1 0 1 1 0 -1 0 0 -1 1 -1 -1 0 0 0 -1 4 1 1 2 1] [-1 0 0 2 2 1 -1 1 0 1 1 0 0 1 0 0 0 1 4 0 0 1] [ 0 0 0 1 1 0 0 0 0 1 -1 -2 -1 1 0 -1 0 1 0 4 1 1] [ 0 0 1 0 0 0 -1 0 0 -1 1 -1 -1 -1 1 -1 -1 2 0 1 4 1] [ 0 0 1 1 1 1 -1 0 0 0 0 -2 0 0 1 -1 0 1 1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 536. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 2 -1 0 2 1 -1 0 -1 1 2 -1 0 -1 -1 1 -1 2 -1 -2] [ 1 4 1 0 -1 1 1 2 -1 0 -1 0 1 1 0 -1 -1 1 -2 1 1 0] [ 1 1 4 2 -1 2 0 2 0 1 -2 1 2 -1 0 1 0 -1 0 2 -1 0] [ 2 0 2 4 -1 0 0 0 -1 0 -1 0 2 0 1 1 -1 -1 1 2 0 0] [-1 -1 -1 -1 4 0 1 -2 -1 1 0 1 0 0 0 0 2 0 1 0 0 0] [ 0 1 2 0 0 4 -1 1 -1 0 0 0 2 -1 0 1 0 0 -1 2 0 0] [ 2 1 0 0 1 -1 4 0 -1 1 -1 2 1 0 -1 -2 1 1 -1 1 -1 -1] [ 1 2 2 0 -2 1 0 4 0 0 -1 0 0 0 0 -1 -1 0 -2 0 -1 -1] [-1 -1 0 -1 -1 -1 -1 0 6 -1 -1 -1 0 0 -2 0 2 -2 1 0 -1 1] [ 0 0 1 0 1 0 1 0 -1 4 -2 1 1 0 1 -1 1 1 1 1 -1 -1] [-1 -1 -2 -1 0 0 -1 -1 -1 -2 4 0 -1 0 0 1 -1 0 0 -1 1 1] [ 1 0 1 0 1 0 2 0 -1 1 0 4 0 -1 0 0 0 0 0 0 -1 -1] [ 2 1 2 2 0 2 1 0 0 1 -1 0 6 -1 -1 0 1 0 0 4 -1 0] [-1 1 -1 0 0 -1 0 0 0 0 0 -1 -1 4 0 -1 0 -1 0 0 1 1] [ 0 0 0 1 0 0 -1 0 -2 1 0 0 -1 0 4 0 -1 0 1 0 0 -1] [-1 -1 1 1 0 1 -2 -1 0 -1 1 0 0 -1 0 4 0 -1 1 0 1 2] [-1 -1 0 -1 2 0 1 -1 2 1 -1 0 1 0 -1 0 4 -1 1 1 -1 1] [ 1 1 -1 -1 0 0 1 0 -2 1 0 0 0 -1 0 -1 -1 4 -1 0 1 -1] [-1 -2 0 1 1 -1 -1 -2 1 1 0 0 0 0 1 1 1 -1 4 0 0 1] [ 2 1 2 2 0 2 1 0 0 1 -1 0 4 0 0 0 1 0 0 6 0 0] [-1 1 -1 0 0 0 -1 -1 -1 -1 1 -1 -1 1 0 1 -1 1 0 0 4 1] [-2 0 0 0 0 0 -1 -1 1 -1 1 -1 0 1 -1 2 1 -1 1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 537. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 1 2 -1 1 1 -2 1 0 0 -1 2 -1 1 1 -1 1 -1] [ 1 4 -2 -1 1 2 1 1 2 1 0 0 1 1 0 -1 -2 1 0 0 2 -2] [-1 -2 4 -1 0 -2 -1 1 -2 0 -1 0 -1 0 -1 -1 2 0 -1 1 0 2] [ 1 -1 -1 4 0 0 0 -2 1 -1 -1 0 0 -1 -1 1 -1 0 1 0 -1 0] [-1 1 0 0 4 -1 -2 2 0 -1 1 0 -1 -1 1 0 0 1 -1 0 1 0] [ 1 2 -2 0 -1 4 2 -1 2 1 -1 -1 2 0 0 0 -2 0 0 0 0 -2] [ 2 1 -1 0 -2 2 4 -2 1 2 -2 1 1 0 0 0 -1 0 0 0 0 -1] [-1 1 1 -2 2 -1 -2 4 -1 -1 1 0 0 0 1 -1 0 0 -1 0 1 0] [ 1 2 -2 1 0 2 1 -1 4 0 0 0 1 1 0 -1 -2 1 1 1 1 -1] [ 1 1 0 -1 -1 1 2 -1 0 4 0 1 1 0 -1 1 0 1 -1 0 0 -1] [-2 0 -1 -1 1 -1 -2 1 0 0 6 1 -1 -1 1 1 1 -1 1 0 -1 1] [ 1 0 0 0 0 -1 1 0 0 1 1 4 0 -1 0 1 1 1 1 0 0 0] [ 0 1 -1 0 -1 2 1 0 1 1 -1 0 4 1 0 0 -2 0 0 1 0 -2] [ 0 1 0 -1 -1 0 0 0 1 0 -1 -1 1 4 -1 -1 -1 0 1 1 1 -1] [-1 0 -1 -1 1 0 0 1 0 -1 1 0 0 -1 4 0 0 0 -1 -1 0 0] [ 2 -1 -1 1 0 0 0 -1 -1 1 1 1 0 -1 0 6 0 0 1 -1 -1 -1] [-1 -2 2 -1 0 -2 -1 0 -2 0 1 1 -2 -1 0 0 4 0 0 0 0 2] [ 1 1 0 0 1 0 0 0 1 1 -1 1 0 0 0 0 0 4 -1 -1 1 0] [ 1 0 -1 1 -1 0 0 -1 1 -1 1 1 0 1 -1 1 0 -1 4 0 0 0] [-1 0 1 0 0 0 0 0 1 0 0 0 1 1 -1 -1 0 -1 0 4 1 0] [ 1 2 0 -1 1 0 0 1 1 0 -1 0 0 1 0 -1 0 1 0 1 4 -1] [-1 -2 2 0 0 -2 -1 0 -1 -1 1 0 -2 -1 0 -1 2 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 538. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 0 -2 -1 -2 -2 0 0 1 1 1 -1 -1 0 0 1 0 -2 -1] [ 0 4 -1 -1 1 1 -1 1 0 0 -1 1 -1 -2 2 1 -2 0 0 0 0 0] [ 1 -1 4 0 -2 0 0 0 -1 -1 -1 -1 0 0 0 -2 2 1 2 -1 -1 1] [ 2 -1 0 4 -1 -2 0 -2 -1 1 1 0 1 1 -1 0 1 1 0 -1 -2 0] [ 0 1 -2 -1 4 1 -1 1 0 1 -1 1 1 0 1 2 -2 -1 -1 1 1 0] [-2 1 0 -2 1 4 1 2 1 -1 -2 0 0 -1 1 1 -1 0 0 0 1 1] [-1 -1 0 0 -1 1 4 1 2 -1 1 -1 -1 1 -1 0 0 -1 1 1 0 -1] [-2 1 0 -2 1 2 1 4 2 -1 -1 -1 -1 -1 1 1 -1 0 0 0 1 1] [-2 0 -1 -1 0 1 2 2 4 -1 1 0 -2 0 0 0 -1 -1 0 1 1 0] [ 0 0 -1 1 1 -1 -1 -1 -1 4 0 1 0 0 1 1 0 1 0 -1 1 0] [ 0 -1 -1 1 -1 -2 1 -1 1 0 4 -1 0 1 -1 -1 0 -1 0 1 0 -1] [ 1 1 -1 0 1 0 -1 -1 0 1 -1 4 -1 0 0 0 -1 -1 -1 1 0 -1] [ 1 -1 0 1 1 0 -1 -1 -2 0 0 -1 4 0 -1 0 1 0 -1 0 -1 1] [ 1 -2 0 1 0 -1 1 -1 0 0 1 0 0 4 -1 -1 1 0 0 0 -1 -2] [-1 2 0 -1 1 1 -1 1 0 1 -1 0 -1 -1 4 1 -1 0 0 -1 1 1] [-1 1 -2 0 2 1 0 1 0 1 -1 0 0 -1 1 4 -1 0 -1 0 1 1] [ 0 -2 2 1 -2 -1 0 -1 -1 0 0 -1 1 1 -1 -1 4 1 0 -1 -1 1] [ 0 0 1 1 -1 0 -1 0 -1 1 -1 -1 0 0 0 0 1 4 1 -2 0 1] [ 1 0 2 0 -1 0 1 0 0 0 0 -1 -1 0 0 -1 0 1 4 -1 0 0] [ 0 0 -1 -1 1 0 1 0 1 -1 1 1 0 0 -1 0 -1 -2 -1 4 1 -1] [-2 0 -1 -2 1 1 0 1 1 1 0 0 -1 -1 1 1 -1 0 0 1 4 0] [-1 0 1 0 0 1 -1 1 0 0 -1 -1 1 -2 1 1 1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 539. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 -1 -1 -1 2 2 0 1 0 -1 -1 -1 -1 1 0 0 0 0 1] [ 0 4 -1 1 2 1 1 -2 -2 -1 -1 1 -1 2 -1 -1 -1 0 2 0 1 1] [ 1 -1 4 0 0 1 1 2 2 2 0 -1 0 0 -1 -1 -1 0 -2 0 -1 -1] [-2 1 0 4 2 0 0 0 -1 0 0 -1 0 1 1 1 -1 0 -1 0 0 -1] [-1 2 0 2 4 0 0 0 -2 0 0 1 0 2 -1 -1 -2 0 1 0 0 1] [-1 1 1 0 0 4 2 -2 -1 1 -2 0 -1 1 -1 0 -1 -1 1 -1 0 -1] [-1 1 1 0 0 2 4 -2 0 1 -1 0 1 2 0 -1 -1 1 0 1 -1 0] [ 2 -2 2 0 0 -2 -2 6 3 1 2 -2 -1 -2 -1 1 1 -1 -1 1 0 -1] [ 2 -2 2 -1 -2 -1 0 3 6 2 0 -1 0 -1 0 0 0 1 -2 0 -2 0] [ 0 -1 2 0 0 1 1 1 2 4 0 0 0 0 -1 0 0 1 -2 -1 -2 0] [ 1 -1 0 0 0 -2 -1 2 0 0 4 -1 1 -1 0 0 2 1 0 0 0 0] [ 0 1 -1 -1 1 0 0 -2 -1 0 -1 4 0 1 -1 -1 -1 0 0 -1 0 2] [-1 -1 0 0 0 -1 1 -1 0 0 1 0 4 0 2 -1 0 1 0 1 -1 1] [-1 2 0 1 2 1 2 -2 -1 0 -1 1 0 4 -1 -1 -2 1 0 0 0 1] [-1 -1 -1 1 -1 -1 0 -1 0 -1 0 -1 2 -1 4 0 0 0 0 1 -1 0] [-1 -1 -1 1 -1 0 -1 1 0 0 0 -1 -1 -1 0 4 2 -1 -1 0 1 -1] [ 1 -1 -1 -1 -2 -1 -1 1 0 0 2 -1 0 -2 0 2 4 0 0 0 1 0] [ 0 0 0 0 0 -1 1 -1 1 1 1 0 1 1 0 -1 0 4 -1 0 -1 1] [ 0 2 -2 -1 1 1 0 -1 -2 -2 0 0 0 0 0 -1 0 -1 6 0 1 1] [ 0 0 0 0 0 -1 1 1 0 -1 0 -1 1 0 1 0 0 0 0 4 1 0] [ 0 1 -1 0 0 0 -1 0 -2 -2 0 0 -1 0 -1 1 1 -1 1 1 4 -1] [ 1 1 -1 -1 1 -1 0 -1 0 0 0 2 1 1 0 -1 0 1 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 540. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 -1 -1 -2 1 -2 1 0 1 1 -1 -1 -1 1 2 -2 2 2] [-2 4 2 -1 1 2 2 0 0 1 -1 0 0 -2 0 1 0 -2 -1 2 -1 -2] [-2 2 4 -1 2 2 0 2 1 2 0 -1 -1 -2 1 0 0 -2 -1 2 0 -2] [ 1 -1 -1 4 1 -2 -2 -2 1 -1 0 -1 1 0 -1 -2 1 0 2 -1 2 0] [-1 1 2 1 4 1 0 1 2 1 0 -2 1 -1 -1 0 0 -1 1 1 0 -1] [-1 2 2 -2 1 4 2 2 0 2 -1 0 -1 -2 0 1 -1 -2 0 1 0 -1] [-1 2 0 -2 0 2 4 0 0 0 -1 0 0 -1 0 1 -1 0 -1 1 -1 -1] [-2 0 2 -2 1 2 0 6 0 3 0 1 -1 0 1 1 -1 -1 -2 1 -2 0] [ 1 0 1 1 2 0 0 0 6 -2 1 -2 2 0 -2 0 1 0 -1 1 2 0] [-2 1 2 -1 1 2 0 3 -2 6 -2 0 -2 -1 1 0 -2 -1 1 1 -2 -1] [ 1 -1 0 0 0 -1 -1 0 1 -2 4 -1 1 1 0 0 1 1 0 -1 1 1] [ 0 0 -1 -1 -2 0 0 1 -2 0 -1 4 0 0 0 0 0 0 -1 -1 -2 0] [ 1 0 -1 1 1 -1 0 -1 2 -2 1 0 4 0 -1 0 1 0 1 0 0 1] [ 1 -2 -2 0 -1 -2 -1 0 0 -1 1 0 0 4 -1 1 0 2 -1 -1 0 2] [-1 0 1 -1 -1 0 0 1 -2 1 0 0 -1 -1 4 -1 -1 -1 0 1 -1 0] [-1 1 0 -2 0 1 1 1 0 0 0 0 0 1 -1 4 1 0 -2 1 -1 1] [-1 0 0 1 0 -1 -1 -1 1 -2 1 0 1 0 -1 1 4 0 -1 0 1 0] [ 1 -2 -2 0 -1 -2 0 -1 0 -1 1 0 0 2 -1 0 0 4 0 -1 0 1] [ 2 -1 -1 2 1 0 -1 -2 -1 1 0 -1 1 -1 0 -2 -1 0 6 -2 1 1] [-2 2 2 -1 1 1 1 1 1 1 -1 -1 0 -1 1 1 0 -1 -2 4 0 -1] [ 2 -1 0 2 0 0 -1 -2 2 -2 1 -2 0 0 -1 -1 1 0 1 0 6 0] [ 2 -2 -2 0 -1 -1 -1 0 0 -1 1 0 1 2 0 1 0 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 541. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 -1 1 2 1 1 0 -2 -1 1 -2 -2 2 -1 -1 1 1 -1 2] [ 1 4 1 -1 -2 -1 1 2 2 -1 -2 -2 2 0 -1 1 1 -2 0 -1 0 1] [-2 1 6 -1 -1 -3 -3 0 1 1 2 1 1 2 2 0 0 -1 -2 -2 1 -2] [-1 -1 -1 4 0 0 0 0 0 -1 -1 0 0 1 0 0 0 0 1 0 -1 0] [-1 -2 -1 0 4 0 -1 -2 -2 0 0 0 -2 0 0 -2 -1 2 -1 1 0 0] [ 1 -1 -3 0 0 4 1 -1 -1 -1 -1 1 -1 -2 0 0 1 1 1 1 -1 1] [ 2 1 -3 0 -1 1 4 2 1 0 -2 -1 1 -1 -2 1 0 -1 2 1 0 2] [ 1 2 0 0 -2 -1 2 4 2 0 -1 -2 2 1 -1 2 0 -2 1 -1 0 1] [ 1 2 1 0 -2 -1 1 2 4 1 -1 -2 1 0 0 2 0 -2 0 0 0 1] [ 0 -1 1 -1 0 -1 0 0 1 4 2 1 0 1 0 0 0 0 -1 1 1 -1] [-2 -2 2 -1 0 -1 -2 -1 -1 2 6 1 -1 1 1 -1 0 0 -2 0 2 -2] [-1 -2 1 0 0 1 -1 -2 -2 1 1 6 0 0 1 -2 1 2 1 1 -1 -2] [ 1 2 1 0 -2 -1 1 2 1 0 -1 0 4 1 -1 1 1 -2 1 0 -1 1] [-2 0 2 1 0 -2 -1 1 0 1 1 0 1 4 0 0 0 -1 0 -1 1 -1] [-2 -1 2 0 0 0 -2 -1 0 0 1 1 -1 0 4 -1 0 1 -1 -1 0 -1] [ 2 1 0 0 -2 0 1 2 2 0 -1 -2 1 0 -1 4 -1 -2 1 -1 0 1] [-1 1 0 0 -1 1 0 0 0 0 0 1 1 0 0 -1 4 0 0 0 -1 -1] [-1 -2 -1 0 2 1 -1 -2 -2 0 0 2 -2 -1 1 -2 0 4 0 1 0 -1] [ 1 0 -2 1 -1 1 2 1 0 -1 -2 1 1 0 -1 1 0 0 4 0 -1 1] [ 1 -1 -2 0 1 1 1 -1 0 1 0 1 0 -1 -1 -1 0 1 0 4 0 1] [-1 0 1 -1 0 -1 0 0 0 1 2 -1 -1 1 0 0 -1 0 -1 0 4 -1] [ 2 1 -2 0 0 1 2 1 1 -1 -2 -2 1 -1 -1 1 -1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 542. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 2 1 0 2 0 0 -1 2 -1 1 0 -1 2 1 2 -1 0] [ 1 6 -3 1 1 1 1 1 1 -2 2 0 0 0 -2 -1 1 1 3 0 2 0] [-1 -3 6 -2 1 -2 -1 1 1 2 -1 -2 -1 2 -1 -1 -1 -2 -1 1 -3 -2] [-1 1 -2 4 -2 0 1 1 -2 0 0 2 0 0 1 0 2 0 1 -1 1 1] [ 2 1 1 -2 4 0 1 1 2 0 0 -1 0 1 -1 0 -1 0 0 2 0 0] [ 2 1 -2 0 0 4 1 0 0 -1 0 0 1 -1 2 -1 -1 2 0 0 -1 1] [ 1 1 -1 1 1 1 4 2 -1 0 1 0 1 -1 2 1 -1 1 -1 0 0 0] [ 0 1 1 1 1 0 2 4 0 1 0 0 -1 1 1 0 0 0 1 0 0 0] [ 2 1 1 -2 2 0 -1 0 4 0 0 -1 0 0 -2 0 -1 0 1 2 0 0] [ 0 -2 2 0 0 -1 0 1 0 4 -2 0 0 1 1 0 1 0 0 0 -2 0] [ 0 2 -1 0 0 0 1 0 0 -2 4 -1 1 -1 -1 0 0 1 1 -1 1 -1] [-1 0 -2 2 -1 0 0 0 -1 0 -1 4 -1 0 0 1 1 -1 -1 -1 2 2] [ 2 0 -1 0 0 1 1 -1 0 0 1 -1 4 -2 2 0 0 1 1 1 -1 0] [-1 0 2 0 1 -1 -1 1 0 1 -1 0 -2 4 -2 -1 1 -1 0 0 0 0] [ 1 -2 -1 1 -1 2 2 1 -2 1 -1 0 2 -2 6 0 -1 1 0 0 -2 1] [ 0 -1 -1 0 0 -1 1 0 0 0 0 1 0 -1 0 4 0 0 -2 0 2 1] [-1 1 -1 2 -1 -1 -1 0 -1 1 0 1 0 1 -1 0 4 0 2 -1 1 1] [ 2 1 -2 0 0 2 1 0 0 0 1 -1 1 -1 1 0 0 4 1 0 0 0] [ 1 3 -1 1 0 0 -1 1 1 0 1 -1 1 0 0 -2 2 1 6 0 0 0] [ 2 0 1 -1 2 0 0 0 2 0 -1 -1 1 0 0 0 -1 0 0 4 0 0] [-1 2 -3 1 0 -1 0 0 0 -2 1 2 -1 0 -2 2 1 0 0 0 6 1] [ 0 0 -2 1 0 1 0 0 0 0 -1 2 0 0 1 1 1 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 543. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 -1 1 -1 1 -1 -1 1 1 2 1 1 2 -1 0 -2 1 0] [ 0 4 -1 0 0 2 -1 1 0 0 -1 -1 1 1 -2 1 0 2 1 1 1 2] [ 1 -1 4 -1 1 0 0 -1 1 1 -1 2 1 1 2 1 -1 0 1 0 1 0] [ 0 0 -1 4 -2 0 1 0 -2 -1 0 -2 0 -1 0 -1 0 -2 -1 0 1 1] [ 0 0 1 -2 4 1 -2 -1 0 2 1 0 -1 0 0 0 -1 0 0 0 1 0] [-1 2 0 0 1 4 -2 0 -1 0 -1 0 1 0 -1 0 -1 2 0 1 2 2] [ 1 -1 0 1 -2 -2 4 -1 0 0 -1 1 0 0 0 -1 2 -1 1 -1 0 0] [-1 1 -1 0 -1 0 -1 4 1 0 1 0 0 -1 -1 1 0 2 0 1 0 0] [ 1 0 1 -2 0 -1 0 1 4 0 0 1 1 1 0 1 1 2 1 -1 -1 -1] [-1 0 1 -1 2 0 0 0 0 4 0 1 -1 -1 -1 -1 -1 0 1 1 0 1] [-1 -1 -1 0 1 -1 -1 1 0 0 4 -2 -2 -2 0 -1 -1 0 -1 0 -1 -1] [ 1 -1 2 -2 0 0 1 0 1 1 -2 6 0 1 0 1 1 2 2 -1 1 0] [ 1 1 1 0 -1 1 0 0 1 -1 -2 0 4 1 1 1 0 1 1 1 0 1] [ 2 1 1 -1 0 0 0 -1 1 -1 -2 1 1 4 0 2 1 0 0 -1 1 0] [ 1 -2 2 0 0 -1 0 -1 0 -1 0 0 1 0 4 0 -1 -2 0 0 -1 -1] [ 1 1 1 -1 0 0 -1 1 1 -1 -1 1 1 2 0 4 1 1 0 0 1 0] [ 2 0 -1 0 -1 -1 2 0 1 -1 -1 1 0 1 -1 1 4 0 0 -2 1 0] [-1 2 0 -2 0 2 -1 2 2 0 0 2 1 0 -2 1 0 6 2 1 1 1] [ 0 1 1 -1 0 0 1 0 1 1 -1 2 1 0 0 0 0 2 4 0 0 1] [-2 1 0 0 0 1 -1 1 -1 1 0 -1 1 -1 0 0 -2 1 0 4 0 1] [ 1 1 1 1 1 2 0 0 -1 0 -1 1 0 1 -1 1 1 1 0 0 6 1] [ 0 2 0 1 0 2 0 0 -1 1 -1 0 1 0 -1 0 0 1 1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 544. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 -1 -1 0 -1 -1 -1 1 1 0 0 -1 0 2 -2 -1 2 0 -2] [ 2 6 1 -1 2 1 2 -2 -2 1 -1 -1 1 -1 2 -2 0 1 -1 -1 -1 -3] [ 0 1 4 0 -1 -1 0 0 0 -1 -1 -1 1 -2 -1 -1 0 1 0 -1 -1 0] [ 0 -1 0 4 -2 0 0 0 0 0 -1 -1 1 0 1 -1 -1 -1 1 1 2 -1] [-1 2 -1 -2 6 3 2 1 1 3 -1 -1 1 0 3 1 -2 0 1 0 -1 1] [-1 1 -1 0 3 4 1 0 1 2 -1 0 1 1 2 0 -2 1 0 -1 0 0] [ 0 2 0 0 2 1 4 1 1 1 -2 -2 0 -1 3 0 0 0 1 0 0 -2] [-1 -2 0 0 1 0 1 4 1 0 -1 -1 -1 -1 1 2 0 -1 2 1 1 2] [-1 -2 0 0 1 1 1 1 4 1 0 0 1 0 0 1 0 0 0 0 0 1] [-1 1 -1 0 3 2 1 0 1 4 0 -1 1 1 2 0 -2 1 0 -1 0 0] [ 1 -1 -1 -1 -1 -1 -2 -1 0 0 4 2 0 2 -2 1 1 -1 -2 1 -1 0] [ 1 -1 -1 -1 -1 0 -2 -1 0 -1 2 4 0 2 -2 1 1 -1 -2 1 -1 0] [ 0 1 1 1 1 1 0 -1 1 1 0 0 4 0 1 0 -1 -1 -1 1 0 0] [ 0 -1 -2 0 0 1 -1 -1 0 1 2 2 0 4 0 1 -1 0 -1 0 0 -1] [-1 2 -1 1 3 2 3 1 0 2 -2 -2 1 0 6 0 -2 -1 1 0 1 -1] [ 0 -2 -1 -1 1 0 0 2 1 0 1 1 0 1 0 4 1 -2 0 2 0 2] [ 2 0 0 -1 -2 -2 0 0 0 -2 1 1 -1 -1 -2 1 4 -1 -1 1 0 0] [-2 1 1 -1 0 1 0 -1 0 1 -1 -1 -1 0 -1 -2 -1 6 0 -4 0 0] [-1 -1 0 1 1 0 1 2 0 0 -2 -2 -1 -1 1 0 -1 0 4 0 1 1] [ 2 -1 -1 1 0 -1 0 1 0 -1 1 1 1 0 0 2 1 -4 0 6 1 0] [ 0 -1 -1 2 -1 0 0 1 0 0 -1 -1 0 0 1 0 0 0 1 1 4 0] [-2 -3 0 -1 1 0 -2 2 1 0 0 0 0 -1 -1 2 0 0 1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 545. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 -1 1 1 1 -1 1 0 1 -2 0 0 0 -2 0 2 0 1] [-2 4 -2 0 -1 -1 1 -1 -2 2 0 0 -1 0 -1 -1 0 1 -1 -1 -1 1] [ 2 -2 4 -1 2 1 -1 0 0 0 0 -1 1 0 1 0 -1 0 1 0 0 0] [-1 0 -1 4 1 -1 -1 -1 0 0 0 1 1 1 1 -1 2 2 1 -2 2 0] [ 1 -1 2 1 4 -1 -2 0 0 0 0 1 2 0 2 0 1 0 2 0 0 0] [-1 -1 1 -1 -1 4 -1 0 1 -1 -1 -1 0 1 0 0 -1 1 0 -1 0 -1] [ 1 1 -1 -1 -2 -1 6 1 -1 2 -1 0 -2 -3 -2 0 -2 0 0 0 0 1] [ 1 -1 0 -1 0 0 1 4 2 -2 -1 1 0 0 1 2 -1 -2 1 2 -1 -1] [ 1 -2 0 0 0 1 -1 2 6 -4 0 2 2 0 2 0 0 0 0 0 0 -1] [-1 2 0 0 0 -1 2 -2 -4 6 -1 -1 -1 -1 -2 0 0 2 1 -2 0 2] [ 1 0 0 0 0 -1 -1 -1 0 -1 4 0 0 0 -1 -1 1 -2 -2 1 0 1] [ 0 0 -1 1 1 -1 0 1 2 -1 0 4 0 0 2 -1 1 1 0 -1 1 -1] [ 1 -1 1 1 2 0 -2 0 2 -1 0 0 4 0 1 0 1 0 1 0 0 1] [-2 0 0 1 0 1 -3 0 0 -1 0 0 0 4 1 0 0 1 0 -1 0 -1] [ 0 -1 1 1 2 0 -2 1 2 -2 -1 2 1 1 4 0 0 1 1 -1 1 -2] [ 0 -1 0 -1 0 0 0 2 0 0 -1 -1 0 0 0 4 0 -2 1 2 -1 0] [ 0 0 -1 2 1 -1 -2 -1 0 0 1 1 1 0 0 0 4 0 0 0 1 1] [-2 1 0 2 0 1 0 -2 0 2 -2 1 0 1 1 -2 0 6 1 -4 2 0] [ 0 -1 1 1 2 0 0 1 0 1 -2 0 1 0 1 1 0 1 4 -1 0 0] [ 2 -1 0 -2 0 -1 0 2 0 -2 1 -1 0 -1 -1 2 0 -4 -1 6 -1 0] [ 0 -1 0 2 0 0 0 -1 0 0 0 1 0 0 1 -1 1 2 0 -1 4 -1] [ 1 1 0 0 0 -1 1 -1 -1 2 1 -1 1 -1 -2 0 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 546. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 1 1 1 1 -1 -2 1 1 1 0 1 0 0 -2 -2 2 1 1] [-1 4 -1 0 -2 -2 -2 -2 1 0 -2 1 -1 0 0 1 0 0 0 -2 1 -2] [ 0 -1 4 0 0 1 -1 -1 0 0 2 1 -1 -1 0 -1 1 1 -1 2 1 0] [ 2 0 0 4 1 1 0 -1 -1 -2 1 2 0 -1 2 1 1 -2 -2 1 2 -1] [ 1 -2 0 1 4 0 0 2 -2 0 2 1 2 -1 0 1 -1 -1 -1 0 1 0] [ 1 -2 1 1 0 4 2 1 -1 -1 2 -1 -1 -1 1 0 0 0 0 1 -1 0] [ 1 -2 -1 0 0 2 4 2 -1 -1 0 -2 1 1 1 0 -1 -1 0 0 -2 2] [ 1 -2 -1 -1 2 1 2 6 -1 1 2 -2 2 -1 0 1 -2 -1 0 0 -2 0] [-1 1 0 -1 -2 -1 -1 -1 4 1 -1 0 -1 0 0 0 2 1 1 0 0 1] [-2 0 0 -2 0 -1 -1 1 1 4 -1 0 0 -1 -2 0 0 2 2 0 0 -1] [ 1 -2 2 1 2 2 0 2 -1 -1 6 -1 0 -1 1 0 1 0 -1 2 -1 0] [ 1 1 1 2 1 -1 -2 -2 0 0 -1 6 -1 -1 -1 1 1 0 -1 1 3 -2] [ 1 -1 -1 0 2 -1 1 2 -1 0 0 -1 4 0 1 0 -1 -1 -1 0 1 2] [ 0 0 -1 -1 -1 -1 1 -1 0 -1 -1 -1 0 4 -1 -1 0 0 0 0 -1 2] [ 1 0 0 2 0 1 1 0 0 -2 1 -1 1 -1 4 0 0 -2 -1 0 0 1] [ 0 1 -1 1 1 0 0 1 0 0 0 1 0 -1 0 4 0 -1 -1 -2 1 -1] [ 0 0 1 1 -1 0 -1 -2 2 0 1 1 -1 0 0 0 4 1 0 2 1 1] [-2 0 1 -2 -1 0 -1 -1 1 2 0 0 -1 0 -2 -1 1 4 2 1 0 0] [-2 0 -1 -2 -1 0 0 0 1 2 -1 -1 -1 0 -1 -1 0 2 4 -1 -2 0] [ 2 -2 2 1 0 1 0 0 0 0 2 1 0 0 0 -2 2 1 -1 6 1 1] [ 1 1 1 2 1 -1 -2 -2 0 0 -1 3 1 -1 0 1 1 0 -2 1 6 -1] [ 1 -2 0 -1 0 0 2 0 1 -1 0 -2 2 2 1 -1 1 0 0 1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 547. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 1 0 -1 1 1 0 1 2 -1 2 1 -1 2 0 0 1 0 -1 -2] [ 2 4 0 0 -1 1 -1 0 1 1 2 -1 0 0 0 0 -1 -1 -1 1 -1 -2] [ 1 0 4 0 0 -2 0 0 1 0 1 -1 0 2 -1 -1 -1 0 0 0 0 0] [ 1 0 0 4 1 -1 1 2 -1 2 0 -1 2 0 0 2 -1 1 0 -1 0 1] [ 0 -1 0 1 6 -2 -2 0 2 -1 1 -1 -2 2 -2 -2 2 0 -1 0 1 0] [-1 1 -2 -1 -2 6 -2 -2 0 -1 0 -1 1 -1 2 0 -1 1 -1 -1 -1 0] [ 1 -1 0 1 -2 -2 6 1 -3 0 -2 1 3 -2 -1 3 1 1 3 -1 1 0] [ 1 0 0 2 0 -2 1 4 0 2 0 1 1 0 1 2 -1 -1 0 1 -1 0] [ 0 1 1 -1 2 0 -3 0 4 -1 1 -1 -2 2 0 -2 0 -1 -2 1 -1 -1] [ 1 1 0 2 -1 -1 0 2 -1 4 1 0 1 0 1 2 -2 0 0 0 0 0] [ 2 2 1 0 1 0 -2 0 1 1 4 -1 0 1 -1 0 -1 -1 -1 1 0 -2] [-1 -1 -1 -1 -1 -1 1 1 -1 0 -1 4 -1 -1 0 0 1 -2 1 2 0 0] [ 2 0 0 2 -2 1 3 1 -2 1 0 -1 6 -1 0 4 -1 1 1 -2 0 0] [ 1 0 2 0 2 -1 -2 0 2 0 1 -1 -1 4 -1 -1 0 0 -1 0 0 0] [-1 0 -1 0 -2 2 -1 1 0 1 -1 0 0 -1 4 0 -2 0 0 0 -2 1] [ 2 0 -1 2 -2 0 3 2 -2 2 0 0 4 -1 0 6 0 1 1 -1 0 0] [ 0 -1 -1 -1 2 -1 1 -1 0 -2 -1 1 -1 0 -2 0 4 0 1 0 1 0] [ 0 -1 0 1 0 1 1 -1 -1 0 -1 -2 1 0 0 1 0 4 1 -2 1 1] [ 1 -1 0 0 -1 -1 3 0 -2 0 -1 1 1 -1 0 1 1 1 4 -1 0 0] [ 0 1 0 -1 0 -1 -1 1 1 0 1 2 -2 0 0 -1 0 -2 -1 4 0 -1] [-1 -1 0 0 1 -1 1 -1 -1 0 0 0 0 0 -2 0 1 1 0 0 4 0] [-2 -2 0 1 0 0 0 0 -1 0 -2 0 0 0 1 0 0 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 548. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 2 -2 0 -1 1 -1 -1 2 -1 -1 0 -1 1 1 0 0 -1 -1] [ 0 4 -1 -2 -1 1 -1 -2 2 1 2 1 -2 -2 0 -2 -1 1 1 -1 -1 2] [ 1 -1 4 2 0 0 2 1 -2 -1 0 0 0 1 1 0 -1 0 -2 0 0 -2] [-1 -2 2 4 0 1 2 2 -2 0 0 -1 1 2 1 1 0 -1 -1 0 1 -2] [ 2 -1 0 0 4 -2 1 0 1 0 -1 1 1 -1 -1 0 1 1 0 1 -1 0] [-2 1 0 1 -2 4 -1 1 0 0 1 0 0 1 0 1 -1 -1 0 0 1 1] [ 0 -1 2 2 1 -1 4 0 -2 0 1 -1 1 0 1 -1 -1 1 -1 0 -1 -1] [-1 -2 1 2 0 1 0 4 -2 -1 -1 0 2 1 -1 2 1 -1 -1 0 1 0] [ 1 2 -2 -2 1 0 -2 -2 6 2 1 1 -1 -1 0 -1 -1 1 0 1 -1 0] [-1 1 -1 0 0 0 0 -1 2 4 1 -1 0 -1 0 -1 -1 1 -1 1 -1 -1] [-1 2 0 0 -1 1 1 -1 1 1 4 -1 -1 -1 0 -1 -2 1 0 -1 -1 0] [ 2 1 0 -1 1 0 -1 0 1 -1 -1 4 -1 -1 -1 0 1 1 1 -1 -1 2] [-1 -2 0 1 1 0 1 2 -1 0 -1 -1 4 1 0 1 0 -1 -1 1 1 0] [-1 -2 1 2 -1 1 0 1 -1 -1 -1 -1 1 4 1 1 0 -2 0 0 2 -2] [ 0 0 1 1 -1 0 1 -1 0 0 0 -1 0 1 4 -1 -1 0 -1 0 1 -1] [-1 -2 0 1 0 1 -1 2 -1 -1 -1 0 1 1 -1 4 1 -1 0 0 1 0] [ 1 -1 -1 0 1 -1 -1 1 -1 -1 -2 1 0 0 -1 1 4 -1 1 0 1 0] [ 1 1 0 -1 1 -1 1 -1 1 1 1 1 -1 -2 0 -1 -1 4 0 0 -2 1] [ 0 1 -2 -1 0 0 -1 -1 0 -1 0 1 -1 0 -1 0 1 0 4 -2 0 2] [ 0 -1 0 0 1 0 0 0 1 1 -1 -1 1 0 0 0 0 0 -2 4 1 -1] [-1 -1 0 1 -1 1 -1 1 -1 -1 -1 -1 1 2 1 1 1 -2 0 1 4 -1] [-1 2 -2 -2 0 1 -1 0 0 -1 0 2 0 -2 -1 0 0 1 2 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 549. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 2 2 2 -1 1 -1 -1 0 2 -1 0 -1 -1 -2 1 1 0 -2] [ 1 4 -2 -1 0 0 2 0 1 0 1 0 -1 1 0 -2 -1 -1 1 2 0 0] [-2 -2 6 -2 -1 0 -1 0 0 -1 0 -2 1 2 1 1 0 1 0 0 -1 0] [ 2 -1 -2 6 0 1 1 1 1 0 0 1 3 -1 -2 1 -1 -2 1 0 2 -1] [ 2 0 -1 0 4 0 0 -2 1 0 -1 -1 0 -1 1 -1 -1 0 1 0 -1 -1] [ 2 0 0 1 0 4 0 -1 -1 -1 -1 1 1 0 0 1 1 -1 -1 0 0 -2] [ 2 2 -1 1 0 0 4 0 2 -1 0 0 1 1 0 -2 -2 -2 2 2 1 -1] [-1 0 0 1 -2 -1 0 4 1 0 0 0 1 0 -2 0 0 -1 0 0 0 1] [ 1 1 0 1 1 -1 2 1 4 0 0 -1 1 1 0 -2 -2 -2 2 1 0 -1] [-1 0 -1 0 0 -1 -1 0 0 4 1 1 0 0 1 0 -1 1 0 0 0 0] [-1 1 0 0 -1 -1 0 0 0 1 4 -1 0 1 0 0 0 1 1 0 1 1] [ 0 0 -2 1 -1 1 0 0 -1 1 -1 4 0 -1 -1 0 1 0 -1 -1 0 -1] [ 2 -1 1 3 0 1 1 1 1 0 0 0 6 -1 0 0 -1 -2 2 1 0 -1] [-1 1 2 -1 -1 0 1 0 1 0 1 -1 -1 4 0 0 -1 0 0 1 1 0] [ 0 0 1 -2 1 0 0 -2 0 1 0 -1 0 0 4 -1 -1 0 1 1 -1 0] [-1 -2 1 1 -1 1 -2 0 -2 0 0 0 0 0 -1 4 2 1 -2 -1 1 1] [-1 -1 0 -1 -1 1 -2 0 -2 -1 0 1 -1 -1 -1 2 4 1 -2 -2 0 1] [-2 -1 1 -2 0 -1 -2 -1 -2 1 1 0 -2 0 0 1 1 4 -1 -1 0 1] [ 1 1 0 1 1 -1 2 0 2 0 1 -1 2 0 1 -2 -2 -1 4 1 0 0] [ 1 2 0 0 0 0 2 0 1 0 0 -1 1 1 1 -1 -2 -1 1 4 1 0] [ 0 0 -1 2 -1 0 1 0 0 0 1 0 0 1 -1 1 0 0 0 1 4 0] [-2 0 0 -1 -1 -2 -1 1 -1 0 1 -1 -1 0 0 1 1 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 550. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 0 -1 -1 -2 2 -1 -2 -1 -1 1 0 0 1 1 -2 1 -1 -1] [-2 4 1 1 -1 0 1 0 -2 1 2 0 2 0 1 -1 -1 1 1 1 0 0] [ 0 1 4 2 0 0 2 0 -2 -1 2 1 0 1 -1 -1 1 0 0 1 0 1] [ 0 1 2 4 0 1 2 -1 -2 -1 2 -1 -1 0 0 -2 -1 1 0 0 -1 1] [ 0 -1 0 0 4 -1 0 0 1 -1 1 0 0 1 -1 0 -1 1 -1 -2 1 -1] [-1 0 0 1 -1 4 0 1 -1 -1 0 1 -1 -2 1 0 1 -1 1 0 -1 1] [-1 1 2 2 0 0 4 1 -1 -1 1 0 -1 0 0 -2 -1 0 1 0 1 1] [-2 0 0 -1 0 1 1 4 -1 0 1 2 0 0 0 0 0 -2 2 0 1 0] [ 2 -2 -2 -2 1 -1 -1 -1 6 0 -4 -1 -1 0 1 2 1 0 -1 0 1 -1] [-1 1 -1 -1 -1 -1 -1 0 0 4 -1 0 1 1 1 1 0 0 1 0 1 -1] [-2 2 2 2 1 0 1 1 -4 -1 6 1 1 0 -2 -1 -2 0 0 0 0 0] [-1 0 1 -1 0 1 0 2 -1 0 1 4 0 0 -1 1 1 -2 0 0 1 0] [-1 2 0 -1 0 -1 -1 0 -1 1 1 0 4 0 1 0 0 0 1 1 0 0] [ 1 0 1 0 1 -2 0 0 0 1 0 0 0 4 -1 0 0 1 -1 0 1 -1] [ 0 1 -1 0 -1 1 0 0 1 1 -2 -1 1 -1 4 -1 0 0 2 1 -1 0] [ 0 -1 -1 -2 0 0 -2 0 2 1 -1 1 0 0 -1 4 2 -1 -1 0 1 0] [ 1 -1 1 -1 -1 1 -1 0 1 0 -2 1 0 0 0 2 4 -1 0 1 0 1] [ 1 1 0 1 1 -1 0 -2 0 0 0 -2 0 1 0 -1 -1 4 -1 0 0 -1] [-2 1 0 0 -1 1 1 2 -1 1 0 0 1 -1 2 -1 0 -1 4 0 0 1] [ 1 1 1 0 -2 0 0 0 0 0 0 0 1 0 1 0 1 0 0 4 0 0] [-1 0 0 -1 1 -1 1 1 1 1 0 1 0 1 -1 1 0 0 0 0 4 -1] [-1 0 1 1 -1 1 1 0 -1 -1 0 0 0 -1 0 0 1 -1 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 551. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 -2 2 -2 1 -2 -1 0 1 2 1 -1 -1 1 2 1 -2 -1 1] [-1 4 2 -1 1 -1 2 -2 2 1 0 1 -1 -1 1 0 -2 -2 1 2 2 1] [-2 2 4 1 2 -1 2 -2 2 2 0 1 -2 -2 1 1 -1 -2 0 2 0 -1] [-1 -1 1 4 2 -1 1 -1 -1 1 0 0 -2 0 -1 2 1 -1 0 -1 0 -2] [-2 1 2 2 4 -2 2 -2 1 2 0 0 -1 0 1 1 -1 -2 0 1 0 -1] [ 2 -1 -1 -1 -2 4 -2 1 -2 -2 1 1 2 0 0 0 1 2 0 -2 0 1] [-2 2 2 1 2 -2 4 -2 2 2 -1 1 -2 -1 1 1 -2 -2 1 2 1 0] [ 1 -2 -2 -1 -2 1 -2 4 0 -1 0 -1 2 1 -1 0 2 1 -1 0 0 1] [-2 2 2 -1 1 -2 2 0 6 3 -2 0 0 -1 1 -1 -1 -2 0 4 0 1] [-1 1 2 1 2 -2 2 -1 3 6 0 1 0 1 -1 1 -1 -2 -1 2 1 0] [ 0 0 0 0 0 1 -1 0 -2 0 4 1 0 1 -1 1 1 0 0 -2 2 0] [ 1 1 1 0 0 1 1 -1 0 1 1 4 -1 0 -1 0 0 0 1 -1 0 0] [ 2 -1 -2 -2 -1 2 -2 2 0 0 0 -1 6 2 0 -1 1 2 0 -1 0 2] [ 1 -1 -2 0 0 0 -1 1 -1 1 1 0 2 4 -1 0 1 0 0 -1 1 1] [-1 1 1 -1 1 0 1 -1 1 -1 -1 -1 0 -1 4 -1 -2 -1 1 2 -1 1] [-1 0 1 2 1 0 1 0 -1 1 1 0 -1 0 -1 4 1 -1 -1 0 2 0] [ 1 -2 -1 1 -1 1 -2 2 -1 -1 1 0 1 1 -2 1 4 1 0 -2 0 0] [ 2 -2 -2 -1 -2 2 -2 1 -2 -2 0 0 2 0 -1 -1 1 4 0 -2 -1 0] [ 1 1 0 0 0 0 1 -1 0 -1 0 1 0 0 1 -1 0 0 4 -1 0 1] [-2 2 2 -1 1 -2 2 0 4 2 -2 -1 -1 -1 2 0 -2 -2 -1 6 1 1] [-1 2 0 0 0 0 1 0 0 1 2 0 0 1 -1 2 0 -1 0 1 6 1] [ 1 1 -1 -2 -1 1 0 1 1 0 0 0 2 1 1 0 0 0 1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 552. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 -2 1 0 1 -1 1 -1 -1 1 2 -2 0 -2 -2 0] [ 0 4 -1 -1 1 2 2 -1 -2 0 1 1 1 2 -1 1 0 0 1 1 2 1] [ 1 -1 4 0 0 0 1 -1 2 1 1 -1 1 0 -1 1 -1 -1 1 0 -2 -1] [ 2 -1 0 4 -2 -1 0 0 2 -1 -1 0 0 -1 0 -1 1 -1 -1 -2 -1 1] [-2 1 0 -2 4 2 1 0 -2 0 0 0 -1 1 1 0 -2 2 1 2 1 0] [-1 2 0 -1 2 4 2 0 -1 0 0 0 1 2 -1 0 -1 1 2 1 2 0] [ 1 2 1 0 1 2 4 -2 -1 1 1 0 1 2 -1 0 0 -1 1 0 1 0] [-2 -1 -1 0 0 0 -2 4 1 0 -1 1 -1 -1 0 -1 0 2 0 0 1 0] [ 1 -2 2 2 -2 -1 -1 1 6 -1 -1 0 1 -1 -1 0 1 -1 0 -1 -3 1] [ 0 0 1 -1 0 0 1 0 -1 4 0 -1 1 0 -1 0 0 -1 1 0 0 -1] [ 1 1 1 -1 0 0 1 -1 -1 0 4 1 1 0 -1 2 1 0 1 -1 1 0] [-1 1 -1 0 0 0 0 1 0 -1 1 4 0 0 -1 1 0 1 -1 0 2 2] [ 1 1 1 0 -1 1 1 -1 1 1 1 0 4 0 -1 1 1 -2 2 0 0 1] [-1 2 0 -1 1 2 2 -1 -1 0 0 0 0 4 -1 0 -1 0 0 1 2 0] [-1 -1 -1 0 1 -1 -1 0 -1 -1 -1 -1 -1 -1 4 -2 -1 0 0 1 -1 0] [ 1 1 1 -1 0 0 0 -1 0 0 2 1 1 0 -2 4 1 0 0 0 0 1] [ 2 0 -1 1 -2 -1 0 0 1 0 1 0 1 -1 -1 1 4 -1 0 -2 0 1] [-2 0 -1 -1 2 1 -1 2 -1 -1 0 1 -2 0 0 0 -1 4 0 1 2 0] [ 0 1 1 -1 1 2 1 0 0 1 1 -1 2 0 0 0 0 0 4 0 0 0] [-2 1 0 -2 2 1 0 0 -1 0 -1 0 0 1 1 0 -2 1 0 4 1 0] [-2 2 -2 -1 1 2 1 1 -3 0 1 2 0 2 -1 0 0 2 0 1 6 0] [ 0 1 -1 1 0 0 0 0 1 -1 0 2 1 0 0 1 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 553. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 2 2 -2 -1 1 -2 -2 0 1 2 1 -1 -2 -1 -2 2 2 1 2] [-1 4 0 0 0 2 2 0 1 1 -1 1 -2 1 0 -1 -1 1 -1 0 1 -2] [ 2 0 4 2 2 -2 1 2 -2 -2 -1 1 1 1 -1 -2 -2 -2 2 2 0 1] [ 2 0 2 4 2 -1 -1 1 -2 0 0 1 0 0 -1 -2 -1 -1 1 1 1 2] [ 2 0 2 2 4 -2 1 1 -2 -2 0 2 1 1 -2 -2 -2 -2 2 2 0 0] [-2 2 -2 -1 -2 4 0 -1 2 2 0 0 -2 0 1 1 1 2 -2 -1 0 -2] [-1 2 1 -1 1 0 6 -1 0 0 0 0 1 2 -2 0 -1 -1 -1 0 -1 -1] [ 1 0 2 1 1 -1 -1 4 -1 -1 -2 2 -1 -1 1 -1 -1 -1 1 1 0 -1] [-2 1 -2 -2 -2 2 0 -1 4 2 0 -1 -1 -1 1 1 0 2 -1 -1 -1 -1] [-2 1 -2 0 -2 2 0 -1 2 6 -1 -1 -3 -1 1 1 2 3 -2 -2 -1 0] [ 0 -1 -1 0 0 0 0 -2 0 -1 4 -1 2 0 0 0 1 -1 0 -1 0 2] [ 1 1 1 1 2 0 0 2 -1 -1 -1 4 0 1 -1 -2 -1 -1 1 1 1 -2] [ 2 -2 1 0 1 -2 1 -1 -1 -3 2 0 6 2 -2 -1 0 -2 2 0 0 2] [ 1 1 1 0 1 0 2 -1 -1 -1 0 1 2 4 -2 -1 0 -1 1 1 1 0] [-1 0 -1 -1 -2 1 -2 1 1 1 0 -1 -2 -2 4 1 1 1 -1 -1 0 0] [-2 -1 -2 -2 -2 1 0 -1 1 1 0 -2 -1 -1 1 4 2 1 -2 -1 -1 0] [-1 -1 -2 -1 -2 1 -1 -1 0 2 1 -1 0 0 1 2 4 1 -1 -2 0 1] [-2 1 -2 -1 -2 2 -1 -1 2 3 -1 -1 -2 -1 1 1 1 4 -1 -1 0 -1] [ 2 -1 2 1 2 -2 -1 1 -1 -2 0 1 2 1 -1 -2 -1 -1 4 1 0 1] [ 2 0 2 1 2 -1 0 1 -1 -2 -1 1 0 1 -1 -1 -2 -1 1 4 1 0] [ 1 1 0 1 0 0 -1 0 -1 -1 0 1 0 1 0 -1 0 0 0 1 4 0] [ 2 -2 1 2 0 -2 -1 -1 -1 0 2 -2 2 0 0 0 1 -1 1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 554. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 -1 2 -1 0 1 1 2 1 -1 -1 -1 -1 1 1 -1 2] [ 1 4 0 0 0 0 0 2 0 1 2 0 -1 0 -1 0 -1 0 2 2 1 1] [-1 0 4 0 0 0 1 0 1 1 1 0 1 0 -1 -1 2 0 1 1 1 0] [-1 0 0 4 0 -2 2 -1 2 -1 0 -2 -2 1 0 -1 -1 2 -1 0 1 0] [ 1 0 0 0 4 -1 -1 -1 -1 -1 0 -1 2 2 -1 0 1 1 -1 0 0 1] [ 1 0 0 -2 -1 4 -2 2 -1 0 0 1 2 -1 1 0 0 -2 1 0 -1 1] [-1 0 1 2 -1 -2 4 -1 2 0 1 0 -2 0 0 0 -1 1 0 1 0 -1] [ 2 2 0 -1 -1 2 -1 4 -1 1 1 1 1 0 -1 0 -1 -2 2 1 0 2] [-1 0 1 2 -1 -1 2 -1 4 0 1 0 -2 0 0 0 -1 2 0 1 0 -1] [ 0 1 1 -1 -1 0 0 1 0 4 0 0 0 0 -1 0 1 0 2 0 1 0] [ 1 2 1 0 0 0 1 1 1 0 4 0 0 -1 0 0 -1 0 1 2 0 1] [ 1 0 0 -2 -1 1 0 1 0 0 0 4 1 -1 -1 0 0 -1 1 0 -2 -1] [ 2 -1 1 -2 2 2 -2 1 -2 0 0 1 6 0 0 -1 2 -2 1 0 -1 2] [ 1 0 0 1 2 -1 0 0 0 0 -1 -1 0 4 -2 0 0 1 -1 0 1 1] [-1 -1 -1 0 -1 1 0 -1 0 -1 0 -1 0 -2 4 0 -1 -1 0 0 -1 0] [-1 0 -1 -1 0 0 0 0 0 0 0 0 -1 0 0 4 0 0 -1 0 0 0] [-1 -1 2 -1 1 0 -1 -1 -1 1 -1 0 2 0 -1 0 4 0 0 -1 1 0] [-1 0 0 2 1 -2 1 -2 2 0 0 -1 -2 1 -1 0 0 4 -1 0 1 -1] [ 1 2 1 -1 -1 1 0 2 0 2 1 1 1 -1 0 -1 0 -1 4 1 0 1] [ 1 2 1 0 0 0 1 1 1 0 2 0 0 0 0 0 -1 0 1 4 1 1] [-1 1 1 1 0 -1 0 0 0 1 0 -2 -1 1 -1 0 1 1 0 1 4 0] [ 2 1 0 0 1 1 -1 2 -1 0 1 -1 2 1 0 0 0 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 555. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 0 -1 1 -2 0 -2 0 -1 -2 1 -1 1 2 1 2 0 1] [ 2 4 -2 1 -1 0 0 0 0 1 -2 -1 0 -2 0 -1 1 2 -1 0 -1 2] [-1 -2 6 -3 2 -1 -2 -2 0 -3 2 0 -2 0 -2 1 1 -2 -1 1 1 0] [ 2 1 -3 6 -1 2 1 1 0 3 -1 0 1 0 1 -2 1 1 2 1 1 0] [ 0 -1 2 -1 4 -1 0 -1 1 0 0 0 0 0 1 1 1 0 0 0 0 0] [ 0 0 -1 2 -1 4 1 -1 0 2 1 -1 0 -1 1 0 -1 0 1 0 -1 0] [-1 0 -2 1 0 1 4 1 2 3 -1 -1 2 1 1 1 -1 0 1 -1 -1 -1] [ 1 0 -2 1 -1 -1 1 4 -1 1 -1 1 1 1 0 0 -1 0 1 1 0 -1] [-2 0 0 0 1 0 2 -1 4 2 0 -1 1 1 0 1 0 0 -1 -2 0 0] [ 0 1 -3 3 0 2 3 1 2 6 -1 0 2 0 2 1 -1 1 1 -1 0 -1] [-2 -2 2 -1 0 1 -1 -1 0 -1 4 1 0 1 -1 0 0 -2 0 0 0 -1] [ 0 -1 0 0 0 -1 -1 1 -1 0 1 4 1 1 0 -1 1 -1 1 1 1 -2] [-1 0 -2 1 0 0 2 1 1 2 0 1 4 1 0 0 0 -1 0 -1 0 -1] [-2 -2 0 0 0 -1 1 1 1 0 1 1 1 4 0 0 0 -2 1 0 1 -1] [ 1 0 -2 1 1 1 1 0 0 2 -1 0 0 0 4 0 -1 1 2 0 -1 0] [-1 -1 1 -2 1 0 1 0 1 1 0 -1 0 0 0 4 -1 0 -1 -1 0 0] [ 1 1 1 1 1 -1 -1 -1 0 -1 0 1 0 0 -1 -1 4 0 0 1 1 1] [ 2 2 -2 1 0 0 0 0 0 1 -2 -1 -1 -2 1 0 0 4 0 0 0 1] [ 1 -1 -1 2 0 1 1 1 -1 1 0 1 0 1 2 -1 0 0 4 1 0 -1] [ 2 0 1 1 0 0 -1 1 -2 -1 0 1 -1 0 0 -1 1 0 1 4 1 0] [ 0 -1 1 1 0 -1 -1 0 0 0 0 1 0 1 -1 0 1 0 0 1 4 -1] [ 1 2 0 0 0 0 -1 -1 0 -1 -1 -2 -1 -1 0 0 1 1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 556. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 2 -1 1 0 0 -2 0 0 1 -1 0 2 2 0 -2 -1 1] [-2 4 -2 2 2 -1 1 -1 0 1 2 0 1 -1 0 -1 -1 -2 0 2 0 0] [ 2 -2 4 -2 -1 0 -1 0 0 -1 -2 1 0 1 0 1 1 2 -1 -2 1 1] [-2 2 -2 4 2 -1 2 -1 1 0 2 -1 -1 -1 1 -1 -2 -2 1 2 -1 0] [-2 2 -1 2 4 -2 2 -1 0 0 2 -1 1 0 0 -1 -2 -2 0 2 0 -1] [ 2 -1 0 -1 -2 4 -1 2 0 0 0 0 0 1 -1 0 1 1 1 0 -1 1] [-1 1 -1 2 2 -1 4 -1 0 1 0 -2 0 0 -1 0 -1 -2 1 0 -1 -1] [ 1 -1 0 -1 -1 2 -1 4 0 -1 1 -1 -1 2 -1 -1 0 1 1 1 0 0] [ 0 0 0 1 0 0 0 0 4 0 2 0 -1 0 0 -2 -2 1 2 2 0 2] [ 0 1 -1 0 0 0 1 -1 0 4 -1 -1 1 0 -1 0 1 0 1 -1 0 0] [-2 2 -2 2 2 0 0 1 2 -1 6 -1 0 -1 1 -2 -3 -1 1 4 0 1] [ 0 0 1 -1 -1 0 -2 -1 0 -1 -1 4 1 -1 0 0 1 1 -1 -1 0 0] [ 0 1 0 -1 1 0 0 -1 -1 1 0 1 4 -1 0 0 1 -1 0 0 0 0] [ 1 -1 1 -1 0 1 0 2 0 0 -1 -1 -1 4 -2 0 0 1 0 0 1 0] [-1 0 0 1 0 -1 -1 -1 0 -1 1 0 0 -2 4 0 -1 -1 0 1 0 1] [ 0 -1 1 -1 -1 0 0 -1 -2 0 -2 0 0 0 0 4 2 0 -2 -2 1 0] [ 2 -1 1 -2 -2 1 -1 0 -2 1 -3 1 1 0 -1 2 4 1 -1 -3 0 0] [ 2 -2 2 -2 -2 1 -2 1 1 0 -1 1 -1 1 -1 0 1 4 0 -1 1 1] [ 0 0 -1 1 0 1 1 1 2 1 1 -1 0 0 0 -2 -1 0 4 1 -1 1] [-2 2 -2 2 2 0 0 1 2 -1 4 -1 0 0 1 -2 -3 -1 1 6 1 1] [-1 0 1 -1 0 -1 -1 0 0 0 0 0 0 1 0 1 0 1 -1 1 4 0] [ 1 0 1 0 -1 1 -1 0 2 0 1 0 0 0 1 0 0 1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 557. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 0 -1 -1 1 0 0 1 -1 0 -1 -1 0 2 0 1 -2 -1 0] [ 2 4 -2 -2 -1 -1 -1 0 -1 -1 0 0 -1 -1 -2 -1 1 0 0 -2 0 1] [-2 -2 4 2 1 1 2 -1 0 1 -1 0 1 1 2 1 -2 0 -1 2 0 0] [-2 -2 2 4 1 0 1 0 1 1 0 0 1 1 1 0 -1 -1 0 2 -1 -1] [ 0 -1 1 1 4 -1 -1 -1 2 2 1 1 0 -1 1 2 0 1 1 -1 -1 1] [-1 -1 1 0 -1 4 2 0 0 0 -1 0 1 2 1 -1 -2 0 -1 2 0 0] [-1 -1 2 1 -1 2 4 1 0 -1 -2 0 2 2 1 -1 -1 0 -2 1 0 0] [ 1 0 -1 0 -1 0 1 4 -1 -1 0 0 1 1 -1 -1 2 0 0 -1 -1 0] [ 0 -1 0 1 2 0 0 -1 4 1 1 0 1 0 1 0 0 1 1 -1 -1 0] [ 0 -1 1 1 2 0 -1 -1 1 4 2 1 -1 0 0 1 -1 -1 1 0 -1 1] [ 1 0 -1 0 1 -1 -2 0 1 2 4 1 0 0 0 1 0 -1 1 -1 0 1] [-1 0 0 0 1 0 0 0 0 1 1 4 -1 0 0 1 -1 -1 -1 -1 1 2] [ 0 -1 1 1 0 1 2 1 1 -1 0 -1 4 1 1 -1 0 0 0 0 -1 0] [-1 -1 1 1 -1 2 2 1 0 0 0 0 1 4 0 -1 -1 0 -2 2 0 0] [-1 -2 2 1 1 1 1 -1 1 0 0 0 1 0 4 1 -1 1 -1 2 0 -1] [ 0 -1 1 0 2 -1 -1 -1 0 1 1 1 -1 -1 1 4 0 0 0 0 1 1] [ 2 1 -2 -1 0 -2 -1 2 0 -1 0 -1 0 -1 -1 0 4 1 1 -2 -1 0] [ 0 0 0 -1 1 0 0 0 1 -1 -1 -1 0 0 1 0 1 4 0 0 0 0] [ 1 0 -1 0 1 -1 -2 0 1 1 1 -1 0 -2 -1 0 1 0 4 -2 -1 0] [-2 -2 2 2 -1 2 1 -1 -1 0 -1 -1 0 2 2 0 -2 0 -2 6 1 -2] [-1 0 0 -1 -1 0 0 -1 -1 -1 0 1 -1 0 0 1 -1 0 -1 1 4 0] [ 0 1 0 -1 1 0 0 0 0 1 1 2 0 0 -1 1 0 0 0 -2 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 558. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 0 -1 0 2 -1 0 -2 -1 0 0 2 -1 -1 -1 0 1 -1 1] [ 2 4 2 2 1 0 0 2 -2 1 -1 0 -1 1 2 -1 1 -2 0 2 -1 0] [ 2 2 4 0 0 -1 0 0 0 0 -2 -1 -1 0 0 -1 0 0 -1 0 0 0] [ 2 2 0 4 1 -1 1 2 -1 0 -1 1 0 0 3 -1 0 -2 1 2 -2 1] [ 0 1 0 1 4 0 2 1 1 0 0 2 -1 0 2 1 0 -1 1 1 0 -1] [-1 0 -1 -1 0 4 1 -1 -2 2 1 -1 0 1 -1 -1 -1 0 1 0 0 -1] [ 0 0 0 1 2 1 4 0 1 0 -1 1 0 -1 1 0 -1 0 2 0 0 0] [ 2 2 0 2 1 -1 0 4 -1 0 -1 0 0 0 3 1 0 -2 0 2 0 1] [-1 -2 0 -1 1 -2 1 -1 6 -3 0 2 1 -1 -1 1 1 2 0 -2 0 1] [ 0 1 0 0 0 2 0 0 -3 4 1 -1 -1 0 1 -1 0 0 1 0 0 -1] [-2 -1 -2 -1 0 1 -1 -1 0 1 4 0 0 1 0 0 1 0 1 0 0 0] [-1 0 -1 1 2 -1 1 0 2 -1 0 4 0 -1 1 1 1 0 0 0 0 0] [ 0 -1 -1 0 -1 0 0 0 1 -1 0 0 4 1 -1 0 -1 0 -1 -1 0 2] [ 0 1 0 0 0 1 -1 0 -1 0 1 -1 1 4 -1 -1 0 -2 0 1 -1 0] [ 2 2 0 3 2 -1 1 3 -1 1 0 1 -1 -1 6 1 1 -2 1 2 0 0] [-1 -1 -1 -1 1 -1 0 1 1 -1 0 1 0 -1 1 4 1 0 -1 0 2 0] [-1 1 0 0 0 -1 -1 0 1 0 1 1 -1 0 1 1 4 0 0 0 0 0] [-1 -2 0 -2 -1 0 0 -2 2 0 0 0 0 -2 -2 0 0 4 0 -2 1 0] [ 0 0 -1 1 1 1 2 0 0 1 1 0 -1 0 1 -1 0 0 4 0 -1 0] [ 1 2 0 2 1 0 0 2 -2 0 0 0 -1 1 2 0 0 -2 0 4 0 0] [-1 -1 0 -2 0 0 0 0 0 0 0 0 0 -1 0 2 0 1 -1 0 4 -1] [ 1 0 0 1 -1 -1 0 1 1 -1 0 0 2 0 0 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 559. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 0 1 -2 -1 -1 1 0 -2 2 -2 0 -2 2 1 1 -2 -2 1] [-2 4 1 1 1 -1 1 -1 1 -1 0 2 -2 1 1 0 -1 0 -2 2 2 0] [-2 1 4 1 1 -1 2 0 2 0 1 1 0 0 0 0 0 1 -1 1 0 -2] [ 0 1 1 4 0 1 1 -1 0 -1 -1 1 1 -1 -1 -2 0 2 -2 1 -1 1] [ 0 1 1 0 4 -1 1 -2 1 1 1 1 1 -1 2 -2 0 1 -1 1 -1 0] [ 1 -1 -1 1 -1 4 -1 0 -1 0 -2 0 2 0 0 -2 -1 1 0 0 -2 0] [-2 1 2 1 1 -1 4 1 2 -1 0 1 0 1 0 1 -1 1 -2 1 0 -1] [-1 -1 0 -1 -2 0 1 4 1 0 0 -1 0 1 -1 3 0 0 0 -1 0 -1] [-1 1 2 0 1 -1 2 1 4 0 1 0 1 1 1 0 0 1 -1 0 -1 -2] [ 1 -1 0 -1 1 0 -1 0 0 4 0 -1 2 -1 0 -1 2 1 1 -1 -2 0] [ 0 0 1 -1 1 -2 0 0 1 0 4 -1 0 -1 0 0 1 0 1 -1 0 -1] [-2 2 1 1 1 0 1 -1 0 -1 -1 4 -2 1 0 0 -2 0 -2 2 1 0] [ 2 -2 0 1 1 2 0 0 1 2 0 -2 6 -2 0 -3 1 2 0 -1 -4 0] [-2 1 0 -1 -1 0 1 1 1 -1 -1 1 -2 4 0 2 -2 -1 0 1 2 -1] [ 0 1 0 -1 2 0 0 -1 1 0 0 0 0 0 4 -1 0 0 0 0 0 0] [-2 0 0 -2 -2 -2 1 3 0 -1 0 0 -3 2 -1 6 0 -2 0 0 3 0] [ 2 -1 0 0 0 -1 -1 0 0 2 1 -2 1 -2 0 0 4 1 1 -2 -1 1] [ 1 0 1 2 1 1 1 0 1 1 0 0 2 -1 0 -2 1 4 -1 0 -2 0] [ 1 -2 -1 -2 -1 0 -2 0 -1 1 1 -2 0 0 0 0 1 -1 4 -2 0 0] [-2 2 1 1 1 0 1 -1 0 -1 -1 2 -1 1 0 0 -2 0 -2 4 2 0] [-2 2 0 -1 -1 -2 0 0 -1 -2 0 1 -4 2 0 3 -1 -2 0 2 6 0] [ 1 0 -2 1 0 0 -1 -1 -2 0 -1 0 0 -1 0 0 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 560. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 2 0 0 0 2 1 1 -1 0 -1 -1 2 -1 2 -1 0 2 1 0 1] [ 0 4 1 1 -1 -2 -1 -1 -1 1 2 -2 1 -1 -1 2 1 0 0 -1 1 -1] [ 2 1 6 -2 2 1 3 2 -1 2 0 -3 -2 3 -2 3 2 -2 0 2 0 1] [ 0 1 -2 4 -2 -1 0 -1 1 0 0 1 1 -1 1 1 -1 2 0 0 1 0] [ 0 -1 2 -2 4 2 2 0 -1 0 -1 -1 0 0 -1 0 0 -2 0 0 0 1] [ 0 -2 1 -1 2 4 1 0 1 0 -2 1 0 0 1 0 0 -1 0 0 0 2] [ 2 -1 3 0 2 1 6 1 0 0 -1 0 -1 3 -1 1 1 0 1 3 1 2] [ 1 -1 2 -1 0 0 1 4 1 1 0 -1 -2 3 -1 1 1 0 -1 1 0 0] [ 1 -1 -1 1 -1 1 0 1 4 0 0 2 0 0 1 1 -1 1 1 -1 1 1] [-1 1 2 0 0 0 0 1 0 4 0 -1 0 0 -1 1 2 0 -1 1 1 -1] [ 0 2 0 0 -1 -2 -1 0 0 0 4 0 0 0 -1 0 0 -1 0 0 1 0] [-1 -2 -3 1 -1 1 0 -1 2 -1 0 6 1 0 1 -3 -1 1 0 -1 0 1] [-1 1 -2 1 0 0 -1 -2 0 0 0 1 4 -3 1 -1 0 0 1 -1 1 0] [ 2 -1 3 -1 0 0 3 3 0 0 0 0 -3 6 -2 1 1 0 -1 2 0 1] [-1 -1 -2 1 -1 1 -1 -1 1 -1 -1 1 1 -2 4 -1 -1 0 1 0 -1 1] [ 2 2 3 1 0 0 1 1 1 1 0 -3 -1 1 -1 6 1 0 0 0 1 1] [-1 1 2 -1 0 0 1 1 -1 2 0 -1 0 1 -1 1 4 0 -1 1 1 0] [ 0 0 -2 2 -2 -1 0 0 1 0 -1 1 0 0 0 0 0 4 0 0 1 -1] [ 2 0 0 0 0 0 1 -1 1 -1 0 0 1 -1 1 0 -1 0 4 0 0 1] [ 1 -1 2 0 0 0 3 1 -1 1 0 -1 -1 2 0 0 1 0 0 6 1 1] [ 0 1 0 1 0 0 1 0 1 1 1 0 1 0 -1 1 1 1 0 1 4 0] [ 1 -1 1 0 1 2 2 0 1 -1 0 1 0 1 1 1 0 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 561. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 0 0 -1 -1 2 -1 0 -1 0 -1 -2 -1 -1 0 1 0 1] [ 1 6 -3 1 1 -1 -2 -3 1 1 2 -2 -1 -2 0 2 1 0 2 0 2 3] [-1 -3 6 -2 -2 0 2 2 -2 1 1 3 2 1 -2 1 -1 1 -3 -1 -2 0] [-1 1 -2 4 0 -1 0 0 1 -2 -1 -1 -1 0 2 0 2 1 1 -1 0 0] [ 2 1 -2 0 4 1 -1 -1 0 0 -2 -1 0 0 0 0 -1 0 0 0 0 1] [ 0 -1 0 -1 1 4 0 1 -1 -1 -2 0 2 -1 -1 1 -2 1 0 -1 0 1] [ 0 -2 2 0 -1 0 4 1 0 0 -1 2 1 2 0 -1 1 1 0 -1 -2 -1] [-1 -3 2 0 -1 1 1 4 0 -1 -2 2 1 0 0 0 -1 1 -1 -1 -1 0] [-1 1 -2 1 0 -1 0 0 4 -1 0 0 0 1 2 1 1 -1 2 1 0 -1] [ 2 1 1 -2 0 -1 0 -1 -1 4 2 0 -1 0 -1 0 -1 -1 0 1 0 1] [-1 2 1 -1 -2 -2 -1 -2 0 2 6 -1 0 -1 0 2 1 -1 0 1 0 1] [ 0 -2 3 -1 -1 0 2 2 0 0 -1 4 1 1 -1 0 0 0 -1 0 -1 0] [-1 -1 2 -1 0 2 1 1 0 -1 0 1 4 0 -1 2 -1 1 -1 -1 -1 1] [ 0 -2 1 0 0 -1 2 0 1 0 -1 1 0 4 1 -1 0 0 0 0 -1 -3] [-1 0 -2 2 0 -1 0 0 2 -1 0 -1 -1 1 4 0 1 -1 1 0 0 -1] [-2 2 1 0 0 1 -1 0 1 0 2 0 2 -1 0 6 0 1 0 -1 0 3] [-1 1 -1 2 -1 -2 1 -1 1 -1 1 0 -1 0 1 0 4 0 1 0 0 0] [-1 0 1 1 0 1 1 1 -1 -1 -1 0 1 0 -1 1 0 4 0 -2 0 1] [ 0 2 -3 1 0 0 0 -1 2 0 0 -1 -1 0 1 0 1 0 4 0 1 0] [ 1 0 -1 -1 0 -1 -1 -1 1 1 1 0 -1 0 0 -1 0 -2 0 4 1 -1] [ 0 2 -2 0 0 0 -2 -1 0 0 0 -1 -1 -1 0 0 0 0 1 1 4 0] [ 1 3 0 0 1 1 -1 0 -1 1 1 0 1 -3 -1 3 0 1 0 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 562. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 2 -2 -1 -2 2 -2 1 -1 -1 -1 -2 0 0 2 -2 2 1 -2 0] [-2 4 1 -1 2 1 2 -1 0 -2 1 1 2 2 -1 0 -1 0 -2 1 2 -1] [ 0 1 4 -1 1 2 1 1 1 -1 1 2 1 -1 0 1 0 -1 -2 2 -1 1] [ 2 -1 -1 4 -1 -2 0 0 -2 2 0 -2 -2 -2 -1 -1 0 -2 1 0 0 0] [-2 2 1 -1 4 2 2 -2 0 -2 0 1 0 2 -1 0 -2 0 -2 0 1 0] [-1 1 2 -2 2 4 1 -1 0 -1 0 2 0 1 1 0 -1 0 -1 0 -1 0] [-2 2 1 0 2 1 4 -2 0 -1 0 0 0 1 0 0 -2 0 -1 1 2 0] [ 2 -1 1 0 -2 -1 -2 4 0 1 1 1 1 -2 0 1 2 -1 1 1 -2 0] [-2 0 1 -2 0 0 0 0 6 1 1 0 0 -1 0 0 -1 2 0 1 -1 0] [ 1 -2 -1 2 -2 -1 -1 1 1 6 1 -2 -3 -2 1 -2 1 0 3 -1 -3 0] [-1 1 1 0 0 0 0 1 1 1 4 0 0 0 -1 -1 0 0 -1 1 -1 1] [-1 1 2 -2 1 2 0 1 0 -2 0 6 1 -1 -1 3 0 0 -3 1 0 1] [-1 2 1 -2 0 0 0 1 0 -3 0 1 6 2 0 1 1 1 -1 -1 2 -1] [-2 2 -1 -2 2 1 1 -2 -1 -2 0 -1 2 6 1 -1 0 1 0 -1 2 0] [ 0 -1 0 -1 -1 1 0 0 0 1 -1 -1 0 1 4 -1 0 0 2 -1 -1 0] [ 0 0 1 -1 0 0 0 1 0 -2 -1 3 1 -1 -1 4 1 0 -2 1 1 1] [ 2 -1 0 0 -2 -1 -2 2 -1 1 0 0 1 0 0 1 4 0 1 0 -1 1] [-2 0 -1 -2 0 0 0 -1 2 0 0 0 1 1 0 0 0 4 0 -1 1 0] [ 2 -2 -2 1 -2 -1 -1 1 0 3 -1 -3 -1 0 2 -2 1 0 6 -1 -2 -1] [ 1 1 2 0 0 0 1 1 1 -1 1 1 -1 -1 -1 1 0 -1 -1 6 0 1] [-2 2 -1 0 1 -1 2 -2 -1 -3 -1 0 2 2 -1 1 -1 1 -2 0 6 -1] [ 0 -1 1 0 0 0 0 0 0 0 1 1 -1 0 0 1 1 0 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 563. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 0 -2 1 -1 0 1 1 -1 2 0 1 0 0 -1 -1 -1] [ 2 4 -2 -1 -1 0 -1 0 -1 0 -1 0 1 -1 0 1 1 -1 -1 -1 0 0] [-2 -2 4 1 2 -1 0 0 1 0 1 -1 -1 1 0 0 -1 0 1 1 0 0] [ 0 -1 1 4 2 1 0 0 2 1 -1 -1 1 2 2 1 1 -1 2 2 -1 1] [-1 -1 2 2 4 1 0 0 2 0 -1 -2 1 2 0 0 1 0 2 2 0 0] [ 1 0 -1 1 1 4 -1 -1 2 0 0 0 2 1 2 0 2 0 0 1 -1 0] [ 0 -1 0 0 0 -1 4 -1 1 -1 1 1 0 0 0 -2 0 0 0 -1 -1 1] [-2 0 0 0 0 -1 -1 6 0 3 -1 -2 1 2 0 2 1 1 1 0 2 0] [ 1 -1 1 2 2 2 1 0 6 0 1 -1 2 3 4 -1 3 1 2 1 -1 -1] [-1 0 0 1 0 0 -1 3 0 4 0 -2 0 2 0 1 1 0 1 1 0 0] [ 0 -1 1 -1 -1 0 1 -1 1 0 4 1 -1 0 0 -1 0 0 -1 -1 -1 0] [ 1 0 -1 -1 -2 0 1 -2 -1 -2 1 4 -1 -2 0 -1 -1 -1 -1 -1 0 0] [ 1 1 -1 1 1 2 0 1 2 0 -1 -1 4 1 2 1 2 0 0 0 0 1] [-1 -1 1 2 2 1 0 2 3 2 0 -2 1 4 1 0 2 0 2 2 0 0] [ 2 0 0 2 0 2 0 0 4 0 0 0 2 1 6 0 2 1 1 0 -1 -1] [ 0 1 0 1 0 0 -2 2 -1 1 -1 -1 1 0 0 4 0 -1 0 0 0 1] [ 1 1 -1 1 1 2 0 1 3 1 0 -1 2 2 2 0 4 0 1 1 0 0] [ 0 -1 0 -1 0 0 0 1 1 0 0 -1 0 0 1 -1 0 4 1 -1 0 -2] [ 0 -1 1 2 2 0 0 1 2 1 -1 -1 0 2 1 0 1 1 4 1 0 -1] [-1 -1 1 2 2 1 -1 0 1 1 -1 -1 0 2 0 0 1 -1 1 4 1 0] [-1 0 0 -1 0 -1 -1 2 -1 0 -1 0 0 0 -1 0 0 0 0 1 4 -1] [-1 0 0 1 0 0 1 0 -1 0 0 0 1 0 -1 1 0 -2 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 564. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 -2 -1 1 -1 -2 0 -1 -1 0 0 1 -1 2 0 0 -2 1 0] [ 0 4 -1 1 1 0 1 2 1 0 -1 1 -2 -1 0 -2 0 2 1 1 0 2] [ 1 -1 4 -2 0 1 0 0 0 1 0 1 1 -1 0 0 -1 -1 -2 0 0 0] [-2 1 -2 4 2 1 0 1 1 0 0 0 0 0 0 -1 0 1 1 1 -1 0] [-2 1 0 2 4 2 -1 2 2 0 0 0 -1 -1 0 0 -2 0 0 2 0 1] [-1 0 1 1 2 4 -1 1 1 1 0 1 -1 0 -1 1 -1 0 -1 1 -1 1] [ 1 1 0 0 -1 -1 4 1 -1 -1 1 0 0 -1 1 0 2 1 -1 -1 -1 1] [-1 2 0 1 2 1 1 4 1 0 0 0 -2 -2 0 0 -1 0 0 1 0 2] [-2 1 0 1 2 1 -1 1 4 0 1 1 0 -1 0 -1 -2 1 0 2 -1 1] [ 0 0 1 0 0 1 -1 0 0 4 0 0 0 -1 -2 1 0 1 -1 0 -1 0] [-1 -1 0 0 0 0 1 0 1 0 4 0 1 0 1 2 0 0 -2 -1 -1 0] [-1 1 1 0 0 1 0 0 1 0 0 4 0 1 0 -1 -1 1 -1 1 -1 0] [ 0 -2 1 0 -1 -1 0 -2 0 0 1 0 4 0 0 -1 0 0 -1 0 -1 -1] [ 0 -1 -1 0 -1 0 -1 -2 -1 -1 0 1 0 4 0 1 1 0 0 -1 1 -2] [ 1 0 0 0 0 -1 1 0 0 -2 1 0 0 0 4 -1 0 -1 0 -1 1 0] [-1 -2 0 -1 0 1 0 0 -1 1 2 -1 -1 1 -1 6 1 -1 -2 -1 0 0] [ 2 0 -1 0 -2 -1 2 -1 -2 0 0 -1 0 1 0 1 4 1 0 -2 0 0] [ 0 2 -1 1 0 0 1 0 1 1 0 1 0 0 -1 -1 1 4 0 1 -1 1] [ 0 1 -2 1 0 -1 -1 0 0 -1 -2 -1 -1 0 0 -2 0 0 4 0 1 0] [-2 1 0 1 2 1 -1 1 2 0 -1 1 0 -1 -1 -1 -2 1 0 4 0 1] [ 1 0 0 -1 0 -1 -1 0 -1 -1 -1 -1 -1 1 1 0 0 -1 1 0 4 -1] [ 0 2 0 0 1 1 1 2 1 0 0 0 -1 -2 0 0 0 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 565. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 2 2 -2 1 2 -1 1 2 2 -1 -2 -1 0 1 -1 2] [ 1 4 0 0 2 0 0 0 -1 2 1 -1 2 2 2 0 0 -2 1 2 0 1] [-1 0 4 0 -1 0 0 -1 -1 1 1 -1 0 1 -1 -1 2 -1 -1 1 0 0] [-1 0 0 4 -2 -2 -1 1 0 0 1 2 -1 1 -1 -1 2 0 -1 0 -1 0] [ 2 2 -1 -2 6 1 2 -1 -1 0 2 -2 0 1 1 0 -3 0 2 0 -1 2] [ 1 0 0 -2 1 4 2 -1 -1 0 1 -2 0 -1 2 0 -2 0 0 0 1 1] [ 2 0 0 -1 2 2 4 1 -2 0 2 -1 0 1 1 0 -1 0 0 0 -1 2] [ 2 0 -1 1 -1 -1 1 4 -1 0 0 1 1 2 1 0 0 -1 -1 1 -1 1] [-2 -1 -1 0 -1 -1 -2 -1 4 -1 -2 1 -1 -2 -2 1 1 2 1 -2 0 -2] [ 1 2 1 0 0 0 0 0 -1 4 2 -1 1 2 1 0 0 -2 -1 2 0 1] [ 2 1 1 1 2 1 2 0 -2 2 6 -2 -1 3 1 -1 0 -1 0 1 -2 3] [-1 -1 -1 2 -2 -2 -1 1 1 -1 -2 4 -1 -1 -1 0 1 1 -1 -1 0 -1] [ 1 2 0 -1 0 0 0 1 -1 1 -1 -1 4 1 1 0 0 -2 1 2 1 0] [ 2 2 1 1 1 -1 1 2 -2 2 3 -1 1 6 0 0 1 -3 -1 2 -2 2] [ 2 2 -1 -1 1 2 1 1 -2 1 1 -1 1 0 6 1 -1 -1 0 2 0 1] [-1 0 -1 -1 0 0 0 0 1 0 -1 0 0 0 1 4 1 0 0 0 0 0] [-2 0 2 2 -3 -2 -1 0 1 0 0 1 0 1 -1 1 6 0 0 0 -1 -1] [-1 -2 -1 0 0 0 0 -1 2 -2 -1 1 -2 -3 -1 0 0 4 1 -2 0 -1] [ 0 1 -1 -1 2 0 0 -1 1 -1 0 -1 1 -1 0 0 0 1 4 -1 0 0] [ 1 2 1 0 0 0 0 1 -2 2 1 -1 2 2 2 0 0 -2 -1 4 1 1] [-1 0 0 -1 -1 1 -1 -1 0 0 -2 0 1 -2 0 0 -1 0 0 1 4 -1] [ 2 1 0 0 2 1 2 1 -2 1 3 -1 0 2 1 0 -1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 566. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 1 1 -1 2 -1 1 1 -2 1 1 -1 -1 -1 1 -1 1 0 -1] [ 2 4 1 0 -1 0 1 2 -1 0 0 -1 1 0 -1 -1 -1 -1 -2 0 0 -1] [ 0 1 4 2 -2 -1 0 -1 0 1 -2 -1 0 1 -1 1 -1 -1 0 1 1 -1] [-1 0 2 4 -2 0 0 -1 0 -1 -1 1 1 0 -1 1 0 -1 0 0 0 0] [ 1 -1 -2 -2 4 0 0 1 -1 1 1 0 0 1 1 0 0 2 0 1 0 1] [ 1 0 -1 0 0 4 -2 0 -1 -1 2 0 -1 1 0 1 1 0 1 1 1 -1] [-1 1 0 0 0 -2 4 1 0 0 0 1 0 -1 1 -1 -1 0 -2 -1 -1 1] [ 2 2 -1 -1 1 0 1 4 0 0 1 -1 0 0 -1 -1 -1 1 -2 0 0 0] [-1 -1 0 0 -1 -1 0 0 4 -1 -1 0 0 0 0 -1 -1 -1 0 0 0 -1] [ 1 0 1 -1 1 -1 0 0 -1 4 -1 -1 0 0 1 1 -1 2 0 0 1 0] [ 1 0 -2 -1 1 2 0 1 -1 -1 4 1 0 0 0 0 0 1 0 0 -1 1] [-2 -1 -1 1 0 0 1 -1 0 -1 1 4 1 -1 1 1 1 0 1 -1 -1 2] [ 1 1 0 1 0 -1 0 0 0 0 0 1 4 -1 0 -1 0 0 0 -1 -1 1] [ 1 0 1 0 1 1 -1 0 0 0 0 -1 -1 4 0 1 0 0 0 2 1 -1] [-1 -1 -1 -1 1 0 1 -1 0 1 0 1 0 0 4 1 0 0 1 0 1 1] [-1 -1 1 1 0 1 -1 -1 -1 1 0 1 -1 1 1 4 0 0 2 1 2 1] [-1 -1 -1 0 0 1 -1 -1 -1 -1 0 1 0 0 0 0 4 0 1 -1 0 1] [ 1 -1 -1 -1 2 0 0 1 -1 2 1 0 0 0 0 0 0 4 0 0 0 1] [-1 -2 0 0 0 1 -2 -2 0 0 0 1 0 0 1 2 1 0 4 0 1 1] [ 1 0 1 0 1 1 -1 0 0 0 0 -1 -1 2 0 1 -1 0 0 4 2 -1] [ 0 0 1 0 0 1 -1 0 0 1 -1 -1 -1 1 1 2 0 0 1 2 4 -1] [-1 -1 -1 0 1 -1 1 0 -1 0 1 2 1 -1 1 1 1 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 567. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 0 1 1 -1 2 1 -1 2 0 0 1 -1 1 -1 -1 2 1] [ 1 4 0 1 0 -1 0 0 -1 1 2 1 0 0 0 0 -1 1 -1 -1 0 -1] [-1 0 4 -2 0 0 0 0 -1 1 1 -1 0 0 0 0 2 0 0 0 -2 0] [ 1 1 -2 6 2 -2 0 -2 -1 0 0 0 0 2 2 -2 -3 0 2 0 2 -1] [-1 0 0 2 4 -2 0 -2 -1 0 0 -1 -1 1 2 0 -1 1 1 -1 1 -1] [ 0 -1 0 -2 -2 6 2 0 -1 -1 1 0 -1 -3 -1 1 1 -1 0 1 -2 3] [ 1 0 0 0 0 2 4 -1 -2 -1 0 -1 1 -2 -1 1 1 1 1 -1 1 1] [ 1 0 0 -2 -2 0 -1 4 2 1 0 1 1 0 0 1 0 -1 -2 1 -1 0] [-1 -1 -1 -1 -1 -1 -2 2 4 -1 -2 1 0 1 0 0 0 -1 -1 1 -1 -1] [ 2 1 1 0 0 -1 -1 1 -1 4 2 -1 1 1 1 1 -1 1 -1 -1 1 0] [ 1 2 1 0 0 1 0 0 -2 2 4 0 0 -1 0 1 -1 0 -1 0 0 0] [-1 1 -1 0 -1 0 -1 1 1 -1 0 4 -1 0 -1 -1 0 -2 0 2 -1 -1] [ 2 0 0 0 -1 -1 1 1 0 1 0 -1 4 0 -1 1 0 0 -1 -1 2 0] [ 0 0 0 2 1 -3 -2 0 1 1 -1 0 0 4 1 -1 -1 0 0 0 1 -1] [ 0 0 0 2 2 -1 -1 0 0 1 0 -1 -1 1 4 -1 -2 0 1 0 -1 0] [ 1 0 0 -2 0 1 1 1 0 1 1 -1 1 -1 -1 4 1 1 -2 -1 1 1] [-1 -1 2 -3 -1 1 1 0 0 -1 -1 0 0 -1 -2 1 4 0 0 0 -1 1] [ 1 1 0 0 1 -1 1 -1 -1 1 0 -2 0 0 0 1 0 4 0 -2 2 0] [-1 -1 0 2 1 0 1 -2 -1 -1 -1 0 -1 0 1 -2 0 0 4 0 0 0] [-1 -1 0 0 -1 1 -1 1 1 -1 0 2 -1 0 0 -1 0 -2 0 4 -1 0] [ 2 0 -2 2 1 -2 1 -1 -1 1 0 -1 2 1 -1 1 -1 2 0 -1 6 -1] [ 1 -1 0 -1 -1 3 1 0 -1 0 0 -1 0 -1 0 1 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 568. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -1 1 -2 -1 1 -1 -1 -2 1 -1 0 1 -1 1 1 -1 -1 -1] [-2 4 -1 -1 2 0 0 1 1 -1 0 2 0 1 1 1 0 0 0 0 1 -1] [ 0 -1 4 2 1 -1 0 -2 0 2 -1 -1 1 -2 -2 1 1 -1 -1 0 -1 2] [ 1 -1 2 4 1 1 -1 0 1 2 0 -1 1 -2 -1 2 1 -1 -1 -1 -2 2] [-1 2 1 1 4 0 0 -1 2 1 0 1 0 -1 -1 2 0 0 0 0 -1 1] [ 1 0 -1 1 0 4 -2 2 0 -1 1 0 0 0 0 2 -1 0 -1 -2 -1 -1] [-2 0 0 -1 0 -2 4 -1 0 2 0 0 0 0 0 -1 1 -1 0 2 1 0] [-1 1 -2 0 -1 2 -1 6 -2 -1 1 1 -1 2 0 1 1 1 -1 -2 1 1] [ 1 1 0 1 2 0 0 -2 6 -1 0 1 2 -1 -1 0 1 1 2 2 -1 -2] [-1 -1 2 2 1 -1 2 -1 -1 6 -1 -1 1 -2 0 1 0 -2 -2 1 0 2] [-1 0 -1 0 0 1 0 1 0 -1 4 0 0 0 0 -1 1 0 -1 1 -1 0] [-2 2 -1 -1 1 0 0 1 1 -1 0 4 -1 2 0 -1 0 1 0 1 1 0] [ 1 0 1 1 0 0 0 -1 2 1 0 -1 4 -2 0 1 1 -1 0 2 0 -1] [-1 1 -2 -2 -1 0 0 2 -1 -2 0 2 -2 4 0 -2 0 2 0 -1 2 0] [ 0 1 -2 -1 -1 0 0 0 -1 0 0 0 0 0 4 0 -2 -1 0 0 1 -2] [ 1 1 1 2 2 2 -1 1 0 1 -1 -1 1 -2 0 6 0 -1 -1 -2 -1 1] [-1 0 1 1 0 -1 1 1 1 0 1 0 1 0 -2 0 4 0 0 1 0 2] [ 1 0 -1 -1 0 0 -1 1 1 -2 0 1 -1 2 -1 -1 0 4 1 0 1 0] [ 1 0 -1 -1 0 -1 0 -1 2 -2 -1 0 0 0 0 -1 0 1 4 0 0 -1] [-1 0 0 -1 0 -2 2 -2 2 1 1 1 2 -1 0 -2 1 0 0 6 1 -1] [-1 1 -1 -2 -1 -1 1 1 -1 0 -1 1 0 2 1 -1 0 1 0 1 4 -1] [-1 -1 2 2 1 -1 0 1 -2 2 0 0 -1 0 -2 1 2 0 -1 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 569. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -1 -2 2 -1 -2 2 -2 -2 -1 2 -1 -1 1 1 2 -1 1 -2 1] [-1 4 -1 0 0 1 2 0 -1 0 1 -1 0 0 0 -1 1 -2 -1 0 -1 1] [ 1 -1 4 -1 -2 -1 0 0 0 -1 -1 1 1 0 -1 1 -1 0 0 1 1 0] [-1 0 -1 4 2 1 0 0 0 2 1 0 -1 -1 1 1 0 0 2 -2 1 0] [-2 0 -2 2 6 1 0 2 0 1 3 -1 -1 2 0 -1 0 -1 2 0 0 1] [ 2 1 -1 1 1 6 -1 0 2 0 1 -1 1 0 -1 -1 0 1 0 0 -3 2] [-1 2 0 0 0 -1 4 -1 -2 0 0 0 -1 0 1 0 1 -2 0 0 0 1] [-2 0 0 0 2 0 -1 4 -1 0 2 0 -1 2 0 -2 -2 -1 0 0 0 0] [ 2 -1 0 0 0 2 -2 -1 4 0 0 0 2 0 -2 0 1 1 0 0 0 1] [-2 0 -1 2 1 0 0 0 0 4 1 1 -1 -1 0 0 0 0 2 -2 2 -1] [-2 1 -1 1 3 1 0 2 0 1 4 0 0 1 -1 -2 0 -1 1 -1 1 0] [-1 -1 1 0 -1 -1 0 0 0 1 0 4 -1 0 0 0 0 0 1 0 1 -1] [ 2 0 1 -1 -1 1 -1 -1 2 -1 0 -1 4 -1 -1 0 1 0 0 1 0 1] [-1 0 0 -1 2 0 0 2 0 -1 1 0 -1 4 -1 -1 -1 -1 -1 1 0 1] [-1 0 -1 1 0 -1 1 0 -2 0 -1 0 -1 -1 4 0 -1 -1 1 0 -1 0] [ 1 -1 1 1 -1 -1 0 -2 0 0 -2 0 0 -1 0 4 1 1 0 0 1 0] [ 1 1 -1 0 0 0 1 -2 1 0 0 0 1 -1 -1 1 4 0 0 0 0 1] [ 2 -2 0 0 -1 1 -2 -1 1 0 -1 0 0 -1 -1 1 0 4 0 0 0 -1] [-1 -1 0 2 2 0 0 0 0 2 1 1 0 -1 1 0 0 0 4 -1 1 0] [ 1 0 1 -2 0 0 0 0 0 -2 -1 0 1 1 0 0 0 0 -1 4 -1 1] [-2 -1 1 1 0 -3 0 0 0 2 1 1 0 0 -1 1 0 0 1 -1 6 -2] [ 1 1 0 0 1 2 1 0 1 -1 0 -1 1 1 0 0 1 -1 0 1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 570. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 2 1 -1 2 -2 -1 0 1 -2 1 0 0 -2 1 0 -2 -1 -2] [-2 4 2 -1 -1 -1 0 -1 2 1 1 -1 0 -2 -1 0 1 -2 -1 2 1 0] [-2 2 4 0 -1 -1 1 -2 2 0 1 -1 2 -1 0 1 2 -2 0 1 1 0] [ 1 -1 0 4 -1 0 1 1 0 -1 1 0 1 2 0 0 0 -1 -1 -1 0 -2] [ 2 -1 -1 -1 6 1 -2 2 -1 1 -1 2 -2 1 2 -1 -1 3 2 -3 -2 -1] [ 1 -1 -1 0 1 4 0 -1 -1 0 -1 2 1 1 0 -1 0 0 2 -1 -2 -1] [-1 0 1 1 -2 0 4 0 0 -1 -1 0 3 0 -1 -1 2 -2 0 2 0 -1] [ 2 -1 -2 1 2 -1 0 6 -2 -1 0 1 -2 0 -1 -2 -1 1 -1 0 -1 0] [-2 2 2 0 -1 -1 0 -2 4 0 1 -2 0 -1 0 1 1 -2 -1 0 1 1] [-1 1 0 -1 1 0 -1 -1 0 4 0 0 -1 0 1 0 -1 0 0 -1 0 0] [ 0 1 1 1 -1 -1 -1 0 1 0 4 -2 -1 -1 -1 2 -1 0 -1 0 2 1] [ 1 -1 -1 0 2 2 0 1 -2 0 -2 4 0 2 0 -2 1 1 2 0 -2 -2] [-2 0 2 1 -2 1 3 -2 0 -1 -1 0 6 0 0 -1 3 -1 1 2 0 0] [ 1 -2 -1 2 1 1 0 0 -1 0 -1 2 0 4 1 0 0 1 1 -2 -1 -2] [ 0 -1 0 0 2 0 -1 -1 0 1 -1 0 0 1 4 1 -1 1 1 -2 0 0] [ 0 0 1 0 -1 -1 -1 -2 1 0 2 -2 -1 0 1 4 -1 0 0 -1 2 1] [-2 1 2 0 -1 0 2 -1 1 -1 -1 1 3 0 -1 -1 4 -1 1 2 0 0] [ 1 -2 -2 -1 3 0 -2 1 -2 0 0 1 -1 1 1 0 -1 6 2 -1 0 1] [ 0 -1 0 -1 2 2 0 -1 -1 0 -1 2 1 1 1 0 1 2 4 -1 -1 0] [-2 2 1 -1 -3 -1 2 0 0 -1 0 0 2 -2 -2 -1 2 -1 -1 6 2 1] [-1 1 1 0 -2 -2 0 -1 1 0 2 -2 0 -1 0 2 0 0 -1 2 4 1] [-2 0 0 -2 -1 -1 -1 0 1 0 1 -2 0 -2 0 1 0 1 0 1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 571. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 1 1 -2 2 1 -2 1 -1 0 1 -1 -2 0 -2 -1 -2 1 -2] [ 0 4 -2 0 -2 -1 -1 2 0 1 0 1 0 -2 -2 2 2 -1 1 1 0 0] [ 0 -2 4 1 2 2 0 0 -1 -1 0 -1 0 0 2 -1 -1 0 -2 0 0 1] [ 2 0 1 4 1 1 0 2 -1 -2 0 -1 0 0 1 0 0 -1 -2 -1 0 -1] [ 1 -2 2 1 4 2 -1 -1 0 -2 0 -1 0 0 2 -2 -2 1 -2 -2 0 -1] [ 1 -1 2 1 2 4 -2 1 -1 -1 1 -1 -1 0 2 0 0 1 -2 -2 -1 0] [-2 -1 0 0 -1 -2 6 -3 1 2 0 1 2 1 1 -1 -1 2 0 0 0 2] [ 2 2 0 2 -1 1 -3 6 -2 -1 1 0 -2 0 -2 2 2 -3 -1 1 1 -1] [ 1 0 -1 -1 0 -1 1 -2 4 0 1 0 2 0 0 -3 -1 0 1 -1 0 0] [-2 1 -1 -2 -2 -1 2 -1 0 4 0 2 0 0 -1 1 1 1 1 1 0 2] [ 1 0 0 0 0 1 0 1 1 0 4 -1 0 1 1 0 -1 -1 -1 0 -1 0] [-1 1 -1 -1 -1 -1 1 0 0 2 -1 4 -1 0 -1 0 2 0 1 1 0 1] [ 0 0 0 0 0 -1 2 -2 2 0 0 -1 4 0 0 -2 -1 0 1 0 0 0] [ 1 -2 0 0 0 0 1 0 0 0 1 0 0 4 0 -1 -1 0 0 -1 1 -1] [-1 -2 2 1 2 2 1 -2 0 -1 1 -1 0 0 6 0 -2 1 -2 -1 -2 1] [-2 2 -1 0 -2 0 -1 2 -3 1 0 0 -2 -1 0 6 2 0 0 2 -1 1] [ 0 2 -1 0 -2 0 -1 2 -1 1 -1 2 -1 -1 -2 2 4 -1 1 1 0 1] [-2 -1 0 -1 1 1 2 -3 0 1 -1 0 0 0 1 0 -1 6 0 -2 0 1] [-1 1 -2 -2 -2 -2 0 -1 1 1 -1 1 1 0 -2 0 1 0 4 1 0 0] [-2 1 0 -1 -2 -2 0 1 -1 1 0 1 0 -1 -1 2 1 -2 1 6 0 1] [ 1 0 0 0 0 -1 0 1 0 0 -1 0 0 1 -2 -1 0 0 0 0 4 -1] [-2 0 1 -1 -1 0 2 -1 0 2 0 1 0 -1 1 1 1 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 572. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 1 2 1 -1 -2 0 -2 0 1 1 1 -1 1 1 1 1 -2 0 1] [ 0 6 3 -1 1 3 3 0 -1 -1 -1 -2 0 0 -2 0 -2 2 -1 3 -1 -1] [-2 3 6 -1 0 1 2 1 0 0 -2 -2 -2 -2 0 -2 -1 0 -1 4 0 -1] [ 1 -1 -1 4 0 0 0 0 1 0 1 1 0 -1 -1 1 -1 0 2 0 1 0] [ 2 1 0 0 4 0 -1 -2 -1 -2 0 0 -1 0 0 -1 1 1 -1 0 -1 1] [ 1 3 1 0 0 4 1 -1 -1 -1 -1 0 0 0 -2 1 -2 2 0 1 -1 0] [-1 3 2 0 -1 1 4 2 0 1 0 -2 0 0 -1 0 -2 1 0 2 0 -2] [-2 0 1 0 -2 -1 2 4 0 2 0 -1 0 0 1 0 -1 -1 0 1 0 -1] [ 0 -1 0 1 -1 -1 0 0 4 0 -1 1 1 0 -1 0 1 0 2 -1 1 0] [-2 -1 0 0 -2 -1 1 2 0 4 1 0 0 -1 0 1 -1 -1 -1 0 0 0] [ 0 -1 -2 1 0 -1 0 0 -1 1 4 -1 0 1 1 0 0 0 0 -1 1 -1] [ 1 -2 -2 1 0 0 -2 -1 1 0 -1 4 1 0 -1 1 0 0 1 -1 -1 2] [ 1 0 -2 0 -1 0 0 0 1 0 0 1 4 1 -1 1 0 1 1 -2 1 1] [ 1 0 -2 -1 0 0 0 0 0 -1 1 0 1 4 1 0 1 0 1 -1 0 0] [-1 -2 0 -1 0 -2 -1 1 -1 0 1 -1 -1 1 4 -2 1 -2 0 0 0 0] [ 1 0 -2 1 -1 1 0 0 0 1 0 1 1 0 -2 4 0 0 0 -1 0 1] [ 1 -2 -1 -1 1 -2 -2 -1 1 -1 0 0 0 1 1 0 4 -1 0 -2 1 1] [ 1 2 0 0 1 2 1 -1 0 -1 0 0 1 0 -2 0 -1 4 0 0 0 0] [ 1 -1 -1 2 -1 0 0 0 2 -1 0 1 1 1 0 0 0 0 4 -1 1 0] [-2 3 4 0 0 1 2 1 -1 0 -1 -1 -2 -1 0 -1 -2 0 -1 6 0 -1] [ 0 -1 0 1 -1 -1 0 0 1 0 1 -1 1 0 0 0 1 0 1 0 4 -1] [ 1 -1 -1 0 1 0 -2 -1 0 0 -1 2 1 0 0 1 1 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 573. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 0 -2 -1 -2 -1 1 0 -1 1 0 1 -1 1 0 -2 0 1 2] [-1 4 -1 0 1 1 0 0 1 0 1 -1 1 1 -2 1 -2 0 -1 0 1 0] [ 0 -1 4 -1 -2 -1 0 0 -2 1 1 -1 1 0 0 1 1 -1 2 1 -1 0] [-1 0 -1 4 0 2 2 1 -1 -1 0 2 -2 -1 0 -1 1 -1 1 1 -1 -1] [ 0 1 -2 0 4 -1 -1 1 0 -1 1 0 -1 -1 0 -1 -2 2 -2 -2 0 -1] [-2 1 -1 2 -1 4 2 1 1 -1 0 1 -1 1 -1 0 0 -1 1 1 0 -1] [-1 0 0 2 -1 2 4 0 -1 -1 0 1 -2 1 0 -1 0 0 0 0 0 -1] [-2 0 0 1 1 1 0 4 0 0 0 1 0 -1 -1 1 -1 0 2 0 -1 -2] [-1 1 -2 -1 0 1 -1 0 6 -1 -2 -1 2 0 -2 1 -1 -1 -1 1 1 1] [ 1 0 1 -1 -1 -1 -1 0 -1 4 -1 -1 2 0 1 1 1 0 1 0 0 1] [ 0 1 1 0 1 0 0 0 -2 -1 4 -1 0 1 -1 0 -1 0 -1 0 -1 0] [-1 -1 -1 2 0 1 1 1 -1 -1 -1 4 -3 0 1 0 0 0 2 0 -1 -1] [ 1 1 1 -2 -1 -1 -2 0 2 2 0 -3 6 0 -2 2 0 -2 -1 1 1 2] [ 0 1 0 -1 -1 1 1 -1 0 0 1 0 0 4 -1 1 -1 0 -1 0 1 1] [ 1 -2 0 0 0 -1 0 -1 -2 1 -1 1 -2 -1 4 -2 1 1 1 -1 -1 0] [-1 1 1 -1 -1 0 -1 1 1 1 0 0 2 1 -2 4 0 -1 1 1 0 1] [ 1 -2 1 1 -2 0 0 -1 -1 1 -1 0 0 -1 1 0 4 -1 1 1 0 1] [ 0 0 -1 -1 2 -1 0 0 -1 0 0 0 -2 0 1 -1 -1 4 -1 -2 1 -1] [-2 -1 2 1 -2 1 0 2 -1 1 -1 2 -1 -1 1 1 1 -1 6 1 -2 -1] [ 0 0 1 1 -2 1 0 0 1 0 0 0 1 0 -1 1 1 -2 1 4 0 1] [ 1 1 -1 -1 0 0 0 -1 1 0 -1 -1 1 1 -1 0 0 1 -2 0 4 0] [ 2 0 0 -1 -1 -1 -1 -2 1 1 0 -1 2 1 0 1 1 -1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 574. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 2 1 2 -1 0 -1 0 -2 1 1 -2 1 -1 0 2 1 2] [-1 4 2 -2 -1 -2 -1 -2 0 -1 1 -1 1 -2 1 -1 -2 2 -1 -1 1 1] [-2 2 4 -2 -2 -1 -1 -2 0 -1 0 0 0 0 0 1 -1 2 -1 -2 -1 -1] [ 2 -2 -2 4 2 1 2 2 -1 1 0 0 0 0 -1 0 0 -2 1 2 0 0] [ 2 -1 -2 2 6 3 1 2 0 1 2 1 0 -2 2 1 -1 -2 2 1 1 -1] [ 2 -2 -1 1 3 6 -1 1 -1 -1 -1 0 -3 2 2 2 1 -1 0 0 0 1] [ 1 -1 -1 2 1 -1 4 1 1 2 0 0 0 0 -2 0 0 -1 2 1 0 0] [ 2 -2 -2 2 2 1 1 4 -1 1 0 0 0 1 1 0 0 -2 0 2 0 0] [-1 0 0 -1 0 -1 1 -1 4 2 1 0 1 0 -1 0 1 0 1 -1 -1 0] [ 0 -1 -1 1 1 -1 2 1 2 4 1 0 2 0 -2 0 0 -2 1 0 -1 0] [-1 1 0 0 2 -1 0 0 1 1 4 0 3 -3 0 0 -1 0 1 -1 1 -2] [ 0 -1 0 0 1 0 0 0 0 0 0 4 -1 -1 -1 -1 0 -1 1 0 0 -2] [-2 1 0 0 0 -3 0 0 1 2 3 -1 6 -3 0 0 -1 -1 1 0 0 -1] [ 1 -2 0 0 -2 2 0 1 0 0 -3 -1 -3 6 -1 1 2 0 -2 0 -1 2] [ 1 1 0 -1 2 2 -2 1 -1 -2 0 -1 0 -1 6 0 -1 0 0 1 0 1] [-2 -1 1 0 1 2 0 0 0 0 0 -1 0 1 0 6 0 0 0 -1 -1 -1] [ 1 -2 -1 0 -1 1 0 0 1 0 -1 0 -1 2 -1 0 4 0 0 0 0 1] [-1 2 2 -2 -2 -1 -1 -2 0 -2 0 -1 -1 0 0 0 0 4 -1 -1 1 0] [ 0 -1 -1 1 2 0 2 0 1 1 1 1 1 -2 0 0 0 -1 4 0 0 -1] [ 2 -1 -2 2 1 0 1 2 -1 0 -1 0 0 0 1 -1 0 -1 0 4 1 1] [ 1 1 -1 0 1 0 0 0 -1 -1 1 0 0 -1 0 -1 0 1 0 1 4 0] [ 2 1 -1 0 -1 1 0 0 0 0 -2 -2 -1 2 1 -1 1 0 -1 1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 575. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 2 -1 -1 1 1 2 -1 1 -1 -1 -2 -1 1 -1 1 2 1 0] [ 1 4 0 0 1 1 -1 0 0 2 1 2 0 -2 0 0 0 0 2 2 0 1] [ 0 0 4 1 1 -1 0 0 0 -1 1 1 0 -1 2 0 1 0 -2 1 0 -1] [-1 0 1 4 1 1 -1 -2 1 0 1 0 -1 0 0 -1 1 2 1 1 1 1] [ 2 1 1 1 4 -1 -2 -1 2 2 -1 1 0 -1 -1 0 0 0 1 1 0 0] [-1 1 -1 1 -1 4 0 -1 -1 0 1 0 0 -1 1 1 1 2 0 0 0 1] [-1 -1 0 -1 -2 0 4 0 0 -1 0 -1 -1 0 1 0 -1 1 0 0 1 0] [ 1 0 0 -2 -1 -1 0 4 -2 -1 -1 0 0 0 -1 0 0 -2 -1 1 0 0] [ 1 0 0 1 2 -1 0 -2 4 2 -1 0 0 0 -1 0 0 1 2 1 0 0] [ 2 2 -1 0 2 0 -1 -1 2 4 0 1 0 -1 -2 0 0 0 2 1 0 0] [-1 1 1 1 -1 1 0 -1 -1 0 4 0 0 0 2 -1 0 1 -1 0 0 -1] [ 1 2 1 0 1 0 -1 0 0 1 0 4 -1 -2 1 0 1 0 0 2 0 1] [-1 0 0 -1 0 0 -1 0 0 0 0 -1 4 0 0 2 -1 -1 -1 -2 -2 -1] [-1 -2 -1 0 -1 -1 0 0 0 -1 0 -2 0 4 0 -1 0 -1 -1 -1 0 -1] [-2 0 2 0 -1 1 1 -1 -1 -2 2 1 0 0 6 0 1 1 -3 -1 0 0] [-1 0 0 -1 0 1 0 0 0 0 -1 0 2 -1 0 4 0 0 -1 -1 -2 0] [ 1 0 1 1 0 1 -1 0 0 0 0 1 -1 0 1 0 4 0 -1 1 1 1] [-1 0 0 2 0 2 1 -2 1 0 1 0 -1 -1 1 0 0 4 1 1 1 1] [ 1 2 -2 1 1 0 0 -1 2 2 -1 0 -1 -1 -3 -1 -1 1 6 1 1 2] [ 2 2 1 1 1 0 0 1 1 1 0 2 -2 -1 -1 -1 1 1 1 6 2 1] [ 1 0 0 1 0 0 1 0 0 0 0 0 -2 0 0 -2 1 1 1 2 4 1] [ 0 1 -1 1 0 1 0 0 0 0 -1 1 -1 -1 0 0 1 1 2 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 576. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 0 0 -1 0 2 2 0 -1 1 -2 1 2 1 -1 0 -1 1] [-2 4 2 -2 0 1 -1 0 -1 -2 -1 -1 2 -1 0 0 -2 -1 2 0 1 1] [-2 2 4 -2 0 1 -1 1 -1 -2 -2 -1 0 0 2 1 -2 0 2 1 0 -1] [ 1 -2 -2 4 -1 -2 1 0 0 1 1 0 0 0 -1 -1 1 1 -2 0 -1 -1] [ 1 0 0 -1 4 0 1 -2 1 0 -1 1 0 -1 1 1 0 -1 -1 0 0 1] [ 0 1 1 -2 0 4 -2 0 -1 0 -1 -1 0 0 -1 0 0 -1 0 0 1 0] [ 0 -1 -1 1 1 -2 4 -1 2 0 0 2 0 -1 2 0 0 1 -1 1 -1 1] [-1 0 1 0 -2 0 -1 4 0 -1 -1 0 0 2 0 -1 -1 1 0 0 -1 -1] [ 0 -1 -1 0 1 -1 2 0 4 -1 0 2 -1 -1 2 -1 0 1 -2 -1 -1 1] [ 2 -2 -2 1 0 0 0 -1 -1 4 1 0 -1 1 -2 0 2 0 -1 0 0 0] [ 2 -1 -2 1 -1 -1 0 -1 0 1 4 0 0 0 -2 0 1 1 1 -1 0 1] [ 0 -1 -1 0 1 -1 2 0 2 0 0 4 -1 -1 2 -1 -1 1 0 -1 -1 1] [-1 2 0 0 0 0 0 0 -1 -1 0 -1 4 0 -1 -1 -1 -1 0 0 1 0] [ 1 -1 0 0 -1 0 -1 2 -1 1 0 -1 0 4 -1 0 1 1 0 0 -1 -1] [-2 0 2 -1 1 -1 2 0 2 -2 -2 2 -1 -1 6 1 -2 0 1 1 0 0] [ 1 0 1 -1 1 0 0 -1 -1 0 0 -1 -1 0 1 4 0 -1 2 2 1 1] [ 2 -2 -2 1 0 0 0 -1 0 2 1 -1 -1 1 -2 0 4 0 -2 0 0 0] [ 1 -1 0 1 -1 -1 1 1 1 0 1 1 -1 1 0 -1 0 4 0 0 -2 0] [-1 2 2 -2 -1 0 -1 0 -2 -1 1 0 0 0 1 2 -2 0 6 0 1 1] [ 0 0 1 0 0 0 1 0 -1 0 -1 -1 0 0 1 2 0 0 0 4 1 0] [-1 1 0 -1 0 1 -1 -1 -1 0 0 -1 1 -1 0 1 0 -2 1 1 4 0] [ 1 1 -1 -1 1 0 1 -1 1 0 1 1 0 -1 0 1 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 577. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 2 2 -2 1 -1 1 1 1 1 1 -1 -1 -1 -1 1 -1 -1 2] [-1 4 1 -1 0 -2 0 -1 2 0 -1 -1 0 1 -1 1 2 -1 1 0 -1 -2] [-2 1 4 -1 -1 0 2 -1 0 -1 -2 -1 1 1 0 1 0 1 -1 -1 -1 -1] [ 1 -1 -1 4 -1 0 0 -1 -1 0 -1 0 0 0 1 1 -1 0 1 0 0 1] [ 2 0 -1 -1 6 3 -1 -1 -1 2 1 -1 1 0 1 -3 -1 -1 -1 0 0 1] [ 2 -2 0 0 3 6 -1 0 -3 2 0 0 2 -1 1 -2 -3 1 -2 0 1 1] [-2 0 2 0 -1 -1 4 -2 1 -2 -2 -1 0 0 1 0 -1 0 -1 0 0 0] [ 1 -1 -1 -1 -1 0 -2 4 -1 1 2 1 -1 0 -1 0 1 0 0 -1 0 0] [-1 2 0 -1 -1 -3 1 -1 4 -2 0 0 -1 0 -1 0 2 -1 1 0 0 -1] [ 1 0 -1 0 2 2 -2 1 -2 4 1 -1 0 0 1 0 -1 0 -1 0 0 0] [ 1 -1 -2 -1 1 0 -2 2 0 1 4 1 -1 -1 -1 -1 0 -1 0 0 1 0] [ 1 -1 -1 0 -1 0 -1 1 0 -1 1 4 -1 0 -2 0 -1 -1 2 -1 0 0] [ 1 0 1 0 1 2 0 -1 -1 0 -1 -1 4 0 0 0 -1 1 -1 0 -1 1] [ 1 1 1 0 0 -1 0 0 0 0 -1 0 0 4 -1 1 0 -1 1 -1 -2 1] [-1 -1 0 1 1 1 1 -1 -1 1 -1 -2 0 -1 4 0 0 1 -2 1 1 1] [-1 1 1 1 -3 -2 0 0 0 0 -1 0 0 1 0 4 1 0 1 0 -1 0] [-1 2 0 -1 -1 -3 -1 1 2 -1 0 -1 -1 0 0 1 6 1 1 0 0 -1] [-1 -1 1 0 -1 1 0 0 -1 0 -1 -1 1 -1 1 0 1 4 -1 1 1 0] [ 1 1 -1 1 -1 -2 -1 0 1 -1 0 2 -1 1 -2 1 1 -1 4 -1 -1 0] [-1 0 -1 0 0 0 0 -1 0 0 0 -1 0 -1 1 0 0 1 -1 4 2 0] [-1 -1 -1 0 0 1 0 0 0 0 1 0 -1 -2 1 -1 0 1 -1 2 4 -1] [ 2 -2 -1 1 1 1 0 0 -1 0 0 0 1 1 1 0 -1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 578. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 0 0 1 -1 -1 -2 -1 0 1 -2 -2 1 1 -1 1 2 2] [ 2 4 0 1 2 1 0 1 1 -1 -2 1 1 1 -2 -1 0 1 -1 1 2 0] [ 0 0 4 -2 -1 -2 0 -1 -1 -2 -1 2 0 -2 -1 0 2 2 1 -2 1 1] [ 1 1 -2 4 2 2 0 0 0 2 0 -2 0 2 0 -1 0 -2 -2 2 0 0] [ 2 2 -1 2 4 1 0 0 0 1 0 -1 0 1 0 -2 0 -1 -1 1 0 0] [ 0 1 -2 2 1 4 1 1 2 1 -1 -1 0 1 1 -1 -2 -1 -2 1 -1 -1] [ 0 0 0 0 0 1 4 2 1 0 1 -1 -1 0 2 0 -1 0 -1 0 -2 1] [ 1 1 -1 0 0 1 2 4 0 0 0 0 -1 1 1 -1 -1 0 0 1 -1 1] [-1 1 -1 0 0 2 1 0 4 0 0 0 1 0 0 0 -2 0 -1 0 0 -2] [-1 -1 -2 2 1 1 0 0 0 4 2 -2 0 1 1 0 -1 -2 0 1 -1 -1] [-2 -2 -1 0 0 -1 1 0 0 2 6 -2 -2 1 3 1 -1 -2 0 1 -3 -1] [-1 1 2 -2 -1 -1 -1 0 0 -2 -2 6 0 -2 0 0 2 2 2 -2 0 0] [ 0 1 0 0 0 0 -1 -1 1 0 -2 0 4 -1 -2 0 0 1 1 -1 2 -1] [ 1 1 -2 2 1 1 0 1 0 1 1 -2 -1 4 -1 0 -1 -1 -2 2 0 0] [-2 -2 -1 0 0 1 2 1 0 1 3 0 -2 -1 6 0 -1 -2 0 0 -4 0] [-2 -1 0 -1 -2 -1 0 -1 0 0 1 0 0 0 0 4 0 0 0 0 0 0] [ 1 0 2 0 0 -2 -1 -1 -2 -1 -1 2 0 -1 -1 0 4 1 1 -1 1 2] [ 1 1 2 -2 -1 -1 0 0 0 -2 -2 2 1 -1 -2 0 1 4 1 -1 2 1] [-1 -1 1 -2 -1 -2 -1 0 -1 0 0 2 1 -2 0 0 1 1 4 -2 0 0] [ 1 1 -2 2 1 1 0 1 0 1 1 -2 -1 2 0 0 -1 -1 -2 4 1 0] [ 2 2 1 0 0 -1 -2 -1 0 -1 -3 0 2 0 -4 0 1 2 0 1 6 0] [ 2 0 1 0 0 -1 1 1 -2 -1 -1 0 -1 0 0 0 2 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 579. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 0 -1 -1 0 0 -2 0 1 -1 1 -1 1 1 -1 1 1 1 0] [ 0 4 -1 -1 0 -1 2 2 -2 1 1 1 1 0 -2 1 -1 0 -1 0 0 2] [ 1 -1 4 -1 -1 0 0 -2 2 -2 1 0 -1 -1 1 1 -1 1 1 -1 1 0] [-1 -1 -1 4 1 2 -1 -1 0 1 -2 -2 1 0 0 0 2 -1 1 1 0 -1] [ 0 0 -1 1 4 -1 0 0 -1 2 -1 0 2 1 1 -1 1 -1 -1 1 1 1] [-1 -1 0 2 -1 4 0 0 0 1 -1 -2 -1 -1 1 0 1 1 1 -1 0 -1] [-1 2 0 -1 0 0 4 0 -1 0 2 1 1 -1 -1 0 -2 0 -2 0 -1 2] [ 0 2 -2 -1 0 0 0 4 -2 2 0 0 0 0 -1 0 0 1 0 -1 0 1] [ 0 -2 2 0 -1 0 -1 -2 4 -2 0 0 -1 0 1 0 -1 1 1 -1 1 -1] [-2 1 -2 1 2 1 0 2 -2 6 0 0 2 0 2 -2 1 1 0 -1 0 1] [ 0 1 1 -2 -1 -1 2 0 0 0 4 1 0 0 0 -1 -2 0 -1 0 -1 2] [ 1 1 0 -2 0 -2 1 0 0 0 1 4 0 0 0 0 -1 0 -1 0 0 1] [-1 1 -1 1 2 -1 1 0 -1 2 0 0 4 0 -1 -1 0 -1 0 1 0 1] [ 1 0 -1 0 1 -1 -1 0 0 0 0 0 0 4 -1 0 1 -2 -1 1 0 0] [-1 -2 1 0 1 1 -1 -1 1 2 0 0 -1 -1 6 -1 1 2 0 -1 0 -1] [ 1 1 1 0 -1 0 0 0 0 -2 -1 0 -1 0 -1 4 1 0 0 0 0 0] [ 1 -1 -1 2 1 1 -2 0 -1 1 -2 -1 0 1 1 1 4 -1 1 1 0 -1] [-1 0 1 -1 -1 1 0 1 1 1 0 0 -1 -2 2 0 -1 4 1 -2 1 0] [ 1 -1 1 1 -1 1 -2 0 1 0 -1 -1 0 -1 0 0 1 1 4 -1 1 -1] [ 1 0 -1 1 1 -1 0 -1 -1 -1 0 0 1 1 -1 0 1 -2 -1 4 0 0] [ 1 0 1 0 1 0 -1 0 1 0 -1 0 0 0 0 0 0 1 1 0 4 0] [ 0 2 0 -1 1 -1 2 1 -1 1 2 1 1 0 -1 0 -1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 580. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 2 1 -1 1 -1 -2 -1 0 1 0 -1 0 -1 0 -1 -1 2] [ 1 4 0 -2 0 2 0 -1 -1 -2 -1 -2 -1 0 0 1 -1 1 -1 -2 0 1] [-1 0 4 -1 0 -1 0 2 -1 2 0 0 1 -1 0 2 1 -1 0 1 2 0] [-1 -2 -1 4 0 -1 0 -1 1 0 0 2 0 1 -1 0 0 1 0 2 0 0] [ 2 0 0 0 4 2 2 -1 1 0 -1 1 1 0 -1 1 0 -1 1 -1 1 2] [ 2 2 -1 -1 2 6 1 -3 1 -2 -2 1 -2 1 -1 1 1 -1 0 -1 1 2] [ 1 0 0 0 2 1 4 -2 -1 0 -2 -1 2 0 1 2 0 -2 2 1 2 1] [-1 -1 2 -1 -1 -3 -2 6 1 1 1 1 1 -2 -1 -2 1 -1 0 -1 -2 -1] [ 1 -1 -1 1 1 1 -1 1 4 -1 0 3 -1 1 -1 -1 1 -1 -1 0 -2 1] [-1 -2 2 0 0 -2 0 1 -1 4 1 0 1 -1 1 0 1 -1 0 1 1 -1] [-2 -1 0 0 -1 -2 -2 1 0 1 4 1 0 0 0 -1 -1 1 -1 -1 -1 -1] [-1 -2 0 2 1 1 -1 1 3 0 1 6 -1 0 -2 -1 1 0 -1 0 0 1] [ 0 -1 1 0 1 -2 2 1 -1 1 0 -1 4 0 1 1 -1 -2 2 1 0 0] [ 1 0 -1 1 0 1 0 -2 1 -1 0 0 0 4 0 1 0 -1 -1 2 -1 0] [ 0 0 0 -1 -1 -1 1 -1 -1 1 0 -2 1 0 4 0 -1 -1 0 1 0 0] [-1 1 2 0 1 1 2 -2 -1 0 -1 -1 1 1 0 6 0 -1 1 2 3 0] [ 0 -1 1 0 0 1 0 1 1 1 -1 1 -1 0 -1 0 4 -2 0 1 0 -1] [-1 1 -1 1 -1 -1 -2 -1 -1 -1 1 0 -2 -1 -1 -1 -2 6 -1 -1 1 0] [ 0 -1 0 0 1 0 2 0 -1 0 -1 -1 2 -1 0 1 0 -1 4 0 1 0] [-1 -2 1 2 -1 -1 1 -1 0 1 -1 0 1 2 1 2 1 -1 0 6 2 -1] [-1 0 2 0 1 1 2 -2 -2 1 -1 0 0 -1 0 3 0 1 1 2 6 0] [ 2 1 0 0 2 2 1 -1 1 -1 -1 1 0 0 0 0 -1 0 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 581. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 -2 0 1 1 0 -1 -1 0 0 1 1 2 1 -2 1 0] [ 2 4 -2 -1 -1 0 -2 1 1 1 0 0 -1 0 1 1 1 1 0 -2 1 1] [-2 -2 4 1 2 -1 2 -1 0 -1 1 0 0 0 0 0 0 -2 -1 2 -2 0] [ 0 -1 1 4 2 1 1 -2 -1 1 -1 1 -1 1 1 -1 1 1 -1 1 0 1] [-1 -1 2 2 4 1 1 -2 0 1 -1 0 0 0 0 0 0 -1 -2 1 -1 0] [ 1 0 -1 1 1 4 -1 0 1 2 -2 0 1 -1 0 1 -1 1 0 -1 0 0] [-2 -2 2 1 1 -1 4 0 -2 -2 0 0 0 0 0 -2 0 -2 -1 2 0 0] [ 0 1 -1 -2 -2 0 0 4 1 0 1 0 1 0 -1 1 0 -1 0 -1 0 -1] [ 1 1 0 -1 0 1 -2 1 4 1 0 0 0 0 -1 2 -1 0 1 -1 -1 0] [ 1 1 -1 1 1 2 -2 0 1 4 0 0 0 0 0 1 0 1 -1 -1 0 0] [ 0 0 1 -1 -1 -2 0 1 0 0 4 0 0 1 0 1 1 -1 0 0 0 0] [-1 0 0 1 0 0 0 0 0 0 0 4 1 0 1 0 -1 1 -1 0 -1 2] [-1 -1 0 -1 0 1 0 1 0 0 0 1 4 0 0 1 -1 0 0 -1 -1 -1] [ 0 0 0 1 0 -1 0 0 0 0 1 0 0 4 1 0 2 0 1 0 1 0] [ 0 1 0 1 0 0 0 -1 -1 0 0 1 0 1 4 -1 0 1 0 -1 1 2] [ 1 1 0 -1 0 1 -2 1 2 1 1 0 1 0 -1 4 1 0 0 -1 -1 0] [ 1 1 0 1 0 -1 0 0 -1 0 1 -1 -1 2 0 1 4 0 0 0 1 0] [ 2 1 -2 1 -1 1 -2 -1 0 1 -1 1 0 0 1 0 0 4 1 -1 1 1] [ 1 0 -1 -1 -2 0 -1 0 1 -1 0 -1 0 1 0 0 0 1 4 -1 1 0] [-2 -2 2 1 1 -1 2 -1 -1 -1 0 0 -1 0 -1 -1 0 -1 -1 4 0 0] [ 1 1 -2 0 -1 0 0 0 -1 0 0 -1 -1 1 1 -1 1 1 1 0 4 0] [ 0 1 0 1 0 0 0 -1 0 0 0 2 -1 0 2 0 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 582. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 -2 -2 1 -2 0 -2 -1 1 -2 -1 -1 1 1 0 -2 -2 1 1] [ 2 4 -2 -1 -2 -1 -1 -1 -1 -2 -1 0 0 -1 -2 1 1 -1 -2 -2 1 1] [-2 -2 4 2 2 1 1 2 0 2 2 -1 0 1 0 -1 -1 0 1 2 -1 0] [-1 -1 2 4 1 -1 2 1 0 1 1 1 0 2 0 1 1 0 -1 1 1 0] [-2 -2 2 1 4 2 -1 2 -1 2 1 -1 0 1 0 -1 0 1 0 1 -2 -1] [-2 -1 1 -1 2 6 -3 1 1 1 0 -1 1 -1 1 0 -2 1 2 1 -3 0] [ 1 -1 1 2 -1 -3 6 1 1 1 0 2 -2 2 1 0 1 1 -1 1 3 0] [-2 -1 2 1 2 1 1 4 -1 2 0 0 0 1 0 -1 0 1 1 1 -1 -1] [ 0 -1 0 0 -1 1 1 -1 4 0 0 1 -1 0 2 1 0 0 0 0 0 0] [-2 -2 2 1 2 1 1 2 0 4 0 0 0 2 0 0 -1 0 1 2 -1 0] [-1 -1 2 1 1 0 0 0 0 0 4 -1 0 0 0 -2 0 0 0 1 -1 -1] [ 1 0 -1 1 -1 -1 2 0 1 0 -1 4 0 0 0 2 0 1 -1 0 2 1] [-2 0 0 0 0 1 -2 0 -1 0 0 0 4 0 0 0 -1 -1 2 1 0 0] [-1 -1 1 2 1 -1 2 1 0 2 0 0 0 4 0 0 1 0 -1 1 1 0] [-1 -2 0 0 0 1 1 0 2 0 0 0 0 0 4 -1 0 1 2 1 0 -2] [ 1 1 -1 1 -1 0 0 -1 1 0 -2 2 0 0 -1 4 0 -1 -1 -1 1 2] [ 1 1 -1 1 0 -2 1 0 0 -1 0 0 -1 1 0 0 4 0 -2 -1 1 -1] [ 0 -1 0 0 1 1 1 1 0 0 0 1 -1 0 1 -1 0 4 -1 1 1 0] [-2 -2 1 -1 0 2 -1 1 0 1 0 -1 2 -1 2 -1 -2 -1 6 1 -2 -1] [-2 -2 2 1 1 1 1 1 0 2 1 0 1 1 1 -1 -1 1 1 4 1 0] [ 1 1 -1 1 -2 -3 3 -1 0 -1 -1 2 0 1 0 1 1 1 -2 1 6 1] [ 1 1 0 0 -1 0 0 -1 0 0 -1 1 0 0 -2 2 -1 0 -1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 583. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 -1 0 1 -1 2 -1 -1 -1 -1 -1 0 0 1 0 0 1] [ 2 4 -2 -1 -1 0 -1 0 -1 1 1 -2 0 -1 -1 1 -1 -1 1 1 -1 2] [-2 -2 4 1 2 1 0 1 0 0 0 1 0 2 1 0 1 0 -2 0 0 -2] [ 0 -1 1 4 2 -1 -1 -1 2 -2 0 2 -2 -1 2 1 2 1 -1 -1 1 -1] [-1 -1 2 2 4 -1 0 -1 0 0 0 2 0 1 2 0 2 0 -1 0 0 -1] [ 1 0 1 -1 -1 6 -1 0 0 0 3 0 0 2 -2 -2 1 1 -2 -1 -1 -1] [-1 -1 0 -1 0 -1 4 -1 0 0 -1 1 1 0 1 0 0 -1 0 1 1 1] [ 0 0 1 -1 -1 0 -1 4 0 1 0 -2 0 1 -1 0 -2 0 0 0 -1 -1] [ 1 -1 0 2 0 0 0 0 4 -2 1 0 -2 0 1 0 1 0 -1 0 0 -1] [-1 1 0 -2 0 0 0 1 -2 4 0 -2 1 1 -1 1 -1 0 1 0 -2 0] [ 2 1 0 0 0 3 -1 0 1 0 4 0 -1 1 -1 -1 1 0 -1 0 -1 0] [-1 -2 1 2 2 0 1 -2 0 -2 0 6 -1 0 2 -1 3 0 -1 0 1 0] [-1 0 0 -2 0 0 1 0 -2 1 -1 -1 4 1 -1 -1 -1 -1 1 1 0 0] [-1 -1 2 -1 1 2 0 1 0 1 1 0 1 4 0 -1 0 0 -1 0 -1 -2] [-1 -1 1 2 2 -2 1 -1 1 -1 -1 2 -1 0 4 1 1 -1 -1 0 1 0] [-1 1 0 1 0 -2 0 0 0 1 -1 -1 -1 -1 1 4 0 0 0 0 0 1] [ 0 -1 1 2 2 1 0 -2 1 -1 1 3 -1 0 1 0 4 0 -1 0 0 0] [ 0 -1 0 1 0 1 -1 0 0 0 0 0 -1 0 -1 0 0 4 0 -2 1 -1] [ 1 1 -2 -1 -1 -2 0 0 -1 1 -1 -1 1 -1 -1 0 -1 0 4 0 0 1] [ 0 1 0 -1 0 -1 1 0 0 0 0 0 1 0 0 0 0 -2 0 4 0 1] [ 0 -1 0 1 0 -1 1 -1 0 -2 -1 1 0 -1 1 0 0 1 0 0 4 0] [ 1 2 -2 -1 -1 -1 1 -1 -1 0 0 0 0 -2 0 1 0 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 584. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -2 2 -2 2 1 1 1 -2 1 -1 2 0 -1 -1 1 1 -2 0 -2] [-1 4 0 1 -2 1 -2 1 0 -1 2 1 -1 -2 0 2 -1 -2 1 -1 0 -1] [ 2 0 4 -1 2 -2 0 2 0 0 -2 0 -1 1 1 -1 -1 1 0 -1 -1 -1] [-2 1 -1 6 1 1 -2 1 2 -2 -1 0 1 1 -1 2 -2 -2 0 3 1 1] [ 2 -2 2 1 6 -1 1 0 1 0 -3 -1 -1 2 -1 -2 -1 2 -1 0 1 -1] [-2 1 -2 1 -1 4 -2 -1 -1 -1 1 -1 1 -2 0 1 0 -1 -1 0 0 1] [ 2 -2 0 -2 1 -2 4 0 0 2 0 0 0 2 -1 -1 1 2 0 0 1 -1] [ 1 1 2 1 0 -1 0 4 0 0 -1 0 0 1 1 1 -1 0 0 0 -1 -1] [ 1 0 0 2 1 -1 0 0 4 0 -2 1 0 1 0 1 -1 -1 1 0 0 0] [ 1 -1 0 -2 0 -1 2 0 0 4 0 0 -1 0 1 -1 0 2 0 -1 -1 0] [-2 2 -2 -1 -3 1 0 -1 -2 0 6 1 0 -3 -1 0 1 -1 1 -1 1 -1] [ 1 1 0 0 -1 -1 0 0 1 0 1 4 0 1 -1 0 -1 -1 1 0 1 -1] [-1 -1 -1 1 -1 1 0 0 0 -1 0 0 4 0 0 0 1 0 0 1 0 1] [ 2 -2 1 1 2 -2 2 1 1 0 -3 1 0 6 -2 0 -1 1 -1 2 1 0] [ 0 0 1 -1 -1 0 -1 1 0 1 -1 -1 0 -2 4 0 0 0 0 -1 -2 1] [-1 2 -1 2 -2 1 -1 1 1 -1 0 0 0 0 0 4 0 -2 0 1 0 1] [-1 -1 -1 -2 -1 0 1 -1 -1 0 1 -1 1 -1 0 0 4 1 -1 0 0 1] [ 1 -2 1 -2 2 -1 2 0 -1 2 -1 -1 0 1 0 -2 1 4 -1 0 0 0] [ 1 1 0 0 -1 -1 0 0 1 0 1 1 0 -1 0 0 -1 -1 4 -2 0 -1] [-2 -1 -1 3 0 0 0 0 0 -1 -1 0 1 2 -1 1 0 0 -2 6 2 2] [ 0 0 -1 1 1 0 1 -1 0 -1 1 1 0 1 -2 0 0 0 0 2 4 -1] [-2 -1 -1 1 -1 1 -1 -1 0 0 -1 -1 1 0 1 1 1 0 -1 2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 585. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -2 1 1 -1 -1 -2 0 -1 -2 0 -1 -1 2 0 -1 0 -1 2] [-1 4 -1 -1 0 -2 -2 -1 -1 1 0 1 1 1 1 1 -1 -1 0 1 1 -2] [-2 -1 4 -2 2 0 0 1 1 1 -1 1 1 0 -1 0 -1 0 0 0 1 0] [ 2 -1 -2 4 -2 0 2 0 0 -1 0 -1 -1 0 0 0 1 0 0 0 0 2] [-2 0 2 -2 4 -1 -1 0 1 2 0 1 0 1 -1 1 -2 0 0 0 0 0] [ 1 -2 0 0 -1 4 0 0 1 -1 1 0 0 -2 -1 0 1 0 1 0 -1 1] [ 1 -2 0 2 -1 0 4 1 1 -1 -1 0 -1 -1 -1 0 1 1 -1 -1 0 1] [-1 -1 1 0 0 0 1 4 0 1 1 1 1 0 1 1 -1 1 -1 -1 0 1] [-1 -1 1 0 1 1 1 0 4 0 0 1 0 0 -1 1 0 -1 0 1 1 -1] [-2 1 1 -1 2 -1 -1 1 0 4 1 1 0 1 1 1 -1 1 1 -1 0 -1] [ 0 0 -1 0 0 1 -1 1 0 1 4 1 -1 0 1 1 0 1 0 -1 0 0] [-1 1 1 -1 1 0 0 1 1 1 1 4 0 0 -1 2 -1 -1 -1 0 1 0] [-2 1 1 -1 0 0 -1 1 0 0 -1 0 4 -1 1 0 -2 -1 0 1 1 0] [ 0 1 0 0 1 -2 -1 0 0 1 0 0 -1 4 0 0 0 -1 -1 1 1 0] [-1 1 -1 0 -1 -1 -1 1 -1 1 1 -1 1 0 4 -1 0 1 1 -1 0 -2] [-1 1 0 0 1 0 0 1 1 1 1 2 0 0 -1 4 -1 0 0 0 0 0] [ 2 -1 -1 1 -2 1 1 -1 0 -1 0 -1 -2 0 0 -1 4 0 0 0 0 -1] [ 0 -1 0 0 0 0 1 1 -1 1 1 -1 -1 -1 1 0 0 4 1 -2 -1 0] [-1 0 0 0 0 1 -1 -1 0 1 0 -1 0 -1 1 0 0 1 4 -1 -1 -1] [ 0 1 0 0 0 0 -1 -1 1 -1 -1 0 1 1 -1 0 0 -2 -1 4 2 0] [-1 1 1 0 0 -1 0 0 1 0 0 1 1 1 0 0 0 -1 -1 2 4 -1] [ 2 -2 0 2 0 1 1 1 -1 -1 0 0 0 0 -2 0 -1 0 -1 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 586. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 1 -1 -2 -1 1 1 1 -1 1 -1 0 1 1 1 -2 0 0] [-2 4 -1 -1 2 -1 1 2 2 0 0 -2 2 -1 0 0 0 -1 -1 2 1 1] [ 0 -1 4 2 -1 2 -1 -1 -2 -1 -1 -1 1 2 1 -1 -2 2 -1 0 0 1] [ 1 -1 2 4 -1 2 -1 -1 -2 -1 0 0 0 2 0 0 -2 2 0 -1 -1 1] [-2 2 -1 -1 4 -2 0 2 1 0 0 -2 2 -1 0 0 -1 -1 -1 2 0 1] [ 1 -1 2 2 -2 4 0 -1 -2 0 0 1 -1 2 0 0 -1 2 -1 -1 0 1] [-1 1 -1 -1 0 0 4 2 0 -1 1 0 1 -1 1 -1 0 -1 1 1 1 0] [-2 2 -1 -1 2 -1 2 4 1 0 0 -2 2 -2 0 0 -1 -1 -1 2 0 1] [-1 2 -2 -2 1 -2 0 1 4 1 0 0 1 -2 -1 0 2 -1 0 0 1 -1] [ 1 0 -1 -1 0 0 -1 0 1 4 -1 1 0 0 0 0 1 1 -1 -1 -1 1] [ 1 0 -1 0 0 0 1 0 0 -1 4 1 -1 0 -1 -1 1 -1 1 0 0 0] [ 1 -2 -1 0 -2 1 0 -2 0 1 1 6 -2 1 1 1 2 1 1 -2 -1 -1] [-1 2 1 0 2 -1 1 2 1 0 -1 -2 6 -1 2 -1 -1 0 0 2 1 2] [ 1 -1 2 2 -1 2 -1 -2 -2 0 0 1 -1 4 0 0 -1 2 -1 -1 0 1] [-1 0 1 0 0 0 1 0 -1 0 -1 1 2 0 4 -1 -1 0 1 1 -1 1] [ 0 0 -1 0 0 0 -1 0 0 0 -1 1 -1 0 -1 4 1 0 -1 0 0 0] [ 1 0 -2 -2 -1 -1 0 -1 2 1 1 2 -1 -1 -1 1 4 -1 1 -1 1 -1] [ 1 -1 2 2 -1 2 -1 -1 -1 1 -1 1 0 2 0 0 -1 4 -1 -1 0 1] [ 1 -1 -1 0 -1 -1 1 -1 0 -1 1 1 0 -1 1 -1 1 -1 4 -1 0 -1] [-2 2 0 -1 2 -1 1 2 0 -1 0 -2 2 -1 1 0 -1 -1 -1 4 1 1] [ 0 1 0 -1 0 0 1 0 1 -1 0 -1 1 0 -1 0 1 0 0 1 4 -1] [ 0 1 1 1 1 1 0 1 -1 1 0 -1 2 1 1 0 -1 1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 587. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 0 -1 -1 1 0 2 0 -1 1 -1 -2 -1 -1 0 1 0 1 0] [ 0 4 2 -1 2 0 0 1 -2 -1 0 -2 1 -1 1 1 1 0 -1 0 -1 2] [ 0 2 4 0 2 0 1 1 0 -1 1 -1 0 0 2 0 2 1 -1 1 -1 1] [ 2 -1 0 4 0 0 -1 1 1 1 -1 0 0 1 -1 0 -1 0 0 0 2 0] [ 0 2 2 0 4 1 1 0 0 -2 0 -1 -1 1 0 1 0 -1 -1 -1 0 1] [-1 0 0 0 1 4 -1 1 1 -1 1 1 0 0 -1 2 1 -2 0 1 0 0] [-1 0 1 -1 1 -1 4 0 -1 -2 0 1 -1 0 2 0 1 1 -1 -1 0 1] [ 1 1 1 1 0 1 0 4 0 1 0 0 2 -1 1 1 1 0 -1 1 1 1] [ 0 -2 0 1 0 1 -1 0 4 0 0 1 -1 1 0 0 -1 -1 0 1 1 -1] [ 2 -1 -1 1 -2 -1 -2 1 0 6 1 0 2 -1 0 0 -1 1 0 0 1 0] [ 0 0 1 -1 0 1 0 0 0 1 4 0 1 -1 0 0 2 1 1 0 -1 0] [-1 -2 -1 0 -1 1 1 0 1 0 0 4 -1 0 0 1 0 -1 -1 0 1 0] [ 1 1 0 0 -1 0 -1 2 -1 2 1 -1 4 -2 1 0 1 0 1 1 0 1] [-1 -1 0 1 1 0 0 -1 1 -1 -1 0 -2 4 -1 0 -1 0 -1 -1 1 -1] [-2 1 2 -1 0 -1 2 1 0 0 0 0 1 -1 6 0 1 1 -1 1 -1 2] [-1 1 0 0 1 2 0 1 0 0 0 1 0 0 0 4 1 -1 -2 0 1 2] [-1 1 2 -1 0 1 1 1 -1 -1 2 0 1 -1 1 1 4 1 0 1 -1 1] [ 0 0 1 0 -1 -2 1 0 -1 1 1 -1 0 0 1 -1 1 4 0 0 0 0] [ 1 -1 -1 0 -1 0 -1 -1 0 0 1 -1 1 -1 -1 -2 0 0 4 0 -1 -1] [ 0 0 1 0 -1 1 -1 1 1 0 0 0 1 -1 1 0 1 0 0 4 0 0] [ 1 -1 -1 2 0 0 0 1 1 1 -1 1 0 1 -1 1 -1 0 -1 0 4 0] [ 0 2 1 0 1 0 1 1 -1 0 0 0 1 -1 2 2 1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 588. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 1 -1 1 -1 1 1 -1 -1 0 -2 0 -1 1 -1 1 -2 0 0] [ 2 4 -1 -1 -1 -2 0 1 1 1 0 -1 0 -2 0 0 1 0 0 -2 0 0] [-2 -1 4 -2 1 2 -2 1 -2 0 2 1 1 1 1 2 0 1 1 1 -1 0] [ 1 -1 -2 6 2 1 3 -3 1 0 -3 -2 0 1 1 -1 -2 -2 -1 1 -1 2] [ 1 -1 1 2 6 3 -1 -3 -2 -1 -1 -2 0 1 1 2 1 1 1 1 -1 2] [-1 -2 2 1 3 6 -2 -3 -1 1 1 -1 0 2 2 1 -1 2 2 2 -2 1] [ 1 0 -2 3 -1 -2 6 -1 1 -1 -2 0 1 0 1 -1 -2 -2 -1 0 -1 1] [-1 1 1 -3 -3 -3 -1 6 -1 1 1 1 -1 -1 -1 0 0 -1 0 -1 1 -1] [ 1 1 -2 1 -2 -1 1 -1 4 0 0 0 1 -1 0 -1 -1 -1 0 -1 0 0] [ 1 1 0 0 -1 1 -1 1 0 4 1 0 -1 0 1 -1 0 0 1 0 -1 0] [-1 0 2 -3 -1 1 -2 1 0 1 4 1 1 0 1 1 1 1 1 0 -1 0] [-1 -1 1 -2 -2 -1 0 1 0 0 1 4 1 0 -1 -1 0 0 0 0 1 -2] [ 0 0 1 0 0 0 1 -1 1 -1 1 1 4 -1 1 0 0 0 1 -1 -1 0] [-2 -2 1 1 1 2 0 -1 -1 0 0 0 -1 4 0 1 -1 1 -1 2 -1 1] [ 0 0 1 1 1 2 1 -1 0 1 1 -1 1 0 4 1 -1 0 1 1 -2 2] [-1 0 2 -1 2 1 -1 0 -1 -1 1 -1 0 1 1 4 1 1 0 1 -1 2] [ 1 1 0 -2 1 -1 -2 0 -1 0 1 0 0 -1 -1 1 4 1 0 -1 1 0] [-1 0 1 -2 1 2 -2 -1 -1 0 1 0 0 1 0 1 1 4 1 1 0 0] [ 1 0 1 -1 1 2 -1 0 0 1 1 0 1 -1 1 0 0 1 4 -1 -1 0] [-2 -2 1 1 1 2 0 -1 -1 0 0 0 -1 2 1 1 -1 1 -1 4 0 1] [ 0 0 -1 -1 -1 -2 -1 1 0 -1 -1 1 -1 -1 -2 -1 1 0 -1 0 4 -2] [ 0 0 0 2 2 1 1 -1 0 0 0 -2 0 1 2 2 0 0 0 1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 589. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 1 2 1 -2 1 2 0 -1 -2 -1 2 -1 0 2 -2 0 0 0 1] [ 0 6 -2 0 0 2 0 3 1 -3 0 0 2 -1 -2 -2 1 -3 3 -1 0 1] [-2 -2 6 0 -1 -2 1 -2 0 3 -1 1 0 -1 2 0 -1 0 -1 -1 1 1] [ 1 0 0 4 0 0 0 0 2 2 -1 0 -1 1 -1 1 -1 -2 1 1 1 0] [ 2 0 -1 0 4 0 -2 1 1 0 1 -2 0 1 -1 1 1 -1 -1 -1 -1 0] [ 1 2 -2 0 0 4 -1 2 1 -1 -1 -1 0 1 0 -1 2 -1 1 1 -1 1] [-2 0 1 0 -2 -1 4 -2 0 -1 0 2 1 -2 1 -1 -2 1 1 0 0 0] [ 1 3 -2 0 1 2 -2 4 0 -1 0 -1 1 1 -2 -1 1 -2 1 0 0 0] [ 2 1 0 2 1 1 0 0 4 0 -1 -1 -1 1 0 0 1 -3 1 0 0 1] [ 0 -3 3 2 0 -1 -1 -1 0 6 -1 0 -2 1 0 2 -1 1 -2 0 1 0] [-1 0 -1 -1 1 -1 0 0 -1 -1 4 1 1 0 -1 1 -1 1 -1 -1 0 -2] [-2 0 1 0 -2 -1 2 -1 -1 0 1 4 0 -2 0 0 -2 1 0 -1 0 -1] [-1 2 0 -1 0 0 1 1 -1 -2 1 0 4 -1 0 -2 0 0 1 0 1 1] [ 2 -1 -1 1 1 1 -2 1 1 1 0 -2 -1 4 -1 1 1 -1 -1 1 1 0] [-1 -2 2 -1 -1 0 1 -2 0 0 -1 0 0 -1 4 -1 0 1 0 1 -1 1] [ 0 -2 0 1 1 -1 -1 -1 0 2 1 0 -2 1 -1 4 0 1 -2 0 0 -1] [ 2 1 -1 -1 1 2 -2 1 1 -1 -1 -2 0 1 0 0 4 -1 0 0 0 2] [-2 -3 0 -2 -1 -1 1 -2 -3 1 1 1 0 -1 1 1 -1 6 -2 1 0 -1] [ 0 3 -1 1 -1 1 1 1 1 -2 -1 0 1 -1 0 -2 0 -2 4 0 0 1] [ 0 -1 -1 1 -1 1 0 0 0 0 -1 -1 0 1 1 0 0 1 0 4 1 0] [ 0 0 1 1 -1 -1 0 0 0 1 0 0 1 1 -1 0 0 0 0 1 4 0] [ 1 1 1 0 0 1 0 0 1 0 -2 -1 1 0 1 -1 2 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 590. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 0 -1 0 1 2 -1 1 1 1 -2 -1 -1 1 -1 -1 2 2] [ 0 4 0 0 0 2 -1 2 1 1 1 1 -1 0 -1 -1 -2 0 0 0 1 1] [ 0 0 4 -2 -2 1 0 0 -1 0 1 2 0 1 1 1 -1 0 1 0 2 2] [ 0 0 -2 4 0 -1 -1 1 0 0 -2 -2 0 -1 0 0 0 1 -2 -1 -1 0] [ 1 0 -2 0 4 -1 1 -1 2 0 0 -1 0 1 -1 -2 0 -1 0 1 0 -1] [ 0 2 1 -1 -1 4 -1 2 -1 1 0 2 -1 -1 -1 1 -1 -1 1 1 2 0] [-1 -1 0 -1 1 -1 4 0 0 -2 0 0 -1 1 0 0 2 0 1 0 -1 -2] [ 0 2 0 1 -1 2 0 4 -1 1 -1 1 -1 0 -1 1 -1 1 0 -1 0 0] [ 1 1 -1 0 2 -1 0 -1 4 0 1 -1 0 1 -1 -2 0 -1 0 1 0 0] [ 2 1 0 0 0 1 -2 1 0 4 -1 0 1 1 -2 0 -2 0 -1 0 2 1] [-1 1 1 -2 0 0 0 -1 1 -1 4 1 -1 1 1 0 -1 -1 2 1 -1 1] [ 1 1 2 -2 -1 2 0 1 -1 0 1 6 -2 0 -1 0 -1 0 2 0 1 3] [ 1 -1 0 0 0 -1 -1 -1 0 1 -1 -2 4 0 0 0 0 0 -2 -1 1 0] [ 1 0 1 -1 1 -1 1 0 1 1 1 0 0 4 -1 0 -1 0 0 0 1 1] [-2 -1 1 0 -1 -1 0 -1 -1 -2 1 -1 0 -1 4 0 0 0 1 0 -2 0] [-1 -1 1 0 -2 1 0 1 -2 0 0 0 0 0 0 4 1 0 0 0 0 0] [-1 -2 -1 0 0 -1 2 -1 0 -2 -1 -1 0 -1 0 1 4 0 0 0 -1 -2] [ 1 0 0 1 -1 -1 0 1 -1 0 -1 0 0 0 0 0 0 4 -1 -2 0 1] [-1 0 1 -2 0 1 1 0 0 -1 2 2 -2 0 1 0 0 -1 4 1 -1 0] [-1 0 0 -1 1 1 0 -1 1 0 1 0 -1 0 0 0 0 -2 1 4 1 -1] [ 2 1 2 -1 0 2 -1 0 0 2 -1 1 1 1 -2 0 -1 0 -1 1 6 1] [ 2 1 2 0 -1 0 -2 0 0 1 1 3 0 1 0 0 -2 1 0 -1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 591. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 -1 1 0 -2 1 -2 1 1 1 1 -1 -1 -2 2 1 -1 0] [ 2 4 -2 -1 -1 -2 0 -1 0 0 -1 0 1 0 2 0 -1 0 0 0 -1 0] [-2 -2 4 1 2 2 -1 0 0 0 2 -1 -1 -1 0 1 0 0 -1 -1 1 1] [ 0 -1 1 4 2 2 1 0 -1 -1 -1 1 1 1 -2 1 -1 -1 2 1 -1 2] [-1 -1 2 2 4 1 1 0 0 0 1 1 1 1 0 2 0 0 1 1 -1 2] [-1 -2 2 2 1 4 0 1 0 -1 1 0 0 -1 -2 1 0 0 0 0 0 1] [ 1 0 -1 1 1 0 4 -1 0 0 -1 1 2 1 0 0 1 0 2 1 -2 1] [ 0 -1 0 0 0 1 -1 4 -1 1 0 0 0 1 -2 0 1 0 1 0 0 0] [-2 0 0 -1 0 0 0 -1 4 0 1 0 -1 -1 1 0 0 1 -1 0 1 0] [ 1 0 0 -1 0 -1 0 1 0 4 -1 1 -1 1 1 0 1 -2 2 1 1 1] [-2 -1 2 -1 1 1 -1 0 1 -1 4 -1 -1 -1 1 0 1 2 -3 -1 1 -1] [ 1 0 -1 1 1 0 1 0 0 1 -1 4 0 2 0 1 0 -1 1 2 -1 1] [ 1 1 -1 1 1 0 2 0 -1 -1 -1 0 4 1 0 1 0 0 1 1 -2 1] [ 1 0 -1 1 1 -1 1 1 -1 1 -1 2 1 4 -1 0 0 -1 1 2 -1 1] [ 1 2 0 -2 0 -2 0 -2 1 1 1 0 0 -1 6 -1 -1 0 -1 -1 1 0] [-1 0 1 1 2 1 0 0 0 0 0 1 1 0 -1 4 1 0 0 1 -1 2] [-1 -1 0 -1 0 0 1 1 0 1 1 0 0 0 -1 1 4 1 0 0 0 0] [-2 0 0 -1 0 0 0 0 1 -2 2 -1 0 -1 0 0 1 4 -2 -1 0 -1] [ 2 0 -1 2 1 0 2 1 -1 2 -3 1 1 1 -1 0 0 -2 6 1 -1 2] [ 1 0 -1 1 1 0 1 0 0 1 -1 2 1 2 -1 1 0 -1 1 4 0 1] [-1 -1 1 -1 -1 0 -2 0 1 1 1 -1 -2 -1 1 -1 0 0 -1 0 4 -1] [ 0 0 1 2 2 1 1 0 0 1 -1 1 1 1 0 2 0 -1 2 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 592. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 1 -2 -1 0 -2 2 -2 -1 2 -1 0 0 -1 0 1 1 0] [-2 4 0 0 1 -1 2 1 1 2 0 0 1 0 0 1 -1 1 0 -1 -2 0] [-2 0 6 -2 -3 -2 1 -1 -1 2 -1 2 0 -1 3 0 1 2 -1 -2 1 -1] [ 1 0 -2 6 2 1 1 2 2 1 3 -3 2 -1 -2 -2 2 0 2 0 -2 -1] [ 1 1 -3 2 6 -1 0 0 3 0 2 0 0 1 -1 1 -1 1 0 -1 -3 2] [ 1 -1 -2 1 -1 4 -1 1 0 -1 0 -1 1 0 -1 -1 1 -2 1 2 0 0] [-2 2 1 1 0 -1 4 2 0 2 0 1 1 -2 1 -1 1 1 0 -1 -2 0] [-1 1 -1 2 0 1 2 4 0 1 0 -1 2 -1 -1 -2 2 -1 0 1 -1 0] [ 0 1 -1 2 3 0 0 0 4 1 1 0 1 0 0 1 0 1 1 -1 -3 1] [-2 2 2 1 0 -1 2 1 1 4 0 1 1 -1 1 0 1 2 1 -2 -2 0] [ 2 0 -1 3 2 0 0 0 1 0 4 -2 1 1 -1 -1 0 0 1 0 -1 0] [-2 0 2 -3 0 -1 1 -1 0 1 -2 6 -1 -1 2 1 -1 1 0 -1 0 1] [-1 1 0 2 0 1 1 2 1 1 1 -1 4 -1 -1 -1 1 -1 0 0 -1 0] [ 2 0 -1 -1 1 0 -2 -1 0 -1 1 -1 -1 4 0 1 -1 -1 0 1 1 1] [-1 0 3 -2 -1 -1 1 -1 0 1 -1 2 -1 0 4 0 0 1 0 -1 -1 1] [ 0 1 0 -2 1 -1 -1 -2 1 0 -1 1 -1 1 0 4 -1 1 -1 -1 0 1] [ 0 -1 1 2 -1 1 1 2 0 1 0 -1 1 -1 0 -1 4 0 0 0 0 0] [-1 1 2 0 1 -2 1 -1 1 2 0 1 -1 -1 1 1 0 4 0 -2 -1 0] [ 0 0 -1 2 0 1 0 0 1 1 1 0 0 0 0 -1 0 0 4 0 -1 0] [ 1 -1 -2 0 -1 2 -1 1 -1 -2 0 -1 0 1 -1 -1 0 -2 0 4 2 0] [ 1 -2 1 -2 -3 0 -2 -1 -3 -2 -1 0 -1 1 -1 0 0 -1 -1 2 6 -2] [ 0 0 -1 -1 2 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 593. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 2 -1 2 -1 1 2 0 1 -1 -1 1 0 2 1 2 -1 -1] [-2 4 1 1 2 -2 1 -2 1 -1 -1 -1 -1 -1 2 -1 -1 0 -2 -2 1 -1] [ 0 1 4 2 2 -1 -1 -1 -1 -2 -1 0 -1 -2 2 -1 -2 0 0 0 1 -1] [ 1 1 2 6 -1 0 -2 0 1 1 -1 -1 -1 0 -1 0 0 0 -1 1 -1 0] [-2 2 2 -1 6 -3 1 -3 1 -2 -2 0 0 -2 1 -2 -1 -1 -1 -1 1 -1] [ 2 -2 -1 0 -3 4 0 2 -1 2 1 1 0 1 -1 2 0 1 2 1 -1 1] [-1 1 -1 -2 1 0 4 -1 1 -1 1 -1 0 -1 1 -1 0 0 0 -1 1 -1] [ 2 -2 -1 0 -3 2 -1 4 -2 1 1 0 0 1 -1 1 0 1 2 1 -1 1] [-1 1 -1 1 1 -1 1 -2 4 1 -1 -1 1 1 -1 -1 1 -1 -2 0 -1 0] [ 1 -1 -2 1 -2 2 -1 1 1 4 0 1 1 2 -2 2 1 0 0 1 -2 1] [ 2 -1 -1 -1 -2 1 1 1 -1 0 4 0 0 -1 0 0 1 1 1 1 1 -1] [ 0 -1 0 -1 0 1 -1 0 -1 1 0 4 -1 1 0 1 -1 0 1 0 -1 1] [ 1 -1 -1 -1 0 0 0 0 1 1 0 -1 4 0 -1 0 1 1 0 0 -1 -1] [-1 -1 -2 0 -2 1 -1 1 1 2 -1 1 0 6 -3 2 2 -2 0 1 -2 2] [-1 2 2 -1 1 -1 1 -1 -1 -2 0 0 -1 -3 6 -1 -3 0 -1 -2 2 -1] [ 1 -1 -1 0 -2 2 -1 1 -1 2 0 1 0 2 -1 4 1 0 0 1 -1 1] [ 0 -1 -2 0 -1 0 0 0 1 1 1 -1 1 2 -3 1 4 -1 0 1 0 1] [ 2 0 0 0 -1 1 0 1 -1 0 1 0 1 -2 0 0 -1 4 1 0 0 -1] [ 1 -2 0 -1 -1 2 0 2 -2 0 1 1 0 0 -1 0 0 1 4 0 0 1] [ 2 -2 0 1 -1 1 -1 1 0 1 1 0 0 1 -2 1 1 0 0 4 0 0] [-1 1 1 -1 1 -1 1 -1 -1 -2 1 -1 -1 -2 2 -1 0 0 0 0 4 -1] [-1 -1 -1 0 -1 1 -1 1 0 1 -1 1 -1 2 -1 1 1 -1 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 594. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 0 1 -1 -1 0 0 2 1 -1 0 2 0 -2 1 1 1 -1] [-2 4 -2 2 2 1 0 2 0 1 0 -2 -1 1 1 -1 -1 2 0 -1 -1 1] [ 2 -2 4 -2 0 -1 0 -2 1 -1 -1 1 1 0 -1 1 -1 -2 1 1 0 -1] [-2 2 -2 4 1 1 -1 1 0 0 1 -2 0 0 0 -2 -1 1 0 0 -1 1] [-2 2 0 1 4 -1 0 0 2 1 0 -1 0 0 -1 -2 -1 2 0 0 -2 0] [ 0 1 -1 1 -1 4 1 0 -1 1 -1 -2 0 1 2 0 0 -1 -1 0 0 0] [ 1 0 0 -1 0 1 4 -1 -1 0 -1 -1 0 0 1 1 1 0 0 0 0 -1] [-1 2 -2 1 0 0 -1 4 -1 1 1 0 0 0 0 0 0 1 -1 0 0 1] [-1 0 1 0 2 -1 -1 -1 4 1 0 1 1 -1 0 -1 0 1 0 1 0 -1] [ 0 1 -1 0 1 1 0 1 1 4 1 1 1 0 0 0 1 1 -1 1 0 -1] [ 0 0 -1 1 0 -1 -1 1 0 1 4 2 1 -1 -1 -1 1 1 -1 1 1 1] [ 2 -2 1 -2 -1 -2 -1 0 1 1 2 6 2 -1 -1 0 1 0 0 2 2 -1] [ 1 -1 1 0 0 0 0 0 1 1 1 2 4 0 0 0 0 0 -1 2 0 0] [-1 1 0 0 0 1 0 0 -1 0 -1 -1 0 4 0 0 -1 0 0 -1 0 0] [ 0 1 -1 0 -1 2 1 0 0 0 -1 -1 0 0 4 1 1 0 -1 0 0 0] [ 2 -1 1 -2 -2 0 1 0 -1 0 -1 0 0 0 1 4 1 -1 0 0 1 -1] [ 0 -1 -1 -1 -1 0 1 0 0 1 1 1 0 -1 1 1 4 0 -2 0 1 -1] [-2 2 -2 1 2 -1 0 1 1 1 1 0 0 0 0 -1 0 4 0 0 0 1] [ 1 0 1 0 0 -1 0 -1 0 -1 -1 0 -1 0 -1 0 -2 0 4 -1 0 0] [ 1 -1 1 0 0 0 0 0 1 1 1 2 2 -1 0 0 0 0 -1 4 1 -1] [ 1 -1 0 -1 -2 0 0 0 0 0 1 2 0 0 0 1 1 0 0 1 4 -1] [-1 1 -1 1 0 0 -1 1 -1 -1 1 -1 0 0 0 -1 -1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 595. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -1 1 1 2 -2 -1 -1 1 0 -2 0 0 -1 -2 -1 2 1 0] [-1 4 0 0 2 0 -1 1 1 2 0 -1 1 1 -1 0 -1 1 1 0 -2 1] [-2 0 4 -2 -1 -1 0 -1 1 -1 1 1 0 1 0 1 1 1 0 -2 1 1] [ 2 0 -2 4 -1 2 -1 2 -2 0 -1 1 -1 0 1 -1 -2 0 -1 2 1 0] [-1 2 -1 -1 6 -2 -2 1 3 3 -1 -3 0 1 0 -2 1 1 2 -1 -1 1] [ 1 0 -1 2 -2 4 1 1 -1 0 1 2 1 0 -1 1 -1 0 -2 1 -1 0] [ 1 -1 0 -1 -2 1 4 0 -1 -2 0 1 1 -2 -2 2 1 -2 -1 0 0 -1] [ 2 1 -1 2 1 1 0 4 -1 0 -1 1 0 -1 0 -1 -1 0 -1 1 1 1] [-2 1 1 -2 3 -1 -1 -1 6 3 1 0 0 2 0 -1 2 2 1 -2 -2 2] [-1 2 -1 0 3 0 -2 0 3 6 -1 0 1 2 0 -1 1 2 2 -1 -2 1] [-1 0 1 -1 -1 1 0 -1 1 -1 4 0 1 0 -1 0 0 1 -1 -1 -2 0] [ 1 -1 1 1 -3 2 1 1 0 0 0 6 1 0 0 1 1 0 -1 0 0 0] [ 0 1 0 -1 0 1 1 0 0 1 1 1 4 -1 -1 1 1 -1 1 0 -2 0] [-2 1 1 0 1 0 -2 -1 2 2 0 0 -1 4 0 0 0 2 0 -1 0 1] [ 0 -1 0 1 0 -1 -2 0 0 0 -1 0 -1 0 4 -2 -1 0 1 1 1 1] [ 0 0 1 -1 -2 1 2 -1 -1 -1 0 1 1 0 -2 4 1 -1 -1 0 0 0] [-1 -1 1 -2 1 -1 1 -1 2 1 0 1 1 0 -1 1 4 0 1 -2 0 0] [-2 1 1 0 1 0 -2 0 2 2 1 0 -1 2 0 -1 0 4 0 -1 0 1] [-1 1 0 -1 2 -2 -1 -1 1 2 -1 -1 1 0 1 -1 1 0 4 -1 -1 0] [ 2 0 -2 2 -1 1 0 1 -2 -1 -1 0 0 -1 1 0 -2 -1 -1 4 1 0] [ 1 -2 1 1 -1 -1 0 1 -2 -2 -2 0 -2 0 1 0 0 0 -1 1 6 0] [ 0 1 1 0 1 0 -1 1 2 1 0 0 0 1 1 0 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 596. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 2 2 -1 2 -1 2 1 0 1 -1 1 -1 -1 -1 2 -1 2 0] [-1 4 0 -1 0 0 1 -1 1 -2 1 -1 1 2 0 -1 -1 -1 -1 -1 0 0] [-2 0 4 1 -2 -2 -1 -1 -1 -2 0 0 -1 -1 -1 0 1 0 -1 0 0 -1] [ 1 -1 1 4 1 1 0 1 0 0 -1 -1 -1 -2 1 1 -1 1 1 1 2 -1] [ 2 0 -2 1 4 2 0 1 1 1 0 0 0 -1 1 1 -2 1 0 -1 1 1] [ 2 0 -2 1 2 4 1 2 0 1 0 -1 0 -1 1 1 -2 1 0 -1 1 0] [-1 1 -1 0 0 1 4 -1 2 -1 0 0 0 0 1 2 0 0 -1 0 -1 -1] [ 2 -1 -1 1 1 2 -1 4 0 1 0 -1 -1 -1 1 0 0 0 1 0 1 1] [-1 1 -1 0 1 0 2 0 4 -1 0 -1 0 0 1 2 0 0 -1 0 -1 1] [ 2 -2 -2 0 1 1 -1 1 -1 4 0 0 0 0 0 -1 -1 0 2 0 0 1] [ 1 1 0 -1 0 0 0 0 0 0 4 0 2 0 1 0 0 -1 0 -1 0 1] [ 0 -1 0 -1 0 -1 0 -1 -1 0 0 4 0 -1 0 1 1 1 0 -1 -1 0] [ 1 1 -1 -1 0 0 0 -1 0 0 2 0 4 1 0 -1 0 0 1 -1 0 0] [-1 2 -1 -2 -1 -1 0 -1 0 0 0 -1 1 6 -2 -1 1 -2 0 2 -1 0] [ 1 0 -1 1 1 1 1 1 1 0 1 0 0 -2 4 1 -1 0 0 0 1 1] [-1 -1 0 1 1 1 2 0 2 -1 0 1 -1 -1 1 6 1 2 -2 1 -1 1] [-1 -1 1 -1 -2 -2 0 0 0 -1 0 1 0 1 -1 1 4 -1 0 1 -1 0] [-1 -1 0 1 1 1 0 0 0 0 -1 1 0 -2 0 2 -1 6 0 1 0 1] [ 2 -1 -1 1 0 0 -1 1 -1 2 0 0 1 0 0 -2 0 0 4 0 1 0] [-1 -1 0 1 -1 -1 0 0 0 0 -1 -1 -1 2 0 1 1 1 0 6 1 0] [ 2 0 0 2 1 1 -1 1 -1 0 0 -1 0 -1 1 -1 -1 0 1 1 4 -1] [ 0 0 -1 -1 1 0 -1 1 1 1 1 0 0 0 1 1 0 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 597. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 1 1 0 1 -1 1 2 1 0 2 -1 2 2 -1 1 1 1] [ 1 4 0 -2 0 2 0 1 0 1 2 1 1 -1 1 -1 2 1 -2 0 2 -1] [-1 0 4 2 0 0 1 -1 -2 0 1 -1 0 1 0 -1 0 0 1 -2 1 0] [-2 -2 2 6 -1 -1 0 0 0 1 -2 -2 0 0 -1 2 -3 -1 2 0 -1 0] [ 1 0 0 -1 4 0 2 -1 -1 0 0 1 1 1 -1 1 -1 -1 1 -1 2 2] [ 1 2 0 -1 0 4 -1 0 0 -1 1 2 1 -1 0 -1 2 2 -1 0 2 -1] [ 1 0 1 0 2 -1 4 0 -1 1 1 0 0 2 1 0 0 0 1 -1 1 2] [ 0 1 -1 0 -1 0 0 4 0 0 1 -1 1 -1 0 1 -1 0 -2 0 1 0] [ 1 0 -2 0 -1 0 -1 0 4 1 -1 1 -1 0 1 0 0 1 -1 2 -2 -1] [-1 1 0 1 0 -1 1 0 1 4 0 0 0 1 0 1 -1 -1 0 1 -1 -1] [ 1 2 1 -2 0 1 1 1 -1 0 4 0 1 0 1 -1 2 1 -1 -1 1 0] [ 2 1 -1 -2 1 2 0 -1 1 0 0 4 1 1 1 -1 1 2 -1 1 1 0] [ 1 1 0 0 1 1 0 1 -1 0 1 1 4 -1 0 1 0 0 -1 0 2 1] [ 0 -1 1 0 1 -1 2 -1 0 1 0 1 -1 4 1 -1 -1 0 1 0 -1 0] [ 2 1 0 -1 -1 0 1 0 1 0 1 1 0 1 4 -2 2 2 -1 1 -1 0] [-1 -1 -1 2 1 -1 0 1 0 1 -1 -1 1 -1 -2 4 -3 -2 1 0 0 1] [ 2 2 0 -3 -1 2 0 -1 0 -1 2 1 0 -1 2 -3 6 2 -1 0 0 -1] [ 2 1 0 -1 -1 2 0 0 1 -1 1 2 0 0 2 -2 2 4 -1 1 1 0] [-1 -2 1 2 1 -1 1 -2 -1 0 -1 -1 -1 1 -1 1 -1 -1 4 -1 -1 1] [ 1 0 -2 0 -1 0 -1 0 2 1 -1 1 0 0 1 0 0 1 -1 4 -1 -1] [ 1 2 1 -1 2 2 1 1 -2 -1 1 1 2 -1 -1 0 0 1 -1 -1 6 1] [ 1 -1 0 0 2 -1 2 0 -1 -1 0 0 1 0 0 1 -1 0 1 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 598. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 1 0 1 1 2 -1 -1 1 2 -1 1 -2 -1 2 0 2 -2 1] [ 2 4 0 -1 0 0 1 1 2 -1 0 2 1 0 0 -1 -2 0 0 2 0 1] [ 0 0 4 1 0 0 1 -2 -1 -2 0 -1 1 0 1 0 1 0 -2 0 0 0] [ 0 -1 1 4 -1 0 0 0 0 1 1 0 1 0 -1 1 2 -1 0 1 -1 -1] [ 1 0 0 -1 4 -1 -1 0 0 -2 -2 0 0 1 1 0 0 2 0 -1 -2 2] [ 0 0 0 0 -1 4 -1 1 -1 -1 -1 0 -1 0 0 0 1 0 1 0 2 -1] [ 1 1 1 0 -1 -1 4 -1 1 -1 0 1 1 -2 1 -1 0 0 -1 1 -1 0] [ 1 1 -2 0 0 1 -1 4 2 0 0 1 -1 0 0 -1 -1 0 2 1 1 0] [ 2 2 -1 0 0 -1 1 2 4 0 0 2 1 0 0 -2 -2 0 1 2 -1 0] [-1 -1 -2 1 -2 -1 -1 0 0 6 1 0 0 1 -1 1 0 -1 1 0 1 -2] [-1 0 0 1 -2 -1 0 0 0 1 4 0 0 -1 -2 1 -1 -2 -1 1 1 -1] [ 1 2 -1 0 0 0 1 1 2 0 0 4 0 0 -1 0 -1 -1 0 1 0 0] [ 2 1 1 1 0 -1 1 -1 1 0 0 0 4 -1 1 -1 0 0 0 2 -2 1] [-1 0 0 0 1 0 -2 0 0 1 -1 0 -1 4 -1 1 0 0 0 -1 1 0] [ 1 0 1 -1 1 0 1 0 0 -1 -2 -1 1 -1 4 -2 0 1 1 0 -1 1] [-2 -1 0 1 0 0 -1 -1 -2 1 1 0 -1 1 -2 4 2 -1 -1 -1 1 0] [-1 -2 1 2 0 1 0 -1 -2 0 -1 -1 0 0 0 2 4 0 0 -1 0 0] [ 2 0 0 -1 2 0 0 0 0 -1 -2 -1 0 0 1 -1 0 4 0 0 -1 1] [ 0 0 -2 0 0 1 -1 2 1 1 -1 0 0 0 1 -1 0 0 4 0 0 0] [ 2 2 0 1 -1 0 1 1 2 0 1 1 2 -1 0 -1 -1 0 0 4 0 0] [-2 0 0 -1 -2 2 -1 1 -1 1 1 0 -2 1 -1 1 0 -1 0 0 6 -2] [ 1 1 0 -1 2 -1 0 0 0 -2 -1 0 1 0 1 0 0 1 0 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 599. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 0 2 -1 0 0 0 0 0 -2 1 1 0 1 0 0 0 0 1] [-2 4 2 -2 -1 -2 2 -1 -1 0 0 1 1 -1 -1 0 -1 -1 0 1 0 1] [-2 2 4 -1 1 -1 0 1 0 0 0 1 1 -1 -1 -1 0 -1 0 1 -1 -1] [ 2 -2 -1 4 0 2 -1 1 0 -1 1 0 -1 1 1 1 2 0 0 0 -1 0] [ 0 -1 1 0 4 1 0 2 2 -1 -1 1 1 -1 0 0 -1 1 1 -1 1 -2] [ 2 -2 -1 2 1 4 -2 0 0 0 1 -1 -1 0 1 1 0 0 0 0 0 0] [-1 2 0 -1 0 -2 4 -1 0 -1 -1 1 1 -1 0 1 -1 0 0 0 1 0] [ 0 -1 1 1 2 0 -1 4 2 0 -1 0 1 1 0 0 0 1 1 -1 -1 -2] [ 0 -1 0 0 2 0 0 2 4 0 -1 1 1 0 1 1 0 2 0 -2 1 -1] [ 0 0 0 -1 -1 0 -1 0 0 4 1 -1 -1 1 1 0 0 -1 1 1 -1 1] [ 0 0 0 1 -1 1 -1 -1 -1 1 4 0 0 1 0 0 0 -1 -1 1 -1 1] [ 0 1 1 0 1 -1 1 0 1 -1 0 4 0 0 -1 -1 1 1 -1 -1 0 0] [-2 1 1 -1 1 -1 1 1 1 -1 0 0 4 -1 0 1 -2 0 -1 0 1 -1] [ 1 -1 -1 1 -1 0 -1 1 0 1 1 0 -1 4 -1 -1 1 0 0 0 -2 0] [ 1 -1 -1 1 0 1 0 0 1 1 0 -1 0 -1 4 2 0 -1 0 0 1 1] [ 0 0 -1 1 0 1 1 0 1 0 0 -1 1 -1 2 4 0 0 0 0 1 1] [ 1 -1 0 2 -1 0 -1 0 0 0 0 1 -2 1 0 0 4 0 0 0 -1 1] [ 0 -1 -1 0 1 0 0 1 2 -1 -1 1 0 0 -1 0 0 4 0 -2 1 -1] [ 0 0 0 0 1 0 0 1 0 1 -1 -1 -1 0 0 0 0 0 4 0 0 0] [ 0 1 1 0 -1 0 0 -1 -2 1 1 -1 0 0 0 0 0 -2 0 4 0 1] [ 0 0 -1 -1 1 0 1 -1 1 -1 -1 0 1 -2 1 1 -1 1 0 0 4 0] [ 1 1 -1 0 -2 0 0 -2 -1 1 1 0 -1 0 1 1 1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 600. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 0 -1 -1 0 0 2 2 0 -1 -1 -2 -1 2 2 1 2 0 0] [ 0 4 2 0 -2 -1 -2 -1 0 1 2 -1 0 1 -1 0 0 0 1 0 0 0] [ 1 2 4 -1 -2 -2 -2 0 0 1 1 -1 0 0 0 1 0 0 1 1 -1 1] [ 1 0 -1 4 1 1 1 1 1 1 2 0 0 0 -1 -1 1 0 1 1 1 -2] [ 0 -2 -2 1 4 0 2 1 1 -1 -1 0 -1 -1 1 -1 1 0 0 0 1 0] [-1 -1 -2 1 0 4 2 0 -1 -1 -1 0 0 0 0 -1 0 0 0 -1 0 0] [-1 -2 -2 1 2 2 4 0 1 -2 -2 0 0 0 1 0 0 0 -1 -1 0 0] [ 0 -1 0 1 1 0 0 4 0 0 1 0 1 0 0 1 -1 -1 1 1 -1 0] [ 0 0 0 1 1 -1 1 0 4 1 -1 0 0 -1 0 0 -1 0 1 0 1 0] [ 2 1 1 1 -1 -1 -2 0 1 4 1 0 0 0 -2 0 0 0 2 2 0 0] [ 2 2 1 2 -1 -1 -2 1 -1 1 6 -1 1 0 -1 0 1 1 1 1 1 -1] [ 0 -1 -1 0 0 0 0 0 0 0 -1 4 1 -1 0 0 -1 1 -1 -1 0 -1] [-1 0 0 0 -1 0 0 1 0 0 1 1 4 0 0 2 -2 -1 -1 -1 0 0] [-1 1 0 0 -1 0 0 0 -1 0 0 -1 0 4 0 1 0 -2 0 1 -1 0] [-2 -1 0 -1 1 0 1 0 0 -2 -1 0 0 0 4 0 -1 -1 0 -1 0 1] [-1 0 1 -1 -1 -1 0 1 0 0 0 0 2 1 0 4 -1 -1 -1 0 -1 1] [ 2 0 0 1 1 0 0 -1 -1 0 1 -1 -2 0 -1 -1 4 1 0 1 1 0] [ 2 0 0 0 0 0 0 -1 0 0 1 1 -1 -2 -1 -1 1 4 0 0 1 0] [ 1 1 1 1 0 0 -1 1 1 2 1 -1 -1 0 0 -1 0 0 4 1 0 1] [ 2 0 1 1 0 -1 -1 1 0 2 1 -1 -1 1 -1 0 1 0 1 4 0 0] [ 0 0 -1 1 1 0 0 -1 1 0 1 0 0 -1 0 -1 1 1 0 0 4 -1] [ 0 0 1 -2 0 0 0 0 0 0 -1 -1 0 0 1 1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 601. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 2 2 -1 2 1 -1 0 1 -2 1 -2 1 0 1 1 1] [ 1 4 2 -2 0 0 0 0 -2 1 0 1 1 -1 1 -1 -1 1 1 2 0 0] [ 2 2 6 1 -1 1 2 0 -3 3 0 2 -1 0 -2 1 -2 -1 2 2 -1 0] [-1 -2 1 6 -2 2 1 1 1 0 -1 2 -2 1 -1 2 1 0 0 -1 -1 0] [-1 0 -1 -2 4 -2 -1 -1 0 -2 0 0 1 0 2 0 1 0 -1 0 -1 1] [ 1 0 1 2 -2 4 2 1 0 1 -1 0 0 0 -2 1 0 0 0 0 0 0] [ 2 0 2 1 -1 2 4 2 0 2 1 0 0 0 -1 2 0 0 0 0 0 0] [ 2 0 0 1 -1 1 2 4 0 0 1 0 0 0 0 2 0 1 0 0 0 0] [-1 -2 -3 1 0 0 0 0 4 -1 0 -1 0 0 0 0 2 1 -1 -2 1 0] [ 2 1 3 0 -2 1 2 0 -1 6 2 0 1 1 -1 0 -1 0 0 2 1 1] [ 1 0 0 -1 0 -1 1 1 0 2 4 -1 1 1 1 0 -1 1 0 0 0 1] [-1 1 2 2 0 0 0 0 -1 0 -1 4 0 -1 0 0 1 0 1 0 -2 -1] [ 0 1 -1 -2 1 0 0 0 0 1 1 0 4 -1 2 -1 1 0 0 1 0 1] [ 1 -1 0 1 0 0 0 0 0 1 1 -1 -1 4 -1 1 -1 1 -2 0 1 2] [-2 1 -2 -1 2 -2 -1 0 0 -1 1 0 2 -1 6 -1 1 0 0 1 -1 1] [ 1 -1 1 2 0 1 2 2 0 0 0 0 -1 1 -1 4 1 0 -1 0 0 1] [-2 -1 -2 1 1 0 0 0 2 -1 -1 1 1 -1 1 1 4 0 -1 -1 0 0] [ 1 1 -1 0 0 0 0 1 1 0 1 0 0 1 0 0 0 4 -1 0 1 1] [ 0 1 2 0 -1 0 0 0 -1 0 0 1 0 -2 0 -1 -1 -1 4 0 -1 -1] [ 1 2 2 -1 0 0 0 0 -2 2 0 0 1 0 1 0 -1 0 0 4 1 1] [ 1 0 -1 -1 -1 0 0 0 1 1 0 -2 0 1 -1 0 0 1 -1 1 4 0] [ 1 0 0 0 1 0 0 0 0 1 1 -1 1 2 1 1 0 1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 602. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 0 0 1 2 2 1 1 2 -1 1 -1 -1 -1 -1 1 1 1] [ 1 4 1 -2 -1 1 -1 1 2 1 1 2 1 -2 -1 -1 -2 -2 0 2 1 1] [ 2 1 4 -1 1 0 0 2 1 0 0 1 0 -2 0 -1 0 -1 0 1 1 1] [-1 -2 -1 4 0 -1 1 -1 -2 -2 0 -1 -1 1 1 2 2 2 1 -2 -1 0] [ 2 -1 1 0 6 -1 2 2 1 -1 -1 1 0 -2 0 1 0 0 -2 0 1 -1] [ 0 1 0 -1 -1 4 -2 0 0 0 2 0 1 1 -1 -1 -2 1 -1 -1 1 -1] [ 0 -1 0 1 2 -2 4 0 0 -2 -2 1 -1 -2 1 1 2 0 0 0 -1 0] [ 1 1 2 -1 2 0 0 4 2 -1 0 1 -1 -2 0 -1 -1 -1 0 1 2 0] [ 2 2 1 -2 1 0 0 2 4 1 0 2 1 -1 0 -2 -2 -2 0 2 1 0] [ 2 1 0 -2 -1 0 -2 -1 1 6 0 0 2 2 1 -1 -1 -1 0 1 1 0] [ 1 1 0 0 -1 2 -2 0 0 0 4 0 1 0 -1 0 -2 0 -1 0 1 0] [ 1 2 1 -1 1 0 1 1 2 0 0 4 0 -2 -1 0 -1 -2 -1 1 1 0] [ 2 1 0 -1 0 1 -1 -1 1 2 1 0 4 0 1 -1 -1 -1 0 1 0 1] [-1 -2 -2 1 -2 1 -2 -2 -1 2 0 -2 0 6 0 0 0 2 0 -2 0 -1] [ 1 -1 0 1 0 -1 1 0 0 1 -1 -1 1 0 4 -1 1 0 2 0 -1 1] [-1 -1 -1 2 1 -1 1 -1 -2 -1 0 0 -1 0 -1 4 2 1 -1 -1 0 0] [-1 -2 0 2 0 -2 2 -1 -2 -1 -2 -1 -1 0 1 2 4 1 1 -1 -1 1] [-1 -2 -1 2 0 1 0 -1 -2 -1 0 -2 -1 2 0 1 1 4 0 -2 0 -1] [-1 0 0 1 -2 -1 0 0 0 0 -1 -1 0 0 2 -1 1 0 4 0 -1 1] [ 1 2 1 -2 0 -1 0 1 2 1 0 1 1 -2 0 -1 -1 -2 0 4 1 1] [ 1 1 1 -1 1 1 -1 2 1 1 1 1 0 0 -1 0 -1 0 -1 1 4 -1] [ 1 1 1 0 -1 -1 0 0 0 0 0 0 1 -1 1 0 1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 603. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 2 0 1 -2 0 2 1 -1 0 1 1 -1 1 -2 0 2 2 1] [ 1 4 2 -1 -1 -1 -1 0 1 -1 0 0 1 -1 0 0 0 0 -1 0 0 1] [ 1 2 4 -1 -1 -1 0 0 1 0 0 1 1 0 -1 1 -1 -1 0 1 -1 0] [ 0 -1 -1 4 2 2 -1 1 -2 0 1 0 -1 0 0 1 1 0 -1 0 2 1] [ 2 -1 -1 2 6 3 1 -2 0 2 1 -2 1 2 2 -1 0 -1 1 1 1 2] [ 0 -1 -1 2 3 4 0 0 0 0 1 0 0 1 0 0 -1 0 0 0 0 1] [ 1 -1 0 -1 1 0 4 0 0 1 0 0 1 2 0 -2 1 0 2 0 1 0] [-2 0 0 1 -2 0 0 4 -1 -2 0 2 0 0 -2 0 0 1 0 -1 0 -1] [ 0 1 1 -2 0 0 0 -1 4 -1 0 0 1 1 0 0 -1 0 1 0 -1 -1] [ 2 -1 0 0 2 0 1 -2 -1 4 1 -1 0 0 2 0 0 -2 0 2 1 0] [ 1 0 0 1 1 1 0 0 0 1 4 -1 1 0 0 0 1 -2 0 2 1 0] [-1 0 1 0 -2 0 0 2 0 -1 -1 4 -1 0 -2 1 -1 0 -1 -1 0 -1] [ 0 1 1 -1 1 0 1 0 1 0 1 -1 4 0 1 -1 0 -1 2 1 -1 1] [ 1 -1 0 0 2 1 2 0 1 0 0 0 0 4 -1 -1 0 0 1 0 1 0] [ 1 0 -1 0 2 0 0 -2 0 2 0 -2 1 -1 4 -1 0 -1 1 1 0 1] [-1 0 1 1 -1 0 -2 0 0 0 0 1 -1 -1 -1 4 0 0 -2 0 0 0] [ 1 0 -1 1 0 -1 1 0 -1 0 1 -1 0 0 0 0 4 0 0 0 3 1] [-2 0 -1 0 -1 0 0 1 0 -2 -2 0 -1 0 -1 0 0 4 0 -2 0 0] [ 0 -1 0 -1 1 0 2 0 1 0 0 -1 2 1 1 -2 0 0 4 0 -1 0] [ 2 0 1 0 1 0 0 -1 0 2 2 -1 1 0 1 0 0 -2 0 4 1 0] [ 2 0 -1 2 1 0 1 0 -1 1 1 0 -1 1 0 0 3 0 -1 1 6 0] [ 1 1 0 1 2 1 0 -1 -1 0 0 -1 1 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 604. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 0 0 1 2 1 -2 1 2 -1 1 0 -2 -1 1 -2 -2 2 1 2] [-1 4 -1 1 1 -1 1 -1 0 1 0 -1 -2 1 2 1 -2 0 0 0 1 0] [ 0 -1 4 -2 -2 0 -1 -1 -1 -1 0 0 1 0 0 1 1 0 0 0 -2 1] [ 0 1 -2 4 0 -1 2 0 0 0 0 1 -2 1 0 -1 -1 0 -1 0 2 0] [ 0 1 -2 0 4 -1 1 0 0 0 0 0 1 1 0 -1 0 -1 0 1 1 -1] [ 1 -1 0 -1 -1 4 0 2 -1 1 1 0 1 -2 0 -1 1 0 0 0 -1 0] [ 2 1 -1 2 1 0 6 -1 -2 1 0 -1 1 0 0 -2 -1 0 -1 0 0 1] [ 1 -1 -1 0 0 2 -1 4 0 0 1 1 0 0 -1 -1 0 0 0 0 0 0] [-2 0 -1 0 0 -1 -2 0 4 -1 -2 1 0 0 1 1 0 1 1 -1 1 -2] [ 1 1 -1 0 0 1 1 0 -1 4 0 -2 0 -1 1 0 0 0 0 0 0 1] [ 2 0 0 0 0 1 0 1 -2 0 4 -1 0 1 -2 0 0 -2 -2 2 0 2] [-1 -1 0 1 0 0 -1 1 1 -2 -1 4 -1 1 0 0 0 0 1 0 0 -1] [ 1 -2 1 -2 1 1 1 0 0 0 0 -1 6 -1 -1 -1 2 -1 -1 0 -1 0] [ 0 1 0 1 1 -2 0 0 0 -1 1 1 -1 4 -1 1 -1 -1 -1 1 1 1] [-2 2 0 0 0 0 0 -1 1 1 -2 0 -1 -1 4 0 -1 1 2 -1 -1 -1] [-1 1 1 -1 -1 -1 -2 -1 1 0 0 0 -1 1 0 4 0 0 0 0 0 1] [ 1 -2 1 -1 0 1 -1 0 0 0 0 0 2 -1 -1 0 4 -1 -1 1 1 0] [-2 0 0 0 -1 0 0 0 1 0 -2 0 -1 -1 1 0 -1 4 2 -2 -1 -1] [-2 0 0 -1 0 0 -1 0 1 0 -2 1 -1 -1 2 0 -1 2 4 -2 -2 -1] [ 2 0 0 0 1 0 0 0 -1 0 2 0 0 1 -1 0 1 -2 -2 4 2 1] [ 1 1 -2 2 1 -1 0 0 1 0 0 0 -1 1 -1 0 1 -1 -2 2 6 -1] [ 2 0 1 0 -1 0 1 0 -2 1 2 -1 0 1 -1 1 0 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 605. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 1 2 1 -1 -1 1 0 -1 0 0 -1 1 -1 -1 1 1 0] [ 1 4 2 1 2 2 1 0 -1 -2 0 -1 -2 0 0 -1 -1 -2 -2 0 -1 0] [ 2 2 4 -1 1 2 1 1 0 -1 1 -1 -1 1 0 -1 1 -2 -1 1 0 1] [-2 1 -1 4 1 0 0 0 0 -1 0 -1 -1 -1 0 1 -2 0 -1 0 -1 -1] [ 1 2 1 1 4 1 2 0 -2 -2 -1 -2 -1 -1 1 1 0 -1 -1 -1 -1 -1] [ 1 2 2 0 1 4 2 0 -1 -2 0 0 -2 1 0 0 0 -2 0 0 0 -1] [ 2 1 1 0 2 2 4 0 -2 -1 0 0 -1 -1 0 0 0 -1 0 0 0 -2] [ 1 0 1 0 0 0 0 4 -1 1 1 0 0 1 1 0 1 1 0 1 0 1] [-1 -1 0 0 -2 -1 -2 -1 6 -1 2 1 1 0 1 1 -2 1 0 2 2 1] [-1 -2 -1 -1 -2 -2 -1 1 -1 6 -1 0 2 1 -1 -1 2 2 2 -1 0 1] [ 1 0 1 0 -1 0 0 1 2 -1 4 0 0 -1 1 0 -1 0 -1 2 1 1] [ 0 -1 -1 -1 -2 0 0 0 1 0 0 4 1 0 -1 -1 0 1 1 0 0 -1] [-1 -2 -1 -1 -1 -2 -1 0 1 2 0 1 4 -1 1 0 1 1 2 0 0 1] [ 0 0 1 -1 -1 1 -1 1 0 1 -1 0 -1 4 -1 0 1 0 0 0 1 1] [ 0 0 0 0 1 0 0 1 1 -1 1 -1 1 -1 4 1 -1 0 1 1 0 1] [-1 -1 -1 1 1 0 0 0 1 -1 0 -1 0 0 1 4 0 1 0 0 1 0] [ 1 -1 1 -2 0 0 0 1 -2 2 -1 0 1 1 -1 0 4 0 1 -1 0 1] [-1 -2 -2 0 -1 -2 -1 1 1 2 0 1 1 0 0 1 0 4 1 0 1 0] [-1 -2 -1 -1 -1 0 0 0 0 2 -1 1 2 0 1 0 1 1 4 -1 0 0] [ 1 0 1 0 -1 0 0 1 2 -1 2 0 0 0 1 0 -1 0 -1 4 2 1] [ 1 -1 0 -1 -1 0 0 0 2 0 1 0 0 1 0 1 0 1 0 2 4 0] [ 0 0 1 -1 -1 -1 -2 1 1 1 1 -1 1 1 1 0 1 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 606. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 1 -1 -1 1 2 1 0 -1 2 -1 0 -1 -1 1 1 2 1 -1 0] [ 2 4 -1 0 0 0 0 0 2 1 -1 1 -1 -1 1 -2 1 2 2 2 -1 0] [-1 -1 4 -1 0 -1 0 0 -1 1 -1 0 -1 1 0 2 -1 -2 -2 1 0 1] [ 1 0 -1 4 1 0 -1 1 1 -2 0 1 0 1 -2 0 1 0 2 0 1 1] [-1 0 0 1 4 -1 -2 -1 -1 -1 1 0 -1 1 0 -1 1 0 -1 0 2 -1] [-1 0 -1 0 -1 4 0 0 2 0 -1 -1 0 -1 1 0 0 1 1 -1 0 1] [ 1 0 0 -1 -2 0 4 2 0 0 0 -1 0 0 -1 0 0 0 0 0 -2 0] [ 2 0 0 1 -1 0 2 4 0 0 0 1 0 0 -2 0 0 0 0 0 -1 0] [ 1 2 -1 1 -1 2 0 0 4 0 -1 0 -1 -1 0 -1 0 1 2 1 0 1] [ 0 1 1 -2 -1 0 0 0 0 4 -1 1 0 -2 2 -1 -1 1 0 0 -1 -1] [-1 -1 -1 0 1 -1 0 0 -1 -1 4 -1 1 0 -1 0 -1 -1 -2 -1 1 -1] [ 2 1 0 1 0 -1 -1 1 0 1 -1 4 -1 -1 0 -1 1 0 2 1 0 0] [-1 -1 -1 0 -1 0 0 0 -1 0 1 -1 4 -1 0 1 -1 0 -1 -1 0 0] [ 0 -1 1 1 1 -1 0 0 -1 -2 0 -1 -1 4 -2 1 1 -1 0 0 0 1] [-1 1 0 -2 0 1 -1 -2 0 2 -1 0 0 -2 4 -1 0 1 0 0 0 -1] [-1 -2 2 0 -1 0 0 0 -1 -1 0 -1 1 1 -1 4 -1 -2 -2 0 0 2] [ 1 1 -1 1 1 0 0 0 0 -1 -1 1 -1 1 0 -1 4 0 2 1 -1 1] [ 1 2 -2 0 0 1 0 0 1 1 -1 0 0 -1 1 -2 0 4 2 0 0 -1] [ 2 2 -2 2 -1 1 0 0 2 0 -2 2 -1 0 0 -2 2 2 6 0 -1 1] [ 1 2 1 0 0 -1 0 0 1 0 -1 1 -1 0 0 0 1 0 0 4 0 1] [-1 -1 0 1 2 0 -2 -1 0 -1 1 0 0 0 0 0 -1 0 -1 0 4 -1] [ 0 0 1 1 -1 1 0 0 1 -1 -1 0 0 1 -1 2 1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 607. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 2 1 -2 1 -2 0 0 2 -1 1 2 -1 -1 1 -1 0 -2 -1 -1] [-2 4 2 -1 -1 2 -1 2 0 0 -1 1 1 -1 1 2 -1 1 0 2 1 1] [-1 2 6 2 -2 1 -2 2 2 2 0 2 2 -1 -1 2 0 0 -1 0 -2 -1] [ 2 -1 2 6 -2 -1 -1 0 1 2 2 -1 1 -1 -1 0 -1 -2 -1 0 -3 0] [ 1 -1 -2 -2 4 -1 2 -1 -1 0 -1 -1 -1 2 -1 -1 0 0 1 -2 0 -1] [-2 2 1 -1 -1 4 -2 2 -1 -1 -1 2 0 -2 2 2 0 0 1 2 2 0] [ 1 -1 -2 -1 2 -2 4 -1 -1 -1 -1 -1 0 1 -1 -1 0 0 1 -1 -1 0] [-2 2 2 0 -1 2 -1 4 -1 0 -1 1 1 -2 0 1 -1 0 0 1 0 1] [ 0 0 2 1 -1 -1 -1 -1 4 2 1 1 1 0 0 1 1 1 -2 0 0 -1] [ 0 0 2 2 0 -1 -1 0 2 4 0 0 0 0 -1 0 -1 0 -2 0 -1 0] [ 2 -1 0 2 -1 -1 -1 -1 1 0 4 -1 0 0 -1 0 0 0 0 0 0 -1] [-1 1 2 -1 -1 2 -1 1 1 0 -1 4 1 -1 1 2 2 0 0 1 1 -1] [ 1 1 2 1 -1 0 0 1 1 0 0 1 4 0 0 1 1 0 -1 0 -1 0] [ 2 -1 -1 -1 2 -2 1 -2 0 0 0 -1 0 4 -1 -1 1 0 0 -3 0 -1] [-1 1 -1 -1 -1 2 -1 0 0 -1 -1 1 0 -1 4 1 1 1 0 1 2 1] [-1 2 2 0 -1 2 -1 1 1 0 0 2 1 -1 1 4 0 1 1 2 1 -1] [ 1 -1 0 -1 0 0 0 -1 1 -1 0 2 1 1 1 0 4 0 0 -1 1 -1] [-1 1 0 -2 0 0 0 0 1 0 0 0 0 0 1 1 0 4 -1 0 2 1] [ 0 0 -1 -1 1 1 1 0 -2 -2 0 0 -1 0 0 1 0 -1 4 0 0 -1] [-2 2 0 0 -2 2 -1 1 0 0 0 1 0 -3 1 2 -1 0 0 6 2 1] [-1 1 -2 -3 0 2 -1 0 0 -1 0 1 -1 0 2 1 1 2 0 2 6 0] [-1 1 -1 0 -1 0 0 1 -1 0 -1 -1 0 -1 1 -1 -1 1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 608. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 1 2 2 2 0 0 -2 -1 1 -2 1 0 -1 -1 -2 -1 2 -1 -2] [ 2 4 0 1 0 1 1 1 -1 -1 -1 -1 -1 2 -1 0 0 0 -1 0 0 -2] [ 1 0 4 2 2 0 1 -2 0 0 0 -1 -2 -1 1 0 -2 -1 1 1 -1 1] [ 1 1 2 4 1 1 2 0 -1 0 -1 -2 -2 1 0 1 0 -1 1 1 0 -1] [ 2 0 2 1 4 0 1 -1 0 0 0 0 -1 0 1 0 -2 -1 1 1 0 -1] [ 2 1 0 1 0 4 2 0 1 -2 -2 1 0 1 0 -1 1 -2 -2 2 0 -2] [ 2 1 1 2 1 2 4 -1 -1 -1 -1 -1 -2 0 -1 0 0 -2 0 2 -1 -2] [ 0 1 -2 0 -1 0 -1 4 -1 -1 -1 0 1 2 -1 1 2 0 -1 0 1 0] [ 0 -1 0 -1 0 1 -1 -1 4 -1 0 1 0 0 2 -2 0 0 0 0 1 1] [-2 -1 0 0 0 -2 -1 -1 -1 4 2 0 1 -1 0 1 -1 2 1 -2 0 1] [-1 -1 0 -1 0 -2 -1 -1 0 2 4 0 -1 -1 1 0 -1 1 1 -1 -1 2] [ 1 -1 -1 -2 0 1 -1 0 1 0 0 6 1 -1 1 0 0 -1 -2 1 0 -1] [-2 -1 -2 -2 -1 0 -2 1 0 1 -1 1 6 -1 0 1 0 1 -1 -1 2 0] [ 1 2 -1 1 0 1 0 2 0 -1 -1 -1 -1 4 -1 -1 1 0 0 0 0 -1] [ 0 -1 1 0 1 0 -1 -1 2 0 1 1 0 -1 4 0 -1 -1 0 0 1 1] [-1 0 0 1 0 -1 0 1 -2 1 0 0 1 -1 0 4 1 0 0 0 1 0] [-1 0 -2 0 -2 1 0 2 0 -1 -1 0 0 1 -1 1 4 0 -1 0 1 0] [-2 0 -1 -1 -1 -2 -2 0 0 2 1 -1 1 0 -1 0 0 4 1 -2 1 1] [-1 -1 1 1 1 -2 0 -1 0 1 1 -2 -1 0 0 0 -1 1 4 -1 0 1] [ 2 0 1 1 1 2 2 0 0 -2 -1 1 -1 0 0 0 0 -2 -1 4 0 -1] [-1 0 -1 0 0 0 -1 1 1 0 -1 0 2 0 1 1 1 1 0 0 4 -1] [-2 -2 1 -1 -1 -2 -2 0 1 1 2 -1 0 -1 1 0 0 1 1 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 609. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 2 -1 0 -2 1 -1 -1 0 -1 1 -1 1 1 -1 0 0] [ 1 4 0 -1 2 1 2 -2 1 1 0 0 1 1 0 0 0 0 0 0 1 -1] [-1 0 4 -1 0 0 -1 -1 -1 0 1 1 -1 1 1 -2 1 -1 0 1 -1 -1] [ 1 -1 -1 4 -1 1 0 0 -1 -1 0 -1 0 1 -1 0 -1 1 -1 -1 -1 2] [ 1 2 0 -1 4 2 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 -1] [ 2 1 0 1 2 4 0 0 0 0 0 -1 0 1 -1 0 -2 0 0 0 0 1] [ 2 2 -1 0 0 0 4 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 -1] [-1 -2 -1 0 0 0 -2 4 -1 1 0 0 0 -1 0 1 -1 0 0 0 0 0] [ 0 1 -1 -1 0 0 1 -1 4 1 0 -1 2 0 -1 0 -1 1 -1 -1 1 0] [-2 1 0 -1 0 0 0 1 1 6 -2 1 2 1 -1 1 1 -2 -1 2 2 0] [ 1 0 1 0 0 0 0 0 0 -2 4 -1 0 0 0 -1 0 2 1 -2 -1 -1] [-1 0 1 -1 1 -1 0 0 -1 1 -1 4 -1 -1 1 0 1 -2 -1 1 0 -1] [-1 1 -1 0 0 0 0 0 2 2 0 -1 4 0 0 0 0 0 0 0 1 1] [ 0 1 1 1 -1 1 0 -1 0 1 0 -1 0 4 -2 0 0 0 -1 0 1 1] [-1 0 1 -1 1 -1 0 0 -1 -1 0 1 0 -2 4 -2 0 -1 1 1 -2 -1] [ 1 0 -2 0 0 0 0 1 0 1 -1 0 0 0 -2 4 1 0 0 0 2 1] [-1 0 1 -1 -1 -2 0 -1 -1 1 0 1 0 0 0 1 4 -1 1 1 1 0] [ 1 0 -1 1 0 0 0 0 1 -2 2 -2 0 0 -1 0 -1 4 0 -2 0 0] [ 1 0 0 -1 0 0 0 0 -1 -1 1 -1 0 -1 1 0 1 0 4 0 0 0] [-1 0 1 -1 0 0 0 0 -1 2 -2 1 0 0 1 0 1 -2 0 4 1 0] [ 0 1 -1 -1 0 0 0 0 1 2 -1 0 1 1 -2 2 1 0 0 1 4 0] [ 0 -1 -1 2 -1 1 -1 0 0 0 -1 -1 1 1 -1 1 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 610. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 0 1 0 0 1 -1 2 -1 1 0 1 0 0 -1 1 1 1 1] [ 0 4 -2 0 2 2 0 0 -1 1 1 -1 -2 0 -1 -1 -1 0 -1 0 1 -1] [-1 -2 6 2 -3 -1 0 -2 -1 0 -1 0 3 2 -2 1 1 0 0 0 -2 -1] [ 0 0 2 4 -1 -1 0 -2 -1 0 0 -1 2 1 -2 -1 -1 1 -1 -1 1 1] [ 0 2 -3 -1 6 -1 2 1 -2 2 2 -2 -3 -2 2 -2 -2 1 -2 -1 3 1] [ 1 2 -1 -1 -1 6 0 -1 0 -2 1 1 1 -1 1 2 -1 -2 0 2 -1 -2] [ 0 0 0 0 2 0 4 -1 -2 -1 0 -1 1 -2 0 0 0 1 0 -1 2 0] [ 0 0 -2 -2 1 -1 -1 4 2 1 0 1 -2 0 2 0 0 -1 0 1 -1 0] [ 1 -1 -1 -1 -2 0 -2 2 4 -1 -1 1 0 1 1 1 1 -1 1 1 -2 0] [-1 1 0 0 2 -2 -1 1 -1 4 1 -1 -2 1 0 -1 -1 1 -1 -1 1 0] [ 2 1 -1 0 2 1 0 0 -1 1 4 -1 0 -1 1 0 -2 -1 -1 1 2 0] [-1 -1 0 -1 -2 1 -1 1 1 -1 -1 4 0 0 0 1 1 -2 1 2 -2 -1] [ 1 -2 3 2 -3 1 1 -2 0 -2 0 0 6 0 -1 2 0 -1 0 0 0 0] [ 0 0 2 1 -2 -1 -2 0 1 1 -1 0 0 4 -2 0 1 0 0 0 -1 0] [ 1 -1 -2 -2 2 1 0 2 1 0 1 0 -1 -2 6 0 -2 -1 0 1 -1 1] [ 0 -1 1 -1 -2 2 0 0 1 -1 0 1 2 0 0 4 1 -1 0 1 -1 -1] [ 0 -1 1 -1 -2 -1 0 0 1 -1 -2 1 0 1 -2 1 4 0 2 0 -1 0] [-1 0 0 1 1 -2 1 -1 -1 1 -1 -2 -1 0 -1 -1 0 4 0 -2 2 1] [ 1 -1 0 -1 -2 0 0 0 1 -1 -1 1 0 0 0 0 2 0 4 0 -1 0] [ 1 0 0 -1 -1 2 -1 1 1 -1 1 2 0 0 1 1 0 -2 0 4 -1 -1] [ 1 1 -2 1 3 -1 2 -1 -2 1 2 -2 0 -1 -1 -1 -1 2 -1 -1 6 1] [ 1 -1 -1 1 1 -2 0 0 0 0 0 -1 0 0 1 -1 0 1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 611. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 -2 0 0 0 1 1 0 2 -2 -1 0 1 -2 1 2 -1 0] [-2 6 2 -2 -1 1 -1 -2 0 -1 -2 2 -1 0 2 2 1 0 1 0 2 -2] [ 0 2 4 -2 0 1 -2 -2 -1 1 0 2 -1 1 0 1 1 -1 1 1 0 -2] [ 0 -2 -2 4 1 0 0 2 1 1 0 0 1 0 0 -2 -1 0 -2 0 0 2] [-1 -1 0 1 4 0 -1 0 -1 1 -1 0 -1 1 0 -1 -2 1 -2 -1 -1 1] [-2 1 1 0 0 4 -1 -1 1 -1 0 1 -2 2 1 -1 -1 1 -1 -1 0 -1] [ 0 -1 -2 0 -1 -1 4 2 0 -2 1 -2 0 -1 -1 1 0 0 0 0 1 1] [ 0 -2 -2 2 0 -1 2 4 0 -1 1 -2 0 0 0 0 -1 0 0 0 0 2] [ 0 0 -1 1 -1 1 0 0 4 1 0 1 1 0 0 -1 -1 1 0 -1 0 0] [ 1 -1 1 1 1 -1 -2 -1 1 6 1 2 2 -1 -2 0 1 -1 -1 1 0 0] [ 1 -2 0 0 -1 0 1 1 0 1 4 -1 1 -1 -1 1 1 -1 0 1 -1 1] [ 0 2 2 0 0 1 -2 -2 1 2 -1 4 0 0 0 0 1 -1 0 1 1 -1] [ 2 -1 -1 1 -1 -2 0 0 1 2 1 0 4 -2 -1 0 1 -1 0 1 0 1] [-2 0 1 0 1 2 -1 0 0 -1 -1 0 -2 4 1 -1 -2 2 0 -2 0 -1] [-1 2 0 0 0 1 -1 0 0 -2 -1 0 -1 1 4 0 -1 0 0 -1 0 0] [ 0 2 1 -2 -1 -1 1 0 -1 0 1 0 0 -1 0 4 2 -1 1 1 1 0] [ 1 1 1 -1 -2 -1 0 -1 -1 1 1 1 1 -2 -1 2 4 -2 1 2 1 0] [-2 0 -1 0 1 1 0 0 1 -1 -1 -1 -1 2 0 -1 -2 4 0 -2 0 0] [ 1 1 1 -2 -2 -1 0 0 0 -1 0 0 0 0 0 1 1 0 4 0 0 -1] [ 2 0 1 0 -1 -1 0 0 -1 1 1 1 1 -2 -1 1 2 -2 0 4 1 0] [-1 2 0 0 -1 0 1 0 0 0 -1 1 0 0 0 1 1 0 0 1 4 -1] [ 0 -2 -2 2 1 -1 1 2 0 0 1 -1 1 -1 0 0 0 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 612. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 -1 1 -2 1 2 -1 -1 1 -2 -2 0 -1 -1 1 1 0 1] [-1 4 0 0 -2 2 0 1 -2 0 -1 -1 -2 2 1 -1 -1 2 -2 -2 0 1] [-2 0 4 -2 -1 -1 -1 1 -1 -2 1 2 0 2 0 -1 1 -1 0 1 1 0] [ 2 0 -2 4 1 -1 2 -2 0 2 -2 -2 -1 -2 0 0 -2 -1 -1 1 0 0] [ 2 -2 -1 1 6 -3 2 -3 1 0 -2 -1 -1 -3 -3 -1 1 1 -1 -1 -1 1] [-1 2 -1 -1 -3 6 -2 3 -1 -1 1 0 0 3 3 2 1 1 1 -1 1 -1] [ 1 0 -1 2 2 -2 4 -1 0 1 -1 -1 -2 -1 0 0 -1 1 -2 -1 0 0] [-2 1 1 -2 -3 3 -1 6 -2 -2 2 0 0 3 3 1 2 -1 2 1 2 -2] [ 1 -2 -1 0 1 -1 0 -2 4 1 0 0 2 -1 -2 1 0 0 1 0 0 1] [ 2 0 -2 2 0 -1 1 -2 1 4 0 -1 0 -2 -1 0 -2 0 -1 0 -1 1] [-1 -1 1 -2 -2 1 -1 2 0 0 4 2 1 1 1 1 1 -1 1 1 0 -1] [-1 -1 2 -2 -1 0 -1 0 0 -1 2 4 1 1 0 1 0 0 1 0 0 -1] [ 1 -2 0 -1 -1 0 -2 0 2 0 1 1 6 1 -2 1 0 -3 2 2 1 0] [-2 2 2 -2 -3 3 -1 3 -1 -2 1 1 1 6 2 1 1 0 0 -1 2 0] [-2 1 0 0 -3 3 0 3 -2 -1 1 0 -2 2 6 1 0 0 1 0 0 -2] [ 0 -1 -1 0 -1 2 0 1 1 0 1 1 1 1 1 4 1 0 1 0 1 -1] [-1 -1 1 -2 1 1 -1 2 0 -2 1 0 0 1 0 1 4 0 1 0 1 0] [-1 2 -1 -1 1 1 1 -1 0 0 -1 0 -3 0 0 0 0 6 -2 -4 -1 1] [ 1 -2 0 -1 -1 1 -2 2 1 -1 1 1 2 0 1 1 1 -2 6 2 1 -1] [ 1 -2 1 1 -1 -1 -1 1 0 0 1 0 2 -1 0 0 0 -4 2 6 2 -1] [ 0 0 1 0 -1 1 0 2 0 -1 0 0 1 2 0 1 1 -1 1 2 4 -1] [ 1 1 0 0 1 -1 0 -2 1 1 -1 -1 0 0 -2 -1 0 1 -1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 613. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 0 -2 1 1 0 1 1 -2 1 -2 -1 -1 -1 -2 0 -1] [ 1 4 -2 2 1 -1 0 0 1 1 -1 2 0 -2 0 -2 0 -1 -1 1 0 -2] [-1 -2 4 -2 -1 1 1 0 -1 0 1 -2 0 0 1 0 0 0 0 -1 -1 1] [ 1 2 -2 4 2 0 0 0 2 1 0 2 -1 -1 1 -2 -1 0 -1 0 0 -2] [ 2 1 -1 2 4 0 0 0 1 2 0 1 1 -2 2 -1 -2 0 -2 0 0 -1] [-2 -1 1 0 0 4 -1 1 -1 1 0 -1 -1 1 0 0 -1 0 1 1 0 0] [ 0 0 1 0 0 -1 4 1 1 1 0 1 1 1 1 1 0 1 -1 0 1 1] [-2 0 0 0 0 1 1 4 -1 0 0 0 0 2 0 1 0 2 -1 1 1 1] [ 1 1 -1 2 1 -1 1 -1 4 1 1 2 -1 0 1 0 -1 0 0 1 0 -1] [ 1 1 0 1 2 1 1 0 1 4 -1 1 0 0 2 0 -2 0 0 1 0 0] [ 0 -1 1 0 0 0 0 0 1 -1 4 0 -1 -1 1 0 -1 1 -1 0 -1 -1] [ 1 2 -2 2 1 -1 1 0 2 1 0 4 -1 -1 1 0 -1 0 -1 0 1 -1] [ 1 0 0 -1 1 -1 1 0 -1 0 -1 -1 4 0 -1 0 1 0 -1 0 0 1] [-2 -2 0 -1 -2 1 1 2 0 0 -1 -1 0 6 -1 3 1 2 2 1 1 2] [ 1 0 1 1 2 0 1 0 1 2 1 1 -1 -1 4 0 -2 1 -1 -1 0 -1] [-2 -2 0 -2 -1 0 1 1 0 0 0 0 0 3 0 6 1 1 1 1 0 2] [-1 0 0 -1 -2 -1 0 0 -1 -2 -1 -1 1 1 -2 1 4 0 1 -1 -1 1] [-1 -1 0 0 0 0 1 2 0 0 1 0 0 2 1 1 0 4 0 1 1 1] [-1 -1 0 -1 -2 1 -1 -1 0 0 -1 -1 -1 2 -1 1 1 0 4 0 0 1] [-2 1 -1 0 0 1 0 1 1 1 0 0 0 1 -1 1 -1 1 0 6 1 0] [ 0 0 -1 0 0 0 1 1 0 0 -1 1 0 1 0 0 -1 1 0 1 4 0] [-1 -2 1 -2 -1 0 1 1 -1 0 -1 -1 1 2 -1 2 1 1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 614. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 -2 -1 -1 1 1 -1 -1 2 -2 -1 1 -1 0 1 0 0] [ 1 4 0 0 2 -1 0 1 -1 2 0 1 0 1 0 -1 1 0 0 0 1 0] [-1 0 4 -2 1 0 0 1 0 1 1 -1 -1 0 1 1 -1 1 0 -1 -1 0] [ 1 0 -2 4 1 -1 1 -1 1 1 1 0 1 0 -2 -1 2 -2 1 2 0 0] [ 1 2 1 1 4 0 1 0 -1 3 2 0 0 0 0 -1 1 -1 0 1 0 0] [ 1 -1 0 -1 0 4 -2 -1 -1 0 0 -1 -1 1 0 -1 -1 1 -1 -1 0 -1] [-2 0 0 1 1 -2 6 2 2 0 0 2 1 -2 1 2 -1 -1 -1 1 1 2] [-1 1 1 -1 0 -1 2 4 1 -1 -1 1 -1 0 0 1 0 1 0 -1 0 1] [-1 -1 0 1 -1 -1 2 1 4 0 0 1 0 0 -1 1 0 -1 1 1 0 0] [ 1 2 1 1 3 0 0 -1 0 6 3 1 1 1 0 -1 0 0 1 0 1 -2] [ 1 0 1 1 2 0 0 -1 0 3 4 -1 1 1 -1 0 0 -1 0 1 -1 0] [-1 1 -1 0 0 -1 2 1 1 1 -1 4 0 0 1 1 -1 0 1 0 1 0] [-1 0 -1 1 0 -1 1 -1 0 1 1 0 4 -1 0 0 0 -1 -1 0 1 0] [ 2 1 0 0 0 1 -2 0 0 1 1 0 -1 4 -2 0 0 0 0 0 0 0] [-2 0 1 -2 0 0 1 0 -1 0 -1 1 0 -2 4 0 -2 1 0 -1 0 0] [-1 -1 1 -1 -1 -1 2 1 1 -1 0 1 0 0 0 4 -1 0 -1 0 0 2] [ 1 1 -1 2 1 -1 -1 0 0 0 0 -1 0 0 -2 -1 4 -1 1 1 0 0] [-1 0 1 -2 -1 1 -1 1 -1 0 -1 0 -1 0 1 0 -1 4 0 -2 1 -1] [ 0 0 0 1 0 -1 -1 0 1 1 0 1 -1 0 0 -1 1 0 4 0 -1 -1] [ 1 0 -1 2 1 -1 1 -1 1 0 1 0 0 0 -1 0 1 -2 0 4 0 1] [ 0 1 -1 0 0 0 1 0 0 1 -1 1 1 0 0 0 0 1 -1 0 4 -1] [ 0 0 0 0 0 -1 2 1 0 -2 0 0 0 0 0 2 0 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 615. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 -1 -2 -2 0 -1 2 1 0 1 2 1 2 -2 0 -1 1 0] [-2 4 2 -1 1 0 2 1 0 0 0 -2 -1 0 -2 -1 -1 0 0 1 -2 1] [-2 2 4 -1 2 -1 2 2 -1 -1 0 -1 0 -1 -2 0 -2 0 1 1 0 1] [ 1 -1 -1 4 1 -1 -1 0 -1 -1 1 2 -1 1 1 2 2 0 1 -2 -1 1] [-1 1 2 1 4 -2 1 1 -2 -2 0 1 0 1 -1 0 -1 0 2 -1 0 2] [-1 0 -1 -1 -2 4 1 1 2 1 -2 0 0 0 0 -1 -1 0 -1 0 -1 -1] [-2 2 2 -1 1 1 4 1 1 0 -2 0 0 0 -2 0 -2 0 0 1 0 1] [-2 1 2 0 1 1 1 4 -1 0 -1 -1 0 -1 -1 -1 -2 0 0 -1 -1 1] [ 0 0 -1 -1 -2 2 1 -1 4 2 -2 0 -1 1 0 0 0 0 0 2 1 -1] [-1 0 -1 -1 -2 1 0 0 2 6 -3 -2 -1 -1 1 0 0 1 -2 0 2 0] [ 2 0 0 1 0 -2 -2 -1 -2 -3 6 1 1 0 1 0 2 -1 0 -1 -2 -1] [ 1 -2 -1 2 1 0 0 -1 0 -2 1 6 0 1 0 1 1 -1 1 -2 1 0] [ 0 -1 0 -1 0 0 0 0 -1 -1 1 0 4 0 0 -1 0 1 0 -1 0 -1] [ 1 0 -1 1 1 0 0 -1 1 -1 0 1 0 4 1 0 1 -1 2 0 0 1] [ 2 -2 -2 1 -1 0 -2 -1 0 1 1 0 0 1 4 0 1 -1 0 -1 0 0] [ 1 -1 0 2 0 -1 0 -1 0 0 0 1 -1 0 0 4 2 0 0 0 1 1] [ 2 -1 -2 2 -1 -1 -2 -2 0 0 2 1 0 1 1 2 4 0 0 -1 0 0] [-2 0 0 0 0 0 0 0 0 1 -1 -1 1 -1 -1 0 0 4 0 1 0 -1] [ 0 0 1 1 2 -1 0 0 0 -2 0 1 0 2 0 0 0 0 4 0 0 1] [-1 1 1 -2 -1 0 1 -1 2 0 -1 -2 -1 0 -1 0 -1 1 0 6 1 -1] [ 1 -2 0 -1 0 -1 0 -1 1 2 -2 1 0 0 0 1 0 0 0 1 6 0] [ 0 1 1 1 2 -1 1 1 -1 0 -1 0 -1 1 0 1 0 -1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 616. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 -2 2 -1 1 -2 -1 1 -1 -2 0 1 1 1 0 0 -2 -1 -1] [-2 4 0 1 2 -2 1 -1 2 1 -1 1 2 1 1 0 0 1 -1 0 1 0] [-2 0 4 2 1 -1 -1 1 1 1 0 -1 1 0 -1 0 0 0 1 2 1 2] [-2 1 2 4 2 -2 1 0 2 2 -1 1 0 -1 -1 1 -1 -1 -1 0 0 0] [-2 2 1 2 4 -2 2 0 2 0 -2 1 2 0 0 0 -1 0 0 1 1 1] [ 2 -2 -1 -2 -2 4 -1 0 -2 0 1 -1 -1 1 0 -1 1 -1 0 -1 -1 0] [-1 1 -1 1 2 -1 4 0 1 0 -1 2 1 0 0 0 -2 0 0 -1 -1 -1] [ 1 -1 1 0 0 0 0 4 0 -1 1 0 1 0 1 1 -1 0 0 1 0 1] [-2 2 1 2 2 -2 1 0 4 0 0 2 2 0 0 0 -1 0 0 0 1 1] [-1 1 1 2 0 0 0 -1 0 4 0 0 -1 0 0 1 0 -1 -1 -1 0 -1] [ 1 -1 0 -1 -2 1 -1 1 0 0 4 0 -1 1 1 0 1 1 1 -1 0 0] [-1 1 -1 1 1 -1 2 0 2 0 0 4 1 0 0 0 -2 0 0 0 -1 -1] [-2 2 1 0 2 -1 1 1 2 -1 -1 1 6 2 1 0 0 1 0 3 2 2] [ 0 1 0 -1 0 1 0 0 0 0 1 0 2 4 1 -1 1 2 0 0 1 0] [ 1 1 -1 -1 0 0 0 1 0 0 1 0 1 1 4 0 0 0 0 -1 1 0] [ 1 0 0 1 0 -1 0 1 0 1 0 0 0 -1 0 4 1 0 -1 0 0 0] [ 1 0 0 -1 -1 1 -2 -1 -1 0 1 -2 0 1 0 1 4 1 0 0 1 1] [ 0 1 0 -1 0 -1 0 0 0 -1 1 0 1 2 0 0 1 4 1 1 1 0] [ 0 -1 1 -1 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 4 0 0 1] [-2 0 2 0 1 -1 -1 1 0 -1 -1 0 3 0 -1 0 0 1 0 6 2 2] [-1 1 1 0 1 -1 -1 0 1 0 0 -1 2 1 1 0 1 1 0 2 4 1] [-1 0 2 0 1 0 -1 1 1 -1 0 -1 2 0 0 0 1 0 1 2 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 617. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 0 -1 0 1 2 1 -1 -1 1 0 1 0 -1 0 1 2 0 1] [-1 4 0 -1 0 0 0 1 0 -1 1 -1 -1 1 -2 0 -1 0 -1 0 -1 0] [-2 0 4 0 1 0 1 -1 -2 1 0 0 1 0 1 -1 0 1 1 -2 0 0] [-1 -1 0 4 1 2 -1 0 0 0 -1 0 0 1 1 -1 0 -1 -1 0 -1 1] [ 0 0 1 1 4 1 -1 1 -1 2 0 0 2 1 2 -1 -2 -1 0 -1 -1 0] [-1 0 0 2 1 4 -2 -1 -1 1 0 -1 1 1 1 -1 1 -2 -1 -1 -1 1] [ 0 0 1 -1 -1 -2 4 1 0 -1 1 1 0 -1 -1 -1 0 2 2 0 1 0] [ 1 1 -1 0 1 -1 1 4 0 0 1 0 0 1 0 -1 -1 1 1 0 -1 0] [ 2 0 -2 0 -1 -1 0 0 4 -1 -1 0 -1 -1 -1 1 -1 0 -1 2 0 1] [ 1 -1 1 0 2 1 -1 0 -1 4 0 0 2 1 3 -1 0 0 1 -1 -1 0] [-1 1 0 -1 0 0 1 1 -1 0 4 0 0 1 0 0 1 1 0 -1 -1 0] [-1 -1 0 0 0 -1 1 0 0 0 0 4 -1 -1 -1 1 0 0 0 0 1 -1] [ 1 -1 1 0 2 1 0 0 -1 2 0 -1 4 1 3 -1 0 -1 1 -1 -1 0] [ 0 1 0 1 1 1 -1 1 -1 1 1 -1 1 4 2 0 0 -1 -1 0 -2 1] [ 1 -2 1 1 2 1 -1 0 -1 3 0 -1 3 2 6 0 1 -1 0 -1 -2 0] [ 0 0 -1 -1 -1 -1 -1 -1 1 -1 0 1 -1 0 0 4 1 -1 -2 1 0 0] [-1 -1 0 0 -2 1 0 -1 -1 0 1 0 0 0 1 1 4 0 0 -1 0 0] [ 0 0 1 -1 -1 -2 2 1 0 0 1 0 -1 -1 -1 -1 0 4 2 0 1 0] [ 1 -1 1 -1 0 -1 2 1 -1 1 0 0 1 -1 0 -2 0 2 4 -1 1 0] [ 2 0 -2 0 -1 -1 0 0 2 -1 -1 0 -1 0 -1 1 -1 0 -1 4 1 1] [ 0 -1 0 -1 -1 -1 1 -1 0 -1 -1 1 -1 -2 -2 0 0 1 1 1 4 -1] [ 1 0 0 1 0 1 0 0 1 0 0 -1 0 1 0 0 0 0 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 618. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 1 -2 1 -1 2 0 1 2 1 1 1 -1 -2 -1 -1 1 1 -1] [ 1 4 2 -1 2 0 -1 -2 1 1 0 1 2 0 0 0 0 -2 0 0 1 0] [ 2 2 6 1 3 -2 1 -1 1 1 1 1 1 1 0 -2 -2 0 -1 1 0 0] [-1 -1 1 4 0 1 0 0 0 1 1 0 0 1 1 -1 1 0 -1 1 -1 -1] [ 1 2 3 0 4 -1 0 -1 1 0 0 1 1 1 0 0 -1 0 -1 0 1 1] [-2 0 -2 1 -1 4 0 0 0 0 -1 0 0 -1 0 1 2 -1 1 -1 -1 -1] [ 1 -1 1 0 0 0 4 1 1 -1 1 1 -1 -1 -1 0 0 1 1 1 0 -1] [-1 -2 -1 0 -1 0 1 4 -2 0 1 -1 -2 -1 -1 -1 1 2 0 1 -1 1] [ 2 1 1 0 1 0 1 -2 4 0 0 1 2 1 0 1 -1 -1 -1 0 0 -1] [ 0 1 1 1 0 0 -1 0 0 4 0 -1 1 1 0 -1 1 0 0 0 0 0] [ 1 0 1 1 0 -1 1 1 0 0 4 0 0 -1 1 -1 0 0 -1 2 0 0] [ 2 1 1 0 1 0 1 -1 1 -1 0 4 1 0 0 -1 0 -1 0 0 0 -2] [ 1 2 1 0 1 0 -1 -2 2 1 0 1 4 0 1 0 0 -2 0 0 0 0] [ 1 0 1 1 1 -1 -1 -1 1 1 -1 0 0 4 0 0 -1 0 -2 0 1 0] [ 1 0 0 1 0 0 -1 -1 0 0 1 0 1 0 4 -1 -1 -2 0 1 0 0] [-1 0 -2 -1 0 1 0 -1 1 -1 -1 -1 0 0 -1 4 1 0 0 -1 1 1] [-2 0 -2 1 -1 2 0 1 -1 1 0 0 0 -1 -1 1 4 0 1 0 0 0] [-1 -2 0 0 0 -1 1 2 -1 0 0 -1 -2 0 -2 0 0 4 0 0 0 1] [-1 0 -1 -1 -1 1 1 0 -1 0 -1 0 0 -2 0 0 1 0 4 -1 0 0] [ 1 0 1 1 0 -1 1 1 0 0 2 0 0 0 1 -1 0 0 -1 4 1 0] [ 1 1 0 -1 1 -1 0 -1 0 0 0 0 0 1 0 1 0 0 0 1 4 0] [-1 0 0 -1 1 -1 -1 1 -1 0 0 -2 0 0 0 1 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 619. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 2 -1 -1 0 -1 1 -1 -1 0 -1 0 0 -1 -1 -2 1 1 0] [ 0 4 -2 1 -2 1 1 -1 0 -2 0 -1 -2 -1 -1 1 2 1 0 -2 0 0] [ 1 -2 4 -1 2 -1 -1 0 0 2 0 1 2 -1 0 0 -1 -1 -1 2 1 -1] [ 2 1 -1 4 0 1 0 1 -1 0 -1 -1 0 -1 1 0 0 0 -1 0 1 0] [ 2 -2 2 0 4 -1 -1 1 0 2 -1 1 1 0 0 0 -2 -1 -1 2 0 0] [-1 1 -1 1 -1 4 2 -1 -1 0 -1 1 1 0 -1 0 2 2 1 0 0 1] [-1 1 -1 0 -1 2 4 0 -1 -1 -1 1 0 0 -1 -1 0 2 2 -1 -1 1] [ 0 -1 0 1 1 -1 0 4 1 0 -1 1 1 0 2 0 -2 0 1 0 0 -1] [-1 0 0 -1 0 -1 -1 1 4 -1 0 0 1 1 1 2 0 1 0 -1 -1 -2] [ 1 -2 2 0 2 0 -1 0 -1 4 -1 1 2 0 0 -1 -1 -1 -1 2 0 0] [-1 0 0 -1 -1 -1 -1 -1 0 -1 4 0 -2 1 1 1 1 -1 0 -1 1 1] [-1 -1 1 -1 1 1 1 1 0 1 0 4 1 0 1 0 0 0 2 1 0 1] [ 0 -2 2 0 1 1 0 1 1 2 -2 1 6 -1 0 -1 -1 0 0 2 -1 -2] [-1 -1 -1 -1 0 0 0 0 1 0 1 0 -1 4 0 1 0 1 0 -1 0 1] [ 0 -1 0 1 0 -1 -1 2 1 0 1 1 0 0 4 0 -1 -1 1 0 0 0] [ 0 1 0 0 0 0 -1 0 2 -1 1 0 -1 1 0 4 2 1 -1 -1 1 0] [-1 2 -1 0 -2 2 0 -2 0 -1 1 0 -1 0 -1 2 4 1 0 -1 1 1] [-1 1 -1 0 -1 2 2 0 1 -1 -1 0 0 1 -1 1 1 4 1 -1 0 0] [-2 0 -1 -1 -1 1 2 1 0 -1 0 2 0 0 1 -1 0 1 4 -1 -1 1] [ 1 -2 2 0 2 0 -1 0 -1 2 -1 1 2 -1 0 -1 -1 -1 -1 4 1 0] [ 1 0 1 1 0 0 -1 0 -1 0 1 0 -1 0 0 1 1 0 -1 1 4 0] [ 0 0 -1 0 0 1 1 -1 -2 0 1 1 -2 1 0 0 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 620. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 1 0 2 0 -2 -1 2 0 -1 -1 2 -2 2 0 -1] [ 1 4 -1 -2 -1 0 1 -1 -1 2 1 -1 0 1 -1 -1 1 1 -2 0 0 1] [-1 -1 4 0 0 1 0 0 -1 1 -2 0 2 0 -1 1 0 0 2 -1 0 0] [-1 -2 0 4 0 0 -1 1 0 -2 0 2 1 -1 1 1 1 -1 2 0 -1 -1] [ 1 -1 0 0 4 0 1 0 0 1 -2 -1 0 1 1 -1 -2 -1 1 2 1 -1] [ 1 0 1 0 0 4 1 2 1 1 0 0 0 0 -1 -1 -1 0 -1 1 -1 1] [ 2 1 0 -1 1 1 4 1 -1 3 -1 -1 -1 2 1 -2 -1 1 -2 1 -1 0] [ 1 -1 0 1 0 2 1 4 0 -1 0 1 -1 1 1 0 0 0 -1 1 0 1] [ 0 -1 -1 0 0 1 -1 0 4 -2 1 0 -1 -2 -1 -1 -2 0 0 0 0 0] [ 2 2 1 -2 1 1 3 -1 -2 6 -1 -2 0 2 0 -2 0 1 -2 1 -1 0] [ 0 1 -2 0 -2 0 -1 0 1 -1 4 0 -1 -1 0 0 1 1 -1 -1 -1 0] [-2 -1 0 2 -1 0 -1 1 0 -2 0 4 0 -1 0 1 1 -2 0 -1 0 1] [-1 0 2 1 0 0 -1 -1 -1 0 -1 0 4 -1 0 1 1 -1 3 0 0 0] [ 2 1 0 -1 1 0 2 1 -2 2 -1 -1 -1 4 0 0 0 1 -2 1 1 0] [ 0 -1 -1 1 1 -1 1 1 -1 0 0 0 0 0 4 -1 0 -1 1 1 -1 0] [-1 -1 1 1 -1 -1 -2 0 -1 -2 0 1 1 0 -1 4 2 0 1 -1 1 0] [-1 1 0 1 -2 -1 -1 0 -2 0 1 1 1 0 0 2 4 0 0 -1 0 1] [ 2 1 0 -1 -1 0 1 0 0 1 1 -2 -1 1 -1 0 0 4 -1 0 0 -1] [-2 -2 2 2 1 -1 -2 -1 0 -2 -1 0 3 -2 1 1 0 -1 6 -1 0 -1] [ 2 0 -1 0 2 1 1 1 0 1 -1 -1 0 1 1 -1 -1 0 -1 4 1 0] [ 0 0 0 -1 1 -1 -1 0 0 -1 -1 0 0 1 -1 1 0 0 0 1 4 0] [-1 1 0 -1 -1 1 0 1 0 0 0 1 0 0 0 0 1 -1 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 621. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 0 -1 1 1 0 -1 -1 -1 -1 0 -1 0 -1 2 2 1 -2 1 0] [-2 4 0 0 0 -1 1 -1 1 2 0 0 1 1 0 0 -1 0 -1 0 -1 0] [-1 0 4 1 2 1 -2 -1 -1 1 2 1 -1 0 -1 -1 0 -1 0 1 -1 1] [ 0 0 1 4 -1 0 -2 0 1 -1 -1 0 0 -1 0 1 -1 0 0 0 -2 1] [-1 0 2 -1 4 1 -1 -1 0 0 2 1 -1 0 0 0 -1 -1 -1 1 -1 0] [ 1 -1 1 0 1 4 1 1 0 1 1 -1 -2 0 -1 0 1 1 -1 -1 0 -1] [ 1 1 -2 -2 -1 1 6 0 1 0 -1 0 -1 2 0 0 2 2 -1 -2 0 -1] [ 0 -1 -1 0 -1 1 0 4 1 1 -1 -2 0 1 1 0 1 -1 0 1 2 -2] [-1 1 -1 1 0 0 1 1 4 0 -1 0 -1 1 0 2 -1 0 -2 0 -2 -1] [-1 2 1 -1 0 1 0 1 0 6 0 -1 0 2 0 -1 1 0 0 0 2 -2] [-1 0 2 -1 2 1 -1 -1 -1 0 4 1 -1 -1 -2 0 -1 -1 -1 1 0 0] [-1 0 1 0 1 -1 0 -2 0 -1 1 4 -1 0 -1 1 -1 -1 -1 0 -1 1] [ 0 1 -1 0 -1 -2 -1 0 -1 0 -1 -1 4 -1 2 -1 0 -1 2 1 1 1] [-1 1 0 -1 0 0 2 1 1 2 -1 0 -1 4 0 0 1 0 -1 0 1 -1] [ 0 0 -1 0 0 -1 0 1 0 0 -2 -1 2 0 4 -1 0 -1 2 1 0 0] [-1 0 -1 1 0 0 0 0 2 -1 0 1 -1 0 -1 4 -1 0 -2 0 -1 0] [ 2 -1 0 -1 -1 1 2 1 -1 1 -1 -1 0 1 0 -1 4 1 1 -1 2 0] [ 2 0 -1 0 -1 1 2 -1 0 0 -1 -1 -1 0 -1 0 1 4 0 -2 0 0] [ 1 -1 0 0 -1 -1 -1 0 -2 0 -1 -1 2 -1 2 -2 1 0 4 0 1 1] [-2 0 1 0 1 -1 -2 1 0 0 1 0 1 0 1 0 -1 -2 0 4 1 0] [ 1 -1 -1 -2 -1 0 0 2 -2 2 0 -1 1 1 0 -1 2 0 1 1 6 -2] [ 0 0 1 1 0 -1 -1 -2 -1 -2 0 1 1 -1 0 0 0 0 1 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 622. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 2 0 1 -1 1 1 -1 1 -1 2 1 1 -1 1 1 1 2] [ 1 4 0 -2 0 1 -1 1 1 0 2 0 1 1 -1 2 2 -2 0 2 -1 -1] [-1 0 4 -1 0 0 -1 -2 0 1 1 1 1 1 -2 -1 0 2 -2 1 1 -2] [-1 -2 -1 4 0 -2 2 1 -1 0 -2 1 -1 -1 0 -2 -2 0 0 -2 0 0] [ 2 0 0 0 4 1 -1 -1 0 0 0 0 0 -2 0 0 1 0 0 0 0 2] [ 2 1 0 -2 1 4 0 1 1 0 1 -2 1 0 2 0 2 0 1 1 0 0] [ 0 -1 -1 2 -1 0 4 1 0 0 -1 -1 0 0 2 -2 -2 0 1 -1 0 -1] [ 1 1 -2 1 -1 1 1 6 1 -1 -1 0 1 0 2 -1 1 -2 0 -1 -1 1] [-1 1 0 -1 0 1 0 1 4 -2 0 0 1 0 0 0 1 0 0 0 -2 0] [ 1 0 1 0 0 0 0 -1 -2 4 0 0 0 1 -1 -1 0 1 -1 0 1 -1] [ 1 2 1 -2 0 1 -1 -1 0 0 4 0 0 1 0 2 1 0 0 2 0 -1] [-1 0 1 1 0 -2 -1 0 0 0 0 4 1 -1 -1 -1 -1 1 -2 0 0 -1] [ 1 1 1 -1 0 1 0 1 1 0 0 1 4 -1 1 0 0 0 -1 1 1 0] [-1 1 1 -1 -2 0 0 0 0 1 1 -1 -1 4 -1 0 1 0 0 1 -1 -2] [ 2 -1 -2 0 0 2 2 2 0 -1 0 -1 1 -1 6 0 0 0 1 0 0 1] [ 1 2 -1 -2 0 0 -2 -1 0 -1 2 -1 0 0 0 6 2 -2 1 2 0 2] [ 1 2 0 -2 1 2 -2 1 1 0 1 -1 0 1 0 2 4 -1 0 1 -1 1] [-1 -2 2 0 0 0 0 -2 0 1 0 1 0 0 0 -2 -1 4 -1 0 1 -1] [ 1 0 -2 0 0 1 1 0 0 -1 0 -2 -1 0 1 1 0 -1 4 0 0 1] [ 1 2 1 -2 0 1 -1 -1 0 0 2 0 1 1 0 2 1 0 0 4 1 -1] [ 1 -1 1 0 0 0 0 -1 -2 1 0 0 1 -1 0 0 -1 1 0 1 4 0] [ 2 -1 -2 0 2 0 -1 1 0 -1 -1 -1 0 -2 1 2 1 -1 1 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 623. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 0 1 2 -1 1 -1 1 -1 2 0 1 1 1 -1 -1 1 1 0] [ 2 4 0 1 -1 1 2 -1 0 -2 1 -2 1 1 0 0 2 0 -1 0 0 1] [ 0 0 4 -2 2 -2 -1 -1 -1 0 1 -1 1 1 1 -1 1 -1 0 1 0 0] [ 1 1 -2 4 -2 2 1 1 0 0 -1 0 0 -1 -1 0 0 -1 -1 1 1 -1] [ 0 -1 2 -2 4 -2 -1 0 0 1 1 0 0 1 2 1 -1 -1 1 1 -1 -1] [ 1 1 -2 2 -2 4 2 1 0 -1 0 0 -1 -1 0 0 1 0 0 0 0 0] [ 2 2 -1 1 -1 2 4 -1 0 -2 0 0 1 1 0 0 2 0 0 0 0 0] [-1 -1 -1 1 0 1 -1 4 -1 1 -1 0 -1 -1 0 0 -2 0 1 0 -1 0] [ 1 0 -1 0 0 0 0 -1 4 1 0 1 0 1 1 0 0 1 -1 -1 0 -1] [-1 -2 0 0 1 -1 -2 1 1 4 0 1 -1 -1 0 -1 -2 -1 1 1 -1 -2] [ 1 1 1 -1 1 0 0 -1 0 0 4 0 0 0 0 0 0 0 1 0 -1 0] [-1 -2 -1 0 0 0 0 0 1 1 0 4 -1 0 -1 0 -1 0 0 -1 0 -1] [ 2 1 1 0 0 -1 1 -1 0 -1 0 -1 4 0 1 0 1 -1 0 1 1 1] [ 0 1 1 -1 1 -1 1 -1 1 -1 0 0 0 4 0 0 1 1 -1 -1 0 0] [ 1 0 1 -1 2 0 0 0 1 0 0 -1 1 0 4 0 0 -1 1 1 -1 0] [ 1 0 -1 0 1 0 0 0 0 -1 0 0 0 0 0 4 0 0 -1 0 1 1] [ 1 2 1 0 -1 1 2 -2 0 -2 0 -1 1 1 0 0 4 0 -1 0 1 1] [-1 0 -1 -1 -1 0 0 0 1 -1 0 0 -1 1 -1 0 0 4 0 -2 0 1] [-1 -1 0 -1 1 0 0 1 -1 1 1 0 0 -1 1 -1 -1 0 4 0 -2 0] [ 1 0 1 1 1 0 0 0 -1 1 0 -1 1 -1 1 0 0 -2 0 4 1 -1] [ 1 0 0 1 -1 0 0 -1 0 -1 -1 0 1 0 -1 1 1 0 -2 1 4 0] [ 0 1 0 -1 -1 0 0 0 -1 -2 0 -1 1 0 0 1 1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 624. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 1 0 2 0 2 -1 1 0 -1 0 0 0 0 0 1 0] [ 2 4 -2 1 -1 -1 0 -1 2 1 2 -1 0 -1 -1 1 -1 -1 0 1 -1 0] [-2 -2 4 1 2 1 0 0 -1 0 -2 1 -1 -1 1 -1 0 -1 0 0 0 1] [ 0 1 1 4 2 1 -1 0 -1 0 -1 1 1 -2 -1 -1 1 -2 -1 0 1 2] [-1 -1 2 2 4 2 0 0 -2 0 -1 2 1 -2 -1 -2 0 -2 0 0 0 2] [ 1 -1 1 1 2 4 1 1 -1 -1 -1 0 1 -1 -1 -1 1 0 0 -1 2 2] [ 1 0 0 -1 0 1 4 -1 0 0 2 -1 1 0 -1 1 -1 0 2 1 1 0] [ 0 -1 0 0 0 1 -1 4 1 -2 -2 1 0 1 0 0 0 1 -2 -2 2 1] [ 2 2 -1 -1 -2 -1 0 1 6 -1 0 -1 -1 1 1 1 0 1 0 0 -1 0] [ 0 1 0 0 0 -1 0 -2 -1 4 1 0 0 0 -1 -1 -1 -1 0 0 -2 -1] [ 2 2 -2 -1 -1 -1 2 -2 0 1 6 -2 1 0 -1 1 -1 0 2 1 0 -1] [-1 -1 1 1 2 0 -1 1 -1 0 -2 4 1 -1 -1 -2 0 -1 -1 -1 -1 0] [ 1 0 -1 1 1 1 1 0 -1 0 1 1 4 -1 -1 -1 1 -1 1 0 1 1] [ 0 -1 -1 -2 -2 -1 0 1 1 0 0 -1 -1 4 0 1 0 2 -1 -1 1 -1] [-1 -1 1 -1 -1 -1 -1 0 1 -1 -1 -1 -1 0 4 0 0 0 1 1 -1 0] [ 0 1 -1 -1 -2 -1 1 0 1 -1 1 -2 -1 1 0 4 0 1 0 1 1 0] [ 0 -1 0 1 0 1 -1 0 0 -1 -1 0 1 0 0 0 4 1 0 -1 1 1] [ 0 -1 -1 -2 -2 0 0 1 1 -1 0 -1 -1 2 0 1 1 4 0 -1 1 -1] [ 0 0 0 -1 0 0 2 -2 0 0 2 -1 1 -1 1 0 0 0 4 1 -1 0] [ 0 1 0 0 0 -1 1 -2 0 0 1 -1 0 -1 1 1 -1 -1 1 4 0 0] [ 1 -1 0 1 0 2 1 2 -1 -2 0 -1 1 1 -1 1 1 1 -1 0 6 1] [ 0 0 1 2 2 2 0 1 0 -1 -1 0 1 -1 0 0 1 -1 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 625. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 0 -2 -1 1 0 1 -2 2 -1 1 -1 -1 2 0 1 0 1 1] [-1 4 -1 -2 1 0 0 -2 0 1 1 0 0 0 1 0 -1 1 -2 -1 0 1] [ 2 -1 6 3 -2 -1 1 1 1 1 -1 3 -1 2 1 1 0 -2 0 2 1 1] [ 1 -2 3 6 -1 1 2 2 2 -1 1 0 -2 1 2 2 0 -1 0 1 -1 -1] [ 0 1 -2 -1 4 0 0 0 1 -1 0 -1 0 -1 0 0 1 2 -1 -2 0 1] [-2 0 -1 1 0 4 2 -1 0 -2 2 -2 1 -1 1 1 -2 0 -1 0 0 -2] [-1 0 1 2 0 2 4 1 0 -1 1 -1 -1 1 2 2 -1 0 -2 0 0 -1] [ 1 -2 1 2 0 -1 1 4 0 -1 0 0 -1 1 0 0 2 0 1 0 -1 0] [ 0 0 1 2 1 0 0 0 4 0 0 0 -1 0 1 0 0 1 0 -1 -1 1] [ 1 1 1 -1 -1 -2 -1 -1 0 4 -1 1 -1 0 0 0 0 0 0 0 1 2] [-2 1 -1 1 0 2 1 0 0 -1 4 -2 1 -1 1 1 -1 0 -1 0 -1 -1] [ 2 0 3 0 -1 -2 -1 0 0 1 -2 4 -1 2 0 0 1 -1 0 1 1 1] [-1 0 -1 -2 0 1 -1 -1 -1 -1 1 -1 4 -1 -1 -1 0 -1 1 1 1 -1] [ 1 0 2 1 -1 -1 1 1 0 0 -1 2 -1 4 1 0 0 0 0 0 1 0] [-1 1 1 2 0 1 2 0 1 0 1 0 -1 1 4 2 -1 -1 -2 0 0 0] [-1 0 1 2 0 1 2 0 0 0 1 0 -1 0 2 4 0 -1 -2 1 0 0] [ 2 -1 0 0 1 -2 -1 2 0 0 -1 1 0 0 -1 0 4 0 1 0 0 1] [ 0 1 -2 -1 2 0 0 0 1 0 0 -1 -1 0 -1 -1 0 4 0 -2 0 1] [ 1 -2 0 0 -1 -1 -2 1 0 0 -1 0 1 0 -2 -2 1 0 4 0 0 0] [ 0 -1 2 1 -2 0 0 0 -1 0 0 1 1 0 0 1 0 -2 0 4 1 -1] [ 1 0 1 -1 0 0 0 -1 -1 1 -1 1 1 1 0 0 0 0 0 1 4 0] [ 1 1 1 -1 1 -2 -1 0 1 2 -1 1 -1 0 0 0 1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 626. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 1 -1 -1 0 -1 2 1 -1 2 -2 -1 2 1 2 -1 2 0 1] [ 1 4 1 -2 2 -2 -2 -1 0 0 1 -1 0 0 -2 -1 2 0 -1 -1 -1 0] [ 0 1 4 -1 1 -1 0 -2 0 1 1 1 0 1 -1 1 -1 -1 0 0 -2 -1] [-1 -2 -1 4 -2 1 0 0 -1 -1 -1 1 -1 0 2 1 -1 0 0 -1 1 1] [ 1 2 1 -2 4 -2 0 0 1 0 1 -1 1 0 -1 -1 0 0 -1 -1 0 0] [-1 -2 -1 1 -2 4 2 1 -1 -1 0 1 0 -1 0 -1 -1 0 0 0 0 0] [-1 -2 0 0 0 2 4 0 0 0 0 0 1 0 0 0 -2 0 0 0 0 0] [ 0 -1 -2 0 0 1 0 4 1 -1 0 -1 0 0 0 -1 0 0 1 1 1 1] [-1 0 0 -1 1 -1 0 1 4 -1 -1 0 -1 2 0 -2 1 0 2 1 1 0] [ 2 0 1 -1 0 -1 0 -1 -1 4 1 0 2 -1 0 3 0 1 0 2 0 -1] [ 1 1 1 -1 1 0 0 0 -1 1 4 1 1 -1 -1 1 0 -1 -2 0 0 0] [-1 -1 1 1 -1 1 0 -1 0 0 1 4 -1 0 0 0 -1 -1 0 -1 0 -1] [ 2 0 0 -1 1 0 1 0 -1 2 1 -1 4 -2 -1 2 0 2 -1 2 0 1] [-2 0 1 0 0 -1 0 0 2 -1 -1 0 -2 4 1 -1 0 -2 2 0 0 0] [-1 -2 -1 2 -1 0 0 0 0 0 -1 0 -1 1 4 0 -1 -1 1 0 1 0] [ 2 -1 1 1 -1 -1 0 -1 -2 3 1 0 2 -1 0 6 0 1 -1 2 0 1] [ 1 2 -1 -1 0 -1 -2 0 1 0 0 -1 0 0 -1 0 4 1 0 1 1 1] [ 2 0 -1 0 0 0 0 0 0 1 -1 -1 2 -2 -1 1 1 4 0 2 1 1] [-1 -1 0 0 -1 0 0 1 2 0 -2 0 -1 2 1 -1 0 0 4 1 0 0] [ 2 -1 0 -1 -1 0 0 1 1 2 0 -1 2 0 0 2 1 2 1 6 1 1] [ 0 -1 -2 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 4 0] [ 1 0 -1 1 0 0 0 1 0 -1 0 -1 1 0 0 1 1 1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 627. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 2 1 2 -1 -1 -1 -2 -1 1 0 2 2 -1 -1 -1 2 1 -2 -1] [ 1 4 2 -1 2 1 0 -2 0 -1 0 -1 1 2 0 1 0 -2 2 2 -1 -1] [ 1 2 4 1 2 2 1 -2 1 -2 0 -1 0 0 -1 0 1 0 2 2 -2 -2] [ 2 -1 1 4 1 2 -1 -1 -1 -1 0 1 -1 0 1 -2 -1 0 1 0 -1 -1] [ 1 2 2 1 4 1 -1 -1 1 0 0 -1 0 0 -1 0 -1 -2 2 2 0 0] [ 2 1 2 2 1 4 -1 -1 -1 -1 0 1 0 0 1 0 -1 0 1 1 -1 -1] [-1 0 1 -1 -1 -1 4 -1 1 0 1 -1 -1 0 -2 0 2 1 0 0 -1 0] [-1 -2 -2 -1 -1 -1 -1 4 0 2 0 1 0 -2 0 1 -1 1 -2 -1 2 2] [-1 0 1 -1 1 -1 1 0 4 -1 1 -1 -1 -2 -2 0 1 0 0 1 -1 1] [-2 -1 -2 -1 0 -1 0 2 -1 6 1 0 1 -2 -2 2 -1 0 -1 0 3 3] [-1 0 0 0 0 0 1 0 1 1 4 -1 -1 -1 0 1 0 0 -1 0 0 0] [ 1 -1 -1 1 -1 1 -1 1 -1 0 -1 4 -1 0 1 -1 -2 1 0 -1 -1 1] [ 0 1 0 -1 0 0 -1 0 -1 1 -1 -1 4 1 1 1 1 0 1 0 0 -1] [ 2 2 0 0 0 0 0 -2 -2 -2 -1 0 1 6 3 -1 0 -2 2 0 -2 -3] [ 2 0 -1 1 -1 1 -2 0 -2 -2 0 1 1 3 6 0 0 0 0 -1 -2 -3] [-1 1 0 -2 0 0 0 1 0 2 1 -1 1 -1 0 4 1 0 -1 1 1 1] [-1 0 1 -1 -1 -1 2 -1 1 -1 0 -2 1 0 0 1 4 1 0 0 -1 -1] [-1 -2 0 0 -2 0 1 1 0 0 0 1 0 -2 0 0 1 4 -1 -1 0 0] [ 2 2 2 1 2 1 0 -2 0 -1 -1 0 1 2 0 -1 0 -1 4 1 -2 -1] [ 1 2 2 0 2 1 0 -1 1 0 0 -1 0 0 -1 1 0 -1 1 4 0 0] [-2 -1 -2 -1 0 -1 -1 2 -1 3 0 -1 0 -2 -2 1 -1 0 -2 0 6 2] [-1 -1 -2 -1 0 -1 0 2 1 3 0 1 -1 -3 -3 1 -1 0 -1 0 2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 628. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 1 1 0 1 0 1 -2 1 1 1 0 -1 1 -2 0 -2 -2 -2] [ 0 4 -1 -1 1 -1 2 -1 2 -1 1 -2 -1 1 1 1 -1 -1 1 1 -2 -2] [ 1 -1 4 -1 0 -1 1 -1 1 0 0 1 -1 0 1 1 -1 -1 1 0 0 -1] [-1 -1 -1 4 -2 -1 -1 0 0 1 1 1 -1 -2 0 -1 2 1 0 0 0 0] [ 1 1 0 -2 4 0 1 1 1 0 -1 -2 2 2 0 1 -1 -1 -1 0 0 0] [ 1 -1 -1 -1 0 4 -2 2 -2 1 -2 1 2 1 -2 -1 0 0 0 -1 1 1] [ 0 2 1 -1 1 -2 4 -1 2 -1 1 -1 -1 1 1 1 -2 0 1 0 -2 -1] [ 1 -1 -1 0 1 2 -1 4 -1 2 -2 0 3 1 -2 0 0 0 0 -1 1 0] [ 0 2 1 0 1 -2 2 -1 4 0 1 -1 -2 1 2 2 -1 0 1 0 -2 -1] [ 1 -1 0 1 0 1 -1 2 0 4 -2 0 1 1 0 0 1 0 1 -1 1 -1] [-2 1 0 1 -1 -2 1 -2 1 -2 4 -1 -2 -2 0 1 -1 0 0 2 0 0] [ 1 -2 1 1 -2 1 -1 0 -1 0 -1 6 -2 -1 -1 -2 1 0 1 -1 -1 2] [ 1 -1 -1 -1 2 2 -1 3 -2 1 -2 -2 6 1 -2 0 0 -1 -2 -1 2 0] [ 1 1 0 -2 2 1 1 1 1 1 -2 -1 1 4 0 1 -1 0 0 -1 0 0] [ 0 1 1 0 0 -2 1 -2 2 0 0 -1 -2 0 4 0 0 0 1 0 -2 -1] [-1 1 1 -1 1 -1 1 0 2 0 1 -2 0 1 0 4 -1 0 0 1 1 0] [ 1 -1 -1 2 -1 0 -2 0 -1 1 -1 1 0 -1 0 -1 4 0 -1 -1 0 0] [-2 -1 -1 1 -1 0 0 0 0 0 0 0 -1 0 0 0 0 4 0 0 1 2] [ 0 1 1 0 -1 0 1 0 1 1 0 1 -2 0 1 0 -1 0 4 0 -1 -1] [-2 1 0 0 0 -1 0 -1 0 -1 2 -1 -1 -1 0 1 -1 0 0 4 2 0] [-2 -2 0 0 0 1 -2 1 -2 1 0 -1 2 0 -2 1 0 1 -1 2 6 1] [-2 -2 -1 0 0 1 -1 0 -1 -1 0 2 0 0 -1 0 0 2 -1 0 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 629. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 1 1 -2 -1 0 0 2 1 0 1 0 -1 1 1 0 1] [-2 4 -2 1 1 0 -2 -1 2 -1 1 0 -2 -1 -1 -1 1 -1 -1 1 1 0] [ 2 -2 4 0 -1 -1 2 0 -2 1 -1 0 2 2 0 1 0 0 0 0 -1 1] [-2 1 0 4 1 -1 1 0 0 1 0 1 -2 1 1 -1 0 0 0 0 -1 1] [ 0 1 -1 1 4 -2 -1 -1 1 0 0 0 -2 -1 -1 -1 1 0 -1 0 0 0] [-1 0 -1 -1 -2 6 -2 0 0 0 -1 -1 2 0 0 -1 -1 -1 0 1 -1 -1] [ 1 -2 2 1 -1 -2 6 2 -2 2 1 2 2 2 1 0 -2 1 2 -1 0 2] [ 1 -1 0 0 -1 0 2 4 -2 0 1 0 1 1 0 0 0 0 1 0 0 0] [-2 2 -2 0 1 0 -2 -2 4 -1 0 0 -2 -1 -1 0 0 0 -1 0 0 0] [-1 -1 1 1 0 0 2 0 -1 4 0 1 1 1 0 0 -1 1 -1 -1 -1 0] [ 0 1 -1 0 0 -1 1 1 0 0 4 0 1 0 -1 -1 1 -1 1 1 1 0] [ 0 0 0 1 0 -1 2 0 0 1 0 4 -1 1 1 1 -2 -1 0 0 0 2] [ 2 -2 2 -2 -2 2 2 1 -2 1 1 -1 6 1 -1 -1 0 0 1 0 0 0] [ 1 -1 2 1 -1 0 2 1 -1 1 0 1 1 4 0 1 -1 -1 0 1 -1 2] [ 0 -1 0 1 -1 0 1 0 -1 0 -1 1 -1 0 4 0 -2 0 2 0 -1 1] [ 1 -1 1 -1 -1 -1 0 0 0 0 -1 1 -1 1 0 4 0 0 -1 0 0 1] [ 0 1 0 0 1 -1 -2 0 0 -1 1 -2 0 -1 -2 0 4 0 -1 0 1 -1] [-1 -1 0 0 0 -1 1 0 0 1 -1 -1 0 -1 0 0 0 4 0 -2 1 -1] [ 1 -1 0 0 -1 0 2 1 -1 -1 1 0 1 0 2 -1 -1 0 4 0 0 1] [ 1 1 0 0 0 1 -1 0 0 -1 1 0 0 1 0 0 0 -2 0 4 0 1] [ 0 1 -1 -1 0 -1 0 0 0 -1 1 0 0 -1 -1 0 1 1 0 0 4 -1] [ 1 0 1 1 0 -1 2 0 0 0 0 2 0 2 1 1 -1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 630. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 1 -1 -1 -1 1 -1 1 -1 -2 0 2 2 -1 -1 1 0 1 -2] [ 0 4 -1 -1 2 2 -2 -2 1 2 1 -1 0 2 2 0 -1 2 -1 0 -2 1] [ 1 -1 4 0 0 0 1 1 -1 -1 1 0 1 1 1 1 0 -2 1 1 2 1] [ 2 -1 0 4 -1 -1 1 1 0 -2 1 1 -1 -2 -1 1 1 -2 0 0 2 -2] [ 1 2 0 -1 4 1 -2 -2 2 0 0 -1 0 2 1 0 -1 2 -1 1 -2 1] [-1 2 0 -1 1 4 -1 -1 -1 2 0 -1 1 1 1 -1 -1 2 -2 0 -1 1] [-1 -2 1 1 -2 -1 4 2 -1 -2 0 1 1 -1 -2 0 2 -1 1 1 1 1] [-1 -2 1 1 -2 -1 2 4 -1 -2 0 2 1 -1 -2 -1 1 -1 1 1 1 1] [ 1 1 -1 0 2 -1 -1 -1 4 -1 -1 0 -1 1 0 1 0 1 0 0 -1 1] [-1 2 -1 -2 0 2 -2 -2 -1 6 -1 -2 -1 1 3 0 -2 2 -1 -2 -2 -1] [ 1 1 1 1 0 0 0 0 -1 -1 4 1 0 0 0 0 1 -1 1 0 1 -1] [-1 -1 0 1 -1 -1 1 2 0 -2 1 4 0 -1 -3 0 2 -1 0 0 1 0] [-2 0 1 -1 0 1 1 1 -1 -1 0 0 4 1 -1 -1 0 0 -1 1 0 3] [ 0 2 1 -2 2 1 -1 -1 1 1 0 -1 1 4 2 0 -1 2 0 0 -2 2] [ 2 2 1 -1 1 1 -2 -2 0 3 0 -3 -1 2 6 2 -3 0 1 0 0 0] [ 2 0 1 1 0 -1 0 -1 1 0 0 0 -1 0 2 4 -1 -2 1 0 2 0] [-1 -1 0 1 -1 -1 2 1 0 -2 1 2 0 -1 -3 -1 4 -1 0 0 1 0] [-1 2 -2 -2 2 2 -1 -1 1 2 -1 -1 0 2 0 -2 -1 6 -1 0 -4 1] [ 1 -1 1 0 -1 -2 1 1 0 -1 1 0 -1 0 1 1 0 -1 4 0 1 0] [ 0 0 1 0 1 0 1 1 0 -2 0 0 1 0 0 0 0 0 0 4 1 2] [ 1 -2 2 2 -2 -1 1 1 -1 -2 1 1 0 -2 0 2 1 -4 1 1 6 -1] [-2 1 1 -2 1 1 1 1 1 -1 -1 0 3 2 0 0 0 1 0 2 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 631. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -2 1 -2 -1 -2 0 0 2 0 -1 0 2 1 1 -1 0 0] [-2 4 1 0 -1 2 -1 2 0 1 1 -1 -1 -1 1 1 0 0 -1 2 0 -1] [ 0 1 4 0 1 1 1 1 -2 0 2 -2 0 -2 2 1 2 1 0 -1 0 1] [ 0 0 0 4 -2 1 -2 2 -2 -2 0 -1 0 0 0 -1 0 0 2 0 -1 2] [ 1 -1 1 -2 4 -1 2 -1 1 1 1 1 1 -1 1 0 2 1 -1 -2 0 0] [-2 2 1 1 -1 4 -2 2 0 0 0 0 -2 -1 1 1 0 0 0 1 0 0] [ 1 -1 1 -2 2 -2 4 -1 0 0 0 0 1 -1 1 1 0 0 0 -2 0 0] [-2 2 1 2 -1 2 -1 4 -1 0 1 -1 -1 -1 1 0 0 0 0 0 -1 1] [-1 0 -2 -2 1 0 0 -1 4 2 -1 2 0 1 -1 0 -1 -1 -1 0 1 -1] [-2 1 0 -2 1 0 0 0 2 4 1 0 0 0 0 0 -1 0 -2 1 0 -1] [ 0 1 2 0 1 0 0 1 -1 1 4 -1 1 -1 1 -1 2 1 -1 -1 -1 0] [ 0 -1 -2 -1 1 0 0 -1 2 0 -1 4 -1 0 -1 -1 0 0 -1 -1 1 -1] [ 2 -1 0 0 1 -2 1 -1 0 0 1 -1 4 0 0 0 0 1 1 0 -1 1] [ 0 -1 -2 0 -1 -1 -1 -1 1 0 -1 0 0 4 -1 -1 -1 -2 0 0 1 -1] [-1 1 2 0 1 1 1 1 -1 0 1 -1 0 -1 4 1 0 1 0 -1 0 1] [ 0 1 1 -1 0 1 1 0 0 0 -1 -1 0 -1 1 4 0 1 1 1 1 0] [ 2 0 2 0 2 0 0 0 -1 -1 2 0 0 -1 0 0 6 2 -1 -1 0 0] [ 1 0 1 0 1 0 0 0 -1 0 1 0 1 -2 1 1 2 4 0 1 0 1] [ 1 -1 0 2 -1 0 0 0 -1 -2 -1 -1 1 0 0 1 -1 0 4 -1 0 2] [-1 2 -1 0 -2 1 -2 0 0 1 -1 -1 0 0 -1 1 -1 1 -1 6 0 -1] [ 0 0 0 -1 0 0 0 -1 1 0 -1 1 -1 1 0 1 0 0 0 0 4 -1] [ 0 -1 1 2 0 0 0 1 -1 -1 0 -1 1 -1 1 0 0 1 2 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 632. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 1 -1 0 0 2 0 -1 1 0 -1 0 -1 -1 1 0 0] [-2 4 -2 2 -1 1 1 0 -1 1 -2 1 0 -2 0 0 1 0 0 0 1 -1] [ 2 -2 4 -2 0 -1 0 -1 1 -1 0 0 0 2 0 0 0 0 -1 0 -1 0] [-2 2 -2 4 0 2 -1 1 -1 1 -2 0 0 -2 1 1 1 0 0 0 0 -1] [ 1 -1 0 0 4 0 0 1 -1 1 1 -2 1 1 1 1 -1 -1 0 1 1 0] [-1 1 -1 2 0 4 -2 2 1 -1 -1 0 0 -1 -1 2 2 0 0 0 0 1] [ 1 1 0 -1 0 -2 4 -2 -2 1 1 0 -1 0 0 -1 0 0 -1 0 1 -1] [-1 0 -1 1 1 2 -2 4 1 0 -1 -1 1 0 -1 1 1 -1 1 1 0 1] [ 0 -1 1 -1 -1 1 -2 1 4 -2 -1 1 1 0 -1 1 0 1 1 -1 -1 2] [ 0 1 -1 1 1 -1 1 0 -2 4 0 0 1 -1 2 -1 -1 0 -1 0 0 -1] [ 2 -2 0 -2 1 -1 1 -1 -1 0 6 -1 -1 0 0 0 -2 1 1 -1 -1 -1] [ 0 1 0 0 -2 0 0 -1 1 0 -1 4 -1 -1 1 -1 0 0 -1 0 0 0] [-1 0 0 0 1 0 -1 1 1 1 -1 -1 4 0 0 1 -1 0 0 -1 0 1] [ 1 -2 2 -2 1 -1 0 0 0 -1 0 -1 0 4 -1 0 0 -1 -1 1 1 1] [ 0 0 0 1 1 -1 0 -1 -1 2 0 1 0 -1 4 -1 -2 0 0 0 -1 -1] [-1 0 0 1 1 2 -1 1 1 -1 0 -1 1 0 -1 4 1 1 0 -1 0 1] [ 0 1 0 1 -1 2 0 1 0 -1 -2 0 -1 0 -2 1 4 -1 -1 1 1 1] [-1 0 0 0 -1 0 0 -1 1 0 1 0 0 -1 0 1 -1 4 1 -2 -1 0] [-1 0 -1 0 0 0 -1 1 1 -1 1 -1 0 -1 0 0 -1 1 4 -1 -1 0] [ 1 0 0 0 1 0 0 1 -1 0 -1 0 -1 1 0 -1 1 -2 -1 4 2 0] [ 0 1 -1 0 1 0 1 0 -1 0 -1 0 0 1 -1 0 1 -1 -1 2 4 0] [ 0 -1 0 -1 0 1 -1 1 2 -1 -1 0 1 1 -1 1 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 633. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 0 -2 0 -1 -1 -1 -1 1 0 0 0 -1 -1 -1 0 1 1 0] [ 2 6 1 -1 0 1 1 -2 -2 -2 1 1 -2 0 1 2 1 -3 -2 3 0 0] [ 0 1 4 1 0 -1 0 0 -1 0 -1 -1 0 -1 0 0 2 0 -2 0 1 -1] [ 1 -1 1 4 1 -1 1 1 1 0 -2 1 1 0 1 -2 -1 2 1 -2 2 -1] [ 0 0 0 1 4 2 2 2 1 1 1 1 -1 -1 -1 0 -1 2 0 -2 0 -2] [-2 1 -1 -1 2 6 1 0 2 1 2 1 -2 -1 1 2 1 0 -1 0 0 0] [ 0 1 0 1 2 1 4 2 0 1 1 2 0 -1 0 0 -1 2 0 -2 0 0] [-1 -2 0 1 2 0 2 4 0 1 1 1 0 -1 -1 -1 -1 3 1 -3 0 -1] [-1 -2 -1 1 1 2 0 0 4 2 -1 1 0 0 1 -1 -1 2 1 -2 0 0] [-1 -2 0 0 1 1 1 1 2 4 0 0 0 -1 0 0 0 2 0 -2 -1 1] [-1 1 -1 -2 1 2 1 1 -1 0 4 0 -2 -1 -1 2 0 0 -1 0 -1 0] [ 1 1 -1 1 1 1 2 1 1 0 0 4 -1 0 1 -1 -1 1 1 -1 0 0] [ 0 -2 0 1 -1 -2 0 0 0 0 -2 -1 4 0 0 -1 -1 1 1 -1 1 0] [ 0 0 -1 0 -1 -1 -1 -1 0 -1 -1 0 0 4 1 -1 -1 0 2 0 0 0] [ 0 1 0 1 -1 1 0 -1 1 0 -1 1 0 1 4 0 0 -1 0 0 1 1] [-1 2 0 -2 0 2 0 -1 -1 0 2 -1 -1 -1 0 4 2 -2 -2 2 -1 1] [-1 1 2 -1 -1 1 -1 -1 -1 0 0 -1 -1 -1 0 2 4 -2 -2 2 0 1] [-1 -3 0 2 2 0 2 3 2 2 0 1 1 0 -1 -2 -2 6 2 -4 1 -1] [ 0 -2 -2 1 0 -1 0 1 1 0 -1 1 1 2 0 -2 -2 2 4 -2 0 0] [ 1 3 0 -2 -2 0 -2 -3 -2 -2 0 -1 -1 0 0 2 2 -4 -2 6 0 1] [ 1 0 1 2 0 0 0 0 0 -1 -1 0 1 0 1 -1 0 1 0 0 4 -1] [ 0 0 -1 -1 -2 0 0 -1 0 1 0 0 0 0 1 1 1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 634. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 0 2 0 -1 1 1 -1 2 0 1 -1 -1 -1 1 1 -1 -1] [ 1 4 1 0 0 -1 0 0 1 0 2 -1 1 -1 1 0 0 -2 0 2 -2 -1] [-1 1 4 2 1 1 0 1 0 1 2 0 1 1 -1 0 2 -1 1 1 -2 0] [-1 0 2 4 0 1 0 0 0 1 1 1 1 1 -2 -1 0 -1 1 1 -2 0] [-1 0 1 0 4 -1 -1 2 -1 0 0 -1 -2 0 0 -1 0 0 -1 0 0 0] [ 0 -1 1 1 -1 4 2 0 0 0 0 0 2 2 -1 0 2 1 2 -1 1 -1] [ 2 0 0 0 -1 2 4 1 0 0 0 -1 3 2 0 0 0 0 2 0 0 0] [ 0 0 1 0 2 0 1 4 -1 0 0 0 1 1 0 -1 0 0 0 0 0 0] [-1 1 0 0 -1 0 0 -1 4 -2 0 1 1 0 1 0 1 1 0 -1 1 0] [ 1 0 1 1 0 0 0 0 -2 4 0 0 0 1 0 0 0 -1 1 1 -1 -1] [ 1 2 2 1 0 0 0 0 0 0 4 0 1 -1 -1 0 0 -2 0 2 -2 -1] [-1 -1 0 1 -1 0 -1 0 1 0 0 4 0 0 -1 0 0 0 -1 -1 1 0] [ 2 1 1 1 -2 2 3 1 1 0 1 0 6 1 1 -1 1 -1 3 1 -1 0] [ 0 -1 1 1 0 2 2 1 0 1 -1 0 1 4 -1 0 1 1 1 -1 1 0] [ 1 1 -1 -2 0 -1 0 0 1 0 -1 -1 1 -1 4 -1 0 0 1 0 0 0] [-1 0 0 -1 -1 0 0 -1 0 0 0 0 -1 0 -1 4 1 0 -1 0 1 1] [-1 0 2 0 0 2 0 0 1 0 0 0 1 1 0 1 4 1 1 -1 1 0] [-1 -2 -1 -1 0 1 0 0 1 -1 -2 0 -1 1 0 0 1 4 0 -2 3 0] [ 1 0 1 1 -1 2 2 0 0 1 0 -1 3 1 1 -1 1 0 4 0 -1 0] [ 1 2 1 1 0 -1 0 0 -1 1 2 -1 1 -1 0 0 -1 -2 0 4 -2 0] [-1 -2 -2 -2 0 1 0 0 1 -1 -2 1 -1 1 0 1 1 3 -1 -2 6 -1] [-1 -1 0 0 0 -1 0 0 0 -1 -1 0 0 0 0 1 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 635. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 -1 0 1 0 1 1 1 2 -1 1 -1 2 -1 -1 0] [-2 4 -2 2 1 -1 1 0 1 0 -1 0 0 -1 0 0 0 0 -1 2 0 1] [ 2 -2 4 -2 -1 0 -1 -1 -1 0 0 0 1 1 1 -1 1 1 0 -1 1 0] [-2 2 -2 4 1 0 2 0 1 -1 1 -1 -1 -1 -2 0 -1 0 -1 0 0 1] [ 0 1 -1 1 4 -1 2 1 -1 -1 1 1 -1 1 -1 -1 -1 -1 -1 0 0 2] [ 1 -1 0 0 -1 4 0 1 0 -1 0 1 -1 0 -1 -1 -1 -1 1 -1 0 0] [-1 1 -1 2 2 0 4 0 -1 -2 2 1 -2 1 -1 0 -2 0 -2 0 0 2] [-1 0 -1 0 1 1 0 4 0 -1 0 0 -2 1 -1 -1 -2 -1 0 0 1 1] [ 0 1 -1 1 -1 0 -1 0 4 1 0 -1 1 0 1 1 1 0 1 1 -1 0] [ 1 0 0 -1 -1 -1 -2 -1 1 4 -1 0 2 -1 2 0 1 -1 2 0 0 -1] [ 0 -1 0 1 1 0 2 0 0 -1 4 0 -1 1 0 0 -1 1 -1 -1 0 1] [ 1 0 0 -1 1 1 1 0 -1 0 0 4 -1 0 0 0 0 0 0 1 -1 1] [ 1 0 1 -1 -1 -1 -2 -2 1 2 -1 -1 4 -1 2 0 2 0 1 0 0 -1] [ 1 -1 1 -1 1 0 1 1 0 -1 1 0 -1 4 0 0 -1 -1 -1 0 1 1] [ 2 0 1 -2 -1 -1 -1 -1 1 2 0 0 2 0 6 -1 2 0 2 1 -1 -1] [-1 0 -1 0 -1 -1 0 -1 1 0 0 0 0 0 -1 4 1 1 -1 1 -1 0] [ 1 0 1 -1 -1 -1 -2 -2 1 1 -1 0 2 -1 2 1 4 1 1 1 -1 -1] [-1 0 1 0 -1 -1 0 -1 0 -1 1 0 0 -1 0 1 1 4 -1 1 0 0] [ 2 -1 0 -1 -1 1 -2 0 1 2 -1 0 1 -1 2 -1 1 -1 4 -1 -1 -1] [-1 2 -1 0 0 -1 0 0 1 0 -1 1 0 0 1 1 1 1 -1 4 0 0] [-1 0 1 0 0 0 0 1 -1 0 0 -1 0 1 -1 -1 -1 0 -1 0 4 0] [ 0 1 0 1 2 0 2 1 0 -1 1 1 -1 1 -1 0 -1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 636. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 -2 1 -1 0 1 1 -1 0 0 0 2 -1 -1 0 0 -2 0 0] [-2 4 -2 -2 2 -1 1 1 -1 0 0 1 -1 -1 -1 1 0 0 1 2 0 1] [ 2 -2 4 0 -2 2 -1 -1 2 0 0 1 0 1 1 0 -1 -1 0 -1 1 0] [ 2 -2 0 4 -2 0 -1 0 0 1 0 -2 1 1 1 -1 0 0 0 -1 -1 0] [-2 2 -2 -2 4 -1 2 1 -1 0 0 1 -1 -1 -2 1 0 0 0 2 0 1] [ 1 -1 2 0 -1 4 1 -2 0 0 0 2 1 -1 2 1 -1 0 1 -2 2 1] [-1 1 -1 -1 2 1 4 -1 -2 0 0 2 1 -2 -1 2 0 0 0 1 0 2] [ 0 1 -1 0 1 -2 -1 4 0 0 -1 -1 -2 1 -1 0 -1 1 -1 2 -1 0] [ 1 -1 2 0 -1 0 -2 0 4 1 1 -1 0 2 0 0 0 0 1 0 0 0] [ 1 0 0 1 0 0 0 0 1 4 -1 1 0 0 1 0 -1 -1 0 0 -1 1] [-1 0 0 0 0 0 0 -1 1 -1 4 -2 0 1 -1 0 1 -1 1 0 0 0] [ 0 1 1 -2 1 2 2 -1 -1 1 -2 6 1 -2 1 1 -2 -1 0 -1 2 2] [ 0 -1 0 1 -1 1 1 -2 0 0 0 1 4 -1 0 0 1 0 1 -1 1 1] [ 0 -1 1 1 -1 -1 -2 1 2 0 1 -2 -1 4 0 0 0 0 0 1 -1 0] [ 2 -1 1 1 -2 2 -1 -1 0 1 -1 1 0 0 4 -1 -1 0 0 -3 1 0] [-1 1 0 -1 1 1 2 0 0 0 0 1 0 0 -1 4 -1 1 0 2 0 2] [-1 0 -1 0 0 -1 0 -1 0 -1 1 -2 1 0 -1 -1 4 1 0 1 -1 -1] [ 0 0 -1 0 0 0 0 1 0 -1 -1 -1 0 0 0 1 1 4 0 1 0 0] [ 0 1 0 0 0 1 0 -1 1 0 1 0 1 0 0 0 0 0 4 -1 1 1] [-2 2 -1 -1 2 -2 1 2 0 0 0 -1 -1 1 -3 2 1 1 -1 6 -1 1] [ 0 0 1 -1 0 2 0 -1 0 -1 0 2 1 -1 1 0 -1 0 1 -1 4 0] [ 0 1 0 0 1 1 2 0 0 1 0 2 1 0 0 2 -1 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 637. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -1 0 0 -2 0 0 0 1 -1 2 -1 -2 1 1 0 0 1 -1 0] [-1 4 -2 -1 -1 1 0 1 0 -1 1 -1 0 0 -1 -1 0 0 -1 0 1 1] [ 1 -2 4 0 1 -1 0 0 0 1 0 1 1 0 -1 2 -1 -1 1 1 -2 -1] [-1 -1 0 4 -1 -1 1 -2 -1 0 -2 0 -1 1 2 1 -1 1 1 0 1 1] [ 0 -1 1 -1 4 0 0 1 -1 2 -1 0 -1 1 1 1 -1 -1 1 1 -1 -2] [ 0 1 -1 -1 0 4 -2 0 -1 1 0 1 -1 1 0 -1 -1 1 -1 0 0 0] [-2 0 0 1 0 -2 4 1 1 0 -1 0 0 0 2 0 -1 -1 1 -1 0 0] [ 0 1 0 -2 1 0 1 4 0 0 0 0 1 -1 -1 -1 -1 0 1 1 -1 -1] [ 0 0 0 -1 -1 -1 1 0 4 -1 1 -1 1 0 -1 0 1 -2 0 0 0 1] [ 0 -1 1 0 2 1 0 0 -1 4 -2 1 -1 2 2 1 -1 0 1 0 0 -2] [ 1 1 0 -2 -1 0 -1 0 1 -2 4 0 1 -2 -3 0 1 -1 -2 0 0 0] [-1 -1 1 0 0 1 0 0 -1 1 0 4 -1 0 0 0 -1 0 -1 -1 0 -1] [ 2 0 1 -1 -1 -1 0 1 1 -1 1 -1 4 -2 -1 0 1 -1 1 1 -1 1] [-1 0 0 1 1 1 0 -1 0 2 -2 0 -2 4 1 1 -1 0 0 0 1 0] [-2 -1 -1 2 1 0 2 -1 -1 2 -3 0 -1 1 6 -1 -1 0 2 -1 0 0] [ 1 -1 2 1 1 -1 0 -1 0 1 0 0 0 1 -1 4 0 -1 0 1 0 0] [ 1 0 -1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 0 4 0 -1 -1 1 1] [ 0 0 -1 1 -1 1 -1 0 -2 0 -1 0 -1 0 0 -1 0 4 0 0 1 0] [ 0 -1 1 1 1 -1 1 1 0 1 -2 -1 1 0 2 0 -1 0 4 1 -1 0] [ 1 0 1 0 1 0 -1 1 0 0 0 -1 1 0 -1 1 -1 0 1 4 0 0] [-1 1 -2 1 -1 0 0 -1 0 0 0 0 -1 1 0 0 1 1 -1 0 4 0] [ 0 1 -1 1 -2 0 0 -1 1 -2 0 -1 1 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 638. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 1 -2 -1 0 1 -1 1 -2 -1 0 -1 0 -1 -1 1 -2 0] [-2 6 2 -2 1 -2 1 0 -2 -1 -2 -1 1 -1 -1 0 -1 1 2 -1 1 -2] [ 0 2 4 -1 0 0 0 1 -2 -1 -1 1 -1 0 0 1 -1 -1 2 1 0 -2] [ 1 -2 -1 4 -1 2 0 1 0 2 1 1 -1 1 1 -1 2 -1 -1 1 1 1] [-2 1 0 -1 4 -2 2 1 0 -1 -1 0 2 1 -1 0 -1 1 0 -1 2 0] [ 1 -2 0 2 -2 4 -1 1 0 2 2 0 -1 1 2 0 2 -2 0 2 -1 0] [-2 1 0 0 2 -1 4 0 1 0 1 1 1 2 0 -1 -1 0 0 0 3 -1] [-1 0 1 1 1 1 0 4 -2 0 0 0 0 0 0 1 1 0 1 0 1 0] [ 0 -2 -2 0 0 0 1 -2 4 0 1 0 0 1 1 0 -1 0 -2 0 0 1] [ 1 -1 -1 2 -1 2 0 0 0 4 2 1 0 1 0 -1 1 -2 -1 2 -1 1] [-1 -2 -1 1 -1 2 1 0 1 2 6 1 1 2 0 1 0 -2 0 2 1 1] [ 1 -1 1 1 0 0 1 0 0 1 1 4 -1 1 -1 0 -1 -2 -1 1 1 0] [-2 1 -1 -1 2 -1 1 0 0 0 1 -1 4 0 0 0 0 0 1 0 1 1] [-1 -1 0 1 1 1 2 0 1 1 2 1 0 4 0 0 0 -1 -1 1 2 0] [ 0 -1 0 1 -1 2 0 0 1 0 0 -1 0 0 4 -1 1 -1 1 1 -1 0] [-1 0 1 -1 0 0 -1 1 0 -1 1 0 0 0 -1 4 0 0 0 0 0 1] [ 0 -1 -1 2 -1 2 -1 1 -1 1 0 -1 0 0 1 0 4 0 0 0 0 1] [-1 1 -1 -1 1 -2 0 0 0 -2 -2 -2 0 -1 -1 0 0 4 0 -2 1 0] [-1 2 2 -1 0 0 0 1 -2 -1 0 -1 1 -1 1 0 0 0 4 0 0 -1] [ 1 -1 1 1 -1 2 0 0 0 2 2 1 0 1 1 0 0 -2 0 4 0 0] [-2 1 0 1 2 -1 3 1 0 -1 1 1 1 2 -1 0 0 1 0 0 6 -1] [ 0 -2 -2 1 0 0 -1 0 1 1 1 0 1 0 0 1 1 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 639. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 0 1 1 2 -2 -1 0 -1 1 1 -1 1 2 -1 2 2 0 1] [ 1 4 2 -1 -1 -1 2 1 -2 -1 1 1 1 0 -2 0 0 -2 0 2 1 1] [ 2 2 4 -2 -1 -1 1 2 -2 -1 0 1 2 0 -1 1 0 -2 1 2 0 1] [-1 -1 -2 4 -1 0 0 0 2 1 1 0 -1 1 0 1 -1 0 -1 -2 1 -1] [ 0 -1 -1 -1 4 0 -2 -1 0 -1 0 0 -1 1 1 -2 1 2 0 0 0 1] [ 1 -1 -1 0 0 4 0 0 -1 0 -1 -2 0 0 1 1 1 1 0 -1 -1 1] [ 1 2 1 0 -2 0 4 2 -2 0 0 0 0 0 -2 1 0 -2 1 0 0 0] [ 2 1 2 0 -1 0 2 4 -1 0 0 0 0 0 -1 2 0 -1 2 0 0 0] [-2 -2 -2 2 0 -1 -2 -1 6 0 0 1 0 0 2 0 -2 1 0 -1 0 -1] [-1 -1 -1 1 -1 0 0 0 0 4 -1 -1 -1 0 0 0 1 1 0 0 -1 -1] [ 0 1 0 1 0 -1 0 0 0 -1 4 0 -1 1 -2 0 0 0 0 1 1 -1] [-1 1 1 0 0 -2 0 0 1 -1 0 4 0 -1 0 0 -2 -1 -1 -1 0 0] [ 1 1 2 -1 -1 0 0 0 0 -1 -1 0 4 0 1 0 0 -1 0 2 1 2] [ 1 0 0 1 1 0 0 0 0 0 1 -1 0 4 -1 0 1 0 0 1 1 1] [-1 -2 -1 0 1 1 -2 -1 2 0 -2 0 1 -1 4 -1 -1 1 0 -1 -1 1] [ 1 0 1 1 -2 1 1 2 0 0 0 0 0 0 -1 4 0 -1 0 -1 0 0] [ 2 0 0 -1 1 1 0 0 -2 1 0 -2 0 1 -1 0 4 1 1 2 0 1] [-1 -2 -2 0 2 1 -2 -1 1 1 0 -1 -1 0 1 -1 1 4 0 0 0 0] [ 2 0 1 -1 0 0 1 2 0 0 0 -1 0 0 0 0 1 0 4 1 -1 0] [ 2 2 2 -2 0 -1 0 0 -1 0 1 -1 2 1 -1 -1 2 0 1 6 1 1] [ 0 1 0 1 0 -1 0 0 0 -1 1 0 1 1 -1 0 0 0 -1 1 4 0] [ 1 1 1 -1 1 1 0 0 -1 -1 -1 0 2 1 1 0 1 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 640. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -2 1 -2 -1 -2 -1 -2 -1 -1 -1 1 -1 0 -1 0 -2 0 0 0] [ 2 4 2 -1 -1 -2 0 -2 -1 -2 -2 -2 -1 2 0 -1 0 0 0 0 -1 1] [ 2 2 6 -1 2 -2 -2 0 1 -2 -3 -3 1 -1 0 -2 -2 1 0 -1 1 2] [-2 -1 -1 6 -3 1 1 2 -2 1 0 0 0 1 1 1 -2 2 3 -2 1 0] [ 1 -1 2 -3 6 1 -2 -1 1 1 0 0 0 -2 -2 -2 1 -1 -3 1 1 0] [-2 -2 -2 1 1 4 1 1 1 2 1 2 0 -1 -1 0 1 0 1 0 0 0] [-1 0 -2 1 -2 1 4 0 -1 1 0 0 1 2 -1 1 1 1 2 -1 -2 0] [-2 -2 0 2 -1 1 0 6 3 1 1 1 0 -3 1 0 -1 2 1 -2 2 2] [-1 -1 1 -2 1 1 -1 3 6 0 1 0 1 -4 1 0 0 0 0 0 1 1] [-2 -2 -2 1 1 2 1 1 0 4 2 1 0 -1 -1 0 1 0 1 0 0 0] [-1 -2 -3 0 0 1 0 1 1 2 4 2 -1 -1 0 1 1 -1 -1 1 0 -1] [-1 -2 -3 0 0 2 0 1 0 1 2 4 -1 -1 0 1 1 -1 -1 1 0 -1] [-1 -1 1 0 0 0 1 0 1 0 -1 -1 4 -1 0 0 -1 0 2 0 -1 0] [ 1 2 -1 1 -2 -1 2 -3 -4 -1 -1 -1 -1 6 -1 0 1 1 1 -1 -2 -1] [-1 0 0 1 -2 -1 -1 1 1 -1 0 0 0 -1 4 1 -1 -1 0 0 1 0] [ 0 -1 -2 1 -2 0 1 0 0 0 1 1 0 0 1 4 0 0 0 0 0 -1] [-1 0 -2 -2 1 1 1 -1 0 1 1 1 -1 1 -1 0 4 -1 -1 1 -1 0] [ 0 0 1 2 -1 0 1 2 0 0 -1 -1 0 1 -1 0 -1 4 2 -2 1 1] [-2 0 0 3 -3 1 2 1 0 1 -1 -1 2 1 0 0 -1 2 6 -2 -1 1] [ 0 0 -1 -2 1 0 -1 -2 0 0 1 1 0 -1 0 0 1 -2 -2 4 0 -1] [ 0 -1 1 1 1 0 -2 2 1 0 0 0 -1 -2 1 0 -1 1 -1 0 4 0] [ 0 1 2 0 0 0 0 2 1 0 -1 -1 0 -1 0 -1 0 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 641. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -2 -1 -1 1 1 2 -2 1 1 1 2 -1 1 -2 2 1 -2 1 -1] [-1 4 -2 -1 2 -1 -2 1 -2 -1 0 1 -1 -1 1 -2 0 1 0 -1 -1 1] [ 1 -2 4 0 -2 1 0 -1 0 0 1 -1 2 1 -1 2 0 1 0 -1 2 0] [-2 -1 0 4 -1 2 0 -2 -1 1 -1 -1 -1 -1 1 1 1 -2 -1 2 0 1] [-1 2 -2 -1 4 -2 0 0 0 1 0 1 0 -1 1 -2 1 -1 0 1 -2 0] [-1 -1 1 2 -2 4 0 0 0 1 0 -2 0 -1 1 1 1 -1 0 1 1 0] [ 1 -2 0 0 0 0 4 1 3 1 -1 -1 0 0 0 1 0 0 0 0 0 0] [ 1 1 -1 -2 0 0 1 4 1 0 0 0 -1 0 0 -1 -1 2 0 -2 0 0] [ 2 -2 0 -1 0 0 3 1 6 1 -1 -1 1 0 1 1 1 -1 2 1 0 0] [-2 -1 0 1 1 1 1 0 1 6 1 -1 1 -1 0 -1 2 -1 1 1 -2 0] [ 1 0 1 -1 0 0 -1 0 -1 1 4 0 2 1 -1 -1 -1 1 1 -1 0 -1] [ 1 1 -1 -1 1 -2 -1 0 -1 -1 0 4 -1 1 -1 -1 -1 0 -1 0 -1 -1] [ 1 -1 2 -1 0 0 0 -1 1 1 2 -1 4 0 -1 0 1 0 1 0 0 0] [ 2 -1 1 -1 -1 -1 0 0 0 -1 1 1 0 4 -1 0 -1 2 0 -2 0 -2] [-1 1 -1 1 1 1 0 0 1 0 -1 -1 -1 -1 4 0 1 -2 0 1 0 1] [ 1 -2 2 1 -2 1 1 -1 1 -1 -1 -1 0 0 0 4 0 0 0 0 2 1] [-2 0 0 1 1 1 0 -1 1 2 -1 -1 1 -1 1 0 4 -2 0 2 -1 1] [ 2 1 1 -2 -1 -1 0 2 -1 -1 1 0 0 2 -2 0 -2 6 1 -4 1 0] [ 1 0 0 -1 0 0 0 0 2 1 1 -1 1 0 0 0 0 1 4 -1 0 0] [-2 -1 -1 2 1 1 0 -2 1 1 -1 0 0 -2 1 0 2 -4 -1 6 0 0] [ 1 -1 2 0 -2 1 0 0 0 -2 0 -1 0 0 0 2 -1 1 0 0 4 0] [-1 1 0 1 0 0 0 0 0 0 -1 -1 0 -2 1 1 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 642. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 1 -2 -2 -1 0 0 1 1 -1 0 -1 1 0 -2 -2 2] [-2 4 1 -1 2 1 0 2 1 -1 1 1 0 -1 0 -1 0 -1 0 2 0 0] [ 0 1 4 1 1 2 2 1 -1 1 0 1 1 1 -1 -1 -1 1 1 1 -2 -1] [ 1 -1 1 4 -1 1 2 -1 -2 2 -1 1 1 2 -1 -1 1 2 1 -1 0 1] [-2 2 1 -1 4 2 -1 2 1 1 0 0 -1 -1 1 -1 0 -1 1 2 0 0] [-1 1 2 1 2 4 1 1 -1 2 0 0 1 1 -1 -2 0 1 2 1 0 0] [ 1 0 2 2 -1 1 4 -1 -2 0 -1 1 1 2 -2 0 0 2 0 0 -2 0] [-2 2 1 -1 2 1 -1 4 1 1 0 0 0 -2 1 0 0 -1 0 2 0 0] [-2 1 -1 -2 1 -1 -2 1 4 -1 0 -1 -1 -2 1 0 0 -1 -1 0 2 -2] [-1 -1 1 2 1 2 0 1 -1 6 0 -1 1 1 0 0 2 1 2 0 2 -1] [ 0 1 0 -1 0 0 -1 0 0 0 4 0 1 0 -1 0 1 0 1 0 0 1] [ 0 1 1 1 0 0 1 0 -1 -1 0 4 1 0 -1 -1 1 -1 1 1 -1 1] [ 1 0 1 1 -1 1 1 0 -1 1 1 1 4 0 -1 -1 1 0 2 0 0 1] [ 1 -1 1 2 -1 1 2 -2 -2 1 0 0 0 4 -2 0 0 2 0 -1 0 0] [-1 0 -1 -1 1 -1 -2 1 1 0 -1 -1 -1 -2 4 0 -1 -2 0 1 0 0] [ 0 -1 -1 -1 -1 -2 0 0 0 0 0 -1 -1 0 0 4 1 0 -2 0 0 0] [-1 0 -1 1 0 0 0 0 0 2 1 1 1 0 -1 1 4 0 1 0 2 1] [ 1 -1 1 2 -1 1 2 -1 -1 1 0 -1 0 2 -2 0 0 4 0 -1 0 0] [ 0 0 1 1 1 2 0 0 -1 2 1 1 2 0 0 -2 1 0 4 0 0 1] [-2 2 1 -1 2 1 0 2 0 0 0 1 0 -1 1 0 0 -1 0 4 0 0] [-2 0 -2 0 0 0 -2 0 2 2 0 -1 0 0 0 0 2 0 0 0 6 -2] [ 2 0 -1 1 0 0 0 0 -2 -1 1 1 1 0 0 0 1 0 1 0 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 643. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 1 2 2 0 -1 1 2 1 2 0 2 1 -2 -1 -1 2 1 1 2] [ 0 4 -1 -1 2 1 0 -1 0 1 0 -1 1 -2 1 -2 -1 2 -1 2 0 -1] [ 0 -1 4 2 0 0 -1 -1 1 0 -1 0 0 -1 0 0 0 -1 -1 0 1 1] [ 1 -1 2 4 -1 0 -1 0 0 0 -1 1 1 -1 0 1 -1 -1 0 0 1 2] [ 2 2 0 -1 6 2 -1 -1 2 2 2 1 1 1 0 -4 1 0 1 2 -1 0] [ 2 1 0 0 2 4 -1 0 1 2 0 1 0 1 1 -2 -1 -1 2 2 1 0] [ 0 0 -1 -1 -1 -1 4 -1 -2 1 -1 0 -1 -1 -1 -1 1 0 1 0 0 0] [-1 -1 -1 0 -1 0 -1 4 1 -2 0 1 -1 0 -1 2 1 0 1 -1 0 -1] [ 1 0 1 0 2 1 -2 1 4 0 1 1 -1 1 1 0 0 0 1 0 1 0] [ 2 1 0 0 2 2 1 -2 0 4 0 1 0 0 0 -2 -1 -1 1 2 1 0] [ 1 0 -1 -1 2 0 -1 0 1 0 4 0 1 2 0 -1 1 1 1 -1 -1 0] [ 2 -1 0 1 1 1 0 1 1 1 0 4 -1 1 -1 0 0 -2 1 0 1 1] [ 0 1 0 1 1 0 -1 -1 -1 0 1 -1 4 -1 1 -1 0 0 0 1 -1 1] [ 2 -2 -1 -1 1 1 -1 0 1 0 2 1 -1 6 0 0 0 -1 1 -1 0 1] [ 1 1 0 0 0 1 -1 -1 1 0 0 -1 1 0 4 -1 -2 0 1 1 0 1] [-2 -2 0 1 -4 -2 -1 2 0 -2 -1 0 -1 0 -1 6 0 0 -2 -2 1 0] [-1 -1 0 -1 1 -1 1 1 0 -1 1 0 0 0 -2 0 4 0 1 -1 -1 0] [-1 2 -1 -1 0 -1 0 0 0 -1 1 -2 0 -1 0 0 0 4 -1 0 0 -1] [ 2 -1 -1 0 1 2 1 1 1 1 1 1 0 1 1 -2 1 -1 6 0 0 1] [ 1 2 0 0 2 2 0 -1 0 2 -1 0 1 -1 1 -2 -1 0 0 4 1 0] [ 1 0 1 1 -1 1 0 0 1 1 -1 1 -1 0 0 1 -1 0 0 1 4 0] [ 2 -1 1 2 0 0 0 -1 0 0 0 1 1 1 1 0 0 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 644. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 -2 1 -1 0 0 2 1 2 1 0 2 2 0 1 1 -2] [-2 4 1 -1 2 1 1 0 -1 1 0 -1 -1 -1 -1 0 -1 0 0 -1 1 2] [ 0 1 4 1 1 2 0 2 1 0 -1 0 -1 0 -2 1 0 0 -1 1 2 -1] [ 1 -1 1 4 -1 1 -2 2 2 -1 -1 0 -1 2 0 1 0 -1 -1 0 1 -2] [-2 2 1 -1 4 2 2 1 -1 0 -1 -2 -1 -2 -2 -1 -2 -1 1 0 1 1] [-1 1 2 1 2 4 1 2 1 0 -2 -1 -2 -1 -1 1 -1 -2 -1 0 2 -1] [-2 1 0 -2 2 1 4 0 0 0 0 -2 0 -2 0 0 -2 -1 0 0 -1 2] [ 1 0 2 2 1 2 0 4 0 -1 -2 -1 -1 0 -1 0 0 -1 0 1 2 -2] [-1 -1 1 2 -1 1 0 0 6 0 0 0 -2 0 0 2 -1 -1 -2 1 -2 0] [ 0 1 0 -1 0 0 0 -1 0 4 -1 1 0 0 1 1 1 2 -1 1 0 2] [ 0 0 -1 -1 -1 -2 0 -2 0 -1 4 0 0 1 1 -1 0 1 1 0 -2 0] [ 2 -1 0 0 -2 -1 -2 -1 0 1 0 4 0 1 1 1 2 1 -1 0 1 0] [ 1 -1 -1 -1 -1 -2 0 -1 -2 0 0 0 4 0 0 -1 0 2 1 0 -1 0] [ 2 -1 0 2 -2 -1 -2 0 0 0 1 1 0 4 1 0 1 1 -1 0 1 -1] [ 1 -1 -2 0 -2 -1 0 -1 0 1 1 1 0 1 4 1 1 0 0 0 -1 0] [ 0 0 1 1 -1 1 0 0 2 1 -1 1 -1 0 1 4 0 0 -2 0 1 1] [ 2 -1 0 0 -2 -1 -2 0 -1 1 0 2 0 1 1 0 4 1 0 1 1 -1] [ 2 0 0 -1 -1 -2 -1 -1 -1 2 1 1 2 1 0 0 1 6 1 2 -1 0] [ 0 0 -1 -1 1 -1 0 0 -2 -1 1 -1 1 -1 0 -2 0 1 4 0 -1 -1] [ 1 -1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 0 4 0 -1] [ 1 1 2 1 1 2 -1 2 -2 0 -2 1 -1 1 -1 1 1 -1 -1 0 6 -1] [-2 2 -1 -2 1 -1 2 -2 0 2 0 0 0 -1 0 1 -1 0 -1 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 645. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 2 2 0 1 2 2 -2 1 2 1 0 0 -2 2 -2 2 1] [-2 4 -2 0 -1 0 0 0 1 0 -2 2 -1 0 1 1 -1 2 -1 1 0 0] [ 2 -2 4 -1 2 0 1 1 -1 2 2 -2 1 0 0 -1 1 -2 2 -1 1 1] [-1 0 -1 4 1 -2 -2 -2 -1 -2 1 -1 1 -1 -1 1 -1 1 -1 -1 -2 1] [ 1 -1 2 1 4 0 -1 -1 -2 1 1 -1 2 0 0 1 -1 -1 1 -2 -1 2] [ 2 0 0 -2 0 4 2 1 2 1 0 1 0 2 1 1 0 -1 1 -1 2 0] [ 2 0 1 -2 -1 2 4 2 2 2 0 -1 0 2 1 -1 0 -1 2 -1 2 0] [ 0 0 1 -2 -1 1 2 4 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0] [ 1 1 -1 -1 -2 2 2 0 6 2 0 0 -1 2 0 1 -1 1 1 -1 3 -1] [ 2 0 2 -2 1 1 2 0 2 6 1 -2 1 2 2 -1 0 -1 2 0 1 0] [ 2 -2 2 1 1 0 0 0 0 1 6 -2 1 1 1 -1 2 -2 1 -2 -1 2] [-2 2 -2 -1 -1 1 -1 0 0 -2 -2 6 -1 0 1 1 0 2 -1 2 -1 -1] [ 1 -1 1 1 2 0 0 0 -1 1 1 -1 4 1 0 0 0 0 1 -2 -1 1] [ 2 0 0 -1 0 2 2 0 2 2 1 0 1 4 2 0 0 -1 2 -1 1 1] [ 1 1 0 -1 0 1 1 0 0 2 1 1 0 2 4 -1 0 -1 1 1 -1 1] [ 0 1 -1 1 1 1 -1 -1 1 -1 -1 1 0 0 -1 4 -1 1 -1 -1 1 1] [ 0 -1 1 -1 -1 0 0 1 -1 0 2 0 0 0 0 -1 4 -1 0 1 0 0] [-2 2 -2 1 -1 -1 -1 -1 1 -1 -2 2 0 -1 -1 1 -1 4 -1 1 0 -1] [ 2 -1 2 -1 1 1 2 0 1 2 1 -1 1 2 1 -1 0 -1 4 -2 1 1] [-2 1 -1 -1 -2 -1 -1 0 -1 0 -2 2 -2 -1 1 -1 1 1 -2 6 0 -2] [ 2 0 1 -2 -1 2 2 1 3 1 -1 -1 -1 1 -1 1 0 0 1 0 6 -1] [ 1 0 1 1 2 0 0 0 -1 0 2 -1 1 1 1 1 0 -1 1 -2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 646. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 2 1 -2 1 0 -1 -2 -2 0 -1 -2 -1 1 2 0 0 1 1] [ 1 4 1 0 0 0 0 0 1 -2 0 -1 1 -2 0 1 -1 0 -1 1 2 0] [-1 1 4 -1 -2 -1 1 -2 -1 1 2 0 -1 -1 1 0 0 -2 -1 0 -1 1] [ 2 0 -1 4 1 0 -2 1 -1 1 -2 0 0 1 -1 0 2 2 1 0 -1 1] [ 2 0 -2 1 6 2 -1 2 -1 -3 -1 -2 -1 -2 -2 1 0 1 2 2 -1 0] [ 1 0 -1 0 2 4 -1 2 -1 0 -1 -1 0 -2 -1 0 0 1 -1 0 -1 0] [-2 0 1 -2 -1 -1 4 -2 0 -1 2 0 0 -1 2 1 -2 -2 0 0 0 -1] [ 1 0 -2 1 2 2 -2 4 0 -1 -1 0 0 -1 -1 1 1 1 0 0 0 -1] [ 0 1 -1 -1 -1 -1 0 0 4 -2 0 0 2 1 1 0 -1 0 -1 -1 2 0] [-1 -2 1 1 -3 0 -1 -1 -2 6 -1 2 0 2 0 -1 2 0 0 -1 -2 1] [-2 0 2 -2 -1 -1 2 -1 0 -1 4 1 -1 -1 1 1 -1 -2 -1 0 0 0] [-2 -1 0 0 -2 -1 0 0 0 2 1 4 1 2 1 0 0 0 0 -1 -1 -1] [ 0 1 -1 0 -1 0 0 0 2 0 -1 1 4 0 1 0 0 0 0 0 1 0] [-1 -2 -1 1 -2 -2 -1 -1 1 2 -1 2 0 6 1 -2 1 1 1 -1 -1 0] [-2 0 1 -1 -2 -1 2 -1 1 0 1 1 1 1 4 0 0 -2 0 -1 -1 0] [-1 1 0 0 1 0 1 1 0 -1 1 0 0 -2 0 4 0 -1 0 1 0 0] [ 1 -1 0 2 0 0 -2 1 -1 2 -1 0 0 1 0 0 4 0 1 0 -1 2] [ 2 0 -2 2 1 1 -2 1 0 0 -2 0 0 1 -2 -1 0 4 0 0 1 0] [ 0 -1 -1 1 2 -1 0 0 -1 0 -1 0 0 1 0 0 1 0 4 1 -1 0] [ 0 1 0 0 2 0 0 0 -1 -1 0 -1 0 -1 -1 1 0 0 1 4 1 0] [ 1 2 -1 -1 -1 -1 0 0 2 -2 0 -1 1 -1 -1 0 -1 1 -1 1 6 -1] [ 1 0 1 1 0 0 -1 -1 0 1 0 -1 0 0 0 0 2 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 647. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 -2 -2 -1 -2 -1 -1 0 0 0 1 0 2 1 0 -1 -1 0] [ 2 4 -2 -1 -1 0 -2 -2 -2 0 -1 -1 1 1 2 -1 1 1 -1 1 1 0] [-2 -2 4 1 2 1 2 1 2 0 1 0 -1 -1 0 0 -2 -1 0 0 0 1] [ 0 -1 1 4 2 1 -1 2 1 1 2 0 -2 1 0 -1 0 1 -1 -1 -2 2] [-1 -1 2 2 4 2 1 2 1 0 2 0 -2 1 0 0 -1 1 0 0 0 2] [-2 0 1 1 2 4 1 0 1 1 2 0 0 2 0 0 -1 1 -1 1 0 1] [-2 -2 2 -1 1 1 6 2 2 1 1 2 -1 1 -1 2 -1 -1 2 1 -1 0] [-1 -2 1 2 2 0 2 6 1 1 2 2 -1 2 0 0 1 1 2 -1 -2 2] [-2 -2 2 1 1 1 2 1 4 0 1 1 -2 -1 -1 0 -2 -1 -1 1 0 1] [-1 0 0 1 0 1 1 1 0 4 2 0 1 1 1 -1 0 1 0 1 -2 0] [-1 -1 1 2 2 2 1 2 1 2 4 0 0 2 0 0 -1 2 0 0 -2 2] [ 0 -1 0 0 0 0 2 2 1 0 0 4 -1 1 -1 0 1 0 1 -1 -2 0] [ 0 1 -1 -2 -2 0 -1 -1 -2 1 0 -1 6 1 2 -1 0 0 0 0 1 -1] [ 0 1 -1 1 1 2 1 2 -1 1 2 1 1 6 1 0 1 1 1 0 -1 2] [ 1 2 0 0 0 0 -1 0 -1 1 0 -1 2 1 4 -2 0 0 0 1 0 1] [ 0 -1 0 -1 0 0 2 0 0 -1 0 0 -1 0 -2 4 1 0 1 0 0 0] [ 2 1 -2 0 -1 -1 -1 1 -2 0 -1 1 0 1 0 1 4 1 1 -1 -1 0] [ 1 1 -1 1 1 1 -1 1 -1 1 2 0 0 1 0 0 1 4 0 0 -1 1] [ 0 -1 0 -1 0 -1 2 2 -1 0 0 1 0 1 0 1 1 0 4 -1 -1 0] [-1 1 0 -1 0 1 1 -1 1 1 0 -1 0 0 1 0 -1 0 -1 4 2 0] [-1 1 0 -2 0 0 -1 -2 0 -2 -2 -2 1 -1 0 0 -1 -1 -1 2 6 -1] [ 0 0 1 2 2 1 0 2 1 0 2 0 -1 2 1 0 0 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 648. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 -1 -1 2 -1 1 0 -2 0 0 2 1 0 0 0 -1 1 0 0 2] [-2 4 1 2 1 -2 2 -1 1 2 0 1 -1 0 1 1 -1 2 -1 0 0 -1] [-1 1 4 -1 2 -1 2 0 0 -1 1 2 -1 0 1 -1 -1 -1 1 0 -1 0] [-1 2 -1 4 -1 0 0 0 0 2 0 0 0 1 1 2 1 2 -1 1 0 0] [-1 1 2 -1 4 -2 1 -1 -1 0 -1 1 -1 0 -1 -1 -1 -1 -1 0 1 0] [ 2 -2 -1 0 -2 4 -2 1 0 -2 0 -1 1 0 0 1 1 -1 1 1 -1 1] [-1 2 2 0 1 -2 4 -1 0 0 1 1 0 1 1 0 -2 1 1 0 0 -1] [ 1 -1 0 0 -1 1 -1 4 0 -2 1 1 0 0 1 1 0 0 1 1 0 0] [ 0 1 0 0 -1 0 0 0 4 1 0 0 1 0 1 1 1 0 -1 0 -1 0] [-2 2 -1 2 0 -2 0 -2 1 6 -1 0 0 -1 -1 0 2 2 -2 0 0 -1] [ 0 0 1 0 -1 0 1 1 0 -1 4 0 -1 1 0 0 0 1 2 1 -1 -1] [ 0 1 2 0 1 -1 1 1 0 0 0 4 -1 -1 1 0 -1 0 0 -1 -1 0] [ 2 -1 -1 0 -1 1 0 0 1 0 -1 -1 4 1 1 0 1 0 0 1 1 2] [ 1 0 0 1 0 0 1 0 0 -1 1 -1 1 4 0 1 0 0 0 1 1 1] [ 0 1 1 1 -1 0 1 1 1 -1 0 1 1 0 4 0 -1 0 1 0 -1 1] [ 0 1 -1 2 -1 1 0 1 1 0 0 0 0 1 0 4 1 1 -1 1 0 0] [ 0 -1 -1 1 -1 1 -2 0 1 2 0 -1 1 0 -1 1 4 0 -1 1 0 1] [-1 2 -1 2 -1 -1 1 0 0 2 1 0 0 0 0 1 0 4 0 1 1 -1] [ 1 -1 1 -1 -1 1 1 1 -1 -2 2 0 0 0 1 -1 -1 0 4 0 -1 0] [ 0 0 0 1 0 1 0 1 0 0 1 -1 1 1 0 1 1 1 0 4 1 0] [ 0 0 -1 0 1 -1 0 0 -1 0 -1 -1 1 1 -1 0 0 1 -1 1 4 0] [ 2 -1 0 0 0 1 -1 0 0 -1 -1 0 2 1 1 0 1 -1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 649. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -2 -1 2 -1 2 0 -1 1 1 2 2 -1 2 0 0 -1 0] [-2 4 -1 1 -2 1 -1 -2 2 -2 1 0 -1 0 -2 -2 0 0 -1 1 1 -1] [ 0 -1 4 0 1 1 2 1 1 -1 0 0 1 0 0 -1 1 1 0 0 -1 1] [ 0 1 0 4 -1 0 0 -1 1 -2 2 1 0 1 0 0 1 2 -2 2 0 -1] [ 1 -2 1 -1 4 -1 1 2 0 0 0 -1 2 1 2 1 1 -1 0 -1 -1 2] [-2 1 1 0 -1 4 2 -2 0 -2 0 0 -1 0 -2 -2 0 0 0 0 0 -1] [-1 -1 2 0 1 2 4 -1 0 -1 0 0 1 0 -1 -1 0 0 0 0 0 1] [ 2 -2 1 -1 2 -2 -1 4 0 2 -1 -1 1 0 2 1 0 0 1 -1 -1 1] [-1 2 1 1 0 0 0 0 4 -2 1 -1 0 1 0 -1 1 1 0 0 0 1] [ 2 -2 -1 -2 0 -2 -1 2 -2 6 -1 -1 1 0 1 2 -2 -1 1 -1 -1 1] [ 0 1 0 2 0 0 0 -1 1 -1 4 1 1 2 1 0 0 2 -1 0 0 0] [-1 0 0 1 -1 0 0 -1 -1 -1 1 4 -1 0 0 -1 0 0 0 1 0 -1] [ 1 -1 1 0 2 -1 1 1 0 1 1 -1 4 0 1 1 0 1 -1 0 0 2] [ 1 0 0 1 1 0 0 0 1 0 2 0 0 4 1 0 0 1 0 0 -1 0] [ 2 -2 0 0 2 -2 -1 2 0 1 1 0 1 1 4 2 0 1 0 -1 -1 1] [ 2 -2 -1 0 1 -2 -1 1 -1 2 0 -1 1 0 2 4 0 0 0 0 0 1] [-1 0 1 1 1 0 0 0 1 -2 0 0 0 0 0 0 4 -1 0 0 -1 0] [ 2 0 1 2 -1 0 0 0 1 -1 2 0 1 1 1 0 -1 6 -1 0 0 0] [ 0 -1 0 -2 0 0 0 1 0 1 -1 0 -1 0 0 0 0 -1 4 -2 0 0] [ 0 1 0 2 -1 0 0 -1 0 -1 0 1 0 0 -1 0 0 0 -2 4 1 -1] [-1 1 -1 0 -1 0 0 -1 0 -1 0 0 0 -1 -1 0 -1 0 0 1 4 -1] [ 0 -1 1 -1 2 -1 1 1 1 1 0 -1 2 0 1 1 0 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 650. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 2 -1 -1 1 -1 0 -2 1 -1 -2 -1 0 -1 2 -1 0 0 1] [-2 4 -2 -2 -1 0 2 -1 0 1 2 -1 1 1 0 -1 0 -1 -1 1 1 0] [ 2 -2 4 2 2 1 -2 2 0 -1 -2 2 0 0 0 1 -1 0 1 0 -1 1] [ 1 -2 2 4 1 0 -2 0 0 0 -1 1 -1 0 -1 2 1 0 1 0 0 0] [ 2 -1 2 1 4 1 -2 2 -1 -1 -1 2 -1 0 0 0 -2 0 -1 0 -1 1] [-1 0 1 0 1 4 -2 2 1 -1 0 0 0 0 0 -1 -1 -1 1 -1 -1 1] [-1 2 -2 -2 -2 -2 6 0 -1 1 2 -1 2 2 -1 0 1 0 -1 1 1 -2] [ 1 -1 2 0 2 2 0 6 1 -2 -1 2 0 2 0 -1 0 1 1 1 -2 1] [-1 0 0 0 -1 1 -1 1 4 0 0 1 -1 1 1 -1 1 1 2 0 0 1] [ 0 1 -1 0 -1 -1 1 -2 0 4 0 -1 -1 0 -2 0 1 1 0 1 1 -1] [-2 2 -2 -1 -1 0 2 -1 0 0 4 -1 0 0 0 0 0 -1 -1 -1 0 -1] [ 1 -1 2 1 2 0 -1 2 1 -1 -1 4 0 2 1 1 -1 0 1 1 -1 0] [-1 1 0 -1 -1 0 2 0 -1 -1 0 0 4 1 1 0 0 -1 0 1 1 0] [-2 1 0 0 0 0 2 2 1 0 0 2 1 6 0 1 1 -1 1 2 0 -1] [-1 0 0 -1 0 0 -1 0 1 -2 0 1 1 0 4 -1 -1 -1 1 0 -1 1] [ 0 -1 1 2 0 -1 0 -1 -1 0 0 1 0 1 -1 4 1 -1 0 0 0 -1] [-1 0 -1 1 -2 -1 1 0 1 1 0 -1 0 1 -1 1 4 1 1 1 1 0] [ 2 -1 0 0 0 -1 0 1 1 1 -1 0 -1 -1 -1 -1 1 4 0 1 1 1] [-1 -1 1 1 -1 1 -1 1 2 0 -1 1 0 1 1 0 1 0 4 0 -1 0] [ 0 1 0 0 0 -1 1 1 0 1 -1 1 1 2 0 0 1 1 0 4 1 0] [ 0 1 -1 0 -1 -1 1 -2 0 1 0 -1 1 0 -1 0 1 1 -1 1 4 0] [ 1 0 1 0 1 1 -2 1 1 -1 -1 0 0 -1 1 -1 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 651. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 1 1 -2 2 0 1 2 0 0 -1 1 -1 -1 0 -1 0 -1 -1] [-1 4 -1 0 0 1 1 -1 0 -1 -2 1 1 1 -2 1 -1 -1 1 1 1 1] [ 0 -1 4 0 0 -2 1 1 -1 2 -1 -1 -1 -1 -1 1 -1 2 -1 -2 0 -1] [ 2 0 0 4 2 1 0 0 0 -1 2 1 -1 1 0 -1 -2 0 -1 0 0 -1] [ 1 0 0 2 4 -1 0 0 0 1 1 -1 1 2 0 -2 -1 0 -2 0 0 1] [ 1 1 -2 1 -1 4 -1 -1 1 -2 1 1 -1 0 0 0 0 -1 1 1 0 -1] [-2 1 1 0 0 -1 4 -2 0 0 -1 0 0 1 -1 0 0 0 0 0 0 1] [ 2 -1 1 0 0 -1 -2 4 0 1 0 0 0 -2 0 1 -1 0 -1 0 -1 0] [ 0 0 -1 0 0 1 0 0 4 -2 -1 -1 0 0 1 0 1 -2 0 2 1 0] [ 1 -1 2 -1 1 -2 0 1 -2 6 -1 -1 1 0 0 -1 1 2 -1 -2 -2 1] [ 2 -2 -1 2 1 1 -1 0 -1 -1 6 0 0 0 1 -2 0 1 0 -1 -1 -1] [ 0 1 -1 1 -1 1 0 0 -1 -1 0 4 -1 0 -1 1 -1 -1 0 0 0 0] [ 0 1 -1 -1 1 -1 0 0 0 1 0 -1 4 0 1 -1 1 -1 1 1 0 2] [-1 1 -1 1 2 0 1 -2 0 0 0 0 0 4 -1 -1 0 0 -1 0 1 1] [ 1 -2 -1 0 0 0 -1 0 1 0 1 -1 1 -1 4 -2 1 -1 1 1 -1 0] [-1 1 1 -1 -2 0 0 1 0 -1 -2 1 -1 -1 -2 4 0 0 0 0 1 0] [-1 -1 -1 -2 -1 0 0 -1 1 1 0 -1 1 0 1 0 4 0 1 0 0 1] [ 0 -1 2 0 0 -1 0 0 -2 2 1 -1 -1 0 -1 0 0 4 0 -2 0 -1] [-1 1 -1 -1 -2 1 0 -1 0 -1 0 0 1 -1 1 0 1 0 4 0 0 0] [ 0 1 -2 0 0 1 0 0 2 -2 -1 0 1 0 1 0 0 -2 0 4 1 1] [-1 1 0 0 0 0 0 -1 1 -2 -1 0 0 1 -1 1 0 0 0 1 4 -1] [-1 1 -1 -1 1 -1 1 0 0 1 -1 0 2 1 0 0 1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 652. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 1 1 0 2 0 0 1 1 1 2 -1 2 1 -1 0 1 2 1] [ 1 4 2 -2 -1 1 1 1 1 0 0 0 1 2 -1 1 2 -2 1 0 1 1] [ 1 2 4 -2 0 2 0 1 0 1 0 0 1 0 -1 1 1 -2 0 0 2 1] [-1 -2 -2 4 -1 -2 0 -1 1 0 1 1 0 0 1 -2 0 1 -1 1 -2 0] [ 1 -1 0 -1 4 0 -1 1 -2 1 -1 0 0 0 1 1 -1 0 1 -1 0 1] [ 1 1 2 -2 0 4 1 1 0 0 -1 -1 0 -1 0 2 1 -2 -1 -1 2 0] [ 0 1 0 0 -1 1 4 1 2 -1 -1 -1 1 1 0 0 2 0 0 -1 -1 1] [ 2 1 1 -1 1 1 1 4 1 1 -1 -1 2 0 0 1 0 -1 1 -1 2 2] [ 0 1 0 1 -2 0 2 1 4 0 0 -1 2 1 -1 0 1 0 -1 0 -1 1] [ 0 0 1 0 1 0 -1 1 0 4 -1 -1 1 0 0 0 0 0 1 -1 1 1] [ 1 0 0 1 -1 -1 -1 -1 0 -1 4 1 0 0 0 0 0 0 -1 2 0 0] [ 1 0 0 1 0 -1 -1 -1 -1 -1 1 4 0 1 -1 -1 1 0 0 1 -1 -1] [ 1 1 1 0 0 0 1 2 2 1 0 0 4 0 0 0 1 -1 1 0 0 2] [ 2 2 0 0 0 -1 1 0 1 0 0 1 0 6 -2 1 2 0 0 1 0 1] [-1 -1 -1 1 1 0 0 0 -1 0 0 -1 0 -2 4 -1 -1 -1 1 0 -1 1] [ 2 1 1 -2 1 2 0 1 0 0 0 -1 0 1 -1 4 1 -1 -1 0 2 1] [ 1 2 1 0 -1 1 2 0 1 0 0 1 1 2 -1 1 4 -1 0 0 0 1] [-1 -2 -2 1 0 -2 0 -1 0 0 0 0 -1 0 -1 -1 -1 4 0 0 -1 -1] [ 0 1 0 -1 1 -1 0 1 -1 1 -1 0 1 0 1 -1 0 0 4 -1 0 1] [ 1 0 0 1 -1 -1 -1 -1 0 -1 2 1 0 1 0 0 0 0 -1 4 1 0] [ 2 1 2 -2 0 2 -1 2 -1 1 0 -1 0 0 -1 2 0 -1 0 1 6 0] [ 1 1 1 0 1 0 1 2 1 1 0 -1 2 1 1 1 1 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 653. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 0 0 0 1 0 -1 -1 1 0 0 1 -1 2 0 2 -1 -1] [-1 6 -3 1 2 -1 2 -1 -1 1 2 -2 1 -1 2 2 -1 -2 1 1 2 2] [ 2 -3 6 -2 -1 2 -1 2 -1 -2 -1 1 1 2 -1 -1 -1 1 1 1 -1 -1] [ 0 1 -2 4 0 -2 1 0 1 0 -1 0 0 0 1 1 -1 0 -1 0 -1 -1] [ 0 2 -1 0 4 -1 2 -2 1 2 1 0 1 -2 -1 1 1 0 1 0 1 1] [ 0 -1 2 -2 -1 4 -2 1 0 -2 1 0 -1 1 0 0 0 0 1 0 0 0] [ 0 2 -1 1 2 -2 4 -2 0 1 1 0 2 -2 0 0 0 0 1 0 0 0] [ 0 -1 2 0 -2 1 -2 4 -1 -2 -1 1 -1 2 0 -1 -2 -1 0 1 0 -1] [ 1 -1 -1 1 1 0 0 -1 4 0 0 0 0 -1 -1 1 0 1 0 0 0 0] [ 0 1 -2 0 2 -2 1 -2 0 4 0 0 0 -2 -1 1 1 0 -1 0 1 0] [-1 2 -1 -1 1 1 1 -1 0 0 4 -1 1 -1 0 0 1 0 2 -1 1 1] [-1 -2 1 0 0 0 0 1 0 0 -1 4 -1 0 -2 -1 0 -1 -1 -1 0 -1] [ 1 1 1 0 1 -1 2 -1 0 0 1 -1 4 -1 1 0 0 0 2 1 0 1] [ 0 -1 2 0 -2 1 -2 2 -1 -2 -1 0 -1 4 0 0 -1 0 -1 0 0 0] [ 0 2 -1 1 -1 0 0 0 -1 -1 0 -2 1 0 4 0 -1 -1 1 1 -1 1] [ 1 2 -1 1 1 0 0 -1 1 1 0 -1 0 0 0 4 0 0 -1 1 1 1] [-1 -1 -1 -1 1 0 0 -2 0 1 1 0 0 -1 -1 0 4 1 0 -2 0 1] [ 2 -2 1 0 0 0 0 -1 1 0 0 -1 0 0 -1 0 1 4 0 0 -1 -1] [ 0 1 1 -1 1 1 1 0 0 -1 2 -1 2 -1 1 -1 0 0 4 0 0 1] [ 2 1 1 0 0 0 0 1 0 0 -1 -1 1 0 1 1 -2 0 0 4 1 0] [-1 2 -1 -1 1 0 0 0 0 1 1 0 0 0 -1 1 0 -1 0 1 4 1] [-1 2 -1 -1 1 0 0 -1 0 0 1 -1 1 0 1 1 1 -1 1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 654. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 0 0 2 -1 2 -1 1 2 -1 -1 0 -1 -2 -1 2 2 1] [ 2 4 -2 1 -1 0 0 2 0 0 1 0 1 -1 0 -1 -1 -1 0 0 0 1] [-1 -2 6 -3 2 -1 2 -1 -2 1 0 -2 -3 -2 -2 2 -1 -1 2 1 2 -2] [ 2 1 -3 6 -1 2 -1 2 1 1 0 1 3 1 1 -1 2 -1 -1 1 -1 1] [ 0 -1 2 -1 4 -1 2 0 -1 0 1 0 0 0 0 2 1 1 1 0 2 -1] [ 0 0 -1 2 -1 4 -2 0 1 0 -1 0 2 0 0 0 0 0 0 0 -2 1] [ 0 0 2 -1 2 -2 4 0 -2 0 2 0 -1 0 0 0 0 0 0 0 1 -2] [ 2 2 -1 2 0 0 0 4 0 1 0 1 2 0 0 0 0 -1 0 1 0 0] [-1 0 -2 1 -1 1 -2 0 4 0 0 1 0 1 2 -1 1 1 -1 0 -1 0] [ 2 0 1 1 0 0 0 1 0 4 -1 0 1 -1 0 0 -1 -1 -1 2 1 0] [-1 1 0 0 1 -1 2 0 0 -1 4 0 0 1 1 -1 1 1 1 -1 -1 -1] [ 1 0 -2 1 0 0 0 1 1 0 0 4 1 1 1 -1 1 0 -2 0 0 0] [ 2 1 -3 3 0 2 -1 2 0 1 0 1 6 1 0 -1 0 1 -1 1 -2 2] [-1 -1 -2 1 0 0 0 0 1 -1 1 1 1 4 1 0 2 2 -1 -1 -1 -1] [-1 0 -2 1 0 0 0 0 2 0 1 1 0 1 4 -1 1 1 -1 -1 -1 0] [ 0 -1 2 -1 2 0 0 0 -1 0 -1 -1 -1 0 -1 4 1 0 1 0 2 0] [-1 -1 -1 2 1 0 0 0 1 -1 1 1 0 2 1 1 4 1 0 -1 0 0] [-2 -1 -1 -1 1 0 0 -1 1 -1 1 0 1 2 1 0 1 4 0 -1 -1 0] [-1 0 2 -1 1 0 0 0 -1 -1 1 -2 -1 -1 -1 1 0 0 4 -1 0 0] [ 2 0 1 1 0 0 0 1 0 2 -1 0 1 -1 -1 0 -1 -1 -1 4 2 0] [ 2 0 2 -1 2 -2 1 0 -1 1 -1 0 -2 -1 -1 2 0 -1 0 2 6 -1] [ 1 1 -2 1 -1 1 -2 0 0 0 -1 0 2 -1 0 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 655. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 2 -1 -1 -2 1 -2 0 -2 0 1 -1 -1 -1 -1 0 -1 0 1 -2] [ 0 6 3 0 2 3 0 0 1 1 0 1 -2 1 -1 3 3 -1 2 1 1 3] [-2 3 6 -1 3 3 1 -2 2 -1 2 0 -3 2 0 3 1 1 1 -1 0 4] [ 2 0 -1 4 -1 -2 -2 1 -2 -1 0 -1 0 -1 1 1 -1 0 0 0 0 -2] [-1 2 3 -1 4 1 0 0 1 1 0 1 -2 1 -1 2 1 1 0 -1 1 2] [-1 3 3 -2 1 6 2 -1 3 0 1 2 -1 0 -2 0 2 0 0 0 -1 2] [-2 0 1 -2 0 2 4 -2 2 1 2 1 0 1 0 -1 0 0 0 0 -2 1] [ 1 0 -2 1 0 -1 -2 4 -1 1 -1 1 0 -2 0 -1 0 0 0 0 1 -2] [-2 1 2 -2 1 3 2 -1 4 1 1 1 -1 0 -1 0 1 0 1 0 -1 2] [ 0 1 -1 -1 1 0 1 1 1 4 -1 2 0 0 -1 -1 1 -1 0 1 0 0] [-2 0 2 0 0 1 2 -1 1 -1 4 0 -1 0 1 0 -1 0 1 0 -2 1] [ 0 1 0 -1 1 2 1 1 1 2 0 4 0 -1 -1 -1 1 -1 -1 1 0 -1] [ 1 -2 -3 0 -2 -1 0 0 -1 0 -1 0 4 -1 0 -1 -1 0 -1 0 -1 -2] [-1 1 2 -1 1 0 1 -2 0 0 0 -1 -1 4 0 1 1 1 1 -1 0 2] [-1 -1 0 1 -1 -2 0 0 -1 -1 1 -1 0 0 4 1 -1 -1 0 0 0 0] [-1 3 3 1 2 0 -1 -1 0 -1 0 -1 -1 1 1 6 2 0 1 0 1 3] [-1 3 1 -1 1 2 0 0 1 1 -1 1 -1 1 -1 2 4 -1 1 1 1 2] [ 0 -1 1 0 1 0 0 0 0 -1 0 -1 0 1 -1 0 -1 4 0 -2 0 0] [-1 2 1 0 0 0 0 0 1 0 1 -1 -1 1 0 1 1 0 4 0 0 2] [ 0 1 -1 0 -1 0 0 0 0 1 0 1 0 -1 0 0 1 -2 0 4 1 0] [ 1 1 0 0 1 -1 -2 1 -1 0 -2 0 -1 0 0 1 1 0 0 1 4 0] [-2 3 4 -2 2 2 1 -2 2 0 1 -1 -2 2 0 3 2 0 2 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 656. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 2 2 1 -1 1 2 -2 -2 2 0 -1 -2 1 0 -1 0 -2 -1] [-1 4 0 0 0 0 -1 2 0 0 2 1 -2 0 2 2 -2 -1 1 1 1 0] [-2 0 4 2 -2 -2 1 -1 -1 -2 0 2 -1 0 0 2 -1 0 -1 0 1 1] [-1 0 2 4 -2 -1 2 1 -1 -1 1 0 -1 -1 -1 2 -1 -1 -1 1 1 1] [ 2 0 -2 -2 4 1 0 -1 2 2 -2 -1 2 1 0 -1 0 0 0 0 -2 -1] [ 2 0 -2 -1 1 6 -1 0 2 0 -1 -3 0 -2 0 0 1 -1 0 1 -2 -2] [ 1 -1 1 2 0 -1 6 -2 0 1 1 0 1 -1 -2 2 -2 -2 0 2 -1 2] [-1 2 -1 1 -1 0 -2 6 -2 -1 3 0 -1 0 2 0 -1 -1 1 1 1 1] [ 1 0 -1 -1 2 2 0 -2 4 1 -1 -2 1 -1 0 1 0 0 0 0 -1 -2] [ 2 0 -2 -1 2 0 1 -1 1 4 0 -1 1 0 -1 -1 0 0 1 0 -1 0] [-2 2 0 1 -2 -1 1 3 -1 0 6 1 -2 -1 1 2 -2 -2 2 2 1 2] [-2 1 2 0 -1 -3 0 0 -2 -1 1 4 -1 1 1 1 -1 0 0 0 1 1] [ 2 -2 -1 -1 2 0 1 -1 1 1 -2 -1 4 0 -1 -2 0 0 0 0 -2 0] [ 0 0 0 -1 1 -2 -1 0 -1 0 -1 1 0 4 0 -2 1 2 0 -2 0 0] [-1 2 0 -1 0 0 -2 2 0 -1 1 1 -1 0 4 1 -1 -1 0 0 1 0] [-2 2 2 2 -1 0 2 0 1 -1 2 1 -2 -2 1 6 -2 -2 0 2 1 1] [ 1 -2 -1 -1 0 1 -2 -1 0 0 -2 -1 0 1 -1 -2 4 2 -1 -2 0 -1] [ 0 -1 0 -1 0 -1 -2 -1 0 0 -2 0 0 2 -1 -2 2 4 0 -2 1 -1] [-1 1 -1 -1 0 0 0 1 0 1 2 0 0 0 0 0 -1 0 4 0 0 1] [ 0 1 0 1 0 1 2 1 0 0 2 0 0 -2 0 2 -2 -2 0 4 0 1] [-2 1 1 1 -2 -2 -1 1 -1 -1 1 1 -2 0 1 1 0 1 0 0 4 0] [-1 0 1 1 -1 -2 2 1 -2 0 2 1 0 0 0 1 -1 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 657. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 2 0 1 0 -1 -1 -1 -2 0 -1 2 1 2 -1 0 -1 0 0] [ 1 4 -1 1 1 -1 1 1 0 -2 0 0 1 0 2 -1 2 -2 0 0 0 1] [ 2 -1 4 0 0 0 0 -1 0 -1 -1 -1 0 0 1 2 0 1 -1 -1 1 0] [ 1 1 0 4 2 1 2 -1 1 -1 -1 0 1 1 0 0 2 -2 1 -1 0 0] [ 2 1 0 2 6 2 3 1 -2 1 1 0 -1 0 -1 0 2 -2 2 1 -2 2] [ 0 -1 0 1 2 4 0 1 0 2 0 1 -1 -1 -1 -1 0 0 2 0 -1 1] [ 1 1 0 2 3 0 4 0 0 0 1 0 1 1 -1 0 2 -2 1 1 -1 1] [ 0 1 -1 -1 1 1 0 4 0 2 0 1 -1 -1 -1 -2 1 -1 1 0 -1 2] [-1 0 0 1 -2 0 0 0 4 0 -1 0 2 1 -1 0 0 0 -1 -1 0 0] [-1 -2 -1 -1 1 2 0 2 0 6 0 0 -1 0 -3 -1 0 1 2 0 -1 1] [-1 0 -1 -1 1 0 1 0 -1 0 4 0 0 -1 0 0 -1 0 0 2 -1 1] [-2 0 -1 0 0 1 0 1 0 0 0 4 0 0 -2 -2 0 0 1 0 -1 0] [ 0 1 0 1 -1 -1 1 -1 2 -1 0 0 4 0 1 0 1 -1 0 0 0 0] [-1 0 0 1 0 -1 1 -1 1 0 -1 0 0 4 -2 1 0 0 -1 0 1 0] [ 2 2 1 0 -1 -1 -1 -1 -1 -3 0 -2 1 -2 6 0 0 -1 0 0 1 0] [ 1 -1 2 0 0 -1 0 -2 0 -1 0 -2 0 1 0 4 0 1 -2 0 1 0] [ 2 2 0 2 2 0 2 1 0 0 -1 0 1 0 0 0 4 -2 1 -1 0 1] [-1 -2 1 -2 -2 0 -2 -1 0 1 0 0 -1 0 -1 1 -2 4 -1 0 1 -1] [ 0 0 -1 1 2 2 1 1 -1 2 0 1 0 -1 0 -2 1 -1 4 0 -1 1] [-1 0 -1 -1 1 0 1 0 -1 0 2 0 0 0 0 0 -1 0 0 4 0 1] [ 0 0 1 0 -2 -1 -1 -1 0 -1 -1 -1 0 1 1 1 0 1 -1 0 4 -1] [ 0 1 0 0 2 1 1 2 0 1 1 0 0 0 0 0 1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 658. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 -1 -2 2 -1 0 0 -2 2 -1 0 0 1 2 1 -2 2 1] [-2 4 2 -1 1 1 2 -1 0 1 1 0 -2 1 0 0 -1 0 -1 2 -1 0] [-2 2 4 -1 2 2 2 0 1 -1 0 1 -2 1 -1 0 -2 0 0 2 0 0] [ 1 -1 -1 4 1 -2 -1 2 -2 1 -1 1 -1 1 1 0 0 2 2 -1 2 0] [-1 1 2 1 4 1 1 0 -1 1 0 2 -1 2 1 0 -1 0 0 1 0 0] [-1 1 2 -2 1 4 2 -1 2 0 0 0 -1 1 0 1 -1 -2 0 1 0 -1] [-2 2 2 -1 1 2 4 -2 0 1 0 1 -2 2 0 0 0 -2 0 2 -1 0] [ 2 -1 0 2 0 -1 -2 4 0 -1 0 -1 0 -1 0 0 -1 3 2 -1 3 0] [-1 0 1 -2 -1 2 0 0 6 0 1 1 0 0 -2 -1 0 -2 0 1 1 -2] [ 0 1 -1 1 1 0 1 -1 0 6 0 0 1 2 1 -2 2 0 0 0 1 1] [ 0 1 0 -1 0 0 0 0 1 0 4 1 1 0 1 0 1 -1 0 0 0 0] [-2 0 1 1 2 0 1 -1 1 0 1 6 -2 2 1 -1 0 -3 0 0 -1 -2] [ 2 -2 -2 -1 -1 -1 -2 0 0 1 1 -2 6 -1 0 -1 1 1 -1 -1 1 2] [-1 1 1 1 2 1 2 -1 0 2 0 2 -1 4 0 0 0 -1 0 1 1 0] [ 0 0 -1 1 1 0 0 0 -2 1 1 1 0 0 4 0 0 -1 1 -1 -1 0] [ 0 0 0 0 0 1 0 0 -1 -2 0 -1 -1 0 0 4 0 0 0 0 0 0] [ 1 -1 -2 0 -1 -1 0 -1 0 2 1 0 1 0 0 0 4 -1 0 -1 0 1] [ 2 0 0 2 0 -2 -2 3 -2 0 -1 -3 1 -1 -1 0 -1 6 1 0 3 2] [ 1 -1 0 2 0 0 0 2 0 0 0 0 -1 0 1 0 0 1 4 -1 2 0] [-2 2 2 -1 1 1 2 -1 1 0 0 0 -1 1 -1 0 -1 0 -1 4 0 0] [ 2 -1 0 2 0 0 -1 3 1 1 0 -1 1 1 -1 0 0 3 2 0 6 0] [ 1 0 0 0 0 -1 0 0 -2 1 0 -2 2 0 0 0 1 2 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 659. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 2 0 1 1 0 2 0 -1 2 -1 -2 0 -1 0 2 -1 1 1 0 -1] [ 0 4 -1 1 -2 1 0 0 1 -2 0 1 1 1 -2 0 1 1 -1 -1 1 0] [ 2 -1 6 -2 0 2 0 1 -2 0 1 1 -1 -2 -2 2 1 -2 0 2 2 0] [ 0 1 -2 4 -1 0 0 1 0 -2 1 1 0 0 -1 0 -1 2 0 -2 0 1] [ 1 -2 0 -1 4 -1 1 0 -1 1 0 -1 -2 -1 2 0 0 -1 0 1 0 0] [ 1 1 2 0 -1 4 1 0 0 -2 0 1 0 0 -2 1 2 1 0 -1 0 1] [ 0 0 0 0 1 1 4 1 0 1 1 0 0 0 0 -1 1 0 0 0 -1 0] [ 2 0 1 1 0 0 1 4 -1 -1 2 0 -1 0 0 0 0 -1 0 1 -1 -1] [ 0 1 -2 0 -1 0 0 -1 4 1 0 -1 0 2 -1 -1 1 1 0 -1 -2 -1] [-1 -2 0 -2 1 -2 1 -1 1 6 -1 -1 0 1 2 -1 0 -1 1 1 0 -2] [ 2 0 1 1 0 0 1 2 0 -1 4 0 -1 -1 -2 0 0 -1 0 1 0 -1] [-1 1 1 1 -1 1 0 0 -1 -1 0 4 0 -1 -2 2 -1 0 -2 -1 2 1] [-2 1 -1 0 -2 0 0 -1 0 0 -1 0 4 0 1 -1 0 0 1 0 0 1] [ 0 1 -2 0 -1 0 0 0 2 1 -1 -1 0 4 0 -1 1 1 0 -1 -1 -1] [-1 -2 -2 -1 2 -2 0 0 -1 2 -2 -2 1 0 6 -2 -1 -1 2 1 -2 0] [ 0 0 2 0 0 1 -1 0 -1 -1 0 2 -1 -1 -2 4 0 0 -2 0 2 1] [ 2 1 1 -1 0 2 1 0 1 0 0 -1 0 1 -1 0 4 0 1 0 0 0] [-1 1 -2 2 -1 1 0 -1 1 -1 -1 0 0 1 -1 0 0 4 0 -2 0 1] [ 1 -1 0 0 0 0 0 0 0 1 0 -2 1 0 2 -2 1 0 4 0 -1 0] [ 1 -1 2 -2 1 -1 0 1 -1 1 1 -1 0 -1 1 0 0 -2 0 4 1 -1] [ 0 1 2 0 0 0 -1 -1 -2 0 0 2 0 -1 -2 2 0 0 -1 1 6 0] [-1 0 0 1 0 1 0 -1 -1 -2 -1 1 1 -1 0 1 0 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 660. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 -1 2 1 -1 -2 0 0 1 0 1 0 1 1 -1 0 0 1 1] [ 2 4 -2 -1 0 2 0 0 -2 1 -1 2 0 0 1 1 1 1 -1 0 -1 1] [-2 -2 4 0 1 -1 -1 1 2 0 0 0 -1 -1 1 0 0 1 1 0 -1 -1] [-1 -1 0 4 -1 0 0 0 1 -2 0 -1 1 -1 -2 -2 0 0 -1 -1 0 1] [-1 0 1 -1 4 -1 -2 2 0 2 1 -1 -1 0 0 1 -1 2 0 -1 -2 -1] [ 2 2 -1 0 -1 4 1 -1 0 -1 0 2 1 1 0 1 0 0 0 0 0 2] [ 1 0 -1 0 -2 1 4 0 -1 -2 -1 0 0 1 -1 1 -1 -1 1 0 1 0] [-1 0 1 0 2 -1 0 4 0 0 0 -1 -2 0 0 1 -1 2 1 0 -2 -2] [-2 -2 2 1 0 0 -1 0 4 -1 0 0 0 0 0 -1 0 0 0 0 0 0] [ 0 1 0 -2 2 -1 -2 0 -1 4 1 0 0 -1 1 1 1 1 -1 0 -1 0] [ 0 -1 0 0 1 0 -1 0 0 1 4 -2 0 1 -1 0 -1 0 1 -1 0 0] [ 1 2 0 -1 -1 2 0 -1 0 0 -2 4 0 0 2 1 1 0 0 1 0 1] [ 0 0 -1 1 -1 1 0 -2 0 0 0 0 4 -1 -1 -1 0 0 -2 0 1 2] [ 1 0 -1 -1 0 1 1 0 0 -1 1 0 -1 4 0 0 -1 -1 2 0 1 0] [ 0 1 1 -2 0 0 -1 0 0 1 -1 2 -1 0 4 1 1 1 1 2 -1 0] [ 1 1 0 -2 1 1 1 1 -1 1 0 1 -1 0 1 4 -1 1 1 0 -1 0] [ 1 1 0 0 -1 0 -1 -1 0 1 -1 1 0 -1 1 -1 4 0 -1 0 0 0] [-1 1 1 0 2 0 -1 2 0 1 0 0 0 -1 1 1 0 4 0 0 -2 0] [ 0 -1 1 -1 0 0 1 1 0 -1 1 0 -2 2 1 1 -1 0 4 0 0 -1] [ 0 0 0 -1 -1 0 0 0 0 0 -1 1 0 0 2 0 0 0 0 4 1 0] [ 1 -1 -1 0 -2 0 1 -2 0 -1 0 0 1 1 -1 -1 0 -2 0 1 4 0] [ 1 1 -1 1 -1 2 0 -2 0 0 0 1 2 0 0 0 0 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 661. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 1 1 -1 1 2 0 0 1 2 0 -1 1 -1 -1 1 0 -2 1] [ 1 4 -2 -1 1 1 1 0 0 0 0 0 0 0 -1 -1 1 1 0 0 -1 0] [-1 -2 4 0 -1 0 1 0 0 -1 0 1 0 1 1 1 0 0 -1 0 2 -1] [ 2 -1 0 4 1 1 -1 1 2 0 -1 1 1 -1 0 1 -2 -2 1 -1 -2 0] [ 1 1 -1 1 4 -1 0 -1 1 -1 1 1 0 -1 -2 1 -2 1 2 1 0 -1] [ 1 1 0 1 -1 4 0 2 1 1 -1 0 0 -1 1 -1 0 -2 -1 -1 -2 1] [-1 1 1 -1 0 0 4 0 0 0 -1 -1 -1 0 0 0 0 1 -1 -1 0 -2] [ 1 0 0 1 -1 2 0 4 2 0 -2 0 1 0 1 1 -1 -2 0 -2 -1 0] [ 2 0 0 2 1 1 0 2 4 0 -1 0 2 0 -1 2 -2 -1 0 -1 -2 0] [ 0 0 -1 0 -1 1 0 0 0 4 -1 -2 0 0 0 -1 1 0 0 -1 -1 1] [ 0 0 0 -1 1 -1 -1 -2 -1 -1 4 0 0 -1 0 0 0 1 0 2 1 1] [ 1 0 1 1 1 0 -1 0 0 -2 0 4 1 0 -1 0 0 0 1 0 0 -1] [ 2 0 0 1 0 0 -1 1 2 0 0 1 4 0 0 1 0 -1 1 0 -1 1] [ 0 0 1 -1 -1 -1 0 0 0 0 -1 0 0 4 -1 1 1 1 -1 0 2 0] [-1 -1 1 0 -2 1 0 1 -1 0 0 -1 0 -1 4 -1 0 -2 0 0 0 1] [ 1 -1 1 1 1 -1 0 1 2 -1 0 0 1 1 -1 4 -1 0 0 0 1 0] [-1 1 0 -2 -2 0 0 -1 -2 1 0 0 0 1 0 -1 4 1 -1 0 1 1] [-1 1 0 -2 1 -2 1 -2 -1 0 1 0 -1 1 -2 0 1 4 0 1 2 -1] [ 1 0 -1 1 2 -1 -1 0 0 0 0 1 1 -1 0 0 -1 0 4 0 0 0] [ 0 0 0 -1 1 -1 -1 -2 -1 -1 2 0 0 0 0 0 0 1 0 4 2 1] [-2 -1 2 -2 0 -2 0 -1 -2 -1 1 0 -1 2 0 1 1 2 0 2 6 -1] [ 1 0 -1 0 -1 1 -2 0 0 1 1 -1 1 0 1 0 1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 662. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 1 1 0 2 0 0 1 -2 1 -1 -1 1 0 -1 0 1 -2 1] [ 2 4 0 0 -1 -1 0 2 1 0 -1 0 1 -1 1 1 1 0 0 0 0 0] [ 1 0 4 -2 2 2 0 2 1 1 2 -1 -1 0 -1 -1 -1 -2 0 2 -1 -1] [-1 0 -2 4 -2 0 1 -1 -1 -1 -2 1 -1 -1 0 0 1 2 1 -2 2 -1] [ 1 -1 2 -2 4 1 0 0 1 0 2 -1 0 1 0 0 -2 -2 -1 2 -2 0] [ 1 -1 2 0 1 6 2 -1 1 -1 1 -1 -1 -1 0 -2 -2 -2 2 2 0 -1] [ 0 0 0 1 0 2 4 -1 1 0 0 1 0 0 2 -2 -2 -1 1 1 2 -1] [ 2 2 2 -1 0 -1 -1 6 1 0 0 0 -1 -2 -1 1 2 0 -1 0 -2 0] [ 0 1 1 -1 1 1 1 1 4 0 0 1 -1 0 1 0 -1 -1 -1 1 -1 -1] [ 0 0 1 -1 0 -1 0 0 0 4 0 0 0 2 0 0 0 0 0 0 1 -1] [ 1 -1 2 -2 2 1 0 0 0 0 4 -1 0 0 -2 0 -2 -2 -1 2 -1 0] [-2 0 -1 1 -1 -1 1 0 1 0 -1 4 -1 0 1 0 0 0 -1 -1 2 -1] [ 1 1 -1 -1 0 -1 0 -1 -1 0 0 -1 4 0 2 0 0 -1 1 1 0 2] [-1 -1 0 -1 1 -1 0 -2 0 2 0 0 0 4 0 0 -1 0 -1 0 1 0] [-1 1 -1 0 0 0 2 -1 1 0 -2 1 2 0 6 -2 -1 -1 2 1 1 0] [ 1 1 -1 0 0 -2 -2 1 0 0 0 0 0 0 -2 4 2 1 -2 -1 -1 1] [ 0 1 -1 1 -2 -2 -2 2 -1 0 -2 0 0 -1 -1 2 4 2 0 -2 0 1] [-1 0 -2 2 -2 -2 -1 0 -1 0 -2 0 -1 0 -1 1 2 4 0 -2 1 0] [ 0 0 0 1 -1 2 1 -1 -1 0 -1 -1 1 -1 2 -2 0 0 4 0 1 0] [ 1 0 2 -2 2 2 1 0 1 0 2 -1 1 0 1 -1 -2 -2 0 4 0 0] [-2 0 -1 2 -2 0 2 -2 -1 1 -1 2 0 1 1 -1 0 1 1 0 6 -2] [ 1 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 2 0 0 1 1 0 0 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 663. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 -1 0 1 0 1 -1 1 2 -1 1 1 -1 1 2 2 -2 1] [ 2 4 -1 -1 1 -2 0 2 1 2 -1 0 2 0 0 0 -1 0 2 2 -2 -1] [ 0 -1 4 0 0 0 0 -1 -2 -1 -1 -1 -2 -1 0 -1 -1 1 -1 0 -1 1] [ 0 -1 0 4 -2 2 -1 0 -1 -1 1 1 0 1 0 2 1 0 0 1 2 2] [ 0 1 0 -2 4 0 -1 1 1 1 0 0 -1 1 -1 -1 -1 1 0 0 0 -1] [-1 -2 0 2 0 6 -1 0 0 -1 2 0 -1 1 1 1 -1 0 1 1 3 3] [ 0 0 0 -1 -1 -1 4 -2 0 0 -2 1 2 -1 -1 -2 0 1 0 1 -1 1] [ 1 2 -1 0 1 0 -2 4 0 2 1 -1 1 1 0 2 -1 -1 1 0 -1 -1] [ 0 1 -2 -1 1 0 0 0 4 0 0 1 1 0 1 0 -1 -1 1 1 0 0] [ 1 2 -1 -1 1 -1 0 2 0 4 -1 -1 2 1 0 0 -1 -1 1 1 -2 -2] [-1 -1 -1 1 0 2 -2 1 0 -1 4 -1 -2 0 1 2 1 -1 0 -2 2 0] [ 1 0 -1 1 0 0 1 -1 1 -1 -1 4 2 1 -1 0 0 2 0 1 1 2] [ 2 2 -2 0 -1 -1 2 1 1 2 -2 2 6 0 0 0 -1 0 1 2 -1 1] [-1 0 -1 1 1 1 -1 1 0 1 0 1 0 4 -2 0 0 0 0 0 1 -1] [ 1 0 0 0 -1 1 -1 0 1 0 1 -1 0 -2 4 1 -1 -1 1 0 0 1] [ 1 0 -1 2 -1 1 -2 2 0 0 2 0 0 0 1 4 0 -1 1 0 0 1] [-1 -1 -1 1 -1 -1 0 -1 -1 -1 1 0 -1 0 -1 0 4 0 -1 -1 2 -1] [ 1 0 1 0 1 0 1 -1 -1 -1 -1 2 0 0 -1 -1 0 4 0 1 1 2] [ 2 2 -1 0 0 1 0 1 1 1 0 0 1 0 1 1 -1 0 4 2 -1 1] [ 2 2 0 1 0 1 1 0 1 1 -2 1 2 0 0 0 -1 1 2 6 0 2] [-2 -2 -1 2 0 3 -1 -1 0 -2 2 1 -1 1 0 0 2 1 -1 0 6 1] [ 1 -1 1 2 -1 3 1 -1 0 -2 0 2 1 -1 1 1 -1 2 1 2 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 664. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 2 1 1 0 1 0 -1 0 1 0 0 -1 1 -1 -1 1 0] [-1 6 -3 1 2 1 1 -3 1 -1 2 -2 0 -2 1 -1 -1 1 1 -1 -1 -1] [ 2 -3 6 -2 -1 1 1 0 1 2 -1 1 0 1 1 -1 -1 1 -2 -1 -1 -1] [ 0 1 -2 4 0 0 1 0 -1 -1 -1 -1 1 -1 0 -1 -1 -1 1 1 -1 0] [ 0 2 -1 0 4 0 -1 -1 1 -1 0 -1 1 0 -1 0 1 0 1 0 -1 1] [ 2 1 1 0 0 4 0 0 1 0 1 -2 1 0 0 0 -2 0 -1 0 -1 0] [ 1 1 1 1 -1 0 4 -1 -1 0 0 0 -1 -1 1 -2 -1 2 -1 -2 0 -2] [ 1 -3 0 0 -1 0 -1 4 -1 0 0 1 0 2 -2 2 0 -1 0 1 1 1] [ 0 1 1 -1 1 1 -1 -1 4 0 1 -1 1 1 0 0 0 -1 -1 1 0 -1] [ 1 -1 2 -1 -1 0 0 0 0 4 -1 0 0 0 2 0 0 1 0 -1 0 0] [ 0 2 -1 -1 0 1 0 0 1 -1 4 -1 0 1 -1 1 -1 0 -1 0 0 0] [-1 -2 1 -1 -1 -2 0 1 -1 0 -1 4 -2 1 0 1 0 0 1 0 0 0] [ 0 0 0 1 1 1 -1 0 1 0 0 -2 4 0 -1 0 0 -2 -1 1 -1 1] [ 1 -2 1 -1 0 0 -1 2 1 0 1 1 0 4 -2 2 0 -1 -1 1 1 1] [ 0 1 1 0 -1 0 1 -2 0 2 -1 0 -1 -2 4 -2 -1 1 1 -1 -1 -1] [ 0 -1 -1 -1 0 0 -2 2 0 0 1 1 0 2 -2 4 1 -1 0 1 1 2] [-1 -1 -1 -1 1 -2 -1 0 0 0 -1 0 0 0 -1 1 4 0 0 0 2 1] [ 1 1 1 -1 0 0 2 -1 -1 1 0 0 -2 -1 1 -1 0 4 0 -2 1 -1] [-1 1 -2 1 1 -1 -1 0 -1 0 -1 1 -1 -1 1 0 0 0 4 0 -1 1] [-1 -1 -1 1 0 0 -2 1 1 -1 0 0 1 1 -1 1 0 -2 0 4 0 1] [ 1 -1 -1 -1 -1 -1 0 1 0 0 0 0 -1 1 -1 1 2 1 -1 0 6 -1] [ 0 -1 -1 0 1 0 -2 1 -1 0 0 0 1 1 -1 2 1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 665. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -2 2 -2 1 -1 -2 1 1 1 0 1 -1 1 -1 1 0 -1 -1 1] [ 2 6 2 -1 2 -2 3 1 -2 3 -1 -1 0 0 -2 -2 -2 2 -1 -2 -2 0] [ 0 2 4 1 -1 1 1 2 1 1 -2 -1 1 -1 -2 -2 0 2 1 -2 -1 -1] [-2 -1 1 4 -2 2 0 1 2 0 -1 -1 -1 -1 0 -1 0 -1 0 1 0 -2] [ 2 2 -1 -2 4 -2 0 -1 -2 0 1 0 0 1 0 0 0 0 0 0 0 0] [-2 -2 1 2 -2 4 -1 0 2 0 -1 -1 0 0 0 0 1 0 0 0 0 -1] [ 1 3 1 0 0 -1 4 0 0 2 -1 -1 0 0 -1 -1 -1 1 -1 -1 -2 0] [-1 1 2 1 -1 0 0 4 0 0 -1 -1 1 -2 -1 -2 -1 1 1 -1 1 -1] [-2 -2 1 2 -2 2 0 0 4 -1 -1 0 0 0 0 0 1 0 0 0 0 -1] [ 1 3 1 0 0 0 2 0 -1 4 -1 0 0 0 -1 -1 -1 1 -1 -1 -2 0] [ 1 -1 -2 -1 1 -1 -1 -1 -1 -1 4 2 -1 1 2 2 1 -1 -1 1 0 2] [ 1 -1 -1 -1 0 -1 -1 -1 0 0 2 4 -1 1 1 2 0 0 0 0 0 1] [ 0 0 1 -1 0 0 0 1 0 0 -1 -1 4 0 0 -1 1 1 0 -1 1 0] [ 1 0 -1 -1 1 0 0 -2 0 0 1 1 0 4 0 2 1 -1 -2 1 -1 1] [-1 -2 -2 0 0 0 -1 -1 0 -1 2 1 0 0 4 1 1 -2 -1 1 1 1] [ 1 -2 -2 -1 0 0 -1 -2 0 -1 2 2 -1 2 1 4 1 -1 -1 1 0 2] [-1 -2 0 0 0 1 -1 -1 1 -1 1 0 1 1 1 1 4 -1 0 1 0 1] [ 1 2 2 -1 0 0 1 1 0 1 -1 0 1 -1 -2 -1 -1 4 1 -2 0 0] [ 0 -1 1 0 0 0 -1 1 0 -1 -1 0 0 -2 -1 -1 0 1 4 -1 1 -1] [-1 -2 -2 1 0 0 -1 -1 0 -1 1 0 -1 1 1 1 1 -2 -1 4 1 0] [-1 -2 -1 0 0 0 -2 1 0 -2 0 0 1 -1 1 0 0 0 1 1 4 -1] [ 1 0 -1 -2 0 -1 0 -1 -1 0 2 1 0 1 1 2 1 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 666. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 1 0 1 1 2 1 0 2 -1 -1 0 1 1 1 1 1 2 1 -2] [-2 4 1 -2 -1 1 -2 -2 -1 0 -2 1 2 -1 0 -1 -2 -1 -2 -2 1 2] [-1 1 6 -3 0 1 -3 -1 -2 -2 -2 -1 -2 2 1 -2 -1 1 -3 -1 -2 1] [ 1 -2 -3 6 2 -1 2 2 1 0 2 0 0 -1 0 0 1 1 4 2 2 0] [ 0 -1 0 2 6 -2 0 1 2 2 1 1 1 0 -2 -2 -1 2 0 1 -1 -2] [ 1 1 1 -1 -2 6 -3 -1 -2 0 -1 1 1 -2 2 -1 1 1 -2 -1 0 -1] [ 1 -2 -3 2 0 -3 6 1 2 0 1 0 -2 0 -2 3 1 -1 4 1 0 0] [ 2 -2 -1 2 1 -1 1 4 2 -1 2 -2 -1 0 1 0 0 0 2 2 0 0] [ 1 -1 -2 1 2 -2 2 2 4 1 1 -1 1 0 -1 0 0 0 1 1 0 0] [ 0 0 -2 0 2 0 0 -1 1 4 0 2 2 -1 -2 0 0 0 -1 0 0 -2] [ 2 -2 -2 2 1 -1 1 2 1 0 4 0 -1 0 1 0 0 0 2 2 0 -2] [-1 1 -1 0 1 1 0 -2 -1 2 0 4 1 -1 -1 0 0 0 0 -1 0 -1] [-1 2 -2 0 1 1 -2 -1 1 2 -1 1 6 -2 -1 -1 0 0 -2 -1 2 0] [ 0 -1 2 -1 0 -2 0 0 0 -1 0 -1 -2 4 0 0 0 1 0 1 -1 1] [ 1 0 1 0 -2 2 -2 1 -1 -2 1 -1 -1 0 4 -1 0 0 0 0 1 1] [ 1 -1 -2 0 -2 -1 3 0 0 0 0 0 -1 0 -1 4 1 -1 2 0 1 0] [ 1 -2 -1 1 -1 1 1 0 0 0 0 0 0 0 0 1 4 1 1 0 0 -1] [ 1 -1 1 1 2 1 -1 0 0 0 0 0 0 1 0 -1 1 4 0 1 0 -1] [ 1 -2 -3 4 0 -2 4 2 1 -1 2 0 -2 0 0 2 1 0 6 1 1 1] [ 2 -2 -1 2 1 -1 1 2 1 0 2 -1 -1 1 0 0 0 1 1 4 1 -1] [ 1 1 -2 2 -1 0 0 0 0 0 0 0 2 -1 1 1 0 0 1 1 6 1] [-2 2 1 0 -2 -1 0 0 0 -2 -2 -1 0 1 1 0 -1 -1 1 -1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 667. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -2 2 0 -1 -2 0 1 0 0 -1 0 0 -1 1 -2 1 2 -1 -2] [ 2 4 0 -1 1 -1 0 -2 0 -1 0 -1 0 1 -1 0 0 0 1 1 1 -2] [ 2 0 4 -2 2 0 0 -1 0 0 -1 1 0 0 0 -1 2 -2 -1 1 -2 0] [-2 -1 -2 4 -2 0 1 0 -1 0 0 1 1 0 -1 0 0 2 1 -1 1 1] [ 2 1 2 -2 4 0 -1 0 -1 -1 -1 -1 -1 1 1 -1 1 -2 -1 1 -2 0] [ 0 -1 0 0 0 4 -2 2 0 2 0 1 1 -1 1 1 -1 -1 -1 -1 1 1] [-1 0 0 1 -1 -2 4 0 0 -1 -1 -1 1 0 0 -1 1 2 1 0 0 1] [-2 -2 -1 0 0 2 0 6 0 1 -1 0 0 -1 1 1 -1 0 -2 -2 1 1] [ 0 0 0 -1 -1 0 0 0 4 -1 2 0 0 -2 0 -1 -2 0 0 0 -1 1] [ 1 -1 0 0 -1 2 -1 1 -1 6 -1 1 -1 0 -1 1 1 0 1 1 1 -2] [ 0 0 -1 0 -1 0 -1 -1 2 -1 4 0 -1 -2 0 0 -2 0 0 -1 -1 0] [ 0 -1 1 1 -1 1 -1 0 0 1 0 4 1 0 -1 1 0 -1 0 0 0 -1] [-1 0 0 1 -1 1 1 0 0 -1 -1 1 4 0 1 0 0 1 0 0 2 2] [ 0 1 0 0 1 -1 0 -1 -2 0 -2 0 0 4 -1 1 1 0 0 1 1 -1] [ 0 -1 0 -1 1 1 0 1 0 -1 0 -1 1 -1 4 -1 -1 -1 0 0 -1 2] [-1 0 -1 0 -1 1 -1 1 -1 1 0 1 0 1 -1 4 0 0 -1 -1 2 -1] [ 1 0 2 0 1 -1 1 -1 -2 1 -2 0 0 1 -1 0 4 0 0 1 0 0] [-2 0 -2 2 -2 -1 2 0 0 0 0 -1 1 0 -1 0 0 4 1 0 2 1] [ 1 1 -1 1 -1 -1 1 -2 0 1 0 0 0 0 0 -1 0 1 4 1 0 -1] [ 2 1 1 -1 1 -1 0 -2 0 1 -1 0 0 1 0 -1 1 0 1 4 0 -1] [-1 1 -2 1 -2 1 0 1 -1 1 -1 0 2 1 -1 2 0 2 0 0 6 -1] [-2 -2 0 1 0 1 1 1 1 -2 0 -1 2 -1 2 -1 0 1 -1 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 668. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 0 -1 -1 -1 1 1 1 1 1 -1 -1 2 1 2 -1 0] [-2 4 -2 2 1 1 1 0 1 -1 -2 -1 0 -1 0 -1 0 -2 -1 -2 1 1] [ 2 -2 4 -2 -1 -1 0 1 -1 1 2 1 0 1 1 0 -1 2 0 2 0 1] [-2 2 -2 4 1 2 -1 0 1 0 0 0 -1 -2 -1 1 0 -2 -1 -1 0 0] [ 0 1 -1 1 4 2 -1 0 2 -2 0 0 1 -2 -1 1 -1 -1 -1 -2 -1 1] [-1 1 -1 2 2 4 -2 0 2 0 0 0 1 -1 -2 2 0 -1 -2 -2 0 0] [ 0 1 0 -1 -1 -2 4 1 0 -1 0 0 -1 1 2 -1 1 0 0 1 0 1] [-1 0 1 0 0 0 1 4 0 1 1 0 0 0 1 0 1 0 -1 0 -1 2] [-1 1 -1 1 2 2 0 0 4 0 1 1 0 0 -2 2 0 -2 -2 -1 0 0] [-1 -1 1 0 -2 0 -1 1 0 4 1 0 0 1 -1 0 1 0 0 1 1 0] [ 1 -2 2 0 0 0 0 1 1 1 6 3 -1 0 -1 3 -1 1 -1 3 -2 1] [ 1 -1 1 0 0 0 0 0 1 0 3 4 0 0 0 1 0 1 0 1 -1 0] [ 1 0 0 -1 1 1 -1 0 0 0 -1 0 4 1 0 -1 0 0 1 -2 0 1] [ 1 -1 1 -2 -2 -1 1 0 0 1 0 0 1 4 0 0 0 0 1 1 0 0] [ 1 0 1 -1 -1 -2 2 1 -2 -1 -1 0 0 0 4 -2 1 1 1 1 0 1] [-1 -1 0 1 1 2 -1 0 2 0 3 1 -1 0 -2 6 0 -1 -2 0 -1 0] [-1 0 -1 0 -1 0 1 1 0 1 -1 0 0 0 1 0 4 0 0 0 1 0] [ 2 -2 2 -2 -1 -1 0 0 -2 0 1 1 0 0 1 -1 0 4 1 2 0 0] [ 1 -1 0 -1 -1 -2 0 -1 -2 0 -1 0 1 1 1 -2 0 1 4 0 0 0] [ 2 -2 2 -1 -2 -2 1 0 -1 1 3 1 -2 1 1 0 0 2 0 6 0 0] [-1 1 0 0 -1 0 0 -1 0 1 -2 -1 0 0 0 -1 1 0 0 0 4 -1] [ 0 1 1 0 1 0 1 2 0 0 1 0 1 0 1 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 669. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 -1 1 -2 1 -1 -1 0 1 2 0 1 2 1 -2 2 -2 0 -2] [ 0 4 -1 1 2 2 1 1 2 -1 1 1 2 -1 -1 -1 -1 0 1 1 0 2] [ 1 -1 4 0 0 1 0 -1 0 -1 1 0 -1 -1 0 1 -1 -1 2 0 -1 0] [-2 1 0 4 2 1 2 -1 1 1 0 0 0 0 -1 -2 -1 2 0 2 0 3] [-1 2 0 2 4 2 1 1 2 -1 0 0 0 0 -2 -1 -2 1 0 1 0 3] [ 1 2 1 1 2 4 1 0 2 -2 0 1 2 0 -1 -1 -1 -1 2 0 0 1] [-2 1 0 2 1 1 4 -2 2 1 0 0 0 0 -1 -2 -1 0 0 2 0 1] [ 1 1 -1 -1 1 0 -2 4 -1 -1 0 1 1 0 0 0 0 0 0 -1 1 0] [-1 2 0 1 2 2 2 -1 4 -1 0 0 0 0 -2 -1 -2 0 0 1 0 2] [-1 -1 -1 1 -1 -2 1 -1 -1 4 0 0 0 0 1 0 0 1 -1 1 1 -1] [ 0 1 1 0 0 0 0 0 0 0 4 1 -1 -2 0 0 0 -1 1 1 0 1] [ 1 1 0 0 0 1 0 1 0 0 1 4 2 -1 -1 -1 0 0 2 -1 2 0] [ 2 2 -1 0 0 2 0 1 0 0 -1 2 6 1 0 0 1 -1 2 -1 0 -1] [ 0 -1 -1 0 0 0 0 0 0 0 -2 -1 1 4 -1 0 0 0 -1 0 -1 0] [ 1 -1 0 -1 -2 -1 -1 0 -2 1 0 -1 0 -1 4 1 2 -1 0 0 0 -2] [ 2 -1 1 -2 -1 -1 -2 0 -1 0 0 -1 0 0 1 4 1 -1 0 -1 -1 -1] [ 1 -1 -1 -1 -2 -1 -1 0 -2 0 0 0 1 0 2 1 4 -1 0 -1 0 -1] [-2 0 -1 2 1 -1 0 0 0 1 -1 0 -1 0 -1 -1 -1 4 -1 1 1 2] [ 2 1 2 0 0 2 0 0 0 -1 1 2 2 -1 0 0 0 -1 4 -1 0 0] [-2 1 0 2 1 0 2 -1 1 1 1 -1 -1 0 0 -1 -1 1 -1 4 0 2] [ 0 0 -1 0 0 0 0 1 0 1 0 2 0 -1 0 -1 0 1 0 0 4 -1] [-2 2 0 3 3 1 1 0 2 -1 1 0 -1 0 -2 -1 -1 2 0 2 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 670. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 -1 -1 0 1 -1 2 -1 -2 2 1 1 -1 2 1 1 -1 0 2] [ 1 4 0 -1 0 1 1 2 0 1 0 -1 1 1 0 0 -1 2 0 0 1 2] [ 0 0 4 0 0 2 0 1 -1 0 0 1 1 1 -2 -1 -1 -1 0 0 0 -1] [ 2 -1 0 6 1 -2 0 1 0 2 0 0 1 -1 2 0 2 -2 2 0 -1 2] [-1 0 0 1 4 -1 -1 0 -1 -1 2 1 0 0 -1 0 -1 0 -1 2 -1 -1] [-1 1 2 -2 -1 6 -1 1 2 -1 -2 0 0 0 -3 -2 -2 0 -2 -2 2 1] [ 0 1 0 0 -1 -1 4 0 0 2 0 1 0 1 1 1 1 0 1 0 1 1] [ 1 2 1 1 0 1 0 4 1 0 0 -1 0 0 1 -1 -1 0 1 0 0 2] [-1 0 -1 0 -1 2 0 1 4 -1 -1 0 -1 -1 0 -1 -1 -1 0 -1 1 2] [ 2 1 0 2 -1 -1 2 0 -1 4 -1 0 1 1 1 1 2 0 1 -1 0 2] [-1 0 0 0 2 -2 0 0 -1 -1 4 0 0 -1 1 1 -1 0 0 2 -1 -1] [-2 -1 1 0 1 0 1 -1 0 0 0 4 0 0 -2 0 0 -1 0 0 -1 -2] [ 2 1 1 1 0 0 0 0 -1 1 0 0 4 0 0 -1 1 0 1 0 0 1] [ 1 1 1 -1 0 0 1 0 -1 1 -1 0 0 4 -2 0 0 1 -1 0 1 0] [ 1 0 -2 2 -1 -3 1 1 0 1 1 -2 0 -2 6 1 1 -1 3 1 -1 2] [-1 0 -1 0 0 -2 1 -1 -1 1 1 0 -1 0 1 4 1 0 0 1 0 0] [ 2 -1 -1 2 -1 -2 1 -1 -1 2 -1 0 1 0 1 1 4 0 1 -1 0 1] [ 1 2 -1 -2 0 0 0 0 -1 0 0 -1 0 1 -1 0 0 4 -1 0 1 0] [ 1 0 0 2 -1 -2 1 1 0 1 0 0 1 -1 3 0 1 -1 4 0 -1 1] [-1 0 0 0 2 -2 0 0 -1 -1 2 0 0 0 1 1 -1 0 0 4 0 -1] [ 0 1 0 -1 -1 2 1 0 1 0 -1 -1 0 1 -1 0 0 1 -1 0 4 1] [ 2 2 -1 2 -1 1 1 2 2 2 -1 -2 1 0 2 0 1 0 1 -1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 671. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 -1 -1 0 -1 1 -1 1 -1 0 2 -1 2 -2 -2 -1] [-2 4 -2 2 1 -1 1 1 0 1 1 -2 1 -2 0 0 -1 0 -2 2 1 2] [ 2 -2 4 -2 -1 0 -1 -1 0 -1 0 2 0 2 0 -1 1 0 0 -1 0 -1] [-2 2 -2 4 1 -1 2 2 -1 0 1 -2 0 -2 0 1 -2 0 -2 1 0 2] [ 0 1 -1 1 4 1 2 -1 -2 0 1 -2 1 -2 -2 0 0 1 1 0 0 0] [ 1 -1 0 -1 1 4 1 -2 0 -1 0 0 0 0 0 -1 2 0 3 -2 -1 0] [-1 1 -1 2 2 1 4 1 -2 0 2 -1 0 -1 0 -1 -1 0 -1 -1 0 1] [-1 1 -1 2 -1 -2 1 4 -1 0 0 0 -1 -1 1 1 -2 -1 -2 1 0 1] [-1 0 0 -1 -2 0 -2 -1 4 0 -1 1 1 1 1 0 0 0 0 0 1 0] [ 0 1 -1 0 0 -1 0 0 0 4 -1 -1 -1 -1 0 -1 0 0 -1 -1 1 1] [-1 1 0 1 1 0 2 0 -1 -1 4 0 1 1 0 -1 0 1 -2 0 0 0] [ 1 -2 2 -2 -2 0 -1 0 1 -1 0 4 -1 2 1 0 0 -1 0 -1 0 -2] [-1 1 0 0 1 0 0 -1 1 -1 1 -1 4 0 -1 0 0 2 -1 2 0 0] [ 1 -2 2 -2 -2 0 -1 -1 1 -1 1 2 0 6 2 -2 0 1 0 -2 0 -1] [-1 0 0 0 -2 0 0 1 1 0 0 1 -1 2 4 -1 -1 -1 -1 -1 1 1] [ 0 0 -1 1 0 -1 -1 1 0 -1 -1 0 0 -2 -1 4 0 -1 0 2 -1 0] [ 2 -1 1 -2 0 2 -1 -2 0 0 0 0 0 0 -1 0 4 0 2 -1 -1 0] [-1 0 0 0 1 0 0 -1 0 0 1 -1 2 1 -1 -1 0 4 0 1 1 0] [ 2 -2 0 -2 1 3 -1 -2 0 -1 -2 0 -1 0 -1 0 2 0 6 -2 -1 -1] [-2 2 -1 1 0 -2 -1 1 0 -1 0 -1 2 -2 -1 2 -1 1 -2 6 1 0] [-2 1 0 0 0 -1 0 0 1 1 0 0 0 0 1 -1 -1 1 -1 1 4 0] [-1 2 -1 2 0 0 1 1 0 1 0 -2 0 -1 1 0 0 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 672. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 0 -1 2 1 2 -1 -2 0 2 1 -1 2 1 0 1 1 -1 0 1] [ 1 4 0 -1 0 2 0 0 1 0 1 0 1 0 0 -1 1 -1 0 1 -1 -1] [-1 0 4 1 0 -1 0 0 0 0 -1 -2 -2 -1 0 1 -1 1 -2 -1 1 0] [ 0 -1 1 4 1 -2 0 0 1 -1 -2 1 1 -1 1 2 -2 0 1 0 2 -1] [-1 0 0 1 4 -2 -2 -1 2 0 1 1 2 1 -1 0 1 0 0 0 0 -1] [ 2 2 -1 -2 -2 6 1 2 -2 0 1 0 0 -1 2 0 1 0 -1 0 0 0] [ 1 0 0 0 -2 1 4 2 0 -1 0 0 0 -2 1 1 -2 -1 0 1 0 0] [ 2 0 0 0 -1 2 2 4 0 -2 0 0 0 -1 2 2 -1 1 0 -1 0 0] [-1 1 0 1 2 -2 0 0 4 0 1 0 1 1 -1 0 0 -1 1 1 0 -1] [-2 0 0 -1 0 0 -1 -2 0 4 1 -1 0 0 -1 -1 1 -1 -1 1 -1 -1] [ 0 1 -1 -2 1 1 0 0 1 1 4 0 0 1 -1 -1 1 0 -1 0 -1 0] [ 2 0 -2 1 1 0 0 0 0 -1 0 4 3 0 1 1 0 0 2 0 0 0] [ 1 1 -2 1 2 0 0 0 1 0 0 3 6 0 1 1 1 -1 2 1 -1 -2] [-1 0 -1 -1 1 -1 -2 -1 1 0 1 0 0 4 -1 -1 1 1 1 -1 0 0] [ 2 0 0 1 -1 2 1 2 -1 -1 -1 1 1 -1 4 2 -1 0 0 -1 1 0] [ 1 -1 1 2 0 0 1 2 0 -1 -1 1 1 -1 2 4 -1 1 0 -1 1 0] [ 0 1 -1 -2 1 1 -2 -1 0 1 1 0 1 1 -1 -1 4 0 0 0 -1 1] [ 1 -1 1 0 0 0 -1 1 -1 -1 0 0 -1 1 0 1 0 4 0 -2 1 1] [ 1 0 -2 1 0 -1 0 0 1 -1 -1 2 2 1 0 0 0 0 4 0 0 0] [-1 1 -1 0 0 0 1 -1 1 1 0 0 1 -1 -1 -1 0 -2 0 4 0 -1] [ 0 -1 1 2 0 0 0 0 0 -1 -1 0 -1 0 1 1 -1 1 0 0 4 0] [ 1 -1 0 -1 -1 0 0 0 -1 -1 0 0 -2 0 0 0 1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 673. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 1 1 0 1 1 -2 0 0 0 0 1 1 0 0 1 -2 1 1] [-2 4 1 -1 -1 -1 -1 0 -1 2 1 -1 -1 1 0 -1 1 -1 -1 2 0 0] [ 0 1 4 -1 1 1 1 0 0 1 2 0 -2 2 0 -1 1 -2 0 1 0 0] [ 1 -1 -1 4 0 0 0 0 2 0 0 -1 0 0 0 1 -1 0 2 0 0 0] [ 1 -1 1 0 4 2 2 1 1 -1 -1 -1 -1 -1 -1 1 -1 0 -1 -1 -1 0] [ 1 -1 1 0 2 4 1 0 0 -1 -1 1 0 0 1 1 1 0 0 -1 -1 -1] [ 0 -1 1 0 2 1 4 -1 0 0 0 -1 0 0 -1 -1 -1 -1 0 0 0 1] [ 1 0 0 0 1 0 -1 4 0 -1 -1 0 -1 0 1 1 1 -1 -1 -1 1 -1] [ 1 -1 0 2 1 0 0 0 4 -1 1 -1 0 -1 0 0 -2 0 0 -1 0 1] [-2 2 1 0 -1 -1 0 -1 -1 4 1 -1 0 1 0 -1 0 0 0 2 -1 0] [ 0 1 2 0 -1 -1 0 -1 1 1 4 0 0 2 0 -2 0 -1 1 1 0 1] [ 0 -1 0 -1 -1 1 -1 0 -1 -1 0 4 0 0 1 0 2 0 0 -1 0 -1] [ 0 -1 -2 0 -1 0 0 -1 0 0 0 0 4 -1 0 -1 -1 2 0 0 -1 1] [ 0 1 2 0 -1 0 0 0 -1 1 2 0 -1 4 0 0 2 -1 1 1 1 -1] [ 1 0 0 0 -1 1 -1 1 0 0 0 1 0 0 4 0 1 -1 0 -1 1 0] [ 1 -1 -1 1 1 1 -1 1 0 -1 -2 0 -1 0 0 4 1 1 0 -1 0 -1] [ 0 1 1 -1 -1 1 -1 1 -2 0 0 2 -1 2 1 1 4 -1 0 0 1 -1] [ 0 -1 -2 0 0 0 -1 -1 0 0 -1 0 2 -1 -1 1 -1 4 0 0 -1 0] [ 1 -1 0 2 -1 0 0 -1 0 0 1 0 0 1 0 0 0 0 4 0 0 0] [-2 2 1 0 -1 -1 0 -1 -1 2 1 -1 0 1 -1 -1 0 0 0 4 0 0] [ 1 0 0 0 -1 -1 0 1 0 -1 0 0 -1 1 1 0 1 -1 0 0 4 0] [ 1 0 0 0 0 -1 1 -1 1 0 1 -1 1 -1 0 -1 -1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 674. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 -1 2 -1 -1 1 -1 2 2 -1 -1 0 -1 2 1 -1 0 -1 -1] [ 2 4 -1 0 -1 0 -2 -2 0 -2 2 2 -1 -1 1 1 1 1 0 0 -1 1] [ 0 -1 4 1 2 0 2 2 0 2 -1 0 0 2 0 -1 0 1 1 0 -1 -1] [ 1 0 1 4 1 1 0 0 -1 0 1 0 0 1 1 0 2 2 0 0 -2 0] [-1 -1 2 1 4 0 2 2 0 1 -2 -1 -1 2 1 0 -1 1 0 0 -1 1] [ 2 0 0 1 0 4 0 -1 0 0 1 0 0 0 -1 -2 1 1 -1 1 -1 -1] [-1 -2 2 0 2 0 4 2 0 2 -1 -2 0 1 -1 -1 0 0 1 1 0 0] [-1 -2 2 0 2 -1 2 4 0 2 -2 -1 0 2 0 -1 -1 0 1 -1 0 0] [ 1 0 0 -1 0 0 0 0 4 0 1 2 -2 0 -1 0 -1 -1 -2 -1 1 0] [-1 -2 2 0 1 0 2 2 0 4 -2 -2 0 2 0 -1 0 0 1 -1 0 0] [ 2 2 -1 1 -2 1 -1 -2 1 -2 6 1 0 -1 -1 1 2 1 0 0 -1 0] [ 2 2 0 0 -1 0 -2 -1 2 -2 1 6 -1 -1 -1 -1 0 1 -2 -1 0 0] [-1 -1 0 0 -1 0 0 0 -2 0 0 -1 4 -1 0 -1 1 -1 2 1 1 -1] [-1 -1 2 1 2 0 1 2 0 2 -1 -1 -1 4 0 0 -1 1 0 -1 -1 1] [ 0 1 0 1 1 -1 -1 0 -1 0 -1 -1 0 0 4 2 0 0 1 0 0 0] [-1 1 -1 0 0 -2 -1 -1 0 -1 1 -1 -1 0 2 4 -1 0 0 0 0 1] [ 2 1 0 2 -1 1 0 -1 -1 0 2 0 1 -1 0 -1 4 1 1 0 -1 0] [ 1 1 1 2 1 1 0 0 -1 0 1 1 -1 1 0 0 1 4 0 0 -2 1] [-1 0 1 0 0 -1 1 1 -2 1 0 -2 2 0 1 0 1 0 4 0 0 0] [ 0 0 0 0 0 1 1 -1 -1 -1 0 -1 1 -1 0 0 0 0 0 4 1 -1] [-1 -1 -1 -2 -1 -1 0 0 1 0 -1 0 1 -1 0 0 -1 -2 0 1 4 -1] [-1 1 -1 0 1 -1 0 0 0 0 0 0 -1 1 0 1 0 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 675. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 -2 2 2 -2 1 1 -2 0 1 -1 1 -1 -1 -1 1 0 2] [ 1 4 -2 0 0 -2 2 0 0 0 -1 -2 0 1 -1 0 1 -2 1 2 1 1] [-1 -2 4 -1 0 1 0 -1 1 1 1 2 1 -1 0 1 0 2 1 -2 -1 0] [ 1 0 -1 4 -1 0 1 0 0 0 0 -2 1 1 1 0 -2 0 -1 0 -1 1] [ 1 0 0 -1 4 -2 0 0 -2 -1 1 -1 0 -1 1 -1 -1 0 1 0 0 1] [-2 -2 1 0 -2 6 0 0 2 -1 1 2 1 1 0 1 -1 1 0 -1 1 -1] [ 2 2 0 1 0 0 6 2 -1 -1 1 -2 2 2 0 0 -1 0 1 0 1 2] [ 2 0 -1 0 0 0 2 4 -2 0 1 -1 0 1 -1 0 -1 -1 -1 1 0 1] [-2 0 1 0 -2 2 -1 -2 4 0 0 2 0 0 0 1 1 1 0 -1 0 -1] [ 1 0 1 0 -1 -1 -1 0 0 4 -1 1 -1 -1 -2 1 0 -1 0 1 -1 1] [ 1 -1 1 0 1 1 1 1 0 -1 4 -1 1 0 1 1 -1 1 0 -1 -1 1] [-2 -2 2 -2 -1 2 -2 -1 2 1 -1 6 0 0 -1 1 1 1 0 -1 0 -1] [ 0 0 1 1 0 1 2 0 0 -1 1 0 4 1 0 1 -1 0 0 -1 0 1] [ 1 1 -1 1 -1 1 2 1 0 -1 0 0 1 4 0 1 0 -1 0 1 1 1] [-1 -1 0 1 1 0 0 -1 0 -2 1 -1 0 0 4 -2 -1 1 1 -1 -1 0] [ 1 0 1 0 -1 1 0 0 1 1 1 1 1 1 -2 4 1 0 -1 0 0 1] [-1 1 0 -2 -1 -1 -1 -1 1 0 -1 1 -1 0 -1 1 4 0 0 0 1 -1] [-1 -2 2 0 0 1 0 -1 1 -1 1 1 0 -1 1 0 0 4 0 -2 0 -1] [-1 1 1 -1 1 0 1 -1 0 0 0 0 0 0 1 -1 0 0 4 0 0 1] [ 1 2 -2 0 0 -1 0 1 -1 1 -1 -1 -1 1 -1 0 0 -2 0 4 1 1] [ 0 1 -1 -1 0 1 1 0 0 -1 -1 0 0 1 -1 0 1 0 0 1 4 -1] [ 2 1 0 1 1 -1 2 1 -1 1 1 -1 1 1 0 1 -1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 676. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 1 -1 1 -1 -1 -1 2 2 1 2 -1 1 0 -1 1 1 1] [ 2 6 -2 -1 2 3 -3 2 1 0 2 1 -1 2 1 1 -1 -2 -1 -2 2 0] [ 0 -2 4 -1 -2 -2 1 0 -2 1 -1 0 0 -1 -1 -1 2 2 -1 0 0 0] [ 0 -1 -1 4 -1 0 1 -1 1 0 1 0 2 0 2 1 0 1 1 2 -1 1] [ 0 2 -2 -1 4 1 -2 0 0 -1 1 0 -2 1 -1 1 -1 -2 -1 -2 0 0] [ 1 3 -2 0 1 4 -2 0 1 -1 0 1 1 2 1 0 -2 -2 -1 -1 1 1] [-1 -3 1 1 -2 -2 4 0 0 1 0 -1 0 -2 0 0 0 2 2 2 -1 -1] [ 1 2 0 -1 0 0 0 4 0 1 0 0 -1 1 0 0 -1 1 1 -1 0 -1] [-1 1 -2 1 0 1 0 0 4 1 2 -1 0 0 1 0 -1 -1 1 -1 0 -1] [-1 0 1 0 -1 -1 1 1 1 4 1 0 0 0 0 0 0 1 1 -1 0 -2] [-1 2 -1 1 1 0 0 0 2 1 6 -2 -2 0 0 1 0 -1 0 -2 0 0] [ 2 1 0 0 0 1 -1 0 -1 0 -2 4 1 0 1 0 0 0 -1 0 0 0] [ 2 -1 0 2 -2 1 0 -1 0 0 -2 1 6 1 3 -2 1 1 0 3 1 2] [ 1 2 -1 0 1 2 -2 1 0 0 0 0 1 4 0 0 -1 -1 -1 -1 1 1] [ 2 1 -1 2 -1 1 0 0 1 0 0 1 3 0 4 -1 0 0 1 2 0 1] [-1 1 -1 1 1 0 0 0 0 0 1 0 -2 0 -1 4 0 0 0 0 0 0] [ 1 -1 2 0 -1 -2 0 -1 -1 0 0 0 1 -1 0 0 4 1 -1 1 1 1] [ 0 -2 2 1 -2 -2 2 1 -1 1 -1 0 1 -1 0 0 1 4 1 2 0 0] [-1 -1 -1 1 -1 -1 2 1 1 1 0 -1 0 -1 1 0 -1 1 4 1 -1 -1] [ 1 -2 0 2 -2 -1 2 -1 -1 -1 -2 0 3 -1 2 0 1 2 1 6 1 1] [ 1 2 0 -1 0 1 -1 0 0 0 0 0 1 1 0 0 1 0 -1 1 4 0] [ 1 0 0 1 0 1 -1 -1 -1 -2 0 0 2 1 1 0 1 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 677. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 2 -1 1 -1 0 -1 1 0 1 -2 0 0 -1 1 1 2 1 2] [ 1 4 0 0 2 0 2 1 0 -2 0 -1 1 -1 0 1 1 2 2 2 -1 -1] [-2 0 4 0 0 0 0 2 0 -1 0 1 0 2 -1 1 2 0 1 -1 0 -1] [-1 0 0 4 -2 2 1 -1 -1 2 -2 0 -1 1 -1 1 1 0 -2 1 -2 1] [ 2 2 0 -2 6 -3 2 2 1 -1 0 1 0 0 2 -1 0 0 1 1 2 1] [-1 0 0 2 -3 4 0 -1 0 0 0 0 0 0 -1 1 1 0 0 1 -2 0] [ 1 2 0 1 2 0 4 1 -1 0 -1 1 1 -1 1 0 1 0 0 2 0 0] [-1 1 2 -1 2 -1 1 4 1 0 -1 1 1 1 0 -1 1 0 0 0 0 -2] [ 0 0 0 -1 1 0 -1 1 4 -1 0 0 0 1 0 -1 -1 1 -1 1 -1 -1] [-1 -2 -1 2 -1 0 0 0 -1 6 -3 1 0 1 0 0 -1 -1 -4 -1 1 0] [ 1 0 0 -2 0 0 -1 -1 0 -3 4 0 0 -1 0 0 0 0 2 -1 1 1] [ 0 -1 1 0 1 0 1 1 0 1 0 4 1 0 0 0 0 -2 -1 -1 2 1] [ 1 1 0 -1 0 0 1 1 0 0 0 1 4 -1 0 0 -1 1 1 0 0 -2] [-2 -1 2 1 0 0 -1 1 1 1 -1 0 -1 4 0 0 1 0 -1 -1 -1 0] [ 0 0 -1 -1 2 -1 1 0 0 0 0 0 0 0 4 -2 -1 -1 0 -1 0 0] [ 0 1 1 1 -1 1 0 -1 -1 0 0 0 0 0 -2 4 1 1 1 1 0 0] [-1 1 2 1 0 1 1 1 -1 -1 0 0 -1 1 -1 1 4 0 1 0 0 1] [ 1 2 0 0 0 0 0 0 1 -1 0 -2 1 0 -1 1 0 4 1 2 -1 -1] [ 1 2 1 -2 1 0 0 0 -1 -4 2 -1 1 -1 0 1 1 1 6 0 0 0] [ 2 2 -1 1 1 1 2 0 1 -1 -1 -1 0 -1 -1 1 0 2 0 6 -1 0] [ 1 -1 0 -2 2 -2 0 0 -1 1 1 2 0 -1 0 0 0 -1 0 -1 6 1] [ 2 -1 -1 1 1 0 0 -2 -1 0 1 1 -2 0 0 0 1 -1 0 0 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 678. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 0 1 0 1 2 -1 -1 1 -1 -1 1 -1 -1 1 0 -2 -1 -2 0] [ 1 4 -2 0 0 0 -1 -1 1 -1 2 0 -1 1 0 -1 1 0 -1 0 -2 1] [-2 -2 6 -2 -1 2 -2 -2 1 3 -1 -1 1 1 1 1 -2 -2 -1 -1 2 1] [ 0 0 -2 4 -1 -2 0 0 0 0 0 0 0 -1 1 1 1 2 0 0 -1 -1] [ 1 0 -1 -1 4 -1 2 1 -1 -2 0 1 1 0 -2 -1 1 1 1 1 -1 -1] [ 0 0 2 -2 -1 4 -1 -1 0 2 0 0 -1 1 0 -1 -2 -2 -2 0 0 2] [ 1 -1 -2 0 2 -1 4 1 -1 -1 -1 1 1 -1 -1 0 1 1 1 1 -1 -2] [ 2 -1 -2 0 1 -1 1 4 -2 -2 0 0 -1 0 -1 -1 1 0 1 0 0 -1] [-1 1 1 0 -1 0 -1 -2 4 2 0 -1 0 1 0 0 -1 1 0 -1 -1 1] [-1 -1 3 0 -2 2 -1 -2 2 6 0 0 0 0 0 0 -1 0 -2 0 -1 1] [ 1 2 -1 0 0 0 -1 0 0 0 4 1 -1 0 -1 0 0 0 -2 -1 -1 1] [-1 0 -1 0 1 0 1 0 -1 0 1 4 1 -2 0 -1 1 1 1 2 -1 -1] [-1 -1 1 0 1 -1 1 -1 0 0 -1 1 4 0 0 1 0 1 0 1 0 -2] [ 1 1 1 -1 0 1 -1 0 1 0 0 -2 0 4 -1 0 -1 -1 -2 -1 0 1] [-1 0 1 1 -2 0 -1 -1 0 0 -1 0 0 -1 4 0 0 -1 1 0 0 0] [-1 -1 1 1 -1 -1 0 -1 0 0 0 -1 1 0 0 4 0 0 -1 -1 2 0] [ 1 1 -2 1 1 -2 1 1 -1 -1 0 1 0 -1 0 0 4 1 1 1 -1 -1] [ 0 0 -2 2 1 -2 1 0 1 0 0 1 1 -1 -1 0 1 4 1 1 -1 -1] [-2 -1 -1 0 1 -2 1 1 0 -2 -2 1 0 -2 1 -1 1 1 6 1 1 -1] [-1 0 -1 0 1 0 1 0 -1 0 -1 2 1 -1 0 -1 1 1 1 4 0 -1] [-2 -2 2 -1 -1 0 -1 0 -1 -1 -1 -1 0 0 0 2 -1 -1 1 0 6 0] [ 0 1 1 -1 -1 2 -2 -1 1 1 1 -1 -2 1 0 0 -1 -1 -1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 679. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 0 2 -2 1 1 -1 -1 1 0 -1 -2 -1 -1 1 1 -2 1] [ 1 4 0 0 0 0 0 -1 2 -1 -2 0 2 1 0 -2 1 -2 -1 2 -1 2] [-1 0 4 -2 0 0 0 -1 1 -1 -1 0 0 -1 0 1 1 -1 -2 1 -1 -1] [ 2 0 -2 6 1 2 2 1 1 2 -2 -1 2 0 1 -3 -1 1 2 0 1 0] [-1 0 0 1 4 2 -1 2 0 1 -1 1 1 1 2 1 -1 0 0 0 2 0] [ 0 0 0 2 2 4 1 1 0 2 -2 0 1 -1 2 -1 -1 0 0 0 2 0] [ 2 0 0 2 -1 1 4 -2 0 2 -2 -2 0 -1 0 -1 0 0 0 0 0 0] [-2 -1 -1 1 2 1 -2 4 0 0 1 1 0 0 1 1 -1 1 1 -1 2 -1] [ 1 2 1 1 0 0 0 0 4 -1 -2 -1 2 0 -1 -2 0 -2 -1 2 -2 1] [ 1 -1 -1 2 1 2 2 0 -1 4 -1 0 0 0 1 0 -1 0 1 0 2 0] [-1 -2 -1 -2 -1 -2 -2 1 -2 -1 6 0 -3 1 -1 2 -1 2 1 -2 -1 0] [-1 0 0 -1 1 0 -2 1 -1 0 0 4 1 1 1 0 1 0 1 0 1 0] [ 1 2 0 2 1 1 0 0 2 0 -3 1 4 1 1 -2 1 -1 0 1 0 1] [ 0 1 -1 0 1 -1 -1 0 0 0 1 1 1 4 1 0 1 0 1 0 0 1] [-1 0 0 1 2 2 0 1 -1 1 -1 1 1 1 4 1 0 0 1 0 3 0] [-2 -2 1 -3 1 -1 -1 1 -2 0 2 0 -2 0 1 6 -1 0 0 -1 2 -1] [-1 1 1 -1 -1 -1 0 -1 0 -1 -1 1 1 1 0 -1 4 0 -1 0 0 0] [-1 -2 -1 1 0 0 0 1 -2 0 2 0 -1 0 0 0 0 4 1 -2 1 -1] [ 1 -1 -2 2 0 0 0 1 -1 1 1 1 0 1 1 0 -1 1 4 -1 1 0] [ 1 2 1 0 0 0 0 -1 2 0 -2 0 1 0 0 -1 0 -2 -1 4 0 1] [-2 -1 -1 1 2 2 0 2 -2 2 -1 1 0 0 3 2 0 1 1 0 6 -1] [ 1 2 -1 0 0 0 0 -1 1 0 0 0 1 1 0 -1 0 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 680. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 -1 -2 0 0 0 -2 -1 2 0 -1 1 1 -1 2 -1 -1 -2 2 2] [-2 4 -1 2 0 0 1 -1 2 1 -2 0 1 0 -2 -1 -2 2 -1 2 -2 0] [ 1 -1 4 1 -2 1 -1 -1 1 1 -1 -1 -1 1 1 0 2 -2 -1 -1 -1 -1] [-1 2 1 4 -1 0 1 -2 2 1 -2 0 1 1 -1 0 -1 0 -1 2 -2 -1] [-2 0 -2 -1 4 -1 0 1 0 -1 0 1 1 -2 0 0 -1 0 1 1 0 0] [ 0 0 1 0 -1 4 -2 -1 2 0 0 -2 1 0 -1 1 0 0 -1 1 0 -2] [ 0 1 -1 1 0 -2 4 1 0 0 -1 2 0 1 -1 0 -1 1 0 1 -1 2] [ 0 -1 -1 -2 1 -1 1 4 -2 0 0 1 0 -1 0 1 0 1 0 -1 0 2] [-2 2 1 2 0 2 0 -2 6 0 -3 0 0 1 -2 0 -1 0 0 3 -3 -3] [-1 1 1 1 -1 0 0 0 0 4 -2 -1 0 1 0 0 1 1 0 1 -2 0] [ 2 -2 -1 -2 0 0 -1 0 -3 -2 6 -1 -1 0 0 0 1 0 1 -1 3 0] [ 0 0 -1 0 1 -2 2 1 0 -1 -1 4 -1 -1 0 0 -1 0 0 -1 -1 1] [-1 1 -1 1 1 1 0 0 0 0 -1 -1 4 -1 0 0 -1 1 -1 2 1 1] [ 1 0 1 1 -2 0 1 -1 1 1 0 -1 -1 4 -1 0 1 0 0 1 0 0] [ 1 -2 1 -1 0 -1 -1 0 -2 0 0 0 0 -1 4 -1 1 -2 1 -2 1 1] [-1 -1 0 0 0 1 0 1 0 0 0 0 0 0 -1 4 0 0 0 0 0 -1] [ 2 -2 2 -1 -1 0 -1 0 -1 1 1 -1 -1 1 1 0 4 -1 0 -1 1 1] [-1 2 -2 0 0 0 1 1 0 1 0 0 1 0 -2 0 -1 4 0 2 0 1] [-1 -1 -1 -1 1 -1 0 0 0 0 1 0 -1 0 1 0 0 0 4 0 0 -1] [-2 2 -1 2 1 1 1 -1 3 1 -1 -1 2 1 -2 0 -1 2 0 6 -1 -1] [ 2 -2 -1 -2 0 0 -1 0 -3 -2 3 -1 1 0 1 0 1 0 0 -1 6 1] [ 2 0 -1 -1 0 -2 2 2 -3 0 0 1 1 0 1 -1 1 1 -1 -1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 681. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 2 0 -1 -1 -1 -1 0 1 1 -1 -2 -1 0 0 -1 -2 2 1] [ 2 4 2 -1 1 0 -2 -1 -1 1 0 2 1 -1 -2 0 -1 -1 -1 0 1 1] [ 1 2 4 1 2 0 -1 1 1 2 0 1 -1 1 -1 0 -2 1 -2 0 -1 -1] [-1 -1 1 4 1 -1 1 1 1 0 -1 0 -1 2 1 0 -2 2 0 -1 -2 -1] [ 2 1 2 1 4 -1 0 0 0 1 -1 1 0 0 -1 -1 -1 2 -1 -2 1 -1] [ 0 0 0 -1 -1 4 -2 0 1 0 2 -1 0 0 -1 -1 0 -1 1 -1 0 0] [-1 -2 -1 1 0 -2 4 1 -1 0 -1 -1 -1 0 2 0 1 1 0 0 0 -1] [-1 -1 1 1 0 0 1 4 2 2 1 0 -1 1 1 -1 -1 0 -1 0 0 -1] [-1 -1 1 1 0 1 -1 2 6 2 2 -2 -2 2 1 1 0 1 1 1 0 -1] [-1 1 2 0 1 0 0 2 2 6 0 0 -2 1 -1 0 0 1 0 2 0 -2] [ 0 0 0 -1 -1 2 -1 1 2 0 4 -1 -1 -1 0 0 0 -1 0 -1 0 0] [ 1 2 1 0 1 -1 -1 0 -2 0 -1 4 2 0 -1 0 -2 -1 -1 0 0 0] [ 1 1 -1 -1 0 0 -1 -1 -2 -2 -1 2 4 -1 0 -1 0 -1 0 0 2 2] [-1 -1 1 2 0 0 0 1 2 1 -1 0 -1 4 0 1 -1 1 0 1 -1 -1] [-2 -2 -1 1 -1 -1 2 1 1 -1 0 -1 0 0 4 0 0 0 1 1 -1 0] [-1 0 0 0 -1 -1 0 -1 1 0 0 0 -1 1 0 4 1 0 0 2 -1 0] [ 0 -1 -2 -2 -1 0 1 -1 0 0 0 -2 0 -1 0 1 4 0 1 1 2 1] [ 0 -1 1 2 2 -1 1 0 1 1 -1 -1 -1 1 0 0 0 4 0 0 0 -1] [-1 -1 -2 0 -1 1 0 -1 1 0 0 -1 0 0 1 0 1 0 4 0 0 0] [-2 0 0 -1 -2 -1 0 0 1 2 -1 0 0 1 1 2 1 0 0 6 0 0] [ 2 1 -1 -2 1 0 0 0 0 0 0 0 2 -1 -1 -1 2 0 0 0 6 1] [ 1 1 -1 -1 -1 0 -1 -1 -1 -2 0 0 2 -1 0 0 1 -1 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 682. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 2 -2 0 -1 0 0 1 0 0 -1 0 -2 -2 -2 -1 1] [ 1 4 0 0 0 0 1 0 1 0 -1 1 0 -1 0 0 1 -1 1 1 0 -1] [ 2 0 4 -2 0 -1 2 -1 1 -1 1 1 0 0 -1 0 -1 -1 -2 -2 -1 2] [-2 0 -2 4 -1 2 -2 1 -1 1 0 0 0 0 1 1 1 0 2 1 0 -2] [ 1 0 0 -1 4 1 1 -2 -1 1 1 -2 -1 -1 -1 1 -1 -1 -1 1 1 0] [-1 0 -1 2 1 4 -1 -1 -2 2 0 0 0 0 -1 2 -1 0 1 2 0 -1] [ 2 1 2 -2 1 -1 4 -2 1 0 1 0 1 -1 0 -1 0 -1 -2 -1 0 1] [-2 0 -1 1 -2 -1 -2 4 1 0 0 0 0 1 1 0 0 1 2 1 0 -1] [ 0 1 1 -1 -1 -2 1 1 4 -1 0 1 1 -1 0 -1 1 0 0 -1 -1 1] [-1 0 -1 1 1 2 0 0 -1 4 1 -1 0 1 -1 1 -1 1 0 1 1 0] [ 0 -1 1 0 1 0 1 0 0 1 4 -2 -1 -1 1 1 0 0 -1 -1 1 0] [ 0 1 1 0 -2 0 0 0 1 -1 -2 4 1 0 -1 -1 0 0 0 -1 -1 1] [ 1 0 0 0 -1 0 1 0 1 0 -1 1 4 1 0 -1 0 0 0 -1 -1 0] [ 0 -1 0 0 -1 0 -1 1 -1 1 -1 0 1 4 0 0 -1 1 0 0 0 0] [ 0 0 -1 1 -1 -1 0 1 0 -1 1 -1 0 0 4 -1 2 0 1 0 0 -2] [-1 0 0 1 1 2 -1 0 -1 1 1 -1 -1 0 -1 4 0 1 1 2 0 -1] [ 0 1 -1 1 -1 -1 0 0 1 -1 0 0 0 -1 2 0 4 0 1 0 0 -1] [-2 -1 -1 0 -1 0 -1 1 0 1 0 0 0 1 0 1 0 4 1 1 1 0] [-2 1 -2 2 -1 1 -2 2 0 0 -1 0 0 0 1 1 1 1 4 2 0 -2] [-2 1 -2 1 1 2 -1 1 -1 1 -1 -1 -1 0 0 2 0 1 2 6 1 -2] [-1 0 -1 0 1 0 0 0 -1 1 1 -1 -1 0 0 0 0 1 0 1 4 -1] [ 1 -1 2 -2 0 -1 1 -1 1 0 0 1 0 0 -2 -1 -1 0 -2 -2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 683. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 -2 0 -1 -2 0 1 1 -1 -1 -2 -1 2 -2 -2 -2 2] [-2 4 1 -1 2 1 2 1 0 2 1 0 -2 1 1 1 0 -2 0 0 2 0] [ 0 1 4 1 1 2 1 -1 -2 2 0 -1 -2 1 -1 0 0 -1 1 -2 2 -1] [ 1 -1 1 4 -1 1 -1 -1 0 1 -1 -1 1 1 0 -1 1 1 1 -1 1 1] [-2 2 1 -1 4 2 2 -1 0 2 0 0 -2 1 0 0 0 -2 0 0 1 0] [-1 1 2 1 2 4 1 -2 0 1 0 0 -1 2 0 0 0 -1 0 0 2 0] [-2 2 1 -1 2 1 4 1 1 2 0 0 -2 1 0 2 0 -2 0 1 1 0] [ 0 1 -1 -1 -1 -2 1 4 0 0 1 0 0 0 0 1 0 -1 -1 1 -1 1] [-1 0 -2 0 0 0 1 0 4 -1 0 1 1 1 1 1 0 0 -1 1 0 1] [-2 2 2 1 2 1 2 0 -1 6 -1 -2 -2 1 -1 0 2 -1 3 -1 1 -2] [ 0 1 0 -1 0 0 0 1 0 -1 4 2 0 0 -1 1 -2 0 -2 -1 -1 1] [ 1 0 -1 -1 0 0 0 0 1 -2 2 4 1 -1 0 1 -1 1 -2 -1 -1 1] [ 1 -2 -2 1 -2 -1 -2 0 1 -2 0 1 4 0 1 0 0 1 0 1 -1 1] [-1 1 1 1 1 2 1 0 1 1 0 -1 0 4 1 0 0 -2 0 1 1 1] [-1 1 -1 0 0 0 0 0 1 -1 -1 0 1 1 4 0 0 -1 1 2 1 1] [-2 1 0 -1 0 0 2 1 1 0 1 1 0 0 0 4 0 -1 0 1 1 -1] [-1 0 0 1 0 0 0 0 0 2 -2 -1 0 0 0 0 4 0 3 0 2 -2] [ 2 -2 -1 1 -2 -1 -2 -1 0 -1 0 1 1 -2 -1 -1 0 4 0 -1 -1 0] [-2 0 1 1 0 0 0 -1 -1 3 -2 -2 0 0 1 0 3 0 6 0 2 -3] [-2 0 -2 -1 0 0 1 1 1 -1 -1 -1 1 1 2 1 0 -1 0 6 1 0] [-2 2 2 1 1 2 1 -1 0 1 -1 -1 -1 1 1 1 2 -1 2 1 6 -2] [ 2 0 -1 1 0 0 0 1 1 -2 1 1 1 1 1 -1 -2 0 -3 0 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 684. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 2 2 0 0 0 -1 -1 -1 0 0 -2 -2 -1 2 1 1 -1 0] [-2 4 -2 2 -1 0 1 1 1 1 -1 2 0 0 0 2 -1 -2 -2 -2 -1 1] [ 2 -2 4 -2 2 1 1 1 -1 0 1 -2 -1 0 -1 -2 1 2 2 2 0 0] [-2 2 -2 4 -2 -1 0 1 0 1 0 2 -1 -1 2 1 0 -2 -1 -2 -1 1] [ 2 -1 2 -2 4 2 1 1 0 -1 -1 -2 -1 1 -1 -1 -1 2 0 2 0 -1] [ 2 0 1 -1 2 4 0 0 0 0 -2 -1 0 1 -2 0 -1 1 0 1 -1 1] [ 0 1 1 0 1 0 4 2 1 -1 -1 1 0 1 1 -1 0 -1 0 -1 -1 0] [ 0 1 1 1 1 0 2 4 1 1 -1 1 -1 -1 1 -1 0 0 0 -1 -1 0] [ 0 1 -1 0 0 0 1 1 4 -1 -2 2 1 0 -1 0 0 0 0 -2 0 0] [-1 1 0 1 -1 0 -1 1 -1 4 0 1 0 -2 1 0 1 0 0 -1 -1 0] [-1 -1 1 0 -1 -2 -1 -1 -2 0 6 -2 -1 0 0 0 2 0 0 0 1 1] [-1 2 -2 2 -2 -1 1 1 2 1 -2 6 0 -2 0 0 1 -2 -1 -4 -1 1] [ 0 0 -1 -1 -1 0 0 -1 1 0 -1 0 4 0 1 0 0 -1 1 0 0 0] [ 0 0 0 -1 1 1 1 -1 0 -2 0 -2 0 4 -1 1 -1 0 -1 1 1 0] [-2 0 -1 2 -1 -2 1 1 -1 1 0 0 1 -1 6 -1 0 -2 1 0 -1 -1] [-2 2 -2 1 -1 0 -1 -1 0 0 0 0 0 1 -1 4 0 -1 -2 0 1 1] [-1 -1 1 0 -1 -1 0 0 0 1 2 1 0 -1 0 0 4 0 1 -1 1 1] [ 2 -2 2 -2 2 1 -1 0 0 0 0 -2 -1 0 -2 -1 0 4 1 2 1 -1] [ 1 -2 2 -1 0 0 0 0 0 0 0 -1 1 -1 1 -2 1 1 4 1 0 0] [ 1 -2 2 -2 2 1 -1 -1 -2 -1 0 -4 0 1 0 0 -1 2 1 6 2 -1] [-1 -1 0 -1 0 -1 -1 -1 0 -1 1 -1 0 1 -1 1 1 1 0 2 4 -1] [ 0 1 0 1 -1 1 0 0 0 0 1 1 0 0 -1 1 1 -1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 685. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 2 -1 -1 -2 1 0 0 0 1 0 -1 -1 2 1 0 -1 0 0] [ 0 4 -1 1 0 -1 -2 0 2 0 0 0 1 0 2 1 0 2 -2 -2 -1 -2] [ 1 -1 4 0 -1 -1 1 0 1 0 1 0 1 0 -1 1 -1 1 2 2 2 2] [-2 1 0 4 -1 1 0 1 -1 1 0 0 -1 1 0 1 -2 0 -1 1 -1 -1] [ 2 0 -1 -1 4 -1 0 -2 -1 -1 -1 1 -1 -1 0 -1 1 1 0 -2 -2 -1] [-1 -1 -1 1 -1 4 1 1 -2 1 -1 0 0 2 -1 0 -1 -2 0 0 0 -1] [-1 -2 1 0 0 1 4 0 -1 0 0 0 0 0 0 1 -1 -1 2 0 0 0] [-2 0 0 1 -2 1 0 4 1 0 1 1 0 1 1 1 -1 0 0 1 2 0] [ 1 2 1 -1 -1 -2 -1 1 6 -1 2 -1 1 -1 2 1 1 2 0 0 1 1] [ 0 0 0 1 -1 1 0 0 -1 4 -1 -1 1 2 0 -1 1 -1 -1 0 -1 -2] [ 0 0 1 0 -1 -1 0 1 2 -1 4 -1 0 0 0 0 0 0 0 0 1 2] [ 0 0 0 0 1 0 0 1 -1 -1 -1 4 -1 -1 0 1 -1 1 0 -1 0 -1] [ 1 1 1 -1 -1 0 0 0 1 1 0 -1 4 1 1 0 1 1 0 0 2 0] [ 0 0 0 1 -1 2 0 1 -1 2 0 -1 1 4 -1 0 0 -1 -1 0 1 -1] [-1 2 -1 0 0 -1 0 1 2 0 0 0 1 -1 4 0 0 1 0 -1 -1 -1] [-1 1 1 1 -1 0 1 1 1 -1 0 1 0 0 0 4 -1 1 0 0 1 0] [ 2 0 -1 -2 1 -1 -1 -1 1 1 0 -1 1 0 0 -1 4 0 -1 -1 0 0] [ 1 2 1 0 1 -2 -1 0 2 -1 0 1 1 -1 1 1 0 4 0 0 1 0] [ 0 -2 2 -1 0 0 2 0 0 -1 0 0 0 -1 0 0 -1 0 4 1 1 2] [-1 -2 2 1 -2 0 0 1 0 0 0 -1 0 0 -1 0 -1 0 1 6 3 3] [ 0 -1 2 -1 -2 0 0 2 1 -1 1 0 2 1 -1 1 0 1 1 3 6 2] [ 0 -2 2 -1 -1 -1 0 0 1 -2 2 -1 0 -1 -1 0 0 0 2 3 2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 686. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 0 0 1 -1 -2 2 0 0 1 2 1 -1 1 0 2 1 0 -1] [-2 4 2 1 -1 -1 -1 -1 0 -1 0 1 -2 -2 1 0 -1 0 -1 0 1 2] [-2 2 4 -1 -1 0 0 0 2 0 0 0 -2 -2 -1 1 0 1 0 -1 -1 0] [ 0 1 -1 4 0 -2 -2 -2 -1 -2 0 2 0 0 1 1 -2 1 -2 2 1 1] [ 0 -1 -1 0 4 0 1 -1 -1 0 -1 0 1 1 -2 1 -1 0 1 0 0 -1] [ 0 -1 0 -2 0 4 2 0 2 2 1 -2 0 0 0 0 1 -1 0 0 -1 0] [ 1 -1 0 -2 1 2 4 0 1 3 1 -2 1 0 0 -1 1 -1 1 0 0 -1] [-1 -1 0 -2 -1 0 0 6 0 -1 1 -2 0 0 0 -2 2 -2 -1 -3 0 0] [-2 0 2 -1 -1 2 1 0 6 0 0 -1 0 -2 0 1 1 1 -2 1 -2 0] [ 2 -1 0 -2 0 2 3 -1 0 6 1 -2 1 0 0 -1 2 -1 1 1 -1 -2] [ 0 0 0 0 -1 1 1 1 0 1 4 -2 1 -1 1 -1 1 -1 -2 1 0 0] [ 0 1 0 2 0 -2 -2 -2 -1 -2 -2 4 -1 1 0 1 -2 2 0 1 1 1] [ 1 -2 -2 0 1 0 1 0 0 1 1 -1 4 0 0 0 1 -1 0 2 0 -1] [ 2 -2 -2 0 1 0 0 0 -2 0 -1 1 0 4 -1 -1 0 1 1 -1 1 0] [ 1 1 -1 1 -2 0 0 0 0 0 1 0 0 -1 4 -1 0 -1 -1 1 1 1] [-1 0 1 1 1 0 -1 -2 1 -1 -1 1 0 -1 -1 4 -1 1 0 1 -1 0] [ 1 -1 0 -2 -1 1 1 2 1 2 1 -2 1 0 0 -1 4 -1 0 0 -1 0] [ 0 0 1 1 0 -1 -1 -2 1 -1 -1 2 -1 1 -1 1 -1 4 0 1 0 0] [ 2 -1 0 -2 1 0 1 -1 -2 1 -2 0 0 1 -1 0 0 0 6 -2 0 -1] [ 1 0 -1 2 0 0 0 -3 1 1 1 1 2 -1 1 1 0 1 -2 6 0 0] [ 0 1 -1 1 0 -1 0 0 -2 -1 0 1 0 1 1 -1 -1 0 0 0 4 1] [-1 2 0 1 -1 0 -1 0 0 -2 0 1 -1 0 1 0 0 0 -1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 687. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 2 -2 -1 1 2 -2 -2 -2 1 1 1 -2 -1 -1 1 -2 -1 0] [ 1 4 1 -1 0 -1 1 1 2 -1 -1 -1 -1 1 2 1 0 1 0 -1 -1 1] [ 0 1 4 1 1 1 2 1 -1 1 -1 -1 -1 2 0 1 0 2 -1 -1 -2 2] [-2 -1 1 4 -1 2 1 -1 -1 2 1 1 -1 -1 -1 2 1 2 -2 0 1 1] [ 2 0 1 -1 4 0 0 0 1 0 -1 -1 1 1 -1 -2 -1 -1 0 0 -2 1] [-2 -1 1 2 0 4 2 -1 -2 2 0 1 -1 -1 -1 0 0 0 -2 2 1 1] [-1 1 2 1 0 2 4 1 -1 1 0 -1 -2 1 1 0 0 0 -1 1 -1 2] [ 1 1 1 -1 0 -1 1 4 -1 -1 -1 -1 0 2 1 -1 -1 -1 1 -2 0 1] [ 2 2 -1 -1 1 -2 -1 -1 6 -2 0 0 1 -1 1 1 -1 0 1 -1 -1 0] [-2 -1 1 2 0 2 1 -1 -2 4 1 0 0 -1 -1 0 0 0 -2 2 1 1] [-2 -1 -1 1 -1 0 0 -1 0 1 4 2 -1 -1 -1 2 1 1 -1 1 1 0] [-2 -1 -1 1 -1 1 -1 -1 0 0 2 4 0 -1 -1 2 1 1 -1 1 1 0] [ 1 -1 -1 -1 1 -1 -2 0 1 0 -1 0 4 -1 0 -2 -2 -1 1 0 1 0] [ 1 1 2 -1 1 -1 1 2 -1 -1 -1 -1 -1 4 0 0 1 0 1 -1 -3 1] [ 1 2 0 -1 -1 -1 1 1 1 -1 -1 -1 0 0 4 -1 -1 0 0 -1 0 1] [-2 1 1 2 -2 0 0 -1 1 0 2 2 -2 0 -1 6 2 3 -1 0 0 0] [-1 0 0 1 -1 0 0 -1 -1 0 1 1 -2 1 -1 2 4 1 -1 0 -1 -1] [-1 1 2 2 -1 0 0 -1 0 0 1 1 -1 0 0 3 1 6 -1 -1 0 1] [ 1 0 -1 -2 0 -2 -1 1 1 -2 -1 -1 1 1 0 -1 -1 -1 4 -1 -1 -1] [-2 -1 -1 0 0 2 1 -2 -1 2 1 1 0 -1 -1 0 0 -1 -1 6 1 0] [-1 -1 -2 1 -2 1 -1 0 -1 1 1 1 1 -3 0 0 -1 0 -1 1 6 -1] [ 0 1 2 1 1 1 2 1 0 1 0 0 0 1 1 0 -1 1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 688. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 -2 -1 1 1 0 0 -2 0 2 -2 0 2 2 1 0 -1 0] [-2 4 2 -1 1 2 2 1 -2 1 1 2 0 -1 1 0 0 -1 1 1 1 -1] [-2 2 4 -1 2 2 0 -1 -2 -1 0 0 0 -2 2 1 -2 0 -1 1 1 -1] [ 1 -1 -1 4 1 -1 -1 -1 1 1 -1 -2 -1 2 -1 -1 2 2 -1 1 -2 2] [-1 1 2 1 4 1 0 -2 -1 1 0 0 0 -1 1 -1 -1 0 -2 2 -1 1] [-2 2 2 -1 1 4 1 1 -2 -1 0 2 0 -2 2 1 0 0 -1 1 1 -1] [-1 2 0 -1 0 1 4 2 -1 2 0 1 -1 0 0 0 1 -1 2 0 1 -1] [ 1 1 -1 -1 -2 1 2 6 -2 0 1 0 1 0 0 1 2 0 1 -1 1 -1] [ 1 -2 -2 1 -1 -2 -1 -2 4 0 0 -1 -1 2 -1 0 1 0 1 0 0 1] [ 0 1 -1 1 1 -1 2 0 0 4 0 0 -1 1 -1 -2 1 -1 1 1 -1 1] [ 0 1 0 -1 0 0 0 1 0 0 4 2 2 0 1 -1 -1 0 1 0 0 0] [-2 2 0 -2 0 2 1 0 -1 0 2 6 2 -1 1 -1 -2 -2 0 0 0 0] [ 0 0 0 -1 0 0 -1 1 -1 -1 2 2 4 -1 0 0 -2 0 -1 0 0 0] [ 2 -1 -2 2 -1 -2 0 0 2 1 0 -1 -1 4 -1 0 2 1 2 0 -1 1] [-2 1 2 -1 1 2 0 0 -1 -1 1 1 0 -1 4 0 -1 -1 -1 0 0 0] [ 0 0 1 -1 -1 1 0 1 0 -2 -1 -1 0 0 0 4 0 1 1 0 2 -2] [ 2 0 -2 2 -1 0 1 2 1 1 -1 -2 -2 2 -1 0 6 2 2 0 0 0] [ 2 -1 0 2 0 0 -1 0 0 -1 0 -2 0 1 -1 1 2 6 0 0 0 0] [ 1 1 -1 -1 -2 -1 2 1 1 1 1 0 -1 2 -1 1 2 0 6 -1 1 -2] [ 0 1 1 1 2 1 0 -1 0 1 0 0 0 0 0 0 0 0 -1 4 0 0] [-1 1 1 -2 -1 1 1 1 0 -1 0 0 0 -1 0 2 0 0 1 0 4 -2] [ 0 -1 -1 2 1 -1 -1 -1 1 1 0 0 0 1 0 -2 0 0 -2 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 689. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 1 0 -1 1 2 2 1 -1 1 0 1 -1 -1 1 2 -1 0 -1] [-2 4 -1 -1 1 0 0 0 -2 -2 1 1 0 -1 0 0 1 0 -2 0 0 0] [ 1 -1 4 -1 -1 0 1 2 0 0 -1 0 -1 0 1 -1 0 0 1 0 0 1] [ 2 -1 -1 6 3 2 -2 1 2 2 2 1 0 -1 1 -1 0 2 3 -2 -1 -2] [ 1 1 -1 3 6 1 0 1 0 0 1 1 -1 0 1 -1 2 0 2 0 1 -3] [ 0 0 0 2 1 4 1 2 -1 1 -1 0 0 0 -1 1 -1 0 2 0 -1 -1] [-1 0 1 -2 0 1 4 1 -1 0 -2 0 -1 0 0 0 0 -1 1 1 0 0] [ 1 0 2 1 1 2 1 4 -1 1 0 1 -1 0 0 -1 0 0 1 0 0 0] [ 2 -2 0 2 0 -1 -1 -1 4 2 1 0 1 -1 1 -1 -1 1 1 -1 -1 -1] [ 2 -2 0 2 0 1 0 1 2 4 1 0 1 -1 0 -1 -2 1 2 -1 -1 -1] [ 1 1 -1 2 1 -1 -2 0 1 1 4 1 1 -1 1 -1 0 2 0 -2 0 0] [-1 1 0 1 1 0 0 1 0 0 1 4 -2 -1 0 -1 1 0 -1 -1 0 0] [ 1 0 -1 0 -1 0 -1 -1 1 1 1 -2 4 0 0 0 -2 0 0 0 -1 0] [ 0 -1 0 -1 0 0 0 0 -1 -1 -1 -1 0 4 0 1 0 -2 0 2 2 0] [ 1 0 1 1 1 -1 0 0 1 0 1 0 0 0 4 -1 0 0 2 0 1 0] [-1 0 -1 -1 -1 1 0 -1 -1 -1 -1 -1 0 1 -1 4 -1 -1 0 1 1 1] [-1 1 0 0 2 -1 0 0 -1 -2 0 1 -2 0 0 -1 4 0 -1 0 1 0] [ 1 0 0 2 0 0 -1 0 1 1 2 0 0 -2 0 -1 0 4 1 -2 -1 0] [ 2 -2 1 3 2 2 1 1 1 2 0 -1 0 0 2 0 -1 1 6 -1 0 -1] [-1 0 0 -2 0 0 1 0 -1 -1 -2 -1 0 2 0 1 0 -2 -1 4 2 0] [ 0 0 0 -1 1 -1 0 0 -1 -1 0 0 -1 2 1 1 1 -1 0 2 4 0] [-1 0 1 -2 -3 -1 0 0 -1 -1 0 0 0 0 0 1 0 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 690. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 -1 -1 -1 1 -1 -1 -1 -1 1 0 1 -1 2 -2 -1 2 -1 1] [ 1 4 0 1 -2 -2 -2 -1 0 -2 1 1 1 0 0 0 2 1 1 1 0 0] [ 1 0 4 -1 -1 1 1 2 0 1 -1 -1 1 1 -1 0 0 0 0 2 0 2] [ 0 1 -1 4 -1 -1 0 0 1 0 1 1 1 -2 0 0 -1 1 2 1 1 0] [-1 -2 -1 -1 4 0 0 0 -1 0 -1 -1 -1 -1 -1 -1 -1 0 -1 -2 -1 0] [-1 -2 1 -1 0 4 2 1 1 2 0 0 0 1 0 0 -1 0 -1 -1 1 1] [-1 -2 1 0 0 2 4 2 0 2 0 -1 -1 0 0 1 -2 1 0 1 0 1] [ 1 -1 2 0 0 1 2 4 0 1 0 -2 1 0 0 -1 -1 -1 0 2 0 2] [-1 0 0 1 -1 1 0 0 4 0 2 2 1 -1 1 -1 0 1 0 0 1 0] [-1 -2 1 0 0 2 2 1 0 4 -1 0 0 0 0 1 -2 -1 0 1 0 1] [-1 1 -1 1 -1 0 0 0 2 -1 4 2 1 -1 1 0 0 2 1 -1 0 0] [-1 1 -1 1 -1 0 -1 -2 2 0 2 4 0 -1 1 0 0 1 1 -1 0 0] [ 1 1 1 1 -1 0 -1 1 1 0 1 0 4 -1 0 0 1 -1 0 0 1 1] [ 0 0 1 -2 -1 1 0 0 -1 0 -1 -1 -1 4 -1 1 0 0 -1 0 0 0] [ 1 0 -1 0 -1 0 0 0 1 0 1 1 0 -1 4 -1 1 -2 0 0 0 0] [-1 0 0 0 -1 0 1 -1 -1 1 0 0 0 1 -1 4 0 1 0 0 0 0] [ 2 2 0 -1 -1 -1 -2 -1 0 -2 0 0 1 0 1 0 4 -1 -1 0 0 0] [-2 1 0 1 0 0 1 -1 1 -1 2 1 -1 0 -2 1 -1 6 1 0 0 0] [-1 1 0 2 -1 -1 0 0 0 0 1 1 0 -1 0 0 -1 1 4 0 1 0] [ 2 1 2 1 -2 -1 1 2 0 1 -1 -1 0 0 0 0 0 0 0 6 0 1] [-1 0 0 1 -1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 4 -1] [ 1 0 2 0 0 1 1 2 0 1 0 0 1 0 0 0 0 0 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 691. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 2 2 -2 0 -1 -2 2 1 0 0 0 1 0 -1 2 -1 2 -2] [ 2 4 1 1 0 1 -2 -1 -2 0 2 1 1 0 1 2 1 1 1 -1 2 -1] [ 2 1 4 2 2 0 -2 1 0 -2 2 2 1 0 -1 0 1 -1 0 0 2 -1] [ 2 1 2 4 2 1 -2 -1 -1 -2 2 0 0 0 -1 -1 1 0 1 -1 2 -1] [ 2 0 2 2 4 0 -2 1 -1 -1 1 0 1 1 0 -1 1 0 1 0 1 0] [ 2 1 0 1 0 4 -1 -1 -1 -1 0 0 0 -1 -1 0 0 0 1 -1 0 -1] [-2 -2 -2 -2 -2 -1 4 0 2 0 -1 -1 -2 0 0 -1 -2 0 0 0 -1 0] [ 0 -1 1 -1 1 -1 0 4 0 0 0 1 0 1 1 -1 -1 -1 0 1 0 0] [-1 -2 0 -1 -1 -1 2 0 6 -2 1 0 -1 -2 -1 -2 -2 0 -1 2 1 0] [-2 0 -2 -2 -1 -1 0 0 -2 6 -3 0 1 2 1 0 2 1 -2 0 -3 1] [ 2 2 2 2 1 0 -1 0 1 -3 6 0 -1 0 -1 0 0 1 2 1 3 -2] [ 1 1 2 0 0 0 -1 1 0 0 0 4 0 -1 0 1 0 -1 -1 -1 0 -1] [ 0 1 1 0 1 0 -2 0 -1 1 -1 0 4 0 1 0 2 1 -1 1 1 2] [ 0 0 0 0 1 -1 0 1 -2 2 0 -1 0 4 0 0 1 0 0 0 0 0] [ 0 1 -1 -1 0 -1 0 1 -1 1 -1 0 1 0 4 0 -1 0 1 0 0 1] [ 1 2 0 -1 -1 0 -1 -1 -2 0 0 1 0 0 0 6 1 -1 0 -1 0 0] [ 0 1 1 1 1 0 -2 -1 -2 2 0 0 2 1 -1 1 4 1 -1 0 0 1] [-1 1 -1 0 0 0 0 -1 0 1 1 -1 1 0 0 -1 1 4 0 1 1 1] [ 2 1 0 1 1 1 0 0 -1 -2 2 -1 -1 0 1 0 -1 0 4 -1 1 -1] [-1 -1 0 -1 0 -1 0 1 2 0 1 -1 1 0 0 -1 0 1 -1 4 1 1] [ 2 2 2 2 1 0 -1 0 1 -3 3 0 1 0 0 0 0 1 1 1 6 -1] [-2 -1 -1 -1 0 -1 0 0 0 1 -2 -1 2 0 1 0 1 1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 692. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 2 1 -2 -2 -1 -1 -1 -1 -1 1 1 2 -1 1 0 2] [ 1 4 -2 -1 2 -1 2 2 -1 1 1 1 0 -1 -1 1 2 2 -2 2 1 1] [-1 -2 4 0 -2 1 -2 -2 2 -1 -1 -1 1 2 1 -1 0 -1 1 0 -1 0] [ 1 -1 0 4 -1 2 -1 -1 -1 -1 -1 -1 -1 0 -1 0 -2 1 1 1 -1 1] [ 1 2 -2 -1 4 -2 2 2 0 0 0 1 0 0 -1 0 0 2 -2 1 0 1] [ 1 -1 1 2 -2 4 -1 -1 0 0 0 -2 0 0 -1 0 0 -1 1 1 0 1] [ 2 2 -2 -1 2 -1 4 2 -1 -1 1 1 0 -1 0 0 1 2 -1 1 0 1] [ 1 2 -2 -1 2 -1 2 4 0 0 1 0 -1 -2 0 0 2 0 -2 1 0 1] [-2 -1 2 -1 0 0 -1 0 6 2 1 1 0 0 2 0 -1 -2 0 -1 0 0] [-2 1 -1 -1 0 0 -1 0 2 6 2 2 -1 -1 0 1 0 -2 0 0 1 -1] [-1 1 -1 -1 0 0 1 1 1 2 4 2 1 -1 0 1 1 0 -1 0 1 0] [-1 1 -1 -1 1 -2 1 0 1 2 2 4 0 0 1 1 0 1 -1 0 1 0] [-1 0 1 -1 0 0 0 -1 0 -1 1 0 4 2 -1 0 1 0 0 0 1 -1] [-1 -1 2 0 0 0 -1 -2 0 -1 -1 0 2 4 -1 -1 0 0 1 1 -1 0] [-1 -1 1 -1 -1 -1 0 0 2 0 0 1 -1 -1 4 -1 -1 -1 0 -2 0 0] [ 1 1 -1 0 0 0 0 0 0 1 1 1 0 -1 -1 4 1 0 -1 0 2 0] [ 1 2 0 -2 0 0 1 2 -1 0 1 0 1 0 -1 1 6 -1 -2 1 1 0] [ 2 2 -1 1 2 -1 2 0 -2 -2 0 1 0 0 -1 0 -1 6 -1 2 0 2] [-1 -2 1 1 -2 1 -1 -2 0 0 -1 -1 0 1 0 -1 -2 -1 4 -1 -1 -1] [ 1 2 0 1 1 1 1 1 -1 0 0 0 0 1 -2 0 1 2 -1 6 0 2] [ 0 1 -1 -1 0 0 0 0 0 1 1 1 1 -1 0 2 1 0 -1 0 4 -1] [ 2 1 0 1 1 1 1 1 0 -1 0 0 -1 0 0 0 0 2 -1 2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 693. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 -1 -1 1 2 0 1 1 2 1 -1 0 -1 1 1 -1 -1 2 1] [ 1 4 1 -1 1 -2 1 2 1 1 2 2 -1 -2 1 -2 1 1 1 -2 1 2] [ 1 1 4 0 1 -2 0 0 0 -1 -1 1 1 -1 -1 -1 -1 0 0 1 -1 2] [-1 -1 0 4 -1 2 -2 -1 -2 1 -1 -2 -1 0 0 -1 -1 -1 0 0 -2 -2] [-1 1 1 -1 4 -1 0 0 1 0 1 0 0 1 0 0 1 1 0 -1 0 0] [-1 -2 -2 2 -1 6 0 0 0 0 0 0 -1 2 2 1 1 -2 -2 0 -2 -4] [ 1 1 0 -2 0 0 4 2 2 -1 1 3 0 0 1 1 1 -1 0 -1 1 0] [ 2 2 0 -1 0 0 2 4 1 1 2 3 0 0 2 -1 2 1 0 -2 2 0] [ 0 1 0 -2 1 0 2 1 4 0 1 2 1 1 1 0 1 -1 -1 -1 0 1] [ 1 1 -1 1 0 0 -1 1 0 4 2 0 -1 0 0 -2 1 1 -1 -2 1 -1] [ 1 2 -1 -1 1 0 1 2 1 2 4 2 -1 0 1 -1 2 1 -1 -3 2 0] [ 2 2 1 -2 0 0 3 3 2 0 2 6 1 -1 1 0 1 -1 -1 -2 2 1] [ 1 -1 1 -1 0 -1 0 0 1 -1 -1 1 4 1 0 0 -1 0 0 0 0 1] [-1 -2 -1 0 1 2 0 0 1 0 0 -1 1 4 1 1 1 0 -1 0 -1 -2] [ 0 1 -1 0 0 2 1 2 1 0 1 1 0 1 4 -1 1 0 0 -2 -1 -1] [-1 -2 -1 -1 0 1 1 -1 0 -2 -1 0 0 1 -1 4 0 -1 0 2 0 -1] [ 1 1 -1 -1 1 1 1 2 1 1 2 1 -1 1 1 0 4 1 -1 -2 2 0] [ 1 1 0 -1 1 -2 -1 1 -1 1 1 -1 0 0 0 -1 1 4 1 0 2 1] [-1 1 0 0 0 -2 0 0 -1 -1 -1 -1 0 -1 0 0 -1 1 4 0 0 1] [-1 -2 1 0 -1 0 -1 -2 -1 -2 -3 -2 0 0 -2 2 -2 0 0 6 -1 0] [ 2 1 -1 -2 0 -2 1 2 0 1 2 2 0 -1 -1 0 2 2 0 -1 6 1] [ 1 2 2 -2 0 -4 0 0 1 -1 0 1 1 -2 -1 -1 0 1 1 0 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 694. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 -2 -2 -1 -1 2 1 1 0 1 0 2 -2 -1 2 -1 0] [ 2 4 -2 -1 -1 0 -2 -1 0 -1 1 2 0 1 1 0 2 -2 -2 2 -1 0] [-2 -2 4 1 2 -1 2 0 1 1 -1 -2 -1 0 0 0 -2 0 0 -2 1 -1] [ 0 -1 1 4 2 1 1 -1 1 2 -1 -2 1 -1 -1 -1 -1 0 2 -1 -1 1] [-1 -1 2 2 4 1 1 0 2 2 -2 -1 1 0 0 0 -1 0 0 -1 -1 1] [ 1 0 -1 1 1 4 -1 -1 0 1 0 0 1 -1 1 1 1 0 0 1 -2 2] [-2 -2 2 1 1 -1 4 1 1 1 -2 -2 -1 -1 0 0 -2 2 2 -2 1 -1] [-2 -1 0 -1 0 -1 1 4 0 -1 0 0 -1 1 0 -1 -1 1 1 -1 1 0] [-1 0 1 1 2 0 1 0 4 0 -1 0 1 -1 1 -1 0 1 1 -1 -1 1] [-1 -1 1 2 2 1 1 -1 0 4 -2 -1 1 -1 -1 1 -1 1 1 -1 0 1] [ 2 1 -1 -1 -2 0 -2 0 -1 -2 4 1 0 0 1 -1 1 -2 -1 1 0 0] [ 1 2 -2 -2 -1 0 -2 0 0 -1 1 4 0 0 1 0 1 0 -2 1 0 0] [ 1 0 -1 1 1 1 -1 -1 1 1 0 0 4 0 -1 -1 1 0 1 1 -2 2] [ 0 1 0 -1 0 -1 -1 1 -1 -1 0 0 0 4 0 -1 0 -2 -2 1 0 -1] [ 1 1 0 -1 0 1 0 0 1 -1 1 1 -1 0 4 0 1 0 -1 0 0 0] [ 0 0 0 -1 0 1 0 -1 -1 1 -1 0 -1 -1 0 4 1 1 -1 0 0 0] [ 2 2 -2 -1 -1 1 -2 -1 0 -1 1 1 1 0 1 1 4 -1 0 1 -1 1] [-2 -2 0 0 0 0 2 1 1 1 -2 0 0 -2 0 1 -1 6 3 -1 0 0] [-1 -2 0 2 0 0 2 1 1 1 -1 -2 1 -2 -1 -1 0 3 6 -2 0 1] [ 2 2 -2 -1 -1 1 -2 -1 -1 -1 1 1 1 1 0 0 1 -1 -2 4 -1 0] [-1 -1 1 -1 -1 -2 1 1 -1 0 0 0 -2 0 0 0 -1 0 0 -1 4 -2] [ 0 0 -1 1 1 2 -1 0 1 1 0 0 2 -1 0 0 1 0 1 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 695. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 0 0 -1 -1 1 0 -2 1 2 0 0 -1 -2 -1 0 -1 1 -1 2] [-1 4 -2 0 0 1 2 -2 -1 1 1 0 -1 0 1 2 2 -1 1 0 0 -1] [ 1 -2 6 -2 2 -3 -3 3 -1 1 2 1 2 0 1 1 -2 -1 -3 -1 2 3] [ 0 0 -2 4 -2 1 1 -1 0 -2 -1 0 0 1 -1 -1 0 2 1 0 -1 -2] [ 0 0 2 -2 4 -2 -1 0 -1 0 1 0 0 0 2 2 0 -2 -1 0 2 0] [-1 1 -3 1 -2 4 1 -2 0 0 -2 -1 -1 -1 0 0 1 0 2 1 -2 -2] [-1 2 -3 1 -1 1 4 -1 1 1 -1 -1 0 1 0 1 1 1 2 1 -1 -2] [ 1 -2 3 -1 0 -2 -1 4 1 1 0 0 1 1 0 0 -1 0 -2 0 0 2] [ 0 -1 -1 0 -1 0 1 1 4 1 -2 -1 1 1 0 -1 1 1 0 1 -2 1] [-2 1 1 -2 0 0 1 1 1 6 1 -2 1 -1 1 2 0 0 0 -1 -1 1] [ 1 1 2 -1 1 -2 -1 0 -2 1 6 1 1 0 0 1 0 -1 -2 -1 1 2] [ 2 0 1 0 0 -1 -1 0 -1 -2 1 4 -1 -1 -1 -1 -1 0 -1 -1 0 1] [ 0 -1 2 0 0 -1 0 1 1 1 1 -1 4 1 1 0 0 1 -1 1 1 2] [ 0 0 0 1 0 -1 1 1 1 -1 0 -1 1 4 0 1 1 0 -1 1 1 0] [-1 1 1 -1 2 0 0 0 0 1 0 -1 1 0 4 2 1 -2 0 1 0 0] [-2 2 1 -1 2 0 1 0 -1 2 1 -1 0 1 2 6 2 -2 -1 0 1 -1] [-1 2 -2 0 0 1 1 -1 1 0 0 -1 0 1 1 2 4 -1 0 1 0 0] [ 0 -1 -1 2 -2 0 1 0 1 0 -1 0 1 0 -2 -2 -1 4 1 0 0 0] [-1 1 -3 1 -1 2 2 -2 0 0 -2 -1 -1 -1 0 -1 0 1 4 0 -1 -2] [ 1 0 -1 0 0 1 1 0 1 -1 -1 -1 1 1 1 0 1 0 0 4 0 0] [-1 0 2 -1 2 -2 -1 0 -2 -1 1 0 1 1 0 1 0 0 -1 0 6 0] [ 2 -1 3 -2 0 -2 -2 2 1 1 2 1 2 0 0 -1 0 0 -2 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 696. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 0 2 0 -1 1 1 0 1 2 1 2 0 2 -2 -1 0 0 1] [ 1 4 1 -2 0 2 0 1 1 -1 -1 -1 -1 -1 -1 1 0 1 -2 1 -1 2] [ 0 1 4 -2 0 2 0 1 0 -2 -1 -2 -2 0 1 0 -1 0 0 0 -1 0] [-1 -2 -2 4 1 -3 -1 -1 0 0 0 1 2 1 -1 0 1 0 1 0 0 -1] [ 0 0 0 1 4 1 -2 0 2 -1 0 1 0 0 1 -1 2 0 1 1 0 0] [ 2 2 2 -3 1 6 -1 1 2 0 -1 0 0 -1 1 0 0 0 -1 1 -1 1] [ 0 0 0 -1 -2 -1 4 1 -2 1 0 -1 0 1 -1 -1 -1 0 -1 -1 0 -1] [-1 1 1 -1 0 1 1 4 -1 -1 0 -1 -1 0 0 1 -1 0 -1 1 0 0] [ 1 1 0 0 2 2 -2 -1 4 -1 -1 1 0 -1 0 0 1 0 1 0 -1 1] [ 1 -1 -2 0 -1 0 1 -1 -1 4 1 1 1 1 0 0 0 0 0 -1 1 -1] [ 0 -1 -1 0 0 -1 0 0 -1 1 4 0 -1 1 0 0 1 0 1 1 1 -1] [ 1 -1 -2 1 1 0 -1 -1 1 1 0 4 1 -1 1 0 1 -1 0 -1 0 0] [ 2 -1 -2 2 0 0 0 -1 0 1 -1 1 6 1 1 -1 2 -1 -1 1 1 1] [ 1 -1 0 1 0 -1 1 0 -1 1 1 -1 1 4 0 0 1 -1 0 0 1 -1] [ 2 -1 1 -1 1 1 -1 0 0 0 0 1 1 0 6 -1 1 -3 1 0 1 1] [ 0 1 0 0 -1 0 -1 1 0 0 0 0 -1 0 -1 4 0 0 -1 0 0 1] [ 2 0 -1 1 2 0 -1 -1 1 0 1 1 2 1 1 0 4 -1 0 1 1 1] [-2 1 0 0 0 0 0 0 0 0 0 -1 -1 -1 -3 0 -1 4 0 1 0 0] [-1 -2 0 1 1 -1 -1 -1 1 0 1 0 -1 0 1 -1 0 0 4 -1 0 -1] [ 0 1 0 0 1 1 -1 1 0 -1 1 -1 1 0 0 0 1 1 -1 4 1 1] [ 0 -1 -1 0 0 -1 0 0 -1 1 1 0 1 1 1 0 1 0 0 1 4 0] [ 1 2 0 -1 0 1 -1 0 1 -1 -1 0 1 -1 1 1 1 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 697. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 2 2 -1 0 1 -1 1 1 -2 0 -1 1 -1 0 -1 1 0] [ 0 4 -1 -1 1 1 1 2 0 1 1 1 -1 -2 0 0 -1 0 1 -1 1 2] [ 1 -1 4 0 0 -1 -1 0 -1 1 1 1 0 1 0 0 0 -2 1 -1 1 0] [ 2 -1 0 4 -2 0 2 -1 -1 -1 -2 -1 2 -2 -1 0 0 0 -1 0 -1 0] [-2 1 0 -2 4 -2 -2 2 -1 -1 2 -1 0 1 1 0 -1 0 1 0 -1 1] [ 2 1 -1 0 -2 4 2 -1 2 2 -1 2 0 -2 0 -1 1 0 0 0 2 0] [ 2 1 -1 2 -2 2 4 -1 1 0 -1 0 1 -3 0 -1 0 0 -1 0 0 1] [-1 2 0 -1 2 -1 -1 4 -2 1 1 1 0 -1 -1 0 -2 0 2 0 1 2] [ 0 0 -1 -1 -1 2 1 -2 6 2 0 2 0 0 0 1 0 -1 -1 2 2 0] [ 1 1 1 -1 -1 2 0 1 2 6 -1 3 0 -2 -2 -1 -1 -2 2 1 3 1] [-1 1 1 -2 2 -1 -1 1 0 -1 4 1 -1 2 1 0 -1 -1 0 0 1 0] [ 1 1 1 -1 -1 2 0 1 2 3 1 6 0 -1 -2 1 -1 -1 0 1 3 1] [ 1 -1 0 2 0 0 1 0 0 0 -1 0 4 -2 -1 -1 -1 0 -1 1 0 1] [-2 -2 1 -2 1 -2 -3 -1 0 -2 2 -1 -2 6 2 1 1 0 0 0 -1 -2] [ 0 0 0 -1 1 0 0 -1 0 -2 1 -2 -1 2 4 -1 1 0 0 -1 -1 0] [-1 0 0 0 0 -1 -1 0 1 -1 0 1 -1 1 -1 4 0 0 0 0 0 0] [ 1 -1 0 0 -1 1 0 -2 0 -1 -1 -1 -1 1 1 0 4 0 0 -1 -1 -2] [-1 0 -2 0 0 0 0 0 -1 -2 -1 -1 0 0 0 0 0 4 -1 0 -1 0] [ 0 1 1 -1 1 0 -1 2 -1 2 0 0 -1 0 0 0 0 -1 4 -1 1 1] [-1 -1 -1 0 0 0 0 0 2 1 0 1 1 0 -1 0 -1 0 -1 4 1 0] [ 1 1 1 -1 -1 2 0 1 2 3 1 3 0 -1 -1 0 -1 -1 1 1 6 0] [ 0 2 0 0 1 0 1 2 0 1 0 1 1 -2 0 0 -2 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 698. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 1 -1 0 -1 1 0 -1 1 1 -1 2 1 1 -1 0 -1 1 0] [ 1 4 -2 1 1 -2 1 -1 0 0 0 0 2 0 2 0 2 -2 1 0 0 0] [-2 -2 4 -1 -1 1 0 1 -1 -1 0 0 -2 1 -1 0 -1 2 -1 0 0 1] [ 1 1 -1 4 2 -2 -1 -2 0 1 1 0 -1 1 0 -1 0 -2 -1 1 1 1] [ 1 1 -1 2 4 0 -1 -1 -1 0 -1 -1 1 1 -1 0 -1 -2 -1 -1 0 1] [-1 -2 1 -2 0 4 0 2 0 -1 -1 0 1 -1 -2 1 -1 1 -1 -1 -1 -1] [ 0 1 0 -1 -1 0 4 -1 1 -1 1 -1 0 -1 2 -1 2 1 1 1 -1 1] [-1 -1 1 -2 -1 2 -1 4 0 0 -1 0 0 0 -2 2 -1 1 -1 -1 -1 -1] [ 1 0 -1 0 -1 0 1 0 4 1 1 0 1 -1 0 1 0 0 1 1 1 0] [ 0 0 -1 1 0 -1 -1 0 1 4 0 -1 0 1 -1 0 0 0 1 0 1 0] [-1 0 0 1 -1 -1 1 -1 1 0 4 -1 -1 -1 1 -1 0 0 0 2 0 1] [ 1 0 0 0 -1 0 -1 0 0 -1 -1 4 1 -1 0 0 1 0 0 -1 0 -2] [ 1 2 -2 -1 1 1 0 0 1 0 -1 1 6 -2 1 1 1 -2 2 -1 0 -1] [-1 0 1 1 1 -1 -1 0 -1 1 -1 -1 -2 4 -2 0 -1 0 -1 0 1 1] [ 2 2 -1 0 -1 -2 2 -2 0 -1 1 0 1 -2 6 -1 2 -1 2 1 0 1] [ 1 0 0 -1 0 1 -1 2 1 0 -1 0 1 0 -1 4 0 0 -1 -1 1 0] [ 1 2 -1 0 -1 -1 2 -1 0 0 0 1 1 -1 2 0 4 0 1 0 0 0] [-1 -2 2 -2 -2 1 1 1 0 0 0 0 -2 0 -1 0 0 4 0 0 0 0] [ 0 1 -1 -1 -1 -1 1 -1 1 1 0 0 2 -1 2 -1 1 0 4 0 0 0] [-1 0 0 1 -1 -1 1 -1 1 0 2 -1 -1 0 1 -1 0 0 0 4 1 1] [ 1 0 0 1 0 -1 -1 -1 1 1 0 0 0 1 0 1 0 0 0 1 4 0] [ 0 0 1 1 1 -1 1 -1 0 0 1 -2 -1 1 1 0 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 699. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 -1 2 1 2 1 1 -1 -1 -2 -1 -1 -2 0 -1 -2 1 1 1] [ 0 4 0 1 0 0 -1 1 -2 -1 -1 1 0 0 -2 0 2 0 -1 0 0 0] [ 1 0 4 -2 -1 1 2 1 2 2 -1 1 0 1 0 0 -1 0 -2 0 2 -1] [-1 1 -2 4 0 -1 -2 -1 -2 0 1 -1 1 0 0 1 1 0 0 0 0 -1] [-1 0 -1 0 4 0 0 0 0 0 1 0 1 0 -1 1 -1 -1 2 1 0 0] [ 2 0 1 -1 0 4 0 0 1 2 -1 0 0 -1 0 0 1 -2 -2 2 1 0] [ 1 -1 2 -2 0 0 4 2 2 0 0 0 -1 0 1 -1 -2 0 0 0 0 0] [ 2 1 1 -1 0 0 2 4 1 0 0 0 -2 0 -1 -2 -1 0 0 0 0 0] [ 1 -2 2 -2 0 1 2 1 4 1 0 0 -1 1 1 0 -2 0 -1 0 1 0] [ 1 -1 2 0 0 2 0 0 1 6 -1 1 1 -1 0 0 0 0 0 0 2 -2] [-1 -1 -1 1 1 -1 0 0 0 -1 4 -2 0 0 0 1 -1 -1 0 0 0 0] [-1 1 1 -1 0 0 0 0 0 1 -2 4 1 1 0 0 0 1 1 -1 0 -1] [-2 0 0 1 1 0 -1 -2 -1 1 0 1 4 0 0 1 0 -1 1 1 0 -2] [-1 0 1 0 0 -1 0 0 1 -1 0 1 0 4 1 1 -1 0 0 0 1 0] [-1 -2 0 0 -1 0 1 -1 1 0 0 0 0 1 4 0 -1 0 1 0 -1 0] [-2 0 0 1 1 0 -1 -2 0 0 1 0 1 1 0 4 1 0 -1 0 1 0] [ 0 2 -1 1 -1 1 -2 -1 -2 0 -1 0 0 -1 -1 1 4 0 -1 0 0 1] [-1 0 0 0 -1 -2 0 0 0 0 -1 1 -1 0 0 0 0 4 1 -2 0 0] [-2 -1 -2 0 2 -2 0 0 -1 0 0 1 1 0 1 -1 -1 1 6 -1 -2 0] [ 1 0 0 0 1 2 0 0 0 0 0 -1 1 0 0 0 0 -2 -1 4 1 0] [ 1 0 2 0 0 1 0 0 1 2 0 0 0 1 -1 1 0 0 -2 1 4 -1] [ 1 0 -1 -1 0 0 0 0 0 -2 0 -1 -2 0 0 0 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 700. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 2 1 0 0 0 1 1 1 -2 0 1 -1 -1 0 1 2 -1 0] [ 2 4 -1 -2 1 0 0 0 -1 1 0 1 -2 1 0 0 0 -1 -1 2 1 1] [ 0 -1 4 0 -1 2 0 0 2 -1 2 -1 -1 1 1 1 -2 2 -1 -2 1 1] [-1 -2 0 6 -1 -2 1 2 1 1 -2 1 3 0 1 1 -1 2 3 1 -2 -2] [ 2 1 -1 -1 6 -2 -1 1 1 2 -2 2 -3 1 -2 0 2 0 1 2 -2 0] [ 1 0 2 -2 -2 6 -1 -2 -1 -1 4 -2 0 -1 1 -1 -2 0 0 -2 0 2] [ 0 0 0 1 -1 -1 4 2 -1 0 1 1 2 0 2 -1 0 1 -1 0 1 0] [ 0 0 0 2 1 -2 2 4 1 0 -1 2 1 0 1 1 0 2 1 0 -1 0] [ 0 -1 2 1 1 -1 -1 1 4 0 -1 0 -1 1 0 2 -1 2 1 0 0 0] [ 1 1 -1 1 2 -1 0 0 0 4 -2 2 -1 1 0 0 1 0 1 2 0 0] [ 1 0 2 -2 -2 4 1 -1 -1 -2 6 -1 0 0 1 -1 -2 0 -2 -1 1 2] [ 1 1 -1 1 2 -2 1 2 0 2 -1 4 -1 0 0 0 1 0 0 1 -1 0] [-2 -2 -1 3 -3 0 2 1 -1 -1 0 -1 6 -2 1 -1 0 1 1 -1 -1 -1] [ 0 1 1 0 1 -1 0 0 1 1 0 0 -2 4 0 1 0 1 -1 2 1 0] [ 1 0 1 1 -2 1 2 1 0 0 1 0 1 0 4 -1 -2 1 1 0 0 0] [-1 0 1 1 0 -1 -1 1 2 0 -1 0 -1 1 -1 4 0 1 0 0 1 1] [-1 0 -2 -1 2 -2 0 0 -1 1 -2 1 0 0 -2 0 4 -1 -1 0 0 0] [ 0 -1 2 2 0 0 1 2 2 0 0 0 1 1 1 1 -1 4 1 0 0 0] [ 1 -1 -1 3 1 0 -1 1 1 1 -2 0 1 -1 1 0 -1 1 6 1 -3 -1] [ 2 2 -2 1 2 -2 0 0 0 2 -1 1 -1 2 0 0 0 0 1 6 0 -1] [-1 1 1 -2 -2 0 1 -1 0 0 1 -1 -1 1 0 1 0 0 -3 0 6 1] [ 0 1 1 -2 0 2 0 0 0 0 2 0 -1 0 0 1 0 0 -1 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 701. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 2 -1 1 0 -1 -1 0 -1 0 -2 0 -1 1 1 -1 -1 -1 0] [-1 6 -3 1 1 -2 2 -1 -1 0 -1 2 0 -2 1 1 1 2 1 2 -2 -2] [ 2 -3 6 -2 1 1 -1 2 -1 0 2 -1 0 1 1 1 -2 -1 -2 -1 1 1] [ 0 1 -2 4 0 0 2 -2 0 -1 -2 0 0 0 1 0 1 2 1 0 1 1] [ 2 1 1 0 4 0 0 -1 0 -1 0 1 1 -1 1 0 0 2 -1 1 -2 0] [-1 -2 1 0 0 4 -1 -1 0 -1 0 -1 1 3 1 1 -1 0 0 -1 0 2] [ 1 2 -1 2 0 -1 4 -1 -2 0 -1 0 -1 -1 1 0 1 2 0 0 0 0] [ 0 -1 2 -2 -1 -1 -1 4 -1 2 1 0 -1 0 0 0 0 -2 -1 0 1 0] [-1 -1 -1 0 0 0 -2 -1 4 0 0 1 0 1 -1 0 -1 -1 1 1 1 0] [-1 0 0 -1 -1 -1 0 2 0 4 1 1 -2 1 0 0 0 -1 -1 1 0 0] [ 0 -1 2 -2 0 0 -1 1 0 1 4 1 0 0 -1 1 -2 -1 -2 -1 0 0] [-1 2 -1 0 1 -1 0 0 1 1 1 4 -1 -1 1 0 0 1 0 2 -1 -1] [ 0 0 0 0 1 1 -1 -1 0 -2 0 -1 4 -1 0 0 0 0 1 -1 0 1] [-2 -2 1 0 -1 3 -1 0 1 1 0 -1 -1 6 0 2 -2 -1 -1 0 2 2] [ 0 1 1 1 1 1 1 0 -1 0 -1 1 0 0 4 0 0 1 1 1 -1 1] [-1 1 1 0 0 1 0 0 0 0 1 0 0 2 0 4 -1 0 -1 0 1 1] [ 1 1 -2 1 0 -1 1 0 -1 0 -2 0 0 -2 0 -1 4 1 1 0 -1 0] [ 1 2 -1 2 2 0 2 -2 -1 -1 -1 1 0 -1 1 0 1 4 0 1 -1 0] [-1 1 -2 1 -1 0 0 -1 1 -1 -2 0 1 -1 1 -1 1 0 4 0 0 0] [-1 2 -1 0 1 -1 0 0 1 1 -1 2 -1 0 1 0 0 1 0 4 0 -1] [-1 -2 1 1 -2 0 0 1 1 0 0 -1 0 2 -1 1 -1 -1 0 0 6 1] [ 0 -2 1 1 0 2 0 0 0 0 0 -1 1 2 1 1 0 0 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 702. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 -2 1 2 -1 1 1 -2 0 -2 0 1 1 0 1 1 1 1 -1] [ 2 4 -2 -1 -2 2 2 -2 -1 -1 -2 -1 -2 1 0 -1 0 2 1 -1 -1 -1] [-2 -2 4 2 1 -2 -2 1 1 -1 2 -1 2 0 1 1 1 0 -2 1 -1 2] [-1 -1 2 4 2 -1 -1 2 2 1 1 1 1 0 -1 -1 2 0 -1 2 1 1] [-2 -2 1 2 4 -1 -1 2 1 1 1 1 1 -1 -1 -1 1 -1 -1 0 1 0] [ 1 2 -2 -1 -1 4 1 0 -1 0 -1 0 -1 1 -1 -2 0 0 1 0 0 0] [ 2 2 -2 -1 -1 1 4 -1 0 1 -1 1 -1 0 0 1 -1 0 0 -1 1 -1] [-1 -2 1 2 2 0 -1 6 0 3 1 1 1 -2 -1 0 0 0 -1 3 3 1] [ 1 -1 1 2 1 -1 0 0 6 0 1 0 0 1 0 2 3 0 -2 1 0 0] [ 1 -1 -1 1 1 0 1 3 0 6 -1 2 -1 -1 -2 0 0 0 1 3 3 -1] [-2 -2 2 1 1 -1 -1 1 1 -1 4 0 1 -1 0 1 0 -1 -2 -1 -1 1] [ 0 -1 -1 1 1 0 1 1 0 2 0 4 1 0 -1 0 -1 -2 1 1 2 -1] [-2 -2 2 1 1 -1 -1 1 0 -1 1 1 4 0 1 0 0 -1 -1 1 1 2] [ 0 1 0 0 -1 1 0 -2 1 -1 -1 0 0 4 -1 0 1 0 0 0 -1 0] [ 1 0 1 -1 -1 -1 0 -1 0 -2 0 -1 1 -1 4 1 -1 0 0 0 -1 1] [ 1 -1 1 -1 -1 -2 1 0 2 0 1 0 0 0 1 6 0 0 -2 0 0 0] [ 0 0 1 2 1 0 -1 0 3 0 0 -1 0 1 -1 0 4 1 -1 1 0 1] [ 1 2 0 0 -1 0 0 0 0 0 -1 -2 -1 0 0 0 1 4 0 1 0 0] [ 1 1 -2 -1 -1 1 0 -1 -2 1 -2 1 -1 0 0 -2 -1 0 4 0 0 -1] [ 1 -1 1 2 0 0 -1 3 1 3 -1 1 1 0 0 0 1 1 0 6 3 1] [ 1 -1 -1 1 1 0 1 3 0 3 -1 2 1 -1 -1 0 0 0 0 3 6 0] [-1 -1 2 1 0 0 -1 1 0 -1 1 -1 2 0 1 0 1 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 703. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -1 1 1 2 1 -2 -2 2 1 1 1 -1 1 -1 -2 1 1 0 0] [ 1 4 -1 1 1 0 0 2 -2 -2 2 1 -1 1 1 -1 -1 -2 0 2 1 -1] [ 0 -1 4 -2 -2 -1 1 1 1 0 -2 1 1 -2 -1 1 0 2 1 0 1 -1] [-1 1 -2 4 0 -1 -2 -1 1 0 0 -1 -2 1 2 -2 -1 -1 -2 0 1 1] [ 1 1 -2 0 4 0 0 -1 -2 -1 3 0 -1 0 -1 -1 1 -2 0 0 0 -1] [ 1 0 -1 -1 0 4 2 0 0 -1 0 -1 1 0 -1 1 0 0 1 0 -2 0] [ 2 0 1 -2 0 2 4 0 0 -2 0 1 2 0 -2 2 0 0 2 0 -1 0] [ 1 2 1 -1 -1 0 0 4 -1 -1 1 1 0 1 0 1 -1 -1 0 2 0 -1] [-2 -2 1 1 -2 0 0 -1 6 2 -3 0 0 -2 -1 0 -1 3 0 -1 1 1] [-2 -2 0 0 -1 -1 -2 -1 2 6 -3 0 0 -2 1 0 -1 1 0 -2 -1 1] [ 2 2 -2 0 3 0 0 1 -3 -3 6 1 -1 3 0 0 1 -3 0 1 0 0] [ 1 1 1 -1 0 -1 1 1 0 0 1 4 0 1 0 0 -1 0 2 1 0 0] [ 1 -1 1 -2 -1 1 2 0 0 0 -1 0 4 -1 -1 2 0 0 1 0 0 1] [ 1 1 -2 1 0 0 0 1 -2 -2 3 1 -1 6 1 0 0 -2 0 1 -1 1] [-1 1 -1 2 -1 -1 -2 0 -1 1 0 0 -1 1 4 -1 -1 -1 -1 0 0 1] [ 1 -1 1 -2 -1 1 2 1 0 0 0 0 2 0 -1 4 0 0 1 0 -1 1] [-1 -1 0 -1 1 0 0 -1 -1 -1 1 -1 0 0 -1 0 4 1 -1 -1 -1 -1] [-2 -2 2 -1 -2 0 0 -1 3 1 -3 0 0 -2 -1 0 1 6 1 0 1 -1] [ 1 0 1 -2 0 1 2 0 0 0 0 2 1 0 -1 1 -1 1 4 0 0 0] [ 1 2 0 0 0 0 0 2 -1 -2 1 1 0 1 0 0 -1 0 0 4 2 -1] [ 0 1 1 1 0 -2 -1 0 1 -1 0 0 0 -1 0 -1 -1 1 0 2 6 -1] [ 0 -1 -1 1 -1 0 0 -1 1 1 0 0 1 1 1 1 -1 -1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 704. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 1 2 2 -1 -1 1 0 1 1 0 -1 -2 -1 -2 1 -2 1 0] [-2 4 1 2 1 0 -2 1 0 -1 0 -1 -1 1 1 0 0 2 0 2 1 -1] [ 0 1 4 2 2 1 0 1 -1 -2 0 1 1 -1 2 -1 -1 0 2 1 -1 1] [-1 2 2 4 2 0 -1 2 0 -2 0 1 1 -1 2 0 0 1 0 1 -1 1] [ 1 1 2 2 4 2 1 0 0 0 -1 1 1 0 2 -2 0 -1 1 0 1 1] [ 2 0 1 0 2 4 2 -1 -1 1 0 0 1 1 1 -2 -1 -2 1 0 1 1] [ 2 -2 0 -1 1 2 4 -2 0 2 -1 1 1 0 0 -1 -1 -2 1 -1 0 1] [-1 1 1 2 0 -1 -2 4 -1 -3 1 0 1 0 0 0 0 1 0 0 -2 0] [-1 0 -1 0 0 -1 0 -1 4 0 0 0 0 -1 0 1 2 0 -2 1 1 0] [ 1 -1 -2 -2 0 1 2 -3 0 6 0 -1 -1 0 0 1 0 -1 -1 -1 3 1] [ 0 0 0 0 -1 0 -1 1 0 0 4 -1 0 0 0 1 -1 1 -1 0 1 0] [ 1 -1 1 1 1 0 1 0 0 -1 -1 4 0 -1 1 -1 1 0 1 -1 -2 1] [ 1 -1 1 1 1 1 1 1 0 -1 0 0 4 0 0 -1 0 -1 1 -1 -1 1] [ 0 1 -1 -1 0 1 0 0 -1 0 0 -1 0 4 -1 -1 0 0 1 0 1 -1] [-1 1 2 2 2 1 0 0 0 0 0 1 0 -1 4 0 0 0 0 1 0 2] [-2 0 -1 0 -2 -2 -1 0 1 1 1 -1 -1 -1 0 4 1 1 -2 1 0 1] [-1 0 -1 0 0 -1 -1 0 2 0 -1 1 0 0 0 1 4 0 -1 0 0 1] [-2 2 0 1 -1 -2 -2 1 0 -1 1 0 -1 0 0 1 0 4 0 1 0 -1] [ 1 0 2 0 1 1 1 0 -2 -1 -1 1 1 1 0 -2 -1 0 4 -1 -1 0] [-2 2 1 1 0 0 -1 0 1 -1 0 -1 -1 0 1 1 0 1 -1 4 1 0] [ 1 1 -1 -1 1 1 0 -2 1 3 1 -2 -1 1 0 0 0 0 -1 1 6 -1] [ 0 -1 1 1 1 1 1 0 0 1 0 1 1 -1 2 1 1 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 705. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 2 -1 1 -1 0 1 0 -1 -2 -1 -2 -1 -1 -1 1 1 2 -1] [ 1 4 0 -2 2 -2 2 0 1 2 0 0 0 -1 0 -1 0 -2 -1 2 2 -2] [ 2 0 4 -1 1 0 0 0 -1 1 -1 -1 -1 -1 0 1 -2 0 0 1 0 1] [-2 -2 -1 4 -2 1 -2 1 -1 -2 1 1 1 1 0 1 1 2 0 -2 -1 1] [ 2 2 1 -2 4 0 2 -1 0 2 0 0 -1 0 -1 -1 0 -2 1 2 2 -2] [-1 -2 0 1 0 4 0 1 -1 -1 -1 0 0 1 1 1 1 0 1 -1 0 1] [ 1 2 0 -2 2 0 4 -1 0 1 -1 -1 0 -1 -1 -1 0 -2 0 1 1 -2] [-1 0 0 1 -1 1 -1 4 -1 0 1 1 0 -1 2 0 0 1 -1 0 1 0] [ 0 1 -1 -1 0 -1 0 -1 4 1 -1 -1 1 0 -1 1 1 0 -1 1 0 1] [ 1 2 1 -2 2 -1 1 0 1 4 -1 0 -1 0 1 0 -1 -1 -1 2 2 0] [ 0 0 -1 1 0 -1 -1 1 -1 -1 4 2 0 -1 -1 -2 1 1 0 -1 0 -1] [-1 0 -1 1 0 0 -1 1 -1 0 2 4 1 1 0 -1 0 0 -1 0 1 0] [-2 0 -1 1 -1 0 0 0 1 -1 0 1 4 0 -1 1 0 0 -2 0 -2 0] [-1 -1 -1 1 0 1 -1 -1 0 0 -1 1 0 4 0 0 1 -1 1 0 0 0] [-2 0 0 0 -1 1 -1 2 -1 1 -1 0 -1 0 6 1 -1 0 -1 0 1 2] [-1 -1 1 1 -1 1 -1 0 1 0 -2 -1 1 0 1 4 0 1 -1 0 -1 3] [-1 0 -2 1 0 1 0 0 1 -1 1 0 0 1 -1 0 4 0 1 -1 0 0] [-1 -2 0 2 -2 0 -2 1 0 -1 1 0 0 -1 0 1 0 4 0 -1 -1 2] [ 1 -1 0 0 1 1 0 -1 -1 -1 0 -1 -2 1 -1 -1 1 0 4 -1 0 -1] [ 1 2 1 -2 2 -1 1 0 1 2 -1 0 0 0 0 0 -1 -1 -1 4 2 -1] [ 2 2 0 -1 2 0 1 1 0 2 0 1 -2 0 1 -1 0 -1 0 2 6 -1] [-1 -2 1 1 -2 1 -2 0 1 0 -1 0 0 0 2 3 0 2 -1 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 706. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 2 -1 2 -1 -2 0 0 2 -1 0 1 0 2 1 1 -2 0 -1] [-2 4 2 2 0 -1 -2 1 2 1 1 -1 0 -1 0 -1 -1 -2 -2 2 1 1] [-2 2 4 2 -2 1 -1 0 2 0 -1 -2 0 0 -1 -1 -2 -2 -2 2 0 2] [-1 2 2 4 -1 -1 0 1 1 1 -1 0 1 -1 0 0 -2 -2 -1 1 1 2] [ 2 0 -2 -1 4 -2 1 -1 -1 1 2 1 0 0 1 0 2 0 0 -1 0 -1] [-1 -1 1 -1 -2 4 -1 -1 0 0 0 -2 0 0 0 -1 0 0 1 0 0 0] [ 2 -2 -1 0 1 -1 4 0 -1 -1 0 2 0 1 1 0 0 1 0 -1 -1 0] [-1 1 0 1 -1 -1 0 4 1 -1 -1 1 1 -1 1 1 -2 0 0 1 1 0] [-2 2 2 1 -1 0 -1 1 4 -1 0 -2 1 -1 -1 0 -2 -1 -2 2 0 1] [ 0 1 0 1 1 0 -1 -1 -1 4 1 -1 0 0 1 -1 1 -1 0 -1 0 1] [ 0 1 -1 -1 2 0 0 -1 0 1 6 1 -1 -1 1 0 1 1 -1 0 1 -1] [ 2 -1 -2 0 1 -2 2 1 -2 -1 1 6 0 -1 1 1 1 2 1 -2 1 -2] [-1 0 0 1 0 0 0 1 1 0 -1 0 4 0 0 1 -1 -1 0 0 1 0] [ 0 -1 0 -1 0 0 1 -1 -1 0 -1 -1 0 4 -1 -1 0 0 0 0 -2 1] [ 1 0 -1 0 1 0 1 1 -1 1 1 1 0 -1 4 0 1 1 0 -1 1 0] [ 0 -1 -1 0 0 -1 0 1 0 -1 0 1 1 -1 0 4 0 1 0 0 1 0] [ 2 -1 -2 -2 2 0 0 -2 -2 1 1 1 -1 0 1 0 4 1 1 -2 0 -1] [ 1 -2 -2 -2 0 0 1 0 -1 -1 1 2 -1 0 1 1 1 4 1 -1 0 -1] [ 1 -2 -2 -1 0 1 0 0 -2 0 -1 1 0 0 0 0 1 1 4 -2 0 -1] [-2 2 2 1 -1 0 -1 1 2 -1 0 -2 0 0 -1 0 -2 -1 -2 4 1 1] [ 0 1 0 1 0 0 -1 1 0 0 1 1 1 -2 1 1 0 0 0 1 4 -1] [-1 1 2 2 -1 0 0 0 1 1 -1 -2 0 1 0 0 -1 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 707. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 1 2 1 0 2 1 1 -1 2 1 1 -1 -1 -1 0 -2 1 0 0] [ 2 4 -1 2 2 0 -1 1 1 2 -1 1 0 1 -1 -1 1 0 -2 2 0 0] [-1 -1 4 -2 0 -1 -1 -1 -2 1 -1 -2 -1 1 -1 1 0 1 1 1 0 -1] [ 1 2 -2 4 0 0 0 0 2 0 -1 1 0 0 0 0 0 0 -2 0 0 1] [ 2 2 0 0 4 1 0 0 0 2 -1 1 1 0 0 -1 -1 0 -1 2 0 0] [ 1 0 -1 0 1 4 -1 0 0 0 0 2 1 0 0 -1 -2 1 0 0 0 -1] [ 0 -1 -1 0 0 -1 4 0 1 -1 0 -1 0 -1 0 -1 0 0 1 -1 1 2] [ 2 1 -1 0 0 0 0 4 1 0 0 2 1 0 -1 0 0 0 -1 0 1 0] [ 1 1 -2 2 0 0 1 1 4 -1 1 1 1 -1 0 -1 0 1 -1 -1 1 1] [ 1 2 1 0 2 0 -1 0 -1 4 -2 0 0 0 0 0 0 0 -1 2 -1 0] [-1 -1 -1 -1 -1 0 0 0 1 -2 4 0 1 -1 0 -1 1 0 1 -2 1 -1] [ 2 1 -2 1 1 2 -1 2 1 0 0 6 3 -1 0 1 0 1 -2 0 1 1] [ 1 0 -1 0 1 1 0 1 1 0 1 3 4 -2 1 0 0 0 0 0 1 1] [ 1 1 1 0 0 0 -1 0 -1 0 -1 -1 -2 4 -2 0 0 0 -1 1 0 -1] [-1 -1 -1 0 0 0 0 -1 0 0 0 0 1 -2 4 0 -1 -2 1 0 -2 1] [-1 -1 1 0 -1 -1 -1 0 -1 0 -1 1 0 0 0 4 1 0 -1 0 0 1] [-1 1 0 0 -1 -2 0 0 0 0 1 0 0 0 -1 1 4 0 0 0 1 1] [ 0 0 1 0 0 1 0 0 1 0 0 1 0 0 -2 0 0 4 0 0 2 0] [-2 -2 1 -2 -1 0 1 -1 -1 -1 1 -2 0 -1 1 -1 0 0 4 -1 0 0] [ 1 2 1 0 2 0 -1 0 -1 2 -2 0 0 1 0 0 0 0 -1 4 0 0] [ 0 0 0 0 0 0 1 1 1 -1 1 1 1 0 -2 0 1 2 0 0 4 0] [ 0 0 -1 1 0 -1 2 0 1 0 -1 1 1 -1 1 1 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 708. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 -1 -1 1 2 0 0 -1 -1 -2 1 -2 -1 -1 -1 -1 1 -2 1] [ 1 4 -2 -1 -2 -2 2 0 1 0 -1 1 0 1 -1 -1 -1 -2 1 2 1 1] [-2 -2 4 1 2 2 -1 -2 0 1 1 -1 1 -1 2 0 0 1 1 -1 1 0] [ 1 -1 1 4 0 0 -1 0 1 1 -1 -1 -2 1 -1 0 1 -1 -1 0 -1 0] [-1 -2 2 0 4 1 -1 0 -1 0 1 0 0 -1 2 1 0 2 0 -2 1 1] [-1 -2 2 0 1 4 0 -1 -1 1 0 0 0 0 0 -1 1 1 -1 -1 1 0] [ 1 2 -1 -1 -1 0 4 1 0 -1 -1 1 -1 1 -2 -2 0 -1 1 1 0 1] [ 2 0 -2 0 0 -1 1 4 0 -1 0 0 -2 0 -2 0 0 0 -1 0 -1 0] [ 0 1 0 1 -1 -1 0 0 4 0 -1 -1 1 1 0 0 1 0 1 1 1 -1] [ 0 0 1 1 0 1 -1 -1 0 4 -1 -1 1 -1 -1 0 0 0 -1 1 1 0] [-1 -1 1 -1 1 0 -1 0 -1 -1 4 0 0 -2 1 0 -2 0 1 0 -1 -1] [-1 1 -1 -1 0 0 1 0 -1 -1 0 4 0 0 -1 -1 1 0 0 0 0 1] [-2 0 1 -2 0 0 -1 -2 1 1 0 0 6 -1 1 1 0 2 1 1 1 0] [ 1 1 -1 1 -1 0 1 0 1 -1 -2 0 -1 4 -1 0 1 -1 -1 0 1 1] [-2 -1 2 -1 2 0 -2 -2 0 -1 1 -1 1 -1 6 1 -1 1 2 -2 1 0] [-1 -1 0 0 1 -1 -2 0 0 0 0 -1 1 0 1 4 1 1 -1 -1 1 0] [-1 -1 0 1 0 1 0 0 1 0 -2 1 0 1 -1 1 4 1 -1 -1 1 0] [-1 -2 1 -1 2 1 -1 0 0 0 0 0 2 -1 1 1 1 4 0 -1 1 0] [-1 1 1 -1 0 -1 1 -1 1 -1 1 0 1 -1 2 -1 -1 0 4 0 0 0] [ 1 2 -1 0 -2 -1 1 0 1 1 0 0 1 0 -2 -1 -1 -1 0 4 0 0] [-2 1 1 -1 1 1 0 -1 1 1 -1 0 1 1 1 1 1 1 0 0 6 0] [ 1 1 0 0 1 0 1 0 -1 0 -1 1 0 1 0 0 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 709. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 0 1 -2 -1 -2 0 -1 0 -1 0 -1 0 -1 0 0 1 1 2 0] [ 2 4 2 -1 0 -2 -1 -2 1 -1 1 -1 1 -2 -1 1 0 1 1 1 1 1] [ 2 2 4 -1 0 -1 -2 0 1 0 -1 -1 0 -1 1 -1 -1 0 1 1 1 1] [ 0 -1 -1 4 -1 1 2 1 -2 0 0 2 1 1 0 -2 1 0 -1 0 0 -2] [ 1 0 0 -1 4 0 0 0 1 0 0 0 0 -1 0 1 -1 0 0 1 0 1] [-2 -2 -1 1 0 4 2 2 -1 0 0 1 -1 2 1 0 1 0 0 0 -2 0] [-1 -1 -2 2 0 2 4 1 -2 0 0 2 1 1 -1 0 2 0 0 0 -1 0] [-2 -2 0 1 0 2 1 4 0 1 -1 1 0 1 1 -1 0 0 -1 0 -1 0] [ 0 1 1 -2 1 -1 -2 0 4 1 0 -1 -1 -1 0 1 -1 1 -1 1 1 1] [-1 -1 0 0 0 0 0 1 1 4 -2 1 1 1 -1 -1 -1 -1 -2 -1 0 1] [ 0 1 -1 0 0 0 0 -1 0 -2 4 0 0 0 -1 1 1 2 1 0 0 0] [-1 -1 -1 2 0 1 2 1 -1 1 0 4 1 0 -1 -1 0 1 -1 -1 0 0] [ 0 1 0 1 0 -1 1 0 -1 1 0 1 4 0 -1 0 0 -1 0 0 0 1] [-1 -2 -1 1 -1 2 1 1 -1 1 0 0 0 4 1 -1 1 -1 0 0 -1 0] [ 0 -1 1 0 0 1 -1 1 0 -1 -1 -1 -1 1 4 -1 0 -1 1 1 -1 0] [-1 1 -1 -2 1 0 0 -1 1 -1 1 -1 0 -1 -1 4 0 0 0 0 -1 1] [ 0 0 -1 1 -1 1 2 0 -1 -1 1 0 0 1 0 0 4 1 0 1 -1 0] [ 0 1 0 0 0 0 0 0 1 -1 2 1 -1 -1 -1 0 1 4 0 1 1 0] [ 1 1 1 -1 0 0 0 -1 -1 -2 1 -1 0 0 1 0 0 0 4 0 0 1] [ 1 1 1 0 1 0 0 0 1 -1 0 -1 0 0 1 0 1 1 0 4 1 0] [ 2 1 1 0 0 -2 -1 -1 1 0 0 0 0 -1 -1 -1 -1 1 0 1 4 -1] [ 0 1 1 -2 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 710. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 1 0 1 -2 -1 1 1 -1 -2 -1 1 0 0 -1 1 0 -1 0 0] [ 0 4 2 -1 0 1 1 2 2 1 1 2 2 1 1 -1 0 2 1 -2 0 1] [-2 2 6 -2 1 -1 2 1 0 -2 0 4 2 0 0 1 2 0 -1 0 2 -1] [ 1 -1 -2 4 -1 0 0 0 0 1 0 -1 0 0 1 -1 0 0 1 0 -2 0] [ 0 0 1 -1 4 -1 0 0 1 0 0 -1 0 0 0 -1 2 -1 -1 1 2 -2] [ 1 1 -1 0 -1 4 -1 1 0 1 1 -1 1 2 -1 0 0 1 1 -1 -2 1] [-2 1 2 0 0 -1 4 2 1 -1 0 2 1 -1 0 0 0 1 1 -1 1 0] [-1 2 1 0 0 1 2 4 2 1 0 1 2 1 0 0 0 2 2 -2 -1 0] [ 1 2 0 0 1 0 1 2 4 1 0 0 1 1 0 -1 0 2 1 -2 1 0] [ 1 1 -2 1 0 1 -1 1 1 4 1 -2 0 0 0 -1 -1 1 2 -1 -2 1] [-1 1 0 0 0 1 0 0 0 1 4 -1 1 1 1 -1 1 0 1 0 0 0] [-2 2 4 -1 -1 -1 2 1 0 -2 -1 6 2 -1 0 1 0 0 -1 0 1 0] [-1 2 2 0 0 1 1 2 1 0 1 2 4 1 0 0 1 0 0 -1 0 0] [ 1 1 0 0 0 2 -1 1 1 0 1 -1 1 4 0 0 1 1 0 -1 0 0] [ 0 1 0 1 0 -1 0 0 0 0 1 0 0 0 4 -2 0 0 1 0 -1 0] [ 0 -1 1 -1 -1 0 0 0 -1 -1 -1 1 0 0 -2 4 0 0 -1 0 1 0] [-1 0 2 0 2 0 0 0 0 -1 1 0 1 1 0 0 4 -1 -1 1 1 -1] [ 1 2 0 0 -1 1 1 2 2 1 0 0 0 1 0 0 -1 4 2 -2 0 1] [ 0 1 -1 1 -1 1 1 2 1 2 1 -1 0 0 1 -1 -1 2 4 -2 -2 1] [-1 -2 0 0 1 -1 -1 -2 -2 -1 0 0 -1 -1 0 0 1 -2 -2 4 1 -1] [ 0 0 2 -2 2 -2 1 -1 1 -2 0 1 0 0 -1 1 1 0 -2 1 6 -2] [ 0 1 -1 0 -2 1 0 0 0 1 0 0 0 0 0 0 -1 1 1 -1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 711. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 2 -1 0 -2 0 -1 1 -1 -1 1 2 1 1 1 -2 1 0] [-2 4 -2 -1 -1 -1 1 1 2 1 0 1 1 0 -2 -1 0 1 0 2 -2 -1] [ 2 -2 4 0 0 1 -1 -1 -2 0 0 -1 0 0 1 1 1 0 1 -2 1 0] [ 1 -1 0 4 0 2 0 1 0 -2 0 1 -2 -1 -1 -1 1 1 -1 0 2 0] [ 1 -1 0 0 4 -1 1 -1 -1 0 -2 1 1 -1 2 2 -1 -1 1 -1 2 2] [ 2 -1 1 2 -1 6 -1 0 -1 -2 1 0 0 1 0 0 0 0 1 -1 0 -2] [-1 1 -1 0 1 -1 4 0 1 -1 -2 1 2 -1 0 -1 0 1 1 1 0 1] [ 0 1 -1 1 -1 0 0 4 0 -1 1 0 0 -1 -2 0 2 1 -2 0 1 0] [-2 2 -2 0 -1 -1 1 0 4 1 0 1 -1 1 -1 -2 0 1 -1 2 -2 -1] [ 0 1 0 -2 0 -2 -1 -1 1 4 0 1 0 1 0 1 0 0 0 1 -2 -1] [-1 0 0 0 -2 1 -2 1 0 0 4 -2 0 1 -1 0 0 -1 -1 0 -1 -1] [ 1 1 -1 1 1 0 1 0 1 1 -2 4 0 0 0 0 1 2 0 1 0 0] [-1 1 0 -2 1 0 2 0 -1 0 0 0 6 0 1 1 -1 -1 1 0 0 1] [-1 0 0 -1 -1 1 -1 -1 1 1 1 0 0 4 1 -1 0 -1 0 1 -2 -2] [ 1 -2 1 -1 2 0 0 -2 -1 0 -1 0 1 1 4 1 -1 -1 1 -1 0 1] [ 2 -1 1 -1 2 0 -1 0 -2 1 0 0 1 -1 1 4 0 -1 1 -2 1 1] [ 1 0 1 1 -1 0 0 2 0 0 0 1 -1 0 -1 0 4 2 -1 0 1 0] [ 1 1 0 1 -1 0 1 1 1 0 -1 2 -1 -1 -1 -1 2 4 0 1 0 0] [ 1 0 1 -1 1 1 1 -2 -1 0 -1 0 1 0 1 1 -1 0 4 -1 -1 0] [-2 2 -2 0 -1 -1 1 0 2 1 0 1 0 1 -1 -2 0 1 -1 4 -1 -1] [ 1 -2 1 2 2 0 0 1 -2 -2 -1 0 0 -2 0 1 1 0 -1 -1 6 2] [ 0 -1 0 0 2 -2 1 0 -1 -1 -1 0 1 -2 1 1 0 0 0 -1 2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 712. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 2 0 0 1 1 0 1 0 0 1 -1 -1 1 1 -1 1 0 -2] [ 2 4 0 0 2 -1 0 1 0 0 0 0 0 1 -1 0 2 2 -2 0 1 -1] [ 2 0 4 0 1 1 -1 1 1 0 0 -1 1 1 -1 -2 0 -1 -1 0 0 -2] [ 2 0 0 4 0 0 1 0 1 0 2 1 -1 0 0 0 0 0 1 2 -1 -1] [ 2 2 1 0 4 1 0 1 -1 0 0 -1 1 0 0 0 0 0 -1 0 0 -1] [ 0 -1 1 0 1 4 -1 0 -1 1 -1 -2 1 0 -1 0 -1 -2 1 -1 -1 -1] [ 0 0 -1 1 0 -1 4 1 0 1 1 1 -2 -1 0 2 -1 0 1 1 1 1] [ 1 1 1 0 1 0 1 4 1 1 -1 1 1 -1 0 1 1 0 -1 -1 0 0] [ 1 0 1 1 -1 -1 0 1 4 -1 0 1 0 1 0 -1 2 1 0 0 -1 0] [ 0 0 0 0 0 1 1 1 -1 4 -1 -1 0 0 -1 1 0 0 1 -1 1 0] [ 1 0 0 2 0 -1 1 -1 0 -1 4 0 -1 -1 1 0 -1 0 0 2 0 0] [ 0 0 -1 1 -1 -2 1 1 1 -1 0 4 0 -1 0 0 1 1 0 0 -1 0] [ 0 0 1 -1 1 1 -2 1 0 0 -1 0 4 -1 1 -1 1 -1 0 -1 -1 0] [ 1 1 1 0 0 0 -1 -1 1 0 -1 -1 -1 4 -2 -1 1 1 -1 0 1 -1] [-1 -1 -1 0 0 -1 0 0 0 -1 1 0 1 -2 4 0 -1 -1 1 1 -1 2] [-1 0 -2 0 0 0 2 1 -1 1 0 0 -1 -1 0 4 0 0 0 0 1 2] [ 1 2 0 0 0 -1 -1 1 2 0 -1 1 1 1 -1 0 4 2 -1 -1 0 0] [ 1 2 -1 0 0 -2 0 0 1 0 0 1 -1 1 -1 0 2 4 -1 0 1 0] [-1 -2 -1 1 -1 1 1 -1 0 1 0 0 0 -1 1 0 -1 -1 4 0 -1 1] [ 1 0 0 2 0 -1 1 -1 0 -1 2 0 -1 0 1 0 -1 0 0 4 1 0] [ 0 1 0 -1 0 -1 1 0 -1 1 0 -1 -1 1 -1 1 0 1 -1 1 4 0] [-2 -1 -2 -1 -1 -1 1 0 0 0 0 0 0 -1 2 2 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 713. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 -2 1 -2 0 1 1 0 0 -1 1 1 -2 1 -2 1 1 -1 -1 1] [-1 4 1 -1 0 -1 1 0 -2 1 -1 1 1 -2 2 -2 1 -1 0 1 0 0] [-1 1 6 1 -3 -2 -1 2 -1 -1 1 1 1 -1 -1 -1 0 1 0 -1 1 -3] [-2 -1 1 6 1 3 -2 0 -1 -2 2 2 -2 -1 -2 -1 0 0 -2 0 0 1] [ 1 0 -3 1 6 0 1 0 -1 1 -1 -1 -2 -1 -1 -1 0 -1 1 1 -2 3] [-2 -1 -2 3 0 6 0 -1 0 -2 1 0 -1 1 1 0 0 0 -2 0 1 2] [ 0 1 -1 -2 1 0 4 1 0 2 -2 -1 0 -1 1 0 0 -1 1 1 1 1] [ 1 0 2 0 0 -1 1 4 -1 0 -1 -1 0 -1 -1 -1 0 1 1 -1 1 -1] [ 1 -2 -1 -1 -1 0 0 -1 4 -1 0 -1 0 1 0 1 -2 1 1 -1 1 1] [ 0 1 -1 -2 1 -2 2 0 -1 4 -2 0 0 -1 1 0 1 -1 1 1 -1 0] [ 0 -1 1 2 -1 1 -2 -1 0 -2 4 1 1 1 -2 1 0 1 -1 -1 0 0] [-1 1 1 2 -1 0 -1 -1 -1 0 1 4 0 -1 -1 0 0 -1 -2 1 0 0] [ 1 1 1 -2 -2 -1 0 0 0 0 1 0 4 1 0 0 0 0 1 0 0 -1] [ 1 -2 -1 -1 -1 1 -1 -1 1 -1 1 -1 1 4 0 2 -1 1 0 -1 0 -1] [-2 2 -1 -2 -1 1 1 -1 0 1 -2 -1 0 0 6 -1 1 -1 0 0 1 0] [ 1 -2 -1 -1 -1 0 0 -1 1 0 1 0 0 2 -1 4 0 0 -1 0 0 0] [-2 1 0 0 0 0 0 0 -2 1 0 0 0 -1 1 0 4 -1 0 1 0 -1] [ 1 -1 1 0 -1 0 -1 1 1 -1 1 -1 0 1 -1 0 -1 4 1 -2 1 0] [ 1 0 0 -2 1 -2 1 1 1 1 -1 -2 1 0 0 -1 0 1 4 -1 0 0] [-1 1 -1 0 1 0 1 -1 -1 1 -1 1 0 -1 0 0 1 -2 -1 4 0 0] [-1 0 1 0 -2 1 1 1 1 -1 0 0 0 0 1 0 0 1 0 0 4 -1] [ 1 0 -3 1 3 2 1 -1 1 0 0 0 -1 -1 0 0 -1 0 0 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 714. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 1 2 2 -1 0 -1 2 2 -1 1 -1 -1 -1 1 -1 0 1 -1 1] [-1 4 -1 0 1 0 -1 0 -1 0 -2 0 1 -1 1 -1 0 -1 1 1 2 1] [-1 -1 6 2 -3 -1 1 1 0 -1 2 -1 -1 -1 2 0 0 1 2 -1 -2 -3] [ 1 0 2 6 2 2 1 1 -2 2 3 -3 -1 -2 2 -2 -1 0 1 0 1 -2] [ 2 1 -3 2 6 1 0 -1 -1 1 0 -1 0 -2 0 -1 1 -2 -1 2 3 0] [ 2 0 -1 2 1 4 -1 0 -1 2 2 -1 1 0 0 -1 -1 0 0 0 -1 0] [-1 -1 1 1 0 -1 4 -1 0 0 1 1 -1 0 1 0 1 1 0 -1 1 -2] [ 0 0 1 1 -1 0 -1 4 1 1 -1 -2 1 1 0 1 -1 0 0 0 -1 1] [-1 -1 0 -2 -1 -1 0 1 4 -2 -2 0 0 1 0 1 -1 1 0 -1 0 1] [ 2 0 -1 2 1 2 0 1 -2 4 1 -1 1 0 0 -1 0 0 0 0 -1 1] [ 2 -2 2 3 0 2 1 -1 -2 1 6 -1 0 -1 0 -1 1 1 1 -1 -1 -2] [-1 0 -1 -3 -1 -1 1 -2 0 -1 -1 4 0 1 -1 1 1 0 -1 0 0 0] [ 1 1 -1 -1 0 1 -1 1 0 1 0 0 4 1 -1 0 1 -1 1 1 -1 1] [-1 -1 -1 -2 -2 0 0 1 1 0 -1 1 1 4 -1 2 -1 1 -1 -1 -1 0] [-1 1 2 2 0 0 1 0 0 0 0 -1 -1 -1 4 -1 -1 0 1 -1 1 -1] [-1 -1 0 -2 -1 -1 0 1 1 -1 -1 1 0 2 -1 4 1 0 -2 0 -1 0] [ 1 0 0 -1 1 -1 1 -1 -1 0 1 1 1 -1 -1 1 4 -1 0 1 0 0] [-1 -1 1 0 -2 0 1 0 1 0 1 0 -1 1 0 0 -1 4 1 -2 0 0] [ 0 1 2 1 -1 0 0 0 0 0 1 -1 1 -1 1 -2 0 1 4 -1 0 0] [ 1 1 -1 0 2 0 -1 0 -1 0 -1 0 1 -1 -1 0 1 -2 -1 4 1 0] [-1 2 -2 1 3 -1 1 -1 0 -1 -1 0 -1 -1 1 -1 0 0 0 1 6 0] [ 1 1 -3 -2 0 0 -2 1 1 1 -2 0 1 0 -1 0 0 0 0 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 715. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 1 2 -2 -1 1 -2 -2 2 -2 -1 -2 1 0 -1 0 1 -2 1] [ 1 4 2 2 0 -1 -2 -1 0 -2 -2 -1 1 -1 -1 -1 1 -2 -1 2 -2 -1] [ 1 2 4 1 1 0 -1 -2 1 -1 -1 1 -1 -2 0 1 -1 -2 -1 2 -1 0] [ 1 2 1 4 0 -1 -1 -2 0 -2 -2 1 0 -2 -1 -1 1 -2 1 2 0 0] [ 1 0 1 0 4 2 -2 1 2 -1 0 2 0 1 0 1 -2 0 1 0 -1 -1] [ 2 -1 0 -1 2 6 0 -1 0 -1 0 3 -2 2 -1 2 -1 0 0 0 0 0] [-2 -2 -1 -1 -2 0 6 -2 0 1 0 -2 1 0 2 1 -1 1 -1 -1 1 2] [-1 -1 -2 -2 1 -1 -2 6 0 2 1 0 2 2 1 0 0 2 1 -2 -1 -2] [ 1 0 1 0 2 0 0 0 4 0 -1 0 0 -1 0 1 -2 0 1 0 -1 1] [-2 -2 -1 -2 -1 -1 1 2 0 4 2 -1 0 1 1 0 0 1 0 -1 2 0] [-2 -2 -1 -2 0 0 0 1 -1 2 4 0 0 2 1 0 0 1 0 -1 2 -1] [ 2 -1 1 1 2 3 -2 0 0 -1 0 6 -2 -1 -1 1 -1 -1 2 1 1 0] [-2 1 -1 0 0 -2 1 2 0 0 0 -2 6 0 2 -1 1 1 0 -1 -2 -1] [-1 -1 -2 -2 1 2 0 2 -1 1 2 -1 0 6 0 0 0 2 0 -2 0 -2] [-2 -1 0 -1 0 -1 2 1 0 1 1 -1 2 0 4 1 -1 0 -1 -1 0 0] [ 1 -1 1 -1 1 2 1 0 1 0 0 1 -1 0 1 4 -1 0 -1 0 -1 1] [ 0 1 -1 1 -2 -1 -1 0 -2 0 0 -1 1 0 -1 -1 4 0 0 0 0 0] [-1 -2 -2 -2 0 0 1 2 0 1 1 -1 1 2 0 0 0 4 1 -2 0 0] [ 0 -1 -1 1 1 0 -1 1 1 0 0 2 0 0 -1 -1 0 1 4 -1 1 0] [ 1 2 2 2 0 0 -1 -2 0 -1 -1 1 -1 -2 -1 0 0 -2 -1 4 1 0] [-2 -2 -1 0 -1 0 1 -1 -1 2 2 1 -2 0 0 -1 0 0 1 1 6 0] [ 1 -1 0 0 -1 0 2 -2 1 0 -1 0 -1 -2 0 1 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 716. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 2 0 0 -1 -1 1 2 -1 -2 -1 -1 -2 1 -1 -1 1 0] [ 1 4 -2 0 -2 1 0 0 0 1 1 0 0 -1 -1 0 -1 -1 0 1 1 1] [-1 -2 4 0 1 -1 0 1 -1 -1 -1 0 0 1 2 -1 2 0 -1 0 -2 0] [ 1 0 0 4 -2 1 -1 -1 1 -1 -1 1 1 1 1 0 -2 1 -1 -1 -1 -1] [-2 -2 1 -2 6 0 -1 1 0 -1 1 0 1 0 0 -1 3 0 1 0 0 1] [ 2 1 -1 1 0 4 0 1 -1 -2 0 2 0 -1 -1 0 -2 1 -1 -1 0 0] [ 0 0 0 -1 -1 0 4 -1 0 0 -1 1 0 -1 -1 2 -1 0 -1 0 0 1] [ 0 0 1 -1 1 1 -1 4 -2 -1 1 0 0 1 1 0 0 -1 -1 1 -1 -1] [-1 0 -1 1 0 -1 0 -2 4 0 -1 0 0 1 0 1 1 1 0 -1 1 0] [-1 1 -1 -1 -1 -2 0 -1 0 4 1 -1 0 0 -1 0 1 -1 1 1 0 1] [ 1 1 -1 -1 1 0 -1 1 -1 1 4 0 1 -1 -1 -1 1 0 1 0 1 1] [ 2 0 0 1 0 2 1 0 0 -1 0 4 0 -1 -1 0 -1 1 -2 -1 0 1] [-1 0 0 1 1 0 0 0 0 0 1 0 4 1 0 0 0 -1 1 1 -1 0] [-2 -1 1 1 0 -1 -1 1 1 0 -1 -1 1 4 2 1 0 0 0 0 -1 -2] [-1 -1 2 1 0 -1 -1 1 0 -1 -1 -1 0 2 4 0 0 -1 -1 0 -1 -1] [-1 0 -1 0 -1 0 2 0 1 0 -1 0 0 1 0 4 -1 0 -1 0 0 0] [-2 -1 2 -2 3 -2 -1 0 1 1 1 -1 0 0 0 -1 6 0 1 0 0 2] [ 1 -1 0 1 0 1 0 -1 1 -1 0 1 -1 0 -1 0 0 4 0 -2 1 0] [-1 0 -1 -1 1 -1 -1 -1 0 1 1 -2 1 0 -1 -1 1 0 4 0 1 0] [-1 1 0 -1 0 -1 0 1 -1 1 0 -1 1 0 0 0 0 -2 0 4 0 0] [ 1 1 -2 -1 0 0 0 -1 1 0 1 0 -1 -1 -1 0 0 1 1 0 4 0] [ 0 1 0 -1 1 0 1 -1 0 1 1 1 0 -2 -1 0 2 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 717. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 1 0 0 0 1 0 -1 0 -1 1 0 0 -2 1 1 1 0 -2] [ 1 4 -1 -2 0 -1 -1 1 0 0 -1 -1 1 2 1 -1 0 0 0 2 0 1] [ 2 -1 4 -1 0 1 1 -1 0 0 1 1 -1 -1 -1 1 -1 0 0 -1 -1 -1] [-1 -2 -1 4 1 1 1 -1 -1 -1 0 -1 -1 0 0 1 -1 -1 0 0 0 -1] [ 1 0 0 1 4 0 1 0 -1 0 -1 1 -1 1 1 0 -1 -1 2 1 0 -1] [ 0 -1 1 1 0 4 2 -2 -1 0 2 1 -1 -1 -1 1 -1 0 -1 -1 1 -1] [ 0 -1 1 1 1 2 4 -2 -1 1 1 0 -1 -1 -1 2 -1 -1 1 -1 0 -1] [ 0 1 -1 -1 0 -2 -2 4 0 1 -2 1 2 1 0 0 1 1 1 1 -1 1] [ 1 0 0 -1 -1 -1 -1 0 4 -1 -1 0 -1 0 1 0 0 2 0 0 0 -1] [ 0 0 0 -1 0 0 1 1 -1 4 -1 1 2 0 -2 0 0 1 1 0 0 0] [-1 -1 1 0 -1 2 1 -2 -1 -1 4 0 -1 -2 0 0 1 -1 -1 -2 1 1] [ 0 -1 1 -1 1 1 0 1 0 1 0 4 0 -1 0 0 0 1 1 -1 0 0] [-1 1 -1 -1 -1 -1 -1 2 -1 2 -1 0 4 0 -1 -1 1 1 0 0 -1 1] [ 1 2 -1 0 1 -1 -1 1 0 0 -2 -1 0 4 1 0 0 0 0 2 0 0] [ 0 1 -1 0 1 -1 -1 0 1 -2 0 0 -1 1 4 0 0 -1 1 1 1 1] [ 0 -1 1 1 0 1 2 0 0 0 0 0 -1 0 0 4 -1 -1 1 0 0 0] [-2 0 -1 -1 -1 -1 -1 1 0 0 1 0 1 0 0 -1 4 0 -1 -1 0 2] [ 1 0 0 -1 -1 0 -1 1 2 1 -1 1 1 0 -1 -1 0 4 0 0 0 -1] [ 1 0 0 0 2 -1 1 1 0 1 -1 1 0 0 1 1 -1 0 4 0 0 0] [ 1 2 -1 0 1 -1 -1 1 0 0 -2 -1 0 2 1 0 -1 0 0 4 1 0] [ 0 0 -1 0 0 1 0 -1 0 0 1 0 -1 0 1 0 0 0 0 1 4 0] [-2 1 -1 -1 -1 -1 -1 1 -1 0 1 0 1 0 1 0 2 -1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 718. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 0 -2 1 0 -2 -2 -2 2 2 -2 2 -1 0 0 2 2 -2 -1 -2] [ 1 4 1 -1 1 0 1 -2 -2 -1 2 0 -2 1 1 0 0 0 2 0 0 -1] [-2 1 6 0 1 -2 1 0 1 1 -1 -3 1 -2 -1 2 -2 -2 -2 2 2 3] [ 0 -1 0 4 -2 -1 -2 2 1 0 1 0 1 -1 0 1 0 1 -2 -1 0 2] [-2 1 1 -2 6 -1 0 1 1 1 -2 0 1 -2 2 0 -1 -2 -1 2 2 0] [ 1 0 -2 -1 -1 4 0 0 -1 0 0 1 -1 2 0 -2 0 2 3 -2 -2 -1] [ 0 1 1 -2 0 0 4 -1 -1 1 1 -1 0 1 0 1 -1 -1 1 1 0 -1] [-2 -2 0 2 1 0 -1 6 1 3 0 -1 2 -2 1 0 0 0 -1 0 0 3] [-2 -2 1 1 1 -1 -1 1 4 1 -3 -1 2 -2 0 1 -1 -1 -3 1 1 2] [-2 -1 1 0 1 0 1 3 1 4 0 -2 1 -1 1 1 -1 -1 0 1 0 2] [ 2 2 -1 1 -2 0 1 0 -3 0 6 0 -1 1 1 1 1 1 2 -1 -2 0] [ 2 0 -3 0 0 1 -1 -1 -1 -2 0 4 -1 1 0 -1 1 1 1 -1 0 -2] [-2 -2 1 1 1 -1 0 2 2 1 -1 -1 4 -2 0 1 -1 -1 -3 1 1 2] [ 2 1 -2 -1 -2 2 1 -2 -2 -1 1 1 -2 4 0 -1 0 2 3 -2 -1 -3] [-1 1 -1 0 2 0 0 1 0 1 1 0 0 0 4 0 0 -1 0 0 0 0] [ 0 0 2 1 0 -2 1 0 1 1 1 -1 1 -1 0 4 -1 -1 -2 1 1 2] [ 0 0 -2 0 -1 0 -1 0 -1 -1 1 1 -1 0 0 -1 4 0 1 0 -1 0] [ 2 0 -2 1 -2 2 -1 0 -1 -1 1 1 -1 2 -1 -1 0 4 2 -2 -1 -1] [ 2 2 -2 -2 -1 3 1 -1 -3 0 2 1 -3 3 0 -2 1 2 6 -2 -2 -2] [-2 0 2 -1 2 -2 1 0 1 1 -1 -1 1 -2 0 1 0 -2 -2 4 2 1] [-1 0 2 0 2 -2 0 0 1 0 -2 0 1 -1 0 1 -1 -1 -2 2 4 0] [-2 -1 3 2 0 -1 -1 3 2 2 0 -2 2 -3 0 2 0 -1 -2 1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 719. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 2 1 1 -1 -2 -1 1 -2 2 -2 1 -1 1 1 1 -1 -1 0] [ 1 4 0 1 2 2 -1 -2 -2 -1 -1 -1 2 -2 1 1 -1 0 0 -2 -1 1] [-1 0 4 -1 -1 1 -2 1 1 2 -2 -1 1 -1 1 2 1 -2 1 1 -1 1] [ 2 1 -1 4 0 1 1 0 -2 0 0 -2 0 -2 1 -2 -1 1 -1 0 -1 0] [ 2 2 -1 0 4 0 0 -2 -1 -2 0 0 1 -1 0 0 0 1 1 -2 0 1] [ 1 2 1 1 0 4 0 0 -2 1 0 -2 2 -1 1 0 0 -1 0 0 -1 1] [ 1 -1 -2 1 0 0 4 0 -1 -1 1 -1 -1 0 -1 -1 1 0 -1 0 1 -1] [-1 -2 1 0 -2 0 0 4 1 2 0 -1 0 1 -1 -1 0 0 -1 2 0 0] [-2 -2 1 -2 -1 -2 -1 1 4 0 -1 2 -2 2 -1 1 1 0 0 1 1 -1] [-1 -1 2 0 -2 1 -1 2 0 4 0 0 0 0 0 -1 0 -1 0 2 0 0] [ 1 -1 -2 0 0 0 1 0 -1 0 4 1 0 1 0 -1 0 1 0 0 0 -1] [-2 -1 -1 -2 0 -2 -1 -1 2 0 1 6 -3 3 -1 1 0 1 1 -1 1 -2] [ 2 2 1 0 1 2 -1 0 -2 0 0 -3 6 -1 2 1 0 0 1 0 -2 1] [-2 -2 -1 -2 -1 -1 0 1 2 0 1 3 -1 6 0 1 0 0 1 1 0 -1] [ 1 1 1 1 0 1 -1 -1 -1 0 0 -1 2 0 4 1 0 -1 1 0 -2 1] [-1 1 2 -2 0 0 -1 -1 1 -1 -1 1 1 1 1 6 2 -1 2 -1 -1 -1] [ 1 -1 1 -1 0 0 1 0 1 0 0 0 0 0 0 2 4 -1 1 0 0 -1] [ 1 0 -2 1 1 -1 0 0 0 -1 1 1 0 0 -1 -1 -1 4 0 0 1 -1] [ 1 0 1 -1 1 0 -1 -1 0 0 0 1 1 1 1 2 1 0 4 -1 -1 0] [-1 -2 1 0 -2 0 0 2 1 2 0 -1 0 1 0 -1 0 0 -1 4 1 0] [-1 -1 -1 -1 0 -1 1 0 1 0 0 1 -2 0 -2 -1 0 1 -1 1 4 -1] [ 0 1 1 0 1 1 -1 0 -1 0 -1 -2 1 -1 1 -1 -1 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 720. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 2 -2 0 -1 -2 1 1 -1 -1 1 -1 -1 -2 1 0 -1 2 -1] [-1 6 2 0 -1 2 -2 3 0 -1 2 1 0 -2 -1 2 -2 -2 2 3 -3 -2] [-2 2 6 0 -1 1 -2 1 -1 0 0 2 2 -2 -1 0 2 -2 -1 -1 -2 1] [ 1 0 0 4 0 0 1 -1 -1 -1 1 -1 1 0 0 0 1 1 1 -2 2 -2] [ 2 -1 -1 0 4 -2 -1 0 -2 0 0 0 0 1 -1 0 0 0 -1 -1 1 -1] [-2 2 1 0 -2 4 1 1 1 0 0 1 0 -2 1 0 0 0 1 1 -2 -1] [ 0 -2 -2 1 -1 1 4 -2 1 1 -1 -1 -1 1 2 -1 0 1 1 0 2 -1] [-1 3 1 -1 0 1 -2 4 1 -1 1 0 1 -2 0 1 0 -1 1 2 -3 -1] [-2 0 -1 -1 -2 1 1 1 4 0 -1 0 0 0 2 1 0 0 1 1 -1 1] [ 1 -1 0 -1 0 0 1 -1 0 4 0 1 0 1 0 -2 -1 -1 -1 0 1 0] [ 1 2 0 1 0 0 -1 1 -1 0 4 0 1 -1 0 0 -2 0 0 1 -1 -1] [-1 1 2 -1 0 1 -1 0 0 1 0 4 1 -1 0 1 0 -2 -1 0 -1 0] [-1 0 2 1 0 0 -1 1 0 0 1 1 4 -1 0 0 2 -1 -1 -1 0 0] [ 1 -2 -2 0 1 -2 1 -2 0 1 -1 -1 -1 4 0 0 -1 0 0 -1 2 0] [-1 -1 -1 0 -1 1 2 0 2 0 0 0 0 0 4 0 0 1 0 0 -1 0] [-1 2 0 0 0 0 -1 1 1 -2 0 1 0 0 0 4 0 -1 1 1 -1 0] [-2 -2 2 1 0 0 0 0 0 -1 -2 0 2 -1 0 0 6 0 -1 -2 1 1] [ 1 -2 -2 1 0 0 1 -1 0 -1 0 -2 -1 0 1 -1 0 4 0 -1 1 1] [ 0 2 -1 1 -1 1 1 1 1 -1 0 -1 -1 0 0 1 -1 0 4 1 0 -2] [-1 3 -1 -2 -1 1 0 2 1 0 1 0 -1 -1 0 1 -2 -1 1 6 -1 -1] [ 2 -3 -2 2 1 -2 2 -3 -1 1 -1 -1 0 2 -1 -1 1 1 0 -1 6 -1] [-1 -2 1 -2 -1 -1 -1 -1 1 0 -1 0 0 0 0 0 1 1 -2 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 721. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 -1 0 2 0 0 1 0 -1 1 0 2 1 0 0 0 -1 -1] [ 0 4 -1 1 0 2 0 -1 0 -1 1 0 0 2 0 1 -1 0 1 0 -1 0] [ 1 -1 4 0 -1 0 0 2 1 1 1 1 -2 0 -1 1 -1 0 1 1 0 0] [-2 1 0 4 0 0 1 -2 0 -1 1 0 0 0 -1 0 -1 1 1 0 1 1] [ 0 0 -1 0 4 -2 -1 -2 -2 -2 -1 -2 -1 0 2 -1 -1 0 1 -2 0 -1] [-1 2 0 0 -2 6 -1 0 0 0 -1 0 -1 1 -1 1 0 -2 0 0 -1 -1] [ 0 0 0 1 -1 -1 4 -1 0 1 2 0 2 -1 -2 -1 0 2 -1 0 0 2] [ 2 -1 2 -2 -2 0 -1 6 1 2 0 1 0 0 -1 2 2 0 0 1 -1 0] [ 0 0 1 0 -2 0 0 1 4 2 1 1 1 1 0 1 0 0 -1 2 0 0] [ 0 -1 1 -1 -2 0 1 2 2 4 1 0 2 -1 -1 0 1 0 -2 2 -1 0] [ 1 1 1 1 -1 -1 2 0 1 1 4 1 0 1 -1 1 -1 2 0 1 -1 1] [ 0 0 1 0 -2 0 0 1 1 0 1 4 0 0 0 0 -1 1 1 1 1 1] [-1 0 -2 0 -1 -1 2 0 1 2 0 0 6 -2 0 -2 2 0 -1 1 1 1] [ 1 2 0 0 0 1 -1 0 1 -1 1 0 -2 4 0 2 -1 0 0 0 -1 0] [ 0 0 -1 -1 2 -1 -2 -1 0 -1 -1 0 0 0 4 0 -1 -1 1 0 1 -2] [ 2 1 1 0 -1 1 -1 2 1 0 1 0 -2 2 0 4 0 0 0 1 -1 -1] [ 1 -1 -1 -1 -1 0 0 2 0 1 -1 -1 2 -1 -1 0 4 -1 -1 0 0 0] [ 0 0 0 1 0 -2 2 0 0 0 2 1 0 0 -1 0 -1 4 0 0 0 2] [ 0 1 1 1 1 0 -1 0 -1 -2 0 1 -1 0 1 0 -1 0 4 -1 1 0] [ 0 0 1 0 -2 0 0 1 2 2 1 1 1 0 0 1 0 0 -1 4 1 0] [-1 -1 0 1 0 -1 0 -1 0 -1 -1 1 1 -1 1 -1 0 0 1 1 4 0] [-1 0 0 1 -1 -1 2 0 0 0 1 1 1 0 -2 -1 0 2 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 722. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 0 -1 -1 1 1 -1 -1 -2 0 -1 0 -1 -1 -1 1 1 -1 2] [ 2 4 2 2 1 0 -2 0 2 -1 1 0 -1 -1 -1 -1 1 0 0 1 -1 2] [ 2 2 4 0 0 -1 0 0 2 0 0 -2 0 0 -1 -1 0 -1 -1 1 -1 2] [ 2 2 0 4 1 -1 -1 0 0 -2 -1 -1 0 -1 0 -1 0 0 0 1 0 2] [ 0 1 0 1 4 0 1 1 2 0 2 2 0 1 -1 1 0 2 1 2 0 2] [-1 0 -1 -1 0 4 -2 1 1 0 2 3 -2 -1 0 -1 -1 1 0 -1 0 -2] [-1 -2 0 -1 1 -2 6 0 1 0 1 0 3 2 1 1 1 1 1 0 2 0] [ 1 0 0 0 1 1 0 4 0 1 0 1 -1 0 1 0 -2 1 1 0 -1 1] [ 1 2 2 0 2 1 1 0 6 -1 4 2 1 0 0 0 0 0 1 2 0 0] [-1 -1 0 -2 0 0 0 1 -1 4 -1 1 -1 1 0 2 0 0 0 0 0 1] [-1 1 0 -1 2 2 1 0 4 -1 6 3 0 1 0 0 1 1 1 1 1 -1] [-2 0 -2 -1 2 3 0 1 2 1 3 6 -1 0 0 1 0 2 1 0 1 -1] [ 0 -1 0 0 0 -2 3 -1 1 -1 0 -1 4 1 1 1 0 0 1 0 1 -1] [-1 -1 0 -1 1 -1 2 0 0 1 1 0 1 4 -1 2 1 0 1 1 0 1] [ 0 -1 -1 0 -1 0 1 1 0 0 0 0 1 -1 4 0 -1 -1 0 -1 1 -1] [-1 -1 -1 -1 1 -1 1 0 0 2 0 1 1 2 0 4 1 0 1 1 0 1] [-1 1 0 0 0 -1 1 -2 0 0 1 0 0 1 -1 1 4 0 0 0 1 1] [-1 0 -1 0 2 1 1 1 0 0 1 2 0 0 -1 0 0 4 1 0 1 0] [ 1 0 -1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 4 0 0 0] [ 1 1 1 1 2 -1 0 0 2 0 1 0 0 1 -1 1 0 0 0 4 0 2] [-1 -1 -1 0 0 0 2 -1 0 0 1 1 1 0 1 0 1 1 0 0 4 -1] [ 2 2 2 2 2 -2 0 1 0 1 -1 -1 -1 1 -1 1 1 0 0 2 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 723. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 -1 -2 -2 -1 0 -1 1 -1 -1 -1 -1 -1 -1 -2 -2 -2 0 -1] [ 0 4 2 -1 0 2 1 2 2 0 1 -1 -1 0 2 1 1 -1 0 1 0 1] [ 0 2 4 0 0 1 0 0 2 -1 -1 0 -1 -1 1 0 2 0 0 0 -1 0] [ 2 -1 0 4 0 -2 -2 -1 0 -2 0 1 0 -2 -1 0 -1 0 -2 -2 -1 -1] [-1 0 0 0 4 2 0 0 1 0 -1 0 -1 0 1 2 1 1 -1 0 -1 -1] [-2 2 1 -2 2 6 1 2 0 1 0 -2 -2 2 3 2 3 0 0 2 1 1] [-2 1 0 -2 0 1 4 2 0 2 -1 0 1 2 1 1 0 1 2 1 0 2] [-1 2 0 -1 0 2 2 4 0 1 1 0 -1 1 2 2 0 -1 1 2 0 1] [ 0 2 2 0 1 0 0 0 4 0 -1 0 0 -2 1 1 0 0 0 0 -1 0] [-1 0 -1 -2 0 1 2 1 0 4 -1 0 0 1 1 1 0 0 1 1 0 2] [ 1 1 -1 0 -1 0 -1 1 -1 -1 4 -1 -1 1 0 0 0 -2 0 1 1 0] [-1 -1 0 1 0 -2 0 0 0 0 -1 4 1 -2 -1 0 -1 1 0 0 -1 0] [-1 -1 -1 0 -1 -2 1 -1 0 0 -1 1 4 -1 -1 -1 -2 2 1 -1 1 0] [-1 0 -1 -2 0 2 2 1 -2 1 1 -2 -1 6 1 1 1 0 2 1 0 1] [-1 2 1 -1 1 3 1 2 1 1 0 -1 -1 1 4 2 1 -1 0 1 0 1] [-1 1 0 0 2 2 1 2 1 1 0 0 -1 1 2 4 1 0 0 1 -1 1] [-1 1 2 -1 1 3 0 0 0 0 0 -1 -2 1 1 1 4 0 0 1 0 1] [-2 -1 0 0 1 0 1 -1 0 0 -2 1 2 0 -1 0 0 4 1 0 0 0] [-2 0 0 -2 -1 0 2 1 0 1 0 0 1 2 0 0 0 1 4 1 0 1] [-2 1 0 -2 0 2 1 2 0 1 1 0 -1 1 1 1 1 0 1 4 1 1] [ 0 0 -1 -1 -1 1 0 0 -1 0 1 -1 1 0 0 -1 0 0 0 1 4 0] [-1 1 0 -1 -1 1 2 1 0 2 0 0 0 1 1 1 1 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 724. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 -1 1 1 -1 1 1 1 1 -1 0 1 -1 2 -1 1 1 0 0] [ 0 4 -1 1 2 2 2 2 2 1 0 1 2 -1 -1 1 0 -1 -1 1 0 2] [ 1 -1 4 0 0 0 -1 -2 -1 0 2 -1 0 -1 0 1 -1 1 0 -1 1 0] [-2 1 0 4 2 1 1 2 1 -1 0 -1 1 0 -2 1 -2 0 -2 0 0 1] [-1 2 0 2 4 2 2 1 2 1 0 1 2 0 -1 2 -1 0 -1 0 0 2] [ 1 2 0 1 2 4 2 1 3 1 1 1 1 -1 0 1 0 -1 -1 1 -1 2] [ 1 2 -1 1 2 2 4 2 3 1 0 1 1 1 -1 0 1 -1 -1 1 0 2] [-1 2 -2 2 1 1 2 6 3 -1 -1 0 0 2 0 -1 0 0 -3 0 1 1] [ 1 2 -1 1 2 3 3 3 6 0 1 1 1 1 1 1 0 -2 -2 2 -1 3] [ 1 1 0 -1 1 1 1 -1 0 4 0 0 1 0 0 0 2 -1 1 1 -1 1] [ 1 0 2 0 0 1 0 -1 1 0 4 0 1 -1 1 1 -1 0 0 0 0 1] [ 1 1 -1 -1 1 1 1 0 1 0 0 4 0 0 0 0 1 -1 1 1 0 0] [-1 2 0 1 2 1 1 0 1 1 1 0 4 -1 -1 2 -1 -1 -1 0 0 2] [ 0 -1 -1 0 0 -1 1 2 1 0 -1 0 -1 4 0 -1 1 0 -1 0 1 0] [ 1 -1 0 -2 -1 0 -1 0 1 0 1 0 -1 0 4 -1 0 0 1 0 -1 0] [-1 1 1 1 2 1 0 -1 1 0 1 0 2 -1 -1 4 -1 0 -1 0 0 2] [ 2 0 -1 -2 -1 0 1 0 0 2 -1 1 -1 1 0 -1 4 -1 1 1 0 0] [-1 -1 1 0 0 -1 -1 0 -2 -1 0 -1 -1 0 0 0 -1 4 0 -2 2 -1] [ 1 -1 0 -2 -1 -1 -1 -3 -2 1 0 1 -1 -1 1 -1 1 0 4 0 -1 -1] [ 1 1 -1 0 0 1 1 0 2 1 0 1 0 0 0 0 1 -2 0 4 -1 1] [ 0 0 1 0 0 -1 0 1 -1 -1 0 0 0 1 -1 0 0 2 -1 -1 4 -1] [ 0 2 0 1 2 2 2 1 3 1 1 0 2 0 0 2 0 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 725. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 1 2 1 -2 1 0 1 -2 1 -1 -2 -2 -1 2 1 0 0 -1 -1] [-1 4 1 -2 -1 0 0 0 -1 1 2 0 1 -1 0 -1 0 -1 -1 1 1 2] [ 1 1 4 -1 0 -1 -1 -1 0 2 1 1 -1 0 -1 -2 1 1 -2 -1 -1 1] [ 1 -2 -1 4 0 0 0 0 1 0 0 1 0 -1 -1 0 -1 1 1 1 -1 -1] [ 2 -1 0 0 4 0 -2 1 -1 0 -3 -1 -1 0 0 0 1 1 -1 0 -1 0] [ 1 0 -1 0 0 4 -1 2 -1 -1 -2 -1 1 -2 0 1 2 0 1 0 0 0] [-2 0 -1 0 -2 -1 4 -2 0 -1 2 1 1 0 0 0 -2 0 1 0 0 0] [ 1 0 -1 0 1 2 -2 4 0 -1 -1 -2 1 0 0 0 1 0 1 0 0 0] [ 0 -1 0 1 -1 -1 0 0 4 -1 2 0 0 0 0 1 0 -1 1 -1 1 -1] [ 1 1 2 0 0 -1 -1 -1 -1 4 0 1 -1 0 -1 -2 0 0 -2 1 0 1] [-2 2 1 0 -3 -2 2 -1 2 0 6 1 1 0 0 -1 -2 -1 0 0 1 1] [ 1 0 1 1 -1 -1 1 -2 0 1 1 4 0 -1 -1 -1 -1 0 0 1 0 0] [-1 1 -1 0 -1 1 1 1 0 -1 1 0 4 0 1 0 -1 0 0 0 1 1] [-2 -1 0 -1 0 -2 0 0 0 0 0 -1 0 6 1 0 -1 -1 -1 -1 1 0] [-2 0 -1 -1 0 0 0 0 0 -1 0 -1 1 1 4 1 -1 -1 -1 -1 1 0] [-1 -1 -2 0 0 1 0 0 1 -2 -1 -1 0 0 1 4 1 -1 1 0 1 0] [ 2 0 1 -1 1 2 -2 1 0 0 -2 -1 -1 -1 -1 1 4 0 0 -1 0 0] [ 1 -1 1 1 1 0 0 0 -1 0 -1 0 0 -1 -1 -1 0 4 0 0 -2 0] [ 0 -1 -2 1 -1 1 1 1 1 -2 0 0 0 -1 -1 1 0 0 4 0 0 -1] [ 0 1 -1 1 0 0 0 0 -1 1 0 1 0 -1 -1 0 -1 0 0 4 1 1] [-1 1 -1 -1 -1 0 0 0 1 0 1 0 1 1 1 1 0 -2 0 1 4 0] [-1 2 1 -1 0 0 0 0 -1 1 1 0 1 0 0 0 0 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 726. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 1 0 2 -1 0 0 -1 0 2 -1 -1 -2 -2 1 -2 2 2 -1 2] [ 2 4 2 2 0 0 0 1 1 -1 -1 1 0 -1 -1 -1 0 -1 0 1 0 2] [ 1 2 4 0 -1 0 0 -1 2 0 -2 0 0 -1 0 0 0 1 -1 0 -1 1] [ 1 2 0 4 1 -1 1 2 -1 -2 0 1 0 1 -1 0 -1 -2 0 1 1 0] [ 0 0 -1 1 4 -1 0 2 -2 -2 2 2 -1 0 1 1 1 -2 1 2 1 -2] [ 2 0 0 -1 -1 6 1 -2 0 1 -2 -1 -1 -2 -1 -1 2 1 1 -1 -3 3] [-1 0 0 1 0 1 4 -1 0 -1 -1 -2 -1 -1 0 2 0 2 -2 -2 -1 1] [ 0 1 -1 2 2 -2 -1 4 -1 -1 2 1 1 1 0 0 -1 -3 1 1 2 -2] [ 0 1 2 -1 -2 0 0 -1 4 0 -2 -1 0 0 0 -1 0 2 -1 -1 0 2] [-1 -1 0 -2 -2 1 -1 -1 0 6 -2 -3 0 -1 -1 0 -2 0 0 -3 -1 1] [ 0 -1 -2 0 2 -2 -1 2 -2 -2 6 1 0 1 0 0 1 -1 2 1 1 -3] [ 2 1 0 1 2 -1 -2 1 -1 -3 1 6 1 1 1 -1 1 -2 1 4 1 -1] [-1 0 0 0 -1 -1 -1 1 0 0 0 1 4 1 1 0 -1 0 -1 0 1 -1] [-1 -1 -1 1 0 -2 -1 1 0 -1 1 1 1 4 1 0 -1 0 0 1 2 -2] [-2 -1 0 -1 1 -1 0 0 0 -1 0 1 1 1 4 1 0 1 -1 1 1 -2] [-2 -1 0 0 1 -1 2 0 -1 0 0 -1 0 0 1 4 0 1 -2 -1 0 -1] [ 1 0 0 -1 1 2 0 -1 0 -2 1 1 -1 -1 0 0 4 1 1 1 -1 1] [-2 -1 1 -2 -2 1 2 -3 2 0 -1 -2 0 0 1 1 1 6 -2 -2 -1 1] [ 2 0 -1 0 1 1 -2 1 -1 0 2 1 -1 0 -1 -2 1 -2 4 1 0 0] [ 2 1 0 1 2 -1 -2 1 -1 -3 1 4 0 1 1 -1 1 -2 1 6 2 -1] [-1 0 -1 1 1 -3 -1 2 0 -1 1 1 1 2 1 0 -1 -1 0 2 4 -2] [ 2 2 1 0 -2 3 1 -2 2 1 -3 -1 -1 -2 -2 -1 1 1 0 -1 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 727. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 -1 1 2 0 1 -1 -1 0 -1 0 0 -1 0 1 0 1 0 0 -2] [ 2 4 -1 -2 2 0 1 0 0 1 0 0 0 -1 1 -1 2 1 -1 0 1 -2] [-1 -1 4 0 0 1 -1 1 2 -1 0 0 0 -1 0 -1 -2 -2 1 0 1 1] [-1 -2 0 4 -2 0 1 1 0 0 -1 0 -1 1 -1 1 -2 0 0 -1 -1 2] [ 1 2 0 -2 4 -1 1 -1 -1 0 1 1 1 0 0 -2 1 1 -1 1 0 -1] [ 2 0 1 0 -1 4 -1 2 0 -1 -1 -1 -1 -1 0 1 0 -2 1 -1 1 -1] [ 0 1 -1 1 1 -1 4 1 -1 1 0 1 -1 0 1 0 -1 1 -1 -1 0 0] [ 1 0 1 1 -1 2 1 4 1 0 0 -1 -2 0 0 1 -1 -1 1 -2 0 0] [-1 0 2 0 -1 0 -1 1 4 1 0 -1 0 0 1 -1 0 0 0 0 0 0] [-1 1 -1 0 0 -1 1 0 1 4 -1 1 -1 1 2 -1 2 1 -2 -1 -1 0] [ 0 0 0 -1 1 -1 0 0 0 -1 4 -1 0 1 -1 1 0 1 1 0 -1 0] [-1 0 0 0 1 -1 1 -1 -1 1 -1 4 -1 0 0 -1 1 0 0 -1 0 0] [ 0 0 0 -1 1 -1 -1 -2 0 -1 0 -1 4 -1 0 -1 0 1 -1 2 0 0] [ 0 -1 -1 1 0 -1 0 0 0 1 1 0 -1 4 -1 0 1 1 0 0 -2 1] [-1 1 0 -1 0 0 1 0 1 2 -1 0 0 -1 4 0 0 0 -2 0 1 0] [ 0 -1 -1 1 -2 1 0 1 -1 -1 1 -1 -1 0 0 4 -1 0 1 -1 0 1] [ 1 2 -2 -2 1 0 -1 -1 0 2 0 1 0 1 0 -1 6 2 -1 0 -1 -2] [ 0 1 -2 0 1 -2 1 -1 0 1 1 0 1 1 0 0 2 4 -1 1 -1 0] [ 1 -1 1 0 -1 1 -1 1 0 -2 1 0 -1 0 -2 1 -1 -1 4 -1 0 0] [ 0 0 0 -1 1 -1 -1 -2 0 -1 0 -1 2 0 0 -1 0 1 -1 4 1 0] [ 0 1 1 -1 0 1 0 0 0 -1 -1 0 0 -2 1 0 -1 -1 0 1 4 -1] [-2 -2 1 2 -1 -1 0 0 0 0 0 0 0 1 0 1 -2 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 728. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 1 -1 0 1 -1 -1 1 1 0 -1 0 -1 1 1 -1] [-2 4 -2 2 1 1 1 1 1 1 -1 1 1 -1 -1 1 -1 -1 1 1 -2 1] [ 2 -2 4 -2 -1 0 -1 -1 -2 1 0 -1 -1 2 0 0 -1 1 -1 0 2 -1] [-2 2 -2 4 1 -1 2 0 2 -1 0 0 1 -2 -1 1 -1 0 0 1 0 0] [ 0 1 -1 1 4 2 2 2 2 -1 -1 -1 2 -1 1 2 -2 0 -1 -1 -2 1] [ 1 1 0 -1 2 4 1 2 0 0 0 -1 1 1 1 1 -1 -1 -1 -1 -2 1] [-1 1 -1 2 2 1 4 0 1 -2 0 0 2 -1 1 2 -2 0 0 -1 0 0] [ 1 1 -1 0 2 2 0 4 1 0 0 0 1 -1 0 1 -1 0 0 1 -2 0] [-1 1 -2 2 2 0 1 1 4 0 0 0 1 -2 -1 1 -1 0 0 -1 -1 1] [ 0 1 1 -1 -1 0 -2 0 0 4 0 1 -1 1 -2 0 0 0 1 0 0 1] [ 1 -1 0 0 -1 0 0 0 0 0 4 0 0 1 0 0 0 -1 0 0 2 -1] [-1 1 -1 0 -1 -1 0 0 0 1 0 4 1 -1 -1 0 0 1 1 0 1 0] [-1 1 -1 1 2 1 2 1 1 -1 0 1 4 -1 0 1 -2 1 -1 -1 0 1] [ 1 -1 2 -2 -1 1 -1 -1 -2 1 1 -1 -1 4 1 0 1 0 0 0 0 0] [ 1 -1 0 -1 1 1 1 0 -1 -2 0 -1 0 1 4 1 1 0 0 -1 -1 -1] [ 0 1 0 1 2 1 2 1 1 0 0 0 1 0 1 4 -1 0 0 0 0 -1] [-1 -1 -1 -1 -2 -1 -2 -1 -1 0 0 0 -2 1 1 -1 6 0 1 -1 -1 -1] [ 0 -1 1 0 0 -1 0 0 0 0 -1 1 1 0 0 0 0 4 0 0 1 0] [-1 1 -1 0 -1 -1 0 0 0 1 0 1 -1 0 0 0 1 0 4 0 -1 0] [ 1 1 0 1 -1 -1 -1 1 -1 0 0 0 -1 0 -1 0 -1 0 0 6 1 -1] [ 1 -2 2 0 -2 -2 0 -2 -1 0 2 1 0 0 -1 0 -1 1 -1 1 6 -2] [-1 1 -1 0 1 1 0 0 1 1 -1 0 1 0 -1 -1 -1 0 0 -1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 729. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 1 2 -2 2 -1 -1 0 -1 -2 2 -2 -1 1 0 -2 -2 -1 0 -1] [-2 4 -1 1 -1 1 0 0 1 -1 2 1 -1 0 2 -1 -1 0 0 2 1 2] [ 1 -1 4 0 -1 0 -1 -1 -2 2 1 0 0 -2 1 2 1 -1 -2 1 -1 -2] [ 1 1 0 6 3 1 1 -2 0 2 3 0 -1 1 3 1 -2 -1 0 3 2 -1] [ 2 -1 -1 3 6 -1 1 -2 1 -1 -1 0 1 0 0 1 -1 -1 1 -1 1 -2] [-2 1 0 1 -1 4 -2 1 0 1 1 1 -1 2 2 0 0 2 2 1 0 -1] [ 2 0 -1 1 1 -2 4 -1 1 0 0 -2 1 -1 0 -1 0 -2 -2 0 0 1] [-1 0 -1 -2 -2 1 -1 4 -1 0 0 -1 1 2 -1 0 0 2 1 0 0 2] [-1 1 -2 0 1 0 1 -1 4 -1 -1 1 0 0 1 -2 0 0 0 -1 0 0] [ 0 -1 2 2 -1 1 0 0 -1 6 2 0 0 2 2 2 0 0 -2 2 0 -2] [-1 2 1 3 -1 1 0 0 -1 2 6 0 -2 0 3 1 -2 0 -1 4 1 1] [-2 1 0 0 0 1 -2 -1 1 0 0 4 -1 0 0 0 -1 1 1 0 1 -1] [ 2 -1 0 -1 1 -1 1 1 0 0 -2 -1 4 0 -1 1 0 -1 -1 -2 0 0] [-2 0 -2 1 0 2 -1 2 0 2 0 0 0 6 1 0 -1 2 3 0 1 1] [-1 2 1 3 0 2 0 -1 1 2 3 0 -1 1 6 1 -1 -1 0 3 1 0] [ 1 -1 2 1 1 0 -1 0 -2 2 1 0 1 0 1 4 -1 -1 0 1 1 -1] [ 0 -1 1 -2 -1 0 0 0 0 0 -2 -1 0 -1 -1 -1 4 0 -1 -1 -2 -1] [-2 0 -1 -1 -1 2 -2 2 0 0 0 1 -1 2 -1 -1 0 4 2 0 0 0] [-2 0 -2 0 1 2 -2 1 0 -2 -1 1 -1 3 0 0 -1 2 6 -1 1 1] [-1 2 1 3 -1 1 0 0 -1 2 4 0 -2 0 3 1 -1 0 -1 6 2 1] [ 0 1 -1 2 1 0 0 0 0 0 1 1 0 1 1 1 -2 0 1 2 4 1] [-1 2 -2 -1 -2 -1 1 2 0 -2 1 -1 0 1 0 -1 -1 0 1 1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 730. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 1 1 -1 -2 1 -2 -2 -1 -1 2 -1 1 0 1 1 -2 -2 0] [ 2 4 -2 -1 -1 0 -1 -2 2 -2 -1 -2 1 1 -1 2 1 1 1 -2 -1 0] [-2 -2 4 1 1 -1 2 2 -1 2 2 2 0 -2 0 -2 -1 -1 0 2 2 -1] [-2 -1 1 6 -3 -2 -1 1 -2 1 0 2 -2 -3 -2 1 2 -2 -3 1 3 -2] [ 1 -1 1 -3 6 1 2 1 1 1 0 -1 1 0 1 -2 -1 1 3 1 0 1] [ 1 0 -1 -2 1 4 1 -1 1 -1 -1 -1 0 0 0 1 -2 2 0 -1 0 2] [-1 -1 2 -1 2 1 4 1 1 1 1 1 0 -1 0 -1 -2 1 0 1 1 1] [-2 -2 2 1 1 -1 1 4 0 1 1 1 1 -2 1 -1 0 -1 -1 2 1 -1] [ 1 2 -1 -2 1 1 1 0 4 -2 -1 -1 2 1 0 1 0 1 0 0 -1 0] [-2 -2 2 1 1 -1 1 1 -2 4 1 1 0 -2 1 -2 -1 0 1 1 2 0] [-2 -1 2 0 0 -1 1 1 -1 1 4 0 1 0 1 -2 0 -1 1 1 0 0] [-1 -2 2 2 -1 -1 1 1 -1 1 0 6 -3 -2 0 -1 -1 0 -1 1 2 -1] [-1 1 0 -2 1 0 0 1 2 0 1 -3 6 0 2 -1 1 -1 2 1 0 0] [ 2 1 -2 -3 0 0 -1 -2 1 -2 0 -2 0 6 0 0 0 0 0 -1 -4 1] [-1 -1 0 -2 1 0 0 1 0 1 1 0 2 0 4 -1 -1 0 2 1 0 0] [ 1 2 -2 1 -2 1 -1 -1 1 -2 -2 -1 -1 0 -1 4 0 1 -2 -1 0 0] [ 0 1 -1 2 -1 -2 -2 0 0 -1 0 -1 1 0 -1 0 4 -2 0 0 0 -1] [ 1 1 -1 -2 1 2 1 -1 1 0 -1 0 -1 0 0 1 -2 4 1 -1 0 2] [ 1 1 0 -3 3 0 0 -1 0 1 1 -1 2 0 2 -2 0 1 6 -1 0 1] [-2 -2 2 1 1 -1 1 2 0 1 1 1 1 -1 1 -1 0 -1 -1 4 2 -1] [-2 -1 2 3 0 0 1 1 -1 2 0 2 0 -4 0 0 0 0 0 2 6 -1] [ 0 0 -1 -2 1 2 1 -1 0 0 0 -1 0 1 0 0 -1 2 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 731. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 0 -1 0 2 -2 0 0 -1 -1 -1 -1 0 0 -2 0 -2 0 -1 0] [-1 4 -1 -1 0 1 -2 2 1 -1 2 2 0 -1 0 1 1 1 2 -1 0 1] [-1 -1 4 -1 2 1 -1 0 -1 1 0 -1 2 2 -1 1 -1 0 1 0 1 -2] [ 0 -1 -1 4 -1 -2 1 0 -1 -1 -1 -1 0 0 1 -2 0 1 0 -1 1 0] [-1 0 2 -1 4 0 -1 -1 1 0 -1 -1 2 0 -2 0 0 0 2 0 0 -1] [ 0 1 1 -2 0 4 -2 1 1 0 1 2 0 1 1 1 -1 1 -1 -1 -1 -1] [ 2 -2 -1 1 -1 -2 4 -2 0 0 -2 -1 -1 0 0 -1 -1 -1 -2 1 0 0] [-2 2 0 0 -1 1 -2 4 0 -1 2 1 0 1 1 1 1 1 1 -1 0 0] [ 0 1 -1 -1 1 1 0 0 4 -1 0 2 0 -1 -1 -1 1 0 0 0 -1 0] [ 0 -1 1 -1 0 0 0 -1 -1 4 -1 -1 -1 1 -1 1 0 -2 -1 2 1 0] [-1 2 0 -1 -1 1 -2 2 0 -1 6 0 1 -1 1 0 2 0 0 0 1 -1] [-1 2 -1 -1 -1 2 -1 1 2 -1 0 6 -1 0 0 0 1 0 1 0 -1 1] [-1 0 2 0 2 0 -1 0 0 -1 1 -1 4 0 -1 0 0 0 1 -1 1 -1] [-1 -1 2 0 0 1 0 1 -1 1 -1 0 0 4 0 1 -1 0 -1 0 1 -1] [ 0 0 -1 1 -2 1 0 1 -1 -1 1 0 -1 0 4 -1 -1 1 -1 -1 -1 0] [ 0 1 1 -2 0 1 -1 1 -1 1 0 0 0 1 -1 4 0 0 0 0 0 1] [-2 1 -1 0 0 -1 -1 1 1 0 2 1 0 -1 -1 0 4 -1 1 1 1 1] [ 0 1 0 1 0 1 -1 1 0 -2 0 0 0 0 1 0 -1 4 1 -2 0 0] [-2 2 1 0 2 -1 -2 1 0 -1 0 1 1 -1 -1 0 1 1 6 -1 0 1] [ 0 -1 0 -1 0 -1 1 -1 0 2 0 0 -1 0 -1 0 1 -2 -1 4 1 0] [-1 0 1 1 0 -1 0 0 -1 1 1 -1 1 1 -1 0 1 0 0 1 4 -1] [ 0 1 -2 0 -1 -1 0 0 0 0 -1 1 -1 -1 0 1 1 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 732. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 2 -2 0 -1 1 1 -2 1 -1 -1 -1 1 1 -1 -1 -1 1 0] [-1 4 -2 2 0 1 -1 0 1 -1 1 -1 1 2 0 -1 -1 -1 2 2 0 0] [ 2 -2 4 -2 0 -2 0 0 1 1 -1 0 -1 -1 0 1 1 1 -1 -1 0 1] [-1 2 -2 4 -1 2 -1 1 0 0 1 -1 1 2 1 0 -2 -1 0 2 -1 0] [ 2 0 0 -1 4 0 1 0 1 -1 0 2 0 0 -2 0 1 0 -1 0 2 0] [-2 1 -2 2 0 6 -1 2 1 0 1 -1 0 3 0 1 -3 -1 0 3 0 1] [ 0 -1 0 -1 1 -1 4 0 0 0 1 1 -1 -2 0 -1 2 2 0 -2 0 0] [-1 0 0 1 0 2 0 4 1 -1 0 0 1 0 -1 1 -1 0 0 0 1 2] [ 1 1 1 0 1 1 0 1 4 1 0 0 0 0 -1 1 -1 0 1 0 1 1] [ 1 -1 1 0 -1 0 0 -1 1 4 0 -1 -1 -1 0 0 -1 0 0 -1 0 -1] [-2 1 -1 1 0 1 1 0 0 0 4 0 0 1 0 -2 -1 2 0 1 0 0] [ 1 -1 0 -1 2 -1 1 0 0 -1 0 4 1 0 -1 -1 1 0 -1 0 1 1] [-1 1 -1 1 0 0 -1 1 0 -1 0 1 4 0 0 -1 0 0 1 0 0 0] [-1 2 -1 2 0 3 -2 0 0 -1 1 0 0 6 0 0 -2 -1 -1 4 -1 1] [-1 0 0 1 -2 0 0 -1 -1 0 0 -1 0 0 4 0 0 0 0 1 -2 0] [ 1 -1 1 0 0 1 -1 1 1 0 -2 -1 -1 0 0 4 0 -1 -1 0 0 1] [ 1 -1 1 -2 1 -3 2 -1 -1 -1 -1 1 0 -2 0 0 4 1 0 -2 0 0] [-1 -1 1 -1 0 -1 2 0 0 0 2 0 0 -1 0 -1 1 4 0 -1 0 0] [-1 2 -1 0 -1 0 0 0 1 0 0 -1 1 -1 0 -1 0 0 4 -1 0 0] [-1 2 -1 2 0 3 -2 0 0 -1 1 0 0 4 1 0 -2 -1 -1 6 0 1] [ 1 0 0 -1 2 0 0 1 1 0 0 1 0 -1 -2 0 0 0 0 0 4 0] [ 0 0 1 0 0 1 0 2 1 -1 0 1 0 1 0 1 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 733. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 2 1 -1 1 1 -1 2 -1 0 1 1 1 1 -2 1 2 0 -1 -1] [ 1 4 0 1 2 -1 0 -1 0 0 -2 0 0 -1 0 1 -2 0 1 0 -1 0] [ 1 0 4 -1 -1 -2 0 2 0 -1 -2 0 0 -1 0 1 -1 0 -1 0 -1 -1] [ 2 1 -1 4 0 0 1 0 -1 1 0 1 1 0 1 0 -1 1 1 1 0 1] [ 1 2 -1 0 4 -1 0 -1 0 1 0 0 -1 0 -1 0 -1 0 2 0 -1 0] [-1 -1 -2 0 -1 6 -2 0 2 -1 2 -2 0 1 0 -1 3 -2 -1 -2 0 1] [ 1 0 0 1 0 -2 4 1 0 1 1 2 0 1 0 1 0 0 2 2 0 -1] [ 1 -1 2 0 -1 0 1 4 1 0 0 0 -1 1 -1 0 0 -1 -1 0 -1 -1] [-1 0 0 -1 0 2 0 1 4 -2 1 -1 -1 1 -1 -1 2 -1 0 -1 -1 -1] [ 2 0 -1 1 1 -1 1 0 -2 4 0 1 1 1 0 1 -2 1 1 1 0 -1] [-1 -2 -2 0 0 2 1 0 1 0 4 0 -1 1 0 -1 3 -1 1 0 1 1] [ 0 0 0 1 0 -2 2 0 -1 1 0 4 1 -1 0 0 0 1 0 2 0 0] [ 1 0 0 1 -1 0 0 -1 -1 1 -1 1 4 -1 2 1 -1 2 1 1 1 0] [ 1 -1 -1 0 0 1 1 1 1 1 1 -1 -1 4 0 0 0 0 1 -1 0 -1] [ 1 0 0 1 -1 0 0 -1 -1 0 0 0 2 0 4 0 0 1 2 0 2 1] [ 1 1 1 0 0 -1 1 0 -1 1 -1 0 1 0 0 4 -1 0 0 1 0 0] [-2 -2 -1 -1 -1 3 0 0 2 -2 3 0 -1 0 0 -1 6 -2 0 -1 1 1] [ 1 0 0 1 0 -2 0 -1 -1 1 -1 1 2 0 1 0 -2 4 1 1 1 0] [ 2 1 -1 1 2 -1 2 -1 0 1 1 0 1 1 2 0 0 1 6 0 1 0] [ 0 0 0 1 0 -2 2 0 -1 1 0 2 1 -1 0 1 -1 1 0 4 1 0] [-1 -1 -1 0 -1 0 0 -1 -1 0 1 0 1 0 2 0 1 1 1 1 4 1] [-1 0 -1 1 0 1 -1 -1 -1 -1 1 0 0 -1 1 0 1 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 734. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 -1 -1 -1 1 -1 1 1 -1 0 0 0 -1 0 2 0 0 -2 1] [-1 4 1 0 2 -1 0 1 -1 0 -2 2 1 1 1 2 -1 0 1 1 -1 -1] [ 0 1 4 -1 -1 -2 0 -1 -2 1 0 2 1 -1 0 0 0 -1 -1 -1 -1 1] [ 2 0 -1 4 -1 0 0 2 -1 1 -1 -1 -1 1 -1 0 -1 2 1 1 -2 0] [-1 2 -1 -1 4 1 -1 0 1 0 -1 1 1 0 1 2 -1 0 0 0 0 -1] [-1 -1 -2 0 1 4 -1 0 1 0 0 0 -1 -1 -1 0 0 -1 1 -1 2 -1] [-1 0 0 0 -1 -1 4 -1 1 -1 0 0 -1 1 1 -1 -1 -1 0 1 1 1] [ 1 1 -1 2 0 0 -1 4 -1 1 0 0 0 1 -1 1 -1 2 1 1 -2 0] [-1 -1 -2 -1 1 1 1 -1 4 -2 1 -1 0 0 1 -1 0 -1 0 0 1 0] [ 1 0 1 1 0 0 -1 1 -2 4 0 0 -1 -1 -2 0 -1 1 -1 -1 -1 0] [ 1 -2 0 -1 -1 0 0 0 1 0 4 0 0 -1 0 -1 1 0 0 -1 0 2] [-1 2 2 -1 1 0 0 0 -1 0 0 4 1 -1 1 1 0 -1 1 -1 0 1] [ 0 1 1 -1 1 -1 -1 0 0 -1 0 1 4 1 1 1 0 0 -1 1 -2 1] [ 0 1 -1 1 0 -1 1 1 0 -1 -1 -1 1 4 1 1 0 1 0 2 -1 0] [ 0 1 0 -1 1 -1 1 -1 1 -2 0 1 1 1 4 1 0 -1 1 1 1 1] [-1 2 0 0 2 0 -1 1 -1 0 -1 1 1 1 1 4 -1 0 1 1 0 0] [ 0 -1 0 -1 -1 0 -1 -1 0 -1 1 0 0 0 0 -1 4 0 0 -1 1 0] [ 2 0 -1 2 0 -1 -1 2 -1 1 0 -1 0 1 -1 0 0 4 0 1 -2 0] [ 0 1 -1 1 0 1 0 1 0 -1 0 1 -1 0 1 1 0 0 4 0 1 0] [ 0 1 -1 1 0 -1 1 1 0 -1 -1 -1 1 2 1 1 -1 1 0 4 0 0] [-2 -1 -1 -2 0 2 1 -2 1 -1 0 0 -2 -1 1 0 1 -2 1 0 6 -1] [ 1 -1 1 0 -1 -1 1 0 0 0 2 1 1 0 1 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 735. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 1 0 -2 0 1 0 -1 -2 1 0 -1 -2 2 -2 -1 0 0 1] [ 0 4 -1 1 2 1 0 0 1 -1 1 -1 1 0 -1 1 0 0 1 -1 -2 0] [ 1 -1 4 0 1 1 -2 0 -1 -1 1 -1 1 0 -1 0 -1 -2 -2 -1 -1 -1] [-2 1 0 4 0 1 0 1 -1 -1 1 0 -1 -1 1 1 -2 1 0 -1 -2 -1] [ 1 2 1 0 4 0 -2 -1 0 0 0 -1 2 -1 -2 0 0 -2 -1 0 -1 -1] [ 0 1 1 1 0 4 1 0 1 -2 2 -1 0 1 0 1 -1 1 0 -2 -1 0] [-2 0 -2 0 -2 1 6 -1 0 -1 1 1 0 0 0 0 0 4 1 -1 0 2] [ 0 0 0 1 -1 0 -1 4 -1 -1 -1 0 -1 1 1 1 1 1 0 -1 1 1] [ 1 1 -1 -1 0 1 0 -1 4 0 1 0 0 1 0 -1 1 0 2 0 0 0] [ 0 -1 -1 -1 0 -2 -1 -1 0 4 -1 0 0 0 1 0 0 -1 0 2 1 -1] [-1 1 1 1 0 2 1 -1 1 -1 4 0 0 0 -1 1 -1 1 1 -1 -1 -1] [-2 -1 -1 0 -1 -1 1 0 0 0 0 4 -1 1 0 0 0 2 1 0 2 0] [ 1 1 1 -1 2 0 0 -1 0 0 0 -1 4 -1 -1 -1 1 -2 0 0 0 0] [ 0 0 0 -1 -1 1 0 1 1 0 0 1 -1 4 0 1 0 1 0 -1 1 1] [-1 -1 -1 1 -2 0 0 1 0 1 -1 0 -1 0 4 1 -1 0 1 1 1 -1] [-2 1 0 1 0 1 0 1 -1 0 1 0 -1 1 1 4 -2 1 0 0 0 -1] [ 2 0 -1 -2 0 -1 0 1 1 0 -1 0 1 0 -1 -2 4 0 1 0 2 2] [-2 0 -2 1 -2 1 4 1 0 -1 1 2 -2 1 0 1 0 6 1 -1 1 2] [-1 1 -2 0 -1 0 1 0 2 0 1 1 0 0 1 0 1 1 4 0 1 0] [ 0 -1 -1 -1 0 -2 -1 -1 0 2 -1 0 0 -1 1 0 0 -1 0 4 2 -1] [ 0 -2 -1 -2 -1 -1 0 1 0 1 -1 2 0 1 1 0 2 1 1 2 6 0] [ 1 0 -1 -1 -1 0 2 1 0 -1 -1 0 0 1 -1 -1 2 2 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 736. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 -2 -2 0 1 1 0 0 -1 1 -2 -1 1 0 2 -1 1] [ 1 4 -2 0 0 0 1 -2 1 2 1 0 0 0 0 0 1 1 1 2 -1 -1] [-1 -2 4 -1 0 0 -1 1 -1 -2 -1 1 1 -1 1 -1 0 -2 -1 -2 1 -1] [ 1 0 -1 4 -1 1 1 0 -1 0 1 -2 -2 0 0 1 -2 0 -1 2 -1 1] [ 1 0 0 -1 4 2 -1 -2 0 0 -1 0 2 -1 0 -1 -1 0 -1 1 0 0] [ 2 0 0 1 2 4 -2 -1 0 0 1 0 1 -2 0 -2 -2 0 -2 2 0 0] [-2 1 -1 1 -1 -2 4 0 0 0 0 -1 -1 1 -1 3 1 0 1 0 -1 0] [-2 -2 1 0 -2 -1 0 6 1 -1 1 0 -1 1 0 -1 -1 -2 -1 -2 0 0] [ 0 1 -1 -1 0 0 0 1 4 0 1 1 -1 1 -1 -2 1 1 1 1 -1 -1] [ 1 2 -2 0 0 0 0 -1 0 4 1 -1 0 1 1 0 0 1 0 0 -1 0] [ 1 1 -1 1 -1 1 0 1 1 1 4 -1 -1 -1 0 -2 0 1 -1 0 -2 1] [ 0 0 1 -2 0 0 -1 0 1 -1 -1 4 1 0 -1 -1 1 -1 1 0 1 -1] [ 0 0 1 -2 2 1 -1 -1 -1 0 -1 1 4 -2 1 0 0 -1 0 0 1 0] [-1 0 -1 0 -1 -2 1 1 1 1 -1 0 -2 4 -1 1 0 0 1 -1 0 -1] [ 1 0 1 0 0 0 -1 0 -1 1 0 -1 1 -1 4 -1 0 -1 0 0 -1 0] [-2 0 -1 1 -1 -2 3 -1 -2 0 -2 -1 0 1 -1 6 1 0 1 0 1 1] [-1 1 0 -2 -1 -2 1 -1 1 0 0 1 0 0 0 1 4 1 2 -1 0 0] [ 1 1 -2 0 0 0 0 -2 1 1 1 -1 -1 0 -1 0 1 4 1 1 0 1] [ 0 1 -1 -1 -1 -2 1 -1 1 0 -1 1 0 1 0 1 2 1 4 0 0 0] [ 2 2 -2 2 1 2 0 -2 1 0 0 0 0 -1 0 0 -1 1 0 6 0 0] [-1 -1 1 -1 0 0 -1 0 -1 -1 -2 1 1 0 -1 1 0 0 0 0 4 -1] [ 1 -1 -1 1 0 0 0 0 -1 0 1 -1 0 -1 0 1 0 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 737. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 0 2 0 2 0 2 2 0 1 0 -2 -1 -1 -1 1 1 0 0] [ 0 4 1 -1 0 1 2 1 2 0 1 2 -1 2 -2 -1 -2 -1 -1 1 0 1] [ 1 1 4 -2 0 0 1 0 1 1 0 -1 -1 1 -2 0 -2 0 -1 0 1 -1] [-1 -1 -2 4 1 1 -1 0 0 -1 0 0 0 0 2 -1 2 1 0 -1 0 -1] [ 0 0 0 1 4 1 0 1 0 0 1 -1 1 0 0 0 1 2 0 -2 0 -1] [ 2 1 0 1 1 6 2 3 2 1 3 1 -1 2 0 0 0 -1 1 1 0 0] [ 0 2 1 -1 0 2 4 1 2 0 1 1 -1 2 -1 0 -2 0 0 0 1 1] [ 2 1 0 0 1 3 1 4 0 0 2 1 0 1 0 0 -1 -1 0 1 -1 0] [ 0 2 1 0 0 2 2 0 4 1 1 1 -2 2 -2 0 -1 0 -1 0 0 0] [ 2 0 1 -1 0 1 0 0 1 4 0 0 0 1 -1 0 0 0 1 0 1 -1] [ 2 1 0 0 1 3 1 2 1 0 4 1 0 0 -2 0 -1 -1 0 1 0 0] [ 0 2 -1 0 -1 1 1 1 1 0 1 4 -1 1 -1 0 -1 -2 -1 1 0 1] [ 1 -1 -1 0 1 -1 -1 0 -2 0 0 -1 4 -2 1 -1 1 0 2 0 0 1] [ 0 2 1 0 0 2 2 1 2 1 0 1 -2 4 -1 0 -1 0 -1 0 1 0] [-2 -2 -2 2 0 0 -1 0 -2 -1 -2 -1 1 -1 6 0 2 0 2 0 -1 0] [-1 -1 0 -1 0 0 0 0 0 0 0 0 -1 0 0 4 1 0 -1 0 0 0] [-1 -2 -2 2 1 0 -2 -1 -1 0 -1 -1 1 -1 2 1 4 1 1 -1 0 0] [-1 -1 0 1 2 -1 0 -1 0 0 -1 -2 0 0 0 0 1 4 0 -2 1 -1] [ 1 -1 -1 0 0 1 0 0 -1 1 0 -1 2 -1 2 -1 1 0 4 0 0 1] [ 1 1 0 -1 -2 1 0 1 0 0 1 1 0 0 0 0 -1 -2 0 4 0 1] [ 0 0 1 0 0 0 1 -1 0 1 0 0 0 1 -1 0 0 1 0 0 4 -1] [ 0 1 -1 -1 -1 0 1 0 0 -1 0 1 1 0 0 0 0 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 738. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 2 -1 0 2 1 1 1 -2 0 -1 0 -1 2 -1 2 1 0 0 1] [-1 4 -2 1 -1 1 -1 0 -2 -1 1 -1 -1 1 2 -2 -1 -1 -2 -1 -1 -1] [ 2 -2 4 1 0 -1 2 1 1 2 -1 1 0 0 -2 1 0 2 2 1 0 0] [ 2 1 1 4 -2 1 2 0 -1 0 -1 0 0 1 -1 1 -1 1 0 0 -1 1] [-1 -1 0 -2 4 -2 -1 1 1 0 1 1 1 -1 0 0 2 0 1 1 1 0] [ 0 1 -1 1 -2 4 1 -1 -1 -1 0 -2 0 0 0 0 -1 -1 -2 -2 0 -1] [ 2 -1 2 2 -1 1 4 1 1 1 -1 0 0 0 -1 1 -1 2 1 0 0 1] [ 1 0 1 0 1 -1 1 4 2 0 0 0 0 1 0 -1 -1 2 1 0 -1 0] [ 1 -2 1 -1 1 -1 1 2 4 1 -1 1 1 -1 0 0 -1 2 2 1 1 0] [ 1 -1 2 0 0 -1 1 0 1 4 -1 0 0 0 -1 0 -1 2 2 0 0 0] [-2 1 -1 -1 1 0 -1 0 -1 -1 4 1 1 -1 1 -1 1 -1 -1 -1 0 -1] [ 0 -1 1 0 1 -2 0 0 1 0 1 4 1 -1 0 0 1 1 1 2 0 1] [-1 -1 0 0 1 0 0 0 1 0 1 1 4 0 -1 0 0 0 0 0 1 0] [ 0 1 0 1 -1 0 0 1 -1 0 -1 -1 0 4 0 -1 -1 0 0 0 -2 1] [-1 2 -2 -1 0 0 -1 0 0 -1 1 0 -1 0 4 -2 0 -1 -1 0 0 0] [ 2 -2 1 1 0 0 1 -1 0 0 -1 0 0 -1 -2 4 1 0 1 0 1 1] [-1 -1 0 -1 2 -1 -1 -1 -1 -1 1 1 0 -1 0 1 4 -1 0 1 1 1] [ 2 -1 2 1 0 -1 2 2 2 2 -1 1 0 0 -1 0 -1 4 2 1 0 1] [ 1 -2 2 0 1 -2 1 1 2 2 -1 1 0 0 -1 1 0 2 4 1 0 1] [ 0 -1 1 0 1 -2 0 0 1 0 -1 2 0 0 0 0 1 1 1 4 1 1] [ 0 -1 0 -1 1 0 0 -1 1 0 0 0 1 -2 0 1 1 0 0 1 4 -1] [ 1 -1 0 1 0 -1 1 0 0 0 -1 1 0 1 0 1 1 1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 739. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 0 -1 -1 1 -1 2 0 1 0 1 0 0 2 0 2] [ 1 4 -1 0 -1 0 -1 -1 0 -2 2 0 -1 1 -1 1 1 -1 -1 1 1 1] [-1 -1 4 -1 0 1 0 -1 -1 0 0 2 1 -2 0 1 -1 -1 -1 0 1 0] [-1 0 -1 4 -1 -2 0 -1 -1 2 0 -1 -2 1 1 1 0 -1 -1 -2 -1 0] [ 1 -1 0 -1 4 0 2 2 0 0 -1 0 2 -2 0 -2 -1 2 2 2 -1 1] [ 1 0 1 -2 0 4 -1 -1 -1 -1 0 0 2 -1 1 -1 -1 1 -1 0 0 1] [ 1 -1 0 0 2 -1 4 2 0 0 -1 1 2 -2 1 0 -1 1 0 2 0 1] [ 0 -1 -1 -1 2 -1 2 4 1 0 -1 0 1 -1 0 -2 0 2 2 1 0 0] [-1 0 -1 -1 0 -1 0 1 4 -1 -1 1 0 0 -1 0 1 0 2 1 0 -1] [-1 -2 0 2 0 -1 0 0 -1 4 -1 -1 0 0 1 -1 0 0 1 -1 -1 -1] [ 1 2 0 0 -1 0 -1 -1 -1 -1 4 -1 0 0 -1 0 1 -1 0 1 0 1] [-1 0 2 -1 0 0 1 0 1 -1 -1 4 0 -2 0 2 0 0 -1 1 2 -1] [ 2 -1 1 -2 2 2 2 1 0 0 0 0 6 -2 1 -1 -1 1 2 3 0 2] [ 0 1 -2 1 -2 -1 -2 -1 0 0 0 -2 -2 6 0 2 0 -1 -1 -1 0 -1] [ 1 -1 0 1 0 1 1 0 -1 1 -1 0 1 0 4 0 -1 0 -1 0 -1 1] [ 0 1 1 1 -2 -1 0 -2 0 -1 0 2 -1 2 0 6 1 -2 -3 0 2 0] [ 1 1 -1 0 -1 -1 -1 0 1 0 1 0 -1 0 -1 1 4 -1 1 0 1 0] [ 0 -1 -1 -1 2 1 1 2 0 0 -1 0 1 -1 0 -2 -1 4 1 1 0 0] [ 0 -1 -1 -1 2 -1 0 2 2 1 0 -1 2 -1 -1 -3 1 1 6 1 -1 0] [ 2 1 0 -2 2 0 2 1 1 -1 1 1 3 -1 0 0 0 1 1 6 1 1] [ 0 1 1 -1 -1 0 0 0 0 -1 0 2 0 0 -1 2 1 0 -1 1 4 -1] [ 2 1 0 0 1 1 1 0 -1 -1 1 -1 2 -1 1 0 0 0 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 740. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 0 0 -1 1 -1 0 1 -2 -1 2 2 -1 2 1 2 -2] [ 1 4 -2 1 2 0 0 0 -1 -1 -2 -1 2 0 0 2 2 0 0 2 0 0] [-1 -2 4 1 -1 -1 0 0 1 1 0 0 -2 1 -1 -2 -1 1 -1 -2 -1 1] [-1 1 1 6 -2 1 -1 2 -2 -1 -2 0 1 1 -2 2 0 -1 -1 1 -1 2] [ 2 2 -1 -2 6 -1 2 -1 1 -1 0 1 1 0 -1 2 2 1 0 1 0 -2] [ 1 0 -1 1 -1 4 -1 2 -2 -1 -1 1 0 -2 0 1 0 -2 0 0 2 -1] [ 0 0 0 -1 2 -1 4 -2 2 1 0 1 0 0 0 -1 0 1 -1 0 0 0] [ 0 0 0 2 -1 2 -2 4 -1 -2 0 1 0 0 0 2 0 -2 -1 0 0 0] [-1 -1 1 -2 1 -2 2 -1 4 0 1 1 -1 1 1 -2 0 1 -1 -1 -1 0] [ 1 -1 1 -1 -1 -1 1 -2 0 4 0 -1 0 -1 0 -2 0 1 1 0 1 0] [-1 -2 0 -2 0 -1 0 0 1 0 4 1 -1 0 0 -1 -1 0 0 -1 0 -1] [ 0 -1 0 0 1 1 1 1 1 -1 1 4 -1 0 -1 1 0 0 0 -1 0 -1] [ 1 2 -2 1 1 0 0 0 -1 0 -1 -1 4 -1 0 2 1 0 0 2 0 0] [-2 0 1 1 0 -2 0 0 1 -1 0 0 -1 4 0 0 -1 1 -1 0 -2 2] [-1 0 -1 -2 -1 0 0 0 1 0 0 -1 0 0 4 -1 0 0 -1 0 0 1] [ 2 2 -2 2 2 1 -1 2 -2 -2 -1 1 2 0 -1 6 2 -1 1 2 0 0] [ 2 2 -1 0 2 0 0 0 0 0 -1 0 1 -1 0 2 4 -1 1 1 1 -1] [-1 0 1 -1 1 -2 1 -2 1 1 0 0 0 1 0 -1 -1 4 0 0 -1 1] [ 2 0 -1 -1 0 0 -1 -1 -1 1 0 0 0 -1 -1 1 1 0 4 0 1 -1] [ 1 2 -2 1 1 0 0 0 -1 0 -1 -1 2 0 0 2 1 0 0 4 1 0] [ 2 0 -1 -1 0 2 0 0 -1 1 0 0 0 -2 0 0 1 -1 1 1 4 -2] [-2 0 1 2 -2 -1 0 0 0 0 -1 -1 0 2 1 0 -1 1 -1 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 741. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 -2 1 -2 -1 2 1 1 -2 1 1 1 1 0 1 -1 2 -1] [-2 4 0 1 -1 2 -2 2 -1 -1 1 -2 2 -1 0 -1 0 0 -1 0 -1 0] [-2 0 4 1 -1 0 1 0 1 0 -2 1 1 0 0 0 0 -1 0 1 0 1] [ 0 1 1 4 1 1 -1 1 -2 -1 0 -1 -1 0 1 1 -1 -1 0 -1 -1 1] [ 1 -1 -1 1 4 -1 0 -1 -1 -1 1 0 -1 0 1 1 -2 1 -1 -1 -1 1] [-2 2 0 1 -1 4 -1 2 0 -2 0 -2 0 0 -1 -1 -1 0 0 0 -2 0] [ 1 -2 1 -1 0 -1 4 -2 2 2 -1 2 0 1 1 1 0 0 1 1 2 -1] [-2 2 0 1 -1 2 -2 4 0 -2 0 -1 0 0 -1 0 -1 0 0 0 -2 0] [-1 -1 1 -2 -1 0 2 0 6 2 -1 2 -1 -1 0 -1 -1 -1 1 3 2 0] [ 2 -1 0 -1 -1 -2 2 -2 2 6 -1 2 -1 -1 1 -1 2 -2 0 2 3 -1] [ 1 1 -2 0 1 0 -1 0 -1 -1 4 -1 0 0 1 0 0 0 -1 0 1 0] [ 1 -2 1 -1 0 -2 2 -1 2 2 -1 4 0 1 1 0 0 0 1 1 2 -1] [-2 2 1 -1 -1 0 0 0 -1 -1 0 0 6 -1 1 -1 0 2 0 0 -1 0] [ 1 -1 0 0 0 0 1 0 -1 -1 0 1 -1 4 -1 2 0 0 0 -1 0 -2] [ 1 0 0 1 1 -1 1 -1 0 1 1 1 1 -1 4 0 0 0 1 0 2 1] [ 1 -1 0 1 1 -1 1 0 -1 -1 0 0 -1 2 0 4 0 0 0 -1 0 0] [ 1 0 0 -1 -2 -1 0 -1 -1 2 0 0 0 0 0 0 4 -1 0 0 2 0] [ 0 0 -1 -1 1 0 0 0 -1 -2 0 0 2 0 0 0 -1 4 1 -1 -1 0] [ 1 -1 0 0 -1 0 1 0 1 0 -1 1 0 0 1 0 0 1 4 -1 1 0] [-1 0 1 -1 -1 0 1 0 3 2 0 1 0 -1 0 -1 0 -1 -1 4 2 0] [ 2 -1 0 -1 -1 -2 2 -2 2 3 1 2 -1 0 2 0 2 -1 1 2 6 -1] [-1 0 1 1 1 0 -1 0 0 -1 0 -1 0 -2 1 0 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 742. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 -2 -1 -2 1 0 -1 0 -1 1 -2 1 2 -2 1 -2 -2 0] [ 0 4 -1 1 2 1 2 1 2 1 -2 -1 -1 -1 0 -2 0 1 -1 -1 0 -2] [ 0 -1 4 -2 -1 0 0 -1 0 0 -1 -1 1 1 0 0 1 -1 2 1 -1 -1] [ 0 1 -2 4 2 0 0 1 1 -1 -1 0 -1 -1 -1 0 -1 2 -1 -2 0 1] [ 1 2 -1 2 4 -1 1 0 2 1 -1 -1 -2 0 -2 0 1 1 -1 -2 0 -1] [-2 1 0 0 -1 4 2 2 0 0 -1 -1 1 0 2 -1 -2 2 0 0 0 -1] [-1 2 0 0 1 2 4 1 0 0 -2 -2 -1 0 1 -2 -1 1 0 0 0 -2] [-2 1 -1 1 0 2 1 4 1 0 1 -1 1 0 1 0 -2 3 -1 -1 1 0] [ 1 2 0 1 2 0 0 1 4 1 -1 -1 -1 0 -1 0 1 1 0 -2 -1 -1] [ 0 1 0 -1 1 0 0 0 1 4 1 -1 -1 0 0 0 0 -1 0 1 0 -1] [-1 -2 -1 -1 -1 -1 -2 1 -1 1 6 2 1 0 0 1 0 -1 -2 2 1 1] [ 0 -1 -1 0 -1 -1 -2 -1 -1 -1 2 4 0 -1 0 0 1 -1 -1 1 0 1] [-1 -1 1 -1 -2 1 -1 1 -1 -1 1 0 4 1 1 1 -1 1 0 0 1 0] [ 1 -1 1 -1 0 0 0 0 0 0 0 -1 1 4 -1 2 1 -1 0 0 -1 0] [-2 0 0 -1 -2 2 1 1 -1 0 0 0 1 -1 4 -1 -2 0 0 1 1 0] [ 1 -2 0 0 0 -1 -2 0 0 0 1 0 1 2 -1 4 1 0 0 -1 0 2] [ 2 0 1 -1 1 -2 -1 -2 1 0 0 1 -1 1 -2 1 4 -2 0 0 -1 0] [-2 1 -1 2 1 2 1 3 1 -1 -1 -1 1 -1 0 0 -2 6 0 -2 2 0] [ 1 -1 2 -1 -1 0 0 -1 0 0 -2 -1 0 0 0 0 0 0 4 -1 -1 0] [-2 -1 1 -2 -2 0 0 -1 -2 1 2 1 0 0 1 -1 0 -2 -1 6 1 0] [-2 0 -1 0 0 0 0 1 -1 0 1 0 1 -1 1 0 -1 2 -1 1 4 0] [ 0 -2 -1 1 -1 -1 -2 0 -1 -1 1 1 0 0 0 2 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 743. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 1 1 1 0 2 -2 1 0 1 0 -1 -2 1 -1 -1 1 -1 1] [ 1 4 -2 0 1 2 0 -1 1 -2 1 -1 -1 -1 1 -1 1 0 1 0 -2 -1] [-2 -2 4 0 -1 0 -1 1 -1 2 0 1 1 0 0 1 0 0 0 0 1 0] [-1 0 0 4 -2 0 -1 -1 -1 0 -2 1 -2 -1 0 0 0 2 0 -2 1 -1] [ 1 1 -1 -2 4 0 0 1 0 0 2 -2 0 1 1 -1 1 -2 -1 2 -1 1] [ 1 2 0 0 0 4 -1 -1 1 -2 1 1 -1 0 1 0 2 0 1 0 -1 0] [ 1 0 -1 -1 0 -1 4 -1 0 0 1 0 2 0 0 0 -1 -1 0 1 -1 1] [ 0 -1 1 -1 1 -1 -1 4 1 1 1 -1 1 0 0 -1 -1 -1 0 1 1 1] [ 2 1 -1 -1 0 1 0 1 4 -1 0 -1 0 -1 0 -2 1 0 0 0 0 1] [-2 -2 2 0 0 -2 0 1 -1 4 -1 0 0 0 0 1 -1 0 -1 0 1 0] [ 1 1 0 -2 2 1 1 1 0 -1 4 0 2 1 1 -1 0 -2 1 2 -1 1] [ 0 -1 1 1 -2 1 0 -1 -1 0 0 4 0 1 0 1 -1 0 1 0 1 -1] [ 1 -1 1 -2 0 -1 2 1 0 0 2 0 6 -1 -2 0 -1 -2 -1 2 0 2] [ 0 -1 0 -1 1 0 0 0 -1 0 1 1 -1 4 1 0 -1 0 1 0 1 0] [-1 1 0 0 1 1 0 0 0 0 1 0 -2 1 4 0 0 -1 1 0 0 0] [-2 -1 1 0 -1 0 0 -1 -2 1 -1 1 0 0 0 4 0 0 0 0 0 0] [ 1 1 0 0 1 2 -1 -1 1 -1 0 -1 -1 -1 0 0 4 0 -1 0 -1 1] [-1 0 0 2 -2 0 -1 -1 0 0 -2 0 -2 0 -1 0 0 4 1 -2 1 -1] [-1 1 0 0 -1 1 0 0 0 -1 1 1 -1 1 1 0 -1 1 4 -1 0 -1] [ 1 0 0 -2 2 0 1 1 0 0 2 0 2 0 0 0 0 -2 -1 4 0 1] [-1 -2 1 1 -1 -1 -1 1 0 1 -1 1 0 1 0 0 -1 1 0 0 4 0] [ 1 -1 0 -1 1 0 1 1 1 0 1 -1 2 0 0 0 1 -1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 744. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 0 1 2 -2 1 1 1 -1 1 -2 1 0 -1 2 0 1 0 1] [ 2 4 0 -2 1 1 0 -1 0 -1 0 -1 1 0 2 -1 -1 2 1 0 -1 0] [ 1 0 4 1 -1 1 0 -2 2 1 0 1 1 0 1 1 1 -1 1 0 0 2] [-1 -2 1 4 -1 -1 0 0 0 0 0 1 0 -1 -2 0 0 -2 -1 0 0 1] [ 0 1 -1 -1 4 0 0 1 -1 -2 0 -1 1 -1 2 1 1 0 0 0 0 0] [ 1 1 1 -1 0 4 -1 0 0 -1 -1 0 1 0 1 0 1 1 0 -1 0 1] [ 2 0 0 0 0 -1 4 0 1 1 2 0 -1 -2 -1 1 -1 0 -1 2 1 1] [-2 -1 -2 0 1 0 0 4 -2 -1 0 1 -1 0 -1 1 1 -1 -1 0 0 0] [ 1 0 2 0 -1 0 1 -2 4 0 1 0 1 1 0 1 0 0 0 1 0 1] [ 1 -1 1 0 -2 -1 1 -1 0 6 2 2 -1 1 1 0 1 0 2 2 2 0] [ 1 0 0 0 0 -1 2 0 1 2 4 0 0 -1 1 1 0 0 0 2 1 1] [-1 -1 1 1 -1 0 0 1 0 2 0 4 0 1 -1 0 2 -1 1 0 0 0] [ 1 1 1 0 1 1 -1 -1 1 -1 0 0 4 -1 2 0 1 0 1 0 -1 1] [-2 0 0 -1 -1 0 -2 0 1 1 -1 1 -1 6 0 0 1 0 1 0 1 -1] [ 1 2 1 -2 2 1 -1 -1 0 1 1 -1 2 0 6 0 1 0 3 1 0 1] [ 0 -1 1 0 1 0 1 1 1 0 1 0 0 0 0 4 2 -1 -1 1 1 2] [-1 -1 1 0 1 1 -1 1 0 1 0 2 1 1 1 2 4 -1 1 0 1 1] [ 2 2 -1 -2 0 1 0 -1 0 0 0 -1 0 0 0 -1 -1 4 0 0 0 -1] [ 0 1 1 -1 0 0 -1 -1 0 2 0 1 1 1 3 -1 1 0 4 0 0 0] [ 1 0 0 0 0 -1 2 0 1 2 2 0 0 0 1 1 0 0 0 4 2 1] [ 0 -1 0 0 0 0 1 0 0 2 1 0 -1 1 0 1 1 0 0 2 4 0] [ 1 0 2 1 0 1 1 0 1 0 1 0 1 -1 1 2 1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 745. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 2 1 1 2 2 -1 1 -1 0 1 0 1 -1 0 -1 1 0 2] [ 2 4 2 2 2 1 0 0 1 0 1 1 0 -1 0 0 -1 1 -1 2 0 1] [ 2 2 4 0 0 0 1 1 2 0 0 0 1 1 0 -1 0 0 -1 0 -1 2] [ 2 2 0 4 2 2 -1 0 1 0 0 0 -1 -1 -1 1 -1 0 -1 2 0 0] [ 2 2 0 2 4 1 -1 0 1 0 0 0 -1 -1 0 1 -2 0 -1 2 0 0] [ 1 1 0 2 1 4 -2 0 2 0 0 0 1 1 1 -1 1 0 -2 1 0 0] [ 1 0 1 -1 -1 -2 4 2 0 -1 1 -1 0 0 0 1 -1 1 1 -1 0 2] [ 2 0 1 0 0 0 2 4 2 0 1 -1 1 2 0 1 0 1 -1 0 -1 2] [ 2 1 2 1 1 2 0 2 6 -1 1 -1 2 3 0 -1 1 1 -2 1 -1 2] [-1 0 0 0 0 0 -1 0 -1 4 0 0 -1 -1 -1 -1 0 -1 -1 0 0 -1] [ 1 1 0 0 0 0 1 1 1 0 4 0 0 1 0 0 0 1 0 0 1 1] [-1 1 0 0 0 0 -1 -1 -1 0 0 4 1 0 1 -1 0 0 1 0 -1 -1] [ 0 0 1 -1 -1 1 0 1 2 -1 0 1 4 2 1 -1 2 0 -1 -1 -1 1] [ 1 -1 1 -1 -1 1 0 2 3 -1 1 0 2 6 2 -1 2 1 0 -1 0 2] [ 0 0 0 -1 0 1 0 0 0 -1 0 1 1 2 4 0 0 0 1 0 1 1] [ 1 0 -1 1 1 -1 1 1 -1 -1 0 -1 -1 -1 0 4 -2 0 1 1 1 1] [-1 -1 0 -1 -2 1 -1 0 1 0 0 0 2 2 0 -2 4 0 -1 -1 0 0] [ 0 1 0 0 0 0 1 1 1 -1 1 0 0 1 0 0 0 4 0 1 0 1] [-1 -1 -1 -1 -1 -2 1 -1 -2 -1 0 1 -1 0 1 1 -1 0 4 -1 1 0] [ 1 2 0 2 2 1 -1 0 1 0 0 0 -1 -1 0 1 -1 1 -1 4 1 0] [ 0 0 -1 0 0 0 0 -1 -1 0 1 -1 -1 0 1 1 0 0 1 1 4 0] [ 2 1 2 0 0 0 2 2 2 -1 1 -1 1 2 1 1 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 746. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 -2 -1 -2 0 2 0 2 1 1 0 2 2 2 1 1 0 1 0] [ 1 4 -1 1 0 -2 -2 1 2 -1 -1 0 1 0 0 -1 -1 0 -1 1 0 1] [ 0 -1 4 -2 0 1 1 -2 0 0 1 0 0 1 1 2 0 0 -1 -2 -1 1] [-2 1 -2 6 1 1 0 0 0 -1 -3 0 0 -1 -1 -3 -1 -2 -1 0 0 1] [-2 0 0 1 4 -1 1 0 0 1 0 -2 0 0 -2 0 -2 -1 0 0 0 0] [-1 -2 1 1 -1 4 2 -2 -1 -1 -1 0 -1 0 0 -1 1 -1 -1 -1 -1 0] [-2 -2 1 0 1 2 4 -2 -1 1 -1 -1 -1 0 -1 -1 0 0 -1 -1 -1 0] [ 0 1 -2 0 0 -2 -2 4 -1 0 0 1 0 -1 -1 0 -1 0 1 2 1 0] [ 2 2 0 0 0 -1 -1 -1 4 0 1 -1 1 1 1 1 0 1 -1 0 1 1] [ 0 -1 0 -1 1 -1 1 0 0 4 2 -1 -1 1 -1 1 0 1 1 -1 1 -1] [ 2 -1 1 -3 0 -1 -1 0 1 2 6 0 1 0 1 2 2 2 2 -1 0 0] [ 1 0 0 0 -2 0 -1 1 -1 -1 0 4 0 -1 1 0 1 1 0 0 0 1] [ 1 1 0 0 0 -1 -1 0 1 -1 1 0 4 -2 0 1 1 1 0 -1 0 0] [ 0 0 1 -1 0 0 0 -1 1 1 0 -1 -2 4 0 1 -1 0 -1 0 1 0] [ 2 0 1 -1 -2 0 -1 -1 1 -1 1 1 0 0 4 0 1 0 1 0 -1 1] [ 2 -1 2 -3 0 -1 -1 0 1 1 2 0 1 1 0 6 1 1 0 -1 2 0] [ 2 -1 0 -1 -2 1 0 -1 0 0 2 1 1 -1 1 1 4 1 1 -1 0 0] [ 1 0 0 -2 -1 -1 0 0 1 1 2 1 1 0 0 1 1 4 0 0 1 0] [ 1 -1 -1 -1 0 -1 -1 1 -1 1 2 0 0 -1 1 0 1 0 4 0 0 -1] [ 0 1 -2 0 0 -1 -1 2 0 -1 -1 0 -1 0 0 -1 -1 0 0 4 1 0] [ 1 0 -1 0 0 -1 -1 1 1 1 0 0 0 1 -1 2 0 1 0 1 4 -1] [ 0 1 1 1 0 0 0 0 1 -1 0 1 0 0 1 0 0 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 747. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 -1 -1 0 1 -1 1 -1 0 1 1 2 0 2 1 0 -1 0 2] [ 2 4 0 2 -1 -1 0 1 0 0 0 1 1 1 1 1 0 2 1 0 1 1] [ 2 0 4 -1 -1 0 -1 1 0 1 0 -1 1 1 0 -1 1 -1 -1 0 0 0] [ 1 2 -1 4 1 -1 1 -1 1 0 0 0 0 1 0 0 -1 2 0 0 0 1] [-1 -1 -1 1 4 -1 0 -2 0 -1 -1 0 0 1 -1 1 -1 0 -1 -1 -1 -1] [-1 -1 0 -1 -1 4 1 0 0 -1 0 0 -2 -1 1 -2 1 -1 -1 0 -1 -1] [ 0 0 -1 1 0 1 4 0 1 -1 -1 -1 -1 -1 2 -1 0 -1 -1 -1 -1 0] [ 1 1 1 -1 -2 0 0 4 1 0 -1 -1 1 -1 2 0 0 0 1 -1 0 1] [-1 0 0 1 0 0 1 1 4 0 0 -2 1 0 -1 0 -2 0 -1 0 -1 0] [ 1 0 1 0 -1 -1 -1 0 0 4 0 -1 1 1 -1 0 1 1 1 0 1 1] [-1 0 0 0 -1 0 -1 -1 0 0 4 0 0 -1 -1 0 -1 0 0 2 1 0] [ 0 1 -1 0 0 0 -1 -1 -2 -1 0 4 0 0 -1 0 1 1 1 0 0 -1] [ 1 1 1 0 0 -2 -1 1 1 1 0 0 4 0 0 1 0 0 1 0 0 1] [ 1 1 1 1 1 -1 -1 -1 0 1 -1 0 0 4 -2 1 0 1 -1 0 1 0] [ 2 1 0 0 -1 1 2 2 -1 -1 -1 -1 0 -2 6 -1 1 -1 1 -1 -1 2] [ 0 1 -1 0 1 -2 -1 0 0 0 0 0 1 1 -1 4 0 1 0 0 1 1] [ 2 0 1 -1 -1 1 0 0 -2 1 -1 1 0 0 1 0 4 0 0 -1 0 1] [ 1 2 -1 2 0 -1 -1 0 0 1 0 1 0 1 -1 1 0 4 1 0 1 1] [ 0 1 -1 0 -1 -1 -1 1 -1 1 0 1 1 -1 1 0 0 1 4 0 1 1] [-1 0 0 0 -1 0 -1 -1 0 0 2 0 0 0 -1 0 -1 0 0 4 2 0] [ 0 1 0 0 -1 -1 -1 0 -1 1 1 0 0 1 -1 1 0 1 1 2 4 0] [ 2 1 0 1 -1 -1 0 1 0 1 0 -1 1 0 2 1 1 1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 748. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 0 -1 0 1 0 2 0 0 1 -1 1 1 2 1 0 -2 1] [-2 4 -2 2 1 0 0 0 1 0 -1 0 0 0 0 -2 -1 -2 -1 -1 1 1] [ 2 -2 4 -2 -1 1 0 0 -1 1 1 0 -1 1 1 1 1 2 0 -1 -1 0] [-2 2 -2 4 2 -1 -1 -1 0 -1 -2 0 0 -1 -1 -2 -1 -2 -1 1 2 0] [-1 1 -1 2 4 -2 -2 -2 0 -2 -1 0 0 1 1 -1 1 -1 -2 2 1 0] [ 0 0 1 -1 -2 4 1 2 1 1 0 -1 -1 -1 -1 -1 -1 0 0 -1 -1 1] [-1 0 0 -1 -2 1 4 2 0 2 1 -1 1 0 0 0 0 0 0 -2 -1 -1] [ 0 0 0 -1 -2 2 2 4 0 2 0 0 0 0 -1 -1 0 -1 0 -2 -2 0] [ 1 1 -1 0 0 1 0 0 4 -1 1 -1 1 0 -2 -1 -1 0 0 1 -1 2] [ 0 0 1 -1 -2 1 2 2 -1 4 1 1 0 0 1 0 0 0 1 -2 0 0] [ 2 -1 1 -2 -1 0 1 0 1 1 4 0 0 1 1 1 1 2 1 -1 -2 1] [ 0 0 0 0 0 -1 -1 0 -1 1 0 4 -1 1 2 1 1 0 1 1 1 1] [ 0 0 -1 0 0 -1 1 0 1 0 0 -1 4 -1 -2 0 0 0 1 1 1 0] [ 1 0 1 -1 1 -1 0 0 0 0 1 1 -1 4 2 0 2 1 -1 -1 -2 0] [-1 0 1 -1 1 -1 0 -1 -2 1 1 2 -2 2 6 2 1 0 0 0 1 0] [ 1 -2 1 -2 -1 -1 0 -1 -1 0 1 1 0 0 2 4 0 1 2 1 1 0] [ 1 -1 1 -1 1 -1 0 0 -1 0 1 1 0 2 1 0 4 1 -1 0 -1 0] [ 2 -2 2 -2 -1 0 0 -1 0 0 2 0 0 1 0 1 1 4 1 0 -1 0] [ 1 -1 0 -1 -2 0 0 0 0 1 1 1 1 -1 0 2 -1 1 4 0 1 1] [ 0 -1 -1 1 2 -1 -2 -2 1 -2 -1 1 1 -1 0 1 0 0 0 6 3 1] [-2 1 -1 2 1 -1 -1 -2 -1 0 -2 1 1 -2 1 1 -1 -1 1 3 6 0] [ 1 1 0 0 0 1 -1 0 2 0 1 1 0 0 0 0 0 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 749. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 -1 0 1 0 -1 0 -2 -1 -2 -1 1 -1 2 2 1 -2 -2 0] [ 0 4 0 0 0 2 -1 -1 -1 0 1 -1 1 2 0 -1 0 -1 -1 1 -1 2] [ 0 0 4 2 2 1 1 0 -1 0 0 0 0 0 -1 1 0 0 -1 0 2 1] [ 0 0 2 4 2 0 -1 1 0 -1 0 1 0 0 1 1 -1 0 -1 0 1 1] [-1 0 2 2 4 1 0 1 -1 -1 0 0 0 0 0 2 -1 -1 -1 1 2 1] [ 0 2 1 0 1 4 1 -1 0 -1 0 0 0 0 -1 1 1 -1 -1 1 -1 1] [ 1 -1 1 -1 0 1 4 0 0 -1 -2 -1 -1 -1 0 1 2 1 1 -1 0 0] [ 0 -1 0 1 1 -1 0 4 -1 0 0 -1 0 0 0 1 -1 -1 -1 1 0 1] [-1 -1 -1 0 -1 0 0 -1 4 -1 0 2 0 0 0 0 1 1 1 -1 -1 -1] [ 0 0 0 -1 -1 -1 -1 0 -1 4 0 -1 1 0 0 -1 0 0 0 0 0 0] [-2 1 0 0 0 0 -2 0 0 0 4 0 2 2 -2 0 -2 -2 -2 2 0 1] [-1 -1 0 1 0 0 -1 -1 2 -1 0 4 -1 0 0 1 -1 0 1 0 0 -1] [-2 1 0 0 0 0 -1 0 0 1 2 -1 4 1 -1 0 -1 -2 -2 1 1 1] [-1 2 0 0 0 0 -1 0 0 0 2 0 1 4 -1 0 -1 -1 -1 1 0 2] [ 1 0 -1 1 0 -1 0 0 0 0 -2 0 -1 -1 4 -1 0 1 2 -1 -1 0] [-1 -1 1 1 2 1 1 1 0 -1 0 1 0 0 -1 4 0 -1 -1 1 1 1] [ 2 0 0 -1 -1 1 2 -1 1 0 -2 -1 -1 -1 0 0 4 2 1 -2 -1 0] [ 2 -1 0 0 -1 -1 1 -1 1 0 -2 0 -2 -1 1 -1 2 4 2 -2 0 -1] [ 1 -1 -1 -1 -1 -1 1 -1 1 0 -2 1 -2 -1 2 -1 1 2 4 -2 -1 -1] [-2 1 0 0 1 1 -1 1 -1 0 2 0 1 1 -1 1 -2 -2 -2 4 1 1] [-2 -1 2 1 2 -1 0 0 -1 0 0 0 1 0 -1 1 -1 0 -1 1 6 -1] [ 0 2 1 1 1 1 0 1 -1 0 1 -1 1 2 0 1 0 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 750. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -2 1 0 -1 2 1 -1 1 0 0 -1 -1 -1 2 -1 -2 -1 -1] [ 1 4 1 0 1 2 -1 1 0 -1 -2 0 -1 0 -1 0 -2 2 1 -2 1 1] [ 2 1 4 -1 -2 1 0 -1 1 1 -2 1 -1 0 0 -1 -2 2 -1 -2 -1 -1] [ 1 0 -1 4 -1 0 0 1 0 1 1 0 0 -1 0 0 0 -1 0 1 0 -1] [-2 1 -2 -1 6 0 -2 1 0 -3 -1 0 1 -1 -2 0 1 -2 0 2 2 1] [ 1 2 1 0 0 4 1 -1 1 0 -2 1 0 0 0 1 -2 2 0 -2 -1 -1] [ 0 -1 0 0 -2 1 4 -1 -1 2 0 -1 -1 0 2 2 0 0 1 0 -1 -1] [-1 1 -1 1 1 -1 -1 4 -2 0 0 -1 -1 0 0 1 0 -1 1 1 2 2] [ 2 0 1 0 0 1 -1 -2 4 -1 -1 1 1 0 -1 -1 0 1 -2 -1 -1 -1] [ 1 -1 1 1 -3 0 2 0 -1 4 0 0 0 0 1 1 -1 1 0 -1 -1 -1] [-1 -2 -2 1 -1 -2 0 0 -1 0 4 -1 0 0 1 -1 2 -2 0 2 0 0] [ 1 0 1 0 0 1 -1 -1 1 0 -1 4 2 -1 -1 -1 0 2 0 -2 0 -1] [ 0 -1 -1 0 1 0 -1 -1 1 0 0 2 4 -1 -1 0 0 1 0 -1 0 -1] [ 0 0 0 -1 -1 0 0 0 0 0 0 -1 -1 4 1 0 0 1 -1 -1 0 1] [-1 -1 0 0 -2 0 2 0 -1 1 1 -1 -1 1 4 1 0 -1 0 0 0 0] [-1 0 -1 0 0 1 2 1 -1 1 -1 -1 0 0 1 4 0 0 1 0 0 1] [-1 -2 -2 0 1 -2 0 0 0 -1 2 0 0 0 0 0 4 -2 0 2 1 1] [ 2 2 2 -1 -2 2 0 -1 1 1 -2 2 1 1 -1 0 -2 6 1 -4 0 0] [-1 1 -1 0 0 0 1 1 -2 0 0 0 0 -1 0 1 0 1 4 -1 1 1] [-2 -2 -2 1 2 -2 0 1 -1 -1 2 -2 -1 -1 0 0 2 -4 -1 6 1 0] [-1 1 -1 0 2 -1 -1 2 -1 -1 0 0 0 0 0 0 1 0 1 1 4 1] [-1 1 -1 -1 1 -1 -1 2 -1 -1 0 -1 -1 1 0 1 1 0 1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 751. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 0 1 2 1 -1 1 -2 0 2 1 1 -1 1 -1 1] [ 1 4 -1 -2 0 2 1 1 0 1 2 0 0 0 -1 1 0 1 1 2 -1 2] [-1 -1 4 0 1 0 0 1 1 0 0 -1 1 1 -1 0 -2 -1 0 0 1 0] [-1 -2 0 4 -1 -2 -1 -2 0 -1 0 0 0 0 2 0 1 -1 1 -1 1 -1] [ 1 0 1 -1 4 0 0 1 2 2 0 -1 1 0 0 0 0 -1 0 0 1 1] [ 1 2 0 -2 0 4 2 0 -1 1 0 1 1 1 0 1 0 2 -1 2 -2 0] [ 2 1 0 -1 0 2 4 0 1 2 0 -1 2 -1 0 2 0 1 -2 1 -1 0] [ 0 1 1 -2 1 0 0 4 0 1 0 -1 1 -1 -2 0 -1 -1 0 0 1 2] [ 1 0 1 0 2 -1 1 0 4 1 0 -2 1 0 0 1 -1 -1 0 0 1 1] [ 2 1 0 -1 2 1 2 1 1 4 0 -1 2 -1 0 1 1 0 -1 0 0 1] [ 1 2 0 0 0 0 0 0 0 0 4 -1 0 -1 0 1 0 0 1 1 0 1] [-1 0 -1 0 -1 1 -1 -1 -2 -1 -1 4 -1 1 0 -1 0 0 1 1 0 -1] [ 1 0 1 0 1 1 2 1 1 2 0 -1 4 0 1 2 0 -1 -1 0 1 0] [-2 0 1 0 0 1 -1 -1 0 -1 -1 1 0 4 1 -1 -1 0 1 0 0 -1] [ 0 -1 -1 2 0 0 0 -2 0 0 0 0 1 1 4 0 1 0 0 -1 0 -1] [ 2 1 0 0 0 1 2 0 1 1 1 -1 2 -1 0 4 0 1 -1 1 0 1] [ 1 0 -2 1 0 0 0 -1 -1 1 0 0 0 -1 1 0 4 1 0 -1 -1 -1] [ 1 1 -1 -1 -1 2 1 -1 -1 0 0 0 -1 0 0 1 1 4 -1 1 -2 0] [-1 1 0 1 0 -1 -2 0 0 -1 1 1 -1 1 0 -1 0 -1 4 0 1 1] [ 1 2 0 -1 0 2 1 0 0 0 1 1 0 0 -1 1 -1 1 0 4 0 1] [-1 -1 1 1 1 -2 -1 1 1 0 0 0 1 0 0 0 -1 -2 1 0 4 0] [ 1 2 0 -1 1 0 0 2 1 1 1 -1 0 -1 -1 1 -1 0 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 752. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 1 -1 1 1 -1 -1 -1 1 -2 1 1 -1 -1 1 -2 -2] [ 1 4 -2 2 1 1 -1 -1 0 2 0 -1 -1 1 1 0 2 1 -2 2 -2 1] [-1 -2 4 -2 -1 1 0 2 0 -2 0 0 0 0 0 -1 -1 0 1 -2 0 1] [ 1 2 -2 4 2 -1 0 0 -1 2 1 0 -1 0 1 0 2 0 -2 2 -2 0] [ 2 1 -1 2 4 -2 0 0 1 1 -1 0 -2 0 -1 0 1 0 -1 1 -1 0] [-1 1 1 -1 -2 4 0 0 -1 0 0 -1 0 0 1 0 0 1 -1 0 0 1] [ 1 -1 0 0 0 0 4 0 0 1 -1 1 0 1 -1 1 -1 -1 -1 1 0 0] [-1 -1 2 0 0 0 0 4 -1 -1 0 0 0 -1 1 -2 -1 1 0 -1 0 0] [ 1 0 0 -1 1 -1 0 -1 4 0 0 0 -1 1 -1 0 1 0 1 0 1 1] [ 1 2 -2 2 1 0 1 -1 0 4 0 1 0 0 0 0 1 1 -2 2 -1 1] [-1 0 0 1 -1 0 -1 0 0 0 4 0 1 -1 1 -1 1 1 1 0 -1 1] [-1 -1 0 0 0 -1 1 0 0 1 0 4 0 -1 1 1 -1 -1 0 -1 0 0] [-1 -1 0 -1 -2 0 0 0 -1 0 1 0 4 -1 0 -1 -2 1 1 0 1 0] [ 1 1 0 0 0 0 1 -1 1 0 -1 -1 -1 4 -1 1 1 -1 -1 1 0 1] [-2 1 0 1 -1 1 -1 1 -1 0 1 1 0 -1 4 -1 0 0 0 0 -1 1] [ 1 0 -1 0 0 0 1 -2 0 0 -1 1 -1 1 -1 4 1 -2 -1 0 0 -1] [ 1 2 -1 2 1 0 -1 -1 1 1 1 -1 -2 1 0 1 4 0 -1 1 -1 1] [-1 1 0 0 0 1 -1 1 0 1 1 -1 1 -1 0 -2 0 4 0 1 1 2] [-1 -2 1 -2 -1 -1 -1 0 1 -2 1 0 1 -1 0 -1 -1 0 4 -2 1 0] [ 1 2 -2 2 1 0 1 -1 0 2 0 -1 0 1 0 0 1 1 -2 4 0 1] [-2 -2 0 -2 -1 0 0 0 1 -1 -1 0 1 0 -1 0 -1 1 1 0 6 0] [-2 1 1 0 0 1 0 0 1 1 1 0 0 1 1 -1 1 2 0 1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 753. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 -1 1 1 1 -2 1 -1 1 1 -1 -1 -1 2 0 1] [ 1 4 -1 0 -1 2 1 -2 0 -1 2 0 0 0 -1 0 0 -2 -2 1 1 0] [-1 -1 4 -1 0 0 0 0 1 0 0 1 -2 -1 0 1 -1 0 0 0 1 -2] [-1 0 -1 4 -1 0 0 1 -2 0 0 0 0 2 -2 -1 2 1 0 -1 -1 1] [ 1 -1 0 -1 4 -1 1 -1 0 2 -1 -1 -1 0 0 1 0 -1 1 0 -1 0] [ 1 2 0 0 -1 4 2 -2 0 -1 0 -1 0 0 0 0 0 0 -2 1 0 0] [ 2 1 0 0 1 2 4 -1 0 1 0 -2 0 0 0 0 0 0 -1 2 0 0] [-1 -2 0 1 -1 -2 -1 4 -1 0 -1 1 1 1 0 0 0 2 1 0 0 1] [ 1 0 1 -2 0 0 0 -1 4 -1 1 -1 1 -1 2 1 -2 -1 -1 1 0 -1] [ 1 -1 0 0 2 -1 1 0 -1 4 0 0 0 0 -1 1 1 0 1 0 0 1] [ 1 2 0 0 -1 0 0 -1 1 0 4 1 0 -1 0 1 0 -2 -1 1 1 -1] [-2 0 1 0 -1 -1 -2 1 -1 0 1 4 -1 0 -1 1 1 0 1 -1 1 -1] [ 1 0 -2 0 -1 0 0 1 1 0 0 -1 4 1 1 0 0 1 0 1 -1 2] [-1 0 -1 2 0 0 0 1 -1 0 -1 0 1 4 -2 -1 1 1 1 0 -2 1] [ 1 -1 0 -2 0 0 0 0 2 -1 0 -1 1 -2 4 0 -2 0 0 1 0 -1] [ 1 0 1 -1 1 0 0 0 1 1 1 1 0 -1 0 4 0 -1 -1 0 0 0] [-1 0 -1 2 0 0 0 0 -2 1 0 1 0 1 -2 0 4 0 1 -1 -1 1] [-1 -2 0 1 -1 0 0 2 -1 0 -2 0 1 1 0 -1 0 4 1 0 0 1] [-1 -2 0 0 1 -2 -1 1 -1 1 -1 1 0 1 0 -1 1 1 4 -1 -1 0] [ 2 1 0 -1 0 1 2 0 1 0 1 -1 1 0 1 0 -1 0 -1 4 1 0] [ 0 1 1 -1 -1 0 0 0 0 0 1 1 -1 -2 0 0 -1 0 -1 1 4 -1] [ 1 0 -2 1 0 0 0 1 -1 1 -1 -1 2 1 -1 0 1 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 754. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 1 -1 -1 -2 -2 -2 -1 1 -1 -2 2 1 -1 1 -2 -1 1] [ 0 4 -1 -1 1 -1 -1 2 1 1 2 1 1 2 2 0 -2 1 1 1 -2 0] [ 1 -1 4 0 0 1 0 0 0 -2 -1 0 1 0 0 1 0 -2 0 0 1 0] [ 2 -1 0 4 -2 1 0 -1 -2 -2 -1 -1 0 -1 -3 2 0 -1 1 -2 1 1] [-2 1 0 -2 4 0 1 2 2 2 2 2 -1 1 2 -2 0 0 0 2 0 0] [ 1 -1 1 1 0 4 -1 0 0 -1 -1 0 1 0 -2 0 1 -2 -1 -1 1 2] [-1 -1 0 0 1 -1 4 -1 1 1 1 1 -1 -1 0 0 -1 1 1 1 2 0] [-1 2 0 -1 2 0 -1 4 1 1 1 1 1 2 1 -1 0 0 0 1 0 0] [-2 1 0 -2 2 0 1 1 4 2 2 2 0 2 2 -2 -2 0 0 2 0 0] [-2 1 -2 -2 2 -1 1 1 2 4 2 1 -1 1 1 -2 0 1 0 1 -1 -1] [-2 2 -1 -1 2 -1 1 1 2 2 4 2 0 1 2 -1 -2 1 0 1 -1 -1] [-1 1 0 -1 2 0 1 1 2 1 2 4 0 1 1 -2 -2 0 1 1 1 1] [ 1 1 1 0 -1 1 -1 1 0 -1 0 0 4 0 -1 1 -1 -1 0 0 0 1] [-1 2 0 -1 1 0 -1 2 2 1 1 1 0 4 1 -1 -1 0 0 1 0 0] [-2 2 0 -3 2 -2 0 1 2 1 2 1 -1 1 6 -2 -2 1 0 2 -2 -1] [ 2 0 1 2 -2 0 0 -1 -2 -2 -1 -2 1 -1 -2 4 0 0 0 -1 0 0] [ 1 -2 0 0 0 1 -1 0 -2 0 -2 -2 -1 -1 -2 0 6 0 -1 -1 -1 -1] [-1 1 -2 -1 0 -2 1 0 0 1 1 0 -1 0 1 0 0 4 0 1 0 -1] [ 1 1 0 1 0 -1 1 0 0 0 0 1 0 0 0 0 -1 0 4 0 0 1] [-2 1 0 -2 2 -1 1 1 2 1 1 1 0 1 2 -1 -1 1 0 4 1 0] [-1 -2 1 1 0 1 2 0 0 -1 -1 1 0 0 -2 0 -1 0 0 1 6 1] [ 1 0 0 1 0 2 0 0 0 -1 -1 1 1 0 -1 0 -1 -1 1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 755. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 1 1 -1 -1 1 1 -1 1 -2 -1 -1 1 1 -1 1 1] [ 1 4 0 2 1 2 1 1 0 -1 2 0 -1 1 -1 -1 -1 1 0 -1 0 -1] [-1 0 4 1 -2 -2 1 1 0 1 -1 0 0 1 -1 1 2 -2 1 2 0 0] [ 1 2 1 4 1 0 0 0 0 -1 2 0 -1 1 0 -1 -1 1 1 -1 1 0] [ 1 1 -2 1 4 2 0 0 1 0 2 0 0 0 1 -1 -2 2 0 -2 0 -1] [ 2 2 -2 0 2 6 2 2 -1 0 3 2 1 1 -2 -2 0 2 1 -2 0 0] [ 1 1 1 0 0 2 4 1 0 0 0 0 1 2 -1 -1 1 0 2 0 -1 1] [ 1 1 1 0 0 2 1 4 0 0 0 1 1 0 -3 -1 1 0 1 0 1 -1] [-1 0 0 0 1 -1 0 0 4 0 -1 -2 1 0 2 1 -1 -1 -1 1 -1 -1] [-1 -1 1 -1 0 0 0 0 0 4 1 0 1 1 1 1 2 -1 0 1 -1 0] [ 1 2 -1 2 2 3 0 0 -1 1 6 0 0 2 1 -1 0 2 1 -2 1 -1] [ 1 0 0 0 0 2 0 1 -2 0 0 4 0 -1 -3 0 0 0 0 0 1 0] [-1 -1 0 -1 0 1 1 1 1 1 0 0 4 0 0 0 1 -1 0 0 0 0] [ 1 1 1 1 0 1 2 0 0 1 2 -1 0 4 0 0 1 0 1 0 0 1] [-2 -1 -1 0 1 -2 -1 -3 2 1 1 -3 0 0 6 0 -1 0 0 0 -2 0] [-1 -1 1 -1 -1 -2 -1 -1 1 1 -1 0 0 0 0 4 1 -2 -2 2 0 0] [-1 -1 2 -1 -2 0 1 1 -1 2 0 0 1 1 -1 1 4 -1 1 1 0 1] [ 1 1 -2 1 2 2 0 0 -1 -1 2 0 -1 0 0 -2 -1 4 1 -2 1 0] [ 1 0 1 1 0 1 2 1 -1 0 1 0 0 1 0 -2 1 1 4 -1 0 1] [-1 -1 2 -1 -2 -2 0 0 1 1 -2 0 0 0 0 2 1 -2 -1 4 0 0] [ 1 0 0 1 0 0 -1 1 -1 -1 1 1 0 0 -2 0 0 1 0 0 4 -1] [ 1 -1 0 0 -1 0 1 -1 -1 0 -1 0 0 1 0 0 1 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 756. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 1 1 -1 0 1 1 1 -2 0 -1 -1 -1 -1 1 1 -2 -1 0] [ 2 4 -2 -1 -1 0 -1 -1 1 0 -1 -2 0 -1 -1 0 -1 2 1 -2 1 1] [-2 -2 4 1 1 -1 2 -1 -2 0 -1 2 1 1 2 1 0 0 -1 2 -1 0] [-2 -1 1 6 -3 -2 -1 -1 0 -2 -3 1 -1 -1 -2 -1 1 -1 -2 1 2 2] [ 1 -1 1 -3 6 1 2 2 0 1 3 1 2 2 1 2 1 -1 1 1 -1 -1] [ 1 0 -1 -2 1 4 1 2 -1 1 2 0 0 1 0 0 1 0 1 -1 -2 0] [-1 -1 2 -1 2 1 4 1 -1 0 1 1 2 2 1 2 0 0 1 1 -2 0] [ 0 -1 -1 -1 2 2 1 4 1 0 3 1 0 2 0 1 1 -2 0 0 0 0] [ 1 1 -2 0 0 -1 -1 1 4 -1 0 -1 0 -1 -2 0 0 0 1 -1 2 0] [ 1 0 0 -2 1 1 0 0 -1 4 1 -1 -1 0 0 0 1 0 0 -1 -1 0] [ 1 -1 -1 -3 3 2 1 3 0 1 6 1 0 2 2 0 0 -2 0 0 -2 -2] [-2 -2 2 1 1 0 1 1 -1 -1 1 4 1 1 1 0 1 -1 -1 1 -1 -1] [ 0 0 1 -1 2 0 2 0 0 -1 0 1 4 0 1 1 0 0 2 1 -1 0] [-1 -1 1 -1 2 1 2 2 -1 0 2 1 0 4 1 2 0 -1 -1 1 0 0] [-1 -1 2 -2 1 0 1 0 -2 0 2 1 1 1 6 0 -2 -1 0 2 -2 -1] [-1 0 1 -1 2 0 2 1 0 0 0 0 1 2 0 4 1 0 0 1 1 1] [-1 -1 0 1 1 1 0 1 0 1 0 1 0 0 -2 1 4 -1 0 0 1 1] [ 1 2 0 -1 -1 0 0 -2 0 0 -2 -1 0 -1 -1 0 -1 4 1 -1 0 0] [ 1 1 -1 -2 1 1 1 0 1 0 0 -1 2 -1 0 0 0 1 4 -1 -1 0] [-2 -2 2 1 1 -1 1 0 -1 -1 0 1 1 1 2 1 0 -1 -1 4 1 0] [-1 1 -1 2 -1 -2 -2 0 2 -1 -2 -1 -1 0 -2 1 1 0 -1 1 6 1] [ 0 1 0 2 -1 0 0 0 0 0 -2 -1 0 0 -1 1 1 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 757. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 0 -1 2 0 -1 1 0 -1 -1 1 0 -2 -1 -2 0 0 -2 1] [-1 4 -2 0 1 0 0 0 2 1 1 2 -1 -1 1 1 0 0 -1 0 0 -1] [ 1 -2 4 -1 -1 1 0 -1 -2 -1 -1 -2 0 1 -1 -1 1 -1 -1 1 1 1] [ 2 0 -1 6 0 -1 1 2 -1 3 2 -1 0 2 2 -2 0 0 0 1 -1 2] [ 0 1 -1 0 4 1 0 -1 1 -1 2 1 1 -1 1 0 0 0 1 -2 -1 -1] [-1 0 1 -1 1 4 -1 -2 -1 -2 0 -1 2 0 1 0 2 1 0 -1 2 0] [ 2 0 0 1 0 -1 4 -1 1 2 0 -1 -2 1 -1 0 -1 -2 0 0 -2 0] [ 0 0 -1 2 -1 -2 -1 4 -1 1 0 0 -1 1 1 0 0 0 0 1 -1 0] [-1 2 -2 -1 1 -1 1 -1 6 2 1 1 0 -3 -1 2 -1 1 -1 0 1 -1] [ 1 1 -1 3 -1 -2 2 1 2 6 0 0 -1 1 0 1 0 0 0 1 -1 0] [ 0 1 -1 2 2 0 0 0 1 0 4 1 0 0 1 -1 -1 0 0 0 0 0] [-1 2 -2 -1 1 -1 -1 0 1 0 1 4 0 -1 0 1 -1 0 1 -1 -1 -1] [-1 -1 0 0 1 2 -2 -1 0 -1 0 0 4 -1 1 0 1 2 1 -1 2 1] [ 1 -1 1 2 -1 0 1 1 -3 1 0 -1 -1 4 1 -1 0 -1 1 0 -1 1] [ 0 1 -1 2 1 1 -1 1 -1 0 1 0 1 1 4 0 0 0 1 0 1 1] [-2 1 -1 -2 0 0 0 0 2 1 -1 1 0 -1 0 4 0 0 1 0 1 -1] [-1 0 1 0 0 2 -1 0 -1 0 -1 -1 1 0 0 0 4 1 -1 0 1 0] [-2 0 -1 0 0 1 -2 0 1 0 0 0 2 -1 0 0 1 4 0 0 2 0] [ 0 -1 -1 0 1 0 0 0 -1 0 0 1 1 1 1 1 -1 0 4 -2 -1 0] [ 0 0 1 1 -2 -1 0 1 0 1 0 -1 -1 0 0 0 0 0 -2 4 2 1] [-2 0 1 -1 -1 2 -2 -1 1 -1 0 -1 2 -1 1 1 1 2 -1 2 6 1] [ 1 -1 1 2 -1 0 0 0 -1 0 0 -1 1 1 1 -1 0 0 0 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 758. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 -2 0 2 0 2 0 1 -1 1 -2 -1 -1 -1 -1 -2 2] [ 1 4 0 -1 2 1 -1 0 0 0 -1 0 -1 0 2 -1 -2 -1 -1 1 0 1] [-1 0 4 -1 0 0 0 1 -1 1 1 -1 1 -1 -1 1 -1 1 -1 1 2 -1] [ 1 -1 -1 4 -1 1 -1 1 0 1 2 -1 0 0 1 0 0 -1 0 -1 -2 0] [ 1 2 0 -1 4 2 -2 1 0 0 1 1 0 1 2 -2 0 0 -1 0 -1 0] [ 2 1 0 1 2 4 -1 2 0 0 2 -1 0 -1 1 -1 0 0 -2 0 -2 0] [-2 -1 0 -1 -2 -1 4 0 -1 -1 -2 -1 0 -1 -1 2 1 0 1 0 2 -1] [ 0 0 1 1 1 2 0 4 -1 1 2 0 1 0 1 0 0 0 -1 0 0 -2] [ 2 0 -1 0 0 0 -1 -1 4 -1 1 1 0 0 -1 -1 0 0 1 0 -2 1] [ 0 0 1 1 0 0 -1 1 -1 4 2 0 1 0 2 -1 0 1 0 -1 1 -1] [ 2 -1 1 2 1 2 -2 2 1 2 6 -1 1 -1 0 -2 1 0 0 -1 -2 -1] [ 0 0 -1 -1 1 -1 -1 0 1 0 -1 4 0 2 0 -1 0 0 1 0 0 0] [ 1 -1 1 0 0 0 0 1 0 1 1 0 4 -1 1 0 0 1 0 -2 1 0] [-1 0 -1 0 1 -1 -1 0 0 0 -1 2 -1 4 0 0 0 0 0 0 -1 -1] [ 1 2 -1 1 2 1 -1 1 -1 2 0 0 1 0 6 -2 -1 -1 0 -1 0 1] [-2 -1 1 0 -2 -1 2 0 -1 -1 -2 -1 0 0 -2 4 0 1 0 0 1 -1] [-1 -2 -1 0 0 0 1 0 0 0 1 0 0 0 -1 0 4 1 1 -1 0 -1] [-1 -1 1 -1 0 0 0 0 0 1 0 0 1 0 -1 1 1 4 0 0 1 -1] [-1 -1 -1 0 -1 -2 1 -1 1 0 0 1 0 0 0 0 1 0 4 -1 0 0] [-1 1 1 -1 0 0 0 0 0 -1 -1 0 -2 0 -1 0 -1 0 -1 4 1 0] [-2 0 2 -2 -1 -2 2 0 -2 1 -2 0 1 -1 0 1 0 1 0 1 6 -1] [ 2 1 -1 0 0 0 -1 -2 1 -1 -1 0 0 -1 1 -1 -1 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 759. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 -1 1 1 1 0 1 1 -1 2 0 2 1 0 -1 1 1 1 1] [ 1 4 -1 -1 0 0 0 0 1 2 0 -1 1 1 1 1 -1 1 -1 2 2 -1] [-1 -1 4 2 1 -1 1 -2 0 -1 -1 1 0 -2 0 1 1 -1 -1 0 -1 0] [-2 -1 2 4 1 -1 -1 -1 -1 -1 0 1 -2 -1 -1 1 1 1 -1 0 -2 -1] [-1 0 1 1 4 0 0 0 1 1 0 -1 -1 -1 -1 0 0 0 -2 1 1 -1] [ 1 0 -1 -1 0 4 -1 2 -1 0 2 -1 1 2 2 0 1 0 0 0 -1 0] [ 1 0 1 -1 0 -1 4 -2 0 0 -1 1 0 -2 -1 0 0 -2 0 0 2 0] [ 1 0 -2 -1 0 2 -2 4 0 0 2 -2 0 1 2 0 0 1 0 0 -1 0] [ 0 1 0 -1 1 -1 0 0 4 0 0 -1 1 0 -1 1 -2 -1 0 0 2 -1] [ 1 2 -1 -1 1 0 0 0 0 4 -1 0 1 0 1 0 0 0 -1 2 2 1] [ 1 0 -1 0 0 2 -1 2 0 -1 4 -2 0 1 0 1 1 0 0 0 0 0] [-1 -1 1 1 -1 -1 1 -2 -1 0 -2 4 -1 -1 0 -1 1 0 1 0 -1 0] [ 2 1 0 -2 -1 1 0 0 1 1 0 -1 4 1 2 1 -1 -1 1 0 1 1] [ 0 1 -2 -1 -1 2 -2 1 0 0 1 -1 1 4 1 0 -1 1 1 0 0 0] [ 2 1 0 -1 -1 2 -1 2 -1 1 0 0 2 1 6 0 0 1 0 1 -2 0] [ 1 1 1 1 0 0 0 0 1 0 1 -1 1 0 0 4 0 -1 0 1 1 0] [ 0 -1 1 1 0 1 0 0 -2 0 1 1 -1 -1 0 0 4 0 0 1 -1 1] [-1 1 -1 1 0 0 -2 1 -1 0 0 0 -1 1 1 -1 0 4 0 1 -1 -1] [ 1 -1 -1 -1 -2 0 0 0 0 -1 0 1 1 1 0 0 0 0 4 -1 0 1] [ 1 2 0 0 1 0 0 0 0 2 0 0 0 0 1 1 1 1 -1 4 2 0] [ 1 2 -1 -2 1 -1 2 -1 2 2 0 -1 1 0 -2 1 -1 -1 0 2 6 0] [ 1 -1 0 -1 -1 0 0 0 -1 1 0 0 1 0 0 0 1 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 760. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 1 0 1 1 0 -1 -1 2 -1 -1 1 1 -2 0 1 2 2 -2 1] [ 1 4 1 2 1 1 2 -1 -2 -2 0 -2 -1 2 -1 1 1 2 -1 1 0 -1] [ 0 1 4 1 0 1 2 0 0 -2 1 -1 -2 -1 1 2 0 1 1 1 1 -1] [ 1 2 1 4 -1 2 1 -1 -1 -1 0 0 -2 1 -1 0 1 2 1 1 1 0] [ 0 1 0 -1 4 1 -1 -1 -1 -2 0 -2 0 0 -1 2 1 -1 -2 0 -1 0] [ 1 1 1 2 1 4 -1 0 0 -2 0 -1 -2 1 0 1 0 0 0 1 -1 0] [ 1 2 2 1 -1 -1 6 0 -2 0 1 -2 -1 0 0 0 0 3 2 1 2 -2] [ 0 -1 0 -1 -1 0 0 4 2 0 0 1 1 1 1 -2 0 0 1 0 -1 0] [-1 -2 0 -1 -1 0 -2 2 6 2 1 2 -1 0 1 0 0 -1 -1 1 1 0] [-1 -2 -2 -1 -2 -2 0 0 2 6 -1 2 1 0 0 0 0 0 1 -1 1 -1] [ 2 0 1 0 0 0 1 0 1 -1 4 0 -2 0 1 -1 -1 0 1 2 0 0] [-1 -2 -1 0 -2 -1 -2 1 2 2 0 4 1 0 0 -1 0 -1 1 -1 0 1] [-1 -1 -2 -2 0 -2 -1 1 -1 1 -2 1 4 0 0 -1 0 -1 0 -2 -1 1] [ 1 2 -1 1 0 1 0 1 0 0 0 0 0 4 0 -1 0 1 0 0 -1 0] [ 1 -1 1 -1 -1 0 0 1 1 0 1 0 0 0 4 0 -2 -1 2 1 0 1] [-2 1 2 0 2 1 0 -2 0 0 -1 -1 -1 -1 0 6 0 -1 -1 0 2 -1] [ 0 1 0 1 1 0 0 0 0 0 -1 0 0 0 -2 0 4 1 -1 0 0 0] [ 1 2 1 2 -1 0 3 0 -1 0 0 -1 -1 1 -1 -1 1 4 1 1 1 -1] [ 2 -1 1 1 -2 0 2 1 -1 1 1 1 0 0 2 -1 -1 1 6 0 0 1] [ 2 1 1 1 0 1 1 0 1 -1 2 -1 -2 0 1 0 0 1 0 4 1 0] [-2 0 1 1 -1 -1 2 -1 1 1 0 0 -1 -1 0 2 0 1 0 1 6 -1] [ 1 -1 -1 0 0 0 -2 0 0 -1 0 1 1 0 1 -1 0 -1 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 761. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 0 -1 -2 0 -2 0 0 0 0 1 0 1 1 0 -2 -1 0] [-2 4 -2 2 0 1 0 2 0 0 1 -1 1 0 0 0 0 1 0 2 -1 0] [ 2 -2 4 -2 -1 -1 0 -2 -1 0 -1 0 0 1 0 -1 1 -1 -1 -2 1 1] [-2 2 -2 4 2 1 1 2 -1 0 0 0 1 0 0 0 -1 -1 1 2 -1 0] [-2 0 -1 2 4 1 0 1 0 1 0 1 1 1 0 0 0 -2 0 1 0 -1] [ 0 1 -1 1 1 4 -2 1 -1 -1 0 1 2 0 1 -1 -1 1 1 1 0 -2] [-1 0 0 1 0 -2 4 0 -1 1 0 -1 0 0 -1 1 -1 0 1 0 1 2] [-2 2 -2 2 1 1 0 4 0 1 0 1 1 -1 -1 0 -1 1 0 2 -1 0] [ 0 0 -1 -1 0 -1 -1 0 4 1 0 0 -1 0 -1 0 1 1 -1 0 -1 -1] [-2 0 0 0 1 -1 1 1 1 4 0 0 0 1 -2 0 -1 -1 -1 1 2 1] [ 0 1 -1 0 0 0 0 0 0 0 4 0 0 1 1 0 1 -1 1 0 0 0] [ 0 -1 0 0 1 1 -1 1 0 0 0 4 1 -1 -1 0 0 -1 0 -1 -1 -1] [ 0 1 0 1 1 2 0 1 -1 0 0 1 4 0 0 0 0 1 1 1 0 0] [ 0 0 1 0 1 0 0 -1 0 1 1 -1 0 4 1 0 1 -2 -1 0 0 0] [ 1 0 0 0 0 1 -1 -1 -1 -2 1 -1 0 1 4 -1 0 0 1 0 -1 0] [ 0 0 -1 0 0 -1 1 0 0 0 0 0 0 0 -1 4 1 0 -1 0 -1 1] [ 1 0 1 -1 0 -1 -1 -1 1 -1 1 0 0 1 0 1 4 -1 -1 -1 -1 0] [ 1 1 -1 -1 -2 1 0 1 1 -1 -1 -1 1 -2 0 0 -1 6 1 1 0 0] [ 0 0 -1 1 0 1 1 0 -1 -1 1 0 1 -1 1 -1 -1 1 4 0 1 0] [-2 2 -2 2 1 1 0 2 0 1 0 -1 1 0 0 0 -1 1 0 4 1 0] [-1 -1 1 -1 0 0 1 -1 -1 2 0 -1 0 0 -1 -1 -1 0 1 1 6 0] [ 0 0 1 0 -1 -2 2 0 -1 1 0 -1 0 0 0 1 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 762. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 1 -1 1 -2 2 0 1 0 2 -1 -1 2 1 1 -2 -2 -1] [-2 4 -2 2 1 0 2 0 2 -2 -1 -1 -1 -2 0 0 -1 -1 -2 2 2 0] [ 2 -2 4 -2 -1 -1 -1 -1 -2 1 1 1 1 0 1 0 1 1 1 -2 0 -1] [-2 2 -2 4 2 1 0 -1 2 -2 -1 -1 -1 -2 -1 1 -2 -1 -2 2 1 0] [-1 1 -1 2 4 2 0 1 1 -1 -2 1 1 -1 -2 2 -1 1 -1 1 -1 0] [ 1 0 -1 1 2 6 -2 2 1 0 -2 0 -1 2 -4 2 -1 1 -1 1 0 1] [-1 2 -1 0 0 -2 6 2 0 -2 -2 -2 0 -2 0 -1 1 0 0 0 0 -1] [ 1 0 -1 -1 1 2 2 6 -1 1 -2 0 0 0 -1 0 2 2 1 -1 -2 -1] [-2 2 -2 2 1 1 0 -1 4 -1 0 -1 -1 0 -1 1 -2 -1 -2 2 1 1] [ 2 -2 1 -2 -1 0 -2 1 -1 4 1 2 1 1 0 0 1 0 1 -1 -2 -1] [ 0 -1 1 -1 -2 -2 -2 -2 0 1 4 0 0 0 2 -1 0 -1 0 0 0 1] [ 1 -1 1 -1 1 0 -2 0 -1 2 0 4 2 0 0 0 1 0 0 -1 -1 -1] [ 0 -1 1 -1 1 -1 0 0 -1 1 0 2 4 0 0 1 0 1 0 -1 -2 0] [ 2 -2 0 -2 -1 2 -2 0 0 1 0 0 0 6 -1 0 0 1 1 -1 -1 2] [-1 0 1 -1 -2 -4 0 -1 -1 0 2 0 0 -1 6 -2 0 -1 2 -1 1 0] [-1 0 0 1 2 2 -1 0 1 0 -1 0 1 0 -2 4 -1 1 -1 1 0 1] [ 2 -1 1 -2 -1 -1 1 2 -2 1 0 1 0 0 0 -1 4 1 1 -2 -1 -1] [ 1 -1 1 -1 1 1 0 2 -1 0 -1 0 1 1 -1 1 1 4 1 -1 -1 0] [ 1 -2 1 -2 -1 -1 0 1 -2 1 0 0 0 1 2 -1 1 1 4 -2 -1 0] [-2 2 -2 2 1 1 0 -1 2 -1 0 -1 -1 -1 -1 1 -2 -1 -2 4 2 1] [-2 2 0 1 -1 0 0 -2 1 -2 0 -1 -2 -1 1 0 -1 -1 -1 2 6 0] [-1 0 -1 0 0 1 -1 -1 1 -1 1 -1 0 2 0 1 -1 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 763. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 -2 -1 -1 2 -1 -1 1 1 -1 2 -1 0 -1 1 -1 -2 1 1] [-1 4 1 -1 2 1 1 -1 2 0 0 1 -1 1 -1 -1 0 -1 0 1 0 1] [ 0 1 4 -1 1 2 -1 -1 1 0 1 0 -1 1 -2 -1 1 -2 1 -1 1 1] [ 2 -1 -1 4 0 0 0 1 0 0 1 1 1 2 0 1 -2 0 -2 0 1 -1] [-2 2 1 0 4 1 0 -1 2 0 0 0 0 0 0 0 0 -2 0 1 0 0] [-1 1 2 0 1 4 1 -2 0 1 0 0 0 0 -1 -1 0 -2 0 1 0 0] [-1 1 -1 0 0 1 4 0 1 0 -1 -1 1 -1 1 1 0 0 0 2 -1 0] [ 2 -1 -1 1 -1 -2 0 4 -1 -2 0 0 -1 1 0 0 -1 2 -1 0 0 0] [-1 2 1 0 2 0 1 -1 6 1 0 1 1 -1 -1 2 -1 -1 2 -1 0 1] [-1 0 0 0 0 1 0 -2 1 4 -1 0 1 0 0 0 1 0 1 1 -1 0] [ 1 0 1 1 0 0 -1 0 0 -1 4 0 -1 2 -2 0 0 0 0 0 1 -1] [ 1 1 0 1 0 0 -1 0 1 0 0 4 -1 0 -1 0 -2 0 -1 -2 0 0] [-1 -1 -1 1 0 0 1 -1 1 1 -1 -1 4 -1 2 1 0 0 0 1 1 0] [ 2 1 1 2 0 0 -1 1 -1 0 2 0 -1 6 -2 -1 0 0 -2 1 2 0] [-1 -1 -2 0 0 -1 1 0 -1 0 -2 -1 2 -2 4 0 0 0 0 1 -1 0] [ 0 -1 -1 1 0 -1 1 0 2 0 0 0 1 -1 0 4 0 0 0 -1 0 0] [-1 0 1 -2 0 0 0 -1 -1 1 0 -2 0 0 0 0 4 0 1 1 0 1] [ 1 -1 -2 0 -2 -2 0 2 -1 0 0 0 0 0 0 0 0 4 0 1 0 0] [-1 0 1 -2 0 0 0 -1 2 1 0 -1 0 -2 0 0 1 0 4 -1 -1 1] [-2 1 -1 0 1 1 2 0 -1 1 0 -2 1 1 1 -1 1 1 -1 6 0 -1] [ 1 0 1 1 0 0 -1 0 0 -1 1 0 1 2 -1 0 0 0 -1 0 4 0] [ 1 1 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 764. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 -1 0 -1 -1 0 -1 -2 0 2 -1 0 1 1 2 -2 0 -2 -1] [ 1 4 -1 1 1 1 0 -2 -1 -2 -1 0 -1 -2 -1 2 0 2 -1 0 1 -2] [ 1 -1 4 -1 -2 1 -2 1 -1 0 0 -1 1 0 0 0 0 0 -1 -1 -1 -1] [ 0 1 -1 4 1 0 1 -1 -1 -1 -1 0 1 0 1 1 -1 0 1 0 -1 0] [-1 1 -2 1 4 -1 2 0 0 0 1 -1 -2 -1 0 -1 1 -1 2 -1 2 0] [ 0 1 1 0 -1 4 -2 1 -2 -2 0 -1 1 -1 -1 1 -2 0 -1 -1 -1 -2] [-1 0 -2 1 2 -2 4 -1 1 1 1 1 -2 1 0 -1 0 0 2 1 2 1] [-1 -2 1 -1 0 1 -1 4 -1 0 1 -1 1 1 1 -2 -1 -1 1 -1 -1 0] [ 0 -1 -1 -1 0 -2 1 -1 4 2 0 0 -1 1 1 -1 2 0 0 0 1 1] [-1 -2 0 -1 0 -2 1 0 2 4 1 0 0 2 1 -2 1 -1 1 0 0 1] [-2 -1 0 -1 1 0 1 1 0 1 4 -1 -1 0 -1 -2 0 -1 2 -1 1 0] [ 0 0 -1 0 -1 -1 1 -1 0 0 -1 4 -1 1 -1 1 -1 1 -1 2 0 1] [ 2 -1 1 1 -2 1 -2 1 -1 0 -1 -1 6 0 1 0 -1 0 -1 0 -4 0] [-1 -2 0 0 -1 -1 1 1 1 2 0 1 0 4 1 -1 -1 0 1 1 0 1] [ 0 -1 0 1 0 -1 0 1 1 1 -1 -1 1 1 4 -1 1 0 1 -1 -1 1] [ 1 2 0 1 -1 1 -1 -2 -1 -2 -2 1 0 -1 -1 4 0 1 -2 1 0 0] [ 1 0 0 -1 1 -2 0 -1 2 1 0 -1 -1 -1 1 0 4 0 0 -1 1 1] [ 2 2 0 0 -1 0 0 -1 0 -1 -1 1 0 0 0 1 0 4 -1 1 0 -1] [-2 -1 -1 1 2 -1 2 1 0 1 2 -1 -1 1 1 -2 0 -1 4 -1 1 1] [ 0 0 -1 0 -1 -1 1 -1 0 0 -1 2 0 1 -1 1 -1 1 -1 4 1 1] [-2 1 -1 -1 2 -1 2 -1 1 0 1 0 -4 0 -1 0 1 0 1 1 6 0] [-1 -2 -1 0 0 -2 1 0 1 1 0 1 0 1 1 0 1 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 765. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 -2 0 -2 0 -1 -2 0 0 2 -1 -2 -1 0 0 -2] [-2 4 -2 2 1 -1 1 2 1 0 0 0 2 1 1 -1 1 0 2 0 1 2] [ 2 -2 4 -2 -1 0 -1 -1 -1 -2 0 0 0 1 0 1 -1 0 -1 0 -1 -2] [-2 2 -2 4 1 0 2 1 0 2 -1 1 0 0 1 -2 0 0 2 -1 0 1] [ 0 1 -1 1 4 -1 2 1 0 1 -1 -1 -1 1 -1 0 0 -1 0 -1 0 2] [ 1 -1 0 0 -1 4 0 0 1 1 -1 -1 -2 -1 0 -1 1 -1 -1 -1 1 -2] [-1 1 -1 2 2 0 4 2 0 1 -2 -1 0 0 -1 -1 0 0 1 -2 0 2] [-2 2 -1 1 1 0 2 4 1 1 -1 0 2 1 -1 -2 1 1 1 -1 1 2] [ 0 1 -1 0 0 1 0 1 4 -1 1 -1 1 -1 0 0 2 0 1 1 1 -1] [-2 0 -2 2 1 1 1 1 -1 6 0 1 -2 -1 0 -2 0 1 -1 -2 -1 1] [ 0 0 0 -1 -1 -1 -2 -1 1 0 4 1 0 0 0 1 1 1 0 2 0 0] [-1 0 0 1 -1 -1 -1 0 -1 1 1 4 0 0 0 -1 -1 1 1 1 -1 1] [-2 2 0 0 -1 -2 0 2 1 -2 0 0 6 0 1 0 1 2 1 1 1 1] [ 0 1 1 0 1 -1 0 1 -1 -1 0 0 0 4 -1 -1 0 -1 1 0 0 1] [ 0 1 0 1 -1 0 -1 -1 0 0 0 0 1 -1 4 1 -1 0 0 0 0 -1] [ 2 -1 1 -2 0 -1 -1 -2 0 -2 1 -1 0 -1 1 4 -1 0 -1 1 0 0] [-1 1 -1 0 0 1 0 1 2 0 1 -1 1 0 -1 -1 4 1 0 1 1 0] [-2 0 0 0 -1 -1 0 1 0 1 1 1 2 -1 0 0 1 4 0 1 0 1] [-1 2 -1 2 0 -1 1 1 1 -1 0 1 1 1 0 -1 0 0 4 0 0 1] [ 0 0 0 -1 -1 -1 -2 -1 1 -2 2 1 1 0 0 1 1 1 0 4 1 0] [ 0 1 -1 0 0 1 0 1 1 -1 0 -1 1 0 0 0 1 0 0 1 4 0] [-2 2 -2 1 2 -2 2 2 -1 1 0 1 1 1 -1 0 0 1 1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 766. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 2 1 0 1 2 1 -1 -1 1 -1 1 -1 -1 0 2 -1] [ 1 4 2 -1 -2 2 1 -1 1 1 1 -1 -1 -2 1 -2 0 1 -2 0 -1 -1] [ 2 2 4 -2 0 0 0 0 1 0 0 -1 0 -2 2 -1 1 0 -2 1 0 0] [-1 -1 -2 4 0 0 0 0 1 -1 0 0 1 0 -1 0 1 0 0 0 1 1] [-1 -2 0 0 4 -2 -1 0 -1 -1 -2 0 0 1 0 1 0 -1 0 0 0 2] [ 1 2 0 0 -2 4 2 -1 0 0 2 0 -1 0 0 -2 0 1 0 0 1 -2] [ 2 1 0 0 -1 2 4 1 0 0 1 0 -2 0 0 -1 0 -1 0 0 2 -1] [ 1 -1 0 0 0 -1 1 4 -1 1 0 -1 0 0 1 0 1 -1 0 1 0 0] [ 0 1 1 1 -1 0 0 -1 4 0 -1 0 1 -1 0 -1 1 1 -1 1 1 1] [ 1 1 0 -1 -1 0 0 1 0 4 1 0 0 0 1 -1 0 0 -1 -1 -1 0] [ 2 1 0 0 -2 2 1 0 -1 1 4 1 0 -1 0 -1 0 0 0 -1 1 -2] [ 1 -1 -1 0 0 0 0 -1 0 0 1 4 -1 0 -2 1 0 0 1 -1 2 -1] [-1 -1 0 1 0 -1 -2 0 1 0 0 -1 4 0 0 0 0 0 0 1 -1 1] [-1 -2 -2 0 1 0 0 0 -1 0 -1 0 0 4 0 1 -1 -1 2 0 0 0] [ 1 1 2 -1 0 0 0 1 0 1 0 -2 0 0 4 -1 0 -1 -1 0 0 0] [-1 -2 -1 0 1 -2 -1 0 -1 -1 -1 1 0 1 -1 4 0 -1 2 -1 -1 0] [ 1 0 1 1 0 0 0 1 1 0 0 0 0 -1 0 0 4 0 -1 0 0 1] [-1 1 0 0 -1 1 -1 -1 1 0 0 0 0 -1 -1 -1 0 4 -1 1 0 0] [-1 -2 -2 0 0 0 0 0 -1 -1 0 1 0 2 -1 2 -1 -1 4 -1 0 -1] [ 0 0 1 0 0 0 0 1 1 -1 -1 -1 1 0 0 -1 0 1 -1 4 1 0] [ 2 -1 0 1 0 1 2 0 1 -1 1 2 -1 0 0 -1 0 0 0 1 6 -1] [-1 -1 0 1 2 -2 -1 0 1 0 -2 -1 1 0 0 0 1 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 767. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 -1 1 -1 -1 1 -1 0 1 2 0 2 1 2 -1 1 2 0 2] [ 1 4 1 -2 1 -1 1 0 -1 -2 1 2 1 0 2 -1 0 1 -1 2 1 2] [-2 1 4 -1 2 -2 2 1 -1 1 0 1 -1 1 -1 -1 -2 2 0 0 0 -1] [-1 -2 -1 4 -1 1 -1 1 0 1 0 -1 -1 0 0 1 -1 -1 0 -1 0 -2] [-1 1 2 -1 4 -2 1 -1 -2 1 0 1 0 -1 1 0 -2 2 -1 -1 0 1] [ 1 -1 -2 1 -2 4 -2 -1 0 0 -1 -1 0 -1 1 0 2 -1 1 1 -1 -1] [-1 1 2 -1 1 -2 4 0 0 -1 0 1 0 1 -2 -1 -1 2 0 1 0 1] [-1 0 1 1 -1 -1 0 4 0 1 0 0 0 1 -1 -1 -1 -1 -1 -1 0 -2] [ 1 -1 -1 0 -2 0 0 0 4 0 0 -1 1 2 -1 0 1 -1 2 0 0 1] [-1 -2 1 1 1 0 -1 1 0 6 0 0 0 0 -1 -1 -2 1 0 -3 0 -1] [ 0 1 0 0 0 -1 0 0 0 0 4 0 -1 1 -1 0 0 1 0 1 1 0] [ 1 2 1 -1 1 -1 1 0 -1 0 0 4 0 -1 1 0 -1 1 -1 0 0 1] [ 2 1 -1 -1 0 0 0 0 1 0 -1 0 4 0 2 -1 1 0 0 1 1 3] [ 0 0 1 0 -1 -1 1 1 2 0 1 -1 0 4 -2 0 0 0 1 1 1 0] [ 2 2 -1 0 1 1 -2 -1 -1 -1 -1 1 2 -2 6 0 0 -1 0 1 0 2] [ 1 -1 -1 1 0 0 -1 -1 0 -1 0 0 -1 0 0 4 1 -1 0 0 0 0] [ 2 0 -2 -1 -2 2 -1 -1 1 -2 0 -1 1 0 0 1 4 -1 1 2 0 1] [-1 1 2 -1 2 -1 2 -1 -1 1 1 1 0 0 -1 -1 -1 4 0 1 1 1] [ 1 -1 0 0 -1 1 0 -1 2 0 0 -1 0 1 0 0 1 0 4 1 -1 0] [ 2 2 0 -1 -1 1 1 -1 0 -3 1 0 1 1 1 0 2 1 1 6 1 1] [ 0 1 0 0 0 -1 0 0 0 0 1 0 1 1 0 0 0 1 -1 1 4 1] [ 2 2 -1 -2 1 -1 1 -2 1 -1 0 1 3 0 2 0 1 1 0 1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 768. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 2 1 -1 1 1 1 -1 0 1 1 -1 0 -1 1 0] [-2 4 -2 2 1 -1 1 -2 1 0 -2 0 -1 1 -1 0 0 1 0 1 0 1] [ 2 -2 4 -2 -1 0 -1 1 0 -1 2 0 0 0 -1 -1 1 0 -1 -1 -1 0] [-2 2 -2 4 1 0 2 -2 1 1 -1 0 0 0 0 0 -1 1 1 1 -1 1] [ 0 1 -1 1 4 -1 2 0 2 1 0 1 1 1 0 1 -1 -1 1 2 -1 2] [ 1 -1 0 0 -1 4 0 1 0 1 1 1 0 -1 -1 1 -1 0 1 0 2 0] [-1 1 -1 2 2 0 4 -1 2 2 1 0 0 0 0 0 -2 -1 2 2 -2 2] [ 2 -2 1 -2 0 1 -1 4 -1 0 0 0 1 -1 0 0 0 0 -1 0 2 0] [ 1 1 0 1 2 0 2 -1 4 1 0 1 1 0 0 1 -1 -1 1 1 -1 2] [-1 0 -1 1 1 1 2 0 1 4 1 1 0 -1 1 0 -1 0 2 1 0 1] [ 1 -2 2 -1 0 1 1 0 0 1 6 1 1 0 -1 -1 -1 -2 2 -1 -2 1] [ 1 0 0 0 1 1 0 0 1 1 1 4 1 1 0 2 1 -1 1 1 0 0] [ 1 -1 0 0 1 0 0 1 1 0 1 1 4 1 1 1 -1 -2 0 0 -1 0] [-1 1 0 0 1 -1 0 -1 0 -1 0 1 1 4 -1 1 0 -1 -1 1 -1 0] [ 0 -1 -1 0 0 -1 0 0 0 1 -1 0 1 -1 4 0 0 -1 1 0 -1 -1] [ 1 0 -1 0 1 1 0 0 1 0 -1 2 1 1 0 4 1 -1 0 1 1 0] [ 1 0 1 -1 -1 -1 -2 0 -1 -1 -1 1 -1 0 0 1 4 1 -1 -1 1 -1] [-1 1 0 1 -1 0 -1 0 -1 0 -2 -1 -2 -1 -1 -1 1 4 -1 0 2 0] [ 0 0 -1 1 1 1 2 -1 1 2 2 1 0 -1 1 0 -1 -1 4 0 -1 1] [-1 1 -1 1 2 0 2 0 1 1 -1 1 0 1 0 1 -1 0 0 4 0 1] [ 1 0 -1 -1 -1 2 -2 2 -1 0 -2 0 -1 -1 -1 1 1 2 -1 0 6 -1] [ 0 1 0 1 2 0 2 0 2 1 1 0 0 0 -1 0 -1 0 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 769. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 0 -1 2 1 2 2 1 -2 1 2 1 -1 -1 -1 -2 1 1 0 2] [ 1 4 0 -1 0 2 0 0 -1 2 0 -1 2 0 -1 0 1 -2 1 -1 1 -1] [-1 0 4 0 0 -1 0 0 0 1 2 -1 -2 0 -1 -1 -1 0 1 1 -1 -2] [ 0 -1 0 4 0 -2 0 0 2 1 1 2 -1 -1 1 0 1 1 -2 2 0 2] [-1 0 0 0 4 -2 -2 -1 -1 0 0 0 0 1 0 -1 1 -1 1 -2 1 -2] [ 2 2 -1 -2 -2 6 1 2 0 0 -2 -1 3 1 -1 0 -2 -2 2 1 1 1] [ 1 0 0 0 -2 1 4 2 1 0 -1 0 0 -1 1 0 -1 -1 1 0 0 1] [ 2 0 0 0 -1 2 2 4 2 0 -2 0 0 1 -1 0 -2 -2 2 0 0 2] [ 2 -1 0 2 -1 0 1 2 4 1 -1 2 0 0 0 0 -1 -1 0 2 -1 2] [ 1 2 1 1 0 0 0 0 1 4 1 0 1 -1 0 0 0 -2 1 1 0 0] [-2 0 2 1 0 -2 -1 -2 -1 1 4 -1 -2 -1 0 0 1 1 -1 1 0 -1] [ 1 -1 -1 2 0 -1 0 0 2 0 -1 4 1 -1 0 -1 1 0 -1 2 0 2] [ 2 2 -2 -1 0 3 0 0 0 1 -2 1 6 1 -1 0 0 -3 0 0 2 1] [ 1 0 0 -1 1 1 -1 1 0 -1 -1 -1 1 4 -2 0 -1 -1 0 -1 1 0] [-1 -1 -1 1 0 -1 1 -1 0 0 0 0 -1 -2 4 0 0 1 0 0 -1 0] [-1 0 -1 0 -1 0 0 0 0 0 0 -1 0 0 0 4 1 1 -2 -1 0 1] [-1 1 -1 1 1 -2 -1 -2 -1 0 1 1 0 -1 0 1 4 1 -2 -1 1 0] [-2 -2 0 1 -1 -2 -1 -2 -1 -2 1 0 -3 -1 1 1 1 6 -3 1 -1 0] [ 1 1 1 -2 1 2 1 2 0 1 -1 -1 0 0 0 -2 -2 -3 6 -1 0 -1] [ 1 -1 1 2 -2 1 0 0 2 1 1 2 0 -1 0 -1 -1 1 -1 6 0 2] [ 0 1 -1 0 1 1 0 0 -1 0 0 0 2 1 -1 0 1 -1 0 0 4 0] [ 2 -1 -2 2 -2 1 1 2 2 0 -1 2 1 0 0 1 0 0 -1 2 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 770. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 1 -1 0 -2 -1 0 2 1 0 1 0 -1 -2 1 0 0 1] [-2 4 -2 -1 -1 -1 0 1 2 2 -1 0 0 -1 0 0 1 2 -1 0 1 -1] [ 2 -2 4 0 0 1 0 -1 -2 -1 -1 1 0 1 0 -1 -1 -1 0 -1 -1 0] [ 1 -1 0 4 0 0 1 1 0 0 1 1 1 0 -1 0 0 0 2 1 1 0] [ 1 -1 0 0 4 2 0 -1 -1 -1 0 1 1 0 0 -1 1 0 -1 1 -1 1] [ 1 -1 1 0 2 4 1 0 -1 -2 -1 2 0 1 0 -2 -1 0 0 -1 0 1] [-1 0 0 1 0 1 4 0 0 1 -1 0 -1 1 -2 -1 -1 2 0 0 0 1] [ 0 1 -1 1 -1 0 0 4 0 0 1 1 1 1 0 -1 0 1 0 1 1 -1] [-2 2 -2 0 -1 -1 0 0 4 1 1 -1 -1 0 -1 1 1 1 0 -1 0 -1] [-1 2 -1 0 -1 -2 1 0 1 4 -1 -1 -1 0 -1 0 1 1 0 1 0 -1] [ 0 -1 -1 1 0 -1 -1 1 1 -1 4 -1 1 0 0 1 1 -1 1 0 -1 -1] [ 2 0 1 1 1 2 0 1 -1 -1 -1 4 1 0 0 -1 0 0 0 0 1 0] [ 1 0 0 1 1 0 -1 1 -1 -1 1 1 4 0 0 0 0 0 0 1 1 0] [ 0 -1 1 0 0 1 1 1 0 0 0 0 0 4 -2 -1 0 0 -1 0 -1 0] [ 1 0 0 -1 0 0 -2 0 -1 -1 0 0 0 -2 4 1 0 -1 0 0 0 0] [ 0 0 -1 0 -1 -2 -1 -1 1 0 1 -1 0 -1 1 4 1 -1 0 0 0 1] [-1 1 -1 0 1 -1 -1 0 1 1 1 0 0 0 0 1 4 0 -1 1 -1 -1] [-2 2 -1 0 0 0 2 1 1 1 -1 0 0 0 -1 -1 0 4 -1 1 1 0] [ 1 -1 0 2 -1 0 0 0 0 0 1 0 0 -1 0 0 -1 -1 4 -1 1 0] [ 0 0 -1 1 1 -1 0 1 -1 1 0 0 1 0 0 0 1 1 -1 4 1 0] [ 0 1 -1 1 -1 0 0 1 0 0 -1 1 1 -1 0 0 -1 1 1 1 4 0] [ 1 -1 0 0 1 1 1 -1 -1 -1 -1 0 0 0 0 1 -1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 771. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 1 -1 2 0 0 -2 1 0 -1 -2 1 0 -2 -1 0] [-2 4 -2 2 1 -1 1 0 1 -1 1 -1 2 -1 -1 0 1 0 0 2 1 -1] [ 2 -2 4 -2 -1 0 -1 -1 0 2 1 -1 -2 1 1 -1 -1 0 -1 -1 -2 0] [-2 2 -2 4 1 -1 2 1 1 -2 1 0 2 -1 -1 0 2 -1 1 0 2 -1] [ 0 1 -1 1 4 1 2 2 1 0 0 1 1 1 -1 -1 0 -1 -1 0 -1 1] [ 1 -1 0 -1 1 4 1 2 0 0 -2 1 -1 2 -1 1 -2 0 0 -2 0 2] [-1 1 -1 2 2 1 4 2 2 -1 -1 0 1 1 -2 0 1 -2 -1 0 1 1] [ 1 0 -1 1 2 2 2 4 1 -1 -1 1 0 1 -1 0 0 0 0 -2 0 1] [-1 1 0 1 1 0 2 1 4 0 0 -1 0 1 0 1 1 -1 -1 1 1 1] [ 2 -1 2 -2 0 0 -1 -1 0 4 1 -1 -1 1 1 -1 -2 1 0 0 -1 0] [ 0 1 1 1 0 -2 -1 -1 0 1 4 -1 1 -1 1 -1 1 1 1 1 -1 -1] [ 0 -1 -1 0 1 1 0 1 -1 -1 -1 4 -1 1 0 1 0 -1 0 0 0 1] [-2 2 -2 2 1 -1 1 0 0 -1 1 -1 4 -2 0 -1 1 0 1 1 0 -1] [ 1 -1 1 -1 1 2 1 1 1 1 -1 1 -2 4 0 0 -1 -1 -1 0 -1 2] [ 0 -1 1 -1 -1 -1 -2 -1 0 1 1 0 0 0 4 0 0 1 1 1 -1 -1] [-1 0 -1 0 -1 1 0 0 1 -1 -1 1 -1 0 0 4 0 0 0 0 2 1] [-2 1 -1 2 0 -2 1 0 1 -2 1 0 1 -1 0 0 4 -1 0 2 1 0] [ 1 0 0 -1 -1 0 -2 0 -1 1 1 -1 0 -1 1 0 -1 4 2 -1 -1 -1] [ 0 0 -1 1 -1 0 -1 0 -1 0 1 0 1 -1 1 0 0 2 4 -1 1 -1] [-2 2 -1 0 0 -2 0 -2 1 0 1 0 1 0 1 0 2 -1 -1 6 1 0] [-1 1 -2 2 -1 0 1 0 1 -1 -1 0 0 -1 -1 2 1 -1 1 1 6 -1] [ 0 -1 0 -1 1 2 1 1 1 0 -1 1 -1 2 -1 1 0 -1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 772. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 1 -1 2 1 -1 2 0 1 0 1 -1 0 2 1 -1 -2 -1 -2] [-2 4 2 -1 -1 1 -1 1 -1 0 0 -2 -1 -1 0 -1 -1 -1 0 2 0 2] [-2 2 4 -2 0 2 -1 -1 1 -1 0 -1 0 -2 0 0 -2 0 1 1 0 1] [ 2 -1 -2 4 -1 -1 2 1 -1 1 1 0 -1 1 -1 0 2 0 -1 -1 -1 -2] [ 1 -1 0 -1 4 0 -1 -1 1 1 -1 1 2 -1 1 1 -1 1 -1 0 1 1] [-1 1 2 -1 0 4 1 1 -1 1 0 -2 0 -1 0 0 -1 0 2 2 0 2] [ 2 -1 -1 2 -1 1 6 3 -2 3 -1 -1 -1 0 -2 1 1 2 0 1 0 -2] [ 1 1 -1 1 -1 1 3 6 -4 1 1 -2 0 1 0 1 2 -1 1 0 1 0] [-1 -1 1 -1 1 -1 -2 -4 6 0 -2 2 0 -2 -1 1 -1 0 0 1 0 1] [ 2 0 -1 1 1 1 3 1 0 6 -2 -1 0 -1 -1 0 0 2 -1 2 -1 1] [ 0 0 0 1 -1 0 -1 1 -2 -2 4 0 1 2 1 -1 1 -1 1 -2 -1 -1] [ 1 -2 -1 0 1 -2 -1 -2 2 -1 0 4 0 0 0 0 1 0 -1 -2 0 -1] [ 0 -1 0 -1 2 0 -1 0 0 0 1 0 4 0 1 0 -1 1 0 0 0 1] [ 1 -1 -2 1 -1 -1 0 1 -2 -1 2 0 0 4 0 0 2 0 0 -2 0 -2] [-1 0 0 -1 1 0 -2 0 -1 -1 1 0 1 0 4 0 -1 -1 0 -1 1 1] [ 0 -1 0 0 1 0 1 1 1 0 -1 0 0 0 0 4 1 0 0 0 2 0] [ 2 -1 -2 2 -1 -1 1 2 -1 0 1 1 -1 2 -1 1 4 -1 0 -2 0 -1] [ 1 -1 0 0 1 0 2 -1 0 2 -1 0 1 0 -1 0 -1 4 -1 1 0 -1] [-1 0 1 -1 -1 2 0 1 0 -1 1 -1 0 0 0 0 0 -1 4 0 0 1] [-2 2 1 -1 0 2 1 0 1 2 -2 -2 0 -2 -1 0 -2 1 0 6 1 3] [-1 0 0 -1 1 0 0 1 0 -1 -1 0 0 0 1 2 0 0 0 1 4 0] [-2 2 1 -2 1 2 -2 0 1 1 -1 -1 1 -2 1 0 -1 -1 1 3 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 773. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 1 -2 -2 -1 0 1 2 1 0 -2 -2 0 1 -2 1 2 1 0] [-1 4 0 1 -1 0 1 0 -1 1 0 -1 1 1 -1 -1 -2 1 1 0 -2 1] [-2 0 4 -2 1 2 0 0 0 -1 -2 0 0 2 0 -1 -1 0 0 -2 -1 -1] [ 2 1 -2 4 0 -2 -1 0 -1 1 1 0 0 -1 -2 1 -1 0 1 1 0 1] [ 1 -1 1 0 4 1 -2 1 0 0 0 2 1 -1 -2 -1 0 -2 -1 0 -1 -2] [-2 0 2 -2 1 4 1 1 0 0 -2 0 1 2 1 0 0 0 -1 -2 0 -2] [-2 1 0 -1 -2 1 4 1 0 0 -1 -2 1 2 1 1 0 2 -1 -1 1 1] [-1 0 0 0 1 1 1 4 0 -1 -1 0 1 1 0 0 1 1 -1 -1 -1 0] [ 0 -1 0 -1 0 0 0 0 4 0 0 -1 1 -2 2 -1 0 -1 -1 0 2 0] [ 1 1 -1 1 0 0 0 -1 0 4 0 -1 1 0 -1 0 0 0 1 0 1 0] [ 2 0 -2 1 0 -2 -1 -1 0 0 4 0 0 -3 0 0 0 -1 0 2 0 1] [ 1 -1 0 0 2 0 -2 0 -1 -1 0 4 0 -1 -2 -1 1 -1 0 0 -2 -2] [ 0 1 0 0 1 1 1 1 1 1 0 0 4 -1 0 -1 0 -1 0 0 0 0] [-2 1 2 -1 -1 2 2 1 -2 0 -3 -1 -1 6 -1 1 0 2 0 -2 0 0] [-2 -1 0 -2 -2 1 1 0 2 -1 0 -2 0 -1 6 0 0 0 0 0 1 1] [ 0 -1 -1 1 -1 0 1 0 -1 0 0 -1 -1 1 0 4 1 1 -1 0 2 1] [ 1 -2 -1 -1 0 0 0 1 0 0 0 1 0 0 0 1 4 0 0 0 1 0] [-2 1 0 0 -2 0 2 1 -1 0 -1 -1 -1 2 0 1 0 4 0 -1 0 1] [ 1 1 0 1 -1 -1 -1 -1 -1 1 0 0 0 0 0 -1 0 0 4 0 -1 1] [ 2 0 -2 1 0 -2 -1 -1 0 0 2 0 0 -2 0 0 0 -1 0 4 1 1] [ 1 -2 -1 0 -1 0 1 -1 2 1 0 -2 0 0 1 2 1 0 -1 1 6 0] [ 0 1 -1 1 -2 -2 1 0 0 0 1 -2 0 0 1 1 0 1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 774. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 -2 2 -2 0 1 2 0 -1 1 1 2 2 -1 1 -2 2] [ 1 4 2 -1 0 2 -1 1 0 1 1 2 1 -1 -1 0 2 0 1 2 0 0] [ 2 2 6 -2 0 0 0 0 0 -1 0 0 -1 1 1 0 0 1 2 1 0 -1] [-1 -1 -2 4 -1 0 0 0 1 1 -1 -2 1 1 0 1 -2 -1 0 0 1 -1] [-1 0 0 -1 4 0 2 0 1 -1 0 1 -1 0 1 1 0 1 0 0 2 1] [ 1 2 0 0 0 4 -2 2 0 0 2 1 0 -1 0 1 1 1 0 1 -1 2] [-2 -1 0 0 2 -2 4 -1 2 -1 -2 -1 0 1 0 0 -2 0 1 0 2 -2] [ 2 1 0 0 0 2 -1 4 0 0 1 2 0 -2 0 2 2 2 0 2 -2 1] [-2 0 0 1 1 0 2 0 4 0 -1 -2 0 1 -1 1 -2 -1 1 1 2 -2] [ 0 1 -1 1 -1 0 -1 0 0 4 1 0 1 -1 -2 0 2 -1 0 0 1 -1] [ 1 1 0 -1 0 2 -2 1 -1 1 4 2 -1 -2 0 0 2 1 0 0 -1 2] [ 2 2 0 -2 1 1 -1 2 -2 0 2 6 1 -3 1 0 4 2 -1 2 -2 3] [ 0 1 -1 1 -1 0 0 0 0 1 -1 1 4 0 -1 -1 0 0 0 1 -1 0] [-1 -1 1 1 0 -1 1 -2 1 -1 -2 -3 0 4 0 0 -3 -1 0 -1 2 -1] [ 1 -1 1 0 1 0 0 0 -1 -2 0 1 -1 0 4 0 -1 1 0 0 -1 2] [ 1 0 0 1 1 1 0 2 1 0 0 0 -1 0 0 4 1 1 -1 1 1 1] [ 2 2 0 -2 0 1 -2 2 -2 2 2 4 0 -3 -1 1 6 1 -1 1 -1 2] [ 2 0 1 -1 1 1 0 2 -1 -1 1 2 0 -1 1 1 1 4 0 1 -1 2] [-1 1 2 0 0 0 1 0 1 0 0 -1 0 0 0 -1 -1 0 4 0 0 -2] [ 1 2 1 0 0 1 0 2 1 0 0 2 1 -1 0 1 1 1 0 4 0 0] [-2 0 0 1 2 -1 2 -2 2 1 -1 -2 -1 2 -1 1 -1 -1 0 0 6 -2] [ 2 0 -1 -1 1 2 -2 1 -2 -1 2 3 0 -1 2 1 2 2 -2 0 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 775. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 2 2 -2 1 -2 0 0 0 1 -2 -2 -1 2 -2 -1 0 1 2] [-1 4 -1 -1 -1 0 0 -1 0 1 0 -1 1 1 2 0 -1 0 2 -1 -2 0] [ 1 -1 4 0 0 1 1 0 0 1 -1 1 -1 0 0 1 -1 0 -1 1 -1 0] [ 2 -1 0 4 1 0 -1 1 -2 -1 1 -1 0 -1 0 0 1 -1 -1 -1 2 2] [ 2 -1 0 1 4 0 0 2 0 -1 -1 0 1 -1 -2 0 2 -2 0 0 0 0] [ 2 0 1 0 0 4 -1 -1 -1 0 -1 1 0 -1 -1 0 0 0 -1 1 1 1] [-2 0 1 -1 0 -1 4 0 2 0 -1 0 -1 1 1 1 -1 1 0 0 -1 -2] [ 1 -1 0 1 2 -1 0 4 -1 0 -1 -1 0 -1 -2 1 1 0 0 -1 -1 0] [-2 0 0 -2 0 -1 2 -1 4 0 0 1 0 2 0 0 0 1 0 1 -1 -2] [ 0 1 1 -1 -1 0 0 0 0 4 -1 1 0 1 -1 0 0 1 1 1 -1 0] [ 0 0 -1 1 -1 -1 -1 -1 0 -1 4 0 1 0 2 -2 1 0 0 0 0 0] [ 0 -1 1 -1 0 1 0 -1 1 1 0 4 -1 0 -1 0 0 1 -1 2 0 -1] [ 1 1 -1 0 1 0 -1 0 0 0 1 -1 4 -1 1 -2 2 -1 2 -1 -1 1] [-2 1 0 -1 -1 -1 1 -1 2 1 0 0 -1 4 0 1 -1 1 0 1 0 -1] [-2 2 0 0 -2 -1 1 -2 0 -1 2 -1 1 0 6 -1 -2 0 2 -1 -2 0] [-1 0 1 0 0 0 1 1 0 0 -2 0 -2 1 -1 4 -1 1 -1 0 0 0] [ 2 -1 -1 1 2 0 -1 1 0 0 1 0 2 -1 -2 -1 4 -1 0 0 1 1] [-2 0 0 -1 -2 0 1 0 1 1 0 1 -1 1 0 1 -1 4 0 1 0 -1] [-1 2 -1 -1 0 -1 0 0 0 1 0 -1 2 0 2 -1 0 0 4 -1 -2 0] [ 0 -1 1 -1 0 1 0 -1 1 1 0 2 -1 1 -1 0 0 1 -1 4 1 -1] [ 1 -2 -1 2 0 1 -1 -1 -1 -1 0 0 -1 0 -2 0 1 0 -2 1 6 1] [ 2 0 0 2 0 1 -2 0 -2 0 0 -1 1 -1 0 0 1 -1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 776. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 2 2 -1 -1 -1 2 1 1 0 -2 0 0 -2 1 -1 1 0 -2] [ 2 4 2 0 1 0 1 1 0 2 0 1 1 -2 -1 0 -2 2 -1 0 -1 -1] [ 2 2 4 1 0 0 0 0 1 1 0 0 0 -2 -1 -1 -1 0 -2 0 -1 -1] [-1 0 1 4 -1 0 1 1 2 -1 0 0 -1 1 -1 -1 0 -1 0 0 0 1] [ 2 1 0 -1 4 0 0 0 0 1 0 2 1 -2 -1 1 -2 0 -1 0 0 -2] [ 2 0 0 0 0 4 -1 -1 -1 1 2 0 -1 0 1 0 -1 0 1 2 1 -1] [-1 1 0 1 0 -1 4 2 0 1 -1 0 1 1 -1 -1 1 1 0 -1 -1 1] [-1 1 0 1 0 -1 2 4 0 -1 0 -1 1 0 -2 -1 0 1 -1 0 0 1] [-1 0 1 2 0 -1 0 0 6 1 1 0 -2 -2 -1 2 0 -1 0 1 -2 0] [ 2 2 1 -1 1 1 1 -1 1 6 0 0 0 -1 0 1 0 2 1 0 -1 -1] [ 1 0 0 0 0 2 -1 0 1 0 4 -1 -1 -2 1 1 -1 0 0 2 0 0] [ 1 1 0 0 2 0 0 -1 0 0 -1 4 1 -1 -1 0 -1 0 0 -1 -1 -2] [ 0 1 0 -1 1 -1 1 1 -2 0 -1 1 4 -1 0 -1 0 0 0 -1 0 0] [-2 -2 -2 1 -2 0 1 0 -2 -1 -2 -1 -1 6 0 -1 2 0 1 -1 2 2] [ 0 -1 -1 -1 -1 1 -1 -2 -1 0 1 -1 0 0 4 0 0 -1 2 1 0 1] [ 0 0 -1 -1 1 0 -1 -1 2 1 1 0 -1 -1 0 4 0 0 0 1 0 0] [-2 -2 -1 0 -2 -1 1 0 0 0 -1 -1 0 2 0 0 4 0 1 -1 0 2] [ 1 2 0 -1 0 0 1 1 -1 2 0 0 0 0 -1 0 0 4 0 0 0 0] [-1 -1 -2 0 -1 1 0 -1 0 1 0 0 0 1 2 0 1 0 4 0 0 1] [ 1 0 0 0 0 2 -1 0 1 0 2 -1 -1 -1 1 1 -1 0 0 4 1 0] [ 0 -1 -1 0 0 1 -1 0 -2 -1 0 -1 0 2 0 0 0 0 0 1 4 0] [-2 -1 -1 1 -2 -1 1 1 0 -1 0 -2 0 2 1 0 2 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 777. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 1 -2 -1 1 -1 0 -2 0 2 1 -2 -2 2 0 1 -2 1 0] [ 0 4 -1 -1 -2 0 2 1 -1 -1 1 -1 2 2 -2 -1 0 -1 -1 1 -2 2] [ 1 -1 4 0 2 -2 0 0 -1 0 0 -1 -1 1 1 -1 -1 -1 1 0 0 0] [ 2 -1 0 4 2 0 -1 0 -1 1 -2 1 2 1 -2 -1 1 0 0 -2 0 0] [ 1 -2 2 2 4 0 -1 0 -1 1 -1 0 0 0 1 0 0 -1 0 -1 1 0] [-2 0 -2 0 0 4 1 -1 1 1 1 0 -1 0 1 1 -1 0 -2 1 0 1] [-1 2 0 -1 -1 1 4 1 -1 0 1 -2 -1 2 -1 0 -1 0 -2 1 -2 2] [ 1 1 0 0 0 -1 1 4 -2 -1 -1 -1 1 1 -1 -1 2 1 0 -1 1 1] [-1 -1 -1 -1 -1 1 -1 -2 6 -1 1 2 -2 0 1 2 0 -1 1 1 2 -1] [ 0 -1 0 1 1 1 0 -1 -1 4 -1 -1 0 0 0 0 0 1 0 -1 0 0] [-2 1 0 -2 -1 1 1 -1 1 -1 4 -1 -1 -1 2 1 -2 -1 -1 2 -1 1] [ 0 -1 -1 1 0 0 -2 -1 2 -1 -1 4 1 -1 -1 0 1 0 1 -1 0 -2] [ 2 2 -1 2 0 -1 -1 1 -2 0 -1 1 6 0 -2 -2 2 -1 1 -1 -1 1] [ 1 2 1 1 0 0 2 1 0 0 -1 -1 0 6 -3 -1 0 -1 -1 0 0 2] [-2 -2 1 -2 1 1 -1 -1 1 0 2 -1 -2 -3 6 1 -2 -1 1 2 1 0] [-2 -1 -1 -1 0 1 0 -1 2 0 1 0 -2 -1 1 4 0 0 -1 1 1 0] [ 2 0 -1 1 0 -1 -1 2 0 0 -2 1 2 0 -2 0 4 1 1 -2 2 0] [ 0 -1 -1 0 -1 0 0 1 -1 1 -1 0 -1 -1 -1 0 1 4 0 -1 1 -1] [ 1 -1 1 0 0 -2 -2 0 1 0 -1 1 1 -1 1 -1 1 0 4 -1 1 -1] [-2 1 0 -2 -1 1 1 -1 1 -1 2 -1 -1 0 2 1 -2 -1 -1 4 0 1] [ 1 -2 0 0 1 0 -2 1 2 0 -1 0 -1 0 1 1 2 1 1 0 6 -1] [ 0 2 0 0 0 1 2 1 -1 0 1 -2 1 2 0 0 0 -1 -1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 778. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 0 0 -1 1 2 -1 1 0 -1 0 0 0 0 0 -1 1] [ 2 4 -2 1 -1 -1 1 1 1 1 2 0 0 -1 -1 1 -1 -1 -1 1 0 1] [-2 -2 4 1 2 1 0 0 1 -1 -2 0 -1 -1 1 -1 0 -1 1 0 0 0] [ 0 1 1 4 2 1 0 0 2 1 -1 -1 1 -2 -1 -1 1 -2 1 0 0 2] [-1 -1 2 2 4 2 0 0 2 1 -1 0 1 -2 -1 -2 0 -2 2 0 0 0] [ 1 -1 1 1 2 4 -1 -1 0 1 -1 -1 1 -1 -1 -1 1 0 1 -1 -1 0] [ 0 1 0 0 0 -1 4 2 -1 -1 2 2 0 -1 0 0 0 -1 -1 2 0 0] [ 0 1 0 0 0 -1 2 4 1 0 1 0 0 0 -1 -1 -1 -1 0 0 1 1] [-1 1 1 2 2 0 -1 1 6 1 0 -1 1 -1 -2 0 -2 -2 2 0 2 1] [ 1 1 -1 1 1 1 -1 0 1 4 -1 -1 1 0 -1 -1 1 0 1 -1 -1 1] [ 2 2 -2 -1 -1 -1 2 1 0 -1 6 0 1 0 -1 1 -1 0 0 1 1 0] [-1 0 0 -1 0 -1 2 0 -1 -1 0 4 0 -1 0 0 0 0 -1 1 -1 -2] [ 1 0 -1 1 1 1 0 0 1 1 1 0 4 -1 -1 -1 1 -1 2 0 0 1] [ 0 -1 -1 -2 -2 -1 -1 0 -1 0 0 -1 -1 4 0 1 0 2 -1 -1 1 0] [-1 -1 1 -1 -1 -1 0 -1 -2 -1 -1 0 -1 0 4 0 0 0 0 1 -1 0] [ 0 1 -1 -1 -2 -1 0 -1 0 -1 1 0 -1 1 0 4 0 1 -2 1 1 0] [ 0 -1 0 1 0 1 0 -1 -2 1 -1 0 1 0 0 0 4 1 0 -1 -1 1] [ 0 -1 -1 -2 -2 0 -1 -1 -2 0 0 0 -1 2 0 1 1 4 -1 -1 0 -1] [ 0 -1 1 1 2 1 -1 0 2 1 0 -1 2 -1 0 -2 0 -1 4 -1 0 1] [ 0 1 0 0 0 -1 2 0 0 -1 1 1 0 -1 1 1 -1 -1 -1 4 1 0] [-1 0 0 0 0 -1 0 1 2 -1 1 -1 0 1 -1 1 -1 0 0 1 4 0] [ 1 1 0 2 0 0 0 1 1 1 0 -2 1 0 0 0 1 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 779. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 2 0 0 1 -2 0 0 0 0 1 2 0 -1 -1 2 -2 0 2 2 -1] [ 0 4 -2 1 2 2 1 -2 1 0 -2 1 0 1 -2 0 2 0 1 0 0 0] [ 2 -2 6 0 -1 1 -2 1 -2 1 1 -2 1 -2 -1 1 -2 0 0 0 2 -2] [ 0 1 0 4 0 -1 0 -1 1 0 -1 1 1 1 1 -1 2 -1 1 1 1 0] [ 0 2 -1 0 4 2 0 0 -1 1 0 1 -1 -1 -1 -1 0 0 0 0 1 -1] [ 1 2 1 -1 2 6 1 1 -1 2 1 0 -1 -1 -2 0 0 1 -1 -1 2 -2] [-2 1 -2 0 0 1 4 0 1 0 0 0 -1 1 0 0 -1 2 0 -2 0 1] [ 0 -2 1 -1 0 1 0 4 -2 0 2 0 -1 -1 2 0 -2 0 -2 0 0 -1] [ 0 1 -2 1 -1 -1 1 -2 4 0 -1 1 0 2 -1 0 2 0 0 0 -1 1] [ 0 0 1 0 1 2 0 0 0 4 0 0 -1 0 0 0 0 1 0 -1 2 -2] [ 0 -2 1 -1 0 1 0 2 -1 0 4 0 -1 -2 0 0 -2 0 -2 0 1 -1] [ 1 1 -2 1 1 0 0 0 1 0 0 4 0 1 0 -1 2 -2 -1 1 1 0] [ 2 0 1 1 -1 -1 -1 -1 0 -1 -1 0 4 0 1 -1 2 -2 2 2 1 1] [ 0 1 -2 1 -1 -1 1 -1 2 0 -2 1 0 4 0 0 2 0 0 0 0 1] [-1 -2 -1 1 -1 -2 0 2 -1 0 0 0 1 0 6 -2 0 -1 1 1 -1 1] [-1 0 1 -1 -1 0 0 0 0 0 0 -1 -1 0 -2 4 -1 1 -1 -1 -1 0] [ 2 2 -2 2 0 0 -1 -2 2 0 -2 2 2 2 0 -1 6 -2 1 2 1 1] [-2 0 0 -1 0 1 2 0 0 1 0 -2 -2 0 -1 1 -2 4 0 -2 0 0] [ 0 1 0 1 0 -1 0 -2 0 0 -2 -1 2 0 1 -1 1 0 4 0 0 1] [ 2 0 0 1 0 -1 -2 0 0 -1 0 1 2 0 1 -1 2 -2 0 4 1 0] [ 2 0 2 1 1 2 0 0 -1 2 1 1 1 0 -1 -1 1 0 0 1 6 -2] [-1 0 -2 0 -1 -2 1 -1 1 -2 -1 0 1 1 1 0 1 0 1 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 780. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 1 -2 0 2 -1 0 -1 -2 2 -2 -1 1 1 0 -2 0 2] [-2 4 2 1 1 -1 2 0 -1 1 -1 -1 2 0 0 1 -1 -1 1 2 1 -2] [-2 2 4 1 2 0 2 1 -2 1 1 -1 2 -1 1 0 0 -2 0 2 0 -1] [ 0 1 1 4 2 -1 1 2 1 2 -1 0 2 -1 -2 0 0 -1 -1 1 0 1] [-1 1 2 2 4 0 1 2 -1 2 -1 1 1 -2 -1 0 0 -1 0 1 0 1] [ 1 -1 0 -1 0 4 0 -1 0 0 1 -1 -2 2 1 1 -1 1 0 0 1 2] [-2 2 2 1 1 0 4 1 0 2 1 -1 2 -1 1 0 0 -2 0 2 0 0] [ 0 0 1 2 2 -1 1 4 1 2 0 0 2 -2 -2 0 1 -2 -1 0 -1 1] [ 2 -1 -2 1 -1 0 0 1 4 0 0 -1 0 1 -2 0 0 0 0 -1 0 2] [-1 1 1 2 2 0 2 2 0 4 -1 1 1 -2 -1 0 0 -1 0 1 0 0] [ 0 -1 1 -1 -1 1 1 0 0 -1 4 -1 0 1 2 0 0 -1 0 0 -1 0] [-1 -1 -1 0 1 -1 -1 0 -1 1 -1 6 -2 -3 -1 -1 0 2 -1 -1 -2 0] [-2 2 2 2 1 -2 2 2 0 1 0 -2 6 -2 1 1 -1 -2 -1 1 1 -1] [ 2 0 -1 -1 -2 2 -1 -2 1 -2 1 -3 -2 6 0 1 0 1 2 0 2 1] [-2 0 1 -2 -1 1 1 -2 -2 -1 2 -1 1 0 6 0 -2 0 0 0 1 -1] [-1 1 0 0 0 1 0 0 0 0 0 -1 1 1 0 4 -1 0 0 1 1 0] [ 1 -1 0 0 0 -1 0 1 0 0 0 0 -1 0 -2 -1 4 -1 0 0 -1 1] [ 1 -1 -2 -1 -1 1 -2 -2 0 -1 -1 2 -2 1 0 0 -1 4 0 -1 1 1] [ 0 1 0 -1 0 0 0 -1 0 0 0 -1 -1 2 0 0 0 0 4 0 1 -1] [-2 2 2 1 1 0 2 0 -1 1 0 -1 1 0 0 1 0 -1 0 4 1 -1] [ 0 1 0 0 0 1 0 -1 0 0 -1 -2 1 2 1 1 -1 1 1 1 4 0] [ 2 -2 -1 1 1 2 0 1 2 0 0 0 -1 1 -1 0 1 1 -1 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 781. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 1 0 0 1 -1 1 -1 -1 0 1 0 0 -1 2 0 -1 2 0] [ 2 4 1 -2 -1 -1 0 -1 1 0 0 1 1 0 0 -1 -1 2 -1 0 1 -1] [ 2 1 6 1 2 0 2 -1 0 2 -2 0 -2 0 -2 -1 0 1 2 0 1 2] [-1 -2 1 6 3 2 2 1 -2 -1 -2 -1 0 1 -1 -1 -1 -2 1 2 -2 2] [ 1 -1 2 3 6 1 1 2 -1 1 -1 -2 0 2 -2 -2 1 -1 2 1 -1 1] [ 0 -1 0 2 1 4 2 1 -2 -1 0 -1 0 -1 -1 0 1 0 1 -1 1 0] [ 0 0 2 2 1 2 4 -1 -1 0 0 0 0 0 -2 0 0 0 1 0 0 0] [ 1 -1 -1 1 2 1 -1 4 -2 -1 0 -2 1 1 1 0 0 -1 1 0 1 0] [-1 1 0 -2 -1 -2 -1 -2 4 1 0 2 -1 -1 0 0 0 1 0 0 -1 0] [ 1 0 2 -1 1 -1 0 -1 1 4 0 1 -1 0 0 0 1 1 1 -1 1 0] [-1 0 -2 -2 -1 0 0 0 0 0 4 0 1 0 0 1 1 -1 -1 0 1 -2] [-1 1 0 -1 -2 -1 0 -2 2 1 0 4 -1 -2 1 0 0 1 0 0 -1 0] [ 0 1 -2 0 0 0 0 1 -1 -1 1 -1 4 1 1 -1 0 0 -1 1 1 -1] [ 1 0 0 1 2 -1 0 1 -1 0 0 -2 1 4 -1 0 -1 -1 -1 1 0 0] [ 0 0 -2 -1 -2 -1 -2 1 0 0 0 1 1 -1 4 0 -1 0 0 0 0 0] [ 0 -1 -1 -1 -2 0 0 0 0 0 1 0 -1 0 0 4 0 0 -1 -1 1 0] [-1 -1 0 -1 1 1 0 0 0 1 1 0 0 -1 -1 0 4 0 1 -1 1 0] [ 2 2 1 -2 -1 0 0 -1 1 1 -1 1 0 -1 0 0 0 4 0 -1 2 0] [ 0 -1 2 1 2 1 1 1 0 1 -1 0 -1 -1 0 -1 1 0 4 -1 0 1] [-1 0 0 2 1 -1 0 0 0 -1 0 0 1 1 0 -1 -1 -1 -1 4 -1 1] [ 2 1 1 -2 -1 1 0 1 -1 1 1 -1 1 0 0 1 1 2 0 -1 6 -1] [ 0 -1 2 2 1 0 0 0 0 0 -2 0 -1 0 0 0 0 0 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 782. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 2 -2 -1 0 0 -2 -1 0 -1 1 2 2 2 -1 1 -2 0 1] [-1 4 -2 0 -1 1 2 -1 1 1 -1 1 2 -1 -2 0 -1 2 -1 1 1 1] [ 2 -2 4 -1 1 -1 -2 1 0 -1 0 0 -2 1 1 0 0 0 1 -1 0 -1] [ 0 0 -1 4 -1 1 2 0 0 1 1 -1 -1 -1 2 0 0 0 -1 1 0 0] [ 2 -1 1 -1 4 -2 -1 -1 -1 -2 0 0 1 1 2 2 1 -1 1 -2 -1 1] [-2 1 -1 1 -2 4 2 1 0 2 0 0 -1 0 -2 -2 -2 2 -2 2 0 0] [-1 2 -2 2 -1 2 4 -1 0 1 0 0 1 0 -1 -1 -1 1 -1 1 0 0] [ 0 -1 1 0 -1 1 -1 4 -1 0 0 1 -2 1 0 -1 1 1 0 0 -1 0] [ 0 1 0 0 -1 0 0 -1 4 0 -1 -1 -1 0 -2 0 0 1 0 0 1 0] [-2 1 -1 1 -2 2 1 0 0 4 0 -1 -1 -2 -1 -1 -2 1 -2 2 0 0] [-1 -1 0 1 0 0 0 0 -1 0 4 -1 1 0 2 -1 0 0 -1 0 1 -2] [ 0 1 0 -1 0 0 0 1 -1 -1 -1 4 0 1 -1 0 0 0 0 1 0 1] [-1 2 -2 -1 1 -1 1 -2 -1 -1 1 0 6 -1 0 0 0 0 1 -1 1 0] [ 1 -1 1 -1 1 0 0 1 0 -2 0 1 -1 4 -1 0 1 0 0 -1 0 0] [ 2 -2 1 2 2 -2 -1 0 -2 -1 2 -1 0 -1 6 1 1 -2 1 -1 -1 0] [ 2 0 0 0 2 -2 -1 -1 0 -1 -1 0 0 0 1 4 2 -1 0 -1 0 2] [ 2 -1 0 0 1 -2 -1 1 0 -2 0 0 0 1 1 2 4 -1 1 -2 0 1] [-1 2 0 0 -1 2 1 1 1 1 0 0 0 0 -2 -1 -1 4 -1 1 1 0] [ 1 -1 1 -1 1 -2 -1 0 0 -2 -1 0 1 0 1 0 1 -1 4 -2 -1 0] [-2 1 -1 1 -2 2 1 0 0 2 0 1 -1 -1 -1 -1 -2 1 -2 4 1 0] [ 0 1 0 0 -1 0 0 -1 1 0 1 0 1 0 -1 0 0 1 -1 1 4 -1] [ 1 1 -1 0 1 0 0 0 0 0 -2 1 0 0 0 2 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 783. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 -1 1 -1 -2 2 2 2 1 2 1 1 -1 1 0 1] [ 1 4 -1 -2 2 1 2 0 2 0 -2 -1 1 1 0 -1 -1 2 0 2 1 -1] [-1 -1 4 0 0 0 0 -1 0 -1 2 -2 0 0 1 1 0 0 -1 0 1 0] [-1 -2 0 4 -2 -1 -2 -1 -2 0 1 1 -1 -1 0 1 1 0 0 -2 -1 -1] [ 1 2 0 -2 4 2 2 -1 2 1 -2 0 1 2 0 1 0 0 1 2 0 0] [ 2 1 0 -1 2 4 1 -2 1 -1 -1 0 2 1 0 2 0 0 -1 1 0 0] [ 1 2 0 -2 2 1 4 -1 2 0 -2 0 2 2 0 -1 0 0 1 2 0 0] [-1 0 -1 -1 -1 -2 -1 4 0 0 1 0 -2 -1 -1 -2 -1 0 1 0 1 1] [ 1 2 0 -2 2 1 2 0 4 -1 -1 -1 1 2 0 0 -1 0 0 1 0 0] [-1 0 -1 0 1 -1 0 0 -1 4 -1 1 0 0 -1 0 1 -1 2 0 -1 -1] [-2 -2 2 1 -2 -1 -2 1 -1 -1 6 -3 -1 -1 -1 1 -2 0 -1 -1 0 1] [ 2 -1 -2 1 0 0 0 0 -1 1 -3 6 0 1 1 1 2 0 1 -1 0 1] [ 2 1 0 -1 1 2 2 -2 1 0 -1 0 4 1 0 1 0 0 -1 1 0 0] [ 2 1 0 -1 2 1 2 -1 2 0 -1 1 1 4 1 2 1 0 1 1 -1 1] [ 1 0 1 0 0 0 0 -1 0 -1 -1 1 0 1 4 0 0 1 -1 -1 1 1] [ 2 -1 1 1 1 2 -1 -2 0 0 1 1 1 2 0 6 2 0 -1 0 -1 1] [ 1 -1 0 1 0 0 0 -1 -1 1 -2 2 0 1 0 2 4 -1 1 0 -1 0] [ 1 2 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 -1 4 -1 1 2 0] [-1 0 -1 0 1 -1 1 1 0 2 -1 1 -1 1 -1 -1 1 -1 4 0 -1 0] [ 1 2 0 -2 2 1 2 0 1 0 -1 -1 1 1 -1 0 0 1 0 4 1 0] [ 0 1 1 -1 0 0 0 1 0 -1 0 0 0 -1 1 -1 -1 2 -1 1 4 0] [ 1 -1 0 -1 0 0 0 1 0 -1 1 1 0 1 1 1 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 784. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 0 -1 -2 1 1 1 -1 1 -1 -1 1 -1 -1 -1 1 0 -2] [ 0 4 0 0 -1 2 2 1 2 -1 1 1 1 2 1 -1 1 0 0 0 0 0] [ 0 0 4 2 -2 1 0 0 -1 0 -1 1 -1 0 2 -1 2 1 1 1 0 0] [ 0 0 2 4 -1 0 1 0 -2 0 -2 0 -2 0 1 0 1 2 -1 2 -1 0] [ 1 -1 -2 -1 4 -2 0 -2 1 1 1 -1 0 -1 -2 0 -1 -1 -1 0 -1 -1] [ 0 2 1 0 -2 4 1 1 0 -1 1 1 1 2 1 -1 0 1 1 -1 0 0] [-1 2 0 1 0 1 4 1 0 0 0 0 -1 2 1 -1 1 0 0 1 0 0] [-2 1 0 0 -2 1 1 4 0 0 -1 0 0 2 2 0 0 0 0 0 0 2] [ 1 2 -1 -2 1 0 0 0 6 -1 1 0 1 0 -1 0 -1 -2 1 0 0 1] [ 1 -1 0 0 1 -1 0 0 -1 4 -1 -2 -1 0 1 1 0 -1 -1 1 -1 0] [ 1 1 -1 -2 1 1 0 -1 1 -1 4 0 2 1 -1 0 -1 -1 1 -1 0 -1] [-1 1 1 0 -1 1 0 0 0 -2 0 4 0 0 0 -1 1 0 0 -1 1 0] [ 1 1 -1 -2 0 1 -1 0 1 -1 2 0 4 0 -1 -1 0 0 0 -2 1 -1] [-1 2 0 0 -1 2 2 2 0 0 1 0 0 4 1 0 0 0 0 0 0 1] [-1 1 2 1 -2 1 1 2 -1 1 -1 0 -1 1 4 -1 1 0 1 1 -1 1] [ 1 -1 -1 0 0 -1 -1 0 0 1 0 -1 -1 0 -1 4 -1 -1 -1 1 0 1] [-1 1 2 1 -1 0 1 0 -1 0 -1 1 0 0 1 -1 4 1 0 0 1 0] [-1 0 1 2 -1 1 0 0 -2 -1 -1 0 0 0 0 -1 1 4 0 0 0 0] [-1 0 1 -1 -1 1 0 0 1 -1 1 0 0 0 1 -1 0 0 4 -1 0 1] [ 1 0 1 2 0 -1 1 0 0 1 -1 -1 -2 0 1 1 0 0 -1 4 0 0] [ 0 0 0 -1 -1 0 0 0 0 -1 0 1 1 0 -1 0 1 0 0 0 4 -1] [-2 0 0 0 -1 0 0 2 1 0 -1 0 -1 1 1 1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 785. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 1 -1 0 1 1 -1 1 -2 0 0 0 -1 2 2 0 -1 1 0] [-2 4 2 1 -1 1 0 -1 0 1 0 2 1 0 -1 0 -1 -2 -1 2 0 1] [-2 2 4 2 0 2 1 -1 0 1 1 2 1 -1 0 1 -2 -2 -1 2 1 1] [-2 1 2 4 1 1 1 -1 0 1 1 1 0 -1 -1 1 -2 -2 0 0 1 0] [ 1 -1 0 1 4 0 0 0 1 0 0 0 1 -1 0 1 -1 0 0 0 2 0] [-1 1 2 1 0 4 2 1 0 2 -1 1 2 1 0 2 -1 -1 -2 1 -1 2] [ 0 0 1 1 0 2 4 0 1 2 0 0 1 1 1 2 -1 -1 -1 1 1 2] [ 1 -1 -1 -1 0 1 0 4 1 1 -2 -1 1 1 0 0 2 1 0 0 -2 1] [ 1 0 0 0 1 0 1 1 4 0 -1 -1 1 -1 -1 0 1 0 0 2 1 1] [-1 1 1 1 0 2 2 1 0 4 -1 1 2 1 0 2 -1 -2 0 0 0 2] [ 1 0 1 1 0 -1 0 -2 -1 -1 6 1 -2 -2 1 -1 -1 -1 1 -2 1 -1] [-2 2 2 1 0 1 0 -1 -1 1 1 4 1 -1 0 1 -2 -2 -1 0 0 1] [ 0 1 1 0 1 2 1 1 1 2 -2 1 4 1 -1 1 0 -1 -2 2 0 2] [ 0 0 -1 -1 -1 1 1 1 -1 1 -2 -1 1 4 1 0 1 1 -1 1 -2 0] [ 0 -1 0 -1 0 0 1 0 -1 0 1 0 -1 1 4 0 -1 0 1 0 -1 0] [-1 0 1 1 1 2 2 0 0 2 -1 1 1 0 0 4 -1 -1 -1 0 1 2] [ 2 -1 -2 -2 -1 -1 -1 2 1 -1 -1 -2 0 1 -1 -1 4 2 0 0 -1 0] [ 2 -2 -2 -2 0 -1 -1 1 0 -2 -1 -2 -1 1 0 -1 2 4 0 0 0 -1] [ 0 -1 -1 0 0 -2 -1 0 0 0 1 -1 -2 -1 1 -1 0 0 4 -2 0 -1] [-1 2 2 0 0 1 1 0 2 0 -2 0 2 1 0 0 0 0 -2 6 1 1] [ 1 0 1 1 2 -1 1 -2 1 0 1 0 0 -2 -1 1 -1 0 0 1 6 0] [ 0 1 1 0 0 2 2 1 1 2 -1 1 2 0 0 2 0 -1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 786. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 -2 2 1 1 0 -2 1 -1 -1 0 1 -1 -2 1 1 -1 -1] [-2 4 2 1 -2 2 0 -1 -1 -1 2 0 1 0 1 0 -1 0 -1 -1 1 0] [-2 2 4 -1 -2 1 -2 0 -1 0 2 -1 0 1 0 0 0 0 -1 -1 0 0] [ 1 1 -1 4 -1 -1 1 0 1 0 0 2 1 -2 0 0 -1 -2 -1 1 0 -1] [ 1 -2 -2 -1 4 0 1 -1 1 0 -1 0 0 0 0 1 1 1 1 1 -1 1] [-2 2 1 -1 0 4 0 -1 0 -1 1 0 0 0 1 0 0 2 -1 0 1 1] [ 2 0 -2 1 1 0 4 0 1 -1 -1 0 -1 -1 1 1 -1 -1 0 1 0 0] [ 1 -1 0 0 -1 -1 0 4 0 -1 0 1 -1 -1 1 1 -1 -1 1 0 0 0] [ 1 -1 -1 1 1 0 1 0 4 1 -1 1 0 -1 0 -1 0 0 0 1 0 1] [ 0 -1 0 0 0 -1 -1 -1 1 4 0 -1 1 1 -2 -2 2 0 -1 1 1 -1] [-2 2 2 0 -1 1 -1 0 -1 0 4 0 1 1 1 0 1 0 -1 -1 1 1] [ 1 0 -1 2 0 0 0 1 1 -1 0 4 0 -1 0 1 -1 -1 1 1 -1 0] [-1 1 0 1 0 0 -1 -1 0 1 1 0 4 -1 -1 -1 0 1 -1 0 0 -1] [-1 0 1 -2 0 0 -1 -1 -1 1 1 -1 -1 4 -1 0 1 0 1 -1 0 1] [ 0 1 0 0 0 1 1 1 0 -2 1 0 -1 -1 4 0 -1 0 0 -1 1 2] [ 1 0 0 0 1 0 1 1 -1 -2 0 1 -1 0 0 4 -1 -1 1 0 -1 0] [-1 -1 0 -1 1 0 -1 -1 0 2 1 -1 0 1 -1 -1 4 1 -1 0 1 0] [-2 0 0 -2 1 2 -1 -1 0 0 0 -1 1 0 0 -1 1 4 0 0 1 1] [ 1 -1 -1 -1 1 -1 0 1 0 -1 -1 1 -1 1 0 1 -1 0 4 -1 -1 1] [ 1 -1 -1 1 1 0 1 0 1 1 -1 1 0 -1 -1 0 0 0 -1 4 0 -1] [-1 1 0 0 -1 1 0 0 0 1 1 -1 0 0 1 -1 1 1 -1 0 4 0] [-1 0 0 -1 1 1 0 0 1 -1 1 0 -1 1 2 0 0 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 787. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 1 1 2 -1 1 -2 -2 1 1 2 1 -1 2 -1 1 -1 1] [ 1 4 0 -2 1 0 0 0 0 1 -2 0 -1 0 2 2 -1 0 0 2 -2 2] [-1 0 4 -1 2 0 0 0 2 1 2 2 0 0 -2 -2 2 -2 0 1 -1 0] [-1 -2 -1 4 -2 -1 0 0 0 -1 2 0 1 0 0 -1 0 0 -1 -2 1 0] [-1 1 2 -2 6 -1 -1 -2 2 -1 0 1 1 0 0 1 -1 -2 2 2 1 -2] [ 1 0 0 -1 -1 4 -1 1 1 1 -2 -1 0 -1 1 1 1 1 0 0 -1 -1] [ 1 0 0 0 -1 -1 4 2 -2 -1 1 1 0 2 0 0 0 1 0 0 1 0] [ 2 0 0 0 -2 1 2 4 -1 1 -1 -1 0 1 0 0 0 2 0 0 -1 0] [-1 0 2 0 2 1 -2 -1 4 0 0 1 0 -1 0 -1 1 -2 0 0 0 0] [ 1 1 1 -1 -1 1 -1 1 0 4 -1 -1 -1 0 -1 -1 1 0 -1 1 -2 2] [-2 -2 2 2 0 -2 1 -1 0 -1 6 2 0 1 -3 -2 1 -2 0 0 1 -1] [-2 0 2 0 1 -1 1 -1 1 -1 2 4 0 0 -1 -1 1 -2 0 0 1 0] [ 1 -1 0 1 1 0 0 0 0 -1 0 0 4 0 1 0 -1 0 0 0 1 -1] [ 1 0 0 0 0 -1 2 1 -1 0 1 0 0 4 0 1 0 0 1 0 0 0] [ 2 2 -2 0 0 1 0 0 0 -1 -3 -1 1 0 6 2 -2 2 0 0 0 1] [ 1 2 -2 -1 1 1 0 0 -1 -1 -2 -1 0 1 2 6 -1 1 1 1 -1 -1] [-1 -1 2 0 -1 1 0 0 1 1 1 1 -1 0 -2 -1 4 -1 -1 -1 -1 1] [ 2 0 -2 0 -2 1 1 2 -2 0 -2 -2 0 0 2 1 -1 4 0 0 0 0] [-1 0 0 -1 2 0 0 0 0 -1 0 0 0 1 0 1 -1 0 4 0 1 -2] [ 1 2 1 -2 2 0 0 0 0 1 0 0 0 0 0 1 -1 0 0 4 0 0] [-1 -2 -1 1 1 -1 1 -1 0 -2 1 1 1 0 0 -1 -1 0 1 0 6 -2] [ 1 2 0 0 -2 -1 0 0 0 2 -1 0 -1 0 1 -1 1 0 -2 0 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 788. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -2 2 2 0 1 2 0 -1 1 1 0 1 -1 1 1 -1 2] [ 1 4 0 -2 2 -2 0 0 1 0 2 1 -1 -1 -1 0 1 -2 1 -1 1 1] [-1 0 4 -1 -1 1 -2 0 -1 0 -2 1 -1 0 1 1 -2 -1 0 -1 0 0] [-1 -2 -1 4 -2 2 1 0 0 0 -2 -2 1 1 1 0 0 2 0 1 -1 0] [ 1 2 -1 -2 4 -2 0 -1 0 -1 2 1 -1 -1 -1 -1 2 -2 1 0 1 0] [-2 -2 1 2 -2 4 -1 -1 0 -1 -2 -1 0 0 0 1 -2 2 -1 0 0 -1] [ 2 0 -2 1 0 -1 4 2 0 0 2 0 0 1 1 -1 1 0 0 1 -1 2] [ 2 0 0 0 -1 -1 2 4 0 1 0 0 -1 2 2 0 0 0 0 0 -2 2] [ 0 1 -1 0 0 0 0 0 4 -1 0 1 0 -1 -1 1 0 1 1 1 1 0] [ 1 0 0 0 -1 -1 0 1 -1 4 -1 -1 1 0 1 -1 0 0 -1 -1 -1 1] [ 2 2 -2 -2 2 -2 2 0 0 -1 6 1 -1 0 -2 0 1 -1 1 1 0 0] [ 0 1 1 -2 1 -1 0 0 1 -1 1 4 0 0 -1 1 0 -1 0 0 0 0] [-1 -1 -1 1 -1 0 0 -1 0 1 -1 0 4 0 -1 -1 1 0 -2 0 0 0] [ 1 -1 0 1 -1 0 1 2 -1 0 0 0 0 4 1 0 0 0 0 1 -2 1] [ 1 -1 1 1 -1 0 1 2 -1 1 -2 -1 -1 1 4 -1 -1 0 0 0 -1 2] [ 0 0 1 0 -1 1 -1 0 1 -1 0 1 -1 0 -1 4 -1 1 1 0 0 -1] [ 1 1 -2 0 2 -2 1 0 0 0 1 0 1 0 -1 -1 4 -1 0 0 0 0] [-1 -2 -1 2 -2 2 0 0 1 0 -1 -1 0 0 0 1 -1 4 0 1 0 -1] [ 1 1 0 0 1 -1 0 0 1 -1 1 0 -2 0 0 1 0 0 4 1 0 0] [ 1 -1 -1 1 0 0 1 0 1 -1 1 0 0 1 0 0 0 1 1 4 0 0] [-1 1 0 -1 1 0 -1 -2 1 -1 0 0 0 -2 -1 0 0 0 0 0 4 -1] [ 2 1 0 0 0 -1 2 2 0 1 0 0 0 1 2 -1 0 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 789. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 1 1 -1 -2 -1 -1 2 1 2 1 -1 2 2 1 0 -2 1] [-2 4 2 -1 1 -2 -1 2 2 0 1 -1 0 0 0 -1 -1 -2 -1 0 2 0] [-2 2 4 0 2 -1 -1 0 2 -1 1 -1 0 -2 0 1 -2 -2 -1 0 0 0] [ 1 -1 0 4 0 1 2 -1 1 -1 1 -1 -1 0 -1 2 -1 0 1 0 -1 0] [-1 1 2 0 4 -2 -2 0 1 1 2 1 0 -1 0 -1 -1 -1 -2 0 0 0] [ 1 -2 -1 1 -2 4 2 -2 -1 -1 -1 0 -1 1 0 2 0 0 1 1 -2 1] [ 1 -1 -1 2 -2 2 4 0 0 -1 0 -1 -1 1 0 1 0 0 2 1 -1 1] [-1 2 0 -1 0 -2 0 4 1 0 1 0 0 0 0 -2 0 -1 -1 -1 2 -1] [-2 2 2 1 1 -1 0 1 4 -1 2 -1 -1 -2 0 0 -2 -2 0 -1 2 0] [-1 0 -1 -1 1 -1 -1 0 -1 4 0 0 0 1 0 0 1 0 0 1 0 0] [-1 1 1 1 2 -1 0 1 2 0 4 1 0 -1 -1 -1 -1 -1 -1 0 1 -1] [ 2 -1 -1 -1 1 0 -1 0 -1 0 1 6 2 2 2 -3 1 1 -1 0 -2 1] [ 1 0 0 -1 0 -1 -1 0 -1 0 0 2 4 0 0 -2 2 2 0 -1 0 0] [ 2 0 -2 0 -1 1 1 0 -2 1 -1 2 0 6 1 0 1 0 1 1 -1 1] [ 1 0 0 -1 0 0 0 0 0 0 -1 2 0 1 4 -1 1 0 1 1 -1 2] [-1 -1 1 2 -1 2 1 -2 0 0 -1 -3 -2 0 -1 6 -1 -1 1 1 -1 0] [ 2 -1 -2 -1 -1 0 0 0 -2 1 -1 1 2 1 1 -1 4 2 1 0 0 1] [ 2 -2 -2 0 -1 0 0 -1 -2 0 -1 1 2 0 0 -1 2 4 1 0 0 0] [ 1 -1 -1 1 -2 1 2 -1 0 0 -1 -1 0 1 1 1 1 1 4 0 0 1] [ 0 0 0 0 0 1 1 -1 -1 1 0 0 -1 1 1 1 0 0 0 4 -1 1] [-2 2 0 -1 0 -2 -1 2 2 0 1 -2 0 -1 -1 -1 0 0 0 -1 6 -2] [ 1 0 0 0 0 1 1 -1 0 0 -1 1 0 1 2 0 1 0 1 1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 790. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 1 -2 2 1 2 2 -1 -1 1 1 2 -1 -2 1 -2 1 -2 -2] [-1 4 0 0 -1 1 -1 -2 -1 0 -1 2 -2 1 -1 2 2 -2 -1 0 1 1] [ 1 0 4 0 0 -2 0 1 2 0 -2 1 0 2 2 0 1 -1 -2 0 -2 0] [ 2 0 0 4 1 -1 1 0 0 2 0 -1 0 1 0 1 -1 0 0 2 -2 0] [ 1 -1 0 1 6 -2 -2 2 1 0 1 0 -1 -1 3 -1 1 -1 -2 0 -2 -1] [-2 1 -2 -1 -2 6 -2 -1 -2 -2 0 1 1 -1 -2 1 1 0 3 -2 1 1] [ 2 -1 0 1 -2 -2 6 -1 1 1 1 -3 2 1 -1 -1 -4 2 1 1 -1 -1] [ 1 -2 1 0 2 -1 -1 4 2 0 0 0 0 -1 3 -2 0 0 -1 0 -1 -1] [ 2 -1 2 0 1 -2 1 2 4 0 0 0 0 1 3 -1 0 0 -2 0 -2 -2] [ 2 0 0 2 0 -2 1 0 0 4 0 0 -1 0 0 0 -2 0 -1 2 0 -1] [-1 -1 -2 0 1 0 1 0 0 0 4 -1 0 -1 -1 0 -1 0 2 0 0 0] [-1 2 1 -1 0 1 -3 0 0 0 -1 4 -2 0 1 1 2 -2 -1 -1 1 1] [ 1 -2 0 0 -1 1 2 0 0 -1 0 -2 4 0 0 -1 -2 2 2 -1 -1 0] [ 1 1 2 1 -1 -1 1 -1 1 0 -1 0 0 4 0 1 1 0 -1 0 -2 0] [ 2 -1 2 0 3 -2 -1 3 3 0 -1 1 0 0 6 -1 0 -1 -2 0 -1 -1] [-1 2 0 1 -1 1 -1 -2 -1 0 0 1 -1 1 -1 4 1 -2 1 1 1 2] [-2 2 1 -1 1 1 -4 0 0 -2 -1 2 -2 1 0 1 6 -2 -2 -1 0 1] [ 1 -2 -1 0 -1 0 2 0 0 0 0 -2 2 0 -1 -2 -2 4 1 0 0 -1] [-2 -1 -2 0 -2 3 1 -1 -2 -1 2 -1 2 -1 -2 1 -2 1 6 -1 1 2] [ 1 0 0 2 0 -2 1 0 0 2 0 -1 -1 0 0 1 -1 0 -1 4 1 0] [-2 1 -2 -2 -2 1 -1 -1 -2 0 0 1 -1 -2 -1 1 0 0 1 1 6 1] [-2 1 0 0 -1 1 -1 -1 -2 -1 0 1 0 0 -1 2 1 -1 2 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 791. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 1 1 0 -1 0 -1 0 1 2 -1 -1 0 -1 -1 0 1 -1 -2] [ 2 4 -2 1 2 2 0 1 1 -2 0 1 1 -1 0 -1 -1 -1 1 -1 -2 -2] [-1 -2 6 -3 -1 -2 2 -1 -2 -1 -1 1 2 1 2 -1 -1 -1 -1 0 -1 -1] [ 2 1 -3 6 -1 1 -1 -1 1 -1 2 1 -1 -2 -1 -1 2 -1 -1 0 -1 -1] [ 1 2 -1 -1 4 2 1 0 0 -1 -1 1 2 1 -1 0 0 -1 2 0 -1 0] [ 1 2 -2 1 2 4 -1 1 0 -1 1 1 0 -1 -1 0 0 0 2 0 -1 -1] [ 0 0 2 -1 1 -1 4 -2 0 0 -1 0 1 1 0 0 0 -2 0 0 0 -1] [-1 1 -1 -1 0 1 -2 4 0 -1 0 -1 0 0 0 0 -1 2 0 -1 -1 1] [ 0 1 -2 1 0 0 0 0 4 1 -1 0 -1 -1 0 0 1 0 1 -1 1 1] [-1 -2 -1 -1 -1 -1 0 -1 1 6 -1 -2 -3 1 -2 2 1 2 1 2 3 1] [ 0 0 -1 2 -1 1 -1 0 -1 -1 4 0 -2 -2 0 0 0 0 -1 -1 -1 -1] [ 1 1 1 1 1 1 0 -1 0 -2 0 4 2 0 1 -1 0 -2 1 0 -2 -2] [ 2 1 2 -1 2 0 1 0 -1 -3 -2 2 6 1 1 -1 -1 -1 0 1 -1 0] [-1 -1 1 -2 1 -1 1 0 -1 1 -2 0 1 4 -1 1 0 0 0 1 1 1] [-1 0 2 -1 -1 -1 0 0 0 -2 0 1 1 -1 4 -2 -1 -1 0 -1 -1 0] [ 0 -1 -1 -1 0 0 0 0 0 2 0 -1 -1 1 -2 4 0 1 0 1 2 1] [-1 -1 -1 2 0 0 0 -1 1 1 0 0 -1 0 -1 0 4 0 0 0 1 2] [-1 -1 -1 -1 -1 0 -2 2 0 2 0 -2 -1 0 -1 1 0 4 0 1 2 2] [ 0 1 -1 -1 2 2 0 0 1 1 -1 1 0 0 0 0 0 0 4 0 0 0] [ 1 -1 0 0 0 0 0 -1 -1 2 -1 0 1 1 -1 1 0 1 0 4 2 0] [-1 -2 -1 -1 -1 -1 0 -1 1 3 -1 -2 -1 1 -1 2 1 2 0 2 6 2] [-2 -2 -1 -1 0 -1 -1 1 1 1 -1 -2 0 1 0 1 2 2 0 0 2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 792. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 1 1 1 1 2 1 2 1 0 2 2 -1 1 -1 1 0 -2 1] [ 1 4 -1 2 0 -1 1 2 1 0 1 -1 -1 0 2 -2 2 -2 0 0 -1 1] [-2 -1 4 -2 -1 -1 -2 -1 -2 -1 0 -1 -1 -1 -2 2 0 0 1 1 2 -1] [ 1 2 -2 6 0 -1 0 1 2 2 0 -2 0 1 3 -1 -1 0 -1 1 0 2] [ 1 0 -1 0 4 1 -1 0 0 2 0 1 1 0 1 0 1 0 1 -2 -2 -1] [ 1 -1 -1 -1 1 6 -2 -2 -1 1 -1 2 3 2 -2 0 -2 2 -1 0 1 1] [ 1 1 -2 0 -1 -2 6 1 2 -2 2 -1 0 0 1 -2 0 -1 1 -1 -3 0] [ 1 2 -1 1 0 -2 1 4 2 0 1 0 -2 -1 3 -2 2 -2 0 0 -1 0] [ 2 1 -2 2 0 -1 2 2 4 0 2 0 -1 1 3 -1 1 -1 0 0 -2 0] [ 1 0 -1 2 2 1 -2 0 0 4 0 1 0 0 1 0 -1 0 0 0 0 0] [ 2 1 0 0 0 -1 2 1 2 0 4 0 -1 1 1 0 1 -2 2 0 -2 0] [ 1 -1 -1 -2 1 2 -1 0 0 1 0 4 0 0 0 0 0 0 0 -1 0 0] [ 0 -1 -1 0 1 3 0 -2 -1 0 -1 0 4 1 -1 0 -2 2 0 -1 0 1] [ 2 0 -1 1 0 2 0 -1 1 0 1 0 1 4 0 0 0 1 0 0 -1 1] [ 2 2 -2 3 1 -2 1 3 3 1 1 0 -1 0 6 -1 1 -2 1 0 -1 1] [-1 -2 2 -1 0 0 -2 -2 -1 0 0 0 0 0 -1 4 -1 0 1 1 2 0] [ 1 2 0 -1 1 -2 0 2 1 -1 1 0 -2 0 1 -1 6 -2 0 -1 -2 -1] [-1 -2 0 0 0 2 -1 -2 -1 0 -2 0 2 1 -2 0 -2 4 -1 0 1 0] [ 1 0 1 -1 1 -1 1 0 0 0 2 0 0 0 1 1 0 -1 4 -1 -1 0] [ 0 0 1 1 -2 0 -1 0 0 0 0 -1 -1 0 0 1 -1 0 -1 4 3 1] [-2 -1 2 0 -2 1 -3 -1 -2 0 -2 0 0 -1 -1 2 -2 1 -1 3 6 1] [ 1 1 -1 2 -1 1 0 0 0 0 0 0 1 1 1 0 -1 0 0 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 793. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 1 2 2 2 1 2 0 -1 1 -1 -2 1 -1 0 2 2 2 -2] [ 2 4 0 -1 1 2 0 0 1 0 -1 -1 1 -1 -1 -1 -1 -1 1 2 0 -2] [ 0 0 4 2 -2 -1 0 -1 1 -1 -1 -1 0 0 2 1 1 2 0 1 -1 1] [ 0 -1 2 4 -2 -1 1 0 0 -1 -1 -1 1 0 2 0 1 2 -1 -1 1 1] [ 1 1 -2 -2 4 2 -1 1 -1 1 0 0 -1 0 -3 0 -1 -2 1 1 0 -1] [ 2 2 -1 -1 2 4 1 2 1 2 0 0 1 0 -3 0 -2 -1 2 2 0 -2] [ 2 0 0 1 -1 1 4 2 1 2 1 0 1 0 -1 0 -1 0 1 0 1 -1] [ 2 0 -1 0 1 2 2 4 1 3 1 0 0 0 -2 0 -2 -1 1 1 2 -2] [ 1 1 1 0 -1 1 1 1 4 0 1 1 0 1 1 0 -2 1 1 2 -1 -1] [ 2 0 -1 -1 1 2 2 3 0 6 0 0 1 -1 -3 1 -2 -2 2 0 2 -1] [ 0 -1 -1 -1 0 0 1 1 1 0 4 2 -1 0 -1 1 -1 0 1 1 -1 -1] [-1 -1 -1 -1 0 0 0 0 1 0 2 4 -1 0 0 0 0 0 1 -1 -2 0] [ 1 1 0 1 -1 1 1 0 0 1 -1 -1 4 0 0 0 0 0 1 -1 2 0] [-1 -1 0 0 0 0 0 0 1 -1 0 0 0 4 0 0 0 0 -1 -1 -1 1] [-2 -1 2 2 -3 -3 -1 -2 1 -3 -1 0 0 0 6 -1 1 2 -2 -1 0 2] [ 1 -1 1 0 0 0 0 0 0 1 1 0 0 0 -1 4 1 1 1 1 0 1] [-1 -1 1 1 -1 -2 -1 -2 -2 -2 -1 0 0 0 1 1 4 1 -1 -2 0 2] [ 0 -1 2 2 -2 -1 0 -1 1 -2 0 0 0 0 2 1 1 4 0 1 0 1] [ 2 1 0 -1 1 2 1 1 1 2 1 1 1 -1 -2 1 -1 0 4 1 0 -1] [ 2 2 1 -1 1 2 0 1 2 0 1 -1 -1 -1 -1 1 -2 1 1 6 0 -2] [ 2 0 -1 1 0 0 1 2 -1 2 -1 -2 2 -1 0 0 0 0 0 0 6 -1] [-2 -2 1 1 -1 -2 -1 -2 -1 -1 -1 0 0 1 2 1 2 1 -1 -2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 794. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 0 2 2 0 2 -2 1 1 0 -1 -1 1 -1 0 1 0 0 0] [ 0 4 1 0 1 -1 -1 -1 -1 0 2 1 1 -1 -2 -1 0 -2 1 -2 1 -1] [ 1 1 4 0 2 1 1 -2 0 -1 0 1 -1 -1 -1 -1 1 1 0 -2 1 1] [-1 0 0 4 -1 -1 -1 0 1 1 0 -2 1 2 -1 1 -1 -1 1 1 1 0] [ 0 1 2 -1 4 0 1 0 -2 -1 0 0 -1 -1 0 -1 1 1 -1 -2 0 1] [ 2 -1 1 -1 0 4 2 0 2 -1 -1 0 0 -1 1 0 1 1 0 0 -1 1] [ 2 -1 1 -1 1 2 4 0 0 -2 -1 0 0 -1 0 0 1 1 0 0 0 0] [ 0 -1 -2 0 0 0 0 4 1 1 0 0 1 0 1 2 -1 0 0 1 -2 1] [ 2 -1 0 1 -2 2 0 1 6 -1 -1 -1 1 1 1 1 0 0 2 1 -1 0] [-2 0 -1 1 -1 -1 -2 1 -1 4 0 1 0 0 0 1 -1 0 -1 0 0 1] [ 1 2 0 0 0 -1 -1 0 -1 0 4 2 0 0 -2 0 -2 -2 0 0 0 0] [ 1 1 1 -2 0 0 0 0 -1 1 2 6 0 -1 -1 0 0 0 0 -1 -1 0] [ 0 1 -1 1 -1 0 0 1 1 0 0 0 4 0 -1 1 0 -2 1 0 0 -1] [-1 -1 -1 2 -1 -1 -1 0 1 0 0 -1 0 4 1 0 0 -1 1 2 0 0] [-1 -2 -1 -1 0 1 0 1 1 0 -2 -1 -1 1 4 -1 1 1 0 1 -2 1] [ 1 -1 -1 1 -1 0 0 2 1 1 0 0 1 0 -1 4 -1 0 0 1 0 1] [-1 0 1 -1 1 1 1 -1 0 -1 -2 0 0 0 1 -1 4 1 0 -1 0 0] [ 0 -2 1 -1 1 1 1 0 0 0 -2 0 -2 -1 1 0 1 4 -1 0 0 1] [ 1 1 0 1 -1 0 0 0 2 -1 0 0 1 1 0 0 0 -1 4 0 0 -1] [ 0 -2 -2 1 -2 0 0 1 1 0 0 -1 0 2 1 1 -1 0 0 4 0 0] [ 0 1 1 1 0 -1 0 -2 -1 0 0 -1 0 0 -2 0 0 0 0 0 4 -1] [ 0 -1 1 0 1 1 0 1 0 1 0 0 -1 0 1 1 0 1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 795. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 2 1 -1 0 0 1 1 0 1 -1 1 1 1 -1 1 1 -1] [ 1 4 0 2 0 1 2 -1 -1 1 0 1 1 -1 0 0 1 -1 -1 0 0 1] [-1 0 4 0 1 -2 0 1 1 -1 -2 1 -1 0 1 1 -1 -2 -1 -2 -1 0] [ 1 2 0 4 -1 1 2 0 -1 0 0 0 -1 -1 1 1 2 -1 -1 0 -1 0] [ 2 0 1 -1 4 0 0 -1 0 -1 0 2 0 1 0 0 0 0 -1 0 1 0] [ 2 1 -2 1 0 4 1 0 0 1 1 1 1 0 -1 1 0 2 0 1 0 -1] [ 1 2 0 2 0 1 4 0 -1 0 -1 1 1 0 0 1 1 -1 -2 -1 -1 0] [-1 -1 1 0 -1 0 0 4 0 0 0 0 -1 1 -1 2 -1 0 -1 0 -1 -2] [ 0 -1 1 -1 0 0 -1 0 4 -1 -1 0 0 1 0 0 0 1 1 -1 -1 0] [ 0 1 -1 0 -1 1 0 0 -1 4 0 -1 1 0 -1 0 0 1 1 0 1 0] [ 1 0 -2 0 0 1 -1 0 -1 0 4 -1 0 -1 0 0 0 1 0 2 1 0] [ 1 1 1 0 2 1 1 0 0 -1 -1 4 1 0 -1 0 0 0 -1 -1 -1 -1] [ 0 1 -1 -1 0 1 1 -1 0 1 0 1 4 -1 0 -1 0 0 1 0 0 1] [ 1 -1 0 -1 1 0 0 1 1 0 -1 0 -1 4 -2 1 0 1 -1 0 1 -1] [-1 0 1 1 0 -1 0 -1 0 -1 0 -1 0 -2 4 -1 0 -2 1 0 -1 2] [ 1 0 1 1 0 1 1 2 0 0 0 0 -1 1 -1 4 0 0 -2 0 0 -1] [ 1 1 -1 2 0 0 1 -1 0 0 0 0 0 0 0 0 4 0 0 0 0 1] [ 1 -1 -2 -1 0 2 -1 0 1 1 1 0 0 1 -2 0 0 4 1 1 1 -1] [-1 -1 -1 -1 -1 0 -2 -1 1 1 0 -1 1 -1 1 -2 0 1 4 0 0 1] [ 1 0 -2 0 0 1 -1 0 -1 0 2 -1 0 0 0 0 0 1 0 4 2 0] [ 1 0 -1 -1 1 0 -1 -1 -1 1 1 -1 0 1 -1 0 0 1 0 2 4 0] [-1 1 0 0 0 -1 0 -2 0 0 0 -1 1 -1 2 -1 1 -1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 796. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 0 1 0 1 -1 -2 1 -1 0 0 1 -2 2 2 0 0 1 0 1] [ 0 6 -1 1 -1 1 0 3 -1 -2 1 -1 1 -1 2 -3 3 -2 2 1 0 -2] [-2 -1 6 2 -2 -2 -2 1 2 0 -1 -1 2 -2 1 1 -2 -2 0 1 1 -1] [ 0 1 2 4 -1 -2 0 1 -1 1 -1 0 0 0 1 0 1 0 1 1 0 -1] [ 1 -1 -2 -1 4 0 2 -1 0 1 0 1 -2 2 -2 1 0 2 0 0 -1 0] [ 0 1 -2 -2 0 4 -1 1 0 0 2 -1 0 0 0 0 0 0 -1 0 -1 0] [ 1 0 -2 0 2 -1 4 0 0 1 0 1 -1 2 0 -1 0 1 1 -1 0 0] [-1 3 1 1 -1 1 0 4 0 0 1 -1 1 -1 2 -2 1 -1 1 1 0 -2] [-2 -1 2 -1 0 0 0 0 4 -1 0 -1 1 -1 1 0 -3 -1 -1 -1 0 -1] [ 1 -2 0 1 1 0 1 0 -1 4 0 1 -1 1 -1 1 0 2 0 0 0 1] [-1 1 -1 -1 0 2 0 1 0 0 4 -1 0 0 1 -2 -1 -1 -1 0 0 -1] [ 0 -1 -1 0 1 -1 1 -1 -1 1 -1 4 -2 2 0 0 0 3 1 0 1 1] [ 0 1 2 0 -2 0 -1 1 1 -1 0 -2 4 -2 1 -1 0 -2 0 1 0 -1] [ 1 -1 -2 0 2 0 2 -1 -1 1 0 2 -2 4 -1 1 0 2 0 0 0 1] [-2 2 1 1 -2 0 0 2 1 -1 1 0 1 -1 4 -3 -1 -1 1 0 1 -2] [ 2 -3 1 0 1 0 -1 -2 0 1 -2 0 -1 1 -3 6 -1 0 -1 1 0 2] [ 2 3 -2 1 0 0 0 1 -3 0 -1 0 0 0 -1 -1 6 0 2 1 0 0] [ 0 -2 -2 0 2 0 1 -1 -1 2 -1 3 -2 2 -1 0 0 6 0 0 -1 1] [ 0 2 0 1 0 -1 1 1 -1 0 -1 1 0 0 1 -1 2 0 4 0 1 0] [ 1 1 1 1 0 0 -1 1 -1 0 0 0 1 0 0 1 1 0 0 4 1 -1] [ 0 0 1 0 -1 -1 0 0 0 0 0 1 0 0 1 0 0 -1 1 1 4 0] [ 1 -2 -1 -1 0 0 0 -2 -1 1 -1 1 -1 1 -2 2 0 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 797. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 2 2 -1 -1 1 -2 0 0 2 2 -1 -2 1 2 0 -2 0 0] [-2 4 -2 2 -2 -1 1 0 -1 2 1 -1 -1 -1 0 1 -1 0 -1 2 0 -1] [ 2 -2 4 -2 1 0 -1 1 0 -2 -1 1 1 1 0 -2 1 1 1 -2 1 0] [-2 2 -2 4 -2 -1 2 -1 -1 2 0 -1 -2 -2 -1 1 -1 -2 0 2 0 -1] [ 2 -2 1 -2 4 2 -2 -1 1 -1 0 1 1 1 1 -2 0 1 -1 -1 1 0] [ 2 -1 0 -1 2 4 -1 -2 2 0 0 -1 2 1 1 -2 1 2 -1 0 -1 1] [-1 1 -1 2 -2 -1 4 0 -1 1 1 -1 -1 -2 -1 0 0 0 0 1 0 0] [-1 0 1 -1 -1 -2 0 4 0 -1 0 0 -1 0 1 0 1 -1 1 -1 1 1] [ 1 -1 0 -1 1 2 -1 0 4 -1 -1 0 1 2 1 0 2 1 1 -1 0 2] [-2 2 -2 2 -1 0 1 -1 -1 4 0 0 -1 -2 0 0 -1 0 -1 2 -1 -1] [ 0 1 -1 0 0 0 1 0 -1 0 4 -2 -1 0 1 -1 0 1 -1 0 0 0] [ 0 -1 1 -1 1 -1 -1 0 0 0 -2 4 0 0 -1 1 -1 0 1 0 1 -1] [ 2 -1 1 -2 1 2 -1 -1 1 -1 -1 0 4 2 0 0 0 2 -1 -1 -1 1] [ 2 -1 1 -2 1 1 -2 0 2 -2 0 0 2 4 0 0 1 1 0 -2 0 1] [-1 0 0 -1 1 1 -1 1 1 0 1 -1 0 0 4 -1 1 0 0 0 0 1] [-2 1 -2 1 -2 -2 0 0 0 0 -1 1 0 0 -1 6 -2 -1 1 1 0 0] [ 1 -1 1 -1 0 1 0 1 2 -1 0 -1 0 1 1 -2 4 1 1 -1 -1 2] [ 2 0 1 -2 1 2 0 -1 1 0 1 0 2 1 0 -1 1 6 0 0 -1 0] [ 0 -1 1 0 -1 -1 0 1 1 -1 -1 1 -1 0 0 1 1 0 4 -1 0 0] [-2 2 -2 2 -1 0 1 -1 -1 2 0 0 -1 -2 0 1 -1 0 -1 4 0 -1] [ 0 0 1 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 -1 -1 0 0 4 -1] [ 0 -1 0 -1 0 1 0 1 2 -1 0 -1 1 1 1 0 2 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 798. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 1 0 -1 2 1 -1 -1 2 -2 -1 0 -1 -1 1 0 2] [ 1 4 0 -1 0 1 2 1 -1 2 2 1 0 1 0 -1 1 0 -2 0 -1 1] [-1 0 4 -1 -2 0 -1 -1 -1 1 0 0 2 0 2 1 1 2 0 -2 -1 0] [ 1 -1 -1 4 0 1 1 -1 0 -1 -1 -2 0 1 -2 -1 1 0 1 0 -1 1] [ 1 0 -2 0 4 1 1 1 0 -1 0 1 0 0 -1 -1 -1 -1 -1 1 0 1] [ 2 1 0 1 1 4 0 1 -1 0 1 0 1 2 -1 -2 1 1 -1 -1 0 2] [ 1 2 -1 1 1 0 4 0 -1 1 0 0 0 0 -1 -1 1 -1 -1 1 -1 1] [ 0 1 -1 -1 1 1 0 4 1 0 0 2 1 0 0 0 0 0 -1 0 2 1] [-1 -1 -1 0 0 -1 -1 1 4 -2 0 1 1 0 -1 1 -2 -1 1 1 0 -1] [ 2 2 1 -1 -1 0 1 0 -2 6 2 0 -2 1 0 1 2 1 -2 -1 -1 1] [ 1 2 0 -1 0 1 0 0 0 2 4 0 0 2 -1 0 0 0 -2 0 -2 1] [-1 1 0 -2 1 0 0 2 1 0 0 4 0 0 1 1 -1 0 0 0 0 0] [-1 0 2 0 0 1 0 1 1 -2 0 0 6 0 0 0 0 0 -1 -1 0 1] [ 2 1 0 1 0 2 0 0 0 1 2 0 0 4 -2 0 0 0 -1 0 -1 2] [-2 0 2 -2 -1 -1 -1 0 -1 0 -1 1 0 -2 4 0 0 1 1 -1 0 -1] [-1 -1 1 -1 -1 -2 -1 0 1 1 0 1 0 0 0 4 0 0 0 0 0 0] [ 0 1 1 1 -1 1 1 0 -2 2 0 -1 0 0 0 0 4 2 -1 -2 0 1] [-1 0 2 0 -1 1 -1 0 -1 1 0 0 0 0 1 0 2 4 0 -2 0 0] [-1 -2 0 1 -1 -1 -1 -1 1 -2 -2 0 -1 -1 1 0 -1 0 4 0 0 -1] [ 1 0 -2 0 1 -1 1 0 1 -1 0 0 -1 0 -1 0 -2 -2 0 4 1 0] [ 0 -1 -1 -1 0 0 -1 2 0 -1 -2 0 0 -1 0 0 0 0 0 1 6 -1] [ 2 1 0 1 1 2 1 1 -1 1 1 0 1 2 -1 0 1 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 799. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 1 2 2 0 2 1 0 -2 -2 -2 -1 -1 -1 -2 0 0 2] [ 2 4 1 -1 -1 0 2 2 -1 2 -1 1 -1 0 0 -1 -1 0 0 1 1 0] [ 2 1 4 0 0 0 0 0 -1 1 2 0 -1 -2 0 0 1 0 0 -1 -1 1] [ 1 -1 0 4 0 0 0 0 2 0 2 0 0 0 0 -1 -1 0 0 1 -1 0] [ 0 -1 0 0 4 2 -1 -2 -1 -1 0 -2 0 1 0 -1 1 -1 -2 0 -2 1] [ 1 0 0 0 2 4 1 1 -1 1 0 0 -1 -1 -1 -1 0 0 -2 -1 -2 1] [ 2 2 0 0 -1 1 4 3 0 1 0 1 -2 -1 -2 0 -2 -1 0 1 0 0] [ 2 2 0 0 -2 1 3 6 1 2 -1 1 -1 -2 -1 0 -3 0 1 -1 2 0] [ 0 -1 -1 2 -1 -1 0 1 4 -1 1 -1 1 1 0 0 -1 -1 0 1 0 -1] [ 2 2 1 0 -1 1 1 2 -1 6 -2 1 -2 -3 -1 1 0 0 -1 0 2 1] [ 1 -1 2 2 0 0 0 -1 1 -2 6 -1 1 -1 0 -1 1 0 -1 1 -3 0] [ 0 1 0 0 -2 0 1 1 -1 1 -1 4 -1 0 0 0 -1 2 1 0 1 0] [-2 -1 -1 0 0 -1 -2 -1 1 -2 1 -1 4 1 2 0 1 0 1 1 0 -1] [-2 0 -2 0 1 -1 -1 -2 1 -3 -1 0 1 6 1 -2 0 1 0 1 0 -1] [-2 0 0 0 0 -1 -2 -1 0 -1 0 0 2 1 4 0 0 1 2 0 0 -2] [-1 -1 0 -1 -1 -1 0 0 0 1 -1 0 0 -2 0 4 1 -1 1 0 1 0] [-1 -1 1 -1 1 0 -2 -3 -1 0 1 -1 1 0 0 1 4 0 -1 0 -1 1] [-1 0 0 0 -1 0 -1 0 -1 0 0 2 0 1 1 -1 0 4 1 -1 1 0] [-2 0 0 0 -2 -2 0 1 0 -1 -1 1 1 0 2 1 -1 1 6 -1 1 -2] [ 0 1 -1 1 0 -1 1 -1 1 0 1 0 1 1 0 0 0 -1 -1 6 0 -1] [ 0 1 -1 -1 -2 -2 0 2 0 2 -3 1 0 0 0 1 -1 1 1 0 6 0] [ 2 0 1 0 1 1 0 0 -1 1 0 0 -1 -1 -2 0 1 0 -2 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 800. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 2 2 -1 -1 -1 1 -2 -2 2 -2 1 1 2 1 1 -2 1 -1] [-2 4 -2 2 -1 0 -1 2 0 -1 2 2 -2 2 -1 -2 -1 -1 -2 2 -1 0] [ 2 -2 4 -2 2 1 0 -2 -1 1 -2 -1 2 -2 1 1 1 1 2 -2 0 1] [-2 2 -2 4 -2 -1 -1 0 0 0 2 2 -1 1 0 0 -2 -1 -2 2 0 1] [ 2 -1 2 -2 4 2 -1 0 -1 1 -1 0 2 -2 0 0 1 0 0 -1 0 -1] [ 2 0 1 -1 2 4 -2 0 -2 0 0 -1 2 -2 0 -1 1 1 -1 0 0 0] [-1 -1 0 -1 -1 -2 4 0 2 0 -1 0 0 0 0 1 0 1 2 -1 0 1] [-1 2 -2 0 0 0 0 4 1 0 1 0 -1 1 -2 -1 0 0 -2 1 -1 -2] [-1 0 -1 0 -1 -2 2 1 4 1 0 1 0 2 0 0 0 -1 0 0 1 0] [ 1 -1 1 0 1 0 0 0 1 4 -1 -1 1 -1 1 2 0 1 1 -1 0 1] [-2 2 -2 2 -1 0 -1 1 0 -1 4 1 -2 2 0 -1 -2 -1 -3 2 0 -1] [-2 2 -1 2 0 -1 0 0 1 -1 1 6 1 1 -1 -1 -2 -3 -2 2 -1 0] [ 2 -2 2 -1 2 2 0 -1 0 1 -2 1 6 -2 0 1 0 0 0 0 0 1] [-2 2 -2 1 -2 -2 0 1 2 -1 2 1 -2 6 -1 -1 -2 -2 -2 2 0 -1] [ 1 -1 1 0 0 0 0 -2 0 1 0 -1 0 -1 4 1 0 0 1 -1 2 2] [ 1 -2 1 0 0 -1 1 -1 0 2 -1 -1 1 -1 1 4 0 1 1 -1 0 1] [ 2 -1 1 -2 1 1 0 0 0 0 -2 -2 0 -2 0 0 4 1 2 -2 1 0] [ 1 -1 1 -1 0 1 1 0 -1 1 -1 -3 0 -2 0 1 1 4 2 -1 0 1] [ 1 -2 2 -2 0 -1 2 -2 0 1 -3 -2 0 -2 1 1 2 2 6 -3 0 2] [-2 2 -2 2 -1 0 -1 1 0 -1 2 2 0 2 -1 -1 -2 -1 -3 4 0 0] [ 1 -1 0 0 0 0 0 -1 1 0 0 -1 0 0 2 0 1 0 0 0 4 0] [-1 0 1 1 -1 0 1 -2 0 1 -1 0 1 -1 2 1 0 1 2 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 801. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 -2 -2 2 1 -1 -2 1 2 2 -1 0 0 -1 -1 2 -1 0 1] [ 2 4 2 1 -2 0 2 -1 -2 -1 -1 2 1 0 1 -1 1 -2 0 1 0 0] [ 2 2 4 0 -2 0 2 -1 -1 -1 1 2 1 0 1 -1 -1 -2 0 -1 1 1] [ 2 1 0 4 -1 0 1 1 0 -2 0 2 1 0 1 1 1 -1 1 0 -1 0] [-2 -2 -2 -1 4 0 -2 1 2 0 1 -1 -1 0 0 1 0 2 -1 -1 1 0] [-2 0 0 0 0 4 -1 -2 1 0 -1 0 -1 2 1 0 2 -1 -2 1 0 0] [ 2 2 2 1 -2 -1 4 0 -1 -1 1 2 0 -1 0 0 -1 -2 1 1 -1 1] [ 1 -1 -1 1 1 -2 0 4 0 -1 0 1 0 -2 0 1 -1 1 1 -2 0 0] [-1 -2 -1 0 2 1 -1 0 6 1 3 -1 -1 1 -1 0 1 2 0 1 1 0] [-2 -1 -1 -2 0 0 -1 -1 1 6 1 -3 0 1 0 0 0 1 0 1 0 0] [ 1 -1 1 0 1 -1 1 0 3 1 6 -1 1 0 -1 0 -1 1 1 0 0 1] [ 2 2 2 2 -1 0 2 1 -1 -3 -1 6 1 -2 1 1 0 -2 1 0 0 1] [ 2 1 1 1 -1 -1 0 0 -1 0 1 1 4 -1 1 0 0 -1 2 0 0 1] [-1 0 0 0 0 2 -1 -2 1 1 0 -2 -1 4 0 0 1 0 -2 0 1 0] [ 0 1 1 1 0 1 0 0 -1 0 -1 1 1 0 4 0 0 -2 0 -1 0 1] [ 0 -1 -1 1 1 0 0 1 0 0 0 1 0 0 0 4 0 0 0 -1 0 2] [-1 1 -1 1 0 2 -1 -1 1 0 -1 0 0 1 0 0 4 0 -1 2 0 -1] [-1 -2 -2 -1 2 -1 -2 1 2 1 1 -2 -1 0 -2 0 0 4 0 0 1 -1] [ 2 0 0 1 -1 -2 1 1 0 0 1 1 2 -2 0 0 -1 0 4 0 -1 1] [-1 1 -1 0 -1 1 1 -2 1 1 0 0 0 0 -1 -1 2 0 0 6 -1 -1] [ 0 0 1 -1 1 0 -1 0 1 0 0 0 0 1 0 0 0 1 -1 -1 4 0] [ 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 2 -1 -1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 802. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -1 -2 -1 -2 0 1 0 1 -1 0 2 2 -2 1 -1 -2 1 1] [ 0 4 -1 -1 0 -1 2 1 2 1 2 1 -1 -1 0 0 -1 1 0 -1 -2 0] [ 1 -1 4 0 -1 0 0 0 -1 1 0 -1 0 1 -1 0 0 -1 1 0 0 0] [ 2 -1 0 6 0 -1 0 0 1 0 1 -1 -2 -2 0 2 -3 1 0 1 -1 2] [-1 0 -1 0 4 -1 0 0 -1 -1 0 0 -1 1 0 1 -1 0 -1 2 -1 1] [-2 -1 0 -1 -1 4 -1 1 -1 -1 -1 -1 1 -1 -2 -2 1 -1 1 1 0 -2] [-1 2 0 0 0 -1 4 2 2 0 2 0 0 0 -1 0 0 1 0 1 -2 0] [-2 1 0 0 0 1 2 4 1 0 1 0 0 0 -2 0 0 -1 0 2 -1 0] [ 0 2 -1 1 -1 -1 2 1 4 0 1 1 -1 -1 0 0 -1 1 0 -1 -1 1] [ 1 1 1 0 -1 -1 0 0 0 4 0 1 -1 0 1 1 -1 1 1 -1 -1 1] [ 0 2 0 1 0 -1 2 1 1 0 4 -1 0 -1 -1 0 0 0 1 1 -2 0] [ 1 1 -1 -1 0 -1 0 0 1 1 -1 4 -1 1 2 1 -1 1 -1 -2 0 1] [-1 -1 0 -2 -1 1 0 0 -1 -1 0 -1 4 0 0 -2 2 -1 0 0 1 -2] [ 0 -1 1 -2 1 -1 0 0 -1 0 -1 1 0 4 0 1 1 -1 -1 0 2 0] [ 2 0 -1 0 0 -2 -1 -2 0 1 -1 2 0 0 4 1 -1 1 -1 -2 1 1] [ 2 0 0 2 1 -2 0 0 0 1 0 1 -2 1 1 4 -2 1 -1 1 1 2] [-2 -1 0 -3 -1 1 0 0 -1 -1 0 -1 2 1 -1 -2 6 -1 0 0 1 -2] [ 1 1 -1 1 0 -1 1 -1 1 1 0 1 -1 -1 1 1 -1 4 0 0 -1 0] [-1 0 1 0 -1 1 0 0 0 1 1 -1 0 -1 -1 -1 0 0 4 0 -1 0] [-2 -1 0 1 2 1 1 2 -1 -1 1 -2 0 0 -2 1 0 0 0 6 0 0] [ 1 -2 0 -1 -1 0 -2 -1 -1 -1 -2 0 1 2 1 1 1 -1 -1 0 6 -1] [ 1 0 0 2 1 -2 0 0 1 1 0 1 -2 0 1 2 -2 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 803. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 2 0 -1 -2 1 -1 0 0 1 0 0 -1 1 2 0 0 1 1] [-1 4 -1 0 0 1 1 2 -2 -1 -1 1 -1 0 1 1 1 0 1 0 1 -2] [ 0 -1 4 0 -2 1 -2 1 0 1 1 -2 1 0 0 1 -1 -1 -1 1 -1 2] [ 2 0 0 4 0 1 0 0 1 -1 -1 0 1 1 -1 -1 1 1 1 0 0 1] [ 2 0 -2 0 6 -1 2 0 0 -2 1 1 1 -1 2 -2 0 1 -1 -2 1 1] [ 0 1 1 1 -1 4 1 2 -1 1 -1 -1 1 -1 0 -1 -1 1 1 0 0 -1] [-1 1 -2 0 2 1 6 3 0 1 1 2 1 -1 0 -2 1 -1 2 -3 0 -2] [-2 2 1 0 0 2 3 6 -2 0 1 0 0 0 0 0 0 -2 1 -1 -1 -1] [ 1 -2 0 1 0 -1 0 -2 4 1 1 0 1 1 0 -1 1 0 0 0 -1 2] [-1 -1 1 -1 -2 1 1 0 1 4 1 -1 0 0 -1 0 0 -1 0 0 -1 0] [ 0 -1 1 -1 1 -1 1 1 1 1 4 0 0 1 1 0 0 -2 0 -1 -1 1] [ 0 1 -2 0 1 -1 2 0 0 -1 0 4 -1 -1 0 0 1 0 1 -2 0 -2] [ 1 -1 1 1 1 1 1 0 1 0 0 -1 4 -1 1 -2 0 1 0 0 1 2] [ 0 0 0 1 -1 -1 -1 0 1 0 1 -1 -1 4 -1 1 1 -1 0 1 0 1] [ 0 1 0 -1 2 0 0 0 0 -1 1 0 1 -1 4 -1 -1 0 0 0 0 1] [-1 1 1 -1 -2 -1 -2 0 -1 0 0 0 -2 1 -1 4 1 -1 -1 1 0 0] [ 1 1 -1 1 0 -1 1 0 1 0 0 1 0 1 -1 1 4 0 1 0 1 0] [ 2 0 -1 1 1 1 -1 -2 0 -1 -2 0 1 -1 0 -1 0 4 0 1 2 0] [ 0 1 -1 1 -1 1 2 1 0 0 0 1 0 0 0 -1 1 0 4 -1 0 -2] [ 0 0 1 0 -2 0 -3 -1 0 0 -1 -2 0 1 0 1 0 1 -1 4 1 1] [ 1 1 -1 0 1 0 0 -1 -1 -1 -1 0 1 0 0 0 1 2 0 1 4 -1] [ 1 -2 2 1 1 -1 -2 -1 2 0 1 -2 2 1 1 0 0 0 -2 1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 804. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 -1 1 -1 -1 -1 -1 -1 2 -2 0 2 1 -1 1 -1 1] [ 1 4 0 0 0 0 1 0 0 0 -1 0 -2 -1 0 1 0 0 1 2 0 2] [-1 0 4 0 0 0 -1 0 -1 -1 -1 2 0 1 2 1 0 0 0 1 0 0] [-1 0 0 4 0 -2 1 1 2 -1 -1 2 -1 -2 0 1 0 1 2 0 -1 -1] [ 1 0 0 0 4 -1 -2 2 0 0 -2 0 0 -1 0 1 2 2 0 0 -2 1] [ 1 0 0 -2 -1 4 1 -2 0 0 2 0 0 1 0 -2 1 -1 -2 0 1 0] [-1 1 -1 1 -2 1 4 -2 1 1 1 0 -1 -2 0 -1 -1 -1 1 0 1 0] [ 1 0 0 1 2 -2 -2 4 0 0 -1 0 0 1 0 1 1 2 1 0 -2 0] [-1 0 -1 2 0 0 1 0 4 0 1 2 -1 -2 0 -1 1 0 1 0 0 0] [-1 0 -1 -1 0 0 1 0 0 4 0 -2 1 -1 1 -1 -1 0 0 0 0 1] [-1 -1 -1 -1 -2 2 1 -1 1 0 6 -1 1 1 0 -1 0 -1 0 -2 1 -1] [-1 0 2 2 0 0 0 0 2 -2 -1 6 -1 -1 0 -1 1 1 0 0 0 0] [-1 -2 0 -1 0 0 -1 0 -1 1 1 -1 4 0 1 -1 0 -1 0 -1 1 -1] [ 2 -1 1 -2 -1 1 -2 1 -2 -1 1 -1 0 6 -1 0 0 0 -2 0 0 0] [-2 0 2 0 0 0 0 0 0 1 0 0 1 -1 4 1 -1 -1 1 1 1 -1] [ 0 1 1 1 1 -2 -1 1 -1 -1 -1 -1 -1 0 1 4 -1 1 1 1 -1 0] [ 2 0 0 0 2 1 -1 1 1 -1 0 1 0 0 -1 -1 4 1 0 0 -1 1] [ 1 0 0 1 2 -1 -1 2 0 0 -1 1 -1 0 -1 1 1 4 0 0 -2 1] [-1 1 0 2 0 -2 1 1 1 0 0 0 0 -2 1 1 0 0 4 0 0 0] [ 1 2 1 0 0 0 0 0 0 0 -2 0 -1 0 1 1 0 0 0 4 1 1] [-1 0 0 -1 -2 1 1 -2 0 0 1 0 1 0 1 -1 -1 -2 0 1 4 -1] [ 1 2 0 -1 1 0 0 0 0 1 -1 0 -1 0 -1 0 1 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 805. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 0 -1 1 -1 -2 0 1 -2 0 -1 2 -2 2 -2 0 0] [-2 4 -2 2 0 2 0 2 0 2 1 1 0 1 -1 0 -1 0 -1 1 1 0] [ 2 -2 4 -2 -1 -1 1 -2 0 -1 -1 -1 0 -1 1 0 1 0 2 -1 1 1] [-2 2 -2 4 1 0 -1 2 0 0 2 1 -1 0 -1 1 -2 0 -1 2 1 0] [ 1 0 -1 1 6 -2 0 1 1 -2 2 2 2 -3 -1 2 -1 -2 0 2 -2 -1] [-1 2 -1 0 -2 6 -2 -1 -2 0 1 -1 0 0 0 -1 1 1 -2 1 -1 2] [ 0 0 1 -1 0 -2 4 1 0 1 0 1 1 0 1 1 -1 0 1 0 0 0] [-1 2 -2 2 1 -1 1 4 0 2 0 1 0 0 0 1 -1 -1 0 0 1 -1] [ 1 0 0 0 1 -2 0 0 4 1 0 0 1 1 0 -1 1 0 1 0 0 -2] [-1 2 -1 0 -2 0 1 2 1 6 -2 -1 0 3 0 -1 1 1 1 -2 2 -1] [-2 1 -1 2 2 1 0 0 0 -2 6 0 1 -2 1 2 -2 1 -2 4 -2 1] [ 0 1 -1 1 2 -1 1 1 0 -1 0 4 1 -1 -2 0 -1 -1 0 0 -1 -1] [ 1 0 0 -1 2 0 1 0 1 0 1 1 4 -2 1 0 1 -1 1 1 -2 0] [-2 1 -1 0 -3 0 0 0 1 3 -2 -1 -2 6 -1 -1 0 2 -1 -1 2 -1] [ 0 -1 1 -1 -1 0 1 0 0 0 1 -2 1 -1 4 0 0 0 1 1 -1 1] [-1 0 0 1 2 -1 1 1 -1 -1 2 0 0 -1 0 4 -1 0 -1 2 0 1] [ 2 -1 1 -2 -1 1 -1 -1 1 1 -2 -1 1 0 0 -1 4 0 1 -2 0 0] [-2 0 0 0 -2 1 0 -1 0 1 1 -1 -1 2 0 0 0 4 -1 1 0 0] [ 2 -1 2 -1 0 -2 1 0 1 1 -2 0 1 -1 1 -1 1 -1 4 -2 1 0] [-2 1 -1 2 2 1 0 0 0 -2 4 0 1 -1 1 2 -2 1 -2 6 -1 1] [ 0 1 1 1 -2 -1 0 1 0 2 -2 -1 -2 2 -1 0 0 0 1 -1 6 0] [ 0 0 1 0 -1 2 0 -1 -2 -1 1 -1 0 -1 1 1 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 806. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 0 -1 0 1 0 -1 0 -2 1 2 -1 2 -1 -2 1 -1] [ 2 4 -2 1 -1 1 1 -1 -1 1 0 0 -1 -1 2 0 -1 1 -2 -1 2 1] [-2 -2 4 1 2 -1 1 2 0 0 -1 1 1 2 -2 -2 0 -1 2 2 0 0] [ 0 1 1 4 2 1 0 1 0 1 1 2 1 1 -1 0 -1 -1 0 1 2 1] [-1 -1 2 2 4 1 -1 1 0 0 1 2 2 1 -1 -1 0 -2 1 1 0 0] [ 1 1 -1 1 1 4 -2 0 0 1 1 1 0 0 0 2 1 1 -2 0 1 1] [ 0 1 1 0 -1 -2 6 2 0 1 -2 -1 0 1 2 -3 0 1 0 1 -1 -1] [-1 -1 2 1 1 0 2 4 0 0 -1 1 0 1 0 -2 1 0 1 1 -1 -1] [ 0 -1 0 0 0 0 0 0 4 0 1 0 -1 0 1 2 -1 0 -1 0 -2 0] [ 1 1 0 1 0 1 1 0 0 4 1 -1 1 1 1 1 -1 1 -1 1 0 1] [ 0 0 -1 1 1 1 -2 -1 1 1 4 1 1 0 1 2 0 -1 -1 0 -1 1] [-1 0 1 2 2 1 -1 1 0 -1 1 4 1 0 0 0 1 -2 0 0 0 0] [ 0 -1 1 1 2 0 0 0 -1 1 1 1 4 1 -1 0 0 -1 1 1 0 -1] [-2 -1 2 1 1 0 1 1 0 1 0 0 1 4 -2 -1 0 0 0 2 0 1] [ 1 2 -2 -1 -1 0 2 0 1 1 1 0 -1 -2 6 0 0 0 -2 -1 -2 0] [ 2 0 -2 0 -1 2 -3 -2 2 1 2 0 0 -1 0 6 0 1 -2 -1 0 1] [-1 -1 0 -1 0 1 0 1 -1 -1 0 1 0 0 0 0 4 0 0 0 -1 0] [ 2 1 -1 -1 -2 1 1 0 0 1 -1 -2 -1 0 0 1 0 4 -1 0 1 0] [-1 -2 2 0 1 -2 0 1 -1 -1 -1 0 1 0 -2 -2 0 -1 4 0 0 -1] [-2 -1 2 1 1 0 1 1 0 1 0 0 1 2 -1 -1 0 0 0 4 1 1] [ 1 2 0 2 0 1 -1 -1 -2 0 -1 0 0 0 -2 0 -1 1 0 1 6 1] [-1 1 0 1 0 1 -1 -1 0 1 1 0 -1 1 0 1 0 0 -1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 807. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -1 -2 -2 1 0 0 -1 1 2 -1 1 2 -1 -1 -1 -2 -2] [-2 4 1 0 -1 2 0 0 0 0 0 1 0 -2 2 1 -2 1 2 1 0 0] [ 0 1 4 0 1 2 -1 -1 -1 0 0 1 2 -1 -1 2 0 2 0 1 -1 0] [ 0 0 0 4 -1 0 0 0 1 2 1 0 -2 -2 1 2 0 1 1 0 2 1] [ 1 -1 1 -1 4 1 -2 -1 -1 -1 1 1 0 1 0 0 2 0 -1 1 -2 1] [-1 2 2 0 1 4 0 0 0 0 0 2 0 -1 1 2 -1 2 1 2 0 0] [-2 0 -1 0 -2 0 4 2 0 0 0 0 -1 -1 0 -1 -1 0 0 0 2 1] [-2 0 -1 0 -1 0 2 4 0 1 -1 1 0 0 0 -2 -1 0 1 1 2 2] [ 1 0 -1 1 -1 0 0 0 4 1 -1 -1 -1 -1 1 2 -1 1 0 -1 1 -2] [ 0 0 0 2 -1 0 0 1 1 4 -1 1 -1 -2 0 1 -1 1 0 -1 1 0] [ 0 0 0 1 1 0 0 -1 -1 -1 4 1 -2 -1 1 1 1 -1 1 1 -1 2] [-1 1 1 0 1 2 0 1 -1 1 1 4 0 -1 1 0 0 1 1 2 0 2] [ 1 0 2 -2 0 0 -1 0 -1 -1 -2 0 6 3 -2 -1 1 0 0 0 -2 -2] [ 2 -2 -1 -2 1 -1 -1 0 -1 -2 -1 -1 3 6 -2 -2 2 -2 -1 0 -1 -1] [-1 2 -1 1 0 1 0 0 1 0 1 1 -2 -2 4 0 -1 0 2 1 0 1] [ 1 1 2 2 0 2 -1 -2 2 1 1 0 -1 -2 0 6 0 2 0 0 0 -1] [ 2 -2 0 0 2 -1 -1 -1 -1 -1 1 0 1 2 -1 0 4 -1 -1 0 -1 1] [-1 1 2 1 0 2 0 0 1 1 -1 1 0 -2 0 2 -1 4 0 1 2 0] [-1 2 0 1 -1 1 0 1 0 0 1 1 0 -1 2 0 -1 0 4 1 0 1] [-1 1 1 0 1 2 0 1 -1 -1 1 2 0 0 1 0 0 1 1 4 1 2] [-2 0 -1 2 -2 0 2 2 1 1 -1 0 -2 -1 0 0 -1 2 0 1 6 1] [-2 0 0 1 1 0 1 2 -2 0 2 2 -2 -1 1 -1 1 0 1 2 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 808. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 0 -1 1 1 0 1 0 1 -2 0 0 1 1 -2 -2 0 -1 0] [-2 4 -2 0 0 1 0 -1 0 0 0 1 1 0 -1 -2 -2 0 0 0 0 1] [ 2 -2 4 -1 -1 0 1 2 1 0 1 0 -2 1 1 1 2 -2 0 1 0 -1] [ 0 0 -1 4 2 0 0 1 -1 1 -2 -1 1 -1 -2 -1 0 1 0 -2 0 0] [ 0 0 -1 2 4 -1 -1 1 -2 0 -2 0 0 -1 -1 0 -1 1 -1 -2 1 0] [-1 1 0 0 -1 4 -1 0 1 -1 1 1 1 1 0 -1 1 0 1 1 1 1] [ 1 0 1 0 -1 -1 4 -1 1 1 1 0 0 1 0 1 0 -1 0 1 -1 1] [ 1 -1 2 1 1 0 -1 4 -1 0 -1 0 -1 -1 -1 -1 1 -1 0 -1 0 -2] [ 0 0 1 -1 -2 1 1 -1 4 -1 1 0 0 2 1 0 2 0 1 1 -1 1] [ 1 0 0 1 0 -1 1 0 -1 4 -1 -1 0 0 -1 0 0 0 0 -1 0 0] [ 0 0 1 -2 -2 1 1 -1 1 -1 4 0 0 0 2 1 0 -1 0 2 0 1] [ 1 1 0 -1 0 1 0 0 0 -1 0 4 0 0 -1 -1 0 -1 -1 0 -1 0] [-2 1 -2 1 0 1 0 -1 0 0 0 0 4 -1 0 -1 0 1 2 0 0 1] [ 0 0 1 -1 -1 1 1 -1 2 0 0 0 -1 4 0 1 1 0 0 1 1 1] [ 0 -1 1 -2 -1 0 0 -1 1 -1 2 -1 0 0 4 1 0 -1 1 2 0 1] [ 1 -2 1 -1 0 -1 1 -1 0 0 1 -1 -1 1 1 4 1 0 -1 1 1 1] [ 1 -2 2 0 -1 1 0 1 2 0 0 0 0 1 0 1 4 0 1 0 0 0] [-2 0 -2 1 1 0 -1 -1 0 0 -1 -1 1 0 -1 0 0 4 1 -1 1 0] [-2 0 0 0 -1 1 0 0 1 0 0 -1 2 0 1 -1 1 1 4 0 0 0] [ 0 0 1 -2 -2 1 1 -1 1 -1 2 0 0 1 2 1 0 -1 0 4 1 1] [-1 0 0 0 1 1 -1 0 -1 0 0 -1 0 1 0 1 0 1 0 1 4 0] [ 0 1 -1 0 0 1 1 -2 1 0 1 0 1 1 1 1 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 809. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 0 -2 -2 -1 -1 1 0 -1 -1 1 0 -1 1 0 1 0] [ 1 4 0 -1 2 1 0 0 1 0 0 0 -1 0 1 0 -1 -2 0 -1 2 -1] [-1 0 4 -1 0 0 1 0 -1 0 1 -2 -1 -1 0 1 -1 0 -1 1 1 -1] [ 1 -1 -1 4 -1 1 1 -1 -2 1 -1 0 2 0 1 0 2 1 1 1 0 2] [ 1 2 0 -1 4 1 1 -1 -1 -1 -1 0 0 -1 -1 1 -2 -2 1 0 1 -1] [ 2 1 0 1 1 4 0 -2 -2 1 0 0 1 -2 0 2 -1 -2 0 1 0 1] [ 0 0 1 1 1 0 4 0 -2 0 0 0 0 0 -1 1 -1 0 0 1 2 0] [-2 0 0 -1 -1 -2 0 4 3 0 1 0 0 2 1 -1 0 1 -1 0 1 -1] [-2 1 -1 -2 -1 -2 -2 3 6 1 0 0 0 2 1 -1 0 1 0 -1 -1 -1] [-1 0 0 1 -1 1 0 0 1 4 1 0 1 0 1 0 1 1 -1 1 -1 2] [-1 0 1 -1 -1 0 0 1 0 1 4 1 -1 1 0 0 0 0 -1 1 0 0] [ 1 0 -2 0 0 0 0 0 0 0 1 4 -1 0 -1 0 0 0 0 -1 -1 0] [ 0 -1 -1 2 0 1 0 0 0 1 -1 -1 4 0 1 0 1 1 1 2 0 2] [-1 0 -1 0 -1 -2 0 2 2 0 1 0 0 4 0 -1 1 1 0 0 1 0] [-1 1 0 1 -1 0 -1 1 1 1 0 -1 1 0 4 -2 1 0 0 0 0 1] [ 1 0 1 0 1 2 1 -1 -1 0 0 0 0 -1 -2 4 -1 -1 0 1 0 0] [ 0 -1 -1 2 -2 -1 -1 0 0 1 0 0 1 1 1 -1 4 2 0 0 0 2] [-1 -2 0 1 -2 -2 0 1 1 1 0 0 1 1 0 -1 2 4 0 1 0 1] [ 1 0 -1 1 1 0 0 -1 0 -1 -1 0 1 0 0 0 0 0 4 0 -1 0] [ 0 -1 1 1 0 1 1 0 -1 1 1 -1 2 0 0 1 0 1 0 4 1 1] [ 1 2 1 0 1 0 2 1 -1 -1 0 -1 0 1 0 0 0 0 -1 1 6 -1] [ 0 -1 -1 2 -1 1 0 -1 -1 2 0 0 2 0 1 0 2 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 810. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 2 1 0 1 -1 -1 2 -1 1 -1 1 -1 -1 1 -1 1] [ 1 4 -1 0 2 1 1 -1 1 2 1 -1 2 0 1 0 0 0 -2 0 0 2] [-1 -1 4 -1 0 0 0 0 1 0 0 1 1 -1 -1 -1 -2 -1 0 1 2 0] [-1 0 -1 4 0 0 -2 -1 -1 0 1 0 0 1 1 -1 1 2 0 -2 0 0] [ 1 2 0 0 4 2 1 0 0 2 1 0 1 1 0 0 -1 1 0 0 0 2] [ 2 1 0 0 2 4 2 0 0 1 -1 0 2 -1 0 0 1 -1 0 0 0 1] [ 2 1 0 -2 1 2 4 1 1 1 -1 -1 2 -1 0 1 1 -1 0 1 -1 0] [ 1 -1 0 -1 0 0 1 4 -1 -1 -2 -1 -1 1 -1 0 1 0 0 1 -1 0] [ 0 1 1 -1 0 0 1 -1 4 0 1 -1 2 -1 -1 0 0 0 0 0 1 0] [ 1 2 0 0 2 1 1 -1 0 4 0 -1 1 0 2 0 -1 0 0 0 0 2] [-1 1 0 1 1 -1 -1 -2 1 0 4 0 1 1 0 0 -1 2 0 -1 1 0] [-1 -1 1 0 0 0 -1 -1 -1 -1 0 4 0 0 -1 0 -1 -1 0 1 1 0] [ 2 2 1 0 1 2 2 -1 2 1 1 0 6 -2 1 -1 1 -1 -1 0 1 1] [-1 0 -1 1 1 -1 -1 1 -1 0 1 0 -2 4 -1 0 0 2 0 -1 -1 1] [ 1 1 -1 1 0 0 0 -1 -1 2 0 -1 1 -1 4 -1 0 0 0 0 -1 0] [-1 0 -1 -1 0 0 1 0 0 0 0 0 -1 0 -1 4 1 0 1 0 0 0] [ 1 0 -2 1 -1 1 1 1 0 -1 -1 -1 1 0 0 1 4 0 0 -1 -1 0] [-1 0 -1 2 1 -1 -1 0 0 0 2 -1 -1 2 0 0 0 4 1 -1 0 0] [-1 -2 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 4 -1 0 -1] [ 1 0 1 -2 0 0 1 1 0 0 -1 1 0 -1 0 0 -1 -1 -1 4 1 0] [-1 0 2 0 0 0 -1 -1 1 0 1 1 1 -1 -1 0 -1 0 0 1 4 0] [ 1 2 0 0 2 1 0 0 0 2 0 0 1 1 0 0 0 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 811. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 -2 0 -1 2 2 1 2 1 1 1 2 2 0 -1 -1 -1] [-2 4 1 -1 2 1 2 -1 -1 -2 -1 1 -2 0 1 -1 -1 -2 0 -1 1 0] [ 0 1 4 1 1 2 -1 -2 -2 1 -1 0 -2 1 0 1 0 -1 1 1 0 1] [ 1 -1 1 4 -1 1 -2 -2 -1 1 -1 1 -1 1 -1 1 2 1 -1 1 0 -1] [-2 2 1 -1 4 2 2 -1 0 -2 -2 0 -1 -1 0 -1 -2 -2 0 -1 0 0] [-1 1 2 1 2 4 1 -2 0 -1 -1 0 -2 1 0 1 -1 -1 0 1 0 0] [-2 2 -1 -2 2 1 4 0 1 -2 0 0 0 -1 1 -1 -2 -2 0 -1 1 0] [ 0 -1 -2 -2 -1 -2 0 4 2 0 1 -1 1 -1 0 -1 -1 0 0 0 -1 0] [-1 -1 -2 -1 0 0 1 2 6 1 2 -1 -1 0 0 -1 -2 0 -2 -1 1 1] [ 2 -2 1 1 -2 -1 -2 0 1 6 1 0 0 2 -1 2 0 0 -1 -1 0 0] [ 2 -1 -1 -1 -2 -1 0 1 2 1 6 -1 0 1 1 -1 1 2 -1 0 1 1] [ 1 1 0 1 0 0 0 -1 -1 0 -1 4 1 1 2 1 1 0 -1 -1 -1 -2] [ 2 -2 -2 -1 -1 -2 0 1 -1 0 0 1 6 0 1 1 1 1 0 0 -2 -1] [ 1 0 1 1 -1 1 -1 -1 0 2 1 1 0 4 0 2 1 0 -1 1 0 0] [ 1 1 0 -1 0 0 1 0 0 -1 1 2 1 0 4 0 0 0 0 -1 0 0] [ 1 -1 1 1 -1 1 -1 -1 -1 2 -1 1 1 2 0 4 1 0 0 1 -1 0] [ 2 -1 0 2 -2 -1 -2 -1 -2 0 1 1 1 1 0 1 4 2 0 1 0 0] [ 2 -2 -1 1 -2 -1 -2 0 0 0 2 0 1 0 0 0 2 4 0 1 0 0] [ 0 0 1 -1 0 0 0 0 -2 -1 -1 -1 0 -1 0 0 0 0 4 0 0 1] [-1 -1 1 1 -1 1 -1 0 -1 -1 0 -1 0 1 -1 1 1 1 0 6 0 1] [-1 1 0 0 0 0 1 -1 1 0 1 -1 -2 0 0 -1 0 0 0 0 4 1] [-1 0 1 -1 0 0 0 0 1 0 1 -2 -1 0 0 0 0 0 1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 812. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 0 0 -2 -1 -2 -2 0 1 1 1 -1 -2 1 -1 0 0 1 -1] [-2 4 -1 0 0 -1 2 0 1 0 0 0 -1 -1 1 1 -1 1 0 0 -1 1] [ 1 -1 4 2 1 0 0 1 1 1 -1 1 -1 0 1 0 -1 1 1 -1 -1 1] [ 2 0 2 6 2 1 -1 0 -2 -1 -1 1 0 0 0 0 -2 0 0 -1 0 0] [ 0 0 1 2 4 2 0 0 1 0 -2 1 1 0 -1 1 -2 0 -1 -2 0 1] [ 0 -1 0 1 2 4 0 -1 1 0 -2 0 0 -1 -1 0 -1 -1 0 -1 1 1] [-2 2 0 -1 0 0 4 0 2 0 0 0 -1 -2 0 2 -1 1 0 1 -1 1] [-1 0 1 0 0 -1 0 4 -1 1 0 1 -1 1 1 1 0 2 -1 0 -2 0] [-2 1 1 -2 1 1 2 -1 6 2 -2 0 -1 -2 0 1 -2 1 0 -1 -1 1] [-2 0 1 -1 0 0 0 1 2 4 0 0 -1 -1 1 0 -1 1 1 -1 -1 1] [ 0 0 -1 -1 -2 -2 0 0 -2 0 4 0 0 1 1 0 2 0 1 2 0 0] [ 1 0 1 1 1 0 0 1 0 0 0 4 0 0 -1 -1 0 2 -1 -1 -1 1] [ 1 -1 -1 0 1 0 -1 -1 -1 -1 0 0 4 0 -1 -1 1 -2 0 0 2 -1] [ 1 -1 0 0 0 -1 -2 1 -2 -1 1 0 0 4 0 0 1 0 -1 0 0 0] [-1 1 1 0 -1 -1 0 1 0 1 1 -1 -1 0 4 1 0 0 2 1 0 0] [-2 1 0 0 1 0 2 1 1 0 0 -1 -1 0 1 4 -2 1 -1 1 -1 0] [ 1 -1 -1 -2 -2 -1 -1 0 -2 -1 2 0 1 1 0 -2 4 -1 1 1 1 0] [-1 1 1 0 0 -1 1 2 1 1 0 2 -2 0 0 1 -1 4 -1 0 -2 1] [ 0 0 1 0 -1 0 0 -1 0 1 1 -1 0 -1 2 -1 1 -1 4 0 1 1] [ 0 0 -1 -1 -2 -1 1 0 -1 -1 2 -1 0 0 1 1 1 0 0 4 1 -1] [ 1 -1 -1 0 0 1 -1 -2 -1 -1 0 -1 2 0 0 -1 1 -2 1 1 4 -1] [-1 1 1 0 1 1 1 0 1 1 0 1 -1 0 0 0 0 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 813. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 0 1 0 -2 0 -1 -2 -1 0 1 1 1 1 1 -1 1 -1 0] [ 2 6 -2 0 1 3 -1 -1 -1 0 -2 0 -1 1 -1 0 -1 1 -1 -2 -1 -2] [-2 -2 6 0 2 0 -2 1 -2 -2 -1 -1 -2 -2 1 1 -2 -3 2 1 2 1] [ 1 0 0 4 -1 1 -1 0 -1 0 1 0 1 0 0 -1 2 0 1 1 0 1] [ 0 1 2 -1 4 1 -2 0 -1 -1 -1 -1 -2 0 0 0 -2 -1 1 1 0 0] [ 1 3 0 1 1 4 -2 -1 -2 0 -1 -1 -1 1 0 -1 0 0 0 -1 -1 -1] [ 0 -1 -2 -1 -2 -2 4 0 2 0 1 1 1 1 -1 1 1 1 -2 0 -1 0] [-2 -1 1 0 0 -1 0 4 -1 1 0 0 0 -1 0 -1 0 -1 2 1 1 0] [ 0 -1 -2 -1 -1 -2 2 -1 4 1 1 1 1 1 0 0 0 2 -1 -1 -1 1] [-1 0 -2 0 -1 0 0 1 1 4 1 0 1 0 0 -1 1 2 0 -1 0 -1] [-2 -2 -1 1 -1 -1 1 0 1 1 6 2 1 1 -1 -2 2 0 0 -1 -1 1] [-1 0 -1 0 -1 -1 1 0 1 0 2 4 0 1 -2 -1 1 1 0 0 -1 1] [ 0 -1 -2 1 -2 -1 1 0 1 1 1 0 4 -1 0 -1 1 1 -1 -1 0 0] [ 1 1 -2 0 0 1 1 -1 1 0 1 1 -1 4 -1 -1 1 1 -1 0 -2 1] [ 1 -1 1 0 0 0 -1 0 0 0 -1 -2 0 -1 4 0 0 -1 1 0 1 0] [ 1 0 1 -1 0 -1 1 -1 0 -1 -2 -1 -1 -1 0 4 -1 0 -1 1 1 -1] [ 1 -1 -2 2 -2 0 1 0 0 1 2 1 1 1 0 -1 4 1 0 1 -1 1] [ 1 1 -3 0 -1 0 1 -1 2 2 0 1 1 1 -1 0 1 4 -1 0 -1 0] [-1 -1 2 1 1 0 -2 2 -1 0 0 0 -1 -1 1 -1 0 -1 4 1 1 1] [ 1 -2 1 1 1 -1 0 1 -1 -1 -1 0 -1 0 0 1 1 0 1 6 1 1] [-1 -1 2 0 0 -1 -1 1 -1 0 -1 -1 0 -2 1 1 -1 -1 1 1 4 -1] [ 0 -2 1 1 0 -1 0 0 1 -1 1 1 0 1 0 -1 1 0 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 814. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 -1 1 0 1 1 -1 0 2 2 2 1 -1 1 -1 -1] [ 1 4 -1 0 -1 2 1 -2 -1 -1 0 0 -2 -1 0 2 1 -1 -2 0 0 1] [-1 -1 4 -1 0 0 0 0 0 2 1 1 0 -1 -1 1 0 0 0 1 -1 0] [-1 0 -1 4 -1 0 0 1 1 -1 -2 -1 -1 -1 0 0 0 1 1 -2 1 0] [ 1 -1 0 -1 4 -1 1 -1 0 -1 0 1 0 2 1 1 1 0 -1 0 -1 -2] [ 1 2 0 0 -1 4 2 -2 -1 0 0 0 -2 -2 -1 1 1 0 0 0 0 1] [ 2 1 0 0 1 2 4 -1 1 0 0 0 -1 -1 1 2 2 0 0 0 0 -1] [-1 -2 0 1 -1 -2 -1 4 1 0 0 0 2 1 1 -2 -1 0 2 0 0 0] [ 1 -1 0 1 0 -1 1 1 4 0 -1 -1 0 -1 1 1 1 2 1 -1 1 -2] [ 0 -1 2 -1 -1 0 0 0 0 4 1 1 1 -1 -1 0 0 0 0 1 -1 1] [ 1 0 1 -2 0 0 0 0 -1 1 4 0 1 0 0 1 1 0 -1 2 -1 0] [ 1 0 1 -1 1 0 0 0 -1 1 0 4 0 1 1 1 0 -1 -1 1 -2 1] [-1 -2 0 -1 0 -2 -1 2 0 1 1 0 4 1 0 -2 -1 -1 1 1 0 0] [ 0 -1 -1 -1 2 -2 -1 1 -1 -1 0 1 1 4 1 -1 -1 -1 0 0 -1 0] [ 2 0 -1 0 1 -1 1 1 1 -1 0 1 0 1 4 0 0 0 0 0 -1 -1] [ 2 2 1 0 1 1 2 -2 1 0 1 1 -2 -1 0 6 2 1 -2 0 0 -1] [ 2 1 0 0 1 1 2 -1 1 0 1 0 -1 -1 0 2 4 1 -1 1 0 -1] [ 1 -1 0 1 0 0 0 0 2 0 0 -1 -1 -1 0 1 1 4 1 0 1 -2] [-1 -2 0 1 -1 0 0 2 1 0 -1 -1 1 0 0 -2 -1 1 4 -1 1 0] [ 1 0 1 -2 0 0 0 0 -1 1 2 1 1 0 0 0 1 0 -1 4 0 0] [-1 0 -1 1 -1 0 0 0 1 -1 -1 -2 0 -1 -1 0 0 1 1 0 4 -1] [-1 1 0 0 -2 1 -1 0 -2 1 0 1 0 0 -1 -1 -1 -2 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 815. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -2 -2 -1 1 -2 0 2 -1 -2 1 -2 -1 2 1 -2 -2 0] [-2 6 2 -2 -2 2 1 -2 -3 1 2 -2 3 -1 -1 2 0 0 0 1 2 -2] [ 0 2 4 -2 0 1 -1 -1 0 0 2 -2 2 -2 1 -1 1 1 -1 0 2 -2] [ 0 -2 -2 4 -1 -2 1 0 2 0 -2 0 -1 1 1 -1 -1 0 0 0 0 1] [ 1 -2 0 -1 4 1 0 1 1 -1 1 2 -1 -1 -1 -1 1 1 -1 -1 -2 0] [-2 2 1 -2 1 4 1 0 -2 1 1 0 1 0 -2 2 2 0 -1 1 0 0] [-2 1 -1 1 0 1 4 1 -1 1 0 0 0 0 -2 1 0 -1 0 1 0 0] [-1 -2 -1 0 1 0 1 4 1 0 0 1 -1 1 -1 1 1 -2 -1 0 -1 0] [ 1 -3 0 2 1 -2 -1 1 6 -2 -1 -1 -1 -1 1 -1 -1 1 0 -2 1 0] [-2 1 0 0 -1 1 1 0 -2 4 -1 -2 0 2 0 1 1 -1 -1 2 1 0] [ 0 2 2 -2 1 1 0 0 -1 -1 4 0 2 -1 0 0 0 1 -1 -1 0 -1] [ 2 -2 -2 0 2 0 0 1 -1 -2 0 6 -2 -1 -2 -1 0 0 0 -1 -4 1] [-1 3 2 -1 -1 1 0 -1 -1 0 2 -2 4 0 1 1 1 0 0 0 2 -1] [-2 -1 -2 1 -1 0 0 1 -1 2 -1 -1 0 6 0 2 1 -2 0 2 1 2] [ 1 -1 1 1 -1 -2 -2 -1 1 0 0 -2 1 0 6 -1 -1 1 -1 0 2 0] [-2 2 -1 -1 -1 2 1 1 -1 1 0 -1 1 2 -1 6 1 -1 0 1 1 1] [-1 0 1 -1 1 2 0 1 -1 1 0 0 1 1 -1 1 4 -1 -1 1 0 0] [ 2 0 1 0 1 0 -1 -2 1 -1 1 0 0 -2 1 -1 -1 4 0 -1 0 0] [ 1 0 -1 0 -1 -1 0 -1 0 -1 -1 0 0 0 -1 0 -1 0 4 -1 0 1] [-2 1 0 0 -1 1 1 0 -2 2 -1 -1 0 2 0 1 1 -1 -1 4 2 0] [-2 2 2 0 -2 0 0 -1 1 1 0 -4 2 1 2 1 0 0 0 2 6 -1] [ 0 -2 -2 1 0 0 0 0 0 0 -1 1 -1 2 0 1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 816. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 0 1 2 2 2 0 0 1 -2 -1 -1 -1 0 -2 -1 1 0] [ 2 4 0 1 -1 -1 1 1 0 1 0 1 1 -2 -1 -1 -1 -1 -1 0 0 1] [ 2 0 4 1 1 -1 1 2 0 0 0 -1 1 0 -1 1 -1 -1 -2 -1 1 -1] [ 1 1 1 4 -1 0 0 0 0 1 -1 0 2 -1 -1 0 -2 0 -2 0 1 -1] [ 0 -1 1 -1 4 -1 1 1 0 -1 -1 1 0 0 1 -1 0 -1 0 0 1 0] [ 0 -1 -1 0 -1 4 -2 -1 2 0 -1 0 0 1 1 -1 0 2 0 -1 -1 0] [ 1 1 1 0 1 -2 4 0 -1 1 0 -1 0 0 0 0 0 -2 -1 1 0 -1] [ 2 1 2 0 1 -1 0 4 0 1 1 0 0 -2 0 0 -1 -1 -1 0 1 0] [ 2 0 0 0 0 2 -1 0 4 1 0 0 0 0 0 -2 0 1 -1 -1 1 0] [ 2 1 0 1 -1 0 1 1 1 4 1 -1 0 -2 -1 -1 0 0 -1 0 1 0] [ 0 0 0 -1 -1 -1 0 1 0 1 4 -1 -2 -1 -1 1 1 0 1 0 0 0] [ 0 1 -1 0 1 0 -1 0 0 -1 -1 4 0 -2 1 -1 0 1 1 -1 0 1] [ 1 1 1 2 0 0 0 0 0 0 -2 0 4 -1 -1 -1 -2 0 -2 -1 0 1] [-2 -2 0 -1 0 1 0 -2 0 -2 -1 -2 -1 6 0 1 0 -1 0 1 0 -2] [-1 -1 -1 -1 1 1 0 0 0 -1 -1 1 -1 0 4 0 0 0 1 1 -1 -1] [-1 -1 1 0 -1 -1 0 0 -2 -1 1 -1 -1 1 0 4 0 0 1 1 0 -1] [-1 -1 -1 -2 0 0 0 -1 0 0 1 0 -2 0 0 0 4 0 2 0 -1 1] [ 0 -1 -1 0 -1 2 -2 -1 1 0 0 1 0 -1 0 0 0 4 1 -1 0 1] [-2 -1 -2 -2 0 0 -1 -1 -1 -1 1 1 -2 0 1 1 2 1 4 0 -1 1] [-1 0 -1 0 0 -1 1 0 -1 0 0 -1 -1 1 1 1 0 -1 0 4 1 -1] [ 1 0 1 1 1 -1 0 1 1 1 0 0 0 0 -1 0 -1 0 -1 1 4 -1] [ 0 1 -1 -1 0 0 -1 0 0 0 0 1 1 -2 -1 -1 1 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 817. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 0 1 -2 0 -1 0 -1 -1 2 0 1 1 -2 -1 -2 2 0 2] [ 0 4 -2 -1 0 -1 2 -2 -1 -1 1 0 0 -1 -1 -2 -2 2 1 -1 1 2] [-1 -2 6 0 2 -2 -1 2 3 -1 0 -2 -1 2 1 0 0 0 -1 2 -2 -3] [ 0 -1 0 4 -2 -1 -2 2 -1 -1 1 -1 0 1 1 2 2 0 0 -1 -1 1] [ 0 0 2 -2 4 0 1 -1 2 1 -1 -1 0 0 -1 -1 -2 0 -1 2 0 -2] [ 1 -1 -2 -1 0 6 -2 0 0 2 -1 3 2 0 1 0 -1 -1 -1 1 0 1] [-2 2 -1 -2 1 -2 6 -3 0 1 1 1 -1 -1 -3 -1 0 1 1 -1 1 -1] [ 0 -2 2 2 -1 0 -3 4 1 -1 0 -1 0 1 1 1 2 0 -1 0 -1 -1] [-1 -1 3 -1 2 0 0 1 4 1 0 -1 -1 1 0 0 -1 1 -1 1 -1 -2] [ 0 -1 -1 -1 1 2 1 -1 1 4 0 1 0 -1 0 0 -1 0 0 0 1 -1] [-1 1 0 1 -1 -1 1 0 0 0 4 -1 -1 1 0 0 -1 2 1 0 -1 1] [-1 0 -2 -1 -1 3 1 -1 -1 1 -1 6 0 0 -1 -1 2 0 1 0 0 1] [ 2 0 -1 0 0 2 -1 0 -1 0 -1 0 4 -1 1 0 -1 -1 -2 0 0 1] [ 0 -1 2 1 0 0 -1 1 1 -1 1 0 -1 4 0 1 0 0 -1 2 -2 1] [ 1 -1 1 1 -1 1 -3 1 0 0 0 -1 1 0 4 0 -1 -1 0 0 0 0] [ 1 -2 0 2 -1 0 -1 1 0 0 0 -1 0 1 0 4 1 -1 -1 1 -1 0] [-2 -2 0 2 -2 -1 0 2 -1 -1 -1 2 -1 0 -1 1 6 -1 1 -2 0 -1] [-1 2 0 0 0 -1 1 0 1 0 2 0 -1 0 -1 -1 -1 4 1 0 0 1] [-2 1 -1 0 -1 -1 1 -1 -1 0 1 1 -2 -1 0 -1 1 1 4 -2 1 0] [ 2 -1 2 -1 2 1 -1 0 1 0 0 0 0 2 0 1 -2 0 -2 6 -1 0] [ 0 1 -2 -1 0 0 1 -1 -1 1 -1 0 0 -2 0 -1 0 0 1 -1 4 -1] [ 2 2 -3 1 -2 1 -1 -1 -2 -1 1 1 1 1 0 0 -1 1 0 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 818. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 0 1 2 -1 1 0 1 1 0 -2 -1 -1 -1 2 -1 1 -2 0] [-2 4 -2 -1 -1 -1 -1 1 1 0 0 1 1 0 0 -1 0 -1 0 0 0 0] [ 2 -2 4 0 0 1 1 0 1 0 0 0 -1 0 0 1 -1 1 -1 0 0 1] [ 2 -1 0 4 0 0 2 -1 0 0 0 0 0 0 -1 -1 1 2 1 0 0 0] [ 0 -1 0 0 4 1 0 -2 -1 1 1 -1 0 -1 -1 1 2 0 1 1 1 1] [ 1 -1 1 0 1 4 -1 1 0 1 0 0 0 -1 1 0 0 0 -1 0 1 2] [ 2 -1 1 2 0 -1 4 -1 0 -1 0 0 -1 0 -2 0 0 2 1 0 -2 0] [-1 1 0 -1 -2 1 -1 4 0 0 -1 0 -1 0 1 -1 -1 0 -1 -1 0 1] [ 1 1 1 0 -1 0 0 0 4 0 1 0 0 0 0 0 -1 -1 -1 1 0 0] [ 0 0 0 0 1 1 -1 0 0 4 2 -1 -1 -2 0 0 -1 0 1 2 0 0] [ 1 0 0 0 1 0 0 -1 1 2 4 -1 0 -3 0 0 -1 0 0 2 -1 0] [ 1 1 0 0 -1 0 0 0 0 -1 -1 4 2 -1 -1 -2 0 1 -1 -1 -2 -1] [ 0 1 -1 0 0 0 -1 -1 0 -1 0 2 4 -1 1 -1 1 -1 0 0 0 0] [-2 0 0 0 -1 -1 0 0 0 -2 -3 -1 -1 6 0 2 1 -1 0 -2 3 0] [-1 0 0 -1 -1 1 -2 1 0 0 0 -1 1 0 4 0 -1 -2 0 0 1 1] [-1 -1 1 -1 1 0 0 -1 0 0 0 -2 -1 2 0 4 1 -1 0 0 2 1] [-1 0 -1 1 2 0 0 -1 -1 -1 -1 0 1 1 -1 1 4 0 1 -1 2 1] [ 2 -1 1 2 0 0 2 0 -1 0 0 1 -1 -1 -2 -1 0 4 0 0 -1 0] [-1 0 -1 1 1 -1 1 -1 -1 1 0 -1 0 0 0 0 1 0 4 0 0 0] [ 1 0 0 0 1 0 0 -1 1 2 2 -1 0 -2 0 0 -1 0 0 4 0 0] [-2 0 0 0 1 1 -2 0 0 0 -1 -2 0 3 1 2 2 -1 0 0 6 1] [ 0 0 1 0 1 2 0 1 0 0 0 -1 0 0 1 1 1 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 819. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 0 1 1 -1 1 0 1 1 1 -1 1 0 -1 0 -1 1] [ 1 4 0 0 -1 1 -1 -1 -1 0 2 -1 1 1 -1 -1 1 -1 -2 -1 0 1] [-1 0 4 -2 0 -2 1 1 -1 0 0 1 1 -1 1 1 -1 1 0 1 0 1] [ 1 0 -2 4 -1 0 -1 -1 1 1 0 -1 -1 0 0 -1 2 1 -1 0 1 0] [ 1 -1 0 -1 4 -1 2 1 0 -1 -1 2 0 -1 0 -1 -1 1 1 -1 -1 0] [ 1 1 -2 0 -1 4 -1 0 1 -1 1 -2 1 2 -1 0 1 -2 -1 0 -1 0] [ 0 -1 1 -1 2 -1 4 0 0 -1 -1 0 1 0 0 1 -2 2 0 0 -1 1] [ 1 -1 1 -1 1 0 0 4 0 0 0 1 0 0 2 1 -1 0 1 1 0 0] [ 1 -1 -1 1 0 1 0 0 4 -1 1 -1 0 1 0 0 0 0 -1 1 -1 -1] [-1 0 0 1 -1 -1 -1 0 -1 4 -1 0 -2 0 -1 0 1 1 1 1 1 -1] [ 1 2 0 0 -1 1 -1 0 1 -1 4 -1 0 0 0 0 0 -1 -2 -1 -1 0] [ 0 -1 1 -1 2 -2 0 1 -1 0 -1 4 0 -1 1 0 -1 0 2 0 0 -1] [ 1 1 1 -1 0 1 1 0 0 -2 0 0 4 1 1 0 0 0 -1 1 0 2] [ 1 1 -1 0 -1 2 0 0 1 0 0 -1 1 4 -1 1 0 -1 -1 1 0 0] [ 1 -1 1 0 0 -1 0 2 0 -1 0 1 1 -1 4 0 -1 0 1 1 0 1] [-1 -1 1 -1 -1 0 1 1 0 0 0 0 0 1 0 4 -1 0 0 1 0 0] [ 1 1 -1 2 -1 1 -2 -1 0 1 0 -1 0 0 -1 -1 4 0 -1 0 1 1] [ 0 -1 1 1 1 -2 2 0 0 1 -1 0 0 -1 0 0 0 4 0 1 1 1] [-1 -2 0 -1 1 -1 0 1 -1 1 -2 2 -1 -1 1 0 -1 0 4 0 0 -1] [ 0 -1 1 0 -1 0 0 1 1 1 -1 0 1 1 1 1 0 1 0 4 1 0] [-1 0 0 1 -1 -1 -1 0 -1 1 -1 0 0 0 0 0 1 1 0 1 4 0] [ 1 1 1 0 0 0 1 0 -1 -1 0 -1 2 0 1 0 1 1 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 820. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -1 -1 0 0 1 0 -1 0 -2 -1 -1 0 0 -1 0 -1 0 -1 1] [ 0 4 2 0 -1 0 -1 -1 -2 -1 0 -1 -1 1 -1 -1 2 2 -1 0 1 1] [-1 2 4 -1 -1 -1 -1 0 -2 0 0 0 0 1 0 0 2 2 0 0 0 1] [-1 0 -1 4 1 1 1 -2 2 0 0 1 -1 1 -1 1 -1 -1 1 0 0 0] [-1 -1 -1 1 4 -1 2 0 1 -1 -1 2 1 0 -1 1 0 -2 0 -1 0 -1] [ 0 0 -1 1 -1 4 -1 0 1 1 -1 -1 0 1 0 -1 -2 1 -1 -1 0 1] [ 0 -1 -1 1 2 -1 4 1 1 0 1 1 1 0 0 2 -1 -2 0 1 -1 -1] [ 1 -1 0 -2 0 0 1 4 0 0 0 -1 2 0 0 1 -1 0 0 0 0 0] [ 0 -2 -2 2 1 1 1 0 4 0 -1 1 0 0 0 1 -2 -2 1 -1 -1 -1] [-1 -1 0 0 -1 1 0 0 0 4 0 0 1 -1 2 -1 -1 0 1 0 0 1] [ 0 0 0 0 -1 -1 1 0 -1 0 4 -1 0 -1 1 1 0 0 0 2 0 0] [-2 -1 0 1 2 -1 1 -1 1 0 -1 4 1 0 -1 0 1 -1 1 -1 -1 -2] [-1 -1 0 -1 1 0 1 2 0 1 0 1 4 -1 1 0 0 -1 1 0 0 0] [-1 1 1 1 0 1 0 0 0 -1 -1 0 -1 4 -2 1 0 1 -1 0 1 0] [ 0 -1 0 -1 -1 0 0 0 0 2 1 -1 1 -2 4 -1 -1 -1 1 1 -1 1] [ 0 -1 0 1 1 -1 2 1 1 -1 1 0 0 1 -1 4 0 -1 0 1 0 0] [-1 2 2 -1 0 -2 -1 -1 -2 -1 0 1 0 0 -1 0 4 1 0 0 1 0] [ 0 2 2 -1 -2 1 -2 0 -2 0 0 -1 -1 1 -1 -1 1 4 -1 0 1 1] [-1 -1 0 1 0 -1 0 0 1 1 0 1 1 -1 1 0 0 -1 4 0 0 0] [ 0 0 0 0 -1 -1 1 0 -1 0 2 -1 0 0 1 1 0 0 0 4 1 0] [-1 1 0 0 0 0 -1 0 -1 0 0 -1 0 1 -1 0 1 1 0 1 4 0] [ 1 1 1 0 -1 1 -1 0 -1 1 0 -2 0 0 1 0 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 821. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 2 0 -1 1 -1 -1 -2 0 1 2 -2 0 2 2 1 -2 -1 0] [ 0 4 -1 1 -1 2 2 1 0 0 1 1 -1 -1 1 1 0 -1 -1 1 -2 0] [ 1 -1 4 1 0 -2 0 0 1 1 -2 -2 0 2 -2 -1 -1 0 1 -2 1 1] [ 1 1 1 4 0 1 2 1 0 1 -1 0 1 0 1 0 0 -1 -1 -1 0 1] [ 2 -1 0 0 4 0 -1 0 0 0 0 0 1 0 -1 -1 1 2 0 0 1 1] [ 0 2 -2 1 0 4 2 1 0 -1 1 1 1 -2 1 1 0 -1 -2 1 -2 0] [-1 2 0 2 -1 2 4 1 0 0 0 0 0 -2 1 0 -1 -2 -2 0 0 0] [ 1 1 0 1 0 1 1 4 1 1 1 -1 1 -1 0 1 2 1 0 1 -2 1] [-1 0 1 0 0 0 0 1 4 1 1 -2 1 0 1 1 -1 0 -1 1 -1 2] [-1 0 1 1 0 -1 0 1 1 6 3 0 0 -2 2 -2 0 0 0 3 0 1] [-2 1 -2 -1 0 1 0 1 1 3 6 0 0 -4 3 0 0 0 -1 4 -1 1] [ 0 1 -2 0 0 1 0 -1 -2 0 0 4 0 -1 0 -1 1 0 0 0 -1 -2] [ 1 -1 0 1 1 1 0 1 1 0 0 0 4 -1 1 0 1 0 0 0 -1 1] [ 2 -1 2 0 0 -2 -2 -1 0 -2 -4 -1 -1 6 -3 1 0 1 1 -3 1 0] [-2 1 -2 1 -1 1 1 0 1 2 3 0 1 -3 6 0 -1 -2 -1 3 -1 1] [ 0 1 -1 0 -1 1 0 1 1 -2 0 -1 0 1 0 4 1 0 -1 0 -1 1] [ 2 0 -1 0 1 0 -1 2 -1 0 0 1 1 0 -1 1 4 2 1 0 -1 0] [ 2 -1 0 -1 2 -1 -2 1 0 0 0 0 0 1 -2 0 2 4 1 0 0 0] [ 1 -1 1 -1 0 -2 -2 0 -1 0 -1 0 0 1 -1 -1 1 1 4 -1 0 0] [-2 1 -2 -1 0 1 0 1 1 3 4 0 0 -3 3 0 0 0 -1 6 0 1] [-1 -2 1 0 1 -2 0 -2 -1 0 -1 -1 -1 1 -1 -1 -1 0 0 0 6 0] [ 0 0 1 1 1 0 0 1 2 1 1 -2 1 0 1 1 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 822. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 -2 -1 -2 2 -1 1 0 0 -1 2 -1 -1 1 -1 -2 0 0] [-2 4 -2 -1 -1 2 0 2 -2 1 -2 0 -1 2 -1 0 1 -1 2 2 -1 -1] [ 2 -2 4 0 1 -2 0 -1 0 0 1 -1 1 -1 1 0 -2 1 -2 -2 0 0] [ 1 -1 0 4 2 -1 0 1 0 0 2 -1 1 1 2 0 0 2 -1 -1 0 2] [ 1 -1 1 2 4 -1 1 1 1 0 1 -1 2 -1 1 -1 -1 2 0 -1 -1 2] [-2 2 -2 -1 -1 4 0 2 -1 0 -1 1 0 1 -2 -1 2 -1 1 2 -1 -1] [-1 0 0 0 1 0 4 2 1 -1 1 1 1 -1 -1 0 -1 0 0 0 1 0] [-2 2 -1 1 1 2 2 6 -2 -1 1 -1 1 1 -1 -1 1 0 1 2 -1 0] [ 2 -2 0 0 1 -1 1 -2 6 0 0 2 -1 -2 -1 0 0 1 1 -1 1 1] [-1 1 0 0 0 0 -1 -1 0 4 -2 0 -1 1 0 1 0 1 1 0 -1 1] [ 1 -2 1 2 1 -1 1 1 0 -2 4 0 2 0 1 0 0 0 -2 -1 1 1] [ 0 0 -1 -1 -1 1 1 -1 2 0 0 4 -1 0 -1 0 0 -1 0 0 1 0] [ 0 -1 1 1 2 0 1 1 -1 -1 2 -1 4 0 0 -1 0 0 -1 0 -1 0] [-1 2 -1 1 -1 1 -1 1 -2 1 0 0 0 4 0 1 1 0 0 1 -1 0] [ 2 -1 1 2 1 -2 -1 -1 -1 0 1 -1 0 0 4 0 -1 1 -1 -2 0 1] [-1 0 0 0 -1 -1 0 -1 0 1 0 0 -1 1 0 4 -1 1 0 -1 1 1] [-1 1 -2 0 -1 2 -1 1 0 0 0 0 0 1 -1 -1 4 -1 1 2 0 0] [ 1 -1 1 2 2 -1 0 0 1 1 0 -1 0 0 1 1 -1 4 0 -1 0 2] [-1 2 -2 -1 0 1 0 1 1 1 -2 0 -1 0 -1 0 1 0 4 1 -1 0] [-2 2 -2 -1 -1 2 0 2 -1 0 -1 0 0 1 -2 -1 2 -1 1 4 0 -1] [ 0 -1 0 0 -1 -1 1 -1 1 -1 1 1 -1 -1 0 1 0 0 -1 0 4 0] [ 0 -1 0 2 2 -1 0 0 1 1 1 0 0 0 1 1 0 2 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 823. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 1 2 -2 0 0 0 1 -2 1 1 -2 -2 -2 2 1 1 0 0] [ 1 4 2 0 2 0 1 0 1 0 0 1 2 0 1 0 -1 2 -1 0 1 1] [ 2 2 4 0 1 0 0 1 0 0 0 -1 0 1 0 0 -1 2 -1 0 1 1] [ 1 0 0 4 1 1 0 1 0 1 0 1 2 1 0 -2 -1 0 0 0 -1 1] [ 1 2 1 1 4 0 0 0 1 -1 -1 1 2 -1 0 -2 -2 2 0 -1 0 1] [ 2 0 0 1 0 4 0 0 1 0 2 -2 2 0 0 -1 -2 0 0 2 -1 1] [-2 1 0 0 0 0 4 0 0 0 0 2 1 0 3 2 0 -1 -2 0 0 2] [ 0 0 1 1 0 0 0 4 1 1 1 0 1 0 -1 1 -1 0 0 1 1 1] [ 0 1 0 0 1 1 0 1 4 -1 1 1 2 -1 -1 -1 -1 1 -1 1 1 1] [ 0 0 0 1 -1 0 0 1 -1 4 1 -1 -1 0 0 2 1 0 1 1 -1 0] [ 1 0 0 0 -1 2 0 1 1 1 4 -2 1 -1 0 1 -1 0 0 2 0 1] [-2 1 -1 1 1 -2 2 0 1 -1 -2 6 2 0 0 -1 1 0 -1 -2 0 0] [ 1 2 0 2 2 2 1 1 2 -1 1 2 6 -1 1 -2 -2 0 0 1 0 2] [ 1 0 1 1 -1 0 0 0 -1 0 -1 0 -1 4 -1 0 0 0 -1 0 1 0] [-2 1 0 0 0 0 3 -1 -1 0 0 0 1 -1 6 1 0 -2 -1 0 -1 2] [-2 0 0 -2 -2 -1 2 1 -1 2 1 -1 -2 0 1 6 2 -1 -1 1 1 1] [-2 -1 -1 -1 -2 -2 0 -1 -1 1 -1 1 -2 0 0 2 4 -1 0 -1 0 -1] [ 2 2 2 0 2 0 -1 0 1 0 0 0 0 0 -2 -1 -1 4 0 0 1 0] [ 1 -1 -1 0 0 0 -2 0 -1 1 0 -1 0 -1 -1 -1 0 0 4 0 -1 -1] [ 1 0 0 0 -1 2 0 1 1 1 2 -2 1 0 0 1 -1 0 0 4 1 1] [ 0 1 1 -1 0 -1 0 1 1 -1 0 0 0 1 -1 1 0 1 -1 1 4 0] [ 0 1 1 1 1 1 2 1 1 0 1 0 2 0 2 1 -1 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 824. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -2 1 1 -1 1 0 0 -2 -2 2 -1 0 0 1 1 -1 0 2 1] [ 1 4 1 -2 2 -1 1 -1 1 0 -1 1 2 -1 -1 -1 1 2 0 0 -1 0] [-2 1 6 2 0 1 3 0 0 -2 1 1 -2 -1 0 -2 1 0 0 -2 -1 1] [-2 -2 2 6 -3 -1 0 0 -2 -1 2 1 -3 2 -1 1 -2 -3 -1 -1 -1 0] [ 1 2 0 -3 4 1 0 0 1 0 0 0 1 -1 0 0 1 2 1 0 0 1] [ 1 -1 1 -1 1 4 1 2 0 -1 0 -1 -1 -1 1 0 1 0 0 -1 1 2] [-1 1 3 0 0 1 4 1 0 0 0 1 0 -1 1 -1 0 0 1 0 0 1] [ 1 -1 0 0 0 2 1 4 0 0 -1 0 -1 0 0 1 -1 0 -1 0 1 2] [ 0 1 0 -2 1 0 0 0 4 -1 -1 -1 0 0 0 -1 0 2 1 -1 1 0] [ 0 0 -2 -1 0 -1 0 0 -1 4 -1 0 2 1 1 1 -1 0 0 2 0 0] [-2 -1 1 2 0 0 0 -1 -1 -1 4 1 -1 0 -1 0 0 -1 1 -1 -2 -1] [-2 1 1 1 0 -1 1 0 -1 0 1 6 -2 1 -1 1 0 -1 0 0 -4 -1] [ 2 2 -2 -3 1 -1 0 -1 0 2 -1 -2 6 -2 1 -1 1 1 1 2 1 0] [-1 -1 -1 2 -1 -1 -1 0 0 1 0 1 -2 4 -1 2 -2 -1 -1 0 0 0] [ 0 -1 0 -1 0 1 1 0 0 1 -1 -1 1 -1 4 -1 0 -1 2 1 1 1] [ 0 -1 -2 1 0 0 -1 1 -1 1 0 1 -1 2 -1 4 -1 -1 -1 1 0 1] [ 1 1 1 -2 1 1 0 -1 0 -1 0 0 1 -2 0 -1 4 1 0 -1 0 0] [ 1 2 0 -3 2 0 0 0 2 0 -1 -1 1 -1 -1 -1 1 4 0 0 1 0] [-1 0 0 -1 1 0 1 -1 1 0 1 0 1 -1 2 -1 0 0 4 0 0 0] [ 0 0 -2 -1 0 -1 0 0 -1 2 -1 0 2 0 1 1 -1 0 0 4 1 0] [ 2 -1 -1 -1 0 1 0 1 1 0 -2 -4 1 0 1 0 0 1 0 1 6 1] [ 1 0 1 0 1 2 1 2 0 0 -1 -1 0 0 1 1 0 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 825. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 1 -2 -2 0 1 -2 -2 1 1 -1 1 -1 -1 -1 -1 0 1 0 -2] [ 0 4 1 -1 1 0 0 1 1 0 -2 2 -1 -1 -2 1 -1 -1 1 1 -1 1] [ 0 1 4 -2 1 1 1 0 1 1 1 2 0 0 0 2 -2 -1 2 1 0 1] [ 1 -1 -2 4 0 -1 -1 0 0 -1 0 -1 -1 1 1 -2 2 1 -2 -1 -1 -2] [-2 1 1 0 4 1 0 -1 2 2 -1 1 1 0 0 1 0 1 0 -1 -1 1] [-2 0 1 -1 1 4 -1 -1 1 1 -1 -1 0 -1 1 1 0 0 1 0 1 2] [ 0 0 1 -1 0 -1 4 -1 0 -1 1 1 0 0 0 1 -1 1 0 -1 0 1] [ 1 1 0 0 -1 -1 -1 4 -1 -1 0 1 -1 1 0 1 1 -2 -1 2 1 -1] [-2 1 1 0 2 1 0 -1 4 2 0 0 1 0 0 1 0 1 0 -1 -1 1] [-2 0 1 -1 2 1 -1 -1 2 4 0 0 2 0 0 1 0 0 1 0 0 1] [ 1 -2 1 0 -1 -1 1 0 0 0 4 0 0 1 1 0 0 0 0 0 0 -1] [ 1 2 2 -1 1 -1 1 1 0 0 0 4 -1 0 -1 1 -1 -1 1 1 -1 0] [-1 -1 0 -1 1 0 0 -1 1 2 0 -1 4 1 0 1 -1 1 0 -1 1 0] [ 1 -1 0 1 0 -1 0 1 0 0 1 0 1 4 0 1 1 -1 -2 1 0 -1] [-1 -2 0 1 0 1 0 0 0 0 1 -1 0 0 4 0 1 0 -1 -1 1 0] [-1 1 2 -2 1 1 1 1 1 1 0 1 1 1 0 4 0 -1 0 1 1 2] [-1 -1 -2 2 0 0 -1 1 0 0 0 -1 -1 1 1 0 4 0 -2 0 0 0] [-1 -1 -1 1 1 0 1 -2 1 0 0 -1 1 -1 0 -1 0 4 0 -2 0 0] [ 0 1 2 -2 0 1 0 -1 0 1 0 1 0 -2 -1 0 -2 0 4 0 0 1] [ 1 1 1 -1 -1 0 -1 2 -1 0 0 1 -1 1 -1 1 0 -2 0 4 1 0] [ 0 -1 0 -1 -1 1 0 1 -1 0 0 -1 1 0 1 1 0 0 0 1 4 0] [-2 1 1 -2 1 2 1 -1 1 1 -1 0 0 -1 0 2 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 826. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 1 1 2 1 -2 1 -2 1 0 1 2 1 1 1 -2 0 0] [-2 4 2 -1 1 0 -1 -1 -1 2 -1 1 -2 0 0 0 0 -1 -2 2 0 1] [-2 2 4 0 2 -1 0 -1 -1 2 -1 0 -2 -1 -1 -1 0 -1 -2 2 -1 0] [ 1 -1 0 4 0 1 0 -1 0 0 0 0 -1 -1 -1 0 -1 0 0 0 -2 -1] [-1 1 2 0 4 1 0 1 1 1 1 0 -1 -2 -2 -2 0 1 -1 1 -2 0] [ 1 0 -1 1 1 4 -1 1 1 0 0 1 -1 0 0 1 1 0 -1 0 -2 1] [ 1 -1 0 0 0 -1 4 2 -1 0 0 -2 0 1 1 -1 1 0 0 -1 0 1] [ 2 -1 -1 -1 1 1 2 6 1 -1 2 -1 1 0 0 1 2 2 0 -1 1 2] [ 1 -1 -1 0 1 1 -1 1 4 -1 2 0 1 -1 -2 -1 0 2 1 -1 -1 0] [-2 2 2 0 1 0 0 -1 -1 4 -2 0 -2 -1 -1 -1 0 -1 -2 2 0 0] [ 1 -1 -1 0 1 0 0 2 2 -2 4 0 1 -1 -1 -1 0 2 1 -1 0 0] [-2 1 0 0 0 1 -2 -1 0 0 0 4 0 1 0 0 -1 0 -1 1 0 1] [ 1 -2 -2 -1 -1 -1 0 1 1 -2 1 0 4 0 0 1 -1 1 2 -1 2 0] [ 0 0 -1 -1 -2 0 1 0 -1 -1 -1 1 0 4 2 1 1 -1 0 -1 1 2] [ 1 0 -1 -1 -2 0 1 0 -2 -1 -1 0 0 2 4 2 1 -1 0 -1 1 1] [ 2 0 -1 0 -2 1 -1 1 -1 -1 -1 0 1 1 2 6 0 0 0 -1 1 1] [ 1 0 0 -1 0 1 1 2 0 0 0 -1 -1 1 1 0 4 -1 0 0 1 1] [ 1 -1 -1 0 1 0 0 2 2 -1 2 0 1 -1 -1 0 -1 4 1 -1 0 0] [ 1 -2 -2 0 -1 -1 0 0 1 -2 1 -1 2 0 0 0 0 1 4 -2 1 -1] [-2 2 2 0 1 0 -1 -1 -1 2 -1 1 -1 -1 -1 -1 0 -1 -2 4 1 0] [ 0 0 -1 -2 -2 -2 0 1 -1 0 0 0 2 1 1 1 1 0 1 1 6 0] [ 0 1 0 -1 0 1 1 2 0 0 0 1 0 2 1 1 1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 827. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 2 1 0 -1 -1 2 1 -2 2 1 0 -1 1 1 -2 -2] [ 1 4 2 0 -2 2 0 1 0 -2 1 0 -1 0 2 -1 0 0 0 0 -2 1] [ 2 2 6 0 -1 1 0 0 0 0 0 0 -1 0 3 -1 2 -2 -1 2 0 -2] [-1 0 0 4 -1 1 0 -2 0 -1 2 0 -1 1 0 1 1 1 -2 -1 1 2] [-1 -2 -1 -1 4 -2 0 -1 -1 1 -2 0 1 -1 -1 1 1 0 0 0 0 0] [ 1 2 1 1 -2 4 1 0 1 -1 1 0 0 1 2 0 -1 -1 0 1 0 1] [ 2 0 0 0 0 1 4 1 -1 -1 0 2 1 -1 2 2 0 -1 0 1 -2 -1] [ 1 1 0 -2 -1 0 1 4 -1 0 0 1 0 0 0 0 -1 -1 2 1 -1 -1] [ 0 0 0 0 -1 1 -1 -1 4 1 -1 0 1 0 -1 -1 -2 0 -1 0 0 1] [-1 -2 0 -1 1 -1 -1 0 1 4 -1 0 0 0 -1 0 0 -1 0 1 1 0] [-1 1 0 2 -2 1 0 0 -1 -1 4 -1 -1 2 0 0 0 0 0 0 1 1] [ 2 0 0 0 0 0 2 1 0 0 -1 4 0 -2 0 2 0 0 0 0 -2 0] [ 1 -1 -1 -1 1 0 1 0 1 0 -1 0 4 -1 -1 1 -1 0 1 0 -1 -1] [-2 0 0 1 -1 1 -1 0 0 0 2 -2 -1 4 0 -1 -1 0 0 0 3 0] [ 2 2 3 0 -1 2 2 0 -1 -1 0 0 -1 0 6 0 1 -2 -1 1 -1 -1] [ 1 -1 -1 1 1 0 2 0 -1 0 0 2 1 -1 0 4 1 0 0 0 -1 1] [ 0 0 2 1 1 -1 0 -1 -2 0 0 0 -1 -1 1 1 4 0 -1 0 0 0] [-1 0 -2 1 0 -1 -1 -1 0 -1 0 0 0 0 -2 0 0 4 0 -2 0 1] [ 1 0 -1 -2 0 0 0 2 -1 0 0 0 1 0 -1 0 -1 0 4 0 0 -1] [ 1 0 2 -1 0 1 1 1 0 1 0 0 0 0 1 0 0 -2 0 4 1 -1] [-2 -2 0 1 0 0 -2 -1 0 1 1 -2 -1 3 -1 -1 0 0 0 1 6 -1] [-2 1 -2 2 0 1 -1 -1 1 0 1 0 -1 0 -1 1 0 1 -1 -1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 828. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 -1 1 1 1 1 1 -1 -1 1 1 -1 1 -2 0 1 1 0 1] [ 1 4 1 -1 -2 2 0 0 2 2 0 0 1 0 1 -1 -2 0 0 2 1 1] [-2 1 4 -2 0 0 -1 0 -1 1 0 1 0 0 1 0 1 1 0 1 1 0] [ 1 -1 -2 4 -1 1 1 0 0 0 -1 0 1 0 0 1 0 -1 1 0 0 -1] [-1 -2 0 -1 4 -2 -1 0 -1 -2 0 -1 -1 1 0 1 1 1 -1 -2 -1 1] [ 1 2 0 1 -2 4 0 -1 1 2 0 0 0 -1 0 0 0 0 0 2 0 0] [ 1 0 -1 1 -1 0 4 2 1 0 1 0 1 0 1 0 0 -2 1 0 -1 0] [ 1 0 0 0 0 -1 2 4 0 0 0 -1 2 1 1 1 -1 0 0 0 0 0] [ 1 2 -1 0 -1 1 1 0 4 0 0 0 0 -1 1 0 -1 0 1 0 0 0] [ 1 2 1 0 -2 2 0 0 0 4 -1 1 1 -1 0 0 -1 0 0 2 0 0] [-1 0 0 -1 0 0 1 0 0 -1 4 -1 0 -1 1 -2 1 0 0 -1 0 1] [-1 0 1 0 -1 0 0 -1 0 1 -1 4 -1 -1 -1 0 0 0 1 1 -1 -2] [ 1 1 0 1 -1 0 1 2 0 1 0 -1 4 0 2 0 -1 -1 1 1 1 1] [ 1 0 0 0 1 -1 0 1 -1 -1 -1 -1 0 4 -1 1 -1 0 -1 0 1 1] [-1 1 1 0 0 0 1 1 1 0 1 -1 2 -1 4 -1 0 -1 1 0 0 1] [ 1 -1 0 1 1 0 0 1 0 0 -2 0 0 1 -1 4 1 1 0 0 0 0] [-2 -2 1 0 1 0 0 -1 -1 -1 1 0 -1 -1 0 1 4 0 0 -1 0 0] [ 0 0 1 -1 1 0 -2 0 0 0 0 0 -1 0 -1 1 0 4 0 0 1 0] [ 1 0 0 1 -1 0 1 0 1 0 0 1 1 -1 1 0 0 0 4 0 0 0] [ 1 2 1 0 -2 2 0 0 0 2 -1 1 1 0 0 0 -1 0 0 4 1 0] [ 0 1 1 0 -1 0 -1 0 0 0 0 -1 1 1 0 0 0 1 0 1 4 0] [ 1 1 0 -1 1 0 0 0 0 0 1 -2 1 1 1 0 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 829. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 2 2 -2 1 -1 -2 -1 0 -1 -1 0 0 -2 0 -1 -2 1 -1 0] [ 2 4 -2 0 0 -1 0 0 0 -1 1 -2 0 -1 -1 -2 -1 0 -2 0 -1 -1] [-2 -2 4 0 -1 0 0 0 2 0 -1 2 0 0 1 0 -1 0 0 0 1 -1] [ 2 0 0 4 0 0 2 -2 0 -1 -1 0 0 -1 1 -1 -1 -2 -1 2 1 1] [ 2 0 -1 0 4 -2 -1 1 -2 1 1 1 -1 2 -1 0 1 0 -1 0 -1 0] [-2 -1 0 0 -2 4 1 -1 1 1 -1 -1 1 0 1 1 0 0 2 0 1 1] [ 1 0 0 2 -1 1 4 -1 -1 -1 -1 -1 1 -1 1 0 -1 -2 0 2 0 0] [-1 0 0 -2 1 -1 -1 6 1 1 1 2 -1 2 0 3 0 1 0 -1 -1 1] [-2 0 2 0 -2 1 -1 1 6 0 0 2 0 0 2 -1 -2 0 0 0 2 0] [-1 -1 0 -1 1 1 -1 1 0 4 -1 1 0 2 0 1 2 1 1 -1 -1 1] [ 0 1 -1 -1 1 -1 -1 1 0 -1 4 0 0 0 -2 0 0 1 0 -1 0 -1] [-1 -2 2 0 1 -1 -1 2 2 1 0 6 -2 1 1 2 1 -1 0 1 0 0] [-1 0 0 0 -1 1 1 -1 0 0 0 -2 4 -1 -1 0 -1 -1 0 0 1 0] [ 0 -1 0 -1 2 0 -1 2 0 2 0 1 -1 4 0 1 1 1 0 -1 0 1] [ 0 -1 1 1 -1 1 1 0 2 0 -2 1 -1 0 4 -1 -1 -1 1 1 0 1] [-2 -2 0 -1 0 1 0 3 -1 1 0 2 0 1 -1 6 2 0 1 0 0 2] [ 0 -1 -1 -1 1 0 -1 0 -2 2 0 1 -1 1 -1 2 4 1 1 -1 -1 1] [-1 0 0 -2 0 0 -2 1 0 1 1 -1 -1 1 -1 0 1 4 1 -2 0 0] [-2 -2 0 -1 -1 2 0 0 0 1 0 0 0 0 1 1 1 1 4 -1 0 1] [ 1 0 0 2 0 0 2 -1 0 -1 -1 1 0 -1 1 0 -1 -2 -1 4 1 0] [-1 -1 1 1 -1 1 0 -1 2 -1 0 0 1 0 0 0 -1 0 0 1 4 0] [ 0 -1 -1 1 0 1 0 1 0 1 -1 0 0 1 1 2 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 830. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 1 1 1 0 1 1 -1 1 -2 -1 1 -1 -1 0 0 1] [ 1 4 -2 0 0 1 1 0 0 1 0 -1 0 1 -1 0 0 1 0 -1 1 -1] [-1 -2 4 0 0 1 -2 1 1 -1 0 1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1] [ 1 0 0 4 2 1 2 0 1 0 2 0 0 2 0 0 2 1 1 0 0 0] [ 2 0 0 2 4 -1 1 0 2 0 1 0 0 1 0 0 1 -1 -1 0 0 0] [-1 1 1 1 -1 4 0 1 0 0 0 -1 -1 1 1 0 -1 2 1 -1 0 -1] [ 1 1 -2 2 1 0 4 -1 1 0 1 0 1 2 -1 1 1 1 1 1 0 1] [ 1 0 1 0 0 1 -1 4 -1 1 1 1 -1 0 0 -2 -1 -1 -1 -1 1 0] [ 1 0 1 1 2 0 1 -1 6 -2 -1 2 1 0 -1 -1 -1 -1 -2 -1 -2 0] [ 0 1 -1 0 0 0 0 1 -2 4 0 -1 -1 1 -1 0 1 1 1 1 1 -1] [ 1 0 0 2 1 0 1 1 -1 0 4 0 -1 0 0 0 1 0 0 -1 0 0] [ 1 -1 1 0 0 -1 0 1 2 -1 0 4 1 0 -1 -1 -1 -2 -1 0 -1 0] [-1 0 -1 0 0 -1 1 -1 1 -1 -1 1 4 0 1 0 0 0 0 1 1 1] [ 1 1 -1 2 1 1 2 0 0 1 0 0 0 4 -1 1 1 1 1 1 1 0] [-2 -1 1 0 0 1 -1 0 -1 -1 0 -1 1 -1 4 0 -1 0 1 0 0 0] [-1 0 -1 0 0 0 1 -2 -1 0 0 -1 0 1 0 4 1 1 1 1 0 0] [ 1 0 -1 2 1 -1 1 -1 -1 1 1 -1 0 1 -1 1 4 1 1 1 1 1] [-1 1 -1 1 -1 2 1 -1 -1 1 0 -2 0 1 0 1 1 4 2 1 1 0] [-1 0 -1 1 -1 1 1 -1 -2 1 0 -1 0 1 1 1 1 2 4 1 0 0] [ 0 -1 -1 0 0 -1 1 -1 -1 1 -1 0 1 1 0 1 1 1 1 4 1 1] [ 0 1 -1 0 0 0 0 1 -2 1 0 -1 1 1 0 0 1 1 0 1 4 0] [ 1 -1 -1 0 0 -1 1 0 0 -1 0 0 1 0 0 0 1 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 831. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 -2 0 -1 2 -1 -1 -2 0 0 -2 1 -2 -1 -2 -2 -2 1 -1] [ 2 4 -1 -1 -2 1 0 2 1 0 -2 0 0 -2 2 -2 -2 0 -2 -2 0 1] [ 0 -1 4 2 2 -2 -2 1 1 1 2 0 0 1 -1 0 0 0 2 0 1 -1] [ 1 -1 2 6 -1 -1 -3 1 -1 -2 -1 1 -2 1 -1 -1 0 -3 -1 2 2 -1] [-2 -2 2 -1 6 -2 0 0 0 1 3 1 1 1 -2 1 0 1 3 1 1 1] [ 0 1 -2 -1 -2 4 2 -1 0 1 -1 0 0 0 1 1 -1 1 0 -1 -1 0] [-1 0 -2 -3 0 2 4 -1 0 1 1 -1 1 0 0 1 0 1 0 0 -1 1] [ 2 2 1 1 0 -1 -1 4 1 -1 -1 0 0 -2 0 -2 -2 -2 -2 0 2 1] [-1 1 1 -1 0 0 0 1 4 1 1 -1 1 0 0 0 0 2 1 -1 0 1] [-1 0 1 -2 1 1 1 -1 1 4 1 -1 1 1 0 1 0 2 2 -1 -1 0] [-2 -2 2 -1 3 -1 1 -1 1 1 6 -1 2 2 -1 1 2 1 3 1 -1 0] [ 0 0 0 1 1 0 -1 0 -1 -1 -1 4 0 -1 1 1 -1 0 1 0 0 0] [ 0 0 0 -2 1 0 1 0 1 1 2 0 4 0 0 0 1 0 2 0 -1 0] [-2 -2 1 1 1 0 0 -2 0 1 2 -1 0 4 -1 1 1 1 2 1 0 -1] [ 1 2 -1 -1 -2 1 0 0 0 0 -1 1 0 -1 4 0 -1 0 -1 -2 -1 0] [-2 -2 0 -1 1 1 1 -2 0 1 1 1 0 1 0 4 1 2 2 0 -1 0] [-1 -2 0 0 0 -1 0 -2 0 0 2 -1 1 1 -1 1 4 0 1 1 -1 0] [-2 0 0 -3 1 1 1 -2 2 2 1 0 0 1 0 2 0 6 3 -2 -1 0] [-2 -2 2 -1 3 0 0 -2 1 2 3 1 2 2 -1 2 1 3 6 -1 -1 -1] [-2 -2 0 2 1 -1 0 0 -1 -1 1 0 0 1 -2 0 1 -2 -1 6 1 1] [ 1 0 1 2 1 -1 -1 2 0 -1 -1 0 -1 0 -1 -1 -1 -1 -1 1 4 0] [-1 1 -1 -1 1 0 1 1 1 0 0 0 0 -1 0 0 0 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 832. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -2 2 0 -1 1 1 1 -2 -2 -1 -1 -2 -1 2 1 -1 1 0 -2] [-1 4 0 1 -2 1 0 -2 -2 -1 0 -1 -1 0 0 2 -1 -1 -1 -1 1 0] [-2 0 4 1 -2 0 2 0 1 -1 1 1 1 2 0 0 -2 -1 0 1 0 2] [-2 1 1 6 1 2 -1 -1 0 -2 -1 3 1 2 1 2 -1 -2 2 -3 1 1] [ 2 -2 -2 1 6 0 -1 0 1 1 -3 0 -1 -1 -1 -1 1 1 2 0 1 0] [ 0 1 0 2 0 4 0 1 -1 -1 0 0 0 0 -1 0 0 0 1 -2 0 0] [-1 0 2 -1 -1 0 4 0 -1 1 2 -1 -1 1 0 0 -1 1 0 2 0 1] [ 1 -2 0 -1 0 1 0 4 0 0 1 1 1 -1 -1 -1 0 1 0 1 -2 -1] [ 1 -2 1 0 1 -1 -1 0 4 0 -2 0 1 1 -1 -1 1 -1 0 0 0 0] [ 1 -1 -1 -2 1 -1 1 0 0 4 -1 -1 -1 0 0 -1 2 2 0 2 -1 0] [-2 0 1 -1 -3 0 2 1 -2 -1 6 0 0 0 1 0 -1 1 0 1 -1 0] [-2 -1 1 3 0 0 -1 1 0 -1 0 6 3 1 1 1 -1 0 1 -1 0 1] [-1 -1 1 1 -1 0 -1 1 1 -1 0 3 4 1 0 0 0 -1 1 0 0 0] [-1 0 2 2 -1 0 1 -1 1 0 0 1 1 4 0 1 0 -1 0 0 1 1] [-2 0 0 1 -1 -1 0 -1 -1 0 1 1 0 0 4 0 -1 -1 1 -1 -1 1] [-1 2 0 2 -1 0 0 -1 -1 -1 0 1 0 1 0 4 0 -1 -1 -1 1 0] [ 2 -1 -2 -1 1 0 -1 0 1 2 -1 -1 0 0 -1 0 4 1 0 0 0 -1] [ 1 -1 -1 -2 1 0 1 1 -1 2 1 0 -1 -1 -1 -1 1 4 0 2 0 0] [-1 -1 0 2 2 1 0 0 0 0 0 1 1 0 1 -1 0 0 4 -1 0 1] [ 1 -1 1 -3 0 -2 2 1 0 2 1 -1 0 0 -1 -1 0 2 -1 6 0 0] [ 0 1 0 1 1 0 0 -2 0 -1 -1 0 0 1 -1 1 0 0 0 0 4 0] [-2 0 2 1 0 0 1 -1 0 0 0 1 0 1 1 0 -1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 833. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 -2 1 1 -1 1 0 -1 0 2 2 -1 -1 1 -1 -1 1 0] [ 1 4 1 0 0 -2 2 2 -2 2 1 1 1 2 0 -1 -1 2 -2 -2 -1 -1] [-1 1 4 -1 2 1 2 0 0 1 1 2 -1 -1 -1 -1 -1 1 0 -1 0 0] [-1 0 -1 4 -1 0 -2 1 0 0 1 1 0 -1 -1 1 0 1 1 -1 -1 -1] [-1 0 2 -1 4 2 2 0 0 0 1 2 -1 -1 -1 1 -1 -1 0 1 0 -1] [-2 -2 1 0 2 6 0 -1 3 -1 -1 1 0 -3 0 2 2 -1 0 1 1 1] [ 1 2 2 -2 2 0 6 0 -1 0 0 2 -1 1 1 -1 0 2 -1 -2 -1 0] [ 1 2 0 1 0 -1 0 4 0 2 2 1 0 1 0 -1 -1 2 -1 -2 -1 -2] [-1 -2 0 0 0 3 -1 0 4 0 0 0 0 -2 1 1 1 0 1 0 1 1] [ 1 2 1 0 0 -1 0 2 0 4 2 0 0 1 0 0 -1 2 -1 -2 1 0] [ 0 1 1 1 1 -1 0 2 0 2 4 1 0 0 -1 0 -1 2 1 -2 0 -1] [-1 1 2 1 2 1 2 1 0 0 1 4 -1 -1 -1 0 -1 1 0 -1 -1 -1] [ 0 1 -1 0 -1 0 -1 0 0 0 0 -1 4 1 0 0 1 -1 0 1 0 0] [ 2 2 -1 -1 -1 -3 1 1 -2 1 0 -1 1 4 1 -1 -1 1 -1 -1 0 -1] [ 2 0 -1 -1 -1 0 1 0 1 0 -1 -1 0 1 4 0 0 0 -1 -1 1 1] [-1 -1 -1 1 1 2 -1 -1 1 0 0 0 0 -1 0 4 1 -1 0 1 1 1] [-1 -1 -1 0 -1 2 0 -1 1 -1 -1 -1 1 -1 0 1 4 0 0 0 0 2] [ 1 2 1 1 -1 -1 2 2 0 2 2 1 -1 1 0 -1 0 6 0 -4 0 0] [-1 -2 0 1 0 0 -1 -1 1 -1 1 0 0 -1 -1 0 0 0 4 0 0 0] [-1 -2 -1 -1 1 1 -2 -2 0 -2 -2 -1 1 -1 -1 1 0 -4 0 6 1 0] [ 1 -1 0 -1 0 1 -1 -1 1 1 0 -1 0 0 1 1 0 0 0 1 4 1] [ 0 -1 0 -1 -1 1 0 -2 1 0 -1 -1 0 -1 1 1 2 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 834. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -2 2 -2 1 -1 -1 1 1 -1 1 2 -1 1 2 1 1 -1 -2 0] [-2 4 1 1 -1 2 -1 1 1 -1 0 0 1 -2 1 -1 -2 0 -1 0 0 1] [ 0 1 4 1 -1 1 -1 2 2 -2 -1 1 2 -1 -1 1 0 1 -1 -1 -1 -1] [-2 1 1 4 -2 2 -1 1 1 0 -1 1 -1 -1 -1 0 -1 -1 -1 1 2 1] [ 2 -1 -1 -2 4 -2 0 -1 -2 0 0 0 1 2 1 -1 1 1 1 -1 0 -1] [-2 2 1 2 -2 4 0 2 2 -1 0 0 -1 -2 0 0 -2 -1 -2 1 1 1] [ 1 -1 -1 -1 0 0 4 0 0 1 1 -1 -2 1 1 1 -1 0 1 0 -2 0] [-1 1 2 1 -1 2 0 4 1 -2 0 0 1 -1 0 0 -1 1 -1 -1 -1 -1] [-1 1 2 1 -2 2 0 1 4 -1 0 0 -1 -2 -1 0 0 0 -2 0 0 0] [ 1 -1 -2 0 0 -1 1 -2 -1 4 1 -1 -1 1 -1 0 1 0 1 0 0 1] [ 1 0 -1 -1 0 0 1 0 0 1 4 -2 0 -1 -1 -1 0 -1 0 1 -1 0] [-1 0 1 1 0 0 -1 0 0 -1 -2 4 -1 0 0 1 0 -1 1 0 1 0] [ 1 1 2 -1 1 -1 -2 1 -1 -1 0 -1 6 0 0 0 1 2 -1 -1 -2 -1] [ 2 -2 -1 -1 2 -2 1 -1 -2 1 -1 0 0 4 0 1 1 1 1 -1 0 0] [-1 1 -1 -1 1 0 1 0 -1 -1 -1 0 0 0 4 -1 -2 0 1 0 -1 0] [ 1 -1 1 0 -1 0 1 0 0 0 -1 1 0 1 -1 4 1 0 0 0 -1 1] [ 2 -2 0 -1 1 -2 -1 -1 0 1 0 0 1 1 -2 1 4 1 0 -1 0 0] [ 1 0 1 -1 1 -1 0 1 0 0 -1 -1 2 1 0 0 1 4 0 -2 -1 -1] [ 1 -1 -1 -1 1 -2 1 -1 -2 1 0 1 -1 1 1 0 0 0 4 -1 -1 0] [-1 0 -1 1 -1 1 0 -1 0 0 1 0 -1 -1 0 0 -1 -2 -1 4 2 1] [-2 0 -1 2 0 1 -2 -1 0 0 -1 1 -2 0 -1 -1 0 -1 -1 2 6 0] [ 0 1 -1 1 -1 1 0 -1 0 1 0 0 -1 0 0 1 0 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 835. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 1 -1 0 2 -2 0 0 -1 2 1 1 -2 1 -1 2 0 -1] [-2 4 -2 2 -1 -1 0 1 -2 1 1 1 1 0 -1 1 0 -1 0 -2 1 0] [ 2 -2 4 -2 0 0 0 -1 1 -1 -1 0 0 1 0 -1 0 1 1 1 1 0] [-2 2 -2 4 0 -1 1 0 -2 1 1 0 0 -1 -1 1 0 -1 -1 0 0 0] [ 1 -1 0 0 4 0 1 1 1 1 1 0 -2 1 -1 1 -1 0 0 1 1 1] [ 1 -1 0 -1 0 4 0 -1 2 -2 -1 1 1 1 2 1 0 2 -1 -1 -2 0] [-1 0 0 1 1 0 4 0 -1 2 -1 1 0 0 -2 -1 1 0 1 0 0 2] [ 0 1 -1 0 1 -1 0 4 1 0 1 0 0 1 0 0 0 0 -1 1 0 0] [ 2 -2 1 -2 1 2 -1 1 6 -3 1 -1 1 0 1 -1 0 1 -1 1 0 1] [-2 1 -1 1 1 -2 2 0 -3 6 1 -1 -1 -1 -3 -1 0 -2 1 -2 2 1] [ 0 1 -1 1 1 -1 -1 1 1 1 4 -1 -1 -1 -1 0 -1 -2 -1 -1 1 0] [ 0 1 0 0 0 1 1 0 -1 -1 -1 4 0 1 0 1 1 1 0 -1 0 1] [-1 1 0 0 -2 1 0 0 1 -1 -1 0 4 -1 0 -1 1 0 0 -1 -1 0] [ 2 0 1 -1 1 1 0 1 0 -1 -1 1 -1 4 1 2 -1 2 0 1 0 -1] [ 1 -1 0 -1 -1 2 -2 0 1 -3 -1 0 0 1 4 1 0 2 -1 1 -2 -2] [ 1 1 -1 1 1 1 -1 0 -1 -1 0 1 -1 2 1 4 -2 1 -1 0 0 -1] [-2 0 0 0 -1 0 1 0 0 0 -1 1 1 -1 0 -2 4 1 1 -1 0 1] [ 1 -1 1 -1 0 2 0 0 1 -2 -2 1 0 2 2 1 1 4 0 1 0 0] [-1 0 1 -1 0 -1 1 -1 -1 1 -1 0 0 0 -1 -1 1 0 4 -1 1 1] [ 2 -2 1 0 1 -1 0 1 1 -2 -1 -1 -1 1 1 0 -1 1 -1 6 0 -1] [ 0 1 1 0 1 -2 0 0 0 2 1 0 -1 0 -2 0 0 0 1 0 6 1] [-1 0 0 0 1 0 2 0 1 1 0 1 0 -1 -2 -1 1 0 1 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 836. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 -2 -1 1 -1 1 1 -1 -1 1 1 0 -1 0 2 0 0 -1 -1] [ 1 4 -1 0 0 0 -1 1 2 1 0 0 2 1 1 0 -1 0 0 0 -2 -2] [ 1 -1 4 -1 0 0 -1 -1 -1 -1 1 -1 0 0 -2 -1 0 1 1 1 -1 2] [ 1 0 -1 4 -2 -1 1 1 2 -1 -2 1 -1 1 0 -1 -1 1 -1 -2 1 -2] [-2 0 0 -2 4 2 -1 1 -1 0 2 1 1 -1 1 1 0 -1 1 1 -1 0] [-1 0 0 -1 2 4 1 -1 1 0 1 2 2 1 2 -1 0 1 -1 -1 -2 0] [ 1 -1 -1 1 -1 1 6 -2 0 -1 -1 0 1 0 2 0 -1 2 -2 -2 1 1] [-1 1 -1 1 1 -1 -2 6 -1 -2 -1 0 -1 1 -1 1 -2 -1 2 -1 2 0] [ 1 2 -1 2 -1 1 0 -1 6 0 -1 1 1 2 2 -2 1 2 -1 0 -3 -3] [ 1 1 -1 -1 0 0 -1 -2 0 6 0 1 1 0 1 -1 2 0 0 2 -2 -2] [-1 0 1 -2 2 1 -1 -1 -1 0 4 1 1 -2 0 1 0 -1 1 0 -1 1] [-1 0 -1 1 1 2 0 0 1 1 1 4 1 0 1 -1 0 0 -1 -2 -1 -1] [ 1 2 0 -1 1 2 1 -1 1 1 1 1 4 1 2 0 0 1 -1 -1 -2 -1] [ 1 1 0 1 -1 1 0 1 2 0 -2 0 1 4 1 -2 0 2 0 -1 -1 -1] [ 0 1 -2 0 1 2 2 -1 2 1 0 1 2 1 4 0 0 1 -1 -1 -1 -2] [-1 0 -1 -1 1 -1 0 1 -2 -1 1 -1 0 -2 0 4 0 -2 0 0 2 1] [ 0 -1 0 -1 0 0 -1 -2 1 2 0 0 0 0 0 0 4 0 0 2 -1 0] [ 2 0 1 1 -1 1 2 -1 2 0 -1 0 1 2 1 -2 0 4 0 0 -1 0] [ 0 0 1 -1 1 -1 -2 2 -1 0 1 -1 -1 0 -1 0 0 0 4 1 0 1] [ 0 0 1 -2 1 -1 -2 -1 0 2 0 -2 -1 -1 -1 0 2 0 1 6 -1 0] [-1 -2 -1 1 -1 -2 1 2 -3 -2 -1 -1 -2 -1 -1 2 -1 -1 0 -1 6 1] [-1 -2 2 -2 0 0 1 0 -3 -2 1 -1 -1 -1 -2 1 0 0 1 0 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 837. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 1 -1 -1 0 1 2 -1 1 -2 0 1 2 2 -1 1 -1 -2 -2 -2] [ 1 4 0 -1 -2 1 1 0 -1 0 2 -1 1 0 1 0 0 -1 0 1 0 0] [ 0 0 4 0 0 -1 0 -2 1 -2 0 -2 -1 0 0 2 0 0 -1 1 -1 0] [ 1 -1 0 4 -1 1 -1 -1 2 1 -1 1 1 1 1 1 1 2 -1 -1 0 -2] [-1 -2 0 -1 4 -2 1 1 0 -1 0 0 0 -1 0 0 0 0 0 -1 0 0] [-1 1 -1 1 -2 6 -2 -2 0 0 -1 3 0 2 -2 -3 0 -1 -1 1 0 1] [ 0 1 0 -1 1 -2 4 2 -2 1 1 -2 2 -2 2 0 0 1 0 0 0 0] [ 1 0 -2 -1 1 -2 2 6 0 2 1 0 2 0 2 0 1 1 2 -2 0 0] [ 2 -1 1 2 0 0 -2 0 6 -1 -1 -1 -1 1 1 3 -1 2 -1 -3 -1 -1] [-1 0 -2 1 -1 0 1 2 -1 6 -1 2 2 0 1 -2 2 2 2 1 1 0] [ 1 2 0 -1 0 -1 1 1 -1 -1 4 0 1 -1 1 1 0 -1 1 -1 0 0] [-2 -1 -2 1 0 3 -2 0 -1 2 0 6 1 1 -2 -3 2 -1 1 0 1 1] [ 0 1 -1 1 0 0 2 2 -1 2 1 1 4 0 2 0 2 1 0 -1 1 -1] [ 1 0 0 1 -1 2 -2 0 1 0 -1 1 0 4 0 -1 1 0 0 0 -1 -1] [ 2 1 0 1 0 -2 2 2 1 1 1 -2 2 0 4 2 0 2 0 -2 0 -2] [ 2 0 2 1 0 -3 0 0 3 -2 1 -3 0 -1 2 6 0 1 -1 -2 0 -1] [-1 0 0 1 0 0 0 1 -1 2 0 2 2 1 0 0 4 0 1 1 1 0] [ 1 -1 0 2 0 -1 1 1 2 2 -1 -1 1 0 2 1 0 4 0 -1 0 -1] [-1 0 -1 -1 0 -1 0 2 -1 2 1 1 0 0 0 -1 1 0 4 0 1 1] [-2 1 1 -1 -1 1 0 -2 -3 1 -1 0 -1 0 -2 -2 1 -1 0 6 1 1] [-2 0 -1 0 0 0 0 0 -1 1 0 1 1 -1 0 0 1 0 1 1 4 0] [-2 0 0 -2 0 1 0 0 -1 0 0 1 -1 -1 -2 -1 0 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 838. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 -1 -1 0 -2 -1 2 1 1 0 -2 -1 0 2 -2 -2 -1 -1] [-2 4 2 1 1 -1 -1 1 2 -1 -1 -2 0 1 0 1 1 -1 2 2 -1 1] [-2 2 4 1 2 0 -1 0 2 0 -2 -2 -1 0 0 2 0 -2 2 2 0 2] [ 0 1 1 4 2 -2 0 0 1 1 0 -1 -1 1 -2 2 2 0 1 1 0 0] [-1 1 2 2 4 0 1 0 1 0 -1 -1 -2 0 0 1 0 -1 1 1 0 1] [-1 -1 0 -2 0 6 2 0 0 -1 -2 1 1 1 0 -1 -3 1 -2 0 1 -1] [-1 -1 -1 0 1 2 6 -2 -1 0 1 0 -1 0 0 -1 1 1 1 -1 1 -1] [ 0 1 0 0 0 0 -2 4 0 -1 0 1 0 0 1 -1 0 0 -2 0 0 0] [-2 2 2 1 1 0 -1 0 4 0 -2 -2 -1 1 1 2 -1 -2 2 2 0 0] [-1 -1 0 1 0 -1 0 -1 0 4 0 0 0 0 0 1 0 -1 0 1 1 1] [ 2 -1 -2 0 -1 -2 1 0 -2 0 4 0 0 -1 0 -1 1 1 0 -2 -1 0] [ 1 -2 -2 -1 -1 1 0 1 -2 0 0 4 0 -1 0 -2 0 1 -2 -1 1 -1] [ 1 0 -1 -1 -2 1 -1 0 -1 0 0 0 4 2 -1 0 -1 2 -2 0 -1 0] [ 0 1 0 1 0 1 0 0 1 0 -1 -1 2 4 -2 1 0 1 -1 1 -1 0] [-2 0 0 -2 0 0 0 1 1 0 0 0 -1 -2 6 0 -2 -2 1 0 0 0] [-1 1 2 2 1 -1 -1 -1 2 1 -1 -2 0 1 0 4 0 -1 2 2 0 1] [ 0 1 0 2 0 -3 1 0 -1 0 1 0 -1 0 -2 0 6 0 2 0 1 0] [ 2 -1 -2 0 -1 1 1 0 -2 -1 1 1 2 1 -2 -1 0 4 -2 -1 0 -1] [-2 2 2 1 1 -2 1 -2 2 0 0 -2 -2 -1 1 2 2 -2 6 1 0 1] [-2 2 2 1 1 0 -1 0 2 1 -2 -1 0 1 0 2 0 -1 1 4 1 1] [-1 -1 0 0 0 1 1 0 0 1 -1 1 -1 -1 0 0 1 0 0 1 4 -1] [-1 1 2 0 1 -1 -1 0 0 1 0 -1 0 0 0 1 0 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 839. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 0 0 -2 1 -1 1 0 1 0 0 0 -1 1 -1 2 -1 -1] [ 0 4 0 0 2 0 0 0 1 0 -1 1 1 0 0 -2 -2 2 2 -1 -1 0] [ 0 0 4 -2 -1 -1 -1 0 -1 -2 0 0 0 2 -2 -1 -1 -1 0 2 0 0] [ 0 0 -2 4 -1 2 1 0 0 1 -1 0 0 -1 2 1 0 0 0 -1 0 -1] [ 1 2 -1 -1 6 -2 1 1 1 1 2 -1 0 1 -1 0 -1 3 0 1 0 -1] [ 0 0 -1 2 -2 4 -1 0 0 -1 -2 0 0 -2 1 -1 0 0 0 -2 0 1] [ 0 0 -1 1 1 -1 4 -1 -1 2 1 1 1 0 1 1 1 0 0 0 -1 0] [-2 0 0 0 1 0 -1 4 -1 0 -1 -2 -1 0 0 0 0 0 1 0 1 -1] [ 1 1 -1 0 1 0 -1 -1 4 1 0 0 1 -1 -1 0 0 1 1 0 -1 0] [-1 0 -2 1 1 -1 2 0 1 4 0 0 1 0 0 2 1 0 1 -1 -1 0] [ 1 -1 0 -1 2 -2 1 -1 0 0 4 0 0 1 0 1 0 1 -2 1 0 0] [ 0 1 0 0 -1 0 1 -2 0 0 0 4 0 0 1 0 0 0 0 -2 -1 1] [ 1 1 0 0 0 0 1 -1 1 1 0 0 4 0 0 0 0 0 1 0 -2 1] [ 0 0 2 -1 1 -2 0 0 -1 0 1 0 0 4 -1 1 -1 0 -1 1 0 0] [ 0 0 -2 2 -1 1 1 0 -1 0 0 1 0 -1 4 0 0 0 0 -2 0 0] [ 0 -2 -1 1 0 -1 1 0 0 2 1 0 0 1 0 4 1 -1 -1 0 0 -1] [-1 -2 -1 0 -1 0 1 0 0 1 0 0 0 -1 0 1 4 -2 0 0 0 1] [ 1 2 -1 0 3 0 0 0 1 0 1 0 0 0 0 -1 -2 4 0 0 0 0] [-1 2 0 0 0 0 0 1 1 1 -2 0 1 -1 0 -1 0 0 4 -1 -1 0] [ 2 -1 2 -1 1 -2 0 0 0 -1 1 -2 0 1 -2 0 0 0 -1 6 1 -2] [-1 -1 0 0 0 0 -1 1 -1 -1 0 -1 -2 0 0 0 0 0 -1 1 4 -1] [-1 0 0 -1 -1 1 0 -1 0 0 0 1 1 0 0 -1 1 0 0 -2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 840. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -1 1 -2 -1 0 2 0 0 0 1 0 2 -1 -1 2 1 2 0 -1] [ 2 4 -2 -1 2 -2 1 0 1 0 -1 -1 -1 -1 1 -2 -1 0 0 2 0 -2] [-2 -2 4 2 -1 2 1 -1 0 -1 0 0 0 1 -2 1 0 -1 -1 -1 -1 0] [-1 -1 2 4 -2 1 2 -2 0 -2 0 0 0 -1 -1 2 0 1 -2 1 -2 0] [ 1 2 -1 -2 4 0 -1 1 1 1 0 -1 0 1 1 -2 -1 0 0 0 1 0] [-2 -2 2 1 0 4 0 0 0 -1 1 1 0 1 -2 1 0 0 -1 -2 0 1] [-1 1 1 2 -1 0 6 -3 0 0 -2 -1 0 -1 -1 0 0 -2 -1 0 -2 -2] [ 0 0 -1 -2 1 0 -3 4 -1 1 0 0 0 0 0 -1 0 0 0 -1 1 1] [ 2 1 0 0 1 0 0 -1 4 -1 1 0 0 0 0 0 0 1 1 0 0 -1] [ 0 0 -1 -2 1 -1 0 1 -1 4 -1 0 0 0 1 -2 1 -1 0 -1 1 0] [ 0 -1 0 0 0 1 -2 0 1 -1 4 0 0 1 1 1 1 0 1 -1 0 1] [ 0 -1 0 0 -1 1 -1 0 0 0 0 4 -1 -1 0 0 1 0 0 1 0 1] [ 1 -1 0 0 0 0 0 0 0 0 0 -1 4 2 1 1 0 0 0 -1 -1 1] [ 0 -1 1 -1 1 1 -1 0 0 0 1 -1 2 4 0 0 -1 0 1 -1 0 0] [ 2 1 -2 -1 1 -2 -1 0 0 1 1 0 1 0 4 -1 0 0 1 1 0 1] [-1 -2 1 2 -2 1 0 -1 0 -2 1 0 1 0 -1 4 1 1 0 -1 -1 1] [-1 -1 0 0 -1 0 0 0 0 1 1 1 0 -1 0 1 4 -2 0 -1 0 1] [ 2 0 -1 1 0 0 -2 0 1 -1 0 0 0 0 0 1 -2 6 0 2 1 0] [ 1 0 -1 -2 0 -1 -1 0 1 0 1 0 0 1 1 0 0 0 4 -1 1 0] [ 2 2 -1 1 0 -2 0 -1 0 -1 -1 1 -1 -1 1 -1 -1 2 -1 6 0 -1] [ 0 0 -1 -2 1 0 -2 1 0 1 0 0 -1 0 0 -1 0 1 1 0 4 0] [-1 -2 0 0 0 1 -2 1 -1 0 1 1 1 0 1 1 1 0 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 841. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 1 1 1 1 1 1 1 -2 2 -1 -1 1 -1 -2 -2 1 1] [ 1 4 0 2 1 -1 2 0 2 2 0 2 0 2 1 0 1 -2 -2 0 -1 0] [-1 0 4 0 0 -1 -2 -2 0 1 -1 1 2 1 0 1 -2 1 2 2 -1 -2] [ 1 2 0 4 2 -1 2 0 2 1 -1 2 1 0 -1 0 0 0 0 0 0 0] [ 2 1 0 2 4 1 1 0 1 2 1 1 -1 0 -2 0 0 0 0 0 0 0] [ 1 -1 -1 -1 1 4 0 0 -1 0 1 0 -2 -1 -2 -1 0 -1 1 -2 1 0] [ 1 2 -2 2 1 0 6 2 2 0 -1 0 -2 1 -1 -2 1 -1 -2 0 0 0] [ 1 0 -2 0 0 0 2 4 0 -1 -1 -1 -2 1 1 -2 0 -1 -2 0 0 2] [ 1 2 0 2 1 -1 2 0 4 2 0 1 1 2 -1 0 0 0 -2 -1 0 0] [ 1 2 1 1 2 0 0 -1 2 4 1 2 0 1 0 0 0 -1 -1 0 -1 0] [ 1 0 -1 -1 1 1 -1 -1 0 1 4 -1 0 0 -1 0 2 0 0 -1 1 0] [ 1 2 1 2 1 0 0 -1 1 2 -1 4 0 0 0 0 0 -1 0 -1 -1 0] [-2 0 2 1 -1 -2 -2 -2 1 0 0 0 6 -1 1 1 0 1 2 2 -1 -1] [ 2 2 1 0 0 -1 1 1 2 1 0 0 -1 6 0 0 0 -1 -3 -1 0 0] [-1 1 0 -1 -2 -2 -1 1 -1 0 -1 0 1 0 6 0 0 -2 -2 2 -1 2] [-1 0 1 0 0 -1 -2 -2 0 0 0 0 1 0 0 4 0 1 0 0 0 0] [ 1 1 -2 0 0 0 1 0 0 0 2 0 0 0 0 0 4 -1 -1 -1 0 1] [-1 -2 1 0 0 -1 -1 -1 0 -1 0 -1 1 -1 -2 1 -1 4 2 1 1 -1] [-2 -2 2 0 0 1 -2 -2 -2 -1 0 0 2 -3 -2 0 -1 2 6 1 0 -2] [-2 0 2 0 0 -2 0 0 -1 0 -1 -1 2 -1 2 0 -1 1 1 6 -1 -1] [ 1 -1 -1 0 0 1 0 0 0 -1 1 -1 -1 0 -1 0 0 1 0 -1 4 0] [ 1 0 -2 0 0 0 0 2 0 0 0 0 -1 0 2 0 1 -1 -2 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 842. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 -1 0 -1 -1 -2 0 1 -2 -1 1 -1 1 -1 -1 0 2 0] [-2 4 2 1 1 1 1 -1 2 2 -1 0 2 2 -1 0 -1 0 1 0 -1 -1] [-2 2 4 1 2 1 0 1 0 2 0 0 2 0 -2 1 0 0 1 0 -2 -1] [ 0 1 1 4 2 -1 1 -2 1 1 0 1 0 1 1 1 -1 -1 2 -1 -2 1] [-1 1 2 2 4 -1 0 -1 0 1 0 0 1 0 -1 2 0 0 2 0 -1 1] [-1 1 1 -1 -1 4 -1 0 0 2 1 1 1 -1 0 0 1 1 -1 1 -1 -2] [ 0 1 0 1 0 -1 4 -1 1 0 0 -1 -1 0 1 1 -1 -2 0 -2 1 1] [-1 -1 1 -2 -1 0 -1 6 -2 -1 -1 -2 2 0 -2 0 0 0 -1 0 -1 0] [-1 2 0 1 0 0 1 -2 4 1 -1 0 0 2 0 0 0 -1 1 -1 -1 0] [-2 2 2 1 1 2 0 -1 1 4 0 0 1 0 0 1 0 1 0 1 -2 -1] [ 0 -1 0 0 0 1 0 -1 -1 0 4 0 -1 -2 1 1 1 0 1 0 1 0] [ 1 0 0 1 0 1 -1 -2 0 0 0 4 0 0 0 -1 0 0 0 1 0 0] [-2 2 2 0 1 1 -1 2 0 1 -1 0 4 1 -2 0 0 1 1 1 -2 -1] [-1 2 0 1 0 -1 0 0 2 0 -2 0 1 4 -1 -1 -1 0 1 0 -1 0] [ 1 -1 -2 1 -1 0 1 -2 0 0 1 0 -2 -1 4 0 -1 0 0 -1 0 1] [-1 0 1 1 2 0 1 0 0 1 1 -1 0 -1 0 4 1 0 1 -1 0 1] [ 1 -1 0 -1 0 1 -1 0 0 0 1 0 0 -1 -1 1 4 0 0 1 1 -1] [-1 0 0 -1 0 1 -2 0 -1 1 0 0 1 0 0 0 0 4 0 2 0 -1] [-1 1 1 2 2 -1 0 -1 1 0 1 0 1 1 0 1 0 0 4 -1 -1 1] [ 0 0 0 -1 0 1 -2 0 -1 1 0 1 1 0 -1 -1 1 2 -1 4 1 -1] [ 2 -1 -2 -2 -1 -1 1 -1 -1 -2 1 0 -2 -1 0 0 1 0 -1 1 6 0] [ 0 -1 -1 1 1 -2 1 0 0 -1 0 0 -1 0 1 1 -1 -1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 843. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 1 -1 -2 1 0 -1 -1 2 -1 1 -1 1 0 0 -2 -1 2] [ 0 4 -1 -1 1 2 2 0 -2 0 -1 0 2 -2 -1 1 -1 0 1 1 2 2] [ 1 -1 4 0 0 1 0 -2 2 1 -1 -1 -1 1 0 1 -1 -1 1 0 -2 1] [ 2 -1 0 4 -2 0 -1 -1 2 -1 -1 -1 1 0 1 0 1 0 -1 -2 -2 1] [-2 1 0 -2 4 -1 2 0 0 0 1 0 -2 0 -1 1 -1 0 0 2 1 -1] [ 1 2 1 0 -1 4 1 0 -1 1 -2 0 2 -1 -1 1 -1 0 2 0 1 3] [-1 2 0 -1 2 1 4 0 0 0 -1 0 -1 0 -2 2 -2 0 0 1 2 1] [-2 0 -2 -1 0 0 0 4 -1 0 1 1 -1 1 -1 0 0 1 0 1 2 -1] [ 1 -2 2 2 0 -1 0 -1 6 -1 1 0 -2 2 1 0 -1 1 -1 -1 -3 1] [ 0 0 1 -1 0 1 0 0 -1 4 1 1 0 0 0 0 1 1 1 0 1 1] [-1 -1 -1 -1 1 -2 -1 1 1 1 6 0 -2 0 2 -2 2 3 -2 1 0 0] [-1 0 -1 -1 0 0 0 1 0 1 0 4 1 0 -1 -1 0 1 1 -1 0 -1] [ 2 2 -1 1 -2 2 -1 -1 -2 0 -2 1 6 -3 1 -1 1 -1 2 -1 0 2] [-1 -2 1 0 0 -1 0 1 2 0 0 0 -3 4 -1 1 -1 0 -1 0 0 -1] [ 1 -1 0 1 -1 -1 -2 -1 1 0 2 -1 1 -1 4 -2 1 0 0 0 -2 1] [-1 1 1 0 1 1 2 0 0 0 -2 -1 -1 1 -2 4 -1 -1 0 1 1 1] [ 1 -1 -1 1 -1 -1 -2 0 -1 1 2 0 1 -1 1 -1 4 1 -1 -1 0 0] [ 0 0 -1 0 0 0 0 1 1 1 3 1 -1 0 0 -1 1 4 -1 0 1 1] [ 0 1 1 -1 0 2 0 0 -1 1 -2 1 2 -1 0 0 -1 -1 4 0 0 1] [-2 1 0 -2 2 0 1 1 -1 0 1 -1 -1 0 0 1 -1 0 0 4 2 0] [-1 2 -2 -2 1 1 2 2 -3 1 0 0 0 0 -2 1 0 1 0 2 6 0] [ 2 2 1 1 -1 3 1 -1 1 1 0 -1 2 -1 1 1 0 1 1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 844. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 0 2 1 -2 0 -2 0 0 -1 0 0 -1 -1 0 2 -1 1] [-2 4 -2 0 -1 1 -2 -2 0 0 1 1 0 1 0 -1 1 1 0 -2 -1 0] [ 2 -2 4 -1 2 1 2 2 -2 0 -2 -1 -1 -1 1 1 -2 -1 1 2 1 1] [-1 0 -1 4 1 1 -1 0 1 0 0 -1 1 2 -1 -1 2 2 -1 -1 -1 1] [ 1 -1 2 1 4 2 1 1 -1 0 -1 -2 1 1 -1 -1 -1 1 -1 1 -1 2] [ 0 1 1 1 2 4 -1 0 -1 0 0 -1 0 2 -1 0 0 2 -1 0 0 2] [ 2 -2 2 -1 1 -1 4 2 -2 0 -2 -1 0 -2 1 0 -2 -1 1 2 0 1] [ 1 -2 2 0 1 0 2 4 0 -1 -2 -2 0 -1 0 0 -1 0 1 1 1 1] [-2 0 -2 1 -1 -1 -2 0 6 1 0 0 2 1 -2 1 1 0 0 -1 -1 -1] [ 0 0 0 0 0 0 0 -1 1 4 1 1 1 0 0 1 1 -1 -1 0 0 0] [-2 1 -2 0 -1 0 -2 -2 0 1 6 0 0 1 0 0 2 1 -1 -2 2 -1] [ 0 1 -1 -1 -2 -1 -1 -2 0 1 0 4 0 -1 0 0 1 -1 0 -1 -1 -2] [ 0 0 -1 1 1 0 0 0 2 1 0 0 4 0 -1 -1 1 0 0 0 -2 1] [-1 1 -1 2 1 2 -2 -1 1 0 1 -1 0 4 -2 0 1 2 -2 -1 0 1] [ 0 0 1 -1 -1 -1 1 0 -2 0 0 0 -1 -2 4 0 -1 -2 2 1 1 0] [ 0 -1 1 -1 -1 0 0 0 1 1 0 0 -1 0 0 4 0 -1 0 1 2 0] [-1 1 -2 2 -1 0 -2 -1 1 1 2 1 1 1 -1 0 4 1 -1 -2 0 0] [-1 1 -1 2 1 2 -1 0 0 -1 1 -1 0 2 -2 -1 1 4 -1 -1 0 1] [ 0 0 1 -1 -1 -1 1 1 0 -1 -1 0 0 -2 2 0 -1 -1 4 0 0 0] [ 2 -2 2 -1 1 0 2 1 -1 0 -2 -1 0 -1 1 1 -2 -1 0 4 1 1] [-1 -1 1 -1 -1 0 0 1 -1 0 2 -1 -2 0 1 2 0 0 0 1 6 -1] [ 1 0 1 1 2 2 1 1 -1 0 -1 -2 1 1 0 0 0 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 845. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 0 0 -1 1 1 -1 2 -2 -1 0 1 -2 -2 -1 2 -1 -1 0] [ 2 4 -2 2 0 1 -2 2 -1 0 2 -1 0 0 1 -1 -2 -2 0 -2 0 0] [-2 -2 6 -3 -1 -2 3 -1 0 2 -1 1 2 -2 1 3 -1 0 -3 3 2 -2] [ 1 2 -3 6 1 3 -1 1 -2 -2 2 -1 0 0 1 -3 1 -1 0 -3 -2 -1] [ 0 0 -1 1 4 2 0 0 1 0 0 1 -1 -1 0 -1 2 -1 1 0 -1 0] [ 0 1 -2 3 2 6 1 2 1 0 1 -1 -2 1 2 0 2 0 2 -1 -1 0] [-1 -2 3 -1 0 1 6 -1 2 2 -1 0 1 -1 1 2 2 2 0 3 1 -1] [ 1 2 -1 1 0 2 -1 4 1 0 1 -2 0 0 2 1 -1 -1 0 -1 0 0] [ 1 -1 0 -2 1 1 2 1 6 0 -1 -1 -1 1 1 0 2 0 3 1 1 1] [-1 0 2 -2 0 0 2 0 0 4 -1 0 0 -1 1 3 0 0 -1 1 2 -1] [ 2 2 -1 2 0 1 -1 1 -1 -1 4 0 0 -1 1 -1 -2 -1 1 -2 -1 0] [-2 -1 1 -1 1 -1 0 -2 -1 0 0 4 1 -1 -2 0 1 0 -1 0 0 1] [-1 0 2 0 -1 -2 1 0 -1 0 0 1 4 -1 0 1 0 0 -3 0 1 -1] [ 0 0 -2 0 -1 1 -1 0 1 -1 -1 -1 -1 4 0 -1 1 1 2 -1 0 1] [ 1 1 1 1 0 2 1 2 1 1 1 -2 0 0 4 1 -1 -1 0 -1 1 -2] [-2 -1 3 -3 -1 0 2 1 0 3 -1 0 1 -1 1 6 0 1 -2 2 2 0] [-2 -2 -1 1 2 2 2 -1 2 0 -2 1 0 1 -1 0 6 1 1 0 0 1] [-1 -2 0 -1 -1 0 2 -1 0 0 -1 0 0 1 -1 1 1 4 1 2 0 1] [ 2 0 -3 0 1 2 0 0 3 -1 1 -1 -3 2 0 -2 1 1 6 -1 -1 2] [-1 -2 3 -3 0 -1 3 -1 1 1 -2 0 0 -1 -1 2 0 2 -1 6 1 0] [-1 0 2 -2 -1 -1 1 0 1 2 -1 0 1 0 1 2 0 0 -1 1 4 -1] [ 0 0 -2 -1 0 0 -1 0 1 -1 0 1 -1 1 -2 0 1 1 2 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 846. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 1 -2 2 0 1 -1 2 2 -2 1 -1 -1 -1 1 1 1] [ 1 4 -1 2 1 -2 -1 1 2 -1 -1 0 1 0 -1 0 0 -1 -2 1 1 2] [-1 -1 4 -2 -1 1 -1 2 -2 0 -1 0 0 -2 1 0 -1 1 2 -1 1 1] [ 1 2 -2 4 2 -1 1 -1 1 0 1 1 1 1 -2 1 0 -2 -2 2 -1 0] [ 2 1 -1 2 4 -2 2 -2 2 0 2 -1 2 2 -1 2 0 -1 -1 1 1 0] [-2 -2 1 -1 -2 4 0 0 -2 0 0 1 -1 -1 1 0 1 0 1 0 -2 -1] [ 1 -1 -1 1 2 0 4 -2 0 1 2 -1 1 2 0 1 1 -1 0 1 0 -1] [-2 1 2 -1 -2 0 -2 6 -2 1 -2 1 0 -2 2 0 1 0 1 0 2 1] [ 2 2 -2 1 2 -2 0 -2 6 -2 1 -2 1 2 -1 0 1 -1 -2 1 2 1] [ 0 -1 0 0 0 0 1 1 -2 4 1 0 1 0 0 1 0 -1 1 1 1 -1] [ 1 -1 -1 1 2 0 2 -2 1 1 4 0 1 1 -1 2 0 -1 -1 1 0 -2] [-1 0 0 1 -1 1 -1 1 -2 0 0 4 -1 -1 -1 0 0 -1 0 1 -2 -1] [ 2 1 0 1 2 -1 1 0 1 1 1 -1 4 1 -1 2 0 -2 -1 1 2 1] [ 2 0 -2 1 2 -1 2 -2 2 0 1 -1 1 4 -1 1 1 -1 -1 1 1 0] [-2 -1 1 -2 -1 1 0 2 -1 0 -1 -1 -1 -1 4 -1 1 1 2 -1 0 0] [ 1 0 0 1 2 0 1 0 0 1 2 0 2 1 -1 4 1 -1 -1 1 1 0] [-1 0 -1 0 0 1 1 1 1 0 0 0 0 1 1 1 4 -1 0 1 1 0] [-1 -1 1 -2 -1 0 -1 0 -1 -1 -1 -1 -2 -1 1 -1 -1 4 1 -2 0 0] [-1 -2 2 -2 -1 1 0 1 -2 1 -1 0 -1 -1 2 -1 0 1 4 -1 0 0] [ 1 1 -1 2 1 0 1 0 1 1 1 1 1 1 -1 1 1 -2 -1 4 1 0] [ 1 1 1 -1 1 -2 0 2 2 1 0 -2 2 1 0 1 1 0 0 1 6 1] [ 1 2 1 0 0 -1 -1 1 1 -1 -2 -1 1 0 0 0 0 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 847. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 1 -2 1 1 1 -1 -2 -1 1 1 -2 1 2 -1 -2 0 -1] [-2 4 2 1 1 -1 2 0 0 -1 1 1 0 -1 -2 2 -2 -2 1 2 0 2] [-2 2 4 1 2 0 2 -1 -1 -1 2 0 1 0 -2 2 -2 -2 1 2 0 0] [ 0 1 1 4 2 -1 1 -1 1 -2 2 1 1 0 -2 0 -1 -1 -1 1 -1 0] [-1 1 2 2 4 0 1 -2 1 -2 1 0 2 0 -1 1 -1 -1 -1 1 0 0] [ 1 -1 0 -1 0 4 0 -1 1 0 0 -1 1 2 2 -1 0 0 0 0 -1 -1] [-2 2 2 1 1 0 4 0 0 0 1 1 1 0 -2 1 -1 -1 0 2 -1 1] [ 1 0 -1 -1 -2 -1 0 4 0 2 -1 0 -1 -1 0 0 0 1 1 0 0 1] [ 1 0 -1 1 1 1 0 0 4 0 0 1 0 1 0 -1 -1 0 0 0 -1 1] [ 1 -1 -1 -2 -2 0 0 2 0 4 -2 -1 -2 0 0 -1 1 2 0 0 0 1] [-1 1 2 2 1 0 1 -1 0 -2 4 1 1 1 -2 0 -2 -2 0 1 0 -1] [-2 1 0 1 0 -1 1 0 1 -1 1 4 0 -1 0 1 -1 -1 1 1 0 1] [-1 0 1 1 2 1 1 -1 0 -2 1 0 4 1 1 0 0 -1 -1 1 -1 -1] [ 1 -1 0 0 0 2 0 -1 1 0 1 -1 1 4 1 -2 0 0 -1 0 0 -2] [ 1 -2 -2 -2 -1 2 -2 0 0 0 -2 0 1 1 6 0 2 1 0 -1 1 -1] [-2 2 2 0 1 -1 1 0 -1 -1 0 1 0 -2 0 4 -1 -1 2 1 1 1] [ 1 -2 -2 -1 -1 0 -1 0 -1 1 -2 -1 0 0 2 -1 4 1 -1 -1 0 -1] [ 2 -2 -2 -1 -1 0 -1 1 0 2 -2 -1 -1 0 1 -1 1 4 -1 -1 1 0] [-1 1 1 -1 -1 0 0 1 0 0 0 1 -1 -1 0 2 -1 -1 4 0 0 1] [-2 2 2 1 1 0 2 0 0 0 1 1 1 0 -1 1 -1 -1 0 4 0 1] [ 0 0 0 -1 0 -1 -1 0 -1 0 0 0 -1 0 1 1 0 1 0 0 4 -1] [-1 2 0 0 0 -1 1 1 1 1 -1 1 -1 -2 -1 1 -1 0 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 848. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 1 -1 -1 1 0 -2 -1 -1 -1 1 0 1 2 1 -2 1 1] [-2 4 -2 0 2 0 2 1 -1 0 2 0 1 1 0 -1 0 -2 -2 2 -2 -1] [ 2 -2 4 -2 -2 -1 -1 -2 1 -1 -2 0 -2 -1 0 1 1 2 1 -2 1 1] [-2 0 -2 4 0 -1 1 2 0 1 0 0 1 0 -1 -1 -1 -1 0 1 0 -1] [-1 2 -2 0 4 1 2 1 0 1 2 0 1 1 -1 -1 -1 -1 -1 1 -2 -1] [ 1 0 -1 -1 1 6 -2 2 1 -1 1 -2 1 2 -1 0 -2 -1 -1 1 -2 -2] [-1 2 -1 1 2 -2 6 2 0 0 0 0 0 0 0 -1 -1 0 0 0 -2 0] [-1 1 -2 2 1 2 2 6 0 -1 1 0 2 2 -1 -2 -3 -1 -1 1 -2 -1] [ 1 -1 1 0 0 1 0 0 4 1 -1 -2 0 1 -2 -1 -1 1 1 -1 1 0] [ 0 0 -1 1 1 -1 0 -1 1 4 0 0 0 0 -1 -1 1 1 1 -1 1 0] [-2 2 -2 0 2 1 0 1 -1 0 4 0 2 2 -1 0 -1 -2 -2 2 -2 0] [-1 0 0 0 0 -2 0 0 -2 0 0 4 -1 0 1 1 0 0 1 0 0 1] [-1 1 -2 1 1 1 0 2 0 0 2 -1 4 1 -1 -1 -1 -2 -2 1 0 0] [-1 1 -1 0 1 2 0 2 1 0 2 0 1 4 -2 0 -2 -1 -1 1 -1 0] [ 1 0 0 -1 -1 -1 0 -1 -2 -1 -1 1 -1 -2 4 0 1 0 1 0 0 1] [ 0 -1 1 -1 -1 0 -1 -2 -1 -1 0 1 -1 0 0 4 1 0 0 0 0 1] [ 1 0 1 -1 -1 -2 -1 -3 -1 1 -1 0 -1 -2 1 1 4 1 0 -1 2 1] [ 2 -2 2 -1 -1 -1 0 -1 1 1 -2 0 -2 -1 0 0 1 4 2 -2 2 1] [ 1 -2 1 0 -1 -1 0 -1 1 1 -2 1 -2 -1 1 0 0 2 4 -2 1 1] [-2 2 -2 1 1 1 0 1 -1 -1 2 0 1 1 0 0 -1 -2 -2 4 -1 -1] [ 1 -2 1 0 -2 -2 -2 -2 1 1 -2 0 0 -1 0 0 2 2 1 -1 6 1] [ 1 -1 1 -1 -1 -2 0 -1 0 0 0 1 0 0 1 1 1 1 1 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 849. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -2 -1 0 2 1 1 -1 0 0 -2 -1 1 1 0 -1 -1 -2] [-2 4 -2 2 -1 1 0 1 -1 0 0 0 0 -1 2 0 0 0 0 1 0 2] [ 2 -2 4 -2 0 -1 -1 0 1 0 0 1 -1 1 -2 0 0 1 -1 -1 -1 0] [-2 2 -2 4 0 2 1 1 -2 -1 -1 1 1 -1 1 1 0 0 1 1 0 2] [ 1 -1 0 0 4 1 1 -1 -1 1 1 -1 1 -1 1 0 -1 1 1 0 -1 0] [-2 1 -1 2 1 4 2 -1 -2 0 0 1 1 0 2 0 -1 0 1 0 0 1] [-1 0 -1 1 1 2 4 -2 0 1 1 1 2 1 0 1 -1 -1 2 1 1 -1] [ 0 1 0 1 -1 -1 -2 4 -1 0 0 1 0 0 -1 1 1 1 0 1 -1 2] [ 2 -1 1 -2 -1 -2 0 -1 4 1 1 -1 -1 0 -1 0 1 0 0 -1 0 -3] [ 1 0 0 -1 1 0 1 0 1 4 1 0 0 1 0 0 1 1 2 0 -1 0] [ 1 0 0 -1 1 0 1 0 1 1 4 -1 1 0 0 0 -1 1 1 0 -1 -2] [-1 0 1 1 -1 1 1 1 -1 0 -1 4 0 1 -2 1 0 0 0 1 0 2] [ 0 0 -1 1 1 1 2 0 -1 0 1 0 4 1 -1 1 -1 -1 1 1 1 -1] [ 0 -1 1 -1 -1 0 1 0 0 1 0 1 1 4 -2 1 0 -1 1 1 1 0] [-2 2 -2 1 1 2 0 -1 -1 0 0 -2 -1 -2 6 -1 0 1 0 -1 0 1] [-1 0 0 1 0 0 1 1 0 0 0 1 1 1 -1 4 -1 -1 1 1 1 1] [ 1 0 0 0 -1 -1 -1 1 1 1 -1 0 -1 0 0 -1 4 0 1 -1 0 0] [ 1 0 1 0 1 0 -1 1 0 1 1 0 -1 -1 1 -1 0 4 0 0 -2 1] [ 0 0 -1 1 1 1 2 0 0 2 1 0 1 1 0 1 1 0 4 0 0 0] [-1 1 -1 1 0 0 1 1 -1 0 0 1 1 1 -1 1 -1 0 0 4 1 1] [-1 0 -1 0 -1 0 1 -1 0 -1 -1 0 1 1 0 1 0 -2 0 1 4 -1] [-2 2 0 2 0 1 -1 2 -3 0 -2 2 -1 0 1 1 0 1 0 1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 850. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 1 -2 1 1 1 0 0 2 2 1 1 1 -1 0 -1 1 -1 0 2] [ 1 4 -1 0 -2 -1 2 -1 -1 -1 2 1 1 0 0 0 -1 -2 0 1 1 1] [ 0 -1 4 -1 -1 1 -1 2 2 2 0 0 -1 -1 1 -1 1 2 1 0 -1 1] [ 1 0 -1 4 0 1 0 0 -1 1 0 1 0 -1 1 1 1 0 1 1 1 0] [-2 -2 -1 0 6 -1 -1 -1 1 -1 -2 -3 1 1 -1 -1 -1 0 -1 1 1 -1] [ 1 -1 1 1 -1 4 -1 2 1 2 1 0 -1 0 1 0 2 1 1 0 -1 1] [ 1 2 -1 0 -1 -1 4 -2 -2 -1 1 2 2 0 0 0 -2 -2 1 0 0 1] [ 1 -1 2 0 -1 2 -2 4 1 2 1 -1 -1 0 0 0 1 1 1 0 0 1] [ 0 -1 2 -1 1 1 -2 1 4 0 0 -1 -1 1 1 -1 1 1 -1 0 -1 1] [ 0 -1 2 1 -1 2 -1 2 0 4 0 0 -1 -2 0 0 2 2 2 0 0 0] [ 2 2 0 0 -2 1 1 1 0 0 4 0 1 0 1 -1 0 -1 1 1 1 1] [ 2 1 0 1 -3 0 2 -1 -1 0 0 6 1 0 2 1 1 0 0 -1 -1 1] [ 1 1 -1 0 1 -1 2 -1 -1 -1 1 1 4 0 1 -1 -1 -2 1 1 1 1] [ 1 0 -1 -1 1 0 0 0 1 -2 0 0 0 4 -1 0 -1 -1 -2 -1 0 1] [ 1 0 1 1 -1 1 0 0 1 0 1 2 1 -1 4 -1 1 0 1 1 -1 1] [-1 0 -1 1 -1 0 0 0 -1 0 -1 1 -1 0 -1 4 1 0 -1 0 0 0] [ 0 -1 1 1 -1 2 -2 1 1 2 0 1 -1 -1 1 1 4 2 0 0 0 0] [-1 -2 2 0 0 1 -2 1 1 2 -1 0 -2 -1 0 0 2 4 0 0 0 -1] [ 1 0 1 1 -1 1 1 1 -1 2 1 0 1 -2 1 -1 0 0 4 0 0 1] [-1 1 0 1 1 0 0 0 0 0 1 -1 1 -1 1 0 0 0 0 4 2 0] [ 0 1 -1 1 1 -1 0 0 -1 0 1 -1 1 0 -1 0 0 0 0 2 4 -1] [ 2 1 1 0 -1 1 1 1 1 0 1 1 1 1 1 0 0 -1 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 851. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 2 0 1 -1 -1 0 2 1 0 -2 -2 0 1 1 0 -1 0 -1 1] [-2 4 1 -1 0 -1 1 1 1 -1 -1 -1 1 0 1 -1 0 0 1 0 1 1] [-1 1 4 -2 0 1 2 1 0 -1 -2 0 -1 0 0 1 1 1 0 -1 0 -1] [ 2 -1 -2 6 -2 0 0 1 -1 3 0 0 0 -1 -1 0 0 -1 -1 1 -1 1] [ 0 0 0 -2 4 1 0 0 2 -1 0 0 0 0 2 1 1 -1 1 1 -1 0] [ 1 -1 1 0 1 4 0 1 0 0 0 -1 -2 -1 0 1 2 1 0 -1 -2 1] [-1 1 2 0 0 0 4 2 -1 0 -2 1 0 0 0 0 0 -1 -1 1 0 -1] [-1 1 1 1 0 1 2 4 0 1 -1 0 0 1 -1 1 0 0 -1 0 -1 0] [ 0 1 0 -1 2 0 -1 0 4 0 1 0 0 -1 1 0 0 0 0 0 -1 0] [ 2 -1 -1 3 -1 0 0 1 0 4 0 1 0 -1 -1 1 -1 0 -1 0 -1 0] [ 1 -1 -2 0 0 0 -2 -1 1 0 4 -1 0 -1 0 -1 -1 1 -1 -1 0 1] [ 0 -1 0 0 0 -1 1 0 0 1 -1 4 1 1 0 1 -1 0 0 1 0 -2] [-2 1 -1 0 0 -2 0 0 0 0 0 1 4 2 1 0 -2 0 1 0 1 -1] [-2 0 0 -1 0 -1 0 1 -1 -1 -1 1 2 4 0 1 -1 0 1 0 1 -1] [ 0 1 0 -1 2 0 0 -1 1 -1 0 0 1 0 4 1 0 -1 2 1 1 1] [ 1 -1 1 0 1 1 0 1 0 1 -1 1 0 1 1 4 0 0 1 0 0 0] [ 1 0 1 0 1 2 0 0 0 -1 -1 -1 -2 -1 0 0 4 0 0 0 -1 1] [ 0 0 1 -1 -1 1 -1 0 0 0 1 0 0 0 -1 0 0 4 0 -2 0 0] [-1 1 0 -1 1 0 -1 -1 0 -1 -1 0 1 1 2 1 0 0 4 0 1 1] [ 0 0 -1 1 1 -1 1 0 0 0 -1 1 0 0 1 0 0 -2 0 4 1 0] [-1 1 0 -1 -1 -2 0 -1 -1 -1 0 0 1 1 1 0 -1 0 1 1 4 0] [ 1 1 -1 1 0 1 -1 0 0 0 1 -2 -1 -1 1 0 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 852. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 -2 1 0 0 -2 -1 0 -2 -1 1 2 2 0 1 -1 0 0] [-2 4 2 -1 2 2 -2 1 1 2 2 0 2 1 1 -2 -1 1 -2 0 0 0] [-2 2 4 0 1 1 0 0 0 2 1 -1 1 0 1 -1 -2 0 -2 0 0 1] [ 1 -1 0 4 -2 -1 2 -2 1 0 -2 1 0 0 1 0 -1 -2 0 -2 0 2] [-1 2 1 -2 4 1 -1 1 1 1 1 0 1 1 -1 0 0 1 0 1 -1 0] [-2 2 1 -1 1 4 -2 1 0 1 2 1 2 1 0 -2 -1 1 -1 0 1 -1] [ 1 -2 0 2 -1 -2 4 -1 0 -1 -2 -1 -1 0 -1 1 0 -1 1 -1 -1 1] [ 0 1 0 -2 1 1 -1 4 -1 0 1 0 0 0 1 -1 0 2 -1 0 1 -2] [ 0 1 0 1 1 0 0 -1 4 0 0 0 2 1 -1 0 0 0 0 -1 0 1] [-2 2 2 0 1 1 -1 0 0 4 0 0 1 0 1 -1 -2 0 -2 0 -1 1] [-1 2 1 -2 1 2 -2 1 0 0 4 -1 1 0 1 -1 0 1 -1 1 0 -1] [ 0 0 -1 1 0 1 -1 0 0 0 -1 4 1 1 0 0 -1 0 1 -1 1 0] [-2 2 1 0 1 2 -1 0 2 1 1 1 4 2 0 -2 -2 0 0 0 1 0] [-1 1 0 0 1 1 0 0 1 0 0 1 2 4 0 -1 0 1 1 -1 1 1] [ 1 1 1 1 -1 0 -1 1 -1 1 1 0 0 0 6 -1 -1 -1 -2 -1 1 1] [ 2 -2 -1 0 0 -2 1 -1 0 -1 -1 0 -2 -1 -1 4 2 0 1 0 -1 1] [ 2 -1 -2 -1 0 -1 0 0 0 -2 0 -1 -2 0 -1 2 4 1 1 0 0 0] [ 0 1 0 -2 1 1 -1 2 0 0 1 0 0 1 -1 0 1 4 0 0 1 -1] [ 1 -2 -2 0 0 -1 1 -1 0 -2 -1 1 0 1 -2 1 1 0 4 0 0 0] [-1 0 0 -2 1 0 -1 0 -1 0 1 -1 0 -1 -1 0 0 0 0 4 0 -1] [ 0 0 0 0 -1 1 -1 1 0 -1 0 1 1 1 1 -1 0 1 0 0 4 -1] [ 0 0 1 2 0 -1 1 -2 1 1 -1 0 0 1 1 1 0 -1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 853. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 1 1 -1 0 -1 0 -1 -1 -1 0 0 0 0 0 0 0] [-2 4 -2 2 1 1 0 -1 0 -1 0 0 -1 0 1 -1 1 -1 0 1 -1 1] [ 2 -2 4 -1 -1 0 1 0 1 1 0 1 1 1 -2 1 -1 1 1 -1 1 1] [-2 2 -1 4 1 0 -1 0 0 0 0 -1 -1 0 1 -1 1 0 1 0 0 1] [ 1 1 -1 1 4 -1 1 1 -2 -1 -1 0 -1 -2 0 0 0 -1 1 1 -1 1] [-1 1 0 0 -1 4 0 -2 2 -1 0 0 -1 0 -1 -1 1 -1 0 1 1 1] [ 1 0 1 -1 1 0 4 -1 0 -1 0 1 1 0 -1 0 -2 0 1 0 -1 1] [ 1 -1 0 0 1 -2 -1 4 -1 0 0 -1 1 -1 0 0 1 1 1 -1 0 -1] [-1 0 1 0 -2 2 0 -1 4 1 0 0 1 0 0 0 0 1 0 -1 0 1] [ 0 -1 1 0 -1 -1 -1 0 1 4 -1 1 0 1 1 2 -1 2 -1 -2 -1 1] [-1 0 0 0 -1 0 0 0 0 -1 4 1 0 1 0 0 -1 1 0 -1 1 -1] [ 0 0 1 -1 0 0 1 -1 0 1 1 4 0 1 -1 2 -2 0 -1 -1 0 1] [-1 -1 1 -1 -1 -1 1 1 1 0 0 0 6 0 0 1 -1 0 2 0 0 0] [-1 0 1 0 -2 0 0 -1 0 1 1 1 0 4 -1 1 -1 1 -1 -1 1 0] [-1 1 -2 1 0 -1 -1 0 0 1 0 -1 0 -1 4 -1 0 0 0 0 -2 0] [ 0 -1 1 -1 0 -1 0 0 0 2 0 2 1 1 -1 4 -1 1 -1 -1 0 1] [ 0 1 -1 1 0 1 -2 1 0 -1 -1 -2 -1 -1 0 -1 4 -1 0 1 1 0] [ 0 -1 1 0 -1 -1 0 1 1 2 1 0 0 1 0 1 -1 4 0 -2 0 0] [ 0 0 1 1 1 0 1 1 0 -1 0 -1 2 -1 0 -1 0 0 4 0 0 1] [ 0 1 -1 0 1 1 0 -1 -1 -2 -1 -1 0 -1 0 -1 1 -2 0 4 1 0] [ 0 -1 1 0 -1 1 -1 0 0 -1 1 0 0 1 -2 0 1 0 0 1 4 -1] [ 0 1 1 1 1 1 1 -1 1 1 -1 1 0 0 0 1 0 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 854. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 1 2 -2 -1 -2 1 1 -1 -1 0 -1 -1 1 -1 1 0 -1 -1 1] [ 0 4 2 -1 -1 1 2 1 2 2 -2 -1 0 1 2 2 0 1 1 -2 -1 0] [-2 2 6 -2 -2 2 1 3 1 0 -1 2 2 0 2 2 -1 -1 -1 -2 1 -2] [ 1 -1 -2 4 0 0 0 0 0 0 -1 0 -1 1 0 1 1 1 1 1 -1 0] [ 2 -1 -2 0 4 -2 -1 -2 0 1 1 -1 -1 -2 -1 0 -1 0 -1 0 0 1] [-2 1 2 0 -2 4 2 2 -1 -1 0 1 0 2 1 1 0 0 1 1 0 -2] [-1 2 1 0 -1 2 4 1 1 1 0 -1 0 1 2 2 0 0 2 -1 0 -1] [-2 1 3 0 -2 2 1 4 1 0 -1 1 1 1 1 1 0 0 0 -1 0 -1] [ 1 2 1 0 0 -1 1 1 4 2 -2 -1 1 0 1 1 -1 1 1 -3 -1 1] [ 1 2 0 0 1 -1 1 0 2 4 -1 -1 0 0 1 2 -1 0 0 -1 0 0] [-1 -2 -1 -1 1 0 0 -1 -2 -1 4 0 -1 -1 -1 -2 0 -2 0 2 2 -1] [-1 -1 2 0 -1 1 -1 1 -1 -1 0 4 1 1 0 1 0 0 -1 0 0 -1] [ 0 0 2 -1 -1 0 0 1 1 0 -1 1 4 -1 1 1 -2 0 -1 -1 0 0] [-1 1 0 1 -2 2 1 1 0 0 -1 1 -1 4 0 0 1 1 2 0 -1 -1] [-1 2 2 0 -1 1 2 1 1 1 -1 0 1 0 4 2 0 1 0 -1 0 0] [ 1 2 2 1 0 1 2 1 1 2 -2 1 1 0 2 6 -1 1 0 -2 -1 -1] [-1 0 -1 1 -1 0 0 0 -1 -1 0 0 -2 1 0 -1 4 1 1 0 -1 1] [ 1 1 -1 1 0 0 0 0 1 0 -2 0 0 1 1 1 1 4 1 -1 -2 2] [ 0 1 -1 1 -1 1 2 0 1 0 0 -1 -1 2 0 0 1 1 4 -1 -1 0] [-1 -2 -2 1 0 1 -1 -1 -3 -1 2 0 -1 0 -1 -2 0 -1 -1 6 2 -1] [-1 -1 1 -1 0 0 0 0 -1 0 2 0 0 -1 0 -1 -1 -2 -1 2 4 -2] [ 1 0 -2 0 1 -2 -1 -1 1 0 -1 -1 0 -1 0 -1 1 2 0 -1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 855. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 -1 -1 1 -2 0 1 -1 -2 1 -1 1 -1 1 1 0 0] [-2 4 -2 2 1 1 1 2 -2 0 0 -1 0 2 -2 0 0 0 -2 0 1 1] [ 2 -2 4 -2 -1 -2 -1 -1 0 -1 1 1 0 -2 1 1 1 1 1 -1 -1 0] [-2 2 -2 4 1 2 2 2 -2 0 0 -1 0 2 -2 0 0 -1 -2 1 0 1] [ 0 1 -1 1 4 -1 2 2 -2 1 1 -2 -2 0 -1 0 -1 1 -1 -1 0 2] [-1 1 -2 2 -1 4 1 0 0 -1 -1 0 1 2 0 -1 1 -1 -1 1 1 0] [-1 1 -1 2 2 1 4 1 -1 0 0 -2 0 1 -1 0 0 1 -1 -1 0 2] [-1 2 -1 2 2 0 1 4 -2 1 1 -1 -1 1 -2 0 0 1 -1 -1 0 1] [ 1 -2 0 -2 -2 0 -1 -2 6 1 -1 1 2 -2 1 -2 -1 -2 3 2 -1 -1] [-2 0 -1 0 1 -1 0 1 1 6 2 -1 1 0 1 1 -3 1 1 -1 0 0] [ 0 0 1 0 1 -1 0 1 -1 2 4 0 0 -1 0 0 0 2 0 -2 -1 1] [ 1 -1 1 -1 -2 0 -2 -1 1 -1 0 4 1 -1 0 -1 2 0 0 0 -1 0] [-1 0 0 0 -2 1 0 -1 2 1 0 1 4 0 0 0 0 -1 0 0 0 0] [-2 2 -2 2 0 2 1 1 -2 0 -1 -1 0 4 -1 1 0 0 -2 0 2 0] [ 1 -2 1 -2 -1 0 -1 -2 1 1 0 0 0 -1 4 0 -1 0 2 0 0 -1] [-1 0 1 0 0 -1 0 0 -2 1 0 -1 0 1 0 4 0 1 -1 -1 1 0] [ 1 0 1 0 -1 1 0 0 -1 -3 0 2 0 0 -1 0 4 1 -1 -1 0 1] [-1 0 1 -1 1 -1 1 1 -2 1 2 0 -1 0 0 1 1 6 0 -4 0 1] [ 1 -2 1 -2 -1 -1 -1 -1 3 1 0 0 0 -2 2 -1 -1 0 4 0 -1 -1] [ 1 0 -1 1 -1 1 -1 -1 2 -1 -2 0 0 0 0 -1 -1 -4 0 6 1 -1] [ 0 1 -1 0 0 1 0 0 -1 0 -1 -1 0 2 0 1 0 0 -1 1 4 -1] [ 0 1 0 1 2 0 2 1 -1 0 1 0 0 0 -1 0 1 1 -1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 856. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 1 1 2 0 -2 0 -1 -1 1 1 0 0 -2 -2 -2 -1 1] [-2 4 -2 -1 1 -2 -1 -2 0 0 -1 1 0 1 0 0 -1 0 1 0 0 1] [ 2 -2 4 0 -1 2 2 2 -1 -1 1 0 -1 1 0 1 0 -2 -2 -2 0 0] [-1 -1 0 6 -3 -2 0 1 -2 2 1 -1 1 -1 0 0 -2 3 1 -1 0 -1] [ 1 1 -1 -3 6 -1 -2 -1 0 0 0 1 1 -1 -1 -2 0 0 0 -1 1 0] [ 1 -2 2 -2 -1 6 1 2 0 -1 0 0 0 0 0 2 3 -1 -1 0 0 -1] [ 1 -1 2 0 -2 1 4 1 1 -2 -1 0 -2 2 0 2 0 -1 -1 -1 0 0] [ 2 -2 2 1 -1 2 1 4 0 -1 0 0 0 0 0 1 0 0 -2 -2 -1 0] [ 0 0 -1 -2 0 0 1 0 4 -1 -1 1 -1 0 0 0 1 -1 -1 2 -1 1] [-2 0 -1 2 0 -1 -2 -1 -1 4 2 0 2 -2 -1 -1 0 2 1 1 1 -1] [ 0 -1 1 1 0 0 -1 0 -1 2 4 -1 1 -1 0 -1 1 -1 0 1 1 0] [-1 1 0 -1 1 0 0 0 1 0 -1 4 1 0 -2 0 0 0 0 0 1 -1] [-1 0 -1 1 1 0 -2 0 -1 2 1 1 4 -1 -2 0 0 2 1 0 1 -2] [ 1 1 1 -1 -1 0 2 0 0 -2 -1 0 -1 4 0 1 -1 -2 0 -1 -1 1] [ 1 0 0 0 -1 0 0 0 0 -1 0 -2 -2 0 4 0 0 -2 -1 0 -1 2] [ 0 0 1 0 -2 2 2 1 0 -1 -1 0 0 1 0 4 1 0 -1 -1 0 0] [ 0 -1 0 -2 0 3 0 0 1 0 1 0 0 -1 0 1 4 -1 0 2 1 0] [-2 0 -2 3 0 -1 -1 0 -1 2 -1 0 2 -2 -2 0 -1 6 2 0 1 -2] [-2 1 -2 1 0 -1 -1 -2 -1 1 0 0 1 0 -1 -1 0 2 4 1 1 -1] [-2 0 -2 -1 -1 0 -1 -2 2 1 1 0 0 -1 0 -1 2 0 1 6 1 0] [-1 0 0 0 1 0 0 -1 -1 1 1 1 1 -1 -1 0 1 1 1 1 4 -2] [ 1 1 0 -1 0 -1 0 0 1 -1 0 -1 -2 1 2 0 0 -2 -1 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 857. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 -1 -1 1 2 2 1 1 -2 0 1 0 -2 1 0 1 1 0 2] [ 1 4 0 2 0 -2 2 0 1 2 2 -2 1 -1 1 -1 1 0 0 0 0 1] [-2 0 4 -2 0 1 -1 -2 -2 -1 -1 0 -1 0 -1 1 0 -1 0 0 -1 -1] [ 2 2 -2 6 -2 -3 0 3 2 2 0 0 2 1 -1 0 1 1 0 -1 1 2] [-1 0 0 -2 4 0 0 -1 -1 0 2 -1 0 0 1 0 0 0 1 -1 -1 0] [-1 -2 1 -3 0 4 0 -1 -1 -2 -2 0 -2 0 -1 0 -1 -1 -1 1 -1 -1] [ 1 2 -1 0 0 0 4 0 1 0 1 -1 0 -1 2 -1 1 -1 0 1 1 1] [ 2 0 -2 3 -1 -1 0 4 2 0 -1 0 0 2 -1 0 0 0 1 0 0 2] [ 2 1 -2 2 -1 -1 1 2 4 1 0 0 0 0 1 -1 1 1 0 1 0 1] [ 1 2 -1 2 0 -2 0 0 1 4 1 0 2 0 0 0 0 2 -1 0 0 1] [ 1 2 -1 0 2 -2 1 -1 0 1 6 -3 0 -1 2 -2 1 -1 1 -1 0 0] [-2 -2 0 0 -1 0 -1 0 0 0 -3 6 2 0 0 2 0 1 -1 -1 2 0] [ 0 1 -1 2 0 -2 0 0 0 2 0 2 4 -1 0 0 0 1 0 -1 2 1] [ 1 -1 0 1 0 0 -1 2 0 0 -1 0 -1 4 -1 1 0 0 1 0 -1 2] [ 0 1 -1 -1 1 -1 2 -1 1 0 2 0 0 -1 4 -1 1 0 0 0 1 0] [-2 -1 1 0 0 0 -1 0 -1 0 -2 2 0 1 -1 4 0 1 -1 0 0 0] [ 1 1 0 1 0 -1 1 0 1 0 1 0 0 0 1 0 4 -1 1 -1 1 1] [ 0 0 -1 1 0 -1 -1 0 1 2 -1 1 1 0 0 1 -1 4 -1 1 0 0] [ 1 0 0 0 1 -1 0 1 0 -1 1 -1 0 1 0 -1 1 -1 4 -1 0 1] [ 1 0 0 -1 -1 1 1 0 1 0 -1 -1 -1 0 0 0 -1 1 -1 4 0 0] [ 0 0 -1 1 -1 -1 1 0 0 0 0 2 2 -1 1 0 1 0 0 0 4 0] [ 2 1 -1 2 0 -1 1 2 1 1 0 0 1 2 0 0 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 858. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 0 2 1 2 0 1 -1 0 2 0 -1 1 1 1 0 -1 1 2 -1] [ 1 4 0 0 -1 1 -1 1 -1 -2 0 1 0 0 2 -1 -1 -1 0 0 1 -1] [ 0 0 4 -2 1 1 0 0 -1 -1 -1 2 0 0 -1 2 -1 2 1 0 2 -1] [ 0 0 -2 4 1 -2 0 1 0 1 2 -2 1 1 2 -2 0 -2 -2 -1 -2 0] [ 2 -1 1 1 6 -1 2 1 1 1 2 2 2 0 2 0 2 0 -2 0 2 0] [ 1 1 1 -2 -1 4 -1 0 -1 -1 -1 1 0 0 -1 0 -1 0 0 1 1 -1] [ 2 -1 0 0 2 -1 4 0 2 1 0 1 -1 0 0 2 2 0 -1 1 1 0] [ 0 1 0 1 1 0 0 4 -1 1 2 -1 1 2 0 -2 -1 -1 -1 1 -1 1] [ 1 -1 -1 0 1 -1 2 -1 4 1 0 1 -1 0 1 2 1 0 0 1 1 0] [-1 -2 -1 1 1 -1 1 1 1 4 2 -2 0 2 -1 0 1 -1 -1 1 -2 1] [ 0 0 -1 2 2 -1 0 2 0 2 4 -1 2 2 1 -1 0 -1 -1 1 -1 0] [ 2 1 2 -2 2 1 1 -1 1 -2 -1 6 -1 -1 0 2 1 2 1 1 3 -2] [ 0 0 0 1 2 0 -1 1 -1 0 2 -1 4 0 2 -2 0 0 -1 0 1 1] [-1 0 0 1 0 0 0 2 0 2 2 -1 0 4 -1 0 -1 -1 -1 1 -1 0] [ 1 2 -1 2 2 -1 0 0 1 -1 1 0 2 -1 6 -2 0 -2 -1 -1 1 0] [ 1 -1 2 -2 0 0 2 -2 2 0 -1 2 -2 0 -2 6 1 2 1 1 2 -1] [ 1 -1 -1 0 2 -1 2 -1 1 1 0 1 0 -1 0 1 4 0 -1 0 1 1] [ 0 -1 2 -2 0 0 0 -1 0 -1 -1 2 0 -1 -2 2 0 4 2 1 2 0] [-1 0 1 -2 -2 0 -1 -1 0 -1 -1 1 -1 -1 -1 1 -1 2 4 0 0 0] [ 1 0 0 -1 0 1 1 1 1 1 1 1 0 1 -1 1 0 1 0 4 1 0] [ 2 1 2 -2 2 1 1 -1 1 -2 -1 3 1 -1 1 2 1 2 0 1 6 -1] [-1 -1 -1 0 0 -1 0 1 0 1 0 -2 1 0 0 -1 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 859. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 1 0 1 0 1 -1 -1 -1 -1 -2 1 1 1 0 1 -1 -1 -1 -2] [ 0 6 0 3 2 -1 2 0 -2 2 -2 0 1 2 1 -2 -1 -1 -2 -1 -2 -3] [-2 0 6 -3 2 -2 0 -2 2 -1 0 3 1 -1 -2 -2 1 -2 -1 -2 1 1] [ 1 3 -3 6 -1 1 0 1 -1 2 0 -3 1 2 1 1 -2 1 -1 1 -2 -2] [ 0 2 2 -1 4 -1 2 0 0 -1 -2 2 0 0 -1 -2 1 0 -2 -2 0 -1] [ 1 -1 -2 1 -1 4 -1 2 0 0 1 0 -1 1 1 1 1 2 1 2 -1 1] [ 0 2 0 0 2 -1 4 -1 0 1 -1 1 0 0 -1 -2 -1 0 -1 0 0 -2] [ 1 0 -2 1 0 2 -1 4 0 0 0 -1 -1 0 2 0 0 2 1 1 0 1] [-1 -2 2 -1 0 0 0 0 4 -1 1 0 0 -1 -1 0 -1 1 1 0 1 1] [-1 2 -1 2 -1 0 1 0 -1 4 1 -1 1 1 0 -1 -1 -1 0 1 -1 -1] [-1 -2 0 0 -2 1 -1 0 1 1 4 -1 1 0 0 0 -1 0 1 1 0 1] [-1 0 3 -3 2 0 1 -1 0 -1 -1 6 -1 0 -2 -2 3 0 0 1 0 2] [-2 1 1 1 0 -1 0 -1 0 1 1 -1 4 -1 0 -1 -1 -1 -1 -1 0 0] [ 1 2 -1 2 0 1 0 0 -1 1 0 0 -1 4 0 0 0 0 -1 0 -2 -1] [ 1 1 -2 1 -1 1 -1 2 -1 0 0 -2 0 0 4 0 -1 0 1 0 0 -1] [ 1 -2 -2 1 -2 1 -2 0 0 -1 0 -2 -1 0 0 4 0 1 1 1 0 0] [ 0 -1 1 -2 1 1 -1 0 -1 -1 -1 3 -1 0 -1 0 4 0 0 0 0 2] [ 1 -1 -2 1 0 2 0 2 1 -1 0 0 -1 0 0 1 0 4 1 2 0 1] [-1 -2 -1 -1 -2 1 -1 1 1 0 1 0 -1 -1 1 1 0 1 4 2 1 2] [-1 -1 -2 1 -2 2 0 1 0 1 1 1 -1 0 0 1 0 2 2 6 1 2] [-1 -2 1 -2 0 -1 0 0 1 -1 0 0 0 -2 0 0 0 0 1 1 4 1] [-2 -3 1 -2 -1 1 -2 1 1 -1 1 2 0 -1 -1 0 2 1 2 2 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 860. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -2 1 -1 1 1 2 0 -1 0 0 -1 0 0 1 -1 0 -1 -1 1] [-1 4 2 -1 -1 1 1 -1 -1 0 0 -1 -1 0 -1 -1 -2 2 0 0 0 1] [-2 2 4 0 -1 0 0 -1 -1 -1 0 0 0 1 0 0 -1 2 -1 0 1 1] [-2 -1 0 4 0 1 0 0 0 0 0 1 0 0 0 1 0 -1 1 0 0 -2] [ 1 -1 -1 0 4 -1 -1 2 1 1 1 2 1 1 -1 1 0 -2 1 1 -1 -1] [-1 1 0 1 -1 4 0 0 0 1 0 -1 -2 0 -1 1 -2 0 1 0 1 0] [ 1 1 0 0 -1 0 4 -1 1 -1 0 0 -1 -2 -1 0 1 1 1 0 0 0] [ 1 -1 -1 0 2 0 -1 4 2 0 -1 1 1 1 0 2 -1 -2 1 -1 0 -1] [ 2 -1 -1 0 1 0 1 2 4 0 -1 0 1 0 -1 2 0 -1 0 -1 -1 0] [ 0 0 -1 0 1 1 -1 0 0 4 0 -1 0 1 -1 0 0 0 1 0 0 0] [-1 0 0 0 1 0 0 -1 -1 0 4 0 0 -1 0 0 0 0 0 2 0 0] [ 0 -1 0 1 2 -1 0 1 0 -1 0 4 1 0 -1 0 1 -1 1 0 -1 -2] [ 0 -1 0 0 1 -2 -1 1 1 0 0 1 4 0 1 0 1 -1 0 0 -1 0] [-1 0 1 0 1 0 -2 1 0 1 -1 0 0 4 -1 1 -1 0 -1 0 1 0] [ 0 -1 0 0 -1 -1 -1 0 -1 -1 0 -1 1 -1 4 -1 0 -1 0 0 0 1] [ 0 -1 0 1 1 1 0 2 2 0 0 0 0 1 -1 4 0 -1 0 0 1 0] [ 1 -2 -1 0 0 -2 1 -1 0 0 0 1 1 -1 0 0 4 0 0 0 0 0] [-1 2 2 -1 -2 0 1 -2 -1 0 0 -1 -1 0 -1 -1 0 4 -1 0 1 1] [ 0 0 -1 1 1 1 1 1 0 1 0 1 0 -1 0 0 0 -1 4 0 0 -1] [-1 0 0 0 1 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 4 1 0] [-1 0 1 0 -1 1 0 0 -1 0 0 -1 -1 1 0 1 0 1 0 1 4 0] [ 1 1 1 -2 -1 0 0 -1 0 0 0 -2 0 0 1 0 0 1 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 861. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 1 0 -1 -2 1 1 2 1 1 0 -2 2 -2 0 0] [-2 4 -2 2 1 -1 1 -1 -1 0 1 1 -2 -2 -1 0 -1 2 -2 1 1 1] [ 2 -2 4 -2 -1 0 -1 0 1 0 -1 0 2 2 1 1 1 -2 2 0 0 0] [-2 2 -2 4 1 0 2 -1 0 1 2 0 -1 -1 -1 0 -1 1 -2 0 0 1] [ 0 1 -1 1 4 -1 2 1 -2 -1 -1 -1 0 -1 1 1 -2 2 1 -2 1 2] [ 1 -1 0 0 -1 4 0 0 0 -1 0 0 1 0 0 1 0 -2 -1 -1 -1 0] [-1 1 -1 2 2 0 4 1 0 -1 1 0 1 -2 1 0 -2 2 -1 0 0 2] [ 1 -1 0 -1 1 0 1 4 0 -1 -1 0 1 1 2 -1 0 1 2 -2 -1 1] [ 0 -1 1 0 -2 0 0 0 4 0 0 0 1 0 -1 0 0 0 -1 2 -1 0] [-1 0 0 1 -1 -1 -1 -1 0 4 1 -1 0 2 0 -1 2 0 -1 1 -1 -1] [-2 1 -1 2 -1 0 1 -1 0 1 4 0 -1 0 -1 -1 1 0 -1 1 0 0] [ 1 1 0 0 -1 0 0 0 0 -1 0 4 -1 0 0 -1 0 -1 0 0 1 0] [ 1 -2 2 -1 0 1 1 1 1 0 -1 -1 4 0 1 0 0 -1 1 0 -1 0] [ 2 -2 2 -1 -1 0 -2 1 0 2 0 0 0 6 1 0 3 -1 2 -1 0 0] [ 1 -1 1 -1 1 0 1 2 -1 0 -1 0 1 1 4 0 0 1 1 -1 0 1] [ 1 0 1 0 1 1 0 -1 0 -1 -1 -1 0 0 0 4 -1 0 -1 0 0 1] [ 0 -1 1 -1 -2 0 -2 0 0 2 1 0 0 3 0 -1 4 -1 1 1 0 -1] [-2 2 -2 1 2 -2 2 1 0 0 0 -1 -1 -1 1 0 -1 6 -1 2 1 1] [ 2 -2 2 -2 1 -1 -1 2 -1 -1 -1 0 1 2 1 -1 1 -1 6 -3 1 0] [-2 1 0 0 -2 -1 0 -2 2 1 1 0 0 -1 -1 0 1 2 -3 6 1 -1] [ 0 1 0 0 1 -1 0 -1 -1 -1 0 1 -1 0 0 0 0 1 1 1 4 0] [ 0 1 0 1 2 0 2 1 0 -1 0 0 0 0 1 1 -1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 862. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 1 -1 1 -1 1 1 0 1 -1 -2 1 1 -1 0 1 2] [ 1 4 1 2 1 1 -1 0 1 1 2 1 -1 1 0 0 1 1 -1 0 0 1] [-1 1 4 -1 -2 2 -2 -1 -1 -1 2 -1 1 -1 0 2 0 -1 -1 -1 -1 -1] [ 1 2 -1 4 2 -1 0 0 0 0 0 1 0 0 1 -1 0 0 0 0 0 1] [ 2 1 -2 2 4 -2 0 0 0 0 0 2 0 0 -1 -2 0 0 0 0 0 2] [-1 1 2 -1 -2 4 0 1 0 1 1 -1 -1 0 1 1 1 1 0 1 0 0] [ 1 -1 -2 0 0 0 4 1 1 1 -2 -1 -1 1 0 -2 0 2 1 1 1 1] [-1 0 -1 0 0 1 1 4 0 1 0 1 -2 1 1 0 -1 1 2 2 0 0] [ 1 1 -1 0 0 0 1 0 4 1 -1 0 -1 2 0 -1 2 2 0 0 0 1] [-1 1 -1 0 0 1 1 1 1 6 -2 0 -1 2 -1 0 -1 2 -1 2 -1 1] [ 1 2 2 0 0 1 -2 0 -1 -2 6 0 0 0 0 1 1 0 0 -1 1 0] [ 1 1 -1 1 2 -1 -1 1 0 0 0 4 0 0 -1 -1 0 0 0 0 -1 0] [ 0 -1 1 0 0 -1 -1 -2 -1 -1 0 0 4 -2 0 0 0 -2 0 -1 -1 0] [ 1 1 -1 0 0 0 1 1 2 2 0 0 -2 4 -1 0 0 2 -1 1 1 1] [-1 0 0 1 -1 1 0 1 0 -1 0 -1 0 -1 4 0 0 -1 2 1 0 0] [-2 0 2 -1 -2 1 -2 0 -1 0 1 -1 0 0 0 4 0 -1 -1 0 0 -1] [ 1 1 0 0 0 1 0 -1 2 -1 1 0 0 0 0 0 4 1 0 -1 1 1] [ 1 1 -1 0 0 1 2 1 2 2 0 0 -2 2 -1 -1 1 4 0 1 1 1] [-1 -1 -1 0 0 0 1 2 0 -1 0 0 0 -1 2 -1 0 0 4 0 0 0] [ 0 0 -1 0 0 1 1 2 0 2 -1 0 -1 1 1 0 -1 1 0 4 1 1] [ 1 0 -1 0 0 0 1 0 0 -1 1 -1 -1 1 0 0 1 1 0 1 4 0] [ 2 1 -1 1 2 0 1 0 1 1 0 0 0 1 0 -1 1 1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 863. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 -1 2 1 0 2 -1 2 -1 -1 0 -1 -1 0 -1 0 1 -2 -2] [-1 4 1 0 2 -2 -1 1 -2 1 0 0 -1 -1 2 1 0 -1 1 -2 0 0] [ 2 1 4 -1 0 0 1 0 0 0 1 -1 0 -1 -1 -1 1 -2 1 0 0 0] [ 0 0 -1 4 -1 1 -2 1 1 1 -1 1 -2 -1 0 2 -2 2 -1 1 1 1] [-1 2 0 -1 4 -2 0 0 -2 1 1 -1 1 0 1 1 0 0 0 -2 1 -1] [ 2 -2 0 1 -2 4 1 -1 2 -1 0 0 -1 1 -2 -1 -1 0 -1 2 -1 -1] [ 1 -1 1 -2 0 1 4 0 0 0 1 -1 0 0 -1 -1 0 -2 -1 0 0 0] [ 0 1 0 1 0 -1 0 4 -1 2 -1 1 -2 -1 2 1 -1 -1 0 -1 0 1] [ 2 -2 0 1 -2 2 0 -1 4 -2 0 0 -1 1 -2 -1 -1 0 -1 2 -1 -1] [-1 1 0 1 1 -1 0 2 -2 4 0 0 -1 -2 1 2 -1 0 -1 -1 2 2] [ 2 0 1 -1 1 0 1 -1 0 0 4 -2 1 0 0 0 1 0 0 0 -1 -2] [-1 0 -1 1 -1 0 -1 1 0 0 -2 4 -2 0 1 1 0 -1 1 -1 1 0] [-1 -1 0 -2 1 -1 0 -2 -1 -1 1 -2 6 2 -1 -2 2 2 1 1 1 -1] [ 0 -1 -1 -1 0 1 0 -1 1 -2 0 0 2 4 -1 -2 1 0 1 1 -1 -2] [-1 2 -1 0 1 -2 -1 2 -2 1 0 1 -1 -1 4 1 0 0 1 -2 -1 0] [-1 1 -1 2 1 -1 -1 1 -1 2 0 1 -2 -2 1 4 -1 1 -1 -1 2 1] [ 0 0 1 -2 0 -1 0 -1 -1 -1 1 0 2 1 0 -1 4 0 2 0 -1 0] [-1 -1 -2 2 0 0 -2 -1 0 0 0 -1 2 0 0 1 0 6 0 2 0 0] [ 0 1 1 -1 0 -1 -1 0 -1 -1 0 1 1 1 1 -1 2 0 4 -1 -1 -1] [ 1 -2 0 1 -2 2 0 -1 2 -1 0 -1 1 1 -2 -1 0 2 -1 4 0 0] [-2 0 0 1 1 -1 0 0 -1 2 -1 1 1 -1 -1 2 -1 0 -1 0 6 1] [-2 0 0 1 -1 -1 0 1 -1 2 -2 0 -1 -2 0 1 0 0 -1 0 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 864. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 -1 1 1 -1 1 1 2 1 -1 1 0 1 1 -1 -1 1] [ 1 4 -1 -2 2 1 0 0 0 0 1 0 1 0 -2 2 -1 2 0 -2 1 2] [-1 -1 4 0 0 0 -1 1 -2 -1 -1 1 0 1 0 0 -1 0 1 0 0 0] [-1 -2 0 4 -2 -1 -1 0 1 1 0 0 -1 1 1 -1 1 0 0 0 -1 -1] [ 1 2 0 -2 4 2 -1 0 0 -1 0 -1 1 -1 0 2 0 1 -1 -1 1 0] [ 2 1 0 -1 2 4 -2 0 0 -2 0 1 2 1 0 1 0 2 1 -2 -1 0] [-1 0 -1 -1 -1 -2 6 -2 1 1 1 -1 0 -3 0 0 -2 -3 -2 3 0 2] [ 1 0 1 0 0 0 -2 4 0 -1 -1 1 1 1 -1 1 1 2 2 -2 0 -1] [ 1 0 -2 1 0 0 1 0 4 0 0 0 1 -1 0 1 1 0 -1 0 -1 1] [-1 0 -1 1 -1 -2 1 -1 0 4 0 -1 -2 0 -1 -1 1 -2 -1 2 0 -1] [ 1 1 -1 0 0 0 1 -1 0 0 4 0 0 0 -1 0 -1 -1 -1 0 0 2] [ 1 0 1 0 -1 1 -1 1 0 -1 0 4 0 2 0 -1 0 2 1 -2 0 0] [ 2 1 0 -1 1 2 0 1 1 -2 0 0 4 0 -1 2 -1 1 1 -1 -1 2] [ 1 0 1 1 -1 1 -3 1 -1 0 0 2 0 4 -1 -1 0 2 2 -2 -1 0] [-1 -2 0 1 0 0 0 -1 0 -1 -1 0 -1 -1 4 -1 0 0 -1 0 1 -2] [ 1 2 0 -1 2 1 0 1 1 -1 0 -1 2 -1 -1 4 0 1 0 -1 0 2] [ 0 -1 -1 1 0 0 -2 1 1 1 -1 0 -1 0 0 0 4 0 0 0 0 -2] [ 1 2 0 0 1 2 -3 2 0 -2 -1 2 1 2 0 1 0 6 2 -4 1 0] [ 1 0 1 0 -1 1 -2 2 -1 -1 -1 1 1 2 -1 0 0 2 4 -2 -1 0] [-1 -2 0 0 -1 -2 3 -2 0 2 0 -2 -1 -2 0 -1 0 -4 -2 6 0 0] [-1 1 0 -1 1 -1 0 0 -1 0 0 0 -1 -1 1 0 0 1 -1 0 4 -1] [ 1 2 0 -1 0 0 2 -1 1 -1 2 0 2 0 -2 2 -2 0 0 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 865. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 1 -1 0 1 -1 -2 1 2 2 1 2 -1 2 2 1 -2 -1 1] [ 2 4 -2 1 -1 0 0 0 -1 0 2 2 1 0 2 0 1 2 -1 -1 0 0] [-2 -2 4 -1 0 1 1 -1 1 1 0 -2 -1 0 -1 1 -2 -2 0 1 0 1] [ 0 1 -1 4 -2 1 1 1 0 0 0 2 0 1 0 -1 1 1 -2 0 -1 -2] [ 1 -1 0 -2 4 -2 -1 -1 1 -2 0 -1 0 1 -1 1 0 -1 1 -1 -1 1] [-1 0 1 1 -2 4 2 0 0 2 1 1 0 0 -1 0 0 0 -1 1 0 0] [ 0 0 1 1 -1 2 4 0 1 1 0 0 1 1 0 1 -1 0 0 1 -1 0] [ 1 0 -1 1 -1 0 0 4 -2 -1 -1 2 1 -1 1 -1 0 1 0 0 1 0] [-1 -1 1 0 1 0 1 -2 4 1 0 -1 0 2 -2 1 0 -1 0 1 -2 -1] [-2 0 1 0 -2 2 1 -1 1 4 1 0 -1 -1 -1 1 -1 -1 -1 1 1 -1] [ 1 2 0 0 0 1 0 -1 0 1 4 2 0 0 1 0 1 1 -1 -1 0 0] [ 2 2 -2 2 -1 1 0 2 -1 0 2 6 2 0 2 -1 2 2 -2 0 0 0] [ 2 1 -1 0 0 0 1 1 0 -1 0 2 4 0 1 0 1 2 0 0 -1 1] [ 1 0 0 1 1 0 1 -1 2 -1 0 0 0 4 -1 0 1 0 0 0 -2 0] [ 2 2 -1 0 -1 -1 0 1 -2 -1 1 2 1 -1 6 -2 0 1 1 -1 1 1] [-1 0 1 -1 1 0 1 -1 1 1 0 -1 0 0 -2 4 -1 -1 -1 1 0 1] [ 2 1 -2 1 0 0 -1 0 0 -1 1 2 1 1 0 -1 4 2 0 -1 -1 0] [ 2 2 -2 1 -1 0 0 1 -1 -1 1 2 2 0 1 -1 2 4 0 0 0 0] [ 1 -1 0 -2 1 -1 0 0 0 -1 -1 -2 0 0 1 -1 0 0 4 -1 0 1] [-2 -1 1 0 -1 1 1 0 1 1 -1 0 0 0 -1 1 -1 0 -1 4 1 0] [-1 0 0 -1 -1 0 -1 1 -2 1 0 0 -1 -2 1 0 -1 0 0 1 4 0] [ 1 0 1 -2 1 0 0 0 -1 -1 0 0 1 0 1 1 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 866. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -2 1 -2 -1 1 0 -2 1 2 1 1 0 0 2 1 -1 -1 0 0] [-1 4 1 1 -2 2 2 -1 0 1 1 0 -1 -1 1 0 -1 -2 2 0 0 -1] [ 0 1 4 1 1 -1 -1 -1 0 1 -1 -1 -1 1 1 -1 0 -1 2 -1 0 -2] [-2 1 1 4 -1 1 1 -1 1 2 -1 0 -1 0 0 0 -1 -1 1 -1 1 0] [ 1 -2 1 -1 4 -2 -2 0 -1 -1 0 -1 1 1 -1 0 0 0 -1 0 -1 0] [-2 2 -1 1 -2 4 1 0 0 1 0 -1 0 -2 0 1 -1 0 1 1 0 1] [-1 2 -1 1 -2 1 4 0 0 1 1 1 0 0 0 0 0 -2 1 0 0 0] [ 1 -1 -1 -1 0 0 0 4 1 0 1 2 1 1 1 -1 2 1 0 1 1 1] [ 0 0 0 1 -1 0 0 1 4 0 1 2 -1 1 2 0 1 1 1 1 1 0] [-2 1 1 2 -1 1 1 0 0 4 0 0 -1 -1 0 0 -1 -1 1 -1 0 0] [ 1 1 -1 -1 0 0 1 1 1 0 4 2 0 0 0 1 0 -1 0 0 -1 1] [ 2 0 -1 0 -1 -1 1 2 2 0 2 6 -1 1 0 1 1 0 0 0 2 0] [ 1 -1 -1 -1 1 0 0 1 -1 -1 0 -1 4 1 -1 -1 0 1 -1 0 -1 2] [ 1 -1 1 0 1 -2 0 1 1 -1 0 1 1 4 0 -1 1 0 0 0 1 0] [ 0 1 1 0 -1 0 0 1 2 0 0 0 -1 0 4 -2 1 0 2 1 0 -1] [ 0 0 -1 0 0 1 0 -1 0 0 1 1 -1 -1 -2 4 0 0 -1 0 0 1] [ 2 -1 0 -1 0 -1 0 2 1 -1 0 1 0 1 1 0 4 1 0 0 1 0] [ 1 -2 -1 -1 0 0 -2 1 1 -1 -1 0 1 0 0 0 1 4 -1 1 1 1] [-1 2 2 1 -1 1 1 0 1 1 0 0 -1 0 2 -1 0 -1 4 0 0 -1] [-1 0 -1 -1 0 1 0 1 1 -1 0 0 0 0 1 0 0 1 0 4 1 0] [ 0 0 0 1 -1 0 0 1 1 0 -1 2 -1 1 0 0 1 1 0 1 4 -1] [ 0 -1 -2 0 0 1 0 1 0 0 1 0 2 0 -1 1 0 1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 867. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 0 2 -1 1 -2 0 -1 0 -1 -1 -1 2 0 2 0 -2 -2] [ 1 4 1 0 -2 -1 1 -1 1 0 -1 1 1 -2 -2 1 1 -1 1 1 -1 0] [ 2 1 4 -2 0 -1 0 0 0 -2 -1 -1 1 0 0 0 1 1 2 -1 -1 -1] [-2 0 -2 4 1 1 0 0 -1 2 0 1 0 0 0 1 -1 0 0 0 2 1] [-1 -2 0 1 4 1 -1 1 0 0 -1 -1 1 2 2 1 -1 0 0 0 0 0] [ 0 -1 -1 1 1 4 1 -1 1 1 1 0 -1 1 1 1 -1 0 0 0 1 -1] [ 2 1 0 0 -1 1 4 -2 1 -1 1 1 -1 0 -2 0 2 -1 1 1 0 -2] [-1 -1 0 0 1 -1 -2 4 -2 -1 -1 0 0 1 2 1 -1 0 -1 0 1 2] [ 1 1 0 -1 0 1 1 -2 4 1 0 -1 1 -1 -1 0 0 0 0 0 -2 -1] [-2 0 -2 2 0 1 -1 -1 1 6 -1 0 -1 0 0 0 0 1 -1 -1 2 1] [ 0 -1 -1 0 -1 1 1 -1 0 -1 4 0 -1 0 -1 -1 0 1 0 -1 0 -1] [-1 1 -1 1 -1 0 1 0 -1 0 0 4 0 0 -1 1 0 -2 -1 1 2 1] [ 0 1 1 0 1 -1 -1 0 1 -1 -1 0 4 -1 0 0 -1 0 1 0 -1 1] [-1 -2 0 0 2 1 0 1 -1 0 0 0 -1 4 1 1 0 0 -1 0 2 0] [-1 -2 0 0 2 1 -2 2 -1 0 -1 -1 0 1 4 0 -2 0 0 0 0 1] [-1 1 0 1 1 1 0 1 0 0 -1 1 0 1 0 4 0 -1 -1 1 1 1] [ 2 1 1 -1 -1 -1 2 -1 0 0 0 0 -1 0 -2 0 4 0 1 0 0 -1] [ 0 -1 1 0 0 0 -1 0 0 1 1 -2 0 0 0 -1 0 4 1 -2 1 0] [ 2 1 2 0 0 0 1 -1 0 -1 0 -1 1 -1 0 -1 1 1 4 -1 -1 -1] [ 0 1 -1 0 0 0 1 0 0 -1 -1 1 0 0 0 1 0 -2 -1 4 0 0] [-2 -1 -1 2 0 1 0 1 -2 2 0 2 -1 2 0 1 0 1 -1 0 6 1] [-2 0 -1 1 0 -1 -2 2 -1 1 -1 1 1 0 1 1 -1 0 -1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 868. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 0 1 1 -1 2 1 1 0 1 0 -2 1 -1 -1 -1] [ 1 4 -1 -2 -1 2 -1 1 2 -1 0 1 -1 -1 -1 -1 1 0 1 -2 1 0] [-1 -1 4 0 0 0 0 1 0 0 -1 0 0 0 -1 0 -2 1 -1 0 0 2] [-1 -2 0 4 0 -2 1 -1 -2 1 -1 -2 -1 0 1 -1 -1 1 0 0 -1 1] [ 1 -1 0 0 4 -1 2 -1 -1 2 0 1 2 1 1 2 1 -1 1 -1 -2 -2] [ 1 2 0 -2 -1 4 -2 0 2 -1 1 1 -1 -1 -2 0 0 0 -1 -1 1 -1] [ 1 -1 0 1 2 -2 4 0 -1 2 -2 1 2 2 1 0 0 0 2 -1 -2 -1] [ 0 1 1 -1 -1 0 0 4 0 0 0 0 0 -1 -1 0 0 -1 0 1 0 1] [ 1 2 0 -2 -1 2 -1 0 4 -2 0 1 -1 0 0 0 0 0 1 0 1 -1] [ 1 -1 0 1 2 -1 2 0 -2 4 0 1 2 0 0 0 0 0 1 0 -2 -1] [-1 0 -1 -1 0 1 -2 0 0 0 4 -1 0 -1 0 1 1 0 -1 2 1 -1] [ 2 1 0 -2 1 1 1 0 1 1 -1 4 1 0 -1 0 0 -1 1 -1 0 -2] [ 1 -1 0 -1 2 -1 2 0 -1 2 0 1 4 1 1 1 1 -1 1 0 -1 -1] [ 1 -1 0 0 1 -1 2 -1 0 0 -1 0 1 4 1 1 0 0 1 0 -1 0] [ 0 -1 -1 1 1 -2 1 -1 0 0 0 -1 1 1 4 0 0 0 1 1 0 -1] [ 1 -1 0 -1 2 0 0 0 0 0 1 0 1 1 0 4 1 -2 0 1 -1 -1] [ 0 1 -2 -1 1 0 0 0 0 0 1 0 1 0 0 1 4 -1 1 -1 0 -2] [-2 0 1 1 -1 0 0 -1 0 0 0 -1 -1 0 0 -2 -1 4 0 0 1 1] [ 1 1 -1 0 1 -1 2 0 1 1 -1 1 1 1 1 0 1 0 4 -1 -1 -1] [-1 -2 0 0 -1 -1 -1 1 0 0 2 -1 0 0 1 1 -1 0 -1 6 1 0] [-1 1 0 -1 -2 1 -2 0 1 -2 1 0 -1 -1 0 -1 0 1 -1 1 4 0] [-1 0 2 1 -2 -1 -1 1 -1 -1 -1 -2 -1 0 -1 -1 -2 1 -1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 869. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 -1 1 -1 -2 -1 -1 1 -1 -1 -1 1 1 1 0 1 -1 -1] [ 2 4 -2 -1 -1 -2 0 -2 -1 1 0 0 -1 -2 -2 0 2 2 1 2 -1 -1] [-2 -2 4 1 2 1 -1 2 0 -1 0 -1 1 1 2 0 0 0 -1 -2 1 0] [ 0 -1 1 4 2 2 1 0 -1 1 1 1 2 2 0 1 -1 -1 1 0 -1 -1] [-1 -1 2 2 4 2 1 1 0 1 0 1 2 2 1 0 0 0 1 -1 -1 0] [-1 -2 1 2 2 4 0 0 0 0 0 1 2 2 1 1 -1 -2 1 0 0 0] [ 1 0 -1 1 1 0 4 -1 -1 1 0 1 1 0 -1 1 -1 -1 0 1 -2 1] [-1 -2 2 0 1 0 -1 6 0 -2 0 1 1 1 3 -2 -1 2 -1 -4 1 0] [-2 -1 0 -1 0 0 -1 0 6 -1 -1 0 0 -1 0 0 1 -2 -1 1 0 1] [-1 1 -1 1 1 0 1 -2 -1 6 1 0 1 1 -2 0 0 1 3 0 -1 1] [-1 0 0 1 0 0 0 0 -1 1 4 0 0 1 -1 -1 -1 -1 0 0 0 0] [ 1 0 -1 1 1 1 1 1 0 0 0 4 0 1 1 -1 0 1 0 -1 0 -1] [-1 -1 1 2 2 2 1 1 0 1 0 0 4 1 0 1 -1 -1 1 0 -1 1] [-1 -2 1 2 2 2 0 1 -1 1 1 1 1 4 1 -1 -2 0 1 -2 0 0] [-1 -2 2 0 1 1 -1 3 0 -2 -1 1 0 1 4 -1 -1 1 -1 -3 2 -1] [ 1 0 0 1 0 1 1 -2 0 0 -1 -1 1 -1 -1 4 1 -2 0 2 -1 1] [ 1 2 0 -1 0 -1 -1 -1 1 0 -1 0 -1 -2 -1 1 4 1 0 1 0 0] [ 1 2 0 -1 0 -2 -1 2 -2 1 -1 1 -1 0 1 -2 1 6 1 -2 1 -1] [ 0 1 -1 1 1 1 0 -1 -1 3 0 0 1 1 -1 0 0 1 4 0 -1 0] [ 1 2 -2 0 -1 0 1 -4 1 0 0 -1 0 -2 -3 2 1 -2 0 6 -1 0] [-1 -1 1 -1 -1 0 -2 1 0 -1 0 0 -1 0 2 -1 0 1 -1 -1 4 -1] [-1 -1 0 -1 0 0 1 0 1 1 0 -1 1 0 -1 1 0 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 870. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 2 1 1 -1 -2 -1 -2 2 1 2 -1 1 -1 -1 2 -1 -2] [ 1 4 -2 2 1 -1 -1 2 -1 1 1 -2 1 -1 1 1 0 0 -1 -1 1 1] [-1 -2 4 -2 -1 0 -1 -1 0 1 -1 2 -2 1 -2 -1 0 0 0 -1 -1 -1] [ 1 2 -2 4 2 -1 1 2 -1 1 0 -2 0 -1 0 1 -1 1 -1 1 1 0] [ 2 1 -1 2 4 1 2 1 -2 -1 0 -1 0 1 0 -1 1 -1 -2 2 -1 0] [ 2 -1 0 -1 1 4 1 -1 -1 -2 0 -1 2 1 2 -2 2 -1 -1 1 -1 -1] [ 1 -1 -1 1 2 1 4 -1 -1 -2 -1 -1 1 1 1 0 1 0 0 3 -1 0] [ 1 2 -1 2 1 -1 -1 4 0 0 1 -1 0 0 0 0 0 0 -1 0 0 0] [-1 -1 0 -1 -2 -1 -1 0 4 -1 1 0 -1 0 -1 0 0 1 1 0 0 -1] [-2 1 1 1 -1 -2 -2 0 -1 6 -1 2 -1 -1 -1 2 -2 2 -1 -2 1 2] [-1 1 -1 0 0 0 -1 1 1 -1 4 -1 0 0 0 0 0 -1 0 -1 0 0] [-2 -2 2 -2 -1 -1 -1 -1 0 2 -1 6 -1 1 -1 0 0 1 0 0 -1 2] [ 2 1 -2 0 0 2 1 0 -1 -1 0 -1 6 0 4 0 1 0 -1 2 -1 1] [ 1 -1 1 -1 1 1 1 0 0 -1 0 1 0 4 1 -1 1 -1 -1 1 -2 0] [ 2 1 -2 0 0 2 1 0 -1 -1 0 -1 4 1 6 1 1 0 0 2 0 0] [-1 1 -1 1 -1 -2 0 0 0 2 0 0 0 -1 1 4 -1 1 1 0 1 1] [ 1 0 0 -1 1 2 1 0 0 -2 0 0 1 1 1 -1 4 0 -1 1 -1 1] [-1 0 0 1 -1 -1 0 0 1 2 -1 1 0 -1 0 1 0 4 0 1 1 1] [-1 -1 0 -1 -2 -1 0 -1 1 -1 0 0 -1 -1 0 1 -1 0 4 -1 1 -1] [ 2 -1 -1 1 2 1 3 0 0 -2 -1 0 2 1 2 0 1 1 -1 6 -1 -1] [-1 1 -1 1 -1 -1 -1 0 0 1 0 -1 -1 -2 0 1 -1 1 1 -1 4 0] [-2 1 -1 0 0 -1 0 0 -1 2 0 2 1 0 0 1 1 1 -1 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 871. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 -1 1 1 -1 -1 -1 -1 0 -1 2 -1 2 -1 0 0 2 1] [-2 4 2 1 1 2 0 -1 1 0 1 0 0 1 0 0 -1 -1 0 -1 -2 -1] [-2 2 4 1 2 1 -1 -1 1 1 2 0 0 0 -2 1 -2 1 -1 0 -2 -2] [ 0 1 1 4 2 -1 -1 1 1 -1 -1 -2 0 1 0 1 0 -2 -2 -1 0 -1] [-1 1 2 2 4 -1 -2 1 2 -1 1 0 0 0 -1 2 -1 -1 -2 0 -1 -1] [-1 2 1 -1 -1 4 0 -1 0 0 1 1 1 0 1 0 -1 0 2 0 -2 0] [ 1 0 -1 -1 -2 0 4 -1 -2 0 -1 0 -1 0 0 -1 0 0 1 0 2 1] [ 1 -1 -1 1 1 -1 -1 4 0 -1 0 0 -1 0 2 0 2 -2 0 1 0 0] [-1 1 1 1 2 0 -2 0 4 -1 0 0 0 -1 -1 1 0 -1 -1 -1 0 0] [-1 0 1 -1 -1 0 0 -1 -1 4 0 1 0 0 -2 0 -1 1 1 1 0 0] [-1 1 2 -1 1 1 -1 0 0 0 4 1 0 0 0 0 -1 1 0 0 -2 -2] [-1 0 0 -2 0 1 0 0 0 1 1 4 0 0 -1 1 -1 1 1 1 0 1] [ 0 0 0 0 0 1 -1 -1 0 0 0 0 4 1 -1 1 -1 -1 0 1 -2 1] [-1 1 0 1 0 0 0 0 -1 0 0 0 1 4 -1 1 0 -1 -1 1 -1 0] [ 2 0 -2 0 -1 1 0 2 -1 -2 0 -1 -1 -1 6 -2 2 -1 1 -1 0 0] [-1 0 1 1 2 0 -1 0 1 0 0 1 1 1 -2 4 -1 -1 -1 1 0 1] [ 2 -1 -2 0 -1 -1 0 2 0 -1 -1 -1 -1 0 2 -1 4 -1 0 0 1 1] [-1 -1 1 -2 -1 0 0 -2 -1 1 1 1 -1 -1 -1 -1 -1 6 0 0 0 -1] [ 0 0 -1 -2 -2 2 1 0 -1 1 0 1 0 -1 1 -1 0 0 4 0 0 1] [ 0 -1 0 -1 0 0 0 1 -1 1 0 1 1 1 -1 1 0 0 0 4 0 1] [ 2 -2 -2 0 -1 -2 2 0 0 0 -2 0 -2 -1 0 0 1 0 0 0 6 1] [ 1 -1 -2 -1 -1 0 1 0 0 0 -2 1 1 0 0 1 1 -1 1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 872. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -1 2 -2 -1 2 -1 1 -1 1 -1 0 -1 0 0 1 0 -1 0 2] [ 0 4 -1 -1 -1 1 1 0 1 2 1 1 2 -1 2 1 2 -2 2 2 0 -1] [ 1 -1 4 1 0 0 -2 2 -2 0 0 0 0 2 -2 -1 1 1 -1 -1 -1 0] [-1 -1 1 4 0 0 1 -1 0 -1 -1 1 1 2 -2 -2 -1 0 0 0 -1 -2] [ 2 -1 0 0 4 -2 0 1 -1 0 0 1 -1 -1 -1 -1 -1 2 -1 -2 -1 0] [-2 1 0 0 -2 4 -1 -1 0 1 2 -1 1 0 2 0 1 -2 1 2 1 -2] [-1 1 -2 1 0 -1 4 -2 2 0 -1 1 1 0 0 0 0 0 1 0 -1 -1] [ 2 0 2 -1 1 -1 -2 4 -2 1 0 1 0 0 -1 0 1 1 0 -1 -1 2] [-1 1 -2 0 -1 0 2 -2 4 -1 0 1 1 0 2 1 -1 -1 0 1 0 0] [ 1 2 0 -1 0 1 0 1 -1 4 1 0 1 0 1 1 2 -1 2 1 0 -1] [-1 1 0 -1 0 2 -1 0 0 1 4 0 1 -1 2 1 1 -1 0 1 0 -1] [ 1 1 0 1 1 -1 1 1 1 0 0 4 1 0 -1 -1 0 0 0 0 -1 1] [-1 2 0 1 -1 1 1 0 1 1 1 1 4 0 1 0 1 -2 1 1 -1 -1] [ 0 -1 2 2 -1 0 0 0 0 0 -1 0 0 4 -2 0 0 0 0 0 0 -1] [-1 2 -2 -2 -1 2 0 -1 2 1 2 -1 1 -2 6 1 1 -2 0 2 1 0] [ 0 1 -1 -2 -1 0 0 0 1 1 1 -1 0 0 1 4 0 -1 1 1 1 0] [ 0 2 1 -1 -1 1 0 1 -1 2 1 0 1 0 1 0 4 -1 1 1 0 0] [ 1 -2 1 0 2 -2 0 1 -1 -1 -1 0 -2 0 -2 -1 -1 4 -1 -2 -1 1] [ 0 2 -1 0 -1 1 1 0 0 2 0 0 1 0 0 1 1 -1 4 1 0 -1] [-1 2 -1 0 -2 2 0 -1 1 1 1 0 1 0 2 1 1 -2 1 4 2 -1] [ 0 0 -1 -1 -1 1 -1 -1 0 0 0 -1 -1 0 1 1 0 -1 0 2 4 0] [ 2 -1 0 -2 0 -2 -1 2 0 -1 -1 1 -1 -1 0 0 0 1 -1 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 873. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 -1 1 1 2 0 1 -1 -2 -1 1 1 -2 1 -1 0 1 1 0] [-2 4 1 -1 2 0 -1 -2 0 -1 2 2 1 -1 -1 2 0 -1 1 1 1 0] [ 0 1 4 1 2 0 1 -2 0 -2 -1 2 2 1 -1 2 -1 1 2 -1 2 1] [-1 -1 1 4 1 0 1 0 -1 -1 -2 0 1 1 -1 1 -1 2 1 -2 0 0] [-1 2 2 1 4 0 1 -1 0 -2 1 1 2 1 -2 1 0 1 2 -1 2 0] [ 1 0 0 0 0 4 -1 -1 0 0 1 1 1 1 1 -2 -1 -1 1 1 2 -1] [ 1 -1 1 1 1 -1 4 2 0 0 -2 -2 0 0 0 1 1 1 0 -1 0 1] [ 2 -2 -2 0 -1 -1 2 6 1 1 -2 -4 -2 0 1 -1 1 0 -2 0 0 1] [ 0 0 0 -1 0 0 0 1 4 0 0 1 0 0 0 1 1 1 0 -1 0 2] [ 1 -1 -2 -1 -2 0 0 1 0 4 1 -2 -1 0 2 -1 2 -1 -1 1 -2 0] [-1 2 -1 -2 1 1 -2 -2 0 1 6 0 1 1 1 -1 1 -1 1 1 1 -2] [-2 2 2 0 1 1 -2 -4 1 -2 0 6 2 -1 -2 2 -2 0 1 0 1 0] [-1 1 2 1 2 1 0 -2 0 -1 1 2 4 1 -1 1 -1 0 1 -1 2 0] [ 1 -1 1 1 1 1 0 0 0 0 1 -1 1 4 0 -1 0 1 1 -1 2 0] [ 1 -1 -1 -1 -2 1 0 1 0 2 1 -2 -1 0 4 -2 0 -1 0 1 -1 0] [-2 2 2 1 1 -2 1 -1 1 -1 -1 2 1 -1 -2 6 1 1 0 -1 0 2] [ 1 0 -1 -1 0 -1 1 1 1 2 1 -2 -1 0 0 1 4 0 0 0 -1 1] [-1 -1 1 2 1 -1 1 0 1 -1 -1 0 0 1 -1 1 0 4 1 -2 0 1] [ 0 1 2 1 2 1 0 -2 0 -1 1 1 1 1 0 0 0 1 4 -1 1 0] [ 1 1 -1 -2 -1 1 -1 0 -1 1 1 0 -1 -1 1 -1 0 -2 -1 4 1 -1] [ 1 1 2 0 2 2 0 0 0 -2 1 1 2 2 -1 0 -1 0 1 1 6 -1] [ 0 0 1 0 0 -1 1 1 2 0 -2 0 0 0 0 2 1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 874. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 2 0 2 1 -2 -2 0 -1 0 0 -2 0 -1 -2 0 -1 1 -2] [-1 4 0 -1 0 1 0 1 2 2 0 1 0 -1 2 0 -1 0 1 -1 0 -1] [-2 0 4 0 -2 1 -2 -1 2 1 -1 0 -1 -1 0 -1 1 2 -1 1 -2 0] [-1 -1 0 4 -1 -2 -2 1 1 1 0 -1 -1 0 1 1 2 -1 1 2 0 0] [ 2 0 -2 -1 4 -1 2 0 -1 0 0 -1 0 0 0 1 -2 0 1 0 2 -1] [ 0 1 1 -2 -1 4 1 -1 1 -1 0 0 1 0 -1 0 -1 1 0 -2 -1 -1] [ 2 0 -2 -2 2 1 4 0 -2 -2 0 0 1 1 -1 1 -2 0 0 -2 1 0] [ 1 1 -1 1 0 -1 0 4 0 0 1 1 -1 0 1 1 0 -2 1 -1 1 0] [-2 2 2 1 -1 1 -2 0 6 1 1 0 0 -2 2 0 1 2 1 0 -1 -2] [-2 2 1 1 0 -1 -2 0 1 6 -1 0 0 -2 2 -1 1 -1 1 3 1 0] [ 0 0 -1 0 0 0 0 1 1 -1 4 0 1 0 0 1 0 -1 0 -2 1 1] [-1 1 0 -1 -1 0 0 1 0 0 0 4 0 0 1 -1 0 1 -1 0 0 1] [ 0 0 -1 -1 0 1 1 -1 0 0 1 0 4 -1 0 0 1 -1 1 0 1 1] [ 0 -1 -1 0 0 0 1 0 -2 -2 0 0 -1 4 0 1 -1 0 0 -1 0 2] [-2 2 0 1 0 -1 -1 1 2 2 0 1 0 0 4 0 0 0 2 1 0 1] [ 0 0 -1 1 1 0 1 1 0 -1 1 -1 0 1 0 4 0 0 1 -1 1 1] [-1 -1 1 2 -2 -1 -2 0 1 1 0 0 1 -1 0 0 4 -1 0 2 0 1] [-2 0 2 -1 0 1 0 -2 2 -1 -1 1 -1 0 0 0 -1 6 -1 0 -1 0] [ 0 1 -1 1 1 0 0 1 1 1 0 -1 1 0 2 1 0 -1 4 0 1 0] [-1 -1 1 2 0 -2 -2 -1 0 3 -2 0 0 -1 1 -1 2 0 0 6 1 0] [ 1 0 -2 0 2 -1 1 1 -1 1 1 0 1 0 0 1 0 -1 1 1 4 0] [-2 -1 0 0 -1 -1 0 0 -2 0 1 1 1 2 1 1 1 0 0 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 875. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 0 -1 2 -1 -1 -1 -1 0 1 -1 0 -1 -1 1 -2 -1 1 2] [-1 4 -2 0 1 0 0 0 2 -1 1 1 0 0 0 1 -1 0 0 0 -2 1] [ 2 -2 6 -1 0 1 1 1 0 -1 -3 1 1 0 1 -2 1 -1 -2 1 0 2] [ 1 0 -1 4 -1 -1 0 0 0 1 2 0 1 -2 -1 1 -1 2 0 -2 2 -1] [ 0 1 0 -1 4 1 0 0 2 -2 0 2 0 0 1 -1 1 1 0 -1 -1 0] [-1 0 1 -1 1 4 -1 2 1 -1 -2 0 1 -1 2 -1 2 0 1 0 -2 1] [ 2 0 1 0 0 -1 4 -2 -1 0 0 0 1 0 1 -1 -2 0 -2 0 1 1] [-1 0 1 0 0 2 -2 4 2 0 0 0 1 0 1 -1 1 0 1 0 -2 1] [-1 2 0 0 2 1 -1 2 4 -1 1 1 1 0 1 0 0 0 0 0 -2 0] [-1 -1 -1 1 -2 -1 0 0 -1 4 2 -1 -1 0 -1 0 0 -1 0 1 2 -2] [-1 1 -3 2 0 -2 0 0 1 2 6 -1 0 1 0 1 -1 1 1 -1 2 -3] [ 0 1 1 0 2 0 0 0 1 -1 -1 4 0 -1 -1 0 0 0 -1 0 0 0] [ 1 0 1 1 0 1 1 1 1 -1 0 0 4 -1 1 0 -1 0 -1 -1 0 1] [-1 0 0 -2 0 -1 0 0 0 0 1 -1 -1 4 0 0 0 -1 0 1 0 0] [ 0 0 1 -1 1 2 1 1 1 -1 0 -1 1 0 4 -2 0 0 1 0 -2 1] [-1 1 -2 1 -1 -1 -1 -1 0 0 1 0 0 0 -2 4 0 0 0 0 1 -1] [-1 -1 1 -1 1 2 -2 1 0 0 -1 0 -1 0 0 0 4 0 1 0 0 0] [ 1 0 -1 2 1 0 0 0 0 -1 1 0 0 -1 0 0 0 4 1 -2 1 0] [-2 0 -2 0 0 1 -2 1 0 0 1 -1 -1 0 1 0 1 1 4 -1 -1 -1] [-1 0 1 -2 -1 0 0 0 0 1 -1 0 -1 1 0 0 0 -2 -1 4 0 0] [ 1 -2 0 2 -1 -2 1 -2 -2 2 2 0 0 0 -2 1 0 1 -1 0 6 -3] [ 2 1 2 -1 0 1 1 1 0 -2 -3 0 1 0 1 -1 0 0 -1 0 -3 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 876. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 -1 1 1 -1 1 0 -1 0 2 1 1 0 2 1 -1 1 -2 2] [ 1 4 1 -1 0 0 -1 -2 0 0 0 -1 1 1 -1 -1 1 0 -2 2 0 1] [-2 1 4 -1 1 -1 -2 0 -1 -1 1 -1 -1 -1 -1 -1 -2 0 -1 0 2 -1] [-1 -1 -1 4 -1 1 0 0 1 0 -1 -1 0 -1 0 2 0 1 0 0 1 0] [-1 0 1 -1 4 -2 0 1 1 0 0 -1 -2 1 -2 -1 0 -1 1 0 2 0] [ 1 0 -1 1 -2 4 -1 -2 0 1 0 0 2 -1 2 1 0 1 -1 0 -2 1] [ 1 -1 -2 0 0 -1 4 2 0 1 0 1 0 0 -1 1 1 0 1 -1 -1 1] [-1 -2 0 0 1 -2 2 4 -1 0 1 1 -2 0 -1 1 0 0 2 -1 1 0] [ 1 0 -1 1 1 0 0 -1 4 0 -2 -2 0 0 0 1 0 1 -1 0 0 0] [ 0 0 -1 0 0 1 1 0 0 4 -1 1 1 1 0 1 0 -1 1 0 -2 0] [-1 0 1 -1 0 0 0 1 -2 -1 4 1 -1 -1 0 -1 0 -1 0 -1 1 0] [ 0 -1 -1 -1 -1 0 1 1 -2 1 1 4 1 1 1 0 0 -1 1 -1 -2 -1] [ 2 1 -1 0 -2 2 0 -2 0 1 -1 1 4 0 1 0 0 0 -1 1 -3 1] [ 1 1 -1 -1 1 -1 0 0 0 1 -1 1 0 4 0 -1 1 -1 1 1 0 0] [ 1 -1 -1 0 -2 2 -1 -1 0 0 0 1 1 0 4 0 0 1 0 -1 -2 0] [ 0 -1 -1 2 -1 1 1 1 1 1 -1 0 0 -1 0 4 0 2 0 -1 -1 0] [ 2 1 -2 0 0 0 1 0 0 0 0 0 0 1 0 0 4 0 0 1 0 2] [ 1 0 0 1 -1 1 0 0 1 -1 -1 -1 0 -1 1 2 0 4 -1 0 0 1] [-1 -2 -1 0 1 -1 1 2 -1 1 0 1 -1 1 0 0 0 -1 4 -1 0 0] [ 1 2 0 0 0 0 -1 -1 0 0 -1 -1 1 1 -1 -1 1 0 -1 4 1 1] [-2 0 2 1 2 -2 -1 1 0 -2 1 -2 -3 0 -2 -1 0 0 0 1 6 -1] [ 2 1 -1 0 0 1 1 0 0 0 0 -1 1 0 0 0 2 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 877. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 1 -1 2 -1 2 -2 -1 1 0 -1 1 1 1 -1 -1 1 1 0 -1] [-1 4 1 -1 1 1 1 1 -1 1 -1 0 1 -2 -1 -1 2 1 -1 -2 1 1] [-1 1 4 -2 -1 0 -1 0 0 1 -2 -1 -1 1 0 -2 1 -1 -1 1 1 1] [ 1 -1 -2 4 0 0 1 -1 0 -1 0 1 0 -1 1 2 -1 1 0 -1 0 0] [-1 1 -1 0 4 0 2 0 0 1 -1 1 1 0 0 0 1 2 0 0 -1 1] [ 2 1 0 0 0 4 -1 1 -2 1 1 -1 -1 0 0 0 0 0 0 0 0 1] [-1 1 -1 1 2 -1 4 0 0 1 -1 2 1 -1 1 0 1 2 -1 -1 0 0] [ 2 1 0 -1 0 1 0 4 -2 -1 0 0 0 0 1 0 0 0 0 0 1 -1] [-2 -1 0 0 0 -2 0 -2 4 1 -1 1 1 1 -1 -1 -1 -1 1 1 0 1] [-1 1 1 -1 1 1 1 -1 1 4 -1 0 0 0 0 -2 0 0 0 0 0 2] [ 1 -1 -2 0 -1 1 -1 0 -1 -1 4 -1 0 0 0 1 -1 0 1 0 -1 -1] [ 0 0 -1 1 1 -1 2 0 1 0 -1 4 0 1 0 0 0 1 1 1 1 0] [-1 1 -1 0 1 -1 1 0 1 0 0 0 4 -2 -1 1 0 0 1 -2 -1 1] [ 1 -2 1 -1 0 0 -1 0 1 0 0 1 -2 6 1 -1 0 -1 1 4 0 0] [ 1 -1 0 1 0 0 1 1 -1 0 0 0 -1 1 4 1 -1 0 0 1 1 0] [ 1 -1 -2 2 0 0 0 0 -1 -2 1 0 1 -1 1 4 -1 0 1 -1 0 0] [-1 2 1 -1 1 0 1 0 -1 0 -1 0 0 0 -1 -1 4 1 -2 -1 0 0] [-1 1 -1 1 2 0 2 0 -1 0 0 1 0 -1 0 0 1 4 -1 -1 0 0] [ 1 -1 -1 0 0 0 -1 0 1 0 1 1 1 1 0 1 -2 -1 4 1 0 1] [ 1 -2 1 -1 0 0 -1 0 1 0 0 1 -2 4 1 -1 -1 -1 1 6 1 0] [ 0 1 1 0 -1 0 0 1 0 0 -1 1 -1 0 1 0 0 0 0 1 4 0] [-1 1 1 0 1 1 0 -1 1 2 -1 0 1 0 0 0 0 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 878. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 2 2 1 0 1 -1 1 0 1 1 1 1 1 1 0 1 2] [ 1 4 2 1 -2 2 -1 1 0 2 -1 0 1 -1 1 -1 1 -1 0 0 0 1] [ 2 2 4 0 -2 2 0 0 1 2 0 0 1 -1 0 0 2 0 0 0 1 1] [-1 1 0 4 -1 1 0 0 1 1 -1 1 -1 0 0 0 1 -2 1 1 0 0] [-1 -2 -2 -1 4 -2 0 -1 -1 -2 1 -1 -1 0 -1 -1 -2 1 -1 0 0 0] [ 2 2 2 1 -2 4 1 0 0 2 -1 1 1 1 0 1 1 -1 0 0 0 1] [ 2 -1 0 0 0 1 4 1 0 0 0 2 0 1 1 1 0 0 0 0 0 0] [ 1 1 0 0 -1 0 1 4 -1 0 0 1 0 0 1 0 1 1 1 -1 1 0] [ 0 0 1 1 -1 0 0 -1 4 0 -1 1 0 0 -1 -1 0 0 1 2 0 0] [ 1 2 2 1 -2 2 0 0 0 4 -1 1 1 -1 1 1 2 -1 1 -1 1 1] [-1 -1 0 -1 1 -1 0 0 -1 -1 4 -2 1 0 0 0 0 1 -1 0 -1 -2] [ 1 0 0 1 -1 1 2 1 1 1 -2 4 -1 0 0 1 0 0 1 0 1 0] [ 0 1 1 -1 -1 1 0 0 0 1 1 -1 4 -1 1 0 0 -1 -1 0 0 0] [ 1 -1 -1 0 0 1 1 0 0 -1 0 0 -1 4 -1 1 0 1 1 0 -1 0] [ 1 1 0 0 -1 0 1 1 -1 1 0 0 1 -1 4 0 0 -1 0 0 0 1] [ 1 -1 0 0 -1 1 1 0 -1 1 0 1 0 1 0 4 1 0 1 -1 1 0] [ 1 1 2 1 -2 1 0 1 0 2 0 0 0 0 0 1 4 0 1 -1 1 0] [ 1 -1 0 -2 1 -1 0 1 0 -1 1 0 -1 1 -1 0 0 4 1 0 1 0] [ 1 0 0 1 -1 0 0 1 1 1 -1 1 -1 1 0 1 1 1 4 0 1 1] [ 0 0 0 1 0 0 0 -1 2 -1 0 0 0 0 0 -1 -1 0 0 4 0 0] [ 1 0 1 0 0 0 0 1 0 1 -1 1 0 -1 0 1 1 1 1 0 4 1] [ 2 1 1 0 0 1 0 0 0 1 -2 0 0 0 1 0 0 0 1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 879. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 0 -2 -2 -1 1 0 -2 0 -2 -1 -1 -1 2 1 0 -2 0 0] [-2 6 -1 -2 0 1 0 0 1 -1 1 0 1 2 2 -2 -1 -1 1 2 -2 1] [-2 -1 6 3 2 3 1 -1 -1 -1 1 -2 0 1 -1 2 -1 1 0 0 0 -1] [-1 -2 3 6 1 3 2 1 -2 1 2 -1 0 -1 1 1 -2 -1 0 0 0 1] [ 0 0 2 1 4 0 0 0 -1 -2 0 -2 -1 0 0 -1 0 2 -1 -1 -1 0] [-2 1 3 3 0 6 0 0 -2 -1 1 -1 2 1 2 0 -1 -2 0 0 0 0] [-2 0 1 2 0 0 4 2 0 2 2 0 1 -1 1 2 -2 0 1 2 0 0] [-1 0 -1 1 0 0 2 4 0 1 1 0 2 -2 2 1 -1 0 -1 1 0 0] [ 1 1 -1 -2 -1 -2 0 0 6 -1 0 2 0 -1 0 -1 2 1 0 -1 1 -2] [ 0 -1 -1 1 -2 -1 2 1 -1 6 0 1 0 0 0 1 -1 0 2 3 -1 1] [-2 1 1 2 0 1 2 1 0 0 4 1 1 -1 1 1 -2 -1 1 0 0 1] [ 0 0 -2 -1 -2 -1 0 0 2 1 1 4 1 -1 0 -1 1 -1 0 -1 1 0] [-2 1 0 0 -1 2 1 2 0 0 1 1 4 0 2 1 0 -1 -1 0 1 -1] [-1 2 1 -1 0 1 -1 -2 -1 0 -1 -1 0 4 0 -1 0 0 1 1 -1 0] [-1 2 -1 1 0 2 1 2 0 0 1 0 2 0 4 -1 -1 -1 0 0 0 0] [-1 -2 2 1 -1 0 2 1 -1 1 1 -1 1 -1 -1 6 -1 0 0 1 1 0] [ 2 -1 -1 -2 0 -1 -2 -1 2 -1 -2 1 0 0 -1 -1 4 1 -1 -2 1 -1] [ 1 -1 1 -1 2 -2 0 0 1 0 -1 -1 -1 0 -1 0 1 4 0 0 0 -1] [ 0 1 0 0 -1 0 1 -1 0 2 1 0 -1 1 0 0 -1 0 4 1 -1 1] [-2 2 0 0 -1 0 2 1 -1 3 0 -1 0 1 0 1 -2 0 1 6 -1 1] [ 0 -2 0 0 -1 0 0 0 1 -1 0 1 1 -1 0 1 1 0 -1 -1 4 -2] [ 0 1 -1 1 0 0 0 0 -2 1 1 0 -1 0 0 0 -1 -1 1 1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 880. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 1 -2 -1 0 1 -2 -1 0 1 -1 0 -1 1 1 -1 0 -1 -2 -2] [ 0 4 0 1 1 2 1 0 -1 1 1 1 -1 2 2 2 1 -2 -1 -1 -2 1] [ 0 0 4 -1 0 0 -2 -1 2 1 -1 1 1 0 -1 -2 -1 1 -2 1 0 -2] [ 1 1 -1 4 -1 1 2 2 -2 0 1 1 0 2 0 1 2 -2 -1 -2 -1 -1] [-2 1 0 -1 4 2 1 -2 0 0 1 -1 0 1 2 -1 -1 1 0 1 1 2] [-1 2 0 1 2 4 2 -1 0 0 2 1 0 2 1 1 1 -1 0 -1 -1 1] [ 0 1 -2 2 1 2 4 0 -2 -1 2 0 -1 1 1 2 1 -2 1 -1 -1 1] [ 1 0 -1 2 -2 -1 0 4 -1 0 0 1 1 0 0 1 1 -1 0 -1 0 0] [-2 -1 2 -2 0 0 -2 -1 6 0 0 -1 2 -2 -2 -2 -2 0 0 2 0 -1] [-1 1 1 0 0 0 -1 0 0 4 -2 0 -1 1 0 -1 -1 0 -2 0 1 1] [ 0 1 -1 1 1 2 2 0 0 -2 4 1 1 0 1 2 1 -2 1 -1 -2 0] [ 1 1 1 1 -1 1 0 1 -1 0 1 4 1 1 1 2 2 -1 -1 -2 -2 0] [-1 -1 1 0 0 0 -1 1 2 -1 1 1 4 -1 0 -1 0 1 0 0 1 -1] [ 0 2 0 2 1 2 1 0 -2 1 0 1 -1 4 1 0 1 0 -1 -1 -1 1] [-1 2 -1 0 2 1 1 0 -2 0 1 1 0 1 4 2 1 0 0 -1 0 2] [ 1 2 -2 1 -1 1 2 1 -2 -1 2 2 -1 0 2 6 2 -2 1 -2 -2 1] [ 1 1 -1 2 -1 1 1 1 -2 -1 1 2 0 1 1 2 4 -1 0 -2 -1 0] [-1 -2 1 -2 1 -1 -2 -1 0 0 -2 -1 1 0 0 -2 -1 6 0 1 3 1] [ 0 -1 -2 -1 0 0 1 0 0 -2 1 -1 0 -1 0 1 0 0 4 0 0 1] [-1 -1 1 -2 1 -1 -1 -1 2 0 -1 -2 0 -1 -1 -2 -2 1 0 4 2 0] [-2 -2 0 -1 1 -1 -1 0 0 1 -2 -2 1 -1 0 -2 -1 3 0 2 6 0] [-2 1 -2 -1 2 1 1 0 -1 1 0 0 -1 1 2 1 0 1 1 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 881. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 2 -1 1 0 1 -1 1 -1 -1 -1 2 0 -1 0 1] [ 1 4 0 -2 1 2 0 2 0 0 1 0 -1 0 -1 -1 1 0 1 0 1 -1] [-1 0 4 -1 1 -1 0 0 0 0 1 0 2 0 -1 1 -1 -2 -1 0 1 0] [-1 -2 -1 4 0 0 1 -2 1 1 -2 -1 0 1 0 1 0 -1 -1 -1 0 1] [ 1 1 1 0 4 0 2 0 0 1 1 0 -1 1 -2 -1 0 0 -1 -1 1 1] [ 1 2 -1 0 0 4 -1 2 -1 0 -1 1 -1 1 -1 -1 0 -1 0 -1 1 0] [ 1 0 0 1 2 -1 4 -1 1 2 0 -1 0 0 0 -1 -1 0 0 0 0 0] [ 2 2 0 -2 0 2 -1 4 -1 -1 1 1 0 1 -1 -1 0 0 1 -1 1 0] [-1 0 0 1 0 -1 1 -1 4 0 -1 -2 1 0 1 1 1 1 -1 0 -1 -1] [ 1 0 0 1 1 0 2 -1 0 4 -1 -1 0 1 0 -1 -2 1 0 -1 -1 1] [ 0 1 1 -2 1 -1 0 1 -1 -1 4 0 0 -1 0 0 1 -1 1 1 1 -1] [ 1 0 0 -1 0 1 -1 1 -2 -1 0 4 0 -1 -1 0 -1 0 0 -1 0 0] [-1 -1 2 0 -1 -1 0 0 1 0 0 0 4 -1 1 1 -1 -1 -1 0 0 0] [ 1 0 0 1 1 1 0 1 0 1 -1 -1 -1 4 -1 0 -1 0 0 -2 0 1] [-1 -1 -1 0 -2 -1 0 -1 1 0 0 -1 1 -1 4 0 0 1 0 1 -2 -1] [-1 -1 1 1 -1 -1 -1 -1 1 -1 0 0 1 0 0 4 1 -1 -1 0 0 0] [-1 1 -1 0 0 0 -1 0 1 -2 1 -1 -1 -1 0 1 4 0 0 1 1 0] [ 2 0 -2 -1 0 -1 0 0 1 1 -1 0 -1 0 1 -1 0 6 0 0 -2 1] [ 0 1 -1 -1 -1 0 0 1 -1 0 1 0 -1 0 0 -1 0 0 4 0 0 -1] [-1 0 0 -1 -1 -1 0 -1 0 -1 1 -1 0 -2 1 0 1 0 0 4 1 -1] [ 0 1 1 0 1 1 0 1 -1 -1 1 0 0 0 -2 0 1 -2 0 1 4 0] [ 1 -1 0 1 1 0 0 0 -1 1 -1 0 0 1 -1 0 0 1 -1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 882. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 -1 2 -2 0 1 0 0 -2 1 1 -1 1 -1 0 1 1 0 -2] [ 0 4 -2 1 -1 1 0 1 1 2 -2 1 1 0 1 -1 1 -2 -1 0 0 1] [ 1 -2 4 -1 -1 1 -1 -1 -1 -1 0 0 0 0 -1 1 0 0 1 0 0 -2] [ 1 1 -1 4 1 -1 -1 0 1 -1 -1 0 -1 0 0 0 -1 -1 -1 0 0 1] [-1 -1 -1 1 4 -1 1 1 1 -2 0 0 0 1 1 -1 -1 0 -1 1 -1 2] [ 2 1 1 -1 -1 6 -1 2 -1 2 0 0 2 1 0 0 -1 0 2 1 1 -3] [-2 0 -1 -1 1 -1 4 -1 1 -1 0 1 -1 1 2 -2 1 0 0 1 -1 0] [ 0 1 -1 0 1 2 -1 4 -1 1 0 0 2 0 1 -1 -1 0 -1 0 0 1] [ 1 1 -1 1 1 -1 1 -1 4 -1 -1 -1 0 1 1 -1 1 -1 0 1 -1 0] [ 0 2 -1 -1 -2 2 -1 1 -1 4 0 0 1 -1 0 0 0 0 1 -1 1 0] [ 0 -2 0 -1 0 0 0 0 -1 0 4 -1 0 -1 -1 0 0 1 1 -1 1 -1] [-2 1 0 0 0 0 1 0 -1 0 -1 4 -1 -1 1 0 1 -1 -1 -1 1 0] [ 1 1 0 -1 0 2 -1 2 0 1 0 -1 4 0 0 -1 0 0 0 0 -1 0] [ 1 0 0 0 1 1 1 0 1 -1 -1 -1 0 4 1 0 0 0 0 2 -1 0] [-1 1 -1 0 1 0 2 1 1 0 -1 1 0 1 4 -1 0 -1 0 1 0 1] [ 1 -1 1 0 -1 0 -2 -1 -1 0 0 0 -1 0 -1 4 -1 0 1 0 2 0] [-1 1 0 -1 -1 -1 1 -1 1 0 0 1 0 0 0 -1 4 -1 -1 -1 0 0] [ 0 -2 0 -1 0 0 0 0 -1 0 1 -1 0 0 -1 0 -1 4 1 0 0 -1] [ 1 -1 1 -1 -1 2 0 -1 0 1 1 -1 0 0 0 1 -1 1 4 0 1 -2] [ 1 0 0 0 1 1 1 0 1 -1 -1 -1 0 2 1 0 -1 0 0 4 0 0] [ 0 0 0 0 -1 1 -1 0 -1 1 1 1 -1 -1 0 2 0 0 1 0 4 -1] [-2 1 -2 1 2 -3 0 1 0 0 -1 0 0 0 1 0 0 -1 -2 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 883. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 2 -1 -1 -2 -1 1 -2 1 -1 -1 0 0 0 -1 -2 1 0 1] [-2 4 1 -1 -1 2 1 2 1 1 2 0 1 -1 1 0 1 1 2 -1 1 -1] [ 0 1 4 1 1 1 2 1 1 0 1 1 2 0 0 1 -1 0 0 0 0 -2] [ 1 -1 1 4 0 0 1 -1 -1 1 0 1 1 1 -1 1 1 1 -1 -1 -1 0] [ 2 -1 1 0 4 -1 -1 0 -1 1 0 0 0 -1 0 -1 -1 -1 -1 1 -1 0] [-1 2 1 0 -1 4 2 0 1 0 2 -1 0 0 0 1 1 1 0 -1 0 -1] [-1 1 2 1 -1 2 4 1 0 -1 2 1 2 1 -1 2 0 1 0 -1 0 -1] [-2 2 1 -1 0 0 1 4 0 0 2 0 2 0 0 -1 0 0 2 0 0 0] [-1 1 1 -1 -1 1 0 0 4 0 -1 -1 0 -1 1 0 0 -1 1 1 0 -1] [ 1 1 0 1 1 0 -1 0 0 4 -1 0 0 -1 0 -1 2 1 1 -1 -1 0] [-2 2 1 0 0 2 2 2 -1 -1 6 0 1 0 1 0 -1 0 0 -1 1 0] [ 1 0 1 1 0 -1 1 0 -1 0 0 4 0 1 -1 0 -1 1 -1 -1 1 -1] [-1 1 2 1 0 0 2 2 0 0 1 0 4 0 0 1 0 0 1 0 0 0] [-1 -1 0 1 -1 0 1 0 -1 -1 0 1 0 4 -2 0 0 2 0 -2 -1 -1] [ 0 1 0 -1 0 0 -1 0 1 0 1 -1 0 -2 4 -1 -1 -1 1 1 2 1] [ 0 0 1 1 -1 1 2 -1 0 -1 0 0 1 0 -1 4 1 0 -1 0 0 0] [ 0 1 -1 1 -1 1 0 0 0 2 -1 -1 0 0 -1 1 4 1 1 -1 -1 1] [-1 1 0 1 -1 1 1 0 -1 1 0 1 0 2 -1 0 1 4 1 -2 0 -1] [-2 2 0 -1 -1 0 0 2 1 1 0 -1 1 0 1 -1 1 1 4 -1 0 0] [ 1 -1 0 -1 1 -1 -1 0 1 -1 -1 -1 0 -2 1 0 -1 -2 -1 4 1 1] [ 0 1 0 -1 -1 0 0 0 0 -1 1 1 0 -1 2 0 -1 0 0 1 4 0] [ 1 -1 -2 0 0 -1 -1 0 -1 0 0 -1 0 -1 1 0 1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 884. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -2 -1 1 -1 -1 2 1 0 0 -2 0 1 1 -1 2 -1 0] [ 0 4 -1 -1 1 1 2 1 2 2 0 2 0 -1 -1 1 1 2 0 0 -1 0] [ 1 -1 4 0 0 0 -1 0 0 0 -1 -1 0 1 -1 -1 0 0 -1 0 0 -1] [ 2 -1 0 4 -2 -2 -1 0 -2 -1 1 1 0 1 0 -1 1 1 -1 0 1 -1] [-2 1 0 -2 4 2 1 -1 1 1 -2 -1 1 -1 1 0 -1 1 0 0 1 0] [-2 1 0 -2 2 4 2 -1 2 2 -2 -1 0 0 0 1 -1 1 0 0 0 1] [-1 2 -1 -1 1 2 4 1 2 1 0 0 -1 0 0 0 0 1 0 -1 0 1] [ 1 1 0 0 -1 -1 1 4 0 1 2 1 0 -1 0 1 2 1 0 1 0 -1] [-1 2 0 -2 1 2 2 0 4 1 0 1 -1 0 0 0 0 1 1 0 -1 1] [-1 2 0 -1 1 2 1 1 1 4 -1 1 0 0 0 2 1 2 0 0 0 -1] [ 2 0 -1 1 -2 -2 0 2 0 -1 4 1 0 0 0 0 1 0 0 1 -1 0] [ 1 2 -1 1 -1 -1 0 1 1 1 1 4 0 0 0 0 2 2 0 0 0 0] [ 0 0 0 0 1 0 -1 0 -1 0 0 0 4 0 1 0 -1 0 0 0 0 -1] [ 0 -1 1 1 -1 0 0 -1 0 0 0 0 0 4 1 -1 -1 -1 -1 -1 0 0] [-2 -1 -1 0 1 0 0 0 0 0 0 0 1 1 4 0 -1 0 1 -1 1 0] [ 0 1 -1 -1 0 1 0 1 0 2 0 0 0 -1 0 4 0 1 1 2 -1 0] [ 1 1 0 1 -1 -1 0 2 0 1 1 2 -1 -1 -1 0 4 1 0 0 1 -1] [ 1 2 0 1 1 1 1 1 1 2 0 2 0 -1 0 1 1 6 0 2 0 -1] [-1 0 -1 -1 0 0 0 0 1 0 0 0 0 -1 1 1 0 0 4 -1 -1 0] [ 2 0 0 0 0 0 -1 1 0 0 1 0 0 -1 -1 2 0 2 -1 6 0 0] [-1 -1 0 1 1 0 0 0 -1 0 -1 0 0 0 1 -1 1 0 -1 0 4 -1] [ 0 0 -1 -1 0 1 1 -1 1 -1 0 0 -1 0 0 0 -1 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 885. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 2 2 -1 -1 2 1 -2 2 -1 0 1 2 -1 2 1 -1 1 -2 1] [-1 4 2 -2 0 -1 2 -1 1 -1 0 1 -1 0 1 -1 -1 1 1 0 2 0] [-1 2 4 -2 0 0 1 -1 0 0 0 0 0 0 1 1 -1 1 2 0 1 1] [ 2 -2 -2 4 0 -1 -1 1 -1 0 1 -1 0 0 1 -1 2 -1 -1 0 -2 0] [ 2 0 0 0 4 0 0 2 1 -1 1 0 1 2 1 0 1 2 0 2 -1 0] [-1 -1 0 -1 0 4 1 1 1 1 -2 -1 0 1 -2 0 0 1 -1 -1 -1 1] [-1 2 1 -1 0 1 4 -1 0 0 0 1 -1 1 1 0 0 0 1 -1 0 1] [ 2 -1 -1 1 2 1 -1 4 1 0 0 -1 0 1 0 -1 2 2 -1 1 -2 1] [ 1 1 0 -1 1 1 0 1 4 -1 0 -1 -1 1 0 -2 0 2 -1 0 1 0] [-2 -1 0 0 -1 1 0 0 -1 4 -2 0 1 0 -2 0 0 -1 1 -1 0 -1] [ 2 0 0 1 1 -2 0 0 0 -2 4 1 -1 0 2 1 0 0 0 1 0 1] [-1 1 0 -1 0 -1 1 -1 -1 0 1 4 -1 0 0 2 -2 0 1 0 0 0] [ 0 -1 0 0 1 0 -1 0 -1 1 -1 -1 4 1 0 1 1 0 1 0 -1 -1] [ 1 0 0 0 2 1 1 1 1 0 0 0 1 4 1 -1 1 1 0 1 -2 1] [ 2 1 1 1 1 -2 1 0 0 -2 2 0 0 1 6 -1 2 0 2 0 -2 1] [-1 -1 1 -1 0 0 0 -1 -2 0 1 2 1 -1 -1 6 -1 0 1 0 0 1] [ 2 -1 -1 2 1 0 0 2 0 0 0 -2 1 1 2 -1 4 0 0 0 -2 1] [ 1 1 1 -1 2 1 0 2 2 -1 0 0 0 1 0 0 0 4 0 1 0 1] [-1 1 2 -1 0 -1 1 -1 -1 1 0 1 1 0 2 1 0 0 4 -1 0 0] [ 1 0 0 0 2 -1 -1 1 0 -1 1 0 0 1 0 0 0 1 -1 4 1 0] [-2 2 1 -2 -1 -1 0 -2 1 0 0 0 -1 -2 -2 0 -2 0 0 1 6 -2] [ 1 0 1 0 0 1 1 1 0 -1 1 0 -1 1 1 1 1 1 0 0 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 886. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 1 -1 0 1 2 -1 1 -1 -1 0 1 2 -1 -2 1 0 0] [-1 4 0 0 -1 -1 1 1 1 -2 0 1 1 0 -1 1 -2 0 0 0 0 1] [-2 0 4 -2 0 1 -1 0 -1 -1 0 -1 0 2 -1 -1 -2 1 1 -1 0 0] [ 2 0 -2 4 1 -1 -1 -1 2 0 0 0 -1 0 0 2 2 -2 -2 2 -1 1] [ 2 -1 0 1 4 2 -2 -1 1 1 0 1 0 -1 -1 0 1 -1 -1 1 -1 1] [ 1 -1 1 -1 2 4 0 1 0 1 0 1 -1 -1 -1 -1 0 0 0 0 1 -1] [-1 1 -1 -1 -2 0 4 2 -1 0 1 1 1 -1 1 -1 -1 0 0 0 1 -1] [ 0 1 0 -1 -1 1 2 4 -1 1 0 1 -1 0 1 -1 -2 1 -1 -1 2 0] [ 1 1 -1 2 1 0 -1 -1 4 0 -1 0 -1 -1 -1 1 0 -1 0 1 0 1] [ 2 -2 -1 0 1 1 0 1 0 4 0 0 -1 -1 1 -1 1 0 -1 0 1 0] [-1 0 0 0 0 0 1 0 -1 0 4 -1 1 0 1 -1 1 -1 0 1 -1 -1] [ 1 1 -1 0 1 1 1 1 0 0 -1 4 1 -2 -1 0 -1 -1 0 1 0 0] [-1 1 0 -1 0 -1 1 -1 -1 -1 1 1 4 0 0 0 -1 0 1 0 -1 0] [-1 0 2 0 -1 -1 -1 0 -1 -1 0 -2 0 4 0 0 -1 1 0 -1 0 0] [ 0 -1 -1 0 -1 -1 1 1 -1 1 1 -1 0 0 4 -1 0 0 -1 -1 1 0] [ 1 1 -1 2 0 -1 -1 -1 1 -1 -1 0 0 0 -1 4 1 -1 -1 1 -1 1] [ 2 -2 -2 2 1 0 -1 -2 0 1 1 -1 -1 -1 0 1 6 -2 -1 2 -2 0] [-1 0 1 -2 -1 0 0 1 -1 0 -1 -1 0 1 0 -1 -2 4 1 -2 2 0] [-2 0 1 -2 -1 0 0 -1 0 -1 0 0 1 0 -1 -1 -1 1 4 -1 0 -1] [ 1 0 -1 2 1 0 0 -1 1 0 1 1 0 -1 -1 1 2 -2 -1 4 -1 0] [ 0 0 0 -1 -1 1 1 2 0 1 -1 0 -1 0 1 -1 -2 2 0 -1 4 -1] [ 0 1 0 1 1 -1 -1 0 1 0 -1 0 0 0 0 1 0 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 887. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 1 0 1 1 0 0 1 -1 -2 0 1 -2 -2 -1 0 0 1 0] [ 2 4 -2 -1 -1 1 0 1 0 0 -1 -1 -1 0 0 0 -1 0 -1 0 0 0] [-2 -2 4 1 1 -1 -1 0 1 -1 -1 0 1 1 -1 1 1 1 1 0 -1 1] [-2 -1 1 6 -3 0 -2 1 -2 -2 -3 1 1 -2 1 3 3 2 -1 -2 -2 1] [ 1 -1 1 -3 6 0 1 1 1 1 3 1 1 1 1 -3 0 -1 2 1 1 1] [ 0 1 -1 0 0 4 -1 1 -2 -1 -1 -1 -1 1 1 -1 -1 1 0 0 -1 -1] [ 1 0 -1 -2 1 -1 4 -2 1 2 3 -1 0 1 0 -2 0 -1 -1 0 1 -1] [ 1 1 0 1 1 1 -2 4 -1 -1 -1 1 0 -1 1 0 0 1 1 -1 -1 2] [ 0 0 1 -2 1 -2 1 -1 4 2 1 0 1 1 -2 -1 -1 0 1 0 0 1] [ 0 0 -1 -2 1 -1 2 -1 2 4 3 0 1 0 -1 -1 0 -1 0 0 1 0] [ 1 -1 -1 -3 3 -1 3 -1 1 3 6 1 0 1 1 -3 0 -1 0 0 1 0] [-1 -1 0 1 1 -1 -1 1 0 0 1 4 2 -1 1 0 1 0 1 0 0 2] [-2 -1 1 1 1 -1 0 0 1 1 0 2 4 -1 0 0 2 0 0 0 0 1] [ 0 0 1 -2 1 1 1 -1 1 0 1 -1 -1 4 0 -2 -1 1 1 1 -1 -1] [ 1 0 -1 1 1 1 0 1 -2 -1 1 1 0 0 4 -1 1 0 0 0 0 0] [-2 0 1 3 -3 -1 -2 0 -1 -1 -3 0 0 -2 -1 6 1 0 0 -1 0 0] [-2 -1 1 3 0 -1 0 0 -1 0 0 1 2 -1 1 1 6 0 -1 0 -1 0] [-1 0 1 2 -1 1 -1 1 0 -1 -1 0 0 1 0 0 0 4 0 -1 -2 1] [ 0 -1 1 -1 2 0 -1 1 1 0 0 1 0 1 0 0 -1 0 4 0 0 1] [ 0 0 0 -2 1 0 0 -1 0 0 0 0 0 1 0 -1 0 -1 0 4 2 -1] [ 1 0 -1 -2 1 -1 1 -1 0 1 1 0 0 -1 0 0 -1 -2 0 2 4 -1] [ 0 0 1 1 1 -1 -1 2 1 0 0 2 1 -1 0 0 0 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 888. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 -1 0 1 -1 2 2 1 2 0 0 -2 -2 0 0 1 2 0 1] [-1 4 0 2 -1 1 0 2 -2 -1 -1 0 1 -1 2 2 -1 0 -2 0 0 0] [-2 0 4 -1 2 0 -1 0 -2 -2 0 -2 -1 0 1 2 1 -1 -1 -2 1 0] [-1 2 -1 6 -3 1 -2 3 0 -1 -2 -2 3 -1 0 0 1 2 1 -1 -2 -1] [-1 -1 2 -3 6 -2 1 0 0 -1 1 1 -3 -1 0 0 -2 -1 -2 -1 1 2] [ 0 1 0 1 -2 4 1 1 0 0 -1 -2 1 1 0 2 0 -1 -1 0 1 0] [ 1 0 -1 -2 1 1 4 -1 0 0 0 2 -1 0 -1 1 -2 -1 -2 1 1 1] [-1 2 0 3 0 1 -1 4 0 -1 -1 -1 1 -1 0 1 0 1 -1 -1 -1 0] [ 2 -2 -2 0 0 0 0 0 4 2 0 1 0 0 -2 -2 0 0 2 1 0 1] [ 2 -1 -2 -1 -1 0 0 -1 2 4 0 1 0 1 0 -2 0 0 2 1 0 0] [ 1 -1 0 -2 1 -1 0 -1 0 0 4 1 -1 -1 -1 -1 0 1 -1 0 0 1] [ 2 0 -2 -2 1 -2 2 -1 1 1 1 6 0 -2 0 -2 -1 1 -1 2 -1 0] [ 0 1 -1 3 -3 1 -1 1 0 0 -1 0 4 -1 1 0 1 1 0 0 -1 -1] [ 0 -1 0 -1 -1 1 0 -1 0 1 -1 -2 -1 4 0 0 0 -1 2 1 1 -1] [-2 2 1 0 0 0 -1 0 -2 0 -1 0 1 0 6 2 -1 -1 -2 0 1 -1] [-2 2 2 0 0 2 1 1 -2 -2 -1 -2 0 0 2 6 0 -2 -3 -1 2 1] [ 0 -1 1 1 -2 0 -2 0 0 0 0 -1 1 0 -1 0 4 1 2 -1 -1 -1] [ 0 0 -1 2 -1 -1 -1 1 0 0 1 1 1 -1 -1 -2 1 4 1 0 -2 -1] [ 1 -2 -1 1 -2 -1 -2 -1 2 2 -1 -1 0 2 -2 -3 2 1 6 0 -1 -1] [ 2 0 -2 -1 -1 0 1 -1 1 1 0 2 0 1 0 -1 -1 0 0 4 1 0] [ 0 0 1 -2 1 1 1 -1 0 0 0 -1 -1 1 1 2 -1 -2 -1 1 4 1] [ 1 0 0 -1 2 0 1 0 1 0 1 0 -1 -1 -1 1 -1 -1 -1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 889. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -1 -1 1 1 0 1 1 1 1 2 1 -2 0 0 0 2 1 0] [-2 4 1 -1 0 0 1 -1 -1 -1 -2 0 1 -1 -1 1 0 0 -1 -1 -2 1] [ 0 1 4 -1 1 1 2 -2 -2 -1 -2 -1 1 0 0 0 1 0 0 1 -2 2] [ 1 -1 -1 4 -2 -2 0 0 0 1 2 2 -1 -1 -1 -2 1 0 -1 0 2 0] [-1 0 1 -2 4 2 -1 -1 1 -1 -1 -2 -1 1 1 0 0 -1 1 -1 0 0] [-1 0 1 -2 2 4 0 -1 -1 0 0 -2 0 0 1 2 1 0 2 -1 0 1] [ 1 1 2 0 -1 0 4 -1 -1 -1 -1 0 2 0 -1 -1 0 1 -1 2 -2 2] [ 1 -1 -2 0 -1 -1 -1 4 0 1 1 1 1 1 1 1 -1 -1 1 1 1 -2] [ 0 -1 -2 0 1 -1 -1 0 6 -2 -1 -1 -2 2 0 -2 -1 -1 -1 -2 0 0] [ 1 -1 -1 1 -1 0 -1 1 -2 4 3 1 0 -1 0 1 0 1 0 0 2 -1] [ 1 -2 -2 2 -1 0 -1 1 -1 3 6 0 0 -1 1 -1 -1 2 0 -1 4 -1] [ 1 0 -1 2 -2 -2 0 1 -1 1 0 4 0 0 -1 -1 0 0 0 1 0 -1] [ 1 1 1 -1 -1 0 2 1 -2 0 0 0 4 1 1 1 -1 1 0 1 -1 0] [ 2 -1 0 -1 1 0 0 1 2 -1 -1 0 1 4 2 -1 -1 -1 1 0 0 0] [ 1 -1 0 -1 1 1 -1 1 0 0 1 -1 1 2 4 1 -1 -1 2 0 2 0] [-2 1 0 -2 0 2 -1 1 -2 1 -1 -1 1 -1 1 6 0 -1 2 0 0 0] [ 0 0 1 1 0 1 0 -1 -1 0 -1 0 -1 -1 -1 0 4 -1 0 0 0 1] [ 0 0 0 0 -1 0 1 -1 -1 1 2 0 1 -1 -1 -1 -1 4 -1 0 0 0] [ 0 -1 0 -1 1 2 -1 1 -1 0 0 0 0 1 2 2 0 -1 4 0 1 0] [ 2 -1 1 0 -1 -1 2 1 -2 0 -1 1 1 0 0 0 0 0 0 6 0 0] [ 1 -2 -2 2 0 0 -2 1 0 2 4 0 -1 0 2 0 0 0 1 0 6 -1] [ 0 1 2 0 0 1 2 -2 0 -1 -1 -1 0 0 0 0 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 890. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -2 2 -2 -1 -1 -2 -1 0 2 1 2 -1 -1 -1 2 0 -1 -1 0] [ 2 6 2 -1 2 -3 2 -2 -1 1 -1 2 -1 3 1 -2 -2 1 2 -3 -1 2] [ 0 2 4 1 -1 -2 2 -1 1 0 0 1 -1 1 2 -1 -1 -1 2 0 -1 2] [-2 -1 1 4 -2 1 1 0 2 0 1 -2 -1 -2 1 0 0 -2 1 2 1 1] [ 2 2 -1 -2 4 0 -1 0 -2 1 -1 2 0 1 0 0 -1 2 0 -1 -1 0] [-2 -3 -2 1 0 4 -1 2 1 0 0 -2 0 -2 0 2 1 -1 -1 2 1 -1] [-1 2 2 1 -1 -1 4 0 1 0 0 -1 -2 0 2 0 0 -1 2 0 -1 2] [-1 -2 -1 0 0 2 0 4 0 -1 -1 0 0 -1 -1 1 2 0 0 2 -1 0] [-2 -1 1 2 -2 1 1 0 4 1 0 -1 0 -2 2 1 0 -2 1 2 1 1] [-1 1 0 0 1 0 0 -1 1 4 -1 0 -1 0 2 1 -1 0 0 -1 1 0] [ 0 -1 0 1 -1 0 0 -1 0 -1 4 -2 1 0 1 -1 1 0 0 1 0 0] [ 2 2 1 -2 2 -2 -1 0 -1 0 -2 6 1 2 0 -1 0 1 0 -2 -1 1] [ 1 -1 -1 -1 0 0 -2 0 0 -1 1 1 4 1 -1 -1 0 0 -1 0 0 0] [ 2 3 1 -2 1 -2 0 -1 -2 0 0 2 1 6 -1 -1 0 0 -1 -3 0 1] [-1 1 2 1 0 0 2 -1 2 2 1 0 -1 -1 6 0 0 0 1 1 -1 1] [-1 -2 -1 0 0 2 0 1 1 1 -1 -1 -1 -1 0 4 1 -1 -1 1 1 0] [-1 -2 -1 0 -1 1 0 2 0 -1 1 0 0 0 0 1 4 0 -1 1 0 0] [ 2 1 -1 -2 2 -1 -1 0 -2 0 0 1 0 0 0 -1 0 4 0 0 -1 -1] [ 0 2 2 1 0 -1 2 0 1 0 0 0 -1 -1 1 -1 -1 0 4 0 -1 2] [-1 -3 0 2 -1 2 0 2 2 -1 1 -2 0 -3 1 1 1 0 0 6 0 0] [-1 -1 -1 1 -1 1 -1 -1 1 1 0 -1 0 0 -1 1 0 -1 -1 0 4 -1] [ 0 2 2 1 0 -1 2 0 1 0 0 1 0 1 1 0 0 -1 2 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 891. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -2 -1 1 -1 -2 -2 1 0 -2 1 1 -1 1 0 1 0 0 0 -1] [-1 4 1 0 2 -1 0 1 2 0 1 -1 0 -2 1 0 -1 -2 -1 -1 -1 -1] [-2 1 4 2 0 -1 1 1 1 -1 1 2 -1 -1 0 -1 0 -1 0 -1 0 1] [-2 0 2 4 -1 -1 2 0 1 -2 0 2 -1 0 1 -2 -1 0 1 0 0 0] [-1 2 0 -1 6 1 1 2 0 1 1 0 2 -2 2 2 -2 -2 1 1 1 1] [ 1 -1 -1 -1 1 4 1 1 -2 1 -1 1 1 -1 0 1 -1 -1 1 0 0 1] [-1 0 1 2 1 1 4 0 -1 -1 0 1 1 0 2 -1 -2 0 2 0 0 0] [-2 1 1 0 2 1 0 4 0 0 0 2 -1 -2 1 0 0 -1 -1 0 0 2] [-2 2 1 1 0 -2 -1 0 4 -1 0 0 -1 -1 0 0 0 -1 -1 0 0 -1] [ 1 0 -1 -2 1 1 -1 0 -1 4 -1 -2 1 0 0 1 1 0 -1 -1 1 1] [ 0 1 1 0 1 -1 0 0 0 -1 4 -1 -1 0 0 -1 -1 0 1 1 0 0] [-2 -1 2 2 0 1 1 2 0 -2 -1 6 -1 -2 -1 0 0 -1 1 1 -1 1] [ 1 0 -1 -1 2 1 1 -1 -1 1 -1 -1 4 0 1 2 -1 -1 1 0 1 0] [ 1 -2 -1 0 -2 -1 0 -2 -1 0 0 -2 0 4 0 -1 1 2 0 0 1 0] [-1 1 0 1 2 0 2 1 0 0 0 -1 1 0 4 -1 -2 0 0 0 1 1] [ 1 0 -1 -2 2 1 -1 0 0 1 -1 0 2 -1 -1 4 0 -1 0 0 1 0] [ 0 -1 0 -1 -2 -1 -2 0 0 1 -1 0 -1 1 -2 0 4 1 -2 -1 0 0] [ 1 -2 -1 0 -2 -1 0 -1 -1 0 0 -1 -1 2 0 -1 1 4 0 1 1 0] [ 0 -1 0 1 1 1 2 -1 -1 -1 1 1 1 0 0 0 -2 0 4 1 0 0] [ 0 -1 -1 0 1 0 0 0 0 -1 1 1 0 0 0 0 -1 1 1 4 1 0] [ 0 -1 0 0 1 0 0 0 0 1 0 -1 1 1 1 1 0 1 0 1 4 1] [-1 -1 1 0 1 1 0 2 -1 1 0 1 0 0 1 0 0 0 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 892. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 2 1 0 -1 0 -1 1 0 0 1 2 2 2 1 -2 -1 -2] [-2 4 2 -1 1 -1 -1 1 0 0 1 0 1 0 1 -2 0 0 0 2 1 0] [-2 2 4 -1 2 0 -2 0 -1 0 0 -1 1 1 0 -2 -2 -2 1 0 1 0] [ 1 -1 -1 4 1 2 2 -1 -1 -1 0 1 -2 1 -1 -1 0 2 -1 -2 -2 1] [-1 1 2 1 4 0 -1 0 -2 0 0 1 -1 2 0 -1 -1 -1 -1 0 -1 0] [ 2 -1 0 2 0 4 0 0 -1 0 -1 1 -1 1 0 -1 0 2 1 -3 -1 -1] [ 1 -1 -2 2 -1 0 6 0 1 -1 1 1 0 -2 -2 0 0 1 1 0 -1 -1] [ 0 1 0 -1 0 0 0 4 -1 -1 -1 1 0 1 1 1 0 -1 -1 2 0 -2] [-1 0 -1 -1 -2 -1 1 -1 6 2 2 -1 1 -1 0 1 0 0 -1 1 0 1] [ 0 0 0 -1 0 0 -1 -1 2 4 0 0 1 0 0 1 1 1 1 -1 0 1] [-1 1 0 0 0 -1 1 -1 2 0 4 0 0 -1 -1 -1 0 -1 -1 1 0 1] [ 1 0 -1 1 1 1 1 1 -1 0 0 4 -2 0 1 -1 1 2 -1 -1 0 -2] [ 0 1 1 -2 -1 -1 0 0 1 1 0 -2 4 -1 0 1 0 -1 2 1 1 0] [ 0 0 1 1 2 1 -2 1 -1 0 -1 0 -1 4 1 1 0 -1 -2 0 -1 0] [ 1 1 0 -1 0 0 -2 1 0 0 -1 1 0 1 4 1 1 1 -1 0 1 -2] [ 2 -2 -2 -1 -1 -1 0 1 1 1 -1 -1 1 1 1 6 2 -1 -1 1 -1 0] [ 2 0 -2 0 -1 0 0 0 0 1 0 1 0 0 1 2 4 2 0 0 0 0] [ 2 0 -2 2 -1 2 1 -1 0 1 -1 2 -1 -1 1 -1 2 6 1 -2 0 0] [ 1 0 1 -1 -1 1 1 -1 -1 1 -1 -1 2 -2 -1 -1 0 1 6 -2 1 -1] [-2 2 0 -2 0 -3 0 2 1 -1 1 -1 1 0 0 1 0 -2 -2 6 1 0] [-1 1 1 -2 -1 -1 -1 0 0 0 0 0 1 -1 1 -1 0 0 1 1 4 -1] [-2 0 0 1 0 -1 -1 -2 1 1 1 -2 0 0 -2 0 0 0 -1 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 893. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 1 0 -2 -1 -2 0 -1 1 -2 0 -1 1 1 -1 -1 -2 -1 0] [-2 4 1 -1 1 1 2 1 2 1 -1 -1 1 1 0 -1 0 0 1 2 0 1] [ 0 1 4 1 2 1 1 2 1 -1 -2 -2 0 1 -2 -1 2 -1 1 2 1 2] [ 1 -1 1 4 -1 1 -1 1 -1 0 -1 -1 -1 -1 -1 -1 1 1 1 0 0 -1] [ 1 1 2 -1 6 -1 1 2 0 -2 0 0 -1 2 -2 -1 2 0 1 2 0 1] [ 0 1 1 1 -1 4 0 0 1 1 -1 -2 0 -1 0 -1 0 0 1 0 -1 0] [-2 2 1 -1 1 0 4 2 2 -1 0 -1 2 0 1 -1 -1 0 1 1 0 0] [-1 1 2 1 2 0 2 4 1 -2 0 -2 1 0 -1 -2 1 0 2 2 0 0] [-2 2 1 -1 0 1 2 1 4 0 -1 -1 1 1 1 0 0 0 0 2 1 1] [ 0 1 -1 0 -2 1 -1 -2 0 4 -1 0 -1 -1 0 1 -1 0 -1 0 0 0] [-1 -1 -2 -1 0 -1 0 0 -1 -1 4 0 1 -1 1 -1 -1 1 1 0 -1 -2] [ 1 -1 -2 -1 0 -2 -1 -2 -1 0 0 4 -1 1 1 2 -1 0 -2 -2 0 0] [-2 1 0 -1 -1 0 2 1 1 -1 1 -1 4 0 1 0 -1 0 1 1 0 0] [ 0 1 1 -1 2 -1 0 0 1 -1 -1 1 0 4 0 0 2 0 0 1 1 1] [-1 0 -2 -1 -2 0 1 -1 1 0 1 1 1 0 4 0 -2 1 -1 -2 0 -1] [ 1 -1 -1 -1 -1 -1 -1 -2 0 1 -1 2 0 0 0 4 -1 -1 -2 -1 1 1] [ 1 0 2 1 2 0 -1 1 0 -1 -1 -1 -1 2 -2 -1 4 0 1 2 1 1] [-1 0 -1 1 0 0 0 0 0 0 1 0 0 0 1 -1 0 4 0 1 1 -1] [-1 1 1 1 1 1 1 2 0 -1 1 -2 1 0 -1 -2 1 0 4 1 -1 -1] [-2 2 2 0 2 0 1 2 2 0 0 -2 1 1 -2 -1 2 1 1 6 2 1] [-1 0 1 0 0 -1 0 0 1 0 -1 0 0 1 0 1 1 1 -1 2 4 1] [ 0 1 2 -1 1 0 0 0 1 0 -2 0 0 1 -1 1 1 -1 -1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 894. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 1 2 1 0 -2 0 -1 -1 1 -1 1 -2 1 0 1 1 -1 0] [-2 4 2 1 0 -1 1 1 2 1 2 0 0 0 0 2 1 1 -2 -2 1 0] [-2 2 4 2 1 -1 -1 0 2 1 1 1 0 1 -1 1 -1 1 0 0 1 -1] [-1 1 2 4 2 1 1 0 1 -1 -1 -1 0 -1 -2 -1 1 2 0 0 -1 1] [ 1 0 1 2 6 2 0 1 1 -2 -2 -1 2 -2 -2 -3 0 3 0 1 -1 -1] [ 2 -1 -1 1 2 6 3 -1 -1 -2 -1 -2 1 -1 0 -3 3 1 1 2 -2 0] [ 1 1 -1 1 0 3 6 -1 -1 0 1 -3 1 -1 -1 -2 3 0 -1 1 -2 0] [ 0 1 0 0 1 -1 -1 4 0 0 -1 0 1 -1 1 2 -1 1 0 0 0 1] [-2 2 2 1 1 -1 -1 0 4 1 1 0 -1 1 -1 1 0 1 -2 -2 1 0] [ 0 1 1 -1 -2 -2 0 0 1 4 2 0 -1 2 1 2 0 -1 -1 -1 1 0] [-1 2 1 -1 -2 -1 1 -1 1 2 4 1 -1 1 1 1 1 -1 -1 -1 1 -1] [-1 0 1 -1 -1 -2 -3 0 0 0 1 4 0 0 1 1 -2 0 1 -1 1 -1] [ 1 0 0 0 2 1 1 1 -1 -1 -1 0 4 -1 0 -1 0 1 1 2 0 -1] [-1 0 1 -1 -2 -1 -1 -1 1 2 1 0 -1 4 0 2 -1 -1 0 0 2 -1] [ 1 0 -1 -2 -2 0 -1 1 -1 1 1 1 0 0 4 2 1 -1 1 0 1 1] [-2 2 1 -1 -3 -3 -2 2 1 2 1 1 -1 2 2 6 -1 -1 -1 -2 2 1] [ 1 1 -1 1 0 3 3 -1 0 0 1 -2 0 -1 1 -1 6 1 -1 0 -1 1] [ 0 1 1 2 3 1 0 1 1 -1 -1 0 1 -1 -1 -1 1 4 0 0 0 0] [ 1 -2 0 0 0 1 -1 0 -2 -1 -1 1 1 0 1 -1 -1 0 4 2 0 0] [ 1 -2 0 0 1 2 1 0 -2 -1 -1 -1 2 0 0 -2 0 0 2 6 0 -1] [-1 1 1 -1 -1 -2 -2 0 1 1 1 1 0 2 1 2 -1 0 0 0 4 -1] [ 0 0 -1 1 -1 0 0 1 0 0 -1 -1 -1 -1 1 1 1 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 895. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 1 -2 2 0 2 0 0 -2 2 1 1 -1 2 -2 1 -1 2 1] [-1 4 -2 2 -2 1 -1 0 1 -1 -1 2 0 0 1 0 -1 1 -2 0 1 1] [ 2 -2 4 -2 1 -1 0 -1 0 1 0 -1 2 0 0 0 0 -2 1 -1 1 -1] [-1 2 -2 4 -2 2 -1 0 -1 0 0 2 -2 1 0 0 -1 0 0 0 1 0] [ 1 -2 1 -2 4 -1 2 0 0 0 1 -2 1 0 0 0 1 -1 1 -1 -1 0] [-2 1 -1 2 -1 4 -2 0 -2 0 0 1 -1 -1 0 0 -2 0 0 0 -1 0] [ 2 -1 0 -1 2 -2 4 1 2 -1 0 -2 0 1 1 -1 2 -1 0 0 1 0] [ 0 0 -1 0 0 0 1 4 2 -2 -1 0 -2 0 1 1 0 0 -1 2 1 1] [ 2 1 0 -1 0 -2 2 2 6 -1 0 -1 1 1 1 0 1 0 -1 0 3 1] [ 0 -1 1 0 0 0 -1 -2 -1 4 0 1 0 1 -2 -1 1 0 2 -1 -1 -1] [ 0 -1 0 0 1 0 0 -1 0 0 4 -2 1 -1 0 1 0 0 1 0 -1 -1] [-2 2 -1 2 -2 1 -2 0 -1 1 -2 6 -3 0 -2 -1 -2 0 -1 0 1 0] [ 2 0 2 -2 1 -1 0 -2 1 0 1 -3 6 -1 2 0 1 -1 1 -1 0 1] [ 1 0 0 1 0 -1 1 0 1 1 -1 0 -1 4 -1 0 1 0 0 -1 2 0] [ 1 1 0 0 0 0 1 1 1 -2 0 -2 2 -1 4 0 0 -1 0 1 0 1] [-1 0 0 0 0 0 -1 1 0 -1 1 -1 0 0 0 4 0 1 -1 1 0 0] [ 2 -1 0 -1 1 -2 2 0 1 1 0 -2 1 1 0 0 4 0 1 0 0 1] [-2 1 -2 0 -1 0 -1 0 0 0 0 0 -1 0 -1 1 0 4 -1 1 -1 0] [ 1 -2 1 0 1 0 0 -1 -1 2 1 -1 1 0 0 -1 1 -1 4 -1 -1 0] [-1 0 -1 0 -1 0 0 2 0 -1 0 0 -1 -1 1 1 0 1 -1 4 0 0] [ 2 1 1 1 -1 -1 1 1 3 -1 -1 1 0 2 0 0 0 -1 -1 0 6 0] [ 1 1 -1 0 0 0 0 1 1 -1 -1 0 1 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 896. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 -1 0 1 -2 1 -2 1 0 -1 0 -1 1 -2 0 0 -1 -1 -2 0] [-1 4 -1 0 0 -2 2 -2 1 -1 0 2 0 0 -2 -1 -1 1 0 1 0 0] [-2 -1 6 0 2 -1 -1 0 0 1 -2 -1 2 2 -1 1 0 -2 0 0 -1 -2] [-1 0 0 4 1 -1 -1 1 2 0 -1 0 -2 -1 0 -1 1 -1 0 1 1 0] [ 0 0 2 1 4 0 0 0 0 1 -2 0 0 0 0 -2 1 0 -1 -1 -2 -2] [ 1 -2 -1 -1 0 4 1 0 0 1 0 0 -1 -1 1 0 1 1 -1 -2 -1 1] [-2 2 -1 -1 0 1 6 -3 2 0 0 3 0 -1 -1 1 1 3 -1 0 1 1] [ 1 -2 0 1 0 0 -3 4 0 0 0 -1 -1 1 1 0 1 -1 1 -1 0 -1] [-2 1 0 2 0 0 2 0 6 -1 -1 2 -1 0 -1 -1 0 1 -1 1 0 1] [ 1 -1 1 0 1 1 0 0 -1 4 -2 0 0 -1 -1 -1 2 0 -2 -1 -1 -1] [ 0 0 -2 -1 -2 0 0 0 -1 -2 4 0 0 1 1 1 -1 0 2 1 1 1] [-1 2 -1 0 0 0 3 -1 2 0 0 4 0 0 -2 -1 0 1 0 0 0 0] [ 0 0 2 -2 0 -1 0 -1 -1 0 0 0 4 1 0 0 -1 0 0 1 0 0] [-1 0 2 -1 0 -1 -1 1 0 -1 1 0 1 4 -1 1 -1 -1 1 0 0 -1] [ 1 -2 -1 0 0 1 -1 1 -1 -1 1 -2 0 -1 4 0 0 0 1 0 0 1] [-2 -1 1 -1 -2 0 1 0 -1 -1 1 -1 0 1 0 6 1 0 1 0 3 1] [ 0 -1 0 1 1 1 1 1 0 2 -1 0 -1 -1 0 1 4 1 -1 -1 1 0] [ 0 1 -2 -1 0 1 3 -1 1 0 0 1 0 -1 0 0 1 4 -1 0 1 1] [-1 0 0 0 -1 -1 -1 1 -1 -2 2 0 0 1 1 1 -1 -1 4 0 1 0] [-1 1 0 1 -1 -2 0 -1 1 -1 1 0 1 0 0 0 -1 0 0 4 2 1] [-2 0 -1 1 -2 -1 1 0 0 -1 1 0 0 0 0 3 1 1 1 2 6 1] [ 0 0 -2 0 -2 1 1 -1 1 -1 1 0 0 -1 1 1 0 1 0 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 897. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 0 0 -2 1 -2 1 0 -1 1 2 1 -1 -1 1 -1 1 -1 -1 2] [ 2 4 2 0 1 -2 1 -1 2 1 0 1 2 -1 0 -1 2 -1 1 -2 0 1] [ 2 2 4 1 1 -2 0 0 0 1 1 0 0 -1 -1 0 2 0 0 0 0 1] [ 0 0 1 4 -1 -1 -2 1 -2 -1 2 1 1 1 1 2 -1 0 0 -1 1 1] [ 0 1 1 -1 4 -1 0 -1 1 2 0 -1 -1 -2 -1 0 0 -1 0 1 -1 0] [-2 -2 -2 -1 -1 4 -1 1 0 -1 0 -1 -1 1 1 1 0 0 0 0 0 -2] [ 1 1 0 -2 0 -1 4 0 2 0 -2 1 1 0 0 -1 1 0 0 1 -1 0] [-2 -1 0 1 -1 1 0 4 -1 0 1 0 -1 0 1 1 1 1 -1 0 1 -1] [ 1 2 0 -2 1 0 2 -1 4 0 -1 1 1 0 0 -1 1 -1 0 0 -1 0] [ 0 1 1 -1 2 -1 0 0 0 4 -1 -1 -2 -2 -1 -1 0 -1 1 -1 1 1] [-1 0 1 2 0 0 -2 1 -1 -1 4 0 0 -1 1 1 1 1 -1 0 1 -1] [ 1 1 0 1 -1 -1 1 0 1 -1 0 4 1 2 1 0 -1 -1 -1 0 -1 1] [ 2 2 0 1 -1 -1 1 -1 1 -2 0 1 6 2 0 0 2 -1 0 -1 -1 0] [ 1 -1 -1 1 -2 1 0 0 0 -2 -1 2 2 6 1 0 -2 -2 -1 1 -1 1] [-1 0 -1 1 -1 1 0 1 0 -1 1 1 0 1 4 1 -1 -1 0 -1 1 0] [-1 -1 0 2 0 1 -1 1 -1 -1 1 0 0 0 1 4 0 0 0 0 0 0] [ 1 2 2 -1 0 0 1 1 1 0 1 -1 2 -2 -1 0 6 1 0 -1 0 -1] [-1 -1 0 0 -1 0 0 1 -1 -1 1 -1 -1 -2 -1 0 1 4 0 1 1 -1] [ 1 1 0 0 0 0 0 -1 0 1 -1 -1 0 -1 0 0 0 0 4 -3 1 1] [-1 -2 0 -1 1 0 1 0 0 -1 0 0 -1 1 -1 0 -1 1 -3 6 -1 -1] [-1 0 0 1 -1 0 -1 1 -1 1 1 -1 -1 -1 1 0 0 1 1 -1 4 0] [ 2 1 1 1 0 -2 0 -1 0 1 -1 1 0 1 0 0 -1 -1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 898. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 -2 -2 2 1 -2 2 0 0 2 1 2 -2 2 -1 1 0 0 0] [ 0 4 2 1 0 1 1 0 1 0 -1 -1 1 0 -2 1 0 -2 -1 1 1 1] [ 0 2 4 2 -1 1 -1 1 0 1 -1 0 0 -1 -2 1 1 -2 0 1 0 0] [ 0 1 2 4 1 2 -2 -1 0 -1 1 0 0 1 -1 2 -1 -1 0 -1 0 0] [-2 0 -1 1 4 2 -2 -2 1 -3 1 -1 0 1 0 2 -3 0 -1 -1 1 1] [-2 1 1 2 2 4 -2 -2 2 -2 1 -1 0 1 -2 2 -2 -1 -1 0 0 0] [ 2 1 -1 -2 -2 -2 6 0 1 3 -1 0 1 0 1 -2 3 0 1 2 1 0] [ 1 0 1 -1 -2 -2 0 6 0 1 -2 -1 0 0 2 -3 1 -1 2 0 1 -1] [-2 1 0 0 1 2 1 0 6 -2 -1 0 0 0 0 -1 -2 0 -1 2 1 1] [ 2 0 1 -1 -3 -2 3 1 -2 6 0 1 -1 -1 -1 0 3 0 1 1 0 -2] [ 0 -1 -1 1 1 1 -1 -2 -1 0 4 1 0 1 0 1 0 1 0 -1 -1 0] [ 0 -1 0 0 -1 -1 0 -1 0 1 1 4 -1 -2 -1 0 1 2 0 0 -1 0] [ 2 1 0 0 0 0 1 0 0 -1 0 -1 4 1 2 -2 1 -1 0 1 1 2] [ 1 0 -1 1 1 1 0 0 0 -1 1 -2 1 4 1 0 -1 -1 0 -1 1 0] [ 2 -2 -2 -1 0 -2 1 2 0 -1 0 -1 2 1 6 -4 0 0 2 0 0 1] [-2 1 1 2 2 2 -2 -3 -1 0 1 0 -2 0 -4 6 -1 0 -2 -1 0 0] [ 2 0 1 -1 -3 -2 3 1 -2 3 0 1 1 -1 0 -1 6 0 2 1 0 0] [-1 -2 -2 -1 0 -1 0 -1 0 0 1 2 -1 -1 0 0 0 4 0 0 0 0] [ 1 -1 0 0 -1 -1 1 2 -1 1 0 0 0 0 2 -2 2 0 4 -1 0 -1] [ 0 1 1 -1 -1 0 2 0 2 1 -1 0 1 -1 0 -1 1 0 -1 4 1 1] [ 0 1 0 0 1 0 1 1 1 0 -1 -1 1 1 0 0 0 0 0 1 4 0] [ 0 1 0 0 1 0 0 -1 1 -2 0 0 2 0 1 0 0 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 899. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 -1 -1 2 -1 2 2 1 -1 -2 0 0 0 -1 1 0 -1 -2 -1] [ 0 4 -2 2 0 -2 1 0 1 1 2 -2 1 0 -1 -2 -1 0 -2 0 0 1] [ 1 -2 4 -1 1 2 1 0 -1 -1 -1 2 -2 1 0 0 1 -1 2 1 0 -2] [ 1 2 -1 4 1 -2 0 -1 1 0 2 -1 -1 -1 -1 -1 -2 0 -2 0 0 0] [-1 0 1 1 4 1 0 1 0 -2 0 0 -1 -1 0 0 -1 -2 0 2 0 -1] [-1 -2 2 -2 1 4 -1 0 -2 -1 -1 2 -1 1 0 1 2 0 1 0 1 -1] [ 2 1 1 0 0 -1 6 2 3 0 0 -1 -2 0 -1 0 0 -2 0 2 -2 -1] [-1 0 0 -1 1 0 2 4 0 -2 -1 0 0 0 -1 1 0 -1 1 1 0 -1] [ 2 1 -1 1 0 -2 3 0 6 0 1 -2 -2 0 -1 -1 -2 -2 -1 2 -3 0] [ 2 1 -1 0 -2 -1 0 -2 0 6 2 -2 0 0 1 0 -1 3 -1 -3 -1 0] [ 1 2 -1 2 0 -1 0 -1 1 2 4 -2 -1 1 -1 -1 -2 0 -2 0 0 0] [-1 -2 2 -1 0 2 -1 0 -2 -2 -2 4 -1 0 0 1 2 0 1 0 1 -1] [-2 1 -2 -1 -1 -1 -2 0 -2 0 -1 -1 6 0 1 -1 1 0 1 0 1 2] [ 0 0 1 -1 -1 1 0 0 0 0 1 0 0 4 -1 -1 0 0 1 0 1 -1] [ 0 -1 0 -1 0 0 -1 -1 -1 1 -1 0 1 -1 4 1 0 0 0 -1 0 1] [ 0 -2 0 -1 0 1 0 1 -1 0 -1 1 -1 -1 1 4 1 1 0 -1 0 0] [-1 -1 1 -2 -1 2 0 0 -2 -1 -2 2 1 0 0 1 4 0 1 0 1 1] [ 1 0 -1 0 -2 0 -2 -1 -2 3 0 0 0 0 0 1 0 6 0 -4 1 0] [ 0 -2 2 -2 0 1 0 1 -1 -1 -2 1 1 1 0 0 1 0 4 0 0 -1] [-1 0 1 0 2 0 2 1 2 -3 0 0 0 0 -1 -1 0 -4 0 6 0 0] [-2 0 0 0 0 1 -2 0 -3 -1 0 1 1 1 0 0 1 1 0 0 4 0] [-1 1 -2 0 -1 -1 -1 -1 0 0 0 -1 2 -1 1 0 1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 900. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 -2 -2 1 2 0 2 -1 1 1 1 1 -1 -1 0 -2 0] [ 1 4 0 -1 2 1 0 0 1 0 -1 0 0 1 0 1 1 0 -1 -1 -1 1] [-1 0 4 -1 0 0 2 1 1 0 -1 0 2 1 -1 0 1 2 -1 -1 2 1] [ 1 -1 -1 4 -1 1 -2 0 0 1 2 1 0 0 1 -1 0 0 0 -1 -2 1] [ 1 2 0 -1 4 2 -1 0 1 1 -2 -1 0 0 -1 2 0 0 -1 0 -1 0] [ 2 1 0 1 2 4 -2 0 2 2 -1 1 0 0 1 1 0 0 -2 0 -2 0] [-2 0 2 -2 -1 -2 4 1 -1 -2 0 0 1 0 -1 -1 0 1 0 0 2 0] [-2 0 1 0 0 0 1 4 0 -1 -1 -1 1 0 -1 -1 -1 0 -1 -1 0 1] [ 1 1 1 0 1 2 -1 0 4 0 -1 1 1 0 1 2 0 1 0 -1 -1 1] [ 2 0 0 1 1 2 -2 -1 0 4 -1 0 0 1 1 0 1 -1 -1 0 0 -1] [ 0 -1 -1 2 -2 -1 0 -1 -1 -1 4 1 -1 0 1 -1 0 0 1 0 0 0] [ 2 0 0 1 -1 1 0 -1 1 0 1 4 -1 1 1 0 1 0 -1 0 -1 1] [-1 0 2 0 0 0 1 1 1 0 -1 -1 4 -1 -1 -1 -1 1 0 -2 1 0] [ 1 1 1 0 0 0 0 0 0 1 0 1 -1 4 0 0 1 -1 -1 -1 1 1] [ 1 0 -1 1 -1 1 -1 -1 1 1 1 1 -1 0 4 1 0 -1 1 1 0 0] [ 1 1 0 -1 2 1 -1 -1 2 0 -1 0 -1 0 1 4 0 0 1 1 0 1] [ 1 1 1 0 0 0 0 -1 0 1 0 1 -1 1 0 0 4 1 -1 0 0 1] [-1 0 2 0 0 0 1 0 1 -1 0 0 1 -1 -1 0 1 4 0 0 0 1] [-1 -1 -1 0 -1 -2 0 -1 0 -1 1 -1 0 -1 1 1 -1 0 4 0 1 0] [ 0 -1 -1 -1 0 0 0 -1 -1 0 0 0 -2 -1 1 1 0 0 0 4 1 -1] [-2 -1 2 -2 -1 -2 2 0 -1 0 0 -1 1 1 0 0 0 0 1 1 6 -1] [ 0 1 1 1 0 0 0 1 1 -1 0 1 0 1 0 1 1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 901. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 -2 -1 1 1 1 0 -1 1 1 0 1 0 2 0 2 0 0 -1] [-2 4 2 -2 2 0 -1 -1 0 1 1 0 -1 -1 -1 1 -1 0 -2 0 -1 0] [-2 2 4 0 2 1 -1 0 1 0 0 -1 -1 1 -1 0 -2 -1 -2 1 1 0] [ 2 -2 0 4 0 1 1 1 2 0 -2 1 1 1 0 -1 0 -1 0 1 1 -1] [-2 2 2 0 4 0 -1 -1 1 0 0 0 0 0 -2 1 -2 -1 -3 1 0 1] [-1 0 1 1 0 4 0 0 -1 0 -1 0 -1 0 0 -1 -1 0 -1 0 1 -1] [ 1 -1 -1 1 -1 0 4 2 1 -1 0 1 0 1 2 -2 2 1 2 -1 1 -1] [ 1 -1 0 1 -1 0 2 4 2 0 0 1 -1 2 2 -2 1 0 2 0 0 -2] [ 1 0 1 2 1 -1 1 2 6 1 0 2 0 0 1 0 -1 -1 1 1 1 -1] [ 0 1 0 0 0 0 -1 0 1 4 -1 1 1 -1 0 0 0 1 1 -1 -1 -1] [-1 1 0 -2 0 -1 0 0 0 -1 4 0 -2 -1 0 1 0 -1 -1 0 0 1] [ 1 0 -1 1 0 0 1 1 2 1 0 4 -1 0 0 0 1 -1 1 1 0 0] [ 1 -1 -1 1 0 -1 0 -1 0 1 -2 -1 4 0 0 0 0 1 1 -1 0 0] [ 0 -1 1 1 0 0 1 2 0 -1 -1 0 0 4 0 -2 0 -1 1 1 0 0] [ 1 -1 -1 0 -2 0 2 2 1 0 0 0 0 0 4 -2 1 2 3 -2 0 -2] [ 0 1 0 -1 1 -1 -2 -2 0 0 1 0 0 -2 -2 4 0 -1 -2 1 0 2] [ 2 -1 -2 0 -2 -1 2 1 -1 0 0 1 0 0 1 0 4 1 2 -1 0 0] [ 0 0 -1 -1 -1 0 1 0 -1 1 -1 -1 1 -1 2 -1 1 4 2 -2 0 -1] [ 2 -2 -2 0 -3 -1 2 2 1 1 -1 1 1 1 3 -2 2 2 6 -2 0 -1] [ 0 0 1 1 1 0 -1 0 1 -1 0 1 -1 1 -2 1 -1 -2 -2 4 1 1] [ 0 -1 1 1 0 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 1 4 0] [-1 0 0 -1 1 -1 -1 -2 -1 -1 1 0 0 0 -2 2 0 -1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 902. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 1 0 -1 1 1 1 -2 -1 1 0 -1 -1 0 0 -1 0 -1 0] [ 0 4 2 1 -2 1 0 -2 2 1 1 2 0 0 -1 -1 2 0 1 0 0 0] [ 1 2 4 0 -1 0 0 0 2 1 1 1 1 0 0 0 1 -1 1 1 -1 -1] [ 2 1 0 4 -1 1 -1 -1 1 0 0 1 1 0 -1 0 1 1 -1 -1 0 1] [ 1 -2 -1 -1 6 0 -2 1 -1 -2 -2 -3 1 -2 2 -1 -1 1 1 -1 0 -2] [ 0 1 0 1 0 4 1 -1 1 -1 0 2 -1 0 1 1 -1 -1 0 1 1 0] [-1 0 0 -1 -2 1 4 1 -1 1 0 2 -1 1 0 1 -1 -1 -1 1 0 1] [ 1 -2 0 -1 1 -1 1 4 -2 0 -1 -2 1 0 0 1 -2 0 -1 0 0 -1] [ 1 2 2 1 -1 1 -1 -2 4 1 0 1 0 0 0 0 1 -1 0 1 0 0] [ 1 1 1 0 -2 -1 1 0 1 4 0 1 -1 1 -1 0 1 -1 -1 1 0 0] [-2 1 1 0 -2 0 0 -1 0 0 4 1 0 0 0 1 1 0 1 0 1 0] [-1 2 1 1 -3 2 2 -2 1 1 1 6 -2 2 0 1 0 -2 -1 2 -1 1] [ 1 0 1 1 1 -1 -1 1 0 -1 0 -2 4 -2 0 0 0 2 1 -2 0 -1] [ 0 0 0 0 -2 0 1 0 0 1 0 2 -2 4 0 0 0 -1 -2 1 0 1] [-1 -1 0 -1 2 1 0 0 0 -1 0 0 0 0 4 1 -1 -1 0 0 1 -1] [-1 -1 0 0 -1 1 1 1 0 0 1 1 0 0 1 4 -1 -1 -1 1 1 0] [ 0 2 1 1 -1 -1 -1 -2 1 1 1 0 0 0 -1 -1 4 1 1 -1 0 1] [ 0 0 -1 1 1 -1 -1 0 -1 -1 0 -2 2 -1 -1 -1 1 4 1 -2 1 0] [-1 1 1 -1 1 0 -1 -1 0 -1 1 -1 1 -2 0 -1 1 1 4 -1 0 -1] [ 0 0 1 -1 -1 1 1 0 1 1 0 2 -2 1 0 1 -1 -2 -1 4 0 0] [-1 0 -1 0 0 1 0 0 0 0 1 -1 0 0 1 1 0 1 0 0 4 -1] [ 0 0 -1 1 -2 0 1 -1 0 0 0 1 -1 1 -1 0 1 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 903. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 1 1 2 0 1 1 1 1 0 -2 1 -2 0 1 1 0 1] [ 1 4 -2 2 -2 0 0 0 -1 0 0 -1 -1 0 -1 1 0 1 0 0 1 0] [-1 -2 4 0 1 -1 0 0 -1 0 0 0 0 -1 2 0 0 -1 -1 0 -1 0] [ 1 2 0 6 1 -1 1 2 -3 2 2 0 -1 -1 0 0 -2 -1 2 1 1 2] [-1 -2 1 1 6 -1 2 1 -1 2 2 2 1 -1 -1 0 0 -2 1 2 1 1] [ 1 0 -1 -1 -1 4 -1 1 2 -1 -1 -1 -1 -1 -2 -1 -1 2 1 -1 -1 -1] [ 1 0 0 1 2 -1 4 2 -2 2 2 2 0 1 -1 2 -1 -2 1 2 0 2] [ 2 0 0 2 1 1 2 4 -1 1 1 1 0 -1 -2 1 -2 -1 2 1 0 1] [ 0 -1 -1 -3 -1 2 -2 -1 4 -2 -1 -1 1 0 -1 -1 1 2 0 -1 0 -2] [ 1 0 0 2 2 -1 2 1 -2 4 2 2 1 1 -1 0 -1 -2 0 2 0 2] [ 1 0 0 2 2 -1 2 1 -1 2 4 1 1 1 -1 1 -1 -2 1 1 0 1] [ 1 -1 0 0 2 -1 2 1 -1 2 1 4 1 1 0 1 -1 -1 0 1 1 2] [ 1 -1 0 -1 1 -1 0 0 1 1 1 1 4 0 -1 0 0 -1 -1 1 1 0] [ 0 0 -1 -1 -1 -1 1 -1 0 1 1 1 0 4 1 1 1 -1 0 0 -1 1] [-2 -1 2 0 -1 -2 -1 -2 -1 -1 -1 0 -1 1 6 -1 0 0 -1 -2 0 1] [ 1 1 0 0 0 -1 2 1 -1 0 1 1 0 1 -1 4 1 -1 0 1 0 1] [-2 0 0 -2 0 -1 -1 -2 1 -1 -1 -1 0 1 0 1 4 0 -1 0 0 -1] [ 0 1 -1 -1 -2 2 -2 -1 2 -2 -2 -1 -1 -1 0 -1 0 4 0 -1 1 -1] [ 1 0 -1 2 1 1 1 2 0 0 1 0 -1 0 -1 0 -1 0 4 0 0 1] [ 1 0 0 1 2 -1 2 1 -1 2 1 1 1 0 -2 1 0 -1 0 4 1 1] [ 0 1 -1 1 1 -1 0 0 0 0 0 1 1 -1 0 0 0 1 0 1 4 0] [ 1 0 0 2 1 -1 2 1 -2 2 1 2 0 1 1 1 -1 -1 1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 904. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -2 1 1 -2 -1 -1 1 1 -1 -1 -2 1 -1 -2 -1 1 1 1 0] [-1 4 -1 0 0 -2 1 2 0 -2 1 0 0 -1 0 1 1 2 1 -2 -1 -1] [ 0 -1 4 -1 -1 0 0 1 1 1 1 1 1 -1 0 -2 -1 1 0 -1 -1 0] [-2 0 -1 4 -1 -1 0 -1 1 0 -1 -1 0 1 0 0 2 -1 0 1 1 -1] [ 1 0 -1 -1 4 2 -1 1 0 -1 0 0 1 -1 1 1 0 0 1 0 0 -1] [ 1 -2 0 -1 2 4 0 0 0 1 -1 0 1 1 0 0 -1 0 0 0 0 0] [-2 1 0 0 -1 0 4 2 0 0 0 0 0 2 -2 0 0 1 0 -1 -2 0] [-1 2 1 -1 1 0 2 6 -1 0 1 1 0 -2 1 1 -1 3 2 -3 -2 0] [-1 0 1 1 0 0 0 -1 4 -1 0 1 2 1 -1 -1 2 1 -1 -1 -1 -1] [ 1 -2 1 0 -1 1 0 0 -1 4 -1 -1 0 -1 0 -1 -2 0 0 0 1 1] [ 1 1 1 -1 0 -1 0 1 0 -1 4 1 -1 -1 0 -1 0 1 0 -1 -1 -1] [-1 0 1 -1 0 0 0 1 1 -1 1 4 0 0 0 1 1 1 -1 -1 -1 1] [-1 0 1 0 1 1 0 0 2 0 -1 0 4 1 -1 -1 1 2 -1 -2 0 0] [-2 -1 -1 1 -1 1 2 -2 1 -1 -1 0 1 6 -2 0 1 0 -2 0 0 0] [ 1 0 0 0 1 0 -2 1 -1 0 0 0 -1 -2 4 1 -1 -1 1 0 1 0] [-1 1 -2 0 1 0 0 1 -1 -1 -1 1 -1 0 1 4 1 0 0 0 0 1] [-2 1 -1 2 0 -1 0 -1 2 -2 0 1 1 1 -1 1 4 0 -1 0 0 0] [-1 2 1 -1 0 0 1 3 1 0 1 1 2 0 -1 0 0 6 0 -4 -1 0] [ 1 1 0 0 1 0 0 2 -1 0 0 -1 -1 -2 1 0 -1 0 4 0 0 -1] [ 1 -2 -1 1 0 0 -1 -3 -1 0 -1 -1 -2 0 0 0 0 -4 0 6 2 0] [ 1 -1 -1 1 0 0 -2 -2 -1 1 -1 -1 0 0 1 0 0 -1 0 2 4 0] [ 0 -1 0 -1 -1 0 0 0 -1 1 -1 1 0 0 0 1 0 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 905. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 2 0 -2 0 0 1 -1 1 1 -2 -2 0 -2 -1 0 0 1 -1] [ 0 4 -2 2 1 1 1 0 1 2 -2 2 -1 1 -1 0 -2 -2 -2 1 0 0] [ 0 -2 4 -2 1 -1 -1 0 -2 -1 1 -2 1 0 1 -1 1 2 1 0 -1 1] [ 0 2 -2 4 -1 2 1 -1 2 2 -2 2 -2 0 0 0 -2 -2 -2 0 0 0] [ 2 1 1 -1 6 -2 -2 2 -1 2 1 0 2 -1 -2 1 0 0 0 2 1 1] [ 0 1 -1 2 -2 4 2 -2 1 1 -1 1 -1 0 0 0 -1 -1 -1 0 0 0] [-2 1 -1 1 -2 2 4 0 0 0 0 0 -1 2 0 0 1 -1 -1 0 -1 1] [ 0 0 0 -1 2 -2 0 4 -1 -1 1 0 1 0 -1 1 0 0 1 1 0 1] [ 0 1 -2 2 -1 1 0 -1 4 0 0 1 -2 -1 0 0 0 0 0 -1 0 -1] [ 1 2 -1 2 2 1 0 -1 0 6 0 2 1 0 0 -1 0 -2 -2 1 1 1] [-1 -2 1 -2 1 -1 0 1 0 0 6 -2 2 0 0 1 3 2 2 -1 -1 2] [ 1 2 -2 2 0 1 0 0 1 2 -2 4 0 -1 -1 0 -2 -2 -2 0 1 0] [ 1 -1 1 -2 2 -1 -1 1 -2 1 2 0 4 0 -1 0 1 0 0 1 0 1] [-2 1 0 0 -1 0 2 0 -1 0 0 -1 0 4 1 -1 1 0 -1 1 -2 0] [-2 -1 1 0 -2 0 0 -1 0 0 0 -1 -1 1 4 -2 1 1 1 0 -1 0] [ 0 0 -1 0 1 0 0 1 0 -1 1 0 0 -1 -2 4 0 0 0 0 1 1] [-2 -2 1 -2 0 -1 1 0 0 0 3 -2 1 1 1 0 6 2 1 0 0 1] [-1 -2 2 -2 0 -1 -1 0 0 -2 2 -2 0 0 1 0 2 4 2 0 0 0] [ 0 -2 1 -2 0 -1 -1 1 0 -2 2 -2 0 -1 1 0 1 2 4 -1 0 0] [ 0 1 0 0 2 0 0 1 -1 1 -1 0 1 1 0 0 0 0 -1 4 1 0] [ 1 0 -1 0 1 0 -1 0 0 1 -1 1 0 -2 -1 1 0 0 0 1 4 -1] [-1 0 1 0 1 0 1 1 -1 1 2 0 1 0 0 1 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 906. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 -1 1 -2 -2 0 1 2 1 -1 1 -1 -2 -2 -2 -2 0 0] [ 0 4 -1 -1 1 2 2 0 1 1 1 -1 1 1 1 1 1 0 1 1 0 2] [ 1 -1 4 0 0 0 1 -1 0 -1 1 0 1 -1 -1 1 -2 -1 0 0 1 0] [ 2 -1 0 4 -2 -1 -1 -1 -2 0 0 1 0 0 1 0 -1 -2 -1 -2 -1 0] [-2 1 0 -2 4 2 1 2 2 0 0 -1 -1 0 -1 1 2 0 1 2 0 1] [-1 2 0 -1 2 4 2 1 1 0 0 -2 1 0 1 2 1 0 2 1 0 2] [ 1 2 1 -1 1 2 4 -1 0 0 1 -1 1 -1 1 1 0 -1 0 0 0 2] [-2 0 -1 -1 2 1 -1 4 1 -1 0 0 -1 1 0 0 2 1 1 1 -1 0] [-2 1 0 -2 2 1 0 1 4 1 1 -2 0 1 -1 1 1 1 1 2 0 1] [ 0 1 -1 0 0 0 0 -1 1 4 -1 -1 0 1 0 0 1 0 0 1 1 1] [ 1 1 1 0 0 0 1 0 1 -1 4 1 1 1 1 0 0 0 0 -1 0 0] [ 2 -1 0 1 -1 -2 -1 0 -2 -1 1 6 1 1 1 -3 -1 -1 -2 -2 1 -2] [ 1 1 1 0 -1 1 1 -1 0 0 1 1 4 0 2 0 -1 -1 1 0 1 1] [-1 1 -1 0 0 0 -1 1 1 1 1 1 0 4 0 0 1 1 0 0 1 0] [ 1 1 -1 1 -1 1 1 0 -1 0 1 1 2 0 4 -1 0 -1 1 -1 -1 1] [-1 1 1 0 1 2 1 0 1 0 0 -3 0 0 -1 4 1 0 1 1 0 2] [-2 1 -2 -1 2 1 0 2 1 1 0 -1 -1 1 0 1 4 1 1 1 0 1] [-2 0 -1 -2 0 0 -1 1 1 0 0 -1 -1 1 -1 0 1 4 1 1 1 -1] [-2 1 0 -1 1 2 0 1 1 0 0 -2 1 0 1 1 1 1 4 1 0 1] [-2 1 0 -2 2 1 0 1 2 1 -1 -2 0 0 -1 1 1 1 1 4 1 1] [ 0 0 1 -1 0 0 0 -1 0 1 0 1 1 1 -1 0 0 1 0 1 4 -1] [ 0 2 0 0 1 2 2 0 1 1 0 -2 1 0 1 2 1 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 907. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 -2 1 1 2 2 -1 1 2 -1 1 -1 2 -2 1 -1 -2] [ 1 4 -2 0 0 -2 -2 1 0 0 2 1 0 0 0 -1 1 1 0 0 -1 1] [-1 -2 4 0 0 1 1 -1 0 0 0 0 1 0 1 0 0 0 1 0 1 0] [ 1 0 0 4 2 -2 -2 0 2 2 2 -2 1 1 -2 2 -1 0 1 2 0 1] [ 2 0 0 2 4 -1 -1 0 1 1 1 -1 2 2 -1 1 -2 0 -1 1 0 -1] [-1 -2 1 -2 -1 4 1 -1 -2 -1 -1 0 0 -1 1 0 1 -1 -1 -1 0 -1] [-2 -2 1 -2 -1 1 6 -2 0 -2 -2 1 -2 0 1 -2 -1 -1 0 0 0 1] [ 1 1 -1 0 0 -1 -2 4 0 0 0 -1 -1 0 -1 1 1 0 0 -1 0 -1] [ 1 0 0 2 1 -2 0 0 4 2 0 0 -1 2 -2 0 -1 0 1 2 0 0] [ 2 0 0 2 1 -1 -2 0 2 4 1 0 1 1 -1 1 0 1 0 1 -1 0] [ 2 2 0 2 1 -1 -2 0 0 1 6 -2 2 0 -1 1 0 2 -1 1 -2 0] [-1 1 0 -2 -1 0 1 -1 0 0 -2 6 1 0 1 -1 0 -1 1 -1 -1 1] [ 1 0 1 1 2 0 -2 -1 -1 1 2 1 6 1 1 1 -2 0 -1 -1 -1 0] [ 2 0 0 1 2 -1 0 0 2 1 0 0 1 4 -1 0 -2 0 -1 1 0 0] [-1 0 1 -2 -1 1 1 -1 -2 -1 -1 1 1 -1 4 -1 0 0 0 -1 1 0] [ 1 -1 0 2 1 0 -2 1 0 1 1 -1 1 0 -1 4 -1 0 0 1 0 -1] [-1 1 0 -1 -2 1 -1 1 -1 0 0 0 -2 -2 0 -1 4 0 1 -1 0 1] [ 2 1 0 0 0 -1 -1 0 0 1 2 -1 0 0 0 0 0 4 -1 1 0 -1] [-2 0 1 1 -1 -1 0 0 1 0 -1 1 -1 -1 0 0 1 -1 4 0 1 2] [ 1 0 0 2 1 -1 0 -1 2 1 1 -1 -1 1 -1 1 -1 1 0 4 1 0] [-1 -1 1 0 0 0 0 0 0 -1 -2 -1 -1 0 1 0 0 0 1 1 4 -1] [-2 1 0 1 -1 -1 1 -1 0 0 0 1 0 0 0 -1 1 -1 2 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 908. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 -1 1 -1 1 -1 0 -1 -2 -1 -1 2 2 1 1 -1 0 -1 -1] [-1 4 -1 -1 -1 1 2 -2 -1 1 2 2 1 0 -1 -1 -1 1 1 1 1 1] [-2 -1 4 -1 2 -2 1 0 0 0 1 0 1 0 -1 -2 -1 -1 -1 0 0 1] [ 1 -1 -1 4 -1 1 0 0 1 0 -1 -2 0 -1 -1 0 0 1 0 0 -1 0] [-1 -1 2 -1 4 -2 0 0 0 1 0 -1 1 0 0 0 -1 -1 0 1 -1 0] [ 1 1 -2 1 -2 4 0 1 1 1 0 1 -1 1 -1 0 1 1 1 1 1 1] [-1 2 1 0 0 0 4 -2 0 0 2 1 2 -1 -1 -2 -2 0 0 0 0 2] [ 1 -2 0 0 0 1 -2 4 1 0 -1 -1 -1 1 1 1 1 -1 -1 0 0 0] [-1 -1 0 1 0 1 0 1 4 0 -1 0 0 0 -1 0 0 0 0 0 1 1] [ 0 1 0 0 1 1 0 0 0 4 0 1 1 1 -1 0 -1 0 0 2 0 0] [-1 2 1 -1 0 0 2 -1 -1 0 4 0 0 -1 0 -1 -1 1 1 0 0 2] [-2 2 0 -2 -1 1 1 -1 0 1 0 6 0 3 -1 -2 -1 -1 1 1 1 0] [-1 1 1 0 1 -1 2 -1 0 1 0 0 4 -1 -1 -1 -1 -1 -1 0 0 1] [-1 0 0 -1 0 1 -1 1 0 1 -1 3 -1 4 -1 -1 0 -1 1 1 1 -1] [ 2 -1 -1 -1 0 -1 -1 1 -1 -1 0 -1 -1 -1 4 2 0 0 -1 -1 -1 -1] [ 2 -1 -2 0 0 0 -2 1 0 0 -1 -2 -1 -1 2 4 1 0 0 0 0 -1] [ 1 -1 -1 0 -1 1 -2 1 0 -1 -1 -1 -1 0 0 1 4 0 1 -1 0 -1] [ 1 1 -1 1 -1 1 0 -1 0 0 1 -1 -1 -1 0 0 0 4 0 0 0 1] [-1 1 -1 0 0 1 0 -1 0 0 1 1 -1 1 -1 0 1 0 4 0 0 0] [ 0 1 0 0 1 1 0 0 0 2 0 1 0 1 -1 0 -1 0 0 4 1 0] [-1 1 0 -1 -1 1 0 0 1 0 0 1 0 1 -1 0 0 0 0 1 4 0] [-1 1 1 0 0 1 2 0 1 0 2 0 1 -1 -1 -1 -1 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 909. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 1 1 1 1 2 1 1 0 -2 2 0 0 1 1 1 -1 -2 0] [-2 4 2 1 0 -2 0 0 -1 0 -1 1 2 -2 0 -1 -1 -1 -2 2 2 0] [-2 2 4 2 -1 -1 0 -1 -1 0 -1 0 2 0 1 -1 -1 -1 -2 2 0 0] [-1 1 2 4 1 -2 0 1 1 0 1 0 1 0 -1 1 1 1 -1 1 0 0] [ 1 0 -1 1 4 -2 -1 1 1 1 1 1 0 1 0 2 2 0 -1 1 -1 -1] [ 1 -2 -1 -2 -2 4 0 -1 0 -1 0 -1 -1 1 1 -1 -1 1 1 -2 -1 1] [ 1 0 0 0 -1 0 4 0 2 1 -1 -1 -1 1 0 0 0 0 0 1 -1 -1] [ 1 0 -1 1 1 -1 0 4 2 1 1 1 0 0 -2 0 0 1 1 0 0 1] [ 2 -1 -1 1 1 0 2 2 6 2 1 -1 -1 1 -1 2 2 2 0 1 -1 -1] [ 1 0 0 0 1 -1 1 1 2 4 0 0 0 2 1 0 0 -1 0 1 -2 0] [ 1 -1 -1 1 1 0 -1 1 1 0 4 -1 -1 1 -1 1 0 2 1 0 -1 1] [ 0 1 0 0 1 -1 -1 1 -1 0 -1 4 0 0 -1 -1 1 0 0 1 0 1] [-2 2 2 1 0 -1 -1 0 -1 0 -1 0 4 -2 1 -1 -1 -1 -2 0 1 0] [ 2 -2 0 0 1 1 1 0 1 2 1 0 -2 6 1 0 0 0 0 1 -4 1] [ 0 0 1 -1 0 1 0 -2 -1 1 -1 -1 1 1 4 -1 -1 -2 -1 0 -1 -1] [ 0 -1 -1 1 2 -1 0 0 2 0 1 -1 -1 0 -1 4 2 1 0 1 0 -2] [ 1 -1 -1 1 2 -1 0 0 2 0 0 1 -1 0 -1 2 4 1 0 0 0 -1] [ 1 -1 -1 1 0 1 0 1 2 -1 2 0 -1 0 -2 1 1 4 1 0 0 1] [ 1 -2 -2 -1 -1 1 0 1 0 0 1 0 -2 0 -1 0 0 1 4 -2 0 1] [-1 2 2 1 1 -2 1 0 1 1 0 1 0 1 0 1 0 0 -2 6 0 -1] [-2 2 0 0 -1 -1 -1 0 -1 -2 -1 0 1 -4 -1 0 0 0 0 0 6 -1] [ 0 0 0 0 -1 1 -1 1 -1 0 1 1 0 1 -1 -2 -1 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 910. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 2 0 0 -1 -1 1 2 -2 -1 0 -1 -1 1 0 2] [ 1 4 -1 -2 0 2 2 1 -1 1 0 1 1 1 -2 0 1 -2 -2 2 1 1] [-1 -1 4 0 1 0 0 0 -1 1 -1 0 -1 0 2 -1 -2 0 0 0 1 0] [-1 -2 0 4 -1 -1 0 -1 1 -1 -1 0 -1 -2 1 -1 -1 1 2 -1 0 0] [ 1 0 1 -1 4 0 0 2 -1 0 -1 -1 -1 1 0 0 -1 0 0 0 0 0] [ 1 2 0 -1 0 4 0 2 -1 2 -1 0 0 0 -1 -1 0 -1 -2 1 1 1] [ 1 2 0 0 0 0 4 0 -1 0 -1 0 0 1 -1 0 0 -1 -1 1 0 2] [ 2 1 0 -1 2 2 0 4 0 0 -1 -1 0 1 -1 0 -1 0 -1 0 1 1] [ 0 -1 -1 1 -1 -1 -1 0 4 -1 1 -1 1 0 0 0 1 0 1 0 -1 0] [ 0 1 1 -1 0 2 0 0 -1 4 -1 1 -1 -1 -1 0 -1 -1 -2 1 1 1] [-1 0 -1 -1 -1 -1 -1 -1 1 -1 4 1 2 0 0 1 1 1 0 -1 -1 -2] [-1 1 0 0 -1 0 0 -1 -1 1 1 4 0 -1 -1 0 0 -1 0 1 1 -1] [ 1 1 -1 -1 -1 0 0 0 1 -1 2 0 4 1 -1 0 1 -1 -1 0 0 0] [ 2 1 0 -2 1 0 1 1 0 -1 0 -1 1 4 -1 0 1 -1 -1 1 0 1] [-2 -2 2 1 0 -1 -1 -1 0 -1 0 -1 -1 -1 4 -1 -1 1 2 -1 -1 -1] [-1 0 -1 -1 0 -1 0 0 0 0 1 0 0 0 -1 4 1 1 -1 -1 0 0] [ 0 1 -2 -1 -1 0 0 -1 1 -1 1 0 1 1 -1 1 4 -1 0 1 -1 0] [-1 -2 0 1 0 -1 -1 0 0 -1 1 -1 -1 -1 1 1 -1 4 1 -2 0 -1] [-1 -2 0 2 0 -2 -1 -1 1 -2 0 0 -1 -1 2 -1 0 1 4 -1 -1 -1] [ 1 2 0 -1 0 1 1 0 0 1 -1 1 0 1 -1 -1 1 -2 -1 4 1 1] [ 0 1 1 0 0 1 0 1 -1 1 -1 1 0 0 -1 0 -1 0 -1 1 4 0] [ 2 1 0 0 0 1 2 1 0 1 -2 -1 0 1 -1 0 0 -1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 911. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 1 -1 2 1 1 -2 -2 0 -1 -1 1 -1 1 2 1 1 0 1] [-2 4 2 1 -2 0 -2 -1 1 1 2 0 0 -1 1 -1 0 -1 -1 0 1 -1] [-2 2 4 2 -2 1 -2 0 -1 2 2 -1 0 -1 1 1 -1 -2 -2 0 0 0] [-1 1 2 4 -1 -1 -1 0 1 1 1 1 0 -2 -1 2 -2 -1 -1 0 0 0] [ 1 -2 -2 -1 4 -1 0 1 1 -2 -1 1 1 1 -1 -1 0 1 1 1 -1 -1] [-1 0 1 -1 -1 4 1 1 -2 1 0 -2 0 2 1 0 1 -1 -1 -1 0 0] [ 2 -2 -2 -1 0 1 6 1 -1 -2 -1 0 -2 0 0 -1 0 2 2 -1 1 1] [ 1 -1 0 0 1 1 1 4 1 -2 -1 -1 1 -1 1 1 1 0 -1 1 -1 1] [ 1 1 -1 1 1 -2 -1 1 6 -3 -1 2 0 -3 0 -1 -1 2 1 0 -1 0] [-2 1 2 1 -2 1 -2 -2 -3 6 1 -2 1 1 -1 2 0 -3 -2 0 0 -1] [-2 2 2 1 -1 0 -1 -1 -1 1 4 0 -1 -1 0 0 -1 -1 -1 -1 0 -1] [ 0 0 -1 1 1 -2 0 -1 2 -2 0 4 0 0 -1 0 -2 1 2 0 0 -1] [-1 0 0 0 1 0 -2 1 0 1 -1 0 4 1 0 1 1 -1 -1 2 0 0] [-1 -1 -1 -2 1 2 0 -1 -3 1 -1 0 1 6 -1 0 1 -1 0 0 1 -1] [ 1 1 1 -1 -1 1 0 1 0 -1 0 -1 0 -1 4 -2 1 0 0 1 0 1] [-1 -1 1 2 -1 0 -1 1 -1 2 0 0 1 0 -2 6 0 -2 -2 0 -1 1] [ 1 0 -1 -2 0 1 0 1 -1 0 -1 -2 1 1 1 0 4 0 -1 1 1 1] [ 2 -1 -2 -1 1 -1 2 0 2 -3 -1 1 -1 -1 0 -2 0 4 2 0 1 1] [ 1 -1 -2 -1 1 -1 2 -1 1 -2 -1 2 -1 0 0 -2 -1 2 4 -1 0 0] [ 1 0 0 0 1 -1 -1 1 0 0 -1 0 2 0 1 0 1 0 -1 4 1 0] [ 0 1 0 0 -1 0 1 -1 -1 0 0 0 0 1 0 -1 1 1 0 1 4 0] [ 1 -1 0 0 -1 0 1 1 0 -1 -1 -1 0 -1 1 1 1 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 912. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 2 0 -2 -1 -2 -1 1 0 -2 -2 -1 1 -1 -2 0 -2 -1 1] [-1 6 -3 1 1 1 0 1 2 -1 -1 0 -2 3 -2 2 -1 1 1 0 2 1] [ 2 -3 6 -2 1 1 0 1 -1 -1 -1 0 1 -3 1 -1 -1 -2 -2 0 -1 1] [ 0 1 -2 4 0 -1 0 -2 0 -1 2 -1 -1 1 0 2 -1 2 0 -2 0 1] [ 2 1 1 0 4 1 0 0 0 -2 -1 1 -2 -1 -1 0 -2 -1 1 -1 -1 2] [ 0 1 1 -1 1 4 1 0 0 -1 -2 -1 1 0 0 0 0 1 -1 -1 0 1] [-2 0 0 0 0 1 4 0 0 -1 -1 0 1 1 2 -1 0 2 0 0 1 0] [-1 1 1 -2 0 0 0 4 2 1 -2 1 0 0 0 -1 0 -2 0 3 0 0] [-2 2 -1 0 0 0 0 2 4 1 -1 0 1 1 0 -1 -1 0 1 2 0 1] [-1 -1 -1 -1 -2 -1 -1 1 1 4 0 0 2 0 0 -1 2 0 1 1 0 -1] [ 1 -1 -1 2 -1 -2 -1 -2 -1 0 4 0 -1 0 0 1 0 0 0 -1 0 0] [ 0 0 0 -1 1 -1 0 1 0 0 0 4 -2 0 0 -1 1 -2 1 2 -1 0] [-2 -2 1 -1 -2 1 1 0 1 2 -1 -2 6 0 1 -2 1 1 0 1 0 -1] [-2 3 -3 1 -1 0 1 0 1 0 0 0 0 4 0 1 0 2 1 0 2 -1] [-1 -2 1 0 -1 0 2 0 0 0 0 0 1 0 4 -1 0 0 -1 0 0 0] [ 1 2 -1 2 0 0 -1 -1 -1 -1 1 -1 -2 1 -1 4 0 1 -1 -2 1 1] [-1 -1 -1 -1 -2 0 0 0 -1 2 0 1 1 0 0 0 4 0 0 1 0 -1] [-2 1 -2 2 -1 1 2 -2 0 0 0 -2 1 2 0 1 0 6 0 -2 2 0] [ 0 1 -2 0 1 -1 0 0 1 1 0 1 0 1 -1 -1 0 0 4 0 0 0] [-2 0 0 -2 -1 -1 0 3 2 1 -1 2 1 0 0 -2 1 -2 0 6 0 -1] [-1 2 -1 0 -1 0 1 0 0 0 0 -1 0 2 0 1 0 2 0 0 4 -1] [ 1 1 1 1 2 1 0 0 1 -1 0 0 -1 -1 0 1 -1 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 913. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 0 2 -1 -2 -1 -1 -1 0 -1 0 -1 0 1 1 1 0] [ 1 4 -2 -1 2 0 0 -1 1 -2 -2 0 0 0 0 0 0 0 0 2 0 0] [-1 -2 4 0 -2 0 1 1 0 0 2 -1 0 -1 1 0 0 0 -1 0 0 -1] [ 1 -1 0 4 -1 0 0 2 -2 0 1 1 -1 -1 -2 0 -1 -1 -1 -2 1 1] [ 1 2 -2 -1 4 1 0 0 0 -1 -1 1 1 1 1 -1 1 0 1 2 -1 1] [ 2 0 0 0 1 4 -1 0 0 -2 1 -1 1 1 1 1 -1 1 0 0 1 -1] [ 0 0 1 0 0 -1 4 1 -1 0 1 -1 -2 -2 0 -1 0 1 -1 0 0 -1] [ 2 -1 1 2 0 0 1 6 -3 0 0 1 -2 -1 0 -2 1 -2 1 -1 -1 0] [-1 1 0 -2 0 0 -1 -3 4 0 -1 -1 2 0 1 1 0 0 0 1 0 0] [-2 -2 0 0 -1 -2 0 0 0 4 0 1 0 0 0 -1 1 -1 0 -2 -1 1] [-1 -2 2 1 -1 1 1 0 -1 0 4 0 0 -1 0 1 0 1 -1 -1 0 -1] [-1 0 -1 1 1 -1 -1 1 -1 1 0 4 1 1 0 -1 2 -1 1 0 -2 1] [-1 0 0 -1 1 1 -2 -2 2 0 0 1 4 2 1 0 0 0 1 1 0 0] [ 0 0 -1 -1 1 1 -2 -1 0 0 -1 1 2 4 1 0 0 0 1 1 0 0] [-1 0 1 -2 1 1 0 0 1 0 0 0 1 1 4 -1 1 0 0 0 -1 -1] [ 0 0 0 0 -1 1 -1 -2 1 -1 1 -1 0 0 -1 4 0 1 -1 0 1 0] [-1 0 0 -1 1 -1 0 1 0 1 0 2 0 0 1 0 4 -1 1 1 -2 1] [ 0 0 0 -1 0 1 1 -2 0 -1 1 -1 0 0 0 1 -1 4 0 1 1 -2] [ 1 0 -1 -1 1 0 -1 1 0 0 -1 1 1 1 0 -1 1 0 4 1 -1 0] [ 1 2 0 -2 2 0 0 -1 1 -2 -1 0 1 1 0 0 1 1 1 6 0 0] [ 1 0 0 1 -1 1 0 -1 0 -1 0 -2 0 0 -1 1 -2 1 -1 0 4 -1] [ 0 0 -1 1 1 -1 -1 0 0 1 -1 1 0 0 -1 0 1 -2 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 914. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 0 1 2 -1 1 2 -1 -1 -2 -1 2 1 1 1 -1 1] [ 1 4 -1 -2 0 0 0 2 0 0 -1 -1 0 -1 -2 0 -1 0 0 2 -1 -1] [-1 -1 4 1 -1 0 1 1 -2 2 0 -1 -1 0 2 0 1 -1 1 0 1 -1] [-1 -2 1 4 -1 0 1 -2 0 0 0 0 0 1 2 1 -1 0 -1 -2 0 0] [ 1 0 -1 -1 4 -1 -2 0 1 -2 -1 1 1 -1 -2 -1 0 2 1 0 1 2] [ 1 0 0 0 -1 4 -1 0 1 1 2 1 0 -1 -1 1 1 1 1 0 0 -1] [ 0 0 1 1 -2 -1 4 0 0 0 0 0 -1 0 1 -1 1 -1 0 0 -1 0] [ 1 2 1 -2 0 0 0 4 0 1 0 -1 0 0 0 -1 0 -1 0 2 0 -1] [ 2 0 -2 0 1 1 0 0 4 -2 1 2 0 0 -2 -1 0 1 0 0 -1 1] [-1 0 2 0 -2 1 0 1 -2 4 0 -1 -1 1 2 1 1 -2 0 0 1 -1] [ 1 -1 0 0 -1 2 0 0 1 0 4 2 -1 -1 -1 0 2 0 1 -1 -1 0] [ 2 -1 -1 0 1 1 0 -1 2 -1 2 4 -1 -1 -2 -1 2 1 1 -1 0 2] [-1 0 -1 0 1 0 -1 0 0 -1 -1 -1 4 0 1 1 -2 1 -1 0 0 0] [-1 -1 0 1 -1 -1 0 0 0 1 -1 -1 0 4 3 1 -2 -2 -2 0 0 -1] [-2 -2 2 2 -2 -1 1 0 -2 2 -1 -2 1 3 6 1 -1 -2 -2 -1 1 -1] [-1 0 0 1 -1 1 -1 -1 -1 1 0 -1 1 1 1 4 -1 -1 0 0 -1 -1] [ 2 -1 1 -1 0 1 1 0 0 1 2 2 -2 -2 -1 -1 6 0 3 0 0 2] [ 1 0 -1 0 2 1 -1 -1 1 -2 0 1 1 -2 -2 -1 0 4 1 0 1 1] [ 1 0 1 -1 1 1 0 0 0 0 1 1 -1 -2 -2 0 3 1 4 0 0 1] [ 1 2 0 -2 0 0 0 2 0 0 -1 -1 0 0 -1 0 0 0 0 4 0 -1] [-1 -1 1 0 1 0 -1 0 -1 1 -1 0 0 0 1 -1 0 1 0 0 4 0] [ 1 -1 -1 0 2 -1 0 -1 1 -1 0 2 0 -1 -1 -1 2 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 915. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -2 -2 0 -1 1 1 0 0 0 1 -1 0 1 1 0 -1 0 1 0] [ 2 4 2 -2 -2 -1 0 1 0 -1 1 -1 1 -1 0 2 1 0 0 0 1 0] [ 2 2 4 -2 -2 1 1 1 1 -1 1 1 1 -2 -1 1 2 -1 1 -1 2 -1] [-2 -2 -2 4 2 -1 0 -2 -1 0 0 0 -1 1 0 -1 -2 -1 -1 -1 -2 -1] [-2 -2 -2 2 4 -1 -1 -2 -1 1 -1 1 -1 2 1 0 -1 1 -1 -1 -2 1] [ 0 -1 1 -1 -1 4 1 0 0 -1 0 1 0 -2 -1 -1 0 0 1 0 2 -1] [-1 0 1 0 -1 1 4 1 0 -2 0 0 -1 -1 0 0 1 -1 1 0 1 0] [ 1 1 1 -2 -2 0 1 4 2 0 -1 -1 0 0 -1 1 2 0 0 1 0 1] [ 1 0 1 -1 -1 0 0 2 4 1 -1 1 -1 0 -2 0 2 0 0 0 -1 1] [ 0 -1 -1 0 1 -1 -2 0 1 4 -1 0 1 1 0 -1 0 0 -1 0 -1 1] [ 0 1 1 0 -1 0 0 -1 -1 -1 4 1 1 -1 0 1 -1 0 1 -1 2 -2] [ 0 -1 1 0 1 1 0 -1 1 0 1 4 -1 -1 -1 0 0 1 1 -2 1 0] [ 1 1 1 -1 -1 0 -1 0 -1 1 1 -1 4 -1 1 0 0 0 0 0 2 -1] [-1 -1 -2 1 2 -2 -1 0 0 1 -1 -1 -1 4 1 0 0 1 -1 0 -3 1] [ 0 0 -1 0 1 -1 0 -1 -2 0 0 -1 1 1 4 1 -1 0 0 1 1 1] [ 1 2 1 -1 0 -1 0 1 0 -1 1 0 0 0 1 4 0 0 0 0 1 1] [ 1 1 2 -2 -1 0 1 2 2 0 -1 0 0 0 -1 0 4 0 0 0 0 1] [ 0 0 -1 -1 1 0 -1 0 0 0 0 1 0 1 0 0 0 4 0 0 0 1] [-1 0 1 -1 -1 1 1 0 0 -1 1 1 0 -1 0 0 0 0 4 0 2 0] [ 0 0 -1 -1 -1 0 0 1 0 0 -1 -2 0 0 1 0 0 0 0 4 1 1] [ 1 1 2 -2 -2 2 1 0 -1 -1 2 1 2 -3 1 1 0 0 2 1 6 -1] [ 0 0 -1 -1 1 -1 0 1 1 1 -2 0 -1 1 1 1 1 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 916. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -1 -1 1 -2 -2 1 2 2 1 -2 1 2 -1 1 -2 -2 -1] [-2 4 1 0 -1 2 2 0 0 2 0 -2 -1 0 0 -2 -2 1 0 2 2 0] [ 0 1 4 0 1 2 0 2 -1 1 1 -1 -1 2 -1 1 0 2 0 1 1 -1] [ 0 0 0 4 -1 0 1 -1 2 0 0 0 0 2 0 1 0 1 -1 2 -2 0] [ 1 -1 1 -1 4 1 -1 1 -2 -1 1 -1 -1 -1 -1 1 2 0 -1 -1 0 1] [-1 2 2 0 1 4 1 0 0 1 0 -1 -2 0 0 -1 -1 2 0 1 1 0] [-1 2 0 1 -1 1 6 -2 1 2 -2 -1 -1 -1 -2 -3 -2 2 1 3 2 -2] [ 1 0 2 -1 1 0 -2 6 -3 0 0 0 0 3 -1 2 2 -1 -1 -2 -1 0] [-2 0 -1 2 -2 0 1 -3 6 0 0 0 0 0 2 -1 -1 2 -1 1 -1 0] [-2 2 1 0 -1 1 2 0 0 4 0 -1 -2 0 0 0 -2 1 0 2 2 0] [ 1 0 1 0 1 0 -2 0 0 0 4 0 0 1 0 2 1 0 0 0 -1 1] [ 2 -2 -1 0 -1 -1 -1 0 0 -1 0 4 2 0 0 0 1 -1 1 -2 -1 -1] [ 2 -1 -1 0 -1 -2 -1 0 0 -2 0 2 4 0 0 -1 1 -1 1 -2 -1 -1] [ 1 0 2 2 -1 0 -1 3 0 0 1 0 0 6 0 2 1 1 -1 0 -3 -1] [-2 0 -1 0 -1 0 -2 -1 2 0 0 0 0 0 4 0 -1 0 -1 -1 0 1] [ 1 -2 1 1 1 -1 -3 2 -1 0 2 0 -1 2 0 6 2 -1 -1 0 -2 2] [ 2 -2 0 0 2 -1 -2 2 -1 -2 1 1 1 1 -1 2 4 -1 -1 -2 -2 1] [-1 1 2 1 0 2 2 -1 2 1 0 -1 -1 1 0 -1 -1 4 0 2 1 -1] [ 1 0 0 -1 -1 0 1 -1 -1 0 0 1 1 -1 -1 -1 -1 0 4 0 1 -1] [-2 2 1 2 -1 1 3 -2 1 2 0 -2 -2 0 -1 0 -2 2 0 6 2 0] [-2 2 1 -2 0 1 2 -1 -1 2 -1 -1 -1 -3 0 -2 -2 1 1 2 6 -1] [-1 0 -1 0 1 0 -2 0 0 0 1 -1 -1 -1 1 2 1 -1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 917. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 2 -2 -2 1 1 1 1 0 0 -1 2 -1 0 2 0 -1 0 0 0] [ 2 6 2 2 -2 -2 3 3 0 1 1 -1 1 2 -2 -2 2 1 -2 -1 -1 1] [ 0 2 4 -1 1 1 1 1 -1 1 0 1 2 -1 -2 -1 0 0 0 0 1 2] [ 2 2 -1 4 -2 -2 0 0 0 0 1 -1 -1 2 0 -1 1 0 -1 0 0 0] [-2 -2 1 -2 4 2 -1 0 0 -1 0 1 0 -1 0 0 -2 0 0 0 1 1] [-2 -2 1 -2 2 4 0 -1 0 -1 0 1 0 -2 0 0 -2 0 2 0 1 1] [ 1 3 1 0 -1 0 4 2 1 1 1 0 0 0 -1 -1 1 0 -1 0 -1 1] [ 1 3 1 0 0 -1 2 4 1 1 1 0 0 2 -1 -1 1 0 -2 0 -1 1] [ 1 0 -1 0 0 0 1 1 4 0 0 1 -2 1 1 -1 -1 -1 0 1 0 0] [ 1 1 1 0 -1 -1 1 1 0 4 1 1 1 1 0 0 2 0 0 0 -1 1] [ 0 1 0 1 0 0 1 1 0 1 4 1 0 0 1 0 0 1 -1 -1 0 2] [ 0 -1 1 -1 1 1 0 0 1 1 1 4 1 0 1 1 -1 -1 1 1 0 2] [-1 1 2 -1 0 0 0 0 -2 1 0 1 4 -1 -1 0 0 0 1 0 -1 1] [ 2 2 -1 2 -1 -2 0 2 1 1 0 0 -1 6 0 -1 2 1 -1 -1 -2 0] [-1 -2 -2 0 0 0 -1 -1 1 0 1 1 -1 0 4 1 -1 -1 0 0 0 0] [ 0 -2 -1 -1 0 0 -1 -1 -1 0 0 1 0 -1 1 4 1 0 0 0 0 0] [ 2 2 0 1 -2 -2 1 1 -1 2 0 -1 0 2 -1 1 4 1 -1 -1 -1 0] [ 0 1 0 0 0 0 0 0 -1 0 1 -1 0 1 -1 0 1 4 0 -2 0 0] [-1 -2 0 -1 0 2 -1 -2 0 0 -1 1 1 -1 0 0 -1 0 4 0 0 0] [ 0 -1 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 -1 -2 0 4 1 0] [ 0 -1 1 0 1 1 -1 -1 0 -1 0 0 -1 -2 0 0 -1 0 0 1 4 0] [ 0 1 2 0 1 1 1 1 0 1 2 2 1 0 0 0 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 918. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 0 0 1 1 1 -2 1 1 2 0 0 0 -2 0 -1 0 -2 0] [ 2 4 2 2 1 1 1 0 -1 -1 -1 2 2 -1 1 1 -1 0 -2 0 -1 1] [ 2 2 4 0 0 1 0 0 0 0 1 2 1 1 0 1 0 1 -1 -1 0 0] [ 2 2 0 4 1 0 2 0 0 -1 -1 0 1 -1 1 1 -2 0 -1 0 -2 0] [ 0 1 0 1 4 -1 2 1 -2 1 1 2 1 -2 2 2 0 1 1 -1 1 2] [ 0 1 1 0 -1 4 0 -2 0 1 -1 1 1 1 1 -1 -1 1 -1 -1 1 -1] [ 1 1 0 2 2 0 4 0 0 1 1 0 2 -2 2 2 -1 0 1 0 -1 0] [ 1 0 0 0 1 -2 0 4 1 -1 2 1 1 0 0 0 0 -1 1 1 -1 1] [ 1 -1 0 0 -2 0 0 1 4 -1 1 -2 1 1 -1 -1 0 -1 1 1 -1 -1] [-2 -1 0 -1 1 1 1 -1 -1 4 1 0 0 0 1 1 1 1 1 -1 1 0] [ 1 -1 1 -1 1 -1 1 2 1 1 6 0 2 0 1 0 1 1 2 -1 1 1] [ 1 2 2 0 2 1 0 1 -2 0 0 6 2 0 1 0 -1 2 0 -2 0 1] [ 2 2 1 1 1 1 2 1 1 0 2 2 6 0 1 0 0 1 1 -1 0 0] [ 0 -1 1 -1 -2 1 -2 0 1 0 0 0 0 4 -1 -1 0 1 0 -1 1 -2] [ 0 1 0 1 2 1 2 0 -1 1 1 1 1 -1 4 1 -1 0 0 -1 1 1] [ 0 1 1 1 2 -1 2 0 -1 1 0 0 0 -1 1 4 1 0 0 0 0 1] [-2 -1 0 -2 0 -1 -1 0 0 1 1 -1 0 0 -1 1 4 0 1 0 2 1] [ 0 0 1 0 1 1 0 -1 -1 1 1 2 1 1 0 0 0 4 1 -2 2 0] [-1 -2 -1 -1 1 -1 1 1 1 1 2 0 1 0 0 0 1 1 4 -1 1 0] [ 0 0 -1 0 -1 -1 0 1 1 -1 -1 -2 -1 -1 -1 0 0 -2 -1 4 -1 0] [-2 -1 0 -2 1 1 -1 -1 -1 1 1 0 0 1 1 0 2 2 1 -1 6 0] [ 0 1 0 0 2 -1 0 1 -1 0 1 1 0 -2 1 1 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 919. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -1 -1 -1 1 0 -1 1 0 -1 0 -1 -1 1 -1 0 1 2] [-2 6 0 -1 -2 2 0 1 0 -1 -1 -2 2 2 1 2 -2 1 0 0 1 0] [ 0 0 4 -2 -1 1 -1 -1 0 -1 -1 -1 1 2 1 0 0 2 -1 -2 2 2] [ 0 -1 -2 4 0 -2 0 1 1 0 1 1 0 -2 0 1 1 -2 0 2 -1 -2] [ 1 -2 -1 0 4 -2 1 -1 1 0 0 1 -2 -1 -2 -1 0 0 1 1 -2 -1] [-1 2 1 -2 -2 4 -1 1 -2 1 0 -1 1 1 0 1 0 0 -1 -1 2 1] [-1 0 -1 0 1 -1 4 0 0 -1 1 1 -1 -1 -1 0 -1 -1 0 1 -1 0] [-1 1 -1 1 -1 1 0 4 -2 0 0 -1 -1 -1 -1 2 0 -2 1 0 1 -2] [ 1 0 0 1 1 -2 0 -2 4 0 -1 0 1 0 1 0 -1 1 -1 1 0 1] [ 0 -1 -1 0 0 1 -1 0 0 4 1 1 -1 0 0 -1 1 -1 0 0 -1 -1] [-1 -1 -1 1 0 0 1 0 -1 1 4 2 -1 -1 -1 -1 2 -1 1 0 -2 -1] [ 1 -2 -1 1 1 -1 1 -1 0 1 2 4 -1 -1 0 -1 1 -1 0 1 -1 0] [ 0 2 1 0 -2 1 -1 -1 1 -1 -1 -1 4 1 2 1 -1 1 -2 0 2 2] [-1 2 2 -2 -1 1 -1 -1 0 0 -1 -1 1 4 1 0 0 2 0 -1 1 0] [ 0 1 1 0 -2 0 -1 -1 1 0 -1 0 2 1 4 0 -1 1 -1 -1 1 1] [-1 2 0 1 -1 1 0 2 0 -1 -1 -1 1 0 0 4 0 -1 -1 1 2 0] [-1 -2 0 1 0 0 -1 0 -1 1 2 1 -1 0 -1 0 4 -1 1 0 -1 -1] [ 1 1 2 -2 0 0 -1 -2 1 -1 -1 -1 1 2 1 -1 -1 4 0 -1 1 2] [-1 0 -1 0 1 -1 0 1 -1 0 1 0 -2 0 -1 -1 1 0 4 -1 -2 -2] [ 0 0 -2 2 1 -1 1 0 1 0 0 1 0 -1 -1 1 0 -1 -1 4 0 -1] [ 1 1 2 -1 -2 2 -1 1 0 -1 -2 -1 2 1 1 2 -1 1 -2 0 6 2] [ 2 0 2 -2 -1 1 0 -2 1 -1 -1 0 2 0 1 0 -1 2 -2 -1 2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 920. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 -1 0 1 -1 0 2 -1 2 0 1 2 1 -2 -1 1] [ 1 4 -1 0 -1 2 1 -1 1 2 1 0 2 0 0 0 0 0 0 -2 0 -1] [-1 -1 4 -1 0 0 0 1 1 0 0 0 -2 -1 -1 0 1 -1 1 2 -1 0] [-1 0 -1 4 -1 0 0 0 -1 0 0 -1 0 1 -1 -1 -1 0 -1 0 1 0] [ 1 -1 0 -1 4 -1 1 1 -1 -1 -2 -1 1 -1 0 -1 1 1 1 -1 -1 -1] [ 1 2 0 0 -1 4 2 0 0 2 1 1 2 1 0 1 1 -1 1 -1 -1 0] [ 2 1 0 0 1 2 4 0 0 1 -1 -1 1 -1 0 -1 2 1 2 -2 -2 0] [-1 -1 1 0 1 0 0 4 -1 -1 -1 -1 1 -1 -2 -1 -1 -2 -1 2 -1 -1] [ 0 1 1 -1 -1 0 0 -1 4 0 0 -1 -1 -1 0 -1 1 1 1 1 -1 0] [ 1 2 0 0 -1 2 1 -1 0 4 0 0 2 1 0 1 0 0 0 -2 0 1] [-1 1 0 0 -2 1 -1 -1 0 0 4 1 0 1 0 2 -1 -1 0 1 1 -1] [ 0 0 0 -1 -1 1 -1 -1 -1 0 1 4 -1 1 1 2 0 -1 0 0 1 1] [ 2 2 -2 0 1 2 1 1 -1 2 0 -1 6 0 0 0 -1 0 -1 -2 -1 -1] [-1 0 -1 1 -1 1 -1 -1 -1 1 1 1 0 4 0 2 -1 -1 0 -1 1 0] [ 2 0 -1 -1 0 0 0 -2 0 0 0 1 0 0 4 1 1 1 1 -1 1 1] [ 0 0 0 -1 -1 1 -1 -1 -1 1 2 2 0 2 1 4 0 -1 0 0 1 1] [ 1 0 1 -1 1 1 2 -1 1 0 -1 0 -1 -1 1 0 4 1 2 -1 -1 1] [ 2 0 -1 0 1 -1 1 -2 1 0 -1 -1 0 -1 1 -1 1 4 1 -1 0 1] [ 1 0 1 -1 1 1 2 -1 1 0 0 0 -1 0 1 0 2 1 4 -1 -1 0] [-2 -2 2 0 -1 -1 -2 2 1 -2 1 0 -2 -1 -1 0 -1 -1 -1 6 1 0] [-1 0 -1 1 -1 -1 -2 -1 -1 0 1 1 -1 1 1 1 -1 0 -1 1 4 0] [ 1 -1 0 0 -1 0 0 -1 0 1 -1 1 -1 0 1 1 1 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 921. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 2 -2 0 1 -1 -2 0 1 2 -1 -1 1 1 -1 -1 1 2 -1 0] [-1 4 -1 -2 2 0 -1 1 2 0 0 0 -1 1 1 0 -1 0 -2 0 -1 0] [ 2 -1 4 1 -1 -1 2 -2 -1 -1 0 0 0 0 0 0 1 1 0 0 0 -1] [ 2 -2 1 4 -2 1 1 0 -1 -1 0 1 -1 -1 -1 0 1 0 1 1 -1 -1] [-2 2 -1 -2 4 -1 0 1 1 1 -1 -1 0 1 1 -1 1 0 -2 -1 1 -1] [ 0 0 -1 1 -1 4 -1 1 1 0 -1 1 0 1 0 -1 1 -1 1 1 -1 0] [ 1 -1 2 1 0 -1 4 -2 0 -1 1 -1 1 -1 0 -1 0 1 1 -1 1 0] [-1 1 -2 0 1 1 -2 4 0 1 0 1 0 1 0 -1 1 -1 0 1 -1 -1] [-2 2 -1 -1 1 1 0 0 4 0 0 -1 0 0 0 -1 0 1 -1 -1 0 1] [ 0 0 -1 -1 1 0 -1 1 0 4 1 1 1 -1 0 0 1 -2 0 1 0 1] [ 1 0 0 0 -1 -1 1 0 0 1 4 0 1 -1 -1 1 -2 -1 1 0 -1 1] [ 2 0 0 1 -1 1 -1 1 -1 1 0 4 0 0 1 0 0 -1 0 2 -1 0] [-1 -1 0 -1 0 0 1 0 0 1 1 0 4 0 -1 -1 1 0 1 -1 1 1] [-1 1 0 -1 1 1 -1 1 0 -1 -1 0 0 4 0 0 0 0 -1 0 0 -1] [ 1 1 0 -1 1 0 0 0 0 0 -1 1 -1 0 4 0 -1 0 0 1 1 0] [ 1 0 0 0 -1 -1 -1 -1 -1 0 1 0 -1 0 0 4 -2 0 0 0 -1 1] [-1 -1 1 1 1 1 0 1 0 1 -2 0 1 0 -1 -2 6 1 0 0 0 -2] [-1 0 1 0 0 -1 1 -1 1 -2 -1 -1 0 0 0 0 1 4 0 -1 1 0] [ 1 -2 0 1 -2 1 1 0 -1 0 1 0 1 -1 0 0 0 0 4 0 0 1] [ 2 0 0 1 -1 1 -1 1 -1 1 0 2 -1 0 1 0 0 -1 0 4 0 0] [-1 -1 0 -1 1 -1 1 -1 0 0 -1 -1 1 0 1 -1 0 1 0 0 4 0] [ 0 0 -1 -1 -1 0 0 -1 1 1 1 0 1 -1 0 1 -2 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 922. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -1 -1 0 -1 0 0 0 1 -2 1 1 0 -1 0 0 0 -1 0] [ 0 4 -1 -1 2 2 0 2 -1 -1 -1 -2 -1 -1 1 0 -1 0 1 0 -1 2] [ 1 -1 4 0 0 -1 1 0 1 2 1 2 1 -1 1 0 -1 -1 1 1 0 0] [ 2 -1 0 4 -1 -2 0 -1 1 1 1 1 -2 1 0 -1 -1 0 -1 0 -1 0] [-1 2 0 -1 6 2 0 2 2 1 1 1 1 0 1 2 -1 2 -1 -1 0 2] [-1 2 -1 -2 2 6 -2 2 -2 -1 1 0 0 -2 1 2 1 2 1 -2 -1 2] [ 0 0 1 0 0 -2 4 1 1 2 0 -1 1 -1 -1 -1 -2 -2 0 2 0 0] [-1 2 0 -1 2 2 1 4 0 1 1 0 0 -2 1 1 -1 0 0 0 -1 2] [ 0 -1 1 1 2 -2 1 0 4 2 1 2 1 1 0 0 -1 0 -2 1 0 0] [ 0 -1 2 1 1 -1 2 1 2 4 2 2 1 -1 0 0 -2 -1 0 1 -1 1] [ 0 -1 1 1 1 1 0 1 1 2 4 3 0 0 0 0 -1 1 0 -1 -1 1] [ 1 -2 2 1 1 0 -1 0 2 2 3 6 0 1 0 1 0 1 -1 -1 0 1] [-2 -1 1 -2 1 0 1 0 1 1 0 0 4 0 0 1 0 0 0 0 1 -1] [ 1 -1 -1 1 0 -2 -1 -2 1 -1 0 1 0 4 0 0 0 1 -1 -1 1 -1] [ 1 1 1 0 1 1 -1 1 0 0 0 0 0 0 4 2 -1 0 1 0 0 1] [ 0 0 0 -1 2 2 -1 1 0 0 0 1 1 0 2 4 0 1 0 -1 1 1] [-1 -1 -1 -1 -1 1 -2 -1 -1 -2 -1 0 0 0 -1 0 4 1 -1 -1 1 -1] [ 0 0 -1 0 2 2 -2 0 0 -1 1 1 0 1 0 1 1 4 -1 -2 0 0] [ 0 1 1 -1 -1 1 0 0 -2 0 0 -1 0 -1 1 0 -1 -1 4 0 0 1] [ 0 0 1 0 -1 -2 2 0 1 1 -1 -1 0 -1 0 -1 -1 -2 0 4 1 0] [-1 -1 0 -1 0 -1 0 -1 0 -1 -1 0 1 1 0 1 1 0 0 1 4 -1] [ 0 2 0 0 2 2 0 2 0 1 1 1 -1 -1 1 1 -1 0 1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 923. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 1 2 1 -1 -2 2 0 -1 2 -2 1 2 -1 1 1 1 1] [ 1 4 -1 0 -2 2 1 0 0 -1 1 -1 0 0 -1 -1 1 0 0 0 0 -1] [-1 -1 4 -1 0 0 0 1 -1 0 0 -1 -1 -1 0 0 0 -1 1 1 1 0] [-1 0 -1 4 2 0 0 -2 -1 0 -1 -1 0 0 0 -1 -2 2 -1 -2 0 0] [-1 -2 0 2 4 -2 -1 -2 -1 0 -1 -1 0 1 1 0 -2 1 -1 -1 1 0] [ 1 2 0 0 -2 4 2 0 -1 -1 1 0 -1 -1 -2 -1 1 0 1 0 1 1] [ 2 1 0 0 -1 2 4 0 -2 -2 2 0 -2 1 -1 1 2 0 2 0 2 2] [ 1 0 1 -2 -2 0 0 4 0 0 1 0 0 0 -1 1 1 -2 0 2 0 -1] [-1 0 -1 -1 -1 -1 -2 0 4 2 -1 1 1 -1 1 -1 0 0 0 0 -3 -1] [-2 -1 0 0 0 -1 -2 0 2 4 -1 1 2 -1 1 0 -1 1 0 0 -2 -1] [ 2 1 0 -1 -1 1 2 1 -1 -1 4 1 -1 1 -1 2 1 0 1 0 2 0] [ 0 -1 -1 -1 -1 0 0 0 1 1 1 4 1 -1 0 1 0 1 1 -1 0 1] [-1 0 -1 0 0 -1 -2 0 1 2 -1 1 4 0 0 0 -1 0 -1 0 -2 -1] [ 2 0 -1 0 1 -1 1 0 -1 -1 1 -1 0 4 0 1 1 0 0 0 0 0] [-2 -1 0 0 1 -2 -1 -1 1 1 -1 0 0 0 4 1 -1 0 0 0 0 0] [ 1 -1 0 -1 0 -1 1 1 -1 0 2 1 0 1 1 4 0 -1 1 1 2 1] [ 2 1 0 -2 -2 1 2 1 0 -1 1 0 -1 1 -1 0 4 -1 1 1 0 1] [-1 0 -1 2 1 0 0 -2 0 1 0 1 0 0 0 -1 -1 4 0 -2 0 0] [ 1 0 1 -1 -1 1 2 0 0 0 1 1 -1 0 0 1 1 0 4 0 1 2] [ 1 0 1 -2 -1 0 0 2 0 0 0 -1 0 0 0 1 1 -2 0 4 1 0] [ 1 0 1 0 1 1 2 0 -3 -2 2 0 -2 0 0 2 0 0 1 1 6 1] [ 1 -1 0 0 0 1 2 -1 -1 -1 0 1 -1 0 0 1 1 0 2 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 924. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 -2 2 0 1 1 -2 -2 0 1 2 -2 1 -1 2 0 0 0 -1] [-1 4 0 1 2 1 0 0 -1 2 0 1 -1 0 1 0 0 -1 1 0 0 1] [ 1 0 4 2 -1 2 1 2 1 -1 -1 1 0 -1 0 -1 0 0 0 0 1 -1] [ 2 1 2 6 -2 4 2 1 -1 0 -2 1 -1 0 -1 1 -2 1 1 1 1 0] [-2 2 -1 -2 6 -1 -1 1 -2 2 1 -1 -2 0 0 -2 1 -3 2 1 -2 1] [ 2 1 2 4 -1 6 0 2 -1 0 -1 1 0 1 0 -1 0 1 0 1 0 1] [ 0 0 1 2 -1 0 4 -1 -1 0 0 1 -1 -1 -1 0 -2 0 0 1 1 0] [ 1 0 2 1 1 2 -1 4 0 -1 -1 -1 -1 1 -1 -1 1 0 0 1 -1 -1] [ 1 -1 1 -1 -2 -1 -1 0 4 -2 0 0 1 0 0 1 1 1 0 -2 1 -2] [-2 2 -1 0 2 0 0 -1 -2 4 1 0 -1 -1 2 0 0 -1 0 1 -1 2] [-2 0 -1 -2 1 -1 0 -1 0 1 4 -1 -1 -1 1 -1 0 0 0 -1 -1 1] [ 0 1 1 1 -1 1 1 -1 0 0 -1 4 0 -1 1 0 0 0 0 0 1 1] [ 1 -1 0 -1 -2 0 -1 -1 1 -1 -1 0 4 0 1 0 0 1 -1 -1 1 0] [ 2 0 -1 0 0 1 -1 1 0 -1 -1 -1 0 4 -2 0 0 1 0 0 -1 -1] [-2 1 0 -1 0 0 -1 -1 0 2 1 1 1 -2 4 0 1 0 -1 0 0 2] [ 1 0 -1 1 -2 -1 0 -1 1 0 -1 0 0 0 0 4 -1 1 0 0 1 0] [-1 0 0 -2 1 0 -2 1 1 0 0 0 0 0 1 -1 4 -1 -1 0 0 0] [ 2 -1 0 1 -3 1 0 0 1 -1 0 0 1 1 0 1 -1 4 -1 0 0 0] [ 0 1 0 1 2 0 0 0 0 0 0 0 -1 0 -1 0 -1 -1 4 -1 0 0] [ 0 0 0 1 1 1 1 1 -2 1 -1 0 -1 0 0 0 0 0 -1 4 0 1] [ 0 0 1 1 -2 0 1 -1 1 -1 -1 1 1 -1 0 1 0 0 0 0 4 -1] [-1 1 -1 0 1 1 0 -1 -2 2 1 1 0 -1 2 0 0 0 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 925. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 1 -2 -1 0 -2 -2 -1 0 -2 1 2 1 -1 -1 1 1 1 1] [-1 4 -2 0 1 1 2 -1 -1 0 0 0 0 0 -1 1 -1 2 -2 -2 -1 1] [ 2 -2 4 1 -1 -2 -2 0 0 -1 -1 1 -2 1 2 0 -1 -2 1 2 1 -1] [ 0 0 1 4 -1 1 -2 0 1 1 1 -1 -1 0 -1 1 -2 0 1 2 -1 0] [ 1 1 -1 -1 4 0 1 -1 -1 0 1 -1 1 1 1 0 -1 1 0 0 0 0] [-2 1 -2 1 0 4 1 0 2 2 2 0 1 0 -1 0 -1 1 0 0 -2 0] [-1 2 -2 -2 1 1 4 0 0 0 0 1 0 0 -1 -1 0 2 -1 -2 0 0] [ 0 -1 0 0 -1 0 0 4 2 0 -1 0 0 0 1 -1 -1 0 0 1 1 1] [-2 -1 0 1 -1 2 0 2 6 1 0 -1 1 -1 0 -2 0 1 1 0 0 -1] [-2 0 -1 1 0 2 0 0 1 4 1 0 1 0 -2 -1 -1 0 0 0 -1 0] [-1 0 -1 1 1 2 0 -1 0 1 4 -1 1 1 0 1 -1 0 1 2 -2 -1] [ 0 0 1 -1 -1 0 1 0 -1 0 -1 4 -1 0 0 0 0 -1 -1 0 1 0] [-2 0 -2 -1 1 1 0 0 1 1 1 -1 4 -1 0 0 1 1 -1 0 -1 -1] [ 1 0 1 0 1 0 0 0 -1 0 1 0 -1 4 2 0 -1 -1 1 2 -1 0] [ 2 -1 2 -1 1 -1 -1 1 0 -2 0 0 0 2 6 0 -2 -2 1 2 0 0] [ 1 1 0 1 0 0 -1 -1 -2 -1 1 0 0 0 0 4 0 0 -1 1 -1 1] [-1 -1 -1 -2 -1 -1 0 -1 0 -1 -1 0 1 -1 -2 0 6 0 0 -2 1 0] [-1 2 -2 0 1 1 2 0 1 0 0 -1 1 -1 -2 0 0 4 -1 -1 0 0] [ 1 -2 1 1 0 0 -1 0 1 0 1 -1 -1 1 1 -1 0 -1 4 1 0 0] [ 1 -2 2 2 0 0 -2 1 0 0 2 0 0 2 2 1 -2 -1 1 6 0 -1] [ 1 -1 1 -1 0 -2 0 1 0 -1 -2 1 -1 -1 0 -1 1 0 0 0 4 0] [ 1 1 -1 0 0 0 0 1 -1 0 -1 0 -1 0 0 1 0 0 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 926. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -2 -1 1 0 1 1 0 -2 -1 0 0 -1 0 1 -1 -2 -1 1] [-2 6 2 -2 -1 -1 0 0 -2 -1 1 0 -1 2 2 -1 0 -1 -1 1 1 -3] [ 0 2 4 -2 -1 0 0 -1 0 1 2 0 -2 0 2 0 0 0 0 0 0 -2] [ 0 -2 -2 4 1 1 0 1 0 0 0 1 1 0 -1 0 -1 1 0 0 -1 2] [-2 -1 -1 1 4 1 0 -1 -1 0 -1 1 2 -1 0 0 -1 0 2 1 0 0] [-1 -1 0 1 1 4 1 -1 -1 0 0 0 1 -2 -1 2 0 1 0 1 -1 -1] [ 1 0 0 0 0 1 4 -1 -1 -1 1 -1 -1 0 1 0 -1 2 -1 1 -2 -2] [ 0 0 -1 1 -1 -1 -1 4 0 -1 0 1 0 2 -1 0 1 0 0 0 0 1] [ 1 -2 0 0 -1 -1 -1 0 4 0 0 1 -1 0 -1 0 0 -1 1 -1 1 1] [ 1 -1 1 0 0 0 -1 -1 0 4 1 -1 1 -1 0 0 1 0 0 0 0 2] [ 0 1 2 0 -1 0 1 0 0 1 4 1 -1 1 1 0 0 1 0 1 -1 -1] [-2 0 0 1 1 0 -1 1 1 -1 1 4 0 0 -1 1 -1 0 2 1 0 0] [-1 -1 -2 1 2 1 -1 0 -1 1 -1 0 4 -1 -1 0 1 0 1 1 0 1] [ 0 2 0 0 -1 -2 0 2 0 -1 1 0 -1 4 1 -2 0 0 0 0 0 0] [ 0 2 2 -1 0 -1 1 -1 -1 0 1 -1 -1 1 4 -2 0 0 -1 0 0 -1] [-1 -1 0 0 0 2 0 0 0 0 0 1 0 -2 -2 4 0 0 0 1 0 0] [ 0 0 0 -1 -1 0 -1 1 0 1 0 -1 1 0 0 0 4 0 -1 0 1 1] [ 1 -1 0 1 0 1 2 0 -1 0 1 0 0 0 0 0 0 4 0 1 -2 0] [-1 -1 0 0 2 0 -1 0 1 0 0 2 1 0 -1 0 -1 0 4 0 0 0] [-2 1 0 0 1 1 1 0 -1 0 1 1 1 0 0 1 0 1 0 4 0 -1] [-1 1 0 -1 0 -1 -2 0 1 0 -1 0 0 0 0 0 1 -2 0 0 4 0] [ 1 -3 -2 2 0 -1 -2 1 1 2 -1 0 1 0 -1 0 1 0 0 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 927. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 2 -1 -1 1 2 -1 -2 0 1 1 1 0 -2 -1 -1 0 1 -1] [-1 4 -1 0 0 1 0 0 -2 1 2 0 -2 -1 -1 -1 0 -1 2 1 -2 0] [ 0 -1 4 -1 0 -2 0 0 1 1 0 -1 1 -1 2 1 2 1 0 -2 -1 0] [-1 0 -1 4 -1 2 2 -2 -1 -1 -1 2 1 1 -2 -1 0 1 0 0 -1 -1] [ 2 0 0 -1 4 -2 -2 2 2 0 -2 -1 0 1 1 1 0 0 0 0 -1 1] [-1 1 -2 2 -2 4 1 -2 -2 0 0 2 0 0 -2 -1 -1 0 1 1 1 -1] [-1 0 0 2 -2 1 4 -1 -1 0 1 2 0 1 -2 -2 0 0 0 0 -1 -2] [ 1 0 0 -2 2 -2 -1 4 2 0 -1 -1 0 0 1 1 -1 0 -1 1 -1 0] [ 2 -2 1 -1 2 -2 -1 2 4 0 -2 0 1 0 1 1 -1 0 -1 -1 0 0] [-1 1 1 -1 0 0 0 0 0 4 2 0 -1 -1 0 0 2 -1 2 0 -1 0] [-2 2 0 -1 -2 0 1 -1 -2 2 6 -1 -3 -2 -1 -1 2 -1 1 0 0 0] [ 0 0 -1 2 -1 2 2 -1 0 0 -1 4 1 1 -2 -2 -2 -1 0 0 -1 -2] [ 1 -2 1 1 0 0 0 0 1 -1 -3 1 4 1 1 0 -1 1 -1 -1 0 -1] [ 1 -1 -1 1 1 0 1 0 0 -1 -2 1 1 4 -1 0 0 0 0 1 0 0] [ 1 -1 2 -2 1 -2 -2 1 1 0 -1 -2 1 -1 4 1 0 0 -1 -1 1 1] [ 0 -1 1 -1 1 -1 -2 1 1 0 -1 -2 0 0 1 4 2 2 0 0 0 2] [-2 0 2 0 0 -1 0 -1 -1 2 2 -2 -1 0 0 2 6 2 2 0 -1 2] [-1 -1 1 1 0 0 0 0 0 -1 -1 -1 1 0 0 2 2 4 0 0 0 1] [-1 2 0 0 0 1 0 -1 -1 2 1 0 -1 0 -1 0 2 0 4 0 -1 1] [ 0 1 -2 0 0 1 0 1 -1 0 0 0 -1 1 -1 0 0 0 0 4 1 0] [ 1 -2 -1 -1 -1 1 -1 -1 0 -1 0 -1 0 0 1 0 -1 0 -1 1 6 0] [-1 0 0 -1 1 -1 -2 0 0 0 0 -2 -1 0 1 2 2 1 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 928. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 -1 -2 -2 1 -2 -2 -1 1 -1 1 -1 -1 1 1 1 1] [ 1 4 0 -2 2 0 -2 1 0 1 -1 -2 1 1 -1 0 -1 -2 -1 2 1 2] [-1 0 4 -1 1 -2 -1 2 0 -2 0 2 1 1 2 -2 2 -1 -2 1 -1 -1] [-1 -2 -1 4 -2 0 1 -1 0 1 2 2 0 -2 -1 1 0 2 1 -2 0 -1] [ 1 2 1 -2 4 1 -2 0 0 1 0 -1 0 1 1 0 1 -2 -1 2 0 1] [ 2 0 -2 0 1 4 -1 -2 -1 2 -1 -1 -2 0 -1 2 -1 0 2 0 1 0] [-1 -2 -1 1 -2 -1 4 -1 1 0 0 0 -1 -1 1 0 0 1 0 -1 -1 0] [-2 1 2 -1 0 -2 -1 4 1 -1 1 1 2 0 1 -2 1 -1 -1 1 -1 0] [-2 0 0 0 0 -1 1 1 4 -1 2 1 1 0 2 0 1 1 0 0 0 0] [ 1 1 -2 1 1 2 0 -1 -1 6 -1 0 -1 -2 -2 1 -1 0 1 0 -1 2] [-2 -1 0 2 0 -1 0 1 2 -1 6 2 1 -2 2 1 1 1 0 -1 0 0] [-2 -2 2 2 -1 -1 0 1 1 0 2 6 1 -1 2 -1 2 2 0 -2 -1 -1] [-1 1 1 0 0 -2 -1 2 1 -1 1 1 4 1 0 -2 1 0 -1 0 0 0] [ 1 1 1 -2 1 0 -1 0 0 -2 -2 -1 1 4 1 -1 1 -1 0 1 1 -1] [-1 -1 2 -1 1 -1 1 1 2 -2 2 2 0 1 6 0 2 -1 0 1 0 0] [ 1 0 -2 1 0 2 0 -2 0 1 1 -1 -2 -1 0 4 -2 0 2 0 2 1] [-1 -1 2 0 1 -1 0 1 1 -1 1 2 1 1 2 -2 4 0 -1 0 -1 -1] [-1 -2 -1 2 -2 0 1 -1 1 0 1 2 0 -1 -1 0 0 4 1 -2 0 -1] [ 1 -1 -2 1 -1 2 0 -1 0 1 0 0 -1 0 0 2 -1 1 4 -1 1 0] [ 1 2 1 -2 2 0 -1 1 0 0 -1 -2 0 1 1 0 0 -2 -1 4 1 1] [ 1 1 -1 0 0 1 -1 -1 0 -1 0 -1 0 1 0 2 -1 0 1 1 4 0] [ 1 2 -1 -1 1 0 0 0 0 2 0 -1 0 -1 0 1 -1 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 929. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 1 2 1 1 1 2 0 -1 -1 1 -2 -1 -1 2 0 0 0 -2 0] [-1 4 1 -2 -1 0 1 -2 -1 -1 -1 1 -2 2 0 0 0 -1 0 1 0 1] [ 1 1 4 -1 0 -1 2 -2 1 0 -2 -1 1 1 0 -2 1 1 -1 -1 -1 -1] [ 1 -2 -1 4 0 0 0 0 0 -1 0 0 2 0 -1 0 -1 -1 1 1 0 1] [ 2 -1 0 0 4 0 0 0 2 0 0 -1 1 -3 0 -1 1 0 -1 0 -1 0] [ 1 0 -1 0 0 4 -1 0 0 1 1 1 0 -2 -1 1 2 0 1 0 0 0] [ 1 1 2 0 0 -1 4 -2 1 0 -2 -1 0 1 1 0 0 -1 0 1 0 -1] [ 1 -2 -2 0 0 0 -2 6 0 1 1 0 0 -1 -1 1 0 1 1 -1 0 0] [ 2 -1 1 0 2 0 1 0 4 0 -1 -2 2 -2 0 -1 2 1 0 -1 -1 -1] [ 0 -1 0 -1 0 1 0 1 0 4 0 1 -1 -1 1 1 0 1 0 -1 1 -2] [-1 -1 -2 0 0 1 -2 1 -1 0 4 1 -1 0 -1 0 0 1 1 -1 0 1] [-1 1 -1 0 -1 1 -1 0 -2 1 1 4 -2 1 -1 1 -1 -1 0 0 1 1] [ 1 -2 1 2 1 0 0 0 2 -1 -1 -2 6 -2 0 -1 1 0 1 0 0 0] [-2 2 1 0 -3 -2 1 -1 -2 -1 0 1 -2 6 -1 0 -2 0 0 0 1 1] [-1 0 0 -1 0 -1 1 -1 0 1 -1 -1 0 -1 4 0 -1 -1 0 1 0 -1] [-1 0 -2 0 -1 1 0 1 -1 1 0 1 -1 0 0 4 0 -1 0 1 2 0] [ 2 0 1 -1 1 2 0 0 2 0 0 -1 1 -2 -1 0 4 1 0 -1 -1 0] [ 0 -1 1 -1 0 0 -1 1 1 1 1 -1 0 0 -1 -1 1 4 0 -2 0 -1] [ 0 0 -1 1 -1 1 0 1 0 0 1 0 1 0 0 0 0 0 4 0 0 1] [ 0 1 -1 1 0 0 1 -1 -1 -1 -1 0 0 0 1 1 -1 -2 0 4 1 1] [-2 0 -1 0 -1 0 0 0 -1 1 0 1 0 1 0 2 -1 0 0 1 4 -1] [ 0 1 -1 1 0 0 -1 0 -1 -2 1 1 0 1 -1 0 0 -1 1 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 930. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 0 -1 0 1 2 1 1 2 -1 -1 2 1 -1 -2 2 2 -1 1] [ 1 4 -1 0 1 1 0 2 1 2 2 0 -2 -1 1 -1 0 -1 1 1 -2 1] [ 1 -1 4 -1 1 0 1 0 1 -1 1 0 1 0 1 1 1 1 1 -1 2 0] [ 0 0 -1 4 0 -1 0 0 0 -1 1 1 0 0 -1 1 -1 0 0 0 1 1] [ 0 1 1 0 4 2 0 0 0 1 2 0 0 1 1 -1 2 2 -1 -2 -1 -1] [-1 1 0 -1 2 4 1 1 0 1 1 -1 0 0 1 -2 2 1 -1 -1 0 0] [ 0 0 1 0 0 1 4 2 -1 -1 -1 -1 -1 0 0 -1 -1 1 0 -1 2 1] [ 1 2 0 0 0 1 2 4 1 1 0 0 -1 0 1 -1 -1 0 1 0 0 1] [ 2 1 1 0 0 0 -1 1 4 1 2 2 0 0 2 0 0 -2 2 2 -1 0] [ 1 2 -1 -1 1 1 -1 1 1 4 0 0 0 -1 1 -1 0 0 0 0 -2 0] [ 1 2 1 1 2 1 -1 0 2 0 6 2 -1 0 1 0 2 0 0 0 -1 0] [ 2 0 0 1 0 -1 -1 0 2 0 2 4 -1 0 1 1 0 -2 1 2 -1 0] [-1 -2 1 0 0 0 -1 -1 0 0 -1 -1 4 1 -1 0 1 2 -1 -2 2 0] [-1 -1 0 0 1 0 0 0 0 -1 0 0 1 4 0 -1 0 2 -1 -2 0 -2] [ 2 1 1 -1 1 1 0 1 2 1 1 1 -1 0 4 0 0 -2 1 1 -1 0] [ 1 -1 1 1 -1 -2 -1 -1 0 -1 0 1 0 -1 0 4 0 -1 1 1 1 1] [-1 0 1 -1 2 2 -1 -1 0 0 2 0 1 0 0 0 4 1 -1 -1 0 0] [-2 -1 1 0 2 1 1 0 -2 0 0 -2 2 2 -2 -1 1 6 -2 -4 2 -1] [ 2 1 1 0 -1 -1 0 1 2 0 0 1 -1 -1 1 1 -1 -2 4 2 0 1] [ 2 1 -1 0 -2 -1 -1 0 2 0 0 2 -2 -2 1 1 -1 -4 2 6 -1 1] [-1 -2 2 1 -1 0 2 0 -1 -2 -1 -1 2 0 -1 1 0 2 0 -1 6 1] [ 1 1 0 1 -1 0 1 1 0 0 0 0 0 -2 0 1 0 -1 1 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 931. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 2 2 -2 -1 -2 -1 -1 2 -1 2 2 2 -1 -2 -2 2 2] [ 1 4 0 -2 0 0 0 0 -1 0 -2 -2 -1 1 2 -1 2 1 -1 -2 1 2] [-1 0 4 2 -2 -1 -2 1 0 1 0 -1 0 -1 -1 -1 0 1 1 0 -2 -2] [-2 -2 2 6 0 0 -2 1 -1 0 1 -1 -2 -2 -1 0 -2 2 2 2 -3 -1] [ 1 0 -2 0 4 2 2 -1 -1 -1 0 -1 1 0 1 0 -1 1 0 1 1 2] [ 2 0 -1 0 2 4 1 -2 -2 -2 0 -2 2 0 2 0 1 -1 0 -1 2 1] [ 2 0 -2 -2 2 1 4 -2 0 -1 -1 0 1 0 1 2 1 0 -2 -1 1 1] [-2 0 1 1 -1 -2 -2 4 1 1 1 1 -1 1 -1 -2 -2 0 1 2 -2 -1] [-1 -1 0 -1 -1 -2 0 1 4 1 0 1 1 0 -2 0 0 0 -1 0 0 -2] [-2 0 1 0 -1 -2 -1 1 1 4 0 2 0 1 -1 0 0 0 1 1 -2 -1] [-1 -2 0 1 0 0 -1 1 0 0 4 1 0 1 -2 -1 -3 -2 2 3 0 -2] [-1 -2 -1 -1 -1 -2 0 1 1 2 1 6 1 1 -1 2 -2 -2 0 2 -2 0] [ 2 -1 0 -2 1 2 1 -1 1 0 0 1 6 0 0 1 1 -2 -1 -1 1 0] [-1 1 -1 -2 0 0 0 1 0 1 1 1 0 4 0 -2 -1 -2 1 1 0 0] [ 2 2 -1 -1 1 2 1 -1 -2 -1 -2 -1 0 0 4 1 2 0 -1 -2 1 2] [ 2 -1 -1 0 0 0 2 -2 0 0 -1 2 1 -2 1 6 1 -1 -2 -1 0 1] [ 2 2 0 -2 -1 1 1 -2 0 0 -3 -2 1 -1 2 1 6 0 -2 -4 2 1] [-1 1 1 2 1 -1 0 0 0 0 -2 -2 -2 -2 0 -1 0 6 0 0 -1 0] [-2 -1 1 2 0 0 -2 1 -1 1 2 0 -1 1 -1 -2 -2 0 4 2 -1 -1] [-2 -2 0 2 1 -1 -1 2 0 1 3 2 -1 1 -2 -1 -4 0 2 6 -1 -1] [ 2 1 -2 -3 1 2 1 -2 0 -2 0 -2 1 0 1 0 2 -1 -1 -1 6 0] [ 2 2 -2 -1 2 1 1 -1 -2 -1 -2 0 0 0 2 1 1 0 -1 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 932. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 -1 -1 1 1 2 1 1 -2 -1 1 -1 -1 -1 1 2 1 0 -2] [ 1 4 1 -1 -1 -2 1 2 0 0 1 -2 -2 1 1 1 1 1 -1 1 0 -1] [ 1 1 4 0 -2 -1 1 1 1 -1 2 1 1 0 1 -1 0 0 0 2 -1 0] [ 0 -1 0 4 -1 1 1 1 1 -1 1 -1 0 -1 0 1 1 -1 1 1 -1 0] [-1 -1 -2 -1 4 1 -2 -2 -1 1 -2 0 0 -1 0 1 0 1 -1 -2 2 1] [-1 -2 -1 1 1 4 -2 -1 0 1 -1 2 2 -1 1 1 0 -1 -1 -1 0 1] [ 1 1 1 1 -2 -2 4 2 0 0 2 -1 -1 1 -1 0 1 0 1 2 -1 0] [ 1 2 1 1 -2 -1 2 4 0 -1 2 -1 -1 1 0 1 0 0 0 2 -1 0] [ 2 0 1 1 -1 0 0 0 4 -1 0 -2 0 0 0 0 -1 -1 1 0 0 -2] [ 1 0 -1 -1 1 1 0 -1 -1 4 0 0 0 1 0 0 1 1 0 0 0 0] [ 1 1 2 1 -2 -1 2 2 0 0 4 0 -1 0 1 0 1 1 0 2 -2 0] [-2 -2 1 -1 0 2 -1 -1 -2 0 0 6 2 -1 1 -1 0 0 -1 0 -1 2] [-1 -2 1 0 0 2 -1 -1 0 0 -1 2 6 1 0 -1 -2 -3 0 -1 1 1] [ 1 1 0 -1 -1 -1 1 1 0 1 0 -1 1 4 0 -1 -1 -1 1 0 1 0] [-1 1 1 0 0 1 -1 0 0 0 1 1 0 0 4 1 1 0 -2 0 0 1] [-1 1 -1 1 1 1 0 1 0 0 0 -1 -1 -1 1 4 2 0 -2 0 0 1] [-1 1 0 1 0 0 1 0 -1 1 1 0 -2 -1 1 2 4 1 -1 1 -1 1] [ 1 1 0 -1 1 -1 0 0 -1 1 1 0 -3 -1 0 0 1 4 0 1 0 0] [ 2 -1 0 1 -1 -1 1 0 1 0 0 -1 0 1 -2 -2 -1 0 4 0 0 -1] [ 1 1 2 1 -2 -1 2 2 0 0 2 0 -1 0 0 0 1 1 0 4 -1 0] [ 0 0 -1 -1 2 0 -1 -1 0 0 -2 -1 1 1 0 0 -1 0 0 -1 4 0] [-2 -1 0 0 1 1 0 0 -2 0 0 2 1 0 1 1 1 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 933. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -1 1 2 2 -2 -1 -1 1 -1 -2 -2 2 1 -1 -2 -2 2 1 1] [ 0 4 0 0 2 1 1 1 -1 -1 0 0 0 1 0 0 0 -2 -2 2 -2 -2] [-1 0 4 -1 0 0 -1 2 -1 -1 1 0 0 -1 1 1 -1 0 -1 -2 1 -2] [-1 0 -1 4 0 0 -1 1 2 -1 -1 1 0 2 -1 1 0 2 0 0 -1 2] [ 1 2 0 0 4 2 0 0 0 -2 0 0 0 1 0 1 -1 -1 -2 1 0 0] [ 2 1 0 0 2 4 0 0 0 -1 0 0 0 -1 0 2 -2 -2 -1 2 0 0] [ 2 1 -1 -1 0 0 4 -1 -1 -1 1 0 -2 0 2 0 1 -2 -2 2 -1 -1] [-2 1 2 1 0 0 -1 4 1 0 0 1 0 1 0 0 0 1 -1 -1 0 -2] [-1 -1 -1 2 0 0 -1 1 4 0 0 0 0 1 -1 0 0 1 0 -1 1 2] [-1 -1 -1 -1 -2 -1 -1 0 0 6 -1 1 1 -2 -1 -2 2 0 2 -1 1 -1] [ 1 0 1 -1 0 0 1 0 0 -1 4 0 -1 -2 1 0 0 -2 -2 -1 0 -1] [-1 0 0 1 0 0 0 1 0 1 0 4 1 0 0 0 0 1 1 -1 -2 -1] [-2 0 0 0 0 0 -2 0 0 1 -1 1 4 0 -2 0 0 0 3 0 -1 0] [-2 1 -1 2 1 -1 0 1 1 -2 -2 0 0 6 -2 -1 1 3 0 0 -1 1] [ 2 0 1 -1 0 0 2 0 -1 -1 1 0 -2 -2 4 1 -1 -1 -2 0 1 -1] [ 1 0 1 1 1 2 0 0 0 -2 0 0 0 -1 1 4 -1 -1 -1 1 0 1] [-1 0 -1 0 -1 -2 1 0 0 2 0 0 0 1 -1 -1 4 0 0 0 0 0] [-2 -2 0 2 -1 -2 -2 1 1 0 -2 1 0 3 -1 -1 0 6 2 -2 1 2] [-2 -2 -1 0 -2 -1 -2 -1 0 2 -2 1 3 0 -2 -1 0 2 6 -1 -1 1] [ 2 2 -2 0 1 2 2 -1 -1 -1 -1 -1 0 0 0 1 0 -2 -1 6 -1 0] [ 1 -2 1 -1 0 0 -1 0 1 1 0 -2 -1 -1 1 0 0 1 -1 -1 6 1] [ 1 -2 -2 2 0 0 -1 -2 2 -1 -1 -1 0 1 -1 1 0 2 1 0 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 934. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 -2 -1 -2 -2 0 -2 1 -1 -2 -1 -1 0 0 0 -1 -1 0] [ 1 4 0 0 0 -2 -1 1 -2 1 1 2 0 1 1 1 -1 0 -1 0 0 -1] [ 2 0 4 -2 -1 -1 0 -1 -2 0 -1 -1 -1 -1 0 0 0 0 -1 -1 -1 1] [-2 0 -2 4 2 1 -1 1 0 0 1 1 1 2 0 1 1 1 1 1 1 0] [-1 0 -1 2 4 2 -2 -1 0 0 -1 2 2 1 0 2 2 2 -1 2 -1 0] [-2 -2 -1 1 2 4 0 -1 2 -1 -1 -1 1 1 0 1 2 1 0 1 0 1] [-1 -1 0 -1 -2 0 4 2 2 -1 2 -2 0 0 0 0 -1 -1 1 -1 1 0] [-2 1 -1 1 -1 -1 2 6 1 -1 2 1 0 2 2 0 -1 -2 1 1 2 -1] [-2 -2 -2 0 0 2 2 1 6 -2 0 -1 2 0 0 0 -1 0 1 0 0 1] [ 0 1 0 0 0 -1 -1 -1 -2 4 0 -1 0 0 -1 0 0 1 0 -1 0 0] [-2 1 -1 1 -1 -1 2 2 0 0 6 0 -1 2 0 0 -1 0 -1 -1 2 0] [ 1 2 -1 1 2 -1 -2 1 -1 -1 0 6 1 0 1 1 1 0 -1 2 -1 -2] [-1 0 -1 1 2 1 0 0 2 0 -1 1 4 0 0 2 0 1 0 1 -1 0] [-2 1 -1 2 1 1 0 2 0 0 2 0 0 4 1 1 0 1 0 0 2 0] [-1 1 0 0 0 0 0 2 0 -1 0 1 0 1 4 1 -1 -2 -1 1 0 -1] [-1 1 0 1 2 1 0 0 0 0 0 1 2 1 1 4 1 1 -1 1 -1 0] [ 0 -1 0 1 2 2 -1 -1 -1 0 -1 1 0 0 -1 1 4 1 0 1 0 1] [ 0 0 0 1 2 1 -1 -2 0 1 0 0 1 1 -2 1 1 4 0 0 0 1] [ 0 -1 -1 1 -1 0 1 1 1 0 -1 -1 0 0 -1 -1 0 0 4 -1 1 0] [-1 0 -1 1 2 1 -1 1 0 -1 -1 2 1 0 1 1 1 0 -1 4 0 -1] [-1 0 -1 1 -1 0 1 2 0 0 2 -1 -1 2 0 -1 0 0 1 0 4 0] [ 0 -1 1 0 0 1 0 -1 1 0 0 -2 0 0 -1 0 1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 935. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 1 -2 0 1 0 0 -2 -1 0 -1 -1 -1 2 -2 0 -2 -1 2] [-2 4 2 2 1 0 1 -1 0 -1 2 1 0 -1 0 0 -1 2 0 2 1 -1] [-2 2 4 0 1 1 1 0 0 0 2 0 0 -1 1 1 0 0 0 2 2 -1] [-2 2 0 4 0 0 0 -1 1 -1 1 2 0 1 0 1 -2 2 0 1 -1 0] [ 1 1 1 0 4 -2 2 0 1 -1 0 1 -1 0 -1 1 1 -1 1 0 1 2] [-2 0 1 0 -2 4 0 0 -1 1 1 -1 1 1 0 1 -1 1 -1 1 0 -1] [ 0 1 1 0 2 0 4 -1 -1 -1 1 1 -1 1 -1 1 1 0 1 1 2 2] [ 1 -1 0 -1 0 0 -1 4 -1 1 0 -1 -1 0 -1 1 0 -1 1 0 0 1] [ 0 0 0 1 1 -1 -1 -1 6 1 -1 0 -1 -2 1 0 -2 -1 -2 -1 1 -2] [ 0 -1 0 -1 -1 1 -1 1 1 4 -1 -2 0 0 0 0 0 0 0 -1 1 -1] [-2 2 2 1 0 1 1 0 -1 -1 4 0 0 -1 1 1 -1 1 0 2 1 0] [-1 1 0 2 1 -1 1 -1 0 -2 0 4 0 1 -1 0 0 1 1 0 -1 0] [ 0 0 0 0 -1 1 -1 -1 -1 0 0 0 4 -1 1 -1 1 0 0 0 -2 0] [-1 -1 -1 1 0 1 1 0 -2 0 -1 1 -1 6 -2 2 0 1 1 0 0 2] [-1 0 1 0 -1 0 -1 -1 1 0 1 -1 1 -2 4 -1 -1 -1 0 1 0 -1] [-1 0 1 1 1 1 1 1 0 0 1 0 -1 2 -1 4 0 0 0 1 1 2] [ 2 -1 0 -2 1 -1 1 0 -2 0 -1 0 1 0 -1 0 4 -1 1 -1 0 2] [-2 2 0 2 -1 1 0 -1 -1 0 1 1 0 1 -1 0 -1 4 0 1 0 -1] [ 0 0 0 0 1 -1 1 1 -2 0 0 1 0 1 0 0 1 0 4 0 0 2] [-2 2 2 1 0 1 1 0 -1 -1 2 0 0 0 1 1 -1 1 0 4 2 0] [-1 1 2 -1 1 0 2 0 1 1 1 -1 -2 0 0 1 0 0 0 2 6 -1] [ 2 -1 -1 0 2 -1 2 1 -2 -1 0 0 0 2 -1 2 2 -1 2 0 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 936. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -2 2 -1 1 1 1 -1 0 -1 1 -1 0 1 1 -1 0 -1 0] [ 1 4 -2 1 0 1 -1 -1 1 -1 -1 -1 -2 0 0 -1 -1 -1 0 -1 -1 1] [-1 -2 4 -2 0 -1 1 0 -2 1 2 0 0 -1 -1 0 1 0 0 -1 1 0] [ 1 1 -2 4 0 2 0 1 0 0 0 0 0 1 -1 -1 0 0 1 1 0 -1] [-2 0 0 0 4 -1 -1 0 -1 0 1 -1 0 -1 1 0 0 -2 0 -1 -1 1] [ 2 1 -1 2 -1 4 -1 1 1 0 -1 1 0 0 -1 -1 0 1 1 0 0 -1] [-1 -1 1 0 -1 -1 4 -1 -1 0 1 1 1 1 0 1 0 0 1 1 0 0] [ 1 -1 0 1 0 1 -1 4 -1 2 1 -1 -1 0 0 -1 2 1 0 0 -1 0] [ 1 1 -2 0 -1 1 -1 -1 4 -2 -2 0 1 1 1 1 -1 1 -1 1 1 -1] [ 1 -1 1 0 0 0 0 2 -2 4 1 -1 -1 0 -1 -1 2 0 -1 -1 -1 1] [-1 -1 2 0 1 -1 1 1 -2 1 4 0 -1 -1 -1 -1 2 -1 1 -1 -1 1] [ 0 -1 0 0 -1 1 1 -1 0 -1 0 4 1 0 -1 0 -1 1 2 1 0 -1] [-1 -2 0 0 0 0 1 -1 1 -1 -1 1 4 1 1 1 -1 0 0 2 1 -1] [ 1 0 -1 1 -1 0 1 0 1 0 -1 0 1 4 0 0 0 0 -1 2 1 0] [-1 0 -1 -1 1 -1 0 0 1 -1 -1 -1 1 0 4 2 -1 -1 0 1 0 1] [ 0 -1 0 -1 0 -1 1 -1 1 -1 -1 0 1 0 2 4 -1 0 0 1 1 0] [ 1 -1 1 0 0 0 0 2 -1 2 2 -1 -1 0 -1 -1 4 0 -1 -1 -1 1] [ 1 -1 0 0 -2 1 0 1 1 0 -1 1 0 0 -1 0 0 4 0 1 1 -2] [-1 0 0 1 0 1 1 0 -1 -1 1 2 0 -1 0 0 -1 0 4 0 0 0] [ 0 -1 -1 1 -1 0 1 0 1 -1 -1 1 2 2 1 1 -1 1 0 4 2 -1] [-1 -1 1 0 -1 0 0 -1 1 -1 -1 0 1 1 0 1 -1 1 0 2 6 -2] [ 0 1 0 -1 1 -1 0 0 -1 1 1 -1 -1 0 1 0 1 -2 0 -1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 937. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 -2 1 1 -2 -1 0 0 -1 -1 1 0 0 -1 1 1 0 -1] [-2 4 2 1 1 0 1 -1 1 0 -1 1 -1 1 -1 -1 -1 0 -2 -2 1 0] [-2 2 4 1 2 1 -1 0 1 1 0 0 1 2 -1 -1 0 0 0 -1 0 0] [ 0 1 1 4 2 -1 2 -1 -1 -1 0 0 1 1 1 1 1 -2 -2 -2 0 -1] [-1 1 2 2 4 -1 1 0 -1 -1 0 0 2 1 1 1 0 0 0 -2 0 0] [-2 0 1 -1 -1 4 -2 -1 2 1 0 -1 1 1 -1 0 1 1 1 1 0 0] [ 1 1 -1 2 1 -2 4 0 -1 -2 -1 1 0 0 1 1 0 -1 -2 -1 1 -1] [ 1 -1 0 -1 0 -1 0 4 0 -1 -1 1 0 -1 0 0 0 1 2 2 1 -1] [-2 1 1 -1 -1 2 -1 0 4 0 -1 0 0 1 -2 0 1 0 0 0 1 1] [-1 0 1 -1 -1 1 -2 -1 0 4 2 -1 -1 1 0 -1 -1 1 0 1 -2 0] [ 0 -1 0 0 0 0 -1 -1 -1 2 4 -2 -1 1 0 0 -1 0 1 1 -2 1] [ 0 1 0 0 0 -1 1 1 0 -1 -2 4 -1 -1 -1 0 -1 1 -1 0 0 0] [-1 -1 1 1 2 1 0 0 0 -1 -1 -1 6 1 2 0 2 0 1 0 1 -1] [-1 1 2 1 1 1 0 -1 1 1 1 -1 1 4 0 0 1 0 1 -1 0 0] [ 1 -1 -1 1 1 -1 1 0 -2 0 0 -1 2 0 4 0 0 0 0 0 0 -1] [ 0 -1 -1 1 1 0 1 0 0 -1 0 0 0 0 0 4 1 0 0 -1 0 0] [ 0 -1 0 1 0 1 0 0 1 -1 -1 -1 2 1 0 1 4 -1 0 -1 1 -1] [-1 0 0 -2 0 1 -1 1 0 1 0 1 0 0 0 0 -1 4 2 2 0 0] [ 1 -2 0 -2 0 1 -2 2 0 0 1 -1 1 1 0 0 0 2 6 2 0 0] [ 1 -2 -1 -2 -2 1 -1 2 0 1 1 0 0 -1 0 -1 -1 2 2 6 0 -1] [ 0 1 0 0 0 0 1 1 1 -2 -2 0 1 0 0 0 1 0 0 0 4 -1] [-1 0 0 -1 0 0 -1 -1 1 0 1 0 -1 0 -1 0 -1 0 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 938. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 -1 1 -1 2 -1 1 -2 0 0 0 -2 -1 0 0 0 0 0 -1] [-1 4 -1 -1 1 1 2 0 0 -1 -1 -1 1 0 2 2 1 -1 1 1 0 -1] [ 0 -1 4 -1 1 -1 1 0 0 -1 1 2 -2 1 -1 1 1 2 -1 -2 -1 1] [-1 -1 -1 4 0 0 -2 -1 -1 -1 2 1 1 1 -1 -2 0 0 -1 0 1 0] [-1 1 1 0 4 0 0 0 0 0 2 0 1 -1 2 2 1 1 1 0 -1 -1] [ 1 1 -1 0 0 4 -1 0 0 1 0 -1 2 0 -1 -1 -1 -2 -1 2 0 -2] [-1 2 1 -2 0 -1 6 -1 2 -2 0 0 -2 0 1 3 2 1 1 -1 1 1] [ 2 0 0 -1 0 0 -1 4 -2 0 -2 0 0 0 0 -1 0 0 0 0 0 0] [-1 0 0 -1 0 0 2 -2 4 0 1 0 0 0 0 2 0 0 0 0 0 0] [ 1 -1 -1 -1 0 1 -2 0 0 4 0 -2 1 -2 1 -1 -1 -1 1 1 -1 -1] [-2 -1 1 2 2 0 0 -2 1 0 6 0 0 1 1 1 1 0 0 0 -1 -1] [ 0 -1 2 1 0 -1 0 0 0 -2 0 4 -1 2 -2 -1 0 2 -1 -2 0 1] [ 0 1 -2 1 1 2 -2 0 0 1 0 -1 4 0 1 0 -1 -1 0 1 0 -2] [ 0 0 1 1 -1 0 0 0 0 -2 1 2 0 4 -1 0 0 0 -1 -1 0 0] [-2 2 -1 -1 2 -1 1 0 0 1 1 -2 1 -1 6 3 0 -1 3 1 0 0] [-1 2 1 -2 2 -1 3 -1 2 -1 1 -1 0 0 3 6 1 0 2 0 0 0] [ 0 1 1 0 1 -1 2 0 0 -1 1 0 -1 0 0 1 4 1 0 -1 0 0] [ 0 -1 2 0 1 -2 1 0 0 -1 0 2 -1 0 -1 0 1 4 0 -2 0 1] [ 0 1 -1 -1 1 -1 1 0 0 1 0 -1 0 -1 3 2 0 0 4 0 0 0] [ 0 1 -2 0 0 2 -1 0 0 1 0 -2 1 -1 1 0 -1 -2 0 4 1 -1] [ 0 0 -1 1 -1 0 1 0 0 -1 -1 0 0 0 0 0 0 0 0 1 4 1] [-1 -1 1 0 -1 -2 1 0 0 -1 -1 1 -2 0 0 0 0 1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 939. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 1 1 0 0 -2 -1 -1 -2 1 -1 -2 2 1 -1 -1 -1 0] [ 1 4 0 0 0 -1 2 1 0 0 0 -2 0 -1 -1 0 -1 0 -1 -2 0 1] [ 2 0 4 -2 -1 0 1 0 -1 -2 -1 -1 -1 0 0 -2 1 1 -1 1 -1 1] [-2 0 -2 4 2 0 -1 1 -1 2 1 0 0 -1 0 1 -2 -2 0 -1 1 0] [-1 0 -1 2 4 0 -2 -1 1 1 -1 0 0 -2 0 2 -1 -1 0 -2 -1 0] [ 1 -1 0 0 0 4 -2 0 0 0 0 1 0 1 1 -2 0 1 0 -1 1 0] [ 1 2 1 -1 -2 -2 6 2 -1 -1 1 0 1 0 -2 0 1 -1 1 1 0 2] [ 0 1 0 1 -1 0 2 4 -2 1 2 -1 0 0 -1 0 -1 0 1 -1 1 0] [ 0 0 -1 -1 1 0 -1 -2 4 -1 -2 0 1 0 0 0 1 0 0 -1 -1 0] [-2 0 -2 2 1 0 -1 1 -1 4 2 0 0 0 0 2 -2 0 0 -1 1 0] [-1 0 -1 1 -1 0 1 2 -2 2 4 0 0 0 0 1 -1 0 0 1 2 0] [-1 -2 -1 0 0 1 0 -1 0 0 0 4 1 0 0 1 1 0 1 1 1 0] [-2 0 -1 0 0 0 1 0 1 0 0 1 4 0 1 1 -1 0 2 1 1 1] [ 1 -1 0 -1 -2 1 0 0 0 0 0 0 0 4 1 -2 1 0 0 1 0 -1] [-1 -1 0 0 0 1 -2 -1 0 0 0 0 1 1 4 0 0 0 0 2 0 -1] [-2 0 -2 1 2 -2 0 0 0 2 1 1 1 -2 0 6 0 0 1 0 0 0] [ 2 -1 1 -2 -1 0 1 -1 1 -2 -1 1 -1 1 0 0 4 0 0 1 -1 0] [ 1 0 1 -2 -1 1 -1 0 0 0 0 0 0 0 0 0 0 4 0 0 1 0] [-1 -1 -1 0 0 0 1 1 0 0 0 1 2 0 0 1 0 0 4 0 0 0] [-1 -2 1 -1 -2 -1 1 -1 -1 -1 1 1 1 1 2 0 1 0 0 6 1 0] [-1 0 -1 1 -1 1 0 1 -1 1 2 1 1 0 0 0 -1 1 0 1 4 0] [ 0 1 1 0 0 0 2 0 0 0 0 0 1 -1 -1 0 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 940. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 0 -1 -2 1 -2 2 -2 1 -2 -1 1 -1 1 -1 -2 0 0] [-2 4 2 -1 1 0 0 1 -2 1 -1 2 0 2 0 0 0 -1 0 2 0 -1] [-2 2 4 -1 2 1 0 2 0 0 -2 2 -1 2 1 -1 0 -1 1 2 0 0] [ 1 -1 -1 4 1 -1 0 -1 1 0 -1 -1 1 0 -1 2 1 2 -1 -1 -1 1] [-1 1 2 1 4 -1 0 1 0 0 -1 1 1 1 -1 1 0 1 -1 1 0 0] [ 0 0 1 -1 -1 4 1 1 -1 1 0 0 -1 0 2 -2 0 -2 1 0 0 -1] [-1 0 0 0 0 1 4 0 -1 0 0 1 1 0 0 0 2 -1 1 1 1 1] [-2 1 2 -1 1 1 0 4 0 0 0 1 -1 1 2 -1 -1 -1 0 1 0 0] [ 1 -2 0 1 0 -1 -1 0 4 -2 -1 -1 0 0 0 1 -1 1 0 -1 -1 1] [-2 1 0 0 0 1 0 0 -2 6 -2 1 -1 0 1 0 0 -1 -1 1 1 0] [ 2 -1 -2 -1 -1 0 0 0 -1 -2 6 -2 1 -2 -1 0 0 1 0 -2 0 0] [-2 2 2 -1 1 0 1 1 -1 1 -2 4 0 2 1 0 0 -1 0 2 1 0] [ 1 0 -1 1 1 -1 1 -1 0 -1 1 0 4 -1 -1 1 1 0 0 0 1 0] [-2 2 2 0 1 0 0 1 0 0 -2 2 -1 4 0 0 0 0 0 1 -1 0] [-1 0 1 -1 -1 2 0 2 0 1 -1 1 -1 0 4 -1 -1 -2 1 1 1 -1] [ 1 0 -1 2 1 -2 0 -1 1 0 0 0 1 0 -1 4 -1 2 -2 0 0 1] [-1 0 0 1 0 0 2 -1 -1 0 0 0 1 0 -1 -1 4 0 2 0 0 1] [ 1 -1 -1 2 1 -2 -1 -1 1 -1 1 -1 0 0 -2 2 0 4 -1 -1 -1 1] [-1 0 1 -1 -1 1 1 0 0 -1 0 0 0 0 1 -2 2 -1 4 0 0 0] [-2 2 2 -1 1 0 1 1 -1 1 -2 2 0 1 1 0 0 -1 0 4 2 0] [ 0 0 0 -1 0 0 1 0 -1 1 0 1 1 -1 1 0 0 -1 0 2 4 0] [ 0 -1 0 1 0 -1 1 0 1 0 0 0 0 0 -1 1 1 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 941. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 0 0 -2 0 0 0 -1 1 2 0 0 -1 1 0 0 0 1] [ 2 4 -2 1 -1 0 0 -2 -1 0 0 -1 2 0 -1 -1 0 1 0 0 0 1] [-1 -2 6 -3 2 -1 2 -1 2 -2 1 1 -1 -1 -1 1 1 1 1 -1 -2 1] [ 2 1 -3 6 -1 2 -1 -1 -1 1 1 1 -1 2 -1 1 -2 1 1 -1 1 1] [ 0 -1 2 -1 4 -1 2 0 2 -2 1 1 -1 -1 0 0 0 1 1 0 -2 1] [ 0 0 -1 2 -1 4 -2 0 0 1 1 1 0 0 0 2 -2 -1 -1 -1 1 1] [ 0 0 2 -1 2 -2 4 0 0 -2 1 1 0 0 0 -1 1 2 2 -1 -2 1] [-2 -2 -1 -1 0 0 0 4 0 0 0 0 0 0 2 0 0 -1 0 1 1 -1] [ 0 -1 2 -1 2 0 0 0 4 -2 1 0 -1 0 0 0 0 0 0 0 -1 1] [ 0 0 -2 1 -2 1 -2 0 -2 4 -2 0 0 0 0 1 0 -2 -2 0 2 -1] [ 0 0 1 1 1 1 1 0 1 -2 4 0 0 0 0 1 0 1 1 0 -1 2] [-1 -1 1 1 1 1 1 0 0 0 0 4 -2 0 -1 0 0 1 1 -1 -1 0] [ 1 2 -1 -1 -1 0 0 0 -1 0 0 -2 4 0 0 0 0 0 -1 0 1 0] [ 2 0 -1 2 -1 0 0 0 0 0 0 0 0 4 0 0 0 0 1 0 1 0] [ 0 -1 -1 -1 0 0 0 2 0 0 0 -1 0 0 4 -1 0 -1 -1 1 0 0] [ 0 -1 1 1 0 2 -1 0 0 1 1 0 0 0 -1 4 -1 -1 0 -1 1 1] [-1 0 1 -2 0 -2 1 0 0 0 0 0 0 0 0 -1 4 0 0 1 0 0] [ 1 1 1 1 1 -1 2 -1 0 -2 1 1 0 0 -1 -1 0 4 2 0 -1 1] [ 0 0 1 1 1 -1 2 0 0 -2 1 1 -1 1 -1 0 0 2 4 -1 -1 1] [ 0 0 -1 -1 0 -1 -1 1 0 0 0 -1 0 0 1 -1 1 0 -1 4 1 -1] [ 0 0 -2 1 -2 1 -2 1 -1 2 -1 -1 1 1 0 1 0 -1 -1 1 4 -1] [ 1 1 1 1 1 1 1 -1 1 -1 2 0 0 0 0 1 0 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 942. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 2 1 0 -2 0 2 0 -1 -2 0 -1 2 -1 -1 0 -1 0] [-2 4 2 -1 1 -1 1 1 2 -1 -2 0 2 2 -1 0 -2 -1 2 0 1 1] [-2 2 4 0 2 -1 -1 0 2 -1 -1 -1 0 2 -1 1 -1 1 0 1 1 1] [ 1 -1 0 4 0 -1 -1 1 0 1 1 -1 -2 -2 1 1 -1 0 -1 0 -2 0] [-1 1 2 0 4 1 1 0 1 1 1 -2 0 1 -2 -1 -2 -1 0 2 -1 2] [ 2 -1 -1 -1 1 6 3 -1 -1 1 2 0 0 -2 0 -3 2 -1 -1 2 1 2] [ 1 1 -1 -1 1 3 6 -1 -1 1 0 0 0 0 -1 -2 0 -2 1 1 1 2] [ 0 1 0 1 0 -1 -1 4 0 1 -1 -1 1 0 0 -1 0 -1 1 -1 -2 0] [-2 2 2 0 1 -1 -1 0 4 0 -1 -1 0 0 0 1 -2 0 0 0 0 1] [ 0 -1 -1 1 1 1 1 1 0 4 1 -1 -1 -2 0 -1 -1 -1 -1 1 -2 1] [ 2 -2 -1 1 1 2 0 -1 -1 1 4 -1 -1 -2 0 -1 0 0 -2 1 -1 1] [ 0 0 -1 -1 -2 0 0 -1 -1 -1 -1 4 1 1 0 0 1 1 0 0 2 -2] [-1 2 0 -2 0 0 0 1 0 -1 -1 1 4 1 -1 -1 0 -1 2 0 1 0] [-2 2 2 -2 1 -2 0 0 0 -2 -2 1 1 6 -1 0 -1 1 1 0 2 -1] [ 0 -1 -1 1 -2 0 -1 0 0 0 0 0 -1 -1 4 0 0 1 -1 -1 0 0] [-1 0 1 1 -1 -3 -2 -1 1 -1 -1 0 -1 0 0 4 -1 1 0 -1 0 -1] [ 2 -2 -1 -1 -2 2 0 0 -2 -1 0 1 0 -1 0 -1 6 1 -1 -1 2 -1] [-1 -1 1 0 -1 -1 -2 -1 0 -1 0 1 -1 1 1 1 1 4 -1 0 2 -1] [-1 2 0 -1 0 -1 1 1 0 -1 -2 0 2 1 -1 0 -1 -1 4 -1 0 0] [ 0 0 1 0 2 2 1 -1 0 1 1 0 0 0 -1 -1 -1 0 -1 4 1 1] [-1 1 1 -2 -1 1 1 -2 0 -2 -1 2 1 2 0 0 2 2 0 1 6 -1] [ 0 1 1 0 2 2 2 0 1 1 1 -2 0 -1 0 -1 -1 -1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 943. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 0 -1 -2 0 -1 -1 1 -2 2 -2 -1 2 -1 0 1 1 0 -2] [ 1 4 -1 1 1 1 -1 1 -1 1 0 0 2 -1 -1 -1 -2 -1 2 2 0 -2] [ 0 -1 4 -2 -2 0 -1 0 2 1 1 -1 -1 -1 1 1 1 0 -1 -1 -1 2] [-2 1 -2 6 0 2 2 1 -1 -1 0 0 -1 0 -1 -1 -1 -1 0 1 1 1] [ 0 1 -2 0 4 1 -1 -1 -1 1 -1 1 1 1 -1 -2 -1 -1 1 1 0 -2] [-1 1 0 2 1 4 -1 0 -1 1 1 -1 0 0 -1 0 0 -1 0 0 0 1] [-2 -1 -1 2 -1 -1 6 -1 1 -1 0 2 -3 1 1 0 0 2 -2 0 2 2] [ 0 1 0 1 -1 0 -1 4 1 -1 1 0 1 0 -1 -1 -1 -1 0 1 -1 1] [-1 -1 2 -1 -1 -1 1 1 4 0 0 1 -2 1 0 0 1 0 -1 -1 0 2] [-1 1 1 -1 1 1 -1 -1 0 4 0 1 0 1 1 -2 0 0 0 0 0 0] [ 1 0 1 0 -1 1 0 1 0 0 4 -2 0 -1 -1 1 -1 1 -2 1 1 2] [-2 0 -1 0 1 -1 2 0 1 1 -2 4 -1 2 1 -2 0 0 0 0 0 0] [ 2 2 -1 -1 1 0 -3 1 -2 0 0 -1 4 -1 -1 0 -1 -1 2 1 -1 -3] [-2 -1 -1 0 1 0 1 0 1 1 -1 2 -1 4 1 -2 1 0 -1 -1 1 1] [-1 -1 1 -1 -1 -1 1 -1 0 1 -1 1 -1 1 4 -1 0 1 -1 -1 0 1] [ 2 -1 1 -1 -2 0 0 -1 0 -2 1 -2 0 -2 -1 6 1 0 0 -1 1 0] [-1 -2 1 -1 -1 0 0 -1 1 0 -1 0 -1 1 0 1 4 0 0 -2 0 1] [ 0 -1 0 -1 -1 -1 2 -1 0 0 1 0 -1 0 1 0 0 4 -1 0 1 0] [ 1 2 -1 0 1 0 -2 0 -1 0 -2 0 2 -1 -1 0 0 -1 4 0 -1 -3] [ 1 2 -1 1 1 0 0 1 -1 0 1 0 1 -1 -1 -1 -2 0 0 4 1 -1] [ 0 0 -1 1 0 0 2 -1 0 0 1 0 -1 1 0 1 0 1 -1 1 4 0] [-2 -2 2 1 -2 1 2 1 2 0 2 0 -3 1 1 0 1 0 -3 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 944. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -2 0 -1 1 1 -1 1 0 -1 -2 1 -2 2 -1 2 -1 0 -2 0] [-1 4 1 0 0 -1 1 -1 -1 -2 -1 2 2 -2 2 -1 0 0 1 0 0 -1] [ 0 1 4 1 0 0 2 1 -2 1 0 2 1 1 2 0 -1 -1 0 0 -1 1] [-2 0 1 4 0 2 0 1 1 -1 0 1 2 1 1 -2 0 -1 0 0 0 0] [ 0 0 0 0 4 1 -1 1 0 0 2 0 -1 1 -1 0 -1 2 1 2 -2 -2] [-1 -1 0 2 1 6 -2 -1 1 1 0 1 2 -1 -2 -2 1 1 -2 0 0 -1] [ 1 1 2 0 -1 -2 6 -1 -2 0 -2 0 1 -1 0 2 1 -2 1 -2 -2 1] [ 1 -1 1 1 1 -1 -1 6 1 0 1 1 -3 3 0 1 -2 0 -1 1 -2 0] [-1 -1 -2 1 0 1 -2 1 4 0 0 0 0 1 0 -1 1 -1 0 0 1 -1] [ 1 -2 1 -1 0 1 0 0 0 4 0 0 -1 1 -1 1 0 -1 -1 0 0 1] [ 0 -1 0 0 2 0 -2 1 0 0 4 0 -2 2 1 -1 -2 1 1 2 -1 -1] [-1 2 2 1 0 1 0 1 0 0 0 4 1 0 2 -1 0 -1 0 0 0 0] [-2 2 1 2 -1 2 1 -3 0 -1 -2 1 6 -2 1 -2 2 -1 0 -1 2 0] [ 1 -2 1 1 1 -1 -1 3 1 1 2 0 -2 6 1 0 -2 1 1 2 -1 1] [-2 2 2 1 -1 -2 0 0 0 -1 1 2 1 1 6 -2 -1 -2 2 0 2 1] [ 2 -1 0 -2 0 -2 2 1 -1 1 -1 -1 -2 0 -2 4 0 0 0 -1 -1 1] [-1 0 -1 0 -1 1 1 -2 1 0 -2 0 2 -2 -1 0 4 -1 0 -2 1 0] [ 2 0 -1 -1 2 1 -2 0 -1 -1 1 -1 -1 1 -2 0 -1 6 0 2 -1 -1] [-1 1 0 0 1 -2 1 -1 0 -1 1 0 0 1 2 0 0 0 4 0 0 0] [ 0 0 0 0 2 0 -2 1 0 0 2 0 -1 2 0 -1 -2 2 0 4 0 -1] [-2 0 -1 0 -2 0 -2 -2 1 0 -1 0 2 -1 2 -1 1 -1 0 0 6 1] [ 0 -1 1 0 -2 -1 1 0 -1 1 -1 0 0 1 1 1 0 -1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 945. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 -1 -1 -2 -1 1 1 -1 0 0 -1 1 2 -2 0 -2 -1 -1 0] [-2 4 -2 1 1 1 1 0 1 -2 1 0 0 0 0 -2 1 1 1 0 0 1] [ 2 -2 4 -1 0 -1 -2 -1 -1 1 -1 0 -1 -1 1 2 -1 0 -2 -1 -1 -1] [ 1 1 -1 4 1 0 1 -1 2 -1 0 -1 1 -1 0 1 0 1 -1 -1 0 0] [-1 1 0 1 4 -1 2 -1 0 0 1 -1 0 0 -1 -1 1 1 -1 0 1 1] [-1 1 -1 0 -1 4 -1 1 0 -1 -1 -1 1 1 -1 1 -1 1 2 1 1 -1] [-2 1 -2 1 2 -1 6 -1 1 0 0 -1 1 -1 0 -3 2 1 0 -1 0 1] [-1 0 -1 -1 -1 1 -1 4 -2 1 -1 0 1 1 -1 1 1 -2 1 1 1 0] [ 1 1 -1 2 0 0 1 -2 4 -1 1 0 1 -1 0 0 -1 2 0 -1 0 0] [ 1 -2 1 -1 0 -1 0 1 -1 4 0 -1 1 0 -1 1 0 0 -1 0 1 0] [-1 1 -1 0 1 -1 0 -1 1 0 4 0 -1 0 -1 -1 1 1 0 0 1 1] [ 0 0 0 -1 -1 -1 -1 0 0 -1 0 4 -1 1 0 0 -1 -1 1 1 0 1] [ 0 0 -1 1 0 1 1 1 1 1 -1 -1 4 1 -1 1 -1 1 0 1 1 -1] [-1 0 -1 -1 0 1 -1 1 -1 0 0 1 1 4 -2 0 -1 0 1 2 1 0] [ 1 0 1 0 -1 -1 0 -1 0 -1 -1 0 -1 -2 4 -1 0 -1 -1 -1 -2 0] [ 2 -2 2 1 -1 1 -3 1 0 1 -1 0 1 0 -1 6 -1 0 -1 0 1 -1] [-2 1 -1 0 1 -1 2 1 -1 0 1 -1 -1 -1 0 -1 4 -1 0 -1 0 1] [ 0 1 0 1 1 1 1 -2 2 0 1 -1 1 0 -1 0 -1 4 0 0 1 0] [-2 1 -2 -1 -1 2 0 1 0 -1 0 1 0 1 -1 -1 0 0 4 1 1 0] [-1 0 -1 -1 0 1 -1 1 -1 0 0 1 1 2 -1 0 -1 0 1 4 2 0] [-1 0 -1 0 1 1 0 1 0 1 1 0 1 1 -2 1 0 1 1 2 4 0] [ 0 1 -1 0 1 -1 1 0 0 0 1 1 -1 0 0 -1 1 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 946. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 2 1 -1 0 1 1 1 0 -1 1 1 1 -1 0 0 -1] [ 1 4 -1 0 2 1 1 1 -1 1 1 0 -1 1 1 0 2 -1 0 -1 -1 1] [-1 -1 4 -1 0 0 0 -1 1 1 -1 1 0 1 0 1 0 0 2 -1 -1 0] [-1 0 -1 4 0 0 1 1 -1 -1 1 -1 0 0 1 -2 0 0 -1 -1 -1 0] [ 1 2 0 0 4 2 1 0 0 2 0 -1 -1 2 0 0 0 -1 1 0 0 0] [ 2 1 0 0 2 4 2 0 0 1 0 1 1 1 0 0 0 1 -1 0 0 0] [ 2 1 0 1 1 2 4 0 -1 0 0 1 1 0 0 0 0 1 -1 0 -1 -1] [ 1 1 -1 1 0 0 0 4 0 0 1 0 0 -1 1 -1 1 0 -1 -1 0 0] [-1 -1 1 -1 0 0 -1 0 4 2 -1 0 1 -1 -1 -1 0 1 0 0 1 -1] [ 0 1 1 -1 2 1 0 0 2 4 -1 0 -1 1 0 -1 0 0 1 0 1 -1] [ 1 1 -1 1 0 0 0 1 -1 -1 4 0 0 1 1 1 2 1 0 -2 0 0] [ 1 0 1 -1 -1 1 1 0 0 0 0 4 0 -1 1 1 1 0 0 0 0 0] [ 1 -1 0 0 -1 1 1 0 1 -1 0 0 4 -1 -2 0 0 2 -2 0 0 0] [ 0 1 1 0 2 1 0 -1 -1 1 1 -1 -1 4 1 1 0 0 2 -1 0 0] [-1 1 0 1 0 0 0 1 -1 0 1 1 -2 1 4 0 0 -1 1 -1 0 0] [ 1 0 1 -2 0 0 0 -1 -1 -1 1 1 0 1 0 4 1 0 1 0 0 1] [ 1 2 0 0 0 0 0 1 0 0 2 1 0 0 0 1 4 0 0 -2 -1 1] [ 1 -1 0 0 -1 1 1 0 1 0 1 0 2 0 -1 0 0 4 -1 0 1 -1] [-1 0 2 -1 1 -1 -1 -1 0 1 0 0 -2 2 1 1 0 -1 4 -1 0 0] [ 0 -1 -1 -1 0 0 0 -1 0 0 -2 0 0 -1 -1 0 -2 0 -1 4 2 0] [ 0 -1 -1 -1 0 0 -1 0 1 1 0 0 0 0 0 0 -1 1 0 2 4 -1] [-1 1 0 0 0 0 -1 0 -1 -1 0 0 0 0 0 1 1 -1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 947. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 2 -1 -2 1 -1 -1 -1 0 -1 -1 1 -2 1 0 -1 1 1 -2 -2] [ 2 4 2 2 1 -1 0 -1 1 -2 -1 0 -1 2 0 0 -1 0 2 2 -2 -1] [ 1 2 4 0 -1 -2 -1 0 2 -1 -1 1 0 0 -1 -1 0 1 1 0 -2 1] [ 2 2 0 4 1 0 0 0 -1 -1 -1 -1 0 2 0 1 -1 0 2 2 0 -2] [-1 1 -1 1 6 3 1 -2 0 -2 -2 -1 -1 2 3 -1 -2 1 1 2 2 0] [-2 -1 -2 0 3 6 0 0 0 -1 1 0 -1 1 1 -1 -2 1 -1 1 3 0] [ 1 0 -1 0 1 0 4 0 -2 1 1 -1 -2 0 1 -1 0 -2 0 0 0 -1] [-1 -1 0 0 -2 0 0 4 0 1 1 1 1 -1 -1 -1 0 0 -1 -1 0 0] [-1 1 2 -1 0 0 -2 0 4 -1 0 2 0 0 -1 0 0 2 0 0 0 2] [-1 -2 -1 -1 -2 -1 1 1 -1 4 1 0 0 -2 1 0 2 -1 0 -2 1 1] [ 0 -1 -1 -1 -2 1 1 1 0 1 4 0 -1 -1 -2 0 1 -1 -2 -1 0 0] [-1 0 1 -1 -1 0 -1 1 2 0 0 4 1 0 0 0 -1 0 0 0 -1 1] [-1 -1 0 0 -1 -1 -2 1 0 0 -1 1 4 -1 0 0 0 1 0 -1 -1 0] [ 1 2 0 2 2 1 0 -1 0 -2 -1 0 -1 4 1 1 -1 0 1 2 0 -1] [-2 0 -1 0 3 1 1 -1 -1 1 -2 0 0 1 6 0 -1 -1 2 1 2 1] [ 1 0 -1 1 -1 -1 -1 -1 0 0 0 0 0 1 0 4 0 -1 1 1 1 0] [ 0 -1 0 -1 -2 -2 0 0 0 2 1 -1 0 -1 -1 0 4 0 -1 -2 0 1] [-1 0 1 0 1 1 -2 0 2 -1 -1 0 1 0 -1 -1 0 4 0 0 1 1] [ 1 2 1 2 1 -1 0 -1 0 0 -2 0 0 1 2 1 -1 0 4 1 0 0] [ 1 2 0 2 2 1 0 -1 0 -2 -1 0 -1 2 1 1 -2 0 1 4 1 -1] [-2 -2 -2 0 2 3 0 0 0 1 0 -1 -1 0 2 1 0 1 0 1 6 1] [-2 -1 1 -2 0 0 -1 0 2 1 0 1 0 -1 1 0 1 1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 948. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 0 0 2 1 0 0 1 -2 1 -1 -2 2 2 1 1 2 1] [-2 4 1 -1 1 1 1 0 -1 1 0 -1 2 1 -1 2 -2 -2 -1 -2 -2 -1] [ 0 1 4 1 2 1 1 2 1 1 0 1 1 -1 -2 2 0 -1 -1 1 -1 1] [ 0 -1 1 4 2 1 0 1 -1 0 1 1 1 -1 1 -1 -1 -1 -1 2 -1 2] [-1 1 2 2 4 0 0 0 0 0 0 1 1 0 -1 1 -1 -2 -2 1 -1 0] [ 0 1 1 1 0 4 2 1 -1 2 1 0 0 1 -1 -1 0 0 0 1 0 1] [ 0 1 1 0 0 2 4 2 -1 0 -1 1 -1 0 -1 0 0 0 -1 -1 1 1] [ 2 0 2 1 0 1 2 6 1 1 -1 0 1 0 -2 -1 0 0 -1 1 -1 2] [ 1 -1 1 -1 0 -1 -1 1 4 0 0 0 -1 0 -1 1 1 0 1 1 1 0] [ 0 1 1 0 0 2 0 1 0 4 0 0 2 1 -2 -1 0 0 1 0 -2 0] [ 0 0 0 1 0 1 -1 -1 0 0 4 -1 -1 0 0 0 -1 0 0 2 0 1] [ 1 -1 1 1 1 0 1 0 0 0 -1 4 -1 0 -1 -1 1 1 0 0 1 0] [-2 2 1 1 1 0 -1 1 -1 2 -1 -1 6 -1 0 1 -2 -2 -1 -1 -4 0] [ 1 1 -1 -1 0 1 0 0 0 1 0 0 -1 4 -1 -2 0 0 1 0 1 -1] [-1 -1 -2 1 -1 -1 -1 -2 -1 -2 0 -1 0 -1 6 1 0 -1 1 0 0 0] [-2 2 2 -1 1 -1 0 -1 1 -1 0 -1 1 -2 1 6 0 -2 -1 -1 -1 0] [ 2 -2 0 -1 -1 0 0 0 1 0 -1 1 -2 0 0 0 4 2 1 1 2 0] [ 2 -2 -1 -1 -2 0 0 0 0 0 0 1 -2 0 -1 -2 2 4 1 1 2 0] [ 1 -1 -1 -1 -2 0 -1 -1 1 1 0 0 -1 1 1 -1 1 1 4 -1 1 0] [ 1 -2 1 2 1 1 -1 1 1 0 2 0 -1 0 0 -1 1 1 -1 6 1 1] [ 2 -2 -1 -1 -1 0 1 -1 1 -2 0 1 -4 1 0 -1 2 2 1 1 6 0] [ 1 -1 1 2 0 1 1 2 0 0 1 0 0 -1 0 0 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 949. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 2 0 1 1 1 0 0 2 1 2 0 1 0 -1 0 1 0 -2] [ 1 4 2 1 2 0 -1 0 -1 -1 1 0 1 1 1 1 1 -2 0 2 -1 -1] [ 2 2 4 2 2 0 1 1 -1 -1 1 1 1 1 1 2 0 -2 1 2 -1 -2] [ 1 1 2 4 1 0 2 2 1 1 2 -1 -1 2 -1 1 0 -1 -1 1 -2 -1] [ 2 2 2 1 4 0 1 1 -1 -1 1 1 1 2 0 2 0 -2 1 2 -1 -2] [ 0 0 0 0 0 4 1 -2 1 -1 0 1 -2 1 -1 -1 1 0 1 0 2 0] [ 1 -1 1 2 1 1 6 2 2 1 0 0 -2 0 -2 0 1 1 -1 1 -2 -2] [ 1 0 1 2 1 -2 2 6 2 1 2 -2 0 -1 0 2 -2 -1 0 1 -2 -1] [ 1 -1 -1 1 -1 1 2 2 6 1 0 -1 -2 1 -1 -1 -1 2 -1 -1 1 0] [ 0 -1 -1 1 -1 -1 1 1 1 4 1 -1 0 -1 -2 0 1 1 -2 -1 -2 0] [ 0 1 1 2 1 0 0 2 0 1 4 -2 0 0 0 2 0 -2 0 0 -2 -1] [ 2 0 1 -1 1 1 0 -2 -1 -1 -2 4 1 1 0 0 0 0 1 1 2 -1] [ 1 1 1 -1 1 -2 -2 0 -2 0 0 1 4 -1 2 2 0 -1 1 0 0 -1] [ 2 1 1 2 2 1 0 -1 1 -1 0 1 -1 6 -1 0 0 -1 0 1 1 0] [ 0 1 1 -1 0 -1 -2 0 -1 -2 0 0 2 -1 4 1 -1 -1 1 0 1 0] [ 1 1 2 1 2 -1 0 2 -1 0 2 0 2 0 1 4 0 -2 1 1 -1 -1] [ 0 1 0 0 0 1 1 -2 -1 1 0 0 0 0 -1 0 4 0 -1 0 -1 0] [-1 -2 -2 -1 -2 0 1 -1 2 1 -2 0 -1 -1 -1 -2 0 4 -1 -1 1 1] [ 0 0 1 -1 1 1 -1 0 -1 -2 0 1 1 0 1 1 -1 -1 4 0 2 0] [ 1 2 2 1 2 0 1 1 -1 -1 0 1 0 1 0 1 0 -1 0 4 0 -1] [ 0 -1 -1 -2 -1 2 -2 -2 1 -2 -2 2 0 1 1 -1 -1 1 2 0 6 1] [-2 -1 -2 -1 -2 0 -2 -1 0 0 -1 -1 -1 0 0 -1 0 1 0 -1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 950. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 -1 -1 1 2 -2 1 0 -1 -1 0 -1 -1 -1 0 1 0 0] [ 0 4 -1 1 0 -1 2 1 -1 1 1 1 0 1 1 -1 1 1 0 -1 1 -2] [ 1 -1 4 0 -1 -1 0 0 2 0 1 1 1 0 -1 0 -1 0 1 0 -1 -1] [-2 1 0 4 0 0 0 1 -2 2 -1 0 0 0 0 1 1 0 -1 0 -1 -2] [ 0 0 -1 0 4 2 -2 1 -2 0 0 0 -2 -1 -1 -1 -1 0 0 0 -1 2] [-1 -1 -1 0 2 4 -2 -1 -2 0 0 -1 0 -1 -1 -1 0 -1 -1 1 0 2] [-1 2 0 0 -2 -2 6 -1 0 1 2 0 0 3 2 0 0 2 0 -2 1 -3] [ 1 1 0 1 1 -1 -1 4 -1 0 -1 0 -1 0 0 -1 -1 -1 1 1 0 -1] [ 2 -1 2 -2 -2 -2 0 -1 6 -2 1 2 2 -1 1 1 -1 0 0 0 1 1] [-2 1 0 2 0 0 1 0 -2 4 0 -1 0 0 -1 1 0 1 0 -1 0 -1] [ 1 1 1 -1 0 0 2 -1 1 0 4 1 0 1 0 0 0 0 -1 0 1 0] [ 0 1 1 0 0 -1 0 0 2 -1 1 4 1 0 1 0 1 1 0 -1 0 0] [-1 0 1 0 -2 0 0 -1 2 0 0 1 4 0 0 0 1 0 0 0 1 0] [-1 1 0 0 -1 -1 3 0 -1 0 1 0 0 4 1 0 0 1 1 -1 1 -2] [ 0 1 -1 0 -1 -1 2 0 1 -1 0 1 0 1 4 0 0 0 -1 -1 1 -1] [-1 -1 0 1 -1 -1 0 -1 1 1 0 0 0 0 0 4 1 0 -1 0 0 1] [-1 1 -1 1 -1 0 0 -1 -1 0 0 1 1 0 0 1 4 0 -1 0 0 0] [-1 1 0 0 0 -1 2 -1 0 1 0 1 0 1 0 0 0 4 1 -2 0 -1] [ 0 0 1 -1 0 -1 0 1 0 0 -1 0 0 1 -1 -1 -1 1 4 -1 0 0] [ 1 -1 0 0 0 1 -2 1 0 -1 0 -1 0 -1 -1 0 0 -2 -1 4 1 1] [ 0 1 -1 -1 -1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 4 0] [ 0 -2 -1 -2 2 2 -3 -1 1 -1 0 0 0 -2 -1 1 0 -1 0 1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 951. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 0 -1 0 0 0 0 0 2 -1 0 1 -1 1 0 -1 -1 -2 0] [ 2 4 -1 -2 -1 -2 0 1 -1 0 0 2 0 1 0 0 0 0 -2 1 -1 1] [ 0 -1 4 2 0 0 0 0 -1 -1 0 0 -1 -1 0 1 -1 1 -1 -1 -1 1] [-1 -2 2 6 -1 1 -1 0 0 1 2 -3 -2 0 -2 2 -1 -1 1 1 2 0] [ 0 -1 0 -1 4 2 -1 -2 1 1 0 1 1 -1 2 -1 2 1 2 0 1 0] [-1 -2 0 1 2 6 -1 0 3 2 0 -2 1 -1 0 0 1 0 4 -1 1 -2] [ 0 0 0 -1 -1 -1 4 -1 1 0 -1 1 1 -1 1 -1 -2 -1 -1 -2 -2 0] [ 0 1 0 0 -2 0 -1 4 0 -1 -1 0 0 0 -1 0 -1 1 0 1 0 0] [ 0 -1 -1 0 1 3 1 0 4 1 0 0 1 -1 1 -1 0 0 3 -1 0 -1] [ 0 0 -1 1 1 2 0 -1 1 4 1 0 1 -1 0 0 1 -2 2 1 1 0] [ 0 0 0 2 0 0 -1 -1 0 1 4 0 0 0 0 2 0 0 0 0 0 0] [ 2 2 0 -3 1 -2 1 0 0 0 0 6 2 -2 2 -1 0 1 -2 -1 -2 2] [-1 0 -1 -2 1 1 1 0 1 1 0 2 4 -1 1 -1 0 0 0 0 -1 0] [ 0 1 -1 0 -1 -1 -1 0 -1 -1 0 -2 -1 4 -1 0 1 0 -1 2 0 -1] [ 1 0 0 -2 2 0 1 -1 1 0 0 2 1 -1 4 -2 0 1 1 -1 -2 0] [-1 0 1 2 -1 0 -1 0 -1 0 2 -1 -1 0 -2 4 0 0 -1 0 1 1] [ 1 0 -1 -1 2 1 -2 -1 0 1 0 0 0 1 0 0 4 0 1 1 1 0] [ 0 0 1 -1 1 0 -1 1 0 -2 0 1 0 0 1 0 0 4 0 0 0 0] [-1 -2 -1 1 2 4 -1 0 3 2 0 -2 0 -1 1 -1 1 0 6 0 2 -1] [-1 1 -1 1 0 -1 -2 1 -1 1 0 -1 0 2 -1 0 1 0 0 6 3 1] [-2 -1 -1 2 1 1 -2 0 0 1 0 -2 -1 0 -2 1 1 0 2 3 6 0] [ 0 1 1 0 0 -2 0 0 -1 0 0 2 0 -1 0 1 0 0 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 952. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 1 -1 2 1 1 -1 0 0 2 -1 0 1 -1 1 -1 0 1 1] [-2 4 -1 1 -1 0 -2 -1 0 0 0 1 -2 0 0 -1 -1 -1 -1 1 -1 0] [ 0 -1 4 1 -1 1 0 0 1 2 -1 0 0 1 1 -1 -1 -1 2 -1 0 0] [-1 1 1 4 -1 0 -1 -2 1 1 -1 -1 -1 1 -1 -2 -2 -2 1 0 -1 1] [ 1 -1 -1 -1 4 -2 2 1 -1 -2 2 -1 2 0 -1 0 -1 1 -1 0 0 -1] [-1 0 1 0 -2 4 -1 1 -1 2 0 1 -1 1 1 1 1 0 2 1 1 1] [ 2 -2 0 -1 2 -1 4 2 1 -2 0 0 2 0 -1 1 0 2 0 0 1 0] [ 1 -1 0 -2 1 1 2 4 -1 -1 0 0 1 0 1 2 0 1 0 0 2 0] [ 1 0 1 1 -1 -1 1 -1 4 0 -1 1 0 0 0 0 -1 0 0 0 -1 0] [-1 0 2 1 -2 2 -2 -1 0 4 -1 0 -1 0 1 -1 0 -1 2 0 -1 0] [ 0 0 -1 -1 2 0 0 0 -1 -1 4 1 1 0 -1 1 0 0 -1 0 0 0] [ 0 1 0 -1 -1 1 0 0 1 0 1 4 -1 -1 1 1 1 1 0 0 0 0] [ 2 -2 0 -1 2 -1 2 1 0 -1 1 -1 4 -1 -1 0 -1 1 -1 -1 0 1] [-1 0 1 1 0 1 0 0 0 0 0 -1 -1 4 -1 0 -1 -1 1 1 1 -1] [ 0 0 1 -1 -1 1 -1 1 0 1 -1 1 -1 -1 4 1 0 0 1 0 0 -1] [ 1 -1 -1 -2 0 1 1 2 0 -1 1 1 0 0 1 4 1 1 0 1 2 0] [-1 -1 -1 -2 -1 1 0 0 -1 0 0 1 -1 -1 0 1 6 1 1 0 0 0] [ 1 -1 -1 -2 1 0 2 1 0 -1 0 1 1 -1 0 1 1 4 0 1 1 0] [-1 -1 2 1 -1 2 0 0 0 2 -1 0 -1 1 1 0 1 0 4 0 0 0] [ 0 1 -1 0 0 1 0 0 0 0 0 0 -1 1 0 1 0 1 0 4 1 0] [ 1 -1 0 -1 0 1 1 2 -1 -1 0 0 0 1 0 2 0 1 0 1 4 0] [ 1 0 0 1 -1 1 0 0 0 0 0 0 1 -1 -1 0 0 0 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 953. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 0 -1 1 -1 -2 1 -1 1 -1 2 1 2 -1 2 2 2 -1 -1] [ 1 4 -2 2 1 0 1 -1 -1 -1 0 1 1 1 1 2 -1 0 2 1 1 0] [-2 -2 4 -1 0 0 -1 2 1 1 0 0 0 -1 0 -1 0 -2 -2 0 -1 0] [ 2 2 -1 6 -1 0 2 1 -3 -1 -1 1 -2 3 -1 3 -1 0 2 2 -2 1] [ 0 1 0 -1 4 -1 0 0 1 -1 0 1 2 0 2 1 -1 -1 0 1 2 -1] [-1 0 0 0 -1 4 -1 0 -1 0 2 -2 0 0 0 1 -1 1 0 -2 1 2] [ 1 1 -1 2 0 -1 4 1 -1 -1 -1 2 0 2 0 1 1 -1 1 2 -2 0] [-1 -1 2 1 0 0 1 4 -1 -1 0 0 0 1 0 1 0 -1 -1 0 -2 0] [-2 -1 1 -3 1 -1 -1 -1 4 0 0 0 1 -2 0 -2 1 -2 -2 0 2 -1] [ 1 -1 1 -1 -1 0 -1 -1 0 4 -1 0 -1 0 1 0 -1 0 0 1 -1 -1] [-1 0 0 -1 0 2 -1 0 0 -1 4 -1 1 -1 0 -1 1 2 -1 -3 2 2] [ 1 1 0 1 1 -2 2 0 0 0 -1 4 0 1 0 0 1 -2 1 3 -1 -1] [-1 1 0 -2 2 0 0 0 1 -1 1 0 4 -1 1 0 0 -1 -1 -1 2 0] [ 2 1 -1 3 0 0 2 1 -2 0 -1 1 -1 4 0 3 -1 0 1 2 -1 0] [ 1 1 0 -1 2 0 0 0 0 1 0 0 1 0 4 1 -2 0 1 1 0 -1] [ 2 2 -1 3 1 1 1 1 -2 0 -1 0 0 3 1 6 -2 0 1 2 0 0] [-1 -1 0 -1 -1 -1 1 0 1 -1 1 1 0 -1 -2 -2 4 0 -1 -1 0 1] [ 2 0 -2 0 -1 1 -1 -1 -2 0 2 -2 -1 0 0 0 0 6 1 -2 1 1] [ 2 2 -2 2 0 0 1 -1 -2 0 -1 1 -1 1 1 1 -1 1 4 1 -1 0] [ 2 1 0 2 1 -2 2 0 0 1 -3 3 -1 2 1 2 -1 -2 1 6 -1 -2] [-1 1 -1 -2 2 1 -2 -2 2 -1 2 -1 2 -1 0 0 0 1 -1 -1 6 0] [-1 0 0 1 -1 2 0 0 -1 -1 2 -1 0 0 -1 0 1 1 0 -2 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 954. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -2 1 2 2 0 -1 1 1 1 -1 2 2 -1 2 1 1 1 0] [ 1 4 0 1 -2 0 0 2 1 1 0 0 1 1 0 0 1 -1 0 1 0 1] [-1 0 4 -1 2 -2 -1 -2 -1 1 -2 1 0 0 -1 -1 1 0 -1 -2 -1 1] [-1 1 -1 6 -1 0 0 1 2 0 -1 -1 2 0 -2 -2 0 -1 2 -1 -2 2] [-2 -2 2 -1 6 0 0 -2 0 1 0 1 0 0 0 -1 -1 -1 0 -3 0 0] [ 1 0 -2 0 0 4 2 1 0 0 2 -1 -1 -1 1 0 -1 -1 0 0 0 0] [ 2 0 -1 0 0 2 4 2 0 0 1 1 1 -2 2 0 -2 1 0 0 0 0] [ 2 2 -2 1 -2 1 2 6 0 0 1 -1 1 -1 2 1 -2 1 1 1 1 0] [ 0 1 -1 2 0 0 0 0 4 1 0 0 1 0 0 0 1 -1 1 -1 1 0] [-1 1 1 0 1 0 0 0 1 4 -1 -1 -1 1 1 0 0 -2 -1 -1 0 -1] [ 1 0 -2 -1 0 2 1 1 0 -1 4 1 0 -1 1 1 -1 0 1 0 1 0] [ 1 0 1 -1 1 -1 1 -1 0 -1 1 4 2 -1 0 0 0 1 0 -1 0 1] [ 1 1 0 2 0 -1 1 1 1 -1 0 2 4 0 0 0 0 1 1 -1 0 1] [-1 1 0 0 0 -1 -2 -1 0 1 -1 -1 0 4 0 0 1 -1 0 1 0 -1] [ 2 0 -1 -2 0 1 2 2 0 1 1 0 0 0 4 2 -2 1 0 0 2 -2] [ 2 0 -1 -2 -1 0 0 1 0 0 1 0 0 0 2 4 0 1 0 1 2 -1] [-1 1 1 0 -1 -1 -2 -2 1 0 -1 0 0 1 -2 0 4 -1 -1 0 0 1] [ 2 -1 0 -1 -1 -1 1 1 -1 -2 0 1 1 -1 1 1 -1 4 1 1 1 0] [ 1 0 -1 2 0 0 0 1 1 -1 1 0 1 0 0 0 -1 1 4 -1 0 1] [ 1 1 -2 -1 -3 0 0 1 -1 -1 0 -1 -1 1 0 1 0 1 -1 6 1 -1] [ 1 0 -1 -2 0 0 0 1 1 0 1 0 0 0 2 2 0 1 0 1 4 -2] [ 0 1 1 2 0 0 0 0 0 -1 0 1 1 -1 -2 -1 1 0 1 -1 -2 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 955. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 2 -1 1 1 1 1 -1 -1 1 -1 -1 1 0 -1 1 1 -1 0] [ 2 4 1 1 1 1 2 -1 -1 1 -2 -2 2 -2 -2 1 -1 1 -1 1 -1 0] [ 2 1 4 2 2 -1 1 -1 0 2 -2 0 0 0 1 -1 -1 -1 2 2 1 -1] [ 2 1 2 4 0 0 0 -1 1 0 0 0 1 1 -1 0 -1 0 2 0 0 1] [ 2 1 2 0 4 -1 2 0 -1 2 -1 -1 -1 0 1 0 0 -1 0 2 0 0] [-1 1 -1 0 -1 4 1 -1 -2 -1 1 -1 1 1 0 1 -1 2 -2 -1 -1 1] [ 1 2 1 0 2 1 4 0 -2 1 -2 -2 1 0 -1 0 0 1 0 1 0 0] [ 1 -1 -1 -1 0 -1 0 4 1 0 1 0 0 0 -1 1 2 -1 1 0 -1 -1] [ 1 -1 0 1 -1 -2 -2 1 4 -1 1 1 0 0 -1 0 1 -1 1 -1 0 0] [ 1 1 2 0 2 -1 1 0 -1 4 -1 0 -1 -1 1 -1 -1 -1 0 2 0 -1] [-1 -2 -2 0 -1 1 -2 1 1 -1 6 2 -2 3 1 1 1 -1 -2 -1 -1 2] [-1 -2 0 0 -1 -1 -2 0 1 0 2 4 -1 1 2 0 1 -1 0 0 0 1] [ 1 2 0 1 -1 1 1 0 0 -1 -2 -1 4 -1 -2 1 0 2 1 -1 -1 0] [-1 -2 0 1 0 1 0 0 0 -1 3 1 -1 6 0 -1 1 1 1 -1 1 2] [-1 -2 1 -1 1 0 -1 -1 -1 1 1 2 -2 0 6 -1 -1 -2 -1 1 1 0] [ 1 1 -1 0 0 1 0 1 0 -1 1 0 1 -1 -1 4 0 0 -1 0 -2 1] [ 0 -1 -1 -1 0 -1 0 2 1 -1 1 1 0 1 -1 0 4 0 1 0 -1 0] [-1 1 -1 0 -1 2 1 -1 -1 -1 -1 -1 2 1 -2 0 0 4 0 -1 0 1] [ 1 -1 2 2 0 -2 0 1 1 0 -2 0 1 1 -1 -1 1 0 6 0 1 -1] [ 1 1 2 0 2 -1 1 0 -1 2 -1 0 -1 -1 1 0 0 -1 0 4 1 -1] [-1 -1 1 0 0 -1 0 -1 0 0 -1 0 -1 1 1 -2 -1 0 1 1 4 -1] [ 0 0 -1 1 0 1 0 -1 0 -1 2 1 0 2 0 1 0 1 -1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 956. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 1 1 0 1 0 -1 1 -1 1 -1 -2 2 1 -2 0 0] [-2 4 -2 2 -1 1 0 -1 1 1 0 -1 -1 0 -1 1 1 -2 -1 2 1 1] [ 2 -2 4 -2 0 -1 0 2 -1 0 0 0 1 1 0 -2 -1 2 0 -1 -1 1] [-2 2 -2 4 0 2 -1 0 1 0 -1 1 -1 0 -1 2 2 -2 -1 1 0 0] [ 1 -1 0 0 4 0 1 0 1 -1 0 0 0 -2 0 0 1 0 1 -1 1 -1] [-1 1 -1 2 0 4 1 0 2 0 1 -1 1 0 1 1 1 -1 -2 -1 0 0] [ 1 0 0 -1 1 1 4 -1 2 1 2 -2 0 -1 2 0 -1 0 1 0 1 1] [ 1 -1 2 0 0 0 -1 4 -1 0 -1 0 1 0 -1 -1 -1 2 0 -2 -2 0] [ 0 1 -1 1 1 2 2 -1 4 1 0 -1 1 0 0 0 0 -1 0 -1 1 0] [ 1 1 0 0 -1 0 1 0 1 4 0 -1 -1 0 0 -1 -1 0 0 -1 0 0] [ 0 0 0 -1 0 1 2 -1 0 0 4 -1 0 -1 2 1 0 -1 -1 0 0 1] [-1 -1 0 1 0 -1 -2 0 -1 -1 -1 4 -1 1 -1 0 1 0 0 1 0 0] [ 1 -1 1 -1 0 1 0 1 1 -1 0 -1 4 0 0 -1 -1 1 -1 -2 0 0] [-1 0 1 0 -2 0 -1 0 0 0 -1 1 0 4 0 -1 0 0 0 1 -1 1] [ 1 -1 0 -1 0 1 2 -1 0 0 2 -1 0 0 4 0 -1 0 0 0 0 1] [-1 1 -2 2 0 1 0 -1 0 -1 1 0 -1 -1 0 4 1 -2 0 1 0 0] [-2 1 -1 2 1 1 -1 -1 0 -1 0 1 -1 0 -1 1 4 -2 -1 1 0 -1] [ 2 -2 2 -2 0 -1 0 2 -1 0 -1 0 1 0 0 -2 -2 4 1 -1 0 0] [ 1 -1 0 -1 1 -2 1 0 0 0 -1 0 -1 0 0 0 -1 1 4 0 0 0] [-2 2 -1 1 -1 -1 0 -2 -1 -1 0 1 -2 1 0 1 1 -1 0 6 2 2] [ 0 1 -1 0 1 0 1 -2 1 0 0 0 0 -1 0 0 0 0 0 2 4 0] [ 0 1 1 0 -1 0 1 0 0 0 1 0 0 1 1 0 -1 0 0 2 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 957. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 1 1 0 0 0 -2 2 2 1 0 2 1 1 1 -1 0 -1 -2] [-1 4 -1 0 0 -2 0 1 1 2 -2 0 0 0 -1 1 -1 -2 1 1 2 2] [ 0 -1 4 0 0 0 -1 -2 1 -1 2 1 1 1 2 -1 0 -1 -1 -2 1 -2] [ 2 0 0 4 2 -1 1 0 -1 0 2 2 2 1 1 1 0 -1 -1 0 1 -2] [ 1 0 0 2 4 1 2 0 1 0 1 1 1 -1 2 2 0 1 -2 0 -1 -1] [ 1 -2 0 -1 1 4 1 -1 1 -2 0 0 -1 -2 2 0 1 2 -1 0 -2 -1] [ 0 0 -1 1 2 1 4 -1 0 0 1 1 1 0 1 1 1 1 0 0 -1 1] [ 0 1 -2 0 0 -1 -1 4 -1 2 -1 -1 -1 -1 -2 1 0 0 0 2 0 0] [ 0 1 1 -1 1 1 0 -1 4 -1 0 1 -1 -1 1 0 -1 1 0 0 -1 1] [-2 2 -1 0 0 -2 0 2 -1 4 -1 -1 0 0 -2 1 -1 -2 1 1 2 1] [ 2 -2 2 2 1 0 1 -1 0 -1 6 2 1 2 2 -1 0 0 0 -2 0 -3] [ 2 0 1 2 1 0 1 -1 1 -1 2 4 1 1 1 0 1 0 0 0 0 -1] [ 1 0 1 2 1 -1 1 -1 -1 0 1 1 4 1 2 1 0 -1 -1 -1 1 -1] [ 0 0 1 1 -1 -2 0 -1 -1 0 2 1 1 4 -1 -1 0 -2 1 -2 2 0] [ 2 -1 2 1 2 2 1 -2 1 -2 2 1 2 -1 6 1 0 0 -1 -1 0 -2] [ 1 1 -1 1 2 0 1 1 0 1 -1 0 1 -1 1 4 0 0 -1 1 0 1] [ 1 -1 0 0 0 1 1 0 -1 -1 0 1 0 0 0 0 4 2 -1 0 -1 0] [ 1 -2 -1 -1 1 2 1 0 1 -2 0 0 -1 -2 0 0 2 6 -1 1 -4 1] [-1 1 -1 -1 -2 -1 0 0 0 1 0 0 -1 1 -1 -1 -1 -1 4 0 1 2] [ 0 1 -2 0 0 0 0 2 0 1 -2 0 -1 -2 -1 1 0 1 0 4 0 1] [-1 2 1 1 -1 -2 -1 0 -1 2 0 0 1 2 0 0 -1 -4 1 0 6 -1] [-2 2 -2 -2 -1 -1 1 0 1 1 -3 -1 -1 0 -2 1 0 1 2 1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 958. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -2 1 0 0 0 1 -1 1 1 -1 1 0 -2 1 -2 0 2 1 1] [ 2 4 0 0 0 -1 0 -1 0 -2 1 0 0 1 -1 -1 0 0 -1 0 1 1] [ 2 0 4 -2 1 1 1 0 0 0 1 0 -1 0 -1 0 0 -1 1 1 1 0] [-2 0 -2 4 0 -1 1 -1 -1 -1 -1 0 0 0 -1 1 -1 1 -1 -1 -1 0] [ 1 0 1 0 4 -1 2 1 1 -1 0 2 -2 0 1 -1 1 0 0 0 1 0] [ 0 -1 1 -1 -1 4 0 0 1 0 0 0 0 1 0 1 1 -1 2 1 1 1] [ 0 0 1 1 2 0 4 1 -1 -1 1 1 -1 -1 -1 0 0 1 0 -1 1 1] [ 0 -1 0 -1 1 0 1 4 -1 1 1 1 1 -1 1 0 0 0 -1 0 0 1] [ 1 0 0 -1 1 1 -1 -1 4 0 -1 1 -2 1 2 -1 1 -1 2 1 1 0] [-1 -2 0 -1 -1 0 -1 1 0 4 -1 0 1 -2 0 0 0 0 0 0 0 0] [ 1 1 1 -1 0 0 1 1 -1 -1 4 0 0 -1 -1 -1 0 -1 -1 0 0 1] [ 1 0 0 0 2 0 1 1 1 0 0 4 -2 -1 1 -2 2 0 -1 0 0 0] [-1 0 -1 0 -2 0 -1 1 -2 1 0 -2 4 0 -1 1 -1 0 -1 0 0 1] [ 1 1 0 0 0 1 -1 -1 1 -2 -1 -1 0 4 1 1 0 -1 1 1 1 0] [ 0 -1 -1 -1 1 0 -1 1 2 0 -1 1 -1 1 4 0 1 0 1 0 0 -1] [-2 -1 0 1 -1 1 0 0 -1 0 -1 -2 1 1 0 4 -1 1 1 -1 0 0] [ 1 0 0 -1 1 1 0 0 1 0 0 2 -1 0 1 -1 4 -1 0 1 1 1] [-2 0 -1 1 0 -1 1 0 -1 0 -1 0 0 -1 0 1 -1 4 0 -2 0 -1] [ 0 -1 1 -1 0 2 0 -1 2 0 -1 -1 -1 1 1 1 0 0 4 0 1 0] [ 2 0 1 -1 0 1 -1 0 1 0 0 0 0 1 0 -1 1 -2 0 4 1 1] [ 1 1 1 -1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 4 1] [ 1 1 0 0 0 1 1 1 0 0 1 0 1 0 -1 0 1 -1 0 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 959. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 0 0 1 2 0 -1 0 -1 2 2 0 0 -1 -1 1 1 -1] [-1 6 -3 1 2 -1 2 -1 1 1 -1 2 2 -1 -2 2 -1 -2 2 2 -1 3] [ 2 -3 6 -2 -1 2 -1 2 1 -2 -1 -1 -1 2 1 -1 -1 1 -1 -1 2 0] [ 0 1 -2 4 0 -2 1 -1 0 0 1 1 -1 1 1 2 -1 -1 1 1 -1 1] [ 0 2 -1 0 4 -1 2 -1 0 -1 0 2 1 0 -2 0 0 -1 0 1 -1 2] [ 0 -1 2 -2 -1 4 -2 0 0 0 0 -1 -1 0 0 0 0 0 0 0 0 -1] [ 0 2 -1 1 2 -2 4 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2] [ 1 -1 2 -1 -1 0 0 4 0 1 -1 0 0 1 1 0 0 0 0 0 1 1] [ 2 1 1 0 0 0 0 0 4 1 0 -1 1 0 1 1 0 -1 0 1 0 0] [ 0 1 -2 0 -1 0 0 1 1 4 0 -1 1 -1 1 1 1 -1 0 1 -1 0] [-1 -1 -1 1 0 0 0 -1 0 0 4 -1 0 0 0 0 0 0 -1 -1 -1 0] [ 0 2 -1 1 2 -1 2 0 -1 -1 -1 4 0 0 -1 1 0 -1 1 1 0 2] [-1 2 -1 -1 1 -1 2 0 1 1 0 0 4 -2 -1 -1 1 0 0 0 0 1] [ 2 -1 2 1 0 0 0 1 0 -1 0 0 -2 4 1 0 -2 0 -1 0 1 1] [ 2 -2 1 1 -2 0 0 1 1 1 0 -1 -1 1 4 0 0 0 0 0 1 -2] [ 0 2 -1 2 0 0 0 0 1 1 0 1 -1 0 0 4 -1 -2 2 2 -1 2] [ 0 -1 -1 -1 0 0 0 0 0 1 0 0 1 -2 0 -1 4 0 0 0 0 -2] [-1 -2 1 -1 -1 0 0 0 -1 -1 0 -1 0 0 0 -2 0 4 -1 -2 1 -1] [-1 2 -1 1 0 0 0 0 0 0 -1 1 0 -1 0 2 0 -1 4 1 0 1] [ 1 2 -1 1 1 0 0 0 1 1 -1 1 0 0 0 2 0 -2 1 4 0 1] [ 1 -1 2 -1 -1 0 0 1 0 -1 -1 0 0 1 1 -1 0 1 0 0 4 -1] [-1 3 0 1 2 -1 2 1 0 0 0 2 1 1 -2 2 -2 -1 1 1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 960. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -1 0 -1 1 -2 -1 1 -1 0 0 -2 -1 2 1 2 -1 -2 0] [ 0 4 -1 -1 2 0 2 -1 1 1 1 2 -2 -2 -1 1 0 1 -2 -1 0 1] [ 1 -1 4 0 -1 1 0 0 0 1 1 0 -1 0 1 1 -1 0 0 0 1 0] [ 2 -1 0 4 -2 0 -1 0 -2 -2 0 -1 1 0 -1 0 1 1 3 -1 -1 -1] [-1 2 -1 -2 6 -2 2 1 1 1 1 2 -2 -2 1 0 1 1 -1 -1 2 0] [ 0 0 1 0 -2 4 1 -2 0 0 -1 0 0 0 1 1 -1 0 0 0 1 -1] [-1 2 0 -1 2 1 4 -2 1 0 1 2 -1 -2 0 2 -1 1 -2 -1 1 -1] [ 1 -1 0 0 1 -2 -2 4 0 0 1 0 0 0 0 -1 2 -1 2 1 0 0] [-2 1 0 -2 1 0 1 0 4 2 0 2 -1 -1 2 1 -2 0 -2 0 1 0] [-1 1 1 -2 1 0 0 0 2 4 0 1 -1 0 1 0 -1 -1 -1 1 1 1] [ 1 1 1 0 1 -1 1 1 0 0 4 0 0 -1 -2 0 1 1 -1 -1 -1 0] [-1 2 0 -1 2 0 2 0 2 1 0 4 -2 -2 1 2 -1 0 -1 0 2 0] [ 0 -2 -1 1 -2 0 -1 0 -1 -1 0 -2 4 2 -1 -1 0 0 1 0 -1 0] [ 0 -2 0 0 -2 0 -2 0 -1 0 -1 -2 2 4 -1 -1 0 -1 0 1 0 0] [-2 -1 1 -1 1 1 0 0 2 1 -2 1 -1 -1 6 1 -2 -1 0 0 3 0] [-1 1 1 0 0 1 2 -1 1 0 0 2 -1 -1 1 4 -1 0 -1 0 2 0] [ 2 0 -1 1 1 -1 -1 2 -2 -1 1 -1 0 0 -2 -1 4 0 2 0 -1 0] [ 1 1 0 1 1 0 1 -1 0 -1 1 0 0 -1 -1 0 0 4 0 -2 0 0] [ 2 -2 0 3 -1 0 -2 2 -2 -1 -1 -1 1 0 0 -1 2 0 6 0 0 -1] [-1 -1 0 -1 -1 0 -1 1 0 1 -1 0 0 1 0 0 0 -2 0 4 1 0] [-2 0 1 -1 2 1 1 0 1 1 -1 2 -1 0 3 2 -1 0 0 1 6 -1] [ 0 1 0 -1 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 961. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 1 2 -1 -2 -1 2 2 0 0 1 1 0 -2 2 0 1 -1 0] [-1 4 0 0 0 0 2 0 1 -1 0 1 -1 -2 1 0 -1 -1 1 -1 1 0] [-2 0 4 -2 -1 0 -1 2 -1 -1 -2 -1 1 0 0 1 2 0 0 1 0 1] [ 2 0 -2 4 2 1 -1 -2 1 2 2 0 -1 1 0 0 -1 0 0 -1 0 0] [ 1 0 -1 2 4 2 -2 -1 2 1 1 0 1 -1 0 0 -2 0 0 1 0 0] [ 2 0 0 1 2 6 -2 -1 -1 2 0 1 1 -2 2 0 0 2 0 1 1 2] [-1 2 -1 -1 -2 -2 6 -1 0 -1 -1 1 -2 -2 0 -2 -1 0 2 -3 1 0] [-2 0 2 -2 -1 -1 -1 4 -1 -1 -1 -1 0 0 0 0 1 -1 0 1 0 -1] [-1 1 -1 1 2 -1 0 -1 4 -1 0 1 0 0 -1 0 -1 -2 0 -1 0 -1] [ 2 -1 -1 2 1 2 -1 -1 -1 4 1 -1 0 0 1 -1 -1 2 -1 1 1 1] [ 2 0 -2 2 1 0 -1 -1 0 1 4 -1 -1 1 1 0 -1 0 -1 1 -1 0] [ 0 1 -1 0 0 1 1 -1 1 -1 -1 4 -1 0 -1 1 -1 0 0 -1 1 -1] [ 0 -1 1 -1 1 1 -2 0 0 0 -1 -1 4 0 0 0 1 0 -1 1 -1 1] [ 1 -2 0 1 -1 -2 -2 0 0 0 1 0 0 6 -2 1 0 -1 -1 0 -2 -1] [ 1 1 0 0 0 2 0 0 -1 1 1 -1 0 -2 4 0 0 1 0 0 1 1] [ 0 0 1 0 0 0 -2 0 0 -1 0 1 0 1 0 4 1 0 -1 1 0 0] [-2 -1 2 -1 -2 0 -1 1 -1 -1 -1 -1 1 0 0 1 6 -1 -1 -1 0 2] [ 2 -1 0 0 0 2 0 -1 -2 2 0 0 0 -1 1 0 -1 4 0 2 1 1] [ 0 1 0 0 0 0 2 0 0 -1 -1 0 -1 -1 0 -1 -1 0 4 -2 0 0] [ 1 -1 1 -1 1 1 -3 1 -1 1 1 -1 1 0 0 1 -1 2 -2 6 0 0] [-1 1 0 0 0 1 1 0 0 1 -1 1 -1 -2 1 0 0 1 0 0 4 0] [ 0 0 1 0 0 2 0 -1 -1 1 0 -1 1 -1 1 0 2 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 962. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 -2 1 -2 2 0 -1 -1 1 1 -1 1 0 -1 2 -1 -1 -1 2] [ 2 4 1 0 -2 2 -2 1 1 -1 0 0 1 0 0 1 -2 0 0 0 1 1] [ 2 1 4 2 0 -1 0 1 -1 0 -1 1 0 0 1 -1 0 2 -1 0 0 1] [ 2 0 2 4 0 0 -1 2 -1 -1 0 0 -1 0 0 -1 0 2 -2 0 -2 2] [-2 -2 0 0 4 -1 1 -1 0 1 0 0 -1 0 -1 -1 2 -1 0 0 1 -1] [ 1 2 -1 0 -1 4 -2 0 2 0 0 0 0 -1 0 0 -2 0 1 -1 1 1] [-2 -2 0 -1 1 -2 4 -2 -1 0 0 -1 -1 0 1 -1 1 -1 0 0 0 -1] [ 2 1 1 2 -1 0 -2 4 -1 0 1 1 0 1 0 0 0 1 -1 1 -2 1] [ 0 1 -1 -1 0 2 -1 -1 4 -1 -1 -1 0 0 -1 1 0 0 0 0 2 0] [-1 -1 0 -1 1 0 0 0 -1 4 0 2 0 0 0 0 0 0 1 0 0 -1] [-1 0 -1 0 0 0 0 1 -1 0 4 0 0 0 0 0 0 -1 1 0 0 -1] [ 1 0 1 0 0 0 -1 1 -1 2 0 4 0 0 1 -1 0 1 1 0 -1 -1] [ 1 1 0 -1 -1 0 -1 0 0 0 0 0 4 0 1 2 -1 0 0 0 0 1] [-1 0 0 0 0 -1 0 1 0 0 0 0 0 4 0 1 1 0 -1 2 -1 0] [ 1 0 1 0 -1 0 1 0 -1 0 0 1 1 0 4 0 -1 0 1 0 0 1] [ 0 1 -1 -1 -1 0 -1 0 1 0 0 -1 2 1 0 4 -1 -1 0 1 1 1] [-1 -2 0 0 2 -2 1 0 0 0 0 0 -1 1 -1 -1 4 0 -1 0 0 -1] [ 2 0 2 2 -1 0 -1 1 0 0 -1 1 0 0 0 -1 0 4 -1 0 -1 1] [-1 0 -1 -2 0 1 0 -1 0 1 1 1 0 -1 1 0 -1 -1 4 -1 2 -1] [-1 0 0 0 0 -1 0 1 0 0 0 0 0 2 0 1 0 0 -1 4 0 0] [-1 1 0 -2 1 1 0 -2 2 0 0 -1 0 -1 0 1 0 -1 2 0 6 -1] [ 2 1 1 2 -1 1 -1 1 0 -1 -1 -1 1 0 1 1 -1 1 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 963. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 0 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 2 -2 -1 -2 -2 -2] [ 0 4 0 -1 0 0 1 1 1 1 0 1 -1 -1 1 1 -1 0 1 0 1 1] [ 1 0 4 2 -1 -2 1 1 -2 0 -2 1 -2 0 1 1 0 1 -1 -2 -2 1] [ 2 -1 2 6 -2 0 1 -1 -1 0 0 1 1 -1 -2 1 1 -2 -1 0 0 0] [ 0 0 -1 -2 4 -1 -2 0 1 -1 -1 -2 1 0 0 0 0 -1 -1 1 1 0] [-1 0 -2 0 -1 4 0 0 0 1 2 1 1 1 -1 0 -1 -1 0 2 2 0] [-1 1 1 1 -2 0 4 -1 -1 2 1 2 -1 -1 1 2 -1 1 0 0 0 1] [ 1 1 1 -1 0 0 -1 4 -1 0 -1 1 -2 0 1 0 -1 0 0 -1 -1 0] [-1 1 -2 -1 1 0 -1 -1 4 -1 0 -1 1 -1 0 0 0 -1 2 2 1 0] [-1 1 0 0 -1 1 2 0 -1 4 1 2 1 0 1 1 0 0 0 1 0 1] [-1 0 -2 0 -1 2 1 -1 0 1 4 0 1 1 -1 0 -1 -1 0 2 2 0] [-1 1 1 1 -2 1 2 1 -1 2 0 4 -1 -1 1 2 -1 1 0 0 0 1] [-1 -1 -2 1 1 1 -1 -2 1 1 1 -1 6 1 -2 -1 1 -2 1 3 2 0] [-1 -1 0 -1 0 1 -1 0 -1 0 1 -1 1 4 0 -1 -1 1 0 0 1 0] [-1 1 1 -2 0 -1 1 1 0 1 -1 1 -2 0 4 1 -1 1 0 -1 -1 1] [-1 1 1 1 0 0 2 0 0 1 0 2 -1 -1 1 4 -1 0 -1 1 1 2] [ 2 -1 0 1 0 -1 -1 -1 0 0 -1 -1 1 -1 -1 -1 4 -1 0 -1 -2 -1] [-2 0 1 -2 -1 -1 1 0 -1 0 -1 1 -2 1 1 0 -1 6 1 -2 0 1] [-1 1 -1 -1 -1 0 0 0 2 0 0 0 1 0 0 -1 0 1 4 0 0 0] [-2 0 -2 0 1 2 0 -1 2 1 2 0 3 0 -1 1 -1 -2 0 6 3 1] [-2 1 -2 0 1 2 0 -1 1 0 2 0 2 1 -1 1 -2 0 0 3 6 1] [-2 1 1 0 0 0 1 0 0 1 0 1 0 0 1 2 -1 1 0 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 964. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 0 2 1 -2 1 -1 0 0 0 -1 -1 0 -2 1 -1 1 0 -1 1] [-1 4 -1 1 0 0 0 0 1 0 0 1 -1 2 1 1 1 -1 0 -1 1 -2] [ 1 -1 4 -1 -1 0 0 0 1 -1 1 1 1 0 1 1 1 0 2 1 -2 0] [ 0 1 -1 4 2 -1 0 0 -1 2 0 -1 -2 0 0 -2 1 -2 -1 -2 -1 1] [ 2 0 -1 2 6 1 -1 2 -1 3 -2 1 -1 1 -1 -3 0 -1 0 0 0 1] [ 1 0 0 -1 1 4 -1 2 -1 0 -1 1 1 1 -1 -1 -1 -1 -1 0 -1 0] [-2 0 0 0 -1 -1 4 -2 2 0 1 1 0 1 1 1 -1 2 0 0 0 0] [ 1 0 0 0 2 2 -2 4 -1 0 -2 1 0 1 -2 -2 -1 -1 0 0 0 0] [-1 1 1 -1 -1 -1 2 -1 4 -1 0 1 0 2 2 2 0 1 1 0 0 -2] [ 0 0 -1 2 3 0 0 0 -1 4 0 0 0 0 0 -1 0 -1 0 0 -1 1] [ 0 0 1 0 -2 -1 1 -2 0 0 4 0 0 -1 1 2 0 0 1 0 0 1] [ 0 1 1 -1 1 1 1 1 1 0 0 4 0 2 0 0 -1 1 1 1 1 -1] [-1 -1 1 -2 -1 1 0 0 0 0 0 0 4 0 0 2 0 1 1 2 0 0] [-1 2 0 0 1 1 1 1 2 0 -1 2 0 4 0 1 0 0 0 0 0 -2] [ 0 1 1 0 -1 -1 1 -2 2 0 1 0 0 0 4 2 1 0 1 -1 0 -1] [-2 1 1 -2 -3 -1 1 -2 2 -1 2 0 2 1 2 6 1 1 1 1 1 -1] [ 1 1 1 1 0 -1 -1 -1 0 0 0 -1 0 0 1 1 4 -1 1 0 -1 0] [-1 -1 0 -2 -1 -1 2 -1 1 -1 0 1 1 0 0 1 -1 4 1 2 2 0] [ 1 0 2 -1 0 -1 0 0 1 0 1 1 1 0 1 1 1 1 4 1 0 0] [ 0 -1 1 -2 0 0 0 0 0 0 0 1 2 0 -1 1 0 2 1 4 1 0] [-1 1 -2 -1 0 -1 0 0 0 -1 0 1 0 0 0 1 -1 2 0 1 6 -1] [ 1 -2 0 1 1 0 0 0 -2 1 1 -1 0 -2 -1 -1 0 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 965. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 0 1 -1 -2 1 -1 -1 1 -1 -2 -2 -1 0 -1 1 2 -1 2] [ 1 4 0 2 -1 2 -1 0 1 1 -2 1 0 0 0 1 -1 -1 0 -1 1 -1] [ 1 0 4 0 0 2 -1 -2 1 1 0 0 1 -1 0 0 -1 -2 -1 2 0 -1] [ 1 2 0 4 1 1 -2 -1 2 -1 0 2 1 0 -1 0 -1 -1 0 -1 -1 -1] [ 0 -1 0 1 4 -2 1 1 2 -1 1 2 2 0 -2 -2 0 0 0 0 -1 0] [ 1 2 2 1 -2 6 -3 -3 -1 1 -1 0 -1 -1 0 1 0 -1 -1 0 1 -2] [-1 -1 -1 -2 1 -3 6 4 -1 1 1 0 1 2 1 0 2 1 2 -1 1 0] [-2 0 -2 -1 1 -3 4 8 -2 0 1 -1 0 3 1 0 0 3 2 -2 1 -2] [ 1 1 1 2 2 -1 -1 -2 6 -1 -1 2 2 0 -1 -2 0 -3 0 0 0 1] [-1 1 1 -1 -1 1 1 0 -1 4 -1 -1 0 0 2 2 0 -1 -1 -1 2 -2] [-1 -2 0 0 1 -1 1 1 -1 -1 4 1 1 0 0 0 0 1 1 -1 -1 0] [ 1 1 0 2 2 0 0 -1 2 -1 1 4 2 -1 -2 -1 0 -1 0 -1 -1 1] [-1 0 1 1 2 -1 1 0 2 0 1 2 4 1 0 0 0 -1 -1 -1 0 -1] [-2 0 -1 0 0 -1 2 3 0 0 0 -1 1 4 2 0 1 1 1 -2 1 -2] [-2 0 0 -1 -2 0 1 1 -1 2 0 -2 0 2 4 2 0 0 0 -2 2 -2] [-1 1 0 0 -2 1 0 0 -2 2 0 -1 0 0 2 4 0 0 -1 -1 1 -1] [ 0 -1 -1 -1 0 0 2 0 0 0 0 0 0 1 0 0 4 0 1 -1 1 1] [-1 -1 -2 -1 0 -1 1 3 -3 -1 1 -1 -1 1 0 0 0 4 1 0 0 0] [ 1 0 -1 0 0 -1 2 2 0 -1 1 0 -1 1 0 -1 1 1 4 -1 0 1] [ 2 -1 2 -1 0 0 -1 -2 0 -1 -1 -1 -1 -2 -2 -1 -1 0 -1 6 -1 2] [-1 1 0 -1 -1 1 1 1 0 2 -1 -1 0 1 2 1 1 0 0 -1 4 -2] [ 2 -1 -1 -1 0 -2 0 -2 1 -2 0 1 -1 -2 -2 -1 1 0 1 2 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 966. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -1 2 2 1 -1 0 -1 -2 1 -1 1 1 1 1 -1 1 1 0 1 1] [-1 4 2 1 -2 -2 2 1 -1 -1 0 1 1 1 1 -1 -1 1 -2 -1 -2 1] [-1 2 4 0 -2 -1 2 0 1 1 1 2 0 1 0 -2 -1 1 -1 0 -2 0] [ 2 1 0 4 1 -1 0 0 -2 -2 0 0 2 0 2 0 -2 0 0 0 1 1] [ 2 -2 -2 1 4 0 -2 -1 0 0 0 -1 0 -1 0 1 0 -1 2 1 1 1] [ 1 -2 -1 -1 0 4 0 1 1 0 0 -1 0 0 -1 0 1 1 0 -1 2 0] [-1 2 2 0 -2 0 4 1 1 -1 0 1 1 1 -1 -1 -1 2 -2 -1 -1 1] [ 0 1 0 0 -1 1 1 4 1 -1 -1 1 1 0 0 0 -1 1 -2 -2 1 1] [-1 -1 1 -2 0 1 1 1 6 0 0 0 -2 1 -1 1 1 1 0 1 1 1] [-2 -1 1 -2 0 0 -1 -1 0 6 -1 1 -1 -1 -1 -2 2 -1 1 0 -2 -1] [ 1 0 1 0 0 0 0 -1 0 -1 4 -1 0 1 0 0 0 1 1 0 0 0] [-1 1 2 0 -1 -1 1 1 0 1 -1 4 1 -1 -1 -2 -1 0 -1 -1 -2 -1] [ 1 1 0 2 0 0 1 1 -2 -1 0 1 4 -1 1 -1 -1 0 0 -1 0 1] [ 1 1 1 0 -1 0 1 0 1 -1 1 -1 -1 4 0 1 0 2 -1 0 0 1] [ 1 1 0 2 0 -1 -1 0 -1 -1 0 -1 1 0 4 0 -1 -1 1 1 0 1] [ 1 -1 -2 0 1 0 -1 0 1 -2 0 -2 -1 1 0 4 1 0 0 1 2 1] [-1 -1 -1 -2 0 1 -1 -1 1 2 0 -1 -1 0 -1 1 4 0 1 0 0 0] [ 1 1 1 0 -1 1 2 1 1 -1 1 0 0 2 -1 0 0 4 -1 -1 0 1] [ 1 -2 -1 0 2 0 -2 -2 0 1 1 -1 0 -1 1 0 1 -1 4 1 0 0] [ 0 -1 0 0 1 -1 -1 -2 1 0 0 -1 -1 0 1 1 0 -1 1 4 1 0] [ 1 -2 -2 1 1 2 -1 1 1 -2 0 -2 0 0 0 2 0 0 0 1 6 0] [ 1 1 0 1 1 0 1 1 1 -1 0 -1 1 1 1 1 0 1 0 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 967. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 1 1 -1 0 0 0 -1 0 0 2 2 1 1 -1 1 -1 0 -2] [ 2 4 0 2 0 1 0 0 0 1 0 0 0 2 1 -1 1 0 0 0 -1 -1] [ 2 0 4 -1 0 -1 0 0 -1 1 0 -1 1 2 0 1 -1 0 1 0 0 -2] [ 1 2 -1 4 -1 2 1 0 1 0 0 1 -1 0 0 0 0 1 -1 0 -1 0] [ 1 0 0 -1 4 1 -2 -1 -1 -1 -1 -1 -1 0 0 -1 2 -2 0 -1 0 -1] [ 1 1 -1 2 1 4 -1 0 1 -1 -1 0 0 -1 1 -1 1 0 -1 -1 0 -1] [-1 0 0 1 -2 -1 4 -1 1 1 0 0 1 1 -1 1 -1 2 -1 0 -1 1] [ 0 0 0 0 -1 0 -1 4 0 0 2 -1 0 -2 -1 0 -2 0 -1 2 -1 0] [ 0 0 -1 1 -1 1 1 0 4 -1 -1 0 0 -1 2 0 0 2 -1 -1 0 0] [ 0 1 1 0 -1 -1 1 0 -1 4 0 -1 1 2 -1 0 0 1 1 0 0 0] [-1 0 0 0 -1 -1 0 2 -1 0 4 -1 0 -2 -1 0 -2 0 -1 2 -1 1] [ 0 0 -1 1 -1 0 0 -1 0 -1 -1 4 0 0 0 0 1 0 1 -1 0 0] [ 0 0 1 -1 -1 0 1 0 0 1 0 0 4 0 1 0 0 0 1 0 0 0] [ 2 2 2 0 0 -1 1 -2 -1 2 -2 0 0 6 0 1 1 0 1 -1 1 -1] [ 2 1 0 0 0 1 -1 -1 2 -1 -1 0 1 0 6 0 1 -1 2 -1 1 0] [ 1 -1 1 0 -1 -1 1 0 0 0 0 0 0 1 0 4 0 0 0 0 1 1] [ 1 1 -1 0 2 1 -1 -2 0 0 -2 1 0 1 1 0 4 -1 1 -2 1 0] [-1 0 0 1 -2 0 2 0 2 1 0 0 0 0 -1 0 -1 4 -1 0 0 0] [ 1 0 1 -1 0 -1 -1 -1 -1 1 -1 1 1 1 2 0 1 -1 4 -1 1 0] [-1 0 0 0 -1 -1 0 2 -1 0 2 -1 0 -1 -1 0 -2 0 -1 4 0 1] [ 0 -1 0 -1 0 0 -1 -1 0 0 -1 0 0 1 1 1 1 0 1 0 4 0] [-2 -1 -2 0 -1 -1 1 0 0 0 1 0 0 -1 0 1 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 968. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 2 0 0 1 -1 0 -2 -1 1 -2 1 -1 1 0 -2 0 0] [ 2 6 1 1 0 3 1 2 -2 -2 0 0 2 3 -3 -2 0 2 2 0 -1 -1] [-1 1 6 -3 1 0 -1 1 -2 0 -1 2 -1 1 2 -2 -1 2 1 -1 2 2] [ 2 1 -3 6 -2 0 2 1 1 0 2 -1 2 1 -1 1 2 -1 1 -1 -1 -1] [ 0 0 1 -2 4 2 -2 -1 -1 1 -2 0 -2 0 1 0 -1 0 -1 -1 1 0] [ 2 3 0 0 2 6 -1 1 -2 0 -1 0 0 1 -3 0 0 2 0 -1 0 -1] [ 0 1 -1 2 -2 -1 4 2 -1 0 2 0 1 0 0 -1 0 -1 0 0 -2 0] [ 0 2 1 1 -1 1 2 4 -2 0 1 0 2 0 0 -2 0 1 0 0 -1 0] [ 1 -2 -2 1 -1 -2 -1 -2 6 1 -1 -1 -2 0 -1 2 1 -2 0 1 0 -1] [-1 -2 0 0 1 0 0 0 1 4 -1 0 -2 -1 2 1 1 -2 -1 -1 1 -1] [ 0 0 -1 2 -2 -1 2 1 -1 -1 4 1 2 -1 0 0 0 0 1 -1 -1 1] [-2 0 2 -1 0 0 0 0 -1 0 1 4 1 0 0 -1 1 0 1 0 0 1] [-1 2 -1 2 -2 0 1 2 -2 -2 2 1 6 1 -1 -1 2 1 1 1 -1 -1] [ 1 3 1 1 0 1 0 0 0 -1 -1 0 1 4 -1 -1 1 1 2 0 0 -1] [-2 -3 2 -1 1 -3 0 0 -1 2 0 0 -1 -1 6 0 -1 -1 -1 -2 2 1] [ 1 -2 -2 1 0 0 -1 -2 2 1 0 -1 -1 -1 0 4 1 -1 -1 -1 1 0] [-1 0 -1 2 -1 0 0 0 1 1 0 1 2 1 -1 1 4 -1 1 1 0 -1] [ 1 2 2 -1 0 2 -1 1 -2 -2 0 0 1 1 -1 -1 -1 4 1 0 1 1] [ 0 2 1 1 -1 0 0 0 0 -1 1 1 1 2 -1 -1 1 1 4 0 0 0] [-2 0 -1 -1 -1 -1 0 0 1 -1 -1 0 1 0 -2 -1 1 0 0 6 -1 -1] [ 0 -1 2 -1 1 0 -2 -1 0 1 -1 0 -1 0 2 1 0 1 0 -1 4 0] [ 0 -1 2 -1 0 -1 0 0 -1 -1 1 1 -1 -1 1 0 -1 1 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 969. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 1 2 2 1 0 1 1 -1 -1 2 2 0 -2 0 2 -2 1] [ 1 4 -2 -2 0 0 1 1 1 -1 0 1 0 -1 0 -1 -1 -2 0 2 0 1] [-1 -2 6 0 0 -2 -2 -3 1 0 -1 1 -1 -1 0 -2 -1 2 2 -2 1 -3] [-1 -2 0 6 -2 2 -2 2 -3 2 2 1 0 0 1 3 0 2 0 -2 0 -1] [-1 0 0 -2 4 -2 0 -2 1 -1 -2 -2 0 0 -1 -2 -1 -1 1 1 1 1] [ 1 0 -2 2 -2 4 1 3 -1 0 2 0 1 1 1 3 0 1 -1 -1 -1 0] [ 2 1 -2 -2 0 1 4 2 0 0 1 -1 0 0 1 1 1 -1 0 1 -1 1] [ 2 1 -3 2 -2 3 2 6 -1 1 2 1 0 0 1 4 0 -1 0 1 -2 1] [ 1 1 1 -3 1 -1 0 -1 4 -2 -2 0 -1 -1 0 -1 -1 -2 1 2 -1 0] [ 0 -1 0 2 -1 0 0 1 -2 4 1 1 1 0 1 1 2 0 0 0 -1 0] [ 1 0 -1 2 -2 2 1 2 -2 1 4 0 0 1 1 2 0 0 -1 0 0 0] [ 1 1 1 1 -2 0 -1 1 0 1 0 4 -1 -2 1 1 0 0 0 0 -1 -1] [-1 0 -1 0 0 1 0 0 -1 1 0 -1 4 2 -1 -1 1 0 0 0 0 0] [-1 -1 -1 0 0 1 0 0 -1 0 1 -2 2 4 -1 0 0 1 -1 -1 1 0] [ 2 0 0 1 -1 1 1 1 0 1 1 1 -1 -1 4 2 0 -1 0 0 -1 0] [ 2 -1 -2 3 -2 3 1 4 -1 1 2 1 -1 0 2 6 1 0 -1 0 -2 1] [ 0 -1 -1 0 -1 0 1 0 -1 2 0 0 1 0 0 1 4 0 -1 0 -1 1] [-2 -2 2 2 -1 1 -1 -1 -2 0 0 0 0 1 -1 0 0 6 0 -4 2 -2] [ 0 0 2 0 1 -1 0 0 1 0 -1 0 0 -1 0 -1 -1 0 4 0 0 -1] [ 2 2 -2 -2 1 -1 1 1 2 0 0 0 0 -1 0 0 0 -4 0 6 -1 2] [-2 0 1 0 1 -1 -1 -2 -1 -1 0 -1 0 1 -1 -2 -1 2 0 -1 4 -1] [ 1 1 -3 -1 1 0 1 1 0 0 0 -1 0 0 0 1 1 -2 -1 2 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 970. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 0 1 -1 1 -1 -1 -1 1 2 0 0 1 1 2 -1 1 1 -2 -1] [ 1 4 -1 0 -1 -2 1 0 -1 -2 2 1 1 -1 1 0 1 -1 2 1 0 -1] [-2 -1 4 -1 -1 1 -2 0 0 0 0 -1 1 1 0 -1 0 0 -1 0 0 0] [ 0 0 -1 4 0 0 2 1 1 0 0 -1 -1 -1 0 -1 0 2 0 -2 -1 -1] [ 1 -1 -1 0 4 -1 0 0 1 1 -1 -1 -1 1 0 2 1 -1 1 1 0 -1] [-1 -2 1 0 -1 4 -1 1 0 0 0 -1 0 1 0 0 -1 2 -2 -2 0 1] [ 1 1 -2 2 0 -1 4 1 1 0 1 1 0 0 1 -1 1 0 0 0 0 0] [-1 0 0 1 0 1 1 4 2 -1 0 -1 -1 0 -1 0 -1 2 -1 -2 0 -1] [-1 -1 0 1 1 0 1 2 4 0 -1 -1 0 0 0 0 -1 0 -1 0 0 -1] [-1 -2 0 0 1 0 0 -1 0 4 -2 0 -1 1 0 -1 -1 -1 0 1 1 1] [ 1 2 0 0 -1 0 1 0 -1 -2 4 0 1 1 1 0 1 -1 0 1 0 0] [ 2 1 -1 -1 -1 -1 1 -1 -1 0 0 4 0 -1 1 0 1 -1 0 1 -1 0] [ 0 1 1 -1 -1 0 0 -1 0 -1 1 0 4 1 1 -1 1 -2 1 2 0 0] [ 0 -1 1 -1 1 1 0 0 0 1 1 -1 1 4 1 0 0 -1 0 1 1 0] [ 1 1 0 0 0 0 1 -1 0 0 1 1 1 1 4 0 1 -2 0 1 0 0] [ 1 0 -1 -1 2 0 -1 0 0 -1 0 0 -1 0 0 4 1 0 0 0 0 0] [ 2 1 0 0 1 -1 1 -1 -1 -1 1 1 1 0 1 1 4 -1 1 1 -1 0] [-1 -1 0 2 -1 2 0 2 0 -1 -1 -1 -2 -1 -2 0 -1 6 -1 -4 0 0] [ 1 2 -1 0 1 -2 0 -1 -1 0 0 0 1 0 0 0 1 -1 4 1 0 -1] [ 1 1 0 -2 1 -2 0 -2 0 1 1 1 2 1 1 0 1 -4 1 6 1 0] [-2 0 0 -1 0 0 0 0 0 1 0 -1 0 1 0 0 -1 0 0 1 4 1] [-1 -1 0 -1 -1 1 0 -1 -1 1 0 0 0 0 0 0 0 0 -1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 971. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 -2 -2 2 -1 1 -1 -2 -1 1 0 1 1 -2 1 0] [-2 4 -2 2 1 -1 1 2 2 -1 1 0 1 0 1 -1 0 -1 -2 2 1 1] [ 2 -2 4 -2 -1 0 -1 -2 -1 0 0 0 -1 -1 0 0 1 1 1 -2 -1 1] [-2 2 -2 4 1 0 2 2 0 0 0 -1 1 2 0 -1 -1 -1 -2 2 -1 0] [ 0 1 -1 1 4 -1 2 1 0 0 1 1 2 1 -1 1 -2 1 -1 1 -1 1] [ 1 -1 0 0 -1 4 0 0 -1 2 -1 1 0 1 0 0 1 0 0 0 0 -1] [-1 1 -1 2 2 0 4 1 0 0 0 1 2 1 0 1 -2 1 -1 1 -2 0] [-2 2 -2 2 1 0 1 4 0 0 0 0 2 2 0 0 -1 -1 -2 2 0 0] [-2 2 -1 0 0 -1 0 0 4 -2 1 0 0 -1 1 -1 1 0 0 1 0 0] [ 2 -1 0 0 0 2 0 0 -2 4 -2 1 0 1 0 0 -1 0 0 -1 1 -1] [-1 1 0 0 1 -1 0 0 1 -2 4 0 0 0 -1 0 1 1 -1 0 -1 2] [ 1 0 0 -1 1 1 1 0 0 1 0 4 0 -1 -1 2 0 0 -1 0 -1 1] [-1 1 -1 1 2 0 2 2 0 0 0 0 4 1 0 0 -2 1 -1 1 0 0] [-2 0 -1 2 1 1 1 2 -1 1 0 -1 1 6 0 0 -1 -1 0 1 -1 0] [-1 1 0 0 -1 0 0 0 1 0 -1 -1 0 0 4 -1 1 -1 0 1 0 -1] [ 1 -1 0 -1 1 0 1 0 -1 0 0 2 0 0 -1 4 0 0 0 0 -1 1] [ 0 0 1 -1 -2 1 -2 -1 1 -1 1 0 -2 -1 1 0 4 -1 0 0 0 1] [ 1 -1 1 -1 1 0 1 -1 0 0 1 0 1 -1 -1 0 -1 4 1 -1 0 0] [ 1 -2 1 -2 -1 0 -1 -2 0 0 -1 -1 -1 0 0 0 0 1 4 -2 1 -1] [-2 2 -2 2 1 0 1 2 1 -1 0 0 1 1 1 0 0 -1 -2 4 0 0] [ 1 1 -1 -1 -1 0 -2 0 0 1 -1 -1 0 -1 0 -1 0 0 1 0 6 -1] [ 0 1 1 0 1 -1 0 0 0 -1 2 1 0 0 -1 1 1 0 -1 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 972. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -2 -1 -1 2 1 0 -2 1 -1 1 -1 0 1 0 1 1 0 -1 -2] [-2 6 2 1 -1 1 -3 1 -2 2 1 0 1 -1 2 -1 -1 -2 0 -2 2 2] [ 0 2 4 0 0 -1 -2 1 0 0 0 1 0 0 0 1 -2 0 -1 -2 0 -1] [-2 1 0 4 2 1 -2 0 1 2 -1 0 0 1 0 -2 0 -1 -1 0 1 2] [-1 -1 0 2 4 -1 -1 0 2 1 -2 0 0 2 0 -1 0 1 -2 0 -1 1] [-1 1 -1 1 -1 4 1 0 -1 1 0 -1 -1 0 1 -1 0 -1 0 0 1 0] [ 2 -3 -2 -2 -1 1 6 1 -1 -2 -1 -1 0 1 0 0 2 1 1 1 -1 -3] [ 1 1 1 0 0 0 1 4 -1 0 -1 -1 1 1 1 0 -1 1 0 -1 -1 0] [ 0 -2 0 1 2 -1 -1 -1 4 1 0 0 -1 0 0 0 -1 1 0 0 -1 1] [-2 2 0 2 1 1 -2 0 1 4 0 -1 -1 0 1 -2 0 -1 0 0 1 3] [ 1 1 0 -1 -2 0 -1 -1 0 0 4 0 0 -2 0 1 0 -1 2 -1 1 0] [-1 0 1 0 0 -1 -1 -1 0 -1 0 4 0 0 -2 0 0 1 -1 -1 0 0] [ 1 1 0 0 0 -1 0 1 -1 -1 0 0 4 -1 1 -1 1 -1 1 0 1 0] [-1 -1 0 1 2 0 1 1 0 0 -2 0 -1 4 -1 0 0 1 -2 0 -1 0] [ 0 2 0 0 0 1 0 1 0 1 0 -2 1 -1 4 0 -1 -1 1 0 1 0] [ 1 -1 1 -2 -1 -1 0 0 0 -2 1 0 -1 0 0 4 -2 1 0 0 -1 -2] [ 0 -1 -2 0 0 0 2 -1 -1 0 0 0 1 0 -1 -2 4 -1 1 1 1 0] [ 1 -2 0 -1 1 -1 1 1 1 -1 -1 1 -1 1 -1 1 -1 4 -1 0 -2 0] [ 1 0 -1 -1 -2 0 1 0 0 0 2 -1 1 -2 1 0 1 -1 4 0 1 0] [ 0 -2 -2 0 0 0 1 -1 0 0 -1 -1 0 0 0 0 1 0 0 4 1 0] [-1 2 0 1 -1 1 -1 -1 -1 1 1 0 1 -1 1 -1 1 -2 1 1 4 0] [-2 2 -1 2 1 0 -3 0 1 3 0 0 0 0 0 -2 0 0 0 0 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 973. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 2 1 1 1 1 2 1 1 0 -2 1 -1 -1 1 1 1 0 0] [ 1 4 0 -2 2 2 0 -1 0 2 0 1 -1 -2 2 -1 1 -1 2 1 1 0] [-1 0 4 2 -2 0 1 -2 -1 -1 -2 -1 1 2 1 1 1 -2 1 0 -1 1] [-2 -2 2 6 -2 -1 0 -1 1 0 0 -1 1 3 -2 2 -1 -1 -1 -1 0 0] [ 2 2 -2 -2 6 0 1 0 -1 2 1 3 -2 -2 2 -2 -2 0 0 0 0 0] [ 1 2 0 -1 0 4 -1 -1 1 1 0 -1 -1 0 1 -1 0 1 2 2 0 1] [ 1 0 1 0 1 -1 4 1 0 1 -1 1 1 1 1 -1 -1 0 1 -1 0 -1] [ 1 -1 -2 -1 0 -1 1 4 1 0 1 0 0 0 -1 0 -1 2 0 0 1 -2] [ 1 0 -1 1 -1 1 0 1 4 1 1 0 1 0 -1 0 0 1 0 0 1 -1] [ 2 2 -1 0 2 1 1 0 1 6 0 2 -1 -2 0 0 -1 0 1 1 1 0] [ 1 0 -2 0 1 0 -1 1 1 0 4 0 -1 -2 -1 0 -1 1 -1 -1 0 -1] [ 1 1 -1 -1 3 -1 1 0 0 2 0 4 0 -1 1 0 -1 -1 0 0 0 -1] [ 0 -1 1 1 -2 -1 1 0 1 -1 -1 0 4 1 0 0 1 0 0 0 1 0] [-2 -2 2 3 -2 0 1 0 0 -2 -2 -1 1 6 -1 1 -1 0 0 0 0 0] [ 1 2 1 -2 2 1 1 -1 -1 0 -1 1 0 -1 4 -2 0 -1 2 1 -1 1] [-1 -1 1 2 -2 -1 -1 0 0 0 0 0 0 1 -2 4 1 -1 -1 0 0 0] [-1 1 1 -1 -2 0 -1 -1 0 -1 -1 -1 1 -1 0 1 4 -1 0 0 1 1] [ 1 -1 -2 -1 0 1 0 2 1 0 1 -1 0 0 -1 -1 -1 4 0 1 1 0] [ 1 2 1 -1 0 2 1 0 0 1 -1 0 0 0 2 -1 0 0 4 1 0 0] [ 1 1 0 -1 0 2 -1 0 0 1 -1 0 0 0 1 0 0 1 1 4 1 1] [ 0 1 -1 0 0 0 0 1 1 1 0 0 1 0 -1 0 1 1 0 1 4 -1] [ 0 0 1 0 0 1 -1 -2 -1 0 -1 -1 0 0 1 0 1 0 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 974. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 1 -1 -1 0 0 2 1 2 1 1 -1 -1 0 1 0 -2 2] [ 2 6 -2 2 0 1 -2 -2 -2 2 0 2 1 1 0 0 -3 -2 1 -1 1 1] [ 0 -2 4 -2 1 1 0 2 0 -2 2 -1 0 0 0 0 0 2 -1 0 0 -1] [ 0 2 -2 4 0 -1 -1 0 0 2 -1 0 0 0 -1 1 -2 -2 0 1 1 1] [ 0 0 1 0 4 2 -2 1 0 -2 1 -1 -1 -1 -1 -1 1 -1 1 1 -1 -2] [ 1 1 1 -1 2 4 -2 -1 0 -2 2 0 0 1 -1 -2 0 -1 0 -1 0 0] [-1 -2 0 -1 -2 -2 4 1 0 1 0 0 0 -1 0 0 1 2 0 -1 1 1] [-1 -2 2 0 1 -1 1 4 0 0 1 -1 0 -1 -1 0 1 1 -1 1 0 -1] [ 0 -2 0 0 0 0 0 0 4 -1 -1 -1 0 0 0 -1 2 0 -1 1 -2 1] [ 0 2 -2 2 -2 -2 1 0 -1 6 -2 1 2 1 1 2 0 0 -1 -1 2 2] [ 2 0 2 -1 1 2 0 1 -1 -2 6 -1 0 1 0 -1 0 1 1 0 -1 0] [ 1 2 -1 0 -1 0 0 -1 -1 1 -1 4 0 1 1 0 -1 0 1 -1 0 0] [ 2 1 0 0 -1 0 0 0 0 2 0 0 4 0 0 0 -1 0 -1 0 0 3] [ 1 1 0 0 -1 1 -1 -1 0 1 1 1 0 4 1 0 0 0 -1 -1 0 1] [ 1 0 0 -1 -1 -1 0 -1 0 1 0 1 0 1 4 1 1 1 1 0 -1 -1] [-1 0 0 1 -1 -2 0 0 -1 2 -1 0 0 0 1 4 -1 1 0 1 1 -1] [-1 -3 0 -2 1 0 1 1 2 0 0 -1 -1 0 1 -1 6 1 0 0 -2 -1] [ 0 -2 2 -2 -1 -1 2 1 0 0 1 0 0 0 1 1 1 4 0 0 0 0] [ 1 1 -1 0 1 0 0 -1 -1 -1 1 1 -1 -1 1 0 0 0 4 0 -1 -1] [ 0 -1 0 1 1 -1 -1 1 1 -1 0 -1 0 -1 0 1 0 0 0 4 -1 -1] [-2 1 0 1 -1 0 1 0 -2 2 -1 0 0 0 -1 1 -2 0 -1 -1 6 0] [ 2 1 -1 1 -2 0 1 -1 1 2 0 0 3 1 -1 -1 -1 0 -1 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 975. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 1 0 0 -1 0 1 -1 -1 2 -1 1 1 -1 -1 -2 1 0 2] [ 2 4 0 2 -1 1 0 -2 0 1 -2 1 1 0 0 0 0 0 -1 0 0 1] [ 2 0 4 1 0 0 0 -1 1 1 1 -2 1 -1 1 0 0 -1 -1 1 1 1] [ 2 2 1 4 1 0 0 0 -1 0 0 -1 2 0 0 0 0 0 -2 0 -1 0] [ 1 -1 0 1 6 0 1 3 -2 -1 2 -3 2 -1 -1 -1 1 0 1 0 -1 1] [ 0 1 0 0 0 4 1 1 0 0 0 1 0 1 -1 0 1 0 2 0 0 2] [ 0 0 0 0 1 1 4 -1 -2 -1 0 -2 0 -1 1 1 0 1 2 -1 1 -1] [-1 -2 -1 0 3 1 -1 6 -1 0 2 -1 0 0 -1 0 0 -1 0 1 -2 0] [ 0 0 1 -1 -2 0 -2 -1 4 0 0 1 0 0 0 0 1 -1 -1 1 1 2] [ 1 1 1 0 -1 0 -1 0 0 4 -1 1 -1 0 1 0 -2 0 0 0 1 0] [-1 -2 1 0 2 0 0 2 0 -1 4 -2 1 -1 -1 -1 1 -1 0 1 0 0] [-1 1 -2 -1 -3 1 -2 -1 1 1 -2 6 -2 2 -1 0 0 0 1 0 0 1] [ 2 1 1 2 2 0 0 0 0 -1 1 -2 4 0 -1 -1 1 0 -2 0 0 2] [-1 0 -1 0 -1 1 -1 0 0 0 -1 2 0 4 -1 -1 0 2 1 -2 0 0] [ 1 0 1 0 -1 -1 1 -1 0 1 -1 -1 -1 -1 4 2 -2 -1 -1 0 1 -1] [ 1 0 0 0 -1 0 1 0 0 0 -1 0 -1 -1 2 4 -1 -1 -1 1 0 0] [-1 0 0 0 1 1 0 0 1 -2 1 0 1 0 -2 -1 4 0 1 0 0 2] [-1 0 -1 0 0 0 1 -1 -1 0 -1 0 0 2 -1 -1 0 4 2 -2 1 -1] [-2 -1 -1 -2 1 2 2 0 -1 0 0 1 -2 1 -1 -1 1 2 6 -2 1 0] [ 1 0 1 0 0 0 -1 1 1 0 1 0 0 -2 0 1 0 -2 -2 4 0 1] [ 0 0 1 -1 -1 0 1 -2 1 1 0 0 0 0 1 0 0 1 1 0 4 0] [ 2 1 1 0 1 2 -1 0 2 0 0 1 2 0 -1 0 2 -1 0 1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 976. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 0 1 2 0 0 -2 0 0 1 0 2 -1 0 0 1 0 -1 -1 2] [ 2 4 0 0 1 2 1 1 -1 1 1 0 1 0 -2 1 1 1 -1 -1 -1 2] [ 2 0 4 0 0 0 0 -1 -2 0 -1 0 -1 1 0 -1 1 0 1 0 0 1] [ 0 0 0 4 -2 -1 -2 1 1 -2 1 1 1 2 -1 1 -1 1 0 -1 -1 0] [ 1 1 0 -2 4 2 0 -1 -1 2 0 0 -1 0 0 -1 0 -1 1 1 0 1] [ 2 2 0 -1 2 4 0 1 -2 1 0 0 1 0 0 1 0 1 -1 -1 0 2] [ 0 1 0 -2 0 0 4 -1 -1 1 -1 0 -1 -1 0 -1 1 0 -1 0 0 0] [ 0 1 -1 1 -1 1 -1 4 1 -1 1 -1 2 -1 0 1 1 0 0 0 -1 1] [-2 -1 -2 1 -1 -2 -1 1 4 -1 1 -1 0 -1 0 0 0 -1 1 1 -1 -1] [ 0 1 0 -2 2 1 1 -1 -1 4 -1 0 -1 -1 0 0 1 0 -1 0 0 1] [ 0 1 -1 1 0 0 -1 1 1 -1 4 -1 2 -1 0 0 1 0 0 0 -1 0] [ 1 0 0 1 0 0 0 -1 -1 0 -1 4 0 3 -1 1 -1 0 -1 0 -1 0] [ 0 1 -1 1 -1 1 -1 2 0 -1 2 0 4 0 0 2 0 1 -1 -1 0 1] [ 2 0 1 2 0 0 -1 -1 -1 -1 -1 3 0 6 -2 1 -2 0 0 0 -1 0] [-1 -2 0 -1 0 0 0 0 0 0 0 -1 0 -2 4 -1 0 -1 0 0 1 0] [ 0 1 -1 1 -1 1 -1 1 0 0 0 1 2 1 -1 4 0 1 -2 -1 0 1] [ 0 1 1 -1 0 0 1 1 0 1 1 -1 0 -2 0 0 4 -1 0 1 -1 1] [ 1 1 0 1 -1 1 0 0 -1 0 0 0 1 0 -1 1 -1 4 -1 -2 1 1] [ 0 -1 1 0 1 -1 -1 0 1 -1 0 -1 -1 0 0 -2 0 -1 4 1 0 0] [-1 -1 0 -1 1 -1 0 0 1 0 0 0 -1 0 0 -1 1 -2 1 4 0 -1] [-1 -1 0 -1 0 0 0 -1 -1 0 -1 -1 0 -1 1 0 -1 1 0 0 4 -1] [ 2 2 1 0 1 2 0 1 -1 1 0 0 1 0 0 1 1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 977. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 -2 1 1 0 -1 2 0 -1 2 -1 -1 -1 0 2 0 0 -1 1] [-2 4 -2 -1 2 -2 0 -1 -1 -1 -1 1 -1 2 0 0 -1 -2 -1 -1 0 0] [ 2 -2 4 -1 -2 2 0 -1 0 1 0 0 2 0 0 0 -1 2 -1 0 -1 1] [ 0 -1 -1 4 -1 -1 -1 2 0 -1 0 1 1 -2 -1 1 1 -1 1 0 0 -2] [-2 2 -2 -1 4 0 1 0 0 0 1 0 -1 0 1 1 0 -2 0 1 1 0] [ 1 -2 2 -1 0 4 1 -1 1 1 1 0 0 0 0 1 0 1 0 1 0 0] [ 1 0 0 -1 1 1 4 0 0 2 1 -1 1 0 -1 1 -1 0 1 1 1 1] [ 0 -1 -1 2 0 -1 0 4 1 1 1 -1 0 -2 -1 1 0 0 2 1 0 0] [-1 -1 0 0 0 1 0 1 6 -2 -1 -1 -3 2 0 1 2 0 2 -1 -1 -1] [ 2 -1 1 -1 0 1 2 1 -2 6 1 -2 2 -1 -1 0 -1 2 1 1 1 2] [ 0 -1 0 0 1 1 1 1 -1 1 4 -1 1 -3 1 1 -1 0 0 2 1 1] [-1 1 0 1 0 0 -1 -1 -1 -2 -1 4 1 0 -1 0 0 -1 -1 -1 -1 -2] [ 2 -1 2 1 -1 0 1 0 -3 2 1 1 6 -3 0 0 -1 0 0 1 0 1] [-1 2 0 -2 0 0 0 -2 2 -1 -3 0 -3 6 -1 0 0 0 -1 -2 0 0] [-1 0 0 -1 1 0 -1 -1 0 -1 1 -1 0 -1 4 -1 0 -1 0 1 0 1] [-1 0 0 1 1 1 1 1 1 0 1 0 0 0 -1 4 0 -1 0 1 1 0] [ 0 -1 -1 1 0 0 -1 0 2 -1 -1 0 -1 0 0 0 4 0 1 -1 0 -1] [ 2 -2 2 -1 -2 1 0 0 0 2 0 -1 0 0 -1 -1 0 4 0 0 0 1] [ 0 -1 -1 1 0 0 1 2 2 1 0 -1 0 -1 0 0 1 0 4 0 0 0] [ 0 -1 0 0 1 1 1 1 -1 1 2 -1 1 -2 1 1 -1 0 0 4 2 1] [-1 0 -1 0 1 0 1 0 -1 1 1 -1 0 0 0 1 0 0 0 2 4 0] [ 1 0 1 -2 0 0 1 0 -1 2 1 -2 1 0 1 0 -1 1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 978. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 -1 1 -2 -1 1 2 -1 -1 2 -1 -1 0 -1 0 2 -2] [ 1 4 -2 2 1 -2 -1 0 -1 0 -1 2 1 -1 1 -1 0 -1 -1 1 -1 -2] [-1 -2 4 -2 -1 0 1 0 2 0 1 -1 0 0 -1 2 -1 -1 0 1 -1 2] [ 1 2 -2 4 2 -1 -2 0 0 1 -1 0 0 -1 1 0 0 0 -1 0 1 -1] [ 2 1 -1 2 4 -2 -1 0 0 -1 1 0 0 -2 2 0 0 0 -2 0 2 -2] [-2 -2 0 -1 -2 4 1 0 1 0 -1 -2 0 2 -1 0 1 1 1 -1 0 2] [-1 -1 1 -2 -1 1 4 1 -1 0 1 0 1 2 0 -1 -1 -1 -1 1 -2 2] [ 1 0 0 0 0 0 1 4 -1 0 -1 2 0 1 0 -1 -1 0 0 0 -1 -1] [-2 -1 2 0 0 1 -1 -1 6 -1 0 -2 -1 0 0 1 2 0 0 0 -1 0] [-1 0 0 1 -1 0 0 0 -1 4 0 -1 0 1 -1 1 0 -1 1 1 0 2] [ 1 -1 1 -1 1 -1 1 -1 0 0 4 0 -1 0 1 0 0 -1 -1 1 1 1] [ 2 2 -1 0 0 -2 0 2 -2 -1 0 6 -1 0 1 -2 0 -1 0 1 -2 -2] [-1 1 0 0 0 0 1 0 -1 0 -1 -1 4 0 -1 0 -1 -1 0 1 -1 0] [-1 -1 0 -1 -2 2 2 1 0 1 0 0 0 4 0 -1 0 0 1 0 -1 1] [ 2 1 -1 1 2 -1 0 0 0 -1 1 1 -1 0 4 -1 0 -1 -2 0 1 -1] [-1 -1 2 0 0 0 -1 -1 1 1 0 -2 0 -1 -1 4 0 0 0 0 1 2] [-1 0 -1 0 0 1 -1 -1 2 0 0 0 -1 0 0 0 4 0 1 0 0 0] [ 0 -1 -1 0 0 1 -1 0 0 -1 -1 -1 -1 0 -1 0 0 4 1 -2 2 -1] [-1 -1 0 -1 -2 1 -1 0 0 1 -1 0 0 1 -2 0 1 1 4 -1 0 0] [ 0 1 1 0 0 -1 1 0 0 1 1 1 1 0 0 0 0 -2 -1 4 -1 1] [ 2 -1 -1 1 2 0 -2 -1 -1 0 1 -2 -1 -1 1 1 0 2 0 -1 6 -1] [-2 -2 2 -1 -2 2 2 -1 0 2 1 -2 0 1 -1 2 0 -1 0 1 -1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 979. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 2 1 2 0 -1 1 1 2 2 0 2 2 -1 1 0 1 1] [ 1 4 0 2 0 2 0 1 -1 0 1 0 0 0 -1 1 1 1 -1 1 -1 -1] [-1 0 4 1 0 -1 0 1 -1 0 1 0 0 -2 1 -1 1 2 -2 -1 -2 0] [ 1 2 1 4 0 0 -1 1 -2 -1 0 0 0 -1 -1 1 0 0 -1 1 0 -1] [-1 0 0 0 4 -2 1 0 -1 1 0 -2 -1 0 1 -2 -1 -1 0 1 1 0] [ 2 2 -1 0 -2 6 1 1 1 1 1 1 2 2 -2 1 0 2 0 1 -2 1] [ 1 0 0 -1 1 1 4 2 1 0 2 -1 1 1 1 0 1 -1 0 -1 1 2] [ 2 1 1 1 0 1 2 4 -1 -1 1 0 2 0 1 1 1 -1 -1 -1 1 1] [ 0 -1 -1 -2 -1 1 1 -1 4 1 1 1 1 0 0 1 0 0 1 0 0 0] [-1 0 0 -1 1 1 0 -1 1 4 1 -1 0 0 -1 -2 -2 1 1 1 -1 0] [ 1 1 1 0 0 1 2 1 1 1 4 -1 0 0 1 0 2 0 0 -1 0 1] [ 1 0 0 0 -2 1 -1 0 1 -1 -1 4 1 0 -1 2 1 0 -1 0 0 0] [ 2 0 0 0 -1 2 1 2 1 0 0 1 4 1 0 1 0 0 0 0 0 1] [ 2 0 -2 -1 0 2 1 0 0 0 0 0 1 4 0 0 1 0 1 0 0 2] [ 0 -1 1 -1 1 -2 1 1 0 -1 1 -1 0 0 4 -1 2 -1 0 -2 1 0] [ 2 1 -1 1 -2 1 0 1 1 -2 0 2 1 0 -1 4 1 -1 0 0 1 0] [ 2 1 1 0 -1 0 1 1 0 -2 2 1 0 1 2 1 6 1 -1 -2 0 1] [-1 1 2 0 -1 2 -1 -1 0 1 0 0 0 0 -1 -1 1 6 -1 1 -4 0] [ 1 -1 -2 -1 0 0 0 -1 1 1 0 -1 0 1 0 0 -1 -1 4 0 1 0] [ 0 1 -1 1 1 1 -1 -1 0 1 -1 0 0 0 -2 0 -2 1 0 4 0 -1] [ 1 -1 -2 0 1 -2 1 1 0 -1 0 0 0 0 1 1 0 -4 1 0 6 0] [ 1 -1 0 -1 0 1 2 1 0 0 1 0 1 2 0 0 1 0 0 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 980. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 0 0 0 2 1 0 1 1 0 -1 0 1 1 0 0 2 0 2] [ 0 4 -2 0 0 0 -2 1 -1 0 1 1 0 -1 2 -1 1 0 1 -1 2 -1] [-1 -2 6 -1 2 2 3 -1 -1 -1 -1 0 2 0 1 -1 1 1 1 -2 1 -2] [ 0 0 -1 4 -2 1 -2 0 -1 1 1 0 1 0 -2 -1 -1 -1 0 2 -2 2] [ 0 0 2 -2 4 1 1 0 -1 0 -1 -1 0 1 2 0 2 0 1 -2 2 -1] [ 0 0 2 1 1 4 1 0 -1 -1 0 1 2 -1 0 -2 2 1 2 0 0 -1] [ 0 -2 3 -2 1 1 6 1 2 -2 -1 1 1 0 0 1 0 0 1 0 -1 -2] [ 2 1 -1 0 0 0 1 4 1 0 0 1 1 0 0 0 0 0 0 2 -1 0] [ 1 -1 -1 -1 -1 -1 2 1 4 -1 -1 1 -1 -1 -1 2 -1 0 0 1 -2 1] [ 0 0 -1 1 0 -1 -2 0 -1 4 -1 -1 0 1 0 -1 0 0 -1 0 -1 1] [ 1 1 -1 1 -1 0 -1 0 -1 -1 4 1 0 -1 0 1 0 0 1 0 1 1] [ 1 1 0 0 -1 1 1 1 1 -1 1 4 0 -1 0 0 1 0 1 1 0 0] [ 0 0 2 1 0 2 1 1 -1 0 0 0 4 -1 0 -2 0 1 1 0 0 -2] [-1 -1 0 0 1 -1 0 0 -1 1 -1 -1 -1 4 -1 0 -1 -2 -2 1 -1 0] [ 0 2 1 -2 2 0 0 0 -1 0 0 0 0 -1 4 0 2 1 1 -3 3 -2] [ 1 -1 -1 -1 0 -2 1 0 2 -1 1 0 -2 0 0 4 -1 -1 0 0 0 2] [ 1 1 1 -1 2 2 0 0 -1 0 0 1 0 -1 2 -1 4 1 1 -1 2 -1] [ 0 0 1 -1 0 1 0 0 0 0 0 0 1 -2 1 -1 1 4 1 -1 1 -1] [ 0 1 1 0 1 2 1 0 0 -1 1 1 1 -2 1 0 1 1 4 -2 1 0] [ 2 -1 -2 2 -2 0 0 2 1 0 0 1 0 1 -3 0 -1 -1 -2 6 -2 2] [ 0 2 1 -2 2 0 -1 -1 -2 -1 1 0 0 -1 3 0 2 1 1 -2 6 -2] [ 2 -1 -2 2 -1 -1 -2 0 1 1 1 0 -2 0 -2 2 -1 -1 0 2 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 981. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 -1 0 -1 0 -1 0 -2 2 1 0 2 -1 0 -1 0 -1 1] [ 1 4 0 0 1 -2 1 0 1 0 0 0 2 1 0 0 -1 1 0 -1 1 1] [ 2 0 4 -2 0 0 1 -2 0 -1 -1 -2 1 -1 -1 1 1 0 -1 0 -2 0] [-2 0 -2 4 1 1 -1 2 0 1 1 2 -2 0 1 -1 0 1 2 -1 0 1] [-1 1 0 1 4 -1 -1 -1 1 0 -1 0 0 -1 -1 0 0 0 1 0 1 -1] [-1 -2 0 1 -1 4 1 0 0 1 0 1 -1 0 1 -1 1 1 1 -1 -1 1] [ 0 1 1 -1 -1 1 4 -1 0 0 0 0 1 1 1 0 0 1 -1 -1 -1 0] [-1 0 -2 2 -1 0 -1 4 0 0 1 2 -2 0 1 0 -1 1 1 -1 0 1] [ 0 1 0 0 1 0 0 0 4 -1 -2 1 0 1 1 1 1 2 0 -1 -1 0] [-1 0 -1 1 0 1 0 0 -1 4 0 1 -1 0 1 -1 1 0 0 -1 0 1] [ 0 0 -1 1 -1 0 0 1 -2 0 4 0 -1 0 1 -1 -1 0 1 0 0 1] [-2 0 -2 2 0 1 0 2 1 1 0 4 -2 0 1 0 0 1 0 -1 0 1] [ 2 2 1 -2 0 -1 1 -2 0 -1 -1 -2 6 0 -1 0 -2 0 0 0 2 0] [ 1 1 -1 0 -1 0 1 0 1 0 0 0 0 4 2 1 0 1 -1 -1 -1 0] [ 0 0 -1 1 -1 1 1 1 1 1 1 1 -1 2 4 1 0 2 0 -2 -2 1] [ 2 0 1 -1 0 -1 0 0 1 -1 -1 0 0 1 1 4 -1 0 -2 0 -2 0] [-1 -1 1 0 0 1 0 -1 1 1 -1 0 -2 0 0 -1 4 0 0 0 -2 0] [ 0 1 0 1 0 1 1 1 2 0 0 1 0 1 2 0 0 4 1 -2 -1 1] [-1 0 -1 2 1 1 -1 1 0 0 1 0 0 -1 0 -2 0 1 4 -1 1 1] [ 0 -1 0 -1 0 -1 -1 -1 -1 -1 0 -1 0 -1 -2 0 0 -2 -1 4 2 -1] [-1 1 -2 0 1 -1 -1 0 -1 0 0 0 2 -1 -2 -2 -2 -1 1 2 6 -1] [ 1 1 0 1 -1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 982. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 -1 -1 0 0 -1 -2 -1 -1 0 0 -1 0 1 0 1 -2 -2 -1] [ 2 4 -2 2 0 -1 0 -1 -2 -2 -1 -2 0 1 0 -1 0 -1 1 -2 0 -1] [-2 -2 4 -2 0 0 0 -1 1 1 0 0 1 0 0 -1 0 1 0 1 0 0] [ 1 2 -2 4 0 -1 -1 1 0 -1 -1 0 0 0 0 1 -1 -1 -1 -1 1 -1] [-1 0 0 0 4 2 -1 -1 -1 0 1 1 1 1 -1 1 -2 -2 -2 0 -1 0] [-1 -1 0 -1 2 4 -1 0 1 1 2 1 -1 1 0 0 0 -1 -1 1 0 1] [ 0 0 0 -1 -1 -1 4 1 1 0 1 0 1 -1 0 0 1 2 0 0 1 1] [ 0 -1 -1 1 -1 0 1 4 2 0 1 2 0 -1 1 2 0 0 -1 0 2 1] [-1 -2 1 0 -1 1 1 2 6 2 1 2 -1 0 0 0 0 2 -1 2 1 2] [-2 -2 1 -1 0 1 0 0 2 4 0 1 0 -1 1 0 0 1 -1 2 0 1] [-1 -1 0 -1 1 2 1 1 1 0 4 2 0 1 -1 1 1 0 -1 0 1 2] [-1 -2 0 0 1 1 0 2 2 1 2 4 0 0 0 2 0 0 -2 1 1 2] [ 0 0 1 0 1 -1 1 0 -1 0 0 0 4 0 0 1 -1 0 -1 -1 0 0] [ 0 1 0 0 1 1 -1 -1 0 -1 1 0 0 4 0 -1 -1 0 1 -1 1 1] [-1 0 0 0 -1 0 0 1 0 1 -1 0 0 0 4 0 0 0 1 1 2 1] [ 0 -1 -1 1 1 0 0 2 0 0 1 2 1 -1 0 4 0 -1 -2 0 0 1] [ 1 0 0 -1 -2 0 1 0 0 0 1 0 -1 -1 0 0 4 1 1 0 0 1] [ 0 -1 1 -1 -2 -1 2 0 2 1 0 0 0 0 0 -1 1 4 1 1 1 1] [ 1 1 0 -1 -2 -1 0 -1 -1 -1 -1 -2 -1 1 1 -2 1 1 4 -1 0 0] [-2 -2 1 -1 0 1 0 0 2 2 0 1 -1 -1 1 0 0 1 -1 4 1 1] [-2 0 0 1 -1 0 1 2 1 0 1 1 0 1 2 0 0 1 0 1 6 1] [-1 -1 0 -1 0 1 1 1 2 1 2 2 0 1 1 1 1 1 0 1 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 983. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 0 1 -2 0 0 -2 0 2 2 -1 1 1 1 1 -2 -1 0] [ 1 4 0 0 1 0 1 -2 0 0 0 1 1 -1 -1 -1 1 2 1 1 -2 1] [ 2 0 4 -2 0 1 -1 0 0 1 -2 -1 1 1 0 1 0 -1 0 -1 1 0] [-2 0 -2 4 1 -1 -1 1 1 -1 2 1 -2 -2 -1 -2 -1 -1 0 1 1 -1] [-1 1 0 1 4 1 -2 0 0 0 0 -1 -2 -1 1 0 1 1 -1 2 -1 -1] [ 0 0 1 -1 1 4 -2 1 0 2 0 -1 0 -1 1 0 0 1 -1 0 -1 1] [ 1 1 -1 -1 -2 -2 6 -3 1 -1 0 1 2 1 -1 -1 0 1 2 1 -1 1] [-2 -2 0 1 0 1 -3 6 1 2 1 1 -1 -1 2 -1 0 -3 -2 1 3 0] [ 0 0 0 1 0 0 1 1 4 0 1 0 -1 0 -1 -1 -1 0 -1 0 0 1] [ 0 0 1 -1 0 2 -1 2 0 4 -1 1 0 0 2 0 0 0 -1 0 0 0] [-2 0 -2 2 0 0 0 1 1 -1 4 1 -1 -2 -1 -2 -1 0 -1 1 0 1] [ 0 1 -1 1 -1 -1 1 1 0 1 1 4 1 0 0 -2 0 0 0 1 0 0] [ 2 1 1 -2 -2 0 2 -1 -1 0 -1 1 4 1 0 0 1 0 2 0 0 1] [ 2 -1 1 -2 -1 -1 1 -1 0 0 -2 0 1 4 0 2 0 1 0 -2 -1 -1] [-1 -1 0 -1 1 1 -1 2 -1 2 -1 0 0 0 4 1 1 -1 -1 1 1 0] [ 1 -1 1 -2 0 0 -1 -1 -1 0 -2 -2 0 2 1 4 0 1 0 -2 -1 0] [ 1 1 0 -1 1 0 0 0 -1 0 -1 0 1 0 1 0 4 1 0 1 0 0] [ 1 2 -1 -1 1 1 1 -3 0 0 0 0 0 1 -1 1 1 6 0 0 -4 1] [ 1 1 0 0 -1 -1 2 -2 -1 -1 -1 0 2 0 -1 0 0 0 4 0 0 0] [-2 1 -1 1 2 0 1 1 0 0 1 1 0 -2 1 -2 1 0 0 6 1 0] [-1 -2 1 1 -1 -1 -1 3 0 0 0 0 0 -1 1 -1 0 -4 0 1 6 -1] [ 0 1 0 -1 -1 1 1 0 1 0 1 0 1 -1 0 0 0 1 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 984. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 1 0 2 1 1 0 -1 1 -1 -1 1 -1 -1 0 2 -1 2 1] [ 2 4 0 1 -1 -1 0 0 2 -1 -1 0 -1 0 1 -2 0 1 1 -1 0 1] [ 2 0 6 3 3 1 1 3 -1 -2 1 0 -1 -1 1 -2 0 -2 -1 -1 1 2] [ 2 1 3 6 3 -1 1 2 1 -3 -2 1 -1 1 -1 -2 -1 0 0 -1 0 0] [ 1 -1 3 3 6 1 2 1 -1 -3 -1 2 -2 -1 -2 -1 -2 0 0 -2 0 0] [ 0 -1 1 -1 1 4 0 -1 -1 -1 2 1 0 0 -1 1 1 -2 0 0 -1 0] [ 2 0 1 1 2 0 4 1 -1 -1 -1 0 -1 -1 -1 0 -2 0 2 -1 2 1] [ 1 0 3 2 1 -1 1 4 0 -1 0 -1 -1 -1 0 -1 0 -1 -1 -1 2 1] [ 1 2 -1 1 -1 -1 -1 0 4 0 -1 1 -1 0 1 -1 1 1 1 -1 -1 -1] [ 0 -1 -2 -3 -3 -1 -1 -1 0 6 1 0 1 -1 2 2 0 1 1 1 2 -1] [-1 -1 1 -2 -1 2 -1 0 -1 1 4 -1 0 0 1 1 1 -1 -1 0 0 0] [ 1 0 0 1 2 1 0 -1 1 0 -1 4 0 0 0 0 0 1 1 0 -1 -1] [-1 -1 -1 -1 -2 0 -1 -1 -1 1 0 0 4 2 1 1 1 0 -1 2 -1 0] [-1 0 -1 1 -1 0 -1 -1 0 -1 0 0 2 4 -1 0 0 0 -1 1 -1 0] [ 1 1 1 -1 -2 -1 -1 0 1 2 1 0 1 -1 6 0 2 1 0 1 -1 0] [-1 -2 -2 -2 -1 1 0 -1 -1 2 1 0 1 0 0 4 1 0 0 1 0 -1] [-1 0 0 -1 -2 1 -2 0 1 0 1 0 1 0 2 1 4 -1 -1 1 -2 0] [ 0 1 -2 0 0 -2 0 -1 1 1 -1 1 0 0 1 0 -1 4 1 0 0 -1] [ 2 1 -1 0 0 0 2 -1 1 1 -1 1 -1 -1 0 0 -1 1 4 -1 1 0] [-1 -1 -1 -1 -2 0 -1 -1 -1 1 0 0 2 1 1 1 1 0 -1 4 0 0] [ 2 0 1 0 0 -1 2 2 -1 2 0 -1 -1 -1 -1 0 -2 0 1 0 6 1] [ 1 1 2 0 0 0 1 1 -1 -1 0 -1 0 0 0 -1 0 -1 0 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 985. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 -1 -1 1 1 -1 1 -2 -2 2 1 1 -1 1 -1 1] [ 1 4 -1 0 -1 2 1 -2 -1 0 0 0 2 0 0 0 1 -1 -2 0 0 -1] [-1 -1 4 -1 0 0 0 0 1 1 1 -1 0 1 1 -1 -1 0 0 1 -1 0] [-1 0 -1 4 -1 0 0 1 -1 -2 -1 1 1 0 1 -1 0 0 0 -2 1 1] [ 1 -1 0 -1 4 -1 1 -1 0 0 1 -1 0 -1 0 0 -1 2 1 0 -1 0] [ 1 2 0 0 -1 4 2 0 0 0 -1 1 0 0 0 0 2 -1 -2 0 0 0] [ 2 1 0 0 1 2 4 0 0 0 1 -1 0 0 0 0 1 1 -1 0 0 0] [-1 -2 0 1 -1 0 0 4 0 0 0 0 -2 0 0 0 1 0 0 -1 0 1] [-1 -1 1 -1 0 0 0 0 4 1 0 1 -2 2 1 0 -1 -1 1 1 0 -1] [ 1 0 1 -2 0 0 0 0 1 4 1 0 -1 1 0 0 -1 0 -1 2 -1 0] [ 1 0 1 -1 1 -1 1 0 0 1 4 -1 0 0 -1 0 0 0 -1 1 -2 -1] [-1 0 -1 1 -1 1 -1 0 1 0 -1 4 -1 1 0 -1 0 -2 0 0 1 0] [ 1 2 0 1 0 0 0 -2 -2 -1 0 -1 4 -1 0 0 0 0 -1 0 0 0] [-2 0 1 0 -1 0 0 0 2 1 0 1 -1 4 2 -2 -1 -1 0 0 1 -1] [-2 0 1 1 0 0 0 0 1 0 -1 0 0 2 4 -2 -2 0 0 -1 1 0] [ 2 0 -1 -1 0 0 0 0 0 0 0 -1 0 -2 -2 4 1 1 0 1 -1 0] [ 1 1 -1 0 -1 2 1 1 -1 -1 0 0 0 -1 -2 1 4 -1 -1 0 0 0] [ 1 -1 0 0 2 -1 1 0 -1 0 0 -2 0 -1 0 1 -1 4 1 0 0 1] [-1 -2 0 0 1 -2 -1 0 1 -1 -1 0 -1 0 0 0 -1 1 4 -1 1 1] [ 1 0 1 -2 0 0 0 -1 1 2 1 0 0 0 -1 1 0 0 -1 4 0 -1] [-1 0 -1 1 -1 0 0 0 0 -1 -2 1 0 1 1 -1 0 0 1 0 4 0] [ 1 -1 0 1 0 0 0 1 -1 0 -1 0 0 -1 0 0 0 1 1 -1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 986. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 -2 2 -1 -2 1 2 1 -2 -2 1 -1 -1 2 1 1 -2 -1 -2] [-1 4 0 -1 0 -2 2 1 0 1 -1 1 -1 1 -1 -1 -2 0 -2 1 -1 -1] [ 1 0 4 0 0 1 -1 0 -1 2 -1 1 0 1 1 1 2 -1 1 1 -1 0] [ 2 -1 0 4 -2 1 0 -1 2 1 2 -1 0 0 0 0 2 1 0 -1 0 -2] [-2 0 0 -2 4 -1 -1 1 -1 -2 -2 1 2 0 0 1 -2 0 1 1 0 2] [ 2 -2 1 1 -1 4 -2 -2 1 0 1 -2 -1 1 0 1 1 1 2 -2 -1 -1] [-1 2 -1 0 -1 -2 4 0 1 1 0 0 0 -1 0 0 0 -1 -1 0 1 0] [-2 1 0 -1 1 -2 0 6 0 -2 0 4 3 0 2 -1 0 1 -2 4 1 -1] [ 1 0 -1 2 -1 1 1 0 6 -2 0 -2 -1 -1 0 0 -1 2 0 -2 -1 -3] [ 2 1 2 1 -2 0 1 -2 -2 6 1 -1 -1 2 0 0 3 -2 0 -1 -1 -1] [ 1 -1 -1 2 -2 1 0 0 0 1 4 -1 1 1 0 -1 2 1 0 -1 1 -2] [-2 1 1 -1 1 -2 0 4 -2 -1 -1 6 3 0 2 0 0 0 -2 4 1 1] [-2 -1 0 0 2 -1 0 3 -1 -1 1 3 6 0 2 1 1 0 0 2 2 1] [ 1 1 1 0 0 1 -1 0 -1 2 1 0 0 4 0 0 0 1 0 0 -1 -2] [-1 -1 1 0 0 0 0 2 0 0 0 2 2 0 4 1 1 -1 0 2 1 0] [-1 -1 1 0 1 1 0 -1 0 0 -1 0 1 0 1 4 1 -1 1 0 0 2] [ 2 -2 2 2 -2 1 0 0 -1 3 2 0 1 0 1 1 6 -1 1 0 1 0] [ 1 0 -1 1 0 1 -1 1 2 -2 1 0 0 1 -1 -1 -1 4 0 0 0 -2] [ 1 -2 1 0 1 2 -1 -2 0 0 0 -2 0 0 0 1 1 0 4 -2 0 1] [-2 1 1 -1 1 -2 0 4 -2 -1 -1 4 2 0 2 0 0 0 -2 6 2 1] [-1 -1 -1 0 0 -1 1 1 -1 -1 1 1 2 -1 1 0 1 0 0 2 4 1] [-2 -1 0 -2 2 -1 0 -1 -3 -1 -2 1 1 -2 0 2 0 -2 1 1 1 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 987. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 0 -1 1 1 2 2 1 -1 0 -1 0 -2 2 -1 -2 1 1 -2 2] [ 1 4 -2 1 -2 0 0 0 0 0 -1 1 -2 0 -1 2 1 0 -1 2 -2 2] [-1 -2 4 0 1 -1 0 0 -1 0 1 -1 1 1 2 -2 1 0 0 -2 0 -2] [ 0 1 0 6 2 0 2 1 -2 -1 2 0 -2 -2 -1 2 2 -2 -1 1 0 -2] [-1 -2 1 2 6 -1 2 1 0 -2 0 1 1 0 2 -2 -1 0 -1 -1 0 -3] [ 1 0 -1 0 -1 4 -1 1 0 2 -1 -1 -1 -2 -2 2 -1 -1 2 0 -1 2] [ 1 0 0 2 2 -1 4 2 1 -2 1 0 0 0 1 1 0 -1 0 0 -1 -1] [ 2 0 0 1 1 1 2 4 2 -1 -1 0 0 0 -1 2 0 -2 0 0 -2 1] [ 2 0 -1 -2 0 0 1 2 4 0 -2 1 1 1 0 1 -2 -1 0 0 -1 1] [ 1 0 0 -1 -2 2 -2 -1 0 4 -1 -1 -1 -1 -1 0 -1 -1 2 0 0 1] [-1 -1 1 2 0 -1 1 -1 -2 -1 4 -1 0 -1 0 0 1 0 0 0 2 -2] [ 0 1 -1 0 1 -1 0 0 1 -1 -1 4 -1 1 1 0 0 1 -1 0 -1 -1] [-1 -2 1 -2 1 -1 0 0 1 -1 0 -1 4 1 1 -2 -1 1 0 -1 2 0] [ 0 0 1 -2 0 -2 0 0 1 -1 -1 1 1 4 1 -1 0 1 -1 0 0 0] [-2 -1 2 -1 2 -2 1 -1 0 -1 0 1 1 1 6 -2 0 2 0 -1 0 -3] [ 2 2 -2 2 -2 2 1 2 1 0 0 0 -2 -1 -2 6 1 -2 0 2 -1 2] [-1 1 1 2 -1 -1 0 0 -2 -1 1 0 -1 0 0 1 4 0 -1 0 0 0] [-2 0 0 -2 0 -1 -1 -2 -1 -1 0 1 1 1 2 -2 0 4 0 0 1 0] [ 1 -1 0 -1 -1 2 0 0 0 2 0 -1 0 -1 0 0 -1 0 4 -1 0 1] [ 1 2 -2 1 -1 0 0 0 0 0 0 0 -1 0 -1 2 0 0 -1 4 1 1] [-2 -2 0 0 0 -1 -1 -2 -1 0 2 -1 2 0 0 -1 0 1 0 1 6 -2] [ 2 2 -2 -2 -3 2 -1 1 1 1 -2 -1 0 0 -3 2 0 0 1 1 -2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 988. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 0 1 -2 -1 -2 -2 -1 -1 0 0 -1 1 1 2 0 0 -2 -2] [ 1 4 -1 -2 0 0 0 0 -2 -2 -1 0 1 0 -2 0 1 -1 0 0 -2 0] [-2 -1 6 3 2 -2 1 -1 0 0 -1 1 -2 2 0 -1 -1 -1 1 -1 3 3] [-1 -2 3 6 1 -1 -1 -2 0 0 -2 2 -1 1 0 -2 1 1 2 1 3 3] [ 0 0 2 1 4 -1 0 0 0 -2 -1 -1 -1 0 0 1 1 0 2 1 0 0] [ 1 0 -2 -1 -1 4 -1 1 1 -1 0 0 1 1 1 -1 -1 1 -1 1 -2 0] [-2 0 1 -1 0 -1 4 2 1 0 2 1 1 0 0 0 0 -2 0 -1 1 0] [-1 0 -1 -2 0 1 2 4 2 0 1 -1 2 0 0 0 0 -1 0 1 -1 0] [-2 -2 0 0 0 1 1 2 4 2 1 0 1 0 2 0 -1 -1 0 1 0 0] [-2 -2 0 0 -2 -1 0 0 2 6 2 0 -1 0 2 1 -2 0 -2 -1 2 0] [-1 -1 -1 -2 -1 0 2 1 1 2 4 0 0 -1 1 1 -1 0 -1 -1 1 -1] [-1 0 1 2 -1 0 1 -1 0 0 0 4 0 1 0 -2 0 0 0 0 2 2] [ 0 1 -2 -1 -1 1 1 2 1 -1 0 0 4 -1 -1 -1 1 -1 0 1 -1 0] [ 0 0 2 1 0 1 0 0 0 0 -1 1 -1 4 1 -1 -1 0 0 0 0 2] [-1 -2 0 0 0 1 0 0 2 2 1 0 -1 1 4 0 -2 0 -1 0 0 0] [ 1 0 -1 -2 1 -1 0 0 0 1 1 -2 -1 -1 0 4 0 0 0 -1 -1 -3] [ 1 1 -1 1 1 -1 0 0 -1 -2 -1 0 1 -1 -2 0 4 0 2 1 -1 -1] [ 2 -1 -1 1 0 1 -2 -1 -1 0 0 0 -1 0 0 0 0 4 0 1 1 0] [ 0 0 1 2 2 -1 0 0 0 -2 -1 0 0 0 -1 0 2 0 4 1 0 1] [ 0 0 -1 1 1 1 -1 1 1 -1 -1 0 1 0 0 -1 1 1 1 4 0 1] [-2 -2 3 3 0 -2 1 -1 0 2 1 2 -1 0 0 -1 -1 1 0 0 6 2] [-2 0 3 3 0 0 0 0 0 0 -1 2 0 2 0 -3 -1 0 1 1 2 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 989. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -2 1 -1 1 -2 2 1 2 1 -1 -1 2 -1 -1 -2 -1 1] [ 1 4 -2 2 1 -2 2 -2 0 0 -1 -1 1 0 -2 0 -1 0 -2 -2 -2 0] [-1 -2 4 -2 -1 1 -2 0 0 0 -1 0 -2 0 0 1 0 0 1 0 1 1] [ 1 2 -2 4 2 0 2 -2 1 0 -1 -1 2 1 0 0 1 0 -2 -2 -2 0] [ 2 1 -1 2 4 0 1 -1 2 0 1 1 1 2 0 0 2 0 -1 -1 -1 0] [-2 -2 1 0 0 4 -1 1 1 1 -1 0 -1 0 1 1 1 1 0 1 1 0] [ 1 2 -2 2 1 -1 4 -1 1 0 1 -1 2 1 0 -1 1 1 -2 0 -1 1] [-1 -2 0 -2 -1 1 -1 4 -1 0 2 0 0 -1 1 0 -1 1 1 2 2 -1] [ 1 0 0 1 2 1 1 -1 4 1 0 0 0 2 0 1 2 1 -1 0 0 1] [-2 0 0 0 0 1 0 0 1 4 -1 -1 -1 0 0 0 0 0 0 2 0 0] [ 2 -1 -1 -1 1 -1 1 2 0 -1 6 2 2 0 1 -1 2 0 1 1 1 0] [ 1 -1 0 -1 1 0 -1 0 0 -1 2 4 -1 1 1 -1 2 -1 1 0 0 -1] [ 2 1 -2 2 1 -1 2 0 0 -1 2 -1 4 0 0 -1 1 0 -1 -1 -1 1] [ 1 0 0 1 2 0 1 -1 2 0 0 1 0 4 1 0 2 1 -1 -1 -1 1] [-1 -2 0 0 0 1 0 1 0 0 1 1 0 1 4 -1 1 1 1 2 1 -1] [-1 0 1 0 0 1 -1 0 1 0 -1 -1 -1 0 -1 4 -1 1 0 -1 1 0] [ 2 -1 0 1 2 1 1 -1 2 0 2 2 1 2 1 -1 6 0 -1 -1 -1 2] [-1 0 0 0 0 1 1 1 1 0 0 -1 0 1 1 1 0 4 0 0 0 0] [-1 -2 1 -2 -1 0 -2 1 -1 0 1 1 -1 -1 1 0 -1 0 4 1 1 -1] [-2 -2 0 -2 -1 1 0 2 0 2 1 0 -1 -1 2 -1 -1 0 1 6 3 -1] [-1 -2 1 -2 -1 1 -1 2 0 0 1 0 -1 -1 1 1 -1 0 1 3 4 -1] [ 1 0 1 0 0 0 1 -1 1 0 0 -1 1 1 -1 0 2 0 -1 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 990. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 -1 1 1 1 1 1 1 -1 -1 1 -1 -1 1 1 -1 0] [ 1 4 -2 -1 2 -1 0 -1 0 -1 0 1 -1 -1 1 1 0 1 0 -1 1 1] [-1 -2 4 0 -2 1 1 1 -1 0 0 -1 0 2 -1 -2 1 1 -1 -1 -1 1] [ 1 -1 0 4 -1 2 -2 1 2 1 0 -1 1 -1 -2 0 -2 -2 1 2 -2 0] [ 1 2 -2 -1 4 -2 -1 0 0 0 0 0 -1 0 2 2 -1 -1 1 1 1 0] [ 1 -1 1 2 -2 4 -1 0 0 0 0 0 2 0 -1 -1 -1 -1 1 1 -2 0] [-1 0 1 -2 -1 -1 4 -1 -2 0 1 0 -1 1 -1 0 1 3 -2 -3 1 0] [ 1 -1 1 1 0 0 -1 4 1 0 -1 0 0 0 -1 0 -1 -2 1 2 -1 1] [ 1 0 -1 2 0 0 -2 1 4 1 0 1 0 -2 0 1 -1 -2 0 2 -1 -1] [ 1 -1 0 1 0 0 0 0 1 4 0 0 -1 0 -2 1 0 -1 0 1 -1 0] [ 1 0 0 0 0 0 1 -1 0 0 4 1 1 -1 -1 1 0 2 0 -2 0 -1] [ 1 1 -1 -1 0 0 0 0 1 0 1 4 1 -1 1 0 1 1 1 -1 1 -1] [ 1 -1 0 1 -1 2 -1 0 0 -1 1 1 4 -1 0 -1 0 0 1 0 -1 -1] [-1 -1 2 -1 0 0 1 0 -2 0 -1 -1 -1 4 1 -1 0 1 0 -1 1 0] [-1 1 -1 -2 2 -1 -1 -1 0 -2 -1 1 0 1 6 0 0 -1 0 0 2 -1] [ 1 1 -2 0 2 -1 0 0 1 1 1 0 -1 -1 0 4 -1 -1 0 1 0 0] [-1 0 1 -2 -1 -1 1 -1 -1 0 0 1 0 0 0 -1 4 2 -1 -2 1 1] [-1 1 1 -2 -1 -1 3 -2 -2 -1 2 1 0 1 -1 -1 2 6 -1 -4 2 0] [ 1 0 -1 1 1 1 -2 1 0 0 0 1 1 0 0 0 -1 -1 4 1 0 0] [ 1 -1 -1 2 1 1 -3 2 2 1 -2 -1 0 -1 0 1 -2 -4 1 6 -1 0] [-1 1 -1 -2 1 -2 1 -1 -1 -1 0 1 -1 1 2 0 1 2 0 -1 4 -1] [ 0 1 1 0 0 0 0 1 -1 0 -1 -1 -1 0 -1 0 1 0 0 0 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 991. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 -1 0 -2 -2 -1 0 1 0 1 2 -2 0 -1 -2 1 1 -2] [-2 4 -2 -1 -1 0 1 2 1 1 0 -2 1 1 -2 2 0 -1 1 -1 1 1] [ 2 -2 4 0 1 0 -1 -2 -1 -2 -1 1 1 -1 1 -1 0 -1 -1 1 1 -2] [ 1 -1 0 4 2 0 -1 -1 -1 -1 -1 2 1 1 0 0 -1 0 0 -1 0 1] [ 1 -1 1 2 4 1 0 -1 0 -2 -1 1 1 -1 1 0 -1 -1 0 1 1 -1] [-1 0 0 0 1 4 0 0 1 -1 1 1 -1 -2 0 2 0 1 2 1 -1 -1] [ 0 1 -1 -1 0 0 4 0 1 1 2 -2 0 0 -1 1 -1 1 -1 0 -1 0] [-2 2 -2 -1 -1 0 0 4 2 2 1 -1 -1 0 0 0 1 -1 2 0 1 0] [-2 1 -1 -1 0 1 1 2 4 1 1 -1 -1 -1 -1 0 1 1 1 0 -1 1] [-1 1 -2 -1 -2 -1 1 2 1 4 1 -1 -1 1 0 -1 0 0 0 -1 0 0] [ 0 0 -1 -1 -1 1 2 1 1 1 4 0 -2 0 0 1 1 2 0 0 -2 0] [ 1 -2 1 2 1 1 -2 -1 -1 -1 0 4 0 0 1 0 0 0 0 0 0 0] [ 0 1 1 1 1 -1 0 -1 -1 -1 -2 0 4 1 -1 1 -1 -2 -1 -1 2 0] [ 1 1 -1 1 -1 -2 0 0 -1 1 0 0 1 4 -1 -1 0 -1 -1 -2 1 1] [ 2 -2 1 0 1 0 -1 0 -1 0 0 1 -1 -1 4 -2 1 -1 0 2 1 -3] [-2 2 -1 0 0 2 1 0 0 -1 1 0 1 -1 -2 6 -1 2 1 0 -2 2] [ 0 0 0 -1 -1 0 -1 1 1 0 1 0 -1 0 1 -1 4 1 0 0 0 0] [-1 -1 -1 0 -1 1 1 -1 1 0 2 0 -2 -1 -1 2 1 6 0 0 -4 3] [-2 1 -1 0 0 2 -1 2 1 0 0 0 -1 -1 0 1 0 0 4 0 0 0] [ 1 -1 1 -1 1 1 0 0 0 -1 0 0 -1 -2 2 0 0 0 0 4 1 -2] [ 1 1 1 0 1 -1 -1 1 -1 0 -2 0 2 1 1 -2 0 -4 0 1 6 -3] [-2 1 -2 1 -1 -1 0 0 1 0 0 0 0 1 -3 2 0 3 0 -2 -3 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 992. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 1 2 -2 0 -1 2 -1 1 0 2 1 0 2 1 -1 0 1] [ 1 4 0 0 0 -1 1 -1 1 -2 0 0 -1 1 -1 -1 1 0 1 -1 0 2] [ 2 0 4 -2 -1 1 1 -1 0 0 0 -1 1 0 1 1 0 0 -1 0 -1 1] [-2 0 -2 4 2 -2 -1 1 0 0 -2 1 0 -1 -2 -1 1 -2 0 -1 0 -1] [-1 0 -1 2 4 -1 1 2 0 0 -1 2 0 1 -1 1 2 -1 0 -2 0 1] [ 1 -1 1 -2 -1 4 1 0 1 1 2 -1 -1 -1 1 1 -2 0 -1 2 -1 -1] [ 2 1 1 -1 1 1 4 0 1 -1 2 0 0 1 1 1 1 1 1 -2 0 2] [-2 -1 -1 1 2 0 0 4 1 1 0 2 -1 1 0 1 1 -2 0 -1 0 0] [ 0 1 0 0 0 1 1 1 4 1 1 1 0 -1 0 -1 -1 0 1 -1 0 -1] [-1 -2 0 0 0 1 -1 1 1 4 -1 0 0 -1 0 1 -1 -1 0 0 -1 -1] [ 2 0 0 -2 -1 2 2 0 1 -1 6 -1 0 1 3 1 0 2 2 -1 2 1] [-1 0 -1 1 2 -1 0 2 1 0 -1 4 1 0 0 0 1 -1 0 -1 0 0] [ 1 -1 1 0 0 -1 0 -1 0 0 0 1 4 -1 1 0 0 1 0 -1 1 0] [ 0 1 0 -1 1 -1 1 1 -1 -1 1 0 -1 4 0 1 2 0 1 -1 1 3] [ 2 -1 1 -2 -1 1 1 0 0 0 3 0 1 0 4 1 0 2 1 -1 1 0] [ 1 -1 1 -1 1 1 1 1 -1 1 1 0 0 1 1 4 1 -1 0 -1 -1 2] [ 0 1 0 1 2 -2 1 1 -1 -1 0 1 0 2 0 1 4 -1 1 -2 1 3] [ 2 0 0 -2 -1 0 1 -2 0 -1 2 -1 1 0 2 -1 -1 6 2 -1 1 -1] [ 1 1 -1 0 0 -1 1 0 1 0 2 0 0 1 1 0 1 2 4 -3 1 1] [-1 -1 0 -1 -2 2 -2 -1 -1 0 -1 -1 -1 -1 -1 -1 -2 -1 -3 6 0 -2] [ 0 0 -1 0 0 -1 0 0 0 -1 2 0 1 1 1 -1 1 1 1 0 4 0] [ 1 2 1 -1 1 -1 2 0 -1 -1 1 0 0 3 0 2 3 -1 1 -2 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 993. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 2 1 0 1 -2 0 1 2 -2 -1 -1 -2 0 0 0 1] [ 1 4 2 -1 -2 2 1 -1 1 2 0 -1 0 2 0 -2 1 1 -1 0 1 1] [ 2 2 4 -2 0 0 0 0 1 1 -1 -1 0 1 -1 -1 -1 0 -1 1 1 0] [-1 -1 -2 4 0 0 0 0 1 0 1 -1 1 1 1 0 0 -1 2 0 1 -1] [-1 -2 0 0 4 -2 -1 0 -1 0 0 1 -1 -1 0 1 -1 -1 0 0 0 -1] [ 1 2 0 0 -2 4 2 -1 0 1 -1 -1 0 1 0 0 0 1 0 0 0 2] [ 2 1 0 0 -1 2 4 1 0 2 -2 1 0 2 0 0 0 -1 0 0 0 1] [ 1 -1 0 0 0 -1 1 4 -1 0 0 1 1 0 0 0 1 -2 -1 0 -1 0] [ 0 1 1 1 -1 0 0 -1 4 1 0 -1 1 1 0 -1 0 0 0 0 1 -1] [ 1 2 1 0 0 1 2 0 1 4 -1 0 0 2 0 -1 1 0 0 -1 0 1] [-2 0 -1 1 0 -1 -2 0 0 -1 4 -1 1 0 1 -1 1 1 0 0 1 0] [ 0 -1 -1 -1 1 -1 1 1 -1 0 -1 4 0 -1 0 1 0 -1 -1 0 -1 -1] [ 1 0 0 1 -1 0 0 1 1 0 1 0 4 1 0 -1 0 0 1 1 1 0] [ 2 2 1 1 -1 1 2 0 1 2 0 -1 1 6 1 -3 -1 0 1 -1 2 1] [-2 0 -1 1 0 0 0 0 0 0 1 0 0 1 4 0 0 1 0 0 1 0] [-1 -2 -1 0 1 0 0 0 -1 -1 -1 1 -1 -3 0 4 0 0 0 1 -1 0] [-1 1 -1 0 -1 0 0 1 0 1 1 0 0 -1 0 0 4 0 -1 -1 -1 1] [-2 1 0 -1 -1 1 -1 -2 0 0 1 -1 0 0 1 0 0 6 1 1 1 1] [ 0 -1 -1 2 0 0 0 -1 0 0 0 -1 1 1 0 0 -1 1 4 0 1 0] [ 0 0 1 0 0 0 0 0 0 -1 0 0 1 -1 0 1 -1 1 0 4 2 -1] [ 0 1 1 1 0 0 0 -1 1 0 1 -1 1 2 1 -1 -1 1 1 2 4 -1] [ 1 1 0 -1 -1 2 1 0 -1 1 0 -1 0 1 0 0 1 1 0 -1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 994. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 1 -2 0 0 2 0 -1 1 0 -1 -2 0 1 -2 2 -1 0 0] [-1 4 -1 0 -2 1 1 1 1 1 1 1 1 -1 2 -1 -2 2 -1 2 -1 1] [-2 -1 4 -2 0 2 0 -1 -2 0 0 0 0 1 1 0 0 0 -1 1 0 0] [ 2 0 -2 4 0 -1 1 -1 1 -1 -1 -1 1 -2 0 -1 1 -2 1 -2 1 1] [ 1 -2 0 0 6 -3 -2 0 0 -2 -2 -1 -2 2 1 -1 1 1 0 -3 -1 -3] [-2 1 2 -1 -3 6 2 1 -1 2 1 0 0 0 -1 -1 -2 0 -1 2 1 2] [ 0 1 0 1 -2 2 4 0 -1 2 1 0 2 -2 -1 0 0 0 1 0 1 1] [ 0 1 -1 -1 0 1 0 4 0 1 0 0 -1 0 -1 0 -2 2 -1 0 -1 0] [ 2 1 -2 1 0 -1 -1 0 4 0 -1 1 0 0 0 0 -1 0 1 0 0 0] [ 0 1 0 -1 -2 2 2 1 0 4 2 1 1 -1 -2 1 -1 0 0 2 1 0] [-1 1 0 -1 -2 1 1 0 -1 2 4 1 1 -1 -1 1 -1 0 0 2 0 0] [ 1 1 0 -1 -1 0 0 0 1 1 1 4 0 0 -1 0 0 -1 1 3 -1 0] [ 0 1 0 1 -2 0 2 -1 0 1 1 0 4 -2 0 1 0 -1 0 0 1 1] [-1 -1 1 -2 2 0 -2 0 0 -1 -1 0 -2 4 0 0 0 1 -1 0 0 -1] [-2 2 1 0 1 -1 -1 -1 0 -2 -1 -1 0 0 6 -2 -1 2 -1 0 -2 0] [ 0 -1 0 -1 -1 -1 0 0 0 1 1 0 1 0 -2 4 1 0 0 0 1 0] [ 1 -2 0 1 1 -2 0 -2 -1 -1 -1 0 0 0 -1 1 4 -2 1 -1 1 0] [-2 2 0 -2 1 0 0 2 0 0 0 -1 -1 1 2 0 -2 6 -1 0 -1 -1] [ 2 -1 -1 1 0 -1 1 -1 1 0 0 1 0 -1 -1 0 1 -1 4 -1 0 0] [-1 2 1 -2 -3 2 0 0 0 2 2 3 0 0 0 0 -1 0 -1 6 0 1] [ 0 -1 0 1 -1 1 1 -1 0 1 0 -1 1 0 -2 1 1 -1 0 0 4 0] [ 0 1 0 1 -3 2 1 0 0 0 0 0 1 -1 0 0 0 -1 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = true LatDB = - 995. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 1 -1 2 -1 -1 2 -1 0 -1 2 -2 1 -2 -2 0 0 -2] [ 1 4 -2 2 -1 1 -2 0 0 -1 0 1 -1 -1 2 -2 -1 0 -1 -1 1 0] [-1 -2 4 -1 2 -1 0 -1 1 2 -1 -1 -1 0 -1 2 0 1 0 -1 1 1] [ 1 2 -1 6 -3 -1 -1 1 2 0 -1 0 0 -2 0 -2 0 0 -2 0 -1 0] [-1 -1 2 -3 6 0 1 0 0 0 1 1 0 2 0 2 1 1 2 0 2 1] [ 1 1 -1 -1 0 4 -1 -1 -1 -2 2 1 0 1 0 0 1 -2 0 0 -1 -1] [-1 -2 0 -1 1 -1 4 1 -1 -1 0 -1 1 1 -2 1 0 0 2 1 0 1] [ 2 0 -1 1 0 -1 1 4 0 -1 1 -1 0 -1 0 -1 1 -1 -1 0 1 -1] [-1 0 1 2 0 -1 -1 0 4 1 -1 1 -1 -1 0 0 1 1 0 -1 -1 0] [-1 -1 2 0 0 -2 -1 -1 1 4 -1 0 -1 -1 0 1 -1 2 0 -1 1 0] [ 2 0 -1 -1 1 2 0 1 -1 -1 4 0 0 1 1 0 1 -1 0 0 0 -2] [-1 1 -1 0 1 1 -1 -1 1 0 0 4 1 1 1 0 1 1 1 1 -1 0] [ 0 -1 -1 0 0 0 1 0 -1 -1 0 1 4 2 0 0 1 0 0 2 -2 0] [-1 -1 0 -2 2 1 1 -1 -1 -1 1 1 2 4 -1 1 0 0 1 1 0 1] [ 2 2 -1 0 0 0 -2 0 0 0 1 1 0 -1 6 -1 1 1 -1 0 -1 -2] [-2 -2 2 -2 2 0 1 -1 0 1 0 0 0 1 -1 4 1 1 1 0 0 1] [ 1 -1 0 0 1 1 0 1 1 -1 1 1 1 0 1 1 4 -1 0 1 -2 -1] [-2 0 1 0 1 -2 0 -1 1 2 -1 1 0 0 1 1 -1 4 1 0 1 1] [-2 -1 0 -2 2 0 2 -1 0 0 0 1 0 1 -1 1 0 1 4 0 0 1] [ 0 -1 -1 0 0 0 1 0 -1 -1 0 1 2 1 0 0 1 0 0 4 -1 0] [ 0 1 1 -1 2 -1 0 1 -1 1 0 -1 -2 0 -1 0 -2 1 0 -1 6 1] [-2 0 1 0 1 -1 1 -1 0 0 -2 0 0 1 -2 1 -1 1 1 0 1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 996. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 0 1 0 -1 0 2 -1 0 1 0 2 0 -1 2 2 2 0 -1] [ 2 4 -1 -2 -1 0 0 -1 0 0 0 0 2 -1 2 -1 0 2 0 0 -1 1] [ 0 -1 4 0 -1 2 0 1 0 1 -1 0 0 2 -2 -1 -2 -2 -1 1 0 -1] [-1 -2 0 6 2 -2 1 -2 2 1 1 1 -1 2 0 -1 -1 0 1 1 0 -2] [ 0 -1 -1 2 6 1 0 1 0 2 -2 -2 -2 0 2 0 0 2 0 1 2 1] [ 1 0 2 -2 1 6 -1 3 -2 1 -2 -2 1 0 -1 1 -2 -1 -2 1 0 -1] [ 0 0 0 1 0 -1 4 -2 2 0 -1 -1 0 1 2 0 0 2 2 0 0 -2] [-1 -1 1 -2 1 3 -2 6 -1 -1 -1 0 -1 0 -3 1 1 -3 -1 -1 2 1] [ 0 0 0 2 0 -2 2 -1 4 0 1 1 0 2 1 0 0 1 1 0 0 -1] [ 2 0 1 1 2 1 0 -1 0 4 -2 0 -1 1 1 0 -2 2 1 2 0 -1] [-1 0 -1 1 -2 -2 -1 -1 1 -2 4 2 1 0 -1 0 1 -1 -1 -1 -1 0] [ 0 0 0 1 -2 -2 -1 0 1 0 2 4 0 1 -2 0 0 -1 1 0 0 -1] [ 1 2 0 -1 -2 1 0 -1 0 -1 1 0 4 0 0 -1 -1 0 -1 0 -1 -1] [ 0 -1 2 2 0 0 1 0 2 1 0 1 0 4 -1 -1 -1 0 1 0 0 -2] [ 2 2 -2 0 2 -1 2 -3 1 1 -1 -2 0 -1 6 0 0 4 1 1 0 1] [ 0 -1 -1 -1 0 1 0 1 0 0 0 0 -1 -1 0 4 1 0 0 0 0 0] [-1 0 -2 -1 0 -2 0 1 0 -2 1 0 -1 -1 0 1 4 0 1 -2 1 2] [ 2 2 -2 0 2 -1 2 -3 1 2 -1 -1 0 0 4 0 0 6 2 1 0 0] [ 2 0 -1 1 0 -2 2 -1 1 1 -1 1 -1 1 1 0 1 2 6 0 1 -2] [ 2 0 1 1 1 1 0 -1 0 2 -1 0 0 0 1 0 -2 1 0 4 1 -1] [ 0 -1 0 0 2 0 0 2 0 0 -1 0 -1 0 0 0 1 0 1 1 4 0] [-1 1 -1 -2 1 -1 -2 1 -1 -1 0 -1 -1 -2 1 0 2 0 -2 -1 0 6] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 997. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 0 0 1 -2 -1 -1 0 -1 -1 -2 1 -1 1 -1 1 0 2] [ 1 4 0 -2 0 1 -1 0 0 -1 -1 1 0 0 0 0 1 1 -2 0 1 1] [ 2 0 4 -1 0 1 -1 0 -2 1 1 -1 -2 0 -2 0 0 0 0 1 -1 1] [-1 -2 -1 4 -1 -2 0 0 0 -1 1 -1 0 0 1 1 -1 -1 2 0 -1 0] [ 2 0 0 -1 4 -1 0 0 -1 0 -2 1 1 0 -1 0 0 1 0 1 1 1] [ 0 1 1 -2 -1 4 0 -1 0 0 1 0 0 1 0 -1 1 -1 -2 -1 0 0] [ 0 -1 -1 0 0 0 4 1 0 -1 -1 0 0 -1 -1 -1 0 1 -1 -1 0 0] [ 1 0 0 0 0 -1 1 4 -1 0 -2 -1 0 -1 -1 1 0 1 0 1 -1 1] [-2 0 -2 0 -1 0 0 -1 4 1 0 0 0 0 2 -1 0 0 0 0 0 -2] [-1 -1 1 -1 0 0 -1 0 1 4 0 0 0 1 0 0 1 0 1 1 0 -1] [-1 -1 1 1 -2 1 -1 -2 0 0 4 0 -1 0 1 0 -1 -1 1 -1 0 -1] [ 0 1 -1 -1 1 0 0 -1 0 0 0 4 2 1 0 -1 0 1 0 0 1 1] [-1 0 -2 0 1 0 0 0 0 0 -1 2 4 2 1 0 1 0 0 0 1 1] [-1 0 0 0 0 1 -1 -1 0 1 0 1 2 4 1 0 2 0 0 1 0 1] [-2 0 -2 1 -1 0 -1 -1 2 0 1 0 1 1 4 1 0 0 1 -1 0 -1] [ 1 0 0 1 0 -1 -1 1 -1 0 0 -1 0 0 1 4 -1 0 1 0 0 1] [-1 1 0 -1 0 1 0 0 0 1 -1 0 1 2 0 -1 4 1 -1 0 1 0] [ 1 1 0 -1 1 -1 1 1 0 0 -1 1 0 0 0 0 1 4 0 1 1 1] [-1 -2 0 2 0 -2 -1 0 0 1 1 0 0 0 1 1 -1 0 4 0 -1 0] [ 1 0 1 0 1 -1 -1 1 0 1 -1 0 0 1 -1 0 0 1 0 4 0 1] [ 0 1 -1 -1 1 0 0 -1 0 0 0 1 1 0 0 0 1 1 -1 0 4 -1] [ 2 1 1 0 1 0 0 1 -2 -1 -1 1 1 1 -1 1 0 1 0 1 -1 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 998. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 2 -1 -2 1 0 -1 -2 0 1 0 -1 -2 2 2 -1 -2 -1 0] [-2 4 0 -1 -1 2 2 -1 -1 1 2 -1 -2 1 0 0 -1 -2 1 2 1 1] [ 0 0 4 0 1 2 0 0 0 1 0 1 1 1 2 1 0 -2 -1 2 1 1] [ 1 -1 0 4 -1 0 0 0 2 -1 -1 -1 1 -1 1 -2 -1 2 1 -2 0 -1] [ 2 -1 1 -1 6 -2 -1 2 -2 -2 -2 1 0 2 -1 -2 1 1 -3 -1 -2 2] [-1 2 2 0 -2 6 0 0 0 1 2 1 1 1 2 1 1 -2 1 2 1 1] [-2 2 0 0 -1 0 4 -2 1 1 0 0 -2 1 0 0 -2 0 1 0 1 0] [ 1 -1 0 0 2 0 -2 4 -2 -2 0 0 1 1 0 0 1 0 -2 0 -2 0] [ 0 -1 0 2 -2 0 1 -2 4 1 -1 0 0 -1 1 -1 -1 1 2 -1 1 -1] [-1 1 1 -1 -2 1 1 -2 1 4 1 0 0 -1 1 2 0 -2 1 2 1 -1] [-2 2 0 -1 -2 2 0 0 -1 1 4 -1 0 -1 1 1 -1 -2 1 2 1 0] [ 0 -1 1 -1 1 1 0 0 0 0 -1 4 0 1 0 0 1 1 0 -1 -1 0] [ 1 -2 1 1 0 1 -2 1 0 0 0 0 4 -1 1 1 1 0 -1 0 0 0] [ 0 1 1 -1 2 1 1 1 -1 -1 -1 1 -1 4 0 0 0 0 -1 0 0 1] [-1 0 2 1 -1 2 0 0 1 1 1 0 1 0 4 1 -1 -2 0 1 1 0] [-2 0 1 -2 -2 1 0 0 -1 2 1 0 1 0 1 6 1 -3 -1 3 1 0] [ 2 -1 0 -1 1 1 -2 1 -1 0 -1 1 1 0 -1 1 4 0 -1 0 -1 1] [ 2 -2 -2 2 1 -2 0 0 1 -2 -2 1 0 0 -2 -3 0 6 1 -4 -1 -1] [-1 1 -1 1 -3 1 1 -2 2 1 1 0 -1 -1 0 -1 -1 1 4 -1 1 -1] [-2 2 2 -2 -1 2 0 0 -1 2 2 -1 0 0 1 3 0 -4 -1 6 2 1] [-1 1 1 0 -2 1 1 -2 1 1 1 -1 0 0 1 1 -1 -1 1 2 4 0] [ 0 1 1 -1 2 1 0 0 -1 -1 0 0 0 1 0 0 1 -1 -1 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 999. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 -1 -2 0 0 -1 0 1 2 1 2 1 0 -2 -1 -1 1 1 0] [ 1 4 -1 -1 1 -1 0 0 0 1 1 2 0 2 2 0 1 1 0 1 -1 1] [ 0 -1 4 1 -2 -1 -1 1 0 -1 0 -1 -1 -2 -2 -1 -1 -2 -1 0 0 1] [-2 -1 1 4 -1 2 1 -1 1 1 0 0 0 -2 -2 -1 1 -1 -1 0 -1 -1] [-1 1 -2 -1 4 1 -1 -1 0 0 0 -1 -1 1 1 0 2 2 1 0 -1 0] [-2 -1 -1 2 1 4 0 -2 1 0 -1 0 0 0 0 0 2 0 1 -1 -1 -2] [ 0 0 -1 1 -1 0 4 -1 0 1 1 2 0 0 -1 1 -1 1 0 1 0 -1] [ 0 0 1 -1 -1 -2 -1 4 -1 0 0 -2 1 0 1 1 -1 0 -1 0 0 2] [-1 0 0 1 0 1 0 -1 4 0 -2 1 0 -2 1 -2 1 0 0 -2 -1 -1] [ 0 1 -1 1 0 0 1 0 0 4 0 0 1 1 0 0 1 1 0 0 0 0] [ 1 1 0 0 0 -1 1 0 -2 0 4 0 0 0 0 1 -1 0 -1 2 0 1] [ 2 2 -1 0 -1 0 2 -2 1 0 0 6 1 1 0 -1 0 0 0 0 -1 -2] [ 1 0 -1 0 -1 0 0 1 0 1 0 1 4 0 2 0 0 -1 0 0 0 0] [ 2 2 -2 -2 1 0 0 0 -2 1 0 1 0 6 1 2 0 1 0 1 1 0] [ 1 2 -2 -2 1 0 -1 1 1 0 0 0 2 1 6 0 0 0 1 0 -1 1] [ 0 0 -1 -1 0 0 1 1 -2 0 1 -1 0 2 0 4 0 1 0 1 1 1] [-2 1 -1 1 2 2 -1 -1 1 1 -1 0 0 0 0 0 4 1 1 -1 -1 0] [-1 1 -2 -1 2 0 1 0 0 1 0 0 -1 1 0 1 1 4 1 0 0 0] [-1 0 -1 -1 1 1 0 -1 0 0 -1 0 0 0 1 0 1 1 4 -1 0 0] [ 1 1 0 0 0 -1 1 0 -2 0 2 0 0 1 0 1 -1 0 -1 4 1 1] [ 1 -1 0 -1 -1 -1 0 0 -1 0 0 -1 0 1 -1 1 -1 0 0 1 4 0] [ 0 1 1 -1 0 -2 -1 2 -1 0 1 -2 0 0 1 1 0 0 0 1 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 1000. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 1 0 1 0 0 -1 -1 2 1 1 1 0 1 -1 -1 -1 0] [ 2 4 -2 -1 -1 0 -1 0 -1 -1 0 0 2 -1 1 0 -1 1 -1 0 -1 1] [-2 -2 4 1 2 -1 -1 -1 0 -1 0 0 -2 1 -1 -1 1 -1 2 0 2 0] [ 0 -1 1 4 2 1 -1 1 0 -1 -2 -2 0 2 1 1 2 1 0 0 2 1] [-1 -1 2 2 4 1 -2 1 0 -2 0 0 -1 2 1 1 2 1 1 0 1 0] [ 1 0 -1 1 1 4 0 1 -1 0 0 0 0 2 2 1 0 2 0 1 1 0] [ 0 -1 -1 -1 -2 0 4 0 1 2 1 1 -1 -1 0 -1 0 0 -1 1 -1 0] [ 1 0 -1 1 1 1 0 4 1 0 -1 -1 0 0 0 2 0 0 -2 -1 0 1] [ 0 -1 0 0 0 -1 1 1 4 0 -1 0 0 1 0 -1 1 0 0 0 0 -1] [ 0 -1 -1 -1 -2 0 2 0 0 4 0 1 0 -1 -1 0 -1 0 -1 1 -1 -1] [-1 0 0 -2 0 0 1 -1 -1 0 4 2 -1 -1 0 0 0 0 1 1 -2 0] [-1 0 0 -2 0 0 1 -1 0 1 2 4 -1 -1 0 -1 0 1 0 1 -2 -1] [ 2 2 -2 0 -1 0 -1 0 0 0 -1 -1 4 1 1 0 -1 1 -1 0 0 0] [ 1 -1 1 2 2 2 -1 0 1 -1 -1 -1 1 6 1 0 1 2 1 1 1 0] [ 1 1 -1 1 1 2 0 0 0 -1 0 0 1 1 4 0 1 2 0 1 1 0] [ 1 0 -1 1 1 1 -1 2 -1 0 0 -1 0 0 0 4 1 0 -1 -1 -1 1] [ 0 -1 1 2 2 0 0 0 1 -1 0 0 -1 1 1 1 4 1 1 0 0 0] [ 1 1 -1 1 1 2 0 0 0 0 0 1 1 2 2 0 1 4 0 2 0 0] [-1 -1 2 0 1 0 -1 -2 0 -1 1 0 -1 1 0 -1 1 0 4 0 1 -1] [-1 0 0 0 0 1 1 -1 0 1 1 1 0 1 1 -1 0 2 0 4 1 0] [-1 -1 2 2 1 1 -1 0 0 -1 -2 -2 0 1 1 -1 0 0 1 1 6 0] [ 0 1 0 1 0 0 0 1 -1 -1 0 -1 0 0 0 1 0 0 -1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 1001. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 2 2 -1 1 1 1 0 1 1 -2 0 1 1 1 -1 0 2] [ 1 4 -2 -1 2 -1 1 1 0 1 1 0 -1 1 -1 0 -1 0 2 0 0 1] [-1 -2 4 0 0 0 -1 -1 0 -2 0 0 1 0 2 -1 1 0 -2 0 -1 0] [ 1 -1 0 4 -2 2 1 0 0 -1 0 -1 2 1 -2 -1 -1 1 0 -1 1 0] [ 1 2 0 -2 4 0 1 0 0 0 1 0 0 1 1 0 0 -1 0 1 -1 1] [ 2 -1 0 2 0 4 2 -1 0 0 0 0 1 1 -1 -1 0 0 0 0 0 1] [ 2 1 -1 1 1 2 4 -1 1 0 0 -1 1 1 -2 0 0 -1 0 1 -1 1] [-1 1 -1 0 0 -1 -1 4 -2 0 1 -1 0 -1 1 -1 -2 1 0 -1 0 -1] [ 1 0 0 0 0 0 1 -2 4 1 -1 -1 0 0 -1 0 1 -1 0 1 -1 0] [ 1 1 -2 -1 0 0 0 0 1 4 -1 1 -1 -1 -1 1 0 0 1 0 0 1] [ 1 1 0 0 1 0 0 1 -1 -1 4 0 0 0 -1 -1 -1 0 0 -1 1 1] [ 0 0 0 -1 0 0 -1 -1 -1 1 0 4 -2 1 1 0 0 1 0 -1 1 0] [ 1 -1 1 2 0 1 1 0 0 -1 0 -2 4 0 -1 0 0 0 -1 0 0 1] [ 1 1 0 1 1 1 1 -1 0 -1 0 1 0 4 0 -1 0 1 1 -1 0 0] [-2 -1 2 -2 1 -1 -2 1 -1 -1 -1 1 -1 0 6 0 1 0 -2 0 -2 -2] [ 0 0 -1 -1 0 -1 0 -1 0 1 -1 0 0 -1 0 4 2 -1 0 1 0 1] [ 1 -1 1 -1 0 0 0 -2 1 0 -1 0 0 0 1 2 4 0 0 0 -1 1] [ 1 0 0 1 -1 0 -1 1 -1 0 0 1 0 1 0 -1 0 4 1 -2 1 0] [ 1 2 -2 0 0 0 0 0 0 1 0 0 -1 1 -2 0 0 1 4 -1 1 1] [-1 0 0 -1 1 0 1 -1 1 0 -1 -1 0 -1 0 1 0 -2 -1 4 0 0] [ 0 0 -1 1 -1 0 -1 0 -1 0 1 1 0 0 -2 0 -1 1 1 0 4 0] [ 2 1 0 0 1 1 1 -1 0 1 1 0 1 0 -2 1 1 0 1 0 0 4] |Aut| = [ <2, 3>, <3, 1> ] Modular = false LatDB = - 1002. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 0 -1 0 1 2 -1 -2 1 2 -1 1 -2 -1 1 -2 0 0 -2] [-1 4 -1 0 1 0 -1 1 0 2 2 -1 -1 1 1 1 -1 -2 2 1 -1 -1] [ 0 -1 4 -1 -2 0 -1 -1 0 -2 -1 1 0 -2 -2 1 -1 0 -1 -1 1 -1] [-1 0 -1 4 0 2 0 -1 -1 1 1 0 0 2 1 1 2 0 1 1 -1 1] [ 0 1 -2 0 4 -1 0 0 0 0 1 0 1 1 0 0 0 -1 0 1 -1 -1] [-1 0 0 2 -1 4 -1 0 -1 2 1 1 0 1 1 1 1 1 1 -1 0 0] [ 0 -1 -1 0 0 -1 4 0 0 -1 -1 -1 0 0 1 -2 1 1 -1 0 -1 1] [ 1 1 -1 -1 0 0 0 4 0 2 0 -1 1 0 0 0 0 -1 0 1 -1 0] [ 2 0 0 -1 0 -1 0 0 4 -2 -2 0 0 -1 2 -2 -2 0 0 0 0 0] [-1 2 -2 1 0 2 -1 2 -2 6 2 -1 0 1 0 1 2 -1 1 0 -1 1] [-2 2 -1 1 1 1 -1 0 -2 2 4 -1 -1 2 -1 2 1 -1 2 0 -1 0] [ 1 -1 1 0 0 1 -1 -1 0 -1 -1 4 0 0 1 0 0 1 -1 0 1 -2] [ 2 -1 0 0 1 0 0 1 0 0 -1 0 4 0 0 0 0 1 -2 0 -1 -1] [-1 1 -2 2 1 1 0 0 -1 1 2 0 0 4 1 1 1 0 1 1 -1 1] [ 1 1 -2 1 0 1 1 0 2 0 -1 1 0 1 6 -1 -1 1 1 1 0 -1] [-2 1 1 1 0 1 -2 0 -2 1 2 0 0 1 -1 4 0 -1 1 1 0 0] [-1 -1 -1 2 0 1 1 0 -2 2 1 0 0 1 -1 0 4 0 0 0 -1 2] [ 1 -2 0 0 -1 1 1 -1 0 -1 -1 1 1 0 1 -1 0 4 -1 -1 1 0] [-2 2 -1 1 0 1 -1 0 0 1 2 -1 -2 1 1 1 0 -1 4 0 0 1] [ 0 1 -1 1 1 -1 0 1 0 0 0 0 0 1 1 1 0 -1 0 4 0 0] [ 0 -1 1 -1 -1 0 -1 -1 0 -1 -1 1 -1 -1 0 0 -1 1 0 0 4 -1] [-2 -1 -1 1 -1 0 1 0 0 1 0 -2 -1 1 -1 0 2 0 1 0 -1 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1003. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 0 1 -2 1 -1 0 1 2 1 -1 0 2 1 0 1 0 -1 -2] [-2 4 0 1 0 1 1 0 1 0 0 -1 -1 0 1 -1 -1 0 -1 0 1 0] [-2 0 4 -1 -1 -2 2 -1 1 1 -1 0 -1 1 0 -2 1 1 0 -1 1 2] [ 0 1 -1 4 0 -1 1 0 0 0 0 0 1 -2 0 1 -1 0 -1 0 -1 1] [ 0 0 -1 0 4 2 -1 -1 0 0 1 -1 0 0 1 1 1 1 -1 2 0 1] [ 1 1 -2 -1 2 6 -3 0 -1 1 0 1 1 1 2 0 0 0 -1 0 0 -1] [-2 1 2 1 -1 -3 6 1 0 1 1 -2 0 0 -2 0 -1 0 1 0 1 3] [ 1 0 -1 0 -1 0 1 4 -2 0 2 1 0 -1 0 1 0 -2 2 -1 1 -1] [-1 1 1 0 0 -1 0 -2 4 -1 -1 -1 -1 1 0 0 -1 0 -1 0 -1 1] [ 0 0 1 0 0 1 1 0 -1 4 -1 1 1 0 1 -1 1 1 1 -1 0 1] [ 1 0 -1 0 1 0 1 2 -1 -1 4 0 0 0 -1 1 0 -1 1 1 1 -1] [ 2 -1 0 0 -1 1 -2 1 -1 1 0 4 1 -1 1 0 1 0 1 -2 0 -2] [ 1 -1 -1 1 0 1 0 0 -1 1 0 1 4 -1 0 0 0 -1 1 0 0 0] [-1 0 1 -2 0 1 0 -1 1 0 0 -1 -1 4 -1 -1 -1 0 -1 0 0 1] [ 0 1 0 0 1 2 -2 0 0 1 -1 1 0 -1 4 0 1 0 0 0 1 -1] [ 2 -1 -2 1 1 0 0 1 0 -1 1 0 0 -1 0 4 -1 0 0 1 -1 0] [ 1 -1 1 -1 1 0 -1 0 -1 1 0 1 0 -1 1 -1 4 1 1 0 1 0] [ 0 0 1 0 1 0 0 -2 0 1 -1 0 -1 0 0 0 1 4 -1 1 0 1] [ 1 -1 0 -1 -1 -1 1 2 -1 1 1 1 1 -1 0 0 1 -1 4 -1 1 -1] [ 0 0 -1 0 2 0 0 -1 0 -1 1 -2 0 0 0 1 0 1 -1 4 1 0] [-1 1 1 -1 0 0 1 1 -1 0 1 0 0 0 1 -1 1 0 1 1 4 -1] [-2 0 2 1 1 -1 3 -1 1 1 -1 -2 0 1 -1 0 0 1 -1 0 -1 6] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1004. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 -2 2 0 0 1 -2 -1 1 0 0 -1 -1 -1 1 2 -2 1] [ 1 4 0 -2 0 -1 1 1 0 2 -2 0 1 -1 1 -1 -1 -2 -1 1 -1 1] [-1 0 4 2 -2 1 1 -1 1 0 2 1 -2 1 -1 1 0 0 1 -2 0 1] [-2 -2 2 6 0 2 0 0 1 0 3 2 -2 0 -1 2 2 0 2 0 2 0] [ 1 0 -2 0 4 0 0 1 -1 1 0 0 1 -1 1 -1 -1 0 0 1 -1 0] [-2 -1 1 2 0 4 -2 1 1 -1 3 2 -2 0 1 2 1 1 -1 -1 2 -1] [ 2 1 1 0 0 -2 4 0 0 1 -1 -1 1 1 -1 -1 -1 -1 1 0 -1 2] [ 0 1 -1 0 1 1 0 4 -1 0 1 0 0 0 0 0 -1 0 -1 1 2 0] [ 0 0 1 1 -1 1 0 -1 4 -1 1 0 -1 1 1 0 2 -1 1 1 -1 0] [ 1 2 0 0 1 -1 1 0 -1 4 -2 0 1 -2 0 0 -1 -2 0 1 0 0] [-2 -2 2 3 0 3 -1 1 1 -2 6 2 -3 2 -1 1 0 1 0 -2 1 -1] [-1 0 1 2 0 2 -1 0 0 0 2 4 -2 -1 0 2 1 0 0 0 1 0] [ 1 1 -2 -2 1 -2 1 0 -1 1 -3 -2 4 0 1 -2 -1 -1 -1 0 0 1] [ 0 -1 1 0 -1 0 1 0 1 -2 2 -1 0 4 -1 -1 0 0 0 -2 0 0] [ 0 1 -1 -1 1 1 -1 0 1 0 -1 0 1 -1 4 -1 0 -1 -1 1 -1 0] [-1 -1 1 2 -1 2 -1 0 0 0 1 2 -2 -1 -1 4 2 1 0 0 2 0] [-1 -1 0 2 -1 1 -1 -1 2 -1 0 1 -1 0 0 2 4 0 1 1 1 0] [-1 -2 0 0 0 1 -1 0 -1 -2 1 0 -1 0 -1 1 0 4 0 -1 1 0] [ 1 -1 1 2 0 -1 1 -1 1 0 0 0 -1 0 -1 0 1 0 4 1 -1 1] [ 2 1 -2 0 1 -1 0 1 1 1 -2 0 0 -2 1 0 1 -1 1 6 0 0] [-2 -1 0 2 -1 2 -1 2 -1 0 1 1 0 0 -1 2 1 1 -1 0 6 -1] [ 1 1 1 0 0 -1 2 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1005. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -2 1 0 1 -1 1 -2 -2 -1 1 -1 0 0 0 2 1 1 1 0] [ 2 4 -1 0 0 0 0 -1 1 -1 -2 0 0 0 1 1 1 2 0 0 2 1] [ 0 -1 4 1 1 0 1 2 1 1 -1 1 1 0 0 -1 -1 -1 -1 2 1 0] [-2 0 1 6 1 -2 0 2 1 2 0 3 -1 1 1 -2 2 -1 -2 2 2 1] [ 1 0 1 1 4 0 1 1 2 0 -2 0 1 1 1 -1 -1 1 0 0 0 1] [ 0 0 0 -2 0 4 1 0 -1 1 -1 -1 -1 -1 0 1 -2 0 0 -1 -1 -1] [ 1 0 1 0 1 1 4 2 0 0 0 1 0 0 -1 -1 0 -1 -1 0 0 1] [-1 -1 2 2 1 0 2 4 1 2 1 2 0 0 0 -2 0 -2 -2 0 1 0] [ 1 1 1 1 2 -1 0 1 4 0 -2 0 2 1 2 0 0 1 -1 0 2 1] [-2 -1 1 2 0 1 0 2 0 4 1 1 -1 -1 0 -1 0 -1 -1 0 1 -1] [-2 -2 -1 0 -2 -1 0 1 -2 1 6 0 -1 -1 -1 -1 0 -2 -1 0 0 -1] [-1 0 1 3 0 -1 1 2 0 1 0 4 0 0 -1 -2 2 -1 -1 0 0 0] [ 1 0 1 -1 1 -1 0 0 2 -1 -1 0 4 0 1 0 0 0 1 0 0 1] [-1 0 0 1 1 -1 0 0 1 -1 -1 0 0 4 0 1 0 0 -1 -1 0 2] [ 0 1 0 1 1 0 -1 0 2 0 -1 -1 1 0 4 0 -1 0 0 1 1 1] [ 0 1 -1 -2 -1 1 -1 -2 0 -1 -1 -2 0 1 0 4 0 1 0 -1 0 1] [ 0 1 -1 2 -1 -2 0 0 0 0 0 2 0 0 -1 0 4 0 0 0 1 1] [ 2 2 -1 -1 1 0 -1 -2 1 -1 -2 -1 0 0 0 1 0 4 1 0 1 0] [ 1 0 -1 -2 0 0 -1 -2 -1 -1 -1 -1 1 -1 0 0 0 1 4 -1 -2 0] [ 1 0 2 2 0 -1 0 0 0 0 0 0 0 -1 1 -1 0 0 -1 6 3 0] [ 1 2 1 2 0 -1 0 1 2 1 0 0 0 0 1 0 1 1 -2 3 6 0] [ 0 1 0 1 1 -1 1 0 1 -1 -1 0 1 2 1 1 1 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1006. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -1 -2 1 -1 0 -2 -1 -1 2 1 0 0 2 0 1 0 0 0] [-2 4 1 -1 -1 2 1 0 1 2 1 -1 -2 0 -1 1 -1 0 -2 0 1 -1] [ 0 1 4 1 -1 0 2 0 1 0 0 -1 0 0 0 2 0 -1 -1 0 1 0] [ 1 -1 1 4 1 0 -1 1 1 0 -1 -1 0 -1 -1 0 -1 1 0 -1 1 1] [-1 -1 -1 1 4 1 -1 0 -1 1 1 1 -1 0 0 -2 -2 1 0 0 -1 1] [-2 2 0 0 1 4 -1 1 0 2 0 -1 -2 0 -1 0 -2 0 -2 -1 0 -1] [ 1 1 2 -1 -1 -1 6 0 -1 -1 1 0 1 0 1 1 2 -2 0 2 -1 -1] [-1 0 0 1 0 1 0 4 0 0 -1 1 0 -2 1 1 -1 -1 0 -1 0 -1] [ 0 1 1 1 -1 0 -1 0 4 0 -1 -1 0 0 -1 1 0 0 0 0 1 0] [-2 2 0 0 1 2 -1 0 0 4 0 0 -2 -1 0 0 -2 0 -2 0 0 1] [-1 1 0 -1 1 0 1 -1 -1 0 4 1 0 1 -1 -1 0 0 -1 1 1 -1] [-1 -1 -1 -1 1 -1 0 1 -1 0 1 4 0 0 2 -1 0 0 0 0 -1 0] [ 2 -2 0 0 -1 -2 1 0 0 -2 0 0 4 0 1 1 2 -1 1 1 0 0] [ 1 0 0 -1 0 0 0 -2 0 -1 1 0 0 4 0 -1 1 1 0 -1 0 0] [ 0 -1 0 -1 0 -1 1 1 -1 0 -1 2 1 0 4 0 0 -1 1 0 -2 1] [ 0 1 2 0 -2 0 1 1 1 0 -1 -1 1 -1 0 4 1 -1 -1 0 1 0] [ 2 -1 0 -1 -2 -2 2 -1 0 -2 0 0 2 1 0 1 4 -1 1 1 0 0] [ 0 0 -1 1 1 0 -2 -1 0 0 0 0 -1 1 -1 -1 -1 4 0 -1 1 1] [ 1 -2 -1 0 0 -2 0 0 0 -2 -1 0 1 0 1 -1 1 0 4 0 -1 1] [ 0 0 0 -1 0 -1 2 -1 0 0 1 0 1 -1 0 0 1 -1 0 4 0 0] [ 0 1 1 1 -1 0 -1 0 1 0 1 -1 0 0 -2 1 0 1 -1 0 4 -1] [ 0 -1 0 1 1 -1 -1 -1 0 1 -1 0 0 0 1 0 0 1 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1007. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 1 1 2 -1 2 1 0 1 1 2 -1 0 2 0 2 -1 1 0] [-2 4 -2 -2 -1 -2 -1 0 -2 1 1 -2 -2 0 0 0 -1 0 -2 2 -2 0] [ 2 -2 4 2 0 1 1 0 2 -1 0 2 2 1 0 -1 1 -1 2 -2 0 1] [ 2 -2 2 6 0 -1 2 -1 1 -1 -2 1 3 2 -1 -1 0 -2 2 -3 3 0] [ 1 -1 0 0 4 1 2 1 2 -1 -1 0 1 -1 1 -1 -1 2 -1 1 0 1] [ 1 -2 1 -1 1 6 2 2 1 -1 1 0 1 1 2 1 2 1 1 -2 -2 2] [ 2 -1 1 2 2 2 6 2 2 -2 0 0 1 3 1 1 0 -1 1 -2 -1 2] [-1 0 0 -1 1 2 2 4 1 -2 1 0 0 1 2 1 -1 0 -1 0 -2 2] [ 2 -2 2 1 2 1 2 1 4 -1 -1 1 2 0 1 0 0 0 1 0 0 1] [ 1 1 -1 -1 -1 -1 -2 -2 -1 4 1 -1 -2 0 -2 0 1 1 0 1 1 -1] [ 0 1 0 -2 -1 1 0 1 -1 1 4 0 -1 2 -1 0 1 0 0 0 -1 0] [ 1 -2 2 1 0 0 0 0 1 -1 0 4 2 0 -1 -1 1 0 1 0 1 -1] [ 1 -2 2 3 1 1 1 0 2 -2 -1 2 6 1 0 -2 1 0 2 -2 1 0] [ 2 0 1 2 -1 1 3 1 0 0 2 0 1 6 -1 1 2 -2 2 -2 0 1] [-1 0 0 -1 1 2 1 2 1 -2 -1 -1 0 -1 4 1 -1 0 -1 0 -2 2] [ 0 0 -1 -1 -1 1 1 1 0 0 0 -1 -2 1 1 4 1 -1 0 0 -1 1] [ 2 -1 1 0 -1 2 0 -1 0 1 1 1 1 2 -1 1 4 0 2 -1 0 0] [ 0 0 -1 -2 2 1 -1 0 0 1 0 0 0 -2 0 -1 0 4 -1 2 0 0] [ 2 -2 2 2 -1 1 1 -1 1 0 0 1 2 2 -1 0 2 -1 4 -3 1 0] [-1 2 -2 -3 1 -2 -2 0 0 1 0 0 -2 -2 0 0 -1 2 -3 6 0 -1] [ 1 -2 0 3 0 -2 -1 -2 0 1 -1 1 1 0 -2 -1 0 0 1 0 6 -2] [ 0 0 1 0 1 2 2 2 1 -1 0 -1 0 1 2 1 0 0 0 -1 -2 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1008. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 -1 -1 0 -1 1 -1 0 1 2 1 0 -2 0 -2 0 0 -1 0] [ 0 4 -2 -1 2 2 0 2 2 -1 0 1 0 2 0 1 0 1 1 0 -1 1] [ 0 -2 4 -1 -2 0 -1 -1 -2 2 -1 -1 -1 -1 1 1 0 1 1 0 1 -1] [ 2 -1 -1 4 -1 -2 0 -1 0 -2 0 1 1 0 -1 -2 1 -2 -1 0 -1 -1] [-1 2 -2 -1 6 2 0 2 0 -2 0 2 -1 2 -2 2 0 0 0 -1 0 0] [-1 2 0 -2 2 6 -2 2 1 -1 -2 2 1 1 0 0 -2 2 1 -2 -1 0] [ 0 0 -1 0 0 -2 4 1 1 1 2 -1 -1 1 1 -1 0 -1 0 2 0 1] [-1 2 -1 -1 2 2 1 4 1 0 0 1 -1 1 1 0 0 1 0 0 -1 0] [ 1 2 -2 0 0 1 1 1 6 1 -1 2 1 0 1 -1 0 -1 -1 -1 0 0] [-1 -1 2 -2 -2 -1 1 0 1 6 -1 -1 -1 -1 2 2 1 1 1 0 1 -1] [ 0 0 -1 0 0 -2 2 0 -1 -1 4 -1 -1 1 0 -1 -1 -1 0 2 0 1] [ 1 1 -1 1 2 2 -1 1 2 -1 -1 4 1 1 -1 0 0 -1 0 -2 -1 -1] [ 2 0 -1 1 -1 1 -1 -1 1 -1 -1 1 4 0 0 -2 -1 -1 0 -1 -1 1] [ 1 2 -1 0 2 1 1 1 0 -1 1 1 0 4 0 0 -1 0 2 0 -1 1] [ 0 0 1 -1 -2 0 1 1 1 2 0 -1 0 0 4 0 -1 0 1 1 1 1] [-2 1 1 -2 2 0 -1 0 -1 2 -1 0 -2 0 0 6 1 1 2 0 2 0] [ 0 0 0 1 0 -2 0 0 0 1 -1 0 -1 -1 -1 1 4 0 -1 0 0 -1] [-2 1 1 -2 0 2 -1 1 -1 1 -1 -1 -1 0 0 1 0 4 1 0 0 0] [ 0 1 1 -1 0 1 0 0 -1 1 0 0 0 2 1 2 -1 1 4 0 0 1] [ 0 0 0 0 -1 -2 2 0 -1 0 2 -2 -1 0 1 0 0 0 0 4 1 1] [-1 -1 1 -1 0 -1 0 -1 0 1 0 -1 -1 -1 1 2 0 0 0 1 4 0] [ 0 1 -1 -1 0 0 1 0 0 -1 1 -1 1 1 1 0 -1 0 1 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1009. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 1 1 0 2 1 2 -1 -1 0 -1 1 1 -1 1 1 -1 0] [ 1 4 0 -2 2 2 1 0 0 0 -1 -2 0 -1 -1 -1 -1 -2 0 2 1 0] [ 2 0 4 -1 1 0 -1 0 0 1 1 -1 -1 1 0 1 2 0 0 1 -1 1] [-1 -2 -1 4 -2 -1 1 0 -1 -1 1 0 0 1 0 1 0 1 0 -2 -1 1] [ 2 2 1 -2 4 2 1 0 2 1 0 -1 0 -1 0 0 -1 -2 0 2 1 0] [ 1 2 0 -1 2 4 2 -1 0 -1 -1 -1 -1 0 -1 -1 -1 -2 1 1 1 1] [ 1 1 -1 1 1 2 6 -1 -1 1 0 -2 -1 -2 0 0 -2 0 -1 1 2 -1] [ 0 0 0 0 0 -1 -1 4 2 0 0 0 -1 0 -1 2 0 -1 0 0 1 0] [ 2 0 0 -1 2 0 -1 2 6 1 2 1 0 0 -1 1 1 -1 1 0 1 0] [ 1 0 1 -1 1 -1 1 0 1 4 1 -1 1 -1 0 1 0 1 -2 1 0 -1] [ 2 -1 1 1 0 -1 0 0 2 1 4 0 0 0 -1 1 2 1 1 -1 -1 0] [-1 -2 -1 0 -1 -1 -2 0 1 -1 0 4 1 0 0 -1 1 1 1 -2 -1 -1] [-1 0 -1 0 0 -1 -1 -1 0 1 0 1 4 -1 1 -1 0 0 0 0 -1 0] [ 0 -1 1 1 -1 0 -2 0 0 -1 0 0 -1 4 -1 1 1 0 0 -1 -1 2] [-1 -1 0 0 0 -1 0 -1 -1 0 -1 0 1 -1 4 -1 -1 0 0 1 0 0] [ 1 -1 1 1 0 -1 0 2 1 1 1 -1 -1 1 -1 4 1 0 -1 0 0 1] [ 1 -1 2 0 -1 -1 -2 0 1 0 2 1 0 1 -1 1 4 1 1 -1 -1 1] [-1 -2 0 1 -2 -2 0 -1 -1 1 1 1 0 0 0 0 1 4 -1 -1 0 -1] [ 1 0 0 0 0 1 -1 0 1 -2 1 1 0 0 0 -1 1 -1 4 -1 -1 1] [ 1 2 1 -2 2 1 1 0 0 1 -1 -2 0 -1 1 0 -1 -1 -1 4 2 0] [-1 1 -1 -1 1 1 2 1 1 0 -1 -1 -1 -1 0 0 -1 0 -1 2 6 -1] [ 0 0 1 1 0 1 -1 0 0 -1 0 -1 0 2 0 1 1 -1 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1010. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 -1 -1 0 2 -1 2 -1 1 2 2 -1 0 0 1 1 -1 1 0] [-1 4 1 -1 0 1 1 -2 2 -1 1 1 1 1 2 0 1 0 1 -1 0 0] [ 1 1 4 0 1 0 0 1 -1 1 0 2 1 1 -1 0 1 1 0 -2 0 0] [ 2 -1 0 4 0 -2 0 2 0 2 -2 0 0 0 -1 -1 0 -1 -1 0 0 -1] [-1 0 1 0 4 1 -1 0 -1 0 1 0 -1 -1 -2 -1 0 1 -1 -1 -1 1] [-1 1 0 -2 1 4 -1 -1 1 -1 2 0 -1 0 0 1 1 1 0 -1 -1 1] [ 0 1 0 0 -1 -1 4 1 0 1 -1 0 1 1 2 -1 -1 -2 1 1 0 0] [ 2 -2 1 2 0 -1 1 6 -2 1 -2 1 1 0 -1 -1 1 0 -1 -1 1 1] [-1 2 -1 0 -1 1 0 -2 6 1 0 -2 -1 1 1 2 -1 -1 1 2 -2 1] [ 2 -1 1 2 0 -1 1 1 1 6 -2 0 0 2 -1 -1 -1 0 1 2 -2 0] [-1 1 0 -2 1 2 -1 -2 0 -2 4 1 0 -1 0 1 0 1 1 -2 0 1] [ 1 1 2 0 0 0 0 1 -2 0 1 4 2 0 0 -1 2 1 0 -3 1 0] [ 2 1 1 0 -1 -1 1 1 -1 0 0 2 4 2 1 0 1 1 1 -2 2 0] [ 2 1 1 0 -1 0 1 0 1 2 -1 0 2 4 1 0 0 1 2 0 0 0] [-1 2 -1 -1 -2 0 2 -1 1 -1 0 0 1 1 4 0 0 -1 1 0 1 -1] [ 0 0 0 -1 -1 1 -1 -1 2 -1 1 -1 0 0 0 4 0 0 0 0 0 1] [ 0 1 1 0 0 1 -1 1 -1 -1 0 2 1 0 0 0 4 1 -1 -2 1 0] [ 1 0 1 -1 1 1 -2 0 -1 0 1 1 1 1 -1 0 1 4 1 -1 1 1] [ 1 1 0 -1 -1 0 1 -1 1 1 1 0 1 2 1 0 -1 1 4 0 0 1] [-1 -1 -2 0 -1 -1 1 -1 2 2 -2 -3 -2 0 0 0 -2 -1 0 6 -1 0] [ 1 0 0 0 -1 -1 0 1 -2 -2 0 1 2 0 1 0 1 1 0 -1 4 -1] [ 0 0 0 -1 1 1 0 1 1 0 1 0 0 0 -1 1 0 1 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1011. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -2 0 -1 0 0 0 -1 -2 -1 1 0 0 1 2 0 0 1 0] [-2 4 -2 2 2 1 -1 -1 1 0 1 1 -1 -1 1 1 -2 -2 -1 -1 -1 0] [ 2 -2 4 -2 -2 0 0 0 0 -1 -2 -2 -1 0 0 1 1 2 0 -1 0 1] [-2 2 -2 4 2 -1 -1 -1 0 0 1 2 1 0 1 -1 0 -2 0 1 -1 1] [-2 2 -2 2 4 -1 -1 -1 1 1 0 2 1 0 0 -1 -2 -2 -1 1 -1 -1] [ 0 1 0 -1 -1 4 1 1 -1 0 0 -1 0 0 -1 2 0 1 0 -1 -1 -1] [-1 -1 0 -1 -1 1 4 2 -2 0 0 1 0 -1 -2 1 1 0 1 0 -1 -1] [ 0 -1 0 -1 -1 1 2 4 -1 1 0 -1 1 1 -1 1 0 0 2 1 0 0] [ 0 1 0 0 1 -1 -2 -1 4 -1 1 0 -1 -1 2 0 -2 0 0 0 1 1] [ 0 0 -1 0 1 0 0 1 -1 4 0 -1 0 1 0 -1 0 0 -1 1 0 -1] [-1 1 -2 1 0 0 0 0 1 0 4 0 -1 0 0 -1 0 -1 1 0 1 0] [-2 1 -2 2 2 -1 1 -1 0 -1 0 6 0 -1 0 -1 -1 -1 -1 1 0 -1] [-1 -1 -1 1 1 0 0 1 -1 0 -1 0 6 2 -1 -1 1 0 2 1 -1 0] [ 1 -1 0 0 0 0 -1 1 -1 1 0 -1 2 4 -1 -1 1 0 1 1 1 0] [ 0 1 0 1 0 -1 -2 -1 2 0 0 0 -1 -1 4 0 -1 0 -1 0 1 2] [ 0 1 1 -1 -1 2 1 1 0 -1 -1 -1 -1 -1 0 4 0 0 0 -1 -1 1] [ 1 -2 1 0 -2 0 1 0 -2 0 0 -1 1 1 -1 0 4 1 1 0 0 1] [ 2 -2 2 -2 -2 1 0 0 0 0 -1 -1 0 0 0 0 1 4 0 0 1 0] [ 0 -1 0 0 -1 0 1 2 0 -1 1 -1 2 1 -1 0 1 0 4 0 0 1] [ 0 -1 -1 1 1 -1 0 1 0 1 0 1 1 1 0 -1 0 0 0 4 1 0] [ 1 -1 0 -1 -1 -1 -1 0 1 0 1 0 -1 1 1 -1 0 1 0 1 4 0] [ 0 0 1 1 -1 -1 -1 0 1 -1 0 -1 0 0 2 1 1 0 1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1012. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 2 2 -2 -2 -1 1 -2 -2 1 0 1 0 -2 -2 -2 -2 -2 -2] [ 1 4 2 -1 2 0 0 1 1 0 1 -2 0 -1 0 -1 0 -2 -1 -2 1 1] [ 2 2 4 -2 2 0 -1 0 1 0 0 -1 1 0 1 0 -1 -2 -2 -1 -1 -1] [-2 -1 -2 4 0 -1 2 1 0 -1 2 1 0 0 0 -1 0 1 1 0 2 2] [ 2 2 2 0 4 1 -1 -1 1 0 0 -1 0 -1 0 -1 -2 -2 -1 -2 0 0] [ 2 0 0 -1 1 4 -2 -2 0 0 -1 -1 0 1 0 0 -1 0 -1 -2 0 0] [-2 0 -1 2 -1 -2 4 2 0 0 2 0 -1 -1 -1 -1 1 0 1 0 1 1] [-2 1 0 1 -1 -2 2 4 0 0 2 1 0 0 0 0 1 0 0 0 2 2] [-1 1 1 0 1 0 0 0 4 -1 1 1 0 -1 0 0 1 0 0 0 0 0] [ 1 0 0 -1 0 0 0 0 -1 4 0 1 1 -1 0 -1 -1 -1 1 0 -2 -2] [-2 1 0 2 0 -1 2 2 1 0 6 2 0 1 1 0 1 0 1 -1 2 2] [-2 -2 -1 1 -1 -1 0 1 1 1 2 6 1 0 0 2 1 2 2 1 -1 -1] [ 1 0 1 0 0 0 -1 0 0 1 0 1 4 1 2 0 0 -1 0 -1 -1 -2] [ 0 -1 0 0 -1 1 -1 0 -1 -1 1 0 1 4 2 1 0 0 0 0 1 1] [ 1 0 1 0 0 0 -1 0 0 0 1 0 2 2 4 0 0 -1 -1 -1 -1 0] [ 0 -1 0 -1 -1 0 -1 0 0 -1 0 2 0 1 0 4 1 1 0 1 -1 -1] [-2 0 -1 0 -2 -1 1 1 1 -1 1 1 0 0 0 1 4 1 1 1 0 1] [-2 -2 -2 1 -2 0 0 0 0 -1 0 2 -1 0 -1 1 1 4 1 2 1 1] [-2 -1 -2 1 -1 -1 1 0 0 1 1 2 0 0 -1 0 1 1 4 1 0 0] [-2 -2 -1 0 -2 -2 0 0 0 0 -1 1 -1 0 -1 1 1 2 1 6 0 0] [-2 1 -1 2 0 0 1 2 0 -2 2 -1 -1 1 -1 -1 0 1 0 0 6 3] [-2 1 -1 2 0 0 1 2 0 -2 2 -1 -2 1 0 -1 1 1 0 0 3 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1013. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 0 0 -1 -1 2 1 0 1 1 2 -2 0 0 -2 0 0 1 -1] [-2 4 0 0 0 1 -1 -1 0 -1 1 -1 -1 0 1 -1 1 0 1 0 -2 2] [-2 0 4 2 1 1 2 0 -2 0 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 -1] [-2 0 2 4 -1 1 0 0 -1 1 -1 -1 0 -2 1 -1 1 1 0 1 -1 -1] [ 0 0 1 -1 4 0 1 0 -2 -1 -1 1 0 -1 0 1 0 0 -1 -2 2 -1] [ 0 1 1 1 0 4 0 0 1 1 0 0 -1 1 -1 -1 1 -1 -1 0 -1 1] [-1 -1 2 0 1 0 4 2 -1 0 0 1 0 0 1 0 0 0 -1 -1 1 -1] [-1 -1 0 0 0 0 2 6 -2 0 -1 1 1 -2 0 1 -3 1 0 -1 -1 2] [ 2 0 -2 -1 -2 1 -1 -2 6 2 2 0 1 4 -2 0 1 -2 1 1 0 1] [ 1 -1 0 1 -1 1 0 0 2 4 0 -1 1 0 -1 0 0 0 1 1 1 -1] [ 0 1 -1 -1 -1 0 0 -1 2 0 4 -1 0 2 0 0 1 0 1 0 0 1] [ 1 -1 -1 -1 1 0 1 1 0 -1 -1 4 1 0 -1 0 0 -1 -1 -1 -1 -1] [ 1 -1 -1 0 0 -1 0 1 1 1 0 1 4 -1 0 0 0 -1 2 0 0 0] [ 2 0 -1 -2 -1 1 0 -2 4 0 2 0 -1 6 -2 0 1 -2 -1 0 1 1] [-2 1 1 1 0 -1 1 0 -2 -1 0 -1 0 -2 4 -1 0 0 1 1 -1 0] [ 0 -1 -1 -1 1 -1 0 1 0 0 0 0 0 0 -1 4 -1 1 -1 0 2 1] [ 0 1 1 1 0 1 0 -3 1 0 1 0 0 1 0 -1 4 -1 0 0 0 -1] [-2 0 1 1 0 -1 0 1 -2 0 0 -1 -1 -2 0 1 -1 4 0 0 1 0] [ 0 1 -1 0 -1 -1 -1 0 1 1 1 -1 2 -1 1 -1 0 0 4 0 -1 1] [ 0 0 -1 1 -2 0 -1 -1 1 1 0 -1 0 0 1 0 0 0 0 4 0 0] [ 1 -2 1 -1 2 -1 1 -1 0 1 0 -1 0 1 -1 2 0 1 -1 0 6 -2] [-1 2 -1 -1 -1 1 -1 2 1 -1 1 -1 0 1 0 1 -1 0 1 0 -2 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1014. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 1 1 1 1 2 1 2 -1 1 -1 0 0 -2 -1 -1 0 1] [ 1 4 1 -1 0 -1 0 -1 2 0 -1 0 0 -1 -1 -1 -1 0 -1 0 -1 1] [-1 1 4 0 1 -1 -1 -1 0 0 -2 -1 -1 0 -1 0 -2 1 -1 1 -2 -1] [-1 -1 0 4 -1 0 1 0 0 -1 0 -1 2 0 1 2 -1 1 1 -1 -1 -1] [-1 0 1 -1 4 -1 -2 0 0 0 -1 1 -1 0 0 -2 -1 0 -1 0 0 0] [ 1 -1 -1 0 -1 4 0 2 -1 1 1 2 0 2 1 1 2 -1 0 1 0 -1] [ 1 0 -1 1 -2 0 4 -1 0 1 0 0 0 0 1 2 0 0 0 -1 0 0] [ 1 -1 -1 0 0 2 -1 4 -1 0 0 2 0 2 1 -1 1 -2 -1 1 1 -1] [ 1 2 0 0 0 -1 0 -1 4 1 0 1 0 -2 -2 0 -2 -1 -1 0 0 2] [ 2 0 0 -1 0 1 1 0 1 4 1 2 -1 1 -1 1 0 -2 -2 0 0 0] [ 1 -1 -2 0 -1 1 0 0 0 1 4 1 1 0 -1 1 2 0 1 -1 0 1] [ 2 0 -1 -1 1 2 0 2 1 2 1 6 -2 1 0 0 0 -2 -1 1 0 0] [-1 0 -1 2 -1 0 0 0 0 -1 1 -2 4 0 1 1 1 1 1 -1 0 0] [ 1 -1 0 0 0 2 0 2 -2 1 0 1 0 4 1 0 1 -1 -1 0 0 -1] [-1 -1 -1 1 0 1 1 1 -2 -1 -1 0 1 1 4 0 1 0 1 0 1 -2] [ 0 -1 0 2 -2 1 2 -1 0 1 1 0 1 0 0 4 0 1 1 0 -1 -1] [ 0 -1 -2 -1 -1 2 0 1 -2 0 2 0 1 1 1 0 4 0 1 0 1 0] [-2 0 1 1 0 -1 0 -2 -1 -2 0 -2 1 -1 0 1 0 4 2 0 -1 0] [-1 -1 -1 1 -1 0 0 -1 -1 -2 1 -1 1 -1 1 1 1 2 4 -1 0 0] [-1 0 1 -1 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 -1 4 1 -1] [ 0 -1 -2 -1 0 0 0 1 0 0 0 0 0 0 1 -1 1 -1 0 1 4 0] [ 1 1 -1 -1 0 -1 0 -1 2 0 1 0 0 -1 -2 -1 0 0 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1015. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 0 0 -1 1 0 1 1 -2 -2 -1 1 1 -2 0 0 0 -2] [ 2 6 1 1 -1 2 0 -1 2 2 0 3 1 -2 2 0 -1 -1 -1 1 -1 1] [-1 1 6 -3 1 2 -1 -2 -1 0 -3 1 -1 1 0 1 -2 1 1 1 2 -1] [ 2 1 -3 6 -2 -1 2 1 2 0 0 1 -1 -2 0 1 1 -2 -2 1 -1 -1] [ 0 -1 1 -2 4 0 -2 0 -1 -1 -1 0 -1 2 0 0 1 0 0 -2 2 -2] [ 0 2 2 -1 0 4 -1 0 -1 2 -2 1 -1 0 1 1 -1 1 -1 0 0 1] [ 0 0 -1 2 -2 -1 4 1 0 -1 1 -1 1 -1 0 1 0 -1 0 1 -1 0] [-1 -1 -2 1 0 0 1 4 0 -1 1 0 1 1 0 -1 0 1 -1 -1 -1 1] [ 1 2 -1 2 -1 -1 0 0 4 0 0 1 0 -2 1 -1 0 -1 -1 1 0 1] [ 0 2 0 0 -1 2 -1 -1 0 4 0 1 1 -1 1 0 0 0 0 1 -1 1] [ 1 0 -3 0 -1 -2 1 1 0 0 6 0 3 -1 -1 -2 1 -1 2 0 -2 0] [ 1 3 1 1 0 1 -1 0 1 1 0 4 1 0 1 -1 -1 0 -1 0 0 0] [-2 1 -1 -1 -1 -1 1 1 0 1 3 1 6 1 1 -2 -1 1 1 0 -2 2] [-2 -2 1 -2 2 0 -1 1 -2 -1 -1 0 1 4 0 0 -1 2 0 -2 1 0] [-1 2 0 0 0 1 0 0 1 1 -1 1 1 0 4 0 -1 0 -2 0 0 2] [ 1 0 1 1 0 1 1 -1 -1 0 -2 -1 -2 0 0 4 0 -1 0 0 1 -2] [ 1 -1 -2 1 1 -1 0 0 0 0 1 -1 -1 -1 -1 0 4 -1 0 0 0 -2] [-2 -1 1 -2 0 1 -1 1 -1 0 -1 0 1 2 0 -1 -1 4 0 0 0 2] [ 0 -1 1 -2 0 -1 0 -1 -1 0 2 -1 1 0 -2 0 0 0 4 0 0 -1] [ 0 1 1 1 -2 0 1 -1 1 1 0 0 0 -2 0 0 0 0 0 4 0 0] [ 0 -1 2 -1 2 0 -1 -1 0 -1 -2 0 -2 1 0 1 0 0 0 0 4 -2] [-2 1 -1 -1 -2 1 0 1 1 1 0 0 2 0 2 -2 -2 2 -1 0 -2 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1016. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 0 -1 0 -1 1 0 -1 -1 -1 1 -1 -1 1 -1 1 0 0 0] [ 1 4 -1 1 1 -1 -1 1 -1 1 -1 -2 -2 2 1 1 1 1 0 1 1 -1] [ 0 -1 4 -2 -2 1 2 0 0 1 1 2 1 -2 0 0 -2 0 -1 -2 0 0] [-2 1 -2 6 0 -2 0 2 -2 -1 -1 -1 -1 -1 2 -1 1 2 -2 0 1 -1] [ 0 1 -2 0 4 1 -2 1 0 1 0 -1 0 3 0 1 2 -1 1 2 -1 -1] [-1 -1 1 -2 1 4 -1 0 1 0 1 1 1 0 0 2 -1 0 0 0 0 1] [ 0 -1 2 0 -2 -1 4 0 -1 1 1 1 0 -2 -1 -1 0 -1 -1 -2 1 -1] [-1 1 0 2 1 0 0 4 -2 1 1 0 -1 1 2 1 0 0 -1 0 0 -1] [ 1 -1 0 -2 0 1 -1 -2 4 0 -1 0 1 -1 0 0 0 -1 2 0 -1 0] [ 0 1 1 -1 1 0 1 1 0 4 0 0 0 1 0 1 1 -1 1 0 -1 -2] [-1 -1 1 -1 0 1 1 1 -1 0 4 2 1 1 -1 0 -1 -1 0 -1 1 0] [-1 -2 2 -1 -1 1 1 0 0 0 2 4 1 -1 0 0 -2 0 0 -2 0 1] [-1 -2 1 -1 0 1 0 -1 1 0 1 1 4 0 -1 -1 0 0 1 -1 -1 0] [ 1 2 -2 -1 3 0 -2 1 -1 1 1 -1 0 6 -1 1 2 -1 2 2 0 0] [-1 1 0 2 0 0 -1 2 0 0 -1 0 -1 -1 4 1 -1 1 -1 0 0 0] [-1 1 0 -1 1 2 -1 1 0 1 0 0 -1 1 1 4 0 0 0 1 0 1] [ 1 1 -2 1 2 -1 0 0 0 1 -1 -2 0 2 -1 0 4 -1 1 1 0 -1] [-1 1 0 2 -1 0 -1 0 -1 -1 -1 0 0 -1 1 0 -1 4 -1 0 1 1] [ 1 0 -1 -2 1 0 -1 -1 2 1 0 0 1 2 -1 0 1 -1 4 0 -1 0] [ 0 1 -2 0 2 0 -2 0 0 0 -1 -2 -1 2 0 1 1 0 0 4 0 0] [ 0 1 0 1 -1 0 1 0 -1 -1 1 0 -1 0 0 0 0 1 -1 0 4 0] [ 0 -1 0 -1 -1 1 -1 -1 0 -2 0 1 0 0 0 1 -1 1 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1017. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -2 -2 -1 1 2 -2 -1 -2 -1 -1 0 -1 0 2 2 1 -2 -1 1] [ 2 6 1 -1 -3 -2 0 2 1 -2 1 -2 -2 -1 0 -2 1 2 0 0 -1 1] [ 0 1 4 1 -1 -2 -1 1 1 0 1 -1 0 -2 -1 -1 0 -1 -1 -1 0 2] [-2 -1 1 4 1 0 -1 -2 0 0 1 -1 1 -1 0 0 -1 -2 -1 2 0 0] [-2 -3 -1 1 4 2 0 -1 1 2 0 1 2 0 1 1 -2 -2 -1 1 1 -1] [-1 -2 -2 0 2 4 1 0 -1 2 -1 1 1 0 0 1 -1 -1 -1 0 0 -2] [ 1 0 -1 -1 0 1 4 -1 -2 0 -1 1 1 0 -1 -1 -1 0 1 1 0 -1] [ 2 2 1 -2 -1 0 -1 6 1 1 -1 -2 -1 0 -1 -1 1 1 -1 -4 0 2] [-2 1 1 0 1 -1 -2 1 6 1 3 0 0 0 1 -1 0 0 -1 0 2 1] [-1 -2 0 0 2 2 0 1 1 4 0 0 2 0 -1 1 -1 -1 -2 -1 0 0] [-2 1 1 1 0 -1 -1 -1 3 0 4 0 0 -1 0 -1 0 0 0 1 1 0] [-1 -2 -1 -1 1 1 1 -2 0 0 0 4 1 0 0 0 0 0 1 0 0 -2] [-1 -2 0 1 2 1 1 -1 0 2 0 1 4 -1 0 0 -1 -2 0 1 0 0] [ 0 -1 -2 -1 0 0 0 0 0 0 -1 0 -1 4 0 1 0 1 0 0 1 0] [-1 0 -1 0 1 0 -1 -1 1 -1 0 0 0 0 4 0 -1 -1 1 2 0 0] [ 0 -2 -1 0 1 1 -1 -1 -1 1 -1 0 0 1 0 4 1 0 -1 0 0 0] [ 2 1 0 -1 -2 -1 -1 1 0 -1 0 0 -1 0 -1 1 4 2 1 -2 0 1] [ 2 2 -1 -2 -2 -1 0 1 0 -1 0 0 -2 1 -1 0 2 4 1 -1 0 0] [ 1 0 -1 -1 -1 -1 1 -1 -1 -2 0 1 0 0 1 -1 1 1 4 0 0 0] [-2 0 -1 2 1 0 1 -4 0 -1 1 0 1 0 2 0 -2 -1 0 6 1 -1] [-1 -1 0 0 1 0 0 0 2 0 1 0 0 1 0 0 0 0 0 1 4 0] [ 1 1 2 0 -1 -2 -1 2 1 0 0 -2 0 0 0 0 1 0 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1018. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 -1 1 -1 0 1 -1 1 2 2 -1 0 -1 1 0 0 -1 2] [ 1 4 0 2 -2 -2 0 -1 1 2 -1 0 0 1 0 -1 -1 0 1 0 -2 1] [-1 0 4 1 -1 1 0 -1 1 -1 -1 -1 0 -1 0 -1 2 0 -1 -1 1 0] [ 1 2 1 4 -1 -1 -1 0 0 1 0 -1 0 1 0 0 -1 0 -1 -1 -1 1] [-1 -2 -1 -1 4 0 -1 0 -1 0 0 1 -1 0 -1 0 0 1 -1 1 2 0] [-1 -2 1 -1 0 4 1 1 -1 -2 1 -1 0 -2 0 1 0 0 -1 0 2 -1] [ 1 0 0 -1 -1 1 4 0 -1 0 0 0 2 0 -1 0 1 1 1 -1 -1 1] [-1 -1 -1 0 0 1 0 4 -1 -1 1 -2 0 -1 0 2 -1 0 0 0 -1 -1] [ 0 1 1 0 -1 -1 -1 -1 4 0 -1 -1 0 -1 0 -2 1 0 1 1 -1 0] [ 1 2 -1 1 0 -2 0 -1 0 4 -1 1 1 1 0 -1 -1 0 0 1 -2 2] [-1 -1 -1 0 0 1 0 1 -1 -1 4 0 0 0 0 2 -1 0 1 0 1 -1] [ 1 0 -1 -1 1 -1 0 -2 -1 1 0 4 0 2 0 0 0 1 0 1 1 0] [ 2 0 0 0 -1 0 2 0 0 1 0 0 4 0 -1 0 0 1 0 0 -1 2] [ 2 1 -1 1 0 -2 0 -1 -1 1 0 2 0 4 -1 1 -1 0 1 0 0 1] [-1 0 0 0 -1 0 -1 0 0 0 0 0 -1 -1 4 0 0 -1 -1 -1 0 -1] [ 0 -1 -1 0 0 1 0 2 -2 -1 2 0 0 1 0 4 -1 0 0 0 1 0] [-1 -1 2 -1 0 0 1 -1 1 -1 -1 0 0 -1 0 -1 4 0 0 -1 0 0] [ 1 0 0 0 1 0 1 0 0 0 0 1 1 0 -1 0 0 4 0 1 1 1] [ 0 1 -1 -1 -1 -1 1 0 1 0 1 0 0 1 -1 0 0 0 4 0 -1 0] [ 0 0 -1 -1 1 0 -1 0 1 1 0 1 0 0 -1 0 -1 1 0 4 1 0] [-1 -2 1 -1 2 2 -1 -1 -1 -2 1 1 -1 0 0 1 0 1 -1 1 6 -1] [ 2 1 0 1 0 -1 1 -1 0 2 -1 0 2 1 -1 0 0 1 0 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1019. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 0 0 1 2 -2 1 2 0 0 -1 0 2 -1 -2 0 -2 -1 0 0] [ 1 4 1 -1 -1 1 1 0 1 1 0 -1 0 0 2 -1 0 -1 -1 0 0 1] [ 2 1 4 -1 0 0 0 -1 0 2 1 0 -1 -1 2 0 -1 0 -2 0 1 -1] [ 0 -1 -1 4 -1 1 1 -1 1 0 1 -1 -1 -1 1 -1 -1 -1 0 0 1 0] [ 0 -1 0 -1 4 -2 -1 1 1 0 -1 1 -1 2 -1 -1 -1 2 0 1 -1 -1] [ 1 1 0 1 -2 4 0 -1 1 0 0 -1 1 -1 0 0 -1 -2 -1 -2 0 0] [ 2 1 0 1 -1 0 4 -2 1 1 1 0 0 0 2 -1 -1 -1 -1 0 1 1] [-2 0 -1 -1 1 -1 -2 4 -1 -2 -1 -1 1 1 -2 1 1 1 2 0 -1 -1] [ 1 1 0 1 1 1 1 -1 4 1 0 -1 0 1 1 -1 -1 -1 -2 0 0 0] [ 2 1 2 0 0 0 1 -2 1 4 0 0 -1 0 3 -1 0 -1 -2 1 0 0] [ 0 0 1 1 -1 0 1 -1 0 0 4 -1 0 0 1 0 0 0 0 1 1 -1] [ 0 -1 0 -1 1 -1 0 -1 -1 0 -1 4 -1 0 -1 -1 0 1 0 1 1 1] [-1 0 -1 -1 -1 1 0 1 0 -1 0 -1 4 0 -2 2 1 -1 0 -1 0 0] [ 0 0 -1 -1 2 -1 0 1 1 0 0 0 0 4 0 -1 0 1 1 1 -2 0] [ 2 2 2 1 -1 0 2 -2 1 3 1 -1 -2 0 6 -2 -1 -2 -1 1 0 0] [-1 -1 0 -1 -1 0 -1 1 -1 -1 0 -1 2 -1 -2 4 2 0 0 -1 0 0] [-2 0 -1 -1 -1 -1 -1 1 -1 0 0 0 1 0 -1 2 4 0 1 1 0 1] [ 0 -1 0 -1 2 -2 -1 1 -1 -1 0 1 -1 1 -2 0 0 4 1 1 0 0] [-2 -1 -2 0 0 -1 -1 2 -2 -2 0 0 0 1 -1 0 1 1 4 0 -1 0] [-1 0 0 0 1 -2 0 0 0 1 1 1 -1 1 1 -1 1 1 0 4 1 0] [ 0 0 1 1 -1 0 1 -1 0 0 1 1 0 -2 0 0 0 0 -1 1 4 0] [ 0 1 -1 0 -1 0 1 -1 0 0 -1 1 0 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1020. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 -2 0 2 1 2 -2 -1 1 1 1 0 0 -1 -2 -2 0 0 0] [-2 4 -2 1 1 0 -1 1 -2 1 1 0 -1 -1 0 0 1 2 0 0 1 1] [ 2 -2 4 -1 -2 1 1 0 2 -2 -1 0 0 1 -1 1 -2 -2 -1 0 1 0] [ 1 1 -1 6 2 1 -1 1 -1 1 -1 -1 1 1 2 -2 1 1 0 1 2 2] [-2 1 -2 2 6 2 -1 1 -2 1 1 -1 -1 -1 1 -1 2 2 1 -1 -1 2] [ 0 0 1 1 2 4 -1 1 0 -1 0 -1 0 -1 1 1 -1 0 0 -1 0 2] [ 2 -1 1 -1 -1 -1 4 1 2 -2 -1 2 0 1 0 1 -1 -2 -2 0 0 0] [ 1 1 0 1 1 1 1 4 0 -1 0 1 -1 -1 0 0 1 0 -1 0 -1 1] [ 2 -2 2 -1 -2 0 2 0 4 -2 -2 0 0 1 0 1 -2 -2 -2 0 0 0] [-2 1 -2 1 1 -1 -2 -1 -2 4 1 0 0 -1 1 -1 1 1 2 0 1 0] [-1 1 -1 -1 1 0 -1 0 -2 1 4 0 0 -2 0 1 1 1 1 0 0 0] [ 1 0 0 -1 -1 -1 2 1 0 0 0 4 -1 0 -1 0 0 -1 -1 -1 -1 -1] [ 1 -1 0 1 -1 0 0 -1 0 0 0 -1 4 1 1 0 0 0 1 0 1 0] [ 1 -1 1 1 -1 -1 1 -1 1 -1 -2 0 1 4 0 -1 0 -1 0 1 1 0] [ 0 0 -1 2 1 1 0 0 0 1 0 -1 1 0 4 0 -1 -1 1 1 1 2] [ 0 0 1 -2 -1 1 1 0 1 -1 1 0 0 -1 0 4 -1 -1 -1 0 1 1] [-1 1 -2 1 2 -1 -1 1 -2 1 1 0 0 0 -1 -1 4 2 1 0 -1 0] [-2 2 -2 1 2 0 -2 0 -2 1 1 -1 0 -1 -1 -1 2 4 1 0 0 0] [-2 0 -1 0 1 0 -2 -1 -2 2 1 -1 1 0 1 -1 1 1 4 0 0 0] [ 0 0 0 1 -1 -1 0 0 0 0 0 -1 0 1 1 0 0 0 0 4 2 0] [ 0 1 1 2 -1 0 0 -1 0 1 0 -1 1 1 1 1 -1 0 0 2 6 1] [ 0 1 0 2 2 2 0 1 0 0 0 -1 0 0 2 1 0 0 0 0 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1021. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -2 1 2 -2 0 -1 -1 -2 1 -1 1 1 2 -1 2 2 0 1 2 0] [ 0 6 0 3 0 0 3 3 0 0 3 -2 3 -1 -3 -3 0 -3 2 -3 -2 -2] [-2 0 6 -3 -1 1 1 0 2 1 -1 1 -1 -2 0 0 -1 -2 -1 0 -3 1] [ 1 3 -3 6 -1 1 1 0 -1 1 2 -2 2 1 -3 -3 -1 1 2 -3 0 -2] [ 2 0 -1 -1 4 -2 -1 1 0 -2 0 -1 0 0 2 1 1 0 -1 2 1 0] [-2 0 1 1 -2 4 0 -1 1 2 -1 0 0 0 -2 -1 -2 0 1 -2 -1 0] [ 0 3 1 1 -1 0 4 2 0 0 1 0 1 0 -1 -1 0 -2 1 -2 -1 0] [-1 3 0 0 1 -1 2 6 1 -1 1 -1 1 -1 0 0 1 -4 1 0 0 -1] [-1 0 2 -1 0 1 0 1 4 0 0 -1 -1 -2 0 1 -1 -1 1 -1 -2 -1] [-2 0 1 1 -2 2 0 -1 0 4 0 1 -1 -1 -2 0 -2 0 0 -2 -1 0] [ 1 3 -1 2 0 -1 1 1 0 0 4 -2 2 -1 -1 -1 1 -1 2 -1 0 -1] [-1 -2 1 -2 -1 0 0 -1 -1 1 -2 4 -1 1 1 1 0 1 -2 1 0 2] [ 1 3 -1 2 0 0 1 1 -1 -1 2 -1 4 1 -1 -3 1 -1 1 -1 0 -1] [ 1 -1 -2 1 0 0 0 -1 -2 -1 -1 1 1 4 0 0 0 1 0 1 2 1] [ 2 -3 0 -3 2 -2 -1 0 0 -2 -1 1 -1 0 6 2 2 2 -2 3 3 2] [-1 -3 0 -3 1 -1 -1 0 1 0 -1 1 -3 0 2 6 0 0 -1 2 1 2] [ 2 0 -1 -1 1 -2 0 1 -1 -2 1 0 1 0 2 0 4 0 0 2 2 1] [ 2 -3 -2 1 0 0 -2 -4 -1 0 -1 1 -1 1 2 0 0 6 -1 1 2 1] [ 0 2 -1 2 -1 1 1 1 1 0 2 -2 1 0 -2 -1 0 -1 4 -2 0 -1] [ 1 -3 0 -3 2 -2 -2 0 -1 -2 -1 1 -1 1 3 2 2 1 -2 6 3 2] [ 2 -2 -3 0 1 -1 -1 0 -2 -1 0 0 0 2 3 1 2 2 0 3 6 1] [ 0 -2 1 -2 0 0 0 -1 -1 0 -1 2 -1 1 2 2 1 1 -1 2 1 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1022. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -1 2 1 1 2 0 0 0 1 1 -1 -2 -2 -1 0 0 -2 0 1] [-1 4 -2 2 -2 -2 1 0 0 -1 0 -2 1 -1 -1 0 1 -1 -1 0 0 -2] [ 2 -2 4 -2 2 2 0 0 0 0 1 2 0 1 0 -1 0 1 1 -1 1 1] [-1 2 -2 4 -2 0 -1 0 1 0 -1 -2 0 -1 0 1 1 0 0 1 1 -1] [ 2 -2 2 -2 4 1 1 0 -1 0 0 2 0 1 0 -1 -1 1 1 -1 0 1] [ 1 -2 2 0 1 4 -2 1 0 1 -1 0 0 0 1 -1 0 1 2 -1 0 0] [ 1 1 0 -1 1 -2 6 -1 0 -2 1 1 2 -1 -1 0 -2 -2 0 -2 -2 1] [ 2 0 0 0 0 1 -1 6 -2 0 -1 -1 1 -2 0 -2 -2 1 -1 0 -2 -1] [ 0 0 0 1 -1 0 0 -2 4 1 1 0 -1 0 0 0 1 0 1 -1 2 0] [ 0 -1 0 0 0 1 -2 0 1 4 -1 0 -2 0 1 -1 0 1 0 0 2 0] [ 0 0 1 -1 0 -1 1 -1 1 -1 4 0 1 0 0 0 1 0 -1 1 0 0] [ 1 -2 2 -2 2 0 1 -1 0 0 0 4 -1 2 0 0 -1 1 0 0 1 2] [ 1 1 0 0 0 0 2 1 -1 -2 1 -1 4 -2 -1 0 0 -2 0 0 -2 0] [-1 -1 1 -1 1 0 -1 -2 0 0 0 2 -2 4 0 0 1 2 0 0 2 1] [-2 -1 0 0 0 1 -1 0 0 1 0 0 -1 0 4 1 -1 1 1 1 0 -1] [-2 0 -1 1 -1 -1 0 -2 0 -1 0 0 0 0 1 4 1 -1 0 2 0 1] [-1 1 0 1 -1 0 -2 -2 1 0 1 -1 0 1 -1 1 4 0 0 1 2 0] [ 0 -1 1 0 1 1 -2 1 0 1 0 1 -2 2 1 -1 0 4 0 1 2 0] [ 0 -1 1 0 1 2 0 -1 1 0 -1 0 0 0 1 0 0 0 4 -2 0 0] [-2 0 -1 1 -1 -1 -2 0 -1 0 1 0 0 0 1 2 1 1 -2 6 1 0] [ 0 0 1 1 0 0 -2 -2 2 2 0 1 -2 2 0 0 2 2 0 1 6 0] [ 1 -2 1 -1 1 0 1 -1 0 0 0 2 0 1 -1 1 0 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1023. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -2 -1 0 0 -2 1 0 -1 2 0 -1 0 2 2 0 0 -1 1] [ 2 4 -2 -1 -2 -2 -1 0 -1 -1 -1 1 2 1 -1 1 1 2 -1 0 -1 1] [-2 -2 4 -1 2 0 0 -1 1 1 1 0 -1 1 1 0 -2 -2 0 -1 1 0] [ 0 -1 -1 4 -1 0 2 0 -1 1 0 -1 1 0 1 -1 0 -1 1 0 0 -2] [-2 -2 2 -1 4 2 -1 1 1 1 1 0 -1 0 1 1 -2 -2 -1 1 0 0] [-1 -2 0 0 2 4 -1 1 0 1 0 0 -2 -2 0 0 0 -1 0 1 0 -1] [ 0 -1 0 2 -1 -1 4 0 -1 1 1 -2 0 1 0 -2 0 0 2 0 0 0] [ 0 0 -1 0 1 1 0 4 1 0 1 0 1 0 0 0 1 0 -1 2 0 1] [-2 -1 1 -1 1 0 -1 1 6 -3 0 2 -2 -1 -1 -1 -1 -1 0 -1 0 0] [ 1 -1 1 1 1 1 1 0 -3 6 2 -2 2 1 0 1 -1 -1 1 1 1 0] [ 0 -1 1 0 1 0 1 1 0 2 4 -2 1 1 0 0 0 0 1 0 1 1] [-1 1 0 -1 0 0 -2 0 2 -2 -2 4 0 -1 -1 0 0 0 -1 -1 -1 -1] [ 2 2 -1 1 -1 -2 0 1 -2 2 1 0 6 1 1 1 1 0 0 1 0 1] [ 0 1 1 0 0 -2 1 0 -1 1 1 -1 1 4 0 1 -1 0 -1 0 1 1] [-1 -1 1 1 1 0 0 0 -1 0 0 -1 1 0 4 0 -1 -2 0 1 0 0] [ 0 1 0 -1 1 0 -2 0 -1 1 0 0 1 1 0 4 0 0 -2 1 1 1] [ 2 1 -2 0 -2 0 0 1 -1 -1 0 0 1 -1 -1 0 4 2 0 0 0 1] [ 2 2 -2 -1 -2 -1 0 0 -1 -1 0 0 0 0 -2 0 2 4 0 0 0 1] [ 0 -1 0 1 -1 0 2 -1 0 1 1 -1 0 -1 0 -2 0 0 4 -1 0 0] [ 0 0 -1 0 1 1 0 2 -1 1 0 -1 1 0 1 1 0 0 -1 4 1 1] [-1 -1 1 0 0 0 0 0 0 1 1 -1 0 1 0 1 0 0 0 1 4 0] [ 1 1 0 -2 0 -1 0 1 0 0 1 -1 1 1 0 1 1 1 0 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1024. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 -1 1 -1 -1 -1 -1 0 1 1 0 -1 1 -1 1 0 -1 2] [ 2 4 0 2 1 -1 -1 0 -1 0 -1 0 1 -1 -1 0 2 0 0 1 0 1] [ 2 0 4 -1 -1 -1 2 0 -1 0 1 -1 1 2 -1 -1 0 0 1 -1 0 0] [ 1 2 -1 4 0 1 -1 0 1 -1 0 1 0 -1 0 -1 1 1 -1 1 -1 1] [ 0 1 -1 0 4 0 0 -1 0 1 -1 1 1 0 -1 -1 -1 0 1 2 1 0] [-1 -1 -1 1 0 4 1 -1 2 -1 1 0 -1 0 0 0 0 0 0 0 -1 -1] [ 1 -1 2 -1 0 1 4 -1 0 0 0 0 1 2 -1 0 -1 0 2 -1 0 0] [-1 0 0 0 -1 -1 -1 4 1 1 1 -1 1 0 -1 0 1 0 -1 -1 1 0] [-1 -1 -1 1 0 2 0 1 4 -1 1 0 0 1 0 0 0 0 -1 0 -1 -1] [-1 0 0 -1 1 -1 0 1 -1 4 -1 0 1 0 -1 0 0 1 1 1 1 0] [-1 -1 1 0 -1 1 0 1 1 -1 4 0 0 0 -1 -1 0 1 -1 0 1 -2] [ 0 0 -1 1 1 0 0 -1 0 0 0 4 -1 0 1 0 -2 2 -1 1 0 0] [ 1 1 1 0 1 -1 1 1 0 1 0 -1 4 0 -1 -1 1 -1 2 1 1 1] [ 1 -1 2 -1 0 0 2 0 1 0 0 0 0 4 -1 0 -1 0 0 -1 0 0] [ 0 -1 -1 0 -1 0 -1 -1 0 -1 -1 1 -1 -1 4 0 -1 -1 0 0 -2 1] [-1 0 -1 -1 -1 0 0 0 0 0 -1 0 -1 0 0 4 1 0 -1 -1 0 0] [ 1 2 0 1 -1 0 -1 1 0 0 0 -2 1 -1 -1 1 4 -1 0 0 0 1] [-1 0 0 1 0 0 0 0 0 1 1 2 -1 0 -1 0 -1 4 -1 1 1 -1] [ 1 0 1 -1 1 0 2 -1 -1 1 -1 -1 2 0 0 -1 0 -1 4 0 0 1] [ 0 1 -1 1 2 0 -1 -1 0 1 0 1 1 -1 0 -1 0 1 0 4 1 0] [-1 0 0 -1 1 -1 0 1 -1 1 1 0 1 0 -2 0 0 1 0 1 4 -1] [ 2 1 0 1 0 -1 0 0 -1 0 -2 0 1 0 1 0 1 -1 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1025. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 2 -2 1 -1 -1 1 0 -2 0 0 0 -1 1 -1 0 -1 1 1] [ 2 4 2 1 2 0 -1 -2 1 1 -1 0 0 -1 0 0 0 -2 -1 1 0 0] [ 2 2 4 0 2 0 -1 0 -1 0 0 0 0 -1 -1 -1 1 -2 1 1 1 1] [ 2 1 0 4 1 0 1 0 1 0 -1 -1 0 -1 1 1 -1 -1 0 -2 1 0] [ 2 2 2 1 4 -1 0 0 0 0 -1 -1 -1 0 1 -1 1 -2 0 0 0 1] [-2 0 0 0 -1 4 -2 0 2 0 0 1 0 -2 0 2 -2 -1 0 0 0 0] [ 1 -1 -1 1 0 -2 4 0 -2 0 -1 -1 1 0 0 -1 1 1 1 0 0 0] [-1 -2 0 0 0 0 0 4 0 -1 1 1 0 0 0 0 0 0 2 -1 0 1] [-1 1 -1 1 0 2 -2 0 6 0 0 0 -1 -1 0 2 -1 -1 -2 -2 -1 1] [ 1 1 0 0 0 0 0 -1 0 4 0 -2 -1 0 1 -1 -1 0 0 -1 -1 1] [ 0 -1 0 -1 -1 0 -1 1 0 0 4 -1 1 1 0 0 0 1 0 -1 1 0] [-2 0 0 -1 -1 1 -1 1 0 -2 -1 6 1 -1 0 0 1 -1 0 1 1 -1] [ 0 0 0 0 -1 0 1 0 -1 -1 1 1 4 0 -1 0 1 1 1 0 1 -1] [ 0 -1 -1 -1 0 -2 0 0 -1 0 1 -1 0 4 1 -1 1 1 0 0 0 0] [ 0 0 -1 1 1 0 0 0 0 1 0 0 -1 1 4 -1 -1 -1 0 -1 0 0] [-1 0 -1 1 -1 2 -1 0 2 -1 0 0 0 -1 -1 4 -1 0 -1 0 0 0] [ 1 0 1 -1 1 -2 1 0 -1 -1 0 1 1 1 -1 -1 4 0 0 0 1 1] [-1 -2 -2 -1 -2 -1 1 0 -1 0 1 -1 1 1 -1 0 0 4 0 0 0 -1] [ 0 -1 1 0 0 0 1 2 -2 0 0 0 1 0 0 -1 0 0 4 0 0 1] [-1 1 1 -2 0 0 0 -1 -2 -1 -1 1 0 0 -1 0 0 0 0 6 0 -1] [ 1 0 1 1 0 0 0 0 -1 -1 1 1 1 0 0 0 1 0 0 0 4 -1] [ 1 0 1 0 1 0 0 1 1 1 0 -1 -1 0 0 0 1 -1 1 -1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1026. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 -2 -1 2 -2 0 1 1 0 -1 -2 -1 0 -2 -1 0 0 -2 1] [-1 4 -2 1 2 -1 0 -1 1 1 1 0 0 1 1 -1 2 2 0 0 2 1] [ 1 -2 4 -1 -1 0 0 -1 1 0 1 0 0 -1 -2 0 -1 -2 0 0 -1 0] [ 2 1 -1 4 -1 -1 2 -1 -1 1 1 1 0 0 1 -1 -1 0 -1 0 0 0] [-2 2 -1 -1 6 -2 0 2 2 2 -2 0 -1 2 0 1 1 1 2 2 0 1] [-1 -1 0 -1 -2 4 -2 1 -1 -2 1 1 2 0 1 1 0 0 0 0 0 -1] [ 2 0 0 2 0 -2 4 0 0 1 0 -1 0 0 -1 0 -1 0 -1 0 0 1] [-2 -1 -1 -1 2 1 0 6 -1 -1 -3 0 1 2 1 1 1 1 1 1 -1 0] [ 0 1 1 -1 2 -1 0 -1 4 1 1 -1 -1 0 -1 0 0 -1 1 0 -1 0] [ 1 1 0 1 2 -2 1 -1 1 4 -1 1 -1 1 -1 1 0 0 0 0 0 1] [ 1 1 1 1 -2 1 0 -3 1 -1 6 -1 1 -1 0 -1 0 0 0 -1 1 0] [ 0 0 0 1 0 1 -1 0 -1 1 -1 4 1 0 0 0 0 0 0 0 -1 -1] [-1 0 0 0 -1 2 0 1 -1 -1 1 1 4 0 1 0 1 0 0 0 1 0] [-2 1 -1 0 2 0 0 2 0 1 -1 0 0 4 0 1 1 1 -1 0 2 0] [-1 1 -2 1 0 1 -1 1 -1 -1 0 0 1 0 4 -1 0 0 1 1 0 0] [ 0 -1 0 -1 1 1 0 1 0 1 -1 0 0 1 -1 4 0 0 0 1 0 1] [-2 2 -1 -1 1 0 -1 1 0 0 0 0 1 1 0 0 4 2 0 -1 2 1] [-1 2 -2 0 1 0 0 1 -1 0 0 0 0 1 0 0 2 4 0 0 2 1] [ 0 0 0 -1 2 0 -1 1 1 0 0 0 0 -1 1 0 0 0 4 1 -2 1] [ 0 0 0 0 2 0 0 1 0 0 -1 0 0 0 1 1 -1 0 1 4 0 1] [-2 2 -1 0 0 0 0 -1 -1 0 1 -1 1 2 0 0 2 2 -2 0 6 0] [ 1 1 0 0 1 -1 1 0 0 1 0 -1 0 0 0 1 1 1 1 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1027. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 2 -1 -2 0 1 -1 -1 -1 0 1 -1 -1 0 1 -1 0 1] [ 0 4 0 0 -2 0 1 1 0 1 2 -2 0 0 -2 1 -2 0 -1 1 0 -1] [ 0 0 4 -2 -1 -2 0 1 0 -1 -1 1 1 -1 -1 1 -1 1 -1 1 -1 1] [ 0 0 -2 4 1 0 1 0 -1 0 1 -1 0 1 0 -1 0 0 1 -1 1 0] [ 1 -2 -1 1 4 2 -1 -2 -1 1 -2 1 -1 1 1 0 1 1 0 -2 0 0] [ 2 0 -2 0 2 6 0 -3 -1 2 -1 -2 -3 2 2 0 0 0 0 -2 1 -2] [-1 1 0 1 -1 0 4 2 0 0 1 -2 1 0 -1 -1 0 -1 0 -1 0 -1] [-2 1 1 0 -2 -3 2 6 2 -1 1 0 2 -2 -3 -1 -1 -2 -1 2 -2 -1] [ 0 0 0 -1 -1 -1 0 2 4 -1 0 0 1 -2 0 -1 1 -1 -1 2 -2 0] [ 1 1 -1 0 1 2 0 -1 -1 4 -1 -1 0 0 0 0 0 0 -1 0 0 -1] [-1 2 -1 1 -2 -1 1 1 0 -1 4 -1 0 1 -1 0 -1 0 0 1 1 0] [-1 -2 1 -1 1 -2 -2 0 0 -1 -1 4 1 0 0 1 1 1 0 1 -1 1] [-1 0 1 0 -1 -3 1 2 1 0 0 1 4 -2 -1 0 1 -1 0 2 -1 1] [ 0 0 -1 1 1 2 0 -2 -2 0 1 0 -2 4 0 0 0 2 0 -2 2 0] [ 1 -2 -1 0 1 2 -1 -3 0 0 -1 0 -1 0 4 0 1 0 1 -1 1 0] [-1 1 1 -1 0 0 -1 -1 -1 0 0 1 0 0 0 4 0 1 -1 1 0 0] [-1 -2 -1 0 1 0 0 -1 1 0 -1 1 1 0 1 0 4 0 0 0 0 1] [ 0 0 1 0 1 0 -1 -2 -1 0 0 1 -1 2 0 1 0 4 -1 0 1 1] [ 1 -1 -1 1 0 0 0 -1 -1 -1 0 0 0 0 1 -1 0 -1 4 -2 1 1] [-1 1 1 -1 -2 -2 -1 2 2 0 1 1 2 -2 -1 1 0 0 -2 6 -1 0] [ 0 0 -1 1 0 1 0 -2 -2 0 1 -1 -1 2 1 0 0 1 1 -1 4 0] [ 1 -1 1 0 0 -2 -1 -1 0 -1 0 1 1 0 0 0 1 1 1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1028. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -1 1 -1 1 1 1 -1 0 -1 -1 -1 0 -1 1 1 -1 1] [ 1 4 -1 0 0 0 0 -2 -1 1 0 0 1 0 -2 -1 -1 -2 0 0 -1 0] [-1 -1 4 -1 1 -1 1 0 0 -1 1 -1 1 -1 0 1 -1 0 -2 1 1 1] [-1 0 -1 4 -2 -1 -2 0 -1 -1 -1 2 -1 1 0 1 -1 0 1 -2 0 -1] [ 1 0 1 -2 4 1 2 0 1 -1 0 -1 0 0 -1 -1 -1 -1 0 2 1 0] [-1 0 -1 -1 1 4 1 0 1 -1 0 0 0 1 0 0 1 1 1 0 0 0] [ 1 0 1 -2 2 1 4 -1 2 -1 0 -1 0 0 0 0 1 1 0 2 1 2] [-1 -2 0 0 0 0 -1 4 1 -1 -1 0 0 -1 2 -1 0 1 0 0 1 0] [ 1 -1 0 -1 1 1 2 1 4 -1 0 0 -1 0 0 -1 1 1 1 1 1 1] [ 1 1 -1 -1 -1 -1 -1 -1 -1 4 0 0 0 0 -1 -1 1 -1 -1 0 -2 -1] [ 1 0 1 -1 0 0 0 -1 0 0 4 -1 1 -1 -1 0 -1 -1 -1 0 -1 1] [-1 0 -1 2 -1 0 -1 0 0 0 -1 4 0 0 0 1 0 0 1 0 -1 -1] [ 0 1 1 -1 0 0 0 0 -1 0 1 0 4 -1 0 0 0 0 0 0 -1 1] [-1 0 -1 1 0 1 0 -1 0 0 -1 0 -1 4 -1 0 1 0 1 -1 1 -1] [-1 -2 0 0 -1 0 0 2 0 -1 -1 0 0 -1 4 1 1 2 0 0 1 1] [-1 -1 1 1 -1 0 0 -1 -1 -1 0 1 0 0 1 4 1 1 0 0 0 1] [ 0 -1 -1 -1 -1 1 1 0 1 1 -1 0 0 1 1 1 4 2 1 0 0 1] [-1 -2 0 0 -1 1 1 1 1 -1 -1 0 0 0 2 1 2 4 1 0 1 1] [ 1 0 -2 1 0 1 0 0 1 -1 -1 1 0 1 0 0 1 1 4 -1 0 0] [ 1 0 1 -2 2 0 2 0 1 0 0 0 0 -1 0 0 0 0 -1 4 1 1] [-1 -1 1 0 1 0 1 1 1 -2 -1 -1 -1 1 1 0 0 1 0 1 4 0] [ 1 0 1 -1 0 0 2 0 1 -1 1 -1 1 -1 1 1 1 1 0 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1029. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -1 0 1 2 -1 1 2 -1 1 1 1 0 -2 0 -2 -2 0 1 -1] [ 0 4 -1 -2 -2 -2 0 -1 -1 -1 -2 1 1 0 1 -1 -2 -1 -2 1 0 1] [ 0 -1 6 -2 3 -2 0 -2 2 1 1 2 0 -2 -2 3 -2 3 -2 2 -1 -3] [-1 -2 -2 6 1 1 -1 3 -2 -2 2 0 -2 0 -1 1 1 0 3 0 -1 1] [ 0 -2 3 1 6 1 1 0 1 1 0 0 -2 -1 -1 3 1 3 0 2 -1 0] [ 1 -2 -2 1 1 6 0 1 0 2 0 -1 0 2 2 0 4 -1 2 0 1 2] [ 2 0 0 -1 1 0 4 0 0 1 -1 -1 0 1 0 -1 1 0 -2 -1 1 -1] [-1 -1 -2 3 0 1 0 4 -2 -1 1 0 -2 0 1 1 1 -1 1 0 -1 0] [ 1 -1 2 -2 1 0 0 -2 4 2 0 -1 0 0 0 0 -1 0 -1 0 0 0] [ 2 -1 1 -2 1 2 1 -1 2 4 0 0 0 0 1 -1 1 -1 -1 0 1 -1] [-1 -2 1 2 0 0 -1 1 0 0 4 0 -1 0 -1 1 0 1 2 -1 0 -1] [ 1 1 2 0 0 -1 -1 0 -1 0 0 6 1 -2 0 1 -3 0 -1 2 -2 -2] [ 1 1 0 -2 -2 0 0 -2 0 0 -1 1 4 0 0 -1 0 -1 0 0 1 0] [ 1 0 -2 0 -1 2 1 0 0 0 0 -2 0 4 0 -2 2 0 0 -2 2 2] [ 0 1 -2 -1 -1 2 0 1 0 1 -1 0 0 0 4 0 0 -2 0 0 0 1] [-2 -1 3 1 3 0 -1 1 0 -1 1 1 -1 -2 0 6 0 2 0 3 -2 0] [ 0 -2 -2 1 1 4 1 1 -1 1 0 -3 0 2 0 0 6 0 2 -1 2 2] [-2 -1 3 0 3 -1 0 -1 0 -1 1 0 -1 0 -2 2 0 6 1 0 0 0] [-2 -2 -2 3 0 2 -2 1 -1 -1 2 -1 0 0 0 0 2 1 6 -2 0 2] [ 0 1 2 0 2 0 -1 0 0 0 -1 2 0 -2 0 3 -1 0 -2 6 -1 0] [ 1 0 -1 -1 -1 1 1 -1 0 1 0 -2 1 2 0 -2 2 0 0 -1 4 0] [-1 1 -3 1 0 2 -1 0 0 -1 -1 -2 0 2 1 0 2 0 2 0 0 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1030. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 0 0 1 2 -1 2 0 1 1 0 0 0 1 -2 0 -2 1 1] [ 2 4 2 2 1 -1 0 2 -1 2 0 -1 0 1 1 0 1 -2 0 -1 -1 0] [ 2 2 4 2 0 0 0 0 -1 2 0 -1 1 -1 1 1 1 -2 1 -1 -1 0] [ 2 2 2 4 0 1 0 0 -1 2 -1 0 1 -1 1 0 1 -2 0 -1 0 1] [ 0 1 0 0 4 0 -1 0 1 0 1 -2 -2 0 1 -1 -1 -1 1 -1 -2 -1] [ 0 -1 0 1 0 4 -1 0 -1 1 1 0 1 -2 -1 0 1 0 0 -1 0 0] [ 1 0 0 0 -1 -1 4 0 1 0 1 2 0 1 -1 -1 -1 -1 1 0 2 1] [ 2 2 0 0 0 0 0 6 0 1 1 -1 0 2 -1 -1 0 0 0 0 -1 1] [-1 -1 -1 -1 1 -1 1 0 4 -1 1 -1 -2 1 -1 -2 -1 0 2 1 -1 1] [ 2 2 2 2 0 1 0 1 -1 4 1 -1 1 0 0 1 1 -2 1 -1 -1 0] [ 0 0 0 -1 1 1 1 1 1 1 4 -1 0 1 -1 0 -1 -1 2 0 -1 -1] [ 1 -1 -1 0 -2 0 2 -1 -1 -1 -1 6 0 0 -2 0 1 1 -1 0 3 0] [ 1 0 1 1 -2 1 0 0 -2 1 0 0 4 -1 1 1 1 0 -1 0 2 1] [ 0 1 -1 -1 0 -2 1 2 1 0 1 0 -1 4 -1 0 -1 0 0 1 0 0] [ 0 1 1 1 1 -1 -1 -1 -1 0 -1 -2 1 -1 4 0 -1 -1 0 0 -1 0] [ 0 0 1 0 -1 0 -1 -1 -2 1 0 0 1 0 0 4 1 0 -1 0 0 -1] [ 1 1 1 1 -1 1 -1 0 -1 1 -1 1 1 -1 -1 1 4 0 -1 -1 1 1] [-2 -2 -2 -2 -1 0 -1 0 0 -2 -1 1 0 0 -1 0 0 4 -1 2 1 0] [ 0 0 1 0 1 0 1 0 2 1 2 -1 -1 0 0 -1 -1 -1 4 0 -2 0] [-2 -1 -1 -1 -1 -1 0 0 1 -1 0 0 0 1 0 0 -1 2 0 4 0 0] [ 1 -1 -1 0 -2 0 2 -1 -1 -1 -1 3 2 0 -1 0 1 1 -2 0 6 1] [ 1 0 0 1 -1 0 1 1 1 0 -1 0 1 0 0 -1 1 0 0 0 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1031. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 0 -1 -1 -2 0 -2 -2 -1 0 1 1 0 2 -1 0 1 -1 0] [ 0 4 -1 -1 1 1 2 2 0 2 1 2 -1 -1 1 1 -1 -2 -1 -1 1 -2] [ 1 -1 4 0 -1 1 0 -1 -1 -2 -2 0 0 -1 1 1 0 1 -1 0 1 2] [ 2 -1 0 4 -1 -1 -1 -2 0 -2 -1 -1 1 1 1 -1 2 -1 1 0 0 0] [ 0 1 -1 -1 4 -1 1 1 -1 0 0 1 -1 -1 1 -1 1 -1 1 1 -2 -2] [-1 1 1 -1 -1 4 2 1 -1 2 0 1 1 -2 0 1 -2 -1 -1 0 2 0] [-1 2 0 -1 1 2 4 2 -1 2 0 2 -1 -2 1 1 -1 -2 -1 -1 0 -2] [-2 2 -1 -2 1 1 2 4 -1 3 2 2 -1 -1 0 0 -2 0 0 -1 0 -1] [ 0 0 -1 0 -1 -1 -1 -1 4 1 0 0 0 1 -2 1 0 1 -1 0 0 -1] [-2 2 -2 -2 0 2 2 3 1 6 2 1 -1 0 -2 1 -2 0 -1 -1 1 -1] [-2 1 -2 -1 0 0 0 2 0 2 4 0 -1 1 0 -1 -1 0 1 0 0 -1] [-1 2 0 -1 1 1 2 2 0 1 0 4 -1 -2 1 1 -1 0 -1 -1 1 -1] [ 0 -1 0 1 -1 1 -1 -1 0 -1 -1 -1 4 -1 -1 -1 -1 -1 1 1 0 0] [ 1 -1 -1 1 -1 -2 -2 -1 1 0 1 -2 -1 4 -1 -1 1 1 0 0 0 1] [ 1 1 1 1 1 0 1 0 -2 -2 0 1 -1 -1 4 0 1 -1 1 0 0 -1] [ 0 1 1 -1 -1 1 1 0 1 1 -1 1 -1 -1 0 4 -1 0 -2 -1 2 1] [ 2 -1 0 2 1 -2 -1 -2 0 -2 -1 -1 -1 1 1 -1 4 0 1 1 -1 0] [-1 -2 1 -1 -1 -1 -2 0 1 0 0 0 -1 1 -1 0 0 6 -1 -1 1 3] [ 0 -1 -1 1 1 -1 -1 0 -1 -1 1 -1 1 0 1 -2 1 -1 4 1 -2 -1] [ 1 -1 0 0 1 0 -1 -1 0 -1 0 -1 1 0 0 -1 1 -1 1 4 -1 -1] [-1 1 1 0 -2 2 0 0 0 1 0 1 0 0 0 2 -1 1 -2 -1 6 2] [ 0 -2 2 0 -2 0 -2 -1 -1 -1 -1 -1 0 1 -1 1 0 3 -1 -1 2 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1032. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 -1 0 0 -1 0 2 2 -1 0 -2 2 2 1 2 -1 -1 2 -1] [ 1 4 1 0 -1 1 1 1 1 1 0 1 -1 -1 0 -1 -1 2 0 -1 -1 -2] [ 0 1 4 1 0 1 2 -1 2 -1 -1 2 -1 1 -1 -1 1 -1 -1 1 -2 -2] [ 2 0 1 6 0 -1 2 -1 -1 2 3 1 -2 -1 1 3 3 -1 0 -2 0 -3] [-1 -1 0 0 4 -2 0 -1 1 1 0 0 0 0 1 0 0 0 -1 2 1 1] [ 0 1 1 -1 -2 4 -1 1 0 0 -2 0 0 0 -2 -2 -1 -1 0 0 0 0] [ 0 1 2 2 0 -1 4 0 1 -1 0 2 -1 1 0 1 1 0 0 0 -2 -2] [-1 1 -1 -1 -1 1 0 4 0 -1 -1 0 1 0 -2 0 -1 -1 2 -1 -1 1] [ 0 1 2 -1 1 0 1 0 4 0 -2 0 1 0 0 0 0 0 -1 2 0 -1] [ 2 1 -1 2 1 0 -1 -1 0 6 1 -1 -1 -2 2 0 1 2 0 0 3 -2] [ 2 0 -1 3 0 -2 0 -1 -2 1 6 -1 0 -2 2 2 2 1 -1 -1 0 -1] [-1 1 2 1 0 0 2 0 0 -1 -1 4 -2 2 -1 -1 0 0 0 0 -2 -1] [ 0 -1 -1 -2 0 0 -1 1 1 -1 0 -2 4 -1 0 1 0 -1 0 2 1 2] [-2 -1 1 -1 0 0 1 0 0 -2 -2 2 -1 4 -2 -2 0 0 0 0 -1 1] [ 2 0 -1 1 1 -2 0 -2 0 2 2 -1 0 -2 4 2 0 2 -1 0 2 -1] [ 2 -1 -1 3 0 -2 1 0 0 0 2 -1 1 -2 2 6 2 -1 0 -1 1 0] [ 1 -1 1 3 0 -1 1 -1 0 1 2 0 0 0 0 2 4 -1 0 0 0 -1] [ 2 2 -1 -1 0 -1 0 -1 0 2 1 0 -1 0 2 -1 -1 6 -1 0 2 0] [-1 0 -1 0 -1 0 0 2 -1 0 -1 0 0 0 -1 0 0 -1 4 -2 -1 0] [-1 -1 1 -2 2 0 0 -1 2 0 -1 0 2 0 0 -1 0 0 -2 6 1 1] [ 2 -1 -2 0 1 0 -2 -1 0 3 0 -2 1 -1 2 1 0 2 -1 1 6 1] [-1 -2 -2 -3 1 0 -2 1 -1 -2 -1 -1 2 1 -1 0 -1 0 0 1 1 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1033. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 1 1 0 1 1 1 0 1 1 1 1 -1 0 1 1 1 2] [ 1 4 0 -2 0 2 0 1 0 -1 1 -1 -1 0 0 -1 -1 1 0 1 -1 2] [-1 0 4 2 0 0 1 -1 -2 0 1 -1 -1 1 0 0 -1 1 0 1 -1 0] [-2 -2 2 6 -1 -1 0 0 0 1 1 -1 0 0 -2 2 2 -1 1 0 -2 -3] [ 1 0 0 -1 4 0 2 -1 -1 1 -1 1 0 2 2 0 1 1 -1 0 -1 2] [ 1 2 0 -1 0 4 -1 0 0 1 1 -2 -1 0 1 0 -1 -1 0 2 1 1] [ 1 0 1 0 2 -1 4 0 -1 0 0 0 1 2 1 1 0 2 0 -1 -1 2] [ 0 1 -1 0 -1 0 0 4 0 0 -1 0 -1 0 -1 0 1 0 -1 -1 -1 -1] [ 1 0 -2 0 -1 0 -1 0 4 1 0 0 2 -2 0 1 0 -2 2 0 0 -1] [ 1 -1 0 1 1 1 0 0 1 4 0 0 0 1 1 2 0 -2 1 1 0 0] [ 1 1 1 1 -1 1 0 -1 0 0 4 -2 0 0 -1 1 -1 0 2 1 1 0] [ 0 -1 -1 -1 1 -2 0 0 0 0 -2 4 1 0 1 -1 1 1 -1 0 0 1] [ 1 -1 -1 0 0 -1 1 -1 2 0 0 1 4 -1 1 1 0 0 1 0 0 0] [ 1 0 1 0 2 0 2 0 -2 1 0 0 -1 4 0 1 0 1 -1 0 0 2] [ 1 0 0 -2 2 1 1 -1 0 1 -1 1 1 0 4 -1 -1 0 0 1 0 2] [ 1 -1 0 2 0 0 1 0 1 2 1 -1 1 1 -1 4 1 -1 1 0 0 0] [-1 -1 -1 2 1 -1 0 1 0 0 -1 1 0 0 -1 1 4 0 -1 -1 -1 -1] [ 0 1 1 -1 1 -1 2 0 -2 -2 0 1 0 1 0 -1 0 4 -1 0 0 2] [ 1 0 0 1 -1 0 0 -1 2 1 2 -1 1 -1 0 1 -1 -1 4 0 0 0] [ 1 1 1 0 0 2 -1 -1 0 1 1 0 0 0 1 0 -1 0 0 4 1 1] [ 1 -1 -1 -2 -1 1 -1 -1 0 0 1 0 0 0 0 0 -1 0 0 1 6 0] [ 2 2 0 -3 2 1 2 -1 -1 0 0 1 0 2 2 0 -1 2 0 1 0 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1034. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 1 -1 1 0 0 0 1 -1 1 1 2 0 -1 -1 1 1 -1 -2] [ 1 4 0 -1 0 -1 2 -1 0 1 0 0 2 0 0 0 -1 -1 1 2 0 1] [-2 0 4 0 -2 0 -1 1 0 -1 -2 1 1 0 -1 -1 -1 -1 1 0 0 1] [ 1 -1 0 4 1 1 0 -1 -1 0 1 -1 0 1 2 -1 1 0 0 -1 -1 -2] [ 1 0 -2 1 4 1 0 -1 -1 0 2 -2 0 1 1 1 0 0 -1 -1 -1 0] [-1 -1 0 1 1 4 1 -2 0 0 0 -1 -2 -1 0 -1 1 1 -2 -2 1 0] [ 1 2 -1 0 0 1 6 -1 1 1 1 -1 -1 1 2 -2 0 1 0 -1 2 0] [ 0 -1 1 -1 -1 -2 -1 6 2 -1 -1 -1 0 0 1 0 -1 1 2 0 0 0] [ 0 0 0 -1 -1 0 1 2 4 -1 -1 -1 -1 0 1 -1 1 2 1 1 0 0] [ 0 1 -1 0 0 0 1 -1 -1 4 0 1 0 0 0 -1 1 1 0 1 0 0] [ 1 0 -2 1 2 0 1 -1 -1 0 4 0 0 0 1 1 0 0 0 -2 0 0] [-1 0 1 -1 -2 -1 -1 -1 -1 1 0 4 1 -1 -2 0 0 -1 0 0 0 1] [ 1 2 1 0 0 -2 -1 0 -1 0 0 1 4 1 0 1 -1 -2 1 1 -1 0] [ 1 0 0 1 1 -1 1 0 0 0 0 -1 1 4 2 -1 0 0 1 0 -1 -1] [ 2 0 -1 2 1 0 2 1 1 0 1 -2 0 2 4 -1 0 1 1 -1 0 -2] [ 0 0 -1 -1 1 -1 -2 0 -1 -1 1 0 1 -1 -1 4 0 -1 -1 0 0 1] [-1 -1 -1 1 0 1 0 -1 1 1 0 0 -1 0 0 0 4 2 -1 0 0 0] [-1 -1 -1 0 0 1 1 1 2 1 0 -1 -2 0 1 -1 2 4 0 0 1 0] [ 1 1 1 0 -1 -2 0 2 1 0 0 0 1 1 1 -1 -1 0 4 1 -1 0] [ 1 2 0 -1 -1 -2 -1 0 1 1 -2 0 1 0 -1 0 0 0 1 6 -1 0] [-1 0 0 -1 -1 1 2 0 0 0 0 0 -1 -1 0 0 0 1 -1 -1 4 0] [-2 1 1 -2 0 0 0 0 0 0 0 1 0 -1 -2 1 0 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1035. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 -1 0 1 2 1 2 1 2 -1 -1 -1 0 1 1 1 -2 1] [ 1 4 -1 -2 0 -2 -1 2 1 1 0 2 1 1 1 -1 -1 2 1 0 1 -1] [-1 -1 4 0 0 2 1 -2 0 0 0 -2 -2 -1 1 0 1 -2 -2 1 1 0] [-1 -2 0 4 0 2 1 0 -2 -1 0 -1 -1 1 -1 1 1 0 -1 0 -1 -1] [ 2 0 0 0 4 1 -1 -1 2 0 2 0 2 -1 0 1 0 0 0 2 -1 0] [-1 -2 2 2 1 6 2 -2 -1 -1 1 -1 -1 -2 -1 0 2 -1 -1 2 1 0] [ 0 -1 1 1 -1 2 4 0 0 0 0 0 -1 -1 0 -1 2 0 -1 0 -1 0] [ 1 2 -2 0 -1 -2 0 6 -2 2 1 0 0 1 -1 -1 -1 3 1 0 -2 -1] [ 2 1 0 -2 2 -1 0 -2 6 -1 0 2 3 0 1 1 1 0 1 0 -1 1] [ 1 1 0 -1 0 -1 0 2 -1 4 0 0 0 0 0 0 0 1 1 0 -1 -1] [ 2 0 0 0 2 1 0 1 0 0 4 0 0 -1 -1 -1 -1 0 0 2 -1 0] [ 1 2 -2 -1 0 -1 0 0 2 0 0 4 2 1 0 0 0 1 2 -1 0 0] [ 2 1 -2 -1 2 -1 -1 0 3 0 0 2 4 0 0 1 0 1 2 0 -1 1] [-1 1 -1 1 -1 -2 -1 1 0 0 -1 1 0 4 1 1 -1 1 1 -2 0 -1] [-1 1 1 -1 0 -1 0 -1 1 0 -1 0 0 1 4 1 -1 -1 0 0 2 0] [-1 -1 0 1 1 0 -1 -1 1 0 -1 0 1 1 1 4 0 -1 1 0 0 0] [ 0 -1 1 1 0 2 2 -1 1 0 -1 0 0 -1 -1 0 4 0 -1 0 -1 0] [ 1 2 -2 0 0 -1 0 3 0 1 0 1 1 1 -1 -1 0 4 1 0 -1 -1] [ 1 1 -2 -1 0 -1 -1 1 1 1 0 2 2 1 0 1 -1 1 4 -1 0 1] [ 1 0 1 0 2 2 0 0 0 0 2 -1 0 -2 0 0 0 0 -1 4 1 0] [-2 1 1 -1 -1 1 -1 -2 -1 -1 -1 0 -1 0 2 0 -1 -1 0 1 6 0] [ 1 -1 0 -1 0 0 0 -1 1 -1 0 0 1 -1 0 0 0 -1 1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1036. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 0 1 1 -1 1 -1 0 0 -1 -2 2 -2 -1 1 1 -1 -2 0] [ 1 4 0 2 0 0 2 -1 -1 -2 1 1 -1 1 1 0 -1 0 0 0 -2 -1] [-1 0 4 1 0 0 1 2 -2 -1 1 1 2 2 -1 -1 2 0 1 0 -1 -1] [ 1 2 1 4 -1 -1 2 0 -2 -1 0 2 1 0 1 -1 -1 -1 1 1 -1 -2] [ 0 0 0 -1 4 -1 1 0 2 1 0 0 -1 -1 1 0 0 2 0 1 1 1] [ 1 0 0 -1 -1 4 0 1 -1 -2 0 -1 -1 0 0 0 0 1 1 -1 -1 1] [ 1 2 1 2 1 0 4 1 -1 -2 0 2 0 0 1 -1 -1 1 0 1 -1 0] [-1 -1 2 0 0 1 1 4 -2 -1 -1 1 2 1 -1 -1 1 0 1 0 1 0] [ 1 -1 -2 -2 2 -1 -1 -2 6 3 -1 0 -1 -2 1 0 -1 2 -2 0 0 0] [-1 -2 -1 -1 1 -2 -2 -1 3 6 -2 0 1 -1 -1 0 1 1 -1 0 3 0] [ 0 1 1 0 0 0 0 -1 -1 -2 4 0 -1 1 0 0 1 0 1 -1 -2 0] [ 0 1 1 2 0 -1 2 1 0 0 0 4 1 0 0 -1 0 0 0 1 0 -1] [-1 -1 2 1 -1 -1 0 2 -1 1 -1 1 4 1 -1 -1 1 -1 0 0 1 -1] [-2 1 2 0 -1 0 0 1 -2 -1 1 0 1 4 -2 1 1 -1 0 -1 -1 -1] [ 2 1 -1 1 1 0 1 -1 1 -1 0 0 -1 -2 4 0 -1 0 1 1 0 0] [-2 0 -1 -1 0 0 -1 -1 0 0 0 -1 -1 1 0 4 0 -1 -1 1 1 1] [-1 -1 2 -1 0 0 -1 1 -1 1 1 0 1 1 -1 0 4 0 1 -1 1 1] [ 1 0 0 -1 2 1 1 0 2 1 0 0 -1 -1 0 -1 0 4 0 0 0 1] [ 1 0 1 1 0 1 0 1 -2 -1 1 0 0 0 1 -1 1 0 4 -1 0 0] [-1 0 0 1 1 -1 1 0 0 0 -1 1 0 -1 1 1 -1 0 -1 4 2 0] [-2 -2 -1 -1 1 -1 -1 1 0 3 -2 0 1 -1 0 1 1 0 0 2 6 1] [ 0 -1 -1 -2 1 1 0 0 0 0 0 -1 -1 -1 0 1 1 1 0 0 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1037. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 1 2 0 0 -2 -2 0 -1 -1 2 -2 -2 1 -1 0 -2 -1 -2] [ 2 4 0 -2 2 2 0 0 -2 -2 1 -2 0 1 -2 -1 2 1 1 -1 -1 -1] [ 2 0 4 1 -1 1 0 -1 -1 -2 -1 1 -1 1 -2 -1 0 -2 0 -2 -1 -2] [-1 -2 1 4 -2 0 0 -1 2 0 0 2 1 0 0 0 -1 -2 -1 0 1 1] [ 1 2 -1 -2 4 0 1 0 -2 0 1 -2 -1 0 0 -1 1 2 0 -1 -1 0] [ 2 2 1 0 0 4 -1 0 0 -1 0 0 0 2 -2 -1 0 0 1 -1 0 -1] [ 0 0 0 0 1 -1 4 -1 1 0 1 0 0 0 -1 -1 -1 -1 1 -2 0 0] [ 0 0 -1 -1 0 0 -1 4 0 2 0 0 -1 0 1 1 -1 2 1 0 1 1] [-2 -2 -1 2 -2 0 1 0 6 2 1 1 0 0 1 2 -2 0 0 1 3 1] [-2 -2 -2 0 0 -1 0 2 2 6 1 0 -1 -2 2 2 -2 3 0 1 1 1] [ 0 1 -1 0 1 0 1 0 1 1 4 -2 1 -1 0 0 1 1 -1 1 0 0] [-1 -2 1 2 -2 0 0 0 1 0 -2 4 0 1 0 0 -2 -1 0 0 1 1] [-1 0 -1 1 -1 0 0 -1 0 -1 1 0 4 -1 0 0 1 -2 0 2 0 1] [ 2 1 1 0 0 2 0 0 0 -2 -1 1 -1 4 -2 -2 0 0 0 -2 1 0] [-2 -2 -2 0 0 -2 -1 1 1 2 0 0 0 -2 4 2 -1 1 -1 2 1 1] [-2 -1 -1 0 -1 -1 -1 1 2 2 0 0 0 -2 2 4 0 1 0 2 1 1] [ 1 2 0 -1 1 0 -1 -1 -2 -2 1 -2 1 0 -1 0 4 0 -1 1 -1 0] [-1 1 -2 -2 2 0 -1 2 0 3 1 -1 -2 0 1 1 0 6 0 1 1 1] [ 0 1 0 -1 0 1 1 1 0 0 -1 0 0 0 -1 0 -1 0 4 -2 0 0] [-2 -1 -2 0 -1 -1 -2 0 1 1 1 0 2 -2 2 2 1 1 -2 6 1 1] [-1 -1 -1 1 -1 0 0 1 3 1 0 1 0 1 1 1 -1 1 0 1 4 1] [-2 -1 -2 1 0 -1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1038. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -2 1 -2 -1 2 2 -2 2 -2 0 -1 2 2 -2 2 -1 2 0 1] [-1 4 1 0 1 0 -1 0 1 0 -2 2 0 1 -2 -1 0 0 -1 0 -1 1] [ 0 1 4 1 -1 1 -2 0 0 1 0 -1 -1 2 -1 -2 1 -1 -1 0 1 0] [-2 0 1 4 -1 2 0 -2 -2 2 0 1 0 0 -2 -1 1 -2 0 0 1 0] [ 1 1 -1 -1 4 0 1 1 1 0 0 0 -1 -1 0 0 -1 0 -1 0 -1 0] [-2 0 1 2 0 4 0 -1 -2 2 -1 1 -1 0 -2 -1 1 -2 1 -1 1 0] [-1 -1 -2 0 1 0 4 -1 -1 0 0 0 -1 0 0 0 1 -1 1 -2 -1 -2] [ 2 0 0 -2 1 -1 -1 4 2 -1 0 -1 0 0 0 0 0 2 0 0 -1 1] [ 2 1 0 -2 1 -2 -1 2 4 -1 0 -1 0 0 0 0 -1 2 0 0 0 1] [-2 0 1 2 0 2 0 -1 -1 4 0 1 -1 0 -1 -1 1 -2 0 -1 1 0] [ 2 -2 0 0 0 -1 0 0 0 0 4 -1 0 -1 1 2 -1 0 0 2 0 0] [-2 2 -1 1 0 1 0 -1 -1 1 -1 6 2 -1 -2 2 1 -1 1 -1 -1 1] [ 0 0 -1 0 -1 -1 -1 0 0 -1 0 2 4 0 1 1 0 1 0 0 -1 0] [-1 1 2 0 -1 0 0 0 0 0 -1 -1 0 4 -1 -3 1 -1 0 -1 -1 -1] [ 2 -2 -1 -2 0 -2 0 0 0 -1 1 -2 1 -1 6 1 -1 2 -1 0 0 -1] [ 2 -1 -2 -1 0 -1 0 0 0 -1 2 2 1 -3 1 6 -1 1 0 2 0 2] [-2 0 1 1 -1 1 1 0 -1 1 -1 1 0 1 -1 -1 4 -1 1 -3 0 -1] [ 2 0 -1 -2 0 -2 -1 2 2 -2 0 -1 1 -1 2 1 -1 4 0 1 0 1] [-1 -1 -1 0 -1 1 1 0 0 0 0 1 0 0 -1 0 1 0 4 -2 0 0] [ 2 0 0 0 0 -1 -2 0 0 -1 2 -1 0 -1 0 2 -3 1 -2 6 1 2] [ 0 -1 1 1 -1 1 -1 -1 0 1 0 -1 -1 -1 0 0 0 0 0 1 4 0] [ 1 1 0 0 0 0 -2 1 1 0 0 1 0 -1 -1 2 -1 1 0 2 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1039. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 0 2 2 2 0 0 0 -1 -2 -1 0 1 0 -2 -1 1 0 -2] [ 2 4 0 1 -1 1 0 1 -1 0 -1 1 -2 -1 0 -1 -1 -2 0 1 0 -2] [ 0 0 4 -2 2 -2 0 1 1 0 0 1 2 -1 0 2 1 2 -1 -2 0 1] [ 1 1 -2 4 -2 2 1 0 -1 1 0 -1 -2 1 1 -2 0 -3 1 2 0 -1] [ 0 -1 2 -2 4 -2 -1 0 0 -1 1 1 2 0 -1 3 1 2 0 -2 -1 1] [ 2 1 -2 2 -2 4 1 0 0 0 -1 -2 -3 0 0 -1 -1 -2 0 2 0 -2] [ 2 0 0 1 -1 1 4 2 1 1 1 -2 -1 0 0 1 1 -2 -1 1 1 -1] [ 2 1 1 0 0 0 2 4 1 1 0 0 -1 -1 1 0 0 0 -2 0 1 -1] [ 0 -1 1 -1 0 0 1 1 4 1 -1 0 -1 0 1 0 -1 1 -2 0 0 0] [ 0 0 0 1 -1 0 1 1 1 4 -1 0 -2 1 1 -2 1 -1 0 0 -1 0] [ 0 -1 0 0 1 -1 1 0 -1 -1 4 -1 2 1 -1 2 2 -1 1 -1 0 0] [-1 1 1 -1 1 -2 -2 0 0 0 -1 4 0 0 0 -1 -1 1 0 -1 0 1] [-2 -2 2 -2 2 -3 -1 -1 -1 -2 2 0 6 0 0 3 1 2 0 -2 1 2] [-1 -1 -1 1 0 0 0 -1 0 1 1 0 0 4 -1 -1 0 -2 2 -1 0 0] [ 0 0 0 1 -1 0 0 1 1 1 -1 0 0 -1 4 -1 -1 0 -2 1 1 1] [ 1 -1 2 -2 3 -1 1 0 0 -2 2 -1 3 -1 -1 6 2 1 -1 -1 0 1] [ 0 -1 1 0 1 -1 1 0 -1 1 2 -1 1 0 -1 2 4 0 1 -1 -1 1] [-2 -2 2 -3 2 -2 -2 0 1 -1 -1 1 2 -2 0 1 0 6 -1 -1 0 2] [-1 0 -1 1 0 0 -1 -2 -2 0 1 0 0 2 -2 -1 1 -1 4 -1 -1 0] [ 1 1 -2 2 -2 2 1 0 0 0 -1 -1 -2 -1 1 -1 -1 -1 -1 4 1 -1] [ 0 0 0 0 -1 0 1 1 0 -1 0 0 1 0 1 0 -1 0 -1 1 4 0] [-2 -2 1 -1 1 -2 -1 -1 0 0 0 1 2 0 1 1 1 2 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1040. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 -2 0 1 -1 1 -1 0 1 -1 -2 1 -1 -2 -1 1 -2 1] [ 1 4 -2 0 2 -2 -1 -1 -2 0 1 1 -1 0 -1 -1 0 -2 0 2 -1 -1] [-1 -2 4 1 -2 0 -1 0 2 0 -1 -1 1 0 1 -1 1 1 -1 -2 2 0] [ 1 0 1 4 1 -2 0 1 -1 0 1 1 1 1 -1 -1 1 1 0 0 1 0] [ 1 2 -2 1 4 -2 1 1 -2 -1 1 1 -1 0 0 -1 -1 0 0 2 -1 -1] [-2 -2 0 -2 -2 6 -1 0 2 -1 1 0 0 0 2 2 0 1 0 -1 0 0] [ 0 -1 -1 0 1 -1 4 0 -1 1 0 -1 -1 1 0 0 0 0 0 0 -1 1] [ 1 -1 0 1 1 0 0 4 1 0 0 0 1 0 1 1 -2 2 0 0 -1 1] [-1 -2 2 -1 -2 2 -1 1 4 0 -1 -1 0 -1 2 1 -1 1 0 -2 0 1] [ 1 0 0 0 -1 -1 1 0 0 4 -1 -2 1 1 -1 1 0 0 -1 0 -2 2] [-1 1 -1 1 1 1 0 0 -1 -1 4 2 -1 2 1 0 1 0 1 0 0 0] [ 0 1 -1 1 1 0 -1 0 -1 -2 2 4 -1 1 0 -1 0 0 2 1 0 -1] [ 1 -1 1 1 -1 0 -1 1 0 1 -1 -1 4 -1 -1 1 0 0 -1 0 1 1] [-1 0 0 1 0 0 1 0 -1 1 2 1 -1 4 0 -1 1 1 1 0 0 0] [-2 -1 1 -1 0 2 0 1 2 -1 1 0 -1 0 4 0 -1 1 0 -1 0 0] [ 1 -1 -1 -1 -1 2 0 1 1 1 0 -1 1 -1 0 4 -1 0 0 0 -1 2] [-1 0 1 1 -1 0 0 -2 -1 0 1 0 0 1 -1 -1 4 0 -1 -1 1 -1] [-2 -2 1 1 0 1 0 2 1 0 0 0 0 1 1 0 0 6 1 0 1 -1] [-1 0 -1 0 0 0 0 0 0 -1 1 2 -1 1 0 0 -1 1 4 0 1 0] [ 1 2 -2 0 2 -1 0 0 -2 0 0 1 0 0 -1 0 -1 0 0 4 0 -1] [-2 -1 2 1 -1 0 -1 -1 0 -2 0 0 1 0 0 -1 1 1 1 0 6 -2] [ 1 -1 0 0 -1 0 1 1 1 2 0 -1 1 0 0 2 -1 -1 0 -1 -2 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1041. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 1 0 0 1 1 -2 0 0 -2 -1 -1 2 0 0 -1 1 -2 0] [ 0 4 0 0 -1 2 2 2 -1 1 0 -2 2 2 1 -2 1 0 0 0 1 1] [ 0 0 4 2 1 0 1 -1 1 0 0 1 2 0 -1 1 0 -2 -1 2 2 2] [ 0 0 2 4 2 1 1 -2 1 0 -1 0 2 0 0 1 1 -2 -1 1 2 1] [ 1 -1 1 2 4 -1 -1 -2 2 -2 -1 0 -1 -1 0 2 0 -2 -2 1 0 1] [ 0 2 0 1 -1 4 2 1 -1 1 0 -1 1 2 0 -1 2 1 1 -1 2 0] [ 0 2 1 1 -1 2 4 0 0 1 -1 0 1 2 0 0 0 0 1 1 2 0] [ 1 2 -1 -2 -2 1 0 6 -2 0 0 -2 0 0 -1 0 2 2 0 -1 -2 0] [ 1 -1 1 1 2 -1 0 -2 4 -2 -1 1 -1 -1 1 1 0 -1 -2 1 0 0] [-2 1 0 0 -2 1 1 0 -2 4 0 0 2 2 0 -2 0 0 2 0 1 0] [ 0 0 0 -1 -1 0 -1 0 -1 0 4 -1 0 0 1 -2 0 1 0 0 0 0] [ 0 -2 1 0 0 -1 0 -2 1 0 -1 4 0 0 -1 2 -2 -1 1 1 0 -1] [-2 2 2 2 -1 1 1 0 -1 2 0 0 6 1 1 -2 1 -1 0 1 3 2] [-1 2 0 0 -1 2 2 0 -1 2 0 0 1 4 0 -1 0 0 1 0 2 0] [-1 1 -1 0 0 0 0 -1 1 0 1 -1 1 0 4 -3 0 0 0 0 0 0] [ 2 -2 1 1 2 -1 0 0 1 -2 -2 2 -2 -1 -3 6 0 -1 -1 1 -1 0] [ 0 1 0 1 0 2 0 2 0 0 0 -2 1 0 0 0 4 1 -1 -1 1 1] [ 0 0 -2 -2 -2 1 0 2 -1 0 1 -1 -1 0 0 -1 1 4 1 -1 0 -1] [-1 0 -1 -1 -2 1 1 0 -2 2 0 1 0 1 0 -1 -1 1 4 -1 0 -1] [ 1 0 2 1 1 -1 1 -1 1 0 0 1 1 0 0 1 -1 -1 -1 4 1 1] [-2 1 2 2 0 2 2 -2 0 1 0 0 3 2 0 -1 1 0 0 1 6 1] [ 0 1 2 1 1 0 0 0 0 0 0 -1 2 0 0 0 1 -1 -1 1 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1042. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 0 1 2 -1 -1 1 -2 -1 -1 1 2 -1 1 0 -2 -1 0 -1 2] [ 1 4 -1 1 -1 0 0 1 -1 0 -2 1 1 0 -2 1 1 -1 1 0 -1 0] [ 2 -1 4 0 0 2 0 -1 1 -1 1 -2 1 1 -1 1 -1 -1 -2 1 -1 1] [ 0 1 0 4 0 0 0 2 1 -1 -1 0 1 0 -1 0 1 -1 2 1 0 1] [ 1 -1 0 0 4 0 -1 0 2 -1 1 0 0 1 2 -1 -1 1 1 1 0 0] [ 2 0 2 0 0 4 1 -1 0 0 1 0 1 2 -1 1 1 0 0 1 0 1] [-1 0 0 0 -1 1 4 1 0 1 0 0 1 -1 0 1 2 2 -1 -1 -1 -1] [-1 1 -1 2 0 -1 1 4 1 1 0 0 1 -1 -1 1 1 1 1 0 -1 -1] [ 1 -1 1 1 2 0 0 1 4 -2 0 -2 1 0 1 1 0 1 -1 1 0 0] [-2 0 -1 -1 -1 0 1 1 -2 6 3 1 -2 0 0 -1 1 0 0 1 0 -1] [-1 -2 1 -1 1 1 0 0 0 3 6 -1 0 0 1 -1 0 1 -1 3 0 -1] [-1 1 -2 0 0 0 0 0 -2 1 -1 4 -1 1 0 -1 0 1 2 0 1 0] [ 1 1 1 1 0 1 1 1 1 -2 0 -1 4 -1 -1 2 1 0 0 1 -1 0] [ 2 0 1 0 1 2 -1 -1 0 0 0 1 -1 4 -1 -1 0 0 0 0 1 2] [-1 -2 -1 -1 2 -1 0 -1 1 0 1 0 -1 -1 4 -1 -1 1 0 0 1 -1] [ 1 1 1 0 -1 1 1 1 1 -1 -1 -1 2 -1 -1 4 1 0 -1 0 -1 0] [ 0 1 -1 1 -1 1 2 1 0 1 0 0 1 0 -1 1 4 0 0 0 0 1] [-2 -1 -1 -1 1 0 2 1 1 0 1 1 0 0 1 0 0 6 0 0 1 -2] [-1 1 -2 2 1 0 -1 1 -1 0 -1 2 0 0 0 -1 0 0 6 0 1 0] [ 0 0 1 1 1 1 -1 0 1 1 3 0 1 0 0 0 0 0 0 6 1 0] [-1 -1 -1 0 0 0 -1 -1 0 0 0 1 -1 1 1 -1 0 1 1 1 4 0] [ 2 0 1 1 0 1 -1 -1 0 -1 -1 0 0 2 -1 0 1 -2 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1043. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 1 -2 0 1 -1 0 2 -2 1 -1 1 0 1 2 -1 0 -1 0] [-2 4 1 1 0 1 0 1 0 1 -1 1 0 0 1 -1 -1 -2 2 0 -1 0] [ 0 1 4 1 2 0 0 -1 -2 0 0 1 1 1 -1 -1 -1 -1 0 0 0 1] [ 0 1 1 4 2 0 0 -1 1 0 0 1 0 1 0 1 -1 -1 1 0 0 0] [ 1 0 2 2 4 -1 0 0 0 -1 0 1 0 1 0 0 -1 -1 -1 -1 -1 1] [-2 1 0 0 -1 4 1 -2 0 0 0 2 -1 0 0 1 -1 0 1 -1 2 -1] [ 0 0 0 0 0 1 4 -2 0 -1 -1 -1 1 1 0 0 1 0 -1 1 0 -2] [ 1 1 -1 -1 0 -2 -2 6 1 0 1 -2 1 -1 2 -2 -1 0 1 -1 -3 0] [-1 0 -2 1 0 0 0 1 4 0 -1 0 0 1 1 1 -1 -1 0 0 -1 -1] [ 0 1 0 0 -1 0 -1 0 0 4 1 1 0 -1 1 0 -1 0 1 1 -1 1] [ 2 -1 0 0 0 0 -1 1 -1 1 4 0 0 -2 0 0 0 2 1 -1 0 0] [-2 1 1 1 1 2 -1 -2 0 1 0 6 -3 -1 -1 2 -1 -2 0 0 0 1] [ 1 0 1 0 0 -1 1 1 0 0 0 -3 4 1 1 -2 0 1 0 1 0 0] [-1 0 1 1 1 0 1 -1 1 -1 -2 -1 1 4 -1 0 -1 -1 -1 0 1 0] [ 1 1 -1 0 0 0 0 2 1 1 0 -1 1 -1 4 -1 -1 0 1 0 -2 0] [ 0 -1 -1 1 0 1 0 -2 1 0 0 2 -2 0 -1 4 1 0 -1 0 1 0] [ 1 -1 -1 -1 -1 -1 1 -1 -1 -1 0 -1 0 -1 -1 1 4 1 -1 1 1 0] [ 2 -2 -1 -1 -1 0 0 0 -1 0 2 -2 1 -1 0 0 1 4 0 0 2 0] [-1 2 0 1 -1 1 -1 1 0 1 1 0 0 -1 1 -1 -1 0 4 -1 0 0] [ 0 0 0 0 -1 -1 1 -1 0 1 -1 0 1 0 0 0 1 0 -1 4 0 0] [-1 -1 0 0 -1 2 0 -3 -1 -1 0 0 0 1 -2 1 1 2 0 0 6 0] [ 0 0 1 0 1 -1 -2 0 -1 1 0 1 0 0 0 0 0 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1044. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 -1 0 -1 -1 -1 -2 0 -1 -1 0 -1 -1 -1 0 2 -2 1] [ 2 4 0 -1 1 -2 0 -2 0 0 0 1 0 0 1 0 0 1 -1 0 -2 1] [ 2 0 4 2 -1 1 0 1 -2 0 -2 -1 0 -1 0 0 -2 -2 0 2 -1 1] [ 1 -1 2 4 -1 2 1 2 -2 0 -2 -2 0 0 -1 0 -1 -2 1 1 -1 1] [ 0 1 -1 -1 4 0 0 -2 0 1 1 1 1 1 1 0 -1 1 0 0 -1 -1] [-1 -2 1 2 0 6 2 0 -1 2 -1 -3 -1 2 -1 2 -1 -1 2 0 -1 1] [ 0 0 0 1 0 2 4 1 0 0 0 -2 0 0 1 2 0 1 2 0 0 2] [-1 -2 1 2 -2 0 1 6 0 -2 -1 -1 1 -2 0 1 -1 0 1 1 1 1] [-1 0 -2 -2 0 -1 0 0 4 0 2 1 0 0 0 0 2 2 0 -1 2 0] [-1 0 0 0 1 2 0 -2 0 4 1 -1 1 2 -1 1 0 0 -1 -1 -1 0] [-2 0 -2 -2 1 -1 0 -1 2 1 4 1 1 0 0 0 2 2 0 -2 2 -1] [ 0 1 -1 -2 1 -3 -2 -1 1 -1 1 4 1 -1 0 -2 1 1 -1 -1 0 -2] [-1 0 0 0 1 -1 0 1 0 1 1 1 4 -1 1 0 0 0 0 0 0 0] [-1 0 -1 0 1 2 0 -2 0 2 0 -1 -1 4 -1 1 0 0 -1 -1 0 0] [ 0 1 0 -1 1 -1 1 0 0 -1 0 0 1 -1 4 0 -1 0 1 1 0 1] [-1 0 0 0 0 2 2 1 0 1 0 -2 0 1 0 4 0 1 0 0 0 2] [-1 0 -2 -1 -1 -1 0 -1 2 0 2 1 0 0 -1 0 4 1 0 -2 2 0] [-1 1 -2 -2 1 -1 1 0 2 0 2 1 0 0 0 1 1 4 0 -1 1 0] [ 0 -1 0 1 0 2 2 1 0 -1 0 -1 0 -1 1 0 0 0 4 0 0 1] [ 2 0 2 1 0 0 0 1 -1 -1 -2 -1 0 -1 1 0 -2 -1 0 4 0 1] [-2 -2 -1 -1 -1 -1 0 1 2 -1 2 0 0 0 0 0 2 1 0 0 6 -1] [ 1 1 1 1 -1 1 2 1 0 0 -1 -2 0 0 1 2 0 0 1 1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1045. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 2 -1 1 -1 -1 -1 -1 0 0 -1 1 1 -2 0 0 1 -1] [-1 6 -3 1 2 1 -2 -1 -1 3 -1 2 -1 1 1 1 1 -1 2 -2 -1 2] [ 2 -3 6 -2 -1 1 1 -1 -1 0 -1 -1 2 -2 -2 1 1 -1 -1 1 2 -1] [ 0 1 -2 4 0 0 0 1 1 1 0 -1 -1 0 1 1 1 0 2 1 -1 -1] [ 0 2 -1 0 4 0 0 1 0 2 -1 1 0 2 1 -1 -1 0 0 0 -1 1] [ 2 1 1 0 0 4 0 0 0 0 0 1 1 0 0 1 2 -2 1 -1 0 0] [-1 -2 1 0 0 0 4 1 1 -1 0 -1 2 0 1 -1 0 1 0 2 0 -1] [ 1 -1 -1 1 1 0 1 4 0 -2 -1 -1 0 1 0 0 -1 0 0 1 -1 -1] [-1 -1 -1 1 0 0 1 0 4 -1 2 0 -1 1 2 0 -1 2 -1 0 -1 -1] [-1 3 0 1 2 0 -1 -2 -1 6 0 1 0 -1 0 0 1 0 2 0 -1 1] [-1 -1 -1 0 -1 0 0 -1 2 0 4 1 0 0 0 -1 0 1 0 0 -1 -1] [-1 2 -1 -1 1 1 -1 -1 0 1 1 4 0 1 0 -1 0 0 0 -1 0 2] [ 0 -1 2 -1 0 1 2 0 -1 0 0 0 4 -1 -1 -1 1 -1 0 1 1 0] [ 0 1 -2 0 2 0 0 1 1 -1 0 1 -1 4 2 -1 -1 0 0 0 -1 1] [-1 1 -2 1 1 0 1 0 2 0 0 0 -1 2 4 -1 -1 1 0 0 -1 1] [ 1 1 1 1 -1 1 -1 0 0 0 -1 -1 -1 -1 -1 4 1 -1 1 -1 0 -1] [ 1 1 1 1 -1 2 0 -1 -1 1 0 0 1 -1 -1 1 4 -2 2 0 0 -1] [-2 -1 -1 0 0 -2 1 0 2 0 1 0 -1 0 1 -1 -2 4 -1 1 0 0] [ 0 2 -1 2 0 1 0 0 -1 2 0 0 0 0 0 1 2 -1 4 0 -1 0] [ 0 -2 1 1 0 -1 2 1 0 0 0 -1 1 0 0 -1 0 1 0 4 1 -1] [ 1 -1 2 -1 -1 0 0 -1 -1 -1 -1 0 1 -1 -1 0 0 0 -1 1 4 0] [-1 2 -1 -1 1 0 -1 -1 -1 1 -1 2 0 1 1 -1 -1 0 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1046. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 1 -1 0 1 2 1 1 -2 -2 0 -1 -1 -2 -1 -1 0 1] [-2 4 -2 2 1 -2 0 0 -1 -2 -2 -2 2 0 0 1 1 2 0 1 0 0] [ 2 -2 4 -2 -1 0 -1 1 0 2 1 2 0 0 -1 0 -2 -2 -1 0 1 1] [-1 2 -2 6 -1 0 1 -1 2 -2 -3 -3 -1 2 -1 1 2 2 -1 -2 -1 1] [ 1 1 -1 -1 6 -2 0 -1 -1 1 1 0 2 -3 -1 -1 -1 -1 0 1 1 1] [ 1 -2 0 0 -2 6 1 -2 0 0 0 0 -3 0 0 -2 2 0 -1 -3 0 0] [-1 0 -1 1 0 1 4 0 -1 -1 0 0 -1 2 0 -1 2 1 -1 -2 -1 1] [ 0 0 1 -1 -1 -2 0 4 0 0 1 0 0 0 1 1 -1 0 1 0 0 0] [ 1 -1 0 2 -1 0 -1 0 4 0 -1 -1 -2 1 0 0 0 0 0 -1 -1 0] [ 2 -2 2 -2 1 0 -1 0 0 4 2 1 0 -2 -1 0 -2 -2 -1 1 1 1] [ 1 -2 1 -3 1 0 0 1 -1 2 4 2 0 -1 0 -1 -1 -2 0 0 0 0] [ 1 -2 2 -3 0 0 0 0 -1 1 2 4 0 0 0 -1 -1 -2 0 1 0 0] [-2 2 0 -1 2 -3 -1 0 -2 0 0 0 6 0 -2 2 -1 1 0 2 2 -1] [-2 0 0 2 -3 0 2 0 1 -2 -1 0 0 6 0 0 2 2 -1 -1 -2 -1] [ 0 0 -1 -1 -1 0 0 1 0 -1 0 0 -2 0 4 -1 0 0 2 1 -2 -1] [-1 1 0 1 -1 -2 -1 1 0 0 -1 -1 2 0 -1 4 0 1 0 1 1 0] [-1 1 -2 2 -1 2 2 -1 0 -2 -1 -1 -1 2 0 0 4 2 -1 -2 -1 0] [-2 2 -2 2 -1 0 1 0 0 -2 -2 -2 1 2 0 1 2 4 0 0 0 -1] [-1 0 -1 -1 0 -1 -1 1 0 -1 0 0 0 -1 2 0 -1 0 4 1 0 -1] [-1 1 0 -2 1 -3 -2 0 -1 1 0 1 2 -1 1 1 -2 0 1 6 1 -1] [ 0 0 1 -1 1 0 -1 0 -1 1 0 0 2 -2 -2 1 -1 0 0 1 4 0] [ 1 0 1 1 1 0 1 0 0 1 0 0 -1 -1 -1 0 0 -1 -1 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1047. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 1 2 0 -1 1 -1 0 -1 -1 1 -2 -1 0 1 -1 -2 -2 1 1] [ 0 4 -1 0 -1 2 2 0 -1 2 1 2 0 1 0 0 -1 1 1 -1 0 -1] [-1 -1 4 -1 0 0 1 1 1 -1 1 0 1 0 1 1 -1 -1 1 0 0 0] [ 1 0 -1 4 -1 0 1 1 1 -1 -1 0 -1 0 1 1 -1 0 1 -2 -1 2] [ 2 -1 0 -1 4 -1 -1 0 -1 -1 -1 -1 1 -2 0 0 2 -1 -2 0 2 1] [ 0 2 0 0 -1 4 2 1 0 1 0 2 0 1 0 1 -2 -1 2 0 0 -1] [-1 2 1 1 -1 2 6 2 0 0 0 1 -1 2 3 0 -1 0 1 0 0 0] [ 1 0 1 1 0 1 2 4 1 -1 0 0 -1 0 2 1 -1 0 1 -1 0 0] [-1 -1 1 1 -1 0 0 1 4 0 0 0 -1 0 1 2 -1 0 1 -1 -2 0] [ 0 2 -1 -1 -1 1 0 -1 0 4 0 0 1 0 -1 -1 0 0 -1 0 0 -2] [-1 1 1 -1 -1 0 0 0 0 0 4 0 1 0 0 0 0 1 0 1 -1 -1] [-1 2 0 0 -1 2 1 0 0 0 0 4 -1 2 0 1 -2 1 2 0 0 0] [ 1 0 1 -1 1 0 -1 -1 -1 1 1 -1 4 -2 -1 0 1 -2 -1 1 1 0] [-2 1 0 0 -2 1 2 0 0 0 0 2 -2 4 0 -1 -1 2 1 0 0 0] [-1 0 1 1 0 0 3 2 1 -1 0 0 -1 0 4 1 -1 0 1 0 0 0] [ 0 0 1 1 0 1 0 1 2 -1 0 1 0 -1 1 4 -1 -1 2 -1 -1 1] [ 1 -1 -1 -1 2 -2 -1 -1 -1 0 0 -2 1 -1 -1 -1 4 0 -3 1 1 1] [-1 1 -1 0 -1 -1 0 0 0 0 1 1 -2 2 0 -1 0 4 0 0 0 0] [-2 1 1 1 -2 2 1 1 1 -1 0 2 -1 1 1 2 -3 0 6 -1 -1 0] [-2 -1 0 -2 0 0 0 -1 -1 0 1 0 1 0 0 -1 1 0 -1 6 1 -1] [ 1 0 0 -1 2 0 0 0 -2 0 -1 0 1 0 0 -1 1 0 -1 1 4 0] [ 1 -1 0 2 1 -1 0 0 0 -2 -1 0 0 0 0 1 1 0 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1048. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 1 1 2 -2 1 2 1 -1 -2 -1 2 -2 -1 0 0 -1 1] [-1 4 2 1 1 1 -1 -1 -1 -1 1 -2 0 0 0 0 -1 2 0 0 0 1] [-2 2 4 -1 -1 0 -1 -1 0 -1 -1 -1 0 1 1 0 1 2 -1 0 1 1] [ 2 1 -1 6 0 0 -1 0 -1 -1 0 1 0 -2 -2 -1 -3 0 -1 -2 -1 2] [ 2 1 -1 0 6 1 2 2 -1 2 3 -1 1 0 -1 3 -3 -1 2 1 0 0] [ 1 1 0 0 1 4 -1 1 0 -1 1 0 -1 0 -1 2 -2 1 1 0 0 0] [ 1 -1 -1 -1 2 -1 4 2 0 2 0 0 1 0 1 2 -1 -2 1 0 0 -1] [ 2 -1 -1 0 2 1 2 4 0 1 1 0 1 0 -1 3 -2 -1 0 0 -1 0] [-2 -1 0 -1 -1 0 0 0 4 0 -2 1 1 2 0 -1 0 -1 1 0 0 -2] [ 1 -1 -1 -1 2 -1 2 1 0 4 0 0 0 1 1 0 -1 -2 1 0 -1 -1] [ 2 1 -1 0 3 1 0 1 -2 0 6 -2 0 -1 -1 2 0 1 1 1 0 1] [ 1 -2 -1 1 -1 0 0 0 1 0 -2 4 0 -1 -1 -1 0 -1 0 -1 -1 -1] [-1 0 0 0 1 -1 1 1 1 0 0 0 4 0 0 0 0 -1 1 0 0 0] [-2 0 1 -2 0 0 0 0 2 1 -1 -1 0 4 0 0 0 0 0 0 1 -1] [-1 0 1 -2 -1 -1 1 -1 0 1 -1 -1 0 0 4 -1 1 -1 1 1 0 0] [ 2 0 0 -1 3 2 2 3 -1 0 2 -1 0 0 -1 6 -1 0 0 1 1 1] [-2 -1 1 -3 -3 -2 -1 -2 0 -1 0 0 0 0 1 -1 6 1 -1 1 1 0] [-1 2 2 0 -1 1 -2 -1 -1 -2 1 -1 -1 0 -1 0 1 4 -1 0 1 1] [ 0 0 -1 -1 2 1 1 0 1 1 1 0 1 0 1 0 -1 -1 4 0 0 -1] [ 0 0 0 -2 1 0 0 0 0 0 1 -1 0 0 1 1 1 0 0 4 1 0] [-1 0 1 -1 0 0 0 -1 0 -1 0 -1 0 1 0 1 1 1 0 1 4 0] [ 1 1 1 2 0 0 -1 0 -2 -1 1 -1 0 -1 0 1 0 1 -1 0 0 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1049. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 0 -2 -1 -2 -2 -1 1 1 -1 0 0 1 0 -1 1 2 0] [ 0 4 -1 0 0 2 1 -2 -1 1 1 0 0 2 -1 -1 -1 0 0 2 -1 1] [ 1 -1 4 -1 1 -1 -2 1 1 -2 0 -1 1 0 -1 -1 -1 -1 -1 1 2 -1] [ 0 0 -1 4 -2 1 2 -1 -2 0 -1 1 -2 0 2 -1 1 2 1 -2 -2 2] [ 0 0 1 -2 4 -1 -2 2 2 0 2 -2 0 0 -1 0 -1 -2 -2 2 1 -1] [ 0 2 -1 1 -1 4 0 -1 0 0 -1 0 -1 0 0 -1 0 0 0 -1 -1 2] [-2 1 -2 2 -2 0 6 0 -1 1 0 1 0 2 1 1 -1 2 3 0 -3 0] [-1 -2 1 -1 2 -1 0 6 1 0 0 -2 0 0 0 1 -2 0 0 1 -1 -1] [-2 -1 1 -2 2 0 -1 1 6 1 1 -2 1 -1 0 1 0 -2 -1 -1 1 -1] [-2 1 -2 0 0 0 1 0 1 4 1 -1 0 1 1 1 0 0 0 0 -2 0] [-1 1 0 -1 2 -1 0 0 1 1 4 0 0 1 0 0 0 0 0 2 -1 -1] [ 1 0 -1 1 -2 0 1 -2 -2 -1 0 4 0 -1 0 0 2 2 2 -1 0 0] [ 1 0 1 -2 0 -1 0 0 1 0 0 0 4 0 0 1 0 0 0 2 2 -1] [-1 2 0 0 0 0 2 0 -1 1 1 -1 0 4 -1 0 -2 0 0 2 -1 0] [ 0 -1 -1 2 -1 0 1 0 0 1 0 0 0 -1 4 0 1 1 1 -1 -2 1] [ 0 -1 -1 -1 0 -1 1 1 1 1 0 0 1 0 0 4 1 0 0 0 0 -1] [ 1 -1 -1 1 -1 0 -1 -2 0 0 0 2 0 -2 1 1 4 1 0 -2 1 1] [ 0 0 -1 2 -2 0 2 0 -2 0 0 2 0 0 1 0 1 4 2 0 -1 1] [-1 0 -1 1 -2 0 3 0 -1 0 0 2 0 0 1 0 0 2 4 -1 -2 0] [ 1 2 1 -2 2 -1 0 1 -1 0 2 -1 2 2 -1 0 -2 0 -1 6 1 -1] [ 2 -1 2 -2 1 -1 -3 -1 1 -2 -1 0 2 -1 -2 0 1 -1 -2 1 6 -1] [ 0 1 -1 2 -1 2 0 -1 -1 0 -1 0 -1 0 1 -1 1 1 0 -1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1050. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 2 1 1 2 -2 -1 -2 -1 0 2 -1 -1 -1 1 1 1 -1 2] [ 1 4 0 1 2 0 0 0 -2 -2 0 -1 -1 0 -1 -1 1 1 0 2 1 1] [-2 0 4 1 -2 0 0 -2 2 1 2 -1 1 -1 0 1 2 1 -1 0 1 -1] [ 1 1 1 4 -1 1 -1 1 0 0 1 0 0 0 -1 1 0 2 -1 1 1 1] [ 2 2 -2 -1 6 -1 2 0 -1 -2 -3 -1 -2 2 -1 -1 0 -1 2 1 1 2] [ 1 0 0 1 -1 4 -1 0 -2 0 -1 -1 1 1 -1 -1 -1 2 1 0 -2 1] [ 1 0 0 -1 2 -1 4 -1 1 0 0 -1 1 1 1 -1 1 -1 1 0 1 1] [ 2 0 -2 1 0 0 -1 4 -2 -1 -1 1 -1 1 0 1 -2 0 -1 0 0 1] [-2 -2 2 0 -1 -2 1 -2 6 1 1 0 1 -1 0 1 2 -1 0 0 2 -1] [-1 -2 1 0 -2 0 0 -1 1 4 2 1 1 -1 0 0 1 0 0 -2 -1 -1] [-2 0 2 1 -3 -1 0 -1 1 2 6 0 1 -3 1 1 1 1 -1 0 2 -2] [-1 -1 -1 0 -1 -1 -1 1 0 1 0 4 0 -1 0 0 0 -1 -1 -2 -1 -1] [ 0 -1 1 0 -2 1 1 -1 1 1 1 0 4 -1 1 -1 1 0 1 0 -1 0] [ 2 0 -1 0 2 1 1 1 -1 -1 -3 -1 -1 4 -1 0 -1 0 0 0 0 2] [-1 -1 0 -1 -1 -1 1 0 0 0 1 0 1 -1 4 0 -1 -2 0 0 0 0] [-1 -1 1 1 -1 -1 -1 1 1 0 1 0 -1 0 0 4 0 0 -2 0 2 0] [-1 1 2 0 0 -1 1 -2 2 1 1 0 1 -1 -1 0 4 0 0 0 1 0] [ 1 1 1 2 -1 2 -1 0 -1 0 1 -1 0 0 -2 0 0 4 0 1 0 0] [ 1 0 -1 -1 2 1 1 -1 0 0 -1 -1 1 0 0 -2 0 0 4 0 -1 1] [ 1 2 0 1 1 0 0 0 0 -2 0 -2 0 0 0 0 0 1 0 4 2 1] [-1 1 1 1 1 -2 1 0 2 -1 2 -1 -1 0 0 2 1 0 -1 2 6 0] [ 2 1 -1 1 2 1 1 1 -1 -1 -2 -1 0 2 0 0 0 0 1 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1051. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 -1 1 1 1 0 -2 1 0 -1 -2 1 -1 0 2 -2] [ 1 4 -1 -2 2 -1 2 0 2 1 -1 1 -2 -1 -1 -2 -1 1 -1 0 2 -2] [-1 -1 4 0 0 0 0 -1 0 -1 0 1 2 0 -1 0 0 -1 1 0 -2 2] [-1 -2 0 4 -1 -1 0 -1 0 -1 1 -1 2 0 0 2 0 -1 0 0 -1 1] [ 1 2 0 -1 4 -1 1 0 1 1 1 1 0 0 -2 0 0 1 0 -1 2 0] [ 1 -1 0 -1 -1 4 -2 0 0 1 1 -1 -1 0 2 -1 0 -1 -1 -1 -1 1] [ 1 2 0 0 1 -2 4 0 2 -1 0 0 0 0 -2 -1 -2 1 -1 1 1 -2] [-1 0 -1 -1 0 0 0 4 0 -1 -1 0 1 1 1 0 1 1 0 -1 0 1] [ 1 2 0 0 1 0 2 0 4 0 0 0 -1 -1 0 -1 -2 0 -1 -1 0 0] [ 1 1 -1 -1 1 1 -1 -1 0 4 0 -1 -1 0 0 0 0 1 -1 0 0 0] [ 1 -1 0 1 1 1 0 -1 0 0 4 0 0 1 0 1 0 -1 0 -1 0 1] [ 0 1 1 -1 1 -1 0 0 0 -1 0 4 -1 1 0 -1 0 0 2 0 0 0] [-2 -2 2 2 0 -1 0 1 -1 -1 0 -1 6 0 -1 2 1 -1 0 0 -1 3] [ 1 -1 0 0 0 0 0 1 -1 0 1 1 0 4 0 0 0 1 1 0 0 0] [ 0 -1 -1 0 -2 2 -2 1 0 0 0 0 -1 0 4 0 0 -1 0 -1 -1 1] [-1 -2 0 2 0 -1 -1 0 -1 0 1 -1 2 0 0 4 1 0 1 0 0 2] [-2 -1 0 0 0 0 -2 1 -2 0 0 0 1 0 0 1 4 0 0 -1 -1 1] [ 1 1 -1 -1 1 -1 1 1 0 1 -1 0 -1 1 -1 0 0 4 0 1 1 -2] [-1 -1 1 0 0 -1 -1 0 -1 -1 0 2 0 1 0 1 0 0 4 0 0 1] [ 0 0 0 0 -1 -1 1 -1 -1 0 -1 0 0 0 -1 0 -1 1 0 4 1 -2] [ 2 2 -2 -1 2 -1 1 0 0 0 0 0 -1 0 -1 0 -1 1 0 1 6 -3] [-2 -2 2 1 0 1 -2 1 0 0 1 0 3 0 1 2 1 -2 1 -2 -3 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1052. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 2 0 -2 2 0 -2 -1 -1 -1 2 -2 1 -1 -1 -2 0 1 -1 0] [ 2 4 2 2 -1 0 2 1 -2 0 1 0 1 0 -1 -1 -1 0 0 2 -1 1] [ 1 2 4 0 -1 0 0 0 -2 0 -1 1 0 0 0 1 0 0 -1 0 1 2] [ 2 2 0 4 -1 -1 2 0 -2 0 0 -1 1 0 0 -2 0 0 0 2 -2 -1] [ 0 -1 -1 -1 4 1 1 1 2 0 0 0 0 0 0 0 -1 0 0 0 -1 0] [-2 0 0 -1 1 4 0 1 2 1 2 0 -2 2 -2 1 -1 2 -1 0 -1 1] [ 2 2 0 2 1 0 4 0 0 0 0 -1 1 -1 0 -2 -2 0 0 2 -1 -1] [ 0 1 0 0 1 1 0 4 0 0 2 0 1 1 -2 1 -1 0 1 1 0 1] [-2 -2 -2 -2 2 2 0 0 6 -1 2 -1 -1 1 0 0 -2 1 1 -1 -1 0] [-1 0 0 0 0 1 0 0 -1 4 1 2 -1 1 -1 0 0 2 -2 0 0 0] [-1 1 -1 0 0 2 0 2 2 1 6 -1 0 2 -2 0 -1 2 1 0 -1 1] [-1 0 1 -1 0 0 -1 0 -1 2 -1 4 0 0 -1 0 1 1 -1 -1 0 0] [ 2 1 0 1 0 -2 1 1 -1 -1 0 0 4 -2 1 -1 0 -2 2 1 0 0] [-2 0 0 0 0 2 -1 1 1 1 2 0 -2 4 -2 1 0 2 -1 0 0 1] [ 1 -1 0 0 0 -2 0 -2 0 -1 -2 -1 1 -2 4 -1 0 -2 1 0 0 0] [-1 -1 1 -2 0 1 -2 1 0 0 0 0 -1 1 -1 4 1 0 -1 -1 2 2] [-1 -1 0 0 -1 -1 -2 -1 -2 0 -1 1 0 0 0 1 4 0 0 -1 1 0] [-2 0 0 0 0 2 0 0 1 2 2 1 -2 2 -2 0 0 4 -1 0 0 0] [ 0 0 -1 0 0 -1 0 1 1 -2 1 -1 2 -1 1 -1 0 -1 4 0 0 0] [ 1 2 0 2 0 0 2 1 -1 0 0 -1 1 0 0 -1 -1 0 0 4 0 0] [-1 -1 1 -2 -1 -1 -1 0 -1 0 -1 0 0 0 0 2 1 0 0 0 6 0] [ 0 1 2 -1 0 1 -1 1 0 0 1 0 0 1 0 2 0 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1053. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 2 -2 1 -2 0 -2 2 2 -1 0 1 2 2 -1 1 0 -1 0] [-1 4 1 -1 -2 0 1 2 0 0 -2 0 0 -1 0 -1 1 2 0 -1 0 1] [ 0 1 4 -1 0 1 2 0 1 1 0 0 1 1 1 -2 0 1 -1 0 -1 2] [ 2 -1 -1 4 1 -2 0 -1 1 -2 1 0 0 1 0 2 1 0 0 0 0 0] [ 2 -2 0 1 4 -1 -1 -1 0 -1 1 1 0 1 1 0 1 -2 0 1 -1 0] [-2 0 1 -2 -1 4 0 0 1 2 -1 -2 0 0 -1 -1 -2 0 -1 0 1 1] [ 1 1 2 0 -1 0 4 -1 0 0 1 1 1 -1 1 0 0 2 -1 -1 0 2] [-2 2 0 -1 -1 0 -1 4 0 1 -2 -1 0 0 -1 -2 0 1 -1 -1 1 0] [ 0 0 1 1 0 1 0 0 4 1 0 0 0 2 0 -1 -1 0 0 0 1 1] [-2 0 1 -2 -1 2 0 1 1 4 0 0 0 0 0 -1 -2 0 -1 0 1 1] [ 2 -2 0 1 1 -1 1 -2 0 0 4 2 0 0 0 2 0 -1 1 1 -1 0] [ 2 0 0 0 1 -2 1 -1 0 0 2 6 1 -1 1 2 2 -1 2 -1 -1 0] [-1 0 1 0 0 0 1 0 0 0 0 1 4 1 1 -1 0 1 -1 -1 -1 0] [ 0 -1 1 1 1 0 -1 0 2 0 0 -1 1 4 0 -2 -1 -1 0 1 -1 0] [ 1 0 1 0 1 -1 1 -1 0 0 0 1 1 0 4 -1 1 1 0 -1 -1 0] [ 2 -1 -2 2 0 -1 0 -2 -1 -1 2 2 -1 -2 -1 6 2 -1 1 0 0 0] [ 2 1 0 1 1 -2 0 0 -1 -2 0 2 0 -1 1 2 4 0 1 -1 -1 0] [-1 2 1 0 -2 0 2 1 0 0 -1 -1 1 -1 1 -1 0 4 -1 -1 1 1] [ 1 0 -1 0 0 -1 -1 -1 0 -1 1 2 -1 0 0 1 1 -1 4 0 -1 -1] [ 0 -1 0 0 1 0 -1 -1 0 0 1 -1 -1 1 -1 0 -1 -1 0 4 0 0] [-1 0 -1 0 -1 1 0 1 1 1 -1 -1 -1 -1 -1 0 -1 1 -1 0 4 0] [ 0 1 2 0 0 1 2 0 1 1 0 0 0 0 0 0 0 1 -1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1054. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 2 -1 -1 1 1 1 2 -1 2 1 -2 -2 -1 1 0 1] [ 1 4 0 0 2 0 0 1 0 2 -1 0 0 -1 1 1 1 0 -1 2 -1 -1] [-1 0 4 0 -1 0 0 1 0 1 1 1 0 -1 -2 0 -1 2 -1 1 1 0] [-1 0 0 4 -2 -2 -1 -1 1 0 0 1 -1 0 0 0 1 2 0 0 0 0] [ 2 2 -1 -2 6 1 2 0 -2 0 0 0 2 -1 1 2 1 -3 -1 0 0 1] [ 1 0 0 -2 1 4 2 -1 -1 0 -1 0 1 1 0 0 -2 -1 0 0 0 -1] [ 2 0 0 -1 2 2 4 -2 -2 0 1 0 2 -1 0 0 -1 -2 0 0 0 1] [-1 1 1 -1 0 -1 -2 4 0 0 0 -1 -1 0 -1 1 1 1 -1 1 0 -1] [-1 0 0 1 -2 -1 -2 0 4 0 -1 1 -1 0 1 0 -1 2 0 -1 1 0] [ 1 2 1 0 0 0 0 0 0 4 -1 0 1 0 1 -1 -1 1 0 2 0 -1] [ 1 -1 1 0 0 -1 1 0 -1 -1 4 0 0 -2 0 0 0 0 0 0 1 2] [ 1 0 1 1 0 0 0 -1 1 0 0 4 0 0 0 1 -1 0 -2 0 0 1] [ 2 0 0 -1 2 1 2 -1 -1 1 0 0 4 -1 1 0 -2 -2 -1 0 1 1] [-1 -1 -1 0 -1 1 -1 0 0 0 -2 0 -1 4 -1 -1 0 1 1 0 0 -2] [ 2 1 -2 0 1 0 0 -1 1 1 0 0 1 -1 4 0 -1 -1 0 0 0 1] [ 1 1 0 0 2 0 0 1 0 -1 0 1 0 -1 0 4 0 0 -1 0 0 1] [-2 1 -1 1 1 -2 -1 1 -1 -1 0 -1 -2 0 -1 0 6 -1 1 0 -2 0] [-2 0 2 2 -3 -1 -2 1 2 1 0 0 -2 1 -1 0 -1 6 1 1 2 -1] [-1 -1 -1 0 -1 0 0 -1 0 0 0 -2 -1 1 0 -1 1 1 4 -1 0 0] [ 1 2 1 0 0 0 0 1 -1 2 0 0 0 0 0 0 0 1 -1 4 0 -1] [ 0 -1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 -2 2 0 0 4 0] [ 1 -1 0 0 1 -1 1 -1 0 -1 2 1 1 -2 1 1 0 -1 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1055. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 -1 0 0 -2 1 -1 1 0 -1 0 1 -2 -1 1 2 0 1] [-2 4 2 1 -1 -1 0 1 2 -2 -1 -1 -1 0 -1 -1 2 0 -1 -1 1 1] [-2 2 4 1 0 -1 -1 0 2 -1 0 -1 1 1 -1 0 2 -1 0 -2 0 1] [ 0 1 1 4 -1 0 0 0 1 1 0 1 0 -1 1 -1 2 -2 0 -1 0 -1] [ 1 -1 0 -1 4 -1 0 1 0 -1 -1 0 -1 -1 0 1 -2 1 2 1 1 0] [-1 -1 -1 0 -1 6 -1 -2 -1 1 3 2 -1 -1 1 1 2 0 -2 -2 -2 -1] [ 0 0 -1 0 0 -1 4 1 0 -1 0 0 0 1 -1 -1 -1 1 1 0 1 -2] [ 0 1 0 0 1 -2 1 4 0 -1 -2 0 -1 0 1 -1 -2 1 0 2 1 -1] [-2 2 2 1 0 -1 0 0 4 0 0 -2 0 1 -1 0 1 0 0 -1 0 1] [ 1 -2 -1 1 -1 1 -1 -1 0 4 1 0 1 0 1 1 0 -1 0 1 -2 0] [-1 -1 0 0 -1 3 0 -2 0 1 4 0 1 1 0 1 1 0 -1 -1 -1 0] [ 1 -1 -1 1 0 2 0 0 -2 0 0 4 0 -2 2 0 1 0 0 -1 0 -2] [ 0 -1 1 0 -1 -1 0 -1 0 1 1 0 4 2 0 1 0 0 0 0 -1 0] [-1 0 1 -1 -1 -1 1 0 1 0 1 -2 2 4 -1 0 -1 0 0 0 -1 1] [ 0 -1 -1 1 0 1 -1 1 -1 1 0 2 0 -1 4 -1 0 0 0 1 0 -2] [ 1 -1 0 -1 1 1 -1 -1 0 1 1 0 1 0 -1 4 -1 0 0 1 -1 2] [-2 2 2 2 -2 2 -1 -2 1 0 1 1 0 -1 0 -1 6 -1 -1 -4 0 -1] [-1 0 -1 -2 1 0 1 1 0 -1 0 0 0 0 0 0 -1 4 0 1 1 -1] [ 1 -1 0 0 2 -2 1 0 0 0 -1 0 0 0 0 0 -1 0 4 0 1 0] [ 2 -1 -2 -1 1 -2 0 2 -1 1 -1 -1 0 0 1 1 -4 1 0 6 1 1] [ 0 1 0 0 1 -2 1 1 0 -2 -1 0 -1 -1 0 -1 0 1 1 1 4 -1] [ 1 1 1 -1 0 -1 -2 -1 1 0 0 -2 0 1 -2 2 -1 -1 0 1 -1 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1056. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 1 -1 1 1 1 0 1 -2 -1 1 -1 0 -1 0 0 1 2] [ 1 4 1 -1 -2 -1 -1 2 0 0 1 1 0 -1 1 -1 -1 -2 1 0 0 1] [-1 1 4 0 0 -1 0 0 -1 -1 1 1 2 0 1 0 1 0 0 1 -1 -1] [ 1 -1 0 4 -1 0 -1 -2 -1 -1 1 1 1 -1 1 1 -1 -1 -2 1 0 0] [-1 -2 0 -1 4 0 0 0 0 0 -1 0 -1 0 -1 1 1 2 0 0 -1 0] [ 1 -1 -1 0 0 4 -1 1 0 0 -1 0 -2 -1 -1 -1 2 1 1 0 0 1] [-1 -1 0 -1 0 -1 4 -1 0 1 0 -2 0 2 -1 -1 0 1 -1 0 0 -1] [ 1 2 0 -2 0 1 -1 4 1 1 -1 1 -2 -1 0 -1 0 -1 2 -1 0 2] [ 1 0 -1 -1 0 0 0 1 4 2 0 -1 -2 1 1 -1 0 0 1 -2 0 1] [ 1 0 -1 -1 0 0 1 1 2 4 0 -1 -2 0 1 0 0 0 1 0 1 1] [ 0 1 1 1 -1 -1 0 -1 0 0 4 -1 1 0 1 0 0 0 0 0 0 0] [ 1 1 1 1 0 0 -2 1 -1 -1 -1 4 1 -2 0 0 0 -1 0 0 -1 0] [-2 0 2 1 -1 -2 0 -2 -2 -2 1 1 6 0 1 1 0 -1 0 1 0 -2] [-1 -1 0 -1 0 -1 2 -1 1 0 0 -2 0 4 -1 0 0 1 -1 -1 1 -1] [ 1 1 1 1 -1 -1 -1 0 1 1 1 0 1 -1 4 0 -1 -2 1 1 0 1] [-1 -1 0 1 1 -1 -1 -1 -1 0 0 0 1 0 0 4 0 0 -1 1 1 0] [ 0 -1 1 -1 1 2 0 0 0 0 0 0 0 0 -1 0 4 2 1 0 0 0] [-1 -2 0 -1 2 1 1 -1 0 0 0 -1 -1 1 -2 0 2 4 0 0 0 -1] [ 0 1 0 -2 0 1 -1 2 1 1 0 0 0 -1 1 -1 1 0 4 -1 0 1] [ 0 0 1 1 0 0 0 -1 -2 0 0 0 1 -1 1 1 0 0 -1 4 1 0] [ 1 0 -1 0 -1 0 0 0 0 1 0 -1 0 1 0 1 0 0 0 1 4 0] [ 2 1 -1 0 0 1 -1 2 1 1 0 0 -2 -1 1 0 0 -1 1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1057. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 2 -1 -2 0 1 2 -2 -2 2 1 0 0 -1 -2 0 0 0 0] [-1 4 0 0 0 2 1 1 1 0 1 1 0 -1 1 -1 -1 0 0 1 0 1] [-2 0 4 -2 -1 -1 1 0 -1 -2 1 1 -2 1 0 -1 1 2 0 0 -1 1] [ 2 0 -2 4 0 -1 -2 1 0 2 -1 0 2 1 -1 0 -2 -2 0 1 0 0] [ 2 0 -1 0 6 -1 -2 -1 3 0 -3 -3 3 0 2 -1 1 0 -2 -1 0 -1] [-1 2 -1 -1 -1 6 3 1 1 -1 1 1 0 0 0 2 1 1 1 1 1 1] [-2 1 1 -2 -2 3 6 2 -1 -2 2 2 0 0 0 1 2 2 2 -1 2 2] [ 0 1 0 1 -1 1 2 4 0 0 1 0 0 1 0 1 -1 0 0 1 0 2] [ 1 1 -1 0 3 1 -1 0 4 0 -2 -2 2 0 1 0 0 0 -1 0 -1 0] [ 2 0 -2 2 0 -1 -2 0 0 4 0 -1 0 -1 -1 0 -2 -2 -1 0 0 0] [-2 1 1 -1 -3 1 2 1 -2 0 4 2 -2 -1 -1 0 0 0 0 1 1 1] [-2 1 1 0 -3 1 2 0 -2 -1 2 4 -1 0 -1 0 0 0 2 0 1 1] [ 2 0 -2 2 3 0 0 0 2 0 -2 -1 6 1 1 -1 1 0 0 0 1 -1] [ 1 -1 1 1 0 0 0 1 0 -1 -1 0 1 4 -1 0 0 0 1 1 0 1] [ 0 1 0 -1 2 0 0 0 1 -1 -1 -1 1 -1 4 0 1 1 -1 0 -1 -1] [ 0 -1 -1 0 -1 2 1 1 0 0 0 0 -1 0 0 4 1 0 0 0 0 1] [-1 -1 1 -2 1 1 2 -1 0 -2 0 0 1 0 1 1 4 2 0 -1 1 0] [-2 0 2 -2 0 1 2 0 0 -2 0 0 0 0 1 0 2 4 0 0 0 0] [ 0 0 0 0 -2 1 2 0 -1 -1 0 2 0 1 -1 0 0 0 4 -1 1 1] [ 0 1 0 1 -1 1 -1 1 0 0 1 0 0 1 0 0 -1 0 -1 4 0 0] [ 0 0 -1 0 0 1 2 0 -1 0 1 1 1 0 -1 0 1 0 1 0 4 0] [ 0 1 1 0 -1 1 2 2 0 0 1 1 -1 1 -1 1 0 0 1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1058. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 0 -1 1 0 2 0 -2 -1 -2 1 -1 -1 -1 1 0 2 -2] [-2 4 -2 1 -2 0 1 1 -1 -2 0 0 2 0 0 1 2 0 -1 0 -1 1] [ 2 -2 4 1 0 1 0 -1 1 2 -1 0 -2 -2 1 -2 -2 -1 2 0 0 0] [ 0 1 1 4 -2 0 0 -1 0 1 0 -1 -1 0 -1 -2 -1 -2 1 0 -2 2] [ 1 -2 0 -2 6 -2 1 0 1 0 2 -2 0 -1 2 2 -1 2 0 1 3 -3] [ 0 0 1 0 -2 4 1 1 -1 0 0 0 0 0 0 -1 1 0 1 -1 -1 1] [-1 1 0 0 1 1 6 0 -1 -1 1 -1 2 -2 1 1 0 0 1 2 -1 -2] [ 1 1 -1 -1 0 1 0 6 0 -1 2 -3 0 1 1 1 2 0 -2 1 0 0] [ 0 -1 1 0 1 -1 -1 0 4 0 0 1 -1 1 1 1 -1 1 0 0 -1 1] [ 2 -2 2 1 0 0 -1 -1 0 4 0 -1 -2 -1 -1 -2 -2 -1 2 0 0 0] [ 0 0 -1 0 2 0 1 2 0 0 4 -2 0 0 1 1 0 1 -1 1 0 0] [-2 0 0 -1 -2 0 -1 -3 1 -1 -2 6 1 1 0 0 0 1 0 -1 -1 1] [-1 2 -2 -1 0 0 2 0 -1 -2 0 1 4 0 1 2 2 1 0 0 1 -1] [-2 0 -2 0 -1 0 -2 1 1 -1 0 1 0 6 -2 0 1 1 -1 0 -2 3] [ 1 0 1 -1 2 0 1 1 1 -1 1 0 1 -2 4 1 0 1 0 0 2 -1] [-1 1 -2 -2 2 -1 1 1 1 -2 1 0 2 0 1 4 1 2 -1 0 1 -1] [-1 2 -2 -1 -1 1 0 2 -1 -2 0 0 2 1 0 1 4 1 -1 -1 0 0] [-1 0 -1 -2 2 0 0 0 1 -1 1 1 1 1 1 2 1 4 0 0 1 0] [ 1 -1 2 1 0 1 1 -2 0 2 -1 0 0 -1 0 -1 -1 0 4 -1 0 0] [ 0 0 0 0 1 -1 2 1 0 0 1 -1 0 0 0 0 -1 0 -1 4 0 -1] [ 2 -1 0 -2 3 -1 -1 0 -1 0 0 -1 1 -2 2 1 0 1 0 0 6 -3] [-2 1 0 2 -3 1 -2 0 1 0 0 1 -1 3 -1 -1 0 0 0 -1 -3 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1059. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 0 0 -2 -2 -1 -2 -2 -1 1 1 -2 1 2 1 -1 0 0 1] [ 0 4 -1 -1 0 -1 1 0 -2 -1 1 1 1 1 0 -2 0 2 -1 -1 0 -1] [ 1 -1 4 -1 -1 -1 0 -1 1 1 0 -1 1 1 -2 2 -1 1 0 -1 0 -1] [ 1 -1 -1 6 2 1 0 2 -1 -2 0 -2 -2 -2 1 2 0 -1 1 1 -2 0] [ 0 0 -1 2 4 -1 0 0 -2 -2 0 0 0 0 2 1 0 1 -1 2 -1 0] [ 0 -1 -1 1 -1 4 -1 2 1 0 -1 0 -2 -2 -1 1 1 -2 1 1 0 2] [-2 1 0 0 0 -1 4 2 -1 0 2 1 -1 0 1 0 -2 0 0 -1 0 -1] [-2 0 -1 2 0 2 2 6 1 1 1 0 -2 -3 1 0 -2 -1 1 -1 -2 0] [-1 -2 1 -1 -2 1 -1 1 6 2 0 -2 1 -1 0 -1 0 -1 0 -2 1 0] [-2 -1 1 -2 -2 0 0 1 2 6 0 1 0 0 0 -2 -1 0 2 0 -1 -1] [-2 1 0 0 0 -1 2 1 0 0 4 1 0 -1 1 0 -2 0 1 -2 0 -1] [-1 1 -1 -2 0 0 1 0 -2 1 1 4 0 0 0 -1 0 0 0 0 0 1] [ 1 1 1 -2 0 -2 -1 -2 1 0 0 0 4 2 0 -1 1 2 -2 -2 1 -1] [ 1 1 1 -2 0 -2 0 -3 -1 0 -1 0 2 4 0 -1 1 2 -1 0 1 -1] [-2 0 -2 1 2 -1 1 1 0 0 1 0 0 0 4 -1 -1 0 0 0 0 -1] [ 1 -2 2 2 1 1 0 0 -1 -2 0 -1 -1 -1 -1 6 0 -1 0 1 0 1] [ 2 0 -1 0 0 1 -2 -2 0 -1 -2 0 1 1 -1 0 4 0 -1 1 1 2] [ 1 2 1 -1 1 -2 0 -1 -1 0 0 0 2 2 0 -1 0 4 -1 0 0 -1] [-1 -1 0 1 -1 1 0 1 0 2 1 0 -2 -1 0 0 -1 -1 4 0 -1 0] [ 0 -1 -1 1 2 1 -1 -1 -2 0 -2 0 -2 0 0 1 1 0 0 6 0 1] [ 0 0 0 -2 -1 0 0 -2 1 -1 0 0 1 1 0 0 1 0 -1 0 4 0] [ 1 -1 -1 0 0 2 -1 0 0 -1 -1 1 -1 -1 -1 1 2 -1 0 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1060. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 -2 -1 -1 -2 0 1 1 -1 1 -1 -2 -2 0 -2 0 1 1] [ 0 4 -1 -2 -2 -1 1 0 0 -1 -1 2 0 0 1 1 0 2 -1 0 2 1] [ 1 -1 6 -2 1 0 -2 -1 -1 -1 0 2 -1 -2 -2 2 -3 -1 -1 1 2 0] [ 0 -2 -2 6 2 2 2 1 0 3 1 -2 0 2 1 -3 3 -2 2 0 -2 0] [ 0 -2 1 2 4 2 1 -1 -1 2 0 -2 1 0 0 0 0 -2 1 -1 -2 0] [-2 -1 0 2 2 4 2 1 1 2 -1 -2 0 -1 0 1 2 -2 2 0 -2 0] [-1 1 -2 2 1 2 6 2 0 1 1 0 1 1 2 1 1 -1 1 -2 0 2] [-1 0 -1 1 -1 1 2 4 0 0 1 0 -1 1 0 1 0 0 1 1 0 0] [-2 0 -1 0 -1 1 0 0 4 -1 0 -1 1 -1 0 0 1 0 0 0 -1 0] [ 0 -1 -1 3 2 2 1 0 -1 4 0 -2 0 1 0 -1 2 -2 2 0 -2 0] [ 1 -1 0 1 0 -1 1 1 0 0 4 0 1 2 0 0 -2 -1 0 0 0 0] [ 1 2 2 -2 -2 -2 0 0 -1 -2 0 6 -2 0 -1 1 -1 2 -1 1 3 0] [-1 0 -1 0 1 0 1 -1 1 0 1 -2 4 0 2 0 0 0 0 -1 0 1] [ 1 0 -2 2 0 -1 1 1 -1 1 2 0 0 4 0 -1 0 0 0 0 0 0] [-1 1 -2 1 0 0 2 0 0 0 0 -1 2 0 4 -1 1 0 1 -1 0 1] [-2 1 2 -3 0 1 1 1 0 -1 0 1 0 -1 -1 6 -1 0 0 0 1 0] [-2 0 -3 3 0 2 1 0 1 2 -2 -1 0 0 1 -1 6 0 2 0 -1 0] [ 0 2 -1 -2 -2 -2 -1 0 0 -2 -1 2 0 0 0 0 0 4 -1 1 2 0] [-2 -1 -1 2 1 2 1 1 0 2 0 -1 0 0 1 0 2 -1 4 0 -2 -1] [ 0 0 1 0 -1 0 -2 1 0 0 0 1 -1 0 -1 0 0 1 0 4 1 -1] [ 1 2 2 -2 -2 -2 0 0 -1 -2 0 3 0 0 0 1 -1 2 -2 1 6 1] [ 1 1 0 0 0 0 2 0 0 0 0 0 1 0 1 0 0 0 -1 -1 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1061. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -2 -1 2 0 0 0 2 1 0 1 -1 -1 0 2 -2 0 0 1] [-2 4 1 -1 2 -1 0 0 1 0 -1 1 -1 -1 0 0 1 0 2 0 0 0] [ 0 1 4 1 1 -2 1 1 -1 0 1 0 1 0 0 -1 0 1 -1 1 1 1] [ 1 -1 1 4 -1 -1 -1 -1 -1 -1 0 0 1 2 -1 -1 0 -1 0 1 1 0] [-2 2 1 -1 4 0 -1 1 1 0 -1 0 0 -2 0 1 -1 0 1 1 1 -1] [-1 -1 -2 -1 0 6 -2 1 1 2 -2 -2 2 1 -1 0 -2 -2 0 0 0 -1] [ 2 0 1 -1 -1 -2 6 -1 1 -1 1 0 0 0 -1 1 2 4 -1 -2 -2 1] [ 0 0 1 -1 1 1 -1 4 -1 2 1 -1 1 -1 1 0 -2 1 -1 1 2 1] [ 0 1 -1 -1 1 1 1 -1 4 -1 -1 1 0 -1 -1 0 0 0 0 0 -1 0] [ 0 0 0 -1 0 2 -1 2 -1 4 1 -1 0 0 1 0 -2 -1 0 1 1 1] [ 2 -1 1 0 -1 -2 1 1 -1 1 4 0 0 0 1 0 0 1 -1 0 1 1] [ 1 1 0 0 0 -2 0 -1 1 -1 0 4 -2 -1 0 -1 1 0 0 1 0 1] [ 0 -1 1 1 0 2 0 1 0 0 0 -2 4 1 -1 0 -1 0 -1 0 1 0] [ 1 -1 0 2 -2 1 0 -1 -1 0 0 -1 1 4 -1 -1 1 -1 0 -1 0 -1] [-1 0 0 -1 0 -1 -1 1 -1 1 1 0 -1 -1 4 1 0 0 0 0 1 1] [-1 0 -1 -1 1 0 1 0 0 0 0 -1 0 -1 1 4 1 1 1 -1 0 0] [ 0 1 0 0 -1 -2 2 -2 0 -2 0 1 -1 1 0 1 4 1 1 -2 -1 0] [ 2 0 1 -1 0 -2 4 1 0 -1 1 0 0 -1 0 1 1 6 -1 -1 0 1] [-2 2 -1 0 1 0 -1 -1 0 0 -1 0 -1 0 0 1 1 -1 4 -1 0 -1] [ 0 0 1 1 1 0 -2 1 0 1 0 1 0 -1 0 -1 -2 -1 -1 4 2 1] [ 0 0 1 1 1 0 -2 2 -1 1 1 0 1 0 1 0 -1 0 0 2 4 0] [ 1 0 1 0 -1 -1 1 1 0 1 1 1 0 -1 1 0 0 1 -1 1 0 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1062. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 0 -2 1 1 0 1 -1 1 -2 1 0 -1 -1 1 -1 1 0 2] [-2 4 -2 -1 1 1 0 -1 1 -2 1 -2 2 0 0 0 2 0 -1 0 0 0] [ 2 -2 4 0 -1 -2 0 0 -1 2 -1 1 -2 0 -1 1 0 0 1 1 -1 1] [ 1 -1 0 4 1 0 -1 0 0 1 0 2 0 1 0 -2 -1 1 0 -1 0 0] [ 0 1 -1 1 4 1 1 -1 -1 -2 -1 1 1 2 -1 -2 1 2 -1 -1 1 0] [-2 1 -2 0 1 4 -1 0 -1 0 1 0 2 0 1 0 1 1 1 -1 0 -2] [ 1 0 0 -1 1 -1 4 1 1 -2 0 1 0 1 0 -1 0 0 -1 0 0 0] [ 1 -1 0 0 -1 0 1 4 1 1 1 0 0 -1 2 1 -2 -1 1 1 -1 -1] [ 0 1 -1 0 -1 -1 1 1 4 0 1 0 0 -1 1 0 0 -2 -1 1 -1 1] [ 1 -2 2 1 -2 0 -2 1 0 6 0 2 -2 -1 0 1 -1 -1 1 0 0 -1] [-1 1 -1 0 -1 1 0 1 1 0 4 0 1 0 0 1 1 0 1 1 0 -2] [ 1 -2 1 2 1 0 1 0 0 2 0 6 -2 2 0 -1 0 1 1 -1 0 -2] [-2 2 -2 0 1 2 0 0 0 -2 1 -2 4 -1 0 0 0 0 0 0 0 0] [ 1 0 0 1 2 0 1 -1 -1 -1 0 2 -1 4 -1 -2 1 2 -1 -1 1 0] [ 0 0 -1 0 -1 1 0 2 1 0 0 0 0 -1 4 0 -1 -1 1 0 -1 -1] [-1 0 1 -2 -2 0 -1 1 0 1 1 -1 0 -2 0 4 0 -1 2 2 -1 -1] [-1 2 0 -1 1 1 0 -2 0 -1 1 0 0 1 -1 0 4 1 0 0 0 0] [ 1 0 0 1 2 1 0 -1 -2 -1 0 1 0 2 -1 -1 1 4 0 0 1 0] [-1 -1 1 0 -1 1 -1 1 -1 1 1 1 0 -1 1 2 0 0 4 0 -1 -2] [ 1 0 1 -1 -1 -1 0 1 1 0 1 -1 0 -1 0 2 0 0 0 4 0 1] [ 0 0 -1 0 1 0 0 -1 -1 0 0 0 0 1 -1 -1 0 1 -1 0 4 -1] [ 2 0 1 0 0 -2 0 -1 1 -1 -2 -2 0 0 -1 -1 0 0 -2 1 -1 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1063. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 0 -2 1 -1 1 1 0 0 0 -1 2 0 -1 0 0 -2 0] [-2 6 2 -2 -2 2 2 -2 0 -2 -3 1 0 0 -1 -1 -2 -2 -2 -2 0 2] [ 0 2 4 -2 -1 2 0 0 1 0 0 0 0 0 -1 0 -1 0 -2 -2 1 1] [ 0 -2 -2 4 2 -2 0 -1 -1 0 0 -1 1 1 1 0 1 0 2 2 1 0] [-1 -2 -1 2 4 -2 1 0 1 0 1 0 0 0 1 -1 2 1 2 1 1 -1] [ 0 2 2 -2 -2 4 0 0 1 1 0 1 -1 1 -1 0 -1 0 -2 -2 0 0] [-2 2 0 0 1 0 4 0 1 0 -2 1 -1 1 0 -2 -1 -1 -1 -1 0 1] [ 1 -2 0 -1 0 0 0 4 0 2 1 1 0 -1 -1 0 0 1 -1 0 0 0] [-1 0 1 -1 1 1 1 0 4 0 1 1 -2 0 1 -1 1 1 0 -1 1 -1] [ 1 -2 0 0 0 1 0 2 0 4 1 1 0 0 -1 0 0 1 -1 0 -1 0] [ 1 -3 0 0 1 0 -2 1 1 1 4 -1 -1 -1 0 0 1 2 1 1 0 -1] [ 0 1 0 -1 0 1 1 1 1 1 -1 4 -1 0 0 0 0 -1 -1 -1 -1 0] [ 0 0 0 1 0 -1 -1 0 -2 0 -1 -1 4 0 -1 1 0 0 0 1 1 1] [ 0 0 0 1 0 1 1 -1 0 0 -1 0 0 4 1 0 -1 -1 0 -1 0 0] [-1 -1 -1 1 1 -1 0 -1 1 -1 0 0 -1 1 4 -1 1 1 2 0 0 -1] [ 2 -1 0 0 -1 0 -2 0 -1 0 0 0 1 0 -1 4 1 -1 0 1 -1 0] [ 0 -2 -1 1 2 -1 -1 0 1 0 1 0 0 -1 1 1 4 1 2 1 0 -2] [-1 -2 0 0 1 0 -1 1 1 1 2 -1 0 -1 1 -1 1 4 1 1 2 -1] [ 0 -2 -2 2 2 -2 -1 -1 0 -1 1 -1 0 0 2 0 2 1 4 1 0 -1] [ 0 -2 -2 2 1 -2 -1 0 -1 0 1 -1 1 -1 0 1 1 1 1 4 1 0] [-2 0 1 1 1 0 0 0 1 -1 0 -1 1 0 0 -1 0 2 0 1 6 -1] [ 0 2 1 0 -1 0 1 0 -1 0 -1 0 1 0 -1 0 -2 -1 -1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1064. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 -1 -1 2 0 1 2 0 0 -1 0 1 2 0 0 1 1 1 1 1] [ 1 4 -2 -1 -2 -1 -1 -1 1 -1 1 0 0 -1 -1 0 1 -1 0 0 1 0] [-2 -2 6 -1 3 0 2 1 -1 2 0 -1 2 1 1 -2 1 1 -2 0 -1 0] [-1 -1 -1 4 0 1 -1 0 0 -1 1 2 0 0 -2 0 -2 0 1 1 -1 1] [-1 -2 3 0 4 0 1 1 -1 1 -1 0 1 1 1 0 0 1 -1 0 0 1] [ 2 -1 0 1 0 6 2 3 3 2 0 0 0 3 1 -1 -2 3 1 0 -1 1] [ 0 -1 2 -1 1 2 4 1 1 2 -1 0 1 2 2 0 1 2 0 0 -1 -1] [ 1 -1 1 0 1 3 1 4 1 2 0 -1 1 2 0 0 -1 2 1 0 -1 1] [ 2 1 -1 0 -1 3 1 1 4 1 0 0 0 1 0 0 0 2 0 0 0 0] [ 0 -1 2 -1 1 2 2 2 1 4 -1 0 0 1 0 0 1 2 -1 0 0 -1] [ 0 1 0 1 -1 0 -1 0 0 -1 4 -1 1 0 -1 -1 0 0 1 0 0 1] [-1 0 -1 2 0 0 0 -1 0 0 -1 4 0 -1 -2 0 0 0 0 0 -1 -1] [ 0 0 2 0 1 0 1 1 0 0 1 0 4 0 1 -1 1 0 1 1 -1 1] [ 1 -1 1 0 1 3 2 2 1 1 0 -1 0 4 1 0 -1 2 0 0 0 1] [ 2 -1 1 -2 1 1 2 0 0 0 -1 -2 1 1 6 -1 0 0 1 1 0 1] [ 0 0 -2 0 0 -1 0 0 0 0 -1 0 -1 0 -1 4 1 0 0 0 1 0] [ 0 1 1 -2 0 -2 1 -1 0 1 0 0 1 -1 0 1 4 0 -1 0 1 -1] [ 1 -1 1 0 1 3 2 2 2 2 0 0 0 2 0 0 0 4 0 0 0 0] [ 1 0 -2 1 -1 1 0 1 0 -1 1 0 1 0 1 0 -1 0 4 0 -1 1] [ 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 4 1 1] [ 1 1 -1 -1 0 -1 -1 -1 0 0 0 -1 -1 0 0 1 1 0 -1 1 4 0] [ 1 0 0 1 1 1 -1 1 0 -1 1 -1 1 1 1 0 -1 0 1 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1065. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 1 1 1 -1 2 1 1 2 -2 -1 2 -1 1 -2 0 0 1 1] [-2 4 1 -1 -1 0 -1 1 -1 -1 0 -1 0 1 0 0 0 0 0 0 0 1] [ 0 1 4 -1 1 -1 0 0 0 1 -1 0 0 0 2 -1 -1 -1 1 0 2 1] [ 1 -1 -1 4 0 -1 -1 1 -1 0 2 -1 0 1 -1 -1 2 -1 1 0 -1 -1] [ 1 -1 1 0 4 -1 2 -2 2 2 1 2 1 1 0 -1 -1 0 1 0 0 1] [ 1 0 -1 -1 -1 4 -1 -1 2 -1 0 0 0 -1 0 1 1 -1 0 1 -1 1] [ 1 -1 0 -1 2 -1 4 -2 2 2 0 2 0 -1 1 -1 -1 0 0 -1 1 0] [-1 1 0 1 -2 -1 -2 4 -2 -1 0 -2 -1 1 -1 1 0 0 0 -1 1 0] [ 2 -1 0 -1 2 2 2 -2 6 1 1 1 1 0 1 1 0 -1 0 -1 -1 2] [ 1 -1 1 0 2 -1 2 -1 1 4 -1 1 -1 0 0 -2 -1 0 0 0 1 0] [ 1 0 -1 2 1 0 0 0 1 -1 4 0 0 1 -1 0 2 -1 1 -1 -1 1] [ 2 -1 0 -1 2 0 2 -2 1 1 0 4 -1 -1 2 -1 -1 0 0 0 1 1] [-2 0 0 0 1 0 0 -1 1 -1 0 -1 6 0 -2 1 0 1 2 1 -1 0] [-1 1 0 1 1 -1 -1 1 0 0 1 -1 0 4 -1 0 0 1 0 -1 -2 0] [ 2 0 2 -1 0 0 1 -1 1 0 -1 2 -2 -1 6 0 -1 -2 0 0 2 1] [-1 0 -1 -1 -1 1 -1 1 1 -2 0 -1 1 0 0 4 -1 0 0 0 0 1] [ 1 0 -1 2 -1 1 -1 0 0 -1 2 -1 0 0 -1 -1 4 -1 0 0 -1 0] [-2 0 -1 -1 0 -1 0 0 -1 0 -1 0 1 1 -2 0 -1 4 -1 0 -1 -1] [ 0 0 1 1 1 0 0 0 0 0 1 0 2 0 0 0 0 -1 4 0 1 1] [ 0 0 0 0 0 1 -1 -1 -1 0 -1 0 1 -1 0 0 0 0 0 4 1 0] [ 1 0 2 -1 0 -1 1 1 -1 1 -1 1 -1 -2 2 0 -1 -1 1 1 6 1] [ 1 1 1 -1 1 1 0 0 2 0 1 1 0 0 1 1 0 -1 1 0 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1066. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 0 1 -2 -1 1 -2 -2 -1 -2 -1 -1 -2 -1 2 2 0 0 -1] [-2 4 1 1 0 1 1 0 -1 1 2 0 2 1 0 2 0 -1 -2 -1 -1 1] [ 0 1 4 1 0 -1 1 -1 1 0 1 -1 -1 1 -2 0 -1 0 0 0 -1 0] [ 0 1 1 4 1 1 0 1 0 1 1 0 -1 1 1 2 -1 -1 -2 -2 0 1] [ 0 0 0 1 4 2 -1 2 -1 -1 0 0 1 -1 0 2 -1 -2 1 -2 0 0] [ 1 1 -1 1 2 6 -3 0 0 -1 0 0 2 -2 1 0 0 -1 -1 -1 -1 -1] [-2 1 1 0 -1 -3 6 2 -1 2 2 2 -2 2 0 2 2 -1 0 0 0 0] [-1 0 -1 1 2 0 2 6 -2 0 1 3 1 -1 0 3 0 -2 -1 0 -1 -1] [ 1 -1 1 0 -1 0 -1 -2 4 -1 -1 -1 -1 1 0 -3 1 0 1 0 1 0] [-2 1 0 1 -1 -1 2 0 -1 4 1 0 -1 1 2 2 1 -1 -2 -1 1 0] [-2 2 1 1 0 0 2 1 -1 1 4 2 1 0 0 2 0 -1 -1 -1 -1 1] [-1 0 -1 0 0 0 2 3 -1 0 2 4 1 -1 0 1 1 -1 -1 0 -1 0] [-2 2 -1 -1 1 2 -2 1 -1 -1 1 1 6 -1 0 1 0 -1 -2 0 -1 0] [-1 1 1 1 -1 -2 2 -1 1 1 0 -1 -1 4 1 0 1 0 0 -1 1 1] [-1 0 -2 1 0 1 0 0 0 2 0 0 0 1 4 1 1 -1 -1 -2 2 0] [-2 2 0 2 2 0 2 3 -3 2 2 1 1 0 1 6 0 -2 -2 -2 0 1] [-1 0 -1 -1 -1 0 2 0 1 1 0 1 0 1 1 0 4 -1 0 0 1 0] [ 2 -1 0 -1 -2 -1 -1 -2 0 -1 -1 -1 -1 0 -1 -2 -1 4 1 2 0 0] [ 2 -2 0 -2 1 -1 0 -1 1 -2 -1 -1 -2 0 -1 -2 0 1 6 -1 1 0] [ 0 -1 0 -2 -2 -1 0 0 0 -1 -1 0 0 -1 -2 -2 0 2 -1 6 -1 -1] [ 0 -1 -1 0 0 -1 0 -1 1 1 -1 -1 -1 1 2 0 1 0 1 -1 4 0] [-1 1 0 1 0 -1 0 -1 0 0 1 0 0 1 0 1 0 0 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1067. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 -2 1 2 1 0 1 1 2 -2 -2 1 2 -1 1 1 0 0 1 -2] [-2 4 1 0 -2 -2 -1 0 -1 -1 -1 2 1 -2 -1 0 0 -1 -1 0 -1 1] [ 1 1 6 -3 -2 0 0 -1 1 -2 0 2 0 -1 1 2 2 -1 1 2 1 -1] [-2 0 -3 8 -2 -1 1 -2 -3 0 -2 -1 -2 -1 -1 -3 -3 -2 0 1 -3 4] [ 1 -2 -2 -2 6 2 1 3 0 0 0 0 1 2 0 -1 1 1 1 -1 1 0] [ 2 -2 0 -1 2 4 2 1 0 1 0 0 -1 2 0 0 1 0 1 0 1 0] [ 1 -1 0 1 1 2 4 -1 0 -1 0 0 -2 1 0 0 -1 0 2 0 -1 0] [ 0 0 -1 -2 3 1 -1 4 -1 0 0 1 2 1 0 0 1 0 -1 -1 1 1] [ 1 -1 1 -3 0 0 0 -1 4 1 2 0 0 1 0 2 1 1 0 0 1 -3] [ 1 -1 -2 0 0 1 -1 0 1 4 1 -2 -1 1 0 -1 0 1 -1 0 1 -1] [ 2 -1 0 -2 0 0 0 0 2 1 4 -2 -1 1 2 0 0 1 -1 -1 1 -3] [-2 2 2 -1 0 0 0 1 0 -2 -2 6 3 0 -1 1 1 -1 1 1 0 2] [-2 1 0 -2 1 -1 -2 2 0 -1 -1 3 6 -1 0 1 2 1 0 -1 0 1] [ 1 -2 -1 -1 2 2 1 1 1 1 1 0 -1 4 0 0 0 1 1 -1 1 -1] [ 2 -1 1 -1 0 0 0 0 0 0 2 -1 0 0 4 -1 0 1 0 0 1 -1] [-1 0 2 -3 -1 0 0 0 2 -1 0 1 1 0 -1 6 1 0 0 0 1 -1] [ 1 0 2 -3 1 1 -1 1 1 0 0 1 2 0 0 1 4 0 0 0 1 0] [ 1 -1 -1 -2 1 0 0 0 1 1 1 -1 1 1 1 0 0 4 1 -1 1 -2] [ 0 -1 1 0 1 1 2 -1 0 -1 -1 1 0 1 0 0 0 1 4 0 0 0] [ 0 0 2 1 -1 0 0 -1 0 0 -1 1 -1 -1 0 0 0 -1 0 4 1 1] [ 1 -1 1 -3 1 1 -1 1 1 1 1 0 0 1 1 1 1 1 0 1 4 -2] [-2 1 -1 4 0 0 0 1 -3 -1 -3 2 1 -1 -1 -1 0 -2 0 1 -2 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1068. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 0 1 -1 1 0 2 2 -1 0 2 1 -1 2 0 2 -2 -1 0] [-2 4 0 -1 0 -1 -1 -1 1 -1 0 1 1 -2 -1 0 -1 1 0 2 -1 1] [ 1 0 6 2 0 1 -2 1 -1 1 -1 0 2 3 1 -3 -1 2 -2 1 2 2] [ 2 -1 2 6 2 2 1 1 -1 -1 1 -2 -1 1 2 1 1 -1 -1 -1 1 2] [ 0 0 0 2 4 -1 2 -1 -1 -1 0 -2 -2 1 0 1 -1 0 1 0 -1 1] [ 1 -1 1 2 -1 4 -1 2 -1 1 0 1 1 1 2 0 1 0 -2 -1 1 1] [-1 -1 -2 1 2 -1 6 0 1 -1 -1 -2 -3 -2 0 3 0 -1 -1 0 0 0] [ 1 -1 1 1 -1 2 0 4 1 1 0 0 1 0 2 -1 2 1 -1 -1 2 1] [ 0 1 -1 -1 -1 -1 1 1 4 0 1 0 0 -2 0 1 1 0 0 1 0 0] [ 2 -1 1 -1 -1 1 -1 1 0 4 0 0 1 2 0 -2 1 1 1 -1 -1 0] [ 2 0 -1 1 0 0 -1 0 1 0 4 -1 0 0 1 1 2 0 2 -1 -2 0] [-1 1 0 -2 -2 1 -2 0 0 0 -1 4 1 0 -1 0 -1 0 -1 1 1 0] [ 0 1 2 -1 -2 1 -3 1 0 1 0 1 4 0 0 -3 0 2 -1 1 0 1] [ 2 -2 3 1 1 1 -2 0 -2 2 0 0 0 6 0 -1 0 1 0 -1 1 0] [ 1 -1 1 2 0 2 0 2 0 0 1 -1 0 0 4 0 1 0 -1 -1 1 1] [-1 0 -3 1 1 0 3 -1 1 -2 1 0 -3 -1 0 6 1 -2 -1 0 0 0] [ 2 -1 -1 1 -1 1 0 2 1 1 2 -1 0 0 1 1 4 0 1 -2 0 0] [ 0 1 2 -1 0 0 -1 1 0 1 0 0 2 1 0 -2 0 4 0 1 0 1] [ 2 0 -2 -1 1 -2 -1 -1 0 1 2 -1 -1 0 -1 -1 1 0 6 -2 -3 -1] [-2 2 1 -1 0 -1 0 -1 1 -1 -1 1 1 -1 -1 0 -2 1 -2 4 1 1] [-1 -1 2 1 -1 1 0 2 0 -1 -2 1 0 1 1 0 0 0 -3 1 6 0] [ 0 1 2 2 1 1 0 1 0 0 0 0 1 0 1 0 0 1 -1 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1069. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -1 0 1 -1 -2 -2 -2 0 1 1 2 0 -1 0 0 -2 2 1] [ 0 4 -1 -1 2 0 1 0 2 1 1 2 -1 1 1 1 -2 2 -1 1 -1 -1] [ 1 -1 4 0 -1 1 0 0 0 0 -2 0 2 0 1 1 1 -1 1 0 2 -1] [ 2 -1 0 4 -2 0 1 0 -3 -2 -1 0 0 1 1 -1 0 0 1 -2 1 2] [-1 2 -1 -2 6 -2 1 -2 4 1 0 -1 0 1 -2 1 -3 1 1 1 -3 -1] [ 0 0 1 0 -2 4 -1 2 -1 0 0 2 1 0 2 -1 0 0 0 0 1 0] [ 1 1 0 1 1 -1 4 -1 0 -1 0 0 1 2 -1 -1 0 0 -1 -1 1 0] [-1 0 0 0 -2 2 -1 4 0 0 0 1 0 0 0 -1 1 -1 -1 1 1 1] [-2 2 0 -3 4 -1 0 0 6 1 0 0 0 1 -1 1 -2 1 0 2 -2 -1] [-2 1 0 -2 1 0 -1 0 1 4 2 0 0 -2 0 2 1 0 0 2 -2 -2] [-2 1 -2 -1 0 0 0 0 0 2 4 1 -1 -1 -1 0 1 1 -1 1 -1 -1] [ 0 2 0 0 -1 2 0 1 0 0 1 4 -1 0 1 0 0 2 -1 1 0 0] [ 1 -1 2 0 0 1 1 0 0 0 -1 -1 4 0 1 -1 0 -1 0 -1 2 0] [ 1 1 0 1 1 0 2 0 1 -2 -1 0 0 4 0 -1 -2 0 0 -1 1 1] [ 2 1 1 1 -2 2 -1 0 -1 0 -1 1 1 0 6 1 -2 1 0 -1 1 0] [ 0 1 1 -1 1 -1 -1 -1 1 2 0 0 -1 -1 1 4 0 0 1 1 -1 -2] [-1 -2 1 0 -3 0 0 1 -2 1 1 0 0 -2 -2 0 6 -1 -1 1 1 -1] [ 0 2 -1 0 1 0 0 -1 1 0 1 2 -1 0 1 0 -1 4 0 1 -1 0] [ 0 -1 1 1 1 0 -1 -1 0 0 -1 -1 0 0 0 1 -1 0 4 -1 -1 0] [-2 1 0 -2 1 0 -1 1 2 2 1 1 -1 -1 -1 1 1 1 -1 4 -1 -1] [ 2 -1 2 1 -3 1 1 1 -2 -2 -1 0 2 1 1 -1 1 -1 -1 -1 6 0] [ 1 -1 -1 2 -1 0 0 1 -1 -2 -1 0 0 1 0 -2 -1 0 0 -1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1070. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 -2 1 1 0 1 1 -1 1 -1 2 0 -1 1 0 1 -1 1] [ 1 4 -1 2 0 -2 0 0 1 2 1 0 0 -2 1 0 -1 0 1 0 0 2] [-1 -1 4 1 1 1 0 -1 0 1 1 0 -1 0 1 0 0 -1 -1 1 2 -2] [ 1 2 1 4 0 -1 0 -1 0 2 2 -1 0 -1 1 -1 -1 0 1 1 1 0] [-1 0 1 0 4 2 0 1 -1 0 -1 0 1 1 0 -1 -1 1 1 -1 0 0] [-2 -2 1 -1 2 6 -1 0 0 -1 -2 2 0 0 -2 0 2 0 1 1 1 -1] [ 1 0 0 0 0 -1 4 2 -1 0 1 -2 2 0 0 1 1 2 -1 0 -1 0] [ 1 0 -1 -1 1 0 2 4 0 0 -1 -1 2 0 0 1 0 2 -1 0 -1 1] [ 0 1 0 0 -1 0 -1 0 4 0 0 1 0 -2 0 2 1 0 0 1 1 0] [ 1 2 1 2 0 -1 0 0 0 4 2 -1 -1 -1 1 -1 -1 0 -1 1 1 0] [ 1 1 1 2 -1 -2 1 -1 0 2 4 -2 -1 0 1 -1 0 0 0 0 1 -1] [-1 0 0 -1 0 2 -2 -1 1 -1 -2 4 -1 -1 0 1 1 -2 1 1 1 1] [ 1 0 -1 0 1 0 2 2 0 -1 -1 -1 4 0 0 1 0 2 0 0 -1 1] [-1 -2 0 -1 1 0 0 0 -2 -1 0 -1 0 4 -1 -1 -1 0 0 -2 -1 -1] [ 2 1 1 1 0 -2 0 0 0 1 1 0 0 -1 4 0 -1 -1 0 1 1 1] [ 0 0 0 -1 -1 0 1 1 2 -1 -1 1 1 -1 0 4 2 0 -1 1 0 1] [-1 -1 0 -1 -1 2 1 0 1 -1 0 1 0 -1 -1 2 4 0 0 1 1 0] [ 1 0 -1 0 1 0 2 2 0 0 0 -2 2 0 -1 0 0 4 0 0 -1 0] [ 0 1 -1 1 1 1 -1 -1 0 -1 0 1 0 0 0 -1 0 0 4 -1 0 1] [ 1 0 1 1 -1 1 0 0 1 1 0 1 0 -2 1 1 1 0 -1 4 2 0] [-1 0 2 1 0 1 -1 -1 1 1 1 1 -1 -1 1 0 1 -1 0 2 4 -1] [ 1 2 -2 0 0 -1 0 1 0 0 -1 1 1 -1 1 1 0 0 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1071. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 0 1 -1 0 -2 1 1 -1 -1 -1 1 -2 0 -1 0 0 2 1 -1] [-1 4 -1 1 1 -1 1 -1 -2 -1 1 -1 2 0 0 1 -1 -1 -1 -2 -2 0] [ 0 -1 4 -2 -1 -1 1 1 2 2 -2 1 1 0 1 1 -1 2 -1 2 2 -1] [ 0 1 -2 4 1 -1 0 0 0 0 2 -2 -1 0 0 0 0 -2 1 -2 -1 0] [ 1 1 -1 1 6 -2 1 -1 2 2 1 0 0 -2 -2 -2 1 -1 1 -2 -3 -2] [-1 -1 -1 -1 -2 6 -3 0 -2 0 1 0 -1 1 1 0 2 -1 1 -1 0 1] [ 0 1 1 0 1 -3 4 1 1 1 0 0 2 0 0 1 -1 1 0 1 0 -1] [-2 -1 1 0 -1 0 1 4 0 1 0 0 0 -1 2 0 1 0 1 0 0 1] [ 1 -2 2 0 2 -2 1 0 6 2 -1 1 -1 0 -1 -1 1 2 1 0 2 -2] [ 1 -1 2 0 2 0 1 1 2 6 1 0 0 -1 1 0 1 0 0 0 0 -2] [-1 1 -2 2 1 1 0 0 -1 1 4 0 0 0 0 0 1 -2 1 -2 -2 0] [-1 -1 1 -2 0 0 0 0 1 0 0 4 1 0 0 0 0 1 0 1 0 -1] [-1 2 1 -1 0 -1 2 0 -1 0 0 1 4 0 1 1 -1 1 -1 1 0 0] [ 1 0 0 0 -2 1 0 -1 0 -1 0 0 0 4 -1 2 -1 0 0 1 2 0] [-2 0 1 0 -2 1 0 2 -1 1 0 0 1 -1 4 0 0 0 0 0 0 1] [ 0 1 1 0 -2 0 1 0 -1 0 0 0 1 2 0 4 -1 0 -1 1 1 0] [-1 -1 -1 0 1 2 -1 1 1 1 1 0 -1 -1 0 -1 4 0 1 -2 0 1] [ 0 -1 2 -2 -1 -1 1 0 2 0 -2 1 1 0 0 0 0 4 -1 2 3 0] [ 0 -1 -1 1 1 1 0 1 1 0 1 0 -1 0 0 -1 1 -1 4 -1 -1 0] [ 2 -2 2 -2 -2 -1 1 0 0 0 -2 1 1 1 0 1 -2 2 -1 6 3 0] [ 1 -2 2 -1 -3 0 0 0 2 0 -2 0 0 2 0 1 0 3 -1 3 6 0] [-1 0 -1 0 -2 1 -1 1 -2 -2 0 -1 0 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1072. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 0 1 -1 -1 -1 0 2 -1 2 0 0 0 -2 0 0 0 1 -1] [ 1 4 -2 -1 1 0 -2 -1 -2 -1 -1 -1 0 1 -1 0 -1 1 0 0 0 0] [-2 -2 4 -1 -1 0 1 1 1 0 -1 1 0 0 1 1 1 0 -1 0 0 1] [ 2 -1 -1 6 0 -1 0 1 0 2 0 -1 -1 1 1 0 0 1 -1 -2 1 1] [ 0 1 -1 0 4 1 0 1 0 1 1 -1 -2 1 -1 1 -1 1 1 1 1 1] [ 1 0 0 -1 1 4 1 1 -1 1 2 -1 2 1 1 1 0 1 0 2 0 0] [-1 -2 1 0 0 1 4 2 2 0 0 1 0 -1 0 -1 2 -1 1 0 -1 1] [-1 -1 1 1 1 1 2 4 1 1 0 -1 0 1 0 1 1 1 -1 0 -1 2] [-1 -2 1 0 0 -1 2 1 4 0 0 1 -1 -2 0 -1 0 -1 1 0 0 1] [ 0 -1 0 2 1 1 0 1 0 4 0 0 -1 1 1 0 0 2 0 0 1 1] [ 2 -1 -1 0 1 2 0 0 0 0 6 -2 2 0 0 1 -1 0 1 1 1 -1] [-1 -1 1 -1 -1 -1 1 -1 1 0 -2 4 0 -2 -1 -2 1 -1 1 -1 -1 -1] [ 2 0 0 -1 -2 2 0 0 -1 -1 2 0 6 -1 1 0 0 -1 0 1 -1 -1] [ 0 1 0 1 1 1 -1 1 -2 1 0 -2 -1 4 0 2 0 2 -2 0 1 1] [ 0 -1 1 1 -1 1 0 0 0 1 0 -1 1 0 4 0 0 0 0 1 0 1] [ 0 0 1 0 1 1 -1 1 -1 0 1 -2 0 2 0 4 0 1 -2 1 1 1] [-2 -1 1 0 -1 0 2 1 0 0 -1 1 0 0 0 0 4 0 0 -1 -1 1] [ 0 1 0 1 1 1 -1 1 -1 2 0 -1 -1 2 0 1 0 4 -1 0 1 1] [ 0 0 -1 -1 1 0 1 -1 1 0 1 1 0 -2 0 -2 0 -1 4 0 0 0] [ 0 0 0 -2 1 2 0 0 0 0 1 -1 1 0 1 1 -1 0 0 4 1 0] [ 1 0 0 1 1 0 -1 -1 0 1 1 -1 -1 1 0 1 -1 1 0 1 4 0] [-1 0 1 1 1 0 1 2 1 1 -1 -1 -1 1 1 1 1 1 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1073. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 -1 1 -1 1 1 1 0 1 0 -1 -1 0 1 0 0 1 -2 2] [ 1 4 1 -1 -2 2 0 2 2 0 0 1 0 -1 -1 -1 0 -1 1 2 -2 1] [-2 1 4 -2 -1 0 1 0 -1 0 0 0 0 -1 1 -1 -1 -1 0 1 0 -1] [ 1 -1 -2 4 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 -1 0 1 1] [-1 -2 -1 0 4 -2 -1 -2 0 0 0 -1 0 1 1 2 -1 1 1 -2 1 0] [ 1 2 0 1 -2 4 1 2 1 -1 -1 0 1 0 -1 -2 1 0 0 2 -1 1] [-1 0 1 -1 -1 1 4 -1 0 -1 1 -1 1 0 0 -1 1 0 -1 0 0 -1] [ 1 2 0 1 -2 2 -1 4 1 0 0 1 -1 0 0 -2 1 0 1 2 0 1] [ 1 2 -1 0 0 1 0 1 4 0 0 0 0 0 -1 0 0 1 1 0 -2 2] [ 1 0 0 0 0 -1 -1 0 0 4 1 2 -2 -2 -1 1 -1 0 1 0 -2 1] [ 0 0 0 -1 0 -1 1 0 0 1 4 1 -2 -1 -1 -1 1 -1 1 -1 -1 -1] [ 1 1 0 1 -1 0 -1 1 0 2 1 4 -2 -1 -1 0 -1 -1 1 1 -2 1] [ 0 0 0 0 0 1 1 -1 0 -2 -2 -2 4 0 1 0 0 0 -2 0 1 0] [-1 -1 -1 0 1 0 0 0 0 -2 -1 -1 0 4 0 0 1 2 1 0 2 0] [-1 -1 1 0 1 -1 0 0 -1 -1 -1 -1 1 0 4 1 0 0 -1 0 2 0] [ 0 -1 -1 0 2 -2 -1 -2 0 1 -1 0 0 0 1 4 -1 0 0 -1 0 1] [ 1 0 -1 0 -1 1 1 1 0 -1 1 -1 0 1 0 -1 4 1 0 0 1 0] [ 0 -1 -1 0 1 0 0 0 1 0 -1 -1 0 2 0 0 1 4 1 0 1 1] [ 0 1 0 -1 1 0 -1 1 1 1 1 1 -2 1 -1 0 0 1 4 0 -1 1] [ 1 2 1 0 -2 2 0 2 0 0 -1 1 0 0 0 -1 0 0 0 4 0 1] [-2 -2 0 1 1 -1 0 0 -2 -2 -1 -2 1 2 2 0 1 1 -1 0 6 -2] [ 2 1 -1 1 0 1 -1 1 2 1 -1 1 0 0 0 1 0 1 1 1 -2 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1074. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 2 0 -1 2 -1 2 1 1 -1 0 -1 1 1 -1 2] [ 1 4 -1 -2 -1 2 -1 0 1 1 1 0 1 0 -1 -1 1 0 0 1 1 1] [-1 -1 4 0 0 0 0 -1 1 0 0 -1 0 1 0 1 -2 -1 1 -1 0 0] [-1 -2 0 4 0 -2 1 0 -1 0 -1 -1 -2 0 1 0 -1 -1 0 0 -1 0] [ 1 -1 0 0 4 -1 2 2 -1 -2 1 0 1 1 0 -1 -1 0 1 1 -2 1] [ 1 2 0 -2 -1 4 -2 -1 0 1 1 -1 1 -1 0 1 0 1 -1 0 1 1] [ 1 -1 0 1 2 -2 4 2 0 -2 1 -1 1 2 0 -2 0 -2 2 0 -2 1] [ 2 0 -1 0 2 -1 2 4 -1 -2 2 0 1 1 1 -2 0 -1 1 1 -1 1] [ 0 1 1 -1 -1 0 0 -1 4 0 0 0 0 1 -2 0 1 0 1 0 0 0] [-1 1 0 0 -2 1 -2 -2 0 4 -2 1 -1 -1 0 0 1 1 0 0 1 -1] [ 2 1 0 -1 1 1 1 2 0 -2 4 -1 2 0 0 -1 -1 -1 1 1 -1 2] [-1 0 -1 -1 0 -1 -1 0 0 1 -1 4 0 -1 0 0 2 2 0 1 1 -1] [ 2 1 0 -2 1 1 1 1 0 -1 2 0 4 1 0 -1 0 -1 1 1 0 2] [ 1 0 1 0 1 -1 2 1 1 -1 0 -1 1 4 -1 -1 0 -2 2 -1 0 1] [ 1 -1 0 1 0 0 0 1 -2 0 0 0 0 -1 4 0 -1 0 0 1 0 0] [-1 -1 1 0 -1 1 -2 -2 0 0 -1 0 -1 -1 0 4 0 1 -2 -1 1 0] [ 0 1 -2 -1 -1 0 0 0 1 1 -1 2 0 0 -1 0 4 1 0 0 1 0] [-1 0 -1 -1 0 1 -2 -1 0 1 -1 2 -1 -2 0 1 1 4 -1 1 1 -1] [ 1 0 1 0 1 -1 2 1 1 0 1 0 1 2 0 -2 0 -1 4 0 -1 1] [ 1 1 -1 0 1 0 0 1 0 0 1 1 1 -1 1 -1 0 1 0 4 0 1] [-1 1 0 -1 -2 1 -2 -1 0 1 -1 1 0 0 0 1 1 1 -1 0 4 -1] [ 2 1 0 0 1 1 1 1 0 -1 2 -1 2 1 0 0 0 -1 1 1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1075. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 -1 -1 -2 0 0 0 1 -1 -2 -1 0 -1 1 2 -1 1] [ 1 4 -1 -2 2 2 0 -2 0 0 -1 -1 2 -2 0 1 1 -2 0 2 1 2] [-1 -1 4 0 0 0 2 0 1 0 -1 -1 0 0 1 0 -2 0 1 1 0 0] [-1 -2 0 4 -2 -2 0 2 0 -1 2 1 -1 1 0 1 -1 2 1 -2 -1 -1] [ 1 2 0 -2 4 1 0 -2 1 -1 -1 -2 1 -1 0 0 0 -2 0 1 1 1] [ 1 2 0 -2 1 4 1 -2 0 0 -2 0 1 -1 1 -1 1 -2 1 3 0 2] [-1 0 2 0 0 1 4 -1 2 0 -1 0 0 1 2 -1 -1 0 1 1 -1 0] [-1 -2 0 2 -2 -2 -1 4 0 1 2 1 -1 1 -1 1 -1 1 -1 -1 0 -2] [-2 0 1 0 1 0 2 0 4 0 -1 0 0 1 2 0 -1 -1 0 0 1 0] [ 0 0 0 -1 -1 0 0 1 0 4 0 1 1 0 -1 0 -1 -1 -1 1 1 -1] [ 0 -1 -1 2 -1 -2 -1 2 -1 0 4 1 0 1 -2 0 0 1 0 -2 0 -2] [ 0 -1 -1 1 -2 0 0 1 0 1 1 4 -1 0 0 -1 1 0 1 -1 -1 -1] [ 1 2 0 -1 1 1 0 -1 0 1 0 -1 4 0 -1 0 0 -1 1 1 1 1] [-1 -2 0 1 -1 -1 1 1 1 0 1 0 0 4 0 -1 0 1 0 -1 0 -1] [-2 0 1 0 0 1 2 -1 2 -1 -2 0 -1 0 4 0 0 0 0 0 0 1] [-1 1 0 1 0 -1 -1 1 0 0 0 -1 0 -1 0 4 0 0 -1 0 1 1] [ 0 1 -2 -1 0 1 -1 -1 -1 -1 0 1 0 0 0 0 4 0 0 -1 0 1] [-1 -2 0 2 -2 -2 0 1 -1 -1 1 0 -1 1 0 0 0 4 0 -2 -1 -1] [ 1 0 1 1 0 1 1 -1 0 -1 0 1 1 0 0 -1 0 0 4 0 -1 1] [ 2 2 1 -2 1 3 1 -1 0 1 -2 -1 1 -1 0 0 -1 -2 0 6 1 2] [-1 1 0 -1 1 0 -1 0 1 1 0 -1 1 0 0 1 0 -1 -1 1 4 0] [ 1 2 0 -1 1 2 0 -2 0 -1 -2 -1 1 -1 1 1 1 -1 1 2 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1076. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 -2 1 1 -2 1 0 0 0 0 0 -1 -1 2 1 1 0 0 -1] [-2 4 -2 -1 1 -1 0 1 -1 1 0 1 -1 -1 1 -1 -2 -1 0 -1 1 1] [ 2 -2 4 0 -1 1 0 -1 1 -1 1 -1 0 1 -1 1 2 1 -1 -1 -1 0] [ 1 -1 0 4 0 2 0 0 2 1 -1 -1 1 0 1 0 2 2 0 -1 -1 0] [-2 1 -1 0 4 0 -2 2 1 0 -1 -1 -1 -1 2 0 -2 1 0 1 1 2] [ 1 -1 1 2 0 4 -1 1 2 -1 -1 -2 1 0 1 1 1 2 -1 -2 0 0] [ 1 0 0 0 -2 -1 4 -1 0 0 1 1 0 1 0 0 2 0 0 1 0 -2] [-2 1 -1 0 2 1 -1 4 0 0 0 -1 -1 -1 2 0 -2 1 0 0 1 0] [ 1 -1 1 2 1 2 0 0 4 -1 0 -2 1 0 1 1 1 2 -1 0 0 1] [ 0 1 -1 1 0 -1 0 0 -1 4 -1 2 -1 -1 0 -2 0 0 2 -1 0 0] [ 0 0 1 -1 -1 -1 1 0 0 -1 4 0 1 0 0 1 -1 0 0 1 -1 0] [ 0 1 -1 -1 -1 -2 1 -1 -2 2 0 4 -1 -1 -1 -1 -1 -2 2 1 1 0] [ 0 -1 0 1 -1 1 0 -1 1 -1 1 -1 4 0 0 2 0 0 -1 -1 -2 0] [ 0 -1 1 0 -1 0 1 -1 0 -1 0 -1 0 4 0 1 3 0 -1 0 -1 -1] [-1 1 -1 1 2 1 0 2 1 0 0 -1 0 0 4 0 -1 2 0 0 0 0] [-1 -1 1 0 0 1 0 0 1 -2 1 -1 2 1 0 4 1 0 -2 0 -1 1] [ 2 -2 2 2 -2 1 2 -2 1 0 -1 -1 0 3 -1 1 6 1 -1 -1 -1 -1] [ 1 -1 1 2 1 2 0 1 2 0 0 -2 0 0 2 0 1 4 0 0 0 0] [ 1 0 -1 0 0 -1 0 0 -1 2 0 2 -1 -1 0 -2 -1 0 4 1 1 0] [ 0 -1 -1 -1 1 -2 1 0 0 -1 1 1 -1 0 0 0 -1 0 1 6 2 0] [ 0 1 -1 -1 1 0 0 1 0 0 -1 1 -2 -1 0 -1 -1 0 1 2 4 0] [-1 1 0 0 2 0 -2 0 1 0 0 0 0 -1 0 1 -1 0 0 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1077. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 1 1 2 1 0 1 1 -1 -1 -1 2 -2 1 -2 -2 1 1 1 0] [ 1 4 0 1 0 1 2 1 -1 0 0 -2 -1 0 -1 1 0 1 -1 2 0 1] [ 0 0 4 -1 0 1 1 1 2 -1 1 1 -1 -1 0 1 -2 1 -2 0 0 1] [ 1 1 -1 4 -1 0 1 1 -1 1 0 0 1 1 -2 0 1 1 2 1 0 -1] [ 1 0 0 -1 4 -1 0 1 2 -1 0 0 -1 1 -1 -1 0 -2 0 1 -1 -1] [ 2 1 1 0 -1 4 0 -1 1 1 0 -1 -1 0 -1 1 -1 -1 -1 1 2 2] [ 1 2 1 1 0 0 4 2 -1 0 1 0 0 1 -1 1 -2 1 -1 0 0 0] [ 0 1 1 1 1 -1 2 4 1 0 0 0 1 0 -1 1 -1 0 -1 1 0 -1] [ 1 -1 2 -1 2 1 -1 1 6 -1 0 1 0 0 -2 -1 -2 -3 -2 2 0 0] [ 1 0 -1 1 -1 1 0 0 -1 4 -1 0 0 1 0 1 -1 0 2 -1 2 1] [-1 0 1 0 0 0 1 0 0 -1 4 0 1 -1 0 -1 1 1 -2 1 -1 0] [-1 -2 1 0 0 -1 0 0 1 0 0 4 0 1 0 -1 -1 1 0 -1 0 0] [-1 -1 -1 1 -1 -1 0 1 0 0 1 0 4 -1 0 0 1 -1 0 1 0 -1] [ 2 0 -1 1 1 0 1 0 0 1 -1 1 -1 4 -2 -1 -1 0 1 -1 1 0] [-2 -1 0 -2 -1 -1 -1 -1 -2 0 0 0 0 -2 4 1 0 1 0 -2 0 0] [ 1 1 1 0 -1 1 1 1 -1 1 -1 -1 0 -1 1 4 -1 0 0 0 1 1] [-2 0 -2 1 0 -1 -2 -1 -2 -1 1 -1 1 -1 0 -1 6 1 1 1 -1 0] [-2 1 1 1 -2 -1 1 0 -3 0 1 1 -1 0 1 0 1 6 0 -1 0 1] [ 1 -1 -2 2 0 -1 -1 -1 -2 2 -2 0 0 1 0 0 1 0 6 -2 0 -1] [ 1 2 0 1 1 1 0 1 2 -1 1 -1 1 -1 -2 0 1 -1 -2 6 0 0] [ 1 0 0 0 -1 2 0 0 0 2 -1 0 0 1 0 1 -1 0 0 0 4 1] [ 0 1 1 -1 -1 2 0 -1 0 1 0 0 -1 0 0 1 0 1 -1 0 1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1078. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 -2 1 0 0 -1 0 0 1 0 1 2 -1 0 -1 -1 1 -2 0] [ 2 4 2 1 -1 0 0 -1 0 0 -1 0 0 0 1 0 -1 0 1 2 -2 0] [ 1 2 4 -1 -2 -1 0 -1 1 0 -1 -1 1 1 0 -1 -1 1 1 0 -1 0] [-1 1 -1 6 3 1 -1 1 -2 -1 0 2 -1 0 -1 0 -2 1 -1 2 1 2] [-2 -1 -2 3 6 0 1 1 -2 -2 2 2 -2 1 -2 -1 1 1 -2 1 1 1] [ 1 0 -1 1 0 4 -1 2 -1 -1 1 1 -1 1 2 0 1 -2 0 0 1 0] [ 0 0 0 -1 1 -1 4 -2 -1 -1 0 0 -1 0 -2 0 0 0 1 0 -2 1] [ 0 -1 -1 1 1 2 -2 4 -1 -1 2 1 -1 1 1 0 1 0 -1 0 1 -1] [-1 0 1 -2 -2 -1 -1 -1 4 2 -1 -2 1 -1 0 1 0 0 2 -1 0 -1] [ 0 0 0 -1 -2 -1 -1 -1 2 4 -2 -2 2 -2 1 0 0 -1 0 0 1 0] [ 0 -1 -1 0 2 1 0 2 -1 -2 4 2 -2 1 -1 0 1 0 0 0 0 0] [ 1 0 -1 2 2 1 0 1 -2 -2 2 4 -1 1 0 -1 0 0 -2 1 -1 1] [ 0 0 1 -1 -2 -1 -1 -1 1 2 -2 -1 4 0 2 -1 0 0 -1 -1 0 -1] [ 1 0 1 0 1 1 0 1 -1 -2 1 1 0 4 0 -2 0 0 -1 0 -1 0] [ 2 1 0 -1 -2 2 -2 1 0 1 -1 0 2 0 6 -1 2 -1 -1 -1 0 -2] [-1 0 -1 0 -1 0 0 0 1 0 0 -1 -1 -2 -1 4 0 0 2 0 0 0] [ 0 -1 -1 -2 1 1 0 1 0 0 1 0 0 0 2 0 4 -1 -1 -1 1 -1] [-1 0 1 1 1 -2 0 0 0 -1 0 0 0 0 -1 0 -1 4 0 0 0 0] [-1 1 1 -1 -2 0 1 -1 2 0 0 -2 -1 -1 -1 2 -1 0 6 -1 -1 0] [ 1 2 0 2 1 0 0 0 -1 0 0 1 -1 0 -1 0 -1 0 -1 4 0 1] [-2 -2 -1 1 1 1 -2 1 0 1 0 -1 0 -1 0 0 1 0 -1 0 6 0] [ 0 0 0 2 1 0 1 -1 -1 0 0 1 -1 0 -2 0 -1 0 0 1 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1079. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 1 0 -1 1 2 1 -1 -1 -1 -1 1 2 1 2 1 1 1] [ 1 4 0 2 0 0 0 -1 0 1 1 1 -1 1 0 1 2 0 0 0 2 -1] [-1 0 4 1 0 0 0 -1 0 -1 1 -1 -1 -1 -1 1 1 0 -1 0 -1 0] [ 1 2 1 4 0 -1 1 -1 0 1 0 0 0 0 0 1 2 0 0 0 2 -1] [-1 0 0 0 4 1 -1 2 -2 -1 0 -1 0 1 2 1 1 1 -2 -2 -1 0] [ 1 0 0 -1 1 4 -2 0 -1 0 2 -1 -2 -1 0 0 2 2 0 -1 -2 2] [ 0 0 0 1 -1 -2 4 1 0 -1 -1 0 1 -1 0 -1 0 0 -1 0 2 0] [-1 -1 -1 -1 2 0 1 4 -2 -1 0 -1 1 1 2 0 -1 0 -2 -1 -1 0] [ 1 0 0 0 -2 -1 0 -2 4 0 0 0 1 -1 -2 0 -1 -1 2 2 0 -1] [ 2 1 -1 1 -1 0 -1 -1 0 4 1 1 -1 1 -1 0 1 0 2 1 1 0] [ 1 1 1 0 0 2 -1 0 0 1 4 0 -1 0 -1 1 1 0 0 0 -1 1] [-1 1 -1 0 -1 -1 0 -1 0 1 0 4 0 1 0 -1 -1 -1 0 0 2 0] [-1 -1 -1 0 0 -2 1 1 1 -1 -1 0 4 0 0 0 -2 -2 0 1 0 -2] [-1 1 -1 0 1 -1 -1 1 -1 1 0 1 0 4 1 1 -1 -1 0 -1 0 -1] [-1 0 -1 0 2 0 0 2 -2 -1 -1 0 0 1 4 0 0 0 -2 -1 1 0] [ 1 1 1 1 1 0 -1 0 0 0 1 -1 0 1 0 4 1 0 0 0 -1 0] [ 2 2 1 2 1 2 0 -1 -1 1 1 -1 -2 -1 0 1 6 3 0 -1 1 1] [ 1 0 0 0 1 2 0 0 -1 0 0 -1 -2 -1 0 0 3 4 0 -1 0 2] [ 2 0 -1 0 -2 0 -1 -2 2 2 0 0 0 0 -2 0 0 0 4 1 0 0] [ 1 0 0 0 -2 -1 0 -1 2 1 0 0 1 -1 -1 0 -1 -1 1 4 1 -1] [ 1 2 -1 2 -1 -2 2 -1 0 1 -1 2 0 0 1 -1 1 0 0 1 6 -1] [ 1 -1 0 -1 0 2 0 0 -1 0 1 0 -2 -1 0 0 1 2 0 -1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1080. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -1 -1 -1 2 -1 0 -1 2 1 1 -1 1 1 -1 -1 1 -2 1] [ 1 4 2 0 -1 1 0 2 -2 0 0 -1 -1 0 1 -1 1 -2 -1 2 1 -1] [ 2 2 4 0 -1 -1 -1 2 -1 0 -1 0 1 0 -1 -1 2 -2 0 2 0 -1] [ 1 0 0 4 1 1 1 0 -2 0 -1 0 -1 2 0 0 -1 1 1 0 0 -1] [-1 -1 -1 1 6 2 1 -1 0 0 1 0 -1 -1 0 1 0 0 1 -1 -2 2] [-1 1 -1 1 2 6 3 1 -3 2 0 -2 0 0 2 0 -1 0 -1 1 1 -2] [-1 0 -1 1 1 3 4 0 -1 2 -1 -2 -1 0 0 0 -1 0 -1 0 0 -1] [ 2 2 2 0 -1 1 0 4 -1 0 0 0 1 0 0 -1 0 -2 -2 2 0 -1] [-1 -2 -1 -2 0 -3 -1 -1 6 -1 2 0 0 0 -1 1 -1 -1 1 -1 -1 2] [ 0 0 0 0 0 2 2 0 -1 4 0 -1 1 -1 -1 1 1 0 -1 0 -1 -1] [-1 0 -1 -1 1 0 -1 0 2 0 4 -1 0 -1 1 1 0 -1 0 -1 -1 0] [ 2 -1 0 0 0 -2 -2 0 0 -1 -1 4 1 0 -1 1 0 1 0 0 -1 2] [ 1 -1 1 -1 -1 0 -1 1 0 1 0 1 4 -1 0 1 1 0 0 0 0 -1] [ 1 0 0 2 -1 0 0 0 0 -1 -1 0 -1 4 0 0 -1 0 1 1 1 0] [-1 1 -1 0 0 2 0 0 -1 -1 1 -1 0 0 4 0 -1 0 0 0 2 -1] [ 1 -1 -1 0 1 0 0 -1 1 1 1 1 1 0 0 4 1 0 0 -1 -2 2] [ 1 1 2 -1 0 -1 -1 0 -1 1 0 0 1 -1 -1 1 4 -1 0 0 -1 1] [-1 -2 -2 1 0 0 0 -2 -1 0 -1 1 0 0 0 0 -1 4 1 -1 1 0] [-1 -1 0 1 1 -1 -1 -2 1 -1 0 0 0 1 0 0 0 1 4 -1 1 0] [ 1 2 2 0 -1 1 0 2 -1 0 -1 0 0 1 0 -1 0 -1 -1 4 2 -1] [-2 1 0 0 -2 1 0 0 -1 -1 -1 -1 0 1 2 -2 -1 1 1 2 6 -3] [ 1 -1 -1 -1 2 -2 -1 -1 2 -1 0 2 -1 0 -1 2 1 0 0 -1 -3 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1081. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 0 1 -2 2 1 -1 1 1 2 -2 -1 1 -1 -2 1 -1 2 0] [ 2 4 -2 -1 1 0 -1 1 -1 -1 0 1 1 -1 -1 -1 0 -1 0 0 1 1] [-2 -2 4 0 -1 0 1 -1 -1 0 0 0 -1 1 1 1 1 1 -1 0 -1 0] [-2 -1 0 4 1 0 2 -1 0 1 0 -1 -1 2 1 -1 -1 2 1 0 0 1] [ 0 1 -1 1 4 1 1 0 1 1 1 1 0 1 0 -1 0 1 1 0 -1 2] [ 1 0 0 0 1 4 -1 0 1 -1 2 2 1 0 -1 0 1 0 1 -2 -1 1] [-2 -1 1 2 1 -1 4 0 0 1 0 -1 -2 2 2 0 -1 2 1 1 -1 1] [ 2 1 -1 -1 0 0 0 4 1 -1 0 1 1 0 -1 0 -1 0 1 0 2 0] [ 1 -1 -1 0 1 1 0 1 4 0 1 0 0 0 0 0 -1 1 1 -1 1 1] [-1 -1 0 1 1 -1 1 -1 0 4 -1 -1 0 1 0 1 -1 0 1 1 0 0] [ 1 0 0 0 1 2 0 0 1 -1 4 2 1 -1 0 0 -1 0 0 0 0 1] [ 1 1 0 -1 1 2 -1 1 0 -1 2 4 2 -1 -2 -1 1 0 0 -1 -1 0] [ 2 1 -1 -1 0 1 -2 1 0 0 1 2 4 -2 -1 0 0 -2 1 0 1 0] [-2 -1 1 2 1 0 2 0 0 1 -1 -1 -2 4 0 0 0 2 0 0 0 1] [-1 -1 1 1 0 -1 2 -1 0 0 0 -2 -1 0 4 0 -1 0 1 1 -1 1] [ 1 -1 1 -1 -1 0 0 0 0 1 0 -1 0 0 0 4 0 -1 0 0 1 0] [-1 0 1 -1 0 1 -1 -1 -1 -1 -1 1 0 0 -1 0 4 0 -1 -1 -2 0] [-2 -1 1 2 1 0 2 0 1 0 0 0 -2 2 0 -1 0 4 0 0 0 1] [ 1 0 -1 1 1 1 1 1 1 1 0 0 1 0 1 0 -1 0 4 -1 0 1] [-1 0 0 0 0 -2 1 0 -1 1 0 -1 0 0 1 0 -1 0 -1 4 1 0] [ 2 1 -1 0 -1 -1 -1 2 1 0 0 -1 1 0 -1 1 -2 0 0 1 6 0] [ 0 1 0 1 2 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1082. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 1 1 -1 1 -2 0 0 1 0 0 0 0 -1 -1 -2 -1 0] [-2 4 -2 -1 -1 -1 -2 0 1 2 0 1 -1 1 0 0 0 0 1 2 0 -1] [ 2 -2 4 0 0 1 2 0 0 -2 1 -1 1 -1 0 1 1 -1 -2 -2 0 0] [ 1 -1 0 4 0 0 1 1 0 0 0 1 0 1 0 0 -2 -1 1 0 -1 0] [ 1 -1 0 0 4 2 1 0 0 -1 -2 -1 2 -1 0 -2 0 1 -1 -1 -1 2] [ 1 -1 1 0 2 4 0 1 -1 -1 -1 0 2 -1 1 -2 1 0 0 -1 0 2] [ 1 -2 2 1 1 0 4 0 -1 -2 1 -1 1 -1 0 1 0 -1 -2 -1 -1 0] [-1 0 0 1 0 1 0 4 -1 0 1 0 0 1 -1 -1 1 1 0 0 1 0] [ 1 1 0 0 0 -1 -1 -1 4 0 0 0 0 1 -1 1 0 -1 0 -1 -1 0] [-2 2 -2 0 -1 -1 -2 0 0 4 -1 0 -2 0 1 -1 0 0 2 2 0 -1] [ 0 0 1 0 -2 -1 1 1 0 -1 4 0 -1 1 -1 2 1 0 -1 0 0 -1] [ 0 1 -1 1 -1 0 -1 0 0 0 0 4 0 1 1 0 -2 0 2 1 -1 0] [ 1 -1 1 0 2 2 1 0 0 -2 -1 0 4 0 1 -1 0 0 -1 -1 0 2] [ 0 1 -1 1 -1 -1 -1 1 1 0 1 1 0 4 0 1 -1 0 0 0 0 0] [ 0 0 0 0 0 1 0 -1 -1 1 -1 1 1 0 4 0 -1 -1 1 1 0 0] [ 0 0 1 0 -2 -2 1 -1 1 -1 2 0 -1 1 0 4 -1 -1 -1 0 0 -1] [ 0 0 1 -2 0 1 0 1 0 0 1 -2 0 -1 -1 -1 4 0 -1 -1 1 0] [-1 0 -1 -1 1 0 -1 1 -1 0 0 0 0 0 -1 -1 0 4 0 1 1 1] [-1 1 -2 1 -1 0 -2 0 0 2 -1 2 -1 0 1 -1 -1 0 4 1 0 0] [-2 2 -2 0 -1 -1 -1 0 -1 2 0 1 -1 0 1 0 -1 1 1 4 1 -1] [-1 0 0 -1 -1 0 -1 1 -1 0 0 -1 0 0 0 0 1 1 0 1 4 -1] [ 0 -1 0 0 2 2 0 0 0 -1 -1 0 2 0 0 -1 0 1 0 -1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1083. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 1 2 0 1 -1 1 -2 -1 1 -1 -1 0 2 -2 0 0 -2 0] [-2 4 -2 1 -2 -1 -1 -2 1 0 2 2 0 1 -1 0 -1 0 0 0 2 0] [ 2 -2 4 0 0 1 0 2 -1 -1 -2 0 0 -1 0 -1 1 0 -1 0 -1 1] [ 1 1 0 4 -2 -1 0 -1 1 1 -1 0 1 1 -1 0 2 0 1 0 1 0] [ 1 -2 0 -2 6 3 0 1 0 -1 0 -2 1 0 0 -1 -1 -1 1 -1 0 1] [ 2 -1 1 -1 3 6 -2 2 -2 -1 -1 -1 0 -2 0 1 1 -1 -1 -2 -1 2] [ 0 -1 0 0 0 -2 4 1 1 1 1 -1 -1 0 1 0 -1 0 1 2 1 0] [ 1 -2 2 -1 1 2 1 4 -1 0 0 -1 -1 -1 1 1 0 0 -1 0 0 2] [-1 1 -1 1 0 -2 1 -1 4 1 0 0 1 2 -1 0 -1 0 2 0 1 0] [ 1 0 -1 1 -1 -1 1 0 1 4 1 0 0 0 -1 1 1 -1 1 0 0 -1] [-2 2 -2 -1 0 -1 1 0 0 1 6 2 -2 1 1 0 -2 -1 -1 0 3 0] [-1 2 0 0 -2 -1 -1 -1 0 0 2 4 0 0 -1 -1 0 0 -1 -1 0 -1] [ 1 0 0 1 1 0 -1 -1 1 0 -2 0 4 0 -1 -1 1 -1 2 0 -1 0] [-1 1 -1 1 0 -2 0 -1 2 0 1 0 0 4 -1 0 -1 0 0 0 2 0] [-1 -1 0 -1 0 0 1 1 -1 -1 1 -1 -1 -1 4 0 -1 0 0 1 0 1] [ 0 0 -1 0 -1 1 0 1 0 1 0 -1 -1 0 0 4 1 0 -1 0 0 1] [ 2 -1 1 2 -1 1 -1 0 -1 1 -2 0 1 -1 -1 1 4 0 0 -1 -1 0] [-2 0 0 0 -1 -1 0 0 0 -1 -1 0 -1 0 0 0 0 4 0 0 1 0] [ 0 0 -1 1 1 -1 1 -1 2 1 -1 -1 2 0 0 -1 0 0 4 0 0 0] [ 0 0 0 0 -1 -2 2 0 0 0 0 -1 0 0 1 0 -1 0 0 4 1 0] [-2 2 -1 1 0 -1 1 0 1 0 3 0 -1 2 0 0 -1 1 0 1 6 1] [ 0 0 1 0 1 2 0 2 0 -1 0 -1 0 0 1 1 0 0 0 0 1 4] |Aut| = [ <2, 4> ] Modular = true LatDB = - 1084. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 -1 1 0 -2 -2 -1 1 -1 0 0 0 1 1 0 0 -1 1] [-2 4 -2 1 -1 2 -1 -1 2 1 -1 -1 0 0 -1 0 -1 -1 -1 0 0 0] [ 2 -2 4 -1 0 -1 1 0 -1 -1 1 1 -1 0 -1 -1 0 1 -1 0 0 1] [ 0 1 -1 4 1 0 1 -2 -1 -1 -1 1 -1 0 -1 0 0 1 -1 0 -1 0] [ 1 -1 0 1 4 0 2 -1 -1 -1 0 2 1 0 0 -1 2 2 0 0 -1 0] [-1 2 -1 0 0 4 0 0 2 0 -1 1 0 1 1 0 1 1 0 -1 0 -1] [ 1 -1 1 1 2 0 4 -2 -2 -1 1 2 -1 -1 -1 0 1 2 -1 1 0 -1] [ 0 -1 0 -2 -1 0 -2 4 0 0 0 -1 1 0 1 0 1 0 2 0 0 1] [-2 2 -1 -1 -1 2 -2 0 4 1 0 -1 1 1 1 0 -1 -1 0 -1 1 0] [-2 1 -1 -1 -1 0 -1 0 1 4 0 -1 1 -1 -1 0 -2 -2 1 1 0 0] [-1 -1 1 -1 0 -1 1 0 0 0 4 -1 1 0 -1 -1 0 0 0 0 1 -1] [ 1 -1 1 1 2 1 2 -1 -1 -1 -1 4 -1 0 0 0 1 2 -1 0 0 0] [-1 0 -1 -1 1 0 -1 1 1 1 1 -1 4 1 1 0 1 0 2 -1 -1 0] [ 0 0 0 0 0 1 -1 0 1 -1 0 0 1 4 2 -1 1 0 0 -1 -1 0] [ 0 -1 -1 -1 0 1 -1 1 1 -1 -1 0 1 2 6 0 2 0 2 -2 -1 -1] [ 0 0 -1 0 -1 0 0 0 0 0 -1 0 0 -1 0 4 0 0 0 0 1 0] [ 1 -1 0 0 2 1 1 1 -1 -2 0 1 1 1 2 0 4 2 1 -1 -1 0] [ 1 -1 1 1 2 1 2 0 -1 -2 0 2 0 0 0 0 2 4 0 0 0 0] [ 0 -1 -1 -1 0 0 -1 2 0 1 0 -1 2 0 2 0 1 0 4 -1 -1 0] [ 0 0 0 0 0 -1 1 0 -1 1 0 0 -1 -1 -2 0 -1 0 -1 4 1 1] [-1 0 0 -1 -1 0 0 0 1 0 1 0 -1 -1 -1 1 -1 0 -1 1 4 -1] [ 1 0 1 0 0 -1 -1 1 0 0 -1 0 0 0 -1 0 0 0 0 1 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1085. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 1 -2 -1 0 1 -1 -1 2 2 -1 1 -1 1 2 1 -1 1] [ 1 4 -2 2 1 1 0 0 1 2 0 1 2 1 0 1 1 2 2 2 1 -1] [-1 -2 4 -2 -1 -2 0 -1 -1 0 0 0 -1 -1 -1 -1 0 -2 0 0 -1 -1] [ 1 2 -2 4 2 2 0 -1 0 0 -1 -1 1 1 -1 2 1 2 0 2 1 -1] [ 2 1 -1 2 4 1 0 -2 0 0 -2 -2 2 2 -2 1 -1 1 0 1 -1 1] [ 1 1 -2 2 1 4 -1 1 0 0 -1 0 1 2 -1 0 0 0 -1 0 0 -1] [-2 0 0 0 0 -1 4 0 1 -1 1 0 -1 -1 1 -1 0 1 -1 1 1 0] [-1 0 -1 -1 -2 1 0 6 -1 0 2 3 -1 0 1 0 2 1 1 0 0 -2] [ 0 1 -1 0 0 0 1 -1 4 -1 -1 0 0 0 1 0 0 -1 -1 1 0 1] [ 1 2 0 0 0 0 -1 0 -1 4 0 1 2 0 -1 0 0 1 3 1 1 0] [-1 0 0 -1 -2 -1 1 2 -1 0 4 1 -1 -1 2 0 0 1 1 0 1 -1] [-1 1 0 -1 -2 0 0 3 0 1 1 4 0 -1 1 -1 2 1 1 0 1 -1] [ 2 2 -1 1 2 1 -1 -1 0 2 -1 0 4 2 -1 0 -1 1 1 0 0 1] [ 2 1 -1 1 2 2 -1 0 0 0 -1 -1 2 4 -1 0 -1 0 0 0 -1 0] [-1 0 -1 -1 -2 -1 1 1 1 -1 2 1 -1 -1 4 0 0 1 0 -1 1 0] [ 1 1 -1 2 1 0 -1 0 0 0 0 -1 0 0 0 4 1 1 1 2 0 -1] [-1 1 0 1 -1 0 0 2 0 0 0 2 -1 -1 0 1 4 1 1 2 1 -2] [ 1 2 -2 2 1 0 1 1 -1 1 1 1 1 0 1 1 1 6 3 2 1 -1] [ 2 2 0 0 0 -1 -1 1 -1 3 1 1 1 0 0 1 1 3 6 2 0 -1] [ 1 2 0 2 1 0 1 0 1 1 0 0 0 0 -1 2 2 2 2 6 1 -2] [-1 1 -1 1 -1 0 1 0 0 1 1 1 0 -1 1 0 1 1 0 1 4 0] [ 1 -1 -1 -1 1 -1 0 -2 1 0 -1 -1 1 0 0 -1 -2 -1 -1 -2 0 6] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1086. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -2 0 1 -1 2 -2 2 -1 1 2 -1 -1 -1 2 1 1 0 -1] [ 1 4 -2 2 -2 0 0 -1 2 0 1 0 1 2 -1 1 1 2 0 2 1 0] [-1 -2 4 -2 0 -1 -1 1 -2 0 -2 -1 -1 0 1 -1 -1 0 -1 -2 -1 1] [ 2 2 -2 4 -1 1 0 0 2 0 1 -1 0 1 0 0 0 1 1 2 0 0] [-2 -2 0 -1 6 0 1 -1 -1 0 -1 -1 0 -4 1 1 0 -4 -1 0 -1 -1] [ 0 0 -1 1 0 4 0 1 1 -1 1 0 1 0 -1 -1 -1 0 2 1 1 1] [ 1 0 -1 0 1 0 4 0 0 0 0 0 1 1 0 1 0 1 1 0 -1 0] [-1 -1 1 0 -1 1 0 4 -1 1 -1 1 0 1 0 -1 -1 1 0 -1 0 2] [ 2 2 -2 2 -1 1 0 -1 4 -2 1 -1 1 0 -2 0 0 1 1 2 0 0] [-2 0 0 0 0 -1 0 1 -2 4 -1 1 -1 0 2 1 1 0 0 -1 0 1] [ 2 1 -2 1 -1 1 0 -1 1 -1 4 1 1 1 -1 -1 -1 1 1 1 2 -1] [-1 0 -1 -1 -1 0 0 1 -1 1 1 4 0 1 -1 0 0 1 0 -1 1 0] [ 1 1 -1 0 0 1 1 0 1 -1 1 0 4 0 -2 0 0 0 1 1 1 0] [ 2 2 0 1 -4 0 1 1 0 0 1 1 0 6 -1 -1 -1 4 0 0 1 1] [-1 -1 1 0 1 -1 0 0 -2 2 -1 -1 -2 -1 4 1 1 -1 0 -1 -1 0] [-1 1 -1 0 1 -1 1 -1 0 1 -1 0 0 -1 1 4 2 0 0 0 0 -1] [-1 1 -1 0 0 -1 0 -1 0 1 -1 0 0 -1 1 2 4 -1 0 0 0 -1] [ 2 2 0 1 -4 0 1 1 1 0 1 1 0 4 -1 0 -1 6 1 0 1 1] [ 1 0 -1 1 -1 2 1 0 1 0 1 0 1 0 0 0 0 1 4 0 0 1] [ 1 2 -2 2 0 1 0 -1 2 -1 1 -1 1 0 -1 0 0 0 0 4 1 0] [ 0 1 -1 0 -1 1 -1 0 0 0 2 1 1 1 -1 0 0 1 0 1 4 -1] [-1 0 1 0 -1 1 0 2 0 1 -1 0 0 1 0 -1 -1 1 1 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1087. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 -1 0 1 0 -1 -2 1 1 1 0 2 1 -1 2 0 -1 -2 0] [-2 4 1 -1 -1 0 -1 1 1 2 0 0 -1 1 -2 -1 0 -1 0 -1 1 -1] [ 0 1 4 1 -2 0 1 -1 0 1 -1 1 1 2 -1 1 -1 1 -1 1 0 1] [ 1 -1 1 4 -1 -1 2 0 0 -1 1 1 2 1 1 1 1 2 1 1 1 1] [-1 -1 -2 -1 6 2 0 2 -2 0 -1 0 0 -3 0 -1 2 -3 -1 2 2 -1] [ 0 0 0 -1 2 4 -1 1 -2 0 -1 -1 0 0 0 -1 -1 -2 -2 2 1 -1] [ 1 -1 1 2 0 -1 4 -1 -1 -1 1 2 2 0 1 2 0 2 1 1 -1 0] [ 0 1 -1 0 2 1 -1 4 0 0 0 0 0 -1 0 -1 1 -2 -1 -1 2 -1] [-1 1 0 0 -2 -2 -1 0 4 0 1 0 0 1 0 -1 1 0 1 -2 1 0] [-2 2 1 -1 0 0 -1 0 0 4 -2 0 -2 0 -2 0 0 0 0 1 1 0] [ 1 0 -1 1 -1 -1 1 0 1 -2 4 1 1 1 1 0 1 0 2 -2 0 0] [ 1 0 1 1 0 -1 2 0 0 0 1 4 0 1 0 2 1 2 0 -1 -1 1] [ 1 -1 1 2 0 0 2 0 0 -2 1 0 4 0 1 0 0 0 0 1 1 0] [ 0 1 2 1 -3 0 0 -1 1 0 1 1 0 4 0 1 -1 1 0 -1 0 1] [ 2 -2 -1 1 0 0 1 0 0 -2 1 0 1 0 4 1 0 0 1 0 -1 0] [ 1 -1 1 1 -1 -1 2 -1 -1 0 0 2 0 1 1 4 0 2 0 0 -2 2] [-1 0 -1 1 2 -1 0 1 1 0 1 1 0 -1 0 0 4 -1 1 0 2 1] [ 2 -1 1 2 -3 -2 2 -2 0 0 0 2 0 1 0 2 -1 6 1 0 -2 1] [ 0 0 -1 1 -1 -2 1 -1 1 0 2 0 0 0 1 0 1 1 4 -1 0 0] [-1 -1 1 1 2 2 1 -1 -2 1 -2 -1 1 -1 0 0 0 0 -1 6 2 0] [-2 1 0 1 2 1 -1 2 1 1 0 -1 1 0 -1 -2 2 -2 0 2 6 -1] [ 0 -1 1 1 -1 -1 0 -1 0 0 0 1 0 1 0 2 1 1 0 0 -1 4] |Aut| = [ <2, 4> ] Modular = false LatDB = - 1088. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -1 -1 -1 1 1 1 -2 -1 -1 1 -1 0 -1 1 2 -1 -1 -2] [ 1 4 1 0 -2 -2 0 -1 1 1 -1 -2 -1 -1 -2 -1 -2 0 0 0 -1 1] [ 2 1 4 -1 0 -2 0 1 1 2 -2 -1 0 -1 -1 1 -2 1 2 -1 -1 -2] [ 1 0 -1 4 0 1 -1 1 0 0 1 -1 0 1 1 0 0 1 0 -1 1 -1] [-1 -2 0 0 4 0 -1 2 -1 -1 1 2 1 0 1 1 0 1 1 -1 1 -1] [-1 -2 -2 1 0 4 1 0 -1 -1 1 1 1 0 1 1 2 -1 -1 1 0 1] [-1 0 0 -1 -1 1 4 -2 -1 0 -1 0 -1 -2 1 -1 1 0 -1 0 -1 0] [ 1 -1 1 1 2 0 -2 4 1 0 1 0 1 1 0 2 -1 1 2 -1 1 -1] [ 1 1 1 0 -1 -1 -1 1 4 2 0 -2 0 1 -1 0 0 -1 1 1 -1 1] [ 1 1 2 0 -1 -1 0 0 2 4 -1 -1 0 0 -1 0 0 -1 1 1 -1 -1] [-2 -1 -2 1 1 1 -1 1 0 -1 4 1 1 0 0 1 0 -1 -1 1 2 1] [-1 -2 -1 -1 2 1 0 0 -2 -1 1 6 2 0 1 1 1 0 -1 0 1 -2] [-1 -1 0 0 1 1 -1 1 0 0 1 2 4 0 0 2 0 -1 -1 0 1 0] [ 1 -1 -1 1 0 0 -2 1 1 0 0 0 0 4 0 0 1 0 0 0 1 0] [-1 -2 -1 1 1 1 1 0 -1 -1 0 1 0 0 4 -1 1 1 0 -1 0 -1] [ 0 -1 1 0 1 1 -1 2 0 0 1 1 2 0 -1 4 0 0 0 0 1 0] [-1 -2 -2 0 0 2 1 -1 0 0 0 1 0 1 1 0 4 -1 -1 1 0 1] [ 1 0 1 1 1 -1 0 1 -1 -1 -1 0 -1 0 1 0 -1 4 1 -2 1 -2] [ 2 0 2 0 1 -1 -1 2 1 1 -1 -1 -1 0 0 0 -1 1 4 -1 -1 -1] [-1 0 -1 -1 -1 1 0 -1 1 1 1 0 0 0 -1 0 1 -2 -1 4 0 2] [-1 -1 -1 1 1 0 -1 1 -1 -1 2 1 1 1 0 1 0 1 -1 0 4 -1] [-2 1 -2 -1 -1 1 0 -1 1 -1 1 -2 0 0 -1 0 1 -2 -1 2 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1089. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 -2 -2 0 0 -1 -2 1 -1 1 1 -1 0 1 0 2 2 0 -1] [-1 6 -3 1 -1 1 -1 2 -1 2 1 3 1 2 -1 2 1 2 -1 1 -2 2] [ 2 -3 6 -2 -1 -2 2 -1 2 -1 1 0 1 -1 -1 -1 -2 -1 2 1 1 -1] [ 0 1 -2 4 1 1 -2 2 -2 0 0 0 0 1 0 -1 1 1 0 0 -1 0] [-2 -1 -1 1 4 2 0 1 0 0 -1 0 -2 -1 1 0 -1 -1 0 -1 1 -1] [-2 1 -2 1 2 4 -1 1 0 0 0 1 -1 0 0 0 1 1 -1 -1 -1 1] [ 0 -1 2 -2 0 -1 4 0 1 0 1 1 -1 0 1 1 -2 -1 1 0 1 -1] [ 0 2 -1 2 1 1 0 4 -2 0 1 1 0 2 -1 0 0 1 1 1 -1 0] [-1 -1 2 -2 0 0 1 -2 4 1 0 1 0 -2 0 0 -1 0 -1 -1 0 0] [-2 2 -1 0 0 0 0 0 1 4 -1 2 0 0 1 0 -1 0 -2 0 0 0] [ 1 1 1 0 -1 0 1 1 0 -1 4 2 0 0 -1 0 1 1 1 1 -1 0] [-1 3 0 0 0 1 1 1 1 2 2 6 0 0 -1 0 0 2 -1 0 -1 1] [ 1 1 1 0 -2 -1 -1 0 0 0 0 0 4 0 -1 -1 1 0 1 1 0 1] [ 1 2 -1 1 -1 0 0 2 -2 0 0 0 0 4 -1 1 0 1 0 1 -1 1] [-1 -1 -1 0 1 0 1 -1 0 1 -1 -1 -1 -1 4 1 -1 -2 0 0 2 -2] [ 0 2 -1 -1 0 0 1 0 0 0 0 0 -1 1 1 4 -1 0 0 1 0 0] [ 1 1 -2 1 -1 1 -2 0 -1 -1 1 0 1 0 -1 -1 4 1 0 0 -1 1] [ 0 2 -1 1 -1 1 -1 1 0 0 1 2 0 1 -2 0 1 4 -1 0 -2 2] [ 2 -1 2 0 0 -1 1 1 -1 -2 1 -1 1 0 0 0 0 -1 4 1 1 -1] [ 2 1 1 0 -1 -1 0 1 -1 0 1 0 1 1 0 1 0 0 1 4 1 -1] [ 0 -2 1 -1 1 -1 1 -1 0 0 -1 -1 0 -1 2 0 -1 -2 1 1 4 -2] [-1 2 -1 0 -1 1 -1 0 0 0 0 1 1 1 -2 0 1 2 -1 -1 -2 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1090. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 -2 -2 -1 1 1 1 -1 1 1 -1 -2 2 0 1 0 0 0] [ 2 6 0 2 1 -3 -1 -1 0 0 -2 -3 -1 2 -1 -3 1 -2 2 2 1 0] [ 0 0 4 -1 -1 0 1 1 2 2 -1 2 1 0 -2 -2 0 1 -1 -1 0 1] [ 1 2 -1 4 0 -1 0 -2 -1 0 1 -2 0 2 1 -2 -1 -1 1 1 0 0] [ 2 1 -1 0 4 -2 -2 0 -1 -1 1 -2 1 -1 0 1 1 0 0 0 -1 -1] [-2 -3 0 -1 -2 4 2 1 0 0 1 2 -1 0 0 1 -1 0 0 0 0 1] [-2 -1 1 0 -2 2 4 1 0 0 -1 2 -1 1 0 0 -2 -1 -1 1 0 0] [-1 -1 1 -2 0 1 1 4 1 -1 -1 2 1 -1 0 1 1 0 -1 0 1 0] [ 1 0 2 -1 -1 0 0 1 4 2 0 2 1 1 -1 -1 1 0 -1 0 0 0] [ 1 0 2 0 -1 0 0 -1 2 4 1 1 0 1 -1 -1 0 0 -1 0 0 1] [ 1 -2 -1 1 1 1 -1 -1 0 1 6 1 0 0 1 1 -1 1 -1 -1 -2 -1] [-1 -3 2 -2 -2 2 2 2 2 1 1 6 1 -1 0 1 0 1 -2 -1 -1 -1] [ 1 -1 1 0 1 -1 -1 1 1 0 0 1 4 -1 0 0 1 1 -1 -1 0 0] [ 1 2 0 2 -1 0 1 -1 1 1 0 -1 -1 4 0 -2 -1 -1 1 1 1 0] [-1 -1 -2 1 0 0 0 0 -1 -1 1 0 0 0 4 2 -1 -1 -1 0 0 -1] [-2 -3 -2 -2 1 1 0 1 -1 -1 1 1 0 -2 2 6 0 0 -2 0 -1 -1] [ 2 1 0 -1 1 -1 -2 1 1 0 -1 0 1 -1 -1 0 4 0 1 0 1 1] [ 0 -2 1 -1 0 0 -1 0 0 0 1 1 1 -1 -1 0 0 4 0 -2 0 0] [ 1 2 -1 1 0 0 -1 -1 -1 -1 -1 -2 -1 1 -1 -2 1 0 4 0 1 1] [ 0 2 -1 1 0 0 1 0 0 0 -1 -1 -1 1 0 0 0 -2 0 4 1 0] [ 0 1 0 0 -1 0 0 1 0 0 -2 -1 0 1 0 -1 1 0 1 1 4 1] [ 0 0 1 0 -1 1 0 0 0 1 -1 -1 0 0 -1 -1 1 0 1 0 1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1091. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 1 -2 -1 2 0 -1 -1 -1 1 2 0 2 1 -1 1 1 -1 -2] [ 1 4 -1 1 0 0 1 2 -1 -1 0 -1 0 2 1 -1 0 -2 1 2 -1 -2] [ 0 -1 4 -2 -1 0 0 -2 1 2 0 1 -1 -1 -2 0 0 -1 -1 1 0 0] [-2 1 -2 6 -1 1 2 0 1 0 -1 -1 1 -2 1 -1 -2 -1 1 1 1 2] [ 1 0 -1 -1 4 -1 0 0 -1 -2 1 0 1 1 0 2 2 2 0 -2 -1 -2] [-2 0 0 1 -1 4 1 -2 -1 0 1 0 -2 -2 -1 -2 -1 -1 -1 1 0 0] [-1 1 0 2 0 1 4 0 1 0 0 -1 -1 -2 0 -1 0 -2 -1 2 1 -1] [ 2 2 -2 0 0 -2 0 6 1 0 -1 -2 1 2 3 1 1 0 2 0 -1 -2] [ 0 -1 1 1 -1 -1 1 1 4 1 -1 -1 0 -1 1 1 -1 -1 0 1 0 0] [-1 -1 2 0 -2 0 0 0 1 4 -1 0 0 -1 0 -1 -1 0 0 0 1 1] [-1 0 0 -1 1 1 0 -1 -1 -1 4 2 -1 0 -1 -1 1 0 -2 -1 0 0] [-1 -1 1 -1 0 0 -1 -2 -1 0 2 4 -1 -1 -1 0 0 0 -1 -1 0 1] [ 1 0 -1 1 1 -2 -1 1 0 0 -1 -1 4 2 1 1 0 2 2 -2 0 1] [ 2 2 -1 -2 1 -2 -2 2 -1 -1 0 -1 2 6 2 0 0 1 2 -1 -1 -1] [ 0 1 -2 1 0 -1 0 3 1 0 -1 -1 1 2 4 0 -1 1 2 -1 -1 -1] [ 2 -1 0 -1 2 -2 -1 1 1 -1 -1 0 1 0 0 4 1 1 1 -1 -1 -1] [ 1 0 0 -2 2 -1 0 1 -1 -1 1 0 0 0 -1 1 4 1 -1 -1 0 -1] [-1 -2 -1 -1 2 -1 -2 0 -1 0 0 0 2 1 1 1 1 6 1 -4 0 1] [ 1 1 -1 1 0 -1 -1 2 0 0 -2 -1 2 2 2 1 -1 1 4 -1 -1 0] [ 1 2 1 1 -2 1 2 0 1 0 -1 -1 -2 -1 -1 -1 -1 -4 -1 6 1 -1] [-1 -1 0 1 -1 0 1 -1 0 1 0 0 0 -1 -1 -1 0 0 -1 1 4 2] [-2 -2 0 2 -2 0 -1 -2 0 1 0 1 1 -1 -1 -1 -1 1 0 -1 2 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1092. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 0 1 0 -1 0 2 -2 0 -1 1 1 -1 -1 1 -1 -1 1 0 2] [-1 4 -1 1 -2 1 2 -1 -2 2 0 1 -1 -2 1 0 -2 1 1 1 0 -2] [ 0 -1 4 -2 -1 1 0 1 2 1 -1 0 -1 0 0 -1 -1 -2 -2 0 -1 2] [ 0 1 -2 4 0 1 -1 -2 0 1 0 0 0 -1 -1 -1 1 0 1 0 0 -2] [ 1 -2 -1 0 4 -2 -1 1 0 -3 0 0 2 1 -1 1 1 0 -1 -1 0 0] [ 0 1 1 1 -2 4 1 -1 2 2 -1 -1 0 0 0 -1 -1 0 1 0 -1 1] [-1 2 0 -1 -1 1 4 0 -1 1 -1 0 0 -1 1 0 -2 2 1 1 -1 -1] [ 0 -1 1 -2 1 -1 0 4 1 0 0 1 1 1 -1 1 0 0 -1 0 0 2] [ 2 -2 2 0 0 2 -1 1 6 0 0 0 1 1 -2 -1 1 -1 -1 0 0 3] [-2 2 1 1 -3 2 1 0 0 6 0 1 -2 -1 1 0 -2 0 1 1 0 -1] [ 0 0 -1 0 0 -1 -1 0 0 0 4 0 -1 1 -1 1 1 1 1 1 1 -1] [-1 1 0 0 0 -1 0 1 0 1 0 4 -1 -2 0 1 -1 0 -1 -1 0 -1] [ 1 -1 -1 0 2 0 0 1 1 -2 -1 -1 4 1 0 0 1 1 0 0 1 2] [ 1 -2 0 -1 1 0 -1 1 1 -1 1 -2 1 4 -1 1 1 0 0 0 1 2] [-1 1 0 -1 -1 0 1 -1 -2 1 -1 0 0 -1 4 0 -2 0 1 0 0 0] [-1 0 -1 -1 1 -1 0 1 -1 0 1 1 0 1 0 4 0 1 0 -1 1 0] [ 1 -2 -1 1 1 -1 -2 0 1 -2 1 -1 1 1 -2 0 4 0 0 0 1 1] [-1 1 -2 0 0 0 2 0 -1 0 1 0 1 0 0 1 0 4 2 1 1 -1] [-1 1 -2 1 -1 1 1 -1 -1 1 1 -1 0 0 1 0 0 2 4 0 0 -1] [ 1 1 0 0 -1 0 1 0 0 1 1 -1 0 0 0 -1 0 1 0 4 1 0] [ 0 0 -1 0 0 -1 -1 0 0 0 1 0 1 1 0 1 1 1 0 1 4 0] [ 2 -2 2 -2 0 1 -1 2 3 -1 -1 -1 2 2 0 0 1 -1 -1 0 0 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1093. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 1 0 1 -2 0 -2 0 0 1 1 1 0 1 0 -1 -1 1] [ 1 4 0 0 -1 1 1 2 0 -1 1 1 1 1 2 -1 1 -1 1 1 1 1] [-1 0 4 -2 -1 1 -1 1 2 -1 2 -1 -1 0 -1 1 -1 1 -1 -1 0 -1] [ 2 0 -2 4 -1 -1 0 -1 -2 1 -1 1 1 1 1 1 0 0 0 0 -1 1] [-1 -1 -1 -1 4 0 -1 -1 0 -1 -1 0 -1 -1 0 0 -1 -1 1 1 1 -1] [ 1 1 1 -1 0 4 1 2 0 -1 1 0 -1 -1 -1 0 1 1 -1 -1 1 1] [ 0 1 -1 0 -1 1 4 1 -1 1 1 1 0 -1 0 -1 1 0 -1 0 0 2] [ 1 2 1 -1 -1 2 1 4 1 0 1 0 -1 1 0 0 0 0 -1 0 1 0] [-2 0 2 -2 0 0 -1 1 4 -1 2 0 0 0 0 0 -1 0 0 0 1 -1] [ 0 -1 -1 1 -1 -1 1 0 -1 4 0 1 -1 1 -1 1 0 0 0 0 0 0] [-2 1 2 -1 -1 1 1 1 2 0 6 2 0 1 -1 0 1 1 -1 -1 2 -1] [ 0 1 -1 1 0 0 1 0 0 1 2 4 0 1 0 0 1 -1 1 1 1 0] [ 0 1 -1 1 -1 -1 0 -1 0 -1 0 0 4 0 1 -1 1 -1 0 0 0 1] [ 1 1 0 1 -1 -1 -1 1 0 1 1 1 0 4 0 1 0 0 0 0 1 -1] [ 1 2 -1 1 0 -1 0 0 0 -1 -1 0 1 0 4 -1 -1 -1 2 1 -1 1] [ 1 -1 1 1 0 0 -1 0 0 1 0 0 -1 1 -1 4 -1 1 -1 -1 0 0] [ 0 1 -1 0 -1 1 1 0 -1 0 1 1 1 0 -1 -1 4 0 0 0 1 1] [ 1 -1 1 0 -1 1 0 0 0 0 1 -1 -1 0 -1 1 0 4 -1 -2 0 0] [ 0 1 -1 0 1 -1 -1 -1 0 0 -1 1 0 0 2 -1 0 -1 4 1 0 0] [-1 1 -1 0 1 -1 0 0 0 0 -1 1 0 0 1 -1 0 -2 1 4 1 0] [-1 1 0 -1 1 1 0 1 1 0 2 1 0 1 -1 0 1 0 0 1 4 -1] [ 1 1 -1 1 -1 1 2 0 -1 0 -1 0 1 -1 1 0 1 0 0 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1094. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 -2 1 -1 0 0 1 -1 -1 0 0 1 -1 1 1 -1 0] [ 1 4 1 -2 1 1 -1 0 1 0 0 2 0 -2 0 1 -1 -1 1 1 0 1] [ 2 1 4 0 0 2 -2 0 0 0 1 2 -1 -1 -1 -1 -1 -2 0 2 -1 -1] [-1 -2 0 4 -1 -1 1 1 -1 -1 0 -2 1 0 -1 -2 0 0 -1 0 0 -2] [-1 1 0 -1 4 -1 0 -2 0 1 -1 2 -1 -1 -1 0 -2 0 1 0 0 1] [ 1 1 2 -1 -1 4 -2 0 0 1 1 0 -1 -1 1 1 -1 -1 -1 1 -1 -1] [-2 -1 -2 1 0 -2 4 0 0 0 -1 -1 1 1 0 -1 0 2 0 -2 2 0] [ 1 0 0 1 -2 0 0 4 0 0 1 -2 2 0 0 -1 1 0 0 0 1 -1] [-1 1 0 -1 0 0 0 0 4 -1 0 0 1 1 1 0 -1 -1 1 1 1 0] [ 0 0 0 -1 1 1 0 0 -1 4 1 1 -1 -1 -1 1 -1 0 0 0 1 1] [ 0 0 1 0 -1 1 -1 1 0 1 4 0 1 0 -1 0 1 0 0 0 0 0] [ 1 2 2 -2 2 0 -1 -2 0 1 0 6 -2 -1 -2 1 -1 -2 0 1 0 2] [-1 0 -1 1 -1 -1 1 2 1 -1 1 -2 4 0 1 -1 1 0 1 0 1 0] [-1 -2 -1 0 -1 -1 1 0 1 -1 0 -1 0 4 0 0 1 1 -1 -1 1 0] [ 0 0 -1 -1 -1 1 0 0 1 -1 -1 -2 1 0 4 0 0 0 1 0 -1 0] [ 0 1 -1 -2 0 1 -1 -1 0 1 0 1 -1 0 0 4 1 0 -1 0 0 2] [ 1 -1 -1 0 -2 -1 0 1 -1 -1 1 -1 1 1 0 1 4 1 0 -1 0 1] [-1 -1 -2 0 0 -1 2 0 -1 0 0 -2 0 1 0 0 1 4 0 -2 1 0] [ 1 1 0 -1 1 -1 0 0 1 0 0 0 1 -1 1 -1 0 0 4 0 0 1] [ 1 1 2 0 0 1 -2 0 1 0 0 1 0 -1 0 0 -1 -2 0 4 0 0] [-1 0 -1 0 0 -1 2 1 1 1 0 0 1 1 -1 0 0 1 0 0 4 0] [ 0 1 -1 -2 1 -1 0 -1 0 1 0 2 0 0 0 2 1 0 1 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1095. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 1 1 0 0 -2 0 -2 -1 0 0 -1 2 -2 -1 -2 -1 0] [-2 6 2 -2 -1 -3 -1 0 1 1 -2 2 -1 -1 -1 2 -1 3 -1 1 1 -2] [ 0 2 4 -2 0 -1 1 -1 0 0 -1 2 -2 0 0 1 0 0 -1 0 0 -1] [ 0 -2 -2 4 1 1 1 1 -1 0 2 -2 1 -1 0 -2 -1 -1 2 0 0 0] [-1 -1 0 1 4 2 1 -1 0 1 0 1 1 0 1 1 -1 1 1 1 0 1] [ 1 -3 -1 1 2 6 -1 0 1 1 1 -1 2 -1 -1 -1 -1 0 -1 1 -2 1] [ 1 -1 1 1 1 -1 6 1 -1 0 2 0 -2 0 0 1 1 -3 0 0 0 -1] [ 0 0 -1 1 -1 0 1 4 -1 0 1 -1 0 0 -1 0 1 0 0 0 -1 0] [ 0 1 0 -1 0 1 -1 -1 4 0 0 0 1 -1 -1 1 0 2 -1 0 -1 0] [-2 1 0 0 1 1 0 0 0 4 1 1 1 0 0 1 -2 1 -1 2 0 -1] [ 0 -2 -1 2 0 1 2 1 0 1 4 -1 1 -1 0 -1 0 -2 0 1 -1 -1] [-2 2 2 -2 1 -1 0 -1 0 1 -1 4 -1 1 0 2 0 1 0 1 0 0] [-1 -1 -2 1 1 2 -2 0 1 1 1 -1 4 0 1 0 -1 2 0 1 -1 1] [ 0 -1 0 -1 0 -1 0 0 -1 0 -1 1 0 4 1 1 1 0 0 -1 0 2] [ 0 -1 0 0 1 -1 0 -1 -1 0 0 0 1 1 4 1 0 0 1 0 1 0] [-1 2 1 -2 1 -1 1 0 1 1 -1 2 0 1 1 4 0 2 -1 1 0 0] [ 2 -1 0 -1 -1 -1 1 1 0 -2 0 0 -1 1 0 0 4 -1 0 -2 -1 1] [-2 3 0 -1 1 0 -3 0 2 1 -2 1 2 0 0 2 -1 6 0 1 0 1] [-1 -1 -1 2 1 -1 0 0 -1 -1 0 0 0 0 1 -1 0 0 4 -1 1 1] [-2 1 0 0 1 1 0 0 0 2 1 1 1 -1 0 1 -2 1 -1 4 1 -1] [-1 1 0 0 0 -2 0 -1 -1 0 -1 0 -1 0 1 0 -1 0 1 1 4 -1] [ 0 -2 -1 0 1 1 -1 0 0 -1 -1 0 1 2 0 0 1 1 1 -1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1096. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 -1 -1 0 1 -2 2 2 1 -1 -1 2 0 -1 1 0 -2 1 0] [ 2 4 -1 0 -1 0 -1 -1 -2 1 0 0 0 0 0 -1 -1 1 0 -2 0 1] [ 0 -1 4 1 2 0 -1 1 1 1 1 1 1 -1 2 0 -1 1 -1 1 0 -2] [ 1 0 1 4 1 -2 0 0 -1 1 0 1 0 -1 2 -1 1 2 1 -1 -1 0] [-1 -1 2 1 4 1 -1 0 1 -1 -1 1 2 0 0 -1 0 1 1 1 -1 0] [-1 0 0 -2 1 4 0 0 1 -1 -1 -1 0 0 -1 0 -1 -1 -1 1 0 0] [ 0 -1 -1 0 -1 0 4 1 1 -1 0 1 -2 -1 1 0 2 -1 -1 1 -1 1] [ 1 -1 1 0 0 0 1 4 1 1 1 1 -1 0 2 1 -1 -1 0 1 0 0] [-2 -2 1 -1 1 1 1 1 4 -1 -1 1 0 1 0 1 0 -1 -1 2 -1 0] [ 2 1 1 1 -1 -1 -1 1 -1 4 2 1 0 0 2 1 -1 1 0 -1 1 -1] [ 2 0 1 0 -1 -1 0 1 -1 2 4 0 -1 0 2 0 0 1 -1 -1 2 -1] [ 1 0 1 1 1 -1 1 1 1 1 0 4 0 0 2 1 0 0 0 1 -1 1] [-1 0 1 0 2 0 -2 -1 0 0 -1 0 4 1 -2 0 0 0 1 0 -1 -1] [-1 0 -1 -1 0 0 -1 0 1 0 0 0 1 4 -2 1 0 -1 0 0 0 1] [ 2 0 2 2 0 -1 1 2 0 2 2 2 -2 -2 6 -1 -1 2 0 0 1 0] [ 0 -1 0 -1 -1 0 0 1 1 1 0 1 0 1 -1 4 0 -2 -1 1 0 0] [-1 -1 -1 1 0 -1 2 -1 0 -1 0 0 0 0 -1 0 4 0 0 0 -1 1] [ 1 1 1 2 1 -1 -1 -1 -1 1 1 0 0 -1 2 -2 0 4 1 -1 1 0] [ 0 0 -1 1 1 -1 -1 0 -1 0 -1 0 1 0 0 -1 0 1 4 -1 0 1] [-2 -2 1 -1 1 1 1 1 2 -1 -1 1 0 0 0 1 0 -1 -1 4 0 0] [ 1 0 0 -1 -1 0 -1 0 -1 1 2 -1 -1 0 1 0 -1 1 0 0 4 -1] [ 0 1 -2 0 0 0 1 0 0 -1 -1 1 -1 1 0 0 1 0 1 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1097. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 1 1 1 -1 1 1 2 -1 -1 -1 1 0 1 -2 2] [ 1 4 -1 0 -1 0 1 0 2 0 1 -1 -1 2 0 1 0 -1 -1 2 -1 2] [-1 -1 4 -1 0 1 0 1 0 -2 0 0 0 -2 -1 0 2 0 2 0 0 1] [-1 0 -1 4 -1 -2 0 -2 0 -1 -1 -2 -1 -1 1 2 0 0 -2 0 2 -1] [ 1 -1 0 -1 4 0 1 0 -1 1 0 0 1 0 -1 0 1 2 1 -1 -2 0] [ 1 0 1 -2 0 4 1 0 0 0 -1 2 1 1 0 -2 -1 0 2 0 0 2] [ 2 1 0 0 1 1 4 -1 1 0 -1 1 0 0 -1 1 0 1 1 1 -2 1] [ 1 0 1 -2 0 0 -1 4 1 0 0 1 1 1 0 -1 1 -1 0 1 -1 1] [ 1 2 0 0 -1 0 1 1 4 -1 0 -1 -1 2 1 1 0 -1 -1 2 -1 1] [ 1 0 -2 -1 1 0 0 0 -1 4 1 2 1 2 -1 -1 -1 1 0 -1 0 0] [-1 1 0 -1 0 -1 -1 0 0 1 4 0 0 0 0 1 1 -1 0 0 0 -1] [ 1 -1 0 -2 0 2 1 1 -1 2 0 6 1 1 -1 -1 0 1 2 -1 -1 1] [ 1 -1 0 -1 1 1 0 1 -1 1 0 1 4 -1 0 -1 -1 0 0 -1 1 -1] [ 2 2 -2 -1 0 1 0 1 2 2 0 1 -1 6 0 -1 -1 0 -1 1 -1 3] [-1 0 -1 1 -1 0 -1 0 1 -1 0 -1 0 0 4 1 -1 -2 -1 1 2 -2] [-1 1 0 2 0 -2 1 -1 1 -1 1 -1 -1 -1 1 4 1 0 -1 1 0 -1] [-1 0 2 0 1 -1 0 1 0 -1 1 0 -1 -1 -1 1 4 0 1 0 -1 1] [ 1 -1 0 0 2 0 1 -1 -1 1 -1 1 0 0 -2 0 0 4 1 -1 -1 1] [ 0 -1 2 -2 1 2 1 0 -1 0 0 2 0 -1 -1 -1 1 1 4 -1 -1 1] [ 1 2 0 0 -1 0 1 1 2 -1 0 -1 -1 1 1 1 0 -1 -1 4 0 1] [-2 -1 0 2 -2 0 -2 -1 -1 0 0 -1 1 -1 2 0 -1 -1 -1 0 6 -2] [ 2 2 1 -1 0 2 1 1 1 0 -1 1 -1 3 -2 -1 1 1 1 1 -2 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1098. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 1 -1 1 -2 -1 -1 -1 1 -2 2 1 1 -1 -1 1 -1 0 0 -1] [ 0 4 -2 2 2 1 1 -2 -2 -1 2 -1 0 -1 0 0 2 1 -1 0 1 0] [-1 -2 4 -2 -2 -1 0 1 0 1 -2 1 0 1 0 0 -1 -1 2 -1 0 -1] [ 1 2 -2 4 2 0 0 -1 -2 -2 2 0 0 0 -1 0 1 1 -1 -1 1 0] [-1 2 -2 2 6 -1 2 1 0 -2 1 2 -1 -2 -1 1 2 -1 0 0 1 -1] [ 1 1 -1 0 -1 4 -1 -2 1 0 1 -2 2 0 0 1 1 2 0 0 -1 1] [-2 1 0 0 2 -1 4 0 -1 0 0 1 -2 -2 -1 0 1 -1 1 0 0 0] [-1 -2 1 -1 1 -2 0 4 1 0 -2 2 -1 0 -1 1 0 -1 0 0 0 -1] [-1 -2 0 -2 0 1 -1 1 6 0 0 1 0 -1 1 0 0 0 1 0 -1 0] [-1 -1 1 -2 -2 0 0 0 0 4 -1 0 -1 0 0 0 -1 -1 1 1 -1 1] [ 1 2 -2 2 1 1 0 -2 0 -1 4 -1 1 -1 0 0 0 1 0 -1 1 0] [-2 -1 1 0 2 -2 1 2 1 0 -1 4 -1 0 -1 1 0 -1 1 -1 1 -1] [ 2 0 0 0 -1 2 -2 -1 0 -1 1 -1 4 1 0 1 -1 1 0 -1 0 0] [ 1 -1 1 0 -2 0 -2 0 -1 0 -1 0 1 4 1 0 -1 0 -1 -1 1 0] [ 1 0 0 -1 -1 0 -1 -1 1 0 0 -1 0 1 4 -1 -1 -1 0 1 1 0] [-1 0 0 0 1 1 0 1 0 0 0 1 1 0 -1 4 0 0 1 0 1 1] [-1 2 -1 1 2 1 1 0 0 -1 0 0 -1 -1 -1 0 4 1 -1 0 0 0] [ 1 1 -1 1 -1 2 -1 -1 0 -1 1 -1 1 0 -1 0 1 4 -1 0 0 0] [-1 -1 2 -1 0 0 1 0 1 1 0 1 0 -1 0 1 -1 -1 4 -1 0 0] [ 0 0 -1 -1 0 0 0 0 0 1 -1 -1 -1 -1 1 0 0 0 -1 4 0 1] [ 0 1 0 1 1 -1 0 0 -1 -1 1 1 0 1 1 1 0 0 0 0 4 -1] [-1 0 -1 0 -1 1 0 -1 0 1 0 -1 0 0 0 1 0 0 0 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1099. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 2 1 1 1 0 2 -2 2 1 -1 -2 2 2 0 1] [ 1 4 0 -2 0 0 2 -1 -1 1 2 0 1 -2 2 -1 1 0 1 0 0 -1] [-1 0 4 -1 0 0 1 -2 -2 -1 0 -1 -2 1 1 1 -1 0 0 0 0 -1] [-1 -2 -1 4 -1 0 -2 1 1 -1 -2 1 0 1 -2 1 0 1 -2 -1 -1 1] [ 1 0 0 -1 4 -1 2 2 0 1 0 -2 1 0 2 0 -2 0 2 0 2 0] [ 1 0 0 0 -1 4 0 1 1 1 -1 -1 0 0 -1 1 -1 0 0 0 0 -1] [ 2 2 1 -2 2 0 6 2 -2 2 1 -1 2 -2 4 1 -1 -2 3 2 0 -1] [ 2 -1 -2 1 2 1 2 6 2 2 -1 0 2 -1 1 2 -2 -1 1 1 0 0] [ 1 -1 -2 1 0 1 -2 2 4 0 0 0 0 0 -1 1 -1 0 0 0 0 1] [ 1 1 -1 -1 1 1 2 2 0 4 0 -1 1 0 2 0 0 0 1 0 0 -1] [ 1 2 0 -2 0 -1 1 -1 0 0 4 0 1 -2 2 0 1 -1 1 1 -1 1] [ 0 0 -1 1 -2 -1 -1 0 0 -1 0 4 0 -1 -1 0 2 -1 -1 1 -1 1] [ 2 1 -2 0 1 0 2 2 0 1 1 0 4 -2 1 0 0 -1 1 1 0 1] [-2 -2 1 1 0 0 -2 -1 0 0 -2 -1 -2 4 -1 0 -1 2 -1 -2 1 -1] [ 2 2 1 -2 2 -1 4 1 -1 2 2 -1 1 -1 6 1 -1 -2 2 1 0 0] [ 1 -1 1 1 0 1 1 2 1 0 0 0 0 0 1 4 -1 -1 0 1 -1 1] [-1 1 -1 0 -2 -1 -1 -2 -1 0 1 2 0 -1 -1 -1 4 0 -1 0 -1 1] [-2 0 0 1 0 0 -2 -1 0 0 -1 -1 -1 2 -2 -1 0 4 -1 -2 1 -1] [ 2 1 0 -2 2 0 3 1 0 1 1 -1 1 -1 2 0 -1 -1 4 1 1 0] [ 2 0 0 -1 0 0 2 1 0 0 1 1 1 -2 1 1 0 -2 1 4 0 1] [ 0 0 0 -1 2 0 0 0 0 0 -1 -1 0 1 0 -1 -1 1 1 0 4 -1] [ 1 -1 -1 1 0 -1 -1 0 1 -1 1 1 1 -1 0 1 1 -1 0 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1100. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -1 2 -1 -2 -1 1 2 1 -1 0 -2 -2 -1 2 2 0 2] [ 1 4 -1 -2 0 -2 1 -2 -1 0 2 2 2 0 -1 -2 -1 0 -1 2 1 2] [-1 -1 4 0 1 0 0 0 0 2 0 1 0 -1 -1 -1 0 -1 -2 1 1 1] [-1 -2 0 4 0 1 -1 0 2 0 -2 -2 0 0 2 2 1 -1 0 -2 -2 -2] [ 1 0 1 0 4 -2 1 -1 0 1 0 2 2 0 0 0 -2 0 0 0 0 1] [-1 -2 0 1 -2 4 0 2 0 0 -1 -1 -3 -1 1 0 2 0 0 0 -1 -2] [ 2 1 0 -1 1 0 4 -1 -1 1 1 3 0 -1 0 -1 0 -1 1 2 0 2] [-1 -2 0 0 -1 2 -1 4 1 0 -1 -1 -3 0 0 1 1 0 1 -1 0 -1] [-2 -1 0 2 0 0 -1 1 4 0 -1 -1 0 1 1 3 1 0 0 -2 -1 -1] [-1 0 2 0 1 0 1 0 0 4 -1 1 0 -1 0 -1 1 0 -2 0 0 0] [ 1 2 0 -2 0 -1 1 -1 -1 -1 4 2 0 1 -2 -1 -1 0 -1 1 1 3] [ 2 2 1 -2 2 -1 3 -1 -1 1 2 6 0 0 -1 -3 -2 0 -1 2 1 3] [ 1 2 0 0 2 -3 0 -3 0 0 0 0 6 0 1 0 -2 -1 -1 1 1 0] [-1 0 -1 0 0 -1 -1 0 1 -1 1 0 0 4 0 2 0 1 -1 -3 0 0] [ 0 -1 -1 2 0 1 0 0 1 0 -2 -1 1 0 4 1 1 0 1 -1 -2 -3] [-2 -2 -1 2 0 0 -1 1 3 -1 -1 -3 0 2 1 6 2 0 1 -3 -1 -1] [-2 -1 0 1 -2 2 0 1 1 1 -1 -2 -2 0 1 2 4 0 0 -1 -1 -1] [-1 0 -1 -1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 4 0 -1 0 -1] [ 2 -1 -2 0 0 0 1 1 0 -2 -1 -1 -1 -1 1 1 0 0 6 0 -1 0] [ 2 2 1 -2 0 0 2 -1 -2 0 1 2 1 -3 -1 -3 -1 -1 0 6 2 2] [ 0 1 1 -2 0 -1 0 0 -1 0 1 1 1 0 -2 -1 -1 0 -1 2 4 1] [ 2 2 1 -2 1 -2 2 -1 -1 0 3 3 0 0 -3 -1 -1 -1 0 2 1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1101. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 -1 0 0 -1 -1 0 2 1 1 2 -2 0 -2 -1 1] [ 1 4 0 -2 2 0 2 -1 0 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 -1] [-1 0 4 -1 1 0 -1 2 0 1 -1 0 1 -2 -2 1 0 2 -1 2 2 0] [-1 -2 -1 4 -2 0 -1 -1 -1 -1 0 1 -1 1 0 1 -1 -1 1 -1 0 -1] [ 1 2 1 -2 4 1 0 1 1 0 0 0 1 0 0 0 -1 1 1 0 0 0] [ 2 0 0 0 1 4 1 1 -1 0 -1 1 -1 2 1 2 2 -1 1 -2 -1 0] [ 1 2 -1 -1 0 1 4 -1 -1 0 0 -1 0 1 2 0 0 0 1 -1 -2 0] [-1 -1 2 -1 1 1 -1 4 1 0 0 1 0 -2 -1 0 1 1 0 2 1 1] [ 0 0 0 -1 1 -1 -1 1 4 -1 0 0 1 -2 0 -1 -1 0 -1 2 0 1] [ 0 1 1 -1 0 0 0 0 -1 4 -2 1 1 0 -1 0 2 0 -1 0 1 -1] [-1 -1 -1 0 0 -1 0 0 0 -2 4 -1 0 -1 1 -1 -1 1 0 1 -1 1] [-1 -1 0 1 0 1 -1 1 0 1 -1 4 0 1 -1 0 0 0 0 -1 1 0] [ 0 1 1 -1 1 -1 0 0 1 1 0 0 4 -2 -1 0 0 1 -1 0 0 0] [ 2 1 -2 1 0 2 1 -2 -2 0 -1 1 -2 6 2 1 1 -2 2 -4 -1 -1] [ 1 1 -2 0 0 1 2 -1 0 -1 1 -1 -1 2 4 0 0 -1 1 -1 -2 0] [ 1 -1 1 1 0 2 0 0 -1 0 -1 0 0 1 0 4 2 -1 0 -1 0 0] [ 2 -1 0 -1 -1 2 0 1 -1 2 -1 0 0 1 0 2 6 -2 -1 -1 0 1] [-2 1 2 -1 1 -1 0 1 0 0 1 0 1 -2 -1 -1 -2 4 0 2 1 0] [ 0 1 -1 1 1 1 1 0 -1 -1 0 0 -1 2 1 0 -1 0 4 -2 -1 -1] [-2 -1 2 -1 0 -2 -1 2 2 0 1 -1 0 -4 -1 -1 -1 2 -2 6 2 1] [-1 -1 2 0 0 -1 -2 1 0 1 -1 1 0 -1 -2 0 0 1 -1 2 4 0] [ 1 -1 0 -1 0 0 0 1 1 -1 1 0 0 -1 0 0 1 0 -1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1102. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 2 -1 -2 2 -1 0 -1 0 1 -2 0 -1 2 -1 0 -2 0 1] [ 1 6 2 2 1 -3 -1 0 -2 -2 -1 1 1 0 -1 -1 0 -2 -2 0 1 2] [-2 2 6 0 -1 -1 0 -2 -1 0 -1 2 -2 1 0 -1 -1 1 0 1 0 -1] [ 1 2 0 4 0 -1 1 0 -1 0 0 0 -1 0 0 1 -1 0 -2 0 0 1] [ 2 1 -1 0 4 -2 -2 2 -1 0 -1 -1 2 -2 0 0 1 -1 1 -2 0 1] [-1 -3 -1 -1 -2 4 1 0 2 1 0 0 -1 1 1 0 0 1 1 1 -1 -2] [-2 -1 0 1 -2 1 4 -2 1 0 2 -1 -1 1 0 1 -2 1 -1 1 0 0] [ 2 0 -2 0 2 0 -2 4 -1 0 -1 0 1 -1 1 0 1 0 0 -1 -1 0] [-1 -2 -1 -1 -1 2 1 -1 4 1 1 0 0 1 -1 1 -1 -1 0 1 1 -1] [ 0 -2 0 0 0 1 0 0 1 4 0 1 0 -1 -1 0 1 0 0 -1 1 0] [-1 -1 -1 0 -1 0 2 -1 1 0 4 0 0 1 -1 2 -1 0 -1 1 1 0] [ 0 1 2 0 -1 0 -1 0 0 1 0 4 0 0 0 0 1 -1 -1 0 0 -1] [ 1 1 -2 -1 2 -1 -1 1 0 0 0 0 4 -1 -1 0 1 -2 0 -1 1 1] [-2 0 1 0 -2 1 1 -1 1 -1 1 0 -1 4 -1 1 -2 1 -1 2 0 -1] [ 0 -1 0 0 0 1 0 1 -1 -1 -1 0 -1 -1 4 0 0 1 1 0 -2 -1] [-1 -1 -1 1 0 0 1 0 1 0 2 0 0 1 0 4 -1 0 -1 1 0 0] [ 2 0 -1 -1 1 0 -2 1 -1 1 -1 1 1 -2 0 -1 4 -1 1 -2 0 1] [-1 -2 1 0 -1 1 1 0 -1 0 0 -1 -2 1 1 0 -1 4 1 1 -1 -1] [ 0 -2 0 -2 1 1 -1 0 0 0 -1 -1 0 -1 1 -1 1 1 4 -1 -1 -1] [-2 0 1 0 -2 1 1 -1 1 -1 1 0 -1 2 0 1 -2 1 -1 4 1 -1] [ 0 1 0 0 0 -1 0 -1 1 1 1 0 1 0 -2 0 0 -1 -1 1 4 1] [ 1 2 -1 1 1 -2 0 0 -1 0 0 -1 1 -1 -1 0 1 -1 -1 -1 1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1103. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 2 1 -1 0 1 1 -2 1 -1 1 -2 -2 1 -1 0 1 0 1] [ 1 4 0 -1 1 -1 -2 0 -1 -1 -1 2 1 -1 1 1 -1 1 1 -1 -1 -1] [-1 0 4 0 0 -2 -1 1 0 -2 0 1 0 -1 2 1 -2 1 1 -1 0 -1] [-2 -1 0 4 -2 1 2 0 0 -1 0 -1 1 1 2 2 -1 0 1 0 -1 1] [ 2 1 0 -2 4 1 -1 1 -1 1 -2 0 -1 1 -2 -1 0 -1 0 1 0 0] [ 1 -1 -2 1 1 6 3 -1 1 2 -1 -1 1 2 -3 1 1 0 -1 0 -1 2] [-1 -2 -1 2 -1 3 6 1 2 1 1 -2 2 1 0 2 2 0 -2 0 1 1] [ 0 0 1 0 1 -1 1 4 -1 -1 0 0 0 1 1 1 0 -1 -1 1 0 -1] [ 1 -1 0 0 -1 1 2 -1 4 1 0 0 0 0 0 -1 1 0 0 0 1 1] [ 1 -1 -2 -1 1 2 1 -1 1 4 0 -1 0 0 -2 -1 2 -1 -1 1 0 0] [-2 -1 0 0 -2 -1 1 0 0 0 4 0 1 -2 1 0 0 1 -1 -1 1 -1] [ 1 2 1 -1 0 -1 -2 0 0 -1 0 4 1 -1 1 1 -1 0 0 0 0 0] [-1 1 0 1 -1 1 2 0 0 0 1 1 4 -1 1 3 0 1 -1 -1 0 0] [ 1 -1 -1 1 1 2 1 1 0 0 -2 -1 -1 4 -1 0 0 -1 0 1 0 1] [-2 1 2 2 -2 -3 0 1 0 -2 1 1 1 -1 6 2 -2 0 1 -1 0 -1] [-2 1 1 2 -1 1 2 1 -1 -1 0 1 3 0 2 6 0 1 -1 -1 -1 0] [ 1 -1 -2 -1 0 1 2 0 1 2 0 -1 0 0 -2 0 4 -1 -2 1 1 1] [-1 1 1 0 -1 0 0 -1 0 -1 1 0 1 -1 0 1 -1 4 1 -2 0 -1] [ 0 1 1 1 0 -1 -2 -1 0 -1 -1 0 -1 0 1 -1 -2 1 4 -1 -1 0] [ 1 -1 -1 0 1 0 0 1 0 1 -1 0 -1 1 -1 -1 1 -2 -1 4 1 1] [ 0 -1 0 -1 0 -1 1 0 1 0 1 0 0 0 0 -1 1 0 -1 1 4 0] [ 1 -1 -1 1 0 2 1 -1 1 0 -1 0 0 1 -1 0 1 -1 0 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1104. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -2 -2 2 -1 2 -1 1 -1 0 1 2 -2 -1 1 1 1 1 -2] [ 1 4 -1 2 -1 1 0 -2 2 -2 2 1 -1 0 2 -2 -1 2 2 0 1 1] [ 2 -1 4 -1 -1 -1 1 1 1 1 -1 -2 0 1 1 -1 -1 -1 -1 1 0 -1] [ 1 2 -1 4 -2 -1 0 0 1 -1 2 2 1 0 0 0 0 2 1 0 0 1] [-2 -1 -1 -2 6 3 -1 -2 -2 -1 -2 0 -2 -1 1 -1 -1 -2 0 -1 -1 2] [-2 1 -1 -1 3 6 -2 0 -1 -2 0 0 -1 -2 1 -1 0 0 0 -2 -1 3] [ 2 0 1 0 -1 -2 4 -2 2 -1 0 -1 -1 2 2 -2 0 0 1 2 0 -3] [-1 -2 1 0 -2 0 -2 6 -2 2 0 0 3 -1 -2 2 1 0 -3 -1 -1 1] [ 2 2 1 1 -2 -1 2 -2 4 -1 1 0 -1 1 2 -2 0 1 2 1 1 -2] [-1 -2 1 -1 -1 -2 -1 2 -1 4 -1 0 1 0 -2 2 0 -1 -1 0 0 0] [ 1 2 -1 2 -2 0 0 0 1 -1 4 1 1 -1 0 -1 1 1 1 -1 1 0] [-1 1 -2 2 0 0 -1 0 0 0 1 4 1 0 -1 0 0 1 1 0 -1 2] [ 0 -1 0 1 -2 -1 -1 3 -1 1 1 1 4 -1 -2 1 1 1 -1 -1 -1 0] [ 1 0 1 0 -1 -2 2 -1 1 0 -1 0 -1 4 1 0 0 0 0 2 0 -1] [ 2 2 1 0 1 1 2 -2 2 -2 0 -1 -2 1 6 -3 -2 0 2 1 1 0] [-2 -2 -1 0 -1 -1 -2 2 -2 2 -1 0 1 0 -3 6 1 -1 -1 0 1 1] [-1 -1 -1 0 -1 0 0 1 0 0 1 0 1 0 -2 1 4 0 -1 -1 0 -1] [ 1 2 -1 2 -2 0 0 0 1 -1 1 1 1 0 0 -1 0 4 1 0 0 0] [ 1 2 -1 1 0 0 1 -3 2 -1 1 1 -1 0 2 -1 -1 1 4 0 1 0] [ 1 0 1 0 -1 -2 2 -1 1 0 -1 0 -1 2 1 0 -1 0 0 4 1 -1] [ 1 1 0 0 -1 -1 0 -1 1 0 1 -1 -1 0 1 1 0 0 1 1 4 -1] [-2 1 -1 1 2 3 -3 1 -2 0 0 2 0 -1 0 1 -1 0 0 -1 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1105. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 2 -2 0 -2 -1 -1 2 1 1 -2 -1 0 0 -2 1 -2 1 1] [-1 4 -2 -1 -1 1 0 -1 1 -1 1 1 0 1 2 0 0 0 -2 1 -2 0] [ 2 -2 4 2 1 -2 -1 -1 0 0 1 1 0 -1 -1 0 1 -2 2 -1 1 0] [ 1 -1 2 4 0 -2 1 1 0 -1 1 0 -1 0 -1 1 -1 -2 2 0 1 0] [ 2 -1 1 0 4 0 0 -1 -1 -1 1 0 0 -2 0 1 0 -2 0 -2 0 1] [-2 1 -2 -2 0 4 0 0 1 1 -2 0 -1 1 2 1 1 2 -1 1 -2 -1] [ 0 0 -1 1 0 0 4 2 1 -1 0 0 -1 0 0 1 0 -1 1 0 0 -1] [-2 -1 -1 1 -1 0 2 6 0 1 -1 -2 -2 1 -1 1 0 -1 1 1 1 -1] [-1 1 0 0 -1 1 1 0 4 -1 0 1 -1 1 1 0 2 -1 1 1 -1 -2] [-1 -1 0 -1 -1 1 -1 1 -1 4 -1 -1 0 0 -1 -1 0 2 0 0 1 -1] [ 2 1 1 1 1 -2 0 -1 0 -1 4 1 0 -1 -1 -1 -1 -2 0 -1 1 1] [ 1 1 1 0 0 0 0 -2 1 -1 1 4 1 1 1 -1 1 -1 0 1 -1 1] [ 1 0 0 -1 0 -1 -1 -2 -1 0 0 1 4 -1 0 -2 0 1 0 -1 0 1] [-2 1 -1 0 -2 1 0 1 1 0 -1 1 -1 4 0 0 0 1 -1 2 -1 0] [-1 2 -1 -1 0 2 0 -1 1 -1 -1 1 0 0 4 1 1 0 -1 1 -2 0] [ 0 0 0 1 1 1 1 1 0 -1 -1 -1 -2 0 1 4 1 -1 0 0 -1 0] [ 0 0 1 -1 0 1 0 0 2 0 -1 1 0 0 1 1 4 -1 1 0 -1 -1] [-2 0 -2 -2 -2 2 -1 -1 -1 2 -2 -1 1 1 0 -1 -1 6 -1 1 0 0] [ 1 -2 2 2 0 -1 1 1 1 0 0 0 0 -1 -1 0 1 -1 4 -1 1 -1] [-2 1 -1 0 -2 1 0 1 1 0 -1 1 -1 2 1 0 0 1 -1 4 0 0] [ 1 -2 1 1 0 -2 0 1 -1 1 1 -1 0 -1 -2 -1 -1 0 1 0 4 0] [ 1 0 0 0 1 -1 -1 -1 -2 -1 1 1 1 0 0 0 -1 0 -1 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1106. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 -1 0 0 -1 0 0 -2 1 -1 1 -1 0 2 1 -1 -1 -1 2] [ 1 4 0 0 -2 1 0 1 0 1 -2 1 -2 -1 0 -1 -1 0 0 0 0 1] [ 2 0 4 -2 0 -1 1 0 -1 0 -1 -1 0 0 -1 -1 1 1 -1 -1 -1 2] [-2 0 -2 4 0 1 1 1 1 1 0 -1 -1 0 1 -1 -2 -1 0 1 1 -1] [-1 -2 0 0 4 0 0 0 1 0 1 0 1 0 -1 0 1 0 -1 0 1 -1] [ 0 1 -1 1 0 4 1 -1 1 0 -1 1 -2 1 -1 -1 0 -1 -1 1 -1 -1] [ 0 0 1 1 0 1 4 -1 0 -1 -1 -2 0 1 1 0 0 1 -2 -1 0 0] [-1 1 0 1 0 -1 -1 4 -1 2 1 0 -1 -2 0 -2 -1 -1 0 1 0 0] [ 0 0 -1 1 1 1 0 -1 4 -1 -1 1 0 0 0 0 1 -1 0 1 0 0] [ 0 1 0 1 0 0 -1 2 -1 4 0 0 -1 -1 -1 -2 -1 -1 1 1 0 0] [-2 -2 -1 0 1 -1 -1 1 -1 0 4 0 1 -1 1 0 0 0 1 0 0 -1] [ 1 1 -1 -1 0 1 -2 0 1 0 0 4 -1 -1 -1 0 1 -1 0 1 0 0] [-1 -2 0 -1 1 -2 0 -1 0 -1 1 -1 4 0 1 2 0 1 1 -1 1 -1] [ 1 -1 0 0 0 1 1 -2 0 -1 -1 -1 0 4 0 1 1 0 -1 0 0 -1] [-1 0 -1 1 -1 -1 1 0 0 -1 1 -1 1 0 4 1 -1 0 0 -1 1 0] [ 0 -1 -1 -1 0 -1 0 -2 0 -2 0 0 2 1 1 4 1 1 0 -1 1 0] [ 2 -1 1 -2 1 0 0 -1 1 -1 0 1 0 1 -1 1 4 0 -1 0 -1 1] [ 1 0 1 -1 0 -1 1 -1 -1 -1 0 -1 1 0 0 1 0 4 0 -2 1 1] [-1 0 -1 0 -1 -1 -2 0 0 1 1 0 1 -1 0 0 -1 0 4 0 0 0] [-1 0 -1 1 0 1 -1 1 1 1 0 1 -1 0 -1 -1 0 -2 0 4 0 -1] [-1 0 -1 1 1 -1 0 0 0 0 0 0 1 0 1 1 -1 1 0 0 4 -1] [ 2 1 2 -1 -1 -1 0 0 0 0 -1 0 -1 -1 0 0 1 1 0 -1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1107. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 -1 -1 -1 1 1 2 1 0 1 -2 -1 -2 -1 -1 0 1 0] [ 1 4 -1 0 0 0 0 -2 0 0 -1 2 1 0 0 -1 0 0 -2 -1 0 -1] [-1 -1 4 -1 1 2 -1 0 1 1 1 0 -2 1 1 1 1 -1 0 -1 1 -1] [-1 0 -1 4 -2 1 0 1 -1 -1 -2 0 1 -1 -1 1 1 2 0 1 -2 -1] [ 1 0 1 -2 4 -1 1 -2 0 0 2 0 0 1 -1 0 -1 -2 -1 0 0 0] [-1 0 2 1 -1 4 -2 1 1 0 0 1 -1 0 1 0 2 0 -1 0 1 -1] [-1 0 -1 0 1 -2 4 0 -1 0 -1 -1 2 -1 0 1 -1 1 1 1 -1 0] [-1 -2 0 1 -2 1 0 4 1 0 0 -1 0 0 1 0 1 1 1 1 0 1] [ 1 0 1 -1 0 1 -1 1 4 0 1 0 -1 2 0 0 1 -1 -1 -1 2 -1] [ 1 0 1 -1 0 0 0 0 0 4 0 0 -1 1 0 0 -2 1 1 -1 2 0] [ 2 -1 1 -2 2 0 -1 0 1 0 6 -1 0 1 -1 -2 -1 -3 0 0 2 1] [ 1 2 0 0 0 1 -1 -1 0 0 -1 4 -1 -1 0 0 0 0 -2 -1 -1 -1] [ 0 1 -2 1 0 -1 2 0 -1 -1 0 -1 4 -1 0 -1 0 1 0 2 0 1] [ 1 0 1 -1 1 0 -1 0 2 1 1 -1 -1 4 -1 0 0 -1 -1 -1 2 0] [-2 0 1 -1 -1 1 0 1 0 0 -1 0 0 -1 4 -1 1 0 1 0 0 1] [-1 -1 1 1 0 0 1 0 0 0 -2 0 -1 0 -1 4 1 1 0 0 -1 -1] [-2 0 1 1 -1 2 -1 1 1 -2 -1 0 0 0 1 1 4 0 -1 0 0 0] [-1 0 -1 2 -2 0 1 1 -1 1 -3 0 1 -1 0 1 0 4 1 1 0 0] [-1 -2 0 0 -1 -1 1 1 -1 1 0 -2 0 -1 1 0 -1 1 4 0 0 1] [ 0 -1 -1 1 0 0 1 1 -1 -1 0 -1 2 -1 0 0 0 1 0 4 0 1] [ 1 0 1 -2 0 1 -1 0 2 2 2 -1 0 2 0 -1 0 0 0 0 6 0] [ 0 -1 -1 -1 0 -1 0 1 -1 0 1 -1 1 0 1 -1 0 0 1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1108. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 2 1 -1 0 -1 0 -2 0 -1 0 2 0 1 1 0 0 0 1] [-2 4 -2 -1 0 -1 1 1 -1 1 2 -1 1 1 0 -1 -2 -1 0 -1 1 0] [ 2 -2 4 0 1 1 -1 -1 0 0 -2 -1 -2 -1 0 1 0 1 -1 1 -1 1] [ 1 -1 0 4 1 1 1 -1 1 1 -1 1 -1 0 2 -1 1 2 1 0 -1 0] [ 2 0 1 1 6 2 0 2 0 1 -1 0 0 2 2 1 -2 0 2 0 1 2] [ 1 -1 1 1 2 4 1 1 1 -1 -1 -1 0 0 0 1 -1 0 2 -1 -1 2] [-1 1 -1 1 0 1 4 -1 1 1 1 -1 1 1 0 0 -1 1 2 -1 0 0] [ 0 1 -1 -1 2 1 -1 4 -1 -1 1 0 1 1 0 0 -1 -2 1 0 1 1] [-1 -1 0 1 0 1 1 -1 4 1 0 1 0 0 -1 1 0 1 1 1 -1 0] [ 0 1 0 1 1 -1 1 -1 1 4 0 1 0 0 1 -1 0 2 0 1 0 -1] [-2 2 -2 -1 -1 -1 1 1 0 0 4 -1 1 0 -1 0 -1 -1 0 -1 0 0] [ 0 -1 -1 1 0 -1 -1 0 1 1 -1 4 0 0 1 -1 2 1 0 2 1 -2] [-1 1 -2 -1 0 0 1 1 0 0 1 0 4 0 0 -1 -1 0 1 -1 1 -1] [ 0 1 -1 0 2 0 1 1 0 0 0 0 0 4 0 1 -1 -1 1 0 2 1] [ 2 0 0 2 2 0 0 0 -1 1 -1 1 0 0 4 -2 0 1 1 0 0 0] [ 0 -1 1 -1 1 1 0 0 1 -1 0 -1 -1 1 -2 4 0 -1 0 0 0 2] [ 1 -2 0 1 -2 -1 -1 -1 0 0 -1 2 -1 -1 0 0 4 1 -1 1 0 -1] [ 1 -1 1 2 0 0 1 -2 1 2 -1 1 0 -1 1 -1 1 4 0 1 0 -1] [ 0 0 -1 1 2 2 2 1 1 0 0 0 1 1 1 0 -1 0 4 -1 0 1] [ 0 -1 1 0 0 -1 -1 0 1 1 -1 2 -1 0 0 0 1 1 -1 4 1 -1] [ 0 1 -1 -1 1 -1 0 1 -1 0 0 1 1 2 0 0 0 0 0 1 4 -1] [ 1 0 1 0 2 2 0 1 0 -1 0 -2 -1 1 0 2 -1 -1 1 -1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1109. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 -1 0 1 0 -1 0 1 0 1 2 1 -2 1 0 -2 0 -1 2] [ 2 4 1 -1 0 -1 1 1 0 -1 -1 1 1 2 0 -1 1 0 -2 0 -1 2] [ 0 1 4 -2 0 0 0 -1 -1 0 -1 -1 1 1 -1 0 2 1 0 1 0 2] [ 0 -1 -2 4 1 1 1 0 0 1 2 0 0 -2 1 -1 -2 1 -1 1 -1 -2] [-1 0 0 1 4 1 -1 0 1 0 -1 1 1 0 1 0 0 0 0 1 -1 -2] [ 0 -1 0 1 1 4 1 -2 1 -1 -1 0 -1 1 0 0 -1 -1 0 2 0 0] [ 1 1 0 1 -1 1 4 0 -1 0 1 1 0 1 0 -1 -1 0 -1 1 0 2] [ 0 1 -1 0 0 -2 0 4 1 0 1 0 1 -1 1 1 -1 -1 0 0 0 -1] [-1 0 -1 0 1 1 -1 1 4 -2 -2 0 0 -1 1 2 -1 -1 1 0 1 -2] [ 0 -1 0 1 0 -1 0 0 -2 4 3 -1 1 0 1 -1 1 1 0 0 -1 0] [ 1 -1 -1 2 -1 -1 1 1 -2 3 6 -2 1 0 2 -1 0 1 0 0 0 -1] [ 0 1 -1 0 1 0 1 0 0 -1 -2 4 0 0 -1 0 -1 -1 -1 0 0 0] [ 1 1 1 0 1 -1 0 1 0 1 1 0 4 0 1 0 1 0 -1 0 0 0] [ 2 2 1 -2 0 1 1 -1 -1 0 0 0 0 6 0 -1 2 -1 -1 0 0 3] [ 1 0 -1 1 1 0 0 1 1 1 2 -1 1 0 4 -1 0 0 1 0 -1 -1] [-2 -1 0 -1 0 0 -1 1 2 -1 -1 0 0 -1 -1 4 0 -1 1 0 2 -1] [ 1 1 2 -2 0 -1 -1 -1 -1 1 0 -1 1 2 0 0 4 1 0 -1 0 2] [ 0 0 1 1 0 -1 0 -1 -1 1 1 -1 0 -1 0 -1 1 4 0 0 0 0] [-2 -2 0 -1 0 0 -1 0 1 0 0 -1 -1 -1 1 1 0 0 4 -1 1 -1] [ 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 -1 0 -1 4 0 0] [-1 -1 0 -1 -1 0 0 0 1 -1 0 0 0 0 -1 2 0 0 1 0 4 -1] [ 2 2 2 -2 -2 0 2 -1 -2 0 -1 0 0 3 -1 -1 2 0 -1 0 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1110. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 0 0 -1 -1 -1 1 1 0 -2 2 1 1 -1 2 1 -2 1 -1] [-1 4 1 -1 0 0 1 -1 -1 -2 -1 -1 0 -1 1 -1 2 0 -2 -1 0 1] [ 0 1 4 1 0 1 -1 -1 1 0 -1 0 -1 0 2 -2 2 0 0 -1 1 -1] [ 2 -1 1 4 0 1 0 -1 -1 2 1 0 -2 0 0 1 -1 1 2 -2 0 -1] [ 0 0 0 0 4 2 -1 1 0 -2 1 -2 0 2 1 2 -1 2 -1 -2 -1 1] [ 0 0 1 1 2 4 -1 0 0 -1 0 -1 -1 2 1 2 -1 2 0 -2 0 -1] [-1 1 -1 0 -1 -1 4 1 -2 1 0 0 1 -1 -1 1 0 -1 0 1 -1 1] [-1 -1 -1 -1 1 0 1 4 1 1 1 -1 1 0 0 2 -1 0 0 0 -1 0] [-1 -1 1 -1 0 0 -2 1 4 0 -1 0 1 0 1 -1 1 -1 0 1 0 -1] [ 1 -2 0 2 -2 -1 1 1 0 6 2 0 0 0 -1 0 -1 -1 1 0 0 -1] [ 1 -1 -1 1 1 0 0 1 -1 2 4 -1 0 1 0 1 -1 1 0 -1 -1 1] [ 0 -1 0 0 -2 -1 0 -1 0 0 -1 4 -1 -2 -1 -1 0 -1 1 1 0 -1] [-2 0 -1 -2 0 -1 1 1 1 0 0 -1 4 0 0 -1 1 -1 -1 3 0 2] [ 2 -1 0 0 2 2 -1 0 0 0 1 -2 0 6 1 2 -1 2 -1 -1 1 0] [ 1 1 2 0 1 1 -1 0 1 -1 0 -1 0 1 4 -1 1 1 0 -1 0 0] [ 1 -1 -2 1 2 2 1 2 -1 0 1 -1 -1 2 -1 6 -2 2 0 -2 -1 0] [-1 2 2 -1 -1 -1 0 -1 1 -1 -1 0 1 -1 1 -2 4 -1 -1 1 1 1] [ 2 0 0 1 2 2 -1 0 -1 -1 1 -1 -1 2 1 2 -1 4 0 -2 1 0] [ 1 -2 0 2 -1 0 0 0 0 1 0 1 -1 -1 0 0 -1 0 4 0 0 -1] [-2 -1 -1 -2 -2 -2 1 0 1 0 -1 1 3 -1 -1 -2 1 -2 0 6 1 1] [ 1 0 1 0 -1 0 -1 -1 0 0 -1 0 0 1 0 -1 1 1 0 1 4 -1] [-1 1 -1 -1 1 -1 1 0 -1 -1 1 -1 2 0 0 0 1 0 -1 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1111. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 1 -1 0 1 1 0 -1 -1 1 0 2 -1 -2 -1 0 0] [-2 4 -2 2 1 -1 -1 0 0 0 0 -1 0 1 0 0 -1 2 0 2 1 1] [ 2 -2 4 -2 -1 0 0 -1 -1 1 0 -1 1 -1 -1 1 1 -2 -2 0 -1 1] [-2 2 -2 4 1 0 -1 0 1 0 -1 0 1 1 1 1 -2 1 1 1 0 0] [ 0 1 -1 1 4 -1 1 1 -1 0 -1 1 -1 2 1 0 0 1 -1 0 0 1] [ 1 -1 0 0 -1 4 0 1 2 0 -1 0 -1 0 1 0 -1 0 -1 -1 1 -1] [ 1 -1 0 -1 1 0 4 -1 0 0 0 1 0 1 0 1 2 1 1 -2 -1 0] [-1 0 -1 0 1 1 -1 4 0 0 -1 1 -1 1 0 -2 -2 0 0 0 1 -1] [ 0 0 -1 1 -1 2 0 0 4 -1 -1 0 0 0 0 0 -1 0 0 0 1 0] [ 1 0 1 0 0 0 0 0 -1 4 0 1 0 1 0 1 0 -1 -1 1 -1 -1] [ 1 0 0 -1 -1 -1 0 -1 -1 0 4 0 0 -2 1 -1 2 0 1 0 1 0] [ 0 -1 -1 0 1 0 1 1 0 1 0 4 -1 1 0 0 0 -1 0 -1 0 -1] [-1 0 1 1 -1 -1 0 -1 0 0 0 -1 4 -1 0 1 0 -1 2 1 -1 1] [-1 1 -1 1 2 0 1 1 0 1 -2 1 -1 4 -1 1 -1 1 -1 0 0 0] [ 1 0 -1 1 1 1 0 0 0 0 1 0 0 -1 4 -1 0 0 1 0 0 0] [ 0 0 1 1 0 0 1 -2 0 1 -1 0 1 1 -1 4 1 0 -1 0 -1 1] [ 2 -1 1 -2 0 -1 2 -2 -1 0 2 0 0 -1 0 1 4 0 0 -1 0 1] [-1 2 -2 1 1 0 1 0 0 -1 0 -1 -1 1 0 0 0 4 1 0 1 0] [-2 0 -2 1 -1 -1 1 0 0 -1 1 0 2 -1 1 -1 0 1 6 -1 -1 -1] [-1 2 0 1 0 -1 -2 0 0 1 0 -1 1 0 0 0 -1 0 -1 4 1 1] [ 0 1 -1 0 0 1 -1 1 1 -1 1 0 -1 0 0 -1 0 1 -1 1 4 0] [ 0 1 1 0 1 -1 0 -1 0 -1 0 -1 1 0 0 1 1 0 -1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1112. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 1 0 -2 -1 0 -2 0 2 -2 0 -1 2 -2 -2 1 0 -1 0] [-2 6 2 -1 -3 1 1 -2 1 0 -1 -1 -1 -2 -1 0 -1 3 -1 0 1 -2] [ 0 2 4 0 -1 -1 0 0 2 0 -1 0 0 -2 -2 1 -2 2 -1 1 0 -2] [-1 -1 0 4 2 -1 1 1 -1 1 0 -1 2 1 1 -1 0 0 -1 -1 0 0] [ 1 -3 -1 2 6 -2 1 1 -2 0 -1 -1 -1 1 2 0 -1 0 -1 0 -2 1] [ 0 1 -1 -1 -2 4 -1 -1 -1 0 0 1 -1 0 -1 1 0 -1 0 -1 0 0] [-2 1 0 1 1 -1 4 1 -1 2 -1 -2 1 1 1 -1 0 2 -2 1 0 0] [-1 -2 0 1 1 -1 1 4 -1 2 1 -1 2 1 1 0 2 1 0 1 0 0] [ 0 1 2 -1 -2 -1 -1 -1 4 -1 0 1 1 -1 -2 0 0 0 0 1 0 0] [-2 0 0 1 0 0 2 2 -1 4 1 -2 2 0 1 -1 2 2 0 1 1 -1] [ 0 -1 -1 0 -1 0 -1 1 0 1 4 1 2 1 1 -1 3 -1 2 -1 0 0] [ 2 -1 0 -1 -1 1 -2 -1 1 -2 1 4 -1 0 -2 1 -1 -3 1 -1 -1 1] [-2 -1 0 2 -1 -1 1 2 1 2 2 -1 6 2 1 -1 3 1 0 0 1 0] [ 0 -2 -2 1 1 0 1 1 -1 0 1 0 2 4 1 -1 1 -1 0 -1 -1 1] [-1 -1 -2 1 2 -1 1 1 -2 1 1 -2 1 1 4 -1 2 1 0 0 0 1] [ 2 0 1 -1 0 1 -1 0 0 -1 -1 1 -1 -1 -1 4 -2 0 0 1 0 0] [-2 -1 -2 0 -1 0 0 2 0 2 3 -1 3 1 2 -2 6 0 1 0 1 1] [-2 3 2 0 0 -1 2 1 0 2 -1 -3 1 -1 1 0 0 6 -1 2 1 -2] [ 1 -1 -1 -1 -1 0 -2 0 0 0 2 1 0 0 0 0 1 -1 4 -1 1 0] [ 0 0 1 -1 0 -1 1 1 1 1 -1 -1 0 -1 0 1 0 2 -1 4 1 0] [-1 1 0 0 -2 0 0 0 0 1 0 -1 1 -1 0 0 1 1 1 1 4 -1] [ 0 -2 -2 0 1 0 0 0 0 -1 0 1 0 1 1 0 1 -2 0 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1113. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 1 2 -2 1 1 1 -1 1 -1 1 -2 -1 -1 -1 -1 2 1 -1 1] [ 0 4 -1 -1 -1 1 1 0 0 0 0 -1 -1 0 1 0 1 1 -1 -1 -1 1] [ 0 -1 4 2 -1 1 0 -1 0 1 1 0 -1 0 1 1 1 0 0 0 1 1] [ 1 -1 2 4 0 0 0 -1 -1 0 1 -1 -1 0 -1 0 0 0 0 0 0 0] [ 2 -1 -1 0 4 -2 0 1 0 -1 -1 0 2 -1 -1 0 -1 -2 1 2 -1 0] [-2 1 1 0 -2 4 -1 0 -1 0 1 -1 -1 2 0 0 1 0 -1 0 1 1] [ 1 1 0 0 0 -1 4 0 2 0 1 -1 -1 -2 2 1 -1 1 0 -1 -2 1] [ 1 0 -1 -1 1 0 0 4 1 -2 0 1 1 -1 -2 -2 -2 0 2 0 -1 0] [ 1 0 0 -1 0 -1 2 1 4 -1 1 0 -1 -1 0 -1 -2 0 0 0 -1 1] [-1 0 1 0 -1 0 0 -2 -1 4 -1 1 -1 1 3 2 1 0 0 0 1 0] [ 1 0 1 1 -1 1 1 0 1 -1 4 -2 0 -1 0 0 0 0 0 0 -1 2] [-1 -1 0 -1 0 -1 -1 1 0 1 -2 4 0 0 0 0 0 0 1 0 1 -1] [ 1 -1 -1 -1 2 -1 -1 1 -1 -1 0 0 4 -1 -1 0 0 -1 1 1 0 0] [-2 0 0 0 -1 2 -2 -1 -1 1 -1 0 -1 4 0 0 0 0 -1 0 2 -1] [-1 1 1 -1 -1 0 2 -2 0 3 0 0 -1 0 6 3 1 0 -1 -1 0 1] [-1 0 1 0 0 0 1 -2 -1 2 0 0 0 0 3 4 2 0 -1 0 0 1] [-1 1 1 0 -1 1 -1 -2 -2 1 0 0 0 0 1 2 4 0 -1 0 1 1] [-1 1 0 0 -2 0 1 0 0 0 0 0 -1 0 0 0 0 4 0 -2 0 -1] [ 2 -1 0 0 1 -1 0 2 0 0 0 1 1 -1 -1 -1 -1 0 4 0 0 0] [ 1 -1 0 0 2 0 -1 0 0 0 0 0 1 0 -1 0 0 -2 0 4 1 1] [-1 -1 1 0 -1 1 -2 -1 -1 1 -1 1 0 2 0 0 1 0 0 1 4 -1] [ 1 1 1 0 0 1 1 0 1 0 2 -1 0 -1 1 1 1 -1 0 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1114. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 2 -2 0 1 1 0 1 1 2 -2 -1 0 -1 0 0 0 -1 0] [-1 4 -1 0 0 2 -1 1 1 1 -1 -1 -2 -1 -1 -1 -1 -1 -1 1 1 1] [ 0 -1 4 -1 0 -1 2 1 -1 -2 1 1 -1 0 1 2 -1 2 -1 -2 -1 0] [-1 0 -1 4 -1 1 0 -2 -1 0 0 0 0 -1 1 0 2 0 0 0 0 -1] [ 2 0 0 -1 4 -2 -1 0 0 0 1 0 2 -2 -1 -1 -2 0 1 0 1 0] [-2 2 -1 1 -2 4 -1 0 0 0 -1 -1 -2 0 1 -1 0 -1 0 1 0 0] [ 0 -1 2 0 -1 -1 4 0 0 -1 1 0 -1 0 1 1 1 2 -1 -2 -1 -1] [ 1 1 1 -2 0 0 0 4 0 0 -1 0 -1 -1 -1 0 -1 -1 -1 1 -1 2] [ 1 1 -1 -1 0 0 0 0 4 0 -1 -1 1 1 -1 0 0 0 0 0 1 -1] [ 0 1 -2 0 0 0 -1 0 0 4 -1 -1 1 -1 0 0 0 -2 -1 2 1 0] [ 1 -1 1 0 1 -1 1 -1 -1 -1 4 2 -1 -1 0 0 0 1 0 -1 -1 0] [ 1 -1 1 0 0 -1 0 0 -1 -1 2 4 -1 0 -1 1 0 0 -1 -1 -1 1] [ 2 -2 -1 0 2 -2 -1 -1 1 1 -1 -1 6 -1 1 0 0 -1 2 1 1 -1] [-2 -1 0 -1 -2 0 0 -1 1 -1 -1 0 -1 6 -1 1 1 1 0 -1 1 0] [-1 -1 1 1 -1 1 1 -1 -1 0 0 -1 1 -1 4 0 0 0 1 0 -1 -1] [ 0 -1 2 0 -1 -1 1 0 0 0 0 1 0 1 0 4 1 1 -2 -1 0 0] [-1 -1 -1 2 -2 0 1 -1 0 0 0 0 0 1 0 1 4 0 0 0 0 0] [ 0 -1 2 0 0 -1 2 -1 0 -2 1 0 -1 1 0 1 0 4 0 -2 0 -1] [ 0 -1 -1 0 1 0 -1 -1 0 -1 0 -1 2 0 1 -2 0 0 4 0 0 0] [ 0 1 -2 0 0 1 -2 1 0 2 -1 -1 1 -1 0 -1 0 -2 0 4 1 1] [-1 1 -1 0 1 0 -1 -1 1 1 -1 -1 1 1 -1 0 0 0 0 1 4 -1] [ 0 1 0 -1 0 0 -1 2 -1 0 0 1 -1 0 -1 0 0 -1 0 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1115. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -2 1 -2 0 -1 -1 -1 1 1 -1 2 -2 1 -2 -2 2] [-2 4 -2 2 1 0 1 -1 0 0 1 2 0 -1 -2 0 -1 0 -1 2 2 0] [ 2 -2 4 -2 -1 -1 -1 0 0 1 -1 -2 0 1 2 0 1 -1 0 -1 -2 2] [-2 2 -2 4 1 1 2 -1 0 -1 1 1 0 -1 -1 1 -2 2 -1 0 1 0] [ 0 1 -1 1 4 2 0 -1 0 -1 -1 2 -2 1 -1 1 0 0 -1 0 0 -1] [ 1 0 -1 1 2 4 -1 1 -2 -1 -1 1 -1 1 -1 0 1 1 1 -2 -1 -1] [-2 1 -1 2 0 -1 4 -2 1 -1 0 0 1 0 -1 1 -1 2 -2 0 2 -1] [ 1 -1 0 -1 -1 1 -2 4 -2 0 1 0 1 0 0 0 0 0 1 -1 0 1] [-2 0 0 0 0 -2 1 -2 6 -1 0 0 1 1 2 2 -2 -1 -1 3 -1 -2] [ 0 0 1 -1 -1 -1 -1 0 -1 4 0 -1 0 0 0 -1 1 -1 0 1 1 0] [-1 1 -1 1 -1 -1 0 1 0 0 4 0 1 -2 0 1 -2 1 0 0 0 1] [-1 2 -2 1 2 1 0 0 0 -1 0 4 -1 0 -2 0 0 -1 0 2 1 -1] [-1 0 0 0 -2 -1 1 1 1 0 1 -1 4 0 0 1 -1 0 -1 0 1 0] [ 1 -1 1 -1 1 1 0 0 1 0 -2 0 0 4 0 1 1 -1 -1 0 0 -1] [ 1 -2 2 -1 -1 -1 -1 0 2 0 0 -2 0 0 4 0 -1 -1 1 0 -3 1] [-1 0 0 1 1 0 1 0 2 -1 1 0 1 1 0 4 -1 1 -2 0 0 0] [ 2 -1 1 -2 0 1 -1 0 -2 1 -2 0 -1 1 -1 -1 4 -1 1 -1 0 0] [-2 0 -1 2 0 1 2 0 -1 -1 1 -1 0 -1 -1 1 -1 6 0 -2 1 -1] [ 1 -1 0 -1 -1 1 -2 1 -1 0 0 0 -1 -1 1 -2 1 0 4 -1 -2 0] [-2 2 -1 0 0 -2 0 -1 3 1 0 2 0 0 0 0 -1 -2 -1 6 2 -1] [-2 2 -2 1 0 -1 2 0 -1 1 0 1 1 0 -3 0 0 1 -2 2 6 -1] [ 2 0 2 0 -1 -1 -1 1 -2 0 1 -1 0 -1 1 0 0 -1 0 -1 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1116. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 -1 -1 -1 1 1 1 2 -1 0 -1 1 0 1 2 -1 1 1 -1 0] [ 1 4 1 -2 0 -1 1 0 0 -1 0 1 -1 1 1 2 0 -2 0 2 0 1] [ 1 1 6 2 -2 2 3 2 0 3 -1 2 2 2 0 2 2 1 -1 0 0 2] [-1 -2 2 6 -2 1 2 2 -1 2 -1 1 0 -1 0 -1 1 1 1 -1 1 -1] [-1 0 -2 -2 4 1 -2 -2 0 -1 2 -1 1 0 1 0 -1 0 -1 0 -1 1] [-1 -1 2 1 1 4 0 0 -1 1 0 0 3 1 1 0 0 1 -2 0 0 2] [ 1 1 3 2 -2 0 4 1 0 2 -1 2 -1 0 0 1 2 0 1 0 0 0] [ 1 0 2 2 -2 0 1 4 -1 1 0 0 -1 1 -1 1 1 0 0 0 1 0] [ 1 0 0 -1 0 -1 0 -1 4 2 0 -1 0 -1 -1 0 1 0 1 0 -2 0] [ 2 -1 3 2 -1 1 2 1 2 6 -1 1 0 1 -1 0 3 0 1 0 -2 0] [-1 0 -1 -1 2 0 -1 0 0 -1 4 0 1 -1 -1 1 -1 0 0 0 0 1] [ 0 1 2 1 -1 0 2 0 -1 1 0 4 0 1 0 0 0 0 1 0 0 0] [-1 -1 2 0 1 3 -1 -1 0 0 1 0 6 1 1 1 -1 2 -2 -1 0 2] [ 1 1 2 -1 0 1 0 1 -1 1 -1 1 1 4 1 1 0 0 -1 0 0 1] [ 0 1 0 0 1 1 0 -1 -1 -1 -1 0 1 1 4 1 -1 -1 0 1 1 1] [ 1 2 2 -1 0 0 1 1 0 0 1 0 1 1 1 4 0 -1 0 1 1 2] [ 2 0 2 1 -1 0 2 1 1 3 -1 0 -1 0 -1 0 4 0 0 0 -1 0] [-1 -2 1 1 0 1 0 0 0 0 0 0 2 0 -1 -1 0 4 -1 -2 0 0] [ 1 0 -1 1 -1 -2 1 0 1 1 0 1 -2 -1 0 0 0 -1 4 0 0 -1] [ 1 2 0 -1 0 0 0 0 0 0 0 0 -1 0 1 1 0 -2 0 4 1 1] [-1 0 0 1 -1 0 0 1 -2 -2 0 0 0 0 1 1 -1 0 0 1 4 0] [ 0 1 2 -1 1 2 0 0 0 0 1 0 2 1 1 2 0 0 -1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1117. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 -1 0 2 2 0 -1 -1 1 1 0 1 1 2 0 2 -1 1] [-1 6 -3 1 -1 -2 1 -1 2 -1 1 -2 -1 -1 2 2 1 -2 1 1 2 1] [ 2 -3 6 -2 2 1 -2 2 -1 2 -2 1 2 -1 -1 -1 -2 1 1 1 -1 1] [ 0 1 -2 4 -2 0 2 1 2 -1 1 0 -1 1 0 0 1 0 -1 0 0 0] [ 0 -1 2 -2 4 1 0 -1 0 0 0 0 1 -1 -1 -1 -2 0 1 0 1 1] [-1 -2 1 0 1 4 1 0 0 0 -1 2 -1 1 -2 -2 -1 0 1 -1 0 0] [ 0 1 -2 2 0 1 4 0 3 -1 0 0 -2 1 0 -1 0 0 0 0 0 1] [ 2 -1 2 1 -1 0 0 4 0 1 -1 1 0 0 -1 0 1 1 0 1 -1 1] [ 2 2 -1 2 0 0 3 0 6 -1 0 -1 -1 1 0 1 0 0 0 2 1 2] [ 0 -1 2 -1 0 0 -1 1 -1 4 0 1 1 0 0 -1 -1 -1 0 1 0 -1] [-1 1 -2 1 0 -1 0 -1 0 0 4 -1 1 0 0 0 1 0 0 -1 1 -1] [-1 -2 1 0 0 2 0 1 -1 1 -1 4 -1 0 -2 -1 -1 -1 -1 -1 0 0] [ 1 -1 2 -1 1 -1 -2 0 -1 1 1 -1 4 -1 1 0 0 0 1 1 0 0] [ 1 -1 -1 1 -1 1 1 0 1 0 0 0 -1 4 -1 0 1 1 -1 0 0 -1] [ 0 2 -1 0 -1 -2 0 -1 0 0 0 -2 1 -1 4 0 0 -1 1 1 -1 0] [ 1 2 -1 0 -1 -2 -1 0 1 -1 0 -1 0 0 0 4 2 0 -1 1 1 1] [ 1 1 -2 1 -2 -1 0 1 0 -1 1 -1 0 1 0 2 4 1 0 0 0 0] [ 2 -2 1 0 0 0 0 1 0 -1 0 -1 0 1 -1 0 1 4 0 0 -1 0] [ 0 1 1 -1 1 1 0 0 0 0 0 -1 1 -1 1 -1 0 0 4 0 0 1] [ 2 1 1 0 0 -1 0 1 2 1 -1 -1 1 0 1 1 0 0 0 4 1 1] [-1 2 -1 0 1 0 0 -1 1 0 1 0 0 0 -1 1 0 -1 0 1 4 0] [ 1 1 1 0 1 0 1 1 2 -1 -1 0 0 -1 0 1 0 0 1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1118. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 0 -1 -1 -1 0 2 0 -2 2 0 1 -1 -1 -2 0 -1 -2 -1 -2] [-1 4 1 -1 1 2 2 1 0 1 1 1 -1 0 -1 1 -1 1 1 1 2 1] [ 0 1 4 -2 -1 1 0 0 1 2 1 0 1 -1 0 1 -1 2 0 1 1 0] [ 0 -1 -2 4 0 -1 1 0 -1 -2 0 0 0 1 1 -2 0 0 0 0 0 1] [-1 1 -1 0 4 1 0 0 -1 -1 0 1 0 1 0 -1 2 1 -1 -1 -1 1] [-1 2 1 -1 1 4 2 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1] [-1 2 0 1 0 2 6 0 0 1 1 1 1 0 0 0 1 0 -1 0 3 1] [ 0 1 0 0 0 1 0 4 0 0 -1 0 0 -1 1 1 -2 0 0 2 -1 1] [ 2 0 1 -1 -1 0 0 0 4 0 -1 1 -1 -1 0 1 0 -1 -1 -2 1 -2] [ 0 1 2 -2 -1 1 1 0 0 4 0 0 1 0 0 1 -1 1 0 0 1 0] [-2 1 1 0 0 0 1 -1 -1 0 4 0 -1 -1 0 1 0 1 0 1 1 0] [ 2 1 0 0 1 1 1 0 1 0 0 4 0 1 -1 -1 -1 1 -1 -2 0 -1] [ 0 -1 1 0 0 1 1 0 -1 1 -1 0 4 1 1 -1 1 1 -1 1 -1 1] [ 1 0 -1 1 1 1 0 -1 -1 0 -1 1 1 4 0 -2 0 1 0 -1 -1 0] [-1 -1 0 1 0 1 0 1 0 0 0 -1 1 0 4 0 1 0 -1 1 -1 1] [-1 1 1 -2 -1 0 0 1 1 1 1 -1 -1 -2 0 4 0 -1 0 1 1 0] [-2 -1 -1 0 2 1 1 -2 0 -1 0 -1 1 0 1 0 6 -1 -1 -1 0 1] [ 0 1 2 0 1 1 0 0 -1 1 1 1 1 1 0 -1 -1 4 0 1 0 1] [-1 1 0 0 -1 0 -1 0 -1 0 0 -1 -1 0 -1 0 -1 0 4 1 1 1] [-2 1 1 0 -1 1 0 2 -2 0 1 -2 1 -1 1 1 -1 1 1 6 0 2] [-1 2 1 0 -1 0 3 -1 1 1 1 0 -1 -1 -1 1 0 0 1 0 6 0] [-2 1 0 1 1 1 1 1 -2 0 0 -1 1 0 1 0 1 1 1 2 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1119. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 -1 -2 2 2 0 1 -1 1 0 1 -1 2 1 1 -2 1 0] [-2 4 -2 1 -1 1 2 0 -2 0 0 1 -1 0 -1 0 -1 -1 -1 2 0 1] [ 2 -2 4 -1 0 -1 -2 1 2 -1 -1 0 2 0 1 0 1 1 0 -1 -1 0] [ 0 1 -1 4 1 2 1 1 1 0 0 1 0 0 -1 1 0 1 0 0 -1 2] [ 1 -1 0 1 4 1 -1 1 2 -1 1 0 1 0 1 0 2 2 -1 -2 -1 1] [-1 1 -1 2 1 4 1 -1 -1 0 -1 2 1 0 -1 2 -1 1 0 -1 0 2] [-2 2 -2 1 -1 1 4 -1 -2 1 -1 0 -1 1 -2 1 -2 -1 0 1 -1 1] [ 2 0 1 1 1 -1 -1 4 1 -1 1 -1 1 -1 1 -1 2 1 -1 -1 0 1] [ 2 -2 2 1 2 -1 -2 1 6 -2 1 -1 0 1 0 0 2 2 0 -2 -1 0] [ 0 0 -1 0 -1 0 1 -1 -2 4 -1 -1 0 -1 -1 1 -2 0 2 0 1 0] [ 1 0 -1 0 1 -1 -1 1 1 -1 4 -1 -1 1 1 -2 2 0 -1 -1 0 -1] [-1 1 0 1 0 2 0 -1 -1 -1 -1 4 1 0 0 0 0 0 -1 2 -1 0] [ 1 -1 2 0 1 1 -1 1 0 0 -1 1 4 -1 0 0 0 1 -1 -1 -1 1] [ 0 0 0 0 0 0 1 -1 1 -1 1 0 -1 4 -1 0 0 -1 0 0 -2 0] [ 1 -1 1 -1 1 -1 -2 1 0 -1 1 0 0 -1 4 -1 2 0 0 0 1 -1] [-1 0 0 1 0 2 1 -1 0 1 -2 0 0 0 -1 4 -1 1 1 -1 0 2] [ 2 -1 1 0 2 -1 -2 2 2 -2 2 0 0 0 2 -1 4 1 -1 -1 0 0] [ 1 -1 1 1 2 1 -1 1 2 0 0 0 1 -1 0 1 1 4 0 -2 0 1] [ 1 -1 0 0 -1 0 0 -1 0 2 -1 -1 -1 0 0 1 -1 0 4 -1 2 0] [-2 2 -1 0 -2 -1 1 -1 -2 0 -1 2 -1 0 0 -1 -1 -2 -1 6 0 -1] [ 1 0 -1 -1 -1 0 -1 0 -1 1 0 -1 -1 -2 1 0 0 0 2 0 6 -1] [ 0 1 0 2 1 2 1 1 0 0 -1 0 1 0 -1 2 0 1 0 -1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1120. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 1 1 -1 1 0 1 0 0 1 -1 2 -1 -1 2 1 -1 1 -1 1] [ 1 4 1 2 -1 1 2 1 1 -1 1 0 -2 0 -1 -1 0 0 1 2 0 2] [-2 1 4 1 -2 2 -1 1 -1 0 0 0 0 -2 0 0 -2 0 2 0 0 0] [ 1 2 1 4 0 0 1 0 -1 0 1 0 -1 0 -2 -2 0 1 1 2 -1 1] [ 1 -1 -2 0 4 -2 1 -1 0 -1 -1 0 0 1 0 1 1 1 -1 0 -1 0] [-1 1 2 0 -2 4 -1 0 1 0 0 0 1 -1 1 0 -2 -1 1 0 1 1] [ 1 2 -1 1 1 -1 4 1 1 -1 0 -1 -2 1 0 -1 1 0 -1 2 0 2] [ 0 1 1 0 -1 0 1 4 1 0 -1 0 -1 1 0 0 1 1 0 0 -1 1] [ 1 1 -1 -1 0 1 1 1 4 0 0 0 0 2 0 0 0 0 -1 0 0 1] [ 0 -1 0 0 -1 0 -1 0 0 4 0 -1 1 0 -1 -1 1 1 1 0 -1 0] [ 0 1 0 1 -1 0 0 -1 0 0 4 -1 0 0 -1 0 0 0 1 0 0 0] [ 1 0 0 0 0 0 -1 0 0 -1 -1 4 0 0 -1 -1 0 1 -1 -1 0 0] [-1 -2 0 -1 0 1 -2 -1 0 1 0 0 4 -1 1 0 0 -1 1 -1 1 -1] [ 2 0 -2 0 1 -1 1 1 2 0 0 0 -1 4 -1 0 1 1 -2 0 -1 1] [-1 -1 0 -2 0 1 0 0 0 -1 -1 -1 1 -1 4 2 -1 -2 0 0 2 -1] [-1 -1 0 -2 1 0 -1 0 0 -1 0 -1 0 0 2 4 -1 0 0 -1 0 -1] [ 2 0 -2 0 1 -2 1 1 0 1 0 0 0 1 -1 -1 4 1 0 0 -1 1] [ 1 0 0 1 1 -1 0 1 0 1 0 1 -1 1 -2 0 1 4 0 0 -2 1] [-1 1 2 1 -1 1 -1 0 -1 1 1 -1 1 -2 0 0 0 0 4 0 0 0] [ 1 2 0 2 0 0 2 0 0 0 0 -1 -1 0 0 -1 0 0 0 4 1 1] [-1 0 0 -1 -1 1 0 -1 0 -1 0 0 1 -1 2 0 -1 -2 0 1 4 -1] [ 1 2 0 1 0 1 2 1 1 0 0 0 -1 1 -1 -1 1 1 0 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1121. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -1 1 -1 1 1 2 1 1 0 -1 0 1 -2 0 1 1 -1 0 1] [-1 4 1 0 0 0 -2 1 -1 0 0 1 0 0 -1 1 -1 -2 0 2 0 1] [ 1 1 4 0 -1 0 0 0 2 2 2 -1 1 -1 -1 -2 1 1 0 -1 0 1] [-1 0 0 4 -2 0 0 0 1 0 1 1 1 1 -1 2 -1 -1 1 1 -1 -1] [ 1 0 -1 -2 4 0 0 1 -2 0 -2 0 -1 -1 0 -1 -1 0 -1 0 0 1] [-1 0 0 0 0 4 0 -2 1 1 0 1 -1 -1 -1 -1 1 0 -1 0 -1 1] [ 1 -2 0 0 0 0 4 -1 2 0 0 0 1 1 0 -2 2 2 1 -2 1 0] [ 1 1 0 0 1 -2 -1 4 0 -1 0 0 -1 0 1 0 -2 -1 1 1 1 0] [ 2 -1 2 1 -2 1 2 0 6 1 2 1 0 1 0 -3 1 1 2 -1 0 0] [ 1 0 2 0 0 1 0 -1 1 4 0 0 0 0 0 -1 1 1 0 -1 0 0] [ 1 0 2 1 -2 0 0 0 2 0 4 0 0 -1 -1 0 0 0 0 0 0 0] [ 0 1 -1 1 0 1 0 0 1 0 0 4 -1 1 -1 1 -1 -2 0 1 0 0] [-1 0 1 1 -1 -1 1 -1 0 0 0 -1 4 0 0 0 1 0 1 0 0 0] [ 0 0 -1 1 -1 -1 1 0 1 0 -1 1 0 4 0 1 0 0 1 0 1 -1] [ 1 -1 -1 -1 0 -1 0 1 0 0 -1 -1 0 0 4 -1 0 0 2 0 0 0] [-2 1 -2 2 -1 -1 -2 0 -3 -1 0 1 0 1 -1 6 -1 -2 -1 2 0 -1] [ 0 -1 1 -1 -1 1 2 -2 1 1 0 -1 1 0 0 -1 4 2 0 -2 1 1] [ 1 -2 1 -1 0 0 2 -1 1 1 0 -2 0 0 0 -2 2 4 0 -2 1 0] [ 1 0 0 1 -1 -1 1 1 2 0 0 0 1 1 2 -1 0 0 4 0 0 0] [-1 2 -1 1 0 0 -2 1 -1 -1 0 1 0 0 0 2 -2 -2 0 4 0 0] [ 0 0 0 -1 0 -1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 4 -1] [ 1 1 1 -1 1 1 0 0 0 0 0 0 0 -1 0 -1 1 0 0 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1122. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 0 1 0 -2 0 0 -1 0 1 0 -1 -1 1 1 -1 0 1 0] [ 2 4 0 2 1 -1 -1 -1 -1 -1 -2 0 1 -1 0 1 0 -1 -1 0 0 1] [ 2 0 4 1 -1 0 0 -2 1 0 1 0 1 -1 -1 0 0 1 -1 0 0 0] [ 1 2 1 4 1 -2 0 -1 -1 -1 0 -1 1 -1 0 0 1 0 -1 -1 0 1] [ 0 1 -1 1 4 -2 1 -1 -2 1 0 0 1 1 0 1 0 0 -1 0 1 0] [ 1 -1 0 -2 -2 6 1 0 1 0 0 -1 1 -1 -2 -3 2 2 2 -1 -1 -2] [ 0 -1 0 0 1 1 4 0 0 1 0 -1 1 0 0 -2 2 2 1 -1 -1 0] [-2 -1 -2 -1 -1 0 0 4 1 -1 0 1 -2 1 1 -1 -1 -1 1 1 -1 0] [ 0 -1 1 -1 -2 1 0 1 4 -1 0 0 0 0 1 0 0 1 1 0 -1 1] [ 0 -1 0 -1 1 0 1 -1 -1 4 1 -1 1 0 0 -1 0 1 1 -1 1 0] [-1 -2 1 0 0 0 0 0 0 1 4 -1 0 0 -1 -1 0 1 1 -1 0 -1] [ 0 0 0 -1 0 -1 -1 1 0 -1 -1 4 -1 1 1 1 -2 -1 -2 2 0 0] [ 1 1 1 1 1 1 1 -2 0 1 0 -1 4 -2 -1 -1 1 2 0 -1 -1 1] [ 0 -1 -1 -1 1 -1 0 1 0 0 0 1 -2 4 0 1 0 0 -1 1 2 -1] [-1 0 -1 0 0 -2 0 1 1 0 -1 1 -1 0 4 1 -1 -1 0 0 0 2] [-1 1 0 0 1 -3 -2 -1 0 -1 -1 1 -1 1 1 6 -1 -2 -2 1 1 1] [ 1 0 0 1 0 2 2 -1 0 0 0 -2 1 0 -1 -1 4 2 1 -2 0 0] [ 1 -1 1 0 0 2 2 -1 1 1 1 -1 2 0 -1 -2 2 4 1 -1 0 0] [-1 -1 -1 -1 -1 2 1 1 1 1 1 -2 0 -1 0 -2 1 1 4 -2 -1 0] [ 0 0 0 -1 0 -1 -1 1 0 -1 -1 2 -1 1 0 1 -2 -1 -2 4 1 0] [ 1 0 0 0 1 -1 -1 -1 -1 1 0 0 -1 2 0 1 0 0 -1 1 4 -1] [ 0 1 0 1 0 -2 0 0 1 0 -1 0 1 -1 2 1 0 0 0 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1123. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 2 0 -1 -2 1 -1 -1 0 0 -2 -2 2 1 2 -2 1 0 -1 0] [-2 4 0 -1 0 1 2 -2 0 -1 0 0 2 0 -2 -2 -1 0 -1 0 1 0] [ 1 0 6 2 0 2 -3 2 1 -2 1 0 -3 0 3 2 -1 -3 0 0 -1 -1] [ 2 -1 2 6 2 1 -4 1 1 1 -1 2 -2 -3 2 2 1 -3 -1 2 -2 1] [ 0 0 0 2 4 1 0 1 2 2 -1 2 1 -2 -1 0 -1 0 -1 2 0 2] [-1 1 2 1 1 4 0 1 0 1 1 0 1 -1 -1 0 -1 0 -2 0 -1 1] [-2 2 -3 -4 0 0 6 -2 -1 0 1 -1 3 1 -4 -3 0 2 -1 -1 1 0] [ 1 -2 2 1 1 1 -2 4 0 1 0 0 -1 -1 2 1 0 0 1 0 -1 0] [-1 0 1 1 2 0 -1 0 4 1 -1 1 0 1 0 1 -2 0 0 1 1 0] [-1 -1 -2 1 2 1 0 1 1 6 0 0 2 -2 -2 -1 0 3 -1 0 0 1] [ 0 0 1 -1 -1 1 1 0 -1 0 4 -2 0 0 -1 0 1 1 0 -2 -1 0] [ 0 0 0 2 2 0 -1 0 1 0 -2 4 0 0 1 1 -1 -1 -1 2 0 1] [-2 2 -3 -2 1 1 3 -1 0 2 0 0 6 -1 -3 -3 0 2 0 0 2 1] [-2 0 0 -3 -2 -1 1 -1 1 -2 0 0 -1 6 0 1 -2 1 0 -1 1 -1] [ 2 -2 3 2 -1 -1 -4 2 0 -2 -1 1 -3 0 6 3 0 -3 2 1 0 -2] [ 1 -2 2 2 0 0 -3 1 1 -1 0 1 -3 1 3 4 -1 -1 0 1 -1 0] [ 2 -1 -1 1 -1 -1 0 0 -2 0 1 -1 0 -2 0 -1 4 -1 1 -1 -1 0] [-2 0 -3 -3 0 0 2 0 0 3 1 -1 2 1 -3 -1 -1 6 0 -1 1 1] [ 1 -1 0 -1 -1 -2 -1 1 0 -1 0 -1 0 0 2 0 1 0 4 -1 1 -1] [ 0 0 0 2 2 0 -1 0 1 0 -2 2 0 -1 1 1 -1 -1 -1 4 1 1] [-1 1 -1 -2 0 -1 1 -1 1 0 -1 0 2 1 0 -1 -1 1 1 1 4 -1] [ 0 0 -1 1 2 1 0 0 0 1 0 1 1 -1 -2 0 0 1 -1 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1124. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 -1 -1 2 1 2 2 -1 0 2 -1 0 0 -1 0 0 1] [ 1 4 2 -1 -2 2 -2 -2 1 -1 1 -1 0 1 1 -2 1 0 -1 0 0 1] [ 2 2 6 1 -1 1 -3 -3 1 -2 2 0 -1 2 0 -1 -1 1 1 -1 1 2] [-1 -1 1 4 0 0 0 0 0 0 0 1 -1 1 0 0 -2 0 1 0 0 -1] [-1 -2 -1 0 4 -2 1 1 -2 1 -2 -1 0 -1 -1 0 -1 -1 0 1 -1 1] [ 1 2 1 0 -2 4 -1 -2 0 -1 1 0 1 0 1 -1 0 -1 -1 1 0 0] [-1 -2 -3 0 1 -1 4 1 -1 1 0 1 1 -2 0 0 -1 -1 -1 1 -1 -2] [-1 -2 -3 0 1 -2 1 4 0 2 -1 0 0 -1 0 2 1 0 0 0 0 -1] [ 2 1 1 0 -2 0 -1 0 4 1 1 2 -1 0 1 0 0 1 0 -1 1 0] [ 1 -1 -2 0 1 -1 1 2 1 4 0 2 -1 -1 1 0 0 -1 -1 1 0 0] [ 2 1 2 0 -2 1 0 -1 1 0 6 0 -1 0 2 -1 1 0 -1 0 2 0] [ 2 -1 0 1 -1 0 1 0 2 2 0 6 0 -1 1 0 -2 1 -1 -1 -1 -1] [-1 0 -1 -1 0 1 1 0 -1 -1 -1 0 4 -1 -1 0 0 -1 0 1 -1 -1] [ 0 1 2 1 -1 0 -2 -1 0 -1 0 -1 -1 4 0 0 0 1 2 -1 1 0] [ 2 1 0 0 -1 1 0 0 1 1 2 1 -1 0 4 -1 0 -1 -2 0 0 0] [-1 -2 -1 0 0 -1 0 2 0 0 -1 0 0 0 -1 4 1 1 1 -1 1 0] [ 0 1 -1 -2 -1 0 -1 1 0 0 1 -2 0 0 0 1 4 0 0 0 1 1] [ 0 0 1 0 -1 -1 -1 0 1 -1 0 1 -1 1 -1 1 0 4 1 -2 1 0] [-1 -1 1 1 0 -1 -1 0 0 -1 -1 -1 0 2 -2 1 0 1 4 -1 1 0] [ 0 0 -1 0 1 1 1 0 -1 1 0 -1 1 -1 0 -1 0 -2 -1 4 0 0] [ 0 0 1 0 -1 0 -1 0 1 0 2 -1 -1 1 0 1 1 1 1 0 4 0] [ 1 1 2 -1 1 0 -2 -1 0 0 0 -1 -1 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1125. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 1 0 1 2 1 0 1 1 -2 1 -1 -1 0 -1 1 1 1 2] [ 1 4 -2 1 1 0 0 1 -1 1 0 1 -2 -1 -2 -1 1 -2 0 0 0 1] [-1 -2 4 -2 -1 -1 -1 -1 -1 0 0 0 0 1 2 1 0 2 -1 0 0 0] [ 2 1 -2 4 0 0 0 1 1 0 1 1 0 0 -2 -1 -1 -2 2 1 0 1] [ 1 1 -1 0 4 -1 -1 2 0 0 -1 0 -2 0 -2 1 2 -1 0 -1 -1 1] [ 0 0 -1 0 -1 4 2 0 1 1 -1 1 0 1 -1 -2 -2 0 1 -1 0 0] [ 1 0 -1 0 -1 2 4 1 1 1 1 0 -1 1 1 -2 -2 0 1 1 1 1] [ 2 1 -1 1 2 0 1 4 0 1 0 0 -3 1 -2 0 0 -1 0 0 -1 2] [ 1 -1 -1 1 0 1 1 0 4 -1 1 -1 0 1 0 0 -1 1 1 1 1 0] [ 0 1 0 0 0 1 1 1 -1 4 -1 0 -1 1 -1 -1 0 0 1 -1 0 1] [ 1 0 0 1 -1 -1 1 0 1 -1 4 -1 0 -1 2 0 -1 0 0 2 1 1] [ 1 1 0 1 0 1 0 0 -1 0 -1 4 0 0 -2 -2 0 -1 1 -1 -1 0] [-2 -2 0 0 -2 0 -1 -3 0 -1 0 0 6 -2 2 0 0 0 1 0 0 -2] [ 1 -1 1 0 0 1 1 1 1 1 -1 0 -2 4 -1 0 -1 1 0 0 1 1] [-1 -2 2 -2 -2 -1 1 -2 0 -1 2 -2 2 -1 6 0 -1 1 0 2 1 0] [-1 -1 1 -1 1 -2 -2 0 0 -1 0 -2 0 0 0 4 2 1 -2 0 0 0] [ 0 1 0 -1 2 -2 -2 0 -1 0 -1 0 0 -1 -1 2 4 0 -1 -1 0 0] [-1 -2 2 -2 -1 0 0 -1 1 0 0 -1 0 1 1 1 0 4 -1 0 1 -1] [ 1 0 -1 2 0 1 1 0 1 1 0 1 1 0 0 -2 -1 -1 4 0 0 1] [ 1 0 0 1 -1 -1 1 0 1 -1 2 -1 0 0 2 0 -1 0 0 4 2 1] [ 1 0 0 0 -1 0 1 -1 1 0 1 -1 0 1 1 0 0 1 0 2 4 0] [ 2 1 0 1 1 0 1 2 0 1 1 0 -2 1 0 0 0 -1 1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1126. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 2 1 -1 0 1 -1 0 0 0 0 1 -1 -1 -1 2 2 0 0 -1] [-2 4 1 -1 0 0 -1 -2 1 1 0 1 1 -1 0 1 1 -2 -1 0 0 1] [-2 1 4 0 -2 0 0 0 1 1 -1 1 1 0 -1 0 2 -2 -2 -1 0 2] [ 2 -1 0 4 -1 -1 1 1 1 0 1 1 0 1 -1 0 -1 0 1 1 -1 0] [ 1 0 -2 -1 4 -1 0 0 0 0 0 0 -1 0 0 1 -1 1 1 0 0 0] [-1 0 0 -1 -1 4 -1 0 0 -1 1 -2 -1 1 0 -1 0 0 0 1 0 -1] [ 0 -1 0 1 0 -1 4 0 1 -1 0 0 0 1 0 0 -2 1 0 0 1 1] [ 1 -2 0 1 0 0 0 4 1 -1 -1 0 0 1 0 1 -1 0 1 -1 0 -1] [-1 1 1 1 0 0 1 1 4 0 0 0 1 1 -1 2 -1 -1 -1 0 -1 1] [ 0 1 1 0 0 -1 -1 -1 0 4 -1 0 1 0 -1 0 2 0 0 -1 0 1] [ 0 0 -1 1 0 1 0 -1 0 -1 4 -1 -1 -1 1 0 -1 0 0 2 -1 0] [ 0 1 1 1 0 -2 0 0 0 0 -1 4 1 -1 -1 0 1 -1 0 -1 -1 0] [ 0 1 1 0 -1 -1 0 0 1 1 -1 1 4 -1 0 0 1 -1 0 -1 0 1] [ 1 -1 0 1 0 1 1 1 1 0 -1 -1 -1 4 -2 0 -1 1 0 0 1 0] [-1 0 -1 -1 0 0 0 0 -1 -1 1 -1 0 -2 4 0 -1 -1 1 1 0 0] [-1 1 0 0 1 -1 0 1 2 0 0 0 0 0 0 4 0 -1 -1 0 0 1] [-1 1 2 -1 -1 0 -2 -1 -1 2 -1 1 1 -1 -1 0 4 -1 -1 -1 0 1] [ 2 -2 -2 0 1 0 1 0 -1 0 0 -1 -1 1 -1 -1 -1 4 1 0 1 -1] [ 2 -1 -2 1 1 0 0 1 -1 0 0 0 0 0 1 -1 -1 1 4 0 0 -1] [ 0 0 -1 1 0 1 0 -1 0 -1 2 -1 -1 0 1 0 -1 0 0 4 0 0] [ 0 0 0 -1 0 0 1 0 -1 0 -1 -1 0 1 0 0 0 1 0 0 4 0] [-1 1 2 0 0 -1 1 -1 1 1 0 0 1 0 0 1 1 -1 -1 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1127. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 1 -2 1 -1 1 1 -2 -1 1 -1 -1 1 0 0 0 0 0 0] [ 2 4 -1 1 0 -2 0 0 2 0 -2 0 1 -2 0 1 -1 0 -1 0 0 1] [ 0 -1 4 -2 1 1 1 -1 -1 2 0 -2 1 -1 -2 -2 1 1 2 -1 1 1] [-1 1 -2 6 -2 0 1 0 1 -1 2 1 -1 1 0 0 1 1 -1 -1 -1 2] [ 1 0 1 -2 4 -1 1 -1 -1 0 0 0 2 0 0 -1 1 -1 0 1 -1 0] [-2 -2 1 0 -1 4 -1 1 0 1 1 -1 -1 1 0 0 0 1 1 -1 1 0] [ 1 0 1 1 1 -1 4 -2 -1 1 1 -1 0 1 -1 -2 1 0 0 0 -1 1] [-1 0 -1 0 -1 1 -2 4 0 0 0 0 -1 0 2 1 0 -1 1 1 1 -1] [ 1 2 -1 1 -1 0 -1 0 4 1 -1 0 0 -1 0 2 -2 0 0 0 1 1] [ 1 0 2 -1 0 1 1 0 1 4 0 -2 0 0 -1 0 0 0 2 0 2 1] [-2 -2 0 2 0 1 1 0 -1 0 4 1 -1 2 0 -1 1 0 0 0 0 1] [-1 0 -2 1 0 -1 -1 0 0 -2 1 4 -1 1 1 1 -1 0 -2 0 0 0] [ 1 1 1 -1 2 -1 0 -1 0 0 -1 -1 4 -1 -1 -1 1 -1 1 1 -1 0] [-1 -2 -1 1 0 1 1 0 -1 0 2 1 -1 4 1 0 0 0 0 0 0 -1] [-1 0 -2 0 0 0 -1 2 0 -1 0 1 -1 1 4 1 -1 -2 -1 1 0 -1] [ 1 1 -2 0 -1 0 -2 1 2 0 -1 1 -1 0 1 4 -1 0 -1 0 1 0] [ 0 -1 1 1 1 0 1 0 -2 0 1 -1 1 0 -1 -1 4 0 1 0 -1 1] [ 0 0 1 1 -1 1 0 -1 0 0 0 0 -1 0 -2 0 0 4 0 -2 1 1] [ 0 -1 2 -1 0 1 0 1 0 2 0 -2 1 0 -1 -1 1 0 4 0 1 0] [ 0 0 -1 -1 1 -1 0 1 0 0 0 0 1 0 1 0 0 -2 0 4 0 -1] [ 0 0 1 -1 -1 1 -1 1 1 2 0 0 -1 0 0 1 -1 1 1 0 4 0] [ 0 1 1 2 0 0 1 -1 1 1 1 0 0 -1 -1 0 1 1 0 -1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1128. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 1 2 1 -1 -1 -1 -2 0 -2 -1 0 -1 0 1 2 -1 -2 0 1] [-2 4 -1 0 -2 -2 0 2 1 2 0 2 0 -1 0 -1 -1 -2 2 2 1 0] [ 1 -1 4 -1 0 0 1 0 -2 0 1 -2 1 -1 -1 1 0 2 1 0 1 1] [ 1 0 -1 4 0 1 -2 -1 0 -1 1 0 -1 1 0 0 1 0 -1 -1 0 1] [ 2 -2 0 0 4 1 0 0 -1 -2 0 -2 0 1 1 1 1 2 -1 -2 -1 1] [ 1 -2 0 1 1 4 0 -2 0 -1 -1 -2 -1 1 -1 0 2 1 -1 -1 0 -1] [-1 0 1 -2 0 0 4 0 1 0 -1 -1 2 0 0 -1 1 0 1 0 0 -1] [-1 2 0 -1 0 -2 0 4 -1 1 1 0 1 0 0 1 -1 0 2 1 1 0] [-1 1 -2 0 -1 0 1 -1 4 0 -1 2 0 0 1 -2 1 -2 0 0 -1 -1] [-2 2 0 -1 -2 -1 0 1 0 4 -1 1 1 0 0 0 -1 -1 1 2 0 -1] [ 0 0 1 1 0 -1 -1 1 -1 -1 4 1 0 -1 0 1 -1 1 0 -1 1 2] [-2 2 -2 0 -2 -2 -1 0 2 1 1 6 0 -1 1 0 -1 -3 -1 1 -1 0] [-1 0 1 -1 0 -1 2 1 0 1 0 0 4 0 1 1 0 0 0 0 0 0] [ 0 -1 -1 1 1 1 0 0 0 0 -1 -1 0 4 0 0 2 0 0 0 -2 -1] [-1 0 -1 0 1 -1 0 0 1 0 0 1 1 0 4 1 -1 0 -1 0 -1 0] [ 0 -1 1 0 1 0 -1 1 -2 0 1 0 1 0 1 4 0 1 -1 0 0 1] [ 1 -1 0 1 1 2 1 -1 1 -1 -1 -1 0 2 -1 0 4 0 0 -1 -1 0] [ 2 -2 2 0 2 1 0 0 -2 -1 1 -3 0 0 0 1 0 4 0 -1 1 1] [-1 2 1 -1 -1 -1 1 2 0 1 0 -1 0 0 -1 -1 0 0 4 1 1 0] [-2 2 0 -1 -2 -1 0 1 0 2 -1 1 0 0 0 0 -1 -1 1 4 1 -1] [ 0 1 1 0 -1 0 0 1 -1 0 1 -1 0 -2 -1 0 -1 1 1 1 4 0] [ 1 0 1 1 1 -1 -1 0 -1 -1 2 0 0 -1 0 1 0 1 0 -1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1129. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 1 1 -1 0 -1 0 0 -1 1 1 0 -2 -1 2 -1 0 1 0] [-2 4 0 1 -2 0 0 1 2 0 0 1 0 -1 0 2 -1 -2 2 0 -1 1] [-2 0 4 2 0 -2 1 -1 0 0 -1 0 -2 -1 0 0 1 -1 0 -1 0 -1] [-2 1 2 4 0 -2 1 0 0 1 -1 1 -1 0 -1 1 1 -2 1 -1 0 1] [ 1 -2 0 0 4 1 -1 -1 -2 1 1 0 0 1 1 -2 2 0 -1 1 1 1] [ 1 0 -2 -2 1 4 -2 0 0 0 1 -1 2 1 0 0 0 1 -1 1 1 1] [-1 0 1 1 -1 -2 4 1 0 1 0 1 -1 -1 0 1 -1 -1 0 0 0 -1] [ 0 1 -1 0 -1 0 1 4 1 1 1 2 0 1 1 1 0 0 1 1 -1 1] [-1 2 0 0 -2 0 0 1 4 0 1 0 -1 -1 0 1 -1 0 2 1 0 0] [ 0 0 0 1 1 0 1 1 0 4 0 0 0 1 0 0 1 0 1 0 1 1] [ 0 0 -1 -1 1 1 0 1 1 0 4 0 0 -1 2 0 0 0 0 2 0 1] [-1 1 0 1 0 -1 1 2 0 0 0 4 0 0 0 0 1 -1 1 0 -2 0] [ 1 0 -2 -1 0 2 -1 0 -1 0 0 0 4 0 0 0 0 0 0 0 0 1] [ 1 -1 -1 0 1 1 -1 1 -1 1 -1 0 0 4 -1 0 1 1 -1 0 1 1] [ 0 0 0 -1 1 0 0 1 0 0 2 0 0 -1 4 -1 0 -1 1 2 -1 1] [-2 2 0 1 -2 0 1 1 1 0 0 0 0 0 -1 4 0 -1 0 0 0 1] [-1 -1 1 1 2 0 -1 0 -1 1 0 1 0 1 0 0 4 0 0 0 0 1] [ 2 -2 -1 -2 0 1 -1 0 0 0 0 -1 0 1 -1 -1 0 4 -1 0 1 -1] [-1 2 0 1 -1 -1 0 1 2 1 0 1 0 -1 1 0 0 -1 4 0 -1 1] [ 0 0 -1 -1 1 1 0 1 1 0 2 0 0 0 2 0 0 0 0 4 1 1] [ 1 -1 0 0 1 1 0 -1 0 1 0 -2 0 1 -1 0 0 1 -1 1 4 0] [ 0 1 -1 1 1 1 -1 1 0 1 1 0 1 1 1 1 1 -1 1 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1130. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -2 -1 0 -2 2 1 1 1 1 1 -2 -1 1 1 -1 -1 0 0] [-1 4 -1 0 1 2 1 0 0 1 0 0 -1 -2 1 0 1 1 2 -1 -1 0] [-2 -1 4 -2 2 0 -1 2 -1 -1 0 -1 -1 1 1 0 0 -1 0 1 1 0] [ 2 0 -2 4 -2 -1 -1 -1 0 0 -1 1 1 1 0 1 0 1 -1 -1 -1 -1] [-2 1 2 -2 4 2 1 1 -1 -1 1 -1 -1 -1 1 0 0 -1 2 1 0 0] [-1 2 0 -1 2 4 2 1 0 1 1 0 0 -1 1 0 1 0 1 0 0 -1] [ 0 1 -1 -1 1 2 4 -1 1 1 2 -1 -1 -2 -1 -1 0 1 1 -1 -1 -1] [-2 0 2 -1 1 1 -1 4 -2 0 -1 0 0 1 2 0 1 -1 0 1 1 0] [ 2 0 -1 0 -1 0 1 -2 4 1 2 0 0 0 -2 -1 1 0 0 0 0 0] [ 1 1 -1 0 -1 1 1 0 1 4 0 1 0 -1 -1 -2 2 2 0 -2 -1 0] [ 1 0 0 -1 1 1 2 -1 2 0 6 -2 1 0 0 0 0 0 0 0 1 1] [ 1 0 -1 1 -1 0 -1 0 0 1 -2 4 1 0 -1 -1 2 1 -1 -1 -1 1] [ 1 -1 -1 1 -1 0 -1 0 0 0 1 1 4 1 0 1 0 -1 -2 0 1 1] [ 1 -2 1 1 -1 -1 -2 1 0 -1 0 0 1 4 0 1 0 -1 -2 1 2 0] [-2 1 1 0 1 1 -1 2 -2 -1 0 -1 0 0 4 1 -1 -1 1 1 0 0] [-1 0 0 1 0 0 -1 0 -1 -2 0 -1 1 1 1 4 -1 -1 -1 1 1 0] [ 1 1 0 0 0 1 0 1 1 2 0 2 0 0 -1 -1 4 1 0 -1 0 1] [ 1 1 -1 1 -1 0 1 -1 0 2 0 1 -1 -1 -1 -1 1 4 0 -2 -1 0] [-1 2 0 -1 2 1 1 0 0 0 0 -1 -2 -2 1 -1 0 0 4 0 -1 0] [-1 -1 1 -1 1 0 -1 1 0 -2 0 -1 0 1 1 1 -1 -2 0 4 2 0] [ 0 -1 1 -1 0 0 -1 1 0 -1 1 -1 1 2 0 1 0 -1 -1 2 4 0] [ 0 0 0 -1 0 -1 -1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1131. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 -2 0 0 -1 1 2 -1 -1 -2 -1 0 2 -1 2 0 1 0 0 1] [-1 4 0 0 0 -1 1 -2 1 1 0 1 1 0 0 0 0 1 -2 -1 1 -1] [ 1 0 4 0 -1 1 0 1 2 -1 0 0 -1 1 2 1 -1 -1 1 1 1 0] [-2 0 0 6 2 -2 -1 1 0 -1 2 1 0 0 -2 -1 -1 2 -1 -1 1 1] [ 0 0 -1 2 4 -2 0 0 0 -1 0 0 1 -1 0 0 0 2 -1 -1 0 2] [ 0 -1 1 -2 -2 4 1 1 -1 0 0 0 0 0 0 1 -1 -2 2 2 -1 -1] [-1 1 0 -1 0 1 4 -2 0 1 -1 1 2 1 0 2 -1 0 1 1 0 -1] [ 1 -2 1 1 0 1 -2 4 0 -2 1 0 -1 0 0 -1 0 -1 1 0 0 1] [ 2 1 2 0 0 -1 0 0 4 -1 -1 -1 -1 1 2 0 1 0 0 0 1 1] [-1 1 -1 -1 -1 0 1 -2 -1 4 -1 0 0 -1 -1 0 1 1 0 -1 -1 -1] [-1 0 0 2 0 0 -1 1 -1 -1 4 0 1 -1 -1 -1 0 0 0 0 0 -1] [-2 1 0 1 0 0 1 0 -1 0 0 4 0 0 -1 1 -2 0 -1 -1 0 -1] [-1 1 -1 0 1 0 2 -1 -1 0 1 0 4 0 0 0 0 1 0 1 1 0] [ 0 0 1 0 -1 0 1 0 1 -1 -1 0 0 4 0 1 -1 -1 0 1 2 0] [ 2 0 2 -2 0 0 0 0 2 -1 -1 -1 0 0 4 0 0 -1 1 1 0 1] [-1 0 1 -1 0 1 2 -1 0 0 -1 1 0 1 0 4 -1 -1 0 1 0 0] [ 2 0 -1 -1 0 -1 -1 0 1 1 0 -2 0 -1 0 -1 4 1 0 -1 0 1] [ 0 1 -1 2 2 -2 0 -1 0 1 0 0 1 -1 -1 -1 1 4 -1 -1 1 1] [ 1 -2 1 -1 -1 2 1 1 0 0 0 -1 0 0 1 0 0 -1 4 1 -1 0] [ 0 -1 1 -1 -1 2 1 0 0 -1 0 -1 1 1 1 1 -1 -1 1 4 1 0] [ 0 1 1 1 0 -1 0 0 1 -1 0 0 1 2 0 0 0 1 -1 1 4 0] [ 1 -1 0 1 2 -1 -1 1 1 -1 -1 -1 0 0 1 0 1 1 0 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1132. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -2 1 0 -1 1 -1 2 -2 -1 -1 0 1 -1 1 2 -1 0 0 1] [-2 6 2 2 -2 -2 -1 -1 -1 -2 1 -2 0 0 -3 -1 1 0 2 0 1 0] [ 0 2 4 2 -1 -2 0 1 0 -2 0 0 1 0 -1 0 1 0 1 1 0 0] [-2 2 2 4 0 -1 1 0 0 -1 1 0 2 -1 -1 1 -1 0 0 1 0 -1] [ 1 -2 -1 0 4 0 1 0 -1 2 -1 0 0 0 1 0 -2 2 0 -1 -1 0] [ 0 -2 -2 -1 0 4 1 1 1 1 0 1 -1 1 0 1 -1 -1 -2 1 -1 1] [-1 -1 0 1 1 1 4 1 0 0 1 1 0 -1 0 2 -2 0 0 1 0 1] [ 1 -1 1 0 0 1 1 4 1 -1 -1 1 0 0 1 0 1 0 -1 1 -1 1] [-1 -1 0 0 -1 1 0 1 4 -2 1 2 1 1 0 1 0 -2 -1 0 0 -1] [ 2 -2 -2 -1 2 1 0 -1 -2 6 0 -2 0 0 1 -1 -1 2 -1 -1 0 0] [-2 1 0 1 -1 0 1 -1 1 0 4 0 0 -1 -1 1 -1 -1 0 -1 0 -1] [-1 -2 0 0 0 1 1 1 2 -2 0 4 1 1 1 2 -1 -2 0 1 -1 -1] [-1 0 1 2 0 -1 0 0 1 0 0 1 4 0 1 0 0 0 0 1 1 -1] [ 0 0 0 -1 0 1 -1 0 1 0 -1 1 0 4 -1 0 0 -1 0 0 0 0] [ 1 -3 -1 -1 1 0 0 1 0 1 -1 1 1 -1 4 -1 0 0 0 0 -1 0] [-1 -1 0 1 0 1 2 0 1 -1 1 2 0 0 -1 4 -1 -1 -1 1 0 0] [ 1 1 1 -1 -2 -1 -2 1 0 -1 -1 -1 0 0 0 -1 4 0 0 0 1 1] [ 2 0 0 0 2 -1 0 0 -2 2 -1 -2 0 -1 0 -1 0 4 0 0 1 1] [-1 2 1 0 0 -2 0 -1 -1 -1 0 0 0 0 0 -1 0 0 4 -1 0 0] [ 0 0 1 1 -1 1 1 1 0 -1 -1 1 1 0 0 1 0 0 -1 4 1 1] [ 0 1 0 0 -1 -1 0 -1 0 0 0 -1 1 0 -1 0 1 1 0 1 4 0] [ 1 0 0 -1 0 1 1 1 -1 0 -1 -1 -1 0 0 0 1 1 0 1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1133. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 0 2 2 1 -2 -2 -2 -1 0 -1 -1 -1 -1 -1 1 1 -1 -1 2] [-2 4 -1 1 -2 -1 1 2 0 0 2 -1 0 0 1 0 1 -2 -2 2 0 -1] [ 1 -1 4 1 0 -1 1 0 -1 -1 1 2 -1 1 0 1 -2 0 0 0 -1 2] [ 0 1 1 4 0 -1 2 1 -1 0 2 1 1 1 -1 -1 1 -2 -2 2 -1 2] [ 2 -2 0 0 4 1 -1 -1 0 0 -2 0 -1 -1 0 0 -1 0 1 0 0 2] [ 2 -1 -1 -1 1 6 -2 -1 0 1 0 -2 -1 -3 1 0 -2 -1 0 1 -1 -2] [ 1 1 1 2 -1 -2 6 1 -1 -3 1 1 0 1 -1 -2 2 1 -1 -1 0 2] [-2 2 0 1 -1 -1 1 4 0 1 1 0 1 1 1 1 0 -2 -2 2 1 0] [-2 0 -1 -1 0 0 -1 0 4 1 0 -1 -1 -1 1 0 1 0 0 0 0 -2] [-2 0 -1 0 0 1 -3 1 1 4 0 0 1 0 1 1 -1 -1 -1 1 1 -2] [-1 2 1 2 -2 0 1 1 0 0 4 0 0 0 0 0 0 -2 -2 2 -1 0] [ 0 -1 2 1 0 -2 1 0 -1 0 0 4 1 1 -1 0 0 0 1 0 0 1] [-1 0 -1 1 -1 -1 0 1 -1 1 0 1 4 2 -1 0 2 0 0 0 1 0] [-1 0 1 1 -1 -3 1 1 -1 0 0 1 2 4 -1 0 1 1 0 -1 1 1] [-1 1 0 -1 0 1 -1 1 1 1 0 -1 -1 -1 4 1 -1 -1 -1 0 1 -1] [-1 0 1 -1 0 0 -2 1 0 1 0 0 0 0 1 4 -2 -1 0 1 0 0] [-1 1 -2 1 -1 -2 2 0 1 -1 0 0 2 1 -1 -2 6 1 0 -1 1 -1] [ 1 -2 0 -2 0 -1 1 -2 0 -1 -2 0 0 1 -1 -1 1 6 2 -4 2 0] [ 1 -2 0 -2 1 0 -1 -2 0 -1 -2 1 0 0 -1 0 0 2 4 -2 0 0] [-1 2 0 2 0 1 -1 2 0 1 2 0 0 -1 0 1 -1 -4 -2 6 -1 0] [-1 0 -1 -1 0 -1 0 1 0 1 -1 0 1 1 1 0 1 2 0 -1 4 -1] [ 2 -1 2 2 2 -2 2 0 -2 -2 0 1 0 1 -1 0 -1 0 0 0 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1134. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 1 0 1 1 0 1 1 -1 1 0 -1 -1 -1 1 1 0 2] [-2 4 2 1 -1 -1 0 0 0 1 0 0 1 -2 0 0 1 1 -1 -1 0 0] [-2 2 4 1 0 -1 -1 1 -1 0 -1 0 1 -1 1 1 1 0 0 0 -1 -2] [ 0 1 1 4 -1 1 1 -1 -1 -1 1 1 2 0 -1 -1 1 1 0 -1 1 -1] [ 1 -1 0 -1 4 0 -2 2 -1 0 1 1 0 1 2 -1 -1 -1 2 1 -2 -1] [ 1 -1 -1 1 0 4 -1 1 0 -2 1 -1 1 2 -1 -2 -1 1 -1 -1 1 -1] [ 0 0 -1 1 -2 -1 4 -3 0 0 -1 0 0 0 -1 1 0 0 0 0 2 2] [ 1 0 1 -1 2 1 -3 6 0 1 1 -1 0 -1 2 0 -2 0 1 0 -2 -1] [ 1 0 -1 -1 -1 0 0 0 4 0 1 -1 -1 0 -1 0 1 -1 -2 1 0 1] [ 0 1 0 -1 0 -2 0 1 0 4 -1 1 0 -2 0 0 -1 -1 1 1 -1 1] [ 1 0 -1 1 1 1 -1 1 1 -1 4 0 0 0 0 -1 1 0 0 0 0 0] [ 1 0 0 1 1 -1 0 -1 -1 1 0 4 1 0 0 -1 0 -1 1 1 0 1] [-1 1 1 2 0 1 0 0 -1 0 0 1 4 0 -1 -1 0 1 0 -1 0 -2] [ 1 -2 -1 0 1 2 0 -1 0 -2 0 0 0 4 0 -1 -1 0 0 0 1 -1] [ 0 0 1 -1 2 -1 -1 2 -1 0 0 0 -1 0 4 1 -1 -1 1 0 -1 0] [-1 0 1 -1 -1 -2 1 0 0 0 -1 -1 -1 -1 1 4 1 0 0 0 0 1] [-1 1 1 1 -1 -1 0 -2 1 -1 1 0 0 -1 -1 1 4 0 -1 0 0 0] [-1 1 0 1 -1 1 0 0 -1 -1 0 -1 1 0 -1 0 0 4 0 -2 1 -1] [ 1 -1 0 0 2 -1 0 1 -2 1 0 1 0 0 1 0 -1 0 4 0 -1 0] [ 1 -1 0 -1 1 -1 0 0 1 1 0 1 -1 0 0 0 0 -2 0 4 0 1] [ 0 0 -1 1 -2 1 2 -2 0 -1 0 0 0 1 -1 0 0 1 -1 0 4 1] [ 2 0 -2 -1 -1 -1 2 -1 1 1 0 1 -2 -1 0 1 0 -1 0 1 1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1135. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 1 0 1 -1 1 2 2 2 1 1 -1 -1 -1 1 1 0 0] [ 2 4 1 0 1 0 -1 0 0 1 2 1 1 1 1 -1 -1 -2 0 2 1 -1] [ 0 1 4 0 0 0 -2 -1 2 -1 1 -1 0 0 1 0 -1 -2 0 2 2 1] [ 0 0 0 4 -2 0 0 0 1 1 1 1 1 1 -1 1 -2 -1 1 1 2 0] [ 0 1 0 -2 4 0 0 1 -1 -1 -1 0 -1 -1 0 0 1 0 -1 0 0 -1] [ 1 0 0 0 0 4 0 2 0 -1 0 1 0 -1 -1 1 -1 0 -1 0 1 -1] [ 0 -1 -2 0 0 0 4 0 0 0 -1 1 1 1 -1 -1 2 2 1 -2 0 0] [ 1 0 -1 0 1 2 0 4 0 -1 0 1 -1 -1 0 0 -1 0 0 0 1 -1] [-1 0 2 1 -1 0 0 0 4 -1 0 0 0 1 0 -1 -1 -1 1 1 2 0] [ 1 1 -1 1 -1 -1 0 -1 -1 4 0 1 1 2 1 0 0 0 1 0 0 -1] [ 2 2 1 1 -1 0 -1 0 0 0 4 1 1 0 0 0 -2 -2 0 2 1 0] [ 2 1 -1 1 0 1 1 1 0 1 1 4 1 1 -1 0 -1 -1 0 0 1 -1] [ 2 1 0 1 -1 0 1 -1 0 1 1 1 4 1 1 -1 0 -1 2 1 0 1] [ 1 1 0 1 -1 -1 1 -1 1 2 0 1 1 4 0 -1 0 0 1 0 1 0] [ 1 1 1 -1 0 -1 -1 0 0 1 0 -1 1 0 4 -2 0 -1 2 1 -1 1] [-1 -1 0 1 0 1 -1 0 -1 0 0 0 -1 -1 -2 4 0 0 -2 0 1 0] [-1 -1 -1 -2 1 -1 2 -1 -1 0 -2 -1 0 0 0 0 4 2 0 -2 -1 1] [-1 -2 -2 -1 0 0 2 0 -1 0 -2 -1 -1 0 -1 0 2 4 0 -2 -1 0] [ 1 0 0 1 -1 -1 1 0 1 1 0 0 2 1 2 -2 0 0 4 0 0 1] [ 1 2 2 1 0 0 -2 0 1 0 2 0 1 0 1 0 -2 -2 0 4 2 0] [ 0 1 2 2 0 1 0 1 2 0 1 1 0 1 -1 1 -1 -1 0 2 6 -1] [ 0 -1 1 0 -1 -1 0 -1 0 -1 0 -1 1 0 1 0 1 0 1 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1136. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 -1 -1 -2 -1 0 -1 2 2 1 -1 0 0 -1 -1 0 1 0 -2] [ 2 4 2 0 -1 -1 -1 -2 0 -2 0 1 0 0 1 -1 0 0 0 0 1 -2] [ 2 2 6 -2 1 1 -2 -2 -1 0 0 -1 1 -2 -2 -2 -2 -2 -1 2 1 -2] [ 1 0 -2 4 0 0 1 0 1 0 1 2 1 1 2 2 0 0 0 0 -1 1] [-1 -1 1 0 4 0 0 1 -1 1 -1 -2 0 -1 -1 -1 0 -1 0 1 0 1] [-1 -1 1 0 0 6 -1 -1 0 1 1 0 0 0 -2 1 -2 -1 -2 1 -2 -1] [-2 -1 -2 1 0 -1 6 -1 2 2 -1 0 1 0 0 0 0 0 2 0 1 1] [-1 -2 -2 0 1 -1 -1 6 1 1 -2 0 0 0 2 0 3 1 1 -1 1 0] [ 0 0 -1 1 -1 0 2 1 4 0 0 1 0 1 1 1 0 1 1 -1 1 -1] [-1 -2 0 0 1 1 2 1 0 4 -1 0 2 -2 -1 -1 0 -1 0 1 0 0] [ 2 0 0 1 -1 1 -1 -2 0 -1 4 1 0 0 -1 1 -2 -1 0 1 -2 -1] [ 2 1 -1 2 -2 0 0 0 1 0 1 4 1 0 1 1 0 0 0 0 0 -1] [ 1 0 1 1 0 0 1 0 0 2 0 1 4 -1 0 -1 0 -2 1 2 0 -1] [-1 0 -2 1 -1 0 0 0 1 -2 0 0 -1 4 2 2 0 2 0 -2 0 1] [ 0 1 -2 2 -1 -2 0 2 1 -1 -1 1 0 2 6 1 2 1 0 -2 1 1] [ 0 -1 -2 2 -1 1 0 0 1 -1 1 1 -1 2 1 4 0 1 -1 -1 -1 2] [-1 0 -2 0 0 -2 0 3 0 0 -2 0 0 0 2 0 4 1 1 -1 1 1] [-1 0 -2 0 -1 -1 0 1 1 -1 -1 0 -2 2 1 1 1 4 0 -2 1 1] [ 0 0 -1 0 0 -2 2 1 1 0 0 0 1 0 0 -1 1 0 4 0 1 -1] [ 1 0 2 0 1 1 0 -1 -1 1 1 0 2 -2 -2 -1 -1 -2 0 4 0 -1] [ 0 1 1 -1 0 -2 1 1 1 0 -2 0 0 0 1 -1 1 1 1 0 4 -1] [-2 -2 -2 1 1 -1 1 0 -1 0 -1 -1 -1 1 1 2 1 1 -1 -1 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1137. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 2 -1 0 -1 1 2 1 -1 0 1 2 -1 -1 0 -2 -1 -2 1 0] [-1 4 1 0 1 1 2 0 0 0 1 1 1 -1 1 1 -1 1 0 2 -1 0] [ 1 1 4 2 0 2 0 2 1 -1 1 0 1 -1 -1 1 1 0 0 1 1 0] [ 2 0 2 4 -1 0 0 1 0 1 -1 0 0 0 -1 1 1 0 -1 0 1 -1] [-1 1 0 -1 4 0 1 -1 -1 -1 0 -1 1 -1 -1 -1 1 2 -1 0 1 -1] [ 0 1 2 0 0 4 1 2 1 -2 2 0 0 0 0 1 1 0 1 0 0 1] [-1 2 0 0 1 1 4 0 -1 -1 1 1 1 -1 1 0 -1 1 0 2 -1 0] [ 1 0 2 1 -1 2 0 4 2 0 0 1 1 0 0 0 1 -1 1 1 0 1] [ 2 0 1 0 -1 1 -1 2 4 0 0 1 1 1 0 0 0 -2 0 0 0 1] [ 1 0 -1 1 -1 -2 -1 0 0 4 -2 1 0 1 0 0 0 -1 0 0 0 0] [-1 1 1 -1 0 2 1 0 0 -2 4 -1 0 -1 1 0 0 1 0 0 -1 0] [ 0 1 0 0 -1 0 1 1 1 1 -1 4 0 1 0 1 -1 -1 0 1 -1 2] [ 1 1 1 0 1 0 1 1 1 0 0 0 4 0 1 -1 -1 -1 -1 1 1 -1] [ 2 -1 -1 0 -1 0 -1 0 1 1 -1 1 0 4 0 0 0 -2 -1 -3 0 1] [-1 1 -1 -1 -1 0 1 0 0 0 1 0 1 0 4 0 -1 0 1 1 -2 -1] [-1 1 1 1 -1 1 0 0 0 0 0 1 -1 0 0 4 1 0 0 1 0 1] [ 0 -1 1 1 1 1 -1 1 0 0 0 -1 -1 0 -1 1 4 1 0 -1 1 0] [-2 1 0 0 2 0 1 -1 -2 -1 1 -1 -1 -2 0 0 1 4 0 1 0 -1] [-1 0 0 -1 -1 1 0 1 0 0 0 0 -1 -1 1 0 0 0 4 1 -1 1] [-2 2 1 0 0 0 2 1 0 0 0 1 1 -3 1 1 -1 1 1 6 0 0] [ 1 -1 1 1 1 0 -1 0 0 0 -1 -1 1 0 -2 0 1 0 -1 0 4 -1] [ 0 0 0 -1 -1 1 0 1 1 0 0 2 -1 1 -1 1 0 -1 1 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1138. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 2 1 -1 -1 -1 -1 -1 -2 -1 -2 1 -1 -1 0 2 -1 2 0 -2] [ 0 4 2 1 1 1 0 -1 1 -1 0 0 1 -1 1 -1 -2 -1 -2 1 0 -1] [ 0 2 4 2 2 1 -1 -1 -1 0 1 1 0 0 0 -1 -2 -1 0 1 0 -1] [ 2 1 2 4 2 0 -2 -2 -1 0 0 -1 0 0 -1 0 -1 0 -1 2 0 -1] [ 1 1 2 2 4 -1 0 -2 0 -1 1 -1 1 0 -1 0 0 0 -1 1 0 0] [-1 1 1 0 -1 4 0 1 1 0 1 2 1 0 0 0 -1 0 1 0 0 -1] [-1 0 -1 -2 0 0 4 0 1 -1 0 1 2 1 0 1 1 0 0 -1 -1 1] [-1 -1 -1 -2 -2 1 0 4 1 0 0 1 -1 -1 1 -1 0 0 1 -1 1 0] [-1 1 -1 -1 0 1 1 1 4 0 0 0 2 -1 0 1 1 0 -1 -1 0 0] [-1 -1 0 0 -1 0 -1 0 0 4 -1 0 0 0 1 1 1 0 1 -1 -1 1] [-2 0 1 0 1 1 0 0 0 -1 4 1 1 -1 -1 0 -1 -1 1 -1 1 1] [-1 0 1 -1 -1 2 1 1 0 0 1 4 0 1 0 -1 -1 0 1 -1 0 -1] [-2 1 0 0 1 1 2 -1 2 0 1 0 6 1 -1 2 1 -2 0 0 -2 1] [ 1 -1 0 0 0 0 1 -1 -1 0 -1 1 1 4 -1 0 1 1 1 0 -2 -1] [-1 1 0 -1 -1 0 0 1 0 1 -1 0 -1 -1 4 0 -1 -1 0 0 1 1] [-1 -1 -1 0 0 0 1 -1 1 1 0 -1 2 0 0 4 1 -1 1 0 0 2] [ 0 -2 -2 -1 0 -1 1 0 1 1 -1 -1 1 1 -1 1 4 1 0 -1 -1 1] [ 2 -1 -1 0 0 0 0 0 0 0 -1 0 -2 1 -1 -1 1 4 0 0 0 -1] [-1 -2 0 -1 -1 1 0 1 -1 1 1 1 0 1 0 1 0 0 4 -1 0 1] [ 2 1 1 2 1 0 -1 -1 -1 -1 -1 -1 0 0 0 0 -1 0 -1 4 1 -1] [ 0 0 0 0 0 0 -1 1 0 -1 1 0 -2 -2 1 0 -1 0 0 1 4 0] [-2 -1 -1 -1 0 -1 1 0 0 1 1 -1 1 -1 1 2 1 -1 1 -1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1139. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 0 1 -2 0 -1 0 1 -2 -1 1 0 0 1 1 1 1 0 -2] [ 2 4 0 0 -1 0 -1 1 0 1 -1 -2 0 -1 0 -1 0 1 -1 -1 0 -2] [ 2 0 4 1 1 1 -2 -1 -1 -1 0 0 -1 1 1 0 2 -1 2 1 -1 0] [ 2 0 1 4 0 0 -2 1 0 1 0 -2 0 0 -1 1 0 0 2 0 1 -1] [ 0 -1 1 0 4 2 1 0 -1 -1 -1 0 1 2 0 -1 -1 -1 0 2 0 -1] [ 1 0 1 0 2 6 -2 0 -2 -2 0 2 -2 0 -1 -2 0 -2 -1 0 1 -3] [-2 -1 -2 -2 1 -2 6 0 2 1 -1 1 1 0 1 -1 -2 2 -1 0 -1 2] [ 0 1 -1 1 0 0 0 4 1 0 0 -1 0 -2 -2 0 -2 0 0 -2 2 -2] [-1 0 -1 0 -1 -2 2 1 4 0 0 0 1 -2 0 1 -1 1 1 -2 0 1] [ 0 1 -1 1 -1 -2 1 0 0 4 -1 -2 1 0 0 -1 0 1 0 0 0 1] [ 1 -1 0 0 -1 0 -1 0 0 -1 6 -1 -1 2 0 1 0 1 1 2 0 1] [-2 -2 0 -2 0 2 1 -1 0 -2 -1 6 -1 -2 1 0 1 -2 -1 -2 -1 0] [-1 0 -1 0 1 -2 1 0 1 1 -1 -1 4 1 0 1 -1 0 0 1 0 0] [ 1 -1 1 0 2 0 0 -2 -2 0 2 -2 1 6 0 0 0 1 0 4 -1 1] [ 0 0 1 -1 0 -1 1 -2 0 0 0 1 0 0 4 0 1 0 0 1 -2 2] [ 0 -1 0 1 -1 -2 -1 0 1 -1 1 0 1 0 0 4 1 0 1 0 0 1] [ 1 0 2 0 -1 0 -2 -2 -1 0 0 1 -1 0 1 1 4 -1 1 0 -1 1] [ 1 1 -1 0 -1 -2 2 0 1 1 1 -2 0 1 0 0 -1 4 0 1 0 1] [ 1 -1 2 2 0 -1 -1 0 1 0 1 -1 0 0 0 1 1 0 4 0 0 1] [ 1 -1 1 0 2 0 0 -2 -2 0 2 -2 1 4 1 0 0 1 0 6 0 1] [ 0 0 -1 1 0 1 -1 2 0 0 0 -1 0 -1 -2 0 -1 0 0 0 4 -2] [-2 -2 0 -1 -1 -3 2 -2 1 1 1 0 0 1 2 1 1 1 1 1 -2 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1140. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 1 -2 1 1 0 1 0 0 1 0 -2 2 1 -1 0 -1 1] [ 0 4 -1 1 0 1 0 1 1 -1 -1 -1 -1 -2 0 1 0 1 1 0 -1 0] [ 1 -1 4 0 -1 -1 0 1 -1 1 1 0 1 1 -1 -2 -1 0 -2 1 0 1] [-2 1 0 4 0 -1 2 -1 0 -1 0 -1 -1 -2 -1 1 -2 -1 0 0 1 -1] [ 0 0 -1 0 4 2 0 -2 -1 1 0 1 0 -2 0 1 0 0 0 -2 0 -1] [ 1 1 -1 -1 2 4 0 0 -1 0 0 0 0 -2 0 1 1 1 1 0 -1 0] [-2 0 0 2 0 0 4 -1 0 0 0 -1 1 -2 0 1 -1 0 0 0 0 0] [ 1 1 1 -1 -2 0 -1 4 1 0 -1 -1 0 2 -1 -1 1 1 1 1 -1 0] [ 1 1 -1 0 -1 -1 0 1 4 0 0 -1 -1 0 1 -1 1 1 1 0 -1 0] [ 0 -1 1 -1 1 0 0 0 0 4 1 0 1 1 0 0 1 1 0 -1 -1 1] [ 1 -1 1 0 0 0 0 -1 0 1 4 -1 1 0 -1 -1 0 -1 -1 0 1 2] [ 0 -1 0 -1 1 0 -1 -1 -1 0 -1 4 0 0 0 -1 0 1 -1 -1 0 0] [ 0 -1 1 -1 0 0 1 0 -1 1 1 0 4 0 0 -1 1 -1 0 0 1 1] [ 1 -2 1 -2 -2 -2 -2 2 0 1 0 0 0 6 -1 -1 1 0 -1 0 0 1] [ 0 0 -1 -1 0 0 0 -1 1 0 -1 0 0 -1 4 1 0 0 1 1 0 -1] [-2 1 -2 1 1 1 1 -1 -1 0 -1 -1 -1 -1 1 4 -1 0 1 0 0 -1] [ 2 0 -1 -2 0 1 -1 1 1 1 0 0 1 1 0 -1 4 1 1 -1 -1 1] [ 1 1 0 -1 0 1 0 1 1 1 -1 1 -1 0 0 0 1 4 0 0 -2 1] [-1 1 -2 0 0 1 0 1 1 0 -1 -1 0 -1 1 1 1 0 4 0 0 -1] [ 0 0 1 0 -2 0 0 1 0 -1 0 -1 0 0 1 0 -1 0 0 4 1 0] [-1 -1 0 1 0 -1 0 -1 -1 -1 1 0 1 0 0 0 -1 -2 0 1 4 -1] [ 1 0 1 -1 -1 0 0 0 0 1 2 0 1 1 -1 -1 1 1 -1 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1141. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 0 0 1 1 1 2 -1 -1 1 0 -1 1 1 -1 2] [ 1 4 -1 -2 0 1 2 0 -1 2 -1 0 -1 0 -1 0 1 -2 2 2 1 1] [-1 -1 4 0 1 0 0 0 2 0 0 1 -2 -1 1 1 -2 0 0 0 0 0] [-1 -2 0 4 0 -1 0 -1 1 -2 0 1 1 1 0 -1 -1 0 0 -2 0 0] [ 1 0 1 0 4 1 1 1 1 0 0 1 -1 -1 1 1 -2 1 -1 0 0 1] [ 2 1 0 -1 1 4 0 -1 -1 1 0 2 -1 -2 1 0 0 -2 2 1 -1 2] [ 1 2 0 0 1 0 4 1 1 1 -1 0 -1 1 -1 1 0 0 2 1 0 1] [ 0 0 0 -1 1 -1 1 4 0 0 -1 -1 0 0 0 0 1 3 0 0 1 0] [ 0 -1 2 1 1 -1 1 0 4 -1 0 0 -1 0 0 1 -1 0 -1 -1 0 0] [ 1 2 0 -2 0 1 1 0 -1 4 1 0 0 -1 0 0 0 0 1 2 -1 1] [ 1 -1 0 0 0 0 -1 -1 0 1 4 0 2 0 1 1 -1 0 -2 -1 -1 0] [ 1 0 1 1 1 2 0 -1 0 0 0 4 0 -2 0 0 -1 -2 2 0 0 2] [ 2 -1 -2 1 -1 -1 -1 0 -1 0 2 0 6 0 -2 -1 0 1 -1 0 -1 1] [-1 0 -1 1 -1 -2 1 0 0 -1 0 -2 0 4 -1 1 1 1 -1 -1 1 -2] [-1 -1 1 0 1 1 -1 0 0 0 1 0 -2 -1 4 0 -1 0 -1 -1 0 0] [ 1 0 1 -1 1 0 1 0 1 0 1 0 -1 1 0 4 0 0 -1 0 0 0] [ 0 1 -2 -1 -2 0 0 1 -1 0 -1 -1 0 1 -1 0 4 0 1 0 1 0] [-1 -2 0 0 1 -2 0 3 0 0 0 -2 1 1 0 0 0 6 -2 0 0 -1] [ 1 2 0 0 -1 2 2 0 -1 1 -2 2 -1 -1 -1 -1 1 -2 6 1 0 2] [ 1 2 0 -2 0 1 1 0 -1 2 -1 0 0 -1 -1 0 0 0 1 4 0 1] [-1 1 0 0 0 -1 0 1 0 -1 -1 0 -1 1 0 0 1 0 0 0 4 -1] [ 2 1 0 0 1 2 1 0 0 1 0 2 1 -2 0 0 0 -1 2 1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1142. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 1 1 2 -2 1 0 1 0 -2 -1 1 -1 0 1 1 2 1 -2 0 -1] [-2 4 -1 -1 -2 2 -1 1 0 1 2 0 0 0 1 -1 1 -1 0 1 0 0] [ 1 -1 4 2 1 0 0 1 0 1 -1 1 2 0 1 2 -1 0 2 0 0 -2] [ 1 -1 2 4 0 0 0 1 -1 1 -2 -1 1 -1 0 1 0 1 2 -1 1 -2] [ 2 -2 1 0 4 -2 0 -1 0 -1 0 1 0 -1 1 0 -1 0 1 0 -1 -1] [-2 2 0 0 -2 4 -1 0 -1 0 2 0 -1 0 1 0 0 -1 1 1 1 -1] [ 1 -1 0 0 0 -1 4 -1 0 -1 0 0 1 1 -1 0 -1 2 -2 -2 1 -1] [ 0 1 1 1 -1 0 -1 4 0 1 0 0 1 0 0 1 1 0 2 0 -1 1] [ 1 0 0 -1 0 -1 0 0 4 0 -2 -1 0 -1 0 -1 2 1 0 -1 -1 0] [ 0 1 1 1 -1 0 -1 1 0 4 -2 0 1 1 1 1 1 0 1 0 1 -1] [-2 2 -1 -2 0 2 0 0 -2 -2 6 2 -1 0 0 0 -2 -2 -1 2 0 0] [-1 0 1 -1 1 0 0 0 -1 0 2 4 0 1 0 1 -2 -2 -1 1 0 0] [ 1 0 2 1 0 -1 1 1 0 1 -1 0 4 0 1 1 0 0 1 0 0 0] [-1 0 0 -1 -1 0 1 0 -1 1 0 1 0 4 -1 1 -1 0 -2 0 1 1] [ 0 1 1 0 1 1 -1 0 0 1 0 0 1 -1 4 -1 0 -1 3 1 -1 -1] [ 1 -1 2 1 0 0 0 1 -1 1 0 1 1 1 -1 4 0 0 0 0 1 0] [ 1 1 -1 0 -1 0 -1 1 2 1 -2 -2 0 -1 0 0 4 1 1 -1 0 1] [ 2 -1 0 1 0 -1 2 0 1 0 -2 -2 0 0 -1 0 1 4 0 -2 1 -1] [ 1 0 2 2 1 1 -2 2 0 1 -1 -1 1 -2 3 0 1 0 6 0 -1 -1] [-2 1 0 -1 0 1 -2 0 -1 0 2 1 0 0 1 0 -1 -2 0 4 0 1] [ 0 0 0 1 -1 1 1 -1 -1 1 0 0 0 1 -1 1 0 1 -1 0 4 -2] [-1 0 -2 -2 -1 -1 -1 1 0 -1 0 0 0 1 -1 0 1 -1 -1 1 -2 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1143. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 0 0 1 1 -1 -1 0 0 -1 1 1 0 -1 -1 -1 1 1 0] [ 1 4 1 2 0 -1 0 -1 -1 -1 0 0 1 1 1 0 -2 1 0 -1 2 0] [-2 1 4 0 1 0 -1 -2 1 1 1 1 1 -1 -1 -1 0 2 0 -2 -1 0] [ 2 2 0 4 1 -1 1 0 -1 -1 1 1 1 1 1 -1 -1 0 -1 0 2 1] [ 0 0 1 1 4 1 -1 0 -1 1 0 2 0 -1 0 -1 0 0 1 0 -1 -1] [ 0 -1 0 -1 1 4 -1 -1 0 0 0 -1 0 0 0 0 -1 -1 1 1 -2 -2] [ 1 0 -1 1 -1 -1 4 2 0 0 1 -1 1 2 -1 -1 1 -1 0 1 1 1] [ 1 -1 -2 0 0 -1 2 4 0 1 -1 0 0 1 0 -1 1 -2 1 2 1 0] [-1 -1 1 -1 -1 0 0 0 4 0 1 0 1 0 -2 1 2 0 0 0 -2 0] [-1 -1 1 -1 1 0 0 1 0 4 -1 1 0 0 -1 -1 1 -1 0 1 0 -1] [ 0 0 1 1 0 0 1 -1 1 -1 4 -1 1 1 0 0 1 1 0 -1 0 0] [ 0 0 1 1 2 -1 -1 0 0 1 -1 4 0 -2 -1 0 0 0 -1 0 0 0] [-1 1 1 1 0 0 1 0 1 0 1 0 4 1 -1 0 0 -1 0 0 1 0] [ 1 1 -1 1 -1 0 2 1 0 0 1 -2 1 4 0 0 0 -1 0 1 2 0] [ 1 1 -1 1 0 0 -1 0 -2 -1 0 -1 -1 0 4 -1 -2 0 1 0 1 0] [ 0 0 -1 -1 -1 0 -1 -1 1 -1 0 0 0 0 -1 4 1 0 -1 0 0 0] [-1 -2 0 -1 0 -1 1 1 2 1 1 0 0 0 -2 1 4 0 0 0 -1 1] [-1 1 2 0 0 -1 -1 -2 0 -1 1 0 -1 -1 0 0 0 4 0 -2 0 1] [-1 0 0 -1 1 1 0 1 0 0 0 -1 0 0 1 -1 0 0 4 0 -1 -1] [ 1 -1 -2 0 0 1 1 2 0 1 -1 0 0 1 0 0 0 -2 0 4 1 -1] [ 1 2 -1 2 -1 -2 1 1 -2 0 0 0 1 2 1 0 -1 0 -1 1 6 0] [ 0 0 0 1 -1 -2 1 0 0 -1 0 0 0 0 0 0 1 1 -1 -1 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1144. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 0 2 0 -1 -1 1 -1 1 -2 1 2 -2 -1 -1 -1 1 -2 -1] [ 1 4 -2 2 0 1 0 -1 -1 0 0 2 0 -1 2 -1 -1 1 1 -1 -1 1] [-1 -2 4 -2 -1 -1 1 1 1 -1 -1 0 -1 1 -1 0 1 0 0 0 0 1] [ 2 2 -2 4 1 1 -1 -1 -1 0 0 1 -1 0 1 -1 -2 0 -1 0 -2 -1] [ 0 0 -1 1 4 1 1 1 1 0 -1 1 0 -1 -1 0 1 0 -1 0 0 -2] [ 2 1 -1 1 1 4 0 -1 -1 1 -2 0 -2 1 2 -2 0 -1 -1 1 -1 -2] [ 0 0 1 -1 1 0 4 0 0 1 -2 0 1 -1 1 -1 1 1 -1 -1 0 1] [-1 -1 1 -1 1 -1 0 4 0 -2 1 0 -1 -1 -3 2 1 -1 0 1 0 -1] [-1 -1 1 -1 1 -1 0 0 4 -1 0 0 0 0 -1 1 2 0 0 0 1 1] [ 1 0 -1 0 0 1 1 -2 -1 4 -1 0 2 1 1 -2 0 0 0 0 1 -1] [-1 0 -1 0 -1 -2 -2 1 0 -1 4 -1 1 -1 -2 2 -1 0 1 0 1 1] [ 1 2 0 1 1 0 0 0 0 0 -1 6 -1 1 1 -1 1 0 1 0 -1 -1] [-2 0 -1 -1 0 -2 1 -1 0 2 1 -1 6 -1 -1 0 0 1 2 -1 2 1] [ 1 -1 1 0 -1 1 -1 -1 0 1 -1 1 -1 4 1 -1 0 -1 0 1 0 -2] [ 2 2 -1 1 -1 2 1 -3 -1 1 -2 1 -1 1 6 -2 -1 0 -1 -1 -1 1] [-2 -1 0 -1 0 -2 -1 2 1 -2 2 -1 0 -1 -2 4 1 0 0 0 1 1] [-1 -1 1 -2 1 0 1 1 2 0 -1 1 0 0 -1 1 4 -1 0 1 1 0] [-1 1 0 0 0 -1 1 -1 0 0 0 0 1 -1 0 0 -1 4 1 -2 1 2] [-1 1 0 -1 -1 -1 -1 0 0 0 1 1 2 0 -1 0 0 1 4 -1 1 1] [ 1 -1 0 0 0 1 -1 1 0 0 0 0 -1 1 -1 0 1 -2 -1 4 0 -2] [-2 -1 0 -2 0 -1 0 0 1 1 1 -1 2 0 -1 1 1 1 1 0 4 0] [-1 1 1 -1 -2 -2 1 -1 1 -1 1 -1 1 -2 1 1 0 2 1 -2 0 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1145. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 1 -2 -1 1 2 -1 1 0 0 -2 -1 2 1 0 2 0 2] [ 0 4 -1 -2 -2 0 0 1 -1 0 0 -2 0 -1 1 2 0 -1 1 0 1 -1] [ 1 -1 6 -2 1 -2 2 -2 1 -1 1 0 2 1 1 1 -2 -1 -1 -1 0 3] [ 0 -2 -2 6 2 2 -2 2 1 1 -2 2 -2 1 -3 -1 3 1 -2 1 -2 0] [ 0 -2 1 2 4 1 -1 1 0 0 0 0 -1 0 -2 -1 0 1 0 0 -1 2] [ 1 0 -2 2 1 4 -1 1 0 1 0 1 -1 0 -3 0 1 0 1 1 0 1] [-2 0 2 -2 -1 -1 6 -2 -1 -2 1 0 2 1 2 2 -4 -1 0 -2 0 1] [-1 1 -2 2 1 1 -2 6 -1 -1 1 -2 -3 1 0 1 0 0 1 -1 -1 -2] [ 1 -1 1 1 0 0 -1 -1 4 0 0 1 1 0 -1 0 2 1 -1 0 -1 1] [ 2 0 -1 1 0 1 -2 -1 0 4 -1 1 0 0 -1 -1 2 1 -1 2 0 0] [-1 0 1 -2 0 0 1 1 0 -1 4 -1 1 0 2 1 -2 -1 1 -1 0 -1] [ 1 -2 0 2 0 1 0 -2 1 1 -1 4 0 1 -2 -1 2 0 -1 1 -1 1] [ 0 0 2 -2 -1 -1 2 -3 1 0 1 0 4 0 2 1 -1 0 -1 0 0 1] [ 0 -1 1 1 0 0 1 1 0 0 0 1 0 4 0 1 -1 0 -1 -1 -1 1] [-2 1 1 -3 -2 -3 2 0 -1 -1 2 -2 2 0 6 2 -3 -1 0 -1 1 -3] [-1 2 1 -1 -1 0 2 1 0 -1 1 -1 1 1 2 4 -2 -1 0 -1 0 0] [ 2 0 -2 3 0 1 -4 0 2 2 -2 2 -1 -1 -3 -2 6 1 -1 2 -1 0] [ 1 -1 -1 1 1 0 -1 0 1 1 -1 0 0 0 -1 -1 1 4 0 1 -1 1] [ 0 1 -1 -2 0 1 0 1 -1 -1 1 -1 -1 -1 0 0 -1 0 4 -1 1 0] [ 2 0 -1 1 0 1 -2 -1 0 2 -1 1 0 -1 -1 -1 2 1 -1 4 1 0] [ 0 1 0 -2 -1 0 0 -1 -1 0 0 -1 0 -1 1 0 -1 -1 1 1 4 -1] [ 2 -1 3 0 2 1 1 -2 1 0 -1 1 1 1 -3 0 0 1 0 0 -1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1146. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 -1 2 -1 1 -2 1 2 -1 -2 -1 1 0 1 -1 -1 -1 -1 1] [ 0 4 -2 0 1 -2 0 -2 1 0 2 -1 -2 1 2 -1 -2 -2 0 -2 0 1] [ 0 -2 4 0 1 2 1 0 -1 -1 -1 0 1 0 -1 0 2 0 0 0 0 0] [ 0 0 0 6 -2 -1 0 3 0 -3 -1 1 0 2 -1 -2 -3 2 -2 -3 2 -1] [-1 1 1 -2 6 -1 -1 -4 1 0 2 0 -2 0 2 2 1 -3 0 0 0 2] [ 2 -2 2 -1 -1 6 1 2 -3 1 0 1 -1 0 -1 -1 3 1 1 1 -1 0] [-1 0 1 0 -1 1 4 1 -1 0 0 1 2 1 -2 -1 -1 2 0 -1 1 -1] [ 1 -2 0 3 -4 2 1 6 -1 0 -1 1 1 0 -2 -1 0 4 0 0 0 -2] [-2 1 -1 0 1 -3 -1 -1 4 -1 0 0 1 0 1 1 -1 0 0 1 0 -1] [ 1 0 -1 -3 0 1 0 0 -1 4 1 0 -1 -1 0 1 2 -1 1 2 -2 1] [ 2 2 -1 -1 2 0 0 -1 0 1 6 -1 -3 -1 2 1 0 -1 -1 -1 -1 2] [-1 -1 0 1 0 1 1 1 0 0 -1 4 0 2 -1 0 -1 1 0 0 1 -1] [-2 -2 1 0 -2 -1 2 1 1 -1 -3 0 6 -1 -2 0 -1 3 0 1 1 -2] [-1 1 0 2 0 0 1 0 0 -1 -1 2 -1 4 -1 -2 -2 0 0 -2 1 -1] [ 1 2 -1 -1 2 -1 -2 -2 1 0 2 -1 -2 -1 4 1 0 -2 0 0 -1 2] [ 0 -1 0 -2 2 -1 -1 -1 1 1 1 0 0 -2 1 4 1 -1 0 2 0 1] [ 1 -2 2 -3 1 3 -1 0 -1 2 0 -1 -1 -2 0 1 6 -1 1 3 -2 1] [-1 -2 0 2 -3 1 2 4 0 -1 -1 1 3 0 -2 -1 -1 6 0 1 1 -2] [-1 0 0 -2 0 1 0 0 0 1 -1 0 0 0 0 0 1 0 4 1 -1 0] [-1 -2 0 -3 0 1 -1 0 1 2 -1 0 1 -2 0 2 3 1 1 6 -1 0] [-1 0 0 2 0 -1 1 0 0 -2 -1 1 1 1 -1 0 -2 1 -1 -1 4 -1] [ 1 1 0 -1 2 0 -1 -2 -1 1 2 -1 -2 -1 2 1 1 -2 0 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1147. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 1 -1 2 2 0 1 -1 1 -1 -1 0 2 -1 1 1 -1 -1] [-2 4 2 1 1 -1 0 0 -1 0 -1 -1 0 0 1 -1 -1 1 -1 -1 0 1] [-2 2 4 1 0 0 1 0 -1 0 -1 -1 0 1 1 0 -2 1 -1 -1 0 1] [ 0 1 1 4 2 -1 -1 0 0 -1 0 -2 -1 -1 2 0 0 -1 -1 1 -1 0] [ 1 1 0 2 4 0 -2 1 1 -1 -1 -2 0 0 1 -1 0 -1 -1 1 -1 -1] [ 1 -1 0 -1 0 4 -1 0 2 -1 -1 0 2 2 0 -1 -1 0 1 0 -1 1] [-1 0 1 -1 -2 -1 4 0 -2 0 0 1 0 -1 0 2 -1 0 -1 0 2 0] [ 2 0 0 0 1 0 0 4 1 1 1 -1 1 0 -1 -1 1 -1 1 1 -1 -1] [ 2 -1 -1 0 1 2 -2 1 4 -1 0 0 1 1 -1 -1 0 0 1 0 -1 -1] [ 0 0 0 -1 -1 -1 0 1 -1 4 2 0 0 0 -1 -1 1 1 1 -1 -1 1] [ 1 -1 -1 0 -1 -1 0 1 0 2 4 0 -1 -1 0 -1 2 0 0 0 -1 0] [-1 -1 -1 -2 -2 0 1 -1 0 0 0 4 -1 1 -1 1 -1 1 0 -1 2 0] [ 1 0 0 -1 0 2 0 1 1 0 -1 -1 4 1 -1 -1 0 -1 2 1 -1 0] [-1 0 1 -1 0 2 -1 0 1 0 -1 1 1 4 0 -1 -2 1 1 -1 0 0] [-1 1 1 2 1 0 0 -1 -1 -1 0 -1 -1 0 4 0 -1 -1 -2 0 0 1] [ 0 -1 0 0 -1 -1 2 -1 -1 -1 -1 1 -1 -1 0 4 0 0 -1 0 2 0] [ 2 -1 -2 0 0 -1 -1 1 0 1 2 -1 0 -2 -1 0 4 -1 1 1 -1 0] [-1 1 1 -1 -1 0 0 -1 0 1 0 1 -1 1 -1 0 -1 4 0 -2 1 1] [ 1 -1 -1 -1 -1 1 -1 1 1 1 0 0 2 1 -2 -1 1 0 4 0 -1 0] [ 1 -1 -1 1 1 0 0 1 0 -1 0 -1 1 -1 0 0 1 -2 0 4 0 -1] [-1 0 0 -1 -1 -1 2 -1 -1 -1 -1 2 -1 0 0 2 -1 1 -1 0 4 -1] [-1 1 1 0 -1 1 0 -1 -1 1 0 0 0 0 1 0 0 1 0 -1 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1148. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 1 2 -2 0 1 0 1 -1 2 1 0 0 -1 1 0 1 -1 -1] [ 1 4 -2 -1 -1 1 -1 0 2 -1 1 -2 0 -1 0 0 0 -1 -1 2 -2 -2] [-1 -2 4 0 0 -1 2 -1 -2 -1 -2 0 1 1 0 1 1 -1 -1 -2 1 1] [ 2 -1 0 4 2 1 -1 0 0 1 1 1 0 2 1 -1 -1 1 0 0 0 1] [ 1 -1 0 2 4 1 -1 1 -1 2 1 0 1 1 0 -1 -2 0 0 -1 0 0] [ 2 1 -1 1 1 4 0 1 1 -1 0 0 2 -1 -1 0 -2 1 1 1 -1 -2] [-2 -1 2 -1 -1 0 6 -2 0 -2 -2 -1 -1 -1 0 2 -1 1 -1 0 2 2] [ 0 0 -1 0 1 1 -2 4 -1 1 0 0 1 0 0 -1 0 0 2 -1 -1 -1] [ 1 2 -2 0 -1 1 0 -1 4 -1 1 -1 0 -1 -1 0 -1 1 -1 2 -1 0] [ 0 -1 -1 1 2 -1 -2 1 -1 4 1 1 0 1 1 -1 0 0 1 -1 0 0] [ 1 1 -2 1 1 0 -2 0 1 1 4 0 0 0 1 -2 -1 0 0 1 0 -1] [-1 -2 0 1 0 0 -1 0 -1 1 0 6 -2 -1 -1 -2 1 1 2 -1 0 -1] [ 2 0 1 0 1 2 -1 1 0 0 0 -2 6 0 -1 0 -1 0 0 0 -1 -1] [ 1 -1 1 2 1 -1 -1 0 -1 1 0 -1 0 4 1 1 1 0 -1 -1 1 1] [ 0 0 0 1 0 -1 0 0 -1 1 1 -1 -1 1 4 0 0 -1 0 0 1 1] [ 0 0 1 -1 -1 0 2 -1 0 -1 -2 -2 0 1 0 4 1 0 -1 0 1 1] [-1 0 1 -1 -2 -2 -1 0 -1 0 -1 1 -1 1 0 1 4 -1 0 -1 0 0] [ 1 -1 -1 1 0 1 1 0 1 0 0 1 0 0 -1 0 -1 4 1 1 1 1] [ 0 -1 -1 0 0 1 -1 2 -1 1 0 2 0 -1 0 -1 0 1 4 -1 0 -1] [ 1 2 -2 0 -1 1 0 -1 2 -1 1 -1 0 -1 0 0 -1 1 -1 4 0 0] [-1 -2 1 0 0 -1 2 -1 -1 0 0 0 -1 1 1 1 0 1 0 0 4 1] [-1 -2 1 1 0 -2 2 -1 0 0 -1 -1 -1 1 1 1 0 1 -1 0 1 6] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1149. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 1 1 0 1 -2 1 -1 2 1 1 -1 2 -1 -1 1 -2 1] [ 1 4 2 1 0 2 2 -1 0 -2 2 -2 1 -1 1 -2 1 0 -2 0 -1 -1] [ 2 2 4 -1 1 1 2 -1 1 -1 2 -1 2 0 1 -2 2 -1 -2 1 -2 0] [-2 1 -1 4 0 1 0 -1 0 1 0 -1 -1 -1 -1 0 -1 0 0 0 1 -1] [ 1 0 1 0 4 0 1 1 0 1 2 0 1 1 -1 0 0 -2 0 2 -2 -1] [ 1 2 1 1 0 4 1 0 0 -2 0 -2 1 0 1 0 0 1 -1 -1 0 -1] [ 1 2 2 0 1 1 4 -1 -1 -1 1 -1 1 -1 0 -1 0 0 -2 0 0 0] [ 0 -1 -1 -1 1 0 -1 4 -1 1 1 0 1 2 1 2 -1 1 2 -1 0 -1] [ 1 0 1 0 0 0 -1 -1 4 -1 1 -1 1 1 1 -1 2 -1 0 1 -2 1] [-2 -2 -1 1 1 -2 -1 1 -1 6 1 2 -1 1 -1 1 0 -1 1 1 2 -1] [ 1 2 2 0 2 0 1 1 1 1 6 -2 2 2 2 -1 2 -1 0 1 -1 -2] [-1 -2 -1 -1 0 -2 -1 0 -1 2 -2 4 -1 -1 -2 1 -1 -1 0 1 1 0] [ 2 1 2 -1 1 1 1 1 1 -1 2 -1 4 1 1 0 1 -1 -1 0 -1 0] [ 1 -1 0 -1 1 0 -1 2 1 1 2 -1 1 4 1 1 1 0 1 0 0 0] [ 1 1 1 -1 -1 1 0 1 1 -1 2 -2 1 1 4 -1 1 1 1 -1 -1 0] [-1 -2 -2 0 0 0 -1 2 -1 1 -1 1 0 1 -1 4 -1 1 1 -1 2 0] [ 2 1 2 -1 0 0 0 -1 2 0 2 -1 1 1 1 -1 4 -1 -1 1 -1 1] [-1 0 -1 0 -2 1 0 1 -1 -1 -1 -1 -1 0 1 1 -1 4 1 -2 2 0] [-1 -2 -2 0 0 -1 -2 2 0 1 0 0 -1 1 1 1 -1 1 4 -1 0 0] [ 1 0 1 0 2 -1 0 -1 1 1 1 1 0 0 -1 -1 1 -2 -1 4 -1 0] [-2 -1 -2 1 -2 0 0 0 -2 2 -1 1 -1 0 -1 2 -1 2 0 -1 6 -1] [ 1 -1 0 -1 -1 -1 0 -1 1 -1 -2 0 0 0 0 0 1 0 0 0 -1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1150. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 -1 0 0 -1 -1 1 -1 1 0 2 1 1 2 0 -2 0 0] [-2 4 -2 2 0 2 0 0 1 1 0 0 0 0 -2 0 0 0 0 0 1 0] [ 2 -2 4 -2 -1 -1 1 -1 -1 -1 0 0 0 1 1 0 1 1 -1 -1 0 1] [-2 2 -2 4 1 0 -1 1 0 0 -1 0 -1 0 0 1 -1 -1 1 1 1 0] [ 1 0 -1 1 6 -2 0 3 -2 -1 0 -1 2 0 3 1 -2 1 2 -1 0 -1] [-1 2 -1 0 -2 6 -2 -1 1 3 -1 2 0 -2 -2 1 -1 1 0 -1 2 2] [ 0 0 1 -1 0 -2 4 -1 0 -1 0 0 1 2 -1 -2 1 -1 0 1 -1 0] [ 0 0 -1 1 3 -1 -1 4 0 -1 -1 0 0 -1 1 1 -2 0 0 0 0 0] [-1 1 -1 0 -2 1 0 0 4 0 1 1 -1 0 -2 0 1 -1 -1 1 1 1] [-1 1 -1 0 -1 3 -1 -1 0 4 0 0 1 -2 -2 1 -1 0 1 0 1 0] [ 1 0 0 -1 0 -1 0 -1 1 0 4 -1 0 1 1 0 1 1 0 -1 0 -1] [-1 0 0 0 -1 2 0 0 1 0 -1 4 -1 0 -1 0 -1 -1 -1 0 1 2] [ 1 0 0 -1 2 0 1 0 -1 1 0 -1 4 -1 1 0 0 0 2 0 0 0] [ 0 0 1 0 0 -2 2 -1 0 -2 1 0 -1 4 0 -1 1 0 -1 0 0 0] [ 2 -2 1 0 3 -2 -1 1 -2 -2 1 -1 1 0 6 0 -1 1 2 -1 -1 0] [ 1 0 0 1 1 1 -2 1 0 1 0 0 0 -1 0 4 0 1 0 -1 2 1] [ 1 0 1 -1 -2 -1 1 -2 1 -1 1 -1 0 1 -1 0 4 0 -1 0 0 0] [ 2 0 1 -1 1 1 -1 0 -1 0 1 -1 0 0 1 1 0 4 0 -2 1 0] [ 0 0 -1 1 2 0 0 0 -1 1 0 -1 2 -1 2 0 -1 0 4 0 0 0] [-2 0 -1 1 -1 -1 1 0 1 0 -1 0 0 0 -1 -1 0 -2 0 4 0 0] [ 0 1 0 1 0 2 -1 0 1 1 0 1 0 0 -1 2 0 1 0 0 4 1] [ 0 0 1 0 -1 2 0 0 1 0 -1 2 0 0 0 1 0 0 0 0 1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1151. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 -2 1 2 -1 -1 2 -1 -1 2 1 0 0 2 1 1 -1 -1 0] [ 1 4 0 -1 1 0 2 -1 1 1 -1 -2 1 1 -1 0 2 -1 2 0 1 1] [-2 0 4 -2 2 -1 -2 0 1 0 1 0 -2 0 1 -1 -1 0 1 2 0 0] [ 2 -1 -2 4 -2 0 0 0 0 1 0 0 1 1 -1 1 1 0 0 -2 0 0] [-2 1 2 -2 4 0 -1 1 2 -1 0 0 -1 0 0 -1 0 -1 0 2 1 1] [ 1 0 -1 0 0 4 1 1 0 0 -1 1 2 1 -1 -1 1 1 1 1 -1 1] [ 2 2 -2 0 -1 1 6 1 -2 0 -2 0 1 -1 -1 1 0 -1 1 1 1 2] [-1 -1 0 0 1 1 1 4 -1 -2 -1 2 0 -1 -1 1 -2 0 0 2 0 1] [-1 1 1 0 2 0 -2 -1 4 0 0 -1 0 2 -1 -1 2 -1 1 -1 1 0] [ 2 1 0 1 -1 0 0 -2 0 4 0 -1 0 2 1 -1 2 1 0 0 -1 -1] [-1 -1 1 0 0 -1 -2 -1 0 0 4 -1 -1 -1 0 -1 -1 1 0 -1 0 0] [-1 -2 0 0 0 1 0 2 -1 -1 -1 4 -1 0 1 0 -1 0 -2 1 0 0] [ 2 1 -2 1 -1 2 1 0 0 0 -1 -1 4 1 -2 1 2 0 1 -1 0 1] [ 1 1 0 1 0 1 -1 -1 2 2 -1 0 1 4 0 -1 3 0 1 -1 0 -1] [ 0 -1 1 -1 0 -1 -1 -1 -1 1 0 1 -2 0 4 -1 0 1 -2 1 -1 -2] [ 0 0 -1 1 -1 -1 1 1 -1 -1 -1 0 1 -1 -1 4 0 -1 -1 0 1 1] [ 2 2 -1 1 0 1 0 -2 2 2 -1 -1 2 3 0 0 6 -1 1 -2 1 0] [ 1 -1 0 0 -1 1 -1 0 -1 1 1 0 0 0 1 -1 -1 4 0 1 -2 -1] [ 1 2 1 0 0 1 1 0 1 0 0 -2 1 1 -2 -1 1 0 6 -1 0 1] [-1 0 2 -2 2 1 1 2 -1 0 -1 1 -1 -1 1 0 -2 1 -1 6 0 1] [-1 1 0 0 1 -1 1 0 1 -1 0 0 0 0 -1 1 1 -2 0 0 4 1] [ 0 1 0 0 1 1 2 1 0 -1 0 0 1 -1 -2 1 0 -1 1 1 1 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1152. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 1 -2 1 2 2 -1 0 -1 -1 1 0 -1 0 -1 1 2 -1 -1 1] [ 2 4 1 -1 -1 1 1 2 -1 0 0 -1 0 1 0 -1 1 0 1 0 0 0] [ 2 1 4 -1 -2 -1 0 1 -2 0 0 0 0 -1 -1 -1 1 2 0 0 -1 0] [ 1 -1 -1 4 0 0 1 0 0 0 0 -1 0 0 -1 1 -1 -1 1 0 -1 0] [-2 -1 -2 0 4 0 0 -1 0 -1 0 1 -1 1 1 1 0 0 -1 0 1 1] [ 1 1 -1 0 0 4 0 1 0 1 0 -1 1 2 1 -1 -1 0 1 0 0 0] [ 2 1 0 1 0 0 4 1 1 0 -2 -1 1 0 -1 0 0 0 1 -2 -1 1] [ 2 2 1 0 -1 1 1 4 0 1 -1 -2 0 1 1 0 0 0 2 -1 -1 0] [-1 -1 -2 0 0 0 1 0 6 0 0 0 -1 0 1 1 -1 0 1 0 -1 1] [ 0 0 0 0 -1 1 0 1 0 4 -1 -2 1 1 0 -1 1 0 1 -1 0 -1] [-1 0 0 0 0 0 -2 -1 0 -1 4 0 -1 -1 1 0 0 0 -1 2 0 0] [-1 -1 0 -1 1 -1 -1 -2 0 -2 0 4 0 -1 -1 0 0 1 -1 0 0 0] [ 1 0 0 0 -1 1 1 0 -1 1 -1 0 4 -1 0 -1 0 -1 1 -1 0 0] [ 0 1 -1 0 1 2 0 1 0 1 -1 -1 -1 4 0 0 0 0 0 0 1 0] [-1 0 -1 -1 1 1 -1 1 1 0 1 -1 0 0 4 0 -1 -1 1 1 0 1] [ 0 -1 -1 1 1 -1 0 0 1 -1 0 0 -1 0 0 4 -1 0 0 0 1 2] [-1 1 1 -1 0 -1 0 0 -1 1 0 0 0 0 -1 -1 4 0 -1 0 0 -1] [ 1 0 2 -1 0 0 0 0 0 0 0 1 -1 0 -1 0 0 4 0 0 0 1] [ 2 1 0 1 -1 1 1 2 1 1 -1 -1 1 0 1 0 -1 0 4 -1 -1 1] [-1 0 0 0 0 0 -2 -1 0 -1 2 0 -1 0 1 0 0 0 -1 4 1 0] [-1 0 -1 -1 1 0 -1 -1 -1 0 0 0 0 1 0 1 0 0 -1 1 4 0] [ 1 0 0 0 1 0 1 0 1 -1 0 0 0 0 1 2 -1 1 1 0 0 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = true LatDB = - 1153. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 0 1 2 1 -1 -2 0 1 1 1 -1 1 1 -1 0 0 0 0] [ 2 4 0 0 1 2 1 0 -1 -1 0 0 1 0 -1 0 1 -1 0 0 0 -1] [-2 0 4 -1 1 1 -2 -1 0 0 0 -1 -1 -2 0 -1 -1 1 0 1 -1 0] [ 0 0 -1 4 1 1 -1 -1 -1 2 0 1 -1 -1 1 1 -1 0 1 -2 -1 1] [ 0 1 1 1 4 0 -2 0 0 0 1 -1 -1 -1 1 0 0 0 -1 -1 0 -1] [ 1 2 1 1 0 6 -1 -1 -3 -1 -2 0 1 -2 -2 2 -2 -1 0 1 -2 1] [ 2 1 -2 -1 -2 -1 6 2 1 0 1 1 2 2 -1 -1 0 0 -1 1 1 1] [ 1 0 -1 -1 0 -1 2 4 2 -1 1 0 0 2 1 -1 0 1 -1 1 1 0] [-1 -1 0 -1 0 -3 1 2 4 1 1 0 -1 1 1 -2 0 2 0 0 2 -1] [-2 -1 0 2 0 -1 0 -1 1 4 0 0 -1 -1 1 -1 -1 1 1 -1 0 1] [ 0 0 0 0 1 -2 1 1 1 0 4 -1 0 1 1 0 1 1 0 -1 0 0] [ 1 0 -1 1 -1 0 1 0 0 0 -1 4 0 0 -1 -1 0 1 0 -1 0 1] [ 1 1 -1 -1 -1 1 2 0 -1 -1 0 0 4 0 -1 0 1 -2 0 1 1 0] [ 1 0 -2 -1 -1 -2 2 2 1 -1 1 0 0 4 0 0 1 0 -1 0 1 0] [-1 -1 0 1 1 -2 -1 1 1 1 1 -1 -1 0 4 0 0 0 1 0 1 -1] [ 1 0 -1 1 0 2 -1 -1 -2 -1 0 -1 0 0 0 4 -1 -1 0 0 -1 0] [ 1 1 -1 -1 0 -2 0 0 0 -1 1 0 1 1 0 -1 4 -1 1 -1 1 -1] [-1 -1 1 0 0 -1 0 1 2 1 1 1 -2 0 0 -1 -1 4 0 0 0 1] [ 0 0 0 1 -1 0 -1 -1 0 1 0 0 0 -1 1 0 1 0 4 -1 0 0] [ 0 0 1 -2 -1 1 1 1 0 -1 -1 -1 1 0 0 0 -1 0 -1 4 1 0] [ 0 0 -1 -1 0 -2 1 1 2 0 0 0 1 1 1 -1 1 0 0 1 4 -2] [ 0 -1 0 1 -1 1 1 0 -1 1 0 1 0 0 -1 0 -1 1 0 0 -2 4] |Aut| = [ <2, 2>, <3, 1> ] Modular = false LatDB = - 1154. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 -1 -1 2 -1 2 -1 -1 -1 -2 0 -2 0 1 0 -1 -1 0] [-2 4 -2 2 1 1 -1 -1 1 0 2 0 2 0 0 2 0 0 0 0 2 0] [ 2 -2 4 -2 -1 -1 -1 2 -2 1 -2 1 -2 -1 -1 -1 -1 0 1 0 -2 1] [-2 2 -2 4 1 2 -1 -1 1 -1 1 1 0 0 0 2 0 -1 -1 0 1 1] [ 0 1 -1 1 4 2 -2 -1 2 1 2 1 2 0 -1 2 1 -1 1 1 2 -1] [-1 1 -1 2 2 4 -2 -2 2 1 2 2 0 0 0 1 0 -2 1 0 2 -1] [-1 -1 -1 -1 -2 -2 8 2 2 -4 0 -2 2 0 -1 1 -1 0 0 2 -3 2] [ 2 -1 2 -1 -1 -2 2 6 -1 -2 -2 -1 -1 -2 -1 -1 -2 1 -1 0 -2 1] [-1 1 -2 1 2 2 2 -1 6 -2 2 0 3 1 0 3 1 -2 2 2 1 -1] [ 2 0 1 -1 1 1 -4 -2 -2 6 1 1 0 -1 1 -2 0 1 1 -1 2 0] [-1 2 -2 1 2 2 0 -2 2 1 4 0 3 0 0 1 1 -1 1 1 2 -1] [-1 0 1 1 1 2 -2 -1 0 1 0 4 -1 1 -1 1 0 -2 1 1 0 1] [-1 2 -2 0 2 0 2 -1 3 0 3 -1 6 0 0 2 1 0 1 2 2 0] [-2 0 -1 0 0 0 0 -2 1 -1 0 1 0 4 0 0 1 -1 1 1 0 -1] [ 0 0 -1 0 -1 0 -1 -1 0 1 0 -1 0 0 4 -1 1 1 -1 -1 2 -1] [-2 2 -1 2 2 1 1 -1 3 -2 1 1 2 0 -1 6 1 -2 1 2 0 2] [ 0 0 -1 0 1 0 -1 -2 1 0 1 0 1 1 1 1 4 0 0 0 1 -1] [ 1 0 0 -1 -1 -2 0 1 -2 1 -1 -2 0 -1 1 -2 0 4 -1 -1 1 0] [ 0 0 1 -1 1 1 0 -1 2 1 1 1 1 1 -1 1 0 -1 4 1 0 0] [-1 0 0 0 1 0 2 0 2 -1 1 1 2 1 -1 2 0 -1 1 4 0 1] [-1 2 -2 1 2 2 -3 -2 1 2 2 0 2 0 2 0 1 1 0 0 6 -3] [ 0 0 1 1 -1 -1 2 1 -1 0 -1 1 0 -1 -1 2 -1 0 0 1 -3 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1155. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 0 1 1 0 -2 1 2 0 1 0 0 1 1 -1 0] [ 1 4 -1 -2 -1 0 1 -1 0 0 1 -2 0 1 -1 0 1 -1 0 0 1 -1] [-1 -1 4 0 0 1 0 2 1 -2 1 2 1 0 -1 -2 -2 2 1 1 0 -1] [-1 -2 0 4 0 0 -1 -1 0 0 -2 0 0 -1 1 1 -1 -1 -1 0 -1 1] [ 1 -1 0 0 4 0 1 -1 0 1 0 1 1 1 1 1 1 2 1 0 -2 0] [ 1 0 1 0 0 4 1 2 2 -2 -1 0 0 0 -1 1 -2 2 1 2 0 -1] [ 2 1 0 -1 1 1 4 1 0 0 -1 -2 1 2 1 1 0 1 2 0 -1 -1] [ 0 -1 2 -1 -1 2 1 6 0 -2 -1 1 0 0 -1 0 -1 3 2 0 0 0] [ 1 0 1 0 0 2 0 0 4 -2 1 0 1 1 0 -1 -2 0 0 2 0 0] [ 1 0 -2 0 1 -2 0 -2 -2 4 0 -1 0 0 0 1 2 -1 -1 -1 -1 0] [ 0 1 1 -2 0 -1 -1 -1 1 0 4 1 1 0 -1 -2 0 0 0 0 1 -1] [-2 -2 2 0 1 0 -2 1 0 -1 1 6 1 -2 0 -1 -1 3 1 1 0 -1] [ 1 0 1 0 1 0 1 0 1 0 1 1 4 0 1 -1 0 0 2 1 0 -1] [ 2 1 0 -1 1 0 2 0 1 0 0 -2 0 4 0 0 0 0 0 0 -1 1] [ 0 -1 -1 1 1 -1 1 -1 0 0 -1 0 1 0 4 1 0 -1 1 0 0 0] [ 1 0 -2 1 1 1 1 0 -1 1 -2 -1 -1 0 1 4 0 1 0 0 -1 0] [ 0 1 -2 -1 1 -2 0 -1 -2 2 0 -1 0 0 0 0 4 -1 0 -2 0 1] [ 0 -1 2 -1 2 2 1 3 0 -1 0 3 0 0 -1 1 -1 6 2 1 -1 -1] [ 1 0 1 -1 1 1 2 2 0 -1 0 1 2 0 1 0 0 2 4 0 0 -1] [ 1 0 1 0 0 2 0 0 2 -1 0 1 1 0 0 0 -2 1 0 4 1 -1] [-1 1 0 -1 -2 0 -1 0 0 -1 1 0 0 -1 0 -1 0 -1 0 1 4 -1] [ 0 -1 -1 1 0 -1 -1 0 0 0 -1 -1 -1 1 0 0 1 -1 -1 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1156. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 -2 0 -1 1 0 -1 -1 -1 0 1 -2 0 0 -1 -1 -1 0 -2 -2] [ 1 4 -1 1 1 0 2 1 1 1 0 1 -1 1 0 -1 -2 1 -1 1 -2 -2] [ 0 -1 4 -2 -2 1 -2 -2 0 0 0 1 -1 -2 1 -1 -1 -2 1 -2 2 2] [-2 1 -2 6 0 2 2 0 2 1 -1 -1 -1 3 -1 1 2 3 -2 0 0 -1] [ 0 1 -2 0 4 0 0 2 0 1 1 0 1 2 0 0 -1 0 0 2 0 -2] [-1 0 1 2 0 4 0 0 2 0 0 1 -1 1 1 0 0 0 -1 -1 1 1] [ 1 2 -2 2 0 0 4 0 1 0 -1 0 0 0 0 1 1 2 -2 1 -3 -2] [ 0 1 -2 0 2 0 0 4 0 0 0 1 1 2 -1 0 0 0 0 2 0 0] [-1 1 0 2 0 2 1 0 4 0 0 0 -1 2 0 -1 -1 1 0 0 -1 -1] [-1 1 0 1 1 0 0 0 0 4 1 1 -1 0 1 1 1 1 -1 1 1 0] [-1 0 0 -1 1 0 -1 0 0 1 4 1 -1 0 0 -1 0 -1 1 0 0 1] [ 0 1 1 -1 0 1 0 1 0 1 1 4 0 0 0 -1 0 -1 0 0 1 1] [ 1 -1 -1 -1 1 -1 0 1 -1 -1 -1 0 4 1 -1 0 1 0 1 0 0 -1] [-2 1 -2 3 2 1 0 2 2 0 0 0 1 6 -2 -1 0 1 1 1 1 -1] [ 0 0 1 -1 0 1 0 -1 0 1 0 0 -1 -2 4 1 -1 0 -1 0 0 1] [ 0 -1 -1 1 0 0 1 0 -1 1 -1 -1 0 -1 1 4 3 1 -2 1 0 1] [-1 -2 -1 2 -1 0 1 0 -1 1 0 0 1 0 -1 3 6 1 -1 0 1 2] [-1 1 -2 3 0 0 2 0 1 1 -1 -1 0 1 0 1 1 4 -1 1 -1 -1] [-1 -1 1 -2 0 -1 -2 0 0 -1 1 0 1 1 -1 -2 -1 -1 4 -1 1 1] [ 0 1 -2 0 2 -1 1 2 0 1 0 0 0 1 0 1 0 1 -1 4 0 -1] [-2 -2 2 0 0 1 -3 0 -1 1 0 1 0 1 0 0 1 -1 1 0 6 2] [-2 -2 2 -1 -2 1 -2 0 -1 0 1 1 -1 -1 1 1 2 -1 1 -1 2 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1157. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 0 0 -1 0 -2 2 -2 -2 -1 1 0 -2 -1 -2 -2 1 1 1 1] [ 2 4 1 0 1 -2 1 -1 2 -1 0 0 1 0 0 0 0 0 0 2 1 2] [ 0 1 4 1 -1 -1 2 0 1 1 0 -1 1 1 2 1 1 0 -1 1 0 -1] [ 0 0 1 4 -1 0 1 0 0 1 0 -2 2 0 -1 0 1 0 0 0 0 1] [ 0 1 -1 -1 4 -1 0 0 1 -1 0 0 0 1 1 1 -1 0 -1 1 0 0] [-1 -2 -1 0 -1 4 0 1 -2 1 1 0 -1 -1 0 1 0 1 -1 -2 -1 -1] [ 0 1 2 1 0 0 4 1 0 0 0 -2 0 1 1 2 0 0 -1 0 1 1] [-2 -1 0 0 0 1 1 4 0 0 2 1 -1 1 1 1 1 2 -2 0 0 -1] [ 2 2 1 0 1 -2 0 0 4 -1 -1 0 1 1 0 0 0 0 0 2 1 0] [-2 -1 1 1 -1 1 0 0 -1 4 0 0 1 0 2 0 2 1 0 -1 -1 0] [-2 0 0 0 0 1 0 2 -1 0 4 1 -1 -1 1 1 1 2 -2 0 0 0] [-1 0 -1 -2 0 0 -2 1 0 0 1 4 -1 0 0 -1 1 1 0 1 -1 -1] [ 1 1 1 2 0 -1 0 -1 1 1 -1 -1 4 1 -1 -1 1 0 1 0 -1 0] [ 0 0 1 0 1 -1 1 1 1 0 -1 0 1 4 0 0 0 -1 0 1 -1 -2] [-2 0 2 -1 1 0 1 1 0 2 1 0 -1 0 6 1 0 1 -2 0 1 0] [-1 0 1 0 1 1 2 1 0 0 1 -1 -1 0 1 4 1 1 -2 0 0 0] [-2 0 1 1 -1 0 0 1 0 2 1 1 1 0 0 1 4 2 0 0 -1 0] [-2 0 0 0 0 1 0 2 0 1 2 1 0 -1 1 1 2 4 -1 0 0 0] [ 1 0 -1 0 -1 -1 -1 -2 0 0 -2 0 1 0 -2 -2 0 -1 4 -1 0 1] [ 1 2 1 0 1 -2 0 0 2 -1 0 1 0 1 0 0 0 0 -1 4 1 0] [ 1 1 0 0 0 -1 1 0 1 -1 0 -1 -1 -1 1 0 -1 0 0 1 4 2] [ 1 2 -1 1 0 -1 1 -1 0 0 0 -1 0 -2 0 0 0 0 1 0 2 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1158. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 0 1 -2 1 -1 -2 1 1 0 -1 1 0 2 2 1 -2 0 0] [-2 4 -2 -1 1 -1 2 1 1 2 -1 0 1 -1 -1 0 -1 -2 -2 0 -1 1] [ 2 -2 4 1 -1 0 -2 -1 -1 -1 2 0 -1 1 1 -1 1 2 1 0 0 1] [ 0 -1 1 4 -1 1 -1 -2 -2 0 0 0 -1 -1 -1 -1 0 1 2 -1 1 0] [ 0 1 -1 -1 4 -1 1 2 2 0 1 -1 0 1 1 -1 0 -1 1 0 -1 1] [ 1 -1 0 1 -1 4 0 0 0 -1 0 2 1 0 0 -1 -1 0 -1 0 1 -1] [-2 2 -2 -1 1 0 4 0 1 1 0 -1 1 1 -1 0 -2 -2 -2 1 -1 0] [ 1 1 -1 -2 2 0 0 4 2 -1 0 1 0 0 1 0 1 -1 0 -1 -1 1] [-1 1 -1 -2 2 0 1 2 4 0 1 0 0 2 1 0 -1 -2 -1 2 -1 0] [-2 2 -1 0 0 -1 1 -1 0 4 -1 -1 0 0 0 0 0 0 0 0 1 0] [ 1 -1 2 0 1 0 0 0 1 -1 4 0 0 1 1 -1 0 1 0 0 0 1] [ 1 0 0 0 -1 2 -1 1 0 -1 0 4 0 -2 0 -1 0 0 -2 0 0 0] [ 0 1 -1 -1 0 1 1 0 0 0 0 0 4 0 0 0 0 0 -2 0 1 0] [-1 -1 1 -1 1 0 1 0 2 0 1 -2 0 6 2 -1 -1 -1 0 2 0 1] [ 1 -1 1 -1 1 0 -1 1 1 0 1 0 0 2 4 0 1 1 1 1 1 0] [ 0 0 -1 -1 -1 -1 0 0 0 0 -1 -1 0 -1 0 4 1 0 0 0 0 -1] [ 2 -1 1 0 0 -1 -2 1 -1 0 0 0 0 -1 1 1 4 2 2 -2 1 1] [ 2 -2 2 1 -1 0 -2 -1 -2 0 1 0 0 -1 1 0 2 4 2 -1 2 0] [ 1 -2 1 2 1 -1 -2 0 -1 0 0 -2 -2 0 1 0 2 2 6 -2 1 0] [-2 0 0 -1 0 0 1 -1 2 0 0 0 0 2 1 0 -2 -1 -2 6 0 -1] [ 0 -1 0 1 -1 1 -1 -1 -1 1 0 0 1 0 1 0 1 2 1 0 4 -1] [ 0 1 1 0 1 -1 0 1 0 0 1 0 0 1 0 -1 1 0 0 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1159. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 -2 0 1 -1 0 1 1 -1 0 1 0 -2 -2 2 1 0 -1 0] [-2 4 0 1 0 0 -1 2 0 0 -2 1 1 -1 1 1 1 -2 -1 0 1 1] [-2 0 4 2 2 1 -1 0 1 -1 1 1 -1 1 1 1 1 -1 0 1 1 -1] [-2 1 2 4 0 1 0 1 0 0 0 1 0 1 0 2 0 -2 -1 1 2 1] [-2 0 2 0 4 -1 -1 0 0 -1 1 0 0 0 0 0 2 -1 0 -1 -1 -1] [ 0 0 1 1 -1 4 -1 1 0 1 0 2 0 1 1 1 0 0 -1 0 0 1] [ 1 -1 -1 0 -1 -1 4 0 -1 -1 -1 -1 0 1 0 -1 -2 1 0 0 -1 1] [-1 2 0 1 0 1 0 4 -1 0 -1 2 1 1 1 0 1 -2 -2 -1 1 2] [ 0 0 1 0 0 0 -1 -1 4 1 -1 0 -2 0 -1 1 -1 0 2 1 2 -1] [ 1 0 -1 0 -1 1 -1 0 1 4 1 1 1 0 -1 0 -1 0 1 -1 1 0] [ 1 -2 1 0 1 0 -1 -1 -1 1 6 -1 1 1 0 -1 1 1 1 -1 0 -1] [-1 1 1 1 0 2 -1 2 0 1 -1 4 1 0 0 0 1 -1 -1 -1 0 0] [ 0 1 -1 0 0 0 0 1 -2 1 1 1 4 -1 1 -1 1 -1 0 -1 -1 1] [ 1 -1 1 1 0 1 1 1 0 0 1 0 -1 4 0 0 -1 0 -1 0 1 1] [ 0 1 1 0 0 1 0 1 -1 -1 0 0 1 0 4 -1 0 -1 0 1 -1 1] [-2 1 1 2 0 1 -1 0 1 0 -1 0 -1 0 -1 4 1 -1 -1 1 2 1] [-2 1 1 0 2 0 -2 1 -1 -1 1 1 1 -1 0 1 4 -1 -1 -1 0 0] [ 2 -2 -1 -2 -1 0 1 -2 0 0 1 -1 -1 0 -1 -1 -1 4 1 0 -1 -1] [ 1 -1 0 -1 0 -1 0 -2 2 1 1 -1 0 -1 0 -1 -1 1 4 0 0 -1] [ 0 0 1 1 -1 0 0 -1 1 -1 -1 -1 -1 0 1 1 -1 0 0 4 2 0] [-1 1 1 2 -1 0 -1 1 2 1 0 0 -1 1 -1 2 0 -1 0 2 6 0] [ 0 1 -1 1 -1 1 1 2 -1 0 -1 0 1 1 1 1 0 -1 -1 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1160. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 -1 1 2 -1 1 -2 -1 -1 0 -1 0 1 2 -1 -1 -2 1 -2] [ 1 4 2 2 -2 1 0 1 1 -1 0 1 1 1 1 0 0 1 -1 0 0 0] [ 1 2 4 0 0 0 1 0 2 0 -1 0 0 1 1 1 1 0 -2 1 0 0] [ 1 2 0 4 -2 0 -1 0 1 -2 0 1 0 0 -1 -1 0 1 0 -2 0 0] [-1 -2 0 -2 4 0 0 -1 0 2 -1 -1 -1 1 0 0 0 -1 -1 0 -1 1] [ 1 1 0 0 0 4 1 0 0 0 1 0 1 -1 1 -1 1 0 1 -1 0 -1] [ 2 0 1 -1 0 1 4 -1 0 -1 -1 0 1 0 0 0 2 0 0 -1 0 -2] [-1 1 0 0 -1 0 -1 4 1 0 1 2 0 0 0 1 0 2 -1 0 0 1] [ 1 1 2 1 0 0 0 1 4 -1 0 1 0 0 -1 0 1 0 -1 -1 1 1] [-2 -1 0 -2 2 0 -1 0 -1 4 1 -1 0 1 1 0 -1 -1 -1 1 -1 1] [-1 0 -1 0 -1 1 -1 1 0 1 4 0 0 0 0 -1 -1 0 2 0 1 0] [-1 1 0 1 -1 0 0 2 1 -1 0 4 0 0 0 -1 0 2 1 0 0 1] [ 0 1 0 0 -1 1 1 0 0 0 0 0 4 -1 -1 0 0 0 1 -1 -1 0] [-1 1 1 0 1 -1 0 0 0 1 0 0 -1 4 0 -1 -1 0 -1 1 0 1] [ 0 1 1 -1 0 1 0 0 -1 1 0 0 -1 0 4 1 0 0 -1 2 0 0] [ 1 0 1 -1 0 -1 0 1 0 0 -1 -1 0 -1 1 4 1 0 -2 0 0 0] [ 2 0 1 0 0 1 2 0 1 -1 -1 0 0 -1 0 1 4 1 -1 -2 1 -2] [-1 1 0 1 -1 0 0 2 0 -1 0 2 0 0 0 0 1 4 0 0 0 0] [-1 -1 -2 0 -1 1 0 -1 -1 -1 2 1 1 -1 -1 -2 -1 0 6 0 1 0] [-2 0 1 -2 0 -1 -1 0 -1 1 0 0 -1 1 2 0 -2 0 0 6 1 1] [ 1 0 0 0 -1 0 0 0 1 -1 1 0 -1 0 0 0 1 0 1 1 4 -1] [-2 0 0 0 1 -1 -2 1 1 1 0 1 0 1 0 0 -2 0 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1161. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 2 1 1 2 -1 -1 -2 -1 1 0 2 2 0 -1 -1 -1 -2] [-2 4 2 -1 1 -1 -1 -1 -2 2 1 1 1 0 0 -2 -2 -1 2 0 1 1] [-2 2 4 0 2 -1 -1 -1 -2 1 0 1 1 1 1 -1 -1 -1 2 0 1 1] [ 1 -1 0 4 0 -1 0 1 2 -1 1 1 0 1 -1 0 2 0 0 -1 0 -2] [-1 1 2 0 4 1 1 -2 -1 2 0 -1 2 -1 -1 -2 -2 1 1 0 -1 2] [ 2 -1 -1 -1 1 6 1 -2 1 0 -2 -4 1 0 0 2 -1 1 -2 1 -2 0] [ 1 -1 -1 0 1 1 4 -1 0 1 -1 -2 1 0 -1 -1 1 2 0 1 -2 -1] [ 1 -1 -1 1 -2 -2 -1 4 1 -2 0 2 -1 0 1 0 1 -1 0 -1 0 -2] [ 2 -2 -2 2 -1 1 0 1 4 -2 0 0 -1 0 0 2 2 0 -1 -1 0 -2] [-1 2 1 -1 2 0 1 -2 -2 4 1 -1 1 -1 -1 -2 -1 0 1 1 0 2] [-1 1 0 1 0 -2 -1 0 0 1 4 1 -1 -1 -1 -1 1 0 0 0 1 0] [-2 1 1 1 -1 -4 -2 2 0 -1 1 6 0 0 1 0 1 -1 2 0 2 -1] [-1 1 1 0 2 1 1 -1 -1 1 -1 0 4 -1 0 -2 -2 0 0 1 -1 1] [ 1 0 1 1 -1 0 0 0 0 -1 -1 0 -1 4 1 2 2 0 1 -1 1 -2] [ 0 0 1 -1 -1 0 -1 1 0 -1 -1 1 0 1 4 1 1 -2 0 0 1 -1] [ 2 -2 -1 0 -2 2 -1 0 2 -2 -1 0 -2 2 1 6 3 0 -1 0 1 -1] [ 2 -2 -1 2 -2 -1 1 1 2 -1 1 1 -2 2 1 3 6 0 0 0 1 -3] [ 0 -1 -1 0 1 1 2 -1 0 0 0 -1 0 0 -2 0 0 4 0 1 -1 0] [-1 2 2 0 1 -2 0 0 -1 1 0 2 0 1 0 -1 0 0 4 -1 1 0] [-1 0 0 -1 0 1 1 -1 -1 1 0 0 1 -1 0 0 0 1 -1 4 0 0] [-1 1 1 0 -1 -2 -2 0 0 0 1 2 -1 1 1 1 1 -1 1 0 4 0] [-2 1 1 -2 2 0 -1 -2 -2 2 0 -1 1 -2 -1 -1 -3 0 0 0 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1162. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 -2 0 -1 0 1 0 0 -1 1 -1 -2 -1 2 -1 2 0 1 0] [ 0 4 -1 -1 1 1 1 0 1 1 0 1 1 2 -1 -1 0 1 -1 1 1 2] [ 1 -1 4 0 0 -2 1 0 -1 -1 1 -1 1 0 1 1 -1 1 2 -1 0 0] [ 2 -1 0 4 -2 0 0 1 0 1 0 0 0 -1 0 -1 1 -1 2 0 0 0] [-2 1 0 -2 4 1 2 -1 0 -1 0 1 -1 1 2 0 -2 0 -1 1 1 1] [ 0 1 -2 0 1 4 -1 -1 0 1 -1 0 -1 1 -1 0 1 -1 -1 2 1 1] [-1 1 1 0 2 -1 6 -1 -1 0 -1 2 1 1 2 -1 -1 2 0 -1 0 2] [ 0 0 0 1 -1 -1 -1 4 -1 -1 0 1 1 0 -1 -1 -1 1 1 -1 0 0] [ 1 1 -1 0 0 0 -1 -1 4 1 0 -1 -1 -1 -1 0 0 -1 0 1 0 0] [ 0 1 -1 1 -1 1 0 -1 1 4 -1 -1 0 0 -1 0 1 0 -1 1 -1 1] [ 0 0 1 0 0 -1 -1 0 0 -1 4 -1 0 1 1 1 -1 -1 1 1 0 0] [-1 1 -1 0 1 0 2 1 -1 -1 -1 4 1 0 1 -1 0 1 0 -1 0 0] [ 1 1 1 0 -1 -1 1 1 -1 0 0 1 4 0 -2 0 1 1 1 -1 -1 1] [-1 2 0 -1 1 1 1 0 -1 0 1 0 0 4 0 0 -1 1 -1 1 1 2] [-2 -1 1 0 2 -1 2 -1 -1 -1 1 1 -2 0 6 1 -2 0 0 -1 1 -1] [-1 -1 1 -1 0 0 -1 -1 0 0 1 -1 0 0 1 4 0 0 0 0 -1 0] [ 2 0 -1 1 -2 1 -1 -1 0 1 -1 0 1 -1 -2 0 4 -1 0 0 0 0] [-1 1 1 -1 0 -1 2 1 -1 0 -1 1 1 1 0 0 -1 4 0 -1 0 1] [ 2 -1 2 2 -1 -1 0 1 0 -1 1 0 1 -1 0 0 0 0 4 -1 0 0] [ 0 1 -1 0 1 2 -1 -1 1 1 1 -1 -1 1 -1 0 0 -1 -1 4 1 1] [ 1 1 0 0 1 1 0 0 0 -1 0 0 -1 1 1 -1 0 0 0 1 4 0] [ 0 2 0 0 1 1 2 0 0 1 0 0 1 2 -1 0 0 1 0 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1163. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 1 2 2 0 1 -1 2 0 2 -1 1 -1 0 0 1 -1 0] [ 1 4 -2 -1 1 0 1 -1 1 0 -2 2 1 1 -2 -1 0 0 -1 0 1 0] [-1 -2 4 2 -2 0 -1 1 1 0 1 0 0 -1 2 0 1 1 0 0 -1 0] [-2 -1 2 6 0 -1 0 -1 2 -1 1 0 -1 0 -1 -2 -1 1 2 -1 0 -1] [ 1 1 -2 0 6 -2 2 -1 -2 -2 -1 -1 -1 2 -3 1 -3 -2 0 -2 -1 1] [ 1 0 0 -1 -2 4 1 2 2 2 -1 2 0 0 2 1 0 0 0 2 0 -1] [ 2 1 -1 0 2 1 4 1 1 0 -2 2 -1 2 -2 1 -2 0 0 0 -1 -1] [ 2 -1 1 -1 -1 2 1 4 0 2 0 2 -1 1 1 1 0 1 0 1 -1 -1] [ 0 1 1 2 -2 2 1 0 6 0 -2 2 1 0 0 0 1 2 1 0 0 0] [ 1 0 0 -1 -2 2 0 2 0 4 1 2 0 1 2 -1 0 0 0 2 0 -2] [-1 -2 1 1 -1 -1 -2 0 -2 1 4 -2 -1 -1 1 -1 0 0 0 0 0 -1] [ 2 2 0 0 -1 2 2 2 2 2 -2 6 1 2 -1 -1 0 1 1 2 -1 -1] [ 0 1 0 -1 -1 0 -1 -1 1 0 -1 1 4 -1 1 -1 2 -1 1 1 1 1] [ 2 1 -1 0 2 0 2 1 0 1 -1 2 -1 4 -2 0 -2 0 0 0 -1 0] [-1 -2 2 -1 -3 2 -2 1 0 2 1 -1 1 -2 6 1 1 -1 0 2 1 -1] [ 1 -1 0 -2 1 1 1 1 0 -1 -1 -1 -1 0 1 4 -1 0 -1 0 -1 1] [-1 0 1 -1 -3 0 -2 0 1 0 0 0 2 -2 1 -1 4 1 0 0 1 1] [ 0 0 1 1 -2 0 0 1 2 0 0 1 -1 0 -1 0 1 4 0 0 0 0] [ 0 -1 0 2 0 0 0 0 1 0 0 1 1 0 0 -1 0 0 4 0 0 0] [ 1 0 0 -1 -2 2 0 1 0 2 0 2 1 0 2 0 0 0 0 4 1 -1] [-1 1 -1 0 -1 0 -1 -1 0 0 0 -1 1 -1 1 -1 1 0 0 1 4 -1] [ 0 0 0 -1 1 -1 -1 -1 0 -2 -1 -1 1 0 -1 1 1 0 0 -1 -1 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1164. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 -2 1 0 -1 1 0 0 -1 0 -1 -2 -2 1 2 2 1 -1 1 0] [ 2 4 -2 -1 -1 -1 1 0 -1 -1 0 1 -1 0 -2 1 0 2 0 -2 2 1] [-2 -2 4 1 1 -1 1 -1 0 0 1 -1 0 1 2 0 0 -2 0 0 -2 0] [-2 -1 1 6 -3 1 1 -2 1 1 1 1 -1 2 -1 -1 1 -1 -1 3 2 0] [ 1 -1 1 -3 6 1 -2 1 1 1 -2 -2 2 -1 2 2 1 -1 2 0 -1 0] [ 0 -1 -1 1 1 4 -2 1 2 2 -2 -1 0 0 0 1 0 0 0 2 2 -1] [-1 1 1 1 -2 -2 4 -1 -2 -2 2 0 -1 1 -1 0 -1 -1 0 -2 0 0] [ 1 0 -1 -2 1 1 -1 4 1 -1 -1 -1 0 -2 1 1 0 1 -1 -1 -1 0] [ 0 -1 0 1 1 2 -2 1 4 2 -2 -1 1 0 0 1 0 1 0 2 0 -1] [ 0 -1 0 1 1 2 -2 -1 2 4 -1 -1 1 1 0 0 1 0 0 2 1 -1] [-1 0 1 1 -2 -2 2 -1 -2 -1 4 0 -1 0 0 -1 1 -1 -1 0 0 0] [ 0 1 -1 1 -2 -1 0 -1 -1 -1 0 4 -1 1 0 -1 -1 1 -1 0 1 2] [-1 -1 0 -1 2 0 -1 0 1 1 -1 -1 4 0 1 0 0 -1 1 1 -1 0] [-2 0 1 2 -1 0 1 -2 0 1 0 1 0 4 1 0 -2 -1 -1 0 1 1] [-2 -2 2 -1 2 0 -1 1 0 0 0 0 1 1 6 1 -2 -2 -2 -1 -2 2] [ 1 1 0 -1 2 1 0 1 1 0 -1 -1 0 0 1 4 0 0 0 -1 1 1] [ 2 0 0 1 1 0 -1 0 0 1 1 -1 0 -2 -2 0 6 0 1 2 1 0] [ 2 2 -2 -1 -1 0 -1 1 1 0 -1 1 -1 -1 -2 0 0 4 0 0 1 0] [ 1 0 0 -1 2 0 0 -1 0 0 -1 -1 1 -1 -2 0 1 0 4 0 0 -1] [-1 -2 0 3 0 2 -2 -1 2 2 0 0 1 0 -1 -1 2 0 0 6 2 -1] [ 1 2 -2 2 -1 2 0 -1 0 1 0 1 -1 1 -2 1 1 1 0 2 6 0] [ 0 1 0 0 0 -1 0 0 -1 -1 0 2 0 1 2 1 0 0 -1 -1 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1165. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 -1 1 2 2 1 -2 -1 1 2 0 2 -1 -1 1 -1 1 -1 0] [ 1 4 0 2 0 2 2 0 2 -1 0 0 -1 -1 0 0 -1 2 -2 2 0 1] [-1 0 4 1 0 0 -1 0 1 2 1 0 -2 1 0 -1 2 0 1 1 0 -1] [ 1 2 1 4 0 0 0 1 2 1 0 -1 0 1 0 0 -1 0 0 2 0 1] [-1 0 0 0 4 -2 -2 -1 0 0 2 0 -1 -1 -1 -1 -1 1 0 0 -1 1] [ 1 2 0 0 -2 6 2 0 2 -1 -1 2 1 0 1 -1 0 0 -2 1 2 -1] [ 2 2 -1 0 -2 2 6 2 0 -1 -2 0 -1 -1 2 0 1 2 -2 0 -1 1] [ 2 0 0 1 -1 0 2 4 0 0 -2 -1 0 0 2 0 0 0 -1 0 -1 1] [ 1 2 1 2 0 2 0 0 4 -1 0 1 0 1 1 0 -1 0 0 2 0 -1] [-2 -1 2 1 0 -1 -1 0 -1 4 0 -1 -1 1 -1 0 1 -1 1 0 1 0] [-1 0 1 0 2 -1 -2 -2 0 0 4 0 -1 -1 -2 -1 0 1 1 1 0 0] [ 1 0 0 -1 0 2 0 -1 1 -1 0 4 2 1 0 -2 0 0 0 0 1 -2] [ 2 -1 -2 0 -1 1 -1 0 0 -1 -1 2 6 2 0 -1 -1 -1 1 -1 1 -1] [ 0 -1 1 1 -1 0 -1 0 1 1 -1 1 2 4 0 0 1 -2 2 0 1 -1] [ 2 0 0 0 -1 1 2 2 1 -1 -2 0 0 0 4 0 0 0 -1 0 -1 0] [-1 0 -1 0 -1 -1 0 0 0 0 -1 -2 -1 0 0 4 0 -1 0 0 0 1] [-1 -1 2 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 4 0 1 -1 0 0] [ 1 2 0 0 1 0 2 0 0 -1 1 0 -1 -2 0 -1 0 4 -1 1 -1 1] [-1 -2 1 0 0 -2 -2 -1 0 1 1 0 1 2 -1 0 1 -1 4 -1 0 -1] [ 1 2 1 2 0 1 0 0 2 0 1 0 -1 0 0 0 -1 1 -1 4 1 0] [-1 0 0 0 -1 2 -1 -1 0 1 0 1 1 1 -1 0 0 -1 0 1 4 -1] [ 0 1 -1 1 1 -1 1 1 -1 0 0 -2 -1 -1 0 1 0 1 -1 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1166. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 -1 1 -2 -1 0 -2 -1 -1 -1 0 -1 2 -1 0 0 -2 1] [-2 4 2 1 -1 0 0 2 0 1 1 1 1 -1 -1 0 -1 -1 1 -1 0 -1] [-2 2 4 -1 -1 1 1 1 1 1 1 2 1 0 -1 1 -2 -1 1 -1 1 -1] [ 1 1 -1 4 0 -2 1 1 -2 0 -1 -1 1 -2 0 0 1 -1 1 0 -2 -1] [ 1 -1 -1 0 4 0 1 -2 -1 -1 -1 1 1 0 1 0 2 -1 -2 -1 -1 1] [-1 0 1 -2 0 4 -1 1 2 0 1 1 0 0 1 1 -1 1 -1 1 0 0] [ 1 0 1 1 1 -1 6 1 0 -1 0 1 2 -1 -1 2 -1 -1 1 -1 1 1] [-2 2 1 1 -2 1 1 6 1 1 1 1 1 -2 0 1 -2 2 2 1 0 -2] [-1 0 1 -2 -1 2 0 1 4 1 2 1 -1 0 -1 0 -1 1 -1 0 1 0] [ 0 1 1 0 -1 0 -1 1 1 4 -1 1 0 -2 -1 -1 0 -1 1 -1 -1 -2] [-2 1 1 -1 -1 1 0 1 2 -1 4 0 -1 1 -1 0 -1 1 0 1 1 0] [-1 1 2 -1 1 1 1 1 1 1 0 4 1 -1 -1 1 0 -1 0 -1 1 0] [-1 1 1 1 1 0 2 1 -1 0 -1 1 4 -1 1 2 -1 -1 0 -1 1 0] [-1 -1 0 -2 0 0 -1 -2 0 -2 1 -1 -1 4 0 0 -1 1 -1 0 2 1] [ 0 -1 -1 0 1 1 -1 0 -1 -1 -1 -1 1 0 4 1 0 1 -1 0 0 0] [-1 0 1 0 0 1 2 1 0 -1 0 1 2 0 1 4 -1 0 0 0 2 1] [ 2 -1 -2 1 2 -1 -1 -2 -1 0 -1 0 -1 -1 0 -1 4 -1 -1 0 -2 1] [-1 -1 -1 -1 -1 1 -1 2 1 -1 1 -1 -1 1 1 0 -1 4 0 2 1 0] [ 0 1 1 1 -2 -1 1 2 -1 1 0 0 0 -1 -1 0 -1 0 4 0 0 -1] [ 0 -1 -1 0 -1 1 -1 1 0 -1 1 -1 -1 0 0 0 0 2 0 4 0 0] [-2 0 1 -2 -1 0 1 0 1 -1 1 1 1 2 0 2 -2 1 0 0 6 1] [ 1 -1 -1 -1 1 0 1 -2 0 -2 0 0 0 1 0 1 1 0 -1 0 1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1167. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -2 2 -1 1 1 -2 0 1 1 0 1 0 1 2 1 0 -1 -1] [-1 4 1 0 0 -2 2 -2 -1 -1 -1 1 1 -1 1 -1 1 -2 -1 -1 -1 2] [-2 1 4 -2 2 -1 0 0 -2 0 0 1 0 -1 0 -1 0 -2 -2 1 0 2] [ 2 0 -2 4 -2 0 1 -1 0 -1 1 1 0 1 0 1 1 0 1 0 0 -1] [-2 0 2 -2 4 -1 -1 0 -1 0 1 -1 0 0 0 -1 -1 -2 -2 0 0 2] [ 2 -2 -1 0 -1 4 -2 1 0 -1 -1 1 0 0 0 1 -1 3 0 1 -1 -2] [-1 2 0 1 -1 -2 4 -1 -1 1 -1 1 0 0 0 1 0 -2 1 -1 1 1] [ 1 -2 0 -1 0 1 -1 4 1 1 0 0 -1 -1 -1 1 0 2 1 0 0 -1] [ 1 -1 -2 0 -1 0 -1 1 4 1 1 -1 0 1 0 0 1 1 1 0 0 -1] [-2 -1 0 -1 0 -1 1 1 1 6 -1 -2 -1 2 -1 1 -2 0 1 1 1 -2] [ 0 -1 0 1 1 -1 -1 0 1 -1 6 -2 -2 0 -2 -1 0 -2 0 1 0 2] [ 1 1 1 1 -1 1 1 0 -1 -2 -2 6 0 -1 1 1 1 0 -1 1 -1 -1] [ 1 1 0 0 0 0 0 -1 0 -1 -2 0 4 0 2 -1 1 0 -1 -1 0 1] [ 0 -1 -1 1 0 0 0 -1 1 2 0 -1 0 4 1 1 -1 -1 1 1 1 -1] [ 1 1 0 0 0 0 0 -1 0 -1 -2 1 2 1 4 -1 1 -1 0 0 -1 0] [ 0 -1 -1 1 -1 1 1 1 0 1 -1 1 -1 1 -1 4 0 1 1 0 1 -1] [ 1 1 0 1 -1 -1 0 0 1 -2 0 1 1 -1 1 0 4 0 0 -1 0 1] [ 2 -2 -2 0 -2 3 -2 2 1 0 -2 0 0 -1 -1 1 0 6 1 0 0 -3] [ 1 -1 -2 1 -2 0 1 1 1 1 0 -1 -1 1 0 1 0 1 4 -1 1 -1] [ 0 -1 1 0 0 1 -1 0 0 1 1 1 -1 1 0 0 -1 0 -1 4 0 -1] [-1 -1 0 0 0 -1 1 0 0 1 0 -1 0 1 -1 1 0 0 1 0 4 0] [-1 2 2 -1 2 -2 1 -1 -1 -2 2 -1 1 -1 0 -1 1 -3 -1 -1 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1168. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 -2 1 -1 0 0 2 0 1 1 0 0 -1 0 -1 0 0 2 1 -2] [ 0 4 -1 -2 -1 0 2 1 0 -1 -1 1 0 1 0 0 1 -2 -1 0 1 2] [-1 -1 4 2 1 1 -2 -1 -2 2 -1 0 0 -2 1 -1 1 1 1 -2 0 -1] [-2 -2 2 6 1 2 -1 1 -3 1 -1 -1 1 0 2 1 2 0 -1 0 -1 1] [ 1 -1 1 1 4 -1 -1 1 0 0 0 1 1 0 0 1 -1 0 0 0 1 -1] [-1 0 1 2 -1 4 0 0 -2 0 -1 -1 1 0 0 1 1 0 -1 1 -1 0] [ 0 2 -2 -1 -1 0 4 2 0 -2 0 0 -1 1 0 1 0 -2 0 2 0 1] [ 0 1 -1 1 1 0 2 4 0 -1 0 0 1 2 0 2 0 -1 0 1 0 2] [ 2 0 -2 -3 0 -2 0 0 4 -1 1 0 0 1 -2 0 -2 0 1 1 0 -1] [ 0 -1 2 1 0 0 -2 -1 -1 4 -1 0 -1 -2 0 -2 1 2 0 -1 0 -1] [ 1 -1 -1 -1 0 -1 0 0 1 -1 4 -1 0 1 0 0 0 1 1 1 -1 0] [ 1 1 0 -1 1 -1 0 0 0 0 -1 4 -1 0 -1 0 0 0 0 0 1 -1] [ 0 0 0 1 1 1 -1 1 0 -1 0 -1 4 1 1 1 0 0 -1 0 1 2] [ 0 1 -2 0 0 0 1 2 1 -2 1 0 1 4 -1 2 0 -1 -1 1 0 2] [-1 0 1 2 0 0 0 0 -2 0 0 -1 1 -1 4 -1 1 -1 0 -1 0 2] [ 0 0 -1 1 1 1 1 2 0 -2 0 0 1 2 -1 4 0 -1 -1 1 0 1] [-1 1 1 2 -1 1 0 0 -2 1 0 0 0 0 1 0 4 0 -1 0 0 2] [ 0 -2 1 0 0 0 -2 -1 0 2 1 0 0 -1 -1 -1 0 4 1 0 0 -1] [ 0 -1 1 -1 0 -1 0 0 1 0 1 0 -1 -1 0 -1 -1 1 4 -1 -1 -1] [ 2 0 -2 0 0 1 2 1 1 -1 1 0 0 1 -1 1 0 0 -1 6 0 -1] [ 1 1 0 -1 1 -1 0 0 0 0 -1 1 1 0 0 0 0 0 -1 0 4 0] [-2 2 -1 1 -1 0 1 2 -1 -1 0 -1 2 2 2 1 2 -1 -1 -1 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1169. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 1 2 0 2 0 -2 1 -1 1 1 0 -1 -1 -1 1 1 1 1] [ 0 4 1 0 1 1 2 1 0 -2 0 0 0 -1 -2 1 1 -1 -1 1 -1 2] [ 1 1 4 2 2 0 2 1 1 -1 0 -2 -1 -1 0 1 1 1 1 0 1 1] [ 2 0 2 4 0 0 0 2 1 -1 1 -1 1 1 0 0 1 0 2 0 0 1] [ 1 1 2 0 4 0 2 0 -1 -2 0 -1 -1 -1 0 1 0 0 -1 0 1 1] [ 2 1 0 0 0 4 0 2 0 -1 0 -1 1 1 0 0 0 -2 0 2 0 1] [ 0 2 2 0 2 0 4 0 -1 -2 -1 0 -1 -1 -1 2 1 0 0 1 0 2] [ 2 1 1 2 0 2 0 4 1 -1 0 -1 1 1 0 -1 0 -2 1 1 -1 1] [ 0 0 1 1 -1 0 -1 1 4 1 0 -1 -1 0 1 -1 -1 1 1 -1 -1 0] [-2 -2 -1 -1 -2 -1 -2 -1 1 6 1 -1 0 -1 2 0 -1 0 -1 -1 0 -1] [ 1 0 0 1 0 0 -1 0 0 1 4 0 1 -1 -1 0 -1 0 -1 1 1 0] [-1 0 -2 -1 -1 -1 0 -1 -1 -1 0 4 1 1 -2 -1 0 0 0 0 0 -1] [ 1 0 -1 1 -1 1 -1 1 -1 0 1 1 4 2 -1 -1 1 -1 1 0 0 0] [ 1 -1 -1 1 -1 1 -1 1 0 -1 -1 1 2 4 0 -1 1 -1 2 0 0 0] [ 0 -2 0 0 0 0 -1 0 1 2 -1 -2 -1 0 4 0 -1 0 0 -1 0 0] [-1 1 1 0 1 0 2 -1 -1 0 0 -1 -1 -1 0 4 2 0 -1 1 0 2] [-1 1 1 1 0 0 1 0 -1 -1 -1 0 1 1 -1 2 4 0 1 0 0 1] [-1 -1 1 0 0 -2 0 -2 1 0 0 0 -1 -1 0 0 0 4 1 -1 1 -1] [ 1 -1 1 2 -1 0 0 1 1 -1 -1 0 1 2 0 -1 1 1 4 -1 0 0] [ 1 1 0 0 0 2 1 1 -1 -1 1 0 0 0 -1 1 0 -1 -1 4 1 1] [ 1 -1 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 1 0 1 4 -1] [ 1 2 1 1 1 1 2 1 0 -1 0 -1 0 0 0 2 1 -1 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1170. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 -1 -1 -1 -1 -1 1 2 -2 -1 -2 -1 1 -2 -1 1 -1 -1 2] [-1 4 -2 1 -1 -1 2 1 -1 -2 -1 2 2 1 2 -1 -1 2 1 0 -1 0] [ 2 -2 4 0 1 1 -2 -1 -1 0 1 -2 -2 -2 -2 1 -1 -1 1 0 -1 1] [ 1 1 0 4 0 -1 0 1 -2 -2 0 1 2 -1 2 -1 -1 1 0 1 -2 1] [-1 -1 1 0 4 0 0 -1 0 -1 -1 -1 1 0 0 0 1 0 -1 0 1 0] [-1 -1 1 -1 0 4 -2 1 0 -1 -1 1 -1 0 -2 1 0 0 1 0 -1 0] [-1 2 -2 0 0 -2 4 -1 1 0 -1 0 2 2 1 0 0 1 0 -1 0 0] [-1 1 -1 1 -1 1 -1 4 0 -1 0 3 0 0 2 -1 0 0 0 1 -1 0] [-1 -1 -1 -2 0 0 1 0 4 2 0 0 -1 2 -1 1 2 -1 -1 0 2 0] [ 1 -2 0 -2 -1 -1 0 -1 2 6 2 -2 -3 1 0 2 0 -1 -1 0 3 0] [ 2 -1 1 0 -1 -1 -1 0 0 2 4 -2 -1 -1 -1 0 0 0 0 1 0 0] [-2 2 -2 1 -1 1 0 3 0 -2 -2 6 0 1 3 -1 0 0 1 1 0 0] [-1 2 -2 2 1 -1 2 0 -1 -3 -1 0 6 0 1 -2 0 1 0 0 -2 -1] [-2 1 -2 -1 0 0 2 0 2 1 -1 1 0 4 0 1 1 1 -1 0 2 0] [-1 2 -2 2 0 -2 1 2 -1 0 -1 3 1 0 6 -2 -1 0 0 1 0 0] [ 1 -1 1 -1 0 1 0 -1 1 2 0 -1 -2 1 -2 4 0 0 0 -1 1 2] [-2 -1 -1 -1 1 0 0 0 2 0 0 0 0 1 -1 0 4 0 -2 1 2 -1] [-1 2 -1 1 0 0 1 0 -1 -1 0 0 1 1 0 0 0 4 0 1 0 0] [ 1 1 1 0 -1 1 0 0 -1 -1 0 1 0 -1 0 0 -2 0 4 -1 -2 1] [-1 0 0 1 0 0 -1 1 0 0 1 1 0 0 1 -1 1 1 -1 4 1 -1] [-1 -1 -1 -2 1 -1 0 -1 2 3 0 0 -2 2 0 1 2 0 -2 1 6 -1] [ 2 0 1 1 0 0 0 0 0 0 0 0 -1 0 0 2 -1 0 1 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1171. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 1 1 0 -1 -1 0 1 2 -1 0 1 -1 -2 2 -2 1 2 1] [-2 4 2 -1 -1 0 -1 1 0 -1 1 0 0 -1 -2 1 0 -2 2 -1 -1 0] [-2 2 4 0 -2 1 0 1 0 -1 1 -1 1 0 -1 1 1 -2 1 -1 -2 -1] [ 1 -1 0 4 -1 0 0 1 1 -1 -1 1 -1 -1 0 0 -1 0 -2 0 0 1] [ 1 -1 -2 -1 4 -1 1 -2 0 2 1 0 0 1 1 0 1 0 0 0 0 -1] [ 1 0 1 0 -1 4 -1 0 -2 -1 0 0 0 0 1 -1 0 1 -1 -1 -1 1] [ 0 -1 0 0 1 -1 4 -2 2 2 -1 0 -1 2 1 1 2 0 -1 0 1 0] [-1 1 1 1 -2 0 -2 4 0 -1 -1 0 1 -2 -2 -1 -2 0 1 0 0 0] [-1 0 0 1 0 -2 2 0 4 0 -2 0 0 0 -1 0 0 -1 0 0 1 0] [ 0 -1 -1 -1 2 -1 2 -1 0 4 -1 0 0 2 1 0 2 0 0 0 0 0] [ 1 1 1 -1 1 0 -1 -1 -2 -1 6 1 1 -1 -1 2 -1 -1 1 1 0 -2] [ 2 0 -1 1 0 0 0 0 0 0 1 4 0 -1 -1 1 -2 1 0 1 1 1] [-1 0 1 -1 0 0 -1 1 0 0 1 0 4 -1 -1 0 -1 -1 2 1 -1 -1] [ 0 -1 0 -1 1 0 2 -2 0 2 -1 -1 -1 4 2 0 2 0 -1 -1 0 0] [ 1 -2 -1 0 1 1 1 -2 -1 1 -1 -1 -1 2 4 -1 2 1 -2 -1 -1 1] [-1 1 1 0 0 -1 1 -1 0 0 2 1 0 0 -1 4 1 -1 1 1 -1 -1] [-2 0 1 -1 1 0 2 -2 0 2 -1 -2 -1 2 2 1 6 -1 0 -1 -3 0] [ 2 -2 -2 0 0 1 0 0 -1 0 -1 1 -1 0 1 -1 -1 4 -1 1 2 1] [-2 2 1 -2 0 -1 -1 1 0 0 1 0 2 -1 -2 1 0 -1 4 0 -1 -1] [ 1 -1 -1 0 0 -1 0 0 0 0 1 1 1 -1 -1 1 -1 1 0 4 2 0] [ 2 -1 -2 0 0 -1 1 0 1 0 0 1 -1 0 -1 -1 -3 2 -1 2 6 0] [ 1 0 -1 1 -1 1 0 0 0 0 -2 1 -1 0 1 -1 0 1 -1 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1172. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 1 1 0 0 -1 -2 1 -1 -1 -1 -1 1 2 0 0 1 -1 1] [ 0 4 -1 0 -1 1 2 0 2 1 -1 1 2 1 -2 -1 0 0 -2 0 -1 0] [ 1 -1 4 -1 0 1 -1 1 0 0 2 -1 0 1 2 0 -1 -1 0 1 -1 0] [ 0 0 -1 4 2 0 1 -2 0 0 0 1 0 0 0 1 0 2 1 1 0 1] [ 1 -1 0 2 4 1 -1 -1 0 -2 1 1 -1 0 1 2 1 0 2 1 0 0] [ 1 1 1 0 1 4 0 -1 1 0 2 1 0 1 1 0 1 0 1 0 -2 1] [ 0 2 -1 1 -1 0 4 -1 1 1 -1 0 2 0 -2 -1 1 2 0 -1 -1 1] [ 0 0 1 -2 -1 -1 -1 4 1 0 0 0 0 -1 0 -1 -1 -2 -2 1 0 0] [-1 2 0 0 0 1 1 1 4 1 0 2 2 1 -1 0 -1 0 0 1 0 0] [-2 1 0 0 -2 0 1 0 1 4 0 0 2 0 1 -2 -2 0 0 0 0 0] [ 1 -1 2 0 1 2 -1 0 0 0 4 -1 0 0 2 1 0 -1 2 1 -1 0] [-1 1 -1 1 1 1 0 0 2 0 -1 4 0 1 -1 0 0 1 -1 1 0 0] [-1 2 0 0 -1 0 2 0 2 2 0 0 4 0 -1 -1 -1 0 0 0 0 0] [-1 1 1 0 0 1 0 -1 1 0 0 1 0 4 1 1 -1 0 -1 0 0 -1] [-1 -2 2 0 1 1 -2 0 -1 1 2 -1 -1 1 6 0 -1 -1 2 0 -1 -1] [ 1 -1 0 1 2 0 -1 -1 0 -2 1 0 -1 1 0 4 1 0 1 1 1 0] [ 2 0 -1 0 1 1 1 -1 -1 -2 0 0 -1 -1 -1 1 4 1 1 -1 -1 1] [ 0 0 -1 2 0 0 2 -2 0 0 -1 1 0 0 -1 0 1 4 1 0 0 1] [ 0 -2 0 1 2 1 0 -2 0 0 2 -1 0 -1 2 1 1 1 6 -1 0 0] [ 1 0 1 1 1 0 -1 1 1 0 1 1 0 0 0 1 -1 0 -1 4 1 0] [-1 -1 -1 0 0 -2 -1 0 0 0 -1 0 0 0 -1 1 -1 0 0 1 4 -1] [ 1 0 0 1 0 1 1 0 0 0 0 0 0 -1 -1 0 1 1 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1173. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 0 -1 -1 -1 1 -2 -1 1 0 2 -1 1 1 1 -1 0 0 0 -1] [-1 4 1 -1 2 1 1 0 1 -1 -1 1 -2 -1 -1 -1 -1 1 1 1 1 1] [-2 1 4 -1 1 0 1 -1 2 -1 0 1 -2 -1 -1 0 -2 1 -1 1 1 1] [ 0 -1 -1 4 1 1 -2 -1 -1 0 1 -2 -1 0 2 0 0 -2 -1 0 -2 0] [-1 2 1 1 4 2 -1 0 1 -1 1 0 -3 0 0 0 0 -1 -1 1 0 0] [-1 1 0 1 2 4 -1 1 1 1 0 0 -2 1 1 1 -1 -1 0 1 0 0] [-1 1 1 -2 -1 -1 4 -1 1 -1 -2 1 1 0 -1 0 -1 2 0 1 1 1] [ 1 0 -1 -1 0 1 -1 4 0 2 0 0 1 0 0 1 0 -1 0 0 0 0] [-2 1 2 -1 1 1 1 0 4 1 -1 0 -2 1 -1 1 -1 0 0 1 0 1] [-1 -1 -1 0 -1 1 -1 2 1 6 -2 -1 1 2 -1 0 1 0 0 0 -1 -1] [ 1 -1 0 1 1 0 -2 0 -1 -2 4 0 0 0 1 1 0 -1 0 0 0 -1] [ 0 1 1 -2 0 0 1 0 0 -1 0 4 -1 0 -2 0 0 2 1 1 1 -1] [ 2 -2 -2 -1 -3 -2 1 1 -2 1 0 -1 6 0 1 0 1 1 0 0 1 0] [-1 -1 -1 0 0 1 0 0 1 2 0 0 0 4 -1 1 1 0 0 0 0 -1] [ 1 -1 -1 2 0 1 -1 0 -1 -1 1 -2 1 -1 4 0 -1 -2 0 0 -1 1] [ 1 -1 0 0 0 1 0 1 1 0 1 0 0 1 0 4 0 -1 -1 1 0 0] [ 1 -1 -2 0 0 -1 -1 0 -1 1 0 0 1 1 -1 0 4 0 0 -1 0 -1] [-1 1 1 -2 -1 -1 2 -1 0 0 -1 2 1 0 -2 -1 0 4 1 1 2 0] [ 0 1 -1 -1 -1 0 0 0 0 0 0 1 0 0 0 -1 0 1 4 -1 0 0] [ 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 -1 1 -1 4 1 0] [ 0 1 1 -2 0 0 1 0 0 -1 0 1 1 0 -1 0 0 2 0 1 4 0] [-1 1 1 0 0 0 1 0 1 -1 -1 -1 0 -1 1 0 -1 0 0 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1174. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 0 1 1 -1 2 -1 -1 0 2 1 1 2 1 -1 1 -1 -2] [ 1 4 0 -2 2 0 2 2 -1 0 0 -2 -1 0 1 1 2 0 -2 2 1 1] [-1 0 4 -1 -1 0 0 1 1 1 -1 -1 1 0 1 -1 -1 1 1 1 2 -1] [-1 -2 -1 4 -1 1 -2 -2 1 0 0 1 0 0 0 -1 -1 0 0 -2 0 1] [ 2 2 -1 -1 6 -2 2 0 1 0 1 -1 -2 2 2 2 0 -1 -3 0 -2 -2] [ 0 0 0 1 -2 4 -2 0 -1 1 -2 0 1 0 -1 -2 2 1 1 0 0 1] [ 1 2 0 -2 2 -2 4 2 0 0 1 -1 0 1 0 2 0 0 -1 1 1 -1] [ 1 2 1 -2 0 0 2 4 0 0 0 -1 1 1 0 0 2 0 0 2 1 -1] [-1 -1 1 1 1 -1 0 0 4 0 1 1 1 0 0 0 -1 -1 0 -1 -1 -2] [ 2 0 1 0 0 1 0 0 0 4 -2 -1 1 1 1 0 1 2 0 1 1 -2] [-1 0 -1 0 1 -2 1 0 1 -2 4 0 0 0 0 2 -2 -2 -1 -1 0 0] [-1 -2 -1 1 -1 0 -1 -1 1 -1 0 4 1 -1 -2 0 0 0 2 -2 -2 0] [ 0 -1 1 0 -2 1 0 1 1 1 0 1 4 0 -1 0 1 0 2 0 1 -1] [ 2 0 0 0 2 0 1 1 0 1 0 -1 0 4 1 0 0 0 -1 0 0 -2] [ 1 1 1 0 2 -1 0 0 0 1 0 -2 -1 1 4 1 -1 0 -2 1 1 0] [ 1 1 -1 -1 2 -2 2 0 0 0 2 0 0 0 1 4 -1 0 -1 0 0 0] [ 2 2 -1 -1 0 2 0 2 -1 1 -2 0 1 0 -1 -1 6 1 0 2 -1 0] [ 1 0 1 0 -1 1 0 0 -1 2 -2 0 0 0 0 0 1 4 1 1 1 0] [-1 -2 1 0 -3 1 -1 0 0 0 -1 2 2 -1 -2 -1 0 1 4 -1 0 0] [ 1 2 1 -2 0 0 1 2 -1 1 -1 -2 0 0 1 0 2 1 -1 4 2 0] [-1 1 2 0 -2 0 1 1 -1 1 0 -2 1 0 1 0 -1 1 0 2 6 1] [-2 1 -1 1 -2 1 -1 -1 -2 -2 0 0 -1 -2 0 0 0 0 0 0 1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1175. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -2 -1 1 -1 1 0 -1 -1 -1 1 0 0 -2 0 0 0 1 -1] [-1 4 0 0 -1 2 0 0 -1 1 2 1 1 0 -1 -1 0 1 0 0 0 -1] [-2 0 4 -2 1 -1 -1 0 0 0 -1 0 -1 -1 1 1 2 -1 1 -1 -1 0] [ 2 0 -2 4 0 -1 2 -1 1 -1 0 0 0 1 -1 -1 -1 1 0 1 1 0] [-2 -1 1 0 4 0 0 1 0 0 0 0 0 -1 1 0 1 0 1 1 0 2] [-1 2 -1 -1 0 6 -2 0 0 0 3 1 2 -2 -2 1 -2 2 1 -1 1 -1] [ 1 0 -1 2 0 -2 4 1 -1 1 0 0 0 2 1 -2 1 -1 0 2 -1 0] [-1 0 0 -1 1 0 1 4 -2 1 0 1 0 1 1 -2 1 -1 -1 1 -2 1] [ 1 -1 0 1 0 0 -1 -2 4 -2 0 -1 -1 0 0 1 -1 1 1 0 1 -1] [ 0 1 0 -1 0 0 1 1 -2 4 0 -1 1 0 1 0 0 -1 0 1 0 0] [-1 2 -1 0 0 3 0 0 0 0 4 0 2 -1 -1 -1 0 2 0 0 1 0] [-1 1 0 0 0 1 0 1 -1 -1 0 4 1 1 -1 -1 0 0 -1 -1 -1 0] [-1 1 -1 0 0 2 0 0 -1 1 2 1 4 -1 -2 0 0 1 -1 0 1 0] [ 1 0 -1 1 -1 -2 2 1 0 0 -1 1 -1 4 1 -2 0 -1 -1 1 -1 0] [ 0 -1 1 -1 1 -2 1 1 0 1 -1 -1 -2 1 4 0 1 -1 1 1 -1 0] [ 0 -1 1 -1 0 1 -2 -2 1 0 -1 -1 0 -2 0 4 -1 0 1 -1 1 -1] [-2 0 2 -1 1 -2 1 1 -1 0 0 0 0 0 1 -1 4 -1 0 1 -1 1] [ 0 1 -1 1 0 2 -1 -1 1 -1 2 0 1 -1 -1 0 -1 4 1 0 1 -1] [ 0 0 1 0 1 1 0 -1 1 0 0 -1 -1 -1 1 1 0 1 4 0 0 -1] [ 0 0 -1 1 1 -1 2 1 0 1 0 -1 0 1 1 -1 1 0 0 4 0 0] [ 1 0 -1 1 0 1 -1 -2 1 0 1 -1 1 -1 -1 1 -1 1 0 0 4 0] [-1 -1 0 0 2 -1 0 1 -1 0 0 0 0 0 0 -1 1 -1 -1 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1176. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 1 2 2 0 -1 1 1 2 -2 1 -1 1 1 0 0 1] [ 1 4 0 -2 0 2 0 0 1 1 -2 2 1 0 0 -1 1 -1 0 -1 0 -1] [-1 0 4 -1 0 0 0 0 -2 -1 -1 -1 1 0 0 1 0 -2 1 1 0 0] [-1 -2 -1 4 -1 -1 0 0 -1 1 2 0 -1 0 0 1 0 0 -1 1 -1 -1] [ 1 0 0 -1 4 1 -1 1 0 -2 0 -1 1 1 -1 0 1 2 1 1 2 1] [ 1 2 0 -1 1 4 0 0 1 1 0 0 0 1 0 0 0 0 -1 -1 0 0] [ 1 0 0 0 -1 0 4 2 0 0 0 0 1 1 -1 1 0 1 1 0 0 0] [ 2 0 0 0 1 0 2 4 0 0 0 0 2 2 -2 2 0 2 2 0 0 0] [ 2 1 -2 -1 0 1 0 0 4 0 -1 1 -1 1 -1 0 -1 0 -1 -1 -1 0] [ 0 1 -1 1 -2 1 0 0 0 4 0 1 -1 0 1 0 0 -1 -1 -2 -1 -1] [-1 -2 -1 2 0 0 0 0 -1 0 4 -1 0 0 1 0 0 2 0 0 0 0] [ 1 2 -1 0 -1 0 0 0 1 1 -1 4 0 0 0 -1 0 0 0 -1 0 0] [ 1 1 1 -1 1 0 1 2 -1 -1 0 0 4 0 -1 1 0 1 2 1 1 0] [ 2 0 0 0 1 1 1 2 1 0 0 0 0 4 -2 1 -1 0 1 0 0 1] [-2 0 0 0 -1 0 -1 -2 -1 1 1 0 -1 -2 4 -2 0 -1 0 -1 0 0] [ 1 -1 1 1 0 0 1 2 0 0 0 -1 1 1 -2 4 0 0 0 1 -1 0] [-1 1 0 0 1 0 0 0 -1 0 0 0 0 -1 0 0 4 1 0 0 1 -1] [ 1 -1 -2 0 2 0 1 2 0 -1 2 0 1 0 -1 0 1 6 1 0 2 1] [ 1 0 1 -1 1 -1 1 2 -1 -1 0 0 2 1 0 0 0 1 4 0 1 1] [ 0 -1 1 1 1 -1 0 0 -1 -2 0 -1 1 0 -1 1 0 0 0 4 1 0] [ 0 0 0 -1 2 0 0 0 -1 -1 0 0 1 0 0 -1 1 2 1 1 4 1] [ 1 -1 0 -1 1 0 0 0 0 -1 0 0 0 1 0 0 -1 1 1 0 1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1177. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 0 1 -1 -2 0 1 1 1 -1 0 2 1 -1 -2 0 1 0 0] [ 1 4 -2 0 1 0 -2 0 1 1 2 -1 -1 1 0 0 1 0 1 2 0 0] [-1 -2 4 -1 1 0 1 0 1 -2 -2 0 2 -1 0 -1 0 0 1 -2 -1 -1] [ 1 0 -1 4 1 -1 -1 -1 1 0 0 -1 0 -1 1 1 -2 -1 -2 0 2 2] [ 0 1 1 1 4 -1 -1 0 2 0 0 -2 1 -1 1 -1 0 -1 1 -1 0 1] [ 1 0 0 -1 -1 4 1 -1 0 0 0 1 -1 1 1 1 -1 1 1 0 0 -1] [-1 -2 1 -1 -1 1 4 1 -1 0 -2 1 1 -1 -1 -1 0 1 0 -1 0 -1] [-2 0 0 -1 0 -1 1 4 -1 0 -1 0 0 0 -1 0 0 2 1 0 0 -1] [ 0 1 1 1 2 0 -1 -1 4 0 0 -2 1 -1 1 -1 0 0 1 -1 0 1] [ 1 1 -2 0 0 0 0 0 0 4 2 0 -1 -1 1 -1 0 0 0 1 -1 0] [ 1 2 -2 0 0 0 -2 -1 0 2 4 -1 -1 1 1 0 0 -1 0 2 0 1] [ 1 -1 0 -1 -2 1 1 0 -2 0 -1 4 0 1 -1 0 0 0 0 0 0 -2] [-1 -1 2 0 1 -1 1 0 1 -1 -1 0 4 0 -1 -2 1 0 1 -2 0 0] [ 0 1 -1 -1 -1 1 -1 0 -1 -1 1 1 0 4 -1 1 1 0 1 1 1 0] [ 2 0 0 1 1 1 -1 -1 1 1 1 -1 -1 -1 4 1 -2 -1 0 0 0 1] [ 1 0 -1 1 -1 1 -1 0 -1 -1 0 0 -2 1 1 4 -1 0 -1 1 1 1] [-1 1 0 -2 0 -1 0 0 0 0 0 0 1 1 -2 -1 4 0 1 0 -1 0] [-2 0 0 -1 -1 1 1 2 0 0 -1 0 0 0 -1 0 0 4 1 0 0 -1] [ 0 1 1 -2 1 1 0 1 1 0 0 0 1 1 0 -1 1 1 4 -1 -1 -1] [ 1 2 -2 0 -1 0 -1 0 -1 1 2 0 -2 1 0 1 0 0 -1 4 1 0] [ 0 0 -1 2 0 0 0 0 0 -1 0 0 0 1 0 1 -1 0 -1 1 4 1] [ 0 0 -1 2 1 -1 -1 -1 1 0 1 -2 0 0 1 1 0 -1 -1 0 1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1178. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 1 1 0 -1 0 -1 2 1 0 -1 0 1 1 -1 1 -1 0 -1 0] [-2 6 2 -2 -2 -2 -1 -2 0 -2 -1 -1 -1 -1 -2 -2 2 1 -2 -2 2 -1] [ 0 2 4 -1 1 -2 0 -2 1 -1 1 -2 0 -1 -2 -1 2 0 -1 -2 0 0] [ 1 -2 -1 4 -1 0 1 0 0 0 0 0 1 -1 2 1 -1 -1 2 0 -2 0] [ 1 -2 1 -1 4 1 1 1 1 0 1 -1 1 1 0 0 0 0 0 0 -1 0] [ 0 -2 -2 0 1 4 1 2 -1 0 0 1 0 0 1 0 -2 1 1 2 0 -1] [-1 -1 0 1 1 1 4 0 0 -2 -1 -1 2 -1 1 1 -1 0 1 0 -1 0] [ 0 -2 -2 0 1 2 0 4 -1 1 0 1 1 2 1 1 0 -1 1 2 0 -1] [-1 0 1 0 1 -1 0 -1 4 0 1 -1 0 0 -1 0 1 -1 1 -1 0 0] [ 2 -2 -1 0 0 0 -2 1 0 6 0 0 0 0 0 0 0 1 0 1 0 -1] [ 1 -1 1 0 1 0 -1 0 1 0 4 -1 -1 1 0 0 1 0 1 -1 0 0] [ 0 -1 -2 0 -1 1 -1 1 -1 0 -1 4 -1 1 1 1 -1 -1 0 2 1 1] [-1 -1 0 1 1 0 2 1 0 0 -1 -1 4 0 1 0 0 -1 1 0 -1 0] [ 0 -1 -1 -1 1 0 -1 2 0 0 1 1 0 4 0 1 1 -1 0 1 1 0] [ 1 -2 -2 2 0 1 1 1 -1 0 0 1 1 0 4 1 -2 0 1 0 -1 0] [ 1 -2 -1 1 0 0 1 1 0 0 0 1 0 1 1 4 0 -1 0 1 0 1] [-1 2 2 -1 0 -2 -1 0 1 0 1 -1 0 1 -2 0 4 -1 0 -1 1 0] [ 1 1 0 -1 0 1 0 -1 -1 1 0 -1 -1 -1 0 -1 -1 4 -1 0 1 -1] [-1 -2 -1 2 0 1 1 1 1 0 1 0 1 0 1 0 0 -1 4 0 -1 0] [ 0 -2 -2 0 0 2 0 2 -1 1 -1 2 0 1 0 1 -1 0 0 4 1 0] [-1 2 0 -2 -1 0 -1 0 0 0 0 1 -1 1 -1 0 1 1 -1 1 4 -1] [ 0 -1 0 0 0 -1 0 -1 0 -1 0 1 0 0 0 1 0 -1 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1179. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 2 0 2 -1 0 0 -1 -2 -1 1 -2 1 1 -1 -1 0 1 2 1] [ 2 4 1 1 1 2 -1 1 -1 -1 0 1 0 0 0 -1 1 -1 0 1 2 1] [ 1 1 4 2 1 1 0 -1 -1 -2 -2 1 -1 0 -1 -1 1 -2 -1 0 2 1] [ 2 1 2 4 1 1 0 -1 0 -2 -2 0 1 -1 1 0 0 -2 -1 0 1 1] [ 0 1 1 1 4 2 1 0 1 -1 -1 2 0 1 -1 -1 1 -2 -2 -1 0 2] [ 2 2 1 1 2 4 -1 0 0 -1 -2 1 1 0 -1 -1 1 -2 0 1 2 1] [-1 -1 0 0 1 -1 4 -1 0 -1 0 1 0 1 0 1 0 0 -2 -2 -2 1] [ 0 1 -1 -1 0 0 -1 4 1 0 0 0 0 1 0 -1 -1 1 1 0 -1 0] [ 0 -1 -1 0 1 0 0 1 4 0 -1 0 0 0 0 0 0 0 0 0 -2 0] [-1 -1 -2 -2 -1 -1 -1 0 0 4 1 -1 -1 -1 1 1 -1 2 1 1 -1 0] [-2 0 -2 -2 -1 -2 0 0 -1 1 6 -1 0 1 0 0 1 2 1 -1 0 -1] [-1 1 1 0 2 1 1 0 0 -1 -1 4 0 1 -2 -2 2 -1 -1 -1 -1 0] [ 1 0 -1 1 0 1 0 0 0 -1 0 0 4 -1 1 0 0 -1 1 0 0 0] [-2 0 0 -1 1 0 1 1 0 -1 1 1 -1 4 -2 -1 1 0 -1 -1 0 0] [ 1 0 -1 1 -1 -1 0 0 0 1 0 -2 1 -2 4 1 -2 0 1 1 -1 1] [ 1 -1 -1 0 -1 -1 1 -1 0 1 0 -2 0 -1 1 4 -1 1 -1 0 0 1] [-1 1 1 0 1 1 0 -1 0 -1 1 2 0 1 -2 -1 4 -1 0 0 1 0] [-1 -1 -2 -2 -2 -2 0 1 0 2 2 -1 -1 0 0 1 -1 4 1 0 -1 -1] [ 0 0 -1 -1 -2 0 -2 1 0 1 1 -1 1 -1 1 -1 0 1 4 1 0 -1] [ 1 1 0 0 -1 1 -2 0 0 1 -1 -1 0 -1 1 0 0 0 1 4 2 0] [ 2 2 2 1 0 2 -2 -1 -2 -1 0 -1 0 0 -1 0 1 -1 0 2 6 0] [ 1 1 1 1 2 1 1 0 0 0 -1 0 0 0 1 1 0 -1 -1 0 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1180. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 -1 -1 0 -1 0 1 0 -1 1 2 -1 1 0 1 2 2 -2 -1 -1] [ 2 4 -1 -2 -2 0 -1 1 0 1 0 1 1 -2 0 1 1 2 2 -2 -2 1] [ 0 -1 4 0 2 0 2 0 1 1 1 -1 -1 2 0 -1 1 1 1 1 1 1] [-1 -2 0 6 2 -1 1 -3 0 0 -1 -1 2 3 -1 0 0 -2 1 2 1 -2] [-1 -2 2 2 6 -2 2 -2 -1 1 -1 1 0 2 0 -2 0 -1 2 1 1 -2] [ 0 0 0 -1 -2 4 1 0 2 1 0 0 -2 1 -1 1 -1 0 -1 0 0 2] [-1 -1 2 1 2 1 4 0 0 1 1 0 -1 3 0 0 0 0 1 1 0 1] [ 0 1 0 -3 -2 0 0 4 -1 -1 1 0 -1 -1 1 0 1 1 -1 -1 -1 1] [ 1 0 1 0 -1 2 0 -1 4 1 0 -1 0 1 -1 1 -1 0 1 1 1 1] [ 0 1 1 0 1 1 1 -1 1 4 -1 1 -1 1 -2 1 -1 1 2 0 -1 2] [-1 0 1 -1 -1 0 1 1 0 -1 4 -2 -1 0 0 1 0 0 -1 1 1 1] [ 1 1 -1 -1 1 0 0 0 -1 1 -2 4 1 0 0 -1 0 1 1 -1 -2 -1] [ 2 1 -1 2 0 -2 -1 -1 0 -1 -1 1 6 1 0 -1 0 1 1 0 -1 -3] [-1 -2 2 3 2 1 3 -1 1 1 0 0 1 6 -2 0 0 0 0 2 1 -1] [ 1 0 0 -1 0 -1 0 1 -1 -2 0 0 0 -2 4 -1 1 0 0 -1 0 0] [ 0 1 -1 0 -2 1 0 0 1 1 1 -1 -1 0 -1 4 0 0 0 0 0 2] [ 1 1 1 0 0 -1 0 1 -1 -1 0 0 0 0 1 0 4 1 1 -1 0 0] [ 2 2 1 -2 -1 0 0 1 0 1 0 1 1 0 0 0 1 4 1 -1 -1 1] [ 2 2 1 1 2 -1 1 -1 1 2 -1 1 1 0 0 0 1 1 6 -1 -1 0] [-2 -2 1 2 1 0 1 -1 1 0 1 -1 0 2 -1 0 -1 -1 -1 4 2 0] [-1 -2 1 1 1 0 0 -1 1 -1 1 -2 -1 1 0 0 0 -1 -1 2 4 -1] [-1 1 1 -2 -2 2 1 1 1 2 1 -1 -3 -1 0 2 0 1 0 0 -1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1181. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 2 1 0 0 2 -1 1 -2 0 1 1 1 -2 1 1 -2 2 -2] [ 1 4 1 -2 2 -1 0 0 0 -2 2 0 0 1 -1 1 -2 -1 1 -2 2 0] [ 2 1 4 -1 1 1 0 1 1 0 2 0 -1 1 1 0 -2 1 2 -1 0 -2] [-1 -2 -1 4 -2 1 1 -1 0 2 -1 0 1 -1 1 -1 1 1 -1 0 -1 1] [ 2 2 1 -2 4 0 -1 0 0 -1 2 -1 -1 0 -1 0 -2 -1 1 -1 1 -1] [ 1 -1 1 1 0 4 1 0 0 1 1 -2 0 0 0 0 0 0 0 -1 0 -1] [ 0 0 0 1 -1 1 4 1 0 0 0 -1 2 1 -1 1 -1 -1 1 -2 1 0] [ 0 0 1 -1 0 0 1 4 -1 -1 0 0 -1 1 0 -1 0 0 0 1 -1 0] [ 2 0 1 0 0 0 0 -1 4 -1 0 0 0 0 1 1 -1 2 1 -2 2 -2] [-1 -2 0 2 -1 1 0 -1 -1 4 0 0 0 0 0 0 1 0 -1 1 -1 0] [ 1 2 2 -1 2 1 0 0 0 0 4 0 -1 1 -1 1 -2 -1 1 -2 0 -1] [-2 0 0 0 -1 -2 -1 0 0 0 0 4 -1 -1 0 -1 0 1 0 1 -2 0] [ 0 0 -1 1 -1 0 2 -1 0 0 -1 -1 4 1 0 1 0 -1 1 -2 2 1] [ 1 1 1 -1 0 0 1 1 0 0 1 -1 1 4 -1 2 0 -1 0 -2 1 0] [ 1 -1 1 1 -1 0 -1 0 1 0 -1 0 0 -1 4 -1 0 2 0 1 0 0] [ 1 1 0 -1 0 0 1 -1 1 0 1 -1 1 2 -1 4 0 -1 0 -2 2 0] [-2 -2 -2 1 -2 0 -1 0 -1 1 -2 0 0 0 0 0 4 0 -2 2 -1 2] [ 1 -1 1 1 -1 0 -1 0 2 0 -1 1 -1 -1 2 -1 0 4 0 1 0 -1] [ 1 1 2 -1 1 0 1 0 1 -1 1 0 1 0 0 0 -2 0 4 -2 1 -1] [-2 -2 -1 0 -1 -1 -2 1 -2 1 -2 1 -2 -2 1 -2 2 1 -2 6 -2 1] [ 2 2 0 -1 1 0 1 -1 2 -1 0 -2 2 1 0 2 -1 0 1 -2 6 -1] [-2 0 -2 1 -1 -1 0 0 -2 0 -1 0 1 0 0 0 2 -1 -1 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1182. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 -2 0 -1 0 -2 -1 1 0 -1 1 1 -2 2 -1 1 0 -2 0] [ 1 4 0 0 0 1 0 0 1 1 1 -1 -1 -1 0 1 -1 -1 2 1 -1 1] [ 2 0 4 0 -1 0 -1 1 -1 0 0 -1 1 0 1 -2 1 1 1 1 -1 1] [ 1 0 0 4 -2 0 1 -1 0 0 2 -1 -1 0 2 -1 2 -2 -1 0 -1 0] [-2 0 -1 -2 6 -2 -1 -1 2 2 -2 -1 -1 -2 -2 2 -1 3 0 -1 1 2] [ 0 1 0 0 -2 4 1 2 0 0 1 0 0 0 0 1 -1 -2 1 2 0 0] [-1 0 -1 1 -1 1 4 0 0 0 1 1 1 0 1 2 -1 -2 1 1 0 0] [ 0 0 1 -1 -1 2 0 4 0 1 1 0 1 1 0 -1 -1 1 0 0 1 0] [-2 1 -1 0 2 0 0 0 4 1 0 -2 0 -2 -1 1 -1 0 0 0 1 1] [-1 1 0 0 2 0 0 1 1 4 1 -1 0 0 0 1 -1 1 0 0 1 1] [ 1 1 0 2 -2 1 1 1 0 1 4 -1 0 1 2 0 1 -1 0 0 -1 0] [ 0 -1 -1 -1 -1 0 1 0 -2 -1 -1 4 0 2 -1 1 -1 -1 0 0 1 -1] [-1 -1 1 -1 -1 0 1 1 0 0 0 0 4 0 0 -1 -1 1 0 1 0 0] [ 1 -1 0 0 -2 0 0 1 -2 0 1 2 0 4 0 0 1 0 -1 -1 1 -2] [ 1 0 1 2 -2 0 1 0 -1 0 2 -1 0 0 4 -1 1 -1 0 0 -1 0] [-2 1 -2 -1 2 1 2 -1 1 1 0 1 -1 0 -1 6 -1 -1 1 1 1 1] [ 2 -1 1 2 -1 -1 -1 -1 -1 -1 1 -1 -1 1 1 -1 4 0 -1 -1 -1 0] [-1 -1 1 -2 3 -2 -2 1 0 1 -1 -1 1 0 -1 -1 0 6 -1 -1 1 1] [ 1 2 1 -1 0 1 1 0 0 0 0 0 0 -1 0 1 -1 -1 4 1 -1 1] [ 0 1 1 0 -1 2 1 0 0 0 0 0 1 -1 0 1 -1 -1 1 4 0 1] [-2 -1 -1 -1 1 0 0 1 1 1 -1 1 0 1 -1 1 -1 1 -1 0 4 -1] [ 0 1 1 0 2 0 0 0 1 1 0 -1 0 -2 0 1 0 1 1 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1183. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 -1 2 1 2 0 1 -1 1 -1 -1 1 -2 1 -2 -2 2 -1 -2] [ 1 4 -2 -2 -1 2 0 0 1 2 0 1 0 1 -1 -2 0 1 0 2 0 1] [-1 -2 4 1 2 -1 0 0 -1 -2 0 -1 -1 0 1 2 1 0 1 -1 0 -1] [-1 -2 1 6 2 0 2 1 1 -1 -1 -2 1 0 2 3 -1 2 0 -2 1 1] [-1 -1 2 2 6 -2 0 0 -2 -2 2 -3 2 1 2 0 0 -1 2 -3 -1 -2] [ 2 2 -1 0 -2 6 1 2 0 0 -2 0 -2 -1 0 -2 -1 0 -2 2 -1 0] [ 1 0 0 2 0 1 4 2 1 0 -2 0 1 -1 1 0 0 1 0 -1 1 -1] [ 2 0 0 1 0 2 2 4 -1 0 -1 0 -1 -2 2 0 0 -1 0 1 -1 -2] [ 0 1 -1 1 -2 0 1 -1 4 1 -1 1 0 1 -1 1 0 2 -1 1 2 2] [ 1 2 -2 -1 -2 0 0 0 1 4 -1 1 0 1 0 -1 1 1 0 2 0 2] [-1 0 0 -1 2 -2 -2 -1 -1 -1 4 -1 1 1 -1 0 0 -1 1 -1 0 -1] [ 1 1 -1 -2 -3 0 0 0 1 1 -1 4 -1 -1 -1 0 0 0 -1 2 1 1] [-1 0 -1 1 2 -2 1 -1 0 0 1 -1 4 1 0 0 0 1 1 -3 1 0] [-1 1 0 0 1 -1 -1 -2 1 1 1 -1 1 4 -1 0 0 2 1 -1 0 1] [ 1 -1 1 2 2 0 1 2 -1 0 -1 -1 0 -1 4 1 0 -1 0 0 -1 -1] [-2 -2 2 3 0 -2 0 0 1 -1 0 0 0 0 1 6 0 2 1 -1 2 1] [ 1 0 1 -1 0 -1 0 0 0 1 0 0 0 0 0 0 4 0 0 1 0 -1] [-2 1 0 2 -1 0 1 -1 2 1 -1 0 1 2 -1 2 0 6 1 0 2 3] [-2 0 1 0 2 -2 0 0 -1 0 1 -1 1 1 0 1 0 1 4 -2 0 0] [ 2 2 -1 -2 -3 2 -1 1 1 2 -1 2 -3 -1 0 -1 1 0 -2 6 0 1] [-1 0 0 1 -1 -1 1 -1 2 0 0 1 1 0 -1 2 0 2 0 0 4 1] [-2 1 -1 1 -2 0 -1 -2 2 2 -1 1 0 1 -1 1 -1 3 0 1 1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1184. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 2 0 0 0 -1 -1 1 2 1 -1 -1 1 -2 -1 1 -1 2 1 1] [ 2 4 -2 1 0 0 1 -1 0 0 0 0 -2 -1 -1 -2 -1 0 0 0 2 1] [-1 -2 6 -3 -1 1 1 -2 -1 -2 1 2 1 1 2 3 -1 1 2 1 -3 1] [ 2 1 -3 6 2 1 1 1 -1 1 1 -1 1 1 -1 -3 2 1 -1 1 0 1] [ 0 0 -1 2 4 2 0 0 -1 0 0 0 0 0 1 -1 0 0 1 0 1 1] [ 0 0 1 1 2 4 0 0 -2 0 0 0 0 0 2 1 0 0 2 0 -1 2] [ 0 1 1 1 0 0 4 -1 -1 -1 0 1 0 1 -1 0 0 0 0 1 0 1] [-1 -1 -2 1 0 0 -1 4 1 2 0 -2 1 1 0 -1 1 0 0 -1 0 -1] [-1 0 -1 -1 -1 -2 -1 1 4 1 0 -2 0 0 -2 0 1 1 -1 -1 0 -1] [ 1 0 -2 1 0 0 -1 2 1 4 0 -1 0 -1 0 0 1 1 -1 0 0 0] [ 2 0 1 1 0 0 0 0 0 0 4 1 0 0 2 -1 -1 1 0 2 0 1] [ 1 0 2 -1 0 0 1 -2 -2 -1 1 4 -1 0 2 1 -1 0 0 1 1 0] [-1 -2 1 1 0 0 0 1 0 0 0 -1 4 2 -1 1 1 1 0 1 -3 0] [-1 -1 1 1 0 0 1 1 0 -1 0 0 2 4 -1 0 1 1 0 0 -1 0] [ 1 -1 2 -1 1 2 -1 0 -2 0 2 2 -1 -1 6 0 -2 -1 2 1 0 0] [-2 -2 3 -3 -1 1 0 -1 0 0 -1 1 1 0 0 6 1 0 0 0 -2 1] [-1 -1 -1 2 0 0 0 1 1 1 -1 -1 1 1 -2 1 4 1 -1 -1 -1 0] [ 1 0 1 1 0 0 0 0 1 1 1 0 1 1 -1 0 1 4 0 1 -1 1] [-1 0 2 -1 1 2 0 0 -1 -1 0 0 0 0 2 0 -1 0 4 -1 -1 1] [ 2 0 1 1 0 0 1 -1 -1 0 2 1 1 0 1 0 -1 1 -1 4 0 1] [ 1 2 -3 0 1 -1 0 0 0 0 0 1 -3 -1 0 -2 -1 -1 -1 0 6 -1] [ 1 1 1 1 1 2 1 -1 -1 0 1 0 0 0 0 1 0 1 1 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1185. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 0 -2 -1 1 -2 0 1 -1 0 0 1 1 1 0 1 1 -1 -1] [-2 4 1 -1 -1 0 2 0 2 1 -2 1 -1 1 0 -1 1 -1 -1 -1 1 1] [ 0 1 4 0 1 -1 1 -1 -1 0 1 0 0 0 0 -1 1 0 -1 1 0 -1] [ 0 -1 0 4 2 0 -2 1 1 -2 2 -1 1 1 1 1 0 2 1 0 -1 -1] [ 0 -1 1 2 4 1 -2 -1 1 -1 2 -1 0 -1 1 1 1 0 -1 1 -1 -1] [-2 0 -1 0 1 4 -1 0 2 0 0 0 -1 0 -1 0 0 -1 -1 0 0 0] [-1 2 1 -2 -2 -1 4 0 -1 1 -1 1 -1 0 -1 -1 -1 0 0 -1 1 1] [ 1 0 -1 1 -1 0 0 4 0 -1 1 0 -1 2 0 0 0 1 2 -1 0 -1] [-2 2 -1 1 1 2 -1 0 6 1 -1 1 -1 1 1 1 0 -1 -1 0 1 0] [ 0 1 0 -2 -1 0 1 -1 1 4 -1 1 -1 -1 -1 -1 0 -2 -2 0 1 0] [ 1 -2 1 2 2 0 -1 1 -1 -1 6 -2 -1 1 1 -1 -1 2 1 -1 -2 -1] [-1 1 0 -1 -1 0 1 0 1 1 -2 4 -1 0 -2 0 0 0 0 1 1 -1] [ 0 -1 0 1 0 -1 -1 -1 -1 -1 -1 -1 4 -1 1 0 0 1 0 1 1 1] [ 0 1 0 1 -1 0 0 2 1 -1 1 0 -1 4 0 0 0 1 1 -1 0 0] [ 1 0 0 1 1 -1 -1 0 1 -1 1 -2 1 0 4 0 0 0 1 0 -1 1] [ 1 -1 -1 1 1 0 -1 0 1 -1 -1 0 0 0 0 4 1 0 0 1 0 0] [ 1 1 1 0 1 0 -1 0 0 0 -1 0 0 0 0 1 4 -1 -1 1 0 0] [ 0 -1 0 2 0 -1 0 1 -1 -2 2 0 1 1 0 0 -1 4 2 0 0 0] [ 1 -1 -1 1 -1 -1 0 2 -1 -2 1 0 0 1 1 0 -1 2 4 -1 -1 0] [ 1 -1 1 0 1 0 -1 -1 0 0 -1 1 1 -1 0 1 1 0 -1 4 1 -1] [-1 1 0 -1 -1 0 1 0 1 1 -2 1 1 0 -1 0 0 0 -1 1 4 0] [-1 1 -1 -1 -1 0 1 -1 0 0 -1 -1 1 0 1 0 0 0 0 -1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1186. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 1 1 -1 -1 0 0 1 2 1 1 2 1 -2 0 2 0 -1 -2] [-2 4 2 1 -1 -1 1 1 1 1 -1 -1 0 -2 -1 -1 2 1 -1 1 1 2] [-2 2 4 1 0 -1 0 2 0 0 -2 -1 0 -1 -2 -2 2 1 0 0 1 2] [ 0 1 1 4 -1 1 0 2 0 1 -1 1 -1 0 0 -2 -1 -1 -1 1 -1 -1] [ 1 -1 0 -1 4 0 -2 0 1 -1 1 0 -1 1 -1 0 1 0 1 -1 0 1] [ 1 -1 -1 1 0 4 -1 1 -1 -1 0 2 0 2 2 0 -1 0 1 1 -2 0] [-1 1 0 0 -2 -1 4 0 1 0 -1 0 0 -2 0 0 -1 -1 -1 1 1 1] [-1 1 2 2 0 1 0 4 0 0 -1 1 0 1 -1 -1 1 -1 0 0 -1 1] [ 0 1 0 0 1 -1 1 0 4 1 1 0 0 -2 0 1 0 -1 -1 0 0 1] [ 0 1 0 1 -1 -1 0 0 1 4 0 -1 1 -1 0 1 1 0 -1 1 -1 0] [ 1 -1 -2 -1 1 0 -1 -1 1 0 4 0 1 1 1 2 -1 0 0 -1 0 -2] [ 2 -1 -1 1 0 2 0 1 0 -1 0 4 0 1 2 0 -1 -1 1 1 -1 -1] [ 1 0 0 -1 -1 0 0 0 0 1 1 0 4 0 1 2 0 1 1 0 0 0] [ 1 -2 -1 0 1 2 -2 1 -2 -1 1 1 0 4 0 0 0 0 1 -1 -1 -1] [ 2 -1 -2 0 -1 2 0 -1 0 0 1 2 1 0 4 1 -2 0 1 1 -1 -2] [ 1 -1 -2 -2 0 0 0 -1 1 1 2 0 2 0 1 4 0 0 0 0 -1 0] [-2 2 2 -1 1 -1 -1 1 0 1 -1 -1 0 0 -2 0 6 2 -1 1 0 3] [ 0 1 1 -1 0 0 -1 -1 -1 0 0 -1 1 0 0 0 2 4 1 1 1 1] [ 2 -1 0 -1 1 1 -1 0 -1 -1 0 1 1 1 1 0 -1 1 4 -1 0 0] [ 0 1 0 1 -1 1 1 0 0 1 -1 1 0 -1 1 0 1 1 -1 4 0 1] [-1 1 1 -1 0 -2 1 -1 0 -1 0 -1 0 -1 -1 -1 0 1 0 0 4 0] [-2 2 2 -1 1 0 1 1 1 0 -2 -1 0 -1 -2 0 3 1 0 1 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1187. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 0 -1 -1 0 1 -2 -1 -1 1 2 -1 0 -2 2 2 -1 1 -1 0] [ 0 4 0 0 2 0 2 -1 1 -1 -1 2 0 2 1 -2 0 2 0 0 -2 2] [ 0 0 4 2 0 -2 -1 0 0 0 -1 -1 -1 0 0 1 0 0 -1 -1 1 1] [ 0 0 2 4 1 -2 -1 -1 0 1 1 -2 -2 0 1 1 -1 1 1 1 0 1] [-1 2 0 1 4 1 1 0 1 -1 1 0 -2 2 0 -1 -1 2 1 1 -2 2] [-1 0 -2 -2 1 4 0 1 0 -1 0 1 1 0 -1 0 0 -1 0 0 -1 0] [ 0 2 -1 -1 1 0 4 -1 1 0 -1 2 0 2 0 -2 1 0 1 -1 -2 1] [ 1 -1 0 -1 0 1 -1 4 -2 -2 0 -1 0 -1 -2 0 1 1 -1 0 1 0] [-2 1 0 0 1 0 1 -2 4 0 0 0 -1 2 0 1 -2 -1 0 0 0 1] [-1 -1 0 1 -1 -1 0 -2 0 4 1 0 -1 0 1 0 -1 -1 2 0 1 -1] [-1 -1 -1 1 1 0 -1 0 0 1 4 -2 -1 0 1 0 -1 0 1 2 0 -1] [ 1 2 -1 -2 0 1 2 -1 0 0 -2 6 3 0 -1 -1 2 0 0 -1 -3 0] [ 2 0 -1 -2 -2 1 0 0 -1 -1 -1 3 6 -2 0 -1 2 -2 -1 0 -2 -2] [-1 2 0 0 2 0 2 -1 2 0 0 0 -2 4 0 -1 -1 1 0 0 0 2] [ 0 1 0 1 0 -1 0 -2 0 1 1 -1 0 0 4 -2 -1 0 1 1 -1 0] [-2 -2 1 1 -1 0 -2 0 1 0 0 -1 -1 -1 -2 6 0 -2 -1 -1 2 0] [ 2 0 0 -1 -1 0 1 1 -2 -1 -1 2 2 -1 -1 0 4 0 -1 -1 -1 0] [ 2 2 0 1 2 -1 0 1 -1 -1 0 0 -2 1 0 -2 0 6 0 2 0 2] [-1 0 -1 1 1 0 1 -1 0 2 1 0 -1 0 1 -1 -1 0 4 0 -1 0] [ 1 0 -1 1 1 0 -1 0 0 0 2 -1 0 0 1 -1 -1 2 0 4 0 0] [-1 -2 1 0 -2 -1 -2 1 0 1 0 -3 -2 0 -1 2 -1 0 -1 0 6 -1] [ 0 2 1 1 2 0 1 0 1 -1 -1 0 -2 2 0 0 0 2 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1188. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 0 1 2 -2 -1 -2 -2 1 1 0 -2 -1 1 0 -1 1 1 1 -1 0] [ 2 6 1 2 0 0 0 -3 -2 1 0 -1 -1 0 -1 2 1 1 2 -2 1 1] [ 0 1 4 -1 -1 1 2 -1 1 2 1 -1 -1 2 1 0 0 1 -1 -2 -1 2] [ 1 2 -1 4 0 0 0 -1 0 0 0 -1 0 0 -2 0 -1 1 1 -1 0 0] [ 2 0 -1 0 4 -2 -1 -1 -1 1 0 1 -1 -1 2 -1 -1 1 0 1 -1 0] [-2 0 1 0 -2 4 2 1 2 -1 -1 0 1 1 -1 1 1 -1 -1 -1 1 1] [-1 0 2 0 -1 2 4 -1 1 1 1 0 -1 2 1 -1 -1 1 -2 -2 -1 2] [-2 -3 -1 -1 -1 1 -1 4 1 -2 -1 0 2 -1 -1 0 0 -1 0 1 1 -1] [-2 -2 1 0 -1 2 1 1 4 0 0 0 1 1 -1 0 0 0 -1 -1 0 1] [ 1 1 2 0 1 -1 1 -2 0 4 1 0 -1 1 1 0 -1 1 -1 -2 -1 1] [ 1 0 1 0 0 -1 1 -1 0 1 4 -1 -1 1 0 -1 0 2 0 -1 -2 1] [ 0 -1 -1 -1 1 0 0 0 0 0 -1 4 1 -1 1 0 0 0 0 0 0 -1] [-2 -1 -1 0 -1 1 -1 2 1 -1 -1 1 4 0 -1 1 1 -1 0 -1 1 -1] [-1 0 2 0 -1 1 2 -1 1 1 1 -1 0 4 0 -1 0 0 -2 -2 -1 2] [ 1 -1 1 -2 2 -1 1 -1 -1 1 0 1 -1 0 6 -2 -1 0 -2 0 -2 1] [ 0 2 0 0 -1 1 -1 0 0 0 -1 0 1 -1 -2 4 2 -1 1 0 2 0] [-1 1 0 -1 -1 1 -1 0 0 -1 0 0 1 0 -1 2 4 -1 1 0 1 0] [ 1 1 1 1 1 -1 1 -1 0 1 2 0 -1 0 0 -1 -1 4 1 -1 -1 1] [ 1 2 -1 1 0 -1 -2 0 -1 -1 0 0 0 -2 -2 1 1 1 4 0 1 -1] [ 1 -2 -2 -1 1 -1 -2 1 -1 -2 -1 0 -1 -2 0 0 0 -1 0 6 1 -2] [-1 1 -1 0 -1 1 -1 1 0 -1 -2 0 1 -1 -2 2 1 -1 1 1 4 -1] [ 0 1 2 0 0 1 2 -1 1 1 1 -1 -1 2 1 0 0 1 -1 -2 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1189. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 0 -1 2 -2 -1 2 -2 -2 1 -1 2 0 -1 1 2] [ 1 4 -1 -2 -1 2 -1 1 0 0 1 1 -1 -1 -1 -1 0 0 -1 1 1 2] [-1 -1 4 0 0 0 1 1 2 -1 -1 0 1 0 0 0 -1 -1 2 0 -1 1] [-1 -2 0 4 0 -2 1 -2 1 -1 -1 1 1 2 0 0 0 -1 1 0 -1 -1] [ 1 -1 0 0 4 -1 2 0 -1 1 -2 -2 2 0 0 1 -1 2 1 0 1 0] [ 1 2 0 -2 -1 4 0 1 0 0 1 1 -1 -1 0 -1 -1 0 0 0 1 2] [ 2 -1 1 1 2 0 6 0 0 2 -4 0 4 -1 -1 2 0 1 3 -2 -1 1] [ 0 1 1 -2 0 1 0 4 1 0 1 0 1 -2 1 -1 1 -1 1 0 0 2] [-1 0 2 1 -1 0 0 1 4 -2 1 1 1 0 0 -1 0 -2 1 1 -1 2] [ 2 0 -1 -1 1 0 2 0 -2 4 -1 -1 2 -2 -1 2 1 1 0 -1 1 -1] [-2 1 -1 -1 -2 1 -4 1 1 -1 6 1 -3 0 2 -1 1 -2 -2 2 1 -1] [-1 1 0 1 -2 1 0 0 1 -1 1 4 -1 1 0 -1 1 -1 1 1 -1 0] [ 2 -1 1 1 2 -1 4 1 1 2 -3 -1 6 -2 -1 1 0 0 2 -1 0 2] [-2 -1 0 2 0 -1 -1 -2 0 -2 0 1 -2 4 1 0 0 0 0 1 -1 -2] [-2 -1 0 0 0 0 -1 1 0 -1 2 0 -1 1 4 -1 1 -1 0 1 -1 -1] [ 1 -1 0 0 1 -1 2 -1 -1 2 -1 -1 1 0 -1 4 1 1 0 -1 0 -1] [-1 0 -1 0 -1 -1 0 1 0 1 1 1 0 0 1 1 4 -1 0 0 -1 -1] [ 2 0 -1 -1 2 0 1 -1 -2 1 -2 -1 0 0 -1 1 -1 4 0 0 1 0] [ 0 -1 2 1 1 0 3 1 1 0 -2 1 2 0 0 0 0 0 4 -1 -1 1] [-1 1 0 0 0 0 -2 0 1 -1 2 1 -1 1 1 -1 0 0 -1 4 1 0] [ 1 1 -1 -1 1 1 -1 0 -1 1 1 -1 0 -1 -1 0 -1 1 -1 1 4 0] [ 2 2 1 -1 0 2 1 2 2 -1 -1 0 2 -2 -1 -1 -1 0 1 0 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1190. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 1 -1 0 0 0 -1 1 -1 2 1 1 0 2 0 -2 -2 -2 1] [-2 4 -2 1 -1 1 0 1 0 1 -2 -1 -1 0 -1 1 -2 1 2 1 0 -1] [ 2 -2 4 -1 0 -1 -1 -1 0 -1 0 0 2 0 0 0 1 0 -2 -2 -1 1] [ 0 1 -1 4 -1 2 0 0 0 2 0 -1 -2 1 1 0 1 2 -1 2 -2 1] [ 1 -1 0 -1 4 0 0 1 0 0 1 1 0 1 0 1 -1 0 1 0 1 0] [-1 1 -1 2 0 4 -1 0 -1 2 -1 1 -2 0 1 -1 0 1 -1 1 -1 -1] [ 0 0 -1 0 0 -1 4 -1 -1 0 1 0 0 1 -1 -1 1 -1 0 -1 -1 1] [ 0 1 -1 0 1 0 -1 4 0 0 1 0 0 1 -1 2 0 0 2 0 0 0] [ 0 0 0 0 0 -1 -1 0 4 1 -1 -2 0 -1 1 0 0 0 2 2 2 -1] [-1 1 -1 2 0 2 0 0 1 4 0 0 -2 1 0 -1 0 1 0 2 0 0] [ 1 -2 0 0 1 -1 1 1 -1 0 4 1 0 1 -1 0 1 0 -1 0 -1 2] [-1 -1 0 -1 1 1 0 0 -2 0 1 4 0 0 -1 0 -1 0 0 -1 1 0] [ 2 -1 2 -2 0 -2 0 0 0 -2 0 0 4 0 0 1 0 -1 0 -3 0 0] [ 1 0 0 1 1 0 1 1 -1 1 1 0 0 4 0 1 0 1 0 0 -1 2] [ 1 -1 0 1 0 1 -1 -1 1 0 -1 -1 0 0 4 0 1 0 -1 1 0 0] [ 0 1 0 0 1 -1 -1 2 0 -1 0 0 1 1 0 4 -2 1 2 0 1 1] [ 2 -2 1 1 -1 0 1 0 0 0 1 -1 0 0 1 -2 6 -2 -2 -1 -3 1] [ 0 1 0 2 0 1 -1 0 0 1 0 0 -1 1 0 1 -2 4 0 2 0 1] [-2 2 -2 -1 1 -1 0 2 2 0 -1 0 0 0 -1 2 -2 0 6 1 3 -1] [-2 1 -2 2 0 1 -1 0 2 2 0 -1 -3 0 1 0 -1 2 1 6 2 0] [-2 0 -1 -2 1 -1 -1 0 2 0 -1 1 0 -1 0 1 -3 0 3 2 6 -2] [ 1 -1 1 1 0 -1 1 0 -1 0 2 0 0 2 0 1 1 1 -1 0 -2 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1191. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 -1 0 0 -2 1 -1 1 0 1 1 1 0 -1 1 -2 -1 0] [ 1 4 0 0 0 1 -1 1 1 -1 -1 1 1 1 0 0 -1 1 2 1 -1 -1] [ 2 0 4 -2 0 0 -1 -1 -1 2 0 1 1 -1 1 0 0 -1 0 -1 0 -1] [-2 0 -2 4 -1 1 -1 0 1 -1 0 -1 0 0 -1 -1 -1 1 0 1 0 1] [ 1 0 0 -1 4 0 2 -1 -2 0 0 1 1 1 2 1 -1 -2 -1 -2 -1 0] [-1 1 0 1 0 4 -2 0 2 0 -1 -1 0 0 0 0 0 0 0 2 1 0] [ 0 -1 -1 -1 2 -2 6 0 0 0 1 2 -1 -1 0 -1 -1 -2 -2 0 -1 1] [ 0 1 -1 0 -1 0 0 4 0 -1 -1 -1 0 0 0 -1 1 2 0 0 -1 0] [-2 1 -1 1 -2 2 0 0 6 0 -1 -1 -2 0 -3 -1 -1 0 0 4 1 1] [ 1 -1 2 -1 0 0 0 -1 0 4 1 0 -1 -1 1 -1 -1 -2 0 -1 1 1] [-1 -1 0 0 0 -1 1 -1 -1 1 4 0 1 -2 0 0 -1 0 -1 -1 0 -1] [ 1 1 1 -1 1 -1 2 -1 -1 0 0 4 1 0 1 0 -1 -1 1 0 -1 0] [ 0 1 1 0 1 0 -1 0 -2 -1 1 1 4 0 1 1 -1 1 0 -1 -1 -2] [ 1 1 -1 0 1 0 -1 0 0 -1 -2 0 0 4 0 2 0 0 1 -1 0 1] [ 1 0 1 -1 2 0 0 0 -3 1 0 1 1 0 4 0 0 -1 0 -2 0 0] [ 1 0 0 -1 1 0 -1 -1 -1 -1 0 0 1 2 0 4 1 0 0 -1 0 0] [ 0 -1 0 -1 -1 0 -1 1 -1 -1 -1 -1 -1 0 0 1 4 1 0 0 1 0] [-1 1 -1 1 -2 0 -2 2 0 -2 0 -1 1 0 -1 0 1 4 1 1 0 -1] [ 1 2 0 0 -1 0 -2 0 0 0 -1 1 0 1 0 0 0 1 4 0 0 0] [-2 1 -1 1 -2 2 0 0 4 -1 -1 0 -1 -1 -2 -1 0 1 0 6 2 0] [-1 -1 0 0 -1 1 -1 -1 1 1 0 -1 -1 0 0 0 1 0 0 2 4 0] [ 0 -1 -1 1 0 0 1 0 1 1 -1 0 -2 1 0 0 0 -1 0 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1192. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 2 -1 0 2 1 -1 1 2 -1 2 1 1 0 -1 2 1 -2 1] [ 1 4 0 0 1 1 0 1 1 -1 1 -1 -1 1 0 0 -1 0 1 0 0 -1] [-1 0 4 -2 0 1 0 -2 1 1 -1 -2 0 0 0 1 -1 2 -2 -1 2 -1] [ 1 0 -2 4 1 -1 0 1 0 -2 2 2 1 0 0 0 0 -2 2 2 0 0] [ 2 1 0 1 4 1 0 2 1 0 2 1 1 2 0 2 -1 0 0 1 0 0] [-1 1 1 -1 1 4 -1 -1 0 1 0 0 1 0 0 1 -2 0 0 -1 0 0] [ 0 0 0 0 0 -1 4 1 1 -1 1 -2 1 1 -2 1 2 1 1 -1 1 0] [ 2 1 -2 1 2 -1 1 6 2 -1 1 2 1 2 1 1 1 -1 1 1 -2 -1] [ 1 1 1 0 1 0 1 2 4 -1 0 0 0 2 0 1 1 1 1 -1 1 -1] [-1 -1 1 -2 0 1 -1 -1 -1 4 0 0 0 -1 1 0 0 1 -3 -1 0 0] [ 1 1 -1 2 2 0 1 1 0 0 4 1 1 1 -1 1 0 -1 1 1 0 0] [ 2 -1 -2 2 1 0 -2 2 0 0 1 6 1 1 2 1 -1 -3 2 2 -3 0] [-1 -1 0 1 1 1 1 1 0 0 1 1 4 0 0 1 0 0 0 1 1 0] [ 2 1 0 0 2 0 1 2 2 -1 1 1 0 4 -1 2 0 0 1 0 0 0] [ 1 0 0 0 0 0 -2 1 0 1 -1 2 0 -1 4 -1 -1 -1 0 1 -2 0] [ 1 0 1 0 2 1 1 1 1 0 1 1 1 2 -1 4 0 0 0 0 0 0] [ 0 -1 -1 0 -1 -2 2 1 1 0 0 -1 0 0 -1 0 4 1 0 -1 1 1] [-1 0 2 -2 0 0 1 -1 1 1 -1 -3 0 0 -1 0 1 4 -2 -1 3 0] [ 2 1 -2 2 0 0 1 1 1 -3 1 2 0 1 0 0 0 -2 6 0 -2 1] [ 1 0 -1 2 1 -1 -1 1 -1 -1 1 2 1 0 1 0 -1 -1 0 4 0 0] [-2 0 2 0 0 0 1 -2 1 0 0 -3 1 0 -2 0 1 3 -2 0 6 -1] [ 1 -1 -1 0 0 0 0 -1 -1 0 0 0 0 0 0 0 1 0 1 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1193. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 1 2 0 1 0 -1 -1 2 -2 1 0 -1 -1 1 1 -1 2] [ 1 4 -1 -2 -1 0 1 -1 2 1 -2 0 1 1 -1 0 0 -2 0 2 1 1] [-1 -1 4 0 0 1 0 2 0 1 0 -1 0 -1 0 0 -1 0 -2 0 0 0] [-1 -2 0 4 0 0 -1 -1 -2 0 1 0 -2 -1 1 1 1 0 0 -2 1 -2] [ 1 -1 0 0 4 0 1 -1 -1 -2 0 0 2 -2 2 1 -2 -1 -1 -1 0 0] [ 1 0 1 0 0 4 1 2 0 1 -1 -2 2 0 0 1 0 0 0 0 0 2] [ 2 1 0 -1 1 1 4 1 1 1 0 0 1 0 1 -1 -2 -1 0 1 -1 0] [ 0 -1 2 -1 -1 2 1 6 0 1 1 0 -1 2 0 -1 0 1 -1 0 -1 1] [ 1 2 0 -2 -1 0 1 0 4 0 0 0 0 1 -2 0 -1 -1 0 2 0 2] [ 0 1 1 0 -2 1 1 1 0 4 0 0 0 1 0 -1 1 0 1 1 0 -1] [-1 -2 0 1 0 -1 0 1 0 0 4 1 -2 1 0 0 0 1 0 -1 0 -1] [-1 0 -1 0 0 -2 0 0 0 0 1 4 -1 2 0 -1 1 0 0 -1 0 -1] [ 2 1 0 -2 2 2 1 -1 0 0 -2 -1 6 -2 0 0 -1 0 0 1 -1 3] [-2 1 -1 -1 -2 0 0 2 1 1 1 2 -2 6 -2 0 2 1 0 0 1 -1] [ 1 -1 0 1 2 0 1 0 -2 0 0 0 0 -2 4 0 -1 -1 0 -1 0 -1] [ 0 0 0 1 1 1 -1 -1 0 -1 0 -1 0 0 0 4 1 -1 -1 -1 2 1] [-1 0 -1 1 -2 0 -2 0 -1 1 0 1 -1 2 -1 1 4 1 1 -1 1 0] [-1 -2 0 0 -1 0 -1 1 -1 0 1 0 0 1 -1 -1 1 4 1 0 -1 0] [ 1 0 -2 0 -1 0 0 -1 0 1 0 0 0 0 0 -1 1 1 4 0 -1 0] [ 1 2 0 -2 -1 0 1 0 2 1 -1 -1 1 0 -1 -1 -1 0 0 4 0 1] [-1 1 0 1 0 0 -1 -1 0 0 0 0 -1 1 0 2 1 -1 -1 0 4 -1] [ 2 1 0 -2 0 2 0 1 2 -1 -1 -1 3 -1 -1 1 0 0 0 1 -1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1194. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 -1 1 2 0 2 0 2 1 1 -1 2 -2 0 -1 0 1 -1 0] [ 1 4 -2 2 -2 0 0 1 -1 -1 1 -1 0 -1 0 1 1 1 0 -1 0 0] [-1 -2 4 -1 1 0 0 0 1 0 -1 -1 0 0 0 1 -1 1 0 -1 0 1] [ 2 2 -1 8 1 2 1 -2 0 -2 4 -1 1 2 1 -3 -1 3 -1 3 2 -3] [-1 -2 1 1 6 2 1 0 -1 1 0 2 -1 2 1 -1 -3 -1 1 2 1 1] [ 1 0 0 2 2 4 2 -1 -1 -1 2 0 -1 0 1 -1 -2 1 -1 0 1 -1] [ 2 0 0 1 1 2 4 1 1 1 1 0 1 0 2 -2 -1 -1 1 0 -1 1] [ 0 1 0 -2 0 -1 1 4 0 2 -2 0 1 -1 0 1 1 -2 2 -1 -1 2] [ 2 -1 1 0 -1 -1 1 0 4 1 0 1 2 0 1 -1 0 -1 1 1 -1 1] [ 0 -1 0 -2 1 -1 1 2 1 4 -2 2 1 1 1 -1 0 -3 2 1 -1 2] [ 2 1 -1 4 0 2 1 -2 0 -2 6 1 0 0 2 -3 0 3 0 2 0 -2] [ 1 -1 -1 -1 2 0 0 0 1 2 1 6 -1 1 1 -1 0 -2 1 3 -1 2] [ 1 0 0 1 -1 -1 1 1 2 1 0 -1 4 1 1 -1 1 -1 1 1 -1 -1] [-1 -1 0 2 2 0 0 -1 0 1 0 1 1 4 0 -1 -1 0 0 2 1 -1] [ 2 0 0 1 1 1 2 0 1 1 2 1 1 0 4 -2 -1 -1 1 1 -1 1] [-2 1 1 -3 -1 -1 -2 1 -1 -1 -3 -1 -1 -1 -2 6 1 0 -1 -3 0 2] [ 0 1 -1 -1 -3 -2 -1 1 0 0 0 0 1 -1 -1 1 4 0 0 0 -1 0] [-1 1 1 3 -1 1 -1 -2 -1 -3 3 -2 -1 0 -1 0 0 6 -1 0 2 -2] [ 0 0 0 -1 1 -1 1 2 1 2 0 1 1 0 1 -1 0 -1 4 0 -1 2] [ 1 -1 -1 3 2 0 0 -1 1 1 2 3 1 2 1 -3 0 0 0 6 1 -1] [-1 0 0 2 1 1 -1 -1 -1 -1 0 -1 -1 1 -1 0 -1 2 -1 1 4 -2] [ 0 0 1 -3 1 -1 1 2 1 2 -2 2 -1 -1 1 2 0 -2 2 -1 -2 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1195. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 1 1 2 -1 -2 -1 1 1 0 1 1 0 0 -1 -1 1 0 -1 2] [-2 4 1 0 1 -1 2 2 0 -1 1 0 1 0 0 0 0 -1 -1 -1 0 0] [-1 1 6 2 2 0 -1 1 0 2 -1 2 1 2 -1 -2 1 1 -2 -3 -2 -3] [ 1 0 2 6 2 2 -2 1 -1 -1 -1 0 0 -1 0 -2 1 -2 0 0 1 1] [ 1 1 2 2 6 1 1 0 1 2 -1 2 2 1 1 -2 1 1 0 -3 1 -1] [ 2 -1 0 2 1 6 -3 -1 -2 -2 0 2 0 1 -2 -2 -2 -3 2 -1 1 2] [-1 2 -1 -2 1 -3 6 0 2 2 0 -1 0 0 1 1 2 0 0 1 -1 0] [-2 2 1 1 0 -1 0 4 1 -2 1 0 0 -1 0 0 0 0 0 -1 1 -1] [-1 0 0 -1 1 -2 2 1 4 2 0 0 -1 0 0 1 1 2 1 -1 0 -1] [ 1 -1 2 -1 2 -2 2 -2 2 6 -1 0 1 2 0 0 2 3 -1 -1 -2 -2] [ 1 1 -1 -1 -1 0 0 1 0 -1 4 0 1 1 0 1 -2 -1 1 0 -1 2] [ 0 0 2 0 2 2 -1 0 0 0 0 4 1 2 -1 -1 -1 0 1 -2 0 -1] [ 1 1 1 0 2 0 0 0 -1 1 1 1 4 2 1 0 0 0 -1 -1 -1 -1] [ 1 0 2 -1 1 1 0 -1 0 2 1 2 2 4 -1 0 -1 0 0 -2 -2 -1] [ 0 0 -1 0 1 -2 1 0 0 0 0 -1 1 -1 4 0 1 1 -1 1 1 0] [ 0 0 -2 -2 -2 -2 1 0 1 0 1 -1 0 0 0 4 0 0 0 1 -1 1] [-1 0 1 1 1 -2 2 0 1 2 -2 -1 0 -1 1 0 4 1 -1 1 0 -1] [-1 -1 1 -2 1 -3 0 0 2 3 -1 0 0 0 1 0 1 6 -1 -1 1 -3] [ 1 -1 -2 0 0 2 0 0 1 -1 1 1 -1 0 -1 0 -1 -1 4 0 1 2] [ 0 -1 -3 0 -3 -1 1 -1 -1 -1 0 -2 -1 -2 1 1 1 -1 0 6 1 2] [-1 0 -2 1 1 1 -1 1 0 -2 -1 0 -1 -2 1 -1 0 1 1 1 6 0] [ 2 0 -3 1 -1 2 0 -1 -1 -2 2 -1 -1 -1 0 1 -1 -3 2 2 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1196. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 1 0 1 1 -1 0 -1 -1 -2 2 -2 2 1 -1 0 1 2] [-2 4 2 1 1 1 0 1 0 0 0 -1 0 2 0 2 -1 -1 -1 0 -1 0] [-2 2 4 1 1 0 0 1 -1 0 1 -1 -1 2 -1 1 -2 -1 -1 -1 -1 -1] [ 0 1 1 4 -1 2 0 2 1 -2 -1 -2 0 2 1 -1 0 -2 -2 0 1 2] [-1 1 1 -1 6 -3 -2 2 -2 3 -2 1 -1 2 1 -1 -1 1 -2 -1 -2 1] [ 1 1 0 2 -3 6 2 -1 0 -2 0 -2 0 0 -1 -1 1 -2 -2 2 2 2] [ 0 0 0 0 -2 2 4 0 0 0 1 0 -1 0 -2 -1 -1 -1 1 0 0 -1] [ 1 1 1 2 2 -1 0 6 1 0 -1 -2 -1 1 2 -2 0 0 -1 -2 -1 1] [ 1 0 -1 1 -2 0 0 1 4 -1 1 0 1 -1 2 1 1 1 0 0 0 0] [-1 0 0 -2 3 -2 0 0 -1 4 -1 2 0 1 -1 0 -1 1 0 0 -2 -1] [ 0 0 1 -1 -2 0 1 -1 1 -1 4 0 0 -2 -1 2 0 0 1 -1 0 -2] [-1 -1 -1 -2 1 -2 0 -2 0 2 0 4 1 0 -1 0 -1 1 1 1 -1 -1] [-1 0 -1 0 -1 0 -1 -1 1 0 0 1 4 -1 -1 1 1 0 1 1 1 0] [-2 2 2 2 2 0 0 1 -1 1 -2 0 -1 6 -1 0 -3 -2 -2 1 -2 1] [ 2 0 -1 1 1 -1 -2 2 2 -1 -1 -1 -1 -1 6 0 1 1 -2 -1 0 1] [-2 2 1 -1 -1 -1 -1 -2 1 0 2 0 1 0 0 6 0 0 1 0 -1 -2] [ 2 -1 -2 0 -1 1 -1 0 1 -1 0 -1 1 -3 1 0 4 1 0 0 2 2] [ 1 -1 -1 -2 1 -2 -1 0 1 1 0 1 0 -2 1 0 1 4 1 0 0 0] [-1 -1 -1 -2 -2 -2 1 -1 0 0 1 1 1 -2 -2 1 0 1 6 -1 0 -3] [ 0 0 -1 0 -1 2 0 -2 0 0 -1 1 1 1 -1 0 0 0 -1 4 1 1] [ 1 -1 -1 1 -2 2 0 -1 0 -2 0 -1 1 -2 0 -1 2 0 0 1 4 1] [ 2 0 -1 2 1 2 -1 1 0 -1 -2 -1 0 1 1 -2 2 0 -3 1 1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1197. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 -1 2 1 -2 -1 1 1 -2 -1 1 1 2 -2 1 2 -1 -2] [-2 4 2 1 1 2 -1 -1 1 1 0 -1 2 1 -1 -1 -1 2 -1 -2 0 2] [-2 2 4 1 2 2 -2 -1 1 1 0 0 0 0 -2 -1 -2 2 -1 0 0 1] [ 0 1 1 4 2 2 0 1 -1 -1 -1 -1 -1 -1 -1 1 0 1 -1 -1 1 2] [-1 1 2 2 4 1 -1 1 -1 -1 0 0 0 0 -1 1 -1 1 -2 0 0 2] [-1 2 2 2 1 4 0 0 0 1 -1 0 1 -1 -1 -1 0 1 -1 0 1 1] [ 2 -1 -2 0 -1 0 4 1 -1 0 1 1 -1 -1 2 0 1 -1 1 0 -1 -2] [ 1 -1 -1 1 1 0 1 4 -2 -2 1 0 -1 0 0 1 2 -2 0 0 1 1] [-2 1 1 -1 -1 0 -1 -2 4 1 -1 -1 1 0 -1 -2 -1 1 0 -1 0 -1] [-1 1 1 -1 -1 1 0 -2 1 4 -1 1 0 1 0 -2 -1 1 1 -1 0 -1] [ 1 0 0 -1 0 -1 1 1 -1 -1 4 0 -1 1 0 1 0 0 1 0 -2 -1] [ 1 -1 0 -1 0 0 1 0 -1 1 0 4 -1 0 1 0 0 -1 1 1 0 -2] [-2 2 0 -1 0 1 -1 -1 1 0 -1 -1 6 0 0 0 0 1 -1 -1 1 1] [-1 1 0 -1 0 -1 -1 0 0 1 1 0 0 4 -1 0 -1 0 0 -2 0 1] [ 1 -1 -2 -1 -1 -1 2 0 -1 0 0 1 0 -1 4 0 0 -1 0 0 -1 -1] [ 1 -1 -1 1 1 -1 0 1 -2 -2 1 0 0 0 0 4 1 0 0 0 0 1] [ 2 -1 -2 0 -1 0 1 2 -1 -1 0 0 0 -1 0 1 4 -2 1 1 1 0] [-2 2 2 1 1 1 -1 -2 1 1 0 -1 1 0 -1 0 -2 4 0 -1 0 1] [ 1 -1 -1 -1 -2 -1 1 0 0 1 1 1 -1 0 0 0 1 0 4 -1 0 -2] [ 2 -2 0 -1 0 0 0 0 -1 -1 0 1 -1 -2 0 0 1 -1 -1 6 0 -1] [-1 0 0 1 0 1 -1 1 0 0 -2 0 1 0 -1 0 1 0 0 0 4 1] [-2 2 1 2 2 1 -2 1 -1 -1 -1 -2 1 1 -1 1 0 1 -2 -1 1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1198. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -1 -2 1 1 -2 -2 -1 0 -1 0 1 1 0 -1 2 1 0 -1 1 1] [ 2 4 -2 -1 0 0 -2 -1 0 -1 -1 -1 1 2 0 0 1 1 0 -2 2 1] [-1 -2 6 2 0 0 1 1 0 2 2 3 -2 -3 -1 2 0 -2 -2 3 -2 2] [-2 -1 2 6 0 -2 1 3 2 1 -1 1 -2 1 -2 0 -1 -2 -1 -1 -1 0] [ 1 0 0 0 4 0 0 0 1 1 -2 1 0 2 1 0 -1 0 1 1 1 0] [ 1 0 0 -2 0 4 -1 -2 0 -1 -1 -1 2 -1 0 1 2 2 -1 1 0 0] [-2 -2 1 1 0 -1 4 0 1 0 0 1 -1 -2 0 0 -2 -1 0 0 -1 0] [-2 -1 1 3 0 -2 0 4 0 1 0 1 -1 1 -1 0 -1 -2 0 0 -1 0] [-1 0 0 2 1 0 1 0 4 0 -1 -1 0 0 0 0 -1 0 -1 -1 0 0] [ 0 -1 2 1 1 -1 0 1 0 4 2 1 0 -1 -1 1 0 0 -1 1 0 0] [-1 -1 2 -1 -2 -1 0 0 -1 2 6 0 -1 -3 0 1 0 0 0 2 0 0] [ 0 -1 3 1 1 -1 1 1 -1 1 0 4 -2 -1 0 1 0 -2 0 2 -1 1] [ 1 1 -2 -2 0 2 -1 -1 0 0 -1 -2 4 0 0 0 1 2 -1 -1 1 0] [ 1 2 -3 1 2 -1 -2 1 0 -1 -3 -1 0 6 0 -1 -1 0 2 -2 2 -1] [ 0 0 -1 -2 1 0 0 -1 0 -1 0 0 0 0 4 -1 -1 1 1 1 1 -1] [-1 0 2 0 0 1 0 0 0 1 1 1 0 -1 -1 4 1 0 -1 2 0 1] [ 2 1 0 -1 -1 2 -2 -1 -1 0 0 0 1 -1 -1 1 4 1 -1 0 0 1] [ 1 1 -2 -2 0 2 -1 -2 0 0 0 -2 2 0 1 0 1 4 0 0 2 -1] [ 0 0 -2 -1 1 -1 0 0 -1 -1 0 0 -1 2 1 -1 -1 0 4 0 1 -1] [-1 -2 3 -1 1 1 0 0 -1 1 2 2 -1 -2 1 2 0 0 0 6 0 0] [ 1 2 -2 -1 1 0 -1 -1 0 0 0 -1 1 2 1 0 0 2 1 0 4 -1] [ 1 1 2 0 0 0 0 0 0 0 0 1 0 -1 -1 1 1 -1 -1 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1199. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 2 0 1 -2 2 -2 1 1 1 1 0 0 -1 -2 0 -2 -1 -1] [-2 4 -2 -1 -2 -1 0 2 -2 1 -1 0 1 -1 1 1 -1 2 -1 0 0 0] [ 2 -2 4 0 2 -1 0 -1 2 -2 1 -1 0 1 -1 0 -1 -2 1 -2 1 -1] [ 1 -1 0 6 -2 1 -2 -1 -1 0 0 1 -1 -2 2 -2 0 -1 -1 -2 0 -2] [ 2 -2 2 -2 6 1 2 -1 3 -2 2 0 0 3 -1 2 -1 -2 1 0 0 0] [ 0 -1 -1 1 1 4 1 0 0 1 1 0 -1 0 0 0 1 -1 1 0 -1 0] [ 1 0 0 -2 2 1 4 -1 1 -1 1 0 0 2 -1 2 -1 0 1 -1 -1 0] [-2 2 -1 -1 -1 0 -1 4 -2 1 0 -1 1 -1 0 0 0 1 0 1 0 1] [ 2 -2 2 -1 3 0 1 -2 4 -2 1 0 0 2 -1 1 0 -2 0 0 0 0] [-2 1 -2 0 -2 1 -1 1 -2 4 0 0 0 -1 1 0 2 1 1 2 0 0] [ 1 -1 1 0 2 1 1 0 1 0 4 -1 1 2 -1 1 1 -2 0 -1 -1 -1] [ 1 0 -1 1 0 0 0 -1 0 0 -1 4 -1 0 0 0 0 1 0 1 -1 -1] [ 1 1 0 -1 0 -1 0 1 0 0 1 -1 4 0 1 0 0 0 -1 0 0 1] [ 1 -1 1 -2 3 0 2 -1 2 -1 2 0 0 4 -2 2 0 -1 0 0 0 0] [ 0 1 -1 2 -1 0 -1 0 -1 1 -1 0 1 -2 4 -1 -1 0 0 0 0 0] [ 0 1 0 -2 2 0 2 0 1 0 1 0 0 2 -1 4 0 0 0 0 0 0] [-1 -1 -1 0 -1 1 -1 0 0 2 1 0 0 0 -1 0 4 0 0 2 0 1] [-2 2 -2 -1 -2 -1 0 1 -2 1 -2 1 0 -1 0 0 0 4 0 2 1 1] [ 0 -1 1 -1 1 1 1 0 0 1 0 0 -1 0 0 0 0 0 4 0 0 0] [-2 0 -2 -2 0 0 -1 1 0 2 -1 1 0 0 0 0 2 2 0 6 1 2] [-1 0 1 0 0 -1 -1 0 0 0 -1 -1 0 0 0 0 0 1 0 1 4 0] [-1 0 -1 -2 0 0 0 1 0 0 -1 -1 1 0 0 0 1 1 0 2 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1200. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 0 -1 0 -2 2 1 -1 0 2 0 0 0 1 -2 1 -1 1 2] [-2 4 -2 -1 1 -1 0 1 -1 -1 -1 0 0 0 0 -1 0 0 -1 -1 -1 -1] [ 2 -2 4 2 -1 1 -1 -2 0 0 0 0 0 1 0 0 1 -2 1 1 1 1] [ 1 -1 2 4 1 2 1 -1 0 0 0 0 0 -1 0 0 -1 -1 -1 2 -1 -1] [ 0 1 -1 1 4 1 1 0 -1 -1 0 -1 0 -2 -1 1 0 1 0 0 -1 -2] [-1 -1 1 2 1 6 0 1 -3 -1 2 1 -3 0 1 0 1 2 1 3 -1 0] [ 0 0 -1 1 1 0 4 -1 0 1 1 0 -1 -1 1 -1 0 -1 -2 -1 0 -2] [-2 1 -2 -1 0 1 -1 6 -2 0 1 2 -1 -2 -1 0 -2 4 0 1 -2 1] [ 2 -1 0 0 -1 -3 0 -2 6 0 -1 -2 4 0 1 -1 0 -2 -1 0 0 0] [ 1 -1 0 0 -1 -1 1 0 0 4 1 2 1 -1 1 0 0 -1 -1 0 0 1] [-1 -1 0 0 0 2 1 1 -1 1 4 0 -2 -1 1 -1 0 1 0 1 -1 0] [ 0 0 0 0 -1 1 0 2 -2 2 0 4 -1 0 1 0 0 1 0 1 0 1] [ 2 0 0 0 0 -3 -1 -1 4 1 -2 -1 6 -1 0 0 0 -2 -1 0 0 1] [ 0 0 1 -1 -2 0 -1 -2 0 -1 -1 0 -1 4 1 0 1 -1 1 -1 2 1] [ 0 0 0 0 -1 1 1 -1 1 1 1 1 0 1 4 -1 1 -1 -1 1 0 0] [ 0 -1 0 0 1 0 -1 0 -1 0 -1 0 0 0 -1 4 -1 1 1 0 1 -1] [ 1 0 1 -1 0 1 0 -2 0 0 0 0 0 1 1 -1 6 -1 1 0 1 0] [-2 0 -2 -1 1 2 -1 4 -2 -1 1 1 -2 -1 -1 1 -1 6 1 2 -1 0] [ 1 -1 1 -1 0 1 -2 0 -1 -1 0 0 -1 1 -1 1 1 1 4 -1 1 2] [-1 -1 1 2 0 3 -1 1 0 0 1 1 0 -1 1 0 0 2 -1 6 -1 -1] [ 1 -1 1 -1 -1 -1 0 -2 0 0 -1 0 0 2 0 1 1 -1 1 -1 4 0] [ 2 -1 1 -1 -2 0 -2 1 0 1 0 1 1 1 0 -1 0 0 2 -1 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1201. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 2 -1 -1 1 1 -1 0 -1 1 -1 -1 0 2 0 2 1 0 1] [ 2 4 -2 -1 1 -2 -2 0 0 0 0 -2 1 0 1 -1 2 0 2 1 -1 1] [-2 -2 4 1 -1 2 1 1 -1 -1 1 2 0 0 1 0 -2 -1 0 -1 0 0] [ 0 -1 1 4 0 0 2 -1 1 1 0 2 0 -2 1 -1 -2 1 1 1 0 0] [ 2 1 -1 0 6 1 1 2 3 0 -2 -1 1 -2 -3 -1 -1 -2 -1 -1 1 3] [-1 -2 2 0 1 6 2 3 1 1 -1 0 -1 1 0 -1 0 0 0 0 0 0] [-1 -2 1 2 1 2 6 2 1 3 -2 2 1 0 -1 0 -3 0 0 0 2 0] [ 1 0 1 -1 2 3 2 6 1 -1 0 0 2 1 -2 1 1 -2 2 -1 0 1] [ 1 0 -1 1 3 1 1 1 4 1 -1 0 1 -1 -1 -1 -1 -1 0 0 1 1] [-1 0 -1 1 0 1 3 -1 1 6 -3 0 0 1 2 -1 -2 1 -1 2 1 -1] [ 0 0 1 0 -2 -1 -2 0 -1 -3 4 1 0 0 0 0 1 0 2 0 -1 -1] [-1 -2 2 2 -1 0 2 0 0 0 1 4 1 0 0 0 -2 0 0 0 1 -1] [ 1 1 0 0 1 -1 1 2 1 0 0 1 4 1 0 1 0 -2 1 0 0 0] [-1 0 0 -2 -2 1 0 1 -1 1 0 0 1 4 1 1 1 0 0 0 0 -2] [-1 1 1 1 -3 0 -1 -2 -1 2 0 0 0 1 6 -1 0 1 1 2 -1 -1] [ 0 -1 0 -1 -1 -1 0 1 -1 -1 0 0 1 1 -1 4 1 -1 -1 -1 0 0] [ 2 2 -2 -2 -1 0 -3 1 -1 -2 1 -2 0 1 0 1 6 1 2 1 -2 0] [ 0 0 -1 1 -2 0 0 -2 -1 1 0 0 -2 0 1 -1 1 4 1 2 0 -1] [ 2 2 0 1 -1 0 0 2 0 -1 2 0 1 0 1 -1 2 1 6 1 -1 0] [ 1 1 -1 1 -1 0 0 -1 0 2 0 0 0 0 2 -1 1 2 1 4 0 -1] [ 0 -1 0 0 1 0 2 0 1 1 -1 1 0 0 -1 0 -2 0 -1 0 4 0] [ 1 1 0 0 3 0 0 1 1 -1 -1 -1 0 -2 -1 0 0 -1 0 -1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1202. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 0 -1 1 1 1 2 -1 1 -1 2 -1 0 -1 -1 0 1 -1 0 2] [ 1 4 0 -1 0 0 0 0 1 -2 2 0 0 -1 -1 0 1 0 0 1 1 2] [-1 0 4 -1 0 0 0 0 0 2 1 -1 -2 0 1 -1 -1 1 1 0 1 -1] [ 0 -1 -1 4 -1 -1 0 0 1 -1 0 1 0 0 1 0 1 -1 1 -1 0 -2] [-1 0 0 -1 4 0 -2 1 0 2 0 1 0 -1 -2 -1 1 1 -1 1 -1 0] [ 1 0 0 -1 0 4 -1 2 1 -1 0 -1 0 -1 0 0 -2 2 1 -1 -1 2] [ 1 0 0 0 -2 -1 4 -2 -1 0 0 -1 1 0 0 0 -1 -1 1 0 0 -1] [ 1 0 0 0 1 2 -2 4 2 0 0 -1 1 0 0 0 -1 2 1 0 0 2] [ 2 1 0 1 0 1 -1 2 4 0 2 0 1 0 1 0 0 0 1 0 0 1] [-1 -2 2 -1 2 -1 0 0 0 6 0 0 0 0 0 -1 -1 0 -1 0 -1 -2] [ 1 2 1 0 0 0 0 0 2 0 4 1 0 0 1 0 0 -1 0 1 0 1] [-1 0 -1 1 1 -1 -1 -1 0 0 1 4 0 0 0 1 2 -2 -1 1 -1 0] [ 2 0 -2 0 0 0 1 1 1 0 0 0 4 0 0 0 0 0 0 1 0 2] [-1 -1 0 0 -1 -1 0 0 0 0 0 0 0 4 1 2 0 -1 -1 1 1 0] [ 0 -1 1 1 -2 0 0 0 1 0 1 0 0 1 4 0 -1 -1 1 0 0 0] [-1 0 -1 0 -1 0 0 0 0 -1 0 1 0 2 0 4 1 -1 -1 1 0 1] [-1 1 -1 1 1 -2 -1 -1 0 -1 0 2 0 0 -1 1 4 -1 -1 1 1 0] [ 0 0 1 -1 1 2 -1 2 0 0 -1 -2 0 -1 -1 -1 -1 4 1 0 1 1] [ 1 0 1 1 -1 1 1 1 1 -1 0 -1 0 -1 1 -1 -1 1 4 -1 0 0] [-1 1 0 -1 1 -1 0 0 0 0 1 1 1 1 0 1 1 0 -1 4 1 1] [ 0 1 1 0 -1 -1 0 0 0 -1 0 -1 0 1 0 0 1 1 0 1 4 0] [ 2 2 -1 -2 0 2 -1 2 1 -2 1 0 2 0 0 1 0 1 0 1 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1203. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 -1 0 1 -1 -1 1 -2 -1 -2 -2 -2 1 2 -2 -1 0 0 1] [ 2 4 -2 1 -1 0 0 -2 -2 1 -1 0 -2 -2 -1 -1 1 0 -2 0 0 1] [-2 -2 4 -1 2 -1 0 1 1 0 2 0 0 1 0 0 -2 0 0 0 -1 0] [ 1 1 -1 4 1 -1 -1 -2 1 1 -2 0 0 -2 -1 -1 1 0 -1 0 1 2] [-1 -1 2 1 4 -2 0 -1 2 0 1 0 0 -1 0 0 -1 0 0 0 1 0] [ 0 0 -1 -1 -2 4 1 2 -1 1 1 -1 0 1 0 0 0 -1 0 1 0 -1] [ 1 0 0 -1 0 1 4 2 1 0 1 -2 0 -1 0 0 0 -2 0 -1 1 0] [-1 -2 1 -2 -1 2 2 6 1 0 3 -1 1 3 1 1 -2 -2 2 0 0 -1] [-1 -2 1 1 2 -1 1 1 6 1 -1 1 2 1 0 0 1 0 0 -2 0 0] [ 1 1 0 1 0 1 0 0 1 4 0 1 -1 -1 -1 -1 1 -1 -2 0 -1 0] [-2 -1 2 -2 1 1 1 3 -1 0 6 -1 0 1 2 0 -3 -1 1 0 0 -2] [-1 0 0 0 0 -1 -2 -1 1 1 -1 4 0 0 1 0 1 2 -1 -1 -1 0] [-2 -2 0 0 0 0 0 1 2 -1 0 0 4 1 2 0 0 1 2 -1 1 -1] [-2 -2 1 -2 -1 1 -1 3 1 -1 1 0 1 6 0 1 -1 0 2 1 -1 -1] [-2 -1 0 -1 0 0 0 1 0 -1 2 1 2 0 4 0 -1 1 1 -1 1 -1] [ 1 -1 0 -1 0 0 0 1 0 -1 0 0 0 1 0 4 1 -1 1 0 0 0] [ 2 1 -2 1 -1 0 0 -2 1 1 -3 1 0 -1 -1 1 4 0 -1 -1 0 1] [-2 0 0 0 0 -1 -2 -2 0 -1 -1 2 1 0 1 -1 0 4 0 0 0 0] [-1 -2 0 -1 0 0 0 2 0 -2 1 -1 2 2 1 1 -1 0 4 0 1 -1] [ 0 0 0 0 0 1 -1 0 -2 0 0 -1 -1 1 -1 0 -1 0 0 4 1 0] [ 0 0 -1 1 1 0 1 0 0 -1 0 -1 1 -1 1 0 0 0 1 1 4 0] [ 1 1 0 2 0 -1 0 -1 0 0 -2 0 -1 -1 -1 0 1 0 -1 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1204. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 0 -2 0 -1 1 1 -2 0 -1 -1 -1 0 -1 -1 -2 0 1 1] [-2 4 -2 -1 -1 0 0 2 1 -2 2 0 2 -1 1 -1 1 1 2 0 -1 1] [ 2 -2 4 2 1 -2 0 -2 -1 1 -2 -1 0 0 -2 1 -2 -1 0 0 1 -1] [ 1 -1 2 4 -1 -1 0 -1 -2 2 -1 -2 0 0 -1 -1 -1 1 0 0 -1 1] [ 0 -1 1 -1 4 1 1 0 0 0 0 1 0 0 0 2 -1 -1 1 -1 1 -1] [-2 0 -2 -1 1 6 -1 -1 -2 -1 1 2 -2 0 1 0 0 1 0 1 -1 -1] [ 0 0 0 0 1 -1 4 1 1 2 1 1 0 -1 -1 0 0 1 1 -2 0 0] [-1 2 -2 -1 0 -1 1 6 1 -1 2 1 2 -1 2 -1 3 2 1 0 -1 3] [ 1 1 -1 -2 0 -2 1 1 6 -2 1 1 0 0 0 -1 1 0 0 0 1 2] [ 1 -2 1 2 0 -1 2 -1 -2 6 0 -1 0 -1 -2 1 0 0 -1 -2 -1 -1] [-2 2 -2 -1 0 1 1 2 1 0 4 0 1 -1 1 0 2 1 1 -1 -2 0] [ 0 0 -1 -2 1 2 1 1 1 -1 0 4 -1 -1 0 0 0 1 0 1 1 0] [-1 2 0 0 0 -2 0 2 0 0 1 -1 4 -1 1 1 1 0 2 -1 0 0] [-1 -1 0 0 0 0 -1 -1 0 -1 -1 -1 -1 4 0 0 0 -1 0 1 1 0] [-1 1 -2 -1 0 1 -1 2 0 -2 1 0 1 0 4 0 1 0 0 0 0 1] [ 0 -1 1 -1 2 0 0 -1 -1 1 0 0 1 0 0 4 0 -2 0 -1 1 -2] [-1 1 -2 -1 -1 0 0 3 1 0 2 0 1 0 1 0 4 1 0 0 -1 2] [-1 1 -1 1 -1 1 1 2 0 0 1 1 0 -1 0 -2 1 4 1 1 -1 2] [-2 2 0 0 1 0 1 1 0 -1 1 0 2 0 0 0 0 1 4 -1 0 0] [ 0 0 0 0 -1 1 -2 0 0 -2 -1 1 -1 1 0 -1 0 1 -1 4 1 1] [ 1 -1 1 -1 1 -1 0 -1 1 -1 -2 1 0 1 0 1 -1 -1 0 1 4 -1] [ 1 1 -1 1 -1 -1 0 3 2 -1 0 0 0 0 1 -2 2 2 0 1 -1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1205. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -1 -2 1 -1 2 -1 2 -1 -1 -1 1 0 1 2 -1 2 0 1] [-2 4 -1 1 2 2 -1 0 -2 2 0 1 0 0 0 -1 -1 -2 0 -2 1 0] [ 0 -1 4 -1 0 0 -1 1 1 0 0 -2 1 1 0 2 1 0 1 0 -2 1] [ 0 1 -1 4 1 2 1 -2 -2 1 2 1 -1 -2 1 -1 1 -1 1 -2 0 0] [-1 2 0 1 4 0 0 1 -1 2 1 1 0 0 -1 -1 1 -2 0 0 -1 -1] [-2 2 0 2 0 6 -1 -1 -3 2 -1 1 0 0 1 1 -1 -1 0 -4 -1 1] [ 1 -1 -1 1 0 -1 4 0 0 0 0 0 0 0 0 -1 2 1 0 0 -1 0] [-1 0 1 -2 1 -1 0 4 1 0 -1 -1 2 2 -2 1 0 0 -1 1 -2 0] [ 2 -2 1 -2 -1 -3 0 1 4 -1 1 -1 1 1 -1 0 1 1 0 3 0 0] [-1 2 0 1 2 2 0 0 -1 4 1 1 1 1 -1 -1 1 -2 0 -2 0 -1] [ 2 0 0 2 1 -1 0 -1 1 1 6 -1 0 -1 0 -1 2 0 1 0 1 0] [-1 1 -2 1 1 1 0 -1 -1 1 -1 4 0 -1 -1 -2 0 -1 0 -1 0 -2] [-1 0 1 -1 0 0 0 2 1 1 0 0 4 1 -1 0 1 -1 1 0 -1 0] [-1 0 1 -2 0 0 0 2 1 1 -1 -1 1 4 -2 1 0 0 -1 0 0 0] [ 1 0 0 1 -1 1 0 -2 -1 -1 0 -1 -1 -2 4 0 -1 0 1 0 0 2] [ 0 -1 2 -1 -1 1 -1 1 0 -1 -1 -2 0 1 0 4 0 1 -1 0 -1 2] [ 1 -1 1 1 1 -1 2 0 1 1 2 0 1 0 -1 0 4 0 1 0 -1 0] [ 2 -2 0 -1 -2 -1 1 0 1 -2 0 -1 -1 0 0 1 0 4 -1 1 0 1] [-1 0 1 1 0 0 0 -1 0 0 1 0 1 -1 1 -1 1 -1 4 -1 0 0] [ 2 -2 0 -2 0 -4 0 1 3 -2 0 -1 0 0 0 0 0 1 -1 6 1 0] [ 0 1 -2 0 -1 -1 -1 -2 0 0 1 0 -1 0 0 -1 -1 0 0 1 6 -1] [ 1 0 1 0 -1 1 0 0 0 -1 0 -2 0 0 2 2 0 1 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1206. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -1 1 1 -1 0 2 -1 1 -2 1 1 1 -1 1 -1 0 -1 1] [ 1 4 2 -1 0 -1 2 -2 -1 1 1 0 -2 -1 -1 0 1 -1 -2 0 -1 -1] [ 2 2 4 -2 0 1 0 -2 0 2 1 1 -2 1 -1 0 -1 1 -1 1 0 0] [-1 -1 -2 4 -1 0 0 0 -1 0 0 1 2 0 0 1 0 0 0 0 1 0] [-1 0 0 -1 4 -1 0 -1 1 0 -1 0 1 0 1 1 -1 0 0 -1 1 -1] [ 1 -1 1 0 -1 4 -1 0 1 1 0 2 0 2 0 0 0 2 1 2 -1 1] [ 1 2 0 0 0 -1 4 -1 -1 1 -1 1 -2 -1 0 1 0 -1 -2 0 -2 0] [-1 -2 -2 0 -1 0 -1 6 2 -1 0 0 2 1 1 -1 1 1 2 0 1 -1] [ 0 -1 0 -1 1 1 -1 2 4 1 -1 0 2 2 1 1 -1 2 2 1 0 -1] [ 2 1 2 0 0 1 1 -1 1 4 0 1 -1 1 0 2 -2 2 -1 1 -1 0] [-1 1 1 0 -1 0 -1 0 -1 0 4 0 -1 -1 -2 -1 1 0 -1 1 1 -1] [ 1 0 1 1 0 2 1 0 0 1 0 6 -1 2 -1 1 0 2 0 2 0 -1] [-2 -2 -2 2 1 0 -2 2 2 -1 -1 -1 6 1 2 0 0 1 2 0 3 0] [ 1 -1 1 0 0 2 -1 1 2 1 -1 2 1 4 0 1 -1 2 1 1 1 0] [ 1 -1 -1 0 1 0 0 1 1 0 -2 -1 2 0 4 0 -1 0 1 -1 0 1] [ 1 0 0 1 1 0 1 -1 1 2 -1 1 0 1 0 4 -1 1 -1 0 0 0] [-1 1 -1 0 -1 0 0 1 -1 -2 1 0 0 -1 -1 -1 4 -1 0 0 0 0] [ 1 -1 1 0 0 2 -1 1 2 2 0 2 1 2 0 1 -1 4 1 2 1 0] [-1 -2 -1 0 0 1 -2 2 2 -1 -1 0 2 1 1 -1 0 1 4 0 0 0] [ 0 0 1 0 -1 2 0 0 1 1 1 2 0 1 -1 0 0 2 0 4 0 0] [-1 -1 0 1 1 -1 -2 1 0 -1 1 0 3 1 0 0 0 1 0 0 6 -1] [ 1 -1 0 0 -1 1 0 -1 -1 0 -1 -1 0 0 1 0 0 0 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1207. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 2 1 1 0 1 0 1 2 2 -1 2 -1 0 -2 2 1 -1 2] [ 1 4 -1 0 0 -1 2 -1 0 -1 1 2 1 -2 1 -1 -1 1 0 0 1 1] [-1 -1 4 -1 -1 0 0 2 1 2 -1 -2 0 0 0 1 -1 -1 -1 1 0 0] [-1 0 -1 4 -2 -1 0 -2 -2 -2 1 0 0 0 -1 1 -1 2 0 -2 0 0] [ 2 0 -1 -2 4 2 -1 0 0 1 1 1 0 1 0 -2 2 -1 1 1 -1 1] [ 1 -1 0 -1 2 4 -1 1 0 1 0 1 1 1 0 -1 2 -2 1 0 -2 1] [ 1 2 0 0 -1 -1 4 -1 0 0 0 2 1 -2 2 0 -2 -1 1 0 1 1] [ 0 -1 2 -2 0 1 -1 4 2 1 -2 -2 1 0 0 1 0 -2 0 1 -1 0] [ 1 0 1 -2 0 0 0 2 4 0 -1 0 1 -1 2 0 0 -2 1 2 0 1] [ 0 -1 2 -2 1 1 0 1 0 4 0 0 0 1 0 -1 0 -2 0 1 -1 0] [ 1 1 -1 1 1 0 0 -2 -1 0 4 2 0 1 1 -2 0 0 0 -1 0 0] [ 2 2 -2 0 1 1 2 -2 0 0 2 6 1 -1 3 -2 1 -2 2 -1 -1 1] [ 2 1 0 0 0 1 1 1 1 0 0 1 4 -2 2 0 -1 -2 1 0 -1 2] [-1 -2 0 0 1 1 -2 0 -1 1 1 -1 -2 4 -1 -1 1 0 0 0 0 -1] [ 2 1 0 -1 0 0 2 0 2 0 1 3 2 -1 6 0 0 -2 1 1 0 1] [-1 -1 1 1 -2 -1 0 1 0 -1 -2 -2 0 -1 0 4 0 1 -1 0 0 0] [ 0 -1 -1 -1 2 2 -2 0 0 0 0 1 -1 1 0 0 4 0 0 0 -1 0] [-2 1 -1 2 -1 -2 -1 -2 -2 -2 0 -2 -2 0 -2 1 0 6 -2 0 2 -1] [ 2 0 -1 0 1 1 1 0 1 0 0 2 1 0 1 -1 0 -2 4 0 -1 2] [ 1 0 1 -2 1 0 0 1 2 1 -1 -1 0 0 1 0 0 0 0 4 1 1] [-1 1 0 0 -1 -2 1 -1 0 -1 0 -1 -1 0 0 0 -1 2 -1 1 4 -1] [ 2 1 0 0 1 1 1 0 1 0 0 1 2 -1 1 0 0 -1 2 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1208. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 1 1 0 1 2 1 2 1 1 1 -1 -2 1 1 -2 1 0 1 -2] [ 0 6 3 -1 -2 3 2 -1 2 3 0 1 0 -1 3 -2 -2 1 0 -1 1 3] [-1 3 6 -2 -2 3 -1 0 1 3 0 0 1 -2 2 -2 -1 0 -2 -1 0 3] [ 1 -1 -2 4 2 -1 -1 1 1 -2 0 1 -1 1 -2 1 -1 -1 0 0 1 -1] [ 1 -2 -2 2 4 -2 0 1 -1 -2 1 0 0 0 -1 1 0 -1 1 1 0 -2] [ 0 3 3 -1 -2 4 1 -1 1 3 -1 1 1 -1 2 -2 0 0 -1 0 1 2] [ 1 2 -1 -1 0 1 4 -1 0 2 0 0 0 0 1 -1 0 0 2 1 0 0] [ 2 -1 0 1 1 -1 -1 4 0 1 1 0 1 0 -2 1 0 -2 1 0 0 -2] [ 1 2 1 1 -1 1 0 0 4 2 1 1 0 -1 0 0 -1 0 0 0 1 2] [ 2 3 3 -2 -2 3 2 1 2 8 0 0 3 -3 0 0 0 0 1 1 0 2] [ 1 0 0 0 1 -1 0 1 1 0 4 -1 0 0 0 0 1 0 1 1 -1 0] [ 1 1 0 1 0 1 0 0 1 0 -1 4 -1 0 -1 0 0 0 0 0 1 -1] [ 1 0 1 -1 0 1 0 1 0 3 0 -1 4 -2 1 0 1 0 0 1 1 1] [-1 -1 -2 1 0 -1 0 0 -1 -3 0 0 -2 4 -1 0 0 0 0 0 0 -1] [-2 3 2 -2 -1 2 1 -2 0 0 0 -1 1 -1 6 -3 -1 1 0 0 0 3] [ 1 -2 -2 1 1 -2 -1 1 0 0 0 0 0 0 -3 4 1 0 0 0 0 -1] [ 1 -2 -1 -1 0 0 0 0 -1 0 1 0 1 0 -1 1 4 0 0 1 0 -1] [-2 1 0 -1 -1 0 0 -2 0 0 0 0 0 0 1 0 0 4 0 1 0 2] [ 1 0 -2 0 1 -1 2 1 0 1 1 0 0 0 0 0 0 0 4 1 -1 -1] [ 0 -1 -1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 4 0 0] [ 1 1 0 1 0 1 0 0 1 0 -1 1 1 0 0 0 0 0 -1 0 4 0] [-2 3 3 -1 -2 2 0 -2 2 2 0 -1 1 -1 3 -1 -1 2 -1 0 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1209. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 2 1 1 0 1 1 0 1 0 -1 -1 0 -1 -2 -2 -1 1 -1] [-1 6 -3 1 1 -1 1 -1 1 2 1 -1 1 1 2 -1 -1 -1 1 -1 -1 2] [ 2 -3 6 -2 1 -1 1 2 1 -1 -2 2 -2 -2 -1 -1 -1 -1 -2 -1 2 -1] [ 0 1 -2 4 0 2 1 -2 0 0 0 -1 0 2 1 -1 -1 0 1 0 -1 -1] [ 2 1 1 0 4 -1 0 0 1 1 1 0 1 0 0 0 -2 -2 0 -2 0 0] [ 1 -1 -1 2 -1 4 0 -2 -1 0 -1 0 0 1 -1 0 1 0 0 1 0 -1] [ 1 1 1 1 0 0 4 1 2 0 -1 0 0 -1 1 -1 -1 0 0 -1 0 -1] [ 0 -1 2 -2 0 -2 1 4 1 0 0 0 0 -1 0 0 0 0 0 0 0 0] [ 1 1 1 0 1 -1 2 1 4 0 0 -1 0 0 1 -1 0 0 0 0 -1 0] [ 1 2 -1 0 1 0 0 0 0 4 2 0 1 0 -1 1 -1 -2 0 -1 0 1] [ 0 1 -2 0 1 -1 -1 0 0 2 4 -1 2 1 0 2 -1 -1 1 0 -1 0] [ 1 -1 2 -1 0 0 0 0 -1 0 -1 4 -2 -1 -2 0 0 0 -1 0 1 -1] [ 0 1 -2 0 1 0 0 0 0 1 2 -2 4 0 1 1 0 0 1 0 0 1] [-1 1 -2 2 0 1 -1 -1 0 0 1 -1 0 4 0 0 0 0 1 1 -1 0] [-1 2 -1 1 0 -1 1 0 1 -1 0 -2 1 0 4 -2 -1 0 1 0 -1 1] [ 0 -1 -1 -1 0 0 -1 0 -1 1 2 0 1 0 -2 4 1 0 0 0 0 0] [-1 -1 -1 -1 -2 1 -1 0 0 -1 -1 0 0 0 -1 1 4 2 0 2 0 1] [-2 -1 -1 0 -2 0 0 0 0 -2 -1 0 0 0 0 0 2 4 1 2 0 0] [-2 1 -2 1 0 0 0 0 0 0 1 -1 1 1 1 0 0 1 4 0 -2 0] [-1 -1 -1 0 -2 1 -1 0 0 -1 0 0 0 1 0 0 2 2 0 4 0 0] [ 1 -1 2 -1 0 0 0 0 -1 0 -1 1 0 -1 -1 0 0 0 -2 0 4 0] [-1 2 -1 -1 0 -1 -1 0 0 1 0 -1 1 0 1 0 1 0 0 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1210. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 1 0 0 -1 -1 0 -1 0 0 1 1 0 2 -2 -1 0 0 2] [ 1 4 -2 -1 0 0 0 -2 1 -1 0 1 0 1 -1 0 0 -1 0 -1 1 2] [-2 -2 6 -2 0 -1 2 3 2 1 0 -1 -1 0 1 -1 -1 0 2 1 -1 0] [ 2 -1 -2 6 -1 2 -1 0 -1 -1 -2 1 -1 1 1 -1 3 0 0 2 1 -1] [ 1 0 0 -1 4 -2 1 0 0 2 1 -1 1 1 1 -1 0 0 -1 -1 -1 0] [ 0 0 -1 2 -2 4 -2 0 -1 0 -1 0 -1 -1 0 0 0 0 1 1 0 -1] [ 0 0 2 -1 1 -2 4 0 2 0 -1 0 -1 2 0 0 0 0 1 1 0 2] [-1 -2 3 0 0 0 0 4 1 1 1 -1 0 0 1 0 -1 1 0 1 -1 -1] [-1 1 2 -1 0 -1 2 1 4 -1 0 0 0 2 -1 0 0 0 1 1 0 1] [ 0 -1 1 -1 2 0 0 1 -1 4 1 -2 1 -1 2 -1 -1 0 -1 -1 -2 0] [-1 0 0 -2 1 -1 -1 1 0 1 4 -1 2 -1 0 1 -1 0 -1 -1 -1 0] [ 0 1 -1 1 -1 0 0 -1 0 -2 -1 4 -2 1 -2 0 1 1 1 1 1 -1] [ 0 0 -1 -1 1 -1 -1 0 0 1 2 -2 4 -1 1 0 0 0 -2 -1 0 1] [ 1 1 0 1 1 -1 2 0 2 -1 -1 1 -1 4 -1 0 1 0 0 1 1 1] [ 1 -1 1 1 1 0 0 1 -1 2 0 -2 1 -1 4 -2 0 -1 0 0 -1 1] [ 0 0 -1 -1 -1 0 0 0 0 -1 1 0 0 0 -2 4 0 0 -1 0 0 1] [ 2 0 -1 3 0 0 0 -1 0 -1 -1 1 0 1 0 0 4 -1 0 1 1 1] [-2 -1 0 0 0 0 0 1 0 0 0 1 0 0 -1 0 -1 4 0 1 1 -2] [-1 0 2 0 -1 1 1 0 1 -1 -1 1 -2 0 0 -1 0 0 4 1 0 0] [ 0 -1 1 2 -1 1 1 1 1 -1 -1 1 -1 1 0 0 1 1 1 4 1 0] [ 0 1 -1 1 -1 0 0 -1 0 -2 -1 1 0 1 -1 0 1 1 0 1 4 0] [ 2 2 0 -1 0 -1 2 -1 1 0 0 -1 1 1 1 1 1 -2 0 0 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1211. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 0 -1 -1 0 1 -1 2 0 -2 1 2 0 0 -2 0 1 0 2 1] [ 1 4 1 -1 -1 1 1 2 1 1 -1 -2 1 1 0 -1 1 -1 1 0 1 1] [ 2 1 4 -1 0 1 0 1 0 2 -1 -2 1 2 -1 -1 0 0 2 1 0 1] [ 0 -1 -1 4 -1 -1 1 0 1 0 1 2 -1 0 -1 1 1 -1 0 -2 1 -1] [-1 -1 0 -1 4 0 -2 0 0 0 -1 -1 1 0 1 1 -1 2 0 0 0 1] [-1 1 1 -1 0 4 0 1 0 -1 -1 1 0 -1 0 -2 0 0 0 1 0 0] [ 0 1 0 1 -2 0 4 1 2 0 0 1 0 0 -2 0 2 -2 -1 0 0 0] [ 1 2 1 0 0 1 1 4 2 1 -1 -1 2 1 0 0 -1 0 1 1 1 0] [-1 1 0 1 0 0 2 2 4 0 -1 0 1 0 -1 0 1 -1 0 0 -1 0] [ 2 1 2 0 0 -1 0 1 0 4 0 -2 0 1 0 0 0 0 2 0 1 0] [ 0 -1 -1 1 -1 -1 0 -1 -1 0 4 0 -2 0 1 1 1 1 0 0 -1 -2] [-2 -2 -2 2 -1 1 1 -1 0 -2 0 6 -2 -2 0 -1 0 -2 -1 0 1 -1] [ 1 1 1 -1 1 0 0 2 1 0 -2 -2 4 1 0 0 -1 1 0 1 1 2] [ 2 1 2 0 0 -1 0 1 0 1 0 -2 1 4 -1 1 0 0 1 0 1 1] [ 0 0 -1 -1 1 0 -2 0 -1 0 1 0 0 -1 4 -1 -2 1 1 1 0 0] [ 0 -1 -1 1 1 -2 0 0 0 0 1 -1 0 1 -1 4 1 1 -1 -1 0 0] [-2 1 0 1 -1 0 2 -1 1 0 1 0 -1 0 -2 1 6 -1 0 -1 -1 0] [ 0 -1 0 -1 2 0 -2 0 -1 0 1 -2 1 0 1 1 -1 4 0 1 0 0] [ 1 1 2 0 0 0 -1 1 0 2 0 -1 0 1 1 -1 0 0 4 0 0 0] [ 0 0 1 -2 0 1 0 1 0 0 0 0 1 0 1 -1 -1 1 0 4 0 0] [ 2 1 0 1 0 0 0 1 -1 1 -1 1 1 1 0 0 -1 0 0 0 6 1] [ 1 1 1 -1 1 0 0 0 0 0 -2 -1 2 1 0 0 0 0 0 0 1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1212. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 -1 0 1 1 -1 0 0 0 -1 2 0 0 2 1 1 0 0 0] [ 2 4 -2 0 -1 -1 0 -1 -2 -1 -1 1 -1 1 0 -1 1 1 0 0 0 -1] [-2 -2 4 -1 2 1 1 1 1 0 1 -1 1 -2 -1 0 -2 -2 0 -1 -1 0] [ 1 0 -1 4 1 -1 1 2 1 1 1 1 -1 -1 -1 -1 1 0 0 1 2 1] [-1 -1 2 1 4 -1 2 2 2 0 2 1 -1 -1 -2 0 -1 -1 0 1 1 0] [ 0 -1 1 -1 -1 4 1 -1 1 1 0 0 2 1 1 1 0 -1 -1 -1 -1 -1] [ 1 0 1 1 2 1 6 0 2 1 2 0 0 1 -2 0 0 0 0 -1 1 -2] [ 1 -1 1 2 2 -1 0 6 1 1 0 -1 -1 0 0 0 -1 0 2 1 0 1] [-1 -2 1 1 2 1 2 1 6 0 2 0 2 -1 0 -1 1 0 -2 1 0 0] [ 0 -1 0 1 0 1 1 1 0 4 1 -1 0 0 0 2 0 1 0 -1 0 -1] [ 0 -1 1 1 2 0 2 0 2 1 4 0 0 -1 -1 0 1 0 -1 0 0 0] [ 0 1 -1 1 1 0 0 -1 0 -1 0 4 -1 0 -1 0 0 -1 -1 2 2 0] [-1 -1 1 -1 -1 2 0 -1 2 0 0 -1 4 -1 1 0 0 -1 -2 0 -1 0] [ 2 1 -2 -1 -1 1 1 0 -1 0 -1 0 -1 6 2 1 0 2 2 0 0 -2] [ 0 0 -1 -1 -2 1 -2 0 0 0 -1 -1 1 2 4 0 0 1 0 0 -1 0] [ 0 -1 0 -1 0 1 0 0 -1 2 0 0 0 1 0 4 0 0 0 0 0 0] [ 2 1 -2 1 -1 0 0 -1 1 0 1 0 0 0 0 0 4 1 -1 0 0 1] [ 1 1 -2 0 -1 -1 0 0 0 1 0 -1 -1 2 1 0 1 4 1 0 0 -1] [ 1 0 0 0 0 -1 0 2 -2 0 -1 -1 -2 2 0 0 -1 1 4 -1 0 0] [ 0 0 -1 1 1 -1 -1 1 1 -1 0 2 0 0 0 0 0 0 -1 4 2 1] [ 0 0 -1 2 1 -1 1 0 0 0 0 2 -1 0 -1 0 0 0 0 2 4 0] [ 0 -1 0 1 0 -1 -2 1 0 -1 0 0 0 -2 0 0 1 -1 0 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1213. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 2 -1 1 -2 0 2 1 -2 0 1 0 0 -2 -1 -1 -1 2 0 1] [-1 4 0 0 2 0 -1 0 0 1 1 -1 -1 1 0 -1 1 -1 2 1 -1 0] [-2 0 4 -2 -1 -1 1 -1 -1 -2 2 0 0 0 -1 0 1 1 0 0 1 0] [ 2 0 -2 4 -1 2 -1 1 2 2 -2 1 1 1 1 -1 -1 -1 -1 2 0 1] [-1 2 -1 -1 6 -2 1 1 0 0 2 0 -2 1 1 2 -1 -2 3 -1 -2 -2] [ 1 0 -1 2 -2 4 -2 -1 1 1 -1 -1 2 -1 -1 -2 1 1 -2 1 0 2] [-2 -1 1 -1 1 -2 4 1 -1 -1 1 1 -1 1 1 2 -1 0 1 -1 0 -1] [ 0 0 -1 1 1 -1 1 4 -1 1 0 1 -1 2 1 0 -2 0 1 1 1 0] [ 2 0 -1 2 0 1 -1 -1 4 0 -1 0 1 0 0 0 0 -1 0 2 -1 0] [ 1 1 -2 2 0 1 -1 1 0 4 -1 0 -1 1 0 0 0 0 0 1 -1 1] [-2 1 2 -2 2 -1 1 0 -1 -1 4 -1 -1 1 0 1 1 1 1 -1 -1 0] [ 0 -1 0 1 0 -1 1 1 0 0 -1 4 -1 1 2 1 -2 -1 0 -1 1 0] [ 1 -1 0 1 -2 2 -1 -1 1 -1 -1 -1 4 -2 0 -2 0 1 -2 1 1 0] [ 0 1 0 1 1 -1 1 2 0 1 1 1 -2 4 1 0 -1 -1 1 1 0 1] [ 0 0 -1 1 1 -1 1 1 0 0 0 2 0 1 4 0 -1 -1 0 -1 0 0] [-2 -1 0 -1 2 -2 2 0 0 0 1 1 -2 0 0 6 0 0 1 -3 -1 -2] [-1 1 1 -1 -1 1 -1 -2 0 0 1 -2 0 -1 -1 0 4 1 0 0 -1 1] [-1 -1 1 -1 -2 1 0 0 -1 0 1 -1 1 -1 -1 0 1 4 -1 0 1 1] [-1 2 0 -1 3 -2 1 1 0 0 1 0 -2 1 0 1 0 -1 4 0 -1 -1] [ 2 1 0 2 -1 1 -1 1 2 1 -1 -1 1 1 -1 -3 0 0 0 6 1 1] [ 0 -1 1 0 -2 0 0 1 -1 -1 -1 1 1 0 0 -1 -1 1 -1 1 4 0] [ 1 0 0 1 -2 2 -1 0 0 1 0 0 0 1 0 -2 1 1 -1 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1214. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 -2 -2 1 0 1 -2 2 -1 2 2 1 -1 2 1 -2 -2 -2 0] [-2 4 -1 1 2 0 -2 1 -2 0 -2 0 0 0 -2 1 -2 -2 0 2 0 1] [ 0 -1 4 -2 -1 -1 0 0 1 0 0 2 1 -2 -1 -1 0 2 2 0 0 -1] [ 0 1 -2 4 1 1 -1 -1 -1 1 -1 -2 -1 2 1 1 0 -1 0 1 1 2] [-2 2 -1 1 4 2 0 0 -1 1 -2 -1 -2 1 -1 0 -1 -2 0 2 2 1] [-2 0 -1 1 2 4 1 0 0 2 -1 -1 -3 0 0 0 0 -1 0 1 3 0] [ 1 -2 0 -1 0 1 4 -1 1 0 1 0 -1 1 1 0 1 1 0 -1 1 0] [ 0 1 0 -1 0 0 -1 4 -1 -1 1 1 1 0 -2 -1 -1 -1 -1 0 -1 -1] [ 1 -2 1 -1 -1 0 1 -1 4 0 1 1 0 0 1 0 1 1 1 -1 -1 0] [-2 0 0 1 1 2 0 -1 0 4 -1 -1 -2 0 0 0 0 0 2 1 3 1] [ 2 -2 0 -1 -2 -1 1 1 1 -1 4 1 2 0 1 0 0 1 -1 -1 -2 0] [-1 0 2 -2 -1 -1 0 1 1 -1 1 6 0 -3 0 2 -2 2 3 0 -1 0] [ 2 0 1 -1 -2 -3 -1 1 0 -2 2 0 6 -1 0 -1 1 1 -1 -1 -4 0] [ 2 0 -2 2 1 0 1 0 0 0 0 -3 -1 6 0 -1 1 -1 -1 -1 0 1] [ 1 -2 -1 1 -1 0 1 -2 1 0 1 0 0 0 4 1 1 1 0 -1 0 1] [-1 1 -1 1 0 0 0 -1 0 0 0 2 -1 -1 1 4 -1 0 1 1 0 2] [ 2 -2 0 0 -1 0 1 -1 1 0 0 -2 1 1 1 -1 4 1 -1 -2 0 0] [ 1 -2 2 -1 -2 -1 1 -1 1 0 1 2 1 -1 1 0 1 4 2 -1 0 0] [-2 0 2 0 0 0 0 -1 1 2 -1 3 -1 -1 0 1 -1 2 6 0 1 1] [-2 2 0 1 2 1 -1 0 -1 1 -1 0 -1 -1 -1 1 -2 -1 0 4 2 1] [-2 0 0 1 2 3 1 -1 -1 3 -2 -1 -4 0 0 0 0 0 1 2 6 0] [ 0 1 -1 2 1 0 0 -1 0 1 0 0 0 1 1 2 0 0 1 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1215. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 1 1 1 0 0 1 2 2 -2 -1 -2 -1 1 -1 -1 -1 1 1 -2] [ 1 4 -2 2 1 -1 0 0 0 1 2 -2 -1 1 -1 -1 -1 0 0 0 2 -2] [-1 -2 4 -2 -2 1 1 1 0 -1 -1 1 0 0 1 0 0 -1 -1 0 -1 2] [ 1 2 -2 4 0 -1 -1 0 1 0 1 0 -1 1 -1 -1 0 1 1 0 0 -2] [ 1 1 -2 0 4 -1 0 -1 -1 1 1 -2 -1 -1 0 1 -1 1 0 -1 0 -1] [ 1 -1 1 -1 -1 4 1 1 0 0 0 -1 1 0 1 0 -1 0 -2 1 -1 -1] [ 0 0 1 -1 0 1 4 2 -2 1 -1 0 -1 -1 0 1 -2 0 0 0 1 1] [ 0 0 1 0 -1 1 2 4 0 1 -1 -1 -1 -1 -1 0 -1 1 -1 -1 1 1] [ 1 0 0 1 -1 0 -2 0 4 -1 1 -1 1 -1 0 0 0 -1 0 1 -1 0] [ 2 1 -1 0 1 0 1 1 -1 4 1 -1 -2 -2 -2 1 0 0 0 0 3 0] [ 2 2 -1 1 1 0 -1 -1 1 1 4 -1 0 -1 0 -1 -1 -1 -1 0 1 -1] [-2 -2 1 0 -2 -1 0 -1 -1 -1 -1 6 0 1 0 0 1 0 1 0 0 1] [-1 -1 0 -1 -1 1 -1 -1 1 -2 0 0 4 1 1 -1 1 -1 0 1 -2 0] [-2 1 0 1 -1 0 -1 -1 -1 -2 -1 1 1 6 0 -1 1 1 0 1 -2 -2] [-1 -1 1 -1 0 1 0 -1 0 -2 0 0 1 0 4 -1 -1 -1 0 0 -2 0] [ 1 -1 0 -1 1 0 1 0 0 1 -1 0 -1 -1 -1 4 0 0 0 1 0 1] [-1 -1 0 0 -1 -1 -2 -1 0 0 -1 1 1 1 -1 0 4 0 1 0 0 1] [-1 0 -1 1 1 0 0 1 -1 0 -1 0 -1 1 -1 0 0 4 0 -1 0 0] [-1 0 -1 1 0 -2 0 -1 0 0 -1 1 0 0 0 0 1 0 4 0 0 1] [ 1 0 0 0 -1 1 0 -1 1 0 0 0 1 1 0 1 0 -1 0 4 0 -1] [ 1 2 -1 0 0 -1 1 1 -1 3 1 0 -2 -2 -2 0 0 0 0 0 6 0] [-2 -2 2 -2 -1 -1 1 1 0 0 -1 1 0 -2 0 1 1 0 1 -1 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1216. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 -1 0 -1 2 0 0 1 2 0 0 -1 0 -1 1 1 0 0 1 1 2] [ 0 4 -1 0 -2 -1 0 0 1 1 2 0 2 2 -1 -1 -1 0 1 0 0 1] [-1 -1 4 1 1 1 1 0 1 -2 -2 1 -2 -2 2 1 -1 0 0 -2 1 -2] [ 0 0 1 4 1 2 2 -1 1 0 1 2 1 1 0 2 1 -1 1 0 2 -1] [-1 -2 1 1 6 2 2 2 1 -1 -3 2 -2 -3 0 0 -1 -1 2 2 -2 1] [ 2 -1 1 2 2 6 1 1 3 0 0 1 -2 0 -1 1 -1 -2 1 2 0 1] [ 0 0 1 2 2 1 4 1 2 0 -1 2 0 -1 1 1 0 -1 2 1 0 1] [ 0 0 0 -1 2 1 1 4 2 0 -1 0 -2 -1 -1 -2 -2 0 2 2 -1 1] [ 1 1 1 1 1 3 2 2 6 0 0 0 0 0 -1 -1 -1 0 2 2 -1 2] [ 2 1 -2 0 -1 0 0 0 0 4 0 1 1 0 -1 1 0 -1 1 0 1 2] [ 0 2 -2 1 -3 0 -1 -1 0 0 6 -2 3 4 -2 -1 1 1 -1 0 0 0] [ 0 0 1 2 2 1 2 0 0 1 -2 4 -1 -1 1 2 0 -2 2 0 1 0] [-1 2 -2 1 -2 -2 0 -2 0 1 3 -1 6 2 0 0 1 0 0 -1 0 0] [ 0 2 -2 1 -3 0 -1 -1 0 0 4 -1 2 6 -2 -1 1 0 -1 1 1 0] [-1 -1 2 0 0 -1 1 -1 -1 -1 -2 1 0 -2 4 1 0 -1 0 -2 1 -2] [ 1 -1 1 2 0 1 1 -2 -1 1 -1 2 0 -1 1 4 1 -1 0 -1 2 -1] [ 1 -1 -1 1 -1 -1 0 -2 -1 0 1 0 1 1 0 1 4 1 -1 0 1 0] [ 0 0 0 -1 -1 -2 -1 0 0 -1 1 -2 0 0 -1 -1 1 4 -1 0 0 0] [ 0 1 0 1 2 1 2 2 2 1 -1 2 0 -1 0 0 -1 -1 4 1 0 1] [ 1 0 -2 0 2 2 1 2 2 0 0 0 -1 1 -2 -1 0 0 1 6 -1 2] [ 1 0 1 2 -2 0 0 -1 -1 1 0 1 0 1 1 2 1 0 0 -1 6 -3] [ 2 1 -2 -1 1 1 1 1 2 2 0 0 0 0 -2 -1 0 0 1 2 -3 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1217. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 1 -1 -1 0 1 0 1 -1 0 1 1 -1 -1 1 1 0 0 1 0] [-1 4 0 1 -1 2 -1 -1 -1 0 1 -1 0 -1 1 1 0 -1 1 1 -2 1] [-2 0 4 -2 1 -1 -1 -1 -1 0 -1 1 -1 -1 0 1 0 -1 -1 0 1 1] [ 1 1 -2 4 0 2 0 -1 0 0 1 -1 1 -1 1 -1 -1 -1 2 0 -1 -1] [-1 -1 1 0 4 1 1 0 1 0 0 1 1 0 1 -1 -2 0 0 0 1 0] [-1 2 -1 2 1 6 2 -2 2 0 3 -1 0 -2 0 -1 -3 -2 2 -1 -3 1] [ 0 -1 -1 0 1 2 4 -1 2 1 1 -1 1 0 0 -2 -2 0 1 0 0 0] [ 1 -1 -1 -1 0 -2 -1 4 0 0 -1 0 1 2 -1 1 1 2 -2 0 0 0] [ 0 -1 -1 0 1 2 2 0 4 1 1 -1 0 -1 0 -2 -2 0 1 0 -1 0] [ 1 0 0 0 0 0 1 0 1 4 -1 -2 1 0 0 -1 0 1 1 0 1 1] [-1 1 -1 1 0 3 1 -1 1 -1 4 0 0 -1 0 0 -1 -2 1 0 -3 -1] [ 0 -1 1 -1 1 -1 -1 0 -1 -2 0 4 0 0 -1 0 1 0 -1 -1 0 -1] [ 1 0 -1 1 1 0 1 1 0 1 0 0 4 0 1 -1 0 0 1 1 0 0] [ 1 -1 -1 -1 0 -2 0 2 -1 0 -1 0 0 4 -1 1 1 2 -2 0 2 0] [-1 1 0 1 1 0 0 -1 0 0 0 -1 1 -1 4 -1 -1 -1 2 2 0 0] [-1 1 1 -1 -1 -1 -2 1 -2 -1 0 0 -1 1 -1 4 2 0 -2 0 0 1] [ 1 0 0 -1 -2 -3 -2 1 -2 0 -1 1 0 1 -1 2 4 1 -1 0 1 0] [ 1 -1 -1 -1 0 -2 0 2 0 1 -2 0 0 2 -1 0 1 4 -1 0 2 0] [ 0 1 -1 2 0 2 1 -2 1 1 1 -1 1 -2 2 -2 -1 -1 4 0 -1 0] [ 0 1 0 0 0 -1 0 0 0 0 0 -1 1 0 2 0 0 0 0 4 1 0] [ 1 -2 1 -1 1 -3 0 0 -1 1 -3 0 0 2 0 0 1 2 -1 1 6 0] [ 0 1 1 -1 0 1 0 0 0 1 -1 -1 0 0 0 1 0 0 0 0 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1218. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 -2 1 -1 2 0 1 -2 -2 1 2 -1 2 -1 1 -2 -1 -1] [ 0 4 -1 -1 0 1 -2 -1 0 -1 -2 0 2 1 2 0 -1 1 0 1 1 -2] [ 1 -1 4 0 -1 0 1 1 2 1 1 0 -2 0 -1 -1 -1 -1 2 -1 -1 2] [-2 -1 0 6 2 1 1 2 -2 -2 -1 1 2 -2 -2 2 -1 -1 0 2 1 0] [ 0 0 -1 2 4 0 -1 0 -2 -2 0 0 2 0 -1 0 0 0 0 1 0 -2] [-2 1 0 1 0 4 -2 1 -2 0 -1 1 1 -1 -2 0 -2 0 1 0 0 1] [ 1 -2 1 1 -1 -2 6 2 1 0 0 1 -1 1 -1 2 2 -1 -1 -2 0 2] [-1 -1 1 2 0 1 2 4 0 0 0 1 1 0 -3 0 -1 0 1 0 1 1] [ 2 0 2 -2 -2 -2 1 0 6 1 1 -2 -3 1 1 -2 1 1 1 0 -1 1] [ 0 -1 1 -2 -2 0 0 0 1 4 0 1 -2 -1 0 0 -1 -1 1 -2 0 2] [ 1 -2 1 -1 0 -1 0 0 1 0 4 -2 -2 0 -1 -2 1 1 0 -1 -2 1] [-2 0 0 1 0 1 1 1 -2 1 -2 4 2 0 -1 2 -1 -1 0 0 1 1] [-2 2 -2 2 2 1 -1 1 -3 -2 -2 2 6 1 -1 1 -1 1 -1 3 2 -2] [ 1 1 0 -2 0 -1 1 0 1 -1 0 0 1 4 0 -1 1 1 -1 0 0 0] [ 2 2 -1 -2 -1 -2 -1 -3 1 0 -1 -1 -1 0 6 0 1 -1 0 0 1 -3] [-1 0 -1 2 0 0 2 0 -2 0 -2 2 1 -1 0 4 0 -1 -1 0 1 0] [ 2 -1 -1 -1 0 -2 2 -1 1 -1 1 -1 -1 1 1 0 4 0 -1 -1 -1 0] [-1 1 -1 -1 0 0 -1 0 1 -1 1 -1 1 1 -1 -1 0 4 -1 2 0 0] [ 1 0 2 0 0 1 -1 1 1 1 0 0 -1 -1 0 -1 -1 -1 4 -1 0 0] [-2 1 -1 2 1 0 -2 0 0 -2 -1 0 3 0 0 0 -1 2 -1 6 2 -2] [-1 1 -1 1 0 0 0 1 -1 0 -2 1 2 0 1 1 -1 0 0 2 4 -2] [-1 -2 2 0 -2 1 2 1 1 2 1 1 -2 0 -3 0 0 0 0 -2 -2 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1219. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 -1 0 -1 -2 2 0 -1 -1 0 -1 2 2 -1 2 1 0 0 -1] [-2 4 1 -1 0 1 0 2 -1 1 1 1 0 2 -1 -2 0 -1 0 0 0 1] [ 0 1 4 -2 -1 1 1 1 -1 1 1 2 0 2 0 -2 -1 0 0 0 0 0] [-1 -1 -2 6 3 -2 0 0 -2 0 1 0 -2 -1 0 0 2 0 0 2 -1 1] [-1 0 -1 3 8 -3 -3 1 -3 -2 -1 -1 -3 0 1 -3 3 1 0 0 2 -2] [ 0 1 1 -2 -3 6 3 1 -1 3 2 2 2 1 -2 -1 0 -2 2 -2 -1 1] [-1 0 1 0 -3 3 6 0 0 1 2 3 1 1 -3 0 1 -3 -1 -1 0 1] [-2 2 1 0 1 1 0 4 -1 1 0 1 -1 2 -1 -2 0 -1 0 0 0 1] [ 2 -1 -1 -2 -3 -1 0 -1 6 -1 -1 -1 1 0 1 4 -2 1 -2 0 0 0] [ 0 1 1 0 -2 3 1 1 -1 4 1 2 0 1 -1 0 -1 0 2 0 -2 1] [-1 1 1 1 -1 2 2 0 -1 1 4 2 1 1 -1 -1 1 -1 0 0 -1 1] [-1 1 2 0 -1 2 3 1 -1 2 2 4 0 2 -2 -1 0 -1 0 0 0 0] [ 0 0 0 -2 -3 2 1 -1 1 0 1 0 4 0 -1 0 -1 -1 0 -1 0 0] [-1 2 2 -1 0 1 1 2 0 1 1 2 0 4 -1 -2 0 0 0 -1 0 0] [ 2 -1 0 0 1 -2 -3 -1 1 -1 -1 -2 -1 -1 4 1 -1 2 0 1 0 0] [ 2 -2 -2 0 -3 -1 0 -2 4 0 -1 -1 0 -2 1 6 -1 1 -1 1 -1 1] [-1 0 -1 2 3 0 1 0 -2 -1 1 0 -1 0 -1 -1 4 -1 0 -1 1 0] [ 2 -1 0 0 1 -2 -3 -1 1 0 -1 -1 -1 0 2 1 -1 4 1 1 0 -1] [ 1 0 0 0 0 2 -1 0 -2 2 0 0 0 0 0 -1 0 1 4 -1 -1 0] [ 0 0 0 2 0 -2 -1 0 0 0 0 0 -1 -1 1 1 -1 1 -1 4 0 1] [ 0 0 0 -1 2 -1 0 0 0 -2 -1 0 0 0 0 -1 1 0 -1 0 4 -2] [-1 1 0 1 -2 1 1 1 0 1 1 0 0 0 0 1 0 -1 0 1 -2 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1220. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 -1 1 0 2 0 -1 0 0 -1 0 1 0 -2 0 1 2 0 1 0] [ 2 4 2 -1 1 0 2 -1 -1 0 1 0 1 1 0 -2 -1 1 2 0 1 0] [ 1 2 4 1 -1 0 1 -2 1 0 -1 0 -1 2 0 -1 -2 2 1 0 -1 0] [-1 -1 1 4 0 -1 -2 -2 2 -1 0 -1 -2 1 -1 0 -2 1 -2 -1 -2 -1] [ 1 1 -1 0 4 0 -1 1 -1 -1 1 0 0 -1 0 0 1 -1 0 0 1 0] [ 0 0 0 -1 0 4 -1 -1 -2 2 1 0 -1 0 -1 0 0 1 0 2 0 0] [ 2 2 1 -2 -1 -1 6 0 1 1 -1 -1 3 0 2 -1 0 0 3 0 1 1] [ 0 -1 -2 -2 1 -1 0 6 -2 0 -1 2 0 -1 1 0 2 -2 0 1 1 0] [-1 -1 1 2 -1 -2 1 -2 6 -1 -2 -1 1 0 0 2 0 -1 0 -2 -2 1] [ 0 0 0 -1 -1 2 1 0 -1 4 1 -1 1 1 -1 -1 0 0 1 2 0 1] [ 0 1 -1 0 1 1 -1 -1 -2 1 4 -1 1 0 -1 -1 0 0 0 0 1 -1] [-1 0 0 -1 0 0 -1 2 -1 -1 -1 4 0 -1 0 1 0 0 -1 0 1 -1] [ 0 1 -1 -2 0 -1 3 0 1 1 1 0 6 -2 0 1 2 -1 2 0 2 0] [ 1 1 2 1 -1 0 0 -1 0 1 0 -1 -2 4 -1 -2 -2 1 0 0 -1 1] [ 0 0 0 -1 0 -1 2 1 0 -1 -1 0 0 -1 4 1 0 -1 1 0 1 0] [-2 -2 -1 0 0 0 -1 0 2 -1 -1 1 1 -2 1 4 1 -1 -1 0 0 0] [ 0 -1 -2 -2 1 0 0 2 0 0 0 0 2 -2 0 1 4 -2 1 0 1 1] [ 1 1 2 1 -1 1 0 -2 -1 0 0 0 -1 1 -1 -1 -2 4 0 1 0 -1] [ 2 2 1 -2 0 0 3 0 0 1 0 -1 2 0 1 -1 1 0 4 0 1 1] [ 0 0 0 -1 0 2 0 1 -2 2 0 0 0 0 0 0 0 1 0 4 1 0] [ 1 1 -1 -2 1 0 1 1 -2 0 1 1 2 -1 1 0 1 0 1 1 4 -1] [ 0 0 0 -1 0 0 1 0 1 1 -1 -1 0 1 0 0 1 -1 1 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1221. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 1 -1 1 1 0 0 0 0 2 -2 -1 -1 -1 2 -1 -1 -2 1 0] [-2 4 2 -1 1 -1 -1 1 -1 1 -1 -2 0 0 1 -1 -1 -1 2 2 0 1] [-2 2 4 0 2 -1 -2 1 0 0 0 -2 0 1 1 -1 -2 0 0 1 1 1] [ 1 -1 0 4 0 -1 1 -1 1 1 1 2 -1 1 0 -1 -1 0 -1 -2 1 0] [-1 1 2 0 4 -2 -1 -1 0 0 0 -1 0 -1 2 1 -1 0 0 2 2 2] [ 1 -1 -1 -1 -2 4 -1 1 1 -1 1 -1 1 1 -1 -1 2 0 -1 0 0 -1] [ 1 -1 -2 1 -1 -1 4 0 0 0 -1 3 0 0 0 1 1 -1 1 -2 0 0] [ 0 1 1 -1 -1 1 0 4 -1 -1 0 0 -1 1 0 -2 0 0 1 -1 -1 0] [ 0 -1 0 1 0 1 0 -1 4 -1 0 1 2 1 1 -1 0 1 -2 -1 2 1] [ 0 1 0 1 0 -1 0 -1 -1 4 1 0 -2 0 0 -1 0 0 1 1 -1 0] [ 0 -1 0 1 0 1 -1 0 0 1 4 -1 0 0 -1 0 0 1 0 1 0 -1] [ 2 -2 -2 2 -1 -1 3 0 1 0 -1 6 -2 0 0 0 0 1 -1 -4 -1 1] [-2 0 0 -1 0 1 0 -1 2 -2 0 -2 6 1 1 1 0 0 0 2 1 -1] [-1 0 1 1 -1 1 0 1 1 0 0 0 1 4 0 -1 0 1 -1 -1 0 -1] [-1 1 1 0 2 -1 0 0 1 0 -1 0 1 0 4 -1 -1 0 0 1 1 2] [-1 -1 -1 -1 1 -1 1 -2 -1 -1 0 0 1 -1 -1 6 1 0 0 1 0 0] [ 2 -1 -2 -1 -1 2 1 0 0 0 0 0 0 0 -1 1 4 -1 0 0 1 0] [-1 -1 0 0 0 0 -1 0 1 0 1 1 0 1 0 0 -1 4 -1 0 -1 0] [-1 2 0 -1 0 -1 1 1 -2 1 0 -1 0 -1 0 0 0 -1 4 1 -1 0] [-2 2 1 -2 2 0 -2 -1 -1 1 1 -4 2 -1 1 1 0 0 1 6 1 0] [ 1 0 1 1 2 0 0 -1 2 -1 0 -1 1 0 1 0 1 -1 -1 1 6 1] [ 0 1 1 0 2 -1 0 0 1 0 -1 1 -1 -1 2 0 0 0 0 0 1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1222. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 0 -1 0 -1 2 0 1 -2 0 2 0 -1 1 -1 -1 0 0 0 1 -2] [ 0 4 2 1 -1 -1 1 -2 2 -1 0 -1 2 -2 1 -2 -2 0 1 1 0 2] [ 0 2 6 -2 1 -1 0 -3 0 0 -2 -2 1 -2 2 0 -3 -2 0 -1 -1 -1] [-1 1 -2 6 -1 1 1 0 2 -2 0 -2 0 1 0 -1 -1 2 0 0 0 4] [ 0 -1 1 -1 4 1 0 1 0 -1 -2 0 -1 1 1 1 0 -1 -2 -2 1 0] [-1 -1 -1 1 1 4 -1 1 1 1 -1 -1 -2 1 1 2 2 -1 -2 -1 0 2] [ 2 1 0 1 0 -1 4 -1 1 -3 0 0 0 -1 0 -2 -2 1 1 0 1 -1] [ 0 -2 -3 0 1 1 -1 4 0 1 0 1 -1 2 0 1 3 1 -1 0 0 1] [ 1 2 0 2 0 1 1 0 4 -1 0 0 0 0 2 -1 -1 0 0 0 0 3] [-2 -1 0 -2 -1 1 -3 1 -1 6 0 -1 0 1 -1 1 3 -1 0 0 -1 1] [ 0 0 -2 0 -2 -1 0 0 0 0 4 1 0 0 -1 -1 1 0 2 2 0 -1] [ 2 -1 -2 -2 0 -1 0 1 0 -1 1 6 1 1 -1 1 0 0 1 1 0 -1] [ 0 2 1 0 -1 -2 0 -1 0 0 0 1 4 -1 -1 -1 -1 0 1 1 0 1] [-1 -2 -2 1 1 1 -1 2 0 1 0 1 -1 4 -1 1 1 1 0 0 -1 2] [ 1 1 2 0 1 1 0 0 2 -1 -1 -1 -1 -1 4 0 -1 -1 -1 -1 0 1] [-1 -2 0 -1 1 2 -2 1 -1 1 -1 1 -1 1 0 4 1 -1 -1 -1 -1 0] [-1 -2 -3 -1 0 2 -2 3 -1 3 1 0 -1 1 -1 1 6 0 -1 0 0 0] [ 0 0 -2 2 -1 -1 1 1 0 -1 0 0 0 1 -1 -1 0 4 1 1 0 1] [ 0 1 0 0 -2 -2 1 -1 0 0 2 1 1 0 -1 -1 -1 1 4 1 -1 0] [ 0 1 -1 0 -2 -1 0 0 0 0 2 1 1 0 -1 -1 0 1 1 4 0 0] [ 1 0 -1 0 1 0 1 0 0 -1 0 0 0 -1 0 -1 0 0 -1 0 4 -1] [-2 2 -1 4 0 2 -1 1 3 1 -1 -1 1 2 1 0 0 1 0 0 -1 8] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1223. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -1 1 2 1 -1 1 -1 -2 0 0 -1 1 2 -1 -2 -1 -1 -1 1] [ 1 4 -1 0 2 1 0 0 0 0 -2 1 -1 1 -1 1 1 -2 0 0 1 -1] [-1 -1 4 -1 0 0 1 -1 1 -1 -1 1 -1 0 0 0 0 -1 -1 -1 0 0] [-1 0 -1 4 0 0 -2 2 -1 1 1 -1 -1 -1 0 0 1 0 1 0 0 -1] [ 1 2 0 0 4 2 0 0 -1 1 -1 0 0 0 1 1 1 -2 -1 -1 1 0] [ 2 1 0 0 2 4 0 0 1 -1 -2 0 0 0 2 2 -1 -1 -2 -2 -1 0] [ 1 0 1 -2 0 0 4 0 1 0 -2 0 1 0 1 1 -1 -2 0 0 0 0] [-1 0 -1 2 0 0 0 4 0 2 1 0 0 0 0 0 0 1 0 1 1 -1] [ 1 0 1 -1 -1 1 1 0 4 -1 -1 1 0 1 0 0 -2 0 -1 -1 0 1] [-1 0 -1 1 1 -1 0 2 -1 4 2 -1 1 0 0 -1 1 0 1 1 2 0] [-2 -2 -1 1 -1 -2 -2 1 -1 2 6 -1 1 -1 -1 -2 0 3 2 2 0 0] [ 0 1 1 -1 0 0 0 0 1 -1 -1 4 0 2 0 0 1 1 -1 1 0 -1] [ 0 -1 -1 -1 0 0 1 0 0 1 1 0 4 0 1 -1 -1 1 1 1 0 1] [-1 1 0 -1 0 0 0 0 1 0 -1 2 0 4 0 -1 1 1 -1 0 1 -1] [ 1 -1 0 0 1 2 1 0 0 0 -1 0 1 0 4 1 0 0 -1 -1 -1 0] [ 2 1 0 0 1 2 1 0 0 -1 -2 0 -1 -1 1 4 -1 -2 -1 -1 -1 0] [-1 1 0 1 1 -1 -1 0 -2 1 0 1 -1 1 0 -1 4 0 0 1 1 -2] [-2 -2 -1 0 -2 -1 -2 1 0 0 3 1 1 1 0 -2 0 6 0 2 0 0] [-1 0 -1 1 -1 -2 0 0 -1 1 2 -1 1 -1 -1 -1 0 0 4 1 0 0] [-1 0 -1 0 -1 -2 0 1 -1 1 2 1 1 0 -1 -1 1 2 1 4 1 -1] [-1 1 0 0 1 -1 0 1 0 2 0 0 0 1 -1 -1 1 0 0 1 4 0] [ 1 -1 0 -1 0 0 0 -1 1 0 0 -1 1 -1 0 0 -2 0 0 -1 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1224. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 2 0 1 2 -1 0 1 -2 -1 -1 -1 1 -1 0 1 1 -1 0 -2] [ 2 4 0 2 1 0 2 0 -1 1 -2 -1 -1 1 0 -2 1 2 2 0 1 -1] [ 2 0 4 2 -1 0 1 -1 1 1 -1 1 -1 0 0 1 -1 -1 -1 0 0 -2] [ 2 2 2 4 0 1 1 -1 0 1 -2 1 -1 1 0 -1 0 0 1 -1 0 -2] [ 0 1 -1 0 4 -1 1 1 1 0 1 -1 1 1 -1 0 -1 0 2 0 1 0] [ 1 0 0 1 -1 4 0 0 -1 -1 -2 1 1 -1 0 -1 1 0 0 0 0 0] [ 2 2 1 1 1 0 4 1 1 1 -2 -1 0 0 -1 -1 0 0 1 0 0 -1] [-1 0 -1 -1 1 0 1 4 1 -1 1 0 1 0 -1 0 1 -1 0 1 1 0] [ 0 -1 1 0 1 -1 1 1 4 0 0 0 0 1 0 0 -2 -2 0 -1 -1 -1] [ 1 1 1 1 0 -1 1 -1 0 4 -1 -1 -2 0 -1 0 1 0 0 -1 0 0] [-2 -2 -1 -2 1 -2 -2 1 0 -1 6 -1 1 0 0 2 0 0 0 0 1 1] [-1 -1 1 1 -1 1 -1 0 0 -1 -1 4 1 0 -1 0 0 -1 -1 0 -1 -1] [-1 -1 -1 -1 1 1 0 1 0 -2 1 1 4 -1 0 0 0 -1 1 1 0 1] [-1 1 0 1 1 -1 0 0 1 0 0 0 -1 4 -1 0 -1 0 0 0 1 0] [ 1 0 0 0 -1 0 -1 -1 0 -1 0 -1 0 -1 4 -1 -1 0 1 0 -1 0] [-1 -2 1 -1 0 -1 -1 0 0 0 2 0 0 0 -1 4 0 -1 -2 1 1 1] [ 0 1 -1 0 -1 1 0 1 -2 1 0 0 0 -1 -1 0 4 1 0 0 1 1] [ 1 2 -1 0 0 0 0 -1 -2 0 0 -1 -1 0 0 -1 1 4 1 0 1 0] [ 1 2 -1 1 2 0 1 0 0 0 0 -1 1 0 1 -2 0 1 4 -1 0 0] [-1 0 0 -1 0 0 0 1 -1 -1 0 0 1 0 0 1 0 0 -1 4 2 1] [ 0 1 0 0 1 0 0 1 -1 0 1 -1 0 1 -1 1 1 1 0 2 4 0] [-2 -1 -2 -2 0 0 -1 0 -1 0 1 -1 1 0 0 1 1 0 0 1 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1225. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -2 -2 0 -1 0 1 2 0 1 0 -1 0 0 1 2 -2 0 1 1] [-2 4 1 1 1 -1 0 -1 0 -2 0 1 1 1 1 -1 1 -2 1 1 -1 0] [-2 1 4 2 2 0 0 0 -1 0 -1 0 0 1 1 1 0 0 1 0 1 0] [-2 1 2 4 2 1 -1 -1 -1 0 0 0 1 2 1 -1 1 -1 1 -1 1 -1] [-2 1 2 2 4 -1 -1 -1 -2 -1 0 0 0 1 1 1 1 -1 2 1 -1 -1] [ 0 -1 0 1 -1 4 0 1 1 2 1 -1 -1 1 1 -1 0 0 0 -2 0 1] [-1 0 0 -1 -1 0 4 0 1 0 1 0 -1 0 -1 1 -1 0 0 0 0 1] [ 0 -1 0 -1 -1 1 0 4 0 -1 -1 -1 -1 -1 0 0 -1 1 0 0 -1 0] [ 1 0 -1 -1 -2 1 1 0 4 2 1 0 1 1 -1 0 0 0 0 -1 1 2] [ 2 -2 0 0 -1 2 0 -1 2 6 1 -1 0 0 0 1 0 2 0 -1 3 1] [ 0 0 -1 0 0 1 1 -1 1 1 4 -1 0 1 0 0 1 0 1 -1 0 1] [ 1 1 0 0 0 -1 0 -1 0 -1 -1 4 1 0 0 -1 2 0 -1 0 -1 0] [ 0 1 0 1 0 -1 -1 -1 1 0 0 1 4 0 0 -1 1 -1 1 0 1 0] [-1 1 1 2 1 1 0 -1 1 0 1 0 0 4 0 0 1 -1 0 -1 1 1] [ 0 1 1 1 1 1 -1 0 -1 0 0 0 0 0 4 -1 1 -1 1 1 -1 1] [ 0 -1 1 -1 1 -1 1 0 0 1 0 -1 -1 0 -1 4 0 1 0 1 1 1] [ 1 1 0 1 1 0 -1 -1 0 0 1 2 1 1 1 0 4 0 0 0 0 1] [ 2 -2 0 -1 -1 0 0 1 0 2 0 0 -1 -1 -1 1 0 4 -1 0 2 0] [-2 1 1 1 2 0 0 0 0 0 1 -1 1 0 1 0 0 -1 4 0 -1 0] [ 0 1 0 -1 1 -2 0 0 -1 -1 -1 0 0 -1 1 1 0 0 0 4 0 0] [ 1 -1 1 1 -1 0 0 -1 1 3 0 -1 1 1 -1 1 0 2 -1 0 6 0] [ 1 0 0 -1 -1 1 1 0 2 1 1 0 0 1 1 1 1 0 0 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1226. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 0 -1 0 1 -1 1 0 -1 1 -1 0 -2 -1 0 2 0 -1 0] [-2 4 1 -1 0 1 1 0 2 1 0 1 0 1 0 1 1 -1 -1 0 1 -1] [ 0 1 4 -2 0 2 0 -1 2 1 0 1 1 2 0 1 0 0 0 0 -1 1] [-1 -1 -2 6 2 0 -2 -2 -3 -1 2 0 0 0 -2 1 -1 1 0 2 0 0] [ 0 0 0 2 4 1 -2 -1 -1 0 2 0 -1 0 0 -1 -2 -1 0 2 0 -1] [-1 1 2 0 1 4 -1 -2 2 1 0 0 1 2 1 1 -1 0 0 0 -1 1] [ 0 1 0 -2 -2 -1 4 0 2 1 0 1 0 0 1 0 1 -1 1 -1 1 -1] [ 1 0 -1 -2 -1 -2 0 4 -1 -1 -1 0 0 -2 0 -1 1 0 0 -1 1 0] [-1 2 2 -3 -1 2 2 -1 6 2 -1 1 0 2 1 0 0 -2 -1 -2 0 0] [ 1 1 1 -1 0 1 1 -1 2 4 0 0 1 1 0 0 0 0 1 -1 -1 0] [ 0 0 0 2 2 0 0 -1 -1 0 4 0 0 1 -1 -1 0 -1 1 2 0 -1] [-1 1 1 0 0 0 1 0 1 0 0 4 0 0 0 1 -1 0 0 0 0 1] [ 1 0 1 0 -1 1 0 0 0 1 0 0 4 0 0 0 1 0 2 0 0 1] [-1 1 2 0 0 2 0 -2 2 1 1 0 0 4 -1 1 0 0 -1 0 -1 1] [ 0 0 0 -2 0 1 1 0 1 0 -1 0 0 -1 4 0 -1 -1 1 0 1 -1] [-2 1 1 1 -1 1 0 -1 0 0 -1 1 0 1 0 4 0 2 -1 0 0 1] [-1 1 0 -1 -2 -1 1 1 0 0 0 -1 1 0 -1 0 4 0 0 -1 1 0] [ 0 -1 0 1 -1 0 -1 0 -2 0 -1 0 0 0 -1 2 0 4 0 0 -1 2] [ 2 -1 0 0 0 0 1 0 -1 1 1 0 2 -1 1 -1 0 0 4 0 0 0] [ 0 0 0 2 2 0 -1 -1 -2 -1 2 0 0 0 0 0 -1 0 0 4 1 -1] [-1 1 -1 0 0 -1 1 1 0 -1 0 0 0 -1 1 0 1 -1 0 1 4 -2] [ 0 -1 1 0 -1 1 -1 0 0 0 -1 1 1 1 -1 1 0 2 0 -1 -2 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1227. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 -1 1 -1 -2 -1 -2 2 -2 2 0 1 -1 -1 0 1 -1 2] [ 1 4 0 -2 0 1 1 1 0 1 0 1 1 0 0 -1 -1 0 -1 2 0 1] [-1 0 4 2 -2 2 0 1 0 2 2 0 1 -1 -1 0 -1 2 -1 0 1 0] [-2 -2 2 6 0 0 -1 -1 2 0 2 -1 -1 0 -2 2 2 0 1 -1 2 0] [ 1 0 -2 0 4 -2 1 -2 1 -1 -2 0 0 1 -1 1 0 -2 1 0 -1 1] [-1 1 2 0 -2 4 1 1 0 2 1 -1 2 -2 1 -1 -1 1 0 1 0 -1] [ 1 1 0 -1 1 1 4 0 -1 0 -2 1 0 0 0 0 0 0 0 1 -1 1] [-1 1 1 -1 -2 1 0 4 -1 1 2 0 0 -1 0 -2 0 2 -2 1 1 -1] [-2 0 0 2 1 0 -1 -1 4 0 0 -1 1 0 0 1 0 -1 0 0 1 0] [-1 1 2 0 -1 2 0 1 0 4 1 -1 2 -2 0 -1 -1 2 0 1 0 -1] [-2 0 2 2 -2 1 -2 2 0 1 6 -2 1 -1 -1 -1 1 2 0 -1 2 -1] [ 2 1 0 -1 0 -1 1 0 -1 -1 -2 4 -1 1 -1 0 0 0 -1 0 -1 1] [-2 1 1 -1 0 2 0 0 1 2 1 -1 6 -3 1 -2 -1 0 1 0 -1 -1] [ 2 0 -1 0 1 -2 0 -1 0 -2 -1 1 -3 4 -1 2 0 -1 -1 0 1 2] [ 0 0 -1 -2 -1 1 0 0 0 0 -1 -1 1 -1 4 -1 -1 -1 1 1 -1 0] [ 1 -1 0 2 1 -1 0 -2 1 -1 -1 0 -2 2 -1 4 1 -1 0 0 1 2] [-1 -1 -1 2 0 -1 0 0 0 -1 1 0 -1 0 -1 1 4 0 1 -1 1 0] [-1 0 2 0 -2 1 0 2 -1 2 2 0 0 -1 -1 -1 0 4 -1 0 1 -1] [ 0 -1 -1 1 1 0 0 -2 0 0 0 -1 1 -1 1 0 1 -1 4 -1 -1 0] [ 1 2 0 -1 0 1 1 1 0 1 -1 0 0 0 1 0 -1 0 -1 4 1 1] [-1 0 1 2 -1 0 -1 1 1 0 2 -1 -1 1 -1 1 1 1 -1 1 4 0] [ 2 1 0 0 1 -1 1 -1 0 -1 -1 1 -1 2 0 2 0 -1 0 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1228. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 1 -1 0 0 1 -1 -2 0 1 2 -1 -2 0 -2 -2 -1 0] [-2 4 -2 2 1 -1 1 1 -1 0 1 2 0 -2 -1 0 2 0 2 1 1 -1] [ 2 -2 4 -2 -1 0 -1 -1 0 0 -1 -1 -1 2 1 0 -2 -1 -1 0 -1 0] [-2 2 -2 4 1 -1 2 0 -1 -1 1 1 1 -2 -2 1 1 1 2 0 1 -1] [ 0 1 -1 1 4 1 2 0 1 1 2 1 1 -2 0 -1 2 -1 -1 1 -1 1] [ 1 -1 0 -1 1 4 1 -1 2 1 1 0 1 0 2 -1 1 0 -1 1 -2 2] [-1 1 -1 2 2 1 4 0 1 1 2 2 2 -1 -1 -1 2 -1 1 0 -1 1] [ 0 1 -1 0 0 -1 0 4 0 1 0 1 1 -1 0 -1 -1 0 0 0 0 0] [ 0 -1 0 -1 1 2 1 0 4 1 0 1 1 0 1 0 0 -1 -1 2 -1 2] [ 1 0 0 -1 1 1 1 1 1 4 0 1 0 1 1 -1 0 -2 -1 -1 0 1] [-1 1 -1 1 2 1 2 0 0 0 4 1 2 -1 -1 -1 3 -1 0 1 -1 1] [-2 2 -1 1 1 0 2 1 1 1 1 4 1 -1 0 0 1 -1 1 1 0 0] [ 0 0 -1 1 1 1 2 1 1 0 2 1 4 -1 -1 0 0 0 0 0 -1 0] [ 1 -2 2 -2 -2 0 -1 -1 0 1 -1 -1 -1 4 1 0 -1 -1 0 -1 0 0] [ 2 -1 1 -2 0 2 -1 0 1 1 -1 0 -1 1 4 -1 -1 0 -1 0 -1 1] [-1 0 0 1 -1 -1 -1 -1 0 -1 -1 0 0 0 -1 4 -1 1 1 1 2 -2] [-2 2 -2 1 2 1 2 -1 0 0 3 1 0 -1 -1 -1 6 0 1 1 0 1] [ 0 0 -1 1 -1 0 -1 0 -1 -2 -1 -1 0 -1 0 1 0 4 1 0 1 -1] [-2 2 -1 2 -1 -1 1 0 -1 -1 0 1 0 0 -1 1 1 1 4 0 1 -1] [-2 1 0 0 1 1 0 0 2 -1 1 1 0 -1 0 1 1 0 0 6 0 1] [-1 1 -1 1 -1 -2 -1 0 -1 0 -1 0 -1 0 -1 2 0 1 1 0 4 -2] [ 0 -1 0 -1 1 2 1 0 2 1 1 0 0 0 1 -2 1 -1 -1 1 -2 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1229. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 1 1 1 -1 0 -1 0 -2 1 1 1 0 1 2 -1 0 0 0] [-2 4 -2 2 -1 -2 -2 2 0 0 0 1 -2 -1 0 1 -1 -2 2 0 0 0] [ 2 -2 4 -2 0 1 2 -1 1 0 -1 -1 2 1 0 -1 1 2 -1 0 -1 1] [-2 2 -2 4 -1 0 -1 1 -1 -1 0 2 -2 -1 0 0 -1 -2 0 0 0 0] [ 1 -1 0 -1 4 -1 0 -2 -1 1 2 -1 2 -1 0 -1 1 1 -1 -1 0 1] [ 1 -2 1 0 -1 4 2 -1 1 -1 -1 -1 1 0 1 -1 1 0 -2 1 1 0] [ 1 -2 2 -1 0 2 4 -1 1 0 0 0 2 0 1 0 2 0 -2 1 -1 0] [-1 2 -1 1 -2 -1 -1 4 0 0 0 1 -3 1 0 2 -2 -1 2 1 -1 -1] [ 0 0 1 -1 -1 1 1 0 4 1 -1 -1 2 0 -1 0 0 0 0 1 1 -1] [-1 0 0 -1 1 -1 0 0 1 4 1 0 0 -1 -1 0 1 0 0 -1 0 0] [ 0 0 -1 0 2 -1 0 0 -1 1 4 1 0 0 0 1 1 -1 -1 -1 0 -1] [-2 1 -1 2 -1 -1 0 1 -1 0 1 4 -1 0 0 1 0 -1 0 -1 -1 0] [ 1 -2 2 -2 2 1 2 -3 2 0 0 -1 6 -1 0 -1 1 1 -1 0 1 1] [ 1 -1 1 -1 -1 0 0 1 0 -1 0 0 -1 4 -1 1 -1 1 0 1 0 -1] [ 1 0 0 0 0 1 1 0 -1 -1 0 0 0 -1 4 1 1 0 0 1 0 0] [ 0 1 -1 0 -1 -1 0 2 0 0 1 1 -1 1 1 4 0 -1 1 1 0 -1] [ 1 -1 1 -1 1 1 2 -2 0 1 1 0 1 -1 1 0 4 0 -2 -1 0 1] [ 2 -2 2 -2 1 0 0 -1 0 0 -1 -1 1 1 0 -1 0 4 0 0 0 1] [-1 2 -1 0 -1 -2 -2 2 0 0 -1 0 -1 0 0 1 -2 0 4 0 0 0] [ 0 0 0 0 -1 1 1 1 1 -1 -1 -1 0 1 1 1 -1 0 0 4 1 -1] [ 0 0 -1 0 0 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 1 4 -1] [ 0 0 1 0 1 0 0 -1 -1 0 -1 0 1 -1 0 -1 1 1 0 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1230. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 1 0 0 0 -1 1 2 -2 0 1 1 -1 -1 1 -2 0 2 2 1] [-1 4 1 -2 -1 1 1 2 -2 0 2 1 -2 0 1 1 -2 2 -1 -1 -2 -2] [ 0 1 4 1 -2 0 0 -1 1 -1 1 -1 -1 0 0 1 -1 2 1 -2 1 -2] [ 1 -2 1 4 -1 0 -1 -2 1 -1 -2 0 1 0 0 -1 1 0 2 -1 2 0] [ 0 -1 -2 -1 4 -1 -1 1 0 1 0 -1 1 -1 -1 -1 2 0 0 0 1 2] [ 0 1 0 0 -1 4 2 1 -1 0 -1 0 0 -1 2 1 -1 1 -1 -1 0 1] [ 0 1 0 -1 -1 2 4 0 -1 0 -1 0 0 -1 0 0 -1 -1 0 0 0 -1] [-1 2 -1 -2 1 1 0 4 -1 1 2 0 -1 0 1 0 -1 1 -1 -1 -2 1] [ 1 -2 1 1 0 -1 -1 -1 4 1 0 -1 0 0 0 0 0 0 1 0 2 1] [ 2 0 -1 -1 1 0 0 1 1 4 0 0 0 1 -1 0 1 -1 -1 2 1 2] [-2 2 1 -2 0 -1 -1 2 0 0 6 1 -1 -1 0 2 -1 2 -1 0 -2 0] [ 0 1 -1 0 -1 0 0 0 -1 0 1 4 -1 0 1 0 0 -1 -1 2 -2 -1] [ 1 -2 -1 1 1 0 0 -1 0 0 -1 -1 4 -1 -1 -1 1 -2 1 1 1 1] [ 1 0 0 0 -1 -1 -1 0 0 1 -1 0 -1 4 -1 0 0 -1 -1 1 0 0] [-1 1 0 0 -1 2 0 1 0 -1 0 1 -1 -1 4 0 -2 1 0 -1 -2 0] [-1 1 1 -1 -1 1 0 0 0 0 2 0 -1 0 0 4 0 2 -2 0 0 1] [ 1 -2 -1 1 2 -1 -1 -1 0 1 -1 0 1 0 -2 0 4 -1 0 1 2 2] [-2 2 2 0 0 1 -1 1 0 -1 2 -1 -2 -1 1 2 -1 6 0 -3 1 0] [ 0 -1 1 2 0 -1 0 -1 1 -1 -1 -1 1 -1 0 -2 0 0 4 -2 1 -1] [ 2 -1 -2 -1 0 -1 0 -1 0 2 0 2 1 1 -1 0 1 -3 -2 6 0 1] [ 2 -2 1 2 1 0 0 -2 2 1 -2 -2 1 0 -2 0 2 1 1 0 6 1] [ 1 -2 -2 0 2 1 -1 1 1 2 0 -1 1 0 0 1 2 0 -1 1 1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1231. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 0 0 1 -1 2 1 0 -2 1 1 0 1 0 0 0 0 2 0 1] [-2 4 -1 -1 -1 -2 -1 -2 -2 -1 2 -1 -1 -1 -1 -1 1 -1 0 -1 -1 0] [ 0 -1 4 0 2 2 0 0 1 0 -1 -1 1 2 0 0 0 2 0 0 1 0] [ 0 -1 0 4 0 -1 1 1 1 -1 -1 -1 -1 0 1 2 0 0 1 1 0 0] [ 0 -1 2 0 4 0 1 0 0 1 0 -1 2 0 -1 -1 1 0 -1 0 1 1] [ 1 -2 2 -1 0 6 -1 1 2 2 -1 0 0 1 2 1 -2 1 -1 0 0 1] [-1 -1 0 1 1 -1 4 -1 -1 1 1 -1 0 1 0 0 -1 0 -1 -1 0 0] [ 2 -2 0 1 0 1 -1 4 1 -1 -2 0 0 -1 1 0 -1 0 0 2 0 1] [ 1 -2 1 1 0 2 -1 1 4 1 -2 1 1 1 1 1 0 1 0 1 0 0] [ 0 -1 0 -1 1 2 1 -1 1 4 1 0 1 0 1 0 -1 0 -1 -1 0 0] [-2 2 -1 -1 0 -1 1 -2 -2 1 4 -1 0 -1 0 0 0 0 0 -1 -1 0] [ 1 -1 -1 -1 -1 0 -1 0 1 0 -1 4 1 0 0 0 0 0 1 0 1 -1] [ 1 -1 1 -1 2 0 0 0 1 1 0 1 4 0 0 -1 1 1 0 0 0 1] [ 0 -1 2 0 0 1 1 -1 1 0 -1 0 0 4 0 0 0 2 0 -1 0 -1] [ 1 -1 0 1 -1 2 0 1 1 1 0 0 0 0 4 2 -2 0 1 1 0 1] [ 0 -1 0 2 -1 1 0 0 1 0 0 0 -1 0 2 4 -1 0 2 1 1 0] [ 0 1 0 0 1 -2 -1 -1 0 -1 0 0 1 0 -2 -1 4 0 0 0 0 0] [ 0 -1 2 0 0 1 0 0 1 0 0 0 1 2 0 0 0 4 1 0 0 -1] [ 0 0 0 1 -1 -1 -1 0 0 -1 0 1 0 0 1 2 0 1 4 0 1 -1] [ 2 -1 0 1 0 0 -1 2 1 -1 -1 0 0 -1 1 1 0 0 0 4 1 1] [ 0 -1 1 0 1 0 0 0 0 0 -1 1 0 0 0 1 0 0 1 1 4 -1] [ 1 0 0 0 1 1 0 1 0 0 0 -1 1 -1 1 0 0 -1 -1 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1232. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 2 -1 1 0 0 1 2 0 1 1 0 0 0 0 -1 -1 0 2 0 -1] [ 2 4 0 -2 -1 0 0 0 0 -1 0 1 1 0 1 -1 0 1 -1 0 0 -1] [ 2 0 6 1 2 0 0 3 3 1 3 1 -2 -1 -2 -1 -2 0 2 2 1 1] [-1 -2 1 6 3 -1 1 1 1 2 -1 2 0 -1 -1 -1 2 1 0 1 -2 2] [ 1 -1 2 3 6 1 2 2 2 1 1 1 0 -2 -2 -2 1 -1 0 2 -1 1] [ 0 0 0 -1 1 4 2 -1 0 1 0 -1 1 -1 0 0 -1 0 -1 0 1 0] [ 0 0 0 1 2 2 4 1 0 2 0 1 2 -2 0 0 1 0 -2 0 -1 0] [ 1 0 3 1 2 -1 1 4 1 1 2 1 -1 -1 -1 -1 0 0 1 1 0 0] [ 2 0 3 1 2 0 0 1 4 1 2 1 -1 0 -2 0 -1 -1 0 2 0 0] [ 0 -1 1 2 1 1 2 1 1 4 1 1 1 -1 0 1 0 0 -1 0 -1 1] [ 1 0 3 -1 1 0 0 2 2 1 4 0 -1 0 -1 0 -1 -1 1 1 1 0] [ 1 1 1 2 1 -1 1 1 1 1 0 4 1 0 0 -1 1 1 -1 0 -1 0] [ 0 1 -2 0 0 1 2 -1 -1 1 -1 1 4 0 2 0 1 0 -2 -1 -1 -1] [ 0 0 -1 -1 -2 -1 -2 -1 0 -1 0 0 0 4 1 0 -1 -1 1 -1 0 -1] [ 0 1 -2 -1 -2 0 0 -1 -2 0 -1 0 2 1 4 0 1 1 0 -1 0 0] [ 0 -1 -1 -1 -2 0 0 -1 0 1 0 -1 0 0 0 4 0 -1 -1 0 0 0] [-1 0 -2 2 1 -1 1 0 -1 0 -1 1 1 -1 1 0 4 1 -1 0 -1 1] [-1 1 0 1 -1 0 0 0 -1 0 -1 1 0 -1 1 -1 1 4 0 0 1 1] [ 0 -1 2 0 0 -1 -2 1 0 -1 1 -1 -2 1 0 -1 -1 0 4 0 1 1] [ 2 0 2 1 2 0 0 1 2 0 1 0 -1 -1 -1 0 0 0 0 4 1 0] [ 0 0 1 -2 -1 1 -1 0 0 -1 1 -1 -1 0 0 0 -1 1 1 1 4 -1] [-1 -1 1 2 1 0 0 0 0 1 0 0 -1 -1 0 0 1 1 1 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1233. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 -2 0 -1 -1 0 -1 -1 -1 1 0 -2 1 1 2 2 -2 0 -1 -2] [-1 4 0 0 1 1 -1 -1 2 0 2 1 1 1 -1 -1 -2 -1 0 0 1 1] [ 2 0 4 -1 -1 1 -2 0 1 0 0 2 0 0 1 1 0 0 -2 -1 0 -2] [-2 0 -1 4 1 -1 0 0 -1 0 1 -2 -1 2 -1 1 0 -2 1 1 1 2] [ 0 1 -1 1 4 0 1 -1 -1 -1 2 0 1 1 -2 1 1 0 -1 1 0 2] [-1 1 1 -1 0 4 0 0 1 1 0 2 1 0 -1 0 -2 0 0 0 0 -1] [-1 -1 -2 0 1 0 4 1 0 0 0 0 0 0 0 -1 1 0 0 0 0 1] [ 0 -1 0 0 -1 0 1 4 -1 1 -2 1 -2 1 1 -1 0 0 0 -1 -1 0] [-1 2 1 -1 -1 1 0 -1 6 -1 0 2 1 -1 1 0 -1 0 0 -2 0 -1] [-1 0 0 0 -1 1 0 1 -1 4 1 -1 -1 2 -1 -1 -2 0 1 -1 1 -1] [-1 2 0 1 2 0 0 -2 0 1 6 0 2 2 -1 -1 -1 -1 -1 0 3 1] [ 1 1 2 -2 0 2 0 1 2 -1 0 6 0 0 2 0 0 1 -1 -1 -1 -2] [ 0 1 0 -1 1 1 0 -2 1 -1 2 0 4 -2 -1 0 -1 0 -1 1 1 1] [-2 1 0 2 1 0 0 1 -1 2 2 0 -2 6 -1 -1 -1 -2 0 -1 1 2] [ 1 -1 1 -1 -2 -1 0 1 1 -1 -1 2 -1 -1 4 -1 1 0 0 -1 0 -2] [ 1 -1 1 1 1 0 -1 -1 0 -1 -1 0 0 -1 -1 4 1 1 0 1 -1 -1] [ 2 -2 0 0 1 -2 1 0 -1 -2 -1 0 -1 -1 1 1 4 1 -1 0 -1 0] [ 2 -1 0 -2 0 0 0 0 0 0 -1 1 0 -2 0 1 1 4 0 0 -1 -2] [-2 0 -2 1 -1 0 0 0 0 1 -1 -1 -1 0 0 0 -1 0 4 0 0 0] [ 0 0 -1 1 1 0 0 -1 -2 -1 0 -1 1 -1 -1 1 0 0 0 4 1 1] [-1 1 0 1 0 0 0 -1 0 1 3 -1 1 1 0 -1 -1 -1 0 1 4 0] [-2 1 -2 2 2 -1 1 0 -1 -1 1 -2 1 2 -2 -1 0 -2 0 1 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1234. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 -1 1 -1 -2 0 0 -2 -2 1 0 0 1 0 -1 -1 -2 1 0] [-2 4 -2 -1 1 -2 -1 1 0 -1 2 2 -2 -1 -1 0 1 0 0 2 0 -1] [ 2 -2 4 0 -1 2 0 -1 0 -1 -2 -1 1 0 1 0 -1 -1 0 -2 0 0] [ 1 -1 0 4 1 1 0 -2 0 -1 -1 -1 2 1 1 -1 1 1 0 -1 -1 2] [-1 1 -1 1 4 0 -1 0 0 1 1 1 -1 1 1 1 1 0 0 1 1 1] [ 1 -2 2 1 0 4 1 0 1 -1 -2 -1 2 0 2 -1 -1 -1 1 -1 0 0] [-1 -1 0 0 -1 1 4 0 1 0 0 0 2 -1 0 0 -2 1 1 1 -2 0] [-2 1 -1 -2 0 0 0 6 0 2 1 0 -3 0 -1 -1 1 1 -1 1 2 -2] [ 0 0 0 0 0 1 1 0 4 0 0 -1 -1 0 0 0 -2 1 2 1 1 -1] [ 0 -1 -1 -1 1 -1 0 2 0 6 0 0 -2 2 -1 1 1 1 0 0 1 0] [-2 2 -2 -1 1 -2 0 1 0 0 4 2 -2 -1 0 0 0 0 0 2 0 -1] [-2 2 -1 -1 1 -1 0 0 -1 0 2 4 -1 0 0 0 1 -1 1 1 -2 0] [ 1 -2 1 2 -1 2 2 -3 -1 -2 -2 -1 6 0 2 0 -1 0 0 -1 -3 2] [ 0 -1 0 1 1 0 -1 0 0 2 -1 0 0 4 0 0 1 1 0 -1 0 2] [ 0 -1 1 1 1 2 0 -1 0 -1 0 0 2 0 4 0 -1 -1 1 0 0 0] [ 1 0 0 -1 1 -1 0 -1 0 1 0 0 0 0 0 4 -1 0 -1 1 1 0] [ 0 1 -1 1 1 -1 -2 1 -2 1 0 1 -1 1 -1 -1 4 0 -1 -1 0 1] [-1 0 -1 1 0 -1 1 1 1 1 0 -1 0 1 -1 0 0 4 0 1 0 1] [-1 0 0 0 0 1 1 -1 2 0 0 1 0 0 1 -1 -1 0 4 0 -1 0] [-2 2 -2 -1 1 -1 1 1 1 0 2 1 -1 -1 0 1 -1 1 0 4 1 -1] [ 1 0 0 -1 1 0 -2 2 1 1 0 -2 -3 0 0 1 0 0 -1 1 6 -2] [ 0 -1 0 2 1 0 0 -2 -1 0 -1 0 2 2 0 0 1 1 0 -1 -2 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1235. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 1 -2 -1 -2 0 1 1 -1 -1 0 -1 -1 -2 0 -2 -2 -2 -2 -1] [-1 4 0 -2 -1 -1 1 -1 0 -1 0 1 1 0 0 -1 -1 0 0 1 0 -1] [ 2 0 4 -1 -1 -1 -2 0 0 -1 -1 0 0 -1 0 -1 -1 -2 -2 -2 -2 0] [ 1 -2 -1 6 -1 2 -2 2 2 0 -1 1 -1 1 -2 2 -1 -1 0 1 -2 -2] [-2 -1 -1 -1 6 2 2 2 -3 -2 0 -2 -1 2 2 2 -1 1 2 -1 3 0] [-1 -1 -1 2 2 6 -2 1 -1 -1 -1 -2 1 2 0 4 0 1 0 2 1 -2] [-2 1 -2 -2 2 -2 6 1 -1 0 2 0 -1 1 0 -2 -1 2 2 1 1 2] [ 0 -1 0 2 2 1 1 4 -1 -1 0 0 -2 1 -1 0 -2 -1 0 0 -1 -1] [ 1 0 0 2 -3 -1 -1 -1 4 1 -1 2 0 0 -2 -1 0 0 0 0 -1 -1] [ 1 -1 -1 0 -2 -1 0 -1 1 4 0 0 1 -1 0 -1 2 0 -1 0 0 1] [-1 0 -1 -1 0 -1 2 0 -1 0 4 -1 0 0 0 -1 0 1 1 0 1 2] [-1 1 0 1 -2 -2 0 0 2 0 -1 6 -2 0 0 0 0 0 1 1 -2 -1] [ 0 1 0 -1 -1 1 -1 -2 0 1 0 -2 4 -1 0 1 0 0 -1 1 1 1] [-1 0 -1 1 2 2 1 1 0 -1 0 0 -1 4 0 1 -1 1 1 0 1 -1] [-1 0 0 -2 2 0 0 -1 -2 0 0 0 0 0 4 1 1 0 1 -1 2 0] [-2 -1 -1 2 2 4 -2 0 -1 -1 -1 0 1 1 1 6 0 1 1 2 1 -1] [ 0 -1 -1 -1 -1 0 -1 -2 0 2 0 0 0 -1 1 0 4 1 0 0 1 1] [-2 0 -2 -1 1 1 2 -1 0 0 1 0 0 1 0 1 1 4 2 2 2 1] [-2 0 -2 0 2 0 2 0 0 -1 1 1 -1 1 1 1 0 2 4 0 2 0] [-2 1 -2 1 -1 2 1 0 0 0 0 1 1 0 -1 2 0 2 0 6 0 0] [-2 0 -2 -2 3 1 1 -1 -1 0 1 -2 1 1 2 1 1 2 2 0 6 0] [-1 -1 0 -2 0 -2 2 -1 -1 1 2 -1 1 -1 0 -1 1 1 0 0 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1236. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 0 2 1 1 2 -2 2 1 1 0 -1 1 -1 -1 1 0 -1 -1 2] [ 1 4 0 1 0 1 2 -1 -1 1 2 2 0 1 1 -1 0 2 1 0 -1 0] [ 1 0 4 -1 0 1 1 2 -1 1 0 0 1 -1 -1 -1 0 -1 1 0 -1 1] [ 0 1 -1 4 -1 0 1 -1 0 0 -1 0 -1 -1 1 -1 0 0 0 1 0 -1] [ 2 0 0 -1 4 -1 0 2 0 2 0 1 1 0 0 0 0 0 0 -2 0 2] [ 1 1 1 0 -1 4 0 1 -2 1 2 -1 -1 0 1 -1 0 1 -1 0 -2 0] [ 1 2 1 1 0 0 4 -1 -1 0 0 1 1 0 1 0 1 0 1 0 0 0] [ 2 -1 2 -1 2 1 -1 6 -2 1 0 -1 -1 -1 -1 -2 -2 -1 -1 -2 -1 1] [-2 -1 -1 0 0 -2 -1 -2 4 0 -2 1 0 0 0 2 0 -1 1 1 1 -1] [ 2 1 1 0 2 1 0 1 0 4 1 1 1 -1 1 -1 0 0 0 -1 -1 2] [ 1 2 0 -1 0 2 0 0 -2 1 4 0 0 1 0 -1 0 2 -1 -1 -1 1] [ 1 2 0 0 1 -1 1 -1 1 1 0 4 0 1 0 0 -1 1 1 0 0 1] [ 0 0 1 -1 1 -1 1 -1 0 1 0 0 4 0 0 0 2 0 1 -1 0 1] [-1 1 -1 -1 0 0 0 -1 0 -1 1 1 0 4 -1 1 0 1 -1 -1 1 0] [ 1 1 -1 1 0 1 1 -1 0 1 0 0 0 -1 4 1 0 0 1 1 0 0] [-1 -1 -1 -1 0 -1 0 -2 2 -1 -1 0 0 1 1 4 0 -1 1 1 2 0] [-1 0 0 0 0 0 1 -2 0 0 0 -1 2 0 0 0 4 0 0 0 0 0] [ 1 2 -1 0 0 1 0 -1 -1 0 2 1 0 1 0 -1 0 4 0 0 -1 0] [ 0 1 1 0 0 -1 1 -1 1 0 -1 1 1 -1 1 1 0 0 4 1 0 0] [-1 0 0 1 -2 0 0 -2 1 -1 -1 0 -1 -1 1 1 0 0 1 4 1 -1] [-1 -1 -1 0 0 -2 0 -1 1 -1 -1 0 0 1 0 2 0 -1 0 1 4 0] [ 2 0 1 -1 2 0 0 1 -1 2 1 1 1 0 0 0 0 0 0 -1 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1237. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 -2 1 2 1 1 0 1 2 1 2 1 -2 -1 2 2 0 -1 -1 2] [ 1 4 0 -2 0 0 0 0 1 2 2 0 0 1 -1 -2 0 1 -1 0 0 0] [-1 0 4 2 -2 -1 0 1 -1 0 -2 1 -1 0 2 -1 0 -2 0 1 -1 -2] [-2 -2 2 6 0 0 -1 1 0 -1 -3 2 0 0 0 -1 0 -1 2 -1 0 -3] [ 1 0 -2 0 4 2 -1 1 0 0 0 0 1 0 -1 0 1 1 0 -1 1 2] [ 2 0 -1 0 2 4 1 2 0 0 0 0 2 0 -2 0 2 2 0 -2 -1 1] [ 1 0 0 -1 -1 1 4 1 -1 0 1 0 1 1 0 0 0 1 0 0 -2 -1] [ 1 0 1 1 1 2 1 4 0 1 0 0 1 1 -1 -1 2 0 1 -1 -1 -1] [ 0 1 -1 0 0 0 -1 0 4 0 0 0 0 1 -1 -1 1 1 1 -1 0 -1] [ 1 2 0 -1 0 0 0 1 0 4 1 0 1 0 -2 -2 0 0 0 0 0 0] [ 2 2 -2 -3 0 0 1 0 0 1 6 0 0 1 -2 0 1 2 -1 0 0 1] [ 1 0 1 2 0 0 0 0 0 0 0 4 0 1 0 -1 1 1 0 0 0 -1] [ 2 0 -1 0 1 2 1 1 0 1 0 0 4 1 -3 -1 1 1 0 -1 -1 0] [ 1 1 0 0 0 0 1 1 1 0 1 1 1 4 0 -1 0 1 1 -1 0 -2] [-2 -1 2 0 -1 -2 0 -1 -1 -2 -2 0 -3 0 6 2 -2 -2 0 2 1 -1] [-1 -2 -1 -1 0 0 0 -1 -1 -2 0 -1 -1 -1 2 4 -1 0 -1 1 1 1] [ 2 0 0 0 1 2 0 2 1 0 1 1 1 0 -2 -1 4 1 0 -1 -1 1] [ 2 1 -2 -1 1 2 1 0 1 0 2 1 1 1 -2 0 1 4 0 -1 0 1] [ 0 -1 0 2 0 0 0 1 1 0 -1 0 0 1 0 -1 0 0 4 -2 0 -1] [-1 0 1 -1 -1 -2 0 -1 -1 0 0 0 -1 -1 2 1 -1 -1 -2 4 1 0] [-1 0 -1 0 1 -1 -2 -1 0 0 0 0 -1 0 1 1 -1 0 0 1 4 0] [ 2 0 -2 -3 2 1 -1 -1 -1 0 1 -1 0 -2 -1 1 1 1 -1 0 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1238. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 1 0 2 0 1 -1 0 -1 1 1 -1 1 1 -2 1 -2 -1 0 1 -1] [-1 6 -3 0 1 -1 2 1 2 -1 2 1 1 0 1 -2 1 1 2 1 -1 -1] [ 1 -3 6 -2 0 1 0 0 -2 2 -2 -1 1 2 -2 -1 1 -2 -3 1 0 0] [ 0 0 -2 4 0 1 0 -1 2 -1 0 -1 0 -2 0 1 0 0 1 -2 0 1] [ 2 1 0 0 4 1 2 -1 0 -2 2 2 -1 0 2 -3 1 -2 0 0 1 0] [ 0 -1 1 1 1 4 -1 -2 0 -1 0 -1 0 0 1 0 -1 -1 0 0 1 0] [ 1 2 0 0 2 -1 4 1 0 -1 1 1 1 0 1 -3 2 -1 0 0 -1 0] [-1 1 0 -1 -1 -2 1 4 -1 1 -1 1 0 -1 -2 0 1 1 1 0 -2 1] [ 0 2 -2 2 0 0 0 -1 4 0 1 -1 0 0 1 1 1 0 1 0 0 0] [-1 -1 2 -1 -2 -1 -1 1 0 4 -1 -1 1 1 -2 2 0 0 -1 1 0 1] [ 1 2 -2 0 2 0 1 -1 1 -1 4 2 0 0 2 -1 0 0 1 0 1 0] [ 1 1 -1 -1 2 -1 1 1 -1 -1 2 4 -1 -1 0 -2 0 0 1 0 0 0] [-1 1 1 0 -1 0 1 0 0 1 0 -1 4 0 0 0 0 1 -1 1 -1 0] [ 1 0 2 -2 0 0 0 -1 0 1 0 -1 0 4 1 -1 0 -1 -1 1 1 -1] [ 1 1 -2 0 2 1 1 -2 1 -2 2 0 0 1 6 0 -1 -1 1 1 2 0] [-2 -2 -1 1 -3 0 -3 0 1 2 -1 -2 0 -1 0 6 -2 1 1 0 1 2] [ 1 1 1 0 1 -1 2 1 1 0 0 0 0 0 -1 -2 4 -1 -1 0 -1 0] [-2 1 -2 0 -2 -1 -1 1 0 0 0 0 1 -1 -1 1 -1 4 1 0 -1 0] [-1 2 -3 1 0 0 0 1 1 -1 1 1 -1 -1 1 1 -1 1 4 -1 0 1] [ 0 1 1 -2 0 0 0 0 0 1 0 0 1 1 1 0 0 0 -1 4 1 -1] [ 1 -1 0 0 1 1 -1 -2 0 0 1 0 -1 1 2 1 -1 -1 0 1 4 0] [-1 -1 0 1 0 0 0 1 0 1 0 0 0 -1 0 2 0 0 1 -1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1239. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -1 2 1 -1 -1 1 2 0 1 -2 -1 -1 1 1 -1 -1 0 -2 0 -2] [ 1 4 0 0 1 0 0 0 2 1 2 0 1 1 -1 -1 1 0 -1 1 1 1] [-1 0 4 -2 1 0 2 0 1 -1 1 0 -1 0 0 -1 -1 2 0 -1 1 0] [ 2 0 -2 4 1 -1 -2 0 1 0 -1 -2 0 0 0 2 -1 -1 -1 0 0 0] [ 1 1 1 1 4 0 0 -1 2 0 1 0 -1 0 -1 1 0 1 -1 -1 1 -1] [-1 0 0 -1 0 4 1 -2 1 1 0 1 -1 1 1 0 1 1 -1 2 -1 1] [-1 0 2 -2 0 1 4 -1 1 -1 1 1 -1 -1 0 -1 -1 0 1 1 -1 1] [ 1 0 0 0 -1 -2 -1 4 0 0 0 -1 1 -1 0 0 -1 -1 0 -2 0 -2] [ 2 2 1 1 2 1 1 0 6 -1 2 -1 0 1 0 1 -1 1 -1 -1 0 1] [ 0 1 -1 0 0 1 -1 0 -1 4 -1 0 0 0 -1 -1 2 0 -2 1 0 -1] [ 1 2 1 -1 1 0 1 0 2 -1 4 0 0 1 0 -1 0 0 1 0 0 0] [-2 0 0 -2 0 1 1 -1 -1 0 0 4 0 0 0 0 2 1 0 1 0 1] [-1 1 -1 0 -1 -1 -1 1 0 0 0 0 4 1 -1 -1 1 0 0 1 1 2] [-1 1 0 0 0 1 -1 -1 1 0 1 0 1 4 -1 0 1 1 -1 1 1 2] [ 1 -1 0 0 -1 1 0 0 0 -1 0 0 -1 -1 4 0 -1 0 1 0 -1 0] [ 1 -1 -1 2 1 0 -1 0 1 -1 -1 0 -1 0 0 4 0 0 -1 -1 0 0] [-1 1 -1 -1 0 1 -1 -1 -1 2 0 2 1 1 -1 0 4 1 -1 1 1 1] [-1 0 2 -1 1 1 0 -1 1 0 0 1 0 1 0 0 1 4 -1 0 2 1] [ 0 -1 0 -1 -1 -1 1 0 -1 -2 1 0 0 -1 1 -1 -1 -1 4 -1 -1 0] [-2 1 -1 0 -1 2 1 -2 -1 1 0 1 1 1 0 -1 1 0 -1 6 0 3] [ 0 1 1 0 1 -1 -1 0 0 0 0 0 1 1 -1 0 1 2 -1 0 4 0] [-2 1 0 0 -1 1 1 -2 1 -1 0 1 2 2 0 0 1 1 0 3 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1240. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 0 0 1 -1 0 1 -1 0 0 0 -1 -1 2 -1 2 -1 1 -1 -1] [ 1 4 1 -1 1 1 1 -1 -1 -2 1 1 1 -1 -2 2 -1 2 1 1 -1 -2] [ 0 1 4 0 0 -1 -1 1 1 -1 2 0 0 -1 -2 2 -2 0 0 0 -1 -2] [ 0 -1 0 4 -2 0 1 -1 -1 0 -1 0 1 0 0 1 -1 -2 -1 -1 0 -1] [ 0 1 0 -2 4 -1 -1 -1 0 0 0 -1 -1 1 1 0 0 0 2 1 -1 -1] [ 1 1 -1 0 -1 4 0 1 -1 -1 -1 1 0 0 0 0 1 2 -1 1 0 -1] [-1 1 -1 1 -1 0 4 -1 -1 0 -1 1 2 -1 -1 -1 0 -1 1 0 1 1] [ 0 -1 1 -1 -1 1 -1 4 2 1 1 0 -1 0 0 0 0 1 -1 1 0 1] [ 1 -1 1 -1 0 -1 -1 2 4 1 1 -1 0 -1 -1 1 0 1 0 0 0 1] [-1 -2 -1 0 0 -1 0 1 1 4 -1 0 0 0 2 -2 1 0 -1 -1 0 2] [ 0 1 2 -1 0 -1 -1 1 1 -1 4 -1 -1 -1 -2 2 -1 0 0 1 0 -1] [ 0 1 0 0 -1 1 1 0 -1 0 -1 4 2 -1 1 -1 1 0 0 -1 1 0] [ 0 1 0 1 -1 0 2 -1 0 0 -1 2 4 -2 0 0 0 0 0 -1 1 0] [-1 -1 -1 0 1 0 -1 0 -1 0 -1 -1 -2 4 1 0 0 -1 1 0 -1 1] [-1 -2 -2 0 1 0 -1 0 -1 2 -2 1 0 1 6 -2 1 -1 0 0 0 0] [ 2 2 2 1 0 0 -1 0 1 -2 2 -1 0 0 -2 6 -2 1 0 1 -2 -2] [-1 -1 -2 -1 0 1 0 0 0 1 -1 1 0 0 1 -2 4 0 0 -1 2 2] [ 2 2 0 -2 0 2 -1 1 1 0 0 0 0 -1 -1 1 0 6 -1 1 -1 0] [-1 1 0 -1 2 -1 1 -1 0 -1 0 0 0 1 0 0 0 -1 4 0 0 0] [ 1 1 0 -1 1 1 0 1 0 -1 1 -1 -1 0 0 1 -1 1 0 4 0 -1] [-1 -1 -1 0 -1 0 1 0 0 0 0 1 1 -1 0 -2 2 -1 0 0 4 1] [-1 -2 -2 -1 -1 -1 1 1 1 2 -1 0 0 1 0 -2 2 0 0 -1 1 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1241. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 -2 0 1 0 1 1 1 -1 2 1 1 0 2 -1 1 -2 -2 2 1 -1] [-1 4 -1 -1 1 1 0 1 0 -1 0 -1 -2 0 -1 1 -2 0 -1 0 -2 2] [-2 -1 4 0 -2 -1 0 -2 0 0 0 1 0 -1 0 -1 1 2 2 -1 0 -1] [ 0 -1 0 4 -1 -2 0 -1 -1 2 1 1 -1 0 0 1 1 1 2 0 -1 -2] [ 1 1 -2 -1 4 1 1 1 0 -1 0 -1 -1 1 0 0 0 0 -1 0 -1 2] [ 0 1 -1 -2 1 4 1 0 -1 -1 -2 -1 -1 -1 -1 0 -2 -2 0 0 -1 2] [ 1 0 0 0 1 1 4 0 1 -1 1 0 0 -2 1 0 0 -1 1 1 -2 1] [ 1 1 -2 -1 1 0 0 4 2 0 1 -1 1 0 1 0 0 -2 -3 0 1 2] [ 1 0 0 -1 0 -1 1 2 4 0 1 0 1 0 1 -1 1 0 -1 1 1 0] [-1 -1 0 2 -1 -1 -1 0 0 4 0 0 -1 1 -1 0 0 0 2 -1 1 -1] [ 2 0 0 1 0 -2 1 1 1 0 6 0 1 -1 1 0 1 0 -1 0 0 -2] [ 1 -1 1 1 -1 -1 0 -1 0 0 0 4 -1 0 2 -2 1 -1 0 0 0 -2] [ 1 -2 0 -1 -1 -1 0 1 1 -1 1 -1 6 0 1 0 0 0 -2 1 3 0] [ 0 0 -1 0 1 -1 -2 0 0 1 -1 0 0 4 -1 0 0 1 -1 0 2 0] [ 2 -1 0 0 0 -1 1 1 1 -1 1 2 1 -1 4 -2 1 -2 -1 1 0 0] [-1 1 -1 1 0 0 0 0 -1 0 0 -2 0 0 -2 4 0 1 0 0 -1 1] [ 1 -2 1 1 0 -2 0 0 1 0 1 1 0 0 1 0 4 1 0 0 1 -1] [-2 0 2 1 0 -2 -1 -2 0 0 0 -1 0 1 -2 1 1 6 2 0 0 -1] [-2 -1 2 2 -1 0 1 -3 -1 2 -1 0 -2 -1 -1 0 0 2 6 -1 -2 -1] [ 2 0 -1 0 0 0 1 0 1 -1 0 0 1 0 1 0 0 0 -1 4 1 0] [ 1 -2 0 -1 -1 -1 -2 1 1 1 0 0 3 2 0 -1 1 0 -2 1 6 -1] [-1 2 -1 -2 2 2 1 2 0 -1 -2 -2 0 0 0 1 -1 -1 -1 0 -1 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1242. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 -1 2 -1 -2 0 1 0 -1 1 1 -1 -1 -1 -1 -1 -2 1 -1 -2] [-1 4 -1 0 0 0 1 1 1 1 -1 -2 -1 1 -1 1 -1 -1 1 0 2 -1] [ 0 -1 4 -1 0 0 0 -1 -1 -2 1 -1 -1 0 1 1 -1 1 0 0 -1 0] [-1 0 -1 4 -1 2 0 1 -1 0 1 2 1 1 1 -1 2 1 0 1 -1 2] [ 2 0 0 -1 4 -2 -2 1 0 0 -1 0 0 -1 -2 0 -2 -1 -2 -1 0 -1] [-1 0 0 2 -2 4 1 1 0 0 2 0 0 2 1 0 1 2 1 2 0 2] [-2 1 0 0 -2 1 4 -1 -1 0 0 0 -1 2 1 0 1 1 2 0 0 0] [ 0 1 -1 1 1 1 -1 4 1 1 1 0 -1 0 0 1 0 -1 0 0 0 0] [ 1 1 -1 -1 0 0 -1 1 4 0 -1 -2 0 -1 -1 0 0 -1 -1 0 0 -2] [ 0 1 -2 0 0 0 0 1 0 4 -1 0 1 1 0 0 0 -1 1 0 2 -1] [-1 -1 1 1 -1 2 0 1 -1 -1 4 1 0 1 1 0 0 1 1 1 -1 3] [ 1 -2 -1 2 0 0 0 0 -2 0 1 6 2 0 0 -1 2 1 -1 0 -3 1] [ 1 -1 -1 1 0 0 -1 -1 0 1 0 2 4 0 0 -2 1 1 -1 1 0 1] [-1 1 0 1 -1 2 2 0 -1 1 1 0 0 4 0 0 0 1 1 1 1 1] [-1 -1 1 1 -2 1 1 0 -1 0 1 0 0 0 4 -1 1 0 2 1 -1 1] [-1 1 1 -1 0 0 0 1 0 0 0 -1 -2 0 -1 4 0 0 0 -1 1 0] [-1 -1 -1 2 -2 1 1 0 0 0 0 2 1 0 1 0 4 1 0 0 -1 1] [-1 -1 1 1 -1 2 1 -1 -1 -1 1 1 1 1 0 0 1 4 0 1 0 2] [-2 1 0 0 -2 1 2 0 -1 1 1 -1 -1 1 2 0 0 0 4 0 1 1] [ 1 0 0 1 -1 2 0 0 0 0 1 0 1 1 1 -1 0 1 0 4 1 1] [-1 2 -1 -1 0 0 0 0 0 2 -1 -3 0 1 -1 1 -1 0 1 1 6 0] [-2 -1 0 2 -1 2 0 0 -2 -1 3 1 1 1 1 0 1 2 1 1 0 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1243. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 1 1 1 -1 2 1 -2 0 1 -2 -1 -1 -1 1 2 -1 1 0 1] [ 1 4 -1 2 2 0 -2 -1 0 0 0 2 -2 0 1 -1 1 1 -1 1 -1 1] [ 2 -1 4 -1 0 1 -1 1 1 -2 -1 -1 -1 -1 -1 0 1 2 -1 1 0 1] [ 1 2 -1 4 1 -1 -1 -1 -1 0 0 2 -1 0 1 0 0 1 -1 0 1 1] [ 1 2 0 1 4 -1 -1 0 1 1 1 1 -2 -1 -1 -1 1 0 -1 2 -1 0] [ 1 0 1 -1 -1 4 -1 2 -1 -2 -1 -1 -1 1 0 -1 -1 1 1 0 0 1] [-1 -2 -1 -1 -1 -1 4 1 1 0 1 -1 2 -1 0 1 0 -2 0 0 0 -2] [ 2 -1 1 -1 0 2 1 6 2 0 -1 -1 -1 1 -1 -2 0 1 -1 1 0 0] [ 1 0 1 -1 1 -1 1 2 6 -1 0 -1 0 0 -2 1 3 0 -1 1 0 0] [-2 0 -2 0 1 -2 0 0 -1 6 1 0 1 1 1 -1 -1 -1 0 -1 -1 0] [ 0 0 -1 0 1 -1 1 -1 0 1 4 1 1 -1 0 0 1 -1 1 0 -1 0] [ 1 2 -1 2 1 -1 -1 -1 -1 0 1 4 -1 -1 0 -1 1 1 0 0 0 0] [-2 -2 -1 -1 -2 -1 2 -1 0 1 1 -1 4 0 1 1 0 -1 1 -1 1 0] [-1 0 -1 0 -1 1 -1 1 0 1 -1 -1 0 4 0 0 -1 0 0 -1 1 1] [-1 1 -1 1 -1 0 0 -1 -2 1 0 0 1 0 4 -1 -1 0 0 0 -1 1] [-1 -1 0 0 -1 -1 1 -2 1 -1 0 -1 1 0 -1 4 1 -1 0 -1 1 0] [ 1 1 1 0 1 -1 0 0 3 -1 1 1 0 -1 -1 1 4 1 -1 1 0 1] [ 2 1 2 1 0 1 -2 1 0 -1 -1 1 -1 0 0 -1 1 4 -1 1 1 2] [-1 -1 -1 -1 -1 1 0 -1 -1 0 1 0 1 0 0 0 -1 -1 4 -2 0 0] [ 1 1 1 0 2 0 0 1 1 -1 0 0 -1 -1 0 -1 1 1 -2 4 0 0] [ 0 -1 0 1 -1 0 0 0 0 -1 -1 0 1 1 -1 1 0 1 0 0 4 0] [ 1 1 1 1 0 1 -2 0 0 0 0 0 0 1 1 0 1 2 0 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1244. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 1 1 1 1 -1 0 1 0 -2 -2 -2 -1 -1 0 -2 -1 1 -1 0 0] [ 1 4 2 2 -1 0 1 1 2 1 1 -1 -1 0 -1 -1 -2 -2 0 0 0 0] [ 1 2 4 1 0 0 0 1 1 -1 -1 0 0 0 -2 -1 -1 -2 0 0 0 1] [ 1 2 1 4 -1 1 1 -1 2 1 -1 0 -1 1 0 1 -2 -2 1 -1 -1 1] [ 1 -1 0 -1 4 -1 0 1 1 0 -1 0 0 -2 -1 1 0 0 1 1 0 1] [ 1 0 0 1 -1 4 -1 0 -1 1 -1 0 -1 1 0 1 -1 0 0 -2 0 1] [-1 1 0 1 0 -1 4 1 1 1 0 0 0 1 0 0 1 0 1 0 1 1] [ 0 1 1 -1 1 0 1 4 0 1 1 -1 -1 0 -2 0 0 0 1 0 0 1] [ 1 2 1 2 1 -1 1 0 4 1 -1 0 -1 0 0 1 -2 -2 0 1 0 1] [ 0 1 -1 1 0 1 1 1 1 4 1 0 -1 1 0 1 -1 -1 0 -1 0 1] [-2 1 -1 -1 -1 -1 0 1 -1 1 6 -1 1 0 0 -1 1 1 0 0 0 -1] [-2 -1 0 0 0 0 0 -1 0 0 -1 4 2 0 0 0 1 0 -1 0 -1 0] [-2 -1 0 -1 0 -1 0 -1 -1 -1 1 2 4 -1 1 -1 2 0 0 1 0 0] [-1 0 0 1 -2 1 1 0 0 1 0 0 -1 4 0 1 0 0 -1 -1 1 1] [-1 -1 -2 0 -1 0 0 -2 0 0 0 0 1 0 4 0 0 0 0 1 0 0] [ 0 -1 -1 1 1 1 0 0 1 1 -1 0 -1 1 0 4 0 0 0 0 0 2] [-2 -2 -1 -2 0 -1 1 0 -2 -1 1 1 2 0 0 0 4 2 0 0 1 0] [-1 -2 -2 -2 0 0 0 0 -2 -1 1 0 0 0 0 0 2 4 0 0 1 -1] [ 1 0 0 1 1 0 1 1 0 0 0 -1 0 -1 0 0 0 0 4 -1 -1 1] [-1 0 0 -1 1 -2 0 0 1 -1 0 0 1 -1 1 0 0 0 -1 4 1 0] [ 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 1 1 -1 1 4 0] [ 0 0 1 1 1 1 1 1 1 1 -1 0 0 1 0 2 0 -1 1 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1245. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 1 -1 1 -1 -1 1 -2 -2 0 -1 0 0 -1 1 2 -1 -2 0 0] [-2 4 -2 0 2 1 1 2 -1 2 1 0 0 1 0 0 -1 -1 1 2 0 1] [ 2 -2 4 -1 -1 0 -1 0 1 -2 -1 -1 0 0 0 1 0 2 -1 -2 -1 0] [ 1 0 -1 6 -2 -1 2 -1 0 1 2 2 -2 2 2 0 1 1 2 1 -1 2] [-1 2 -1 -2 6 -1 0 0 -2 0 -2 0 0 0 -2 -1 -1 0 0 0 0 0] [ 1 1 0 -1 -1 6 1 2 0 0 -1 0 1 -1 -1 -1 -1 -1 -2 0 0 1] [-1 1 -1 2 0 1 4 1 0 1 2 2 -1 1 0 0 -1 0 1 1 -1 2] [-1 2 0 -1 0 2 1 4 1 0 0 -1 1 0 -1 1 -2 0 0 1 -1 1] [ 1 -1 1 0 -2 0 0 1 4 -2 0 0 0 -1 1 0 1 1 -1 -1 0 0] [-2 2 -2 1 0 0 1 0 -2 4 2 1 0 1 0 0 0 -2 2 2 0 1] [-2 1 -1 2 -2 -1 2 0 0 2 6 0 0 1 2 2 1 0 2 1 0 0] [ 0 0 -1 2 0 0 2 -1 0 1 0 4 -2 0 0 -2 1 -1 1 1 -1 2] [-1 0 0 -2 0 1 -1 1 0 0 0 -2 4 -2 0 1 0 -1 -1 -1 1 -1] [ 0 1 0 2 0 -1 1 0 -1 1 1 0 -2 4 0 1 -1 1 1 1 0 1] [ 0 0 0 2 -2 -1 0 -1 1 0 2 0 0 0 4 0 1 0 1 0 0 0] [-1 0 1 0 -1 -1 0 1 0 0 2 -2 1 1 0 4 0 1 0 0 0 0] [ 1 -1 0 1 -1 -1 -1 -2 1 0 1 1 0 -1 1 0 4 0 0 -1 1 0] [ 2 -1 2 1 0 -1 0 0 1 -2 0 -1 -1 1 0 1 0 4 0 -1 0 0] [-1 1 -1 2 0 -2 1 0 -1 2 2 1 -1 1 1 0 0 0 4 1 -1 1] [-2 2 -2 1 0 0 1 1 -1 2 1 1 -1 1 0 0 -1 -1 1 4 0 1] [ 0 0 -1 -1 0 0 -1 -1 0 0 0 -1 1 0 0 0 1 0 -1 0 4 -2] [ 0 1 0 2 0 1 2 1 0 1 0 2 -1 1 0 0 0 0 1 1 -2 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1246. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 0 0 1 -1 -1 0 1 2 1 -1 0 -1 1 0 -1 -1 1 -1] [-1 4 1 -1 1 1 -1 -1 -1 0 1 -1 -1 1 1 2 1 -1 -1 0 -2 2] [ 0 1 4 1 0 0 1 -1 1 1 1 -1 1 -1 1 0 -1 0 0 1 -2 0] [ 2 -1 1 4 0 0 0 -1 -1 1 0 0 0 -1 1 -1 0 0 1 0 1 -2] [ 0 1 0 0 4 0 0 1 0 1 -1 1 -1 0 -1 0 1 1 -1 1 1 -1] [ 0 1 0 0 0 4 -1 1 0 1 -1 0 0 2 1 1 2 -2 0 0 -2 2] [ 1 -1 1 0 0 -1 4 -1 2 1 0 0 2 -1 -1 -1 0 0 -1 1 0 -2] [-1 -1 -1 -1 1 1 -1 4 1 0 -1 0 0 1 0 -1 0 1 1 1 0 1] [-1 -1 1 -1 0 0 2 1 4 0 0 0 2 0 -1 0 -1 1 0 2 0 0] [ 0 0 1 1 1 1 1 0 0 4 -1 -1 0 1 0 -1 1 0 -1 0 -1 -1] [ 1 1 1 0 -1 -1 0 -1 0 -1 4 0 0 -1 1 1 0 1 0 -1 0 1] [ 2 -1 -1 0 1 0 0 0 0 -1 0 4 0 0 -1 0 1 1 -1 0 1 -1] [ 1 -1 1 0 -1 0 2 0 2 0 0 0 4 -1 -1 -1 -1 0 -1 1 0 0] [-1 1 -1 -1 0 2 -1 1 0 1 -1 0 -1 4 1 1 1 -1 0 0 -2 2] [ 0 1 1 1 -1 1 -1 0 -1 0 1 -1 -1 1 4 0 1 -1 1 -1 -1 2] [-1 2 0 -1 0 1 -1 -1 0 -1 1 0 -1 1 0 4 1 -1 0 0 -1 2] [ 1 1 -1 0 1 2 0 0 -1 1 0 1 -1 1 1 1 4 -1 -1 -1 0 1] [ 0 -1 0 0 1 -2 0 1 1 0 1 1 0 -1 -1 -1 -1 4 0 1 2 -1] [-1 -1 0 1 -1 0 -1 1 0 -1 0 -1 -1 0 1 0 -1 0 4 0 0 0] [-1 0 1 0 1 0 1 1 2 0 -1 0 1 0 -1 0 -1 1 0 4 0 -1] [ 1 -2 -2 1 1 -2 0 0 0 -1 0 1 0 -2 -1 -1 0 2 0 0 6 -2] [-1 2 0 -2 -1 2 -2 1 0 -1 1 -1 0 2 2 2 1 -1 0 -1 -2 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1247. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 1 -1 2 0 1 -2 0 -1 -1 -1 1 1 -1 -1 0 0 1 -1] [-1 4 -1 0 -2 0 0 1 1 1 1 0 1 0 -2 1 -1 0 1 1 1 0] [ 0 -1 4 -1 2 -1 0 1 -1 1 -2 0 -2 0 -1 0 -1 0 -2 -2 1 -1] [ 2 0 -1 6 -2 1 0 -1 2 -2 0 0 0 0 1 -1 1 0 0 -1 0 0] [ 1 -2 2 -2 6 -1 1 -1 -2 0 0 -2 -1 1 2 -1 -1 1 -1 -1 2 -1] [-1 0 -1 1 -1 4 -1 0 -1 1 0 -1 2 2 -1 0 2 2 0 0 -2 1] [ 2 0 0 0 1 -1 4 1 0 -1 -1 -1 0 -1 -1 2 -2 -1 -1 0 2 0] [ 0 1 1 -1 -1 0 1 4 0 1 0 0 1 0 -2 1 -1 0 0 -1 1 -1] [ 1 1 -1 2 -2 -1 0 0 4 0 0 0 0 0 1 -1 0 0 0 0 0 -1] [-2 1 1 -2 0 1 -1 1 0 4 -1 -1 1 1 -2 -1 0 2 0 0 -1 -1] [ 0 1 -2 0 0 0 -1 0 0 -1 4 0 1 0 2 0 1 0 2 1 1 0] [-1 0 0 0 -2 -1 -1 0 0 -1 0 4 -1 -1 0 1 1 -2 0 0 0 0] [-1 1 -2 0 -1 2 0 1 0 1 1 -1 4 1 0 -1 1 2 1 1 0 1] [-1 0 0 0 1 2 -1 0 0 1 0 -1 1 4 0 -1 1 2 -1 -1 0 0] [ 1 -2 -1 1 2 -1 -1 -2 1 -2 2 0 0 0 6 -3 1 0 1 0 0 0] [ 1 1 0 -1 -1 0 2 1 -1 -1 0 1 -1 -1 -3 6 0 -2 -1 1 1 1] [-1 -1 -1 1 -1 2 -2 -1 0 0 1 1 1 1 1 0 4 1 0 0 -1 1] [-1 0 0 0 1 2 -1 0 0 2 0 -2 2 2 0 -2 1 4 0 0 0 0] [ 0 1 -2 0 -1 0 -1 0 0 0 2 0 1 -1 1 -1 0 0 4 1 -1 0] [ 0 1 -2 -1 -1 0 0 -1 0 0 1 0 1 -1 0 1 0 0 1 4 0 1] [ 1 1 1 0 2 -2 2 1 0 -1 1 0 0 0 0 1 -1 0 -1 0 6 -1] [-1 0 -1 0 -1 1 0 -1 -1 -1 0 0 1 0 0 1 1 0 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1248. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 2 0 -1 0 1 -1 -2 2 1 1 1 1 -2 -2 0 -1 0 0 0] [-2 4 -2 -2 1 -1 -1 -1 1 2 -1 1 -2 -2 -1 2 2 0 0 0 1 0] [ 2 -2 4 1 -1 -1 1 0 -1 -2 1 1 1 0 0 -2 -2 -1 -1 1 -1 1] [ 2 -2 1 4 1 1 0 1 0 -2 1 -1 2 1 2 -2 0 -1 -1 1 0 -1] [ 0 1 -1 1 4 0 0 1 2 1 1 0 -1 0 1 -1 2 -1 0 1 0 -2] [-1 -1 -1 1 0 4 -1 0 1 0 -1 -1 1 1 1 1 0 1 0 -1 1 0] [ 0 -1 1 0 0 -1 4 1 0 0 1 -1 0 1 1 0 1 -1 -1 0 -1 0] [ 1 -1 0 1 1 0 1 4 1 -1 1 0 1 2 1 -2 1 0 0 0 -1 0] [-1 1 -1 0 2 1 0 1 4 1 -1 -1 0 0 1 1 1 -1 1 -1 0 0] [-2 2 -2 -2 1 0 0 -1 1 4 0 0 -1 0 0 1 2 0 0 0 0 0] [ 2 -1 1 1 1 -1 1 1 -1 0 4 1 0 1 0 -2 1 0 -1 1 -1 0] [ 1 1 1 -1 0 -1 -1 0 -1 0 1 4 -1 0 -1 0 -1 0 -1 1 1 0] [ 1 -2 1 2 -1 1 0 1 0 -1 0 -1 4 1 1 -2 -1 0 -1 0 0 1] [ 1 -2 0 1 0 1 1 2 0 0 1 0 1 4 2 -1 0 0 0 0 -1 0] [ 1 -1 0 2 1 1 1 1 1 0 0 -1 1 2 4 -1 0 -1 -1 0 0 0] [-2 2 -2 -2 -1 1 0 -2 1 1 -2 0 -2 -1 -1 6 0 0 1 -2 2 0] [-2 2 -2 0 2 0 1 1 1 2 1 -1 -1 0 0 0 6 -1 0 1 -1 -1] [ 0 0 -1 -1 -1 1 -1 0 -1 0 0 0 0 0 -1 0 -1 4 0 -1 1 1] [-1 0 -1 -1 0 0 -1 0 1 0 -1 -1 -1 0 -1 1 0 0 4 -1 -1 0] [ 0 0 1 1 1 -1 0 0 -1 0 1 1 0 0 0 -2 1 -1 -1 4 0 -1] [ 0 1 -1 0 0 1 -1 -1 0 0 -1 1 0 -1 0 2 -1 1 -1 0 4 -1] [ 0 0 1 -1 -2 0 0 0 0 0 0 0 1 0 0 0 -1 1 0 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1249. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 2 -1 1 0 -2 -2 1 1 0 1 0 -2 1 2 1 1 1 0] [ 0 4 -1 1 -2 -2 1 0 0 0 2 1 -1 -1 0 -2 -2 -1 -1 1 1 1] [ 1 -1 4 0 2 1 0 -1 0 1 1 -1 -1 1 0 -1 2 0 1 -1 -1 0] [-2 1 0 4 0 0 -1 0 1 1 -1 0 -1 -1 1 1 -2 -2 -1 0 -1 0] [ 2 -2 2 0 6 2 -1 0 -1 -2 -2 0 -1 2 0 -1 0 0 0 0 -1 -1] [-1 -2 1 0 2 4 0 0 0 0 -1 0 -1 1 0 1 1 -1 -1 0 -2 -1] [ 1 1 0 -1 -1 0 4 -1 0 0 2 2 0 -1 1 -2 1 1 0 1 0 1] [ 0 0 -1 0 0 0 -1 4 1 -1 1 -1 -1 1 1 1 1 0 -1 1 0 -2] [-2 0 0 1 -1 0 0 1 4 2 1 -1 -1 0 0 0 1 0 0 -1 0 -1] [-2 0 1 1 -2 0 0 -1 2 4 1 -1 0 -1 0 0 1 0 0 -1 0 0] [ 1 2 1 -1 -2 -1 2 1 1 1 6 1 -1 1 1 -3 1 1 -1 1 1 -1] [ 1 1 -1 0 0 0 2 -1 -1 -1 1 4 0 0 0 -2 -1 1 -1 2 1 1] [ 0 -1 -1 -1 -1 -1 0 -1 -1 0 -1 0 4 0 0 1 0 1 0 0 1 1] [ 1 -1 1 -1 2 1 -1 1 0 -1 1 0 0 4 -1 -1 0 0 0 0 0 -1] [ 0 0 0 1 0 0 1 1 0 0 1 0 0 -1 4 1 0 0 -1 0 0 -1] [-2 -2 -1 1 -1 1 -2 1 0 0 -3 -2 1 -1 1 6 1 -1 0 -1 -1 0] [ 1 -2 2 -2 0 1 1 1 1 1 1 -1 0 0 0 1 6 2 1 0 0 0] [ 2 -1 0 -2 0 -1 1 0 0 0 1 1 1 0 0 -1 2 4 1 1 2 0] [ 1 -1 1 -1 0 -1 0 -1 0 0 -1 -1 0 0 -1 0 1 1 4 -2 0 1] [ 1 1 -1 0 0 0 1 1 -1 -1 1 2 0 0 0 -1 0 1 -2 4 1 0] [ 1 1 -1 -1 -1 -2 0 0 0 0 1 1 1 0 0 -1 0 2 0 1 4 0] [ 0 1 0 0 -1 -1 1 -2 -1 0 -1 1 1 -1 -1 0 0 0 1 0 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1250. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 0 -1 -2 0 1 1 -1 -2 2 0 -1 -1 0 -1 -1 -2 -2 -1 -1 0] [-2 4 1 2 0 0 0 0 2 2 -1 0 1 0 0 1 0 0 0 1 0 0] [ 0 1 4 2 -1 0 -1 2 2 -1 -1 0 1 -2 1 1 -1 -1 -2 1 1 1] [-1 2 2 4 0 0 0 0 1 1 -2 0 2 0 0 2 0 0 0 2 0 0] [-2 0 -1 0 4 -1 0 0 0 2 -1 -1 1 0 0 0 0 1 1 1 0 1] [ 0 0 0 0 -1 4 0 -1 1 1 0 2 -1 0 1 0 -1 0 1 1 0 -2] [ 1 0 -1 0 0 0 4 -1 1 0 0 -1 -1 0 1 0 1 -2 1 -1 -2 0] [ 1 0 2 0 0 -1 -1 6 -1 -2 0 1 2 -2 1 -2 -2 -1 -4 0 1 1] [-1 2 2 1 0 1 1 -1 6 0 0 0 0 -1 0 1 1 -1 0 1 -1 1] [-2 2 -1 1 2 1 0 -2 0 6 0 0 0 0 1 1 0 1 1 1 0 -1] [ 2 -1 -1 -2 -1 0 0 0 0 0 4 1 -1 0 -1 -1 0 -1 -1 -1 -1 0] [ 0 0 0 0 -1 2 -1 1 0 0 1 4 1 1 0 0 -1 0 0 1 0 -2] [-1 1 1 2 1 -1 -1 2 0 0 -1 1 4 0 0 0 0 1 -1 2 1 1] [-1 0 -2 0 0 0 0 -2 -1 0 0 1 0 4 -2 1 1 1 2 0 0 -1] [ 0 0 1 0 0 1 1 1 0 1 -1 0 0 -2 4 -1 -1 -1 0 0 0 0] [-1 1 1 2 0 0 0 -2 1 1 -1 0 0 1 -1 4 1 0 1 1 0 0] [-1 0 -1 0 0 -1 1 -2 1 0 0 -1 0 1 -1 1 4 1 1 -1 0 1] [-2 0 -1 0 1 0 -2 -1 -1 1 -1 0 1 1 -1 0 1 4 1 1 2 0] [-2 0 -2 0 1 1 1 -4 0 1 -1 0 -1 2 0 1 1 1 6 0 -1 -1] [-1 1 1 2 1 1 -1 0 1 1 -1 1 2 0 0 1 -1 1 0 4 1 0] [-1 0 1 0 0 0 -2 1 -1 0 -1 0 1 0 0 0 0 2 -1 1 4 0] [ 0 0 1 0 1 -2 0 1 1 -1 0 -2 1 -1 0 0 1 0 -1 0 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1251. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 -1 -1 2 2 -2 1 -2 -1 -1 1 1 0 2 1 -1 2 1 2] [ 0 4 2 -2 0 1 0 0 1 0 -1 -1 1 0 -1 0 0 0 1 -2 -1 1] [ 1 2 4 -2 -1 0 0 1 0 -1 0 -2 -1 -1 0 1 1 -1 1 0 -1 1] [ 1 -2 -2 4 1 -1 0 0 -1 1 0 0 -1 1 0 -1 1 0 -2 1 1 0] [-1 0 -1 1 4 1 0 -1 1 -1 1 0 -1 0 -2 -1 0 -1 0 -2 -1 0] [-1 1 0 -1 1 4 0 -1 1 0 0 -1 2 -1 0 -1 -2 0 0 -2 -2 0] [ 2 0 0 0 0 0 4 2 -1 1 -1 0 -1 0 1 1 1 2 0 0 0 0] [ 2 0 1 0 -1 -1 2 4 -2 1 0 -1 -1 1 1 2 2 2 1 0 1 0] [-2 1 0 -1 1 1 -1 -2 4 -2 1 0 0 -1 0 0 -1 -1 0 -1 -2 -1] [ 1 0 -1 1 -1 0 1 1 -2 4 -1 0 2 0 1 -1 1 1 -1 1 1 0] [-2 -1 0 0 1 0 -1 0 1 -1 4 0 0 0 -1 0 0 -1 1 -1 0 -2] [-1 -1 -2 0 0 -1 0 -1 0 0 0 4 1 1 0 0 -1 1 1 1 1 0] [-1 1 -1 -1 -1 2 -1 -1 0 2 0 1 6 1 0 -2 -1 1 1 -1 0 0] [ 1 0 -1 1 0 -1 0 1 -1 0 0 1 1 4 -1 0 1 1 1 0 2 1] [ 1 -1 0 0 -2 0 1 1 0 1 -1 0 0 -1 4 1 0 1 -1 2 0 0] [ 0 0 1 -1 -1 -1 1 2 0 -1 0 0 -2 0 1 4 1 1 1 0 0 0] [ 2 0 1 1 0 -2 1 2 -1 1 0 -1 -1 1 0 1 4 0 0 1 1 1] [ 1 0 -1 0 -1 0 2 2 -1 1 -1 1 1 1 1 1 0 4 1 0 1 0] [-1 1 1 -2 0 0 0 1 0 -1 1 1 1 1 -1 1 0 1 4 -2 0 0] [ 2 -2 0 1 -2 -2 0 0 -1 1 -1 1 -1 0 2 0 1 0 -2 6 2 1] [ 1 -1 -1 1 -1 -2 0 1 -2 1 0 1 0 2 0 0 1 1 0 2 4 0] [ 2 1 1 0 0 0 0 0 -1 0 -2 0 0 1 0 0 1 0 0 1 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1252. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 2 -1 0 1 0 0 -2 1 1 1 -1 2 1 1 -1 0 -1 0 0] [-1 4 -2 -2 2 1 -2 1 1 1 -2 -1 1 1 -2 1 -2 2 0 -1 0 -1] [ 2 -2 6 0 -1 -2 0 0 0 -3 0 2 -1 -2 0 1 0 -1 2 0 -1 0] [ 2 -2 0 6 0 2 2 1 -2 -1 2 2 1 -2 3 0 2 0 -1 1 2 -1] [-1 2 -1 0 4 1 0 1 -1 1 0 -1 0 -1 -2 0 -1 2 -1 1 1 0] [ 0 1 -2 2 1 4 -1 2 0 1 0 1 2 1 0 0 -1 1 0 0 1 0] [ 1 -2 0 2 0 -1 4 -1 -2 -1 2 0 -1 -1 2 -1 2 -1 -2 1 0 1] [ 0 1 0 1 1 2 -1 4 -1 0 -1 0 1 1 -1 0 -2 2 1 -1 0 0] [ 0 1 0 -2 -1 0 -2 -1 4 0 -1 1 1 0 0 0 -1 -1 1 -1 -1 0] [-2 1 -3 -1 1 1 -1 0 0 4 0 -2 0 2 -2 -1 0 1 0 0 1 0] [ 1 -2 0 2 0 0 2 -1 -1 0 4 1 0 -2 2 0 2 -1 -1 2 0 0] [ 1 -1 2 2 -1 1 0 0 1 -2 1 6 2 -1 3 2 1 0 1 1 -1 -1] [ 1 1 -1 1 0 2 -1 1 1 0 0 2 4 0 2 1 0 0 1 0 0 0] [-1 1 -2 -2 -1 1 -1 1 0 2 -2 -1 0 6 -2 0 -1 1 0 -2 0 1] [ 2 -2 0 3 -2 0 2 -1 0 -2 2 3 2 -2 6 0 2 -2 0 1 -1 0] [ 1 1 1 0 0 0 -1 0 0 -1 0 2 1 0 0 4 1 1 0 0 0 -1] [ 1 -2 0 2 -1 -1 2 -2 -1 0 2 1 0 -1 2 1 4 -1 -1 1 1 0] [-1 2 -1 0 2 1 -1 2 -1 1 -1 0 0 1 -2 1 -1 4 0 0 1 -1] [ 0 0 2 -1 -1 0 -2 1 1 0 -1 1 1 0 0 0 -1 0 4 -1 -1 0] [-1 -1 0 1 1 0 1 -1 -1 0 2 1 0 -2 1 0 1 0 -1 4 1 0] [ 0 0 -1 2 1 1 0 0 -1 1 0 -1 0 0 -1 0 1 1 -1 1 4 -1] [ 0 -1 0 -1 0 0 1 0 0 0 0 -1 0 1 0 -1 0 -1 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1253. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 2 1 1 -1 -1 2 2 -2 -1 -1 0 -1 1 -1 -2 0 1 1 -2] [ 0 4 1 1 -1 -1 2 1 0 2 -1 1 2 -2 2 0 1 1 2 1 0 1] [ 1 1 4 2 0 0 2 0 1 1 -1 0 2 1 1 -1 0 1 0 2 1 1] [ 2 1 2 4 1 0 0 0 1 2 -1 -1 1 0 1 1 0 0 1 2 0 0] [ 1 -1 0 1 4 0 -1 0 1 1 -1 0 1 2 -1 0 -2 -2 1 1 1 -2] [ 1 -1 0 0 0 4 -2 -2 -1 0 1 1 -1 2 -1 0 -1 -1 -1 0 -1 1] [-1 2 2 0 -1 -2 6 1 0 1 0 1 2 -1 2 -2 1 3 1 0 0 2] [-1 1 0 0 0 -2 1 4 1 0 0 -1 2 -2 2 -1 1 2 2 0 0 -1] [ 2 0 1 1 1 -1 0 1 4 1 -1 -2 1 0 -1 1 -1 0 0 1 1 -3] [ 2 2 1 2 1 0 1 0 1 4 -2 0 1 0 1 1 -1 0 2 1 1 -1] [-2 -1 -1 -1 -1 1 0 0 -1 -2 4 0 0 0 0 0 1 2 -1 -1 -2 2] [-1 1 0 -1 0 1 1 -1 -2 0 0 4 1 0 0 -1 0 -1 0 0 0 2] [-1 2 2 1 1 -1 2 2 1 1 0 1 6 -1 2 0 -1 1 2 2 0 1] [ 0 -2 1 0 2 2 -1 -2 0 0 0 0 -1 6 -2 -1 -2 0 -1 1 0 0] [-1 2 1 1 -1 -1 2 2 -1 1 0 0 2 -2 4 -1 1 2 2 0 0 2] [ 1 0 -1 1 0 0 -2 -1 1 1 0 -1 0 -1 -1 4 -1 -1 0 0 0 -1] [-1 1 0 0 -2 -1 1 1 -1 -1 1 0 -1 -2 1 -1 4 2 0 -1 -1 1] [-2 1 1 0 -2 -1 3 2 0 0 2 -1 1 0 2 -1 2 6 1 0 -1 2] [ 0 2 0 1 1 -1 1 2 0 2 -1 0 2 -1 2 0 0 1 4 0 0 0] [ 1 1 2 2 1 0 0 0 1 1 -1 0 2 1 0 0 -1 0 0 4 1 0] [ 1 0 1 0 1 -1 0 0 1 1 -2 0 0 0 0 0 -1 -1 0 1 4 -2] [-2 1 1 0 -2 1 2 -1 -3 -1 2 2 1 0 2 -1 1 2 0 0 -2 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1254. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 -1 0 1 0 2 1 1 0 1 -2 2 1 0 2 -1 0 -1 1] [-2 4 -2 2 -1 1 -1 -1 -2 -2 -1 -1 0 1 -1 -1 1 -2 1 0 1 0] [ 2 -2 4 -2 1 -1 0 1 0 1 1 0 -1 -2 1 1 1 2 -1 0 0 0] [-2 2 -2 4 -1 1 0 -1 0 -2 -1 -1 0 1 -2 -1 1 -2 0 0 0 1] [-1 -1 1 -1 4 -2 0 2 -1 1 0 0 -2 0 0 -1 0 0 -1 1 0 -2] [ 0 1 -1 1 -2 4 -1 0 -1 0 0 0 0 -1 0 1 0 -1 1 0 -1 1] [ 1 -1 0 0 0 -1 4 -1 3 1 -1 -1 0 0 -1 0 1 0 -1 0 0 1] [ 0 -1 1 -1 2 0 -1 4 -2 0 0 1 -2 0 1 -1 0 1 0 0 -1 -1] [ 2 -2 0 0 -1 -1 3 -2 6 0 1 -1 2 -1 0 0 0 0 -1 -1 0 2] [ 1 -2 1 -2 1 0 1 0 0 4 0 0 0 -1 0 1 -1 1 0 1 0 -1] [ 1 -1 1 -1 0 0 -1 0 1 0 4 -1 1 -1 0 0 -1 0 1 -1 1 1] [ 0 -1 0 -1 0 0 -1 1 -1 0 -1 4 0 0 2 1 -1 2 0 1 -1 -1] [ 1 0 -1 0 -2 0 0 -2 2 0 1 0 4 0 0 0 -1 0 0 -1 1 1] [-2 1 -2 1 0 -1 0 0 -1 -1 -1 0 0 4 -1 -1 -1 -1 0 0 0 -1] [ 2 -1 1 -2 0 0 -1 1 0 0 0 2 0 -1 4 1 -1 2 -1 1 -1 -1] [ 1 -1 1 -1 -1 1 0 -1 0 1 0 1 0 -1 1 4 -1 1 0 1 0 1] [ 0 1 1 1 0 0 1 0 0 -1 -1 -1 -1 -1 -1 -1 4 0 0 0 0 1] [ 2 -2 2 -2 0 -1 0 1 0 1 0 2 0 -1 2 1 0 4 0 1 0 0] [-1 1 -1 0 -1 1 -1 0 -1 0 1 0 0 0 -1 0 0 0 4 -1 1 1] [ 0 0 0 0 1 0 0 0 -1 1 -1 1 -1 0 1 1 0 1 -1 4 0 -1] [-1 1 0 0 0 -1 0 -1 0 0 1 -1 1 0 -1 0 0 0 1 0 4 0] [ 1 0 0 1 -2 1 1 -1 2 -1 1 -1 1 -1 -1 1 1 0 1 -1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1255. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 -2 0 1 -2 -1 -2 0 -2 -1 0 0 0 0 2 0 -1 0 -1 -2] [ 0 4 -1 2 0 0 1 1 0 0 2 2 1 0 -1 -2 0 0 1 0 -2 -1] [ 1 -1 4 -2 -1 1 0 1 -2 1 -2 -2 -1 0 0 2 -1 0 -1 1 1 1] [-2 2 -2 6 1 -2 2 0 0 -1 4 2 -1 -1 -2 -3 0 -1 0 -2 -2 2] [ 0 0 -1 1 4 0 0 1 -1 -2 1 0 0 1 1 1 0 1 -1 -2 1 -1] [ 1 0 1 -2 0 4 -1 1 1 -1 0 0 0 -1 1 0 1 -1 -1 0 0 0] [-2 1 0 2 0 -1 4 2 -1 0 1 0 1 0 -1 0 -2 0 1 0 -1 2] [-1 1 1 0 1 1 2 4 -1 -1 0 0 1 1 1 1 -2 1 0 0 0 1] [-2 0 -2 0 -1 1 -1 -1 6 -1 2 2 0 0 0 -2 1 0 0 0 1 0] [ 0 0 1 -1 -2 -1 0 -1 -1 4 -1 0 0 -1 0 0 -1 0 2 2 0 0] [-2 2 -2 4 1 0 1 0 2 -1 6 2 -1 -1 -1 -3 0 0 0 -2 0 2] [-1 2 -2 2 0 0 0 0 2 0 2 4 1 -1 -1 -3 1 0 1 -1 -2 -1] [ 0 1 -1 -1 0 0 1 1 0 0 -1 1 4 0 1 0 0 0 2 1 -1 -1] [ 0 0 0 -1 1 -1 0 1 0 -1 -1 -1 0 4 0 2 -1 2 -1 0 2 -1] [ 0 -1 0 -2 1 1 -1 1 0 0 -1 -1 1 0 4 1 -1 0 1 1 1 0] [ 0 -2 2 -3 1 0 0 1 -2 0 -3 -3 0 2 1 6 -1 1 -1 1 3 0] [ 2 0 -1 0 0 1 -2 -2 1 -1 0 1 0 -1 -1 -1 4 -1 -1 -1 -1 -1] [ 0 0 0 -1 1 -1 0 1 0 0 0 0 0 2 0 1 -1 4 0 0 2 -1] [-1 1 -1 0 -1 -1 1 0 0 2 0 1 2 -1 1 -1 -1 0 4 1 -1 0] [ 0 0 1 -2 -2 0 0 0 0 2 -2 -1 1 0 1 1 -1 0 1 4 1 0] [-1 -2 1 -2 1 0 -1 0 1 0 0 -2 -1 2 1 3 -1 2 -1 1 6 0] [-2 -1 1 2 -1 0 2 1 0 0 2 -1 -1 -1 0 0 -1 -1 0 0 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1256. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 0 0 -2 1 1 -2 0 1 -2 1 1 0 -1 -1 0 0 2 1 1] [-2 4 -2 0 -1 1 1 -1 1 -1 0 0 -1 -1 1 1 1 0 -1 -2 1 0] [ 2 -2 4 -1 1 -1 -1 0 -1 0 1 0 0 2 -1 0 -2 -1 0 2 -1 1] [ 0 0 -1 4 0 -1 0 -1 1 1 1 -1 0 -1 -1 -2 1 1 0 0 2 1] [ 0 -1 1 0 4 -1 -2 1 -1 0 1 1 1 1 0 1 -2 0 1 1 1 0] [-2 1 -1 -1 -1 4 -1 0 2 1 0 2 -1 -1 -1 1 2 1 -1 -2 -2 -2] [ 1 1 -1 0 -2 -1 4 -1 -1 -1 0 -1 0 0 1 -1 0 -1 -1 0 0 0] [ 1 -1 0 -1 1 0 -1 4 -1 1 0 -1 1 1 1 1 0 0 0 0 0 -1] [-2 1 -1 1 -1 2 -1 -1 4 0 0 0 -1 -1 -1 -1 2 0 -1 -2 0 0] [ 0 -1 0 1 0 1 -1 1 0 4 1 0 -1 -1 -2 0 1 2 1 0 -1 0] [ 1 0 1 1 1 0 0 0 0 1 4 -1 -1 1 -2 -1 0 0 0 0 1 0] [-2 0 0 -1 1 2 -1 -1 0 0 -1 6 -1 0 0 1 -1 1 -1 0 -1 -2] [ 1 -1 0 0 1 -1 0 1 -1 -1 -1 -1 4 1 1 0 0 0 1 0 0 0] [ 1 -1 2 -1 1 -1 0 1 -1 -1 1 0 1 4 0 0 -1 -2 0 1 0 0] [ 0 1 -1 -1 0 -1 1 1 -1 -2 -2 0 1 0 4 1 -1 -1 -1 0 1 0] [-1 1 0 -2 1 1 -1 1 -1 0 -1 1 0 0 1 4 0 0 0 0 -1 0] [-1 1 -2 1 -2 2 0 0 2 1 0 -1 0 -1 -1 0 4 1 0 -2 0 0] [ 0 0 -1 1 0 1 -1 0 0 2 0 1 0 -2 -1 0 1 4 1 0 1 0] [ 0 -1 0 0 1 -1 -1 0 -1 1 0 -1 1 0 -1 0 0 1 4 0 0 1] [ 2 -2 2 0 1 -2 0 0 -2 0 0 0 0 1 0 0 -2 0 0 4 1 1] [ 1 1 -1 2 1 -2 0 0 0 -1 1 -1 0 0 1 -1 0 1 0 1 6 1] [ 1 0 1 1 0 -2 0 -1 0 0 0 -2 0 0 0 0 0 0 1 1 1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1257. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -1 1 -1 2 0 1 1 0 -1 -1 1 0 -1 0 -1 1 2 0 1] [-2 4 -2 1 -2 -1 -2 1 -2 -1 0 0 1 -1 1 1 1 0 -2 -2 -1 0] [ 2 -2 4 -1 1 1 0 -1 2 0 0 -1 -1 0 -1 0 1 -1 1 2 0 1] [-1 1 -1 4 -2 -1 -2 -1 1 -1 0 0 2 -2 -1 -1 1 1 -2 0 1 1] [ 1 -2 1 -2 4 1 2 1 0 0 -1 0 0 1 0 0 -2 -1 1 0 1 0] [-1 -1 1 -1 1 4 1 0 1 0 0 0 -1 0 0 0 -1 1 1 0 -1 0] [ 2 -2 0 -2 2 1 6 2 1 1 -1 -1 0 2 1 0 -2 0 1 1 -1 0] [ 0 1 -1 -1 1 0 2 4 0 -1 0 -1 1 1 2 0 -1 0 0 -1 0 0] [ 1 -2 2 1 0 1 1 0 6 1 1 -2 1 1 -2 0 0 2 1 2 0 2] [ 1 -1 0 -1 0 0 1 -1 1 4 0 -1 -1 1 -1 0 0 1 2 0 -1 0] [ 0 0 0 0 -1 0 -1 0 1 0 4 -1 -1 1 1 -1 1 2 1 0 0 1] [-1 0 -1 0 0 0 -1 -1 -2 -1 -1 4 -1 -1 0 0 0 -1 0 0 1 -1] [-1 1 -1 2 0 -1 0 1 1 -1 -1 -1 4 -1 -1 1 -1 0 -2 0 1 1] [ 1 -1 0 -2 1 0 2 1 1 1 1 -1 -1 4 0 1 -1 0 1 0 -1 -1] [ 0 1 -1 -1 0 0 1 2 -2 -1 1 0 -1 0 4 -1 0 0 0 -1 0 0] [-1 1 0 -1 0 0 0 0 0 0 -1 0 1 1 -1 4 0 -1 -1 0 -1 0] [ 0 1 1 1 -2 -1 -2 -1 0 0 1 0 -1 -1 0 0 4 0 0 0 0 1] [-1 0 -1 1 -1 1 0 0 2 1 2 -1 0 0 0 -1 0 4 1 0 0 1] [ 1 -2 1 -2 1 1 1 0 1 2 1 0 -2 1 0 -1 0 1 4 0 0 0] [ 2 -2 2 0 0 0 1 -1 2 0 0 0 0 0 -1 0 0 0 0 4 1 1] [ 0 -1 0 1 1 -1 -1 0 0 -1 0 1 1 -1 0 -1 0 0 0 1 4 0] [ 1 0 1 1 0 0 0 0 2 0 1 -1 1 -1 0 0 1 1 0 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1258. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 0 2 2 0 1 1 0 -2 -1 -2 2 1 -1 1 -1 1 -2 -2 -2 1] [ 1 4 0 -1 -1 0 1 2 -1 0 0 -1 1 -1 0 -1 -2 2 -1 1 0 0] [ 0 0 4 0 -2 0 1 1 1 0 0 1 1 2 -1 1 0 -1 1 2 0 2] [ 2 -1 0 6 2 1 -1 1 2 0 0 0 1 1 -1 1 -1 -2 -1 -2 -2 1] [ 2 -1 -2 2 6 1 -1 -1 1 0 -2 0 0 0 1 2 -1 0 -2 -4 -2 0] [ 0 0 0 1 1 4 -1 0 -1 0 -2 1 0 0 -1 0 0 0 -1 1 -2 1] [ 1 1 1 -1 -1 -1 4 0 0 0 1 0 1 1 0 0 1 1 0 0 -1 1] [ 1 2 1 1 -1 0 0 4 1 -1 0 -1 0 0 -1 0 -2 0 0 1 1 1] [ 0 -1 1 2 1 -1 0 1 4 0 1 1 0 1 1 2 -1 -2 1 -1 0 1] [-2 0 0 0 0 0 0 -1 0 4 0 2 -1 0 1 0 0 -1 0 0 1 0] [-1 0 0 0 -2 -2 1 0 1 0 4 0 0 -1 0 -1 1 0 2 0 1 -1] [-2 -1 1 0 0 1 0 -1 1 2 0 4 0 0 0 0 1 -1 1 0 -1 0] [ 2 1 1 1 0 0 1 0 0 -1 0 0 4 0 0 0 0 0 0 0 -2 1] [ 1 -1 2 1 0 0 1 0 1 0 -1 0 0 4 -1 2 0 -1 -1 0 0 2] [-1 0 -1 -1 1 -1 0 -1 1 1 0 0 0 -1 4 0 -1 -1 1 0 0 0] [ 1 -1 1 1 2 0 0 0 2 0 -1 0 0 2 0 4 0 -1 -1 -1 0 2] [-1 -2 0 -1 -1 0 1 -2 -1 0 1 1 0 0 -1 0 4 0 1 0 0 0] [ 1 2 -1 -2 0 0 1 0 -2 -1 0 -1 0 -1 -1 -1 0 4 -1 0 0 -1] [-2 -1 1 -1 -2 -1 0 0 1 0 2 1 0 -1 1 -1 1 -1 4 1 1 0] [-2 1 2 -2 -4 1 0 1 -1 0 0 0 0 0 0 -1 0 0 1 6 2 1] [-2 0 0 -2 -2 -2 -1 1 0 1 1 -1 -2 0 0 0 0 0 1 2 6 -1] [ 1 0 2 1 0 1 1 1 1 0 -1 0 1 2 0 2 0 -1 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1259. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 1 0 1 -2 -1 -1 0 1 1 -1 -1 1 2 1 0 -1 0 -1 0] [ 2 6 -3 3 0 2 -1 1 -3 0 0 3 -1 -3 -1 2 2 -1 -1 0 -2 2] [-2 -3 6 -3 2 -2 1 -1 2 -1 1 0 2 1 1 -1 -2 -1 1 -2 2 -2] [ 1 3 -3 6 -1 1 1 2 -1 -1 1 0 -1 -2 -2 -1 1 -1 1 1 -1 1] [ 0 0 2 -1 4 -1 0 0 0 1 0 2 0 -1 1 0 1 0 0 -2 1 -2] [ 1 2 -2 1 -1 4 -1 1 0 1 -1 1 -1 -1 -1 2 1 1 -2 0 -1 1] [-2 -1 1 1 0 -1 4 2 0 0 0 -2 0 0 -2 -2 -1 0 2 0 0 0] [-1 1 -1 2 0 1 2 4 0 0 0 -1 0 0 -1 -1 1 0 1 0 0 0] [-1 -3 2 -1 0 0 0 0 4 -1 1 -2 0 2 1 -1 -1 1 1 0 1 -1] [ 0 0 -1 -1 1 1 0 0 -1 4 -1 1 0 -1 0 0 0 2 -1 0 0 -1] [ 1 0 1 1 0 -1 0 0 1 -1 4 -1 1 0 1 -1 -1 0 1 0 1 -1] [ 1 3 0 0 2 1 -2 -1 -2 1 -1 6 -1 -2 1 2 2 -1 -2 -2 -1 0] [-1 -1 2 -1 0 -1 0 0 0 0 1 -1 4 0 0 -1 -1 -1 0 0 2 -1] [-1 -3 1 -2 -1 -1 0 0 2 -1 0 -2 0 4 1 -1 -1 1 1 1 0 0] [ 1 -1 1 -2 1 -1 -2 -1 1 0 1 1 0 1 4 0 0 0 0 -1 1 -1] [ 2 2 -1 -1 0 2 -2 -1 -1 0 -1 2 -1 -1 0 4 1 0 -2 -1 -1 1] [ 1 2 -2 1 1 1 -1 1 -1 0 -1 2 -1 -1 0 1 4 0 -1 -1 -1 0] [ 0 -1 -1 -1 0 1 0 0 1 2 0 -1 -1 1 0 0 0 4 0 1 0 0] [-1 -1 1 1 0 -2 2 1 1 -1 1 -2 0 1 0 -2 -1 0 4 0 0 0] [ 0 0 -2 1 -2 0 0 0 0 0 0 -2 0 1 -1 -1 -1 1 0 4 0 1] [-1 -2 2 -1 1 -1 0 0 1 0 1 -1 2 0 1 -1 -1 0 0 0 4 -2] [ 0 2 -2 1 -2 1 0 0 -1 -1 -1 0 -1 0 -1 1 0 0 0 1 -2 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1260. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 -2 0 -1 -2 0 -1 0 0 -1 1 1 -1 -2 1 2 2 -2 -2 -1 0] [ 2 4 -2 -1 -1 -2 1 -1 -1 -1 -1 2 0 -1 0 0 2 2 -2 -2 0 0] [-2 -2 4 1 2 2 -1 1 0 0 1 -2 -1 1 2 -1 -2 -2 2 2 0 1] [ 0 -1 1 4 2 2 1 1 1 0 1 -1 1 2 -1 1 -1 -1 -1 2 -1 2] [-1 -1 2 2 4 1 1 2 0 0 2 -1 1 2 1 1 -1 -1 1 1 0 2] [-2 -2 2 2 1 4 0 1 1 0 1 -2 -1 2 0 -1 -2 -2 1 3 0 1] [ 0 1 -1 1 1 0 4 1 0 -1 0 1 0 0 -1 1 1 0 -1 0 1 1] [-1 -1 1 1 2 1 1 4 -1 1 2 0 1 1 -1 0 0 -2 1 0 0 2] [ 0 -1 0 1 0 1 0 -1 4 -1 -1 -1 0 1 0 0 -2 1 0 0 -1 0] [ 0 -1 0 0 0 0 -1 1 -1 4 0 -1 1 0 -2 -1 1 0 1 -1 -1 0] [-1 -1 1 1 2 1 0 2 -1 0 4 -1 1 2 0 1 -1 -2 1 2 0 2] [ 1 2 -2 -1 -1 -2 1 0 -1 -1 -1 4 1 -2 0 1 2 1 -1 -2 0 -1] [ 1 0 -1 1 1 -1 0 1 0 1 1 1 4 0 -2 2 1 0 0 -1 -2 1] [-1 -1 1 2 2 2 0 1 1 0 2 -2 0 4 0 0 -2 -1 0 2 0 2] [-2 0 2 -1 1 0 -1 -1 0 -2 0 0 -2 0 6 0 -2 0 1 0 2 -1] [ 1 0 -1 1 1 -1 1 0 0 -1 1 1 2 0 0 4 1 0 -1 0 0 1] [ 2 2 -2 -1 -1 -2 1 0 -2 1 -1 2 1 -2 -2 1 4 1 -1 -2 0 0] [ 2 2 -2 -1 -1 -2 0 -2 1 0 -2 1 0 -1 0 0 1 4 -1 -2 0 -1] [-2 -2 2 -1 1 1 -1 1 0 1 1 -1 0 0 1 -1 -1 -1 4 0 0 0] [-2 -2 2 2 1 3 0 0 0 -1 2 -2 -1 2 0 0 -2 -2 0 6 1 1] [-1 0 0 -1 0 0 1 0 -1 -1 0 0 -2 0 2 0 0 0 0 1 4 -1] [ 0 0 1 2 2 1 1 2 0 0 2 -1 1 2 -1 1 0 -1 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1261. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 1 1 2 -2 0 0 1 0 0 0 2 0 -1 0 -1 1 0 1 -1] [ 0 4 -2 0 0 0 -1 0 -1 2 -2 0 1 0 -2 -1 -2 1 0 -2 -1 -1] [ 1 -2 4 1 -1 0 -1 0 1 -1 0 -1 0 1 1 -1 1 -1 1 1 2 0] [ 1 0 1 4 -1 0 -2 1 1 -1 0 -2 -1 0 0 1 0 1 1 0 0 1] [ 1 0 -1 -1 4 1 -1 1 -1 1 0 2 -1 -1 -1 -1 0 -1 1 -1 1 1] [ 2 0 0 0 1 4 -2 0 1 2 0 0 0 1 -1 -1 -1 0 0 0 -1 0] [-2 -1 -1 -2 -1 -2 6 0 0 0 1 0 1 0 2 1 0 -1 0 1 -1 0] [ 0 0 0 1 1 0 0 4 1 -1 -1 1 -2 -1 -1 1 0 -1 0 -1 -1 1] [ 0 -1 1 1 -1 1 0 1 4 -1 1 -1 0 1 1 0 0 -1 0 1 0 0] [ 1 2 -1 -1 1 2 0 -1 -1 6 0 -1 1 0 -2 -2 -3 0 0 0 0 0] [ 0 -2 0 0 0 0 1 -1 1 0 4 0 -1 0 2 0 0 -1 0 2 0 0] [ 0 0 -1 -2 2 0 0 1 -1 -1 0 4 -1 0 0 0 1 -1 0 -1 0 0] [ 0 1 0 -1 -1 0 1 -2 0 1 -1 -1 4 1 0 -1 0 0 0 0 1 -1] [ 2 0 1 0 -1 1 0 -1 1 0 0 0 1 4 1 -1 0 0 1 1 0 -1] [ 0 -2 1 0 -1 -1 2 -1 1 -2 2 0 0 1 4 0 1 -1 1 1 1 0] [-1 -1 -1 1 -1 -1 1 1 0 -2 0 0 -1 -1 0 4 1 1 -1 0 -1 1] [ 0 -2 1 0 0 -1 0 0 0 -3 0 1 0 0 1 1 4 0 0 0 1 0] [-1 1 -1 1 -1 0 -1 -1 -1 0 -1 -1 0 0 -1 1 0 4 0 0 -1 1] [ 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 -1 0 0 4 -1 1 1] [ 0 -2 1 0 -1 0 1 -1 1 0 2 -1 0 1 1 0 0 0 -1 4 1 0] [ 1 -1 2 0 1 -1 -1 -1 0 0 0 0 1 0 1 -1 1 -1 1 1 6 0] [-1 -1 0 1 1 0 0 1 0 0 0 0 -1 -1 0 1 0 1 1 0 0 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1262. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -1 -2 -2 -1 -1 -1 1 -2 2 1 -1 -2 -1 -2 -2 1 -2 0 1] [ 1 4 0 -2 0 1 -2 -2 1 1 0 -1 1 1 1 0 1 -1 2 -2 1 0] [ 2 0 4 1 -2 -2 1 0 0 -1 -1 1 0 -2 0 0 -1 0 0 -1 -1 1] [-1 -2 1 4 0 0 1 1 1 -2 1 1 0 -2 0 0 1 1 -1 2 0 0] [-2 0 -2 0 4 1 -1 0 0 0 0 -2 -1 2 0 0 1 0 0 0 0 0] [-2 1 -2 0 1 4 -1 -1 2 0 2 -2 1 0 1 1 1 0 0 0 0 0] [-1 -2 1 1 -1 -1 4 2 -1 -1 0 1 0 0 1 0 -1 2 -1 2 0 -1] [-1 -2 0 1 0 -1 2 4 -1 -1 0 1 0 -1 -1 1 1 2 -2 1 -1 -1] [-1 1 0 1 0 2 -1 -1 4 -1 1 -2 0 -1 1 0 2 0 0 1 0 0] [ 1 1 -1 -2 0 0 -1 -1 -1 4 0 -1 0 2 0 0 -1 -1 0 0 1 1] [-2 0 -1 1 0 2 0 0 1 0 4 0 1 0 2 1 1 1 -1 1 1 0] [ 2 -1 1 1 -2 -2 1 1 -2 -1 0 6 1 -2 -1 0 -2 0 0 0 1 0] [ 1 1 0 0 -1 1 0 0 0 0 1 1 4 -1 0 0 -1 -1 0 -1 1 -1] [-1 1 -2 -2 2 0 0 -1 -1 2 0 -2 -1 6 2 0 1 1 0 0 1 -1] [-2 1 0 0 0 1 1 -1 1 0 2 -1 0 2 6 2 0 1 -1 0 1 0] [-1 0 0 0 0 1 0 1 0 0 1 0 0 0 2 4 1 1 -2 -1 -1 1] [-2 1 -1 1 1 1 -1 1 2 -1 1 -2 -1 1 0 1 6 2 0 1 0 -1] [-2 -1 0 1 0 0 2 2 0 -1 1 0 -1 1 1 1 2 4 -1 2 0 -1] [ 1 2 0 -1 0 0 -1 -2 0 0 -1 0 0 0 -1 -2 0 -1 4 -1 1 0] [-2 -2 -1 2 0 0 2 1 1 0 1 0 -1 0 0 -1 1 2 -1 6 2 -1] [ 0 1 -1 0 0 0 0 -1 0 1 1 1 1 1 1 -1 0 0 1 2 4 -1] [ 1 0 1 0 0 0 -1 -1 0 1 0 0 -1 -1 0 1 -1 -1 0 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1263. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 0 -1 0 -1 -1 -2 1 0 0 -1 2 2 1 -2 0 -1 -2 -1 2] [-2 4 2 1 1 1 -1 0 1 -1 0 0 1 -2 -1 1 1 -1 2 2 1 -2] [-2 2 4 1 2 1 0 0 1 -2 1 0 1 -2 -1 1 0 -1 2 2 1 0] [ 0 1 1 4 2 -1 -2 -1 -1 -1 2 0 2 -2 1 2 -1 1 1 2 -1 1] [-1 1 2 2 4 -1 0 0 -1 -1 2 0 2 -1 1 2 0 1 1 1 -1 0] [ 0 1 1 -1 -1 4 1 1 0 -1 -1 1 0 0 -2 0 0 -2 1 0 1 1] [-1 -1 0 -2 0 1 6 3 2 0 0 2 0 1 -3 -2 0 0 -2 1 0 1] [-1 0 0 -1 0 1 3 4 2 1 -1 2 1 0 -3 0 1 0 -1 1 -1 1] [-2 1 1 -1 -1 0 2 2 6 -1 -2 0 0 -1 -3 0 1 0 0 1 0 0] [ 1 -1 -2 -1 -1 -1 0 1 -1 4 -1 1 -1 1 1 0 1 0 -1 -1 0 -1] [ 0 0 1 2 2 -1 0 -1 -2 -1 4 0 1 -1 1 0 -1 0 0 2 0 1] [ 0 0 0 0 0 1 2 2 0 1 0 4 1 0 -1 1 1 0 0 2 0 0] [-1 1 1 2 2 0 0 1 0 -1 1 1 4 -2 0 1 0 0 0 2 -1 1] [ 2 -2 -2 -2 -1 0 1 0 -1 1 -1 0 -2 4 1 0 0 1 -1 -3 0 0] [ 2 -1 -1 1 1 -2 -3 -3 -3 1 1 -1 0 1 6 1 0 0 0 -2 0 -1] [ 1 1 1 2 2 0 -2 0 0 0 0 1 1 0 1 6 1 1 2 0 -1 1] [-2 1 0 -1 0 0 0 1 1 1 -1 1 0 0 0 1 4 0 1 0 1 -2] [ 0 -1 -1 1 1 -2 0 0 0 0 0 0 0 1 0 1 0 4 0 0 -1 0] [-1 2 2 1 1 1 -2 -1 0 -1 0 0 0 -1 0 2 1 0 4 0 1 -1] [-2 2 2 2 1 0 1 1 1 -1 2 2 2 -3 -2 0 0 0 0 6 1 0] [-1 1 1 -1 -1 1 0 -1 0 0 0 0 -1 0 0 -1 1 -1 1 1 4 -2] [ 2 -2 0 1 0 1 1 1 0 -1 1 0 1 0 -1 1 -2 0 -1 0 -2 6] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1264. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -2 -1 -1 -1 0 -1 0 1 -1 0 -2 1 -1 1 2 2 -2 0 -1 0] [-2 4 2 1 2 -1 0 0 -1 0 0 0 1 1 1 -1 -1 -2 1 0 1 1] [-2 2 4 2 1 0 -1 1 -1 1 0 -1 2 1 1 -2 -2 -2 2 0 1 1] [-1 1 2 4 2 0 1 -1 1 2 0 -2 1 2 2 -1 -1 -1 1 0 -1 2] [-1 2 1 2 4 -1 1 -1 1 1 0 -1 0 2 1 0 -1 -2 1 1 0 2] [-1 -1 0 0 -1 4 -1 0 0 0 1 1 0 -2 1 1 0 1 0 1 -1 0] [ 0 0 -1 1 1 -1 4 -2 2 -1 1 -1 0 2 0 1 1 0 -1 0 -1 1] [-1 0 1 -1 -1 0 -2 4 -2 0 0 0 1 -1 0 -2 -2 -1 1 0 1 -1] [ 0 -1 -1 1 1 0 2 -2 4 -1 0 -1 0 1 0 1 0 0 0 1 0 1] [ 1 0 1 2 1 0 -1 0 -1 6 -2 -2 0 0 2 0 -1 -1 -1 0 -1 2] [-1 0 0 0 0 1 1 0 0 -2 4 0 0 1 1 0 1 0 1 -1 -1 0] [ 0 0 -1 -2 -1 1 -1 0 -1 -2 0 4 0 -1 -2 0 1 1 0 0 1 -2] [-2 1 2 1 0 0 0 1 0 0 0 0 4 1 0 -2 -1 -1 2 -1 1 0] [ 1 1 1 2 2 -2 2 -1 1 0 1 -1 1 6 0 -1 1 -1 1 0 0 2] [-1 1 1 2 1 1 0 0 0 2 1 -2 0 0 4 0 -1 -1 0 0 -1 2] [ 1 -1 -2 -1 0 1 1 -2 1 0 0 0 -2 -1 0 4 2 1 -2 1 -1 1] [ 2 -1 -2 -1 -1 0 1 -2 0 -1 1 1 -1 1 -1 2 4 2 -1 -1 -1 0] [ 2 -2 -2 -1 -2 1 0 -1 0 -1 0 1 -1 -1 -1 1 2 4 -1 0 -1 -1] [-2 1 2 1 1 0 -1 1 0 -1 1 0 2 1 0 -2 -1 -1 4 -1 1 0] [ 0 0 0 0 1 1 0 0 1 0 -1 0 -1 0 0 1 -1 0 -1 4 1 1] [-1 1 1 -1 0 -1 -1 1 0 -1 -1 1 1 0 -1 -1 -1 -1 1 1 4 -1] [ 0 1 1 2 2 0 1 -1 1 2 0 -2 0 2 2 1 0 -1 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1265. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 0 2 -1 2 -1 -1 0 -2 1 2 1 -1 0 0 -1 -2 1 0 0 0] [-1 4 -1 0 -1 -1 -1 -1 0 -1 1 -2 -1 1 -1 1 -1 0 -1 1 -1 1] [ 0 -1 4 0 -1 -1 -1 1 -1 1 -1 0 2 1 1 1 -1 0 2 -2 0 1] [ 2 0 0 4 -2 2 -1 -2 1 -2 0 1 1 -1 1 1 -2 -2 1 0 -1 0] [-1 -1 -1 -2 4 -1 2 2 1 2 0 0 0 -1 0 -2 2 1 -1 0 1 0] [ 2 -1 -1 2 -1 4 -1 -1 0 -1 0 2 0 -2 0 1 -1 -2 1 0 -1 0] [-1 -1 -1 -1 2 -1 4 0 0 2 0 0 0 -1 0 -2 2 2 -1 0 1 0] [-1 -1 1 -2 2 -1 0 4 0 2 -1 0 0 0 1 -1 1 1 0 0 0 1] [ 0 0 -1 1 1 0 0 0 4 -1 -1 0 0 0 1 -1 1 0 0 0 -1 0] [-2 -1 1 -2 2 -1 2 2 -1 6 -1 -1 1 0 -1 0 2 2 -1 0 1 1] [ 1 1 -1 0 0 0 0 -1 -1 -1 4 -1 0 0 -1 0 0 0 0 0 1 0] [ 2 -2 0 1 0 2 0 0 0 -1 -1 4 1 -2 0 -1 0 -1 1 -1 -1 -1] [ 1 -1 2 1 0 0 0 0 0 1 0 1 4 -1 1 0 0 -1 2 -1 0 1] [-1 1 1 -1 -1 -2 -1 0 0 0 0 -2 -1 4 -1 1 0 1 -1 0 1 0] [ 0 -1 1 1 0 0 0 1 1 -1 -1 0 1 -1 4 -1 -1 -1 2 0 -1 1] [ 0 1 1 1 -2 1 -2 -1 -1 0 0 -1 0 1 -1 4 -1 -1 0 0 0 1] [-1 -1 -1 -2 2 -1 2 1 1 2 0 0 0 0 -1 -1 4 2 -1 0 1 0] [-2 0 0 -2 1 -2 2 1 0 2 0 -1 -1 1 -1 -1 2 4 -1 0 1 0] [ 1 -1 2 1 -1 1 -1 0 0 -1 0 1 2 -1 2 0 -1 -1 4 -2 -1 1] [ 0 1 -2 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 0 -2 4 1 0] [ 0 -1 0 -1 1 -1 1 0 -1 1 1 -1 0 1 -1 0 1 1 -1 1 4 -1] [ 0 1 1 0 0 0 0 1 0 1 0 -1 1 0 1 1 0 0 1 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1266. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 2 -2 0 2 1 0 -1 -2 -2 -1 1 2 0 2 2 1 1 -1 0 0] [-2 4 -2 2 1 -1 0 -1 0 1 1 2 -1 -2 0 0 -1 -1 -1 2 1 1] [ 2 -2 4 -2 -1 1 0 0 0 -2 -1 -1 1 2 1 2 1 1 0 -1 -1 1] [-2 2 -2 4 1 -1 0 1 1 1 0 2 -1 -2 1 -2 -2 -1 -1 2 0 0] [ 0 1 -1 1 4 0 2 1 -1 0 0 2 1 0 0 -1 0 1 -1 2 0 1] [ 2 -1 1 -1 0 4 -1 0 1 -1 -1 0 2 2 -1 0 1 2 0 1 0 -1] [ 1 0 0 0 2 -1 4 0 -2 -1 -1 1 0 1 1 0 0 1 -1 0 0 1] [ 0 -1 0 1 1 0 0 4 1 0 -1 0 1 1 1 0 -1 0 0 1 0 0] [-1 0 0 1 -1 1 -2 1 4 1 0 0 0 -1 0 -1 -1 0 -1 0 -1 -1] [-2 1 -2 1 0 -1 -1 0 1 4 2 0 0 -1 0 -2 0 0 0 -1 -1 -1] [-2 1 -1 0 0 -1 -1 -1 0 2 4 1 0 0 0 -2 -1 0 -1 0 0 -1] [-1 2 -1 2 2 0 1 0 0 0 1 4 0 0 0 -2 -1 1 -2 3 1 1] [ 1 -1 1 -1 1 2 0 1 0 0 0 0 4 3 0 0 1 2 -1 1 0 0] [ 2 -2 2 -2 0 2 1 1 -1 -1 0 0 3 6 0 0 0 2 0 0 0 0] [ 0 0 1 1 0 -1 1 1 0 0 0 0 0 0 4 1 -1 0 -1 -1 0 0] [ 2 0 2 -2 -1 0 0 0 -1 -2 -2 -2 0 0 1 6 2 -1 1 -1 1 2] [ 2 -1 1 -2 0 1 0 -1 -1 0 -1 -1 1 0 -1 2 4 1 1 -1 0 1] [ 1 -1 1 -1 1 2 1 0 0 0 0 1 2 2 0 -1 1 4 -1 1 0 0] [ 1 -1 0 -1 -1 0 -1 0 -1 0 -1 -2 -1 0 -1 1 1 -1 4 -2 0 0] [-1 2 -1 2 2 1 0 1 0 -1 0 3 1 0 -1 -1 -1 1 -2 6 2 1] [ 0 1 -1 0 0 0 0 0 -1 -1 0 1 0 0 0 1 0 0 0 2 4 0] [ 0 1 1 0 1 -1 1 0 -1 -1 -1 1 0 0 0 2 1 0 0 1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1267. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 0 1 0 0 -1 0 0 -1 1 1 1 0 -1 2 -1 1 -1 2 0 -1 0] [ 0 4 -1 0 0 2 0 0 2 -1 0 0 -1 2 -1 -1 -1 1 -1 0 0 2] [ 1 -1 4 -1 1 0 0 1 0 1 1 2 -1 1 0 1 -1 1 2 1 -1 0] [ 0 0 -1 4 -2 0 -1 -2 0 -2 1 1 1 0 0 0 1 0 0 -2 0 1] [ 0 0 1 -2 4 1 1 2 0 1 1 0 -2 1 0 -1 -1 -1 1 2 -1 0] [-1 2 0 0 1 4 -1 0 2 0 1 1 -1 3 -1 -1 -2 1 -1 0 -1 2] [ 0 0 0 -1 1 -1 4 0 0 -1 0 -1 1 0 0 -1 -1 1 1 0 1 0] [ 0 0 1 -2 2 0 0 4 1 2 1 0 -2 0 0 1 -1 -1 1 2 0 0] [-1 2 0 0 0 2 0 1 4 -1 1 1 -1 1 -1 0 -2 1 -1 0 1 2] [ 1 -1 1 -2 1 0 -1 2 -1 4 0 0 -1 0 1 1 0 -1 1 1 -1 -1] [ 1 0 1 1 1 1 0 1 1 0 4 2 0 0 1 0 -1 0 2 0 -1 1] [ 1 0 2 1 0 1 -1 0 1 0 2 4 -1 1 1 1 0 0 1 -1 -1 1] [ 0 -1 -1 1 -2 -1 1 -2 -1 -1 0 -1 4 -1 1 0 0 1 0 -1 0 0] [-1 2 1 0 1 3 0 0 1 0 0 1 -1 6 -2 0 -1 1 0 0 -2 2] [ 2 -1 0 0 0 -1 0 0 -1 1 1 1 1 -2 4 0 1 -1 1 -1 0 -1] [-1 -1 1 0 -1 -1 -1 1 0 1 0 1 0 0 0 4 1 0 0 0 0 0] [ 1 -1 -1 1 -1 -2 -1 -1 -2 0 -1 0 0 -1 1 1 4 -2 0 -1 0 -1] [-1 1 1 0 -1 1 1 -1 1 -1 0 0 1 1 -1 0 -2 4 0 0 1 1] [ 2 -1 2 0 1 -1 1 1 -1 1 2 1 0 0 1 0 0 0 4 0 -1 0] [ 0 0 1 -2 2 0 0 2 0 1 0 -1 -1 0 -1 0 -1 0 0 4 0 0] [-1 0 -1 0 -1 -1 1 0 1 -1 -1 -1 0 -2 0 0 0 1 -1 0 4 -1] [ 0 2 0 1 0 2 0 0 2 -1 1 1 0 2 -1 0 -1 1 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1268. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 -2 2 -1 -1 -1 2 1 -2 0 1 1 2 0 0 2 -1 0 -1 -1 1] [ 1 4 0 0 -1 1 1 1 -1 1 1 -1 1 0 -1 -1 1 0 1 -2 -2 1] [-2 0 4 -2 0 1 0 -2 -1 0 -1 0 0 -1 0 1 -1 2 -1 0 -1 1] [ 2 0 -2 4 1 -2 -1 1 2 0 0 0 -1 1 1 0 0 -2 1 0 -1 0] [-1 -1 0 1 4 -1 0 0 0 0 -1 1 -1 0 0 -1 -1 0 0 1 1 -1] [-1 1 1 -2 -1 4 0 0 0 1 1 0 1 0 -2 -1 -1 0 1 -1 0 -1] [-1 1 0 -1 0 0 4 1 -1 0 0 0 0 0 0 -1 1 0 0 0 -1 0] [ 2 1 -2 1 0 0 1 4 1 0 0 1 0 2 0 -2 2 -2 0 -1 -1 -1] [ 1 -1 -1 2 0 0 -1 1 4 0 0 1 0 2 0 0 0 -2 0 1 -1 -1] [-2 1 0 0 0 1 0 0 0 6 2 -2 0 -1 -1 0 -2 -1 2 0 1 -1] [ 0 1 -1 0 -1 1 0 0 0 2 4 -2 1 0 -1 0 0 0 2 -1 1 0] [ 1 -1 0 0 1 0 0 1 1 -2 -2 4 1 1 -1 -1 1 0 -1 0 -1 -1] [ 1 1 0 -1 -1 1 0 0 0 0 1 1 4 0 -1 0 1 0 1 0 0 1] [ 2 0 -1 1 0 0 0 2 2 -1 0 1 0 4 -1 0 1 -1 -1 0 0 0] [ 0 -1 0 1 0 -2 0 0 0 -1 -1 -1 -1 -1 4 0 0 -1 0 1 -1 1] [ 0 -1 1 0 -1 -1 -1 -2 0 0 0 -1 0 0 0 4 0 1 -1 1 1 2] [ 2 1 -1 0 -1 -1 1 2 0 -2 0 1 1 1 0 0 4 0 -1 -1 -1 1] [-1 0 2 -2 0 0 0 -2 -2 -1 0 0 0 -1 -1 1 0 4 -1 0 1 1] [ 0 1 -1 1 0 1 0 0 0 2 2 -1 1 -1 0 -1 -1 -1 4 -1 0 0] [-1 -2 0 0 1 -1 0 -1 1 0 -1 0 0 0 1 1 -1 0 -1 4 2 0] [-1 -2 -1 -1 1 0 -1 -1 -1 1 1 -1 0 0 -1 1 -1 1 0 2 6 -1] [ 1 1 1 0 -1 -1 0 -1 -1 -1 0 -1 1 0 1 2 1 1 0 0 -1 4] |Aut| = [ <2, 3> ] Modular = true LatDB = - 1269. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -1 2 0 0 2 0 -1 -2 -1 -1 1 2 0 2 1 -1 -1 -1 2 0 1] [-1 6 -3 1 2 1 1 -1 1 2 2 2 -1 1 -1 -3 -2 1 1 1 -2 1] [ 2 -3 6 -2 -1 1 1 -1 -2 -1 -1 -1 2 1 2 3 1 1 1 1 1 1] [ 0 1 -2 4 0 0 -1 -1 -1 0 0 1 0 -1 1 -2 0 0 -1 0 -1 0] [ 0 2 -1 0 4 0 1 1 0 2 2 1 -1 1 0 0 0 0 -1 0 -2 1] [ 2 1 1 0 0 4 1 -1 -1 1 -1 2 1 0 2 -1 -2 -1 1 2 0 1] [ 0 1 1 -1 1 1 4 1 -1 1 0 -1 -1 2 -1 -1 -1 1 0 0 -1 2] [-1 -1 -1 -1 1 -1 1 4 0 1 1 -1 -2 1 -2 1 0 -1 -1 -2 -1 0] [-2 1 -2 -1 0 -1 -1 0 4 1 1 0 -1 -1 -2 0 1 0 1 0 1 -1] [-1 2 -1 0 2 1 1 1 1 4 2 1 -1 0 -1 -1 0 0 0 0 -1 1] [-1 2 -1 0 2 -1 0 1 1 2 4 1 -1 1 -1 1 0 0 0 0 -1 1] [ 1 2 -1 1 1 2 -1 -1 0 1 1 4 0 -1 2 0 -1 -1 1 1 0 0] [ 2 -1 2 0 -1 1 -1 -2 -1 -1 -1 0 4 -1 1 1 0 -1 0 2 1 0] [ 0 1 1 -1 1 0 2 1 -1 0 1 -1 -1 4 -1 0 -1 1 0 0 -1 2] [ 2 -1 2 1 0 2 -1 -2 -2 -1 -1 2 1 -1 6 1 -1 -1 0 1 0 -1] [ 1 -3 3 -2 0 -1 -1 1 0 -1 1 0 1 0 1 6 2 -1 0 0 1 0] [-1 -2 1 0 0 -2 -1 0 1 0 0 -1 0 -1 -1 2 4 1 0 -1 1 0] [-1 1 1 0 0 -1 1 -1 0 0 0 -1 -1 1 -1 -1 1 4 1 0 0 1] [-1 1 1 -1 -1 1 0 -1 1 0 0 1 0 0 0 0 0 1 4 0 1 0] [ 2 1 1 0 0 2 0 -2 0 0 0 1 2 0 1 0 -1 0 0 4 1 1] [ 0 -2 1 -1 -2 0 -1 -1 1 -1 -1 0 1 -1 0 1 1 0 1 1 4 -1] [ 1 1 1 0 1 1 2 0 -1 1 1 0 0 2 -1 0 0 1 0 1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1270. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 -2 -1 1 2 -2 2 -1 -1 1 -1 1 -2 1 1 0 -1 -2 -2 0 -1 1] [-2 4 0 -1 -2 2 0 -1 -1 1 0 -1 0 -2 1 -1 0 0 0 0 0 0] [-1 0 4 1 -1 0 -2 1 2 -2 -1 1 -1 0 1 0 -1 1 0 -1 -1 1] [ 1 -1 1 4 0 0 0 0 0 0 1 0 0 -1 -1 1 0 -1 1 0 -1 0] [ 2 -2 -1 0 4 -2 1 -1 0 0 0 1 -1 2 1 1 1 0 -2 -1 0 1] [-2 2 0 0 -2 4 -1 0 -1 0 0 0 2 -2 0 -1 0 0 1 0 0 0] [ 2 0 -2 0 1 -1 4 -2 -2 1 0 -1 0 0 1 -1 0 -2 0 1 -1 0] [-1 -1 1 0 -1 0 -2 4 2 -1 0 0 1 0 -2 0 -1 2 2 1 0 0] [-1 -1 2 0 0 -1 -2 2 4 -1 0 1 -1 1 -1 0 0 2 1 -1 1 0] [ 1 1 -2 0 0 0 1 -1 -1 4 1 -1 -1 -1 0 0 0 -1 -1 0 0 -1] [-1 0 -1 1 0 0 0 0 0 1 4 -2 1 0 -1 1 2 0 1 0 1 -2] [ 1 -1 1 0 1 0 -1 0 1 -1 -2 4 -2 1 0 -1 -1 1 -2 -1 0 1] [-2 0 -1 0 -1 2 0 1 -1 -1 1 -2 6 -1 -2 1 0 0 3 2 0 -1] [ 1 -2 0 -1 2 -2 0 0 1 -1 0 1 -1 4 0 0 1 0 -2 0 1 0] [ 1 1 1 -1 1 0 1 -2 -1 0 -1 0 -2 0 6 0 -1 -1 -2 -1 -2 1] [ 0 -1 0 1 1 -1 -1 0 0 0 1 -1 1 0 0 4 1 0 0 0 0 0] [-1 0 -1 0 1 0 0 -1 0 0 2 -1 0 1 -1 1 4 0 0 -1 2 0] [-2 0 1 -1 0 0 -2 2 2 -1 0 1 0 0 -1 0 0 4 1 0 1 0] [-2 0 0 1 -2 1 0 2 1 -1 1 -2 3 -2 -2 0 0 1 6 1 0 -1] [ 0 0 -1 0 -1 0 1 1 -1 0 0 -1 2 0 -1 0 -1 0 1 4 0 -1] [-1 0 -1 -1 0 0 -1 0 1 0 1 0 0 1 -2 0 2 1 0 0 4 -1] [ 1 0 1 0 1 0 0 0 0 -1 -2 1 -1 0 1 0 0 0 -1 -1 -1 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1271. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 1 2 -2 1 2 -1 -1 1 0 1 -1 -2 -1 -1 0 -1 1 1 1 0 0] [ 1 4 2 1 2 1 -2 0 -1 1 1 -2 0 0 -1 -1 -2 1 -1 1 1 0] [ 2 2 4 -1 2 1 -1 -1 0 1 0 -1 -1 -1 0 -1 -2 0 0 0 1 1] [-2 1 -1 4 0 0 -1 0 -1 1 0 -1 2 0 0 -1 0 0 -1 0 1 -1] [ 1 2 2 0 4 2 -1 0 -1 0 1 -2 0 1 -1 -2 -2 0 0 1 0 1] [ 2 1 1 0 2 4 -2 0 1 0 2 -1 0 -1 -2 -1 -1 0 0 2 0 -1] [-1 -2 -1 -1 -1 -2 4 -1 0 -1 -2 1 0 1 1 1 1 -1 1 -1 -1 0] [-1 0 -1 0 0 0 -1 4 -1 -1 1 0 1 1 1 -1 0 0 0 -1 -1 0] [ 1 -1 0 -1 -1 1 0 -1 4 -1 0 1 0 -1 -1 2 1 -1 -1 1 -1 0] [ 0 1 1 1 0 0 -1 -1 -1 4 -1 0 0 -1 0 0 0 1 0 0 1 0] [ 1 1 0 0 1 2 -2 1 0 -1 4 0 -1 -1 -2 0 0 1 -1 1 1 0] [-1 -2 -1 -1 -2 -1 1 0 1 0 0 4 -1 0 0 2 1 0 0 -1 0 0] [-2 0 -1 2 0 0 0 1 0 0 -1 -1 4 0 1 -1 0 -1 -1 0 0 0] [-1 0 -1 0 1 -1 1 1 -1 -1 -1 0 0 4 0 -1 -1 0 1 0 -2 0] [-1 -1 0 0 -1 -2 1 1 -1 0 -2 0 1 0 4 0 0 0 1 -2 0 0] [ 0 -1 -1 -1 -2 -1 1 -1 2 0 0 2 -1 -1 0 4 2 0 -1 0 0 0] [-1 -2 -2 0 -2 -1 1 0 1 0 0 1 0 -1 0 2 4 -1 0 -1 0 0] [ 1 1 0 0 0 0 -1 0 -1 1 1 0 -1 0 0 0 -1 4 1 1 0 -1] [ 1 -1 0 -1 0 0 1 0 -1 0 -1 0 -1 1 1 -1 0 1 4 -1 -1 -1] [ 1 1 0 0 1 2 -1 -1 1 0 1 -1 0 0 -2 0 -1 1 -1 4 0 -1] [ 0 1 1 1 0 0 -1 -1 -1 1 1 0 0 -2 0 0 0 0 -1 0 4 0] [ 0 0 1 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 -1 -1 -1 0 4] |Aut| = [ <2, 3> ] Modular = false LatDB = - 1272. Standard Lattice of rank 22 and degree 22 Determinant: 177147 Factored Determinant: 3^11 Minimum: 4 Kissing Number: 396 Inner Product Matrix: [ 4 2 1 2 2 2 0 1 0 0 -2 -1 0 0 0 1 -1 -2 2 0 -1 -2] [ 2 4 2 1 2 1 0 -1 0 0 -2 -2 0 -1 0 1 0 -2 2 0 0 -1] [ 1 2 4 -1 1 -1 0 -2 0 0 -1 -1 0 -2 0 -1 0 -1 1 0 0 -2] [ 2 1 -1 4 1 2 -1 2 -1 0 0 0 -1 0 0 2 -1 -1 1 -1 0 -1] [ 2 2 1 1 4 1 1 -1 -1 1 -2 -2 0 0 -1 0 1 -2 1 1 0 0] [ 2 1 -1 2 1 4 1 2 -1 -1 -1 0 1 1 -1 1 0 -1 2 1 -1 0] [ 0 0 0 -1 1 1 4 -1 -1 0 0 0 2 0 -2 0 0 0 0 2 0 2] [ 1 -1 -2 2 -1 2 -1 6 -1 0 -1 0 -1 0 1 2 -2 1 1 0 -1 -2] [ 0 0 0 -1 -1 -1 -1 -1 4 1 1 0 -1 0 2 0 0 1 0 0 1 -1] [ 0 0 0 0 1 -1 0 0 1 4 -1 -1 -1 0 1 0 1 1 0 0 0 0] [-2 -2 -1 0 -2 -1 0 -1 1 -1 6 1 0 0 0 0 0 2 -1 -1 2 1] [-1 -2 -1 0 -2 0 0 0 0 -1 1 4 1 0 -1 -1 0 1 -1 -1 -1 0] [ 0 0 0 -1 0 1 2 -1 -1 -1 0 1 4 0 -1 -1 1 -1 1 1 -1 2] [ 0 -1 -2 0 0 1 0 0 0 0 0 0 0 4 -1 0 1 0 -1 0 0 2] [ 0 0 0 0 -1 -1 -2 1 2 1 0 -1 -1 -1 4 0 -1 0 1 0 0 -1] [ 1 1 -1 2 0 1 0 2 0 0 0 -1 -1 0 0 4 -1 0 0 0 1 0] [-1 0 0 -1 1 0 0 -2 0 1 0 0 1 1 -1 -1 4 0 0 0 0 2] [-2 -2 -1 -1 -2 -1 0 1 1 1 2 1 -1 0 0 0 0 4 -1 0 1 0] [ 2 2 1 1 1 2 0 1 0 0 -1 -1 1 -1 1 0 0 -1 4 0 -1 -1] [ 0 0 0 -1 1 1 2 0 0 0 -1 -1 1 0 0 0 0 0 0 4 1 1] [-1 0 0 0 0 -1 0 -1 1 0 2 -1 -1 0 0 1 0 1 -1 1 4 0] [-2 -1 -2 -1 0 0 2 -2 -1 0 1 0 2 2 -1 0 2 0 -1 1 0 6] |Aut| = [ <2, 3> ] Modular = true LatDB = - */ // Data Liste:=[ PowerStructure(Lat) | LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, -2, 0, 0, 0, 0, 1, 0, -1, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -1, 4, 1, 2, 2, 1, -1, 1, -1, -2, 1, 2, 1, -1, -2, -1, -2, 2, -2, -1, 2, -1, 0, 1, 4, -1, -1, 2, 1, 2, 1, -2, 2, 0, 1, -1, -1, -1, -1, 0, -1, -1, 1, -1, -1, 2, -1, 4, 1, 0, 0, 0, 0, -1, 0, 2, -1, 1, 0, 1, 0, 2, 0, 1, 0, 1, -2, 2, -1, 1, 4, -1, -2, -1, -2, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 0, 1, 2, 0, -1, 4, 2, 2, 1, -2, 2, 0, 1, -2, -2, -2, -1, 0, -2, -1, 1, -2, 0, -1, 1, 0, -2, 2, 4, 1, 2, -1, 1, 0, -1, -1, -1, -1, 1, 0, -1, 1, -1, -1, 0, 1, 2, 0, -1, 2, 1, 4, 2, 0, 2, 0, 2, 0, -2, -2, -2, 0, -2, -2, 0, -2, 0, -1, 1, 0, -2, 1, 2, 2, 4, 0, 1, 0, 1, 0, -1, -1, -1, 0, -1, -1, 0, -1, 1, -2, -2, -1, -1, -2, -1, 0, 0, 6, 0, -2, 0, 0, 1, 0, 1, -2, 1, 0, -1, -1, 0, 1, 2, 0, -1, 2, 1, 2, 1, 0, 4, -1, 0, -2, -2, -2, -1, 0, -2, -1, 1, -2, -1, 2, 0, 2, 1, 0, 0, 0, 0, -2, -1, 4, 1, 0, -1, 0, 0, 2, -1, 1, 0, 0, 2, 1, 1, -1, -1, 1, -1, 2, 1, 0, 0, 1, 6, -1, 0, -2, -2, -1, 0, -4, 1, -2, -2, -1, -1, 1, 1, -2, -1, 0, 0, 0, -2, 0, -1, 6, 2, 4, -1, 1, 2, 1, -1, 4, 2, -2, -1, 0, -1, -2, -1, -2, -1, 1, -2, -1, 0, 2, 6, 2, 2, -1, 4, 0, -1, 2, -2, -1, -1, 1, 1, -2, -1, -2, -1, 0, -2, 0, -2, 4, 2, 6, 1, 1, 2, 2, 0, 4, 2, -2, -1, 0, -1, -1, 1, -2, -1, 1, -1, 0, -2, -1, 2, 1, 6, -1, 2, 2, -3, 0, -2, 2, 0, 2, 1, 0, 0, 0, 0, -2, 0, 2, -1, 1, -1, 1, -1, 4, -1, 1, 1, 1, 2, -2, -1, 0, -1, -2, -1, -2, -1, 1, -2, -1, 0, 2, 4, 2, 2, -1, 6, 1, -2, 2, -2, -1, -1, 1, 1, -1, 1, -2, -1, 0, -1, 1, -4, 1, 0, 2, 2, 1, 1, 6, -1, 2, -2, 2, 1, 0, 1, 1, -1, 0, 0, -1, 1, 0, 1, -1, -1, 0, -3, 1, -2, -1, 6, 0, -2, -1, -1, 1, 1, -2, -1, -2, -1, -1, -2, 0, -2, 4, 2, 4, 0, 1, 2, 2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -2, -1, -2, 0, -2, 0, 2, -2, 1, 1, 2, -2, -1, -2, -2, -2, -2, -2, 2, -1, 4, -1, 2, 0, 1, 0, 1, 0, -2, -1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, -2, -1, 4, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, -2, 2, -1, 0, 2, 0, 2, 0, -1, -2, 2, 1, 6, -1, 0, -2, 0, -2, -1, 1, -1, 2, -3, 1, 2, 0, 3, 0, 1, -1, -2, -1, 0, 1, -1, 4, 0, 2, 0, 2, 0, 1, -1, 0, -1, 2, -2, 0, -1, 0, 2, 2, 1, -2, 1, 0, 0, 0, 4, 1, 2, 0, -2, 1, -1, -1, -1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, -2, 2, 1, 4, 0, 2, 0, -1, -1, 0, 1, 0, -2, 0, -2, 0, 1, 2, 2, -2, 1, 0, 0, 0, 2, 0, 4, 1, -2, 0, -1, -1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, -2, 2, 0, 2, 1, 4, 0, 0, -1, 0, 0, 0, -2, 0, -2, 0, 1, 2, 2, 2, -2, -1, -1, 0, -2, 0, -2, 0, 6, -1, -2, -1, -1, -2, -1, -2, 1, -2, 0, -3, -1, -2, -1, 1, 1, 1, 1, -1, 0, 0, -1, 6, -2, -1, -2, 1, 0, 0, 1, 0, 2, 1, -3, 1, 1, 0, -1, -1, -1, -1, -1, -1, -2, -2, 6, 1, 3, 0, 0, 1, 0, 1, -2, -1, 1, 1, 1, 0, 2, 0, -1, 0, -1, 0, -1, -1, 1, 4, 0, 0, 0, -1, 0, -1, 0, -1, 1, 2, 0, -2, -3, -1, -1, 1, 0, 0, -1, -2, 3, 0, 6, -2, 0, 0, -2, 0, -2, 0, 1, -2, 0, 2, 1, 2, 1, 0, 1, 0, -2, 1, 0, 0, -2, 4, 0, 1, 0, 1, 1, 2, 0, -1, 1, -1, 2, -2, 1, -2, 1, -2, -1, 0, 0, 0, 0, 0, 4, 1, 1, 1, -1, 0, -2, -2, 1, 0, 0, 0, 2, 0, 2, 0, -2, 0, 1, -1, 0, 1, 1, 4, 1, 2, 0, 2, 0, -2, 0, 2, 3, -1, 0, -2, 0, -2, 1, 1, 0, 0, -2, 0, 1, 1, 6, 0, 1, -2, -3, -2, 1, 0, 0, 0, 2, 0, 2, 0, -2, 0, 1, -1, 0, 1, 1, 2, 0, 4, 0, 1, 0, -2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, -2, 0, -2, 1, -1, 0, 1, 0, 4, 1, -1, -2, 1, 0, -1, 2, 2, 2, 2, 2, -3, 1, -1, -1, 0, 2, 0, 2, -2, 1, 1, 6, 1, 2, 1, -1, -2, 1, 0, 2, 0, 2, -1, -3, 1, 1, 1, 0, -2, 0, -3, 0, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, 2, 1, -1, -1, -2, 2, -1, -1, 1, 2, 1, 1, 2, -1, -2, 2, -2, 1, 4, -2, 2, -1, 0, 2, 1, -2, -1, 1, -2, 1, -1, 2, 2, -1, 2, -2, 1, -1, -1, -1, -2, 4, -2, 2, -1, -2, -1, 2, 1, 0, 2, -1, 1, -1, -2, 1, 0, 2, -1, -1, 1, 1, 2, -2, 4, -1, 0, 2, 0, -2, -1, 0, -2, 1, -1, 0, 2, 0, 1, -2, 1, 1, 0, -2, -1, 2, -1, 4, -2, -1, 1, 1, 2, 0, 1, 1, -1, -2, -1, -1, 0, 1, 1, -2, 2, 2, 0, -1, 0, -2, 4, 1, -1, -1, -2, 0, -1, -1, 0, 0, 0, 1, 1, -1, -1, 1, -1, 1, 2, -2, 2, -1, 1, 4, 0, -2, -1, 0, -2, 1, 0, 1, 2, -1, 0, -2, 1, 1, 0, -1, 1, -1, 0, 1, -1, 0, 4, -1, 1, -1, -1, 2, -2, -1, 0, -2, -1, -1, 2, 0, 0, -1, -2, 2, -2, 1, -1, -2, -1, 4, 2, 0, 2, -1, 1, -1, -2, 1, 0, 2, -1, 0, 1, -2, -1, 1, -1, 2, -2, -1, 1, 2, 4, 0, 1, 1, -1, -2, -1, -1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, 1, 1, 0, 1, 3, 0, -1, 0, -1, -1, -2, 2, -2, 1, -1, -2, -1, 2, 1, 0, 4, -2, 1, -1, -2, 1, 0, 2, -1, 0, 1, -1, 1, -1, 1, 1, -1, 1, 2, -1, 1, 0, -2, 4, -2, -1, 1, -2, 0, -1, 2, 0, 1, 1, -1, 1, -1, -1, 0, 0, -2, 1, -1, 1, 1, -2, 4, 2, -1, 2, -1, 1, -2, 1, -1, 2, 2, -1, 0, -2, 0, 1, -1, -1, -2, 1, -1, -1, 2, 6, 2, 0, 0, -1, -1, 0, -3, 1, 2, -2, 2, -1, 0, 2, 0, -2, -1, 0, -2, 1, -1, 2, 4, -1, 0, -2, 1, 0, -1, 1, -1, 1, 0, -1, 1, -1, -2, 1, -1, 1, 1, -2, 2, 0, -1, 4, 1, 1, -2, 1, -1, 2, 2, 0, 1, 0, 1, 0, -1, 0, 0, 3, 0, 0, -1, 0, 0, 1, 6, 0, -1, 0, 0, -1, -2, 2, -2, 1, -1, -2, -1, 2, 1, 0, 2, -1, 1, -1, -2, 1, 0, 4, -1, -1, 1, -2, 1, -1, 1, 1, -1, 1, 2, -1, 1, -1, -1, 2, -2, -1, 1, -2, -1, -1, 4, -1, 1, 2, -1, -1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, -1, 6, -1, -2, -1, 1, 0, 2, -1, 0, 0, 1, 2, -1, 1, 1, -1, -3, -1, -1, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 1, -2, 1, -2, 1, -2, 2, 1, -2, 1, -1, 1, 1, 2, 0, -1, -1, 2, 1, 4, -1, -1, 2, 0, -1, 0, 2, 0, -1, 2, 0, -1, -2, -1, -1, 0, 0, -2, 1, 0, 2, -1, 4, 1, 0, -2, 0, -2, 0, -2, 1, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, -1, 1, 4, -1, -1, 2, -1, -1, -1, 1, -1, -1, 2, 1, 2, 2, 1, 0, 1, -2, 1, 1, 2, 0, -1, 4, -1, -1, 0, 2, -1, -1, 2, -1, 0, -2, -2, 0, 1, 1, 0, 0, -1, -2, 0, -2, -1, -1, 4, -1, 2, -1, 2, 0, -1, 2, -1, 0, 1, 0, -1, -1, -1, 1, 0, 1, -1, 0, 2, -1, -1, 4, -1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -2, 0, -2, -1, 0, 2, -1, 4, -1, 2, 0, -1, 2, -1, 1, -1, 0, -1, -1, 1, 1, -2, 1, 2, 0, -1, 2, -1, -1, -1, 4, 0, 0, 2, -1, -1, -2, -1, 0, 1, 1, 0, 0, -1, -2, 0, -2, -1, -1, 2, -1, 2, 0, 4, -1, -1, 2, 0, 1, 1, 0, -1, -1, 1, 1, -2, 2, -1, 1, 1, -1, 0, 1, 0, 0, -1, 6, -1, 0, -1, 1, 0, 1, 0, -2, 0, -1, 2, 1, 2, 0, -1, 2, -1, -1, -1, 2, -1, -1, 4, 0, 0, -2, 0, 0, 1, 1, -2, 0, 1, -2, 0, -2, -1, -1, 2, -1, 2, -1, 2, 0, 0, 4, -1, 1, 0, 0, -1, -1, 0, 1, -1, 1, -1, 0, 2, 0, -1, 1, -1, -1, 0, -1, 0, -1, 4, 0, 2, 1, 0, 1, 1, -2, 0, -1, -2, 0, 1, -2, 0, 1, 1, -2, 1, 1, -2, 1, 0, 4, 1, 0, -1, -1, 1, 0, 0, 1, -1, 0, 2, -2, 1, 1, -1, -1, 1, 0, 0, 0, 2, 1, 6, 2, 1, 0, -2, 0, 2, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 4, 1, 0, 1, -1, 0, 2, 0, 2, 1, 1, -1, 0, -1, 1, -1, 0, 1, -1, 0, -1, 1, 1, 4, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, -2, 1, -1, 1, -1, 0, 0, 1, 4, 0, -1, 0, -1, -2, 0, 1, 0, -1, 0, 1, 0, 1, 0, -2, 0, 1, 1, -2, 1, 0, 0, 6, -1, -3, -1, 1, 0, -2, 0, 1, -1, 1, 0, 1, -1, 0, 1, -2, 0, 0, -1, 0, -1, -1, 4, -1, 2, 0, 2, 1, -1, 0, 0, -2, -1, -2, 2, 1, -1, 0, 0, 2, 0, 1, 0, -3, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 0, 1, -1, -1, -2, 0, -1, -2, 0, -1, 1, 2, 1, -2, 2, -1, 2, -2, 1, 4, 0, -2, 1, 2, 1, -2, -1, 0, -2, -1, 1, 1, -1, 0, 2, 1, 1, -2, -1, 0, -2, 0, 4, 1, -1, -1, 1, 1, 2, 0, 1, 1, 1, 1, -1, -1, 0, 1, -1, 1, -2, 2, -1, -2, 1, 4, -1, -2, -1, 2, 1, 1, 2, 1, 0, -1, 0, -1, -1, -1, -1, 2, 0, 1, 0, 1, -1, -1, 4, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, 1, -1, 0, 1, 0, 1, 0, 1, 2, -1, -2, 0, 4, 0, -2, -1, -1, -2, 0, 0, 1, 0, 1, 1, 1, 0, -2, 0, 0, -1, 1, 1, -1, 0, 0, 4, -1, 1, -1, -1, 0, 1, 2, -1, -1, 2, 2, 0, -1, 0, 1, -1, -2, 1, 2, 0, -2, -1, 4, 2, 0, 2, 0, -1, -1, 1, 0, -2, -1, -1, 2, 1, 1, -2, -1, 2, 1, 0, -1, 1, 2, 4, 0, 1, 0, 1, 1, -1, 0, -1, 1, -2, 1, -1, 2, 0, 0, 0, 1, 1, -1, -1, 0, 0, 4, 0, -1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, -2, 1, 2, 0, -2, -1, 2, 1, 0, 4, 0, 0, -2, 1, 0, -2, -1, -1, 2, 0, 1, -2, -1, 1, 1, -1, 0, 0, 0, 0, -1, 0, 4, 0, 0, -1, -2, 0, 1, -1, 0, -2, 0, 0, 1, 1, 0, 1, 0, 1, -1, 1, 1, 0, 0, 4, 0, -1, 0, 1, 0, 1, 0, -1, 1, -1, 1, 1, -1, 0, 1, 2, -1, 1, 0, -2, 0, 0, 4, -2, 0, 1, 2, -1, -1, 0, 1, 1, -1, -1, 0, -1, 0, -1, 1, -1, -1, 1, -1, -1, -2, 4, 0, -1, -2, 1, 1, 1, 0, 2, 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, -1, 0, 0, 2, 0, 1, 2, 0, -1, -1, 1, 2, -2, -1, 0, -2, 0, 1, 1, -1, 0, 4, 1, 1, -2, 0, 0, -2, 1, 1, -1, 0, 1, 2, -1, 1, 0, -1, 1, 0, 2, -2, -1, 1, 4, -1, -1, -1, 1, 2, 1, -1, -1, 1, 0, 0, -1, -2, 1, -1, -1, 1, -1, 1, 0, 1, -1, 4, -1, 1, -1, -1, -2, 1, 2, 0, -2, -1, 2, 1, 0, 2, 0, 0, -1, 1, 0, -2, -1, -1, 4, 1, 1, 2, -1, -2, 0, 1, 0, 0, 1, -1, 0, 0, -2, -1, 0, 1, 2, 0, -1, 1, 1, 6, -1, -2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 2, -1, 1, -2, -1, -1, 2, 0, -1, -2, 0, 1, 1, -1, 0, 0, -2, -1, 0, 2, 6, 2, 2, 2, 2, -1, 1, 1, 2, -1, 1, -1, 0, 2, 2, 1, -1, 1, -1, -2, 1, 0, 2, 4, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, -1, 2, 0, 0, -1, 2, 2, 1, 4, 1, 0, -2, -1, 0, 1, -1, 1, -2, 1, 1, 0, -1, 1, 0, -2, -1, -1, -1, 2, 0, 1, 6, 0, 1, 2, 2, -2, 0, 2, 1, -1, 2, 0, 2, 1, 1, 1, -1, 0, 1, 2, 0, 0, 0, 4, -1, 1, 1, 2, -1, -1, -1, -1, 1, 1, 1, -2, 1, -1, -2, 1, -2, -1, 0, -2, 1, -1, 4, 2, 1, -2, 0, 0, 2, -1, 0, -1, 1, 0, 0, 2, 1, 0, -1, 1, 0, -1, 2, 1, 2, 4, 2, -1, 0, 0, 1, -2, 0, 1, 2, 0, 0, 1, -1, 0, -1, 1, 2, 0, 2, 1, 1, 2, 4, 0, 0, 1, 1, -1, 1, 0, 2, 0, 2, 1, -1, -1, 2, 2, 1, 1, -2, 2, -2, -1, 0, 4, 0, 0, -2, 1, 1, 1, -1, -1, 1, -2, -1, 1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 4, -1, 0, -1, 0, -1, 0, 1, 1, 0, 0, -1, -1, 1, 1, 1, 2, -1, 0, 0, 1, 0, -1, 4, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, -2, -1, 0, -2, 1, -1, 2, 1, 1, -2, 0, 0, 4, -1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, -1, -1, -1, -2, -1, 1, -1, 2, -1, 4, 0, 0, -2, 0, 0, -1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 4, 1, 0, -1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, -1, 1, 0, 1, -1, 1, 0, 0, 1, 4, 0, -1, 0, 0, 0, 2, -1, 1, 0, -1, 2, 1, 1, 2, 2, -1, 0, 0, 2, -2, 0, 0, 4, 0, 0, 1, -1, 0, 0, -1, -1, 1, 1, -2, 0, 0, 0, -1, 1, 1, 0, 0, -1, -1, 0, 4, -1, 0, 0, -1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, -1, 4, 0, 0, 0, -2, -1, 0, -2, 1, -1, 2, 1, 1, -2, 0, 0, 2, -1, 0, 0, 1, 0, 0, 4, 2, 0, -1, -2, 0, -1, -1, -2, 1, -1, -1, -1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 2, 4, 0, 0, 1, -1, -1, 0, 1, 0, 0, -1, 1, -1, 1, 0, 1, 1, 2, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 1, 2, 1, 2, 2, -2, 1, -2, -1, 1, -2, -1, -2, 2, -1, 1, -1, -2, 1, 4, -1, -1, 2, 0, 2, 0, 2, -2, 2, 0, 1, 2, 1, -2, 1, 0, -2, 2, -2, -2, 2, -1, 4, 1, 0, 2, 0, 2, 1, -1, 0, -2, 0, 0, -1, 0, -1, 2, 0, 0, 0, -1, 2, -1, 1, 4, -1, 1, -1, 1, 1, -1, -1, -1, -2, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 2, 0, -1, 4, -1, 2, 0, 0, -2, 2, -1, 0, 0, 1, -2, 1, 0, 0, 2, 0, -1, 2, 0, 2, 1, -1, 4, 0, 2, 2, -1, 0, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 0, 1, 2, 0, -1, 2, 0, 4, -1, 0, 0, 2, 0, 0, 2, -1, -2, -1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, -1, 4, 2, -2, 0, -2, -1, 0, 0, 0, 0, 2, -1, 0, -1, -2, 2, 2, 1, 1, 0, 2, 0, 2, 6, -2, 0, -1, -1, 1, 1, -1, 0, 2, -2, 0, -3, -1, -2, -2, -1, -1, -2, -1, 0, -2, -2, 6, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, -1, 2, 0, 2, 0, 0, 0, 4, -1, 1, 1, 1, -2, 0, 1, -1, 2, -1, -2, -2, 0, -2, -1, -1, 0, 0, -2, -1, 1, -1, 4, 0, 0, 0, 1, 0, -2, 0, -1, 1, 2, -1, 1, 0, -2, 0, -1, 0, -1, -1, 1, 1, 0, 4, 1, 1, -1, 1, 0, -1, 1, -1, -1, 1, 2, 0, -1, 0, 1, 2, 0, 1, -1, 1, 0, 1, 4, -1, -1, -1, 0, -2, 1, -2, -1, -2, 1, -1, -1, 1, -1, -1, 0, 1, 0, 1, 0, 1, -1, 6, 0, 4, 0, 0, 0, -1, 0, -1, -2, 0, 1, -2, 0, -2, 0, -1, 0, -2, 1, -1, -1, 0, 4, -1, -1, 1, -2, 0, 1, -2, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 4, -1, 6, 0, 0, 0, 1, -1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, -2, 0, 0, 0, -1, 0, 4, 0, 1, -1, -1, -1, -2, 0, 1, 0, -1, 0, -1, -2, 1, -1, 0, -1, -2, 0, 1, 0, 0, 4, -1, 2, 2, 1, 2, 0, -1, 2, 0, 2, 0, 0, 0, 2, -1, 1, 1, 0, -2, 0, 1, -1, 4, 0, -1, -1, -2, 0, 1, 0, -1, 0, -1, -3, 2, -1, 1, -1, -2, -1, 0, 1, -1, 2, 0, 6, 0, -2, -2, -1, -1, -1, 0, 0, -2, -1, 2, -2, 2, -1, -1, 0, 1, -1, -1, 2, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 2, -2, -1, 1, -2, 2, -1, 2, -1, 2, 2, -1, 4, 1, 2, 2, 1, -1, -1, -1, -1, -1, 1, 2, -1, -2, 1, -2, 2, -2, -1, -2, -2, 0, 1, 4, -1, -1, 2, 1, -2, 1, -2, 1, 1, 0, -2, 0, -1, -1, 0, -1, -2, -1, -1, -1, 2, -1, 4, 1, 0, 0, 0, 0, 0, 0, -1, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, -1, 1, 4, -1, -2, 1, -2, 1, -2, -1, 1, 1, -1, 2, -1, 1, -1, 1, -1, -1, 0, 1, 2, 0, -1, 4, 2, -2, 1, -2, 1, 2, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, -1, 1, 0, -2, 2, 4, -1, 2, -1, 2, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -2, 0, 1, -2, -1, 4, 0, 2, -1, -1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, -1, 1, 0, -2, 1, 2, 0, 4, -1, 2, -1, 0, -1, 1, -1, 1, -1, 0, 1, 1, -1, 0, -1, -2, 0, 1, -2, -1, 2, -1, 4, 0, -2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, -1, 1, 0, -2, 1, 2, -1, 2, 0, 4, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, 1, 2, 1, 1, -1, -1, 2, 1, -1, -1, -2, 0, 6, -1, 0, -1, 0, -2, 0, -1, -1, -2, 0, -2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, -1, 4, -1, -2, 1, -1, 2, -1, -1, -1, -1, -1, -1, -2, 0, 1, 0, 0, 1, -1, 1, -1, 0, -1, 4, 0, 1, -1, 0, -1, 2, -1, 0, 1, -2, 0, -2, -1, 0, 0, 1, 1, 1, 1, -1, -2, 0, 4, 0, 2, -2, 0, 1, 2, 1, -2, 1, -1, 0, 2, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, 4, -2, 1, -3, 1, -2, -2, 2, -2, -1, 0, -1, -2, -1, 2, 1, 2, 1, -2, -1, -1, 2, -2, 6, -2, 3, 1, 4, 3, -1, 2, 0, 2, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, -2, 1, -2, 4, -2, -1, -1, -1, 2, -2, -1, 0, -1, -2, -1, 0, 0, 0, 0, -1, -1, -1, 0, -3, 3, -2, 6, -1, 3, 3, -1, -1, -2, 0, 1, 0, 0, 2, 1, 0, 0, -1, -1, 2, 1, 1, 1, -1, -1, 6, 1, 0, 2, -2, -1, 0, -1, -2, -1, 1, 1, 1, 1, -2, -1, -1, 2, -2, 4, -1, 3, 1, 6, 2, 2, -2, -1, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, 1, -2, 3, -1, 3, 0, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 0, -1, 1, 0, -1, -1, -1, -1, -1, 1, -1, 2, 1, -2, -2, 1, -1, 1, 1, 4, 2, 0, 1, -2, 2, 1, -2, 1, 0, -2, 1, 1, -1, 0, 2, -2, 0, 2, -1, 0, 2, 2, 6, 1, -1, 0, 1, -1, -2, 1, 1, -2, 1, -1, 0, 3, 3, -3, -1, 2, -3, 2, -1, 0, 1, 4, -2, -1, 1, -2, -1, 2, 1, -1, 2, -1, 1, -1, 2, 0, -1, -1, -2, -1, 0, 1, -1, -2, 4, -1, 0, 2, 0, 0, -1, 0, 0, 2, -1, -1, 0, 1, 0, 1, 0, -1, -1, -2, 0, -1, -1, 4, -2, 0, 2, -1, 0, 2, -1, -2, 0, 1, -1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, -2, 4, -1, -2, 1, 1, -2, 1, 1, -1, 0, 1, -1, 0, 0, -2, 0, 0, 1, -1, -2, 2, 0, -1, 4, 0, 0, -2, 0, 0, 0, 0, 0, -1, 1, 0, 1, 2, 0, -1, -2, -2, -1, 0, 2, -2, 0, 4, -2, 0, 2, -1, 0, 1, 0, -1, 2, 2, 0, 1, 0, -1, 1, 1, 2, 0, -1, 1, 0, -2, 4, 0, -1, 2, 0, 1, 0, 2, -1, -1, 0, -2, 0, -1, 0, 1, 1, -1, 0, 1, -2, 0, 0, 4, 0, 0, 0, 1, 1, 1, 0, 2, -1, -1, 0, -1, -2, -2, -1, 0, 2, -2, 0, 2, -1, 0, 4, -2, 0, 0, -1, -1, 2, 2, 0, 1, 0, -1, 1, 1, 2, 0, -1, 1, 0, -1, 2, 0, -2, 4, 0, 0, -1, 2, -1, -1, 0, -2, 0, 1, 1, -1, -1, 2, -2, 1, 0, 0, 0, 0, 0, 0, 4, -1, -1, 1, 0, 0, 1, -1, -1, -1, -1, 0, 1, -1, 0, -1, 0, 1, 1, 1, 0, 0, -1, 4, 2, 0, 0, 0, -1, 0, 0, 2, 0, 3, -1, -1, 1, 0, 0, 0, 0, 1, -1, -1, -1, 2, 6, 1, -2, 0, 0, -1, 2, 1, 2, 3, 2, 0, -1, 1, -1, -1, 2, 1, -1, 2, 1, 0, 1, 6, -1, -1, 1, -3, 0, -2, -2, -3, 0, 1, 1, -1, 1, 2, -1, 0, 2, -1, 0, 0, -2, -1, 6, 2, -1, 2, -2, -2, 0, -1, -1, 0, 2, 0, 0, 2, -1, 2, 2, -1, 0, 0, 0, -1, 2, 6, 1, 0, 0, 1, 2, 2, -1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1, 1, 4, -1, 1, -1, -1, -3, -2, 0, 1, -2, 2, 1, -2, -1, 1, -2, -1, 0, -1, -3, 2, 0, -1, 6, -1, 1, 0, 2, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, -2, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, 1, 2, 2, 2, 2, 2, -2, -1, 2, 2, 1, -2, -1, 2, 2, 1, -2, 1, 0, 4, 2, 1, -2, 0, 0, 0, 1, 1, 1, -1, 0, 1, -1, 2, 2, 1, 0, -2, 1, -1, 0, 2, 4, 1, -2, -1, 1, 1, -1, -1, 2, 0, 1, -1, -2, 2, 0, 0, 1, -2, 1, -1, 2, 1, 1, 4, -1, 2, 2, 2, 0, 0, -1, -1, 2, 0, 1, 0, 1, 2, 2, 0, -2, -1, 1, -2, -2, -1, 4, 0, 0, 0, 1, 1, -2, 0, 0, 1, 0, -1, -1, 0, 0, 2, 0, 1, 2, 0, -1, 2, 0, 4, 0, 0, 2, 2, -2, -1, 0, 2, 2, -1, 1, 2, 0, 1, -1, 1, 2, 0, 1, 2, 0, 0, 4, 2, -1, 0, 0, 0, 2, 0, 0, 0, -1, 1, 2, 0, -2, 0, 2, 0, 1, 2, 0, 0, 2, 4, 0, -1, -1, -1, 2, 0, 0, -1, -1, 1, 2, 0, -1, 0, 2, 1, -1, 0, 1, 2, -1, 0, 6, 4, -1, -2, 0, 4, 0, -2, 0, 2, 0, 0, -1, 2, 2, 1, -1, 0, 1, 2, 0, -1, 4, 6, -2, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, -2, 1, 2, -1, -2, -2, 0, -1, -1, -2, 6, -1, 0, -1, -1, 1, -1, -1, 0, -3, 0, 0, -1, -1, 0, -1, 0, -1, 0, -1, -2, 0, -1, 4, 0, -2, 0, 1, 0, -2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 4, -1, 0, 0, -1, 1, 2, 0, -2, 0, 2, 1, -1, 0, 1, 2, 0, 0, 4, 4, -1, -2, -1, 6, 0, -2, 0, 2, 0, 0, -1, 2, 1, -1, -2, 1, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, 4, -2, 0, 1, 0, 1, -2, 1, -2, 2, 2, 0, -1, -1, 0, -1, -2, 0, 1, 1, 0, -2, -2, 6, 2, -1, -1, -1, 3, -2, -1, 2, 0, 1, -1, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 2, 4, 0, -1, 0, 1, -2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, -1, -2, 1, 2, 1, -1, 0, 4, 1, 0, -1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, -1, -1, 1, 4, 0, -2, 0, 1, -2, -2, 0, 2, 1, 0, 0, 0, 0, -3, 0, 0, 0, 1, -1, 0, 0, 0, 4, -1, 0, -2, 1, 1, -2, 0, -1, -2, -1, -1, 0, 0, 1, -2, -1, -2, 3, 1, -1, -2, -1, 6, -1, 1, -1, -1, -1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, -2, -2, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, -2, 0, -2, 2, 2, -2, 2, -1, -2, -2, -2, -2, 2, 2, 2, 2, -2, 1, 4, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, -1, 1, 0, 0, -1, 1, 2, 1, -1, 0, 4, 2, 2, 1, 0, 0, -1, 0, 1, 0, -1, 1, 2, 2, 1, 0, 1, -2, -2, 1, -1, 1, 2, 4, 1, 1, -1, 0, -1, -1, 1, -1, -1, 1, 1, 2, 2, -1, -1, -1, -1, 0, -2, 0, 2, 1, 4, 2, 0, 0, -2, 0, 2, 0, 1, 2, 1, 1, 2, 0, -1, -1, -1, 2, -2, -1, 1, 1, 2, 4, 1, 1, 0, -1, 2, -1, 0, 2, 0, 1, 1, -1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, 4, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, -1, -2, 0, 0, 0, 0, 1, 2, 4, -2, -2, 1, -2, 0, 1, 1, 1, 1, -2, -2, -1, 0, 0, 2, -1, -1, -1, -2, 0, -1, -2, 6, 2, -1, 2, -2, -1, -1, -1, -2, 2, 2, 1, 1, 0, 2, 0, 0, -1, 0, -1, 0, -2, 2, 4, 0, 2, 0, -1, 0, -1, -1, 2, 1, 0, 1, 0, -2, -1, 1, 1, 2, 2, 0, 1, -1, 0, 4, -1, 0, 2, 0, 1, 1, -1, -2, 0, -1, 0, 2, 0, 0, -1, 0, -1, 0, -2, 2, 2, -1, 4, 0, 0, -1, -1, -1, 2, 1, 0, 1, 0, -1, 0, -1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, -1, 1, 0, -1, 0, 0, 1, -2, -1, 1, 1, 2, 2, 0, 1, -1, -1, 2, 0, 0, 4, 1, 1, 1, -1, -2, 0, -1, 0, -2, -1, 2, 1, 1, 0, 1, 1, -1, 0, 0, -1, 0, 1, 6, 1, 2, 0, 0, -4, -2, 1, -2, 1, 2, 2, 1, 1, 0, 1, -1, -1, 1, -1, -1, 1, 1, 4, 1, -1, -1, -1, -1, 1, -2, 0, 1, 2, 2, 1, 0, 1, -2, -1, 1, -1, 1, 1, 2, 1, 4, -1, -2, -2, -1, 1, 2, 0, 0, -1, 0, -1, 0, -2, 2, 2, -1, 2, 0, -1, 0, -1, -1, 4, 1, 1, 1, 0, 2, -1, 1, -1, -1, 0, 0, -2, 2, 1, -2, 1, -1, -2, 0, -1, -2, 1, 6, 0, -1, 0, 2, 1, -2, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, -4, -1, -2, 1, 0, 6, 2, -1, 2, 2, -2, -1, -1, -1, 1, 0, 1, 1, -1, 1, 0, -1, -2, -1, -1, 1, -1, 2, 4, -1, -2, 1, 1, 0, 2, 1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 1, 1, 2, 1, 1, -1, -1, -1, 1, -1, -2, 1, -1, -2, 1, -1, 2, 2, -1, 4, 2, -1, -1, 1, -1, 1, 1, 2, 0, 2, 1, 2, 0, 1, -1, 0, 1, -1, 0, -1, -2, 2, 4, 1, -2, -1, -2, -1, -1, 1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -2, -1, -1, 1, 4, 0, -2, -1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, -1, -2, 0, 4, 1, 2, 2, 0, 0, -1, -1, 0, 0, -1, 1, 0, -1, 0, 0, 1, 2, 1, 1, -1, -2, 1, 4, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -1, -2, -1, 2, 2, 4, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, -1, 0, 2, 2, 1, 4, 1, 1, 0, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 2, 1, 1, -1, 0, 0, 0, 0, 1, 4, 0, 0, 0, 2, 1, 1, 2, -1, 1, 2, -2, -1, 1, -1, 2, 1, 0, 0, 0, 0, 1, 0, 4, -1, 0, 1, 2, 1, 0, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, -1, 1, -1, 0, 0, -1, 4, 2, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, -1, 2, 1, -1, -1, 1, -1, 1, 0, 0, 2, 4, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 4, 0, 1, 2, -1, 0, 2, -2, 0, 1, -1, 2, 1, 0, 0, 0, 0, 1, 1, 2, -1, 0, 0, 4, 1, 0, 0, 0, 1, -1, 0, 0, -2, 0, 0, 1, -1, 0, 0, -1, 1, 1, 1, 0, 1, 1, 6, 0, 1, 4, 0, 0, -4, 0, 1, 1, -1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 4, -2, 0, 2, -2, 0, 1, -1, -1, 1, 0, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, 1, -2, 4, 1, -1, 1, -1, 0, -2, 0, 0, 1, -1, 0, 0, -1, 1, 1, 1, 0, 0, 0, 4, 0, 1, 6, 0, -1, -4, 0, 1, 1, -1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, -1, 0, 4, -2, -1, 1, -1, -1, 1, 0, 0, 0, 0, -1, -2, -1, 0, 0, -2, -1, 0, -2, 1, -1, -2, 4, 0, -1, 2, 0, 0, -1, 1, 0, 0, 1, -1, -1, -1, 0, 0, 0, -4, 0, -1, -4, -1, 0, 6, 0, 2, -1, -2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 1, 2, -2, 1, 2, -2, -1, 1, -1, 1, 2, 1, -1, -2, 1, 1, -2, -1, 1, 4, -1, -1, 2, 0, 1, 2, 2, -2, 1, 2, -2, 2, 2, 2, -2, -1, 2, 2, -1, -2, 2, -1, 4, 1, 0, 2, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 4, -1, 1, -1, -1, 1, -1, -2, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 2, 0, -1, 4, -1, -1, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -1, 2, 2, 0, 0, 2, 0, 2, 1, -1, 4, 0, 0, 2, -2, -1, 1, 0, 1, 2, 0, -1, 0, 0, 0, -2, -1, -2, 1, -1, -1, -1, 0, 4, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, -1, 1, 2, 0, -1, 2, 0, 0, 4, 0, 0, 1, 1, -1, 2, 2, 2, -2, 0, 2, 2, 0, -2, 2, 2, 1, 1, 0, 2, 0, 0, 6, -4, 0, 3, -2, 0, 2, 0, 0, -2, 0, -1, -3, 0, -2, -2, -1, -1, 0, -2, -1, 0, -4, 6, -1, -2, 2, -2, -3, -1, 1, 2, -1, 0, 1, 2, -1, 1, 0, -2, 0, -1, 1, 1, 0, -1, 4, 1, -1, 1, 0, 1, -1, 0, 1, 0, 1, -1, 1, 2, 0, -1, 0, 1, 0, 1, 3, -2, 1, 4, -2, 2, 1, 1, -2, -1, 1, 0, -1, -2, -1, -2, 0, 1, -2, 0, 0, -1, -2, 2, -1, -2, 4, -1, 0, -1, 0, 2, -1, -1, 1, 1, 1, 2, 0, -1, 0, 1, 1, 2, 0, -2, 1, 2, -1, 6, 2, 1, -4, 0, 1, 2, 0, -3, 2, 2, 1, 1, 0, 2, 1, 2, 2, -3, 0, 1, 0, 2, 6, 1, -3, -1, 1, 1, 0, -2, 1, 2, 0, -1, 2, 0, 0, 2, 0, -1, 1, 1, -1, 1, 1, 4, -2, 0, 2, 2, 1, -2, -1, -2, 0, 1, 0, -1, 0, -2, 0, 1, -1, -2, 0, -4, -3, -2, 6, 0, -1, -2, 0, 3, -2, -1, 0, -1, -1, 0, 1, 0, -2, 2, 0, -1, 2, 0, -1, 0, 0, 4, 0, 0, 2, 0, 1, 2, 0, -1, 2, 0, 0, 2, 0, -1, 1, 1, -1, 1, 1, 2, -1, 0, 4, 2, 0, -2, 1, 2, 0, -1, 2, 0, 0, 2, -1, 0, 0, 0, -1, 2, 1, 2, -2, 0, 2, 4, 0, -2, -2, -1, 0, -1, 0, -2, 1, 0, -3, 1, 1, -1, 1, 0, 0, 1, 0, 2, 0, 0, 6, -1, -1, -2, 0, 1, 0, -1, -1, -2, 0, 2, -1, -2, 1, -3, -2, -2, 3, 0, -2, -2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, -1, 2, 2, 1, 2, 2, -2, 2, -2, 1, -2, -1, -2, 2, 2, -2, 2, 2, 1, 4, -1, -1, -2, 0, 2, 2, 0, 0, -2, 0, -2, 2, -2, 1, 1, 2, 2, -2, 0, 2, 2, -1, 4, 1, 0, 2, 1, 0, 2, 2, -1, 2, -1, 0, -1, 0, -1, 1, 1, -1, 2, 1, 2, -1, 1, 4, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -2, -1, 1, 1, -1, 1, 1, -1, -2, 0, 1, 4, -1, 0, -2, 0, 0, 1, -1, 2, -1, 0, 0, -1, 0, -2, 1, 0, 0, 2, 0, 2, 1, -1, 4, 2, 0, 2, 2, -1, 1, -2, 1, 0, 0, -2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 6, 0, 2, 3, -2, 0, -3, 2, -1, 1, 0, 3, 3, -3, 1, 1, 1, 2, 0, -1, -2, 0, 0, 4, -1, 0, 0, 0, -2, 2, 0, 1, 0, 0, 2, -1, 0, 1, 2, 0, 2, 1, 0, 2, 2, -1, 4, 2, -2, 2, -1, 0, -2, 0, -2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 3, 0, 2, 4, -1, 1, -1, 1, -1, 0, -1, 2, 1, -1, 1, 0, -2, -2, -1, -1, 1, -1, -2, 0, -2, -1, 4, -2, 1, 0, 3, 0, 0, -3, -2, 1, -2, -1, 2, 0, 2, 1, -1, 1, 0, 0, 2, 1, -2, 4, -1, -1, -1, 0, 0, 1, 0, 0, 2, 0, -2, -2, -1, -1, 2, -2, -3, -2, -1, -1, 1, -1, 6, -2, 0, 0, 0, -1, -4, 3, 0, -2, 1, 2, 0, -1, -1, 1, 2, 2, 0, 1, 0, -1, -2, 4, -1, 1, 0, 1, 2, -1, 0, 1, -2, -2, -1, -1, 0, 0, -1, 0, -2, -1, 3, -1, 0, -1, 6, 0, 0, -4, -1, 1, -2, -2, -1, 1, 0, -2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 4, 1, 0, 0, 1, 0, -1, -2, 1, -1, -1, -1, -2, 0, 0, -2, -1, 0, 0, 0, 0, 0, 1, 6, 1, 0, -1, -1, -1, 2, 2, 1, 1, 0, 0, 3, 0, 2, 2, -3, 1, -1, 1, -4, 0, 1, 6, 1, -2, 1, 1, 2, 2, 1, 1, -2, 2, 3, 2, 1, 1, -2, 0, -4, 2, -1, 0, 0, 1, 6, -2, 1, 2, -2, -2, -1, -1, 1, 0, -3, -1, 0, -1, 1, 0, 3, -1, 1, 1, -1, -2, -2, 6, 0, -2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, -2, 2, 0, 0, -2, 0, -1, 1, 1, 0, 4, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, -1, 0, -2, 1, -2, -1, -1, 1, 2, -2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, -2, 0, 0, 0, -1, -1, -2, 1, 0, 0, -2, 0, -2, 0, 0, -2, 2, 2, -1, 4, 1, 2, 2, 1, -1, -1, 2, 2, 0, -2, -1, 1, 1, -1, 2, 1, -1, 2, -2, -2, 0, 1, 4, -1, -1, 2, 1, -2, 0, 1, 1, -2, -2, -1, 0, -2, 2, -1, -2, 0, -1, -2, -1, 2, -1, 4, 1, 0, 0, 0, 2, 0, 1, -1, 0, 0, 1, 0, 1, 0, 0, 2, 0, -1, -2, 2, -1, 1, 4, -1, -2, 1, 1, 1, 0, -1, 1, 2, 2, 1, 1, 2, 1, 1, -1, -1, 0, 1, 2, 0, -1, 4, 2, -2, 0, 1, 1, -2, -2, -1, 0, -2, 0, -1, -2, 0, -1, -2, 0, -1, 1, 0, -2, 2, 4, -1, 0, -1, 2, -1, -1, -2, 0, -1, 0, -2, -1, 0, 1, -1, 0, -1, -2, 0, 1, -2, -1, 4, -1, -2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, -1, 2, 0, 2, 1, 0, 0, -1, 4, 2, 1, -2, 0, 0, 0, 0, 0, 1, 0, 2, 0, -2, -1, 2, 1, 0, 1, 1, -1, -2, 2, 6, -1, -3, 0, -1, 0, 1, -1, 2, -1, 2, -1, 0, -2, 0, 1, 1, 0, 1, 2, 0, 1, -1, 6, -1, 0, -1, 0, -2, 1, -2, 1, 1, 0, -3, 1, -2, -2, -1, -1, -2, -1, 2, -2, -3, -1, 6, 2, 1, -2, 0, 0, -1, 2, -2, 1, 2, 0, -1, -2, 0, 1, -2, -1, 2, 0, 0, 0, 2, 4, 0, 0, 1, -1, 0, 2, 0, 2, 2, 0, 1, -1, 0, 2, -1, -2, 2, 0, -1, -1, 1, 0, 4, 0, 0, 1, 1, 1, 0, 0, -1, -2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 2, 0, -1, 1, -1, -1, 0, -1, -2, 0, 1, -2, -1, 1, 0, 1, -2, 0, 1, 0, 0, 4, -2, 2, 1, 0, 1, 2, -2, 2, 2, 1, 1, 0, 0, 0, 0, -1, 1, 0, -1, 1, 2, -2, 6, -1, -1, 1, -1, -2, 0, 1, -1, 0, 2, -1, -2, 0, 1, 2, -2, -1, 0, 1, 0, 2, -1, 4, 1, 0, 0, 1, 0, -1, -2, 0, 1, -2, -1, 2, 0, -1, 1, 2, 2, 1, -1, 1, -1, 1, 4, 0, 1, 1, -2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, -2, 0, 0, 1, 0, 1, 0, 0, 4, -1, -1, 2, -2, -1, 0, -1, -1, 1, 2, 0, -1, 0, 1, 2, 0, -1, 1, -1, 0, 1, -1, 6, 1, 2, -2, -2, -1, -1, -2, -1, 1, -2, 0, -3, 2, 2, -1, -1, 2, -2, 1, 1, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 0, 2, -2, -2, 0, -1, 0, 0, -2, -1, 1, 0, -2, 0, -1, -1, -2, 1, -1, -2, 4, -1, -1, -1, 2, 1, 0, 1, 1, -1, 1, 1, 0, 1, 1, 0, 1, 0, 1, -1, 1, 1, -1, 4, 2, -1, -2, 1, 0, 0, -1, -1, 1, -1, -1, 1, -2, 0, 0, -2, 1, 0, -2, 0, -1, 2, 6, 1, 1, -1, 2, -1, -3, -2, -1, -2, 0, 1, -3, 2, -2, 1, -1, 1, 0, 2, -1, -1, 1, 6, -1, -4, -1, 0, 0, 1, -4, 1, 0, -1, 0, 0, 0, 1, -4, 0, 1, -2, 2, -2, 1, -1, 6, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, 2, 0, 2, 0, -1, 2, -2, 1, 1, -1, -4, 0, 6, -1, -1, -1, 0, 4, -1, 0, 1, 1, 0, 0, -1, 4, 0, -1, 0, 0, 0, 2, -1, 1, -1, 4, -1, 0, -2, -1, -1, 0, 0, -2, 0, -1, 1, -1, 1, 1, -1, 1, 0, -1, 0, 1, -1, -1, 4, 1, 1, 0, 1, -2, -1, 0, 0, 2, -1, 0, -2, 0, 0, 1, -1, -3, 0, -1, -1, 0, 1, 4, 0, -1, 2, -1, 0, 2, -2, 2, -1, -1, -1, 1, 0, -1, -1, -2, 1, -1, 0, -2, 1, 0, 4, 0, 1, -1, -1, 2, 0, 1, 0, 0, -1, -1, -2, 1, 1, -1, -4, 0, 4, -1, 0, -1, 0, 6, -1, 0, 1, 1, 1, 0, -1, 4, 0, -1, -1, 1, -1, -2, 1, -1, -1, -1, 1, 2, 1, -1, 4, 0, 0, 3, -2, 2, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0, 4, 1, 0, 0, -2, 1, 0, 2, 0, 0, 1, 1, 1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 1, 4, 1, 0, -1, 0, 1, 1, 0, -2, 1, -2, -3, 0, -1, 1, -2, 0, 2, 2, 1, 3, 0, 1, 6, -2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, -2, 0, 1, -2, 0, 0, -2, 4, -1, 0, 0, 0, 0, -1, 1, 0, -2, 0, 0, 0, -1, 2, 2, 1, 0, 2, -2, -1, 1, -1, 4, -1, 0, -2, 0, -1, 0, -2, 1, 1, 2, -1, 1, -1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 4, -1, 1, 2, -2, 1, 1, -1, -4, 0, 4, -1, 0, -1, 0, 4, -1, 0, 1, 1, 0, 0, -1, 6, 1, -1, 1, -1, 0, 1, 0, -1, 0, 1, -2, -1, -1, 0, -1, 2, 1, 0, 0, -2, 1, 1, 4, 0, -1, 1, -2, 0, 1, 2, -1, 1, 0, 1, -1, -1, 0, 0, 0, 1, 0, 0, 2, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 1, 0, 1, 1, -1, 0, -1, 1, -1, 2, 2, 0, 1, 1, 1, -1, -1, 2, 0, 1, 4, 1, -1, -1, 1, 1, 1, 0, -2, 0, 1, 2, -1, 0, -1, 2, 1, -2, -1, -1, 0, 0, 1, 4, -1, 0, 0, -1, 2, -1, -1, 1, 2, 2, -2, -1, 0, 1, 0, 1, 0, -2, -1, 1, -1, -1, 4, -1, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, -1, 0, 1, -1, -1, 0, -1, 0, -1, 0, -1, 4, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, -1, 4, 1, 0, 1, -2, 1, 0, 2, 1, 1, -2, 0, 2, -2, -2, -1, 0, 1, 1, -1, 0, -1, 1, 4, -1, 2, -2, -1, -1, -1, 0, 2, 0, 1, 0, -2, 0, 2, 0, -1, 1, 2, 0, -1, 0, -1, 4, 0, 0, 0, 2, 1, -1, -1, -1, 0, 1, 0, -1, -2, -1, 0, 0, -1, -1, -1, 1, 2, 0, 4, -1, 0, -1, -1, 1, 2, 0, -1, 0, -1, 0, 1, 0, -1, -2, -1, 0, 1, -2, -2, 0, -1, 4, -1, 0, -2, 1, -1, 1, -1, -1, 2, 1, 1, 1, 1, 0, 1, 1, -1, 1, -1, 0, 0, -1, 4, 0, 3, -1, 0, 0, 0, 0, 0, 0, -2, -2, -1, 1, 2, 0, -1, 0, -1, 2, -1, 0, 0, 4, 0, -1, -1, -1, 0, 1, 0, -1, -2, -1, 2, 2, 2, 1, -1, 2, -1, 1, -1, -2, 3, 0, 6, -1, -1, -1, 1, 1, -1, -1, -2, -1, 2, -1, -2, 0, 1, 1, 0, -1, 1, 1, -1, -1, -1, 6, 1, 1, -2, 2, 0, -2, 3, 1, 0, 0, -1, -1, -1, 1, 2, -1, 2, -1, 0, -1, -1, 1, 4, 0, -1, -1, -1, 0, 1, 0, 1, -1, 0, -1, 2, -2, 0, -1, 0, 1, 0, -1, -1, 1, 0, 4, 1, -1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, -1, -1, 0, 0, 1, -2, -1, 1, 4, 0, -1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, -1, 0, 1, 1, 2, -1, -1, 0, 4, -1, -2, 0, 0, -1, -2, 1, -1, 1, -2, -2, 0, -1, 2, 0, 0, -1, 0, -1, 1, -1, -1, 4, 1, 0, 0, -1, -1, 0, -1, 0, -2, 0, -1, 0, 1, 0, -1, -1, -2, 0, 1, 0, -2, 1, 4, 1, 0, 2, -1, -2, 0, 1, -1, 2, -2, 1, 1, -2, -2, -2, 3, 1, 2, 0, 0, 0, 1, 6, 1, 0, 0, -1, -1, 2, 0, 0, -1, 0, 1, -2, -1, -1, 1, 0, 1, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 1, -1, -2, 1, -1, -1, -1, -2, -2, 0, -2, 0, -2, -2, 0, -2, 1, -1, 1, 4, 1, 0, 2, 1, 0, 2, 1, 1, -2, 0, -1, 0, 0, 1, 1, -1, -1, 1, 2, 1, -2, 1, 4, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, -1, 2, 1, 2, 1, -1, 1, -1, 2, -1, 0, 1, 4, 1, 2, 2, 1, 2, 2, 0, -1, 1, -1, 1, -1, 1, 2, -2, 2, 1, 2, 1, 2, 0, 1, 4, 0, -1, 2, 1, 1, 0, -2, -1, 1, -1, -1, -1, -1, -2, 1, 2, 2, -1, 1, 0, 2, 0, 4, 1, 1, 2, 2, -1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, -2, 0, 2, 2, -1, 1, 4, -1, 1, 1, 0, 1, 2, -2, 2, 1, 2, 1, -1, 1, -1, 1, 1, 2, 0, 1, 2, 1, -1, 4, 0, 1, 0, -2, -1, 1, -1, -1, 1, 1, -2, 1, 2, 2, -1, 1, 0, 2, 1, 2, 1, 0, 4, 2, -1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, -1, 1, 1, 2, 1, 2, 1, 1, 2, 4, 1, 0, 1, -1, 0, -1, 2, 1, 0, 2, 0, 2, -1, -2, 1, 0, 0, -1, 0, 0, -1, 1, 6, -1, 1, 1, 0, -2, 1, 2, -1, -1, -3, 2, -2, 0, 2, -1, -2, 0, 1, -2, 0, 0, -1, 6, 2, -1, 2, 2, 1, 1, 3, 1, -2, 0, -2, -1, 1, 1, -1, 1, 2, -1, 1, 1, 1, 2, 4, -1, 1, 1, 2, 2, 1, 1, -1, 0, 0, 0, -1, -1, 1, 0, -2, 1, 0, -1, 1, -1, -1, 4, -1, -1, 0, 0, -1, 0, 0, 0, -2, 0, 2, 1, -1, 0, 2, -1, 0, 0, 0, 2, 1, -1, 4, 0, 1, 1, -1, 1, 0, 1, 0, 1, 1, -1, -1, 0, 1, -1, 0, -1, -2, 2, 1, -1, 0, 4, 0, -1, 1, 0, 0, -1, -2, 1, 2, 1, -1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 6, 3, -1, 1, 0, 0, -2, -1, 1, 2, -1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, -1, 3, 6, 0, 1, 0, 1, 0, -1, -1, -2, -2, 0, -1, -2, 0, 0, -1, 3, 1, -1, -1, 1, -1, 0, 6, 0, -2, -2, -2, 1, 1, 2, 1, 2, 1, 1, 2, 2, -1, 1, 1, 0, 1, 0, 1, 1, 0, 4, 1, 2, 1, 2, -1, 1, 2, 1, -1, 2, 1, 0, -3, -2, -1, 0, 0, 0, 0, 0, -2, 1, 6, -1, -1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, -1, 0, 1, -2, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, -2, -2, 1, -2, -1, -1, -2, 0, 0, 1, -2, 2, 1, -1, -2, 0, 0, 1, 4, -1, -1, 2, 0, 0, 2, 0, 1, -2, -2, 0, 1, 2, 0, 2, 0, -1, 1, 1, 1, -1, -1, 4, 2, -1, 2, -1, -1, 2, -1, 2, 2, 1, 1, -2, 1, 0, 1, -1, -1, 1, 1, -2, -1, 2, 4, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, -2, 2, -2, -1, 1, 1, 1, 1, 1, 2, -1, 0, 4, -1, -1, 2, 0, 1, 0, -2, -1, 0, 0, -1, 0, 0, -1, 1, 1, 0, -2, 0, 2, 2, -1, 4, 0, 0, 2, 1, 1, 2, 0, 0, -1, 1, -1, -1, 1, 1, 1, 0, -2, 0, -1, 1, -1, 0, 4, -1, 0, 1, 0, 0, 0, 0, 0, 2, -1, -1, 1, 1, 0, 0, 1, 2, -1, 0, 2, 0, -1, 4, -1, 1, 0, -2, 0, 1, 0, -1, 0, 0, -1, 1, 1, 1, -2, 0, 2, 2, 0, 2, 0, -1, 4, 1, 1, 2, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 4, 1, 0, 0, 0, -1, 1, 0, -2, 2, 2, 1, 0, -1, -2, 2, 2, 0, 1, 0, 0, 1, 1, 6, 0, 0, 0, -4, 0, -2, 1, -1, -1, 2, 1, -2, -2, 2, 2, -2, 2, 0, -2, 2, 0, 0, 6, 2, -1, 0, 1, 0, -1, 3, 1, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, 0, 2, 4, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, -1, 1, 4, -1, 1, 0, 1, -1, 0, 1, 2, 1, 2, -2, -2, 0, -1, 0, 0, -1, -1, -4, 0, 1, -1, 6, 0, 1, -1, 0, 1, -1, 0, -2, 0, 1, 2, -1, 1, 2, -1, 1, 1, 0, 1, 1, 1, 0, 4, 0, -1, 1, 1, 0, 1, 2, 2, 0, -2, 0, -1, -1, 0, -1, 0, -2, 0, 0, 0, 1, 0, 6, 1, -1, -1, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, -2, 1, -1, 0, 1, -1, -1, 1, 4, -2, -2, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 2, -1, 3, 1, -1, 0, 1, -1, -2, 6, 2, -1, -1, -2, 1, -1, 1, 1, 1, 1, 1, 1, 2, -1, 1, 0, 0, 1, 1, -1, -2, 2, 4, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, -1, 0, 0, 1, -1, 0, 4, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, -2, 0, 1, -2, -1, -2, -1, -1, -2, -2, -2, -1, -1, 2, 2, 2, 2, 1, 4, 0, 1, 0, -1, 0, -1, 0, 1, -1, 1, -2, -1, -1, 1, -1, 1, 2, 1, 2, 0, -1, 0, 4, 2, 2, 1, 0, -2, -1, 2, 1, 2, 0, 1, 2, 2, -1, 2, -2, -2, -2, 1, -1, 1, 2, 4, 1, 1, -1, -2, 0, 1, 1, 1, -1, 1, 1, 2, -1, 1, 0, -1, 0, 0, -2, 0, 2, 1, 4, 2, 0, -1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, -1, -1, -1, -1, -2, -1, 1, 1, 2, 4, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, -1, -2, 0, 0, 0, -1, 0, 1, 4, 2, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, -1, 1, 1, -1, -2, -2, -1, 0, 2, 4, -1, -2, 0, -2, 0, 0, -1, -2, 0, -2, 1, 1, 0, 0, -2, 0, -1, 0, 1, 2, -1, -1, 6, 1, 1, 1, -1, 1, 0, 1, 0, 1, 1, 0, 0, -2, -1, 1, 2, 1, 1, 0, 0, -2, 1, 4, 1, 2, 0, 0, 2, 2, -1, 2, -1, -2, -1, 1, -2, -1, 1, 1, 2, 2, 0, 0, 1, 1, 4, 0, 0, 2, 0, 1, 0, 0, -2, 0, -1, -2, -1, 1, 2, 1, 1, 0, 0, -2, 1, 2, 0, 4, 0, 1, 1, 2, -1, 2, -1, -2, -1, 1, -1, -2, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 1, -1, 2, 0, -2, -1, -1, 0, -2, -1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 4, 1, 1, 0, 0, -2, 0, -1, -2, -2, -1, 2, 1, 1, 0, 1, -1, 0, 2, 0, 1, 1, 1, 6, 1, 0, 2, -1, -4, -3, 2, -2, 1, 2, 2, 1, 1, 0, -2, 1, 2, 1, 2, -1, 1, 1, 4, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 0, -1, 0, 0, -1, 0, -1, 2, 0, 0, -1, 4, -1, -1, 0, 0, -1, -1, 1, 2, 1, 1, 0, 0, -2, 1, 2, 0, 2, 0, 0, 2, 2, -1, 4, -1, -1, -1, 1, 2, 2, -2, 0, -1, 0, 1, 1, 1, -1, -2, -1, -2, -2, -1, -1, -1, -1, 6, 1, 2, 1, 2, 1, -2, -1, -1, 0, -1, 1, 0, -2, 0, -2, -1, 0, -4, -1, 0, -1, 1, 6, 3, -2, 2, 2, -2, 0, -1, -1, -1, 0, 0, -1, -1, -1, -1, -1, -3, -1, 0, -1, 2, 3, 4, -1, 2, 0, 1, 0, -1, -2, 1, 0, -2, 1, -2, 1, 0, -2, 2, -1, -1, 1, 1, -2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -2, -1, -2, -2, -1, -1, -2, -1, -2, -1, -2, 2, 2, -1, -1, -1, -2, -1, 2, -1, 4, -1, 2, 0, 0, 1, -1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, -2, -2, -1, 4, 1, 1, 2, 0, 0, 1, 0, -1, 0, -1, 2, -2, -2, 1, -1, -1, 2, -1, -1, -2, 2, 1, 6, -1, 2, 2, 0, 1, 0, 1, 0, 1, 2, -3, -2, 2, 0, -1, -1, -1, -3, -1, 0, 1, -1, 4, 1, 1, 0, -1, 0, -1, 0, -1, 1, 0, -1, -1, 1, 1, 2, 1, 0, -2, 0, 2, 2, 1, 4, 0, 1, 0, 0, -1, 0, -1, 1, -2, -1, 1, 1, -1, 0, 0, -1, -2, 1, 0, 2, 1, 0, 4, 1, 0, 1, 2, 1, 2, 2, -1, -1, 0, 1, 1, 1, 1, -2, -1, -1, 0, 0, 0, 1, 1, 4, 1, 1, 1, 1, 1, 1, 0, -1, 1, 0, 1, 0, 0, 1, -1, 0, 1, 1, -1, 0, 0, 1, 4, 0, 1, 0, 1, 0, -1, 0, 1, -1, 1, 1, -1, 1, -2, 1, 0, 0, 0, 0, 1, 1, 0, 4, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, -1, -1, 1, -1, 1, -1, -1, 2, 1, 1, 2, 4, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, -2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 4, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, -1, 1, -1, 1, -1, -1, 2, 1, 1, 1, 2, 2, 4, 0, 0, 0, 0, 1, 1, 0, 1, -1, -2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 4, -2, -2, 2, -1, 0, 1, -1, -2, 2, 0, -2, -3, 0, -2, -1, 0, -1, 0, 0, 0, 0, -2, 4, 2, -2, 0, 1, -1, 1, 2, 2, 0, -2, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, -2, 2, 6, 0, 1, 0, -3, 1, 2, -1, 0, 1, 2, -1, 1, 0, 1, 1, 1, 0, 1, 0, 2, -2, 0, 4, -1, -1, -1, -1, -1, -1, 1, -1, 0, 1, 1, 1, 0, -1, 1, 1, 1, 1, -1, 0, 1, -1, 4, 1, 0, 2, 0, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, -1, 1, 4, 1, 1, 1, -2, 0, 2, -1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, -3, -1, 0, 1, 6, 1, -1, -1, 1, -1, -1, 1, 0, 1, 0, -1, 1, 1, 1, 1, -1, 1, 1, -1, 2, 1, 1, 4, -1, 2, -2, -1, -3, 0, -1, -2, 1, 1, -1, 0, 0, -1, -2, 2, 2, -1, 0, 1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 1, 2, 0, -1, 2, -2, 0, -1, 1, -1, -1, 0, -1, 0, 2, 0, -1, 0, 1, 4, -1, 1, -1, 0, 1, -1, 1, 1, 1, -1, 0, -1, 0, 1, -2, -1, 2, 1, 1, -1, 2, -1, 4, -2, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, 1, -1, 1, -2, 4, -1, 0, -1, -1, 0, 0, -1, -1, -1, -1, 1, 2, -1, 1, 1, -1, 0, -1, 1, -1, 0, -1, 4, -1, 1, -1, 2, -2, 1, -1, 1, -1, -1, -1, 2, -1, -1, 1, -1, -1, 2, 0, 2, 0, -1, 4, -1, -1, 1, -1, -1, -1, 0, -1, 0, 1, -1, 1, 1, -1, -1, 0, 0, 1, 0, -1, 1, -1, 4, 0, 1, 1, 2, -1, -1, -1, 1, 0, 0, -2, -1, 2, 1, -1, -1, -1, 0, -1, -1, -1, 0, 4, -2, 2, -1, 2, 1, 2, -1, -1, 0, 1, -1, -1, 0, 2, 2, 1, 0, 0, 2, 1, 1, -2, 6, 0, 0, -1, 0, -1, 0, -1, 0, 0, 2, 0, 1, 0, -2, 1, -1, 0, -2, -1, 1, 2, 0, 6, -1, 1, 0, 1, 0, -1, 0, 1, 1, -1, 2, 1, 0, 1, 0, -1, 1, -1, 2, -1, 0, -1, 4, -1, 0, 0, 1, 0, 0, -2, -1, 2, 0, -1, -1, -1, 0, -1, -1, -1, -1, 2, -1, 1, -1, 4, 0, 2, -1, -1, 0, 0, -1, -1, 1, 2, 1, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 4, 0, -1, -1, 1, 0, 1, 0, -1, 1, -1, -1, 0, -1, -1, -1, -1, 2, -1, 1, 0, 2, 0, 4, -1, -1, 0, 1, -1, -1, 1, 2, -1, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -1, -1, 4, 0, -1, -1, 1, 1, 0, 0, 0, 1, -1, 2, -1, 1, 0, -1, -1, -1, 0, -1, -1, -1, 0, 4, 0, 0, -1, 0, 0, -1, -1, -2, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 4, 0, -2, 0, 0, 0, 0, -1, 0, 1, -1, 1, -2, 1, 0, 1, -2, 0, 0, 1, -1, 0, 0, 4, 1, -2, 0, 1, 2, 2, 1, 1, -1, 1, -1, -1, 2, 1, -1, -1, 1, -1, 1, -1, -2, 1, 6, -1, 0, 1, 0, 1, 0, -1, 1, -1, 2, -1, 0, -1, 2, -1, 0, -1, 1, 0, 0, -2, -1, 4, 1, -1, -1, 1, -1, 0, -1, -1, 1, 0, 1, 2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 1, 4, 0, 0, -1, 1, -1, -1, 0, -1, 2, 0, 1, -1, 2, 1, 2, 0, -1, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, 0, -2, 1, -2, -1, 2, -2, 0, 1, -1, 2, -1, -2, 0, 0, -2, 0, -1, 0, 4, -1, 0, 1, 1, 1, 1, 2, -1, 1, 1, 1, 0, -2, -2, -1, 1, -1, 1, -1, -2, 0, -1, 4, 0, -2, 0, 1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 1, -2, 0, 0, 1, 2, 2, 0, 0, 4, -1, 0, 1, 0, 0, 2, 0, 1, 1, -2, 0, -1, -1, -1, -1, 0, 0, -2, 0, 1, -2, -1, 4, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, 2, 1, 0, -1, -2, -2, 1, 0, 0, 0, 4, -1, 1, 2, -1, 1, 1, 0, -1, -2, 0, 2, -1, -1, 1, -1, 0, 1, 1, 1, 1, 0, -1, 4, 0, 0, 1, 0, -1, 1, 0, 1, -2, 0, -1, 1, 0, 0, -2, -2, 1, 0, 0, 0, 1, 0, 4, 2, -2, 2, 0, -1, 0, -1, 0, 0, 0, -1, 2, 1, 0, -1, 2, 0, 0, 0, 2, 0, 2, 4, -1, 1, 0, 1, 0, -2, 0, 0, 0, -2, 1, -1, 0, 2, -1, -1, 2, -1, -1, 1, -2, -1, 6, -2, -1, 1, 0, 1, 0, 0, 0, 1, -2, 0, -1, -2, 1, 0, 0, 0, 1, 0, 2, 1, -2, 4, 0, 0, -1, -1, 0, 0, 0, -1, 2, 0, 0, 0, 1, 0, 1, -1, 1, -1, 0, 0, -1, 0, 4, 1, -1, -2, -1, 0, 0, -1, 0, -1, -1, 1, 1, 1, 1, -1, 0, 1, -1, 1, 1, 0, 1, 4, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 0, 0, -2, 0, -1, 0, 0, 0, 0, -1, -1, -1, 4, -1, 1, 0, 1, 0, 0, 1, 1, 2, -2, 1, 0, -1, -2, 1, -1, -2, 1, -1, -2, 0, -1, 6, 0, -1, -2, 2, -1, 1, 2, -1, -2, 0, -1, -1, 0, -2, 0, 0, 0, 0, -1, -1, 1, 0, 4, 1, 0, -1, 0, 1, 3, -2, -1, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, -1, 1, 0, 0, 1, 0, 1, -2, -1, 2, -1, -1, 0, 0, 0, 0, 0, -1, 1, -2, 0, -1, 4, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, -2, 1, -1, -1, 0, 0, 2, -1, 1, 0, 4, -1, 0, 0, -2, 1, 0, 0, 0, 1, 0, 2, 1, -2, 2, 0, 0, 0, -1, 0, 0, 0, -1, 4, 1, 0, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 1, 4, 1, -1, -2, 2, -2, -2, 0, -2, 0, 0, -1, 0, -1, 0, 1, 2, 3, 1, -1, 0, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, -2, 0, -2, 0, 4, -1, 1, 0, 2, -2, 1, -2, 0, 2, 2, -2, 2, 0, -2, 0, 1, 2, 0, -2, 2, -1, -1, 4, 2, -2, -1, 1, 0, 1, 0, -1, -2, -1, -1, 1, 0, 1, 0, -1, 2, 2, 1, -2, 1, 2, 4, -1, 1, -1, 0, -1, 0, 1, -1, -2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, -2, -1, 6, -2, -1, -2, -2, 2, 1, 1, 3, 1, -1, 2, -1, -2, 1, -1, -2, -3, -2, 2, -1, 1, -2, 6, -2, 0, -1, -2, 2, 2, -2, 2, 1, -2, 2, 2, 2, 1, 0, 3, 0, -2, 1, -1, -1, -2, 4, 1, 2, 1, -1, -2, 1, -2, 0, 0, 0, -1, -2, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, 4, 0, -1, -1, 0, -2, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, -2, 1, -1, -2, -1, 2, 0, 4, -1, -1, -2, 0, -2, 0, 0, 0, 1, -2, 0, 2, -1, 0, 0, 0, 0, 2, -2, 1, -1, -1, 4, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, 2, -1, 1, 1, 2, -1, -1, -1, 0, 4, 1, -1, 1, 1, -1, 1, 1, 1, 0, -1, 1, 0, 2, -2, -1, 1, 2, -2, 0, -2, 0, 1, 4, -1, 1, -1, -1, -1, 0, 1, 0, -2, 0, 2, -2, -1, -2, 3, -2, 1, -2, 0, 2, -1, -1, 6, 0, -2, 1, -1, -1, 0, -1, 1, -3, 0, 2, -1, 1, 1, 2, -2, 0, -2, 0, 1, 1, 0, 4, 1, -1, 1, 1, 2, 0, 0, 1, -2, 0, 1, 2, -1, 1, 0, 0, 0, 0, 1, -1, -2, 1, 4, 0, 2, 1, 0, 1, 1, 2, 0, -2, 0, 0, 2, -2, 0, -1, 0, 0, -1, -1, 1, -1, 0, 4, 0, -2, -1, 0, 0, -2, -2, 0, 1, 2, -1, 2, 0, 0, 0, 0, 1, -1, -1, 1, 2, 0, 4, 1, 1, 1, 1, 1, 0, 1, 0, 0, -2, 2, -1, 0, 1, -1, 1, 0, -1, 1, 1, -2, 1, 4, 1, 0, 2, 1, 0, 2, -1, 1, 1, 2, -2, 0, -2, 0, 1, 1, 0, 2, 0, -1, 1, 1, 4, 0, -1, 1, -2, 0, 2, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 4, 0, 1, 0, -2, 2, 1, -2, 0, 0, -1, 2, -1, -1, -2, 1, 0, 1, 0, 1, 2, -1, 0, 6, -1, -2, 2, 1, 2, -3, 3, 0, 1, -1, -1, 1, 0, -3, 1, 2, -2, 1, 1, 1, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, -1, -2, -2, 0, -2, -1, 2, -1, -2, -2, -2, -2, 2, 2, -2, 2, -2, 1, 4, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 1, 1, -2, 0, -1, -2, 0, 1, -1, 0, 4, 2, 2, 2, 0, 0, 0, 0, 2, 0, -1, 1, 1, 2, 2, 0, 1, 0, -1, 1, -1, 1, 2, 4, 1, 2, 1, 0, -1, 1, 2, -1, -1, 1, 2, 2, 2, -1, 0, -1, -1, 2, -2, 0, 2, 1, 4, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, -1, 0, -2, 2, -1, 1, 2, 2, 1, 4, 0, 1, -1, 1, 2, -1, -1, 1, 2, 2, 0, -1, -1, -1, 0, 2, -2, 0, 0, 1, 0, 0, 4, 2, 1, 2, 1, -2, 0, 1, 2, 1, 2, -2, -2, 0, -2, 2, -2, 0, 0, 0, 0, 1, 2, 4, 1, 2, 1, -2, 0, 1, 2, 1, 1, -2, -1, 0, 0, 2, 0, 0, 0, -1, 0, -1, 1, 1, 4, -1, 0, 1, -1, 0, 1, 0, 1, 1, 0, -1, 0, 1, -2, 0, 0, 1, 0, 1, 2, 2, -1, 4, 0, -2, 0, 1, 1, 1, 0, -2, -2, 1, 0, 1, -1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, -1, -1, 1, 1, 2, 1, -1, -1, 0, -1, 1, 2, 0, 0, -1, 0, -1, -2, -2, 1, -2, -1, 4, 0, 0, -2, -1, -1, 2, 1, -1, 1, -1, -1, 0, -1, -1, 1, -1, 0, 0, -1, 0, -1, 0, 4, 0, 0, -1, 0, 0, -1, 1, -1, 0, -2, -1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 4, 2, 1, 1, -1, -2, 1, -1, 1, -2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, -2, 0, 2, 6, 1, 2, -1, -1, -2, -2, 4, -2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, -1, -1, 1, 1, 4, 1, -1, -1, 1, -1, 1, -2, -2, 2, 2, 1, 0, 2, 1, 1, 0, 1, -1, 0, 1, 2, 1, 6, -1, 1, 0, -2, 2, 2, 0, 0, -1, 0, -1, -2, -2, 1, -2, -1, 2, 0, -1, -1, -1, -1, 4, 1, 0, 1, -1, 2, -1, 1, 0, -1, -1, -2, -1, 0, -2, -1, 1, -1, -2, -1, -1, 1, 1, 6, -1, 1, -1, -2, -2, 0, -1, 0, -1, 0, 0, -1, 1, 0, -1, 1, 1, -2, 1, 0, 0, -1, 6, 0, -2, 2, 0, -1, -1, -2, 0, -2, 0, 0, 0, -1, 1, -1, -1, -2, -1, -2, 1, 1, 0, 4, -2, -2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, -1, 0, 1, 4, 1, 2, -1, -1, -2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, -1, 1, 1, 1, 0, -1, 1, 1, 1, 1, -1, 1, -2, -1, -1, 1, 1, -1, 1, 4, 2, 0, -1, -1, 1, 1, -1, 0, 1, 1, 1, 1, -1, 0, -1, -1, -1, 1, 1, 1, 1, 2, 4, -1, -2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 1, 1, 0, -1, 4, 1, 1, 0, -1, 0, -1, 0, -1, 2, -1, -2, -1, -2, 0, -2, 0, 2, 1, -1, -1, -2, 1, 4, 0, -2, 1, 0, -1, -2, 1, 0, 1, 0, 1, 1, 2, -1, -2, 0, -1, 1, -1, 0, 1, 0, 4, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, -2, 1, 0, -1, 0, 0, 1, 1, 2, 0, -2, -1, 4, 0, 1, 1, 2, -1, 1, -1, -1, -1, 0, -2, 0, 2, 0, 1, 1, 1, 0, -1, 1, 0, 0, 4, 0, -1, -1, 2, -1, 2, 1, 2, 0, 1, -1, -1, 0, -1, 0, -1, 1, 0, 0, 0, 1, 0, 4, -1, 1, 0, -1, 0, 1, 0, 1, -1, 0, 1, -1, 1, -1, 0, 0, -1, -1, -1, 1, -1, -1, 4, 1, -1, 0, -1, 0, -2, 1, -1, 1, 1, 0, 0, 1, 1, 2, 0, -2, -1, 2, -1, 1, 1, 4, -1, 1, 0, 0, -1, 0, -2, 0, 2, 0, 1, 1, 1, 0, -1, 1, 0, -1, 2, 0, -1, -1, 4, -1, 2, 0, 2, 0, 0, -1, -1, 0, -1, 1, 1, 0, 2, 0, 0, 1, -1, -1, 0, 1, -1, 4, -1, -1, -1, -1, -1, 0, 1, 1, 1, 1, 1, 0, -1, 1, 0, -1, 2, 0, -1, 0, 2, -1, 4, 0, 2, 0, 1, -1, -1, 0, -1, -1, -1, 0, -2, 0, 0, -1, 1, 1, 0, 0, 0, -1, 0, 4, 0, 1, 0, 2, 0, -2, 0, 1, 0, 0, -1, 1, 0, -1, 2, 0, -2, -1, 2, -1, 2, 0, 4, 1, 1, -1, -1, 0, -1, -2, -1, 0, -2, 1, -2, 0, 0, 1, 1, 0, 0, -1, 0, 1, 1, 4, 0, 1, 0, -1, 0, -1, -1, -2, 0, 2, 1, -2, 1, -1, -1, -2, 0, -1, 1, 0, 1, 0, 4, 0, -2, 0, -1, -1, -1, 0, -2, -1, 0, 0, -1, 0, 1, 0, -1, 0, -1, 2, -1, 1, 0, 4, 0, -2, 0, 1, 1, 2, 0, -2, -1, 2, -1, 1, 1, 2, -1, 1, -1, 0, -1, 0, -2, 0, 4, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -2, 0, -1, 0, -2, 1, 4, 0, -1, 1, 1, 1, -1, 0, 1, -1, 1, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 1, -1, 2, -1, -1, 1, -2, -2, -1, 1, -1, 1, 1, 1, 1, 0, 0, 0, -2, 4, 2, 1, 0, 1, -1, 1, 1, -1, 2, 1, 1, 0, 1, -1, 0, 0, -2, 1, 0, 1, -2, 2, 4, 2, -1, 1, -2, 1, 0, -1, 2, 0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 1, -1, 1, 2, 4, -2, 2, -1, 2, 0, 1, 1, 0, 2, 0, 0, 0, -2, 0, -1, 0, 0, 2, 1, 0, -1, -2, 4, -1, 1, -2, 1, -1, -1, 0, -2, -1, -1, -1, 2, 1, 0, 0, 0, -1, -1, 1, 1, 2, -1, 4, -2, 1, 1, 1, 1, 1, 2, 1, -1, -1, -2, 1, -1, 1, -1, 2, 2, -1, -2, -1, 1, -2, 4, 0, 0, 0, -2, -1, -1, 0, 0, 0, 2, -1, 2, -1, 0, -1, -1, 1, 1, 2, -2, 1, 0, 4, 0, 0, 1, 1, 2, 1, 0, -1, -1, 0, 0, 1, -1, 1, -1, 1, 0, 0, 1, 1, 0, 0, 4, -1, 0, 1, 0, 1, 0, 0, 1, 1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 1, 0, 0, -1, 4, -1, -1, 1, 0, 0, 0, -2, 1, 1, -1, -1, 1, -2, 2, 2, 1, -1, 1, -2, 1, 0, -1, 4, 0, 2, 0, 0, 0, -1, 0, -2, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, 1, 1, -1, 0, 4, 0, 0, 1, -2, 0, 0, 0, 2, -1, -1, -1, 1, 1, 2, -2, 2, -1, 2, 0, 1, 2, 0, 4, 0, 0, 0, -2, 0, -1, 0, 0, 2, 1, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 4, -1, 0, 0, 1, 0, 1, -1, 1, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, -1, 4, 1, 1, 0, -1, 0, 1, -1, 1, -1, 0, 0, -1, -1, 0, -1, 0, 0, 0, -2, 0, 0, 1, 4, 1, 0, -1, -1, 2, 1, 1, 0, -1, -2, 2, -2, 2, -1, 1, -2, -1, 0, -2, 0, 1, 1, 4, 0, 0, 0, 1, -1, 1, 0, 0, 0, 1, 1, -1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 4, -1, 1, 0, 1, 1, -2, -2, -1, 0, -1, 2, 0, -1, 1, -2, 0, -1, 0, -1, -1, 0, -1, 4, -1, -1, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 2, 0, 1, 0, -1, 0, 1, -1, 4, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 0, -1, 0, -1, 1, 2, 1, 0, -1, 0, 4, 0, 0, 1, 1, 2, -1, 2, -1, 1, 1, 1, 1, -1, 2, 1, -1, 1, -1, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 2, 1, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, -1, -1, 1, 1, 1, 1, -2, 4, -2, 2, -2, -1, 2, -1, 1, -1, -1, -2, 0, -1, 1, -1, -1, 2, -2, -2, 1, 1, 2, -2, 4, -2, 0, 0, -1, 1, -1, 0, 0, 0, -1, 1, -1, 2, -1, 0, 0, 2, -1, 0, -2, 2, -2, 4, -2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, -2, 0, -2, 4, 0, -1, 0, 1, 0, 2, 1, 0, -1, 0, -1, 0, -2, 1, 0, 0, 0, 1, -1, 0, 0, 0, 4, 1, 1, -2, -1, -1, 2, 0, 1, -1, 0, -1, -2, 0, 2, -1, -1, -1, 2, -1, 1, -1, 1, 4, -1, -1, -2, 0, 0, 0, 0, 1, -1, -2, 1, -2, -1, -1, 1, 0, -1, 1, 0, 0, 1, -1, 4, -1, 1, 0, 1, 1, 1, -2, 0, -1, 0, 1, 2, -2, -2, 0, 1, -1, 0, 1, -2, -1, -1, 4, 1, 1, -1, 0, -2, 1, 0, 1, 0, 0, -1, 2, 1, 0, -1, 0, 1, 0, -1, -2, 1, 1, 4, 1, 0, 0, 0, -1, 1, 1, 0, 2, 1, 0, -1, 1, -1, 0, -1, 2, -1, 0, 0, 1, 1, 4, 1, 1, -1, 0, -1, 0, -1, 1, 0, 0, 0, 1, -2, 0, 0, 1, 2, 0, 1, -1, 0, 1, 4, 1, 0, -1, 0, 0, -1, 2, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 1, 0, -2, 1, 0, 0, -1, -1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -2, 0, -1, 0, 1, 4, -1, 0, 0, 1, 0, 0, -1, -1, 0, 1, -1, 0, 0, -1, 1, -2, 1, -1, 0, -1, 0, -1, 4, 0, 0, 1, -1, -2, 2, 2, 1, -1, 2, 0, -1, 0, -1, 0, 0, 1, -1, 0, -2, 0, 0, 4, 0, 1, 1, 1, 0, 1, -1, -1, -1, 1, 0, -1, -2, -1, 1, 1, 0, 0, 1, 0, 0, 0, 6, 0, 1, 0, 2, -1, -1, 2, 0, 2, -2, -2, 1, 0, 0, 0, -1, -1, 0, 1, 1, 1, 0, 6, 0, -2, 1, 2, 1, -2, 0, 0, 1, 0, -2, 1, 0, 2, 1, 2, 0, 0, -1, 1, 1, 0, 4, 0, 0, 0, 1, -2, 2, 0, 0, 2, -1, 2, -1, 1, 0, 1, -1, 0, -2, 1, 0, -2, 0, 6, 0, -2, 1, 1, -1, 1, 0, -1, -1, -2, 2, 0, 0, -1, -1, -1, 2, 0, 2, 1, 0, 0, 6, 1, 1, 1, 0, 0, 0, -1, 1, -2, 1, -1, 0, 0, -1, -1, 2, 1, -1, 2, 0, -2, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, 1, -1, -1, 1, 2, 2, -2, 1, -1, 0, 2, -2, -2, -2, -1, 2, 1, 1, 4, -1, -2, 1, 1, 1, -2, -1, 0, 1, -2, 1, -2, 1, 2, -2, -2, -2, 1, 2, -1, 2, -1, 4, 1, 1, -1, -2, 1, 2, 1, 1, -1, -1, 1, 0, 1, -1, -1, -1, -2, 1, 2, -1, -2, 1, 4, -2, -2, 0, 2, 1, 1, -2, 2, 0, 2, 0, -2, 0, 2, 0, -1, 0, 1, 2, 1, 1, -2, 4, 1, 0, -1, 1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 0, -1, 0, 1, 1, 1, -1, -2, 1, 4, 1, -2, -1, 0, 0, -2, 0, -1, -1, 0, -1, -2, -1, 0, 1, 0, -1, 1, -2, 0, 0, 1, 4, 0, 0, 0, -1, 0, 1, -1, 1, -1, 1, 0, 0, 1, 1, 0, -1, -2, 1, 2, -1, -2, 0, 4, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, -1, -1, 1, 1, -1, 2, 1, 1, -1, 0, 2, 4, 2, 0, -1, 0, 1, 0, 0, 1, -1, 0, -2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 4, 0, 0, 1, 0, 0, 1, 0, 0, -1, -2, 1, 1, 2, 1, 1, -2, 1, 0, -1, 0, 0, 0, 4, -1, 0, -1, 1, 3, 0, -2, -1, 0, 0, 0, -2, -2, -1, 2, -1, -2, 0, 1, -1, 0, -1, 6, 0, 0, 0, -1, 2, 3, 2, 1, -2, -1, 1, 1, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4, -1, 1, 1, 0, 1, -2, 1, 1, 0, -1, -2, 1, 2, -1, -1, -1, 2, 1, 0, -1, 0, -1, 4, 0, -2, 0, 1, 1, -1, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, 0, 4, 0, 0, 1, -1, 0, 1, 1, 2, 2, 1, -2, 1, 0, -1, 0, 0, 1, 3, -1, 1, -2, 0, 6, -1, -2, -2, 0, 0, 0, -2, -2, -1, 0, 0, -1, 1, 2, 1, 0, 0, 2, 0, 0, 0, -1, 6, 1, 2, 0, -2, 0, -2, -2, -1, 2, -1, -2, 0, 1, -1, 0, -2, 3, 1, 1, 1, -2, 1, 6, 2, 0, -2, 0, -2, -2, -1, 0, 0, -1, 0, 0, 0, -1, -1, 2, -2, 1, -1, -2, 2, 2, 6, 1, -3, -1, -1, 1, -2, -1, -1, 0, 1, -1, -2, -2, 0, 1, 1, -1, 0, 0, 0, 0, 1, 4, 0, -2, 2, 2, 1, 0, 0, 1, 1, -1, 1, 1, 0, -2, 1, -1, 1, 0, -2, -2, -3, 0, 6, 0, 1, -1, 2, 1, 1, 0, 0, 1, 2, 1, 0, -1, 0, 1, 1, 0, 0, 0, -1, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, -1, 2, 2, 1, -2, 1, 1, 1, -2, 2, 2, 2, 0, -1, 1, -2, -2, 2, 1, 4, -1, -1, -2, 0, 2, 2, 1, 2, 2, 2, -2, 0, 2, -1, 0, -2, 2, 1, -2, 0, 2, -1, 4, 1, 0, 2, 1, 0, -1, 0, 0, 0, -1, 2, 1, 1, 0, 0, 0, -1, -1, 2, 2, -1, 1, 4, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 0, 1, -1, -1, -1, 1, -1, -2, 0, 1, 4, -1, 0, -2, 1, -1, -2, -1, 2, 0, -1, 1, -1, 1, -1, -1, 0, -1, 2, 0, 2, 1, -1, 4, 2, 0, 0, 1, 0, 1, -1, 2, 0, 0, 1, -1, 1, 0, -1, 1, 2, 2, 1, 1, 0, 2, 6, 0, 2, 2, 0, 2, -1, 3, 3, -1, 1, -2, 0, 1, -1, 0, 1, 2, 0, -1, -2, 0, 0, 4, 0, 2, 2, 1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 1, -2, 1, -1, -1, 1, 0, 2, 0, 6, 2, -1, 0, 0, 0, 0, -3, 0, 0, 0, 3, 1, -1, 1, 2, 0, -1, -1, 1, 2, 2, 2, 4, 1, 2, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, 1, 2, 0, -1, -2, 0, 0, 2, -1, 1, 4, 2, -1, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, 2, 0, -1, -1, 1, 2, 1, 0, 2, 2, 4, -1, 1, 1, -1, 0, -1, 1, 0, -1, 0, -2, -2, -1, -1, 2, -1, -1, -1, 0, -1, -1, -1, 4, -1, -2, 0, 1, 0, -1, 0, 1, -1, 2, 0, 2, 1, 0, 2, 3, 0, 0, 1, 0, 1, -1, 4, 1, 1, 0, -1, 0, -1, 0, 1, 2, 2, 1, 1, -1, 0, 3, 0, 0, 1, 0, 1, -2, 1, 6, 0, -1, 0, 0, 0, -2, 0, 2, -1, 1, 1, 1, 0, -1, -1, -3, -1, -1, -1, 0, 1, 0, 6, -1, 0, 1, -4, 0, 1, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 1, 0, 1, 0, -1, -1, 4, -1, -1, 1, 1, 0, -1, -2, 0, 1, 1, -1, -2, -1, 0, -1, -1, -1, 0, -1, 0, 0, -1, 4, -1, 0, 1, 0, 1, 2, 0, -1, -1, 1, 0, 1, 0, 1, 1, 1, -1, 0, 0, 1, -1, -1, 4, -1, -2, 1, -2, 1, -1, -1, -1, 0, 1, 1, 3, 1, -1, 0, 0, -1, 0, -4, 1, 0, -1, 6, 1, -1, -2, -2, -1, -1, 0, -1, -1, -1, 1, -1, -1, -1, 1, 0, -2, 0, 1, 1, -2, 1, 6, -1, 2, 0, 2, 1, -1, 1, 0, 1, -1, 0, 1, 0, -1, 1, 0, 1, 0, 0, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 2, -2, -1, -2, 0, -2, 0, -1, -1, 0, -1, -1, -2, 1, 1, -2, -2, -2, 2, -2, 4, -1, -1, 1, 2, 1, 0, 1, 0, -1, -1, 0, 2, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 4, -1, -1, 1, 0, 0, 1, 0, 2, 0, 0, -1, 2, 1, -2, 0, 1, 2, 2, 0, 2, -1, -1, 4, -1, -2, 0, 1, -2, 1, -2, 0, 1, 1, 0, -2, 0, 1, -2, -2, 0, 1, -2, 1, -1, -1, 6, -2, 0, 2, 2, 2, 0, 3, 2, -1, 2, 2, 0, 0, 2, 1, -1, -1, -1, 2, 1, -2, -2, 6, 0, -2, 0, -1, 0, -3, -2, 2, -2, 0, 0, 1, 0, 2, 2, 1, -2, 1, 0, 0, 0, 0, 4, -1, 0, 0, 1, 0, -1, 1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 2, -2, -1, 4, 0, 2, -1, 2, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, -2, 2, 0, 0, 0, 4, -1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, -1, 0, 0, 0, 1, 2, -1, 0, 2, -1, 4, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 1, -1, -1, 2, -2, 0, 0, 1, -1, 1, 0, 4, 0, -1, -2, 2, 1, -1, -1, 1, 1, 1, -1, -1, -1, 0, 0, 3, -3, 0, 2, 1, 1, 0, 4, 1, -1, 2, 1, -1, -1, 1, 0, -1, -1, 0, 0, 0, 1, 2, -2, -1, 1, 1, 0, -1, 1, 4, -1, 1, 1, 1, 0, 1, 0, 0, -1, -1, 2, -1, 1, -1, 2, 1, -1, 0, 0, -2, -1, -1, 6, 0, 0, 0, 1, 0, 1, 1, 1, -1, -1, 2, 0, 2, -2, 1, 0, 2, 1, 2, 2, 1, 0, 6, 2, -2, 1, 2, 1, 1, 0, -2, 1, 1, -2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 4, -1, 0, 2, 2, 1, -1, 1, 1, -2, 0, 0, 0, -1, 0, 0, -1, -1, -1, 1, 0, -2, -1, 4, 0, 0, -1, -1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, -1, -1, 0, 1, 1, 0, 0, 4, 0, 0, 1, 2, -2, 1, 1, -2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 4, 2, 0, -1, -2, 1, 2, -2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, -1, 0, 2, 4, 1, 0, -2, 1, 2, 0, -1, 2, 1, -1, 1, 0, 1, -1, 0, 1, 1, 1, -1, 1, 0, 1, 6, -1, 2, -1, 0, 1, -1, 1, -1, 0, -1, 1, -1, -1, -1, 1, 0, -1, 0, 2, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, -1, -1, 1, -2, -1, 2, 1, 0, -2, 2, -2, -1, -2, -2, 2, -1, -2, 1, 4, 0, 2, 1, -2, 1, 2, -1, -2, 0, 2, -1, 1, 2, -1, 1, 1, -2, -1, 1, 0, -1, 0, 4, 1, 2, -1, 2, 1, 1, -1, 1, 1, 1, 2, -1, 1, 2, -1, 2, 1, 2, 1, 1, 2, 1, 4, 0, -2, 1, 2, -1, -1, 1, 2, 1, 1, 0, -1, 2, 0, -1, 0, 2, 0, -1, 1, 2, 0, 4, -1, 2, 1, 1, 0, -1, 1, 0, 2, 0, 1, 0, 1, 0, -1, 0, 1, -1, -2, -1, -2, -1, 4, -2, -2, 1, 2, 0, -2, 0, -1, 0, 1, -1, 1, 0, 0, -1, 1, -1, 1, 2, 1, 2, -2, 4, 1, 1, -1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, -2, 1, 4, 0, -1, 0, 2, 1, 1, 1, -1, 2, -1, -1, -1, 1, 0, -2, -1, 1, -1, 1, 1, 1, 0, 4, 0, -1, -1, 0, 1, -1, 2, 0, 0, 0, -1, 1, 2, -1, -2, -1, -1, 0, 2, -1, -1, 0, 4, -1, -1, 0, -1, -1, 0, -1, 1, 1, 0, -1, 1, 2, 0, 1, 1, -1, 0, 0, 0, -1, -1, 4, 0, 1, -1, 1, -1, 0, -2, 0, 3, 0, -1, 1, 2, 1, 2, 1, -2, 1, 2, -1, -1, 0, 4, 1, 1, 1, 0, 2, 0, -1, -1, 2, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 4, 0, 0, 0, 1, -1, 0, -1, 1, 0, -2, 1, 2, 1, 2, -1, 2, 1, 1, -1, -1, 1, 0, 4, -1, 1, 2, 1, 1, -1, 2, 1, 2, 2, -1, 0, 0, 0, 0, 1, -1, -1, 1, 1, 0, -1, 4, -1, 0, 0, -3, 0, 0, 0, -2, -1, 1, -1, 1, 1, 1, -1, 2, 0, -1, 0, 0, 1, -1, 4, 0, 2, 0, -1, 0, 2, -1, 1, 2, 2, 0, -1, 2, 2, 0, -1, 0, 2, 1, 2, 0, 0, 6, 1, 0, -1, 4, 1, -2, 1, -1, 0, 1, 1, 1, -1, 0, 1, -2, 0, -1, 1, 0, 2, 1, 6, -1, -2, 0, 2, -2, -2, 2, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0, 1, -3, 0, 0, -1, 6, 1, 0, 0, 2, -1, 1, 0, -1, 0, 0, -1, -1, 0, 3, -1, -1, -1, 0, -1, -1, -2, 1, 6, 0, -1, -1, 1, 2, 2, 0, -1, 2, 1, 1, -1, 0, 2, 1, 2, 0, 0, 4, 0, 0, 0, 6, 1, -2, 0, 1, 0, 1, 1, 1, 0, 2, 1, -1, 0, 0, 1, 0, 2, 1, 2, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, 0, -1, 0, 2, -1, 1, 1, 1, 0, -1, 0, 1, 0, -1, 0, -1, 2, -2, 4, 1, -1, 1, 0, 1, 0, 0, 0, -1, -1, 0, -1, 0, -1, -1, 1, 2, -1, 1, -2, 0, 1, 4, 0, -1, 0, 0, 0, 1, 1, 1, 1, -1, 0, 0, 0, 1, 0, 2, 0, -1, 1, 0, -1, 0, 4, 1, 1, 1, 0, 0, -1, 2, 1, 1, 1, 2, 2, 2, -2, 0, 2, -2, 2, 1, 1, -1, 1, 6, 2, 1, -1, 1, -3, 0, 1, 2, -2, 2, 1, 2, 0, 1, 1, -2, 1, 0, 0, 0, 1, 2, 4, -1, -1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, 6, 2, 1, -1, 1, 2, -1, 0, 1, 0, 2, 0, 1, 0, -2, 1, 0, 0, 0, 0, -1, -1, 2, 4, 0, 1, 0, 1, -2, 1, -1, -1, -1, 1, 0, -1, 1, -1, 2, 0, 1, 0, 1, 0, 1, 0, 4, 0, 0, 2, 0, -1, 0, 0, 2, 0, 0, 0, -2, 2, -1, 0, 1, -1, -3, 0, -1, 1, 0, 4, -1, 0, -2, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 2, 0, 1, 1, 0, 0, -1, 4, 0, 1, 2, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 4, -1, -1, 1, 1, 3, -1, 0, 1, -3, 3, 1, 0, -1, 1, 2, 2, -1, -2, 0, -2, 1, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -2, 1, 0, 1, -1, 1, 2, -1, 0, 4, -1, -1, -1, 1, -1, -1, 1, 0, -1, 0, 0, 2, 2, 0, 1, -1, 0, -1, 0, 1, 0, -1, 4, 2, 2, -2, 1, 2, -2, 2, 0, -1, 0, 2, 1, 0, 0, -1, 0, -1, 0, 1, 0, -1, 2, 4, 1, -2, 0, 2, -2, 2, 1, -1, 1, 2, 2, 0, 2, -1, 2, -1, 1, 3, 0, -1, 2, 1, 6, -2, 0, 2, -4, 4, 0, 1, 0, -2, 0, 1, 0, 1, 0, 1, 0, -1, 0, 1, -2, -2, -2, 4, 0, -2, 2, -2, -1, 2, 2, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 4, 0, 0, 0, 0, -1, 0, 2, 1, 0, 0, -1, 0, -1, 0, 1, 0, -1, 2, 2, 2, -2, 0, 4, -1, 2, -1, 1, -1, -2, -2, 0, -2, 1, -2, 1, -1, -3, 0, 1, -2, -2, -4, 2, 0, -1, 6, -4, 2, -2, 1, 2, 1, 0, 1, -1, 2, -1, 1, 3, 0, 0, 2, 2, 4, -2, 0, 2, -4, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, -1, -1, 1, 1, -1, -1, 0, 1, -1, -1, 1, 1, 0, -2, 0, 1, 1, 2, 1, 4, -1, -1, 0, 0, -1, 1, -1, 1, 1, 1, -1, -1, -1, 0, 1, 1, 1, 2, 1, 2, 0, -1, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -2, 1, 1, 0, -1, -1, -1, 0, 4, -1, 1, 0, 1, 2, 0, 1, 1, 2, -1, 1, 1, -2, 1, -1, 1, -2, -1, -1, 0, 0, -1, 4, 0, -1, -2, -1, -1, -1, -2, -1, 1, 0, 1, 1, 2, 1, 1, 1, -1, -1, 0, 1, 1, 0, 4, 1, 1, 2, -1, -1, 1, 2, 0, 0, -1, 1, 0, -1, 1, -2, 0, 1, -1, 0, 0, -1, 1, 4, 0, 0, 0, -1, 0, 0, -1, 2, 0, 1, -2, -2, 0, 0, 0, 1, 1, 0, 1, -2, 1, 0, 4, 0, 0, 0, 2, 1, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, -1, 0, 2, -1, 2, 0, 0, 4, -1, 0, 1, 2, 0, 0, -1, -1, 0, -1, 0, -2, 0, -1, 1, 0, 0, -1, -1, 0, 0, -1, 4, 2, 0, -1, -1, -1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, -1, -1, -1, 0, 0, 2, 4, 0, 0, -1, -1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, -2, 1, 0, 2, 1, 0, 0, 4, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, -1, -1, 0, 2, -1, 2, 0, 1, 2, -1, 0, 0, 4, 0, 0, -1, -1, 0, -1, 0, -2, 0, -1, -1, -1, -1, 1, 0, -1, 0, 0, -1, -1, 0, 0, 4, 0, -1, -1, 2, 0, -3, 0, -1, 1, -1, -1, 1, 0, 0, 2, 0, 0, -1, -1, 0, 0, 0, 4, 1, -1, -1, -2, 0, 0, 0, 1, 0, 1, 1, 1, -1, 0, 0, -1, 0, 0, 0, -1, -1, 1, 4, 0, 0, 0, 2, 1, 0, 0, 1, 1, -2, 1, 1, 1, -1, -1, 1, 0, -1, -1, -1, -1, 0, 4, -1, 1, 1, 1, 1, -2, 1, -2, 1, 2, 0, -2, 0, 0, 0, 1, 0, 0, 2, -1, 0, -1, 6, 1, 0, 0, -1, 0, 1, 1, -1, 1, -1, -2, -1, -1, 1, 2, -1, -1, 0, -2, 0, 1, 1, 4, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 2, 1, 0, 0, 6, 1, 1, 1, 1, 0, -2, 1, -2, 0, -1, -2, 1, 0, -1, -2, 0, 0, 1, 1, 0, 1, 1, 4, 0, 2, 2, -1, -1, -1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 1, -1, 2, -1, 1, 2, 2, -1, -2, -1, -2, 1, -2, -2, 0, 2, -2, -1, 1, 4, -1, 2, 0, -1, 2, 1, 2, -1, 2, 1, 0, 1, -1, 2, -1, -2, 0, 2, 0, 1, 2, -1, 4, -1, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, -2, 1, 2, -1, 4, -1, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, 4, 0, 2, 1, 0, -1, 2, 1, 0, 1, -1, 1, -2, -2, -1, 2, 0, 1, -1, -1, 0, -1, 0, 4, 1, 1, 0, -1, 1, 1, 0, 1, 1, -1, 0, -1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 6, 1, 1, 0, 4, 0, 0, 0, -2, 1, -3, -4, 0, 4, -1, 1, -1, 1, 0, 0, 1, 1, 1, 4, 1, -3, 0, 2, 0, 2, 1, 1, 0, 0, -1, 0, 1, 1, 1, 2, -1, 1, 0, 0, 1, 1, 4, 0, 1, 1, -1, 1, 0, 2, 0, -1, 1, 1, -1, 1, 2, -1, 1, 0, -1, -1, 0, -3, 0, 6, -1, -2, 0, -2, -2, -1, 1, 1, 2, -1, -2, -2, 2, 2, 0, 0, 2, 1, 4, 0, 1, -1, 6, 0, 0, 1, -1, 1, -3, -4, 0, 4, -1, 1, -1, 1, 0, 0, 1, 1, 0, 2, 1, -2, 0, 4, 0, 2, 0, 1, 0, -1, -1, 0, 1, 1, -2, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 1, -1, 1, 0, 1, 0, 1, 1, -1, 1, 0, 0, 1, 1, 0, 2, 1, -2, 1, 2, 0, 4, 0, 1, 0, 0, -1, 0, 1, 1, -2, -1, -1, 0, -1, 1, -2, 1, 0, -2, -1, 0, 1, 0, 4, -1, 1, 1, 1, -1, 0, 1, 1, 2, -1, 2, 1, -1, 1, 1, 2, -1, 1, 1, -1, 1, -1, 4, 0, -1, -1, 1, 0, 2, -2, -1, -1, 0, -2, 0, -3, 0, 0, 1, -3, 0, 1, 0, 1, 0, 4, 3, 1, -3, 1, 0, -2, -2, 0, 0, -2, -1, -4, 0, -1, 1, -4, -1, 0, 0, 1, -1, 3, 6, 0, -4, 1, -1, 0, 0, -1, 0, -1, 1, 0, -1, 1, 2, 0, -1, 1, -1, 1, -1, 1, 0, 4, 0, -1, 0, 2, 2, 0, 0, 2, 1, 4, 0, 1, -1, 4, 0, 0, 0, -1, 1, -3, -4, 0, 6, 0, 1, -2, 0, -1, -1, 0, 0, -1, 1, -1, -2, -1, 1, 1, 1, 0, 0, 1, 1, -1, 0, 4, 0, -1, 1, -2, 1, 1, 0, 1, 1, 1, -2, 1, 1, 1, 1, 1, 2, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, -1, 0, 0, -2, 0, -2, 0, -2, -2, -2, 0, 1, 2, -1, -1, -1, -1, -1, -2, -2, 4, -1, 2, 0, -1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, -1, 6, 2, -2, -2, 0, -2, 0, -2, 0, 1, -2, -2, 0, 3, -2, 1, -1, -3, -3, 2, -1, 2, 2, 6, 1, 0, 0, 1, 0, 1, 0, 1, -1, 1, 2, 1, -2, -1, 2, 0, -1, 1, 0, 0, -2, 1, 4, 1, -1, 2, -1, 2, -1, 0, 1, 2, 1, 0, 1, -2, 1, 2, 0, -1, 0, -1, -2, 0, 1, 4, 0, 1, 0, 1, 0, -2, 1, 1, -1, -2, 1, -1, -1, 1, 2, -1, -2, 2, 0, 0, -1, 0, 4, -1, 2, 0, 2, 1, 1, 0, -1, -1, 1, 1, 0, 0, 1, 2, 0, 1, -2, 1, 2, 1, -1, 4, 0, 2, 0, -1, 0, 2, 1, -1, 1, -2, 1, 2, 1, 0, -2, 2, 0, 0, -1, 0, 2, 0, 4, -1, 2, 1, 1, 0, -1, 0, 1, 1, 0, 0, 0, 2, 0, 1, -2, 1, 2, 1, 0, 2, -1, 4, 0, -1, 0, 2, 1, 0, 1, -2, 1, 2, 0, 0, -2, 2, 0, 0, -1, 0, 2, 0, 2, 0, 4, 1, 1, -1, -1, -1, 1, 1, 0, 0, 0, 2, -2, 2, 1, 1, 0, -2, 1, -1, 1, -1, 1, 6, 3, -1, -1, 1, -1, 2, 1, -1, -2, 2, -2, 1, -2, -1, 1, 1, 1, 0, 1, 0, 1, 3, 6, 0, -2, -1, 0, 1, 1, 0, 1, 1, 0, 1, -2, 1, 2, 1, 0, 2, 0, 2, -1, -1, 0, 4, 1, -1, 1, -2, 1, 2, 0, 0, 1, 1, 0, 2, 1, -1, -1, 1, -1, 1, -1, -1, -2, 1, 4, 1, -1, -1, 1, 1, -1, 0, 2, 0, 3, 1, 0, -2, -1, -1, 0, 0, -1, 1, -1, -1, 1, 6, -1, -1, 0, -1, -3, 0, -1, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, -1, 0, 1, -1, -1, 4, -1, -1, 2, 1, 0, -1, 0, 1, -1, -2, -1, 1, -2, 1, -2, 1, 2, 1, -2, -1, -1, -1, 4, 0, -2, 0, 1, -1, 2, -1, 2, 1, -1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, -1, 0, 4, 1, 0, 0, -1, 1, -3, 0, 2, 1, 0, 2, 0, 2, 0, -1, 0, 2, 1, -1, 2, -2, 1, 4, 1, 0, -1, 0, -3, -1, 0, 2, 1, 1, 0, 0, 0, -2, 1, 0, -1, -3, 1, 0, 0, 1, 6, -2, -2, 2, 2, 1, -1, -1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, -1, 0, 0, 2, -1, -2, 1, -1, -1, 1, 1, 0, 4, 2, 1, 2, 1, 1, -2, -2, -2, -1, -2, 0, 0, 1, 1, 1, -2, 0, -2, -2, 0, 1, 2, 4, 2, 2, 0, 0, -2, -2, -1, 0, -2, 0, 0, 1, 0, 0, 0, -1, -2, -1, 1, 1, 1, 2, 4, 2, 0, 1, -2, 0, 0, 1, -2, -1, -1, 1, -1, 1, 1, -2, -2, -1, 1, 1, 2, 2, 2, 4, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, -2, -2, 0, 1, 2, 1, 0, 0, 0, 4, 0, -1, 1, 0, 0, 0, -1, -1, 2, -1, 0, -1, 1, 0, -1, 1, 1, 1, 0, 1, 1, 0, 4, 0, 1, -1, 0, -1, -1, -1, 1, -1, 0, 0, 0, -1, 1, 1, 0, -2, -2, -2, -1, -1, 0, 6, 0, 1, 0, 1, 2, 2, -1, 1, -2, 1, 0, 1, 3, 0, 1, -2, -2, 0, 0, 1, 1, 0, 6, 1, 0, 0, -2, -2, 1, -2, 0, 2, 0, 0, 2, 0, 1, -2, -1, 0, 0, 0, -1, 1, 1, 4, 2, 1, 1, 1, 0, 0, 0, 1, -1, 1, 2, 1, 2, -1, 0, 1, 0, 0, 0, 0, 0, 2, 4, 0, 1, 1, 1, 0, -1, 1, -1, 0, 0, 1, -1, -2, -2, -2, -2, 0, -1, 1, 0, 1, 0, 4, 0, 1, -1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 2, -2, 1, 1, 0, 4, 2, -1, 2, -1, -1, -1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 2, -2, 1, 1, 1, 2, 4, -1, 2, -1, 0, -1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, -1, 1, 0, 1, -1, -1, -1, 4, -2, -1, 0, 1, -1, -1, 1, -1, 1, 0, -1, 1, -1, -1, 1, -2, 0, 0, 0, 2, 2, -2, 4, 1, -1, -1, 0, 0, 0, -2, 1, 0, 1, 1, 0, 0, -2, 0, 0, -1, 0, -1, -1, -1, 1, 4, -1, 0, 0, -1, 1, 1, -2, 0, 1, 0, -1, 0, 1, 2, 1, 1, 0, -1, 0, 0, -1, -1, 4, -1, 0, 2, 0, -1, 0, -1, -2, -2, 1, 0, 0, 0, -1, -1, 1, -1, -1, 1, -1, 0, -1, 4, 1, -1, 0, -1, -2, -2, -2, -2, 0, -1, 1, 0, 1, 0, 2, 0, 0, -1, 0, 0, 0, 1, 4, 1, 0, 1, -2, -1, -1, 0, -1, 1, 3, 2, 2, 0, 0, 1, 1, -1, 0, -1, 2, -1, 1, 6, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, -1, -1, 0, 0, 1, 0, 1, 1, 0, 0, -1, 1, 2, 1, 0, 2, -1, -1, 2, 4, 0, 1, -1, -1, 1, -1, 0, -1, 0, 0, -1, 1, 0, 0, 2, 0, -1, 2, -1, -1, 0, 0, 4, 2, -1, 1, 2, 2, 0, 2, 0, 0, 2, 2, -2, 0, -1, 2, 2, 1, -2, -1, -1, 1, 2, 6, 1, 2, 2, 2, -2, 2, -2, -1, 2, 2, 0, 0, 0, 1, 2, 0, -3, -2, -1, -1, -1, 1, 4, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, -1, -1, 1, 2, 2, 4, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, -1, 1, 1, -1, 0, -1, 0, 1, 2, 2, 0, 1, 4, 0, 1, 0, 1, 1, 0, 1, -1, 0, 1, 2, 0, 1, -1, 0, 0, -1, 2, 2, 0, 1, 0, 4, 0, 2, -1, 0, 2, 1, -1, 1, -1, 1, 2, 0, -2, -1, 1, 0, 0, -2, 0, 0, 1, 0, 4, -1, 2, 1, -1, 0, -1, 0, 1, 1, -1, 1, 0, 1, 0, -1, 2, 2, 0, 1, 0, 2, -1, 4, 0, 0, 2, 1, -1, 0, -1, 1, 2, 0, -1, -1, 1, 0, 0, -2, 0, 0, 1, -1, 2, 0, 4, 1, -1, 0, -1, 1, 1, 1, -1, 1, 2, 1, 1, 0, 0, -1, 1, 1, 1, 0, 1, 0, 1, 4, 0, -1, 1, 1, 1, 0, 0, 0, 1, 1, 0, -1, 2, 2, 0, 1, 0, 2, -1, 2, -1, 0, 4, 0, -1, 1, -1, 1, 2, 0, -2, -1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, -1, 0, 4, -1, -1, 0, 1, 1, 1, -2, -1, -1, 0, -2, 0, 2, 1, -1, -1, -1, -1, -1, 1, -1, -1, 4, 0, 0, -1, -1, -1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, -1, 0, 4, 1, 0, 0, 1, 1, -1, 2, 2, -1, 0, 1, -1, 1, -1, 1, -1, 1, 1, -1, 0, 0, 1, 4, 0, -1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, -1, 0, 0, 4, 1, 1, -1, 0, 0, -1, 2, 2, 0, 1, 0, 2, -1, 2, -1, 0, 2, 1, -1, 0, -1, 1, 4, 0, -2, -1, 2, 2, 1, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 1, -1, 1, 2, 1, 0, 4, -1, 0, -1, -1, -2, -3, 1, 0, -1, -2, 0, -1, 2, 1, -2, -2, 1, 1, 0, -1, -2, -1, 6, 1, -1, -1, -1, -2, 1, -1, 0, -1, 1, -1, 1, 1, -1, -1, 1, -1, 0, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -2, 1, -2, -1, 0, -1, -2, 0, 1, 0, 2, -1, -1, 2, -1, -2, -2, 1, 1, 4, -2, 0, -1, 2, -1, 0, 0, 1, -1, -1, -1, 0, 0, -2, 1, 0, -1, 1, -1, 0, -1, -2, 4, 0, 2, -1, 1, 1, -1, -1, 1, 1, 0, 1, 1, 0, -1, -1, 0, -1, 1, 0, 2, 0, 0, 4, -2, 0, 0, -1, -1, -2, -2, 0, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, -2, -1, 2, -2, 4, -1, 1, 2, -1, 1, 2, 1, 0, 1, -1, 0, -1, 0, 0, -1, 2, 0, 1, 2, -1, 0, -1, 4, -2, -1, 1, -1, -2, 0, -1, -1, -1, 0, -1, 0, -1, 0, -2, 1, -2, -1, 1, 0, 1, -2, 4, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, -2, 0, 1, 2, -2, -1, 0, 1, -1, 2, -1, 0, 4, -2, 0, 0, -1, 1, 2, 1, -1, 0, 0, -1, -1, 0, 1, 0, 0, -1, -1, -1, 1, 0, -2, 4, 1, 1, 1, -1, -2, -2, 1, 0, 0, 0, 1, 1, -1, -1, 1, -1, -2, 1, -1, 0, 0, 1, 6, 3, -1, 0, 1, -3, -1, 0, 0, 2, 2, 3, 0, -2, -1, 1, -2, 2, -2, 2, 0, 1, 3, 6, 0, -1, 1, -3, 0, 1, 0, 2, 2, 3, -2, 0, -1, 1, 0, 1, 0, 1, -1, 1, -1, 0, 4, -1, -2, 0, 1, -1, 0, -1, -2, 0, -1, 1, -1, 0, 0, 0, -1, 0, 1, -1, 0, -1, -1, 4, 1, 2, -1, 0, 1, 0, -1, 1, 2, 0, 0, 1, 0, 1, -1, 0, 2, -2, 1, 1, -2, 1, 4, 0, -1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, -1, -1, 0, 1, -2, -3, -3, 0, 2, 0, 6, -2, 0, 0, -1, -2, -2, 1, -1, -2, 0, 0, 0, 0, 0, -1, 1, -1, 0, 1, -1, -1, -2, 4, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, -1, 2, 0, 0, 0, 1, -1, 0, 0, 0, 0, 4, -1, 0, 2, 1, -1, 2, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 4, 0, -1, 0, 1, -1, -1, 0, -1, 0, -1, 0, -1, 0, 2, 2, -1, 0, 0, -1, 0, 0, 0, 4, 1, 1, 0, -2, 1, -1, 0, -1, 0, 1, -1, 1, 2, 2, -2, -1, 0, -2, 0, 2, -1, 1, 6, 2, -1, -2, -1, 1, -2, 2, -2, 2, 0, 1, 3, 3, 0, 1, 1, -2, 0, 1, 0, 1, 2, 6, -1, 1, 0, 0, 0, 0, 1, -2, 1, -1, 0, -2, -1, 2, 1, 1, 0, -1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, 0, -1, 2, -1, 1, -2, 0, -1, -1, -2, -2, 1, 0, -1, 0, -1, 0, -2, 6, 2, 2, -2, -2, -1, 0, -1, -2, 2, -1, -1, -1, 1, 3, 1, 1, 1, -1, 2, 2, 0, 2, 4, 0, 0, 0, -1, 0, -2, -2, -1, 0, 0, 0, -1, 1, -1, 0, 1, 0, 2, 2, 0, 2, 0, 4, -1, -2, 0, 1, 0, -1, 1, -1, 0, 0, 1, 2, 1, 1, 0, -1, 1, 1, 1, -2, 0, -1, 4, 0, 1, 1, -1, 0, -2, -1, 1, 1, -1, -2, -2, 1, 1, -1, -2, 0, 0, -2, 0, -2, 0, 4, 1, 0, 1, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 1, 1, 4, 1, 0, -1, 1, -1, 2, 2, 2, -1, -2, 1, 1, -1, -2, 0, 2, 0, 0, 1, 1, 0, 1, 4, -1, 0, -1, -2, 0, 0, 0, -2, 0, 2, 1, -2, -2, 1, -1, -1, -2, 0, -1, 1, 0, -1, 4, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -2, 1, -2, -2, -1, 0, 0, -1, 0, 1, 4, 0, 1, 0, 0, 0, -1, 1, -1, -1, 1, 0, -1, -2, 2, -1, 1, -2, 0, 1, -1, 2, 0, 6, 1, 1, 1, 3, 1, 0, -1, -1, 1, 0, -1, 0, -1, 0, -1, -1, 0, -1, -2, 0, 1, 1, 4, 0, 1, 0, 0, 0, -2, -2, 2, 1, -1, -1, -1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 4, 2, 1, 0, -2, -1, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 4, 1, 0, -2, 0, 0, 0, 0, 0, -2, 1, -1, 1, -1, 0, 2, 0, 1, 0, 3, 0, 1, 1, 4, 0, -1, 0, 1, 0, -1, 0, -2, 3, 1, 2, -2, -2, -1, -2, 1, -1, 1, 0, 0, 0, 0, 6, 2, 0, 0, 0, 3, 1, 1, 1, -1, 1, -2, -1, -2, 0, 1, 1, 0, 0, -2, -2, -1, 2, 4, 0, -1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, -1, -1, -2, -1, 0, 0, 0, 0, 4, 2, -2, -1, 1, -1, 1, 1, 0, 1, 0, 1, 1, 0, -1, -1, -2, 0, 0, 1, 0, -1, 2, 4, -2, -1, 1, 0, -1, 0, -1, -1, 0, -1, -2, 0, 1, 1, 2, 0, 0, 0, 0, 0, -2, -2, 4, 2, -1, -1, 2, 2, 1, -2, -1, -2, -2, -1, 0, 0, 1, 0, 0, -1, 3, 1, -1, -1, 2, 6, 1, 0, 2, 2, 1, 0, 0, 0, 1, -2, -1, -1, -1, 0, 0, 0, 1, 0, 1, 1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, -1, -2, 1, 0, 1, -2, -1, 0, 0, 1, 0, -1, 2, 2, 1, -1, 1, 2, 0, 4, 2, 1, 0, 0, 2, 0, -1, 0, 0, -1, 0, -2, 2, 1, 0, 0, 0, 0, 0, 1, -1, 2, 4, 0, 0, 0, 0, -1, -1, 1, 0, 0, -1, -2, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 0, 4, 1, 0, 0, 1, 0, -1, 1, 1, 2, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, 0, 0, 1, 4, -1, 0, 2, 1, 1, 2, 2, 2, -1, 1, -1, 0, -2, -1, 2, 1, 0, -2, 0, 0, 0, -1, 4, 0, -1, -2, 0, 0, -1, 0, 0, 0, 2, -2, -1, 0, 0, 0, -2, 1, 2, 0, 0, 0, 0, 4, 1, 0, -1, 0, -1, 1, -1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 1, 2, -1, 1, 4, 0, -1, 0, 2, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, -1, -1, 0, 1, -2, 0, 0, 4, 0, 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 1, 0, -2, 0, 1, -1, 1, 0, -1, -1, 0, 4, 1, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, 0, -1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 4, 0, 2, -1, 1, -1, 1, -2, -1, 2, 1, 0, 0, -1, 0, 1, 2, -1, -1, 2, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 4, 0, 0, -1, 0, -2, -2, 2, 2, 0, 1, -2, -2, 0, -1, 0, -1, 0, 0, 0, -1, 1, 0, 4, -2, 0, 0, 1, 0, -1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, -1, -1, 1, 0, 0, -2, 4, 1, 0, -1, 1, 1, 1, 1, -1, 1, 1, 0, -1, 2, 0, 0, -1, 0, -1, 0, -1, 0, 1, 4, -2, 0, 1, -1, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 4, 1, 0, 0, 0, 2, 2, 0, 0, -1, -2, -1, 0, 0, 0, -1, -2, 0, -2, 1, -1, 0, 1, 4, 1, -2, -1, 1, 1, 0, 1, 0, -1, 0, -1, -1, -1, -1, -1, 1, -2, 0, 1, 1, 0, 1, 4, -1, 0, 1, -1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, -1, 1, -1, 0, -2, -1, 4, 2, 0, 1, 0, -1, 1, 1, 0, 1, 0, 1, -1, 1, 0, 2, 0, 1, 0, 0, -1, 0, 2, 4, 0, 2, 1, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, -2, -1, -1, 0, 1, -2, -2, -1, 1, -2, 2, 1, -1, -2, 1, -2, -2, 2, 1, 4, 2, 1, 0, 0, -2, 1, 2, -1, 0, -2, -1, 0, -1, 2, -1, -2, 2, 1, -2, 0, 1, 2, 4, 0, -1, 1, -2, 0, 2, -1, 0, -2, 0, -1, -1, 2, -2, 0, 2, 1, 0, -1, -1, 1, 0, 4, 1, 1, -1, 0, 1, 1, -1, -1, -2, 1, 0, 1, -1, 1, 1, 2, 1, 1, -2, 0, -1, 1, 4, 0, 1, -1, -1, 2, 1, 1, 0, 1, 0, -1, 0, 1, -1, 1, 1, -2, -1, 0, 1, 1, 0, 4, -1, -1, 0, 0, 0, -1, -2, 1, 0, 0, -1, 2, 0, 2, 2, -2, -1, -2, -2, -1, 1, -1, 4, -1, -2, 1, 1, 1, 1, 0, 1, -2, 1, 0, -2, -1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 4, 0, 0, -1, -1, 1, 1, -2, 0, 1, -2, 0, 0, -2, 1, 1, 2, 2, 1, -1, 0, -2, 0, 4, 0, 0, -1, -1, 0, 0, 2, -1, -1, 2, 1, 0, 1, -2, -1, -1, 1, 2, 0, 1, 0, 0, 4, 1, 0, 0, 1, -1, -1, 0, 0, -1, 1, 2, 0, -2, 0, 0, -1, 1, 0, 1, -1, 0, 1, 4, 1, -1, 1, -2, 0, 1, 1, 0, 1, 1, -2, -1, -2, -2, -1, 1, -1, 1, -1, -1, 0, 1, 4, 0, 1, 1, -1, 2, 1, -1, -1, 1, -1, 1, -1, 0, -2, 0, -2, 1, 1, -1, 0, -1, 0, 4, -1, 0, -1, 0, -1, -1, -2, -1, 0, -2, 0, -1, 1, 1, 1, 0, 1, 0, 1, 1, 1, -1, 4, -1, 0, 1, 1, 0, 1, 1, -1, 2, -1, -1, 0, 0, 0, 1, -2, 0, -1, -2, 1, 0, -1, 6, 0, -1, -1, 0, -1, -1, 2, 1, 2, 2, 1, -1, 0, -2, 0, 2, -1, 0, -1, -1, 0, 0, 4, -2, 0, 2, 1, 0, 1, -1, -1, -2, -1, 0, -1, 1, 1, -1, 0, 1, 2, 0, 1, -1, -2, 4, 0, -1, -1, 0, 0, -2, -2, 0, 1, 1, 2, 0, -2, -1, 0, 1, 1, -1, 1, -1, 0, 0, 6, 0, 1, 4, -2, 1, 2, 2, 1, -1, 0, -2, 0, 2, -1, 0, -1, -1, 0, 0, 2, -1, 0, 4, 1, -1, 1, -2, 1, 1, 2, 1, 2, -1, 0, 1, 1, 1, -1, -2, 1, -1, 1, -1, 1, 1, 4, 1, -1, -2, -2, 0, 1, 1, 2, 0, -2, 0, 2, 1, 1, -1, 1, -1, 0, 0, 4, -1, 1, 6, -2, 2, 0, -1, 1, -2, -2, 0, 1, 1, 0, -2, -1, 0, -1, 2, 1, 0, -2, 1, -1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, -2, 0, 0, -1, -1, 2, 1, 0, 1, 0, 0, 1, 2, -2, 1, 1, -2, -1, 1, -2, 4, -1, 1, 0, 0, 2, -1, -1, 1, 0, 1, 0, 0, -2, -1, 1, 1, -2, 1, 2, -2, -1, -1, 4, 2, 1, -1, -1, 1, 0, -1, 0, -1, 0, 0, -1, -1, 1, -1, -1, -1, 1, -1, -2, 1, 2, 6, 2, 1, 1, -1, -2, 1, -2, 1, 2, -2, 0, -3, 3, 1, -1, -1, 3, 0, 0, 0, 1, 2, 4, 0, 1, -1, 0, 1, 0, 1, 0, 0, 1, -2, 1, 1, 0, -2, 0, 1, 0, 0, -1, 1, 0, 4, -1, -2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, -1, 1, 0, 0, -1, 2, -1, 1, 1, -1, 4, 0, -1, 1, 0, 1, -1, 0, 1, -1, 0, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -2, 0, 4, -1, -2, 1, -2, -1, 1, 1, 0, 0, -2, 2, 0, -1, 1, 2, -1, 0, -2, 0, 0, -1, -1, 4, 1, 1, 1, 0, 1, -1, 2, -1, 1, -1, 0, -1, -1, 1, 1, -1, 1, 1, 0, 1, -2, 1, 4, 0, 2, 1, -1, 0, 0, 0, 2, -1, -1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, 4, -1, -1, 2, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 0, 1, -2, 1, 2, -1, 4, 1, 0, -1, 0, 0, 2, -1, -1, 1, 0, 0, 0, 0, 2, 0, 2, -1, -1, 0, 1, -1, 1, 4, -1, 0, -1, 2, 1, -1, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 1, -1, 2, 0, -1, 4, 0, 1, -1, -1, -1, 1, -1, -1, 1, -2, -1, 0, 1, 0, 1, 1, -1, 0, -1, -1, 0, 0, 6, -1, 0, 0, 4, -2, -2, 4, 2, -1, -1, -3, -2, 0, -1, 0, 2, 0, 1, 0, -1, 1, -1, 4, -2, 0, 0, 1, -1, -1, -2, 1, 1, 3, 1, 1, 0, 0, -1, 0, -1, 0, 2, -1, 0, -2, 4, 0, -1, 0, 1, 0, 1, 1, -1, 1, 1, 0, 1, -2, 1, 2, -1, 2, 1, -1, 0, 0, 0, 4, -1, 0, 1, 0, 1, -2, -1, -1, 0, -1, 1, 2, -1, -1, -1, -1, -1, -1, 4, 0, -1, -1, 6, -2, -2, 4, -2, 1, -1, -1, -2, 1, -1, 0, 0, -1, 1, -1, 0, 1, -2, 1, 0, 0, -2, 6, 0, -2, -1, 2, 1, 3, 0, 0, 1, -1, -1, 1, -1, 1, 1, -1, -2, -1, 1, 1, -2, 0, 4, -2, 1, -2, -1, 0, 1, 0, 1, 1, -1, 0, -1, 0, 0, -1, 4, -1, 0, 0, 4, -2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 0, -1, 0, 1, -1, -2, 2, 1, -1, 1, 1, -1, 0, 2, 2, -2, -1, 0, -2, 4, 2, 1, 1, -1, 0, -1, 0, 2, -2, -1, 0, -1, 0, 0, -1, -2, -2, 2, 0, 1, -2, 2, 4, 1, 1, 0, -1, 0, -1, 2, -2, -1, 1, -1, -1, 1, -1, -2, 0, 2, 0, 1, 1, 1, 1, 4, 0, -2, -1, -1, -2, 1, 1, -1, -1, -1, 1, 1, -2, -1, 1, 1, -1, 1, 0, 1, 1, 0, 4, 1, -1, 1, 0, 1, 0, 1, 1, 1, -1, 1, 0, -1, 1, 1, 1, 2, -1, -1, 0, -2, 1, 4, -1, 0, 1, 0, -1, 0, 2, 0, -2, 1, 2, 0, 1, 0, 2, 1, 0, 0, -1, -1, -1, -1, 4, 0, 0, -1, -1, 0, -1, 0, 1, 0, -1, 1, -2, -1, -1, 0, 1, -1, 0, -1, 1, 0, 0, 4, 0, -1, 1, 2, -1, 2, 1, 0, 1, 1, 2, -1, 0, 0, -1, 0, -1, -2, 0, 1, 0, 0, 4, -1, 0, 0, 1, 0, -1, -1, 2, 1, 0, -1, 1, -1, -2, 2, 2, 1, 1, 0, -1, -1, -1, 4, -1, -1, 1, 0, 0, 1, -1, -2, -1, 2, 0, 1, 2, -2, -2, 1, 0, -1, -1, 1, 0, -1, 6, 0, -1, 0, 1, 0, -1, 1, 2, -1, 1, -1, 1, -1, -1, -1, 1, 0, 0, 2, 0, -1, 0, 4, -1, 2, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, -1, 1, 2, -1, -1, 1, 1, -1, -1, 4, -1, -1, 0, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 0, 0, 2, 0, 0, 0, 2, -1, 4, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, -2, 1, 1, -1, 0, 1, 0, -1, 0, 4, -1, -1, 0, 1, 0, -2, 0, -1, 0, 1, 1, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, 4, 0, -1, 0, 1, 1, 2, 0, -1, -1, -2, 0, 2, -1, 1, 2, -1, -1, 1, 1, 1, -1, 0, 4, 1, 1, -1, 1, 0, 2, -2, -2, -1, -1, 0, 1, 1, 1, -2, 1, 0, -1, 1, 0, -1, 1, 4, 1, -2, 0, -1, 2, -2, 0, 1, 1, 1, -2, 2, 0, -1, 2, 0, 1, 0, 1, 0, 1, 1, 6, -1, 0, 1, -2, 2, 2, 1, 1, 0, -1, -1, -1, 2, -1, -1, 1, -1, 0, 1, -1, -2, -1, 4, 1, 1, -1, 0, 0, -1, 1, 2, -1, 0, 1, 0, 1, 0, 1, 0, -2, 1, 1, 0, 0, 1, 4, 0, 0, 1, 1, 1, 2, 1, 0, 0, -1, 1, -1, 0, 1, 0, 0, 2, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 1, -2, 1, -2, -1, -1, -2, 1, 0, -2, -2, -1, 2, -2, -1, 2, 0, 0, 1, 4, 1, -1, 0, 1, 1, -2, -2, 0, 1, 1, 0, 1, -2, -2, 0, -2, -2, 2, 0, 1, 2, 1, 4, 0, 0, -2, 2, -1, -1, 1, -2, 2, 0, 0, -1, -2, 1, 0, 0, 0, 0, -1, 2, -1, 0, 4, 0, -2, 0, 0, 1, -1, -1, 0, 1, -1, 0, 1, 1, -1, 0, 1, -1, -1, 1, 0, 0, 0, 4, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 2, 0, 1, 0, 0, 0, -2, 1, -2, -2, 0, 6, -2, 1, -1, -1, 2, -2, -2, 1, 1, -1, 0, -1, 0, 1, 2, 1, 1, 1, 2, 0, 0, -2, 4, 0, 0, 0, -1, 2, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, -2, -2, -1, 0, 0, 1, 0, 4, 1, 0, 1, -1, 0, 1, 2, 1, -1, 1, 1, -1, 0, -1, -1, -2, -1, 1, 1, -1, 0, 1, 4, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, -2, 0, 0, -1, 0, 1, -1, 0, -1, 0, 0, 1, 4, 0, 0, 1, 1, 0, -1, 0, 1, 2, -1, -1, -1, -2, 1, -2, -1, 1, 2, -1, 1, 1, 0, 6, 0, -1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, -2, 2, -1, 0, 0, 0, 4, -1, 1, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 1, -1, -1, 4, 0, 0, 0, -1, 0, 0, 0, -2, -1, -2, 1, 0, -1, -1, 1, 1, 1, 0, 1, 1, 1, 0, 4, 1, 0, -2, 1, 0, -1, 0, -1, -2, -2, -1, 0, 0, 1, -1, 2, 1, 0, 0, -1, 0, 1, 4, 1, -1, 1, 1, -2, 0, -1, -1, -2, -2, 1, 0, -1, 0, 1, 2, -1, 1, 0, 0, 0, 1, 4, 0, 1, 0, -1, 0, 1, 2, 0, 1, 1, 2, 0, 0, -1, 1, 0, 0, 0, -1, -2, -1, 0, 4, -1, 1, 1, 1, 1, -2, -2, 0, -1, 0, -1, -1, 1, 2, 1, 0, 1, 0, 1, 1, 1, -1, 6, 2, -4, 0, -1, -1, -2, 0, 0, 1, 0, -1, 1, 2, 2, 0, -1, 0, 0, 1, 0, 1, 2, 4, -2, 0, -1, 2, 2, 0, 1, 0, 1, 1, -1, -2, -1, 0, -1, 0, -1, -2, -1, 1, -4, -2, 6, 1, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, -1, 1, 0, -2, 0, 0, 0, 1, 0, 0, 1, 4, 1, 0, 1, -1, -1, 0, 1, 0, -1, 0, -1, 2, 0, -1, -1, -1, 1, 1, -1, -1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -1, 0, 2, -2, -1, -2, -1, 1, 1, 2, 0, 2, -1, 0, -2, -2, -1, -2, 4, 1, 1, -1, 1, -1, 0, 2, 1, 2, 0, 0, -1, -2, 1, -2, 0, 1, 2, 1, 0, 0, 1, 4, 0, 1, -1, -2, 0, 0, 0, 0, 1, 1, 0, 0, 2, -2, 0, -1, 0, 0, 1, 0, 1, 0, 4, -1, 2, 0, -1, 1, 2, 1, 1, 1, 1, 1, -1, -2, -2, 1, 1, 0, -1, 1, -1, 1, -1, 4, 0, -1, -1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, -1, 0, 1, -1, -1, 1, -1, 2, 0, 4, 0, -2, 1, 2, 1, 1, 0, 1, 1, -1, -1, 0, 1, 1, 2, -1, 0, -1, -2, 0, -1, 0, 4, -1, 0, 0, 0, -1, -1, 0, -1, -2, 0, 1, 1, 0, 0, -1, 2, 0, 0, -1, -1, -2, -1, 6, -2, -1, -2, -2, 1, 1, -1, 1, 0, 0, 1, -2, -1, 1, -2, 2, 0, 1, 0, 1, 0, -2, 4, 2, 2, 0, -1, -1, 0, 0, -1, 0, 1, 2, 2, 0, -1, 1, 0, 2, 0, 2, 0, -1, 2, 4, 1, 0, 1, 1, 0, 0, -2, 0, 2, 1, 1, 0, -2, 2, 0, 1, 0, 1, 0, -2, 2, 1, 4, 0, 0, -2, 0, 0, -1, 0, 0, 2, 1, 0, -1, 0, 1, 1, 1, 1, -1, -2, 0, 0, 0, 4, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 1, 1, 0, -1, 1, -1, 1, 0, 1, 4, 0, 1, 0, 0, -1, 1, 0, -1, 0, 1, -1, 0, 1, 0, 1, 0, 1, -1, 1, -2, 0, 0, 4, 0, 0, -1, 0, 0, -1, 1, 0, 2, -2, 0, 1, 2, 1, -1, -1, 0, 0, 0, 0, 1, 0, 6, -1, 1, -2, 0, 0, 0, 0, 0, 1, 2, -1, 0, -1, -2, 1, 0, 0, 0, -1, 0, 0, -1, 4, 0, 0, -1, 0, 0, 2, 2, -2, -2, -2, 2, -1, 0, 0, -1, -2, -1, 0, 0, -1, 1, 0, 6, 0, -1, -1, -1, -1, -1, 0, 0, -2, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 4, 0, 0, 2, 0, 0, 1, -1, 1, -1, 1, 1, 1, 1, 2, 0, -1, 1, 0, 0, -1, -1, 0, 4, 0, 0, 0, -2, 2, 0, 1, 0, 1, 0, -2, 2, 1, 2, 0, 0, -1, 0, 0, -1, 0, 0, 4, 2, 0, -2, 1, 0, 0, 1, 2, 0, -1, 2, 1, 1, 0, -1, 1, 0, 0, -1, 2, 0, 2, 6, 0, -1, 0, 1, -1, -1, -1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 2, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, -2, -1, 0, -2, -1, -1, 2, 2, 2, 2, -1, 0, -1, 1, -2, 1, -2, -2, 1, -2, 4, 1, 0, 0, 0, 1, 1, 1, 0, 0, -2, -1, 1, -1, 1, -1, 1, 0, 1, 1, 1, 1, 1, 6, -2, -1, 2, 1, -2, -2, -1, -1, 0, 1, 1, 0, -2, 2, 2, -1, -3, -1, 3, -2, 0, -2, 6, 1, 1, 2, 2, 0, -2, -3, -1, -2, -1, -1, 1, 1, 1, 1, 1, 2, -2, -1, 0, -1, 1, 4, 1, 1, -1, 2, 0, -1, 0, 0, -1, 1, 1, 1, 2, 0, -1, 0, -1, 0, 0, 2, 1, 1, 4, 0, -1, 0, -2, -2, 0, 1, -1, 1, -1, 2, 2, -1, -2, -1, 0, -2, 1, 1, 2, 1, 0, 4, 0, 0, -2, -2, -1, -2, 0, -1, 1, 0, 2, 0, 0, 2, 0, -1, 1, -2, 2, -1, -1, 0, 4, 0, 1, 1, -1, -2, 1, -2, 0, -1, -1, 0, 2, 2, -1, -1, 1, -2, 0, 2, 0, 0, 0, 4, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 0, -1, 2, 0, -1, -2, 0, -2, -2, 1, 1, 6, 4, 0, 1, 1, -1, -1, 0, -3, 0, 1, -1, 0, 2, 0, -1, -3, -1, -2, -2, 1, 1, 4, 6, 0, 1, 1, -1, -1, -1, -2, 1, 0, -1, 0, 2, -2, 0, -1, 0, 0, -1, -1, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, -2, -1, 0, 2, -1, 1, -2, 0, 1, -2, -2, 0, 1, 1, 0, 4, -1, 1, -1, 1, -1, 0, -1, -2, 1, -1, 1, 1, -1, -1, -1, 0, 1, 0, 1, 1, 0, -1, 4, 0, -1, -1, 1, -1, 0, 1, 0, 0, -1, 0, -1, 1, 1, -1, -2, 1, -1, -1, 1, 1, 0, 4, 0, 0, 0, -1, -1, -1, 0, -1, 1, -2, 1, 1, -1, 1, 0, 1, -1, -1, 0, -1, -1, 0, 4, -1, 0, 1, 1, 1, 0, 1, -1, 2, 1, 1, 2, 0, -1, -1, 0, -1, 0, 1, -1, 0, -1, 4, 1, 0, -2, -1, 1, -2, 1, 2, 1, 2, 2, 2, -1, 0, -3, -2, 0, -1, 1, 0, 0, 1, 6, 0, -2, 1, 0, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 0, 4, -1, 0, 0, -2, 1, -3, 1, -1, -2, 0, 2, 1, 1, 0, -2, -1, 0, -1, 1, -2, -2, -1, 6, 2, -1, -2, 1, -1, 2, 0, -1, 2, 2, 0, -1, -1, -1, -2, 1, -1, 1, -1, 1, 0, 2, 4, -1, 1, 1, 3, -2, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 0, 1, -2, -1, 2, 0, 0, -2, 0, 2, 0, -1, 2, 0, 2, 0, 0, 0, 2, 4, -1, -1, 0, 1, -1, 1, 2, 1, 0, -1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, -2, -1, 6, -3, -2, -2, 1, 3, 1, 1, -2, 1, 2, -1, -2, -1, -1, 2, -3, -2, 2, -1, 1, -1, -3, 6, 1, 1, 1, -3, -2, -2, 1, -2, -1, -1, 1, 2, -1, -1, 0, 1, -1, -1, 0, 0, -2, 1, 4, -1, -1, -1, 0, 1, 2, 0, -1, 0, 1, 1, -1, -2, 1, 2, -2, 0, 1, 1, -2, 1, -1, 4, -1, -1, -1, -1, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, 1, 1, -2, -1, 1, 1, -1, -1, 4, 0, -2, -1, 0, 0, 1, -2, -1, 1, -1, 0, -1, 0, 0, 0, -1, 1, 3, -3, -1, -1, 0, 4, 1, 1, -1, 1, 1, 0, -1, 0, -1, 1, 0, -1, 1, -1, 2, 2, 1, -2, 0, -1, -2, 1, 6, 2, -2, -1, 2, 1, -2, -2, 2, 2, 0, -2, 1, 1, 0, 1, 1, -2, 1, -1, -1, 1, 2, 4, -1, 0, 1, 0, -1, -1, 1, 1, 1, -1, 0, 0, 0, 0, -2, 1, 2, 0, 0, -1, -2, -1, 4, 0, -1, 1, 2, 1, -1, -2, 1, 2, -2, 0, -2, -1, 1, -2, 0, -1, 0, 1, -1, 0, 0, 4, -1, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, 1, 2, 1, -1, -1, 4, -1, -1, -1, 1, 1, 0, -1, 1, 1, 2, 1, -1, -1, 0, 0, -2, 0, 1, 0, 1, 0, -1, 4, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, -2, 1, 1, 1, -1, -1, -2, -1, 2, 0, -1, 0, 4, 0, -1, -2, 2, 2, -2, 0, -1, 0, -1, 2, 1, 1, 1, 0, -2, -1, 1, 0, -1, -1, 0, 4, -1, -1, -1, 1, 0, 0, 2, 1, -1, -1, -1, 1, -1, -1, 2, 1, -1, -1, 1, 1, -1, -1, 4, 1, 1, -1, 1, 2, 0, 0, 2, -1, -2, 0, 0, 1, 2, 1, -2, -1, 1, 0, -2, -1, 1, 4, -1, -2, 2, 0, 2, 2, -3, 0, 1, 0, -1, 0, 0, 1, 1, -1, 0, 1, 2, -1, 1, -1, 6, 1, -2, 0, 0, 0, -2, 1, 2, 0, 0, -1, -2, -1, 2, 0, -1, 0, 2, 1, -1, -2, 1, 4, -1, 0, 0, 0, 2, -1, -2, 1, 0, 1, 1, 0, -2, 0, 1, 0, -2, 0, 1, 2, -2, -1, 4, 0, 0, 0, -1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, -1, -1, -1, 0, 1, 1, 2, -1, 2, -2, -1, 0, -1, -1, 1, -2, 1, 1, 4, -2, -2, 1, 1, 1, 0, 1, 2, 2, -1, -1, 2, 0, 0, -1, -2, -2, 2, 1, -1, -1, -2, 4, 2, 0, -1, 1, 1, -1, 0, -2, 0, 0, 0, 0, -1, -1, 2, 1, -2, 0, -1, -1, -2, 2, 4, -1, 0, -1, 1, 0, 0, -2, 0, 1, 0, 0, 1, -1, 2, 1, -2, 0, 0, 2, 1, 0, -1, 4, 0, 0, -1, 1, 1, 0, 1, -1, 1, -2, 0, -1, 0, 0, 0, -1, 0, -1, 1, -1, 0, 0, 4, -1, 1, 2, 0, 0, -1, -1, -1, 1, 1, 1, 0, 1, 0, 1, 0, -1, 1, 1, -1, 0, -1, 4, 1, -1, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, 1, -2, -1, 0, 1, 1, -1, 1, 1, 4, 1, 0, -1, -2, 1, -1, 2, 1, -1, 1, 1, -1, 2, -2, 0, 1, -1, 0, 1, 2, -1, 1, 4, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 0, 2, -1, -1, -1, 0, 0, 0, 0, -1, 1, 2, -2, -2, 0, 0, 0, -1, 0, 0, 4, -1, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 2, -1, 0, 0, 1, -1, -1, -2, -1, 0, -1, 4, -1, 1, -2, -1, 1, 0, 0, 0, -2, 2, -1, -1, 0, 1, -1, -1, 0, 1, -1, 0, 0, -1, 4, -2, 1, 1, -1, 0, 1, 0, 1, -1, 2, 2, 0, 0, 1, -1, 0, -1, 0, 2, 0, 1, -2, 6, -2, -2, -1, 0, -2, 0, -1, 1, -2, 0, 0, 0, -2, 1, 1, 2, 0, -1, 0, -2, 1, -2, 4, 1, 0, -1, 0, 0, 2, -1, -1, 0, -1, 1, 0, 1, 0, 1, 1, -1, 0, -1, 1, -2, 1, 4, 0, 0, 0, 0, 1, 0, 0, -1, -1, -1, -1, 1, -1, -1, -1, -1, 0, 1, -1, -1, 0, 0, 4, 0, 1, 0, -1, 2, -1, -2, 2, 2, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, -1, 0, 0, 4, 2, -2, 0, 0, -1, -2, 1, 1, 0, 1, -1, 1, 0, 0, -2, 0, 1, -2, 0, 0, 1, 2, 4, -2, 0, 0, 1, 2, -2, -2, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 4, 1, 0, -2, 1, 0, 0, -1, 1, 1, 2, 1, 0, 0, -2, 1, -1, 2, 1, -1, 0, 0, 1, 4, -2, 1, -1, -1, 0, 0, 0, -2, -2, 0, -1, 0, 2, -1, 1, -1, 0, 2, 0, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, -2, -1, 1, -1, 0, 1, 1, -1, 0, -1, 0, 1, -2, 1, 0, 1, 0, -1, -2, 4, 1, -1, 0, 1, 1, 2, -1, 0, 1, 2, 0, 2, 0, -1, 2, 1, 1, 1, 1, 2, -2, 1, 4, -1, 2, -1, 0, 1, 1, 1, 0, 1, 1, 1, -1, -1, 2, -1, 0, 0, 0, 1, 2, -1, -1, 4, -1, 0, 1, 0, 0, 1, 1, 0, 1, 0, -1, 1, -2, 0, 1, 1, 1, 0, -2, 0, 2, -1, 4, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -2, -1, 0, -1, 1, -1, 1, -1, 0, -1, 4, 0, 1, -1, -1, 0, 1, -1, 1, 1, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 4, 1, -1, 0, 2, 0, 1, 0, -1, -1, 0, 0, 1, 2, 1, 1, -1, 2, 1, 0, 0, 1, 1, 4, 0, 0, 0, 2, -1, 2, 1, -2, 1, 1, 2, 0, 0, 2, 0, -1, 1, 0, 1, -1, -1, 0, 4, 1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, -2, -1, 1, 0, 1, 1, 0, -1, 0, 0, 1, 4, 0, 0, 1, 0, -1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 4, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, -1, 2, 1, 0, 0, 1, 0, 2, -1, 0, 0, 4, -1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, -1, 1, -1, 0, 1, 1, -1, 4, -1, -1, 0, 0, -1, 1, 1, 1, 0, -1, 2, 1, 0, 0, 1, 0, 2, -1, 0, 1, 2, -1, 4, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, -1, -1, 0, 1, -1, 1, 0, -1, 0, 0, -1, 0, 4, -1, 0, 0, 1, 0, -2, 1, 1, -1, -1, 1, 0, -1, -1, -2, -1, 0, 0, 0, 0, 0, -1, 4, 0, 0, -2, 0, 1, 0, -2, 2, 2, -2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 4, 0, 0, 0, 0, 2, 1, 1, -1, 0, -2, 0, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 4, 1, 0, 1, 0, 0, 1, 0, 1, -1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, -2, 0, 1, 4, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 0, 1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 1, 1, 1, -2, 1, 0, 1, 0, 1, 4, 0, -1, 2, 1, 0, 1, 1, 1, 2, -1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 1, 1, -1, -1, 1, 2, 1, -2, -2, 1, -1, 0, 0, 1, -1, 2, 1, 0, -1, 4, 0, 0, -2, 0, 2, 0, -1, 0, -1, 2, 2, 0, 1, -1, -1, 1, -1, 0, -2, 1, -2, 0, 4, -2, 1, -1, 0, 2, -1, -2, 0, 2, 2, -1, 0, -1, 1, -2, 0, -2, 0, 1, 2, 0, -2, 4, 1, 2, 0, -2, 0, 2, 0, -2, -1, 1, -1, 0, -1, 2, -1, 2, -1, 0, 1, -2, 1, 1, 6, 2, -2, -1, -1, 1, 2, -2, -2, 2, -3, -2, -1, 1, -2, 1, 2, -1, 1, 0, -1, 2, 2, 4, 0, -1, 0, 1, 0, -1, -2, 2, -2, 0, -2, 1, -2, 1, 1, 0, -1, 2, 0, 0, -2, 0, 4, -1, 1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 1, 0, -2, 1, -1, 0, 2, -2, -1, -1, -1, 4, 0, -2, 0, 1, 2, -1, 1, 0, 1, -2, 0, -2, 0, 1, 1, -1, -1, 0, -1, 0, 1, 0, 4, 0, 0, 0, -1, 0, 0, 2, 1, -1, 1, 0, 1, 0, 2, 0, -2, 2, 1, 1, 0, -2, 0, 4, 0, -2, -2, 2, -1, 0, -1, 2, -1, 2, -1, 0, 1, -1, 0, 0, 2, 0, 0, 0, 0, 0, 4, -2, -2, 0, 0, -1, 0, 1, 0, 0, 1, -1, -2, 2, 2, -2, -2, -1, 1, 1, 0, -2, -2, 6, 2, -1, 2, 0, 0, -2, 0, -2, 0, 2, -2, 2, 2, -1, -2, -2, 0, 2, -1, -2, -2, 2, 6, -1, 1, -1, 1, -1, 0, -2, -1, 0, 1, 0, -1, 1, 2, 2, 0, -1, 0, 2, 0, -1, -1, 4, -2, 0, -2, 1, -2, 1, 1, 0, -1, 1, 0, -1, -3, -2, 1, 1, 0, -1, 0, 2, 1, -2, 4, 0, 0, -1, 2, -1, -2, 1, 0, -1, -1, 0, -2, 0, 1, 0, 2, 0, -1, 0, -1, 0, 0, 4, 1, -1, 1, 0, 0, 1, 0, -1, 1, -1, -1, -2, -1, 1, 1, -1, 0, 0, 1, -2, 0, 1, 4, -1, 1, -1, 1, 0, 1, 1, -2, 2, 1, 1, 0, -2, -1, 2, 1, -2, -1, 1, -1, -1, -1, 4, -1, 2, 0, -1, -1, -1, 0, -1, -2, -2, 1, 0, 1, -1, 0, 0, 0, -2, 2, 1, 1, -1, 4, -1, -1, 0, 2, 0, -2, 2, 1, 1, 0, -2, 0, 2, 0, -2, -2, 1, -1, 0, -1, 2, -1, 4, 0, 0, 1, -2, 0, -1, 2, 1, -2, 0, 1, -1, 1, 0, -1, 1, -2, 0, 1, 0, -1, 0, 6, -2, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 2, 0, 0, 1, 1, 0, -1, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 2, -1, 1, 1, -1, 1, 0, 1, 1, 1, 1, -2, 0, 2, -1, -2, 0, 0, 0, 4, 0, 0, 0, 2, 2, 0, 1, -1, 1, -1, 1, 2, 2, 1, -1, -1, -1, 1, 1, 2, 0, 0, 4, 2, -1, 0, 0, 2, 1, 0, 1, 0, -1, 1, 0, 0, -1, 0, 2, 0, 1, 1, 0, 0, 2, 4, 0, 1, 0, 0, -1, -1, 1, -1, -1, 0, 1, 0, -1, 0, 1, 0, 1, 1, 2, 0, -1, 0, 4, 1, 0, 0, -2, -1, 1, -1, 2, 0, 0, 0, 1, 0, 0, 0, -1, 1, -1, 2, 0, 1, 1, 4, 0, -1, 0, -2, 2, -2, 0, 1, 1, 1, -1, -1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 4, 0, 1, 1, 1, 0, 1, 1, 2, 0, -1, 1, -1, 0, 1, 0, 1, 0, 2, 0, 0, -1, 0, 4, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, -2, 0, 1, 0, 4, 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, -1, -2, 1, 1, 1, 4, -1, 1, -1, -1, 0, -1, -1, 1, -1, -1, 1, -2, 0, 1, 1, 1, 1, 2, 1, -1, 0, -1, 4, -1, 1, 1, 1, 0, -1, 0, 1, 0, 1, 1, 1, -1, 0, -1, -1, -2, 0, 1, 1, 1, -1, 4, 0, 0, -1, -2, 1, 2, 0, -2, -1, -1, 1, 1, -1, -1, 2, 0, 1, 0, -1, -1, 1, 0, 4, 1, 1, 0, 1, 0, -1, 0, -1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, -1, 1, 0, 1, 4, 1, -1, 0, 1, 0, -1, 0, 1, 1, 2, 0, 1, 0, 1, 2, -1, 0, 0, 1, -1, 1, 1, 4, 0, -2, 0, -1, 0, 2, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -2, 0, -1, 0, 4, -1, -2, 0, 2, 0, 1, 0, -1, -1, -1, 1, -1, -1, 0, -1, -1, -1, 1, 1, 0, -2, -1, 4, 0, 0, 0, -2, 0, 2, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 2, 0, 1, 0, -2, 0, 4, 0, -2, 0, -1, -1, -1, 2, 1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 0, -1, 0, 0, 0, 4, 0, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -2, 0, -1, 0, 2, 0, -2, 0, 4, 1, 1, 0, 1, 1, 1, -1, 1, 1, 0, 1, 1, 1, -1, -1, 0, 2, 0, -2, 0, 0, 1, 4, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, -2, 1, -1, 0, 1, 1, 1, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 1, 2, -1, -1, -1, 0, 1, -1, 0, 0, -1, -2, -1, 0, 0, 0, 0, 1, 2, 4, 0, 0, 1, 2, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 2, 2, 0, 4, 0, -1, 2, -1, -2, 0, 0, 0, -2, 0, 1, 0, -1, -2, 1, 1, -1, 0, 0, 2, 0, 0, 4, 1, 1, -1, 0, -1, 0, 2, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, 1, 1, -1, 1, 4, 1, 0, 1, 0, -1, 0, 1, 1, 0, 0, -1, 1, 0, -2, 0, -1, 0, 2, 2, 2, 1, 1, 6, -1, -2, -2, -2, 0, -2, 2, -1, -2, 1, -2, -1, -2, 1, -2, 1, -1, 1, -1, -1, 0, -1, 4, 0, 1, -1, 0, 0, 1, 1, 1, 0, 0, 1, 1, -1, -1, 1, -1, 0, -2, 0, 1, -2, 0, 4, 1, 1, 0, 2, 0, -1, 0, 0, 1, 1, -1, -1, 0, -1, -1, -1, 0, -1, 0, -2, 1, 1, 4, 0, 0, 0, -1, 0, 2, 0, 1, 1, 1, -1, 1, 0, 0, -1, 0, 0, -1, -2, -1, 1, 0, 4, -1, 0, -2, -1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, -1, 4, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, -1, -1, 0, -2, 0, 1, -2, 0, 2, 0, 0, 0, 4, -1, 1, 0, 0, 1, 1, -1, -1, 0, -1, 0, 1, 0, 0, 1, 2, 1, 0, -1, -2, 1, -1, 4, 0, -1, 0, -1, 0, -1, 0, -2, 0, 0, 0, 1, -1, 0, -1, 1, -1, 0, -1, 0, 1, 0, 4, 1, -1, -1, 2, 1, -2, 0, -1, -1, -1, 0, -1, 0, -2, 1, 0, 2, 1, 0, 0, -1, 1, 4, 0, 1, 0, 1, -1, 1, 0, -2, 0, -1, -1, -1, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 4, 1, -1, -1, 1, 0, 1, -1, 0, -2, 0, 1, -2, 0, 1, 1, 1, 0, 1, -1, -1, 1, 1, 4, -1, 0, 1, 1, 1, 0, 0, 1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 0, 2, 0, -1, -1, 4, 1, -2, 0, -1, 0, -1, 1, 0, -2, -2, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 0, 1, 4, -1, 1, 0, 0, 0, -1, 1, 0, 1, -1, -1, -1, 0, 0, -1, 0, -2, -1, 1, 1, -2, -1, 4, 1, 1, 0, -1, 0, 0, -1, -2, -1, 0, 1, 2, -1, 0, -2, 0, 1, 0, 1, 0, 1, 1, 4, 0, 1, 2, 0, 0, 0, 1, 1, -1, 0, 0, -1, -1, 0, -1, 0, 1, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 2, 1, -1, -1, -1, 2, -1, -2, -1, -1, 1, -1, -1, 2, 1, -2, -1, -1, -2, 4, -1, 1, -2, -1, 1, 2, -1, -2, -1, 2, 0, 0, -2, 1, 0, -2, -2, 2, 0, -1, 0, -1, 4, 1, 1, 0, 1, 1, 2, 0, -1, 0, -1, -1, 1, -2, 1, 0, -1, 0, 1, 0, 0, 1, 1, 4, -1, 1, 2, 1, 0, -2, -2, 1, -2, -2, 1, -1, -1, -1, -1, 1, -1, -2, 2, -2, 1, -1, 4, 0, -1, -1, 1, 2, 1, -2, 0, 0, 0, 0, -1, 2, 1, -2, 0, 0, 1, -1, 0, 1, 0, 4, 1, -1, -1, -1, 1, -1, 0, 0, 1, -1, 1, 1, 1, -1, -1, 0, -1, 1, 1, 2, -1, 1, 4, 0, 0, -2, -1, 1, 0, 0, 1, -1, 0, -1, -1, 1, 1, -1, -1, 2, 1, 1, -1, -1, 0, 4, 0, 0, -2, 2, 0, 0, -1, -1, 1, -2, -2, 2, 0, 0, -1, -1, 2, 0, 1, -1, 0, 0, 4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, -2, 0, -2, 2, -1, -2, 0, 1, 6, 1, -1, 0, 0, 1, -1, -1, 1, 0, -1, 0, 0, -1, -1, -1, -2, 1, 1, -1, -2, 1, 1, 6, -2, 1, 1, -1, 1, 1, 2, 2, -2, 0, 1, -2, 2, 0, 1, -2, -1, 1, 2, 0, -1, -2, 4, 0, 1, 0, 0, 0, -2, -2, 2, 0, 0, -1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 1, 0, 4, 2, -1, 1, 1, -1, 0, 0, 1, 2, -1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, -1, 1, 1, 0, 0, 0, 1, 2, 1, -2, 1, 1, 0, 1, 1, -1, 1, 1, -1, 0, -1, -1, 4, -2, -1, 0, 1, 0, -1, 0, -1, 1, -2, -1, 0, -1, -1, -1, 0, -1, 1, 0, 1, 1, -2, 4, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 1, 1, -1, 0, 4, 0, 0, 0, 1, 2, 2, -2, 0, -1, 2, 1, -1, -2, 0, 1, 2, -2, -1, 0, 0, 0, 0, 4, 2, -2, 0, 0, 1, -2, -1, -1, 1, 1, -1, -2, 0, 0, 2, -2, 0, 0, 1, 0, 0, 2, 4, -2, -1, 1, -2, 2, 0, 1, -2, -1, 1, 2, 0, -1, -2, 2, 0, 0, 0, 0, 0, -2, -2, 4, 1, 0, -1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, -1, 1, 4, 0, -1, -1, 0, -2, 0, 0, -1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 2, -1, 1, 2, 1, -1, 1, -1, 1, 1, 1, 0, -1, -1, 2, 1, 1, 0, 2, 4, 1, -1, 0, 0, 1, 2, 1, -1, 1, -1, 1, 1, 2, 0, -1, -1, 1, 1, 0, 0, 1, 1, 4, -2, 2, 1, 0, 0, 2, 0, 0, -2, -1, 0, 0, -1, 1, 0, 0, 0, -1, 1, -1, -1, -2, 4, -1, 0, 0, 0, 0, -1, 0, 2, 1, -1, 0, 1, 0, 0, -1, 0, 1, 0, 2, 0, 2, -1, 6, 0, 2, 1, 1, -1, 2, 0, -1, 0, 1, 1, -1, -1, 1, 1, 2, -1, -1, 0, 1, 0, 0, 4, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, -1, -1, -1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 4, 2, -1, -2, 2, 0, 1, 1, 1, 2, -1, 0, 0, 0, 1, -2, 2, 2, 0, 0, 1, 0, 2, 4, 1, -1, 1, 0, 2, 2, 2, 1, -2, 0, 0, 0, 2, -1, 1, 1, 2, 0, 1, 1, -1, 1, 4, 0, -1, 0, 0, 0, 1, -1, 0, -1, 0, 1, 0, 1, -1, -1, 0, -1, -1, 1, -2, -1, 0, 4, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, -1, -2, 4, 1, 1, 0, 1, 0, -1, -1, 1, 1, 2, -2, -1, -1, -2, 2, 0, 0, 0, 0, 0, -1, 1, 4, 0, 0, 0, 0, 0, 0, -1, 0, 2, -1, 1, 1, -1, 1, -1, 1, 1, 2, 0, 0, 1, 0, 4, 1, 1, 0, -2, -1, 1, 1, 1, 0, 1, 1, 0, -1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 4, 1, 0, -2, 1, 0, -1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 4, 1, -2, -2, 0, 1, 2, 0, 0, 0, -1, 1, 1, 0, 2, 1, -1, 0, 0, 0, 0, 0, 1, 4, 0, 0, -1, 0, 1, 0, -1, -1, 1, 0, -1, -1, -1, -2, 0, 0, -1, 0, -2, -2, -2, 0, 4, 1, -1, -1, -2, 1, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, 1, -2, 0, 1, 4, -1, -2, 0, 0, 2, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, -1, 1, 0, 0, -1, -1, -1, 4, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, -1, 1, 0, -1, -2, 1, 4, 1, 0, 1, 0, -1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, -2, 0, 0, 1, 6, -1, 0, 0, 1, 0, -1, 1, -2, -1, 1, 2, -2, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 1, -2, -1, 2, 1, 1, 1, 1, -1, -1, 1, 1, -2, -2, 1, 1, -1, 1, -1, -1, 4, 1, -2, 1, 2, 0, 0, -1, -2, 0, -1, 0, -2, 1, 1, 0, -2, -2, 2, 0, -1, 1, 1, 4, 0, 0, 1, 0, 0, 0, -1, -1, 1, 1, -1, 0, 1, 0, -2, -1, 0, 1, -1, 1, -2, 0, 4, -1, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, -2, -1, -1, -2, 1, 0, -1, 4, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, 0, 0, -1, 2, 1, 0, 0, 4, -1, -1, 0, -2, 0, 0, -1, -2, 0, 1, 0, -2, -2, 0, -1, 0, 2, 0, 0, 1, 0, -1, 4, 0, 1, 0, 2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, -1, 0, 4, -1, 1, 0, -1, 1, 1, -1, -1, 0, 2, 1, 1, 1, 1, 1, -1, 0, 0, 0, 0, 1, -1, 4, 1, 0, 1, -1, 1, 0, -1, 0, -1, 1, 0, -1, 0, 1, -2, -1, 0, 0, -2, 0, 1, 1, 4, -1, 0, 0, 2, -1, -1, 0, 2, 2, 0, 1, 1, 1, 0, -1, 1, 0, 0, 2, 0, 0, -1, 4, -1, -1, 0, 1, -1, -2, 1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, -2, -1, 1, 0, -1, 4, 0, 0, -1, 1, 2, 0, 0, 0, 0, 0, -1, 0, 1, -1, 2, -1, 0, 1, -1, 0, -1, 0, 4, 0, 0, 1, 1, -1, 0, 1, 1, 0, 1, -2, -1, 0, 0, -2, 0, 1, 1, 2, 0, 0, 0, 4, 0, -1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, 0, 0, 4, -1, -1, 0, -1, 0, 1, -1, -2, 1, 1, -1, 2, 1, -2, -1, -1, -1, -1, 1, 1, -1, -1, 4, 1, -2, -1, 1, 0, 0, -2, 0, 0, -1, 0, 0, -2, 0, 0, 0, -2, 2, 1, 0, -1, 1, 4, 0, 0, 0, 0, 0, 1, -2, -2, 0, -2, -2, 0, 2, -1, 2, 1, 0, -1, 2, 0, -2, 0, 6, 2, -1, 2, 2, 1, -2, -1, 0, 0, -2, 0, 1, 1, 2, 0, 0, 0, 2, -1, -1, 0, 2, 4, 0, 0, 1, -1, 2, 0, -2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 4, 0, 0, 1, 0, 1, -1, 0, -1, 0, 1, -1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 4, 0, -1, -1, -1, -1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 2, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 0, 2, 1, 0, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -2, 1, 1, 0, -1, -1, 4, -1, -1, 0, -2, -1, -1, 0, -1, -1, -1, 1, -1, 0, 0, 1, 0, 1, -1, -1, 2, -1, -1, 4, 1, -1, 0, -1, -1, 1, -1, -1, 1, -1, -1, 1, -2, 0, 1, -1, -1, 0, -2, 0, -1, 1, 4, -2, 1, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, -2, 2, -1, 0, -1, 1, 2, 0, -1, -2, 4, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, -2, 0, 1, 1, -2, 1, -2, 0, 1, 0, 4, 0, 2, 0, 0, 0, 0, -1, 2, -1, 0, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 4, -1, 0, 2, 0, -1, 0, 0, 1, 1, -1, 0, 0, 0, 1, 1, 1, -1, -1, 0, 1, 2, -1, 4, 0, 0, 1, 0, -1, 2, -2, 1, -1, 0, -1, 1, 1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 4, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 1, -1, -1, 0, 1, 0, 2, 0, 0, 4, 2, 0, 1, 1, 0, 1, 0, -1, -1, 2, 0, 0, 1, -1, -1, 0, 1, 0, 0, 1, 0, 2, 4, 0, 1, 0, 0, 1, 0, -1, -1, 2, 0, 0, -1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 0, 4, 1, 0, -1, -2, 0, 1, -1, 0, -1, -2, -1, 1, -1, -1, 0, -1, 0, -1, 0, 1, 1, 1, 4, -1, 1, 0, 1, -1, 1, 1, -1, 1, 1, -1, -1, 0, 1, 2, 0, 2, 0, 1, 0, 0, -1, 4, -2, 1, -1, 0, -1, 1, 1, 0, -1, 0, 1, -1, 0, -1, 1, -2, 0, 0, 0, -1, 1, -2, 4, -1, 0, -1, 1, 0, 0, 0, 1, 0, -2, -1, 0, 0, 1, 1, 1, 1, 1, -2, 0, 1, -1, 4, 1, -1, 0, 1, 1, 2, 1, 1, 0, -2, 1, -2, -1, -1, 1, 0, 0, 0, 1, -1, 0, 1, 4, -2, 1, 0, 0, -1, -2, 0, 1, 2, -2, 1, 0, 0, -1, -1, -1, 1, -1, 0, -1, -1, -2, 4, -1, -1, 0, 1, 1, 1, -1, -1, 0, 0, 0, -1, 1, -1, -1, -1, 1, -1, 1, 0, 1, -1, 4, -1, -1, 1, 1, -1, -1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, -1, -1, 4, 1, 0, 0, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0, -1, 1, 4, -1, -1, 2, -2, 1, -2, 0, 1, 0, 0, 0, 0, -2, 1, 0, 0, 2, -1, 1, 1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, -2, 0, -1, 2, 0, 0, -1, -2, 1, 0, 2, 2, -1, -2, 0, -2, 0, -2, -1, 4, 1, 2, 2, 1, 2, -2, -1, 1, -1, 1, -2, -1, 0, -1, 2, 0, -1, 2, -1, 2, 0, 1, 4, -1, -1, 2, 1, -2, -2, -1, -2, 0, 0, -2, 0, 1, 1, 0, -2, 0, 1, 2, -1, 2, -1, 4, 1, 0, 0, -1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 2, 0, 1, -2, 2, -1, 1, 4, -1, 1, -1, 1, 2, 1, 2, -1, 1, 0, -2, 1, 0, 1, 1, -2, 1, 0, 1, 2, 0, -1, 4, 2, 0, -2, -2, -1, -1, -1, -2, 0, 0, 2, 1, -2, 0, 2, 0, -1, 2, 1, 0, 1, 2, 6, 1, 0, -1, -2, 0, -2, -1, -1, -2, 4, 2, -1, 2, 2, -1, 2, -2, -2, -1, -1, 0, 1, 6, 1, -1, 0, -2, 0, 0, 1, 0, 1, 0, 0, -1, 0, -3, 0, -1, -2, 0, 1, -2, 0, 1, 4, 0, 0, 1, 0, 2, 0, -1, 0, -1, 2, 0, 0, -1, 0, 1, -1, 0, 2, -2, -1, -1, 0, 4, 1, 1, 1, 1, 1, -1, -1, -1, 1, 0, -2, 1, -1, -1, -2, 0, 1, -1, -2, 0, 0, 1, 4, 1, 0, 1, -1, -1, -2, 0, 1, -1, -1, 0, -2, 1, 0, 1, 2, -1, 0, -2, 1, 1, 1, 4, -1, 1, -1, -1, -1, 0, 1, 1, 0, 2, 1, -2, 0, -2, -1, -1, -2, 0, 0, 1, 0, -1, 4, 1, 1, 1, -2, 0, 1, -2, 0, 0, 0, -1, -2, 0, 1, -2, -1, 0, 2, 1, 1, 1, 1, 4, 1, 0, -1, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, -1, 1, 1, 4, 1, 0, -1, 0, -1, 0, 0, 2, -1, 1, 0, -2, 0, -2, 0, -1, -1, -1, -1, 1, 0, 1, 4, -2, -1, 0, -1, 0, 0, -1, 2, 1, 0, 1, 2, 4, 1, 0, -1, -2, -1, -2, -1, 0, -2, 6, 1, -1, 2, 0, -1, -2, 0, 0, 0, 0, 1, 2, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1, 4, 0, 1, 2, 0, 0, -1, -2, 0, 1, -2, -1, 0, 2, 1, 1, 1, 1, 2, 0, 0, -1, 0, 4, 0, -1, -1, -2, 2, 0, 2, 1, 0, 2, -1, 0, 0, -1, 1, -2, 0, -1, -1, 2, 1, 0, 4, 0, 1, 0, -1, 1, 0, -2, 2, 2, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 6, -1, -2, 2, 2, 1, 1, 0, -1, -3, -1, 1, 0, 2, 0, -1, 0, 0, -1, 0, -1, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 1, 2, -1, 2, -1, 2, 1, 0, 2, 1, -1, -2, 2, 0, -1, 2, 2, -2, -2, 0, 4, 1, -1, 0, 2, 0, -1, 0, -1, -1, -1, -2, 0, 1, -1, -1, 1, -1, 1, 1, -2, 0, 1, 4, -2, -1, 0, 1, 1, -1, -2, 1, 1, 0, -1, 2, -1, 0, -1, -1, -1, 2, -2, 1, -1, -2, 4, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, -2, 1, 0, 0, 1, 1, -1, 2, 2, 0, -1, 0, 4, -1, 0, 0, 2, 1, -1, 1, -1, -1, -2, 2, 0, 1, 2, 2, -1, -2, -1, 2, 0, 0, -1, 4, 0, -1, -1, 0, -1, -1, 0, 0, 2, -2, -1, 1, -2, -1, 2, 0, 2, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, -1, -1, -1, -1, 1, 0, 0, -1, 0, 4, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, -1, 1, 2, -1, 0, 0, 4, 0, -1, 0, -1, -1, -2, 2, 0, -1, 2, 2, -1, 0, 1, -1, -2, 2, 1, 0, 0, 0, 0, 4, 1, 0, 1, 1, -2, 1, 0, 1, 1, 1, -1, 1, 0, -1, 1, 1, -1, -1, 0, 2, -1, 1, 4, 1, 1, 1, 0, 0, 1, -1, 0, 0, 0, 1, 2, -1, 1, 1, 1, -1, 1, 0, 0, 0, 1, 4, 1, -1, 0, 1, 1, -1, 1, 0, 0, -1, 1, -2, 0, 1, -1, 0, 1, 0, -1, 1, 1, 1, 4, 0, 0, 0, 0, -1, 0, -1, -1, 1, -1, 0, -1, 1, -1, 0, -1, 1, -1, 1, 1, -1, 0, 4, -1, 0, 0, 1, 0, 0, -1, 1, -2, 1, 2, -2, -2, 2, -1, 0, -2, -2, 0, 0, 0, -1, 6, -3, 0, -1, -3, -2, 2, -1, 2, -1, -1, 1, 2, -2, 0, 0, 2, 1, 0, 1, 0, 0, -3, 4, 0, 0, 2, 2, -1, 0, 0, -1, 0, 0, 0, -1, -1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 4, -1, 1, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, -1, 1, -1, -1, -1, 1, -1, 0, -1, 4, 0, 0, 1, 0, 2, -1, -1, 1, 2, -2, 0, 0, 2, 1, 0, 1, 0, 0, -3, 2, 1, 0, 4, 2, -2, 0, 2, 1, -1, 1, 2, -1, 0, 0, 2, 1, 0, 0, -1, 0, -2, 2, 0, 0, 2, 4, -2, -1, -2, 1, 2, -1, -1, 2, -1, 0, -1, -1, 0, 0, -1, -1, 2, -1, 0, 1, -2, -2, 6, 0, -2, -2, -2, 2, -2, 0, -1, 1, 0, 1, 1, -1, 1, 1, -1, 0, 1, 0, 0, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, -1, 2, 1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 1, 2, 1, -1, 2, 4, 1, -1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, -1, 0, -1, 1, -1, 2, 2, 1, 0, 1, 4, -2, -1, 2, 1, 2, -1, 2, -1, 2, -1, 2, -2, 0, -2, 2, 1, 1, -1, -1, 1, -1, -2, 4, 0, -2, 0, -2, 1, -2, 1, -1, 1, 0, 2, 0, 2, -2, 1, 0, 1, -1, 2, 2, -1, 0, 4, -1, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 2, -2, -1, 4, -1, 0, 0, 0, 0, 2, 0, 1, -1, 1, -2, 1, 1, 0, -2, -1, 2, 2, 1, 0, 0, -1, 4, 1, 0, 2, 0, -1, 0, 1, -1, 0, 0, 1, -1, 2, 2, 1, 1, 2, 2, -2, 1, 0, 1, 4, -1, 2, -1, 1, 0, 1, -1, -1, -2, 1, 0, 1, 1, 0, -1, 0, -1, 1, -1, 0, 0, -1, 4, 0, 1, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0, 1, 1, 2, 2, -2, 1, 0, 2, 2, 0, 6, -1, -1, -2, 1, -2, -1, -1, 2, 0, 0, 0, 2, -1, 0, -1, 1, -1, 0, 0, -1, 1, -1, 4, -1, 1, -1, 2, -1, 0, 0, -2, -1, 1, 2, -1, 1, 2, -1, 0, 2, -1, 1, 0, -1, -1, 6, 2, 1, -1, 0, -2, 0, 2, 1, -1, -1, 1, 2, -1, 1, 1, 0, 0, 0, 1, -2, 1, 2, 6, -1, 0, 0, 1, 0, 1, 2, 2, -1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, -1, 1, -1, 4, -1, 0, -1, 0, 1, 1, -1, -1, 0, -1, -2, 2, 0, -1, -1, -1, 0, -2, 2, -1, 0, -1, 4, -1, 0, -1, -1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, 0, -1, 4, 1, -1, 0, 1, 0, -2, 0, -1, -2, 2, 0, -2, 0, -2, 1, -1, 0, -2, 1, -1, 0, 1, 4, -1, 0, 0, 1, -1, 0, 1, 2, -2, 0, 1, 1, 1, -1, 2, 0, 0, 0, 0, -1, -1, -1, 4, 0, 0, 0, 1, 1, -1, 1, 1, 0, 1, -1, 0, 0, 0, -2, 2, 1, 1, -1, 0, 0, 0, 6, 1, -2, -3, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, -1, 1, 2, 1, -1, 1, 0, 0, 1, 4, 1, -1, 1, 2, -1, 1, 1, -2, 2, 1, 0, 0, 1, -1, 2, -1, 0, 0, 1, 0, -2, 1, 6, 0, -1, 1, -1, -1, 0, -1, 1, 0, 1, 2, 2, -1, -1, -1, 1, -2, -1, 1, -3, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, -1, 2, -1, -1, -1, 1, -1, -1, 1, -1, -2, 1, -2, -1, 2, 1, 1, 2, 4, 1, -1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, -1, -2, -1, 0, 1, 2, -1, 2, 0, 1, 4, -2, -1, -1, 1, -1, -1, -1, -2, 2, 2, 2, 0, -1, -1, 2, 2, 1, -2, 2, 1, -1, -2, 4, 0, 1, 0, -1, 1, -1, 2, -1, -1, 0, 0, 0, 1, -1, -1, 0, 1, -2, 2, 2, -1, 0, 4, -1, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 1, -1, 0, -1, 1, -1, 4, 1, 2, 1, 2, 0, -1, -1, -1, 1, -1, -2, 1, -1, 0, -1, 0, 2, 2, 1, 0, 0, 1, 4, 0, 0, 1, 0, -1, -1, 1, -1, -2, -1, 0, -1, 2, -1, 2, -1, 1, -1, -1, 0, 2, 0, 4, 1, 2, 0, 0, 0, -1, 1, -1, -2, 1, 0, 0, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 4, 2, 0, 0, 0, 0, -1, 1, -1, 1, 1, 0, -1, -1, -1, 1, -1, -1, 0, 2, 1, 2, 2, 6, 0, -2, -2, -1, -2, -1, -3, 2, 0, -1, -1, 2, 1, 0, -2, 2, 1, 0, 0, 0, 0, 0, 4, -2, -1, -1, 0, -1, 1, -2, -2, -1, 1, 0, -1, 1, 2, -1, 0, -1, -1, 0, 0, -2, -2, 6, 4, 1, 0, 0, 0, 2, 4, 1, -2, 0, -1, 1, 2, -1, 0, -1, -1, 0, 0, -2, -1, 4, 6, 0, 1, 0, 0, 1, 4, 1, -1, -1, 1, 1, 2, 0, 0, -1, 1, -1, 0, -1, -1, 1, 0, 4, -1, -1, 0, 1, 1, 1, -2, 1, -1, -1, 0, 0, -1, 1, -1, 1, -1, -2, 0, 0, 1, -1, 4, 0, 0, 0, -1, 0, 0, -1, -2, -2, -1, 0, 0, -1, -2, -1, 1, -1, -1, 0, 0, -1, 0, 6, 2, -1, 0, -1, 1, -3, 1, -1, -1, 1, 1, -2, -1, -2, -1, -3, 1, 0, 0, 0, 0, 2, 4, -3, -1, 0, 2, -2, -2, 0, 2, -1, -1, 1, 0, 1, 1, 2, -2, 2, 1, 1, 0, -1, -3, 6, 3, -1, -3, 2, -1, 1, 2, -1, 0, -1, -1, 0, 1, 0, -2, 4, 4, 1, -1, 0, -1, 3, 6, 1, -2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, -1, -1, 1, 1, 1, 0, -1, 0, -1, 1, 4, 0, 0, 1, -1, -2, 1, 0, -1, -1, -1, -1, -1, 1, -2, -1, -2, 0, 1, 2, -3, -2, 0, 6, -3, 1, 2, 2, -2, 1, 0, 2, 0, -1, 2, 0, 0, -1, 1, -1, -3, -2, 2, 0, 0, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 0, -1, 2, -2, 2, 2, 0, 2, 2, -1, 0, -1, 1, -1, 2, 1, 1, -1, -1, 1, 6, -2, 2, 2, 1, -3, -1, 1, 1, 1, 1, -3, 1, -3, 3, 2, 1, 3, 3, -2, -3, 2, -2, 6, 1, 0, 2, 0, 3, 2, -2, 2, 2, -1, -2, 1, 0, 0, 2, 1, -1, -1, 1, 0, 2, 1, 4, 1, 1, 0, 0, 1, 0, 1, 0, -2, 0, -2, 2, 1, 1, 1, 2, -1, -2, -1, 2, 0, 1, 4, -1, -1, 0, -1, -1, -1, 1, -2, -1, 0, 1, 1, -1, 1, 0, 0, 0, 2, 1, 2, 1, -1, 4, -2, 1, 2, 0, 2, 0, -1, 0, -1, 1, 1, 2, 2, 1, -1, -1, -2, -3, 0, 0, -1, -2, 4, -1, -1, 0, -1, -1, 2, 0, 1, -1, -1, -1, -2, -1, 1, 1, 2, -1, 3, 0, 0, 1, -1, 4, 1, -1, 1, 1, -1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 2, 1, 2, 1, -1, 2, -1, 1, 4, -1, 2, 2, 0, 0, -2, 1, 0, 2, 1, 2, -2, -2, 0, 1, -2, 0, -1, 0, 0, -1, -1, 4, 0, -2, 0, 2, 0, 0, 0, 0, -1, 0, 1, 0, 2, 1, 2, 1, -1, 2, -1, 1, 2, 0, 4, 1, 0, -1, -2, 1, 0, 2, 1, 1, -2, -1, 2, 1, 2, 0, 1, 0, -1, 1, 2, -2, 1, 6, 0, 0, -2, 0, 0, 1, 1, 2, -1, -2, -1, -3, -1, -2, -2, -1, 2, -1, 0, 0, 0, 0, 6, 0, 0, -3, -2, 0, -3, 0, 0, 0, 0, 1, -2, 0, -1, 0, 0, -1, 0, 2, -1, 0, 0, 4, 0, 0, 0, 0, -1, 2, 1, -2, -1, -3, 1, -2, 0, -1, 1, 0, -2, 0, -2, -2, 0, 0, 6, -2, 0, -1, -1, -4, 1, 4, 1, 3, 0, 2, 1, 1, -1, 0, 1, 0, 1, 0, -3, 0, -2, 4, 1, 1, 2, 2, -1, -2, -1, 2, 0, 1, 1, 1, -1, -1, 0, 0, 0, 0, -2, 0, 0, 1, 4, 0, 2, 0, -1, 0, 2, 1, 2, 1, -1, 2, -1, 1, 2, 0, 2, 1, 0, 0, -1, 1, 0, 4, 1, 2, -2, -1, 1, 3, 1, 1, 1, 2, -2, 1, 1, -1, 1, 1, -3, -1, -1, 2, 2, 1, 6, 1, -2, -1, 1, 3, -1, 2, 0, 1, -1, 0, 2, 0, 1, 2, 0, 2, -4, 2, 0, 2, 1, 6, -1, -4, -1, -2, -1, -1, 0, -1, 1, 0, -2, 1, -2, -1, 0, 1, 1, -1, -1, -2, -2, -1, 4, 1, -1, -3, 1, -2, 0, -1, 1, 0, -2, 0, -1, -2, 0, -2, 4, -2, 0, -1, -1, -4, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, -1, 0, -1, 0, -1, -1, 0, 1, -1, 2, -2, 1, 2, 1, 1, 0, -1, -2, -1, 4, 0, 2, -1, 1, -1, 0, -1, 2, 1, -1, 0, -2, 0, 1, -2, 1, 0, 1, -1, -1, -2, 0, 4, -1, 2, 0, 1, -1, 1, 1, 0, 0, 0, -1, 2, 0, 0, -1, -1, 0, 1, 0, -1, 2, -1, 6, -3, 1, -2, 1, 1, -1, 1, -2, 0, 1, 2, -1, -2, 2, 1, 1, -2, -1, -1, -1, 2, -3, 6, -2, 1, -2, 1, -1, -2, 1, 0, -2, -1, -1, 1, -1, -2, -2, 1, 2, 0, 1, 0, 1, -2, 4, 1, -1, 1, 2, 2, -1, -1, 1, 2, 2, -1, 0, 2, 2, 0, -2, -1, -1, 1, -2, 1, 1, 4, 0, 1, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 0, 2, 0, 0, 0, -1, 1, -2, -1, 0, 4, 0, 0, -1, -1, 1, -1, -1, -1, -1, 0, 0, -1, 0, 1, -1, -1, 1, 1, 1, 1, 1, 0, 4, 0, -1, -1, -1, 0, 2, -1, 0, 0, 0, -1, 0, 0, -1, 2, 1, -1, -1, 2, 0, 0, 0, 6, 1, -1, 0, -2, 0, 2, -2, -1, 1, 1, 1, -1, 0, 1, 0, 1, -2, 2, 0, -1, -1, 1, 4, -1, 0, 2, 2, 2, -1, 0, 1, 2, 0, -2, 1, -1, 0, -2, 1, -1, 0, -1, -1, -1, -1, 4, 0, 0, -2, -1, 2, 1, -1, -1, 0, 1, -1, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0, 4, -1, 0, -1, 0, -1, 1, 0, 1, 2, 2, -2, -1, 1, -2, 1, -1, -1, 0, -2, 2, 0, -1, 6, 1, 1, 1, 1, 1, 1, -1, -1, -2, 0, 2, 2, -1, 2, 1, -1, 2, 0, 2, -2, 0, 1, 6, 1, -1, -1, 1, 2, 1, -2, 1, 1, 0, -1, -1, 2, 0, -1, -1, 2, 2, -1, -1, 1, 1, 4, -1, 0, 1, 2, 0, -2, 2, -2, 0, -2, 1, -1, 0, -1, 0, -2, -1, 2, 0, 1, -1, -1, 4, 0, 0, -1, 0, 0, 1, 1, -1, 2, -1, 0, -2, 0, 0, -1, 0, 1, -1, 1, -1, 0, 0, 4, 0, 0, -2, 0, 1, 0, -1, 1, -2, 2, -1, 0, 0, 1, 1, -1, 1, 1, 1, 1, 0, 0, 4, 1, 0, -1, 0, 1, 0, 1, -2, 2, 0, -1, -1, 1, 2, -1, 0, 1, 2, 2, -1, 0, 1, 4, 1, -2, -1, -1, 1, -2, 1, 0, 2, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, -2, 0, 1, 4, 0, -2, -1, 0, -1, 2, -2, 0, 1, 0, -1, -2, 1, 2, -1, -2, -2, 0, 0, -1, -2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, -1, 1, 1, 2, 2, 1, 2, -1, 1, 2, -1, -1, -1, -1, 0, 1, 1, 2, 0, 4, -2, -2, 1, -1, 2, -1, -2, 2, -1, 0, -2, -1, -2, 0, -2, 2, 0, 2, -2, -1, 1, -2, 4, 2, -1, 2, 0, 1, 2, 0, 1, -1, 0, 1, 2, 0, 2, -2, -1, 0, 0, 1, -1, -2, 2, 4, 0, 0, -1, 1, 1, -1, 1, 0, 1, 1, 1, 1, 2, -1, -1, -1, 1, -1, -1, 1, -1, 0, 4, -1, 1, 0, 0, 1, 0, 2, 0, 0, -1, -1, -1, 0, 1, 1, 0, -1, 1, -1, 2, 0, -1, 4, 0, 1, 0, 0, 1, -2, 1, 1, 0, -1, 1, -1, -1, 0, 1, 2, 1, 2, 0, -1, 1, 0, 4, 1, 1, 2, 0, 1, -1, 0, -1, 0, -1, 0, 0, 2, -2, 0, 2, -1, 1, 1, 0, 1, 1, 4, 2, 0, 2, 0, 1, 2, 0, 0, 0, -1, -1, 0, 2, 1, 2, -2, 2, 1, 0, 0, 1, 2, 6, -1, 1, 0, 2, 1, 0, -1, 1, -1, 1, -1, 1, 1, 1, 2, 0, -1, 1, 0, 2, 0, -1, 4, 0, 1, -1, 1, 0, 0, -1, 0, 0, 2, -2, 0, 2, -1, 1, 1, 0, 1, 0, 2, 1, 0, 4, 0, 1, 2, -1, 0, 0, -2, -1, 0, 2, 1, -1, 0, -1, 0, 2, -2, 1, 0, 0, 1, 0, 6, -2, 0, 2, 2, 1, -1, 2, 1, -2, -2, 1, -2, 0, 1, 0, 1, -1, 1, 2, -1, 1, -2, 6, 1, -1, -2, 0, -1, 1, -1, 3, 2, 2, -1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 4, -1, 0, 0, -1, -1, 0, 2, 1, -1, -2, 2, 1, -1, 0, -1, 0, 0, 0, -1, 2, -1, -1, 6, 1, 2, -2, 1, 0, -2, 0, -1, 0, 0, 1, -1, -1, 0, 0, -1, 0, 0, 2, -2, 0, 1, 4, 2, 0, -1, 0, -1, -1, -1, -2, 2, 2, -1, 1, -1, 0, 1, -1, 0, 1, 0, 0, 2, 2, 4, -1, 0, -1, 0, 0, -1, 2, -2, -1, 0, -1, 0, -1, -1, 0, -2, -1, -1, -1, -2, 0, -1, 4, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, 0, -1, 1, 0, -1, 2, 1, -1, 1, -1, 0, 0, 4, 0, -1, 0, 1, 2, 0, -1, 1, 0, 2, 0, -1, 2, 0, 1, -1, 0, 0, 0, -1, 0, 0, 4, -1, 0, 1, -2, 0, 1, 0, 1, -2, 2, 1, -2, 2, -2, 3, 2, -2, -1, 0, 0, -1, -1, 6, 1, 2, -1, 1, -1, -1, 2, 0, 1, 1, 0, 1, -2, 2, 1, 0, -1, 0, -1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 1, 0, 2, -2, 0, 1, -1, 0, -2, 1, 2, 0, 2, 1, -2, 0, 2, -2, 4, -2, 2, -1, -1, -1, -1, 2, 1, -1, 1, -1, 2, 0, -1, 0, -2, -1, 2, 0, -1, 2, -2, 4, -2, 0, 0, 1, 2, -2, -1, 1, 0, 1, -1, 1, 1, 1, 2, 0, -2, -1, 1, -1, 2, -2, 4, 1, 0, -2, -2, 2, 1, -1, 1, -1, 1, -1, -1, -1, -2, -1, 2, 1, -1, 1, -1, 0, 1, 4, 0, -1, 1, 0, -1, 0, -1, 1, -1, -1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 4, 1, 1, -1, 1, -1, 0, -1, -2, 1, 2, -2, 1, 0, -1, 2, 1, 0, -1, 1, -2, -1, 1, 4, 0, -1, 0, -1, 1, 0, -1, 0, 0, 1, 1, -1, -1, -1, 1, 2, -1, 2, -2, 1, 1, 0, 6, -2, -2, 1, -2, 2, -1, 2, 2, 0, 2, 2, -2, 0, 1, -2, 2, -2, 2, 0, -1, -1, -2, 4, 0, -1, 0, -1, 1, -2, -2, -1, -2, -1, 2, 0, -2, 0, 1, -1, 1, -1, 1, 0, -2, 0, 4, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 1, 1, 1, -1, 1, -1, 0, -1, -1, 1, -1, 0, 4, 0, 2, 1, 0, 1, 0, 2, 2, -1, 0, 1, -1, 1, 0, 1, -1, 0, 1, -2, 0, 1, 0, 4, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, -1, 1, -1, 0, 2, -1, -1, 2, 0, 4, 1, 0, 0, 0, 1, 2, -1, 0, 1, -2, 2, -1, 1, -1, -2, -1, -1, 1, 1, 1, 1, 1, 4, -1, -1, 0, -1, 0, 1, 0, 0, 1, 0, 1, -1, -1, 1, 0, 2, -2, 0, 0, -1, 0, -1, 4, 1, 0, 0, 1, 0, 1, 0, 2, -1, 1, -1, -1, 2, 0, 2, -2, 0, 1, 0, 0, -1, 1, 4, -1, 2, 1, -2, 1, 2, 0, 0, 1, -1, 0, -2, 1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 4, 0, -1, 0, -2, 0, 2, -2, 2, -2, 0, 1, 1, 2, -2, 0, 2, 0, 1, -1, 0, 2, 0, 4, 1, -2, 0, 2, 1, -1, 0, -1, 1, 0, -1, 2, -1, -1, 2, -1, 2, 0, 1, 1, -1, 1, 4, -1, 1, 1, -2, 2, -2, 2, 0, -1, -1, -2, 2, 0, -1, 0, -1, 1, 0, -2, 0, -2, -1, 4, 1, -2, 0, 0, -1, 1, 0, 2, -1, 0, 0, 1, 0, 0, 0, 0, 1, 1, -2, 0, 1, 1, 4, 0, 2, -1, 1, -1, 0, 1, 1, 1, -2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, 1, 1, 2, 2, -1, -1, -1, 2, 1, 0, -1, 1, 2, -1, 1, 1, 4, -1, 0, 2, 1, 2, 2, 0, 1, -1, 1, 0, 0, 1, -1, -1, 0, 2, -1, 1, 1, -1, -1, 4, -1, 0, 0, 0, 0, 1, 0, 1, 0, 2, -1, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1, 4, 0, 0, 0, 1, -1, 0, -2, 0, 1, 1, 0, 1, -1, 2, -1, -2, 0, 1, 1, 2, 0, 0, 4, 2, 2, 2, -1, 1, -1, 1, 0, -1, 1, -1, -2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 4, 1, 1, 1, 2, 1, -1, 0, -2, 2, 1, -1, -1, 0, 2, -1, 0, 1, 2, 0, 0, 2, 1, 4, 2, 0, 1, -1, 0, 0, -1, 2, -1, -2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 4, 0, 2, 0, 0, 1, 0, 1, 0, -2, 1, 1, -1, 1, 1, 1, 0, 1, -1, -1, 1, 0, 0, 4, 0, 2, -2, 0, -1, 0, 0, 1, -1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 4, 2, -1, 1, -1, 2, 2, -1, -1, 1, 1, -1, 0, 2, -1, 1, -2, -1, 1, -1, 0, 2, 2, 6, -2, 0, -2, 1, 2, 2, -2, 1, 2, -2, 1, -1, 1, 0, 0, 1, -1, 0, 0, -2, -1, -2, 4, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 4, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, -2, -1, 0, -1, -1, -2, 0, 0, 4, -2, 0, 0, 1, 1, -2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, -2, 4, 1, -1, -1, 0, 2, -1, 0, 1, -1, 0, 1, -1, 1, -1, 0, 0, 2, 2, -1, 1, 0, 1, 4, 1, -1, 0, 1, -2, 1, 0, -1, -1, -1, -2, -1, -2, -2, 1, -1, 2, 0, -1, 0, -1, 1, 4, -1, 0, 0, -1, 1, -1, 0, -1, 2, 1, -1, 1, 1, -1, -1, -2, 0, 0, 1, -1, -1, -1, 4, -1, -1, 2, 1, 1, 2, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 4, -1, 0, 1, 2, -1, 1, -2, 1, 2, 1, -1, 0, 1, 2, 0, 0, -2, 2, 1, 0, -1, -1, 6, -1, -1, -1, 1, 0, 0, 1, -1, 1, 1, 0, -1, -2, 0, 0, 1, -1, -2, -1, 2, 0, -1, 4, 0, 1, 1, -1, 1, 0, 0, 0, 1, 1, 0, 1, -1, 0, 1, 0, 1, 1, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, -1, 0, -1, -1, -2, 1, 1, -1, 0, 0, 2, -2, 1, 1, 0, -2, 0, 4, -1, -1, 1, 2, 2, -1, -1, -1, 1, 1, -1, 2, -2, -2, 0, 2, -2, -1, 1, 2, 1, -1, 4, 0, 0, 0, -1, 1, 0, -1, 0, 1, 0, 0, -1, 2, -1, -1, 1, 0, 1, -2, 2, -1, 0, 4, -2, -1, -2, -1, 1, 1, -2, 0, 2, -1, 0, 0, 1, -2, 0, 2, 0, -2, -2, 1, 0, -2, 4, 2, 1, 0, 0, 1, 2, -1, 0, 1, -1, 1, -2, 2, -1, -2, 1, 1, -1, 2, 0, -1, 2, 4, 2, 0, 0, -1, 1, 1, 0, 2, -2, -1, -1, 1, -2, -1, 2, 2, -1, 2, -1, -2, 1, 2, 6, -1, 1, -3, 1, 1, 0, 2, 0, -3, 1, 1, -2, 0, -1, 3, 0, -1, 1, -1, 0, 0, -1, 4, -2, -1, 0, -1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 1, -2, 4, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, 0, -1, -1, -1, 1, 1, -1, -3, -1, 1, 6, 1, -2, 0, -1, 0, 3, -2, 1, 1, 0, -1, 0, -2, 1, 0, -2, 2, 1, 1, 0, 0, 1, 4, 0, -2, 2, -1, 1, -2, 2, -1, -2, -1, 1, 1, 1, 1, 0, -1, 1, 1, -1, 0, -2, 0, 4, -1, 0, -1, 0, 1, 0, -1, 0, 0, -1, 1, -1, 0, 2, 0, 0, 0, 0, 1, 0, -2, -1, 4, -1, 1, -1, 1, -1, 0, 2, 1, 0, -1, 2, 0, -1, 1, 2, 2, 0, 0, -1, 2, 0, -1, 4, -2, -1, -1, 1, -2, -1, 1, 2, 0, -2, -1, 0, -1, -2, 0, 0, 1, 0, -1, -1, 1, -2, 4, -1, 1, -1, 2, 1, -2, 0, 0, -2, 2, 0, 1, -1, -3, 0, 0, 3, 1, 0, -1, -1, -1, 6, -1, 0, 1, -1, 0, -2, 2, 0, -1, 1, -2, -1, 1, -1, 0, -2, -2, 1, 1, -1, 1, -1, 4, -1, 0, 1, 0, 0, -2, 2, -1, -2, 2, 1, 1, -1, 0, 1, 2, 0, -1, 1, -1, 0, -1, 4, -1, -1, 1, 2, 1, -2, 1, 0, -1, -2, -2, 1, 0, 1, -1, -1, 0, -2, 2, 1, 0, -1, 4, 0, -1, -1, 1, -1, 0, 2, -2, -1, 0, 0, 1, 0, -2, 0, 2, -1, 1, -1, 1, -1, 0, 4, 0, 0, 0, 1, 1, 0, 1, 2, -1, 0, -1, -1, -1, 0, 1, 1, -2, 0, 0, 1, -1, 0, 6, 0, -2, 2, -2, -2, 1, 2, 3, 0, 0, 0, 1, -1, 0, 2, 0, -2, 0, 2, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 1, -1, 0, 1, -2, 0, -1, 1, -1, 1, 1, 0, 1, 1, 0, -1, -1, -2, 1, 4, -1, 0, -1, 1, 1, 1, 1, 0, 1, 1, -2, 1, 2, -1, 2, -1, 1, 1, -2, 0, 2, -1, 4, 2, 0, -2, 0, 0, -1, -1, -2, 0, 1, 0, -1, 1, 0, 2, -1, -2, 1, -1, 2, 0, 2, 4, -1, 0, -1, 1, -2, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 1, -1, 0, -1, 4, 0, 0, -1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 1, 0, 0, -2, -1, 1, -2, 0, 0, 4, -1, 1, 1, 0, 2, 0, 0, 0, 0, -1, 0, -2, 1, 2, -1, 1, 0, 1, 0, -1, 0, -1, 4, 0, 2, -1, -1, 0, -1, 0, 1, -1, 2, 1, 1, -1, -1, 0, 1, 1, 0, 1, -1, 1, 0, 4, 0, -1, 0, 2, -1, 2, 1, -2, 0, 0, 1, 0, 0, 1, -2, 1, -1, -2, 0, 1, 2, 0, 6, 0, 0, -2, -1, -2, 1, -2, 1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, -1, 0, 4, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 1, -2, 0, 0, 2, -1, 0, 0, 0, 4, 0, 0, 1, 1, 0, 0, -2, 0, 2, -1, 1, 1, 1, 0, 1, -1, 0, 0, 2, -2, -1, 0, 4, -1, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, -2, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 4, -1, -1, 1, -1, 0, 0, 0, 1, 1, 1, 1, 0, 1, -1, 0, 0, 2, -2, -1, 1, 2, -1, 4, 0, 0, 0, 0, -1, 0, 0, 1, 1, 2, -1, 0, 0, 0, 1, 1, 1, 0, 1, 0, -1, 0, 4, -2, 1, -1, 2, 1, -2, 0, 0, -1, 1, 0, 1, -1, -1, -2, -2, 0, 0, 0, 1, 0, -2, 4, 0, 0, -2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, -1, 0, 1, 0, 4, 0, 1, 0, -1, 0, 1, -1, 2, 0, 0, -2, 1, 0, 0, 0, -2, -1, 0, 0, -1, 0, 0, 4, 0, -2, 1, -1, 0, 1, -1, -1, 1, 1, 1, 1, 2, 1, 0, -1, 0, -1, 2, -2, 1, 0, 4, 0, -1, 0, -1, 1, -2, 0, 0, 2, -1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, -2, 0, 4, 0, 1, -1, -2, 1, 0, 0, -1, -1, 0, 0, 0, -1, 0, 1, 0, -2, 1, -1, 1, -1, 0, 4, 0, -2, 0, -1, 0, -2, 1, 0, 1, 0, -1, 1, 1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -2, 2, 1, -1, 1, -2, 0, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 4, 1, 1, -1, 1, 2, 0, 1, 0, 1, 2, 1, 2, -1, 2, -1, -1, 0, 1, 0, 1, 2, 1, 4, 0, 0, 2, 0, 0, -2, 1, 2, 0, 1, 0, -1, 1, -1, -2, 0, 2, -1, -1, -2, 1, 0, 4, -1, 1, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 1, 2, -1, 0, -1, 4, 1, 0, 0, 0, 0, 1, 0, 1, 0, -1, -2, 1, -1, -2, 1, 0, 0, 1, 1, 2, 1, 1, 4, 1, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -1, 2, 0, 0, -1, 2, 0, 0, 0, 1, 4, 0, 2, -1, 0, 2, 1, 2, -1, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 4, 1, -1, -1, 0, 1, 0, -1, 0, -2, 1, 0, -1, 1, 1, -2, 1, -2, 1, 0, 0, 2, 1, 6, 0, -1, 0, 1, 0, -1, 1, 1, 1, -1, -1, 0, 3, 0, 0, 1, 1, 0, 0, -1, -1, 0, 4, 0, -1, 1, -1, -1, 0, 2, 0, 1, 0, -1, 0, 1, 1, 2, 1, 1, 2, 0, -1, -1, 0, 4, 0, 1, 1, 0, 0, 0, -2, -1, 2, -1, 0, -1, 2, 0, 0, 0, 0, 2, 0, 0, -1, 0, 4, 0, 2, -1, 1, -1, -1, -1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 4, 0, -1, 0, 0, -1, 0, 1, -1, 1, -1, 2, 0, 0, 0, 0, 2, 0, 0, -1, 1, 2, 0, 4, -1, 1, -1, 0, -1, 0, 1, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, 0, -1, -1, -1, 4, -1, 0, 0, 2, 0, 0, 0, -1, 2, 1, 0, -2, 0, 1, 0, 1, 0, 0, 1, 0, 1, -1, 4, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, 1, 0, -1, -2, 1, 2, 0, -1, 0, -1, 0, 0, 4, 0, 0, 0, 0, 1, -1, -1, -2, -1, -1, -2, 0, 1, 1, 0, -2, -1, -1, 0, 0, 0, 0, 4, 1, -2, 1, 0, -1, 0, 0, 0, -2, -1, -1, 0, -1, 1, -1, -1, 0, -1, 2, 0, 0, 1, 4, -1, 0, 0, 1, 1, 2, 1, 1, 2, 0, -1, -1, 0, 2, 0, 1, 0, 0, 0, 0, -2, -1, 4, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0, 0, 1, 0, 0, 4, 0, -1, 1, -1, 1, 0, 0, 0, 1, 3, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, 2, 0, 0, 0, -1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, -1, 0, 4, 0, 0, -2, -1, 0, 0, 1, -1, -1, 1, 2, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 4, -2, -1, 2, -1, 2, -2, -1, 1, 1, 2, -2, 1, -1, 1, -1, 1, -2, -1, 1, 0, 0, -2, 4, -1, -1, 2, -2, 0, 1, 0, -2, -2, 2, -1, 0, -2, 2, -2, 2, 1, 0, 1, -2, -1, -1, 6, -1, -2, 1, 0, -1, 1, 1, 1, -1, -1, 2, 2, -2, 2, -1, 1, -2, 2, -1, 2, -1, -1, 6, 1, 1, -2, 0, 0, 0, 1, -1, 2, 0, 2, 1, 2, -1, -2, 0, 0, 0, -1, 2, -2, 1, 4, -1, 0, 2, 0, -1, -1, 1, 1, 0, -1, 1, -1, 1, -1, 0, 0, 0, 2, -2, 1, 1, -1, 4, 0, 0, 1, 2, 3, -2, 1, 0, 2, -1, 2, -2, -1, -1, 0, 1, -2, 0, 0, -2, 0, 0, 4, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, 0, 2, 0, 0, 4, -1, -1, -2, 1, 1, -1, 0, 1, -1, 1, -1, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, -1, 4, 1, 0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 1, 1, 1, -2, 1, 0, -1, 2, 1, -1, 1, 4, 3, -2, 1, 1, 2, -2, 1, -2, -1, -1, 1, 2, 2, -2, 1, 1, -1, 3, 0, -2, 0, 3, 6, -2, 1, 1, 1, -2, 2, -2, -1, -2, 0, 0, -2, 2, -1, -1, 1, -2, 0, 1, -1, -2, -2, 4, -2, 0, -2, 2, -2, 2, 1, 0, 0, 0, 1, -1, -1, 2, 1, 1, 0, 1, -1, 1, 1, -2, 4, 0, 1, -1, 1, -1, -2, 0, 2, -1, -1, 0, 2, 0, 0, 0, 1, -1, 0, 1, 1, 0, 0, 4, 1, -1, 1, 0, 0, -1, 1, -1, 1, -2, 2, 2, -1, 2, 0, 0, 1, 2, 1, -2, 1, 1, 4, -1, 2, -2, -1, 0, 0, 0, -1, 2, -2, 1, 1, -1, 0, 1, 0, -2, -2, 2, -1, -1, -1, 4, -1, 2, 1, 1, 1, -1, 1, -2, 2, 2, -1, 2, 0, -1, 0, 1, 2, -2, 1, 1, 2, -1, 4, -2, -1, -1, 0, 0, -2, 2, -1, -1, 1, -2, 0, 1, -1, -2, -2, 2, -1, 0, -2, 2, -2, 4, 2, 0, 0, 0, -1, 1, 1, -2, -1, -1, 0, -1, 1, -1, -1, 1, -2, 0, -1, 1, -1, 2, 4, 0, -1, 0, 1, 0, -2, 0, 0, -1, 0, 0, 1, -1, -2, 0, 0, -1, 0, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 1, 1, 1, -2, 1, 1, -2, -2, 2, 0, 2, 0, 1, 0, 2, -2, -2, 0, -1, 2, 4, 1, -1, 1, -1, -2, 0, 1, -2, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, 0, -1, 1, 4, -2, 0, -2, 0, 0, 0, -1, 2, -1, 1, -1, -1, -2, 0, -2, -1, 2, 1, 2, 1, -1, -2, 4, -1, 1, 0, -1, 0, -1, -2, 1, -1, 1, 1, 2, -1, 2, 1, -2, 0, -2, 1, 1, 0, -1, 4, 0, 0, 1, 0, 1, 1, 1, 1, 1, -1, 1, 2, -1, 0, 1, 1, 0, 1, -1, -2, 1, 0, 4, 1, 1, 1, 0, -2, 2, -1, 2, 1, 2, 1, 2, 1, -2, -1, -1, -2, -2, 0, 0, 0, 1, 4, -1, 0, 2, 1, 0, -1, 0, 1, 1, 0, -1, 1, 1, -1, 0, 1, 0, 0, -1, 1, 1, -1, 4, 1, 1, 1, 1, 1, 1, -1, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 4, 0, -2, 0, 1, 0, -1, 0, 1, 2, -1, -2, 1, 1, -2, -2, -1, -1, 1, 0, 2, 1, 0, 6, 1, -1, 1, -1, -1, 0, 1, -1, 2, 1, 0, 0, -2, -1, 2, -2, 1, -2, 1, 1, -2, 1, 6, -1, 1, 0, 0, -1, -1, -4, 0, 4, 0, 1, 2, 0, -1, 1, 1, 2, 0, 1, 0, -1, -1, 4, -1, 2, 0, 2, 0, 0, -1, -1, 0, -1, 0, 0, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 4, -1, -1, -1, 1, -1, 0, 1, 1, 2, 2, 0, -1, 1, 1, 2, 0, 1, 0, -1, 0, 2, -1, 4, 0, 2, 0, 1, -1, -1, 0, -1, 0, 0, -1, 1, -1, 1, 1, -1, -1, -1, 0, 0, -1, 0, 4, 0, -1, 0, 2, 0, -2, -1, 1, -1, -2, 2, 1, 2, 1, 0, 0, 0, -1, 2, -1, 2, 0, 4, 1, 1, 0, -1, 0, -1, 0, 1, 0, -1, 2, 1, 0, 0, 1, 1, -1, 0, 1, 0, -1, 1, 4, 1, 1, -1, 1, 1, 2, 1, -2, 2, -1, 2, -1, -1, 2, -1, -4, 0, -1, 1, 0, 1, 1, 6, 0, -4, 0, -1, -2, -1, -1, 1, 0, 1, 1, 0, -1, 2, 0, -1, 0, -1, 2, 0, 1, 0, 6, 0, 0, -1, -2, -1, 2, -2, 1, -2, 1, 1, -2, 1, 4, -1, 1, -1, 0, -1, -1, -4, 0, 6, 1, 1, 0, 1, 1, 0, 1, -1, -1, 1, 1, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 1, 4, 0, -1, 0, 2, -2, 0, -1, 0, 0, 1, 0, 1, -1, 2, -1, -1, -1, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 0, -2, 0, 1, -1, -2, 1, 0, -2, -1, -1, -1, -1, 1, 2, 1, -2, 0, 1, -2, 4, -1, 1, 2, 1, 0, 2, 2, 0, -1, 2, 0, 0, 1, -1, 1, -2, -2, 2, 0, 0, 1, -1, 4, 1, 0, 1, -1, -1, 1, 1, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 1, 2, 1, -1, 2, -1, -1, 1, -2, -2, -1, -1, 2, -1, 0, 1, 0, 1, -2, 2, 0, 1, 4, 0, -1, 0, 2, -1, -1, 2, 0, 0, 0, 1, 0, -2, -2, 2, 1, -1, 0, 1, 1, 2, 0, 4, 0, 0, 0, 0, -1, 1, 0, 0, 0, -2, 1, -1, 0, 1, -1, 0, 1, 0, -1, 1, -1, 0, 4, 0, 1, 0, -1, 0, -1, -1, 1, -1, 2, 0, 0, 0, -1, 2, -1, 2, -1, -1, 0, 0, 0, 4, 1, 0, 0, 1, 0, 0, 2, -1, 1, -1, -1, 1, 0, 1, -2, 2, 1, 2, 2, 0, 1, 1, 6, 0, -2, 2, -1, -1, 1, 1, 1, -2, -2, 2, 0, 2, 1, 0, 1, -1, -1, 0, 0, 0, 0, 4, -1, 0, 1, 1, -1, 0, -1, 0, -1, 0, 1, 0, 0, -1, -1, -1, -1, -1, -1, 0, -2, -1, 4, -2, 0, 0, -1, 0, 0, 2, 2, -2, 0, -1, -2, 2, 0, 1, 2, 1, 0, 1, 2, 0, -2, 4, 0, 1, 1, 0, 0, -2, -2, 2, 0, 0, -1, 0, -1, -2, 0, 0, -1, 0, -1, 1, 0, 0, 4, 2, 0, 1, -2, -1, -1, 0, 0, -1, -1, 0, -1, -2, 0, 0, -1, 0, -1, 1, 0, 1, 2, 4, 0, 1, -2, 0, -1, 0, 0, -1, -1, 1, -1, -1, 0, 0, 1, 2, 1, -1, -1, 1, 0, 0, 4, -1, 0, -1, 0, 1, -2, 1, -1, -1, 0, -1, 1, -2, -1, -1, 1, 0, 0, 0, 1, 1, -1, 4, -1, 0, -1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, -1, 0, 0, -2, -2, 0, -1, 4, 0, 0, 0, 0, 2, 2, -2, 0, -1, -2, -1, 0, -1, -2, 0, 2, -2, -1, 0, -1, 0, 0, 4, 2, -2, 0, 0, 1, -2, 0, 0, -2, 0, 0, -1, -2, -1, 2, -2, -1, -1, 0, -1, 0, 2, 4, -2, -1, 0, -2, 2, 0, 1, 2, 1, 0, 1, 2, 0, -2, 2, 0, 0, 1, 0, 0, -2, -2, 4, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, -2, 1, 0, 0, -1, 1, 4, -1, 1, 0, 0, 1, -1, 0, 2, 1, 2, 0, -1, 0, -1, -1, 1, 0, 2, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, 1, 1, 2, 1, -1, 1, -1, -2, 2, -1, -1, -1, -1, -1, 1, -1, -1, 1, 4, -2, 0, -1, -1, 2, 1, 0, -1, 2, -2, 0, 1, -2, -1, 0, -2, -2, 2, 1, 0, -1, -2, 4, 1, 2, 0, -2, 0, -1, 0, -2, 1, 0, -1, 0, 1, -1, 2, 1, -2, 1, 1, 1, 0, 1, 6, -2, -1, 0, 2, -1, 2, 0, -1, -1, 0, -3, 1, -3, 0, 0, 0, -2, 0, -2, -1, 2, -2, 6, -1, 0, -1, 1, 0, 0, 2, 2, 0, 3, 2, 2, 0, 0, 0, 3, 2, 1, -1, 0, -1, -1, 4, -1, 0, -1, 0, -1, 0, 0, 1, 1, -1, 1, 1, 1, -1, -2, -2, 1, 2, -2, 0, 0, -1, 4, 0, 1, -1, 2, 0, 0, 1, -1, -1, 0, -2, -2, 2, 0, 1, 2, 1, 0, 2, -1, 0, 0, 4, 1, 0, 1, 0, 0, 2, -1, 0, -2, -1, 0, 1, 0, 0, 1, 0, -1, -1, 1, -1, 1, 1, 4, 0, 2, 1, 0, 1, 2, 1, 0, -2, -1, 2, 1, 0, -1, -1, 0, 2, 0, 0, -1, 0, 0, 4, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, -2, 0, 1, 2, -2, 0, 0, -1, 2, 1, 2, 0, 4, 0, 0, 2, 0, 0, 0, -2, -2, 2, 0, 0, -1, -2, 1, -1, 2, 0, 0, 0, 1, 0, 0, 4, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1, 2, 0, 0, 0, 0, 1, 0, 1, 4, 0, 1, 1, 1, -1, 0, 0, 1, 1, 2, 1, -1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 4, 0, 0, 0, -1, -1, 1, 0, 0, -1, -2, 0, -3, 3, 1, -1, -1, 2, 1, 0, 1, 1, 0, 6, 1, 2, 0, 2, 0, 0, 0, -1, -1, 1, 1, 2, -1, -1, 0, 1, 2, 0, 0, 1, 0, 1, 4, 1, 0, 0, 0, 1, 1, -1, 0, -1, -3, 2, 1, 0, -2, 0, 0, 0, 0, 1, 0, 2, 1, 4, 0, 0, 0, 1, 0, -1, -2, 2, 0, 0, 1, -2, -1, -2, 0, -2, 0, -1, -1, 0, 0, 0, 4, 2, -2, 0, 0, -1, -2, 1, 0, 0, 1, -2, 0, -1, 1, -2, 0, 0, -1, 2, 0, 0, 2, 4, -2, -1, 0, 1, 2, -2, 0, 0, -1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, -2, -2, 4, 1, 0, -1, 1, 1, -2, 3, -2, 0, 0, 1, -2, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 6, 1, -1, 0, 1, 0, 2, -2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, -1, 0, -2, 2, -1, 0, -1, 1, 1, -1, 2, -1, 2, -1, -2, 0, 0, -2, 4, 2, 1, -1, -1, 0, 2, -2, 2, -1, 1, 1, -2, 2, -1, 1, 0, 0, 0, 1, -1, -2, 2, 4, 1, 0, -1, -1, 2, -1, 0, 0, 1, 1, -1, 1, -2, 1, -1, 1, 1, 0, -1, 0, 1, 1, 4, -2, 0, 0, 1, 1, 1, 0, 2, 2, 1, -1, 0, 0, 1, -1, -1, 0, -1, -1, -1, 0, -2, 6, 2, 1, 0, -1, -3, 1, 0, -2, 0, -1, -2, 2, -2, 1, 2, 0, -1, -1, -1, -1, 0, 2, 6, -1, -1, -1, -1, 1, 1, 0, 1, 0, 1, 2, -1, 2, 1, -2, 0, 0, 0, -1, 0, 1, -1, 4, 0, 0, 1, 1, 0, -1, -1, -1, -1, 0, 0, -2, 0, 1, 0, -2, 2, 2, 1, 0, -1, 0, 4, 0, 0, 0, 2, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, -1, 1, -1, -1, 0, 0, 4, -1, 1, 0, 0, 1, -2, 0, -2, 2, -1, -2, -1, 1, -1, 2, 0, 1, -3, -1, 1, 0, -1, 6, -2, 0, 1, 0, 2, 1, -1, 1, -2, -1, 0, -1, 0, -1, 0, 0, 1, 1, 1, 0, 1, -2, 4, 0, -1, -1, -1, -1, 0, -1, 0, 0, 0, 1, -1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 4, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, -2, 0, -1, 0, 0, 1, -1, 0, 4, 0, 0, 1, 1, 1, 0, -1, -1, -1, 1, -2, -1, 1, 0, 1, -1, -1, 1, 0, -1, 1, 0, 4, -1, 1, -1, 0, 0, 0, -1, 0, -1, 2, 1, -1, -1, 0, -1, 0, -2, 2, -1, 0, 0, -1, 4, 0, 0, 0, 1, 0, 0, 0, 2, -1, -2, 0, -2, 1, -1, -2, 0, 1, -1, -1, 1, 1, 0, 4, 0, 1, 0, -1, 0, 0, -1, 1, 1, 0, 2, 2, 0, 0, -2, -1, 0, 0, 1, -1, 0, 0, 4, -1, 1, 1, 0, -1, 2, 0, -1, 1, -2, -1, 0, 0, 2, 1, -1, 0, 1, 0, 0, 1, -1, 4, -1, -2, 0, 0, -1, 0, 1, -1, 1, 2, -2, 0, -1, -2, 0, 0, 0, 0, 1, 0, 1, -1, 4, 1, -1, 1, -2, 0, 1, -1, 2, 1, 0, 0, -2, -1, 0, 0, -1, 0, 0, -1, 1, -2, 1, 4, 1, 0, 0, 1, 0, 0, 0, -2, 1, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 1, 4, -1, 0, -1, -1, -1, -1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -2, 0, 0, -2, -1, -2, 0, 1, -2, -1, -1, -2, -1, 1, 2, -1, -2, 0, 2, 1, 6, 0, -3, 2, -2, -1, -1, -2, 2, 2, 0, 0, 0, 1, 0, -2, 0, -2, 0, 2, 3, -2, 0, 6, 3, 2, -2, 2, -1, 1, 2, -1, 1, -1, -1, 1, -1, -2, -1, 0, 1, 1, -2, -2, -3, 3, 6, -1, 1, 2, -1, 1, -1, -1, 2, 1, 1, 1, 1, 1, -2, 2, 2, 0, -4, 0, 2, 2, -1, 4, -2, 0, -1, -1, 2, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, -2, -2, 1, -2, 4, -1, 0, 1, -2, -1, 0, 0, 0, -1, 1, 2, 0, 2, 0, -1, 0, -2, -1, 2, 2, 0, -1, 4, 0, 1, 1, -1, 2, 1, 1, 2, 0, -1, -2, 0, 2, 0, -3, -1, -1, -1, -1, -1, 0, 0, 4, 2, -1, 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, -2, -2, 1, 1, -1, 1, 1, 2, 4, 0, -1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, -1, 0, 2, 2, -1, 2, -2, 1, -1, 0, 4, 0, 0, 0, 0, 1, 0, -2, 0, -1, 0, 0, 1, 1, 2, -1, -1, 1, -1, -1, 0, -1, 0, 4, -1, 1, 1, 0, 0, -1, 1, 0, -1, 0, 1, -2, 0, 1, 2, 0, 0, 2, 0, 0, 0, -1, 4, 1, 2, 2, 1, 0, -2, 0, 2, 0, -2, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 4, 2, 1, 2, 0, -2, 0, 1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 4, 1, 2, 0, -1, 0, 1, 0, -1, -2, 1, 1, 1, 0, -1, 2, 1, 1, 1, 0, 2, 1, 1, 4, 0, -1, -2, 1, 2, 0, -1, -1, 0, -1, 1, 0, 1, 0, -1, 0, 0, 0, 1, 2, 2, 0, 4, 1, -1, 0, 1, 0, 0, 1, -2, -2, 1, -2, 2, -1, 1, 0, -2, -1, 0, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 2, 0, -1, -2, 0, 0, -2, 0, 0, 0, 1, -2, -2, -1, -2, -1, 0, 4, 0, -2, 0, 2, -1, -2, 0, 2, -1, 2, 0, 1, 2, -1, 0, 0, 0, 0, 1, 0, 1, 0, 4, 0, -1, -1, -2, 0, 1, 2, 0, 0, 2, 0, 0, 0, -1, 2, 1, 1, 2, 1, 0, -2, 0, 4, 1, -2, 0, 2, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, 0, 2, 3, -2, -4, 0, 0, -3, 0, -1, 1, 1, -2, -1, -1, -1, 0, 0, 2, -1, -2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 0, -1, -2, 1, -1, -1, -1, -1, 1, 1, 0, -1, 1, -1, -1, -1, 1, 1, 1, -1, 4, -1, 1, 2, 1, 0, 0, 1, -1, 1, 0, 0, -1, 2, -1, 0, 1, 1, -1, 0, -1, 0, -1, 4, -2, 1, 0, 0, 0, 0, 2, -1, 1, 1, 1, 0, -1, 0, 1, -2, -1, 0, 1, 0, 1, -2, 4, -1, -1, 0, -1, -1, -1, 2, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 2, 1, -1, 4, 2, 0, 1, 2, 0, -1, -1, 0, 0, 0, -2, 0, 2, 1, -2, 0, -1, -2, 1, 0, -1, 2, 4, -1, 2, 1, 1, 0, -1, -1, 1, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, -1, 4, 1, 0, -1, 0, 0, 2, -2, 0, 0, 1, -1, 0, 0, -1, 0, -1, 0, 0, -1, 1, 2, 1, 4, 0, 0, -1, 0, 0, -1, 0, 0, 2, 0, 1, 0, -2, 0, -1, 1, 0, -1, 2, 1, 0, 0, 4, 0, 0, -2, -1, 1, 0, -1, 0, 1, 1, -1, 0, 0, -1, -1, 2, -1, 0, 1, -1, 0, 0, 4, -1, 1, 0, 1, 0, -1, 1, 1, -2, -1, -1, 0, -1, 1, -1, 2, -1, 0, 0, -1, 0, -1, 4, 0, -1, 0, 1, 1, 0, -1, 0, 1, 0, 1, 1, 0, 1, 1, -1, -1, 0, 0, -2, 1, 0, 4, 0, 0, 1, 0, 0, 0, -2, 0, 0, 1, 1, 0, 1, -1, 0, -1, 2, 0, -1, 0, -1, 0, 4, -2, 0, 0, 1, 0, 0, 0, -1, -1, 0, -1, 1, -1, 0, 1, -2, -1, 1, 1, 0, 0, -2, 4, -1, 0, -1, 0, -1, 0, 1, 2, -1, 2, 0, 1, 0, -1, 0, 0, 0, 0, 1, 1, 0, -1, 4, -1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 0, -2, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, 4, -1, -2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, -1, 0, -1, 4, 0, 0, 0, -2, 0, -1, 1, 1, 0, 2, 0, -1, 0, 1, 1, -1, 0, 0, 0, 1, -2, 0, 4, 0, -2, 0, -1, -1, 1, -2, 0, 1, 1, 0, 1, 1, -2, 0, -2, 0, -1, 0, 0, 0, 0, 4, 0, 0, -1, 1, -1, -1, 0, -2, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, 2, 0, -2, 0, 4, 1, 1, 1, 0, 0, 0, 0, -1, -1, -2, 0, -1, 0, 0, -1, 1, 0, 0, -2, 0, 0, 1, 4, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 1, -1, 2, 0, 1, 0, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, -2, 0, 1, 1, 2, -1, -2, -2, -1, -1, 1, -1, 2, 2, -1, -2, 2, 1, 1, 6, -3, 3, 1, 1, 0, -1, 3, -2, -1, 1, 2, 2, -1, -1, -1, -1, 1, 1, -1, 2, -2, -3, 6, -4, 0, -2, -2, -1, -4, 1, 2, 1, -1, -1, 1, 0, -1, -1, 0, 1, -2, 0, 2, 3, -4, 6, -1, 0, 2, 1, 4, -2, -2, -1, 1, 1, 0, 1, 1, 1, -1, -1, 0, 2, -2, 1, 0, -1, 4, 1, 0, -2, 0, 1, 1, 1, 2, 2, 0, -1, -1, -1, 2, 1, -2, -1, 0, 1, -2, 0, 1, 4, -1, -1, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 2, 0, 1, 0, 1, 0, -2, 2, 0, -1, 4, 2, 1, -1, -1, -1, 1, 1, 1, 0, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -2, -1, 2, 4, 0, -1, -1, 0, 0, 0, 1, 0, 1, 0, -2, 0, 1, -1, 2, 3, -4, 4, 0, 0, 1, 0, 6, -1, -1, -1, 1, 1, 0, 0, 2, 1, 0, -1, 0, 1, -1, -2, 1, -2, 1, 1, -1, -1, -1, 4, 1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, -1, -2, -1, 2, -2, 1, -1, -1, -1, -1, 1, 4, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -2, 1, 1, -1, 1, 0, -1, 0, -1, 0, 0, 4, 1, 2, 0, 0, -2, -2, 0, 2, -2, 0, -1, 2, -1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 4, 2, 0, 0, -1, -2, 0, 1, -1, 0, -1, 2, -1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 4, 0, 0, -1, -1, 0, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 1, 0, 1, -1, 0, 0, 0, 4, -1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 4, 0, 0, -1, 0, 1, 1, 2, -1, -1, 1, -1, -1, 1, 1, 2, -1, 0, -2, -1, -1, 0, 0, 4, 2, -1, -2, 1, 0, 2, -1, -1, 1, -1, 0, 1, 0, 1, 0, 0, -2, -2, -1, 0, 0, 2, 4, 0, -2, 2, 0, -1, 1, 0, -1, 2, 2, -1, -2, 0, 1, 1, 0, 0, 0, 0, -1, -1, 0, 4, 0, -1, 0, -2, 1, 1, -1, 1, 0, -1, 0, -1, 0, 0, 2, 1, 1, 0, 0, -2, -2, 0, 4, -1, 0, 2, -1, -2, 0, -2, 1, 1, 1, 0, 1, -1, -2, -1, -1, -1, 1, 1, 2, -1, -1, 6, -1, 1, 2, 0, 2, -1, 0, -1, -1, 1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 0, -1, -1, -1, 0, -1, 1, 1, 1, 1, 1, 0, -1, 0, -2, 0, -1, 1, 1, -2, 4, 1, 0, 0, -1, 1, -1, -1, -2, -1, 0, -1, -1, 0, 1, 1, 2, -1, 1, -1, 1, -1, 1, 4, 1, -1, 0, -1, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 4, -1, -1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, -2, -1, 1, 0, 0, 0, -1, 0, -1, -1, 4, 2, 1, 1, 1, 1, 1, -2, 1, -1, 1, 0, 1, 1, 0, -1, 1, -1, -1, -1, 0, -1, 2, 4, 0, 0, 2, 2, 0, -1, 0, 0, -1, -1, 0, 1, -1, -1, 0, -1, -1, 1, -1, 1, 1, 0, 4, 1, 1, -2, -1, -1, 0, -2, 1, 1, 1, 1, 1, 1, -1, -1, 0, -1, 1, 1, 1, 0, 1, 4, 0, 1, 1, -1, 1, -1, 0, 1, -1, -1, 1, 0, 1, -2, -1, -1, 0, 1, 1, 2, 1, 0, 4, 0, 0, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, -1, 1, -2, 1, 0, 1, 2, -2, 1, 0, 6, 1, 0, 2, 2, 0, 0, 0, -2, -2, -1, 1, 0, 1, -1, 0, 0, 1, 0, -1, 1, 0, 1, 4, -1, 0, 1, -1, 0, 0, 0, 1, 0, 1, -1, 1, 0, 1, 1, -2, -1, -1, -1, -1, 0, -1, 4, -1, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 1, 0, 2, 0, -1, 4, 0, 2, 0, 0, -1, 0, 0, 2, 1, 1, -1, 1, 0, -1, 0, -2, -1, 0, 2, 1, 0, 0, 4, -1, 0, 0, -1, -1, 0, 1, 1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, 0, 2, -1, 4, 0, 0, -1, 1, 0, 0, 1, -1, 1, 1, 2, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, 1, 0, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 4, 1, -1, 1, 0, 1, -2, 2, 0, -1, 1, 1, 1, -1, 1, -2, 0, -1, -1, -1, -1, 0, 1, 4, 0, 1, 0, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1, -2, 1, -1, 0, -1, 1, 0, -1, 0, 4, 0, 0, -1, -1, 1, 0, 0, -1, -1, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 1, 0, 4, 0, 0, 1, -1, 0, 0, 1, 0, -1, 1, 0, 1, 1, -1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 0, 1, 1, 0, 0, -1, -1, -1, -2, -1, 0, -1, 1, 1, 1, 1, 0, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 0, 2, 0, -2, 1, 1, -2, 2, -1, -1, -2, -2, 1, 2, 1, -2, -2, -1, 1, 4, 1, 1, -1, 2, 1, -1, 1, -1, 0, 0, -1, -1, 0, 1, -1, 0, 1, 0, 1, -2, 0, 1, 4, 2, -2, 1, 1, 1, 1, -1, 1, 1, -2, -2, 1, 2, 1, -1, -1, 1, 2, -1, -2, 1, 2, 6, 0, -1, -1, 2, -1, -2, 2, 1, -1, -1, 1, 3, 0, -2, -1, 2, 2, 1, 0, -1, -2, 0, 4, 0, -2, -1, 0, 1, 0, 1, 2, 2, -1, -2, 0, 0, -1, 0, 0, 1, 2, 2, 1, -1, 0, 4, 1, -1, 1, 1, 0, 1, -1, -1, -1, 0, 1, 0, 1, 0, 0, -2, 0, 1, 1, -1, -2, 1, 4, 1, 1, -1, 0, -2, -1, -1, 1, 0, 1, 0, 0, 0, 0, -2, -2, -1, 1, 2, -1, -1, 1, 4, -1, -1, 2, -1, 0, 0, 2, 1, 1, -2, -1, 2, 0, 0, 1, 1, 1, -1, 0, 1, 1, -1, 4, 0, -1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1, 1, -1, -1, -2, 1, 1, -1, -1, 0, 4, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, -2, 1, -2, 0, 1, 2, 0, 0, 0, 2, -1, 0, 4, 0, 0, 1, 2, 2, 0, -2, -1, 2, 1, 0, 2, 0, 1, 1, 1, 1, -2, -1, 1, 0, 0, 6, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, -1, 2, -1, -1, 0, 0, 1, 0, -1, 4, 2, 0, -1, -1, -1, -1, 0, 0, 1, -1, -1, -2, -1, 2, -1, -1, 0, 0, 1, 1, -1, 2, 4, 0, -1, -1, 0, -1, 0, 0, 1, -2, 0, 1, 1, -1, -1, 1, 2, 0, 0, 2, -1, 0, 0, 4, 1, -1, -2, 0, 2, 0, 0, -2, 1, 2, 3, -2, 0, 0, 1, -1, 0, 2, 0, -1, -1, 1, 6, 0, -2, 0, 2, 2, 1, 1, -1, 1, 0, 0, 1, 1, 1, -1, 0, 0, 0, -1, -1, -1, 0, 4, 0, -1, 0, 0, 0, 2, 0, -1, -2, 0, 0, 0, -2, 1, 0, -2, 0, -1, 0, -2, -2, 0, 4, 1, -2, -1, 0, 1, 1, -1, -1, -1, 1, 0, -1, 0, 1, -1, 0, -1, -1, 0, 0, -1, 1, 4, -1, -2, 0, -2, 0, 1, 2, 0, 0, 0, 2, -1, 0, 2, 0, 0, 0, 2, 2, 0, -2, -1, 4, 2, 0, -2, 1, 2, 2, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 2, 0, -1, -2, 2, 6, -1, -1, -2, -1, 1, 1, -2, -2, 0, -1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, -2, -1, -2, 1, 0, 1, 0, -1, 1, -1, 4, -1, -1, -1, 0, -2, -1, 1, -2, -2, 0, -2, 2, -1, 0, -2, 1, 1, -1, 2, 1, 0, -1, 4, 1, 2, 1, 1, 2, -2, 2, 2, 1, 1, 0, 2, 0, 1, -1, 0, 1, -1, 0, 2, -1, 1, 4, 0, 2, 0, 0, 0, 2, 2, 2, 0, -1, 0, 0, 0, -1, 1, 1, 0, 1, 0, -1, 2, 0, 4, 0, 2, 1, -2, 2, 1, 0, 2, -1, 2, -1, 1, -1, 1, 1, -2, -1, 2, 0, 1, 2, 0, 4, -1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 1, 0, 2, -1, 4, 1, 0, 1, 2, 0, 2, -2, 1, -1, 1, -1, 0, 1, -2, 0, 1, -1, 2, 0, 1, 1, 1, 4, -1, 0, 0, 1, 1, -1, 1, 0, 2, -1, 0, 1, -1, 1, 2, 1, -2, 0, -2, 0, 0, -1, 6, -2, 1, 0, 0, 0, -2, -2, -2, 2, 1, -2, 0, 1, 1, -2, 2, 2, 2, 0, 1, 0, -2, 6, 3, 1, 2, -2, 2, 0, 1, -2, 0, 2, -2, 0, 1, -2, 2, 2, 1, 0, 2, 0, 1, 3, 6, 0, 2, -1, 1, -1, 0, 0, 1, 0, -2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 1, 0, 2, 0, 2, 1, 0, 2, 2, -1, 4, -2, 1, -1, 1, -1, 0, 1, -2, 0, -2, 2, 0, -1, -1, 0, -2, -1, 0, -2, -1, 0, -2, 4, 0, 1, -2, 2, 0, -2, 2, -1, -1, -1, 2, 0, 2, 0, 1, 1, -2, 2, 1, 0, 1, 0, 4, 1, 0, -2, -1, 1, -1, 0, -2, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, 0, -1, 1, 1, 4, 0, -1, -2, 1, 1, 1, 1, -2, 1, 0, 1, 0, 1, 2, -2, 1, 0, 0, 1, -2, 0, 0, 4, -1, 0, 1, -1, 0, 0, 1, -1, -1, -1, 0, -1, -1, 2, -2, 0, 0, -1, 2, -2, -1, -1, 4, 1, -2, 1, -1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -2, 0, 1, 4, -1, 0, 0, 0, -1, 1, 1, 1, 0, 1, 1, -2, 2, 0, 0, 1, -2, 1, 1, 1, -2, -1, 4, 0, 1, -1, 2, -1, 0, -2, 0, -2, -1, 0, -2, -2, 0, -2, 2, -1, 1, -1, 1, 0, 0, 4, 0, 1, 1, 0, 1, -1, 1, 0, 1, 1, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, -1, -2, 1, 1, 0, -1, -2, 0, 0, 0, 0, 1, 2, -2, 1, -2, 2, 1, 2, 4, 1, 0, -2, -2, 0, 0, 0, -1, -2, -1, 1, -1, -1, 0, 2, 0, 0, -2, 1, 1, 1, 1, 4, -1, 0, 0, 2, -1, 1, 0, 0, -2, 1, -2, -1, 0, 2, -1, 0, 0, -1, 2, -1, 0, -1, 4, -1, 1, 0, 0, 1, -1, 1, 1, 1, 1, -1, 1, -2, 0, 1, 1, 1, 0, -1, -2, 0, -1, 4, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, -2, 0, -2, -2, 0, 1, 0, 4, 1, 0, 1, 1, 2, 0, -1, 0, 1, -1, -1, 0, 1, 2, -1, 0, 1, 0, 2, 0, 0, 1, 4, 1, 1, -1, 0, 0, 1, 0, -1, 1, 1, -1, 2, 0, 1, 2, 1, 0, -1, 0, -1, 0, 1, 4, -1, -1, 0, 2, -1, 2, 1, 0, 1, -1, 1, 0, 3, 1, 0, 0, 1, 1, -1, 1, 1, -1, 4, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, -1, 0, -1, 1, 1, -1, -1, -1, 4, 1, -1, -1, -1, 1, -2, 0, 0, -1, 1, -1, -1, -2, -2, 0, 1, 0, 2, 0, 0, 1, 1, 4, 0, 0, 1, 1, -1, -1, 0, 0, 2, -1, 0, 0, -1, -2, 1, 0, 0, 0, 2, 0, -1, 0, 4, -1, 2, 0, 1, -1, -1, 0, 0, 2, 0, 0, 1, 1, 1, 0, -1, 1, -1, 0, -1, 0, -1, 4, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0, -1, -2, 1, 0, 0, 0, 2, 0, -1, 1, 2, -1, 4, 0, 1, -1, 0, 0, 0, 2, 0, 0, -1, -1, -1, 0, 1, -1, 1, 0, 1, 1, 0, -1, 0, 4, -2, 0, -1, 1, 1, -1, 0, 1, 0, 0, 1, 1, -1, 1, 0, 0, -2, -1, 1, 1, 1, -2, 4, 0, 0, 0, -1, 1, 1, 2, 2, 2, -2, -1, -1, 1, 1, 0, 0, -1, -1, 0, -1, 0, 0, 4, -1, 0, -1, 1, 2, -2, 0, -1, 0, 1, 0, -1, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 4, -1, 0, -1, -1, 1, 0, 0, 1, -1, 1, 2, 1, 1, -1, 0, 0, 1, 0, 1, 0, 0, -1, 4, 0, 1, 1, -2, -2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, -1, -1, 0, 0, 4, 0, 0, 2, 1, -1, 1, -2, -1, 1, 3, -1, -1, -1, 2, 0, 2, -1, 1, 1, -1, 1, 0, 6, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, -1, 0, 0, 1, 0, 0, 1, 2, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 2, 0, -1, -1, -1, 0, -1, -1, 1, -1, -1, -2, 1, 1, 1, -1, 1, -2, -2, 4, -1, -1, -1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, -1, 0, -1, 2, 0, -1, 4, 1, -1, -1, 1, -1, 2, 0, -1, 2, -1, 2, 1, 0, -2, 1, -1, -1, -1, 0, 1, -1, 1, 4, 0, 1, 0, -2, 1, 1, -2, 1, 0, 1, 0, -2, 0, 2, 0, -2, 0, -1, 2, -1, -1, 0, 4, -1, -1, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 1, -1, 4, -1, -1, 1, 1, -1, 1, 1, 1, -1, 0, 2, 1, 0, -1, 1, -1, -1, 1, 1, 0, -1, -1, 4, -1, 0, 1, -1, 0, -2, 0, 2, 0, 0, 1, 0, -1, -2, 1, -1, 0, -1, -2, 0, -1, -1, 4, 0, -2, 2, -1, 1, -1, -1, 1, -1, -2, 0, 2, 0, 1, -1, 0, 2, 1, -1, 1, 0, 0, 4, 0, -1, 2, -1, 2, 1, 1, -1, 1, -2, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, -2, 0, 4, -2, 0, 0, 0, 0, -1, 2, 2, 1, -2, 0, 0, -1, 0, -1, -2, 0, -1, -1, 2, -1, -2, 4, -1, 1, 0, 0, 1, -1, -2, 0, 2, 0, 1, -1, 0, 2, 1, -1, 1, 0, -1, 2, 0, -1, 4, -1, 2, 0, 1, -1, 0, -2, -1, 0, 0, 1, -1, -1, 0, 0, 1, -2, 1, -1, 0, 1, -1, 4, -1, -1, -1, 1, -1, 2, 1, 1, 0, -1, 0, 2, 1, -1, 1, 0, -1, 2, 0, 0, 2, -1, 4, 0, 1, -1, 1, -2, -1, 0, 0, -1, 1, 1, 0, 0, -1, 2, -1, 1, 0, 0, 0, -1, 0, 4, 0, -1, 0, 0, 0, -2, 1, -2, 1, 0, -2, 0, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, 4, 0, -1, -2, 1, 0, 1, 1, 1, -2, 0, 0, 2, 0, -1, -1, 2, -1, -1, 1, -1, -1, 0, 4, 1, 1, -1, 1, 0, 1, 0, 1, 2, 0, 1, 1, -2, 1, 2, -2, 0, -1, 1, 0, -1, 1, 4, 0, -2, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, -2, 1, 0, -2, 2, -2, 0, -2, 1, 0, 4, 0, 0, 0, -1, 0, -1, -2, 0, -1, -1, 2, -1, -2, 2, -1, 1, -1, 0, 1, -1, -2, 0, 4, 1, 1, 1, -1, -1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 1, 4, -1, -2, 2, 0, -1, -2, -1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 1, -1, 0, 1, 1, 0, -2, 2, 0, -2, 0, 1, 2, -2, 0, -2, 0, 0, 2, 4, -2, -1, -1, 1, 1, 0, 1, 1, -2, 1, -1, -1, 1, 0, 0, 0, 1, -2, -1, 0, -2, -2, 4, 1, 1, 1, -1, -1, 0, -1, 2, -2, 0, 0, 0, -1, -1, 0, 0, 2, 0, 1, -2, -1, 1, 6, -3, 1, 0, -2, -1, 1, 1, 1, -2, 3, 2, 2, -2, 1, 1, 1, 1, -1, 1, -1, 1, -3, 6, -2, 0, 1, -1, -2, 1, -2, 1, -3, -1, -1, 1, -2, -2, 1, 1, 2, -1, 1, 1, 1, -2, 4, 1, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, 0, 2, 1, -1, 1, 0, 1, -1, 0, 0, 1, 4, -1, -2, 0, 0, 1, 1, 1, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, -2, 1, 0, -1, 4, 1, 1, 0, 0, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 1, 1, 0, -1, -1, 0, -2, 1, 4, 0, -1, 1, -1, 0, 1, 0, 1, 0, 1, -1, -2, 0, 0, 1, -1, 1, -2, 1, 0, 1, 0, 4, -1, 0, -1, 0, 1, 1, -2, 1, 1, -1, 0, 0, -2, -2, 2, 1, 1, 1, 0, 0, -1, -1, 4, -2, 1, 1, 0, -1, -1, 0, 0, 2, 0, 1, 2, 1, -2, 1, -2, -1, 1, 0, 1, 0, -2, 6, -1, 2, 0, 2, 1, -1, 0, -2, 1, -2, 0, -1, 0, -2, 1, 0, 1, 0, -1, -1, 1, -1, 4, -1, -1, -1, 1, -1, 0, 1, 0, 1, -2, -1, 0, 3, -3, 0, 1, -1, 0, 0, 1, 2, -1, 6, 0, 1, -1, 2, 0, 0, 1, -2, 0, 1, 0, 2, -1, 0, -1, 0, 1, 1, 0, 0, -1, 0, 4, 0, -1, 0, 2, 0, -1, 0, 1, 0, -1, 2, -1, -1, 0, -1, 0, 1, -1, 2, -1, 1, 0, 4, 1, 0, -1, -1, 1, 0, 2, 0, -1, -2, 1, -2, -1, 0, 1, -2, -1, 1, 1, -1, -1, 1, 4, -1, -1, -1, 0, 0, -2, 0, 0, 1, -2, 0, 0, -1, 0, 1, 0, -1, -1, 2, 0, 0, -1, 4, 0, 0, 0, -1, 0, 1, 0, 1, -2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, -1, -1, 0, 4, 0, -1, 0, -2, -2, 2, 1, 1, 1, 0, 0, -1, -1, 2, -2, 1, 0, 0, -1, -1, 0, 0, 4, 1, 1, 0, -1, 0, 1, 1, -1, 1, 0, -2, 0, 0, 1, 0, 1, -1, 1, 0, 0, -1, 1, 4, -1, 0, 0, 1, -1, 2, 1, 0, 0, 0, 0, 1, -2, 1, -2, 0, 0, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 0, -2, -1, -1, 2, -1, 1, 2, -1, -1, 1, 1, 2, -1, 1, -1, -1, 0, 1, 6, -3, 0, -2, -2, -1, -3, 1, 2, -1, 0, 2, -3, 2, 0, 1, -2, 1, -3, -2, 0, -2, -3, 6, 0, 2, 1, -1, 3, -1, -2, -1, -2, -1, 0, -2, -2, -1, 3, 1, 0, 2, 1, 1, 0, 0, 4, -1, 0, 0, 0, 2, -2, 1, 2, -1, -2, 0, 0, -1, 0, 1, -2, 0, 1, 0, -2, 2, -1, 4, 0, 0, 2, 0, -1, 0, 0, -1, 1, 0, -1, 0, 0, 1, 1, 0, -1, -2, -2, 1, 0, 0, 4, 2, 1, -2, 0, -1, -1, 0, 1, -1, -1, -2, 1, -2, 1, 1, 1, -1, -1, -1, 0, 0, 2, 4, -1, -1, 0, 1, 1, 0, 2, 1, 1, -1, -1, -1, 2, -1, -1, -1, -3, 3, 0, 2, 1, -1, 4, 0, -1, 0, -1, -1, 0, -2, -1, -1, 2, 0, 0, 2, 0, 2, 1, -1, 2, 0, -2, -1, 0, 4, -1, 1, 1, -1, -1, 1, 0, 1, -1, 2, -1, -1, 0, -1, 2, -2, -2, -1, 0, 0, -1, -1, 4, -1, -1, 2, 0, 0, 1, 0, -1, -1, 0, 0, -1, 1, -1, -1, 1, 0, -1, 1, 0, 1, -1, 4, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, -2, 2, 0, -2, 2, 0, -1, 1, -1, 1, -1, 1, 6, -2, -1, 2, 1, 1, -1, 1, -1, -2, 0, -1, 2, -1, -1, -1, 0, 0, -1, -1, 2, 0, -2, 4, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -3, 0, -2, 1, 1, 2, 0, -1, 0, 1, -1, -1, 6, -1, 1, 0, 0, -2, 4, 0, -1, 1, 2, -2, 0, 0, -1, 1, -2, 1, 0, 0, 2, 0, -1, 4, 0, 1, -2, 1, 0, -2, 0, 1, 0, -2, 0, -1, -1, 1, -1, 0, 1, 2, 1, 0, 1, 0, 4, 1, -1, -1, 1, 0, -1, 2, 1, -1, -1, 0, -2, -1, -1, 1, 0, 1, 1, 0, 0, 1, 1, 4, 0, 1, 0, -1, 0, -1, -2, 3, 0, 0, 1, -1, 2, -1, -1, 0, -1, 0, 0, -2, -1, 0, 4, 0, 0, 2, 1, 1, 1, 1, 1, 1, -2, -1, 0, 2, -1, 0, 1, 0, -2, 1, -1, 1, 0, 4, -2, -1, 0, -1, -3, 0, -2, 1, 1, 2, 0, -1, 0, 1, -1, -1, 4, 0, 1, 0, 0, -2, 6, 1, -1, -1, -2, 2, 0, 0, 1, -1, 2, -1, 0, 0, -2, 0, 0, -2, 0, -1, 2, -1, 1, 4, 0, 0, 0, 1, 1, -1, 1, -1, 0, 0, -1, -2, 0, -1, -1, 0, -1, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 2, 2, 1, 2, 0, 2, -1, 1, 0, 0, 0, -2, -2, -2, 1, 0, 1, -2, 4, -2, 0, -1, 0, -1, -1, -2, 1, -2, 1, 0, 0, 1, -1, 2, 1, 1, -1, -1, -1, 2, -2, 4, -1, 2, 1, 0, 1, 2, 0, 2, -1, 1, 0, 0, 1, -1, 0, -2, 0, 0, 0, -1, 0, -1, 4, 1, -2, 1, 1, 1, -1, -1, 2, 1, -1, 1, -1, -1, 0, 1, 0, 2, -1, 1, -1, 2, 1, 4, -1, 0, 2, 1, 0, 1, 1, 2, 0, 0, -1, -2, 0, -1, 0, 0, 0, 2, 0, 1, -2, -1, 4, 1, 0, 1, 1, 1, -2, 0, 1, 1, 1, 1, -1, -2, 1, 0, 1, 2, -1, 0, 1, 0, 1, 4, 1, 1, -1, 0, 0, 1, -1, 0, -1, -2, -2, -1, 0, 1, 1, 1, -1, 1, 1, 2, 0, 1, 4, 2, 1, 1, 1, 1, 1, -1, -1, -2, 0, -1, 1, 0, 1, 2, -2, 2, 1, 1, 1, 1, 2, 6, 1, 2, -1, 2, 1, 1, 2, 0, 0, -2, 1, 2, -1, 0, 1, 0, -1, 0, 1, -1, 1, 1, 4, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, -1, 0, 2, -2, 2, -1, 1, 1, 0, 1, 2, 0, 4, -2, 0, 0, 0, 1, -1, 0, -2, 2, 0, 0, -1, 1, -1, 2, 1, -2, 0, 1, -1, 0, -2, 4, 0, 0, 0, -2, -1, 0, 1, -1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 4, -1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, -1, 4, 0, 0, 1, 1, -1, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 4, 0, 2, 0, -1, 0, 1, -1, 0, -1, 1, -1, -1, 1, -1, -1, 2, 1, 1, -2, 0, 0, 0, 4, 2, 0, 0, 0, 1, -1, -2, 2, -1, -1, -2, 1, -2, -2, 0, 2, -1, -1, -1, 1, 2, 2, 6, 2, 0, -1, 0, -1, -2, 1, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, -1, 1, 0, 0, 2, 4, 0, 0, 0, -1, -2, 1, -2, 1, -1, -2, -1, -1, -2, 0, -2, 1, 0, -1, -1, 0, 0, 0, 4, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 2, -1, 0, 1, 0, 0, -1, 0, -1, 4, 1, 1, 0, -1, 0, 2, 0, 0, 1, 0, 2, -1, 0, 0, 1, -1, 1, 1, 0, 0, 0, 1, 4, -1, 1, -1, 0, -1, 0, 1, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, -1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 1, 0, -1, 2, -2, -1, -1, 1, 0, -1, 1, -1, 1, -2, -2, -2, 0, 2, -2, 4, 2, 1, -1, 0, 0, -1, 2, 0, 2, 0, 1, 0, 0, 0, -1, 0, 0, 2, 1, 0, -2, 2, 4, 2, 0, -1, -1, -1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, -1, -2, 1, 2, 4, -1, -1, -1, -2, 2, 0, 0, 0, -1, 0, -1, 2, 1, 0, 2, 2, -1, -2, 1, -1, 0, -1, 4, -1, 0, 2, 0, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 0, 1, 1, 0, 0, -1, -1, -1, 4, 0, -1, -1, -1, -2, 1, 0, -1, 1, 0, -1, 1, -2, -1, 0, 1, -1, 0, -1, -1, 0, 0, 4, 0, -1, 1, 1, -1, 0, 1, -1, -1, -2, 2, 1, -1, 0, 0, 2, -1, -1, -2, 2, -1, 0, 4, -1, 1, 1, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, -2, 2, 2, 2, 0, -1, -1, -1, 4, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, -1, -1, 0, 1, 0, 1, -1, 1, 1, 0, 4, 2, -2, -1, 2, -2, 1, 0, 1, 3, 0, 0, 0, -1, 2, 2, 0, 1, -2, 1, 1, 1, 2, 6, 0, 1, 0, -1, 0, -2, 0, 2, 1, 2, 0, 1, 0, 0, 0, -1, 1, -1, -1, 0, -2, 0, 4, 1, -2, 2, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 1, -1, 1, 1, 4, -1, 2, -1, -1, -1, 0, 1, 1, 1, -1, 0, 0, 0, 1, -1, 1, 1, 1, 2, 0, -2, -1, 4, -2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, -1, 1, -1, 0, 0, -2, -1, 2, 2, -2, 4, -2, 0, -1, -1, 0, -1, 1, -1, 0, 1, 2, 1, 0, -1, 0, 1, 1, 0, -1, -1, 1, -2, 4, 1, 0, 1, 1, 0, 0, 1, -1, 0, 1, -1, -1, -2, 0, 0, 0, -2, 0, -1, 0, 0, 1, 4, -1, 0, 0, -1, 0, -2, 0, 0, 0, -1, 1, 2, -1, 0, 1, 0, 0, -1, 1, -1, 0, -1, 4, 1, 0, 0, -1, -2, 0, 2, 2, 1, -2, 1, 0, 1, 3, 2, -1, 0, 1, -1, 1, 0, 1, 6, 1, -1, -1, -2, 2, 2, 2, 0, -1, -1, -1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 4, 1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, -1, 0, -1, 0, -1, 1, 4, 0, 2, 0, -1, -2, 1, 1, 0, 2, -1, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 0, 1, -2, -1, 0, 0, 0, 0, 1, -1, -1, 0, 2, 0, -1, 0, 1, 1, 1, 4, -2, 1, 0, -1, -1, -1, 1, 0, 1, 0, 0, 1, -2, -1, 0, 0, -2, 0, 0, -1, -1, -2, 4, -1, -1, 0, 1, 2, -1, 0, -1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, -1, -2, 1, -1, 4, 1, -2, 0, 0, 0, 1, 0, 1, -2, 2, 0, 0, -2, -1, -1, 1, -1, -1, 0, 0, -1, 1, 4, -1, 1, 1, -1, 0, 1, 0, 0, 1, 1, 1, -2, 0, 1, 0, 0, 1, 1, -1, 0, -2, -1, 4, -1, 0, 1, -1, -1, 0, 0, -2, 1, 1, 2, 0, 2, 0, 1, 0, -2, -1, 1, 0, 1, -1, 4, 2, -1, -1, 1, -1, 1, 1, 0, 1, -2, 1, 2, -1, -1, 1, -1, -1, 2, 0, 1, 0, 2, 4, -1, -1, 0, -1, 0, 0, 1, 1, -1, 1, 2, -1, 0, 0, 0, 1, -1, 0, -1, 1, -1, -1, 4, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 4, 1, 2, -1, 0, 1, -1, 0, -2, -1, 2, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, 0, 1, 4, -1, 0, 0, -1, -1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, -1, 2, -1, 4, -1, 1, 1, 0, 0, -2, -1, 2, 0, -1, 1, 0, 1, -2, 0, 0, 1, 0, 0, -1, 0, -1, 4, 0, -1, 1, 0, 0, -1, -1, 1, 1, -1, 1, 0, 2, 1, -2, 1, 0, 0, 0, 0, 1, 0, 4, -1, 1, -2, 0, -2, 0, 0, 0, -1, -2, 1, 0, 1, 1, 0, 1, 0, 1, -1, 1, -1, -1, 4, 0, -1, -1, 2, 1, 0, 0, 0, -1, 1, 0, 1, 1, 1, 1, 0, -1, -1, 0, 1, 1, 0, 4, 0, 0, 0, 0, 1, 1, 2, 0, 0, -2, -2, 2, -2, -1, 0, 0, 0, 0, 0, -2, -1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1, -2, 1, -2, 0, 0, -1, 0, 0, 4, 1, -2, 0, 1, -1, -2, 0, -1, 1, 2, 2, 2, -1, -1, 1, -1, -1, -2, 2, 0, 0, 1, 6, -1, -1, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 2, -1, 2, -1, 0, 1, 0, 0, -2, -1, 4, 1, -1, 1, 0, 1, -1, 0, 1, -1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 4, -1, 1, -1, -1, -1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, 1, 0, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 0, 1, -2, 0, 0, 0, 0, 0, 2, 1, 2, -1, -1, 1, 0, 0, 0, 1, 1, 2, 4, 2, 0, -1, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 1, 2, 4, 1, -1, -2, 1, 0, 1, 2, 1, -1, 0, -1, 0, 1, -1, -1, -1, 1, 0, 1, 0, 0, 1, 4, -1, -1, 0, -1, 2, 2, 0, -1, -1, -1, 1, 2, -2, 0, -1, 0, -1, 2, 1, -1, -1, -1, 4, 0, 1, -1, 0, -2, 1, 1, 2, 1, -2, 0, 0, -1, 1, 1, 2, 0, -2, -2, -2, -1, 0, 4, 0, 1, 0, -2, -1, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 4, 1, 1, 1, 2, -1, 1, -1, -1, 1, -1, -2, -1, 2, 0, 1, 0, 1, 0, -1, -1, 1, 1, 4, -1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, -1, -1, 0, 0, -1, 1, 2, 0, 0, 1, -1, 4, 2, 1, 0, -1, 0, 1, 2, -2, -1, -1, 1, -1, 2, 0, 1, 2, 2, -2, -2, 1, 0, 2, 6, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, -2, 1, 0, 0, 1, 0, 1, -1, 2, -1, 1, 0, 4, -1, 1, 0, 0, 1, -1, -2, -1, 2, 0, 1, 2, 0, -1, -1, 1, 0, -1, 0, 0, -1, -1, 4, 0, 2, -1, -1, 1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 2, -1, 1, 0, -1, 0, 1, 0, 4, 0, -1, -1, 1, -1, 2, 1, 1, 0, 2, 0, -1, -1, 1, 0, -1, 0, 0, -1, 0, 2, 0, 4, -1, -1, 1, 1, 0, -1, 1, 0, -1, 0, 0, 1, -2, 1, -1, 0, 1, 0, 0, -1, -1, -1, 4, 0, -1, 0, 0, 0, -2, 1, -1, 0, 1, 2, 0, 0, 1, -1, 2, 1, 1, -1, -1, -1, 0, 4, -1, -1, -2, 1, 0, 2, 1, 1, -1, -2, 0, 0, -1, 0, -2, 0, -1, 1, 1, 1, -1, -1, 4, 1, 1, -1, 1, -1, 0, 0, -1, 0, -1, 1, -2, 1, -1, 0, -2, 0, -1, 1, 0, -1, 1, 4, 1, -2, 0, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, 0, -1, 0, 2, 0, 0, -2, 1, 1, 4, -1, 0, -1, 0, 0, 1, 0, 1, -1, 2, -1, 1, 0, 2, -1, 1, -1, 0, 1, -1, -2, -1, 4, 1, 1, 1, 0, 0, -1, 2, 0, 0, -1, -1, -2, 0, 1, 1, 1, -2, 0, 1, 0, 0, 1, 4, -1, 1, 1, 1, 2, 0, -1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, -1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, -1, 0, 1, 2, 1, 1, 0, 2, 2, 2, -1, 1, -1, -2, 1, 2, 0, 1, 1, 4, 1, -1, 0, 1, 0, 1, 1, 0, -1, 2, 1, 1, 1, 0, -2, -2, 1, 2, 0, -1, 0, 1, 4, -2, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0, 1, -1, -1, 1, 2, -1, -1, -2, -1, -1, -2, 4, -1, 1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 1, 0, -1, -1, 1, 0, 0, -1, 0, 0, -1, 4, 0, -2, 0, -1, -1, -1, -1, 0, 0, 1, -2, 1, 1, -1, -1, -1, -1, 0, 1, 0, 1, 0, 4, -1, 1, -1, 1, -1, 2, 2, 2, -1, -1, -1, -2, 0, 2, 0, -1, 1, 0, 0, 1, -2, -1, 4, 1, 0, 1, 1, 1, 0, 0, 1, 1, -1, -1, 1, 1, -1, 0, 2, 1, -1, 0, 0, 1, 1, 4, 0, 2, -1, 3, 2, 2, 0, 0, 0, -3, 1, 3, -1, 0, 1, 1, 2, -1, -1, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, -1, 1, 0, -1, 1, -1, 1, 1, 2, 0, 4, 0, 3, 1, 1, -1, 1, 1, -3, 0, 3, -1, 0, 0, -1, 1, -1, -1, -1, 1, -1, 0, 0, 4, -2, -1, -1, -1, 0, 1, 2, 1, -2, 0, 0, 2, 2, -1, 1, -1, 2, 1, 3, 0, 3, -2, 6, 2, 3, 0, 1, -1, -4, 0, 4, -1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, -1, 2, 4, 2, -1, 0, -1, -3, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, -1, 3, 2, 4, -1, 0, -1, -2, 0, 2, 0, 0, -1, 1, 1, 0, 1, -1, 1, 0, 0, -1, -1, 0, -1, -1, 4, -1, -1, 0, 1, 0, -2, -1, 1, 0, -1, 1, -2, -1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 4, 1, -1, -1, 1, 1, 2, -1, -2, -1, 0, 1, -1, -1, 0, -1, 1, 1, -1, -1, -1, -1, 1, 4, 1, -1, -1, 0, 1, -2, -2, 1, -1, 1, -2, -1, -3, 0, -3, 2, -4, -3, -2, 0, -1, 1, 6, 0, -4, 1, 0, 1, 1, 2, -1, -1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, -1, -1, 0, 4, 0, -1, -1, 2, 2, -1, 1, -1, 2, 1, 3, 0, 3, -2, 4, 2, 2, 0, 1, -1, -4, 0, 6, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, 0, -2, 1, 0, 1, -1, 0, 4, 1, 1, -1, -2, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 2, 1, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 0, 2, 2, -1, 2, 1, 2, -1, 2, -2, 2, -1, -1, 1, -1, -1, -2, 0, 0, 4, 1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 1, -1, 1, 1, 4, 0, 2, 1, 1, -1, -1, 0, 0, -2, 0, -1, -1, -1, 1, 2, 0, -2, -2, 1, -1, 0, 0, 4, -1, -1, -1, 2, -1, 0, 0, 0, 0, 1, 1, 1, -1, 0, 1, 0, 2, 1, 0, 1, 2, -1, 4, 0, 1, -2, -1, 0, -1, -1, 0, 0, -1, 0, 1, 1, -1, -1, 0, -1, 2, -1, 1, -1, 0, 4, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, -1, 0, -2, 0, 2, -1, 1, -1, 1, 2, 4, -2, 0, 0, 1, -1, 2, 0, 2, 0, 1, 1, -2, -1, -2, 0, -1, 0, -1, 2, -2, 0, -2, 4, 0, 1, 0, 1, 0, 1, 1, 0, 0, -1, 1, 1, 2, 1, 2, 0, -1, -1, -1, 1, 0, 0, 4, 0, 2, 1, 1, -1, 2, -1, -1, -1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 4, 0, 1, 1, 0, 1, -1, 1, -1, -1, 1, 1, 1, 2, 0, 0, 0, -1, 1, 1, 0, 2, 0, 4, -1, 1, -1, 1, -1, 0, 1, 0, -1, -1, 0, -1, 0, -2, 0, -1, 0, -1, 1, 1, 1, -1, 4, 0, 2, 1, 0, 0, -2, -1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 4, 0, 2, 0, 0, -1, -2, 0, 0, 0, -2, 0, -1, 1, 0, 0, 0, 1, -1, 0, -1, 2, 0, 4, 0, 1, 1, -1, -1, 1, 2, 0, 2, -2, -1, 1, -1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 6, 0, -1, -1, -1, 1, -1, 1, -1, -2, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 4, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, 1, 1, 1, 0, -1, 1, 0, 0, 0, 1, -1, 0, 4, 0, -1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, -1, -1, -1, 1, -2, -1, -1, -1, 0, 0, 4, 1, -2, -1, 0, -1, 0, 0, 1, -1, -1, -2, 1, -1, -1, 0, -1, -2, -1, -1, 0, -1, 1, 4, -1, 0, 0, -1, 0, -2, 0, -1, 0, -1, 1, 1, 1, -1, 2, 0, 1, 1, 0, 0, -2, -1, 4, 2, 0, -2, 1, -2, 2, 0, -2, -2, 2, -1, 1, -1, 1, 0, 2, -1, 1, 0, -1, 0, 2, 6, -1, 0, -1, 1, 1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, -1, 0, 1, -2, 1, -1, 2, -1, 1, -1, -1, -1, -2, 2, 2, -2, 0, 0, -2, 4, 0, -1, 2, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -2, -2, 2, 1, 1, 1, 0, 6, 2, -2, 0, 1, 1, -1, -2, -1, -1, 2, -1, -2, 2, -2, 2, 1, -2, 1, -1, 2, -1, 2, 6, -3, 2, 2, 0, -2, -2, 0, 0, 1, 0, -1, 1, -3, 2, 3, -2, -1, 1, -1, 2, -2, -3, 6, -1, 0, -1, 0, 0, 1, 2, 0, 2, 0, -1, 2, -2, -1, 2, 0, 2, 0, 0, 0, 2, -1, 4, -1, -1, -1, 0, -1, -1, -1, -1, 1, 1, 0, 1, 2, -1, -1, 0, 1, -1, 1, 2, 0, -1, 4, 1, -1, -1, 0, 1, 2, 1, -2, 1, -1, 1, 2, -1, 0, 1, -2, 0, 1, 0, -1, -1, 1, 4, -1, 0, -2, 0, 0, 0, 0, 2, 1, 0, -1, 0, 0, -1, 1, 0, -1, -2, 0, -1, -1, -1, 4, 1, 1, -1, -1, -1, 1, -1, 0, 0, -2, 0, 0, -1, -1, 1, -2, -2, 0, 0, -1, 0, 1, 4, 0, 0, -1, 0, 1, 0, 1, -1, -1, 1, 0, 0, 2, 0, -1, 0, 1, -1, 0, -2, 1, 0, 4, 0, 1, 1, 0, -2, -1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 2, -1, 1, 0, -1, 0, 0, 4, 0, 2, -1, 0, 0, -2, -1, 1, 0, 2, 1, 0, 2, 1, 0, -1, 2, 0, -1, -1, 1, 0, 4, 0, -1, 0, -1, 0, 2, 0, 1, 1, -1, 1, -1, 0, 2, -1, 1, 0, -1, 0, 1, 2, 0, 4, -1, 0, 0, -1, -1, 1, 0, 2, -1, 0, -2, -1, 0, 1, -2, 0, 1, 1, 0, -1, -1, -1, 4, -1, 1, -1, 0, 1, -2, 0, -1, 0, 2, 1, -1, 1, 1, 2, -1, 0, -2, 0, 0, 0, -1, 4, 1, 1, 0, -1, 0, 0, -2, 0, -2, -3, 2, 0, -1, 1, 0, 1, -1, 0, -1, 0, 1, 1, 4, -1, -1, 1, 0, 0, 2, -2, 2, 2, -2, 1, 1, 0, 0, -1, 0, -2, 0, -1, -1, 1, -1, 4, 2, -2, 0, -1, 2, -2, 1, 3, -1, 2, 2, -1, -2, -1, 0, -1, 2, -1, 0, 0, -1, 2, 6, -2, -1, 1, -2, 2, -2, -2, 2, -1, -1, 0, 0, 1, 0, 1, 0, 1, 1, -1, 1, -2, -2, 4, 1, 1, 0, 1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 1, 4, -1, 0, 1, -1, 1, 2, 0, 1, -1, -1, 0, 1, 2, 1, 2, 0, 0, 0, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 1, 1, -1, 2, 0, 0, 2, 0, -1, 0, 1, -1, -2, 2, 1, 2, -1, -1, 1, 4, -2, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -2, -2, 4, 1, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 2, -2, 0, 0, 0, 1, -1, -1, 1, 4, 1, 0, -1, 0, 1, 1, 0, 1, 1, 1, -1, -1, -1, -1, 0, 0, 1, 1, 1, 0, -1, 1, 4, 1, -1, 1, 2, 1, 1, 2, -1, 2, 1, 1, -2, 0, -1, 1, -1, 1, 1, -1, -1, 0, 1, 4, -1, 1, 2, -1, 1, 2, 1, 2, -1, 0, 0, 0, -1, 1, 1, -2, -1, 0, 0, -1, -1, -1, 4, 0, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 4, 1, -1, 2, 0, 0, 0, 0, -1, -1, 0, 0, 2, -1, 0, 0, 0, -1, 1, 2, 2, -1, 1, 4, 0, 0, 2, 0, 2, 0, 1, -1, 0, -2, 0, 1, 0, 0, 1, 0, 1, 1, -1, -1, -1, 0, 4, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, -1, 4, 0, 0, 1, 1, -1, -1, 0, 0, 2, -1, 0, 0, 0, -1, 1, 2, 2, -1, 0, 2, 0, 0, 4, 0, 2, -1, 1, -1, -1, -2, 0, 1, 0, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 4, 0, -1, -1, 1, -1, 1, 0, 1, 0, 0, 0, -1, 1, 2, 2, -1, 0, 2, 0, 1, 2, 0, 4, -1, 1, -1, 0, -2, 0, 1, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, -1, -1, -1, 4, 0, -1, 0, 1, 1, -2, 1, -1, 0, 0, -1, 1, 0, -1, -1, 1, 0, -1, 1, -1, 1, 0, 4, 1, 0, -2, -1, 0, 1, -2, -1, 2, -1, -2, 0, 1, -1, -1, 0, -1, -1, 1, -1, -1, 1, 4, -1, 0, -1, 1, 0, 2, 1, -2, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, -1, 4, 1, 0, 0, -1, 1, 0, 0, 0, -1, -1, 0, 0, -2, 1, 0, -2, 1, -2, 1, -2, 0, 1, 4, 0, -1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, -1, 2, 0, 0, 0, 1, -1, -1, 0, 0, 4, 0, 0, -1, 0, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 1, 1, -2, 0, 1, 0, -1, 0, 4, -1, -1, 1, 1, 1, 1, -2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, -2, -1, 2, 0, 1, 1, -1, -2, 1, -2, -1, 1, -1, -1, 0, -1, -2, 0, 2, 4, 1, 2, -2, -2, 1, 1, -1, 0, -2, -1, 1, -1, -1, -1, -1, -2, 1, -2, -2, 0, -1, 1, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1, -1, 0, -1, -1, 1, 0, 1, 0, 2, 2, 0, 4, -1, 0, 1, 1, -1, 0, 0, -1, 1, -1, -1, -1, 0, -2, -1, 0, 0, -1, -2, -2, 0, -1, 4, 2, -2, 0, 1, -1, 2, 0, 0, 0, 0, -1, 2, 0, 0, 2, 1, 1, -1, -2, 0, 0, 2, 4, 0, -1, 0, -1, 2, 0, -1, 0, 1, 0, 1, 0, -1, 2, 2, 0, 2, 1, 0, 1, -2, 0, 4, 0, -1, 0, -1, 0, 1, 0, -1, 1, -2, 0, -1, -1, -1, -1, 0, 1, 0, 1, 0, -1, 0, 4, -2, -1, -1, 0, 1, 0, -1, -1, -1, 0, 0, -1, 1, 1, 1, -1, -1, -1, 1, 0, -1, -2, 6, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, 0, -1, -1, 0, -1, 0, 4, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 0, -1, -2, 0, 0, 2, 2, -1, -1, 1, -1, 4, 0, 0, 1, 1, 0, 1, 0, -1, 2, 1, 0, -2, -1, 1, -1, 0, 0, 0, 0, 0, -1, 0, 4, -1, 2, 0, 0, -1, 0, -1, 0, 2, -1, 1, 1, 1, 1, 0, -1, 1, 1, -1, 1, 0, -1, 4, -1, -1, 0, 0, -1, 1, 0, -1, 1, -2, -1, 1, -1, 0, 0, 0, 0, 0, -1, 1, 2, -1, 4, 0, 0, -1, 1, -1, 0, 2, -1, -1, -1, -1, -1, 0, 1, -1, -1, 1, -1, 1, 0, -1, 0, 4, -1, 0, 0, 1, 1, 0, 0, 1, -1, 0, -1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, -1, 4, 0, 1, -1, 0, 0, 1, -1, -1, -1, 0, 2, 1, -2, -1, 0, 1, 1, -1, 0, -1, 0, 0, 4, 0, 0, 1, 0, 1, -1, -2, -1, -2, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 1, 0, 4, 0, 0, 1, 0, 0, 1, 1, -1, 0, -1, -1, 0, 1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 4, -1, -1, 1, -1, -2, 0, 0, 2, 2, -1, -1, 1, -1, 2, 0, 0, 0, 1, 0, 1, 0, -1, 4, 2, 0, -2, -2, 1, 0, 1, 2, -1, 1, 0, -1, 1, 2, -1, 2, 0, 0, 0, 1, -1, 2, 6, -1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, -1, 1, -1, 0, 1, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -2, 1, 0, 1, -2, -1, 1, 0, 0, 1, -1, 0, -1, 1, -2, -1, 2, -2, 4, -2, 2, -1, 2, 0, -1, -2, 2, 1, -1, 1, 0, -1, 0, 1, -1, -2, 2, 1, -2, 2, -2, 4, -2, 0, -1, 0, 1, 0, -2, 0, 1, -1, 1, 1, 0, 0, -1, 1, -2, -1, 1, -2, 2, -2, 4, 0, 2, -1, -1, 0, 2, 0, -1, 0, -1, 0, 1, 1, 1, -2, 2, 1, 0, 1, -1, 0, 0, 4, 1, 1, -1, 2, 0, -1, 0, 1, -1, 2, 1, -1, -1, 0, 0, 0, 2, -2, 2, -1, 2, 1, 6, -2, 1, 0, 1, 2, 1, 0, 0, -1, 2, -1, 1, -1, 1, -1, -2, 1, 0, 0, -1, 1, -2, 4, -2, -1, 0, 0, 0, 1, -1, 2, 0, 1, -1, -1, 0, 0, 0, 0, -1, 1, -1, -1, 1, -2, 4, 1, -1, 0, 2, -1, 0, -2, 1, 0, 2, 2, -1, -2, 0, 1, -2, 0, 0, 2, 0, -1, 1, 4, 0, -1, 0, 0, -1, 0, 1, -1, 1, 1, 0, 0, 3, -2, 2, -2, 2, 0, 1, 0, -1, 0, 4, 0, -2, 0, 0, 0, 1, 0, 1, -2, 2, 1, 0, -1, 1, 0, 0, -1, 2, 0, 0, -1, 0, 4, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -3, 1, -1, 1, -1, 0, 1, 0, 2, 0, -2, 0, 4, 0, 0, 0, 1, 0, 1, 1, -1, -2, 0, 0, 1, -1, 0, 1, 0, 1, -1, 0, 0, -1, 0, 4, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 4, 0, -1, -2, -1, 1, 0, 0, 0, 1, -1, 1, 0, 2, -1, 2, -2, 0, 0, 0, 0, 1, 0, 6, 1, 1, -1, -1, 0, 0, 1, -1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, -1, 1, 4, 1, 2, -1, 1, -1, 1, 0, 1, 0, 1, -1, -1, 1, 0, -1, 0, 0, 0, 1, -2, 1, 1, 4, 0, -1, 0, 0, 0, -1, -1, -1, 1, -1, 1, -1, 2, 1, 1, 0, 1, -2, -1, -1, 2, 0, 6, 0, 1, -1, 0, 1, -2, 1, -2, 0, -1, -1, 2, 1, -2, -1, 1, 0, 1, -1, -1, -1, 0, 4, -2, -1, 1, -2, 2, -2, 2, 0, 1, 0, -1, 0, 2, 0, -1, 0, 0, 0, 1, 0, 1, -2, 4, 2, 0, -1, 1, -1, 1, 0, -1, 0, -2, 0, 1, 0, -2, 0, 0, 0, -1, 0, -1, -1, 2, 4, 0, 2, -2, 1, 0, 2, -2, 0, 0, 3, 0, -3, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, -2, 2, 2, 2, 0, 0, 2, 0, -2, -2, -1, 0, 2, 0, -1, 0, 1, 1, 0, 4, 2, 0, 1, 0, -2, 0, 1, 1, -2, 0, -2, -2, 1, -1, 1, 0, -1, 0, 0, 0, 1, 2, 6, 1, -2, 0, 1, 0, 2, -1, -2, -2, 0, 0, 0, -2, -1, 2, -2, -2, 0, 0, 1, 0, 1, 4, -2, 1, -1, 0, 1, 1, -1, 1, 1, 1, 1, -1, 0, -1, 0, 1, 1, 1, -2, 1, -2, -2, 6, -2, 0, -1, 0, 0, 0, 1, -2, -2, 0, -1, 0, -1, 0, 1, -1, 1, 2, 0, 0, 1, -2, 4, -1, 2, 1, 1, 0, -1, 0, 0, 1, 0, 1, 1, 1, -1, 1, 1, 2, -2, 1, -1, 0, -1, 6, 1, -1, -2, 3, -1, -1, -1, -2, 0, 0, 1, -2, -1, 0, 1, 2, 0, 0, 0, -1, 2, 1, 4, -1, 1, 0, -1, -1, -1, -1, 1, 0, 1, -1, -1, 1, 1, 0, 1, 2, 1, 0, 1, -1, -1, 4, -1, -2, -1, 1, 1, 2, -1, 0, 1, 1, -1, -1, 1, 0, 1, -1, 1, 0, 1, -2, 1, -1, 4, 0, 1, 0, 0, 1, 0, 1, -1, 0, 1, 2, 1, 2, -2, -2, -1, 0, 0, 3, 0, -2, 0, 6, 1, -1, -1, -1, 1, 2, -1, 0, 1, 0, 1, 0, 0, -2, 1, 1, -1, -1, -1, -1, 1, 1, 4, -1, 0, 0, 0, 1, -2, 0, 2, 0, 0, -2, -2, 0, 1, -2, 0, -1, -1, 1, 0, -1, -1, 6, 4, 1, 1, -2, 0, 1, -1, 0, 0, -2, -2, 0, 1, -2, 0, -1, -1, 1, 0, -1, 0, 4, 6, 1, 1, -2, 1, 1, -1, 0, 0, -1, 1, 0, 1, 0, 1, -2, -1, 2, 1, -1, 0, 1, 1, 4, -1, 0, 0, 2, 0, -1, 1, 0, -1, -2, -1, -1, 0, 0, 1, -1, 0, 1, 0, 1, 1, -1, 4, 1, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, 1, 0, 0, 0, 1, 2, 1, -2, -2, 0, 1, 4, -1, 0, 1, 1, 1, 0, 0, 2, -1, -1, 1, 1, 1, 1, -1, -1, -2, 0, 1, 0, 0, -1, 4, 0, -2, 0, 0, -1, -1, -2, 0, 0, 1, -2, -1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 4, 0, -1, 0, 0, 0, -2, 1, 1, -1, -1, -1, -1, 1, 1, 2, -1, -1, 0, 0, 1, -2, 0, 4, 1, 0, 1, 0, 0, 1, -1, 1, 0, 1, -1, 2, 0, 0, 0, 0, -1, 0, 1, 0, -1, 1, 4, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 1, 2, 1, 1, 2, 2, 2, -2, -2, -1, 0, 0, 1, 1, 0, 1, 1, 4, 2, -1, -2, -1, 0, 0, -1, 0, 0, 2, 0, 0, -2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 4, -2, -2, 1, 1, 1, 1, 1, 1, 2, 1, 0, -2, 1, 1, 0, 0, 1, 0, 0, -1, -1, -2, 4, 0, 0, 1, -1, 0, 1, -1, -2, -1, 1, 2, 0, 1, 0, 1, 1, 0, -1, -1, -2, -2, 0, 4, 0, 0, -1, -1, 0, -1, 0, -1, -1, 0, 0, -1, 1, -1, 0, -1, 1, 1, -1, 1, 0, 0, 4, 0, 1, 1, 0, 1, 1, 1, -1, -1, 1, -1, -1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 4, 1, 1, 2, 0, -1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, -1, -1, 1, 1, 4, 2, 0, 2, 1, 2, -2, -1, -1, 0, 0, 2, 0, 0, 0, 1, -1, 1, 0, -1, 1, 1, 2, 4, 1, 2, -1, 2, -1, 1, 0, 1, -1, 1, 1, 1, -2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 4, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, -1, 0, 2, 0, 1, -1, -1, 1, 0, 2, 2, 0, 4, 0, 2, -2, -1, -1, 0, 0, 0, 0, 1, 0, 2, 2, 2, -2, 0, 1, -1, 1, -1, 0, 0, 6, 0, -1, -3, 0, -1, 1, 1, 0, -1, 2, 2, 0, 1, -1, -1, 1, 0, 2, 2, 1, 2, 0, 4, -2, -1, -1, 0, -1, 0, 0, 1, 0, -2, 0, 0, 1, -1, -1, 0, -2, -1, 0, -2, -1, -2, 4, 2, 1, 1, 0, 0, 0, 0, -1, -2, -2, -2, 2, 0, -1, 1, -1, 1, 1, -1, -3, -1, 2, 6, 0, 1, 0, 1, 1, 0, -1, -1, 1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 2, 0, 1, 2, 0, -1, 0, 1, 1, 1, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 4, 0, 1, -2, 1, 1, 0, 0, 1, -1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 4, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, -2, 0, 0, 4, -1, 1, 1, 0, -1, 1, 0, 0, 0, -2, 0, 0, 2, 0, -1, -1, 0, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, 2, 0, -1, 1, 2, -2, 2, 1, 2, 0, 2, 1, -2, 1, -1, 1, 1, 1, 1, 4, 0, 2, 0, 1, -2, 1, 1, 1, -1, 1, 1, -1, 2, 0, -1, -1, 0, 1, 1, 0, 1, 0, 4, -1, -1, -1, 0, 2, 1, 1, 2, 2, 0, -1, 2, 0, -1, 2, 1, 2, 1, 2, 1, 2, -1, 4, 1, 0, -2, 0, 1, 1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 0, 1, 0, 2, 0, -1, 1, 4, 1, 0, -1, 0, -1, 1, -1, 2, 1, 1, 0, 0, 1, -2, -1, 1, 0, 0, 1, -1, 0, 1, 4, 0, 0, 0, 1, 0, 0, 2, -1, -1, 0, 0, -1, 1, 0, 1, 0, -1, -2, 0, -2, 0, 0, 4, -1, -1, 0, -1, -1, 1, 2, -1, 1, 1, 1, 0, -1, -1, 1, 1, 1, 2, 0, -1, 0, -1, 4, 0, 1, 0, 2, -1, -2, 1, 1, -1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, -1, 0, 4, 0, 2, 1, 2, 0, 2, -1, -2, 0, 1, 1, 1, 1, -2, 1, 1, 1, -1, 1, 0, 1, 0, 6, -1, 1, 0, -2, 0, -2, 0, -1, 2, 1, 2, 1, 2, -1, 2, 0, 1, 0, -1, 0, 2, -1, 6, 0, 2, 0, 2, 0, -2, 2, 0, 0, 1, 2, 1, 1, 2, 0, -1, 0, -1, 2, 1, 1, 0, 4, -1, -2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, -1, 2, 0, 2, -1, 6, 2, 2, 1, -2, 1, 0, -1, 1, 1, 0, -1, -1, -1, 1, -1, 2, -2, 0, -2, 0, -2, 2, 4, 1, 1, 0, 1, -1, -2, -1, 0, 2, 2, 2, 1, 1, -1, -1, 1, 2, 0, 2, 1, 2, 1, 6, 1, -2, 1, 0, 1, 2, 2, 1, 0, 0, -1, 0, 0, 1, 1, -1, -2, 0, 0, 1, 1, 1, 4, -1, 0, 0, 0, 0, 1, -2, -1, -1, -1, 0, 0, 1, -1, -2, 0, -2, 0, -2, 0, -2, -1, 4, 0, -1, -1, -1, -1, 1, -1, 2, -1, 1, -1, 1, 0, 0, -1, 2, 0, 1, 1, 1, 0, 0, 4, -1, 0, 0, 1, -1, 0, 1, -1, -2, 1, 0, 1, 1, 2, 0, 1, 0, -1, 0, 0, -1, -1, 4, 1, 1, 1, 1, 1, 2, 0, -1, 0, -1, 2, 1, 1, 0, 2, -1, -2, 1, 0, -1, 0, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 2, 1, 1, 1, -1, 2, 0, -1, 0, 1, 2, 4, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, -1, 1, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 1, 0, 2, 1, 1, 0, 1, 0, 2, -1, -1, 1, -1, 1, 0, 0, 2, 1, 4, 0, 1, 0, -1, 0, 0, 1, 2, -1, 0, 0, 0, 1, -2, 2, -2, 0, 0, -1, 1, -1, 0, 4, -2, 0, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, -1, -2, 0, -2, 0, 1, 0, 2, 1, -2, 4, -1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 0, -1, 2, 0, 2, -1, 0, 0, -1, 0, 0, -1, 4, 1, 2, -1, -1, 1, -2, -2, 2, -1, 2, 1, -1, -1, 0, 2, 0, 0, 1, -1, 1, 0, 1, 4, 0, 1, 0, 1, 1, 0, 0, 1, -1, -1, -1, -1, -1, 0, 2, 1, 0, 0, 0, -1, 2, 0, 4, 1, -1, 1, -2, 0, 2, 0, 1, 2, -1, 0, 0, 2, 0, 1, 2, 0, 0, 0, -1, 1, 1, 4, 0, 0, 0, 1, 0, 2, -2, -1, 0, -1, 0, 0, 0, 2, 1, 1, -2, 1, -1, 0, -1, 0, 4, 1, 0, 1, -1, 0, 0, 0, 2, -1, 0, -1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 4, -1, 0, 1, 0, 0, 0, 1, -1, -1, 1, 1, 2, 0, -1, 1, 0, -2, 1, -2, 0, 0, -1, 4, 1, -2, 0, -2, -1, -1, 1, -1, -2, 1, -1, 1, 0, 0, 1, -2, 0, 0, 1, 1, 0, 1, 4, -2, 0, 0, -1, 1, 1, -1, -2, 0, 0, 0, 0, 0, -1, 2, 0, 2, 0, -1, 1, -2, -2, 4, 1, 0, 2, -1, 0, 0, 2, 0, 1, 2, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, 1, 4, -1, -1, 0, -1, 0, 0, 0, 2, -1, 1, 0, 0, 2, -1, 1, -2, 0, 0, -2, 0, 0, -1, 6, -1, 1, -1, 1, 0, -2, -1, -1, -2, -1, -1, 1, -1, 2, -1, 0, 0, -1, -1, 2, -1, -1, 6, -1, 2, 0, 2, 1, 0, 1, 2, -2, 2, -1, -1, -1, 0, 2, 1, -1, 1, -1, 0, 1, -1, 4, -1, 1, -1, -1, 1, -1, -2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0, -1, -1, 2, -1, 4, 0, 0, 1, -1, 1, 0, -2, 2, 0, -1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 1, 0, 4, 0, -1, 0, 0, 0, 0, -1, 2, 0, 2, 0, -1, 1, -2, -2, 2, 0, 0, 2, -1, 0, 0, 4, 1, 1, 0, -1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, -2, 1, -1, 1, -1, 1, 4, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, -1, 0, 1, 2, -1, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, -2, -2, 0, 1, 1, -2, -1, 1, 1, -2, 1, -1, -1, 1, -1, -2, -1, 2, 2, 4, -2, -1, -1, -2, 0, -1, 0, -2, 1, 1, 2, -1, -1, 1, -1, 1, -2, -2, -1, 0, -2, -2, 4, 2, 0, 0, -1, 0, -1, 2, 1, -2, 0, 2, 1, -1, 2, -1, 2, 2, 2, 0, -1, -1, 2, 4, 0, 0, -2, 0, 1, 1, 2, -1, 0, 1, -1, 1, 1, 1, 1, 1, 1, 0, -2, -1, 0, 0, 4, 2, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, -1, 1, 1, 1, -2, -2, -2, 0, 0, 2, 4, 0, 0, 1, 1, -1, 0, -2, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, -2, 1, 0, 4, 1, 0, 0, -1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, 4, 2, 1, 0, 0, 0, 0, 2, -2, 0, 1, 0, 1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 2, 4, 0, 1, 1, 0, -1, -1, 1, -1, 2, -1, 0, 0, 1, -2, -2, 2, 1, 1, 1, 0, 1, 0, 4, 0, 0, 0, 2, 0, -1, 1, 0, 1, 2, 1, -1, -1, 1, 1, 2, -1, -1, -1, 0, 1, 0, 6, -2, 1, 2, -2, 1, 0, 1, -1, 1, 1, 0, 1, 1, -2, -1, 1, 0, 1, 0, 1, 0, -2, 4, 1, -1, 0, 1, -2, 0, -1, -1, 0, -1, 1, 2, 0, 0, 0, -2, -1, 0, 0, 0, 1, 1, 4, 0, 1, -1, -1, 0, 0, 0, 1, 0, -2, -1, 2, 1, 0, 0, -1, 0, -1, 2, 2, -1, 0, 4, 0, 0, 1, 0, 0, 2, 1, -1, 1, -1, 1, -1, 0, -1, 0, 2, -1, 0, -2, 0, 1, 0, 6, -4, 1, -1, 2, 1, 0, 1, -1, 1, -1, 1, 0, 1, 0, -2, 1, -1, 1, 1, -1, 0, -4, 6, 0, 1, -2, -1, 0, -1, -1, -1, 2, 1, -1, 0, -1, 0, -1, 1, 0, -2, -1, 1, 1, 0, 4, 0, 1, 1, 0, 1, 1, 1, -1, 1, -1, 0, -1, 1, 2, 0, 1, 0, 0, 0, -1, 1, 0, 4, -1, 0, -1, 0, -1, -2, 2, 1, 1, 0, 0, 0, -1, 1, -1, -1, 0, 0, 2, -2, 1, -1, 4, 1, 1, 0, -2, -2, 2, 1, 1, 1, 0, 1, 0, 2, 1, -1, 0, 2, 1, -1, 1, 0, 1, 4, 2, -1, -1, -1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, -1, 1, 2, 4, -1, 2, 0, 0, 0, -2, -1, -1, 1, 1, -1, 0, -1, 0, -1, 1, -1, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, -2, -2, 2, 1, -1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, -2, -2, 4, -2, 2, -1, 1, 2, 1, -1, -1, 1, 1, 0, -1, -1, -1, -1, 1, -2, 1, 1, 1, 2, -2, 4, -2, 0, -1, -2, -2, 0, 1, 0, -1, 0, 0, 1, 1, 1, -1, 1, -1, -1, -2, -2, 2, -2, 4, -1, 2, 2, 2, -1, 0, 0, 1, 1, -1, -1, -1, -2, -1, -2, -1, 1, 0, 1, -1, 0, -1, 4, 1, -1, -1, 0, 0, 0, -1, -1, 2, 1, -1, 2, -1, 1, 2, -1, 0, -1, 1, -1, 2, 1, 4, 1, 1, -2, 0, 0, -1, -1, 1, 1, -2, -1, -2, -1, 1, -1, 0, -2, 2, -2, 2, -1, 1, 4, 1, 0, -1, 0, 1, 1, 0, 0, 0, -2, -1, -2, 1, 1, 1, -2, 1, -2, 2, -1, 1, 1, 4, -1, -1, -1, 1, 1, -1, -1, 0, -1, 0, -1, -1, -1, 0, 2, -1, 0, -1, 0, -2, 0, -1, 6, -1, 0, 2, 0, 0, -2, 2, 0, 1, 0, 1, 3, 1, 1, -1, 1, 0, 0, 0, -1, -1, -1, 4, 0, -1, 1, 1, 1, -1, 1, -1, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, -1, 1, -1, 0, 0, -1, -1, 0, 0, 2, 0, 1, -1, 1, -1, -1, 1, 1, 2, -1, 0, 4, 2, -1, -1, 0, 0, 2, -2, -1, 1, 1, 0, 0, 0, 1, -1, -1, 1, 1, 0, 1, -1, 2, 4, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, -1, 2, 1, 0, -1, 0, 1, 1, -1, -1, 4, 1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, -1, 1, 1, 0, -1, -2, 1, -1, -1, 0, 1, 4, -1, 0, -1, 1, 0, -2, 0, 0, -1, 1, -1, -1, -2, 0, 0, 2, -1, 0, 0, 0, 0, -1, 4, 0, 0, 0, -1, 1, 0, 2, -1, 1, -2, 2, -1, -2, -1, 0, 1, 0, 0, 0, 1, 0, 0, 4, 1, 1, 1, -1, 0, 1, 1, -1, -1, -1, -2, -1, 0, 1, -1, -1, 2, 0, -1, -1, 0, 1, 6, 0, 0, 2, 0, 1, -2, 1, -2, 1, -1, -2, -1, 0, 1, -1, -2, -1, 0, 1, 0, 1, 0, 4, 0, -1, 0, 1, 1, -1, -1, 2, 1, 1, -1, 1, 0, 0, -1, -1, 1, 0, -1, 1, 0, 0, 6, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 3, -1, 0, 1, 0, -1, -2, 1, -1, 2, -1, 1, 6, -1, -2, 1, -2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, -1, 2, 1, -1, -2, -1, 0, 1, 4, -1, 0, 2, 1, -1, 1, 0, 1, 0, -1, 2, 2, -1, 1, 1, -1, -2, -2, 1, 1, -1, -1, 4, -1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, -1, 4, 0, 0, 1, -1, -2, 1, -1, 0, 0, 0, 1, 1, -2, 0, -1, 2, 0, -1, 1, 2, 0, 0, 4, 2, 1, 0, 0, 0, -1, -1, 0, 2, 0, 1, 1, -1, -2, -2, 1, 1, 2, 1, 0, 0, 2, 4, 2, 0, 0, 0, 1, 1, 0, 1, 0, -1, 2, 1, -1, -1, -1, -1, 1, -1, 0, 1, 1, 2, 6, -2, 0, 0, 0, 2, 0, 2, 1, 0, -1, 2, 0, -1, -2, 1, 0, 1, 1, -1, 0, 0, -2, 4, 0, -1, 1, 0, 0, -1, -2, 1, 1, 0, -1, 0, 0, -2, 1, 0, 1, -2, 0, 0, 0, 0, 4, -1, 1, -1, 1, 2, 0, -1, 1, 0, 0, -2, 0, 1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 4, 0, 0, 0, 1, 1, 0, -1, 1, -1, -1, 0, 0, 1, 0, 1, -1, -1, 1, 0, 1, 1, 0, 4, 0, 0, 0, -1, -2, 1, 0, 1, 0, 0, -1, 1, -1, 0, 0, -1, 1, 2, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, -2, -1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 2, 0, 1, 1, 0, -1, -1, 0, 1, 2, 2, 1, 0, 2, 1, 2, -1, 2, 1, 0, 0, 2, 6, 1, 0, 0, 0, -2, -4, 0, 1, 1, -1, 0, 1, 0, 0, 1, -2, 0, 1, -1, 0, 0, 1, 4, -1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, 0, 1, -1, 0, -2, 0, 1, 0, -1, 4, -1, 0, -2, 0, 0, 0, 2, 1, 0, -2, 1, 2, -1, 1, 1, -1, 1, 0, 1, 0, -1, -1, 4, 0, 0, -1, 0, 0, 1, -1, 0, 0, -1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, -2, -1, -1, -2, 0, -1, -2, -1, 0, -1, 0, -1, 1, 0, -1, -2, 0, -2, 0, 0, 4, 1, 0, 1, -2, -2, -1, 2, -2, -1, -1, 0, -2, -1, 0, 0, -1, -4, 0, 0, -1, 0, 1, 6, 1, -1, -1, 1, 0, 0, 1, -1, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 1, 4, 1, 0, 1, -2, -1, 1, -1, 1, -2, 1, 0, -1, -1, 1, 1, 0, 0, 0, -1, 1, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -2, -1, 1, -1, -1, -2, -2, 2, -1, -2, -1, 2, 1, -2, -2, -2, 0, 0, 1, 4, -1, 0, -1, -2, 1, 0, 1, -2, 0, 2, 0, 0, 0, 0, -1, -2, 1, -1, 1, 0, 2, -1, 4, -2, -1, 1, 0, -1, 0, 0, -2, 0, -1, -2, 0, 1, 1, -1, -2, -1, 0, 0, -2, 0, -2, 4, 1, -1, -1, 2, 0, 1, 2, -2, 0, 2, 1, -2, 0, 1, 1, 0, 0, -1, -2, -1, -1, 1, 6, 3, -2, -1, 1, 0, 1, 1, 1, 3, -1, -1, -1, -1, 1, 3, 1, -2, -1, -2, 1, -1, 3, 6, -1, -2, -1, 0, -1, -1, 2, 0, -2, 1, 1, 1, -1, 3, -1, -1, 1, 1, 0, -1, -2, -1, 4, 1, -1, 0, -1, 1, -1, -1, 0, 2, -1, 1, 1, -1, -1, 2, -1, 0, -1, 2, -1, -2, 1, 4, 0, 2, 1, -1, 0, 1, 2, -1, 0, 2, 2, 0, 0, 1, -1, 1, 0, 0, 1, -1, -1, 0, 4, 1, 0, 0, 0, 1, 1, -1, -2, -2, 2, 0, 1, 0, -2, -2, 0, 1, 0, 0, 0, 2, 1, 4, 1, -2, 0, 1, 2, -1, 0, 2, 1, 1, -1, 1, -2, 0, -2, 2, 1, -1, -1, 1, 0, 1, 4, -1, 1, 2, 1, -2, 0, 1, 0, 0, 0, -1, 2, 2, 0, -2, 1, -1, 1, -1, 0, -2, -1, 6, 0, 0, -1, 1, -1, -3, 1, 0, 1, 0, -1, 0, -1, 0, 1, 2, -1, 0, 0, 0, 1, 0, 4, 1, -1, 0, 1, 1, 1, 2, -1, 0, -2, 0, -2, 2, 3, 0, -1, 1, 1, 1, 2, 0, 1, 4, 0, -2, -1, 0, 2, 2, 0, -1, -1, 0, 0, 1, -1, -2, 0, 2, 1, 2, 1, -1, -1, 0, 4, -1, 0, 1, 1, 0, 1, 0, 2, 0, 1, -2, -1, 1, 2, -1, -1, -1, -2, 1, 0, -2, -1, 4, 0, 0, -1, -1, -1, 1, 1, -1, 1, 0, -1, 1, -1, 0, -2, 0, 0, -1, 1, -1, 0, 0, 4, 1, -2, 1, 0, 0, -2, -2, -1, 1, -1, 1, 1, 2, -2, 2, 1, -3, 1, 0, 1, 0, 1, 6, 1, 1, -2, 1, -2, 1, -2, 1, 1, -1, 1, 2, 2, 1, 0, 1, 1, 2, 1, -1, -2, 1, 6, 1, 0, 1, -2, -1, -1, 0, 3, 3, -1, 0, 0, 1, 0, 0, 2, 2, 0, -1, 1, 1, 1, 6, 1, 0, 0, 1, 0, 0, 1, -1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, -2, 0, 1, 4, -1, 0, 0, 0, -1, -2, -1, 2, 1, 0, 1, -1, 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, 1, -1, 0, -1, 2, 0, 0, 0, 0, 0, -1, 2, -1, -1, 1, 0, 0, -2, 4, -2, 2, -1, -1, 1, 1, 0, -2, 0, 1, 1, 1, -1, 0, -1, 0, 0, 0, 1, 1, 2, -2, 4, -2, 0, 0, -1, -1, 0, 2, -1, 0, -1, 0, 1, 1, 1, 0, -1, 0, -1, 1, -2, 2, -2, 4, 0, -1, 2, 0, 1, -2, 1, 1, 1, 1, -1, 0, -2, 1, 0, -1, 0, 0, 1, -1, 0, 0, 4, 0, 0, 1, 0, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, 4, 1, -1, -2, -1, 1, -2, -1, -2, 1, -1, 2, -2, -1, 2, -1, 0, -1, 1, -1, 2, 0, 1, 4, 0, -1, -1, 2, -1, -1, -1, 1, 0, -1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 4, 1, 1, 1, 0, 1, 0, -1, -1, 0, 1, 2, -1, 1, -1, -1, 0, 0, 1, 0, -2, -1, 1, 4, 1, 0, 1, 0, 0, -1, 0, -1, 2, 1, -2, 0, -1, 2, -2, 2, -2, 2, -1, -1, 1, 1, 6, 1, -1, -1, -1, 1, -1, 0, 1, 1, -1, 0, -2, 0, 0, -1, 1, 1, 1, 2, 1, 0, 1, 4, -1, -1, -1, 1, -2, -1, 0, 1, 0, -1, -2, 0, 1, 0, 1, 0, -2, -1, 0, 1, -1, -1, 4, 1, 2, -2, 1, -1, 0, -1, -1, 1, 1, 0, 1, -1, 1, 1, -1, -1, 1, 0, -1, -1, 1, 4, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, -2, -1, 0, 0, -1, -1, 2, 1, 4, -2, 1, -1, 1, -1, -1, 1, 1, 0, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -2, -1, -2, 4, -1, 0, -1, 1, 1, -2, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, -1, -2, 1, 0, 1, -1, 4, 0, 0, -1, 0, 1, 2, 2, -1, 1, -2, -1, 2, -1, 0, -1, 0, -1, -1, 0, -1, 0, 0, 4, -1, -1, 1, 0, 1, -1, 0, 0, 1, 0, -2, -1, 1, 2, 1, 0, 0, 0, 1, -1, 0, -1, 4, 1, -2, 0, -1, -1, 0, -1, 0, 1, -1, 0, 2, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 4, -1, 0, -1, 1, 0, 0, -1, 0, 2, 1, -1, -2, -1, 0, -1, 0, -1, 1, 0, 1, -2, -1, 4, 1, 1, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, -1, 1, 1, 1, -2, 1, 0, 0, 0, 1, 4, 0, 0, 1, 1, 0, -1, 0, 0, -1, -1, -2, -2, 1, 1, 1, 0, 2, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 0, 1, 1, -1, 0, -1, -1, -1, 2, 0, 1, 1, 2, 1, 0, -1, 0, 2, 1, 1, 4, 1, 1, 1, 1, -1, 1, -2, -2, 1, -1, -1, 0, 0, 0, 2, 0, -2, 0, 2, 1, -1, 1, 4, -1, 0, -1, 1, 2, 0, 0, 2, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 1, -1, 4, -1, 0, -2, -1, 0, -1, 0, -1, -2, -1, -1, -1, 2, 1, -1, -1, 1, 0, 1, 1, 0, -1, 4, 1, 0, 0, -2, -1, 0, 2, -1, -1, -1, 2, 0, -2, -2, 2, -1, -1, 1, 1, -1, 0, 1, 4, -2, -1, -2, 0, -1, 2, -1, 1, 1, 1, 1, -1, -2, 1, -1, 0, -1, -1, 1, -2, 0, -2, 4, 0, 1, 0, 0, -1, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 1, 2, -1, 0, -1, 0, 4, -1, -1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -2, 0, 0, -2, -2, 1, -1, 4, 1, 0, -2, 1, 0, 0, -1, -1, 1, 2, -1, 1, 1, -1, -2, 0, -1, -1, 0, 0, -1, 1, 4, -1, 1, 0, 1, 1, 0, -1, 0, 1, 0, -2, -1, -1, 1, 2, 0, 0, -1, 0, 2, 0, -1, 4, -2, 1, 0, -1, -1, 0, 1, 0, -1, 0, 0, 2, -1, -1, -1, 2, 2, -1, 0, -2, 1, -2, 6, -1, 1, 0, 2, 0, -2, -1, 2, -2, -1, 0, -1, 0, -2, -1, -1, 1, 1, 1, 0, 1, -1, 4, 1, 1, 0, -2, 1, 2, -1, 1, 0, 1, 0, 0, -1, -1, 1, 0, 0, 0, 1, 0, 1, 1, 4, 2, 1, 0, 1, 0, -1, 1, 1, 1, 0, 0, -1, -1, 1, 0, 0, 0, 1, -1, 0, 1, 2, 4, 1, 0, 0, 0, -1, 1, 1, 2, 0, -1, -1, 2, 1, 0, 0, -1, 0, -1, 2, 0, 1, 1, 4, 1, -1, -1, 1, 0, 0, 1, 2, 0, 2, 0, 1, -2, 1, -1, -1, 0, 0, -2, 0, 0, 1, 4, 0, -1, 0, 1, 1, 0, 0, 1, 1, -2, -1, 0, 0, 1, 0, 1, -2, 1, 1, 0, -1, 0, 4, 1, -2, 2, 1, -1, -2, 0, -1, -2, -2, 1, 1, 2, 1, 0, -1, 2, 0, 0, -1, -1, 1, 4, -1, 0, 0, 0, 0, -1, -1, 2, 1, 0, 0, -1, 0, -1, 2, -1, -1, -1, 1, 0, -2, -1, 4, -1, -1, 2, 2, 0, 1, -1, -1, 0, 0, 1, -2, 0, -2, 1, 1, 1, 0, 1, 2, 0, -1, 6, 2, 1, 1, 1, 0, -1, 0, 0, 0, 1, -1, 0, -1, 0, 1, 1, 0, 1, 1, 0, -1, 2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, -2, -1, 1, -2, 1, 0, -1, -1, -1, 0, 1, 1, 1, 1, -1, 1, 0, 4, -1, -1, 1, 2, 0, 2, 1, 1, 1, -1, 2, 2, -2, 0, -1, 1, -1, 1, -2, 1, 1, -1, 4, 0, 0, 0, -1, -1, 1, 0, 1, -1, 0, 1, 1, 1, -1, 0, 0, -1, 1, 0, 2, -1, 0, 4, -2, -1, -2, -2, -1, -2, 0, 1, -1, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, -2, 4, 2, 2, 1, -1, 2, -1, -1, 1, 2, 0, 0, -1, -1, -2, -1, 0, 0, -1, 2, 0, -1, 2, 4, 1, 2, 1, 1, 1, -2, 2, 1, 0, 0, -2, 1, -1, 1, 0, 0, -2, 0, -1, -2, 2, 1, 6, 2, 1, 2, 1, -2, -1, -1, -1, -2, 1, -2, -2, -1, 2, -1, -1, 2, -1, -2, 1, 2, 2, 6, 3, 1, 1, -1, 2, 2, -2, -1, -2, 1, -1, 0, -2, 1, 1, 1, 1, -1, -1, 1, 1, 3, 6, -1, 2, -2, 1, 1, -1, -2, -1, 2, 1, 0, -1, -1, -2, 1, 0, -2, 2, 1, 2, 1, -1, 4, 0, 0, 1, 2, 0, 0, -1, -1, -2, -1, 0, 0, 1, 1, 1, 0, -1, 1, 1, 1, 2, 0, 4, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -1, -2, -2, -1, -2, 0, -1, 4, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 2, 0, -1, 1, 2, -1, 2, 1, 1, 0, 0, 4, 2, 0, 0, -2, 2, -1, 1, -2, 0, -1, 2, 1, -2, 2, 1, -1, 2, 1, 2, 0, 0, 2, 6, 0, 0, -2, 1, -1, -1, -3, 0, -1, -2, 1, 1, 0, 0, -1, -2, -1, 0, -1, 1, 0, 0, 4, 0, -1, 0, 1, 0, 1, -1, 0, 0, 1, 1, 0, 0, -2, -1, -2, 0, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 2, 1, -1, -1, 1, -1, -2, 1, -2, -1, -1, 0, 0, -2, -2, -1, 0, 4, -1, 0, 0, 1, 0, 1, 1, 0, 1, -1, 1, -2, 1, 2, -1, 0, 0, 2, 1, 0, 0, -1, 4, 1, 2, -1, 0, 1, -1, 0, 1, -2, -1, -2, -1, 1, -2, -1, 0, -1, -1, 1, 0, 0, 1, 4, 0, 0, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 2, 0, 4, 0, 0, -1, -2, 1, 1, 0, 0, 2, -2, -1, 0, 0, -1, -2, -3, 1, 1, 1, -1, 0, 0, 6, -1, 1, 1, 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 2, 0, -1, 2, 1, 0, 2, 0, 1, 1, 2, -1, 0, 0, 0, 2, 2, 1, 2, 4, 0, -1, 0, 0, -1, 2, 2, 0, 2, -1, 1, 2, 0, -1, 1, -1, 1, 2, 2, 0, 0, 0, 4, 2, -1, -1, -1, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 2, 1, 0, -1, 0, 0, -1, 2, 4, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, 2, 1, 0, -1, -1, 2, 0, -1, 0, 4, 0, -1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 1, -1, -1, 0, 0, 1, 0, 0, -1, 0, 0, 4, -1, 1, 1, 0, 1, 0, 1, 0, -2, -2, 2, 0, 0, 1, 2, 1, -1, -1, -1, 0, -1, -1, 4, -1, -1, 1, -1, -1, -1, 0, 1, 0, 0, -1, 1, -1, -1, -2, 2, 2, 0, 0, 0, 1, -1, 4, 2, -1, 2, -1, 0, 1, 1, -1, 0, 0, 0, 2, 3, 1, 1, 2, -1, -1, 1, 1, -1, 2, 4, 0, 1, -1, 1, 1, -1, 0, 1, -1, -1, 1, 1, 1, 0, 0, 0, -1, 0, 0, 1, -1, 0, 4, -1, -1, 1, 1, 0, 0, 1, 0, 1, -1, 0, 0, 2, 2, 0, 0, 0, 1, -1, 2, 1, -1, 4, -1, 1, 0, 1, -1, 0, 0, 0, 2, 2, 1, 0, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, 4, 0, -1, -1, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, -1, 0, 1, 1, 1, 0, 4, 0, 0, -1, 1, 0, 1, 1, 0, 1, 1, 2, 0, -1, -1, 0, 0, 1, 1, 1, 0, -1, 0, 4, -1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, -2, 1, 1, -1, 0, 1, -1, 0, -1, 6, 0, -2, -1, 1, 1, 0, 1, -1, -1, 0, -1, 0, -2, 0, -1, 0, 0, -1, 0, -1, 0, 0, 4, -1, 0, -2, -1, -1, 1, 0, 1, -1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, -2, -1, 4, -1, 1, 0, 1, 0, 0, -1, 2, 2, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, 0, 1, -2, 1, 0, 4, 0, 0, -1, 2, 2, 0, 0, 0, 1, -1, 2, 1, -1, 2, -1, 1, 1, 1, -1, 0, 0, 0, 4, 3, 1, 2, 2, -1, -1, 0, 2, -1, 3, 1, 0, 2, -1, 0, 2, 0, -1, 1, 0, 0, 3, 6, 1, 1, 0, 0, -1, 1, 1, -2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, -1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 1, 1, -1, -1, 0, 0, 1, 2, -2, -2, 0, -1, 1, -1, -1, 1, 2, 2, -1, 4, -1, 0, 0, -2, 0, 1, -1, 1, 0, 0, 1, 2, -1, -1, -2, 1, -1, -1, -1, -2, 0, -1, 4, 0, 0, 0, -1, 1, 0, -1, -1, 0, 1, 1, -1, 2, 1, -2, -1, 2, -1, 2, 2, 0, 0, 4, 2, 1, 0, 0, 1, -1, 1, 2, -2, -1, 0, -2, 0, 0, -2, 0, 2, 2, 1, 0, 0, 2, 4, -1, 0, 0, 2, 1, 2, 1, -1, -2, 0, -1, 0, 0, -1, 0, 1, 1, 1, -2, 0, 1, -1, 4, 1, -1, 0, -2, -1, 1, -2, -1, 0, -1, 0, 0, 1, 0, 2, 2, -1, 0, -1, 0, 0, 1, 4, 0, 1, -1, 0, -1, 1, 1, 1, -1, -2, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, -1, 0, 4, -1, 1, -1, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, -1, 0, 1, 2, 0, 1, -1, 4, -1, 2, 0, 1, -1, 1, 0, 1, 0, -1, 0, -1, 1, 0, 1, -1, -1, 1, -2, -1, 1, -1, 4, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, -1, 1, 0, -1, 1, 2, -1, 0, -1, 2, 0, 4, 0, 1, -2, 1, 0, 1, 0, -1, 0, -1, -1, 2, 0, 0, 2, 1, 1, -1, -1, 0, 0, 0, 4, -3, 0, -1, -1, 0, 1, -1, -1, 2, 1, -2, 1, 1, -2, -1, -2, 1, 0, 1, -1, 1, -3, 6, 2, 0, 2, 0, -1, -1, 1, -4, -1, -2, 2, 1, -1, -2, -1, 1, 0, -1, -1, -2, 0, 2, 6, -1, 1, -2, 1, -1, -1, -2, -1, 0, -1, -1, 0, 0, 0, 1, 1, 1, 0, 1, -1, 0, -1, 4, 0, 0, -1, 0, 0, 0, 0, -1, -1, 2, -2, -1, -1, -1, 0, 0, 0, 0, -1, 2, 1, 0, 4, 2, -1, 0, 1, -2, 0, 1, -2, 1, 0, 0, 0, -2, -1, 1, 0, 1, 0, 0, -2, 0, 2, 4, -1, 0, 1, 0, 1, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 1, -1, -1, -1, 4, 1, -2, 1, -2, -1, -1, -1, -2, -1, 1, 0, 0, -1, 1, -1, -1, -1, -1, 0, 0, 0, 1, 4, -1, 1, -1, 1, -1, 2, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, -1, 0, 1, 1, -2, -1, 4, 0, 2, 2, -1, -1, 2, 1, 2, -1, 0, -1, 1, -1, 2, -4, -2, 0, -2, 0, 1, 1, 0, 6, 1, 2, -2, 2, 2, 1, 2, 1, 0, 1, -1, -1, 1, -1, -1, 0, 0, 1, -2, -1, 2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 1, 0, 2, -1, 0, -2, 2, -1, 0, -1, -2, 2, -1, -2, 2, 2, -2, 1, 2, 4, 0, 2, -1, -1, 0, 0, -1, -2, 2, 1, 1, -1, -2, 2, 1, -2, 2, 2, 0, 0, -1, 0, 6, -3, -2, 2, -1, -2, -2, -1, -1, -1, 0, 1, 1, -1, -1, 2, -1, 1, 2, 2, 2, 2, -3, 6, 0, -2, 0, 1, 1, -1, 3, 0, 2, 0, 0, 3, 0, -2, 3, 2, -2, -1, 1, -1, -2, 0, 4, -1, 1, 1, 2, 0, 0, -1, -2, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, 2, -2, -1, 4, 1, -2, -2, 1, -1, -1, 0, -1, -1, -1, -1, 1, -1, -1, 1, 1, 2, 0, -1, 0, 1, 1, 4, 0, 1, -1, 0, -1, 0, 0, -2, 0, -1, 0, 0, 0, -2, 1, -1, 0, -2, 1, 1, -2, 0, 4, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1, 0, -1, -2, 1, 2, -2, 1, 1, 4, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, -2, -2, -1, -1, 0, 1, -1, 1, -1, 4, -1, 0, -1, -1, 1, -1, 0, 1, -1, -2, 1, -1, 2, 2, -1, 3, 0, -1, 0, 0, 0, -1, 4, -1, 1, 0, 0, 2, 0, -1, 2, 2, 0, 0, -1, 1, -1, 0, -1, -1, -1, 1, 0, 0, -1, 4, 0, -1, 0, 0, 2, -1, 0, -1, 1, -1, 0, 1, 0, 2, -2, 0, 0, 0, 0, -1, 1, 0, 4, 1, 0, 1, 0, 0, 1, 1, 0, 1, -1, -1, 1, 0, 0, -1, 0, 0, 1, -1, 0, -1, 1, 4, 2, 0, -1, 2, 0, 0, 0, 1, -2, -2, 1, 0, 0, -1, -2, 1, 0, 1, 0, 0, 0, 2, 6, -1, -1, 2, -1, 0, 0, 1, 2, 2, -1, 3, 0, -1, 0, 0, 0, -1, 2, 0, 1, 0, -1, 4, -1, -1, 2, 2, 0, 0, -1, 1, -1, 0, -1, -1, -1, 1, 0, 0, 0, 2, 0, -1, -1, -1, 4, -1, 0, -1, 1, -1, -2, -2, 2, -2, 0, 1, 0, 0, 0, 1, -1, -1, 0, 2, 2, -1, -1, 4, -1, -1, 2, 1, 2, 2, -1, 3, 0, -1, 0, 0, 0, -1, 2, 0, 1, 0, -1, 2, 0, -1, 4, 2, -1, 0, 2, 2, 1, 2, 0, -1, 0, 0, 0, -2, 2, -1, 1, 0, 0, 2, -1, -1, 2, 4, -1, 1, -2, 0, 2, -2, -1, 1, -2, -1, -1, 1, 0, 1, 0, 0, 0, 0, 1, 2, -1, -1, 6, -1, 1, 0, 2, -1, -1, 1, 1, -1, -1, -1, 0, -1, 1, 1, 1, 0, -1, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, -1, -1, 1, 2, -2, -1, 1, 0, 1, 1, 2, 2, 2, 1, -1, -1, -2, 2, 1, 4, 1, -1, -2, -2, 2, 0, 0, -1, -1, 1, 2, -1, 2, 2, 0, 1, 1, -1, -2, 0, -2, 1, 4, -2, 1, -1, 1, -2, 1, 1, -1, 0, 1, -1, 0, 0, -1, -1, 0, 1, 1, -2, 1, -1, -2, 4, 0, 0, 0, 2, -1, 1, 2, 1, 0, 2, -1, 1, 1, 1, 1, -1, 0, 0, -1, -2, 1, 0, 4, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 1, 1, 0, -1, -2, -1, 0, 0, 4, -2, 0, 1, 0, 0, -1, -1, 1, -1, -2, -1, 0, -1, 0, 2, 0, 1, 2, 1, 0, 0, -2, 4, 1, -1, -1, 0, 0, 1, 0, 2, 3, 1, 1, 1, -1, -2, 0, 2, 0, -2, 2, -1, 0, 1, 4, -2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, -2, -2, 0, -2, 0, 1, -1, 0, 1, -1, -2, 4, 1, -2, 1, 0, -1, 0, -1, -2, 0, 1, 1, 2, -1, -1, -1, 1, 1, 0, 0, -1, 0, 1, 4, 0, 1, 0, 1, -1, 0, -1, 0, 0, 0, 2, -2, 1, -1, -1, 2, 0, 0, 0, 2, -2, 0, 4, -1, 0, 1, -2, 0, 2, 0, -1, 0, -1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 1, 1, -1, 4, 1, 0, 0, 0, -1, 0, 1, 0, 1, -1, 1, 2, 1, 0, -1, -1, 1, 0, 0, 0, 0, 1, 4, 1, 2, 2, 1, 1, 0, -1, 0, 0, 1, -1, -1, 2, 0, 1, 0, 2, -1, 1, 1, 0, 1, 4, 1, 2, 1, 2, 0, -2, 1, 0, 2, 2, 0, -1, 0, -1, 2, 0, 0, -1, -2, 0, 2, 1, 6, 4, 0, 1, 1, -1, 0, 2, 2, 2, 0, 1, 0, -2, 3, 2, -1, 0, 0, 0, 2, 2, 4, 6, 1, 2, 2, -2, -1, 1, 2, 0, -1, 1, 0, -1, 1, 2, -2, -1, 2, -1, 1, 1, 0, 1, 4, 1, -1, -1, -2, 1, 1, 1, -1, 1, -1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 4, 1, -2, -1, 0, -1, 1, 0, 1, 0, -1, 1, 0, 1, 0, -1, 1, 0, 0, 1, 2, -1, 1, 4, -1, 0, 0, -1, -1, 1, -1, 1, 0, -1, -2, 1, 0, 0, 0, -1, -2, -1, -2, -1, -2, -1, 4, 2, 0, -2, -2, 1, 0, 1, 2, -2, -2, 2, 2, -1, 1, 0, 1, 0, -1, -2, -1, 0, 2, 6, -1, 2, 0, -2, 0, 0, 0, 0, 0, -1, -2, 0, -1, 0, 0, 2, 1, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 1, 2, 0, 0, -1, 0, 1, 1, 2, 0, -2, 2, -1, 0, -2, 0, 0, -1, 0, 4, -1, -2, 0, 0, -2, 2, 0, 2, 0, -1, 0, 0, 0, 0, 0, -2, 0, 2, 1, 0, 1, -1, 4, 0, -1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, -1, 2, 0, 0, 1, 1, 0, -2, 0, 4, -1, 0, 2, -2, 0, -2, 1, -1, 0, -1, -1, -1, 1, 1, -1, -2, -1, 1, 1, 0, -1, -1, 4, -1, -1, -1, -1, -1, -1, 0, 1, -1, -2, 2, 1, 0, 0, -1, 0, -1, 2, 0, 2, 0, -1, 4, 0, 0, 1, 0, 2, 2, 1, 0, -1, 1, -2, 0, -1, 0, 0, 1, 0, -2, 1, 2, -1, 0, 4, -1, 1, -1, 1, 1, 0, 1, 0, -1, -1, 1, 0, -1, -1, 1, 0, 2, 0, -2, -1, 0, -1, 4, 1, 2, -1, 0, -1, 1, 2, 0, -1, -1, 1, 2, 0, 0, -1, 0, 1, 0, -1, 1, 1, 1, 4, 0, 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 2, 0, 2, 0, -2, -1, 0, -1, 2, 0, 4, -1, 0, 0, 0, 2, 0, -1, -1, 0, 2, 0, 0, 1, 0, 1, 1, -1, 2, 1, -1, 0, -1, 4, 0, 1, 0, -2, -1, 0, 0, -1, -1, 1, 0, 1, -1, 2, -1, 0, 2, 1, 0, 0, 0, 0, 6, 1, 0, 1, 1, -3, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, 1, 4, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 1, 1, 1, 0, 0, 0, -1, 4, 0, 0, -1, 0, 0, 1, 1, 0, -2, 0, 1, -1, -2, -1, 0, 2, 0, 2, -2, 1, -1, 0, 6, -2, -1, 0, 2, 2, -1, 1, 2, 0, 0, -1, 2, 1, -1, 0, 0, 0, -1, 1, 1, 0, -2, 4, 0, 0, -1, 0, 0, 0, -1, 0, -1, 1, 1, -2, -1, -1, -1, -1, 0, -3, 0, -1, -1, 0, 4, 0, 0, -1, 1, 0, 0, -2, 2, 1, 0, 0, 1, -1, 0, -1, 0, 2, 0, 0, 0, 0, 0, 4, 0, -1, 1, 0, -2, 0, 0, -1, 0, -1, 0, 1, 2, 0, -1, 0, 0, 0, 2, -1, 0, 0, 4, 0, 0, 1, 0, 2, 0, -2, -1, 0, -1, 2, 0, 2, -1, 0, 0, 1, 2, 0, -1, -1, 0, 4, 1, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 1, -1, 0, 1, 1, 0, 1, 4, -1, -1, 0, 1, 1, -1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, -2, -1, -1, 1, -1, 1, 0, -1, 0, -1, 1, 2, 0, 2, -1, 0, 4, -1, -1, 1, 2, 1, 1, 2, -1, -2, 1, 2, 1, -2, -1, -1, 1, -1, 2, -1, 0, 1, -1, 4, 0, 0, 0, 0, 0, 0, -1, 2, 1, -1, 1, 1, -1, 0, 0, -1, -2, 2, 1, 2, -1, 0, 4, -2, -1, 0, -2, -1, 0, 2, -2, -1, -1, -1, 0, 0, 1, 2, 0, 2, -1, -2, 1, 0, -2, 4, 2, -1, 2, 1, 1, -2, 1, 0, 1, 1, 0, 1, -1, -2, -1, 0, 2, -1, 2, 0, -1, 2, 4, 1, 1, 2, -1, -1, 2, 0, 2, -1, 0, -1, 1, -1, 1, 0, 1, 1, 1, 0, 0, -1, 1, 4, -1, 1, -1, 0, 1, 2, 1, -1, 1, -1, 2, 1, 1, 1, 0, -2, 1, 0, -2, 2, 1, -1, 4, 2, 1, -2, 2, -1, 1, 1, 0, 0, -1, -2, -1, -2, 0, -1, 2, 0, -1, 1, 2, 1, 2, 4, -1, -1, 1, 1, 2, -1, 0, 0, 1, -1, 1, -1, 0, -1, -1, -1, 0, 1, -1, -1, 1, -1, 4, 0, -1, 0, 0, 2, 0, 0, -2, 0, -2, -1, 0, 1, -2, 2, 2, -2, -1, 0, -2, -1, 0, 6, 0, -1, -1, 0, -1, -1, -1, 1, -2, 2, -1, -1, 1, 1, -2, 1, 2, 1, 2, 1, -1, 0, 6, -2, 1, -1, -1, -1, 0, -1, -1, 0, 1, 1, 2, -1, -1, 0, 0, 2, -1, 1, 0, -1, -2, 6, 0, -1, 0, -1, 1, 1, 1, -1, -1, 0, 1, 1, -1, 1, 2, 1, 1, 2, 0, -1, 1, 0, 4, 0, 0, 0, 1, -1, 0, 0, 1, -1, -2, 1, -1, 1, -1, -1, 1, -1, 2, 0, -1, -1, 0, 4, 1, 1, -2, -1, -2, 0, 1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 1, 4, 0, 0, 1, 1, 1, 0, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, -1, -1, -1, 0, 1, 0, 4, 0, -1, -1, 0, 1, 1, 1, 0, 1, -1, 1, 2, -1, 1, -2, -1, 0, 1, 1, -2, 0, 0, 4, 1, 2, 1, 0, 2, -1, -1, 2, -2, -1, 1, -2, -1, 0, 1, -1, 1, -1, -1, 1, -1, 1, 4, 0, 1, -1, 0, 2, -2, 0, -1, 1, 1, -1, 1, -2, -2, -1, 1, 0, -2, 1, -1, 2, 0, 6, 0, 0, 2, -1, 2, 2, 0, 0, 1, -2, -1, -1, 2, 0, -1, 0, 0, 1, 0, 1, 1, 0, 6, 1, -1, 0, 1, -1, 2, 1, 0, 0, 0, 0, -1, 1, -1, 1, 1, 0, 1, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 0, 1, -1, 0, -1, 2, 0, 2, 0, -1, 0, 2, -1, -2, 1, -2, 1, 2, 6, 1, 1, 2, 2, -1, 0, 2, 1, 2, -1, -1, 2, -1, 2, 0, 0, -2, 0, 1, -2, -1, 1, 6, -3, 1, 2, 1, -2, 2, 2, -1, -1, 1, -1, -2, 2, -2, 3, 1, -3, -1, -3, 2, 1, -3, 6, -2, -1, 1, 1, -1, -1, 2, 2, 1, 2, 1, -1, 1, 0, -2, 0, -1, 0, 0, 2, 1, -2, 4, 0, -2, 0, 1, 0, 1, -2, -1, 0, 0, 0, -1, -1, 1, 1, 1, 0, 0, 2, 2, -1, 0, 4, -1, 0, 2, 2, 0, -1, -1, 1, 0, 1, -1, 0, -1, 0, 1, -1, 1, -1, 1, 1, -2, -1, 4, -2, -1, 0, 0, 1, 3, -1, -1, 0, 1, 2, 0, -2, -3, 0, -1, 0, -2, 1, 0, 0, -2, 4, -1, 0, 0, 1, -3, 1, 1, -1, 0, -2, 0, 2, 3, 1, 0, 2, 2, -1, 1, 2, -1, -1, 4, 0, 0, -1, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, -1, 1, 2, -1, 0, 2, 0, 0, 0, 4, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, -2, 2, 2, -1, 2, 1, 0, 0, 0, 0, 0, 4, -1, 1, 1, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, -1, 2, -2, -1, 1, 1, -1, -1, -1, 4, -1, 1, 0, 0, 0, 1, -1, -1, 0, 0, 2, -1, 1, 1, -1, -1, 3, -3, 0, 0, 1, -1, 6, -2, -1, 0, 1, 1, 0, -1, -4, 0, 0, 2, -1, 2, 0, 1, -1, 1, 0, 0, 1, 1, -2, 4, 1, 0, -1, 1, -1, -1, 2, -1, -1, -1, -2, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 4, -1, -1, -2, 0, 1, 1, 1, 0, 2, 2, -1, 0, 1, 0, -1, 2, 1, -1, 0, 0, 0, -1, 4, 0, 1, -1, -1, 0, -2, 2, 0, -2, 1, -1, -1, 1, 0, -2, 0, 1, 0, 1, -1, -1, 0, 4, -1, -1, 1, -1, 2, -1, 0, 3, 0, -1, 0, 2, -2, 0, 1, 0, 1, 1, 1, -2, 1, -1, 6, 1, -4, -1, -3, -2, -2, 1, -2, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 1, 4, -1, 0, 0, 1, 0, -3, 0, 1, 0, -2, 2, 0, -1, 0, -1, -1, -1, 1, -1, 1, -4, -1, 6, 2, 3, -2, 1, -1, -1, 1, 1, -3, 3, 0, 0, -1, 0, -4, 2, 1, 0, -1, -1, 0, 2, 6, 0, 1, -2, -3, 0, 0, -1, 0, 1, -2, -2, 0, 0, 0, -1, 1, -2, 2, -3, 0, 3, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -1, 1, -2, 0, -1, 2, -1, 2, -1, 1, -1, -2, 1, 2, 1, -2, 2, -1, 1, 4, -1, -1, -2, 2, -2, 0, -2, 1, 0, 2, -2, -1, 0, -2, -1, 2, 2, -1, 2, 0, 2, -1, 4, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0, 0, 1, -1, 1, -1, 0, 4, 1, -1, -1, 0, 1, 0, 0, -1, 1, 2, 0, 1, 0, 1, 0, -2, -1, 0, -1, -2, 0, 1, 4, -2, 1, -1, 2, -2, 0, -2, 2, 0, 1, 2, 1, 0, 0, 1, 0, -1, 1, 2, 0, -1, -2, 4, -2, -1, -2, 1, -1, 1, -2, 0, 0, -2, -1, 0, 0, -1, 1, 1, -2, -2, -1, -1, 1, -2, 6, 2, 2, 1, 0, 0, 2, 1, -1, 1, 1, -3, 0, 2, -3, -1, 0, 0, 0, 0, -1, -1, 2, 4, 0, 2, -1, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -1, -2, 0, 1, 2, -2, 2, 0, 4, 0, 1, -2, 2, 0, 0, 1, 0, 0, 0, 1, -1, 0, 2, 1, 0, 0, -2, 1, 1, 2, 0, 6, -2, 3, 0, 1, -3, -1, 1, -1, 1, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 1, -2, 4, -2, 0, 0, 1, 0, -1, 1, 0, 0, 1, 1, 2, 2, 1, -1, -2, 1, 0, 2, -2, 3, -2, 6, 0, 0, -3, -2, 1, 0, 2, -1, 1, -1, -1, -2, 0, 1, 2, -2, 2, 0, 2, 0, 0, 0, 4, 0, 0, 1, 1, -2, 0, 1, -1, 0, 1, -1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 4, -1, 0, 1, -1, 0, -1, -1, -1, -1, 0, -1, 0, 1, 0, -1, -2, 0, -3, 1, -3, 0, -1, 4, 0, 0, 0, -1, 0, 1, 0, -2, -2, -1, 1, 2, -2, 1, 0, 1, -1, 0, -2, 1, 0, 0, 4, 0, -1, -1, 1, -2, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 1, -1, 1, 1, 1, 0, 0, 4, -1, 0, 0, 1, -1, 2, 2, 1, 1, 0, 0, -3, 0, 0, -1, 1, 0, -2, -1, 0, -1, -1, 6, 2, -2, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, -1, -1, 0, 2, 4, 0, 1, -1, -2, -1, 0, -2, 1, -1, 2, 0, 1, 0, 0, -1, 1, -1, 0, 1, 0, -2, 0, 4, -1, 0, 2, 2, 1, -1, 0, 1, -3, -2, -1, -1, 1, 1, -1, -1, 1, -2, 1, 3, 1, -1, 6, -1, -1, 0, -1, 0, -1, 1, -1, 0, 0, 0, 1, -1, 0, -1, 0, 0, -1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 1, 0, 1, -2, 0, 2, 1, 1, 1, 0, 1, 0, -1, -1, 1, 0, 0, -2, 4, -2, -1, -1, 1, 0, -2, 1, 0, -2, -1, 0, -2, 1, -1, -1, 1, 1, -2, -1, 1, 2, -2, 4, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, -1, 1, 4, 2, -1, -1, -1, 1, -1, -1, -1, -2, 2, 0, -1, -1, 0, 1, 2, 0, -1, 1, -1, 2, 2, 4, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 1, 1, -1, -1, 4, 1, 0, -1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, -1, 1, 4, 0, -1, -1, 0, -1, 1, 0, 1, 1, -1, -2, -1, 0, -1, -1, 1, -2, 2, -1, 1, 0, 0, 6, 1, 2, 2, 1, 2, 2, 0, -1, 3, -1, 0, 2, 0, -1, -2, 1, 0, 1, 0, -1, -1, 1, 6, 2, 0, 0, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, 2, 2, 4, 0, 0, 1, 0, -1, 0, 2, 1, -1, 0, 1, 1, 2, -2, 2, -1, 1, 0, 0, 2, 0, 0, 6, 3, 0, 1, 1, 1, 0, 0, -2, 1, -1, 1, 1, -1, 0, -1, 0, 0, -1, 1, 0, 0, 3, 4, 1, -1, 1, 1, 1, 0, -1, -1, -1, 0, 1, 0, 0, -2, 0, 1, 1, 2, -1, 1, 0, 1, 4, -1, 0, 1, 1, -1, -1, -1, 0, -1, 1, -2, 2, 2, 1, -1, 0, 2, 0, 0, 1, -1, -1, 6, -1, -1, 0, 0, 0, 4, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, -1, 4, 0, -1, -1, 0, 0, -2, 0, 1, -1, 0, -1, 0, -1, 1, -1, -1, 0, 1, 1, 1, -1, 0, 4, 0, -1, -2, -1, 0, 1, 0, -1, 0, -1, 0, 0, -1, 3, 0, 2, 0, 1, 1, 0, -1, 0, 4, 0, 0, 0, 1, 0, -1, 1, -2, 0, -1, 0, -2, -1, 1, 1, 0, 0, -1, 0, -1, -1, 0, 4, 0, 0, 1, 1, -1, 1, 0, 1, 0, 0, -1, 0, 1, -1, -2, -1, -1, 0, 0, -2, 0, 0, 4, 0, 0, 0, 1, -2, 2, 2, 1, -1, 0, 2, 0, 0, 1, -1, -1, 4, 0, -1, 0, 0, 0, 6, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, -1, -1, 0, 0, -2, 0, 1, 1, 0, 1, 4, 0, 0, 1, 0, -1, 0, 0, -1, -1, 1, 1, 1, 0, -1, -1, 0, 1, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, -2, -1, 0, -1, 1, 0, -1, 0, 0, 1, 0, 2, -1, 0, 1, 2, -2, 4, -2, 2, -2, -1, 2, -1, 0, 0, -1, -1, 2, 1, 0, 0, 1, 0, 0, -1, 0, -1, 2, -2, 4, -1, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, -2, 2, -1, 4, -2, -1, 2, -1, -1, 1, 0, 0, 0, 0, -1, 1, -1, -1, 1, 0, -1, -1, 1, -2, 1, -2, 4, 0, -1, 0, 1, -1, 1, 1, 0, 0, 1, -1, 1, 0, 1, 1, 1, 1, -1, -1, 1, -1, 0, 4, 0, 2, -1, 1, -1, 0, 1, 0, -1, 0, -1, -1, 0, 0, 0, -1, -2, 2, 0, 2, -1, 0, 4, 0, 0, 0, -1, 0, 2, 0, -1, 0, 0, -2, 0, 0, -1, -2, -1, -1, 0, -1, 0, 2, 0, 4, 1, 1, -1, 0, -1, 0, 1, 0, -1, -2, 0, 0, 0, -1, 0, 0, -1, -1, 1, -1, 0, 1, 4, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1, -1, 0, -1, 1, -1, 1, 0, 1, 0, 4, -1, -1, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 1, -1, 0, 0, 1, -1, -1, -1, 0, -1, 4, 2, 0, -2, 0, -1, 0, 1, 0, 2, 1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 1, -1, 2, 4, -1, -2, 0, 0, -1, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 1, 2, -1, -1, -1, 0, -1, 6, 0, 0, -1, 2, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2, 0, 4, 1, 0, 0, 0, 1, -2, 1, 0, 0, 0, -1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 1, 4, -1, 1, 0, 0, -1, 1, 1, 1, 0, 1, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 4, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 1, -1, 0, -1, 0, 0, 0, -1, 2, 0, 1, -1, 4, 1, -1, -1, 0, 1, 2, 0, 0, -1, 0, -1, -2, -2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, -1, 0, 1, 2, -1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, 4, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 1, -1, 2, 2, -1, -2, -1, 0, -1, 0, 0, 4, 1, 0, 1, 0, 0, -1, 1, 0, -1, 0, 1, -1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 4, 1, 2, -1, 0, -1, 1, -1, -2, -1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, -1, 1, -2, 2, 0, 2, -1, 2, 2, -2, -1, -2, -2, 2, -2, 1, 2, -1, 1, 4, 2, 1, -2, 2, 1, 0, 0, 1, 1, 1, 1, -1, -1, 1, -1, 1, -2, 1, 0, -1, 1, 2, 4, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, -1, -2, 1, 0, 1, 0, 2, 0, -2, -1, 1, 0, 4, -2, 1, 0, 0, 0, -2, 2, -2, 1, 1, 0, 2, 1, -2, 1, 0, -1, 0, -1, -2, 0, -2, 4, -2, 0, 0, 0, 1, -1, 1, -2, 1, 0, -1, 1, 1, 1, 0, -1, 0, 1, 2, 2, 1, -2, 4, 0, -1, 0, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -2, 1, 0, 0, 0, 0, 4, -2, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -2, 1, 2, 0, 0, 0, 0, -1, -2, 4, -1, 2, -1, 2, 1, -1, -1, -1, -1, 2, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 4, -1, 0, 1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 2, 1, 1, -2, 1, -1, -1, 2, -1, 6, 0, 4, 1, -1, -1, -1, 0, 4, -1, 1, 0, -1, -1, 1, 1, 2, -1, 1, 1, -1, 0, 0, 4, -1, 0, 1, -1, 2, 1, -1, 0, 1, -1, -1, 2, 1, 1, -2, 1, -1, -1, 2, 1, 4, -1, 6, 1, 0, -2, -1, -1, 4, -2, 1, 1, -1, 2, 1, 0, 1, -2, 1, -1, 1, 0, 1, 0, 1, 4, -1, 0, -1, 0, 1, -1, 0, 1, 0, -2, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 0, -1, 4, 1, 1, 1, -1, 0, 0, -1, 0, -1, -1, -2, 0, 0, -1, 1, -1, 0, -1, -1, -2, 0, 1, 4, -1, 1, -1, 1, -2, -1, 2, -2, 1, 1, 2, -1, 1, 1, -1, 0, -1, 2, -1, -1, 1, -1, 4, 1, -1, 1, 1, -1, -1, -2, -1, 0, 1, 1, -1, 1, -1, 0, 0, 1, -1, 0, 1, 1, 1, 4, -1, 2, -1, -2, 1, 2, 1, 1, -2, 1, -1, -1, 2, 1, 4, -1, 4, 1, -1, -1, -1, -1, 6, -2, 2, 1, -1, -2, -2, 0, 1, 1, -1, -1, -1, -1, -1, 0, -2, -1, 0, 1, 1, 2, -2, 6, -1, -1, 1, 1, 1, 2, 0, 0, 1, -1, 1, 0, 1, 1, 1, 0, 0, -2, 1, -1, 2, -1, 4, 1, -2, 2, 0, 0, -1, -1, 1, -2, 0, 1, 0, -1, 1, 1, -1, -1, -1, -2, 1, -1, 1, 4, -1, -1, -1, -2, 0, 0, -1, 1, -1, 0, -1, -1, -1, 0, 0, 2, -1, 1, -1, 1, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, -2, 1, -2, 2, 2, -2, 2, 2, 0, 4, -2, -2, -2, -1, -1, -2, 1, 1, 1, 0, -2, 1, 0, -2, -1, 1, 1, -2, 0, 2, 0, -2, 4, 1, 1, 2, -1, 1, 1, -2, -2, 0, 1, 1, 0, 1, 2, -2, -2, 1, 0, -1, -1, -2, 1, 4, 0, 1, 0, 2, -1, -1, -1, -1, 2, -1, 0, 2, 1, -2, -2, 2, 0, -2, 0, -2, 1, 0, 4, -1, 2, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 2, 0, 0, 0, -1, 2, 1, -1, 4, -2, 1, 1, 0, -1, 0, 1, 0, 0, 1, 2, -1, -2, 0, 0, -1, -2, -1, -1, 0, 2, -2, 6, -1, -1, -1, 0, 1, -1, 0, 2, -1, 0, 1, 1, 3, -2, -2, 0, -2, 1, 2, 0, 1, -1, 4, 0, 0, 0, -1, 2, -1, -1, 2, 0, -2, -2, 1, 1, 0, 0, 1, 1, -1, 0, 1, -1, 0, 4, 1, 0, 1, -1, 1, -1, -1, 0, -1, -1, -1, 1, 2, 0, 1, -2, -1, -1, 0, -1, 0, 1, 4, 1, 1, 0, -1, 0, -1, -1, 0, 1, -1, 0, 2, 0, 1, -2, -1, 1, -1, 0, 0, 0, 1, 4, -1, -1, -2, -1, -1, -1, 1, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 1, -1, 1, 1, -1, 4, 0, 1, 1, 0, 1, -1, -1, 0, -1, -1, 0, -2, 1, 2, 0, 1, -1, 2, -1, 0, -1, 0, 4, 0, -1, 2, 1, -1, -2, 0, 0, -1, 0, 1, 1, -1, -1, 0, 0, -1, 1, -1, -2, 1, 0, 4, 0, -1, 1, 0, -1, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, -1, -1, 0, -1, 1, -1, 0, 4, -1, 1, 0, 0, 2, -2, -1, 1, -2, 1, 2, 0, 1, -1, 2, -1, -1, -1, 0, 2, -1, -1, 4, 0, -1, -1, 1, 1, -1, -2, -1, 2, 1, 0, 2, 0, 0, 0, -1, -1, 1, 1, 1, 1, 0, 4, -2, -3, 1, -1, -3, 2, 1, -2, -2, 1, -1, 1, -2, -1, 0, 1, -1, -1, 0, 0, -1, -2, 6, 3, -1, 0, 2, 2, 1, -2, -2, 0, -2, 1, -2, -1, 1, 1, -1, -2, -1, 0, -1, -3, 3, 6, -1, 0, 2, -2, -2, 1, 2, 2, 0, 3, 1, -1, -1, 0, 0, 0, -2, 2, 1, 1, -1, -1, 6, -1, -2, 2, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, -1, 0, 0, -2, 1, -1, 0, 0, -1, 4, 1, 2, 2, -1, -2, 0, -1, -2, 0, 2, 2, 1, -1, -1, 0, -1, -1, -3, 2, 2, -2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, -2, 2, 1, 1, -2, 0, 0, 0, -2, 1, -1, 1, 1, -1, -2, 2, 1, 2, -1, 4, 0, -2, 0, 1, 1, -2, 2, 1, -1, 1, -1, -1, -1, -1, -2, -1, -1, 0, -1, -2, 2, 0, 4, -1, 0, 2, 0, 1, -2, 1, 1, 0, 0, 1, 0, -1, -1, -1, 0, 2, 1, 0, 1, -2, -1, 4, -1, 0, -1, 0, 0, -2, 1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 1, -2, 0, 0, -1, 4, -2, 0, -1, 0, 1, 1, 0, 2, -1, 1, -1, 0, 0, 2, -2, -1, 0, 2, 1, 2, 0, -2, 4, 0, 0, 0, 0, 0, 0, -2, 1, -1, 0, -1, -1, -2, 2, 0, 0, 1, 1, 0, -1, 0, 0, 4, 0, 1, 0, -2, 0, -2, 0, -2, 1, 1, 0, -2, 1, 0, 1, 1, -2, 1, 0, -1, 0, 0, 4, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, -2, 2, -2, 0, 0, 0, 1, -1, 6, -2, -2, -1, -2, 0, 0, 0, -2, -1, -2, -1, -2, 0, 0, 1, 1, -2, 1, 0, 0, 0, -2, 4, 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, 1, 1, 0, -2, 0, -2, 0, 4, 1, 2, -1, 2, -1, 0, -1, 2, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 4, 1, -1, -1, 0, 0, 0, -1, 0, 0, -2, -2, -1, 0, -1, 2, -2, -2, 0, -2, 1, 2, 1, 6, -2, 2, 0, 0, 1, 4, -1, 0, 0, 1, -1, 1, 0, -1, 1, 0, 2, 0, 0, -1, -1, -2, 4, -1, -1, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 1, -1, -2, 0, 0, -1, 2, -1, 2, -1, 4, -1, -1, 0, 2, -1, -1, 1, 1, -1, -1, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, 4, 2, 0, -1, 1, 1, 1, 1, -2, -1, 1, 0, -1, 1, 0, -2, 0, 0, 0, 0, 0, -1, 2, 4, 1, 0, 0, 1, 1, -1, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0, 1, 4, 1, 0, 1, 0, -2, -1, 0, -1, 2, -2, -2, 0, -2, 1, 2, -1, 4, -1, 2, -1, 0, 1, 6, -1, 0, 0, 2, 0, 2, 0, -2, 2, 1, 1, -1, 0, -1, 0, -1, 1, -1, 1, 0, 0, -1, 4, 1, 0, 1, -1, 1, 0, -1, 0, 0, 1, -2, 1, 0, 0, 0, 0, -1, 1, 1, 1, 0, 1, 4, -1, 2, -2, 0, 1, 0, 0, 1, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 2, 1, 1, 1, 2, -1, 1, -1, -2, -1, -2, -1, 0, -1, 0, -1, 1, 1, 4, 0, -2, 0, 0, -1, -1, -1, 1, 1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, -1, -1, 0, 4, 2, -2, -1, 1, 0, 1, -2, 2, 1, 0, 2, -1, 0, -1, 1, -1, -1, -1, -2, -2, -2, 2, 6, 0, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 2, 2, -1, 1, 1, 0, 0, 1, 0, -2, 0, 4, 2, -1, -1, 0, 3, -1, -1, 0, -3, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, -1, 0, 2, 4, 1, 1, 0, 3, -2, 1, 0, -3, 0, 0, 0, 0, -1, 0, -1, 1, 1, -1, 1, -1, -1, 1, 4, 1, 2, 0, 0, 1, 1, 1, -1, -1, -1, 0, -1, 0, -1, 0, 1, -1, 0, -1, -1, 1, 1, 4, 0, -1, 0, 1, 0, 1, -1, -1, -1, 1, -2, -1, -1, 0, 1, -1, 1, -1, 0, 0, 2, 0, 4, -1, 0, 0, 1, 0, -1, -1, -1, 0, -1, 0, -1, 0, 2, 1, -2, 0, 3, 3, 0, -1, -1, 6, -2, 1, 0, -3, 1, 1, 1, 0, 0, 0, 1, 1, -1, 1, 2, -1, -1, -2, 0, 0, 0, -2, 6, 0, 1, 3, 0, -1, -1, 1, 0, -1, 0, -1, 1, 1, 1, 1, -1, 1, 1, 1, 0, 1, 0, 6, -1, 0, 0, 0, 1, -1, 0, 1, -2, -1, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 1, -1, 4, 0, 1, 1, 0, 1, -1, -1, 0, 0, -2, -1, 2, 0, -3, -3, 1, 1, 0, -3, 3, 0, 0, 6, 0, 0, -1, 1, 0, -1, 1, -2, -1, 1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 1, 0, 4, 2, 1, -1, 0, 0, 1, 0, -2, 0, 0, 2, 0, 0, -1, -1, -1, 1, -1, 0, 1, 0, 2, 4, 2, 0, 0, 0, 1, 0, -1, -1, -1, 2, 0, 0, -1, -1, -1, 1, -1, 1, 0, -1, 1, 2, 4, -2, 1, 2, 0, 1, 0, 1, 1, -1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 1, -1, 0, -2, 4, -1, -2, 1, -1, -1, 0, -1, 1, 1, -1, -1, -2, -1, 0, 0, 0, -1, 0, 0, 0, 1, -1, 4, 1, 1, 1, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, 2, -2, 1, 4, 0, 1, -1, 0, -1, 0, 1, -1, -1, -1, -1, 1, 0, -2, 0, 1, 1, 1, 0, 1, 1, 0, 4, 0, 1, -1, -2, 0, 2, 1, 0, 0, 0, 1, -1, -1, 0, -2, 0, 0, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 2, 1, -2, -1, 1, 1, 1, 1, -1, 2, 0, -1, 0, 0, 1, 1, 0, -2, 4, 2, -1, 1, -1, -1, 2, 0, 1, -1, -1, 0, 1, -2, 0, 1, -1, 0, 0, 1, 1, -2, 2, 4, 0, 2, -1, -1, 2, 1, -1, -2, -1, 0, 1, -2, 1, 1, -1, 0, -1, 1, 1, 1, -1, 0, 4, 0, -1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 2, 0, -1, 1, 2, 0, 4, 1, 1, 1, -1, 1, -1, 1, 0, 2, -1, -1, -1, 1, 0, 1, -1, 2, 2, -1, -1, -1, 1, 6, 1, -1, 0, 1, 2, 2, 2, 0, 2, 0, -2, 0, 0, 2, -2, 2, 1, -1, -1, 0, 1, 1, 4, -1, -2, 0, 1, 2, 1, 1, 1, -2, 0, 1, 1, 1, -2, 1, -2, 2, 2, 0, 1, -1, -1, 4, 1, 1, -2, -2, -1, 1, -2, 1, 1, 0, 1, -1, 1, 1, -1, 0, 1, 0, -1, 0, -2, 1, 4, -2, -1, -2, -1, -1, 0, 2, 1, 0, -1, -2, 0, 0, 1, 1, -1, 1, 1, 1, 0, 1, -2, 6, 0, 1, 0, 2, -1, -1, -1, 1, 2, 1, 1, 1, 1, -1, -2, -1, -1, 2, 1, -2, -1, 0, 4, 1, 1, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1, -1, -1, 0, 1, 2, 2, -2, -2, 1, 1, 4, 2, 1, 1, -2, -2, 0, 1, 2, -2, 1, 1, 0, 0, 0, 0, 2, 1, -1, -1, 0, 1, 2, 4, 0, 0, 0, -1, -2, 0, 1, 0, 1, -1, 1, 1, 1, 2, 0, 1, 1, -1, 2, 0, 1, 0, 4, -1, -1, 0, 0, 2, 1, 0, 2, 2, -2, -2, -1, -1, 2, 1, -2, 0, -1, 1, 1, 0, -1, 4, -1, -1, 0, 0, 1, -2, 0, 0, 0, 1, 1, -1, 0, -2, 1, 2, -1, -1, -2, 0, -1, -1, 4, 1, -1, -1, -1, 2, 0, -1, 1, 1, -1, -1, -2, 0, 1, 1, -1, 0, -2, -1, 0, -1, 1, 4, 0, 0, -2, 1, 0, 0, -1, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, -2, 0, 0, -1, 0, 4, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 2, 0, 1, 0, 2, 0, -1, 0, 0, 4, 0, 0, 1, 1, 0, -1, 0, 1, 2, 1, -1, -2, 1, 1, 2, 1, 1, 1, -1, -2, 0, 0, 4, 0, 1, 1, 1, 1, 2, -1, -2, -2, 1, 0, 1, -1, -2, 0, 0, -2, 2, 1, -1, 0, 0, 6, -1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, -1, -1, 2, -1, -1, -1, 2, 0, 1, -1, -1, 1, -2, -1, 1, 2, 2, 1, -2, 4, -2, -2, 1, 2, -2, 2, -1, 2, 0, -1, 0, 2, 1, -2, 0, 0, -1, 0, 0, -1, 2, -2, 4, 1, 0, -1, 2, -1, 1, -1, 1, 1, 1, -1, -1, 1, 0, 0, 1, 1, 0, 1, 2, -2, 1, 4, -1, -1, 2, -2, -1, 0, 0, 1, 0, -1, 0, 2, -1, -1, 0, 0, 2, 1, -1, 1, 0, -1, 4, 2, 0, 0, -1, -1, 0, 1, 1, 0, -1, -1, 1, 2, -1, 0, 0, 1, -1, 2, -1, -1, 2, 4, -1, 1, -2, 1, 0, 1, 0, 1, -1, -1, 0, 0, -2, 0, 0, 1, 2, -2, 2, 2, 0, -1, 4, -2, -1, -1, 0, 1, 1, -2, -1, 2, 0, -1, 1, 0, 2, 0, -1, 2, -1, -2, 0, 1, -2, 4, 0, 2, 0, -1, 0, 2, 1, -2, 1, 0, 0, 0, -2, 0, -1, -1, 1, -1, -1, -2, -1, 0, 6, -2, 0, -1, 1, 0, 0, 1, 0, 0, 2, 0, -1, 0, -1, 2, -1, 0, -1, 1, -1, 2, -2, 6, 0, 1, -2, 1, 1, -1, 0, 0, -2, 0, -1, -1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, -1, 1, -1, 0, 0, -2, 0, 0, 2, 1, 1, 0, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 4, 0, -1, -2, 0, 1, 1, -1, -1, -1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, -2, 1, 0, 4, -1, 0, 0, 0, -1, 2, 1, 1, 1, -1, 2, -1, -1, 0, 1, -2, 2, 0, 1, -1, -1, -1, 4, 0, -1, 0, 0, -1, 0, 0, 0, -1, 1, -1, 0, -1, -1, -1, 1, 0, 1, 0, -2, 0, 0, 4, -1, 0, -1, 1, 0, -1, 0, 1, -2, 1, 2, -1, -1, 2, -2, 1, -1, 0, 0, 0, -1, -1, 4, 0, -1, 0, 0, 2, 1, -2, 0, 0, -1, 1, 0, 0, 1, 0, 0, -2, 1, 0, 0, 0, 0, 4, 1, 0, -2, -2, 0, -1, 0, 0, -1, 2, 0, -1, 0, 0, 0, 0, 1, -1, 0, -1, -1, 1, 4, -1, 0, -1, 0, 1, -1, 1, 0, -1, -2, 1, 0, 2, -2, 0, -1, 2, -1, 1, 0, 0, -1, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 0, 0, -2, 0, 0, 4, 2, 1, 2, 0, 0, 2, 0, 0, 2, -2, -1, -1, 1, -1, 1, 0, -1, 2, -2, -1, 0, 2, 6, 0, 1, -1, 1, 1, 1, 1, 0, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, -1, 2, 1, 1, 0, -2, 1, 2, -2, -1, -2, -1, -1, -1, -1, 1, -1, 0, 0, 4, 1, 0, -1, -2, -1, -1, -1, 1, -1, -2, -1, -1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 4, 0, -2, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1, 0, -1, 0, 2, 1, -1, -1, 0, 0, 4, -1, 0, 0, 0, 1, 2, 0, 0, 1, 1, -1, 1, 2, -1, 2, 1, 2, 1, -1, -1, -2, -1, 4, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, -1, 1, -1, -2, -2, 1, 2, -2, 0, 0, 0, 4, 1, 2, 0, -2, 1, 2, 0, 1, -3, 0, -2, -2, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 4, -1, -1, 1, -1, 1, 0, -1, 0, -1, 0, -1, 0, 0, -1, -2, 1, -1, 0, 0, 0, 2, -1, 4, 0, -1, 2, 1, 0, 2, -3, 0, -1, -1, 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, -1, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 2, 0, -2, 1, -1, 2, -1, -2, 1, -1, 0, 6, -2, -1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, -1, 0, 0, 0, 1, -1, 2, 0, -2, 4, 2, 0, 0, -1, -1, -1, -1, 0, 0, -1, 0, 2, -2, 0, 0, 0, 2, 1, 1, 0, -1, 2, 4, 0, 0, -2, -2, -2, -2, 0, 0, -2, 0, -2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 1, 0, -1, 0, -1, 1, 0, -1, -1, -1, 1, 1, 1, -1, 2, 0, 0, 0, 0, 1, 4, -1, 1, 0, -1, 1, 0, 1, 1, -2, 2, -1, -1, 1, -3, 0, -3, -1, 1, -1, -2, 0, -1, 6, 0, 1, 2, 1, 0, -1, 1, -1, 1, -1, 1, 1, 0, -1, 0, 0, 0, -1, -2, 1, 1, 0, 4, 2, 1, 0, 0, 2, 2, -1, 2, 0, 2, -1, -2, 0, -1, 0, 2, -1, -2, 0, 0, 1, 2, 4, 1, 1, 1, 2, 1, -1, 2, -1, -1, 1, -2, -1, -1, -1, 1, -1, -2, -1, -1, 2, 1, 1, 4, 0, 0, 0, 1, -1, 1, 0, 2, -1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 4, 1, 1, 2, 1, 2, 2, 1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 4, 2, 1, -1, 1, 1, 2, -2, 0, -1, 0, 2, 0, -1, -2, 1, 1, -1, 2, 2, 0, 1, 2, 6, 0, 0, 2, -1, 1, 1, 0, -2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, 1, 1, -2, 0, 1, -1, 0, 0, -1, 0, -1, 2, 0, 1, 0, -1, 1, -2, 4, 2, 1, 1, -1, -1, 2, 1, 0, 1, 1, 0, 0, -1, 0, -1, 1, -2, -1, -1, -1, -2, 2, 4, 1, 2, 0, -1, 2, 0, -1, 1, 1, -1, 1, 0, 1, -2, 1, -2, -1, 0, -1, 0, 1, 1, 4, 2, -1, 1, 1, 0, 1, 2, -1, -1, -1, 1, 1, 0, -1, -1, 1, -1, 1, -1, 1, 2, 2, 4, 0, 1, 1, 0, 1, 2, -1, -2, -1, 0, 2, -1, -1, -1, 1, 0, 1, 1, -1, 0, -1, 0, 4, 0, 0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 1, -1, -1, 1, 1, 0, 4, -1, -1, 1, 1, -2, -1, -1, 1, 0, 2, -1, 1, 1, 1, 1, -2, 2, 2, 1, 1, 0, -1, 4, 0, 0, 2, 1, -1, 1, -1, 1, -2, 1, -2, -1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 4, 1, 0, 0, -1, -1, -1, 0, 0, 1, 0, -1, -1, -1, 1, 0, -1, 1, 1, 1, 1, 0, 1, 4, 0, -1, 0, -1, -1, 0, 1, -1, -1, 1, 0, 2, -1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 4, -1, -2, -1, 1, 2, -1, -1, -1, 1, 0, 0, 0, 1, 1, -1, -1, 0, -2, 1, 0, -1, -1, 4, 0, 2, -1, 0, -1, 2, -1, -2, 0, 0, 0, 0, -1, -1, -2, -1, -1, -1, -1, 0, -2, 0, 4, 0, 0, -2, 1, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, -1, -1, 1, -1, -1, -1, 2, 0, 4, -1, -1, -1, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 1, -1, -1, -1, 1, -1, 0, -1, 4, 1, 0, -2, 0, 1, 1, 0, -1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, -2, -1, 1, 4, -1, -1, -1, 1, 1, 1, 2, -1, -2, 0, -1, -1, 2, -2, 0, 1, -1, -1, 1, -1, 0, -1, 4, 0, 1, 0, 0, 1, 0, 1, 1, -1, -1, 0, -1, 1, 1, -1, -1, 2, 0, 1, -2, -1, 0, 4, 0, -2, 0, -1, 1, -2, -2, -1, -1, 0, 1, -2, 0, -1, -1, -1, 0, 0, 0, -1, 1, 0, 4, 0, 0, 0, 0, -1, -1, 1, 1, 0, 1, -1, -1, 1, 1, -2, 0, -1, 1, 1, 0, -2, 0, 4, 1, 1, -1, -1, 0, -1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 4, 0, 1, -1, -1, 1, 1, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 1, -2, 1, 2, 1, -2, -2, 0, -1, 1, 0, 0, 0, 1, 0, -1, -1, 1, 1, 4, -1, 1, 0, 0, 0, 2, -1, -2, -2, 0, -1, 1, 1, 0, 1, 0, 0, -2, 0, 0, 0, -1, 4, -2, -1, 0, 0, -1, 2, 1, 2, 1, 1, 0, 0, -1, -2, 0, -1, -1, 0, 0, -2, 1, -2, 6, -1, 1, -2, -1, -3, 1, 1, -1, -1, -1, -1, 2, 3, -2, 0, -1, 2, 0, 1, 0, -1, -1, 4, -1, 2, 1, -1, -1, 0, 1, 0, 1, -1, -1, 0, 2, 2, -1, -2, -1, -2, 0, 0, 1, -1, 4, -2, -2, 0, 0, 2, 1, 0, -1, 0, 0, 0, -1, 1, 0, 1, -1, 1, 0, 0, -2, 2, -2, 4, 1, 0, 0, -1, 1, 0, 2, 0, 0, 0, 2, 1, 0, -2, -1, 2, 2, -1, -1, 1, -2, 1, 4, 0, -2, -2, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 1, -1, 2, -3, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, -2, 1, -1, 1, -1, 1, -2, -2, 1, 1, -1, 0, 0, -2, 0, 4, 1, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 0, -2, -2, 2, 1, 0, 2, -1, -2, 0, 1, 6, 1, 1, -2, -2, -1, 0, 0, 1, 0, 0, -2, 0, 0, 1, -1, 1, 1, 1, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 0, 1, -1, 0, -2, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, -1, -2, 1, -1, 1, 0, 0, 1, 1, 0, -1, 1, -1, 2, 1, 0, 0, -2, 1, 0, 4, 0, 1, 0, 0, 0, -2, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 4, 0, -1, 0, -1, 1, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 4, 2, -1, -1, 0, 1, 1, 0, 1, -2, 3, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -1, 2, 4, -1, 1, -1, 1, 0, 1, 0, 0, -2, 2, -1, 2, 1, 1, -1, 0, 0, 1, 0, 0, -1, -1, 4, 1, 1, -2, 0, 0, 0, -1, 0, 2, 1, 1, -1, -1, -1, 1, 1, -1, 0, -1, -1, 1, 1, 4, -1, -1, -1, -1, -2, -1, -1, -1, 0, 0, 0, 1, 0, 0, -1, 1, -2, 1, 0, -1, 1, -1, 6, 0, 0, -1, 0, 0, 2, -2, 1, -2, -1, -1, 1, 0, 0, 0, 0, 0, 1, 1, -2, -1, 0, 4, 0, 1, 0, 0, 0, -1, -1, -1, 0, 1, 0, -2, -2, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, -1, 0, -1, 1, -1, -1, 1, 0, -2, 1, 4, -1, 1, 2, 2, 1, 0, 0, 2, -1, 1, 2, -2, 1, 0, -1, -1, 1, 1, -1, -1, 0, -1, 4, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, 0, -2, -1, -1, 2, 1, -1, 4, 0, 1, 1, -1, 1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, -2, 1, 2, -1, 0, 4, 2, -1, 0, -1, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, 1, -1, 1, 1, 2, -1, 1, 2, 4, 0, 1, 1, 1, -1, 1, 0, -2, 0, 1, 0, -1, 0, 1, -1, 1, 1, 1, 1, 1, -1, 0, 4, 1, 2, 1, 1, 2, 0, -1, 2, -1, 0, 0, -1, 0, 0, -3, 0, 0, 1, -1, 0, 1, 1, 4, 0, -1, -1, 1, 1, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 1, -1, 1, 2, 0, 4, 2, 1, 2, -1, -1, 0, 1, -1, 0, 0, 0, 0, -2, 2, 2, 1, 1, 0, 1, 1, -1, 2, 6, 1, 1, 2, -2, 0, 1, -2, -1, 1, 1, 0, -2, 1, -1, 1, 0, 0, -1, 1, -1, 1, 1, 4, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, -2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 4, 0, -1, 0, 0, 0, -1, 0, 1, -1, -2, 2, 2, 1, 0, 2, 0, 0, 1, -1, 2, 0, 0, 6, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, -2, 1, -1, 0, -2, -1, 0, -1, -2, 0, -1, 0, 4, -1, 0, 1, 1, 0, -1, 1, 1, 0, 1, 1, 1, -1, 0, 2, 1, 0, 0, -1, 0, 0, -1, 4, -1, -1, 1, 0, -1, -1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 4, -1, 1, 0, -1, 0, 1, 1, -1, -1, 0, 1, 0, 0, 1, -1, -2, 0, 0, 0, 1, -1, -1, 4, -1, -1, 1, 1, 1, -1, -1, 2, 0, -1, -1, 0, 0, 0, -1, 0, -1, -1, 1, 1, 1, -1, 4, 0, -2, 0, 0, -1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 4, 0, -1, 1, 1, 1, -2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, -1, -1, -1, 1, -2, 0, 4, 1, 0, 0, -1, -1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1, 0, -1, 1, 4, -1, -2, -1, -1, -2, 1, 1, -3, 0, -2, -2, -2, -2, -1, 1, -1, 1, 1, 0, 1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 2, 2, 0, -1, 1, 1, 2, 1, 1, -1, -1, -2, 0, -1, -1, -2, 2, 0, -2, 4, -2, 2, -2, -2, 0, 1, 0, -1, -1, 0, -1, 0, 2, 0, 1, 1, -1, 2, -1, 1, 2, -2, 4, -2, 0, 0, 1, -1, 1, 1, 1, 1, 2, 0, 0, -2, 0, -1, -1, -2, 0, -1, -2, 2, -2, 4, 0, -2, 0, 2, -1, -1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, -2, 0, 0, 4, 2, 0, 0, 0, 1, 1, 0, 1, 0, -2, 1, 0, -1, 1, -1, 2, 0, 2, -2, 0, -2, 2, 4, -1, -1, 0, 0, 1, 0, 0, 0, -2, -1, -1, -1, 1, -1, 2, 0, 0, 0, 1, 0, 0, -1, 4, 0, 2, 2, -1, 0, -1, -1, -1, 0, -1, -1, -2, 0, -2, 0, -1, 1, -1, 2, 0, -1, 0, 4, 1, 1, 0, 0, 0, 0, 0, 1, 2, -1, -1, 1, 0, 2, 1, 0, 1, -1, 0, 0, 2, 1, 4, 2, 0, 1, -1, 0, 0, -1, 0, -1, -3, 0, 0, 0, 1, -1, 1, -1, 1, 0, 2, 1, 2, 4, 0, 0, -1, 0, 0, 0, 0, -2, -2, -1, 0, 1, 2, -1, 1, 0, 1, 1, -1, 0, 0, 0, 4, 2, 0, 0, 0, -1, 1, 0, 1, -1, 3, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 4, 1, 1, 0, -2, 1, -1, 0, -1, 1, 1, 1, -1, 2, 0, 1, 0, -1, 0, -1, -1, 0, 1, 6, 0, -1, 0, 0, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 4, 0, -1, 0, -1, 2, -1, 1, 0, -1, 2, 0, 0, -2, -2, -1, 0, 0, 0, 0, 0, -1, 0, 6, 1, 1, 1, -2, 1, 0, 0, -2, 0, -2, 2, 1, -1, 0, 1, -1, 0, -1, -2, 0, -1, 1, 6, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, -1, -1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 4, 0, 0, 0, 0, 2, -1, 1, -1, 1, -1, -1, -1, -1, -1, -2, 0, -1, -1, -1, 1, 1, 0, 4, 1, 2, 0, -1, -1, -1, -1, 1, 1, 1, -2, -1, -3, -2, 1, 0, 0, 2, -2, 0, 0, 1, 6, -1, 1, 0, -2, 2, -2, 2, -1, -1, 0, 1, 0, -1, -1, -1, -1, -1, 1, 2, 0, 2, -1, 4, 0, 0, 2, -1, 0, 0, 2, 2, -2, 0, 0, 0, 3, 1, 1, 1, 0, 0, 0, 0, 1, 0, 6, 0, 0, 1, -1, 1, 0, 0, 0, 2, 0, 1, 1, 1, -1, 0, 0, 0, 2, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, -1, -1, -2, -1, 0, -1, 0, 2, 1, 1, 2, 0, 0, -2, 1, 2, -1, 1, 0, 4, 1, -2, -1, -1, 2, -1, 0, -1, 0, -2, 1, -1, -2, 1, -2, -2, 1, 2, -2, -1, 0, 1, 4, -2, 1, 1, 1, 1, 0, 1, 0, 0, -1, -2, 1, 0, 1, -2, -1, 1, -2, -2, 0, -2, -2, 4, 1, 1, -2, 1, 0, 1, 0, 0, -1, 1, 1, 0, 1, 1, -1, -2, 1, 1, -1, -1, 1, 1, 4, 2, 0, 2, 1, 2, 1, 1, -2, -1, 1, 0, 2, 1, -2, -1, 0, 0, -1, -1, 1, 1, 2, 4, 1, 1, -1, 1, -1, 1, -1, 0, 2, 1, 2, 1, -1, -1, -1, -1, -2, 2, 1, -2, 0, 1, 6, 1, -2, 1, -2, 0, -1, -1, -1, 1, -1, 0, -1, 1, -2, 0, -1, -1, 1, 1, 2, 1, 1, 4, -1, 2, 0, 0, -2, -1, 0, -1, 2, 1, -2, -1, 0, 0, 0, 0, 0, 0, 1, -1, -2, -1, 4, 0, 2, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 2, 1, 1, 2, 0, 4, -1, 0, -2, -1, 0, 0, 2, 1, -2, -1, -1, 0, 0, 0, 0, 0, 1, -1, -2, 0, 2, -1, 4, -1, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 1, 1, 0, 0, -1, 0, -1, 6, 0, 0, 4, 0, 1, -1, 0, 0, 0, 2, 1, 1, -1, -1, -2, -1, -1, -2, 0, -2, 0, 0, 4, 0, -1, 1, -1, 0, 2, 1, 0, 0, 1, -1, -2, 1, -1, 0, -1, -1, 0, -1, 0, 0, 0, 4, 0, -1, 0, 1, 1, 0, 0, 1, 2, -2, 1, 1, 1, 2, -1, 0, -1, 0, -1, 4, -1, 0, 6, 0, 1, -1, -1, 0, -1, 1, 0, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, -1, 0, 4, 0, -1, 0, 1, 0, -1, 0, -2, 1, 1, 2, 2, -1, 2, 0, 2, 0, 1, -1, 0, 1, 0, 4, 1, -1, -1, 0, -1, -2, -2, -2, 1, 1, 1, 0, 1, 0, 1, 0, -1, 0, 1, -1, -1, 1, 6, 0, -2, 2, 1, 1, 1, -1, -1, -2, -1, -1, -2, 0, -2, 0, 0, 2, 1, -1, 0, -1, 0, 4, 1, 0, 0, 2, 2, 1, -2, -1, -1, 1, -1, 0, -1, 0, 0, 1, 0, 0, 1, -1, -2, 1, 4, -2, 0, -1, -2, -2, 1, 0, -1, -2, 0, 0, -1, 2, 0, 0, 0, -1, 0, 0, 2, 0, -2, 6, 0, 1, -1, -2, 1, 0, -1, 0, 0, 0, 0, 0, 2, 0, 1, 1, -1, -1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 1, -2, 1, -1, 0, 1, 2, -1, 1, -1, -1, 2, 2, 1, -2, 0, -2, -2, 4, -2, 1, -1, -1, 2, 1, 1, 1, 1, -2, -1, 1, 1, 0, -1, -2, -2, 2, 1, 1, 2, -2, 4, -1, 0, 1, -2, 1, 0, -1, 1, 2, -1, -1, 0, 0, 1, 2, 1, -2, -1, -1, 0, 1, -1, 4, 1, 1, 1, 1, 0, 0, -1, 1, 1, 1, 1, 1, 0, -1, -1, 1, 0, 0, 1, -1, 0, 1, 4, 2, -1, -1, 1, -1, 1, 2, 2, 0, 0, 0, 2, 1, 1, -1, -1, -2, 1, -1, 1, 1, 2, 4, -1, 0, 1, -2, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 0, -1, -2, 2, -2, 1, -1, -1, 4, 1, 0, 1, -1, -2, 1, 0, 1, 1, -2, -2, -2, 2, 0, 1, 1, 1, 1, 1, -1, 0, 1, 4, -1, 1, 1, 0, -2, 1, 0, 1, -1, -1, -2, 1, 0, -1, -1, 1, 0, 0, 1, 1, 0, -1, 4, -2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, -1, 0, -1, -2, 1, 1, -2, 4, 0, -2, -2, 1, 1, -1, 0, -1, -2, 1, 1, 0, 1, 1, 1, -1, 1, 1, -1, 1, 2, 0, 6, 0, -1, 0, -1, -1, 2, 1, 0, -1, -1, -1, 2, -2, 2, 1, 2, 1, -2, 0, 1, -2, 0, 6, 2, 0, 0, 1, 1, 1, 1, -2, -1, -1, -1, -1, -1, 1, 2, 1, 1, -2, 1, -2, -1, 2, 6, -2, 0, 1, 0, 1, 1, -1, -1, 0, 1, 1, -1, 1, 0, -1, 0, 1, 0, 1, 0, 0, -2, 4, 0, 0, 0, -1, -1, 1, 1, 0, -1, 1, 0, 1, 0, -1, 1, 0, 1, 1, -1, 0, 0, 0, 4, 0, -1, -1, 0, 1, -1, 1, -1, 0, 0, 1, 0, 1, 1, 1, 1, -1, -1, 1, 1, 0, 0, 4, -1, -1, -1, 1, 0, 1, 2, -1, 1, 0, 2, 1, -2, -1, 0, 0, 2, 1, 0, 0, -1, -1, 4, 2, 1, -2, 0, -1, 2, -2, 2, -1, 1, 1, -2, -1, 0, -1, 1, 1, 1, -1, -1, -1, 2, 4, 2, -2, 0, -1, 1, -2, 1, -1, 1, 1, -2, -2, 1, -2, 0, 1, 1, -1, 0, -1, 1, 2, 4, -2, -1, 0, -2, 2, -2, 1, -1, -1, 2, 1, 0, 1, -1, -2, -1, 1, 1, 1, -2, -2, -2, 4, 1, 1, 0, 1, -1, 0, -1, 0, 0, 0, -1, 1, -1, -1, -1, 1, -1, 0, 0, 0, -1, 1, 4, 0, -2, 1, -1, 0, -2, -1, 1, -1, 1, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 0, 0, -1, 1, -2, 0, -1, 1, 0, 1, -1, 2, -1, 1, 1, 1, 1, 2, 4, -1, -1, 1, 1, -1, -2, 0, -2, 1, 0, 0, 1, 2, 0, 1, 1, -1, -1, 2, 2, 0, -1, 4, 0, 0, -2, 2, 2, 0, 2, -2, -1, 1, 0, -2, 1, 0, 0, 2, 0, -2, -1, 0, -1, 0, 4, -2, 0, -1, 2, -1, -1, 0, 0, -1, -2, 1, -1, -1, -2, 2, 2, -2, 0, 0, 1, 0, -2, 4, -1, 0, -1, 0, -1, 0, 1, -1, 2, 1, 0, 0, 2, -1, -2, 0, 0, 0, 1, -2, 0, -1, 4, -2, 0, -1, -1, 2, -1, -1, 0, 2, -1, 1, 0, -2, 0, 2, 0, 0, -1, 2, -1, 0, -2, 4, 1, 0, 2, -2, -1, 2, 0, -3, 0, 1, 0, 0, 0, -1, 0, -1, -2, 2, 2, -1, 0, 1, 6, -1, 1, -2, -2, -1, 0, -1, 0, 1, -1, 2, 1, -1, -1, 1, 0, 0, -1, 0, -1, 0, -1, 4, -1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 1, 1, 0, -2, -2, 2, -1, -1, -1, 2, 1, -1, 6, -2, 0, 1, 1, -2, 2, 0, 1, 1, -1, 0, -2, 0, 1, -2, 0, 0, 2, -2, -2, -1, -2, 4, 1, -1, -1, 1, 0, -1, 0, -2, 0, 1, 0, -1, 0, -1, 0, 1, -1, -1, -2, 0, 0, 1, 4, -1, 0, 0, 1, -2, 0, -1, -1, 0, 0, 1, 0, 1, -1, -1, -1, 2, -1, 1, 1, -1, -1, 4, -1, -1, 0, 1, -1, 1, 1, 0, 1, 0, 1, 0, -2, 2, 0, 0, 0, 0, 1, -1, 0, -1, 4, 0, 1, 1, 2, -1, -2, 2, 0, 1, 2, -2, 1, 1, 2, -3, -1, -1, -2, 1, 0, -1, 0, 6, -2, 0, 0, 1, 0, 0, 1, -1, 0, 1, -1, 0, -1, 0, 0, 0, 2, 0, 1, 0, 1, -2, 4, 0, 1, 0, -1, 1, 0, 2, 1, 0, -1, 0, 1, 1, 1, 0, 0, -1, -2, 1, 1, 0, 0, 4, 0, 0, 0, 2, 1, -1, 1, 0, -2, 2, 0, 0, -1, -1, 1, 0, 0, -1, 2, 0, 1, 0, 4, -1, -2, 1, 0, 1, -1, 2, 2, -1, -2, 0, 2, 0, 1, -2, -1, 1, -1, 1, 0, 0, -1, 6, 1, -2, 0, 1, -1, 0, 2, -2, 0, 0, 1, 1, -1, 0, -1, 1, -2, 0, -1, 0, -2, 1, 4, 0, 0, 1, 2, -2, -2, 0, 2, -1, -1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, -2, 0, 6, 0, 1, 2, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, -1, 1, 0, 2, -2, 2, -1, 1, 1, 1, -2, -1, 0, 1, 1, -1, -1, 1, 4, 0, 1, -1, 0, -1, 0, 0, -2, 0, -1, 2, 1, 0, -2, 1, -1, 0, 2, -1, 1, -1, 0, 4, 0, 2, 0, 1, 0, 0, 1, 0, -1, 1, 1, 0, 2, -1, -1, -2, 1, -1, 0, 1, 1, 0, 4, -2, 1, 1, 1, 0, -1, 2, 1, 1, -1, 0, -2, -1, 1, 1, 1, 1, -1, -1, -1, 2, -2, 4, -1, 0, -1, 0, 2, 0, -1, -1, 1, 0, 3, -1, -1, -2, -1, -1, 0, -1, 0, 0, 1, -1, 4, -1, 2, -1, 1, -1, 1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, 4, 0, 2, 0, 2, 1, 0, 0, 1, 1, -2, 1, -1, 0, 0, -2, 0, 0, 0, 1, -1, 2, 0, 4, 1, 1, 0, 1, 0, 0, 2, 0, -2, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, -1, 2, 1, 4, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, -2, -2, 1, -1, 2, 1, 0, 1, 0, 4, 0, 1, -1, 0, 0, 3, -2, 1, -1, -1, 0, 0, 2, 0, 0, 2, 0, -1, 2, 0, 2, 0, 4, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -2, -1, -1, -1, 1, -1, 1, 1, 1, 0, 1, 0, 4, -1, -1, 1, 1, 0, 2, 0, -1, 1, -1, 1, 2, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, -2, 0, 0, 0, 2, -1, 1, 1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 1, -1, -1, -1, 1, -2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 4, 0, -1, 1, -1, 0, 0, -2, -2, -2, 2, -2, 3, 0, 1, 0, 0, 3, 0, 1, -2, 1, 0, 6, -1, 0, -3, -2, -1, -1, -1, 1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 0, 0, -1, -1, -1, 6, 0, 0, 0, 1, 1, 0, -1, -1, 1, -1, 1, 1, 1, 0, 1, 1, 2, 0, -1, 1, 0, 0, 4, 0, 0, 1, -1, 1, 0, -2, 1, -2, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, -3, 0, 0, 4, 0, 1, 1, 1, 2, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 2, 1, 0, -2, 0, 0, 0, 4, 0, 1, -1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -2, 0, -1, 1, 1, 1, 0, 4, -1, -1, 1, 0, -1, 0, 0, -2, -1, -2, 0, -2, -1, 1, 1, -2, -1, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -2, -1, -1, -2, -2, 1, 0, 0, -1, -2, 1, 2, 1, -2, 0, 1, 0, -2, 0, -2, 6, 2, 1, -1, -2, 0, 1, -3, -2, 1, 0, 1, -2, -1, -1, 3, -1, 0, 1, 2, -1, 0, 2, 4, 0, 0, 0, -1, -1, -1, -2, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, 2, 1, -2, 1, 0, 4, 2, 0, 2, 2, 1, 0, 1, 0, 2, -1, -2, 0, 2, -1, -1, 1, 0, 1, -1, -1, 0, 2, 4, 0, 1, 1, 2, 0, -1, 0, 1, 1, -1, 0, 1, 1, -2, -1, 0, 2, -1, -2, 0, 0, 0, 4, 1, 0, 1, 1, 0, 1, 1, 0, -1, 0, -2, 0, -1, 0, 0, 1, -2, 0, -1, 2, 1, 1, 4, 2, 0, 1, 0, 0, 1, 0, -1, -1, 2, 0, -1, 0, -1, 1, -2, 1, -1, 2, 1, 0, 2, 4, 1, 0, 1, -1, 1, 0, -1, -1, 1, -1, 0, 1, -1, 1, 1, -3, -1, 1, 2, 1, 0, 1, 6, 1, 1, 0, 1, 1, -1, 2, -3, -1, 0, 1, -1, 2, 0, -2, -2, 0, 0, 1, 1, 0, 1, 4, 1, -1, 1, -1, 0, 0, 0, 1, 0, -1, -1, 0, 0, 1, 0, 1, -1, 0, 0, 1, 1, 1, 4, 0, 1, -2, 0, 1, -1, -2, 1, 2, -1, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 4, 0, 0, -1, 1, -1, -1, -1, 0, 2, 0, -2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 4, -2, -1, 0, 1, -1, 0, 1, 1, 1, 1, -2, 0, -1, 1, 0, 0, 0, 1, -1, -2, 0, -2, 4, 0, 0, -1, 1, -1, -1, 0, 1, 2, -1, 0, -2, -1, -1, -1, -1, -1, 0, 0, -1, -1, 0, 4, -1, -1, 0, 2, 0, -2, 0, 1, -1, -1, 0, 0, 0, -1, -1, 2, 0, 1, 1, 0, 0, -1, 4, -1, -1, 0, 1, 0, 0, -2, 3, 0, 2, 1, -2, 2, 1, -3, 0, -1, -1, 1, -1, -1, -1, 6, 1, -1, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, -1, -1, 1, -2, -1, -1, 1, 0, -1, 1, 4, -1, -2, 1, 0, 1, 0, -1, -1, -2, -1, -1, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1, -1, 4, 1, -1, -1, 0, 1, 0, 1, -1, 0, 0, 1, 1, -1, 2, 0, 1, -1, 0, 1, -1, -2, 1, 4, 0, 0, -2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, 2, 1, 0, -2, 0, 1, 1, -1, 0, 6, -1, 0, -1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, -2, 1, -1, 0, -1, -1, 1, -1, 1, 1, -1, -2, 1, -1, 0, 0, 4, -1, -1, 1, 2, 1, 1, 0, -2, -1, 1, -1, 0, 2, 1, -2, -1, 1, 1, 2, 2, 1, -1, 4, 0, 0, 0, 0, 0, 2, 0, -1, 1, 0, -1, -2, 1, 2, 1, -2, -1, -2, 0, 2, -1, 0, 4, -2, -1, 0, -2, -1, 1, 1, -1, -1, 2, -1, 0, 2, -1, -1, 1, -2, 0, -2, 1, 0, -2, 4, 2, -1, 2, 0, -1, -1, 0, 0, -2, 2, 0, -1, 0, 2, 0, 1, 1, -1, 2, 0, -1, 2, 4, 1, 1, 0, -2, -2, 0, 0, -1, 1, 0, -2, 0, 1, 0, 2, 2, 1, 1, 0, 0, -1, 1, 4, -1, 1, -2, -1, -1, 1, 1, 1, 1, 0, 1, 0, -1, 0, 1, -2, 1, 0, -2, 2, 1, -1, 4, 1, 0, -1, 1, -1, -1, 1, -1, 0, 1, 1, -1, 1, 1, 1, 0, 2, -1, 0, 0, 1, 1, 4, -1, -2, 0, -1, -1, 0, 1, 1, 2, -1, -2, 0, 1, -1, -2, 0, 1, -1, -2, -2, 0, -1, 4, 1, 1, 0, 0, -2, -1, 2, 0, 0, 0, -2, -1, 0, -1, -1, 1, -1, -2, -1, -1, -2, 1, 4, -1, 1, 1, -1, -1, 1, -1, 0, 1, 0, -1, -1, 1, 1, -1, 0, 0, -1, 1, 0, 1, -1, 4, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, 0, 1, -1, -1, 0, 1, 0, 4, -1, -1, 0, 0, 1, 0, -1, 0, -1, 1, 0, -1, 2, -2, -1, 1, -1, -1, 0, 1, -1, -1, 4, 1, 0, 0, -1, 0, 1, -1, 0, -1, 2, -2, -1, 2, 1, 1, 1, 0, -2, -1, -1, -1, 1, 6, 0, -2, -1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 4, -1, 0, -1, 0, 0, 1, 1, -2, 2, 2, -1, -2, 0, 0, 1, 2, 1, 0, 0, 0, -2, -1, 6, 1, -1, -1, -3, 0, -1, -1, 1, -1, 0, 0, 1, 1, 2, 0, -1, 0, 1, -1, -1, 0, 1, 4, 0, -2, 0, 0, -2, 1, -2, -1, 2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 2, -1, -1, 0, 4, 0, 1, 1, 1, 1, -1, 1, 0, 0, -1, -1, -2, 0, 1, 0, -1, 1, 0, 0, -1, -2, 0, 4, 1, 0, -1, 2, -2, -2, 1, 2, 0, 1, 0, -2, 0, 0, 0, -1, 1, 0, -3, 0, 1, 1, 6, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, -1, -1, 0, -1, 0, 1, 1, 0, 0, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 2, 2, 1, 2, 2, 2, -1, 1, 2, 1, -2, 2, -1, 1, 1, -1, 0, -1, 1, 4, 2, 1, 2, -1, 0, 2, -1, 2, 0, -1, 1, -1, -1, 1, -2, 0, 2, 0, -1, 1, 2, 2, 4, 2, 2, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 1, -2, 0, 0, 0, 0, 0, 1, 1, 2, 4, 1, 0, 1, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, 2, 2, 2, 1, 4, 1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, -2, 0, 1, 0, -1, 0, 2, -1, 0, 0, 1, 4, 0, 1, 2, 1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, -2, 1, 0, 0, 1, 0, 0, 4, 2, 1, 0, -2, 1, 0, 1, 0, -1, 0, 2, 1, -2, -1, -1, 2, 2, 1, 2, 1, 1, 2, 6, 0, 3, 0, 1, 1, 1, -1, 0, -1, 0, 3, 0, 0, -1, 2, -1, 1, 2, 0, 2, 1, 0, 6, 0, -2, 1, 1, 1, -1, 0, 2, 2, -1, -2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 3, 0, 6, -1, 0, 2, 0, -2, 1, 0, 1, 2, -1, 1, 0, -1, 0, 0, -1, 0, 0, -2, 0, -2, -1, 4, -1, 0, 0, 1, 0, -1, -2, 0, 2, 0, 0, 1, -1, -1, 0, -1, 0, 1, 1, 1, 0, -1, 4, 0, 2, -1, 1, 1, 0, -1, -1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 4, 0, -1, 1, 0, 0, 2, 0, 0, 0, 1, -1, -1, 0, -1, 0, 1, 1, 1, 0, 0, 2, 0, 4, -1, 1, 1, 1, -1, -1, 1, 0, -2, -1, -1, 0, 0, -1, 0, -1, -1, -2, 1, -1, -1, -1, 4, -2, 0, -1, 0, 1, -1, 1, 2, 1, 1, 0, 1, 0, -1, 0, 0, 1, 0, 1, 1, 1, -2, 4, 0, 0, -1, 0, 1, 1, -1, -2, -2, 0, -2, 0, 0, -1, 2, 0, -1, 1, 0, 1, 0, 0, 4, 1, -1, -1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, -2, 0, 0, 1, -1, 0, 1, 4, 0, -2, 0, 0, 1, 2, 0, -1, 1, 1, 1, 3, -1, 2, 0, -1, 2, -1, 0, -1, -1, 0, 6, 0, -2, -1, -1, 0, 0, -1, 0, 0, -2, 0, -2, -1, 2, -1, 0, -1, 1, 0, -1, -2, 0, 4, 1, 0, 0, -1, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, -1, 1, 1, 0, -2, 1, 4, 0, -1, 1, 0, 1, 0, -2, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 1, 1, 2, 1, 0, -2, 1, 1, 0, -2, -1, -1, 0, 1, 1, -1, -2, 1, 4, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0, -1, 0, 4, -2, 0, 0, 0, 1, 0, 1, 2, 0, -2, 1, 1, 1, -1, 0, 1, 0, 0, 2, 2, 1, -2, 6, 1, 0, 0, 2, -1, 1, -2, 0, 0, -1, -3, -2, 1, -1, 2, 0, 0, -2, -1, 0, 0, 1, 4, 0, -2, 1, -1, -1, 0, -2, -1, 1, 0, 1, 1, 1, -1, -2, -1, 1, 1, 0, 0, 0, 0, 4, -1, 2, 1, -1, -1, -1, 0, -1, 0, -1, -2, -1, 1, -1, -2, -2, 1, 0, 0, 0, -2, -1, 4, 0, 1, 0, 0, 2, 1, 0, 0, -1, -1, -1, 1, 2, 1, -1, 2, 2, 1, 2, 1, 2, 0, 6, 2, 0, 0, -1, 0, -1, -1, -2, -1, 0, 2, -1, -2, 0, 1, 2, 0, -1, -1, 1, 1, 2, 4, -1, 1, 0, 1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 1, 1, -1, -1, 0, 0, -1, 4, 1, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, -2, 1, 2, -2, 0, -1, 0, 0, 1, 1, 4, -1, 0, 1, 1, 0, 1, 0, 0, -1, 1, 1, 1, 0, 0, 0, -2, -1, 2, -1, 0, 0, -1, 4, 1, 0, 0, 0, -1, 0, 0, 2, 1, 0, 1, 1, -2, 0, -1, 0, 1, 0, 1, 0, 0, 1, 4, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 1, -1, 0, -1, -1, 1, 1, 0, 0, 4, 1, 2, 0, 1, -1, 0, 0, 0, -2, -1, 1, -3, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 4, 1, -1, 0, -1, 0, 0, 1, -1, -1, 1, -2, 1, -1, -1, -2, -1, 0, 0, 0, -1, 2, 1, 4, 1, 1, -2, 0, 0, 2, -1, 1, -1, 1, 1, -2, -1, -1, 0, 1, 1, -1, 0, 0, -1, 1, 4, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 1, 0, 1, 0, 4, -1, 0, 0, 2, 1, 0, 1, 2, -1, 1, 1, 2, 0, 1, 0, 0, -1, -1, -1, -2, -1, -1, 4, 0, 0, -1, 1, 0, 0, 0, -2, -1, 2, -1, 0, 0, -1, 2, 0, 0, 0, 0, -1, 0, 0, 4, 2, 0, -1, 0, 0, 0, -1, -2, 1, -2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 4, 0, -2, 0, 2, -2, 1, -2, -1, 0, -1, 0, 1, 0, -1, 0, 1, 2, 1, 2, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, -1, 0, 1, 0, -1, 0, -1, 1, -1, -1, -1, 0, -1, 2, 1, 0, -1, -1, 0, 4, 2, -1, 2, -2, 1, 2, 2, 2, 1, -1, 2, 2, -1, -1, 1, -1, -1, 2, 0, 1, 0, 2, 4, 0, 2, -2, 1, 1, 1, 1, 2, -1, 0, 1, 0, -2, 2, -1, -2, 1, 0, 0, 2, -1, 0, 4, -1, 1, 0, -1, -1, -1, 0, 2, -1, -1, 0, 1, -1, 2, 0, -1, -1, 0, -1, 2, 2, -1, 4, -2, 1, 2, 2, 2, 2, 0, 2, 2, -1, -2, 2, -2, -2, 2, 0, 0, 0, -2, -2, 1, -2, 4, 0, -2, -1, -2, -1, 0, -2, -1, 1, 2, -1, 1, 1, -2, 1, -1, 1, 1, 1, 0, 1, 0, 4, 0, 1, 0, 0, -1, 1, 1, -1, -1, 2, 1, 0, 0, 0, 0, 0, 2, 1, -1, 2, -2, 0, 4, 2, 2, 0, -1, 1, 1, 0, -1, 0, -1, -1, 2, 0, 1, -1, 2, 1, -1, 2, -1, 1, 2, 4, 1, 0, 0, 2, 2, -1, 0, 1, -1, -2, 1, 1, 1, 0, 2, 1, -1, 2, -2, 0, 2, 1, 4, 0, -1, 2, 2, 0, -1, 0, -1, -1, 2, 0, 1, -1, 1, 2, 0, 2, -1, 0, 0, 0, 0, 4, 0, 1, 0, -1, -2, 2, -1, -1, 0, -1, -1, 1, -1, -1, 2, 0, 0, -1, -1, 0, -1, 0, 6, -1, 0, -1, 1, 0, 0, 0, -1, -2, -1, -1, 2, 0, -1, 2, -2, 1, 1, 2, 2, 1, -1, 6, 1, -1, -1, 1, -1, 0, 2, 0, 2, -1, 2, 1, -1, 2, -1, 1, 1, 2, 2, 0, 0, 1, 4, -1, 0, 1, -1, -2, 1, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, -1, 0, -1, -1, -1, -1, 4, 0, -1, -1, 1, 0, 0, 1, 0, -1, -2, 1, -2, 2, -1, -1, 0, -1, -2, 1, -1, 0, 0, 4, -1, 1, 0, -1, 1, 1, -1, 1, 2, -1, 2, -1, 2, 0, 1, 0, 2, 0, 1, 1, -1, -1, 4, -1, -1, 0, 0, 0, 2, -1, -1, 2, -2, 1, 1, -1, -1, -1, -1, 0, -1, -1, -1, 1, -1, 4, 1, -1, 0, 0, 1, -1, -2, 0, -2, 1, 0, -1, -2, -1, -1, 0, 0, -2, 1, 0, -1, 1, 4, -1, -1, 0, 0, 2, 1, -1, 2, -2, 0, 2, 1, 2, 0, -1, 2, 1, 0, -1, 0, -1, -1, 4, 1, 1, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, -2, 0, 1, 0, 1, 0, 0, -1, 1, 4, 0, -1, 1, 0, 0, 0, -1, 0, 1, 1, 1, -1, -1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 0, -1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, 0, -1, 0, -1, 1, 0, 4, 2, 0, 0, 0, 0, 1, 2, -2, 1, 2, 2, 2, -1, -1, 1, -2, 2, 2, 1, 1, -2, 2, 6, -2, -1, 2, 0, -1, 0, -2, 2, 1, 0, 0, -2, 0, -1, -1, 3, 1, 2, 1, 0, 0, -2, 4, 0, -2, 1, -1, 1, 1, -1, 0, 1, 1, 2, 0, 1, 0, -2, 0, -1, 1, -1, 0, -1, 0, 4, -1, -2, 2, -1, 2, -1, 0, -1, -1, -1, 1, 1, 0, -1, 0, -1, -1, 0, 0, 2, -2, -1, 4, -1, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 0, 1, 0, 0, 0, 1, 0, 0, 1, -2, -1, 4, -2, 1, -2, 1, 0, 1, 1, 2, 0, 0, 0, -1, 0, 1, 1, 1, 1, -1, -1, 2, 0, -2, 4, 0, 0, 0, 1, 0, 0, -1, 0, 1, -1, 1, 1, -1, 0, 0, 2, 0, 1, -1, 0, 1, 0, 4, -1, 1, 2, 2, 2, 0, -1, 1, -2, 0, 2, 0, 0, -1, -2, -2, 1, 2, 0, -2, 0, -1, 6, -2, 0, -1, -1, 0, 0, 1, 0, -3, 0, -1, 0, 0, 1, 2, -1, -1, 0, 1, 0, 1, -2, 4, 0, 0, 0, -1, -1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 4, 1, 2, 0, -1, 1, -2, 0, 2, 0, 1, 0, 2, 0, 1, -1, 0, 1, 0, 2, -1, 0, 1, 4, 2, 0, 0, 0, -2, 0, 1, 1, 1, 0, 2, 0, 1, -1, 0, 1, 0, 2, -1, 0, 2, 2, 4, 0, 0, 0, -1, 0, 1, 1, 1, 1, -1, -2, 2, -1, -2, 2, -1, 0, 0, -1, 0, 0, 0, 4, -1, 0, 0, -1, 0, -1, 1, -1, -1, 0, 0, 1, 1, 0, 0, -1, 0, -1, -1, 0, 0, -1, 4, -1, 1, -1, -1, 0, 0, 1, 1, -1, 1, 1, -2, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1, 4, -1, -1, 1, 0, 1, 0, -2, -1, 0, 0, 0, 0, -1, -2, 0, 0, -2, -2, -1, 0, 1, -1, 4, 0, -2, 0, -1, -1, 2, 3, -2, -1, 1, -1, 1, 0, -3, 2, 0, 0, 0, -1, -1, -1, 0, 6, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, -1, 1, -2, 0, 4, 1, 1, -1, 1, 2, -1, -1, 0, 1, -1, 0, -1, 1, 0, 1, 1, -1, 0, 0, 0, 1, 1, 4, 0, 1, 1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, 2, -1, 1, -1, 2, 1, -1, 0, 2, 2, 2, -2, -1, 2, -2, 1, 1, 4, -2, 0, 0, 1, 2, 1, 2, 0, 1, -1, 0, -1, 2, 2, 2, -2, 1, 2, -2, -1, -1, -2, 4, 0, 0, 1, -1, -1, 0, 1, -2, -1, 0, 1, -2, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 4, 2, -2, 1, -1, 0, -2, -1, 2, 0, 0, 2, 2, 1, -2, 1, 2, -1, 0, 2, 0, 0, 2, 4, -1, 2, -2, 0, -1, 1, 1, 0, 0, 1, 1, 2, -1, -1, 1, -2, 0, -1, 1, 1, -2, -1, 4, 0, 0, 0, 1, -1, -3, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 2, 2, -1, 1, 2, 0, 4, 0, 1, 0, 2, 1, -1, 0, 2, 1, 3, -1, -1, 1, -3, -1, -1, 1, -1, -1, -2, 0, 0, 4, 1, 0, 1, 1, -1, 1, 0, 0, -1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 4, 1, 1, 0, -1, 0, 1, 3, 1, -3, 1, 3, -1, 0, -1, 0, 1, -2, -1, 1, 0, 0, 1, 4, 1, -2, -1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 2, 1, -2, -1, 1, -1, 2, 1, 1, 1, 6, 1, -1, 2, 1, 1, 2, -1, -1, 1, -2, 1, 1, -1, -1, 2, 1, -3, 1, 1, 0, -2, 1, 6, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, -1, -1, -1, 0, 4, 0, 0, -1, -1, 1, 0, -1, 1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 1, 2, 1, 0, 4, 0, 0, 0, 0, -1, 0, 0, 1, 2, 2, -2, 2, 1, -1, 2, 0, 1, -1, 1, 1, 0, 0, 4, 2, 1, -2, 1, 2, -1, 1, 2, 2, 0, 2, 1, -1, 1, 0, 3, 0, 1, 0, -1, 0, 2, 6, 1, -4, 1, 4, -2, 0, 2, 2, 0, 1, 2, 1, 3, -1, 1, 0, 2, -1, -1, 0, 1, 1, 6, -2, -1, 2, -4, -1, -2, -2, 0, -2, -1, 1, -1, 0, -3, 0, -1, -1, 1, 0, -2, -4, -2, 6, -1, -4, 2, 0, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 0, 0, -1, 1, 1, -1, -1, 4, 1, 1, 0, 2, 2, 0, 2, 1, -1, 1, 0, 3, 0, 1, 0, -1, 0, 2, 4, 2, -4, 1, 6, -1, 0, -2, -2, 0, -1, -2, -1, -3, 1, -1, 0, -2, 1, 1, 0, -1, -2, -4, 2, 1, -1, 6, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 1, 1, 0, -1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -2, -1, 1, -1, 0, -1, 0, 0, -1, 1, -1, 0, 0, 1, 2, -1, 0, -1, -1, 0, 4, -2, 0, -2, 1, 0, 2, -1, 0, 2, 1, 0, 1, 0, 2, -1, 1, -1, 2, 2, 0, 0, -2, 4, 1, 2, -1, 0, 0, 2, 0, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, -2, 1, -2, 0, 1, 4, 1, -1, 1, 0, 1, 1, 0, -1, 0, 1, 1, -1, -2, -2, -1, 0, 0, 0, -1, -2, 2, 1, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, -2, 1, -2, 0, 0, -2, 0, 1, 1, -1, -1, 0, 4, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, -1, 0, 1, -2, -1, 0, 0, 1, 0, 1, 4, -1, 1, 0, -1, 0, 1, 2, 0, 0, 1, 0, 0, -1, 2, 0, 0, 2, 0, 0, 0, 0, -1, 4, 1, -1, 2, 0, -1, 0, 1, 1, -1, 0, -1, 2, 1, 1, -1, -1, 2, 1, 2, 0, 1, 1, 4, 0, 0, -1, 1, 1, 0, 0, 0, -1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 4, -1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 2, 0, 0, 0, 0, -1, 2, 0, -1, 4, 0, 0, -1, 1, 1, -1, 0, -1, 2, 0, 1, -1, 1, -1, -1, 0, 1, 0, 0, -1, -1, 0, 4, 0, 0, -1, 0, 1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, 1, 1, -1, 1, 1, 0, 0, 4, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, 1, 2, 0, 1, 1, -1, 0, 0, 4, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, -1, 0, -1, 4, -1, -1, -2, 0, 1, 0, 0, 0, 2, -1, -1, -2, 1, 0, 1, 0, 0, 1, 0, 0, 1, -1, 4, 0, 1, -1, 1, 2, 1, 1, -1, 0, -2, 1, 1, 1, -1, 0, 0, -1, 1, 1, 0, -1, 0, 4, 1, 1, -1, 0, 0, 2, 1, -1, -2, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 1, 1, 4, 0, 0, 1, 0, -1, -1, 0, -1, 0, -1, 0, -1, -1, 0, -1, 1, 0, -1, 0, -1, 1, 0, 4, -1, 0, 1, 0, 2, 0, 0, 0, 0, -1, 2, 0, -1, 2, 0, 0, 0, 1, 1, -1, 0, -1, 4, 1, 1, -1, 2, -2, 0, -2, 1, 2, 1, -1, 0, 0, 0, -1, 2, 0, 2, 0, 1, 0, 1, 6, 0, -1, 0, 1, 0, 0, -2, 0, 1, 1, -1, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, -2, 0, -1, -1, 1, -1, 1, 1, 0, -1, -1, -1, -2, 1, -1, 2, -1, 1, 0, 2, 4, -2, -2, 1, -1, -1, 1, -2, 0, 1, -1, -1, -1, -1, -2, -1, -2, 1, -1, 1, 1, -1, -2, 4, 0, -1, 1, -1, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 2, -1, -1, -1, 1, -2, -2, 0, 4, 1, 0, 2, -2, 2, 0, 0, 0, 0, 0, 1, 2, -1, 1, -1, 2, 0, -2, 0, 1, -1, 1, 4, 1, 2, 1, 0, 0, 2, 1, 1, -2, 0, 0, -1, 1, 0, 2, -1, 1, -1, -1, 1, 0, 1, 4, 2, 2, 0, 1, 0, 1, 1, -1, 0, 0, 1, 2, -1, 0, -1, 2, -1, -1, -1, 2, 2, 2, 6, -1, 1, 1, -1, 2, 1, -1, 2, 2, -1, 0, -1, 3, -1, -1, 1, 1, 0, -2, 1, 2, -1, 6, 0, 1, 1, 1, 1, -1, 0, -1, 2, 0, -1, 0, -1, 4, -1, -2, 0, 2, 0, 0, 1, 0, 4, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, -1, -1, 1, 0, -1, 0, 0, 1, 1, 1, 1, 4, 1, 0, 1, 1, 1, 0, 2, -1, 0, 1, -1, 1, 1, 1, 0, 0, 2, 0, -1, 1, 0, 1, 4, 0, 1, -1, 0, -1, 1, 0, 0, 1, -1, 1, 0, -1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 4, 0, 0, 1, 1, 0, 1, -1, 1, -1, 0, -1, -1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 4, 0, 1, 1, 1, 0, -1, 2, -2, 2, -1, -1, 0, 0, -2, -1, -1, -1, 1, 1, -1, 0, 0, 4, 1, 1, 0, 0, 0, -1, 0, -1, -1, -1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 4, 2, 0, -2, -2, 2, -1, 0, -2, -2, 1, 2, 0, 0, 2, -1, 1, 0, -1, 1, 1, 1, 2, 4, 0, 0, -2, 2, -1, 0, 1, -1, 1, -1, -1, 1, -1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, -1, 2, -1, -2, 2, 1, 1, 2, 0, 0, 1, -1, 0, 1, 0, 0, -2, 0, 0, 6, 1, -1, 0, 0, 2, 1, -1, -1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, -2, -2, 0, 1, 4, -2, 1, -1, -1, -1, -1, 2, 2, 0, 3, 0, 1, 1, 1, 1, 2, -1, 2, 2, 0, -1, -2, 6, -1, 0, 1, 1, -1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -2, 0, -1, -1, -1, 0, 1, -1, 4, -2, 0, 1, 1, -2, 1, 2, -1, 4, -1, 1, 1, 0, 2, -1, 0, 0, 2, 0, -1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, 0, 2, 0, 0, -1, 0, -1, -1, -1, 1, 2, 2, 1, -2, 0, 2, 1, 4, 0, 0, 0, 0, 1, 1, -1, 0, -2, -1, -1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 4, -2, 0, -1, 1, 2, 0, -1, 1, 1, 0, -1, 0, -1, 2, 1, 0, -1, -1, 2, -2, 0, -2, 4, -1, 2, 0, 0, 1, 0, 1, -1, 0, 2, 0, 0, -2, -2, 0, 2, 0, -2, 1, 0, 0, -1, 4, 1, -2, 0, 1, 0, -2, 1, 0, -1, 0, 0, -1, 2, -1, -2, -1, 1, -1, 0, -1, 2, 1, 4, 0, 0, 2, 0, -1, 1, 0, 1, 0, 0, -1, -1, 0, 1, 0, -1, 0, 1, 1, 0, -2, 0, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 4, 0, 0, 1, -1, 0, 0, -1, 0, 1, 1, 1, -1, 0, 2, 0, -1, 0, 1, 1, 2, 0, 0, 4, 1, 0, 1, -1, 0, 0, 0, -1, -1, 0, 1, -1, -2, 0, 0, -1, 0, 0, 0, 0, 0, 1, 4, 1, -1, -1, 1, 1, 1, -1, 1, 0, -1, 1, -2, -1, -2, 1, 1, -2, -1, 1, 1, 0, 1, 6, 0, 0, 0, 1, -1, -1, 1, -1, -1, -1, -1, 0, -1, 1, -1, 1, 1, 0, -1, 1, -1, 0, 4, -1, -2, 0, 0, 0, 1, -1, -1, -2, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 4, 1, -1, -1, 0, -1, -1, 0, 1, 0, -1, 1, -1, 2, -1, 1, 1, 0, 0, 1, 0, -2, 1, 4, 0, 1, 0, -1, 0, 1, 2, -2, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, 1, 0, -1, 0, 4, 0, -1, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 1, 0, 4, 1, 1, 1, -1, 1, 1, 2, 1, 2, -2, -1, -1, 1, 1, -1, -1, -1, 0, 0, 0, -1, 1, 4, 0, 1, 0, 1, 2, 2, 0, 1, -2, 2, -1, 0, 1, -1, 1, 1, 1, -1, -1, 0, 1, 0, 6, 0, -4, 0, 2, 1, 2, 0, 0, -1, 0, 2, 1, 0, 0, -1, -1, -1, 0, 0, 1, 1, 0, 4, 0, 1, 1, -2, 0, -1, 2, -2, 1, 0, -1, 1, -1, -1, -1, 0, 1, 0, -1, 0, -4, 0, 6, 1, -2, 0, 1, -1, 0, -1, 0, 1, 0, -1, 1, -1, -2, 1, 2, 0, 1, 1, 0, 1, 1, 4, -1, 2, 2, 2, -2, 1, -1, 0, 2, -2, -2, -1, 1, 0, -2, 0, 1, 2, 2, 1, -2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 1, 0, 1, 0, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 4, -1, 0, -1, 2, 1, 2, 1, 0, 0, 1, 0, -1, 0, 2, -1, 0, 0, 0, 1, -1, -1, -1, 4, -1, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, 1, -1, -1, 0, -1, 4, -1, 0, 0, -2, -1, -2, 1, 1, 1, 0, 0, 0, -1, 1, 1, -1, -1, 1, 1, -1, 0, -1, 4, -1, 1, 0, -1, 0, 1, 0, -1, 2, -1, -1, 2, 1, 1, -1, -1, 1, 1, 2, 0, 0, -1, 4, 2, 2, 0, 0, -1, 0, -1, -1, 0, 2, -2, -1, -1, 1, 0, -2, 2, 1, 0, 0, 1, 2, 4, 1, 0, 0, 1, 0, -2, 1, 0, 1, -1, 1, 1, -1, 0, -1, 1, 2, 0, -2, 0, 2, 1, 4, 1, 1, -1, -1, -1, 0, 0, 2, -1, -1, 0, 1, 0, -1, 0, 1, 1, -1, -1, 0, 0, 1, 4, 0, 1, -1, -1, 0, 2, 0, 0, 1, 1, -1, 1, -1, 1, 0, 1, -2, 0, 0, 0, 1, 0, 4, -2, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, -1, 1, -2, 4, 0, 0, 2, 0, -1, 1, 2, 2, -2, 0, 0, 1, 1, -1, 1, 0, 0, 0, -1, -1, -1, 0, 4, 1, 0, 0, 1, 0, -1, -1, 0, 1, 1, -1, 0, -1, 1, -1, -1, -2, -1, -1, 0, 0, 1, 4, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 2, -1, 1, 0, 0, -1, 2, 0, 0, 4, 0, 0, 1, 1, 1, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, -1, 0, 1, 0, 0, 0, 1, 2, 0, 0, -1, 2, 1, 2, 0, 0, -1, 1, 0, 0, 0, 4, -1, -1, -1, 1, 1, 0, 0, -1, -1, -1, 2, -2, -1, -1, 0, 0, 1, 0, 1, 1, -1, -1, 4, 1, 0, -1, 0, 1, 0, 0, 0, 1, 1, -1, 1, -1, 1, 0, 2, -1, 0, 1, 0, -1, 1, 4, 2, -2, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 1, -1, 2, -1, -1, 1, 1, -1, 0, 2, 4, -2, -1, 1, 0, 0, 0, -1, -1, 1, -1, 1, -1, 0, -2, 0, 0, -1, 0, 1, -1, -2, -2, 4, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 1, 4, -1, 0, -1, -1, 1, 1, -2, -1, -1, -1, -1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -2, 1, 2, 1, 2, 1, -1, -1, 2, -1, 1, -1, -1, 1, -1, -1, -2, 1, 1, 4, 0, 1, -2, 0, 0, 0, 0, 0, 1, 1, 0, -2, -1, 0, -1, 0, 0, 1, 1, -1, -1, 0, 4, -2, 2, -2, -1, 0, 1, -2, 1, 1, -1, -1, 1, -1, -1, 1, 0, 2, -1, -1, 2, 1, -2, 6, -3, 0, 0, 0, 1, 0, 1, 1, 2, 1, -2, 1, -1, 1, 1, 0, 1, 1, -2, -2, 2, -3, 6, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, -2, 2, 0, 1, 2, 0, -1, 1, 0, -2, 0, 0, 4, 2, -1, 1, 2, 0, -1, 1, 0, -1, 0, 0, -1, 0, 0, 1, 0, 2, 0, -1, 0, 0, 2, 4, 1, 2, 1, 0, -2, 2, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, -1, -1, 1, 4, 1, -1, -1, -1, 1, -1, 1, 0, 1, 2, -1, 0, -1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 6, -1, 0, -1, 3, -1, -1, -1, 0, 3, -1, 3, 0, -1, 1, 0, -2, 0, 0, 2, 1, -1, -1, 4, -1, 0, 1, 0, 1, 0, 0, -1, 1, -2, -1, 0, -1, 1, 1, 1, 1, 0, 0, -1, 0, -1, 4, 2, 0, 0, -2, 0, 0, 0, 2, 2, 2, 0, -1, 1, 1, 1, 1, -1, -2, -1, -1, 0, 2, 4, 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, 2, 0, -1, 2, 0, 1, 2, 1, 3, 1, 0, 0, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, -1, -2, -1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 4, 0, 1, 0, 0, 1, -1, 1, 1, 1, -1, 1, -2, 0, -1, 1, 1, -1, 1, -2, -1, 0, 0, 6, -1, -1, 0, -1, -3, -4, 1, -1, 0, -1, 1, -2, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 4, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, -1, 1, 2, 3, -1, 0, 0, 2, 0, 0, 0, 0, 4, 0, 2, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, -1, 1, 2, 1, 0, 1, -1, 0, 0, 0, 4, 0, 1, 0, -1, 1, 2, 0, 2, 0, 0, 0, 3, -2, 2, 1, 1, -1, -3, 0, 0, 2, 0, 6, 3, -2, -2, 1, -1, 1, 0, 1, -1, -1, 0, -1, 2, 1, 0, 1, -4, 1, 1, 0, 1, 3, 6, -1, 1, -1, -1, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 0, 1, -2, 1, 1, 0, -1, -1, 1, -1, -1, -2, 2, 0, -2, 0, -1, -2, 0, 4, 2, 0, 0, 1, 1, 1, -1, 2, -2, 2, 1, 2, -1, 0, 0, -2, 0, 2, 0, -1, 0, 2, 6, 1, 2, 2, 1, 2, -2, 3, -3, 1, 2, 1, -2, 0, 1, -3, -1, 3, 0, 2, 0, 0, 1, 4, 2, 2, 1, 2, 1, 0, 1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 2, 2, 4, 1, 0, 2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 1, 2, 2, 1, 4, 0, 2, 1, 1, -1, 1, 0, 1, 0, -1, 1, -1, -1, 1, 1, 0, -2, 1, 1, 1, 0, 0, 4, -1, -1, 1, 1, 1, -1, 1, 1, 0, -2, -1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, -1, 4, 0, 1, -1, 1, 1, 1, -1, -1, 0, -1, -1, 1, 0, 0, 1, -1, -2, 1, -1, 1, -1, 0, 4, -1, 2, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 2, 3, 0, 0, 1, 1, 1, -1, 4, -1, 1, 2, 2, -1, 0, 0, -2, 0, 2, 0, 1, -1, -2, -3, 1, -1, -1, 1, -1, 2, -1, 6, 0, -1, 0, 1, 1, -3, 1, 2, -1, 1, 0, -1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 4, 0, 2, -1, 1, -1, -2, 0, 1, 1, 1, 1, 1, 2, -1, 0, 0, -1, 1, -1, 2, -1, 0, 4, 0, -1, 0, 1, -2, 0, 2, 0, 1, -1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 4, -1, 1, -1, -1, 0, 1, 1, 1, -1, -1, -2, 1, 0, 0, 1, -1, 1, -1, 1, -1, -1, -1, 4, -1, -1, 1, 2, -1, -1, 0, -2, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 0, 1, -1, 4, 0, 0, 0, 0, 1, 2, 2, 0, 1, -1, 0, 1, -2, 0, 0, 0, -3, -1, 1, -1, -1, 0, 4, 0, -2, 0, 0, 0, 0, -2, -3, 0, 0, -1, -1, -1, 1, -2, 1, -2, -2, -1, 1, 0, 0, 4, 0, -2, 0, -1, -2, 0, -1, 0, -1, -1, 2, -1, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 4, 0, 0, 1, 0, 2, 3, 0, 0, 1, 1, 1, -1, 2, -1, 1, 2, 1, -1, 0, 0, -2, 0, 4, 1, 1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 4, 0, -2, -1, 2, -1, 1, 0, 1, 0, -1, 1, 0, 1, 1, 1, 0, 2, 0, -1, 1, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, 1, 1, 1, 1, -1, -1, -2, 0, 0, -1, 2, -1, 0, 1, 0, 0, -2, 4, -2, 2, -2, 1, 1, 0, -1, -1, 0, 2, 0, 1, -1, 0, -1, 1, 0, -1, 1, 1, 2, -2, 4, -1, 1, 0, -1, 1, 0, 0, 1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 0, 1, -2, 2, -1, 4, 0, 2, 1, -1, 0, -2, 0, 2, 1, 1, 0, 1, -2, 2, 1, -2, 0, 1, 1, -2, 1, 0, 4, 1, 0, 0, 0, -1, -1, -1, -1, 0, 1, -1, -1, 1, 1, -1, -1, 0, -1, 1, 0, 2, 1, 4, 0, -1, -1, -2, 0, 2, -1, 1, 1, 1, -2, 2, 0, -2, 1, 2, 1, 1, -1, 1, 0, 0, 4, 1, 1, 0, -2, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 0, 1, -1, 0, -1, 1, 4, -1, 0, 0, 0, 0, 0, 0, -2, 2, 0, 1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 1, -1, 4, 0, -1, -1, 1, 0, -1, 0, 1, 0, 1, 0, 0, -1, 1, -1, 0, -2, -1, -2, 0, 0, 0, 4, 0, -2, 1, -2, 0, 0, 1, -2, -1, 2, 0, -1, -1, 0, 1, 0, -1, 0, -2, 0, -1, 0, 4, 1, 1, 0, 1, 1, 0, -1, -1, 0, 1, 0, -1, 2, -1, 2, -1, 2, 1, 0, -1, -2, 1, 6, -2, 1, 2, 1, -1, 1, -1, -2, 0, 2, -2, 0, 0, 1, -1, -1, 0, 0, 1, 1, 1, -2, 6, -2, 0, 0, 0, -1, 2, 1, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, -2, 0, 1, -2, 4, -1, 1, 0, 1, -1, -1, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 0, 1, 2, 0, -1, 4, 0, -1, -1, 0, 0, -1, 1, -1, 0, -1, 1, -1, 1, -1, -2, 0, 0, 1, 1, 0, 1, 0, 4, 0, 0, -2, 0, 1, 0, 2, -1, 1, -2, -1, -2, 0, 2, 1, 1, 0, -1, 0, 0, -1, 0, 4, -1, 0, 1, 0, 0, -1, 1, 0, 2, 1, 2, 0, 0, 0, -2, -1, 1, -1, 1, -1, 0, -1, 4, 1, -2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, -1, -1, -1, 2, -1, 0, -2, 0, 1, 4, -1, -1, 1, 1, -1, 0, -2, -1, -2, 0, 0, 0, 2, 0, -2, 1, -1, 0, 0, 1, -2, -1, 4, 1, -1, 0, 1, 0, 0, -1, 1, 0, -1, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, -1, 1, 4, 0, 0, 1, 1, 1, 0, 2, 1, 1, -1, -1, 0, 2, 0, 0, 1, 0, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 0, 0, -1, 1, 0, -1, 2, 2, 1, -1, -1, -1, 1, 1, -1, 1, 1, 2, 1, 2, 4, 2, 0, -1, 1, 0, 1, 0, 2, 1, 0, -1, -1, -1, 0, -1, 0, -1, 1, 0, 1, 2, 2, 4, 1, 1, 0, 1, 0, -1, 2, 2, 1, 0, 0, 0, 1, -1, -1, -1, 0, 2, 1, 0, 0, 1, 4, 2, -1, 1, 1, -1, -1, -1, 1, 2, 2, -1, 2, -1, -1, -1, -1, 0, 1, 0, -1, 1, 2, 4, -2, 2, 1, -2, 0, -1, 2, 2, 2, -1, 2, 0, -2, 0, -2, 1, 0, -1, 1, 0, -1, -2, 4, -2, 0, 1, -1, 1, -1, 0, 0, 1, -2, 0, 1, -1, 1, -2, 1, 1, 0, 1, 1, 2, -2, 4, 0, -2, 0, 1, 2, 1, 1, -2, 1, 0, -2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 4, -1, 0, -2, 0, 1, 1, -1, 0, 1, 0, 0, -1, -2, 1, -1, 0, -1, -1, -2, 1, -2, -1, 4, 1, -1, -2, -1, -1, 2, 0, -1, 2, -1, 0, 0, -2, 2, 2, 2, -1, 0, -1, 0, 0, 1, 6, 0, -1, -2, -2, 1, 1, -1, 1, -1, -1, 1, -1, 2, 1, 2, -1, -1, 1, 1, -2, -1, 0, 6, 0, -1, -1, -1, -1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, -1, 2, 0, -2, -1, 0, 4, 1, 2, -1, 1, 0, -2, 0, 0, 1, 1, -1, -1, 0, 2, 2, 0, 1, 1, -1, -2, -1, 1, 4, 2, -1, 1, 0, -2, -1, -1, 0, 1, -1, -1, 0, 2, 2, 0, 1, 1, -1, -2, -1, 2, 2, 4, -1, 1, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, -1, 1, -2, -1, 2, 1, -1, -1, -1, -1, 4, -1, -1, 1, 0, 0, -1, -1, 1, 0, 1, 2, 2, -2, 1, 0, 0, 1, -1, 1, 1, 1, -1, 4, 0, -1, -1, -1, 2, 0, 1, -1, -1, -1, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, -1, 0, 4, 0, 2, 0, 0, 1, -1, 0, -1, -1, -2, 1, -2, 0, 2, 1, 0, -2, -2, -1, 1, -1, 0, 4, 0, 0, -1, -1, 1, -1, -1, -1, 0, -1, 0, 0, -1, -1, 1, 0, -1, -1, 0, -1, 2, 0, 4, 0, 0, 0, 1, 1, 0, -1, -2, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0, -1, 0, 0, 0, 4, 1, 1, 2, 0, 2, 0, 1, -2, 2, -2, 0, 1, 2, 1, 0, 0, -1, 2, 0, -1, 0, 1, 6, -1, 1, 1, 1, 1, 0, 1, 1, 1, -2, -1, 1, 1, 1, 1, -1, 0, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, 0, 0, 2, 2, 2, -1, -2, -1, 1, -2, -2, -1, 1, -1, 1, 1, -1, -2, 1, 4, 2, 0, 0, 0, 1, 0, 1, 1, -1, -2, 2, -2, -2, -1, 1, 0, 0, 2, -1, 0, 1, 2, 4, 1, -1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, -1, 1, 0, -2, 0, -1, 0, 1, 4, -1, 2, 1, -1, 1, -1, 1, 2, -1, 2, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 4, -1, 0, 0, 0, -1, -1, -2, 1, 1, 1, 1, -1, 1, -2, 1, -1, 0, 0, 0, 1, 2, -1, 4, 2, 1, 1, -1, 1, 0, -1, 2, 0, 0, 1, -2, 0, 0, 1, -1, 2, 1, 1, 1, 0, 2, 4, 2, 2, -1, -1, -1, 1, 0, -2, -1, 1, -2, 1, 1, -1, -2, 2, 0, 0, -1, 0, 1, 2, 4, 0, 0, 0, -1, 0, 0, -1, -2, 1, -2, 0, 0, -1, -2, 2, 1, 1, 1, 0, 1, 2, 0, 4, -1, -2, -1, 1, 0, -1, 1, 0, 0, 1, 1, 0, -2, -1, 1, 0, -1, -1, -1, -1, 0, -1, 4, 0, -1, 1, -1, 0, -1, 1, 1, 1, 0, 1, 1, -2, -1, 0, 1, -1, 1, -1, 0, -2, 0, 4, 1, -2, 2, 0, 0, -1, -1, -1, -1, 0, 1, -1, -2, 0, 2, -2, 0, -1, -1, -1, -1, 1, 6, -2, 1, -1, 0, 0, 0, 1, -2, -1, 1, 1, 2, 0, -1, 1, -1, 1, 0, 1, 1, -2, -2, 4, -1, 0, -1, 1, 1, 0, 1, -1, -1, -2, -2, 0, 2, 1, 2, 0, 0, 0, -1, 2, 1, -1, 6, 1, 1, -2, -1, -1, -1, -1, 0, -2, -2, -2, -1, 1, 0, -2, -1, -1, 0, 0, -1, 0, 1, 6, 1, 0, 2, -1, -2, 2, 0, -1, -1, 0, 1, 1, 0, -1, -2, 1, -1, 0, 0, -1, 1, 1, 4, -1, 1, -1, 0, 1, 1, 1, 1, 0, -1, -1, 1, 1, 1, 0, 1, -1, 0, 1, -2, 0, -1, 4, 0, 1, 0, 1, 0, -1, 0, -1, -1, 1, -2, -2, -2, 0, 1, -1, 0, 1, -1, 2, 1, 0, 4, 0, 0, 1, 1, 1, 0, 1, 0, -2, 0, 1, 0, 1, 1, -1, 1, 0, -1, -1, -1, 1, 0, 4, -1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, -1, -2, 1, -1, -2, 0, 0, 0, -1, 4, 1, 0, -1, -1, -2, 0, -1, 1, -1, -1, 0, 1, 0, -1, -1, -1, 2, 1, 1, 1, 0, 1, 6, 0, -2, 0, 0, 0, 0, -1, -2, -2, -2, 1, 1, 1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, 0, -1, 0, 0, -1, -1, 0, -1, -2, 1, -1, 2, -1, 1, -2, -1, 0, -2, 4, 2, -1, -1, 1, 1, 0, -1, 1, 0, 1, 1, 2, -1, 1, -1, 1, -2, 2, 0, 1, -2, 2, 4, 1, -2, 1, 0, 0, -1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 4, -1, -1, 0, 0, 1, 1, 0, -1, 1, -1, 2, 1, 0, -1, 2, -1, 2, -1, 1, -1, -2, -1, 4, 1, 0, 0, -1, -1, 1, -1, -2, 0, 0, -1, 0, -1, -1, 0, -1, 1, 0, 1, 1, -1, 1, 4, 1, -1, -2, -1, 0, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, 1, -1, 1, 0, 0, 0, 1, 4, 1, 0, 1, 0, -1, 0, 1, 1, 2, 0, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 4, 1, 1, 1, -1, -1, 0, 0, 0, -1, -2, -1, 0, 0, 1, 0, -1, -1, 1, -1, -2, 0, 1, 4, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 4, 0, 0, -1, 1, 1, 1, -1, -1, -1, 1, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, -1, 0, 4, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, -1, -1, -1, -1, -1, 0, -1, 4, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, 1, 2, 1, -2, 1, 0, -1, -1, -1, 0, 1, 4, 0, 0, 1, 0, 1, 1, 0, 1, -1, -2, 2, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 4, -2, 1, -2, 1, -2, 2, 0, 0, 1, -1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, -2, 4, 1, 1, -2, 1, -1, 0, 0, -1, 1, 0, 1, -1, -1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 4, 0, -1, 0, 1, 0, 0, 2, -1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, -2, 1, 0, 4, 0, 1, -2, -1, 1, -1, 1, 1, -1, -1, 1, -1, -2, 0, -1, -1, 0, 1, 1, -2, -1, 0, 4, 0, 1, 1, 0, 1, -2, 0, 2, -1, -1, -1, -1, 0, -1, 0, 0, 1, -2, 1, 0, 1, 0, 4, -2, 1, -1, -2, 2, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, -1, 1, -2, 1, -2, 4, 1, 0, -1, 0, 1, 2, -1, -1, -1, 0, 1, 0, 0, -1, 1, 0, 0, 0, -1, 1, 1, 1, 4, -1, 0, 1, 1, -1, 1, 1, 1, 1, -1, 0, 1, -1, -1, 0, 0, 0, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, 2, 0, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, 2, 2, -1, -2, 2, 0, 1, 4, -1, 1, 2, -1, -1, -2, -1, -2, 0, -1, -1, 1, -1, -1, 1, -1, -2, 1, 1, -1, 1, -1, 4, -2, 0, 2, 2, 0, 1, -1, 1, 1, -1, 1, -1, -1, 1, 0, 1, 0, -1, -1, 0, 1, -2, 4, 0, 0, 0, -1, -1, -1, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 4, 0, -1, 0, -1, 0, 1, 0, -1, 2, -1, -1, 1, 0, -2, 0, 0, -1, 0, -1, 2, 0, 0, 4, 2, 0, 1, 0, 2, 1, 0, 1, 0, -1, 1, -1, 1, 1, 0, -1, 0, -1, 2, 0, -1, 2, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 1, -1, -1, -1, -2, 0, -1, 0, 0, -1, 4, 1, 2, 0, 1, 1, -1, 1, 1, -1, 0, 1, 0, -2, 0, 0, -1, 1, -1, -1, 1, 0, 1, 4, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, -1, -2, -1, -1, 0, 0, 0, 2, -1, 6, -1, -1, 2, -1, 2, 2, -1, 1, 1, -1, -1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, -1, 4, 1, 0, 2, -1, -1, 0, 0, -1, 0, 0, -1, -1, -1, 1, 0, 0, 1, 0, 1, 0, -1, 1, 4, 0, 1, 0, -2, 0, -2, 1, 2, 0, -1, 0, -1, -1, 1, -1, 0, 0, 1, 0, 2, 0, 0, 4, -1, 2, 1, 0, 1, 1, -1, 1, 1, 1, 1, 1, -1, 2, 1, 0, -1, 0, -1, 2, 1, -1, 4, -1, -1, 0, 0, -1, 0, 1, -2, 0, -1, -1, 1, -1, 0, 0, 1, 0, 2, -1, 0, 2, -1, 4, 1, 0, 0, 1, -1, 1, 1, 0, -1, -1, -1, -1, -1, 0, 1, 0, 2, -1, -2, 1, -1, 1, 4, -1, 1, 0, -1, 0, 1, 2, 1, 1, 1, 1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, -1, 4, 1, 0, -1, 1, 1, 2, -1, 0, 0, 0, -1, -1, 0, 1, 1, 0, -2, 1, 0, 0, 1, 1, 6, 0, -4, 1, 2, -1, -2, 1, 0, -2, 1, 2, 1, 1, 1, -1, 1, 1, -1, 1, 0, 0, 0, 4, 0, -1, 0, -2, 1, 0, 0, 0, 1, 1, 0, -1, -1, 0, 2, -1, 0, -1, -1, -1, -4, 0, 6, 0, -2, 2, 1, -1, 1, 0, 0, -1, -2, -1, -1, 0, 0, 1, 1, 1, 0, 1, 1, -1, 0, 6, 0, 0, -1, -1, 1, -1, -1, -1, 0, 0, 1, -1, -1, 1, -2, 1, 1, 1, 2, 0, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, -2, 1, 1, 2, 1, -1, 2, -1, 1, 0, 2, -1, -1, 0, 1, 2, -2, 4, -2, 2, -1, 1, 2, -2, 0, -1, 0, 0, 0, 1, -1, 0, -1, -1, -1, 1, 1, 0, 2, -2, 4, -2, 0, -1, -2, 1, -1, 2, 0, 0, 1, 0, 0, -1, 1, 0, 1, 1, 0, 0, -2, 2, -2, 4, 0, 2, 2, -2, -1, -1, -1, 0, 0, 1, -1, 1, -2, -1, 0, 0, 1, -1, 1, -1, 0, 0, 4, 0, 0, 1, 1, 1, 1, 1, 1, -2, 1, 0, -1, 1, -1, -1, -1, 1, -1, 1, -1, 2, 0, 4, 1, -1, 1, 1, 1, 0, 0, -1, -2, -1, -1, -2, 0, 0, 2, -2, -2, 2, -2, 2, 0, 1, 4, -2, -1, -2, 0, 1, -1, 1, 0, 1, -2, 0, -1, -1, 0, -1, 1, -2, 1, -2, 1, -1, -2, 6, 2, 2, 0, 2, 0, -2, 1, -1, 2, 3, 2, -1, -3, 2, 1, 0, -1, -1, 1, 1, -1, 2, 6, 0, 2, 0, 2, -2, 1, -2, 2, -1, -1, -1, 1, 0, 2, -1, 2, -1, 1, 1, -2, 2, 0, 6, 1, 0, 1, -2, -2, -1, 1, 1, 0, 1, 0, 2, 1, 0, 0, -1, 1, 1, 0, 0, 2, 1, 4, -1, 1, -1, -1, 0, 1, 0, -2, -1, 0, 1, -1, 0, 0, 0, 1, 0, 1, 2, 0, 0, -1, 4, 0, -1, 1, -1, -1, 1, 1, 0, -1, 0, 2, 0, 1, 0, 1, 0, -1, 0, 2, 1, 1, 0, 4, -1, 1, -1, 1, -2, -1, 1, 2, 1, -1, 1, 0, 1, -2, -1, 1, -2, -2, -2, -1, -1, -1, 4, 0, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, 1, -2, 0, 1, 1, -2, -1, 1, 1, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, -2, -1, 0, -1, -1, 1, 0, 4, 0, 1, -1, -1, -1, 2, 2, -1, 1, -2, -1, -1, -2, 2, 2, 1, 1, -1, 1, 0, 0, 0, 4, 0, 0, 0, 0, 2, -1, -1, 0, -1, 1, -2, 0, 3, -1, 1, 0, 1, -2, 0, 0, 1, 0, 6, 1, -1, -4, 2, -1, -1, 1, 0, -1, 0, -1, 2, -1, 0, -2, 1, -1, 0, 0, -1, 0, 1, 4, 0, -1, -1, 0, 1, 1, 0, -1, 0, -1, -1, -1, 1, -1, 0, 1, 0, -1, -1, 0, -1, 0, 4, 2, 0, 1, 1, 0, 1, -1, 2, 0, -3, 1, 0, 0, -1, 2, 0, 0, -1, 0, -4, -1, 2, 6, -2, 2, 0, 0, -1, 1, -2, -1, 2, 0, 2, 1, 0, 1, -1, 0, 2, 2, 2, -1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 1, 1, -1, 0, -1, -1, 0, 1, -1, -1, 0, 1, -1, -1, 2, 1, 1, 2, -1, 4, -2, -1, 0, 1, 0, 1, 2, 0, 0, -2, -1, -1, 0, 1, 1, 2, 0, -2, 0, 0, 1, -2, 6, 3, 2, -2, -2, -2, -2, -1, 1, 1, 2, 2, -1, -1, 1, -1, 0, 1, 1, 0, 2, -1, 3, 6, 1, -1, -1, -1, -1, 1, 2, 2, 1, 1, 1, 1, -1, -2, 0, 2, 2, 0, 1, 0, 2, 1, 4, -1, -2, 0, -2, -1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 2, 1, 1, -2, -1, -1, 4, 0, 2, 2, 1, -1, -1, 0, 0, -1, 0, 0, 1, 2, -1, -1, 0, -1, 0, -2, -1, -2, 0, 4, -1, 1, 1, -1, 0, 0, 0, -1, 0, -2, 0, -1, 0, -1, -1, 0, 1, -2, -1, 0, 2, -1, 4, 0, 1, 0, -1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, -1, 2, -2, -1, -2, 2, 1, 0, 4, 1, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, -1, -1, 0, -1, 1, -1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 0, -1, 0, -1, -1, 1, -1, -2, 0, 0, 1, 2, 0, -1, -1, 0, 0, 1, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 1, -2, 1, 2, 0, -1, 0, -1, -1, 1, 0, 4, 0, 1, 1, 0, -1, -2, -1, 2, 0, 0, -1, -1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 2, -1, -1, 0, -1, -1, 0, 0, -1, -1, -1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 4, -1, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, 1, -1, -1, 1, -1, 0, 0, 1, -1, -1, 4, 0, -1, -1, 0, 1, 0, 1, 1, 1, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, -1, -1, 0, 4, 0, 0, 0, 0, 2, 1, -1, 1, 1, -1, 1, 0, -2, 0, 0, 0, 1, -1, 0, 0, -1, 0, 4, 1, 0, -1, 0, 0, -1, 2, -1, -2, 0, 1, 0, 1, 1, -1, 0, -2, -1, 0, -1, 0, 1, 4, 1, -2, 0, 0, 2, 0, 0, 0, 0, 2, -1, 1, 0, -1, 0, -1, -1, -1, 0, 0, 0, 1, 4, -1, 0, 1, 1, -2, 1, 2, 0, -1, 0, -1, -1, 1, 0, 2, 0, 0, 1, 0, -1, -2, -1, 4, 1, 0, 1, 0, 1, 2, 0, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 4, 0, 2, 0, 0, 0, 2, 0, -1, 0, -1, -2, -1, 0, -1, -1, 1, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 2, 2, 2, -1, 0, 2, -2, -1, 0, -1, 0, 1, -2, 2, 1, -2, -2, 0, 1, 4, 0, 2, -1, 2, 2, 1, 0, 0, 1, 1, -1, 1, 1, -1, 0, -1, -1, 1, -2, 1, -2, 0, 4, -1, 0, -1, -2, 1, 1, -1, 0, 1, 1, 1, -1, -1, 0, 0, -1, 0, 1, 1, 2, 2, -1, 4, 1, 1, 1, 0, -1, 0, -1, 1, 0, 1, 0, -1, -1, 1, 0, -1, -2, 1, 2, -1, 0, 1, 6, 0, 0, 0, 0, 1, -4, -1, 0, -1, 0, 1, -1, 4, 0, -4, 1, 0, 2, 2, -1, 1, 0, 6, 0, -2, -1, 1, 2, 1, -1, 1, 1, 2, 1, -2, -1, 2, 0, 2, 2, 2, -2, 1, 0, 0, 6, 0, -1, 2, -1, 0, -2, 0, 2, 0, 0, 1, 0, -1, -3, 0, -1, 1, 1, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, 1, -1, 0, -1, -1, 0, 4, 0, -1, -1, 0, -1, 0, 0, -1, 1, 0, -1, 1, -1, 2, 0, -1, 0, 1, 1, 2, 0, 0, 4, -1, 0, -1, 0, 1, 2, -1, 1, 0, -1, -2, 1, -2, 1, 0, -1, -4, 2, -1, 0, -1, -1, 6, 1, 0, 2, 1, 0, 2, -4, -1, 4, 0, 1, -1, 1, 1, 1, -1, 1, 0, 0, -1, 0, 1, 4, -1, 2, 0, 0, 1, -2, -2, 1, 0, 2, 0, -1, 1, 0, 0, -1, -2, 0, 0, -1, 0, -1, 4, -1, -1, -1, -1, 0, 2, 0, 0, 0, -1, 1, 1, 1, -1, 1, 0, 0, -1, 0, 2, 2, -1, 4, 0, 0, 1, -1, -2, 1, 0, 2, 0, 1, -1, 0, 0, 1, 2, 0, 0, 1, 1, 0, -1, 0, 4, 0, 1, -1, 0, 1, -1, 1, 1, -1, -1, -1, 1, 2, 0, -1, 0, 2, 0, 0, -1, 0, 0, 4, 1, 0, -1, 0, 1, 1, -2, 0, 0, -1, -1, 1, 0, -1, -1, -1, 2, 1, -1, 1, 1, 1, 4, -2, -1, 2, 2, 1, 2, -1, 0, 1, 4, -2, 1, 0, 1, 1, -4, -2, 0, -1, -1, 0, -2, 6, 1, -4, 0, -1, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, -1, -2, 2, -2, 0, -1, -1, 1, 4, -1, -1, -1, -2, 1, 0, -1, -4, 2, -1, 0, -1, -1, 4, 1, 0, 1, 1, 0, 2, -4, -1, 6, 1, 1, -2, -2, 1, -2, 1, 0, -3, -1, 1, -2, 0, 0, 0, 0, -1, 1, 2, 0, -1, 1, 6, -1, 0, 1, 1, 1, 0, 2, 0, 0, -1, 1, 1, 2, 0, 2, 1, 1, 1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 1, -2, 1, 1, 1, 0, 1, 0, 0, -1, -1, 1, 0, 1, 0, -1, 1, 4, -1, 0, 1, -1, 2, 1, 0, 1, 1, -1, -1, 1, 1, 0, 0, -1, 1, 0, -1, 0, -1, -1, 4, -1, 0, 0, 0, -1, 1, -1, -1, -1, 0, 1, 1, 2, -1, 0, -2, 1, -1, 2, -1, 0, -1, 4, 1, -1, 0, 0, -2, -1, 1, 2, 0, -2, 0, 0, 2, 1, 2, -2, 1, -1, 2, 1, 0, 1, 4, -1, 0, -1, 1, 0, 1, 1, 0, -1, 0, -1, -1, 2, 1, 1, 0, -1, 1, -1, 0, -1, -1, 4, -1, -1, 0, 1, 0, -1, 2, 1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 2, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -1, 0, -1, -1, 0, 4, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 1, -2, 1, 0, 0, 0, 4, 1, -1, 0, -1, 1, 0, -1, -2, 1, -1, 2, -1, 0, 1, 1, -1, -1, 0, 1, 0, 0, 1, 4, -1, -1, 1, 1, -1, -1, -1, 0, 0, 1, -1, 0, 1, 1, -1, 1, 1, 0, 0, -1, -1, -1, 4, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 2, 1, -1, 0, 0, 0, -1, 0, 4, -1, -1, 0, -1, 0, 2, 2, 0, 1, -2, 1, -1, 0, 0, 0, 2, -1, -1, -1, 1, 0, -1, 4, -1, -1, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, -2, -1, 1, 0, 0, 1, 1, -1, -1, -1, 4, 2, 1, -1, -1, 0, 1, -2, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1, 1, 0, -1, 2, 4, 2, 0, -1, 0, 0, -1, 0, -1, 0, 2, 0, -1, 1, 0, -1, -1, -1, 0, -1, 0, 1, 2, 4, 1, -1, -1, -1, 0, 1, -1, 0, -1, 2, -1, 0, 0, 0, -2, -1, 0, 0, 0, -1, 0, 1, 4, -1, 1, -2, 1, 0, 1, -1, 0, 1, 2, 0, 0, -1, 1, 0, 0, 2, 0, -1, -1, -1, -1, 4, 1, 1, 1, -2, 0, 1, -2, 2, 1, -1, 0, 1, -1, 0, 0, 2, -1, 0, 0, -1, 1, 1, 4, -1, 0, -2, 1, 0, 1, -2, 1, 0, 0, 0, 2, 1, -1, 0, 0, 1, 0, -1, -2, 1, -1, 4, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0, -1, -1, 1, 1, 1, -2, -1, 0, 1, 1, 0, 0, 4, -1, -1, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 1, 0, -2, -2, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -2, -1, -2, -2, -1, -2, 0, 1, 0, 1, -1, -1, -2, 2, 2, 2, -2, -1, 0, -1, 4, -1, 1, 2, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, 2, -2, 1, -2, -1, 1, 1, 2, -1, 4, -1, -2, -2, 0, -1, -2, -1, 1, -1, 1, -1, 0, 0, 0, 1, 1, -1, -1, -1, -2, 1, -1, 6, 3, 1, 3, -1, 0, -2, 2, 1, -2, 0, 2, 1, 1, -3, -1, 3, 2, -2, -1, 2, -2, 3, 6, 2, 0, 1, 0, -1, 1, 2, -1, 0, 1, -1, 2, 0, -2, 0, 1, -1, -2, 0, -2, 1, 2, 4, 0, 2, 2, 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, -2, 0, 0, 3, 0, 0, 4, 0, 0, -1, 1, -1, -1, 1, 2, 1, -1, -3, -1, 3, 1, -1, -1, 0, -1, -1, 1, 2, 0, 4, 1, 0, 0, -1, 1, 0, 0, -2, 0, 0, -2, 0, -1, 0, -2, 0, -2, 0, 0, 2, 0, 1, 4, 1, -2, 0, 0, 1, 0, 1, 0, -1, -1, 1, 0, 1, 0, 1, -1, -2, -1, 0, -1, 0, 1, 4, 0, 0, 1, 1, 0, 1, -1, 1, 0, -1, -1, 1, 1, 1, 1, 2, 1, 0, 1, 0, -2, 0, 6, 1, 0, -2, 2, -2, 0, 1, 0, -1, 0, -1, 0, 1, -1, 1, 2, 1, -1, -1, 0, 0, 1, 4, -2, 0, 0, 0, 0, 2, 0, -2, 1, 0, 1, -1, 1, -2, -1, -1, -1, 1, 0, 1, 0, -2, 4, 0, 0, -1, 1, 0, 0, 0, -2, 0, -1, -1, -1, 0, 0, 0, 1, 0, 1, 1, -2, 0, 0, 4, 1, 1, 0, -1, 0, 1, 0, -1, -1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 4, 0, 0, -2, -1, 1, 0, -1, -2, 2, 0, 1, -1, -1, 1, -2, 1, 1, -2, 0, -1, 1, 0, 6, -2, -1, -1, 1, 1, 1, 2, -2, 0, 1, 2, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, -2, 6, -1, 1, 1, -1, -1, 2, 1, 1, -3, 0, 0, -3, 0, -1, 1, 1, 2, 0, -1, -2, -1, -1, 6, 1, -4, 0, 1, 2, -2, 1, -1, -2, -1, -1, -2, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, 4, -1, 0, 0, -2, -1, -1, 3, 0, 0, 3, 0, 1, -1, -1, -2, 0, 1, 1, 1, 1, -4, -1, 6, 1, -1, -1, 1, -1, 2, 1, 1, 1, -1, 0, -1, 0, 1, -2, 0, 0, 1, -1, 0, 0, 1, 4, 0, 0, 1, -1, -2, -1, 0, -1, 0, 1, 1, -1, 0, 0, -1, -1, 1, -1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, -1, 0, 2, 1, 0, -1, 0, -1, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 4, -2, -2, 1, 0, 0, -1, -1, 2, 1, 0, -2, 0, 0, -1, -2, 0, -1, 2, 0, 1, 0, -2, 6, -1, 2, 2, 0, -2, 0, 1, -3, 0, 1, -1, 0, 3, 0, 1, 1, 1, 1, -2, 2, -2, -1, 6, -3, -1, 1, 2, 1, -3, 2, -1, 2, 1, -1, 0, 1, -1, 1, -3, -1, 1, -1, 1, 2, -3, 6, 2, 1, -1, -2, 0, -1, -1, -1, 1, 2, 0, -2, 2, -2, 3, -1, -2, 0, 0, 2, -1, 2, 4, 0, -1, -2, 0, -1, -1, -1, 1, 0, 1, -1, 0, 0, 0, -1, 0, 2, 0, 0, 1, 1, 0, 4, 1, -1, -2, 0, -2, 0, 1, 2, 0, 1, 0, -1, -1, -1, -1, 1, -1, -2, 2, -1, -1, 1, 4, 1, -3, 1, -1, 1, 2, 0, 0, 2, 0, -1, -1, -2, 1, 0, -1, 0, 1, -2, -2, -1, 1, 4, 0, 0, 0, 1, -1, -1, 1, 2, 1, 0, 0, 1, 0, -1, 2, 1, -3, 0, 0, -2, -3, 0, 6, -2, 2, -2, -2, -1, 0, -2, 0, 1, 3, 2, 0, 0, 1, -3, 2, -1, -1, 0, 1, 0, -2, 4, -1, 0, 1, -1, -1, 0, -1, -1, -1, -1, 1, -1, 0, 0, -1, -1, -1, -2, -1, 0, 2, -1, 4, 0, -1, 0, 0, -1, 0, 2, 1, 1, 0, 0, -2, 1, 2, -1, -1, 0, 1, 1, -2, 0, 0, 4, -1, 0, 0, 1, 0, 0, -2, 0, 0, 1, 0, -1, 1, 1, 1, 1, 2, -1, -2, 1, -1, -1, 4, 0, 0, 0, 0, -1, 0, -2, 1, 1, 0, 0, -1, 2, 0, 2, 0, -1, -1, -1, 0, 0, 0, 4, -1, 0, 1, 0, 0, 0, -2, 1, -1, 3, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, -1, 4, 1, 1, 1, 1, 0, -1, 1, -2, 0, 1, -2, -1, 1, 2, 2, -2, 0, -1, 1, 0, 0, 1, 4, 0, 0, -2, 0, 0, 1, 0, 1, -1, 2, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, 4, 0, 2, 0, -1, 1, -1, 1, 1, -2, 0, -1, -1, 0, 1, -1, 2, 0, -1, 0, 1, 0, 0, 4, -1, 1, 0, -1, 2, 1, -3, 3, 0, -1, -1, 0, 3, -1, 1, -2, 0, 0, 1, -2, 2, -1, 6, 1, -1, -1, 0, 1, -1, -1, -1, -1, -2, 1, 2, -1, 1, 0, -2, 0, 0, 0, 0, 1, 1, 4, -1, 0, 1, -2, 1, -2, 0, -1, 1, 0, 0, 1, 0, 0, 1, -2, -1, 0, -1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 1, 2, -1, -1, 1, 0, -1, 1, 1, 1, -1, -1, 1, -2, -1, -1, -1, 1, 4, 0, -2, 0, 2, 0, -2, 1, 2, 0, -1, 0, 0, -1, 0, -1, 1, 1, 0, 0, 0, -1, 0, 4, 2, 0, 0, -1, 1, -1, 0, -1, 0, -2, 1, 0, 0, -1, 1, 1, 2, -1, -1, -2, -2, 2, 6, -1, -1, 0, 2, 0, -3, 1, 2, 0, 0, -1, -1, 2, -1, 2, 1, 0, 0, 1, 0, 0, -1, 4, 0, 1, 1, -1, -1, 0, 0, -1, 2, 0, 1, 1, 1, -2, 0, -2, 1, 1, 2, 0, -1, 0, 4, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 2, 0, -1, 0, 1, 1, 4, 1, -1, 0, 1, 1, 1, 1, 1, 0, 0, -1, -2, 0, -1, -1, -1, -2, 1, 2, 1, 0, 1, 4, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, -1, 0, -1, -1, -1, -2, 4, 0, 1, 0, 0, 0, -2, 1, 1, -1, 2, 0, 0, 0, 1, 2, 0, -3, -1, 0, 0, -2, 0, 6, -2, -2, 0, 0, 1, 1, -3, 0, -2, 1, 0, -1, 0, 0, -1, 1, 0, 1, 1, 0, 1, -2, 4, 2, 0, 0, 0, 1, 2, -2, 1, 0, 0, 1, -1, -1, 0, 2, 0, 0, 1, 2, 0, -2, 2, 4, 0, 0, 0, 1, 1, -1, 1, 1, 0, 0, 1, 0, -2, 0, -1, 0, 1, 0, 0, 0, 0, 0, 4, -2, 0, -2, 0, 0, -1, -2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, -2, 4, 0, 1, 0, 0, -1, 1, -2, 0, 1, -1, 0, -1, 0, 1, 1, 0, -2, 1, 0, 0, 0, 0, 4, 0, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, 1, 0, 0, 0, 1, 1, 1, 1, -2, 1, 0, 4, 0, -1, 0, 2, -1, 0, -1, -1, -1, 2, 1, -1, 0, 0, 1, -3, 2, 1, 0, 0, -1, 0, 4, -1, 1, -1, 0, 2, 1, 1, 1, -1, 1, 0, -1, 0, -1, 0, -2, -1, 0, 0, -1, -1, -1, 4, 0, 0, 0, 0, -2, 1, 1, 2, -2, 1, -2, -1, 2, -2, 1, 1, -1, -1, -1, 0, 1, 0, 6, 0, 1, 0, -1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, -2, 1, 0, 2, -1, 0, 0, 4, 0, -1, -1, 0, -1, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, -2, 0, -1, 0, 0, 1, 0, 4, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 2, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 2, 0, -1, -1, -1, 0, 0, -1, -1, -2, 2, 1, 2, 0, -1, -2, -2, 1, -2, 4, 1, -2, -2, 0, 1, 2, 0, 0, 1, 1, 0, 2, -2, 0, -2, -1, 2, 2, 2, 0, 0, 1, 4, 0, -2, 0, 2, -1, -2, 0, 0, 0, 0, 1, -2, 0, -2, 1, 1, 1, 2, 1, 1, -2, 0, 6, 3, -2, 0, -1, 2, 0, -2, 1, 2, -1, 0, -1, 3, -1, -1, -1, 0, -1, 2, -2, -2, 3, 6, 0, -1, 0, 2, 1, -2, -1, 0, -2, 3, 1, 4, 0, 0, -2, -3, -1, 0, 0, 0, -2, 0, 4, 1, 1, 0, 0, 0, -2, -1, 0, 1, 0, 0, 0, 1, 0, -1, -1, -1, 1, 2, 0, -1, 1, 4, 1, 0, -1, -1, 0, 1, 1, -1, -1, -2, 1, 0, 1, 1, -1, -1, 2, -1, -1, 0, 1, 1, 4, 2, -1, 0, 1, 0, 0, 0, -1, -1, -1, 1, 0, 0, -1, -1, 0, -2, 2, 2, 0, 0, 2, 4, 0, -1, 1, 1, 0, 1, -1, 1, -1, 0, 0, -1, -2, 0, 0, 0, 0, 1, 0, -1, -1, 0, 4, 1, -1, -1, 0, -1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, -2, -2, 0, -1, 0, -1, 1, 4, -1, 0, 1, 0, -1, -1, 0, 0, 1, 0, 2, -1, 1, 0, 1, -1, -2, 0, 1, 1, -1, -1, 4, 1, 0, -2, -1, -1, -1, 0, 0, 2, -1, -1, 0, 0, 2, 0, -1, 1, 0, 1, -1, 0, 1, 4, 0, 0, -2, 0, 0, 0, 0, 0, -1, -2, 2, 1, -1, -2, 0, 1, 0, 0, 0, 1, 0, 0, 4, -2, 0, -2, 0, 0, 2, 1, 0, 2, -2, -2, 0, 3, 1, -1, 0, 1, -1, 0, -2, 0, -2, 6, 1, 1, 0, -1, -1, -4, 0, 1, 0, 0, -1, 1, 0, -1, -1, -1, 0, -1, -1, -2, 0, 1, 4, 1, 0, 0, 0, -1, 1, 2, -2, -2, 3, 4, 0, -2, -1, 1, 2, -1, -1, 0, -2, 1, 1, 6, -1, 0, -2, -1, 0, 0, -1, 1, -1, 0, 0, 1, -1, -1, 1, 0, -1, 0, 0, 0, 0, -1, 4, 0, 0, 0, 1, -1, 2, 1, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, 1, 0, -2, 2, 1, -1, -2, 0, 1, 0, 0, 0, 1, 0, 0, 2, -1, 0, -2, 0, 0, 4, 2, 0, -2, 2, 2, 0, -3, -1, 1, 0, -1, 1, 0, 2, 0, 1, -4, -1, -1, 0, 1, 2, 6, 0, 1, 0, 1, -1, -1, -1, -1, -1, -2, 1, 2, -1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, -1, 1, 0, -2, 1, -1, -1, -1, -1, -1, 1, 0, 2, 0, 0, -1, -2, 4, 1, -1, 2, 1, 2, 0, 0, 0, -1, 0, 0, 2, 0, -1, 0, 1, -1, -1, 1, 0, 0, 1, 4, 1, 1, 2, -1, -1, -1, -1, -1, -2, -1, -1, -2, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 4, 0, 0, -2, 1, 1, 0, 0, -2, 1, 0, -2, 0, 1, 1, 0, -1, -1, 1, -2, 2, 1, 0, 4, 2, 1, -1, 1, 1, 0, 0, 1, 2, 0, 0, -1, 0, -2, 0, 0, 0, -1, 1, 2, 0, 2, 4, -1, -2, -1, -1, 0, 0, -1, 1, 0, 0, -2, 0, -1, 0, 0, 0, -1, 2, -1, -2, 1, -1, 4, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, -1, 1, -1, -2, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 4, 1, 0, 0, 1, 1, 0, 0, 2, 0, -1, 0, -1, 0, -2, 0, -1, 0, 1, -1, 0, 0, 1, 6, -2, 1, 2, -1, 1, 0, -1, -2, 0, 2, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -2, 4, 1, 1, 0, 0, 0, 0, 1, -1, -1, -1, 0, -1, 0, -2, -2, 0, 0, 1, 0, 0, 1, 1, 4, 0, 1, 2, 0, -1, -1, -1, 1, 0, 0, -1, 0, -1, 1, 1, -1, 0, 0, 1, 2, 1, 0, 4, 0, 0, 0, 0, 1, -1, -1, 0, 1, -1, 2, -1, 0, 2, 1, 1, 1, 1, -1, 0, 1, 0, 6, 1, -1, 1, 1, -2, -1, 1, 0, -1, 0, -2, -2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 4, 0, -1, -2, -1, 1, 0, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, -2, 0, 1, 2, -1, 0, -1, 0, 1, -1, 0, 4, 1, 0, -1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, -2, 1, -1, 1, 1, -2, 0, 1, 4, 0, -2, 1, 0, 2, -1, 1, 0, -2, -1, -1, 1, -1, 0, -1, -1, -1, -2, -1, 0, 0, 0, 4, 0, 1, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 2, -1, 1, -1, -1, 1, 0, -1, -2, 0, 4, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 4, -1, -1, 0, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 1, -2, 0, -2, -1, -1, 1, -1, 0, -2, 0, 0, 2, 0, -1, -2, 0, 0, 1, 4, 0, -1, 0, 0, 1, -2, 0, -1, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, -1, 1, 2, 0, 4, 2, 0, -1, 0, -1, 0, 0, 0, -1, 1, -2, 1, -1, 1, 0, -2, -2, -1, -1, 1, -1, 2, 6, 1, -1, 0, 2, 0, 1, -2, 1, -1, 0, 0, -2, 1, 2, 1, 0, 0, -3, 1, 0, 0, 1, 4, -2, 0, -1, -2, 1, -1, 1, 1, -1, 0, 0, 2, 2, -1, -1, 0, -1, -2, 0, -1, -1, -2, 6, -2, 3, 3, 2, 0, -1, 0, 1, -1, 1, -1, 1, 3, 1, 1, 1, 0, 1, 0, 0, 0, -2, 4, 0, -2, 0, 1, 1, 0, 0, 2, 0, -1, 0, -2, 0, -2, 0, -2, -2, -1, 2, -1, 3, 0, 6, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, -1, -1, 0, 0, 0, -2, 3, -2, 2, 4, 0, 0, -1, 0, 1, 0, 0, -1, 0, 2, 1, 0, 0, -1, -1, 0, 1, 1, 2, 0, 2, 0, 4, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, -2, -1, 0, 1, 0, 0, 0, 4, -1, 1, -1, 0, 1, 0, -1, -1, -1, 0, 1, -1, 0, -1, 1, 1, -1, 1, 1, -1, 1, -1, 4, 0, 1, 1, 0, -1, 1, -1, 1, -1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 1, 0, 4, -2, 1, 0, 1, 1, -1, -2, -1, 0, -2, 0, -2, 0, -1, 1, 0, 1, 1, 0, -1, 1, -2, 4, -1, 0, -2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, -1, 2, 0, 0, 0, 0, 1, 1, -1, 4, 0, -1, 0, -2, 0, -2, 0, 0, -1, -1, -2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 4, 1, 0, -1, 0, 0, 2, 2, -1, 1, 1, 2, -1, -1, 0, -1, 0, 0, -1, 1, -2, -1, 1, 4, 1, 0, -2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, -1, 1, 1, 0, 0, 0, 1, 4, 1, 0, 0, -1, -1, 0, -2, 1, -1, 3, -2, 2, 2, 0, -1, -1, -1, 1, -2, -1, 0, 1, 6, 1, 2, 0, -2, 0, -2, 0, -1, 1, 0, 1, 1, 0, -1, 1, -2, 2, 0, 0, -2, 0, 1, 4, 1, 0, 0, -1, -1, 0, 0, 1, -2, 0, 0, 0, 0, -1, -1, 0, -2, 0, 1, 0, 2, 1, 4, 0, 0, 1, -1, -3, -1, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, 2, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 0, 1, 0, -1, -2, 1, 2, -1, -1, -1, 0, 2, 1, -1, 1, -1, -1, 1, -2, 4, 2, -2, 1, -1, -1, 0, 2, 1, 0, 1, 1, -1, -1, -2, 0, 1, -1, 1, -1, 0, -2, 2, 4, -2, 1, 0, -1, 0, 1, 0, -1, 0, 1, 1, 1, -2, -1, 2, -2, 0, -1, 0, 1, -2, -2, 4, -2, -1, 2, -1, -1, 0, -1, 0, 0, 1, 0, 2, 1, -2, 1, 0, 0, 1, 0, 1, 1, -2, 4, 0, -2, 1, 0, -1, 2, -1, 0, -2, 0, -1, 0, 0, -1, -1, 1, 0, 1, -1, 0, -1, 0, 4, 0, -1, -1, 1, 0, -1, -1, -1, 1, 0, -1, 2, 0, -1, 1, -1, 0, -1, -1, 2, -2, 0, 4, 0, 1, 1, -1, 1, -1, 0, -1, 1, -1, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, 4, 1, -2, 0, 1, 0, 1, -1, -1, -1, 0, -1, 0, 1, -1, -2, 2, 1, -1, 0, -1, 1, 1, 4, 1, -1, 1, 0, 0, -1, -1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, -1, 1, 1, -2, 1, 4, 0, 0, -1, -1, 0, 0, 1, 1, 1, 0, -1, 1, 2, 0, -1, -1, 2, 0, -1, 0, -1, 0, 4, 0, -1, -2, -1, 1, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 4, -1, 0, -1, 0, -1, 0, -1, 2, -1, 0, -1, 1, 1, 0, 0, -1, -1, 0, 0, -1, -1, -1, 4, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1, -1, 1, 1, -2, -1, 0, 1, 0, -1, -2, 0, 0, 6, 0, -1, 0, 0, -1, 1, -2, 1, 0, -1, 1, 0, 0, 1, -1, -1, -1, 0, -1, -1, 1, 0, 4, 1, 0, 0, 1, -1, 1, 1, 2, -2, -2, 2, -1, 0, 1, -1, -1, 0, 1, 0, 0, -1, 1, 4, 0, -2, 2, 0, 1, 1, 1, 0, -1, 1, 0, -1, -1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 4, -1, 1, -1, -1, 2, -1, 1, 2, -2, 0, 2, 0, 0, 1, 1, -1, 0, 0, 0, 0, -2, -1, 4, -1, 0, 0, -1, 1, -1, -2, 1, -1, 0, 0, -1, 0, 1, 0, -1, 0, -1, 1, 2, 1, -1, 4, -1, 1, 1, -1, 1, 0, 0, -1, -1, 1, 0, 1, 0, 0, 2, -1, 1, -1, 0, -1, 0, -1, 4, 0, 0, -1, -1, -1, 0, 1, 1, 1, 1, 0, -1, 0, -1, 0, -2, 1, 1, -1, 0, 1, 0, 6, -2, 1, 0, 0, 1, 0, -1, -1, -1, 0, 1, 0, 0, 0, 1, 1, 1, 2, -1, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, 1, -1, -1, 2, -1, 0, -1, -2, 1, 0, 0, 1, 1, 1, 1, 2, -1, -2, 4, 2, -1, 0, 1, 0, 2, -1, 1, 1, 0, 2, -1, -1, 1, 0, -2, -2, -1, -1, 1, -2, 2, 4, -1, 1, 0, 1, 1, -2, 1, -1, 1, 2, -1, 1, 1, 1, -1, -2, -1, -2, 0, 1, -1, -1, 4, 1, -1, 0, -1, 2, 0, -1, 1, -1, 2, 1, 1, 1, 1, 1, 1, -1, -2, 1, 0, 1, 1, 6, 2, -1, 2, -1, -2, 0, -1, 1, 1, 2, 0, 3, 2, -1, -2, 0, -3, 1, 1, 0, -1, 2, 6, 1, 2, -1, 1, 3, -1, 0, 0, -1, -1, -1, -1, -1, -1, 3, -2, -1, 0, 1, 0, -1, 1, 4, -1, -1, 2, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, -1, 2, 1, -1, 2, 2, -1, 4, -2, 0, 2, 0, 2, -1, 0, 0, 1, 0, -2, -1, 0, -1, 2, -1, -2, 2, -1, -1, -1, -2, 4, 0, -1, 0, -2, 1, 0, 0, 0, 0, 1, 1, 1, 0, -1, 1, 1, 0, -2, 1, 2, 0, 0, 4, 0, 1, 0, 0, -1, 0, -1, -2, 0, 1, 0, 0, 0, 1, -1, -1, 0, 3, 0, 2, -1, 0, 4, 0, 0, 0, -1, -1, -1, -1, -1, 0, 2, 0, -1, 0, 1, 1, -1, -1, 1, 0, 0, 1, 0, 4, 0, 0, 0, 1, 1, 0, 0, 1, -2, -1, -2, 2, 2, -1, 1, 0, 0, 2, -2, 0, 0, 0, 4, -2, 0, 0, 0, 0, -2, -2, -2, 1, 1, -1, -1, 2, 1, 0, 0, -1, 1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, 1, 1, -2, 0, -1, 1, 1, 2, -1, -1, 0, 0, -1, -1, 0, 0, 0, 4, 0, 1, 1, 0, 0, -1, -1, 0, 1, 1, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 4, 1, 0, 0, 1, -1, -1, 1, 0, 1, 1, 3, -1, -1, 1, 0, -1, -1, 1, 0, 0, 1, 1, 6, 1, 0, 0, -2, -1, 1, -2, -1, 1, 2, -1, -1, 0, 0, -2, -1, 0, 0, 0, 1, 0, 1, 4, 1, 0, 0, -1, 1, -2, -2, 1, -1, -1, 0, -2, 1, 0, -1, 0, -2, 1, 0, 0, 0, 1, 4, 1, 0, 0, 1, -1, -1, 1, -2, -1, 0, -1, 1, 1, 0, 1, -2, 1, 0, 1, 0, 0, 1, 4, 1, 0, 2, -1, -2, -1, 0, 3, 0, 0, 1, 0, 2, -2, -2, 1, -1, -1, -2, 0, 0, 1, 6, -1, -1, 1, 0, -2, -3, -2, -1, -1, 0, 0, 0, -1, 1, -2, -1, -1, -1, -1, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 2, 1, -1, 0, 1, -1, 1, -1, -2, 1, -1, -1, -1, -1, 1, 0, -2, 1, -1, -2, 4, 1, -2, -2, 0, 0, -1, 2, -1, 0, 2, -1, 0, 1, 0, 0, -1, 0, 2, -1, 0, 0, 1, 4, 0, -1, -2, 0, 1, 2, -2, 1, 1, 1, 1, 2, 0, -1, 1, 1, 0, -2, 0, 2, -2, 0, 6, 3, -1, 1, 0, -1, 1, 2, 0, 3, -2, -2, 1, 0, -1, 2, -2, 1, -2, 1, -2, -1, 3, 6, 2, 1, 0, -1, 1, -1, 0, 2, 0, 0, 0, 2, 0, 1, -1, 0, -1, -1, 0, -2, -1, 2, 6, 1, -1, 0, 2, -3, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, -1, 0, 0, 0, 1, 1, 1, 4, -1, 0, 2, 1, 0, 0, -1, 0, 0, -1, 0, -1, -2, 2, -2, 1, -1, 1, 0, 0, -1, -1, 4, 1, -1, -1, -1, 1, 1, 1, 1, 1, 2, 1, 1, -2, 1, -1, 2, 2, -1, -1, 0, 0, 1, 4, -2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, -2, 0, 1, -1, -2, 1, 1, 2, 2, -1, -2, 4, -1, -1, 0, -1, -2, 0, 0, -1, -1, -1, 3, -1, -1, 0, 1, 2, -1, -3, 1, -1, 0, -1, 6, 0, 0, -2, 0, 1, -1, 0, 0, 0, -1, -1, -2, 2, 1, 0, 0, 0, 0, -1, 1, -1, 0, 4, 0, 1, 1, 0, 0, -1, 1, 0, -1, 0, 1, -1, 1, 3, 2, 0, 0, 1, 1, 0, 0, 0, 4, 0, 0, 1, 1, 0, 1, -1, 0, -1, -1, 0, 1, -2, 0, 1, -1, 1, 0, -1, -2, 1, 0, 4, 2, 0, 1, 1, 1, 0, -1, 1, -1, 1, 2, -2, 0, 0, 0, 1, 2, -2, 0, 1, 0, 2, 4, 0, 0, 2, 0, 0, -2, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 4, 2, 0, 1, 1, 0, 0, -1, 0, -1, 0, 2, 2, -1, 1, 0, 0, -1, 0, 1, 1, 0, 2, 4, 0, 1, 2, -1, 1, 1, -1, 1, -1, 0, 0, 0, 2, 1, -1, 0, -1, 0, 1, 2, 0, 0, 4, 0, 0, -1, 0, 0, 0, 1, 2, 1, 0, -1, 1, 0, -1, 0, 1, 1, 1, 0, 1, 1, 0, 4, 0, -1, 0, -2, 2, 0, -2, -1, 0, -2, 1, 1, -1, 0, 0, -1, 0, 0, 1, 2, 0, 0, 6, -2, 2, 1, -1, -2, 1, 0, 2, 2, -2, -2, 3, -1, -1, 0, -1, -2, 0, -1, -1, -1, -2, 6, -2, -1, 0, 0, -2, -1, -1, -2, 1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 0, 0, 2, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, -2, -1, 1, 2, 2, 2, -1, 0, 2, -1, 1, 0, -1, 1, 2, 1, -2, 0, 1, 4, 2, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 1, -1, 0, -1, 2, -1, 2, 0, 0, 1, 2, 4, -2, -2, 0, -1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -2, 6, 3, -1, 0, -1, -3, -2, -2, 1, -2, -1, -1, -1, -2, 2, -2, 2, 1, 2, -2, -1, -2, 3, 6, 1, 0, -1, -2, -1, 0, 2, 0, -1, 0, 1, -1, 2, -3, 1, 3, -1, -1, 0, 0, -1, 1, 4, -1, 0, 0, 0, 1, -1, 0, -1, 1, 2, 1, 1, -2, 1, 2, 0, 1, -1, -1, 0, 0, -1, 4, 1, 1, 1, -1, -1, 1, 0, 0, -1, -1, 0, 2, 0, -2, 0, 2, 1, 2, -1, -1, 0, 1, 4, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 1, 1, -3, -2, 0, 1, 2, 4, 2, 0, 0, 2, 0, 0, 1, 1, -1, 1, 0, -2, -1, 2, 1, 0, -2, -1, 0, 1, 0, 2, 4, -1, 0, 2, 0, 0, 1, -1, 0, 2, 1, 0, -1, -1, 0, 0, -2, 0, 1, -1, 0, 0, -1, 4, -1, 0, 1, 1, 0, 2, 0, -1, -1, 0, -1, 0, 0, 0, 1, 2, -1, -1, 0, 0, 0, -1, 4, 1, 0, 0, 0, 0, 0, -1, -1, 1, -1, 2, 1, 1, -2, 0, 0, 1, 2, 2, 2, 0, 1, 4, 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 4, -1, -1, 0, -1, 0, -1, -1, -1, 1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 4, 1, 1, 1, 1, 0, -1, 0, 0, 0, 0, -1, 1, 2, -1, 0, 1, 1, 0, 0, 0, -1, 1, 4, 1, 0, -1, 1, 1, 0, -1, -1, 0, -2, -1, 1, -1, 0, 1, -1, 2, 0, 0, 0, 1, 1, 4, -2, 0, -2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, -2, 6, -2, 4, 1, 1, 2, -1, 0, -2, -3, -2, 2, 0, 1, 2, -1, -1, 1, 0, 1, -1, 0, -2, 6, -2, -2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, -1, -1, 0, -1, 0, 1, -2, 4, -2, 6, 1, 1, -2, 0, -1, 1, 3, 2, -2, -2, -2, 0, 0, 1, 0, -1, -1, 1, 0, 1, -2, 1, 6, -1, 0, 0, 0, 2, -1, 0, 0, 0, -1, -1, -1, -1, -2, -1, 0, 0, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, 0, 2, -1, -1, -1, -2, -2, 1, -1, -1, -1, 1, 1, 0, 0, 1, 1, 0, 4, -1, 1, 0, 1, 0, 2, 2, -1, -1, 1, 1, 1, 2, 0, -2, 1, 2, -1, -2, 0, 1, -1, 4, 0, -1, -1, 1, -1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, -2, 1, 0, 4, 0, 0, -2, 1, 2, 1, 0, 2, -1, 0, 1, 0, -2, -1, 2, 0, -1, 0, 0, 0, -1, 0, 4, 1, -1, 1, 0, -2, -2, 0, 0, 1, 0, 0, 1, 0, -2, -2, 2, 1, 0, 1, -1, 0, 1, 6, -2, 3, 0, 0, -3, 0, -1, 1, 2, -2, -2, 1, 2, -2, -2, -2, 2, 0, 1, -2, -1, -2, 6, 0, -1, 1, 1, 0, 3, -2, -2, 1, 0, -1, -1, -1, 0, 2, -1, 2, -1, 1, 1, 3, 0, 6, 2, 0, -2, 1, 1, 1, 2, 1, -1, 1, 2, -1, -3, 0, -1, 2, 0, 2, 0, 0, -1, 2, 4, -1, 0, 1, 1, 0, 2, 0, -1, 1, 1, 0, -2, 0, -1, -1, 1, 1, -2, 0, 1, 0, -1, 4, 1, 1, 0, -1, -1, 0, -1, -2, 1, 1, -1, 0, -2, -1, 1, 0, -2, -3, 1, -2, 0, 1, 6, 0, 0, -1, 0, 2, 1, 0, -1, 2, -1, -1, -2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 4, 0, 1, 1, 0, -2, -1, 1, -2, -1, 0, 1, 1, 1, -1, 0, -1, 3, 1, 1, 0, 0, 0, 4, 0, 0, 1, 1, 0, -1, -1, 0, 1, -1, 1, 0, 0, 1, 1, -2, 1, 0, -1, -1, 1, 0, 4, 2, 0, 1, 1, 1, -1, 0, -1, -1, 2, 0, 1, 0, 2, -2, 2, 2, -1, 0, 1, 0, 2, 4, 0, -1, 2, 2, -1, -2, -2, -1, 0, 0, 0, 0, -2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 4, 2, 0, -1, 1, 0, 1, 1, -2, 2, -2, 1, -2, 0, -1, -1, -1, 1, -2, 1, 1, -1, 2, 6, 1, -2, 2, 2, 1, 1, 1, 0, -1, 0, 1, -1, 1, 1, -2, 0, -1, 0, 1, 2, 0, 1, 4, 1, 1, -1, -1, 0, 2, 1, 2, -2, 2, -1, 2, 1, 1, -1, 1, -1, 1, 2, -1, -2, 1, 6, 0, -3, -1, 0, -1, 1, 0, -2, -2, -1, -1, 0, 1, 2, -2, -1, -1, -1, 1, 2, 1, 0, 6, 0, 0, 1, -2, 0, -1, 2, -2, 0, -3, -2, -1, -1, -1, 0, 0, -2, 0, 2, -1, -3, 0, 6, 1, 1, 0, 0, 0, 1, -2, 2, 0, 0, 0, -1, 0, 1, -1, -2, 1, 1, -1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 0, 1, 2, -1, -2, -1, -2, -1, -2, -1, -2, 0, 1, 1, 0, -1, 0, -1, -1, 4, 1, -1, -1, 1, -2, -1, -1, 1, 2, 2, -1, 2, 2, 1, -2, -1, 1, 1, 1, 2, 2, 1, 4, 0, 0, 2, 1, -1, -1, 0, -1, -1, -1, -1, -1, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 4, -1, 1, 1, 1, 1, -2, -1, 1, -1, 1, 1, 1, 0, 2, 1, -2, 0, 1, 0, -1, 0, -1, 4, -1, 1, -1, 1, -1, -2, 0, 0, 0, -1, 1, 1, 1, -1, -1, -2, 0, 1, 1, 2, 1, -1, 4, 0, 1, -1, 0, -1, -1, -2, -1, 0, 1, 0, 0, 1, 0, 0, -1, 2, -2, 1, 1, 1, 0, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 0, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 4, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, -2, -1, -1, 1, 1, -1, -1, 1, 6, -2, -1, 0, 3, 0, 2, 0, 1, 2, -1, -2, 0, -1, -1, 1, 0, -2, -1, 0, -1, 0, -2, 4, 2, -1, 1, 0, 0, -1, -1, -2, 0, 2, 0, 0, -2, 2, -1, -1, -2, -1, -1, -1, -1, 2, 6, 0, 2, 0, 3, -1, -3, -2, -1, 2, 1, 1, -1, 2, -1, 1, 0, -1, -1, 0, 0, -1, 0, 6, -2, 4, 1, 2, -1, 0, 1, -1, 1, 4, -2, -1, -1, -1, 0, -2, -1, 0, 3, 1, 2, -2, 6, -2, 2, -2, 0, -1, -1, 1, 0, -1, -1, 2, -1, 1, 0, -1, -1, 0, 0, 0, 0, 4, -2, 6, 1, 2, -1, 1, 1, -1, 1, 4, -2, 2, -1, 1, -1, 0, -1, 0, 2, 0, 3, 1, 2, 1, 6, 0, -2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, -1, -1, 2, -2, 2, 0, 4, 0, 1, 0, -1, 0, 2, 1, -2, -1, 0, 1, 0, 0, 1, 1, -1, -3, -1, 0, -1, -2, 0, 4, 1, 0, -1, 0, -1, 1, -1, 0, 2, 1, 0, 1, 0, 2, -2, -2, 0, -1, 1, 0, 1, 1, 4, 0, -2, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 1, -1, 1, 1, 0, 0, 0, 4, 0, 0, 2, -1, 1, 0, -2, -1, 0, -1, 0, -2, 2, 2, -1, 1, -1, 0, -1, -1, -2, 0, 4, 1, 0, 0, 1, 0, 0, -2, 0, -1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, -1, 2, -1, 1, 0, -1, -1, 0, -1, 0, 1, 4, -1, 4, 2, 2, -1, 0, 2, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 1, -1, 2, 1, 1, 0, -1, -2, 1, 1, -1, 0, -1, 1, -2, -1, 2, 1, 1, 4, 1, 1, 2, 0, 0, -1, 0, 1, 0, -2, 1, 0, 0, -1, -2, 2, -2, 0, 0, 0, -1, 1, 4, -1, 0, -1, -1, -2, -1, -1, -1, -1, -1, -1, 0, -2, 0, 0, -1, -1, -2, 1, 2, 1, -1, 4, 0, 1, 2, 0, 0, 0, 1, -2, 1, 0, -1, 0, -2, 0, -1, 1, 0, 1, 1, 2, 0, 0, 4, 0, 0, 1, 1, 1, 0, -2, 0, 1, 1, -1, -1, 2, -2, 0, 1, 1, -1, 0, -1, 1, 0, 4, -1, -1, -1, 0, 2, 0, -1, 0, 0, 1, -1, 0, 2, 2, -1, 0, 2, 0, -1, 2, 0, -1, 4, 2, 1, 0, -1, 0, 1, 1, -1, 0, -1, -1, -1, -1, 0, 1, 1, -1, -2, 0, 1, -1, 2, 6, 0, -1, -1, 1, 1, 0, 1, 1, 2, 1, -2, -1, 0, 1, 1, 0, -1, 0, 1, -1, 1, 0, 4, 0, 0, 1, 1, 2, 1, 1, -1, 0, 1, 0, 1, 0, 0, 1, -1, 0, 1, 0, 0, -1, 0, 4, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 0, 2, -1, -1, 0, 0, 4, -1, 0, -1, 1, 1, -1, 0, 1, 2, 0, 0, -2, -2, -1, -2, -2, 0, 0, 1, 1, 0, -1, 6, 1, 0, 0, 1, 2, -1, 3, -1, -2, -2, 1, 1, -1, 1, 0, -1, 1, 1, 1, 1, 0, 1, 4, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, 2, 0, -1, 0, -1, 4, -1, 1, -1, 0, 0, 0, 2, 0, -1, 0, 0, -1, 1, 0, -1, 1, 1, 0, 1, 0, 1, -1, 4, 0, 0, 0, 1, 1, -1, 1, 0, -1, -2, 0, -1, 1, 0, 1, 1, -1, 1, 1, 0, 1, 0, 4, 1, 0, 1, 1, 1, 0, -1, -2, 0, -2, -1, -1, -1, 2, -1, -1, -1, 2, 0, -1, 0, 1, 4, 0, 0, -1, 0, 0, 1, 2, 0, 0, 2, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, -2, 0, 1, 0, -2, -2, -1, -1, -2, 2, -1, -2, 1, 0, 1, 3, 0, 0, 1, 1, 0, -2, 6, 1, -1, -1, -1, 0, -1, 1, 0, 2, -1, -1, 0, 0, 2, -1, 0, 0, 1, 1, -1, 0, 1, 4, 1, 0, 2, 0, -2, 0, 1, -1, 0, 0, 1, 1, 0, -2, 0, 2, -1, 1, 0, 1, -1, 1, 6, -1, 1, 0, 1, 1, 1, 0, 1, 1, 0, -1, 0, -2, 0, 0, 1, 0, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 0, -1, -1, 0, -2, 0, 0, -2, 1, -1, -2, 1, 0, -1, 0, 2, -2, 2, 4, 0, 0, 0, -1, -1, 1, -1, -2, 1, -1, -2, -1, 1, -1, 2, -1, -1, -1, 2, -2, 0, 0, 4, 0, 0, 0, -1, -1, 0, -1, -2, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 2, -1, -2, -2, 0, 0, 0, -1, 0, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 1, 1, 2, 1, -2, 1, 0, 1, 1, 1, 2, 0, -2, -1, 1, 0, -1, 0, 0, -2, 4, 1, -1, -1, -2, -1, 2, 0, 1, -2, -1, -2, -2, 0, 2, 0, 0, -1, -1, -1, 2, 0, 1, 4, -1, -1, -1, 1, 0, 1, -1, -1, 1, -1, 0, 2, 0, -1, 0, -1, 1, -1, -1, 1, -1, -1, 4, 1, 1, 1, -1, 1, -1, 1, 0, 0, -1, 0, -1, -1, 0, 0, -1, 0, -2, 1, -1, -1, 1, 4, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, 1, -2, -2, -1, -2, 2, -2, -1, 1, 2, 6, 1, -1, 1, 1, 1, 1, 0, 2, -1, -1, -1, 1, 0, 1, -2, 0, 1, -1, 1, 1, 0, 1, 4, -2, 0, 0, 1, 0, 1, 1, -1, -2, 0, -1, 0, -1, 0, 0, -2, 2, 0, -1, 0, -1, -2, 4, -1, 1, -2, 0, -2, -1, 0, 2, 0, 0, -2, -2, 0, 0, 1, 0, 1, 1, 1, 1, 0, -1, 4, -1, 0, 1, -1, 0, 1, 0, -2, 2, 1, -1, -1, -1, 0, 1, -1, -1, 1, 1, 0, 1, -1, 4, -1, 0, -1, 1, -1, 1, 1, 0, -1, 1, 0, 0, 1, -2, -1, 1, 0, 1, 1, -2, 0, -1, 4, 1, 2, 1, 0, -2, 0, 1, -2, -1, -1, 1, 1, -1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 4, 0, 1, 1, 0, -1, 2, 1, 2, 1, -1, 1, -2, -1, 0, 0, 0, 1, -2, -1, -1, 2, 0, 4, 1, -1, -2, 1, 0, 0, -1, 0, 0, 2, -2, 0, -1, 1, 2, 1, -1, 0, 1, 1, 1, 1, 4, 0, -1, 0, 1, -1, -1, 0, 2, 0, 0, 2, 0, 0, -1, -1, 0, 1, -1, 0, 1, -1, 0, 4, 0, -1, 1, 0, -1, 0, 0, -2, 2, 0, -1, 0, -1, -2, 2, 0, 1, -2, 0, -2, -1, 0, 4, 1, 0, 2, 2, 0, 0, -1, 0, -1, -1, -1, -1, 0, 0, -2, 1, 0, -1, 1, 0, -1, 1, 4, -2, -2, -2, 1, 0, 1, 0, 0, 0, 1, 1, -1, 0, 2, 0, 1, 2, 0, 1, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 1, 0, 1, -1, -2, 0, 0, 1, -1, 0, 2, 2, 1, 2, 1, 0, 0, -2, 4, -2, 1, -1, -1, -1, 1, 1, 2, 1, -1, -2, 1, -1, -2, -1, 1, -1, -1, -1, 1, 2, -2, 4, -1, 0, 0, -1, -1, -1, -2, -1, -1, 1, -1, 1, 0, 1, -1, 2, 1, -1, 1, 0, 1, -1, 4, -1, 1, -1, 0, 2, 1, 0, 0, -1, 2, 1, 1, 0, 0, -1, -1, 0, 1, 1, -1, 0, -1, 4, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, -1, 1, 1, 1, 2, -1, 1, -1, 0, 1, 0, 4, 0, 1, 1, -1, -1, -1, 1, 1, 0, 0, 2, 1, 1, 1, -1, 0, 0, -1, -1, -1, 1, 0, 4, -1, 0, 0, -1, 2, 1, 0, 0, 0, -1, 0, 0, 1, 2, -2, 1, 1, -1, 0, 1, 1, -1, 4, 0, 0, 1, -1, 0, 0, -2, 0, 1, 2, 1, 0, -1, 0, -1, 1, -1, 2, 0, 1, 0, 0, 4, 1, -1, 1, 0, 2, 0, -1, -1, 1, 0, -1, 1, 0, -2, 2, -2, 1, 0, -1, 0, 0, 1, 4, 1, 0, -2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, -1, 1, 4, 1, -2, -1, -1, 2, 0, 1, -1, 0, 1, 1, 0, -1, -1, 0, 2, -1, 2, -1, 1, 0, 1, 6, -1, 0, -1, 2, -1, 1, 0, 1, 3, -2, 1, -2, 1, -1, 0, 1, 1, 0, 0, -2, -2, -1, 4, -1, 1, -1, 1, 0, 1, 1, 1, 0, -1, 1, -1, 2, 0, 1, 0, 0, 2, 2, -1, 0, -1, 4, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0, -2, 0, 0, -1, -1, 1, 0, 4, 0, -1, -2, 0, 0, 0, 1, 2, -2, 0, 1, 2, 0, 0, 0, -1, 0, 2, 2, -1, 0, 0, 6, 1, 0, -1, 0, 2, 0, 2, -1, 1, 0, -1, 2, -1, 1, -1, -2, 0, -1, 1, -1, -1, 1, 4, 1, 1, 1, -1, 1, 1, 1, -1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, -2, 0, 1, 4, 1, 1, 1, 0, 2, -1, 2, -1, 1, 1, 0, 1, 0, -2, -1, 0, 1, -1, 0, -1, 1, 1, 4, 1, -1, 0, 1, -1, 1, -1, 1, 1, 1, 0, -1, -2, 0, 1, 1, -1, 0, 0, 1, 1, 1, 4, 1, 0, 0, -1, -1, 0, 2, -1, 2, -1, 1, 0, 1, 3, 1, 0, 0, 2, -1, 1, -1, 1, 6, -1, 0, 1, 1, 1, -1, 0, -2, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 1, 2, -2, -2, 1, -2, 1, -2, -1, 1, -2, 0, -1, 2, 2, 0, -2, 1, 0, -2, 4, -1, 0, -2, 0, 2, -1, 1, 0, 2, 1, 0, 2, -1, 0, -1, -2, 0, 2, 1, 1, 1, -1, 4, 1, 2, 1, 0, 0, -1, 1, 0, 1, -1, 0, -1, -1, -1, 0, -1, -2, -1, 0, 1, 0, 1, 4, -1, 1, 0, 0, -2, 2, 0, 1, -1, -1, -1, -1, 0, -1, 1, 1, 2, 1, 2, -2, 2, -1, 6, -2, -1, 2, 0, 1, -1, 1, 2, -1, 1, 1, 0, 2, -2, -4, -2, 1, -2, 0, 1, 1, -2, 6, 0, 0, 1, -1, 0, 1, -1, 1, 0, -1, 0, -1, 1, 1, -2, 0, -2, 2, 0, 0, -1, 0, 4, -2, 1, 0, 2, 1, 0, 2, 0, 1, -2, -2, -1, 1, 0, 1, 1, -1, 0, 0, 2, 0, -2, 4, 1, 0, -1, 1, 0, -1, 0, 1, 1, 1, -1, -2, 0, 1, -2, 1, -1, -2, 0, 1, 1, 1, 4, -2, 1, 1, 0, 2, 1, 1, -1, -1, -1, 0, -2, 1, 1, 0, 1, 2, 1, -1, 0, 0, -2, 4, 1, 1, 1, -1, 0, -1, 0, 0, 1, -1, 2, 1, -2, 2, 0, 0, -1, 0, 2, -1, 1, 1, 4, 1, -1, 2, -1, 0, -2, -2, 0, 1, 0, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, -1, 1, -1, 0, -1, -1, -1, -1, -1, 1, 1, 0, -1, -1, 2, -1, 0, 0, 0, 1, -1, -1, 6, 0, 2, 0, 2, 2, 1, -2, 0, 1, -2, 2, 0, -1, -1, 1, 2, -1, 2, -1, 2, 1, 0, 4, 0, 0, -1, -2, 0, 1, -1, 1, 0, -1, -1, -1, 1, 0, 0, 0, 1, 0, -1, -1, 2, 0, 4, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, -1, 1, -1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 1, 2, -1, -1, 0, 0, 0, -2, 1, -1, 0, -2, -1, 2, -1, 0, 0, 4, 2, 1, -1, 1, 0, 2, -2, 0, -1, 2, -1, -2, 1, -1, 0, -2, -1, 2, -2, 0, 0, 2, 4, 0, -2, 0, -1, 0, 0, -1, 1, -2, 1, -1, -1, -1, 1, 0, -1, 1, 0, 1, -2, 1, 0, 4, 1, 1, 0, -2, 2, -2, 1, -4, 1, 1, -2, 0, -1, 1, -1, -2, 1, 0, 0, -1, -2, 1, 6, 2, 0, 1, 1, -1, 2, -2, -2, 0, 0, -2, 2, 0, -1, 0, -1, -1, 0, 1, 0, 1, 2, 6, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, -2, 2, -2, 1, -1, -2, 0, 1, 0, 0, 1, -1, -1, 1, 1, 2, 1, 4, -2, -1, 2, -1, -2, -1, 0, 2, -1, 1, 1, 1, 1, 1, 1, -2, -1, 2, 2, 1, -1, -2, 4, 0, -2, 1, 0, -1, 0, -2, 0, 0, -1, -2, -1, -1, 0, 2, 1, 0, -1, 0, 1, -1, 0, 4, -1, 2, -1, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 0, 1, 1, 2, -2, -1, 4, -2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 1, 0, 1, 1, -1, 1, 2, -2, 4, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, -2, -2, 0, -1, 0, 0, 6, 2, 0, 0, 3, 2, 1, 1, 0, -2, -2, 1, 0, -3, -2, -1, 2, -1, -1, 0, 1, 1, 2, 6, 0, 0, 2, 0, 1, 2, -1, 0, 1, -1, -1, 0, -1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 2, 0, 0, -1, 2, 1, -1, 1, 1, -1, 0, 1, 2, -2, -1, 2, -1, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 1, -1, -1, 0, -1, 0, 0, 3, 2, 1, 0, 4, 1, 0, 1, -1, -1, 0, 0, 0, -2, -2, -1, -2, 1, 0, -1, 0, 0, 2, 0, 2, 0, 1, 6, 1, 1, -1, 1, 1, 0, -1, 1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, 0, 0, 0, 1, 4, 1, 1, 0, 1, 0, 0, -1, 1, 0, 1, 1, -2, -1, 2, -1, 1, 2, 0, 2, 1, 1, 1, 4, 0, 0, 1, -2, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, 0, -1, -1, 0, -1, -1, 1, 0, 4, -1, -1, -1, 1, 0, 1, 0, 0, 1, -1, 1, 0, 0, -2, 0, 2, 0, -1, 1, 0, 0, -1, 4, 2, -1, -1, 2, 1, 1, 1, 1, 0, -1, 0, 0, -2, 1, 1, 0, 0, 1, 1, 1, -1, 2, 4, -1, 0, 1, 1, 1, -1, -2, 2, 1, -2, 1, 1, -1, -1, -2, 0, 0, 0, -2, -1, -1, -1, 4, 0, -1, 0, -1, -1, -1, 1, -1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 4, -1, -1, 0, 1, 2, 0, 1, 1, 1, -3, 0, 1, 0, -2, 1, -1, 0, 0, 2, 1, -1, -1, 6, 2, 2, 1, 2, -1, 0, 0, 0, -2, -1, -1, 0, -2, 0, 1, 0, 1, 1, 1, 0, -1, 2, 4, 0, 2, 1, 0, 1, 1, 1, -1, 1, 0, 1, -1, 0, 0, 1, 0, 1, 1, -1, 0, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 2, 1, 1, -1, 1, -1, 1, 0, 1, -1, 1, -1, -2, 1, 1, -2, -1, 1, -1, 1, 4, 2, 1, 0, -1, -2, 2, -1, -1, 1, 2, 0, 0, -1, -2, 1, 0, -1, 0, 0, 0, 1, 2, 4, 2, -1, 0, -2, 0, 0, -1, 0, 2, 1, 1, -2, -2, 2, 0, 0, 0, -1, -1, 2, 1, 2, 4, 1, 0, -1, 0, 0, 1, 0, 1, -1, 2, -1, -1, 1, 0, 0, 0, 1, -2, 1, 0, -1, 1, 4, -1, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, -1, 1, -1, 0, 0, -1, 4, 1, -1, 0, 0, -2, -1, 0, -1, 0, 0, -1, -1, -1, 1, 0, 0, -1, -2, -2, -1, 0, 1, 4, 0, 0, 0, -1, -1, -1, -1, 1, 2, -1, -1, 1, 1, 1, 0, 1, 2, 0, 0, 1, -1, 0, 4, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 4, 0, 1, -1, 1, 1, -1, 0, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 4, -1, -1, 0, 1, 1, 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 1, -2, -1, 1, 1, -1, 4, 0, 0, 1, -1, -1, 0, 1, 1, -1, 0, 0, 1, 2, 2, 1, 0, -1, -1, 1, -1, -1, 0, 4, -1, 1, -1, -1, 1, 1, -1, -1, 0, -1, -1, 0, 1, -1, 0, 0, -1, 0, 1, 0, 0, -1, 4, -1, -1, -1, 1, 0, 0, 0, -2, 1, 1, 0, 1, 2, 0, -1, -1, 0, 1, 1, 1, 1, -1, 4, 0, 0, 0, 1, 1, -1, 1, -1, -1, -1, -2, -1, -1, 0, 1, 0, -1, 1, -1, -1, -1, 0, 4, 2, -1, -1, 0, 0, 1, 1, -2, -2, -2, -1, -1, 0, 2, -1, 0, 0, -1, -1, -1, 0, 2, 4, -1, -1, 1, 1, 1, 1, 1, 1, 2, 1, 0, -1, -1, 1, -1, 1, 0, 1, 1, 0, -1, -1, 4, 1, 0, -1, -1, 0, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, 1, 0, 1, -1, -1, 1, 4, 0, -2, 0, -1, -2, -1, 0, 0, -1, -1, 1, -1, 1, 0, 1, -1, 0, 1, 0, 1, 0, 0, 4, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0, 1, -1, -1, -1, 0, -1, 0, 1, -1, -2, 0, 4, 1, 1, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, 0, -2, 1, 1, 1, -1, 0, 0, 1, 4, -1, -1, 0, -1, -2, -1, 0, 0, 1, 1, 0, 0, -1, 1, -1, 1, 1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, -2, -1, 1, -1, 1, 0, 1, -1, 2, -1, 0, -1, 1, -2, -1, 2, -2, -1, -1, 4, 1, -1, 0, -1, -1, 1, 1, -1, -1, 0, 0, 2, -1, -1, 1, 2, -1, -2, 0, -1, 2, 1, 4, 0, -2, 0, -1, -1, 2, -1, -1, -1, 1, 0, 0, 0, 2, -1, -1, 1, -1, 0, -1, -1, 0, 4, 1, 0, 0, 1, 1, 0, 0, -1, -2, 1, 1, 0, -1, 0, 1, 0, 2, 1, -2, 0, -2, 1, 4, 1, -1, 0, -1, 0, -1, 0, -2, 1, -1, 1, -1, 0, 2, 0, 2, 0, -1, -1, 0, 0, 1, 4, 0, -2, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, 1, 1, 0, 1, 1, -1, -1, 0, -1, 0, 4, 1, 1, 1, 3, 1, 1, 0, 1, -2, -2, -1, -1, 1, -1, -1, -1, 1, -1, 1, 0, -2, 1, 6, 2, 2, -1, 1, -1, 1, -1, -2, -1, 3, -2, -3, 1, -2, 1, 1, 2, 1, -1, 0, 1, 2, 6, -1, -1, 1, 1, 1, 1, -2, 1, 1, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, 1, 2, -1, 4, 0, 0, 0, 0, -1, -1, -1, 1, 0, -1, 0, -1, 1, -1, -1, 0, -1, 0, 3, -1, -1, 0, 6, -1, 0, 1, 1, -1, -2, -1, -1, 1, -1, 0, -1, 0, -1, -1, 0, 1, 1, 1, 1, 0, -1, 4, 0, -1, 1, 0, -1, 1, 0, -1, 0, -1, 2, 0, 1, -2, -2, 0, 1, -1, 1, 0, 0, 0, 4, -1, 0, -1, 1, -1, -1, 1, -2, 0, -1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, -1, -1, 4, 0, -1, -1, 2, 0, -2, 1, -1, 0, -1, 0, 1, -1, 1, 1, -1, 1, -1, 1, 1, 0, 0, 4, 0, -1, -1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, -2, -2, -2, -1, -1, 0, -1, -1, 0, 4, 1, -1, 1, 1, 1, 2, 1, 1, 2, -1, -1, -1, -2, -1, 1, -1, -2, -1, 1, -1, -1, 1, 4, 0, 0, 0, -1, 1, -2, 2, -1, 0, 0, -1, -1, 3, 1, 1, -1, 1, -1, 2, -1, -1, 0, 6, 0, -4, 1, -1, -1, -1, -1, 1, 2, 1, -1, -2, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 4, 0, 1, 1, 2, -2, 1, 0, 0, 1, 1, -3, -1, -1, 1, -1, 1, -2, 0, 1, 0, -4, 0, 6, 0, 1, -2, 0, -1, 2, 2, 0, -1, 1, -1, 0, -1, 0, -2, 1, 0, 1, -1, 1, 1, 0, 4, 0, -1, -1, 0, 1, 0, 1, -1, -2, -1, -1, 0, -1, 0, -1, 1, 2, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, 1, 2, -1, 0, 1, 1, 0, -1, 1, 1, 1, 0, -1, -1, 1, 1, 0, -2, 4, 0, -1, -1, -1, 0, 2, 1, 1, -1, 1, 1, 0, -1, 0, 1, 0, 0, 0, 1, 1, -2, 0, 4, -1, -1, -1, -2, 1, 1, 0, 0, -1, 1, -1, 0, 0, 1, 0, 2, 0, 0, 1, 1, -1, -1, 4, 0, 0, 1, 0, -1, -1, 0, 1, 0, -1, 1, 0, -1, 1, -2, -1, -1, 0, 1, -1, -1, 0, 4, -1, 1, 0, -2, -1, -1, 1, 0, 1, 0, -1, 0, 0, 0, 1, 1, -2, 1, -1, -1, 0, -1, 4, 0, -2, -1, 0, 2, -1, -1, 0, 1, 1, -1, 1, 0, -1, -2, 1, 2, 0, -2, 1, 1, 0, 4, 1, -1, 0, -1, 0, -1, 0, 1, 0, -1, -1, -2, 1, 0, 0, -1, 2, 1, 0, 0, -2, 1, 4, 1, 1, -2, 0, 0, 0, 0, -1, 1, -1, 0, 1, 1, 1, 0, 1, 1, -1, -2, -1, -1, 1, 4, 2, 0, 0, 0, 0, -1, 0, 2, -1, 1, 0, 2, 1, 1, 1, 0, -1, -1, 0, 0, 1, 2, 4, 1, 0, -1, 0, -1, 1, 2, -1, 1, 1, 2, 2, 1, -1, 0, 0, -1, 2, -1, -2, 0, 1, 4, 0, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 4, 1, 0, -1, -1, 0, 0, -1, 0, 2, -1, -1, 1, 1, 0, 0, -1, -1, 0, 0, -1, 0, 1, 4, -1, 1, 1, 1, 1, 0, -1, 1, 0, 1, 0, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 4, -1, -1, 0, -2, 0, 2, 0, -1, 1, -1, 0, 1, 0, 1, 1, 0, -1, -1, 0, -1, 1, -1, 4, 2, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, -1, 0, 1, 1, -1, 1, -1, 2, 4, 0, 0, 1, 0, 1, 2, 0, 1, 1, -1, 0, -1, -1, 1, 2, 2, 0, 0, 1, 0, -1, 0, 4, 0, 1, 0, 2, 1, -1, 0, 0, 1, 0, 1, -1, -1, -1, -1, 1, 0, 1, -2, 0, 0, 0, 4, 0, -2, -1, 0, -1, 0, 2, -2, 0, 0, -2, 0, 1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 4, 0, 1, 1, 1, 0, 0, -1, 1, -1, 1, 1, 0, 1, -1, 0, -1, 2, 0, 0, 0, -2, 0, 4, 2, 0, 1, 1, 0, -1, 1, -2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, -1, 1, 2, 6, 0, 0, 1, 1, 0, -2, 1, 0, 1, 1, 2, 1, -1, 0, -1, 1, 2, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 1, -2, 1, 2, -1, 2, 1, 1, -2, 1, -2, -2, 0, -1, 0, -1, 0, 1, -2, -1, 4, -1, 0, -1, -1, -1, 0, 0, 0, 1, 2, -1, -1, 2, 1, -1, -1, 2, 1, 1, 2, 0, -1, 4, 0, 1, -1, 2, -1, 0, 0, -1, -1, 0, 2, -2, -2, 2, 2, 0, -2, -2, -2, 1, 0, 0, 4, -2, 1, 1, 1, 1, 2, -1, -1, 2, 1, -1, 0, 1, -1, -1, 0, -1, 0, -2, -1, 1, -2, 6, 0, -1, 0, 0, 0, -2, 1, -2, 3, 1, -1, -1, 2, 0, -1, 1, 1, 1, -1, -1, 1, 0, 4, -1, 1, 0, 0, 0, 0, 0, -1, -1, 1, -1, -1, 0, 1, 1, 1, 2, -1, 2, 1, -1, -1, 6, -1, 1, 2, -1, -2, 2, 1, -2, 0, 0, 0, -2, 0, 0, -2, -1, 0, -1, 1, 0, 1, -1, 4, -1, 1, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, -1, 4, 2, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 4, -2, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 1, -1, -1, -2, 0, -1, -1, -1, -2, 4, -1, 0, -2, 0, 0, -1, 0, 1, 0, 1, -1, -2, 2, -1, -1, 1, 0, -2, 1, 0, 0, -1, 4, -2, -1, 2, 1, 0, -1, 1, 1, 0, 3, 1, -1, 0, 2, -2, 0, 2, -1, 0, 0, 0, -2, 4, 0, -1, 0, 1, -1, -1, 0, -1, -1, -2, -1, 2, 1, 3, -1, 1, 1, -1, 1, -2, -1, 0, 6, 0, -2, 1, 2, -1, -2, -1, 0, -2, 2, -2, -1, 1, -1, -2, 0, 0, 0, 0, 2, -1, 0, 4, 1, -1, -1, 1, 1, 1, 3, 0, 1, -2, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, -2, 1, 4, -2, -2, 0, 2, 1, 2, -1, -1, 2, 1, -1, -1, 0, -1, 0, 0, -1, 0, 1, 1, -1, -2, 6, 0, -1, -1, -4, 0, 0, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 2, -1, -2, 0, 4, 0, -2, 0, -2, -1, 2, 0, -1, 0, 0, -2, 0, -1, -2, 1, 1, -1, -1, 1, 0, -1, 0, 4, 0, 1, 1, 0, 1, -2, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, -2, 1, 2, -1, -2, 0, 4, 2, 2, 1, 1, -2, -1, 1, 1, 0, 1, 0, 0, 1, 0, -1, -1, 1, 1, -4, 0, 1, 2, 6, 0, -2, 2, -2, 0, 1, 1, -2, 0, 0, 0, -1, 3, -1, 0, 3, 2, 0, -2, 1, 2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 0, 2, 0, 0, -2, 1, -1, -2, -2, 0, -1, 0, 1, -1, -1, 1, 0, -2, 4, 2, -1, 1, -1, -2, 1, 0, 1, -1, 1, 2, 2, 1, 0, 1, 0, 0, 0, -1, 1, -2, 2, 4, 0, 2, 1, 0, 0, 1, 1, -1, 0, 2, 2, 1, 1, 1, 0, -1, 0, 0, 1, 1, -1, 0, 4, 0, 2, 1, -2, -1, 1, 0, -1, -2, 1, 1, 1, 1, -1, -2, 1, 1, 0, -1, 1, 2, 0, 4, -1, 0, 0, 2, -1, 1, 0, 1, 1, 2, 2, 2, 0, -2, 0, 0, 2, 0, -1, 1, 2, -1, 4, 1, -2, -1, 2, -1, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, -1, 2, -2, 0, 1, 0, 1, 4, 0, 0, -2, 1, 0, -2, -2, -1, 1, 0, 0, -2, 0, 1, 1, 0, 1, 0, -2, 0, -2, 0, 4, 0, -2, 1, 1, 0, 0, 0, -1, -1, 0, 1, 0, -1, 1, 0, 0, 1, -1, 2, -1, 0, 0, 4, -1, 1, -1, 2, -1, 2, 1, 0, 1, 0, -1, 1, 1, -2, 1, 1, 1, -1, 2, -2, -2, -1, 6, -3, -1, 2, 3, 1, 0, 0, -2, 2, 2, -1, -1, 1, -1, -1, 0, 1, -1, 1, 1, 1, -3, 4, 0, -2, -1, 1, 1, 0, 0, 0, 0, 1, 1, -1, 1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 4, 0, -1, 0, 0, -1, -1, -1, 0, -1, 0, -2, 2, 2, -2, 1, 0, -2, 0, 2, 2, -2, 0, 6, 0, 1, -1, -1, 1, 2, -1, -2, 0, -2, 2, 2, 1, 1, 0, -2, 0, -1, 3, -1, -1, 0, 6, 2, 1, 2, -1, 0, 1, 0, 1, 0, 1, 1, 1, 2, -1, -1, 0, 2, 1, 1, 0, 1, 2, 6, 1, 1, -1, 0, 0, 1, 2, -1, 0, 1, 1, 2, 0, 1, -1, 1, 0, 1, 0, -1, 1, 1, 4, 2, -1, -2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, -1, 0, 0, 0, -1, -1, 2, 1, 2, 4, 0, -2, 0, 1, 2, 1, 0, 0, -1, 0, -1, 0, 0, 1, -2, 0, -1, 1, -1, -1, -1, 0, 4, 0, -2, 1, 0, -1, 0, -1, -2, -2, 0, -2, 1, 0, 2, 0, -1, 2, 0, 0, -2, -2, 0, 6, 0, -1, -1, -1, 0, 0, 1, 0, 1, 0, 0, -1, 2, 0, 0, -1, 1, 0, 1, 0, -2, 0, 4, 0, 0, 1, -1, 0, 1, 0, 0, 1, -1, 1, -1, 1, -1, -2, 0, 1, 1, 1, 1, -1, 0, 4, 0, 0, 1, 1, 0, 2, -1, 1, 1, 1, -1, 1, 0, 0, 1, 2, 2, 2, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, 0, 1, -2, 2, -1, 1, -2, 2, 0, 0, 1, 0, -1, 0, -2, 1, -1, 1, 0, 4, 2, -1, -1, 1, -2, -1, 1, -1, -2, 0, -1, -1, -1, 0, 1, -1, -2, 0, 0, 0, -1, 2, 6, 0, -1, -2, 0, -3, 2, 1, -2, 1, -2, -1, -1, 2, 3, 0, -2, 1, -2, 0, 0, -1, 0, 4, 2, 1, -1, 0, 1, 0, 1, 0, -1, -1, 1, 1, 0, 2, 1, 0, 1, 0, 0, -1, -1, 2, 4, 2, 1, 1, 1, 1, 0, 0, -1, 0, 2, 1, -1, 0, 2, -1, 1, 1, 1, 1, -2, 1, 2, 6, 0, 2, -1, 0, -1, 0, -1, 1, 2, 1, -2, -1, 2, -2, 3, -1, -2, -2, 0, -1, 1, 0, 6, 0, 0, 2, 2, 0, 1, 2, 0, 1, -1, -1, 3, -1, 0, -1, 2, -1, -3, 0, 1, 2, 0, 4, -2, 1, 0, 0, 1, 1, 2, 0, -2, -1, 1, 0, 1, 1, -1, 1, 2, 1, 1, -1, 0, -2, 4, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, 2, 1, 0, 4, 0, 1, -1, 0, 1, 2, -1, 0, 1, 1, -1, 0, -2, -2, -2, 1, 0, -1, 2, 0, 0, 0, 6, -2, 1, 1, -1, -1, -2, 2, 3, -1, 0, -1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, -2, 4, -1, -1, 0, 1, 0, 0, -2, 0, -2, 0, 0, -1, -2, -1, -1, -1, 1, 1, -1, -1, 1, -1, 4, 1, 0, -2, 0, 0, 0, 1, 1, 1, 0, -1, -1, -1, 0, 1, 2, 1, -1, 0, 1, -1, 1, 4, 0, 0, -1, -1, 1, -1, 1, 0, 1, -1, -1, 1, 2, 2, 0, 2, 0, 1, -1, 0, 0, 0, 4, 0, -1, -1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, -1, 1, -2, 0, 0, 4, 1, 0, 0, 0, 0, 0, -1, 1, 3, 0, -1, -2, -1, -2, 1, -1, -2, 0, 0, -1, -1, 1, 4, 0, -2, 1, 0, 1, 0, -1, 0, 2, 0, -1, -1, -1, 0, 0, 2, 0, 0, -1, -1, 0, 0, 4, 0, 1, 0, 0, -2, -2, -2, 1, 2, 2, 3, 1, 0, 1, 3, -2, 0, 1, 2, 0, -2, 0, 6, -2, 2, -1, 1, 0, 1, 0, -1, -2, -1, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 1, -2, 4, 0, 1, -1, 0, -2, 1, 1, 3, 0, 1, 0, -1, 0, -2, 1, 1, 1, 0, 0, 0, 2, 0, 6, -1, 1, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, 0, 1, 0, 1, 0, 1, 0, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 1, 1, 0, 2, 0, -1, 1, -1, 1, 1, -1, -1, 2, 1, 1, 0, 0, -2, 4, -2, 2, 1, -1, -1, 0, -1, -1, 1, 0, 1, 0, 0, -1, 0, -1, -2, 0, 1, 1, 2, -2, 4, -2, 0, 0, 0, 1, 1, 0, -1, 1, -1, 0, 0, 1, -1, 1, 1, 1, -1, 1, -2, 2, -2, 4, 2, 0, -1, -1, -1, -1, 0, -1, 1, 0, 0, 0, 1, -2, -2, -1, 0, 0, -2, 1, 0, 2, 4, -1, -2, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, -2, 0, 0, 1, 1, -1, 0, 0, -1, 4, 0, 0, -1, 1, 0, -1, 0, 1, 1, 1, 1, 1, 0, -1, 1, -1, 1, -1, 0, -1, -2, 0, 4, -2, 2, 1, -2, 1, 1, 1, 1, 0, -1, 0, 1, 1, -1, 0, 0, 0, 1, -1, 1, 0, -2, 4, 0, 1, 2, 1, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 2, -1, 1, -1, -1, -1, 2, 0, 4, 1, -1, 2, 0, 1, 1, -1, -2, 1, 1, 2, 0, 1, 0, -1, 0, -1, 0, 1, 1, 1, 1, 4, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, -1, -1, 1, -1, 0, 1, 0, -2, 2, -1, 1, 4, -1, 0, 0, 0, -1, 1, 1, -1, -1, 1, 0, 1, 0, 1, -1, 0, -1, 1, 1, 2, 0, -1, 4, 0, 0, 1, 0, -2, 0, 0, 2, 0, 1, -1, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 4, 1, -1, -1, -1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 1, 1, 0, 0, 1, 4, 2, 0, -1, 1, -1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, -1, 1, 1, 0, 1, -1, 2, 4, 0, 0, 1, -1, 0, 1, 1, -1, -1, 1, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0, 0, 4, 0, -1, 1, 0, -1, 0, -1, 0, -1, 1, 0, 1, -1, -1, -2, 0, 1, -2, -1, -1, 0, 0, 4, 0, 0, -2, 0, -1, 2, -1, 1, -2, -1, 1, 0, 1, 1, 1, 1, 0, -1, 1, 1, -1, 0, 4, 0, 0, 1, 1, 1, -2, 1, -2, -2, 0, 1, 0, 1, 1, -1, 0, -1, -1, -1, 1, 0, 0, 4, 0, -1, -1, 1, 0, 1, -1, 0, -1, 1, 1, 2, 0, -1, 2, 0, 0, 0, 0, -2, 0, 0, 4, 1, 1, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 1, -1, 1, 4, 0, 0, 1, 1, 0, 1, -1, 0, 0, 1, -1, 0, 1, 0, 1, 1, 0, -1, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, -1, 1, -1, -2, -2, 0, 1, 1, -1, -1, 1, 1, 0, -2, 1, -1, 0, 4, -1, -1, 1, 2, -1, -1, 1, -1, 1, 0, 1, -1, -1, 1, 2, -1, 1, 1, 1, -1, 1, -1, 4, 0, 0, 0, -1, 0, 1, 1, 0, 0, 1, -1, -1, 1, 0, -1, 1, 0, 1, 1, 2, -1, 0, 4, -2, -1, -1, 2, -1, -2, -2, 0, 0, 2, 0, 0, 0, 2, -1, -2, -1, -1, -2, 1, 0, -2, 4, 2, 1, 0, 2, 2, 2, 0, 0, -2, 1, 1, 1, -2, 0, 2, -1, 0, -1, 2, 0, -1, 2, 4, -1, 0, 1, 1, 1, 0, 0, -1, -1, 2, 2, -1, 0, 1, 1, 0, -1, -1, -1, -1, 1, -1, 4, 1, 0, 2, 0, 1, 0, -1, 1, -2, -2, -1, -1, 0, 0, -1, 1, -1, 0, 2, 0, 0, 1, 4, -1, 0, -1, 1, 0, 1, 1, 0, 0, 1, -1, -1, -1, -2, -1, 1, 1, -1, 2, 1, 0, -1, 4, 2, 1, -1, 1, -2, -1, 1, 0, -2, 1, 1, -1, 0, -2, -1, 1, -2, 2, 1, 2, 0, 2, 6, 1, -1, 1, -2, -1, 0, -1, -2, 1, 1, 1, 1, -2, 1, 0, -2, 2, 1, 0, -1, 1, 1, 4, -1, -1, -2, 1, 1, 0, -1, 1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 4, -1, 0, 0, 0, 0, 1, -2, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 4, 0, -1, 0, 0, -1, 2, 1, 1, 0, 1, -1, -1, 2, -2, -1, -1, 1, -2, -2, -2, 0, 0, 4, 0, 0, 0, 2, -1, -1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, -1, -1, 1, 0, -1, 0, 4, -1, -1, 0, 0, 1, -3, 0, -1, 1, 1, 0, 1, 2, -2, 0, 1, 0, 1, 0, 0, 0, -1, 4, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, -2, 0, 0, -1, 0, 0, 0, 0, -1, 2, 4, 0, 0, 0, 1, 0, 1, -1, -1, 2, -2, -1, -1, 1, -2, -2, -1, 1, -1, 2, 0, 0, 0, 4, -1, -1, 0, 0, 0, 1, 1, -1, 0, 0, -1, -1, 1, 1, 1, -2, 2, -1, 0, 0, 0, -1, 4, 1, 0, 1, -2, 1, 0, -2, 2, 1, 0, -1, 1, 1, 2, -1, 1, -1, 1, 1, 0, -1, 1, 4, 0, 1, 1, 1, 1, -1, -1, 1, 0, -1, -1, 1, -1, 1, 1, 0, -3, 0, 1, 0, 0, 0, 6, 0, -1, -1, 1, -1, 0, 0, -1, -2, 0, 1, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 0, 1, 2, 1, 0, 2, -1, 1, -1, -1, 0, -2, 1, 0, 1, 1, 4, 0, -2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, -1, -1, 0, 4, -1, 0, 0, 0, 1, 1, 0, 1, 0, -1, -1, 1, -1, -1, 0, -1, 1, 0, 0, -1, -2, -1, 4, -1, 0, 0, -1, -2, -1, -1, 1, 0, 1, 0, 0, 0, 1, 1, -2, -1, -1, 1, 0, 0, -1, 4, -1, 1, -1, 0, 0, 1, -2, 1, -1, -1, -2, -2, -2, 0, 0, 2, 1, 1, 0, 0, 0, -1, 4, 2, 0, 0, 2, -1, 0, 0, -1, 0, 1, -1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 4, 0, 0, 1, 1, 0, 0, -2, 0, -1, -2, 0, -2, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 4, 0, -1, 1, 1, -2, -1, 2, 1, 1, 1, -1, 0, -1, -1, 1, 2, 1, -2, 0, 0, 0, 0, 4, 1, 1, -1, 1, -1, 0, 0, 0, 0, -1, 2, 0, 0, 2, 2, 0, -1, 0, 2, 1, -1, 1, 6, 0, 0, 2, 1, 0, 0, 0, 1, -1, 1, 0, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 0, 4, -1, 0, 0, 0, -2, 0, -1, -2, 1, 1, 1, 0, 0, 0, 1, -2, 0, 0, 1, -1, 0, -1, 4, 0, 0, 1, 1, 1, 2, 0, 0, -2, -1, 2, 0, -1, 0, 1, 0, 0, -2, 1, 2, 0, 0, 4, 0, -1, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, -1, -1, -2, -1, -1, 1, 0, 0, 0, 4, 0, 0, 2, 0, 1, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, 2, 0, 0, 0, 1, -1, 0, 4, 0, 0, 1, -1, 0, -1, 0, -1, 1, -1, 0, -2, 1, -1, 1, 0, 0, -2, 1, -1, 0, 0, 4, 2, 1, 1, 0, -1, -1, -1, 1, -1, 0, -2, -1, -2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 4, 1, 1, 0, -1, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, -1, 2, 0, 0, 1, 1, 1, 4, 0, 0, -2, -1, -2, 0, -1, 1, 0, -1, -2, -1, -1, -1, -2, 0, 0, 1, -1, 1, 1, 0, 4, -1, 0, -1, 1, 2, 1, -2, 0, 0, 0, 0, 2, 1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 4, 1, 0, 0, 0, 0, -1, 2, 0, 0, -1, 0, 0, 1, -2, 0, 0, -1, -1, -1, -2, 0, 1, 4, 1, 1, -1, 0, -1, 1, 0, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1, 0, -1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, -1, 2, -1, 1, -1, -1, 1, 1, 2, 1, -2, 2, -1, -1, 0, 1, 0, 1, 2, 4, 1, -1, -1, 1, 1, 2, -1, 1, 1, 1, 0, 1, 0, 1, 0, -1, -1, 1, -1, 2, 2, 1, 4, -1, -2, 2, -1, -1, 0, -2, 2, 1, 1, 1, -1, 0, -2, -2, -1, 2, -1, 1, 1, -1, -1, 4, 0, 0, 0, 1, -1, -1, 0, -1, 1, -1, -1, 1, 1, 0, 1, 0, 1, 0, -1, -1, -2, 0, 4, -2, 1, -1, 0, 0, -2, 0, -1, 0, 1, -1, 1, 2, 0, -2, 0, 0, 2, 1, 2, 0, -2, 4, -2, 1, -1, 0, 2, 0, 1, 0, -1, 0, -2, -2, -1, 2, 0, 1, -1, 1, -1, 0, 1, -2, 4, 1, -1, 0, -1, 0, -2, 0, 2, 0, 1, 1, -1, -1, 0, 1, 1, 2, -1, 1, -1, 1, 1, 6, 0, 1, 0, 1, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, -1, -1, 0, -1, 0, -1, -1, 0, 6, -2, -1, -1, 0, -1, 0, -1, -1, 1, 1, -1, 0, 0, -1, 1, -2, -1, 0, 0, 0, 1, -2, 6, -1, 0, 0, 0, 0, 0, 2, 1, 1, -1, 0, -1, 1, 1, 2, 0, -2, 2, -1, 0, -1, -1, 4, 0, 1, 1, 0, 0, -1, -2, -1, 2, -1, 1, 1, 1, 1, -1, 0, 0, 0, 1, -1, 0, 0, 4, 0, 2, -1, 1, -1, -1, -1, 0, -1, 0, 2, 0, 1, 1, -1, 1, -2, 0, 0, 0, 1, 0, 4, 0, -1, 1, 0, -1, 2, 1, 0, 0, 1, 1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 2, 0, 4, -1, 1, -1, 0, -1, 0, -1, 0, -2, 0, -1, -1, 1, -1, 2, 0, 0, 0, 0, -1, -1, -1, 4, -2, 0, 0, 0, 0, -1, 1, 2, 1, 0, 1, -1, 0, 0, 1, -1, 0, 0, 1, 1, 1, -2, 4, 1, 0, 0, 0, 1, 0, -1, 0, -2, 1, 1, -2, 1, -1, -1, 2, -1, -1, 0, -1, 0, 1, 4, 1, 1, -1, 1, 0, -1, -1, -2, 0, 2, -2, 1, 0, 1, 1, -2, -1, -1, 0, 0, 0, 1, 4, 1, -2, 1, -1, 0, -1, -1, 1, 0, -1, -1, 0, 1, 1, -1, -1, 2, -1, 0, 0, 1, 1, 4, -1, 0, -1, 1, 1, 2, 0, -2, 2, -1, 0, -1, -1, 2, 0, 1, 0, 0, 0, -1, -2, -1, 4, 0, 1, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1, -1, 1, 1, 1, 0, 0, 4, -1, 1, 2, 1, 0, 0, 1, 1, 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 2, 1, -2, -1, -1, 1, 1, -1, 0, -1, 0, -1, 0, -1, -1, 1, 0, 1, -1, 4, 0, -2, -2, -2, 2, 2, 1, 1, -2, 2, -1, 2, 1, 2, 1, 2, 1, -2, 0, 0, 2, 0, 4, -1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, -1, -1, -1, -1, -1, 1, -1, 2, 1, -2, -1, 4, 0, 0, -2, -1, -1, 0, 0, -2, 1, -2, -1, -1, 0, 0, -1, 0, 1, 0, 2, -2, 1, 0, 4, 1, -2, -1, -1, 0, 2, 0, 0, 0, 0, -2, 0, -2, -1, 2, 0, 1, 1, -2, 0, 0, 1, 4, -1, -1, 0, -1, 1, -1, -1, -1, 1, 0, 0, -1, -1, 1, 0, 0, -2, 2, 0, -2, -2, -1, 6, 3, 1, 1, -1, 2, 1, 2, -1, 2, -2, 1, 2, -1, -2, -1, -1, 2, 1, -1, -1, -1, 3, 6, 1, 1, 0, 1, 1, 1, -1, 2, 0, 0, 0, 0, -2, 2, -1, 1, 1, -1, -1, 0, 1, 1, 4, -1, -1, 1, 0, 1, 0, 0, 1, 1, 0, -1, -1, 1, 1, 1, 1, 0, 0, -1, 1, 1, -1, 4, -1, 0, 1, 0, -1, 0, 0, 1, 1, -1, 0, 0, 1, -2, 1, 0, 2, 1, -1, 0, -1, -1, 4, -1, 1, 0, 0, -1, -1, -2, -1, 2, -1, 1, -1, 2, 0, -2, 0, -1, 2, 1, 1, 0, -1, 4, -1, 2, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, 1, 1, 0, 1, 1, -1, 4, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 2, 0, -2, 0, -1, 2, 1, 1, 0, 0, 2, -1, 4, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, -1, -1, 0, 1, -1, -1, 0, -1, 0, 0, -1, 0, 4, 0, 1, 0, 1, 0, 0, 0, -1, 2, -1, -1, -2, 0, 2, 2, 0, 0, -1, 1, -1, 1, 0, 4, 1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, -2, 0, 1, 0, -1, 0, -1, 0, 1, 1, 4, 1, 0, -1, 1, 1, -1, 2, -1, 0, -2, -1, 1, 0, 1, 1, -2, 0, -1, 1, 0, 1, 1, 4, 1, -2, 1, -1, -1, 1, -1, -1, -1, -1, 2, 0, 0, 1, -1, 0, 1, 0, 1, 0, 0, 1, 4, -1, -1, -1, 1, -2, 1, 0, 2, 1, -1, 0, -1, -1, 2, -1, 1, -1, 0, -1, -1, -2, -1, 4, 0, 1, 0, 0, -1, 1, 0, 0, -2, -2, -1, 0, -1, 0, -1, 0, 0, 0, 1, 1, -1, 0, 4, -1, 1, 0, 2, 0, 1, 0, -1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -2, 0, -1, 1, -1, -1, 1, 2, 1, 1, -1, 0, 0, 2, 2, 2, -2, -1, -1, -1, 4, -2, 2, -1, -1, -1, 1, 1, 1, -2, 0, 1, 1, 0, 0, -1, -2, -1, 2, -1, 2, 2, -2, 4, -2, 0, -1, 0, -1, -1, 0, 1, 1, -1, -2, 1, -1, 1, 2, 0, -2, 1, 0, -2, 2, -2, 4, 0, 1, -1, 2, 0, 0, -2, -1, 0, 2, 0, 1, -2, -1, -1, 1, 0, 1, 0, -1, 0, 0, 4, -1, 0, 0, -2, -2, 2, -1, 0, 0, -1, 0, -1, -1, 1, 1, 0, -2, -1, -1, -1, 1, -1, 6, 1, 2, -1, 0, -1, 1, 0, 1, 1, 0, -1, -1, -1, 1, 0, -2, 1, -1, 0, -1, 0, 1, 4, 1, -1, 1, 2, 1, -1, -1, 1, -1, 2, 0, 0, 0, 1, -1, -1, 1, -1, 2, 0, 2, 1, 4, 0, 0, -1, 1, 0, 1, 0, -1, -1, -2, -2, 2, 0, -1, -1, 1, -1, 0, -2, -1, -1, 0, 4, 0, -2, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 2, 1, 1, 0, 0, -2, 0, 1, 0, 0, 4, -1, 0, 1, -1, 1, -1, 2, 0, 0, 0, -1, 2, 2, -2, 1, -2, 2, -1, 2, -1, -2, -1, 6, 1, 0, -2, 1, -1, 1, 2, 2, -2, 0, -2, 1, 0, 1, -1, -1, 1, 1, 1, 0, 0, 1, 4, -1, 0, 1, -1, 0, 1, -1, -1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 4, 0, -1, 0, 0, -1, 1, 1, -2, 0, -1, 1, -2, 2, 0, 1, -1, 1, 1, -1, -2, 0, 0, 4, -1, 2, -2, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, 1, 0, -1, 1, 1, 1, -1, -1, 4, -1, 0, 0, -1, -1, 1, 1, 0, 0, -1, 1, 0, 0, -1, -1, 0, -1, -1, -1, 0, 2, -1, 4, 0, 1, 1, -1, 0, 0, 2, -1, 1, -2, -1, -1, 2, -1, 0, 2, 1, 0, 0, -2, 0, 0, 4, 1, 1, -1, 0, 1, 2, -2, 2, -1, -1, -1, 0, -2, 0, 0, 2, 1, -1, 0, 0, 1, 1, 6, 2, -4, 1, 0, 2, -1, 0, -1, 1, -1, 0, -2, -1, 0, 2, -1, 1, 0, -1, 1, 1, 2, 4, -2, -1, -1, -2, 2, -2, 1, 1, 1, 0, 2, 0, 0, -2, -1, 1, 0, -1, -1, -1, -4, -2, 6, 0, 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, -2, 0, 1, 0, 0, 1, -1, 0, 4, 0, -1, 2, 0, 1, -2, -2, -1, -1, 2, 2, -2, -1, 0, -1, 1, 0, 1, 0, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 1, 1, 1, 2, 0, 0, 1, -2, 1, 2, -1, -1, 2, -1, -1, 1, 1, 1, 2, 4, 0, -2, -1, -1, 2, 1, 1, -1, 0, 0, -1, 2, 1, 0, 1, 0, -1, 0, 1, -1, 1, 0, 4, 0, 0, -1, 0, 0, 0, 1, 2, -1, 1, 0, -1, 0, -1, -2, 1, 2, -1, -1, -1, -2, 0, 4, 2, -1, -2, -1, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, 2, 1, -1, 0, 2, 6, -1, -2, -1, 1, -2, 2, -1, 0, 0, 0, 0, 1, -2, 1, 2, 1, 4, 1, -1, -1, -1, -1, 6, 1, 2, -1, 2, 0, 0, 2, 1, -2, -2, 0, 0, 0, 0, 1, 1, 1, 2, 0, -2, -2, 1, 4, 2, 1, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 2, 1, 0, -1, -1, 2, 2, 4, -1, 0, 0, 0, 1, 2, -1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, -1, 1, -1, 4, -1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, -1, 1, -1, -2, 2, 0, 0, -1, 4, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, -1, -1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 4, -1, 1, 1, 0, 0, 0, -2, 1, 2, 0, 1, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 4, -1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 1, -1, 1, 0, 0, 2, -1, 1, -1, 1, 1, -1, 4, 0, -1, -1, 0, -1, 1, 1, 0, 1, 2, 2, 0, -1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 4, -1, 0, 1, 0, -1, 0, 1, 1, -1, 1, -1, 0, 0, -2, 1, -1, 1, -1, 0, 0, -1, -1, 4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4, 1, 0, 0, 0, 0, 0, 2, 1, -1, 0, 1, 0, 1, 2, -1, -1, 0, -1, 0, 1, 0, 1, 4, 0, -1, 0, 1, 2, -1, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, 4, -1, -2, 0, -1, -1, -1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, -1, 1, 0, -1, -1, 4, 1, -1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, -1, 1, 0, 0, 0, 0, -2, 1, 4, 1, 1, 1, 1, -1, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, -1, 1, 4, 0, 1, -1, -1, 2, 4, 1, -1, 1, 0, -1, 1, 0, 1, 1, 0, 0, 2, -1, 1, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, -2, 0, 1, 1, -1, 1, 1, 4, -2, -2, -1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, -1, -2, 4, 1, 2, -2, 0, -1, -2, 0, -2, 0, 0, -1, 0, 1, 0, -1, -1, 0, -1, -1, -1, -2, 1, 6, 0, -3, 2, -1, -3, 2, -1, -2, 1, -3, -1, -2, -2, 1, 2, 0, 1, 2, -2, -1, 2, 0, 6, 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 3, -2, 0, 1, 0, -2, 1, 1, -2, -3, 0, 6, -2, 2, 2, 0, 1, 2, -1, 2, 0, -1, 0, -2, 1, 1, -1, 0, 1, 0, 0, 2, -1, -2, 4, 1, 0, 0, 0, -2, 0, 0, 1, -1, -2, 0, 1, -1, 0, 1, 2, 1, -1, -1, 0, 2, 1, 4, 2, 1, 1, 1, 0, 2, 0, -1, 0, -1, 2, 0, -1, 1, 1, 1, -2, -3, 1, 2, 0, 2, 6, -2, 1, 2, 1, 3, 2, 1, 3, -2, 0, -1, -1, -1, 1, 0, 0, 2, 0, 0, 0, 1, -2, 4, 0, -1, 0, 0, -2, -1, -2, 1, 2, 2, 0, 1, 1, 2, -2, -1, 0, 1, 0, 1, 1, 0, 4, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, -2, 1, 2, -2, 1, 2, -1, 0, 4, 1, 1, 1, 1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, 1, 0, 0, 1, 4, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, -1, -3, 0, 2, 0, 2, 3, 0, 1, 1, 0, 4, 1, 1, 0, -1, 0, 0, -1, -1, 1, 0, 0, -1, 0, 0, 1, 0, 2, -2, 1, 1, 1, 1, 4, 1, 0, -1, -1, 0, 0, 0, 0, 1, 1, -2, 1, -1, -1, -1, 1, -1, 0, 1, 1, 1, 1, 4, 2, 0, -2, 1, 0, -1, -2, 0, 0, -2, 3, 0, -2, 0, 3, -2, 0, 2, 1, 0, 0, 2, 6, -1, -1, -1, 0, -1, 0, 1, -1, 1, -2, -2, 0, -1, -2, 1, 1, -1, 0, -1, -1, 0, -1, 4, 0, 1, 2, 1, 1, 0, -1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, -1, -2, -1, 0, 4, 0, 0, 2, 1, 2, 0, 0, 1, 1, -1, 0, -1, 2, 2, 0, 1, 0, 0, 1, -1, 1, 0, 6, 1, 0, -1, 1, -1, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, 0, 2, 0, 1, 4, 0, 1, 0, -1, 2, -2, 0, 1, 1, -1, 1, 0, 0, 1, -1, 0, -1, -1, 1, 2, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, 1, 2, -2, -1, 1, 0, 0, -1, -2, -1, -1, -1, 1, -2, 0, -1, 0, -2, 6, 2, -2, 1, -2, -3, 2, 0, -2, 0, -2, 0, 0, -2, 2, 2, -2, 2, -2, 2, -1, 0, 2, 4, -1, 0, 0, -1, -1, 0, 0, 0, -2, 1, -1, -2, 2, 0, 0, 0, -2, 0, 1, 1, -2, -1, 4, -1, 2, 0, -1, 1, 0, 1, 0, 0, -1, 1, -1, 0, 2, 0, 0, -2, 1, -2, 1, 0, -1, 4, -2, 0, 2, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 1, 1, -2, 0, 2, -2, 4, 0, -1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 1, 2, -3, -1, 0, 0, 0, 4, -1, -1, 1, -1, 1, -1, -1, 0, -1, -1, 1, -2, 1, -1, 1, -2, 2, -1, -1, 2, -1, -1, 4, 0, -1, 0, 0, -1, 1, 1, 0, 1, -1, 1, 0, 1, -1, -1, 0, 0, 1, 1, 1, -1, 0, 4, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, -2, 0, 0, 0, 0, 1, -1, 0, 4, -1, 0, -1, 0, 0, -2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, -1, 4, -1, 2, -1, -1, 1, -1, 1, -1, -1, 0, 0, 0, -2, -2, 0, 0, 0, 1, 0, 0, 0, -1, 4, -1, 1, 2, -1, 1, 0, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, -1, -1, 1, -1, 2, -1, 4, 1, 0, 2, -1, 1, 0, -1, 0, 0, -2, 0, -1, -1, 0, 0, -1, 1, 1, 0, -1, 1, 1, 4, 3, 0, 0, -1, 2, 1, 1, -1, -1, -2, -2, 1, -1, 2, 0, 1, 1, 0, -1, 2, 0, 3, 6, 0, 0, 0, 2, 2, 0, 0, -1, 2, 2, -1, 0, 0, -1, 0, 0, -2, 1, -1, 2, 0, 0, 4, 0, 0, 1, -1, 1, 1, -1, 2, 0, 0, 0, 0, -1, 1, 0, -2, -1, 1, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 1, -2, 0, 2, -1, 2, 1, -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 4, -1, 0, -2, 1, -2, 2, 0, 0, 0, 0, -2, 1, 1, -1, -1, 0, 0, 2, 2, 1, 1, -1, 4, 0, 1, 0, 0, -2, -2, 0, 0, 0, 1, 0, 0, 0, -1, 2, -1, 1, 2, -1, 0, 0, 0, 4, 1, 0, -1, 2, 0, -2, 1, -2, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, 1, 1, 4, -1, 0, -1, 1, 1, 1, 1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, -1, 2, 1, -2, -2, -1, 2, 0, -2, -2, 1, -1, 1, -1, -2, 0, 1, 0, 0, 4, 1, -2, -1, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, 2, 2, 0, 1, -2, 0, 1, -1, 1, 6, 2, 1, 1, 2, 1, 3, 0, -3, -1, 1, -2, -2, -2, 0, 1, 0, -1, -1, -2, 0, -2, 2, 6, 1, 1, 2, 2, 1, 3, 2, 2, -2, 2, -1, -2, -3, 1, -2, 2, -1, -1, -1, -1, 1, 1, 4, -1, 1, 1, 0, 2, -2, 0, -1, 2, -1, -2, -2, 2, 1, 0, -2, 0, 2, 0, 1, 1, -1, 4, 2, -2, 0, 0, 0, 0, -1, -2, 1, -1, 0, -1, -2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 4, -1, 0, 0, 0, 0, -2, -1, -1, -2, 0, 1, -1, 0, -1, 0, -2, 0, 1, 2, 1, -2, -1, 4, 1, 1, 0, 1, 1, 2, -1, 0, -1, 1, 1, 1, -1, 0, -2, 0, 3, 1, 0, 0, 0, 1, 4, 1, -2, 0, 2, 0, 0, -1, -1, 1, 0, 0, -1, -1, -1, -2, 0, 3, 2, 0, 0, 1, 1, 6, -1, 1, -2, 4, 1, 0, -4, 0, 0, 1, -1, 0, 2, -2, -3, 2, -2, 0, 0, 0, -2, -1, 8, 3, -3, 0, 0, -1, 1, -1, -2, 3, 1, -1, 0, -2, -1, 2, 0, 0, 0, 1, 0, 1, 3, 4, -2, 1, 1, -1, 0, 0, -1, 2, 0, 0, -2, 2, 1, -2, -1, -1, -2, 1, 2, -2, -3, -2, 6, 0, 0, 2, 0, 1, 1, -2, 0, 0, -2, -2, -2, 2, 2, -2, -1, 2, 0, 4, 0, 1, 0, 6, 1, 1, -4, 1, 1, 1, -1, 1, 1, -2, -2, -1, -1, 1, -1, -1, 0, 1, 0, 1, 0, 1, 6, 1, -1, -2, 0, 1, 2, 1, -1, 2, -2, -2, -2, -1, -2, 0, -1, 0, -1, -1, 2, 1, 1, 6, 0, -2, 2, -1, 2, 2, 1, 2, 0, -3, -2, 0, 0, -1, -1, -4, 1, 0, 0, -4, -1, 0, 6, -1, 0, -1, 1, 0, -1, 0, 1, 1, 2, -1, 1, 1, 1, 0, -1, 0, 1, 1, -2, -2, -1, 4, 0, 0, -2, 0, -2, 1, 0, -2, 1, -2, -1, 1, 0, 0, -2, -1, 1, 1, 0, 2, 0, 0, 4, -1, 0, 1, 0, -2, -1, 2, 0, 0, 0, 1, 0, 1, 3, 2, -2, 1, 1, -1, -1, 0, -1, 4, 1, 0, 1, 0, -1, -1, -2, 1, -1, -1, -1, -1, 1, 0, 0, -1, 2, 2, 1, -2, 0, 1, 4, 0, 0, 1, -2, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 2, -2, -1, -1, 1, -1, 1, 0, 1, -1, -1, -1, 0, 2, -1, -2, 1, 1, -2, 0, 4, -1, -1, 1, 2, -1, 1, 1, 2, 0, -1, 2, -1, 2, 2, 0, -2, 1, 2, -1, 1, -1, -1, 4, 0, 0, 0, 2, -1, -1, -2, 1, -1, 1, -1, 1, -2, -2, 0, -1, 0, -1, 1, 2, -1, 0, 4, -2, -1, -1, 0, -2, -1, 0, 0, -1, 0, -1, 0, 1, 1, -2, -1, 0, 0, -2, 1, 0, -2, 4, 2, 1, -1, 0, 0, 0, -1, 1, 1, 1, 1, -2, -1, 2, 1, 0, 2, -1, 2, 0, -1, 2, 4, -1, 1, 0, 0, 0, -2, 2, -1, 2, 2, -1, -2, 1, 2, 0, 1, -1, -1, 2, -1, 1, -1, 4, -2, 0, -1, 1, 0, 0, 0, 0, -1, -2, 1, 1, -1, 0, 0, 1, 1, -1, 0, -1, 1, -2, 4, 1, 2, 0, 0, 1, -1, 1, 1, 2, -2, -1, 2, 0, -2, -1, 1, -1, -2, 0, 0, 0, 1, 4, 2, -1, 1, 1, -1, 1, 1, 1, 0, 1, 0, -1, 0, 1, 2, -2, -1, 0, 0, -1, 2, 2, 6, -2, 2, 1, -1, 1, 1, 2, 0, 0, 0, -1, -2, 0, 0, 1, 0, 0, 0, 1, 0, -1, -2, 4, -2, 1, 1, 0, 0, -1, -2, 0, 2, 0, 0, 1, -1, -1, 0, -1, -2, 0, 0, 1, 2, -2, 4, -1, 0, -1, -1, 1, 1, -1, -1, 1, -2, -1, 2, 1, -1, 1, 2, 0, 1, 1, 1, 1, -1, 4, -1, 2, 1, -1, -2, 0, 2, -1, 1, -1, -1, -1, 0, 1, -1, 0, -1, -1, -1, 1, 0, -1, 4, -1, 0, -1, 1, 1, -1, 1, 0, -1, 2, 1, -1, 1, 2, 0, 1, 1, 1, 0, -1, 2, -1, 4, 1, -1, -2, 0, 1, -1, 1, 0, 2, -2, 0, 1, 2, -1, 1, 1, 1, 0, -1, 1, 0, 1, 4, 1, -1, 1, 1, 0, 1, 2, 0, -2, 1, -2, -1, -2, 2, 1, 2, -1, 1, -1, -1, -1, 1, 4, 0, -1, 0, 0, -1, -1, -2, 0, 1, -1, -2, 1, -2, 0, 0, -2, 1, -2, 1, -2, -1, 0, 6, 1, -4, 0, 0, -2, 1, -1, -2, 2, 1, 1, -1, 1, 0, 0, -1, 0, 1, 0, 1, -1, 1, 4, -1, 0, 1, 1, 2, 0, -1, 1, 2, -1, 2, 0, 0, 2, -1, 2, -1, 1, 1, 0, -4, -1, 6, 1, 0, 1, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1, -1, 0, 0, 0, 0, 1, 4, -2, -2, 1, 1, 0, 2, 1, 0, -2, 0, -2, 0, -2, 1, 0, 1, 1, -1, 0, 1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, 0, -1, 1, 0, 1, -2, 0, 2, 0, -2, -1, 0, 2, -1, -2, 0, 1, 2, 4, 0, 0, 1, 1, -2, -1, 1, 0, 0, -1, 1, -1, -1, 0, -1, 0, -2, 0, -1, 0, 2, 0, 4, 0, -1, -1, 0, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1, 2, 1, -2, 1, 1, 1, 0, 0, 4, -1, 1, 1, 2, -1, 0, 0, 2, 1, 2, -1, -1, -1, 0, 0, 0, 0, 2, 0, 1, -1, -1, 4, 0, 0, 0, 1, 1, 1, 0, 1, 0, -1, -1, 2, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, 4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -1, -2, 0, 1, 0, 0, 4, 2, -2, 0, 0, 1, -1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, -1, 0, 2, 0, 0, 2, 4, -1, 0, 0, 2, 1, 2, -1, 0, 0, 0, 1, 0, 0, 2, 0, 1, -1, -1, 1, 0, -2, -1, 4, 1, 1, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 1, 4, -1, 0, 1, 0, -1, 0, 1, 1, 0, -1, -1, 0, -2, 0, -2, 0, 1, 0, 0, 0, 1, -1, 4, 0, 0, 1, 1, 0, 0, -2, 0, 2, -1, 0, 0, -1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 4, 0, 2, -1, 0, 0, -1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 0, 4, 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 4, -1, 0, 0, 0, 0, 0, 1, 2, -2, -1, 0, -1, -1, 0, 1, -1, 0, -1, 1, -1, -1, -1, 4, 0, -1, -1, 2, 1, -1, 0, -1, 0, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 0, 4, 0, 0, 0, 1, 0, 2, 0, 2, 0, -1, 0, 0, 0, -1, 1, -2, -1, 0, 0, -1, 0, 0, 4, 0, -2, 1, 0, -1, -2, 1, 0, 0, -1, 2, 1, -1, 0, 0, 0, 0, 0, 2, -1, 0, 0, 4, 0, 0, 1, -2, 0, -2, 0, 1, 0, 0, 0, 1, -1, 2, 0, 0, 0, 1, 0, 0, -2, 0, 4, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, -1, -1, -1, 1, 0, 1, -1, 0, 1, 1, 0, 0, 4, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 1, -2, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 1, 1, -1, -1, -1, 0, 0, 4, 1, -1, 1, 2, 2, -2, 2, 2, -2, -2, 2, 2, -1, 2, -1, 2, -1, -2, 1, 1, 0, 1, 4, -2, 0, 0, 1, -1, 1, 2, -2, -2, 1, 1, 0, -1, 1, 2, -2, -2, -1, -1, 1, -1, -2, 4, 0, 0, -1, 0, -2, -1, 2, 1, 0, 0, -1, 0, 0, -1, 1, 1, 0, -1, -2, 1, 0, 0, 4, 2, 1, -1, 2, 1, 1, -1, 1, 1, 1, 1, -2, 1, 0, -1, 1, 0, -1, 2, 0, 0, 2, 4, 2, -2, 1, 2, -1, -2, 2, 2, -1, 2, -1, 2, 0, -2, 2, 0, 1, 2, 1, -1, 1, 2, 4, -2, 2, 2, -2, -3, 1, 1, 0, 1, 0, 3, -1, -3, 1, 1, -1, -2, -1, 0, -1, -2, -2, 4, -1, -1, 2, 3, -1, -1, 0, -2, 1, -3, 2, 3, -1, 1, -1, 2, 1, -2, 2, 1, 2, -1, 6, 3, -2, -3, 0, 0, 0, 1, -2, 3, 0, -3, 1, 2, -1, 2, 2, -1, 1, 2, 2, -1, 3, 6, -3, -3, 2, 2, -1, 0, 1, 3, 0, -3, 0, 1, -1, -2, -2, 2, 1, -1, -2, 2, -2, -3, 6, 2, -1, -1, 0, -1, 0, -2, 2, 2, 0, -1, -1, -2, -2, 1, -1, -2, -3, 3, -3, -3, 2, 6, -1, 0, 1, -1, 0, -4, 1, 4, -1, 0, -1, 2, 1, 0, 1, 2, 1, -1, 0, 2, -1, -1, 4, 2, -1, 1, 0, 0, -1, -1, 1, 0, -1, 2, 1, 0, 1, 2, 1, -1, 0, 2, -1, 0, 2, 4, -1, 1, 0, 1, -1, -1, 1, 0, -1, -1, 0, -1, 1, -1, 0, 0, 0, -1, 0, 1, -1, -1, 4, -1, -1, -1, 0, 1, -1, 0, 0, 2, -1, 0, 1, 2, 1, -2, 1, 0, -1, -1, 1, 1, -1, 4, -1, 1, -1, -1, 2, 1, 1, -1, 1, 0, -2, -1, 0, 1, -2, 1, 0, 0, 0, 0, -1, -1, 4, 0, 0, 0, -1, 0, 1, 2, 2, -1, 1, 2, 3, -3, 3, 3, -2, -4, 0, 1, -1, 1, 0, 6, -1, -4, 1, 0, -1, -1, -2, 1, 0, 0, -1, 2, 0, 0, 2, 1, -1, -1, 0, -1, 0, -1, 4, 1, 0, 1, -1, -2, -2, 1, -1, -2, -3, 3, -3, -3, 2, 4, -1, -1, 1, -1, 0, -4, 1, 6, 0, 0, -1, 1, -1, 0, 1, 2, 1, -1, 1, 0, 0, -1, 1, 1, -1, 2, -1, 1, 0, 0, 4, 0, 0, 1, -1, -1, 0, 0, 1, 1, 2, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, -2, -2, 1, 1, 1, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, -1, -1, 2, 4, 2, 1, -2, -1, -1, -1, 0, 0, 0, 1, 1, 1, -1, 0, -2, 0, -1, 0, -1, -2, 2, 2, 4, 2, -2, -1, -1, 1, 1, -1, 0, -1, 0, -1, 0, -1, -2, 0, 0, 0, 0, -2, 2, 1, 2, 4, -1, -2, -1, 2, 0, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -2, -2, -2, -1, 4, 2, -1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, -2, -1, -1, -2, 2, 4, 0, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 0, 6, 2, 0, 1, 1, 1, -1, 1, 1, 1, 1, -1, 0, 1, -1, 2, 1, -1, 1, 2, 0, 0, 2, 6, 1, 0, 1, 0, 1, 0, -1, 2, -1, -1, 2, 1, 2, 1, 1, 0, 1, 0, -1, 0, 0, 1, 4, 0, -2, -1, 1, -1, -1, 0, 1, 2, 1, -2, 0, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, 4, 1, 0, 1, 1, 0, 1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 1, -2, 1, 4, 0, 0, 1, 1, 0, -1, -2, 0, 2, 0, 1, 0, 1, -1, -1, 1, 1, 1, 0, -1, 0, 0, 4, 0, 2, -1, 1, -1, -1, -1, 0, 0, 1, 1, 1, 0, 1, 0, -1, -1, 1, 1, 1, 0, 0, 4, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, 1, 1, 1, 0, -1, 1, 1, 2, 0, 4, -1, 1, -1, 0, -1, 0, 0, 1, -1, -1, 0, -1, 0, 1, 1, -1, -1, 0, 1, -1, -1, -1, 4, -2, 0, -1, 1, 1, -1, 1, 1, 0, -1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, -2, 4, 1, 0, 0, 0, 1, 1, -1, -2, -2, -1, 0, 0, 1, -1, 1, 1, -1, -1, 0, -1, 0, 1, 4, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, -1, -1, 2, 1, -2, -1, 0, 0, -1, 0, 1, 4, 0, -2, 0, -1, 0, -1, 0, 1, 1, 1, 0, 2, 1, -1, 0, -1, 1, -1, 1, 0, 0, 0, 4, 0, 1, 1, 0, 0, 0, 1, 0, -1, 1, 1, -2, -1, 2, 0, 0, 0, 1, 0, -1, -2, 0, 4, 1, 1, -1, -1, 0, 1, 1, 1, -1, 2, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 4, 0, -1, -2, -2, -1, 2, 1, 2, 1, -1, 0, 1, 1, 0, 1, 1, 1, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 0, 2, 1, -2, -1, 0, -1, 0, -1, -1, 0, 1, -1, 0, -1, -2, -2, 1, -2, 4, -1, 1, 0, -1, -1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, -1, 1, 0, 2, 0, 0, -1, 6, -3, -2, 2, 0, 0, 0, -2, 2, -2, 1, 2, -2, -3, -2, 1, 1, -1, 2, -2, 1, 1, -3, 6, -1, 1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 4, 1, -1, 1, 1, -1, 1, 0, 0, -2, -1, 6, -1, 2, 1, 2, 2, 0, -1, -1, -2, 0, -1, 2, 2, -1, -2, 0, 1, 2, -1, 2, 1, -1, 6, 1, -1, 1, -1, 1, -1, -1, 1, -2, -1, -2, 1, 2, -2, 1, 1, 1, -1, 0, -1, 2, 1, 4, -1, 1, -1, 1, -1, -1, 0, 1, -1, 1, 1, 0, -1, 1, 0, -2, 2, 0, 0, 1, -1, -1, 4, 2, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, 0, 0, 2, 1, 1, 2, 4, 0, 2, -2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, -2, 1, 2, -1, -1, 0, 0, 4, 0, 1, 0, -1, 0, 1, 1, -1, -1, -1, -1, 0, -1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 4, -2, 1, 2, 0, 0, 0, 1, 2, 0, 2, -2, 0, 1, -2, 1, -1, -1, -1, -1, -2, 1, -2, 4, 0, -1, 1, 1, 0, -2, -1, 1, -1, 1, -1, 2, 1, 0, -1, -1, -1, 0, 0, 0, 1, 0, 4, 2, 0, 0, 0, -1, 0, 1, 1, -1, -1, 1, 2, 0, -2, 1, 0, 0, 0, -1, 2, -1, 2, 4, 0, -1, 0, 0, 1, 1, 1, -2, 0, 1, -2, 0, 0, -2, 1, 0, 0, 0, 0, 1, 0, 0, 4, 1, 0, -1, 0, 1, -1, 0, 1, 1, -3, 4, -1, -1, -1, 0, 0, 1, 0, 1, 0, -1, 1, 6, 1, -1, 0, 1, -1, 1, -1, 0, -2, 1, 2, -2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, -1, 1, 0, 0, 0, -1, 1, -1, 2, 1, 1, 1, 2, -1, 1, -2, -1, 0, -1, -1, 0, 4, 1, 0, 1, 0, -1, 1, 1, 1, -1, 2, 0, 1, 2, -1, 2, -1, 0, 1, 0, 0, -1, 1, 4, 0, 2, 0, -2, 0, -1, 1, -2, -2, -1, 0, 0, -1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 6, 0, -1, -2, 2, 2, -1, 0, 1, 1, 1, 2, -1, 2, -1, 1, 1, -1, -1, 0, 1, 2, 0, 6, -1, 1, 0, -2, 1, 1, 1, 0, 0, 0, 0, -2, 1, -1, -2, 0, 1, 0, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, -1, 1, 0, -1, 0, 2, 2, 0, 1, 0, -1, -1, 2, -2, 0, -2, 2, 1, 0, 4, -2, -2, 2, 2, 0, 2, -1, 1, 1, -1, 1, 0, -1, 1, 1, 1, 1, -1, -1, -1, 1, -2, 4, 2, -2, -1, 1, -2, 0, 0, -1, 0, -1, 0, 1, 0, 1, -2, -1, 1, 1, 0, 1, -2, 2, 4, -2, -2, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, -1, 0, 2, 1, -1, 2, -2, -2, 4, 0, 1, 1, -1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 2, -1, -2, 0, 6, -2, 2, 1, 1, 0, -2, 0, -1, 0, -2, 2, -1, 2, 0, -1, -2, 0, 0, 1, 0, 1, -2, 4, -2, -2, 0, -1, 0, 1, 1, -1, 2, -1, -1, -2, 1, 0, 0, -1, 2, -2, -1, 1, 2, -2, 4, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 2, 0, -1, 0, 0, -1, 0, 0, -1, 1, -2, 1, 4, -1, 1, 0, 0, 0, 0, -2, 1, 1, 2, -1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, -1, 4, 0, -1, 1, -1, 0, 0, 1, 0, 0, -2, 0, 0, 2, 1, -1, 0, -1, 0, -1, 0, 1, 0, 6, 0, 1, 2, -2, 0, 1, 2, 1, -4, 1, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 4, 0, 0, -1, 0, -1, -1, -1, 0, 1, 2, 1, 1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 4, 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, 2, 0, 0, 4, -2, 1, -1, 1, -1, -1, 1, 0, -1, -1, 1, 1, 0, 0, -1, 0, 0, 0, -2, -1, -1, -2, 4, -1, 0, -1, 1, 2, -1, 0, -1, 1, 0, 0, 1, -2, 2, -1, -2, 0, 0, 0, 0, 1, -1, 4, 0, 1, -2, 0, 0, 0, 2, 1, 1, 0, 0, 2, -1, 0, 1, 1, 1, -1, 0, -1, 0, 0, 4, -1, 1, -1, 1, 0, -2, 1, -2, -1, 0, -1, -1, 1, 1, 0, 2, -1, 0, 1, -1, 1, -1, 6, 1, -2, -1, -1, 0, 1, -1, -1, 0, 2, -2, 2, 2, 0, 1, -1, 1, -1, 1, -2, 1, 1, 4, -1, -1, 0, -2, -1, 1, 0, 1, 0, 1, 0, -1, -2, -4, 0, -1, -1, 2, 0, -1, -2, -1, 6, 0, 0, 2, -1, 1, 2, -1, -1, 0, -1, 0, 0, 1, 1, 0, 1, -1, 0, 1, -1, -1, 0, 4, 1, 1, -1, 0, 1, 0, -2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, -1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 0, 2, -1, -1, -2, 1, -1, 1, 2, 0, 0, 1, 0, -1, -1, 0, 2, 2, 0, -1, 4, 2, -1, 0, 2, -1, 1, 0, 2, 1, 0, 0, 0, 0, 0, -1, 0, 1, -2, -1, 0, -2, 2, 6, -2, -2, 1, 0, 2, -1, 1, -1, -2, 2, 2, 1, -2, 1, 2, -1, -2, -2, -2, 0, -1, -2, 4, 0, -1, 1, 0, 0, -1, -1, 0, -1, -1, 0, 1, -1, 0, -1, 1, -1, 0, 2, 0, -2, 0, 4, 1, -1, -2, 2, 0, 0, 2, 0, -1, 1, 0, -2, -1, 0, 2, 2, 0, -1, 2, 1, -1, 1, 6, -2, 2, -1, 0, 0, -1, 2, 1, -2, -1, 0, -1, -1, -1, -2, 1, -1, -1, 0, 1, -1, -2, 6, -2, 1, 2, -1, -1, -2, -2, 1, 0, 1, 2, 0, -1, 1, 1, -2, 1, 2, 0, -2, 2, -2, 6, -1, -1, -1, -2, 2, 2, -1, 1, 2, 1, 0, 0, -4, 0, 1, 0, -1, 0, 2, -1, 1, -1, 4, 0, 0, 1, 0, -2, 2, 0, -1, 1, 0, 1, 1, 0, -1, 2, 1, -1, 0, 0, 2, -1, 0, 4, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, 1, 1, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 4, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, -2, 0, 2, -1, -1, -2, 1, 0, 0, 4, -1, 0, 1, 0, -2, -1, 1, 0, 2, 0, 0, 0, 2, -1, 0, 2, -2, 2, 0, -1, -1, -1, 4, 2, 0, -1, 1, 0, -2, 0, -1, -1, 0, 0, 2, -1, -1, 1, -2, 2, -2, -1, -1, 0, 2, 4, 0, -1, 1, 0, 0, -1, -1, -1, 1, 0, 1, 0, 1, -2, 1, -1, 2, 0, 0, 1, 0, 0, 4, 0, -1, 2, 0, 0, 1, -2, 0, 0, -2, 1, 0, -1, 0, 1, 0, 0, 1, 0, -1, -1, 0, 4, 1, 0, 1, 1, 0, 1, -1, -1, 1, -1, -2, 0, 1, 2, -1, 0, 0, -2, 1, 1, -1, 1, 4, 1, 0, 0, -1, 1, -1, 0, 2, 0, -1, -1, 2, 1, 1, 0, 0, -1, 0, 0, 2, 0, 1, 4, 0, 0, -1, -1, 0, 1, -1, -1, 0, -1, 0, 0, 0, 1, 1, 1, -2, 0, 0, 1, 0, 0, 4, -1, 1, 1, 2, -2, -2, 1, 2, -1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, -1, 6, 1, 0, 2, -1, -2, -1, 2, -2, 1, -4, 1, 1, 0, 2, -1, -1, 1, 0, -1, -1, 1, 1, 6, 0, 0, 0, -2, 0, 0, 1, 1, 0, 0, 1, 0, 0, -1, -1, -2, 1, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, -1, 2, -1, 0, -2, -1, 0, -2, 1, 2, -2, 2, -1, 0, -1, 0, 2, -2, -1, 4, 0, 1, 2, -2, -1, -1, 2, -1, 1, -1, -1, -2, 2, 0, -1, -1, 1, 1, 1, 1, 2, 0, 4, -1, -1, 1, -2, 1, -1, -2, -1, -2, -1, 0, -2, 0, 0, 1, 0, -1, 2, -1, -1, 1, -1, 4, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, -1, 2, -1, 0, 4, -2, 0, -1, 0, 0, 1, 0, -1, -1, 3, -1, -1, -1, 0, 1, 1, 2, 2, -2, 1, 0, -2, 4, 1, 0, -2, 0, 0, 0, 2, 2, -2, 1, 0, 0, 0, 0, 1, -2, -1, -1, -2, 1, 0, 1, 4, -1, 0, 2, 1, 2, 2, 1, 1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 1, 1, -1, 0, -1, 4, 1, -1, -2, 0, 0, 0, -1, 0, 2, 2, 1, -2, 0, -1, -2, 2, -1, 2, 0, -2, 0, 1, 6, -1, -1, 1, 0, -1, 2, -1, 2, 1, 0, -1, -1, 1, -1, -1, -2, 0, 0, 0, 2, -1, -1, 4, 0, 1, 1, 0, 1, -1, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, 1, 0, 1, -2, -1, 0, 4, 1, 1, 0, 0, 1, -1, -2, 0, 2, 0, 0, -2, -1, -2, 1, 0, 0, 2, 0, 1, 1, 1, 4, 1, 0, 1, -1, 1, 0, 0, 0, -1, 1, 1, -1, -1, 1, -1, 2, 2, 0, 0, 1, 1, 1, 4, 2, 0, 1, 1, -1, 0, 1, 1, -2, 2, -2, 0, 0, -1, 2, 1, 0, -1, 0, 0, 0, 2, 4, -1, 1, 0, -1, -1, 0, 1, -1, -2, 2, -2, 0, 3, -2, 1, -1, 2, 1, 0, 1, 0, -1, 6, -2, -1, 0, 0, 0, 1, 2, 2, 0, 0, 0, -1, 1, -1, 0, -1, -1, 1, -1, 1, 1, -2, 4, 0, -1, 0, 1, 0, -1, -1, -1, 0, 1, -1, 0, 0, 2, 2, 0, -1, 1, 1, 0, -1, 0, 4, 1, 0, -1, -1, 0, 0, -1, 1, 0, -1, 0, -1, 2, 1, 0, -2, 0, -1, -1, 0, -1, 1, 4, 0, -2, 0, 0, -1, 1, 0, 2, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 1, 0, 0, 1, -1, 0, 1, 0, 1, -2, -1, 0, 2, 0, 1, 0, 0, 1, -1, -2, 0, 4, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, -1, -1, 0, -1, 1, 1, 1, 0, -1, 0, 1, 1, 6, -1, -2, 1, -1, 0, 2, -2, 0, -1, 1, 0, 0, 1, -2, -1, 2, -1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 2, 0, 2, -2, 0, 2, -1, -1, -1, -2, 1, 0, -1, 1, 2, 0, 2, 1, 1, -1, 6, 3, -3, 2, -1, 1, -2, 0, -2, -2, 2, -2, -3, -1, -2, 1, 1, 0, 0, 0, -2, -1, 3, 6, -3, 1, 1, 1, -1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, -1, 1, -1, 0, 2, -3, -3, 6, -2, 1, -2, 2, 1, 1, 1, 0, -2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, -2, 4, -1, 1, -2, 0, 0, 0, 1, 0, -2, -1, 0, 0, 0, -1, 0, -1, 1, 2, -1, 1, 1, -1, 4, -2, 0, 2, 1, 1, -1, -1, 2, 1, 0, 1, 2, -1, 2, 0, 1, -2, 1, 1, -2, 1, -2, 4, -1, -2, -1, -1, 0, 2, -2, 0, 1, 0, -2, 1, -2, -1, -1, 0, -2, -1, 2, -2, 0, -1, 4, -1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, -2, -1, 4, 0, 1, 0, -1, 1, 1, -1, 0, 2, 0, 2, 1, 1, -1, -2, 1, 1, 0, 1, -1, 2, 0, 6, 4, 0, 1, 2, 2, 2, -1, 1, -1, 0, -1, 1, -1, -2, 1, 1, 0, 1, -1, 0, 1, 4, 6, -1, 1, 2, 2, 2, 0, 1, -1, 0, -1, 1, -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, -1, 4, 0, -2, -1, -1, -1, 0, 0, 0, 1, -1, -2, -2, 1, -2, 0, -1, 2, 1, -1, 1, 1, 0, 6, 2, 1, 1, -1, -2, 0, -1, -1, 1, 1, -3, 0, 0, -2, 2, -2, 2, 1, 2, 2, -2, 2, 6, 2, 1, 0, 1, -1, 1, -1, 1, 0, -1, 1, 1, -1, 1, 0, 1, 1, 2, 2, -1, 1, 2, 4, 0, 1, 1, 1, 1, -1, 0, -1, -2, 0, 0, 0, 0, 1, 0, -1, 2, 2, -1, 1, 1, 0, 4, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, 1, 0, 4, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, -2, 0, 2, 1, 1, 0, -2, 1, 1, -1, 1, 4, 0, 2, 1, 0, 0, 0, -1, 2, -1, -1, 1, 1, 0, -1, -1, 0, 0, -1, 1, -1, 1, 0, 4, -1, 1, -1, 2, 0, 1, 1, 0, 2, -2, 0, 2, 0, 0, 0, -1, 1, 1, -1, 1, 2, -1, 4, 1, 1, 1, 0, -1, 2, -1, 0, -1, 0, 1, -1, -1, 1, -1, -1, -1, -1, 0, 1, 1, 1, 4, -1, 1, -2, 0, 0, 1, 1, -1, 0, 1, 1, 1, -1, 1, 1, 0, 1, 0, 0, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 0, -1, 1, -1, 1, -2, 1, 0, -1, 1, -1, 0, 1, -1, 0, 2, 1, 0, 2, 4, 2, -1, -1, -1, 1, 0, 0, -2, 0, 0, -1, 0, -1, -1, 0, -1, 1, 2, 1, 1, 1, 2, 4, 1, -2, 1, 2, 0, 0, -1, 0, 0, 1, 0, -2, -2, 0, 1, -1, 1, -1, -1, -1, -1, 1, 4, -2, 0, -1, 1, 1, 2, -1, 0, 2, 0, 0, -2, 1, 2, -2, -2, -2, 0, 0, -1, -2, -2, 4, 0, -1, -1, -1, -1, 1, 1, -1, 0, 1, 2, -1, -1, 2, 0, 1, 0, -1, -1, 1, 0, 0, 4, 1, 1, 0, 0, 1, 1, 1, -1, 0, -1, 0, 1, 0, 1, -1, -1, 1, 1, 2, -1, -1, 1, 4, -1, -1, -2, 1, 0, -1, 1, -2, 0, 0, -1, -1, 1, 1, -1, -1, 0, 0, 1, -1, 1, -1, 4, 0, 2, -1, -1, 1, -2, 0, -2, 0, 1, 0, -1, -1, 1, 1, 0, 0, 1, -1, 0, -1, 0, 4, 1, 0, 1, 1, 1, 1, 0, 0, 1, -1, 1, -1, -1, -2, -2, -1, 2, -1, 0, -2, 2, 1, 6, -2, 0, 2, -2, 0, 0, 1, 2, -1, -1, -2, 0, 1, 0, 0, -1, 1, 1, 1, -1, 0, -2, 4, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, 4, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 2, -1, 1, -1, 1, 1, 2, 0, -1, 4, 0, 0, -1, 0, 2, -1, 0, -2, 0, 1, 0, 0, 0, 0, -1, 1, -2, 1, -2, 2, 0, 0, 4, 1, 1, 0, 0, -1, 0, 0, 0, -1, -1, -2, 0, 1, 0, -2, 0, 1, 0, 1, 1, 0, 1, 4, 0, 0, 0, 1, -1, 0, 0, 0, -1, -2, -2, 2, -1, 0, -2, 0, 0, 1, 0, -1, 1, 0, 4, -1, -1, 1, 1, 1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 4, 1, -1, 0, 0, 1, -1, -1, 1, 2, -1, 1, -1, 1, 1, 2, 0, 0, 2, 0, 0, -1, 1, 4, -1, 0, -2, 0, 0, 1, -1, -2, 2, 0, -1, 0, -1, -1, 1, 0, -1, -1, 1, 1, -1, -1, 4, 1, 1, 1, 2, 2, 1, -2, 0, 1, 1, -1, 1, -1, 2, 0, 0, 0, -1, 1, 0, 0, 1, 6, 1, 0, 1, 1, -1, -2, 1, -1, 1, -1, -1, -2, 0, 0, -2, 0, 0, 1, 0, -2, 1, 1, 4, 0, 0, 1, -1, 0, 0, -1, -1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 0, 1, 2, 0, 1, 1, -1, -1, -1, -1, -2, 0, 1, 2, -1, -1, 1, 4, 0, 1, 0, -1, 0, 0, 1, 1, 2, -1, 0, 0, -2, 1, -1, -1, 0, 1, 1, 0, -1, 0, 4, 2, -1, -1, 1, -2, -1, -1, 0, 0, 0, 2, 1, 2, 0, 1, -2, 0, 0, -1, -1, 1, 2, 6, -1, -1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, -1, 0, -2, 0, 0, 1, 0, -1, -1, 4, 1, -2, 1, 0, 1, 0, 0, -2, -2, 0, -2, -2, -1, 1, 2, 0, 1, 1, -1, -1, -1, 1, 4, -1, 1, 1, -1, -1, 2, 0, 0, 1, 0, -2, 1, 1, -1, -2, 0, 0, 0, 1, 2, -2, -1, 4, -1, 1, -1, 0, 0, 2, 1, 1, 0, 2, 1, 0, -1, 0, 0, 1, 0, -2, 1, 1, 1, -1, 4, 1, 1, 0, 0, 0, -1, -1, -2, 0, -1, 2, 0, 0, 1, 2, 1, -1, 0, 0, 1, 1, 1, 4, 0, 1, 1, 1, -1, -1, -1, 0, 0, 2, 1, -1, 1, 0, 1, -1, 1, 1, -1, -1, 1, 0, 4, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 0, 0, 1, 2, 0, 0, 0, -1, 0, 0, 1, 0, 4, -2, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 2, 0, 0, 1, 0, -2, 4, 0, 0, 1, 0, -2, 0, 0, 0, -2, 0, -1, 0, 0, 2, -2, 0, 2, 0, 1, 0, 0, 0, 4, 2, 0, 0, 2, 1, 1, -2, 0, 0, -1, 0, 2, 2, -2, 0, 1, -1, -1, 0, 0, 0, 2, 4, 1, 2, 0, 2, -1, -2, 0, -2, -1, -2, 1, 1, 0, 1, 1, -1, -1, 0, -2, 1, 0, 1, 4, 0, 0, 1, 0, -1, -1, -1, -1, 1, 2, 0, -2, 0, 0, -2, -1, -1, 0, 0, 0, 2, 0, 4, -1, 1, -2, -1, 0, -1, -2, -1, 0, 1, -2, -2, 2, 0, 0, -1, 1, -2, 2, 0, 0, -1, 6, 0, 1, -2, 2, 1, 0, -1, 1, -1, -1, 1, 1, -1, 0, -1, 0, 0, 1, 2, 1, 1, 0, 4, 0, 0, 0, -1, 1, 0, -2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, -1, 0, -2, 1, 0, 4, 0, 0, 1, 2, 1, 0, -2, 2, -1, -1, 0, 1, 1, 0, 0, -2, -2, -1, -1, -2, 0, 0, 6, 1, 0, -1, 1, 0, 0, 0, -2, 0, 0, -1, 0, 1, -2, 0, 0, -1, 0, 2, 0, 0, 1, 4, 0, -1, 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -2, -1, -1, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, -2, 1, 1, 0, 1, 1, -2, 1, -1, 0, -1, 1, 2, 1, 1, -2, -1, 0, -2, 4, 2, 1, 2, 0, -1, -1, 1, -2, 2, -1, 0, -1, 0, -1, -1, 1, -1, 2, -1, 1, -2, 2, 4, 2, 2, -1, 0, -1, -1, -2, 2, 0, 1, 0, 1, -1, -2, 1, -1, 2, -1, 1, -1, 1, 2, 4, 1, 1, 0, 1, 1, -1, 1, 0, 2, 0, -1, -2, -1, 2, -2, 1, -2, 2, -2, 2, 2, 1, 4, 0, 0, -1, 1, -1, 1, 0, 0, 1, 1, -1, -1, 0, -2, 1, 0, 0, 1, 0, -1, 1, 0, 4, -1, 1, 2, -1, 0, 0, 0, -1, -2, 0, 0, 2, -1, 0, -2, 0, 1, -1, 0, 0, 0, -1, 4, 1, 1, 2, -1, 1, -1, 2, 1, -1, 1, 1, 0, -1, -1, 0, 0, -1, -1, 1, -1, 1, 1, 4, 0, 2, 0, 1, 1, 0, -1, 0, 1, 0, -1, 0, 0, 1, 1, 1, -1, 1, 1, 2, 1, 0, 6, -1, -1, 0, -1, 1, -1, -1, 2, 3, -1, -1, -3, 1, 1, -2, -2, -1, -1, -1, 2, 2, -1, 6, -2, 0, 0, 1, 0, 1, 2, -1, 1, -2, 1, 0, -2, 2, 2, 1, 1, 0, -1, 0, -1, -2, 4, -1, 1, 0, 1, 0, -2, 0, -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 4, 0, 0, -1, -1, 1, 1, -1, -1, 0, 1, -1, 0, 1, 2, 0, 0, -1, 1, -1, 0, 1, 0, 4, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 1, -1, 2, 0, 1, 1, 0, 0, -1, 4, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, -1, 1, -2, 1, -1, -1, 0, 1, -1, 0, 1, 4, 1, -1, -2, 1, 1, 2, -2, 1, -1, -1, -2, -1, 0, -1, 0, -1, 1, 0, -1, -1, 0, 1, 4, 0, -1, 1, 0, 1, -1, 2, -1, -2, -1, -1, 0, 1, 1, 2, 2, -2, 1, 0, 0, -1, 0, 4, 0, 1, -2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 3, -1, 0, 1, -1, 0, -2, -1, 0, 6, -1, 0, -4, 2, 1, -1, -1, -2, -2, -1, 0, -1, -1, 1, -1, -1, 0, -1, 1, 1, 1, -1, 4, -1, 1, -1, -2, 2, 2, 1, 1, 0, -1, 0, -1, -2, 2, -1, 1, -1, 1, 0, -2, 0, -1, 4, 1, 0, -1, -1, -1, -2, 0, -2, -1, 0, -3, 1, 0, 0, 1, 0, 2, 1, 0, -4, 1, 1, 6, -2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, -2, -1, 1, 2, -1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 1, -2, 0, 1, -1, 2, -2, 0, -1, -2, 2, 0, -1, -2, -1, -2, 0, 1, -2, 4, 2, 0, 1, 0, -1, -2, -1, -1, 2, 0, 1, 0, -1, 0, 0, 0, -1, 2, -1, -1, -2, 2, 4, 2, 1, 1, 0, -2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 2, 4, -1, 2, 0, -1, 2, -2, 1, 0, -1, 2, -1, 1, 1, 1, 2, 1, 1, -1, 1, 1, 1, -1, 4, -2, -1, -2, -1, -1, 0, 1, 1, -2, 1, -1, 0, -1, -2, 0, -1, -1, -2, 0, 1, 2, -2, 4, 1, 1, 1, 0, 1, -1, -1, 2, -2, 1, 0, 1, 2, 1, 1, 0, 0, -1, 0, 0, -1, 1, 4, 1, -1, 1, 1, 0, -1, 1, -1, -1, 1, -1, 2, 1, 0, -1, 1, -2, -2, -1, -2, 1, 1, 6, 0, 3, -1, 1, 0, -1, 1, -1, -2, 0, 2, -1, 1, 1, -1, -1, 0, 2, -1, 1, -1, 0, 6, -3, 0, -2, 0, 3, 0, 2, -1, 1, -1, 0, -1, 2, 2, -1, -2, -2, -1, 0, 1, 3, -3, 6, -2, 1, -1, -1, 0, -1, 0, 0, 2, -2, 1, 0, -2, 2, 2, 1, 0, 1, 1, -1, 0, -2, 4, 0, 0, 0, -1, 0, 0, 0, 0, 2, -1, -1, 0, 0, 0, 0, 1, -1, 0, 1, -2, 1, 0, 4, 0, -1, 1, -1, 0, 0, 2, 0, 0, -1, -1, 1, 0, -1, 1, -1, -1, 0, 0, -1, 0, 0, 4, -1, 0, -1, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, -2, 2, 1, -1, 3, -1, 0, -1, -1, 6, -2, 2, 1, 1, 1, 1, 0, 1, 2, -1, -2, -1, 1, -2, -1, 1, 0, 0, -1, 1, 0, -2, 4, -1, -1, -1, 0, -1, -1, 1, 0, 0, 0, 1, -1, 1, -1, -1, 2, -1, 0, -1, -1, 2, -1, 4, 0, 0, -1, 0, 0, 2, -1, 0, 0, 1, 0, 0, 1, -2, -1, 0, 0, 0, 0, 1, -1, 0, 4, 1, 1, 0, 1, -1, -2, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 4, 1, 0, 1, 0, -1, -1, 0, 2, -2, 2, 2, 2, -1, 2, 0, 2, -2, 1, 0, -1, 1, 1, 6, 0, 1, -1, -2, 2, 2, 1, 0, 1, 1, -1, 0, -2, 2, 0, 0, 1, -1, 0, 0, 0, 0, 4, 0, -1, 0, -1, 0, 1, -1, 1, 0, 1, -1, 1, -1, 0, 0, 0, -1, 0, 1, 1, 1, 0, 4, -1, 1, -1, -2, -1, -1, 0, -1, 1, 2, 0, -1, -1, 0, 1, 1, 2, -1, 0, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, -1, -2, 1, 2, -1, 0, 1, 2, 0, 0, 0, -1, 1, -1, 0, 1, 0, 2, 2, 4, 1, 0, 0, -2, 1, 2, -2, 1, 0, 2, 1, 1, -1, 1, 0, -1, 1, 1, -1, 2, 0, 1, 4, 0, 1, -1, -1, -1, 1, 0, 1, 1, 0, 1, 0, 1, -1, -1, 1, 1, 0, 1, 0, 0, 0, 4, 2, 0, 1, -1, -2, -1, -1, 0, -2, -1, -2, 1, 1, 1, 1, -1, -2, 1, -1, 0, 1, 2, 4, 1, -1, -1, 0, -1, 0, -1, -1, 1, -2, 2, -1, 0, 1, 0, -1, 1, -2, -2, -1, 0, 1, 4, 0, -1, 2, -1, -1, -2, 0, -1, 0, 1, -1, 0, -1, 0, 0, -1, 1, 1, -1, 1, -1, 0, 4, 0, -1, -1, -1, 1, -1, 0, -1, -1, 1, 1, 1, -1, 0, 1, 2, 2, -1, -1, -1, -1, 0, 4, -1, 1, 1, 1, 1, 0, 0, 0, 1, -1, 0, 1, 0, 1, -1, -2, 1, -2, 0, 2, -1, -1, 6, -1, 1, -1, 1, 1, 2, -1, 0, 0, -2, 0, 1, -1, 0, 1, 0, -1, -1, -1, -1, 1, -1, 4, -1, 0, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, -1, 0, -1, -1, 1, 1, -1, 4, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, -1, -2, 1, 1, -1, 0, 0, 4, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, -1, 0, -1, 1, 1, 2, 0, -1, 4, 0, 1, 0, 0, -1, -1, 1, 0, 0, 0, 1, 1, -1, 1, -1, 0, 0, 1, 0, 1, 1, 0, 4, 0, 0, -1, 1, 1, -1, 1, 0, 0, -1, 0, -2, -2, 0, -1, 0, 2, 1, 0, 0, 1, 0, 4, -1, 0, -1, -2, 0, 1, -1, -1, 1, 1, 1, 2, 1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 4, -1, -1, 0, 1, -1, 1, 1, 0, -1, 1, -1, -1, 1, 1, 0, 1, 0, 0, 0, -1, 0, -1, 4, 1, 0, -1, -1, 1, -1, -1, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, -1, 1, 4, 1, -2, 0, -1, 0, 1, 1, 1, 1, -1, 1, 0, -2, 0, 1, 0, -1, 1, -2, 0, 0, 1, 4, -1, 0, 1, 1, 1, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, -1, -2, -1, 4, 1, 1, 0, -1, 0, -2, -1, 0, 0, 0, 1, -1, 1, 0, 0, 1, 1, -1, -1, 0, 0, 1, 4, -1, 2, 2, 1, 1, 1, -1, 1, 1, -1, 0, 0, 1, 0, 0, -1, 1, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, 2, 2, -2, 2, -1, -2, 1, 1, 0, 1, 0, -1, 1, -1, -1, 1, 1, 2, -1, 4, -2, 2, -2, 1, -1, -1, 0, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 0, 2, -2, 4, -2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 1, -1, 2, -2, 4, -2, 0, 1, -2, 0, -1, -2, 1, -1, 1, 1, -1, -1, 2, -1, -2, -1, 0, 2, -2, 2, -2, 4, 1, -1, 1, 0, -1, 1, -1, 1, -1, -1, 0, 1, -1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 4, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, -2, 0, 0, 2, -2, -1, 0, 1, -1, -1, 6, -3, 0, 3, -1, 0, -1, 0, 1, 0, -3, 1, 1, -1, 0, -1, 2, -1, 1, -2, 1, 0, -3, 6, 1, -2, 3, -1, -1, -1, 1, 1, 1, -3, 0, 3, 2, 2, -1, 0, 0, 0, 0, 0, 0, 1, 4, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 1, -2, -1, 0, -1, -1, -1, 3, -2, -1, 6, -1, -1, 1, -1, -1, 0, -1, 1, 2, -1, 0, -2, 1, -1, 1, -2, 1, 0, -1, 3, 0, -1, 4, -1, 0, 0, 1, 1, 0, -2, 0, 2, 1, 1, 1, 1, 0, 1, -1, 0, 0, -1, -1, -1, -1, 4, -1, 2, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 1, -1, 1, 0, -1, -1, 0, 1, 0, -1, 4, -1, -1, -1, 1, 0, 1, 0, -1, 0, 1, 1, 0, 1, -1, 0, 0, -1, -1, -1, 0, 2, -1, 4, 0, 0, 0, 1, -1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, 0, 4, 0, -1, -1, 1, 1, 0, 1, -1, 1, 0, -1, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 4, 1, -1, 0, 1, 1, 0, 1, 1, 0, -1, 1, 1, -3, 1, 1, -1, 0, 0, 1, 0, -1, 1, 4, 0, 0, 0, 0, 1, -1, 1, -1, 2, -1, 0, 1, -3, 0, 1, -2, 0, 0, 1, -1, -1, 0, 4, 0, -2, -1, -1, -1, -1, 0, -1, 0, -2, 1, 0, 0, 2, 0, -1, 1, -1, 1, 0, 0, 0, 4, 0, 0, -1, 1, -1, 1, -2, 1, 0, -1, 3, 0, -1, 2, -1, 0, -1, 1, 1, 0, -2, 0, 4, 2, 1, 1, -1, 0, -1, 1, 0, 0, 2, -1, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 2, 4, 0, 2, 0, 1, 0, 1, 2, -1, 2, 1, -2, 1, 0, 0, 0, 1, 0, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, -2, 2, 1, 1, 0, -2, 2, 0, -2, 0, -2, -1, 2, 2, -2, -2, 0, 1, -2, 4, 1, 2, 2, -2, -1, 0, 0, 0, -2, -1, 1, -1, 1, 1, -2, 0, 0, 0, 0, -1, 0, 1, 4, 2, 2, -2, -1, 2, 1, -1, -2, 1, -1, 1, 1, 1, 0, 2, -1, -2, 1, 1, -1, 2, 2, 4, 1, -1, -2, 0, 0, 0, -1, 1, -1, 1, 2, 2, -1, 0, 0, 0, 0, 1, -2, 2, 2, 1, 4, -3, 0, 1, 0, 1, -3, 0, 0, 0, 2, 1, -1, 1, 1, -1, 1, 0, 2, -2, -2, -1, -3, 6, -1, -2, 0, 1, 4, 0, -2, 0, 0, -1, 1, -2, 1, 2, -2, 1, 1, -1, -1, -2, 0, -1, 4, 0, -1, 0, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, 0, -1, 1, 0, 2, 0, 1, -2, 0, 6, -1, -3, -3, 2, -2, 2, 1, -2, 2, 4, 0, -4, 0, 2, 0, 0, 1, 0, 0, 0, -1, -1, 4, -1, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, -2, 0, -1, 0, 1, 1, 0, -3, -1, 6, 0, -1, 1, -1, 1, 1, -1, -2, 3, 2, 0, -1, 2, -2, -2, -1, -3, 4, 0, -3, 0, 0, 6, -1, 0, 0, -1, 0, 0, -2, -1, 2, -1, 0, 0, -1, 1, 1, 0, 0, -1, 2, 0, -1, -1, 4, -2, 2, 1, 0, 1, 0, 0, -1, 0, 2, -2, 1, -1, -1, 0, -2, 0, -2, 1, 1, 0, -2, 6, -2, -1, 0, -1, -2, 0, 2, 1, -2, 0, -1, 1, 1, 0, 0, -1, 2, 0, -1, 0, 2, -2, 4, 1, 0, 1, 1, 0, -1, 0, 2, -2, 1, 1, 2, 2, 0, -1, 1, -1, 1, -1, 1, -1, 1, 6, 0, -1, -1, 4, 1, -2, 2, -1, 1, 1, 2, 1, -1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 4, -1, -1, -1, 1, 1, 0, 2, -2, 0, -1, -1, 1, 0, 2, 1, -1, 0, 1, -1, 1, -1, -1, 4, 2, 0, -2, 0, 2, 2, 0, 2, 0, 1, -2, 1, 4, 0, -2, -2, 0, -2, 1, -1, -1, 2, 6, -1, -4, 1, 1, -2, 0, -1, 0, 1, 1, 0, 0, -1, 3, -1, 0, 0, 0, 4, -1, 0, -1, 6, 1, -2, 1, -2, 0, -2, 0, -1, 2, -1, -4, 0, 2, 2, -1, 2, -1, 1, 1, -2, -4, 1, 6, 0, -1, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, -1, 0, 1, 0, -2, 1, 0, 1, -2, 0, 4, -1, 1, -1, 1, 1, 0, 1, -1, 2, 0, -1, 0, 2, -2, 2, 2, 0, 2, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, -1, 1, -1, -1, 0, -1, 2, 0, -1, -1, 4, -1, -2, 1, -2, 1, 1, 1, 1, 0, -1, -1, -1, 0, 0, -1, 1, 2, 0, -1, 1, 0, -1, 4, -1, -1, 0, -2, -2, 1, 1, 1, 2, 2, -1, -1, -1, 1, 1, -1, 1, -1, -2, 1, -2, -1, 4, 1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, -1, -1, -2, 0, 1, 0, 1, 1, -1, 1, 4, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, -2, 0, 2, -1, 4, 0, 1, -1, -1, 0, -1, 1, 1, 0, 1, -1, 0, -2, 0, 0, 0, 0, 1, -2, 0, 0, 0, 4, 2, 0, -1, -1, -1, -1, 1, 1, 1, -2, 1, 1, -1, -1, 2, 0, 1, -2, 0, 0, 1, 2, 4, 0, 0, -1, -2, 0, 1, 1, 1, -1, 1, 1, -1, -1, 2, 0, 1, 1, 0, 0, -1, 0, 0, 4, 1, 1, 0, 0, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 1, 1, 0, 0, -1, -1, 0, 1, 6, 0, 0, 1, -2, 0, 1, 1, 1, 1, 0, -1, 0, 2, 0, 1, 0, 1, 0, -1, -1, 1, 0, 4, 1, 1, 0, 1, -1, -1, 0, -1, 2, 0, -2, 2, -1, 2, -1, 0, -1, -1, -2, 0, 0, 1, 6, 1, -2, -1, -3, 1, 1, -1, 1, 0, -1, 1, -1, 2, 0, 0, 1, -1, 0, 0, 1, 1, 1, 4, -1, 0, -1, 1, 0, 0, 1, 0, -1, -1, -1, -1, 1, 0, 1, 1, 1, 0, -2, 0, -2, -1, 4, 0, 1, -1, 0, -1, -1, 0, 1, 1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 1, -1, 0, 0, 4, 1, -1, -1, 1, 1, 1, -1, -1, 0, -1, 1, -1, 1, 1, 1, -1, 1, -1, -3, -1, 1, 1, 4, -1, 0, 0, -1, 0, 1, -1, -1, 1, -1, -1, -1, -2, -1, -1, 1, -1, 1, 1, -1, -1, -1, 4, -1, 1, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, -1, 0, -1, 4, 0, 0, -2, 1, -1, 2, -1, -2, 0, -2, 1, 1, 0, 1, -1, -1, 0, -1, 1, 0, 1, 0, 4, -1, 0, 1, 2, 0, 1, 0, 1, 0, -1, -1, 1, 0, 2, 1, 1, -1, 1, -1, -1, 0, -1, 4, 1, -2, 0, -1, -1, 1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, -2, 0, 1, 4, -1, -1, 1, -2, 0, 0, 0, 2, 2, -1, 0, -2, -1, -1, 1, -1, 1, 0, 1, 1, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, -1, 1, 2, 1, -1, 1, 1, -2, 0, 2, 0, -1, 1, -1, 2, 1, 1, 1, 1, 4, -1, 1, 1, -1, 2, 1, 0, 2, 1, 1, 1, 2, -1, -1, -1, -1, 1, 1, 1, 2, 2, -1, 4, 0, -2, 2, 0, 0, 0, 1, 1, -1, 0, 1, 0, -1, 2, -1, 1, 1, 0, 0, 2, 1, 0, 4, 1, 1, 1, 0, -1, 0, 0, 0, -1, 2, 1, 0, 1, 0, 1, 0, 1, 1, -1, 1, -2, 1, 4, 0, 1, -1, 1, -1, -1, 0, -1, -1, 1, 1, 0, 1, 0, -1, 0, 1, 1, -1, 2, 1, 0, 4, 0, -1, -1, 1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, 1, 2, 2, 0, 1, 1, 0, 4, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, -1, -1, 0, 4, -1, 1, 2, 1, 2, 2, -2, 0, -1, -2, 0, 2, 2, 1, -1, 0, 0, -1, 1, -1, -1, -1, 6, -2, 1, 1, 1, 0, -1, 2, -1, -1, 0, 1, 1, -1, 1, 2, 1, 0, -1, 1, 0, 1, -2, 6, 0, 0, 1, 1, -1, -3, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, -1, 0, 0, 2, 1, 0, 4, 1, 2, 3, -1, 0, -1, -2, 0, 2, 1, 1, -2, 1, -1, 0, 0, 0, -1, 1, 1, 0, 1, 6, 1, 2, -2, 1, -2, -2, -2, 1, 1, 1, 0, 1, 0, -1, -1, -1, 0, 2, 1, 1, 2, 1, 4, 1, -1, 0, -1, -2, 1, 2, 1, 1, 2, 2, 1, 2, -1, 1, 1, 2, 0, 1, 3, 2, 1, 6, -2, 0, -1, -2, 0, 2, 2, 2, 0, -1, 0, 1, 1, 1, 0, -2, -1, -1, -1, -2, -1, -2, 4, -1, 1, 1, 1, -1, -2, 0, -1, -1, -1, 0, 1, -1, 0, 0, 2, -3, 0, 1, 0, 0, -1, 4, 0, 0, -1, 0, 1, 0, 1, -1, 2, 1, 0, 1, 0, -1, -1, 1, -1, -2, -1, -1, 1, 0, 4, 1, 1, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, -2, -1, 0, -2, -2, -2, -2, 1, 0, 1, 4, 0, -2, -1, -1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, -2, 1, 0, 1, -1, 1, 0, 4, 0, 0, 1, 1, 1, 1, 0, -1, 0, 0, 2, 1, 0, 2, 1, 2, 2, -1, 0, -1, -2, 0, 4, 2, 1, 1, 1, 0, 1, 0, -1, 0, 2, 1, 0, 1, 1, 1, 2, -2, 1, 0, -1, 0, 2, 4, 0, 1, 2, 0, 1, 1, 1, 2, 1, -1, 1, 1, 1, 1, 2, 0, 0, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, -1, -2, -1, 2, 1, 0, 2, 4, -1, -1, 1, 1, 1, 1, 1, 1, 0, -1, 0, 1, 0, 0, 0, -2, -1, 2, 2, 1, 0, -1, 4, 0, 0, -2, 1, -2, 0, 0, 1, 0, 2, -1, 1, 1, -2, 2, 2, -2, 1, 1, 0, -1, 0, 4, -2, 1, 0, 0, 1, -2, 0, 0, 0, 0, 2, -1, 1, 1, 1, -1, -1, 0, 0, 1, 0, -2, 4, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, -1, 1, 2, 0, 0, 1, -2, 1, 0, 4, -1, 2, 0, -1, 0, -1, -2, 0, 1, -2, 1, -2, 0, 2, 1, -1, 1, 1, 1, 0, 1, -1, 4, 0, 2, -1, 1, 1, 2, 1, 2, 2, -2, -1, 1, 1, 1, 0, 0, 1, -2, 0, -1, 2, 0, 4, 1, 0, 0, -1, -2, 1, 0, 0, 1, -2, 0, 2, -1, -1, 1, 1, 0, 1, 0, 0, 2, 1, 4, -1, 1, -1, 1, 1, 2, 2, -1, 0, 0, 0, 1, 1, 0, 1, 0, -2, 0, -1, -1, 0, -1, 4, -1, -1, -1, -1, -2, 1, 1, 0, -1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, -1, 4, 1, 1, -1, 3, 2, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, -1, -1, -1, 1, 4, 0, -1, 0, 1, -1, 1, 0, -1, -2, 0, 2, 0, 2, 0, 0, -2, 2, -2, 1, -1, 1, 0, 6, 1, 1, 2, -2, -1, 0, 0, 2, 0, 0, 1, -1, 0, 1, 0, 1, 1, 1, -1, -1, -1, 1, 4, -1, 0, 1, -1, -1, 1, 1, -1, 2, 0, 1, 2, 0, 1, 2, 0, 2, -2, 3, 0, 1, -1, 6, 1, -2, -1, 1, 1, 1, 0, 2, 0, 1, -1, 0, -2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 6, -1, 0, -1, 0, 0, 1, -1, 0, -2, 1, -1, 1, -2, 1, -1, 1, -2, -1, -2, 1, -2, -1, 4, 0, -1, 0, -1, 0, -2, -2, 2, 1, -1, -2, -1, -2, 0, 0, 0, 1, -1, -1, -1, 0, 0, 6, 1, -4, -1, 2, -1, -1, 2, 1, -1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, -1, -1, 1, 4, -1, 0, 0, 2, 2, -2, -1, 1, 2, 1, 2, 0, 0, 0, -1, 0, 1, 1, 0, 0, -4, -1, 6, 2, -2, 1, 2, 1, -1, 2, 1, 1, -1, 1, 0, 0, -2, 2, 1, 1, 0, -1, -1, 0, 2, 6, 0, 0, 1, 1, 0, 0, -1, 0, -1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 2, 0, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 0, -1, 2, -1, -2, -1, 2, 0, 1, 0, 1, -1, 1, -1, 1, 2, 1, 1, -2, 4, 0, -1, -1, 0, -2, 1, 0, 0, -2, 0, 1, 0, 1, 0, 0, -1, -2, -2, -1, -1, 2, 0, 8, -2, 3, 2, 0, 3, -4, -3, 0, -2, 1, -2, -2, 1, -2, -3, 0, 0, 1, -1, 1, -1, -2, 6, 1, -1, 1, -2, 0, 2, 1, -1, 1, -1, -1, 0, 1, -1, 2, 1, 0, 0, 0, -1, 3, 1, 6, 1, 1, 1, -1, 0, 1, -1, 0, -1, -4, 0, 0, -2, 1, 1, 1, 0, -1, 0, 2, -1, 1, 4, -1, 2, -1, 0, -1, 0, 0, 0, -1, 1, -1, -1, 0, -1, -1, -2, 2, -2, 0, 1, 1, -1, 4, -2, -1, -1, 2, 0, 0, 0, 1, 0, 1, -1, 0, 2, 0, 2, -1, 1, 3, -2, 1, 2, -2, 4, -1, -1, -1, 0, 0, 0, -2, 0, -2, -1, 0, -1, 0, -1, -2, 0, -4, 0, -1, -1, -1, -1, 4, 2, 0, 1, -1, 1, 0, 0, 0, 3, 0, 0, 0, 0, -1, 0, -3, 2, 0, 0, -1, -1, 2, 4, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, -1, 0, 2, -2, 0, 1, 1, -1, 2, -1, 0, 0, 4, 0, 1, 1, 0, -1, 1, -1, 1, 2, 0, 1, 0, 0, -2, -1, -1, 0, 0, 0, 1, 1, 0, 4, 0, 2, 1, -1, 1, 0, -1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 4, 1, 1, 0, 0, -3, -1, -1, 0, 0, 0, 0, -2, -1, -1, 0, 0, 0, 1, 1, 1, 2, 1, 4, 1, -1, 1, 0, -1, 0, 0, 1, 1, 1, -2, -1, -4, -1, 1, -2, 0, 0, 0, 1, 1, 1, 6, -1, 1, 0, -1, 0, -2, 1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, -1, -1, 4, -1, 0, -1, -1, 0, 0, 1, 0, -2, 1, 0, -1, 1, -2, 0, 1, 1, 1, 0, 1, 1, -1, 4, 0, 0, 1, 0, 1, -1, -1, -3, -1, -2, -1, -1, -1, 3, 1, -1, 0, -3, 0, 0, 0, 0, 6, 1, 1, 1, 0, 1, -2, 0, 2, 1, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, -1, 0, 1, 4, 1, 0, 0, 2, -2, 0, 1, 1, -1, 2, -1, 0, 0, 2, 0, -1, 0, 0, -1, 1, 1, 1, 4, 1, 1, 1, -1, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, 0, 1, 0, 1, 4, 0, 1, -1, -1, 0, 0, -2, 2, -1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, -1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, -1, 1, 1, 1, 0, 1, 1, 4, 0, -2, -2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 2, 1, 1, -1, -1, 0, 4, 2, 2, 0, -2, 0, -2, -1, -1, -2, -2, 1, -1, 0, -1, -2, 1, 0, -1, -1, -1, -2, 2, 6, 2, -1, -2, 0, -2, 0, -2, -2, -2, 1, 1, 0, -1, -1, -2, -2, -1, 1, -2, -2, 2, 2, 6, 2, -2, -1, -1, 0, 0, 0, -2, 0, 1, 2, 1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 2, 6, -2, 1, 1, -1, 1, 0, 0, 0, 2, 1, 3, -1, 0, 0, 1, 0, 2, 2, -2, -2, -2, -2, 6, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, -1, 1, 0, 4, 2, 1, 0, 0, 1, 0, 1, 0, -1, 0, 1, 1, 0, 0, 2, 1, -2, -2, -1, 1, 1, 2, 4, 2, 2, 2, 1, -1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, -1, 0, 0, -1, 2, 1, 2, 4, 2, 1, 0, 1, 1, 2, -1, 2, 1, 0, 0, 0, 2, 0, -1, -2, 0, 1, 2, 0, 2, 2, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, -2, -2, 0, 0, 1, 0, 2, 1, 1, 4, 0, -2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, -2, -2, -2, 0, 2, 1, 1, 0, 1, 0, 4, 0, 1, -1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, -1, 1, 1, -2, 0, 4, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 1, -1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, -1, 1, 0, 4, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, 1, 3, 0, -1, 0, -1, 1, 0, 1, 0, 1, 1, 4, 0, -1, 0, 1, 1, 1, -1, -2, -1, 0, -1, 1, 0, 2, 2, 1, 2, 1, -1, 0, 1, 0, 4, 0, 1, 1, 1, 1, 2, 1, -2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 4, 1, 0, -1, 1, 1, 0, -2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 4, 1, 0, 0, 1, -1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 4, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 0, 2, -1, -1, 0, -2, -2, -1, -1, 1, 1, 0, 0, 1, -1, -1, -1, 1, -2, 4, 2, -1, 1, -1, 2, 0, 1, 2, 2, -1, -1, 0, -2, 0, 1, 1, -1, 0, -1, 1, -2, 2, 4, 0, 0, -1, 0, 1, 0, 2, 2, 0, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 0, 4, -1, -1, 0, 1, 1, 0, -2, 0, 0, -1, -1, -1, -1, 0, 1, -1, 0, 0, 0, 1, 0, -1, 4, 0, 1, -1, 0, 0, -1, 1, 1, 2, 1, 1, 1, 1, -1, 1, -2, 2, 2, -1, -1, -1, 0, 6, -3, -2, -1, -1, -2, -1, 1, 3, 2, -1, -1, 1, -1, 1, -2, -1, -1, 2, 0, 0, 1, -3, 6, 2, 0, 0, 2, -1, -2, -1, -1, -1, 3, 1, -1, -1, 1, 2, -1, 0, 1, 1, -1, -2, 2, 4, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 4, 0, 0, -1, 1, -2, -2, 1, -1, 1, 0, -2, -2, -1, -2, 2, 2, 0, 0, -1, 0, 0, 0, 4, 1, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 1, -2, 2, 2, -2, -1, -2, 2, 2, 0, 1, 6, -2, -1, 0, -1, 0, 1, 1, -1, 0, 1, 1, -1, -1, 0, 0, 1, -1, -1, -1, -1, 0, -2, 4, 1, 0, 1, 1, 0, -2, 2, 1, 1, 0, -1, -1, -1, 0, 1, 1, -2, 0, 1, -1, -1, 1, 6, 0, 1, 0, -1, -1, 0, 1, -2, -3, 1, 0, 1, -1, 2, 3, -1, 0, -2, 0, 0, 0, 0, 6, 2, 0, 0, 1, -1, 2, -1, 2, 1, -2, -1, -1, 1, 2, -1, 0, -2, -2, -1, 1, 1, 2, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 4, -1, 0, 1, 0, 0, 0, 0, 1, -1, -1, 1, -1, 3, 0, -1, 0, 1, 0, -1, 0, 0, -1, 4, 0, -1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, -2, -1, 1, 0, 0, 0, 4, -1, 0, -1, 2, -1, -1, 1, 1, -1, -1, -1, 0, 0, 0, -1, 2, 0, -1, 0, 1, -1, -1, 4, 0, 2, -1, -1, 0, 1, -1, 1, 1, -1, 0, -2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 4, 1, 0, -1, -1, 1, 0, -2, -2, 1, 1, -2, 0, 1, 1, -2, -1, 0, 0, 0, -1, 2, 1, 6, -1, 1, 1, 1, 0, 2, -1, 2, 0, -1, 1, 1, 0, -3, 2, 0, 0, 2, 2, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 0, 2, -2, -2, 1, 2, 1, 0, 1, -1, 1, 1, -1, 1, 2, 0, 1, -2, 4, -2, 0, 0, 1, -1, 2, 2, 0, -2, 0, 0, 0, 1, 0, -1, 1, 0, -2, 1, 0, 2, -2, 4, -1, -1, 0, 1, 0, -1, -1, 2, 1, -1, 1, -1, 0, 0, -1, 1, 2, 1, 1, -1, 0, -1, 4, 1, -2, -2, 0, 0, 1, -1, 0, 1, -1, 1, 1, 1, 2, -1, -1, -2, 1, 1, 0, -1, 1, 4, -1, 1, -2, -1, 2, -1, -1, 0, -1, 0, 1, 1, 1, 1, -1, 0, 0, 0, 1, 0, -2, -1, 4, 1, 1, 0, 0, 0, 0, 0, 1, -1, -1, -2, -2, 1, 0, 2, -1, 2, -1, 1, -2, 1, 1, 6, -3, -2, 0, 1, -1, 1, 0, -2, 1, -2, 0, 0, 1, 3, 1, -2, 2, 0, 0, -2, 1, -3, 6, 3, 0, -1, 2, 0, 0, 2, 0, -1, 0, 1, -1, -1, 0, -2, 2, -1, 0, -1, 0, -2, 3, 4, -1, -1, 0, -1, -1, 1, -1, -1, 1, 0, -1, 0, 0, 1, 0, -1, 1, 2, 0, 0, 0, -1, 4, -1, 0, 1, -1, 0, 2, 1, 0, 0, -1, -1, 0, 2, -2, 2, -1, -1, 0, 1, -1, -1, -1, 4, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 1, 1, 0, 1, 0, -1, 0, -1, 2, 0, 0, 0, 4, 1, 1, 0, 0, 1, 0, 1, 0, -2, 0, 0, 0, -1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 4, -1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, -1, 1, 0, 0, -1, -1, 0, 1, -1, 4, -1, 0, 0, -1, 0, 1, 1, 0, -1, 1, -1, 1, 0, -1, -2, 2, 1, 0, 0, 0, 1, -1, 4, 0, 0, 0, 1, 0, -2, 1, 1, 0, 0, 1, 1, -1, 1, 0, -1, 2, 0, 0, 1, 0, 0, 4, 1, 1, -1, 0, 0, 2, 1, -1, 0, 1, 1, -2, -2, -1, -1, 1, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, -2, 0, -1, 1, -1, 2, 1, -2, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 4, -1, -1, 0, 1, 1, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 4, 0, 0, 0, 2, -2, 2, -1, -1, 0, 1, -1, -1, -1, 2, 0, 0, 1, 0, 0, 0, -1, 0, 4, 1, 1, 0, 1, 1, -2, 0, 2, 3, -1, 0, -1, 0, -2, -1, 1, -2, 0, -2, 0, 0, 1, 6, 0, 1, 0, 1, 1, 0, -1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, -1, -2, 2, 1, 0, 0, 1, 2, -2, 4, 1, -1, -1, 1, 1, 0, -1, 1, 1, 1, 0, -1, 1, 1, -2, 0, 0, 1, 0, 0, 0, 1, 4, -1, -2, 2, 2, -2, -2, 2, -1, 0, 0, 1, 0, 0, -1, 1, 1, 2, 0, -1, 1, -1, -1, 4, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, -2, 0, 1, 1, 0, 0, 2, 0, -1, -2, 0, 4, -2, -1, 2, 0, -2, -1, 0, 1, 1, 1, -1, 0, -1, -2, -2, -1, -1, 0, 1, 2, 0, -2, 4, 2, -2, -1, 2, -1, -1, -1, 0, 0, 0, 0, 0, 2, 2, 1, 0, -1, 1, 2, 0, -1, 2, 4, 0, -1, 1, -1, 1, 1, 0, 0, 0, -1, 0, 2, 1, -1, 0, -1, 0, -2, 1, 2, -2, 0, 4, 0, -2, 1, 1, 2, -1, 1, 0, -1, -1, -1, -2, -2, 1, 0, -1, -2, 0, 0, -1, -1, 0, 4, -1, 1, 0, 0, 0, -2, 1, 1, 0, 0, -1, 0, 1, 0, 1, 2, 0, -2, 2, 1, -2, -1, 4, -1, 0, -2, 0, 0, 0, 0, 0, 1, 2, 1, 0, -1, 1, -1, 0, -1, -1, -1, 1, 1, -1, 4, 1, 0, -1, -1, 2, 0, 1, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 1, 1, 0, 0, 1, 4, 0, -1, 1, 0, -2, 1, 1, 0, 0, 1, -1, 0, 0, 0, 1, -1, 1, 2, 0, -2, 0, 0, 4, 0, 0, 0, -1, 0, -1, -1, -2, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, 0, -1, -1, 0, 4, 0, -1, 0, 0, 0, 0, 0, -2, -1, 1, 0, 1, 1, 0, 0, 1, -2, 0, -1, 1, 0, 0, 4, -1, -2, -1, 0, 0, 0, 0, -2, 1, 0, -2, -1, 0, 0, 0, 1, 0, 2, 0, 0, -1, -1, 4, 0, 0, 0, 0, 0, -1, 2, -2, -1, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 0, -2, 0, 4, 0, 0, 0, 1, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 4, 0, 0, 0, 1, 0, 0, 1, 1, -2, 2, 2, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 4, 1, 1, 1, 0, 1, 2, 0, -2, 2, 1, -2, -1, 2, -1, 0, -1, 0, 0, 0, 0, 0, 1, 4, 2, 0, 1, 0, 0, 0, -1, 1, -1, -2, 0, 1, 0, 0, -2, 0, 0, 0, 1, 0, 1, 2, 4, 0, 2, 0, -1, 2, -1, 0, 0, 1, 1, 0, 0, 1, 0, -2, 0, -1, 0, 1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -2, 1, -1, 1, -2, -1, 0, 0, 2, 1, 1, 1, -2, -2, -2, 1, -1, 0, 4, -1, -1, 1, 1, 1, 2, 0, 1, -1, 0, -2, 1, -1, -1, 0, -1, 2, 1, -1, -1, 1, -1, 4, 0, 0, -2, 0, 0, -1, 0, -1, -1, 2, -1, 0, 0, 2, -1, -2, 0, 0, 1, 2, -1, 0, 4, -2, -2, 0, -1, 1, -2, -1, -1, 0, 0, 0, 1, 1, 0, 0, -2, 1, -1, -2, 1, 0, -2, 4, 0, -1, 2, 0, 2, 1, -1, 0, -2, -1, 0, 0, 0, 2, 2, 0, 0, -2, 1, -2, -2, 0, 6, -1, 0, -2, 1, 2, 2, 0, 2, 0, -2, -1, 2, 1, 1, -1, -1, 1, 1, 0, 0, -1, -1, 4, 1, 0, -1, -2, -1, -1, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, 2, 0, -1, 2, 0, 1, 4, 0, 1, -1, -2, 0, -1, -2, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, -2, 0, 0, 4, -1, 0, -1, -1, 1, -1, 2, 0, -1, -1, -1, 1, -1, -2, 1, 0, -2, 2, 1, -1, 1, -1, 4, 0, 0, 0, -2, 0, -1, -1, 0, 1, 2, -1, 1, -1, -1, -1, -1, 1, 2, -2, -1, 0, 0, 4, 2, 1, 1, 1, -1, -1, 1, 0, 0, 0, -1, 0, 0, -1, -1, -1, 2, -1, -2, -1, 0, 2, 4, 0, 2, 2, -2, -1, 0, 0, 0, -1, 0, 0, -2, 2, 0, 0, 0, -1, 0, -1, 0, 1, 0, 4, 0, 1, 0, 1, 0, -1, 0, 1, 1, 2, 1, -1, 0, -2, 2, 0, -1, 1, -2, 1, 2, 0, 6, 1, -1, 0, -1, -1, -1, 0, -2, 1, -1, 0, 0, -1, 0, 0, -2, -1, 0, 1, 2, 1, 1, 4, -1, -1, -1, 0, 0, 1, 1, 1, -1, 0, 1, 0, -2, 1, 0, 2, -1, -1, -2, 0, -1, -1, 4, 1, 0, -1, -1, 1, 0, 1, 0, 2, 1, 0, -1, 0, 0, 0, -1, -1, -1, 1, 0, -1, 1, 4, 0, 0, -1, 0, -1, -2, -1, -1, 0, 0, 2, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, 0, 4, 1, 0, 0, 0, -2, 2, -2, 0, 2, 1, 0, 1, -1, 1, 0, 0, -1, -1, 0, -1, 0, 1, 6, 1, 0, 0, -2, 1, 0, -2, 2, 1, -1, 1, -1, 2, 0, 0, 0, -1, 0, -1, -1, 0, 1, 4, 0, 1, 1, -1, 0, 1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 4, 0, -1, -1, 1, -1, 0, -1, 1, 0, -1, 1, -1, 0, 1, -2, 1, 0, -1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 1, 2, -1, -1, 0, -2, -1, 2, 2, 0, -2, 0, 1, 2, 1, 0, 0, 1, -2, 4, 2, 2, -1, 0, 1, 2, -1, 2, 1, -2, -2, -1, 2, -1, -1, -2, -2, 0, -1, 0, -2, 2, 4, 2, 0, -1, 2, 0, 1, 2, 0, 0, -1, -1, 0, -1, 0, -2, 0, 1, -1, -1, -1, 2, 2, 4, 0, 1, 1, 0, 1, 1, 1, 0, -2, 0, 0, -1, 1, -2, 0, 0, -2, -1, 1, -1, 0, 0, 4, -1, 0, -1, 1, 0, -1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, -1, 1, -1, 6, -2, 1, -1, -1, 2, 2, 2, -1, 0, 1, 1, 0, -1, 1, -3, 2, -1, 1, 2, 1, 0, -2, 4, 0, 2, 1, 0, 0, -2, 1, 0, -2, 0, -1, 0, -1, 1, -2, -1, 2, 0, 0, -1, 1, 0, 4, -2, 0, 2, -2, 0, -1, 3, 0, -2, -1, -2, 0, -1, 1, 0, -1, 1, 1, 1, -1, 2, -2, 4, 1, 0, 2, -1, 1, -2, 0, 2, -1, 2, 0, 0, -1, -2, 2, 2, 1, 0, -1, 1, 0, 1, 4, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -1, 0, -1, 1, 0, 1, -1, 2, 0, 2, 0, 0, 4, 0, 0, 0, 1, 0, 0, -1, -1, 1, -2, 0, 2, -2, 0, 0, 2, 2, 0, -2, 2, 0, 0, 6, 2, 1, -2, 1, 2, 0, 2, 2, 0, 1, 2, -2, -1, -2, 0, 2, -2, 0, -1, -2, 0, 2, 6, -2, -1, 1, -1, 2, 0, 2, 1, 2, 0, -1, -1, 0, 0, -1, 1, -1, 1, 0, 0, 1, -2, 4, 0, -1, 1, 0, 1, -1, 0, -1, -2, 2, 0, 0, 0, 0, 0, 3, -2, 0, 1, -2, -1, 0, 6, 0, -3, -2, -1, 0, 0, 1, 0, -1, -1, -1, 1, 1, -2, 0, 0, 0, 0, 1, 1, -1, 0, 4, 1, 0, 0, 1, 0, 2, 1, -1, 0, 1, 0, 1, 0, -2, 2, 0, 0, 2, -1, 1, -3, 1, 4, 0, 1, 0, -1, 0, 2, -2, -2, -2, 0, 0, -1, -1, -1, -2, -1, 0, 2, 0, -2, 0, 0, 4, 0, 0, 2, 0, 1, -2, 0, 0, 2, -1, 0, -2, 2, 0, -1, 2, 0, 1, -1, 0, 1, 0, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, 0, 1, 2, 2, -1, 0, 1, 0, 0, 0, 4, 0, 1, 0, -1, -1, -2, 1, -3, 1, -1, 0, -1, -2, 0, 1, 0, 0, 0, -1, 2, 0, 0, 6, -1, 1, 0, -1, -1, 0, 2, -2, 1, -1, 0, 0, 1, 2, -1, 1, 2, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, -1, -1, -1, 2, -1, -1, -2, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 0, -1, 4, -2, -1, 2, 1, 0, -1, 2, -1, -1, -1, 0, 0, 1, 0, -2, 1, -1, -1, 1, 1, 2, -2, 6, -1, 0, 0, -1, 1, -1, -1, 1, 0, 1, 1, -2, 2, 2, 0, -2, 0, -3, -2, 0, -1, -1, 4, -1, 1, -1, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, -1, -1, 1, -1, 2, 0, -1, 4, 0, 1, 0, 0, -1, 1, -2, 1, 1, -1, 0, -2, 2, -1, -2, 1, 0, -1, 1, 0, 1, 0, 4, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 1, 0, 4, -1, -1, 1, 2, 1, -1, -1, 0, -1, -2, -1, 1, 1, 1, 1, 2, -1, 1, 0, 0, -1, -1, 4, 0, 0, -2, 0, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, -1, 2, -1, 0, 0, 1, -1, 0, 4, -1, -2, -1, 0, 0, 2, 1, 0, 1, 0, -1, -1, 1, -1, -1, -1, 0, -1, -1, 1, 0, -1, 4, 2, 1, -1, -1, 1, -1, 1, -1, 1, 1, 2, 1, -2, -1, 1, -1, 1, -1, 2, -2, -2, 2, 6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, -2, 0, 1, 0, -1, 1, 0, 4, -1, 0, 0, -1, 0, -2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, 0, -1, 0, -1, 4, 2, -1, 1, 0, 0, -1, -1, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 2, 4, -1, 1, 0, 1, -1, -1, 0, 0, -1, 1, -2, 1, -1, 0, 0, -1, 2, 1, 0, 0, -1, -1, 4, 0, 0, 0, 2, 0, -1, 2, 1, 0, 2, 1, 0, 0, -1, 0, 1, -1, 0, -1, 1, 1, 0, 4, 2, 1, -1, -1, -2, 1, 1, -2, 2, 1, -2, -1, -2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, -1, 0, -1, 1, 0, 1, 2, 0, -1, 0, 1, -1, 0, -2, 0, 1, 0, 1, 0, 4, 0, -2, 0, 0, -1, -1, -2, 1, -1, -1, 1, -1, 0, 1, 1, 0, -1, -1, 2, -1, 0, 0, 4, 0, 0, 1, 1, -1, 0, -1, -2, 0, 1, 0, -1, 1, 0, 2, -1, -1, 0, -1, 0, -2, 0, 4, 1, 0, -1, 1, -3, -1, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, 6, 0, 0, 1, -2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, 1, 0, -1, 2, 1, -1, 1, 2, -1, -2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 4, 1, -1, -1, 1, -1, 2, 1, 1, 1, 2, -2, -1, -1, -1, 2, 1, 1, 2, -1, 0, 1, 1, 4, -1, 0, 2, -2, 1, 2, 1, -1, 1, 0, -1, 0, 1, -1, -1, 0, -1, 0, 0, -1, -1, -1, 4, -1, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, 1, 0, 1, 1, -1, 0, 1, -1, 0, -1, 4, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, -1, -2, 1, 0, 0, 1, 2, 0, 0, 4, -2, 1, 0, 2, 0, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, -1, -1, -1, -2, 0, 0, -2, 4, -2, -2, 0, 1, -1, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0, 2, 2, 1, 0, 0, 1, -2, 4, 1, 0, 1, 2, 0, -2, 0, -1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, -2, 1, 4, 0, -1, 2, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0, -1, 1, 1, -1, 1, 2, 0, 0, 0, 4, 1, 0, 1, 2, 1, -1, -1, 1, -1, -1, 0, -2, 1, 1, -1, 0, 1, 0, 1, 1, -1, 1, 4, 1, 0, 1, 1, -2, 2, 2, 1, 1, -1, 0, 2, 2, 1, 0, 0, 0, -1, 2, 2, 0, 1, 4, 0, -2, 0, -1, 2, 1, 2, 2, 0, 0, -1, -2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 4, 1, 1, 0, -2, 1, -1, -1, 1, -2, -2, -1, -1, 1, 1, 1, 1, -2, -1, 2, 1, -2, 1, 6, 1, 1, 0, 0, 0, -2, -2, -1, 0, -1, 0, -1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 4, -1, 0, 0, -1, -2, 0, 0, 0, -1, 1, 0, 0, 0, -1, -1, 1, -1, -2, -1, 0, 1, -1, 4, 0, -2, 0, -1, 0, 1, 2, 2, -1, 1, 1, -1, -1, 2, 1, -1, 2, 2, -2, 0, 0, 0, 6, 0, 2, 2, -1, 2, 0, 1, -1, 0, 0, 1, 1, 1, -1, 1, 2, 1, 1, 0, 0, -2, 0, 4, 0, 2, 0, -1, 1, 1, 0, 1, -1, -1, 0, 0, 1, -1, 1, 2, -1, 0, -1, 0, 2, 0, 4, 1, -1, 1, 1, 2, -1, 1, -2, 0, -1, 2, 1, -1, 1, 2, -1, -2, -2, -1, 2, 2, 1, 6, 0, 0, 0, -1, 0, -1, 1, -1, 0, 0, 0, 0, -1, 0, 1, -2, 0, 0, -1, 0, -1, 0, 4, -1, 2, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 0, -2, -1, 0, 1, 2, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, 1, 1, -2, -2, 1, -2, 1, 2, -1, 0, 0, -2, 0, -2, -1, -1, -2, 4, 1, -1, 2, 1, 0, 0, 2, 0, 1, 2, -1, 0, 0, -1, 1, 0, 0, 2, 2, 2, 0, 1, 4, 1, 1, 2, 2, 1, 1, 1, -1, 0, -2, 0, -2, -1, 2, -1, 1, 1, 2, 0, 1, -1, 1, 4, -1, 1, 1, -1, -1, 1, -1, -1, 0, 0, -1, -1, -1, 0, 1, -1, 0, -1, -2, 2, 1, -1, 4, 2, -1, 0, 2, 1, 1, 2, -1, 0, 0, -1, 2, 0, 1, 2, 1, 2, -1, 1, 2, 1, 2, 4, 1, 0, 1, 2, -1, 1, -2, 0, 0, -2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, -1, 1, 4, 0, 0, 1, 0, 0, -1, 1, -1, 0, 0, -1, 1, 0, 2, 0, 1, 0, 1, -1, 0, 0, 0, 4, -1, -2, -1, 0, -1, 1, 0, 0, 1, 0, 0, -1, -1, 1, -2, 2, 1, -1, 2, 1, 0, -1, 4, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, -2, 0, 1, 1, 1, 2, 1, -2, 2, 6, -2, 1, 0, -1, -1, 1, -1, 0, 1, 2, 0, 0, 1, 1, -1, -1, 1, -1, 0, -1, 0, -2, 6, 1, 1, 2, 0, -1, 0, -1, 1, 0, 0, 1, -2, 2, 0, -1, 2, 1, 0, 0, 1, 1, 1, 4, -1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, -1, -2, 0, -1, -2, -1, -1, 0, 0, 1, -1, 4, 0, 1, 1, -1, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, -1, 2, 0, 0, 4, -1, 0, 0, -1, 0, -1, 0, 1, -1, 0, -2, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 4, -1, -1, 1, 1, 0, -1, 1, 0, -1, -1, -1, -1, -2, 0, 0, 0, 1, -1, 0, 1, 0, -1, 4, 0, 0, -2, 0, -1, 0, 0, 1, 2, -1, 2, 1, 0, 1, 1, -1, 0, 0, -1, 0, -1, 0, 4, -1, 0, 1, 2, 1, -2, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 1, 0, -1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, -2, 0, 0, 4, 0, 0, 1, -2, 2, 1, -1, 2, 1, 0, -1, 2, 2, 0, 1, 0, -1, 0, 0, 1, 0, 0, 4, 2, 1, -1, 2, 2, 0, 1, 2, 2, -1, 1, 0, 0, 1, -2, 0, -1, -1, 2, 0, 0, 2, 6, 0, -1, 2, 0, -1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, -1, 0, -1, -1, -1, 1, 1, 2, 1, 0, 0, 2, -1, 0, 0, 1, 1, 1, -1, 4, 0, -1, 0, 1, 1, 0, 2, 0, -1, 0, -1, 1, 0, 1, 0, 0, -1, -1, 1, 1, -2, 0, 4, 2, 0, 0, 1, 1, 0, -1, -1, -2, 0, 0, -1, -2, 0, -1, 1, 0, -1, -1, -1, -1, 2, 6, 1, 2, 2, 1, 0, -2, 2, -2, 1, 1, 0, -2, 1, -2, 2, 1, -3, -3, -1, 0, 0, 1, 4, 0, -1, 2, 0, 1, 1, -2, 0, 1, -1, -2, 2, 1, 0, 0, 0, -1, 0, 1, 0, 2, 0, 4, 0, -1, 1, 0, 2, 0, 1, 0, 1, -1, -1, -1, 0, 1, -2, -1, -1, 1, 1, 2, -1, 0, 4, 0, 1, -2, 0, 0, -1, 0, 1, 0, 0, -2, 0, -1, 0, 0, -1, 0, 1, 1, 2, -1, 0, 4, 1, 1, -1, -2, -1, 2, -2, -2, 2, 1, 1, -1, -1, -1, -1, 2, 0, 0, 0, 1, 1, 1, 4, 1, -1, -1, -2, 1, 1, -1, 0, 1, -1, -2, -1, 0, 1, 0, -1, -2, 1, 0, -2, 1, 1, 4, 0, 0, -1, 0, -1, -1, 0, 2, 0, -1, 1, 0, 1, -1, -1, 2, 1, 2, 0, -1, -1, 0, 4, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, -1, 2, 0, -2, -2, -2, 0, 0, -2, -1, 0, 0, 4, 0, -1, 1, 2, -2, 0, 0, 0, 2, 1, 1, -1, 0, 1, 0, 1, -1, -1, -2, -1, 1, 0, 4, 0, 0, 1, 0, -1, 0, 2, -1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, -1, 0, 4, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 1, 1, -2, 1, -1, 1, 1, 0, 0, 4, 0, -1, -1, -2, 0, -1, 1, 2, 1, -2, -2, -2, -1, 0, -2, -1, -1, 0, 2, 1, 0, 0, 6, -1, 0, -1, 0, 2, 2, -1, 0, 0, 1, 2, -1, 0, 2, 0, 0, 0, -2, 0, 1, -1, -1, 4, 0, 1, 0, 0, -1, 0, 0, -1, -2, 1, -1, -2, 1, 1, 2, -1, 0, -1, 0, -1, 0, 0, 4, 0, -1, 1, 0, 0, -1, 1, 2, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -2, -1, 1, 0, 4, 0, 0, -2, 1, -1, 0, 1, 0, 1, -1, -1, -2, -1, 1, 0, 2, 0, 0, 0, 0, -1, 0, 4, 0, 0, 1, 1, -1, -3, 0, -2, 0, -1, -1, 1, -1, 2, -1, -1, -1, 2, 0, 1, 0, 0, 6, 1, 1, 1, -1, -3, -1, -1, 0, -1, 0, 0, -1, 1, 0, 0, 1, 2, -1, 0, -2, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, -2, -1, 0, 1, -2, 1, 0, 0, 0, -1, 0, 1, -1, 0, 1, 0, -1, 0, -2, 4, 0, 1, 2, 1, -1, -2, 2, -1, -1, 0, 1, 1, 1, 1, 1, 0, -2, 0, 1, -1, -2, 0, 4, 2, 1, -1, -1, 1, 1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, -1, -2, 1, 2, 4, 2, 1, -1, 1, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -2, 2, 1, 2, 4, 2, -1, 0, 2, 0, -1, 0, 0, 1, 0, 0, 1, 0, -2, 0, 1, 0, -1, 1, -1, 1, 2, 4, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, -1, -1, 1, 4, -1, 1, 1, 1, -1, -1, -1, -1, -1, -2, 1, 0, -1, -1, 1, 1, -2, 1, 1, 0, 0, -1, 6, 0, -1, -1, 2, 1, -1, 1, -1, 1, -2, 0, 2, -1, -1, -2, 2, 1, 0, 2, 1, 1, 0, 6, -1, -2, -1, 1, 0, 1, -1, 2, 1, -1, -1, 0, -1, 1, -1, 0, -1, 0, 0, 1, -1, -1, 4, 1, -1, -1, 0, -1, 0, -1, 1, 1, -1, 0, 0, 0, -1, -1, -1, -1, 1, 1, -1, -2, 1, 4, 1, 0, 0, 0, 0, -2, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, -1, 1, 4, 2, 1, 1, 0, 0, -2, -1, 2, 0, -1, 0, 1, 0, -1, 0, 0, -1, 1, 1, -1, 0, 2, 4, 0, 2, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 1, 0, 4, 1, 1, 1, 0, -1, 0, 2, 0, 0, 1, 0, -1, 0, 0, -1, 1, 1, -1, 0, 1, 2, 1, 4, 1, 1, -2, -1, 1, 1, -1, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 1, 1, 4, 0, 0, -1, 0, 1, 0, -1, 1, 1, 0, 1, -1, -2, 1, 2, -1, -2, 0, 1, 1, 1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, -1, -2, -1, 0, -2, 0, 0, 4, 1, -2, 0, 1, 1, -2, 0, -1, -2, -1, 0, 0, -1, 1, 1, -1, -1, -1, -1, -1, 0, 1, 4, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, -1, 1, 2, 1, 0, 1, 0, 0, -2, -1, 4, 1, -1, -1, 1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, -1, 1, 4, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 0, 0, -1, -1, 0, -1, 0, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 1, 2, -1, -1, -2, -1, 1, 1, -2, -1, -2, -2, 1, -1, 2, 0, 2, 0, 0, -1, 4, 1, 1, 0, -1, 2, 2, 1, -2, 1, 2, 2, -1, -1, 1, 1, 0, 0, 1, -1, -1, 0, 1, 4, -1, -1, -2, -1, 2, 2, 0, -1, 2, 0, -1, -1, 0, 2, -1, 1, 2, -1, 1, 1, 1, -1, 4, 0, 1, 2, -2, 0, 0, 0, -2, 1, 0, 0, 2, 0, 0, 1, -1, 0, 0, 2, 0, -1, 0, 4, 0, -1, 0, -1, -1, 2, 0, -1, -1, -1, 1, -1, 2, -1, 2, -1, -1, -1, -1, -2, 1, 0, 4, 1, -2, 0, 0, 0, -2, 0, 2, 2, 0, 0, -1, 1, -3, 1, 1, -1, 2, -1, 2, -1, 1, 4, 0, 0, -1, 0, 0, 1, 1, 1, 0, 0, 0, 1, -1, 1, -1, -2, 2, 2, -2, 0, -2, 0, 6, 2, -2, 0, 4, 0, -1, -1, 0, 1, 0, -1, 2, -1, -1, -1, 1, 2, 0, -1, 0, 0, 2, 4, 0, 0, 1, 0, -1, -1, 0, 2, -1, 0, 0, -1, 1, 1, -2, 0, 0, -1, 0, -1, -2, 0, 4, 0, -2, 0, -1, -1, 0, 0, 0, 1, -1, 0, 2, 1, 1, -1, 0, 2, 0, 0, 0, 0, 0, 4, 0, 1, -2, -2, 1, 0, 2, -1, 1, -1, 0, -2, 2, 2, -2, 0, -2, 0, 4, 1, -2, 0, 6, 0, -1, 1, 0, 2, 0, -1, 2, -1, -1, -1, 2, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, 4, 0, -1, 1, 0, 0, 1, -1, 0, 1, -2, -1, -1, 0, -1, 2, 1, -1, -1, -1, -2, -1, 0, 6, 2, -2, -1, -2, 1, -3, 1, 0, -2, -1, -1, 0, -1, 2, 1, -1, -1, -1, -2, 1, -1, 2, 6, 0, 0, -2, 1, -1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 4, 0, 0, 1, 1, 0, 1, -1, 1, 2, 0, -1, 0, 0, 1, 2, 0, 0, 2, 0, -1, 0, 0, 4, -1, 0, 0, -1, 1, 2, 0, -1, 0, 2, -1, 0, 0, -1, 0, 2, 0, 0, -2, -2, 0, -1, 4, -1, 2, 0, -1, 0, 0, 1, 1, -1, 1, 1, -1, 0, 1, -1, -1, 1, 1, 1, 1, 0, -1, 4, -1, 1, 2, 2, 1, 2, -1, 2, -3, -1, 2, 0, -1, 1, 2, -1, -3, -1, 1, 0, 2, -1, 6, 0, -1, 0, -1, -1, 0, -1, 1, 1, -1, -1, 0, -1, -1, 0, 1, 2, 0, -1, 0, 1, 0, 4, 0, 0, -1, 1, 0, -1, 1, -1, -1, 1, 2, 0, -1, 1, 0, 0, 1, 1, -1, 2, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 1, 1, -1, 2, -1, 0, -1, 2, -1, 1, -1, 0, -1, 2, 0, 2, 1, -1, 2, 4, -2, 1, 2, 1, 0, 1, 1, 0, 0, 0, -1, 0, 0, 0, -2, 0, -1, 2, 1, 0, -1, -2, 6, -3, -1, 1, -2, -1, -1, -1, 2, 1, 1, -2, -2, -1, 1, 2, 1, -3, -1, -2, 2, 1, -3, 6, 2, 1, 1, 2, -1, 2, -1, 1, -2, 1, 1, 2, 1, -1, 1, 3, 2, 1, 1, 2, -1, 2, 4, 2, -1, 0, 1, 1, 0, 0, -2, 0, 0, 0, -1, 0, -1, 1, 2, 1, 1, 1, 1, 1, 2, 4, -1, 1, -1, 0, 1, 0, -2, -1, 0, 1, -1, 1, 0, 0, 2, -1, -1, 0, -2, 1, -1, -1, 4, 1, 1, 1, 0, -1, 1, 1, 2, 2, 0, -1, 1, 0, -1, 0, 2, 1, -1, 2, 0, 1, 1, 4, -1, 1, -1, 1, 0, 0, 1, 1, -1, 0, 0, 2, 0, -1, -1, 1, -1, -1, 1, -1, 1, -1, 4, 1, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 2, 1, 0, 1, 1, 1, 4, 0, 0, -1, -1, 0, 2, 1, -2, 1, 2, 1, 0, -1, 0, 2, -1, 0, 1, 0, -1, 1, 0, 4, -1, 0, -1, -1, 0, 1, 1, 2, -2, 0, -1, 2, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 4, -1, 1, -1, 0, 0, 2, 0, 0, 0, -1, -1, -1, 1, -2, -2, -2, 1, 0, 0, -1, 0, -1, 4, 0, 0, -1, 0, 0, 0, -1, -2, 0, 1, 0, -2, 1, 0, -1, 1, 0, 0, -1, -1, 1, 0, 4, 1, 0, -1, 2, 0, -1, 0, 0, -1, 0, -2, 1, 0, 0, 2, 1, 0, 0, -1, -1, 0, 1, 4, 1, -1, -2, -1, 0, 0, 1, 0, 0, -1, 2, 0, 1, 2, 1, 0, 2, 0, 0, -1, 0, 1, 4, 1, -1, 1, 1, 1, 0, -1, -2, 1, 1, -1, -1, 0, -1, 0, 1, 1, 0, 0, -1, -1, 1, 4, -1, 2, 0, 0, 1, 2, 0, 2, -1, 0, 1, -1, 0, -1, -2, 1, 2, 0, 2, -2, -1, -1, 6, 1, -2, 0, -2, 0, -1, 1, 1, -1, 0, 1, 0, 0, 1, 2, 0, 0, 0, -1, 1, 2, 1, 4, -1, 0, -1, 2, 2, -3, 3, 1, 0, 0, 2, 0, 2, -2, 0, -1, -1, 0, 1, 0, -2, -1, 6, 2, 1, 1, 1, -1, 2, 2, 2, -1, 0, 0, 1, 0, 0, -2, 0, 0, 1, 0, 0, 0, 2, 4, 0, -1, 0, -2, 1, 1, -1, 0, -1, 1, 0, -1, -1, 0, 0, 1, 0, 1, -2, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, 1, -1, 2, 0, 0, -2, -1, 1, 1, 0, -1, 1, -1, -1, -1, -2, -1, -1, 2, 4, -2, -1, 0, -1, 1, -1, -1, -2, 1, 0, 1, -1, 0, -1, -1, 0, -1, -2, -1, 0, -2, -2, 4, 2, -1, 0, -2, 1, 0, 2, -1, -1, -1, 1, 1, 0, 0, 0, 2, 2, 1, 0, -1, -1, 2, 4, 1, 0, -1, 2, 0, 1, -2, 1, 1, 2, -1, 0, 0, 0, 1, 1, -1, 0, 1, 0, -1, 1, 4, 1, 0, 1, 0, 0, -2, 1, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 4, -1, -1, 1, 1, 1, 1, 0, 0, -1, 0, -1, -1, -1, 1, 0, -1, 2, 1, -2, -1, 0, -1, 4, -1, 1, -1, 0, 0, 1, 0, -2, 1, 1, -1, 0, -1, -1, 1, 0, -1, 1, 2, 1, -1, -1, 4, -1, 0, -2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 1, -1, 4, 0, -1, 0, 1, 1, -2, 2, 1, -2, 1, 0, -1, 1, -2, -2, 2, 1, 0, 1, -1, 0, 0, 4, -1, -1, -2, 1, 1, 1, 0, 1, 1, 2, 1, 0, -1, 1, -1, -2, -2, 1, 0, -2, -1, -1, 6, 0, 0, -2, -1, -3, 0, -1, -2, -1, 0, 1, 1, 0, -1, 1, 1, 1, 0, 1, 0, -1, 0, 4, 2, 1, -2, 0, -1, 0, -2, -1, -2, -1, 1, 1, -1, 1, 0, 0, 1, 0, 1, -2, 0, 2, 4, 1, -3, 0, 0, -1, -1, -1, -2, 1, 0, -1, 1, 2, 1, 0, 0, 1, 1, 1, -2, 1, 1, 4, -2, 2, 1, 0, 1, 1, -1, 1, -1, 0, 1, -1, 0, -1, -2, 1, -2, 1, -1, -2, -3, -2, 6, 0, -1, 2, 1, 1, 3, -2, 1, -1, 0, 0, 1, 0, 1, 0, 2, 1, -3, 0, 0, 2, 0, 4, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, -1, -1, 1, 1, 1, 0, 0, -1, 0, 1, -1, 0, 4, 0, 1, 0, 0, 2, -1, 0, 0, 0, 0, -1, -1, 1, -2, 1, -1, 0, -1, 0, 2, 0, 0, 4, 0, 1, 1, 0, -1, -1, 2, 1, 0, -1, 0, 0, 1, 1, -2, -2, -1, 1, 1, 1, 1, 0, 4, 1, 1, 1, -2, -2, 2, 1, 0, 1, -1, 0, 0, 2, -1, -1, -1, 1, 1, 1, 0, 1, 1, 4, 2, 0, -1, -1, 1, -1, 0, 0, -1, 0, -1, 1, 0, -2, -2, -1, 3, 0, 0, 1, 1, 2, 4, -1, -1, 0, 0, 0, -1, -1, 1, -1, 1, 0, 1, -1, 1, 1, -2, 0, 2, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 2, 2, -2, 1, -1, 1, -1, 1, -1, 1, 1, 1, 2, 1, -1, -1, 0, 2, 1, 4, 2, 2, 2, -1, -2, -1, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 0, 2, 2, 4, 0, 2, 0, -1, -1, 1, -1, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, -1, 1, 1, 2, 0, 4, 0, -1, -2, -1, -1, 0, -1, 0, 1, 0, -1, -2, -1, 1, 0, -1, 0, 1, 2, 2, 2, 0, 4, 1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 1, 2, 0, -1, 0, -1, 0, 2, -1, 0, -1, 1, 4, -1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -2, -2, -1, -2, -1, -1, 6, -1, 2, 0, 1, 1, 1, 1, -1, 2, -1, -1, 1, 1, -1, 0, 1, -1, -1, -1, 1, 1, -1, 6, -2, 1, -2, -1, -1, -1, 1, 1, 2, 2, -1, -2, 0, -1, -1, 1, 1, -1, 1, 0, 2, -2, 6, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, 2, 0, 1, -1, 4, -1, 0, 1, 0, -1, 0, 1, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, -2, 0, -1, 4, 0, 1, 1, 0, 0, -1, -2, 0, 2, -1, 0, 1, -1, 0, 0, -1, 0, 1, -1, -1, 0, 0, 4, -1, 2, 0, 1, 0, -1, -1, 0, 1, 2, -1, 0, -1, 1, 0, 0, 1, -1, 0, 1, 1, -1, 4, -1, -1, -1, -1, -1, 2, 1, -1, 0, 1, -1, 0, 0, -1, 0, 1, -1, -1, 0, 1, 2, -1, 4, 0, 1, 0, 0, -1, 0, 1, 2, 1, 0, 1, -1, 0, 0, -1, 1, 0, -1, 0, 0, -1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 1, -1, 1, -2, 1, 1, 2, 1, 1, 0, 0, 1, -1, 1, 0, 4, 2, 0, -1, 0, 0, 1, 2, 0, 1, -1, 2, 1, -1, 2, 0, 1, -1, 0, -1, 0, 1, 2, 4, 1, -1, -1, 1, 1, 1, 0, 0, 1, 0, 0, -1, 2, 0, 1, -2, -1, -1, 0, 0, 0, 1, 4, 0, -2, 1, 0, -1, -1, 0, 0, -1, 0, 1, -1, 0, 1, 0, -1, 2, -1, 0, -1, -1, 0, 4, 0, -1, 0, -1, 0, 0, -1, 0, 0, 1, -2, 0, -1, 2, 0, 1, 0, 0, 0, -1, -2, 0, 4, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 1, 1, -1, 0, 4, 0, 2, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 0, 2, -1, 1, 0, 1, 0, 2, 1, 2, -2, -1, -2, 1, 0, 1, 2, 1, 0, 4, 2, 2, 0, 0, -2, -2, -2, 2, 1, 1, 2, 2, 0, 0, 0, -1, 1, 2, 0, 0, 1, 2, 4, 0, 0, 0, -2, -1, -1, 2, 1, 1, 2, 2, -1, 1, -1, 0, 0, 2, 1, -1, -1, 2, 0, 4, -1, -1, -1, 0, -2, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, 0, 1, 0, 2, 1, -1, -1, 1, -1, 0, 0, 0, -1, 2, 1, 0, 0, 2, 0, 0, -1, 0, 4, 1, -1, 1, 0, 1, 1, 0, 2, -1, 0, -1, 0, -1, 0, 1, 2, -1, -2, -2, -1, 1, 1, 4, 0, 2, -1, -1, -1, -1, -2, 1, 1, 1, -1, 0, -1, -1, 0, 1, -2, -1, 0, 0, -1, 0, 4, 1, -1, -2, 1, -1, -2, 0, -1, 0, 1, 0, -1, 0, 0, 0, -2, -1, -2, 2, 1, 2, 1, 4, -1, -1, -1, -1, -2, 0, 1, 0, -1, 0, -1, 0, 1, 1, 2, 2, 0, 1, 0, -1, -1, -1, 4, 1, 0, 2, 2, -1, 0, 0, 0, 1, 2, 0, -1, 0, 1, 1, 0, -1, 1, -1, -2, -1, 1, 4, 0, 0, 2, 0, 0, -1, 0, -1, 0, 1, 1, 2, 1, 1, 1, -1, 1, -1, 1, -1, 0, 0, 4, 0, 1, -1, 0, -1, 1, -1, 0, 1, 1, 1, 2, 2, 0, 1, 0, -1, -1, -1, 2, 0, 0, 4, 2, 0, 0, -1, 0, 1, 2, 0, -1, 2, 2, 2, 0, -1, 2, -2, -2, -2, 2, 2, 1, 2, 6, -1, 0, -1, 2, -1, 2, 1, 0, -2, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, -1, 0, -1, 4, 0, 2, -1, 0, 0, -2, -1, -1, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, 1, 0, 0, 0, -1, -1, -1, -1, 2, 0, 4, -1, 0, 0, -2, -1, 1, -1, 0, 0, -1, 0, -1, 1, -1, 0, 0, 1, 0, 2, -1, 0, -1, 4, -1, 0, 1, 0, 0, 1, 0, 0, 2, -1, 0, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, -1, 4, 1, 0, 0, 1, 2, 2, 0, 1, 0, -1, -1, -1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 4, 1, -1, 2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, 1, -2, 0, -2, 1, 0, 1, 4, 1, 1, 0, -1, 0, 0, 2, 0, 0, 1, -1, 1, 1, -1, 0, -1, 0, -1, 0, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 1, 1, 0, -1, 1, 1, 0, 0, -1, 0, -1, -1, 2, 1, 1, -1, -1, 1, -1, 4, 1, -1, 0, 0, 1, -1, 1, 1, -1, 1, 2, -1, -1, 2, -1, -1, 1, 1, -1, 1, 1, 1, 4, 0, 2, -1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, -1, 0, 1, -1, 1, 2, -1, 0, 4, -1, 1, -1, 0, 0, 1, 1, -1, 0, 1, -1, -1, 0, 2, 1, -2, -1, 0, 1, 0, 2, -1, 4, 0, 1, -1, 1, 0, -1, 1, 1, -1, 0, 0, 1, -2, -1, 2, 0, 1, 1, 0, -1, 1, 0, 4, -1, 0, -1, -1, 0, 1, 1, -1, 0, 0, 2, 2, 2, -2, -1, 1, 0, 1, 1, -1, 1, -1, 4, 1, 2, 1, 0, 0, 1, 0, -1, 0, -1, -2, -1, 2, 0, 0, -1, -1, 0, 0, -1, 0, 1, 4, 0, 0, 2, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, -1, 2, 0, 4, 1, 0, -1, 0, 1, 0, 1, 0, -2, 0, 2, -1, 0, 1, 1, 2, 1, 0, -1, 1, 0, 1, 4, 1, 0, 0, 1, -1, 0, -1, 1, 0, -1, -1, 0, 0, -1, 1, 1, -1, 0, 0, 2, 0, 1, 4, 0, 1, 0, 1, 0, 0, 2, 1, -2, -1, -1, 0, 1, 0, -1, 1, 1, 0, 0, -1, 0, 0, 4, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, -1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 6, -2, 0, 1, -1, -1, 1, 1, 0, 2, 0, -1, 0, 1, -1, -1, 0, 0, 1, 1, 0, -1, -2, 4, 0, -1, -1, 1, -1, -1, 0, -2, -1, -1, 0, -1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 4, 1, 0, -1, 0, 0, 1, 0, -1, 2, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 1, 4, 0, -1, 1, 1, 0, 1, 2, -1, 0, 0, 1, 2, -1, -1, 0, -1, 0, 1, -1, -1, 0, 0, 4, 1, 1, -1, -1, 1, 1, -1, -1, 2, -2, 2, -2, 0, -2, 1, 2, 1, -1, 1, -1, -1, 1, 6, 2, -4, -1, -1, 1, 1, 0, 1, -1, 2, -1, 0, 0, 0, 1, 0, 1, -1, 0, 1, 1, 2, 4, -2, -1, 1, -1, 1, 1, -2, 2, -2, 2, 0, 2, -1, -2, -1, 1, -1, 0, 1, -1, -4, -2, 6, 2, 1, -1, -1, -1, -1, 0, -1, 0, 1, -1, -1, -1, -1, 0, 0, 1, 0, -1, -1, -1, 2, 4, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 1, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -2, -2, 1, -2, 2, -2, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, 1, 4, -1, -2, 0, -1, 0, 0, -1, 2, -1, 0, 0, -1, 1, -2, -2, 0, 1, 0, 0, 0, 2, -1, 4, -1, 0, -2, -2, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, -2, -2, -1, 6, -2, 3, 1, -2, 2, 0, 2, -2, 1, -1, -1, 0, 1, -2, -2, 2, -1, 0, 1, 0, 0, -2, 4, -2, -1, 2, -2, -1, 0, 0, -1, 1, 1, 1, 1, 1, 0, -1, 1, 0, -2, -1, -2, 3, -2, 6, 1, -2, 1, 0, 1, 1, -1, -2, 0, -1, 2, 0, -2, 0, 1, -2, -2, 0, -2, 1, -1, 1, 4, -2, 2, 0, 2, 0, 0, -1, 1, 0, 0, -1, 1, 1, 0, 0, 1, 0, 1, -2, 2, -2, -2, 4, -1, 0, -1, 0, 0, 2, 1, 0, 0, 2, 1, -2, 0, 0, -2, -1, 0, 2, -2, 1, 2, -1, 4, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, 2, 2, 1, 0, -1, 0, 0, 0, 0, 6, -1, -1, -1, -2, 1, -2, -1, -1, 0, 1, 1, 1, -2, -1, -1, 2, 0, 1, 2, -1, 1, -1, 4, -1, 1, -1, 1, 1, 1, -1, 0, 1, -1, -1, 0, 0, 0, -2, 0, 1, 0, 0, 0, -1, -1, 4, -2, 1, 0, 0, 0, 2, 0, -2, 1, -1, 0, 0, 0, 1, -1, -1, 0, 0, 0, -1, 1, -2, 4, 0, -1, 0, -1, -1, 0, 1, -2, 0, 0, -1, 1, -1, 1, -2, -1, 2, 0, -2, -1, 1, 0, 4, 0, 1, -1, 2, 1, -2, 0, 0, -1, 1, -1, -1, 1, 0, 1, 1, 0, 1, 1, 0, -1, 0, 4, 0, 0, 0, 1, -1, 1, 0, -1, -2, 0, 0, 1, -1, 0, 0, 0, -2, 1, 0, 0, 1, 0, 4, 2, 0, 0, 0, 0, 1, -1, -2, -1, 1, 1, 2, 0, 0, 0, -1, 1, 0, -1, -1, 0, 2, 4, 0, -1, 0, 1, 0, 0, 0, 0, -2, 1, 0, -1, 2, -1, -1, -1, 2, -1, 2, 0, 0, 0, 4, 1, -2, 1, -1, -1, 1, 0, -2, 0, -2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 4, -1, 0, 1, 0, 0, 0, 2, -1, 0, 1, -2, 1, 1, 1, -2, 1, -2, -1, 0, 0, -2, -1, 4, 0, 1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, -1, 1, -2, 0, 1, 0, 1, 1, 0, 0, 4, 0, 0, 0, 1, 0, 0, -2, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 0, -2, 0, 1, -2, 1, 1, 2, 1, -1, -1, 1, 0, -2, -1, 2, 0, 0, -2, 4, -2, 1, 0, 1, 0, 1, 0, 1, -1, -2, -1, 2, 1, 0, 1, 0, 0, -2, -1, 0, 2, -2, 4, 0, -1, -1, 1, -1, 0, 0, 0, 2, 1, -1, -1, 0, -1, -1, -1, 2, 0, 1, 1, 1, 0, 4, 1, -1, 0, 2, 0, 2, -1, 0, -1, 1, 0, 2, -1, -2, -2, 0, 0, 1, 0, 0, -1, 1, 4, -1, 1, 1, -1, -1, 0, -1, 0, -1, -1, 1, 0, 0, 0, -1, 1, 0, -2, 1, -1, -1, -1, 4, 1, 0, 2, 1, -1, -1, -1, 0, 2, 0, -1, 1, 1, -1, 1, 1, 0, 0, 1, 0, 1, 1, 4, -1, 0, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1, 0, 0, 0, 1, 1, -1, 2, 1, 0, -1, 4, -1, 1, -1, -1, 0, 1, 0, 2, 0, -1, 0, -1, 1, 0, -2, 0, 0, 0, -1, 2, 0, -1, 6, -1, 0, 0, 0, 0, 1, 1, -3, 1, 1, 0, 1, 2, 1, 1, 0, 2, -1, 1, 0, 1, -1, 6, -1, 0, -2, 0, 2, 2, 0, -1, -2, 0, 0, 1, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 4, 0, 1, -1, -1, 0, 1, 1, 1, 0, -1, 0, 2, -2, 2, 0, -1, -1, 0, -1, 0, 0, 0, 4, 1, 0, 0, 0, -1, -1, -1, 2, 0, 0, 1, -1, 1, -1, 0, -1, -1, 0, 0, -2, 1, 1, 4, -1, -1, -1, 1, -1, 2, 1, 1, 0, -1, 2, -1, 1, -1, 0, -1, 1, 0, 0, -1, 0, -1, 4, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1, -1, 0, -1, 2, 1, 0, 1, 2, -1, 0, -1, 0, 4, 1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, -1, 0, 1, 4, -2, 0, -1, 0, 1, 1, 0, 1, -1, -1, 0, -1, -1, 0, -3, 0, 1, -1, 1, 0, -1, -2, 4, 0, 1, -1, -1, -1, -2, 0, -1, -2, 0, 1, 0, -1, 1, -1, 1, -1, -1, 0, 0, 0, 0, 4, 1, -1, 0, 0, -1, 0, -1, -2, 0, 1, -1, 0, 1, -2, 1, -1, 2, -1, 0, -1, 1, 1, 4, -1, 1, 0, 2, -2, 2, 0, -1, -1, 0, -1, 0, 0, 0, 2, 1, -1, 0, 0, -1, -1, -1, 4, 1, 0, 0, -1, 0, 0, 1, 1, 0, 1, 1, 0, -1, 0, 1, -1, 1, 1, -1, 0, 1, 1, 4, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, -1, 0, 2, -1, -2, 1, -1, -1, 1, 1, 1, -1, -2, 1, 1, 1, 2, 1, 4, 0, -2, -1, -1, -1, 0, -2, -2, 0, 0, 1, 2, 1, -1, 1, 1, -1, -1, 0, 1, -1, 0, 4, -1, -1, -1, -1, 0, 1, -1, 0, -1, -1, 0, 1, -2, 0, 2, -2, 1, 0, 0, -1, -2, -1, 4, 2, 1, 1, 0, 0, 2, 0, 1, -1, -2, -1, 2, 1, 0, 1, -1, 1, 0, -2, -1, -1, 2, 4, 2, 1, -2, 0, 2, 0, 2, 0, -2, -1, 1, 1, 0, 1, -2, 0, -1, -1, -1, -1, 1, 2, 4, 2, -1, 1, 0, -1, 1, 0, -2, 0, 2, 0, -1, 1, -1, 0, 0, 0, -1, -1, 1, 1, 2, 4, 1, 1, 1, 1, 0, -1, -2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, -2, -1, 1, 4, 0, -1, 1, -2, -2, 0, 0, 1, 0, -1, 0, 1, 0, 2, -1, -2, 1, 0, 0, 1, 1, 0, 4, 0, -1, -1, -1, 0, 1, -1, 0, 0, 1, 2, -1, 0, -2, -2, -1, 2, 2, 0, 1, -1, 0, 6, 1, 2, 1, -1, -1, 1, -1, 2, 1, 1, -1, -2, 1, 0, 0, 0, 0, -1, 1, 1, -1, 1, 4, -1, -1, -1, -1, 1, -1, 1, 0, 0, 1, 1, -1, 0, -1, 1, 2, 1, 0, -2, -1, 2, -1, 4, 2, 0, 0, 1, 0, 0, 0, 0, 0, -2, -1, 1, -1, -1, 0, 0, -1, -2, -1, 1, -1, 2, 4, 1, 0, 0, 0, 1, -1, 0, -1, -2, 1, 2, 0, -2, -2, -2, -2, 0, 0, -1, -1, 0, 1, 4, 1, -2, 0, 0, 0, 1, -1, 0, 1, 1, 1, -1, -1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 4, 0, 0, 0, 0, 2, -1, 1, 1, -1, -2, 2, 1, 2, 1, 1, -1, 1, 1, 1, 0, -2, 0, 6, -1, -1, 1, -1, 0, 1, -1, 1, 0, 1, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 4, 0, -1, -2, 0, 0, -2, 1, 2, 0, 0, -1, 0, -1, 0, 2, 1, 0, 1, 0, 0, -1, 0, 6, -1, 1, 0, 0, 1, -1, -2, 1, 1, 1, 1, 0, 1, 1, 0, 0, -1, 0, 0, 1, -1, -1, 4, 0, 0, 1, 1, -1, 1, -1, -2, -1, 1, 1, 2, 1, 0, 0, 0, 1, 2, -1, -2, 1, 0, 6, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 4, 0, 2, 1, 0, 0, -1, 0, 1, 2, 0, -2, 1, -2, -2, 0, 1, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 2, -1, 1, 1, 1, 0, 2, 2, -2, 0, 0, -1, 1, -2, -2, 0, 1, 0, 1, 4, -2, 0, 0, -2, 0, 2, 0, -1, 1, 1, -2, 0, 0, 1, 1, -1, 0, 0, 1, -1, -1, -2, 4, 0, 0, 2, 0, 0, -1, 0, 0, -2, 1, -1, -1, 0, -1, 0, 0, 1, 0, 1, -2, 0, 0, 4, -2, -1, -1, -1, 0, -1, -1, -2, 2, 0, -1, 2, -1, 2, 1, 0, -1, 1, 2, 0, 0, -2, 4, -1, 2, 1, -1, 1, 2, 0, 0, 1, 0, 0, 0, -2, -2, 1, 0, 0, -1, -2, 2, -1, -1, 6, -2, -2, 1, -1, 0, -1, -1, 0, 2, -2, 1, 1, 1, 1, 1, 1, 1, 0, 0, -1, 2, -2, 4, 2, -2, 2, 1, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 2, 0, -1, 1, -2, 2, 4, -2, 0, 1, 0, -1, -1, 0, 0, 0, -2, -1, 0, 0, 0, 1, 0, -1, 0, -1, 1, -2, -2, 4, 0, -1, 2, -1, 0, 0, -1, 0, 1, 1, 0, 1, -1, 0, -1, 0, -1, 1, -1, 2, 0, 0, 4, -1, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, -1, 2, 1, 0, -1, 2, 0, 1, 1, -1, -1, 4, 0, -1, 1, 0, 0, 1, -2, -2, 0, 0, 1, 2, 1, -2, -2, 0, -1, 0, 0, 2, 0, 0, 6, -1, 0, 0, -2, 2, 0, 1, -2, 0, -1, -2, -2, 1, 2, 0, -1, 0, -1, -1, 1, -1, -1, 6, 0, -2, 1, -2, 2, 0, 0, -3, 0, 0, 0, -1, 0, 1, 0, -1, -1, 0, 0, 1, 0, 0, 4, 0, 1, 0, -1, 0, 0, -1, 1, 0, 0, -1, -1, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 4, -2, 1, 0, 0, 0, 1, 1, -1, 1, 0, 2, 0, -2, 0, 0, -1, 0, 0, -2, 1, 1, -2, 4, -1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, 0, 0, 0, -1, 1, 2, -2, 0, 1, -1, 4, 0, 0, -1, 1, 0, -2, -1, 0, 2, -2, 1, -1, -2, 1, 0, -2, 0, 2, -1, 0, 0, 0, 4, 2, 0, 0, 0, -2, 0, 0, 1, -2, 1, -1, -1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 2, 4, -1, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, -2, 0, 0, 0, 0, -1, 0, -1, 4, 1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -3, -1, 1, 0, 1, 0, 0, 1, 4, -1, 0, -1, 1, 1, 0, 1, 0, 0, -1, -1, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, -1, -1, 1, -1, 1, -2, 1, 1, 2, 1, -2, 1, 2, -1, -2, 1, 0, 1, 1, 4, 1, -1, -1, 1, 1, 1, 1, -2, 2, 2, 1, 2, -1, 1, -1, -2, 0, 2, 0, 2, 2, 1, 4, 1, 0, 1, 2, 1, 2, -1, 1, 1, 0, 1, 0, 2, 0, -1, -2, 1, -1, 1, 2, -1, 1, 6, 1, -2, 2, -2, -1, 0, 0, 1, 0, 1, 0, 0, 3, 0, -1, 0, -1, 0, -1, -1, 0, 1, 4, 0, 0, 1, -1, 2, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -2, 0, 4, 0, 2, 2, -1, 1, 1, -1, 1, 1, 1, -1, -1, 0, 1, -1, 1, 1, 1, 2, 2, 0, 0, 4, -1, 0, -1, 1, 1, -1, 1, 1, 0, 0, -1, 0, 1, 0, 1, -1, 1, 1, -2, 1, 2, -1, 4, 1, 0, 1, 1, 0, 1, 0, 1, -2, -1, 0, 1, -1, 1, 1, 1, 2, -1, -1, 2, 0, 1, 4, -2, 1, 1, 0, 1, 0, 2, 0, -1, -1, 1, 0, 1, -2, -2, -1, 0, 2, -1, -1, 0, -2, 6, -3, -1, -1, -1, 1, -1, -1, 3, 0, -3, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, -3, 4, 1, 1, 2, 0, 1, 0, -2, 0, 2, -1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, -1, 1, 4, 0, 2, -1, 1, 0, -2, -1, 1, 0, 2, 2, 1, 0, 0, -1, -1, -1, 0, 0, -1, 1, 0, 4, 0, -1, 0, 1, -1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, -1, 2, 2, 0, 4, -1, 1, 0, -1, -1, 1, 0, 2, -2, -1, 0, 0, 1, 1, 1, 0, 0, 1, 0, -1, -1, -1, 4, -1, -1, 0, 2, 0, -1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, -1, 1, 1, 0, 1, -1, 4, 1, -1, -2, 1, 0, 1, 2, -1, 0, 3, 0, -1, 0, -2, 0, -1, 0, 0, 1, 0, -1, 1, 4, 0, -1, 0, 0, 0, -1, -2, -1, 0, 0, -1, -1, -1, -1, 3, -2, -2, -1, -1, 0, -1, 0, 4, 0, -2, 1, -1, -2, 0, -2, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 2, -2, -1, 0, 4, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, -3, 2, 1, 1, 1, 0, 1, 0, -2, 0, 4, 0, 1, 0, 0, -1, -1, 0, -1, 0, -1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 4, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -1, 0, -1, -2, 2, 2, 2, -1, -1, -1, 1, 0, 0, 1, 2, -2, 0, 0, 0, 0, 6, -3, -1, 2, 0, -2, 0, 3, 0, 0, 1, 1, 2, 1, 0, 1, -1, 2, -2, -2, -3, -1, -3, 6, 0, -1, 2, 0, 1, -4, 1, 2, -2, -2, 0, -1, -1, 0, 0, 0, 1, 2, 2, -1, -1, 0, 4, -1, -1, 1, 0, 0, 0, 1, 2, 2, 0, 0, -1, -2, 0, 1, 1, 0, 0, 0, 2, -1, -1, 4, 1, 0, 0, 1, 0, -1, 0, 0, 0, 1, -1, 1, 1, -1, -2, -1, 0, -1, 0, 2, -1, 1, 6, -2, -1, -1, -1, -1, -1, -1, 1, -2, -2, -1, -1, 2, 1, -1, 1, -2, -2, 0, 1, 0, -2, 6, -2, -1, -2, 1, 0, 0, -1, 1, 1, 1, -1, -1, -1, 2, 0, 2, 0, 1, 0, 0, -1, -2, 4, 1, 2, 0, 0, -1, 1, 1, 0, 0, 2, -1, 0, 0, 0, 2, 3, -4, 0, 1, -1, -1, 1, 6, 0, -2, 2, 0, 2, 0, 1, 0, 1, 1, -1, -2, -2, 2, 0, 1, 0, 0, -1, -2, 2, 0, 4, 0, -1, 0, 1, 0, 0, 0, 2, -2, 0, 0, 0, -1, 0, 2, 1, -1, -1, 1, 0, -2, 0, 4, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, -1, 1, -2, 2, 0, -1, 0, 0, 2, -1, 0, 4, 2, 0, 0, 0, -1, 0, 2, 0, -1, -1, -1, 1, -2, 2, 0, -1, 0, -1, 0, 0, 0, 2, 4, 0, 1, 0, -1, 0, 0, 0, -1, -1, 1, 2, 0, 0, 0, 1, -1, 1, 2, 1, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, -1, 0, 1, -2, 1, 1, 0, 0, 0, 0, 1, 0, 4, 0, 1, 1, -1, -2, 0, -1, 0, 0, -1, -1, -1, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 1, 0, -1, 0, 0, 0, 1, 1, 0, -2, 1, -1, 1, 0, 0, 0, 1, -1, -1, 0, 1, 1, 4, 0, -1, -2, 1, 0, 2, -1, 0, 0, 1, -1, -1, 2, 1, 2, -1, 0, 0, 0, 1, 0, 0, 4, -2, 0, 0, 1, -2, 2, 0, 1, -1, 2, -1, -1, 1, -2, 1, 2, 0, 1, -1, -1, -1, -2, 6, 0, -1, -1, 0, -2, 1, 1, -2, 1, -1, 0, -1, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 4, 1, 1, 0, -2, 2, 0, -1, -1, 2, 0, -2, 0, 1, -1, -1, 0, 0, 0, 1, 0, -1, 1, 4, 0, 0, -3, 2, 0, 0, 1, 0, 0, -2, 0, 0, -1, -1, -2, -1, 0, 0, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, 0, 0, 1, -1, 2, -1, 0, 2, 0, 2, 0, -1, -2, 0, 2, 1, 1, 2, 4, 2, 0, 1, 1, -1, -1, 0, 2, 0, -1, 1, -1, 1, 0, 1, -2, -1, 2, -1, 2, 2, 2, 4, 1, 1, -1, 1, -1, 0, 2, 1, 0, 1, 0, 1, 0, 0, -2, 0, 2, 0, 1, 1, 0, 1, 4, -1, 0, 2, 1, 1, 1, -1, 2, 0, 2, 1, -1, 1, -1, 2, 1, 2, -1, 0, 1, 1, -1, 4, -1, 0, 0, 0, 1, 1, 0, 1, 0, -1, -1, -1, -1, 0, 1, -2, 1, 0, 1, -1, 0, -1, 4, -1, -1, -1, 0, -2, 0, 0, 0, 0, -1, 1, 0, -1, 0, -1, 1, 0, -1, 1, 2, 0, -1, 4, 0, 0, 0, -1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, -2, 1, -1, -1, 1, 0, -1, 0, 4, 0, 0, -1, 1, 0, 1, 1, 0, -1, 0, 1, 0, 2, 0, -1, 0, 0, 1, 0, -1, 0, 0, 4, -1, 0, 0, -1, 0, 0, -1, 0, 1, 1, -1, -1, 0, 2, 2, 2, 1, 1, 0, 0, 0, -1, 4, 1, 0, 2, 1, 1, 0, 0, -2, 0, 2, 0, 1, -1, 0, 1, -1, 1, -2, -1, -1, 0, 1, 6, 0, 1, 0, -2, 2, -1, -1, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 4, 0, 2, -1, 0, 0, -1, 1, 0, 2, -1, 2, 1, 1, 0, 1, 0, 0, 0, -1, 2, 1, 0, 4, 0, 1, 0, -1, -2, 1, 2, 0, 1, 0, -1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 4, -1, 0, 0, 0, 1, 0, 2, -1, 2, 1, 1, 1, -1, 0, 0, 1, 0, 1, -2, -1, 1, -1, 4, -1, 0, -1, 1, 1, 0, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, -1, 4, 1, 0, -1, 0, 2, 0, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0, -1, 0, -1, 0, 0, 1, 4, 0, 0, 0, 1, 0, -2, -2, -2, -1, -1, 0, 0, 0, 1, -2, -1, -1, -2, 0, -1, 0, 0, 4, 0, -2, 0, -1, 0, -1, 0, 2, 0, -1, 2, 1, 1, 0, 0, 1, 1, 1, 1, -1, 0, 0, 4, 0, 1, -1, 2, 2, 2, 1, 1, 0, 0, 0, -1, 2, 1, 0, 2, 0, 1, 0, 0, -2, 0, 4, 1, 1, 1, -1, 0, 2, -2, -1, 2, 2, -1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 6, -2, 1, 2, 1, -1, 1, 1, -2, 0, 0, 1, 0, -1, 1, -1, 1, 0, 0, -1, -1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, -1, -1, 0, 2, 1, 1, -2, 0, 1, 4, 0, -2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, -1, -1, 1, 2, -1, 0, -2, -1, -1, 0, 4, -1, -1, 0, 0, 1, 1, 0, -1, -1, -2, -1, -1, -1, -1, -1, -2, 0, 1, 0, -1, -2, -1, 4, 0, -1, 0, -2, -1, 0, -1, 1, 1, -1, 1, 2, -1, 0, 1, 0, 0, 1, 2, 2, -1, 0, 4, 1, 1, 0, 1, 0, 1, 0, 2, 0, -1, 0, 1, 3, 1, 0, -3, -1, 1, 0, 0, -1, 1, 4, -1, 0, -1, -1, 1, 0, -1, 1, -1, 0, 2, 1, 0, -1, -1, -2, 1, 0, 0, 0, 1, -1, 4, 1, 0, 2, 0, 0, 2, 0, 1, 0, -2, 1, 0, 2, -1, 0, 1, 2, 1, -2, 0, 0, 1, 4, 0, 1, 0, 0, -1, 1, -1, -1, -1, 1, -2, 1, -1, 0, 0, 1, 1, -1, 1, -1, 0, 0, 4, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 0, -1, 2, 1, 0, 4, 1, 0, 2, 1, 1, 0, -2, 1, 0, 2, -1, 0, 1, 1, -1, -1, 1, 1, 0, 0, 0, 1, 4, -1, 0, 2, 1, 1, 1, 0, 0, -1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, 4, 1, 0, -1, -1, 0, 2, 0, 0, -1, 1, 2, 0, -2, 1, 2, -1, 2, -1, 0, 2, 0, 1, 6, -1, 1, -1, 0, 1, 3, 2, -1, 0, 1, 1, -1, -1, 0, 1, 0, 1, 0, 1, 2, 0, -1, 4, 0, 1, 0, 1, -1, 0, -1, 0, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 0, 4, 2, -1, -2, 1, 1, 2, -1, -1, -1, -1, 2, 0, 0, 0, -1, 0, 0, 1, -1, -1, 1, 2, 4, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 2, -2, -1, 0, -2, 1, 0, 0, 0, -1, -1, 4, 0, 1, -2, 0, -1, 2, 2, -1, 0, 3, 1, 1, 1, 1, 1, 0, 2, 1, 1, -2, 0, 0, 6, 0, 1, -4, 0, 1, -1, -2, 1, 1, 0, 0, -2, 0, 0, 0, 0, 3, -1, 1, 0, 1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, -1, 2, 1, 0, 2, -1, 0, 2, 0, 1, 0, -2, 1, 0, 4, 0, 0, -2, -2, 1, 0, -3, -1, -1, -1, -1, -1, 0, -1, -1, -1, 2, 0, 0, -4, 0, 0, 6, 0, 0, -1, 0, 1, -1, -2, 0, 0, 1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 1, -2, 2, 1, 2, 1, 1, 1, 0, -2, 1, -1, 1, 0, -1, -2, 1, 0, 0, -1, 4, -1, -2, 2, 0, -2, -1, -2, 0, -1, -1, 2, 1, -1, -1, 1, 1, 0, -1, -1, 1, 0, -1, 4, -1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, -1, -2, 1, 0, -1, 2, 1, 1, -2, -1, 4, -2, 1, 0, 0, 2, 1, 1, -1, -2, -1, 1, 2, 0, -2, -1, 2, 0, 0, -2, 2, 0, -2, 4, -2, -1, -2, -1, 0, -1, 0, 2, 1, 0, -1, 0, 1, 2, -1, 0, 0, 2, 0, 0, 1, -2, 4, 1, 2, 0, 1, 0, -1, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, -2, 2, 0, -1, 1, 4, 2, 0, 1, 0, 0, -1, 0, 0, -1, -1, 1, 0, -1, 1, -1, 2, -1, 1, 0, -2, 2, 2, 4, 0, 0, 1, 1, -2, 1, -1, 0, 0, 0, -2, 0, 0, -1, 1, -2, 1, 2, -1, 0, 0, 0, 4, 0, 2, 1, 0, 0, 1, 2, -1, -2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 4, 1, -2, 0, 0, -1, 0, -1, -1, -1, 0, 1, 0, 1, -1, 1, 1, -1, 0, 0, 1, 2, 1, 4, 1, 0, 0, 0, 1, 0, -2, -1, 1, 0, 1, 0, -1, 1, -1, 0, -1, 0, 1, 1, -2, 1, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -2, 2, 1, -2, 2, -2, -1, -2, 0, 0, 0, 0, 6, -1, -1, 0, -1, 0, 1, 0, 1, 1, 1, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, -1, 4, -1, -1, 1, 1, 0, -1, -1, -1, -1, -1, 1, 1, 0, 0, 0, -1, 1, -1, 0, 1, -1, -1, 4, 0, -1, 0, 1, 0, 1, 1, 1, -1, -1, 2, -1, 0, -1, 0, 2, 0, 1, 0, 0, -1, 0, 4, -1, -2, -1, 2, 0, 0, 0, 1, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1, 1, -1, -1, 4, 0, 0, 0, -2, 0, -1, 1, 1, -2, 1, 0, 1, 0, -2, -1, -2, 0, 0, 1, 0, -2, 0, 4, 1, -2, 0, 0, -2, 0, 0, -1, 2, -2, 0, -2, 0, -1, -1, 0, 1, 0, 1, -1, 0, 1, 4, -1, 0, 0, 1, -1, -1, 2, -1, 0, -1, 0, 2, 0, 1, 0, 0, -1, 0, 2, 0, -2, -1, 4, 1, 0, 0, -1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, -1, 1, 0, -2, 0, 0, 1, 4, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 2, -2, -1, 2, 1, -1, -2, -1, 1, -1, 1, 1, 1, 2, -1, 2, 1, 1, 2, 1, 4, 2, 1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 2, 0, 1, 1, 0, -1, 0, -1, 1, 1, 2, 4, 2, 0, -1, 1, -1, -1, -1, -2, 0, 0, 2, -1, 2, 1, 0, 1, 0, -1, 1, 2, 1, 2, 4, 0, -2, 2, 1, -2, -2, -1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, -2, 0, 0, 0, 4, -1, -1, 0, 0, 1, 1, -1, 0, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, -2, -1, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -2, 0, -2, 0, -2, -2, 2, 1, 1, 2, -1, 0, 4, 0, 0, -1, -1, 1, -1, 0, 2, 1, 1, -1, 2, 1, 0, 1, 1, 0, -1, 1, 0, 0, 0, 4, 0, -2, 0, -1, 0, 1, 1, 0, 1, 1, 1, -1, 2, 0, -1, 0, -1, -2, 0, 1, 0, 0, 4, 0, 0, -1, 1, 0, 0, 1, -1, 1, -1, -1, -1, -1, -2, 0, -1, -2, 1, 0, -1, -2, 0, 6, 0, 2, -1, -2, 0, -1, -1, -2, 0, 2, 1, 0, -1, -1, -2, -1, 1, 0, -1, 0, 0, 0, 4, -1, 0, -2, 0, -2, 0, 1, -1, -1, -1, 0, 1, 0, 0, 0, -1, 0, 1, -1, -1, 2, -1, 4, -2, -1, 1, 0, 1, -2, 1, 2, 1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, -2, 4, 2, 0, 1, -1, 2, -2, -2, -1, -1, 1, 2, 2, 1, -1, 0, 0, 1, 0, -2, -2, -1, 2, 4, 0, 2, 0, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 4, 1, 0, -1, 2, 1, 2, 1, 1, 1, 2, 1, -1, -1, 1, 0, 1, -1, -2, 0, 1, 2, 1, 4, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, -2, 1, 1, -1, -1, 0, 1, -1, 0, 0, 0, 4, 0, 1, 0, 1, 2, -1, 0, 0, 0, 0, 0, -1, 1, 1, -2, 1, -2, 2, 1, -1, 0, 0, 4, -1, -2, -1, -1, 2, -1, 1, 2, -1, -2, 2, 1, -1, 0, -1, 1, -2, 0, 2, 2, 1, -1, 6, 1, 3, 2, 1, 0, 0, 0, -1, 0, 1, -1, -1, 2, -1, 2, -2, -1, 1, 0, 0, -2, 1, 4, 2, 1, 1, -1, -1, 1, 0, -2, 0, 2, -1, 1, -1, 1, -1, 0, 2, 1, 1, -1, 3, 2, 6, 1, 2, 1, 1, 2, 0, -2, 1, 0, -1, 0, 0, 1, -1, 0, 1, 1, 2, -1, 2, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -2, 1, 0, -1, 1, -2, 0, -2, -1, 1, -2, -1, -2, 0, -1, 0, 0, -2, -2, 4, -1, 1, 0, 0, 1, 0, 1, 2, -1, 1, -1, -1, 2, 0, 0, 1, 0, -1, 0, 0, 0, -1, 4, -2, 1, -2, 0, 0, -2, -2, 2, 0, 1, -1, -1, -1, 2, -2, 0, 2, 0, 1, 0, 1, -2, 4, -1, 2, -1, -1, 2, 0, -2, -1, 0, 1, 1, 1, -2, 2, -1, -2, 1, 0, -2, 0, 1, -1, 4, -2, -1, 0, -2, 0, 1, 2, 0, -1, 0, 1, 3, -1, 2, 1, 0, 2, 1, 0, -2, 2, -2, 4, -1, 0, 1, 0, -2, -1, 0, 2, 0, 1, -3, 2, -1, -2, 0, -1, 0, 1, 0, -1, -1, -1, 4, 0, 1, 2, 1, 1, -1, -1, 0, 0, -1, -1, -1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 4, -2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, -2, 2, -2, 1, 1, -2, 6, 0, -2, -2, -1, 0, -1, -1, -3, 2, -2, -2, 1, -2, -2, 2, -2, 0, 0, 0, 2, 0, 0, 6, -1, 2, -1, 0, 1, 1, 0, 1, 1, -1, -1, 0, 0, -1, 2, -2, 1, -2, 1, 0, -2, -1, 4, 1, 0, -2, 0, 0, 1, -2, 0, 2, -1, 1, -2, 1, 0, -1, 2, -1, 1, 1, -2, 2, 1, 4, -1, 0, 1, 2, 1, -1, 2, 1, -1, 2, -1, -1, 1, 0, 0, 0, -1, 1, -1, -1, 0, -1, 4, 0, 0, 0, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, -1, 2, -1, 1, 0, 0, -2, 0, 0, 4, -1, 1, -1, 1, 0, -1, 1, 0, -2, 2, -1, 1, 0, 0, 0, 1, -1, 1, 0, 1, 0, -1, 4, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, 1, 1, 1, 0, 0, -1, 1, 0, 2, 0, 1, 0, 4, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, 3, -3, -1, 2, -3, 0, 1, 1, 1, -1, 0, 0, 6, -1, 2, 1, 1, 2, 0, 1, -2, 2, -1, 2, -1, 0, 2, 1, -2, -1, -1, 1, 0, 0, -1, 4, 0, -2, 1, -1, -1, 0, 0, -1, 2, -1, -1, 1, -2, 1, 0, 2, -1, 0, 1, 0, 2, 0, 4, 0, -1, 1, 0, -1, 2, -2, 1, -2, 1, 0, -2, -1, 2, 1, 0, -1, 0, 0, 1, -2, 0, 4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, -1, 0, 1, 1, -1, 0, 4, 0, -2, 0, 1, 0, 2, -1, 0, 1, -2, 0, 1, 2, 1, 0, 1, 2, 2, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, -1, -1, 2, 2, 1, -1, 2, 1, 0, 0, 1, -1, 1, 2, 1, -2, 2, 1, 4, 0, 1, 2, -1, -2, 1, 2, 2, -2, 2, 2, 1, -1, 1, -1, -1, 1, -1, 0, 1, -1, 0, 4, 2, 0, 0, 0, 0, 0, -2, 0, 0, -1, 1, -1, 1, -1, 0, 0, -2, 1, -1, -1, 1, 2, 4, 0, -1, -1, 0, 0, -1, -1, 1, -1, 0, 0, 1, 0, 0, -1, -2, 2, 0, 2, 2, 0, 0, 4, 0, -2, 2, 2, 2, -1, 2, 2, 0, -1, 2, -2, 1, 2, 0, -2, 2, -1, -1, 0, -1, 0, 4, 1, 0, 0, -1, 1, -1, 1, 1, -1, 1, -1, 0, 1, 1, 1, 0, -1, -2, 0, -1, -2, 1, 4, -2, -1, -2, 2, -2, -1, 1, 1, -1, 1, -1, -1, 1, 0, -1, 2, 1, 0, 0, 2, 0, -2, 4, 2, 0, -2, 2, 0, -1, 0, 2, -2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, -1, 2, 4, 0, -2, 2, 2, 0, 0, 2, -2, 1, 2, 0, 0, 2, 1, 2, -2, -1, 2, -1, -2, 0, 0, 6, -1, 1, 1, 0, 0, -1, -1, 0, 1, 0, -3, 1, -1, -2, 0, -1, -1, 1, 2, -2, -2, -1, 4, -2, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 2, 2, 0, 1, 2, -1, -2, 2, 2, 1, -2, 4, 0, 0, -1, 1, -1, 1, 1, -1, -1, 1, 1, 2, -1, -1, 2, 1, -1, 0, 2, 1, -1, 0, 6, 1, -1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 0, 1, 4, -1, 0, 0, -2, 1, 0, 0, 0, 0, -1, -1, 0, -1, -1, 1, 0, 0, 0, -1, -1, -1, -1, 4, -1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, -1, 2, 2, -1, -1, 1, 1, 0, -1, 4, -1, 1, 1, 0, 1, 2, -1, -1, -1, 0, -2, -1, 1, -2, -2, -1, 1, -1, 0, 0, 0, -1, 4, -1, -2, 0, 1, -1, 1, -1, 0, 0, 1, 0, -1, 2, 1, 0, -1, 1, 0, -2, 0, 1, -1, 4, 1, 0, 0, 1, 2, 1, 0, -1, 2, 1, -1, 2, 2, 1, -1, 1, 2, 1, 0, 1, -2, 1, 4, 0, -1, 2, 1, -1, -2, -2, 0, 1, 1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 4, 0, 1, -2, 0, 1, 2, -2, 1, 0, 0, 0, -3, -1, -1, 0, 0, 0, 1, 1, 0, -1, 0, 6, -1, 2, 1, -1, 0, 2, 0, -1, 2, 2, 1, -1, 1, 1, 0, 1, 2, -1, 1, 2, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 2, -1, 0, -1, 1, 1, 1, -2, -1, 1, 1, 0, 1, -2, 1, 0, 0, -2, -2, 4, -2, -1, -1, 0, 1, 2, 0, 0, -2, 2, 1, 0, -2, -1, 1, 2, 0, 0, 1, 1, 2, -2, 4, 0, 2, 0, -1, -1, 0, -1, 0, -2, 0, 0, 1, 1, -1, -2, -1, 1, -1, -2, 1, -1, 0, 4, 1, -1, 1, -1, 1, 0, 2, 0, -1, 1, 1, 1, 0, 1, 2, -2, 1, 1, 2, -1, 2, 1, 6, -2, -2, -1, -1, -2, 1, -1, 1, 0, -1, -1, 2, -1, 1, 2, -1, 1, -1, 0, 0, -1, -2, 4, 1, -1, 1, 0, 0, 0, -1, 1, -1, 1, -2, 0, -2, 1, -1, 0, 0, 1, -1, 1, -2, 1, 4, 1, 2, 1, -1, 1, 0, 2, 0, 0, 0, 1, 0, -2, 1, 0, -1, 2, -1, -1, -1, -1, 1, 4, 0, 0, -1, 1, 1, -1, 0, -1, 1, 1, 0, -1, 1, -1, 1, 0, 0, 1, -1, 1, 2, 0, 4, 2, -1, 0, 0, 2, 0, 0, -1, 1, 1, 0, 1, 0, 1, 0, -1, 0, -2, 0, 1, 0, 2, 4, -1, 0, 0, 1, 1, -1, 0, 0, 1, 0, 1, 0, 1, -2, 0, 2, 1, 0, -1, -1, -1, -1, 6, 0, -2, -1, 1, 2, 0, 0, 1, 0, 0, -1, -2, 2, -2, 0, -1, 0, 1, 1, 0, 0, 0, 4, 0, -1, -1, 0, 0, 2, 0, -1, 0, 1, -1, 1, 0, -1, 1, -1, 0, 1, 0, 0, -2, 0, 4, 0, 0, -2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, -1, 2, 1, -1, -1, 0, 4, -1, 0, 0, 0, 0, 0, 1, 1, 1, -2, 1, 1, -1, -1, 0, 0, 0, 1, 1, -1, 0, -1, 4, 0, -1, -1, 1, -1, 0, -1, 0, -1, 1, 1, -1, 1, 0, -1, 0, -1, 2, 0, -2, 0, 0, 4, -1, 0, -1, -1, 0, -1, 1, 1, -1, 0, 2, -2, 0, 1, -1, 0, 0, 0, 1, 0, -1, -1, 4, 0, 1, 0, 1, 1, -2, 2, -2, 1, -1, 0, 1, 1, 1, 0, 0, 2, 1, 0, -1, 0, 0, 4, 1, 0, 2, 2, 1, 0, -1, 2, 1, -2, 0, 0, 1, 1, 1, 0, 0, 0, 1, -1, 1, 1, 4, -1, 1, 1, 0, 0, 1, -2, 2, 1, -2, -1, 0, 0, 0, -1, 2, 0, -1, -1, 0, 0, -1, 6, 0, 1, 0, 1, -1, 1, -1, -1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 4, 0, -2, 1, -2, 1, 1, 0, 0, -1, 0, 0, -1, 1, 2, 1, -1, -1, 1, 2, 1, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 0, 1, 0, -1, -1, -2, -2, -2, -1, 1, 1, -1, 1, 1, -1, -2, -2, -1, -1, 4, -2, -1, 1, 0, -1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, -2, 6, 0, -2, 2, 2, -3, -3, -2, -1, -1, 1, 2, -2, 1, 1, -1, -2, -1, -1, -1, 1, -1, 0, 4, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, 1, -1, 0, 1, 0, 0, 1, -2, -1, 4, -1, -2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, -1, 1, 0, 2, 0, -1, 4, 0, -1, -1, 0, -1, -1, -1, 2, -1, 0, 0, 1, 0, -1, 1, 0, 0, -1, 2, 1, -2, 0, 4, -2, -1, 0, 0, 0, 1, 0, -1, 1, 1, 0, -2, 0, 1, -1, -1, 2, -3, 0, 1, -1, -2, 4, 1, 0, 0, 1, 0, 0, 1, 0, -1, 1, 2, 1, 1, 2, -1, 2, -3, 0, 1, -1, -1, 1, 4, 2, 1, 0, 0, -2, 1, -1, 0, 1, 0, 0, 1, 1, -2, 1, -2, 0, 1, 0, 0, 0, 2, 4, 2, 1, 0, -1, 0, 1, 0, 0, 0, 1, 2, 0, -2, 0, -1, 0, 0, -1, 0, 0, 1, 2, 4, 2, 0, -2, -1, 1, 0, 0, 0, 0, 1, 0, -2, 1, -1, 0, 0, -1, 0, 1, 0, 1, 2, 4, 1, -1, 0, 1, -1, -1, 0, 2, 0, 1, -1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 4, 0, 0, 0, -1, -2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, -2, -1, -2, -1, 0, 4, -1, 1, 0, 0, 0, 0, 1, 0, 1, 1, -2, -1, 2, -1, -1, 1, 1, 0, -1, 0, 0, -1, 4, -2, 0, 0, 1, 0, -2, 0, -1, 0, 1, 1, 0, 0, 1, 0, -1, 1, 1, 1, 0, 1, -2, 4, 1, 0, -1, 1, 2, 0, 1, 1, 1, -1, 0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, 1, 4, 1, -1, -1, 0, -1, 1, 1, -1, 1, 0, 1, 0, 1, 1, 0, 0, -1, -2, 0, 0, 0, 1, 4, 0, -1, 2, 0, -1, 1, -2, -1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 4, 0, 0, 1, -2, 1, -1, 0, 0, -1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, -1, -1, 0, 4, 1, 1, -2, 1, -1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, -2, 2, 0, 2, 0, 1, 6, 0, -1, 1, -1, 0, -1, 0, -1, 2, 1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -2, 1, 0, 0, 1, -2, 1, -1, 2, -1, -2, -1, 1, -1, 0, 1, 0, 2, 1, 4, 0, 1, -2, 0, -1, 1, 0, 0, 2, 0, 2, 0, -2, -1, -1, -2, 1, 2, 0, 2, 2, 0, 4, -1, -2, 0, -1, -1, 0, -1, 1, -1, 0, -1, 0, 1, 2, -1, 0, 1, -1, 2, 1, 1, -1, 4, 1, 1, 0, 2, -1, 1, 1, -1, 2, -1, -2, 0, -1, -1, 1, 1, 1, -1, -2, -2, -2, 1, 6, 0, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, -2, 0, 1, 0, 0, -1, 1, 0, 0, 1, 0, 4, -1, -1, -1, -2, 0, 1, -1, 1, 1, 1, -1, 0, 0, 0, 2, 1, 0, -1, -1, 0, 2, -1, 4, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 0, 1, -1, 2, 1, -1, 0, 4, 1, 1, 1, -1, 3, -1, -3, -1, -1, -1, 1, 1, -1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 4, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 0, -1, 2, -2, 0, -1, 1, 1, -2, -1, 1, 0, 6, -1, -1, 1, -1, -1, 0, 1, 1, 1, -1, 0, -2, 1, 2, 1, 1, 0, 0, 0, 1, 0, -1, 4, -1, 2, 0, -1, 0, -1, -2, 1, 2, -1, 2, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, -1, 4, -2, 2, 1, 0, -1, 0, -1, -1, 1, 0, 2, 2, 0, 2, 0, -1, 0, 3, 2, 1, 2, -2, 6, -2, -3, -2, 0, -2, 2, 2, -1, 2, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, 0, 2, -2, 4, 1, 0, -1, 1, -1, -1, 1, 0, -2, -2, 0, -2, 0, 1, 0, -3, -2, -1, -1, 1, -3, 1, 6, 1, 0, 1, 0, -1, 0, -1, -1, -1, 1, 0, 1, 1, -1, -1, -2, 0, 0, 0, -2, 0, 1, 4, 1, 0, -1, 0, 1, 0, 1, -1, 2, -1, -2, -1, -1, -1, 0, 1, -1, -1, 0, -1, 0, 1, 4, 1, -1, -1, 0, 0, -1, -2, -1, -1, 0, 0, 0, -1, 0, 1, -2, 0, -2, 1, 1, 0, 1, 4, -1, -2, 1, -2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, -1, 2, -1, 0, -1, -1, -1, 4, 1, -1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, -1, 2, -1, 2, -1, -1, 0, -1, -2, 1, 4, 0, 2, 0, 0, -1, 1, 0, 2, -1, -1, -1, 0, -1, 1, -1, 1, 0, 1, 0, 1, -1, 0, 4, -1, 2, 2, 2, -1, -1, 1, -1, 0, 2, -2, 2, 0, 2, 0, -1, 0, 0, -2, 1, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 0, -2, -1, 2, -2, 1, 1, 2, 0, 0, 1, -1, -1, 1, 0, 0, -2, -1, 0, 4, -2, 0, 1, 1, -1, -1, 1, 2, 2, -2, 0, 0, 0, 2, 0, 2, -2, 0, -2, 0, 1, -2, 4, 1, -1, -1, 1, 2, 0, -2, 0, 2, 0, 0, 1, -2, 1, -2, 0, 0, 1, 1, -1, 0, 1, 4, -1, 1, 2, 1, 0, -1, -1, -1, 1, -1, 0, 0, 1, -1, 1, -1, 0, 2, 0, 1, -1, -1, 4, 0, 0, 0, 0, 0, 2, 1, 1, -1, 1, 1, -1, 0, -2, -1, 1, 0, -2, 1, -1, 1, 0, 4, 1, -1, 1, 0, -1, -2, 1, -1, -1, 0, 1, 1, 1, -1, 0, 1, -1, -1, 1, 2, 0, 1, 4, 1, 0, -2, -1, -1, 0, -1, -1, -1, 0, -1, 0, -1, 1, 1, 2, -1, 2, 1, 0, -1, 1, 4, -2, 0, 1, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, -2, 1, 0, 0, 0, 1, 0, -2, 4, 0, 0, -1, 0, 0, 0, 1, 2, 0, -2, 0, 1, 1, 1, 2, -2, -1, 0, 0, -2, 0, 0, 4, 1, -1, 0, 0, 0, 1, 0, 2, 0, 0, -2, 0, 1, 2, 0, -1, 2, -1, -1, 1, 0, 1, 4, 0, 0, 0, 1, 1, -1, 0, -3, 0, -1, 0, 2, -2, 2, -1, 1, -2, -1, 1, -1, -1, 0, 6, 0, -1, 2, -1, 0, -1, 1, -1, 2, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, -2, 0, -1, 1, 0, 1, -2, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, -1, -2, 4, 0, 1, 0, 0, -1, 2, -1, 0, 1, 0, 1, 0, 1, -1, -1, 0, 0, 0, 1, 2, 0, 0, 4, 1, 0, -1, 0, 0, 1, 1, -1, 2, -2, 0, 1, 0, -1, -1, 1, 1, 1, -1, -1, 1, 1, 4, -1, 0, -1, 1, 0, 1, -1, 0, 1, 1, -1, 1, 0, -1, 2, 0, -1, 0, 1, 0, 0, -1, 4, 0, 0, -1, 1, 1, 1, 2, -2, -1, 0, 1, -1, -1, 0, 2, 0, -1, 0, 0, -1, 0, 0, 4, 0, 0, -2, -1, 0, -2, 0, 1, -2, 1, 0, 0, -2, 0, -3, 1, 1, -1, 0, -1, 0, 0, 6, -1, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, -1, -2, 2, 0, 1, -1, 0, -1, 4, 0, 0, -2, -2, 1, 0, 1, 0, 1, -1, 1, -2, -1, 2, 1, -1, 1, 0, 1, -2, 1, 0, 6, 0, -1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, -1, 0, 0, 1, 1, 1, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, 1, -2, -1, 1, -1, -2, -1, 1, 1, 1, -2, -2, 2, -1, 2, -2, 0, 1, 4, -2, 2, -1, -1, -2, 1, 2, 1, -1, 0, 1, -1, 0, 0, 0, -1, 0, -1, -2, 1, -1, -2, 4, -2, 1, 1, 1, -1, -2, -1, 1, 0, -1, 1, 0, 0, -1, 1, -1, -1, 1, 1, 1, 2, -2, 4, -2, 0, -2, 0, 2, 1, -1, 1, 2, 0, -1, -1, 1, -1, 1, 1, 0, 0, -2, -1, 1, -2, 4, 0, 1, 0, -1, 1, 2, 1, -1, 0, -1, 2, 1, -1, 1, -2, 0, 0, 1, -1, 1, 0, 0, 4, 1, -1, -1, -2, 1, 0, 1, 0, -1, 0, -1, 1, 0, 2, -1, -1, -2, -2, 1, -2, 1, 1, 6, -1, -2, -1, 2, 1, 0, -1, 0, 2, 0, 0, 0, 1, 0, -1, -1, 1, -1, 0, 0, -1, -1, 4, 0, 0, 1, 0, 0, -2, 1, 1, 0, -1, 1, -1, 1, -1, 1, 2, -2, 2, -1, -1, -2, 0, 4, 2, -2, 1, 0, 0, 0, -1, 1, -1, 0, 1, -1, 0, -1, 1, -1, 1, 1, -2, -1, 0, 2, 4, -1, 2, 0, 0, 0, 1, 2, -2, 0, -1, 1, 0, -2, -1, 1, -1, 2, 1, 2, 1, -2, -1, 4, 1, 0, -1, -1, 2, 0, -1, 1, -1, 0, 0, -1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 4, 1, 0, 0, 1, 1, -2, 1, 0, 0, 0, 1, 1, -1, 2, -1, 1, 0, 0, 0, 0, 0, 1, 4, -1, -1, 0, 0, -1, 1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, -2, 0, 0, -1, 0, -1, 4, 1, -1, 0, 1, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 1, 0, 0, -1, 0, -1, 1, 4, 0, -1, 1, -1, 1, 0, 0, -2, 0, 0, -1, 2, 0, 2, 1, -1, 1, 2, 1, 0, -1, 0, 4, 1, -1, 1, -1, 1, 0, -2, 0, -1, 1, 1, -1, 0, 0, 1, 2, 0, 1, 0, 0, -1, 1, 4, -2, 2, -1, 2, 0, 2, -1, 1, -1, -1, 1, 0, -1, -1, -2, -1, -2, -1, 1, 1, -1, -2, 4, -1, 2, 0, 0, -1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, -1, 1, 2, -1, 4, -1, 1, 0, 2, -1, -1, 1, -2, 2, 1, -1, 1, -1, -1, 0, 0, 1, 1, -1, -1, 2, -1, 6, 0, -2, -2, -2, 1, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 6, -1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 2, 2, -1, 0, 0, 2, 0, -1, 2, 0, 1, -1, 1, -1, 0, 1, 0, 0, -2, -1, 4, 1, -2, -1, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, 1, -1, 1, -2, -1, 1, 2, -1, 1, 6, 2, -2, 3, -1, 1, 1, 2, -2, 1, 2, 0, -2, -2, 2, 1, -1, -1, -2, -2, 2, -2, 2, 6, 0, 0, 1, 2, 2, 2, -2, 2, 2, -1, 0, -2, 2, 1, 0, -1, -2, -3, 2, -1, -2, 0, 4, -1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 2, -1, 0, 0, 0, 0, -1, -1, 0, 3, 0, -1, 4, -2, -1, 0, 0, -1, 0, 1, -1, -1, -1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 1, 0, -2, 4, 2, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 1, 2, 0, -1, 2, 4, 0, 2, -1, 0, 1, 0, 0, 0, 0, 2, -2, -2, -1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 4, 0, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 0, -1, 2, 2, -1, 0, 1, 2, 0, 4, -1, 1, 1, -1, 0, -1, 1, 1, 0, -1, -1, -2, -1, 1, -2, -2, -1, -1, 1, -1, -1, -1, 4, -1, -1, -1, 1, 1, 0, -1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, -1, 4, -1, 1, -1, 0, 0, 1, 0, -1, 0, -2, 0, -1, 2, 2, 0, 1, -1, 1, 1, 1, -1, -1, 4, -1, 0, -1, 1, 0, 0, 0, -2, -1, 1, 1, 0, -1, 1, -1, 0, 0, 1, -1, -1, 1, -1, 4, -1, 1, -2, 1, 0, -1, 1, 0, -1, -1, -2, 0, 0, -1, 0, 0, -1, 0, 1, -1, 0, -1, 4, 0, 0, -1, 0, 0, 0, 1, 1, 1, -2, -2, 2, -1, 0, 0, -1, -1, 1, 0, -1, 1, 0, 4, -1, 0, -1, 0, 1, 1, -1, -1, 2, 2, -1, 1, 0, 0, -1, 1, 0, 0, 1, -2, 0, -1, 4, -1, 0, 1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, -1, 1, 0, 1, -1, 0, -1, 4, -1, -2, 0, 0, 1, -2, -1, 0, 0, 0, -1, -2, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 4, 1, 0, -1, 0, -1, -1, -1, 0, 0, -1, -2, -1, -1, 1, -1, 0, -1, 0, 0, 1, -2, 1, 4, 1, 0, 0, 1, -2, -2, 0, -1, 1, -1, -1, -1, 1, 0, -2, 1, 0, 1, -1, 0, 0, 1, 4, 1, -2, 2, -2, -3, -1, -1, 0, 0, -1, -2, 1, -2, -1, 0, 1, 1, -1, 0, -1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, -1, 1, -1, 1, 1, 1, 0, -1, -1, 1, -1, 1, -2, 1, 1, 2, 1, 4, 0, -2, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, 0, -2, -1, -1, 2, 2, 1, -1, 0, 4, -1, 0, 0, -1, 1, -1, 0, 0, -1, 0, 2, 2, 0, 1, -1, -1, 1, 1, 0, -1, -2, -1, 4, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 2, 1, 0, -2, -1, 0, 1, 0, 0, 1, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 2, 0, 0, 0, 0, 4, 0, 0, -2, 2, 1, 1, -1, 0, -1, 1, 1, 1, -1, 0, 1, 2, -1, -1, -1, 0, 0, 0, 4, -2, 2, 0, -1, 0, 1, 0, 0, 1, -1, 0, 2, 0, -2, -1, 1, 1, 1, 0, 2, 0, -2, 4, -2, 0, 0, 0, -1, 0, 1, -1, 0, 0, -2, 0, 0, 1, -1, -1, -1, 0, 0, -2, 2, -2, 4, -1, 0, 0, 2, 0, 0, 0, -1, 0, 2, 0, -1, -1, 1, 0, 0, 0, 0, 2, 0, 0, -1, 4, 2, -1, -2, 0, 1, -1, -1, -1, -2, 0, 2, 1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 2, 4, -1, 0, 0, 1, 0, -1, -1, -2, 0, 1, 1, 1, 0, -1, -1, 0, 1, 0, 0, 0, -1, -1, 4, 1, 1, -3, 1, 0, 1, 1, -1, -1, 0, 0, 0, 0, -1, 0, -1, 1, -1, 2, -2, 0, 1, 4, 1, -1, 2, 0, 0, 1, 1, -2, 0, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, -1, 1, 1, 0, 0, 0, 0, 0, -1, 1, 2, 0, 0, -1, 0, 1, 0, 1, 1, -3, -1, -1, 6, -2, -2, -3, -1, 1, 1, 0, 1, 0, 0, -1, 0, 1, 1, -1, 0, -1, 0, 1, 2, 1, -2, 4, 1, 1, 0, 1, -1, 1, -1, -2, 1, 2, -1, 1, -1, 0, -1, -1, -1, 0, 0, 1, -2, 1, 6, 2, 0, -1, 0, 1, 1, -1, -1, 1, 1, 1, 0, 0, 0, -1, -1, 1, 0, 0, -3, 1, 2, 4, 1, 0, 0, 1, -2, -1, -1, 0, 0, -1, 2, -2, 2, -2, -2, 1, 1, 0, -1, 0, 0, 1, 6, -1, -2, -1, 1, 2, 1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, 0, -1, 4, 2, 1, 1, 2, 1, -1, -1, 1, -2, 0, -1, 2, 1, -1, -2, 0, 1, -1, 0, 0, -2, 2, 6, 1, 2, 1, 0, 0, 1, 2, -1, 1, -1, 1, 1, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, -2, -1, -1, -1, 0, 2, -1, 2, -1, 0, 2, -2, -2, 1, 1, 0, -1, -1, 1, 4, 0, 2, -1, -2, 0, 1, 1, 2, -1, 2, 1, 1, 1, -1, -2, 2, 0, 1, -1, -1, 1, 0, 4, -1, -2, -2, -2, 1, 1, 2, -1, 2, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 2, -1, 4, -1, 0, 1, -1, -1, 1, -1, 1, 0, -1, 0, 0, -1, 2, -1, -1, -1, -1, -2, -1, -2, -1, 4, 2, 2, 1, -1, -1, 2, -1, 1, -1, -1, 2, 0, -1, 0, -1, 2, 1, -1, -2, -2, 0, 2, 4, 2, -1, -1, -1, 1, -1, 0, -1, -1, 1, 1, -1, -1, -1, 1, 0, -1, 0, -2, 1, 2, 2, 4, 0, -1, -1, 1, -1, 0, -1, -1, 1, -1, 1, -1, -1, 1, 0, -1, 1, 1, -1, 1, -1, 0, 4, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 1, 1, -1, -1, -1, -1, 1, 4, 1, 0, 1, -1, 2, 0, -1, 0, 0, 1, 2, -1, -1, 2, 2, 2, 1, -1, -1, -1, 0, 1, 6, -2, 3, 0, 0, 2, -1, -2, 2, 2, 0, -1, -1, -1, -1, -1, -1, 2, 1, 1, 1, 0, -2, 4, -2, 1, -1, -2, 2, 0, -1, -1, -1, 2, 1, 2, 2, 2, 1, -1, -1, -1, 0, 1, 3, -2, 6, 0, 1, 2, -1, 0, 2, 2, 1, -2, -1, -1, 1, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 4, -1, 0, 1, 0, 0, 0, -1, 1, 2, 0, 1, 1, -1, -1, -1, -1, 1, 2, 0, -1, 1, -1, 4, 1, -1, 1, 0, 0, 2, -1, -1, 2, 1, 1, 0, -1, -1, -1, 0, 0, 2, -2, 2, 0, 1, 4, -1, -1, 0, 2, 1, 0, 0, -2, -1, -1, 0, 2, 1, 1, 0, -1, -1, 2, -1, 1, -1, -1, 4, 0, -1, 0, -1, 2, 2, -2, -2, 1, -1, 0, 1, -1, 1, 0, -2, 0, 0, 0, 1, -1, 0, 6, -1, -1, 0, 0, 0, 1, 2, 1, 2, -1, -1, 1, 0, 0, 2, -1, 2, 0, 0, 0, -1, -1, 4, 0, 0, -1, -1, 1, 0, 1, -1, 0, -1, -1, 0, 1, 2, -1, 2, 0, 0, 2, 0, -1, 0, 4, 0, 0, 1, 0, 1, 1, -1, -1, -1, -1, 1, 2, 0, -1, 1, -1, 2, 1, -1, 0, 0, 0, 4, 0, -1, -1, -1, -1, -1, 2, 1, 1, 1, -1, -1, 2, -2, 1, -1, 0, 2, 0, -1, 0, 0, 4, 1, -1, -1, -1, -1, 1, 0, 0, -1, -1, -1, 1, -1, 2, -1, 0, 2, 0, -1, 1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 0, 2, 1, 0, -2, 1, -1, 2, -1, -2, -1, 2, 2, 1, -2, 1, 1, -2, 4, 2, -1, 1, 1, -1, 0, 1, 2, -2, 1, 0, 0, 2, 0, -2, -2, -1, 2, -1, 1, -2, 2, 4, 0, 2, -1, -1, 0, 0, 2, -2, 0, -2, 0, 0, 1, 0, -2, -1, 2, -1, -1, 1, -1, 0, 4, 0, -2, -1, 1, 1, 0, 2, -1, -1, 1, 0, 1, 2, 0, 1, 0, 0, 1, -1, 1, 2, 0, 4, 1, 1, 0, 0, 1, -1, 0, -1, 0, 0, 2, 0, -1, -2, 1, -2, 1, 0, 1, -1, -2, 1, 4, 1, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, 0, 2, 2, -1, -1, -1, 1, 1, 6, 2, -1, -1, -2, 1, 3, -2, -3, 1, 0, 1, -1, -1, -1, 2, 1, 0, 0, 1, 0, -1, 2, 4, -1, -1, -1, 1, 2, 0, -2, 0, 0, 1, 0, -1, -1, 2, 0, 1, 0, 1, 0, 0, -1, -1, 4, 0, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -2, 2, 2, 0, 1, 0, -1, -1, 0, 4, -1, 0, -1, 1, 2, 1, -1, -2, -1, 2, -1, 0, 1, -2, -2, 2, -1, 0, -2, -1, 0, -1, 6, 0, -1, 0, 1, -1, 1, 1, 2, -1, 2, 1, -1, 1, 0, -1, 0, 0, 1, 1, -1, 0, 0, 4, 0, -1, 0, 0, -2, -1, -1, 0, 0, 1, 2, 0, -2, -1, -1, 2, 3, 2, 0, -1, -1, 0, 6, -1, -1, -1, 0, 1, 1, -1, 0, 3, -1, 0, 0, 1, 0, 0, -2, 0, 0, 1, 0, -1, -1, 4, 0, 1, 0, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, -3, -2, 1, 2, 1, 0, -1, 0, 6, -1, -2, -2, 1, 2, -1, 0, -1, 0, 1, 1, 2, 0, 1, 0, 0, 1, -1, 0, -1, 1, -1, 4, 1, -1, -2, 1, -1, 1, 2, -2, 0, 2, 0, -1, 0, 0, 1, -1, 1, -2, 0, 0, -2, 1, 4, 1, 1, -1, 1, 0, 2, -2, -2, 0, -1, 0, 1, 1, 0, -2, 1, -1, 1, 0, -2, -1, 1, 4, 1, -2, 1, 0, 1, -1, -1, 1, -2, -1, -1, 0, 1, -1, 2, -1, 1, -1, 1, -2, 1, 1, 4, -1, 1, 0, -2, 2, 2, 0, 1, 0, -1, -1, 0, 2, -1, 0, -1, 0, 2, 1, -1, -2, -1, 4, 0, 0, 1, -1, -1, 0, -2, 0, -1, -1, 0, -1, 2, 0, 0, 0, -1, -1, 1, 1, 1, 0, 4, -1, 1, 1, -1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 3, 0, 0, 1, 0, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, -1, -1, -1, 0, -1, -1, 1, -2, -1, 2, 1, 4, 1, 0, -1, 1, 2, 2, -1, 0, 1, 2, 0, -2, -2, 1, 0, 0, 2, -2, 0, 0, 1, 1, 4, 2, 0, 0, 0, -1, 1, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, -2, 1, 1, 1, 0, 2, 6, -2, 2, 1, 0, -1, 2, 2, 1, -1, 1, 1, -2, 0, 0, 2, -3, 2, 0, 0, -1, 0, -2, 4, -2, -1, -2, 2, -1, -2, -1, 0, 0, -1, 1, 0, -1, 0, 1, -1, 1, 1, 1, 0, 2, -2, 4, 2, 1, -2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, -2, 0, 0, 2, 2, 0, 1, -1, 2, 4, 2, -1, 0, 1, 2, 0, 0, -1, 0, -1, -1, 2, -1, 0, 0, 1, 2, -1, 0, -2, 1, 2, 4, -2, 0, 1, 2, 0, 0, -1, -1, 0, 0, 1, -1, 0, -1, 0, -1, 1, -1, 2, -2, -1, -2, 4, -1, -2, -1, 0, 0, 0, 0, 0, -1, -1, 1, -1, 1, 1, 0, 1, 2, -1, 0, 0, 0, -1, 4, 0, 0, -1, 0, -1, -1, 0, -1, 0, -1, 1, 0, 1, 1, 0, 2, -2, 2, 1, 1, -2, 0, 4, 2, 0, 0, 1, 0, 0, 1, 1, -2, 0, 0, 2, 2, 0, 1, -1, 1, 2, 2, -1, 0, 2, 4, 0, 0, -1, 0, 0, -1, 2, -1, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, -2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, 1, -1, 0, 1, 0, -2, -1, -2, -1, 1, -1, 1, -1, -1, 0, -1, 1, -1, 0, 1, 4, -1, 0, 1, -1, 0, 0, 0, 0, 1, 1, -2, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, -1, 4, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 1, -1, 0, -1, -1, 1, -1, 1, -1, 1, 0, 0, 4, -1, -1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, -1, 0, 1, 2, 0, 0, -1, 0, 0, -1, 4, -2, 1, 0, -2, -2, -2, -3, 1, -2, -1, -1, 1, -1, -2, -1, 1, 1, 0, 0, 0, -1, -2, 6, 1, -1, -1, 0, 1, 2, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 1, 4, -1, 2, 0, 1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -2, 0, 0, -1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, 2, -2, -1, -2, -2, -2, 1, 0, 2, 0, 2, 0, 1, -1, 1, 0, -1, -2, 2, 4, -2, 1, 1, -2, -2, -2, -2, -2, 1, 0, 1, 1, 2, 0, 0, -2, 1, 0, -1, -2, -2, -2, 4, 1, -2, 2, 0, 2, 2, 2, -1, 1, 0, -1, 0, 1, -1, 2, -2, 1, 0, 2, 0, 1, 1, 4, -1, 1, -2, 1, -1, -1, 1, 0, 2, -1, 0, 2, -2, 1, -1, 1, -1, -1, 2, 1, -2, -1, 4, -2, 0, -2, -1, -1, 0, -1, 0, 1, 1, 0, 1, 0, 1, -1, 0, 0, -2, -2, 2, 1, -2, 4, 1, 2, 1, 2, -1, 0, -1, -1, -1, 0, -1, 2, -2, 0, 0, 0, -1, -2, 0, -2, 0, 1, 4, 0, 0, 2, 0, 0, -1, -1, -2, -2, 0, 0, 0, -1, 1, 1, -2, -2, 2, 1, -2, 2, 0, 4, 2, 1, -1, 0, 0, 0, -2, 1, -1, 2, -2, 0, 0, 0, -2, -2, 2, -1, -1, 1, 0, 2, 4, 2, -1, 0, -2, 1, 0, 1, 0, 2, -1, 0, 1, 2, -2, -2, 2, -1, -1, 2, 2, 1, 2, 4, -1, 0, -1, -1, -1, -1, 0, 2, -1, 0, 1, 2, 1, 1, -1, 1, 0, -1, 0, -1, -1, -1, 4, -1, 2, -1, -1, 1, -1, 0, 1, 1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 4, -1, 0, 2, 0, 0, -2, 0, 0, -1, 1, 2, 1, 0, 2, 0, -1, -1, 0, -2, -1, 2, -1, 6, -1, 0, 0, -1, 1, -1, 2, -2, -2, 0, 1, -1, -1, 1, -1, -1, 0, 1, -1, -1, 0, -1, 4, 2, 0, 1, 0, 0, 0, 0, -1, 2, 2, 0, 0, 1, -1, -2, -2, 0, -1, -1, 2, 0, 2, 6, 0, 1, -1, 0, 1, -1, -1, 0, 0, 1, 2, 0, 0, -2, 1, 1, -1, 1, 0, 0, 0, 0, 4, -1, 1, 0, 1, 0, 1, 1, 0, -1, -2, 1, -1, 0, -1, 0, 0, -1, 0, -1, 1, 1, -1, 4, 0, 2, -1, 1, -1, -1, -2, 2, 1, 0, 2, 0, 2, 2, 2, 0, -2, 1, 0, -1, 1, 0, 6, -2, 0, 0, 1, 1, 1, -2, -1, 1, -2, 0, -2, -1, -1, 1, 0, -1, 0, 0, 0, 2, -2, 4, -1, 1, 0, 0, 0, 1, 1, -1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 1, 1, -1, 0, -1, 4, 0, 0, -1, -1, 0, -1, 0, 0, 1, 0, 1, 1, -1, -1, -2, 0, -1, 0, 1, 0, 1, 0, 4, 0, -2, -2, 2, -1, 0, 0, 1, 0, 2, 2, 0, 1, -2, -1, -1, 1, -1, 1, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 2, -2, 1, -1, -2, 1, 2, -1, -1, 0, -1, -1, 1, -1, -1, 1, 1, -2, 1, 4, 2, -1, 0, 1, 1, -2, -2, 2, 0, -2, 0, 0, 1, 1, -1, -1, 0, 1, 2, -2, 2, 2, 4, -1, 0, -1, 1, -2, -2, 2, 1, -2, 0, 0, -1, -1, 1, -1, 0, 1, 2, -1, 1, -1, -1, 4, 2, 0, -1, 1, -1, 0, 1, 1, 0, 1, 1, 0, 0, -1, 0, 1, -1, 1, 2, 0, 0, 2, 4, 0, -1, -1, -2, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, -2, 1, -1, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 0, 4, 0, 1, 1, 1, 0, -2, 1, -2, -1, 0, 1, -2, -1, 0, -2, -1, -2, -2, 1, -1, 0, 0, 6, 0, -1, 1, 3, 1, 2, 1, -1, 1, 2, -2, -2, -3, 2, -2, -2, -2, -1, -2, 0, 1, 0, 6, -2, 0, 1, -1, -1, -2, 0, 0, 2, -1, -2, -1, -1, 1, 2, 2, 0, 0, 0, 1, -1, -2, 4, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 2, 0, 1, 1, 0, -2, 1, 1, 0, 1, 4, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, -2, -1, -2, -2, 1, 0, 0, 0, 3, 1, -2, 0, 4, 0, 1, 1, -1, 0, 1, -1, -1, -2, 2, -1, 0, 0, 0, 0, 0, -2, 1, -1, 1, 0, 0, 4, 1, 1, 0, 1, 1, 1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, -1, 1, 1, 1, 1, 4, 1, -1, 0, 0, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -2, 1, -2, 0, 0, 1, 1, 1, 6, 0, -2, -1, 1, 1, -1, 2, -1, 1, -1, 0, -1, 1, -1, -1, 0, 0, -1, -1, 0, -1, 0, 4, -1, -1, 1, 1, 1, 0, 1, -1, 1, 0, 1, -1, 0, 1, 0, 0, 1, 0, 1, 0, -2, -1, 4, 1, -1, -1, 0, 0, -1, -1, -1, -1, -1, 0, 1, 2, 2, 0, 0, 1, 1, 0, -1, -1, 1, 4, -1, -2, -1, 0, -1, 0, 0, 0, 0, 0, -2, -2, -1, 0, -1, -1, 1, -1, 1, 1, -1, -1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, -1, -2, -2, 0, 0, -1, -1, -1, 1, 1, -1, -2, 1, 4, 2, 0, 1, 2, 2, -1, 0, 0, 0, -3, -1, 1, 0, -2, 0, -1, -1, 1, 0, -1, 1, 2, 4, -2, -2, -2, -1, 1, 0, 1, -2, 2, -1, -1, -2, 2, 1, 1, 2, 0, 0, 0, 1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 0, -2, 4, -2, 2, 1, -1, 1, -2, 0, 1, 0, -2, -1, 0, -1, -1, -1, 1, -1, 0, 1, 1, 2, -2, 4, -2, -1, 0, -1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, -2, 2, -2, 4, 1, 0, 2, 0, -1, -1, -1, -1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, -1, 1, 4, -1, 2, -1, -1, -1, -1, 1, 0, -1, 0, 1, 1, 0, 0, -1, -1, 2, 1, -1, 0, 0, -1, 4, 0, 0, -1, 0, -1, -1, -1, -1, -1, 0, 0, 1, 2, -1, 0, 0, -1, 1, -1, 2, 2, 0, 4, 0, -2, -2, -2, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 2, 1, -2, 2, 0, -1, 0, 0, 4, 1, -1, -1, 1, 2, 1, 2, 1, 1, 0, 1, 1, -1, 0, 1, 0, 1, -1, -1, -1, -2, 1, 4, 2, 1, 0, 1, 1, 1, 1, 1, 0, -1, 1, -1, 0, 1, 1, 0, -1, -1, 0, -2, -1, 2, 4, 1, -2, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, -1, -1, -1, -2, -1, 1, 1, 4, 0, 1, 0, 1, -1, -1, 0, -1, 0, 1, -2, 1, -2, 1, -1, 1, -1, 1, 1, 0, -2, 0, 4, 1, 0, 1, 1, 1, 0, 0, 0, -1, 0, 1, -1, 1, 0, 0, -1, 0, 2, 1, -1, 1, 1, 4, 0, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 4, 1, 0, 1, 0, -1, 2, -1, -1, 1, -1, 1, 0, 0, -1, 0, 2, 1, -1, 1, 1, 2, 1, 4, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 0, 0, 1, 4, 2, 0, 0, 1, -2, 1, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 1, 1, 0, 2, 4, 0, 0, 1, -2, 1, -1, 1, -1, 2, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 1, -1, 0, 0, 0, 2, 0, 1, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 4, -1, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, -1, 4, 0, -1, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 1, -1, 0, -1, 0, -2, -2, 0, 0, 0, 4, -1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, -2, 0, 0, -1, 0, 1, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, -1, 0, 1, 0, 1, -1, 1, 2, -1, -2, -1, 1, -2, -1, -1, 0, -2, 4, -2, 2, 1, 1, 0, 1, -1, -1, 0, 0, -1, 0, 2, 2, 1, 0, 2, -1, 0, 1, 2, -2, 4, -2, -1, -1, 0, -1, 0, 1, 0, -1, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, -2, 2, -2, 4, 1, 2, 0, 0, -1, -1, -1, 0, 0, -1, 1, 2, 1, -1, 2, 1, 1, 1, 0, 1, -1, 1, 4, 2, -2, 0, 1, 1, -1, 1, -1, -1, 2, 0, 2, -1, 1, 1, 1, 2, -1, 1, -1, 2, 2, 4, 0, 0, 1, 1, -2, 0, 0, -2, 2, 1, 2, -2, 1, 2, 2, 2, -1, 0, 0, 0, -2, 0, 4, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 4, -1, -1, 0, 1, 1, 1, 1, 1, 1, 0, -1, -2, 0, 1, 1, -1, 0, -1, 1, 1, -1, -1, 4, 2, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 1, 0, 0, -1, 1, -1, 1, 1, -1, -1, 2, 4, -1, 0, -1, -2, -1, 0, 0, -1, 0, 2, 1, 0, 1, 0, 0, -1, -1, -2, 0, 0, 0, -1, 4, -1, -1, 2, -2, 0, -1, 2, -1, -1, -2, -1, -1, 0, -1, 0, 1, 0, 0, 1, 0, 0, -1, 4, -1, 0, 2, 0, 2, -1, 0, -1, 1, 1, 1, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, -1, 4, 0, -1, 0, -1, 0, -1, 0, 0, -1, 2, 0, 0, -1, -1, -2, 0, 1, 0, -2, 2, 0, 0, 4, 0, -1, -1, 1, -1, -3, -1, 0, -1, 2, -1, 1, 2, 2, 0, 1, -1, -1, -2, 2, -1, 0, 6, 1, 2, -2, 2, 0, 2, 3, -2, 2, -1, 2, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 1, 4, 0, -1, 2, 1, 1, 1, -1, 1, -1, 1, 2, 2, 0, 1, 0, 0, -1, 2, -1, -1, 2, 0, 4, -1, 0, 0, 1, 2, 1, 0, 1, -1, -1, -2, 1, 0, -1, -1, 2, -1, 0, 1, -2, -1, -1, 4, -1, -1, -2, -1, -2, 2, -1, 2, 1, 1, -1, -1, -1, 0, -1, 0, -1, -1, 2, 2, 0, -1, 4, 1, 1, 1, -1, -1, 0, 1, 1, 2, -1, -2, 0, 2, -1, -1, 0, -3, 0, 1, 0, -1, 1, 6, 2, 0, -1, 0, -1, 1, 1, 2, 0, 0, 1, 1, -2, 1, 0, -1, 2, 1, 1, -2, 1, 2, 4, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, -1, 1, -1, 0, 3, 1, 2, -1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, 0, 2, 0, -1, 1, -1, -1, 0, 1, -1, 1, -1, -1, 2, 1, -2, 0, -2, 4, -2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, -2, -1, 1, -2, -1, 0, 1, 2, -2, 4, -2, -1, 1, 1, 0, 0, -1, -2, -1, 1, -1, 0, 1, 1, 0, 2, 0, -2, 0, -2, 2, -2, 4, 2, -1, -2, 1, 1, 1, 1, 1, 0, 1, 1, -1, 1, 1, -2, -1, 1, 1, -1, 1, -1, 2, 4, -2, -1, 2, 2, 2, 2, 2, 0, 2, -1, -2, 2, -1, -1, 1, 2, 2, 0, 1, 1, -1, -2, 4, 1, -1, -1, -2, -2, -1, 1, -1, 1, 1, -2, 1, 0, -1, -1, 0, 2, 0, 1, -2, -1, 1, 4, -1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 0, 2, 0, -2, 0, 0, 0, 0, 1, 2, -1, -1, 4, 2, 0, 1, 2, -1, 1, 0, -1, 1, 0, -1, 1, 1, 0, -1, 1, 0, 1, 2, -1, -1, 2, 4, 0, 1, 2, 0, 1, 0, -2, 2, -1, -1, 1, 0, 0, 1, 0, -1, 1, 2, -2, 1, 0, 0, 6, 0, 2, -1, 3, -1, 0, 2, 0, 2, 0, -1, 2, -1, 1, -2, 1, 2, -2, 0, 1, 1, 0, 6, -1, -2, 1, -2, -2, 0, -1, 0, 1, 2, 0, -1, 0, -1, 1, 2, -1, -1, 2, 2, 2, -1, 6, 1, 1, 1, -1, 1, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, -1, -2, 1, 4, -1, 1, 0, 0, 0, -2, -1, 0, 0, 1, 1, -1, 1, 2, -1, 1, 1, 1, 3, 1, 1, -1, 4, -1, -1, 0, -1, 1, 1, 0, 2, -1, 0, 0, 1, -1, 1, 0, 0, 0, -1, -2, 1, 1, -1, 4, 1, 0, 1, -1, -1, 0, -1, 1, -2, 1, -1, -2, 1, 0, -1, -2, 0, -2, -1, 0, -1, 1, 4, 0, 1, 2, -1, -1, 0, -1, -1, 1, 1, 2, -2, -1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 6, 0, 1, 0, 0, 1, -1, 1, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, -1, 1, 1, 0, 4, 0, -2, -1, 0, 2, -2, 2, -2, -1, 0, 2, -1, -1, 2, 0, -2, -2, 1, -1, 2, 1, 0, 6, 0, -2, 1, 1, -1, 0, -1, 1, -1, 0, 1, 1, 0, 1, 0, -1, 1, -1, -1, 0, -2, 0, 4, 2, 0, -2, 0, -2, 1, 2, -1, -2, 1, 0, -1, 2, 1, 0, 0, 0, -1, 0, -1, -2, 2, 6, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, -1, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 0, -1, 2, -1, 1, 1, 1, 1, 0, -2, 0, 0, 2, 0, 1, 0, 0, 0, -2, 4, 2, 2, -1, 1, -1, 1, 1, -2, 0, 0, 1, 1, -1, -1, -1, 0, -2, 0, -1, 1, -2, 2, 4, 0, -1, 2, -2, 0, 0, -1, -1, 0, 0, 1, -1, -1, 0, 1, -1, -1, 0, 0, -2, 2, 0, 4, 0, 1, -1, 2, 0, -2, 0, 0, 1, 1, 0, 1, -2, 0, -1, 0, -1, 0, 0, -1, -1, 0, 4, 0, 2, 0, 0, 1, -1, 1, 1, 1, -1, -1, -1, 0, 0, 0, -1, -2, -1, 1, 2, 1, 0, 6, -3, 2, -2, -3, 0, 2, 2, -1, -2, 1, 0, 2, 0, -2, -2, 0, 2, -1, -2, -1, 2, -3, 6, -2, 2, 3, 1, 1, 0, 0, 1, -2, 1, -2, -1, 2, 0, -2, -1, 1, 0, 2, 0, 2, -2, 4, 0, -1, 0, 0, 2, -1, 0, 2, -1, 0, 1, 0, -2, 0, 1, 1, 0, 0, 0, -2, 2, 0, 4, 1, 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, 0, 1, -2, -1, -2, 1, -3, 3, -1, 1, 6, -1, -1, 0, 0, 2, -1, 2, -1, 1, 1, 0, -1, 1, 0, -1, 0, -1, 0, 1, 0, 1, -1, 4, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, -1, 0, 4, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 4, -1, -1, 0, 0, 0, 0, 0, -2, 0, -2, 1, 1, 1, 1, -1, 0, -1, 0, 0, -1, 0, -1, 4, 0, -1, -2, 1, -1, -1, 1, -1, 0, -1, -1, 0, -1, -2, 1, 0, 0, 2, 0, -1, -1, 0, 4, 1, 0, -2, 0, 1, 1, 0, 0, -1, -1, 1, -1, 1, -2, 2, -1, -1, 0, 0, 0, -1, 1, 4, 0, 0, 1, 0, 0, 1, 2, -1, 0, -2, -1, 0, 1, -1, 1, 2, 1, 0, 0, -2, 0, 0, 4, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, -2, 0, -1, -1, 0, 1, 0, 1, -2, 0, 0, 4, 1, -2, 0, 0, 1, -2, -1, -1, 0, 0, -1, 1, 0, 1, 1, -1, 0, -1, 0, 1, 1, 1, 4, -1, 0, 0, 0, 0, -1, 0, 0, -2, 2, 0, 1, 1, 0, -1, 0, -1, 1, 0, 0, -2, -1, 4, 1, 0, 0, -1, 0, -1, -1, -2, 0, -2, 0, 0, 0, -1, -2, 1, 1, 0, 0, 0, 0, 1, 4, 0, 0, 1, 0, 0, -2, 0, -2, 0, 0, -1, 0, -1, 0, -1, 0, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -2, -1, 1, 0, -1, -2, -1, -1, -1, -1, 2, -1, 1, 1, 0, 1, 0, 1, 1, 4, 1, 2, -2, 1, 2, -1, -2, 1, -2, -2, 0, 1, -1, 0, 1, 1, -1, -1, 1, 0, 2, 1, 4, 0, -1, 1, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 1, -1, 0, 1, 1, 1, 2, 0, 4, -1, 1, 2, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 1, 0, 1, 1, 1, -2, -2, -1, -1, 6, -2, -1, -1, 2, -1, 2, 2, 2, 1, 1, -1, -1, -1, -1, 1, -2, -1, -1, 1, 1, 1, -2, 6, 2, 2, -1, 4, -1, 0, 0, 2, -3, 3, -1, 2, 1, 0, 2, 2, 1, 2, 1, 2, -1, 2, 4, 1, 0, 1, -1, 0, 1, 1, 0, 1, 1, 2, -1, 1, 1, 1, 0, -1, 0, 0, -1, 2, 1, 4, 1, 0, -1, 1, -1, 0, -1, 2, 0, 2, 0, 1, 0, 2, -1, -2, -1, 0, 2, -1, 0, 1, 4, 0, 2, 2, 0, -1, 0, 0, 1, 0, -1, 1, -1, 0, -2, 1, 0, 1, -1, 4, 1, 0, 0, 6, 1, 0, 1, 1, -2, 2, -1, 0, 1, -1, 1, 1, -1, -2, -1, 0, 2, -1, -1, -1, 2, 1, 4, 2, 1, -1, 1, 0, -1, -2, 1, 1, -1, 0, -1, -2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 4, 1, 0, 1, 0, 0, 0, 0, 2, -1, 0, -1, 0, 0, 0, 2, 0, 1, -1, 0, 1, 1, 1, 4, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, 1, 1, 2, 1, 0, -1, 1, -1, 0, 0, 4, -2, 0, -1, 1, 0, 0, 0, 0, 2, -1, 1, -1, 1, -3, 0, -1, 0, -2, 1, 1, 1, -2, 6, -1, 1, 0, -1, 1, -1, -1, -1, 0, 0, 0, -1, 3, 1, 2, 0, 2, 0, 0, 0, 0, -1, 4, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, -1, -1, 1, 0, 1, -1, -1, 0, 0, -1, 1, 0, 4, 1, -2, 0, 1, 0, 1, 1, 1, 1, -1, 2, 2, 2, 0, 0, -2, 0, -1, 1, 0, 1, 1, 4, -1, 1, 1, 1, 0, -1, -1, 0, -1, 1, -1, 0, -1, 1, 1, 0, 0, 0, -1, 0, -2, -1, 4, 0, 0, 1, 1, -1, 0, 1, 1, 0, 1, 1, 1, -1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 4, 0, 1, 0, 1, 1, 1, -2, 2, 1, 0, -1, 1, -1, -1, 0, 0, -1, 1, 1, 1, 0, 0, 4, 0, 1, 0, 1, 1, -1, 2, 1, 2, 0, 1, 0, 0, 0, 0, -1, 2, 0, 1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 1, -1, 1, -2, -1, -2, 0, 1, -1, 0, 0, -2, 0, 1, 2, -1, 1, -2, 2, -1, 4, 0, 1, 2, 0, 0, 0, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 0, -2, -1, -1, -1, 0, 4, -1, -1, 1, 1, 2, -1, 1, 0, 0, -1, -1, -1, 1, 0, 0, 2, 1, 0, 1, 1, 1, -1, 4, 0, 0, 0, 0, 1, -2, -1, 1, -1, -1, 1, 1, -1, 1, 0, 0, -1, -1, -1, 2, -1, 0, 4, -1, 0, 0, 1, 0, -1, 0, 1, 2, 0, 0, 0, 0, -1, -2, 1, 0, 1, 0, 1, 0, -1, 4, -1, 1, -1, 1, -1, -1, -1, 0, -1, 0, 2, 2, 1, 2, -2, 1, -2, 0, 1, 0, 0, -1, 4, 2, 2, 1, -1, 0, -1, 0, 0, 1, -2, -1, 0, 1, 0, -2, -1, 0, 2, 0, 0, 1, 2, 4, 1, 2, -2, 0, -2, 0, 0, 2, -1, 1, 0, 2, 0, -1, -2, 1, -1, 1, 1, -1, 2, 1, 4, 0, -2, 1, 0, 0, 1, 0, -1, -1, -1, -1, 0, -2, 0, -1, 1, -2, 0, 1, 1, 2, 0, 4, -1, -1, -1, 1, -1, 1, 0, 1, 0, 1, -1, 0, 1, -1, 0, -1, -1, -1, -1, -2, -2, -1, 4, -1, 1, 0, 0, -1, 0, -1, 0, -1, 0, 1, -1, 1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 4, -1, -2, 1, 0, 0, 0, 1, 0, 1, -2, 0, 0, -1, -1, 1, -1, -1, -2, 0, -1, 1, -1, 4, 1, 0, -2, 1, -1, -1, -1, 0, 2, 0, 1, -1, -1, 2, 0, 0, 0, 0, 1, 0, -2, 1, 4, -1, -1, 0, 0, -1, -1, -1, 1, -2, 0, -1, 1, 0, -1, 0, 0, 1, -1, 0, 1, 0, -1, 6, 1, -1, 0, 0, -1, 2, -2, 0, -1, 1, 1, 0, 0, 1, 2, 0, 1, -1, 0, -2, -1, 1, 4, -1, 1, 0, 1, 1, 0, 1, 1, 0, -1, 0, 2, -2, -1, -1, 0, 0, 0, 1, 0, -1, -1, 4, 1, 0, 0, -1, 2, 2, 0, 0, 1, 0, 2, -1, 1, -1, 1, -1, 0, -1, 0, 0, 1, 1, 4, 0, 2, -1, 1, -1, 0, 2, 0, -1, 1, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 4, 0, 0, 0, 1, -2, 1, 0, -2, 2, 1, 2, -1, 1, -1, 0, -1, -1, -1, 1, 0, 2, 0, 6, 0, 0, -2, -1, 0, -1, 1, -2, 0, 0, 0, -1, 0, 1, 0, -1, 2, 1, -1, -1, 0, 0, 6, -1, 2, -1, 1, -1, 0, 1, -2, -1, -2, 0, 1, -2, 2, 1, -2, 0, 2, 1, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, -1, 1, -1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 4, -1, -1, 1, 2, 2, 1, 1, 0, 1, -1, -1, -2, -1, 0, 1, 0, 1, -1, 2, 1, 0, -1, 4, 0, 0, -1, -1, 0, -2, 0, 1, 1, 0, 2, -1, -1, -1, -1, -1, -1, 1, -1, 0, -1, 0, 4, -2, -2, -1, 1, 0, 1, 1, -1, 2, 2, 1, 0, -1, 0, -2, 1, -1, 1, 0, 1, 0, -2, 4, 1, 2, 0, -1, -1, 1, 0, -1, 0, -1, 0, 1, 0, 0, -1, 2, -1, 1, 2, -1, -2, 1, 4, 2, 1, 0, 0, 0, 1, -2, -1, -1, 1, 1, 1, 2, -1, 2, 0, 1, 2, -1, -1, 2, 2, 4, 0, 1, 0, 1, -1, 0, 0, -1, 1, 1, 1, 1, -1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 4, -1, 2, 1, -1, 1, 1, 0, 1, 1, 1, -1, 0, 1, 1, 1, 1, -2, 0, -1, 0, 1, -1, 4, 1, -1, -1, 0, -2, 0, 1, 1, 1, 1, 0, -1, 1, 2, 0, 0, 1, -1, 0, 0, 2, 1, 4, -1, 0, 2, 1, 0, 1, 1, 1, -1, 0, -1, 2, 0, 1, 1, 1, 1, 0, 1, 1, -1, -1, 4, -1, -1, 2, 0, -1, -1, -1, 0, 0, 1, 0, -1, -1, 1, -1, 0, 1, -1, -1, -1, 0, -1, 4, -1, 0, -1, -1, -1, -1, 0, -1, 1, 0, 1, -1, 0, 2, -1, -2, 0, 1, 0, 2, -1, -1, 6, 1, 0, 0, 1, 0, -2, 0, -1, 1, -1, -2, 2, 2, 0, -1, 0, 1, -2, 1, 2, 0, 1, 6, 1, -1, -1, -1, -1, 1, 0, 0, 0, -1, -1, 1, -1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 4, -1, -1, 0, 0, 2, -2, 1, 1, 0, -1, 0, 0, 1, 1, 1, 1, 1, -1, -1, 0, -1, -1, 4, 1, 2, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 4, 2, 0, -1, 1, 0, 1, 0, -1, 0, 0, 1, 1, 1, 1, 1, -1, -1, 0, -1, 0, 2, 2, 4, 0, 0, 0, 0, 0, 1, -1, -2, 0, 2, 1, -1, 1, -1, 0, 0, -2, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, -1, -1, 1, -1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 2, 0, -1, 0, 0, 4, -1, 1, 1, 2, 1, -1, 2, 2, 1, 1, -1, -1, 1, 1, -1, 0, -2, 0, 1, 0, 0, -1, 6, -1, 2, 1, -1, 1, -1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, 0, -1, 2, -2, 1, 2, -2, 1, -1, -1, 0, 1, 1, -1, 1, 1, 1, 1, 1, 4, 0, -1, -1, -2, 1, -1, 1, 1, 1, 0, 1, 1, -1, 0, -1, 0, 1, 0, 1, 2, 0, 0, 4, 1, 0, 0, -1, 1, 1, 1, 0, -2, 0, 0, -1, 2, -1, -2, -2, -2, -1, -1, 2, -1, 1, 6, 2, 0, 2, 1, 2, 3, -2, 1, 1, 1, -1, 1, 1, -2, -1, 1, -1, 1, 0, -1, 0, 2, 4, -1, 1, 2, 0, 2, 1, 1, 0, 0, 1, -1, 1, -1, -1, 1, -1, 1, -1, -2, 0, 0, -1, 4, 0, 0, -1, -2, 0, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, -2, 2, 1, -1, 2, 1, 0, 4, -1, 0, 2, -1, 2, 1, 1, 0, -1, 0, -1, 0, 2, 0, 1, -2, -1, 1, 1, 2, 0, -1, 4, 0, 1, 1, -1, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 2, 0, -1, 0, 0, 4, 1, 0, 0, 1, 1, 0, 2, -1, -1, 0, 0, 1, 1, 2, 1, 1, 3, 2, -2, 2, 1, 1, 6, -2, 0, 1, 1, 0, 0, 2, -1, 0, 0, -1, 2, -2, 1, 0, -2, 1, 0, -1, 1, 0, -2, 6, -1, 0, 0, -1, -1, -1, 1, 0, -1, 0, 0, 1, 0, -2, 1, 1, 0, 2, -1, 0, 0, -1, 4, 0, 1, 1, -1, 0, 0, 0, 2, 0, 1, -1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 4, 2, -1, 0, -1, -1, -1, 0, 0, 1, -1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 4, -1, 0, -1, 0, -1, 0, 0, 1, 0, -1, -1, -1, 1, -1, 0, 0, 0, 0, -1, 1, -1, -1, 4, -1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, -1, 0, -1, 0, 2, 0, -1, -1, 0, 0, -1, 4, 0, -1, -1, -1, 1, 0, 1, -1, -1, 1, 1, -1, 0, 0, -1, 2, -1, 0, -1, -1, 0, 0, 4, 1, 1, 0, 0, 1, -1, 0, -2, -2, -1, 0, -1, 0, -1, -1, 1, 0, -1, 0, 0, -1, 1, 4, 2, 0, 1, 0, 1, 1, -2, -1, -1, -1, 0, -1, 0, 0, 0, 0, -1, -1, 1, -1, 1, 2, 4, 0, 1, 1, 1, 0, -2, 1, 1, 0, 2, -1, 0, 0, -1, 2, 0, 0, 1, -1, 0, 0, 0, 4, 1, 1, 1, 1, -1, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, 0, 1, 2, -1, 1, 1, -2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, 0, -1, -2, 2, 2, 1, -1, -1, 1, -2, 1, 1, -1, 1, -1, 2, 0, 1, 1, 4, 0, 1, -1, 0, 0, -1, 2, 0, 0, -2, -1, -1, -1, -1, -1, 0, -1, 2, 0, 0, 0, 0, 4, 2, -2, -2, -1, -1, -1, 1, -2, -2, 0, 1, 1, 1, -1, 1, 0, 1, 0, -1, -1, 1, 2, 4, -2, -1, 1, -1, -1, 1, -1, -2, 0, 0, -1, -1, 0, 0, 1, 0, 0, -2, 0, -1, -2, -2, 4, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, -2, -1, 0, 4, 2, 0, 0, -2, 2, 2, 0, 0, 0, -1, 0, 0, 1, -2, 0, 1, -2, 0, -1, 1, 0, 2, 4, 0, 0, -1, 1, 1, 0, 0, 0, -2, 0, 0, 2, -1, 0, -1, 2, -1, -1, -1, 2, 0, 0, 6, 2, 1, 0, 0, 0, -2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, -1, -1, 1, 0, 0, 2, 6, -1, 0, -2, 0, -2, 0, 0, -2, 1, -1, 1, 2, 0, 1, 0, 1, 1, 0, -2, -1, 1, -1, 4, -2, 0, -1, 0, 1, 1, 1, -1, 0, 1, -1, -1, -1, 0, -2, -1, 0, 2, 1, 0, 0, -2, 4, 2, 0, -1, 0, 0, 0, -1, 1, -2, 0, 1, -1, -2, -2, -2, 1, 2, 1, 0, -2, 0, 2, 6, -1, 0, 1, 1, 0, -2, 2, -3, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 4, -1, 0, 0, 0, 1, 0, 1, 0, 0, -2, -1, 1, 0, 0, 0, 0, -2, -2, 0, -1, 0, -1, 4, -1, -1, 1, 1, -1, -1, 0, 0, 1, -1, 1, -1, 0, 0, 0, 2, 0, 1, 0, 1, 0, -1, 4, 2, -1, 0, 1, 0, 0, 0, 1, -1, 1, -1, 0, -1, -2, 1, 0, 1, 0, 1, 0, -1, 2, 4, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 1, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, 0, 4, -1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, -1, -2, 1, 1, 0, -1, -1, 4, -1, 1, 1, 0, -1, -1, 0, 1, -1, 1, 2, 1, -1, 0, 1, 2, 0, -1, 1, 0, 0, -1, 4, -2, 0, 0, 2, 2, 1, 0, 0, -2, -1, 0, 1, 1, -2, -3, 1, -1, 0, 0, 0, 1, -2, 6, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, -1, -2, 0, 1, -1, 1, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 2, 1, 1, 1, 0, 0, -1, 0, 0, -2, 1, -1, 2, -1, -2, -1, -2, 0, 1, 4, 0, 2, 1, 0, 2, 1, -1, -1, -1, 0, 0, -1, -1, 1, -1, 0, -1, 1, 1, -1, -2, 0, 4, -2, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, -1, 0, -1, 0, 1, 0, 1, 0, 2, 2, -2, 4, 1, 1, 2, 1, -1, -1, -1, 1, 1, -2, 0, 0, 1, -1, -1, 0, -1, 0, 2, 1, 0, 1, 4, 2, 2, 0, -1, 1, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, -2, 0, 1, 0, 0, 1, 2, 4, 1, 0, -2, 1, -1, -1, -1, -1, 0, -1, 1, -1, 1, -1, -1, -1, 1, 2, 0, 2, 2, 1, 4, 0, -2, -1, 0, 0, 0, -2, -1, 0, 1, 0, 0, 0, -1, 0, 1, 1, 1, 1, 0, 0, 0, 4, 0, -1, -1, -1, 0, -1, -1, 0, 0, -1, -2, 0, 0, 1, 0, -1, -1, -1, -1, -2, -2, 0, 4, 1, 0, 1, 0, 1, 1, 1, -1, 0, -1, 1, 1, 0, 0, -1, 0, -1, 1, 1, -1, -1, 1, 4, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0, -1, 0, -1, -1, 1, -1, 0, -1, 0, -1, 0, -1, 4, 1, 1, 1, 1, -1, -1, -1, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 0, -1, 1, 0, 1, 4, 2, 1, 1, 1, -1, -1, 0, 1, 1, -1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 1, 2, 4, 1, 1, 0, 0, 0, -1, 0, 0, 0, -2, -1, 1, -2, -1, -1, -2, -1, 1, 1, 1, 1, 1, 4, 0, 0, -1, 1, 1, 0, 1, -1, 1, -1, -1, 0, 1, 0, -1, -1, 1, 0, 1, 1, 1, 0, 4, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 4, -2, 1, 0, 2, 1, 0, 2, -1, -1, 1, 2, 1, 1, 0, -1, 1, -1, -1, 0, -1, 0, -2, 6, 1, 0, -1, -4, 2, -1, 0, 0, -1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 1, -1, 1, 1, 4, 1, 1, -1, 1, -2, -1, 1, -1, 0, 1, 0, -2, -1, 1, 0, 0, -1, 1, 0, 0, 0, 1, 4, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 2, -1, 1, 0, 4, 2, 0, -2, 1, 1, -1, -2, -1, -1, 0, 1, -1, 1, 1, 0, 1, 0, 1, -4, -1, 0, 2, 6, -2, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 2, 1, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, 1, 2, 0, 1, 0, -1, -2, 1, -2, 2, 1, -1, 1, -1, 2, -2, 2, 1, 4, 0, 1, 0, 0, 0, 0, 0, 1, -2, -2, -1, 0, 0, -1, -1, 0, -2, -1, -2, 0, -1, 0, 4, 1, 0, 0, 0, 0, 0, 1, -1, 2, 0, 0, 0, 1, 2, 0, 0, -2, 1, -2, 1, 1, 1, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, -2, 0, -2, 0, 0, 0, 6, -3, -3, -2, -3, -2, 2, -1, -2, 3, -1, -2, 0, -2, 0, 1, 2, 0, 1, 0, 0, 0, -3, 4, 2, 2, 2, 2, 0, 0, 1, -1, 1, 1, 0, 1, 1, -1, -1, 0, 2, 0, 0, 0, -3, 2, 4, 1, 1, 1, 0, 0, 2, -2, 2, 2, 0, 2, -1, 1, -2, 0, 0, 0, 0, 0, -2, 2, 1, 4, 0, 0, 1, 1, 1, 0, 0, 1, -1, 2, 1, -1, 0, -1, 1, 0, 0, 0, -3, 2, 1, 0, 4, 2, -2, 0, 1, -2, 1, 1, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, -2, 2, 1, 0, 2, 4, -1, 1, 1, -1, 1, 0, 1, 0, 0, -2, -1, -1, -1, -2, -1, 0, 2, 0, 0, 1, -2, -1, 6, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, -2, -2, 2, 1, -1, 0, 0, 1, 0, 1, 0, 6, 2, 0, 0, 1, 2, 1, 2, -2, 1, -2, 1, -1, 0, 1, -2, 1, 2, 1, 1, 1, 1, 2, 4, -2, 2, 2, 1, 1, 1, 1, -1, 0, -2, 0, 0, 0, 3, -1, -2, 0, -2, -1, 1, 0, -2, 4, -2, -2, 0, 0, 0, -1, 2, 0, 2, 0, 0, 2, -1, 1, 2, 0, 1, 1, 1, 0, 2, -2, 4, 2, 0, 1, 0, 1, -2, 0, 1, -1, 1, 1, -2, 1, 2, 1, 1, 0, 0, 1, 2, -2, 2, 4, 1, 1, 0, 1, -1, 0, -1, -1, 2, 1, 0, 0, 0, -1, 0, 1, 1, 2, 1, 0, 0, 1, 4, 0, 1, -1, 0, 0, 1, 0, 0, 1, -2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 4, 0, 0, -1, 0, -1, -2, 0, 0, 0, 1, -1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 4, -1, 1, 0, 2, -1, -2, 0, 1, -1, 1, -1, -1, -2, 1, -2, 1, -1, 1, 1, -1, 0, -1, 6, 0, 2, -2, -2, 1, -2, 2, -1, -2, 0, -1, -1, 0, 1, -1, 2, -2, -1, 0, -1, 1, 0, 6, -1, 2, 0, -2, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 0, 1, 2, 1, 0, -1, -1, 0, 1, 0, 0, -2, 1, 1, 1, 1, -1, 1, 1, 2, 4, 1, 0, 2, 2, -1, -1, -1, -2, -1, -1, 1, -1, -1, 1, 2, 2, 1, -2, 0, 0, 2, 1, 4, -1, 0, 1, -1, 1, -1, 0, -1, 2, -1, -1, -1, 1, -1, 0, 1, 0, 1, -1, 0, 0, -1, 4, -1, 1, 2, -2, 1, 1, 1, -1, 2, 1, -1, 1, 0, -1, -1, 1, 0, 1, 1, 2, 0, -1, 4, 0, -2, 0, 0, -2, 0, 0, -1, 0, 1, -1, 1, 2, 0, -2, -1, 1, 2, 2, 1, 1, 0, 4, 0, 0, 0, 0, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 2, -2, 0, 6, 0, 1, 1, 1, -1, 2, 1, -3, 0, 1, -1, -1, 1, 0, 1, 0, -1, 1, -2, 0, 0, 0, 4, 1, 0, -1, 1, -1, -1, 1, -1, -1, 0, -1, 0, 0, -1, -1, -1, -1, 1, 0, 0, 1, 1, 4, 0, -1, 0, -1, -1, 0, -2, 0, 0, -1, 0, -2, -1, -1, -2, 0, 1, -2, 0, 1, 0, 0, 4, 0, 1, 1, 1, 1, 0, -2, -2, -1, 2, 0, 0, 0, -1, -1, 1, 0, -1, 1, -1, -1, 0, 4, -1, 0, 2, -1, 1, 0, -1, -1, 0, 1, 2, 1, -1, 2, -1, 0, -1, -1, 1, 0, 1, -1, 6, 0, -1, 2, -1, -2, -1, 0, 1, 1, -1, 0, 1, -1, 2, -1, 0, 2, -1, -1, 1, 0, 0, 6, 0, 1, 1, 1, -1, 0, 1, 1, 1, 0, -1, -1, 1, 0, -1, 1, -1, -1, 1, 2, -1, 0, 4, -1, 1, 0, 0, -1, 0, 1, 2, -2, -1, -1, -1, 1, -1, -3, 1, 0, 1, -1, 2, 1, -1, 6, -2, -2, -1, 0, 1, -1, 0, 1, 1, 1, 1, -1, 1, 0, -1, -2, 0, 1, -1, 1, 1, -2, 4, 1, 0, 0, 0, 2, 1, 1, 2, -1, 0, 1, 0, 1, -1, 0, -2, 0, -2, 1, 0, -2, 1, 4, 2, 1, -2, 0, 1, 1, 2, 0, -1, 2, 0, -1, 0, 0, -2, -1, -1, -1, 0, -1, 0, 2, 4, 1, -2, 0, 0, 1, 1, 1, -1, 0, 0, -1, -1, -1, -1, -1, 0, 0, -1, 0, 0, 1, 1, 4, -1, 0, 0, -1, -2, 0, 1, -2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, -2, -2, -1, 4, 1, 0, 1, 0, 1, 0, -1, 0, 0, 0, -2, 0, 1, 1, 1, 1, -1, 2, 0, 0, 0, 1, 4, 0, 1, 0, -1, 1, 1, 0, 1, -1, -1, 0, 2, -1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, -1, 2, 2, 0, 2, 0, 0, 1, 0, 0, -1, -1, 1, 1, -1, -2, 0, 0, 0, 4, 1, 0, -2, -1, 1, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, -2, 0, 0, -1, 1, 4, 1, 0, -2, -1, -1, 0, 1, 0, -2, 1, 0, -1, 1, -2, -2, 1, 1, 0, -1, 0, 0, 1, 4, 1, -2, 0, -1, 1, -1, 1, 1, 2, 1, 0, 0, 1, 0, 0, -1, -1, -1, -1, -2, 0, 1, 6, 1, -1, 2, 1, 2, 1, -1, 2, 1, -1, 1, -1, 1, -2, 2, -1, -1, 2, -1, -2, -2, 1, 6, 0, 2, 0, 2, 1, 1, -1, 1, 0, 1, 1, 0, -2, 0, -1, -1, 2, 1, -1, 0, -1, 0, 4, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 1, 4, 1, 2, 0, 0, 0, 1, 1, 0, -1, 1, -1, 0, -1, -1, 2, -1, 0, 1, 1, 0, 2, 1, 4, 1, 0, 0, 1, 0, -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 2, 2, 0, 2, 1, 4, 0, -1, 0, 1, -1, 1, -1, 0, -1, 1, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 4, -1, 0, 2, 1, 0, 1, -1, -2, 0, -2, 0, 1, -1, -2, 1, -1, 1, 1, 0, 0, -1, -1, 6, -1, 1, 0, 0, 3, 2, 1, 0, -1, 0, 0, 0, 1, 2, 2, -1, 0, 0, 1, 0, 0, -1, 4, -1, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, -1, 4, 0, 0, 1, 0, -1, 0, -2, 0, -1, 1, -1, 0, -1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 4, 0, 0, -1, 0, -1, 0, -1, -1, 0, 1, 0, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 4, -1, -1, 0, 2, 0, -2, 1, -1, -2, 1, -1, 1, 0, -1, 0, -1, 1, 3, -1, 1, 0, -1, 4, 1, 0, -1, -1, 1, 1, -1, -2, 0, 1, 0, 1, 1, 1, 0, -1, 2, 0, 0, -1, -1, 1, 4, 0, 0, 0, 1, -1, 0, 1, 0, -2, -2, -1, -1, -1, -1, -2, 1, -1, -1, 0, 0, 0, 0, 4, 0, 1, 0, -2, -2, 1, -1, 2, 0, -1, 0, 0, 1, 0, 0, -1, 0, -1, 2, -1, 0, 0, 6, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, -1, -2, -1, 0, -2, 0, 0, -1, 0, 1, 1, 4, 0, 0, 0, -1, -1, -1, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, -2, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, -2, -1, 1, -1, 0, 1, 0, -1, -1, -2, 0, 1, 0, -1, 0, -2, 0, 0, 4, 2, 2, -2, 2, 2, 1, 0, 1, -1, -2, 0, 0, 2, -1, 0, 2, -1, -2, -1, 1, 1, 2, 6, -1, 0, -1, 1, 2, -1, -1, -2, -2, -2, -2, -1, -2, -2, 2, -2, -2, 0, -1, -2, 2, -1, 6, -3, 4, 2, 0, 0, 2, 0, -2, 2, 2, 3, 1, -1, 2, 2, -2, -1, 2, 0, -2, 0, -3, 4, -3, -2, -1, 1, -1, 0, 2, -1, -1, -2, 0, 1, -2, 0, 2, 2, -1, -2, 2, -1, 4, -3, 6, 3, 1, -1, 2, -1, -2, 1, 1, 4, 0, -1, 2, 0, -2, 0, 1, -1, 2, 1, 2, -2, 3, 4, 1, -1, 0, -2, -2, 1, 1, 3, 0, -1, 2, 0, -2, -1, 1, 1, 1, 2, 0, -1, 1, 1, 4, -1, 0, 0, -1, 0, 0, -1, -2, -2, 1, -1, -1, 0, 0, -1, 0, -1, 0, 1, -1, -1, -1, 4, -1, 1, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, -1, 0, 1, -1, 2, -1, 2, 0, 0, -1, 4, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, -1, -2, 0, 0, -1, -2, 0, 1, 1, 4, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 0, -2, -2, -2, 2, -2, -2, -1, 0, 0, 1, 4, 0, 1, -1, 0, 1, -2, 0, 2, 1, 0, -1, 0, -2, 2, -1, 1, 1, 0, 0, 1, 1, 0, 4, 2, 1, 1, 0, -1, 1, 0, 0, 2, -1, 0, -2, 2, -1, 1, 1, 0, 0, 1, 1, 1, 2, 4, 1, 1, 0, 0, 1, 0, 0, 2, -2, 2, -1, 3, -2, 4, 3, -1, -1, 2, -1, -1, 1, 1, 6, 0, 0, 1, 1, -1, -1, 2, 0, -1, -2, 1, 0, 0, 0, -2, 1, 0, 1, 0, 1, 1, 0, 4, 2, 0, 1, 0, -1, 1, 1, 0, -2, -1, 1, -1, -1, -2, 1, 1, 1, 1, 0, 0, 0, 2, 4, -1, 0, 1, 0, 1, 0, 2, 2, 2, -2, 2, 2, 1, 0, 0, -1, -2, -1, 0, 1, 0, -1, 4, 0, -2, -1, 0, -1, -1, -2, 2, 0, 0, 0, -1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 4, 0, -1, 1, 0, -2, -2, -2, 2, -2, -2, -1, 0, 0, 1, 2, 0, 0, -1, 0, 1, -2, 0, 4, 2, 0, -2, -1, 0, -1, 2, 0, -1, 0, 0, 1, -1, 1, 0, 0, -1, -1, 0, -1, -1, 2, 6, -1, 0, 1, -1, 2, -1, 1, 1, 0, -1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -2, 0, 0, 1, -2, 0, -2, 0, -1, -1, 6, -3, 1, 2, -1, 2, 1, -1, 1, -1, 1, 1, 1, 2, 1, 2, 0, 1, 1, -1, 1, 2, -3, 6, -2, -1, 2, -1, 1, 2, 1, 2, -2, 1, -2, -1, -2, -1, 0, -2, -2, -1, -2, 0, 1, -2, 4, 0, -2, 1, 1, -2, -1, -2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, -1, 0, 4, -1, 2, 1, 1, 1, -1, -1, -1, -1, 0, 2, 1, -1, -1, 1, 0, -1, 0, -1, 2, -2, -1, 4, -2, 0, 2, 1, 2, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -1, 1, 2, -2, 4, 0, -1, 1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 0, 0, 4, 0, 1, 0, -1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 0, 1, -1, 2, -2, 1, 2, -1, 0, 4, 0, 1, -1, -1, -1, -2, 0, 0, -1, -1, 0, 0, -1, 0, 1, 1, -1, 1, 1, 1, 1, 0, 4, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, -1, -1, 0, -1, 2, -2, -1, 2, -1, 0, 1, 0, 4, 1, 1, -1, -2, -1, -1, 1, 0, -1, -1, -1, 0, 1, -2, 0, -1, 0, 0, -1, -1, 0, 1, 4, 1, 0, 0, 0, 1, 1, 2, -1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 1, -1, 0, 1, 1, 4, -1, 1, -1, 0, 0, 0, -1, -1, 0, -2, 1, -2, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, 4, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, -1, 2, 0, -2, 1, 1, -2, 0, -2, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 0, 1, -2, 0, 2, -2, 1, -1, 0, -1, -1, 0, -1, 0, 0, 4, 2, -1, 0, 1, 0, 0, 1, 2, -1, 1, 1, -2, 1, 0, 0, 0, -1, 1, 0, 0, 1, 2, 4, 0, 0, -1, 0, 0, -2, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 1, 0, 1, 0, -1, 0, 4, 0, 0, 0, 0, 0, 1, -2, 0, -1, 0, 0, -1, -1, -1, 0, 2, 0, 1, 0, 0, 0, 0, 4, 0, 0, 1, -2, 1, -2, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 1, 0, 1, -1, 0, 0, 4, 1, 1, 0, -1, -1, 2, 0, 0, 0, 0, 0, -1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 4, 1, -1, 1, -2, 2, -1, 0, 0, 0, -1, -1, -1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 0, 1, 1, 0, -1, 1, 1, 2, 2, 0, 0, 1, 1, 2, -1, 1, 1, 0, 1, 4, 0, -2, 0, 2, -1, 0, -2, 0, 2, 1, 1, 0, -1, -1, -1, 0, -1, 2, 2, 0, 2, 0, 4, -1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, -1, 1, 2, 0, -1, 1, 0, 1, -1, -2, -1, 4, 1, -2, 1, 1, 0, 1, -2, -2, -1, 1, 1, 1, 0, 0, 2, -2, -2, 1, 0, 0, 1, 1, 4, 1, 2, 1, -1, 2, 1, -2, 0, 1, 0, 0, -1, -1, 1, 1, -1, 0, 1, 2, 1, -2, 1, 4, 0, -1, -1, 1, 2, 0, 0, 0, -1, 0, -1, 0, 0, 2, 2, 0, 1, -1, 2, 1, 2, 0, 6, -1, -1, 1, 0, -2, 0, -1, 1, 0, 1, 1, 1, 0, -3, 2, 0, 0, 0, 1, 1, -1, -1, 4, 1, 1, 0, -1, 1, 2, 1, 1, -1, 0, 1, 0, -1, 0, -1, -2, 0, 0, -1, -1, -1, 1, 4, -1, -1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, -1, 4, 1, 0, 0, 1, 0, 2, -1, 1, 1, 1, -1, 0, 1, 2, 1, -2, 1, 2, 0, 0, -1, 1, 4, 0, 1, -1, 0, 0, -1, 0, -1, 2, 1, 0, 2, 1, 1, -2, -2, 0, -2, -1, -1, 0, 0, 6, 2, -1, -2, 0, 2, 1, -2, 0, 1, -2, 2, 1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 2, 4, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 2, 1, 1, -1, -1, -1, 4, -1, 1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, -1, 1, 1, 0, 0, 0, -2, 1, -1, 4, 0, -1, 0, 2, 0, -2, 1, 1, -1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 4, 1, 1, 0, 0, 0, 1, 1, -1, 2, 0, -1, -1, 1, -1, 0, -1, -1, 2, 1, -1, -1, 1, 4, 0, -1, -1, 0, 1, 2, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, -1, -1, -1, 2, 1, 0, 1, 1, 0, 1, -1, -2, 0, 0, 2, 0, -1, 0, 4, -1, -2, 1, 1, 2, 1, -2, 1, 2, 0, 0, -1, 1, 2, 0, 1, 0, 0, 0, -1, 0, -1, 4, 2, 0, 1, 2, 0, -2, -1, 2, -3, -1, 0, -1, 1, 1, 0, 1, -2, 0, 0, 0, -2, 2, 6, -1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 1, 1, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, -1, 1, 0, -2, -2, -1, -1, -1, -1, 1, 0, 1, 1, -2, -1, 1, 0, 1, 4, -1, 1, 0, 1, -1, 1, -2, 1, 1, 1, -2, 1, 2, 1, 2, -1, -2, 1, -1, 1, 2, -1, 4, -2, 2, -1, 0, 0, -1, -1, -2, -2, 1, -2, -1, 0, 0, 2, 0, -2, 1, -1, -1, 1, -2, 4, 0, 0, -1, -1, 0, 2, 2, 2, 0, 2, 0, 0, 0, -2, 0, 2, 0, 2, 2, 0, 2, 0, 4, 0, -1, -1, -2, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 1, -1, 0, 0, 4, 0, 1, -1, 0, 1, 0, -1, 0, 1, 2, 2, -1, -1, 1, 0, 0, 1, -1, 0, -1, -1, 0, 4, 1, 0, -2, -1, -1, -1, -1, 1, 0, 0, 1, 0, -1, 1, -1, 0, 1, 0, -1, -1, 1, 1, 4, 0, -1, -1, 0, -1, 0, 1, 0, 2, 1, 0, -1, -1, 0, -2, -2, -1, 0, -2, -1, 0, 0, 6, 2, -1, 1, 1, 1, -1, -3, -2, 1, 3, -1, 1, 1, -2, 1, -1, 2, -1, 0, -2, -1, 2, 6, 0, 1, 1, 1, -1, -1, 0, 0, 2, 0, 0, 1, -1, 1, -2, 2, 0, 1, -1, -1, -1, 0, 4, 1, 0, 2, 1, 1, 0, -2, -1, 2, -1, 1, -1, 1, -2, 2, 0, 0, -1, 0, 1, 1, 1, 4, -1, 2, 0, 0, 0, -2, 0, 1, 0, 2, -1, -2, 1, 0, 0, -1, -1, -1, 1, 1, 0, -1, 4, -1, -1, -1, -1, 0, 2, 0, 0, 0, -1, 1, -2, 2, 0, 0, -1, 0, 1, 1, 2, 2, -1, 4, 0, 0, 0, -1, 0, 1, 0, 2, 1, 2, -1, 0, 0, 1, 1, 1, -1, -1, 1, 0, -1, 0, 4, 0, 1, -1, 0, 1, -1, 1, 0, 1, 0, 0, 1, 2, 0, 0, -3, -1, 1, 0, -1, 0, 0, 4, 2, -1, -2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, -2, 0, 0, 0, -1, 0, 1, 2, 4, 0, -1, 0, 0, 1, 1, -1, 2, -2, 0, -1, 1, 1, 1, 0, -2, -2, 0, -1, -1, -1, 0, 4, 1, -2, 1, -1, -2, -2, 0, 0, 0, -1, 0, 0, 3, 2, -1, 0, 2, 0, 0, -2, -1, 1, 6, -1, 0, 1, -1, 1, -2, 2, 0, 1, -1, -1, -1, 0, 2, 1, 0, 1, 1, 1, 0, -2, -1, 4, 0, 1, 1, -1, 1, 0, 1, 0, 1, -1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 4, 0, 0, 1, -1, 2, 1, 0, -1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 0, -1, 2, 0, -1, 2, -1, 0, 0, 1, 0, 1, -2, -1, 2, 0, 0, -1, 6, -3, 1, -1, 1, 2, -2, 1, 1, 1, -1, 1, 2, 2, -1, 1, -1, 1, 1, 2, -1, 2, -3, 6, -2, 2, 1, -1, 1, -2, 1, 1, -1, -2, -1, -1, -1, -2, -1, -2, 1, -1, -1, 0, 1, -2, 4, -2, -1, -1, -1, 2, -1, 0, 0, 2, 1, 1, -1, 1, 0, 1, 0, 1, -1, 0, -1, 2, -2, 4, 2, 1, 1, -2, 0, 0, 1, -2, -1, -1, 0, -2, 0, -2, 0, 0, 1, 0, 1, 1, -1, 2, 4, 2, -1, -1, 0, 0, -1, -1, 1, 1, 0, -1, 0, -1, 0, 0, -1, -1, 2, -1, -1, 1, 2, 4, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 2, -2, 1, -1, 1, -1, -1, 4, 0, -1, 1, 0, -1, -1, 0, 1, 1, -1, -1, 1, 0, 1, 0, 1, -2, 2, -2, -1, 0, 0, 4, -1, 1, -1, 2, 0, 0, 1, 1, -1, 1, 1, 0, 0, -1, 1, 1, -1, 0, 0, 0, -1, -1, 4, -1, 0, -1, 1, -1, -1, 0, 1, 1, -1, 0, -1, 2, 1, 1, 0, 0, 0, 0, 1, 1, -1, 4, -1, 0, -1, 1, 0, 0, -2, -1, 2, 0, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, 0, -1, 4, -1, 0, -1, 1, -1, 1, 1, -1, -1, 2, 0, 1, -2, 2, -2, -1, 0, -1, 2, -1, 0, -1, 4, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 2, -1, 1, -1, 1, 0, -1, 0, 1, -1, 0, 0, 4, 1, 0, 1, 0, 1, 0, 1, -1, 1, 2, -1, 1, -1, 1, 0, 0, 0, -1, 1, -1, 0, 1, 4, -1, 1, -1, 1, 1, 0, -1, 0, -1, -1, -1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 0, -1, 4, 1, 0, 0, 0, -1, 2, 1, 1, -2, 1, -2, -1, -1, 1, 1, 0, 0, -1, 1, 1, 1, 1, 4, 0, 1, 0, 1, 0, -2, -1, -1, 0, 0, 0, 0, -1, -1, 1, -2, 1, -1, 0, -1, 0, 0, 4, 1, -2, 0, 0, -1, 1, -2, 1, -2, -1, -1, -1, 1, 1, -1, 1, 0, 1, 1, 0, 1, 1, 4, -1, -1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, -1, 2, -1, 0, 0, 1, 0, 0, -2, -1, 4, 1, 0, 0, 2, -1, 1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 1, 0, -1, 1, 0, -1, 1, 4, -1, 0, -1, -1, -1, 1, -1, 0, 1, 0, -1, 0, 2, 0, -1, -1, 2, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 0, -1, 1, 0, 1, -1, 1, 1, 0, 1, 0, -2, 1, -2, -2, -2, -1, 0, -2, 4, -2, -1, -1, 0, 0, 1, -1, 1, -1, -2, 1, 0, 0, 1, 0, 1, 0, 1, 0, -1, 2, -2, 4, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, -1, -1, 0, 1, 0, -1, 1, 4, 0, 1, 1, 0, -1, -1, -1, 0, -1, -2, 1, 1, 1, -1, 1, 1, -1, 2, 0, -1, -1, 0, 4, 2, 0, 0, 1, 1, 1, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 2, 4, 0, 1, 1, 1, 1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, 4, 1, -1, -2, -1, 0, 1, 1, 1, -1, 0, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 4, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, -1, 0, -1, 1, 1, -1, 1, 4, 0, 1, 1, -1, 0, 0, 0, 1, -1, -1, 0, -1, -2, -1, 1, 0, -1, 1, 1, -2, 0, 0, 4, 0, -1, 0, 0, -1, 1, -1, 0, 0, 1, 1, -1, 1, -1, 0, -1, 1, 1, -1, 0, 1, 0, 4, 1, 0, 1, -1, -1, 0, 0, 0, -1, 0, -1, 1, -2, 0, 0, 0, -1, 0, -1, 1, -1, 1, 4, 0, 0, 1, -1, 1, 0, 1, -1, -1, 0, 0, 1, 0, -1, -2, -1, 1, 1, -1, 0, 0, 0, 4, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 0, -1, -2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 4, -1, -2, 0, 1, -1, -2, 0, -1, 0, 0, -1, 1, -1, -1, 1, 0, 0, -1, -1, 1, 1, -1, 4, 1, 0, -1, 1, 1, 0, 0, -2, 1, -1, 1, 0, 1, -1, 0, 0, 1, -1, -1, -1, -2, 1, 4, -1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, -1, 4, -1, 0, 0, -2, 0, -2, 1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, -1, 0, -1, 4, 1, 0, 1, 0, -2, 0, -1, 1, 0, 0, -1, -1, -1, 0, 0, 1, -1, -1, 1, 1, 0, 1, 4, 1, 0, 1, -2, 1, -1, 1, 0, 1, -1, 0, 0, 1, -1, -1, -1, -2, 1, 2, 0, 0, 1, 4, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, -2, 1, 0, 1, 4, 0, 0, -1, 1, 2, 0, 0, 1, -1, -2, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 0, 1, -2, -2, -2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, -2, 0, -2, 6, 2, -2, -2, -2, 1, 2, 1, -1, -2, -2, -2, -2, -1, -1, 0, -1, -1, 1, 1, -1, 0, 2, 4, -1, -2, 0, -1, 1, 0, -1, -2, 0, -2, 1, -1, 0, 2, -1, -1, 1, 0, 1, 1, -2, -1, 4, 0, 2, 1, -1, -1, -1, 1, 1, 1, 0, 0, 2, 1, -1, 1, 1, 1, 1, 0, -2, -2, 0, 4, -1, -1, 0, 0, 0, 1, 1, 1, 1, 0, -1, -2, 0, 0, 0, 0, 0, 1, -2, 0, 2, -1, 4, 1, 0, -1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, -1, 1, 1, -2, 1, -1, 1, -1, 1, 4, 1, 1, 0, 0, 0, 0, -2, -1, 0, -1, 0, 0, 0, 2, 0, -2, 2, 1, -1, 0, 0, 1, 4, 1, 0, 0, -1, 0, 0, -2, -1, -1, 0, -1, 0, 2, 1, -2, 1, 0, -1, 0, -1, 1, 1, 4, -1, -1, 0, 0, -1, 0, -2, -1, 1, -2, -1, 2, 1, 0, -1, -1, -1, 0, 1, 0, 0, -1, 4, 1, 0, 0, 0, 1, -1, -1, 2, 0, -2, 0, 0, 1, -2, -2, 1, 1, 1, 0, 0, -1, 1, 4, -1, 2, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, -2, 0, 1, 1, 1, 0, -1, 0, 0, -1, 4, -1, 1, -1, -1, 1, 0, 1, 0, 1, 1, 1, -2, -2, 1, 1, 1, 0, 0, 0, 0, 2, -1, 4, 0, 1, 1, -1, 1, 0, -1, -1, 0, 2, -2, 1, 0, 1, 1, -2, 0, -1, 0, 0, 1, 0, 4, -1, 0, 1, 0, 1, 0, -1, 1, 1, -1, -1, 0, 0, 0, -1, -2, 0, 1, 1, -1, 1, -1, 4, 1, 0, 1, -1, -1, -1, 0, 2, -1, 0, 2, -1, 1, 0, -1, -2, -1, 1, -1, 1, 0, 1, 4, 1, -1, 1, 1, -1, 0, 2, 0, 2, 1, -2, 2, -1, -1, -1, -1, -1, 1, -1, 1, 0, 1, 6, -1, 1, 1, -1, 1, 0, -1, -1, -1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, -1, -1, 4, 0, -2, 1, 0, 1, -1, -1, 1, 0, 1, 0, -1, -2, 0, 0, 1, 0, 1, -1, 1, 1, 0, 4, 0, -1, -1, 0, 1, 1, 1, 0, -1, 0, 0, -1, -2, -1, 0, -1, 0, -1, 1, 1, -2, 0, 4, 0, 0, -2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, -1, -1, -1, -1, -1, 1, -1, 0, 6, 1, 0, -1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 2, 0, 1, -1, -1, 0, -1, 2, -1, 0, 2, 4, -1, -1, 0, -2, 0, 1, 1, 1, 1, 2, 2, 0, -1, 0, -1, -1, -1, 0, -1, 1, 0, -1, 4, 1, -1, 2, 0, -1, -1, -1, -1, -1, -1, -1, 2, 1, 2, 1, -1, -1, 2, 1, 0, -1, 1, 4, 1, 2, 1, -2, -2, -2, 0, 1, -2, 1, 0, -1, 0, 2, 1, 1, 1, -1, 1, 0, -1, 1, 4, 1, 0, -1, 1, -1, 0, 0, 1, 1, 0, -1, -2, 1, 0, 0, -1, 0, -1, -2, 2, 2, 1, 6, 2, -1, 0, 0, 1, -2, -2, 0, 2, -1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 4, 1, -1, 1, 2, 1, -2, -1, 0, 0, 0, 2, -1, 2, 0, 0, 0, 1, -1, -2, -1, -1, 1, 4, 0, 1, 1, 1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 1, -1, -2, 1, 0, -1, 0, 4, 2, 1, -1, 2, 0, 0, -1, 0, -1, -1, -1, -1, 1, 0, 1, -1, -2, -1, 0, 1, 1, 2, 4, 2, 0, 1, -1, 0, -1, 0, -1, -1, 1, -1, 1, 0, 1, -1, 0, 0, 1, 2, 1, 1, 2, 4, 0, -1, -1, 0, -1, 0, 0, 0, 1, -1, 1, 1, 2, -1, 1, 0, -2, 1, 1, -1, 0, 0, 6, 2, 0, -1, 0, -2, 1, -1, 0, -1, -1, 2, 2, -1, -2, 1, -2, -2, 1, 2, 1, -1, 2, 6, 1, 1, -1, -1, -1, -1, 0, -2, 0, 0, 0, -1, 1, 1, 0, -1, 0, 0, -1, -1, 0, 1, 4, 0, -1, 0, -1, 2, 1, 0, 0, 1, -1, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 1, 0, 4, -1, 1, 0, 0, 1, 0, 1, -1, 0, 1, -1, -1, -1, 0, 1, -1, -1, -1, 0, -1, -1, -1, 4, 1, 0, -1, -2, 1, 1, -1, -1, 2, 0, -2, 2, 0, 0, 0, 0, 0, -2, -1, 0, 1, 1, 4, 0, 0, 0, 2, 1, 0, -1, 1, 2, 1, 2, 2, -1, -1, -1, 0, 1, -1, -1, 0, 0, 0, 4, -1, 1, 1, -1, -1, -1, -1, 1, 0, 0, -1, 0, -1, -1, 0, -1, -1, 2, 0, -1, 0, -1, 4, 0, 0, 0, 2, 0, -1, 1, 0, 1, 2, 0, -1, 1, 1, 0, 0, 1, 1, -2, 0, 1, 0, 6, 0, -1, -1, -1, 2, 1, -1, 2, 0, -1, -1, -1, -1, -1, -2, 0, 0, 1, 2, 1, 0, 0, 4, 0, 0, 1, 1, -1, 0, 1, 0, 1, 1, 1, 1, -1, 0, 0, 1, 1, 1, -1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -2, 1, 0, 0, -1, 2, -1, 1, 1, 1, 1, 2, 2, 2, 2, -1, 2, 2, 2, 0, 4, 0, 0, -2, 0, 0, 0, -2, 1, -1, -1, 2, 0, 0, 1, -1, -1, -1, 1, 1, -2, -1, 0, 4, 1, 1, 0, 0, 2, -2, 2, 1, 1, -2, -2, 1, -1, 0, 0, 1, -1, -1, 1, -2, 0, 1, 4, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, -2, -2, 2, 0, 0, 0, 1, -2, 1, 0, 6, 2, -2, 1, 3, -2, 0, 1, -3, 1, 0, 0, -1, 0, 1, 0, 2, 4, 0, 0, 0, 1, 2, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 0, 2, 0, 0, 0, 0, 0, -2, 0, 4, -2, -1, 1, 1, 1, 0, -2, 1, 0, 0, 0, -1, 0, 0, -1, -1, 0, 2, 0, 1, -1, -2, 4, -1, 0, 0, -1, -2, 0, -1, -1, 0, 0, 0, -1, -1, 1, 2, -2, -2, 0, 3, 0, -1, -1, 6, -3, 1, 1, -1, 2, 0, 1, 1, 1, 1, 1, 1, 3, -1, 1, 2, 0, -2, 0, 1, 0, -3, 4, 0, 0, 1, -2, 1, -1, 0, 0, 0, -1, -1, -2, 1, -1, 1, 1, 0, 0, 1, 0, 1, 0, 4, 2, 0, -1, 1, 0, 1, 1, 1, 0, 0, 1, 1, -1, 1, 1, 1, 0, 1, -1, 1, 0, 2, 4, 0, -1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, -2, 0, -3, 0, 0, -2, -1, 1, 0, 0, 6, 1, 1, 1, 0, 0, -1, 1, 1, -3, 1, 0, -2, -1, 1, 0, -2, 0, 2, -2, -1, -1, 1, 4, -1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, -1, 0, 0, 1, -1, 0, 1, 1, 1, 1, -1, 4, 1, 1, 1, 0, 1, 1, 1, 2, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, 4, -1, 0, -1, 2, 2, 1, 2, -1, 0, -2, -1, -2, 0, 0, 1, 0, 1, 1, 0, 1, 1, -1, 6, 3, 0, 0, -2, 1, 2, -1, 0, -2, 0, -1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 3, 4, 0, 0, -1, 1, -1, -1, 1, 2, 1, 1, -1, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 4, -1, -1, 1, 2, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, 2, 0, 0, -1, 4, 3, 1, 2, 1, -1, 0, 2, 2, 0, -1, 1, -1, 0, 0, 1, 0, 1, 2, -2, -1, -1, 3, 6, 1, 2, -2, 1, 0, 4, 0, -1, 1, 3, -2, 1, 2, -3, 0, 1, 1, 1, 1, 1, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 0, 0, 2, -2, 2, -2, 0, 1, 1, -1, 2, 2, -1, -1, 1, -1, 2, 1, 4, -1, 0, 0, 1, 1, 0, -2, 1, -1, 1, 2, 0, 0, 0, 0, 0, -2, 2, 0, 2, -1, -1, 4, -1, 1, 1, 1, -1, -1, 0, 0, 1, 0, 1, -1, -1, -1, -1, 0, 0, -1, 1, -1, 0, -1, 4, -2, -1, 1, -1, 1, 0, -1, -1, 0, -1, 1, 1, 0, 2, 0, 1, 1, -1, 1, 0, 1, -2, 4, 2, 1, 1, -2, 1, -1, 0, 0, 1, -2, 0, 1, -2, -1, 1, -1, 2, 0, 1, 1, -1, 2, 4, 2, -1, -2, 1, -1, 1, 0, 1, 0, 0, 1, -2, -1, 1, -1, 1, 0, 1, 1, 1, 1, 2, 4, -1, -2, 1, -1, 0, 0, 1, 0, 1, 1, -1, -2, 2, -1, 2, 2, 0, -1, -1, 1, -1, -1, 4, -1, 0, 0, 0, 0, 1, -2, 1, 1, 0, 0, 1, -1, 0, -2, -2, -1, 1, -2, -2, -2, -1, 6, -3, 3, -1, -2, -2, 2, -2, -2, 1, 3, -3, 2, -2, 2, 1, 0, 0, 1, 1, 1, 0, -3, 4, -2, 0, 1, 0, 0, 1, 1, 0, -1, 1, 0, 1, -2, -1, 0, -1, -1, -1, -1, 0, 3, -2, 6, -1, -2, 0, 1, -2, -3, 1, 2, -1, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0, -1, 0, -1, 4, 0, 1, -1, -1, 1, 0, 0, 1, -1, 1, 1, 2, 0, 0, 0, 0, 0, 0, -2, 1, -2, 0, 4, -1, 0, 0, 0, 0, -2, 0, 0, 1, 1, 0, 1, -1, 1, 1, 1, 1, -2, 0, 0, 1, -1, 4, -2, 1, 1, -1, -1, 2, -2, 2, -1, 0, -1, 1, -2, 0, 0, -2, 2, 0, 1, -1, 0, -2, 4, -1, -1, 0, 1, -2, 2, -2, 2, 0, -1, 1, 0, 0, 1, 1, -2, 1, -2, -1, 0, 1, -1, 4, 2, 0, -1, 2, -1, 0, 2, 0, -1, 0, 1, 1, 1, 1, -2, 1, -3, 1, 0, 1, -1, 2, 4, -1, -1, 1, -1, 1, -1, 0, -1, 2, -2, -2, -1, 0, 1, 0, 1, 0, 0, -1, 0, 0, -1, 4, 1, 1, 1, -1, -1, -2, 0, 0, -1, -1, -2, 0, 3, -1, 2, 0, -2, -1, 1, -1, -1, 1, 4, -2, 1, -2, 1, 2, 0, 1, 1, 1, 2, 1, -3, 1, -1, 1, 0, 2, -2, 2, 1, 1, -2, 6, -1, 2, -1, 0, -1, 1, -1, -1, -1, -1, 2, 0, 0, -1, 0, -2, 2, -1, -1, 1, 1, -1, 4, -2, 2, 2, 1, -1, 2, 1, 2, 0, -2, 1, -1, 1, 1, 2, -2, 0, 1, -1, -2, 2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, 0, 0, -2, 1, -2, 2, -2, -1, -1, 2, -1, -1, 2, -1, -1, -2, 1, 0, 2, 4, -2, -1, 0, 0, -1, 0, -2, 2, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 1, 1, -2, -2, 6, 0, 2, -2, 2, 2, 1, -1, 1, 2, 2, -3, -1, -1, -1, -1, 2, 1, 1, -2, -1, -1, 0, 4, 1, -1, 2, -2, 0, -2, 0, -1, -1, -1, 2, -1, 1, 2, 1, 0, -2, -1, 0, 0, 2, 1, 4, -2, 1, 1, -1, 1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, -1, 0, 0, 0, -2, -1, -2, 4, -2, -1, 1, -1, 0, 0, 0, 2, 1, 1, -1, 1, -2, 0, -1, 0, -2, -1, 2, 2, 1, -2, 4, -1, 1, -1, 1, 1, 1, -2, 1, 0, 0, 1, 1, 1, -1, -1, 1, 0, 2, -2, 1, -1, -1, 4, 0, 1, -1, 1, 1, 0, -1, 0, 0, -1, 1, -1, 1, 0, -2, -2, 1, 0, -1, 1, 1, 0, 4, -1, 1, 1, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 2, 2, -1, -2, 1, -1, -1, 1, -1, 6, 1, -1, -1, 1, -2, 1, -1, -2, -1, 1, 2, 1, -2, 0, 1, 0, 0, 0, 1, -1, 1, 1, 4, 0, 1, -1, -1, 1, -2, 0, 0, 2, 0, 0, -1, 0, 2, -1, 0, 0, 1, 1, 1, -1, 0, 4, 2, -1, -1, 1, -1, 0, 0, 0, 1, 0, -1, 0, 2, -1, 0, 0, 1, 1, 1, -1, 1, 2, 4, -1, 0, 1, -1, -1, 0, 0, 1, 0, 2, 1, -3, -1, -1, 2, -2, 0, 0, 1, -1, -1, -1, 4, 1, 0, 0, 1, -1, -1, -1, 1, -1, -1, -1, 2, 1, 1, 1, -1, 0, -2, -1, -1, 0, 1, 6, 0, 0, 4, 0, 0, -4, 0, -1, 1, -1, -1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, -1, 0, -1, 1, 0, 2, 2, 0, -1, 1, 0, -1, 0, 0, -1, -1, -2, -1, -1, 0, 0, -1, 4, 0, 0, -2, 0, 0, -1, -1, -1, 2, 1, 1, 1, -1, 0, -2, 0, 0, -1, 1, 4, 0, 0, 6, 0, 0, -4, 0, -1, 0, 2, 1, 1, -2, 1, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 4, 0, 0, 0, -2, 0, 1, 0, 0, 0, 1, -1, 1, 1, 2, 0, 0, -1, 0, 1, -2, 0, 0, 4, 1, 0, 1, 1, 1, -2, -1, -1, -1, 1, 0, 2, 0, 1, 1, -1, -4, 0, 0, -4, 0, 1, 6, 0, 0, 1, -2, -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 2, 1, -2, -1, 0, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -2, -1, -2, 4, -2, 0, -2, -1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, -1, -1, 1, 1, 2, 2, -2, 4, 1, 2, 0, -2, -1, 1, 1, 0, -1, 0, -1, 0, 0, -1, 0, 1, 0, -1, -1, 1, 0, 1, 4, -1, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 1, -2, 0, 1, 0, -1, 1, 2, -2, 2, -1, 6, 2, -1, 1, 0, 2, 1, 0, 2, 0, -2, 1, 2, -1, 1, 1, 0, -2, 1, -1, 0, -1, 2, 4, -1, 1, -1, 1, 1, 1, 1, 1, -1, 0, 1, -1, -1, 1, 0, -2, -2, 2, -2, 0, -1, -1, 4, 2, -1, -1, 1, 1, -1, 1, 1, 1, 0, -1, 0, 1, 0, 1, -1, 1, -1, 0, 1, 1, 2, 4, -2, 1, 2, 2, 1, 2, -1, 2, 0, -2, 0, 2, 0, -1, 0, 0, 1, -1, 0, -1, -1, -2, 4, 0, 0, -2, 0, -2, 0, -2, 0, 0, -1, 0, 0, 1, 1, 0, 1, 0, 2, 1, -1, 1, 0, 4, 0, 0, 2, 0, -2, 0, 1, 0, 1, 0, 0, -1, -1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 4, 1, 1, 2, 0, 1, 0, -2, -1, 2, 0, 0, -1, 1, -1, 1, 0, 1, 1, 2, -2, 0, 1, 4, 0, 2, -1, 2, 0, -2, -1, 1, 1, 0, 1, 0, 0, 0, 2, 1, -1, 1, 0, 2, 1, 0, 4, 0, -1, 0, 1, -1, 1, 1, 0, 0, -1, 1, -1, 1, 0, 1, 1, 2, -2, 0, 2, 2, 0, 4, -1, 2, 0, -1, -1, 1, 1, 0, -1, 0, 0, 0, -2, -1, 1, -1, 0, -2, 0, -1, -1, -1, 4, -1, -1, 0, 1, 0, -1, 1, -1, 0, 0, 1, 1, 0, 1, 2, -2, 0, 1, 2, 0, 2, -1, 4, 1, -1, 0, 1, 1, 0, -1, 0, -1, -2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 1, 4, 0, 0, 0, 2, 0, 1, -1, 0, 0, -1, -1, -1, -2, 0, 0, -2, -2, -1, -1, 0, -1, 0, 4, 1, -2, 0, 0, 1, -1, 1, 1, 1, -1, 0, 0, -1, 1, -1, -1, 1, -1, 1, 0, 0, 1, 4, -1, -1, 0, -1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, -2, -1, 4, 1, 0, -2, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, 2, 0, -1, 1, 4, 0, -1, 2, -1, 1, -2, -2, 1, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, -2, -1, 0, 0, -1, 2, -1, 0, -1, 0, -2, 0, 1, -1, -1, 0, 0, 1, 2, 4, 2, 0, -1, -2, 0, -1, 1, 1, -1, 0, -2, 0, 0, -1, 0, -2, -1, 0, 1, 1, 2, 2, 4, -1, -2, 0, 0, 1, -1, 1, -2, 1, -2, 0, 0, 0, 1, -2, -2, 0, -1, 1, -1, 0, -1, 4, 2, -2, -1, -2, -1, -2, 0, -1, 1, -1, 2, 0, -1, -1, 0, -1, 2, 1, -2, -1, -2, 2, 6, 1, -1, 1, 1, -1, -1, 0, 2, -1, 3, -1, 1, 0, 2, -1, -1, -2, -1, -2, 0, -2, 1, 6, -1, 4, 0, 1, -2, 0, 1, -1, 1, -1, 2, 2, 1, -1, -4, -1, 0, 0, 0, -1, -1, -1, 4, -2, 1, -1, 1, 2, -1, 2, -2, 2, -1, 0, -1, 2, 1, 0, 0, -1, 1, -2, 1, 4, -2, 6, 0, 1, -2, 0, 1, -1, 2, -2, 2, 1, 0, -1, -4, -1, -1, 1, -1, -1, 1, 0, 1, 0, 4, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 2, 1, 1, -2, -1, 1, -1, 1, 0, 4, -1, -1, -1, -1, -1, -1, 2, 0, 1, -1, -1, -1, -1, -1, -2, 0, -1, -2, 1, -2, 1, -1, 4, 0, 0, 1, -1, 1, -2, 1, 1, 1, 2, 0, 0, 0, 1, -1, 0, 0, 2, 0, 0, -1, 0, 4, 0, 2, 0, 1, 0, 0, -1, 2, 0, -1, -1, -2, -2, 1, 2, 1, -1, 1, -1, -1, 0, 0, 4, -1, 1, -1, 0, 2, 1, -1, -1, -1, 0, 0, 0, -1, -1, -1, 2, -1, 1, -1, 1, 2, -1, 4, -1, 2, 0, 0, -1, 2, 1, 0, -2, 0, 0, 2, 3, 1, -2, 2, 0, -1, -1, 0, 1, -1, 6, -1, 0, -1, 1, -1, 0, 0, 0, -1, 0, 0, -1, -1, 2, -2, 0, -1, 1, 1, -1, 2, -1, 4, -1, -1, 0, 2, 2, 1, 1, 0, 1, -1, 1, 2, -1, 2, 0, 2, -2, 0, 0, 0, 0, -1, 4, 0, 0, -1, -2, -1, -1, -2, -2, -1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, -1, -1, 0, 4, 1, 0, -1, -1, -1, -1, -2, 0, 2, 1, -1, 0, 1, 1, 1, -1, 1, -1, 1, 0, 0, 1, 4, -1, 0, -1, 0, 0, 0, -1, -1, -1, 2, -1, 1, -1, 1, 2, -1, 2, -1, 2, -1, 0, -1, 4, 2, 0, 0, 1, -1, 2, -1, -4, 1, -4, 0, -1, 2, 0, -1, 1, 0, 2, -2, -1, 0, 2, 6, 1, 1, 1, 1, 1, -2, -1, 0, -1, -1, -1, 0, -1, -1, 0, 0, 1, -1, -1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -1, 2, 2, 0, 0, 1, 1, 2, 0, 1, -1, -2, -1, 2, 2, -1, 0, 1, 4, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, -1, -2, -1, 2, 1, -1, 0, -1, 0, 4, 1, 1, 0, -1, 0, 1, 1, -2, 1, 0, 1, 1, 2, 2, 0, -1, -2, -1, -1, -1, 1, 1, 4, 0, 1, -1, -1, 1, -1, -1, -1, 1, -1, 0, -1, -1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 4, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, -1, 0, -2, 1, 1, -1, -1, -1, 0, 0, 1, 0, 4, -2, -1, -1, -1, -1, 0, -1, 0, -1, -1, 0, 1, -1, -1, 0, 1, 2, 2, -1, -1, 0, -2, 6, 2, 0, 0, 2, 1, 2, 1, 2, 1, -3, -1, 1, 0, -1, -1, 2, 0, 0, -1, 1, -1, 2, 4, 0, -1, -1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 4, 1, -1, 1, 0, -1, 2, 1, 1, 0, 1, -1, -1, 1, 0, 1, 1, -1, 1, -1, 0, -1, 1, 4, 0, 2, -1, 0, 1, 1, 1, -2, 0, -1, -2, 1, 1, 2, -2, -1, 0, -1, 2, -1, -1, 0, 6, -1, -1, 1, 0, -1, -3, 0, 1, 1, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 1, 2, -1, 4, 0, 0, 1, 1, 0, -2, 0, -1, -2, 1, 2, 0, 0, 1, 0, -1, 2, 2, 0, -1, -1, 0, 4, -1, 1, 0, -2, 0, 1, 1, 0, -1, 0, 1, 1, -1, 2, 0, 1, 1, -1, 0, 1, 0, -1, 4, 1, 0, 0, 0, 0, 0, 0, -2, 1, 2, 1, 0, 1, -1, 2, 1, 2, 1, 0, 1, 1, 1, 4, 1, 0, 0, 2, 0, -1, -1, -1, -1, 2, -1, -1, -1, 1, 0, 1, 1, -1, 1, 0, 0, 1, 4, 2, 0, -1, -3, -1, 0, -2, -2, 2, -1, 0, 0, -3, 0, 1, 1, -3, 0, -2, 0, 0, 2, 6, 0, -1, -1, 0, 0, -1, -1, 0, 1, -2, 1, -1, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 2, 2, -1, 0, 1, -1, 1, 1, 1, 0, 1, 0, 1, 0, 2, -1, -1, 0, 4, 2, 0, 0, 2, 1, -2, 0, 1, -1, 0, 1, -1, -1, 1, -1, 1, 0, 0, -3, -1, 0, 2, 6, 2, -1, -1, -1, -1, 1, -1, 0, -1, 0, -1, -2, 0, -2, 0, 0, -1, -1, 0, 2, 0, 2, 4, -1, 0, 0, -1, 0, -1, 1, -1, -1, 1, 1, 0, 1, -1, -2, -1, 0, 0, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -1, -1, 1, -1, 1, -2, -2, 2, -1, -1, 1, -1, -1, -2, 1, -2, 1, -2, 4, 1, 0, -1, 2, 1, -2, 1, 0, 2, 2, -2, 0, -1, -1, 0, 0, 2, 0, 0, 0, 0, 1, 4, 0, 1, 2, 1, 0, -1, -1, 1, 0, 0, -2, -2, 1, -1, -1, 1, 1, 0, -1, 0, 0, 0, 4, -1, 0, 2, 2, -1, 0, 0, 0, 0, -2, -1, -1, 1, 1, -1, -1, 0, -2, 1, -1, 1, -1, 4, 1, 0, 0, -1, -1, -1, 0, 1, 1, 0, 1, -2, 0, 0, 0, -1, 1, -1, 2, 2, 0, 1, 4, 2, -1, -1, 0, 1, 1, -1, 0, -2, 1, 0, 0, 1, 0, 0, 0, -1, 1, 1, 2, 0, 2, 4, 1, -1, 0, 0, 1, 0, -1, -2, -1, 0, 0, 0, 0, 0, -1, 1, -2, 0, 2, 0, -1, 1, 4, -1, -1, -1, -1, 1, -2, -1, 0, 1, 0, -1, 0, 0, -1, -1, 1, -1, -1, -1, -1, -1, -1, 4, 1, 1, 1, -2, 2, 0, -2, -1, 1, 1, -1, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 4, -1, 0, 0, 1, -1, -1, 0, 1, 0, -1, -1, 0, -2, 2, 1, 0, -1, 1, 0, -1, 1, -1, 4, 0, -1, -1, 0, 0, 0, 1, 1, -1, 1, -1, -2, 2, 0, 0, 0, 1, 1, -1, 1, 0, 0, 4, -2, 2, -1, -1, 0, 0, 1, 0, 0, 0, 2, -2, 0, 0, 1, -1, 0, 1, -2, 0, -1, -2, 4, -1, 1, 1, -1, 0, -1, 0, 0, 0, -1, 0, -2, -2, 1, 0, -1, -2, 2, 1, -1, 2, -1, 6, 2, -1, -1, 1, 1, -1, 1, 2, -1, -1, -2, -1, 0, -2, -2, -1, 0, -1, 0, -1, 1, 2, 6, 0, 0, 0, 0, -1, 2, 1, 1, -1, 1, -1, 1, 1, -1, 0, -2, -1, 0, -1, 1, -1, 0, 4, 1, -1, -1, 1, 0, 1, -1, 0, -1, 1, -2, 0, 0, 1, -1, 0, 0, 0, -1, -1, 0, 1, 4, 0, 0, 0, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, -1, 0, 4, 1, -2, 1, -1, -2, 2, 1, -1, 0, 1, 0, -1, 1, 0, 1, 1, -1, 1, 0, -1, 0, 1, 4, -1, 1, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, -1, 1, 0, -2, -1, 4, 0, 1, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 4, -1, 1, 0, -1, -2, 1, 0, -1, -1, 0, 0, -1, 0, 0, 2, 1, 1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, -2, 1, 0, -2, 0, -1, -2, -1, -1, 1, 0, 1, 1, 0, -2, -1, 2, 4, -2, -1, -1, 2, 0, 1, -1, -2, 1, -2, -1, 0, 0, 1, 1, 2, -1, -1, 0, 0, -2, -2, 4, 1, 2, -2, 1, -2, 0, 2, -1, 2, 2, 1, 1, 0, 0, 0, 0, -1, 2, 0, 0, -1, 1, 4, -1, -2, -2, -2, 0, 1, -2, 2, -1, 1, -1, 0, 0, 1, 0, 1, -1, 0, -1, -1, 2, -1, 4, -1, 2, -1, 0, 1, 1, 1, 1, -1, 2, 0, 0, 0, 0, -2, 1, 0, 1, 2, -2, -2, -1, 6, 2, 1, -2, -2, 2, -1, 0, 1, 0, 2, 2, -1, 1, -2, 0, 2, -2, 0, 1, -2, 2, 2, 6, 1, -1, 0, 2, -1, 1, 1, 2, 1, 1, -2, -1, -3, 1, 1, 1, 1, -2, -2, -1, 1, 1, 6, -1, -2, 2, -2, 0, 0, -1, 1, 1, -2, 0, 2, -2, -2, 0, -1, 0, 0, 0, -2, -1, -1, 4, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, 1, 1, -1, -2, -2, 2, 1, 1, -2, 0, -2, 0, 4, -2, 2, 1, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, 1, 2, 2, 2, 0, -2, 4, -2, 1, -1, 1, 1, 1, -1, 0, -1, 1, 0, -1, -2, 2, 2, 1, -1, -1, -2, -1, 2, -2, 4, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, -2, -1, 2, -1, 1, 0, 1, 0, 0, 1, 1, 0, 4, 0, 0, 0, 1, -1, 0, 0, 2, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1, 1, -1, 1, 0, 4, -1, 1, 2, -1, 0, 0, 0, 0, -1, 0, 1, -1, 2, 0, 2, -1, -1, 0, 1, 0, 0, -1, 4, 0, -1, 1, 0, -2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, -1, -2, 1, 0, 0, 1, 0, 4, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, -1, 0, 1, 0, 1, 2, -1, 1, 4, -1, 0, 0, 0, 0, 1, 2, 0, 1, 0, -1, -2, -2, -1, 0, -1, 0, -1, -1, 1, 0, -1, 6, -1, -1, 1, 1, 1, -1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 4, 0, -1, 0, 0, -1, -1, 1, -2, -2, -3, 2, 1, 0, -1, 0, 0, 0, -2, 0, 0, -1, 0, 6, -1, -2, -2, 0, 2, -1, 1, 0, 1, -2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, -1, -1, 6, 1, -1, 0, 0, 0, 0, 2, 1, -2, -1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, -2, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -1, -1, 2, -2, -1, 0, -1, 1, -1, -2, -2, -1, -1, 2, -1, -2, 2, 1, -2, 4, 0, -1, 1, -1, -1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, -2, 1, 1, -2, 1, 0, 0, 4, -2, -2, 0, 2, 2, 1, 2, 1, 2, 1, 2, -1, -1, 1, -1, -1, 2, -1, 1, 1, -1, -2, 4, 2, 1, -1, -1, 0, -1, -1, -2, 0, -1, -1, 0, -2, 0, -1, -1, 0, -1, -1, 1, -2, 2, 4, 0, -1, -1, 1, 0, 1, -2, -1, -1, 0, 0, -1, -1, 1, -1, 0, -1, -1, -1, 0, 1, 0, 4, -1, 0, 1, 0, -1, -2, 1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 2, -1, 2, -1, -1, -1, 6, -2, 1, 0, 2, 3, 1, -2, -3, 0, 0, 1, -1, -2, 2, 1, -2, 1, 2, -1, -1, 0, -2, 6, 1, 1, 0, -1, 0, 4, 2, 0, 1, -2, -1, 4, -2, 0, -1, 1, 1, 0, 1, 1, 1, 1, 4, 0, 1, 0, 1, 0, -1, 0, -1, -1, -1, 0, -1, 0, 0, 1, 2, -1, 0, 0, 0, 1, 0, 4, 1, 0, -1, 1, 1, -1, 1, -1, 1, 1, 0, 2, -1, 2, 1, -1, 1, -1, 2, 0, 1, 1, 4, 2, 0, 0, -1, 0, 0, -1, 1, 0, 0, 1, 1, 1, 2, -2, -2, -2, 3, -1, 0, 0, 2, 6, 1, -1, -3, 0, 0, 0, 0, -1, -1, 1, -1, 0, 1, 0, -1, 1, 1, 0, 1, -1, 0, 1, 4, 0, -1, 0, 0, 0, -1, 0, -2, -1, -2, 1, 2, -1, -1, 0, -2, 4, 0, 1, 0, -1, 0, 6, 2, 0, 2, -2, -1, 4, -2, 0, -2, 1, -1, -1, 0, 1, -3, 2, -1, 1, -1, -3, -1, 2, 6, 2, 1, -1, 2, 2, 1, 1, -1, 1, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 2, 4, -1, -1, 1, 0, 1, 1, -1, 0, 1, -2, -1, -1, 0, 1, -1, 1, 0, 0, 0, 2, 1, -1, 4, 0, 0, 1, 0, 0, 2, -2, -1, 0, -1, 0, 1, -2, -1, -1, -1, 0, 0, -2, -1, -1, 0, 4, 0, -2, 2, 0, -1, 1, -1, -1, 1, 0, -1, -1, -1, 1, 1, 0, -1, -1, 2, 1, 0, 0, 4, -1, 1, 1, -2, 1, 2, -1, -1, 0, -2, 4, 0, 1, 0, -1, 0, 4, 2, 0, 1, -2, -1, 6, -1, 0, 2, -2, -1, 0, 0, 0, 2, -2, -1, 0, 0, -1, -2, -2, 1, 1, 0, 2, 1, -1, 6, 1, 1, 1, 1, -1, -1, 0, 1, 0, 0, 2, 1, 1, -1, 0, 1, 1, 0, 0, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 1, -2, 0, 0, 2, 1, 1, -2, 0, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 4, 0, -2, 2, -1, 0, -1, 0, 2, 0, -1, 1, -1, -1, 0, 1, 0, 0, 2, 1, -2, -2, 0, 4, 0, 1, 2, 0, 1, -1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, -1, -1, -2, 0, 4, -2, 1, 1, 1, 0, -2, 1, 0, 0, 1, 1, -1, 0, 0, -1, -2, 1, 0, 1, 2, 1, -2, 4, -1, 0, 0, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -2, -1, 2, 1, -1, 4, -1, 0, 0, -1, 1, 1, 0, -1, 0, 1, -1, 1, -1, -1, 0, 1, 0, 0, 0, 1, 0, -1, 4, -1, 0, 0, -1, 1, 0, 1, -1, -2, 0, 1, 1, 0, 2, -2, 0, -1, 1, 1, 0, 0, -1, 4, 0, 0, 1, -1, 1, 1, 1, 0, -1, 0, -1, 0, 0, 1, 2, 0, -1, 0, 1, 0, 0, 0, 4, 0, 0, -2, 0, 1, -1, 0, -2, 1, -2, 0, -1, 0, 1, 2, 1, -2, 2, -1, 0, 0, 0, 4, -1, 0, 1, -1, 0, 0, 0, 0, 0, 2, 0, -1, 1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 4, -1, 1, 0, -1, -1, 0, 1, -1, -1, 1, -1, -2, -1, 2, 0, 0, 1, 1, -1, -2, 0, -1, 6, 1, -1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 4, -1, 0, 0, 1, 0, 0, 1, 2, 0, 1, -1, 0, 1, 0, -1, 1, 1, 1, -1, 0, -1, -1, 4, -1, -1, -1, 0, -1, 0, 1, -1, -1, -1, 0, 1, 0, 0, -1, 1, -1, 0, -1, 0, 0, -1, 4, 0, 0, -2, 1, 0, -2, 2, -1, 0, 0, -1, 0, 1, -2, 0, 0, 0, -1, 1, 0, -1, 0, 4, 1, 0, -1, 0, -1, 3, -1, 1, 0, 0, 0, -1, 0, -1, -2, 0, 0, 2, 1, -1, 0, 1, 4, -1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, -2, 0, -1, 4, -1, 0, 1, 0, -1, 0, 0, -1, 0, -1, 1, -1, -2, 0, -1, 1, 0, -1, 1, -1, 1, -1, 4, 0, 0, 0, 1, 2, 1, -2, 2, -1, 0, 0, 0, 2, -1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 1, -1, -1, 1, 2, 1, 0, 0, 2, 0, -1, 0, 1, 2, 2, 1, -2, -1, 2, 1, 0, 1, 6, -3, -1, -2, -1, 0, -1, 1, -2, 1, 0, -1, -1, 1, 0, -1, 2, 3, 0, 0, 0, -1, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 1, 2, -2, 2, -1, 0, 0, 2, 1, 2, -1, -1, -2, 2, 1, 2, 1, 2, 4, -1, 2, 0, 2, 0, -1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, -1, -1, 6, -3, 1, 1, -3, 1, -1, -1, -1, -3, 1, 0, -2, -1, -1, -1, 1, -3, -2, 1, 2, 2, -3, 6, -2, 1, 0, -2, 2, -1, 2, 3, 1, 0, 1, -1, 2, -1, 1, 3, 1, 1, 0, 0, 1, -2, 4, 0, -1, 1, 0, -1, -2, 0, 0, -1, 1, -1, -1, 0, -1, -2, 0, 0, 1, 2, 1, 1, 0, 4, 0, -1, 0, -1, 0, -1, 1, 1, -1, 0, 0, -1, 1, 1, 0, 1, 2, 0, -3, 0, -1, 0, 6, -2, 0, 0, 1, -1, 0, 1, 2, 1, -2, -1, 1, 1, 2, 0, -2, -1, 1, -2, 1, -1, -2, 4, -2, 1, -1, 1, -2, 0, -2, 1, 0, 2, -1, 0, 0, 0, 2, 2, -1, 2, 0, 0, 0, -2, 4, -1, 0, 0, 2, 1, 1, -1, 1, -1, 0, 0, 0, 1, -1, 0, -1, -1, -1, -1, 0, 1, -1, 4, 0, 1, -1, 1, -1, 1, 1, 2, -1, 1, 0, -1, 0, 0, -1, 2, -2, 0, 1, -1, 0, 0, 4, 0, -1, 0, -1, 0, 0, 0, 0, 2, 0, 1, 0, 1, -3, 3, 0, -1, -1, 1, 0, 1, 0, 6, -1, 0, 0, -1, 2, 2, -1, 2, 1, -1, 2, 1, 1, 1, 0, 1, 0, -2, 2, -1, -1, -1, 4, 0, 1, -1, 0, -2, 1, -1, 0, 1, 1, 2, 0, 0, -1, 1, 1, 0, 1, 1, 0, 0, 0, 4, -1, 0, 0, 0, 1, 1, 1, 1, 2, 0, -2, 1, 1, -1, 2, -2, 1, -1, -1, 0, 1, -1, 6, 0, 0, -2, 1, 0, 1, -1, -1, 0, -1, -1, -1, 0, 1, 1, -1, 1, 0, -1, -1, 0, 0, 4, 1, 1, -1, 1, 0, 0, -1, 1, -1, 2, -1, 0, -2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 4, 1, -1, 1, -1, 0, -2, 0, -1, -1, 0, -1, -1, 2, -1, 2, 0, 2, -2, 0, -2, 1, 1, 4, -2, 1, 0, -1, 2, 0, 1, 1, -1, 1, 1, -1, 0, -1, 0, -1, 1, 1, 1, -1, -1, -2, 4, 0, 1, 1, 1, 1, -3, 3, -2, 1, 1, 0, 0, 1, 2, 2, -1, 1, 0, 1, 1, 1, 0, 6, 2, 0, 2, 1, -2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 1, 2, 4, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, -1, 1, -1, 1, 1, -1, 0, 0, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, -1, 2, 2, 1, 1, 1, 2, -1, 0, 1, 1, 1, 0, 1, 1, -1, 0, -1, 2, 4, 1, 0, -1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, -1, -1, -1, 1, 0, 0, 2, 1, 4, 2, 0, 0, 2, 0, -1, 0, 1, 0, 0, 2, 0, 1, -1, 0, 1, 0, 1, 1, 2, 0, 2, 6, -2, 2, 2, 1, 1, 2, 3, -1, 1, 2, 0, 2, 2, -1, 0, 1, 2, -1, -1, -1, 0, -2, 4, -2, 0, -1, -2, -2, 0, 1, 0, 0, 0, 0, -1, 2, 0, -2, -1, 0, 2, 1, 0, 2, -2, 4, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, -1, 1, 1, 0, -2, 2, 2, 2, 2, 0, 1, 4, 2, -1, 1, 2, 0, 1, 2, 1, 2, -1, 0, 0, 0, 1, 0, 1, 2, 0, 1, -1, 2, 2, 4, 1, 1, 1, 0, 0, 0, 0, 2, 0, -2, -1, 2, 0, -1, 1, 0, -1, 1, -2, 2, -1, 1, 4, 1, 1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, -1, 1, 1, 0, 2, -2, 2, 1, 1, 1, 4, 1, -1, 0, 1, 1, 0, 0, -2, 0, 2, 0, -1, 2, 1, 1, 3, 0, 2, 2, 1, 1, 1, 6, -1, 2, 1, 1, 3, 1, 0, -1, 0, 0, -2, -1, 0, 0, -1, 1, 0, 0, 0, -1, -1, -1, 4, 0, -1, 0, 1, -1, -1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, 2, 0, 4, 0, 0, 2, 0, 0, -1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, -1, 1, 1, -1, 0, 4, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 0, 0, 0, 4, 2, 0, -1, -1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, -1, 0, 3, 1, 2, 0, 2, 6, 1, -2, -2, 2, 1, 0, 0, -1, -1, 2, -1, 0, -1, 0, 2, 0, 1, -1, 0, -1, 0, 1, 4, 0, -1, 0, 1, 0, 1, -1, 0, -1, 2, -1, 0, -2, 0, -2, 0, -1, 0, 0, -1, -2, 0, 6, 2, -4, 0, 0, 1, -1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, -1, -2, -1, 2, 4, -2, 0, 0, -1, 1, 0, 1, -2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, -4, -2, 6, 1, 0, 0, 0, 1, 2, -1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 4, 1, -1, 0, 1, -1, 0, -2, 0, -1, -1, -1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, -1, 2, -1, 2, 1, 1, 2, -1, 2, -1, 1, 0, 0, -1, 0, -1, 1, 1, 4, 0, -2, -1, -1, -1, 1, 0, 1, 2, 1, -2, 0, -2, -1, 1, 1, -1, -1, 1, -1, -1, 0, 4, -1, 2, 2, -1, 0, 0, -2, 1, -1, 0, 1, 0, 1, -1, -1, -1, 1, 2, 0, -1, -2, -1, 4, -1, 0, 0, -1, -1, 1, -2, 0, 0, -2, 2, 1, -1, 0, 0, 0, -1, -1, -1, -1, 2, -1, 4, 2, 0, 1, 0, -1, 0, -2, 1, 2, 0, 1, 0, -1, 0, 1, 2, 0, -1, -1, 2, 0, 2, 4, -1, 1, 0, 0, 0, 0, 1, 0, 1, 2, -1, -1, 1, 1, 0, -1, 2, -1, -1, 0, 0, -1, 4, -2, 2, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, 1, -1, 2, -1, 1, 0, -1, 1, 1, -2, 4, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, -1, 2, 0, 0, -1, 0, 0, 2, 0, 4, -1, 0, 1, 0, 1, -1, 0, 1, 0, 1, 0, -1, 1, 1, 1, -2, 1, -1, 0, -1, 0, -1, 6, -1, 2, 0, -1, 0, 1, -1, 0, -1, 0, -2, -2, 1, 2, 1, -2, 0, 0, 0, 0, 0, -1, 4, 1, -2, 2, -1, 0, 0, 1, -1, -1, 2, 0, 2, 1, -1, 0, -2, 0, 0, 0, 1, 2, 1, 4, -1, 0, 0, 1, -1, 1, 0, -1, -1, -1, -1, -2, 0, 0, 1, 1, 0, 0, 0, 0, -2, -1, 4, -1, 1, 0, -1, -1, 1, 1, -2, 1, 2, 0, 1, -2, 2, 0, 1, 0, 1, -1, 2, 0, -1, 6, 0, 1, -1, 0, -1, 0, 3, 1, -1, -2, 0, 2, 0, 1, 0, -1, -1, 0, -1, 0, 1, 0, 4, 1, -2, -1, 0, 0, 0, 0, 1, -1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 4, -1, -1, -1, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, 1, -1, 0, -1, -1, -1, -2, -1, 4, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1, 1, -1, 0, -1, -1, 0, 4, 1, -2, 1, -1, -1, -1, -1, 0, 0, 1, 0, 1, 1, -1, -1, 0, 1, -1, 0, -1, 1, 1, 4, -1, -1, 0, 0, -1, 1, 0, 1, 1, 1, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, -2, -1, 4, 0, 1, -1, 1, 2, -1, 2, 0, -1, 1, -1, -2, 2, -1, -2, 3, 0, 0, 0, 1, -1, 0, 6, -1, 1, -1, 0, -1, 0, -1, 2, -1, 1, -2, 0, -1, 1, 1, 0, 0, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 2, 1, -2, -1, -1, -1, -1, -2, 0, -1, -1, 0, 2, 2, 2, -2, 0, 0, -2, 4, 1, 0, -2, -1, 2, 1, 1, 2, 1, 2, -1, 0, 1, 0, -1, -2, -2, 2, 1, 1, 0, 1, 4, 1, 1, 1, 1, 1, 2, 0, -1, -1, -2, -1, 2, 1, 0, 1, -2, -1, 2, 1, 1, 0, 1, 4, -1, -1, 0, 1, 0, 1, -2, 1, 0, -2, 1, -1, -1, 1, 0, -1, 0, -1, 2, -2, 1, -1, 6, 2, -1, -2, 1, -2, -1, -4, 1, 0, 0, 0, 1, 3, 2, -3, -1, 2, 1, -1, 1, -1, 2, 4, -1, -1, 1, -2, 0, -3, -1, -1, 1, 2, 2, 1, -1, -1, 1, 0, -2, 2, 1, 0, -1, -1, 4, 0, 2, 2, 0, 1, 0, 1, 1, 1, -2, 0, -2, 0, 0, 0, -1, 1, 1, 1, -2, -1, 0, 4, 0, 1, 0, 1, -1, 0, 0, 0, -1, 0, -2, 0, 1, 0, -1, 1, 2, 0, 1, 1, 2, 0, 4, 1, 0, -1, 0, -1, 2, 2, -1, 0, -1, 0, 0, 0, -1, 2, 0, 1, -2, -2, 2, 1, 1, 4, 1, 2, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, 1, -1, -2, -1, 0, 0, 0, 0, 1, 4, 0, 0, 1, -1, 0, 1, -1, 1, 1, 0, 0, -2, 2, -1, 1, -4, -3, 1, 1, -1, 2, 0, 6, -1, 1, 0, -1, -2, -2, -1, 2, 0, -1, 0, -1, -2, 0, 1, -1, 0, -1, 0, 0, 0, -1, 4, 0, -1, -1, -1, 0, 2, 0, -2, 0, -1, 0, -1, -2, 0, -1, 1, 0, -1, 0, 1, 1, 0, 4, -1, 0, -1, 1, 0, -1, 0, 0, -1, 1, 2, 1, 0, 1, 1, 0, 2, 0, -1, 0, -1, -1, 4, 1, -1, -1, -2, 0, 1, 0, 0, 0, 1, -1, 0, 2, 1, 0, 2, 0, 0, -1, -1, 0, 1, 4, 1, 0, -2, 0, 1, 0, 2, -1, 0, -1, 1, 2, -2, -1, -1, -1, 1, -2, -1, -1, -1, 1, 4, 0, 1, 0, 1, 1, 2, -2, 1, 1, 3, 1, 0, 0, 0, -1, -1, -2, 0, 1, -1, 0, 0, 6, 1, -4, 0, 0, 2, -2, -2, 0, 2, -1, -2, -2, -1, 0, 1, -1, 2, 0, -2, -2, 1, 1, 6, -1, -2, 0, -2, 2, -1, -1, -3, -1, 0, 0, 0, 1, 1, 2, 0, -1, 0, 0, 0, -4, -1, 6, 1, 0, 0, 1, 2, 0, -1, 1, 0, 1, 0, 0, 0, 0, -2, 0, 1, 1, 1, 0, -2, 1, 4, 0, 0, 1, 1, -1, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -2, 1, 2, 2, -1, -1, -2, 1, 1, -1, 0, 1, 0, 0, 0, -2, -2, 1, -1, 1, 4, 0, -2, 0, 0, 0, -2, 1, 1, 1, 2, -2, 1, 1, -1, -1, -1, -1, -2, -1, -1, 1, 0, 4, -2, 2, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, 1, -2, -2, -2, 6, -2, 1, 1, 2, 1, 2, -2, -1, 2, -2, -2, -1, 2, 2, 2, 0, -2, 1, 1, 0, 2, -2, 4, -1, 0, 0, -1, -1, 1, 0, -1, 0, 0, 1, 0, 1, -1, 0, 2, -1, 2, 0, 0, 1, -1, 4, 1, -1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, -2, 0, 1, 2, 0, 0, 1, 0, 1, 4, 1, 0, -1, -1, 1, -1, -2, 0, -1, 2, 1, -1, -2, -1, 0, -1, -2, -1, 2, 0, -1, 1, 4, 0, 0, -1, 0, 1, -1, 0, 1, 2, 1, 2, 0, -1, 0, -1, 1, -2, 1, -1, -1, 0, 0, 4, 1, 0, 1, -1, 0, -1, 0, -1, 0, 1, 0, -1, -1, -2, 1, -1, 2, -1, -1, -1, 0, 1, 6, 1, -1, 0, 1, -2, -1, -1, -1, 2, -1, 0, 0, 1, 1, 0, -2, 1, 0, -1, -1, 0, 1, 4, 0, -1, 2, 1, 0, -2, -2, 0, -1, 2, -1, 1, 2, 0, -1, 0, 0, 1, 0, 1, -1, 0, 4, -2, -1, 1, 0, 0, 0, -1, -2, -2, -1, -1, -2, 0, 2, -1, 1, -1, 1, -1, 0, -1, -2, 4, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, -2, 0, 0, -2, -1, 0, 1, 2, -1, 0, 4, 0, 1, -2, -2, 0, 0, 2, 0, 1, 1, 0, -2, 0, 0, 0, 0, -1, -2, 1, 1, 0, 0, 4, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 1, -1, 4, 0, 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 2, 2, -1, -1, -2, 0, 1, -2, 0, 0, 4, 2, 0, 0, -1, 1, 0, -1, 0, 2, 1, 0, 1, 1, 0, -1, -2, 0, 1, -2, -1, 0, 2, 4, 0, 1, 0, 0, -2, -1, -2, 2, -1, -1, -1, 2, 1, 2, 0, -1, 1, 0, 0, 0, 0, 0, 4, 0, -1, 0, -2, -2, 1, 0, 0, -2, -2, 0, 0, -1, -1, -2, 2, 0, 0, 0, 0, 1, 0, 6, 2, 1, 1, -1, 2, -2, 2, 0, -1, -1, -1, 0, 2, -2, 1, 2, -1, 1, -1, 0, -1, 2, 6, 0, -1, -1, 1, 1, -1, 1, 0, 0, -1, 0, -1, -1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, -1, -2, 0, -1, 0, -2, -1, -1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, -2, 4, -1, -1, 1, 2, -1, 1, 1, 2, 1, 0, -1, 0, 0, 0, -1, -1, -1, 0, -1, -2, 1, -1, 4, -1, 0, 0, -1, 0, 1, 0, 0, 1, 0, 1, 2, -1, 0, 1, 0, -1, 2, -1, 2, -1, -1, 6, 1, -1, -1, 1, -1, -1, 1, -3, 0, 0, 2, -1, 1, -1, -1, 1, 2, -1, -1, 1, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -2, 1, 1, 0, -1, 1, -2, -2, 2, 0, -1, 0, 4, 0, 2, 0, 2, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -1, -1, 0, 0, 4, 0, 0, -1, -2, 1, 2, -1, -2, 1, 1, 1, 2, 1, -1, 2, -1, 1, 0, 1, 0, 2, 0, 4, 0, 1, 2, -1, 0, -2, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, -1, 0, 0, 0, 0, 4, 0, 0, -1, 1, 0, 2, 0, -1, -1, 1, -1, -1, -2, -2, 2, 0, -1, 0, 2, -1, 1, 0, 4, 2, 1, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, 1, 0, 1, -2, 2, 0, 2, 4, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, -1, 0, 1, -3, 0, 1, 1, -1, -1, 1, -1, 4, 0, 1, -1, 0, 0, 2, 1, 0, -1, 1, 1, -1, 0, 0, 0, 0, 2, 0, 1, -2, -1, 0, 4, -1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, -1, -1, -2, 0, 0, 0, 1, -1, 4, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, -1, 0, -2, 0, 2, 0, 0, -1, 0, 1, 6, 0, -1, -1, -1, 0, 0, -2, 1, 0, -1, -1, -2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 1, 2, -1, 2, 1, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 4, 2, 0, 0, 1, 0, 0, -1, 1, -1, 1, 0, 1, 0, -1, 0, 0, 2, 0, 1, -1, 0, 2, 4, 1, 0, 1, 0, 0, -1, 0, -1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, -1, 1, 0, 1, 4, 0, -1, 1, 1, 0, -1, 1, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 4, 1, 2, 1, -1, 2, 2, 1, -1, -1, 1, -1, -1, 1, -1, 0, 0, 0, -1, 1, 1, -1, 1, 6, -1, 1, -2, -1, -1, -2, -1, 2, -2, -2, -1, -2, 1, 1, 0, -2, 2, 0, 0, 1, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 2, -2, -1, 0, -2, 1, -1, 1, -1, 0, 0, 1, 0, 2, 0, 1, 0, -1, 0, -2, 6, 2, -2, 3, 3, 2, 1, 1, 0, 0, 2, 0, 2, -2, -2, -1, 2, 0, -2, -1, 1, 0, 2, 4, -1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, -1, -1, 0, 0, 1, 0, -2, 1, 2, -2, -1, 4, -2, -1, -1, -2, 1, -1, 1, 0, 0, -1, 2, 1, 1, 0, 0, 0, 1, 1, -2, 3, 1, -2, 4, 2, 0, 2, -1, 0, 0, 1, -1, 1, -2, -1, -2, 0, -1, 0, -1, 0, -1, 3, 2, -1, 2, 4, 0, 1, 1, 0, 0, 2, 1, 2, -1, -2, -1, 0, 1, 0, -2, 0, 0, 2, 0, -1, 0, 0, 4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, -1, -2, 1, 1, -2, 2, 1, 0, 4, -2, 0, 0, 1, 0, 1, -2, 0, -2, 0, -1, 0, 0, 0, 1, 1, 1, 1, -1, 1, 0, -2, 4, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 4, 0, 0, 1, 1, -1, 1, -1, -1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 4, -1, 0, 1, 0, 0, 1, 1, 1, -1, 0, 0, -1, 2, 1, 0, 1, 2, 0, 1, 1, 0, -1, 4, 0, 1, -1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 2, -1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 4, -1, -1, 0, 0, 2, 0, -1, 1, 1, -2, -1, 2, -2, -1, 0, -2, 1, -1, 0, -1, 0, -1, 4, 0, 1, -1, 1, 1, 0, 0, 0, -2, -1, 1, -1, -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, 4, 0, -1, -1, 1, 3, 0, 2, -1, 0, 1, -2, -1, 0, -2, 1, -1, 1, -2, 0, 0, 1, 0, 4, 1, 1, -1, -1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, -1, 0, -1, -1, 1, 4, 0, -2, 0, 1, 1, 0, 1, 0, -1, 1, 0, -1, 2, 1, 1, 0, 0, 2, 1, -1, 1, 0, 4, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 1, 1, -1, -2, 0, 4, 1, -1, -1, -1, -2, 1, -1, -2, 1, 0, 0, 1, 0, 1, 0, -1, 0, 3, -1, 0, -1, 1, 6, -1, 0, 1, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, 0, 1, 0, 0, 1, -1, 1, 0, 1, 1, 1, -1, 0, -1, 0, 1, 1, -1, 0, 4, -2, 0, 2, 2, 0, 0, -1, 1, 1, 0, -1, 1, 2, 0, -1, 0, -2, 0, 1, 0, -1, -2, 6, 2, -3, -1, 0, -2, -1, 0, -2, -2, -1, 0, 1, -2, 1, 0, 3, 0, 0, 0, 0, 0, 2, 4, -1, -1, 0, -2, -1, 0, -1, -2, -1, 1, 2, 0, -1, 1, 0, -1, -1, -1, 0, 2, -3, -1, 6, -1, 2, 1, -2, 2, 1, 1, -2, 2, -1, 2, -2, 1, -2, -1, 0, 2, 1, 2, -1, -1, -1, 6, 0, -1, 0, -2, 1, -1, 0, -1, 3, -1, -1, -2, -1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 4, -1, -2, -1, -1, -1, -2, 1, 1, 1, 0, 1, -1, -1, 1, 1, 0, 0, -2, -2, 1, -1, -1, 4, 2, 1, 0, 2, 1, -1, -2, 0, 0, -1, 0, 1, 0, 0, 1, -1, -1, -1, -2, 0, -2, 2, 4, -1, 0, 1, 2, -1, -1, -1, 1, -1, 1, 1, 0, -1, -1, 1, 0, 0, 2, -2, -1, 1, -1, 4, 1, 1, -1, 1, -1, 0, -1, 1, 0, -1, -1, 0, 1, 1, -2, -1, 1, 1, -1, 0, 0, 1, 4, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, -2, -2, 1, -1, -1, 2, 1, 1, 0, 4, 2, -1, -2, 0, 0, -1, 0, 1, 0, 0, 1, -1, -1, -1, -2, 0, -2, 1, 2, -1, 0, 2, 4, -1, -1, -1, 1, -1, 1, 1, 0, -1, 1, 1, 0, 1, 2, -1, 1, -1, -1, 1, 0, -1, -1, 4, 1, 0, -1, 2, 0, -2, 1, 0, 1, 2, 1, 2, -1, 3, 1, -2, -1, -1, 0, -2, -1, 1, 6, -1, -1, -1, -1, 0, 1, -1, -1, 0, -2, 0, 2, -1, 1, 0, -1, 0, 1, 0, -1, 0, -1, 4, 0, 1, -2, -1, -1, 1, 0, -1, 1, -1, -2, -1, 0, 0, 1, -1, 0, 0, 1, -1, -1, 0, 4, 0, 1, 0, 1, 0, -1, 0, 0, 1, 1, -2, 1, -1, -1, 1, 0, -1, -1, 2, -1, 1, 0, 4, 0, -2, 0, 0, 0, -2, 3, 0, -2, -1, -1, 0, 1, 0, -1, 0, 1, 0, -1, -2, 1, 0, 4, 0, 0, 0, 1, 0, 0, -1, -1, 2, -1, 1, 1, -1, 0, 1, 1, -2, 0, -1, 0, -2, 0, 4, 1, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, 1, -1, 1, 0, 0, 1, 4, 0, -1, 0, 0, -1, 2, 0, 1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 2, -1, -2, -1, -1, 1, 1, -1, 0, 1, 0, 0, 2, 2, 2, 0, -1, 1, 1, -2, 4, 2, -2, 2, 2, 1, -1, -2, 0, 1, -1, -1, 0, -1, -1, -1, -2, 0, 1, -1, 0, -1, 2, 4, -1, 0, 1, -1, -1, 0, -1, -1, 1, 0, 1, -2, -2, -2, -2, -1, -1, 1, 1, 2, -2, -1, 4, -1, -2, -1, -1, 1, -1, -2, 1, 1, 1, 1, 2, 1, 2, -1, -2, 0, 1, -1, 2, 0, -1, 4, 0, 0, 0, -2, 1, 2, -2, 0, -1, 0, -1, 1, -1, -1, 2, -2, 1, -2, 2, 1, -2, 0, 4, 2, 0, 0, -1, 1, 0, -2, 0, -1, -1, -2, -2, 1, 1, -1, -1, -1, 1, -1, -1, 0, 2, 4, 0, 0, 1, 2, 0, -1, 0, 1, 1, -1, -1, 2, 2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 4, 1, 1, 2, 0, 0, -1, 0, -2, 0, 0, 1, 2, -1, 0, 1, -2, 0, 1, -2, 0, 0, 1, 6, -2, -2, 2, 2, 2, 0, -2, -1, 0, 0, -2, 2, 0, 1, 0, -1, -1, 1, -1, 1, 1, -2, 6, 2, -2, 0, -1, 0, 1, 2, 1, 2, 2, -1, 0, -1, 1, -1, -2, 2, 1, 2, 2, -2, 2, 6, -2, -1, -3, 1, 0, 0, -1, 1, 4, -3, 0, 0, -1, 1, 1, -2, 0, 0, 0, 2, -2, -2, 4, 1, 1, -1, -1, -1, 0, 0, -2, 0, -1, 1, -1, 0, 1, 0, -2, -1, 0, 2, 0, -1, 1, 4, 0, 1, -1, 1, 0, 0, -1, 1, 1, 0, 0, 1, 1, -1, 0, 0, -1, 2, -1, -3, 1, 0, 4, -1, 0, -1, 0, -1, -2, 2, 0, 0, -1, -2, 1, 0, -1, 1, 0, 0, 0, 1, -1, 1, -1, 4, 1, 0, 0, 1, 1, -1, 0, 2, -1, -2, 2, -1, -1, 1, -2, -2, 1, 0, -1, -1, 0, 1, 6, 2, 2, 0, 0, 0, 0, 2, -1, -2, 1, 1, -2, -1, 0, -1, 2, 0, -1, 1, -1, 0, 2, 4, 2, 0, 0, 0, 1, 2, -2, -2, 2, -1, -2, -1, 0, 0, 1, -1, 0, 0, 0, 0, 2, 2, 4, 0, -1, 1, 0, 0, 0, -1, -1, -1, 1, 2, 1, 0, 2, 1, 0, 0, -1, 1, 0, 0, 0, 4, 1, -1, -1, -1, 1, -1, -2, 2, 1, 2, 2, -2, 2, 4, -2, -1, -2, 1, 0, 0, -1, 1, 6, -2, 0, 1, -1, 1, 0, -2, -1, -2, -1, 2, -1, -3, 0, 1, 2, -1, 0, 0, 1, -1, -2, 6, 0, 1, 0, 1, 1, 1, -1, -2, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, -2, -2, 0, -1, -1, -2, 1, 2, -1, 0, -2, 2, 0, -2, 2, 2, 1, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 0, 1, 1, 1, 0, 0, 1, 0, -1, 1, 2, 0, 4, -2, 0, -1, -2, 0, -1, 0, -2, -2, 1, 1, -1, 0, -2, 2, -1, -2, 0, 1, -2, 0, -2, 4, -1, 2, 2, 2, -1, 0, 2, 1, -1, -2, 2, -1, 2, -2, 1, 2, -1, 0, 1, 0, 0, -1, 4, 1, -1, -1, -1, 1, 0, 1, 2, 1, -1, 1, 1, 1, 1, -1, 2, 1, -1, 0, -1, 2, 1, 4, 1, 1, -2, 0, 1, 2, 1, -1, 1, 1, 1, -1, 2, 1, 1, 0, -2, 0, -2, 2, -1, 1, 4, 0, 1, 0, 2, 0, -2, -2, 0, 0, 2, -2, 0, 2, -1, -2, -2, 0, 0, 2, -1, 1, 0, 4, -1, 1, 0, 1, 0, -1, 2, 0, 0, -1, 0, 1, -2, 0, 0, 0, -1, -1, -1, -2, 1, -1, 4, 0, 0, -1, -2, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0, 4, 0, 1, 0, -1, 0, 0, 1, 1, 1, -1, -2, 0, -1, 1, -2, 2, 0, 1, 2, 0, 0, 0, 4, 0, -1, -1, 1, 0, 1, -2, 0, 1, 0, 0, -2, -2, -2, 1, 1, 2, 0, 1, -1, 1, 0, 6, 0, -2, 0, 1, 2, -1, 2, 1, 0, 0, 1, 0, 1, -1, 2, 1, -2, 0, -2, 0, -1, 0, 4, 1, 0, 0, -1, 1, 0, -1, 2, 1, 2, 1, 1, -2, 1, -1, -2, -1, 0, -1, -1, -2, 1, 4, -1, 1, -1, 1, 0, -1, 1, 1, -1, 1, -1, 2, -1, 1, 0, 2, 0, 0, 1, 0, 0, -1, 4, -1, 0, -1, 0, 1, -1, 1, 0, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 4, 0, 0, 1, 0, 0, 0, -2, 0, -2, 2, 1, 1, 2, 0, -1, 1, 1, 2, -1, -1, 0, 0, 6, -2, 2, 2, -2, 0, 2, 0, 2, -2, 1, -1, -2, -1, 0, 1, -2, -1, 1, 1, -1, 0, -2, 4, 0, -2, 1, 1, 0, 1, -1, 1, 1, 2, 0, 0, -1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 4, 0, 0, 1, -2, 0, -2, 2, -1, 1, 2, 1, 0, -1, 1, 1, -1, -1, 1, 0, 2, -2, 0, 4, 0, -1, 2, -1, 0, -1, 2, 1, -1, -2, 0, -2, 0, 0, 2, 1, -1, 0, -2, 1, 0, 0, 6, 0, 2, 1, 1, 0, 1, 0, -2, 0, -1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, 1, -2, 1, -1, 1, 2, 0, 0, 1, 1, -2, 1, -1, 1, -1, 2, 1, 4, -2, -1, 2, -1, -1, 0, 2, -1, 1, 1, 1, 1, 2, 0, -1, 0, -1, 1, 1, 2, -1, -2, 4, 0, -2, 1, -1, -1, -2, 2, -1, -1, 0, -1, 0, -1, 0, 1, 2, -1, 0, 0, 1, -1, 0, 4, -1, 2, 2, 0, -1, 1, 1, 1, -2, -1, -2, 1, -1, 1, -1, 1, -1, 0, 1, 2, -2, -1, 4, -2, 0, -1, 2, -2, 1, 1, 0, 2, 0, 1, -1, -1, 0, 0, 0, 2, 1, -1, 1, 2, -2, 4, 0, -1, -1, 1, 1, 1, 0, -1, 0, 1, -1, 2, 0, 0, 0, -1, 1, -1, -1, 2, 0, 0, 4, 0, 0, -1, 0, 1, -2, 0, -1, 1, 0, 0, -1, 1, -2, 0, -2, 0, -1, 0, -1, -1, 0, 4, -1, 1, 0, -1, 0, 0, 0, 0, 2, -1, -1, 1, 0, -2, 1, 2, -2, -1, 2, -1, 0, -1, 4, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 2, -1, -1, 2, 1, -2, 1, -1, 1, -1, 4, -1, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, -1, 1, 1, -1, 1, 1, 1, 0, 0, 0, -1, 4, 1, -1, 0, -1, 2, -1, 0, -1, 0, 1, 1, 2, 1, -1, 1, 1, 1, 1, -1, 1, 0, 1, 4, -1, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, 0, -2, 0, 0, -2, 0, 0, 0, -1, -1, 4, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 2, -1, 0, 0, 0, -1, 0, 0, 1, 4, 2, 0, -1, 0, 1, 1, 0, -1, 1, 2, 0, -2, 0, 0, -1, 0, 0, 0, -1, 0, 2, 2, 6, 0, -1, 2, 1, 2, 0, 0, 1, 0, -1, 1, 1, 1, 1, 0, 0, -1, 2, 1, -1, 0, 0, 4, -1, 1, 0, 0, -1, 1, -2, -1, 0, -1, -1, -1, 0, 2, -1, 0, -1, -1, 0, -1, -1, -1, 4, -1, -1, -1, 0, -2, 1, 0, 1, 1, -1, 2, 0, -1, -1, 1, 0, 0, 0, 0, 2, 1, -1, 4, 1, 1, 0, 0, -1, -1, 2, -1, 0, 0, -1, -1, 0, 1, -1, -1, 0, 1, 1, 0, -1, 1, 4, -1, 0, 0, 1, 1, -1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, -1, 1, -1, 4, 0, 0, -1, 1, 0, -1, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 4, -1, 2, 2, 0, 0, 2, -1, 0, -2, 2, -1, 1, 1, 0, -1, 0, 1, -2, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 2, 2, -2, -1, -2, 1, 0, -2, -1, 2, -1, 1, 2, 2, -2, -2, 0, 1, -1, 4, -1, -1, 0, -2, -1, -1, 2, 1, 0, 0, 2, -2, 2, -1, 0, 0, 2, 0, -1, 1, -2, -1, 4, 0, -2, -1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, -2, -2, 0, 2, 0, -2, -1, -1, 0, 4, -1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, -1, 2, 0, -2, -1, 4, 1, -2, -2, -2, -1, -1, -1, -1, 1, -2, -1, 1, 2, -2, -2, -1, 0, 2, -2, -1, 1, 1, 4, 0, -1, -1, -1, 0, -1, -2, 2, -1, 1, 1, 1, -2, -1, 1, 0, -2, -1, 2, 2, -2, 0, 4, 2, 1, -1, 0, 2, 0, -1, 0, 0, -2, -2, 0, 2, 0, -2, -1, -1, 1, 1, -2, -1, 2, 6, 2, 2, 2, 0, 0, 0, -2, -1, -1, -2, 2, 2, 0, -1, -2, 2, 1, 0, -2, -1, 1, 2, 6, 1, 2, 1, 2, -1, 0, 0, -2, -2, 3, 2, 1, 0, 1, 1, 0, 0, -1, -1, -1, 2, 1, 6, 0, -1, 1, 1, 1, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 2, 2, 0, 4, -1, 1, 0, -1, 0, 0, 0, 2, 0, 1, 0, -2, 0, 2, 0, -1, -1, 2, 0, 1, -1, -1, 4, 0, -1, 0, 0, -2, -2, -1, 1, 0, -1, -1, 2, 0, 0, -1, -2, 0, 0, 2, 1, 1, 0, 4, -2, 2, 0, 0, -1, 3, 1, 0, 1, 2, -2, 0, 0, 1, 2, -1, 0, -1, 1, 0, -1, -2, 4, -2, 1, 1, 1, -2, -1, 1, 0, -1, 2, 1, 0, -2, -1, 0, -2, 0, 1, -1, 0, 2, -2, 6, 0, 0, -1, 2, 1, -1, 1, 1, -1, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 4, 1, 0, -1, 0, 2, 1, 2, 0, -2, 0, 1, 1, -2, -1, -2, 2, 0, -2, 0, 1, 0, 1, 4, 2, 0, -2, 0, 2, 2, 0, -2, -1, 2, 1, -2, -2, -2, 0, 0, -2, -1, 1, -1, 0, 2, 4, -1, -2, 0, 1, -2, 2, 0, 1, -2, -2, 0, 2, 3, 2, 2, -1, 3, -2, 2, -1, 0, -1, 6, 1, 0, 1, -2, 0, 2, 1, -2, -1, 2, 2, 2, 0, 0, 1, 1, -1, 1, 0, -2, -2, 1, 4, 1, -1, 0, -1, 0, 1, -1, 1, 0, 0, 1, -1, 1, 0, 0, 1, -1, 2, 0, 0, 0, 1, 4, 0, 1, 1, -2, -1, 0, 0, -2, -1, 0, 1, 0, -1, 1, 0, 1, 1, 2, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, 2, -1, 1, -1, 2, -1, -1, 1, 1, 1, -1, 1, 1, 2, -1, 2, 1, 4, -2, 2, 1, -2, 0, 1, 0, -2, 1, 0, -2, -1, -1, 0, 0, -1, 0, -1, 1, -1, -1, -2, 4, -2, -1, 1, -1, -1, 0, 1, -1, -1, 2, 0, 1, 0, -1, 1, 1, -1, -1, -1, 1, 2, -2, 4, 2, 0, 0, 1, -1, -2, 1, 0, -2, -1, 0, -1, 1, -1, 1, 1, 1, -1, 2, 1, -1, 2, 4, 0, 0, -1, 1, -1, 2, 0, -1, 1, 0, 1, -1, 1, 2, 2, -1, 1, -2, -2, 1, 0, 0, 4, -2, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, -2, 4, -1, 0, 1, 1, 0, -1, 1, 1, 0, 1, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 4, -2, 0, -1, 1, 0, -2, -1, -1, 0, -1, -1, -2, 1, -2, 1, 0, 0, -1, 1, 0, 0, -2, 4, -1, 0, -1, 1, 1, 1, 1, -1, 1, 0, 1, -1, 3, -1, -2, 1, -2, -1, 0, 1, 0, -1, 4, 0, 1, 1, 0, 0, 1, 0, 1, -1, -1, -1, -1, 2, 1, -1, 1, 2, -1, 1, -1, 0, 0, 4, -1, -1, 1, -1, 1, 0, 0, 1, 2, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, -1, 1, -1, 4, -1, -1, -1, 0, 1, 1, 0, 0, -1, -1, -1, -2, 2, -2, -1, 1, -1, 0, 1, 1, -1, -1, 4, 1, 1, 0, -1, 0, -1, 0, 0, 1, 1, -1, 0, -1, 1, 0, 1, -2, 1, 0, 1, -1, 1, 4, 1, 0, 0, 0, 0, 2, 0, 3, 1, -1, 1, 0, 0, 0, 1, -1, 1, 0, -1, -1, 1, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 1, 1, 1, 0, 0, 0, 0, 4, -1, 2, 0, 0, -1, 1, -1, 0, -1, 1, -1, 0, 1, 0, -1, 0, 0, 1, -1, 0, 0, -1, 4, -1, 0, 1, 1, 0, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, 2, -1, 4, 1, 1, -2, 1, 1, 0, 1, 1, 2, 0, 0, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 1, 4, 1, -1, 0, 2, -1, -1, 1, 2, 0, 1, -2, 1, -1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 6, 0, 3, -1, 1, -1, 1, -1, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, 1, -2, -1, 0, 4, -1, 2, -1, -1, -1, 1, 0, 1, -2, 3, -1, 1, -1, 1, 3, 1, 1, 0, 1, 0, 3, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, 1, -2, 2, -2, 1, 2, -1, -1, 2, 1, -1, 0, 1, 0, -1, 1, 1, 4, -1, 2, 1, -2, -1, 1, 2, -2, 2, 1, 0, -2, 1, 0, 0, 1, 0, -1, 0, 1, -1, -1, 4, -2, -1, 1, -1, 2, -2, 2, -2, -1, -1, -1, 0, 0, -1, -1, -2, 1, -1, 0, 1, 2, -2, 4, 2, -1, 1, -1, 1, -2, 2, 1, 1, -1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, -1, 2, 4, -2, 2, -2, 2, -1, 1, 2, -1, -2, 2, 2, 0, 0, 0, 0, -1, 0, -2, -2, 1, -1, -2, 4, 0, 0, -2, 2, -1, -2, 1, 1, -1, 0, 1, -1, -1, 1, 1, 0, 1, -1, -1, 1, 2, 0, 4, -2, 0, -1, 0, 0, -1, -1, 1, 1, 1, -1, 0, 1, 0, -1, -2, 1, 2, -1, -2, 0, -2, 6, -2, 2, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 2, 2, -2, 1, 2, -2, 0, -2, 6, -3, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, -2, -2, 2, -2, -1, 2, -1, 2, -3, 6, -2, -1, -1, 1, 0, 1, 1, -1, -1, 1, -1, -2, 1, 2, -2, 2, 1, -1, 0, 0, 1, -2, 4, 2, 1, 0, 1, 1, 0, 2, 1, -2, 1, 0, 2, 1, -1, 1, 2, -2, 0, 0, 2, -1, 2, 4, -1, 0, 2, 2, 0, 1, 2, -1, -1, 0, -1, 0, -1, 1, -1, 1, -1, -1, 0, -1, 1, -1, 4, 2, -1, -1, -1, 1, 0, -1, 1, 0, -1, -2, -1, -1, -2, 1, -1, 0, 0, 1, 0, 0, 2, 6, -1, 0, 0, 1, 2, -1, 0, -1, 2, 1, 0, 1, 2, -1, 1, 0, 1, 0, 1, 2, -1, -1, 4, 2, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, -1, 0, 2, 4, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 1, 0, 0, -1, 0, 0, 1, 4, -1, 1, 1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, -1, 2, 1, 1, 1, -1, 0, -1, 4, 1, -2, 0, 0, 1, 0, -2, 0, 0, -1, 0, 0, 2, -1, 1, 2, 0, 2, 0, 0, 1, 1, 4, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, -2, -1, -1, -1, 0, 0, 1, -2, -1, 4, 1, 0, -1, 0, -1, 1, -1, 1, 0, 0, 0, -1, 1, -1, 1, 0, -1, -1, 1, 0, 0, 1, 4, 0, 1, 1, 0, 0, 0, 0, -1, -1, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, -2, 1, 1, 1, -1, 0, -1, -2, -1, -1, 1, 0, 2, 2, -2, -1, 0, 2, 4, -2, -1, -1, -2, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 2, -1, -1, 0, -2, -2, 4, 1, 2, 2, -1, -2, -1, 0, -1, 1, 2, 0, 0, -1, 1, -2, -1, 2, 1, 1, 0, -1, 1, 4, 2, 1, 1, 0, 1, -2, -1, -1, -1, 1, -2, 1, -1, 1, 1, -1, -1, 2, -1, -1, 2, 2, 4, 1, 1, -1, 1, 0, -2, -1, 1, 0, 0, 1, -1, -1, 1, 1, -1, 2, -2, -2, 2, 1, 1, 4, 0, -2, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, -1, 1, 1, 0, 4, 0, 2, -1, 0, -1, -2, -1, -1, 2, -1, 0, 2, 0, -1, 1, 1, 2, -2, 0, -1, -2, 0, 4, 1, -1, 1, -1, 0, 1, 0, 1, -2, 0, 0, 0, 0, -1, 1, 0, -1, 1, 1, 0, 2, 1, 4, -1, -1, -2, -2, 0, 0, 2, -1, 0, 2, 0, 0, 1, -1, 0, 0, -2, 0, 1, -1, -1, -1, 4, -1, 1, 1, -1, 2, -1, 0, -1, -1, 1, 0, 0, 0, 0, -1, -1, -2, -1, 0, 1, -1, -1, 4, 0, 1, 0, 0, -1, 1, 1, -2, -1, 0, -2, -1, 0, 1, -1, -1, 0, -1, -1, -2, 1, 0, 4, 0, 0, 0, -1, 0, -2, -2, 2, 1, 0, -2, -1, 2, -1, 1, 0, -2, 0, -2, 1, 1, 0, 6, 1, 2, -2, 1, -2, -2, 2, 0, -1, -1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 0, 0, 1, 4, -1, 0, -1, -1, -1, 0, 0, 0, -1, 0, 0, -2, 0, 0, -1, 0, 0, 2, 0, 0, 2, -1, 4, -1, 1, -1, 0, 1, 1, 0, 1, 0, -1, 1, 1, 0, 2, 1, 2, -1, -1, -1, -2, 0, -1, 4, -1, 0, 1, 0, 0, 1, 0, -1, 1, -1, -1, 1, -1, -2, -1, 0, 1, 0, 1, -1, 1, -1, 4, 1, 0, -1, 1, 0, 2, 1, -2, 1, -1, 0, 0, 0, 0, -1, 1, -2, -2, -1, -1, 0, 1, 6, 2, -4, -1, 0, 2, 2, -1, 1, 1, 0, 2, 0, 2, -1, -2, -2, -2, -1, 0, 1, 0, 2, 6, -2, -1, 2, -2, -1, 2, -1, 1, 0, 0, 0, 0, 1, -1, 2, 2, 0, 1, 0, -1, -4, -2, 6, 2, 0, -1, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, -1, -1, 2, 4, -1, 0, 0, 1, 2, 2, 1, 1, -1, 1, 0, -2, 0, -1, 0, 0, 1, 0, 0, 2, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, -1, -2, -1, 1, 1, 1, -1, -1, -1, 1, -1, 2, 1, 2, 2, -1, -2, 4, -2, 2, 1, 1, 1, 2, 1, -2, -2, -2, 2, 1, 0, -1, 1, 0, -1, -2, -1, 2, 2, -2, 4, -2, -1, -2, -1, -2, -2, 1, 0, 0, -2, -1, 0, 0, -1, 1, 0, 1, 1, 0, -2, 2, -2, 4, 1, 2, 2, 2, 1, -2, -2, -2, 1, 0, 0, -1, 0, -2, -1, 0, -2, 2, 0, 1, -1, 1, 4, -1, 2, 1, -1, -2, -2, -1, 2, 1, -2, 1, -1, 1, -1, -1, 0, 1, -1, 1, -2, 2, -1, 4, 1, 1, 2, 0, 0, -1, 1, 0, 1, 0, 0, -2, 0, 1, -1, 1, -1, 1, -1, 2, 2, 1, 4, 1, -1, -1, -1, -1, 2, 0, 0, 1, 0, -1, -2, 0, -1, 1, -2, 2, -2, 2, 1, 1, 1, 4, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, -1, -2, -2, 2, -1, 1, -2, 1, -1, 2, -1, 2, 4, 0, 0, -1, 0, 0, 1, -1, 0, -1, 0, 0, -1, 1, 1, -2, 1, -2, -2, 0, -1, -2, 0, 4, 2, 1, -2, -1, 1, 1, 0, 0, 1, 1, 1, -1, 1, -2, 0, -2, -2, 0, -1, -2, 0, 2, 6, 4, 0, -1, 2, 0, 0, -1, 0, 2, 1, -4, 1, -2, 0, -2, -1, -1, -1, -2, -1, 1, 4, 6, -1, 0, 1, 0, 0, 1, 1, 0, 2, -3, -1, 2, -2, 1, 2, 1, 2, 2, 0, -2, 0, -1, 6, 1, 0, 0, 1, -1, -2, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 4, 0, -1, 0, 1, 1, -2, 1, 0, -1, 0, 0, 0, -2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 4, -1, 0, -2, -1, 0, 0, 0, 1, -1, 0, -1, 1, 0, 1, 0, -1, 1, 0, 0, 0, -1, -1, 4, 0, 1, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, -1, 0, 0, 0, 0, 2, 0, 1, -2, 1, -2, -1, 0, -1, 0, -1, 1, -1, 1, -2, 1, -1, 6, 2, -2, 2, 0, 1, -1, 0, -1, -1, 0, -2, -1, 0, 1, 0, 1, -2, 1, -1, 0, 0, 2, 4, -1, 1, -1, 2, -2, 1, 0, -1, 1, 0, -2, 0, 1, 2, 0, 0, -2, 0, 0, 0, -2, -1, 6, 1, -1, 2, -1, 1, -2, 0, -1, -1, -2, -1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 4, -1, -1, 2, 0, 2, 1, 1, 1, 2, 1, -1, -4, -3, 1, 0, 0, 0, 0, 0, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, -2, -1, -2, -1, -1, -1, 0, -1, 1, 0, 1, -2, 1, 0, -1, 0, 1, 4, 0, 0, 0, 0, -1, -1, -1, 1, 1, 0, -1, 0, 0, 1, 0, 0, 1, -1, -2, -1, 2, 0, 4, -2, 0, -1, -2, 1, -2, 0, 0, 0, 1, 0, 1, 0, 1, 0, -1, -1, -1, -1, -2, 0, -2, 4, -1, 2, 1, -1, 0, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, -1, 4, 1, 1, -1, 1, -2, 0, 1, 1, 1, -1, -1, 2, -1, -1, 1, 1, -1, -1, 0, -1, 2, 1, 4, 2, -2, 0, -1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, -2, -2, -1, -2, 1, 1, 2, 4, 0, 2, -1, 1, 1, 1, 0, -1, -1, 0, 1, 0, 1, 1, -1, -1, -1, 1, -1, -1, -2, 0, 4, 1, 1, 1, 0, 1, 0, 0, -1, -1, 1, -1, 0, 0, 0, -2, -1, -2, 0, 1, 0, 2, 1, 4, -1, 1, 1, 0, 0, -1, -1, 0, 1, 0, 1, 1, 1, -1, 1, 0, 1, -2, -1, -1, 1, -1, 4, 1, -1, 0, 1, 1, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, 0, 0, 0, -1, -1, 1, 1, -1, -1, 0, -2, -1, 0, 0, 1, 1, 2, 1, 0, 1, -1, 0, 4, 1, 1, -1, -1, 0, 1, 0, 1, 0, -2, 0, -1, 1, -1, 1, 1, 1, 1, 0, 0, 0, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 4, 0, 1, 0, 0, -1, 1, 1, -1, 1, 0, 1, 0, -1, 0, -1, 0, -1, 1, -1, -1, 1, 0, 4, 2, 0, -1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 0, -1, -1, -1, 1, -1, -1, 0, 1, 2, 4, 0, 0, 1, -1, -1, 0, 1, 0, 1, -1, 2, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 4, -1, -1, 0, 1, -1, -2, 0, 0, 0, -1, 0, 1, 1, 1, 0, 1, 1, 0, 0, -1, 0, -1, 4, 0, 0, 0, -1, 1, 1, -1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, 1, -1, 0, 4, 0, -1, 1, 0, -1, -1, 0, 1, 0, 1, 0, 1, -1, -1, 1, 0, 1, 0, -1, 0, 0, 0, 4, 2, 0, -1, -2, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, -1, 1, 0, -1, 2, 4, 0, 0, -1, -1, -1, -1, -2, -1, 0, 1, 0, -2, -2, -1, -1, 0, 0, -1, -1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 1, 1, 1, -2, -1, 1, 0, -1, -1, -1, -1, 1, -1, 0, 0, -2, 4, -2, 2, 1, 1, 1, 1, -1, 1, 2, 2, -1, 1, 1, 0, 2, 2, -2, 2, 0, 1, 2, -2, 4, -2, -1, 0, -1, -1, 0, -1, -2, -1, 2, 0, -1, -1, -2, 0, 1, -2, 0, 1, -2, 2, -2, 4, 1, -1, 2, 0, 0, -1, 2, 1, -2, 1, 1, 0, 2, 0, -2, 0, 0, 0, 0, 1, -1, 1, 4, 2, 2, 2, -1, 2, 1, -1, -2, 2, 2, -1, 0, 1, -1, -1, -1, 1, 1, 1, 0, -1, 2, 4, 1, 2, 0, 2, 0, 0, 0, 1, 1, -1, 0, 1, -1, 0, -1, 1, -1, 1, -1, 2, 2, 1, 4, 0, 0, 1, 1, -1, -1, 2, 2, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1, 0, 2, 2, 0, 4, 0, 2, 0, 0, -1, 1, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 1, -1, -1, 1, 1, -1, -1, 2, 2, 1, 2, 0, 6, -1, -1, -1, 0, 2, -1, 1, 0, 1, 1, 0, -1, -2, 2, -2, 2, 1, 0, 1, 0, 0, -1, 4, 2, -2, 1, 1, 0, 0, 2, -2, 2, 0, 0, -1, 2, -1, 1, -1, 0, -1, 0, 1, -1, 2, 4, 0, 0, 0, 0, 1, 1, -2, 2, 0, 0, 1, -1, 2, -2, -2, 0, -1, -1, 0, -1, -2, 0, 4, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, -1, 4, 1, 0, 0, 1, -1, 0, 0, 2, -1, 1, -1, 1, 2, 1, 2, 1, 0, 2, 1, 0, -1, 1, 4, -1, 1, 1, -1, 1, -1, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, -1, 4, 1, 0, 0, 0, 2, 0, -1, 2, -2, 2, 0, 0, 1, 0, -1, 1, 0, 1, 0, 0, 1, 1, 6, -2, -1, 0, 0, 0, -1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, -1, 1, 1, 0, -2, 6, -2, 2, 0, 2, 1, -2, 1, -2, -1, -1, -1, -1, 0, 1, -2, -2, 1, -1, -1, 0, -1, -2, 4, -1, 0, -1, -1, 2, -2, 0, -1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, -1, 6, 1, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, 4, -1, 0, 1, 1, 0, 1, 1, 0, 1, -1, -1, 0, 0, 0, 2, 0, 0, 0, 2, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, 0, -2, -2, 1, 2, 1, 0, 2, -1, -1, -2, 1, -2, -1, 0, -1, 1, 4, 0, 0, 0, 0, 1, 0, -1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, -1, 0, 0, 2, 0, 4, -2, 0, -1, -1, -2, -1, 2, 1, 1, 1, 2, -1, 0, 0, 1, 0, 1, -1, 0, -2, 0, -2, 4, -1, 2, 0, 2, 1, -2, -2, -1, -1, -2, 1, 0, 1, -1, 2, 1, 0, 1, 1, 0, 0, -1, 4, 1, -1, -1, 1, 1, 2, 1, -1, 0, 1, 0, -2, 2, -1, 1, 2, -2, -1, 0, -1, 2, 1, 4, 0, 1, 2, -1, -1, 1, -2, -1, 2, 0, -1, 1, 1, 2, 0, -1, 0, 1, -1, 0, -1, 0, 4, 0, -1, -2, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, -1, 1, -2, 0, -2, 2, -1, 1, 0, 4, 0, -2, -1, -1, 0, -2, 1, 0, 0, -1, 0, -1, 0, 1, -2, -1, -1, 1, 1, 2, -1, 0, 4, 0, 0, 0, -1, -1, 1, 0, 0, 0, 1, 1, 1, -1, 1, 0, 2, -2, 1, -1, -2, -2, 0, 4, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, -1, 2, 0, 1, -2, 2, -1, -1, -1, 0, 1, 4, 1, 1, 1, 0, -1, -1, 1, -2, -1, 1, -2, 1, 2, 1, -1, 1, 1, 1, -1, 0, 0, 1, 4, 0, 0, 0, 0, -1, 1, 0, 1, 0, -1, 0, 1, 1, -1, -1, -2, 0, 0, -1, 0, 1, 0, 4, 1, -1, 1, 2, 0, 0, -1, -1, 1, 2, 0, 2, -2, 0, -1, 0, -2, -1, 2, 1, 0, 1, 4, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, 2, 0, 1, 1, 0, 0, 0, -1, 0, 4, 1, -1, 0, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, 4, 0, 1, 0, 0, 0, 1, -2, 0, 0, 1, -2, -1, -1, 0, 0, 1, -1, -1, 2, 0, -1, 0, 6, -1, 3, 1, -1, 1, 1, 0, 1, -1, 2, 1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, -1, 4, 0, 2, 0, -1, -2, 1, 0, 2, -1, 1, 1, 0, 1, 0, -2, 0, 0, -1, 0, 0, 3, 0, 6, 2, -1, 1, -1, -1, 1, 1, 1, 2, 0, -1, 1, 0, -1, 1, -1, -1, 1, 0, 1, 2, 2, 6, 0, 0, 0, 0, -1, 0, 2, 0, -1, 0, 1, 1, 1, 0, -1, 0, 1, 0, -1, 0, -1, 0, 4, -1, -1, 0, 0, 1, -2, -1, 1, 1, -1, -1, -2, -1, 1, 0, 0, 1, 1, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, 1, -2, 1, -1, -1, 0, -1, 1, -1, 0, -1, 1, -1, 1, -1, 1, 0, -2, 4, -2, -1, 0, -1, 2, -1, 2, 2, 1, 0, 0, -1, 0, 0, 0, 1, -2, 2, -1, -1, 2, -2, 6, 3, -1, 2, -1, 2, -3, -3, 1, -2, 1, 1, -2, 2, 2, 0, 0, 1, 0, -2, 1, -1, 3, 4, 0, 0, 0, 0, -2, -2, 1, -1, 1, 0, -1, 2, 1, 0, 0, 0, 0, -1, 1, 0, -1, 0, 4, -1, 0, 0, 0, 0, -1, 0, -1, -2, -1, -2, 0, 0, 0, -2, 0, 2, 1, -1, 2, 0, -1, 4, -1, 2, -1, -1, -1, -1, -1, 1, 0, 1, 1, 0, 1, 1, 0, -2, -2, 2, -1, 0, 0, -1, 4, -2, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -2, 0, 0, -1, 1, -1, 2, 0, 0, 2, -2, 4, 0, -2, 0, -2, 0, 0, 0, 0, 2, 0, 1, 0, 0, -1, -1, 2, -3, -2, 0, -1, 0, 0, 4, 2, 0, 1, 0, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 2, -3, -2, 0, -1, 1, -2, 2, 4, 0, 2, 0, -1, 1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0, 0, 0, 4, -1, 2, -1, 0, 1, 1, -1, 0, 2, 1, -1, -1, 0, -2, -1, 0, -1, 1, -2, 1, 2, -1, 4, 0, 0, 1, -1, -2, 1, -1, -1, -1, 2, 1, 0, 1, 1, -1, -1, 0, 0, 0, 0, 2, 0, 4, -1, 1, 0, 1, 0, -1, 0, 1, 0, -1, -1, 1, 0, -2, 1, 0, 0, -1, -1, -1, 0, -1, 4, -1, 1, -1, 1, 1, 1, -1, -1, 0, 0, -2, -1, -1, 0, 0, 0, 1, 1, 0, 1, 1, -1, 4, 0, 0, -1, 0, -1, 1, 0, -1, 0, 2, 2, -2, 1, 0, 0, -1, -1, 1, -1, 0, 1, 0, 4, 1, 0, 0, 2, 0, -2, 1, 0, 2, 1, 0, 1, -1, 2, -1, -1, 1, -2, 1, -1, 0, 1, 4, -1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 1, -1, 0, -1, 4, -1, 1, -2, 1, 1, -2, 0, 0, 0, 1, -2, 1, -1, -1, 0, -1, -1, 1, 0, 0, 0, -1, 4, -1, 1, 0, -1, 2, 1, 0, -2, 1, 0, 0, 1, 1, 2, -1, 0, 1, -1, 2, 1, 1, -1, 6, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, -1, 1, 0, 1, -2, 1, 0, 4, -1, 0, -1, -2, -1, 2, -2, -1, -1, 1, 0, -1, 2, 0, -1, 0, -2, -1, 1, 0, -2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, -2, 1, -2, 0, 1, -2, 0, -1, 1, -2, 0, -2, 1, -1, -2, 0, 1, -2, 1, 4, -1, -1, 1, 2, -1, -1, 0, 0, 1, -1, 0, 1, -1, -2, 0, 1, -2, 1, -1, 0, 0, -1, 4, 1, 0, 1, -1, -1, -1, 1, 0, 1, -1, -2, 1, 1, -1, -2, 2, 0, 0, 0, -2, -1, 1, 4, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, -1, 1, -2, -1, 1, 1, -1, 1, -2, 1, 0, 2, 4, 0, 2, 0, -1, 2, 0, 1, -1, 2, -1, 0, -1, 0, 0, 0, -1, 2, 1, 2, 1, 0, 0, 4, -1, -2, -1, -1, 1, 0, 1, -1, -1, -1, -1, -1, -1, 1, -1, 0, -2, -1, -1, 2, 2, -1, 4, 0, -1, 1, 0, 1, 0, 2, 0, 0, -1, 0, 1, 0, -1, 2, 0, -1, -1, 0, 0, -2, 0, 4, 1, -1, -1, 0, 0, 1, 0, 0, 2, 1, 0, -1, 0, 0, 1, 0, -1, 0, -1, -1, -1, 1, 6, 1, 2, -2, -1, -2, -1, 0, -1, 1, 1, 2, 0, -2, -2, 0, 1, 1, 2, -1, 1, -1, 1, 6, 0, -1, -2, 1, 0, 1, -1, 1, 3, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, -1, 2, 0, 4, -1, 0, -2, 0, 0, -2, 0, 0, 2, -1, 0, -1, -1, 1, 2, 1, 0, 1, 0, -2, -1, -1, 4, 1, 0, -1, 0, 0, -1, 0, -1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, -1, -2, 0, 1, 4, -1, 0, -1, 1, -1, -1, 0, 0, 0, -2, 1, -2, 0, 2, -1, 2, 1, -2, 1, -2, 0, -1, 6, -1, 0, 1, 2, -1, -1, 0, 2, 0, -1, 1, -1, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 4, 0, 0, -1, 2, 0, 0, 1, -2, -2, 1, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4, 0, 0, 1, 0, 1, 1, 1, 0, -1, -2, -1, -1, -1, 2, -1, -1, -2, 0, 1, 1, 0, 0, 4, 1, -1, -2, 1, 0, -1, 1, -2, -1, 0, -1, 0, 1, 1, 1, 0, -1, -1, 2, -1, 0, 1, 4, 0, 0, 0, 0, -2, -2, 2, 1, 0, -1, 1, 0, 1, 3, 0, 0, -1, -1, 2, 1, -1, 0, 6, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, 2, 0, 2, -1, 0, -1, 0, 0, -2, 0, 0, 4, 0, 0, 1, -1, 0, -1, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, -1, 0, 4, -1, -2, 0, 0, 1, 2, 0, 2, 0, -2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 2, 1, 2, 1, 0, -2, -2, 1, 0, 1, 2, -1, 2, -2, 1, -2, 1, 0, -2, 4, 2, 1, -2, 0, -1, 1, 0, 2, 2, 0, 1, -1, -2, 0, -1, 0, -1, 2, 0, 1, -2, 2, 4, 2, -2, 1, -1, -1, 1, 2, 1, 0, 1, -2, 0, -1, -2, 0, -1, 2, -1, 0, -1, 1, 2, 4, -1, 2, 1, 1, 2, 1, -1, 0, 2, -1, 0, 1, -1, 0, -2, 1, -2, 0, 2, -2, -2, -1, 4, 1, 0, -1, -1, -2, -1, -1, 0, 2, 2, 1, 0, -1, 1, -1, 0, 1, 1, 0, 1, 2, 1, 6, 2, 0, 0, 1, -3, -1, 1, 1, 3, 2, -1, -2, 0, 1, -1, 2, 2, -1, -1, 1, 0, 2, 6, 3, 1, -1, -4, 0, 1, 1, 2, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 0, 3, 6, 2, -1, -1, 2, 0, 0, 0, -1, 2, 0, -1, -1, 1, -1, 0, 0, 1, 2, -1, 0, 1, 2, 4, -1, -1, 1, 1, -2, 1, 0, 1, 0, -1, 0, -1, -1, -2, 2, 2, 1, -2, 1, -1, -1, -1, 4, 1, 0, 0, -1, -2, 1, -2, 0, -1, 2, 0, 0, -2, 2, 1, -1, -1, -3, -4, -1, -1, 1, 6, 0, 0, -1, -3, -1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 2, 1, 0, 0, 4, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, -1, 4, -1, 1, 0, 0, -1, 0, 1, -1, 1, 1, -1, -2, -1, 2, 1, 1, 0, -2, -1, -1, -1, -1, 4, 0, 1, 0, 0, 0, -1, 1, 1, 2, -2, 0, 0, 2, 3, 2, 0, 1, -2, -3, -1, 1, 0, 6, -1, 0, -2, 2, 0, -1, 1, -1, 0, -1, 1, 1, 2, -1, -1, 0, 1, -1, -1, 0, 1, -1, 6, 0, 0, -1, 1, -1, 2, 2, -1, -2, -1, 0, -1, 1, 2, 1, -2, 0, 1, 0, 0, 0, 0, 4, 0, 1, -2, 1, 0, -2, 0, 0, 0, -1, -2, -1, 0, 0, 0, 2, -1, -1, 0, -2, 0, 0, 4, 0, 0, 0, -1, 1, -1, -1, -2, 1, 0, -1, -1, -1, -1, 1, -1, 0, 0, 2, -1, 1, 0, 4, -1, 0, 1, -2, 2, 2, 1, -1, 1, -1, -1, 0, 2, 0, -1, 1, -1, 0, 1, -2, 0, -1, 4, 0, 1, 1, 0, -1, -2, 0, -1, 1, 1, -1, 0, 0, 1, -1, 1, -1, -1, 1, 0, 0, 0, 4, -1, 0, 1, 0, 0, 1, 2, -1, -1, -1, 0, 0, -1, 1, 1, 1, 2, 0, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 2, 2, -2, 0, 0, 0, 1, -2, -2, 0, 0, 1, -1, -1, -2, 1, 0, 1, 4, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, -2, -1, -1, 1, 2, 1, -2, 0, -1, 0, 2, 0, 4, -2, -1, 0, 2, -1, 1, -1, -1, -1, -1, -2, -1, -1, 1, -2, 0, -2, 2, 0, -2, 0, -2, 4, 2, -1, -1, 1, 0, 0, 0, -1, 2, 0, 0, 1, -1, 0, 0, 2, 0, -1, -1, 0, -1, 2, 4, -2, -2, -1, 0, 0, 0, -2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, -1, -2, 4, 2, -1, -1, 0, 0, 2, -2, -1, 1, 0, -1, 1, 0, -1, -1, 0, 2, 1, 2, -1, -2, 2, 4, -1, 0, -1, -1, 0, -2, -2, 0, 0, 0, -1, 0, -1, 1, -1, -2, 0, -1, 1, -1, -1, -1, 6, -1, 2, 1, 2, 3, 1, 1, -1, 0, 2, -1, 1, -2, -2, 0, 1, 1, 0, 0, -1, 0, -1, 4, -1, 0, -1, -1, 0, -1, -1, 1, -2, -1, 0, 2, 1, 0, 0, -1, 0, 0, 0, -1, 2, -1, 4, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, 0, 0, 0, -1, 1, 0, 2, 4, 0, 0, 1, 0, 1, 1, 1, 0, 0, -1, 0, 1, 1, -1, -1, -2, 2, 0, 2, -1, 1, 0, 6, 0, 0, 0, -2, 0, 3, -2, -1, -2, 0, -2, -2, -1, 2, 1, -2, -2, 3, -1, 0, 0, 0, 6, 0, 1, -1, 0, 0, 1, 1, 0, -1, -2, -1, -2, 0, 0, -1, -2, 1, 0, 1, 1, 0, 0, 4, 0, 0, -1, 1, 0, 1, -1, 1, 0, -1, -1, 0, 0, 1, 0, 1, -1, 1, 0, 0, 1, 0, 4, 1, -1, 0, 1, 1, 0, -1, 0, 1, -1, 1, 2, 0, 0, -1, -1, 0, 1, -2, -1, 0, 1, 4, 0, 1, 0, 1, -1, 0, 1, 2, 1, -1, 1, -1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, 4, 0, -1, -1, 0, 1, -1, 1, -2, 0, 0, 1, -1, 2, -2, 0, 1, 3, 0, 1, 0, 1, 0, 6, -1, 0, -4, 1, -1, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, -2, 1, 0, 1, 0, -1, -1, 4, 0, 1, 0, -2, 0, -2, 2, 1, -1, -1, 1, 0, 1, 0, -1, 1, 1, 1, 1, -1, 0, 0, 4, 1, -1, 1, -1, 2, 0, 0, -1, 1, -2, 2, 0, -1, -2, 0, -1, 0, -1, 0, -4, 1, 1, 6, -1, 0, 0, 0, -1, 1, 0, -1, -2, 1, -1, 0, 0, -1, 1, -1, 0, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 2, 1, 0, 1, 2, 1, 1, -2, 0, 0, -1, -1, -1, 0, 1, 1, -2, 0, -2, 4, 2, 1, -2, 0, 0, 0, -1, 1, 1, 2, 0, 1, 0, -1, 1, 0, 0, -1, 1, 1, -2, 2, 4, 2, -1, 0, -1, 1, -2, -1, 0, 2, -1, 1, 0, 1, 1, -1, 1, -1, 1, 1, -1, 1, 2, 4, 1, 0, -2, 2, -1, 1, 0, 1, 1, -1, 0, 2, -1, -2, -1, -2, 2, 2, 2, -2, -1, 1, 4, 1, -1, 1, 1, 0, 0, -1, 0, -1, -1, 0, -2, -1, 0, 0, -1, 1, 1, 0, 0, 0, 1, 4, 1, 2, -1, 1, -1, -1, -2, 1, -1, -2, -2, 1, 1, -1, -1, 1, 0, 0, -1, -2, -1, 1, 4, 0, 0, 0, -1, 0, -1, 0, 1, -2, 1, 2, 1, 0, -2, 0, 1, 0, 1, 2, 1, 2, 0, 6, 1, 0, -1, 1, 0, 0, -1, -1, -2, 0, 2, -2, -1, 2, 2, -1, -2, -1, 1, -1, 0, 1, 6, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, -3, 0, 1, 1, -1, 1, 0, 1, 0, 0, 1, 6, 2, -1, 0, 0, 0, -1, 0, -1, -2, 0, 0, 2, 1, 1, 0, 0, 0, -1, -1, -1, 1, 2, 4, 0, 0, 1, 0, 0, 1, -1, 0, 1, -1, 1, -2, 2, 2, 1, -1, -1, 0, 1, 0, -1, 0, 4, 1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, -2, -1, 0, 1, 0, 0, 1, 4, -2, 0, 1, 0, -1, -2, 0, 1, 0, 0, 1, 1, -1, -1, 1, 0, 0, 1, 0, 1, 0, -2, 4, 0, -1, 0, 1, 3, 0, -2, 0, -1, 0, 0, 0, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 4, 2, 1, 0, 0, -1, 0, 0, -1, -1, 1, 2, 0, -2, -2, -1, 0, -1, 0, 0, 1, -1, 2, 6, 1, -1, -1, -1, 2, 0, -1, 1, 1, -1, -2, -2, 1, -2, 0, 0, 1, 1, 0, 0, 1, 1, 4, 0, 0, 1, 0, 0, 0, 0, -1, -2, -1, 1, 2, 0, 1, -1, -1, 0, -1, 1, 0, -1, 0, 4, 2, 0, -1, -1, 1, 0, 1, -1, 0, 1, 1, 2, 2, -2, 0, 0, -2, 3, 0, -1, 0, 2, 6, -1, -3, 0, 1, -1, -1, -2, 0, -1, 0, -2, 0, 0, 1, -1, 0, 0, -1, -1, 1, 0, -1, 4, 0, -1, -2, 1, 1, 2, -1, -1, -2, -1, -3, 0, -1, 0, 1, -2, 0, 2, 0, -1, -3, 0, 6, -1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 0, -1, 2, 2, 0, -2, -1, 2, 1, 1, 2, 0, 2, 0, -1, 1, 2, 2, 0, -1, 4, 1, -1, 2, -2, -1, 1, -1, 2, 0, 1, -1, 1, 1, -1, 1, 2, 1, -1, 0, 1, -1, 1, 4, -2, -1, -1, -2, 0, -1, -1, 1, 0, 0, 0, -1, -1, 1, 1, 0, 1, 1, -1, 0, -1, -2, 4, -1, 1, 2, -1, 2, 1, -2, 0, -1, -1, 1, 0, -2, -2, -1, -1, -2, -1, -1, 2, -1, -1, 4, -2, -1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 1, 2, 1, -2, -1, 2, 2, -2, -1, 1, -2, 4, 2, -1, -1, -1, 0, 0, 1, 0, 1, 2, 0, -2, -1, 2, 0, -1, 2, -1, -2, 2, -1, 2, 4, -1, 0, 1, 0, 0, 1, 1, 1, 2, -1, -1, -1, 0, 0, -1, 0, 1, 0, -1, 1, -1, -1, 4, 0, -1, 0, 2, 0, 2, -1, -1, 1, 1, 0, 0, 0, 1, -2, -1, -1, 2, 0, -1, 0, 0, 6, -1, -1, 0, -2, -3, -1, -2, 0, 0, 0, -3, -1, -1, -1, 2, -1, 1, 1, -1, 1, -1, -1, 6, -2, -1, 0, 1, 2, 0, 0, 1, 0, 0, -2, 1, 2, 0, 1, -2, -1, 0, 0, 0, -1, -2, 6, 0, 0, 1, -2, 1, 1, 1, 2, 2, 3, -1, 1, 1, 0, 0, 0, 0, 0, 2, 0, -1, 0, 4, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 1, 1, 0, -2, 0, 0, -1, 4, 1, 1, 1, 0, 0, -1, 2, 2, 1, 2, 1, 0, -1, 1, 0, 1, 2, -3, 1, 1, 0, 1, 6, -1, 1, 1, 1, 0, 2, 1, 1, 0, 1, -1, 1, 0, 1, 1, -1, -1, 2, -2, 0, 1, -1, 4, 0, -1, -1, 0, 0, -1, 1, 2, -1, -1, 0, -1, 2, 2, -1, -2, 0, 1, 0, 1, 1, 0, 4, 0, -1, -1, 1, 1, 0, 0, 1, 1, -2, 1, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, 4, 2, 1, 1, 1, 1, -1, 2, 1, -2, 2, -2, -1, 1, 0, 1, 1, 0, 0, 1, -1, -1, 2, 4, 1, 0, 1, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, 0, 2, 0, -1, 0, 0, -1, 1, 1, 4, 0, 1, 1, 2, -1, 1, -1, -2, 2, 0, 0, -3, 0, 2, -1, 2, 2, 0, 1, 1, 0, 0, 6, 2, 0, 2, 0, 1, -2, -1, 0, 0, 0, -1, -2, 3, 0, 2, 1, -1, 1, 1, 1, 1, 2, 6, 0, 0, 1, -1, -1, 2, -1, -1, 1, -1, 1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, 1, -2, -1, -1, 1, -2, -1, 1, -2, 2, 1, 1, -1, 1, 1, -1, -1, 1, 4, -2, 2, 1, 1, -1, 1, 0, 2, -1, 0, -1, -1, 0, 0, 1, 0, 1, 0, 1, 1, -1, -2, 4, -2, -1, -2, 2, -1, 0, -2, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 2, -2, 4, 2, 2, 0, 1, -1, 2, -1, -1, 0, 0, -1, 1, 1, 1, 2, -1, 1, -1, 2, 1, -1, 2, 4, 1, 0, -1, -2, 1, -2, -2, 0, 0, 1, 2, 2, -1, 1, 1, -1, -2, 1, 1, -2, 2, 1, 4, 0, 0, -1, 1, -2, -2, -1, 1, -1, 1, -1, 1, 0, -1, 0, -2, -2, -1, 2, 0, 0, 0, 6, 0, -1, 0, 0, 0, 1, 2, -2, 2, -1, 1, 0, -1, 0, 1, -1, 1, -1, 1, -1, 0, 0, 4, 0, 1, 1, 2, 1, -1, -2, -1, -1, 0, 0, 0, 1, 2, -1, 0, 0, -1, -2, -1, -1, 0, 4, -1, 2, 1, -1, -1, -1, -2, 0, 1, 0, -1, 0, 0, 1, 2, -2, 2, 1, 1, 0, 1, -1, 4, -2, -1, 0, 0, -1, 1, 0, 0, 2, 0, 1, 1, -2, -1, 1, -1, -2, -2, 0, 1, 2, -2, 4, 2, 0, 0, -1, -2, 0, 0, -1, 0, 1, 1, -1, 0, 1, -1, -2, -2, 0, 2, 1, -1, 2, 4, 1, -1, 0, -2, 0, 0, 0, 0, 1, 2, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, 0, 1, 4, -2, 1, 0, -1, -1, 1, 1, 0, 1, -2, -1, 0, 0, 0, 1, 2, -1, -1, 0, 0, -1, -2, 6, -2, 1, -1, 0, -1, 0, 0, -2, 2, 0, 0, -1, 1, -1, -2, -2, -1, -1, -1, 0, 1, -2, 6, 0, 1, -2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, -1, -2, 1, -2, -2, 0, 1, 0, 4, 1, 0, 0, 0, -1, 0, 1, 1, 0, 1, 2, -1, -1, -1, 0, 0, 0, 0, -1, -1, 1, 1, 4, 0, 1, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 4, 1, -2, 1, 0, 1, 1, -1, 2, 1, 0, 0, 0, 0, 2, -1, 0, 1, -1, 0, 0, 1, 1, 4, -1, 1, 0, 1, 0, 0, -1, 1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, -2, -1, 4, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, -1, 0, 1, 1, 0, 4, 1, -1, 1, 1, -1, -2, -2, 1, 2, 0, 1, 1, 2, 1, -2, 0, 0, 0, 0, 0, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, -2, 2, 1, 0, 1, 1, 0, -1, -1, -2, -2, -2, -1, 1, -2, -1, 1, -2, 4, -2, 2, 1, 2, -1, -1, 0, -1, 0, 1, 0, 1, 1, 1, 2, -1, -2, 0, 1, 1, 2, -2, 4, -2, -1, -2, 1, 1, -1, 0, 0, -1, 0, -2, 0, -1, -2, -1, 1, -2, -1, 1, -2, 2, -2, 4, 2, 2, -1, -1, 1, -1, -1, 0, 1, 2, 1, 2, 1, -1, -2, 1, 1, 0, -1, 1, -1, 2, 4, 1, 1, 1, -1, 1, 1, 0, -1, 1, -1, 1, -1, -2, -1, -1, -1, 0, -2, 2, -2, 2, 1, 4, -2, -2, 1, 0, 0, 0, 1, 2, 0, 2, 1, -1, -2, 2, 1, 0, 2, -1, 1, -1, 1, -2, 4, 1, -1, 1, 2, 0, -2, 0, -2, -1, -2, 0, 0, -3, -1, 0, 1, -1, 1, -1, 1, -2, 1, 4, -2, 0, 0, 0, -2, -1, 0, -1, -2, -1, 1, -1, -2, 0, 0, 0, -1, 1, -1, 1, -1, -2, 4, 0, 0, -1, 1, 1, 0, 1, 1, 0, 0, 2, 1, -1, 1, -1, 0, -1, 1, 0, 1, 0, 0, 4, 2, 1, -1, 0, -3, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, -1, 1, 0, 2, 0, 0, 2, 4, 1, -1, 0, -3, -1, 0, 0, -1, -2, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 1, 1, 4, -1, -1, 0, -1, 1, 1, -1, -1, 0, 0, -1, 0, 0, 1, -1, 1, -2, -2, 1, -1, -1, -1, 4, 1, 1, 1, 1, 1, 0, 1, 2, 0, -1, 1, -2, 2, 1, 2, 0, -1, 1, 0, 0, -1, 1, 4, -1, 1, 0, 0, -1, 1, 1, -1, -2, 1, 0, 1, -1, 0, -2, 0, 0, -3, -3, 0, 1, -1, 6, 1, 0, 0, 0, 1, 1, 1, -2, 1, -1, 2, 1, 2, -1, -1, 1, -1, -1, -1, 1, 1, 1, 4, 0, -1, -1, 2, 0, 0, -2, 2, -2, 1, -1, 1, -2, -2, 1, 0, 0, 1, 1, 0, 0, 0, 6, 1, -1, 2, 1, 0, -1, -1, -1, -1, -2, -1, 0, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, 6, 1, 1, 2, -2, 1, -2, 1, -2, -1, -2, 0, 1, 0, 0, -1, -1, 0, -1, 0, -1, -1, 1, 4, 0, -1, 0, -2, 0, -2, 1, -1, 2, -3, -1, 2, -1, -2, -1, 1, 1, 1, 2, 2, 1, 0, 6, 1, -1, -1, 1, -1, 1, -1, 1, -1, -2, 1, -1, 0, 0, 2, 1, 1, 0, 1, 2, -1, 1, 4, -1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, 0, 0, -2, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, -1, -1, -1, 0, -1, -1, 1, -1, -1, -2, 1, -1, 2, -2, -1, 1, 0, 0, 2, 4, 0, 0, 0, -2, 1, 0, -1, -1, 2, 0, 1, -2, -1, -1, 1, -2, -2, 2, 1, -1, 2, 0, 4, 0, -2, 1, -1, 0, 0, -1, 0, 0, -2, -1, 1, 1, 1, 0, 1, 0, -1, -1, 2, 0, 0, 4, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1, 1, -2, 2, -1, -1, 0, 0, 2, -1, 0, -2, -1, 4, 1, 0, 0, 0, 2, 0, 0, 2, 0, -1, -1, -2, -1, 0, 0, 0, 0, -1, -2, 1, -1, 1, 4, 0, 0, 1, 1, -1, 1, 0, 1, 1, 0, -2, 0, 2, -1, -1, -1, -1, 1, -1, 0, 0, 0, 6, 0, -1, 1, 2, 1, 3, 2, -1, 1, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 1, -1, 2, 1, -1, 2, -1, 0, 1, 1, 1, 0, -1, -1, 0, -1, 0, 1, -1, 2, 4, 2, 0, -1, 1, 2, 0, 2, -1, 1, 1, 0, 0, -1, -1, -1, -1, -1, 2, 1, 1, 2, 2, 6, 0, -2, 3, 3, -1, 2, -1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, -1, 2, 1, 0, 0, 4, -1, 2, -1, 0, 1, 0, -1, -1, 2, 0, 0, -1, 0, 0, 0, 0, 1, 1, -1, -1, -2, -1, 4, 0, -1, -1, -2, 0, 0, 0, -1, -1, -1, -1, 1, -2, -1, 2, 0, 3, 2, 1, 3, 2, 0, 6, 1, -1, 1, -1, -1, 1, 2, 0, 0, -2, -2, -1, -1, 0, 1, 2, 1, 2, 3, -1, -1, 1, 6, -1, 3, -1, 2, 1, 0, 0, 0, 1, -1, 1, 1, -1, 1, -1, -1, 0, -1, 0, -1, -1, -1, 4, -1, 0, -1, 1, 0, -1, 1, -1, -1, 1, -2, -1, 0, 1, 2, 2, 2, 1, -2, 1, 3, -1, 6, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, -2, -2, 0, -1, -1, -1, 0, 0, -1, -1, 0, 0, 4, 0, -1, 0, 0, 1, -2, -2, 0, -1, -1, 0, 0, 0, 1, 1, -1, 0, -1, 2, -1, 2, 0, 4, 1, -1, 0, 0, -1, -2, 1, -1, 0, 2, 0, 1, 1, 2, -1, 0, 1, 1, 1, 1, -1, 1, 4, -1, -1, 0, 1, 2, 0, 0, 0, -1, 2, 1, 0, 0, 2, -1, 2, 0, 0, 1, 0, -1, -1, 4, 1, 0, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 1, 4, 0, 0, -1, -1, 2, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, 2, -1, -2, 0, 2, 1, 1, 1, 2, 2, 2, -1, -1, -1, -2, 1, -1, 1, -1, 4, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 1, 1, -1, 1, 0, -1, 1, 0, 0, -1, 4, -1, 0, 0, -1, 1, 1, -1, 0, 1, 1, -1, 0, 1, -1, 1, -1, -1, -2, 0, -1, 0, -1, 4, -1, 2, 0, 1, 0, -1, 1, -2, -2, -2, -2, -1, 2, -1, 0, 1, -1, 1, 2, 0, 0, -1, 4, -2, -2, 1, 0, 1, 1, 1, 0, 0, 0, -1, -2, -1, 0, 1, -1, 1, -1, 0, 0, 2, -2, 4, 1, 1, 0, -2, 1, -2, 0, 0, 0, -1, 1, -1, 0, 1, -1, 1, -2, 0, -1, 0, -2, 1, 4, 0, -2, 0, 0, -1, -1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 4, 0, 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, 1, -2, 2, 2, 0, 1, 0, 0, 0, -2, 0, 4, 0, 1, 1, 1, 1, 2, 0, -1, 0, -2, 0, -2, 0, 1, 1, -1, -1, 1, -2, 0, 0, 0, 4, -1, 2, 1, 1, 0, 0, 0, 1, -1, -1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, -1, 4, -1, 0, 1, 1, 0, -1, -2, 0, 2, -2, 2, 1, 1, 1, -2, 1, -2, -1, -1, 1, 2, -1, 4, 1, 0, 1, 1, -2, 2, -1, -2, 1, 0, 2, -1, 1, -2, 0, 0, -1, 0, 1, 1, 0, 1, 6, 1, 1, -1, 0, 1, -2, -1, 1, 0, 2, 0, -1, -2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 6, 4, 0, -1, -1, 0, 1, 1, 1, 2, 1, 0, -2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 4, 6, 1, -2, -1, -1, 0, 0, 1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, 4, 0, 1, 0, -1, 0, 0, -1, -1, -1, 2, -2, 1, 1, 0, -1, 0, -1, -2, 0, -1, -2, 0, 4, 0, 0, 0, 1, 0, -1, 1, 1, -1, -1, -1, 0, -1, 0, 1, -2, 2, 1, -1, -1, 1, 0, 4, 0, -2, 2, -1, -2, 0, -1, 0, 0, 0, 2, 0, -2, -1, 0, -1, -2, 0, -1, 0, 0, 0, 4, 0, 1, 0, 1, -1, -1, 1, 1, 1, 0, 1, 0, -1, 2, -2, -1, 1, 0, -1, 0, -2, 0, 4, -1, 1, -1, 1, -2, -1, -1, -1, 2, -2, -2, 2, -2, 1, 1, 1, 0, 0, 1, 2, 1, -1, 6, -1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -1, -1, 2, 0, 2, 1, 0, -2, -2, 1, 0, 1, 0, 1, -2, 0, 0, -1, 1, 0, 4, 1, -1, 1, -1, 1, 0, 1, -1, -1, -2, -1, -2, 1, 1, -1, 0, -2, -2, 2, 1, 0, 1, 4, -2, 1, -1, 0, -1, 2, -2, -1, -2, -1, 0, 2, 0, 1, 0, 0, 0, 2, 0, -1, -1, -2, 4, -1, -1, 1, 0, -2, 2, 2, 3, 0, 1, 0, 1, -1, 0, 0, 1, 0, -1, -1, 1, 1, -1, 6, -2, -1, -1, 2, -1, -1, 0, -3, 1, -2, -1, -1, 1, 1, 1, 1, 2, 2, -1, -1, -1, -2, 6, -2, 0, -1, -1, -2, 1, 2, 0, 1, -2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, -1, -2, 4, 0, 0, 2, 0, 0, 0, -1, 0, 1, -1, -1, -2, -1, -1, -1, 2, 0, -1, 0, -1, 0, 0, 4, 1, 0, 0, -2, 0, 0, 1, 0, 0, -2, 0, 0, -1, 0, 1, 1, 2, -2, 2, -1, 0, 1, 4, -2, -1, -3, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, -2, 2, -1, -1, 2, 0, -2, 4, 1, 2, 1, 0, -2, 1, -1, -1, 0, 0, -2, 0, -2, -1, -1, 2, -1, -2, 0, 0, -1, 1, 4, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, -2, -2, -2, 3, 0, 1, 0, -2, -3, 2, 1, 6, 0, 1, -1, -1, -1, 2, 1, 1, 0, 0, 1, -1, -1, 0, -3, 2, 0, 0, -1, 1, 0, 0, 4, -1, 0, 0, 1, 0, 0, -1, -2, -1, 0, -2, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 4, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, -2, 1, 0, 1, 1, -2, 0, -1, 0, 0, 6, 1, 1, -1, 0, 0, 3, 0, 0, 1, 0, 1, -1, -2, 1, 0, 0, 1, 1, -1, 0, 0, 1, 4, -1, -2, 0, 0, 1, 0, 1, -1, 1, -1, -1, 2, -1, 0, 1, -1, 0, -1, 1, 1, 1, -1, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 1, -1, -2, -1, -1, 0, 2, 0, 0, -1, -2, 0, 4, 0, 0, 1, 0, 0, -2, 0, 0, 1, 0, -2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 4, 1, 0, 1, 0, -2, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 2, 0, 0, 0, 0, 1, 4, 1, 0, -1, 2, 2, 0, 1, 0, -1, -1, 0, -2, 0, 0, -2, 0, 3, 1, 0, 1, 0, 1, 6, 1, 1, 1, 0, -1, 2, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -2, 0, 1, -2, 1, 2, -1, -1, 0, 0, 1, 0, -1, 2, -2, 0, -1, 2, -1, 1, 4, 1, 0, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, 1, -1, -1, 1, -2, 2, -2, 1, 1, 4, -2, -1, 0, 0, 0, -1, 1, 0, 1, -1, 1, 1, 1, -1, -2, -1, 0, 1, 1, -2, 0, -2, 6, 2, -2, 1, -2, -1, 1, 0, -2, 1, 0, -2, -1, -1, 1, -1, 2, -2, 1, 0, -1, -1, 2, 4, -1, 0, 0, 1, 0, -2, -2, 1, 0, -1, 0, 0, 0, -1, 0, -2, 0, 1, 0, 0, -2, -1, 4, -1, 2, 2, -1, 1, 0, -1, 0, 2, 0, 2, 0, 1, 0, 0, 0, -2, 0, 0, 1, 0, -1, 4, -2, -1, 1, 0, 0, -1, -1, 1, 1, -2, 0, 1, -1, -2, -1, 1, 0, 0, -2, 0, 2, -2, 4, 2, -2, 0, 0, -1, -1, 1, 1, 1, 0, 1, -1, 1, -1, 2, 0, -1, -1, 1, 2, -1, 2, 4, -2, -1, -1, -1, 0, 1, 0, 2, -1, 1, -1, 0, -2, -1, -1, 1, 1, 0, -1, 1, -2, -2, 4, 0, 0, 0, 1, -1, 0, -1, 1, -2, 1, -1, 2, -1, 1, 0, 0, -2, 1, 0, 0, -1, 0, 4, 0, -1, -1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, -2, -2, 0, 0, 0, -1, 0, 0, 4, -1, -1, 0, 1, -1, 0, 0, -2, 1, -1, 0, -1, -1, 1, 1, -1, -1, -1, -1, 0, -1, -1, 4, 1, -1, -2, 1, 1, -1, 2, 1, 2, 1, -1, 1, 0, 0, 0, -1, -1, 0, 1, -1, -1, 1, 4, -1, -1, 1, -1, -2, 2, 1, 2, 0, 0, 1, -2, -1, 2, 1, 1, 1, -1, 1, 0, -1, -1, 4, 0, 0, -1, 2, 0, -1, 0, -1, 1, 1, -1, 0, 0, 1, 1, 0, 0, 0, 1, -2, -1, 0, 4, -1, 0, 0, -2, 0, -1, 2, -1, -1, -1, 0, 2, -2, 1, 2, -1, 0, -1, 1, 1, 0, -1, 4, 0, 0, 1, 1, 1, -2, -1, -2, 1, 0, 0, 0, 0, -1, 1, 1, 0, 1, -1, -1, 0, 0, 4, 0, 1, 0, 1, 0, 1, -1, -1, -1, 1, 1, 1, 1, -2, 1, 0, -1, -2, 2, 0, 0, 0, 4, -2, 0, -2, -1, -2, 0, 2, 0, 0, -1, -1, -1, 1, 1, -2, 2, 2, 0, -2, 1, 1, -2, 6, 0, 4, 2, 2, 1, -2, -2, 0, -2, 1, 0, -1, 0, 1, 1, 1, -1, 0, 1, 0, 0, 0, 6, -1, -1, -2, 1, 1, 0, 0, -1, -1, -2, 2, 1, -1, 2, 2, 0, -1, 1, 1, -2, 4, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, -2, -1, -1, -1, 2, 2, -2, -2, 1, 0, 1, -2, 2, 2, -1, -1, 1, 4, -2, 2, 1, 1, -1, 0, 1, -1, 2, 1, 1, -2, 1, 1, 1, 1, 1, -1, 1, 1, -1, -2, 4, -2, -1, 1, 1, 1, 1, 2, -2, -2, 1, 1, 0, -1, -1, 1, 0, -1, -1, -1, 1, 2, -2, 4, 2, 1, -1, -1, 0, -2, 1, 0, -1, -1, 0, 0, 2, -1, 0, 1, 1, 1, 2, 1, -1, 2, 4, -1, -2, -2, 0, -1, 2, 0, -2, -2, 0, 0, 1, -2, 0, 2, -1, -1, -1, 1, 1, 1, -1, 4, 0, 1, 2, 0, -1, -2, 2, 1, 0, 0, 1, 2, 0, -2, 1, 1, -2, -1, 1, -1, -2, 0, 4, 2, 1, 0, -2, 0, 2, 2, 0, 0, 0, 2, 0, -2, 1, 1, -1, 0, 1, -1, -2, 1, 2, 4, 1, 0, -1, 1, 1, 1, 1, -1, -1, 3, 0, -3, 1, 0, -1, 1, 1, 0, 0, 2, 1, 1, 4, 1, -1, -2, 2, 1, 0, 0, 0, 2, 0, -2, 1, 1, -1, -1, 2, -2, -1, 0, 0, 0, 1, 4, -1, -2, 1, 1, 0, -1, -1, 1, -1, -1, 0, 0, 2, 2, -2, 1, 2, -1, -2, -1, -1, -1, 4, 1, -1, -2, 0, 0, 0, -1, 0, 1, 0, 0, 2, 1, -2, 0, 0, -2, 0, 1, -2, -2, 1, 6, -1, -1, 1, 1, 0, 0, 2, 0, -1, 0, -2, 1, 1, -1, -2, 2, 2, 1, 2, 1, -1, -1, 6, 2, 1, 2, 1, 2, 1, -2, 0, 2, -2, -2, 1, -1, -2, 1, 2, 1, 1, 1, -2, -1, 2, 6, -2, 1, 1, 0, -1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, -2, 4, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 2, 1, 0, 4, 2, -1, 1, 1, -1, 1, 1, 1, -1, 2, 1, 1, 0, -1, 0, -1, 0, 0, 1, 1, 0, 2, 4, -1, 1, 1, 0, 1, -2, 1, 1, -1, -2, 2, 2, 3, 2, 1, -1, 0, 2, 0, 0, -1, -1, 6, 0, -4, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 1, 1, 0, 4, 0, -1, 0, 2, -1, -1, 1, 2, -2, -2, -3, -2, -1, 1, 0, -2, 0, -1, 1, 1, -4, 0, 6, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 2, -1, -1, 4, 1, -1, 1, -1, 1, -1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, -2, 0, -2, 0, 0, 1, 0, 6, -3, 1, 2, 2, -1, 0, 3, -3, 0, 3, -3, 1, 1, 1, 0, -2, 1, 2, -2, -1, -1, -3, 6, -2, -1, 1, 1, 1, -4, 3, 1, -4, 2, -2, 1, 1, 2, 3, -1, -3, 2, 1, 1, 1, -2, 4, -1, -1, -1, 0, 2, 0, 0, 2, -1, 2, 1, 1, -1, -2, 0, 2, -2, -1, 0, 2, -1, -1, 4, 0, 1, 0, 1, -2, 0, 1, -1, 0, 0, 1, 0, 1, 0, -1, -1, 1, 0, 2, 1, -1, 0, 4, -1, 0, -1, -1, 0, -1, -1, -1, 1, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1, -1, 1, -1, 4, 1, 1, 1, 1, 1, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 4, 1, 2, 2, 0, 0, 1, 1, 1, -1, 0, -2, 0, 0, 0, 2, 3, -4, 2, 1, -1, 1, 1, 6, -2, 0, 4, -2, 1, 1, 1, -1, -3, 0, 3, -2, -1, 1, -3, 3, 0, -2, -1, 1, 2, -2, 6, 1, -1, 3, 0, 1, 0, 1, 0, -1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 4, 1, 0, 1, 1, 1, -1, 0, -2, 0, 0, 0, 2, 3, -4, 2, 1, -1, 1, 0, 4, -1, 1, 6, -2, 1, 1, 1, -1, -3, 0, 3, -2, -1, 1, -3, 2, -1, -1, -1, 0, 0, -2, 3, 0, -2, 6, 0, -1, -2, 1, 1, 0, -1, 1, 2, 1, 1, -2, 2, 0, -1, -1, 1, 1, 0, 1, 1, 0, 4, 0, 0, -2, -1, 0, 1, -1, -1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, -1, 0, 4, 2, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, -2, 0, 2, 4, 1, 0, -1, 0, -1, 0, -2, 0, 2, -1, 0, 0, 0, -1, -1, 1, -1, -1, 1, -2, 0, 1, 4, 0, 1, 0, 0, 1, 0, -2, 3, -2, 1, 1, 0, 0, -3, 0, 0, -3, 1, -1, -1, 0, 0, 6, -1, -4, 2, 2, -2, 1, -1, 0, 0, 0, 0, -2, 0, -1, -2, 0, 0, 0, -1, -1, 1, -1, 4, 1, 0, -1, 0, 2, -3, 2, -1, -1, 0, 0, 3, 0, 0, 3, -1, 1, 0, 0, 0, -4, 1, 6, -1, -2, 0, -2, 2, -2, -1, 1, 1, 0, -2, 1, 0, -2, 1, -1, 0, -1, 0, 2, 0, -1, 4, 0, 1, -1, 1, -1, 1, 0, 0, 0, -1, 1, 0, -1, 2, -1, 0, 0, 1, 2, -1, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 2, -2, -1, -1, -1, -1, 1, -1, 2, 0, 0, 2, -1, 2, 2, -1, -1, 0, -2, 4, 1, -1, -2, 2, 1, 1, 0, 0, 1, 1, -1, -1, -1, 0, 0, -2, -1, 0, 0, 1, 0, 1, 4, 1, -1, 1, 2, 2, -1, 0, 2, 2, 1, -1, 1, 2, -1, -1, -1, -2, 1, 2, 0, -1, 1, 4, -1, 0, 0, 2, 1, -1, -1, 2, 0, 1, 1, -1, 0, -1, 1, 1, 0, 0, 2, -2, -1, -1, 4, -2, -1, -1, 0, 1, 0, -1, 2, 0, 1, 1, -1, 2, 0, 0, -1, 0, -2, 2, 1, 0, -2, 4, 2, 1, 1, -1, 0, 2, -1, -1, 0, 0, 0, -2, 0, 1, 0, 1, -1, 1, 2, 0, -1, 2, 4, 2, -1, 1, 0, 1, 1, -2, 0, 0, 0, -1, 0, -1, 0, 2, -1, 1, 2, 2, -1, 1, 2, 4, 0, 1, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -1, 0, -1, 1, 0, 1, -1, 0, 4, -1, 0, 0, -2, 1, 1, -2, -1, 0, 0, 1, -1, -1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 6, -2, 1, -1, 0, -1, -1, 2, 1, -3, 1, 1, 1, 1, 1, 2, -1, 0, 0, 0, 0, 0, -2, 6, 0, 1, -1, 0, 3, -3, 0, -1, -4, 0, 1, -1, 1, 2, 2, -1, 2, 1, 2, 0, 1, 0, 6, -1, -1, 1, 0, 1, -1, -1, 2, 0, 1, 2, -1, 1, 0, 2, -1, 1, 0, -2, -1, 1, -1, 6, -2, 1, 2, -1, 0, 2, -2, 0, 2, 0, -1, -1, 1, 0, -1, -2, 0, 1, 0, -1, -1, -2, 4, -1, 0, 0, 0, -1, 1, 1, -1, 0, -1, 1, 1, 1, 0, 0, 0, 1, -1, 0, 1, 1, -1, 4, -1, -1, 0, 1, 0, -1, 0, 2, 0, 2, -1, 1, 0, 0, 0, -2, -1, 3, 0, 2, 0, -1, 6, -1, 0, -1, -2, 1, 2, -1, 0, -1, 0, -1, 0, 0, 0, -1, 2, -3, 1, -1, 0, -1, -1, 4, 0, 0, 2, 1, 0, 2, -2, -1, -1, 2, -2, -1, -2, 0, 1, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, -1, 2, -1, -1, 1, 0, 0, 0, 0, 0, -3, -1, -1, 2, -1, 1, -1, 0, 0, 6, 0, -2, 0, -1, 0, -2, 1, 0, 1, -1, 0, 1, 1, -4, 2, -2, 1, 0, -2, 2, 0, 0, 6, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, 1, 1, 0, -2, 0, 4, 0, 0, 1, 2, 0, 0, 1, 2, 2, -1, 1, 1, 1, 2, -1, 0, 2, 0, -1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, 1, 2, 0, 2, -1, 0, 1, -1, -1, 1, 0, -1, 1, 2, 0, 1, -2, 0, 1, 4, 1, 1, 2, 0, -1, 0, 0, 1, -1, 0, 0, 2, 1, -1, -1, 0, -1, -1, 0, -1, 0, 1, 4, 2, -1, 0, 1, 0, 0, 1, -2, 0, 1, -1, 1, -1, -1, 0, -2, -2, -1, 1, 2, 1, 2, 4, -1, 2, 1, 1, -1, 0, -1, 0, -1, 1, 0, -1, 1, 2, -1, -1, -1, 1, 1, 2, -1, -1, 4, -1, -2, 0, 0, 0, 1, -1, 0, 2, 0, 0, 0, 0, 1, 1, 0, -1, 2, 0, 0, 2, -1, 4, 1, 2, -1, 0, 0, -1, -2, 1, -1, 0, 1, 2, -1, 0, 0, 1, 0, -1, 1, 1, -2, 1, 4, 0, 0, 1, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 4, -1, -1, 0, -1, -1, 1, 0, -1, 2, 2, 0, 0, -2, 1, -1, 0, 0, -1, 0, -1, 0, -1, 4, 0, 0, 2, 1, 1, -1, 2, -1, -2, 0, 0, 2, -2, 0, 1, 1, 0, 0, 0, 1, -1, 0, 4, -1, -1, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, -1, -2, -1, 1, 0, 0, 0, 0, -1, 4, -1, 0, -1, 0, 1, 0, 0, 1, 2, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, 2, -1, -1, 4, 1, 0, -1, 0, 0, -1, 0, -1, 0, -2, -1, 0, 1, -1, 0, -2, 1, -1, 1, 1, 0, 1, 4, -2, 1, 0, -1, -2, 1, 0, 0, 0, 1, 2, -1, 1, 2, 1, -1, 1, 1, 0, -1, 0, -2, 6, -2, 1, 1, 1, 0, 0, 2, -1, 0, 1, 1, 0, 0, -1, -1, 0, -1, 0, 0, -1, 1, -2, 4, -2, -1, -1, 0, 0, -2, 1, -1, -1, -1, -1, 0, 0, 1, -1, 2, 0, 1, 0, 0, 1, -2, 4, 0, -1, 0, 1, 3, 0, 1, -1, -1, 1, 0, 1, -1, 2, -1, -1, 0, 0, -1, 1, -1, 0, 4, 2, 1, 0, -1, 1, 2, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, -1, -2, 1, -1, -1, 2, 4, 0, 0, -1, 1, 0, -1, -2, -1, 1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 4, 1, 0, 0, 1, -1, -2, -1, 1, 0, 0, 0, 0, -1, 2, -1, 0, 0, 0, 1, 0, 0, 1, 4, 1, 0, -2, 0, -1, -1, 0, 0, 1, -2, 2, 1, 0, 0, 0, 2, -2, 3, -1, -1, 0, 1, 6, -1, 0, -1, 1, 1, -1, 1, 1, 1, -2, 0, 0, -2, 0, -1, 1, 0, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 1, -2, -1, -1, 1, -1, 1, -2, -2, 0, 0, 1, 2, 1, 0, -1, -1, 0, 0, 4, -1, 0, 1, 1, 2, 2, 1, -1, 1, -1, 0, 1, -2, 1, 0, -1, 1, 1, -1, 1, 1, -1, 4, -1, 0, 0, 0, -1, 0, 1, -1, 1, -2, 1, -1, -1, -1, 2, 0, -2, 0, -1, 0, 0, -1, 4, -1, 0, 0, -1, 0, 1, -1, -2, 0, -1, 2, -1, 0, -1, -1, 1, 0, 2, 1, 1, 0, -1, 4, -1, 1, 1, 2, -2, 2, -1, -2, 1, 0, 2, 2, -1, -1, 1, -2, 0, -2, 1, 0, 0, -1, 4, 2, 1, 0, 1, -2, 1, 0, 1, -2, 0, -2, 0, 0, 0, 1, 0, -1, 2, 0, 0, 1, 2, 4, 2, 0, -1, -1, -1, 0, 2, -1, 0, -1, 0, 0, 0, -1, 0, -1, 2, -1, -1, 1, 1, 2, 4, 1, -2, 1, 0, 0, 1, -2, 1, 0, -1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 4, -1, 1, 0, -3, 1, 0, 2, 2, -1, 0, 1, -1, 0, -1, -1, 1, 1, -2, 1, -1, -2, -1, 4, -2, 1, 0, 0, 0, -1, -2, 1, -1, -1, 1, 0, 1, 1, -1, -1, 2, -2, -1, 1, 1, -2, 4, -1, 0, 0, 0, 1, 2, -1, 1, 1, -1, 0, -2, -1, 1, -2, -1, 1, -1, 0, 0, 1, -1, 6, 1, -1, 0, -1, -1, 1, 1, -1, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, -3, 0, 0, 1, 6, -2, 1, -2, -1, 0, 2, 0, 2, 1, 0, 1, 1, -1, 1, 1, 2, 1, 1, 0, 0, -1, -2, 4, -1, 1, -1, 1, 0, -1, -1, -2, 0, -2, -1, 2, 0, -2, -1, -2, 0, 0, 0, 0, 1, -1, 6, -1, 1, -1, -1, 0, 0, 1, 1, 1, -1, -1, 2, 0, 0, 1, 2, -1, 1, -1, -2, 1, -1, 4, 2, -1, -1, 1, -1, 0, 2, 0, -1, 0, 2, -2, -1, 0, 2, -2, 2, -1, -1, -1, 1, 2, 4, -1, 0, 1, -1, 1, 1, -1, 2, -1, -1, 0, 0, -1, -1, 1, -1, 1, 0, 1, -1, -1, -1, 4, 1, -2, 1, -1, 0, 1, 0, -1, -1, 0, 0, 1, 0, -1, 1, 1, 2, 0, -1, -1, 0, 1, 4, -1, 1, 0, -1, 1, -2, 1, 1, 0, 0, 1, 1, -1, 1, -1, 0, -1, 0, 1, 1, -2, -1, 4, 0, 1, -1, -1, 0, 0, -2, 1, -1, 0, -1, 1, -1, 2, 2, -1, 0, -1, -1, 1, 1, 0, 4, 0, 0, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 2, 2, 2, -2, -1, 0, -1, -1, 1, -1, 0, 2, 1, -2, 0, 0, 1, 1, 1, -2, 4, 1, -1, -2, -1, 2, 1, 1, 1, 1, 0, 1, 0, -2, -1, 0, -1, 0, 1, -1, 1, 0, 1, 4, -1, -1, 1, 1, 2, 0, 1, 2, -1, 2, 1, 0, 1, -1, 1, 1, 2, -1, 1, 2, -1, -1, 4, 1, 0, -1, -2, 1, -2, -2, 0, -1, 1, 0, 1, -2, 1, 1, 1, 0, 1, 2, -2, -1, 1, 4, 1, -2, -1, -1, 0, -2, 0, -1, 0, 2, 1, 0, 1, -1, -1, 2, 0, 2, -1, 1, 0, 1, 4, -2, -1, -1, -1, 1, 1, 0, -1, 2, 0, -1, 1, 1, 0, 1, 0, -2, 2, 1, -1, -2, -2, 4, 2, 0, 1, 1, 0, 1, 0, -2, 0, 0, 0, 0, 0, -2, 0, -1, 1, 2, -2, -1, -1, 2, 4, 0, 2, 2, 0, 2, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 4, -1, -1, 0, 0, 2, -1, 0, 0, -2, 1, 1, 0, 0, -1, 1, 1, -2, 0, -1, 1, 2, -1, 4, 0, 0, 0, 0, -1, -1, 1, -1, -1, 0, -1, 0, -1, 1, 2, -2, -2, 1, 1, 2, -1, 0, 6, 1, 3, -1, 0, -1, 0, 2, 1, -1, -1, 1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 4, -1, -2, 0, -2, -1, 0, 1, -2, 0, 0, -1, 1, 2, -1, -1, 0, 1, 2, 0, 0, 3, -1, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 2, 0, -1, -2, 0, 4, -1, 2, 0, 0, 1, 2, -1, 0, 2, -2, 0, 0, 2, 2, -2, -1, -1, -1, 0, 0, 0, -1, 4, 1, 0, 0, -1, -1, 2, 0, 1, -1, 1, 1, 1, 0, 0, 0, 0, -1, -1, -2, 0, 2, 1, 4, -1, 1, 0, 2, 0, 0, -2, 0, -1, -2, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 4, -1, -1, -1, 1, -1, 0, -1, 1, 1, 1, 1, 0, 0, -2, -1, 2, 0, 1, 0, 0, 1, -1, 6, 2, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 1, -1, 1, 1, 0, 1, -1, 0, -1, 2, 4, 0, -1, 0, 1, 1, 2, 1, -1, 0, 0, 0, 1, 0, -1, -2, 0, 2, -1, 2, -1, 0, 0, 6, 0, 1, 1, -1, -1, 0, 2, 1, -2, -1, 0, -1, -1, 0, 0, -1, 2, 0, 1, 0, -1, 0, 4, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -1, 2, 1, 1, -1, 2, 0, 2, 1, -2, -2, 1, -1, -1, 1, 1, -1, 1, 1, 4, -1, 1, -1, 2, 1, 1, 1, 1, 0, 1, -1, 1, 0, 1, -1, -1, 1, 1, -1, 2, 2, -1, 4, 0, -1, 0, 0, 0, -2, 0, 1, 1, 1, -1, 0, 1, -1, -1, 0, 1, -1, 0, 1, 1, 0, 4, -2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, -1, 1, -2, 0, 2, -1, 1, -1, -1, -1, -2, 4, 0, -1, 0, 0, 0, -1, -1, 0, -1, 1, 1, 0, 2, 1, -2, 1, 0, 2, 2, 0, 0, 0, 4, 1, 2, -1, 1, 0, 0, -1, -1, -2, 2, -2, 0, 2, 0, 0, 2, 1, 1, 0, 0, -1, 1, 4, -1, -1, 2, -1, 1, 1, 1, -2, 0, -2, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, 2, -1, 4, 1, -1, 0, 0, -2, -2, -1, 1, -1, 0, 1, 0, 0, 1, -1, 1, -2, 1, 0, -1, -1, 1, 4, -1, -1, 0, -1, 0, 1, -1, 1, 0, -1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, -1, -1, 4, 0, 2, 1, 0, -2, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, -1, 0, -1, 0, 4, 1, -1, 0, 1, 0, 1, 0, 1, 0, -1, 0, 2, 1, 1, 1, -1, 0, 1, 0, 0, 2, 1, 4, 1, -1, -1, 0, 0, -1, 0, 1, -2, 1, 1, -1, 1, 0, 0, -1, 1, -2, -1, 1, -1, 1, 4, 0, -1, -1, 0, -1, -1, 1, 0, 0, -2, 1, -1, 1, -1, -1, 1, -2, 0, 0, 0, -1, 0, 6, 0, 0, 0, -2, -1, 1, 0, 1, -2, 0, 0, 0, 1, -2, -2, -1, 1, -2, 1, -1, -1, 0, 6, 0, 2, 1, 1, 0, -1, -1, 1, 1, 1, -1, 1, 2, 0, 1, -1, 1, 0, 0, -1, 0, 0, 4, -1, 0, 1, 0, 0, 2, -1, -1, -1, 1, 0, -2, -2, -1, 1, -1, 1, 0, 0, 0, 2, -1, 4, 0, 0, 0, 0, -1, -1, -1, -1, -2, 2, 0, 0, 0, 0, 0, 0, -1, -1, -2, 1, 0, 0, 4, 1, -2, 1, -1, 1, 1, 0, 0, 1, 2, 0, 1, -1, 0, 1, 0, -1, -1, 1, 1, 0, 1, 4, -1, -1, 1, 1, 1, 1, 2, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -2, -1, 4, 0, 1, -1, -1, -1, -1, 1, 0, -1, 0, 0, 0, -1, -2, 0, 0, -1, 0, 0, 1, -1, 0, 4, -1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, -1, 2, -1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 2, 1, 2, 1, 0, 1, -1, 0, -1, 2, -1, -1, -2, -1, 0, -1, -1, 1, 4, -1, -2, 0, 0, 2, 1, -1, 1, 1, 1, -1, 1, 0, 1, 1, -2, -2, 1, 1, 0, -1, -1, 4, 0, -1, -1, 0, 0, 0, 1, -1, 0, -1, 0, -1, 0, 0, -1, 0, 1, 0, 2, -1, -2, 0, 4, -1, 1, -2, -1, 0, -1, 0, -1, 2, 1, 1, -1, 1, 2, 0, 0, -1, -1, 2, 0, -1, -1, 4, 2, 1, 2, 1, 1, 0, 0, 1, -2, 2, 0, -1, -1, -1, -1, -1, 0, 2, 0, -1, 1, 2, 4, 1, 2, 0, 0, 0, -1, 2, 0, 2, -1, 0, 0, -1, -1, -1, -1, 1, 2, 0, -2, 1, 1, 4, 2, -1, 0, 0, 0, 0, 0, -1, 1, 0, -1, -2, 0, 1, 0, 2, 1, 0, -1, 2, 2, 2, 4, 1, 0, 0, 0, 0, 0, 1, -1, 0, -2, -1, 0, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, 4, -1, 0, 1, -1, -2, 1, -1, -1, 0, 2, 1, -2, 1, 0, 1, 1, -1, 1, 0, 0, 0, -1, 4, -1, 0, 0, 0, 1, 1, 1, -1, -2, 0, 0, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 4, -1, 0, 0, 1, -1, 0, -2, 1, 0, 0, 0, -1, 1, 0, -1, 0, -1, 0, 0, 1, 0, -1, 4, -1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, -1, 2, 1, 2, 0, 0, -1, 0, 0, -1, 4, 1, 1, -1, 0, 2, -1, -1, 0, -1, -1, 1, 0, 1, -2, 0, 0, 0, -2, 0, 0, 0, 1, 4, -1, -1, 1, 0, -1, 0, 1, -1, 2, 0, -1, 1, 2, 2, -1, 1, 1, 1, 1, -1, 1, -1, 4, -1, 0, -1, -1, 0, -2, 0, -1, 1, 0, -1, 0, -1, 1, -1, -1, 1, -1, 0, -1, -1, -1, 4, 1, 1, -1, 1, 1, 0, -1, 1, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, 4, 1, -1, 0, 1, -1, -2, -2, -1, 2, -1, 0, -1, -2, 0, -1, -2, 0, 2, 0, -1, 1, 1, 6, 1, 0, 1, -1, -1, -2, 0, 0, -1, -1, -2, -1, 2, -2, 1, 1, -1, -1, -1, -1, -1, 1, 6, -1, 0, 1, 0, 1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 4, 0, 1, -1, 1, 0, -1, -1, -1, 1, -1, -2, 0, 0, 1, 0, 1, -2, 1, 1, 1, 0, 0, 4, -1, -1, 0, 2, -1, 0, -1, 0, 0, 1, 1, 0, 1, -1, -1, 0, 0, -1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, -1, -1, 0, -1, 1, 1, -1, 1, 1, 4, -1, 0, 1, 2, 2, 1, -1, 1, 0, 0, 0, 0, -2, 0, -1, -2, 0, 2, 0, 0, -1, -1, 4, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, -1, 0, 1, 0, -1, 1, -1, 0, -1, 4, 0, 1, 0, 0, 1, 0, 0, 0, -2, -1, 0, 2, -1, 0, -1, 1, 1, -2, 0, 1, 1, 0, 6, 3, 0, 0, -2, -2, 2, 0, 1, 2, -2, -1, 1, 1, 1, 3, -2, 0, 1, 2, 0, 1, 3, 6, 1, 2, 0, 0, 2, 1, -1, 2, -3, -1, 1, 0, 2, 4, -2, 1, 1, 2, 0, 0, 0, 1, 4, 2, 1, 1, 0, 1, 0, 0, -1, 1, -2, -2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 4, 2, 2, 0, 2, 0, 0, -2, -1, -1, -1, 2, 1, 0, 0, 1, -1, 0, 1, -2, 0, 1, 2, 4, 2, -1, 2, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 2, 1, 0, 0, -2, 0, 1, 2, 2, 4, -1, 2, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, 4, -1, 0, 1, -1, 0, 2, 2, 0, 2, -1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, -1, 4, 0, 1, 0, 0, -1, -1, 2, 1, -1, 0, 1, 0, 1, -2, 1, -1, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, -1, -1, 1, 1, 0, 1, -1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 4, -1, -1, 1, 0, 1, 2, -2, 2, -1, -2, 0, 0, -2, -3, -1, -2, 0, 0, -1, 0, 0, -1, 4, 1, 0, 0, -1, -2, 1, -1, -1, 0, -1, 2, -1, -1, 1, -1, 0, 0, 0, 0, -2, -1, 1, 4, -1, 0, -1, 1, 1, -2, 0, -1, -1, -1, 1, 1, -2, -1, -1, -1, 2, -1, 0, 1, 0, -1, 4, 2, 0, 0, -1, 1, -1, -2, 0, 0, 1, 0, -2, -1, -1, -2, 2, -1, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 1, 0, 1, -1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, -1, -1, 0, 0, 4, 1, -1, 1, 1, 2, 0, 1, 3, 4, 2, 1, 0, 0, 2, 1, -1, 2, -2, 1, 0, 0, 1, 6, -1, 0, -1, 0, -1, 1, -2, -2, 0, 0, 0, 0, -1, -1, -1, -2, 1, 1, -1, 0, -1, -1, 4, -2, 1, 0, 1, -2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, -1, -2, 1, 0, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, -1, 1, 1, 1, -2, 1, -1, -1, 2, -1, -1, 0, 2, 2, -1, 1, 1, 1, 1, 4, 1, -1, 0, 0, 0, 0, -2, 2, 0, -2, 0, -1, 1, 0, 1, -1, -1, 2, 2, -1, -2, 1, 4, -2, 1, 0, -1, -1, 0, 1, 0, 1, -1, 0, 0, -1, -1, -1, 0, 1, 0, -1, 1, -1, -2, 4, -1, 0, 1, 1, -1, 0, -1, -1, 1, -1, -1, 1, 0, 2, 0, 0, 1, 1, -1, 0, 1, -1, 4, 0, -2, 1, 0, 0, 2, -1, -1, 0, 1, -2, 0, 1, 1, 0, -2, 0, 1, 0, 0, 0, 0, 4, -1, 2, -1, 0, 0, 0, 1, -1, -2, 1, 0, 2, 1, 0, 1, 2, 1, 0, -1, 1, -2, -1, 4, -2, -1, 0, -2, 1, 1, 1, -1, 0, 0, -1, -2, 0, 2, -1, 1, 0, -1, 1, 1, 2, -2, 4, -1, 0, 1, -2, 1, -2, -1, 0, 0, 2, 1, 0, -1, 2, -2, -2, 0, -1, 0, -1, -1, -1, 4, -2, 1, 2, -1, 1, 1, 0, -1, -1, 1, -2, -2, 0, 1, 2, 1, 0, 0, 0, 0, 0, -2, 4, -1, 0, 1, 0, 0, 0, 0, 1, -1, 2, 1, -1, -1, 0, 0, -1, 2, 0, -2, 1, 1, -1, 4, -2, -2, -1, 2, 0, 0, -1, 1, -1, -2, 1, -1, -2, 1, -1, -1, 0, 1, -2, 2, 0, -2, 6, 0, 3, -1, -1, -2, 0, -1, 0, -1, -1, 2, 0, -1, 1, -1, 1, 1, 1, -1, 1, -2, 0, 4, -1, -2, 0, 1, 2, -1, 0, 1, 1, -1, -1, 0, -1, 0, -1, 1, -2, 1, 0, -1, 3, -1, 4, 0, -1, -1, -1, 0, 0, 0, -2, -1, 1, 0, -1, 1, -2, -1, -1, 1, 0, 2, -1, -2, 0, 4, 0, 0, -2, 0, 0, -1, -1, 0, 0, -1, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 4, 0, 0, 1, 0, 2, 1, 2, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, -2, 1, -1, 0, 0, 4, 1, -1, 0, 0, 0, 2, -1, -1, 2, 1, 2, -1, 2, -1, 1, -1, 0, 2, -1, -2, 0, 1, 6, 1, 1, 0, 1, -1, -1, 0, 0, 1, 1, -2, 1, 1, -1, 1, -1, -1, 0, 0, 1, -1, 1, 4, -1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, -2, 2, -1, 0, 0, 0, 0, 0, 0, 1, -1, 4, 2, -1, 1, 2, 0, 1, -2, 1, 2, -1, -2, 1, -2, -1, 1, 0, -1, 2, 0, 0, 0, 2, 6, -1, 1, -1, -1, 1, 0, 2, -1, 2, 0, -1, 1, -1, 1, -2, -1, 1, 0, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 2, 2, -2, -1, 1, 1, 2, -1, 2, 1, 1, 1, 0, 1, 2, -2, -1, -1, 0, 2, 4, -2, 1, 2, 0, -2, -1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, -2, 1, -2, 0, -2, -2, 4, -1, -2, 0, 2, 1, 0, -2, 1, 0, -2, 0, -1, 0, -1, -2, 1, -1, 1, 1, 2, 1, -1, 4, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, 0, -2, -1, -1, -1, 2, 2, -2, 0, 4, 0, -2, -1, 1, 1, 0, 1, 1, 0, 1, -1, 1, 2, -2, 0, -1, 1, -2, 0, 0, 0, 0, 4, -1, -2, 0, -2, 2, 0, -1, -2, -1, 0, 0, -1, 0, 0, 0, 0, -1, -2, 2, 0, -2, -1, 4, 2, -1, -1, 0, -1, -2, 0, -1, 0, -2, -2, 2, 0, 0, 0, 1, -1, 1, 0, -1, -2, 2, 4, 1, 1, 0, 1, -1, 0, 1, 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, 6, 2, -2, 3, -1, -1, 1, -2, 1, 1, -3, -3, 1, -1, 2, 1, -2, 0, 1, -2, -1, 1, 2, 6, -1, 1, 0, 2, 2, -1, 1, 2, -2, -1, 0, -1, -1, 1, 1, 0, 0, 2, 0, 0, -2, -1, 6, 1, -2, -1, -1, 2, 0, -1, 1, 2, -2, 2, 2, 1, 0, 2, 1, 0, -1, 1, 3, 1, 1, 6, -2, -1, -1, 1, 1, 1, -3, -1, -1, 1, 1, 2, -2, -1, 1, -1, -2, -1, -1, 0, -2, -2, 6, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, -1, 2, -1, -1, 0, 4, 0, 0, 0, 1, -1, -1, 1, 0, 1, 0, -1, -1, 1, -1, -1, 1, 1, 2, -1, -1, 2, 0, 4, -2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, -2, -1, 2, 1, 0, 0, -2, 4, 1, 0, 0, 2, -1, 1, 1, 2, -1, -1, 1, 0, -2, -1, 1, 1, 0, 1, 2, 0, 0, 1, 4, 2, -1, 0, 0, 1, 2, 2, -2, 0, 2, -1, -2, -1, 1, 2, -1, 1, 1, 1, 0, 0, 2, 4, -2, 0, 0, 0, -2, -2, 1, -2, -2, 0, 2, 1, -3, -2, 1, -3, 1, -1, 1, 0, -1, -2, 6, 2, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, -3, -1, 2, -1, 2, -1, 0, 2, 0, 0, 2, 6, -1, 1, -1, -2, 1, -1, -1, 0, 0, 0, 1, 0, -2, -1, 0, 1, 0, -1, 0, 0, 0, -1, 4, -1, 0, 0, 1, -1, 1, 0, 0, 0, -1, -1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 1, -2, -1, 2, 0, -1, -1, -1, -1, -1, 2, 1, -2, -1, 0, -2, 0, -1, 4, -2, 0, -1, 1, 1, 2, -1, 0, 0, 2, 0, 1, -1, 0, 0, 1, -1, 0, 1, -1, 2, -2, 4, -1, 0, -1, -1, -2, 0, 1, -1, -2, -1, 0, 0, 0, 1, -2, -1, 1, 0, 0, 0, 0, -1, 4, 0, 1, 1, 2, 1, 0, -1, 0, 0, -2, -1, 0, -2, -1, 2, 0, -1, 1, 0, -1, 0, 0, 4, -1, 0, 0, 0, -2, 1, 1, 0, 0, 0, 0, -1, 0, 2, -2, -2, 2, 1, 1, -1, 1, -1, 4, -1, 1, 2, 0, 0, -1, -1, 0, -1, 1, 0, 0, -1, 0, -1, 0, -2, 1, -1, 1, 0, -1, 4, 2, -2, 0, 0, 2, 0, 0, 1, -2, -1, 0, 2, 0, 0, 0, -1, 2, -2, 2, 0, 1, 2, 4, -1, 0, 0, 1, 0, 0, -1, -1, -2, 0, 1, 0, 0, 0, 2, -1, 0, 1, 0, 2, -2, -1, 4, -1, 0, -1, -1, -1, -1, 2, 0, -1, 0, -1, -2, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 4, 0, -1, 1, 1, 1, 0, 1, 0, -2, 2, 1, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, -1, -1, 1, 1, -2, 0, 1, -1, 2, -2, 0, 1, -1, 2, 1, -1, -1, 0, 6, 2, 1, 1, 0, 1, 0, 2, -1, -2, -1, -1, 0, -1, 0, 0, -1, 0, 0, -1, 1, 0, 2, 4, 0, 2, 0, 1, 0, 1, 1, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, -1, 1, 1, 1, 0, 4, 0, 0, 1, 1, -2, 0, 1, -1, -1, -1, 0, -1, 0, -1, 1, -1, -1, 1, 0, 1, 2, 0, 4, -1, 1, 0, 1, 1, -1, 0, 2, 0, 0, 0, 0, 1, -2, -1, 2, 0, -1, 0, 0, 0, -1, 4, 2, 0, -2, 0, -1, 0, 1, 0, 1, -2, -1, 0, -1, -2, 0, 1, -1, 1, 1, 1, 1, 2, 4, 0, -2, 1, 0, -1, -2, 1, -2, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 4, -1, 0, 2, 0, -1, -1, -1, 2, 2, -1, 2, 1, 0, -2, 1, 2, 1, -2, 1, -2, -2, -1, 6, -2, -2, 2, 0, 0, 1, 0, -2, 0, 0, 0, -1, 2, -2, -1, 1, 0, 1, 0, 1, 0, -2, 4, 2, -1, -2, 1, 0, -1, -2, -1, 0, 0, -2, 1, 0, -2, 0, 1, -1, -1, 0, 2, -2, 2, 6, -1, 0, -1, 0, 1, 2, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, -1, 0, 2, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, -1, 1, -1, 0, 1, -1, -2, -1, -1, -2, -1, -1, 2, -1, 0, 1, -1, 0, 0, 4, -1, 1, 2, 2, 2, 0, 1, 1, 1, 2, -1, 1, 2, 1, 0, -1, 1, 1, -1, 1, 1, -1, 4, 0, 0, -1, -2, -1, 0, 0, 0, 0, 1, -2, 0, 1, -1, 1, 1, -1, -1, -1, -2, 1, 0, 4, 2, 1, 2, 0, -1, 1, 2, 1, 1, 0, 1, 1, -2, 0, 0, 0, 0, 0, -1, 2, 0, 2, 4, 2, 1, 0, 1, 2, 1, 2, -1, 0, 2, 2, -1, 0, 0, 0, 0, 0, 1, 2, -1, 1, 2, 4, 2, 1, 1, 1, 0, 0, -1, -1, 1, 0, 1, -1, -1, 1, -1, 1, -1, 2, -2, 2, 1, 2, 6, 2, -1, 1, 2, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 2, 0, 0, -1, 0, 0, 1, 2, 4, -1, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 0, 2, 1, 1, 0, -1, 1, 1, -1, -1, 4, 0, -1, 1, 0, -1, 1, 0, 2, -1, 1, 1, -1, 0, -1, 1, 0, 1, 2, 1, 1, -1, 0, 4, 0, 0, -1, 0, 1, 1, 0, 1, 0, -1, -1, -1, -2, 1, 0, 2, 1, 0, 2, 0, -1, 0, 4, 2, 0, 0, 1, 1, -2, 0, 1, 0, 0, 0, -1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 4, 0, 0, 2, 2, -1, 0, 2, 0, 0, 0, -1, -1, 1, 1, -1, -1, 0, 0, 0, -1, 0, 0, 4, -1, 0, 0, -1, 1, 1, -1, 0, 0, -2, 1, -2, 0, 0, -1, 0, 1, -1, 0, 0, 0, -1, 6, 1, 0, -1, 0, -1, 0, 2, 0, -1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 4, 2, -1, -1, 0, 0, 0, 0, -1, 1, 1, 1, 2, 0, -1, 0, 0, 1, 1, 2, 0, 0, 2, 4, -1, 0, 0, 0, 0, 0, 2, 0, -1, -2, -1, 1, 0, 0, 2, 0, -2, -1, -1, -1, -1, -1, 4, -1, 0, 1, -1, 1, -1, -1, 1, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, -1, 0, -1, 4, 1, -2, 1, -1, 0, 1, 1, 0, 0, -1, 1, -1, 1, 0, 1, 2, 1, -1, 0, 0, 0, 1, 4, -1, -1, 0, 1, 1, -1, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 1, -2, -1, 4, 0, 1, -1, -1, -1, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 2, 0, 0, -1, 1, -1, 0, 4, -1, 0, 1, -1, 0, 0, 1, 2, 2, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, -1, 0, -2, 1, 0, 0, 2, 1, 2, -1, 2, -1, -1, 1, -2, -1, 1, -1, -1, 4, -2, 2, -1, -1, 1, -2, -1, -1, 0, -2, -1, 0, 1, -1, 0, -2, 0, 0, -1, -1, 2, -2, 4, -2, 1, 0, -1, 2, 0, 0, 1, 2, 1, 0, 1, 1, -1, 2, -1, 0, 0, 1, -1, 2, -2, 4, 0, -1, 1, -2, 0, 1, -1, -1, 0, 1, 1, 0, -1, -2, 1, 1, -1, -1, -1, -1, 1, 0, 4, -1, 0, 0, 1, 0, -1, 1, 1, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 4, 0, 0, 1, 1, -1, -1, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, -2, 1, -1, 1, 0, 0, 4, -1, 0, 1, -1, -2, -1, 0, 0, 0, 1, 0, 1, 0, -2, 1, 1, -2, 2, -2, 0, 0, -1, 4, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, -1, 1, 1, 2, 0, -1, 0, 0, 1, 1, 0, 0, 4, 2, -2, 1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 0, 2, 4, -2, 0, 1, 0, 2, -1, 0, 0, 0, 0, -1, 0, 2, 0, 1, -1, -1, -1, -1, 0, -2, -2, 4, 0, 0, -1, 0, 0, 0, 1, -1, -1, 1, 0, 1, -2, 2, -1, 1, -1, -2, 2, 1, 0, 0, 4, 1, 0, 0, 1, -1, 1, 0, 0, 1, 1, 2, -1, 1, 0, 1, -1, -1, 1, 1, 1, 0, 1, 4, -1, 1, -1, -1, 1, -1, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, -1, 4, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, -1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 6, -1, -1, -1, 0, 0, 0, 0, -1, -1, 1, 0, 1, -1, 0, 1, -1, -1, 0, 1, -1, 2, -1, 4, -1, 0, 1, 2, 1, 2, -1, 0, -1, -1, -1, 1, 1, 0, 1, 0, 0, -1, -1, 0, -1, -1, 4, 0, 0, -1, 0, 1, 1, -2, 2, -2, 0, 0, 0, 2, -1, 0, 1, 1, 1, 0, -1, 0, 0, 4, -1, 0, 0, 1, -2, 0, -1, 1, 1, 1, 1, -1, 1, 0, -1, 0, -1, 0, 0, 1, 0, -1, 4, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, -1, 2, 0, 2, -1, 0, 0, 4, 1, 1, 1, -1, 0, -1, 0, 0, -2, 1, 0, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 0, -1, -1, 1, -1, 0, 0, 1, 2, 0, 0, 0, 1, -1, 1, 0, 2, 1, 1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, 1, -1, -1, -1, -1, 0, -1, 1, 2, 0, 1, 0, -2, 0, 2, 0, 4, -1, -1, 1, 2, -1, -1, -1, 2, 2, 1, -1, 0, -1, 0, -2, 2, 1, 1, -2, 2, 1, -1, 4, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 1, 1, -1, 2, 1, 1, 0, -1, -1, 2, -1, 0, 4, -2, -1, 0, 2, 0, -2, -1, -2, 1, 0, 1, 1, -1, 1, -1, -2, 2, 0, -2, 1, 0, -2, 4, 2, -2, -2, 1, 2, 1, 0, 0, 0, 0, -2, -1, 1, 1, 2, 0, -1, -1, 2, 0, -1, 2, 4, -1, -1, -1, 1, 2, 0, 0, 0, 0, -1, -2, 2, 2, 1, 0, 1, 1, -1, -1, 0, -2, -1, 4, 2, -1, -1, -1, 0, 0, -1, 0, 2, 0, -2, -1, -1, 1, 2, 1, -1, -1, 2, -2, -1, 2, 4, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0, -2, -1, 1, 1, -1, -1, -1, 0, 1, -1, -1, 0, 4, -1, -1, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, -1, -1, 2, 0, -2, 2, 1, -1, -1, -1, 4, 1, 1, -1, 0, -1, -1, -1, 1, 1, 2, -1, 0, -1, 2, 0, -1, 1, 2, -1, 0, -1, 1, 4, 1, 0, 0, 0, -1, -1, 2, 0, 1, -1, 1, -1, 1, 0, -2, 0, 0, 0, 0, 0, 1, 1, 4, 0, 1, 0, -1, 2, -1, 0, 1, -3, 1, 0, -1, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 4, 1, 2, 0, 0, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 1, 4, 1, -1, 1, -1, 1, 1, -1, -2, 1, -1, 1, 1, 0, 0, 0, 1, 0, -1, 0, 0, 2, 1, 4, 0, 1, 1, 0, -1, 0, -1, 2, 0, -1, 1, -2, -1, 2, 1, 0, -1, -1, -1, 0, -1, 0, 4, 0, 0, 0, -2, 0, 2, 0, -2, 2, -1, -1, -2, 0, 0, 1, -1, -1, 2, 0, 1, 1, 0, 6, -2, 0, 0, -2, -1, 1, 2, 1, 1, 1, 2, -2, 0, 0, 1, 2, -1, 1, -1, 1, 0, -2, 6, 0, 0, 0, 1, 0, 1, 1, -1, 1, 2, -1, -2, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, -1, 0, -2, 1, 0, -2, 2, 1, -1, -1, 0, 2, 1, 1, 0, 1, -1, -2, 0, 0, 0, 4, 0, -1, 0, -2, -1, 2, 0, 0, 1, 1, 0, -1, -1, -3, 0, -1, 0, 0, -2, 0, -1, 0, 6, -1, 2, 2, -1, 0, -1, 1, 2, 1, -1, 0, 1, 1, -1, -2, -1, 2, -1, 1, 0, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, -1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, -1, 0, -2, 4, -2, 1, -1, 2, 0, 1, 0, 1, -1, 1, -1, -2, 1, -1, -1, -2, -1, -1, 0, 1, 2, -2, 4, -2, -1, -2, 0, 0, 0, -1, 1, -1, 0, 2, -1, 1, 1, 1, -1, 1, 0, 1, -2, 1, -2, 4, 2, 1, 0, 1, 0, 0, 0, 0, -1, -2, 1, 0, -2, -2, 1, 0, 0, 0, -1, -1, -1, 2, 4, -1, 0, -1, 0, 0, 0, 0, 1, -1, -1, 0, -1, -1, 2, 0, 0, 0, -1, 2, -2, 1, -1, 4, -1, 1, 0, 1, -1, 1, 0, 0, 2, 0, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 0, -1, 4, 0, -1, 1, 1, 0, 1, 0, -1, 1, -1, 0, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, 0, 4, -1, -1, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 4, 0, -2, 1, 0, -2, 2, -2, 0, 0, -1, -2, -1, -1, 0, 1, -1, 0, 0, 1, 1, -1, 0, 4, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, -1, 1, 0, -2, -1, 4, -2, 0, 0, -1, 2, -1, 0, 0, 2, 1, 1, 1, 1, -1, 0, 0, 1, 0, 0, 1, 0, -2, 4, 1, -1, 1, -2, 1, 0, 0, -2, -2, -1, 1, -1, 0, -1, 1, 0, 1, -1, 0, 1, 0, 1, 4, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, -2, 2, -2, -1, 0, 0, 1, -2, 0, 0, -1, 0, 6, -2, 2, 2, 2, 0, 1, 1, 0, 1, 1, -1, 1, -1, 2, -1, 1, 2, 0, -1, 1, 0, -2, 6, -2, 0, -1, 0, -1, -2, 0, 0, -1, 1, 0, 0, 0, 1, 0, -2, 0, 2, -2, 0, 2, -2, 4, 0, 0, 0, 2, 2, 1, 2, -1, 1, -2, -1, 0, -1, 1, 0, 0, -1, 1, 1, 2, 0, 0, 4, 2, 0, -1, -1, 0, 2, -2, 1, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 2, 4, 0, 0, 0, -1, 0, -1, -1, 1, 2, 0, 1, 0, -1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, -2, -1, 2, -2, 0, 1, -1, 2, -1, 0, 0, 4, 2, 1, -1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, -2, 0, 1, -2, 2, -1, 0, 0, 2, 4, 0, 0, 1, 1, 0, 0, -1, 1, 1, -1, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 2, -2, -1, 0, 0, 0, -1, -1, -2, 1, 1, -1, 1, 2, -1, 1, 0, 0, -2, 4, 0, 0, -2, 2, 1, 0, 1, 1, 0, -1, 1, 0, -1, 0, -1, -2, 2, 1, 1, 1, 0, 0, 4, -1, 0, 1, 2, 2, -2, 0, 1, -2, -2, -2, -1, 1, -1, -2, -1, -2, 1, 1, 1, 0, -1, 4, -1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, -1, 2, -2, 0, -1, 4, -2, -1, 0, 0, -1, 0, 0, -2, 0, 1, 0, 1, 1, -1, 0, -1, 1, -2, 2, 1, 0, -2, 4, 2, 0, -1, 0, 0, 0, 0, -1, -2, 1, 0, -1, 0, 0, 0, 0, -1, 1, 2, 0, -1, 2, 4, 0, -2, 0, 0, 0, 0, -2, -1, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 4, 0, 0, 1, -2, -2, 0, 0, 1, -1, -1, -1, -2, 1, 1, 0, 1, -2, 2, 0, -1, -2, 0, 6, 1, 1, -1, 1, 1, 0, 0, -1, 0, 2, 0, -1, -1, 0, 1, 0, 1, -1, 0, 0, 0, 1, 4, -1, -2, -1, 1, -1, 0, -2, -2, 1, -1, 1, -1, -1, 0, 1, 0, 0, 0, 0, 1, 1, -1, 4, 1, 0, -2, 0, 1, 0, 0, 0, -2, 0, 0, -1, -1, -2, 0, 0, 0, 0, -2, -1, -2, 1, 6, 3, -1, 2, 0, 1, 1, -1, 2, -2, 0, -2, 1, -2, 0, -2, 0, 0, -2, 1, -1, 0, 3, 6, 0, 1, -1, -1, -1, 2, 2, -1, 0, 1, 0, -2, 1, 0, -1, -2, 0, 1, 1, -2, -1, 0, 4, 0, -1, 0, 1, 0, 1, 1, 0, 1, -1, -1, 1, 1, -2, -1, 0, 0, -1, 0, 2, 1, 0, 4, -1, 0, 0, 0, 2, -1, 1, -1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, -1, -1, -1, 4, 1, -1, -1, -1, 0, 0, 1, -1, -1, 0, 1, 0, 0, -1, -1, -2, 0, 1, -1, 0, 0, 1, 4, 3, -1, 1, 0, 0, 2, -2, -2, 0, 1, -1, -2, -1, 0, -2, 0, 1, -1, 1, 0, -1, 3, 6, -1, 1, 0, -1, -1, 2, -1, 0, -1, 0, 0, -1, 2, 1, 0, -1, 2, 0, 0, -1, -1, -1, 4, 0, 0, 0, 1, 1, -2, 1, 0, 0, 0, -2, 0, -1, -2, 2, 2, 1, 2, -1, 1, 1, 0, 6, 0, 1, 0, 1, 1, 0, -1, 0, 0, 1, -1, 1, 0, -2, -1, 1, -1, 0, 0, 0, 0, 0, 4, 0, 0, 1, 1, -1, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, 1, -2, -1, -2, -1, -1, -2, -2, -2, 1, -1, -2, -2, 1, -1, -2, -1, 1, 0, 4, 1, 0, 1, 1, 2, -1, 2, 1, 2, 2, 2, 0, 0, 0, 1, -1, 1, 2, 1, -1, -1, 1, 4, 1, -1, 0, 0, 1, 2, -1, 2, 2, 2, -1, -1, 2, 0, -2, 1, 2, 0, -2, 0, 0, 1, 4, -1, 0, 0, 1, 0, 1, -1, 1, -1, -2, 0, 0, -1, 0, 0, -1, 0, -1, 1, 1, -1, -1, 4, -1, 1, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, -1, -2, 1, 0, 0, -1, 4, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, -1, -1, 2, 0, 0, 1, 2, 4, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, -2, -2, -1, 1, 1, -2, 2, 1, 4, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, -1, -1, 2, 2, 0, 1, 1, 2, 1, 4, 0, 2, 2, 2, 0, 0, 2, 1, -1, 0, 2, 0, -2, -1, 1, -1, 1, 0, 1, 2, 0, 0, 4, 1, 1, 0, 0, 0, -1, 1, 1, 1, 0, 1, 0, -2, 2, 2, -1, 1, 1, 2, 0, 2, 1, 6, 3, 3, 0, -1, 2, 2, -2, 2, 3, 2, -3, -2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 3, 6, 4, -1, 1, 2, 2, -1, 2, 4, 2, -3, -2, 2, 2, -1, 0, 2, 1, 1, 2, 0, 3, 4, 6, 1, 1, 2, 2, -1, 1, 4, 1, -1, 1, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, -1, -1, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, 4, 1, 1, 0, -1, 1, -1, 0, -2, 0, 2, 0, 0, 0, 0, 1, 2, -1, 2, 2, 2, -1, 1, 4, 1, -1, 0, 2, 0, -2, -2, 1, 0, -1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 4, -1, 0, 2, 1, -1, 1, -1, -2, 0, -1, 0, 0, 0, -1, 1, -2, -1, -1, 1, 0, -1, -1, 4, 0, -1, 0, 2, -1, 1, 1, 0, -1, 0, 0, 0, 0, 1, 2, 2, 1, 0, -1, 0, 0, 0, 4, 1, 1, 0, -2, 2, 2, -1, 0, 2, 1, 1, 2, 0, 3, 4, 4, 0, 1, 2, 2, -1, 1, 6, 2, -2, -1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, -1, 0, 1, 0, 1, 2, 4, -2, 1, -1, -2, -1, -1, -1, -2, -1, -2, 0, -3, -3, -1, 1, 0, -2, -1, 2, 0, -2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 2, -1, 1, 1, 1, 2, -1, 0, -1, 0, -1, 1, -2, 0, 2, -1, 1, -2, 4, -2, 0, -1, -2, 1, 1, 1, -1, -2, 0, 0, 2, 0, -1, -1, 2, -1, -2, 1, 1, 2, -2, 4, -1, 2, 2, -1, 0, -1, 0, 0, 1, -1, -2, -1, 1, 1, -2, 1, 2, -1, 0, -1, 0, -1, 4, 1, -1, 2, -2, -1, -1, 1, -1, 2, 0, 1, 2, 1, 1, 1, -1, -1, 0, 1, -1, 2, 1, 4, 1, 1, 0, -2, 0, 0, -1, 1, -1, 1, 2, 2, -1, 2, 1, -2, 0, 2, -2, 2, -1, 1, 4, -2, 0, -1, 0, 2, 0, -1, -2, 0, -1, 0, -2, 0, 2, 0, 0, -1, 1, -1, 2, 1, -2, 4, 0, -1, 0, -1, 0, 2, 1, 0, 2, 0, 1, 0, -1, 0, 0, 1, 1, 0, -2, 0, 0, 0, 4, 0, 0, 0, -1, 0, 1, -1, -2, 0, -1, -1, 1, 0, 0, 1, 1, -1, -1, -2, -1, -1, 0, 6, 1, 1, 0, -1, 2, 0, -3, 0, 1, -1, -1, 1, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, 4, -1, 0, -1, 1, 1, 0, 0, 0, 1, 0, 0, -1, 2, -2, 0, 1, 0, 2, -1, 0, 1, -1, 6, -2, 1, -1, 0, -1, 1, -2, -1, 1, 0, 0, -1, 0, 1, -1, -1, 0, 0, -1, 0, 0, -2, 4, -2, -1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 2, 1, -1, 2, 0, -1, -1, 1, -2, 4, 1, 1, 2, 0, 0, 0, 0, -1, 1, -1, 2, -2, 0, -1, -2, 1, 1, 2, 1, -1, -1, 1, 4, 1, -1, -1, 1, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 4, 1, 1, 0, 2, 0, -1, 1, -1, -1, 1, 2, 2, -1, 2, -2, -3, 0, -1, 0, 2, -1, 1, 6, 1, 0, 2, 0, -1, 0, 1, -1, 1, 1, 2, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 1, 4, 0, 2, 0, -2, 0, -2, 2, -2, 1, -1, -2, 1, -1, 1, 0, -2, 0, 0, 1, 0, 0, 0, 4, 0, -2, 1, 0, 0, -1, 1, 1, 2, 0, 0, -1, -1, 1, -1, 0, 0, 0, 2, 2, 2, 0, 4, 0, -2, 0, 2, -2, 2, -1, 1, 2, -1, 1, -1, 0, 1, 0, 0, -1, 0, 0, 0, -2, 0, 4, 0, 0, -1, 1, -1, -1, -2, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, -1, -2, 1, -2, 0, 4, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, 2, 1, -2, -2, 0, -1, 2, -1, 2, -2, 1, 0, -1, -2, 0, 2, 0, -1, 1, 4, 2, 2, 0, 0, 1, 0, 0, -2, 0, 1, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 2, 4, 2, 1, 0, -1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0, 1, 0, -1, 0, 0, 1, 2, 2, 4, 0, 0, 1, -1, 1, -2, 1, 1, 1, 1, 0, 1, 0, -1, 0, 1, -1, 1, 2, 0, 1, 0, 4, 0, -3, -2, -1, 0, 0, 0, 2, -3, 2, -1, 0, 0, -1, 0, 1, -2, 1, 0, 0, 0, 0, 4, -1, 0, -1, 0, -1, -2, 0, -1, -1, -1, -2, 0, 2, 0, -1, -1, -2, 1, -1, 1, -3, -1, 6, 2, 1, -1, 1, 3, -2, 3, -1, 1, 0, 1, 1, -1, 0, 2, -2, 0, 0, -1, -2, 0, 2, 4, 1, 1, -1, -1, -2, 2, 0, -1, 0, 1, 1, -1, 1, 0, 0, 0, 1, 1, -1, -1, 1, 1, 4, 0, 0, 0, -1, 1, 1, 1, 1, 0, -1, 0, -1, 1, -1, -2, 0, -2, 0, 0, -1, 1, 0, 4, -2, -2, 0, -2, 0, 0, -1, 2, 0, -2, 1, 0, 2, 0, -1, 1, 0, -1, 1, -1, 0, -2, 6, 2, 0, 1, 0, 1, 0, -2, -1, 2, 0, 0, -1, 1, -1, 1, 0, -2, 3, -1, 0, -2, 2, 6, -1, 1, 0, 1, 2, 0, -1, 0, 0, 1, 2, 1, 1, 1, 2, 0, -2, -2, -1, 0, 0, -1, 4, -1, 0, -1, 0, 0, -1, 0, 1, 0, -2, 1, -1, 1, -3, -1, 3, 2, 1, -2, 1, 1, -1, 6, -1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, -1, -1, 0, 1, 0, 0, 0, 0, -1, 4, 0, 0, -1, -1, 0, 1, -1, 0, -1, 0, 1, -1, -1, 1, -1, 1, 0, 1, 1, -1, 0, 0, 4, 0, -1, 0, 1, -1, 2, -1, 1, 0, 0, 0, -2, 0, 0, 1, -1, 0, 2, 0, 1, 0, 0, 4, 0, -2, 0, 0, 1, -2, 0, 1, -1, 0, 0, 1, 1, 0, 2, -2, 0, 0, 0, -1, -1, 0, 6, 0, -4, 1, 0, 0, 0, 0, 0, -1, 2, 1, 1, -1, 0, -1, -1, -1, 0, -1, 0, -2, 0, 4, 0, 0, 0, 2, 0, -1, 1, 0, 0, -1, -1, 0, -2, 2, 0, 0, 0, 0, 1, 0, -4, 0, 6, 0, 0, 0, 0, 0, -1, 1, -1, 0, 1, -1, 1, 0, 0, 1, 0, 1, -1, 0, 1, 0, 0, 4, -1, -1, 0, 0, 1, -2, -1, 2, 0, 1, 0, 0, 1, 0, 1, -1, 2, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -2, 2, -2, -1, -1, -1, 1, 2, 0, 0, 1, -2, 1, -1, 1, -2, 1, -2, 0, 1, 6, 0, -3, -1, 2, 1, -2, 2, -2, 3, 0, 1, 2, -2, 1, -1, -2, -3, 2, 1, 0, -2, 0, 6, 3, -1, 1, -1, -2, 2, 1, -3, -2, -1, 0, -1, -1, -2, -2, 3, 0, 3, 1, -2, -3, 3, 6, -1, 0, 0, 1, -1, 1, -3, -1, 0, -2, 0, 0, 0, 1, 3, -2, 2, -1, 2, -1, -1, -1, 4, -2, -1, 0, -1, 1, 0, 1, 0, 0, 0, 1, 0, 1, -1, 0, -2, 1, -2, 2, 1, 0, -2, 4, 2, 0, 2, -2, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, -1, -1, 1, -1, 0, -1, 2, 4, 0, 1, -1, 0, 0, 0, 0, 2, 0, 2, 1, -2, 0, -1, -2, -1, -2, -2, 1, 0, 0, 0, 4, -1, 0, 0, 2, 1, -2, 2, 1, 2, 1, 0, -2, -1, -1, -1, 2, 2, -1, -1, 2, 1, -1, 4, -1, 0, -1, -1, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, -2, 1, 1, 1, -2, -1, 0, -1, 6, -3, -1, -2, 0, 1, -1, -2, 1, 1, 0, -2, 1, 2, 3, -3, -3, 0, 0, 0, 0, 0, -3, 6, 2, 2, 0, -2, 2, 0, 0, -2, 0, 0, -1, 0, 0, -2, -1, 1, 0, 0, 2, -1, -1, 2, 4, 2, -1, 0, 1, 1, 0, -1, -1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 1, -1, -2, 2, 2, 4, -1, -1, 1, 1, 0, 0, -1, 1, -1, 1, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, -1, -1, 4, -2, 0, -1, -1, -2, 2, 0, 1, -2, -2, -1, 0, 0, 1, 2, 2, 1, 1, -2, 0, -1, -2, 6, -1, 2, 1, 0, -1, -2, 0, 1, 1, -1, 0, 1, 0, 0, 1, -1, -1, 2, 1, 1, 0, -1, 4, 1, 0, -2, 0, 0, 0, -1, -1, -2, 0, 0, 1, 2, 2, 0, -2, 0, 1, 1, -1, 2, 1, 4, 1, -1, -1, -1, -1, 1, -2, -2, 1, 1, -1, 1, 1, -1, 1, 0, 0, 0, -1, 1, 0, 1, 4, 0, -1, -2, -1, -2, -3, 3, 3, -1, -1, -2, 0, 0, 1, -2, -1, 0, -2, 0, -2, -1, 0, 6, -2, 2, 1, 1, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, -1, -1, 2, -1, 0, -1, -1, -2, 4, 1, 1, -2, 1, 3, 2, -2, 1, -1, -1, 0, -2, 0, 0, 1, 0, -2, 0, -1, -2, 2, 1, 6, 0, 0, 0, 1, -1, 1, -1, -2, -1, 0, 1, -1, -1, -1, 1, 0, 0, -1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -2, -2, 0, 2, 1, 0, 1, 1, -1, 1, 0, 1, -1, 1, 0, 1, 0, 1, -1, 0, 4, -2, 2, -1, 0, -2, 0, 0, 0, 1, 0, 2, 1, 0, 1, -1, 2, -1, 2, -1, 1, -1, -2, 4, -1, 2, 0, 1, -1, 0, -1, -1, -1, -1, -1, 0, -1, 1, 0, 0, -2, 1, 1, -2, 2, -1, 6, 2, -1, -4, 1, 1, 1, -1, 0, 1, 2, 1, 1, -1, 1, -1, 1, -1, 0, -2, -1, 2, 2, 6, 1, -1, -2, 2, -2, -3, -1, 1, 0, 2, 1, -1, -1, -2, 0, -1, 1, 0, 0, 0, -1, 1, 4, -1, -2, -1, -2, -1, 1, 2, 0, 0, -1, -2, -1, -2, 1, 0, -1, 2, -2, 1, -4, -1, -1, 6, 1, 1, 0, 1, 0, -2, -2, 0, 0, 1, -1, 1, -1, 1, 0, 1, 0, -1, 1, -2, -2, 1, 4, 1, 2, 1, 0, -1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1, 2, -1, 1, 1, 4, -1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -2, -2, 0, 2, -1, 4, 0, 0, -1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 1, 1, -1, -1, -3, -1, 1, 1, 0, 0, 4, 1, -1, -1, -1, 0, 0, 1, 1, 0, 1, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 1, 4, 0, -1, -1, 0, -2, -1, 0, 1, 1, -1, 1, 2, -1, 1, 1, 2, -2, -1, 1, -1, -1, 0, 6, 0, 2, 0, 0, 1, -1, 1, -1, 0, 0, 1, -1, 2, 0, 0, -2, 1, 0, 1, -1, -1, 0, 4, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, -1, -1, 2, 0, 4, 1, 0, -1, -1, 0, 0, 0, -1, 1, -1, 1, 1, -1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 4, 0, 0, -1, 1, -1, 1, 1, -1, 1, -1, -1, -2, 1, 1, 0, 1, 0, -2, 0, 0, 0, 0, 4, 1, 2, -2, 0, 1, 0, 2, 0, 1, -1, -1, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, 1, 4, 1, 0, 0, 1, 1, -1, 0, -1, -2, -2, 1, 1, 0, 1, 1, 0, -1, 0, -1, -1, 2, 1, 4, -2, 1, 0, 0, 2, -2, 1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, -2, 0, -2, 4, 0, 0, 1, -1, 1, -1, -1, 0, 1, 0, 0, 0, 1, 1, -1, -1, 0, -1, 0, 0, 1, 0, 4, -1, -1, 1, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, 1, 1, -2, 0, 0, 1, -2, -1, -1, -1, 1, 2, 2, 1, -2, -1, 1, -2, 4, 2, 1, 1, -1, -1, 2, 1, -1, -1, 1, -1, 1, 0, -1, -1, -2, -1, 2, -1, -1, -2, 2, 4, 1, 2, 0, -1, 2, 0, 0, -1, 2, 0, 1, 1, 0, -2, -2, -1, 2, -1, -2, 0, 1, 1, 4, 2, -1, 1, 1, 0, 1, -1, 0, 1, 2, -1, 0, 0, -1, -1, 1, 1, -1, -1, 1, 2, 2, 4, 0, 1, 1, 0, 0, -2, 1, 0, 2, -1, 0, -1, -1, -2, 1, 1, -1, 1, -1, 0, -1, 0, 4, 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 1, 0, 0, 1, 1, -1, -1, 1, 1, 0, 4, -1, -1, -1, 0, -1, 1, 1, -1, -1, 2, 1, 0, -1, 1, 0, -2, 2, 2, 1, 1, 0, -1, 4, 0, 0, 0, 2, 0, 2, 1, 0, -2, -2, -1, 2, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 4, 0, 1, 1, -1, 0, -1, 0, 0, 0, 1, 0, -1, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 4, 1, 0, 1, 0, 0, 0, -1, -1, 0, 1, 2, -1, 1, -1, -1, -1, -2, 1, 0, 0, 1, 1, 4, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, -2, 1, 2, 0, 1, 1, -1, 2, 1, 0, 0, 4, 0, 1, 0, 0, -2, -2, -1, 1, 0, 0, -1, -1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, 4, 0, 1, -1, 0, -1, 1, 1, 2, 0, -1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 4, -1, 0, -1, -1, -2, 1, 1, 0, -1, 0, 1, -1, -1, -1, -1, 1, -1, 0, 1, 0, 1, -1, 4, 0, -1, -1, 1, 1, -2, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 4, 1, 1, -1, -1, -1, 1, 2, -1, -2, 0, -1, -1, 2, -2, 0, -1, 0, -2, 0, -1, -1, 1, 4, 2, 1, -2, 0, 1, 2, -2, -2, -1, -1, 0, 1, -2, 0, -1, 0, -2, -1, -1, -1, 1, 2, 4, 1, -2, 0, 1, 1, -1, -1, -1, -2, 1, 0, -1, 1, 0, 1, -1, 1, -2, 1, -1, 1, 1, 4, -1, -1, 1, -2, 2, 2, 1, 1, 0, -1, 2, 0, 1, 0, 1, 1, 1, 1, -1, -2, -2, -1, 4, 1, -1, -1, -1, -1, 1, 1, 0, 1, -1, -1, 2, -1, 0, 2, 1, -2, -1, 0, 0, -1, 1, 6, -1, 1, -1, -2, -1, -1, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 2, 1, 0, -1, 0, 1, 2, 2, 1, -1, 0, 1, 2, 0, -1, 2, -1, 1, 2, 4, -2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, -1, -1, 1, 0, 0, 2, -1, 1, -2, -2, 4, 0, 0, -1, 0, 0, 1, -1, -2, -2, -1, -1, 1, 1, 0, 1, -1, -2, 1, -1, -2, 0, 0, 4, -2, 0, -1, 2, -1, 0, 0, 0, -1, 2, 0, -2, -2, 1, 2, 0, 0, -1, 2, 1, 0, -2, 4, -1, 0, -1, 1, 0, 1, 1, 1, -1, 0, 1, 2, 0, -1, 1, -1, 1, 1, 0, -1, 0, -1, 4, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 4, -2, -1, -1, 0, 0, -1, -1, -1, 1, -1, 1, -1, 0, -1, -1, -1, 0, 0, 2, -1, 0, -2, 4, 1, 0, 0, 0, 1, 1, 0, -1, -1, -1, 1, 0, 0, 1, 0, 0, 1, -1, 1, 0, -1, 1, 4, -1, 0, -1, 1, -1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 1, -1, 0, -1, 4, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, -2, 0, 1, 1, 0, 0, 0, 0, 4, 1, 1, -1, 0, 0, 0, 0, 0, 2, -1, 1, 2, 2, -2, 0, 1, 0, 0, 0, -1, 0, 1, 4, 1, 0, -1, -1, 1, 0, 0, 1, -2, 0, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 4, -1, 0, 0, 1, -2, 1, 1, 0, 2, -1, 0, -1, 2, -1, 0, -1, 1, -1, 1, -1, 0, -1, 4, -1, -1, -1, 0, 1, 0, 1, 0, 0, -1, 1, 0, 0, -1, -1, 0, -1, 0, 0, -1, 0, -1, 4, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, -2, 1, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, 4, 1, 0, -2, 0, 1, 1, 2, 1, 0, -2, 2, -1, -1, -1, 1, 1, 0, 1, 1, -1, 0, 1, 4, 0, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 0, 0, 0, 0, -2, 0, -1, 0, 0, 4, 0, 0, 0, -2, -1, 0, -1, 2, -1, 1, -1, 1, 0, 1, 0, 0, 1, 1, 0, -2, -1, 0, 4, 0, 0, 0, 2, 2, -2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 4, 0, 1, -1, -1, 1, 0, -1, 1, -1, 0, 0, 1, -1, -2, 0, 1, 0, 1, 0, 0, 0, 0, 4, 0, 1, 1, -1, -1, 1, 0, -1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, -2, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 2, -1, 2, -2, -1, 0, 1, -2, 2, -1, 2, 0, 2, 2, 2, 1, 1, 1, -1, 4, -1, -1, -1, 2, -1, 0, -1, -1, 0, 1, 0, 2, 1, 0, -1, -2, 0, 0, -2, 1, 1, -1, 4, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 0, -1, -1, -1, 0, 1, 1, -1, 0, 2, -1, 0, 4, 1, -1, 2, -2, 0, -1, -1, -1, 1, -2, 1, -1, 1, 2, 1, -1, 2, 1, 2, -1, 0, 1, 4, -1, 2, 0, -1, -1, 0, 0, 1, -2, 1, 0, 2, 1, 1, 0, 0, 1, -1, 2, 0, -1, -1, 4, -2, -1, 0, -1, 0, 0, -1, 2, -1, 0, -2, -2, 1, 0, 0, 0, 2, -1, 0, 2, 2, -2, 4, -1, 0, -1, 0, 0, 2, -1, 2, 0, 1, 1, 1, 0, 0, 0, -2, 0, 0, -2, 0, -1, -1, 4, 0, 0, 0, 2, -1, 0, -1, 0, 0, -1, -2, 0, -1, 0, -1, -1, 1, 0, -1, 0, 0, 0, 4, -1, 0, 0, -1, -1, 0, 1, -1, 0, -1, 0, 0, -2, 0, -1, -1, -1, -1, -1, -1, 0, -1, 6, 2, 0, 0, -1, 1, -1, 1, 1, -1, 2, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 2, 4, -1, 1, -1, 2, 0, 0, 0, 0, 2, -1, 0, -2, 1, -1, -1, 0, 0, 0, 2, 0, 0, -1, 4, 0, 0, -1, -1, 0, -1, -1, -1, -2, -1, 2, 0, 1, 1, 1, -1, 2, -1, -1, 0, 1, 0, 4, -1, 2, -1, 1, 0, 2, 1, -1, 1, -1, 2, 0, -2, -2, 2, -1, 0, -1, -1, -1, 0, -1, 6, -2, 1, -2, -2, 0, 0, 0, 0, 2, 1, -1, 1, 1, -1, 2, -1, 0, 1, 2, -1, 2, -2, 6, 0, 1, 0, 1, 2, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, -1, -1, 1, 0, 4, 1, 0, -1, 0, 1, 0, 2, -1, -1, 1, 2, -2, 1, 0, -1, 1, 0, 0, 1, -2, 1, 1, 4, 2, 0, 0, 1, 1, 2, -2, 0, 2, 1, -2, 1, -1, 0, 1, 0, -1, 0, -2, 0, 0, 2, 4, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, -2, -1, -1, 0, -1, 2, 0, 1, -1, 0, 0, 4, 0, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 2, 2, -1, 1, 0, 2, 0, 0, 0, 0, 4, 0, 0, 1, -2, -1, 2, 0, 0, 0, -1, 0, 0, -1, -2, -1, 0, -1, 1, 1, 2, 0, 0, 6, 0, 1, 1, 0, 1, 1, 0, 0, 0, -2, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 0, -1, 1, -1, -2, -1, -2, 1, -1, -1, -1, 2, 1, 0, 0, 0, 1, -1, 1, 4, -2, 2, 1, 0, 1, -1, -1, -1, -2, -1, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, -2, -2, 4, -1, 0, 0, -1, 2, 1, 0, 2, 0, 0, 0, 0, -2, -1, 1, 0, -1, -1, 0, 2, 2, -1, 6, -1, 0, 2, 1, -3, -2, -1, 0, -1, -2, 0, 1, 2, 0, -2, 0, 0, 1, 0, 1, 0, -1, 4, -1, 0, 0, 1, 1, 0, 1, -1, 2, 1, 0, 0, 0, -1, 0, -2, 0, -1, 0, 0, 0, -1, 4, -1, 0, -1, -1, 0, -2, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, -1, 2, 0, -1, 4, 1, -1, -1, -1, 1, -2, 0, -1, 2, 0, 1, 1, -1, -1, 1, -1, -1, 2, 1, 0, 0, 1, 4, -1, 0, 1, 0, 0, 0, 0, -1, 1, 2, 0, -2, -2, 0, -2, -1, 1, -3, 1, -1, -1, -1, 4, 1, 1, 1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 1, -1, -1, 0, -2, 1, -1, -1, 0, 1, 4, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, -1, -2, -2, 2, -1, 0, 0, -1, 1, 1, 0, 4, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -2, 1, 0, 1, 0, 1, 4, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, -1, 0, -1, -1, 2, -2, 0, 0, 0, 0, -1, 4, 0, 0, -1, 1, -1, 0, 1, 1, -1, -1, 1, 0, -2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 4, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 2, 0, -1, 0, 0, 4, 0, 1, -1, -2, 1, -1, 0, 2, 1, -2, 1, 0, 0, 2, -1, -1, 0, -2, 0, -1, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 1, 1, 4, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, -1, -1, -1, 0, 0, 4, 1, -2, -1, 0, 0, -1, 0, -2, -1, -1, 1, 0, 1, 0, 0, 1, 0, 0, -2, 0, -1, 1, 4, -1, 1, 0, 0, 1, -1, 0, 0, 0, -1, -2, 0, 0, 0, 0, 1, 0, 1, 0, 0, -2, -1, 4, 2, 0, 1, -1, -1, 0, -2, -1, -1, -2, 0, 1, 0, 1, 1, -1, -1, 0, 0, -1, 1, 2, 6, -1, -1, 1, 0, 1, 0, -1, 1, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 1, -1, 2, 1, 2, -1, 2, 2, -1, -1, 0, -2, 1, 1, 1, 1, 1, 4, 0, -2, -1, 2, 0, -1, 0, 2, 2, 1, 0, 0, 1, 0, 0, -1, 0, 2, -1, 1, -1, 0, 4, -1, 0, -1, 0, -1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, -2, -1, -2, -1, 4, -1, -2, -1, 1, 0, -2, -2, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 0, 2, -1, 0, -1, 4, 1, 0, -1, 2, 0, 1, -1, 2, 1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 2, -1, -2, 1, 6, 0, 1, -1, 1, 3, 1, 1, 0, 1, -1, 1, 1, 2, 1, -1, 2, 1, 0, 0, -1, 0, 0, 4, -1, 1, 0, 2, -2, 1, 1, 0, 1, 1, -1, 0, 0, 0, -1, -1, -1, -1, 1, -1, 1, -1, 4, -1, -1, -1, 0, 0, 0, 0, -1, 0, 2, 0, -1, 0, 1, 2, 0, 0, 0, 2, -1, 1, -1, 4, 0, 1, -2, 2, 2, 0, 0, 1, -2, 1, 0, 0, 0, 1, 2, 1, -2, 0, 1, 0, -1, 0, 4, 0, 1, 0, 1, 0, 0, 0, 0, -1, 2, -1, 0, 2, 2, -2, -2, 1, 3, 2, -1, 1, 0, 6, -1, 1, 0, 1, 0, 1, -1, 2, 0, -1, 1, -1, 1, 0, 0, -1, 1, -2, 0, -2, 1, -1, 4, -2, -1, 1, -1, 0, 1, 0, 1, -1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, -2, 4, 2, 0, 0, 1, -1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, -1, 2, 4, 0, -1, 0, -1, 0, 0, 1, 1, -1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 4, 1, 1, 0, 0, 1, -2, 0, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, 1, 4, 1, -1, -1, 0, -1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 4, 0, 2, 0, -1, 0, -2, -1, 1, 0, -1, 1, -1, 2, -2, 0, -1, 1, -1, -1, 0, -1, 0, 4, 0, 0, 0, 0, 1, 0, -1, 1, 1, 2, 0, 0, 1, -1, 2, 0, 1, 0, 0, -1, 2, 0, 4, -1, 0, 1, 1, 2, 1, -2, 0, 1, 0, -1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, -1, 4, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, -1, -1, -1, 0, 1, -2, -1, -1, 0, 0, 0, 4, 0, 1, 1, -2, 0, 0, 2, -1, 1, 0, 0, 1, 1, 0, 1, 0, -1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, -1, 1, 0, 1, 1, 0, 1, 0, 0, 0, -1, 0, -1, 2, 1, 2, 1, 0, 2, 4, -1, 1, 1, 1, -1, 0, 0, 0, 1, -1, -1, -1, 0, -1, -1, 1, 1, 1, 0, 1, 0, -1, 4, 1, -2, 0, 2, 1, 2, 1, 0, 2, -1, 2, -2, 1, 1, -1, 0, 1, 1, 1, 1, 1, 1, 4, 1, 2, 0, -1, 1, 1, 2, 2, 1, 0, 0, -1, -1, 0, -1, 1, 0, 0, -1, 1, -2, 1, 6, 2, 0, -2, 0, 0, 2, -2, -1, 0, 2, -3, 1, -1, -1, 0, 0, 0, 1, 1, 0, 2, 2, 4, 1, 0, 1, 1, 2, -1, 0, 0, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 2, 0, 0, 1, 4, 0, 2, 1, 0, -1, 0, 2, -2, 1, 1, -1, 0, 1, 1, 1, 1, 0, 1, -1, -2, 0, 0, 4, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 4, 0, 1, 1, -1, 2, -2, 0, 1, -1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, -1, 0, 4, -1, -1, -1, 0, -1, 0, 1, -1, -1, 1, -1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, -1, 4, 0, 1, 1, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 2, 2, -2, -1, -1, 0, 1, -1, 0, 6, 0, 1, 0, 1, -1, 0, 1, 0, 0, -1, 0, -1, -1, 1, -1, 0, 0, 0, -1, -1, 1, 0, 6, -1, 0, 1, -2, 0, -2, -1, 0, -1, 0, -1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, -1, 4, -2, 1, 1, -1, 0, 1, 1, 1, -1, 0, -2, 0, 2, 0, -2, 0, -2, -1, 0, 0, 0, -2, 4, -2, -1, 0, 0, -1, -1, -1, 0, -1, 1, -1, -3, -1, 1, 1, 0, 0, -1, 1, 1, 1, -2, 4, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -2, 1, -1, 0, 4, -1, 0, 0, 1, 1, 2, 1, -1, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0, 0, -1, 4, 1, 0, 1, -1, 1, 1, 0, -1, -1, -1, 0, 0, 1, -1, -1, 1, -2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 1, 0, 1, 4, -1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, -1, -1, 1, -1, 1, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -1, 2, 1, 1, -1, -1, 2, -1, -1, -1, -1, 1, -1, 1, 1, 0, 2, 1, 4, -1, 0, 2, -2, 1, 2, -1, -1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 4, -1, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, -1, -1, -1, -1, 1, 1, 1, 0, -1, 0, -1, 4, -2, 1, -1, -2, 0, -1, -1, -1, -1, 1, -1, 0, 1, 1, 0, -1, 1, -1, 1, 2, 0, -2, 4, -2, 2, 2, -1, -1, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 1, -1, -2, 0, 1, -2, 4, -1, -2, 0, 0, -1, 1, -1, 1, 0, -1, 0, -1, -1, 1, -1, 0, 2, 1, 0, -1, 2, -1, 4, 1, 1, -2, -1, 1, -1, -2, -1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, -2, 2, -2, 1, 4, -1, 0, 1, -1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, -1, 0, 1, -1, 4, 0, -2, 2, -2, -1, -1, 0, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 0, -2, 0, 0, 4, 0, 1, 0, 1, 1, 1, -2, 0, 1, 0, -1, 0, -1, -1, 1, -1, 1, -1, -1, 1, -2, 0, 6, -3, 2, -1, 1, -1, -1, 0, 0, 0, 0, -2, 2, -1, 1, -1, -1, 1, 1, -1, 2, 1, -3, 6, -2, 0, -2, 0, 0, -2, 0, 1, 0, 2, -1, 1, 0, -1, 1, -1, -1, 2, -2, 0, 2, -2, 4, 0, 2, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1, 1, -1, 1, -2, 0, -1, 1, -1, 0, 0, 4, 0, 1, 0, 1, 0, -1, 0, -1, -1, 0, -1, -1, 1, 0, -1, 1, -1, 1, 1, -2, 2, 0, 4, 0, -1, 0, 0, 0, -2, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 4, 1, 2, -1, -2, 0, 0, 1, 1, -1, 1, 1, 0, 2, 0, -1, -2, -1, 0, 0, 0, -1, 1, 4, 1, -1, -1, 1, 1, -1, 0, -1, 1, 0, -1, 0, 0, -1, 0, 0, -2, 0, 1, 0, 2, 1, 4, 0, -2, 1, -1, 1, 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 4, 0, 0, 1, 1, 0, 1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0, -1, 0, -2, -1, -2, 0, 4, 0, 1, 0, 1, 1, 1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 4, -1, 2, 1, 0, -1, 1, 0, 2, 1, 1, 0, -2, 2, -1, -1, 0, 0, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, -1, 1, -1, -2, -1, -2, -1, -1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 4, -1, -1, 1, 2, -2, 2, 1, 1, -2, 1, 2, 1, 0, 1, 2, -2, 1, -2, 0, 1, 1, -1, 4, 0, 0, 0, 1, -2, -1, 0, 0, 0, 0, 1, -2, -1, 0, 2, -2, -1, 1, -1, 2, -1, 0, 4, -2, -1, 0, 1, 0, -2, 0, -1, -2, -1, 0, -1, -2, -1, 0, 2, 1, 1, -2, 1, 0, -2, 4, 2, 1, 0, 0, 2, -1, 2, 2, 1, 0, 0, 2, -1, 0, 0, 0, -1, -1, 2, 0, -1, 2, 4, -1, 0, 0, 1, -2, 1, 1, 2, 0, 0, 1, -2, 0, 0, 0, 1, -1, -2, 1, 0, 1, -1, 4, -2, -1, 1, 1, 0, -1, -1, -1, -1, 0, 1, 0, 1, 1, -1, 1, 2, -2, 1, 0, 0, -2, 6, 2, -1, -1, -1, 1, 1, 0, 2, 1, -2, 0, 0, -1, 0, -1, 1, -1, 0, 0, 0, -1, 2, 4, -1, -1, 0, 0, 1, 0, 1, 2, 0, 1, -1, 1, -1, -2, 1, 0, -2, 2, 1, 1, -1, -1, 4, 0, 2, 2, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, -2, 0, 0, -1, -2, 1, -1, -1, 0, 4, 0, -1, -1, 1, -1, 0, 1, 0, 1, -1, -1, -2, 1, 0, -1, 2, 1, 0, -1, 0, 2, 0, 4, 2, 1, 0, 0, 2, 0, 0, -1, 1, -1, -1, 2, 0, -2, 2, 1, -1, 1, 0, 2, -1, 2, 4, 1, 0, 1, 2, 0, 0, -2, 0, -1, -1, 1, 1, -1, 1, 2, -1, 1, 1, 1, -1, 1, 1, 4, -1, 1, 1, 0, -1, -1, 0, 0, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 4, -1, -1, -2, 2, 2, -1, 1, 0, 1, -1, -1, 0, 0, -1, 2, 1, 0, -1, 0, 1, 1, -1, 4, 0, 0, -1, -2, 0, 0, -2, 2, 0, -2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, -1, 0, 6, 0, 1, -2, 0, -2, 0, -2, 2, -1, -1, -2, 1, -2, 0, -1, 1, 0, 0, 0, -2, 0, 0, 6, -1, -2, 1, -2, -1, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 2, -1, 1, -1, 4, 0, 0, 1, 0, -2, -1, 2, 0, 0, 1, 0, -1, 0, 1, -1, -2, -1, 2, -2, -2, -2, 0, 6, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 4, -1, 1, 1, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, 0, 1, 0, -2, -2, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 1, 1, -1, -2, -1, 1, 1, -1, 1, 0, -1, -1, 1, -1, 2, -1, -2, 2, -2, -1, 4, 2, 0, -2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, -2, 0, 1, 0, -1, -1, 1, -1, 2, 4, 1, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, -1, -1, 1, -1, -1, -2, 2, 1, 0, 1, 4, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, -2, 0, -1, 0, 1, 0, 1, -2, 0, 1, 4, -2, -1, 0, -1, -1, 0, -1, -1, 0, 0, 2, 0, 1, -1, -1, 0, -1, -1, 2, 0, 0, -2, 4, 2, 1, 0, 1, -1, 0, 2, 0, 1, -2, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, -1, 2, 4, 2, 0, -1, 1, 0, 1, 0, 2, -1, 0, 0, 0, 0, 0, 0, -1, 2, 1, 1, 0, 1, 2, 6, 1, 0, 1, 0, -1, 2, 3, 0, 1, 1, 1, -1, -2, 0, 1, 1, 0, 0, -1, 0, 0, 1, 4, 2, 1, 2, -1, 0, 0, -1, 1, 2, 1, -2, 0, -1, 1, 1, -1, 0, -1, 1, -1, 0, 2, 4, 0, 2, 0, 0, 0, -1, 1, 0, 1, 0, 0, -1, -1, 0, 1, 1, 0, -1, 1, 1, 1, 0, 4, 1, 0, 0, 1, -1, 0, -1, 1, 1, 0, 0, 1, 1, -1, 0, -1, 0, 0, 0, 2, 2, 1, 4, 0, 0, 0, -1, 1, 1, 0, -1, 2, -1, 0, 1, 0, 1, -1, 2, 1, -1, -1, 0, 0, 0, 4, -1, 0, -2, -2, -1, 0, 1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, -1, 4, 1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 0, 1, 0, 1, 2, 3, 0, 0, 1, 0, 0, 1, 4, 0, 0, -1, 0, 0, 0, 0, 1, -2, -1, 0, 2, -2, -1, 0, -1, -1, -1, -1, -2, 0, 0, 4, 1, 0, -1, 0, 0, 0, -1, 0, -1, -2, 0, 0, 0, 1, 1, 1, 0, 1, -2, 0, 0, 1, 4, 0, 1, 0, -1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, -1, 1, -1, 0, -1, 0, 0, 6, -1, -4, 1, -1, -1, 0, -1, -1, -1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, -1, 1, -1, 4, 1, -1, 0, -2, -1, -1, 0, -1, 0, 0, -1, -2, 0, 1, -1, 1, 0, 0, 0, 0, -4, 1, 6, 0, 1, 2, -1, -2, 1, 0, 0, 0, -2, 0, 0, 0, 2, 1, 0, 0, 0, -1, 1, -1, 0, 6, -2, -2, 1, 2, 0, -1, 0, 0, 0, -1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 2, 1, 1, 1, 2, 1, -2, 1, -1, 0, -1, -1, 0, -1, -1, -1, -2, -1, -2, 1, 4, 1, 1, 0, -1, 2, 1, 0, 0, 2, -2, 0, -1, 1, -1, 0, -1, -2, 0, -2, 0, 1, 1, 4, -1, 0, -1, 0, 0, -1, 1, 2, -2, 1, 0, 0, 1, 0, -2, 0, 1, 0, 0, 2, 1, -1, 6, 0, 1, 1, 2, 3, -2, -1, 2, 1, -1, 1, -2, 0, 0, -2, -2, 1, -3, 1, 0, 0, 0, 4, 1, 0, 0, 1, -1, -1, -1, -2, 0, 1, 1, -2, -1, 0, 1, -2, 1, 1, -1, -1, 1, 1, 4, -1, 1, 1, 0, 0, 2, -1, 1, 0, -1, 0, -1, 1, -2, 0, -2, 1, 2, 0, 1, 0, -1, 4, 2, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, -2, -1, 0, -1, 2, 1, 0, 2, 0, 1, 2, 4, 1, 0, 0, 1, 0, 0, 0, -2, 0, 0, -1, -2, 0, -2, 1, 0, -1, 3, 1, 1, -1, 1, 4, -1, -1, 2, 0, -1, 1, -1, -1, 0, -1, -1, -1, -1, -2, 0, 1, -2, -1, 0, 0, 0, -1, 4, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, -1, -1, 0, 0, 0, -1, 1, 4, -2, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, -1, -2, -2, 2, -1, 2, -1, 1, 2, 0, -2, 6, 0, 0, 1, -2, 1, 1, 1, -2, 2, -2, 0, 0, 1, 1, -2, -1, 0, 0, 0, 0, 0, 0, 4, -1, -1, -1, 0, 0, -1, -1, 1, 0, -1, -1, 0, -1, 0, 1, 0, 0, -1, 1, 0, 0, -1, 4, -1, 0, 0, -1, 1, 1, 2, -1, -1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, -1, -1, 4, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, -2, 1, -1, -1, -2, -1, 0, 0, -2, -1, 0, 0, 4, -1, 0, 1, 2, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, -1, 4, 0, 1, 0, 1, 0, -1, -1, -2, 0, -1, -1, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 4, 0, 0, 1, 1, -1, -2, 0, -2, 0, 1, -2, -1, -1, 0, 0, 1, -1, 1, 0, 1, 1, 0, 4, 1, 1, 1, -2, 0, 1, -2, 1, -2, -1, -2, -1, 0, 0, -2, -1, 1, 1, 2, 0, 0, 1, 6, 1, 3, -1, -2, 0, 1, -2, 0, 0, 0, -1, 0, -1, 2, 1, 2, -1, 0, 1, 1, 1, 1, 6, -2, -2, 0, 0, -3, 1, -2, -1, -2, -1, 0, 0, -2, 0, -1, 0, 1, 0, 1, 1, 3, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, -2, -1, -2, -2, 1, 0, 0, -1, 0, 1, 0, 2, 0, -2, 0, 1, 0, 0, 4, -2, -1, -1, 0, 0, -1, -1, 0, -1, 1, 0, -2, -2, 0, -1, 2, 2, 2, -2, 2, 1, -2, 6, -2, 0, 1, 2, 2, 0, -2, -1, 0, 2, 1, 3, -2, 2, 1, 0, -3, 1, 1, -2, -1, -2, 6, 2, 1, -1, 1, 2, 1, 1, -2, -1, -1, -2, 1, -2, 0, -1, -1, 2, -3, 0, -1, 0, 2, 4, 0, 0, 0, 2, -1, 0, 0, 0, 0, 1, -1, 0, 1, -2, -2, 0, -1, -2, 0, 1, 1, 0, 4, 2, 2, 2, -2, 0, -1, 0, -1, 1, 0, 0, 1, 1, -1, -1, 0, -1, 0, 2, -1, 0, 2, 4, 1, 1, -1, 0, 1, 0, 1, 2, 0, 0, 2, 2, -2, -2, 0, -2, -1, 2, 1, 0, 2, 1, 4, 2, -2, 0, -1, 1, 0, 0, 0, 0, 1, 1, -2, 1, 1, -2, -1, 0, 2, 2, 2, 1, 2, 4, -1, 0, -1, 0, 0, 0, 0, -1, 1, 0, -2, 0, 0, 1, 0, -2, 1, -1, -2, -1, -2, -1, 6, 2, -1, -1, 1, -1, 1, 0, -2, 1, 2, 0, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 2, 4, 0, -1, 1, 0, 1, 1, -2, -1, 1, 0, -2, 0, 1, 0, -2, 0, -1, 1, -1, -1, -1, 0, 4, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, -1, 0, 2, -1, 0, 0, 0, 1, 0, -1, -1, 1, 4, 0, 0, -2, 0, 0, 1, 0, 0, 2, 0, -2, 1, -1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 4, 2, 0, 0, -1, 0, -1, 0, -1, 1, -2, 3, -2, 1, 1, 2, 0, 0, -1, 0, 0, 0, 2, 6, -1, 2, -1, -1, -2, -1, 0, 0, 0, -2, 1, -1, 0, 0, 0, 0, 1, 1, 0, -2, 0, -1, 4, 0, 0, 0, 0, 1, -1, 2, -1, 2, -2, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0, 4, -1, -1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, -2, -2, 1, 0, -1, -1, 0, -1, 6, 2, -2, 0, 1, -2, 2, 0, -1, -2, 1, 2, 1, 0, 1, -1, 1, 1, 0, -1, 0, -1, 2, 6, 0, -2, 2, 0, 2, -3, -1, -2, -1, -2, -2, -2, 2, 1, 0, 0, -1, -2, 0, 0, -2, 0, 6, -1, 1, 1, -2, 1, 2, 0, -1, -2, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, -2, -1, 6, -2, 0, 2, 1, -3, -1, 0, 0, 1, 0, -1, -2, 0, 2, -1, 0, -1, 1, 1, 2, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, -1, -2, 1, -1, 2, 0, 0, -1, -1, -1, 0, -1, 2, 1, -1, -1, 2, 0, 1, 4, 1, -2, -2, 0, 1, 0, -1, 1, 1, 0, -1, -2, 1, 1, -1, -1, 0, 0, -1, 1, 0, 1, 4, -2, 1, 0, 2, 0, -1, 0, 2, 0, 1, -2, 1, 0, 0, -2, 1, 0, 0, 1, -2, -2, -2, 6, 2, 1, -1, -1, -1, -1, -2, 1, 2, 0, -2, -1, -1, 1, 1, 1, -2, -2, -1, -2, 1, 2, 6, -1, 2, -2, -1, 1, 0, 2, 0, -1, -2, -2, 1, 1, 1, 2, -1, -2, -2, 0, 0, 1, -1, 4, -2, 2, -1, 0, 0, 1, 2, 0, 1, 1, -2, 0, 0, 1, -2, 1, 1, 1, 2, -1, 2, -2, 4, -1, 0, 1, 1, 0, -1, -2, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -2, 2, -1, 4, 1, 0, 0, -1, 1, 0, 2, 2, -1, 0, 0, -1, -1, 2, 2, -1, -1, -1, -1, -1, 0, 1, 4, -1, -1, -1, -1, 1, 1, 0, 2, 1, -1, -1, 2, 1, 0, 1, 0, -1, 1, 0, 1, 0, -1, 4, 1, 1, -2, 0, 0, 0, 0, 1, -1, 1, -2, 0, 0, 1, 2, -2, 0, 0, 1, 0, -1, 1, 4, 1, 0, -1, 0, 1, -1, -1, -1, -1, 0, 1, -1, 0, 0, 1, 2, 1, 0, -1, -1, 1, 1, 4, -1, -1, 0, -1, 0, 1, 0, 2, -2, -1, -1, -1, 1, 2, 0, 2, -1, 1, -1, -2, 0, -1, 6, -2, 0, 0, -1, -1, 2, -1, 0, 1, -1, -2, -2, 0, -1, 0, -2, 0, 1, 0, -1, -1, -2, 6, -1, 1, 0, 0, -2, 0, 2, 0, 0, 1, 1, -2, -2, 1, 0, 2, 1, 0, 0, 0, 0, -1, 4, 0, 0, -1, 1, 0, -1, 2, -1, 1, 0, -1, -2, 1, -1, 2, 0, 0, 1, -1, 0, 1, 0, 4, -1, -1, -1, -1, 0, 2, 2, -1, 0, -1, 1, -2, 1, -1, 2, 0, -1, 0, -1, 0, 0, -1, 4, 1, 0, 0, 2, 0, 1, -1, -2, 1, 1, 0, 0, 0, 1, 1, -1, 1, -1, 0, -1, -1, 1, 4, -1, 1, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0, 2, -2, 1, -1, 0, -1, 4, 0, -1, 0, -1, 0, 0, 1, 2, 1, 0, -1, -1, 1, -1, 2, -1, 0, 0, -1, 0, 1, 0, 4, -1, -1, 2, -1, 0, -2, -1, -2, 0, -1, 2, -2, 0, -2, 0, 2, -1, 0, 2, 0, -1, -1, 6, 0, 0, 1, 1, -2, -2, 1, 0, 2, 1, 0, 1, -1, 1, 0, 2, 2, 0, -1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 1, 1, 1, -1, -1, 2, 1, 1, 0, -1, -1, -2, -1, -2, 0, 1, 1, 4, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, -1, 0, -1, 1, -1, 0, 1, -1, 0, 1, 2, 2, 6, 1, 1, 2, -1, 2, 3, -1, -1, 2, 1, 0, 0, -2, 1, 0, 2, -2, 1, 2, -1, 0, 1, 4, 0, 0, 0, 0, 2, -1, -1, 0, 1, 1, -1, -1, 2, 2, 0, -1, 0, -1, -1, 0, 1, 0, 4, 0, -2, 1, 1, 1, 0, 0, 1, -1, -1, -1, -1, 0, 2, 1, -1, 1, 1, 0, 2, 0, 0, 4, -1, 2, 2, -2, 0, 1, 1, 1, -1, -1, 1, 0, 0, -1, 2, 0, 1, 0, -1, 0, -2, -1, 4, -2, -2, 1, 0, 0, 0, 1, 0, 1, 0, 0, -2, -1, 0, 0, 1, 0, 2, 0, 1, 2, -2, 4, 1, -2, 0, 0, 0, 1, 0, -2, 0, 0, 1, -1, 0, 0, 1, 2, 3, 2, 1, 2, -2, 1, 6, -1, -1, 2, 1, 0, -2, -1, 1, 0, 1, -1, 1, 1, -1, 1, -1, -1, 1, -2, 1, -2, -1, 4, 1, -1, -1, -1, 0, 1, -1, 0, 1, 1, -1, 1, -1, 1, -1, -1, 0, 0, 0, 0, -1, 1, 4, 0, -1, 1, 0, 2, 0, 0, 0, 1, -1, -1, 2, 1, 2, 0, 0, 1, 0, 0, 2, -1, 0, 4, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 1, -1, 1, 1, 1, 1, 0, 0, 1, -1, -1, 1, 4, 1, -1, -1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 1, -1, 1, 1, 1, 0, -1, 1, 1, 1, 4, 0, 0, 0, 1, -1, -2, 0, -2, 0, -1, 0, -1, -1, -1, 0, 0, -2, 0, 0, 0, -1, 0, 4, 0, 0, -1, 0, 0, 0, 0, -1, 1, -2, -1, -1, -1, 1, -2, -1, 1, 2, 0, -1, 0, 0, 4, 0, 0, -1, 1, 0, 0, -1, -1, 1, 2, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 1, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1, 4, 1, 0, 1, -1, -1, 1, 2, 0, 2, 0, -2, 1, 1, 1, 0, 0, -1, -1, 0, -1, 0, 1, 4, 0, 0, 1, -2, -1, -2, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -2, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 4, 0, 1, 1, 2, -1, 1, 0, 0, 0, 1, 1, -1, 0, 0, -2, 0, 0, 0, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 0, 0, -1, -1, -2, -2, 1, 1, 1, 1, -2, -1, -2, -1, 1, 1, 1, -1, -2, -2, 4, 1, -1, -1, 1, 1, 2, 0, -1, -1, -1, -1, 1, 1, 2, -1, 0, -1, -1, 1, 0, -1, 1, 4, -1, 0, -1, 2, 1, 1, -1, 1, 1, -1, 0, 0, 2, 0, 0, -2, 1, 0, 2, 0, -1, -1, 4, -1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, -2, 2, 0, 0, 0, 1, -1, 0, -1, 0, -1, 4, -1, 0, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 1, 0, 1, -1, 2, -1, 1, -1, 0, -1, 4, -1, 1, 1, 1, 0, -1, -1, 1, -1, -1, 1, -2, 1, -1, 1, -1, -1, 1, 2, 0, 0, -1, 4, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, -2, 1, 0, 2, -2, 2, 1, 0, 0, 1, 2, 4, 2, 0, -1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 1, -2, 0, 1, 1, 1, 1, 1, 2, 4, 1, 0, 0, 0, 1, 0, 1, 2, 0, -1, 0, 0, 1, 1, -1, -1, 1, 0, 1, 0, 0, 1, 4, 1, 1, 1, 0, 0, -2, 0, 1, 1, 1, -1, -2, 1, -1, 1, 0, -1, 0, 1, -1, 0, 1, 4, 2, -1, 0, 0, -1, 1, 0, 0, 2, -1, -1, 1, -1, 1, 0, 1, -1, 1, -1, 0, 1, 2, 4, 1, -1, 0, 0, 0, 1, -1, 2, -1, 0, 1, -1, -1, 1, 1, -1, 0, 0, 0, 1, -1, 1, 4, 0, -1, 0, -1, 1, -1, 1, 0, -1, -2, 1, 0, 1, -1, 1, 0, 0, 1, 0, 0, -1, 0, 4, 0, 1, 1, -1, -1, 0, 2, 0, -1, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 4, -1, 0, 1, 1, 0, -1, 0, -2, 2, 2, -2, 1, -1, 2, 1, 1, -2, -1, 0, 0, 1, -1, 6, 0, 0, -3, 0, 1, 3, -1, -1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, -1, 1, 0, 0, 4, -1, 0, 0, 1, 1, 1, 0, 0, 0, 1, -2, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, -1, 4, 0, 1, -1, -1, 1, -1, -2, 0, 0, 1, -2, -1, -1, 1, 0, -1, -1, -1, 1, -3, 0, 0, 4, -1, -1, -1, 1, -1, 1, 0, 1, -1, 1, -1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, -1, 4, 0, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, -1, -1, -1, 0, 2, -1, 1, 1, -1, -1, 0, 4, 0, -2, 0, 2, -1, 2, -1, 2, 1, 1, -2, -1, 0, -1, 0, 0, 3, 1, -1, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 2, 2, -1, -1, -2, 0, -1, 2, 0, -2, -1, -1, 1, 1, -1, 2, -1, 0, 1, 4, 0, 0, 1, 1, 0, 1, 0, 1, -1, -1, 0, -1, -2, -2, 1, -1, -1, 2, -1, 1, 2, 0, 4, -2, 2, 2, -1, 0, -1, 1, 0, 1, 0, -1, 1, 1, 1, 2, 1, 0, 0, 1, -2, 0, -2, 4, 0, -2, 2, 1, 0, -1, 1, -2, 1, 2, 1, -1, 0, 0, 0, -1, 0, 0, 2, 1, 2, 0, 4, 2, 0, 1, -2, 1, -1, 1, 0, -1, 0, -1, 1, 2, -1, 1, 0, 0, 2, 1, 2, -2, 2, 4, -1, 0, -1, 2, -2, 1, -1, -1, 0, 0, 1, 1, -1, 1, 0, 0, -1, 0, -1, 2, 0, -1, 4, 2, 0, -2, 2, -1, 2, 1, 2, -2, 0, 0, 0, 1, 0, 0, -1, 1, 0, 1, 1, 0, 2, 4, 1, 0, 1, 0, 1, 0, 1, -2, 1, 1, -1, 0, 1, 1, -2, 0, -1, 0, -2, -1, 0, 1, 4, 1, 1, -1, 0, 1, -1, 0, -1, 0, 0, -1, 1, 1, 0, 1, 1, -1, 1, 2, -2, 0, 1, 4, -2, 0, -2, 0, -1, 1, 0, 0, -1, 0, 1, 1, -1, -1, 0, 1, -1, -2, 2, 1, 1, -2, 4, 0, 2, 1, 2, -1, -1, 0, 1, 0, 0, 0, 2, -1, 1, -2, 1, 1, -1, 0, -1, 0, 0, 4, 0, -2, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 1, 0, -1, 2, 1, 0, -2, 2, 0, 4, 1, 1, -1, 0, 0, 1, 1, -1, 0, -2, -1, -1, 2, -1, -1, 1, 0, 1, 0, 1, -2, 1, 4, 2, 0, 0, 0, 1, -1, 1, 0, -1, -2, 1, 1, 0, 0, 2, 1, -1, -1, 2, 0, 1, 2, 6, 0, 0, 0, 1, 0, 1, -1, -1, -2, 1, -1, -1, 0, -2, -2, 0, 1, -1, 0, -1, 0, 0, 6, -1, 1, 1, -1, -1, 1, 1, 1, 1, 0, 1, 1, 0, 1, -1, 0, -1, 0, 0, 0, 0, -1, 4, 2, 0, -1, 1, 0, 1, -1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 6, 0, -1, 1, 1, -1, -1, 1, 0, -1, -1, 0, -1, 0, -1, 1, -1, 1, 1, 1, 1, 0, 0, 4, -2, 0, 0, 2, 2, 0, -1, 1, 1, 1, 0, -1, 0, 0, 1, 1, -1, 0, -1, -1, -1, -2, 6, -1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, 1, 1, -1, 1, 1, 0, -1, 4, -1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -2, -1, -2, -1, 0, -2, -1, -1, -1, 1, 1, 2, 0, -1, 0, 0, 0, -2, 4, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, -1, 0, 0, -1, 1, -1, -1, 1, -1, 0, 1, 4, 2, -1, -1, 0, 1, 2, 0, 1, 2, -2, -2, 0, -1, 0, 2, 1, -2, 0, 0, 0, 1, 2, 4, 1, -2, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 2, -1, -2, -1, 1, 1, 1, -1, 1, 6, -3, -1, 0, 0, 1, 0, 0, 1, -2, 0, 2, -1, -1, -1, 1, 1, 0, -2, 0, -1, -2, -3, 6, 2, 1, -1, 1, 1, -1, 1, 1, -2, -1, -1, 0, 2, 0, 0, 1, -1, 1, 0, 0, -1, 2, 4, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 1, 1, -1, -1, 1, -2, 2, 1, 0, 0, 1, 0, 4, 2, 0, 2, 1, 0, 0, -2, -1, -2, 0, 1, 0, 0, 0, -1, 1, 2, 0, 0, -1, 0, 2, 4, 0, 1, 2, 0, 0, -1, -2, -1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, 0, -2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 4, 2, 0, -2, 0, -1, -2, 0, 1, 0, 0, 0, -1, 1, 2, 0, 0, -1, 0, 1, 2, 0, 2, 4, 0, -1, 0, -2, -1, 0, 2, 0, 0, 0, -1, 0, -2, -1, 1, 1, 1, 0, 0, 0, 0, 0, 4, 1, -1, 0, -1, -2, 0, 1, 0, 1, -1, -1, -2, -1, -2, 1, 1, 0, 0, 0, -2, -1, 1, 6, 0, -1, 1, -1, 1, 1, -1, 1, 1, 0, 0, 1, 0, -2, 0, -2, -1, -1, 0, 0, -1, 0, 4, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 1, 2, -1, -1, -1, -2, 0, -1, -2, 0, -1, 0, 4, 1, 0, -3, 0, 1, 0, 2, -1, 0, 0, -1, -1, 1, -2, -1, 0, -2, -1, -1, 1, 1, 1, 4, 1, -1, -1, 0, 0, 0, 1, 2, 2, -1, 0, 1, 0, 0, 1, 0, 0, -2, -1, 0, 0, 1, 4, 0, -2, 0, 0, -1, -1, 1, -1, -1, 2, 1, 1, 2, 1, 1, 2, 0, 1, -1, -3, -1, 0, 6, 0, -1, 2, 0, -1, -2, -2, 1, 0, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, -2, 0, 4, 1, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, 1, 0, 0, 0, -1, -1, 1, 0, 0, -1, 1, 4, -2, 0, -1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 1, -1, 1, -2, 0, -1, 1, 0, 1, 2, 1, 1, 1, 1, -1, 2, -1, 0, 2, 4, 1, -1, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 1, 2, 1, 4, -1, 2, -1, -1, -2, 1, -2, 0, 0, 1, 1, 1, -1, 1, 1, -2, 1, -1, 0, 1, -1, -1, 6, 2, 1, 3, 1, -2, 1, 3, -1, 1, 2, 2, 1, 1, 1, 0, 2, -2, -1, 1, -1, 2, 2, 6, -2, -1, 0, 0, -2, 3, 0, 2, 2, 2, 1, 0, -1, -1, 2, -2, 1, -1, 0, -1, 1, -2, 6, -1, 2, 1, 3, 1, -2, -2, -1, 0, -1, 2, 1, -1, -1, 0, -2, 1, 0, -1, 3, -1, -1, 6, 0, -3, 1, 1, -1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, -2, -1, -2, 1, 0, 2, 0, 4, -1, 1, 1, -1, 0, -1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 1, -2, 0, 1, -3, -1, 4, -1, -1, 0, 0, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 0, -2, 1, -2, 3, 1, 1, -1, 4, 1, -1, -2, 0, -1, 0, 0, 1, 0, 0, 1, -1, 1, -1, 0, 3, 3, 1, 1, 1, -1, 1, 6, -2, 0, 2, 1, 1, 2, 1, 0, 2, -1, -1, 0, -1, 0, -1, 0, -2, -1, -1, 0, -1, -2, 4, 1, 0, -1, -1, -2, -1, 1, 0, 1, 0, 1, 0, 1, 1, 2, -2, 0, 0, 0, -2, 0, 1, 4, 0, 1, 0, 0, 0, 1, 0, -1, 0, 2, 0, 1, 2, 2, -1, 1, -1, -1, 0, 2, 0, 0, 4, 0, 1, 0, 1, -1, 2, -1, 0, 1, 0, 1, 2, 2, 0, 0, -1, 1, -1, 1, -1, 1, 0, 4, 0, 1, 0, -1, 1, -2, 0, 1, 1, -1, 1, 1, -1, 1, 1, -1, 0, 1, -1, 0, 1, 0, 4, 0, -1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, -2, 0, 0, 1, 0, 4, 1, -1, 0, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 1, 0, -1, 1, 4, 0, 1, 0, -1, -1, -1, -2, 0, -1, -1, 0, 1, -1, 0, 0, 1, 1, -1, -1, 0, -1, 0, 4, -1, 1, 0, 2, 0, 1, 2, 2, -1, 1, -1, -1, 0, 2, 0, 0, 2, 1, 1, 0, 1, -1, 4, 0, 0, -1, 0, -1, -2, -2, 0, 0, 1, -1, 1, -1, 1, -1, -1, -2, 0, -1, 0, 1, 0, 4, 0, 0, 1, 0, -1, 1, -2, 0, 0, -1, -1, -1, 0, 0, 0, 0, 2, -1, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 2, 1, -2, -1, -1, 0, 1, -1, -1, -2, -1, 0, 2, 1, -2, -1, 0, -2, 4, -2, 1, -1, -2, -1, 2, 1, 1, 1, -1, 2, 1, 0, 0, -1, -2, 1, 0, 2, 1, 2, -2, 4, -1, 0, 2, 0, -2, -1, -1, -1, 0, -2, -1, -1, 0, -1, 2, 1, 0, -1, 0, 0, 1, -1, 4, -1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, -1, -1, 1, 1, 0, 2, 1, -1, 0, -1, 4, -1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, -1, -2, -1, 0, 2, -2, 2, 1, -1, 6, 2, -1, 1, -1, -2, -1, 0, 1, -2, 0, -2, 2, 0, 2, -1, 1, 1, -1, 0, 1, 0, 2, 4, -1, 1, 1, -1, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, 1, -2, 2, -2, 1, 0, -1, -1, 4, 2, 1, 0, 0, 3, 1, 2, 1, -1, -2, 0, 1, 0, 1, -1, 1, -1, 2, 0, 1, 1, 2, 4, 2, 0, 0, 3, 2, 1, 2, -2, -1, 0, 2, 0, 2, -1, 1, -1, 2, 0, -1, 1, 1, 2, 4, 0, 0, 1, 2, 1, 2, 0, -2, 0, 0, 0, 2, 0, 1, -1, 0, 1, -2, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 1, 0, 1, -2, 1, 0, 1, -1, 0, 0, 2, -1, -1, 0, 0, 0, 0, 4, 1, -1, 0, 0, 1, 0, 0, -2, -2, -1, -1, 2, -2, 2, 1, 0, 0, 3, 3, 1, 1, 1, 6, 1, 2, 1, -1, -2, 1, 1, 0, 2, -1, 1, -1, 2, 0, 1, 1, 1, 2, 2, 0, -1, 1, 4, 0, 2, -1, -1, -1, 1, 1, 2, -2, 0, -1, 1, 1, -2, 0, 2, 1, 1, 0, 0, 2, 0, 6, 1, 0, -2, 0, 2, -1, 1, -1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 4, 0, -1, -1, 1, 0, 2, 0, -1, -1, -1, 1, -2, 0, -1, -2, 0, 1, 1, -1, -1, 0, 0, 4, 0, -1, -2, 0, -1, 2, -2, 2, -1, 0, 2, 1, -2, -1, -2, 0, 0, -2, -1, -2, -1, 0, 4, 0, 0, 0, -1, 1, 1, 1, 1, -1, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, -1, 0, 4, -1, 0, 1, -2, 0, 0, 1, -2, 2, 1, 1, 2, 0, -2, -2, 1, 1, 2, 1, -2, 0, -1, 6, 1, 1, -1, 2, -1, 0, -1, -1, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, 0, 0, 0, 1, 4, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, -1, 2, 2, 1, 2, -1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, 1, -1, 2, -2, -1, -1, 2, -1, 2, 0, 2, 1, -1, -1, 0, 0, 4, -1, -1, 1, 2, 2, 1, 2, 0, -2, 2, -1, 2, 2, -2, -2, -1, -1, 2, 2, 2, 1, -1, 4, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, -1, 0, 0, 1, 0, 0, -1, -2, 1, 2, -1, 0, 4, -2, -1, 0, 0, -1, 0, -1, -1, 0, 2, -1, 3, 1, 2, 0, -1, -2, -2, -2, 1, 0, -2, 4, 2, 1, -1, 1, 0, 1, 1, 0, -1, 1, -3, -1, -2, 0, 1, 1, 1, -1, 2, 0, -1, 2, 4, 2, 1, 2, 0, -1, 2, 0, 1, 2, -3, -2, -1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 4, 0, 2, 0, -2, 1, -1, 2, 1, -2, -1, -1, 0, 1, 1, 1, 1, 1, 0, 0, -1, 1, 0, 4, 1, 1, 0, 1, -1, 1, 1, 0, 0, 1, 0, 1, 0, 2, -1, 2, 0, -1, 1, 2, 2, 1, 4, -1, -1, 2, 0, 1, 2, -3, 0, -2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, -1, 4, -1, -1, 0, 1, 0, 1, -1, 2, 0, -1, 0, 0, -2, -2, 1, -1, 1, -1, -2, 0, -1, -1, 6, 0, 1, -4, 0, 0, 2, -1, -1, 0, -2, -1, -1, 2, -1, -1, 1, 2, 1, 1, 2, -1, 0, 4, -1, 0, 2, -2, -1, -1, -1, 2, 1, 1, -1, -1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 4, -1, 1, 0, 1, 0, 0, -1, 1, 0, 2, 2, -1, 2, -1, 1, 2, 1, 1, 1, -4, 0, -1, 6, 1, 0, -2, 1, 1, 0, 2, 0, -1, 2, 0, -1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 4, -2, -1, -1, -1, 1, 2, 2, 2, -2, 0, 3, -3, -3, -2, 0, -3, 1, 0, -2, 0, 0, -2, 6, 2, 3, -1, -2, -3, -2, 0, -2, 1, 1, -1, -2, -1, 0, 0, -1, 2, -1, 1, -2, -1, 2, 4, 0, 0, -1, -2, 0, 2, -1, 0, 2, -2, -1, -1, 1, -2, 2, -1, -1, 0, 1, -1, 3, 0, 4, 0, -1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, 0, 4, -1, 1, 1, -1, 2, -1, -1, 1, 2, 1, 1, 2, -1, 0, 2, -1, 0, 1, -2, -1, -1, -1, 4, 2, 1, -1, 2, -2, -2, 1, 2, 1, 0, 2, 0, -2, 1, 1, 2, 2, -3, -2, -1, 1, 2, 6, 1, 0, 2, 1, -2, 1, 2, 1, 2, 2, 0, -1, 1, 0, 0, 2, -2, 0, -1, 1, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 0, 0, -2, -1, 2, 0, -1, -2, -1, 0, -1, 1, 1, 2, -1, 1, 1, -1, -1, 1, 4, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, -2, -1, 0, -1, 0, -1, 0, -1, 1, 2, 2, 6, 2, 2, -1, 1, 2, -1, -2, -1, -2, 2, -3, 0, 0, 1, -1, -1, 1, -2, -2, 0, 0, 2, 4, 1, 0, 0, -1, 0, -1, 0, -1, 0, -2, 1, 1, 0, -1, -1, 1, 0, 0, 0, 1, 2, 1, 4, 1, 2, 1, -1, -1, 1, -1, 1, -2, 0, -1, 0, 1, -2, -1, -2, -1, -2, 0, -1, 0, 1, 4, 2, 0, -1, 0, 2, 1, 1, -1, 0, 0, -2, 0, -1, 0, 1, 1, -1, 0, 1, 0, 2, 2, 4, 0, -2, 0, 1, -1, 2, -2, 0, 0, -1, 0, -2, 0, -1, -1, 2, 1, 2, -1, 1, 0, 0, 4, -1, -1, 0, -1, 1, -1, 0, 0, 1, 0, 1, 0, -1, -1, 0, 0, -1, 0, -1, -1, -2, -1, 4, -1, 0, 0, -2, 1, 1, 1, -1, 0, 1, 0, 1, 1, -1, 0, -2, -1, -1, 0, 0, -1, -1, 4, 1, 2, 0, 2, 0, 0, 0, 1, 0, -1, 1, 1, -2, 0, -1, 0, 1, 2, 1, 0, 0, 1, 4, 0, 0, 1, 0, 0, -2, 0, -1, 0, 1, 1, -1, 0, -2, -1, -1, 1, -1, -1, 0, 2, 0, 4, -1, 1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, -2, 0, 0, -1, 4, -1, -1, -1, 0, -1, 0, 1, -1, -1, -1, -2, -3, -2, -2, -1, -2, -1, 1, 2, 1, 1, -1, 6, 0, -1, 0, 1, 2, -1, 2, 0, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 4, 2, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 2, 4, 0, -1, 0, 1, 1, 1, 2, -1, 1, 0, 0, -2, -1, 1, -1, 0, -2, 0, 0, 0, 0, 0, 4, 0, 1, 0, -1, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, -1, 0, 4, 0, -2, 0, 0, 1, -1, -1, -1, -2, -1, -2, 1, 1, 0, -1, 0, 0, 2, 0, 0, 1, 0, 4, 0, 1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 1, -1, 0, 1, 0, -2, 0, 4, 1, 0, -1, -1, -2, 0, -2, 1, -1, -1, 1, 1, 1, 1, -1, 2, 1, 1, -1, 0, 1, 1, 4, 1, -1, 1, -2, 0, -1, 1, -1, -1, 1, 1, 1, 1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, -1, 1, 1, -1, -2, -1, -1, 1, 2, 2, 1, 1, -1, 1, -1, 1, 0, 4, -1, -1, 1, 2, 1, -1, 1, -1, 2, -1, -2, 0, -1, 0, 1, 2, -1, -1, -1, 2, 1, -1, 4, 0, 0, 0, 1, -1, 1, -1, -1, -1, 1, 2, 2, 2, 0, 0, 1, 0, 0, -2, 2, -1, 0, 4, -2, -1, 0, 2, 0, 1, -2, 0, -1, -1, 2, 1, 1, 1, 0, 1, -1, 1, -2, 1, 0, -2, 4, 2, 2, -2, -1, 1, 2, 1, 1, 0, 0, 0, -1, 1, 0, -1, 1, -1, -1, 2, 0, -1, 2, 4, 1, -1, 1, -1, 1, -1, -1, 0, 0, 0, 1, 2, 0, -2, -1, 1, -1, 1, 1, 0, 2, 1, 4, -2, -1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, -1, -1, 2, -2, -1, -2, 4, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1, 1, 0, -1, 1, -1, 1, 4, -1, 0, -1, -1, 1, 1, 0, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1, 1, -1, 1, 0, -1, 4, 0, 1, 0, -1, 1, -1, -1, 0, 0, 1, 1, -1, -2, 2, -1, -2, 2, 1, 1, -1, 0, 0, 4, 0, 0, -1, -1, -1, 0, 0, 0, -1, 0, 1, -1, -1, -1, 0, 1, -1, 0, 1, -1, 1, 0, 4, 2, 0, -1, 0, -2, -1, -1, 1, 2, -1, -1, -2, 1, -1, 1, -1, 0, 0, -1, 0, 0, 2, 4, 1, 0, 0, -2, -2, 0, 0, 2, -2, 1, 0, 2, -1, 0, 0, 0, -1, 1, -1, -1, 0, 1, 4, 1, 1, -1, 0, -1, 0, 1, -2, 2, -1, 2, 2, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, 6, 1, 1, 1, -1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1, 4, 0, 1, 0, 0, 0, -1, 1, 1, 0, 1, -1, 1, 0, 0, 0, -1, 0, -2, -2, -1, 1, 0, 4, 1, 1, -1, -2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, -1, -2, 0, 1, 1, 1, 6, 0, 0, -2, 1, -1, -1, 1, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, -1, 0, 1, 0, 4, -1, -1, -1, 1, -1, 0, 1, -1, -2, 0, 0, 0, 1, -1, 1, 0, 0, 1, 0, -1, 0, -1, 4, 1, 0, -1, -1, 0, -1, 1, -1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, -2, -2, -1, 1, 4, -2, 1, 2, -2, 1, -1, 1, 0, 1, 1, -1, 1, -1, -2, -2, 0, -1, 2, 1, -1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 1, -1, 0, 0, -1, 1, 0, -1, 0, 2, 2, 0, 1, -1, 1, -2, 4, -2, 2, 1, -1, 1, -1, 1, 0, 0, 0, -2, 0, 0, -1, -1, -2, 0, -1, 1, 0, 2, -2, 4, -2, -1, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, 1, 1, 2, -1, 0, 0, 1, -2, 2, -2, 4, 1, 0, 2, -1, 1, 0, -1, 1, 0, -1, 1, -1, -2, -2, 1, -1, 0, 0, 0, 1, -1, 1, 4, -1, 2, 1, 2, 1, -1, -1, 1, -1, -1, -2, 1, -1, 1, 1, 1, 1, 1, -1, 0, 0, -1, 4, 0, 0, 0, 1, -1, -1, 2, -1, -1, 0, 0, 0, 1, 0, -1, 1, -1, 1, -1, 2, 2, 0, 4, 1, 2, 0, -2, -1, 0, -2, -1, -2, -1, -1, 2, 1, 0, 0, 1, -1, 0, -1, 1, 0, 1, 4, 1, 1, -1, -1, 1, -1, -1, 0, 1, 1, 1, 1, 0, -1, -1, 1, -1, 1, 2, 0, 2, 1, 4, 0, -2, 0, 1, 0, -1, -2, 1, -2, 0, 1, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 4, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, -2, -1, -2, -1, 4, 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, -1, -1, 0, 0, 1, -1, -1, -1, -1, 0, 0, 0, 4, 0, 1, 1, 0, 0, 0, -2, -1, -1, 0, 1, -2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 6, 0, -2, -1, 2, 1, 1, 1, -1, 0, 0, 0, 1, -1, -1, -1, -2, -1, 0, -2, 1, 1, 0, 4, 0, 1, 1, 0, -2, -1, 1, 0, -1, 0, 0, 1, -1, -1, -1, -1, -1, 0, 0, 1, -2, 0, 4, 1, -2, -1, 0, -1, 0, 0, 0, -1, 1, -1, -2, 0, -2, 0, -2, 0, 1, 0, -1, 1, 1, 4, 0, 1, -1, -1, 1, 0, 2, -1, 1, -2, 1, 0, -1, 1, 1, 0, 0, 0, 2, 1, -2, 0, 4, 1, -1, 1, 0, 1, 2, -2, 2, -2, -1, 0, -1, 1, -2, 0, 1, 0, 1, 0, -1, 1, 1, 4, 0, 1, 0, 0, 0, 0, -1, 1, 1, 1, 2, 1, 0, 0, -1, -2, 1, -2, 0, -1, -1, 0, 4, 0, 0, 0, 1, -1, 0, -1, 1, 0, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 0, 4, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, 0, 4, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 2, 1, -1, 2, 0, 2, 0, -2, -1, 1, 1, -1, -2, -2, -2, 1, -1, 1, 4, 0, -2, 0, 0, -1, 1, 2, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 0, 1, 1, -1, 0, 4, 2, -2, -1, 0, 2, -2, -1, 1, -1, 0, 0, 0, 0, -1, 2, -1, -1, 1, 0, -2, -2, 2, 6, 0, 0, 2, 0, -2, 0, 2, -2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, -2, 0, 4, 2, 2, -2, 1, 0, 1, 1, 1, 1, 0, 1, 0, -1, 0, 0, 0, 1, 2, 0, -1, 0, 2, 4, 1, -1, 2, 0, 2, -1, -1, -1, 0, 2, 0, -2, 0, 0, 0, -1, 1, -1, 0, 2, 2, 1, 4, -2, 0, 0, 3, 0, 0, 1, 0, 2, 0, -1, -1, 0, 0, 1, -1, 1, 2, 0, -2, -1, -2, 4, -1, -1, -2, -1, 0, -1, 0, -1, -1, 2, 0, -1, 1, 0, 2, 2, -2, -2, 1, 2, 0, -1, 6, 0, 1, 1, -1, 0, -2, 0, 1, -2, 2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 4, 0, 1, 0, -1, 0, 0, 1, -1, 0, 1, -1, 0, 2, -1, 1, 2, 1, 2, 3, -2, 1, 0, 6, 0, 0, 1, 0, 3, 0, -2, -1, 0, 0, -1, 0, 1, -1, -2, 1, -1, 0, -1, 1, 1, 0, 4, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -2, -1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 1, 4, 2, 0, 0, 0, 2, 1, 0, 0, 0, -1, -1, 0, 1, 1, -1, 1, -1, 0, -1, 1, 1, 2, 4, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, -1, 4, 1, 0, 0, -1, -1, 1, -1, 1, -1, 0, 2, 1, 2, 2, -1, 0, 0, 3, -1, 0, 0, 1, 4, 1, -2, 0, 1, 0, 0, -1, -1, -1, 2, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, 4, -1, 2, 2, 0, 1, -2, -1, 2, 0, -1, -2, -1, 2, -2, -1, -2, 0, 2, 0, 0, -2, -1, 6, -1, -2, 1, 0, -2, 1, -1, 1, 0, 0, -1, 0, 2, 0, -1, 0, 1, 0, -1, 0, 2, -1, 6, 3, 0, 1, -2, 0, -1, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 1, 2, -2, 3, 6, -1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 4, 0, -1, 1, 0, 1, 1, -1, 1, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -2, -1, 1, -1, -1, 0, 1, -2, -1, 0, 0, 1, -1, 0, 0, 1, -2, 0, 2, -1, 4, 1, 0, -1, -2, 2, -1, -1, 1, -1, 2, 1, 1, -1, -1, -1, 1, 1, 2, -1, -2, 0, 1, 4, 1, -2, 1, 2, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 2, -1, 2, 0, -1, -2, 0, 1, 4, 1, -1, 1, 0, 0, 0, 2, 1, 0, 0, -1, 0, 1, 1, -2, 2, 0, -2, -1, -1, -2, 1, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 1, -2, 1, -1, 0, 4, 0, 0, 0, 0, -1, -3, 0, -1, 2, 1, 1, 1, -1, -1, 1, 2, -1, 2, 2, 1, 0, 0, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 4, 0, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 4, -1, 0, 0, -2, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, -2, -1, 4, -1, 1, 0, -1, -1, 0, -1, 1, 1, 0, 1, 1, -2, -1, -1, 2, 2, -1, -1, 1, 0, -1, 6, 2, -1, 1, 0, -1, 2, -1, -1, -1, -1, -2, -1, 2, -1, 1, 0, -3, 0, 0, 0, 1, 2, 6, -1, 2, -3, -2, 0, 0, 1, 2, -2, -1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 4, -1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, -1, 1, 2, -1, 4, -1, -2, 1, 0, 0, 1, -2, -1, 1, -1, 1, -1, 0, 2, 0, 0, -1, -1, 0, -3, 1, -1, 4, 0, 1, 0, 0, -2, 1, 0, -1, -1, -1, 0, 1, 1, 0, 0, -1, 0, -1, -2, 0, -2, 0, 4, -1, 0, 0, 0, 2, 1, 0, -1, 1, 1, 1, 1, 0, -1, 1, -1, 2, 0, -1, 1, 1, -1, 4, 1, -1, 0, -1, -1, 0, 1, 2, 1, 0, 1, 1, -1, -1, 1, -1, 0, 1, 0, 0, 0, 1, 4, 0, 2, 0, 0, 1, 1, -1, -2, 0, -1, -1, 0, -1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 4, -1, 0, 1, -2, 2, 2, 2, -1, -1, 2, 0, 1, 0, -1, 2, -1, 1, -2, 0, 0, 2, -1, 6, 0, -2, 0, -1, 0, 0, 0, 1, 0, 0, -1, 1, -1, -2, 0, -2, 1, 2, -1, 0, 0, 0, 4, 1, 2, -2, -1, -2, 0, 2, -1, 1, -1, 1, -2, -1, 0, -1, 0, 1, -1, 0, 1, -2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 0, 2, -1, -1, 2, -1, 2, 1, 0, 1, -2, -1, -1, 1, -1, 2, 0, 1, 1, 4, -1, 0, 1, 2, 0, -1, 0, -2, 2, 2, -1, 1, -2, -1, 1, 0, 0, -1, 1, 1, 2, -1, 4, 2, 0, 1, 0, -1, 2, 1, 1, 0, 0, 0, -1, -1, -1, 1, -1, 2, -1, 1, 2, 0, 2, 4, -1, 1, -1, -2, 2, 1, 2, 0, 1, 0, -1, -2, 0, 2, -2, 2, 0, 0, 0, 1, 0, -1, 4, -1, -1, -1, 1, -2, 1, 1, -1, 1, 1, 1, -1, -2, 2, -1, 1, 1, 2, 2, 1, 1, -1, 6, 1, -1, 1, 0, 0, 2, 1, 2, -4, -1, -1, 2, -1, -1, 0, 0, -1, 0, 0, -1, -1, 1, 4, 0, -1, 2, -2, 0, 1, 0, -2, 1, 1, 1, 0, -1, -1, 1, -1, -1, -1, -2, -1, -1, 0, 4, -1, -1, -2, -1, -1, -1, 1, 1, 0, -1, 0, 0, -1, -1, 2, 0, 2, 2, 1, 1, -1, -1, 4, -1, 2, 0, 1, 0, -1, 0, -2, 1, 0, 2, 0, 0, -1, -2, 1, 1, -2, 0, 2, -1, -1, 6, -2, 0, 2, -1, 1, 0, 1, 2, 0, -1, -1, -1, 2, 2, 1, 2, 1, 0, -2, -2, 2, -2, 6, 0, -1, 1, -1, -2, -1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, -1, 0, 0, 0, 4, -1, 0, -1, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 1, -1, 1, 1, -1, 1, 2, -1, -1, 4, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, -1, 0, -1, 1, 0, 0, 4, -2, 0, -1, 0, 0, -1, 1, 1, -2, -2, -1, -1, 1, -4, -2, 1, -1, 1, -1, -1, 0, -2, 6, 0, 0, -2, 2, 0, 0, -1, -1, -1, -1, -2, 1, -1, 1, 1, 0, 0, -2, 0, 0, 0, 0, 4, 0, -1, 1, -1, 0, 0, -1, 1, -1, 0, -1, -1, 1, 0, -2, 1, -1, 0, 0, -1, 0, 0, 4, 0, -1, 0, 1, 1, 1, 0, 1, 2, -2, 2, 1, -1, 1, 2, 1, 0, 2, 0, -2, -1, 0, 4, -1, 1, 0, 0, -1, 0, -1, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, -1, 4, -2, 0, 0, 2, -1, 2, 2, -1, -1, -1, 0, 2, -1, 1, -2, 1, -1, 0, -1, 0, 1, -2, 6, 1, 1, 0, 1, -1, 0, 1, 0, -1, -1, 0, -1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 4, 0, 1, 1, 1, 0, 1, 0, 1, -1, 0, -1, 1, 0, 0, 1, -1, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 1, 1, -1, -2, 1, 0, 1, -1, 0, -1, 2, 0, 0, 0, 1, -2, -2, -1, 2, 4, -2, -1, -1, 0, -1, -2, 2, 1, 0, 1, -1, -1, 1, -1, -1, 0, 1, -2, -2, -1, -2, -2, 4, 1, 1, -1, 2, 2, 0, 0, 0, 0, -1, 0, -2, 1, 0, 0, 0, 2, 0, 2, -2, -1, 1, 6, -3, -2, -1, 1, 0, 2, -2, 0, 2, 1, -1, 2, 2, 1, -2, 1, 2, 2, 1, -1, 1, -3, 6, 1, 2, 1, 0, -1, 1, 0, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 0, -1, -2, 1, 4, 1, -1, 1, -2, 0, -1, -1, 1, 2, -1, 0, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 1, 4, 1, 0, 0, 0, 0, -2, 0, -1, -1, 0, 0, 0, 1, 0, 1, -2, -2, 2, 1, 1, -1, 1, 4, -2, 1, 0, 0, 0, 0, -2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, -2, 4, 0, -1, 1, -1, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 1, 0, 2, -1, -2, 0, 1, 0, 4, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -1, -1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 4, -1, 1, 0, -1, -1, 0, 0, 0, 1, -1, 0, -1, -1, 2, -1, -1, -2, 0, -1, 1, 0, -1, 4, 0, 0, 1, 1, 0, -1, 0, 2, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 4, 0, 0, 1, 1, -1, 1, 1, 0, 2, 1, -2, -1, -1, 2, -1, -2, 1, -1, 1, 0, 0, 0, 4, 0, 0, -1, -1, -2, -1, -1, 0, -1, 1, 2, -1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 0, 4, 0, 1, 0, 0, -1, 1, 0, -1, 0, 2, -1, 0, 0, 0, -1, 0, 0, -1, 1, 1, 0, 0, 4, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 4, 1, 1, 0, 1, 1, 1, 0, -2, 1, -1, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 1, 4, 0, -1, 0, -2, -2, 2, 1, 1, -1, 1, 2, -1, 0, 0, 0, 0, 1, -2, 0, 1, 1, 0, 4, 2, 1, -2, -2, 0, 2, -1, -1, 0, 0, -1, 0, -1, 1, 2, 1, -1, -1, 2, 0, -1, 2, 6, 0, -1, -1, 2, 2, -1, -1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 1, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, -1, -1, -1, 1, 1, -1, 1, 0, 0, -1, -2, 0, 1, 2, 0, 0, 4, -1, -1, 1, 2, 1, 1, 1, 1, -1, 1, -1, 0, 1, -1, -1, 1, 1, 2, -1, 0, 1, -1, 4, 0, 0, 0, 0, 1, 1, 1, 0, 1, -1, -1, -2, 1, -1, -2, -2, 0, 2, -1, 2, -1, 0, 4, -2, -1, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -2, 1, 0, -2, 4, 2, -1, 2, 2, 0, -1, -1, 1, 0, 0, 0, 1, 1, 0, 1, -1, 1, -1, 2, 0, -1, 2, 4, 1, 1, 1, 0, -2, 1, -1, 0, 0, 0, -1, 2, 0, 2, -2, -1, 1, 1, 0, 0, -1, 1, 4, 1, 0, -1, 0, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -2, 2, 1, 1, 4, 2, 1, -1, 0, 0, -1, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1, 1, 0, 2, 1, 0, 2, 4, 1, -1, 0, 1, -1, -1, 1, 0, 1, -1, 1, -1, -1, -1, 1, 1, -1, 0, 0, -1, 1, 1, 4, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, -2, 0, -1, -1, 0, 4, 0, 0, 0, -1, -1, 0, -2, -1, -1, 2, 1, 1, 1, 1, 0, -1, 1, 1, 0, 0, 0, 0, 4, -1, 0, 0, 0, -2, 0, -1, 1, 0, -1, -1, -1, -1, 0, 1, -1, -1, 0, 1, -1, 0, -1, 4, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, -1, -1, -1, 0, 0, 0, 1, 4, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, -2, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 1, 4, 0, 1, 1, 2, 1, -1, 1, 0, -1, 1, 1, 0, 0, -1, 0, 1, 1, -1, 0, 1, 1, 0, 4, 1, 1, -1, 0, 0, 0, -1, -1, -1, 0, 1, -1, -1, 0, 0, 0, 0, -2, 1, 0, 1, 1, 4, 1, 0, -1, -1, 1, -2, 1, -2, 0, 1, 2, 1, 0, 1, 0, -2, 0, 0, 0, 1, 1, 1, 6, 1, 1, -4, 0, 0, 1, -2, 0, 0, 0, -1, -1, -1, 0, -1, -1, 0, 1, 2, -1, 0, 1, 4, 0, -1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, -1, 1, 0, 0, 1, 0, -1, 1, 0, 6, 0, 0, 2, -1, 2, 0, -1, -2, -1, 0, -1, 0, 2, 0, 0, 0, -1, 0, -1, -4, -1, 0, 6, 0, 0, 0, -1, -1, 1, -1, -1, 0, -1, 0, 1, -1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -2, 1, 1, 0, 2, -2, -1, 0, 1, 1, 0, -1, 0, -1, -1, 2, 1, 0, -1, 4, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, -2, -2, -1, 2, -1, 0, 2, -2, 0, 1, -2, 0, 4, -2, 0, -1, -1, -1, 0, 1, 0, -1, 1, 1, 1, -1, -1, 1, 0, -2, -1, -1, 2, 0, -2, 4, -2, 1, 2, 1, 0, -2, 0, 0, 0, 0, -1, 1, 1, -1, 0, 2, 1, 1, -2, 0, 0, -2, 4, 0, -1, 1, -2, 2, 0, 1, -1, -1, 0, 0, 1, 1, 0, -1, -1, -1, 1, 1, -1, 1, 0, 4, -1, 2, 0, -2, 0, -1, -1, -2, -2, -1, 1, -1, 0, 1, 1, 1, 1, 0, -1, 2, -1, -1, 4, -1, 0, -1, 0, 0, 0, 0, 1, 2, -1, 1, 0, 1, -1, -1, 0, 0, -1, 1, 1, 2, -1, 4, -2, -1, -1, 0, -1, 0, -1, -1, 1, 0, -1, 0, 0, 1, 2, 0, 0, 0, -2, 0, 0, -2, 4, -1, 0, -1, 1, 0, 0, -1, -1, -1, 0, 0, 1, 0, -2, 0, 1, -2, 2, -2, -1, -1, -1, 4, 1, 1, 0, 1, 1, 0, 0, 1, 1, -2, -1, 0, -1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 4, -1, -1, -2, -1, 2, 0, -1, 1, 0, 1, 1, 0, -1, -1, 0, 1, -1, 0, 0, -1, 1, -1, 4, -1, 2, 1, 1, 1, 1, -1, 1, -1, -1, 1, -2, 1, 0, -1, -1, 0, -1, 1, 0, -1, -1, 4, 2, 1, -2, 0, -1, -1, 1, 1, 0, 1, -2, 1, 0, -1, -2, 0, 0, 0, 1, -2, 2, 2, 6, 3, -2, 0, 1, -2, 0, -1, 0, 0, -1, 1, -1, 0, -2, 1, -1, 0, 1, -1, 1, 1, 3, 4, 0, -1, 1, -1, -1, -1, -1, -1, 2, -1, 1, 0, -1, 2, -1, -1, 0, 2, 1, -2, -2, 0, 6, 0, 1, 1, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, -1, 0, 0, 1, 0, 0, -1, 0, 4, -1, 0, 2, 1, 1, -1, 0, 1, -1, 1, -1, 1, 0, -1, 1, -1, 1, -1, 1, 1, 1, -1, 4, 0, -1, -2, -1, -1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, -1, -2, -1, 1, 0, 0, 4, -2, 0, 1, 2, -2, -2, 2, -1, 1, 1, 0, 0, -2, 0, 1, 1, 0, -1, 0, 2, -1, -2, 6, 2, 0, 1, 0, -1, 1, -1, 1, -1, 0, 1, -1, 1, -1, 1, -1, -1, 0, 1, -2, 0, 2, 4, 1, 0, 1, -1, 1, -1, 1, -1, 1, 0, 0, 1, -1, 0, 0, -1, 0, 1, -1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 0, -2, -1, -2, 1, 0, 1, 1, 1, 0, -1, 0, 0, 0, 1, 0, -1, -1, -1, 6, 0, -3, 2, 3, 3, -1, 2, 2, -3, -2, -1, 0, -1, -2, -1, 2, -1, -2, 0, 0, -2, 0, 6, -3, 2, 1, -1, 1, -1, 1, 1, 1, 0, 2, 2, 1, -2, -1, 1, 1, 2, 2, 2, -3, -3, 6, -3, -2, -1, -1, 0, -1, 1, 0, 1, -1, 0, 0, 2, 0, -1, 0, -1, -1, 0, 2, 2, -3, 4, 0, 0, -1, 0, 2, -1, 0, -1, 1, 0, -1, -1, 0, 1, 0, 0, 0, -2, 3, 1, -2, 0, 4, 2, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, -1, 3, -1, -1, 0, 2, 4, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 2, -2, -2, -1, -1, -2, -1, 1, -1, -1, 0, 0, 4, -1, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, 0, 1, 1, 1, 2, -1, 0, 0, 0, 0, -1, 4, 0, 0, -1, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 2, 1, -1, 2, 0, 0, 0, 0, 4, -2, 0, 0, 0, -1, -2, -1, 0, -1, 0, 1, 1, 1, -3, 1, 1, -1, -2, -1, 0, 0, -2, 6, 1, 1, 2, 2, 1, 1, -2, 2, 2, -1, -1, 1, -2, 1, 0, 0, -1, -2, 0, -1, 0, 1, 4, 2, 1, 1, 1, 0, -1, 1, 1, 0, 1, 1, -1, 0, 1, -1, 0, 0, -1, -1, 0, 1, 2, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 4, 1, 1, 0, -1, 1, 1, -1, 1, -1, -1, 2, 0, 0, 0, 0, 0, -1, -1, 2, 1, 1, 1, 4, 1, 0, -1, 0, 0, 0, 0, 0, -2, 1, 0, -1, 0, 0, 1, -1, -2, 1, 1, 1, 1, 1, 4, 0, 0, 0, 0, 0, 1, 0, -1, -2, 2, -1, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 4, -1, 0, 1, -1, 0, 0, 2, -1, 0, 0, 1, 2, 0, 0, 0, -2, -1, 0, -1, -1, 0, -1, 4, -1, -2, 0, -1, 1, -1, 1, -1, 1, -1, -2, -1, 1, -1, 2, 1, 0, 1, 0, 0, 0, -1, 4, 1, 0, 0, 0, -2, 1, 0, 0, -1, -2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, -2, 1, 4, 1, 1, -1, 0, 2, -1, 0, 1, -1, 1, 0, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 4, 1, -1, 0, 2, -1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 1, 0, 1, 0, -1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 0, 0, 2, 1, -2, -1, -2, 0, -1, -1, 0, 0, 1, 1, -1, 0, 1, -1, 1, 1, 4, -1, 0, 0, 2, -1, -2, -1, -1, -1, -2, -1, 1, 0, 2, 1, -1, 0, 1, -1, 0, 0, -1, 4, 0, 0, 0, 2, 0, 2, 0, -1, 1, 2, -1, 1, -2, 1, 2, 1, -2, 1, -1, 0, 0, 0, 4, -2, 0, -1, 1, -1, 0, -2, 1, -2, 0, 1, 2, 2, 0, -2, 0, -1, 1, 0, 0, 0, -2, 4, -1, 0, -1, 2, 0, 2, -1, 2, 0, 0, -1, -2, 0, 2, 0, 0, 0, 2, 2, 0, 0, -1, 4, 0, -2, -1, -2, -1, 0, 0, 1, -1, 2, 1, 0, -1, 0, -1, 1, 1, -1, 2, -1, 0, 0, 4, 0, 0, -1, 0, 0, 2, 0, 0, -2, 0, 1, 1, -1, 0, 0, -2, -2, 0, 1, -1, -2, 0, 4, 0, 2, 0, 2, -1, -1, 1, 0, 0, 0, 0, 0, 1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 4, 1, 1, 0, 2, -1, 1, -1, -1, 1, 2, -1, 1, -1, -2, -1, 0, 0, 0, -2, -1, 2, 1, 4, 0, 1, 0, -1, 1, -1, -1, 1, 1, -1, 2, -1, 0, -1, -1, -2, 2, -1, 0, 0, 1, 0, 4, 0, 0, -1, 0, 0, -2, -1, 1, 1, 0, -1, -1, -2, 1, 1, -1, 0, 0, 2, 0, 1, 0, 4, 0, -1, 0, 0, 0, 1, -1, -1, 1, 0, -1, -1, 2, -2, 2, 0, 2, -1, 2, 0, 0, 0, 6, 0, -1, -3, -1, 3, 2, -3, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, -1, -1, -1, -1, 0, 4, 0, 0, -1, -1, -1, 0, 0, 2, 0, 0, 1, 1, 0, -1, 0, 1, 1, 1, 0, 0, -1, 0, 4, 1, 1, -1, 0, 0, 0, -1, 1, 2, -2, 2, -1, 2, -2, 0, -1, -1, 0, 0, -3, 0, 1, 6, 2, -2, -2, 2, -2, 1, 1, 1, 1, 2, -2, 1, 0, 0, -1, -1, -2, 0, -1, -1, 1, 2, 4, 0, -1, 0, -1, 0, -1, -1, 2, 0, 0, 0, 1, 0, 1, 1, -1, 1, 3, -1, -1, -2, 0, 4, 1, -2, 1, 0, 0, 0, 1, -2, 2, -1, 1, 0, 2, 1, 1, -1, 2, -1, 0, -2, -1, 1, 4, -1, 1, -1, 1, 1, -2, 0, 0, 0, -1, 0, -1, -1, 1, -1, -3, 0, 0, 2, 0, -2, -1, 4, 0, 0, -1, -1, 1, -1, 0, -1, 0, 1, 1, 2, 0, 1, 0, 0, 0, -2, -1, 1, 1, 0, 4, -1, 1, 0, -1, 1, 0, 1, 0, -1, -1, -1, -1, 0, 0, 2, -1, 1, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, -2, 2, 1, -2, 2, 1, -2, 0, 2, 1, 2, 2, -2, 1, -2, 1, -2, -2, 4, -1, 1, 2, 2, -2, -2, 2, 0, 1, 0, 1, -2, -2, -2, 0, 0, -1, 2, -2, 2, 0, -1, 4, -2, -2, 1, 1, 2, -2, -1, -1, 1, 0, 1, 1, 0, -2, 2, 1, -2, 1, 0, 0, 1, -2, 4, 2, -1, -1, 0, 2, 2, 2, -2, -1, 0, -2, 1, 1, -2, -2, 2, -1, 0, -1, 2, -2, 2, 4, 1, -1, -1, 1, 0, 2, 0, -1, -1, -1, -1, 0, 0, -2, 1, -1, 1, -2, 2, 1, -1, 1, 4, 0, -1, 0, -1, -1, 1, 0, -2, -1, -2, -1, 1, -1, 1, 0, 2, 2, -2, 1, -1, -1, 0, 4, 1, -3, 1, 0, -1, -1, 1, 0, 1, 0, 0, 1, -2, 2, -1, 1, -2, 2, 0, -1, -1, 1, 4, -2, 1, 1, -1, 0, 2, 0, 1, 0, 0, 0, -1, 1, -1, -2, 2, -2, 2, 1, 0, -3, -2, 6, -1, -1, 0, -1, -1, 0, -1, -1, 0, -1, 2, -2, 2, 2, 0, -1, 2, 0, -1, 1, 1, -1, 6, 1, -4, 2, 1, -3, 1, 4, -3, 0, 1, -1, -2, 1, 1, -1, 2, 2, -1, 0, 1, -1, 1, 6, -2, 1, 1, -1, 0, 2, -2, -1, 1, -1, 0, -2, 0, 1, -2, 0, 1, -1, -1, 0, -4, -2, 6, 0, -2, 3, 0, -3, 3, 1, -1, 0, 1, 0, 1, 0, -1, -1, 0, -1, 0, -1, 2, 1, 0, 6, 0, -1, -1, 3, -2, 2, 2, -2, -1, 2, -2, 1, 0, -1, -2, 1, 2, -1, 1, 1, -2, 0, 4, 1, 1, 0, 0, 1, -2, 1, -2, 1, -2, 1, -2, -1, -1, 0, 0, 0, -3, -1, 3, -1, 1, 6, 1, -2, 1, 1, -3, 1, 0, 2, -2, 0, 1, -1, -2, 1, 1, -1, 1, 0, 0, -1, 1, 1, 4, 1, -1, 0, -1, 1, -1, 2, 0, -2, 1, 0, -1, 0, 0, -1, 4, 2, -3, 3, 0, -2, 1, 6, -4, 0, 2, -1, -1, -2, 0, 2, -2, 0, 1, 0, 0, 0, -3, -2, 3, -2, 0, 1, -1, -4, 6, 1, -2, 1, 1, 1, -1, 1, -2, -2, -1, 1, 0, -1, 0, -1, 1, 2, 1, 1, 0, 0, 1, 4, -2, 0, -1, -2, 2, -2, 2, 1, 1, -2, -1, 2, 1, 1, -1, 2, -2, -3, -1, 2, -2, -2, 6, -1, 1, 1, -2, 1, -1, -1, 0, 2, 1, -2, -1, -1, 0, -2, 1, 1, 1, -1, 1, 0, -1, 4, -1, -2, 2, 0, 0, 1, 2, -1, -1, 2, -2, 0, 1, -1, -2, 0, -1, -1, 1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, -1, 2, -2, 1, -2, 1, -2, 0, -1, 2, 1, 0, -1, -2, 0, 0, -2, 4, 1, -1, 2, 1, -1, -1, 2, -1, 2, 0, 0, 1, 1, -1, 1, -1, 0, 0, 1, 1, 0, 1, 4, 1, 1, 2, -2, -1, 1, 1, 1, 1, 1, -1, -1, 0, 2, -2, -2, -1, 2, 2, 1, -1, 1, 4, -1, 1, -1, -1, -1, 2, 0, 1, 0, 0, -1, 2, 1, 1, 0, -2, -1, 1, -2, 2, 1, -1, 4, 2, 0, -2, 2, -1, 2, -1, 0, 0, 1, -2, -1, -2, -1, 2, 2, 1, -1, 1, 2, 1, 2, 4, 0, -1, 1, 1, 1, 1, 0, 0, -1, -1, 1, -1, -2, 1, 1, 2, -1, -1, -2, -1, 0, 0, 6, 2, 0, 0, -2, 0, 2, -1, 1, -2, -3, -1, -1, 2, 1, 0, 2, -1, -1, -1, -2, -1, 2, 6, -2, 1, -3, 1, -1, 1, 1, 1, 1, 1, 0, -1, -1, 0, -2, 2, 1, -1, 2, 1, 0, -2, 4, -2, 2, 0, 2, 0, 0, -2, 0, -2, 0, 2, 2, 1, 1, -1, 1, 2, -1, 1, 0, 1, -2, 4, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, 1, -2, 2, 1, 0, 2, 1, -2, -3, 2, -1, 4, 0, 1, 1, 0, -1, 1, -1, 0, 0, 1, 0, 1, 0, 1, 1, -1, 1, 0, 1, 0, 0, 0, 4, 1, 1, -2, 1, 2, -1, -1, -1, 1, 1, -2, 0, 1, 0, 0, 0, 2, -1, 2, -1, 1, 1, 6, -2, -1, -2, 0, -2, 0, 0, 2, 1, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, -2, 4, 1, 1, 1, 1, 1, 0, -1, 0, -1, 1, -1, -1, 1, -1, 1, 1, 0, 0, 0, -2, -1, 1, 4, -1, -1, 0, 1, 0, 0, -1, 2, -1, 0, 2, -2, -1, -2, 1, -2, 1, -1, 1, -2, 1, -1, 4, 1, 2, 1, -2, -2, 0, 1, 1, 2, 1, -1, 1, -3, 1, 0, 0, 1, 2, 0, 1, -1, 1, 6, 1, -1, -3, 0, 1, 0, -1, -2, 1, -2, -1, -1, 1, -2, 1, -1, -1, -2, 1, 0, 2, 1, 6, 3, 0, -4, -1, -1, 0, -2, 0, -1, -2, -1, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 3, 6, 0, -3, -1, -2, 0, -1, -2, 2, 1, 2, -1, 2, -1, 0, -1, 0, 0, 0, -2, -3, 0, 0, 6, 1, 0, 0, 1, 2, -1, 2, 1, 1, -1, 2, -1, 1, 1, 2, -1, 0, -2, 0, -4, -3, 1, 6, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, -1, 0, 1, -1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, 1, 1, 1, 2, 1, -1, -1, 0, 0, -1, -2, 2, -2, -1, 1, -1, -2, 2, -2, 4, 2, -2, 1, -1, 0, -1, 1, -1, 1, 1, -1, 1, 2, -2, 2, 1, -2, 0, 2, -2, -2, 2, 4, -1, 1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, 2, -2, 2, -2, -1, 4, -1, 0, 1, 2, -1, -1, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 1, 1, 1, -1, 4, 1, 1, 1, 0, 0, 1, 0, 0, -1, 1, 1, -1, 1, 0, -1, 1, 1, 1, -1, 0, 0, 1, 4, 1, 1, 0, 1, 0, -2, 2, -1, 1, 0, 0, 0, 0, -2, 1, 0, 1, 0, -1, 1, 1, 1, 4, 2, 0, -1, 0, 0, 0, 0, -1, -1, 1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 1, 1, 2, 4, 0, 0, -1, -1, 0, -1, -2, 1, -1, 0, 0, -1, -2, 0, 1, 1, -1, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, -1, 1, -1, 1, 0, 0, -1, 1, -1, -1, 0, -1, 0, 1, -1, 0, 0, 4, 1, -1, 1, -1, 1, 1, -1, 2, 1, 0, 1, 1, -1, 1, 0, -2, 1, 0, 0, -1, 0, 1, 4, 0, -1, 0, 1, -1, 1, 2, 1, -1, 1, 1, 0, 1, 0, 0, 0, -2, 0, -1, 0, -1, 0, 4, -2, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 1, -1, -2, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, -1, 1, -1, 0, 1, 0, 4, -1, -1, 0, 0, -1, 0, 0, 0, -2, 2, 2, -2, 1, 1, -1, -2, -1, 1, 1, 0, 1, -1, 6, -2, 1, 1, -1, -1, 4, -1, 2, -2, -2, 0, 1, 0, -1, 1, 1, 1, -1, 0, 1, -1, -2, 6, -3, 1, 2, 1, -2, 3, -2, 2, 2, 0, -1, 0, 1, -1, -1, -1, 1, 0, 0, 0, 1, -3, 6, -1, -2, 0, 1, -3, -1, 1, 0, -2, 1, 0, -1, 0, 1, 2, 2, 0, 0, 0, 1, 1, -1, 4, 1, 0, 1, 1, 1, -2, -2, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, -1, -1, 2, -2, 1, 4, 0, -1, 3, -1, 0, 0, 0, -1, -2, -1, -1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 4, 0, 0, -2, 2, 2, -2, 1, 1, -1, -2, -1, 1, 1, 0, 0, 0, 4, -2, 1, 1, -1, 0, 6, -1, 2, -2, -2, 0, 1, 0, -1, 0, 1, 1, 1, -1, 0, 0, -1, 3, -3, 1, 3, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 2, 1, -1, -1, -2, 1, -2, 2, 1, 0, -1, 0, 1, 0, -2, -1, 1, -2, 4, -2, 1, -1, -1, 0, 0, 1, 2, 0, 0, -2, -1, 1, 1, 1, -1, 0, 0, 0, 1, 2, -2, 4, -1, 0, 1, 0, -1, -1, -2, 0, 0, 2, 2, 0, -2, -1, 1, -1, -2, 0, 0, 0, 1, -1, 4, -1, 0, 1, 1, 2, 1, 1, 0, -1, 1, -1, 2, 2, 1, 1, 1, -1, 1, 1, -1, 0, -1, 4, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 2, -1, 1, 0, -1, 4, 1, -2, 0, -1, 0, -2, 2, 0, -1, 0, -1, 1, 0, -2, 0, 2, 1, 0, 0, 1, 1, 1, 4, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, -1, -2, 1, -1, 0, -1, 1, 1, -2, 0, 4, 1, 0, 1, 1, -1, 0, -1, 0, 1, 1, 1, 1, -1, -1, -1, 1, -1, 2, 0, 0, 1, 1, 4, 1, 0, 1, 0, 0, -2, 1, 0, 1, 2, 0, 0, 0, -2, 2, -2, 1, 0, -1, 0, 0, 1, 4, -1, 1, -1, -1, 0, 2, 1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, -1, 4, -1, 0, 0, 1, 0, 2, 0, 1, 0, -2, 1, -2, 0, 0, 0, 0, -2, 0, 1, 1, 1, -1, 4, 0, 1, -1, 0, 0, -1, 1, 1, 1, -1, 2, -2, 2, -1, 0, 2, 1, -1, 0, -1, 0, 0, 4, 0, -1, -1, -1, 0, 0, -3, 0, 0, 1, -1, 2, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 4, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1, -2, 0, 1, -1, -1, 0, 4, -1, 1, -1, -1, 0, -1, 0, -1, 1, -2, 2, 0, 0, 0, 0, 1, 2, 0, 0, -1, -1, -1, 4, 1, -1, 1, 2, 0, 1, 0, 1, -1, 2, 0, -1, 1, 1, 0, 1, 2, 0, -1, 0, 1, 1, 4, -1, 1, 1, -2, 1, 1, -1, 1, 1, 0, 1, 0, 1, 1, -1, 0, -1, 0, 1, -1, -1, -1, 4, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, -1, 1, 1, 0, 4, 0, -1, 1, -2, 0, -2, 1, 1, -2, -1, 1, 0, 1, 0, 1, -3, 0, 0, 2, 1, 0, 0, 6, 1, -1, -1, 0, 0, -1, -1, 0, -2, -1, 0, 0, -2, 1, 0, 0, -1, 0, -2, 0, -1, 1, 4, -1, 1, 1, 0, 1, -1, 2, 1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, -2, 2, -1, 0, 2, 2, -2, -1, 1, -1, 0, 2, 0, -2, -2, 0, 2, 1, -1, -1, 4, -1, 0, 0, 0, 0, 0, -1, 2, 2, 0, -1, 0, -1, 1, 2, 0, 1, 0, 1, 2, -1, -1, 4, 1, -1, 2, -1, 0, 1, 1, -2, -2, 2, -1, -2, 1, 1, 1, 1, -1, 0, 1, -2, 0, 1, 4, -2, 1, -1, -2, -1, 2, -1, -1, 1, 1, 0, -1, 2, 2, -1, -2, -1, -1, 2, 0, -1, -2, 4, -2, 1, 2, 0, -1, -1, 1, 0, 1, 1, 0, 0, -2, 1, 2, 0, -1, -1, 0, 2, 1, -2, 4, -2, -1, 0, 2, -1, -2, 0, -2, -2, 0, 0, 1, 1, -1, 0, 2, 0, 0, -1, -1, 1, -2, 4, 0, 0, -1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, -2, 2, -1, 0, 4, 2, -2, 0, 0, -1, -1, 0, 0, 0, -2, 0, 2, 0, 1, 2, -1, 1, -1, 0, 0, 0, 2, 4, -1, -1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 1, -2, 2, 1, 2, -1, 2, -1, -2, -1, 6, -1, -2, 0, 1, 0, 0, 2, 2, 1, -2, 0, 1, -1, 2, -2, -1, -1, -1, 2, 0, -1, -1, 6, 1, -1, -1, -1, 0, 1, 1, 0, -1, 0, 1, 1, 0, -2, -1, 1, -2, 1, 0, 0, -2, 1, 4, 0, 1, 2, 0, -1, 0, 0, 1, 0, -1, -1, -1, 2, 1, 0, 0, 1, -1, 0, 0, -1, 0, 4, 0, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, -1, 1, 1, -2, 1, -1, -1, 1, -1, 1, 0, 4, 2, -1, 0, 0, 0, 0, -1, -2, 2, -1, -2, 0, 1, -2, 1, 0, 1, 0, -1, 2, 0, 2, 6, 0, -2, 0, -2, 0, 0, -1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 4, 0, 0, 0, 0, 2, 2, -2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, -1, 1, 0, -2, 0, 6, 1, 1, -1, -1, 1, -2, 0, 1, 2, -2, 1, 0, -2, -1, 2, 1, 0, 1, 0, 0, 0, 1, 4, 0, -2, 0, 0, 0, 1, 1, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 1, 0, 4, 0, 0, 1, 2, 0, -1, -2, 2, -1, 0, 2, 1, -2, -1, 1, -1, 0, 0, 0, -1, -2, 0, 4, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 2, -1, 0, 0, 1, 4, 0, -1, 2, 1, -1, -1, 2, 0, 1, 1, 1, 1, -1, 0, -2, -1, 2, 1, 0, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, -2, -1, -1, 2, 1, -2, -1, 1, 2, -1, 0, -1, 0, -1, 0, 1, 1, -1, 6, 0, -3, -1, 1, -2, -2, 0, 0, 1, 2, 2, -3, 3, 1, 2, 1, 0, -1, 2, 2, -2, 0, 6, -3, -1, 1, 2, 3, -1, -2, 1, -1, -3, 0, 0, -2, 1, 2, 2, 1, 0, 0, 2, -3, -3, 6, 0, 0, 1, -1, 2, 1, 0, 0, 1, 3, -3, 0, -1, -2, -1, -1, -2, -2, 2, -1, -1, 0, 4, -2, 0, 0, 0, 0, -2, -2, -1, 0, -1, 0, 0, 0, -1, 0, 2, 1, -2, 1, 1, 0, -2, 4, 0, 1, -1, -1, 2, 1, -1, -1, 1, -1, 1, 0, 0, -1, -2, 0, -1, -2, 2, 1, 0, 0, 4, 1, -1, 0, 0, -1, -1, 1, -2, -1, 1, -1, 0, 0, -1, -2, -1, -2, 3, -1, 0, 1, 1, 4, -1, -2, 1, -1, -3, 0, 0, -1, 0, 1, 1, 1, -1, 0, 2, 0, -1, 2, 0, -1, -1, -1, 4, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, -1, 0, 0, 1, 0, -2, 1, 0, -1, 0, -2, 1, 4, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 1, 1, 0, -2, 2, 0, 1, 0, -1, 4, 1, -1, -1, 0, 1, 1, 0, 0, -1, -2, 0, -1, 2, -1, 0, -2, 1, -1, -1, 1, 1, 1, 4, 2, -2, 1, 1, 1, 0, 1, -1, -1, 0, 1, 2, -3, 1, -1, -1, -1, -3, 1, 1, -1, 2, 6, -1, 1, 2, 0, -1, 0, 0, 0, 0, 2, -3, 0, 3, 0, -1, 1, 0, 1, 0, -1, -2, -1, 6, -3, -1, -2, 0, -1, 1, -1, -2, -1, 3, 0, -3, -1, 1, -2, 0, 0, 0, 0, 1, 1, -3, 6, 0, 1, 1, 1, 0, 2, 2, 0, 1, -2, 0, 0, -1, -1, -1, 1, 0, 1, 1, 2, -1, 0, 4, 0, 0, 0, -1, -1, 0, -1, 2, 1, -1, 0, 1, 1, 0, 0, -1, 1, 1, 0, -2, 1, 0, 4, 0, 0, -2, 1, 0, 0, 1, 2, -2, 0, 0, -1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 4, 2, 1, 1, 1, -1, 0, 2, -1, -1, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 0, 2, 4, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, 1, -1, 0, -1, -1, 0, 1, 0, -1, -2, 1, 0, 4, 1, 0, 1, 2, 0, -2, 2, -2, -1, -1, 0, 0, -2, -1, 0, -1, 2, -1, 1, 1, 0, 1, 6, 1, 1, 2, 0, -2, 1, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -1, -1, -1, 1, 1, 1, 0, -1, 0, 1, 1, 1, -2, 1, 1, -2, -1, -1, 1, -1, 4, 0, -1, 2, -1, -2, 1, -1, -1, 2, 0, 1, 0, 1, 2, -2, -1, 1, 0, 1, -1, 1, 0, 4, 0, 1, -2, -1, 2, 2, 1, -1, 1, -1, -1, 1, -2, 1, 0, 0, -1, 0, 0, -1, -1, 0, 4, -1, 0, 1, 0, 1, -1, -1, 1, 0, 1, 1, -1, 0, -1, -1, 1, 1, 1, -1, 2, 1, -1, 4, -1, -2, 1, -1, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1, -1, 0, -2, -1, -1, -2, 0, -1, 4, 0, -1, 0, -1, 1, -1, 1, 0, 0, 1, 1, 1, 0, 0, -1, 1, 1, -2, -1, 1, -2, 0, 4, 0, 1, 1, -1, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 1, 1, 1, 2, 0, 1, -1, 0, 4, 2, 1, 1, 0, 1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 1, -1, 2, 1, -1, 0, 1, 2, 4, 1, -1, 1, 0, 0, 1, -1, 1, 1, -1, -1, -1, 1, 0, -1, 1, -1, 0, -1, 1, 1, 1, 4, -1, 0, -1, 0, -2, 0, 0, 1, 1, -1, -1, -1, -1, 2, -1, -1, 1, 1, -1, 1, -1, -1, 4, 0, 1, 0, 0, 2, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 0, 1, 0, 0, 4, -1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 1, -1, 4, 2, 1, 0, 0, 1, -1, -1, 0, 1, 1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 0, -1, 2, 4, 1, -1, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 0, 0, -1, 1, 1, -2, 0, 1, 1, 1, 4, -1, 0, -1, -1, 0, 1, 0, -2, 2, -2, -1, 1, 1, 0, -1, -1, 0, 2, 0, 0, -1, -1, 6, -2, 1, 1, 0, -1, 0, 1, -2, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, -2, 4, 0, 0, -1, 0, 1, 1, -1, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 4, -1, -1, -2, 1, -2, 1, 0, -1, 1, 0, -1, 0, -1, 1, 1, -1, -1, -1, -1, 1, 0, -1, 4, 0, 1, -1, -1, 0, -1, 1, -1, 0, 0, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, -1, 0, 4, 2, 0, -1, 1, 0, 1, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, -2, 1, 2, 4, -1, 1, -1, 0, 1, -2, 1, 1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, 0, -2, 1, -1, 1, 1, -2, -1, -1, 2, 1, 1, 2, 0, 2, 0, 0, 0, -2, 4, -1, -1, 1, 2, -1, 1, -1, 0, 2, 1, 1, -1, -1, 0, -1, -1, -2, 1, 1, 0, 1, -1, 4, -1, 0, 0, -1, 0, 1, 2, 0, 0, 0, 0, 2, 1, -1, 1, 1, -1, 1, 1, 2, -1, -1, 6, 2, -1, 0, 1, -1, -2, -1, 1, 1, 1, -1, 0, 1, 1, 3, -1, -1, -1, 0, 1, 0, 2, 4, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 1, -2, 2, 0, -1, 0, 4, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, -2, 1, -2, -1, 0, 0, 1, -1, -1, 0, 0, 0, 4, 0, 2, 0, -1, -2, -1, 2, 0, -1, 0, 1, -1, -1, -1, 1, -1, 1, 0, 1, 0, 2, 0, 4, 0, -1, 1, 2, 2, 0, 0, 0, -1, 2, -1, -2, 0, 0, 1, -1, 1, -1, 0, 0, 2, 0, 4, 2, -1, -2, 0, 1, 1, -1, 0, 1, -1, -1, -1, 1, 1, 0, 2, -2, -1, 1, 0, -1, 2, 6, 1, -1, 0, 0, 0, 2, -1, 0, -2, 0, 1, -1, -2, 2, 0, -1, 0, 2, -1, 1, -1, 1, 4, 2, 1, -2, 0, 0, -2, 0, -1, 0, 0, 0, -1, 1, 0, 1, 0, 1, -2, 2, -2, -1, 2, 4, 2, -1, 0, 0, -1, 0, 1, 0, 0, 0, -1, 1, 0, 1, 1, 1, -1, 2, 0, 0, 1, 2, 4, -1, -1, 0, -1, 0, -1, -1, 0, 0, 2, -1, 0, 1, 0, 0, 2, 0, 1, 0, -2, -1, -1, 4, 1, 0, 1, 0, 1, 0, 0, 1, 1, -1, 2, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 4, -1, 0, 0, 2, 0, -1, 2, 1, 0, 1, 0, -1, 0, -1, 0, -1, 2, 0, 0, 0, 0, -1, 4, 1, 0, -1, 0, 2, -1, 2, -1, -1, 1, 0, -2, 0, -1, 0, -1, -2, -1, -1, 1, 0, 1, 4, -1, 1, 1, 0, 0, 0, -1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 4, 0, -2, 0, 0, 2, -2, 1, 3, 1, -2, -1, -1, -1, -2, -1, 1, -1, 1, 2, -1, 1, 0, 6, 0, -1, 1, 0, 1, -1, -1, 0, -1, -1, -2, -1, 0, 0, 0, -1, 0, 0, 0, 1, -2, 0, 4, 1, 0, 0, 1, 1, -1, -1, 0, -1, 0, -1, 1, 0, 0, 0, 0, -1, 2, 0, 0, -1, 1, 4, -1, 0, 0, 1, -1, 1, 0, 1, 0, 1, -1, 0, 0, 0, 1, 2, -1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 2, -1, -1, -2, 1, -1, 0, -1, -2, 0, -2, -1, 2, 1, 0, 1, 1, -1, 2, 4, -1, -1, 1, 0, -1, -2, 1, -1, 1, 0, -1, 1, -2, 1, 1, 0, -1, 1, 1, 0, -2, -1, 6, -3, -1, 3, -1, 1, -1, 1, 1, 2, 1, 2, 1, 0, -1, -3, -1, -3, 1, 1, 1, -1, -3, 6, 2, -3, 2, 1, 2, -2, -2, -1, 1, -1, 1, 0, -1, 0, 2, 3, -2, -2, 2, 1, -1, 2, 4, 0, -1, 0, 1, -2, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 0, -2, -1, 0, 3, -3, 0, 4, -1, 1, -1, 1, 1, 1, 0, 1, 0, -1, 0, -1, -1, -2, 1, 1, -1, -1, -1, 2, -1, -1, 4, 1, 0, -1, -2, 0, 1, 0, 1, 0, -1, 1, 2, 0, -2, -1, -2, -2, 1, 1, 0, 1, 1, 4, -1, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, -1, -1, 0, 1, 1, -1, 2, 1, -1, 0, -1, 4, -2, 0, -1, -1, 0, 0, 1, 1, -2, 0, 3, -1, 0, -1, -1, 1, -2, -2, 1, -1, 0, -2, 4, 1, 1, 1, 0, 0, -1, -1, 0, -1, -1, 1, 2, 0, 1, 1, -2, 0, 1, -2, 0, 0, 1, 4, 0, -1, 1, -1, 0, 1, 0, -1, -1, 1, 1, -1, 0, 2, -1, 0, 1, 0, 0, -1, 1, 0, 4, 2, 0, -1, 0, -1, -2, -1, -1, 1, 0, -2, -1, 1, 1, -1, 0, 1, 2, -1, 1, -1, 2, 6, 1, 2, 1, -3, -1, -1, -1, -1, 1, 0, 1, 2, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 4, 1, 0, 0, -1, 0, -1, 0, 1, -2, -2, 1, 1, -1, 0, 1, 2, 0, 0, -1, -1, 2, 1, 4, 0, -2, -1, 1, 0, -2, 1, -1, 1, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 4, 0, -1, -1, 1, 0, 1, 2, 1, -1, -1, 1, 0, -1, -2, 1, -1, 1, -1, -3, 0, -2, 0, 4, 1, 0, 0, 1, 0, 1, 0, -3, 0, 0, -1, 1, 0, -2, 0, 0, -2, -1, -1, -1, -1, 1, 6, 1, -1, 0, -1, 0, -1, -1, 2, 0, -1, 2, 0, 0, -1, -1, -1, -1, 0, 1, -1, 0, 1, 4, 0, -1, -1, 1, 1, -3, 3, 1, -2, 0, -1, 3, -1, -1, -1, -1, -1, 0, 1, 0, -1, 0, 6, 0, 0, 1, 1, 1, -2, 0, 1, -2, -1, -1, 1, 1, 1, -1, 0, -2, 0, 1, 0, -1, 0, 4, 0, -1, 0, 1, -2, -2, 1, -1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 0, -2, 1, 0, 2, -1, -1, -2, 0, 1, 1, 1, -2, 1, -2, 1, 1, 4, -2, 0, 0, 0, 0, -2, -1, 0, 0, 1, 1, 0, 0, 1, -1, 0, -1, 2, -1, -1, -1, -2, 4, -1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 1, -2, 2, -1, 1, 0, -1, 4, -1, 1, 1, -1, 0, -1, 0, -2, 1, -1, -2, -1, 0, -1, 0, 0, -2, 1, 1, 0, 0, -1, 4, 2, -1, -1, 1, -1, 2, -1, -2, -1, 0, 2, 2, 0, -1, 0, -1, 0, 2, 0, 0, 1, 2, 4, 1, -2, 2, -2, 1, -2, -1, -2, 0, 1, 1, 0, -2, 0, -2, 0, 0, 0, 1, 1, -1, 1, 4, -2, 1, -2, -2, -1, 2, -1, 0, 0, -1, 0, 1, 0, 1, 0, -2, -2, 0, -1, -1, -2, -2, 6, -2, 2, 0, 0, -1, 1, -1, -2, 0, -1, 1, -1, 2, 0, 1, -1, 1, 0, 1, 2, 1, -2, 4, -1, 1, 0, -1, -1, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -2, -2, 2, -1, 4, 1, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, -1, 0, 2, 1, -2, 0, 1, 1, 4, -1, -2, -1, 0, 1, 1, 0, -1, 0, -1, 0, -1, 1, 0, -2, -1, -2, -1, 0, 0, 1, -1, 4, 0, 2, 1, 0, -1, 1, 0, 0, 1, 0, -1, 1, 0, 1, -2, -1, 2, -1, -1, 0, -2, 0, 4, 1, 0, 0, -2, 0, 1, 0, 0, 0, -2, 0, 0, -1, -1, -2, -1, 1, -1, 1, -1, 2, 1, 4, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, -1, 1, 0, 0, 1, 0, 1, 4, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, -1, 2, 1, 0, -2, 0, 0, 1, 0, 0, 0, 0, 4, 0, 1, 0, 1, -1, 0, 1, -1, 1, 0, 2, 1, -1, 0, 0, -1, 1, -1, -2, -1, 0, 0, 4, -1, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 1, 1, 1, -1, 4, 0, 1, 0, 1, -2, -1, 1, 0, -1, -2, 1, 1, -1, 0, -1, 0, 1, 1, -1, 0, -1, 0, 4, -1, 2, 0, 1, 2, -2, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 4, 0, 0, -2, -1, 2, -2, -1, -2, 1, 2, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 2, 0, 6, -2, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 1, 2, -1, 1, -1, 1, 1, 1, -1, -2, -2, -1, -1, -2, -2, -2, 1, 1, -1, 4, 0, -2, 0, 0, -1, 0, -1, 0, 1, 1, 2, 0, 2, 2, 0, -1, 0, 2, -1, -1, -2, 0, 4, 0, -1, -2, 0, -1, 0, -1, -1, -1, 0, 1, 2, 1, 0, 2, 1, 0, 1, -1, 2, -2, 0, 6, 2, 1, -2, 2, -2, 2, 1, 1, -2, 1, -3, -1, -2, 1, -2, -3, 3, -1, 1, 0, -1, 2, 4, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, -1, -1, 0, 2, -1, 2, 0, -2, 1, 0, 4, -2, 2, -1, 1, 2, 0, 0, 0, -2, 0, -1, -2, -2, 0, 0, 0, -1, -1, 0, -2, 0, -2, 4, -1, 2, -2, -2, -1, 0, 0, 1, -1, 1, 1, 1, 0, 0, 1, 1, 0, -1, 2, 0, 2, -1, 4, -2, 2, 1, 0, 0, 0, -1, 0, -2, -1, -1, 0, 0, 0, -1, -1, 0, -2, 0, -1, 2, -2, 4, -1, -2, -1, 0, 0, 1, -1, 1, 1, 1, 0, 0, 1, 1, 0, -1, 2, 0, 1, -2, 2, -1, 4, 1, 0, 0, 0, -1, 0, -2, -1, -1, 0, 0, 0, 1, 1, -1, 1, 0, 2, -2, 1, -2, 1, 4, 0, 0, 0, -1, 0, -1, -2, -1, 1, -1, 0, 1, 1, -1, 1, 2, 0, -1, 0, -1, 0, 0, 4, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 2, 0, -2, 1, 0, 0, 0, 0, 0, 0, 1, 4, 0, 2, 2, 0, -2, 1, 3, -1, 0, -2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, -1, 0, 0, 2, 0, 0, 1, -2, -2, 2, 2, -3, 0, -2, 1, -1, 1, -1, -1, 0, 2, -1, 6, 1, 1, -1, 1, 2, 0, 0, -1, 2, 1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 2, 0, 1, 4, 0, -1, 0, 2, -1, -1, -1, 0, 0, -2, 0, -1, 1, -2, 1, -2, -1, 0, 0, 0, 1, 0, 4, 1, 1, 0, 0, -1, -2, -1, 2, 1, -1, -2, 1, -1, 1, -1, -2, -1, -2, 2, -1, -1, 1, 6, 1, -2, 2, -1, -2, 0, 1, -2, -1, -2, 1, -1, 1, -1, -1, 0, 1, 0, 1, 0, 1, 1, 4, 1, -2, 1, -2, 2, 0, -3, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 2, 2, 0, -2, 1, 6, -2, 0, 1, -1, 1, 3, 2, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, -1, 0, 2, -2, -2, 6, -2, 1, -1, -1, -1, -1, 0, 1, 0, 1, 0, 0, 0, 0, -2, 0, -1, -1, -1, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 2, 1, 1, 1, 1, 1, 2, -1, -1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 4, 0, -1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, -2, 0, 4, 0, -2, 0, -1, -1, 0, 0, 0, 2, 0, 0, -1, -2, -1, 1, -2, 0, 0, 0, -2, -1, 0, 4, 0, 0, 0, -1, -1, -1, -2, 1, 1, 0, 1, 1, -1, 0, -1, -2, -1, 0, 2, 2, -2, 0, 4, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 4, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, -1, 0, 0, 0, -1, 1, 1, -1, 0, 2, 2, 4, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, -1, 1, 0, 0, 0, 1, 2, -1, -1, 1, 1, 2, 6, -1, -1, 1, 0, 0, -1, -1, 1, 3, 0, 0, 1, 0, -1, 1, 1, 0, -1, 0, 1, 0, -1, 4, 0, 0, 0, 0, 2, 1, -1, 1, 0, 1, 0, 0, 1, 1, 0, 0, -1, 0, 1, 0, -1, 0, 4, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, -2, 0, 0, 0, 1, 0, 0, 4, -1, -1, -1, 0, 0, 0, 0, 0, 2, 0, 1, -1, 1, 2, 1, 0, 1, 0, 0, 0, -1, -1, 4, 1, 0, -1, -1, 0, 1, -1, -1, -1, -1, -1, 0, 0, 1, 1, 1, 2, 0, 0, 0, -1, 1, 4, -1, 1, 0, 1, -1, 1, -1, 0, 0, 1, 1, 0, 0, 0, 1, 0, -1, 2, 1, -1, 0, -1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, 4, 0, -1, -2, 1, 0, 0, 1, 1, 0, -2, 1, 2, 1, 1, 1, -1, 0, 0, -1, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, 2, 3, 1, 0, 0, 0, 1, 0, -1, 1, 4, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 4, 0, 0, 0, 0, 2, 1, -2, -1, 2, 0, 1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 1, 0, 4, 0, 0, 1, 2, 1, 0, -2, 0, 0, 0, 1, 0, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 1, 0, 0, 0, -1, 0, -1, 1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 2, 1, -2, -1, -2, -2, -1, 0, 2, -2, -1, 1, 0, 0, 1, 0, -1, -1, 0, 4, -1, -1, -1, 1, 1, 2, 0, 0, -1, 1, -1, 2, 2, 1, 2, 0, 0, 0, -2, 1, 1, -1, 4, -1, 0, 0, 0, 0, -1, -1, -1, 0, -1, -2, 0, 1, -1, -1, 2, 1, 1, 0, 0, -1, -1, 4, 0, 1, 0, 0, -1, -1, -1, 1, 0, -1, -1, 0, -1, 2, 0, -2, -1, 0, 2, -1, 0, 0, 4, 0, -2, -1, -1, -1, 0, 0, 3, -2, -1, -1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 4, -1, 1, -2, -2, -1, 2, -1, 1, 1, 0, 0, 0, -1, 0, -2, 0, -2, 1, 0, 0, -2, -1, 4, 2, 2, 1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 2, 0, 0, -1, 1, 2, 4, 1, -1, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, -1, -1, -1, -2, 2, 1, 4, 2, 1, -1, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, -2, 0, -1, -1, -1, -2, 1, -1, 2, 4, 0, -1, 0, 2, 0, -1, 0, -1, -1, 1, 2, 0, -1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 4, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 1, 0, 2, 1, 2, -1, -1, 0, 4, -1, 0, 1, -1, -1, 0, 0, 0, -2, -1, 2, -1, -1, 0, 3, -1, -1, -2, 0, 0, 1, -1, 6, -1, -2, -1, 0, 1, 0, -1, 0, -1, -2, 2, -2, -1, -2, 1, 0, 0, 0, 2, 0, 0, -1, 6, 1, -1, 2, 0, -1, 0, 0, 0, -1, 2, 0, -1, -1, 1, 1, 2, 0, 0, 0, 1, -2, 1, 4, 0, 1, -1, -1, 0, 0, 1, 1, 1, 1, 0, -1, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 4, 1, 0, 1, 0, -1, 1, 0, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, 1, 4, 1, 0, -1, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, -1, 0, 1, 4, 1, -2, 0, 0, 1, 0, 2, 0, 0, -1, 0, 0, -1, -1, -1, 0, 0, -1, -1, 1, 0, 1, 4, -1, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, -1, -2, -1, 4, 1, 0, -1, -2, 1, -1, 1, -2, -1, -2, 0, 2, 0, -2, 0, 0, 0, -1, 0, 0, 0, 1, 6, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, -1, 1, 2, -1, 2, 1, 2, 2, 1, -2, -2, 1, 2, 2, -1, 2, -2, 1, 2, 4, 0, -1, -1, 1, 2, 0, 0, 1, 2, 1, 2, 0, -1, 1, 1, 0, -1, 2, -2, 1, 0, 0, 4, 1, 2, -2, -1, 0, 0, -2, -1, 1, -1, -2, -1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 1, 4, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 2, 0, 4, -2, -1, -1, -1, -2, -1, 0, -1, -1, 0, -1, 0, 0, 0, -1, 0, 1, 1, 1, -2, 0, -2, 4, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, -1, 1, 1, 0, 2, 2, -1, 0, -1, 2, 4, -1, 0, 1, 2, 0, 2, 1, -1, 0, 2, 0, -2, 2, -1, 0, -1, 0, 0, 0, -1, 1, -1, 4, -1, 0, 0, 1, 0, 2, 1, 0, -2, 0, 1, -1, 2, 0, 2, 0, 0, 1, -1, 0, 0, -1, 4, 0, 0, 0, 0, -2, -1, 0, 1, 1, 1, 1, 0, -1, 1, 1, -2, 0, -2, 2, 1, 0, 0, 4, 2, -1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 0, 2, 2, -1, 0, -1, 1, 2, 0, 0, 2, 4, 1, 2, 0, -1, 0, 0, 0, -2, 2, -2, 0, 2, 1, 1, -1, 0, 0, 0, 1, 0, -1, 1, 6, 1, 0, -1, 0, 0, 2, -1, 0, 0, 1, 1, 2, -1, 0, -1, 1, 2, 0, 0, 1, 2, 1, 4, 1, -1, 0, 0, -1, -2, 1, 0, 0, -2, 0, -2, 0, -1, 2, 1, 2, -2, 0, 0, 0, 1, 6, 2, -1, -1, -2, 0, 0, 3, 0, -2, -1, -1, -1, 0, 1, -1, 1, -1, 1, -1, -1, -1, 2, 4, -2, -1, -1, 1, -1, 1, 0, 1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 4, 1, 0, 0, 1, -1, 1, 2, 1, 0, -1, 0, 1, 2, -2, 1, 0, 0, 0, 0, -1, -1, 1, 4, 1, -1, 1, -1, 1, 2, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 2, -1, -2, -1, 0, 1, 4, 0, 0, 0, 1, -1, -1, 1, 1, 0, -1, -2, 1, 1, -1, -2, -1, -2, 0, 1, 0, -1, 0, 4, -1, 1, 0, 2, 2, 0, 1, -1, 1, 2, -1, 1, 1, 2, 0, 1, 0, -1, 1, 1, 0, -1, 4, -1, 0, -2, -2, -1, 1, 0, 1, -1, 2, 0, -1, -2, 0, 0, 3, 1, -1, -1, 0, 1, -1, 6, -1, 1, 1, 0, -1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, -1, 1, 2, 2, 1, 1, 1, -1, 2, -1, 1, 0, 2, -1, 0, 1, 0, 1, 1, 4, -2, -1, 0, 2, 2, 1, -1, -1, 1, 1, 1, 1, 2, 1, 1, -2, -1, 2, 1, 1, -2, -2, 4, 2, 1, -2, -2, -1, 0, 0, -1, -1, 0, -1, -1, 0, 0, 1, 1, -1, 0, -2, -1, -1, 2, 4, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, -1, -1, 0, 1, -1, 4, 0, -1, 0, -1, 0, 1, -1, 0, 1, 1, -1, 1, 0, -1, 0, -1, 0, 1, 2, -2, 0, 0, 4, 0, 2, -1, 0, 0, 0, 1, 2, 2, 0, 1, -2, 0, 2, 0, 2, 2, 2, -2, -2, -1, 0, 4, 0, 0, 0, 1, 0, 1, -1, 1, 0, 0, -1, -1, 1, 0, 0, 2, 1, -1, 0, 0, 2, 0, 4, 1, 0, 0, 0, 2, 1, 1, 0, 2, -1, 0, 1, 0, 1, 1, -1, 0, 0, -1, -1, 0, 1, 4, -1, 0, 0, 1, -1, 0, -1, -1, 1, -1, -1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 4, -1, -1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 1, -1, -1, 1, 0, 1, 0, 0, -1, 4, 0, 0, 0, 1, -1, 0, -1, -1, 0, 1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, 4, -2, 0, 0, 0, -2, 0, -1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, -2, 4, 0, 1, 0, 2, -1, 0, 1, 0, 0, -1, 1, -1, 0, 1, 2, -1, 1, -1, -1, 0, 0, 0, 4, 1, 1, 1, -1, 0, 1, 0, 1, 1, 2, -1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 4, 0, 0, -1, -1, 1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 4, 1, -1, 1, 1, 1, -1, 2, 1, 0, 0, 1, 1, 0, 2, -1, 0, 0, -2, 2, 1, 0, 1, 6, -2, 2, 2, 0, 1, -1, -2, 1, 0, 0, -2, -1, -1, 1, 1, -1, 0, -1, -1, -1, -1, -2, 4, 0, -2, 0, -1, 0, -1, 1, 2, -1, 0, -1, 0, -1, 0, -1, -1, 0, 0, -1, 1, 2, 0, 4, 0, 1, 0, 1, 2, -1, 0, 0, 2, 1, 1, -1, -1, 0, 0, 1, 1, 1, 1, 2, -2, 0, 4, 1, 1, 0, 1, 0, 1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 4, 0, 1, 1, -2, -1, 0, 2, 0, 1, -1, 0, 1, 1, 0, 1, 0, -1, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 1, -2, 2, 1, 1, 1, -1, 0, -1, 2, 2, -1, 2, 1, -1, 1, 4, -1, 0, -1, 2, 1, 2, -1, 1, 0, -1, 0, 0, 1, 0, 0, -1, -2, 2, 0, 0, -1, -1, 4, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, -2, -1, -1, 1, 0, -2, -2, 2, -1, 0, -1, 4, -1, 0, 0, 0, 1, 0, -1, 1, -1, 1, 2, -1, 0, -2, 0, 1, 1, 0, 1, -1, 0, -1, 4, -1, 1, -1, 0, 1, 1, 0, 1, -1, -1, 0, 1, 2, 1, -1, 0, 1, 1, 2, 0, 0, -1, 4, 2, 2, -1, 1, 0, 0, -1, 1, 0, 0, -1, 1, -2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 4, 1, -2, 2, 0, 0, 1, -1, 0, 0, 1, 2, -1, 0, 0, 0, 1, 2, 0, 0, -1, 2, 1, 4, -1, 2, -1, 0, 0, 1, 0, 0, 1, 1, -2, 0, 0, 0, -2, -1, 0, 1, 0, -1, -2, -1, 4, -2, -1, -1, 0, 1, 0, 0, -1, -2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, -2, 4, 1, 0, 0, -1, 0, 0, 2, 2, -1, 0, 0, 0, 1, 0, 1, -1, 1, 0, 0, -1, -1, 1, 4, 0, 0, -1, -1, -1, 0, 0, 1, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 4, -1, 1, 0, -2, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, -1, 4, -1, 0, -1, 1, 1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 4, 1, 0, -1, 0, 0, -1, 1, -1, 0, 1, -2, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 4, 0, 0, -2, -1, 1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 4, 0, 0, 0, -1, 0, 0, 2, 0, -1, 0, 1, -1, 1, 1, -1, 2, 0, 1, 1, -1, 0, 0, 4, 1, 0, 1, 1, 0, 2, -1, 1, -2, 2, 1, 2, 1, -2, 2, 0, 1, 1, 0, -2, 0, 1, 6, 0, -2, 0, 0, -1, -2, 0, 0, 1, -2, -1, -2, 0, -1, 1, 1, -1, 0, -1, 0, 0, 0, 4, -1, 0, 0, 2, 2, -2, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, 1, -2, -1, 6, 2, -1, 1, 0, -2, 1, 0, 0, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, 1, 0, 0, 2, 4, -1, -1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, -1, 2, 2, -2, -1, -1, 0, -1, -1, 1, 1, 1, -2, -2, 2, 1, 0, -2, 4, -2, 1, -1, 2, -2, -2, 2, 2, -1, -1, 2, 1, 0, 1, -1, 2, 1, -2, -1, 0, 2, -2, 4, 0, 2, -1, 1, 2, -2, -1, 0, -1, 0, -1, -1, -1, 0, -2, -2, 2, 0, -1, -1, 1, 0, 4, 0, -1, 1, -1, 1, 1, 0, -2, 1, 2, -1, 1, -1, 0, 1, 0, -1, 1, 1, -1, 2, 0, 4, 1, -1, 1, -1, 1, 0, -2, 0, 1, -2, -2, 0, -1, -1, 1, 0, 1, -1, 2, -1, -1, 1, 6, -2, 0, 2, 0, -1, 0, 1, 0, -1, 1, -2, 1, -1, -1, 1, 0, 2, -2, 1, 1, -1, -2, 6, 0, 0, -3, 0, 2, 0, 0, 2, 3, -1, -1, 0, 1, 1, 0, 2, -2, 2, -1, 1, 0, 0, 4, -2, -1, 0, -1, -2, -2, -1, 0, 0, -2, -2, 2, 0, -1, -2, 2, -2, 1, -1, 2, 0, -2, 4, 1, -1, 0, 1, 1, 0, 1, -1, 1, 1, -1, 0, 1, -1, 2, -1, 1, 1, 0, -3, -1, 1, 6, -2, -2, 0, 2, -1, -2, 2, 1, 1, -1, -2, 2, -1, -1, 0, 0, 0, -1, 0, 0, -1, -2, 4, 0, 0, 0, -1, -1, 0, 1, 1, -1, 0, -1, 0, -1, -1, -2, -2, 0, 2, -1, 0, -2, 0, 6, -1, -1, 2, 1, 0, 0, 0, -1, 2, 0, -1, 2, 0, 1, 0, 1, 0, -2, 1, 0, 0, -1, 4, 1, 0, 1, -1, 1, 0, -1, -1, -1, -1, 1, -1, 2, 1, 0, 0, -2, 1, 2, 0, -1, 1, 4, -1, 0, 0, 1, 1, -1, 0, 2, 1, 0, -1, -1, -2, -1, 2, -1, 0, -1, -1, 2, 0, -1, 4, 1, 0, 0, 1, 0, 0, 0, 1, 1, -1, 1, -2, 1, 3, 0, 1, -2, -1, 1, 1, 0, 1, 6, -1, 0, -1, 0, 1, 0, 1, -1, 0, -1, 0, -2, -1, 0, -1, 2, 0, 0, -1, 0, 0, -1, 4, 0, 0, 0, 0, 1, -2, 2, -2, 0, -1, 1, -1, -2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 4, 2, -2, 0, 0, -2, 1, -2, 1, -1, -1, 0, -2, 1, 1, 1, 0, 0, 1, 1, -1, 0, 2, 4, -2, -1, 1, 2, -2, 2, 0, 1, -1, 1, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, -2, -2, 4, 1, 0, 1, -1, 0, -1, 0, 1, 1, 0, 0, -2, 0, 2, -1, 0, 0, 1, 0, 0, -1, 1, 4, 0, 0, 0, -1, 1, 1, 0, 0, -1, 1, 2, -1, 0, -1, 2, 0, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 2, -2, -1, 0, -2, 1, -1, 0, -1, 2, 1, 0, -1, 1, 1, 1, -1, 0, 0, 2, 4, -2, 0, -2, -1, -1, -1, -1, -2, -1, 1, 1, 1, 0, 0, 1, 1, 0, -1, -1, 0, -2, -2, 4, -2, 2, 2, -1, 1, 1, 1, 0, -1, -1, -1, -1, 1, -1, -1, -1, 1, 0, -1, 2, 0, -2, 4, -2, -1, 1, -2, 1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, -2, -2, 2, -2, 4, 1, -1, 1, 1, 1, 0, -1, -1, -2, -1, -1, -1, -1, -1, 1, 0, 1, -1, -1, 2, -1, 1, 4, 1, -1, 2, 2, 0, -2, 1, 1, -2, 2, -2, -2, -2, 2, 0, 1, 0, -1, -1, 1, -1, 1, 4, 0, 0, 2, 1, -1, 1, 2, 0, 1, -1, -1, -1, 1, 0, 1, -2, -1, 1, -2, 1, -1, 0, 6, -3, 1, 1, 3, -3, -2, 2, -2, 1, 1, 0, -1, 1, -2, 1, -1, 1, 1, 1, 2, 0, -3, 6, 1, 1, -3, 3, 1, -1, 1, -2, -2, 0, 2, 1, 1, -1, -2, 1, -1, 1, 2, 2, 1, 1, 6, 0, -1, 2, 1, -1, -1, -2, -2, -1, 2, 0, 1, 0, -1, 0, 1, 0, 0, 1, 1, 1, 0, 4, -1, 1, 0, 0, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -2, -1, 3, -3, -1, -1, 6, -3, -1, 2, 0, 1, 1, 0, -2, 1, -1, 2, 1, -1, 1, -1, 1, 1, -3, 3, 2, 1, -3, 6, 2, -2, -1, 0, -1, 0, 1, 0, 1, 1, 1, -1, 1, -2, 1, 2, -2, 1, 1, 0, -1, 2, 4, -1, 2, -1, -1, -1, 1, 0, 1, 0, 0, -1, 1, -1, -2, 0, 2, -1, -1, 0, 2, -2, -1, 4, -1, 0, 1, 2, -1, 0, -1, -1, 0, 1, 0, -1, 2, 1, -2, 1, -1, -1, 0, -1, 2, -1, 6, -1, -1, -2, 1, 0, 1, 1, 1, -1, 0, -1, -2, -1, 1, -2, -2, 1, 1, 0, -1, 0, -1, 4, 2, 1, -2, 1, -1, 1, 1, -1, 0, -1, -2, -1, 1, -2, -2, -1, 1, -1, -1, 1, -1, 2, 4, 1, -2, 1, -1, 1, 0, -1, 2, -1, -2, -1, 0, 0, -1, 1, 0, 0, -1, 2, -2, 1, 1, 4, -1, 0, -1, -1, -1, 1, 0, 1, 2, 1, -1, 2, 2, 1, -2, 1, 1, -1, 1, -2, -2, -1, 4, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 4, -1, 0, 0, -1, 0, 1, 1, 1, -2, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 0, 0, -1, 2, -2, -1, -2, 2, -1, 1, 1, 1, 0, 0, 2, -1, -1, 0, -1, 2, 4, 2, 1, 1, 0, 2, -1, 0, -2, 2, -1, 1, -1, 1, 1, -1, 1, 0, 1, 0, 0, 1, 2, 4, -1, -1, 0, 1, 1, 0, -1, 1, 1, -1, -2, -1, -1, -2, 2, 0, 2, 0, 0, 0, 1, -1, 4, 2, -1, 0, -2, 1, 1, 1, -1, 2, -1, 1, 1, 0, -1, -1, 0, -1, 0, 0, 1, -1, 2, 4, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 4, -1, 1, 0, 1, -2, 1, -1, 0, 0, 1, 1, -1, 0, 1, 1, -1, 2, 2, 1, 0, 0, -1, 4, -2, 0, -3, 2, -1, 1, -1, 1, 1, 0, 0, 0, 1, 1, -1, -2, -1, 1, -2, 0, 1, -2, 6, 1, 1, -1, 3, -2, 0, -2, -1, -2, -1, 2, 2, 1, 1, -1, 0, 0, 1, 0, 0, 0, 1, 4, -1, 0, 0, 0, 0, -1, -1, 0, -1, 1, 1, 1, 0, -2, -2, -1, 1, 1, 1, -3, 1, -1, 6, -2, 2, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 2, 2, 1, 1, 1, -2, 2, -1, 0, -2, 4, -1, 2, -1, 0, 0, -1, 0, -1, 1, 0, 0, -1, -1, 1, -1, 0, 1, -1, 3, 0, 2, -1, 4, -2, -1, -1, 0, -1, -1, 1, 2, 1, 0, 1, 1, -1, 2, 2, -1, 1, -2, 0, -1, 2, -2, 4, 1, 0, 0, 1, 0, -2, -1, 0, 0, 1, -1, -2, -1, 1, 0, -1, 0, 0, 0, -1, -1, 1, 6, 0, -1, 1, 2, 0, -4, 1, -1, 1, 1, -1, 1, 0, 0, 1, -2, -1, 0, 0, -1, 0, 0, 4, 2, 0, -1, 0, -1, 0, 0, 0, 1, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, -1, 2, 4, 1, -2, 0, 1, 0, 0, 0, -1, -2, 0, 0, 1, 0, -2, 0, -1, -1, -1, 1, 1, 0, 1, 4, -1, -1, -1, 0, 0, 2, 1, 2, -1, -1, -1, 0, -1, -1, 0, 0, -1, 0, 2, -1, -2, -1, 6, 0, -2, 0, 0, -1, 0, 0, -1, -1, 0, 0, 2, 1, 0, -1, 1, -2, 0, 0, 0, -1, 0, 4, 0, 1, 1, -1, 1, 2, 0, 0, 1, 1, 2, 1, -1, 1, 2, -1, -4, -1, 1, -1, -2, 0, 6, 1, 0, 0, 0, 0, -1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 4, -1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, -2, 2, 1, 1, 1, 1, 4, 0, -2, 0, 0, 0, 0, 0, 1, -1, 1, -1, 2, 2, 0, 0, 0, 0, 1, -1, 2, -1, 0, 4, 2, 0, -2, 1, -2, -1, 1, -1, 0, -2, 1, -1, -2, 0, 2, 1, -1, -2, 0, -2, -2, 2, 6, -2, -1, 2, 0, -2, -2, -1, -2, 0, -2, -3, -1, 0, 2, 1, -2, -2, -2, 1, 0, 0, -2, 4, 0, -2, -1, 2, 1, 2, 1, -1, 0, 0, 0, 1, -2, -1, 1, 2, 0, 1, 0, -2, -1, 0, 4, -1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, -1, 1, 1, 0, 1, 0, 0, 1, 2, -2, -1, 4, -1, 0, -1, -1, -1, 0, 0, 0, -1, 0, 1, 2, -1, -2, 0, 1, 0, -2, 0, -1, 2, -1, 4, -1, 0, 1, 0, 2, 0, 0, 2, 1, -1, 1, 0, 0, 0, 2, 0, -1, -2, 2, 1, 0, -1, 4, 1, 2, 0, 1, 1, 1, 0, 1, -2, 0, 1, 2, 0, 1, 1, 1, -2, 1, 1, -1, 0, 1, 4, 1, 2, -1, 2, 2, -1, 0, 0, 1, 0, 0, 2, 1, -1, -1, -1, 2, 2, -1, 1, 2, 1, 4, 1, 0, 0, 0, 1, 1, -2, 0, 1, 1, 0, 0, 1, 0, -2, 1, 1, -1, 0, 0, 2, 1, 4, -1, 0, 2, -1, 0, 0, -1, 0, 0, 2, 2, -1, -2, 0, -1, 1, 0, 2, 1, -1, 0, -1, 6, 1, 1, 2, 2, -1, 1, -1, 2, -1, 2, 2, 1, -2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 6, 3, 1, 1, 0, 3, 0, 0, 1, 2, 2, -1, -3, 0, 2, 0, 0, 1, 2, 0, 2, 1, 3, 6, 1, 0, -1, 2, 1, 1, 3, 1, 0, -2, -1, 0, 1, -1, 2, 0, -1, 1, -1, 2, 1, 1, 4, 0, -2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 4, -1, 1, 0, 0, 0, -2, 0, 2, 2, -2, -1, 1, -1, -2, 0, -2, 0, -1, 0, -1, -2, -1, 4, 0, -1, -2, 0, 2, 0, 1, 1, -1, 1, 2, 1, 0, 1, 0, -1, 1, 3, 2, 1, 1, 0, 6, -1, -1, 1, 1, 1, -1, -2, 1, 1, -1, 0, 1, 0, 1, 0, -1, 0, 1, 1, 0, -1, -1, 4, 1, 1, 1, -1, -2, -2, 2, 0, -2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, -2, -1, 1, 6, -1, 1, 2, 0, -2, 0, 1, 0, 0, 0, 2, 0, 2, -1, 1, 3, 0, 0, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 1, -2, -1, -1, -1, -1, -1, 2, -1, 0, -1, -1, 1, 2, 1, -2, -2, -1, 2, 4, -1, 1, 0, -2, -1, -2, -2, 1, 0, 2, 0, -1, -2, -2, 1, 2, 1, -2, -2, -1, 0, -1, 4, 1, -1, 1, 2, -1, -1, -2, -2, 0, -2, -1, 0, 2, -1, 0, 1, -1, 0, -1, 0, 1, 1, 4, -2, 0, 0, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, -2, 4, 0, 0, 1, 1, 0, 0, 0, 1, -1, 0, -1, 0, 2, -1, 0, -2, 1, -2, -2, 1, 0, 0, 4, 2, 2, 1, 0, 1, -2, 0, 0, 2, 0, -2, -2, -1, 0, 2, 0, -1, -1, 2, 0, 0, 2, 4, 1, -1, 0, -1, -1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0, -1, -2, -1, -1, 1, 2, 1, 4, 2, 0, 1, -2, 1, 1, 2, 0, -1, -1, -1, 1, 1, 1, -1, -2, -1, -1, 1, 1, -1, 2, 4, -1, 1, -2, 1, 1, 2, 1, -1, -1, -1, 1, 1, 1, -1, 1, -2, 0, 0, 0, 0, 0, -1, 4, 2, 0, 1, 0, 0, -1, 0, -1, -1, 0, 1, 0, -1, 0, -2, 0, 0, 1, -1, 1, 1, 2, 4, -1, 1, 0, 0, -1, 0, -2, -1, 1, 2, 1, 2, 2, 0, 1, 0, -2, -1, -2, -2, 0, -1, 4, 0, 0, -2, -1, 2, 1, 0, -1, -1, 0, -1, 0, -2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 4, 1, 0, -2, 1, 0, -1, 1, 1, 2, 0, -1, -1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, 4, 2, -1, 0, -2, 0, 0, 2, 0, -1, -2, 0, -1, 0, 2, 1, 2, 2, 0, 0, -2, 0, 2, 4, 1, -2, -2, 0, 0, 2, -1, -1, -2, 2, -1, -1, 0, 0, 0, 1, -1, -1, -1, -2, -1, 1, 6, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -2, -1, -1, -1, 0, 0, 2, 1, 0, -2, -1, 4, 0, 1, 0, 0, 1, 2, 2, 0, -1, 2, -2, -1, -1, -1, -1, -2, 1, 0, -2, -2, 0, 0, 6, 0, -1, -4, 0, 1, 1, 1, 0, -1, -1, 1, -1, -1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 4, -1, 0, -1, -2, -2, -1, 0, 0, 0, 0, 1, 1, 0, 1, -1, 1, 0, 0, 0, 0, -1, -1, 6, 2, 2, -2, -2, 0, 1, -2, 2, 1, 1, 1, 1, 2, -1, 1, 2, 2, 0, 0, -4, 0, 2, 6, 0, -1, -1, -1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, -1, 0, 1, 0, -1, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -2, -1, 1, 0, 0, -1, 1, -1, 1, 2, -1, -1, -1, 1, 0, 0, 0, 0, 4, -1, -1, 1, 1, 2, 1, 0, 0, 1, 1, -1, 1, 0, -2, 2, -2, 0, 1, 0, 1, 1, -1, 4, 0, -1, 0, 0, 0, 1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 2, 0, 1, 0, 2, -1, 0, 4, -2, -2, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, 1, 0, -2, 1, -1, -2, 4, 2, 1, -1, 1, -1, 1, 0, 0, -1, -1, 0, 1, -1, -1, 0, 0, -1, -2, 1, 0, -2, 2, 4, 2, -1, 0, 1, 0, -1, 1, -1, -2, -1, 1, -1, 0, 1, 1, -1, -1, 2, 0, -1, 1, 2, 4, 1, 0, 0, 0, 1, -1, 1, -1, -1, 2, -2, 0, 0, 1, 1, 1, 1, 0, 0, -1, -1, 1, 4, -1, -1, 0, 1, -1, 1, 2, -1, 1, -2, -1, 0, -1, 2, 0, 0, 1, -1, 1, 0, 0, -1, 4, -1, -1, 1, -1, -1, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, -1, 4, -1, 0, 1, 1, -1, -1, -1, 2, 1, 0, 0, -1, -1, 1, -1, 0, 1, 0, 0, 0, -1, -1, 4, 0, -1, 0, 0, -1, 2, -1, -1, 1, 1, 1, 1, 1, 1, 0, 0, -1, 1, 1, 1, 0, 0, 4, -1, 2, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 1, -1, -1, -1, 1, -1, -1, 4, 0, -1, 1, -1, 2, -1, 1, -1, -2, 1, 1, 0, 0, -1, -1, 1, 1, -1, 1, 0, 2, 0, 4, 1, 0, 0, 0, 0, 0, -1, 0, 2, 0, -1, 1, -1, -2, -1, 2, 0, -1, 0, 1, -1, 1, 4, 0, -1, -1, -1, -1, -1, 1, -1, -2, 0, 0, 0, -1, -1, -1, 1, -1, -1, 0, 1, 0, 0, 4, -1, 2, 0, -1, -1, -1, -1, 2, 0, -1, 1, 1, 2, 1, 0, -1, 2, 0, -1, 0, -1, -1, 4, -2, 0, 1, 1, 1, -1, -2, 0, 1, -1, -1, -2, -2, -1, 2, -1, 0, 2, 0, -1, 2, -2, 6, 1, 0, 0, -1, 1, 0, 2, 0, -1, 0, 0, -1, 0, 1, -1, 0, -1, 0, -1, 0, 0, 1, 4, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, -1, 1, 0, 0, 4, 1, 0, 0, 0, 1, 1, 0, 1, 1, -1, 0, 0, 1, 0, -1, -1, -1, -1, 1, 0, 1, 1, 4, 0, 0, 1, 0, 0, -1, -1, 1, 2, 0, -1, 1, 1, -2, 0, 1, -1, 1, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 2, 1, 2, -2, -1, -1, 0, 0, 0, 1, -1, -1, 0, 2, -1, -1, 1, 0, 0, 0, 6, 3, -1, 2, -1, 0, 0, 2, 1, -2, 0, 0, 1, 1, 1, 0, 3, 2, 3, -1, 0, -2, 3, 6, -2, 1, -1, 1, -1, 2, -1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, -1, 2, -1, -2, 4, 1, 2, -2, -1, -2, 1, 1, -1, 1, 0, -1, -1, 0, -1, -1, 0, -1, 0, 1, 2, 1, 1, 4, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 1, 2, -1, -1, 2, 1, 4, -2, -1, -2, -1, 1, -1, 1, -1, 0, 0, 0, 0, -2, -1, -1, 0, -2, 0, 1, -2, 0, -2, 4, 2, 2, 1, -1, 2, -1, 1, 1, 0, 0, 1, 0, -1, 0, 1, -1, 0, -1, -1, 0, -1, 2, 4, 1, 2, -2, 1, -2, -1, 2, 0, 0, 2, 0, -2, 0, 2, -1, 2, 2, -2, 0, -2, 2, 1, 4, 1, -2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, -1, 1, 1, -1, 1, 2, 1, 4, -2, 1, -1, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, -2, 0, 1, 0, 1, -1, -2, -2, -2, 4, 0, 1, 1, -1, -1, 0, -2, -1, 0, 0, -1, 0, 0, 1, -1, 1, -1, 2, 1, 1, 1, 0, 4, -1, 0, 0, 0, 2, -1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, -1, -2, 0, -1, 1, -1, 4, 1, -1, 0, 1, 0, -1, 0, -1, -2, -1, 1, 2, 0, 0, -1, 1, -1, 1, 0, 1, 0, 1, 4, -1, 0, 0, 1, 1, 0, -1, -1, -1, 1, 0, -1, 1, 0, 1, 2, 0, 1, -1, 0, -1, -1, 4, 0, -1, 1, -1, -1, 0, 1, 0, 1, 2, -1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 4, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, -1, 1, 4, -1, 0, 1, 0, 0, -1, 3, 1, -1, 1, 0, 1, 2, 2, 1, -2, -1, 0, 1, 1, 0, -1, 6, 1, -1, -1, 1, -1, 2, 1, -1, -1, -2, 0, 0, 1, 0, -1, 0, -1, 1, -1, 0, 0, 1, 4, 1, 0, 0, 1, 3, 2, 0, 1, -1, -1, -2, 0, 0, 0, 1, 0, 0, -1, 1, 1, -1, 1, 6, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, -1, 0, 1, 4, 0, 0, 0, -1, 0, 1, 0, 1, 2, 1, 1, -1, 1, -2, -1, 1, 0, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, -1, -1, 1, 1, -2, -2, 2, 2, -1, 1, -1, 1, 2, -2, 1, -2, 1, 0, 1, 4, -1, 0, -2, -2, 2, 2, 0, 0, 2, 2, -1, 2, 1, 2, -1, 1, 0, -2, 0, -1, 0, -1, 4, 1, 0, 1, -1, 0, 0, 0, -2, -2, 0, 0, 0, -1, 0, 1, -1, -1, -1, 2, -2, 0, 1, 4, 1, 0, 0, -1, 2, 2, 0, -2, 1, 1, 0, -1, -1, 2, -2, 0, -1, 1, -1, -2, 0, 1, 4, 2, 0, -2, 1, 1, 0, 0, 2, -2, 0, -1, 1, 0, -1, 1, 0, 0, -1, -2, 1, 0, 2, 4, 0, 0, 0, 1, -1, 0, 1, -2, 0, 0, 0, -1, -1, 2, 0, 0, 1, 2, -1, 0, 0, 0, 4, 2, -1, 0, 1, 2, -1, 0, 1, 1, 1, -1, 0, 0, 1, -1, 1, 2, 0, -1, -2, 0, 2, 4, -1, -1, 0, 2, -2, 0, 1, 2, 0, -1, 0, 0, 0, -1, -2, 0, 0, 2, 1, 0, -1, -1, 4, 2, -1, 0, 1, 0, 0, 0, -2, 1, -2, 1, -2, 0, -2, 0, 0, 2, 1, 1, 0, -1, 2, 4, -1, 0, 1, 0, 0, 0, -2, 2, -2, 0, 0, 0, 2, 2, -2, 0, 0, -1, 1, 0, -1, -1, 6, 2, 0, 2, -1, 2, 1, 0, 0, -2, 0, 0, 2, 2, -2, -2, 0, 0, 2, 2, 0, 0, 2, 6, 0, -1, 0, 3, 0, -1, 0, -1, 1, -2, -1, -1, 0, 1, 2, 1, -1, -2, 1, 1, 0, 0, 4, 0, -1, -1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, -2, -2, 0, 0, 0, 0, 2, -1, 0, 6, -2, 1, 0, 1, -1, -2, 0, 2, -1, 1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, -1, -2, 4, 0, -1, 0, 0, 0, 0, -1, 1, 2, -1, -1, -1, 0, 1, 2, 0, 0, 2, 3, -1, 1, 0, 4, 0, 0, -1, -1, 0, 0, 2, -1, 0, -1, 1, 0, 1, 0, -2, -2, 1, 0, 0, 0, -1, 0, 4, -2, 1, 0, 1, 1, -2, 1, 1, 2, 0, -1, -1, -1, 1, 2, 0, -1, 0, 1, 0, 0, -2, 6, -1, -2, 0, 1, 1, 0, -1, -2, -1, -1, 0, 0, -2, -2, 0, 0, 0, -1, 0, -1, 1, -1, 4, 0, 1, -1, -2, -2, -1, 0, 1, 2, 0, 0, 1, 0, -2, -1, 1, -2, 0, -1, 0, -2, 0, 6, 0, -1, 1, 0, -1, -1, 0, 0, 1, 0, -2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 4, -1, 0, -1, 2, 1, 0, 0, -1, -1, 0, 0, 0, -2, 0, 2, -1, 0, 1, 1, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 1, 2, 1, 2, 2, -1, 1, 1, 2, -1, -2, 1, 1, -1, -2, 1, 0, 1, 1, 4, 0, 0, -1, 2, 0, 0, 1, 0, 2, 0, 1, -1, -1, -1, 1, -2, 1, 2, 1, 1, 2, 0, 4, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, -2, 1, -1, 0, -1, 0, 0, 4, 1, -2, -2, -1, -1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -1, 0, 1, -1, 0, 1, 6, -1, -1, 1, 1, 0, 1, -2, 1, -1, 1, 1, 2, 1, -2, 1, 1, 1, 2, 2, 0, -2, -1, 6, 0, 0, 0, 0, 1, 0, 1, 0, -3, -2, -1, -3, -2, 1, 1, -1, 1, 0, 0, -2, -1, 0, 4, 2, 0, 1, 0, 0, -1, -2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, -1, 1, 0, 2, 4, 0, -1, 0, 0, 1, -1, -1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, -1, 1, 0, 0, 0, 4, 0, 1, 1, 1, -1, 0, 1, 1, 0, -2, 1, 0, 1, -1, 0, 0, -1, 0, 0, 1, -1, 0, 4, 0, -1, -1, 0, 2, -1, -1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 4, -1, 1, -2, 1, 0, 1, -1, -1, 2, 1, 1, 1, 0, 2, 0, -2, 0, 0, 0, 1, -1, -1, 4, 1, 1, -2, 0, 0, 0, 0, -1, -2, -1, 2, 1, 1, 0, 1, 1, -1, 1, 1, -1, 1, 1, 4, -1, -1, 0, 1, -1, 0, 1, 0, 1, -1, -1, 1, 2, -1, 0, -2, -1, -1, 0, -2, 1, -1, 6, -2, 0, -2, 0, 0, -1, -1, -1, -2, -1, 0, 0, 1, -3, 1, -1, 0, 2, 1, -2, -1, -2, 6, 0, 0, 1, 1, 1, 0, 1, 1, -1, 1, 0, 1, -2, 1, 2, 1, -1, 0, 0, 0, 0, 0, 4, 2, 1, -1, 0, 0, 2, 1, 1, 0, 0, 2, -1, 1, 2, 1, -1, 1, 0, 1, -2, 0, 2, 4, 0, 0, 1, 1, 2, -1, -2, 0, 0, 1, -3, 0, 0, 0, 1, -1, 0, -1, 0, 1, 1, 0, 4, 0, -1, 0, 0, -2, 1, -2, 2, -2, -2, 0, 0, -2, 0, -1, 0, 0, 0, 1, -1, 0, 0, 6, -1, -1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, -1, 1, -1, 1, 0, 1, -1, -1, 4, 2, 1, 0, 1, -1, -1, 1, 1, 0, 0, 0, 0, 1, -2, 0, -1, 0, 0, 1, 0, -1, 2, 4, 0, 1, 1, 0, 0, 1, -1, 1, 2, 1, 0, 1, -1, 1, -1, 1, 2, 2, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -2, 1, -2, -2, -1, -1, 1, 0, 1, -1, 0, -1, -1, 1, -1, 0, 0, -2, 2, -1, 4, -2, -1, 1, 2, 1, 1, 0, 1, 0, -2, -1, 0, 0, 0, -1, 2, 0, 0, 1, 0, 2, -2, 4, 0, -1, -1, 0, -1, 0, 1, 0, 1, 0, 0, -1, 0, 2, 0, 1, 0, -2, 1, -2, -1, 0, 4, 0, 0, 0, 1, 0, -1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 4, 0, -2, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, -1, 0, 1, -1, 1, -2, 2, -1, 0, 0, 4, 2, 0, 0, 0, -1, -2, 0, -1, 1, 1, -1, 1, 1, -1, 2, -1, -2, 1, 0, 0, -2, 2, 4, 0, 1, 0, 0, -2, 1, 0, 0, 1, -1, 2, 1, 0, 1, -1, -1, 1, -1, 1, 0, 0, 0, 4, 0, 1, 1, 1, 0, 1, -1, -1, 1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, 0, 1, 0, 1, 1, 1, -1, 0, 0, 0, 1, 0, 4, 1, -1, -1, 1, 0, 0, 0, 1, -1, -1, -1, 1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, 4, -1, 1, 1, -2, 0, 1, 1, 0, 2, -2, 0, 1, -2, 1, 1, 0, -2, -2, 1, 0, -1, -1, 6, -1, -1, 0, 0, 1, -1, -1, 1, 0, 1, -1, -1, 0, 1, -1, 0, 1, 0, -1, -1, 1, -1, 4, 1, -1, 1, 0, 0, 0, 1, -1, -2, 0, 0, 0, 0, -1, -1, 0, 1, 1, 1, 1, -1, 1, 4, -1, -1, 0, 1, -2, 0, 0, 0, -1, 0, -1, 0, -1, 1, 0, -1, 0, 0, -2, 0, -1, -1, 4, 0, -2, -1, 0, -2, 2, 0, -1, 0, 0, 1, 0, 1, 1, -1, -1, 0, 0, 0, 1, -1, 0, 4, 0, 0, 0, 0, 1, 0, 1, -1, 2, 1, 0, -1, -1, 1, -1, 0, 1, 1, 0, 0, -2, 0, 4, 0, 1, 1, -2, 1, -1, 2, 0, 0, -1, 1, 2, 1, 1, 1, 1, -1, 0, 1, -1, 0, 0, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1, 0, -1, 0, -2, 0, 0, 1, 0, 4, 0, -1, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, -1, 2, 1, 1, 0, -2, 0, 1, 1, 0, 4, -1, 0, -2, 1, -2, 0, -1, 2, 1, -1, 1, -1, -2, 0, -1, 0, 2, 1, -2, 1, -1, -1, 6, -1, 2, 0, 1, 0, 1, -1, -1, 0, 0, 1, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, -1, 2, 1, 1, -2, 0, 1, -1, 2, 0, 2, -1, -2, -1, 2, 0, 2, 1, 4, -2, 2, -2, 0, 0, 0, 0, -1, 1, 2, 1, 1, -1, 0, 1, 0, 0, 2, 1, 2, -1, -2, 4, -2, 2, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 1, 2, -2, 4, -2, -1, 1, 0, 0, -1, 1, 1, 0, 1, 0, 1, -1, -1, 0, 2, 1, 1, -2, -2, 2, -2, 6, 2, 0, -2, 1, 0, -1, 0, 0, -1, 2, 0, 0, 2, 2, -1, -1, -3, -1, 0, 1, -1, 2, 4, 0, -2, 1, 1, -1, 0, -1, 0, 1, 0, 1, 1, 0, -1, -1, -1, 2, 0, -1, 1, 0, 0, 4, -1, 2, -2, -1, 0, -1, 1, 0, 1, -2, -2, -1, 2, -1, 1, 1, 0, 0, 0, -2, -2, -1, 4, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, -2, -1, 1, -1, 0, 1, -2, 0, 0, 4, 0, -1, 1, -2, 0, -2, 1, 1, -1, -1, 0, 0, 0, 1, 0, 1, -1, -1, -1, 0, 0, 0, 4, 0, 0, 1, -2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 4, -1, 0, -2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, -1, 0, 1, 0, 0, -2, 1, 0, -1, 4, -1, 2, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 2, 1, 0, 0, 0, 0, -2, 0, 0, -1, 4, 0, -1, 0, 1, 0, -1, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, -2, 0, 1, -2, 2, 0, 4, 0, -1, 0, 0, 0, 0, -1, 1, 0, -1, 0, 1, -2, -1, -1, 1, 1, 0, 1, 0, -1, 0, 4, 1, 1, -1, 1, 0, -2, 0, 1, -1, 2, 1, -2, 0, 0, 1, 1, 0, 1, -1, 0, -1, 1, 4, 1, 0, 1, -1, -1, 0, 0, 0, 2, 0, -1, -1, -1, -1, 1, 0, 0, 0, 1, 0, 1, 1, 4, -1, 0, -2, 2, 2, -2, 2, -1, -1, 2, 1, 1, -1, 1, 0, 1, 1, 0, 0, -1, 0, -1, 6, 1, 2, 0, 1, 0, 1, -1, -1, -1, 0, 0, 0, 1, 0, 2, 1, -1, 0, 1, 1, 0, 1, 4, 1, 2, 2, 0, 1, -3, -1, 1, 1, 1, 0, 0, 1, 2, 1, -1, 0, 0, -1, -2, 2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 2, 0, 1, 0, -1, 0, -1, 2, 1, 0, 2, 6, 2, 2, 1, 0, -1, -1, 3, 1, 2, -1, 2, -2, -1, 0, 0, 2, -2, 2, 0, -1, 0, 2, 4, 2, -1, -1, 1, -2, 2, 0, 2, -2, 1, -2, -1, -1, 1, 2, 0, 1, -1, 0, 0, 2, 2, 4, 0, -1, -1, -1, 1, -1, 2, 0, 1, -2, -1, -1, 1, 2, 0, 1, -1, 1, -1, 1, -1, 0, 6, 2, -1, 2, 0, 1, 0, -1, 1, 0, 1, 2, 0, 0, 1, 1, 0, -2, 0, 0, -1, -1, 2, 4, -1, 2, 1, -1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, -1, 1, -1, -1, -1, 4, -2, -1, 0, -1, -2, 0, 1, -1, -1, 0, -1, 0, 0, 0, 0, 0, -1, -2, -1, 2, 2, -2, 4, -1, 0, -1, 1, 0, 1, 2, 2, 0, -1, 0, 0, 0, 0, 1, 3, 2, 1, 0, 1, -1, -1, 4, 0, 2, -1, 1, -2, 0, 0, 1, 2, 0, 1, -1, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 4, -1, 0, -1, 0, 0, 0, -1, 0, -1, -1, 1, -2, 0, 2, 2, 2, 0, 0, -1, -1, 2, -1, 4, 0, 1, -2, -1, -1, 1, 2, 1, 1, -1, 1, 0, -1, -2, 0, -1, 0, -2, 1, -1, 0, 0, 4, -1, 0, 0, 0, -1, 0, 0, -1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, -1, 1, -1, 4, 0, 1, 1, -1, 1, 0, 2, 0, 0, 0, -2, -2, -2, 0, 0, 1, 1, -2, 0, -2, 0, 0, 4, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, -1, -1, 1, 1, -1, 2, 0, 0, -1, 0, 1, 1, 4, 2, -1, -1, 1, 1, 1, 0, 0, 0, -1, -1, 2, 1, -1, 2, 0, 0, -1, 0, 1, 1, 2, 4, -1, -1, 1, 1, 1, 0, -1, 0, 1, 1, 0, 1, 0, 0, 1, -1, 1, -1, -1, 0, -1, -1, 4, 1, 0, 0, -2, 1, 0, 2, 2, 2, 0, 0, -1, -1, 2, 0, 2, 0, 1, -1, -1, -1, 1, 4, 0, 1, -1, 0, -1, -2, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 1, 0, 0, 4, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, -1, 1, -1, 2, 0, 1, 1, 0, 1, 0, 4, 1, 0, 1, 0, -1, -1, 0, -1, 0, 0, -1, 1, -1, 1, 0, 0, 1, 1, -2, -1, 0, 1, 4, -1, 0, -1, 0, 1, -2, 0, 0, 0, 0, -2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, 1, 1, 1, -1, -2, -2, -1, 1, 0, 0, 0, 1, -2, -1, -2, 0, 1, -2, 6, 2, -2, -1, 1, -3, -1, -1, 2, 1, 1, -2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 4, -2, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, 2, -1, 1, 0, 1, 0, 0, 2, 0, -2, -2, 4, 1, 1, 1, -1, 0, -1, 0, 1, 2, 1, -2, 0, -1, 0, -2, 0, -1, -1, -1, -1, 0, 1, 4, -2, 2, -1, 1, 1, 1, -1, 1, -1, 1, 0, -2, 0, 0, 1, 0, -1, 1, 1, 0, 1, -2, 4, -2, 0, -2, -1, 0, 1, 0, 1, -1, 1, 1, -1, -1, 0, -1, 1, 1, -3, -1, 1, 2, -2, 6, -1, 2, -1, 1, -2, 1, 0, 1, -2, -2, -2, -1, 1, 1, -2, 1, -1, 1, -1, -1, 0, -1, 4, 0, -1, -1, 1, 0, 1, 1, 0, 2, 0, 1, -1, 0, 2, -1, -1, -1, 0, 1, -2, 2, 0, 4, 0, 0, 0, 0, 1, 0, -1, -2, 1, 1, 0, 0, -1, -2, 2, 0, -1, 1, -1, -1, -1, 0, 4, 1, -1, 0, -1, 1, 1, 0, 1, 1, 1, 0, 0, -2, 1, 0, 0, 1, 0, 1, -1, 0, 1, 4, 0, -1, -1, 1, 0, -1, 0, 0, 2, 0, -1, -1, 1, 0, 1, -1, 1, -2, 1, 0, -1, 0, 4, -1, 2, -1, 1, 0, 1, 1, 0, -1, 1, 1, -2, -1, 2, 1, 0, 1, 0, 0, 0, -1, -1, 4, 0, -1, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, -1, -1, 2, 0, 4, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, -2, 1, -1, 1, 1, 0, 1, 1, -1, -1, -1, 4, -1, 0, -1, 2, 1, 0, 1, 0, 1, -1, 0, 0, 1, -2, 0, -1, 1, 0, 1, 0, 0, -1, 4, 1, 0, 0, 0, 0, 1, 1, 1, 1, -1, -2, 1, -2, 2, -2, 0, -1, 0, 0, 0, 0, 1, 4, 0, 0, -1, 1, 2, -2, 1, 0, 0, 0, -1, -2, 0, 1, 1, 0, 1, -1, 0, -1, 0, 0, 4, 1, 0, 0, 0, -1, 2, 1, -2, 0, -1, -1, 1, 1, 1, 0, 1, -2, 0, 2, 0, 0, 1, 4, 0, 0, 1, -2, 1, 0, 0, 1, 0, 1, -1, 0, 1, 2, 0, -1, 0, 1, 0, -1, 0, 0, 4, 1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1, 4, -1, 1, 1, 2, -1, -1, 1, -2, 2, -1, 0, -1, 1, 0, 1, 1, 1, 2, 0, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -2, 0, 2, 1, 1, 1, 0, -2, 0, -1, 0, 0, 2, -1, 1, 1, 0, 0, 1, 4, 0, -1, 0, 1, 2, 1, 0, 0, 1, 0, -1, -1, -1, 1, -1, 0, 0, 0, 1, -1, 2, 0, 4, -2, -2, 1, 2, 0, 1, 0, -1, -2, -1, 0, 1, 1, 1, 0, 0, 0, 1, 1, -2, -1, -2, 4, 2, -1, -1, 0, -1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -2, 0, -2, 2, 4, -1, 0, -1, -2, -1, 0, 1, 1, 1, 0, 0, -2, 0, -1, 0, -1, -1, 0, 1, 1, -1, -1, 4, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, 0, 1, 1, -1, 0, 0, 2, 2, 2, -1, 0, 0, 6, -1, 0, 0, 1, -1, -2, -2, -1, 2, 0, 1, 1, -1, 2, -1, 1, 1, 0, 0, -1, -1, -1, 4, 2, 1, 1, 0, 0, -1, 0, -1, 1, -2, 0, 2, 0, 1, 1, 0, 1, -1, -2, -1, 0, 2, 4, 2, 0, -1, -1, -2, -1, -1, 1, -1, 1, 1, 1, 0, 1, 0, 0, -1, -1, -1, 0, 1, 2, 4, -1, 0, -1, -1, -1, -2, 2, -1, 0, 1, 1, 1, 0, 1, -1, 1, 0, 0, 1, 1, 0, -1, 4, 0, 0, -1, -1, 0, 0, 1, 2, -1, 0, -1, -2, 0, -2, 1, 1, 0, -1, 0, -1, 0, 0, 4, -1, 1, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, -1, 0, 1, 0, -2, 0, -1, -1, 0, -1, 4, 1, 1, -1, 0, -1, 0, 1, -2, 0, -1, -1, 0, 0, 1, 1, -2, -1, -2, -1, -1, 1, 1, 4, 2, 0, -1, 1, -1, -1, -1, 0, 0, -1, 1, -1, 0, 1, -1, 0, -1, -1, -1, 0, 1, 2, 4, 0, 0, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, 0, 2, -1, -1, -2, 0, 0, -1, 0, 0, 4, -1, 1, -1, -1, 1, 0, 2, -1, 1, -1, -2, 0, 0, 1, 1, 2, 0, -1, 0, -1, 0, -1, 4, -1, 1, 1, 0, 2, -1, 0, 0, 0, 0, 1, 1, -2, -1, -1, 1, 1, -1, 1, -1, 1, -1, 4, 1, -2, 1, -1, 1, 0, 0, 0, -1, 1, 1, 0, 1, 0, 2, -1, 0, -1, -1, -1, 1, 1, 4, -1, 0, -1, 1, 0, 0, 0, 0, -1, -1, 2, 1, 1, -1, -1, 1, -1, 0, -1, 1, -2, -1, 4, 0, 1, 0, 1, 1, 0, -1, 0, 2, 0, 1, 1, 0, 0, -2, -1, -1, 1, 0, 1, 0, 0, 4, 0, 0, -1, 1, 0, -1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 1, 0, 2, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, -2, 1, 0, 2, -1, -1, -1, 0, 0, -2, 1, 0, 0, 0, -2, -2, -1, 1, 2, 6, 2, 2, 0, 3, 1, 1, -1, -3, -3, -1, -2, 0, 0, -1, -1, -2, -2, 0, 0, 3, 0, 2, 4, 0, 1, 1, -1, 0, 1, -2, -2, 0, -2, 1, 1, -2, 0, 0, -1, 1, -1, 0, 0, 2, 0, 4, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, -2, 0, 1, 0, 4, -1, 0, -1, 0, 0, 1, 1, 0, 2, -1, -1, 0, 1, 1, 2, 1, 0, 1, 3, 1, 0, -1, 4, 0, 1, 0, -1, -3, -1, -1, 0, 0, -1, -1, -2, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 4, 1, -2, 0, 0, -1, 0, 0, 0, 2, -2, -2, 0, 0, 0, 1, 2, 1, 0, -1, -1, 1, 1, 4, -2, -1, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 1, -1, -1, 1, 1, 0, 0, -2, -2, 4, 1, 0, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, -2, -1, -3, -2, 0, 0, -1, 0, -1, 1, 4, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, -2, -1, -3, -2, 0, 1, -3, 0, 0, 0, 2, 6, 2, 2, 1, -2, 1, 2, 2, 1, 1, 2, -1, 0, -1, 0, -1, 1, -1, -1, 0, 0, 0, 2, 4, 0, 0, 0, -1, 2, 2, 0, 0, 0, 0, 0, -2, -2, -1, 0, -1, 0, 0, 0, 1, 2, 0, 4, -1, -1, 0, 0, 1, 1, -1, 1, -1, -2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, -1, 4, -2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, -2, 0, -1, -2, 4, 0, 0, 0, 0, -1, -2, 0, 0, -1, -2, 0, -1, -1, 2, 1, -2, 1, 1, -1, 0, 0, 0, 4, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, -2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 4, 2, 1, 0, 0, 0, 0, -2, 0, 0, 1, -2, -2, -1, 1, 1, 2, 2, 1, 0, 0, -1, 2, 4, 1, 0, 0, -1, -2, -2, -1, 1, 1, -1, 0, -1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 4, 0, 0, -1, -2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, -1, 2, -1, 0, 0, 0, 0, 4, 2, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, -2, 0, 0, 0, 0, 2, 4, 0, 1, 3, 0, 1, 0, 1, 1, 1, -2, -2, -1, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 1, -1, -1, 2, -1, -1, -1, -1, 1, 2, 0, 0, -1, 0, -2, 0, 1, -2, 0, 4, -2, 1, 0, 1, -2, 0, -1, -2, -2, -2, 0, 1, 1, -2, 0, -2, 0, -2, 0, -2, 1, -2, 4, -2, 1, -1, 1, 0, -1, 1, 0, 1, 0, -1, 0, 1, 0, 1, -1, 1, 0, 1, -2, 1, -2, 4, 0, 2, -1, -1, 0, -1, 0, 1, 0, -1, 1, -1, 0, 0, 2, -1, 0, 0, 1, 0, 1, 0, 4, 1, -2, 1, -1, 1, -1, 0, -1, 1, -1, 0, -1, -1, -1, 0, 1, -2, -1, 1, -1, 2, 1, 6, 1, -1, -2, -1, -2, 2, -2, 2, -1, 1, -2, -2, 0, 1, 2, -1, -1, -2, 1, -1, -2, 1, 6, 0, 0, 0, 2, 3, -1, 1, -2, 2, 0, 1, 0, 2, 0, 3, 2, 0, 0, -1, 1, -1, 0, 4, 1, -1, 0, -1, 0, 1, -1, 0, -1, 0, -2, 0, 1, 0, -1, -1, -1, 0, -1, -2, 0, 1, 4, 1, 1, 0, 0, -1, 0, 0, 1, 1, 1, 0, -1, 1, -1, -2, 1, -1, 1, -1, 0, -1, 1, 4, 1, 1, -1, -1, -1, 1, 1, 0, 0, 1, -1, 0, -1, -2, 0, 0, -1, -2, 2, 0, 1, 1, 4, 1, 1, -1, -1, 0, 1, 2, 1, 0, -1, 2, -1, -2, 1, 1, 0, 2, 3, -1, 0, 1, 1, 6, 0, 1, -1, 2, -1, 0, 1, 2, 1, 0, 1, 0, 0, 0, -1, -2, -1, 0, 0, -1, 1, 0, 4, 0, 2, -1, 0, 1, 0, -1, 0, -1, 2, 1, -1, -1, 1, 2, 1, 1, -1, -1, -1, 1, 0, 6, -2, 0, -1, -1, -1, 0, 1, -3, 0, 1, 0, 1, -1, -1, -2, -1, 0, -1, -1, -1, 2, -2, 4, -1, 0, 0, 1, -1, 0, 0, 0, -2, 1, -1, 0, 1, 2, 0, 0, 1, 0, 2, -1, 0, -1, 4, -2, 0, -1, 2, 1, 1, -1, 0, 0, 0, -1, -2, 0, -1, 1, 1, 1, -1, 0, -1, 0, -2, 4, 1, 1, -1, -2, 1, 0, -2, 1, 0, -1, -2, 1, 0, 1, 0, 2, 0, 1, -1, 0, 0, 1, 4, 1, 0, -1, 2, -2, 0, -1, 2, -1, 0, 0, -2, 1, 0, 1, 1, 0, -1, 1, -1, 1, 1, 4, -1, -1, 1, 0, -2, 1, -1, 0, 1, 2, 0, 0, 1, 0, 2, -1, 0, -1, 2, -1, 0, -1, 4, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, -1, -1, -1, 1, 0, 1, 0, 1, -2, -1, -1, 2, 4, -1, -2, -2, 1, 0, -2, -1, 3, 0, 1, 0, 2, 0, -1, -3, 0, 1, 1, 2, 1, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, -1, 1, -1, 0, -1, 2, -1, 0, 1, -1, -1, 1, 1, 0, 1, 0, -1, -1, 0, 4, -2, 1, -1, 0, 1, 0, 2, 0, 0, -2, -1, -1, -1, 1, 0, 0, 1, 0, 1, 0, 1, -2, 4, -1, -1, 1, -1, -1, -2, 1, -1, 2, 2, 1, 0, 1, 1, 1, -1, -1, -2, -1, -1, 1, -1, 4, 1, 1, 0, -1, 0, 1, 0, 0, -1, -1, 1, 1, 1, 0, 1, 0, 1, 1, -1, -1, -1, 1, 4, -1, 1, 1, -1, -1, 1, 0, 0, -1, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 1, -1, 4, -1, -2, 0, 1, -2, 1, 0, -1, -1, 1, 0, -1, 0, 1, 0, -1, -1, 1, -1, 0, 1, -1, 4, 0, 1, -1, 0, -1, 1, 0, 0, 0, -2, 1, 0, -1, -1, 0, 0, 0, -1, -1, 1, -2, 0, 4, 1, -1, 0, -1, -1, -1, 1, -1, -1, 0, -1, 0, 1, 1, -1, 2, -2, 0, -1, 0, 1, 1, 4, -1, 0, -1, -1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 1, 1, -1, 1, -1, -1, -1, 4, -1, 1, 1, -1, -1, 2, 1, 1, 2, -1, -1, -1, -1, 0, -1, 0, 1, -2, 0, 0, 0, -1, 4, -1, 0, 1, 0, -1, 1, 1, 1, -1, 0, 0, 0, -2, 2, 0, 0, 1, -1, -1, -1, 1, -1, 4, 0, 1, 0, 1, 0, 1, -1, -1, -1, -1, 1, -1, 2, -1, 0, 0, 1, -1, -1, 1, 0, 0, 4, 0, -1, 1, 0, 1, 0, -1, -2, -1, -1, -1, 1, -1, -1, -1, 0, -1, -1, -1, 1, 1, 0, 4, 1, -1, 0, 1, 0, -1, 0, 0, -1, -1, 0, 1, 1, -1, 0, 1, -1, -1, 0, 0, -1, 1, 4, -1, 0, -1, -1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, -1, 0, 2, -1, 1, 1, -1, -1, 4, 1, 1, 0, -1, -1, -1, 1, 0, 1, 1, -1, 0, -2, -1, -1, 1, 1, 0, 0, 0, 0, 1, 4, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, 0, 1, 1, 1, 1, 1, -1, 1, 0, 4, 1, -2, -1, -1, 1, 1, -1, 1, -1, 0, 0, -1, 0, 2, 1, -1, 0, 0, -1, 0, 1, 1, 4, -1, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, -2, -1, 4, 2, 1, -1, 1, -2, 1, 0, 0, -1, 1, 1, -1, 0, -1, -2, 0, 1, -1, 0, -1, 0, 2, 4, 1, -1, 0, -1, 1, 0, -1, 0, 1, 0, -1, 0, -1, -1, 0, 2, -1, 1, -1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -2, 1, -1, 0, 1, -2, 1, 1, 0, 2, 0, 0, -1, 1, 1, 0, 2, 1, 4, -1, 0, 0, 0, -1, 1, -1, 2, -1, -1, 0, -1, 2, -1, 1, -2, 1, 2, 1, 0, -1, -1, 4, -1, 1, 1, 0, 0, -1, 0, 0, 0, -2, 2, -2, -1, -2, 0, -1, 0, 1, -1, -1, 0, -1, 4, -2, -1, 0, -1, -1, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0, 1, -2, 4, 1, -1, 1, 1, 0, 0, 0, 0, 1, 1, 0, -2, 0, -1, 0, 0, -1, -2, 0, 1, -1, 1, 4, -2, 1, 0, 0, 2, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, -2, 1, -1, 0, 0, -1, -2, 4, -1, 1, -1, 0, 0, 1, 1, 0, 1, 0, 1, -1, -1, 0, 1, -1, 1, 0, -1, 1, 1, -1, 4, 0, -1, 1, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, -1, -1, -1, 1, 0, 1, 0, 4, -1, 0, 0, 2, 1, 1, 2, 0, 1, -1, -1, -1, 0, 1, 2, 0, 0, 0, 0, -1, -1, -1, 4, -1, 1, -1, 0, 1, -1, 0, -2, 1, 2, 0, 0, -2, -1, 0, 0, 0, 2, 0, 1, 0, -1, 4, 0, -1, -1, -1, -1, -1, 1, 0, -1, -1, -1, 1, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 4, 0, 1, 0, 0, -1, 1, 0, -1, 0, 1, 1, 0, -2, 0, 0, -1, 1, 0, 2, -1, -1, 0, 4, 0, 1, 2, 1, 0, -1, -1, 0, 1, 0, -1, 2, -1, 1, 0, 1, 0, 1, 0, -1, 1, 0, 4, -1, 1, -1, 1, -2, -1, 1, 0, 2, 2, -2, 0, 1, -1, 0, 0, 1, 1, -1, 0, 1, -1, 4, 0, 0, -1, 1, 1, -1, 1, 0, -1, -1, 1, 0, -1, 1, -1, 2, -1, -1, 0, 2, 1, 0, 4, 1, 1, -2, -1, 0, 1, 0, 1, -2, 1, -2, -1, 0, 1, 0, 0, -1, -1, 1, -1, 0, 1, 4, 0, 1, 0, 0, 1, -1, -2, 0, 0, 0, 0, 1, 1, 1, -2, 1, 1, 0, 1, -1, 1, 0, 4, -1, -2, 0, 0, 1, 1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 0, -1, -2, 1, -2, 1, -1, 4, 1, -1, 1, 1, 2, 0, 0, 0, 0, -1, -1, -1, 2, -1, -1, -1, -1, 1, -1, 0, -2, 1, 4, 1, 0, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, 0, 0, -1, 1, 4, -1, 2, 0, -1, 1, -1, -2, 1, -1, 0, 0, -1, 1, 1, 0, 1, 1, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, -1, 1, 1, 2, 1, 2, 2, 1, 1, 1, -1, 0, 1, -2, 0, -2, -1, -2, 1, 4, 2, -2, -2, 1, 0, 1, 1, -1, 2, 0, -1, 0, -1, 1, 2, 1, 1, 0, 1, -1, 1, 2, 4, 0, -2, 0, 1, 0, 0, 1, 2, 0, 1, -1, 0, 1, 1, 0, 1, -1, -1, 0, -1, -2, 0, 4, 0, 0, 1, -2, -1, 0, 0, 0, 1, -1, 1, 1, -2, 0, -1, -1, -1, 1, -1, -2, -2, 0, 4, -1, -1, 0, -1, 1, -1, 1, 0, 1, 1, -2, -1, 1, -1, 2, 0, 1, 1, 1, 0, 0, -1, 4, -1, 0, 0, 1, 0, 0, 1, -1, 0, 2, -1, 1, -1, -2, -1, -2, 1, 0, 1, 1, -1, -1, 4, 1, 1, -1, 0, 1, 0, 0, 1, 1, 0, -2, 1, 0, 0, 1, 2, 1, 0, -2, 0, 0, 1, 4, 2, 0, 0, 1, -1, 2, 0, 0, 1, -1, 1, 0, 1, -1, 1, 1, 0, -1, -1, 0, 1, 2, 4, -1, -1, -1, -1, 1, 1, 1, 2, -2, 2, 1, 1, -1, 2, -1, 1, 0, 1, 1, -1, 0, -1, 6, 2, 0, 3, 1, 0, -1, -1, -1, -2, -1, -3, -1, 2, 2, 2, 0, -1, 0, 0, 0, -1, 2, 6, 0, 1, 1, -2, -1, 1, 1, 0, -2, -1, -1, 1, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, 4, -1, 1, 0, 0, -1, 1, -1, -1, 0, 0, 1, -1, 1, 1, 0, 1, 0, -1, -1, 3, 1, -1, 4, -1, 0, 0, -1, -1, -1, -1, -2, 0, 1, 0, -1, -1, 1, -1, 0, 2, 1, 1, 1, 1, -1, 4, 0, -1, 0, 0, 0, 0, 1, -1, -1, -1, 0, 1, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 4, 1, -1, -1, 0, 1, 0, 1, 0, 1, 1, 1, -2, 2, 1, 0, 1, -1, -1, 0, 0, -1, 1, 4, 0, 0, 0, -1, 0, 0, 1, 2, 1, -2, -1, -1, 0, 1, 2, -1, 1, -1, -1, 0, -1, 0, 4, -1, 2, 1, 1, 0, -2, 1, 0, 0, 1, 1, -2, -1, -2, -1, 1, 1, -1, 0, -1, 0, -1, 6, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1, 1, 1, 2, -2, 0, -1, -1, 0, 0, 0, 2, 0, 4, 0, 1, 0, -2, 0, -1, -1, 2, -2, 0, 0, 1, -1, -2, -1, -1, 0, 1, -1, 1, 0, 0, 6, 2, 2, -1, 1, -1, -1, 0, -1, 0, 1, 1, -3, -1, 0, -2, 1, 0, 0, 1, 1, 1, 2, 4, 0, -2, -1, 0, 1, 1, -2, 1, -1, -1, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 1, -1, -1, 1, 1, 1, -2, 1, 1, 1, 1, -1, 0, 1, 1, -1, 0, 1, 4, 0, 1, 0, 0, -1, 0, 2, 0, 1, 0, 2, 0, 0, 1, -2, 1, 2, 0, 0, 0, -1, 0, 4, -2, 0, 0, -1, -1, 0, 1, -2, 0, -1, 0, 0, 1, 2, -1, 1, 0, 0, 1, 2, 1, -2, 4, 0, 1, 0, 1, 0, 1, 1, -1, 1, 0, 0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 4, -2, 0, 1, 0, 1, 0, 1, -1, -2, 1, -1, 0, -1, -1, -2, -1, 1, 1, 0, 0, 1, -2, 4, 1, -1, -1, 0, 1, -1, 1, 2, -1, 0, 1, -1, 1, 2, 1, -1, -1, -1, -1, 0, 0, 1, 4, 0, -2, -2, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, -2, -1, 0, -1, 1, 1, -1, 0, 4, 1, 0, 1, 0, 0, -2, 1, 0, 0, 0, -1, -2, -1, -1, 1, 2, 0, 0, 0, -1, -2, 1, 4, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, -2, 0, 1, 4, -1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 1, -2, 1, 0, 1, 1, 1, 1, -1, 4, -1, 2, 0, 0, 0, -1, 0, 0, 0, 0, -2, -2, 0, 0, -1, 1, -1, 0, 0, -1, -1, -1, 4, -1, -1, -1, 0, -1, 0, -1, -1, 1, 1, 1, 2, -1, 1, -1, 1, 0, 0, 1, -1, 2, -1, 4, 0, 0, 0, -1, 1, 2, 0, 0, -1, 1, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, -1, 0, 4, -2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, -1, 0, -2, 4, 0, 0, 0, 0, -1, -2, 0, 1, 1, 1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 1, -1, -2, 2, -1, 0, 1, 1, 0, -1, 1, -1, -1, -1, 0, 0, 0, 4, -1, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 4, 1, 0, 0, -1, 1, 2, 1, 1, -1, 1, 0, -1, 0, 0, 0, -1, 2, 0, 0, 1, 0, 1, 4, 0, 0, 0, 1, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, -1, 0, 2, -1, 0, 0, 0, 0, 4, 2, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 2, 4, 0, 0, 0, 1, 0, 1, -1, -2, -1, 0, 1, -2, 1, -1, 0, 0, 1, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -1, 1, 1, 2, 1, 0, -1, -1, -1, -2, -1, -2, 1, -1, 1, 0, -1, 0, -1, -1, 4, -1, 2, -2, 0, -2, -2, 1, 0, 2, -1, 1, -1, 1, -1, 2, -2, -1, 2, 1, 1, 1, -1, 4, -1, 1, 1, 1, 2, 0, -1, -1, -1, 1, -1, 1, -1, 0, 1, 1, -1, 1, 1, -1, 2, -1, 4, 0, -1, -1, -2, 1, -1, 0, 0, 2, 0, 2, -1, 0, 0, -1, 0, 1, 1, 1, -2, 1, 0, 4, -1, 1, 1, -1, -1, -2, 1, -1, 1, 1, 1, -2, 2, 0, -2, -1, 1, 1, 0, 1, -1, -1, 4, 0, 0, 1, 0, 1, -2, 1, -2, -2, 1, 1, -1, -1, 1, 1, -1, 2, -2, 1, -1, 1, 0, 4, 2, -1, -1, -1, 0, 0, 0, -2, 0, -2, 1, 1, -1, -1, -1, 1, -2, 2, -2, 1, 0, 2, 4, 0, 0, -1, 1, 0, 1, -1, -1, -1, 1, 2, -1, -1, -1, 0, 1, 0, 1, -1, 1, -1, 0, 4, -1, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 4, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, -1, -1, 2, -1, 0, -2, 1, -1, -1, 0, 0, 4, -1, 1, 0, 0, 0, 1, -2, -1, 2, 0, 0, -1, -1, -1, 0, 1, -2, 0, 1, 0, 0, -1, 4, -1, 2, 0, 0, -1, 0, 0, -1, -1, 0, -2, 1, 1, 2, -1, 1, 0, 0, 1, 0, 1, -1, 6, -1, 2, -2, 1, -1, 1, 1, 1, 1, -1, -1, -1, 0, 1, -2, 0, 1, 0, 0, 0, 2, -1, 4, 0, 0, -1, 1, 0, -1, -1, 0, -2, 1, 1, 2, 1, -2, -2, -1, 0, -1, 0, 0, 2, 0, 6, -2, 0, 0, 1, 0, 0, 3, 1, -1, -1, -1, 1, 1, 0, -1, -1, 0, 0, 0, -2, 0, -2, 4, 0, 0, -2, 0, 0, 0, -1, 2, 0, 0, -2, 1, -2, -1, 2, 1, 1, -1, 1, -1, 0, 0, 4, -1, 0, 1, 1, 1, 1, -2, 1, 0, 2, -1, 1, 1, 0, 0, -2, 0, -1, 1, 0, 0, -1, 4, 1, -2, 0, 0, 0, -1, 1, -1, 0, -1, 1, 2, 0, 1, -1, 0, 1, 0, 1, -2, 0, 1, 4, -1, -1, 0, -1, 2, -1, 0, -2, 1, -1, -1, 0, 0, 2, -1, 1, -1, 0, 0, 1, -2, -1, 4, 1, 0, 0, 1, 1, 1, -1, 1, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, -1, 1, 4, 0, -1, 1, 1, 1, 1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 3, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, -2, 1, 1, -1, -1, -1, 0, 1, 0, 1, -2, 0, 1, -1, 0, 1, -1, 2, -1, 4, 1, -1, 0, -2, -1, 1, -1, 0, 0, -1, 1, -1, 2, 0, -2, 1, -1, 0, 1, -2, 2, 1, 4, 0, -2, 1, 0, -1, 0, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, -1, 0, 4, 1, 1, -1, 1, 1, 1, 1, -1, 0, -1, 1, 0, -1, 0, -1, -1, 1, -1, -2, 0, -2, 1, 4, 0, -1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 1, -2, 1, 1, 0, 4, 1, 0, 2, 0, -1, 1, 1, 0, -1, 0, 0, -2, -1, 1, -1, 1, 1, -1, 0, -1, -1, 1, 4, 0, -1, 1, 1, 0, 1, -1, -2, 0, 1, 0, 0, 0, 0, 1, -1, 1, -1, 1, 1, 0, 0, 4, 0, 2, 1, 0, 1, -2, 1, 0, -1, 1, -1, -1, 1, -1, -1, -1, 0, 1, 1, 2, -1, 0, 4, -1, -2, 0, 0, 0, 1, -1, -1, -1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 1, 2, -1, 4, 2, -1, 1, -1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, 0, -1, 1, 1, -2, 2, 4, 0, 0, -1, 0, 0, 0, 1, 0, -1, 1, -1, 1, -1, -1, -1, 1, 1, 0, 0, 0, -1, 0, 4, -1, 1, 0, 0, 1, 0, 0, 0, -2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, -1, 4, -2, 1, 1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -1, 0, 0, -1, -2, 0, -1, -1, 1, -2, 4, -2, -1, 1, -2, 1, 2, -2, 1, -2, 2, -1, 1, 2, -1, -2, 1, 1, -1, 0, 0, 1, -2, 6, 2, -2, 1, -1, -1, 2, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 2, 4, 0, 0, 1, 0, 1, 1, 1, -2, -1, -1, 0, 0, 1, -1, -1, 0, 0, 1, 0, 1, -2, 0, 4, 0, 1, 0, -1, 2, -1, 1, -1, 0, 0, -2, 0, 1, -1, 0, 1, 0, 0, -2, 1, 0, 0, 4, 0, -2, 1, -1, 0, -1, -1, -1, -1, -1, 0, -1, -1, 1, 0, 0, -1, 1, -1, 1, 1, 0, 4, 0, 0, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 2, -1, 0, 0, -2, 0, 4, 0, 1, -1, 1, 0, 1, 0, -1, 0, 1, 0, 1, 1, -2, 1, -2, 2, 1, -1, 1, 0, 0, 4, -1, 2, -2, 0, -1, 0, 1, 1, -1, 0, -1, -1, 1, 0, 1, -1, 1, 2, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 1, -1, 1, 0, 0, 1, 1, 1, -2, -2, 2, -1, 1, 1, -1, -1, -1, 0, 1, 4, -2, -1, 2, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, -2, -1, 0, 0, 0, 1, -1, -2, -2, 6, -1, 0, 0, -1, -2, -2, 0, -2, -2, 1, 1, -2, 2, 2, -2, 2, 2, -1, 1, -1, -1, -1, 4, 0, -1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 2, 0, 0, 4, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 1, -1, -1, 0, 0, -1, 0, 4, -1, -1, -1, -2, 1, -1, 1, 1, -2, 0, -1, 1, -1, -1, 2, -1, 1, -1, -1, 0, -1, -1, 4, -1, -1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, -2, 1, 0, -1, -1, 4, 1, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 1, -2, 1, 1, -1, -1, 1, 4, 1, 0, 0, -1, -1, 0, -2, -1, 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, -2, 0, 0, 1, 4, -1, 1, -1, 0, 1, -1, 0, 1, 0, -1, -2, 0, 1, 0, -2, 1, 0, 1, 0, 0, 0, -1, 4, 1, 0, -1, 0, -1, -1, 2, -1, -2, 0, -1, 1, 0, -2, 1, -1, -1, 1, 1, 0, 1, 1, 4, -1, -1, 1, 0, -1, 1, -1, -1, 0, 1, -2, 0, 1, 1, 0, 1, 0, 0, -1, -1, 0, -1, 4, 2, -1, 1, 0, -1, 0, 0, 1, 0, -2, 0, 1, 1, 0, 1, 0, 0, -1, 0, -1, -1, 2, 4, -1, 1, 0, 0, 0, 0, 1, 0, 2, 1, -2, 0, 0, -2, 2, 1, 0, 1, 0, 1, -1, -1, 4, -1, 0, 0, 1, 0, -2, 1, -1, -2, 2, 0, -1, 0, 1, 0, -2, -1, -1, 0, 1, 1, -1, 4, 2, -1, 0, 1, 0, 2, 1, -1, 2, 0, 1, -1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 2, 4, -1, 0, 1, 0, 1, 1, 0, -2, 1, 0, 1, 0, 0, 0, 1, 2, 1, -1, 0, 0, -1, -1, 4, -1, -2, 0, -1, -1, 0, 2, -1, -1, -1, 0, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, -1, 4, 1, -2, 1, -1, 0, 2, -1, 0, -1, 0, 0, 0, -1, -2, -1, 0, 0, 0, 1, 1, -2, 1, 4, 1, 1, -1, 1, -1, 0, 1, 2, 0, -1, 1, -2, 0, 0, 1, 1, -2, 0, 0, 0, -2, 1, 6, -1, 0, -1, 1, -1, -1, -1, 2, 0, -1, 0, -1, 1, 0, 0, 1, 2, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 1, -1, -2, -1, 1, 2, -2, 0, -2, 0, 2, 2, -2, -2, 0, 2, 1, 1, 2, 4, 0, -1, 2, -1, -1, -1, 0, 0, 0, -1, 0, -1, 0, 1, -1, 0, -1, 0, 0, 1, 2, 0, 4, 0, -1, -1, -2, -1, 0, 2, 0, 1, -2, 1, 2, 0, 0, -2, 0, 2, 0, 1, 1, -1, 0, 4, -1, -1, 0, 0, 2, 1, -2, -1, -1, -1, 1, 0, 0, -1, 0, 1, 1, 1, 1, 2, -1, -1, 4, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, 1, -1, -1, -1, -1, -1, -1, 4, -1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, -2, -1, -2, 0, 1, -1, 6, 1, 0, 0, 0, -1, 2, -1, -2, 0, 1, 0, 1, 0, -1, 0, -1, -1, -1, 0, -1, 0, 1, 4, 1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 2, 0, -1, 0, 1, 4, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, -1, 0, 0, 0, 4, -1, 0, -1, 1, 2, 1, -1, -2, 0, 2, 0, 1, -2, 0, 0, -2, 0, -1, 0, 1, -1, -1, 6, 2, 1, 2, -1, -2, 2, 1, 0, -1, -2, -1, 0, -1, 1, -1, 0, 0, -1, 0, -1, 0, 2, 4, -1, 2, 0, 0, 0, -1, 0, 0, 0, -1, -2, 0, -2, -1, 0, 0, 2, 1, 0, -1, 1, -1, 4, -1, -1, -1, 1, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, 0, -1, 0, -1, 1, 2, 2, -1, 4, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 1, 0, 0, -2, -1, 0, 2, -1, 0, -1, 0, 4, 0, -1, -2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, -2, 0, -1, 0, 0, 4, -1, -1, -1, 1, 1, 1, -2, -1, 0, 0, -1, 0, 1, -1, 0, -1, 2, 0, 1, 0, -1, -1, 4, 1, 0, -1, -1, 1, -2, 0, -2, -1, 0, 1, 0, 0, 0, -2, 1, -1, 1, 0, -2, -1, 1, 4, 0, -2, 0, -1, 0, -1, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 4, 0, 0, -1, 2, 0, 2, 1, 0, -1, 0, 0, 0, 2, -1, 0, -1, 0, 2, 1, -1, -2, 0, 4, 1, 1, 1, 0, 0, 1, 1, 0, -1, 0, 1, 0, -2, 0, -1, 0, 0, 1, -1, 0, 0, 1, 4, -1, 1, 1, 1, 1, -1, 0, 0, -1, 0, 1, -1, -1, 0, -1, 1, 1, 1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, -2, 1, -2, -1, -1, 1, 0, -1, 0, 1, -2, 4, 1, -1, -1, 0, 1, 1, 1, 0, 1, -1, 0, -1, 2, 0, 2, -1, 0, 1, 1, 0, 0, 1, 4, 1, -2, 0, 2, 2, 0, 0, 0, 0, -2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, -1, 1, 4, -1, -1, 0, 1, 1, -1, 0, 2, -2, 2, 1, 0, 1, 0, -1, 0, -1, 2, -1, -1, -2, -1, 6, 2, -1, 0, -1, 2, -2, 1, 0, 0, 1, 2, -2, 2, 2, -2, 0, -2, 0, 0, 0, -1, 2, 4, -1, 1, 1, 2, -1, 0, -1, 0, 1, 1, -2, 1, 0, -1, -1, 0, 1, 1, 2, 0, -1, -1, 4, 1, 0, 0, 0, 0, -1, 0, 0, 1, 2, 0, 1, 0, 1, 0, -1, 1, 2, 1, 0, 1, 1, 4, 1, 0, 0, 0, -2, 1, 3, 2, 1, 0, -1, 0, 0, 1, 1, 1, 0, 1, -1, 1, 0, 1, 4, 0, 0, 0, -2, 1, 1, 0, 0, 0, -1, 0, -1, 2, 0, 0, 0, -1, 2, 2, 0, 0, 0, 4, 0, 1, 0, -1, 1, 1, -1, 2, 1, -2, -1, -1, -1, 1, 0, 0, -2, -1, 0, 0, 0, 0, 4, -1, 2, -2, 0, -1, 1, -2, -1, 2, 0, 1, 1, -1, 0, 2, 1, 0, 0, 0, 0, 1, -1, 4, -1, 1, 1, 0, 0, 2, 1, -1, -1, 0, -2, 0, -2, -2, 0, -1, -1, -2, -2, 0, 2, -1, 6, -3, -1, -1, 0, -2, 1, 2, 0, -1, 1, -1, 1, 2, 0, 0, 0, 1, 1, -1, -2, 1, -3, 4, 0, 1, 0, 1, -1, -1, 0, 1, -2, 2, 2, 1, 1, 1, 0, 3, 1, 1, 0, 1, -1, 0, 6, 1, 1, 0, 1, 0, -1, 1, -1, 0, 1, 0, 2, 1, 1, 2, 0, 1, -1, 0, -1, 1, 1, 4, 1, 1, 0, -1, 0, 0, -1, 2, 2, 1, -2, -2, 2, 1, 0, -1, 1, 0, 0, 0, 1, 1, 4, -1, 0, 1, 1, 1, 1, -1, 0, 0, 2, 1, 0, 0, 0, 2, -2, 2, -2, 1, 0, 1, -1, 4, 1, -2, 0, -1, 0, 0, 0, -1, 2, 0, 1, -1, -1, 1, -1, 1, 1, -1, 1, 0, 0, 1, 4, -1, 0, -1, -1, 1, 0, 0, -2, -1, 0, 0, 0, -2, 2, -1, 2, -1, 0, -1, 1, -2, -1, 4, 1, 1, 0, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 1, 4, -1, 1, 0, 1, 2, -2, 0, 0, 1, 2, -1, 1, 0, -1, 1, 1, 0, 1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 0, 0, 2, -2, 1, 1, 0, 0, 1, -1, 1, 1, -1, -1, 0, -2, -1, 1, 0, 1, 4, -2, 1, 0, 1, 0, 1, -1, 0, -1, 1, 0, -1, 0, -1, 0, -1, -1, -1, 0, 0, -2, -2, 6, 1, 1, 0, 0, 0, 0, 0, 1, 0, -1, -2, 1, 3, 1, 2, 1, 3, -1, -2, 0, 1, 1, 4, -1, 1, 1, 2, -1, -1, -1, 2, 0, -1, -1, -1, 1, -1, 0, -1, -1, -2, 0, 0, 1, -1, 4, 0, 0, -2, -1, -1, 2, -2, -1, 0, 1, 1, -1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 4, -2, 1, -1, -1, -1, 1, -1, -1, 0, -1, 0, 0, -2, -1, 0, 0, -2, 0, 0, 1, 0, -2, 4, -1, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 2, -1, 0, 0, 1, 1, 0, 2, -2, 1, -1, 4, 1, 0, -2, 2, 1, 0, -1, -1, 0, -1, 0, -1, 0, -2, 1, -1, 0, -1, -1, -1, -1, 1, 4, 2, 0, 0, 0, 1, 1, 1, -1, 0, 0, 1, 1, -1, 0, 0, 0, -1, -1, -1, 0, 0, 2, 4, -1, -1, -1, 1, 0, 2, 0, -1, -1, 2, 0, 0, 0, -1, 1, -1, 2, -1, 1, -2, 0, -1, 4, -1, -1, 0, 2, 1, -1, 2, 1, 1, 1, 0, 1, 1, 0, 2, -2, 1, 0, 2, 0, -1, -1, 4, 0, -1, 0, -1, 1, 0, 0, -1, -1, -2, -1, 0, -1, 0, -1, -1, 0, 1, 0, -1, -1, 0, 4, 1, -1, -1, 1, -1, 1, -1, -1, 0, 1, -1, -2, -1, 0, -1, 0, 0, 1, 1, 0, -1, 1, 4, -1, 0, 0, -1, 0, 0, 0, 1, 1, 0, 1, -1, 1, 0, -1, -1, 1, 0, 2, 0, -1, -1, 4, 1, 0, 2, 0, 1, 0, 0, -1, -1, 3, -1, 1, -1, -1, -1, 1, 2, 1, -1, -1, 0, 1, 6, 0, 1, -1, 4, -1, -1, -1, 0, 1, 1, -1, 0, 0, 0, -1, 0, -1, 1, 1, 0, 0, 0, 4, -1, 0, 1, -2, 0, 0, -1, 2, -1, 2, 0, 0, -1, 0, -1, 2, 0, -1, -1, 2, 1, -1, 4, 1, 1, 1, 0, -2, -1, 1, 0, 0, -2, 2, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, 1, 4, -1, 0, 0, -1, -1, 3, -1, 1, -1, -1, -1, 1, 2, 1, -1, -1, 0, 1, 4, 1, 1, -1, 6, 0, -1, 1, 0, -1, -1, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, -1, -2, 1, 0, 0, 4, 0, 0, 0, -2, -2, 1, 0, 0, -2, -1, 0, 0, -2, 0, 1, 0, -1, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 0, 2, -1, 0, 0, -2, -1, 1, 2, -2, 0, 0, -2, 1, 2, -1, -2, -2, -1, -1, 4, 0, -1, 0, -1, 0, 1, 1, 0, 1, 0, 1, 1, 0, -1, -1, -1, 2, 1, 0, 1, -2, 0, 4, -1, -2, 1, 1, 0, 2, 1, -1, -2, 2, 1, -1, 1, 0, -2, 1, 2, 0, 1, 0, -1, -1, 4, 0, -1, -1, 1, -1, -1, 1, 0, -2, -1, 2, 0, 1, -1, -2, 1, 2, 1, 2, 0, -2, 0, 4, 0, -1, 1, -2, 0, 0, 1, 0, 0, 1, -2, 1, 2, -1, -2, -2, -1, -1, -1, 1, -1, 0, 4, -1, 0, 1, 2, -2, 0, 0, 1, -1, 0, 1, -1, -1, 1, 1, 0, 0, 0, 1, -1, -1, -1, 4, -2, 1, 0, 0, -1, 2, 1, 0, 0, -2, -1, 2, 1, -2, 0, 0, 1, 0, 1, 1, 0, -2, 4, -1, -1, 0, 0, -1, -1, 0, -1, 1, -1, -1, 1, 1, 1, -2, 1, 2, -1, -2, 1, 1, -1, 4, 1, 0, -1, 2, 1, 0, 1, 0, -2, 1, 2, 0, 1, -1, 0, 1, -1, 0, 2, 0, -1, 1, 4, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1, -1, 1, 0, -2, 0, 0, 0, 0, 4, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 2, 0, -2, 0, 1, 0, -1, 0, -1, -1, 0, 4, -3, 1, 0, -1, 0, 2, -1, -2, 0, -1, -2, 1, 2, -2, 0, 0, 2, -1, 2, 1, 0, -3, 6, 0, 0, 1, -1, -1, 2, 1, -2, 0, 0, 1, 1, -1, 0, 1, 1, -1, 1, 1, -1, 1, 0, 4, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, -1, 2, 1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 4, 0, 0, -1, -1, 0, 0, 0, -2, -1, 1, 0, -2, 0, 0, -1, 1, 0, 0, -1, 1, -1, 0, 4, 0, 0, 0, 0, 1, 0, 1, -1, 0, 1, 1, 1, -2, 1, 0, 1, 1, 0, -1, -1, 0, 0, 4, 0, -2, 0, 0, 1, 2, -1, -2, -1, 2, -1, -1, -1, -2, 0, 0, 2, -1, 0, -1, 0, 0, 6, 0, -4, -1, -2, -1, 2, 1, -2, -1, -1, 2, -1, 1, 0, 0, -1, 2, 1, -1, 0, -2, 0, 4, 0, -1, 0, -2, 1, 2, 1, -2, 1, 1, 1, 2, 0, 0, -2, 1, 0, 0, 0, 0, -4, 0, 6, 2, 2, -2, 0, 0, 2, -2, 1, -2, 1, 0, 0, -1, 0, -2, 0, 0, 1, 0, -1, -1, 2, 6, 1, -1, 1, 1, 1, -1, 0, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, 1, -2, 0, 2, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, -2, 1, 1, 1, 2, 0, -1, -2, 0, 0, 4, 2, 2, 0, 0, 1, 0, -1, 2, 1, -1, -1, 0, -2, 0, -1, -1, -2, 2, 0, -1, 2, 2, 6, 3, 1, 2, -1, -2, -1, 2, -1, -1, -2, -1, 1, 0, 1, 1, -2, -1, -1, -2, 1, 2, 3, 6, 2, 2, 0, -2, 1, 1, -2, -1, -2, 0, -1, -1, -1, -1, -1, -1, -1, 1, 0, 0, 1, 2, 4, 1, 1, 0, -1, 1, 0, 1, -2, -1, 1, 1, 1, -1, 0, -1, 1, -1, 0, 0, 2, 2, 1, 4, 0, -2, 0, 1, -1, 1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0, 1, 0, 4, 1, 0, 2, 2, 1, 0, 0, 0, 2, -1, 0, -1, 2, 0, 1, 0, 0, -2, -2, 0, -2, 1, 4, -1, 0, 1, 0, 0, -1, -1, 2, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, -1, 0, 0, -1, 4, -1, -1, -1, 1, 1, 0, 0, -1, 1, 1, -1, -2, 3, 1, 2, 2, 1, 1, 1, 2, 0, -1, 4, 2, 1, -1, -1, 0, 1, 0, 1, -2, 2, 0, 0, 0, 1, -1, -2, 0, -1, 2, 1, -1, 2, 4, 1, 1, 0, 0, 1, 0, 0, -1, 3, 0, 0, -1, -1, -1, -1, 1, 1, 1, 0, -1, 1, 1, 4, -1, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, -2, -2, -1, 0, 0, 1, -1, 1, -1, 4, 1, 0, 0, 0, 1, 0, 2, -1, 2, -2, 0, -1, 0, -1, 0, 0, -1, 1, -1, 0, -1, 1, 4, -1, -1, -1, -1, 0, 1, 0, 2, 1, -2, 1, -1, 1, 1, 0, -1, 0, 0, 0, 1, 0, -1, 4, 1, 2, 1, 0, -1, 0, -1, 1, 0, 0, -1, 1, 0, 2, 2, 0, 1, 1, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, -1, 0, -1, 0, 0, 0, 0, -1, 2, 0, 4, 1, 0, -1, 0, -2, 2, -1, 1, -1, -1, 0, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, 1, 4, 0, 0, -1, 1, 0, -2, -2, -1, 0, 0, -1, 0, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 1, -1, 2, -1, -1, -1, 0, 2, 0, -1, 2, 3, 0, 2, 1, -1, 0, -1, 0, -2, 6, 1, 1, -2, 0, -1, -1, 1, 0, 0, 1, -2, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 4, -2, 0, -1, -2, 1, -1, 1, 1, -1, 3, 0, 0, 0, 2, 2, -1, 0, -2, 1, 1, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 1, -1, -1, 0, 0, 1, 0, -1, 1, -2, -2, 1, 1, -1, -1, 0, 1, 4, 0, -1, 0, 1, -1, -1, -1, -1, -1, 2, 1, -2, -1, 1, 1, 2, 1, -1, -2, 1, -1, 0, 4, -1, -2, 0, -2, 0, 2, -1, 1, 1, 0, 1, 1, -1, -1, 1, -2, 2, -1, 1, 1, -1, -1, 4, 0, 1, 0, 1, 0, 2, 1, 0, 0, -1, 0, -2, -2, 0, 0, 0, 0, -2, 1, 0, -2, 0, 4, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 0, 0, -1, 0, -1, 1, 0, 2, 1, 0, 1, 1, 4, 1, 1, -1, 0, 1, 1, 0, -1, 0, -1, -1, 1, 1, -1, -1, 0, 1, -1, -2, 0, 1, 1, 4, 0, -2, 0, 0, -1, -1, 0, 0, 0, 0, -1, 2, -2, 1, -1, -1, -1, 0, 1, 1, 1, 0, 4, 0, 1, 1, -1, 1, 0, -1, 0, 0, -1, -1, 0, 1, 0, -1, -1, 2, 0, -1, -1, -2, 0, 4, 0, 1, -1, 1, 1, 1, 0, -1, 0, -2, 2, 0, 1, 0, -1, -1, 2, -1, 0, 0, 1, 0, 4, 0, 0, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, 0, -1, 1, 1, -1, 1, 0, 1, 1, 0, 4, -1, 1, 0, -1, -1, -1, -1, 0, 1, 1, 1, 1, 2, 1, 0, -1, 1, -1, -1, -1, 0, -1, 4, -1, -1, 0, 0, -1, 2, 0, 0, -2, 0, 0, 1, 0, 0, 1, 0, -1, 1, 1, -1, 1, -1, 4, -1, 0, 1, 1, -1, 0, 1, 1, 2, -1, -2, 1, -1, 1, -1, 0, 0, 1, -1, 0, -1, -1, 4, 2, -1, -1, -1, -2, 1, 1, 0, 1, -1, 1, 0, 1, 0, 0, -1, 1, -1, -1, 0, 0, 2, 4, -2, -2, 0, -1, 1, 0, 0, -2, 1, -1, -2, 0, -1, 0, 0, 0, -1, -1, 0, 1, -1, -2, 6, 4, -1, 1, -1, 1, 1, -2, 1, -1, -2, 0, -1, 0, 0, -1, -1, -1, -1, 1, -1, -2, 4, 6, 0, 1, -1, 1, 1, 1, 2, 1, 0, -1, 1, -1, -1, 0, 0, -1, 2, -1, -1, 0, -1, 0, 4, 0, 0, -2, 0, 1, 1, -2, 0, 0, 1, 2, -1, -2, 0, 0, 0, 0, -2, -1, 1, 1, 0, 4, -2, 0, 0, -1, -1, 2, 0, -1, -1, -2, 0, 2, 0, 1, 0, 1, 1, 1, -1, -1, 0, -2, 4, 1, 1, -1, -2, -1, 0, 1, -1, 1, 1, 0, 0, 1, -2, 1, 1, 0, 1, 1, -2, 0, 1, 4, 0, 0, 1, 1, -2, 0, 0, -1, 0, 1, -1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, -2, -2, -1, 0, 1, 0, -1, 0, 0, 1, -1, -2, 0, 1, -1, -1, -1, -2, 2, 4, 2, -2, -1, -2, -2, 0, 1, 0, 0, 0, -1, -1, 0, -1, -1, 0, -1, 0, -1, -2, 1, 2, 4, -2, 0, -2, -1, 1, 0, -1, 0, 1, 1, -1, 1, -1, -1, 0, -2, 0, 1, 0, -1, -2, -2, 4, 1, 2, 0, -1, 0, 1, 1, -1, -1, 0, 0, 0, 2, 0, 1, 0, 1, 1, -2, -1, 0, 1, 4, 1, 1, 1, 0, -1, 2, 1, 1, -2, 0, 2, 1, 0, -1, 0, 0, 1, -2, -2, -2, 2, 1, 4, 0, -1, -1, 1, 1, -1, 0, 1, 0, 0, 0, -1, 1, 1, 0, 1, -1, -2, -1, 0, 1, 0, 4, 1, -1, -1, 0, 0, 1, 0, -1, 1, 0, 1, 0, -1, 0, 1, 0, 0, 1, -1, 1, -1, 1, 4, 1, -1, 1, 2, 1, -1, 1, 0, -1, -1, -2, 1, 0, 1, 1, 1, 0, 0, 0, -1, -1, 1, 4, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, -1, 4, -1, -1, 0, 1, 1, -1, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, 2, 1, 0, 1, 0, -1, 4, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 2, 0, -1, 0, 4, 0, 0, 1, 1, -1, 0, -2, 0, 0, 0, 0, -1, 1, -1, 1, 0, 1, 1, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, -1, 0, -2, 1, 0, -1, -1, 1, -1, 0, 0, 4, 0, -1, -1, 1, 1, -1, 0, -1, -1, 0, 1, 0, 0, 0, -1, 1, -1, 1, 0, 1, 0, 0, 4, 0, -1, -2, -1, 1, 1, 1, -2, -1, -1, 0, 2, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 4, 1, 0, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, 0, -1, 1, 1, 0, -1, 0, -1, -1, 1, 4, 1, 1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 1, -2, 0, 1, 4, 1, -2, 0, -1, -1, -1, -2, 1, -1, 1, 0, -2, 0, 1, 0, -2, -1, 1, -1, 0, 1, 1, 4, -1, 0, 0, -1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, -1, -2, -1, 4, 1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 1, -2, -2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, 0, -1, 0, -1, -2, 1, -2, 0, 0, -1, 1, 1, 0, -1, 1, 0, 0, 0, -1, 4, 2, 1, -1, 0, 0, -1, 2, 1, 0, 0, 1, -1, -2, -2, 1, -1, -2, 1, 0, -1, -2, 2, 4, -1, -1, 0, 1, 0, 1, -1, 1, -1, 1, -1, -2, -2, 1, 1, -1, 1, 1, -1, 1, 1, -1, 4, 1, -1, 1, 0, 0, 1, -2, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 0, -1, -1, 1, 4, -1, 1, 2, 1, -1, -1, 2, 1, 1, 0, 2, 1, 1, 0, 1, -2, -1, -1, 0, 0, -1, -1, 4, -1, 1, 1, -1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 4, 0, -1, -1, 0, 1, 0, -1, -1, 1, 2, 1, -1, 0, -1, -2, -1, -1, 0, 0, 2, 1, 0, 4, 2, -1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, -1, -2, 2, 1, 0, 1, 1, -1, 2, 6, 0, 0, 1, 1, 2, -2, -2, 1, 0, 0, 1, -1, 0, 1, 1, -1, 1, -1, -1, -1, -1, 0, 4, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -2, 0, 1, -2, -1, 0, 0, 0, 0, -1, 4, -1, -2, 0, -1, -2, -1, 0, 0, -2, 1, 1, 0, 0, -1, 1, 2, 0, 1, 0, 1, 0, -1, 4, 0, 1, 0, 1, 1, 0, -1, 1, -2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, -2, 0, 4, 0, 0, 1, 1, 1, -1, 2, -1, -1, -1, -1, -1, -1, 1, 2, -1, 2, 2, 0, 0, 1, 0, 4, 1, 1, 0, 1, 1, 0, -1, 0, 1, -2, -2, 1, 0, 1, -1, 0, -2, 0, -1, 0, 0, 1, 4, 2, -1, 0, 1, 0, 0, 1, 1, -2, -2, 1, 2, 1, 1, 1, -2, 0, -2, 1, 1, 1, 2, 6, 1, 2, 0, 1, -1, -2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, -1, 1, 1, 0, -1, 1, 4, 2, -1, 1, -1, -2, -1, -1, 1, -1, 1, 1, 1, 1, 0, -1, 0, 0, 1, 1, 0, 2, 2, 4, 0, 1, 0, -1, 1, -2, -1, -1, 0, 0, -1, 1, 0, -1, 0, -1, -1, 1, 1, 0, -1, 0, 4, -1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, -2, 1, 2, 0, 0, 1, 1, 1, -1, 4, 0, -1, 0, 0, 1, -1, -2, 0, -1, 0, -1, 0, 1, -2, -1, -1, 0, -1, -1, 0, 1, 0, 4, 0, 0, -1, -1, -1, -1, 0, -2, -1, 0, 0, 1, 0, -1, 0, 1, -2, -2, -1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, -1, 0, 2, 1, -2, 0, -1, -1, -1, -2, 0, 2, 0, 2, 0, -2, -1, 0, -2, 4, 0, -2, 0, 1, 0, -1, 2, 1, 0, 1, 1, 1, 0, -1, -1, -2, 0, 2, -1, 1, 2, 0, 4, 0, -1, -1, 1, 1, 0, 1, -1, -1, -1, -1, 1, 0, 0, 0, 0, 0, -2, -1, 2, -2, 0, 4, -1, -1, 1, 0, -2, -1, 0, 0, 0, 0, 1, 1, 1, 2, -1, -2, 1, 1, -1, 0, -1, -1, 4, 2, -2, 0, 1, 0, 0, 1, 1, 0, 0, -1, -1, -1, 2, 1, -1, 1, 0, 1, -1, -1, 2, 4, 0, -1, 1, 1, -1, 0, 0, -1, 0, 0, -1, -1, 1, 1, -1, 1, 2, 0, 1, 1, -2, 0, 4, 1, -1, 1, 0, -1, -1, 0, -1, 2, 0, 1, 0, -1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 4, -1, -1, 0, 0, 0, 0, -1, 2, 1, 1, 1, -1, 0, 0, -2, 2, 0, -2, 1, 1, -1, -1, 4, 0, 0, 0, 1, 1, 1, -2, -1, -2, 0, 2, 0, 0, 0, 1, 1, -1, 0, 1, 1, -1, 0, 4, 0, -1, -1, -1, -1, 0, -1, 0, 1, 0, -2, -1, -1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 4, -1, -1, 0, -1, -1, 0, 0, 1, 0, 2, -1, -1, 1, -1, 0, 1, 0, -1, 0, 0, -1, -1, 4, 2, 1, 0, 0, -1, -1, -1, 0, 0, 2, -1, 1, -1, 0, 1, 0, -1, 0, 1, -1, -1, 2, 4, 1, 0, 0, 0, 0, -1, 0, -1, 2, -2, 1, -1, 0, 0, -1, 0, 0, 1, -1, 0, 1, 1, 4, 1, -1, 1, -1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, -1, 0, 0, 1, 4, -1, 1, -1, -1, 1, 0, 1, 2, -1, 0, 1, -1, 0, 2, 2, -2, 0, -1, 0, 0, -1, -1, 4, 0, 2, 0, -2, 0, 1, 0, -1, 0, 1, -1, -1, 0, 1, -1, -1, 0, -1, 0, 1, 1, 0, 4, 0, 0, 0, 0, 0, 2, -2, 0, 2, -1, -1, 1, 1, -2, 0, 0, -1, 0, -1, -1, 2, 0, 4, 0, -2, 1, 0, 0, 0, 0, -1, 2, 1, 0, 1, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, 4, 0, -1, 0, -2, 2, 0, -2, 1, 1, -1, -1, 2, 0, 0, 0, 0, 1, 1, -2, 0, -2, 0, 4, 0, 0, -1, -1, -2, 1, -1, -1, -1, 0, 0, -2, 2, 0, -1, 0, 0, 0, 0, 1, -1, 0, 6, -1, 0, 1, -1, 1, 1, 1, 0, 0, 0, -1, -1, 2, 2, 1, 1, 1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, -1, -1, -1, -1, 1, 0, 1, 1, 1, 0, 2, 1, -1, -1, 0, 1, -1, 0, 0, 4, 2, 2, 1, -1, 2, -1, 1, 1, 1, 2, 1, 0, -1, -1, 1, 0, 1, 0, -1, -1, 1, 2, 4, 0, 0, -1, 1, -2, 0, 0, 1, 2, 0, -1, 0, -1, 1, -1, 1, 1, 0, 0, -1, 2, 0, 4, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 1, 1, 0, -1, -1, 0, -1, 1, 0, 0, 4, 1, 2, -1, 0, 0, -1, 1, 0, -1, 0, 1, -1, -1, -1, 1, 0, 0, -1, -1, -1, 1, 1, 4, 1, 0, 0, -1, 0, -1, 1, -1, 1, 2, -1, 0, -1, 0, -1, 1, -1, 2, 1, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 1, -1, -1, -1, -1, -2, 0, -1, 0, 0, 4, -1, -1, -1, -1, -1, 1, -1, 0, 1, 1, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 4, 0, 1, 0, 2, 1, 1, 0, -2, -1, -1, 1, -2, 1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 4, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1, 1, 1, 1, 1, 0, -1, 0, 0, -1, 1, -1, 4, 0, 1, 0, 0, -1, 0, 1, 1, -1, -1, -1, 1, 2, 2, 0, 1, -1, 1, -1, 0, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 1, 0, 1, 1, -1, 2, 1, 1, -1, 4, 0, 1, 1, -1, -1, 0, 1, -2, 1, 0, 0, -1, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 4, 0, 0, -1, 1, 0, -1, 0, -1, 2, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, 4, 2, -2, -2, -1, 1, -1, 1, 1, -1, -1, 0, 1, 2, 1, 0, 0, 0, -1, 0, 1, 0, 2, 4, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 0, 1, -2, 1, 0, 0, -1, -1, -2, -1, 4, 1, 2, -1, 1, 0, -1, 0, -1, 1, -1, 0, -1, 1, -1, 0, 1, 0, -1, 1, -2, -1, 1, 4, 1, -2, 1, -1, 0, 1, 1, 0, -1, -1, 1, 1, -1, 1, 1, 0, 0, 0, -1, -1, 2, 1, 4, -1, 0, -1, 1, 0, 1, -1, 1, 0, 1, -1, 1, 0, -1, 0, 1, -1, 1, 1, -1, -2, -1, 4, 0, 1, -1, -1, 0, -1, 0, -1, -1, 1, -2, -1, -1, 0, -2, 0, -1, -1, 1, 1, 0, 0, 4, -1, 0, -1, 0, 0, 0, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, -2, 0, 1, -1, -2, 1, 1, 1, -1, 0, -1, -1, -1, 0, -1, -1, 1, -2, 4, -2, 2, 0, 2, 0, 0, 2, 2, 1, 0, -1, -1, -1, 0, 0, -1, 0, 2, -1, 1, 2, -2, 4, -2, 0, -1, -1, -1, -1, -2, -1, 0, 0, -1, 1, 0, -1, -1, -1, 0, 1, -1, -2, 2, -2, 4, 1, 2, 1, 1, 0, 2, 0, -1, -1, 1, 0, 1, 0, 1, 1, 2, -1, 1, -1, 0, 0, 1, 4, 2, -1, -1, -1, 0, -1, 0, -2, 2, -1, 1, 1, -1, 1, 0, -1, -2, -2, 2, -1, 2, 2, 6, 0, 0, -1, 1, 0, -2, -3, -1, 0, 2, 0, 1, -1, 0, 1, 1, 0, 0, -1, 1, -1, 0, 4, 0, -1, 0, 0, -1, 0, -1, 0, -1, 1, 2, 0, 1, 1, 2, 1, 0, -1, 1, -1, 0, 0, 6, -2, 1, 3, 2, 2, -1, 1, 2, 1, 2, 2, 1, 0, 0, -1, 2, -1, 0, -1, -1, -1, -2, 6, 0, 0, 0, 1, -1, -2, -1, -1, -1, 0, 1, 0, 0, -2, 2, -2, 2, 0, 1, 0, 1, 0, 4, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -1, 0, -1, 0, 0, 3, 0, 1, 4, 2, 1, -1, -1, 1, 0, 1, 1, 0, -1, 0, 1, 0, 0, -1, 0, -2, -1, 2, 0, 0, 2, 4, 2, 0, -1, 0, 1, -1, 2, 1, -1, -2, 1, -1, 0, -1, -2, -3, 0, 2, 1, 0, 1, 2, 4, -1, 0, 0, 0, 1, 1, 0, 1, -1, -1, -1, -1, 1, 2, -1, -1, -1, -1, 0, -1, 0, -1, 6, 0, 0, 0, -1, 1, -1, -2, -1, 0, -1, 1, 0, -1, 0, 0, 1, -2, 0, -1, -1, 0, 0, 4, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 1, 2, -1, 2, -1, 1, 1, 0, 0, 0, 0, 4, 1, 2, 0, 0, 1, -1, -1, 0, -1, 0, 1, 0, 1, 1, -1, 0, 0, 1, 0, 0, -1, 1, 4, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 2, 2, -1, 1, 1, -1, 1, -1, 0, 2, 1, 6, 0, 0, 3, 0, 0, 0, -1, 1, 1, -1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 4, 1, -1, -1, -1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, 6, 1, 0, -1, -1, 1, -1, -1, 1, 1, 0, 0, -1, -1, -1, 1, -2, 1, 1, 1, 3, -1, 1, 6, -1, 1, 1, -1, 1, -2, 1, 2, 0, 0, 0, 0, -2, -1, -1, 1, -1, -1, 0, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, 0, -1, 1, -1, -2, -2, 1, 1, 1, 2, 0, -1, -1, -2, -1, 2, 0, 0, -1, 4, 0, 1, 1, 2, -1, -1, -1, 0, 0, -2, 0, 0, 0, 1, -1, -1, 1, 0, -1, 0, -2, 0, 4, 0, 0, -1, -1, 1, 2, 2, 0, -1, 0, -2, 0, -1, 1, 2, 0, -2, 0, 1, 1, 1, 0, 4, 1, 1, -1, 0, 0, -1, 2, -1, -1, 0, -1, -1, 0, -2, -1, 0, 0, -1, 0, 1, 0, 1, 4, 0, -1, -2, 0, 0, 1, 0, -1, 0, -2, -1, 1, -1, 1, 0, -2, 1, -1, 2, -1, 1, 0, 6, 1, -1, -1, 0, 0, -1, 1, -1, 0, 1, 1, 1, 2, -1, 0, 0, 1, -1, -1, -1, -1, 1, 4, 0, -1, -1, -1, 0, 1, 0, 1, -1, 1, 2, 1, 0, 0, 1, -1, -1, 1, 0, -2, -1, 0, 4, 2, 1, -1, -1, 0, -1, 0, 0, 0, 0, -2, -1, 2, -1, -2, -1, 2, 0, 0, -1, -1, 2, 4, 2, 0, 0, -1, -2, -1, 0, 1, 1, 0, -2, 1, -1, -2, 0, 2, -1, 0, 0, -1, 1, 2, 4, -1, 0, 1, -2, 0, 1, 1, 1, 0, -2, 0, 0, 1, 0, 0, 2, 1, 0, -1, -1, 0, -1, 4, 1, 0, 0, 0, 0, 1, -2, 0, 0, -1, -1, 1, -2, -1, -1, 0, -1, 0, -1, 0, 0, 1, 4, 1, 0, 1, 1, 1, -1, 0, 0, -1, -1, 1, 0, 0, -1, -1, 1, 1, 0, -1, 1, 0, 1, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -1, 0, -1, -2, -2, 0, 0, 0, 4, -1, 0, -2, -1, -1, 2, 0, 0, 0, 0, 0, -1, -2, 0, 1, 0, -1, 0, 0, 1, 1, -1, 4, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, -1, 1, -1, 0, 0, 1, 0, 1, 1, 0, 1, 4, 0, -1, 0, 0, 0, -1, -1, -1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, -2, 0, 0, 4, 1, 1, -2, -1, 1, -2, -1, 2, -2, -1, 1, 2, 0, 1, 1, -2, -1, 0, -1, 0, -1, 1, 6, 2, -1, 1, 2, -1, 1, 0, -1, 1, 2, 1, -2, 0, 0, 0, 0, 0, -1, 0, 0, 1, 2, 4, -1, -1, 1, 2, 0, -2, 0, 0, -1, 0, -1, -2, -2, 0, 0, 0, 2, 0, 0, -2, -1, -1, 4, 1, 0, 0, -1, 0, 0, -2, 0, 0, 2, 1, 0, -1, -1, 0, 0, 0, 0, -1, 1, -1, 1, 4, -1, 0, 0, 1, -1, 1, 0, 1, -1, -1, 0, -1, -1, 0, 0, 0, -1, 1, 2, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, -1, 1, -1, -1, 1, -2, 0, 0, 1, 0, -1, 0, -2, -2, 1, -2, 0, 1, 2, 4, 0, 1, 0, 2, 0, -1, 1, -2, 0, -1, 1, -1, -1, -1, -1, 0, 0, -2, 0, 0, -2, 0, 4, -1, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 2, -2, 0, 0, -2, 1, 1, -1, 4, -1, 0, 1, -1, 0, 0, 0, -2, 0, -2, 0, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, -1, 4, 1, 0, 1, 1, 1, 0, 1, 1, 1, -1, 1, 0, 0, 1, 1, -1, 1, 1, 2, -1, 0, 1, 4, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 1, -1, 0, 0, 1, 0, -1, 4, -1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, -1, -1, 4, 2, 0, 1, 0, 1, 0, -1, 0, 0, 1, 1, 0, 1, 0, 1, 1, -1, 0, 1, 0, -1, 2, 4, -1, 0, 0, 1, 0, -1, 0, -1, 0, 1, -1, 1, 1, -2, -2, 0, 0, 1, 0, 0, 0, -1, 4, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 4, 1, 2, 1, -2, 1, -1, 0, 1, 0, 1, 0, 0, -1, 0, -2, 1, 0, 0, 0, 0, 0, 1, 4, 0, 2, -1, 1, 0, -1, 0, 0, 1, 1, 1, 1, -1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 4, 0, -1, 0, -1, -1, 2, 0, 0, 1, 0, -1, 0, -2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 4, -1, 1, 0, 0, 0, 0, 1, 1, -1, -1, 1, 0, -1, 0, 0, -1, -1, 1, -2, -1, -1, -1, 4, -1, 1, 0, 0, 1, -1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, -1, 4, 0, -1, 0, 1, 0, 1, -2, -1, 0, -1, 0, 1, 1, 0, -1, 1, -1, 0, -1, 0, 1, 0, 4, 1, 0, 1, 1, 1, -2, 0, 2, -1, 0, -1, 1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 1, 4, -1, 0, 1, -1, 1, 0, -2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, -1, 4, 0, 0, 2, -2, -2, 0, 0, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, 1, 1, 0, 1, -1, 0, 1, 1, 0, 0, 4, 0, 1, 0, -2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, -1, 2, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 1, -1, -1, 2, 1, -2, 2, -1, -1, 1, 0, 2, 1, -1, 1, 1, 1, -2, 1, 4, 2, 2, 0, 1, -1, 0, -1, -2, 2, -2, 1, -1, 0, 1, 0, -1, 2, 1, -1, -1, 2, 2, 4, 0, 1, 0, -1, 1, 1, -1, 1, -2, 0, -1, 1, 2, 0, 0, 2, 0, 0, -1, 1, 2, 0, 4, -1, 0, 0, -1, -1, -1, 2, 0, 1, 0, -1, 0, 1, -2, 1, 2, -1, 0, 1, 0, 1, -1, 4, 1, -2, 0, 1, -2, 1, -2, 1, -1, -1, 0, 0, 1, -1, -1, -1, 0, -1, 1, 0, 0, 1, 4, 0, -1, -1, 0, -1, -2, 2, -1, 0, -1, 1, 1, 0, -1, -2, 1, -1, -1, -1, 0, -2, 0, 4, -1, -1, 2, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, -1, 0, -1, -1, 4, 1, 0, 1, 0, -2, 1, 1, 1, -1, 0, 1, 0, 2, -1, 1, -1, 1, -1, 1, -1, -1, 1, 4, -1, -1, 1, 0, -1, 1, 0, 1, 1, 0, -1, 0, -1, -2, -2, -1, -1, -2, 0, 2, 0, -1, 6, -3, 0, -1, 0, 2, -2, 0, 1, -1, -1, 1, 2, 2, 2, 1, 2, 1, -1, -2, 1, -1, -3, 6, -1, 0, 1, -2, 1, -1, -1, 2, 1, 0, -1, -1, -2, -2, 0, -2, -2, 0, 0, 1, 0, -1, 6, -2, 2, 0, 0, -1, 0, -1, 0, 1, 0, -1, 1, 0, 1, 1, 2, 0, -2, 0, -1, 0, -2, 4, -2, -1, -1, 1, 0, 0, 0, -2, 1, 1, -1, -1, 0, -1, -1, 0, 1, -1, 0, 1, 2, -2, 4, 0, 1, -1, 0, 0, 0, 2, -1, 0, 0, 1, -1, -1, 0, 0, 1, 1, 2, -2, 0, -1, 0, 4, 0, 0, 0, 0, -1, 1, 0, 2, 1, 2, 0, 0, -1, 0, 1, 0, -2, 1, 0, -1, 1, 0, 4, 0, -1, 1, 1, 1, -1, 1, 0, 0, 1, 0, 1, 1, -1, 1, 0, -1, -1, 1, -1, 0, 0, 4, 0, 0, 0, -1, 0, -1, -1, 0, -2, 1, 1, 0, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, 4, 0, -2, 0, 0, 1, 2, 2, 1, -1, 0, 0, 1, 0, -1, 2, -1, 0, 0, 0, 1, 0, 0, 4, 0, 0, -1, 1, 1, 0, 2, -1, -1, 0, 0, -1, -1, 1, 0, 0, 0, -1, 1, 0, -2, 0, 4, 1, 0, 1, -1, 0, -1, -1, -2, 0, 2, 0, 1, 0, 1, -2, 2, 1, 1, -1, 0, 0, 1, 4, -1, -2, -1, -1, 0, 0, 1, 0, -1, -1, 2, -1, 0, 1, -1, 0, -1, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 2, 0, 0, 1, 1, 1, -1, 1, -1, 0, 0, -1, 2, -1, 1, -1, -1, -1, 1, 0, 4, 1, -1, -1, 0, 1, 1, 2, -1, -1, 1, -1, -1, -2, -1, -2, -1, 0, 1, 1, 1, -1, 1, 4, -1, 0, 1, 0, -1, 0, 0, 0, 2, 1, 1, -1, -1, -1, -2, -1, 2, 1, -1, 2, -1, -1, 4, -1, 1, 1, 0, -1, -1, 2, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, -1, 0, -1, 4, 0, -2, 0, 0, 1, 0, 0, -1, -1, 1, -1, 2, 0, 1, 0, 0, -1, 0, 0, 1, 1, 0, 4, 0, 1, 1, -1, 1, 0, -1, -1, -1, 0, 1, 0, 0, 0, 1, -2, 1, 1, 0, 1, -2, 0, 4, -1, 1, 0, 1, 0, 1, 1, -2, 1, -2, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, 1, -1, 4, 2, -2, -1, -1, -1, -1, 0, 1, 0, 1, 1, -1, 0, 0, 1, 2, 0, -1, 0, 1, 1, 2, 4, -1, -1, 0, -1, -1, -2, 1, -1, 0, 1, 0, 1, 0, -1, -1, 0, -1, 1, -1, 0, -2, -1, 4, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, -1, -1, 1, -1, 0, 2, 0, 1, 1, -1, -1, 0, 4, -1, 0, 0, -1, 0, 1, 1, 0, -1, 0, -1, -1, 1, 2, 0, 0, 0, 0, -1, 0, 0, -1, 4, 0, 1, 0, -1, -1, -2, -1, 2, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, -1, 1, 0, 0, 4, 2, 0, 1, -1, -1, -1, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, -1, 1, 0, 1, 2, 4, 0, 1, -1, 0, -1, 0, 0, 0, -1, -2, -1, 0, 1, -1, -2, 0, -2, 1, -1, 0, 0, 0, 4, -1, 1, 0, 1, 0, -2, 0, 2, -1, -1, 1, -1, 0, 1, 1, 1, -1, 0, -1, 1, 1, -1, 4, 0, 1, -1, -1, 0, 1, -1, -2, -1, 0, 2, 1, -2, 0, -1, 1, 1, -1, -1, -1, 1, 0, 4, 1, 1, -1, 0, -1, 1, -1, -2, 0, 0, 0, 0, 1, 0, 0, 1, -2, -1, 0, 0, 1, 1, 4, 1, -2, 0, 0, -1, 0, -1, -1, 1, 0, 0, 1, 1, 1, 0, -1, -1, -1, 1, -1, 1, 1, 4, -1, 0, -1, -1, 1, 2, 0, 0, 0, 0, -1, 0, 0, -1, 2, 0, 0, 0, -1, -1, -2, -1, 4, 1, 0, -1, 1, 1, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 4, -1, 1, 1, -1, 0, -1, -2, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, 0, -1, -1, 2, 0, -1, 0, 1, 1, 0, 0, 1, -1, -1, 1, 0, 1, -1, -2, 4, 1, -1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, -2, 0, 0, -1, 0, 0, 0, 0, 1, 4, -2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, -1, -1, -1, -1, 0, 1, 0, -1, -1, -2, 6, 2, 0, -2, -2, -1, 0, 2, -3, 0, -2, -2, 2, 2, 1, 0, 2, -1, 0, 0, 0, 0, 2, 4, 1, 0, 1, 0, 0, 2, -2, -1, -1, -1, 0, -1, -1, -1, 2, 1, 0, -1, 1, 2, 0, 1, 4, 2, -1, -1, -1, 0, 0, 1, 0, -1, 0, 0, -1, -2, 0, 1, -1, -1, 2, 2, -2, 0, 2, 4, 0, 0, 0, -1, 1, 0, 0, 1, -2, 0, -1, -1, -1, 1, 0, 2, 0, 0, -2, 1, -1, 0, 4, 0, 0, 0, 0, 0, 1, 1, -1, -2, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 4, 2, -1, 1, -1, 1, 0, 0, 1, -1, 1, -1, 1, 2, -1, 0, 0, 0, 0, -1, 0, 0, 2, 4, 0, -1, -1, 0, 1, 0, 1, -1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, -1, 0, -1, 0, 4, -2, 0, 0, 0, 1, -1, 0, -1, 2, 0, -1, 1, 1, 2, -3, -2, 0, 1, 0, 1, -1, -2, 6, 1, 1, -1, -2, 0, 1, 0, -2, 0, 1, 1, 0, 1, 0, -1, 1, 0, 0, -1, -1, 0, 1, 4, 0, 0, 0, 1, -1, 1, 0, 1, -1, 0, 1, 1, -2, -1, 0, 0, 1, 1, 0, 0, 1, 0, 4, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, -2, -1, -1, 1, 1, 0, 1, 0, -1, 0, 0, 4, 0, -1, -1, 1, 0, 1, -1, 1, -2, -1, 2, 0, 0, -2, -1, 0, 0, 1, -2, 0, 0, 0, 4, 0, 0, 0, 1, 0, -1, -1, 0, -1, 2, -1, 0, 0, -2, 1, 1, -1, 0, 1, -1, -1, 0, 4, 0, 1, -1, 0, 1, -1, 0, -1, 1, -1, -1, -1, -1, -1, -1, 0, 1, -1, 0, -1, 0, 0, 4, 0, 0, -2, 1, 1, -1, -1, 0, -1, -2, -1, 1, 1, 0, -1, 0, 1, 0, 1, 0, 1, 0, 4, -1, 0, 1, 0, 0, 0, 2, 2, 0, -1, 0, -1, 0, 2, -2, 0, -1, 0, 1, -1, 0, -1, 4, 1, -1, 1, 0, 1, -1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, -2, 0, 1, 4, -1, -1, 0, 0, 0, 0, -1, 0, 0, 2, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, 0, 1, 2, 1, -1, 1, 2, 2, 1, 1, -2, 1, -1, 0, 0, 0, 2, 2, 1, 4, 0, -2, 1, 1, 0, -1, 0, 2, 0, 0, 1, 1, 1, 2, -2, 1, 1, -1, -1, -1, 1, 0, 4, 1, -1, 1, 0, 2, 0, -1, 2, 2, 1, 2, 1, 0, 0, 1, 0, -1, 2, -1, -1, -2, 1, 4, -1, -1, 0, 1, 1, -1, -1, -1, 0, 0, -1, -1, 1, 0, -1, 1, 1, -1, 0, 1, -1, -1, 4, 0, 0, 0, 1, 1, 1, -2, 1, -1, 0, -1, -2, 1, 2, 0, 0, 1, 1, 1, 1, -1, 0, 4, -1, 1, -1, 1, 0, 1, 1, 1, 2, 2, -2, 1, -1, 0, -1, -1, 2, 0, 0, 0, 0, -1, 4, 1, -1, 0, 1, 1, 0, 0, -2, -1, 0, 0, 0, 1, 1, 1, 1, -1, 2, 1, 0, 1, 1, 4, 0, -1, 1, 2, 0, 1, 0, -1, -1, 0, 0, 0, 2, -1, -1, 0, 0, 1, 1, -1, -1, 0, 4, -1, 1, -1, 1, 1, 0, 0, 0, 1, 0, -1, 1, 0, 1, 2, -1, -1, 1, 1, 0, -1, -1, 4, 0, 0, 1, 0, -1, 2, -2, 1, 0, 0, -2, 1, 2, 0, 2, -1, 1, 0, 1, 1, 1, 0, 6, 2, 1, 1, 0, 0, 0, 2, 0, -2, 2, 2, 2, 0, 2, -1, -2, 1, 1, 2, -1, 0, 2, 6, 1, 1, -1, 1, 0, 1, -1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 4, 0, 0, 1, -1, 2, 0, 0, 1, 1, 1, 1, 2, 0, -1, 1, 0, 1, 1, 0, 1, 1, 0, 4, 0, 1, -1, 0, -1, -1, 0, -1, -2, 1, 1, -1, 0, 2, -2, 0, 0, -1, 0, -1, 0, 0, 6, 1, 0, 1, 0, -2, -1, -3, 1, 2, 0, -1, -1, 2, -1, -1, 0, 2, 0, 1, 1, 1, 1, 4, -1, 1, -1, -1, -1, 0, -1, -2, 0, 1, -2, -2, 0, -1, 0, -2, 0, 0, -1, -1, 0, -1, 4, -1, -1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, -1, 4, 0, 0, 0, 0, 0, 1, 0, -1, 2, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 4, -1, 1, 1, 0, -1, -1, 1, 0, 0, 1, 0, -1, 0, -2, 0, 0, -1, -2, -1, 0, 0, -1, 4, 0, 0, 2, -1, 2, 1, 0, -1, 1, 2, 1, -2, 2, 1, 1, 0, -1, -1, 1, 0, 1, 0, 6, 1, 2, -1, -1, -1, 1, -1, 1, -1, 0, 1, 2, 0, 1, -1, -3, 0, 0, 0, 1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -1, -1, 0, 1, 2, 2, 1, 0, 2, 0, 0, -2, 1, 0, -2, 2, -1, 2, -1, 4, 0, -2, 2, 0, 0, 1, -2, 0, -1, 0, -2, 1, 0, 1, 1, 0, 0, -2, 1, 0, -2, 0, 4, -2, -1, 0, 0, 0, -1, -2, 0, -1, -2, 0, 1, 1, -2, -1, 1, 0, 1, -1, 2, -2, -2, 4, 0, -1, 0, 0, 1, 1, 0, 0, 3, 0, 0, -2, 0, 1, -1, 2, -1, 1, -1, 2, -1, 0, 6, 2, -2, -1, -3, -1, -2, 2, 0, 2, -2, 2, 0, 0, 1, 0, 2, 0, -1, 0, 0, -1, 2, 4, -2, -2, -2, -1, -1, 1, -1, 0, -1, 2, 1, 0, 1, -1, 1, -1, 0, 0, 0, 0, -2, -2, 4, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, -1, -2, 0, 4, 0, 1, 0, -2, 1, 1, 2, -1, 1, 1, -2, 1, -1, 1, 2, -2, -1, 1, -3, -2, 1, 0, 6, 1, 1, 0, 2, -2, 0, -2, 0, 0, 0, 1, -1, 1, 2, 0, -2, 1, -1, -1, 0, 1, 1, 4, 0, 0, 0, 1, 1, -1, 1, 1, -2, 1, -1, 1, 1, -1, 0, 0, -2, -1, 1, 0, 1, 0, 4, 0, 0, -1, -1, -1, 0, -2, -1, 0, -1, 1, 0, 0, -1, 0, 2, 1, 0, -2, 0, 0, 0, 4, -1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 2, -2, -2, 3, 0, -1, 0, 1, 2, 0, 0, -1, 6, 0, -1, -1, 0, 0, -1, 2, 0, 2, 0, 1, 0, 0, 2, 0, -1, 1, -2, 1, -1, 1, 0, 4, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 0, -2, -1, 0, 2, 0, 1, -1, -1, -1, 1, 4, -1, 0, 2, -1, 0, -1, -1, -2, 1, 1, -2, 2, 2, -1, -1, -2, -1, -1, 0, -1, 0, -1, 4, 0, -1, 1, -1, 2, 0, 1, 1, -2, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 1, -1, -1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, -2, 0, 0, 1, 2, -1, 1, 4, 0, 1, -1, -1, -2, 0, 1, -1, 1, 1, 0, -2, 0, -2, -1, 0, -1, -1, -1, 1, -1, 0, 4, -1, 1, -1, 2, -2, 0, 2, 0, -1, 0, 1, 1, 1, 0, -1, 2, 1, 0, -1, -1, 1, -1, 6, 0, 1, -1, 1, 1, -1, 2, 1, -1, -1, -1, -1, -1, 0, 0, 0, -1, 2, -1, -1, 1, 0, 4, 0, 2, 0, -1, 1, 0, -1, -1, 1, 1, 1, 1, -1, 2, 0, -1, 0, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 0, -1, 0, -1, -1, -2, -2, -2, 1, 1, 1, 1, 2, 1, -1, -2, -1, 2, 1, 4, -2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, -1, 1, 0, 1, 2, -2, -2, 6, -1, -2, 2, 2, -2, -1, 1, 1, -1, 0, 1, -3, 1, -1, 2, 0, 1, -2, -3, 1, 0, -1, 4, -1, 0, 1, 0, -1, 0, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 2, 0, 0, -2, -1, 4, 0, -2, 2, 0, 0, -1, 2, 1, 0, 1, 0, 0, -1, -1, 0, 0, -1, -1, 1, 2, 0, 0, 4, 0, 1, -1, 1, 1, 1, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, 0, 0, 2, 1, -2, 0, 4, -1, -1, 0, 1, -2, -1, 0, -2, 1, -1, 1, -1, 0, -1, 0, -1, 1, -2, 0, 2, 1, -1, 4, 0, 0, 1, 2, 0, 0, 1, -1, -1, -2, 0, 0, 2, 0, -1, 1, -1, -1, 0, -1, -1, 0, 4, 0, 1, 1, 0, 0, 1, 0, 0, -1, 2, 0, 2, 0, -2, 0, 1, 0, 0, 1, 0, 0, 0, 4, 0, 2, -1, -2, -1, 1, -2, 0, 0, 2, 0, 0, -2, 0, 1, 0, -1, 1, 1, 1, 1, 0, 4, 1, -1, 0, 0, -1, -1, 0, 1, 0, 1, -1, -2, 1, -1, -1, 2, 1, -2, 2, 1, 2, 1, 6, 1, -1, 1, -1, 0, -2, 1, 0, 0, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0, -1, -1, 1, 4, 2, 0, 1, 2, -1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -2, 0, -1, 2, 4, -1, 1, 1, 0, 0, -1, 0, 0, 1, 1, -3, -1, 1, -1, -2, 1, 1, -1, 0, 1, 0, -1, 4, -2, 1, -1, 1, -1, 1, 1, 1, 2, 1, 0, 0, 1, 1, -1, 0, 1, -1, -1, 1, 1, -2, 6, 0, 1, -1, 1, -1, 1, 2, 0, -1, -1, 0, -1, -1, -1, 0, -2, -1, 0, 2, 1, 1, 0, 4, 0, 0, -2, 0, 1, 1, -1, 2, 0, -1, 0, 1, -2, -1, 0, 0, -2, -1, 0, -1, 1, 0, 4, -1, 0, -1, -1, -1, 1, 0, 0, -1, 1, -1, 0, 2, 0, 1, 1, 0, 0, 1, -1, 0, -1, 4, 0, 1, 1, -2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, -1, -1, -1, 1, -2, 0, 0, 4, 1, 0, -1, 1, -2, -1, 0, 0, -1, 2, 2, 0, 1, 0, -1, 0, 1, -1, 0, -1, 1, 1, 6, 1, 2, 2, -3, 2, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, -1, 1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, -1, -1, 1, 1, 1, 0, 1, -1, 1, -2, 2, -1, 0, 0, 1, 1, 1, 2, -1, 4, 1, -1, 0, 0, 1, -1, 1, -1, 0, 2, -1, 0, 1, 0, 1, 1, 1, 0, -2, 0, 1, 1, 4, -1, -1, -2, 0, -1, 0, -1, 2, 1, 1, -2, 0, 1, -1, 2, 0, 2, -1, 1, 2, -1, -1, 4, 1, -1, 0, 1, 0, 1, 0, -2, -1, -1, 1, 0, 1, -1, 1, 0, 2, 1, -1, 0, -1, 1, 4, 0, 1, 0, -2, -1, 0, 0, -1, -1, -1, 0, -1, -1, 1, 0, 0, 0, -1, 0, -2, -1, 0, 4, 0, 1, 1, 0, -2, 1, 0, 1, -1, -2, 1, 0, -1, -2, -1, 0, 1, 1, 0, 0, 1, 0, 4, -1, 0, -2, 0, 1, 1, -2, 0, -1, 0, 0, 1, 0, -1, 1, 1, -1, -1, 1, 0, 1, -1, 4, 0, 0, -1, -1, -1, 1, 2, -1, 1, 0, 1, -1, 1, 1, 1, 1, 0, 0, -2, 1, 0, 0, 4, 1, -1, 0, 1, 0, 2, 0, 2, 1, -1, -1, 0, 0, 0, -1, -1, 1, -1, 0, -2, 0, 1, 4, -1, -1, 0, 1, 0, 0, 1, 0, 0, -1, 1, -1, 1, 0, 2, 0, 0, -2, 0, -1, -1, -1, 4, -1, 1, -1, 0, 1, -2, 0, 0, 2, 0, 1, -1, 2, 1, -2, 0, 1, 1, -1, 0, -1, -1, 4, 0, -1, -1, -1, 0, 1, 0, 0, -2, 0, 1, -1, 1, -1, -1, 0, 1, -1, 1, 0, 1, 0, 4, -2, 0, 0, -1, 0, -1, 1, 0, 1, -2, 0, -2, -1, -1, 1, -2, 1, 0, 1, -1, -1, -2, 6, 0, 1, 0, -1, 0, -1, 1, -1, 2, 1, 0, 1, -1, -1, 0, 2, 2, 0, 0, -1, 0, 0, 6, 0, 1, -1, 1, 0, 1, 1, -1, 0, 1, 0, 0, -2, -1, -1, 0, 0, 1, -1, 0, 1, 0, 4, 0, 0, -1, 1, 1, 0, 0, 1, -1, 1, -1, 1, 0, 1, 2, 1, -2, 0, -1, 0, 1, 0, 4, 1, 0, -2, 0, 0, 0, 1, 2, -1, -1, 0, 0, 0, 1, 0, 0, 1, 0, -1, -1, 0, 1, 4, 0, 0, -1, 0, 1, 1, 0, 1, 1, -1, 1, 1, -1, 0, 0, 0, -1, 0, 1, -1, 0, 0, 4, 0, 0, 1, 1, 0, 2, 0, 0, -2, 0, -1, -1, -1, 2, 0, 1, -1, 0, 1, -2, 0, 0, 4, 1, 1, 1, -2, -1, 2, 0, -1, -1, 1, 0, 1, 0, -2, 0, 1, 1, 1, 0, -1, 0, 1, 4, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 1, -1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, -1, 2, -1, 2, 1, 4, -2, -1, 2, 1, 0, 0, 1, 2, 1, 0, -1, -1, 0, 2, 1, 0, -2, -1, -1, 1, -1, -2, 4, -1, -2, 0, 0, -1, -1, -2, 0, -1, -1, 0, 1, -1, 1, -1, 1, 1, 1, -1, 2, -1, -1, 4, 1, -1, 0, 0, -1, 0, 0, 0, 3, 2, 0, -1, -1, 1, 0, 2, -1, 1, 1, 2, -2, 1, 4, 1, -1, 1, 0, 1, 1, 1, 1, 1, -1, 1, -1, 0, -1, 1, -1, 1, -1, 1, 0, -1, 1, 4, -2, 0, 0, 1, 1, -1, -1, -2, 1, -1, -1, 0, -1, -1, -1, -1, 1, 0, 0, 0, -1, -2, 4, 1, 0, 0, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 4, -1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 1, -1, -1, 0, 0, 0, -1, 4, 0, -1, 1, -1, 1, -1, 1, 1, 0, 0, -1, 1, 1, 1, 2, -2, 0, 1, 1, 0, 0, 0, 4, 0, 0, -1, 0, 1, 1, -1, 1, -2, 0, -1, 0, 1, 1, 0, 0, 1, 1, -1, 0, -1, 0, 4, 0, 0, -1, -1, 0, 0, -2, -1, 0, -1, 1, 0, 0, -1, 0, 1, -1, -1, 0, 1, 0, 0, 4, -1, 2, -1, 0, 0, 0, 0, -1, 0, 0, 2, -1, -1, 3, 1, -1, 1, 2, -1, -1, 0, -1, 6, 2, -1, 0, -1, 0, 0, 2, 0, 2, 2, -1, 0, 2, 1, -2, 1, 0, 1, 0, -1, 2, 2, 6, 0, 0, 0, 1, 0, 3, 0, 1, 0, 0, 1, 0, -1, 1, 1, 0, -1, 1, -1, -1, -1, 0, 4, -1, 0, 2, -1, 0, -1, -2, 1, 2, -1, -1, 1, -1, 1, 0, 1, 1, 0, 0, 0, 0, -1, 4, 1, -1, -1, 0, 1, 2, 0, 1, 1, -1, -1, -1, 1, 0, 1, -1, 0, 0, -1, 0, 0, 1, 4, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 1, 1, 0, 1, -2, 0, 0, 1, 2, -1, 0, 4, 0, 1, -1, -1, -1, -2, 1, 0, -1, -1, -1, 0, 0, -2, -1, 0, 0, 0, -1, -1, 0, 0, 4, 0, 1, 0, 2, -1, 1, 2, 1, -1, 1, 1, -1, 0, 0, -1, 2, 3, 0, 0, 0, 1, 0, 6, 0, 1, -1, -1, 1, -1, -1, -1, 0, -1, 1, -1, -1, 0, 0, 0, -1, 1, 0, -1, 1, 0, 4, 0, 2, 1, -1, 1, 1, -1, 0, 0, 1, 0, 1, 0, 2, 1, -2, 2, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 1, -1, -1, -1, 0, 2, 1, 2, -2, -1, 2, -1, 1, 1, 1, -1, -2, 0, -1, 4, 1, 1, -2, -1, 1, 0, -1, -2, -2, 0, 1, 2, -1, -1, -1, -1, -1, 1, 0, -1, 2, 1, 4, 0, -1, 0, 0, -1, -1, 0, 0, 2, 0, 0, 0, -2, 1, 0, 1, 0, -2, -1, 1, 1, 0, 4, 1, -1, -1, 1, -1, -1, 0, 1, -1, 0, 1, 0, -1, -1, 1, 1, 0, 1, 1, -2, -1, 1, 4, 1, -2, 0, 0, 0, 1, 0, -1, -2, 1, 0, -1, 0, 1, 0, 0, 2, -1, -1, 0, -1, 1, 4, 0, -1, -1, 0, 0, -1, 1, 0, -1, 1, 0, -1, 1, 1, 0, 0, -1, 1, 0, -1, -2, 0, 4, 1, 0, 1, -1, 0, 0, 0, -1, -1, 1, 1, -2, -1, 1, 0, -1, 0, -1, 1, 0, -1, 1, 4, 1, 0, 1, 0, -1, -1, -1, 0, -1, 0, 0, 0, 2, 1, 0, -1, -1, -1, 0, -1, 0, 1, 4, 0, 1, 0, 0, 0, 1, 0, -1, 1, 0, -1, 0, 1, 2, -2, 0, -1, 0, 0, 1, 0, 0, 6, 0, 0, -1, -1, 1, 0, 3, 2, 0, -2, -1, 0, 1, -2, 0, 0, 1, 0, -1, 1, 1, 0, 4, 0, -1, -1, 0, 0, 0, 1, 2, -1, 0, 0, 2, 0, 2, 1, 0, -1, 0, 0, 0, 0, 0, 4, -2, 0, 1, -1, 0, 1, 0, -1, -1, 0, -2, 1, 0, -1, -1, 1, 0, -1, 0, -1, -1, -2, 4, 1, -1, 0, 0, -1, 0, 1, 0, 0, -1, 2, 0, 0, -2, 0, 0, -1, 0, -1, -1, 0, 1, 4, 0, 1, -1, 0, 0, 0, 0, -2, 2, -1, 0, 1, 1, -1, -1, -1, 1, 1, 0, 1, -1, 0, 4, 0, 0, 0, 0, -1, -1, 1, -1, -1, -2, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 4, 0, -1, 0, 1, 1, 0, 1, -1, 1, -1, -1, 0, 1, -1, -1, 3, 0, 0, 0, -1, 0, 0, 4, 1, 0, -1, -1, 0, 1, -1, 0, -1, 0, -1, 1, 0, 1, 2, 1, 1, -1, 0, 0, -1, 1, 4, 0, -2, 0, 0, 1, -1, 1, 1, 1, 1, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0, -1, 1, 0, 1, 0, 1, -1, 0, -1, -2, -1, -1, 1, 0, -1, 1, -1, -2, 0, 4, 1, 0, -2, 0, -2, 0, 0, 0, 1, 2, 0, -1, 0, -1, 0, 0, -1, 1, -1, 0, -1, 1, 4, 0, 0, -1, -1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 2, 0, 1, 0, 0, -1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 4, 2, 1, -1, 1, -1, -1, -1, -1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 4, 0, 0, 1, -2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, -1, -1, 2, 2, 1, 0, 4, -1, -1, -1, 0, -1, -1, 1, 1, 1, -1, 1, 1, 0, 1, -1, -1, 1, 1, 0, -1, 0, -1, 4, 1, -1, 0, 2, 1, -1, -1, -1, 0, -1, 1, -1, 0, 1, 0, 1, 0, 1, 1, 1, -1, 1, 4, 0, -1, 1, 1, 0, 0, 0, 2, -1, 1, 0, 0, 1, 0, 1, 1, 0, -1, -2, -1, -1, 0, 6, 2, -2, 2, -2, 1, 0, 0, 2, 1, 1, -2, -2, 2, 0, 0, 0, -1, 0, 0, 0, -1, 2, 4, 0, 0, -1, 0, 0, 0, 1, 1, 1, -1, -2, 1, 0, 0, -1, -1, 0, -1, 2, 1, -2, 0, 4, -1, -1, -1, -1, 0, -1, 0, -1, 1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 1, 2, 0, -1, 4, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 0, 1, 1, 2, 1, 1, -1, 0, -2, -1, -1, -1, 4, 0, 1, 1, -1, -1, 1, 1, 2, -1, 0, 0, 1, 2, 0, 1, -1, 0, 1, 0, -1, 0, 0, 4, 0, 1, 1, 1, 0, 0, -1, 0, 0, 0, 2, 2, 2, 1, -1, 0, 0, 0, -1, 0, 1, 0, 4, -1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, -1, 0, 2, 0, 0, 0, 0, 1, 1, -1, 4, -1, 0, 0, 0, 1, 0, 1, -1, 1, 0, 0, 1, -1, -1, 2, 1, -1, 1, -1, 1, 1, -1, 4, 1, 0, -1, -2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, -1, 1, 1, 0, 1, 4, 1, 0, -1, 0, 1, 2, 2, 1, 0, 0, -1, 0, 1, 1, -1, -1, 1, 0, 1, 0, 0, 1, 4, -1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, -2, -1, 1, -1, 1, 0, 0, 0, -1, 0, -1, 4, 1, -2, 0, 0, 0, 1, 1, -1, 1, 1, -2, -2, 0, 0, 2, -1, 0, 1, -2, -1, 0, 1, 4, -1, 0, 0, 0, 0, -1, -1, 0, 0, 2, 1, -1, 1, -1, 0, 0, 0, 0, 0, 1, -2, -1, 4, 1, 0, 2, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 4, 0, 2, 1, 2, 1, 0, 1, 0, 0, -1, 1, 0, 0, 2, -1, 1, 2, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 0, 1, -1, 0, 0, 0, 0, -1, 2, 1, 0, 1, -2, 0, -2, 0, 2, 1, 1, -2, 4, 0, 1, -2, 0, 0, 0, -1, 1, 1, -2, -1, -1, -1, 2, -1, 0, -1, -2, -1, -1, -1, 0, 6, -2, -2, 2, 2, -1, 1, 2, 2, -1, 2, 2, 2, 3, -1, 2, -1, -1, -2, 2, 0, 1, -2, 6, -2, 0, 1, -2, -3, -1, 1, 0, 0, 0, -1, 1, -1, -3, 2, 0, 0, -1, 1, -2, -2, -2, 6, -1, -1, 2, 2, 0, -3, 2, -1, -1, 1, -1, 3, 2, 1, 2, 1, 0, -1, 0, 2, 0, -1, 4, 0, 0, 1, 0, 1, -1, 0, 0, 1, 1, 1, 1, 1, -1, -2, 1, 0, 0, 2, 1, -1, 0, 4, 0, -1, 0, 0, 0, 1, 2, 0, 2, -1, 1, 1, 0, 0, 1, 0, 0, -1, -2, 2, 0, 0, 4, 2, 0, -1, 0, -2, -1, 0, 0, 1, 1, 1, 0, 0, 0, 0, -1, 1, -3, 2, 1, -1, 2, 4, 0, 0, 0, -1, -1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, 0, 0, 0, 4, 1, -1, 1, 1, 2, 2, 0, 0, -1, -1, -2, 0, -1, 1, 2, 1, -3, 1, 0, -1, 0, 1, 4, -2, 1, 1, 0, 1, -1, -1, 0, -2, -1, -1, 2, -2, -1, 0, 2, -1, 0, 0, 0, -1, -2, 4, 1, 0, 1, -1, 0, 0, 0, 2, 1, 1, 1, -1, 2, 0, -1, 0, 1, -2, -1, 1, 1, 1, 4, 2, 1, 0, -1, 0, -1, 0, 0, 1, 0, -1, 2, 0, -1, 0, 2, -1, -1, 1, 1, 0, 2, 4, 1, 1, -1, 1, 0, 0, 0, 0, 1, -1, 2, -1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 4, 1, 0, 0, 0, 1, -1, 1, -2, 2, 3, 1, -1, 1, 2, 0, 0, 2, 1, -1, 0, 1, 1, 6, 0, 1, 0, -1, -2, 1, 0, -1, -1, -1, 3, 1, -1, 1, 2, 0, -1, 0, -1, -1, 0, 0, 4, 1, 1, 0, 0, 0, -2, 0, 2, -3, 2, 1, 1, 1, 1, 0, -1, 0, 0, 1, 0, 1, 1, 6, 0, 0, 0, 1, 0, -1, -1, 2, 1, 1, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 4, 0, 0, 0, 2, -2, -1, 0, 2, -1, 0, 0, 0, -1, -2, 2, 0, 0, 1, -1, 0, 0, 0, 4, 2, 1, 1, -1, -2, 0, 1, -2, 0, 0, 0, -2, -1, 1, 0, 0, -1, -2, 0, 0, 0, 2, 4, -1, 1, -1, 2, -1, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0, 1, 1, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, -2, -1, -1, -1, -1, 1, 0, -1, -1, -2, 1, 2, -2, -1, 1, 2, 1, 4, -1, -2, -1, 0, -1, 1, -1, -1, 0, 0, 1, -2, -1, -1, 0, 0, 0, -2, 1, 1, -1, -1, 4, 0, 1, -2, -1, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1, 0, 1, 1, 1, -1, -1, -2, 0, 4, -1, -1, 2, 1, 2, 1, -1, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, 0, 1, -1, 1, -1, 4, 0, -2, -2, -1, -1, 0, 1, -1, 1, -1, 0, 2, 1, 1, 1, 1, 0, 2, 0, -2, -1, 0, 6, -2, 0, -2, -2, 2, -1, -2, -1, 0, 1, 1, -1, -1, -1, 0, 2, -2, -1, -1, 2, -2, -2, 6, 0, 1, 1, 1, 0, 1, 0, 2, 1, -1, -1, 0, 0, -2, -2, -1, 1, 0, 1, -2, 0, 0, 4, 0, 1, 0, -1, 0, -1, 1, 0, 0, -1, 0, -1, -1, 1, -1, -1, 0, 2, -1, -2, 1, 0, 4, 2, -2, -1, 0, 1, 1, 0, -1, 1, 0, 1, -1, 0, -1, -1, 0, 1, -1, -2, 1, 1, 2, 4, -1, -1, 1, 1, 1, -1, -1, 0, 0, 1, -1, -1, -1, 0, -1, -1, 0, 2, 1, 0, -2, -1, 4, -1, -1, 0, 1, 2, 1, -2, 1, 0, -1, -1, 1, 0, 1, 0, 1, -1, 0, -1, -1, -1, -1, 4, 0, -1, -2, -1, 0, 1, 0, -1, 2, 0, 0, 1, 0, 0, -1, -2, 1, 0, 0, 1, -1, 0, 4, -1, 0, -2, -1, 1, 0, -1, 0, -1, -1, -2, 1, 0, 1, -1, 0, -1, 1, 1, 0, -1, -1, 4, 0, 1, 0, 0, 0, 2, -1, -1, -1, -1, -1, 1, -1, 0, 2, 1, 1, 1, 1, -2, 0, 0, 4, 1, 0, -1, 0, 1, -2, 0, -2, -1, 0, 0, 0, 1, 1, 0, 0, -1, 2, -1, -2, 1, 1, 4, 1, -2, 1, 1, -1, 0, 1, 0, 1, -1, 2, 1, -1, 0, -1, -1, 1, 0, -1, 0, 0, 1, 4, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, -1, -1, -1, 1, 0, -2, 1, 1, 0, -1, -2, 0, 4, -1, 0, 1, 1, -2, 0, 1, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 4, 0, 0, -1, -1, -2, 1, 0, 1, -1, 0, -1, 1, 1, 0, -1, -1, 2, 1, 1, 0, 0, 0, 4, 0, -1, 1, 1, 1, -1, 1, 0, -2, -1, -1, -1, -1, 2, 0, -1, -2, -1, 0, 1, 0, 0, 4, 0, 2, 1, -1, 0, 0, 2, -2, 1, 0, -1, -1, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 1, 2, -1, 1, 1, 1, -1, 0, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 4, 1, -1, 0, 1, 2, 0, 1, 1, -1, -1, 1, -1, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 4, 0, 2, 2, 1, -1, 2, 2, 0, -2, 1, 0, -1, -1, 0, -2, 0, 2, 2, 1, 2, -1, 0, 4, -1, 1, -2, 1, 1, -1, -1, 1, -1, -1, -1, 0, 1, -1, 1, 1, 0, -1, 1, 0, 2, -1, 4, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 1, -1, 0, -1, 0, 1, 2, 2, 1, 2, 1, 0, 4, 0, 0, 2, 1, 0, -1, 2, 0, -1, -1, -1, -2, 0, 2, 2, 0, -1, 2, 1, -2, 0, 0, 4, 0, 0, 2, 0, 0, 2, 0, 1, 0, -1, 0, -1, 0, 1, 1, 1, 0, -1, 1, 0, 0, 0, 4, -1, 1, 0, 2, -1, 0, 0, 1, -2, 1, 0, -1, -1, 1, 1, 1, 2, 1, 0, 2, 0, -1, 4, 0, -1, -2, 0, 0, 0, -1, 0, -2, 0, 2, 1, 0, 1, 1, 2, -1, 1, 1, 2, 1, 0, 6, -1, -1, 0, -1, 0, -1, -1, 0, 1, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, 0, -1, -1, 4, 0, 0, 2, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, -2, 1, -2, -1, 0, 2, -2, -1, 0, 6, 1, -1, 1, 0, -1, 0, 0, 0, -1, -1, 1, 1, 1, -1, 0, 2, 2, -1, 0, 0, 0, 1, 6, -1, 1, 0, -1, -2, 0, 2, 2, 1, -1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 2, -1, -1, 4, -1, 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 1, 1, -1, 4, -1, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0, 1, -1, 0, 1, -1, -1, 0, 0, 0, 0, -1, 4, 0, 1, -1, -1, 0, 2, -1, -1, 0, 1, -1, -1, -1, -2, 0, -1, 0, -1, -1, 0, -1, 0, 4, 0, 1, 0, 0, -1, -1, -1, -2, -1, 0, -2, 0, 1, -2, 0, 0, 0, -2, 1, 0, 1, 0, 4, 0, -2, -1, 0, 1, -1, 0, 1, -1, 0, -1, 0, 0, 1, -1, 0, 0, -1, 0, -1, 1, 0, 4, 0, -1, 0, 1, 1, 2, 1, 0, 2, 0, -1, 2, 0, -1, 0, 2, -1, 0, -1, 0, -2, 0, 4, 2, 0, 1, 1, 2, 0, 1, 2, 1, -1, 1, 1, 0, -1, 2, 0, -1, 0, 0, -1, -1, 2, 4, 0, 1, 1, 1, -1, 2, 0, 1, 1, 0, 1, 0, -1, 1, 0, 0, 2, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 1, 0, 1, 0, -1, -2, 1, 1, 0, 2, 0, 0, 0, 1, 1, -2, 1, -2, 4, -2, 1, -1, 1, 0, -1, -1, 1, 2, -2, -1, -1, -2, 0, 0, 1, -1, -1, 0, 0, 2, -2, 4, -1, 0, -1, -1, 1, 0, -1, -2, 1, 1, 1, 1, -1, 1, 1, 0, 1, 0, 0, 0, 1, -1, 4, 1, 0, 1, 1, 1, 2, 1, -1, 1, 1, 0, -1, 0, 1, -1, -1, -2, 1, 1, -1, 0, 1, 4, 1, 1, 2, 2, 1, -1, 1, 2, 0, 2, 0, 1, 0, 0, 1, -2, 1, 1, 1, -1, 0, 1, 6, 2, 1, -2, -1, 0, 0, 0, -2, -1, -1, -2, -1, 2, -1, -1, 1, 0, 0, -1, 1, 1, 2, 4, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, 1, 0, 0, 1, 1, -1, 1, 1, 2, 1, 0, 4, 1, 1, -1, 0, 2, 0, 2, 0, 1, 1, -1, 1, -1, 1, 0, -1, 0, 1, 2, -2, 0, 1, 4, 2, -1, 1, 2, 0, 1, 1, 1, 0, -1, 1, 0, 1, -1, 1, -1, 2, 1, -1, -1, 1, 2, 4, 1, 0, 1, 0, 1, 0, 1, 0, -2, 0, -1, 0, -2, 2, -2, 1, -1, 0, 0, -1, -1, 1, 4, -2, -2, 0, -2, 0, 0, 0, -1, -2, 1, 0, 1, -2, 1, -1, 1, 0, -1, 0, 1, 0, -2, 4, 1, 1, 1, -1, -1, -1, 1, 1, -1, 0, 1, -1, 1, 1, 2, 0, 0, 2, 2, 1, -2, 1, 4, 0, 1, 0, 0, 0, -1, 1, -2, 0, 0, -1, 1, 1, 0, -2, -1, 0, 0, 0, 0, 1, 0, 4, 0, -2, 1, 0, 0, 0, -1, -1, 2, -2, 1, 0, 2, -1, -1, 2, 1, 1, -2, 1, 1, 0, 6, 1, 1, 0, -1, 2, -1, 1, 0, 0, -1, -1, 0, -1, 0, 0, 1, 0, 0, -1, 0, -2, 1, 4, 1, 0, -1, 1, 1, 1, 0, 0, 1, 0, 1, -2, -1, 1, 1, 1, 0, -1, 0, 1, 1, 1, 4, 1, -1, 1, 0, 0, 0, 1, 1, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 4, -1, 1, 0, 1, 1, -1, 0, -1, 0, 2, 1, -1, -1, -2, -1, 1, -1, 0, -1, -1, -1, -1, 4, -1, 0, 0, 1, -1, 1, -1, 1, -1, 0, 1, 1, 0, -2, 1, 1, 0, 2, 1, 1, 1, -1, 4, 0, 0, -2, 0, 0, -2, -2, -1, 0, -1, 0, -1, 1, -1, -2, -1, -1, 1, 0, 0, 0, 0, 6, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 2, 0, -1, -2, -1, 0, -2, 0, -1, 1, 1, -1, 1, 2, 2, 0, -2, 1, -1, 1, 4, 0, 2, 1, -1, -2, 0, 1, -2, 1, -1, 1, 0, -1, 1, 1, 2, 1, -2, -1, -2, 2, 0, 4, 2, 0, 1, -1, -1, -1, -2, 1, 0, 0, 1, 0, -1, 1, 2, -1, -2, 0, 0, 2, 2, 2, 4, 0, 0, -2, 0, 1, -3, 1, -1, 1, 1, -1, 0, 2, 3, 0, -3, 0, -1, 0, 1, 0, 0, 4, 1, -1, 1, -1, -2, 1, -1, -1, 0, 1, 0, 1, 2, 1, -2, -1, -2, -1, -1, 1, 0, 1, 4, 1, 0, 0, -1, 1, -1, -2, -1, 2, -2, 0, 1, -1, -1, -1, 1, -2, -2, -1, -2, -1, 1, 4, 1, 0, 2, 0, 1, 0, -1, 0, 0, -2, -2, 0, 2, -1, 2, -1, 0, -1, 0, 1, 0, 1, 4, 0, -1, 0, 0, 1, 1, -1, 0, 1, 1, 2, -1, -1, -1, 0, 1, -1, 1, -1, 0, 0, 0, 4, -1, 0, -1, 1, 0, -1, 0, 1, 1, 1, -1, 0, 0, -2, -2, -2, -3, -2, -1, 2, -1, -1, 6, -2, 1, 0, -2, 1, 0, -3, -4, -1, 4, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, -2, 4, 1, 0, -1, 0, 1, 1, 2, 0, -2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 0, -1, 1, 1, 4, 0, 0, -1, 1, -1, -2, -1, 1, 1, 1, 1, 1, 0, 1, -1, -2, 0, 1, 1, 0, 0, 0, 4, 0, -1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, -1, -1, 1, 0, -2, -1, 0, 0, 4, -2, 0, 1, 1, 0, -1, 1, -1, -1, -1, 0, -1, 1, 2, 0, -1, -1, 1, 0, -1, -1, -2, 4, -2, -1, -1, 0, 1, -1, 1, 1, 1, -1, 0, 0, -2, 0, 0, 0, 0, 1, 1, 1, 0, -2, 4, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, -2, 1, 1, -3, 1, -1, 1, 1, -1, 1, 4, 3, 1, -3, 1, -1, 2, 2, 2, 3, 2, 1, -2, 1, 1, -4, 2, -2, 0, 1, -1, 0, 3, 6, 1, -4, 0, -2, 0, 1, -1, 0, 1, -1, 0, 2, 1, -1, 0, -1, 2, 0, 0, 0, 1, 1, 4, -1, -1, -1, -2, -2, -2, -3, -2, -1, 2, -1, -1, 4, -2, 1, 0, -1, 1, 0, -3, -4, -1, 6, 1, 2, 1, -1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, -1, 1, 4, 0, -1, -2, 0, -1, -2, 1, 2, -1, 0, 2, 0, 1, 0, -1, 1, 0, -1, -2, -1, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 0, 0, -1, 2, 0, -2, -2, -1, 2, -1, -1, 2, 0, -2, 0, 0, 0, -2, 4, 2, 0, 1, 0, -1, 1, -2, 1, 2, 2, 1, 0, 0, 2, -1, 0, 0, 0, -1, 0, -2, 2, 4, -1, 0, 1, 0, 0, -2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, -1, 4, 1, -2, 1, 0, 1, 1, -1, -2, -1, -1, 1, 1, 1, -1, -2, 1, 0, 1, -1, 1, 0, 1, 4, 0, 0, 2, -1, -1, 0, 1, 1, -2, 0, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, -2, 0, 4, 0, 1, -1, -1, 0, 2, 0, 2, 0, -1, -1, 2, -1, -2, 0, 1, 0, -1, 0, 1, 0, 0, 4, 1, 1, 0, -1, -2, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, -1, 1, 0, 0, 2, 1, 1, 4, -1, 0, 1, 2, 0, -1, 0, 1, -1, 1, 0, -1, -1, 0, 2, -2, -2, 1, -1, -1, 1, -1, 4, -1, -1, -2, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 0, 1, 1, 1, -1, -1, 0, 0, -1, 4, 0, -1, -1, -1, 1, 2, 1, -1, -1, 1, -1, 1, -2, 2, 1, -1, 0, 0, -1, 1, -1, 0, 4, 3, 0, -1, 1, 1, -2, 1, 1, -1, -1, 0, -2, 2, 1, -2, 1, 2, -2, 2, -2, -1, 3, 6, 0, -1, 0, 1, -3, 3, 0, -3, -1, 1, -1, 1, 1, -1, 1, 0, -1, 0, -1, -1, 0, 0, 4, 1, -1, 0, 0, -1, 0, 0, 1, -1, 2, 0, 0, -1, -2, 2, 0, -1, 1, -1, -1, -1, 1, 6, -2, -1, 1, 0, -1, 0, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, -1, -2, 4, 0, -1, 0, -1, 0, 0, 2, -1, 2, 1, 1, 1, -1, 0, 1, -1, 2, 1, 1, 0, -1, 0, 4, 1, 0, -1, 0, -1, 1, 2, -1, 0, 1, 0, -1, 1, -1, 1, 1, -2, -3, 0, 1, -1, 1, 4, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 2, -1, 1, -1, -1, 1, 3, -1, 0, 0, 0, -1, 4, -1, -2, 0, 1, -2, 0, 0, -2, -1, -1, 1, 0, 1, -1, 1, 0, 0, -1, -1, -1, -1, -1, 6, 1, 0, -2, 0, 0, 0, 1, -1, -2, 1, -1, 1, 1, -1, -3, 0, 0, 0, 0, 1, -2, 1, 4, 1, -1, 0, -1, -1, 0, 0, 0, -1, -1, 1, -1, -1, -1, 1, 1, 0, -1, 0, 0, 0, 1, 4, -1, 0, 0, 1, 1, 0, 1, 0, 0, -1, 1, 0, 1, -1, -1, 2, 1, 0, 1, -2, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -2, 2, 1, 0, 1, -1, 0, -1, 1, -1, 1, -1, -2, 1, 1, 1, -1, -1, 1, 2, 4, 0, -2, 1, -1, 0, -1, 1, 1, 0, 0, -1, 0, 0, -1, 2, 0, 2, 0, -1, 0, 2, 0, 4, -1, 1, 0, 1, 1, -2, -1, 0, 1, -1, 1, 0, -1, 0, 0, -1, 0, -1, 2, -2, -2, -1, 4, -1, -1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, -2, 0, 2, 0, 2, 1, 1, -1, 4, -1, 1, 0, -1, 0, 0, 2, 1, 2, 1, -2, 2, 0, 2, 0, 0, 1, 1, -1, 0, -1, -1, 6, 1, 0, -2, 0, 0, -1, 0, -1, -2, 0, -2, 0, -1, 0, 0, 1, 0, 0, 1, -1, 1, 1, 4, -2, -1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 1, 0, 0, 2, 1, -1, 1, 1, 0, 0, -2, 4, 0, 0, -1, 1, -1, 1, 0, 0, 0, 1, -2, -1, 1, 0, -1, 1, -2, 0, -1, -2, -1, 0, 6, 2, -2, 1, 0, 1, 0, 0, 1, 2, 2, -2, 1, -1, 0, 1, -1, -1, 0, 0, -1, 0, 2, 4, -1, 0, 1, 0, -1, 0, 2, 1, 2, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 4, -1, 1, 0, 1, 1, 0, -2, -1, 2, -1, 0, 1, 0, 1, 0, 2, -1, 0, 1, 1, 0, -1, 4, 0, 2, 0, -1, 1, 0, 0, -1, 1, 1, -1, -1, -1, 0, 1, 0, 0, -1, 0, 1, 1, 0, 4, 0, 1, 0, 1, -1, 2, 1, 0, 0, 1, 0, 1, 0, 2, -1, 0, 1, 1, 0, 0, 2, 0, 4, 0, -1, 1, 1, 0, -1, 1, 1, -1, 0, 0, 1, 1, -2, 1, 0, 0, -1, 1, 0, 1, 0, 4, -1, 0, -1, 1, 1, 0, 1, -2, -1, -1, 0, -2, 0, -1, 0, 0, 0, 1, -1, 0, -1, -1, 4, 0, -1, -2, 1, 0, -1, 1, 2, 0, -1, 2, -2, -1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 4, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, -2, 0, -1, 1, -1, -1, 0, 4, 1, -2, 1, 0, 1, 2, -1, -2, 2, -1, 1, -2, 2, 2, -1, 0, 2, 0, 1, -2, 2, 1, 6, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -2, -1, 2, -1, 1, -1, 1, 1, 0, -2, -1, 4, 0, 0, -1, -1, -1, 2, 0, 0, 0, 1, 1, 0, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 4, 0, 1, 0, 2, 0, 1, 1, 2, 0, -1, -1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 0, 1, 1, 1, -1, 0, 0, -1, 2, -2, 1, 1, 0, -2, 1, -2, -1, 0, 2, 4, 1, -1, -1, 0, 0, -1, 0, -1, 1, 0, 0, -2, 0, -1, 0, -2, 0, -2, 0, 1, 0, 1, 4, -2, 1, -1, -1, 1, 1, -1, -1, 1, -2, 0, 1, -1, 0, 1, 1, 0, -1, 0, 1, -1, -2, 4, 0, 2, 2, 1, 0, 1, -1, -2, 2, 0, 1, 2, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 4, -1, 1, 0, -1, 1, 0, 0, 0, 1, 1, 1, 1, 2, -1, 1, -1, -2, 1, 0, -1, 2, -1, 4, 2, 1, 1, -1, -1, -1, 0, 0, 1, 1, -1, -1, 1, 0, -1, 1, 1, 0, -1, 2, 1, 2, 4, 0, -1, 0, 0, -2, 1, 0, 0, 2, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 0, 1, 0, 4, 0, 0, -1, -1, 1, 0, 1, 0, -1, 0, 1, 0, -1, 1, -1, 0, 1, 0, -1, 1, -1, 0, 4, 0, -1, 0, -2, 0, 1, 0, 1, 0, 0, 0, -1, 1, 0, -1, -1, 1, 1, -1, 0, 0, 0, 4, 0, -1, 0, 0, 0, 1, 2, 1, -1, 0, 0, -1, 0, 1, -1, -1, 0, -1, 0, -1, -1, 0, 4, 0, 1, -1, -2, -1, 0, -1, -2, -1, 2, 0, -1, 0, 1, -2, 0, -1, -2, -1, 0, -1, 0, 4, -1, 0, 0, -2, 0, 1, 1, 0, 0, 0, 2, 0, -2, 2, 0, 0, 1, 1, -2, 0, 1, -1, 6, 0, -1, 0, 1, -1, -1, 0, 1, 1, -2, -2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 4, -1, 0, 0, 2, -1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, -2, 0, -1, -1, 4, 1, 0, 0, 1, 0, -2, 0, 1, -1, -1, 2, 1, 1, 2, 0, 0, 1, -1, -2, 0, 0, 1, 4, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, -1, 0, -1, 1, 2, 0, 0, 1, 0, 0, 1, 4, 1, -1, 0, 0, 0, -2, -2, 1, 0, 2, -1, 0, 0, 0, 1, -1, 1, -1, 2, 0, 0, 1, 4, 0, 2, 0, -1, 1, 0, 1, 0, -1, 1, 0, 1, 0, -1, -2, 1, -1, -1, 1, 0, -1, 0, 4, -1, -1, 0, -2, -2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 2, -1, 4, 1, 0, -1, 0, -1, -1, -1, -1, 0, -1, -1, 0, 2, 0, 1, 0, -2, -1, 0, 0, -1, 1, 4, 0, 0, 1, 0, 0, -2, 1, -1, 1, 1, -1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, -1, -2, -1, 0, -2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, -2, -2, 6, 2, -2, 1, -2, 2, 2, -1, 2, 3, 1, -1, 1, 0, 1, -3, 1, -2, 0, -1, -1, 0, 2, 4, -1, 0, -1, 0, 1, -1, 0, 2, 1, 1, -1, -1, 1, -2, 1, 0, -1, -1, -2, 1, -2, -1, 4, -1, 1, 0, -1, 0, 1, -2, -1, 0, 0, -1, 0, 2, 0, 2, -1, 0, -1, -2, 1, 0, -1, 4, -1, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1, -2, -1, -2, 0, 1, 2, -1, -2, -1, 1, -1, 6, -1, 1, 3, -1, 1, 1, 2, -2, -1, -1, 0, -1, 1, -1, 1, 2, -1, 2, 0, 0, 1, -1, 4, -1, 1, 0, 2, 1, -1, 1, -1, 1, -1, 1, 0, -1, -1, 0, -2, 2, 1, -1, 0, 1, -1, 4, 0, 1, 2, 0, 0, 0, -1, 0, -2, 0, -1, -1, 0, 1, -1, -1, -1, 0, 0, 3, 1, 0, 4, -2, 2, 1, 0, 0, -1, -1, -1, -1, 0, -1, 1, 1, 0, 2, 0, 1, 0, -1, 0, 1, -2, 4, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, -2, 3, 2, -2, 1, 1, 2, 2, 2, 0, 6, 2, 0, -1, -1, 1, -3, 1, -1, -1, -1, 0, 1, 1, 1, -1, -1, 1, 1, 0, 1, 0, 2, 4, 0, -1, 0, 1, -1, 1, 1, 0, -1, 0, 0, -1, 1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 4, -1, -1, 0, -1, 0, 1, -1, 0, 0, 0, 1, -1, 0, 0, -2, 1, 0, 0, 0, -1, -1, -1, 4, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, -1, -1, 0, -1, -1, -1, -1, 0, -1, 0, -1, 0, 4, -1, 1, 0, -1, 2, 0, 0, 0, 1, 1, 0, -1, -1, 1, 0, -1, 1, 1, 1, 0, 0, -1, 4, 0, 2, 1, 0, -2, -1, 2, -3, -2, 2, -2, 0, -1, -2, -1, 0, -3, -1, -1, -1, 1, 0, 6, 1, 1, 1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 0, -1, 1, 1, 1, 0, 0, 0, 2, 1, 4, 1, 0, -2, -1, 2, -2, 0, 2, -2, 1, 0, -1, 0, 0, -1, 1, 1, 0, -1, 1, 1, 1, 4, -1, -1, -1, 1, 0, -1, -1, 0, -1, -1, -1, -1, 0, -1, 0, -1, 0, 2, 0, 1, 0, -1, 4, 1, 0, 0, -1, -1, 0, 1, 1, -1, 0, 1, -1, -1, -1, 0, 0, 0, -2, 0, -2, -1, 1, 4, 1, -2, -1, -2, -1, 2, 2, 0, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 1, 1, 4, -1, -2, 0, 1, -1, 1, 2, 1, 0, 0, -1, 0, 1, 0, -2, 0, 0, 0, 0, 1, 2, -1, 4, -1, 0, -2, 0, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, 0, -1, 0, 1, 1, -2, -2, -1, 6, -2, 2, 1, 0, 0, 1, -2, -1, 1, -1, -1, 1, 1, 2, -1, -2, 0, 1, 1, 0, 0, -2, 4, -2, -1, 0, -1, -1, 0, -1, 1, -1, -1, -2, 1, 0, 1, 0, 1, -1, -1, 1, -2, 2, -2, 4, 0, 1, 0, 1, 0, 1, -1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 4, -1, 1, 1, 0, 0, -1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, -1, 4, 1, 1, 1, 0, 1, 0, -1, 0, 0, -1, -1, 1, 0, 0, 2, 2, 1, 0, -1, 0, 1, 1, 6, 2, -1, -2, -1, -2, 1, 0, -1, 1, 0, -1, 1, 1, 0, 1, -1, 1, -1, 1, 1, 1, 2, 4, -1, -1, 0, -1, 0, 0, 1, 1, 1, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, -1, -1, 4, 1, 0, 2, 1, 0, 0, -2, 0, 2, -1, -1, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 1, 4, -1, 2, 0, 1, -1, -2, -1, 1, 0, 0, 0, -1, 1, 1, 1, -1, -1, 1, -1, 0, 0, -1, 4, -1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 2, 2, -1, 4, 0, 1, -1, -1, -1, 1, 0, 0, 0, 1, -1, -1, -1, 1, 1, -1, 1, 0, 1, 0, -1, 0, 4, -1, -1, -1, 2, 1, -1, 0, 0, 0, 1, 1, -2, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 4, 0, 0, -2, 0, 0, 2, -1, -2, -1, 1, 1, -1, 1, 0, -1, 1, 0, -1, 1, -1, -1, 0, 4, 0, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, -1, 1, 1, -2, -2, 0, -1, -1, 0, 0, 4, 0, -2, 1, 1, 0, 0, -1, -1, 1, 0, 1, -1, 0, 1, 0, -1, 0, -1, 2, -2, 1, 0, 4, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0, 1, -1, -1, 2, 1, 0, 1, 1, 0, 0, -2, 0, 4, 0, -1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 4, 0, 1, 1, 1, 1, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 2, -1, 1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, -2, 0, 0, -2, 1, 0, 2, -1, 1, 1, -1, 0, -1, -2, 0, 1, 1, -1, -2, 4, 1, -2, 0, 0, 0, 2, -1, 1, -2, 0, 0, -1, -1, -1, -1, 0, 1, -2, -1, -1, -2, 1, 4, -2, 2, 0, 1, 1, -1, 0, -1, 1, 1, -2, 0, 1, 0, 1, 0, 0, 0, 1, 2, -2, -2, 4, 0, 1, -1, -1, 1, 0, 2, -1, 1, 1, 1, 0, 1, -1, -1, 1, 0, 0, -2, 0, 2, 0, 6, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 4, 1, -1, 0, 2, 0, 1, 2, 0, 0, 1, 1, -1, 0, 1, -1, -1, 0, 0, 1, -1, 2, 1, 4, -1, 1, 0, 0, 0, 2, 0, -1, 1, -1, 0, 1, 0, 1, -1, -2, 2, 1, -1, 0, -1, -1, 4, 0, -1, -2, 1, 0, -1, 1, 0, -1, 0, -1, -1, -1, 0, 1, -1, -1, 1, 1, 0, 1, 0, 4, -1, 1, 0, 1, 2, 1, 0, -1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, -1, -1, 4, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, -1, 0, 2, -2, -1, 2, 0, 0, 0, -2, 1, 0, 4, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1, 0, 1, 0, 0, -2, 4, 1, -1, 1, 1, 1, 0, -1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 6, 0, 0, 2, 0, -2, -1, 1, 0, -1, 1, -1, -2, 1, 0, 0, 0, -1, 2, 0, 2, -1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 2, 0, -1, 1, 1, 0, 0, 1, 0, 0, 4, -1, 1, 1, 0, 1, -1, 2, 0, -1, 1, 0, 0, 1, 1, 0, 0, -1, 0, 1, 2, 0, -1, 4, 1, -1, -2, 1, 0, 0, -1, -1, 0, 1, 1, 1, -1, -1, -1, 1, 0, 1, 0, 0, 1, 1, 4, 1, -1, 1, 0, 2, -2, 0, 1, -1, 2, -1, 0, 0, 0, 0, 0, 0, -2, 0, 1, -1, 1, 4, 1, 0, 1, 2, 0, 1, 0, -1, 1, 0, 1, -1, 1, 1, 0, -1, -1, 0, 0, -2, -1, 1, 4, -1, 0, 0, 1, -2, 0, 1, 0, 1, 0, -1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, -1, 4, 1, 1, 1, -1, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 4, 0, -1, -1, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, -1, 0, 2, 0, 2, 2, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, 1, -1, -1, -1, -1, -1, -2, 0, 0, 1, 0, 1, 0, 2, 1, -1, 1, 0, 4, 2, 1, 0, 0, 2, -1, 1, -1, 2, 0, 0, -1, -1, 0, -1, 2, -1, 2, 2, 1, 1, 2, 4, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, 0, 1, 1, 2, -1, 1, 2, 1, 2, 1, 0, 4, -2, 0, 0, -2, 1, -1, 0, -2, 1, -1, 1, 0, -1, 1, 2, 2, 0, 0, -2, 0, 0, -2, 4, -1, 1, 2, -1, 1, 1, 2, -1, 1, -2, -1, 1, 1, -1, 0, 1, 1, 1, 0, 0, 0, -1, 4, 0, -1, -1, 1, -2, -1, -1, 1, 0, 0, -1, 0, 1, 1, -2, 0, -1, 2, 1, 0, 1, 0, 4, 1, 1, 0, 2, 0, -1, 1, -1, 1, 0, 1, -1, 0, 2, 0, -1, -1, 0, -2, 2, -1, 1, 4, -1, 0, 0, 1, 0, 2, 0, 1, 1, 0, -1, -1, 0, 0, -1, 1, 0, 1, -1, -1, 1, -1, 4, -1, 2, 0, 1, -1, 0, 0, -1, 0, -1, -1, 2, 0, -1, -1, 0, -1, 1, 1, 0, 0, -1, 4, -1, 1, -2, 1, -1, 1, 1, 0, 0, -1, -1, -1, -1, 2, 2, 0, 1, -2, 2, 0, 2, -1, 6, 0, -1, 0, -2, 0, 1, 2, -1, 1, 3, 0, -2, 0, 0, -2, 2, -1, 0, 1, 0, 1, 0, 4, -1, -1, -1, 0, 0, 0, -2, -2, 0, 0, 0, 0, -1, 1, -1, -1, -1, 0, 1, -2, -1, -1, 4, -1, 2, -1, -1, 0, 0, 1, 1, 1, 0, -1, 0, -1, 1, 1, 1, 2, -1, 1, 0, -1, -1, 4, -1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 1, -2, 0, -1, 0, 0, -1, -2, -1, 2, -1, 4, 0, -1, -1, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 0, 1, 0, 0, -1, 1, 0, 4, 1, 0, -1, -1, 0, -1, 1, -1, 1, -1, 1, -1, 0, 1, -1, 1, 1, 0, -1, 1, -1, 1, 4, 0, 0, -1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 4, 0, 3, 2, 1, 2, -1, -1, 2, -1, 1, -1, -1, -1, 0, -1, -2, 0, 0, 1, -1, 0, 0, 4, 1, -2, 0, 1, 2, 1, 2, 0, 1, 0, -1, -1, -1, 1, -2, 1, 0, 0, -1, -1, 3, 1, 6, 1, 1, -1, 2, 2, 0, 1, -2, 2, 0, 2, -1, 3, 0, 1, 0, -1, 0, 1, 2, -2, 1, 6, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 1, 1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, 2, -1, 1, 1, 0, 1, 1, 0, 0, 1, -1, -1, 1, 1, 1, 0, -1, 2, -1, 4, 1, -1, 0, -1, 0, 0, 0, 1, 1, -1, 1, -1, -1, 2, -2, -2, 0, 1, 1, -2, 2, 1, 4, 0, 2, -2, 1, 1, -1, 2, 1, -1, 1, -1, -2, 1, -1, 0, 1, 1, 0, 0, -1, -1, 0, 4, -1, 0, 1, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 1, -1, 2, 0, 2, -1, 4, -2, 0, 1, 1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, -2, 0, -2, 4, -1, -1, 0, 0, -1, 1, 0, -1, 1, -1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 4, 2, -2, 1, 2, 0, -1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, 1, 1, -1, 2, 4, 0, 0, 1, 1, -1, 0, -1, 0, 0, -1, 1, -1, 1, 0, 0, 0, -1, -1, 1, 0, -2, 0, 4, -2, 0, 1, 0, 1, -1, 0, 0, -1, -1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, -2, 4, 1, -1, 0, -1, -1, 0, -1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, -1, 2, 1, 0, 1, 4, -1, -1, 0, -1, 1, -1, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 1, 1, -1, -1, 4, 1, 0, 1, 0, 2, -1, 0, -1, 1, 1, 0, 1, 1, -1, 1, 0, -1, -1, 0, 0, -1, 1, 4, -1, 0, 1, 0, 0, 0, 2, 0, 0, 1, -1, -1, 0, 1, -1, -1, 0, 1, -1, 0, 0, -1, 4, 1, -2, 1, 1, -1, -1, -1, 1, -1, -1, -2, 0, -1, 1, 0, -1, -1, -1, -1, 1, 0, 1, 4, 0, 1, 0, 0, 0, 0, 1, -1, 2, 1, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, -2, 0, 4, -2, -2, 0, 1, 2, -1, 1, -2, -1, -1, 0, 1, 0, 0, 0, -1, -1, 2, 0, 1, 1, -2, 4, 1, 0, -1, -1, 2, 1, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, 0, -2, 1, 4, 0, 0, -2, 1, 1, 0, 1, -1, 0, 1, 0, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 0, 1, 0, 1, 1, -1, 1, 0, -1, -1, 0, 0, -1, -1, 2, -1, 0, 1, -1, 0, 0, 4, 1, 0, -1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 0, 2, -1, -2, 0, 1, 4, -1, 2, -2, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, 2, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -2, -1, 1, -1, -1, 1, 0, 2, 4, 1, 1, -1, -2, -1, 0, -1, -1, 0, -2, 1, 2, -2, -1, -2, 0, -1, 0, 0, 1, 2, 1, 4, 2, -1, -2, 0, 0, -2, -1, 0, 0, -2, 1, -2, 0, 0, 0, 0, 0, 1, -1, 2, 1, 2, 4, 0, 0, -1, 0, -1, 1, 0, -1, 0, 0, -2, 0, 1, 0, 0, 0, 1, -1, 1, -1, -1, 0, 4, 2, -1, 0, 0, 1, 0, 1, -1, 0, 2, -1, 1, 0, -1, 0, 1, 0, -1, -2, -2, 0, 2, 6, -2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, -1, 1, 1, -1, -1, -1, -1, 0, -1, -1, -2, 4, -1, 0, 1, 0, 0, -1, -1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 4, 1, 1, -2, 0, 1, 0, -1, -1, -2, 2, 1, -2, -1, -1, -1, -1, -2, -1, 0, 2, 0, 1, 4, 2, -1, 1, 0, 0, 2, 1, 0, 1, 1, -1, -2, -1, 1, -1, -1, 1, 1, 1, 1, 1, 2, 6, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 0, -2, -1, 0, 0, 0, 0, 1, 0, -2, -1, 0, 4, 0, 1, 1, 0, 0, 1, -2, 0, 2, 0, 0, -1, -2, 0, -1, 1, 2, 0, 0, 1, 0, 0, 4, -2, 0, 1, 1, 1, -1, 0, 0, 0, -1, -1, 1, -2, 0, -1, 0, -1, 1, 0, 1, 1, -2, 6, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 2, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, -1, 4, -1, 0, -1, 0, -1, 0, 0, 0, -1, -2, -2, -2, 2, 2, 1, -1, 2, 0, 0, 1, -1, -1, 6, 0, 1, 0, 1, 0, -1, 1, -2, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, 4, 2, 0, 0, 0, 0, 0, -1, -2, 0, 1, 1, 2, 0, -2, 0, 0, 1, 1, -1, -1, 1, 2, 4, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 2, 1, 0, -2, -1, -1, 0, 0, 0, -1, 4, 0, -2, 0, 0, -1, -1, 0, 0, -1, 1, 1, 1, 1, 1, 0, 0, 1, -1, 1, 0, 0, 0, 4, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0, -2, -1, 0, 2, 0, 1, 0, 0, 0, 1, -2, 0, 4, 1, 0, 1, 0, 1, 1, 1, -1, 1, -1, -2, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, 1, 4, 0, 0, 1, -1, -1, 0, -1, 0, -1, -1, -2, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 0, -1, -2, 0, -2, -1, 0, 2, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, 4, -1, 1, 1, 1, -1, 1, 0, -1, -1, 1, 1, 1, 1, 0, -1, 1, 1, -1, 1, -1, 0, -1, 4, -2, -2, 0, -1, 0, 0, 1, 2, 1, -2, -1, -1, 1, -1, -1, 0, 1, 0, 2, -2, 1, -2, 6, 0, 2, 2, 1, 1, -1, -1, -2, 2, 1, -1, -1, 1, 1, -1, -1, 1, -2, 0, 1, -2, 0, 4, 1, -1, -1, 0, -1, -2, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, -1, 1, 0, 2, 1, 4, -1, 0, 0, -1, 0, 0, -1, -1, -1, 0, -1, 1, 1, -1, 0, -1, -2, -1, -1, 2, -1, -1, 6, -1, 0, 1, 1, -2, 2, 0, -1, 0, 1, -2, -2, 2, -1, 0, 0, 1, 0, 1, -1, 0, -1, 4, 0, -1, 0, 1, 1, 2, 0, -1, 1, 2, 1, -2, 1, -1, -2, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, -1, 1, 0, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1, 1, -1, -1, -1, 1, -1, 0, 4, 0, -1, -1, -1, 0, 2, -1, -2, -2, 1, 1, 2, 0, -1, 2, -1, -2, 0, 1, 0, 0, 0, 4, 0, 0, 0, -1, -1, 1, -1, 0, 1, -1, 0, 2, 1, 1, -2, -1, 0, -2, 1, -1, -1, 0, 4, -1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, -2, 2, 0, -1, 2, 1, 1, -1, 0, -1, 4, 2, 0, -2, 1, 1, -1, -1, 0, -1, 0, 1, -1, 1, 0, -1, 0, 2, 0, -1, 0, 0, 2, 4, 0, -1, 1, 1, 0, -1, 1, -1, 0, 1, -1, -1, 0, -1, -1, 0, 1, 0, -1, 1, 0, 0, 4, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, -1, 0, 2, -1, 0, -2, -1, 0, 4, -1, -1, -1, 1, 1, 2, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 0, 1, 1, -1, -1, 4, 0, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, -2, 2, 1, -2, -1, 0, 1, 1, 0, -1, 0, 4, 1, -2, 1, -1, 1, 1, 0, -1, 1, 1, -2, 1, -1, -2, 0, 2, -1, 0, 1, -1, 0, 1, 4, -1, -1, -1, 0, -1, 1, -1, -1, -1, 2, -2, -1, 1, 1, 0, -1, -1, 0, 1, 0, -2, -1, 4, 0, 1, 0, 1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, 0, 1, 0, 1, 0, 1, -1, 0, 4, 0, 0, -1, 2, -2, -1, -1, 0, -1, 0, 2, 0, 0, -1, -1, 0, 2, -1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, -2, -1, -1, -1, 1, 1, 0, -1, 1, -1, 2, -1, 2, 0, 0, 0, 1, 0, 1, 4, -1, 1, 0, 1, 1, -2, -1, 2, 1, 1, 2, 1, 2, 1, -1, -1, 1, 1, -1, -1, 0, -1, 4, -2, 0, -1, 0, -1, 1, 1, -2, 0, -2, 0, -1, 0, 0, 2, -1, -2, 1, -1, -2, 1, -2, 6, 1, 3, 2, 0, 0, -2, 0, 2, -1, 2, -2, -1, -1, 0, 0, 0, -2, -1, -2, 0, 0, 1, 4, 2, 1, 1, -2, 0, 0, 0, 1, 0, -2, 1, -2, 0, 1, 0, -1, 0, -1, 1, -1, 3, 2, 6, 3, -1, 0, -2, 0, 2, 1, 2, -2, 0, 0, 0, 1, 0, -3, 1, -1, 1, 0, 2, 1, 3, 4, -2, 0, 0, 0, 2, 1, 2, -2, 1, -1, 0, 1, 0, -2, 1, -1, -2, -1, 0, 1, -1, -2, 4, -1, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, 0, -2, 0, 0, -1, 4, -2, 0, 1, -2, 1, 0, -1, 1, 0, -2, 0, 0, 0, 1, 2, 1, -2, 0, -2, 0, -1, -2, 6, -1, -1, 2, -1, 1, 1, 0, 1, 2, -1, 1, -1, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, 4, 0, 2, 1, 2, 1, -1, -2, 0, 2, -1, 1, -1, 1, 0, 2, 0, 2, 2, -1, 1, -1, 0, 4, -1, 2, -1, 1, -1, -1, -1, 0, -1, 0, 1, 2, -2, -1, 1, 1, 1, -1, -2, 2, 2, -1, 6, -1, 2, 1, 0, -2, 3, 2, -1, 2, -1, 1, 0, 2, 0, 2, 2, -1, 1, -1, 1, 2, -1, 4, -1, 1, -1, 0, -1, 0, -1, 0, 2, 2, -1, -2, -2, -2, -2, 0, 0, 1, 2, -1, 2, -1, 6, 0, 0, -2, 1, 2, 0, 0, -1, 1, 0, -1, 1, 0, 1, 0, -1, 1, 1, 1, 1, 1, 0, 4, -1, -1, 0, 1, 0, 1, 2, -1, 0, -1, -2, 0, -1, 0, 1, 0, -1, -1, 0, -1, 0, -1, 4, 1, 0, -1, 1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 1, -2, -1, -2, 0, -2, -1, 1, 4, 0, -2, 1, -1, 0, 1, -1, 0, 1, 1, 1, 0, -2, 2, 0, -1, 3, -1, 1, 0, 0, 0, 4, 0, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 0, 2, 1, -1, -2, 0, 4, 0, 1, 1, -1, 1, -2, -1, -3, -2, 1, 0, 1, -1, -1, -1, -1, 0, 0, 1, 1, -1, 0, 4, -1, 0, -1, -1, -1, 0, 1, 1, 0, 0, -1, 1, 0, 2, 0, 0, 1, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 2, -1, 1, -2, 1, 1, 0, 0, 1, 0, -1, -2, 1, -1, -1, 0, 1, 1, 4, -2, -1, -2, -1, 0, 2, -1, 0, 0, -1, 1, -1, -1, 0, -2, 0, -1, 0, -1, -1, -1, -2, 4, 0, 0, 1, 1, -2, 0, 0, 1, 0, -1, 1, 1, 1, 1, 1, 0, -1, 1, -1, 1, -1, 0, 4, 2, 0, 1, 1, 0, 0, 0, 2, -1, 2, 1, 1, 0, 0, 0, 0, 0, 1, -1, -2, 0, 2, 4, -1, 0, -1, 1, 0, -1, 2, -1, 1, 1, 0, 2, -1, 0, 1, 0, 0, 2, -1, 1, 0, -1, 4, -1, 0, -1, 0, 1, 0, -1, 1, 1, 0, -1, 1, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 4, -1, 1, 1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 2, -2, 1, -1, 0, -1, 6, 0, -1, -1, 1, 1, 0, -1, 2, -3, -1, 0, 1, 1, 1, -2, -1, 0, 0, 1, -1, 1, 0, 4, -1, 0, 0, 1, 0, -1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, -1, 4, -1, -1, 1, -1, 0, -1, 0, 1, 0, -1, -1, 0, 1, 0, 1, 0, -1, 1, 0, -1, 0, -1, 4, -1, -1, 2, 0, 0, 0, 2, 0, -2, 0, -1, 0, -1, 0, 2, 2, 0, 0, 1, 0, -1, -1, 4, -1, 1, 0, 1, 0, -2, -1, 1, 1, 1, 0, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 4, -2, -1, -1, 0, -1, 2, 1, 0, 1, 1, -1, 1, 2, 1, 1, 0, 0, 0, -1, 2, 1, -2, 4, 0, 1, 0, 1, -1, -1, 1, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, 0, 2, 0, -1, 0, 1, -1, 1, 0, 4, 0, 0, -1, 0, 1, 0, -2, -2, 1, 0, 2, -1, 1, -3, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 1, 0, 1, 0, -1, 1, 0, -1, 0, 1, 2, -2, -1, 1, 0, 0, 0, 4, 0, -2, 0, -1, -1, -1, 0, 0, 0, -1, 1, 0, 2, 0, 0, -1, 2, -1, 0, -1, 1, 0, 4, 0, 0, 1, -1, 0, -1, 0, 1, -1, 0, 1, 0, -1, -2, 1, 1, -1, 0, 0, 0, -2, 0, 4, 1, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 0, 1, 0, 1, -1, 1, 0, 0, 0, 1, 4, 0, 1, -1, -1, 1, 0, 1, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, 0, 0, 1, 1, 1, 1, -1, 1, 1, -2, -1, -1, 1, -1, 1, 1, 4, -2, -2, 0, 1, -1, 1, 0, 1, 0, 2, 0, -1, 0, 2, -2, 1, 0, -1, 0, -1, -1, -2, 4, 0, -1, -1, 1, -1, 1, -1, 0, -2, -1, 1, 1, 0, 2, 1, -1, -1, 1, -1, -1, -2, 0, 6, 2, -2, -1, 0, 1, -2, -1, 0, -2, -1, -2, -1, 0, -3, 2, 3, 2, 2, 1, 0, -1, 2, 4, 1, 1, -1, -1, -1, 1, 0, -1, -2, -2, 1, -1, -2, 0, 2, 1, 1, 2, 1, -1, -2, 1, 4, 1, 0, -2, 0, 1, 0, 1, 0, 0, 1, -2, 1, -1, -1, -1, 0, 1, -1, 1, -1, 1, 1, 4, -2, -1, -1, 2, -1, 0, 1, 0, 1, 0, 1, -2, -1, 0, 0, 0, 1, -1, 0, -1, 0, -2, 4, 0, 0, 0, 1, 1, 0, 1, 0, -1, 0, 2, 0, -1, 1, 0, 0, 1, 1, -1, -2, -1, 0, 4, 1, 0, 0, 0, -1, 1, -1, 1, -1, 0, 1, 0, 0, 1, 1, -1, -2, -1, 0, -1, 0, 1, 4, 0, 1, 1, -1, 1, -1, 0, -1, -1, 1, -1, -1, 1, 0, 0, -1, 1, 1, 2, 0, 0, 0, 4, -1, 1, 0, 0, 0, 0, 1, 0, -1, -1, 0, 1, 2, -2, 0, 0, 0, -1, 1, 0, 1, -1, 4, -1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, 0, -1, -2, -1, 1, 0, 1, 0, 1, 1, -1, 4, 0, 1, -1, 0, 0, 0, 0, -2, 1, -1, -1, 1, -1, -2, 0, 1, 0, -1, -1, 0, 0, 0, 4, 1, 0, 0, 3, 0, -3, 0, -1, 1, 0, 1, -2, -2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 4, 0, 0, 0, -1, -1, -1, 0, 1, 2, 0, -1, 1, 1, 1, 0, -1, -1, 0, 1, -1, 0, 0, 4, -1, 1, -1, -1, 1, 0, -2, -2, 2, 0, -1, -2, 0, -1, 1, 0, 0, -2, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, -1, 1, 1, -3, -2, 1, 1, 0, -1, -1, 1, 0, 0, 3, 0, 1, 0, 6, 0, -4, 0, -2, -1, 0, -1, 2, 0, -1, -2, 2, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 4, 0, 0, 1, 1, -1, -1, 3, 2, -1, -1, 0, 1, 1, -1, 0, 0, -3, -1, -1, 0, -4, 0, 6, 1, 2, -1, 0, 1, 2, 1, -1, 0, -1, 0, -1, -1, 0, -2, 0, -1, 1, 0, 0, 0, 1, 4, -1, 1, -1, -1, 2, 1, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, -2, 1, 2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, -1, 1, 1, 1, 2, -1, -1, 1, 2, 0, -1, 1, -1, -1, 0, -2, 0, 1, 4, 0, 2, -1, -2, 0, -1, -1, 2, 0, 0, 2, -1, -1, -2, 1, -2, -2, 0, 1, 0, -1, 0, 4, -1, 2, -1, -2, 0, 1, -2, -1, 2, 0, -1, 1, -1, -2, 1, 0, -1, 1, 1, 1, 2, -1, 4, -2, -2, 1, 0, -2, 1, 0, 0, 2, 1, 0, -1, 2, 0, -2, 1, -1, -1, -2, -1, 2, -2, 6, -1, -2, -1, 1, -3, 0, 0, 0, -3, -1, 1, -3, 2, 1, 1, 3, 0, -1, -2, -1, -2, -1, 6, 2, -1, 1, 0, 2, 0, -2, -1, -1, 2, -1, -1, 2, 0, 1, -1, 1, 0, -2, 1, -2, 2, 4, -1, -1, 2, 1, -1, 0, 1, -1, 0, 1, -1, -1, 0, -1, -2, 1, -1, 0, 0, -1, -1, -1, 4, 1, -1, -1, 0, -1, 1, 2, 0, 1, 1, 1, -1, -1, 0, 1, -1, 1, -2, 1, 1, -1, 1, 4, 0, -1, 0, -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 2, 2, -2, 1, -3, 0, 2, -1, 0, 6, -1, -2, 0, 2, -2, 0, 3, -3, -2, 0, -2, 0, -1, 0, -1, 0, 0, 2, 1, -1, -1, -1, 4, 1, 0, -1, 0, 1, 0, 0, 1, 1, 1, -1, -1, 0, 2, 0, 0, 0, -1, 0, 0, -2, 1, 4, 0, 0, 2, 0, -1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, -2, 0, -1, -1, 0, 0, 0, 4, -1, 0, -2, 0, 0, -2, 0, 0, 0, 2, -1, -1, 1, -3, -1, 1, 1, 0, 2, -1, 0, -1, 6, 1, 0, 2, 0, -1, 0, -4, 1, 0, -1, 1, 0, -1, -1, -1, 2, 0, -2, 0, 2, 0, 1, 4, -1, 0, 1, 1, -1, -1, 0, -1, -2, -1, -1, 1, 2, 0, 0, 1, 0, 1, 0, -2, 0, -1, 4, 0, 1, 2, 2, 0, -1, 1, 1, -2, 2, -3, -1, 1, 1, -1, 3, 0, -1, 0, 2, 0, 0, 4, -1, -1, 0, -2, 0, -1, -2, 1, 0, 2, -1, -1, 1, 0, -3, 0, 1, 0, 0, 1, 1, -1, 4, 1, 1, 0, 0, -1, -2, 0, -2, 1, 2, -1, 1, 1, -2, 1, 1, -2, -1, 1, 2, -1, 1, 4, 0, 1, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 2, 0, 1, 0, 4, 1, -1, -2, 1, 1, -1, 3, 1, -1, -1, 0, -2, 1, 0, 0, -4, -1, 0, -2, 0, 1, 1, 6, -1, 0, 0, 1, -1, 0, -1, -2, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 1, -1, -1, 2, 1, -2, -1, -1, 1, 1, 0, 1, -2, -1, 0, 1, -1, -1, 2, 4, -2, 2, 1, 1, 1, 1, 1, 0, 0, -2, 1, -1, 1, 1, -2, 0, -1, 0, -1, -2, -1, -2, 4, -2, -1, -1, -2, 1, 0, 1, 1, 2, -1, 0, -1, -1, 1, -1, 1, 1, 1, 0, 2, 2, -2, 4, 0, 1, 1, 0, 0, -1, -1, -2, 0, 0, 0, 0, -1, -1, -1, 1, 0, -1, 1, 1, -1, 0, 4, 0, 1, -1, -1, 0, 1, -2, 2, -1, 2, 2, -2, 1, -1, -1, -2, -1, -1, 1, -1, 1, 0, 4, 1, -2, -1, 0, 0, 0, -1, -2, 0, 1, 0, 1, 0, -1, 1, 0, -1, 1, -2, 1, 1, 1, 6, -3, -2, 1, -1, -1, 2, 0, 2, -1, 1, 1, -2, -1, -2, 0, 2, 1, 1, 0, -1, -2, -3, 6, 2, 0, 0, -1, 0, 0, -2, 0, -1, -1, 2, 1, 0, 0, 1, 1, 0, 0, -1, -1, -2, 2, 4, -1, 0, -1, -1, 0, 0, 1, 0, 0, 1, 0, 1, -1, -2, 0, 1, -1, 0, 0, 1, 0, -1, 4, 2, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 0, -1, 0, 0, 2, 4, -1, 0, -1, 0, 0, 0, 1, 1, -1, 0, -1, -1, -2, 2, -2, -2, 0, -1, -1, -1, 0, -1, 6, -2, 2, -1, -1, 1, 0, 0, 0, 1, 1, 1, 1, -1, 0, 2, -1, 2, 0, -1, 0, 0, -2, 4, 0, 1, 0, -1, 0, -1, 0, -2, 0, 1, -1, 0, 0, -1, -2, 0, 0, 0, -1, -1, 2, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 2, 0, 2, -2, 0, 0, 0, -1, 1, 0, 4, 1, -1, 0, -2, -1, -1, -1, 1, 1, -1, 0, 2, 1, -1, 0, 1, -1, 0, -1, 0, -1, 1, 4, -1, 1, 0, -1, 0, 0, -2, -2, 1, -1, -2, 0, 1, -1, 0, 1, 0, 1, -1, 0, -1, -1, 4, 0, 1, 0, 1, 2, -1, 0, -1, -1, 1, 1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 4, 1, -2, 0, 0, 0, -1, 1, -1, -1, 0, -2, 2, 1, 0, 1, 0, -1, 0, -2, 0, 1, 1, 4, -1, 1, 1, 1, 0, 1, 1, -1, -1, -1, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, -2, -1, 4, 1, 0, -1, -1, 1, 0, -2, 1, -2, 0, 1, 0, 0, 1, -2, 0, -1, 0, 1, 0, 1, 1, 4, 0, -1, -2, 0, -1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, -1, 0, 2, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, 1, 0, 0, 0, 0, -2, -2, -1, -1, 0, -1, 2, 0, 1, 0, 1, 1, -1, 4, -1, -2, -1, -2, 0, 1, -1, 1, 1, 1, 2, -1, 0, 0, 0, 1, 1, -1, -2, -2, -2, -1, 6, -2, -1, 2, -2, -2, 1, -2, 1, 1, -1, 3, 1, -1, -1, -1, 0, 1, 1, -1, 2, -2, -2, 6, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, -2, 2, -1, 1, -1, -1, 0, 1, 2, -1, -1, 0, 4, 0, 0, 1, -1, 1, -2, -2, 0, -2, 1, 0, 1, 0, 0, 0, 0, 0, 1, -2, 2, 1, 0, 4, 0, -1, 2, -2, 0, 0, -1, 2, 1, -1, 0, 0, 1, 0, 1, 1, 0, 0, -2, 1, 0, 0, 4, 0, 1, 1, 0, 0, 0, -2, -1, 1, -1, 1, 0, -1, 0, 1, 0, 1, -2, 0, 1, -1, 0, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 0, -1, -1, 0, -1, 1, 2, -1, 2, 1, 0, 4, -2, 0, 1, 0, 1, 0, 1, -1, 1, -1, -1, 0, 0, 0, 1, -2, 0, 1, -2, 1, 0, -2, 4, 0, 0, 1, -2, 0, 0, -1, 0, 0, 0, -1, 0, -2, 1, 1, 0, -2, 0, 0, 0, 0, 0, 4, 1, 1, 2, -1, 0, -1, 1, 1, -1, -1, -1, -2, 1, 1, 0, -2, 0, 0, 0, 1, 0, 1, 4, 0, 2, 0, 1, -2, 1, -1, -1, -1, -1, -1, 2, -1, 0, 0, -1, 0, 1, 0, 1, 1, 0, 4, -1, 0, 1, -1, 1, 0, -1, -2, -1, -1, -1, 3, 1, -2, 2, -2, 0, 1, -2, 2, 2, -1, 6, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 1, -2, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 4, -1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 2, 0, -1, 1, 1, 1, 0, 0, 1, 1, 0, -1, 4, -1, 1, -2, -1, -1, 0, 2, 0, -1, -1, 1, 0, -1, 1, -1, -1, -1, -2, -1, -1, 0, -1, 4, -1, 1, 1, 1, 1, 0, 1, -1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, -1, 1, -1, 4, 1, -2, -1, -1, 1, 1, 0, -1, 0, 1, 0, -1, -1, 0, 1, -1, 0, 0, 0, -2, 1, 1, 4, -1, 0, 0, 0, -1, 1, -1, 0, 0, -1, 0, -1, 0, -1, -1, -1, 0, 0, -1, 1, -2, -1, 4, 2, 1, 1, -2, 1, 0, 0, 1, 0, -1, 0, -1, -1, -1, -2, 1, 0, -1, 1, -1, 0, 2, 4, 1, 1, -2, -1, 1, 0, 1, 1, -1, 0, 0, -1, -1, -1, -1, 0, 0, 1, -1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, -2, 0, 2, 0, -1, 2, 0, 1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 1, 1, 4, 1, 0, 0, 1, 1, -1, -1, -1, 1, 2, 0, -1, 1, -1, -1, 1, 0, -1, 1, -1, 1, 1, 4, 1, -1, -1, 2, 0, 1, -1, 1, 2, 1, 1, 1, 0, -2, -1, 1, -1, 1, 1, 1, 0, 1, 4, -1, -2, 0, 1, -1, 2, 1, 0, -1, 1, 0, -1, 1, -2, 2, 0, 1, 1, -2, 0, -1, -1, 4, 0, -1, 1, 0, -1, 0, 0, -1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, 1, -1, -2, 0, 4, 1, -2, -1, 0, 0, 0, 1, -2, 1, 1, -1, 2, -2, 1, 0, -2, 2, 1, 2, 0, -1, 1, 4, -1, -1, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -2, -1, 4, 0, 1, -1, 0, 0, 1, -1, -1, 0, -2, 2, -1, -1, 1, -1, -1, 1, -1, 0, -1, -1, 0, 4, -1, 0, 0, 1, 2, 0, 0, -1, 0, 0, -1, 0, 0, 2, -1, -1, 2, -1, 0, 1, 1, -1, 6, 0, -1, 1, 0, -1, -2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, 4, 0, -1, 1, 0, 0, 0, 1, 1, 1, 1, -1, 1, 2, 2, 0, 0, 0, 1, 0, 0, -1, 0, 4, 0, -1, 1, 0, -2, 0, 0, -2, 0, 0, 1, 0, 1, -1, -1, 1, 1, 0, 1, 1, -1, 0, 4, 0, 1, -1, -1, 1, 0, 0, 1, 1, 0, -1, 1, 1, 0, -2, -1, 1, 2, 0, 1, -1, 0, 4, -1, 0, 0, -1, 1, 0, 1, 1, -1, 1, 1, 0, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, 4, 0, -2, 0, 0, 0, 1, 0, -1, -1, 0, -1, 1, 1, 0, -1, 0, -2, 0, 0, -1, 0, 0, 4, 0, 0, -2, 1, 0, 0, 0, -1, -2, 1, -1, -1, -1, 0, -1, 1, 0, -2, -1, 0, -2, 0, 4, 0, 0, 1, 0, 1, 0, 1, -1, -2, 0, 2, 0, -2, 0, 0, 1, 0, 1, -1, 0, 0, 0, 4, -1, 1, 1, -1, 1, 0, 1, 2, 0, -2, 0, 2, 0, 2, 1, 0, 0, 1, 0, -2, 0, -1, 4, -1, 0, 1, 0, -1, -1, 0, 0, 1, 0, -1, -1, 0, 1, -2, 0, 0, 0, 1, 1, 1, -1, 4, 1, 0, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 4, 0, 1, -1, 1, 1, -1, -2, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, -1, 1, 2, -2, 2, 1, 2, 1, 0, -2, 1, 1, 2, 1, 2, -2, -1, 1, -1, 4, 0, 0, -1, 1, -1, 0, 1, 1, 1, -1, 0, 1, -2, 1, -1, -1, -2, 1, 2, 1, -2, 0, 4, 0, 1, -1, -1, 0, 0, -1, -1, -1, 1, 2, -1, -1, -1, 1, -1, 2, 1, 0, 1, 0, 0, 4, 1, -1, 2, -1, 2, 2, 0, -1, 0, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 4, -2, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -1, -1, -2, 4, -1, -1, 1, 0, 1, 0, 1, 0, 0, 1, -1, 1, -1, 0, 0, 1, 2, -1, -1, 2, 0, -1, 4, 0, 2, 2, 1, 1, 0, -2, 1, 0, 2, 0, 1, -2, -1, 0, -2, 0, 0, -1, 1, -1, 0, 4, -2, 0, -1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, -2, 6, 3, 1, 0, 0, -1, -1, 2, 2, 0, 0, -1, 1, 1, 1, 1, -1, 2, 0, 0, 2, 0, 3, 4, 1, 0, -1, -1, -1, 1, 1, 0, 0, -1, 1, 0, 2, 1, -1, 0, -1, 1, 1, -1, 1, 1, 4, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, 0, 1, 0, 0, 0, 1, 4, -1, -1, 2, 0, 2, 0, 1, -1, -2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 1, -1, 4, 0, 0, -1, -1, 1, 0, 0, 0, 0, -2, 1, 2, -1, 0, 0, -2, 0, -1, -1, 0, -1, 0, 4, -2, 0, -2, 0, -2, 2, 1, 0, 1, -2, -1, -1, 0, 0, 1, 0, -1, -1, 0, 2, 0, -2, 4, 0, 1, 0, 1, -1, -2, 0, 1, 1, -1, -1, 0, 1, 0, -1, 2, 1, 1, 0, -1, 0, 0, 4, 1, -1, -1, 0, 0, 1, 2, -1, -1, 1, 0, -1, 2, -1, 2, 1, 0, 2, -1, -2, 1, 1, 4, 0, 2, -2, -1, 1, 1, -1, 1, 1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 4, 1, 0, 0, 0, 2, -2, -1, 1, 0, -1, 1, -1, 0, 0, 0, 1, 0, -2, 1, -1, 2, 1, 4, -2, -1, 0, -2, 1, 2, -1, 0, 0, -2, 0, -1, -1, 0, -1, 0, 2, -1, 0, -2, 0, -2, 4, 2, 0, -1, 2, 1, 1, 0, 0, -1, 0, 1, 1, 0, -2, 0, 1, -2, 0, -1, 0, -1, 2, 4, 0, 1, 1, 0, -1, -2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, -1, 1, 2, 2, 0, -1, 1, 2, 2, 1, -1, 2, 0, 1, 0, -2, 1, 1, 4, 0, -2, -1, 0, 2, 0, 1, 1, 0, 0, 2, 1, -1, 1, 1, -1, -1, 1, 0, 1, -1, 0, 4, 1, -2, 0, 1, 0, 1, 1, 0, 0, -2, 1, -2, 1, -2, 1, -2, -1, -1, 0, -1, -2, 1, 4, -1, 1, 0, -1, -1, 1, 1, -1, -1, 0, -1, 0, -2, 1, 1, 0, -1, -1, 2, -1, -2, -1, 6, -2, -1, 0, 1, 0, -1, 2, 1, 1, 3, 0, 0, 1, 2, 0, -2, -1, -1, 0, 0, 1, -2, 4, 0, 0, -1, -1, 0, -2, 1, -2, -1, 0, -1, 0, 0, 1, 0, -1, 1, 2, 1, 0, -1, 0, 4, 1, 2, 0, -1, 0, 2, 2, -1, 1, 0, -1, -1, 0, -1, 0, 2, 0, 0, -1, 0, 0, 1, 4, 2, -2, -2, 0, 0, 1, 1, -1, 2, 0, -1, 0, 0, 1, 2, 1, 1, -1, 1, -1, 2, 2, 4, -1, -1, 1, 0, 2, 0, 1, 0, 0, -1, -1, -2, 0, 0, 1, 1, 1, 0, -1, 0, -2, -1, 4, 1, 0, 0, 1, -1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, -2, -1, 1, 4, -1, -1, -1, -2, 0, -1, -1, 1, -1, 0, 1, 1, 0, 0, -1, 2, -2, 0, 0, 1, 0, -1, 4, -1, 1, 1, 1, 1, 1, 0, -1, -1, 0, 2, 2, -2, -1, 1, 1, 2, 0, 0, 0, -1, -1, 6, 1, 1, 0, 1, -2, 1, 2, -1, 0, 2, 1, 1, 0, 1, -2, 2, 1, 2, 1, -1, 1, 1, 4, 0, 0, 0, 0, 0, 0, -2, 1, 1, -1, -2, -1, 3, -1, -1, 1, 0, -1, -2, 1, 1, 0, 4, 0, 1, 0, 1, 1, 0, -1, -1, 1, 1, 0, 0, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 4, -2, 0, -1, 0, 0, -1, 2, 1, -2, -2, 0, -1, 0, 2, 0, -1, -1, 1, 1, 0, 1, -2, 6, 0, 0, 0, 2, 1, 0, -1, 1, 1, 1, 0, -1, 0, 0, 1, -1, 1, -2, 0, 0, 0, 0, 4, 0, 0, 0, -1, 1, -1, -2, 1, 2, 0, -1, -1, -1, 0, 1, 0, 1, 0, 1, -1, 0, 0, 4, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, -1, 0, -1, -1, 2, 0, 1, 0, 0, 0, 0, 4, 1, 0, -2, 0, -1, -1, -2, 0, -1, 0, -2, -1, 0, -1, -1, -2, 0, 0, 2, 0, -1, 1, 6, 0, 1, 1, 0, -1, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 1, 1, 1, -1, 1, -1, 1, -2, 1, 0, -1, -1, 1, -2, -1, 1, 4, -1, 0, -1, 0, 1, -1, 0, -1, 1, 1, -1, 1, 1, 0, -1, 1, -2, -1, 0, 1, -1, -1, 4, -1, 0, 1, 0, 0, 1, 0, 0, -1, 1, -1, -1, 1, -1, 0, 0, 0, 1, 0, -1, 0, -1, 4, -1, -2, 0, 1, 0, 0, -1, 1, 0, 1, 0, 1, -1, 0, 0, 0, 2, 1, 1, -1, 0, -1, 4, 0, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 2, 1, 1, -1, -2, -1, 1, 0, 1, -2, 0, 4, 1, 1, 1, 1, 1, -1, 1, -1, -1, 0, 0, -1, -1, 1, -2, -1, 2, 1, 0, 0, 1, 1, 4, 0, 0, -1, 0, 0, 0, 0, -1, 2, -1, 1, -1, -1, -2, 0, 1, -1, 0, 1, 0, 1, 0, 4, 2, 1, 0, 0, 0, 0, -2, 1, -1, -1, -1, 1, 0, 0, 1, 0, 1, 0, -1, 1, 0, 2, 4, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 0, 0, -1, 1, -1, 1, 1, 4, -1, 0, 0, 1, -1, 0, 0, -2, 0, 2, 0, -1, -1, 1, 0, -1, 0, 1, 0, 0, -1, -1, 4, -1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, 1, 1, -1, 1, 0, -1, 0, 0, -1, 0, -1, 4, -1, 2, -1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 4, -1, 0, 0, 1, 0, 0, 0, 0, -2, 1, 1, -1, 1, 0, -1, 0, 0, -1, 1, -1, 2, -1, 4, -1, 0, 0, 0, -1, 0, 0, 0, -2, 1, -1, 0, -1, -1, -1, -2, -1, -1, 1, -1, 0, -1, 4, -2, 0, 1, 1, -1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, -2, 4, -1, 0, -1, 0, 1, 1, 0, -1, -1, -1, 2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, -1, 4, 0, 1, 0, -1, -1, -1, 1, 0, 0, 1, -1, 1, -1, -1, -2, 1, -1, 0, 0, 1, 0, 0, 4, 0, -2, 0, 1, -1, -2, 0, 0, 1, -1, -1, -1, -1, 0, 0, -1, 0, -1, 1, -1, 1, 0, 4, 0, 0, 0, 1, -1, 0, 0, -1, 1, -1, 1, 1, 2, -1, 0, 0, 0, -1, 0, 0, -2, 0, 4, 1, -1, -2, 0, 1, 2, -2, -2, -2, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 6, 1, -1, 1, 0, 1, -1, -1, 0, 0, 1, -1, 1, 0, -2, 0, 1, 1, -1, 1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 0, -1, 1, 1, 1, -2, -1, -1, -1, -1, 1, 1, 1, 1, -1, 0, 0, 1, 4, 0, 2, 0, 0, -1, 2, 1, 0, -1, -1, -1, -1, -2, -1, 2, 1, 0, -1, 1, -1, -1, 0, 4, -2, 0, 1, -1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, -2, -2, 2, 1, 1, 2, 2, -2, 6, -2, -2, -2, 0, 2, -1, -3, -2, 1, 1, -2, -1, 2, 2, 1, -2, 1, -2, -1, 0, 0, -2, 4, 0, 1, 0, 0, -1, 2, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, -2, 0, 4, -1, 0, -1, 2, 1, 1, 0, 0, 1, 1, 0, -1, 0, 1, -1, 1, -1, -1, -1, -2, 1, -1, 4, 0, -1, -1, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, -1, 1, 1, 2, 1, 0, 0, 0, 0, 4, 0, 1, -1, -1, -1, -1, 0, 0, 2, 1, 0, -1, 0, 0, 1, 1, 1, 2, 0, -1, -1, 0, 4, 0, 0, 0, 1, 1, 0, 0, 2, 0, -1, 0, 1, -1, 1, 0, 1, -1, -1, 2, -1, 1, 0, 4, -1, 0, 0, 0, 1, 2, 1, 0, 1, 0, -1, 0, -2, -1, 2, -3, 2, 1, 0, -1, 0, -1, 6, 3, 1, 1, 2, -1, -2, -3, -3, 3, 0, 0, -1, -1, 2, -2, 0, 1, 0, -1, 0, 0, 3, 4, 0, 1, 1, 0, -1, -2, -2, 2, 0, 1, -1, -1, 0, 1, 0, 0, -1, -1, 1, 0, 1, 0, 4, 2, 1, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, -1, -1, 1, 0, 1, 1, 2, 4, 1, 0, 0, 0, -1, 0, 0, -1, -1, -2, 1, -2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 4, 0, -1, -1, 0, 1, -2, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, 2, -1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, -1, 0, -1, 2, 2, 1, -2, -1, 0, 0, -1, 1, 4, 1, 0, -1, 1, 0, 1, 1, -2, 2, 0, -1, 0, 1, 0, 0, -3, -2, -1, 0, -1, 0, 1, 4, 2, -2, 0, -1, 1, 0, -2, 1, -1, 0, 0, 0, -1, 1, -3, -2, -1, -1, 0, 0, 0, 2, 4, -2, -1, 0, -1, -1, 2, -2, 0, 1, 0, -1, 0, 0, 3, 2, 0, 0, 1, 0, -1, -2, -2, 4, 1, 1, 0, 1, 1, 1, -1, -1, -1, 0, 1, -1, 0, 0, 0, 0, -2, 0, 1, 0, -1, 1, 4, 0, 0, -1, 1, -2, -1, 1, 1, 0, -1, 0, 0, 1, -1, -1, 0, 1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, 1, 2, -1, -1, -1, -1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 1, 0, 1, 2, 4, 0, -2, 1, 2, -1, -1, 0, 0, 1, 1, 0, 0, -1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 4, 1, -1, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -2, 1, 4, -1, 0, 0, -1, 0, 1, -2, 0, 0, -1, 1, -1, -1, -1, -2, 1, 0, -1, 1, 1, -1, -1, 4, 1, -1, 1, 0, 1, 0, 0, 2, -1, -2, -1, -1, 1, 0, -1, -2, 0, 2, 2, 1, 0, 1, 4, 0, 0, -1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, -1, 0, -1, 0, 4, 0, -1, -1, 1, 0, -1, 0, 1, 2, 0, 0, 0, 0, 1, -1, -1, -1, -1, -1, 1, 0, 0, 4, 1, 1, -1, -1, 1, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0, -1, -1, 1, 4, 1, -1, -1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 0, -1, 1, 1, 4, -2, 0, 1, -1, -1, -2, 0, 1, -2, -1, -1, 0, 1, 1, -1, -2, 0, -1, 1, -1, -1, -2, 6, -1, -2, 1, 0, 1, 1, 1, 1, -1, 2, -2, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, -1, 4, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, 1, 0, 1, -2, -1, 4, -1, -1, -1, -1, 0, 0, 0, -2, 1, 1, 0, 0, -1, -1, -1, 0, 0, 1, -1, 1, 0, -1, 4, 1, 2, 0, 0, 1, 0, 1, 0, -1, -1, 0, 1, -2, 0, 1, 0, 1, -1, 0, -1, -1, 1, 4, 1, -1, -1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, 2, 0, 0, -2, 1, 0, -1, 2, 1, 4, 1, -1, 1, 1, 1, 1, 1, 2, 0, -1, -1, 0, 0, -1, -1, 0, 1, 1, -1, 0, -1, 1, 4, -1, 1, 1, 1, 1, -1, 0, -1, -1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, -1, -1, -1, 4, 0, -2, 0, -1, 1, 2, -1, -2, 0, 1, 0, 0, 0, -2, 1, 0, 0, 1, 0, 1, 1, 0, 4, 0, 0, 1, 1, 0, 1, 1, -1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 1, 1, -2, 0, 4, 1, 1, 0, 0, 1, 0, -2, -1, 1, -1, 0, -1, 2, 0, -2, 1, 1, 1, 1, 0, 0, 1, 4, -1, 1, 1, 1, -1, 0, 1, -1, 1, 1, 0, -2, 0, 1, 0, 0, 1, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 1, 0, 0, -1, 1, -2, -2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 6, 3, -2, -3, 0, 1, 2, -2, 3, -1, 0, 1, 1, 2, -3, -2, -2, 1, 2, -1, 2, 1, 3, 6, -3, -2, 2, 2, 2, -1, 1, 1, 1, 0, 1, 0, -2, -1, -1, 2, 2, -1, 0, 0, -2, -3, 4, 2, -1, -2, -2, 1, -2, 0, -1, 0, 0, 1, 1, 1, 0, -2, -2, 0, 1, 1, -3, -2, 2, 4, -1, -1, -1, 1, -3, 0, 0, 0, -1, 0, 1, 1, 2, 0, -1, 1, -1, 0, 0, 2, -1, -1, 4, 2, 0, -1, 0, 0, 1, 0, 1, -2, -1, 1, -1, 1, 1, -1, 1, 0, 1, 2, -2, -1, 2, 4, 0, -2, 0, -1, 0, 0, 1, -2, -1, -1, -1, 2, 2, -1, 1, -1, 2, 2, -2, -1, 0, 0, 4, -1, 2, 2, 1, 0, -1, -1, -2, -1, 0, 1, 0, 1, -2, 1, -2, -1, 1, 1, -1, -2, -1, 4, 0, 1, 0, 0, -1, 0, 1, 2, 2, 0, 0, 1, -1, -2, 3, 1, -2, -3, 0, 0, 2, 0, 6, 1, 0, -1, -1, -1, -2, 0, -1, 0, 2, 1, -1, -2, -1, 1, 0, 0, 0, -1, 2, 1, 1, 6, -1, -2, 0, -2, 0, -1, 1, 0, 0, 0, -2, 1, 0, 1, -1, 0, 1, 0, 1, 0, 0, -1, 4, 0, 0, -1, -1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 4, -1, 2, -1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 0, -1, 1, 1, -1, -1, -1, 0, 0, -1, 4, 0, 0, -1, -1, 0, 1, -2, 3, 2, 2, 0, 1, 0, -2, -2, -1, 0, -1, -2, -1, 2, 0, 6, 0, -1, -1, -1, -1, 0, 1, 0, -3, -2, 1, 1, -1, -1, -2, 1, -2, 0, -1, -1, 0, 0, 4, 0, 1, -1, -1, 0, -1, 1, -2, -1, 1, 1, 1, -1, -1, 2, 0, -1, 2, 0, -1, -1, 0, 4, 1, 0, 0, 1, 0, 1, -2, -1, 0, 2, -1, -1, 0, 2, -1, 1, 1, 0, -1, -1, 1, 1, 4, 1, 1, 1, -1, 1, 1, 2, -2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 1, 4, 2, 0, 0, 1, 2, 2, -2, -1, 1, 2, 0, 0, 2, 0, 1, -1, 1, -1, -1, 0, 1, 2, 6, 0, 1, 0, -1, -1, 0, 1, -1, -1, 1, 1, 1, 0, 0, 0, -2, 0, 0, 1, 1, 0, 0, 4, -3, 1, 2, 0, 1, -1, 1, 1, -2, -1, -1, -2, 0, 1, 3, 1, -1, 0, -1, 0, 1, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, 1, 2, 0, -2, 1, 1, 1, -1, 2, 0, 2, -1, -1, 1, -2, 1, 1, 4, -2, 2, 1, -1, 2, 2, 1, -2, -1, 2, 1, 1, -1, 0, 0, -2, -2, 2, -2, 0, -1, -2, 4, -2, 0, 1, -1, -1, 0, 0, 1, -2, -1, 0, 0, 1, 0, 2, 1, -2, 0, 1, 1, 2, -2, 4, 1, -1, 1, 0, 1, -2, 0, 2, 1, 0, 1, -1, 0, -2, -2, 2, 0, -1, 2, 1, 0, 1, 4, -1, 2, 1, 0, -2, 1, 0, 0, 1, 2, 0, 1, 0, -2, 0, -2, 0, -2, -1, 1, -1, -1, 4, -2, 0, -1, 0, 1, -1, -1, -1, -2, 1, 0, 0, 0, -1, 0, 0, 1, 2, -1, 1, 2, -2, 6, 0, 2, 1, -2, 1, 1, 2, 2, 1, -1, -1, -1, 1, 0, 1, 2, 2, -1, 0, 1, 0, 0, 6, -2, -3, 0, 0, 2, -2, 0, -1, 2, 0, -1, 0, -4, 2, 0, 1, 0, 1, 0, -1, 2, -2, 4, 0, -1, 1, -1, 1, 1, 0, -1, -1, -1, 1, 1, 0, -2, -2, 0, -2, -2, 0, 1, -3, 0, 6, -2, -1, 0, 1, 0, 1, -2, 1, 2, -1, 3, -1, 1, -1, 1, 0, 1, 1, -2, 0, -1, -2, 4, 0, 0, -1, 0, 0, 2, 0, 0, 0, -1, 0, 1, 2, -2, 2, 0, -1, 1, 0, 1, -1, 0, 4, 0, 0, 0, 0, 1, -2, -1, 2, 0, 0, 1, 1, -1, 1, 0, -1, 1, 2, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 0, 1, -1, 2, -2, 1, 1, -1, 0, 0, 4, 0, 1, -2, 0, 0, 0, 1, -1, 2, -1, 0, 1, 2, -2, 2, 0, 1, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, -1, 0, 1, 1, -1, 0, 1, 0, 0, 0, 1, 0, 4, -1, -1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, -1, 2, -1, -2, 2, 1, 0, -2, 0, -1, 4, 0, -1, 0, -2, 1, -1, -2, 2, -2, 0, 0, -1, 0, -1, 1, 0, -2, 0, 0, 0, -1, 0, 4, 1, -2, 0, 0, -1, -2, 1, -2, -2, 0, -1, -1, -1, 2, 0, -1, 0, 0, 0, 1, -1, 1, 4, -1, 2, 1, 1, 2, -2, 2, 0, -1, 1, 0, 1, -1, 0, 2, 0, 0, 0, 0, 0, -2, -1, 4, 1, 0, -2, -2, 0, 0, -2, 0, 0, -4, 1, 3, -1, 0, -1, 1, 1, 1, -2, 0, 2, 1, 6, -1, 1, 0, 1, -1, 0, 0, 1, 2, 0, -1, 0, 0, 0, -1, 1, 1, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 1, -1, 2, -1, -2, 1, -1, 0, 0, 0, -1, -1, -1, 0, 1, 0, -1, -2, 4, -2, 2, 0, -1, 0, 0, 0, 2, -1, 1, 1, 0, -1, 0, 2, 1, 0, -1, 1, 0, 2, -2, 4, -2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1, -1, 0, -1, 0, 1, 1, -2, 2, -2, 4, 2, -1, 1, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, -2, 0, -1, 2, 4, -1, 2, -1, 1, 1, 0, -1, -1, 1, 1, 0, -1, 0, 1, 0, -1, 0, 1, -1, 0, -1, -1, 4, 0, 2, 1, 0, 2, 0, -1, -2, 1, -1, -1, -2, 1, 2, 0, -2, -1, 0, 0, 1, 2, 0, 4, 1, 1, 0, 0, -1, -1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 2, 0, 0, 0, -1, 2, 1, 6, 1, -1, 2, 0, 1, -1, -1, 0, -2, -2, 2, 2, 1, -2, -1, 0, -1, 0, 1, 1, 1, 1, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -2, 2, 0, 1, 1, 0, 0, -1, -1, 6, 1, 0, 0, -1, 1, 0, 1, 1, -1, -1, 1, 1, 1, -1, 0, 0, 0, 2, 0, 2, 0, 1, 4, 0, 0, -2, 1, 0, -2, -2, 1, 2, -1, -1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 4, 0, 0, -1, 2, 0, -1, -1, 0, 1, 1, 0, 1, -1, 1, -1, -1, -1, 1, 0, 0, 0, 0, 4, -1, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, -2, 0, -1, 0, -1, -2, 0, -1, 4, -1, 1, 0, 1, -1, -1, 1, 1, 0, -1, 1, -1, 1, 1, 1, -1, 0, 1, 1, -1, -1, -1, 4, -1, -1, -1, 1, 1, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 1, -1, 4, 0, 0, -1, 0, 1, 2, -1, 2, -1, 0, -1, -1, -1, -2, 0, 1, -2, 0, 1, 0, -1, 0, 4, 2, -1, -2, 1, 1, -1, 1, 0, 0, 0, -2, 0, -2, 0, 1, -2, -1, 0, 1, -1, 0, 2, 4, -1, -2, 1, 1, 0, 0, -1, 1, 1, 1, 1, 2, 2, -1, 1, -1, 1, -1, 1, -1, -1, -1, 4, 1, -1, -1, 1, -1, 0, 0, 0, 2, 0, 2, 0, -1, 2, 0, 0, -1, 1, 0, -2, -2, 1, 4, 0, -1, 0, 1, 1, -1, -1, 0, 0, 1, 0, 1, -1, 1, 0, 1, -1, 1, 1, 1, -1, 0, 4, 0, -1, 0, 1, 0, 0, -2, -1, -2, -1, 1, -1, 1, 1, 1, 0, 2, 1, 1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -2, 1, 1, 2, -1, 0, 0, 0, 1, 1, 2, -1, -1, 0, -2, -1, -1, 0, 4, -1, -1, 1, 1, 1, 1, -1, 1, 0, 0, 0, -1, 1, 0, 0, -2, -1, 1, 2, -1, 1, -1, 4, 0, 0, 0, 0, 1, 2, -1, 1, 0, -1, -1, 0, 1, 1, -1, 1, 0, 0, 1, 2, -1, 0, 4, -2, -2, 0, 1, 1, 0, -1, 0, 1, 1, -1, 1, -2, 1, -1, -2, 0, -1, -2, 1, 0, -2, 4, 2, -1, 0, -2, 0, 1, 1, -1, -1, 0, -1, 1, -1, 0, 2, 0, 1, -2, 1, 0, -2, 2, 4, -1, -1, -2, 0, 1, -1, 0, -1, 1, -1, 1, -1, 0, 2, 0, 1, 1, 1, 0, 0, -1, -1, 4, 2, 0, 0, -1, 0, 1, 1, 0, 2, -1, -2, 0, -1, 2, -2, 1, 1, 1, 1, 0, -1, 2, 6, 2, -1, -2, -1, 2, 1, -2, 0, -2, -3, -2, -1, 2, 0, 2, -1, 2, 1, -2, -2, 0, 2, 6, -2, 0, 0, 0, 1, -1, 0, 0, -1, -1, -2, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, -2, 4, 0, 0, -1, -2, -1, -1, 1, 0, 1, 0, 2, -1, 0, 0, 1, -1, 1, 1, -1, -2, 0, 0, 4, 0, -1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 4, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 1, 2, 0, -1, -1, -2, 4, 1, -1, 0, -2, 0, -1, 0, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -2, 0, 0, 1, 4, 0, 1, -2, 1, -1, -1, -1, 0, 1, 1, 0, -1, 0, 1, 0, -2, -1, -1, 1, 1, -1, 0, 4, 1, 0, 0, 1, 1, -1, 0, 2, 0, 1, 1, -1, -1, 2, 0, 0, -1, 1, 0, 0, 1, 1, 4, -1, 0, 1, -1, 0, -1, -1, 0, 1, -2, 1, 1, -1, -2, 0, 1, 1, 0, -2, -2, 0, -1, 4, 0, 1, 1, 0, 1, -1, -2, -1, 1, -1, -1, -2, -3, -1, 0, 1, 0, 0, 1, 0, 0, 0, 6, 1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, -2, -1, 1, 2, 0, -1, -1, 1, 1, 1, 1, 4, 0, 0, 0, -2, 1, 0, -2, 2, 2, -1, -1, -2, 0, 1, 0, 0, -1, 1, -1, 1, 1, 0, 4, 1, 1, -1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, -1, -1, 0, 0, -1, 0, 1, 6, -2, -1, -1, 1, -1, 1, 1, -2, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, 1, 0, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 1, -2, -1, 1, 0, 0, 2, -1, 1, 1, 1, 1, -1, 1, -1, 0, 1, 1, 4, 0, -2, -2, 2, 0, -1, 2, 0, 1, 0, -1, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 4, 1, -1, 1, 2, -1, 0, 0, 1, 0, 2, -1, -1, -2, -2, 0, -2, 2, 1, 0, -1, -2, 1, 4, 0, -1, 1, 1, 0, -1, -1, -1, 1, 1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -2, -1, 0, 4, -1, 0, 0, -1, 1, -1, -1, 1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 1, 2, 1, -1, -1, 4, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, -2, 0, 2, 1, 0, -1, 4, -1, 1, -1, 0, -1, 1, -1, -1, -1, -1, 0, -2, 1, 0, -1, -1, -1, -1, 1, 0, 0, -1, 4, -2, 1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 0, -1, 1, 1, 2, 0, 0, -1, 0, 1, -2, 4, -1, 1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, 4, 0, 0, 1, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, 0, 4, -1, 0, 0, 0, -2, 0, 1, 0, 0, 1, -1, 2, 0, 0, -1, -1, 1, -1, -1, 0, 0, -1, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, -1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 4, 0, 1, -1, -2, 0, -1, 2, 0, 0, 1, 0, -1, 1, 0, 0, -1, 1, 1, -1, 0, 0, 0, 4, 2, 0, -1, 0, 1, 0, 0, 1, 1, 0, -1, 1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 2, 4, 0, 0, 0, 1, 0, 0, 1, 1, 0, -2, -1, 0, 0, -1, 1, -1, 1, -2, 1, -1, 0, 0, 4, 1, -1, 1, -1, -1, 1, 1, 1, -2, -1, -1, 0, -1, 0, 0, 0, 0, 0, -2, -1, 0, 1, 4, 0, 1, -2, 0, 0, -1, -1, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 4, 0, 0, 1, 1, 1, -1, -2, 1, 0, -1, -2, 1, 0, 0, 0, 0, -1, 1, 1, 1, 1, 0, 4, -1, -1, 1, -1, -1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, -1, -2, 0, -1, 4, 1, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, 1, 4, 0, 1, -1, 0, 1, -1, 0, -1, 1, 0, 0, -1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, 0, -1, -1, -1, 2, 2, -2, 0, 2, 0, -1, 0, 1, -2, 0, -2, 1, -1, -2, 4, -2, -2, -1, -1, 2, 2, -2, -1, 2, 0, -1, 0, -1, -1, 0, 0, 0, 2, -1, 2, 2, -2, 4, 2, -1, 0, -2, -1, 1, 2, -2, -1, 0, 1, -1, 1, 1, 0, 1, -2, 1, -1, 2, -2, 2, 4, -1, 1, -1, 0, 2, 2, -1, 0, 1, 0, 0, 1, 1, -1, 0, -1, 0, -2, 0, -1, -1, -1, 4, 0, -1, -2, -1, -2, 0, 1, 1, 0, 2, -1, -2, 0, -1, 0, 0, -1, -1, -1, 0, 1, 0, 4, -1, 0, 0, 1, 1, 1, -1, 0, 1, 2, -1, 0, -1, 1, 0, 0, -1, 2, -2, -1, -1, -1, 4, 1, 0, -1, 1, 1, 0, -1, -1, -1, 0, 0, 1, 1, 0, 1, -1, 2, -1, 0, -2, 0, 1, 6, 1, 2, 1, 1, 0, -2, 0, -1, -1, 0, 1, 1, -1, 1, 2, -2, 1, 2, -1, 0, 0, 1, 6, 3, -2, -1, 1, -2, -1, 1, 0, 0, 0, -2, -1, 0, 2, -1, 2, 2, -2, 1, -1, 2, 3, 6, -2, 0, 0, 0, -2, 1, 1, 0, 1, -2, 0, 0, -2, 2, -2, -1, 0, 1, 1, 1, -2, -2, 4, 1, -1, -1, 1, 0, -1, 0, -1, 2, -1, 1, 0, 0, -1, 0, 1, 1, 1, 1, -1, 0, 1, 4, 0, 0, 1, 0, -2, -1, 1, 1, 0, 0, 2, -1, 0, 1, 1, -1, 0, 0, 1, 0, -1, 0, 4, -1, 0, -1, 0, -2, -1, -1, 1, -1, 0, 0, 1, 0, 0, 0, -1, -2, -2, 0, -1, 0, -1, 4, -1, 1, 1, 0, 0, 0, 1, 0, -1, -1, -1, 0, 2, 1, -1, 0, -1, -2, 1, 1, 0, -1, 4, -1, -2, 0, 0, 1, -1, -1, 0, -1, 1, 1, -1, 2, -1, -1, 1, 1, 0, 0, -1, 1, -1, 4, 1, 0, -1, 0, 0, 1, 1, 0, 1, 1, -2, -1, 0, -1, 0, 1, -1, -2, 0, 1, -2, 1, 4, 0, 0, -1, 1, 0, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 1, 0, 1, -1, 1, -1, 0, 0, -1, 0, 1, 4, -1, 0, 0, -2, 2, -2, -1, 0, 1, 1, 1, -2, -2, 2, 1, -1, 0, 1, 0, -1, 0, -1, 4, 0, 1, 1, -1, 1, 0, 0, 0, 0, -1, -1, 0, -1, 0, 1, 1, -1, 0, 1, 0, 0, 0, 4, -1, -1, 2, -1, -2, -1, 0, 1, 1, 0, 0, 1, 0, -1, 0, -1, 1, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 2, 0, 1, -2, -1, -1, -2, -1, -2, 0, 2, -1, 2, 1, -1, 2, 1, 4, -1, -2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, -2, -1, 0, 0, -1, 0, 0, 1, -1, -1, 4, 0, 1, 0, 0, 0, 1, 1, 0, 0, -1, 0, -1, 2, -1, -1, 1, 1, 2, 0, -1, -2, 0, 4, 0, -1, 0, -1, 0, 1, 1, -1, -1, -1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 4, 1, 2, 1, 2, 0, -1, -2, 0, -2, -2, 2, 2, -2, 1, 2, 1, 1, 2, 1, 0, -1, 1, 4, 2, -1, 0, -1, 0, -1, -1, -1, -3, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 4, -1, 1, -1, -1, -1, 0, -1, -2, 0, 2, -1, 2, 1, 0, 2, 0, 0, 0, -1, 1, -1, -1, 4, 0, 0, 0, -1, 1, -1, 0, 1, 0, 0, -2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 4, -1, 0, -1, 0, 0, 0, 1, 1, -2, 1, 2, 0, 1, -2, 0, 1, 1, 0, -1, -1, 0, -1, 4, 1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, -1, -1, 1, 0, 1, -1, 0, -1, 0, 0, 1, 4, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, -1, -2, -1, -1, -1, -1, 0, 0, 4, 0, 2, 0, -1, -2, 0, -2, -1, 0, -1, -2, 1, -1, -1, 0, -1, 0, 1, 0, 1, 1, 0, 6, 0, 2, -1, 0, 0, -1, 0, 0, 0, -1, 1, 0, -1, -2, -1, -1, -1, 0, 0, 0, 2, 0, 4, 0, -1, -2, 1, -2, -1, 0, -1, -2, -2, -1, 2, -2, -3, -2, 0, 0, 0, 1, 0, 2, 0, 6, -2, -1, 0, 0, 0, -2, -1, 0, -1, 2, 0, 2, 1, 0, 1, 1, 0, 0, -1, -1, -1, -2, 4, 1, -1, 0, 1, 2, 1, 2, 0, -1, 1, 2, 1, 2, 0, 1, 0, 0, -2, 0, -2, -1, 1, 4, -1, 2, 1, 0, 2, -1, 0, -1, 0, -2, 0, -1, 0, -2, 1, 0, 0, 0, 1, 0, -1, -1, 4, -1, -2, 0, -1, 2, -1, 1, 1, 1, 2, 2, -2, 1, 0, 0, -2, -1, -2, 0, 0, 2, -1, 6, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, -1, 0, -1, 0, -1, 0, 1, 1, -2, 1, 4, 1, 1, -1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, -2, 2, 0, 0, 0, 1, 4, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, -1, 1, -1, 0, -1, -1, 1, 2, -1, 2, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 1, 2, -2, 1, 0, -1, 1, -2, -2, -1, 1, 1, 1, 1, -1, -1, 1, 1, 4, -2, -1, 1, 0, 1, 0, 1, 1, -1, 0, -2, 1, -2, 0, 2, -1, 0, -1, 1, 0, -1, -2, 4, 2, -2, 0, -1, 0, -1, -1, 1, -1, 1, 1, 2, -1, 0, 1, -1, 1, -1, 0, -2, -1, 2, 6, 0, -1, 0, 2, -2, -2, -1, -1, 0, 3, -1, 0, -1, 0, 0, -1, 0, -2, 1, 1, -2, 0, 6, -2, 2, -2, -2, 1, -1, 2, -3, 0, -3, 1, 0, 1, 1, -1, -1, -1, 1, 0, 0, -1, -2, 4, 1, 0, 1, -1, 1, 0, 0, -2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, -1, 0, 2, 1, 4, -1, -1, 0, -1, 1, -3, -1, -2, 2, 0, 1, 2, -1, -1, 1, -2, 0, 0, 2, -2, 0, -1, 4, 1, 0, -1, -1, 2, 2, 0, 0, -1, -1, -1, -1, 1, 0, 1, 1, -1, -2, -2, 1, -1, 1, 4, 0, 0, -1, 1, 0, 1, -1, 1, -1, 0, 0, 1, 1, 0, 1, -1, -2, 1, -1, 0, 0, 0, 4, 0, 1, -1, -1, -1, 1, -1, 1, 0, 0, -1, 0, -1, -1, 1, -1, -1, 1, -1, -1, 0, 0, 4, -1, 1, 0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 0, -1, -1, 2, 0, 1, -1, -1, 1, -1, 4, -1, -2, -2, 0, 0, 2, 0, -1, -1, 1, -2, -2, 1, 0, -3, 0, -3, 2, 1, -1, 1, -1, 6, 0, 3, -2, 0, -2, -1, 1, 2, 0, -2, 1, 1, 3, 0, -2, -1, 2, 0, -1, 0, -2, 0, 6, -1, -1, 0, -1, -2, -1, 1, -1, -1, -2, 2, -1, -3, 2, -2, 0, 1, -1, 3, -2, 3, -1, 6, 0, 0, -1, 0, 3, 1, 0, 1, 0, -1, 0, 1, 1, 2, 0, -1, 1, 0, 0, -2, -1, 0, 4, -2, 1, 1, 0, -1, 0, 1, 2, 0, -1, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, -2, 4, -1, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 1, -1, -1, 1, 0, 2, -2, -1, -1, 1, -1, 4, 0, 0, -2, 1, 1, 0, -1, 0, 1, 1, 2, -1, 0, 0, 0, 0, -1, -2, 0, 1, 0, 0, 4, 0, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, 0, 0, 2, -1, 1, -1, 3, 0, 0, 0, 0, 4, 1, 0, -1, 1, -1, 0, -1, 0, -1, 1, 1, -1, 0, -1, 2, 1, 1, -1, 1, -2, 0, 1, 4, -1, 1, 0, 0, -2, -1, 2, 1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, -1, 1, 0, 1, 0, 2, -1, -2, 0, 1, 1, 0, 0, 1, -2, -2, -1, 1, 0, 4, -1, 0, 1, 1, 0, -1, 2, 0, 0, 1, 1, -1, -2, -2, 2, 2, 1, 1, 2, 2, 1, -1, 4, -1, -2, 0, 1, 2, 0, -1, 1, 0, 1, -1, 2, 2, -2, 1, -2, 0, -2, -2, 0, 0, -1, 4, 2, -1, -2, -1, -1, 0, -2, 0, 0, 0, 1, 1, -1, 1, 1, 0, -1, -1, -1, 1, -2, 2, 4, -1, -2, -2, 0, 0, -1, 1, -1, -1, -1, -1, 1, 0, 2, 1, 1, 1, 1, 1, 0, -1, -1, 4, 0, -1, 2, 2, 1, -1, -1, 0, -2, -1, 1, -1, -1, -1, 2, 0, 0, 0, 1, -2, -2, 0, 4, 1, 1, -1, 2, 0, 0, -1, 1, -1, 1, 1, 0, 0, -1, 1, 1, -1, 2, -1, -2, -1, 1, 4, 0, -1, 0, -1, 2, 0, 2, 2, -2, 1, -1, -1, -2, -1, 0, 2, 0, -1, 0, 2, 1, 0, 4, 1, 2, 0, 0, -2, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, -1, 0, 0, 2, -1, -1, 1, 4, 0, -2, -1, 1, -1, -1, 1, -1, -1, -2, 1, 0, -1, 0, 1, -2, -1, 1, 2, 0, 2, 0, 4, 1, -1, -1, 0, -1, 1, 0, 0, 1, 0, -1, -2, 1, 0, 0, 1, -1, 0, -1, 0, -2, 1, 4, 0, -1, -1, -1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, -1, -1, 0, 2, 0, -1, -1, 0, 4, 0, 1, 1, -1, 2, 0, 0, -1, 0, 1, -1, -1, 0, -1, 0, -1, 0, -2, 1, -1, -1, 0, 4, 0, 0, 0, -1, -1, -1, 0, 1, 1, -2, 2, 1, -1, -2, 1, 2, -2, -1, 0, -1, 1, 0, 6, 2, -3, 2, 0, 0, -4, -1, 0, -2, 2, 1, -1, -1, -1, 2, -2, -1, -1, -1, 1, 0, 2, 6, -4, 1, 0, 0, -3, -3, 0, 2, -2, -1, 1, 1, 1, -2, 2, 1, 1, 0, -1, 0, -3, -4, 6, 0, 0, 0, 3, 3, 1, 2, 1, 1, 0, -1, 1, 1, 0, -1, 0, 1, 2, -1, 2, 1, 0, 6, 1, 1, -2, 1, -2, 1, -2, 1, 2, -1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 4, 1, 0, 1, -2, 1, 0, 0, 1, -1, 0, -1, 0, -2, 1, 2, 0, -1, 0, 0, 0, 1, 1, 4, 1, 0, -1, 2, -2, -1, 1, 2, -1, -2, 2, 1, 0, 0, -1, 0, -4, -3, 3, -2, 0, 1, 6, 1, 1, 2, -2, -1, 1, 0, 1, -1, 0, 0, -1, 0, 0, 1, -1, -3, 3, 1, 1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, -1, -1, 1, 1, -1, -1, -1, -1, 2, 4, 1, 0, -1, 0, 1, 0, 2, 1, 1, -1, 1, -1, -2, -2, 0, 1, 0, 1, -1, 0, 0, 1, 4, 0, 0, -1, 0, -2, 0, -1, 0, -1, 0, 1, 0, -2, -1, 0, 1, -1, 0, 0, 0, 0, 0, 4, 1, 0, -1, 1, 0, -1, 0, 1, 2, -1, 0, -1, -1, 2, 2, -1, 2, -1, 0, -1, 0, 1, 4, -1, -2, 2, 1, 1, -1, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, -2, 1, 0, -1, 0, -1, 4, 1, 2, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, -1, -2, 0, 1, 0, 1, 0, -1, -2, 1, 4, -2, -1, 0, 1, 1, -1, -1, -2, 1, 1, -1, -2, 0, 0, 2, 2, 0, -2, 1, 2, 2, -2, 6, 2, 0, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, -2, 2, 2, 0, 0, 1, 0, -1, 2, 4, 2, 1, 0, 1, -1, -1, -2, 1, 1, 0, 1, -1, -1, 1, 1, -1, -1, 1, -1, 0, 0, 2, 4, 1, 0, 1, -1, 0, 0, 2, 1, -1, 1, -2, 0, 1, 1, 0, 0, -1, 0, 1, -1, 1, 1, 4, 0, 1, 1, 0, 0, 1, 1, 0, 1, -1, 1, 0, -1, -1, 1, 0, 1, 1, 0, 0, 0, 0, 4, -1, -1, 0, 0, 1, 0, -1, -2, 1, 0, 1, 1, 0, 2, 1, 0, -1, 1, 1, 1, 1, -1, 4, 0, 0, -1, 0, 2, 1, 0, 0, 0, 0, -1, 1, -1, -1, 0, -1, -1, -1, -1, 1, -1, 0, 4, 2, 0, 0, 0, 0, -1, -1, 1, -1, -2, 0, 0, 1, -1, -2, 0, -1, 0, 0, 0, 0, 2, 4, 0, 0, 0, 1, -1, 0, -1, -1, -2, -2, -1, 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, 0, 4, 0, -1, -1, 1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 4, 1, -2, -1, -1, 1, 1, 1, 0, 2, 1, 0, -1, 1, 1, 1, 1, 0, 2, 0, 0, -1, 1, 4, 1, 0, 0, 0, -1, 0, 1, 2, 1, -1, -2, 0, 0, -1, 0, -1, 1, 0, 1, -1, -2, 1, 4, 0, 1, -1, -1, 1, -1, -1, 0, -2, 0, 0, 1, 1, 1, -2, 0, -1, -1, 1, -1, 0, 0, 6, 0, 0, -1, -1, 0, 2, 0, 0, 0, 0, -1, -2, -1, 1, 0, -1, 0, 0, -1, 0, 1, 0, 4, -1, -1, 0, 0, -1, -2, 1, 2, -2, -1, 0, 1, 0, 0, 1, -1, 1, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 0, 1, 1, 1, 2, 0, 0, -1, -2, -1, -2, 0, -2, 0, -1, 0, -2, -1, -1, 4, 0, 2, 1, -2, -2, -2, -1, 1, 1, -1, 2, -1, -1, -1, 1, 1, 1, -1, 0, -1, -2, 0, 4, -1, -1, -1, -1, 0, -2, 0, 1, 0, 0, 0, 2, -1, 2, 1, 0, -1, 2, 1, -1, 2, -1, 6, -1, -1, -2, -2, -1, 1, 1, -2, 0, -2, 1, 2, 2, 1, 2, -1, -1, -2, 0, 1, -1, -1, 4, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 1, -2, -1, -1, -1, 4, 1, 2, 1, -1, 0, 1, 0, 1, -1, 0, -2, 0, 0, 0, 1, 1, 1, -2, -1, -2, 1, 1, 4, 0, 2, 0, -1, 1, 0, 1, -1, 1, -2, -1, -2, 1, -1, 1, 1, -2, 0, -2, -1, 2, 0, 4, 1, -1, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, 1, 1, 2, -1, -2, -1, 0, 1, 2, 1, 4, 0, -1, 1, 0, 1, -2, 1, -2, -1, -1, 1, -2, 1, 0, 1, 0, 1, -1, -1, 0, -1, 0, 4, -1, -1, 1, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, 1, 1, 1, 0, 0, -1, 0, -1, -1, 4, -1, -1, -2, 0, 0, 1, 2, 0, -2, -1, -1, -1, -1, 0, -2, 0, 1, 1, 1, 1, -1, -1, 4, 1, 2, -1, 0, -1, -2, -1, 1, 1, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 6, 1, -1, -1, 0, -1, 1, 1, 2, 2, -1, -1, 0, -2, 0, 1, 1, 1, 1, 0, -2, 2, 1, 4, -1, 0, -1, -1, -1, 1, 2, 2, -2, -1, 2, 1, 0, -1, -1, -1, -2, 0, 0, -1, -1, -1, 6, 0, 2, 0, 2, 0, 0, 0, 0, -1, -1, 2, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 4, 1, 0, -1, 0, -1, 0, -2, 1, 2, 2, -1, -2, -2, -1, -2, 1, 1, -1, 0, -1, 2, 1, 4, 1, 1, -1, 1, 0, 0, 1, 1, 1, 0, 0, -1, 0, -1, 1, 2, -2, -1, -1, 0, 0, 1, 4, 0, -2, 1, -1, -1, 1, 0, 2, -1, 0, -2, -1, -1, 0, 0, -1, 1, -1, 2, -1, 1, 0, 4, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 1, -1, -2, 1, 1, 1, 0, 0, -1, -2, 0, 4, 0, 1, -2, 0, 2, -1, -1, 1, -1, 1, -2, 1, -1, 1, 2, 2, 0, -1, 1, 1, 0, 0, 6, 1, -1, -1, 1, -2, -1, 1, 1, 1, 1, 0, -1, 2, 2, 2, 0, 0, 0, -1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, -1, -1, 2, 2, 1, 1, 1, 0, 1, 1, 1, -1, 1, -1, 1, 2, 0, 0, 1, 4, -1, 0, -2, -2, 1, 0, 0, 0, 0, 0, 2, 1, -1, -1, -1, -2, 0, 2, -1, -1, 0, -1, 4, 1, 0, -1, 0, -1, 0, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, -2, -1, 1, -1, 0, 1, 4, -1, 0, -2, 0, 0, 1, 0, 1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, -2, 0, -1, 4, 1, -1, 0, -1, -1, 0, -1, 0, -1, 1, 1, 1, 2, -1, -1, 1, 2, -1, -2, -1, 0, 1, 4, 0, 1, -1, 1, 0, 0, 0, -1, 0, 2, -1, 1, 1, -1, 2, 0, 2, 1, 0, -2, -1, 0, 4, 1, 0, 1, 1, 0, 1, 1, -1, -1, 1, -1, 1, 1, 0, 0, 2, 0, -1, 0, 0, 1, 1, 4, 1, 2, 1, -1, 1, 0, 0, 0, 1, -1, 2, 2, 2, -1, 1, 0, 0, 0, -1, -1, 0, 1, 4, 1, -1, -1, -1, 1, 0, -1, 0, 0, 1, 0, 1, -1, 1, 0, 0, 1, -1, 1, 1, 2, 1, 4, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 2, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 4, 1, 1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, -1, 0, 0, -1, -1, 1, 1, 4, -1, -1, 0, 0, -1, 0, -1, -2, -1, 0, 1, 2, -1, -1, 0, 0, 1, 1, -1, 0, 1, -1, 4, 0, 0, -1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, -1, -1, 1, 0, 1, 0, 0, -1, 0, 4, -1, 0, 0, -1, 1, 1, 1, 0, 1, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 1, 0, 1, -1, -1, -1, 1, 1, 2, -1, 0, -1, 0, -1, 0, -1, 0, 0, 4, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 0, 1, 0, 1, -1, -2, 1, -1, 2, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 4, -1, -2, 1, 2, 1, 0, 0, 1, -1, 1, 1, 2, 1, 1, 0, -1, 0, 1, 0, 0, 0, -1, 4, 1, 1, -1, 2, 2, -2, 0, -1, -1, 1, 2, 0, 0, 0, -2, 2, 1, 1, 0, 1, -2, 1, 6, 1, -1, 0, -1, -1, 1, 1, 2, 0, 2, 1, 2, 1, -1, 1, 1, 0, 1, 0, 1, 1, 1, 6, 0, 0, -1, 1, -1, 2, 0, 0, -1, -1, -1, 1, 0, 1, 0, 1, 0, 1, 2, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 2, -1, 0, 1, -1, 1, -1, -1, 1, -2, -1, 1, -1, -1, -1, 1, -2, 2, 1, 4, -2, 1, -1, 1, 0, 1, -1, -1, 1, -2, 2, 0, -1, 1, -1, 0, 0, 2, -1, 1, -1, -2, 4, -1, 0, 1, 0, 0, 1, 1, -1, 1, -2, 1, 1, -1, 0, 1, -1, -2, 0, 0, 2, 1, -1, 4, 0, -1, 0, 2, -1, -1, -1, 0, 0, -2, 0, 0, 0, -1, -1, 0, 0, 0, 2, -1, 0, 0, 6, 1, -2, -1, -2, 2, 0, 1, 0, -2, -2, 2, -2, -2, -2, 0, 0, 2, -1, 1, 1, -1, 1, 6, -1, 0, -2, -1, -1, 0, 1, 1, 1, 2, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0, -2, -1, 4, -1, 2, 1, -1, 0, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, -1, 0, -1, 4, 0, -2, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, -1, 0, -1, -1, 1, -1, -2, -2, 2, 0, 4, 0, 0, 1, -1, 1, 1, -2, 0, 1, 0, -1, 0, -1, 1, -1, 1, -1, 2, -1, 1, -2, 0, 4, 0, 0, 0, -1, -1, -1, -1, 1, -1, 0, 0, 1, -1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 4, 0, 0, 0, -2, 0, -1, 0, 0, 0, 1, -1, -1, -2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, -2, 1, -1, 1, 2, -2, 0, 0, 1, 0, 0, -1, 0, 0, -2, 4, -1, 0, 1, 0, 0, 0, 2, -1, 1, -2, 0, 1, -2, -2, 1, 0, 0, 1, -1, 0, 0, -1, 4, 1, 0, 1, 1, 1, 0, 0, 0, -1, -1, 1, 0, -2, 1, 1, 1, 1, -1, -2, 0, 0, 1, 4, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 2, 2, -2, 1, -2, -1, 0, 0, 1, 0, 0, 4, -1, -1, 0, 1, -1, 2, -1, -1, 0, 0, -2, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1, -1, 4, 1, 1, 0, 0, -1, -1, 0, 1, -1, -2, -1, 1, -1, 1, 1, 0, 0, 0, 1, 0, -1, 1, 4, 1, 0, 0, 0, -1, 0, -1, -1, -2, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1, 4, 0, 0, -1, 1, 2, -2, 0, 0, 1, 0, 0, -1, 0, 0, -2, 2, 0, 0, 1, 0, 0, 0, 4, 0, 1, -2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 4, -2, 2, 1, 0, 0, 2, 1, 0, 0, -1, 1, -1, -1, 1, 0, 0, 2, -1, 0, -1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 1, -1, 2, 1, -2, -1, 0, -1, -1, 2, -1, -2, -2, -1, 0, 1, -1, 0, 2, 4, -2, 1, 0, 1, 0, -1, -2, -2, 0, -1, 0, 2, -1, 0, -2, 0, -1, 0, -1, 0, -1, -2, 6, -3, 2, -2, 0, -1, 2, 2, -2, -1, -2, 0, -1, 1, 1, -2, -2, 2, 3, -2, 2, 1, -3, 6, -1, 1, 0, 2, -1, -1, 1, 2, 1, 0, 2, -2, -2, 1, 1, -1, -3, 1, 1, 0, 2, -1, 4, -1, 2, 1, -1, 1, -2, 0, -2, 0, 0, -1, 0, -2, 0, 2, 0, -2, -1, 1, -2, 1, -1, 4, -1, 0, 0, -1, 0, 1, 2, 0, 1, 0, 1, 2, 1, -2, 0, 1, 2, 0, 0, 0, 2, -1, 4, 1, -2, 1, 0, 0, -1, 1, 0, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 2, 1, 0, 1, 4, -1, 1, 0, 1, 0, 0, 1, -2, 0, 0, 1, 0, -2, 0, -2, -2, 2, -1, -1, 0, -2, -1, 4, 0, 0, 0, 0, -1, 0, 1, 2, 0, 0, 0, 2, 1, -1, -2, 2, -1, 1, -1, 1, 1, 0, 4, -1, 1, -1, 0, 1, 1, 1, -1, 0, 1, 1, -2, 0, 0, -2, 1, -2, 0, 0, 0, 0, -1, 4, 1, 0, -1, 0, 0, -1, 2, 0, -2, -1, 1, -1, -1, -1, 2, 0, 1, 0, 1, 0, 1, 1, 4, 0, -1, 2, 0, 0, 1, 1, -1, -1, 0, -1, 0, -2, 1, -2, 2, -1, 0, 0, -1, 0, 0, 4, -1, 1, 0, 0, 2, 1, -2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, -1, 0, -1, -1, -1, 6, -1, 1, -1, -1, 0, 1, -1, 0, -1, -1, -1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, -1, 4, 0, 0, 0, 1, -1, -1, 0, -2, 0, 1, -2, -1, 0, -1, -2, 1, 1, 0, 0, 0, 1, 0, 4, 1, 0, -1, 0, 1, 0, -2, -2, 1, -2, 0, 1, -1, 0, 2, 1, -1, 0, 0, -1, 0, 1, 4, 0, 1, 0, 2, 1, -1, 0, -2, 1, -2, 2, -1, 0, 0, -1, 2, 1, 2, -1, 0, 0, 0, 4, 1, -2, 0, 1, 0, -1, -2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, -1, 1, 1, 4, -1, -1, 1, 1, 0, 2, -1, 2, -2, 1, 0, 0, 1, -2, -1, -2, 1, -1, 0, 0, -2, -1, 4, 1, -1, -1, -1, 3, -3, 0, 0, -1, -2, 2, 1, -1, -1, 0, -1, -1, 1, 2, 0, -1, 1, 6, -1, 0, 0, -2, 1, -2, 1, -1, 0, 1, -2, 1, 0, 1, 0, 0, 0, 1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, 0, -1, -1, 0, -1, 2, 1, 1, 0, -2, -1, 0, -1, -1, 1, 1, 0, 2, 2, 4, -2, 1, -1, -2, -2, 1, -1, 2, 1, 2, 1, -1, -1, -1, -2, -1, -1, 1, -1, 0, -2, -2, 4, -1, 1, 2, 1, -1, 0, 0, -1, -2, 0, 0, 1, 0, 1, 1, 0, -1, 0, -1, 0, 1, -1, 4, -1, 1, 0, 0, -1, -1, 1, 0, -1, 2, -1, -2, -2, 1, -2, -1, 1, -2, 0, -1, 1, -1, 4, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, -1, 0, -1, 0, 1, 0, 2, -1, -2, 2, 1, 0, 6, 2, 0, -2, -1, -2, -3, 0, 1, 1, -1, 1, 1, -1, -1, 0, -1, -1, -2, 1, 0, 2, 2, 6, -2, -1, -2, -1, 1, -2, 0, 2, 0, 1, -1, -1, 1, 2, 2, 0, 1, -1, 0, 0, 0, -2, 4, 1, 0, -1, 1, 2, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, -1, 0, -1, 1, -2, -1, 1, 4, -1, 1, 0, 0, 1, 1, 1, 1, 1, 0, -1, 0, 0, 2, 2, 0, -1, 0, -1, -2, 0, -1, 4, 0, 0, 1, -2, -1, 0, -1, -1, 1, 1, -1, 0, 1, 1, -1, 1, 0, -2, -1, -1, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, -2, 0, 1, -3, 1, 1, 0, 0, 0, 6, -1, 0, 0, 0, -2, -1, -1, 1, 0, 2, 0, 1, 0, -1, 0, 0, -2, 2, 0, 1, 0, -1, 4, -1, 0, 0, 0, -1, 0, 1, -2, 0, -2, -1, 0, 2, 1, 1, 0, 0, 1, -2, 0, 0, -1, 6, 1, -2, -1, 2, -1, -2, 1, -2, -1, -1, 1, -1, 2, 1, 2, 0, 1, -1, 0, 0, 0, 1, 4, 0, 1, -1, -1, 0, 0, 1, 0, -1, 0, -2, -1, -1, 0, 0, 1, 0, 0, 0, 0, -2, 0, 4, 2, 0, 1, 0, 0, 1, -1, -2, 1, -2, 0, 1, 1, -1, 1, -1, 0, -2, 0, -1, 1, 2, 4, 0, 1, 0, 0, 1, -1, -1, 1, 1, -1, 1, -1, 0, 1, -1, 0, -1, -1, 2, -1, 0, 0, 4, 0, -2, 1, -2, 1, -1, 0, -2, 0, -1, -1, -1, 0, 1, 0, -1, 0, -1, -1, 1, 1, 0, 4, 0, 0, 1, 1, 1, -1, -1, 1, -1, 1, 0, -1, 1, 0, 1, 1, -2, 0, 0, 0, -2, 0, 4, 0, 2, 0, -1, 0, 1, 0, 0, 2, -2, 0, -1, 0, 0, -2, 1, 0, 0, 0, 1, 0, 0, 4, 0, 2, 0, -1, -2, 2, -1, 2, 0, 0, 0, -1, 2, 0, -2, 1, 1, 1, -2, 1, 2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 1, 2, 1, -2, 1, 2, -1, -1, -2, 1, 0, -1, -1, 1, 0, 1, -1, -1, 2, 4, -1, 0, 0, 2, 0, -2, -1, 0, 0, -1, -2, 1, 1, 0, -1, 0, -1, 1, -1, 0, 0, -1, 4, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, -1, 1, 1, 0, -1, -1, 1, 0, 2, 4, 1, 2, 0, -1, 1, 2, 0, 0, 0, 0, 1, -1, -2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 4, 2, 1, -1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 6, -1, -1, 0, 3, 0, 0, 0, 0, 0, -1, -1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, -1, 4, -1, 0, 0, 1, 0, -1, 2, 1, 0, 1, 1, 1, 0, -2, -1, -2, -2, 1, -1, -1, -1, -1, 4, 0, 0, -1, 1, 2, -1, -1, 1, 0, 0, 1, -1, 1, -1, 1, -1, 1, 1, 2, 0, 0, 0, 4, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 3, 0, 0, 2, 6, 0, 0, 0, 0, 1, 0, -2, 1, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 4, 1, 0, 0, 0, 1, 1, 1, -1, 1, 0, 1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 4, 0, 0, -1, 0, 2, 2, 1, 1, 0, 1, -2, -2, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, -2, 1, 0, 1, 1, 1, 0, 0, 0, 2, -1, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 4, 0, -1, -1, 1, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 4, 0, 0, 1, 1, 0, 0, -1, -1, -1, -2, 1, -1, 1, 0, 0, -2, 1, 2, 0, 0, -1, 0, 4, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, -1, 0, 1, 4, 1, 1, 0, 0, 0, -1, 1, 0, 2, 0, 1, 1, 1, 1, -1, 1, 0, 0, 1, 1, 1, 1, 4, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -2, 1, -1, 1, 0, 1, -1, 4, 0, 0, -1, -1, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0, -1, 0, 1, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -2, -1, 2, 1, -1, -1, -2, -2, -1, -1, 2, 2, 2, 0, -2, 0, -1, 0, 4, -1, -1, 1, 1, 2, -1, 1, 2, 1, 2, 2, 1, -1, -1, 0, -1, 1, 1, 0, 1, 1, -1, 4, 0, 0, 0, -2, 2, 1, 0, 1, -2, -2, 1, -1, 2, -1, 2, -1, 0, 0, -1, 2, -1, 0, 4, -2, -2, 0, 0, 1, -1, -1, -2, -1, -1, 0, 2, 1, 1, 0, -2, 0, 0, -2, 1, 0, -2, 4, 2, 0, -1, 0, 0, 2, 2, 2, 1, 1, 0, -2, -1, -1, 2, -1, 0, -2, 1, 0, -2, 2, 4, 0, -1, -1, 2, 1, 2, 2, 2, 1, -1, -2, -1, -1, 2, 0, 0, -1, 2, -2, 0, 0, 0, 4, -2, 1, 2, 0, 2, 2, 0, -1, -1, 1, -2, 2, 0, 0, 1, 2, -1, 2, 0, -1, -1, -2, 4, 1, -1, -1, -1, -3, -1, 0, 2, 1, 2, 0, -1, 0, -1, 1, 1, 1, 1, 0, -1, 1, 1, 6, 2, 1, -1, -1, -1, -1, 0, 0, 1, 0, -1, 1, 2, -1, 2, 0, -1, 0, 2, 2, -1, 2, 6, 0, 1, 2, 1, -1, -1, 0, 0, 1, 0, 0, 2, -1, 1, 1, -1, 2, 1, 0, -1, 1, 0, 4, 0, 0, 2, -1, -1, -2, 0, -1, 1, 1, 0, -2, 2, -2, -2, 2, 2, 2, -1, -1, 1, 0, 6, 3, 0, 0, -2, 0, -2, 0, 2, 0, 1, -2, 2, -2, -1, 2, 2, 2, -3, -1, 2, 0, 3, 6, 0, 1, -2, 0, -3, 1, 2, 0, 1, -1, 1, 1, -1, 1, 2, 0, -1, -1, 1, 2, 0, 0, 4, -1, 0, -2, 0, -1, 1, 0, 0, -1, -1, -1, 0, 1, 1, -1, 0, -1, -1, -1, 0, 1, -1, 4, 1, -1, -1, 0, 1, 0, -1, 2, -1, 2, 2, 0, -1, -1, 2, 0, -1, -1, -2, -2, 0, 1, 6, 0, 2, 0, -1, -2, -2, 2, 0, -1, 1, -2, -2, 1, 1, 0, 0, -2, 0, 0, -2, -1, 0, 4, 0, 2, -2, 0, 0, 2, -1, 2, 1, -1, -1, -2, 2, 1, 0, 0, -2, -3, 0, -1, 2, 0, 4, -1, -1, 0, 0, 0, 1, -1, 0, -1, -1, 2, 0, 0, 1, -1, 0, 1, -1, 0, 0, 2, -1, 4, -1, 0, 0, -2, 1, 0, -2, 2, 2, 0, -1, -1, 0, 1, 2, 2, 1, 1, -1, -2, -1, -1, 4, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 4, 0, -1, 1, -1, 0, 0, 0, 1, -1, 2, 2, 0, 1, 1, 0, -1, -2, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, 0, 1, -2, -1, 0, 0, -2, 1, 0, -1, -1, -1, -2, -1, 0, 1, 0, 0, 0, 4, -1, 0, 0, 1, 1, 2, 0, 1, 1, 1, -1, 2, 0, -1, 2, 1, 1, -1, 0, 0, 1, -1, 4, 2, -1, 0, 0, -1, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 6, 1, 1, 0, 2, 2, -2, 0, 1, -1, -1, -2, -1, -2, 2, 3, -1, 1, 2, 0, 0, -1, 1, 4, -1, 0, 2, 0, 1, 0, 0, 0, 0, -2, 1, -1, 0, -1, 1, -1, -1, 1, 1, 0, 1, -1, 4, -1, 1, -1, -1, -1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, -2, 1, 0, 0, 0, -1, 4, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, -1, 0, 1, -1, 2, -1, 2, 2, 1, 0, 6, 1, -1, 1, 1, 0, 2, -2, 1, 0, 2, 1, 0, 0, -1, 0, 0, 1, 2, 0, -1, 0, 1, 4, -2, 0, 1, -2, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, -1, -2, 1, -1, 1, -1, -2, 4, 0, -1, 1, 1, -1, 0, 0, 0, -1, 1, -1, -1, -2, 1, 0, 0, 0, -1, 2, 1, 0, 0, 4, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, -1, 0, 4, -1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, -1, -1, -1, 0, 1, 0, 0, -2, 1, 0, -1, 4, 0, -1, 1, -1, 0, -1, 1, 1, -1, -1, 2, 0, -1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 4, 1, 1, 2, 1, 0, 0, 0, -1, -1, 0, 1, -2, -2, 1, 0, -2, 0, -1, 1, 1, -1, 1, 6, 0, 3, -1, -1, 0, 1, 1, -1, -1, -1, -1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 4, 1, 0, -1, 1, 0, 0, -2, 2, 0, -2, -1, 1, 2, 0, 0, 0, 1, 1, -1, 2, 3, 1, 6, 0, 0, -1, 0, 1, -1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, -1, 0, 0, 4, 2, 0, 1, 1, 0, 1, 1, 3, -1, 1, 1, 1, 1, -1, 0, 1, -1, 0, -1, -1, 0, 2, 4, -2, 1, 2, 1, -1, 0, -1, 1, 0, -1, 0, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, -2, 4, 0, -1, 0, 0, 0, 1, -1, 2, 0, 0, -1, -1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 4, 1, 0, 0, 1, 2, -1, 1, 1, -1, 0, -1, 0, 1, -1, -1, 1, 0, 1, 1, 2, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, 2, -1, 2, 1, 0, 1, -1, -1, 2, -1, 0, -1, 0, -1, 0, -1, 1, 4, 0, 2, 1, -2, 0, -1, 0, -1, 0, 0, -2, 0, 0, -2, 1, 0, 1, -2, -1, 1, -1, 0, 4, 1, -1, 1, -1, 2, 1, 1, 0, 1, 1, -1, -2, 1, 1, 1, 1, 1, -1, 2, 1, 2, 1, 4, 0, 0, -1, -1, 1, 0, 1, 1, 0, 0, 1, -1, 0, -1, 2, 0, 0, 1, 2, 1, -1, 0, 4, 0, 1, -1, 2, -1, 1, -1, 0, -1, 2, -1, 0, 0, -1, 0, 0, -1, -1, -2, 1, 0, 0, 4, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, -1, 2, 0, 0, 2, 0, -1, -1, 1, 0, 4, -1, 1, 0, 0, 1, 0, -1, 0, -1, 1, 1, -2, 0, -1, 0, -1, -1, 2, -1, -1, 0, -1, 4, -1, 1, -1, 1, 0, 0, -1, 1, 1, 1, 0, 0, -1, 1, 2, 0, 1, 1, 2, 1, 1, -1, 4, 0, 1, 0, 1, -2, 1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 1, 0, -1, 0, 0, 1, 0, 4, 0, 2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 4, 0, 1, -1, 1, -1, -1, -1, 0, 1, 1, 1, 1, 0, 1, 1, -1, 0, 1, 1, 0, 2, 0, 4, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, -1, -2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 4, 0, 0, 1, -1, 1, -1, 2, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, -1, -1, -1, 0, 4, 1, 1, 0, 1, 0, 0, 0, -1, 2, 0, -2, 1, 2, 1, 0, -1, 1, 0, 1, -1, 0, 1, 6, -1, 0, -1, -1, 0, 0, -2, -1, -2, 1, -1, -1, 1, -1, 1, 0, 0, -1, -1, 1, 1, -1, 4, -1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, -1, 4, 1, -1, 0, -2, 1, -1, 0, 1, -1, 0, 1, 1, 1, 0, -1, -1, 0, 1, 1, -1, 1, 1, 4, -1, 1, -1, 1, 0, 1, 1, 2, -1, -1, -2, 0, 0, 0, 0, 0, -1, 0, -1, 1, -1, -1, 4, -1, 1, 1, -1, -2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, -1, 4, 1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 1, -2, -1, 1, 1, 4, -1, -1, 1, 2, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, -1, -2, 0, 1, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, 2, 0, -1, -1, 0, 0, -2, 0, 0, -1, 0, 2, 1, -2, 1, 2, 0, 0, 2, 4, 2, -2, 1, -1, -1, 1, 0, 1, -2, 0, 1, -2, -1, 0, -1, -2, 1, 2, -1, -1, 2, 2, 4, 0, 2, -1, 0, 1, 0, 1, -1, 0, 0, -2, -1, 0, -1, 0, 2, 0, 0, 1, -1, -2, 0, 4, 0, -1, 0, -1, -1, -1, 0, -1, 0, 0, 1, -1, 0, 1, -1, -1, 0, 2, 2, 1, 2, 0, 4, -1, 1, -1, 1, 0, -2, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, -1, -1, 4, 0, 0, 1, 1, 2, 1, 0, 2, -1, 0, 0, 1, 0, -1, 0, -1, -1, -1, 0, 0, 1, 0, 4, 0, 1, -1, 1, 0, 1, 1, 0, -1, 1, 2, 0, -2, -1, 1, -1, 1, 1, -1, -1, 0, 0, 4, 1, 2, 1, 1, -1, -1, -1, -1, -1, 1, 2, -1, 1, 0, 0, 0, 0, -1, 1, 1, 1, 1, 4, 1, 1, 0, 1, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, 1, -1, 2, 1, 4, 0, 0, 0, 0, -2, -1, -1, 1, 2, -1, 0, -1, -2, -2, -1, 0, -2, 2, 1, 1, 1, 0, 6, 2, -1, 1, 1, -1, 0, 3, 0, -3, 1, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 2, 4, -2, 1, 0, 0, -1, 2, 0, -2, 1, 0, 0, 1, 0, 0, 1, 0, 1, -1, 1, 0, -1, -2, 4, 0, -1, -1, 0, -1, -1, 1, -2, 0, -1, -2, -2, 0, 0, 2, 1, -1, 1, 0, 1, 1, 0, 4, 0, 0, 0, 2, -1, -2, 0, -1, 0, -1, -1, 1, -1, -1, 0, -1, -1, -2, 1, 0, -1, 0, 4, 1, 1, -1, -1, 0, 1, 1, 2, 0, 0, -1, 0, 0, -1, -1, 0, -1, -1, 0, -1, 0, 1, 4, 2, -2, 0, 2, 1, 0, 1, -1, -1, 0, 0, 0, 1, -1, 1, -1, 0, -1, 0, 0, 1, 2, 4, -1, 0, 1, 0, 1, -2, -2, 0, 1, 0, 1, 2, 1, 0, 1, 3, 2, -1, 2, -1, -2, -1, 6, 1, -4, 1, 1, 1, 1, 2, -1, 0, 0, 0, 2, 0, 2, 0, 0, -1, -1, -1, 0, 0, 1, 4, -1, 1, 0, 2, 2, 0, -1, 0, -1, -2, -1, 0, -1, -3, -2, 1, -2, 0, 2, 1, -4, -1, 6, 0, -1, 0, -1, 0, 0, -1, 0, -1, 1, -1, 0, 1, 1, -2, 0, 1, 1, 0, 1, 1, 0, 4, 0, 0, -1, 1, 2, 1, -1, 1, 0, 0, -1, 1, 0, 0, -1, 1, 0, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, 0, 2, 0, 0, -1, 1, -1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 1, -1, 1, 4, 1, 1, 1, 0, -1, 0, 0, 2, 1, 1, -1, 0, 1, -1, -1, -1, 1, 1, 0, -2, 0, 1, 4, 1, 2, 1, 0, -1, 1, 2, 0, -1, -1, -1, 2, -1, -2, 0, 2, 0, -1, -1, 2, 1, 1, 4, 0, 2, 1, 1, -1, 2, -1, 0, -1, 1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 1, 2, 0, 4, 0, -1, -1, 2, 2, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 2, 0, 1, 2, 0, 4, 1, -1, 0, 2, 0, -2, -1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, 4, -1, -1, 1, 1, -1, 0, -1, 1, 1, 0, -1, 0, 1, 0, 1, 0, 0, -1, 1, -1, -1, -1, 4, 0, -1, -1, 1, 0, 2, 0, -1, 2, 1, -1, -1, 0, 1, -1, 0, 1, -1, 2, 0, -1, 0, 4, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 1, 1, 2, 2, 2, 2, 2, 1, -1, 0, 6, 2, -1, -2, -1, 1, -1, 0, -2, 1, 2, 0, 0, -1, 1, 0, -1, 0, 0, 1, -1, 0, 2, 4, 0, -1, -2, 1, 0, 0, -2, 0, 2, -1, 0, -1, 1, -1, 0, 0, -2, -1, 1, -1, -1, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, -1, -2, -1, 0, 4, 0, -1, 1, 0, 0, -1, -1, 1, 0, 0, 0, -1, 1, 0, -1, -1, 2, 0, -1, -2, 2, 0, 4, -1, 0, 1, 1, -1, -1, 1, 1, -1, 1, 2, 0, 1, -1, 1, 0, 1, 1, 1, 0, -1, -1, 4, -1, -1, -1, 2, 1, -2, 0, 1, -1, -1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, -1, 4, 0, 0, 0, 0, 0, 1, -1, -1, -2, 0, -1, -1, 0, 2, 0, 0, 0, 0, 0, 1, -1, 0, 4, 0, -2, 0, 1, 2, 1, -1, 0, 1, 0, 0, -1, 1, 0, -2, -2, 0, 0, 1, -1, 0, 0, 4, 0, -2, 1, 0, 1, 1, 2, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, 2, 0, -2, 0, 4, 0, -1, -1, -1, 1, 0, -1, 0, 0, 1, -1, 0, 2, 2, 0, -1, -1, 1, 0, 0, -2, 0, 4, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, -2, 0, -1, 0, 1, 1, -2, 0, 1, 1, -1, 0, 4, -1, -1, -2, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 2, 0, 0, -2, -2, 0, -1, 0, 1, -1, 0, 1, 1, -2, 0, 1, 1, 0, 1, 0, 4, 1, 0, -1, -1, 2, 0, 2, 1, 1, 1, -1, 1, 1, -1, 0, -1, 0, 1, 2, 1, -1, 1, 4, -2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0, 1, 1, 2, 0, -2, 4, 1, 0, -2, -1, -1, -1, 0, 0, -1, 0, 2, 0, -1, -1, 2, 0, -1, 0, 0, -1, 0, 1, 4, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -2, 0, 0, -1, 0, 0, 0, 4, -2, -1, -2, 1, -2, -2, 1, 1, -1, -1, 1, 2, -1, -2, -2, 0, -2, 2, 2, -2, -1, -2, 6, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, -1, 0, 1, 2, -1, -2, 0, 1, -1, 1, -1, 0, 4, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, -1, 0, -2, 2, 0, 4, 0, 2, 1, -1, -1, 0, 0, 0, -1, -1, 1, 2, 1, -1, 1, 0, -1, 0, 1, 1, 0, 0, 4, -1, -1, 0, 2, 0, 0, 1, 0, -1, -1, 1, -1, 0, 1, 0, 0, 0, -2, 1, 0, 2, -1, 4, 2, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, -2, 1, 0, 1, -1, 2, 4, -1, -1, 1, 0, -2, -1, 0, 2, 0, 1, -1, -1, 0, -1, 0, 1, 1, -1, -1, 0, 0, -1, 4, 0, -1, 0, 2, 2, -1, -1, -1, -2, 0, 1, 0, 0, 0, 1, 1, 0, -1, 2, -2, -1, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 2, -1, -1, 1, -1, 0, 0, 0, 1, -1, 0, 4, 0, -1, -2, 2, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 2, 0, -2, 0, 1, -1, -1, 1, 1, 0, 0, 1, 0, -2, 2, 0, -1, 1, 4, 1, -1, -2, 1, -1, 0, -1, 0, -1, 0, 2, -1, 0, -1, 0, 0, -1, 2, 0, -2, 0, 1, 4, -1, -1, 0, 0, 1, 0, -1, 2, 0, -1, 0, 0, -1, -1, 0, 0, -1, 0, 2, 0, -1, -1, 4, 0, 0, 0, 1, 1, 0, 0, 0, -2, 1, 0, 1, -1, 0, 2, -1, 0, 1, 0, -2, -1, 0, 4, 1, 1, 0, 2, 1, -1, -2, -2, 2, 1, 2, 1, 1, 0, -1, 1, 0, 2, 1, 0, 0, 1, 6, 0, 1, 1, 1, 0, 0, 0, -1, 1, 1, -1, 0, 1, -2, 0, 0, 0, -1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, -2, 1, -1, 0, -2, 2, 1, -1, -1, 2, 0, 0, 1, -2, -2, 2, 0, -1, 0, 6, -2, 3, 0, -2, 2, 2, 0, -1, -1, 0, -1, 0, -2, 2, -1, 1, -1, 0, 2, -2, -1, -2, 6, 1, 1, 1, 0, 1, 2, -1, 2, 2, 1, -1, 2, -2, -1, 0, 2, -1, -2, -1, 0, 3, 1, 6, -1, 1, 1, 2, 0, 0, 2, 2, -2, 1, 0, -1, -2, 2, 0, 1, 0, 0, -2, 0, 1, -1, 4, 0, 0, 0, 2, -1, -1, -1, 1, -2, 1, 1, -1, 1, 1, -2, -1, 1, 1, -2, 1, 1, 0, 6, -2, 1, 1, 0, 1, 0, -1, 0, 2, -2, -2, -1, 1, 0, -2, 3, -1, 2, 0, 1, 0, -2, 4, 0, 0, -2, 1, 0, 1, -1, -2, 1, 1, 0, 0, -1, 2, -2, 0, 2, 1, 2, 0, 1, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, -2, 0, 2, 0, 2, 1, 0, 0, 4, -2, 0, 1, 1, -2, 1, 0, -1, 1, 2, -2, -1, 0, 2, -1, -1, 0, -1, 0, -2, -1, -2, 4, 0, 0, -1, 2, 1, 0, 0, 0, -1, 2, -1, 1, 1, -1, 2, 2, -1, 1, 1, 0, 0, 0, 4, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 0, 2, 2, -1, 0, 0, 0, 1, 0, 1, 4, 0, 0, 0, -2, -1, 1, 1, 0, 0, -1, -1, -1, 1, -2, 1, -1, 1, 0, 1, -1, 0, 0, 4, -2, 0, 0, 1, 0, 2, -2, 0, -1, 2, 0, -1, 1, -2, 0, -1, 0, -2, 2, 1, 0, -2, 4, -1, 0, 0, 0, -2, 2, 0, 0, 0, -2, 2, 0, 1, 2, -2, 0, 1, 1, 0, 0, 0, -1, 4, -1, -1, 0, 1, 0, -2, 2, 0, 2, -2, -1, 1, -2, 1, 0, 0, 0, -1, -2, 0, 0, -1, 4, 1, 0, -1, 0, 1, 0, 1, -1, -1, -2, -1, -2, 1, -2, -1, 0, 0, -1, 1, 0, -1, 1, 4, -1, -1, 0, 1, -1, -2, 1, 0, 2, 1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, 4, 1, 0, 0, 1, -2, -1, 2, 0, 1, 1, 0, 1, 2, -1, 0, 1, 2, -2, 1, -1, -1, 1, 4, -2, -1, 1, 2, 0, -1, 1, -2, 0, -1, 0, -2, 2, 1, 0, -2, 2, 0, 0, 0, 0, -2, 4, 1, 0, 0, 2, -2, 0, -1, -2, 2, 0, -1, -1, 0, 0, 0, 0, -2, 1, 1, 0, -1, 1, 4, -2, -1, -2, -1, 0, 1, 3, -2, 0, 0, 1, -1, -1, -1, 0, 2, 0, -1, 1, 1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, -1, -1, -1, 1, -1, 2, 1, 0, -1, 1, 2, -1, 1, -2, -1, -2, 1, -2, 1, 4, 0, 2, -2, -2, 1, 1, -1, 2, 0, 1, 0, 0, 0, 1, 2, 0, -2, -1, 0, -1, 1, 0, 4, 1, 1, -1, -2, -1, -1, 0, -1, -1, 0, 0, -1, -2, 0, 1, 1, -2, 0, 0, 1, 2, 1, 4, 0, -2, 0, 0, 0, 2, 1, 1, 0, -1, 0, 0, 1, -1, -2, 0, 0, 0, -1, -2, 1, 0, 4, 0, -2, 0, 1, 0, 0, -1, 1, -1, -1, 0, -2, 1, 1, 0, -1, 1, -1, -2, -1, -2, 0, 4, 0, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 2, 1, 1, -1, 1, -2, 0, -2, 0, 4, 0, 1, 0, 0, 1, 0, -1, 0, 1, 1, -1, -1, 2, 0, 0, 1, 1, -1, 0, 0, -1, 0, 4, 0, 0, 0, 0, 1, -1, 1, 2, -1, -1, 0, 0, -1, -1, -1, -1, -1, 0, 1, 1, 1, 0, 4, 1, 0, 1, -1, -1, 0, 1, -2, -2, -1, 3, 1, 0, 2, 2, 0, 2, 0, -1, 0, 0, 1, 6, 0, 2, -2, 1, 1, 0, 1, -2, -3, 0, 2, -2, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 4, 0, 1, -1, 1, 1, 1, -1, -1, 0, -1, -1, 0, 1, -1, 1, -1, -1, 1, 0, 1, 2, 0, 4, -2, 1, 0, 1, 0, 0, -2, 0, 1, -1, -1, 0, 0, 0, 1, -1, 0, 1, -1, -2, 1, -2, 4, -2, -1, 1, 0, 1, 1, 0, -2, 1, 1, 0, 0, -1, -1, 1, -1, -1, -1, 1, -1, 1, -2, 4, 1, -1, 0, 1, 0, -2, 2, -1, 2, 0, -1, 0, -1, 1, 0, 1, 0, 1, 1, 0, -1, 1, 4, 0, 0, -3, -1, 0, 1, -1, -1, 1, -2, 0, 0, -1, 1, 2, 1, 0, 1, 1, 1, -1, 0, 4, 0, 0, -1, 1, -1, 0, 1, 2, 0, 1, -2, -1, 1, -1, -2, 1, 1, 0, 0, 0, 0, 0, 4, 0, -1, -1, 0, 0, -2, 0, 1, -1, 1, -1, -1, -1, -2, -2, -1, 0, 1, 1, -3, 0, 0, 6, 2, -2, -1, 1, -1, -2, 1, -2, 1, 1, -1, 0, -1, -3, -1, -2, 1, 0, -1, -1, -1, 2, 4, -1, -1, 1, -2, -1, -2, 0, 0, 2, 2, 0, 3, 0, 0, 0, 0, -2, 0, 1, -1, -2, -1, 6, 1, 1, 1, 0, 0, 0, -1, 1, 0, -1, 1, 2, -1, 1, -2, 2, 1, -1, 0, -1, -1, 1, 4, -1, -2, -1, 0, 0, 1, 1, 0, -1, 0, -2, -1, -1, 1, -1, -1, 0, 0, 1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, 0, 1, -2, 2, -1, -1, 0, 1, -2, -1, -1, 0, 0, 1, 0, 0, -1, 0, -2, 4, 0, 0, 1, 0, 0, -1, 1, 1, 0, -1, 2, 0, 0, 0, 1, -1, -1, 0, 1, -1, 1, 0, 6, -2, -1, -2, 0, 2, 2, 2, 0, -1, -3, -1, -2, 2, 0, 1, 2, 0, -1, 1, 2, 0, -2, 6, 2, 1, -1, 1, -2, -3, -1, 2, 0, 1, -1, 0, 2, 0, 0, -1, 0, -1, 0, 1, -1, 2, 4, -1, -1, 0, 0, -2, 1, 0, 0, 0, -1, 0, 1, 1, 0, 1, -1, 0, 1, 0, -2, 1, -1, 4, 0, -1, -2, -1, -1, 0, 1, -1, 1, -2, -1, -1, -2, -1, 1, 0, -2, 0, 0, -1, -1, 0, 4, -1, 0, 0, 0, 0, 1, 1, 1, 0, -1, -1, 1, 0, 1, 0, 2, -1, 2, 1, 0, -1, -1, 4, 1, 1, -1, 1, -1, -1, -1, 2, 0, 1, 1, -1, -1, 0, -1, 1, 2, -2, 0, -2, 0, 1, 4, 3, 0, -1, 1, 0, -1, 2, -1, 1, 0, 0, -1, 1, -1, 1, 2, -3, -2, -1, 0, 1, 3, 6, -1, -1, 1, 0, 0, 2, -2, 1, 0, -1, -1, 1, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 4, -1, 0, 1, 1, 0, 0, 0, 0, 2, 0, -1, 1, -1, -1, 2, 0, 0, 0, 1, -1, -1, -1, 4, 0, 0, -1, -1, 1, 1, 0, -1, 0, 0, -2, 2, -3, 0, 0, 1, 1, -1, 1, 1, 0, 0, 6, 0, 2, -1, 0, -2, -1, 0, 2, -1, -1, 0, -1, 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -2, -1, -1, 1, 1, -1, -1, 0, 1, -1, 2, 0, 4, 0, -1, -2, 0, 1, 2, -2, 0, 0, 2, 0, 0, -2, 0, 2, 2, 2, 0, -1, -1, 1, 0, 4, -1, 1, 1, 0, -1, 0, 0, 1, 0, 2, 1, -1, -1, 0, -1, -2, 0, 1, 0, 0, -1, -1, 4, -1, 1, 0, 1, -1, 1, -1, 1, 0, 1, -1, -1, 1, 1, 1, 0, 1, -2, 0, -2, 1, -1, 4, 0, 0, -2, 2, 0, -1, 2, 0, 0, -2, 1, 1, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 4, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 2, -1, 0, 0, 1, 0, 0, 0, 0, 4, 1, -1, -1, 1, -1, 0, -1, 1, 1, -1, -1, -1, 0, 0, 2, 0, 2, -1, 1, -2, 0, 1, 4, -2, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, -1, 0, -1, 0, -2, 0, -1, 2, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 0, 1, -1, 0, -1, -1, 1, -1, 0, -1, -1, 1, -1, 1, 1, -1, -1, -1, 0, -1, 4, -1, 0, -2, 0, 1, -1, 1, 1, 1, 1, 2, 2, 1, 2, -1, -1, 1, 1, -1, 1, 0, -1, 4, -1, 2, 1, 1, -1, 1, -2, 1, 0, -1, -1, 0, -1, 1, -1, -2, 1, 2, 1, 0, 0, -1, 4, -2, 1, -2, 1, 0, 1, -1, 1, -1, -1, -1, 1, -2, 1, 1, -1, -2, 1, 1, -2, 2, -2, 6, 0, 1, 1, 0, -1, 0, 0, 0, 0, 2, -3, 3, 0, -2, 0, 3, 0, -1, 0, 1, 1, 0, 4, -1, 1, 2, -1, -1, 1, 0, 0, -1, 0, -2, 1, 0, -1, 0, 1, 0, 1, 1, -2, 1, -1, 4, 0, -1, -1, 0, -1, 1, 1, 2, 0, 1, 0, -1, 0, 0, -1, -1, -1, -1, 1, 1, 1, 0, 4, 0, -1, -2, 0, 0, 0, 0, 0, -1, 2, 0, -2, 0, -1, -1, 1, 1, 0, 0, 2, -1, 0, 4, 0, 0, 2, 1, 1, 0, 1, -1, 0, -1, 0, 1, 1, 1, 1, -2, 1, -1, -1, -1, -1, 0, 4, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, -2, 1, -1, 1, 1, -1, 0, -1, 0, -2, 0, 0, 4, 0, 0, 1, 0, 0, 1, -2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, -1, 0, 2, 1, 0, 4, 0, 0, 0, 1, -1, 0, -1, 0, 1, 2, -1, 2, -1, -1, 0, 0, 1, 0, 1, 1, 0, 0, 4, 2, 1, 1, 0, -1, 0, 0, 0, 0, -1, 2, -1, -1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 2, -1, 2, 0, 0, 1, 0, 0, 1, 1, 4, -1, 1, 0, 0, 0, -1, 0, -1, 2, -1, 1, -3, 0, 0, 0, 1, 1, 0, 1, 1, 1, -1, 4, -1, 0, 0, 0, -1, 1, 1, -1, 1, -2, 3, -2, 1, -1, -1, 0, 1, -1, 0, 0, 1, -1, 4, -1, -1, 1, 2, 0, 1, -1, -1, 1, 0, 1, 0, 2, 0, 0, -2, 0, -1, 0, 0, 0, -1, 4, 0, -2, -1, -1, -1, 1, -2, 1, -2, 0, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 4, 0, -2, 0, -1, 1, 1, -1, 0, -1, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 1, -2, 0, 4, 2, 1, -1, -1, 2, -2, 3, 0, 0, 0, 1, -2, 1, 1, 0, 0, -1, -1, 2, -1, -2, 2, 6, 0, 0, 1, 1, 1, 0, 1, -1, -1, 1, 1, 1, 2, 0, 0, 0, 1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 1, -1, 1, 1, 1, 0, 1, 1, 0, 1, 1, -1, 0, -2, 1, 0, -1, -1, 2, 4, 1, 1, -1, 0, -1, 2, 2, -1, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, -2, 2, 1, 6, 3, 3, 1, -1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, -1, 2, -2, -2, -2, 2, 1, 3, 6, 3, 1, -1, -1, 1, -1, 2, 2, 2, 1, -1, 1, 1, -1, 3, 1, -1, 1, 1, -1, 3, 3, 6, -1, 1, -2, -1, 1, 1, 1, 1, 2, 1, 2, 2, -2, 3, -1, -2, 2, -1, 0, 1, 1, -1, 4, -1, 0, 2, 0, -1, 0, 0, -1, -2, 1, 1, 1, 0, -1, 1, 0, 1, -1, -1, -1, 1, -1, 4, -1, -1, 1, -1, 0, 0, 1, 0, 0, 1, -2, 0, -1, -1, 2, 1, 2, 0, -1, -2, 0, -1, 4, 1, -1, 0, -1, 0, -1, 1, -2, -2, 1, -1, 1, 1, -2, 1, 2, 2, 1, -1, 2, -1, 1, 4, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, -2, 0, -1, 0, -1, 1, 0, 1, -1, 0, 4, -1, -1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 1, 1, 1, 0, 2, 1, -1, -1, 0, 0, -1, 4, 0, 0, 0, 0, -1, -1, -1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, -1, 0, -1, 0, 4, 0, 1, -1, 0, 2, 0, 1, 1, -1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, -1, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, -1, 1, -1, 0, 1, 0, 1, -1, 4, 0, 1, 1, -1, 1, 0, -2, 1, 1, 1, 1, -1, 1, -2, 0, 1, -1, 0, 0, -1, 0, 0, 4, -1, -1, -1, 0, -1, 0, -2, -1, -1, 2, 1, 2, 1, 0, -2, 1, 1, -1, 0, 0, 1, -1, 4, 2, 0, 1, -1, -1, 0, 0, -1, 2, 1, 2, 1, 1, -2, 1, 0, -1, 2, 0, 1, -1, 2, 4, -1, 1, -2, -1, 1, -2, 0, -1, -1, -2, 1, -2, 1, 0, 0, -1, 0, 0, -1, -1, 0, -1, 4, -1, 2, 1, 0, 1, 0, 2, 3, 3, 0, 0, -1, 0, 0, 2, 1, 0, 1, 0, 1, 1, -1, 4, 0, -1, 1, 0, 0, -2, 1, -1, -1, -1, 1, -1, 0, 1, 1, 0, 0, -1, -1, -2, 2, 0, 6, 1, 1, -1, 0, -2, -1, -2, 1, -1, 1, 0, -1, 0, -1, 0, -2, 0, -1, -1, 1, -1, 1, 4, -1, -1, -2, -2, 1, 2, 0, 2, -2, -2, 1, 0, 1, 1, 1, -2, 0, 1, 0, 1, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, -1, 1, 1, -2, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -2, -1, 1, 4, 0, -2, 2, 2, -1, 0, 0, -2, -1, 0, 1, -1, 0, 1, -1, 0, -1, 0, -2, 1, -1, 0, 4, -1, -1, 0, 2, 0, 0, -1, 0, 0, 1, 2, 0, 2, 2, 0, -2, 0, -1, 0, -1, -2, -1, 4, -2, -1, 0, -1, 0, 2, 1, 0, -1, 0, 1, -1, 0, 0, 1, 0, 2, -1, 1, 2, -1, -2, 4, 2, -1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, -1, 2, 4, 0, 0, 1, -1, -1, 1, 1, 0, 1, 1, 0, 0, -1, 1, -1, -1, -1, -1, 2, 0, -1, 0, 4, 1, 0, -1, 0, -1, 1, 2, -1, 1, 1, 1, -2, -1, 0, -1, 1, 0, 0, -1, 0, 0, 1, 4, -1, -2, -1, -1, 1, 1, 0, 0, 1, 2, 0, -1, -2, 0, 1, 0, 0, 0, 1, 1, 0, -1, 4, 1, -1, 2, -1, -1, -1, 1, 0, -1, 0, 2, 0, 0, -2, -2, -1, 2, 0, -1, -1, -2, 1, 6, 1, 0, -3, 0, 0, -1, 0, -1, 1, 0, 4, 1, -1, -1, 0, 1, 0, -1, 0, -1, -1, 1, 4, -1, 0, 0, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 0, 0, 1, 1, -1, -1, 2, 0, -1, 4, 0, 0, 1, 1, 0, -1, 0, 2, 0, -1, 1, 1, 1, -1, 0, 1, 1, 1, -1, -3, 0, 0, 4, 0, 1, 0, 1, 0, 0, 0, -1, -1, -1, -1, 2, 0, -1, 0, 2, 1, -1, 0, 0, 0, 0, 4, 0, 1, 1, 1, -2, -1, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, 0, 0, 1, 1, 0, 4, 0, 0, 0, 1, 1, 1, -2, -1, 1, 2, -1, 1, 1, 1, 0, 1, -1, 0, 1, 0, 1, 0, 4, 1, 0, -2, 1, -1, 0, -1, -1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, -1, -1, 1, -1, 0, 1, 0, 0, 0, 4, 0, -1, -1, 0, 1, -1, -2, 1, 0, -1, -2, 0, 0, 1, 1, 0, 0, -2, 1, -2, 0, 0, 4, 0, 1, 0, 1, 0, 0, 0, 1, 1, -1, -1, 2, 0, -1, 2, 0, -1, 1, 1, 0, -1, 0, 4, 1, -1, -2, -2, -1, 2, 0, -1, 0, -2, 0, 4, 1, 0, -1, 0, 1, -1, 0, -1, 1, 1, 6, -1, -1, 1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, -1, 0, -2, 0, 0, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 0, 1, 1, -1, 0, 1, 0, 0, 2, -1, -1, -2, -1, 2, 0, -1, 1, 4, -1, 0, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, 2, 0, -2, 0, -1, 0, -1, 1, -1, -1, 4, -1, 1, 0, -2, 0, -1, 1, -1, 1, 1, 1, 1, -1, 0, 1, 1, -1, -1, 0, -1, 0, -1, 4, -2, 0, 2, 1, -1, -1, -1, -2, -2, 0, 0, -1, 1, 1, -1, -1, 2, -1, 1, 0, 1, -2, 4, 1, -1, 1, 0, 0, 1, 2, 0, -1, 1, 0, -1, -1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 4, -1, 1, 0, -2, -1, 0, -1, 1, 3, 0, 0, -1, -2, 1, 1, 0, 0, 1, -2, 2, -1, -1, 4, 1, 1, 0, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, 1, -1, 1, -1, 0, 1, 1, 1, 1, 4, -1, 0, 1, 0, -2, 0, 0, -1, 1, -1, 0, 1, 2, -1, 1, 1, -1, -1, 0, 0, 1, -1, 4, 0, 0, 1, 1, -1, 1, 1, -1, 0, -1, 0, -1, 0, -1, -1, 1, -1, 0, -2, 0, 0, 0, 4, 1, 1, 1, 0, -1, -1, 1, 0, 2, 0, -1, -1, 0, -1, -1, -1, 1, -1, 0, 1, 0, 1, 4, 0, 0, -1, -2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, -2, 2, 0, -1, 0, 1, 1, 0, 4, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, -2, 0, -1, -1, -2, 1, 1, 0, 0, 4, 0, 0, 0, -1, 0, 1, 0, -2, 1, 0, 1, 1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 4, 1, 0, -1, 1, 0, -1, 0, -1, 2, 2, 1, 0, 1, 3, -1, 0, 1, -1, -2, 1, 0, 1, 6, -1, -1, -1, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 4, 0, 0, -1, 0, 0, 2, -1, -2, 0, 1, -1, 0, -1, 1, -1, 1, 1, -1, -1, -1, -1, 0, 4, 0, 1, 0, 1, 0, -2, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4, 1, -2, 0, 0, -1, -1, 1, -1, 0, -2, -1, 0, -1, 2, 2, 0, 1, 0, -2, -1, 1, 1, 4, -1, -1, 0, 2, 0, -1, -1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, -1, 4, 1, 0, 0, -1, -1, 2, 0, 1, 1, 2, -1, -1, 0, -1, -2, 0, 0, 0, 1, 0, -1, 1, 4, -1, -1, 1, 0, -1, 1, 0, -1, -1, 0, -1, 0, 0, 1, -1, 0, 2, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, -1, 1, 2, -2, -1, 1, 1, 0, 0, 0, 0, -1, 2, 1, 0, 1, 1, 0, -2, 4, 1, 2, 2, -1, 0, 2, -1, -2, 1, 1, 1, 1, -1, 1, -2, -2, -1, -2, -1, 1, 0, 1, 4, 1, 1, 1, 2, 0, -1, -1, 2, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 2, -1, 2, 1, 4, 2, 0, -1, 1, 0, -2, 1, 0, -1, 0, 1, 2, -2, 0, 0, -2, -1, 1, -1, 2, 1, 2, 4, -1, -1, 1, -1, -2, 2, 0, -1, 0, 1, 2, -2, 0, -1, -2, 0, 2, 1, -1, 1, 0, -1, 4, 2, -2, 1, 0, -1, 1, -1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, -1, -1, 2, 6, -1, -2, -1, 0, 0, 1, 0, -1, -1, 2, 1, 1, -1, 1, 1, -2, 2, 0, 1, 1, -2, -1, 4, -1, -1, 1, -1, 1, -1, -1, 0, -2, -1, 1, -1, 0, 0, -1, -1, -1, 0, -1, 1, -2, -1, 4, 1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 1, -1, 0, 1, -2, -1, -2, -2, 0, -1, -1, 1, 4, 0, 0, 1, 1, 0, -1, 1, 0, 0, 2, 0, -1, 1, 1, 2, 1, 2, -1, 0, 1, -1, 0, 6, 1, 1, 1, -1, 2, -2, -1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 4, 0, 2, -1, 1, 0, -2, -2, 0, 0, 1, 0, 1, 0, -1, -1, -1, 1, 1, -1, 1, 1, 0, 4, 0, -1, -1, 0, -2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 1, 1, 2, 0, 4, -1, 1, 0, -1, -2, 0, 0, 1, 0, -1, 0, 1, 1, 1, -1, -1, 1, 0, -1, -1, -1, -1, 4, 0, 0, 1, 1, 0, -1, 1, -1, 1, 1, 2, 2, 0, -1, 0, 1, -1, 2, 1, -1, 1, 0, 4, -1, 0, -1, -1, 0, 2, 2, -2, 0, -2, -2, 2, 2, -2, 0, 1, -2, 0, 0, 0, 0, -1, 4, 1, 0, 1, 1, 0, 1, -2, 0, 0, 0, 1, 1, -1, 0, 0, -1, -2, -2, -1, 1, 0, 1, 4, 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 1, 0, 0, 0, -2, 1, -2, 1, -1, 0, 1, 4, 0, 0, 0, 1, -2, -1, -2, -2, 0, -1, -1, 1, 2, 0, 0, 1, 0, 0, -1, 1, 0, 0, 4, 1, -1, 1, -1, 0, -1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 1, 0, 1, 4, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, -1, 2, 1, 0, 1, 1, 2, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 2, 1, -2, 2, 1, -2, -1, 2, 0, -2, 1, 0, 2, -1, 2, -2, 0, -1, -2, 4, 0, -1, -2, -1, 2, -2, 0, 2, 1, -2, 0, 0, 0, -1, -1, 1, -2, 2, 1, 2, 2, 0, 6, 2, 0, 2, 0, 1, 2, 0, -2, 1, -2, 1, 0, -2, 1, 0, -1, 0, 0, 2, 1, -1, 2, 4, 0, 0, 0, 1, 1, 0, -1, 2, 0, 2, 1, 1, -1, 1, 0, 0, 1, 1, 2, -2, 0, 0, 4, 0, -2, 1, 1, -2, 0, 1, 1, -1, 0, 1, 1, 0, 1, -2, -1, -1, 1, -1, 2, 0, 0, 4, -1, 2, -1, -1, 0, 1, -2, -1, 1, -1, 2, -2, 0, -1, -1, 1, -2, 2, 0, 0, -2, -1, 4, -1, 0, 2, 0, -1, 0, 2, -1, -1, -2, 0, -1, 2, 0, 0, 2, -2, 1, 1, 1, 2, -1, 4, -1, -2, 0, 2, -1, -1, 1, 0, 2, -1, 1, -2, 0, -1, 1, 0, 2, 1, 1, -1, 0, -1, 4, 0, -2, 0, 1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -2, 2, 0, 0, -2, -1, 2, -2, 0, 4, 0, -2, -1, 2, -1, 0, -2, 1, -2, 2, 0, 2, -1, 1, -2, -1, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, -2, 1, 2, 1, 1, -1, 2, 0, -2, 0, 4, 0, 0, 1, 0, 1, 0, 2, -2, 0, -1, 0, 0, -2, 0, 1, -2, 0, -1, 1, -1, 0, 0, 4, 0, 1, 1, -1, 0, 1, 0, 1, -2, -2, 0, 1, 2, -1, -1, 2, -1, 1, 2, 0, 0, 0, 6, -1, 0, -3, 1, -1, 2, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, 0, -1, 1, 1, 1, -1, 4, 0, 1, -1, 1, -1, 2, 1, 0, -1, -2, 1, 1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 0, 0, 0, 2, -1, 1, -1, 1, 2, -2, 2, -1, -2, 0, 1, -1, -3, 1, 0, 4, -1, 1, -2, 0, 0, -1, 1, 0, 1, 0, -2, 0, -1, 0, 1, 0, 0, 0, 1, -1, 1, -1, 4, -1, 1, 1, 1, 2, -2, -1, 0, 1, 0, -1, 1, 0, -2, 0, 2, 1, -1, 1, 0, 1, -1, 4, -2, 0, -2, -2, 2, 0, 0, -2, -1, 2, -2, 0, 2, 0, -2, 0, 2, -1, 0, -2, 1, -2, 4, 1, 1, 0, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 4, 0, -1, 2, 2, 1, -1, 1, 0, -1, 1, 2, 0, -1, -2, 1, 1, 0, 0, 1, -2, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 0, 0, 0, -2, 1, -1, 1, 2, 2, 2, -2, -2, 1, -2, -1, 2, 1, 1, 1, 6, -2, 3, -1, 1, -1, 0, -2, -1, 2, 1, 1, 1, -3, -3, -1, -1, -2, 1, 0, 2, 2, -2, 6, 1, 2, -2, 2, -2, 2, -2, 0, 2, 1, 1, 1, -1, 3, -2, 1, 2, -1, -1, 1, 3, 1, 6, 2, -2, 2, 0, -2, -1, 2, 2, 0, 0, -3, -4, 2, -2, 0, 2, -1, 0, 0, -1, 2, 2, 4, -2, 2, 0, 0, -1, 1, 1, -1, -1, 1, 0, 1, -1, 1, 1, -1, -1, 0, 1, -2, -2, -2, 4, -2, 1, 1, 0, -1, -1, 0, 0, 0, 1, -2, 1, 0, -1, 1, 2, 0, -1, 2, 2, 2, -2, 4, -1, -1, -1, 0, 1, -1, -1, 1, 0, 2, -1, 1, 1, -1, -2, -2, 0, -2, 0, 0, 1, -1, 4, -1, 1, 0, -2, -2, -2, 1, 1, -1, 2, 1, -2, -1, 1, 1, -2, 2, -2, 0, 1, -1, -1, 4, 0, -1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, -1, -1, -2, -1, -1, 0, -1, 1, 0, 4, 0, -1, -1, -1, 0, 0, 0, 1, 1, -1, 1, -1, 1, 2, 0, 2, 1, -1, 0, 0, -1, 0, 4, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, -1, 1, -2, 0, -1, 0, 4, 1, 2, -1, -2, 1, -2, -1, 2, 0, 0, 2, 1, 1, 0, -1, 0, -1, -2, 1, -1, 0, 1, 4, 2, -2, -1, 0, -2, -2, 1, 1, 1, 2, 1, 1, 0, -1, 0, -1, -2, 1, -1, 0, 2, 2, 4, -2, -1, 0, -1, -2, 1, 1, 1, -2, -3, 1, -3, 1, 0, 1, 1, 1, 0, -2, -1, -2, -2, 6, 3, -1, 1, 2, -1, -2, -1, -2, -3, -1, -4, 0, 1, 0, 1, 1, 0, -2, -2, -1, -1, 3, 6, -1, 2, 0, -2, 0, 0, 1, -1, 3, 2, 1, -2, 2, -1, 0, 0, 1, 1, 0, 0, -1, -1, 4, -1, 1, 1, 0, -1, -2, -1, -2, -2, -1, 1, -1, 2, 0, 1, 0, -2, -2, -1, 1, 2, -1, 4, 1, -2, 0, 0, -1, -2, 1, 0, 1, 0, 1, 1, 1, 1, 0, -1, -2, -2, 2, 0, 1, 1, 4, -1, -1, -1, 2, 1, 2, 2, 1, -1, 1, -2, 0, -1, 0, 2, 1, 1, -1, -2, 1, -2, -1, 4, 1, 0, 1, 0, -1, -1, -1, 1, -1, -1, 0, 1, 0, 0, 1, 1, -2, 0, 0, 0, -1, 1, 4, 0, 1, 2, -1, 0, -1, 2, -2, 1, 0, -1, 0, 0, 1, 1, -1, 0, -1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 2, -1, 1, 1, -1, 0, -2, -2, -1, 1, 0, 2, 2, -1, 0, -2, 0, 1, 2, 4, -2, 0, 0, -2, -1, -1, -1, 1, -2, -2, 1, 0, 1, 1, 1, -1, -1, 0, -1, 1, -2, -2, 4, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, -1, 1, 0, -2, 2, 1, 1, 0, 0, 1, 0, 1, 4, 2, 0, 1, 0, 1, 1, 0, 0, 1, -1, 0, 0, -1, 1, -1, 0, 0, -1, 2, 0, 0, 2, 4, 1, 2, 2, 1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 1, -1, 1, 0, -1, -2, 1, 0, 1, 4, 2, 2, 2, 0, 2, 0, -2, 1, 0, -1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, 2, 2, 6, 0, 0, 0, 1, 0, 0, 0, -1, 2, 0, 1, -1, 0, 2, 0, 1, -1, 1, 0, 2, 2, 0, 6, 2, 0, 1, -1, -3, 1, 2, 1, -1, -1, 2, -1, 1, 0, -1, -1, 1, 1, 1, 2, 0, 2, 4, 1, 1, 1, -1, -1, 1, -2, -1, -1, 0, 1, 0, -2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 4, 0, 0, 2, -1, 2, -1, 0, 1, 0, 1, -1, 0, -2, -2, 2, 0, 0, 2, 1, 1, 1, 0, 4, 0, 0, -1, 0, 0, -2, 1, 0, 0, 0, 0, -2, -2, 1, 0, -1, 0, 0, -1, 1, 0, 0, 4, 1, -1, 0, -2, 0, 1, 0, 2, 1, -2, -1, 1, 1, 1, -1, -2, 0, -3, -1, 2, 0, 1, 6, -1, 0, 1, 0, 1, -1, 2, -1, 1, 1, 0, -1, -1, 0, 1, 0, 1, -1, -1, -1, -1, -1, 4, -1, 1, 1, -1, 0, -1, 1, 1, 0, 1, 1, 0, 0, 0, -1, 2, 1, 2, 0, 0, 0, -1, 4, -1, -1, 0, 1, 1, -1, 0, 2, 1, 0, 0, 1, -1, 2, 1, -2, -1, 0, -2, 1, 1, -1, 6, 1, 0, 0, -1, 1, 3, 2, 1, -2, -1, 0, -1, 0, -1, -1, 0, -2, 0, 0, 1, -1, 1, 4, -1, 0, -1, 0, 1, -1, -1, 2, 1, 0, 0, 1, -1, -1, 1, 1, 1, 1, -1, 0, 0, -1, 4, 0, 1, 1, 0, 0, -1, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 4, -1, 0, 1, -2, 0, 1, 0, -1, 0, 0, -1, 1, 1, 0, 2, 2, -1, 1, -1, -1, 1, -1, 4, 1, -1, 0, -1, 0, 0, 1, 1, 2, 1, 0, -1, 0, 1, -1, 1, -1, 1, 0, 1, 0, 1, 4, -1, 1, 1, 0, -1, 0, -1, 0, 0, -2, 0, 0, -2, 1, 1, 0, 3, 1, 0, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, -1, 0, 0, -1, 1, -2, -2, 1, -1, 2, 0, 1, 0, -1, 1, -1, -2, -2, 4, -2, 2, 0, -1, -1, -1, 1, 0, 0, 0, -1, -1, -1, 0, -1, -1, -1, -1, 1, 1, 2, -2, 4, -2, 0, 0, 1, 1, -1, 1, -2, -1, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, -2, 2, -2, 4, 1, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 4, -1, 1, -1, 1, 1, 1, -1, 1, 1, 0, -2, -1, 1, 0, 1, 1, -1, -1, -1, 0, 0, -1, 4, 1, 2, 0, -2, 1, 2, 0, 0, -1, 1, 1, 0, 2, 0, -1, 1, 0, -1, 1, 0, 1, 1, 4, 2, 1, -1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 0, 0, -1, 1, -1, -1, 2, 2, 4, 1, -2, -1, 1, 0, 0, -1, 2, 1, 0, 0, 0, -1, 1, -1, 1, -1, 0, 1, 0, 1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, -2, -1, -2, 0, 4, 0, -2, 0, 0, 1, -1, 0, 1, -1, 0, 0, -1, -2, 0, -2, 1, 1, 1, 0, -1, 0, 0, 4, 1, 1, 2, -1, -1, 0, 1, 2, 1, 0, 0, -2, 0, -1, 0, -1, 2, 0, 1, 0, -2, 1, 4, 0, 1, -2, 1, 0, -1, 1, 0, 0, 2, 1, -1, 0, -1, 1, 0, 1, 0, 0, 0, 1, 0, 4, 1, 0, 0, 0, 0, 0, 2, -1, -1, -1, -1, -1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 4, -1, -1, 1, 0, 2, 1, -1, 1, 2, -1, 1, 0, 0, -1, 0, -1, 0, 1, -1, -2, 0, -1, 4, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -2, 1, 0, 2, 0, -1, -1, 1, 0, -1, -1, 4, 1, 0, -1, -1, 0, 1, 1, -1, 0, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 4, -1, 1, 1, -2, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 1, -1, 0, 0, 0, 0, -1, 4, 0, 0, 1, -1, -1, -1, -1, 1, 0, 2, 1, 0, 0, -1, 2, 1, 0, 2, 0, -1, 1, 0, 4, 0, -1, 1, 1, -1, 0, -1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, -1, 1, 0, 0, 4, 0, -1, -1, 1, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, -1, -1, 0, 0, -2, 1, -1, 0, 4, -1, -2, 1, -1, 1, -1, 1, 0, 1, 1, -1, 0, 2, -1, 1, -1, 1, 1, -1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 0, -1, -2, -1, 2, 0, -1, 1, 2, 1, -2, 0, 0, 2, -1, 0, 1, 0, 1, 2, 4, 1, -1, -1, -1, -2, 1, -1, -1, 1, 0, 2, -2, -1, 1, 0, -1, 0, 1, 0, 2, 2, 1, 4, 0, -2, -1, -2, 2, 1, -1, 2, 1, 2, -1, 0, 0, 1, -2, -1, 2, 1, 1, 0, -1, 0, 4, -1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, -2, -1, -1, 0, 1, 1, 0, -1, -1, -2, -1, 4, 1, 2, -2, -1, 1, -2, 0, -3, 1, -1, 0, -1, 2, 1, -2, -1, 0, -2, -1, -1, 0, 1, 6, 3, -1, -1, -1, 1, -1, 0, 1, -1, -2, -1, -1, 2, 1, -1, 0, -1, -2, -2, 0, 2, 3, 6, -2, -2, 1, -1, 1, -3, 2, 1, -1, 1, 1, 1, -1, -2, 0, 2, 1, 2, 1, -2, -1, -2, 4, 0, 0, 2, 1, 2, -1, 0, 0, 0, -2, -1, 2, 0, 1, 0, -1, 1, 1, -1, -1, -2, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, -1, -1, -1, -1, 1, 1, -1, 1, 0, 0, 4, -1, 1, -2, 2, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 2, 1, -2, 1, -1, 2, 0, -1, 4, 0, 3, 0, 0, -1, 0, -2, 0, 2, 0, 1, 2, 0, 1, 1, 0, -1, 1, 1, 0, 1, 0, 4, -1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, 2, 2, 1, -3, 0, -3, 2, 0, -2, 3, -1, 6, -2, 0, -1, 0, -3, 1, 3, 1, 1, -2, -2, -1, 1, 1, 1, 2, -1, 0, 2, 0, 0, -2, 4, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0, 1, 1, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, -2, 0, -2, -1, 0, 0, 1, -1, 0, -1, 0, 0, 4, 1, 1, -2, -1, 0, 1, 2, 0, 1, -1, -1, -1, 1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 4, 0, 0, 0, 0, 0, -1, -1, -2, -1, 2, -1, 1, -2, 0, 1, -2, -1, -3, 1, 0, 1, 0, 4, 0, -2, 0, -1, 0, 0, -1, 0, 1, 2, 1, -1, -1, -1, 0, -1, 1, -1, 0, -2, 0, 0, 4, 0, -1, 0, 1, 1, 2, 1, -2, 1, -1, 2, 0, -1, 2, 0, 3, -1, 0, -1, 0, -2, 0, 4, 1, 1, 0, 0, 1, 1, -1, -1, -2, 0, 2, -1, 0, 0, 1, 0, -1, 0, 0, 0, -1, 1, 4, -1, 1, 2, 1, 0, 0, 0, 0, 1, -1, 1, 1, 1, 1, 0, 0, 1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 2, -2, -1, 1, 0, 1, 2, 2, 1, -1, -1, 0, -1, 0, 2, 2, 0, -1, -1, 4, -1, -1, 0, 0, -1, -2, 0, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, 1, -1, -1, 0, -1, 4, 1, 1, -1, -1, 1, 0, -1, 0, 1, -1, 2, 0, -1, -2, 1, 0, 0, -1, 0, 2, -1, 1, 4, 2, -2, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, -1, 2, 0, 1, 2, 4, -2, 0, 0, -1, 0, 1, 2, 0, 0, -1, 1, -1, 1, 1, 1, -1, -1, -2, 0, -1, -2, -2, 4, 1, -1, 1, -1, -1, -2, 0, 0, 2, 0, 0, -1, -1, -1, 1, 0, -1, -1, -1, 0, 0, 1, 4, -1, -1, 0, -1, -2, -1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, -2, 1, 0, 0, -1, -1, 4, 1, 0, 0, 1, 1, 0, 1, -1, -1, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1, -1, 1, 4, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, -1, 4, 0, -1, 1, -1, -1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, -1, -1, 0, 0, 0, 4, 1, 1, 0, 0, 0, -1, 0, 1, 2, 0, -2, 2, 1, 1, 0, 2, -2, -2, 1, 0, -1, 1, 6, 0, -1, -2, -2, -1, 2, 1, 1, -1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 1, 1, 1, 0, 4, -2, 1, 0, 1, -2, 1, 1, 2, -1, -1, -1, 2, 0, 0, 0, 1, 0, 0, -1, 0, -1, -2, 4, 0, 0, -1, 1, -1, -1, -1, 1, -1, -1, 0, -1, -1, 2, 0, 1, 1, -1, 0, -2, 1, 0, 4, 1, -1, -2, 0, 0, 2, -1, 0, 0, -1, 1, 1, 0, 0, -1, 0, 1, 0, -2, 0, 0, 1, 4, 0, 0, -1, 0, 0, 0, -1, 1, -2, 0, -1, 0, 1, -1, 1, 1, -1, -1, 1, -1, -1, 0, 4, 0, 0, -1, 0, 1, 0, 1, 1, 0, 1, -1, 0, -1, 0, 0, 0, 2, -2, 1, -2, 0, 0, 4, 0, 0, -2, 1, 2, 0, 0, 0, 1, -1, 0, 1, 0, 1, 1, 1, 1, -1, 0, -1, 0, 0, 4, 1, 0, -1, 2, 1, 0, 1, 1, -1, -1, 0, 0, 0, 2, 1, 1, -1, 0, 0, -1, 0, 1, 4, 1, -2, 0, -1, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1, 2, -1, 2, 0, 0, -2, 0, 1, 4, -1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, -2, 0, -1, 1, -1, 0, 1, 1, -1, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 0, 0, 0, -1, -2, -1, 2, -1, 1, 0, -1, -1, 1, -2, 0, 2, 1, 1, 2, 4, -2, 0, 1, 1, -1, -2, -2, 0, 2, -1, 0, -1, 0, -1, 2, -2, -1, 2, -1, 0, -2, -2, 4, -1, -1, -1, -1, 2, 2, 1, -2, 1, 0, 0, 0, 1, -1, 2, 0, -2, 0, 0, 1, 0, -1, 4, -1, 1, 0, -1, -2, 0, 1, -2, 2, 2, -2, 1, 0, -1, 2, 1, 1, 2, 0, 1, -1, -1, 4, 0, 1, 0, 1, -1, 1, 1, 0, 0, 0, -2, 2, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, 4, -1, 0, -2, 1, 0, 0, 1, 1, -1, 0, 2, 0, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 4, 1, 2, -1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, -2, 2, -1, 0, 0, 1, 4, 2, 1, -1, 2, 0, 1, 0, 1, -1, 1, 1, -1, 0, 1, -2, -2, 2, -2, 1, -2, 2, 2, 6, -1, -1, 2, -2, 0, 2, 0, -1, 1, 0, -1, -1, 0, -1, 0, 1, 0, -1, 1, -1, 1, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 1, 1, 0, 0, -1, -1, 0, 4, -1, 1, 1, 0, -1, 1, -2, 0, 2, 0, 1, -1, -1, 1, -2, 1, 0, 0, 2, 2, 0, -1, 4, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 2, 0, 1, -1, 0, -2, 0, 1, -1, 4, 1, -1, 0, 1, -1, 2, 1, 1, 2, 0, -1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 4, -2, 1, 0, 0, 1, 0, 1, 2, -1, 0, 0, -2, 0, -1, 1, 0, 2, 0, 0, 0, -1, -2, 4, -1, -1, 0, 0, 0, -2, -1, -1, -1, 1, 1, -2, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 4, -1, 1, 0, -1, 0, 1, 1, 2, -1, 0, 2, 2, -1, -1, -1, 0, 1, 0, 1, 0, -1, -1, 4, -1, 0, 1, 0, 1, -2, -2, 2, -1, -1, 0, 0, 1, 1, 0, -2, 0, -1, 0, 0, 1, -1, 4, 0, -2, 0, -1, 0, -1, 0, 2, 0, 1, 1, 1, 0, 0, 0, -1, 2, 1, 0, 0, 0, 0, 4, 0, 0, 2, 2, 2, -2, 1, 1, 0, 0, -1, -1, 0, 2, -1, 1, 0, 0, -1, 1, -2, 0, 4, 1, 1, 1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 1, -2, 0, 0, 0, 0, 1, 4, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, -1, 1, 1, -1, 2, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, 2, 0, 1, -2, 1, 0, -1, -2, 1, 0, -1, -2, 0, 0, -2, -1, 2, 0, 4, -1, -1, 1, 0, 1, 0, 1, 2, -2, -1, 1, 1, 1, 1, 2, 0, 1, 1, -1, 1, 1, -1, 4, 0, 0, -1, -1, 2, -1, -1, 2, -1, 0, 1, -2, 0, 0, -1, -2, 0, -1, 2, 2, -1, 0, 4, -2, 1, 0, 0, -2, 1, 0, 1, -2, 0, 1, -1, -2, -1, 0, -2, 0, 1, -2, 1, 0, -2, 4, -2, 1, -1, 1, -1, -1, 0, 2, 0, 0, 0, 1, -1, 0, 2, 0, 0, 2, 0, -1, 1, -2, 4, 1, 0, -1, 1, -1, -1, -2, 1, 0, 0, -2, 1, 0, -2, -1, 1, 0, 1, -1, 0, 1, 1, 4, -1, -1, 1, -2, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, 2, 0, -1, 0, -1, 4, 0, 1, 1, -1, 0, 2, 0, 1, 1, 0, -2, 0, -2, 0, -2, 1, -1, -2, 1, -1, -1, 0, 4, -1, 0, 1, 2, 0, 0, 1, 3, 0, 0, 2, 0, -2, 1, 2, -1, 1, -1, 1, 1, 1, -1, 4, -2, -1, -1, 1, 2, 1, 0, 1, 0, -1, -1, 1, 0, -2, 2, 0, -1, -1, -2, 1, 0, -2, 4, 1, 0, -1, -2, -1, 0, 0, -1, 0, 1, -1, -1, -1, -1, 1, 0, -1, -1, -1, 1, -1, 1, 4, 0, -1, 1, 0, 1, 0, 0, 0, 1, -2, -2, 1, 0, -2, 2, -2, 0, 0, 2, -1, 0, 0, 4, -1, 0, 0, 2, 0, 0, 2, 0, -1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, -1, -1, -1, 4, 0, 1, 0, -1, -1, 0, -2, 2, 0, 1, -2, 1, 0, 0, 0, 0, 0, 2, -2, 1, 0, 0, 4, 0, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 0, 0, 1, 1, 1, 1, -1, 0, 0, 1, 0, 4, 2, 0, -1, 0, -1, -1, -2, 2, 0, -2, 1, -2, -1, 1, 3, 0, 0, 1, 2, 0, 1, 2, 6, 1, -1, 2, 0, -2, 0, 0, -1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 1, 4, 0, 0, 1, -1, 0, 1, -2, 0, 0, 0, 1, -2, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, 4, 0, 1, 0, -2, 1, 0, -2, 2, -2, 0, 0, 2, -1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 4, 1, -1, -1, -1, -1, 0, 0, -1, 0, -2, 0, -1, 1, 1, 0, -2, 0, -1, 0, 1, 1, 1, 4, -2, 2, 1, 2, 1, 0, 1, 0, 0, -2, 1, -1, -2, -1, 2, -1, -1, -2, -1, 0, -1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, -2, 1, -1, -1, 1, -1, 1, -2, -1, 0, 0, -1, 2, 0, 0, -2, -1, 1, -2, 4, -1, 1, 2, 1, 0, 1, 1, 2, -2, 2, 1, 1, 0, 1, -1, 1, -1, 1, 2, 0, 0, -1, 4, 1, 0, 1, 0, 1, -2, -1, -1, 0, 1, 0, 0, 1, -1, -2, 2, 0, -2, 1, -1, 1, 1, 4, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, -1, 1, 1, 0, -2, 2, 0, 0, 4, 1, 1, 1, -1, 2, -1, 2, 0, -1, -1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, 2, -1, 0, 0, 1, 1, -1, 4, 1, 1, 1, -1, 0, 1, -1, 0, 0, 1, 1, 0, 0, -1, 0, -1, 1, 1, 1, 1, 1, 1, 4, 1, 1, -2, 1, 2, 1, 1, 1, -1, 0, 1, 1, -1, 1, 1, 1, -2, 1, -1, 0, 1, 1, 6, 2, -1, -1, 1, 1, 2, 1, 2, 2, -2, -1, 0, -1, -1, 2, -1, 0, 2, 0, 1, 1, 2, 4, -1, 1, 0, -1, 0, 2, 0, 1, 0, 0, 1, 0, 1, -2, -1, 0, -1, 0, -1, -2, -1, -1, 6, -2, -3, 0, -2, -1, 1, 1, 0, 1, 1, -1, -2, 2, 0, 0, 2, 0, 0, 1, -1, 1, -2, 4, 0, -1, 0, 1, -2, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 1, 2, 1, 0, -3, 0, 4, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, 1, -1, 0, -1, 1, 4, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, -1, -1, 0, 1, 2, 0, -2, 0, 2, 0, 4, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 1, 1, 0, 0, 1, 1, 2, -1, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0, -2, -1, 1, -1, 2, 0, 1, -2, 0, 0, 0, 0, 4, 1, -1, -1, 0, 0, 0, 1, -2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 4, -1, 1, 2, 0, 0, -1, 2, -1, 1, 0, 0, 1, -2, 0, 0, 0, 0, -1, 0, 0, -1, -1, 4, 0, -2, 1, -2, 1, 0, 1, 1, 0, 0, 1, -1, 0, 1, 0, 1, 1, 0, 0, -1, 1, 0, 4, 2, 0, -1, 2, -2, 1, 1, 1, -1, -1, 0, 1, 1, 0, 0, 1, -1, 0, 0, 2, -2, 2, 6, 0, 1, 0, 1, 0, 1, 2, 0, 1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 1, -1, 0, 1, 1, -1, 0, 2, -1, -2, 2, -2, 1, 1, -1, 1, -2, -2, -2, -2, 4, 0, 0, 0, 1, -1, -1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 4, 0, -2, 1, 1, 2, 0, 2, 1, 1, 0, 1, -2, 1, -1, 1, -1, 0, -1, -1, 1, 0, 0, 4, -2, -1, 0, -1, -2, 1, 1, 1, 0, 0, -2, 2, -1, -1, 2, 0, 0, -2, -1, 0, -2, -2, 6, 0, 0, 0, 2, -3, -1, -1, 1, 0, 0, -1, 1, 1, 0, 1, 0, 3, 0, 1, 1, -1, 0, 4, -1, 1, 2, 1, 1, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, -1, 1, 0, 0, -1, 4, 2, 0, 1, -1, 0, -1, 1, -1, -1, -1, 0, -1, -1, -1, 1, 1, -1, 2, -1, 0, 1, 2, 4, 0, 1, 0, -1, -1, 1, 0, 0, 0, 0, -1, -1, -1, 1, -1, 1, 0, -2, 2, 2, 0, 0, 4, 0, -1, 0, 0, 0, 0, -1, 0, 1, -2, 0, 0, 2, 0, 1, 2, 1, -3, 1, 1, 1, 0, 4, 0, 0, 0, 1, 0, 1, -1, 0, -1, 0, -1, -1, 2, 0, 1, 1, -1, 1, -1, 0, -1, 0, 4, 0, 0, 1, -1, 2, 1, 0, 2, 0, -1, -2, -1, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, 4, 0, -2, -1, 1, -2, 0, 0, 0, 2, -1, -2, 2, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 4, -1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, -2, -1, 4, -1, 0, 1, 0, 0, 0, -2, 0, -2, 0, -2, -2, 0, 1, -1, 0, 0, 0, -1, -1, 0, -1, 6, -2, 0, -1, -1, 0, 1, 1, 1, 0, 1, 2, -1, 0, -1, 0, -1, 1, 2, 1, 0, 0, -2, 4, 0, 0, 2, 0, 0, -2, 1, 0, -1, -1, 1, 0, -1, 0, 0, -1, 1, -2, 0, 1, 0, 0, 4, 1, 1, 0, -1, 0, -1, 2, 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, 1, 4, 0, 2, 0, 2, 1, 0, -1, 2, 0, -1, -1, -1, -2, -1, 2, 0, 0, 0, -1, 2, 1, 0, 4, 0, 0, -1, -2, 2, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 4, 1, 1, -2, 0, -1, 0, 0, -1, -1, -1, 0, -1, -1, 2, 0, -2, 1, 0, -1, 0, 0, 1, 4, 0, -2, 2, -1, -2, 3, 0, 1, 1, 2, -1, -2, -1, 1, 0, 1, -2, 0, 2, -1, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 1, 0, -1, 1, -1, 0, 0, -2, 1, -1, 0, 1, 2, 1, 0, -2, -2, 2, -2, 4, 2, 2, -1, -1, 2, -1, 0, 1, 1, 2, -2, 0, -1, 0, -1, 0, -1, 2, 0, -2, -2, 2, 4, 1, 0, 0, 0, -1, 1, 1, 0, 2, -2, 0, -1, -1, -2, -1, 0, 2, 0, 0, -2, 2, 1, 4, -2, -1, 1, -1, 0, 1, 0, 1, -2, 0, 1, 1, -1, 0, -1, 1, 2, -2, 1, -1, 0, -2, 4, 0, -1, 0, 1, -1, 1, 0, 2, 1, -1, 0, -1, 0, 2, 0, -1, 2, 0, -1, 0, -1, 0, 4, -2, 1, -1, -1, -1, 0, 2, -1, 0, -1, 0, -2, 1, 0, 0, -1, -1, 2, 0, 1, -1, -2, 4, -1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 1, -2, 0, 1, 0, 1, -1, -1, -1, 0, 1, -1, 4, 0, 1, -1, -1, 1, 0, 1, 0, 2, 1, 0, -1, 1, 1, -1, 0, 1, 0, 1, -1, 0, 0, 4, 1, 0, 0, 1, 2, 1, 1, -1, 1, 0, 0, 1, 2, 0, 1, 1, 1, -1, -1, 1, 1, 1, 4, 0, 0, -1, -1, 1, 0, 0, 1, -2, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, -1, 0, 0, 4, 0, 0, 0, -1, 0, 0, 1, 1, 0, -2, 0, -2, 2, 2, 1, 0, 0, 0, -1, 0, 0, 0, 4, -1, 1, 0, -1, -2, -1, 0, 2, 0, -2, 1, -2, -2, -2, 2, 2, -1, 1, 1, -1, 0, -1, 6, 0, 1, 0, 1, -1, 2, -1, 1, 1, -1, 0, 0, 0, 1, -1, 0, 0, 2, -1, 0, 1, 0, 4, 0, 1, -1, 1, 0, 0, 1, 1, 0, -1, -1, 1, -1, 0, -1, 1, 1, 1, -1, 0, 1, 0, 4, 1, 0, 0, 0, 0, 2, -1, 1, 0, -1, 1, 0, -1, 1, 0, 1, 0, 0, -1, 0, 1, 1, 4, 0, 2, -1, -1, 1, 1, 2, -1, -2, -1, -1, 0, 0, 2, -1, 0, 0, -2, 1, -1, 0, 0, 4, 1, 0, -2, 0, 1, 1, 0, -1, 0, 0, -2, 1, 1, 1, 1, 1, -1, -1, 1, 0, 2, 1, 4, -1, -1, 0, 2, 0, -1, 0, -1, 2, 1, -2, 0, 0, -2, 1, 0, 2, 0, 0, -1, 0, -1, 4, 0, 0, 0, -2, 2, 2, 1, 0, 0, 0, -1, 0, 0, 0, 2, -1, 0, 0, -1, -2, -1, 0, 4, 1, -2, -2, 0, 0, 2, -1, 0, 1, 1, 1, 0, -2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 6, -1, 2, -2, 0, -2, 2, -1, 0, 1, 2, 1, 0, -2, 1, 1, -1, 1, 1, 2, 0, -2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 2, 0, 2, -2, 0, -1, 1, -1, 2, 0, -2, 0, 1, 1, -1, -2, 1, 0, -1, -1, 4, -2, -2, 1, -2, 1, 0, 0, 1, 0, 1, -1, 1, 0, 1, -2, 1, 1, -1, 1, -1, 2, -2, 4, 2, -1, 1, 0, -1, 0, -1, -1, 1, 1, -1, 0, -1, 0, 0, -2, 0, -1, 1, 2, -2, 2, 4, 0, 1, -2, -1, -1, 0, -1, 1, 1, -1, 1, -1, 1, 0, -1, 0, -1, 0, 0, 1, -1, 0, 4, -2, -2, 1, 0, 1, -1, 2, 1, 1, -1, 0, -1, 1, 1, -1, -1, -1, 2, -2, 1, 1, -2, 6, 0, -1, 1, -1, -1, -2, 0, -2, -1, 0, 2, -1, -2, 1, 0, -1, -2, 1, 0, -2, -2, 0, 6, -1, 0, 0, 0, -3, -2, 2, 0, -1, -2, 0, 0, 0, 2, 1, 0, 0, -1, -1, 1, -1, -1, 4, 1, 0, 0, 0, -1, 0, 1, 2, 1, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 1, 0, 1, 4, -1, 0, -1, 1, -1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 1, -1, 0, 1, -1, 0, 0, -1, 4, 1, 1, -1, 0, 0, 1, 0, -1, 1, 1, 1, -1, -1, 0, -1, -1, -1, -1, 0, 0, 0, 1, 4, -1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, -2, -3, 0, -1, 1, -1, 6, 0, 0, 0, 1, -1, 1, -1, -1, -1, -1, 0, -1, 1, 1, 1, 0, -2, -1, 1, -1, 0, 0, 4, -1, -1, -1, 0, 0, 0, 0, -2, 0, -2, 1, -1, -1, 1, -2, 2, 0, -1, 0, 0, 0, -1, 4, 0, -1, -2, 2, 1, -2, 1, 0, 0, 0, 0, 1, -1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 4, 1, 0, -1, 0, 0, 1, 1, 1, 1, -1, -1, 0, 0, -1, 2, 1, 1, 0, 1, -1, -1, 1, 4, 1, -1, 0, 1, 1, 0, 1, -2, 0, 1, -1, 2, -2, 1, 0, 0, 1, -1, 0, -2, 0, 1, 4, -1, 0, 1, 0, 1, -1, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 2, -1, -1, -1, 4, 1, -2, 0, 0, -2, 1, -2, -1, 1, -2, 0, 1, 1, 1, 2, -1, 0, 1, 0, 0, 0, 1, 4, -1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, -2, 0, 1, 1, -2, -1, 4, 1, 0, 0, 1, -1, -1, -1, 0, 2, 1, -1, 1, 0, -1, -2, 1, 1, 1, 0, 0, 0, 1, 4, 0, -1, -1, 1, 0, -1, -1, 1, 1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, -1, 0, -2, 0, -2, 1, 0, 0, -1, 2, 0, 0, -1, 2, 1, 1, 0, -1, 0, -2, 4, -1, 2, 1, 2, 0, 0, 0, 0, 0, 1, -2, 1, 0, 2, -2, -1, -1, 0, 1, 0, 1, -1, 4, 1, -2, -1, 0, 0, 0, 0, 0, -2, -1, -1, 0, -1, 2, 0, 1, 0, 0, 1, -1, 2, 1, 4, -1, 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, -1, 0, -1, -1, 0, 0, 0, 1, -2, -1, 4, 1, -1, -1, -1, 1, 1, 0, 0, 2, 0, 1, -1, 1, 0, 1, -1, 0, -2, 2, -1, 1, 1, 4, 1, 1, -1, 0, -1, 0, 0, 1, 1, 0, -1, -1, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, 4, -1, 0, 0, -2, -1, 2, -1, -1, 0, 1, 0, -1, -2, 0, -2, -2, 0, 0, 0, -1, 1, -1, 4, 0, 0, 0, 0, -2, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, 0, 4, 1, -1, -1, 0, 1, -1, 0, 1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 4, -1, -2, 0, 1, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, -1, 1, -1, -2, 0, -1, -1, 4, 0, -1, 1, 1, 1, -1, 0, 0, 2, 0, 1, -1, 1, -2, 1, 0, 0, -1, 0, -1, -2, 0, 6, 0, -1, 0, -1, -2, 1, -2, 0, 0, 1, 2, -2, -1, -1, 0, 0, 2, -2, 0, 0, -1, 0, 6, -1, 1, -2, 2, 0, 1, -1, 0, -2, 0, 1, -1, 0, 2, 1, -1, 0, 1, 1, 1, -1, -1, 4, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, -1, 1, 0, 1, 0, 4, 0, -1, -1, 1, 1, 1, -1, -1, 2, -1, 0, 1, 0, 0, 0, 0, 1, 1, -1, -2, 1, 0, 4, -2, 0, -1, 1, 0, 0, 2, -2, 2, -1, -1, -1, 1, -1, 1, 1, -1, -2, 2, -1, -1, -2, 4, 0, 2, -1, 0, 0, 1, -1, 0, 0, 1, -1, 0, -1, -1, 1, 0, 1, 0, 0, -1, 0, 0, 4, -1, 0, -2, 1, 1, -1, 1, -1, 0, 0, -1, 0, 1, 1, 0, -2, 1, 0, 1, -1, 2, -1, 4, 0, 1, 0, 0, 0, 0, -1, 1, -1, -2, 0, -1, -1, 2, 0, -1, 0, 1, 1, -1, 0, 0, 4, 1, 1, -1, 1, 0, 0, -1, 1, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 0, -2, 1, 1, 4, -1, 0, 0, 1, 0, 0, -1, -2, 1, -1, 0, 1, 1, -2, 0, -1, 0, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 0, 0, -2, 0, -1, -2, 2, -1, -2, -1, 0, 1, 2, 1, -1, -1, 1, 0, -2, 4, 0, -1, 1, 1, 1, 0, 0, 0, -2, 1, 1, 0, 0, 0, -1, 0, 1, 0, -1, 1, -2, 0, 4, -1, -1, 0, 2, 0, 1, 2, -1, -1, 2, 2, 1, 0, -2, -1, 0, 1, 0, 1, 1, -1, -1, 4, 1, 1, 0, -1, 0, -2, 0, 0, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, -1, 1, 4, 2, -1, 1, 1, -2, -1, 2, 0, 0, 1, 1, 1, -1, 2, 1, -1, 1, 0, 1, 0, 1, 2, 4, -1, 1, 1, -1, -1, 1, -1, 1, 0, 0, -1, 0, 1, 0, -1, 1, -2, 1, 2, 0, -1, -1, 4, 0, 1, 2, -1, 0, 2, 1, 1, 0, -1, 0, 1, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0, 4, 0, 0, 0, 1, -1, 1, 0, 1, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1, 0, 4, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, -2, 0, 2, -2, -2, -1, 2, 0, 0, 6, -1, 0, 3, 1, -1, -1, -2, 1, -1, -1, 0, -1, 2, -2, -1, 0, -1, -1, -1, 0, -1, -1, 4, 0, -2, -1, 1, 1, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, 2, 1, 0, 1, 1, 0, 0, 4, -1, -1, 0, 1, 0, 1, 1, -1, -2, 1, -2, 1, 2, -1, 0, -1, 2, -1, 0, 3, -2, -1, 6, 2, 0, 0, -1, -2, 0, 1, 1, 0, -1, 0, 2, -1, 0, 1, 1, 1, 1, 1, -1, -1, 2, 4, 0, 1, 0, -1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, 0, 0, 0, 4, 1, 0, -1, 1, 1, 0, 2, 1, 0, 0, -1, 1, 0, 0, 1, 0, -1, 1, 1, 0, 1, 1, 4, 2, 0, 0, 0, 0, 2, 2, -1, -2, 0, 1, -1, -1, 1, 0, -2, 1, 0, -1, 0, 0, 2, 4, 0, 0, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, 1, -2, -1, -1, 0, 0, 4, -1, -2, 0, 0, -1, 1, 0, 1, 2, 1, 1, 1, 0, -1, -1, 1, 0, 0, 1, 0, 0, -1, 4, 1, 0, 1, -1, 0, 1, 0, 1, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 0, 0, -2, 1, 4, 1, 0, 1, -1, 0, 1, -1, -1, 1, 0, -1, 0, 0, -2, 1, 1, 0, 0, 1, 0, 0, 1, 4, -1, 0, 1, 1, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, 2, -1, 0, -1, -2, 0, 1, -1, 0, 0, 2, -1, 0, -1, 0, 0, -1, 2, 4, -1, 1, 2, 2, -1, 1, -1, -2, -1, 0, -1, 1, 0, 1, 1, 0, -2, 1, 0, -1, 0, -1, 4, 1, -1, 0, 2, 0, 1, 1, 0, 1, -1, 0, 0, -1, -2, 0, 0, 0, 0, 0, 1, 1, 1, 4, 0, 1, -1, 1, 0, 1, -1, 1, -2, 1, 0, -1, 0, 1, -2, 1, 0, 1, 2, 2, -1, 0, 4, 0, -1, -1, 0, -1, -1, 1, -1, -1, 0, 2, 0, 1, -1, -1, 0, -2, 2, 2, 0, 1, 0, 4, 0, 1, -2, -2, 0, 0, -1, 1, 0, 1, 0, 0, -1, 1, 0, 1, -1, -1, 2, -1, -1, 0, 4, 0, 1, 0, 0, 1, 1, -1, -1, 0, -1, -1, 1, -1, 1, 0, 0, 1, 0, 1, -1, 1, 0, 4, -1, 0, 0, 1, -1, 2, 1, -1, 0, 1, -2, 2, -1, 1, -1, -1, 1, 0, 0, -2, 1, -1, 4, 2, -1, 0, 1, -1, 0, 0, 0, -1, 1, -1, 0, -1, -2, -2, 1, 1, -1, -2, 0, 0, 2, 6, -2, 1, 1, -1, 2, -1, -1, 0, 1, -1, -2, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, -2, 4, -1, 0, 0, 0, -1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, -1, 4, 0, -1, 1, 1, -1, 0, -1, -1, -1, -1, -1, -1, -1, -2, -1, -1, 1, -1, 1, 1, 0, 0, 4, -1, 0, 1, 0, -2, 2, -1, 0, -1, 0, 1, 0, 1, -1, 1, -1, 2, -1, -1, 0, -1, -1, 4, -1, -1, 0, 1, -2, 2, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, 1, 0, -1, 4, 0, 0, 0, 0, 0, -2, 0, 2, 1, -1, -1, 2, 1, 0, -1, 0, -1, -1, 1, 1, -1, 0, 4, 0, -1, 0, -1, 0, -1, -1, 1, -2, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, 1, -1, 0, 1, 0, -2, 1, 0, -1, 0, 4, -1, 1, 0, 1, -1, -2, 0, -2, -1, -1, 1, -2, 1, 1, 1, -1, 2, -2, 0, 0, 0, -1, 4, -2, 0, 0, 0, 1, 0, 1, -1, 1, -1, 2, -1, -1, 0, -1, -1, 2, 0, -1, 0, 1, -2, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 4, 0, -1, -1, 0, 1, -2, 1, 0, 1, -1, 0, 1, -1, -1, 1, 0, -1, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, 1, -1, 0, 1, -1, 0, 1, 1, 2, 1, 1, 1, -2, -1, 2, -1, -1, 1, 4, 2, 1, 1, 1, -2, 1, 1, -1, 0, 0, 2, 1, 2, 2, -1, -2, -2, 2, -1, 1, 2, 2, 4, 1, 0, 2, -2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, -2, -1, 2, 0, 1, -1, 1, 1, 4, -1, 0, 0, 1, 1, -1, 0, 1, -1, 1, -1, -1, -1, 1, 1, -1, 0, 1, 2, 1, 0, -1, 4, -1, -1, 1, 0, -2, 0, 1, 2, 2, 2, 2, -1, -1, -1, 1, -2, -1, 1, 1, 2, 0, -1, 4, 0, -1, 0, 1, 1, 1, 0, 0, 0, 1, 2, -2, 0, 2, 0, 1, -1, -2, -2, 0, -1, 0, 4, -1, -1, 1, 0, 0, -1, 0, -1, -1, 0, 1, 1, -1, 0, -1, 0, 1, 0, 1, 1, -1, -1, 4, 2, 0, 0, 0, 1, 1, 1, 0, 0, -1, 0, 1, -1, 1, 1, 1, 1, 1, 0, 0, -1, 2, 4, -1, -1, 0, 0, 1, 0, -1, 1, -1, 1, 1, -1, 0, -1, -1, 0, -1, -2, 1, 1, 0, -1, 6, 2, -2, -1, -1, -1, 0, 1, -2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, -1, 2, 4, -1, 1, 1, 0, 1, 0, -2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, -2, -1, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, 0, -1, 2, 0, -1, 1, 0, -1, 1, 0, 4, 1, 2, 2, -1, -2, -2, 2, -1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, -1, 1, 1, 1, 4, 1, 1, -1, -1, 0, 1, -1, -1, 1, 2, 0, -1, 2, 0, -1, 1, 0, -1, 0, 0, 2, 1, 4, 2, -1, -2, -2, 1, -1, 0, 1, 2, 1, -1, 2, 1, -1, 0, -1, 0, 1, 0, 2, 1, 2, 4, 0, -2, -2, 2, -1, 1, 1, -1, 1, -1, -1, 2, 0, 0, 1, 1, 0, 0, -1, -1, -1, 0, 4, -1, 1, 1, 0, 1, -2, -2, -2, 1, -1, -2, 1, -1, -1, -2, -2, 0, -2, -1, -2, -2, -1, 6, 2, -4, 1, -1, -1, -2, -1, 1, -1, 0, 1, 0, 1, 0, 0, 0, -2, 0, -2, -2, 1, 2, 4, -2, 0, 0, 2, 2, 2, -1, 1, 2, -1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, -4, -2, 6, 0, 1, -1, -1, 0, 0, -2, 0, 0, -1, -1, 2, 0, 0, -1, -1, -1, -1, 0, 1, 0, 0, 4, 0, -1, 1, 1, 1, -1, 1, -1, 1, 0, 2, 1, -1, 0, -1, 0, 1, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, -1, 2, -1, 0, 0, -1, 2, 2, 1, 1, -1, -2, -1, 2, -1, 2, 2, -1, 0, 4, 0, 0, 0, 2, 1, -2, 0, -1, 1, 0, 1, -1, -1, 0, 2, -1, 2, 1, 1, 0, 0, 0, 4, -2, -2, -1, 0, 0, -2, 1, 0, 2, 0, -1, 1, 0, -1, -2, 0, 0, 2, 0, 0, 0, -2, 4, 2, 1, 1, 1, 1, 0, 0, -2, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 2, 4, -1, 0, 1, 1, -1, -1, -2, -1, 1, -1, 1, 1, 1, 0, -1, -2, 0, 2, 2, -1, 1, -1, 6, 2, -1, 2, 0, 2, 0, 0, -1, -1, 0, 0, 1, 0, 2, 1, -2, -1, 1, 0, 1, 0, 2, 4, -1, 0, 0, -1, -2, 0, -1, 1, 0, 1, -2, 0, -1, 1, 0, 0, -2, 0, 1, 1, -1, -1, 4, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 2, 0, 0, 4, 1, 1, 0, 0, 1, 0, 1, -1, 2, -1, 1, -2, 0, -1, -1, 1, 0, -1, 0, 0, 0, 1, 4, 0, 1, -1, 0, 1, 1, -1, 0, -1, 0, -1, 0, 2, 1, 0, 0, -1, 2, -1, 0, 1, 0, 4, 1, 1, 1, 0, 0, -1, 1, 0, 2, 1, -1, 2, 0, 2, -2, -2, 0, -2, 0, 0, 1, 1, 6, 1, 0, -1, -2, -1, 2, -1, 1, 1, 1, 1, 1, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, 4, 0, 1, -2, 1, -1, 1, 1, 2, 1, 1, -1, -1, 0, 1, -1, -1, 0, 1, 0, 1, 0, 0, 4, 0, 0, -1, 2, -2, 0, -1, 1, -1, -1, 1, -1, -1, -1, 1, 0, 0, 1, 0, -1, 1, 0, 4, 1, -1, -2, 0, 0, 1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, -2, -2, 0, 1, 4, -1, 0, 0, 0, -2, -1, -1, 2, -1, 0, 1, 0, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 4, -1, 2, -1, 0, 1, 2, -1, -2, 0, 1, 1, -2, 0, 2, 0, 1, 2, -1, 2, -2, 0, -1, 6, -2, 1, -2, 0, -1, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 1, -2, 0, 0, 2, -2, 4, 0, 1, 0, 2, 1, 0, 0, -1, 2, -1, 0, 1, 0, 2, 1, 1, 0, 0, 0, -1, 1, 0, 4, 2, -1, 2, 1, 2, 0, -2, 1, 1, 0, -2, -1, 1, 1, 2, -1, 1, -2, 0, -2, 1, 2, 6, -1, -1, 0, 0, -1, 0, -2, 0, 0, 0, 0, -1, 1, 1, 1, 0, -1, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 1, 2, -1, 1, -1, -1, 2, 1, 0, 0, 1, 1, -1, -1, 2, 1, -1, -2, 1, 4, 0, -2, 0, 1, -2, -1, -2, 0, 2, 0, -1, -1, 0, 1, -2, 0, 0, 0, 1, -1, 2, 0, 4, 0, 2, 1, 0, 2, 1, -1, 2, 2, -1, -1, 2, -1, 1, -2, 1, 2, 0, 0, -1, -2, 0, 4, 1, 0, 0, 0, 1, -1, 0, 1, 1, 1, 1, -2, 1, -1, -1, 1, 0, 1, 1, 0, 2, 1, 4, 1, -1, 0, 0, -1, 2, 1, 1, 1, 2, -2, 1, -1, 0, 1, 0, -1, 2, 1, 1, 0, 1, 4, 0, 1, -2, -1, 2, 1, -1, -1, 0, 0, 0, -1, 1, 1, -1, -2, -1, -2, 0, 0, -1, 0, 4, 2, 0, 1, -2, 0, -1, -1, -1, 0, 1, 0, 1, 0, -1, 1, 1, -1, 2, 0, 0, 1, 2, 4, 1, -1, 0, 1, -1, -1, 1, 0, 1, -1, 2, 1, 0, 0, -1, -2, 1, 1, 0, -2, 0, 1, 6, -1, -2, -1, 1, 1, 0, 0, 1, 1, -1, -1, 0, 2, -1, 0, -1, -1, -1, -1, 1, -1, -1, 4, -2, -1, 0, 0, -1, 0, 1, 1, 0, -1, -1, 1, 2, 2, 2, 0, 2, 2, -2, 0, -2, -2, 6, 1, -1, -1, 1, -1, 0, -1, 1, 1, 1, -2, 1, 0, 2, 1, 1, 1, 0, 1, -1, -1, 1, 4, -1, 0, 2, -1, 0, -2, 0, 2, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, 1, 0, -1, -1, 4, 2, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, 1, 0, -1, 0, 2, 4, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 2, 1, 2, 0, -1, 1, 0, -1, 1, 2, 0, 0, 4, -2, 0, -2, 1, 2, 0, 0, 1, 1, -1, -2, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, -2, 4, -1, 1, 0, -1, 0, 0, -1, -2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 1, -1, 0, -2, -1, -1, -1, 0, -1, 1, 1, -1, -2, 0, 1, -2, 1, 0, 4, 0, -2, 0, 0, 2, 0, 1, -1, 0, 1, 1, 2, -1, 0, 1, 0, -1, -1, 1, 0, 0, 0, 4, 0, -1, -1, 1, 0, 2, 1, 1, 1, 0, 1, -1, -1, 1, 2, -1, -1, 2, -1, 0, -2, 0, 4, 1, 0, -1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, 0, -2, -1, 0, 1, -1, -2, 1, 0, 2, 1, -2, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 2, -1, -1, 1, 2, 2, 0, 0, -1, 0, 0, -1, 0, -2, 0, -2, 1, 0, -2, 4, 2, -1, 0, 2, 0, 1, -2, -2, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, -2, 0, -2, 2, 4, -1, 0, 0, 1, 0, -2, -2, 0, -1, 1, 1, 0, 1, -1, 2, -1, 2, 0, 1, 0, -1, -1, 4, -2, -2, -1, -2, -1, 1, -1, 0, 2, -1, -1, -2, 0, 0, 1, 0, 2, 1, 2, 0, 0, -2, 6, -1, -1, 1, 3, 1, -1, -2, -2, -1, -1, 0, -2, -1, -2, -1, 0, -1, -1, 2, 0, -2, -1, 6, 2, 2, -2, -2, 2, 0, 0, 2, 0, 3, 0, 1, 2, -2, -4, 0, -1, 0, 1, -1, -1, 2, 4, 1, -2, -1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, -2, 1, 1, 1, 0, -2, 1, 2, 1, 4, 0, 0, 2, 0, -2, 2, -1, 1, 1, 0, 1, -2, -1, -1, 2, -2, -2, -1, 3, -2, -2, 0, 6, 2, -2, 0, -2, -2, 1, 0, -1, -2, -1, 0, 1, -2, 2, -2, -2, 1, 1, -2, -1, 0, 2, 4, -1, 1, -1, -1, 0, -1, 0, -2, -1, 0, 2, 0, 0, 1, 0, -1, -1, 2, 1, 2, -2, -1, 4, 0, 0, 1, 0, 1, 2, 0, 1, -1, -2, -1, 0, -1, -1, 0, -2, 0, 1, 0, 0, 1, 0, 4, -1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, 1, 2, -2, 0, 2, -2, -2, -1, 0, -1, 6, -1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, -1, -1, 2, 1, 2, -2, -1, 1, 1, -1, 4, 0, 1, 0, 2, 1, -2, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1, 1, 0, 0, 1, 0, 0, 4, 1, 0, -1, -1, 1, 0, 0, -1, 1, 1, -2, 0, 3, 1, 1, 0, -1, 1, 0, 0, 1, 1, 4, 0, 1, 0, 0, -2, 0, 0, -1, -1, 0, -2, 0, 1, 1, -1, 0, 2, 1, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, -2, 0, 2, 0, -1, 1, 1, 0, -2, -2, 0, 0, 1, 2, -1, 1, 0, 6, 1, 0, 1, 0, 0, 0, -1, 1, -2, 2, 1, 1, -1, -1, 1, 0, 1, 1, -1, 0, 1, 1, 4, -2, -1, 0, -2, 0, 2, 0, -1, -2, 1, -2, 0, 0, -1, 0, 2, -2, 1, 0, 0, 0, -2, 6, 1, 1, 1, -2, 0, 2, 0, -4, -2, -1, 1, 2, -2, 0, 0, 0, 0, -2, 0, 1, -1, 1, 6, 0, 0, 0, 1, 1, -1, 0, 1, -1, -2, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 1, -2, 0, -2, 0, -1, 1, -1, 1, -1, -1, 1, 2, -1, 1, 1, 1, 0, 0, 4, -1, -1, -1, -1, -2, -1, 0, -1, 0, -2, -1, 2, 1, -1, 0, 0, -1, 0, -1, 2, 1, -1, 4, 0, -1, -1, 2, 1, -1, -1, -1, 1, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 2, -1, 0, 4, 1, -1, 1, -2, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 2, 0, 1, -1, -1, 1, 4, -1, -1, -2, 1, 0, 0, 1, 2, 0, -2, 0, 2, 0, 0, 0, 1, 0, -2, -1, -1, -1, -1, 4, 0, 1, -1, 1, 0, 1, -1, 0, 1, 0, -2, 0, -1, 0, 0, 0, 0, -2, 2, 1, -1, 0, 4, 1, 0, 0, -1, 1, -1, -1, 1, 1, -1, 1, 0, -1, 1, -1, -2, -1, 1, -2, -2, 1, 1, 6, 1, 2, 1, 1, 0, 0, 0, -1, -1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1, 4, 1, 0, 0, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 1, 0, 2, 1, 4, 0, 0, 1, -1, -1, 0, 1, 0, 1, 0, 0, -1, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 4, -1, 1, 0, 0, 0, 1, -2, 0, 2, 0, 0, -1, -2, 1, 0, 1, 1, 1, 1, 0, 0, -1, 4, 0, 0, -1, 0, -1, 0, -1, -1, 1, 0, 1, -1, 0, 0, 2, -1, -1, 0, 1, 1, 1, 0, 4, -1, -1, 0, 2, -1, 2, 1, 0, 0, -1, 2, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 4, 0, -1, -1, 1, -2, -1, 0, 2, -1, 1, 0, 0, -2, 1, 1, 0, -1, -1, 0, -1, -1, 0, 4, -1, -2, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, -1, 4, 1, 0, 0, 0, 0, -1, 2, 0, -1, 1, 2, -2, -1, -1, 1, 1, 1, -1, 2, -1, -2, 1, 4, -1, 1, 1, 1, 0, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, -2, 0, -1, 1, 0, 0, -1, 4, 0, -2, 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 2, -2, 0, 0, 1, 0, 4, 0, -1, -1, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 2, -1, 1, -1, 0, 0, 1, -2, 0, 4, 1, 0, 1, -1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 1, 4, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 1, 0, -1, 2, -1, -1, -1, -2, -1, 1, 0, 0, 1, 1, -2, -1, 1, 1, 4, 0, 0, 1, 2, -1, -1, -1, 0, -1, -2, 0, 0, 1, -1, -1, 1, 1, 0, 0, 2, 2, 0, 4, -2, 0, 1, 1, 1, 1, 0, 0, 1, -2, -1, 0, -1, -1, 1, -1, -2, -1, 0, -2, 0, -2, 4, 1, -1, -1, -1, -2, 1, 1, 1, 2, 1, 0, -1, 1, -1, 1, 2, 1, 1, -1, 1, 0, 1, 4, -1, 1, 1, -1, 2, 1, -1, 0, -1, -1, -1, 1, -1, 0, 0, 1, 1, 1, 2, 1, -1, -1, 4, -1, -1, -1, -1, 0, 0, 0, 1, 1, -1, -1, 2, 0, 0, 0, 1, 0, -1, 1, -1, 1, -1, 4, 0, 0, 1, 0, 0, -1, 0, -2, -1, 0, -1, 0, -1, -1, 0, -1, -1, 1, -1, 1, -1, 0, 4, 1, 1, 1, 1, 0, -1, 0, 1, -1, 0, -2, 0, 0, -2, 2, -1, 1, -2, -1, -1, 0, 1, 4, 0, 0, -1, -2, -2, 1, 2, 0, 0, -1, -2, 0, -1, -1, 0, 0, 1, 2, -1, 1, 1, 0, 4, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, 1, 0, 0, 1, 0, 1, 4, 2, 0, -1, 0, 0, 1, -1, 0, 0, 2, 0, -1, -2, 1, 1, -1, 0, 0, 1, -1, 1, 2, 6, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, -2, 0, -2, 2, 0, 0, -1, 0, -2, 0, 0, 0, 4, 2, -1, 0, 0, 0, 0, 2, 0, 0, -1, 0, -1, 1, -1, 1, 0, -1, -2, 0, -1, 0, 2, 4, -1, 0, -1, 0, 1, 2, -1, 1, 1, 1, 0, 0, -1, 1, -2, 0, 1, -1, 0, 0, -1, -1, 4, 1, 0, 1, 0, 0, 1, 0, 0, -1, -1, -1, -1, -1, -1, 1, 2, 0, 0, -1, 0, 0, 1, 4, 0, 0, 0, 0, 1, -1, 0, -1, -1, 1, 1, -1, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 4, 0, 1, 0, 1, 0, 1, 1, 1, -1, -1, 2, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, -2, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 4, 0, 0, 2, -2, 0, -2, 2, 0, 0, -1, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 4, 1, 0, -1, 0, -1, 1, 1, 0, -1, 0, 0, 1, 2, 0, 0, -1, 1, 1, 1, 0, 0, 1, 4, 0, 1, 2, 0, 1, 1, 1, 0, -2, -1, 1, 0, -1, 0, 1, 0, -1, 0, 0, 2, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, 1, 1, -1, 2, -1, 2, 1, 1, 2, 2, 2, -2, -1, 1, 1, -1, 1, 2, 4, 0, 0, 1, 1, 0, -1, 1, -1, 1, 1, 1, 1, 2, 2, -2, -2, -1, 1, -1, 1, 2, 0, 6, 3, 0, -2, 2, -2, 0, 2, 0, -2, 2, 2, 3, 0, 1, -2, 0, -2, -2, -2, 1, 0, 3, 4, 1, -2, 0, -2, -1, 2, 1, 0, 2, 1, 2, -1, 1, -2, -1, 0, -2, -2, 0, 1, 0, 1, 4, -2, -1, -1, 1, 0, -1, 2, 1, -1, 0, 1, -1, 0, -1, 2, -1, -2, 1, 1, -2, -2, -2, 6, 1, 2, 0, -2, 0, 1, -1, 0, -2, 2, -2, 1, 1, 1, 1, 3, 1, 0, 2, 0, -1, 1, 4, 1, 0, 0, -1, -2, 1, 1, 0, 0, 1, 0, 1, -2, -1, -1, -1, -1, -2, -2, -1, 2, 1, 4, 0, -1, -2, 0, -2, 0, -2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, -1, 1, 0, 0, 0, 4, -2, 1, 2, 0, 0, 0, 2, -2, 0, 1, 2, 0, 1, -1, -1, 2, 2, 0, -2, 0, -1, -2, 4, -1, -2, 1, 1, 2, -2, 1, 0, 0, -2, -1, -1, 2, 1, 0, 1, -1, 0, -1, -2, 1, -1, 6, 2, 1, 0, 2, 1, -2, -2, -1, 2, -1, 2, 1, 1, -2, 0, 2, 1, -2, 0, 2, -2, 2, 6, -1, -1, -1, 2, -2, -1, -1, 4, 0, 1, 1, 1, 2, 2, 1, -1, 1, -2, 0, 1, 1, -1, 4, 0, 1, 0, -1, -1, -1, 0, -2, -1, 2, 1, 2, 1, -1, 0, 1, 0, 0, 1, 0, -1, 0, 4, 3, 0, 1, -1, 1, -1, 0, 1, 2, 2, 3, 2, 0, -2, 0, -2, 0, 2, 2, -1, 1, 3, 6, 0, 0, -2, 0, -1, -1, 1, 2, 2, 0, -1, 1, 2, 0, 0, 2, -2, 1, 2, 0, 0, 0, 4, -3, 0, 0, 2, 0, 1, -2, -2, 1, 1, -1, -2, 1, 1, -2, 1, -2, -2, -1, 1, 0, -3, 6, -1, 0, -2, 1, -2, -1, -2, -2, -2, 0, 1, 0, 1, 0, 0, -2, -1, -1, -1, -2, 0, -1, 6, 2, -1, 1, 1, 1, -1, 0, -1, -1, 1, 1, 1, 1, 0, -1, -1, -1, 1, 0, 0, 0, 2, 4, -1, 1, 1, 1, 1, -2, 0, 2, 1, -2, 0, 2, -2, 2, 4, 0, -1, -1, 2, -2, -1, -1, 6, 1, 1, -1, -1, -2, -2, -1, 1, -1, 2, 0, -1, -1, 0, -2, 0, -1, 0, 1, 1, 1, 1, 4, 1, 1, 1, -2, -2, -2, 3, -1, 1, 1, -1, 2, 1, -1, 1, 1, 1, -2, 1, 1, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 1, -1, -1, 2, 2, 1, 0, -2, 0, 0, -1, 0, 1, 1, 2, 1, 0, -2, 4, -2, 2, 2, -1, 2, 0, -2, -1, 0, 1, 2, -1, 1, 0, 0, 0, -2, -1, -1, -1, 2, -2, 4, -2, 0, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 2, 1, 1, -2, 2, -2, 4, 1, -1, 0, 1, -1, -2, -1, 1, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, -2, 2, 0, 1, 4, -2, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -2, 0, 0, 1, 1, -1, 0, -1, -2, 4, 1, 0, 0, 2, 2, 0, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 2, -1, 0, 1, 1, 4, 1, -2, 1, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, 0, 0, -1, 0, 0, 1, 1, 0, 1, 4, -1, -1, 0, -1, -1, 1, -1, 1, 1, -1, 0, -1, -1, 1, 2, -2, 1, -1, -1, 0, -2, -1, 4, 0, -1, -1, -1, 1, -1, -1, 0, 1, 0, 1, 1, 1, 2, -1, 1, -2, -1, 2, 1, -1, 0, 4, 1, 1, -1, -1, 1, -1, 0, 1, 1, 1, 2, -1, 1, 0, 1, -1, -1, 2, 0, 0, -1, 1, 4, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, -1, 0, 1, 0, 1, 1, 0, 0, -1, -1, 1, 0, 4, 1, -2, 2, 0, -1, 0, -1, 2, 1, -1, -2, 2, -1, 2, 1, -1, 0, -1, -1, -1, 0, 1, 4, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, 1, -1, 1, 1, -1, 1, -2, 0, 4, -2, 0, 1, -1, 1, -2, 0, 0, 0, 1, 0, 0, 1, -1, 1, -1, -1, 1, -1, 2, 0, -2, 4, -1, -1, 0, -1, 2, 0, 0, -1, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, -1, 4, -1, -2, 1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, -1, -1, 1, -1, -1, 4, 1, 1, -2, -1, 0, 1, 0, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0, 0, -1, 0, -2, 1, 4, -1, 0, 0, 1, 1, -2, 1, -2, -2, 1, -1, 0, 0, 1, 1, -1, -1, 1, -1, 1, 1, -1, 4, -1, 0, -1, 2, -1, 2, 0, 0, -1, -1, -1, 1, 1, -1, 2, 0, -2, 2, 0, -2, 0, -1, 6, 2, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 2, 0, 1, 0, 0, 0, 0, -1, 0, 0, 2, 4, -1, 0, -1, 1, 0, 1, -1, 0, 1, 1, -1, -1, -1, -1, 0, 0, -1, 0, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -2, 1, -1, 1, 0, -1, 0, 0, 2, -2, -1, 1, 1, 2, 2, -1, -2, -1, 2, 0, 4, 1, 0, 1, -1, 1, -1, 2, 1, -2, 2, 0, -1, 1, 1, 1, 1, -1, 0, 0, -2, 0, 1, 4, 1, 1, -1, 1, -2, -1, 1, 0, 2, 1, 0, -1, 1, 0, 2, 1, 1, -1, -2, -2, 0, 1, 4, -1, 0, -1, 0, 0, 0, 1, -1, 2, 1, -2, -1, -1, -1, 0, 2, 1, -1, 1, 1, 1, -1, 4, 1, 2, -2, 1, -1, -1, 2, -1, 1, -1, 1, 2, 1, -1, -1, -2, 1, -1, -1, -1, 0, 1, 4, -1, -1, 1, -2, 1, -2, 0, 1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 1, 1, -1, 2, -1, 4, 0, 1, 0, -2, 2, -1, -1, 1, 2, 1, 1, -1, -1, -2, 1, 0, -1, -2, 0, -2, -1, 0, 4, 0, 1, 0, -2, -1, 0, 2, 0, 0, -1, 0, -1, 1, 2, -1, 2, -1, 0, 1, 1, 1, 0, 4, 0, -2, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, -1, 0, 1, 1, 0, -1, -2, 0, 1, 0, 4, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, -2, 0, 1, -1, 1, -2, 0, -2, 0, 4, -2, 0, 1, -1, -2, 0, -1, 1, 0, 0, 0, 2, 2, 2, -1, 2, -2, 2, -2, 0, 1, -2, 6, -1, -1, 0, 1, 1, 2, -1, -1, -2, 0, -2, 0, 1, 2, -1, 0, -1, -1, 0, 0, 0, -1, 4, 1, -1, 0, -2, 0, 0, 2, 1, -2, -1, -1, 0, 1, 1, 1, -1, 0, 0, 0, 1, -1, 1, 4, -2, -1, 0, -1, 0, 0, 0, 1, 1, 1, -1, -2, -1, -1, 1, 2, 1, 1, -1, 0, -1, -2, 6, 2, 0, 1, -1, -1, 1, 0, 1, 1, 1, -1, 1, -1, 2, 0, 0, 0, -2, 1, 0, -1, 2, 4, 1, 2, -1, 0, 0, 1, 2, 1, 0, -1, 2, 0, 1, 0, 0, -1, 0, 1, -2, 0, 0, 1, 4, 1, -1, -2, -1, 2, 2, 1, 2, -1, 1, -1, 1, -1, -1, 0, -1, 2, 0, -1, 1, 2, 1, 4, 0, 0, 0, 0, -1, -1, 1, 0, -1, 1, -1, 0, -1, 1, 1, -1, 0, 0, -1, -1, -1, 0, 4, 0, 0, -1, -2, 0, 1, 2, -1, 0, -1, -1, 0, 0, 0, -1, 2, 0, -1, 0, -2, 0, 0, 4, 2, -2, -1, 0, -1, 1, -2, 0, -2, 1, 0, 0, 0, -2, 1, 0, 1, 0, -1, 0, 0, 2, 4, -1, 2, -2, -2, -1, 1, 0, 1, 2, -1, -1, 0, 0, -2, 1, 0, 1, 2, 0, -1, -2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, 1, 1, -1, 0, -1, -1, 1, 1, 1, -1, 0, 0, 1, -1, 0, 0, -2, 4, -2, 2, 1, -1, -1, -1, 0, -1, 0, 1, -2, -2, 0, -1, 0, -1, -1, 0, 0, -1, 2, -2, 4, -2, -1, 1, 0, 0, 0, 1, -1, 0, 2, 0, -1, 0, 0, 1, 0, -1, 0, -1, -2, 2, -2, 4, 1, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 1, -1, 1, 4, -2, -1, -1, -2, -1, 1, 1, 0, 0, 0, 1, 0, 0, -1, 1, 0, 1, -1, -1, 1, 0, -2, 4, 0, 1, 1, 1, 0, -1, 0, 1, -1, 1, 1, 1, 1, 0, -1, 0, 1, -1, 0, 0, -1, 0, 4, 1, 1, 1, 1, -1, 1, 1, 0, 0, 0, -1, 1, 1, 0, 0, 1, -1, 0, -1, -1, 1, 1, 4, 0, 1, -1, -1, 0, 0, 0, 0, -1, -1, 1, -1, 1, 0, -1, 0, 0, 0, -2, 1, 1, 0, 4, 0, 0, -1, -1, -1, 0, 0, 0, 1, -1, 0, 0, -1, 0, -1, 1, 0, -1, 1, 1, 1, 0, 4, 1, -1, 1, 1, 0, -1, 1, 0, 1, 1, -1, -1, -1, 0, -1, 1, 1, 0, 1, -1, 0, 1, 4, -1, 0, 1, 1, 1, 0, 1, 0, 2, -1, 0, -1, 1, 0, 1, 1, -1, -1, -1, -1, -1, -1, 4, 1, -1, -2, 0, -1, -1, -1, -1, 1, 1, 1, -2, 2, -1, 0, 0, 1, 0, -1, 1, 0, 1, 4, 1, -1, 1, -1, 0, 1, 0, 1, 1, 1, -2, 0, 0, 0, 1, 1, 0, -1, 1, 1, -1, 1, 4, 0, 0, 1, 1, 2, 1, -1, 2, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 1, -2, -1, 0, 4, 0, 0, 1, 1, 1, 0, -1, -1, -1, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, 1, 0, 0, 4, -1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 1, 0, -1, -1, 1, 0, -1, 4, 0, 0, 1, -2, 0, 0, -1, 1, 0, 0, 1, -1, -1, 1, 0, 1, -1, 0, 1, 1, 1, 0, 4, 0, 1, 0, 0, 1, -1, 0, -1, -1, 1, 1, 1, -1, 1, 0, -1, 1, 2, 1, 0, 0, 0, 4, 0, 0, 1, -1, 0, -1, 1, 1, 0, 1, -1, 0, 1, 2, -1, 0, 1, 1, 1, 1, 1, 0, 4, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, -1, 1, 1, -1, 0, 1, -2, 0, 0, 0, 4, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, -1, 0, 1, 1, 2, -1, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, -1, -1, 1, 2, 0, -1, 1, 1, 0, 0, -2, 1, -1, 1, 1, 1, 0, 0, 1, 4, -1, 0, -2, 0, 0, 1, -1, -2, 0, 2, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 4, 1, 0, -1, 1, 0, 2, 0, 1, 0, -1, -1, 1, 1, -1, 1, 1, -1, 1, -2, -2, 0, 1, 4, 1, 1, -1, -1, -1, -1, -1, 0, 0, 1, 1, 1, -1, 0, -1, 0, 0, 1, -1, -2, 0, 1, 4, 1, -1, -2, -1, 2, 0, -2, 1, 1, 1, 0, 1, 1, 0, -1, -2, 0, -1, 0, -1, 1, 1, 4, -2, -1, -2, 0, -1, 0, -1, 1, -1, 1, 0, -1, -1, -1, -2, 1, 1, 0, 1, -1, -1, -2, 4, 0, 1, 1, 1, 0, 1, -1, 0, 0, 0, 1, 1, 1, 1, -1, 2, 1, 0, -1, -2, -1, 0, 4, 0, -1, 1, 1, 0, 0, -1, 1, -2, -1, 1, 1, 0, -1, 0, -1, 2, -1, -1, -2, 1, 0, 4, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, -2, 0, -1, 2, 0, 1, -1, 0, 6, 2, -2, 1, -1, 0, -1, 0, 1, 2, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 1, 1, 2, 4, -1, 0, -2, 0, 0, -1, 1, 1, -1, 1, -1, 1, 2, 0, 0, -2, 0, 0, 1, 0, -2, -1, 4, -2, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1, 0, 0, 1, 0, -2, 4, 1, 1, -1, 1, 0, 0, 2, 0, 1, 0, -1, -1, 1, 1, 1, -1, 0, -1, -1, -2, -1, 1, 4, -1, 1, 0, -1, -1, 1, -1, 1, -2, 0, 1, 1, 1, -1, 0, -1, 0, 0, 0, -1, 1, -1, 4, -2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, -1, 0, 1, -1, 1, -2, 4, -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 1, 0, 0, -2, 0, 0, -1, -1, 1, 0, 1, -1, 4, 0, -1, 0, 0, 1, 1, 0, 1, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 4, 1, 0, 2, 0, 1, 0, 1, -1, 0, -1, 1, 1, 1, 2, 1, 0, 0, -1, 0, 0, -1, 1, 4, 0, 0, -1, 1, 1, -1, 0, -1, -1, 1, 1, 0, -1, -1, 0, 2, 1, 0, 0, 0, 0, 0, 4, 1, 1, 0, 1, 1, 0, -2, -2, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, 2, 0, 1, 6, 0, 0, 1, -2, 1, 0, 1, -1, -1, -1, -1, -1, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -1, -1, 0, -2, 1, 1, -2, -1, 0, 1, 1, -1, 1, -2, -1, 1, 1, -1, -1, 0, 4, 1, -1, -1, 1, 0, 2, -1, 0, -1, 1, 0, 1, 0, -1, 1, -1, 1, 1, 0, 1, 0, 1, 4, -2, -2, 0, 0, 0, -2, 1, 1, 0, -1, 1, 0, 0, 1, -2, 2, -1, -1, 2, -1, -1, -2, 4, 1, 0, 1, 0, 1, -1, 0, 0, -1, -1, -1, -1, 0, 2, 0, -1, 2, -1, -1, -1, -2, 1, 6, 2, 0, 1, 0, 1, -2, 2, -1, -1, 2, -1, -1, 1, -1, 1, 1, -1, 0, 1, 0, 0, 2, 4, -1, 1, -1, 0, -1, 2, -1, -1, 0, 0, 1, 0, 1, 1, -1, 1, -2, 0, 0, 1, 0, -1, 4, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, -1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 4, -1, 0, -2, 1, 0, 1, 1, 0, 0, -1, 1, 1, 1, -1, 1, -1, -2, 1, 0, -1, 0, -1, 4, -2, -1, 0, 0, -1, -1, 1, -1, 2, -1, 0, 1, -1, -2, 0, 1, -1, 1, 0, 1, 0, -2, 4, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, -1, 1, -1, -1, 1, 0, -2, -1, 1, -2, -1, 1, 4, -2, 1, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, -2, 4, -2, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, -2, 4, 1, 1, 0, 0, 0, -1, 2, 0, 0, 1, 1, 1, -1, -1, -1, 1, 1, -1, 0, 0, -1, 1, 4, 0, 0, 0, -2, 0, 1, 0, 0, -1, 0, 0, -1, 2, 0, 1, 1, -1, 1, 0, 0, 1, 0, 4, -1, 0, -1, 0, 1, 0, 0, 1, -1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 4, 1, 0, -1, 0, -1, 0, -2, 1, 1, 0, -1, 1, 2, 0, -1, 1, 1, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, 2, -1, -1, -2, 2, 1, 0, 0, -1, 2, 0, 0, 0, 0, -2, -1, 0, 0, 4, -1, 0, 2, 0, 1, 1, 2, 0, -1, 1, -1, 1, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 4, -1, 0, 1, 1, 1, -1, -1, 1, 1, 0, 1, 0, 0, -1, 0, 2, 1, 1, 0, 0, 0, -1, 4, 0, 0, -1, 0, -1, 2, 1, -1, 0, 1, 1, -1, -1, -1, 0, 0, 0, -1, 0, 2, 0, 0, 6, -1, -1, 1, 2, -1, -1, 1, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -1, 1, -2, -1, 2, 0, 1, 1, -1, 1, -1, -2, -1, 1, 0, -1, 1, -2, 1, 4, -1, 2, 0, 2, 0, 1, -1, 0, -1, 2, 0, -1, -2, -1, -1, 1, 1, -1, 0, 1, 2, -1, 4, -1, -1, 0, -2, -2, 1, -1, 1, 0, -1, 2, 0, -1, -1, 1, -1, -1, 1, -1, 1, 2, -1, 4, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, 1, 0, -1, 0, -1, -1, 0, -1, 0, 4, 1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 2, -1, -1, 1, 1, -1, 1, 2, 0, 1, 1, 4, -1, 0, 1, 1, 0, 2, 0, 0, 0, -2, -1, 0, -1, 0, 0, 1, -2, 0, -2, 1, 0, -1, 4, 0, -2, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1, -2, 0, 0, 0, 0, 4, 0, 0, -1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 2, 2, -1, 1, 1, 1, 1, -2, 0, 6, 0, 0, 0, 0, 0, 1, 0, 1, -1, -2, 1, 0, -3, 0, 0, -1, 0, 0, 1, 1, 0, 0, 4, -1, 0, 1, 0, 1, -1, 1, 0, 0, 0, -1, 1, 1, -1, 1, 0, -1, 0, -1, -1, 0, -1, 4, -1, 0, 1, 0, -1, -1, 1, 1, -1, 0, -1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, -1, 4, -2, 1, -1, -1, -1, 1, -1, -1, 1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, -2, 4, -2, 1, 1, 0, -1, 1, 1, -2, 1, 1, -1, 2, 0, 0, 0, 0, -1, 0, 0, 1, 1, -2, 4, 0, -1, -1, 2, -1, -2, 2, -1, -1, -2, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, 1, 0, 4, 1, 0, -2, -1, 1, -1, 0, -2, -1, -1, 0, 0, -2, 1, 0, 0, -1, -1, -1, 1, -1, 1, 4, 1, -1, 0, 1, -1, 0, -1, -1, -1, -1, 2, -1, 0, 1, 1, 1, -1, -1, 0, -1, 0, 1, 4, -1, 0, 1, 0, 0, 1, 1, 1, 1, -1, 0, 0, 0, -1, 0, 1, 1, -1, 2, -2, -1, -1, 4, 1, -2, 1, 0, 0, 1, -1, 0, -1, -1, 0, 0, -2, 0, 1, -1, 1, -1, -1, 0, 0, 1, 4, -1, -1, 0, -1, -1, -1, -1, 1, 0, 0, 0, 1, 0, -1, -1, 1, -2, 1, 1, 1, -2, -1, 4, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 1, -2, 2, -1, -1, 0, 1, -1, 0, 4, -1, -2, 1, -1, -1, -1, 1, 1, 2, -3, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, -1, 1, -1, -1, -1, 1, 0, 1, -2, -1, 0, -2, -1, 2, 1, -2, -2, 0, 4, -1, 0, 0, 2, 0, 1, 1, -2, 0, 1, -1, 1, -2, -1, 1, 1, 1, -1, 2, -1, 1, -1, 4, -1, 1, 0, -1, -1, 1, 1, 2, 1, 2, -2, 1, 1, -2, -2, -1, 2, -2, 1, 0, 0, -1, 4, -2, 0, 2, 2, -1, -1, 1, 1, -1, 0, -2, -2, -1, 1, 0, -1, 0, 1, 0, 0, 1, -2, 4, 1, 0, -1, 1, 1, 0, 0, 1, 1, 0, 1, 1, -1, -1, 1, -1, 1, -1, 2, 0, 0, 1, 4, 1, 0, 2, -1, 1, 0, -1, 2, 0, 0, 2, 1, 0, -1, 2, 0, 1, 0, -1, 2, 0, 1, 4, 0, -1, -1, 0, 0, -1, 0, -1, -1, 0, 1, 1, -1, 0, -1, -1, 1, -1, 2, -1, 0, 0, 4, -1, -1, 0, 0, -1, 0, -1, -2, 0, 1, -1, -1, 0, 1, -1, 1, 1, -1, 1, 2, -1, -1, 4, 1, 1, 1, 1, 2, 1, 1, 0, -1, -1, 1, 2, 0, -1, -2, 1, -1, 1, -1, -1, -1, 1, 4, -1, 1, 2, 0, 2, 2, 0, -2, -2, 2, -1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, -1, 4, 1, 1, -1, -1, -1, -1, -1, 0, 1, -1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 1, -1, -2, 0, -1, -1, -1, 1, 0, 1, 1, -1, 2, -1, 1, -1, -1, -1, 1, 2, 1, 1, 4, -1, 0, 1, -1, -2, -1, 2, -2, 1, -2, 1, -2, 0, 1, 2, 0, 0, 2, 0, -1, -1, -1, 6, 0, 1, 1, 2, 0, -1, 2, 0, -1, -2, 1, -2, 0, 0, -1, -1, 1, 2, -1, -2, 0, 0, 6, 1, 1, -1, -1, 1, 1, 0, 0, -1, 1, -2, 1, 0, -1, -2, 1, 2, -1, 0, 1, 1, 1, 4, -1, -1, 0, 1, -1, 0, -2, 1, -2, -1, 1, 2, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, 6, 1, 0, -1, 2, 1, -1, 1, -2, 1, -1, 1, 1, 1, -1, -2, -1, -1, -2, 2, -1, -1, 1, 4, 1, -2, 2, -1, 2, 1, -1, 0, -1, 0, 1, -1, -1, -2, 0, -1, -1, 0, -1, 0, 0, 1, 4, -1, 0, -2, 1, -1, 2, -1, 1, -1, -1, -1, 1, 2, 1, 1, 2, -1, 1, 1, -1, -2, -1, 4, -1, 1, -2, 2, -2, 0, -1, 2, 0, 0, 2, -1, -1, 0, -2, 2, 1, -1, 2, 2, 0, -1, 6, -2, -2, -1, 1, 1, 1, 0, -1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, -1, -2, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 1, -1, 0, 1, -1, 0, -1, -2, -1, -1, 2, 1, -1, -2, 2, 1, -2, -1, -1, 2, 4, 0, 1, 1, -1, -1, -1, -1, 0, -2, 0, -1, 1, 0, 0, -2, 0, 1, -1, 0, 0, 1, 0, 4, 2, 0, 1, 2, 0, -1, 0, 0, 1, -1, 0, 2, -2, -2, 2, -1, -2, -2, 1, 1, 1, 2, 4, 1, 1, 1, 1, -2, 1, -1, 0, 0, -1, 0, -1, -1, 1, 1, -2, 0, 1, -1, 1, 0, 1, 4, -1, -1, -1, -2, 2, 0, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 2, 0, -1, 1, 1, -1, 4, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, -1, 1, -1, 1, 0, -1, 1, -1, 2, 1, -1, 0, 4, 1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 1, 0, -2, -1, 0, -1, -1, 0, 1, -1, 1, 1, 4, 0, 0, 1, -1, 1, -1, 0, 1, 2, 0, -1, 1, 0, -1, 0, -1, -1, -2, -2, 0, 0, 0, 4, -1, 0, -1, 0, 1, 1, 0, 2, 1, 0, 2, -1, -1, -1, 0, 0, 1, 2, 1, -1, 0, -1, 4, 0, 1, 0, -1, -1, -1, -1, 0, 0, 1, 1, 1, -2, -2, 0, -1, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, -1, 0, 1, 0, -2, 2, 0, 0, -1, 0, 1, 0, 1, -1, 0, -1, -1, 1, 0, 4, 1, 0, 1, 0, 0, -1, -1, 0, -1, 1, -1, -1, -1, 0, -1, 0, 1, 1, 0, 0, 0, 1, 4, -1, -1, 2, 1, -1, 0, 1, 1, 0, 2, 1, 0, -1, -1, 0, 0, -1, 1, -1, 0, 0, -1, 4, 1, -1, -1, 1, -1, 0, -1, -2, 1, 0, 2, 0, -1, 0, 1, 0, 1, -1, -1, 1, -1, 1, 4, -1, 0, 1, -1, -1, -2, 0, -1, 0, -2, -1, -1, -1, 0, 1, 0, -1, 0, 0, 2, -1, -1, 4, 2, -2, 0, 1, 1, 0, -2, -2, -2, -1, -1, -1, -1, 2, 2, -1, 1, 0, 1, -1, 0, 2, 6, -1, 0, 2, 0, 0, 2, 0, 2, 1, -1, 1, 1, 0, 1, 0, 0, -1, -1, 1, 1, -2, -1, 4, 0, 0, -1, 0, 1, 1, -1, 1, 1, -1, 0, -1, 0, 0, -2, -1, 0, -1, -1, 0, 0, 0, 4, -2, 1, 1, -2, -1, -2, -2, -1, 1, -2, 1, 2, 1, 2, 0, 1, 0, -1, 1, 2, 0, -2, 6, 1, -1, -1, 0, -2, 0, 1, 0, -1, 0, -1, 1, 0, -1, 1, -1, -2, 1, 0, -1, 1, 1, 4, 0, -1, 0, 1, 1, 2, -1, 0, -1, -1, 1, 0, 1, 0, -2, 0, 0, 0, 0, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 0, 1, -1, 1, 1, 2, -2, -1, 0, -1, 0, -1, 2, 2, -1, 2, 0, 0, -2, 4, 0, 1, 0, 0, 1, -1, -1, 0, 1, 0, 0, 1, 0, 0, -1, -2, 0, 0, 1, 1, -2, 0, 4, -1, 1, -1, 1, -1, 0, -2, 2, 1, 1, 0, -1, 1, 0, 0, 0, -2, -1, 1, 0, 1, -1, 4, 1, -1, 1, 1, -2, 1, -1, -2, 0, 2, 0, 1, 1, -1, -1, 1, 0, 1, 0, 0, 1, 1, 4, 1, 1, -1, -1, 1, -1, 0, 2, 1, -2, 2, 2, -1, -1, 1, 0, 1, 1, 0, -1, -1, 1, 4, 0, -1, 1, 1, -2, 0, 1, -1, -1, -1, 1, 0, 1, 1, 0, 0, -1, 1, 1, 1, 1, 0, 4, 1, -2, -1, -1, 0, 1, 1, -1, 1, 1, 0, 1, -1, 1, 2, 1, -1, -1, 1, -1, -1, 1, 4, 0, 0, -1, 0, -1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, -2, -1, 1, -2, 0, 4, 0, 1, 1, -1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 2, 0, -2, 1, 1, 1, -1, 0, 0, 4, -2, -1, 1, 1, 0, 0, 1, 0, -1, 2, 0, 0, -2, 1, 2, -1, -1, -2, -1, -1, 1, -2, 6, 0, -2, -1, 2, -1, -1, 0, -1, -2, -1, 0, -1, 0, 1, -2, 0, 0, 0, 0, 1, -1, 0, 4, 0, 0, -1, 1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 2, 1, 1, -1, -1, 1, -2, 0, 4, 0, -1, 1, 1, -1, 1, 1, 0, 1, -1, 1, 0, 2, 1, -1, 1, 1, -1, 1, -1, 0, 0, 4, -1, 2, 0, -1, -1, 0, 1, 1, 0, 0, -1, 0, -2, -1, -1, 1, 1, 0, 2, -1, -1, -1, 4, -2, -1, 0, 1, 0, -1, 0, -1, 0, 1, 1, 2, -1, 1, 0, -1, 0, -1, 1, 1, 2, -2, 4, 1, -1, -1, 0, 1, 1, 2, -1, 0, 1, 2, 1, 1, 1, 0, 1, -1, -1, 1, 0, -1, 1, 4, 1, -1, 1, 0, 2, 2, -2, 0, -1, -1, 0, 0, 1, 1, 0, 0, -1, -1, -1, 0, -1, 1, 4, 0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, -1, -1, 0, 4, -1, 0, 0, 2, 0, -2, 1, 1, 1, -1, 0, 0, 2, -2, -1, 1, 0, 0, 0, 1, 0, -1, 4, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 4, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, 0, -1, 1, 1, 1, -2, -1, 0, 2, -1, 0, 0, 1, 2, -1, 0, -1, 0, -2, 4, 1, -1, 0, 0, 0, -1, -1, 1, 1, 0, -1, 1, 0, 0, 0, -1, 0, 0, 1, -1, 0, 1, 4, -2, 0, -1, 2, 1, 1, 1, 0, 0, -1, -1, 0, 0, -1, 1, 1, 0, -1, 1, -1, -1, -2, 6, 2, 3, -1, 0, -2, 0, 0, 2, 2, 2, -2, -2, 0, 0, -1, 2, 0, 0, 0, 0, 0, 2, 4, 2, -1, -1, -1, -1, -1, 2, 2, 0, -1, -1, 0, 0, 0, 2, 0, -1, -1, 0, -1, 3, 2, 4, -2, -1, -1, 0, -1, 2, 2, 1, -1, -2, -1, 0, 0, 2, 1, -1, 1, 0, 2, -1, -1, -2, 4, 1, 0, 1, 0, -1, 0, 0, -1, 1, 1, 1, -1, -1, -1, 2, 1, -1, 1, 0, -1, -1, 1, 4, 0, 0, 1, 0, -1, -1, 1, 1, 1, 1, 0, 0, -2, 2, 1, -1, 1, -2, -1, -1, 0, 0, 4, 0, 0, 0, 0, -2, 0, 1, -2, 0, 2, 0, -1, 0, -2, 1, 1, 0, -1, 0, 1, 0, 0, 4, 0, -1, -2, 0, -1, 1, -1, 0, 0, -1, 0, 1, -1, 1, 0, 0, -1, -1, 0, 1, 0, 0, 4, -1, -1, 0, 0, 1, 1, 0, 1, -1, -1, 1, 0, 0, 0, 2, 2, 2, -1, 0, 0, -1, -1, 4, 2, 1, 0, -1, -1, 0, 0, 2, 0, -1, 2, -1, -1, 2, 2, 2, 0, -1, 0, -2, -1, 2, 6, 0, -1, -2, 1, 0, 0, 2, 1, -1, -1, 1, -1, 2, 0, 1, 0, -1, -2, 0, 0, 1, 0, 4, -1, -1, 0, 0, -2, 0, 1, 0, 0, 0, 0, -2, -1, -1, -1, 1, 0, -1, 0, 0, -1, -1, 4, 1, 0, -1, 1, 0, 1, -1, 0, 0, 0, -2, -1, -2, 1, 1, 1, 1, 1, -1, -2, -1, 1, 4, 0, 0, 0, -1, -1, 1, 1, 0, -1, 0, 0, -1, 1, 1, -2, -1, 1, -1, 1, 0, 0, 0, 4, 0, -1, -1, 0, 1, 2, -1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, -1, 0, -1, 1, -1, 0, 1, -1, 0, 0, -1, 0, 2, 0, 1, 0, 0, -2, 1, 0, -1, -1, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, 0, 0, -1, -1, 2, 2, 0, 0, -1, -1, 0, 0, 4, 1, -1, -1, 1, -1, 0, 0, 1, -1, -2, -1, 0, -1, 0, 1, 1, 1, -1, 0, -1, 0, 1, 4, -2, 0, -1, 1, 0, -1, -1, 2, 2, 0, 1, 1, -1, -1, 0, -1, 1, 1, 1, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 1, 0, 0, 2, -1, -1, -2, 1, 1, 1, 2, -1, -1, -1, 2, -1, 2, 1, 1, -1, 10, 5, 3, -2, 4, -2, 1, 5, 2, 0, 1, 3, -2, -3, -2, 3, 0, -3, -2, 3, 3, -1, 5, 8, -1, -3, 2, -1, 0, 5, 3, -1, -1, 1, -1, 1, -1, 2, 0, 0, -1, -1, 4, 1, 3, -1, 6, -1, 0, -1, 1, 0, 0, -1, 2, 1, -1, -1, 0, 1, -1, -2, -1, 1, 1, 0, -2, -3, -1, 4, -1, 0, -1, -2, -2, 1, -1, 0, 0, -1, 1, -1, 0, -1, 0, 1, -3, 0, 4, 2, 0, -1, 4, -1, 1, 2, 0, 1, 1, 2, 0, -1, -1, 1, 1, -1, 0, 1, 2, 2, -2, -1, -1, 0, -1, 4, 0, 0, -1, 0, 0, -1, 2, 0, -1, -2, 2, 1, 2, 0, 0, -1, 1, 0, 1, -1, 1, 0, 4, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 0, -1, 0, -1, 5, 5, 0, -2, 2, 0, 1, 6, 2, 0, 0, 0, -1, -1, -2, 1, 1, 0, -1, 1, 2, -2, 2, 3, 0, -2, 0, -1, 0, 2, 4, -2, -1, 0, -2, 1, -1, 2, -1, 1, -2, -1, 2, 1, 0, -1, -1, 1, 1, 0, 0, 0, -2, 4, 1, 1, 1, -1, 0, 0, 1, -1, 1, 1, -1, 1, 1, -1, 2, -1, 1, 0, 0, 0, -1, 1, 4, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 3, 1, 1, 0, 2, -1, 0, 0, 0, 1, 1, 4, 0, -1, 0, 1, 0, -2, 0, 1, 1, 2, -2, -1, -1, 0, 0, 2, 0, -1, -2, 1, 0, 0, 4, -1, 0, -2, 2, 0, 2, 0, 0, -1, -3, 1, -1, -1, -1, 0, 1, -1, 1, -1, 0, -1, -1, 6, 2, 0, -2, 2, 0, -4, 1, -1, -2, -1, 0, 1, -1, -1, 1, -2, -1, 0, 0, 0, 0, 2, 4, 0, -2, 0, 0, -2, -1, -1, 3, 2, 1, -1, 1, -2, -1, 1, 2, 0, 1, 1, -2, 0, 0, 4, -1, -1, -2, 0, 2, 2, 0, 0, -1, 0, 1, 2, -1, 1, -1, 1, 0, 0, 2, -2, -2, -1, 4, 0, 2, 2, 1, -1, -3, 0, -2, -1, -1, 1, 1, 0, 1, -1, -1, -2, 0, 2, 0, -1, 0, 4, 0, -2, 0, 2, -2, -1, -1, 0, 0, 2, 0, -1, -2, 1, 0, 0, 2, 0, 0, -2, 2, 0, 4, 1, 0, 1, 3, -1, 1, 1, 1, 0, -1, 1, -1, 1, 0, 1, 0, -4, -2, 0, 2, -2, 1, 6, -1, 1, 3, 4, 1, -3, 2, 0, 0, 2, 2, -1, 0, 1, 0, 1, -1, 2, 1, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, 1, 1, 1, 2, 1, -1, -1, -2, 1, 1, 0, -2, -1, 0, 1, -1, -1, 1, 4, 0, 1, 0, 2, -1, 1, -1, 2, 0, -1, 0, 2, 0, 1, -2, 1, -1, 2, 0, -2, -1, 0, 4, -2, -2, 0, -1, 1, -2, 1, 1, -1, 1, 0, -1, 1, 2, 2, 1, 0, 1, 2, 1, 1, -2, 6, -1, 0, -1, -2, 3, 2, 0, 1, -2, 0, 2, -2, 0, -1, -3, 0, -2, 0, 2, 0, -2, -1, 6, -1, 1, 2, 0, 0, -2, 1, -1, 0, 0, 0, -3, 0, 0, 0, 0, -2, 1, 2, 0, 0, -1, 4, 1, 0, 0, 1, 0, -1, 0, 2, 0, 0, -2, 0, 1, 2, 0, 0, 1, -1, -1, -1, 1, 1, 4, 1, 2, -1, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, -1, -1, 1, 1, 1, -2, 2, 0, 1, 4, -1, 1, -1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, -2, 2, -1, -2, 3, 0, 0, 2, -1, 6, -1, -1, 1, -1, -1, 1, -2, 0, -3, -1, -1, -1, -1, 1, 2, 1, 2, 0, 1, -1, 1, -1, 6, -1, -1, 0, 2, 1, -1, 0, 1, 0, 2, -1, 1, -1, 0, 1, 0, -2, 0, 0, -1, -1, -1, 4, 0, 0, 0, 1, 1, 2, 1, -1, 0, -1, 1, -1, -1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 4, 1, -2, 1, 0, 1, -1, -1, -2, -1, -1, -2, 0, 1, -2, -1, 0, 0, 1, -1, 0, 0, 1, 4, 0, -1, 1, 1, 0, 1, 0, 1, -1, 1, 2, 0, 0, 0, 2, 0, 0, -1, 2, 0, -2, 0, 4, -1, 0, -2, 1, 0, 2, 0, 0, 1, 0, -1, 2, 0, 0, 1, 0, 1, 1, 1, 1, -1, -1, 4, 0, 1, -1, -1, 0, -2, 0, 0, 1, 1, -2, 0, 0, 0, 2, -2, -1, 1, 0, 1, 0, 0, 4, 1, 1, 0, 0, 0, -1, -2, -2, 2, 0, -3, -2, 0, 0, 0, 0, 2, 1, 1, -2, 1, 1, 6, 0, 0, -2, -1, 2, -1, 1, 2, -1, 0, 0, -1, 1, -3, 1, 1, -1, 0, 1, -1, 1, 0, 4, 0, 1, 1, 1, 0, -1, 1, -3, 0, 1, 1, 1, -1, 0, -1, -1, 1, 0, -1, 0, 0, 0, 4, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, -1, 2, 0, -2, 0, 2, 0, 0, -2, 1, 0, 4, 1, 0, -1, 0, 1, -2, 0, 0, -1, 0, -1, -1, -1, -1, 1, 0, -2, 0, -1, 1, 1, 1, 4, 0, -1, -2, 2, 0, -2, 0, -1, -2, -1, 1, 1, -1, -1, 0, 0, -1, 2, 1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, -1, 1, 0, 0, 2, 0, 1, -1, 2, -1, -2, 1, -2, -1, 1, 1, 0, -1, 1, 4, 0, -1, 0, 1, -1, 0, 1, 1, 2, 0, 2, 0, -2, 1, 0, -2, 0, 2, 1, 1, -1, 0, 4, 2, 0, -1, -1, 0, -1, 1, 1, -1, 0, -1, 0, 1, 1, -1, 1, 1, 1, -1, -2, -1, 2, 4, 1, -2, -1, 1, -1, 1, 0, 0, -2, 0, 2, -1, 2, 0, -1, 0, 0, 0, -1, 0, 0, 1, 4, -1, 1, 2, -2, -1, 0, -1, 1, -1, -1, -1, 2, 0, -1, 0, -1, 0, 1, 1, -1, -2, -1, 4, 0, -2, 1, 0, 1, -1, 2, -1, -2, 0, 0, -1, 0, 1, -1, -1, 0, -1, -1, -1, 1, 0, 4, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, -2, 0, 4, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1, 1, 2, 1, -1, -1, -2, 1, 0, 0, 4, 1, 1, 1, 1, 1, -1, 0, -2, -1, 1, 1, 0, 1, 0, 1, 1, 1, -1, 0, -1, -1, 1, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 4, -1, 2, 0, -1, 1, 0, -2, 0, 2, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, -1, 4, -2, 2, 1, 0, -1, 0, -1, -1, 1, 2, 2, 2, 0, -2, 1, 2, 0, 1, 1, 0, 2, -2, 6, -2, -3, 0, 0, -2, 2, 2, -1, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 2, -2, 4, 1, 0, -1, 1, -1, -1, 1, 2, -2, -2, 0, 2, -1, -2, 0, -1, -1, 0, -1, 1, -3, 1, 6, -1, 0, 1, 0, -1, 0, 1, 1, 1, 1, -1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, -1, 4, 0, -1, 0, 1, 2, 0, -2, 0, 1, 2, 2, 0, 0, 0, -2, 1, 0, -1, 0, -1, 0, 0, 4, 0, -1, 0, 0, 0, -1, -2, -1, 0, 0, -1, 0, 0, -1, 0, -2, 0, -2, 1, 1, -1, 0, 4, 0, -2, 0, 0, 1, 0, 1, -1, -1, 0, 0, 0, 1, 1, 0, -1, 2, -1, 0, 0, -1, 0, 4, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, -1, 2, -1, -1, 1, 0, -2, 0, 4, 1, 0, 0, 1, 1, 0, -1, -1, 0, -1, 0, 1, 0, 1, -1, 1, 0, 2, 0, 0, 0, 1, 4, 0, -1, 1, -1, 0, 0, -1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -2, -1, -2, 1, 0, 0, -1, 0, 0, -1, 2, -1, 1, -1, 0, -1, 0, -2, 4, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, -1, -1, 1, -1, -1, -1, 1, 0, 1, -1, 0, 1, 4, 0, -1, -1, -2, 0, -1, -1, 0, 1, -1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 4, 2, 2, -1, 1, 1, 0, 2, 1, -1, 0, 0, 0, -1, 0, -2, -2, 0, -1, 1, 1, -1, 2, 6, 0, 0, -2, 2, 1, 0, -1, 0, -2, -1, -1, -1, 0, 0, -2, 0, -1, -2, 2, -1, 2, 0, 6, 1, 2, 0, 1, 1, 0, -2, 0, 2, -1, -2, -1, -1, -1, 1, -2, -1, 0, -2, -1, 0, 1, 4, 1, 1, 1, -1, -1, 1, 1, 0, -2, 1, -1, 1, 0, 1, -1, -2, 0, 0, 1, -2, 2, 1, 4, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 0, 1, 0, -1, 1, 2, 0, 1, -1, 4, 0, 0, 0, 1, 1, 0, 0, 0, -1, 0, -1, 1, -2, 0, 1, -1, 0, 1, 1, 1, -1, 0, 4, 0, -1, 0, 0, 0, 0, -2, 1, 1, 0, -1, 0, 0, 0, 0, 2, 0, 1, -1, 0, 0, 0, 4, 0, 0, 1, 1, 1, -1, 0, -1, 0, 0, -1, -1, 0, 1, 1, -1, 0, -1, 1, 0, -1, 0, 4, 0, 0, -1, -1, 1, 1, -1, -1, 0, 1, 0, -1, -1, -1, 0, -2, 1, -1, 1, 0, 0, 0, 4, 0, 0, -1, 2, -1, 2, 1, 1, 0, 0, -1, 0, 0, -2, 0, 1, 1, 1, 0, 1, 0, 0, 4, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, -1, 0, -1, 2, 0, 1, 0, 0, 1, -1, 0, 0, 4, 1, -1, -2, 1, 1, 2, -2, 2, -1, 1, 0, -1, -1, -2, -1, 0, 0, 1, -1, -1, 1, 1, 4, -2, 1, -1, 1, -1, 0, -1, -1, 0, -1, -1, -2, 1, 1, 0, -2, -1, 1, 2, 0, -1, -2, 4, -1, 1, 0, 1, 1, 1, -1, 1, 0, 0, -1, -1, -1, -1, 1, 0, 1, -1, 0, -2, 1, -1, 4, -1, 0, -2, 2, -1, 1, -1, -2, 0, -1, 1, -1, 0, 1, -1, -1, 2, -1, 1, -1, 1, -1, 4, 1, 1, 0, 0, 0, 0, -2, -2, -1, 0, -1, -1, 0, 0, -1, 1, 0, 1, 1, 0, 0, 1, 4, 1, 0, -1, 1, -1, 0, 0, 1, 1, 1, 1, -1, 0, 0, 1, 0, 2, -1, 1, -2, 1, 1, 4, -2, 0, -1, 1, -1, -1, -2, -1, 0, -2, 0, -1, 1, 0, 0, -2, 0, 1, 2, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 2, 1, -2, 1, 1, 0, 1, 2, 0, 1, -1, 1, -1, -1, -2, 2, -1, 2, 1, 4, 0, 0, 2, 0, -2, 1, 2, -1, 1, 2, 0, 1, -2, 0, -1, -2, 0, -1, -1, 2, -1, 0, 4, 1, -2, -1, 1, -2, 1, 1, 1, 0, 1, -1, -1, -2, -1, -1, 1, 0, 1, 0, 2, 0, 1, 4, 0, 1, -1, 0, 0, 1, 0, 2, 0, 0, -1, 0, 0, -1, -1, 2, 0, 1, 2, 2, -2, 0, 6, 2, -2, 0, 1, 0, -1, 3, -2, 0, -1, 0, -2, -1, 0, 1, 0, 3, 1, 0, -1, 1, 2, 4, 0, 0, 0, -1, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 0, 2, -2, -2, 1, -1, -2, 0, 4, -2, -1, 1, -1, -2, 0, -1, 2, -1, 1, 2, 0, 0, 1, -1, 1, 1, -2, 0, 0, 0, -2, 4, 0, -2, 1, 0, 0, 2, 0, 1, 1, -1, -1, 0, -2, -1, 1, 2, 1, 0, 1, 0, -1, 0, 4, -1, 1, 1, 0, 1, -1, 0, -1, -2, 1, 0, -1, 1, 0, -1, 1, 1, 0, -1, 1, -2, -1, 4, -2, 1, 0, -2, 1, 0, -1, 1, 0, 2, 2, 1, 1, 1, 1, 0, -1, 0, -1, 1, 1, -2, 6, 1, 0, 2, -1, -2, 1, -2, -1, -2, -2, -1, 2, 2, 0, 2, 3, 1, -2, 0, 1, 1, 1, 6, -2, 1, -2, -1, 0, -1, 0, 2, -1, 3, 0, 0, 1, 0, -2, -2, 0, 0, 0, 0, 0, -2, 4, -1, 0, 0, -1, 0, -1, -1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 2, 1, -2, 2, 1, -1, 4, -1, 0, 1, -1, -1, 0, -2, 0, -1, -2, -1, -1, -1, 0, 2, 0, -1, 1, -1, -2, 0, -1, 4, 0, 1, 1, 0, 0, 1, -2, 1, 0, -2, 0, 0, 0, -1, 1, 0, 0, -2, -1, 0, 0, 0, 4, 0, 1, 0, 1, 0, 0, -1, -1, -1, 0, -2, 1, 1, 1, -1, -1, 1, 0, -1, 1, 1, 0, 4, 1, 0, -1, -1, -1, -1, -2, -1, -1, -1, 0, 2, -1, -2, 1, -2, -1, 0, -1, 1, 1, 1, 4, 0, 1, 1, 0, -2, 0, 1, -1, 0, 0, 0, -1, 1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 4, -1, 1, 0, 2, -1, 0, 2, 1, 0, 0, 0, 0, 2, -2, 2, -1, 0, 0, 1, -1, 1, -1, 6, 1, 1, -1, -1, 1, 0, 0, 0, 1, -2, -1, 2, -2, -1, 0, -2, 1, 0, -1, 1, 1, 1, 4, 0, 2, 2, 0, 1, 3, 2, -1, -1, 1, 1, -1, 3, -1, 0, -2, 0, -1, 0, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, 0, -1, -1, 1, 0, -2, -1, 0, -1, -2, 0, 1, -1, 0, -2, 0, -2, -2, 4, 2, 1, -1, 1, 1, 0, -1, -1, 2, 1, -1, 1, 1, -1, 0, -1, 1, 2, 1, 2, -2, 2, 4, 1, 0, 0, 0, 0, -1, -1, 2, 0, -1, 1, 2, -1, -1, -1, -1, 2, 1, 2, 0, 1, 1, 4, -1, 1, 0, -2, 1, -1, 1, 1, 0, 2, -1, -1, -1, -1, 0, 1, 1, -1, 1, -1, 0, -1, 4, -1, -2, 1, 0, 1, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0, -1, 1, 0, 1, 0, 1, -1, 4, -1, -2, 0, -1, 0, -1, -1, 0, -1, -2, 1, -1, -1, 0, -1, 0, -1, 1, 0, 0, -2, -1, 4, 1, -1, -1, 0, 1, 1, 0, 1, 1, 1, -1, 0, 0, 2, 0, -1, 0, 0, -2, 1, -2, 1, 4, 0, 0, 0, 1, 1, 0, 1, 1, -1, 1, 1, 0, 1, 2, 1, -1, -1, 1, 0, 0, -1, 0, 4, 1, -1, 0, 1, 1, -2, -1, -2, 1, 1, -1, 1, 0, 0, -1, -1, -1, 1, -1, -1, 0, 1, 4, 0, -1, 1, 0, -1, 0, -1, 1, 1, 0, -2, 1, -2, 2, 2, 1, 0, 0, 0, 0, -1, 0, 4, 0, -1, 2, 1, 0, -1, 0, 0, 2, -1, 2, -1, 1, 0, 1, -1, -1, 1, 1, 0, -1, 0, 4, 0, 0, 1, 0, 0, 1, 1, 0, 2, -1, 0, -1, -1, 0, -1, -1, 1, 1, 1, 1, -1, 0, 4, 1, -1, 0, -1, 0, 0, -1, 1, -1, -1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 4, -1, 0, -2, 0, 0, 1, 1, 1, -2, 1, 2, -1, 0, -1, 1, 1, -2, -1, 1, 1, -1, -1, 4, 0, 0, 0, 0, 1, 0, 1, 0, -1, -1, -1, 1, -2, 1, 1, -1, 0, 0, 0, 0, 0, 0, 4, 1, 1, 0, 0, 0, 0, 1, 0, -1, -1, -1, 1, 1, -1, -2, -1, -1, 0, -1, -2, 0, 1, 4, -1, -1, -1, 0, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 1, 0, 0, 0, 1, -1, 4, 1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 1, 4, 0, 0, 1, -2, 2, 2, 1, 0, 0, 0, 0, -1, 0, 2, 0, -1, 1, 1, 0, -1, 0, 0, 4, 0, 2, 0, 1, 1, 1, -1, -1, 2, 1, 1, -2, -1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 6, -1, -2, 2, 2, -1, 1, 0, 0, 2, 0, 1, 2, -1, -1, 1, 1, 0, -1, 0, 1, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, 1, -1, -2, 2, -1, 0, 0, 0, -1, 1, -2, 4, 1, -1, -1, -1, 1, 1, 0, 0, 2, -1, 1, 0, 2, -1, 1, 1, -1, -1, 1, 0, 0, 1, 4, -1, 1, 1, 2, 2, -2, 1, 2, 0, 1, -1, -1, 0, 2, 0, 0, 0, 1, 1, 1, -1, -1, 4, 0, 0, 0, 0, 1, 1, -2, -1, -1, -1, -2, 2, 0, 1, -1, -1, -1, 1, 1, -1, 1, 0, 4, 2, 0, 1, -1, 0, 0, -1, -1, 1, -1, 0, 1, 1, 0, -1, 1, 2, 1, -1, 1, 0, 2, 4, 0, 1, 0, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 0, 1, 1, 1, 2, 0, 0, 0, 4, 1, -2, 1, 2, 0, 2, -2, 0, 1, 1, 0, -1, 0, 1, 0, -1, 1, 2, 0, 1, 1, 1, 4, -1, 2, 1, -1, -1, -1, -1, -1, 2, 0, -1, -1, 1, 1, -1, 0, -2, 1, -1, 0, -2, -1, 4, -1, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, -1, 0, 1, 1, 0, 1, 1, 2, -1, 4, 0, -1, -1, -1, -1, 0, 2, 1, 0, -1, 1, 0, -1, 2, 2, -2, 0, 1, 2, 1, -1, 0, 6, 1, 1, 0, 3, 0, 1, -1, 0, 1, 2, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 1, 4, 0, 0, 1, 0, 0, -2, 1, 2, 0, -1, 1, 1, 1, -1, -1, -1, 2, -1, -1, -1, 1, 0, 4, 0, 1, 1, -1, 0, 0, 0, 0, -1, -1, 0, -1, -1, 1, -1, -2, -1, 0, -1, 0, 0, 0, 4, 2, -1, -1, 0, 2, 0, 1, 0, -2, 2, -1, -2, -1, -1, 0, -1, 0, -1, 3, 1, 1, 2, 6, 0, -1, -1, 1, 1, 2, -1, 2, -1, 0, 2, 0, 1, 1, -1, 0, 0, 0, 0, 1, -1, 0, 4, -1, 0, 0, 0, 0, 1, -1, 1, 2, 0, 1, 1, 1, 2, -1, 2, 1, 0, -1, -1, -1, -1, 4, 1, -1, -1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, -1, -2, 0, 0, -1, 0, 1, 4, -1, -2, 0, 1, 0, -1, 0, -1, 0, -1, -1, -1, -1, 0, 0, 1, 0, 2, 1, 0, -1, -1, 4, 1, 1, 0, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 1, 2, 0, 0, 1, 0, -1, -2, 1, 4, 1, -1, -1, 1, 1, -1, 1, 0, 1, 1, -1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 4, 0, 1, 0, 1, 1, 2, 1, 0, 1, -1, 0, -1, -1, -1, 0, -1, 1, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 2, -1, 0, -1, 1, -2, 2, 0, 1, 1, 1, -1, -2, -1, 1, -1, -2, 1, 4, -2, 1, -2, 0, -1, 0, -2, -1, 1, -1, 1, 2, 1, -1, -2, 1, -1, 2, -1, 0, -1, -2, 4, -1, 2, -1, 1, 0, 1, 0, -1, 1, 1, 0, 0, 0, 1, -1, 2, 0, 0, 1, 2, 1, -1, 4, 0, 1, 0, 0, 0, -1, -2, 2, 0, 1, 1, -1, -2, 0, -1, 1, -1, -2, -1, -2, 2, 0, 4, -1, 2, 1, 2, 1, -1, 1, 1, -1, 0, 0, 1, 0, 0, -1, 0, 0, 2, 0, -1, 1, -1, 4, -2, 1, 0, 1, -1, 2, -2, 0, -1, 0, -1, -2, 0, 0, 1, -1, -1, -1, 1, 0, 2, -2, 4, 1, 2, -1, 0, -1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 4, 2, 0, -1, 1, 1, 0, 0, 1, -1, 0, -1, 0, 0, 1, -1, -2, 1, 0, 2, 0, 2, 2, 4, 0, -1, 1, 1, -1, -1, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, -1, 1, 1, -1, 0, 0, 4, -1, 1, 0, -1, -1, 1, 1, -1, 0, -1, 1, -1, -2, 1, -1, -2, -1, -1, 0, -1, -1, -1, 6, -4, -2, -1, 0, -1, 2, 2, 1, -1, 0, 2, 2, -1, 1, 2, 1, 2, -1, 1, 1, 1, -4, 6, 1, 1, 1, 0, -1, -2, -1, 1, -1, -2, 0, 1, 1, 0, 1, -2, 2, 1, 1, 0, -2, 1, 6, 1, 1, 0, -1, 1, 0, 1, -1, 0, 1, 2, 0, 1, -1, 0, 0, 0, -1, -1, -1, 1, 1, 4, 0, 0, -2, 0, -1, 2, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, -1, -1, 0, 1, 1, 0, 4, 0, 0, 0, -1, 1, -2, 0, 1, -1, 0, -1, 0, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 4, 1, -1, -1, 0, 0, 1, -1, -2, 1, -2, 1, -1, 0, -1, 0, 1, 2, -1, -1, -2, 0, 1, 4, 0, 1, -2, 0, 1, -2, 1, -1, 0, 0, -2, 1, 0, 0, -1, 2, -2, 1, 0, 0, -1, 0, 4, 0, 0, 0, 1, -1, -1, 2, -1, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, -1, 1, 0, 4, -1, 1, 1, 1, 2, 0, 1, -1, 0, 0, 0, -1, -1, -1, 1, 1, 2, 1, 0, -2, 0, -1, 4, 0, 0, -1, -1, 0, -1, 0, 1, 0, 0, 1, 1, 0, -1, -1, -1, -2, 0, 0, 0, 1, 0, 4, 0, -2, 0, 1, -2, 0, -1, 1, 1, 0, -1, 2, -2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 1, 0, -1, 1, 0, -2, 1, -1, -1, 1, -2, -2, 2, 0, -1, 0, -1, 0, -1, 4, 1, 0, -2, -1, 2, -1, 1, 2, 0, 1, -1, 1, 0, 2, 0, -1, 2, 1, 1, -1, -2, 1, 4, -2, -2, 1, 1, 0, 0, 0, -1, 0, -1, -1, 1, 0, -2, 1, 0, -1, 1, 1, 2, 0, -2, 4, 1, -1, 0, 1, -1, -1, 2, -1, 0, 2, -2, 0, 2, -1, -1, 1, -1, -1, 1, -2, -2, 1, 4, 1, 0, 0, -1, 0, 1, -1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, -1, 1, 4, 1, -1, -1, 0, 0, 0, -1, 0, 0, -2, -1, 0, -1, 0, 1, 2, -1, 2, 1, 0, 0, 1, 4, -2, -1, 1, 0, 1, 0, 0, 1, 2, -1, -1, 0, 1, 2, 1, 1, -1, 0, 1, 0, -1, -2, 4, 0, -2, 1, -2, -1, 1, -1, -2, 0, 1, 0, -1, -1, 0, 0, 1, 0, -1, -1, -1, -1, 0, 4, 2, -1, 0, 0, 0, 1, 1, 0, -1, 1, 1, -1, 0, -2, 2, 0, -1, 0, 0, 1, -2, 2, 6, 0, 1, 1, 0, 2, 2, 0, -1, 2, 1, 1, -1, 1, 0, -1, 2, 1, 0, 0, 1, -1, 0, 4, -2, 0, 2, -1, -1, 2, -1, 0, 1, -1, 0, -1, 1, 0, -1, -1, 0, 1, -2, 0, 1, -2, 4, 0, -1, 0, 1, 0, -1, 1, 1, 1, -1, -1, -1, -1, 0, 1, -1, 0, -1, 0, 1, 0, 0, 4, -1, 1, 2, 0, -1, -1, 0, 0, 0, 1, 1, -1, 2, 1, 0, 0, 1, 0, 0, 2, -1, -1, 4, -2, 0, 1, -1, 0, 1, 0, 0, -2, 0, 1, -2, 0, 0, 1, -1, 1, 2, -1, 0, 1, -2, 4, 1, -2, 0, 1, 0, 0, 1, -2, 2, 0, 0, 0, -2, 2, -2, 1, 2, -1, 1, 2, 0, 1, 6, 0, -1, 0, 1, 1, 0, 2, 0, -2, 2, 0, -1, -1, 0, 0, 0, 2, 0, 0, 1, -2, 0, 4, -1, 0, 1, -1, -1, 0, -1, 1, -1, 0, 0, -1, 1, -1, -1, -1, -1, -1, -1, 0, -1, -1, 4, 0, -2, 1, 0, -1, 2, 0, -1, -1, -1, 0, 0, 1, 2, 0, 1, -1, 0, 1, 0, 0, 0, 4, 0, 0, -1, 0, 1, -1, 1, 0, 0, 1, -1, 1, 1, 1, 1, 0, 1, 0, 1, 1, -2, 0, 4, 0, 0, -1, 1, 1, -1, 0, 1, 2, -1, -1, 1, -1, 1, 0, 0, 0, 1, -1, 1, 0, 0, 4, 0, 0, -1, 1, -1, 1, 2, 1, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -2, 0, 2, -2, -1, 0, 1, 0, 1, -2, 1, 1, 4, 0, -1, 0, -1, 2, 1, -1, 2, -1, 1, 1, 1, 1, -1, 1, 1, 0, 0, -2, 1, -1, 0, 4, -1, -2, 0, -1, 1, 2, 0, 1, 1, -1, 0, 0, 1, 1, 0, 1, -2, -1, 1, 1, -1, -1, 4, 0, 2, 1, 0, 0, -1, -1, 0, -1, 1, -1, -1, 1, -1, 1, 0, 1, 0, 1, 0, -2, 0, 4, -1, 1, 0, -1, 0, 1, -2, 0, 0, 0, -1, -2, -1, 0, 1, 1, 0, 1, -1, 0, 2, -1, 4, 0, -1, 1, -1, -1, -1, -1, 1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 2, -1, 1, 1, 0, 4, 1, 0, 0, -1, 1, 1, 0, 1, -2, 1, 0, 1, 1, -1, 1, 1, 1, 1, 0, 0, -1, 1, 4, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, 0, -1, -2, 2, -1, -1, 2, 0, -1, 1, 0, 0, 4, -2, 1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, 0, 1, 2, 0, -1, 0, -1, 0, 0, -2, 4, 0, 0, 1, 2, -1, 0, 0, 0, 0, 0, -2, 0, -1, -1, 1, -1, 1, -1, -1, -1, 1, 0, 4, 0, -1, 0, 0, 1, -1, -2, 1, 0, 1, -1, -2, 1, 1, 0, -2, -1, 1, 1, 0, 0, 0, 6, -1, 0, 2, 1, 1, 0, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, 1, 0, 0, 1, -1, -1, 4, -1, 1, -1, 1, 1, -1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, -1, 2, 0, 0, -1, 4, -2, 0, 0, 0, 0, 0, -1, 0, -2, 1, 0, -1, 0, -1, 1, 0, 1, -1, 0, 2, 1, -2, 4, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, -1, -1, -2, 1, 0, 0, 1, 1, -1, 0, -1, 4, 0, 0, -1, -1, 0, 0, 0, 1, 1, 1, -2, 0, 1, 0, 1, 0, -1, 1, 1, 0, 0, 0, 4, 0, 0, -1, 0, 1, 1, 1, 0, -1, -1, 1, 0, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, 4, -1, 1, -1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 4, 0, 0, 1, 1, 0, -2, 0, 1, 1, 1, -1, -1, 0, 0, -1, 1, 0, 0, -1, -1, 1, 0, 4, 1, 0, -2, -2, -1, 1, 1, 0, -1, -2, 0, -2, 1, -1, 0, -1, 0, 0, 0, -1, 0, 1, 6, -1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, -1, -1, 1, 0, 0, 0, 1, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 2, 1, 1, -1, 2, 1, 1, -2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, -2, 4, -2, 2, -2, -2, -1, 2, 0, 1, -1, 1, 0, -1, 1, 0, -1, 0, -1, 0, -1, 1, 2, -2, 4, -2, 0, 2, 2, -2, 1, 1, 1, -1, -1, 1, -1, 0, 1, 0, 0, 1, 2, 1, -2, 2, -2, 4, -2, -2, -2, 2, 0, -1, -1, 2, 1, -2, 0, -1, -2, 0, -1, 0, -2, 0, 2, -2, 0, -2, 4, 1, 0, -1, 1, 0, 1, -2, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -2, 2, -2, 1, 4, 1, -2, 1, 0, 1, 0, 0, 1, 0, 0, 1, -1, 1, 0, 1, 1, 1, -1, 2, -2, 0, 1, 4, -1, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 1, 1, 2, 0, -1, 2, -2, 2, -1, -2, -1, 4, 1, -1, 0, 1, 0, -1, 0, 0, -1, -1, -1, 0, -2, -1, 2, 0, 1, 0, 1, 1, 0, 1, 6, -1, 1, -2, 1, 0, 0, -1, 2, -1, 1, -1, 2, 1, 1, 1, 1, -1, 0, 0, 0, -1, -1, 6, 0, 0, -2, 2, 2, 2, 0, 2, -2, 0, 1, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0, 4, -2, -1, 2, 0, 1, 1, -2, -1, 1, -1, 0, -2, 1, -1, 2, -2, 0, 0, 1, -2, 0, -2, 6, -1, -1, -1, 0, -2, 1, 0, 1, -2, -1, 0, 0, -1, 1, 1, 0, -1, 0, 1, -2, -1, -1, 4, -2, 1, -2, 0, 0, 1, 0, 1, 1, 1, -1, 1, -2, 1, 1, 1, -1, 0, 2, 2, -1, -2, 4, 0, 2, 1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 2, 0, -1, 1, 0, 4, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 1, 0, -1, 2, 1, 0, -2, 2, 0, 4, 1, 0, -1, 0, 0, 0, 2, -1, 1, -2, 1, 1, 0, -1, 2, 0, 1, -2, 0, 1, -1, 1, 4, 0, 1, -1, 2, 1, 0, 0, 0, 0, 0, -1, 0, -1, -1, 2, -2, 1, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 1, -1, 0, -1, 1, 1, 1, -1, 1, -2, -1, 0, 1, -1, 0, -1, 1, 0, 4, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, 2, -1, 2, -2, 1, 1, 2, -2, 2, 1, -1, -2, 1, 1, 0, 0, 2, 2, 1, 0, 6, 1, 0, 1, 1, 0, -1, 1, 0, -1, 1, 1, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -1, 0, 0, -2, -1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 1, 0, -2, 2, -1, 4, -2, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 2, 0, -1, -1, 0, 1, 0, -2, 1, -2, 6, 2, 0, 1, -3, -1, -1, 1, -1, -3, 0, 1, -1, 1, -1, -1, 0, 0, 2, -1, -1, -1, 2, 6, 1, -1, -2, 2, -1, -1, -1, -2, 1, 3, 0, 1, -1, 2, -2, -1, 3, -1, 0, -1, 0, 1, 4, -2, 0, -1, 1, -2, -2, 1, 0, 0, 1, 1, -1, 2, -2, -2, -1, -1, 0, 1, 1, -1, -2, 4, -1, -1, 0, 2, 2, -1, -1, -1, 0, -1, 0, -2, 2, 2, 1, -1, -2, 1, -3, -2, 0, -1, 6, -1, 2, -1, 0, 3, -1, 0, 1, 1, 2, 1, 0, -1, -2, 1, -1, -1, -1, 2, -1, -1, -1, 6, -3, 1, 1, -1, 2, 2, -2, 0, 2, 1, 0, 1, 2, 1, 0, 1, -1, -1, 1, 0, 2, -3, 4, -1, 0, 1, -2, -1, 1, 0, -1, 0, -1, -1, -2, 0, 0, 1, 1, -1, -2, 2, -1, 1, -1, 4, 2, -1, 1, -1, -1, -1, 0, -2, 2, 2, 1, -1, -1, 1, -1, -1, -2, 2, 0, 1, 0, 2, 4, -1, 0, -1, 0, -1, 1, -2, 1, 1, 0, -1, -1, 1, -3, -2, 1, -1, 3, -1, 1, -1, -1, 4, 0, -1, 1, 0, 0, 1, 0, 0, -1, 0, -1, 1, 0, 1, 0, -1, -1, 2, -2, 1, 0, 0, 4, 0, 1, 1, 0, 0, 0, 0, 2, -2, -1, -1, 1, 3, 0, -1, 0, 2, -1, -1, -1, -1, 0, 4, -1, 1, 1, 1, -1, 0, 2, 1, -1, 2, -1, 0, 1, 0, 1, -2, 1, -1, 0, 1, 1, -1, 4, 1, -1, 0, -1, -1, 0, -2, 0, 0, 1, 1, 1, -1, 1, 0, 0, -1, -1, 0, 1, 1, 1, 4, 1, 1, -1, -1, 0, 0, -1, -1, -1, -1, -1, 0, 2, 2, -1, 0, 1, 0, 0, 1, -1, 1, 4, 0, 1, 0, 0, 2, 0, -1, -1, 2, 2, -2, 1, 1, 0, -2, -2, 1, 0, 1, 0, 1, 0, 4, -1, -1, 0, 1, 1, 0, 0, -2, -2, 2, 0, 0, -1, 2, 1, 0, 0, -1, -1, -1, 1, -1, 4, 1, 0, 1, 0, 1, 0, -1, -2, 2, -1, 1, -1, 2, 1, 0, 0, 0, -1, -1, 0, -1, 1, 4, 2, 0, -2, 0, 2, 3, -1, 1, -2, 2, -2, 1, 0, -1, 2, 2, 0, 0, 0, 0, 0, 2, 6, -2, 2, -2, -1, -1, -1, -1, 1, 1, 0, -1, -1, 0, -2, 1, -2, 0, 2, 1, 1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 1, 1, -2, 2, 0, 1, -2, -1, -2, -1, 0, 2, -1, 1, -1, 2, 1, 4, 2, -1, 0, 2, -1, 2, -1, -1, 1, -1, -1, -1, 0, -1, -1, 2, -2, 0, 1, 1, 2, 2, 4, -2, -1, 2, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, 0, 1, -2, 1, 0, 1, -1, -1, -2, 4, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 0, -1, 0, -1, -1, 4, 0, -1, 0, 0, -2, -1, 0, 0, -1, 1, 1, -1, -2, 1, -2, 0, 0, 1, 2, 2, 0, 0, 4, -1, 2, -1, -1, 0, -1, -2, -1, 0, -1, -2, 2, -2, 0, 1, 1, 1, -1, 0, 0, -1, -1, 4, -1, -1, 2, -1, 2, -1, 0, 0, -1, 2, -1, -1, 0, -2, 1, 1, 2, 1, 0, 0, 2, -1, 4, -2, 0, 0, 0, -1, 0, 0, 0, -2, 1, -1, 0, 1, 1, -2, -1, -1, 0, 0, -1, -1, -2, 4, -2, 0, -1, 2, 1, 0, 1, 1, -1, 1, -1, 0, -2, 2, -1, 0, 1, -2, -1, 2, 0, -2, 6, -1, 2, -1, 1, -2, 0, 1, 0, 0, 2, -2, 2, 0, 1, 0, 1, -1, 0, -1, 0, 0, -1, 4, -2, 0, 0, 0, -1, 0, 2, -1, 1, 1, 0, 1, -1, -1, 0, 0, -1, 2, 0, -1, 2, -2, 4, -1, -1, 0, 0, 1, 0, 1, 0, -1, 1, -2, -1, -1, 0, 0, -2, -1, -1, 2, -1, 0, -1, 4, 2, 0, 2, 1, -1, 1, 0, 1, -2, -1, -1, 0, 1, -1, -1, 0, 0, 1, 1, 0, -1, 2, 4, 0, 2, 0, -1, 0, 1, 0, 0, -2, 0, -1, 1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 4, 0, -1, -1, 0, 0, 1, 0, -1, -1, -1, 1, 1, -1, -1, 0, 1, 0, -1, 0, 2, 2, 0, 4, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, -2, 2, -2, 1, 1, 0, 1, 1, 0, -1, 0, 4, -1, 0, 0, -1, 0, 2, 2, 1, 1, -2, 2, -1, 1, -1, 0, 2, 0, -1, -1, -1, -1, -1, 6, -1, 2, 2, 1, -1, -2, -2, 0, 1, -2, -1, -1, 1, 0, -1, 1, 1, 0, 0, 1, 0, -1, 4, -1, 0, -1, 1, 0, 1, 1, -2, 0, 0, 0, -1, 2, 1, 0, 0, 1, 0, 0, 0, 2, -1, 4, 1, 1, -1, 1, 0, 0, 0, 1, -2, 1, 0, -2, 1, -1, 1, 0, 1, 0, -1, 2, 0, 1, 4, -1, 2, 1, 1, 0, 0, 1, 1, 1, -2, 2, 0, 1, -2, 0, 0, 0, 0, 1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, 2, 2, 2, -1, 0, 1, 0, 0, -1, 0, 1, -1, 0, 1, 0, 1, -2, 2, 4, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, -2, 1, 1, 0, -1, -1, 1, -1, -1, 0, 1, 4, -2, 0, 0, -1, -1, 2, 1, 1, -1, 0, 0, -1, 0, 2, -1, -1, 2, 1, 1, 1, -1, -2, 4, 2, 2, 2, 2, -2, 0, 0, 1, 0, 1, -1, -1, -2, 1, 1, -2, 0, 0, 2, 0, 0, 2, 4, 2, 1, 2, -1, 1, 1, 1, -1, 0, 0, -1, 0, 1, 1, 0, 2, -1, 2, 0, 0, 2, 2, 4, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, -1, 1, 1, 0, 2, -1, 2, 0, -1, 2, 1, 1, 4, 2, -1, -1, 1, 0, 0, 1, 0, 1, -1, 0, 1, -1, 1, 0, 2, 0, -1, 2, 2, 2, 2, 4, -1, -1, 0, 1, 0, 0, 1, 0, -1, 0, 2, -1, 2, -1, -1, 0, 2, -2, -1, 0, -1, -1, 4, 0, 1, 0, 1, 0, 0, 1, 2, 0, -1, 1, 1, 1, 0, 1, 1, 0, 1, 1, -1, -1, 0, 4, 1, 0, 0, -1, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 4, -1, 1, 0, -1, 1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 1, 0, 0, -1, 4, -1, -1, 0, -1, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 4, 1, 0, 2, -1, 0, -1, 0, -1, 0, -1, -2, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, 1, 4, -1, 0, 0, 1, 0, -1, 0, 1, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 6, 1, 0, -1, 2, 1, 2, 0, 1, 1, 0, -1, -1, 0, 1, 0, 1, -1, 1, -1, 2, 0, 1, 4, -1, -1, 0, 1, 1, 0, -1, 0, 2, -2, 0, -1, -1, -1, 2, 0, 0, 0, -1, 0, 0, -1, 4, 0, -1, 1, 1, 1, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, -1, 2, 0, 1, -1, -1, 0, 4, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2, -1, 0, -1, 0, -1, 0, 2, 0, -1, 0, 4, -1, 2, 0, 0, 1, 2, -2, 0, 0, -1, -1, 1, 1, 0, 0, 0, -1, 1, 1, 1, 0, -1, 4, 2, 0, 1, -1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, -1, 0, 2, 1, 1, 0, 2, 2, 6, 0, -2, -1, 1, 0, -1, -1, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, -1, 1, 0, 0, 1, 1, 0, 2, 1, 4, -2, 0, 1, 1, 2, -1, -1, -1, 0, -1, -1, -1, 0, -1, 1, 1, 0, 2, -1, 1, -1, -2, 4, -1, 0, -2, -2, 0, -1, 1, 0, 1, 0, -1, 1, 0, 0, 0, -1, -2, 1, -2, 2, 0, -1, 4, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, -1, 2, -1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 4, -1, 2, 0, 1, 0, 2, 0, 2, 0, 0, -1, 1, 1, 1, 1, -1, 1, 1, 1, -2, 2, -1, 6, 3, 2, -2, 1, 1, 1, -2, 0, 1, 1, 1, -2, 2, 0, 1, 3, 2, 2, -2, 2, 2, 3, 6, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 1, 3, 1, 0, 3, 0, -1, 0, 1, 0, 2, 0, 4, 0, 2, 1, 1, -1, 0, 1, 0, 1, -2, 1, -1, 0, 0, 1, -1, -1, 0, 1, -2, 0, 0, 6, -2, 1, 1, 2, 2, 0, -1, 0, 0, 0, 0, -2, 1, 0, -1, 1, 0, 0, 1, -1, 2, -2, 4, 1, 1, 0, 0, 0, 0, 1, -2, 0, -1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 4, 2, 1, 0, 0, 0, 1, -1, 0, 0, 0, 2, 1, -1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 4, 0, 1, 1, 0, 1, -1, 0, -2, 0, 1, 2, -1, 0, 0, 2, -2, 1, -1, 2, 0, 1, 0, 6, 0, -1, 0, 0, 1, 1, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 4, 0, 0, 0, -1, 1, 0, 0, 2, -1, 0, 1, -1, 0, 1, 1, 1, 0, 0, 0, 1, -1, 0, 4, -2, 1, -1, 1, -1, -1, 0, 1, -1, 0, 2, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, -2, 4, -1, 0, 0, 0, 2, 1, 0, 1, 0, -1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, -1, 4, -1, 0, 0, -1, 1, 0, 1, 0, 0, 1, -2, 1, -2, 0, -2, -1, -1, 1, -1, -1, 0, -1, 4, 0, 1, 0, -1, 1, 0, -1, 2, 1, 2, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4, 0, 0, 2, 1, 2, -2, 0, 1, 0, 1, -1, 0, -1, 0, -2, 1, 0, -1, 0, 0, 1, 0, 4, 0, 1, 0, -1, 1, 1, -1, 1, 0, 0, -2, 1, 0, 0, -1, 0, -1, 2, -1, 0, 0, 0, 4, 0, 2, 1, -2, 2, 1, 3, 3, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, -1, 2, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, -1, 0, -1, -2, -1, 2, 2, 1, 1, 1, 1, 1, -1, 1, -1, 2, 1, 4, 0, -2, 2, 0, -2, 0, 1, -1, 0, 0, 1, 1, -1, -1, -1, 2, -1, 2, 1, 1, -1, 0, 4, -1, 0, 0, 0, 1, 1, 1, 1, 0, -2, 1, -2, 1, -1, 0, -1, 1, 1, 0, -1, -2, -1, 4, -1, -1, 1, -1, 0, 1, -1, 0, -1, -1, 2, 1, 0, -1, 0, -2, 0, 0, 2, 2, 0, -1, 4, 0, -2, 1, 1, -1, -1, 1, 2, 1, 1, 1, 1, 2, -1, 1, 0, 2, 1, 0, 0, -1, 0, 4, -1, -1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, -1, -2, 0, 1, -2, -1, 4, 1, -1, 1, 0, -1, -2, -2, -1, 0, -1, -2, 0, -1, -1, -1, 0, 0, 1, -1, 1, -1, 1, 4, -1, -1, 1, 0, 0, -1, -2, 0, 0, 0, 0, 1, -1, 0, -1, 1, 1, 0, 1, 1, -1, -1, 4, 2, -1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, -2, -1, 1, 1, -1, 0, 1, -1, 2, 4, -1, 0, -2, -1, 1, 1, -1, -1, 1, -1, 1, 0, -1, 0, 1, -1, -1, 0, 0, 1, -1, -1, 4, 0, 0, 1, -3, -1, 0, 1, 1, 1, 0, -1, 2, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 4, 0, 1, 0, 1, 1, 1, 0, 0, -1, 1, 2, 1, -2, -1, 2, 0, -2, 0, 0, -2, 0, 0, 6, 1, 1, 0, 2, 2, 1, 0, -1, 1, 1, 1, 1, -1, 1, 1, -2, -1, 0, -1, 1, 1, 1, 4, 0, 0, 1, 1, 0, 1, 1, 1, 1, -1, -2, 2, 1, 1, -1, -2, 1, 1, -3, 0, 1, 0, 6, 1, 1, -1, 1, -1, 0, 2, 1, -1, 1, 1, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 1, 4, 1, 0, -1, 0, 0, 2, 1, -1, -1, 0, 1, 2, -1, 0, 0, -1, 0, 1, 2, 1, 1, 1, 4, 1, 1, -1, 0, 1, 1, 2, 0, -1, 2, 1, -2, 0, 1, -1, 1, 1, 2, 1, -1, 0, 1, 4, 0, 1, 1, 1, -1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, -1, 1, 0, 4, -1, 0, 0, 1, 2, 1, -2, 1, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1, 0, -1, 1, -1, 4, 1, 1, -1, 1, 1, 0, 0, 1, -1, -1, 1, 1, 0, -1, -1, 1, 0, 0, 0, 1, 0, 1, 4, 0, 2, 1, 0, 0, 2, 1, -1, 0, 1, 0, -1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -2, 2, 1, 0, -1, 1, 1, 0, -1, 2, -1, -1, -1, 2, -1, 0, 0, -2, 0, 1, 4, -2, 0, 0, -1, 1, 1, -1, -1, 1, -2, 2, -2, 0, -2, -1, -2, 1, 1, -2, 1, -2, -2, 6, 3, -1, 0, -1, 0, -1, -1, -1, 2, -2, 0, -1, 0, -1, 0, 0, -2, 1, 0, -2, 0, 3, 6, -1, -2, -2, 2, -2, -2, 0, 0, 0, -2, 1, 0, -1, -2, -1, -2, 2, 2, 2, 0, -1, -1, 4, 1, 0, 0, 2, 2, 1, 1, 2, -1, -1, 0, 1, -1, -1, 0, 0, 1, 1, -1, 0, -2, 1, 4, 1, 0, 1, 1, -1, 0, -1, 2, -1, 0, 2, 2, 1, 0, -1, 0, 0, 1, -1, -2, 0, 1, 4, 1, 1, -1, -1, 0, -1, 2, 0, -1, -1, 2, 1, 2, -2, 0, -1, 1, 0, 2, 0, 0, 1, 4, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0, 1, 0, 1, 2, 1, -1, -1, -2, 2, 1, 1, 0, 4, 2, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, -1, -2, 2, 1, -1, -1, 2, 4, 1, 1, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 1, -1, -1, 0, -1, 1, 4, 0, 2, -1, 1, 0, -1, 0, -1, 0, 0, 1, -1, -2, 2, 0, 1, 0, 0, -1, 1, 1, 0, 4, 0, 0, -1, 0, 0, 1, -1, -1, 0, -1, 2, 2, -2, 0, 2, -1, -1, -1, 0, 0, 2, 0, 6, -3, 1, -1, 1, -3, 0, 0, -1, 1, -1, -2, 0, -2, -1, 2, 2, 0, 0, -1, -1, 0, -3, 6, 0, 2, 0, 4, 0, 1, 1, -1, -1, 0, -1, 1, -1, -1, 0, 0, -1, -1, 1, -1, 1, 0, 4, 0, -1, 0, 0, 1, 0, 1, -1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 2, 0, 4, 1, 1, -1, 0, 3, 0, 2, -1, -1, -1, 1, 2, -1, -1, 1, 1, -1, 0, 1, 0, -1, 1, 4, 0, 0, -1, 0, 0, -1, -2, 0, -2, -1, 2, 2, 0, 0, 0, 0, 1, -3, 4, 0, 1, 0, 6, 0, 1, 0, -1, 0, 1, 0, -1, -1, 1, 1, 1, 0, -1, -1, -1, 0, 0, 0, -1, 0, 0, 4, 0, -1, 0, 0, 1, -2, -2, 0, 0, 2, 0, 0, 0, 0, -1, 0, 1, 1, 0, -1, 1, 0, 4, 0, 0, -2, -2, 1, 2, 0, -1, -2, 1, 0, 0, 0, 0, -1, 1, 0, 3, 0, 0, -1, 0, 6, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 2, -2, 0, 1, -2, 2, -2, 1, 0, -2, -1, 1, -1, -2, 1, -2, -1, 0, 1, 4, 0, 0, -1, 1, -1, 1, 0, 2, 1, 0, 1, -2, 1, 1, 0, -2, 0, 0, -2, 0, 2, 0, 4, -2, 0, -1, 1, 0, -1, 1, -2, 1, 0, -1, 0, -1, -1, 0, 1, -1, 0, -1, -2, 0, -2, 4, 0, 1, -1, -1, 0, -1, 2, -1, 1, 2, 1, 0, 0, 0, -1, 1, 1, 0, 2, -1, 0, 0, 6, 0, 1, -1, -3, 1, -1, -1, 0, -1, -1, 1, 1, -1, 0, -1, 2, -1, -2, 1, -1, 1, 0, 6, 0, -2, 1, -1, 1, -1, 2, 1, 2, -1, 1, 1, 1, 2, -1, -2, 0, -1, 1, -1, 1, 0, 4, -1, 0, -1, 0, 1, -1, 0, 1, 0, -1, 0, -1, 1, 2, -1, 1, 1, 0, -1, -1, -2, -1, 4, 1, 1, 0, 1, -1, -2, -1, 1, -1, -1, -1, -1, 0, 1, -2, 0, -1, 0, -3, 1, 0, 1, 4, -2, 1, 1, -1, 0, 1, -1, 0, 1, -1, 1, -1, 0, 2, 2, 1, -1, 1, -1, -1, 1, -2, 4, -1, -1, 1, -2, -1, 1, 0, -2, 1, -1, -1, 0, -2, 1, -2, 2, -1, 1, 0, 0, 1, -1, 4, -1, 0, 0, 1, 0, 0, 0, -2, 2, 1, 0, 1, 0, 1, -1, -1, -1, 1, 1, 1, -1, -1, 4, 0, -1, 1, 1, -1, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 2, -1, -1, -1, 1, 0, 0, 4, 1, 0, 0, 0, -1, 2, 1, -1, 0, -2, -2, -1, 2, -1, 1, 0, -2, 0, -2, 0, -1, 1, 6, 1, -2, -1, 1, 1, 0, 1, -1, -1, 1, 0, 1, -1, 2, 1, -1, 1, -1, 1, 1, 0, 1, 4, -1, -1, 0, 0, 1, -1, -1, 1, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, 1, 0, -2, -1, 4, 1, -1, -1, 0, 0, 2, -1, 0, -1, 0, 1, 1, -1, -1, 0, 0, 0, -1, 0, -1, -1, 1, 4, 1, 0, 0, 0, 1, -2, -2, 0, 0, -1, 1, 0, -1, 1, -2, 0, 0, -1, 1, 0, -1, 1, 4, 0, 1, 1, 0, 1, 0, 1, -1, 0, 1, -1, -1, -1, 1, -2, 0, 2, 1, 0, -1, 0, 0, 4, -1, -2, 0, -2, 0, -1, 1, -1, 2, 1, -1, 1, -1, 2, 0, 1, 0, 1, 0, 0, 1, -1, 4, 1, 0, -1, -2, 0, 1, 2, -1, 2, 0, -1, -1, 1, -1, -1, 1, -1, 0, 0, 1, -2, 1, 6, -1, 0, 0, -1, 0, -1, -2, -1, 1, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 2, -1, 2, -1, 0, -1, 0, 2, 0, 0, 2, 0, 2, 1, 0, -1, 0, 0, 0, 2, 4, -1, 2, -1, 2, 0, 0, 0, 0, 2, 0, -1, 1, -1, 0, 0, 0, -2, 1, -1, 1, 0, -1, 4, 1, -1, -1, -1, 0, -2, 0, -1, 0, -1, -1, 1, -1, -1, 0, 0, -1, 0, 1, 2, 2, 1, 6, 1, 0, 1, -2, -2, 0, -1, 1, -2, 1, 1, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, 1, 4, 0, 2, -2, 0, 1, -2, 1, 0, 0, 0, -1, -1, 0, 1, 0, -1, 0, 2, 2, -1, 0, 0, 4, -1, 0, 1, 0, 1, 0, 1, 1, -1, 1, 1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 2, -1, 4, 0, 0, 0, -1, 0, 0, 0, -1, -2, 0, 0, 1, 1, -2, 0, 0, 0, 0, -2, -2, 0, 0, 4, 0, -1, 1, -2, 1, 0, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, -2, -2, 0, 1, 0, 0, 4, 0, 0, 0, 1, -1, 0, 1, 1, 1, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 4, 0, 2, 0, -1, 1, 1, -2, 2, -1, 0, -1, 0, 2, 2, -1, -1, -2, 1, -1, 1, 0, 0, 6, -2, -1, 0, -1, 0, 2, 2, 0, -1, 0, 1, 0, 0, 0, 1, 1, 0, 0, -2, 0, 2, -2, 4, 1, 0, 0, 2, -2, 0, -2, 1, 0, 0, 0, -1, -1, -2, 0, 1, 0, 1, 1, 0, -1, 1, 4, 1, 0, 1, 1, 0, 0, 2, 0, -1, 2, 1, -1, 1, 0, 1, 0, 0, -1, -1, 0, 0, 1, 4, 0, 1, 1, -2, 0, 1, 0, 0, 0, -1, 1, 1, 0, -1, -1, 0, 0, 1, -1, 0, 0, 0, 4, 0, -1, 0, 1, 0, 0, -1, 2, 0, -1, 0, -1, 1, -2, -1, 1, 1, 0, 2, 1, 1, 0, 6, 1, 0, -2, 0, 2, -1, 1, 0, -1, -1, -1, 1, 0, 1, 1, -2, 2, -2, 1, 1, -1, 1, 4, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 2, 2, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, -1, -2, 0, -1, 1, -1, 1, 1, 0, -1, 0, -2, 0, 0, 1, -2, 1, 0, 4, -1, 0, 0, 0, 1, -1, 0, 0, 1, 1, 1, 1, 0, -1, 1, 2, 1, 0, 0, 0, 0, -1, 4, 0, 0, 0, -1, 0, -1, -1, 0, -2, 0, 1, -1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 4, -1, 0, 1, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, -1, -1, 0, 1, 1, 2, -1, 2, 0, 0, 0, 0, 1, -1, 2, -2, 2, 0, 4, -1, -2, -2, 1, 0, -1, -1, -1, 0, -2, -1, -1, 1, -1, 0, -2, 1, 0, -1, -1, 1, -1, 6, -2, 1, -2, -1, 1, 0, 1, -1, 1, -2, 0, 0, -2, 2, 1, -2, -1, 2, 3, 0, -2, -2, 6, 2, 2, 1, 2, -1, 1, 1, 1, 3, 2, -2, 0, -2, 2, 0, 1, -1, 0, 0, -2, 1, 2, 4, 1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, -1, 1, -2, 2, 1, 6, 2, -1, -1, -1, -1, -1, -1, 1, -1, 0, 0, -1, 1, -1, 1, -2, -1, 0, -1, 1, -1, 2, 4, 1, -1, 0, -1, 1, -1, 0, -2, 0, -1, 0, -1, -1, 1, -1, 0, -1, 1, 2, 0, -1, 1, 4, 0, 1, 0, 1, 0, 1, -1, -1, 0, 1, -2, 1, 0, 0, 1, -1, 0, -1, 0, -1, -1, 0, 4, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, -1, 0, 1, -1, 1, 1, 0, -1, 0, 1, -1, 4, 0, 1, 1, 1, -1, -1, 1, 1, 0, 0, -1, 1, 2, 0, -1, 1, 0, -1, -1, 0, 0, 0, 4, 0, 2, -1, 1, 0, -1, 0, 0, 2, -2, 0, -1, -2, 1, 1, 1, -1, 1, 1, 0, 1, 0, 4, -1, 1, -1, 0, 0, 1, 0, -1, 0, 1, 2, -1, -2, 3, 0, -1, -1, 0, 0, 1, 2, -1, 6, 1, 0, 1, -2, 2, 0, 2, -3, 1, 0, -1, 0, 2, 1, 1, 0, 1, 1, 1, -1, 1, 1, 4, -1, 0, 0, 1, 0, 0, -1, 1, 0, 1, 0, -2, 0, -1, -2, -1, 1, -1, 1, -1, 0, -1, 4, 1, 0, -1, 1, 1, 0, -1, 0, -1, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, 4, -1, 1, 0, 1, 0, 0, 0, 0, 2, -2, 0, 0, -1, 0, 0, 1, -1, 0, -2, 0, 0, -1, 4, -1, 0, -1, 1, 0, 1, -2, 1, 2, 2, -1, 0, 1, 0, 1, 0, 1, 2, 1, -1, 1, -1, 4, -1, 1, 0, 3, -1, 1, -2, 0, 0, 1, -1, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 4, -1, -1, -1, 2, 0, -1, 1, 0, -1, -1, 1, 1, 0, 2, -1, 2, 0, 1, 1, -1, 1, -1, 4, -1, 0, -2, -1, 2, -1, 1, 1, 1, 0, -1, -1, -2, 0, -3, -1, 0, 0, 1, 0, -1, -1, 6, -1, 2, -1, 3, 0, 2, -2, -1, 0, 0, 1, 0, 1, 1, 1, -1, 0, 0, 3, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, -2, 1, 0, -1, -2, 2, 2, -1, 1, -1, -1, -1, 1, 0, 2, 1, 4, 0, -2, 2, 0, 0, -1, -1, 1, 0, 1, 2, 1, -2, -1, 1, -2, -2, 2, 0, 1, -1, 0, 4, -1, 1, 0, 0, 2, -2, 1, -1, 2, 0, -2, 0, 1, -1, -1, 2, 1, -1, 0, -1, -2, -1, 4, -2, -1, 0, 0, 1, -1, 1, -1, -2, 0, 2, 1, 0, 2, 1, -2, 1, 0, 1, 2, 1, -2, 4, 0, 1, 0, -2, 0, 0, 1, 2, 1, -1, 0, 0, -2, 0, 2, -1, 1, 1, 0, 0, -1, 0, 4, 1, -1, 0, -1, -1, 1, 2, 1, 0, 0, -2, 0, -1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 4, -2, 1, 0, 0, -1, 2, 1, 1, 2, -2, 0, 1, 0, -1, 2, -2, -1, 2, 0, 0, -1, -2, 4, -1, 1, 0, 1, -2, -2, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, -2, 1, -2, 0, 1, -1, 4, 0, 1, -2, -1, 0, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1, -1, 0, -1, 0, 1, 0, 4, -1, 0, 1, -1, -1, 0, 1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, -1, 0, 0, 1, -1, 4, 1, -2, 0, 0, 0, 0, 0, -1, -1, 1, 0, -2, 1, 2, -1, 1, 1, -1, 1, -2, 0, 1, 6, 1, -1, -1, 0, 0, -2, 0, 1, 0, 0, 2, 2, 0, -2, 2, 2, 2, -2, -1, 1, -2, 1, 6, 1, 0, 0, 0, -2, 0, 2, -1, 2, 2, 1, -2, 0, 1, 1, 1, -2, 0, -1, 0, -1, 1, 4, -1, 0, 0, 0, -2, 0, 1, 1, -1, -2, 0, 2, -1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 4, 0, -1, 1, 3, -1, -1, 0, 1, -1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 4, -1, 0, 1, 0, 0, 2, -1, 1, -1, 0, 0, -2, -2, 0, -1, 1, 0, 0, 0, 0, -1, -1, 4, 0, -1, 0, 0, -1, -1, -2, -1, 2, -2, 0, 0, 0, 1, 0, 0, -2, -2, 0, 1, 0, 0, 4, 0, -2, 1, -1, -1, -2, 2, 1, 0, -1, 1, 1, -1, -1, -1, 0, 0, -2, 3, 1, -1, 0, 6, 0, -2, 0, 1, 2, 1, -2, 2, 0, 0, 0, -1, 0, -1, 1, 2, 0, -1, 0, 0, -2, 0, 4, 0, 1, 0, 0, -1, 1, -1, 1, -1, 0, 1, -1, 1, 0, -1, 1, -1, 0, 0, 1, -2, 0, 4, 0, 2, 1, 0, 0, 1, 1, 2, -1, 1, 0, 0, 0, 2, 1, 0, 2, -1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -1, 1, 2, 2, -2, 1, -2, 1, 1, 1, -2, 0, 1, -2, 2, 2, 1, 0, -1, 4, 0, 0, 2, 0, 1, 0, 1, -1, 2, -2, -2, 0, 2, -1, -2, 1, 1, 0, -2, 1, -2, 0, 4, -2, -1, -1, -1, -2, 1, 0, 0, 1, 1, -1, 1, -1, -1, 1, 0, -2, 1, 1, 2, 0, -2, 4, -1, 2, 0, 2, -2, 1, 0, 0, 1, 1, -2, 0, 0, -2, 1, 2, 1, 0, -1, 2, -1, -1, 6, -2, 1, -1, 3, -2, 3, -2, -4, -2, 0, 2, -1, 1, -2, -1, -1, 1, 1, 0, -1, 2, -2, 4, 0, 1, -1, 2, 0, 0, 2, 2, -1, 0, 0, -1, 2, 1, -1, 0, 2, 1, -1, 0, 1, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 1, 0, 0, 2, 0, -2, 2, -1, 1, 0, 4, -2, 1, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, -2, 1, 1, -2, 3, -1, -1, -2, 6, -1, 3, -1, -2, -1, 0, 1, 1, 2, -1, -2, -2, 2, 1, -1, 0, 1, -2, 2, 0, 1, -1, 4, -1, 2, 1, 2, 0, 0, 0, -2, 0, 0, 1, 0, -2, 2, 0, 0, 3, 0, 0, -2, 3, -1, 6, -1, -2, -1, 1, 0, -1, 1, -1, -1, -2, 0, 1, -2, 1, 0, -2, 0, 0, 0, -1, 2, -1, 4, 2, 0, -1, -1, 1, -1, 0, -1, 1, -1, 1, -2, 1, 1, -4, 2, 0, 0, -2, 1, -2, 2, 6, 0, -1, -1, 1, -1, 3, 1, 1, 0, 1, 0, -1, 1, -2, 2, 0, 2, -1, 2, -1, 0, 0, 4, 0, 0, 0, -1, 0, 1, 0, 0, -2, 2, 1, -2, 0, -1, 0, 0, 0, 0, 1, -1, -1, 0, 6, -2, -2, 0, 0, 0, -2, 0, 0, -1, -1, 0, 2, 0, 0, 0, 1, 0, 0, -1, -1, 0, -2, 4, 1, 0, -2, 0, 1, 1, 1, -2, -1, 0, -1, 0, -1, 0, 1, 0, -1, 1, 1, 0, -2, 1, 4, 0, 0, 0, 0, 0, -2, 1, 1, -2, 1, -1, 0, -2, 2, -2, 1, -1, -1, -1, 0, 0, 0, 4, 0, -1, -1, 0, 2, 1, 0, 1, -2, 2, 2, 0, -1, 0, -1, 0, 3, 0, 0, -2, 0, 0, 6, 1, -1, 1, 2, 0, -2, 2, -1, 1, 1, 2, -2, 0, -1, -1, 1, 1, 0, 0, 0, -1, 1, 4, 1, 0, 1, -2, 1, 1, -1, -1, 0, 0, -2, 1, -2, 1, 1, 0, -2, 1, 0, -1, -1, 1, 6, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 2, -1, -2, 1, 0, 1, 0, 2, 1, 1, -1, 2, 0, 1, -2, 0, -2, -2, 4, 2, -1, 1, -1, -1, 1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 0, 0, 2, 0, 0, -2, 2, 4, 0, 2, -1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 1, -2, -1, -1, 0, 0, 0, 1, -1, 0, 4, 0, -1, -1, 1, 1, 0, 1, -1, 1, 0, 0, 1, -1, 0, -1, -1, 0, -2, -1, 1, 2, 0, 4, 1, 1, -1, 1, 2, -2, 0, 1, 0, 1, 2, -1, 1, 1, 0, 0, 0, 2, -1, -1, -1, 1, 6, 2, -4, 1, 0, 0, 2, 2, -1, 2, 1, 1, 1, 2, -1, -1, -1, -1, -1, -1, -1, 1, 2, 6, -1, 0, 0, -2, 1, 0, -1, 2, 1, 1, 2, 2, -1, 1, 2, -2, 1, 1, 1, -1, -4, -1, 6, -1, 0, 0, 0, -1, -1, -3, 0, -2, -2, -1, 0, 0, 2, 1, 0, -1, 1, 1, 1, 0, -1, 4, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, -1, 1, -2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 4, 0, 1, 1, 0, 0, 1, 0, 1, 1, -2, 1, 1, 1, -1, -1, 1, -2, 0, -2, 0, 0, 0, 4, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, 2, 1, 0, 0, 1, 0, 4, 0, -1, 0, 1, 0, 0, 0, -2, 0, 2, 2, -1, -1, 1, 1, 2, 0, -1, 2, 1, 0, 0, 4, 1, 1, 1, 1, 0, 1, -1, -1, -2, 1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, -1, 1, 4, 0, -1, 1, 0, -1, -1, 1, -2, 1, -1, -1, 0, 1, 2, 2, -3, 0, 0, -1, 0, 1, 0, 4, 1, 1, 1, 1, 0, 0, 0, -1, 0, 1, 1, 2, 1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 4, -1, 0, 0, 0, -1, 1, 2, -1, -2, -1, -1, 1, 1, -2, 1, 0, 0, 0, 1, 1, 1, -1, 4, 1, 1, -1, 1, 0, 0, 0, -1, 0, 1, 1, 2, -2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 4, 1, 0, 2, 0, 1, 0, -1, -1, 1, 2, 2, -1, 0, 1, -1, 0, 1, -1, 1, 0, 1, 1, 4, -1, 0, 1, -2, 2, 0, -1, 0, -1, -1, 0, -1, -2, 0, -2, -1, -1, 0, 0, -1, 0, -1, 6, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, -1, 1, 0, -1, 1, 2, 0, -1, 4, 0, -2, 0, 0, -2, 0, -1, 2, 2, -2, 1, -1, 2, -2, -2, 0, 1, 0, 0, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, -1, 0, 2, 0, -2, 0, 1, 0, 0, 1, 1, 1, 1, 0, -1, 0, 0, 0, 2, 4, -2, 0, 1, -1, 1, -1, -2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, -2, -2, 4, 0, -1, 1, -1, 0, 2, 0, -1, -1, -1, -1, -1, -2, -2, 0, 0, 0, 1, 1, -2, 0, 0, 4, 2, -1, -2, 1, 1, 1, 0, -1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, -1, 1, -1, 2, 4, 0, 0, 1, -1, 1, 0, 1, 0, 0, -1, 1, 2, 1, 2, 1, 0, 1, 0, -1, 1, -1, 0, 4, 0, -1, 1, -1, 1, 0, -1, 1, -1, -2, -2, 0, 1, 0, 0, 1, 2, 1, -1, -2, 0, 0, 4, 0, -1, 1, 0, 2, -1, 0, -1, 1, 1, -1, -1, 0, -1, -1, 0, -1, 0, 1, 1, -1, 0, 4, 0, 1, 1, 0, -1, 1, 0, 1, 1, 0, 1, 0, 0, 0, -2, -2, 2, 1, -1, 1, -1, 0, 4, 0, 0, -1, -1, 0, -1, -2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 1, 1, 0, 4, -1, -1, 0, 1, 0, 1, 1, -1, 1, 1, -1, 0, 1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 4, 1, 0, 1, 1, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 1, 0, 2, 0, -1, -1, 1, 6, 1, -2, -2, 1, 2, -1, 0, -2, -1, -2, 0, 1, -1, 1, 0, -1, -1, -1, -1, 0, 0, 1, 4, 0, 1, 1, 2, -1, 0, -1, -1, 0, 1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, -2, 0, 4, 1, 0, -1, 0, 1, 1, -1, 0, 1, 0, -1, 0, -1, -1, -1, 0, -1, 0, 1, -2, 1, 1, 4, 0, -1, 0, 0, 0, 1, 1, 1, 2, -2, 0, 1, -2, 1, 1, -2, 1, 0, 1, 1, 0, 0, 4, 3, 0, 0, -1, -1, -1, 1, 2, -2, 1, 2, -2, 1, 1, -2, 1, -1, 2, 2, -1, -1, 3, 6, -1, 0, 0, -1, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, 4, 1, 1, 2, 1, -1, 0, 0, 2, 2, 1, -1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 4, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, -1, -2, -1, 1, 0, -1, 0, 1, 0, 4, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, -1, -1, -1, 1, -1, -1, 2, 0, 1, 4, 1, 0, 0, 1, 1, 1, 1, -1, 0, 0, 0, 0, -2, 0, 0, 1, -1, 0, 1, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 2, -1, 0, 2, 1, -1, 0, -1, 1, 2, -1, 0, -1, -1, 1, -1, 2, -1, -2, 1, 4, 1, 0, -1, 1, 1, 2, -1, 0, -1, 0, 1, 1, 0, -1, -1, 1, -2, 1, 1, 0, 1, 1, 4, 2, -1, 2, 0, 2, 0, 1, -2, 1, 2, -1, 0, 1, 0, -1, 0, 2, -1, 0, 2, 0, 2, 4, -1, 0, 0, 0, -1, 0, -1, 0, 2, 0, 1, 1, -1, -1, 1, 2, 0, 0, -1, -1, -1, -1, 4, 0, 1, -2, -1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 4, -1, 1, -1, 0, 0, 0, 2, -1, 0, 1, 0, 0, -1, 2, 0, 0, 2, 1, 0, 0, 1, -1, 4, 0, -1, 1, -1, 2, 1, 0, -1, -2, 1, 1, -1, 1, -1, -1, 1, 2, 2, 0, -2, 1, 0, 4, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, -2, 0, -1, -1, -1, -1, 0, -1, -1, -1, -1, 0, 6, -1, -1, -1, 0, 0, -2, 0, 2, -2, 1, 0, -1, 1, 0, 0, 1, 0, 1, 0, 1, 0, -1, 4, -2, 1, 1, 0, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -2, -1, 0, 0, -1, -1, -1, -2, 4, 0, -1, 0, 0, 1, -1, 0, 0, -1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, -1, 1, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, -1, 0, 6, -1, -1, 0, 1, 0, 0, 4, -1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, -1, 4, 0, -1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, 0, -2, 1, 0, 0, -1, 0, 4, 0, -1, 0, 1, 0, 0, -1, -1, -1, 1, 1, 0, 1, -2, -1, 0, -1, 1, 0, 0, -1, 0, 4, 0, -1, 1, 0, 1, 2, -1, -1, 0, -1, 2, 0, 1, -1, 2, 1, -1, 0, 1, 0, -1, 0, 4, -1, 1, 1, -1, 1, 1, 1, -1, -1, 0, 0, 1, 0, -2, 1, 0, 0, 0, -1, 0, -1, -1, 4, -1, 0, 1, -1, -1, -2, 0, 1, 1, -1, -1, -2, 1, 1, 0, 0, 0, 0, 1, 1, 1, -1, 4, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, -1, 0, 4, 0, 0, 0, 1, 0, 0, 6, 0, 0, -1, 1, -1, 0, 0, 0, -1, -1, -1, -1, 1, -1, -1, 1, 0, 1, -1, 1, 0, 0, 4, 1, -2, 0, 0, 0, 0, 0, -1, -1, 1, -1, 1, -1, 0, 1, -1, 2, 1, -1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 1, 2, -1, 1, 1, -2, 1, 0, 0, -1, 2, -1, 1, 1, -1, 1, -1, 1, 4, -2, -1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, -1, -2, 1, 0, 0, 2, -2, -1, -2, 4, -1, 0, -2, -1, 1, -2, 0, -1, 0, -1, 0, -1, -1, 2, 0, -1, 1, 0, 2, 1, -1, -1, 4, 0, 0, 0, -2, 1, -1, -1, 0, 0, -1, -1, 1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 4, -1, -2, 2, 0, -1, 1, 0, -1, -1, 1, 0, 0, 1, -1, 0, 1, 0, 1, 2, -2, 0, -1, 4, 2, -1, 2, 1, -1, -1, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 1, -1, 0, -2, 2, 4, -2, 1, 2, -2, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, 1, -2, 2, -1, -2, 4, -1, -1, 1, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, 0, 1, 2, -2, 1, 0, 2, 1, -1, 4, 0, 0, 0, 1, 1, 0, -1, -2, 1, 1, 1, 1, -1, 1, 1, 0, -1, -1, 1, 2, -1, 0, 4, 0, 1, 1, 0, -1, 1, 0, 1, -1, 0, 0, -1, -2, 0, -1, -1, 1, -1, -2, 1, 0, 0, 6, 1, -1, -1, 1, 1, 1, -1, 1, 0, -1, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, 4, 0, -1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, -1, 0, -1, 2, 1, 0, 1, 1, -1, 0, 4, 1, 0, 0, -2, 0, 0, 1, 0, -2, 0, 1, 0, -1, -1, 0, 0, 0, 1, 0, -1, -1, 1, 4, -1, -1, -1, 0, 1, 1, 1, -1, -1, 0, -1, -1, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, 4, 0, 0, 0, -1, -1, 0, 0, 2, -1, -1, 1, 0, 0, 0, -1, -1, 1, 1, 1, 0, -1, 0, 6, 0, 0, 1, -1, -1, -1, -1, -2, 2, -1, 0, -2, -1, 0, -2, 0, 1, 1, -2, -1, 0, 0, 4, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, 0, 4, -1, -1, 1, 0, 1, 0, -1, 1, -1, 0, 0, -1, 1, -1, 1, 1, 0, 1, -1, 1, 0, -1, 4, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 0, -1, 0, 4, 1, 0, 1, 2, 0, -1, 1, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 4, -1, -1, -2, 2, 0, 0, -2, -1, 0, -1, -1, 1, 0, -2, -1, 0, -1, 2, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 0, -2, -1, -2, -2, 0, 0, 1, 1, 1, -1, -1, 0, 0, 1, 0, -2, -1, 0, 4, -1, -1, 1, 1, -1, 1, 0, 0, -1, 1, -1, -2, 2, 1, -2, 0, 0, 0, 0, 0, 1, -1, 4, 0, -2, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, -2, 2, 1, 2, -1, -1, 1, 2, -1, 0, 4, -1, -2, 0, -2, -1, 1, 1, 0, 1, 1, -1, 0, 1, 1, 0, -1, -2, 0, 0, 1, -2, -1, 4, 1, -1, 1, 0, 1, -1, 1, 1, 0, 1, 2, -2, -1, -1, 1, 1, 0, -2, 1, 0, -2, 1, 4, 1, 2, 1, -1, -2, 0, 0, -1, 1, 1, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, 4, 1, 2, -1, 1, -1, -1, 1, -1, 0, 0, -1, 1, 1, 0, -1, -2, 1, 0, -2, 1, 2, 1, 4, 2, -1, -1, -1, -1, -1, 1, 1, -1, 0, 0, 0, 1, 1, -2, 0, -1, -1, 0, 1, 2, 2, 4, -1, 1, 0, -2, 0, 0, 0, -1, -1, 0, 1, 1, 0, 0, 0, -1, 1, 1, -1, -1, -1, -1, 4, 0, 1, 0, 0, 1, 1, 0, 1, 0, -1, 1, 0, 0, -1, -1, 1, -1, -2, 1, -1, 1, 0, 4, -1, 0, 1, -1, -1, 0, -1, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, -1, -1, 0, 1, -1, 4, -1, 0, 0, 0, -1, -1, -1, 1, 0, -1, 1, -1, 0, 1, 1, 0, -1, -1, -2, 0, 0, -1, 4, 0, -1, 0, 1, 0, -1, 0, -1, 1, 1, -2, 0, 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 4, -1, -1, 1, 0, 0, 0, -1, -2, -1, 2, 0, -1, 1, 1, -1, 1, 0, 1, -1, 0, -1, -1, 4, 1, -1, 0, 0, -1, 1, 1, -1, 1, -2, 0, 2, 1, 0, 1, 0, 1, -1, 0, 0, -1, 1, 4, -1, 0, -1, 0, 1, 1, 0, -2, 2, 1, -2, -1, 0, -1, -1, 0, 0, -1, 1, 1, -1, -1, 4, 1, 0, -1, -1, 1, 0, 0, 1, 1, -1, 0, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0, 1, 4, 1, -2, 0, 1, 1, 0, 2, 0, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, 4, -1, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 1, -1, 1, 1, 0, 0, -1, 0, -1, -2, -1, 4, 1, -1, -2, 0, -1, -2, 1, 1, 0, 1, 1, 1, 0, 0, -1, -1, 1, 1, -1, 0, 0, 1, 4, 0, -1, 0, 1, 0, 0, 1, -1, 1, 0, 0, -1, -1, 1, -2, 1, 1, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, -1, -1, -1, 2, 2, 0, 1, 0, -1, -1, -1, -1, 1, 0, 0, 0, 0, 1, 0, 4, -1, 1, 2, 1, 1, -2, -2, -1, -1, 1, -1, 2, -1, -1, -1, 0, 2, 0, 1, 1, 1, -1, 4, 0, 0, 1, 1, 2, 2, 2, 0, -1, 0, 0, -1, -1, -1, 0, -2, 0, -1, -1, -2, 1, 0, 4, 2, 0, 0, 0, -1, 0, 0, -1, 0, 1, 1, 1, -1, 0, -1, 0, 0, -1, -1, 2, 0, 2, 4, 0, 0, 0, -2, 0, 0, 1, 0, 2, -1, -1, -2, 0, 1, 0, 0, 1, -1, 1, 1, 0, 0, 4, 2, -2, -1, 1, -2, 0, -1, 1, -1, 0, -1, -1, 1, -1, 0, -1, -1, 1, 1, 0, 0, 2, 4, -2, 0, 1, -1, 0, 1, 2, 0, -1, -1, 1, 0, 1, -1, 0, 2, -2, 2, 0, 0, -2, -2, 6, 3, 1, 2, -2, -1, -2, -1, 1, 1, -1, -1, 1, 0, -1, 2, -2, 2, -1, -2, -1, 0, 3, 6, 2, 0, -1, 0, -1, 0, 0, 0, 1, -2, 0, -2, 0, 0, -1, 2, 0, 0, 1, 1, 1, 2, 4, 0, 0, 0, 0, -1, 0, 0, 1, -2, -1, -2, 0, 1, -1, 0, 0, 0, -2, -1, 2, 0, 0, 4, -1, 1, -1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, -2, -1, 0, -1, 4, 0, 1, -1, -1, -1, 0, 0, -1, 0, 2, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, 4, 0, 2, -1, 0, 1, 0, 1, -1, 1, -1, 2, 0, 1, 2, 1, 2, -2, -1, 0, -1, 1, 0, 4, -1, -1, -2, 1, 0, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, -1, 0, -1, 0, -1, 2, -1, 4, 0, 0, 0, 0, 1, -1, 0, -1, -1, -1, 1, -1, 0, -1, 1, 0, 0, 0, -1, -1, -1, 0, 4, 2, -1, -1, 0, 1, -1, 1, -1, -1, -1, -2, -1, -1, 1, 0, 0, 2, -1, 0, -2, 0, 2, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 1, 0, 1, 1, 0, -1, 0, 4, -1, 0, -1, 1, 0, 2, -2, -1, 1, 1, 0, -1, -2, -2, 0, 0, 0, 0, 0, -1, 0, -1, 6, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 1, 0, -1, 0, -1, 1, 0, 1, 0, 0, 0, 0, 4, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, -2, -2, 0, 0, -1, 0, -1, 1, 1, -1, 1, 1, 4, -1, 1, 1, -1, -1, 1, -1, 0, -1, 0, 0, 0, 2, 1, 1, 0, -1, 0, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, -1, -1, -2, 1, -2, 1, 0, 1, 1, -1, -1, -1, 1, 2, -2, 2, 2, -2, 4, 2, -1, 1, 2, 2, 0, 0, 1, -1, 0, 0, -2, 0, 1, 0, -2, -1, 2, -1, -2, -2, 2, 4, -1, 2, 2, 0, 2, 1, 2, 0, -1, -1, -2, 1, 0, 0, -2, -1, 2, 0, -2, 1, -1, -1, 4, 1, -2, -2, -2, 1, -1, 0, -1, 1, 0, -1, -2, 1, 0, 2, -1, 2, 0, -1, 1, 2, 1, 4, 1, 0, 1, 2, 1, 0, -2, 1, -1, -1, 0, 0, -1, 1, 1, 0, -1, -1, 2, 2, -2, 1, 4, 2, 2, 0, 2, -1, 0, -1, -2, 0, 1, -1, -2, 0, 1, 0, -1, -1, 2, 0, -2, 0, 2, 4, 0, 0, 0, -1, 0, 0, -1, 0, 1, -1, 0, -1, 1, -1, -1, -2, 0, 2, -2, 1, 2, 0, 6, 0, 3, 0, 1, -1, 0, 1, 1, -1, -1, -2, 1, -2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 6, -2, 1, -2, 2, 0, -2, 0, 1, 0, -1, 1, 2, 0, -2, 1, 2, -1, 1, 2, 0, 3, -2, 6, -2, 0, -2, -1, 1, 0, -2, -1, 1, 1, -2, -1, 1, -1, 0, 0, 0, -1, -1, 0, 1, -2, 4, -1, 1, 1, 0, 0, 1, 1, 0, -1, 1, 1, 0, 0, -1, -1, -2, 0, 0, 1, -2, 0, -1, 4, 0, 0, 0, 0, 0, 0, -1, -1, -2, 0, 1, 0, -1, 1, 1, -1, 0, -1, 2, -2, 1, 0, 4, 0, -1, 0, 1, 0, 1, 0, 0, 1, 1, -2, -2, 0, -1, -2, -1, 0, 0, -1, 1, 0, 0, 4, -1, 1, 0, 2, -1, -1, 0, 2, -1, 0, 1, -1, -1, 0, 0, 1, -2, 1, 0, 0, -1, -1, 4, -1, -1, -1, 0, 1, -1, 0, -1, 1, 0, -2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 4, 1, 0, -2, 1, -1, 1, -1, 0, 0, 1, 0, -1, -1, -1, 1, -2, 1, 0, 1, 0, -1, 1, 4, 0, -1, 0, 1, 0, 1, -2, -2, 0, -1, -2, 0, -1, 0, -1, 1, 0, 0, 2, -1, 0, 0, 4, 0, -1, 0, 1, 2, -1, -1, 2, 1, 0, -1, -2, -1, 1, 0, -1, 1, -1, 0, -2, -1, 0, 6, -2, 1, 1, -2, 2, 2, -1, 1, 1, 1, 1, 1, 1, -1, -1, 0, -1, 1, 1, 0, -1, -2, 4, 0, -1, 2, -1, 0, 2, 0, 0, -1, -2, 2, -2, 1, -2, 0, 0, -1, -1, 1, 0, 1, 0, 6, 0, 2, -2, -2, 0, -1, -1, -1, 0, 0, -1, 1, 0, 1, 2, 0, 1, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, -1, 1, 2, 1, 1, 0, -2, -1, 1, -2, -2, 2, -1, -1, 1, 1, -1, 2, 1, 4, 1, -1, -2, -1, 1, 2, 2, -1, -2, -2, 2, 0, -1, 1, 1, -2, 0, -1, 0, 1, -2, 1, 6, -1, -1, -3, -3, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, -1, -2, -2, 1, -2, -1, -1, -1, 4, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, -2, -1, 0, 4, 0, -1, -2, -2, 0, 0, 0, -2, 0, 0, -2, -1, 2, -1, 1, 0, 0, 1, -1, -3, 0, 0, 4, 1, -1, -1, -1, -1, 1, -1, -2, 0, 0, 1, 1, 1, 1, -1, 1, 2, 1, -3, 0, -1, 1, 4, 2, 1, 0, -2, -1, 1, -1, -2, 1, 0, -1, 2, 1, 0, 2, 1, 2, 0, 0, -2, -1, 2, 4, 2, 0, -1, -2, 2, 1, -1, 2, 0, -2, 1, -1, 0, 1, 1, 2, 1, 0, -2, -1, 1, 2, 4, 1, -1, -2, 1, 0, 0, 2, 0, -2, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, 0, 0, 1, 4, 2, 1, 0, 1, 0, 0, 0, 0, -1, 1, 1, -1, -2, -2, 2, -1, 0, -1, -2, -1, -1, 2, 6, 1, -1, 1, 1, -1, 0, 0, -2, 0, 2, -2, -1, -2, 1, 0, 0, 1, -1, -2, -2, 1, 1, 6, 0, 0, 1, -2, 1, 2, 1, 1, -1, -2, 1, 2, 1, 0, -2, -1, 1, 2, 1, 0, -1, 0, 4, 1, -1, 1, 1, -2, 1, 0, -1, 1, -2, 0, 2, 1, 0, -2, -1, 1, 0, 1, 1, 0, 1, 4, 0, 0, 0, -1, 0, -1, 1, -1, -2, -1, 2, 0, 0, 0, -2, -1, 0, 0, 1, 1, -1, 0, 4, -1, 0, 1, -1, -1, 0, -1, 2, 1, 0, 0, -2, 0, 1, 2, 2, 0, -1, -2, 1, 0, -1, 4, -1, -2, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 4, 0, 0, 0, -1, -1, -1, -2, -1, 0, 2, 1, -1, -2, -2, 0, 0, 2, -2, -1, 1, -2, 0, 4, 0, 1, 0, -1, 1, 0, -2, 1, -1, 1, 2, 1, 0, -1, -2, 1, 1, 0, -1, 1, 0, 0, 4, 0, -1, 1, 1, -1, -2, 0, 1, 1, 1, -1, 0, 1, 0, 1, 0, -1, -1, -1, 0, 1, 0, 4, 0, 1, -1, 0, 1, -1, 0, -1, 0, 0, 0, 1, 2, -1, -1, 1, 0, 0, -1, 0, -1, 0, 4, -1, 2, 1, -2, 0, 0, 1, 2, 1, 1, -1, -2, -2, 1, -1, -1, 1, -1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 2, 1, 0, 2, 0, 0, -1, 2, -1, 1, 0, -1, 2, 1, 2, -1, 0, 1, 6, -3, 1, 1, 1, 1, 1, 1, -2, 2, 0, 0, 0, -2, -1, 1, 1, 3, 0, 2, 0, -1, -3, 6, -2, 1, -2, -1, 1, 1, 2, -1, -2, -1, 2, -1, -1, -1, -2, -1, 1, -3, -2, -1, 1, -2, 4, -2, 0, 1, 1, -2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, -1, 1, 1, 2, 1, 1, -2, 4, 0, 1, 1, 2, 0, 0, -1, 0, 1, -1, 0, -1, 0, 0, 2, 0, 0, 2, 1, -2, 0, 0, 4, 1, 0, 0, -1, 0, 0, 1, -1, 2, -1, -1, 2, 0, 0, -1, 1, 1, 1, -1, 1, 1, 1, 4, 2, -1, 0, 1, 0, 1, -1, 2, 1, -1, 1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 4, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, -2, 2, 0, -1, 0, 4, 0, 0, -1, 0, 0, -2, 0, -1, 0, 1, 2, 0, 0, 0, -2, 2, 0, 0, -1, 0, 1, 0, 4, -2, 0, 0, 1, 1, 0, 1, 0, 0, 0, -2, 0, 0, 2, -1, 0, 0, 0, 1, 0, 0, -2, 4, -1, 1, -1, -1, 0, 0, 1, 1, -1, 1, -1, -1, 0, -2, 2, -1, 0, 0, 0, -1, 0, -1, 4, -1, 0, 0, 1, 1, -1, -1, -1, 2, 2, 2, 0, -1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 4, -2, 2, 0, 0, 1, 1, 1, -1, 0, -1, 0, 2, 0, 1, -1, -1, 1, 0, 1, -1, 0, -2, 4, -2, -1, 1, -1, 0, 0, 0, 0, 1, -2, -1, 1, -1, 2, 2, 1, -2, 1, -1, 0, 2, -2, 6, 0, -1, 1, 0, 0, -2, 1, 0, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 4, 0, 0, -2, 0, 2, 1, -1, 1, -1, 2, -1, -1, -1, 0, -1, 1, 0, 1, 0, 1, -1, 0, 4, 0, 2, -1, 1, 1, 2, 1, -2, 0, 0, 2, 1, 0, 0, 0, 1, -1, 1, -1, 1, 0, 0, 4, 1, 0, 0, 0, 1, 3, -1, 1, 0, 0, -1, 1, 1, 0, 1, -1, 1, 0, 0, -2, 2, 1, 6, 0, 0, 0, 2, 0, 1, -1, 2, 0, 0, 0, 2, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, 4, 0, 0, -1, 2, -3, 1, 0, -1, 0, 0, 0, -2, 1, 2, -1, 0, -2, 2, 1, 0, 0, 0, 6, 1, 0, 0, -2, 1, 0, 1, 0, 0, 0, 0, -1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, -1, 1, -1, 1, -1, -1, 1, 1, 2, 1, 1, 2, -1, 0, -2, 1, 0, 0, 4, -1, 0, 0, 2, -1, 1, 0, 0, -1, -1, 1, 1, -2, 1, 0, 2, 1, 1, 1, 2, 1, -1, 4, -1, 1, 0, 0, -1, 1, 1, -1, 2, 1, 1, 2, 1, -1, 0, 1, 0, 1, 0, 0, 0, -1, 4, -2, 0, 1, 0, -2, -1, 0, -2, 0, -1, 0, -1, 0, -2, -1, 0, 1, 1, 0, 0, 1, -2, 4, 1, -2, -1, 0, 2, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 2, 0, 0, 1, 4, -2, 0, -1, 0, -1, 0, 1, 0, -1, 0, -1, 2, 0, 1, 2, 2, 1, -1, 0, 1, -2, -2, 4, -1, 0, 0, -1, 1, 0, 0, 0, -1, 2, -1, 1, -1, 0, 0, -1, 1, -1, 0, -1, 0, -1, 4, 1, 0, 1, 0, 0, -1, -1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, -2, 0, -1, 0, 1, 4, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, -1, -1, -1, -1, 0, 1, -1, 2, 0, 0, 0, 0, 4, 0, 1, -1, -1, -1, -1, -1, 0, 1, 1, 0, 1, -1, -1, -1, 0, 1, -1, -1, 1, 0, 0, 4, -2, -2, -2, 0, -1, -1, 0, -1, 0, -1, -1, 1, -1, 2, -2, 0, 0, 1, 0, 1, 1, -2, 6, 0, 1, 0, 1, 1, 2, 2, -1, 1, 0, 1, 1, 1, 0, -1, 1, 0, 0, 1, -1, -2, 0, 4, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, -1, 0, 0, 0, -1, 1, -1, -2, 1, 1, 4, 0, 2, 1, 0, 0, -1, 1, 0, 1, -2, 2, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 0, 4, 0, -1, -2, 0, 0, -1, -1, 1, 1, 1, -1, 0, 0, -1, 1, 1, -1, -1, 1, 1, 2, 0, 4, 1, 1, 0, 0, 1, 0, 2, 0, -1, 0, -1, -1, 2, 0, 1, -1, -1, 1, 0, 1, -1, 1, 4, 0, 0, -2, 1, 0, -1, 2, 0, -2, 0, 2, -1, 2, 2, 0, 0, 2, 1, 0, -2, 1, 0, 6, 2, 1, 1, 1, 0, 1, 1, -1, 0, 0, 1, 0, 1, 1, -1, 2, 1, 0, 0, 0, 0, 2, 4, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, 1, -1, 1, 0, -1, 1, -1, 0, 0, -2, 1, 0, 4, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, -1, 0, -1, 1, 0, 1, -1, 1, 1, 1, 0, 0, 6, 1, 0, 2, 0, 1, 0, 2, 0, 0, -1, 1, -1, 0, 1, 0, -1, 0, 0, 1, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 1, 0, 0, -1, 0, 2, -2, -1, 2, 0, -2, 2, 6, 1, -1, 2, 1, 2, -2, -2, 1, -1, -1, 1, -1, 2, -2, 0, 1, -1, -1, -1, -3, 0, 1, 4, 0, -1, -1, 0, 0, 0, -1, -1, -1, 1, -2, -1, -1, 0, 1, 0, -1, -1, 0, 0, -1, 0, 4, -2, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, -1, -1, -1, 1, 1, 2, -1, -1, 2, -1, -2, 6, 3, 2, 1, 1, 3, -1, -1, 1, 0, 3, 1, -2, 0, 1, 0, -1, 1, -1, 1, -1, 0, 3, 4, 1, 0, 1, 2, -1, 0, 1, 1, 2, 0, -2, 1, 0, -1, 0, 0, 0, 2, 0, 0, 2, 1, 4, 1, 1, 1, -2, -2, 0, -1, 3, 0, 0, 0, 1, 0, 0, -2, -1, -2, 0, 0, 1, 0, 1, 4, 1, 0, -1, -1, -1, -1, 1, 2, 0, -1, 2, 1, 1, 2, -1, -2, 0, 0, 1, 1, 1, 1, 4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 3, 2, 1, 0, 1, 4, 0, -1, 1, 1, 2, 0, -2, 1, 0, -1, 0, 0, 1, -1, -1, -1, -1, -1, -2, -1, 0, 0, 4, 2, 0, 2, -2, 1, 1, -1, -2, 1, -1, 0, 1, -1, -1, -1, -1, 0, -2, -1, 0, -1, 2, 4, 0, 2, -2, 1, 1, -1, -2, 1, -1, 0, 0, 1, 1, 1, 1, 1, 0, -1, 1, 1, 0, 0, 4, 0, 1, 0, -1, -1, -1, 1, 0, 0, 0, -1, -2, 0, 0, 1, -1, -1, 0, 1, 2, 2, 0, 4, 0, 1, -1, 0, -1, 0, 0, -1, -1, 2, -1, 1, 3, 2, 3, 1, 0, 2, -2, -2, 1, 0, 6, 0, -2, -1, 1, 0, 1, -1, 0, -2, -1, -1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 4, 1, -2, 0, 2, 0, 2, 2, 0, 0, -1, -2, -2, 0, 0, 0, -2, 1, 1, -1, -1, -2, 1, 4, -1, -1, 1, 0, 0, -2, 1, 1, -1, 0, 1, 0, -1, 0, 1, -1, -1, -1, 0, -1, -2, -1, 6, 0, -4, 0, 0, -1, -1, 0, 1, 1, 0, 1, 2, 0, 0, -2, -2, -1, -1, 1, 0, -1, 0, 4, 0, 1, 1, 2, -1, -1, 1, 0, -1, 0, 1, 0, -1, 1, 1, 1, 0, 0, 2, 1, -4, 0, 6, 1, 0, 0, -1, -1, 2, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 1, 1, 4, 0, -2, -3, 0, -1, 1, 0, -2, 2, 1, 0, 0, 0, 0, -1, -1, 2, 0, 0, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, -1, 1, 1, 1, -1, 1, 0, 1, -2, 0, 0, 0, -2, 0, 2, 0, 1, -2, 4, -2, 0, -1, -1, 1, -1, -2, 2, 0, 0, -1, 0, -1, -1, 0, 1, -1, -1, -1, 1, 2, -2, 4, -1, 2, 1, -1, 0, 0, 0, 0, -1, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, 4, 1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, -1, 2, 2, 1, -2, 2, 0, 1, -1, 2, 1, 4, -1, -2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, -1, -1, 1, -1, -1, 4, -1, 0, 1, -1, -1, -1, 0, 1, 0, 0, -1, 1, 0, -1, 0, -1, 1, 1, -1, -1, -2, -1, 6, 1, -1, 2, -1, 0, -2, -3, -2, 0, -2, 0, 0, 0, 0, 1, 1, -1, 0, -1, 0, 0, 1, 4, 2, -2, -1, 1, 0, 0, 1, 2, -1, -2, 1, 2, -1, -1, 1, -2, 0, 0, 0, 1, -1, 2, 6, -4, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, -1, -1, 2, 0, 0, 0, -1, 2, -2, -4, 6, -1, -1, -1, -1, -2, 0, 0, 2, 1, -2, 0, 2, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 4, 0, 0, 0, -1, -1, 1, -2, -2, 1, 0, 1, 0, 0, -1, 1, 1, -1, 0, 1, 2, -1, 0, 4, 0, 0, 2, -1, 1, 1, 0, -1, 1, -1, 1, -1, 1, 1, 2, 0, -2, 0, 2, -1, 0, 0, 4, 0, 1, 0, 1, 0, 1, 0, 0, 1, -2, 0, 0, 1, 0, 1, -3, 0, 0, -1, 0, 0, 0, 4, 1, 0, 0, 1, 0, -1, 0, -1, 0, -1, 1, 1, 2, 0, -2, 1, 2, -2, -1, 2, 1, 1, 4, 0, 0, 1, 1, -1, 1, -2, 0, -1, 0, -1, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0, 0, 4, 0, -2, 1, 2, -1, 0, 0, 0, -1, 2, 1, -1, -2, -1, 0, 0, 1, 1, 1, 0, 0, 0, 4, 0, 0, 0, 1, 1, -2, 1, 0, 2, 0, 1, 0, -2, 0, 2, -2, 1, 0, 1, 1, -2, 0, 6, 1, -4, 2, 0, 0, -1, 1, 1, 2, 0, 0, 1, 0, 1, -2, 0, 1, 0, 1, 1, 0, 1, 4, -1, 0, 0, 2, -1, 0, -2, 0, -1, 0, 2, 0, -2, 1, -1, 0, -1, -1, 2, 0, -4, -1, 6, -1, 0, 0, -1, 0, 2, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 2, 0, -1, 4, -1, 1, 1, 0, 0, 0, -1, 1, -1, -1, 2, 1, -1, 1, -1, -2, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 1, 1, 1, 1, -1, -2, 1, 1, 1, 0, 1, 0, 0, -2, -2, 2, 1, 1, -1, 4, -1, 0, -2, -2, -2, -2, 1, 0, -2, 1, -1, 0, 0, 1, 0, 0, 0, -2, 1, -2, 0, -1, 4, 0, 0, 1, -1, -1, 0, 0, 2, 1, -1, -1, 0, -1, 1, 1, -1, 2, 1, 0, 2, 0, 0, 4, 1, 1, 0, -1, -1, -2, 1, 2, 0, -1, 2, 1, 1, -2, -2, 1, 2, -1, 1, -2, 0, 1, 4, 0, 0, 2, -2, 0, 2, 1, 2, -1, 0, 1, -1, -1, -1, 0, 1, 0, 1, -2, 1, 1, 0, 4, 2, 1, -1, -1, 2, -1, -1, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, -2, -1, 0, 0, 2, 4, 2, -1, -1, 0, -2, 1, 1, 1, 0, -1, -1, 0, 0, -2, 2, 1, -2, -1, -1, 2, 1, 2, 6, -1, 1, 2, -2, 2, -1, 0, 1, -2, -1, 0, 0, -2, 0, -1, 1, 0, -1, -2, -1, -1, -1, 4, 1, -1, 0, -1, 0, 0, 0, 2, 1, 1, 0, 0, 1, -2, 0, 0, -2, 0, -1, -1, 1, 1, 4, -1, 0, 0, -1, -2, 0, 0, 2, 2, 0, 0, -1, 1, -2, 2, 1, 2, 2, 0, 2, -1, -1, 6, -1, 0, -1, 1, 0, 1, 0, -1, 2, -1, 0, 1, 1, 1, 2, 1, -1, -2, -2, 0, 0, -1, 6, -1, -1, -1, 1, 1, 0, -1, 1, 3, -2, 1, -1, -1, 0, 2, -1, 1, 2, -1, 0, 0, -1, 4, 0, 1, 0, -1, -1, -1, 0, 1, 2, 0, 0, -1, -1, -1, -1, 1, -1, 0, -1, -1, -1, 0, 4, -1, -1, 0, 0, 0, 0, -1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, -2, 1, -1, 1, -1, 4, 0, 0, -2, -1, 0, 0, 1, 0, 1, -1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 4, 0, -1, -1, -2, 1, -1, 0, 0, 1, 1, -1, 0, -1, -2, 2, 0, 1, 1, -1, 0, 0, 0, 4, 1, 0, 2, 1, 1, -2, 0, 1, -2, -1, 0, -1, -1, 1, 2, 0, 0, -1, 0, -2, -1, 1, 4, 2, 1, 0, 0, -2, 0, -1, -2, -1, 0, 0, 0, 1, 2, -1, -1, -1, 0, -1, -1, 0, 2, 4, -1, -2, 0, 2, -2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, -2, 2, 1, -1, 6, 1, 1, 1, 1, 1, 2, 1, -1, -2, -2, 0, 0, -1, 3, 1, -1, 0, 1, 1, 0, -2, 1, 6, -1, 1, -2, 0, -1, 0, 0, 2, 0, 1, -1, 0, -2, 2, 2, 1, -1, 1, 0, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 1, 0, -1, 1, 1, 0, 1, 2, -1, 2, 1, -1, 2, 0, 0, 1, 0, -1, -2, 2, 4, 0, 0, -1, 1, -1, 0, 1, 1, 2, -1, 0, 0, 0, 0, -1, -1, -1, 1, -1, -2, 1, 0, 4, 0, 0, -2, 0, 0, 1, 0, 1, -1, 0, 2, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 4, 1, -1, 1, 2, -1, 2, 0, -1, 2, 0, 0, 2, -1, 1, 0, -1, 0, 1, 0, -1, 0, 1, 6, -2, -2, 0, 2, -1, 1, -1, -2, 2, -2, -2, 2, 0, -1, 0, 1, 0, -1, 1, -2, -1, -2, 6, -2, -2, 0, -1, 0, -1, 1, -1, 2, 0, -1, 1, -1, -1, -1, 0, 1, -1, 0, 1, -2, -2, 6, 1, -3, 0, -2, 1, 3, -2, -1, 3, 1, 1, 3, -1, 1, 0, 1, 0, 0, 2, 0, -2, 1, 4, 0, 2, 0, 1, 1, 0, 1, 2, -1, -1, 0, 1, -1, 0, 0, 1, 1, -1, 2, 0, -3, 0, 4, -1, 1, -1, -2, 2, 0, -2, 0, -1, -2, 1, -1, -1, 1, 1, 0, 2, -1, -1, 0, 2, -1, 4, 1, 0, 1, 0, 1, 2, -2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, -2, 0, 1, 1, 4, -1, 0, 1, -1, 0, -1, -1, -1, 1, 0, -2, -1, -1, -1, -1, -1, -1, 1, 1, -1, 0, -1, 4, -1, -1, 0, 0, 1, -2, 1, 2, 0, 0, 2, 0, 0, 2, -2, 1, 3, 1, -2, 1, 0, -1, 6, -1, 0, 4, -1, 1, 1, -2, 0, 0, 1, 0, 2, 0, 2, -1, -2, 0, 2, 0, 1, -1, -1, 4, -1, -1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, -2, 2, -1, 1, 0, 1, -1, 0, 0, -1, 4, 0, -2, 0, 0, 0, -2, 1, 2, 0, -1, 2, -2, 0, 3, 2, -2, 2, 0, 0, 4, -1, 0, 6, 0, 1, 1, -1, 0, 0, 0, -1, -1, -1, 2, -1, 1, -1, 0, -2, -1, 1, -1, 0, -2, 0, 4, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 1, -1, -1, 0, -1, -2, 1, 0, 0, 1, 0, 4, 1, -2, 1, 1, 1, -1, 0, 0, -1, -1, 3, 0, -2, 0, -1, 1, 1, -1, 0, 1, 1, 1, 4, -1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 1, 1, 0, 1, 2, -2, 0, 0, -1, 0, -2, -1, 4, 0, -1, -1, -1, 0, 0, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, 0, 4, 0, -2, -2, 0, 1, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 2, -2, 0, -1, 1, -1, -1, 2, -1, -1, 0, -1, 1, 1, 0, 0, -1, -1, 0, 4, -1, -2, -1, 1, -1, -2, 2, 1, 2, 1, -2, -2, 0, -2, -1, 1, 1, -1, -1, 2, 1, -1, 4, 2, 0, 0, 2, 1, -2, -1, 0, 0, 0, 1, 1, 0, -1, 0, -2, 0, 0, -2, -1, -2, 2, 4, 0, 1, 2, 2, -2, 0, 0, -1, 1, 2, 1, 1, 0, -1, -1, 0, 1, -2, 2, -1, 0, 0, 4, -2, 1, 0, 1, 0, -1, 1, 1, -1, -1, 0, 1, 1, 0, 1, -1, 0, -2, 1, 0, 1, -2, 4, -1, 1, 0, 0, 1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 1, 1, 0, -1, 2, 2, 1, -1, 4, 0, -2, 0, 1, -1, 1, 0, 1, -1, -1, 1, -1, 0, -1, -1, -1, -2, 1, 2, 0, 1, 0, 4, -2, -1, -1, 0, 2, 1, -1, 2, 1, -1, -1, 0, 1, 0, 1, 2, -2, -2, 1, 0, -2, -2, 6, 2, 1, 1, -1, -1, 0, -1, -1, 1, 0, 1, -1, 0, -1, 1, -1, 0, 0, 0, 0, -1, 2, 4, 1, -1, 0, -1, 0, -1, -1, 1, -1, 1, -1, -1, -1, 2, 0, 0, -1, 1, 1, -1, 1, 1, 4, -1, -1, -1, 0, -1, -2, 1, 0, -1, -1, 0, 2, 1, 0, -1, 1, 0, -1, 0, 1, -1, -1, 4, -1, -1, -1, 0, 1, 1, 1, -1, -1, 2, -1, -2, 0, 1, 1, 0, 1, 2, -1, 0, -1, -1, 4, 1, 0, 1, 0, -1, -1, 1, 1, 0, -1, -2, 1, 2, -1, 1, 0, 1, -1, -1, -1, -1, 1, 4, 1, 1, 0, -2, 0, 0, 2, -2, 0, 0, 1, 1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 1, 4, -1, -1, 0, -1, 0, 1, -1, -1, -2, 0, 1, 0, 1, -1, 2, -1, -1, -1, 0, 1, 1, -1, 4, 1, -1, 0, 0, 1, 0, 1, -1, -1, 0, 1, -1, -1, 1, -1, -1, -2, 1, 0, 0, -1, 1, 4, -1, 1, 0, 1, 0, 1, 1, 0, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -2, 0, -1, -1, 4, 0, 0, -2, 1, 0, 1, -2, -1, 0, 0, -1, -1, 0, -1, 0, 1, -1, 0, -1, 0, 1, 0, 4, -2, 0, 2, 0, -1, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -2, 4, 1, -1, -1, -1, 0, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 2, 1, 1, 1, -2, 0, 1, 4, -1, -1, 2, -2, -2, 0, 1, -1, 0, 0, -1, 0, 2, 0, -2, -1, 0, 0, 1, 2, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 2, 2, 2, -1, 1, -1, -1, 0, 2, -1, 0, -1, -1, -2, 1, 1, 0, -2, 1, 4, -2, -1, 0, 0, 2, 0, 1, 0, 1, 0, -1, 1, 0, -2, -1, -1, 1, 2, 0, 0, -2, -2, 6, -2, -1, 0, -1, 0, 0, -1, 0, -2, 1, 2, 1, 1, 0, 1, 0, 0, -1, 0, 2, -1, -2, 6, 0, 1, 1, 1, 1, 0, 0, 1, 3, -1, -2, 1, -1, -2, 1, 0, 2, -1, 2, 0, -1, 0, 4, 0, 0, -2, 1, 0, -1, -1, 0, -1, 1, -1, -1, 0, 1, 0, -1, -1, 2, 0, 0, 1, 0, 4, 0, -1, -1, -1, -1, 1, 1, 0, 0, 1, 1, -1, -1, 0, 0, -2, 2, 2, -1, 1, 0, 0, 4, 0, 2, -1, 0, 0, 1, 1, 0, -2, -2, -2, 2, 2, 1, -1, -1, 0, 0, 1, -2, -1, 0, 4, 1, 0, 0, 0, 1, 0, -2, 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, 1, 1, -1, 2, 1, 4, 0, 0, -1, 1, 1, 0, -2, -2, -2, 2, 1, 0, -1, -1, 0, -1, 0, 0, -1, -1, 0, 0, 4, 1, 1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 0, 0, 1, 4, -1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, -2, 1, -1, 1, 0, 0, -1, 1, -1, 4, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1, 2, -1, 1, 3, 0, 1, 1, 1, 1, 0, 0, 0, 6, -1, 0, 0, -1, -2, 2, 1, 0, -1, -1, 1, 2, -1, -1, 0, 1, 0, 1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, -2, 1, 0, 0, -2, 0, 1, 0, -1, 0, 0, 4, -1, -1, 0, 1, 1, -1, 0, -1, -2, 1, 1, -1, 1, -2, 0, -2, 0, 0, 0, 0, 0, -1, 4, 2, 1, -2, -1, 1, 1, -1, -1, 0, -1, -1, 1, -2, 0, -2, -1, 0, 1, -1, -1, -1, 2, 4, 1, -2, -2, 0, 1, -2, -1, 1, -2, 0, -1, -2, -1, -2, 1, 1, 0, -2, 0, 0, 1, 1, 4, -1, -1, 0, 1, 1, 1, 0, 1, 1, -1, 2, 0, 2, 0, 1, -1, 2, 0, 1, -2, -2, -1, 4, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, -1, 1, 1, 1, -1, -2, -1, 1, 4, 1, 0, 0, 0, -1, 2, -1, 0, 1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, 1, 4, 0, -2, 0, 0, -1, -1, -2, -1, 1, -1, 0, 1, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 0, -1, -1, -2, 2, -1, -2, -1, -1, 1, 0, 0, 1, 1, -2, 1, -1, -1, -2, 4, 1, 1, -1, 0, 1, 0, -2, 1, 2, 0, 2, 0, 1, -1, -1, 1, 1, 1, 0, 0, 0, 1, 4, 2, 0, 0, 2, 0, -2, -1, 2, 1, 0, 1, -1, -1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 4, 0, 1, 2, -1, -2, -1, 2, -1, -1, 0, 0, -2, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0, 4, -1, 0, 0, 1, -1, 1, 0, 0, 1, -1, 0, -1, 1, -1, -2, 1, -1, -1, 0, 0, 1, -1, 4, 0, 1, -1, -1, 0, 1, -1, -2, 1, 0, 1, -1, 1, 0, -1, 1, -1, 1, 2, 2, 0, 0, 4, 1, -1, -1, 1, 0, -1, 0, 0, -2, -1, 0, 1, 0, 1, 1, -2, 0, 0, -1, 0, 1, 1, 4, -1, 0, 1, 2, 0, 0, 0, 0, 0, -2, 2, 0, 1, 0, 2, -2, -2, -2, 1, -1, -1, -1, 6, 0, -4, -1, -1, 0, 1, 2, 1, 0, -1, 0, 1, -1, -1, 1, -1, -1, -1, -1, -1, 0, 0, 4, -1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, -1, -2, 2, 2, 2, 1, 0, 1, 1, -4, -1, 6, 1, 1, 0, -2, -1, -2, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1, 0, 2, -1, 0, 1, 4, 0, 0, -1, 1, 1, -2, 0, 0, 1, 0, -1, 2, 0, -1, 0, -1, -1, 0, -1, 1, 1, 0, 4, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 4, -1, 0, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, -1, 1, 0, 0, 1, 1, -2, -1, 1, -1, 4, -1, 0, 0, 2, 1, -1, 0, 0, -1, -1, -2, 0, 0, -2, 0, 2, 1, -1, 1, 0, 0, -1, 4, 2, -1, -1, 0, 1, 0, 1, -1, 1, -1, -1, 1, -1, 0, 1, 0, -2, 1, 0, 0, 0, 2, 4, -1, 0, 1, 0, 1, 1, 1, 0, 1, 1, -1, 0, -2, 0, 0, 0, -2, 0, 1, 0, -1, -1, 4, -1, 0, 0, -1, -2, 1, 0, 0, -1, 1, 1, 2, -1, 1, 0, 0, 1, -1, 2, -1, 0, -1, 4, 0, 0, 1, 1, 1, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 4, 0, 0, -1, 0, 0, -1, 1, -1, 1, 1, 1, 1, 0, 1, 0, 1, -1, 1, 0, 0, 0, 0, 4, -1, -1, 0, 1, 1, -1, 1, 1, 0, -1, -1, 0, 0, 0, -1, 0, 0, 1, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, -2, 2, -2, 1, -2, -1, 0, 1, 2, 1, -1, -1, 1, 2, 1, -2, -1, 1, -1, 4, 2, -1, 1, -1, 2, -2, 2, 1, 0, 1, -1, -1, 1, 0, -2, -2, 1, 2, 2, 1, -2, 2, 4, 1, 2, -1, 2, -2, 2, 2, 0, 1, -2, -2, 1, 1, -1, -2, 0, 2, 0, -1, -1, -1, 1, 4, 2, -1, 1, -1, -1, 1, 0, 0, -2, 0, -1, 2, 1, -1, 0, -1, 0, -2, -2, 1, 2, 2, 4, -2, 2, -2, 1, 2, 0, 0, -1, 0, 1, 1, -1, -2, 0, 1, 0, -1, 2, -1, -1, -1, -2, 4, -2, 1, -2, -2, 1, 1, 2, 0, 0, 0, 1, 2, 0, -2, 0, 1, -2, 2, 2, 1, 2, -2, 4, -2, 2, 2, -1, 1, -2, -1, 1, 1, -2, -2, 1, 2, 1, 0, 1, -2, -2, -1, -2, 1, -2, 4, 0, -1, 0, -1, 2, 1, -1, 0, 2, 1, -1, 0, 0, 1, -2, 2, 2, -1, 1, -2, 2, 0, 6, 3, -2, 0, 0, -1, 1, -1, -1, -2, 0, 4, 0, 1, -1, 1, 2, 1, 2, -2, 2, -1, 3, 6, 0, 1, 0, 1, -1, 1, -1, -2, -1, 2, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 4, 1, 0, 1, -1, 1, 1, 0, 0, -2, 2, 0, 1, 1, 1, 0, 0, 1, 1, -1, 0, 1, 1, 4, -1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 2, -1, -2, -2, -1, 2, -2, 2, 0, 0, 0, -1, 6, 2, 0, -1, 1, 2, 0, -1, 0, 2, 1, -1, -2, 0, 0, 0, -1, 1, -1, 1, 1, 0, 2, 4, -1, 0, 1, 0, 0, -1, 1, 1, -1, 1, 1, -1, 1, 0, 1, -1, 1, -1, -1, -1, 0, -1, 4, -1, -2, -1, 1, 2, -1, 1, -1, 0, 1, 2, 1, 0, 1, 0, -1, 1, 1, 0, -1, 0, -1, 4, 1, -1, -1, 0, 2, 0, 1, -2, -1, 1, -1, 1, -2, 2, -1, -1, 1, 0, 1, 1, -2, 1, 4, 1, 0, -2, 0, 0, 2, -2, -2, -1, -2, 2, -2, 1, -2, -2, 0, 0, 2, 0, -1, -1, 1, 4, 0, -2, -1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 0, 4, -1, 0, 1, -2, 2, 2, -1, 1, -2, 2, 0, 4, 2, -2, -1, -1, -1, 2, 0, -2, -2, -1, 6, 1, 1, -1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, -1, 2, 0, -1, 0, 1, 6, 1, 1, 1, -1, -2, -1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, -2, 1, 0, 1, -1, 1, -1, -1, 1, 2, -2, 0, -2, -2, 0, 0, 4, -1, -1, 1, 2, 2, -1, -2, 0, 1, 1, 1, 2, -1, 1, 0, 0, 1, 1, 2, 1, 1, -1, 4, 0, 0, 0, 1, -1, 2, 1, 1, -1, 1, 0, -1, 1, -1, -1, 1, 0, -2, -1, 2, -1, 0, 4, -2, -1, 0, 0, 2, -1, -1, 0, 0, -1, 0, -1, 1, -1, -1, -2, -1, 1, -2, 1, 0, -2, 4, 2, 1, 0, -2, 0, 0, 0, -1, 1, 1, 0, -2, 2, 1, 2, 1, 0, -1, 2, 0, -1, 2, 4, 2, 0, -1, 0, 0, 0, 1, 2, -1, 0, -1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 4, -2, -1, 1, 1, 0, 1, 2, -1, 0, 0, -1, 1, 0, 1, 0, -2, -1, -1, 0, 0, 0, -2, 4, 1, 0, -1, 1, -1, -1, 0, -1, 0, 2, 0, 0, 1, 0, 1, -2, 2, 2, -2, -1, -1, 1, 6, -1, -1, 0, 1, -1, -1, 0, 1, -1, 0, -1, -3, 1, 0, 0, 1, -1, 0, 0, 1, 0, -1, 4, 0, -1, 1, 0, -1, 0, 0, -1, 1, 0, 0, -1, 1, 1, 1, -1, 0, 0, 1, -1, -1, 0, 4, 1, 1, 0, -1, 2, 1, 0, 1, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 4, 0, 0, -1, 1, 0, 1, -1, 0, 2, 2, 1, 1, 1, 0, -1, 1, 1, -1, 1, 1, 1, 0, 4, 0, -1, 1, 1, -2, 2, 0, 0, 1, -1, 2, 0, -1, 1, 2, 2, -1, -1, 0, 0, 0, 0, 4, -1, 0, -1, 0, 0, 1, 2, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, -1, -1, -1, -1, -1, 4, -2, -1, 0, 0, 1, -1, 0, 1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 2, 1, 1, 0, -2, 4, 1, 0, 0, 0, 0, 1, 2, 0, -1, 1, -2, -1, 0, 0, 1, 0, 1, 0, 1, -1, -1, 1, 4, -1, 0, -2, 0, 1, -2, 0, -1, -1, 2, 1, -1, 2, -1, -1, 0, 1, -2, 0, 0, 0, -1, 4, 0, 1, 2, 0, 0, 1, 1, -1, 1, 2, 1, 0, 0, 1, 1, -1, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 1, 0, -2, 2, 1, 0, 0, -1, 0, -1, 0, 0, 1, 1, 0, -2, 1, 0, 4, 1, 0, -2, 2, -2, -1, 1, 2, 1, 1, -3, 0, 1, 2, 0, 2, -1, 0, 0, 2, 0, 1, 6, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, -1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 2, 2, -2, -1, 1, -2, -2, 0, 1, 2, 1, -1, -2, -1, -2, 2, 2, 1, 2, -1, 4, 0, 0, 0, 2, 2, 0, 1, 1, -1, 1, -2, 1, 0, -1, -1, 1, -1, 0, 1, -2, 2, 0, 4, 2, 2, -2, 1, 2, -2, -2, -1, 1, 1, 1, -1, -2, -2, -2, 2, 2, 0, 1, 2, 0, 2, 4, 2, -1, -1, 1, -2, 0, 0, 1, 0, 0, -1, -2, -1, -1, 1, 1, 1, 2, 2, 0, 2, 2, 4, -2, 1, 1, -2, -2, 0, 2, 1, 1, -2, -2, -2, -2, 2, 2, 0, 0, -2, 2, -2, -1, -2, 4, 0, -1, 2, 2, 0, 0, -2, 0, 1, 1, 1, 2, -2, -1, 0, -2, -1, 2, 1, -1, 1, 0, 6, -1, 0, 0, 0, 0, 1, 2, -2, 0, -1, -1, -1, 0, -1, -1, 1, 0, 2, 1, 1, -1, -1, 4, -1, -1, -2, 2, -1, -1, 1, -1, -1, -1, 1, 1, 0, -1, -2, 1, -2, -2, -2, 2, 0, -1, 4, 2, 0, -1, -1, -1, 1, 1, 0, 2, -1, -1, -1, -1, -2, 1, -2, 0, -2, 2, 0, -1, 2, 6, -1, -1, -3, -1, 1, 1, 2, 3, -2, -2, -1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 0, -1, 4, -1, 2, 0, 0, 0, 1, -1, 0, -1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, -1, -1, -1, 4, 0, 1, -1, -2, -1, -1, 1, 1, 1, -2, 2, -2, 1, 0, 1, -2, 1, -1, -1, -3, 2, 0, 6, 2, -2, -1, 0, -2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, -1, -1, -1, 0, 1, 2, 4, -2, -1, 0, -1, 1, 1, 1, 0, -1, 0, -1, -1, -2, 1, -2, 1, 1, 1, 0, -1, -2, -2, 4, 1, 1, 1, -1, -1, 0, 0, -2, -1, -2, -2, -2, 1, 0, -1, 1, 1, 0, -2, -1, -1, 1, 4, 2, 1, -2, -1, -1, 0, -1, -1, -2, -1, -2, 1, -1, -1, 0, 2, 1, -1, 0, 0, 1, 2, 4, 1, -1, -2, 0, 1, -2, 1, -2, -1, -2, 2, -1, -1, 2, 3, -1, -1, -2, -1, 1, 1, 1, 4, -1, -1, 0, -1, 2, -1, 2, 1, 2, -2, -1, 1, -1, -2, 0, 1, 2, 1, -1, -2, -1, -1, 4, 1, 0, 1, 2, 0, 2, 1, 2, -1, 0, 1, -1, -2, -1, 1, 0, 1, -1, -1, -2, -1, 1, 4, 1, 0, 1, 1, 0, 1, 0, 0, -1, 0, -1, -1, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 4, 0, 2, -2, 1, 2, 0, -2, -1, -1, -1, 0, 2, -2, 2, 0, 0, 0, 1, -1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, -1, 2, -1, 0, 1, 1, 2, 1, -1, -1, -1, -1, 1, 1, -1, 2, 1, 4, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, -1, 0, -1, 0, -1, 0, 2, 2, 1, 1, -1, 0, 4, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, -1, -1, 2, 0, 1, 1, 1, 0, -1, 0, 0, 4, 0, -2, 2, -1, 2, -1, 0, -2, -2, 1, 0, -1, -1, 2, -1, 0, 1, 0, 1, 0, 0, 0, 4, -1, -1, -1, -1, -1, 0, -1, 2, 2, -1, 0, 1, 1, -1, 0, 0, 1, 1, 0, 0, -2, -1, 4, -2, 2, -1, 0, 0, 1, 2, -1, 1, 0, 0, -2, 1, 0, -1, 1, -1, 0, 1, 2, -1, -2, 4, -1, 2, 0, 1, 0, -2, 0, 0, 0, -1, 1, 0, 1, 0, -1, 2, 2, 0, -1, -1, 2, -1, 4, -1, 1, 1, 1, 1, 0, -1, 0, -1, -2, 2, 1, 0, 2, -1, 0, 1, 2, -1, -1, 2, -1, 4, 0, 1, 0, -2, 0, 0, 0, -1, 2, 0, 1, 0, -1, 0, 1, 1, -1, -1, 0, 0, 1, 0, 4, 0, 0, 0, 0, -1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 4, 0, 0, -1, 0, 0, -1, 0, 1, 2, 0, 1, 1, 0, 0, -2, -1, 1, 0, 1, 0, 0, 0, 4, 1, -1, -1, 0, 0, -1, 1, 0, -2, -1, 2, -1, 1, -2, 2, 2, -2, 1, -2, 0, 0, 1, 6, 0, 0, -1, 2, -2, 1, 0, -1, 2, 1, 0, 0, 1, 2, -1, 0, 0, 0, 0, -1, -1, 0, 4, -2, 0, 0, 1, -1, 0, 1, 1, -1, -1, -1, 0, -1, 1, 0, -1, 0, -1, 0, -1, 0, -2, 4, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, -1, 0, 0, 0, -1, -1, 2, -1, 1, 0, -1, -1, -1, 1, -1, 0, 2, 0, -1, 0, 4, 0, 0, -1, 1, 0, -1, 0, 0, 2, 1, -2, 1, -2, 2, 0, 0, -1, -2, 1, -1, 0, 0, 4, -1, 0, 1, -1, 1, 2, 1, -1, -1, 1, 0, 2, 0, 2, 1, 1, 1, -1, 0, -1, 0, -1, 4, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 1, 4, 1, 1, -1, 1, 1, 1, 0, -1, 0, 0, 0, 1, 0, -2, -1, 1, -1, 0, 1, 1, 0, 1, 4, 0, 2, 1, 0, 0, 1, 1, -1, 2, -1, 0, 1, -1, 2, 1, 0, 0, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 0, -1, 1, -2, 0, -2, 0, -1, -2, 1, -1, 1, 2, 1, 2, 0, 1, 2, 4, -2, 1, -1, 0, 0, 0, 0, 1, -2, -1, 0, -2, 0, -1, 1, 2, -1, 0, -1, 2, -1, -2, 6, -3, 2, -1, -2, -2, 0, -3, 2, 0, -2, 0, -2, 1, 1, -2, -1, 1, 1, 0, 2, 1, -3, 6, -1, 2, 1, 1, 0, 3, -1, 0, 1, 0, 1, -2, 1, 1, 2, 1, 1, 0, 0, -1, 2, -1, 4, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 4, 1, -1, 0, 2, 1, -1, 0, -1, 1, 0, -1, 0, 1, 0, -1, 0, -1, 0, -2, 1, 0, 1, 4, 1, 2, 3, -1, -1, 2, 1, 1, 1, -1, 0, 1, -1, -1, -1, 1, 0, -2, 1, -1, -1, 1, 4, -1, 1, -1, 1, 1, 1, 0, 0, -1, 0, 1, 1, 0, -1, -2, 0, 0, 0, 1, 0, 2, -1, 4, 2, 0, -1, 1, 1, 0, 1, 0, 0, -1, -2, 0, 0, 0, 1, -3, 3, 0, 2, 3, 1, 2, 6, -1, 0, 2, 0, 2, 1, -1, 1, 1, -1, 0, -1, -2, -2, 2, -1, 0, 1, -1, -1, 0, -1, 4, 1, 0, 1, -1, 0, 0, -2, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, 1, -1, 0, 1, 4, 1, 1, 0, -1, 1, -1, 1, 1, 1, -2, -1, 0, -2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 4, 1, 0, 0, 0, -1, 0, -1, 0, -1, -2, -2, 0, 0, 0, -1, 1, 1, 1, 0, 1, 1, 1, 4, 0, 0, 0, -2, 1, 0, 1, -1, 1, 0, -2, 1, 1, 1, 1, 0, 0, 2, -1, 0, 0, 0, 4, 0, -1, 1, 2, 0, -1, 0, -1, -1, 1, -2, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 0, 4, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, -1, -1, -1, 0, -1, 0, 1, 0, 0, -1, -1, 4, 0, 0, 1, 1, 1, 2, 2, -2, 1, 0, 0, 0, 0, 0, 1, -2, -1, -1, -2, 1, 0, 0, 4, 0, 0, 0, 1, 1, -1, -1, 2, 0, 1, 1, 1, -1, 1, 0, 1, 0, 1, 2, -1, 0, 0, 4, 1, 0, -1, 2, 0, 1, 1, 0, 0, -1, 1, -2, -1, 0, 1, -1, 0, 0, -1, 1, 0, 1, 4, 1, 0, 0, -1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0, 1, 0, 0, 1, 4, -1, 1, 2, 0, 0, 0, 0, -1, -1, 0, -1, -1, -2, -1, -1, 0, 0, 1, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 2, -1, 1, 0, 0, -2, 0, 0, 1, -1, 0, 2, 2, 0, -2, -1, 1, -2, 4, -2, 2, 2, -1, 1, -1, 0, 1, 2, 0, 1, -1, 0, -1, -1, -2, 0, 2, 0, 0, 2, -2, 4, -2, -1, 0, -1, 0, 0, -1, -2, 1, 0, 1, 0, 1, 1, 2, -1, -2, 1, 1, -2, 2, -2, 4, 2, -1, 2, -1, 1, 0, 2, -1, -1, -1, 1, -1, -2, -2, 1, 2, -1, 0, -2, 2, -1, 2, 4, -2, 2, -1, 0, 0, 2, -1, 1, 0, 0, -1, -2, -2, 0, 2, 0, -1, 2, -1, 0, -1, -2, 4, -1, 2, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, 1, 0, -1, 1, -1, 1, -1, 2, 2, -1, 4, -1, 0, 1, 0, -2, 0, 0, -1, 0, -1, -2, 1, 0, -1, -1, 1, -1, 0, -1, -1, 2, -1, 4, 0, -1, 1, -1, -1, 2, -1, -1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, 2, 0, -1, 0, 0, -2, -2, 1, 2, 2, 0, 2, 0, 1, -1, 0, 0, 0, 1, -1, 0, 4, -1, -1, 1, 0, -1, 0, 1, 0, 1, -1, 0, 0, -2, 2, -2, 2, 2, 0, 0, 1, 2, -1, 6, -1, 0, -1, 1, -2, -3, -1, 1, 4, 0, 1, 0, 0, 1, -1, -1, 0, -2, -1, 0, -1, -1, 4, 1, -1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0, -1, 1, 0, 0, -1, -1, 1, 0, 1, 4, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, 2, 0, 0, -1, -1, -1, 4, -2, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, -1, -1, 0, -1, 1, 0, 0, -2, 4, 0, -1, -1, 0, 1, 0, 1, 0, -1, 1, -1, -1, 0, 0, -1, -2, 0, -2, 0, 0, 0, 0, 4, 2, 0, -2, -2, 1, 0, 2, -1, 1, -2, -2, 1, -1, 0, -2, 1, -3, 1, 1, 0, -1, 2, 4, 1, -1, -3, 0, 0, 2, -2, 2, -2, -2, 1, -2, 1, 1, 0, -1, 1, -1, 1, -1, 0, 1, 4, 0, -1, 1, 1, 0, 0, -1, 1, 0, 1, 1, 1, 2, 1, 1, -1, 0, 0, 0, -2, -1, 0, 4, 1, -1, 1, -2, 2, -2, 2, 2, 0, 0, 1, 2, -1, 4, -1, 0, 0, 1, -2, -3, -1, 1, 6, 1, 1, -1, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, -1, 1, 4, 0, 1, 0, 1, 0, -1, 1, -1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 0, -1, -1, 1, 0, 0, 1, -1, 0, -1, -1, 0, 2, 0, 1, -2, -1, 0, 2, 4, -2, -2, -1, -1, -1, 0, -1, -1, 0, 0, -1, -1, -2, -1, 1, 0, 0, -2, 0, 1, -2, -2, 4, 2, 1, 1, 2, -1, 0, 1, -1, 0, 1, 1, 2, 1, -2, 0, -1, 2, 0, 0, -2, -2, 2, 4, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, -1, -1, 0, 2, -1, -1, 0, -1, 1, 1, 4, -1, -1, -1, 2, 2, 1, 1, 0, -1, 1, 2, 0, 1, 1, -1, -1, 1, -1, -1, 1, 0, -1, 4, 2, 0, 0, 0, -1, 0, 1, 2, 1, -1, -2, 0, -1, 2, 0, 0, -1, -1, 2, 1, -1, 2, 4, 1, 0, -1, -2, 0, 2, 2, 1, -1, -1, 0, -2, 1, 0, 0, 1, 0, -1, 0, -1, 0, 1, 4, -1, -1, 0, 0, 1, 1, -1, -1, 2, 0, 0, -1, -1, 0, 0, -1, 0, 1, 2, 0, 0, -1, 4, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, 1, 2, 0, -1, -1, 1, 4, 2, 1, -1, 0, 0, 1, -1, -1, 1, 0, -1, 1, 1, 0, -1, 0, 1, -1, -2, 0, 1, 2, 4, 1, 0, 0, 0, 1, 0, -1, 1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 4, -1, 0, 0, 1, -1, -1, -1, -1, 1, 2, 0, -1, 1, 1, 0, 1, 2, 1, 1, -1, 0, -1, 4, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, -1, 2, 2, 1, 0, 0, 0, 0, 1, 4, 0, -1, -1, 0, -2, 2, 0, 0, -1, -2, 2, 1, 1, 1, 1, -1, 1, 0, 0, 0, 1, 0, 4, 1, -1, 1, -1, 2, 0, -1, 0, -1, 1, 0, 2, -1, -1, -1, 0, 1, 1, 1, -1, -1, 1, 4, 0, 0, 0, 0, 1, 1, 2, 1, -2, -1, 0, -2, -1, 2, 0, -1, 0, -1, 0, -1, -1, 0, 4, 1, 1, -2, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1, -1, -1, 0, 0, 1, 0, 1, 4, 0, 0, 0, 0, 1, 0, -1, 0, 1, -1, -2, 0, 1, 1, 1, -1, 0, -2, -1, 0, 1, 0, 4, -2, -1, 0, -2, -2, 2, 2, -1, 2, 1, -1, -1, 0, -1, -1, 0, 2, 2, 0, -2, 0, -2, 6, 1, -2, -1, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 1, 4, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, -1, 1, 0, 0, 0, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 0, -1, 0, 2, -1, 0, -2, -1, 0, 0, 2, -1, -1, -1, 0, 1, -1, 1, 2, 4, 2, 2, 1, 0, 0, 2, -2, 1, -1, 0, -1, 1, 2, -1, 1, -2, 0, 2, -1, 0, 2, 2, 4, 0, 0, -1, 0, 0, 0, 0, -2, -1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 2, 2, 0, 4, 1, -1, 1, 2, -1, 0, -1, 1, 0, 0, 3, -1, 0, -2, 1, 2, -2, 1, 0, 1, 0, 1, 4, 0, 2, 1, 1, 0, 0, 2, -1, 0, 2, 1, 0, -1, 1, 1, 0, -1, -1, 0, -1, -1, 0, 4, 1, -1, -2, 2, 1, -1, 0, 1, -1, -1, -1, 0, 1, 0, 0, -1, 0, 0, 0, 1, 2, 1, 4, 0, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, -1, 0, 4, -1, 0, -1, 0, 0, 0, 3, 1, 0, -2, 0, 2, 0, 1, -1, -2, 0, -1, 1, -2, 1, -1, 6, -3, 0, 2, 1, -1, -1, 1, 1, 2, 0, -2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, -3, 4, 1, -1, -1, 0, 1, -1, 0, 0, 1, 0, 0, -1, -2, -1, -2, -1, 0, 1, -1, -1, 0, 1, 4, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 1, 2, -1, 1, 0, 2, -1, 0, 4, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 4, 1, -1, 0, -1, 0, -1, -1, 0, 2, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 1, -1, 1, 4, -1, -1, 0, -2, 0, 1, -1, 0, 2, 2, 0, 3, 2, -1, 1, 3, -1, 1, 0, 1, -1, -1, 6, 1, 1, -2, 1, 2, 0, 0, -1, -1, -1, -1, 1, -1, 0, 1, 1, -1, 0, 1, 0, -1, 1, 4, 1, 0, -1, 0, 2, 0, -1, 1, 0, 0, 0, -1, -1, 0, 1, 0, 1, 1, -1, 0, 1, 1, 4, 0, 0, 0, 0, 0, -1, -2, 0, -2, -1, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 4, 0, -2, 1, 0, 0, 0, -1, 1, 1, 1, 2, 0, 0, 1, 1, 0, -1, 0, 1, -1, 0, 0, 4, 0, -1, 0, 1, 2, 0, 2, 1, 0, 0, 2, -2, 0, 0, 0, -1, 1, 2, 0, 0, -2, 0, 4, 0, 0, -1, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 1, -1, 0, 4, -1, 1, 0, 0, 1, -1, -1, 0, 1, 1, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 0, 1, -2, -1, -1, 1, 0, -2, 2, -2, 0, -2, 2, 1, 1, -2, -2, 1, -2, 4, 1, 1, 1, -1, 1, -1, 1, -1, 0, 2, -2, 1, 1, 0, -1, 0, -2, 2, 2, 0, -2, 1, 4, 1, 1, -1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, 1, 0, -2, 0, 1, 1, 4, 0, 1, 1, -1, 0, -1, -1, 1, 1, -1, -1, -2, 0, 2, -2, 1, -1, 1, 0, 1, 1, 0, 4, -1, 1, -2, 1, 1, 1, 1, 1, -1, 2, -2, 0, 1, -1, 1, -1, 0, 1, -1, -1, 1, -1, 4, -1, 0, -1, 0, -2, 0, 2, 0, 0, -2, -1, 1, 0, 0, -2, 0, -2, 1, 2, 1, 1, -1, 4, 1, 2, -1, 0, 1, 0, 1, 0, 1, -1, 1, -2, 1, 0, -1, -1, -1, 0, -1, -2, 0, 1, 4, 1, 0, 0, -1, 0, 1, -1, 3, 0, 0, 0, -1, 0, -1, -1, 1, 2, 0, 1, -1, 2, 1, 4, 0, 1, 0, 1, 1, 1, 0, 0, 1, -1, 0, -1, -2, 1, -1, 0, -1, 1, 0, -1, 0, 0, 4, 0, -1, 2, -1, 0, -1, 2, 1, 1, -1, -2, 0, 0, 0, 1, -1, 1, -2, 0, 0, 1, 0, 4, -1, 0, -1, 0, 0, 1, 0, 1, -1, 0, -1, -2, 2, 1, 1, 1, 0, 1, -1, 0, -1, -1, 4, -2, 1, 0, 0, -2, 0, -2, 2, 1, 0, 2, -2, 0, 1, 1, 2, 0, 0, 1, 2, 0, -2, 6, -2, 0, -3, 1, 2, 0, -1, -4, 0, -2, 1, 0, -1, -1, 0, 1, 1, 1, -1, -1, 1, -2, 4, 0, 2, -2, -1, 0, 1, 2, -1, 0, 1, 0, -1, 2, 0, 0, -1, 1, 0, 0, 0, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, -2, 1, 3, 0, -1, 0, 0, -3, 2, -1, 6, 0, -2, 0, 0, 3, 0, 2, -1, 0, 0, 0, -1, -1, 0, 0, 2, 1, -2, 1, -2, 0, 0, 4, 1, 1, -2, -1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, -1, 0, -2, 1, 4, -1, 0, -2, 0, 1, -2, -1, -2, -1, 0, -2, 0, -1, 1, 1, -2, 0, 0, 0, 0, 1, -1, 4, -2, 0, 0, -2, 2, 1, 1, 1, 0, 1, -1, 0, -1, -1, 2, -1, 1, 0, 0, -2, 0, -2, 4, 2, 0, -2, 2, 0, -1, -1, -2, 0, 0, -1, -2, 0, 1, -4, 2, 0, 3, -1, -2, 0, 2, 6, 0, 1, 0, -2, 1, 0, 0, -1, -1, -2, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 2, 0, 0, 0, 2, 1, 1, -1, 0, -1, -1, 2, -1, 2, -1, 0, 2, 1, 0, 1, 0, 4, 1, 1, -1, -2, -1, -1, -1, 1, 2, -2, 1, -1, -1, 2, 1, 0, 0, -1, 1, -1, 2, 1, 6, -2, 2, 1, 3, 2, -1, 2, 0, -3, -2, 3, -2, 3, 2, -2, 0, 2, 0, 1, 0, 1, -2, 4, -2, -1, 0, -1, 1, 0, 0, 1, 1, -1, 1, 1, -1, 2, 0, 0, 1, 0, 0, -1, 2, -2, 4, 2, 2, 0, -1, 0, -1, -1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 1, 0, -2, 1, -1, 2, 4, 1, 0, 1, 0, -2, 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 2, 2, -1, 3, 0, 2, 1, 6, 1, 0, 0, -1, 0, -1, 3, -1, 1, 1, 0, 1, 3, 1, 2, 1, -1, 2, -1, 0, 0, 1, 4, 1, 1, 0, -1, -2, 3, -1, 1, 1, 0, -1, 1, 0, 0, 1, -1, -1, 1, -1, 1, 0, 1, 4, 0, 0, 2, 0, 0, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 2, 0, 0, 0, 0, 1, 0, 4, 0, -1, 0, 0, -1, 1, 2, 0, -1, 1, 1, -1, 0, 2, 0, 0, -1, -2, -1, 0, 0, 0, 4, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, -2, -3, 1, -1, 1, 0, -1, 2, -1, 0, 6, 1, 0, 1, -3, -1, 1, 0, -1, 0, 1, -1, 1, -2, 1, 0, 0, -1, -2, 0, 0, 0, 1, 4, -3, 1, -1, 0, 0, 1, -1, 1, 0, 2, -1, 3, -1, 0, 0, 3, 3, 0, 0, 0, 0, -3, 6, -2, 1, 1, 0, -1, 2, 0, 1, -1, -1, -2, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -2, 4, -1, -1, 0, 1, 0, -1, 1, 2, 2, 3, 1, 0, 0, 1, 1, 1, 1, 0, -3, -1, 1, -1, 6, 1, 0, 0, 0, 1, 1, -1, 1, 2, -1, 0, 0, 1, 1, -1, 2, 0, -1, 0, 1, -1, 1, 4, 0, -1, 1, 1, 0, 0, 0, -2, 2, -2, -1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 4, 0, 0, 1, -1, 2, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 0, 1, -1, 1, 0, -1, 0, 4, 0, 0, 1, 1, -1, 2, 0, 0, 0, 3, 1, -1, 1, 0, -1, -1, 2, 0, 0, 1, 0, 0, 6, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, -1, 1, 1, 1, 0, 1, 4, 0, 1, -1, 1, 0, 1, 2, 2, 0, 1, -1, 0, 1, 0, 1, 1, 1, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 0, 0, -1, -1, 2, -1, 0, -1, 0, -1, -2, -1, -1, 0, 1, 0, 1, 1, 6, -3, 1, 1, -1, -2, -3, 1, 1, 2, -2, -1, -2, 0, 2, 1, 0, 2, 0, 2, 3, -1, -3, 6, -2, -2, 0, 2, 2, -2, 1, 1, 3, 2, 1, -2, 1, -1, 1, -3, -1, -2, 0, -1, 1, -2, 4, 0, -1, 0, 0, 1, -2, -1, -1, -1, 0, 2, 0, 2, 1, 1, -1, 0, 0, 2, 1, -2, 0, 4, 1, -1, -1, 0, 0, -2, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, -1, 1, 4, 0, 1, -1, -1, -2, 0, 2, -1, -1, 1, -2, 1, 0, -1, 0, 1, 0, -2, 2, 0, -1, 0, 4, 1, 0, 0, -1, 2, 1, 2, 0, -1, 1, 1, 0, -1, -2, -1, -1, -3, 2, 0, -1, 1, 1, 4, 0, -1, -2, 2, 1, 0, 0, 0, -1, 1, -1, -1, -1, 0, -1, 1, -2, 1, 0, -1, 0, 0, 4, -1, 0, 0, 0, 1, 2, 1, 1, -1, 2, 1, 0, -1, 2, 1, 1, -2, 0, -1, 0, -1, -1, 4, 2, 0, -1, 0, -1, 0, -1, -1, 0, 1, 0, 1, -1, 2, 1, -1, -2, -2, -1, -2, 0, 2, 6, -1, 0, -1, 0, 2, 1, -1, 0, 1, 0, 1, 0, -2, 3, -1, -1, 0, 2, 2, 0, 0, -1, 4, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 2, -1, 0, 2, 1, 1, 0, -1, 0, 1, 4, 0, -1, 2, -1, 1, -1, -1, -1, 1, 0, -2, 1, 0, 0, -1, 2, 0, 1, 0, -1, 1, 0, 4, 1, -1, 0, 0, 0, 0, -1, -3, -1, 0, -2, 2, 0, -1, 0, 0, 2, -1, 0, -1, -1, 1, 4, 0, 1, -1, 1, 0, 0, -1, -2, 2, 1, 0, 0, 1, -1, 0, 1, 0, 2, 0, 2, -1, 0, 6, 0, 1, 0, -1, 0, 3, -1, 1, -1, 2, -1, -2, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 4, 0, 1, 0, 0, 0, -1, 0, 1, 1, 0, 1, 1, 1, -1, -1, -1, 0, 1, 0, -1, 1, 0, 4, 0, -2, 0, 1, 0, 2, -3, 1, 0, 0, 0, -1, 2, 0, 0, -1, -1, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, -1, -1, 0, -1, -1, -1, 1, 1, 1, 0, -1, 0, 0, -1, 0, -2, 0, 4, 1, -1, 0, 2, -2, 0, 0, 0, -2, -1, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, 1, 4, 0, 1, 3, 0, 0, 1, 1, -1, 0, -1, 1, 1, 0, 1, -3, -1, 3, 0, 1, 0, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 2, -2, -1, -2, 2, -2, 1, -1, -1, -1, -2, 0, 0, 2, -2, 2, 1, -2, 0, -2, 4, 1, -1, 2, 1, 2, -1, 0, -2, 1, 1, 2, 2, -1, 0, -1, 0, -2, 1, 2, -1, 0, 1, 4, -1, 1, 2, 1, 1, 1, -1, 1, 2, 1, -1, 0, 1, 0, -1, -2, 2, -1, 1, 2, -1, -1, 4, -1, -2, 0, 0, -2, 2, 0, -2, -2, -2, -1, -1, 0, -2, 1, 0, 0, 0, -2, 2, 1, -1, 4, 2, 2, -2, 0, -2, 0, 1, 0, 2, -1, 0, -2, 0, -2, 0, 1, 0, -1, 1, 2, -2, 2, 4, 1, -1, 0, -1, 0, 2, 0, 1, 1, 0, -1, 0, -1, 0, -1, 0, -2, 2, 1, 0, 2, 1, 4, -2, 0, -1, 0, 0, 0, 1, 0, 0, -2, 0, -1, 1, 2, 0, 2, -1, 1, 0, -2, -1, -2, 4, 0, 1, 1, 1, 1, -2, 0, 1, 2, -1, 1, 1, -2, 0, -2, 0, 1, -2, 0, 0, 0, 0, 6, 1, 1, 0, 0, -1, 0, 0, -1, 2, 0, 1, -1, 0, 1, -2, -1, 2, -2, -1, -1, 1, 1, 6, 1, -2, -3, -2, 1, -2, 1, 0, 3, -1, -3, 0, -1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, 0, 0, 0, -1, -1, 0, 0, -1, 1, -1, 1, -1, 1, 2, -2, 1, 2, 0, 1, 0, -2, 0, 6, 1, -1, -1, 3, 0, 0, -3, 1, 0, 1, -1, 2, 1, -2, 0, 0, 0, 1, 0, -3, 0, 1, 6, 2, 0, 1, 1, 1, -1, -1, 2, -1, -2, 2, -1, -2, 2, 1, 1, -2, -1, -2, 0, -1, 2, 6, 1, -1, 0, 1, 0, -1, 2, 0, 0, -1, 0, -1, -1, 1, 0, 0, 0, 1, -1, -1, 0, 1, 4, -1, 0, 0, 2, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, -2, -1, 3, 1, -1, -1, 4, 1, 0, -2, 1, 1, 1, 2, -1, 0, 0, -2, -1, -2, 2, -1, 1, 0, 0, 1, 0, 0, 1, 4, 0, 1, 0, -1, 1, -2, 0, -1, -2, 0, 0, 0, -1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 4, 0, -1, 1, 0, 2, -2, -2, 1, -2, -1, -1, 1, 0, 3, -1, -3, -1, 0, 2, -2, 1, 0, 6, -1, -2, -1, 1, 1, 2, 0, 0, 0, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 0, -1, -1, 6, 0, 1, -2, 2, -1, 0, 1, -1, 2, -2, -1, -3, -1, 0, 2, 2, -1, 1, -1, 1, -2, 0, 6, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 1, 1, 0, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, 0, -2, 1, -1, 0, 1, 1, -1, 2, 0, 1, 0, 0, -1, -1, -1, 2, 4, -2, -1, -1, 0, -1, 0, -1, 0, -1, 0, 1, -1, 0, 1, 1, -1, -1, -1, 0, 0, -2, -2, 4, 1, 2, -1, 0, 0, 1, 0, 1, -1, -1, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1, 1, 4, 2, 1, 0, 0, 2, 1, -1, -1, 1, 2, 2, 1, 1, -1, 2, 2, -1, 1, -1, -1, 2, 2, 4, 1, 0, 0, 2, 0, -1, -2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, -1, 1, 1, 4, -1, -1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, -1, 4, -1, 1, -1, 1, 1, 0, 0, 0, -2, 0, 0, 0, -1, -1, 1, -2, 0, 0, 0, 0, -1, -1, 6, 0, 3, -1, -2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, -1, 1, 2, 2, 2, 1, 0, 6, 0, 1, -1, 2, 3, 4, -1, 3, 1, 2, 1, -1, -1, -1, 0, 0, 1, 0, 0, -1, 3, 0, 4, 0, -2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, -1, 1, -1, -1, 0, 1, -1, 1, 0, 4, 1, -1, 0, 0, -1, 0, 0, -1, -1, -1, 0, 1, 0, -1, -1, -2, 0, 1, -2, -1, -2, 1, 4, -1, -2, 0, -1, -1, -1, -1, -1, 0, 0, 1, 1, -1, 1, 1, 2, 0, 1, 2, 0, -1, -1, 4, 1, 2, 1, 2, 0, 0, 0, 0, 1, -1, -1, 1, 2, 2, 1, 0, 2, 3, 2, 0, -2, 1, 4, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 4, 0, 0, 0, 2, 1, 6, 0, 2, 1, 1, 0, -1, -1, 0, 1, 0, 1, 0, 0, -2, 2, -1, 1, -1, -1, 1, 0, 0, 4, 0, -1, 0, 0, 0, 1, 1, 1, -1, 1, 1, 2, 0, 1, 3, 1, 0, -1, 2, 2, 2, 0, 4, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 1, -1, 0, 4, 1, -1, 0, -2, 0, -1, 1, 2, 2, 0, 0, 1, 2, 1, -1, -1, 0, 2, 1, 0, 1, 1, 4, 1, 0, -1, -1, -1, 1, 2, 2, 1, -1, 0, 1, 1, -1, -1, 0, 2, 0, 0, 1, -1, 1, 4, 1, 0, -1, 0, 0, -1, 0, -1, -1, 2, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 4, -1, -1, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 1, 0, -2, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, -2, -1, 1, -1, -2, 0, -1, -1, 0, 0, 1, -1, 2, 0, 0, -2, 1, 0, 0, 4, -1, 1, 1, 0, 1, 2, 1, 0, -1, 1, -2, -1, 0, -2, 0, 2, 1, 1, 0, 2, 1, -1, 4, -2, 0, 1, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, -1, -2, 0, 0, 0, -2, 1, -2, 4, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 1, -1, 0, -2, 1, 0, 2, 4, 2, -1, 2, 2, 0, 0, 0, -1, -1, 0, 0, -2, 0, 0, 2, 0, 1, -1, 0, 1, 1, 2, 4, -1, 1, 1, 1, 0, 1, -1, 0, -1, 1, -1, 0, -1, 1, -1, 1, 1, 1, 0, 0, -1, -1, 4, 1, -1, -1, 1, 0, 0, -1, 1, 0, 2, 1, -1, -1, -1, 1, -1, 2, 0, 1, 2, 1, 1, 4, 1, 0, 0, 0, -2, -2, 0, 0, -1, 0, 0, 1, 0, 2, -2, 1, 0, 1, 2, 1, -1, 1, 4, 0, 1, 1, 0, -1, 0, -1, -2, 1, 0, 2, -1, 1, 0, 0, 1, 0, 0, 1, -1, 0, 0, 4, 0, 0, 0, -1, -2, 1, 0, 1, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 2, 0, 0, -2, -1, -1, 0, -1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 4, 0, 1, 0, -1, -1, 1, -1, 1, -1, 0, 0, -2, 1, 0, -1, -1, 0, -2, 0, 0, 1, 0, 4, 0, 0, -1, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, 0, -1, -2, -1, -1, 0, 1, 0, 4, 0, 1, 1, 0, 0, -1, 1, -2, 1, 0, 0, 0, 0, -1, 1, 0, 0, -2, 1, 0, 0, 0, 4, -1, 0, -1, 0, -1, 1, 0, -1, -2, 0, -1, 0, 1, 0, 0, -1, 1, 2, -1, -1, 1, -1, 6, 1, -1, -2, -1, 0, 0, 2, 0, -1, 0, -2, -1, 2, -1, -2, 0, 0, -1, 0, 1, 0, 1, 4, 1, 0, -2, 0, 0, 0, 2, -1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, -1, 1, 4, 0, 1, -1, 1, 0, 1, -2, 1, 0, -1, -1, 0, 0, -1, -2, -1, -1, 0, 0, -2, 0, 0, 4, 0, 1, 0, -2, 1, 0, 1, 2, 1, -1, 1, 2, 0, -1, 1, 0, -1, -1, -1, -2, 1, 0, 4, 0, 1, 1, 0, 0, -1, 0, -1, -1, 0, -1, -1, -1, -1, -1, 1, 1, 0, 0, -1, 1, 0, 4, -1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, -1, -2, 0, 0, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 2, 2, -2, 1, 2, -1, 1, 2, 2, -1, -2, -1, 0, 1, -1, 2, 1, 4, 0, 0, 2, 0, 0, 0, -1, 2, 1, -1, 2, 2, 2, 0, 0, -2, 1, 2, 0, 1, -1, 0, 4, 0, -1, 0, 0, -1, -1, 1, 1, -1, 0, 1, -1, -1, 2, -1, -1, 1, 0, 0, -1, 0, 0, 4, -2, -2, -1, 1, 0, 0, 1, 2, -1, 1, -1, -1, 2, 0, -1, 0, -1, 0, 2, 2, -1, -2, 6, 1, 2, -1, -1, 0, 2, -2, 0, 1, 1, 0, -3, 0, 2, 0, -1, 2, 1, 0, 0, -2, 1, 4, 2, -1, -1, 0, 1, -2, 0, -1, 2, 0, -2, 0, 0, 0, 1, 1, 2, 0, 0, -1, 2, 2, 4, 1, -2, 0, 2, -1, 0, 1, 1, 0, -1, 0, 0, 0, -1, 2, 2, 0, -1, 1, -1, -1, 1, 4, -1, 0, 0, 1, 1, 2, 1, 0, 0, -1, -1, 1, -1, 1, -2, -1, -1, 0, -1, -1, -2, -1, 4, -1, -2, 1, -1, -2, -2, 1, 1, 2, 1, -2, 0, -2, 1, 2, 1, 0, 0, 0, 0, 0, -1, 4, 2, -1, 1, 2, 1, 0, 0, -2, -1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, -2, 2, 6, -2, -1, 3, 1, -1, 0, -1, 0, 1, -2, 3, -1, -1, -1, 2, -2, -2, -1, 1, 1, -1, -2, 4, -1, -1, -1, 0, 1, 1, -1, -1, 0, -1, 1, 2, 0, -1, 0, 0, 0, 1, -1, 1, -1, -1, 4, 1, 1, 0, 0, -2, 1, 2, 1, 0, 2, 2, 1, 1, 1, -1, 1, 2, -2, 2, 3, -1, 1, 6, 0, 0, 1, -3, -1, 2, -2, 2, 2, 2, -1, -1, 1, 2, 1, 1, -2, 1, 1, -1, 1, 0, 6, 1, -1, -1, 0, 2, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 4, 1, 0, 0, 0, 0, 0, -2, 0, 2, 2, -3, -2, -1, 0, 1, 0, 0, 1, 0, 1, -1, 1, 6, 0, 0, 0, -1, -1, -1, -2, -1, 0, 0, 0, 0, -1, 2, -2, -1, 1, -2, -3, -1, 0, 0, 4, 1, -2, 0, -1, 0, 1, -1, -1, 2, 0, 0, -1, 1, -1, 0, -1, 1, -1, 0, 0, 0, 1, 4, -1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, -2, 2, 1, -1, 2, 2, 2, 0, 0, -2, -1, 4, 1, 1, -1, 0, 0, -1, -1, 1, -1, -1, 0, 0, -2, 0, 1, -2, 0, 0, -1, 0, 0, 1, 4, -1, 2, 1, 0, 0, 2, 1, 2, 1, -2, 1, 3, -1, 0, 2, 1, 0, -1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, 1, 1, -1, 2, -1, 1, 1, -2, 1, 1, -1, -1, -1, 1, -1, 1, 0, -1, 2, 4, 1, 0, -1, 0, 1, 2, -1, 0, 0, -1, 1, 0, -1, -1, -1, -1, -2, 0, 0, -1, 0, 1, 4, 2, -2, -1, 0, -1, 0, 1, -2, -1, 0, 1, -1, 1, -1, -1, 0, 1, 1, -1, -1, 0, 2, 4, -2, 0, 0, -1, 0, -1, -1, 1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 1, -1, -2, -2, 4, 0, 0, 1, -1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, -1, 0, 0, 4, -2, 0, -1, -1, 2, 0, -1, 1, 0, 1, 1, 0, 1, 1, 1, -1, -1, 1, 0, 0, 0, -2, 4, 1, 0, 0, 0, 1, 0, -1, 1, -1, -1, 0, -2, -1, -1, 1, 2, 2, -1, -1, 1, 0, 1, 4, 0, 0, 1, -1, 0, 0, -1, -1, -1, 1, -2, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, 0, 4, -1, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, 1, 0, 1, -1, 1, -1, 0, 0, -1, 4, -1, -1, 0, 0, 1, 1, -1, 2, 0, 0, 1, 0, 1, 0, -2, -1, 1, 2, 0, 1, -1, -1, 4, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -2, -1, -1, 1, 0, 0, 1, -1, 0, -1, 1, 4, 1, -1, 1, 1, 1, 0, 1, -1, -1, 2, 1, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 4, -1, 0, -1, 0, 0, 0, -1, -1, 1, 1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, -1, 4, 0, 1, 0, 0, 0, 2, 1, -1, -1, -1, -1, -1, 1, 0, 1, -1, 0, 1, 0, 1, 0, 0, 4, 1, 0, 0, 1, 0, 1, 1, -1, -1, 1, 1, 0, 1, -1, -1, -1, 1, 0, 1, -1, 1, 1, 4, 0, 0, 2, 1, 2, 1, -1, -1, -1, 0, 0, 1, -1, -1, -1, -1, 0, 1, 0, 0, 0, 0, 4, 0, 1, -1, 0, 1, 1, -1, -1, -1, 2, 0, 0, 1, -1, 2, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, -1, -2, 0, 0, 0, 1, -2, -2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 4, 0, 1, 1, 1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, -1, 2, 0, 1, -1, 0, 0, 4, 2, -1, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, -1, -1, -1, 1, 1, 2, 0, 0, 1, 2, 4, -1, -1, -1, -1, 0, 1, -1, 1, 0, -1, 0, 1, 2, 1, -1, 1, 1, 1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 0, 1, 1, -1, 2, 1, -1, 2, 0, 0, 1, -1, 1, -1, -1, 2, 1, 1, 4, 0, 1, 0, -1, 0, 0, -1, 1, 2, 1, 0, 0, 0, 0, -1, 1, -1, -1, 0, -1, -1, 0, 4, -2, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 1, 1, -2, 6, 2, -2, 0, -2, -1, 0, 0, 0, 0, 2, 2, -2, -3, 0, 2, 0, 2, -1, -1, 0, 0, 2, 4, -2, 0, -2, -1, 0, 0, -1, -1, 1, 2, 0, -1, 1, 1, -1, 1, -1, 0, -1, 0, -2, -2, 6, 2, 0, -1, -1, 1, 0, -1, -3, -1, 1, 1, -1, 0, 1, -2, 3, 1, 0, 0, 0, 0, 2, 4, -1, -2, -1, 0, -1, 1, -2, -1, 1, 1, 1, 1, -1, 1, 1, 1, 0, 0, -2, -2, 0, -1, 4, 2, 1, 0, 1, 1, 0, 0, 1, 0, -1, -2, 1, -1, 0, -1, -1, -1, -1, -1, -1, -2, 2, 4, -1, -2, 1, 0, 1, 0, 0, 0, -1, -1, 1, -1, -1, 2, 1, 1, 0, 0, -1, -1, 1, -1, 4, 2, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, -2, 2, 4, 0, 0, -1, 0, 1, -1, 0, -1, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 1, 1, -1, 0, 4, -1, 0, -1, -1, 0, -2, 0, 2, -1, -1, 2, 0, 0, 0, -1, -1, 1, 1, 0, 1, 0, -1, 4, 0, -1, 1, 0, 0, -1, -1, 2, 0, 0, 0, 0, 2, 1, -3, -2, 0, 1, 1, -1, 0, 0, 4, 1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 2, 2, -1, -1, 0, 0, 1, 0, -1, -1, 1, 4, -1, -2, 0, 1, 0, -1, 0, 1, 0, 0, -2, 0, 1, 1, 1, 0, 1, 1, -1, 1, -1, -1, 4, 1, 1, -2, -1, 1, 1, -1, -1, 2, -3, -1, 1, 1, 0, 0, -1, -1, 0, 0, -1, -2, 1, 4, 0, 0, 0, -1, 1, 1, 1, 0, 0, 1, -1, 1, -1, -1, 1, 0, -2, 0, 0, 0, 1, 0, 4, 0, -2, 2, 0, -1, -1, 0, 2, 1, 0, 1, -2, -1, -1, -1, 0, -1, 0, 1, -2, 0, 0, 4, 0, 0, 0, -1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 0, 2, -1, 0, 0, -1, 0, -2, 0, 4, -1, 0, 2, 0, -2, 2, 1, -2, 1, -1, -1, 1, 0, -1, 2, 1, -1, 1, -1, 2, 0, -1, 6, -1, 1, -1, 0, -1, -1, 3, 1, 0, -1, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -1, 1, -2, -1, 1, -1, -1, -2, 1, -1, 0, 1, -1, 1, 1, -1, -1, -1, -2, 4, -1, -1, 2, 0, 0, 1, 1, -1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, -1, 0, -1, 4, 2, 1, -1, 0, -2, 0, 2, -1, -1, 1, -2, -2, 1, 1, -1, -1, 0, -1, 2, 1, -1, 2, 4, 1, 1, -1, 0, 1, 2, 0, -1, 1, -2, -1, 2, 1, -1, -1, -1, -2, 2, -1, 2, 1, 1, 4, 0, 0, -1, 2, 1, 0, 1, 0, -1, -1, 2, 0, 0, 0, 0, -1, 1, 1, 0, -1, 1, 0, 4, -2, 2, 0, -1, 1, 0, 0, 0, 0, 2, -1, 0, -1, -2, -1, -1, -2, 0, 0, -1, 0, -2, 4, -1, 0, 2, 0, 0, 0, 0, 0, -1, 1, -1, 0, 2, 1, 0, -1, 1, -2, 0, -1, 2, -1, 6, -2, -1, 1, 1, -1, 2, 0, 1, 1, 1, -1, -2, 1, 1, 1, 1, 0, 1, 2, 0, 0, -2, 6, -1, 0, 1, 2, -1, -1, 0, 1, 1, 2, 2, -1, -2, -1, -1, 2, 2, 1, -1, 2, -1, -1, 6, -1, -1, 1, -2, 0, 1, 0, -2, -2, 1, 0, 2, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 4, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, -2, 2, -1, -1, 1, 0, 0, 1, 1, -1, 0, 4, -1, 2, 0, -1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, -1, 2, 1, 0, -1, 4, -2, 0, 1, 1, -1, 0, 2, 0, -1, -1, 1, -2, -2, -1, 0, 0, 2, -1, -2, 0, 2, -2, 4, 0, -2, 0, 2, 0, -1, 2, 0, 0, 1, -2, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, -2, -1, 0, 0, 1, -2, 1, 1, 1, 2, 2, 2, -1, 1, 0, 1, -1, -1, 1, -2, 0, 6, 0, -1, -1, -2, -1, 1, -1, 0, 1, 1, 0, -1, 1, 1, 1, 0, 1, 0, 1, 0, -2, 0, 4, 0, 0, 1, 0, 2, 1, 0, -1, -1, 0, 0, -1, 1, 1, -2, 0, 1, -1, 2, -1, -1, 0, 4, 1, 0, 1, 0, 1, 0, -1, -1, 0, -1, 0, -1, 2, -2, -1, 0, 0, 0, 0, -1, 0, 1, 4, 0, 0, -1, -1, 0, 0, -1, 0, -2, 2, -2, 2, 1, 1, 1, 2, -1, 0, -2, 1, 0, 0, 6, 1, -1, -1, 1, -1, -2, -1, -1, 1, 1, -1, 0, -1, 1, 0, 2, 1, -1, 0, 1, 0, 1, 4, -1, -1, -1, 2, 2, 1, -1, 0, 1, -2, 2, 0, 0, -1, 0, -2, 1, 2, 0, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -1, -2, 2, -1, -2, 2, -2, -2, -1, 2, -1, -1, 1, 1, 2, -1, 1, -2, 1, -1, 4, -1, 0, 0, 1, 2, 0, -1, 0, 1, -1, 0, 0, 0, -1, 1, -2, -1, 0, -1, 1, 1, -1, 4, -1, -2, -1, 0, 0, 0, -1, -1, 1, 1, 0, -1, 1, -1, 0, 0, 1, 1, 0, -1, 0, -1, 4, 2, 1, 0, 0, 0, 2, 1, 0, -1, -1, 1, 1, 0, 0, 2, -2, 1, 0, -2, 0, -2, 2, 6, 1, 0, 2, 0, 1, 3, -1, -1, 2, 0, -1, 0, -1, 2, 0, 0, 1, 2, 1, -1, 1, 1, 6, -1, 0, 2, 0, 1, -1, 1, 0, -1, -1, 0, 1, 0, 0, -3, 2, -1, 2, 0, 0, 0, -1, 4, -1, -2, 0, 0, 0, -1, 0, 1, 0, 1, -2, 0, 0, 0, 1, -2, 0, 0, 0, 2, 0, -1, 4, -1, 0, 2, 0, -1, 2, 0, -2, -2, -1, 0, 0, 0, 0, 2, -1, 0, 0, 0, 2, -2, -1, 4, 0, 0, 0, 2, 0, -2, 0, 1, 1, 0, 0, 0, 1, -2, 0, -1, 2, 1, 0, 0, 0, 0, 4, 1, 1, -1, -1, 0, 0, 0, 0, 2, -2, 2, -1, -2, 1, -1, 1, 3, 1, 0, 2, 0, 1, 4, 0, 0, 1, -1, -2, 0, -1, 1, -1, 1, 0, -1, -1, 1, 0, -1, -1, 0, 0, 0, 1, 0, 4, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 2, 0, 1, -1, -1, 1, -1, -1, 2, -1, 0, -1, 4, -1, -1, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, -1, 2, 0, 0, 2, 0, -1, 1, 0, -1, 4, -1, -1, -1, -1, -1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 1, 0, -2, 0, -1, 0, -1, -1, 4, 0, -1, -1, 1, 0, -1, 0, 1, -1, 1, 1, -1, -1, 0, -2, 0, 0, -2, 0, 0, -1, 0, 4, 1, 1, 0, 0, 1, 0, 1, 1, -1, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, -1, 1, 4, 0, 0, 0, 0, 1, 2, -2, 0, 0, -1, 1, -2, -1, 1, 0, -1, 0, 0, -1, -1, 1, 0, 4, 0, 0, 0, -1, -1, -1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, -1, 1, 0, 0, 0, 4, -1, 1, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, -2, -1, 0, 1, 1, 0, 0, 0, 0, -1, 4, -1, 1, -2, -1, 1, 1, 0, -3, 0, 0, 0, 2, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 6, -2, 1, 1, 0, 0, 1, 2, 1, 0, 1, -1, 0, -1, 1, 1, 0, 0, 1, -1, 0, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 2, 1, -1, 2, -2, -1, 0, 1, -2, 1, 0, 0, -2, 1, 0, -2, -1, -2, -2, 4, 2, -1, -1, -1, 0, -1, 2, 1, 1, -1, 0, -2, -1, 0, 1, -2, -1, 2, 1, 0, -2, 2, 4, 0, -1, -1, 1, -2, 2, 0, 1, -1, 2, -1, 0, 1, 2, -2, 0, 1, 1, 0, 1, -1, 0, 4, -1, 0, 1, 1, 0, -1, 1, 0, 1, 2, 0, 0, 0, -1, -1, -1, 0, -2, 2, -1, -1, -1, 6, 1, -2, 2, -1, 1, -1, 2, -2, 1, 2, -1, -1, 3, 2, -3, -2, -1, 1, -1, -1, 0, 1, 4, 0, -1, -1, 0, -1, 2, 1, 1, 0, -1, 0, 0, 2, -1, -2, -1, -1, 0, 1, 1, -2, 0, 4, 0, 0, -1, -1, 0, 3, 0, -1, -1, 2, -2, 0, 2, 0, -1, 2, -1, -2, 1, 2, -1, 0, 6, -2, -1, 0, 1, -2, 0, -1, -2, -1, 1, -1, 0, -1, 0, -2, 2, 2, 0, -1, -1, 0, -2, 4, 0, 1, -2, 0, -1, 0, 1, 1, -2, -1, 0, 1, 1, -1, 1, 0, -1, 1, 0, -1, -1, 0, 4, 0, 0, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 1, 1, -1, -1, -1, 0, 1, 0, 4, -2, -1, -1, -1, 2, -1, 0, -1, 0, 2, 1, 1, -1, -1, 0, 2, 2, 0, 1, -2, 0, -2, 4, 0, 2, 0, -2, 1, 1, 2, 0, -2, -2, -2, 0, 2, 1, -2, 1, 3, -2, 0, -1, -1, 0, 6, 0, 0, -1, 3, -1, 1, 2, 0, 0, 1, -2, -1, 2, 1, 1, 0, 0, -1, 0, -1, 2, 0, 4, 1, 0, 0, 1, 1, -2, -1, -2, 0, -1, 0, 0, 2, 0, -1, -1, 0, 1, -1, 0, 0, 1, 4, 1, -1, 1, 1, -2, 0, 0, 0, 0, 1, 0, -1, -1, -1, -2, 1, 0, 2, -2, -1, 0, 1, 4, -1, 0, 0, -1, 2, 1, -2, 1, 2, 0, -1, 0, 2, -1, 1, -1, -1, 1, 3, 0, -1, -1, 4, -1, 1, 2, 0, 0, 1, -2, -2, -1, 3, 0, -2, 1, -2, 0, 0, 1, -1, 1, 1, 0, -1, 6, 2, -1, 0, 1, 0, -1, 0, -1, 2, 2, 0, -1, -1, 0, -1, 2, 1, 1, 1, 0, 1, 2, 4, -1, -1, 0, -2, 2, 1, -1, -3, -1, 2, 0, 0, -1, 0, 0, 2, -2, -2, -1, 2, -1, -1, 6, 2, 1, -1, 1, 1, 0, -2, -2, 0, -1, 1, 0, 2, -2, 0, -1, 0, 2, 0, 0, -1, 2, 4, 1, -2, 0, 0, -2, -1, -1, -1, 0, 1, 0, 1, -2, 0, -2, 0, 1, 0, 1, 0, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, 1, 1, -2, 2, 1, -2, 1, -1, 0, 1, -1, -2, 0, -2, -1, -2, 1, -2, 0, 4, -2, 0, -2, -1, -1, 2, 0, 1, 0, 1, 0, -2, -2, 2, 2, -1, 1, 1, 0, 0, 0, -2, 4, 1, 2, 2, 0, 0, -1, -1, 0, -1, 0, 0, 2, -1, -1, 0, -2, 0, 0, 1, 2, 0, 1, 4, 1, 1, 0, 2, -1, -2, 0, -1, 0, 0, 1, 0, 0, -1, -2, -1, 0, -1, 1, -2, 2, 1, 4, 2, -1, -1, 0, -2, 0, -1, 0, 0, 2, -2, -2, 1, -2, -2, 0, -1, 1, -1, 2, 1, 2, 4, -2, 1, -1, -1, 1, -1, -1, 0, 2, 0, 0, 1, -2, -2, -1, 0, -2, -1, 0, 0, -1, -2, 6, -3, 1, 2, 0, 1, 2, 1, 1, -1, -1, 2, 0, 0, 0, 2, 2, 2, 0, 2, -1, 1, -3, 6, -2, -1, 1, 0, -2, 0, -2, 2, 2, -3, -1, 1, 1, -1, 1, 0, -1, -1, 0, -1, 1, -2, 4, 0, 1, 0, 2, 0, 0, -3, -1, 0, 1, -1, 0, 0, -2, 1, -1, -2, -2, -1, 2, -1, 0, 4, 0, 2, 0, 0, -1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 4, -1, 0, 1, 1, 0, -1, -1, -1, 0, -1, 0, -1, 1, -1, -1, -1, -1, 1, 0, 0, 2, -1, 4, -1, 0, -1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 2, -2, 2, 0, 0, -1, 4, 0, 0, -2, -1, 0, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 4, 0, -1, -1, 0, 0, -1, 1, -1, -1, -2, 2, 1, 2, 2, 1, -2, 0, -1, 1, -1, 0, 0, 6, 0, -2, 1, -2, -1, -2, 1, -2, 2, -1, 0, -2, 0, -1, 2, -3, 1, 0, 0, -2, -1, 0, 6, 2, 0, 0, 2, -1, 1, 0, 2, -1, 0, -2, 0, -1, 2, -1, 1, -1, 2, -1, -1, -2, 2, 4, -1, 1, 1, 0, 1, -2, -1, 0, -1, 1, 1, 2, -3, 0, 1, -1, 0, 0, 0, 1, 0, -1, 6, 0, -2, 0, 1, -1, 1, -2, -2, -2, -2, 0, -1, 1, 1, -1, 1, 1, 0, -2, 0, 1, 0, 4, 1, 0, 0, -2, 1, 0, -1, -2, -2, 0, 1, -1, 1, 0, 1, 0, -1, -1, 2, 1, -2, 1, 6, 0, 1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 1, -2, -1, 0, 0, 0, 0, 4, -1, -2, 0, 1, -1, -1, 0, 2, -1, 0, 2, 0, 1, 0, -1, 1, 1, 1, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 1, 2, 1, -1, -2, 0, -2, 0, 1, 1, 1, -1, 1, 1, 1, 1, -2, 0, 1, 0, 6, 3, -1, 1, 3, 3, 0, -1, -1, -1, -2, 0, 0, -2, 0, -2, 2, -1, 3, -1, -1, -2, 3, 6, -1, 0, 1, 2, 1, 0, 0, -2, -2, -2, -2, 0, -2, -1, 0, -1, 4, 0, -1, 1, -1, -1, 4, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, -1, 1, -1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 4, 0, -1, -2, -1, -2, 0, 0, -1, 0, 0, -1, 1, 1, -1, 0, -1, 1, 1, 3, 1, 0, 0, 4, 1, -1, -1, -1, -1, 0, 0, 0, -2, 1, -2, 2, 0, 1, -1, 0, -1, 3, 2, 0, -1, 1, 4, 2, 0, 1, 0, -2, 0, 0, -1, 0, -2, 1, 0, 2, 0, -2, -2, 0, 1, 0, -2, -1, 2, 4, 0, 2, 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 0, 4, 0, -1, 1, 1, 0, -1, 0, 1, 0, 2, -1, 1, 0, -2, -1, 0, 0, -2, -1, 1, 2, 0, 4, 1, 0, 0, -1, 0, 1, -1, -1, -1, 0, 0, 0, 0, -1, -2, 1, 0, -1, 0, 0, -1, 1, 4, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, -1, 1, -2, -2, 1, 0, 0, -2, -1, 1, 0, -1, 4, 1, 0, -1, 1, 0, 0, 1, -1, -1, 2, 1, 0, -2, 0, -1, 0, 0, 0, 1, 0, 0, 1, 4, 1, -1, 1, 0, 1, 1, -2, 1, 1, 1, 0, -2, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 4, 1, 0, 1, 0, 1, -1, 0, 0, -1, -2, 0, -1, 0, -2, -1, 1, -1, 0, 1, -1, -1, 1, 4, -2, 1, -2, 0, 0, 0, 0, 1, 0, -2, 1, -1, 1, 0, 0, 0, 1, 0, 1, 1, 0, -2, 4, 0, 0, 0, -1, 0, 1, 1, -2, -1, -1, 1, -2, -2, -1, 1, -1, 0, 0, 0, 1, 1, 0, 4, -1, 0, -2, 1, 1, 1, 2, 0, 0, 1, 2, 1, -1, 0, -1, 0, 0, 1, 0, -2, 0, -1, 4, 0, 0, 0, 0, 1, -1, -1, 2, -1, 0, 0, 0, 2, -1, 0, 1, 1, 1, 0, 0, 0, 0, 4, -1, 1, 0, -2, 3, 4, 0, 0, 1, 2, 1, -1, 0, -1, -1, -2, -1, 0, -1, -2, 0, -1, 6, 0, -1, 0, -1, 0, 1, -1, -1, 0, 0, 1, 0, 1, -1, 1, 0, 0, 0, 1, 0, 1, 0, 4, -1, 1, -1, -1, 0, 1, 0, -2, -1, 0, 0, -1, 2, 1, 0, 0, 1, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, 0, -2, -1, -2, -1, 1, 0, -1, 1, 0, 1, -1, 1, 0, -2, 0, 1, 2, -1, 4, -1, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, 1, -2, 1, -2, 0, -1, 0, 1, 0, 0, -1, 4, -1, -2, -1, 0, 0, -2, 1, 1, -1, 1, 0, 0, 1, 1, -1, 2, 1, -1, 0, -1, 0, -1, 4, 0, 2, 2, 1, -1, -1, 0, 2, -2, -1, 0, -1, 1, -1, 1, 1, -1, -1, 0, 1, -2, 0, 4, -1, -1, 1, 0, -1, 1, 0, -1, -1, 0, -1, -2, 2, -2, -2, 0, -1, -2, 1, -1, 2, -1, 4, 2, 1, 1, -1, 0, 1, -1, 1, -1, 0, 0, -1, 1, 1, 0, -1, -1, 0, 0, 2, -1, 2, 4, 0, -1, -1, 0, 1, -2, 1, 0, -1, 0, 0, 0, 0, 0, -1, -2, 0, 0, 1, 1, 1, 0, 4, 0, 0, 0, 1, 0, -1, -1, 1, -1, 0, 2, 0, -1, -2, -1, 1, -2, -1, 0, 1, -1, 0, 6, -1, -2, -1, 2, 0, -2, 1, -1, -1, -1, 1, 1, 1, 1, 0, 1, -1, -1, -1, -1, 0, -1, 4, -1, -1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, -2, -1, 4, -1, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 2, 0, 1, 1, 1, -1, -1, -1, 4, -3, 0, 1, 0, 0, 0, 2, 0, -1, -1, 1, 1, 1, -2, -1, -1, -2, 0, 2, 2, 0, -3, 6, 0, -2, 2, 0, -2, -1, 1, 1, 2, 0, 1, 0, -1, -1, 1, 1, -1, 0, 0, 1, 0, 0, 4, -1, 1, -1, 0, -1, 0, 1, 1, 1, -2, 0, 0, 0, -1, 0, -1, -2, 1, -1, 1, -2, -1, 4, -2, 1, 1, 1, -1, -1, 0, -1, 1, 1, -1, -1, 0, -1, 1, 1, 1, 0, 0, 2, 1, -2, 4, 0, -1, 1, 1, 0, 1, 1, -2, 1, 1, -2, 0, 0, -1, -1, 1, -1, 0, 0, -1, 1, 0, 4, -1, 1, 1, 0, 1, 0, 0, -1, -1, 2, -1, 0, 0, -1, 0, 0, 0, -2, 0, 1, -1, -1, 4, -1, -2, 1, -1, -2, -1, 2, 1, -2, 1, 0, 2, -1, 1, -1, 2, -1, -1, 1, 1, 1, -1, 6, 1, -2, -1, 0, 0, 1, 1, -2, 1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, 1, -2, 1, 4, 0, 1, 1, 1, -1, -1, 0, 0, 0, -1, 1, 0, -1, -1, 1, 1, -1, 0, 0, 1, -2, 0, 4, 0, 2, 0, 0, -1, -1, -1, -1, -2, 1, 1, 0, -1, 2, 1, 0, 1, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, 2, 1, 2, -1, 0, -1, 0, -2, 1, 1, -2, 1, -1, 0, 2, 1, 2, -1, 4, 2, -2, -1, -2, -1, -2, 0, -1, 1, -1, 1, -2, 1, -1, -2, 2, -1, -1, 1, 1, -2, 2, 4, -2, -2, -1, -1, -2, 0, -1, 0, 0, 0, 0, 0, 1, -1, 2, -1, -2, -1, -1, 2, -2, -2, 4, 2, 1, 2, 2, -1, 1, 0, 0, 0, 0, -1, 0, 0, -2, 1, 2, 0, 0, 2, -1, -2, 2, 6, 3, 1, 2, 0, 1, 2, 1, 0, -2, 2, 1, -1, -2, 2, 1, 1, -1, 2, -2, -1, 1, 3, 6, -1, 1, -1, -1, -1, 0, -3, 2, 2, 2, 1, -1, 0, 0, 0, 1, 1, -1, -1, 2, 1, -1, 4, 1, 1, 2, 0, 0, 0, 0, -2, 0, 0, -1, 2, 1, 0, 0, 2, -2, -2, 2, 2, 1, 1, 4, -1, 1, 0, 0, 0, 1, 1, 0, 0, -2, 0, 2, 0, 0, -1, 0, 0, -1, 0, -1, 1, -1, 4, 2, 1, 0, 1, 0, -1, 0, 1, 0, 1, -1, -1, 0, 0, -1, -1, 1, 1, -1, 2, 1, 2, 4, 1, 0, 2, 0, -2, 0, 0, -2, 1, 0, -1, 0, -1, 1, 0, 0, 2, -1, 0, 0, 1, 1, 4, 0, 3, -3, 0, 0, -1, 0, 1, -1, 1, -2, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, -1, -1, -1, -1, 0, -1, 1, 0, 0, -2, -2, 1, 0, 0, 0, -3, 0, 0, 1, 2, 3, -1, 6, -3, 0, 0, -1, -1, 1, 0, 0, -1, 1, -2, 0, 0, -2, 2, 0, 1, 0, 0, -3, -1, -3, 6, -1, 1, 2, 0, -2, 0, -1, 2, 1, 1, 0, -1, 2, 2, -2, 1, -1, -2, 0, -1, 0, -1, 6, 0, -1, 0, 0, 1, 0, 1, -2, -1, 1, 0, 1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 6, 0, 0, 0, -1, -1, -1, 1, -2, -1, 0, -1, 1, 0, 0, 1, 0, -1, 0, -1, 2, -1, 0, 4, 0, 0, 0, 0, 1, -1, 2, 2, -2, -2, -1, -1, -2, 0, -2, 0, -1, -1, 0, 0, 0, 0, 4, -1, -1, 1, 0, 0, -1, -1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, -2, 0, 0, 0, -1, 4, 0, 0, -1, 2, -1, -2, 2, 1, 0, 1, 2, -1, 0, -1, 0, 0, 0, 1, -1, 0, -1, 0, 4, 1, 1, 1, 1, -1, 0, 1, 0, 0, 0, -1, -1, 1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 4, 0, 2, 1, -1, 0, -1, 1, 0, 0, 0, 0, -2, -2, -1, 2, 1, -1, 1, 0, -1, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, 2, -1, -1, 1, 1, 2, -1, 1, -1, -1, -2, -1, 1, -1, 1, 2, 1, 0, 1, 4, 0, 0, 1, 1, -1, 0, 0, 2, 1, 2, 0, -2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 4, 1, 1, -1, 0, 0, 0, -1, 1, 1, 0, -1, 2, 0, 1, 0, -2, 1, 0, -1, -1, 0, 1, 4, 1, 1, -1, -2, 1, 0, 1, 0, -1, 0, 0, -1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 4, -1, -2, -1, 2, 2, -1, 1, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 1, -1, 4, 0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 1, 2, 0, 0, 0, 1, -1, -1, 0, -1, -2, 0, 4, 0, 0, -1, 0, -1, -1, 0, 1, 0, -1, 1, 0, 0, 1, 0, 1, 0, 0, -2, -1, -1, 0, 4, -2, -1, -1, 0, 0, 0, -1, 0, 0, -2, -1, 1, 0, 0, 1, 0, 0, 1, 2, -1, 0, -2, 4, 2, -1, 0, 0, 0, -1, 0, 0, 1, 2, 1, 0, 0, 2, 2, -1, 0, 2, 0, -1, -1, 2, 4, 0, 1, 0, -1, -2, 0, 0, 0, 2, 1, 0, 0, -1, 1, 1, 1, -1, 1, 0, -1, -1, 0, 4, 0, 0, 0, 2, -1, 0, 1, -1, 0, 0, -1, 1, 2, 1, 0, 1, 0, -1, 0, 0, 1, 0, 4, -1, -2, 1, 0, 1, 0, 0, 2, 0, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 4, 0, 0, 2, -1, -1, -1, -2, -2, -1, -1, -2, -1, 0, -1, -1, 0, 0, 0, -1, 0, -2, 0, 4, 0, -1, 0, -1, -1, -1, 0, -1, -2, 0, 2, 0, -1, 1, 1, -1, -1, -2, 2, 1, 0, 0, 6, 0, 1, 1, -3, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 2, -1, 0, 4, 0, 0, -1, -1, -2, 0, 1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 4, 0, -1, 1, 1, 1, -1, 0, 0, 2, 0, 2, 1, -2, 1, 0, 1, 0, -1, -1, 1, 0, 0, 4, 1, 1, 1, 1, 1, 2, -2, 1, 1, 0, 0, -1, 2, 2, -1, 0, -1, -1, -3, -1, -1, 1, 6, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, -2, -1, -1, -1, 1, 1, 1, 6, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, -2, 1, 1, 1, 2, 4, 1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, 1, 1, 2, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, 0, 0, -1, 0, 2, 2, 0, -1, 1, -2, 1, 2, 1, -1, 0, -1, 1, -2, 4, 2, -2, 0, 1, -1, 0, -1, -2, -1, -1, 2, -1, 0, 0, -2, -1, 2, 0, 1, 1, -2, 2, 4, -2, 0, 1, -1, 1, -1, -2, -2, -1, 0, 0, 2, 1, -2, 0, 2, 1, 0, -1, 1, -2, -2, 4, -1, -2, 1, 0, 0, 1, 1, 0, 0, 0, -1, -1, 1, 1, -2, 0, -1, -1, 1, 0, 0, -1, 4, 0, 1, -2, 1, 0, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, 0, 1, 0, 1, 1, -2, 0, 4, -2, 0, -1, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, 1, 1, -2, 4, -1, 2, 0, 0, 2, 0, -1, 2, 0, 0, 1, -1, 1, -1, 1, -1, 0, 1, 0, -2, 0, -1, 4, 0, -1, -1, 0, 0, 2, 0, -1, -1, 1, 0, 0, -1, -1, 0, -1, -1, 0, 1, -1, 2, 0, 4, -1, 0, 2, -1, -1, 2, -1, 0, 1, -2, -1, -1, 1, 2, -2, -2, 1, 0, 0, 0, -1, -1, 4, 1, 0, -1, 1, -2, 0, 2, 0, -1, 0, 0, 0, 2, -1, -2, 1, -1, -1, 0, -1, 0, 1, 4, 0, 0, 0, -2, 0, 1, 1, 1, -1, 0, 1, 0, -1, -1, 0, 1, -1, 2, 0, 2, 0, 0, 4, -1, -1, 2, -1, -1, 1, 0, -1, -1, 1, -1, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, 4, 0, -1, -1, -1, -1, 0, 0, 1, 0, 1, -1, 0, 0, -1, 0, -1, 2, -1, 1, 0, -1, 0, 4, -1, 0, 1, 1, 0, 0, -1, -1, -2, 0, 2, -1, 1, -1, 2, 0, 2, -2, -2, 2, -1, -1, 6, 1, -2, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, 0, 0, -1, -1, 0, 0, -1, -1, 0, 1, 4, 0, -1, 2, 2, 1, 1, 2, -2, -2, 1, 0, 0, 0, -1, 0, 2, 1, -1, -1, 1, -2, 0, 4, 0, -2, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, 1, 1, 0, 1, 1, -1, 1, 0, -1, 0, 4, 0, 0, -2, 0, -1, 2, 2, -2, -1, 0, -1, 0, -2, -1, 1, 0, 0, 0, 1, 2, -2, 0, 6, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 0, 0, 1, 2, 0, 0, 0, 4, 1, 0, -1, 1, 0, -1, 0, 1, -1, -1, -1, 0, 0, -1, 1, -1, 0, 1, 0, -2, 1, 1, 4, 0, 1, 1, -1, -1, 1, 0, 1, -1, 1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, 2, 2, -2, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 2, -1, 4, 1, -1, 0, -2, 0, -1, 2, 0, -1, -1, 0, 1, -1, 1, 2, -1, 1, 0, -1, -2, -2, 1, 4, -1, -1, 0, 2, -1, 0, -1, -2, -1, 1, 1, 0, 1, 0, 1, -1, -1, -1, -1, 1, -1, -1, 4, -1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 0, 1, 2, 0, -1, -1, 6, 3, -1, -1, -1, 2, 1, -1, 1, 0, 1, -3, -1, -1, -1, 0, 0, 1, 2, -2, 0, 0, 3, 6, -1, 0, -3, 2, 0, 0, 2, -1, 1, -2, -3, 1, -2, 0, 1, 1, -2, 0, 2, 0, -1, -1, 4, -2, 1, -2, -2, -1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 1, -1, -1, -1, -1, 0, -2, 4, -1, 1, 2, 1, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, 2, 0, -1, -1, -3, 1, -1, 4, -2, 0, 0, -1, 0, -1, 0, 2, -1, 1, 0, 0, -1, 1, 0, -1, 0, 2, 2, -2, 1, -2, 4, 1, -1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 1, -1, -2, -1, 1, 0, -2, 2, 0, 1, 4, 1, -1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 1, -1, -1, 0, -1, 0, -1, 1, 0, -1, 1, 4, -1, 0, -2, 0, -1, -1, 2, -1, 0, 0, 1, 0, 1, 0, 1, 2, 0, -1, -1, 0, -1, -1, 4, 0, 0, 0, -1, 1, -1, 0, -1, 1, 1, 1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 4, -1, 1, 0, -1, 1, -1, -2, 1, -1, -1, 0, 1, 1, 1, 1, -1, -1, 1, -1, -2, 0, -1, 4, 0, 0, 1, -2, 1, 1, 1, -1, 1, 1, 1, -3, -2, 0, 0, 0, 0, -1, 0, 0, 1, 0, 4, 1, 0, 1, 0, -1, 0, -1, 2, 0, -1, -1, -3, -1, 1, 2, -1, 0, -1, -1, 0, 0, 1, 6, 1, 1, 0, 0, -1, -1, -1, 1, 0, -1, 1, 0, 0, -1, 0, -1, -1, 1, -1, 1, 0, 1, 4, -1, 1, 1, 0, 1, 1, -1, 1, -1, -2, -1, 0, 1, -1, 0, 2, -1, 1, -2, 1, 1, -1, 4, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 1, -1, 4, 2, 0, -1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -2, 1, -1, 0, 1, -1, 2, 4, -1, 2, -2, -1, 1, 1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, -1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, 0, 0, 1, -1, -1, -2, -1, 0, 1, -2, -2, 1, 1, -1, 1, 2, 2, 2, 4, 0, 1, 2, 1, 0, 1, 1, -1, -2, 1, 1, 1, -2, -1, 0, 1, -1, 1, 2, 0, 0, 0, 4, -2, -1, -2, 0, -1, -1, -2, -1, 2, 0, -2, -1, 0, 2, 2, 1, -2, 1, 1, 1, 1, -2, 4, 2, 2, 0, 0, 0, 2, 0, -2, 0, 2, 0, -1, 0, -2, -2, 2, 0, 0, 2, 2, -1, 2, 4, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0, -2, 0, -1, -1, 1, 0, 0, 0, 1, -2, 2, 1, 4, 1, 1, 2, 1, -1, -1, 0, 1, 1, -1, -2, -1, -2, 1, -1, -1, 0, 0, 0, 0, 0, 1, 4, 2, 1, 0, 1, -1, -1, 0, 2, 0, -1, 0, -1, 0, -2, 1, 1, 1, -1, 0, 0, 1, 2, 4, 0, 0, 0, 0, -1, 1, 1, -1, -1, 0, 0, 1, -1, 1, -1, 1, -1, 0, 0, 2, 1, 0, 4, 0, 0, 0, 1, 0, 0, 0, -2, 0, -1, 0, 0, -2, -1, -1, -2, 2, 1, 1, 0, 0, 0, 4, 2, -2, 0, 1, 1, 0, -1, -2, 0, 1, -1, -1, -2, -2, -1, 0, 0, -1, 1, 0, 0, 2, 6, -2, -2, 1, 3, 1, -1, -2, 0, 1, -3, -1, -1, 1, 2, -2, -1, -1, -1, 0, 0, -2, -2, 6, 0, -2, 0, 0, 2, 2, 2, -2, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, -2, 0, 4, -1, -2, 0, 0, 1, 1, -1, 2, -1, 1, 1, -2, 2, 1, 1, 0, 1, 0, 1, 1, -2, -1, 4, -1, 0, -1, -1, -2, 2, 0, 0, -2, -2, -1, 0, 0, 1, 2, 1, 0, 1, 3, 0, -2, -1, 6, 0, -1, -2, 0, 0, -4, 0, -2, -1, 0, -1, -2, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, -2, -1, -1, -2, -1, -1, 2, 0, -1, -1, 0, 4, 1, 1, -1, 1, 2, 1, 1, 2, -2, -1, -1, 0, 0, 0, -2, -2, 2, 1, -1, -2, 0, 1, 4, 1, -1, 2, 1, -1, -1, 1, -2, -1, -2, -1, 0, -1, 0, 0, 2, 1, -2, 0, 0, 1, 1, 4, -2, 0, 0, 1, 1, -2, 2, 1, 1, 0, 1, 0, 1, 1, -2, -1, 2, 0, 0, -1, -1, -2, 4, 1, 0, 2, 2, 1, 0, 0, -1, -2, -1, 0, -1, -3, 0, 2, 0, -4, 0, 1, 2, 0, 1, 6, 0, 2, 0, 1, 0, 0, -1, 1, 1, -2, -1, -1, 0, -1, 0, 0, 0, 2, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 0, -1, -1, 0, 0, -2, 0, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 0, 0, 4, -1, -1, 0, -1, 2, 2, -2, 1, 1, 1, 1, 0, -2, 1, -1, 0, -1, 0, 0, 2, 1, -1, 4, -1, -1, 0, 0, -2, 2, -2, 1, 0, -1, -1, 1, 1, -1, 1, 1, -1, 1, 0, -1, -1, -1, 4, 1, 2, -1, -1, 0, 1, -2, -2, 1, 0, 0, 0, 2, -1, 1, 1, 0, -1, 0, 0, -1, 1, 4, -1, 0, 0, -1, 2, -1, 0, 2, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 0, 2, -1, 4, 0, 0, 0, 1, -1, -2, -1, -1, 1, 0, 1, 1, 1, -1, 0, -1, -1, 2, 0, -1, 0, 0, 4, 0, -1, 0, 2, 1, 1, -1, -1, 0, -2, 0, -2, 0, -1, 2, 0, 2, -2, -1, 0, 0, 0, 4, -2, 2, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, -2, 2, 0, -1, 0, -1, -2, 4, -2, 0, 0, -1, 0, 1, 0, -1, 1, 1, -1, 1, -1, -2, 1, -2, 1, 2, 1, 0, 2, -2, 6, 0, 0, 2, 0, 2, -2, 1, 1, 0, -1, 0, 1, 0, 1, 1, -2, -1, -1, 2, 0, 0, 0, 4, 1, 0, 0, 0, -1, -2, 0, -1, 0, -1, 2, 1, 1, 0, -2, 0, -2, 1, 0, 0, 0, 1, 4, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, -1, 1, -1, 1, 2, -1, 1, 0, -1, 2, 0, 0, 4, 0, -1, -1, 0, -1, 0, 1, 0, 1, 1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 4, -1, 0, 1, -2, -1, 1, 0, 0, -1, -2, 1, 0, 1, 1, -1, -1, 1, 2, 0, 0, -1, -1, 6, -1, 1, 2, 0, -1, 0, -1, 1, 1, 1, 0, -1, 0, 0, 0, 0, -2, -1, 0, -1, 0, -1, 4, 1, 0, 0, 0, 0, 0, 1, -1, -1, 2, 1, 1, -2, 0, -1, 1, -2, -1, 0, 1, 1, 1, 4, -1, 1, 1, 0, -1, -1, 0, 1, -1, -1, 1, 0, 1, 1, 1, 0, 0, -1, -2, 2, 0, -1, 4, 1, -2, 1, 0, 1, -1, 1, 1, -1, 1, -2, 0, 1, 0, -1, -1, 0, -1, 0, 0, 1, 1, 4, -1, 1, -1, 1, 0, -1, 1, 1, -1, 0, -1, -1, -1, 0, 0, 1, 1, -1, 0, 1, -2, -1, 4, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 0, 0, 2, 0, -1, 1, -1, 2, 1, -1, 1, 2, 1, 1, 0, -1, 0, -1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 2, 1, -1, 1, -1, -2, -1, 0, 1, 0, -1, 0, -1, 0, -1, -1, 2, 1, 4, 0, -2, 0, 2, 0, -1, -1, -2, -1, -2, -1, 0, 0, 1, -1, 1, -1, -2, 0, 1, -1, 0, 4, -1, 0, -1, 0, 2, -1, 2, 0, 0, 1, -1, 0, 2, 1, -1, 0, 1, 2, 0, -1, -2, -1, 4, 0, -1, 0, -1, 1, 0, 0, 2, 0, 1, -1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 4, 2, 2, -1, 1, 0, -1, 1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 2, 2, 2, -1, -1, 2, 6, 1, -3, 1, -2, -2, 1, -2, 1, -1, 1, 1, -1, 0, -1, 1, 2, 1, 0, 0, 0, 2, 1, 4, -2, -1, 0, -2, -1, 2, 0, 1, 2, 0, -2, 2, 1, 2, 1, -1, -1, 2, -1, -1, -3, -2, 6, 1, 1, 1, 1, 1, -2, -1, -2, 1, -1, 0, -1, -2, -1, 1, -1, -1, 1, 1, 1, -1, 1, 4, -1, 0, 3, -1, 1, -1, -1, 1, -1, -1, 0, -2, 1, -1, -2, 2, 0, 0, -2, 0, 1, -1, 4, 1, 0, 1, -1, 1, 0, 1, -1, 0, 1, 1, -1, -2, -1, 0, 0, -1, -2, -2, 1, 0, 1, 4, 1, 0, 0, 0, -1, -1, 1, -1, -1, -1, -1, -1, -2, 0, 2, 1, 1, -1, 1, 3, 0, 1, 6, -1, 0, -2, -1, 1, 0, -1, 0, 0, 1, 0, -1, 1, 0, 1, -2, 2, 1, -1, 1, 0, -1, 4, 0, 1, 1, -1, -2, 2, 1, 0, 0, 1, 0, -1, 1, 0, 1, 0, -2, 1, -1, 0, 0, 0, 4, 0, 1, 0, -1, -1, 2, -1, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 1, 0, -2, 1, 0, 4, 0, -1, -1, 0, 1, 0, 0, -1, 1, 2, 0, 1, 1, 2, -2, -1, 0, -1, -1, 1, 1, 0, 6, 0, -1, 1, 2, 3, 0, 0, -1, 1, 0, 0, 1, 0, 1, 1, 1, -1, 1, -1, 0, -1, 0, 4, -2, 0, 1, 0, -1, -1, 1, -1, 1, -1, -1, -2, -1, -1, -1, 1, 0, -2, -1, -1, -1, -2, 6, -1, -1, 1, 0, 0, -1, 0, 0, 1, 0, 2, 0, -1, 0, -1, -1, 2, -1, 0, 1, 0, -1, 4, 0, 1, 0, -1, -2, 1, 2, -1, -1, 1, -1, 0, 1, -1, 0, 1, 2, 1, 2, 1, -1, 0, 6, 2, -1, -1, 0, 2, 0, 1, 1, 2, -2, -2, 1, -1, 0, 0, -1, 0, 3, 0, 1, 1, 2, 6, 0, 2, 1, 0, 0, 2, 2, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, -2, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, 2, 1, -2, 1, 0, 2, 4, -2, -1, -1, 0, -2, 1, 1, 1, 0, 0, -1, 0, 1, 1, 1, 1, 0, -2, 1, 1, -2, -2, 4, 1, 2, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -2, -1, 2, -2, 0, 0, -1, 1, 4, 2, 1, 1, -2, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 0, 1, -1, -1, 2, 2, 4, 1, 1, -2, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, -2, 1, -1, 0, 1, 0, -1, 1, 1, 4, -1, 0, 1, 2, -2, 0, 1, -1, 0, 1, -1, 1, 0, -1, 0, 0, -2, -2, 2, 1, 1, -1, 4, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, -2, -1, 2, 0, 0, 0, 1, -1, -2, -2, 0, 0, 4, 1, 0, 1, 0, 1, 0, -1, 1, 0, -1, 0, -1, 0, -1, 1, 1, 0, -1, 0, 1, -2, 1, 4, 1, 0, 0, 0, 0, -1, 2, -1, 0, 1, -1, -1, 0, 1, 1, -1, 1, 1, 2, -2, 0, 1, 4, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, -1, -1, -2, 0, 1, 0, 0, 4, 0, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 1, 0, -1, 1, -1, 0, -1, 2, -1, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, 0, 1, -1, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 4, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 1, 4, -1, 0, 1, 0, -1, 1, 2, 1, 1, 0, -1, 0, 1, -2, 1, 2, 1, 1, 0, 1, 0, -1, 4, 1, 0, 0, -1, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, -1, 0, 1, -1, -1, 2, 0, 1, 4, 0, 0, 0, 1, 0, 2, 1, -2, 1, -1, 1, -2, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 4, 1, -1, 1, 1, 1, 0, -1, -1, -2, 0, -1, 0, 1, -1, 0, -1, 0, 1, 0, 0, 0, 1, 4, -1, 1, 0, -2, -2, 2, 1, 1, -1, 2, -1, -1, -1, 0, 0, -1, 0, -1, -1, 0, -1, -1, 4, 0, 0, 1, 1, -2, 0, -1, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, -1, 1, 1, 1, 0, 4, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 2, -1, 0, 2, 0, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, -2, -2, 1, -2, 0, -2, -1, 1, -2, -1, -1, 1, 1, 0, -2, -2, 1, 1, 2, 4, -2, -1, -2, -1, -1, -1, -1, -2, -1, 0, 0, -1, -2, 1, 1, -1, -2, -2, 1, 1, -2, -2, 4, 2, 2, 1, 1, 2, 0, 2, 2, -1, 0, 1, 0, -1, -1, 0, 1, 2, -1, 0, -1, -1, 2, 4, 1, -1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, -1, 1, 1, 0, -2, -2, 2, 1, 4, 2, -1, 2, -1, 2, 1, -1, 0, 1, 0, -1, 0, 1, 0, 1, -2, -1, -2, -1, 1, -1, 2, 6, -3, 1, 1, 1, 0, -1, 1, -1, 1, 0, -2, 1, 2, 1, -3, 0, 1, -1, 1, 2, -1, -3, 6, 1, 1, 1, 0, 2, -2, 2, 1, 0, 1, 1, -1, 1, 3, 0, -2, -1, 2, 1, 2, 1, 1, 4, -1, 2, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, 1, -1, 4, 0, 0, 1, -1, 0, 2, 1, 0, 0, 0, 0, 0, 0, -2, -2, 2, 1, 2, 1, 1, 2, 0, 4, 0, 0, 0, 2, 0, 0, -1, 0, 1, 2, -1, 0, -1, -1, 2, 1, 1, 0, 0, 0, 0, 0, 4, -1, 0, 0, 0, -2, 0, 0, 0, 1, -1, -1, 1, 0, -1, 1, -1, -1, 2, 0, 1, 0, -1, 4, 0, 0, 0, 2, 0, 1, -1, 0, 2, 1, -2, 0, 0, 0, 0, 1, -2, 0, -1, 0, 0, 0, 4, 0, 0, 0, -1, -1, 2, 1, 0, 0, -1, -1, 1, 2, 1, -1, 2, 1, 0, 2, 0, 0, 0, 4, 0, 0, 1, 0, -1, 1, 1, 0, -1, -2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 4, -1, 0, 1, 2, 1, 0, -2, 1, 1, -1, 1, -1, 0, 0, -1, 1, 0, -2, 2, 0, 0, -1, 4, 0, -1, -1, -1, 1, 2, 1, 1, -1, 1, 0, -2, 1, 0, 0, -1, 0, 0, -1, 1, 0, 0, 4, 0, -2, -1, 1, -1, 0, -1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 4, -1, 1, 1, 0, -2, -2, 1, -1, 0, 2, -1, 1, 0, 1, 0, -1, 2, -1, 2, -1, -2, -1, 6, 1, -2, -1, -2, -2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, -1, -1, 1, 1, 4, 1, 0, 1, 1, -1, 1, -2, -3, 3, -1, 0, -1, -1, 2, 0, 1, 0, 1, 1, 1, -2, 1, 6, 1, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, 0, 0, -2, 2, -1, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, -1, 0, 1, -1, 2, -1, -1, -1, -1, -1, 0, 0, 1, 0, 0, 1, 2, 4, -2, -1, -1, 0, -1, 0, -1, 1, 1, -2, 0, -1, -1, 1, -1, -1, 1, 1, -1, 2, -2, -2, 4, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, -2, 0, 0, -2, 0, -1, 1, 4, 2, -1, -1, -1, 2, -2, 0, 2, -2, -1, 2, 1, 2, 1, -1, -1, 1, -1, -1, -1, 2, 2, 4, -1, 0, -1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, -1, 0, 0, -1, 1, 0, 1, -1, -1, 6, -1, 0, 0, 0, 3, 0, 0, 2, -2, -2, 1, 1, -2, -1, -1, -1, -1, -1, 0, -1, 0, -1, 4, -1, 0, 0, -1, 1, 1, 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, 0, 1, -1, -1, 0, -1, 4, 0, 1, 0, -2, 0, 1, -1, 0, -2, 0, 0, 0, -1, -1, 1, -1, 0, 2, 0, 0, 0, 0, 4, -2, 1, 0, -2, 0, 1, 0, 1, 0, -1, 0, 0, -1, -1, 1, 0, -2, 0, 0, 0, 1, -2, 4, 0, -2, 1, 1, -1, 1, -1, 0, 1, 0, -2, 0, 2, 1, 0, 0, 0, 3, -1, 0, 1, 0, 4, 0, -1, 1, -1, -1, 1, 0, -1, 0, -1, 0, -1, -2, 1, 2, 2, 0, 1, -2, 0, -2, 0, 6, -1, 0, 2, -1, 3, 0, -1, 0, 1, 0, -1, 0, 0, -2, 0, 0, 1, 0, -2, 1, -1, -1, 4, 1, -1, -1, -1, -1, 1, 1, 0, 0, -1, -1, 2, -1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 4, 0, -1, 0, 0, -1, 0, -1, -2, -1, -1, 1, 2, 2, -2, 1, -1, 1, -1, -1, 2, -1, 0, 4, 1, 1, -1, -1, 0, 1, 0, -1, 1, 0, 1, 0, -2, 0, 0, 0, 1, -1, -1, -1, -1, 1, 4, 0, 0, 0, 0, 0, 1, 0, -1, 1, 2, 2, 1, 0, -2, 1, -1, 1, 3, -1, 0, 1, 0, 4, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 4, 0, -2, 1, -1, 1, 1, -2, -1, -1, -2, 0, 0, -1, 1, -1, -1, 1, -1, -1, 0, -1, 0, 4, 0, 0, 1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 4, 0, 1, 0, -1, 0, 1, 0, -1, 1, -1, 0, -2, -1, 1, 0, -1, 1, 0, 0, 1, 0, 0, 4, 0, 1, 2, -2, -1, -1, -1, 1, -1, -1, 0, 0, 0, 0, -2, 0, 1, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -2, 2, -2, 2, 1, 1, 1, -2, 1, -1, 2, 0, -1, -1, 1, 1, -2, 0, -2, -1, 4, 0, 1, -2, 1, -2, 1, 0, -1, 2, 1, -1, -2, 0, 2, -1, -2, 1, -1, 0, -1, 2, 0, 4, -1, 2, -2, 0, 2, 0, 0, -2, 0, -1, 1, 1, -1, -1, 1, 0, -1, -1, -1, -2, 1, -1, 6, 1, 1, -2, 1, 2, -2, -1, 0, 1, 1, -1, 2, -2, -2, 0, 3, 1, 1, 2, -2, 2, 1, 6, -1, 1, 0, 1, 0, -3, -1, -1, 2, -1, -2, -1, 2, -1, 0, 1, -1, -2, 1, -2, 1, -1, 4, -2, -1, -1, -1, 1, -1, 1, -2, 0, 1, 0, -1, -1, 0, 0, 1, 2, -2, 0, -2, 1, -2, 4, 0, 0, 2, 0, 0, 0, 2, -1, -1, 1, 2, 0, 0, 1, -1, 1, 1, 2, 1, 0, -1, 0, 4, 0, 0, -1, 0, 0, 1, 1, 1, -1, 0, 0, 0, -1, -1, 1, 0, 0, 2, 1, -1, 0, 0, 4, 0, -2, 1, 0, 1, 0, 1, -1, -1, 1, 0, 0, 0, 1, -1, 0, -2, 0, -1, 2, 0, 0, 4, 0, 0, -1, 0, 1, -1, 0, 2, 0, -1, -1, 0, -2, 2, -2, -1, -3, 1, 0, -1, -2, 0, 6, 1, 0, -3, -1, 0, 1, -1, 1, -1, 1, -1, 1, 1, 0, 0, -1, -1, 0, 0, 1, 0, 1, 4, 0, 1, -1, 0, -1, -1, 1, 0, 1, -1, -1, -1, -1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, -2, 1, 1, 2, -2, 2, 1, 1, 0, -3, 1, 0, 6, -2, 0, -1, 1, -1, 2, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 0, 1, -1, -1, 0, -2, 4, 0, 0, 0, 0, -1, -2, 1, -1, 2, -1, 2, -2, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 4, 0, -2, 0, 1, 0, 1, -1, -1, -1, -2, -1, 0, 1, -1, -1, 0, 1, -1, 1, -1, 0, 0, 4, 1, -1, 0, 0, 1, 1, -2, 1, -2, 2, -1, 2, 0, -1, 2, -1, -1, 0, 1, 0, -2, 1, 4, -1, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, -1, 4, -2, 0, -1, -2, -1, -1, 3, 0, 0, 0, 0, 0, -1, -1, 0, 1, 2, -1, 1, 0, 0, -2, 6, 2, 2, 0, 0, -1, 1, 1, 0, 1, -1, 0, -1, 1, 1, 0, 1, -2, 0, 0, 0, 0, 2, 4, -1, -2, -1, -1, 1, -1, 1, -1, -1, 0, 0, -1, -1, 1, 0, 1, 1, 1, 0, -1, 2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -2, 1, 1, -1, -1, -2, 0, -1, -2, 0, -1, -1, 2, 0, -1, 0, -1, 2, -1, 4, -1, -1, 0, -2, -2, -1, -1, 1, 0, 1, 1, 1, 1, 1, -1, -1, 0, 1, 1, -2, -2, -1, 4, -2, 2, 0, 0, 1, 1, 1, -1, 1, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 2, -1, -2, 4, -2, 0, 2, 0, 0, -1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 2, -2, 0, 2, -2, 4, -1, -1, 0, 1, 2, 0, 1, 0, 1, -1, 1, -2, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1, 4, 0, 0, 1, -1, 1, 0, 0, -2, -1, 0, 1, 0, 1, 0, -1, 1, 1, -2, 0, 2, -1, 0, 4, 1, 1, -1, -1, 0, -1, -1, -1, 0, 1, 1, -1, -1, 0, 1, -1, -1, 1, 0, 0, 0, 1, 4, 0, 1, 1, 1, 1, 0, 1, 1, -1, 1, -1, -1, 0, 1, -1, -1, 1, 0, 1, 1, 1, 0, 4, 0, 0, 1, 0, 0, -1, 1, 0, -1, 0, 1, 1, -1, -2, 1, 1, -1, 2, -1, -1, 1, 0, 4, 1, 1, 0, 1, 1, 1, -1, 1, 1, -1, 0, -1, 0, 0, -1, 0, 0, 1, -1, 1, 0, 1, 4, 1, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 1, 1, 1, 1, 4, 0, 0, -1, 2, -1, -1, -1, 0, 1, 0, -2, 1, 1, -1, 0, 0, -1, 1, 0, 0, -1, 0, 4, -1, 1, 0, -2, -1, 0, 1, 1, 0, 0, 1, 0, 0, 1, -2, -1, 0, 0, 1, 0, 0, -1, 4, 0, 0, 0, -1, -1, 1, 1, 0, -1, 1, -1, 0, -1, -1, -1, 1, -1, 1, 1, -1, 1, 0, 4, -1, 0, 1, 1, -1, 0, -2, -1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, -1, 4, -1, 0, 0, 0, 0, 0, 2, -1, -1, 1, -2, 1, 1, -1, 0, -1, 0, -1, -2, 0, 0, -1, 4, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 4, 1, -2, -1, 0, -1, 0, 0, 0, 0, 1, -1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 1, 4, -1, -1, -1, 0, 1, 0, 0, 0, 0, -1, -1, 1, -1, -1, 0, 1, 1, -1, 0, 0, -2, -1, 4, 2, 0, -1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 2, 4, -1, 2, -2, 0, 2, 0, 1, 1, 1, -1, -1, 0, 0, 0, 0, -2, 0, -1, 0, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, 1, -1, -2, -1, 1, 1, 1, -1, 1, -1, 0, 1, 1, 1, -2, 0, 0, -2, 4, -1, -1, 2, -1, 1, 2, 2, 0, 0, -2, 2, -1, 0, 0, 0, -1, -1, 2, 1, 1, 0, -1, 4, 2, -1, 2, -1, -1, -2, -1, -1, -1, 1, 2, 1, -1, -2, 2, -1, 0, 0, 1, 1, -1, 2, 4, -1, 2, -1, -1, -2, -1, 0, 0, 0, 2, 0, 0, -2, 2, 0, -1, -1, 1, -2, 2, -1, -1, 4, -2, 0, 2, 1, 0, 0, -2, 2, -1, 0, 0, -1, -1, -1, 2, 0, 1, 1, -1, 2, 2, -2, 4, 0, -1, -2, 0, 0, 1, -1, 2, 0, 0, -1, 2, -1, -1, 0, 1, -1, 1, -1, -1, 0, 0, 4, 2, 0, -1, 1, 0, 1, -1, 1, -1, 0, -1, 1, 1, 1, 0, -2, 2, -1, -1, 2, -1, 2, 4, 1, 0, 0, -2, 2, -2, 0, 0, -1, -1, -1, 2, 0, 1, -1, 2, -2, -2, 1, -2, 0, 1, 4, 1, 0, 0, 1, -2, -1, 0, 2, -1, 0, 0, 1, -1, 1, 0, -1, -1, 0, 0, -1, 0, 1, 4, -1, 1, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 4, 1, -1, 0, -1, -1, 1, -1, 1, 0, 0, 0, 1, -2, -1, 0, -2, 1, 0, -2, 0, 1, 1, 6, -2, 1, 1, 1, 2, 1, 1, -2, -1, -1, -1, 2, 1, 0, 2, -1, 1, 2, 1, 0, -1, -2, 6, -1, 2, -1, -1, 0, 0, 2, 1, 2, 1, -1, 2, 2, -1, 2, -1, -2, -2, 0, 0, 1, -1, 4, 0, 0, -1, 2, -1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, 1, 2, 0, 4, -1, -1, 0, 1, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, -1, 0, -1, 4, 1, 0, -1, 0, 0, 0, 1, 0, -2, -2, -1, -1, 0, -1, 2, 1, 1, 2, -1, -1, -1, 1, 4, -1, 1, -1, 1, -1, 1, -1, 2, 2, -1, 2, -1, -1, -1, 1, -1, 1, 0, 2, 0, 0, -1, 4, -1, -1, 0, 1, 1, -1, -1, 0, -1, -1, 1, -1, 0, -1, 1, 1, 0, -1, 1, -1, 1, -1, 4, -1, 0, -1, -2, 2, 0, -1, 2, -1, 1, 2, 0, -1, 0, -2, 2, -1, 1, 0, -1, -1, -1, 4, 1, 1, 0, 1, 0, -1, 0, 0, 1, 0, 1, -1, 0, -1, 1, 0, -1, 0, 1, 0, 0, 1, 4, -1, 0, 1, 1, 1, 1, 1, 0, 1, -1, 1, 0, -1, 2, 1, 1, 0, -1, 1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, 0, -1, -1, 1, 0, 2, 0, -1, 1, -1, -2, -1, -1, 0, 1, 0, 1, 0, 0, 4, 2, -1, 2, 0, 0, 1, -2, -1, 0, -2, 1, -1, 1, 1, 1, 0, -1, 0, -1, 2, 0, 2, 4, 0, 2, 0, 1, 1, 0, -1, 1, -1, 0, 0, 2, 0, 2, 1, -1, 1, -1, 1, 2, -1, 0, 4, 0, 0, -1, 1, 1, 1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 4, 1, 1, 0, 0, -2, 0, -1, -1, 1, 0, 1, 0, -1, -1, -1, 0, 1, -1, 0, 0, 0, 1, 4, -1, 1, 1, -1, 1, 1, 0, 0, -1, 2, 1, -2, 0, 1, 0, 0, -1, 0, 1, -1, 1, -1, 4, 0, -1, -2, 0, 1, -1, 0, 2, 0, 1, 1, -1, -1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 4, 0, 1, 0, 0, 2, -1, 1, 1, 1, 0, -1, 1, 1, 1, 0, -2, 0, 1, 0, 1, -1, 0, 4, 0, 0, 1, -1, 1, 0, 0, -1, -1, 0, 1, 1, -1, 2, -1, -1, 1, -2, -1, -2, 1, 0, 6, 1, 0, 2, -1, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, 4, 0, 1, -1, 0, 0, 2, 1, 1, 0, -1, 0, -1, -2, -1, 0, -1, 1, 1, 0, 1, 0, 0, 4, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, 1, 1, 0, 0, -1, 0, -1, 2, -1, 2, 1, -1, 4, -2, 1, 0, 1, 0, 1, 1, 0, 1, -1, -1, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0, -2, 4, -1, 0, -1, 0, -1, -1, 1, -1, -2, 1, 2, -1, 0, -1, 2, 1, 0, 0, 0, 0, 1, -1, 6, 0, 1, 1, -1, 1, -1, 2, -1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 4, 1, -1, -2, 0, 1, 2, -1, 1, 2, -1, 0, 1, 1, 1, -1, -1, 2, 0, 1, -1, 1, 1, 4, 1, 0, 1, -1, 1, 0, 0, 1, 0, -1, -2, 1, 0, -1, 1, 1, -1, 0, 0, 1, -1, 1, 4, 0, 0, 0, 0, 1, -1, -1, 0, -1, 0, -1, -1, 0, 0, 1, -1, 1, -1, -1, -2, 0, 0, 4, 0, -1, -1, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 4, 0, 0, 1, -1, -1, 2, 0, 0, 0, 1, 1, 1, -1, 1, 0, 1, -1, 1, -1, 0, -1, 0, 4, 0, 0, 2, 1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 1, -1, 2, 2, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 1, -1, 1, -1, 1, 1, -1, -1, 0, -2, 0, -1, 1, -1, 1, -2, 0, 0, 2, 4, -1, -1, -1, -2, 0, 1, 1, 1, 0, -1, 0, -2, 0, 0, 1, 0, 0, -2, 0, 0, -2, -1, 4, -2, 1, 2, -2, 1, -2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, -1, 0, 1, -1, -2, 6, 2, 1, 3, -3, 1, 0, -3, -2, 0, 1, 1, -1, -2, -2, -1, 1, -1, 2, 1, -1, 1, 2, 6, 3, -1, -3, -2, -1, -1, -2, 0, 1, 1, 2, 1, 1, 1, 1, -1, 2, -1, -2, 2, 1, 3, 6, -2, -3, -1, 1, 1, -1, 0, 2, 2, 1, -1, 2, 2, 2, -2, 1, 1, 0, -2, 3, -1, -2, 6, -1, 1, -1, -2, 0, 1, 0, 1, -1, -2, -2, -1, 0, -1, 1, -1, 1, 1, -3, -3, -3, -1, 6, -1, 1, 1, 1, -1, -1, -1, 0, 0, -1, 0, -1, 1, -1, 1, 1, -2, 1, -2, -1, 1, -1, 4, 0, 0, 0, 1, -1, 0, -1, -1, -1, 0, -1, 0, 0, 1, 1, 0, 0, -1, 1, -1, 1, 0, 4, 1, 0, -1, 0, 1, -1, 0, 0, 1, 0, -1, 0, -1, 0, 2, -3, -1, 1, -2, 1, 0, 1, 4, 1, 1, 0, 1, 1, 1, 1, 1, 0, -1, 0, -1, -1, 1, -2, -2, -1, 0, 1, 0, 0, 1, 4, 1, 0, -1, -1, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 0, 0, 1, -1, 1, -1, 1, 1, 4, -1, 1, 0, 0, 0, 1, -1, -1, 0, -2, -2, 1, 1, 1, 2, 0, -1, -1, 0, 0, 0, -1, 4, 0, 1, -1, 1, -1, 2, -1, 1, 0, 0, 1, 1, 1, 2, 1, -1, 0, 1, 1, -1, 1, 0, 4, 1, -1, 0, 1, 1, -2, 2, -1, 0, 2, -1, 2, 1, -1, 0, -1, -1, 1, -1, 0, 1, 1, 4, 1, 1, 0, 1, -1, 2, 1, 1, 0, -2, 1, -1, -2, 0, -1, 0, 1, 0, 0, -1, -1, 1, 4, 1, 0, -1, 1, 0, -1, 0, 1, -2, 1, 2, -2, -1, -1, 0, 1, 0, 0, 1, 0, 1, 1, 4, 1, 1, 0, 0, 1, 0, 1, -1, 1, 2, -1, 0, 0, 1, 1, 0, 1, -1, 1, 0, 0, 1, 4, -1, -1, 0, -2, -2, 1, 1, 1, 2, 0, -1, -1, 0, 0, 0, -1, 2, 1, 1, -1, 1, -1, 4, 0, 1, 0, 0, -1, -1, -1, -2, -1, 1, 0, -1, -1, 1, -1, -1, -2, -1, 1, 0, -1, 0, 4, -2, 0, 0, 0, 2, 2, 1, 1, -1, 0, 0, 0, -2, 0, 1, 2, 2, 0, 0, 0, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 1, 2, 1, -2, 1, 2, 0, -1, -2, -1, 2, -1, 0, 2, -2, 0, 0, 0, 1, 0, 6, -2, 0, 0, 2, 0, 3, 1, -3, 0, 0, 2, -1, -2, -2, 1, -3, 3, -1, 0, 1, -2, -2, 6, 0, -1, -2, 1, -2, 0, 3, -1, 1, 0, -1, 2, 0, -1, 0, -1, -1, 1, 1, 1, 0, 0, 4, 0, 0, 0, 0, 2, 2, -1, 0, -1, 1, -1, 1, -1, -2, 1, 1, 1, 0, 2, 0, -1, 0, 4, 0, -2, 1, 1, 0, 1, -2, 0, 1, -1, 1, 1, -1, -1, -1, -1, 0, 1, 2, -2, 0, 0, 4, -1, 2, 1, -1, -1, -1, 0, 1, 0, -1, 2, -1, 1, 1, -1, 1, -2, 0, 1, 0, -2, -1, 4, -2, 0, -1, 0, 2, 1, -2, 1, -1, -2, 1, 1, 0, 0, 0, 1, 3, -2, 0, 1, 2, -2, 4, 0, -1, 0, -1, 1, 1, -2, -1, 1, -2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 4, 0, -1, -1, -1, 1, 0, 0, 1, -3, 1, 0, 0, 1, 0, -3, 3, 2, 0, -1, -1, -1, 0, 6, -1, 0, -2, 1, 0, 2, -1, 1, -2, 0, 1, 0, -1, 0, -1, -1, 1, -1, 0, 0, -1, -1, 4, 1, 1, 0, -1, 1, -1, 1, -1, -1, 0, -2, -2, 0, 1, 0, -2, -1, 2, -1, -1, 0, 1, 4, 0, -2, 0, 0, -2, 1, 0, -1, 0, -1, -1, 2, 0, -1, 0, 0, 1, 1, -1, -2, 1, 0, 4, -1, 0, -2, 0, 0, 1, 0, 1, 1, 2, -1, -1, 1, 1, 1, -2, 1, 1, 1, 0, -2, -1, 4, -1, 1, 1, -1, -1, 1, 1, 0, -1, -2, 2, -1, -1, 0, 1, -2, 0, 0, -1, 0, 0, -1, 4, -1, 0, 1, 0, 1, -1, 1, 0, -2, 0, 1, 1, -1, -1, -1, 0, 2, 1, 0, -2, 1, -1, 4, 0, 1, -2, 0, 0, -1, 2, 1, -1, -1, 1, 2, -2, 1, 1, -1, -1, -2, 0, 1, 0, 0, 4, -1, 0, 0, 0, 2, -2, -3, 0, -2, -1, -1, 1, -2, -3, 1, 1, 1, 0, -1, 1, 1, -1, 6, -2, 1, 0, -1, 0, 3, -1, 1, -1, 1, 1, 1, 1, -2, -1, 0, 1, -1, 0, -2, 0, -2, 4, 0, 0, 1, 0, -1, -1, 1, -1, 1, 0, 0, 0, 0, -1, -1, 0, 1, 1, 0, 0, 1, 0, 4, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 4, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, -2, -1, 1, 0, 1, -1, 2, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, 0, -1, 0, 1, 2, -1, 1, 1, 1, -2, -1, -1, 1, -1, -1, 2, 2, 0, 4, 0, 0, 0, 2, -1, 2, 1, 1, 1, 1, -1, 0, -1, -1, -2, 0, 0, 0, 1, 1, 0, 0, 4, -2, -2, 1, 0, 0, -1, 0, 1, 2, 0, 1, 1, 1, -1, 0, 1, 0, 2, 2, 0, 0, -2, 4, 0, -1, -1, 1, 0, 0, -2, -2, 0, -1, 0, 0, 0, 1, -2, -1, -1, 0, 1, 0, -2, 0, 4, -1, 1, -1, 2, 0, 0, -1, 0, 1, -1, -2, 0, -1, 0, 1, 0, -1, 0, 2, 1, -1, -1, 4, -1, 2, -1, 1, 0, 2, -1, -1, -1, 1, -1, -1, 1, 1, 2, 0, -1, -1, 0, -1, 1, -1, 4, 0, 0, -2, 0, 0, -1, 1, 0, 0, 2, 0, 1, 0, -1, -2, 0, 2, 0, 1, -1, 2, 0, 4, -1, 1, -1, 1, -1, 0, -1, 1, -1, 1, 0, -1, 0, 0, 1, 1, -1, 0, 2, -1, 0, -1, 4, 0, 1, -1, 0, 1, -1, -2, 0, -1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, -2, 1, 0, 4, -1, 0, 1, 1, -2, 0, -2, 0, -1, 0, 2, 1, -1, 1, 1, -2, 0, 0, 0, -1, 1, -1, 4, 1, -1, 1, 1, 0, -1, -1, 2, 1, -1, 1, 1, 1, 2, -2, -1, 2, 0, 1, -1, 0, 1, 6, -2, 0, -1, 0, -1, 0, 2, 0, 1, 3, 1, -1, 0, 0, 0, -1, -1, -1, 0, 1, -1, -2, 4, 0, 0, 0, 0, 0, -2, -1, 1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 1, 1, 1, 0, 0, 4, -1, 0, -1, 0, 0, 0, 1, 1, -2, -1, 1, 0, -1, -1, 0, -1, -1, -2, 1, -1, 0, -1, 4, 0, 0, 0, 1, 0, -2, 0, -1, -1, 1, 0, -2, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, -1, 2, -1, 0, -2, -1, -1, 0, -1, 0, 1, 4, 0, 0, 0, -1, -2, 1, 0, 0, 1, -1, -1, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 4, -1, -2, 0, 1, -1, 0, 1, -2, 0, 1, 1, 0, 0, -1, 2, 2, -2, 0, 1, 0, 0, -1, 4, 1, -1, 0, -1, 0, 0, -1, 1, 1, 0, -1, 1, 0, 1, 0, -1, 0, 0, 0, 0, -2, 1, 4, 1, -1, 2, 1, 2, -1, 0, 2, -1, 0, 0, 2, -1, 1, 1, 1, -2, 0, -1, 0, -1, 1, 6, 1, 2, 1, 2, 0, -1, 0, -2, 0, 0, 1, 1, 3, 0, 1, 0, 0, -2, 1, 0, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, -1, 1, 0, -2, 1, -2, 1, 1, 1, 1, -1, -1, -2, 2, 1, -1, 0, 2, 4, -2, -1, -1, -2, 0, -1, 0, 0, -1, 0, 1, 0, 2, 0, -1, 0, 0, 0, -1, 0, -2, -2, 4, 1, 2, 2, -1, 0, 0, 0, 2, -1, -1, -1, 0, 1, 0, 0, -1, -1, 1, 1, 0, -1, 1, 4, 2, 2, 1, 0, -1, -1, -1, 1, 1, 1, -2, 1, -1, -1, 2, 1, -1, 2, -1, -1, 2, 2, 4, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, -1, 2, -1, -2, 2, 2, 1, 4, 0, 1, 0, -1, 1, 0, 0, -1, -2, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 1, 0, 4, -1, 0, 0, -1, 1, 2, 1, 0, 0, 1, 0, 2, 1, -2, 1, 0, -1, 0, 0, 0, 1, -1, 4, -1, 1, 0, 0, 0, 1, -2, 0, 1, 0, 1, 0, 0, 0, -2, 0, 0, -1, 0, 0, 0, -1, 4, 0, 1, 0, -1, -1, 1, 0, 0, 1, -1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, 4, -1, 1, -1, 1, 1, 0, 1, -2, 2, 1, 1, 1, -2, -1, 2, -1, 1, 1, -1, 0, 1, -1, 4, -1, -1, -1, 1, 0, 1, 2, -3, -1, 1, -1, 1, 0, -1, 1, 1, 0, 1, 0, 0, 1, -1, 4, 0, 2, 0, 1, 0, -1, 1, 2, -1, 1, 1, 1, -1, 1, 1, 0, 2, 0, -1, -1, -1, 0, 4, 1, 0, 1, 0, 0, 1, 1, -2, 1, 1, 0, -1, 1, 1, -1, 1, 1, -1, 1, -1, 2, 1, 4, -1, 0, 0, -1, 1, 2, -1, 1, 1, 2, 0, -2, 0, -2, 0, -2, 1, 1, 1, 0, 0, -1, 6, -1, -1, 0, -1, -1, 1, 0, -1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 4, 1, 0, 0, 1, -1, 2, -1, -1, 0, -1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, -1, 1, 4, 1, 0, 0, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, 1, -2, 2, -1, 0, -1, 0, 0, 1, 4, -2, -1, 0, -1, 2, 0, -1, 2, 1, 0, 2, 1, -1, 2, -3, 1, 1, 1, -1, 0, 0, -2, 6, 1, -1, 2, 1, 0, -1, 1, 1, 0, 1, 0, 0, 1, -1, 2, 1, 2, -1, 1, 0, -1, 1, 4, 0, 1, -1, -1, 1, -1, -1, 0, -2, 0, 1, 1, 1, -1, -2, -1, 1, -1, 0, 0, -1, 0, 4, -1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, -1, 1, 1, 1, 0, 2, 0, -1, 2, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, 1, -2, -1, 0, -2, 2, -2, -1, 2, -1, 0, 0, -1, 0, 1, 1, 0, -2, 4, 0, 0, 1, -1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, -1, 1, 0, -1, -2, 0, -2, 0, 6, -2, -3, -2, 1, -1, -1, 2, -1, 2, 0, -1, 3, 0, 1, 2, -1, -2, 1, -1, 1, 0, -2, 6, 2, 1, 1, 2, 2, 1, 3, -3, 2, -1, -2, -2, 2, 0, 2, 0, -2, -1, 1, 1, -3, 2, 6, -1, 0, 0, 3, 0, 2, 0, 0, 1, -1, 1, -1, 1, 0, -1, -3, 2, 1, -1, -2, 1, -1, 4, -1, 1, 0, -1, 0, -1, 1, 0, -1, -1, 1, -2, 1, 2, 0, 0, -2, 2, 1, 1, 0, -1, 4, 2, 0, 2, 0, 1, 1, -2, 1, -1, 1, 1, 0, -1, -2, 0, -1, 1, -1, 2, 0, 1, 2, 4, 0, 1, 0, -1, 2, -1, -1, -2, 2, -1, 0, 1, -1, 0, 0, 1, -1, 2, 3, 0, 0, 0, 4, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, -1, -3, 1, -2, 2, 2, 1, 0, -1, 2, 1, 1, 4, 0, 1, 1, -1, 1, 0, 1, 2, 1, -2, -2, 0, 2, 0, -1, 3, 2, 0, 0, 0, 1, 0, 4, -2, 1, 1, -1, -1, 0, 0, 1, 0, -1, 0, -2, 0, 2, -3, 0, -1, 1, -1, 0, 1, -2, 6, -1, -1, 2, 1, -1, 1, 0, -1, 0, 1, -1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, -1, 4, -1, -1, -1, 1, -1, 0, 0, -1, 0, 2, 0, -1, -1, 1, 0, -2, -1, 0, -1, 1, -1, -1, 4, 0, 1, -1, -1, 0, 1, 1, 1, -1, 0, 3, -2, -1, -1, 1, -1, 0, 1, -1, 2, -1, 0, 4, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0, -2, 1, -1, -1, -2, 1, 0, -1, 1, -1, 1, 0, 4, -1, 1, -1, -1, 0, 1, 0, -1, 1, 2, -1, 1, 1, 2, 0, 1, 0, -1, 1, -1, 0, -1, 4, 0, 0, 0, 0, 0, -1, 1, 2, 0, 1, -2, 1, -1, 1, 2, 0, 1, -1, -1, 1, 1, 0, 4, 0, -2, -1, 0, 0, 0, -1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 4, 0, -1, 0, 1, -1, -2, 0, -1, 2, -1, 1, -1, -2, 0, -1, 0, 1, -1, -1, 0, -2, 0, 4, 2, 0, 1, -2, 1, -2, -3, 0, -2, -1, -3, -2, -1, 0, -1, 1, -1, 0, 0, -1, -1, 2, 6, -2, 0, 0, -1, -1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, 2, -1, 2, -1, 1, 2, 0, 1, -1, -1, 1, 0, 2, 1, 2, -1, -1, -2, 4, 1, 1, 2, -2, 1, -2, 1, -1, -1, -1, -1, -1, 2, -1, -1, 0, -2, -2, 1, -1, 0, 1, 4, 2, 2, -1, -1, -1, -1, -2, -1, 0, -1, -2, 2, -1, -2, 0, 0, 0, 1, -1, 1, 1, 2, 6, -1, 0, -2, 0, 1, 1, -1, -1, -1, 0, -1, 0, 0, 0, -1, 1, -1, 0, -2, 2, 2, -1, 6, -3, 1, -3, 1, -2, -2, 0, 0, -2, 1, -2, -1, -1, -1, -1, 1, -1, 2, -2, -1, 0, -3, 4, 0, 2, -1, 2, 1, 1, 0, 1, -1, 2, 0, 1, 2, 1, -1, 1, -1, 1, -1, -2, 1, 0, 4, -1, 1, -1, 1, -1, 0, -1, 1, -1, 0, 0, 0, -1, 1, -1, 2, -2, -1, 0, -3, 2, -1, 4, -2, 1, 1, 0, 0, 1, -1, 1, 0, 1, 2, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -2, 4, 1, -1, -1, 1, 1, -1, -1, 1, -1, -2, 0, -1, 0, 1, -1, -2, 1, -2, 2, -1, 1, 1, 4, 0, 1, 1, 2, -2, 2, 1, 0, 0, 1, -2, 1, 2, -1, -1, -1, -2, 1, 1, 1, -1, 0, 4, 0, 0, -1, 0, 0, 1, 1, 1, 1, 1, -1, 0, -1, 0, -1, 0, 1, -1, 0, -1, 1, 0, 4, -1, 1, 0, 1, -1, 0, 1, 0, -1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 0, -1, 4, 0, -1, 0, 1, 1, 0, 0, -1, -1, -1, -1, -2, 0, -2, 1, -1, 1, 1, 2, -1, 1, 0, 6, -3, 2, 2, -2, 0, 1, -2, 2, -1, 2, 2, -1, 1, -1, 1, -1, -1, -2, 0, 0, -1, -3, 6, -1, -3, 0, -1, -2, 2, -1, 1, -1, -1, 0, -2, 2, -1, 1, -1, 2, 0, 1, 0, 2, -1, 4, 1, 0, 0, 1, -1, 1, 0, -1, -2, 0, -1, 0, 0, 0, 1, 1, 1, -1, 1, 2, -3, 1, 4, -1, 0, 1, 0, 1, 2, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1, 0, 1, -2, 0, 0, -1, 4, 1, 0, 0, -1, 1, -2, 0, -1, -1, 2, 0, 2, -2, 0, 1, 1, 0, 0, -1, 0, 0, 1, 4, 0, 0, 1, 2, -2, 0, 1, -1, 1, -1, 1, 0, 1, 1, 0, 0, 1, -2, 1, 1, 0, 0, 4, 0, 0, -1, 1, 1, -1, 1, -1, 1, -1, -1, -2, 1, -1, -1, -2, 2, -1, 0, 0, 0, 0, 4, -1, -1, -1, -1, 0, -1, 1, -1, 1, 0, 1, -1, 1, -1, 2, -1, 1, 1, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 0, 1, -1, -1, 0, 0, 2, 1, -1, 0, 2, 0, -2, 1, 1, 1, -1, -2, 4, -2, 2, 2, 1, 0, 2, 0, 1, 0, -2, -1, 1, 1, -1, -1, 2, 0, -1, -1, 1, 2, -2, 4, -2, 0, -1, 0, -2, 1, -1, -1, 1, 1, 0, -1, 1, -1, -2, 1, 1, 0, -1, -2, 2, -2, 4, 1, 1, -1, 1, 0, 0, 1, -2, 0, 0, 0, -2, -1, 1, 0, 0, -1, 1, -2, 2, 0, 1, 4, -1, 0, 0, 2, 1, 0, -1, 0, 0, -1, -2, -1, 2, 0, 0, -2, 0, 0, 1, -1, 1, -1, 4, 1, 0, -1, 1, -1, -2, 0, 1, 2, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 4, -1, -1, 0, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1, 2, -2, 1, 0, 0, -1, 4, -1, 1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, 1, 0, 2, -1, -1, -1, 4, 1, 0, 1, 1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 1, 0, 0, 0, 1, 1, -1, 1, 0, -1, 0, 0, -1, 1, 0, -1, -1, 1, 0, 1, 4, 2, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 2, -2, 1, -2, -1, -2, -1, 0, 1, 1, 2, 6, 2, -1, -1, 0, 1, 0, 0, 2, 2, -1, 1, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 4, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 4, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, 2, 1, 0, 0, 0, -1, -1, 0, 0, 4, 1, 1, 0, -1, 0, 0, 0, 2, -1, 1, -2, -2, 0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 4, 1, -1, 0, 0, 1, -1, 0, -1, -1, -1, -1, 0, 1, 0, 0, 1, 1, 1, 0, -1, 1, 1, 4, 0, -2, 0, 1, -1, -2, 2, -2, 1, 2, -1, 0, 1, 1, 1, 1, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 1, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -2, 0, 4, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, -1, 0, 0, 0, 0, -1, 4, 1, -1, 1, -1, 0, -1, -2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 4, -1, -1, 1, -1, 1, 0, 0, -1, 1, -1, -1, 1, -1, 0, 0, 0, -1, -1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -1, 1, 1, 2, -2, -1, -1, 1, 0, -2, 0, 0, -1, -2, -1, 2, 1, 0, -1, 4, 0, 0, 2, 0, -1, 1, 1, 2, 0, -1, 1, 1, -1, 0, -1, 1, 1, 0, -2, 1, -2, 0, 4, -2, -1, -1, 0, -1, 1, -1, 1, 1, 0, 1, 0, 1, 1, 1, 0, -2, 1, 1, 2, 0, -2, 4, -1, 2, -1, 2, -2, 0, -1, 1, -1, 0, 1, -1, -2, 0, -1, 2, 1, 0, -1, 2, -1, -1, 6, -2, -2, 1, 3, 3, -1, -3, 0, 1, 0, -2, 1, 1, 2, -1, -1, 1, 1, 0, -1, 2, -2, 4, 1, 1, -1, 0, 1, 2, 1, 0, -1, 1, -1, 0, -2, 1, -1, 0, 1, -1, 0, -1, -2, 1, 4, 0, -1, -2, 0, 1, 1, -2, -2, 2, 1, -2, -1, 0, 0, -1, 2, 1, -1, 2, 1, 1, 0, 4, -1, 0, -1, 1, 0, -1, 0, -1, -1, 0, -1, 1, 1, 1, -2, 1, 1, -2, 3, -1, -1, -1, 6, 3, 1, 0, 0, 2, 0, -1, 2, 2, 1, -2, -2, 2, -1, 2, -1, 0, 3, 0, -2, 0, 3, 6, -1, 0, 1, 2, 0, -1, 1, 2, 2, -1, -2, 1, -1, 0, 1, -1, -1, 1, 0, -1, 1, -1, 4, 0, 1, 0, -1, 0, 0, 1, -1, -1, -2, 0, 1, -1, 1, 1, -3, 2, 1, 1, 0, 0, 0, 6, 1, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 1, 0, 0, 1, 1, 1, 4, -1, -1, 1, 1, -1, 1, 0, -2, 0, -2, 1, 1, 0, 1, 0, -2, -1, 2, 2, 0, 0, -1, 4, 0, 0, 0, 2, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, -2, 0, 0, 0, -1, 0, -1, 0, 4, -2, -1, 0, 1, 1, 1, 1, 0, 0, 1, -1, -2, 1, 2, -1, -1, -1, 0, 1, 1, 0, -2, 4, 1, -1, -1, 0, 0, 0, -1, -1, 1, -2, 1, -1, 1, -1, 2, 1, 0, 1, 1, 0, -1, 1, 4, 0, 1, -2, 0, 0, -2, 1, 1, 0, 1, 0, -2, 0, 2, 2, 1, 0, -1, 2, 0, -1, 0, 4, 0, -1, 0, 1, -1, 1, 0, -1, 2, -2, -1, -1, 1, 2, -1, -1, 1, 0, 1, -1, 1, 0, 4, -1, -1, 0, 2, 0, -2, 2, -1, 1, 0, 1, -2, -1, -1, 0, 0, -1, 1, 0, -2, -1, -1, 4, 1, 0, 1, -2, 1, 1, -1, -1, 0, 1, -2, -2, -2, 0, -2, 0, 1, 0, 0, 0, -1, 1, 6, 0, 0, 1, 1, 0, 1, 0, -1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, 2, 2, -1, 2, -1, 2, 1, 0, 1, -1, 1, -1, -1, -1, 2, -1, 2, 0, -1, 4, 0, -1, 0, 0, 1, -1, 1, -2, 1, -1, 1, 2, 0, -1, -1, -1, -1, -1, 0, 0, -2, 0, 4, 1, -2, -2, -1, -1, -1, -2, 0, 0, -1, -1, -1, 0, 1, 0, -1, 0, 0, -1, 1, -1, 1, 4, 1, 1, 0, 1, 0, 0, -1, -1, -1, -2, 1, 1, -1, 1, 1, 1, 2, -1, 2, 0, -2, 1, 4, 2, 0, 1, 1, 1, 0, 0, 0, -1, 1, 1, -2, 1, 0, -1, 1, 1, 2, 0, -2, 1, 2, 4, 1, 2, 0, 1, 0, -1, 0, -1, 1, 1, -2, 1, 0, -1, 1, 0, -1, 1, -1, 0, 0, 1, 4, -1, 2, -1, 0, 0, 0, 0, 1, 2, 0, 0, -1, 0, -1, -1, 2, -1, -1, 1, 1, 2, -1, 4, 0, 1, 0, -1, -1, -1, 1, 0, 0, 0, 1, 0, 1, 1, -1, 1, -1, 0, 1, 0, 2, 0, 4, -1, 0, -1, 0, 0, 1, 2, 0, 0, -1, 0, -1, 1, 2, -2, -2, 0, 1, 1, -1, 1, -1, 4, 0, 0, 0, 0, 0, -1, -1, 0, 2, 0, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 1, 0, 0, -1, 0, -1, 0, 1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, 0, 4, 0, -1, 0, 1, 1, 1, 0, -1, -1, 0, 1, 1, -1, -1, 0, 0, 0, -1, 0, 0, 2, 0, 4, 1, 0, -1, 0, 0, 1, -1, 0, 0, -1, 2, -1, -2, -1, -1, 0, -1, 0, 0, 0, -1, 1, 6, -2, -1, 1, -2, 0, 2, -1, 0, 1, 0, -1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, -2, 4, 1, -1, 0, 0, 0, 1, 1, -1, -1, 0, 1, 1, 1, 2, 0, 2, -1, 0, 1, -1, -1, 1, 6, 1, 2, -2, 1, -1, 1, -1, -1, 1, -1, -2, -2, 0, 0, 0, -1, 0, 1, 0, 1, -1, 1, 4, -1, 0, 1, -1, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, 1, 0, -2, 0, 2, -1, 6, 0, 1, 0, 1, 2, -1, -1, 1, 0, 0, -1, 1, -1, 2, 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 1, 0, -1, -1, 0, 1, -1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 0, 1, 1, 1, 0, 6, 1, 0, 2, 0, 0, 2, 1, 1, -1, 1, -1, 0, 0, -1, 0, -1, 1, -1, -1, 0, 1, 1, 4, -1, 0, 0, -1, -1, 1, 0, -1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 1, 1, 0, 1, -1, 1, 2, 1, 0, 2, -1, 2, 2, -1, 1, 1, 1, 1, 4, 0, -2, 0, 2, 0, 1, 0, 1, 2, 1, 1, -1, 1, -1, 2, 1, -2, 0, 2, -1, -1, 0, 4, 2, 0, 0, 1, -1, -2, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, -2, 1, 0, -2, -2, 2, 6, -1, -1, 0, 0, 0, 1, -2, -2, 0, 0, -1, 2, -3, -1, 2, 0, -1, 0, 1, 0, 0, -1, 4, 0, 2, -1, -1, 0, 0, 1, 1, 1, -1, 1, -1, -1, 1, -1, 2, 2, 1, 2, 0, -1, 0, 4, -1, 0, 0, -1, 1, 2, 1, -1, 0, -1, 2, 2, -1, 0, 2, -1, 1, 0, 1, 0, 2, -1, 4, 0, -1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, -1, 1, 2, 0, 1, -1, 0, -1, 0, 0, 4, 0, 0, 1, -1, 1, -1, 0, 1, -1, 0, -2, 0, 1, 0, 1, 0, -2, 0, -1, 0, -1, 0, 4, 1, -1, 1, -1, 0, 1, 0, 0, 1, -1, 2, -2, -1, -1, 1, 0, 1, 0, -1, 1, 0, 1, 4, 0, 0, 0, 1, 0, 1, -1, -1, 0, 1, -1, -1, 1, 2, 1, -2, 0, 1, 1, 1, -1, 0, 4, 0, 1, 0, 1, -1, 2, 1, -1, -1, 1, 0, 2, 1, -1, -2, 1, 2, 0, -1, 1, 0, 0, 4, 1, 1, 1, -1, 1, 2, -1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, -1, 0, 1, 1, 4, -1, 0, 1, 0, 0, -1, 0, 2, 1, 0, -1, 1, 0, 1, -1, 2, -1, 0, 1, 0, 1, -1, 4, 1, -1, -1, 0, 1, 0, -1, 0, 2, 1, 0, -1, -1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 4, -2, 2, 2, -1, 1, -1, 0, -1, -1, -1, 2, 1, -1, 0, 1, 0, 1, -1, -1, 1, -1, -2, 4, -3, -2, 1, 0, 0, 1, 2, 2, 0, -3, -1, 2, 0, -1, 0, -1, 2, 1, 0, -1, 2, -3, 6, 2, -1, 0, 0, -1, 2, 1, 0, -1, -1, 2, 0, 0, 1, -1, 1, 2, 0, 0, 2, -2, 2, 4, -1, 1, 1, 0, -1, -2, 1, 2, 1, -1, 1, -2, -1, 0, -1, -1, -1, 1, -1, 1, -1, -1, 4, -1, -1, 1, 1, 0, -2, 0, -1, 0, -1, 0, 2, 1, -1, 1, 0, 0, 1, 0, 0, 1, -1, 4, -1, -1, 1, 2, 1, -1, 2, 2, 1, 1, -2, -1, 1, 1, 2, -1, -1, 0, 0, 1, -1, -1, 6, 1, 1, -1, 0, 0, 2, -1, 2, 0, -1, -1, 0, 0, 1, 0, 0, 1, -1, 0, 1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 1, 0, 1, 1, 2, -1, -1, 1, 2, -1, 1, -2, -1, 2, 0, 2, -2, 1, 2, 4, 0, -1, 0, 0, 1, 1, 2, -1, 0, 2, 1, 0, 0, -1, -2, 0, 0, 2, 0, 1, 0, 0, 4, 1, 0, 0, 1, -2, -1, -2, 0, -1, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 0, -1, 1, 4, -1, 0, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, 2, -1, 0, 1, -1, -1, 1, 0, 0, -1, 4, -1, -1, 0, 0, -2, -2, 0, 0, 1, 1, 0, 0, 2, 0, -1, -2, 2, 0, 0, 0, 0, -1, 4, -1, 1, -1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, -1, 1, 1, 1, 0, -1, -1, 4, -1, 1, -1, 0, 1, 1, -2, 1, -1, 0, 0, -1, 1, -1, 0, 1, 1, -2, 0, 0, 1, -1, 4, 2, 0, 0, 1, -1, 0, 0, -1, -1, 0, 2, 1, 1, 0, 2, 2, -1, 0, 0, -1, 1, 2, 4, 0, 0, 2, 1, 0, 0, -2, -2, 0, 1, 2, -1, 0, -1, -1, -2, 1, -2, -1, -1, 0, 0, 6, 1, 0, 0, 1, -1, 1, 0, -1, 1, 0, 1, -2, -1, 0, 0, 1, -2, -1, 0, 0, 0, 1, 4, 0, 0, -1, -2, 1, -1, -2, -1, 1, 1, -1, 1, 2, -1, 0, 0, 0, 1, 1, 2, 0, 0, 4, 0, 0, -1, 0, -1, -1, 0, 1, 0, 0, 2, 1, 1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 4, -1, 1, -1, 0, 0, 0, 2, -2, 1, -1, 0, 0, 0, 1, 0, -2, 0, 0, 1, -1, 0, -1, 4, -1, 1, 0, 0, 0, -1, 1, 0, 1, 0, 1, -1, 1, 0, 1, 0, 0, -1, -2, -1, 1, -1, 4, -2, 0, 1, 1, 0, -1, 1, -2, -1, 0, 1, 0, 0, -1, -1, -2, 1, 1, 0, -1, 1, -2, 4, 2, -1, -1, -1, 1, 0, -1, -2, 1, 2, 0, 1, 0, -1, -2, 0, -1, -1, 0, 0, 0, 2, 4, 0, 0, -1, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, -1, -2, -1, 0, 0, 1, -1, 0, 4, 0, 0, -1, 1, 0, 0, -2, 0, 0, 1, -1, 2, 1, 1, -1, 0, 0, 0, 1, -1, 0, 0, 4, 0, 0, 0, 2, 2, 0, 1, -1, 0, 1, 1, 2, 0, 1, 1, 2, -1, 0, -1, -1, 0, 0, 4, 0, 0, -2, 0, 0, -1, -2, 2, -1, 1, -1, 1, 1, 0, -2, 1, -1, 1, 0, -1, 0, 0, 6, -2, 1, 1, 0, -1, 2, -1, 0, 0, 0, -2, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, 0, 2, -1, 0, 0, 0, 0, 0, -2, 1, 1, 0, 1, 0, 0, 0, 0, 1, -2, 4, 2, -2, -1, -2, 2, -1, -1, 0, 0, 1, 1, -1, -1, 0, -1, -1, 0, 1, 0, 1, -2, 2, 4, -1, 1, -1, 0, 1, 0, 0, 0, 1, 1, -1, -1, -1, 0, -1, 0, 1, -1, -1, 2, -2, -1, 4, 0, 2, -1, 1, 0, -1, 1, 0, -1, 1, 1, 1, 2, 0, 0, 0, -1, 0, 0, -1, 1, 0, 4, 1, 0, 2, 2, -1, -1, 1, 1, -1, 0, 0, -1, 1, 1, -1, 1, -2, 2, -2, -1, 2, 1, 4, -2, 0, 0, 0, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, 0, -2, 4, -1, 0, -1, -1, 1, 1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, 1, 1, 2, 0, -1, 4, 2, 0, -1, 0, 1, 1, 0, 0, 0, 1, 1, -1, -1, -2, 0, -1, 0, 0, 2, 0, 0, 2, 4, 0, -1, 1, 1, 0, 1, 1, 0, 2, 0, -2, 1, -1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 4, 1, -1, -1, 1, 1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, 1, -1, 1, -1, -1, -1, 1, 4, 0, 0, 1, 0, 0, 0, -1, -1, 1, -1, 1, 0, 1, 1, 0, 1, -1, 1, 0, 1, -1, 0, 4, 0, 0, -1, -1, 1, 1, -1, -1, 0, 0, -2, 1, 1, -1, 1, -1, 1, 1, 1, -1, 0, 0, 4, -1, 0, 1, -2, 0, -1, 0, 1, -1, 1, -1, -1, 1, -1, 0, -1, 1, 0, 1, 1, 0, -1, 4, -1, -1, 1, 0, 0, 0, -2, 0, 1, -1, -1, 1, 0, 1, 0, 0, 1, 1, 0, -1, 0, -1, 4, 2, 0, -1, 0, 0, 1, 1, 0, 0, -1, 1, 0, 1, 1, 0, 1, 0, 0, -1, 1, -1, 2, 4, 0, 0, 0, 0, 1, 1, 1, -1, 0, 2, -1, 0, -1, 0, 0, 0, 0, 1, -2, 1, 0, 0, 4, 0, 0, 0, -1, 1, 0, -1, -1, 0, 1, 0, 0, 1, 2, -1, -1, 1, 0, 0, -1, 0, 0, 4, 0, -2, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, -2, 1, 1, -1, 0, 0, 0, 0, 0, -2, 0, 4, 0, 1, 0, 0, -1, -1, 1, 0, 1, -1, 1, -1, -1, 0, 1, -2, 1, 1, -1, 1, 0, 0, 4, 0, 1, 1, -1, 0, -2, 0, 0, -2, -1, 1, 1, 0, -1, 0, 1, 1, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, 0, -1, -1, 0, 0, 2, 2, 0, -1, -1, -2, -1, 2, 2, 1, 2, 0, 0, 0, 4, 2, 0, -2, -1, -2, -1, 0, 1, 2, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 4, -1, -2, -2, -2, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, -1, 1, 1, 0, -1, 4, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, -1, -1, 1, 0, 1, 1, 1, -2, 0, -2, -2, 1, 4, 0, 2, 1, 1, -1, -1, 0, -1, -1, 1, -1, 1, 0, 0, 0, 1, 0, -1, -1, -2, 1, 0, 4, 2, 0, -1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, -2, -2, 1, 2, 2, 4, 0, 1, -2, -2, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 1, 1, 0, 0, 4, 0, 0, 1, 0, 1, 0, 0, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 1, 1, -1, 1, 0, 4, 1, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 1, 0, 2, 1, 1, 1, -1, -1, -2, 0, 1, 4, 1, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, -1, -1, -2, 1, -1, 1, 6, -1, 1, 0, -1, 0, 1, 1, 1, 1, 1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 4, 1, -1, 0, 0, -1, 1, -1, -1, 0, -1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 4, 0, 0, 2, -2, -1, -1, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 4, 0, 1, 0, -2, 0, 1, -1, 0, -2, -1, 0, -1, 1, 0, 1, 0, 0, -2, -1, 0, 0, 0, 4, 0, -1, -1, 0, -1, 0, 1, -1, 0, 1, -1, -1, -1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 4, -1, -1, -1, 0, -1, 1, 2, 0, 0, 1, 1, 0, 0, -1, -1, 0, 1, -1, -2, 0, -1, -1, 4, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, -2, -1, -1, 1, 4, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, -1, 1, 1, 2, 1, -1, -1, 0, 0, -1, 0, 0, 4, 1, 0, 1, 2, 0, 1, 1, 0, -1, -1, 1, 0, 2, 1, -1, -1, 1, -1, 0, 1, 0, 1, 4, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 1, 0, 0, 4, -1, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 2, 2, -1, 2, 1, -1, 0, 1, -2, 1, -2, 1, 0, 1, 1, 1, 1, 4, 2, -2, 0, 0, 0, 0, -2, 1, 0, 1, 1, -1, 1, -1, -1, 1, 1, 2, 0, 0, 2, 2, 6, 1, -1, 1, 2, 0, -3, 3, 0, 2, -1, 0, -2, 1, -2, -1, 2, 2, -1, 0, -1, -2, 1, 6, -2, 2, 1, 1, 1, 0, -1, 2, -2, 1, -1, 2, 1, 0, 0, -1, -1, 0, -1, 0, -1, -2, 4, -2, -1, -1, 0, -2, 0, 0, 1, 0, 2, 0, 1, 0, -1, 0, -1, 1, 1, 0, 1, 2, -2, 4, 2, 1, 0, 1, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, -1, 2, 4, 2, 0, 2, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, -1, 1, 2, 4, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, -1, -2, -3, 1, 0, 0, 0, 0, 4, -1, 0, -1, 0, 0, 0, 0, 2, 1, -1, -2, 1, 0, 2, 1, 3, 0, -2, 1, 2, 0, -1, 6, 2, 0, 1, 1, -1, 0, -1, 0, 0, 2, 1, 1, 1, 0, 0, -1, 0, -1, 1, 1, 0, 2, 4, -1, 1, 1, 1, 0, -1, 1, 0, 0, 0, 1, -1, 1, 2, 2, 0, 0, 0, 0, -1, 0, -1, 4, 0, -1, 0, 0, 1, 0, 1, 0, -2, -1, 0, 1, -1, -2, 1, 0, 0, 0, 0, 1, 1, 0, 4, -1, 2, -1, 1, 0, 0, 1, 0, 1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 4, -1, 1, -1, 1, -2, 0, 1, 2, -2, 1, -2, -1, 2, -2, -1, 0, 0, -1, 1, 0, 2, -1, 6, -1, 1, 0, 0, 1, -1, 1, 1, -1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, -1, 1, -1, 4, 1, 0, -1, 0, 0, 1, -2, -1, -2, 1, 1, 0, 0, 0, 2, -1, -1, 1, 1, -1, 1, 1, 4, 0, -1, -1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 4, -1, 0, 1, 1, 0, 1, 2, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, -2, 0, -1, -1, -1, 4, 0, -1, -1, 1, 2, 2, -1, 0, 0, 0, 0, -2, 2, 0, 0, 1, 0, 1, 0, -1, 0, 0, 4, 1, 1, 1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, -2, 0, 1, -1, 0, 0, 1, -1, 1, 4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 1, 2, 1, 1, 0, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, 0, 0, 1, 2, 2, 1, 1, 2, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 4, 1, -2, -1, 1, -1, 1, 2, 1, 1, 2, 1, -2, -1, -1, -2, -2, 0, 2, 1, 1, 2, 1, 4, -1, 1, 0, 0, 2, 1, 0, 0, 1, 0, -2, 0, -1, 0, -1, 0, 1, 1, 1, -1, -2, -1, 4, 0, -1, 1, -1, -2, -2, 0, -1, -1, 1, 1, 2, 2, 2, 1, -2, -1, 0, 2, -1, 1, 0, 6, -1, 2, 2, 1, -1, -1, 1, 0, -2, 0, 1, 0, 0, -2, 0, 1, -1, 0, 1, 0, -1, -1, 4, -2, 0, 0, 0, 2, 0, 1, 1, -1, -1, -2, 1, -1, -1, 1, -1, 0, -1, 0, 1, 2, -2, 4, 0, 0, -2, -2, 1, -1, -2, 1, 1, 2, 0, 0, 0, -1, 0, 1, 1, 2, -1, 2, 0, 0, 4, 2, -1, 0, 1, -1, -2, 0, -1, -1, -1, 0, 1, 2, 0, 2, 2, 1, -2, 1, 0, 0, 2, 4, 1, 0, 2, 1, -1, 0, -2, -2, -2, 0, 2, 1, 0, 2, 1, 0, -2, -1, 0, -2, -1, 1, 6, 0, 0, 2, 2, 1, -1, -1, -1, 0, 1, 1, 0, 1, 1, 0, 0, -1, 2, -2, 0, 0, 0, 4, 0, 1, 0, -1, 0, -2, 0, -1, 0, 1, 0, 1, 2, 1, -1, 1, 0, 1, 1, 2, 0, 0, 4, 0, -2, -1, 0, -1, -2, -1, 1, 1, 0, 2, 1, 0, -1, 0, 1, -1, -1, 1, 2, 1, 0, 4, 0, 1, -1, -1, -1, 0, 1, 0, 1, -1, -2, -2, 1, -2, 1, -2, -2, -1, 2, 0, -2, 0, 6, 0, 0, 0, 2, 0, -2, 0, -1, 1, -1, 0, 1, 0, -1, 1, 0, 0, 1, -1, -1, 1, 0, 4, -1, 1, 0, 2, 0, -1, 1, -1, -1, -1, 2, 1, -1, 1, -1, -2, -1, 0, 0, -1, 0, -1, 4, 2, 1, -1, -1, 0, 0, -1, -2, 0, 2, 0, -2, 2, -1, -2, -1, -2, -1, -1, 0, 1, 2, 4, 1, 1, -1, -1, 1, -1, -2, -1, 2, 0, 1, 0, -1, -2, -1, 0, -2, -1, 2, 0, 1, 1, 4, 0, -2, 0, -1, -1, 0, 0, 1, -2, -1, 0, 0, 0, 0, -1, -1, 0, 0, 2, -1, 1, 0, 4, 0, -1, 1, 1, 2, 1, -2, 0, -1, 0, 1, 2, 1, 0, 1, 1, -2, 0, -1, -1, -2, 0, 4, 1, 1, 1, 1, 1, -1, 1, 1, -1, 2, 1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -1, 1, 4, -1, 1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, 2, 0, 1, -2, 0, 2, 1, -1, 0, 1, 1, -1, 1, -2, 0, 2, 2, 1, 1, 4, 2, -1, -1, -1, -1, 0, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 1, 2, 4, -1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, -1, -1, 0, 1, -1, 0, 0, -1, -1, 4, 2, 2, -1, 1, -2, 0, 1, 0, -1, 0, 0, 1, 1, 0, -1, 0, 2, 1, 2, -1, -1, 2, 6, 3, 1, -2, 0, 2, 1, -2, 1, 2, 2, -1, 0, -1, 1, 1, 1, 2, 0, -1, -1, 2, 3, 4, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, 1, -1, 0, -1, 1, 0, 4, 0, 0, 1, 0, 0, 1, 2, 0, -2, 1, 0, 2, 0, 1, 0, -2, 0, 0, 1, -2, 0, 0, 4, -1, -2, 0, 2, 0, 0, -2, 0, 0, 1, 0, -1, 0, -1, 0, 1, 1, -2, 0, 0, 0, -1, 4, -1, 0, 0, 1, 1, 0, 0, -1, 0, 1, 0, -1, -1, 2, -1, 0, 0, 2, 0, 1, -2, -1, 4, 1, -1, 0, 0, 2, 0, 0, -2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 4, -1, 1, 0, 0, 0, 1, -2, 0, 2, 1, 0, -1, 0, 1, 0, -2, 0, 0, 2, 0, -1, -1, 4, -1, 0, -2, 1, -1, 0, -1, -1, 0, -1, 0, 1, 1, -1, 1, 0, 1, 0, 1, 0, 1, -1, 4, 0, 1, -1, 0, -1, 2, 1, -1, 1, 1, -1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 4, -1, -1, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, 2, 0, 0, -2, 0, 2, 0, -2, 1, -1, 4, -1, 0, -1, 1, 1, 0, 1, -1, 0, 1, 1, -1, 0, -2, 0, 0, 0, 0, 1, -1, -1, -1, 4, 0, 0, -2, 0, 0, 0, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 4, 0, 0, 0, 3, 1, -2, 0, -1, 0, -1, 0, 0, 1, 0, -2, -2, 0, -1, 0, -1, 0, 0, 4, 0, -2, 0, 0, 0, -1, 0, -1, 1, 0, 2, 0, 1, 0, 0, -1, 2, 1, 1, -2, 0, 0, 4, 0, -1, 0, 2, 0, 1, 0, 1, 0, 0, -1, 0, 2, 2, -1, 1, 0, 1, 0, 0, -2, 0, 4, 1, 0, 2, 0, -1, 2, 1, 0, 1, 0, -1, 1, 1, 0, -1, 1, 0, 0, 3, 0, -1, 1, 6, 0, 1, 1, 0, 1, 2, 1, 0, -1, -1, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 0, 0, 1, 2, 1, -2, 1, 2, -1, 1, 0, -2, -1, 1, -2, -2, 2, 1, 2, -1, 4, -1, 1, 1, -1, 1, -1, 0, 1, 0, -1, -2, 1, 2, 1, -2, 0, 0, 0, 1, 0, 0, -1, 4, -2, -2, 0, -1, -1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, -2, 1, 0, 1, -2, 4, 0, -1, 2, 0, 0, 0, 0, 1, -2, 1, 0, -1, -1, 0, -1, 0, 2, 0, 0, 1, -2, 0, 4, -1, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, 1, -1, 0, -1, -1, 4, 0, 2, -1, 1, 1, 0, 1, -2, 0, -1, 1, 0, 0, 0, -1, 0, 2, 1, -1, 2, 1, 0, 6, -1, -2, 1, 0, -1, 1, 0, 0, -2, -1, 0, -1, 0, 0, 1, 1, -1, -1, 0, 0, 2, -1, 4, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, -1, -2, 0, 4, -1, -2, 1, 0, 0, 1, 1, 0, 1, 1, -1, 1, -2, 1, 1, -1, 0, 0, 1, 1, 0, -1, 4, 0, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, -2, 0, 4, -1, 0, 1, -2, 0, 0, -2, -2, 2, 0, 2, -1, -1, 0, 1, 0, 0, -1, 1, 1, -2, -1, 4, -1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 1, -2, 1, -2, 1, 1, 1, 0, 0, 0, 0, -1, 6, -1, -1, -1, 2, -1, -1, 0, -1, 0, 0, 1, 0, 1, 1, -2, 0, 0, 0, -1, 1, 1, -1, 4, -1, 1, -1, -1, -1, 1, 1, 1, -2, 2, 0, 0, 0, 0, 0, -1, 1, 1, -2, 0, -1, -1, 4, 0, -1, 1, 2, -1, -1, -1, -1, 1, 1, -1, -1, -1, -2, -1, 1, 0, 0, 0, -1, 1, 0, 4, 0, 0, 0, 0, 0, 1, 1, -2, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 2, -1, -1, 0, 4, -1, -1, 1, 1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 1, 0, -2, 0, -1, -1, 1, 0, -1, 4, 2, -2, -1, -1, -2, 0, 0, -1, 0, 0, -1, 0, 1, 0, -2, 1, -1, -1, 2, 0, -1, 2, 4, -2, -2, -1, 2, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 1, -1, 0, 1, -2, -2, 4, 2, 1, 1, 1, -2, 2, 1, -1, 0, 0, 1, 0, 0, 0, -1, 1, -1, 0, 1, -1, -2, 2, 6, -1, 2, 0, 1, 0, -1, 0, 1, 0, -2, 1, 2, -1, 0, 1, -1, 1, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, 1, 2, 1, -1, -1, 1, 0, -1, 0, 0, -1, 1, -1, -1, 1, 1, 0, 1, 4, 2, 1, 2, 2, 1, 0, -1, -2, 0, -1, -2, 0, 0, -1, -1, -2, -2, 0, -1, 0, 2, 2, 4, -1, 1, 2, 1, 1, 0, -1, 1, -1, -1, 1, 0, -1, 1, -2, -1, 1, 0, 1, -2, 1, -1, 4, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, 1, -2, 0, -1, 0, -1, -1, 1, 2, 1, 1, 4, 1, 2, 0, -2, -2, -1, -2, -1, -1, 1, 1, 0, -1, -1, -1, -1, -1, 1, 2, 2, 0, 1, 4, 2, 0, -1, -2, 0, 0, -2, 1, 0, 0, 0, -2, 0, 0, 0, -1, 2, 1, 1, 0, 2, 2, 4, 0, -2, -1, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, -2, 1, 0, 1, 0, 0, 0, 0, 4, -1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, -1, -1, 0, 0, -2, -1, -2, -1, 6, -1, 2, 1, 1, 0, 1, 1, -2, 1, 0, 2, 2, 1, -1, -2, -1, -1, -2, -2, -1, 1, -1, 6, -1, 0, 2, 1, -1, -1, 2, 2, 2, -1, 0, 1, 1, 0, 1, 0, -1, 0, 0, 1, 2, -1, 4, 0, 0, -1, 1, 0, -1, 0, -1, 2, 1, 1, 0, -1, -1, -1, -2, 0, 0, 0, 1, 0, 0, 4, 1, 0, -1, -1, 0, 1, 1, 0, 0, -1, -1, -2, -1, -1, -1, -2, -1, 0, 1, 2, 0, 1, 4, -1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, -1, -1, 1, -1, 1, 0, 1, -1, 0, -1, 4, -1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 1, -1, 1, -1, 4, 1, -1, 0, 1, 1, 0, 1, -1, -1, -1, 1, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, 4, 0, 1, 0, 0, 1, 0, 1, -1, 1, -2, 0, 0, 0, 1, -2, 2, -1, 0, 1, 1, -1, 0, 4, 0, 1, -1, 0, 1, -1, -2, -2, 0, -1, -2, -1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 4, 1, 0, 1, 0, -1, -2, -1, -1, -1, 0, 0, 0, 0, 2, -1, 1, 2, 0, 1, 0, 1, 1, 4, -1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1, 2, -1, 2, 0, 0, 0, 1, 0, -1, 0, -1, 4, 2, 1, 1, -1, 0, -1, -1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 4, 0, 0, 0, 1, -1, -1, -1, -2, 1, 1, 1, 1, -1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 1, -1, -1, 1, 2, 1, 0, -1, 2, -1, 0, -1, -1, 1, 1, 2, 1, -1, 0, 2, 4, -1, 0, 0, 0, 0, 0, 2, 1, -1, 1, -1, -1, 1, -2, 1, 2, 2, 2, -1, 0, -1, -1, 4, -1, 0, -1, 0, 0, -1, 1, -1, 0, -1, 1, 0, 2, -1, -2, -2, 1, 0, 1, 1, 0, -1, 4, 1, 0, -1, 1, 1, -2, 0, 1, 0, 1, -2, 0, 1, 0, 2, 0, 1, 1, -1, 0, 0, 1, 4, -1, -2, -1, -1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 2, -1, -1, 0, -1, 0, -1, 4, 0, 0, 2, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 1, 1, 0, 0, -1, -2, 0, 4, 2, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 1, -1, 0, 2, 4, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 1, 2, -1, 1, -1, 2, 0, 0, 4, 0, -1, 0, -1, -1, 0, -1, 0, 1, 2, 1, 0, 1, 0, 1, 1, -2, -1, 0, 0, 0, 0, 4, -1, 1, 0, -2, 2, -1, -1, 1, 0, 0, -1, -1, -1, -1, -1, 0, 1, -1, 0, 0, -1, -1, 4, -1, 1, 0, -1, 0, -1, -1, -2, -1, 1, -1, 2, 1, 0, 1, 0, -1, -1, 1, 0, 1, -1, 4, -1, -1, 0, -1, 1, 0, 2, 1, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 1, -1, 4, -1, 0, 1, -1, 0, -1, -1, 0, 0, 0, -1, 1, 1, 1, -1, 0, 0, -1, -2, 0, -1, -1, 4, -2, 1, 1, -1, 0, 0, 0, 1, -1, 1, 0, -2, 0, 1, -1, -2, 0, 2, -1, 0, 0, -2, 4, -1, 0, 1, 0, 0, 0, -1, -1, -2, 2, 0, -1, 0, 0, 0, -1, -1, 0, -1, 1, 1, -1, 4, -1, -2, -2, 0, 0, 2, 1, 1, -1, 1, 1, 0, 0, 0, 0, -1, -1, 1, -1, 1, 0, -1, 4, 0, 2, 1, -1, 1, 1, 2, -2, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, -1, 1, -2, 0, 4, 2, 0, 0, -1, 2, 2, -2, 2, -1, 1, 0, 0, 2, 0, -2, 2, -1, 0, 0, -2, 2, 2, 6, 0, -1, 1, 1, 2, 1, 0, 0, -1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 1, 0, 0, 4, 0, 1, -1, -1, 0, 1, 2, 0, -2, -1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 4, -1, 0, 0, 1, 1, -1, 1, 0, 0, 1, -1, -1, 0, 0, 1, -1, 2, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 2, 1, -2, 1, -2, 0, 0, 2, -1, 1, 2, -1, -1, 1, -1, 0, -2, -1, -1, -2, 4, 2, -1, -1, 2, -1, 2, 0, 0, -1, 1, 1, -1, 1, 2, -1, 1, 0, 2, 1, 1, -1, 2, 6, 2, -2, 1, -2, 2, 2, 2, 0, 2, 2, -1, -1, 2, 0, 0, -1, 0, -2, -1, 2, -1, 2, 6, -2, -1, -1, 0, 1, 2, 2, -1, 1, -1, -1, 0, -1, -2, -1, 0, -3, 0, 1, -1, -2, -2, 4, -1, 2, -1, -1, 0, -1, -1, -1, 2, -1, -1, 0, 0, 1, -2, 0, -1, -2, 2, 1, -1, -1, 4, -2, 2, -1, -1, -1, 2, 0, -2, 2, 2, 0, 0, 1, 2, 2, 0, 1, -1, -2, -1, 2, -2, 4, -1, -1, -1, -1, -1, 0, 1, -1, -1, 0, 0, 1, -1, -1, 0, -2, 2, 2, 0, -1, 2, -1, 4, -1, 0, -1, 1, 1, -2, 0, 1, -1, 0, 0, 1, 0, 1, 0, 0, 2, 1, -1, -1, -1, -1, 4, 2, 1, 1, 1, 0, 0, 1, 1, 1, -2, 0, 0, -1, 0, 0, 2, 2, 0, -1, -1, 0, 2, 4, 0, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, 0, 2, -1, 0, 2, -1, -1, -1, -1, 1, 0, 4, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 2, -1, -1, 2, -1, 1, 1, 0, -1, 4, 1, -1, 1, 2, 2, 0, 0, 1, 1, -1, 1, 1, 2, 1, -1, 0, 0, 1, 1, 0, 0, 1, 4, 0, 0, 1, 1, 0, -1, 0, -1, 0, 2, -1, -1, -1, 2, -2, 1, -2, 0, 0, 0, -1, 0, 4, -1, -1, 1, 0, 0, -3, 0, -1, -1, 1, -1, -1, -1, 2, -1, 0, 0, -1, -1, 1, 0, -1, 4, 1, 1, 1, 0, 1, 2, 1, -1, 2, 2, 0, -1, 2, -1, 1, 1, 0, 0, 2, 1, -1, 1, 4, 0, 1, 1, 2, 1, -1, 1, -1, 0, -1, 0, 0, 0, -1, 1, -1, 0, 2, 1, 1, 1, 0, 4, 0, 0, -1, 1, -1, -1, 1, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 4, -1, 0, 2, 1, 0, 0, -1, -1, 1, 1, 1, 0, -2, -2, 0, 0, -1, 0, 0, 1, 0, -1, 4, 0, 0, -1, -2, 2, 0, 0, -2, 2, -1, 1, 0, 0, 0, 1, 0, -3, 1, 2, -1, 0, 0, 6, 2, 1, -1, 1, -2, -3, 0, 2, -1, 0, 0, -1, 0, 1, -1, 0, 2, 1, 1, 2, 0, 2, 6, 0, -1, 1, -1, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0, -1, 1, -1, -1, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 1, 2, 2, 2, 0, 0, -2, -1, 1, -2, 1, 0, -1, -1, -2, -1, 2, -1, -2, 2, 4, 0, 1, 0, 1, 1, 1, -1, -1, -1, -1, -1, 2, -1, 0, 0, 0, -1, 0, 0, -2, 1, 0, 4, 2, 2, 0, 1, -2, 0, 0, 0, -1, -2, -1, 1, 0, -2, -1, 1, 1, -1, 1, 1, 1, 2, 4, 1, 1, 2, 0, -1, 0, -1, -2, -2, 1, 0, 1, 0, -1, 1, 1, 0, -1, 2, 0, 2, 1, 4, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 0, -2, -1, 1, 1, 0, -1, 2, 1, 0, 1, 0, 4, 2, 0, 1, -2, -2, 1, 0, 1, 0, -1, 1, -2, -2, 2, 0, -2, 2, 1, 1, 2, 1, 2, 4, -1, -1, -1, -1, -1, -2, 0, -1, 0, 0, -2, 0, 2, -1, -2, 0, 1, -2, 0, -1, 0, -1, 4, -1, -1, -1, 0, 1, 2, -1, 1, 2, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, 1, -1, -1, 4, -1, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 1, 1, -2, -1, 0, 0, 0, -2, -1, -1, -1, 4, 2, 0, 1, -1, 0, 1, -1, 2, 1, -2, 0, 1, -1, -1, 0, -1, 0, -2, -1, -1, 0, 2, 4, 0, -1, -1, 1, 0, -1, 1, 1, -1, -1, 2, 1, -1, -1, -2, 0, 1, -1, 0, 1, 0, 0, 6, 1, -1, 1, 0, 0, -1, -2, 1, 0, -1, -2, -1, -2, -2, -1, 0, -2, 1, 0, 1, -1, 1, 6, -1, 0, 1, 0, 1, -1, -1, 2, 0, 1, 2, -1, 1, 0, 1, 0, 2, 0, -1, -1, -1, -1, 4, -1, -1, 1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, -1, -1, 2, 0, 1, 1, 0, -1, 4, 0, -1, -1, 0, 0, 1, 1, -1, 0, 0, 1, 0, -1, 0, 1, -2, 1, 0, 0, 1, -1, 0, 4, 1, 0, 0, 0, 1, 0, -1, 0, -2, 0, -2, 1, 0, 2, 0, -1, -1, 0, 0, 1, -1, 1, 4, 0, -1, 0, 1, 0, -2, 0, -1, -1, -1, -2, -2, 0, 0, 2, 1, -1, 1, 0, -1, 0, 0, 4, 1, -2, 1, 1, -1, -1, 1, 1, 1, -2, 0, -1, 0, 1, 1, -2, -1, 0, 0, 0, -1, 1, 4, -1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, -2, -1, 1, -1, 0, 0, 0, 0, -2, -1, 4, 0, -1, -1, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 4, -1, -2, -2, 1, -1, -1, -2, -2, 0, 1, 1, 2, -1, 0, -1, 1, 0, 0, 1, 1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 2, -1, 0, -2, 1, -1, -1, 0, -1, 1, -1, 1, 1, -1, 0, 0, 1, 4, 0, -1, 2, 1, 2, -2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 4, -1, 0, 0, -1, -1, -1, 0, 1, 1, -1, 1, 1, -2, 1, -1, 0, 1, -1, -1, 1, -1, -1, 4, -1, 1, 0, 0, -1, -1, 0, -1, 0, 1, -1, 0, -1, 1, -1, -1, -1, 2, 1, 2, 0, -1, 4, 2, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, -1, 2, 1, 0, 1, 2, 4, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, -2, 0, 0, 0, 0, 1, 2, 2, -1, 0, 0, 0, 4, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -2, -1, 0, 0, 0, -2, 4, -1, 1, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, -1, 4, 1, 0, -1, 2, 0, -1, 0, -1, 1, -1, -1, 1, 0, -2, 1, 0, -1, 0, 0, 0, 1, 1, 6, -2, 1, 2, 1, -1, 1, 1, -2, -1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 4, -1, 0, 0, 0, -1, 0, 2, 1, -2, -1, -1, -1, 0, 1, -1, 1, -1, 0, 0, -1, 1, -1, 4, -1, -1, 1, 0, 1, -2, -1, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0, 0, 2, 2, 0, -1, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, -1, 1, 0, -1, 0, 1, 0, -1, 0, 4, -2, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, -1, 1, -1, 0, 0, -1, -1, 0, 1, 0, -2, 4, -2, 0, -1, 1, 1, -2, -1, 1, 0, -2, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, -2, 4, 1, 0, 0, 0, 2, 1, -1, 0, 1, -1, -1, -2, 0, -1, -1, 1, 0, 1, 0, 0, 0, 1, 4, -1, 1, 1, 1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, -2, 2, -2, 0, 0, -1, 0, -1, 4, 0, -2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, -1, 0, -1, 1, 0, 1, 0, 4, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, -1, 2, -2, 1, 0, 0, 1, 0, 1, -2, 0, 4, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 1, 2, -1, 0, 1, 1, -2, 2, 1, 0, 0, 1, 4, 0, 0, -1, -1, 2, -1, 1, -1, 0, 0, 0, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, 0, 1, 0, 0, 1, -1, 2, -1, 1, 0, 1, 0, 0, -1, 1, 1, 1, 1, 0, 4, -2, 0, 2, 2, 0, 0, -1, 1, 1, -1, -2, 0, -1, -1, -1, 0, -1, 0, 1, -1, -1, -2, 6, 2, -3, -1, 0, -2, -1, 0, -1, 0, 3, 2, -2, 1, 1, 0, 0, 0, -2, -1, 0, 0, 2, 4, -1, -1, 0, -2, -1, 0, 0, -1, 2, 1, -2, -1, -1, 1, -1, -1, 1, 1, 0, 2, -3, -1, 6, -1, 2, 1, -2, 2, 2, -2, -3, -2, 2, -2, -2, 1, -2, -1, 3, 1, 1, 2, -1, -1, -1, 6, 0, -1, 0, -2, 1, 1, 1, -1, 1, 2, -1, -2, 0, 2, -1, -2, 0, 0, 0, 0, 2, 0, 4, -1, -2, -1, 0, -1, 1, -2, 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, -2, -2, 1, -1, -1, 4, 2, 1, 0, 1, -2, 0, 2, 0, 0, -1, 0, 1, -1, 0, 1, -1, -1, -1, -2, 0, -2, 2, 4, -1, -1, 1, 0, 1, 1, 1, 1, -1, 1, 1, -2, 0, -1, 1, 0, 0, 2, -2, -1, 1, -1, 4, 1, -1, -2, 1, 0, -1, -1, 1, -1, -1, 1, 0, 2, 1, -1, 0, 2, 1, 0, 0, -1, 1, 4, -1, 0, -1, 1, 0, -2, -1, -1, 1, 2, 0, -1, -1, 0, -1, -2, 1, -1, 1, 1, -1, -1, 4, 0, 0, 0, 1, 1, -2, 1, 2, -2, -1, 1, -2, 3, 2, -3, 1, 1, -2, 0, -2, 0, 0, 6, 0, -1, 2, 0, -1, 0, 0, 0, 0, 0, 0, 2, 1, -2, -1, -2, 0, 1, 1, -1, 0, 0, 4, -2, 0, 1, 0, 0, 0, -1, 0, 1, -1, -2, -2, 2, 1, 0, 2, 1, 0, 1, 0, -1, -2, 6, 0, -2, -1, 0, 1, -1, 1, 0, -1, 1, -1, -2, 2, 0, 0, 1, -1, 0, 1, 2, 0, 0, 4, 1, -1, 0, 1, -1, -1, 0, -1, 1, -1, -2, -1, 0, 0, 1, -1, -2, 1, 0, 1, -2, 1, 4, 0, 2, 0, -1, 0, -1, 0, 0, 1, 1, -2, 1, -1, -1, 1, -1, -2, -1, 0, -1, -1, 0, 4, 0, -2, 2, 1, 1, -1, 0, -1, -2, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 2, 0, 4, 0, -1, 0, 1, 0, 0, -1, -1, 2, -1, 1, 1, -1, 1, 2, 0, 0, 1, 1, 0, -2, 0, 4, -1, -1, 1, 1, -2, 1, 3, -1, 2, -1, -2, 1, 2, -2, 0, -1, -1, -1, -1, 2, -1, -1, 6, 1, 1, -1, -1, 1, 1, -2, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, -2, 0, 0, 0, 1, 1, 0, 2, -2, -1, 0, 1, -2, 1, 2, -1, 0, -2, 6, 2, -2, -1, 1, -1, -2, 0, -1, -2, 2, -1, 0, 2, 2, 1, 0, 1, 0, 2, -2, 0, 2, 4, -2, 0, 1, -2, -2, -1, 1, 0, 2, -1, 1, 0, 1, 1, -1, 1, 1, 0, -2, 0, -2, -2, 4, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, -2, -1, 0, -2, 0, 0, 2, -1, -1, 0, 1, 4, 0, -1, 0, -1, 1, -1, 0, -1, 1, 0, -1, -2, 1, -2, -1, -1, 1, -2, 1, 1, 0, 0, 4, -1, -1, 1, -1, 0, 1, -2, 2, 1, -1, -1, 1, -1, -1, 0, -1, 0, -1, -2, 0, -1, -1, 4, 2, 0, -2, 1, -2, 0, -1, -1, 1, 0, 0, 0, 0, 1, 1, 0, -2, -2, 2, 0, -1, 2, 4, 0, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, -1, 1, -1, 1, 0, 0, 4, 1, 0, 1, 1, 0, 0, -1, -1, 1, 0, -1, 0, 0, 1, -1, 1, 1, 1, -1, -2, -1, 1, 6, 1, 2, 2, -1, -2, 0, 1, -1, -1, 1, 0, 0, 1, -2, 0, 0, -1, 0, 1, 1, 0, 1, 4, -1, 1, -1, -1, 1, 1, -1, 0, 1, -1, 1, 0, 2, 2, 0, 0, 1, -2, -2, 1, 2, -1, 4, 0, 0, 0, 0, 1, -1, 0, 1, 1, -1, 2, -1, -1, 1, -1, -2, 0, 0, 1, 2, 1, 0, 4, -2, -1, 0, 1, -1, 0, 1, 0, 1, -2, 0, 1, 0, 1, 2, -1, 0, 0, -1, -1, 0, -2, 4, 1, -1, -2, 2, 0, -2, 0, -1, -1, 2, 0, 0, 0, 1, -1, 0, 0, -2, -1, 0, -1, 1, 4, 0, -1, 0, 0, -1, 0, 0, 0, 2, 1, -2, -1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 0, 4, 2, -1, 1, 1, 1, 0, 1, 1, 1, -1, -2, -1, 0, -1, -1, 1, 1, 1, 1, -2, -1, 2, 4, -2, 1, 2, 1, 0, -2, 0, -1, 0, 1, 1, 0, 0, 1, -1, -1, -1, -1, 2, 0, -1, -2, 4, 0, -2, 0, 0, 1, 1, 1, -2, -2, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 4, 0, 0, -1, 2, 0, 1, 0, -1, -1, 0, 0, -1, 1, 1, 1, 1, -2, -1, 1, 2, -2, 0, 4, 1, 0, -1, 2, 0, 0, -1, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 4, -1, 0, -2, -2, 2, 1, -1, 1, 2, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, -1, 1, -2, 1, 2, -1, -1, 1, -2, -2, 0, -1, -1, 1, 1, 0, 1, -1, 4, 0, 0, -2, 2, 0, 1, -2, 0, -1, -1, -2, 2, 1, -1, -1, 2, -2, -2, 0, 1, -2, 0, 4, -2, -1, -1, -1, 1, -1, -2, 1, 2, 0, 2, 0, -1, 1, -1, 0, 1, 1, 0, 2, 0, -2, 4, 1, -1, 2, -2, 0, 2, -2, -2, -1, -2, 0, 0, -2, -1, -1, 1, 0, 0, 2, -2, -1, 1, 6, -3, 2, -3, 1, 0, -2, -1, -1, -3, -3, -1, 1, 1, -1, -1, -1, 1, -1, 2, -1, -1, -3, 6, -2, 3, -1, -1, 1, 0, 0, 3, 3, 2, 1, 1, 1, -1, 1, -1, 1, 0, -1, 2, 2, -2, 4, -1, 0, 1, -1, -1, -2, -1, 0, 0, -1, 1, -2, -1, 0, 0, -2, 1, 1, -2, -3, 3, -1, 6, -2, -2, 2, 0, 0, 3, 3, 1, 2, -1, 2, 1, 2, -2, 1, -2, -1, 0, 1, -1, 0, -2, 4, 1, 0, 0, 2, -1, -2, 1, 0, 0, 1, 0, 0, 1, 2, 0, -2, 2, 0, -1, 1, -2, 1, 4, 0, -1, 0, -2, -1, 0, -2, 0, -1, 0, -1, 1, -1, -1, 1, -2, -2, 1, -1, 2, 0, 0, 4, 2, 1, 1, 1, 1, 1, -1, 1, 1, 0, -1, -1, -1, 2, -2, -1, 0, -1, 0, 0, -1, 2, 4, 1, 1, 0, 1, 0, 0, 1, 0, 0, -1, 1, -2, 0, -1, -1, 0, -2, 0, 2, 0, 1, 1, 6, 1, -2, 1, 0, -3, 2, 2, 1, 0, -2, 2, 2, -2, -3, 3, -1, 3, -1, -2, 1, 1, 1, 6, 2, 1, 1, 0, 0, -1, 2, 0, -2, 1, 0, 0, -3, 3, 0, 3, -2, -1, 1, 0, -2, 2, 6, 1, 0, 0, 1, 0, 0, -2, 0, -1, -1, 0, -1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 4, 1, 0, 1, 0, 1, -1, -1, -1, 1, -2, 1, 1, -1, 2, 0, -2, 1, 0, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, -1, 2, -1, -1, 1, 1, 1, -1, 0, 0, -1, 0, -3, 0, 0, 0, 0, 6, -2, -4, -1, 1, 1, -2, 0, -1, -1, 1, -2, 2, 1, -1, 1, 1, 2, 0, 1, 1, 1, -2, 6, 2, 1, -1, 1, -2, 1, 1, -1, -1, -1, 1, 0, 0, 1, 0, 2, -1, 0, 0, 0, -4, 2, 6, 2, -1, 0, 0, 1, 0, -1, 1, 0, 2, 0, -1, 0, 0, 1, 2, 0, 1, 1, -1, 1, 2, 4, -1, 1, 1, 0, 0, 1, -1, 0, -2, 1, 1, -1, -1, 0, 0, -2, -1, 0, 1, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, 0, -2, 1, 1, 0, 1, 1, -2, 1, -2, -1, -1, -1, -2, 0, -1, 1, 4, -2, 2, 1, -1, 0, 0, 1, 1, -1, 2, 0, -2, 0, -2, 0, -1, -1, 1, 0, -2, -1, -2, 4, -2, -1, 1, 1, 0, -1, 0, 1, -2, 0, 0, 1, 0, 0, 0, 0, -1, -1, 1, 1, 2, -2, 4, 2, 0, 0, 0, 2, 1, 0, 2, -1, -1, 1, -2, -1, 0, -1, 0, 0, -2, 2, 1, -1, 2, 4, 0, 0, 0, 1, 2, 0, 1, 1, -2, 2, -1, -2, 0, -2, 0, 0, -1, -2, -1, 1, 0, 0, 4, -1, 1, -1, 1, 0, -1, -1, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, -1, 0, 1, 1, -2, 0, 0, 0, 0, 1, 1, 4, -1, 0, 0, 0, 0, 2, 0, 1, 0, 2, -1, 1, 1, 1, 1, 1, -1, 2, 1, -1, 1, -1, 4, 1, 1, 2, -1, 0, 1, 0, -1, 0, 0, 1, 0, -1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 4, -1, 1, 0, 0, 2, 0, -2, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 4, 0, -1, -1, 1, 0, -1, 1, -1, 0, -1, -1, 1, 2, -2, 2, 1, -1, 1, 0, 2, 1, 0, 4, -1, -1, 1, 0, -1, 0, -1, 0, 1, -1, 1, 0, 0, -1, 1, -1, 1, 0, -1, 0, -1, -1, 4, 0, -1, 0, 1, 0, -1, 0, 0, 1, -2, -2, 0, -1, -2, 1, 1, 2, 0, 0, -1, -1, 0, 6, -1, 3, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, -1, -1, 4, 0, -2, 1, -1, -1, 0, -1, -2, -2, 0, -2, -1, 0, 1, 1, 0, 0, 0, 0, 0, 3, 0, 6, 1, 1, 1, 1, 0, 2, -1, 0, 0, -1, -2, -1, 0, 0, -1, -2, -1, -1, 1, 1, -2, 1, 4, 0, 1, -1, -1, 1, -1, -1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 4, 0, 1, 1, 1, -1, -1, 0, -1, -2, 1, -1, -1, 0, 0, -1, -1, -1, 2, -1, 1, 1, 0, 4, 0, 0, 1, -2, 1, -1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, -1, 1, -1, 1, 0, 6, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 1, 0, 1, 4, 0, -1, -2, 1, -2, -1, 0, 1, 1, -1, 0, -1, -1, 1, 2, -1, 2, 1, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, -2, -1, -1, 1, 1, -1, -1, 2, -2, -1, 1, -1, 0, 1, 0, 0, 1, 4, 0, 0, 2, -1, 0, 1, -1, 2, 0, 1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, 4, -2, 1, 0, 0, 1, 0, 1, 1, -1, -1, 0, 1, 1, -1, 1, 0, -1, -1, 0, 1, 0, -2, 4, 1, -1, 1, -1, 1, 1, 1, 0, 1, 0, -2, -1, 2, -2, 1, 2, 0, 0, 1, 2, 1, 1, 4, 0, 1, 0, -1, 3, 2, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, 0, 1, -1, 0, -1, 0, 4, -2, -1, -1, 0, 0, -1, -1, 1, 0, -1, -1, 1, -1, -1, 0, -1, -2, 0, 0, 1, 1, -2, 6, 2, 2, 0, 0, 2, 1, -2, 1, 2, -1, -1, -1, 1, 1, 2, -1, 1, 1, -1, 0, -1, 2, 4, 1, -1, -1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 0, 1, -1, -1, 0, 1, -1, -1, 2, 1, 4, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1, 1, 0, 0, 1, 2, 1, 1, 3, 0, 0, -1, 0, 6, 3, 1, 1, 1, 0, -1, 0, 0, 1, 0, 1, -2, 1, 0, 1, 1, 2, 0, 0, -1, 0, 3, 4, -1, 1, 1, -1, 0, 0, -1, 0, 1, -1, 0, -1, 1, -1, 0, 0, -1, 2, 1, 1, 1, -1, 4, 0, 0, 1, 1, -1, 0, 1, 0, 1, 0, -1, 0, -1, 1, 0, -1, 1, -1, 0, 1, 1, 0, 4, -1, 0, 0, 0, -1, -1, 0, 1, 0, 2, 1, 0, 0, 0, 1, -2, 0, 0, 1, 1, 0, -1, 4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, -2, 0, 0, 1, 0, -1, 0, -1, 1, 0, -2, 4, 0, -2, 1, 0, -1, 0, 0, -1, -1, 1, -1, -1, -1, 2, 1, 1, -1, 0, 1, 0, 0, 0, 4, -1, 0, -1, 0, 0, 2, 1, 1, -1, 2, 1, -1, -1, 0, 0, 0, 0, -1, 0, 0, -2, -1, 4, -1, 1, 1, 0, 0, -1, 0, 1, -2, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 1, 0, -1, 4, 0, -2, 1, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 1, 0, 1, -1, 0, 0, -1, 1, 0, 4, 0, -1, -1, 1, 0, -1, 2, 1, -1, 1, -1, 1, 0, 1, 0, 0, 0, -1, 0, 1, -2, 0, 4, 0, 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 1, 0, 0, 0, 0, 1, -1, 0, 4, -1, 0, 0, 0, 0, 0, -1, 2, 1, 0, -2, 0, 0, 0, 0, 0, 2, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, -1, -2, -2, 0, -1, 2, 1, 0, 1, 2, 1, 2, -2, 0, -1, 1, 0, -2, 4, 2, -1, 1, 0, 2, 1, 0, 0, 0, -2, -1, 0, -2, -1, -1, 0, 0, 1, -2, 1, -2, 2, 4, -1, 2, -1, 2, 2, -1, -1, 0, -1, 0, -1, -2, 0, -2, 0, 1, 1, 0, 1, 1, -1, -1, 4, 1, -1, -1, 0, -1, -1, 1, 2, -1, 1, 1, 2, 2, 0, 1, -2, -1, 1, -1, 1, 2, 1, 4, -2, 1, 1, -2, -2, 0, 1, 0, 1, -1, 0, -1, 0, 2, -1, 0, 2, -1, 0, -1, -1, -2, 4, 1, 1, 2, 1, -2, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, -1, -2, 2, 2, -1, 1, 1, 4, 1, 1, 0, -2, 0, 0, 0, -2, 0, -2, 0, 0, 1, 0, 1, -2, 1, 2, 0, 1, 1, 1, 4, -1, 0, -1, -1, 0, -1, -1, -1, -2, 0, 0, -1, -1, 1, 0, 0, -1, -1, -2, 2, 1, -1, 4, 2, -2, 0, -1, 1, 0, 0, 0, 0, 0, 2, 1, -1, -1, 0, -1, -1, -2, 1, 0, 0, 2, 6, -3, -2, -1, -1, 1, 0, 0, 1, -2, 0, 2, 0, 2, 0, 0, 1, 0, -2, -2, -1, -2, -3, 6, 1, 1, 0, 1, 0, 2, -1, 0, -1, -2, -1, 1, -2, -1, 2, 1, 0, 0, -1, 0, -2, 1, 6, 0, 1, 0, 1, 1, -1, 1, -2, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, 1, 0, 4, 0, 0, -1, 0, 1, 0, -1, 0, -1, 1, 0, -1, 1, 1, 0, 0, -1, 1, -1, 0, 1, 0, 4, 1, 0, 1, -1, 2, 0, 0, 1, 2, -2, -2, 1, -1, 0, -2, -1, 0, 1, 1, 0, 0, 1, 4, 0, 1, -1, 0, -1, 0, 0, 1, -1, 0, 2, 0, -1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 4, 2, 0, 0, 0, 1, 1, 2, -1, -2, 2, -1, -1, -2, -2, 0, 0, 2, 1, 0, 1, 1, 2, 4, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 4, 0, 1, 0, -1, 0, 0, 1, 1, 2, -1, 0, 0, 0, -2, 0, 1, 0, 2, 0, 0, 0, 0, 4, 0, 0, 1, -1, 1, 1, -2, -1, 0, 1, -1, 2, 0, -1, -2, -1, 0, -1, 0, -1, 1, 0, 6, 1, -1, 1, -2, 0, -1, 0, -1, 0, -1, 1, 2, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 6, 0, 0, 1, 1, 1, 2, -1, 1, 1, -1, 0, -1, 0, -1, 1, 0, 1, 0, -1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, -2, 2, -1, 1, -2, -1, 1, -1, -2, 0, 1, 1, 1, 0, 0, -2, -1, -1, -2, 4, 0, 1, 2, -2, 1, -1, 2, 1, -1, 1, 2, 1, 1, 0, 0, 1, -1, 0, 1, 0, -2, 0, 4, 2, 1, -1, -1, 1, 1, 1, 0, -1, 1, 0, -1, 0, 0, 0, 1, 2, 1, 2, -2, 1, 2, 4, 2, -2, 1, 0, 2, 2, -1, 1, 0, -1, -1, 1, -1, -1, -1, 0, 0, 0, -2, 2, 1, 2, 4, -2, 2, 0, 2, 0, -2, 1, 2, 0, 0, 0, -1, 0, 0, 1, 1, 1, 2, -2, -1, -2, -2, 4, -1, 0, -2, 0, 1, -1, -1, 1, 0, -1, 1, -1, 0, -1, -1, 0, -1, 1, -1, 1, 2, -1, 4, 0, 1, 0, -1, 2, 1, 0, 0, 0, -2, 0, 0, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 4, 0, -1, 1, 0, 1, 0, 1, 1, -1, 0, 0, 1, 0, 1, -2, 2, 1, 2, 2, -2, 1, 0, 4, 0, 0, 2, 2, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, 1, 2, 0, 0, 0, -1, 0, 4, 0, 0, -1, 0, 0, 1, 0, -1, -1, -1, 0, -1, 1, -1, 0, -1, -2, 1, -1, 1, 0, 0, 4, 0, -1, 1, 1, 0, 1, 1, 1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 2, 0, 2, 0, 0, 4, 1, 0, 0, 0, -2, 0, 0, 0, -1, -1, -2, 2, 1, 0, 2, -1, 1, 1, 2, -1, -1, 1, 6, 2, 1, 0, 0, 1, 0, 3, 2, 2, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 4, 1, -1, 1, 2, 0, 0, 1, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 4, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 4, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, 1, -2, -1, -1, 0, 1, -2, 0, 1, 0, 1, 4, 1, 0, 0, 1, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, -1, 1, 0, 1, 2, 0, 0, 1, 4, 1, 1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, 4, 0, 0, 1, -2, 0, 2, 0, 1, -1, -1, 1, 0, -1, -1, 0, 3, 0, -1, 0, 0, 1, 0, 6, 2, 2, -1, 1, 1, 0, 1, -1, -1, 0, 1, 0, 0, -1, 2, 1, 1, 0, 1, 1, 0, 2, 4, 1, -1, 0, 2, 0, 1, 0, -1, 1, 1, -1, 0, -1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 0, -1, 0, 1, 2, 1, -1, -1, 1, 0, 1, 0, -1, 0, 1, 2, 0, 1, -1, 4, 0, -1, 0, 0, 0, 1, 0, -1, 1, -1, -1, 1, -2, 0, -1, 0, -1, 0, -1, 0, -2, 0, 4, 0, 1, 0, 1, -1, -2, 1, 0, 0, 1, 0, 1, -1, 0, 1, 1, -2, 0, 0, -1, -1, 0, 4, 1, 2, -1, 0, 0, 0, -1, 0, 0, 1, 1, -1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, 4, 1, -1, 1, -1, 2, 0, 0, 2, 1, 2, -1, -2, -1, 0, -1, -1, 0, -1, 0, 0, 2, 1, 4, -2, -1, -1, 1, 0, -1, 1, 1, 1, -1, 1, -2, -1, -1, -1, 1, 0, 0, 1, -1, -1, -2, 4, 1, 0, -1, 1, 1, 0, -1, -1, -1, 0, 2, 2, 0, 1, 0, 1, 1, -1, 0, 1, -1, 1, 4, 0, 0, 1, 0, 0, 1, 0, -1, -1, 1, 1, 0, -1, 0, 2, 0, -2, 0, -1, -1, 0, 0, 4, -1, -1, 0, -1, -1, -1, 1, -1, 0, -1, 2, 0, 1, 1, -1, 1, 0, 2, 1, -1, 0, -1, 4, 0, 0, 2, 1, 3, -1, 0, 0, 1, -1, -1, 0, -1, 1, 0, -1, 0, 0, 1, 1, -1, 0, 4, 0, 0, 1, 0, 0, 1, 1, 0, -1, -1, 0, -1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 4, -1, -1, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 1, 0, 2, 1, 0, 0, -1, 2, 0, -1, 4, 1, 3, -1, 0, -1, 1, -1, -1, 0, 0, 1, 0, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 4, 2, 0, 0, -1, -1, 0, -2, 1, 1, -2, 1, 1, 2, 1, -1, 0, -1, 3, 0, -1, 3, 2, 6, 0, 1, -1, 0, -1, -2, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, -1, 0, 1, -1, 0, 0, 4, 1, -1, -2, 1, 0, 0, -1, -1, 0, 0, -2, 1, 0, -1, -1, 0, 1, 0, 0, 0, 1, 1, 4, 0, 0, -1, 0, 0, 0, 0, 1, -1, -1, -2, 2, 1, 0, 0, 1, 0, -1, -1, -1, -1, 0, 4, 2, 0, 1, 0, 1, -1, 1, -1, 0, -1, 2, 1, -1, 1, 0, 0, 1, -1, 0, -2, 0, 2, 4, -1, 1, 0, 2, 0, -2, 0, -1, -1, 0, 0, 2, -1, -1, 0, -1, 0, -1, 1, -1, 0, -1, 4, 1, 1, 0, -1, 0, -1, -1, -1, 1, -1, 0, -1, -1, 1, -1, -2, -2, 0, 0, 1, 1, 1, 4, -1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 1, -2, 1, -1, 2, 0, 1, 2, 1, 1, 1, -1, -2, -1, -1, 1, 1, -1, 1, 4, 2, -1, 2, 0, -1, -2, 1, 1, 0, 1, 2, 0, 0, 0, 0, -2, 0, 0, 1, 0, 2, 2, 6, 1, 3, -2, 1, -1, 1, 1, 1, 1, 1, 1, 0, -2, -2, 0, -1, 1, 0, 0, -1, -1, 1, 4, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, -1, 1, 0, -1, 1, -1, -1, 1, 2, 3, 0, 4, -1, 0, -1, 1, 0, 0, 1, 1, 1, 0, 0, -1, 0, -1, 0, 1, 1, -2, 0, -2, 1, -1, 4, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 2, -1, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 4, 1, 1, -1, 1, 1, -1, -1, -1, 0, 0, 1, 1, 1, 0, -1, -1, -2, -1, 0, -1, 0, 1, 4, -2, 0, 1, -1, -2, -1, -1, -1, 1, 2, 0, 1, -1, 1, 2, 1, 1, 0, 1, 0, 1, -2, 4, 0, 0, 1, 2, 1, 0, 1, -1, -1, -1, 0, 0, -1, 0, 1, 1, 1, 0, 0, -1, 0, 0, 4, 0, -1, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, 1, 1, 0, 0, 4, 0, 0, -1, 1, -1, 0, 0, -1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, -1, 1, -1, 0, 4, 1, 0, 0, -1, 0, -1, 0, 0, 0, -2, 1, 2, 1, 0, 1, 0, -1, -2, 2, 1, 0, 1, 4, 0, 1, 0, 0, -2, 0, 0, 0, 0, 1, 0, 1, 1, 1, -1, -1, -1, 1, 1, -1, 0, 0, 4, 0, 0, -1, 0, -2, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 0, 1, 0, 4, -1, -1, -2, 0, 1, 0, 0, -1, 0, -2, -1, 0, 1, 0, -1, 1, -1, -1, -1, 0, 0, -1, 4, 1, 0, 0, -1, 1, 1, -2, 0, -2, 1, -1, 2, 0, 1, -1, 1, 0, 0, 0, -1, -1, 1, 4, 0, 1, 0, 0, 0, -1, -2, 0, 0, 0, -1, 1, 2, -1, 0, 0, -1, -2, 0, -2, 0, 0, 4, 0, 0, 0, 1, -1, 0, -1, -1, -1, 1, 1, 0, -1, 0, -1, 0, 0, -2, 0, 0, 1, 0, 4, -1, 0, 0, 1, 0, 1, 1, 0, -1, 1, 1, 0, 0, 2, 0, 0, 0, 1, -1, 0, 0, -1, 4, 1, 0, 1, 1, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, -1, 0, 0, -1, 1, -1, -1, 1, -1, 0, 0, -2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 2, -1, -1, 0, -1, 1, -1, -1, 0, -1, 0, 0, -1, -1, -2, 1, 1, 0, 0, 4, -2, 1, -2, 1, 1, -1, 0, -2, 0, -1, -2, -1, -1, 1, 2, 1, 0, -2, 0, 0, 1, -2, 4, -1, 2, -1, -1, 0, 0, 2, 0, 1, 2, -1, 0, 0, -1, -1, -1, 2, 1, -1, 2, 1, -1, 4, 0, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 0, 1, 0, 2, -2, 2, 0, 4, -1, -1, 1, 0, 2, -1, 1, 1, 0, 0, 0, -2, -1, -1, 2, 0, 0, -1, 1, -1, 1, -1, 4, 2, -1, -1, 0, -1, 1, 1, 0, -1, 0, 2, 2, 1, 0, 0, 1, -1, 1, -1, 0, -1, 2, 4, 0, -1, -1, -1, 1, 0, 0, -1, -1, 0, 2, 2, -1, -1, 1, 0, -1, 0, 1, 1, -1, 0, 4, 1, 0, -1, 1, 1, 0, 2, 0, -2, 0, 1, 0, 0, -1, -1, 0, 0, -1, 0, -1, -1, 1, 4, -1, 0, 0, 1, 1, 1, 2, 0, 1, 0, -1, -1, -2, 1, -2, 2, 0, 2, 0, -1, 0, -1, 4, -1, 1, 2, 0, 0, -1, -1, -1, -1, 2, 0, 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, -1, 4, 0, -2, 1, 1, 1, 1, -1, 0, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 0, 1, 0, 4, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, -2, 2, 0, 1, 1, 0, 1, 1, 2, -2, 1, 6, -1, 0, -1, -1, 0, 0, 2, -1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 4, 0, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, -1, 2, 1, 0, 1, 1, 0, 0, 4, 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 2, -1, 1, 0, -1, 1, 0, 4, 2, 1, -1, -1, 1, 0, -1, 2, -1, 0, -2, 2, 0, -2, 0, -1, 1, 0, -1, 0, -1, 2, 4, 1, 0, -1, 1, 1, -1, 1, -1, 0, -1, 2, 2, 0, 1, -1, -1, 0, 0, 1, -1, 1, 1, 4, 1, -1, 0, 0, -2, 0, -1, -1, -1, 1, 2, 1, 0, -1, 0, 2, 0, 0, 1, -1, 0, 1, 4, -1, -1, 1, 1, -2, 2, 0, 2, 0, -1, 0, -1, 2, -1, 1, 2, -1, 0, -1, -1, -1, -1, 4, 1, 0, 1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 1, 1, 0, -1, 1, 4, 0, 0, 0, -1, 0, 0, 1, 1, -1, -2, 0, 1, 1, -2, 1, 0, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 1, 0, 2, 0, -2, -1, 2, 0, -1, -1, 2, -2, 2, 0, -1, 1, 4, -1, -2, -1, 0, 1, -1, -1, 2, 1, -1, 0, 1, -1, -1, 1, 1, -2, 0, 0, 1, -1, -1, 4, 0, 0, 1, 0, 0, -1, 1, -2, 0, 2, 0, -1, 1, 0, 0, 2, -1, 0, 0, -1, -2, 0, 4, 0, 0, -1, 1, 0, -2, 0, 2, 1, -1, 1, 1, 1, -1, 2, 0, -1, -1, 1, -1, 0, 0, 4, 0, 1, 0, 0, 1, -2, -1, 0, 1, 1, -1, -2, -1, 1, 2, 1, -1, 1, 0, 1, 0, 0, 4, 1, 2, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1, -1, 1, 2, 1, 0, -1, 1, 1, 4, 1, -1, 3, -1, -1, -1, 2, 1, -2, -1, 1, -2, 1, -1, 0, 1, -1, 0, 1, 0, 2, 1, 4, 0, -1, 0, 1, -1, 1, 1, 0, 0, 0, -1, 1, 0, 1, 0, -1, -1, 0, 0, 1, -1, 0, 4, -2, 1, 0, -1, -2, -1, -1, -2, 0, 0, 0, 0, 0, 2, 2, 1, -2, 1, 1, 3, -1, -2, 6, -1, -2, 0, 2, 0, -2, 0, 1, -2, 1, -1, 0, 0, 1, -2, 0, -2, 0, -1, 0, 1, -1, 4, 0, -1, -1, 0, 0, 1, 1, -1, -1, -1, 0, -2, -1, 0, 2, -1, 0, -1, 1, 0, -2, 0, 4, 0, -1, 0, 1, 1, -2, 0, -1, 0, 1, -1, 0, 2, 1, 0, 0, -1, -1, -1, 0, -1, 0, 4, -1, 0, 1, 1, -1, 3, 0, 0, 0, 2, 1, 0, -1, 1, 0, 2, 1, -2, 2, -1, -1, -1, 4, 0, 0, 0, 1, -2, 1, 1, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 4, -1, 0, -1, 1, 1, -1, 0, -1, -1, 1, 1, -1, -1, -2, 0, -1, -2, 0, 1, 1, 0, -1, 4, 2, 0, 1, -1, 1, 0, -1, 1, 0, 1, -2, -1, -1, 0, -2, 0, 1, 1, 1, 0, 0, 2, 4, 0, 0, -1, 0, 1, 2, 1, 0, -1, -1, 0, 1, 0, 0, 1, 1, -2, -1, 1, -1, 0, 0, 4, -1, 0, 0, -1, -2, -2, 2, 2, 1, -1, -2, -1, 0, -2, -1, 0, 3, -2, 1, 1, 0, -1, 6, -1, 0, -1, 2, 0, -1, 0, 2, 1, 1, 1, 0, 1, -1, -1, 0, 1, 1, -1, -1, 0, -1, 4, 1, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 1, 4, 0, -1, 1, 0, -1, -1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 0, -1, 1, 1, 0, -1, -1, -1, -1, 0, -1, 0, -1, 2, 2, 1, -2, 1, 0, -2, 4, 0, 0, 0, -1, 1, -1, 1, 2, 0, 0, 1, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 4, 1, 2, 1, -2, -1, -1, 1, 2, 1, -1, 0, -1, -1, 0, -1, 0, 1, -1, 1, 0, 0, 1, 4, -1, 0, -2, 0, 1, -1, -1, 0, 0, -1, 0, 1, -1, 0, 0, 0, -2, 1, -1, 0, 2, -1, 4, 1, -1, -1, 0, 0, 2, 1, -1, 0, 0, 0, -1, -1, -1, 1, -1, 0, 1, -1, 1, 0, 1, 4, 1, 1, 0, 1, 1, -1, -2, 0, -1, 0, 1, 1, -1, -1, 0, -1, 1, 1, -2, -2, -1, 1, 6, 0, 1, 0, -1, 0, -1, 2, 0, 0, 2, 2, -1, -2, 0, -1, 0, -1, -1, 0, -1, 1, 0, 4, 1, 1, -1, -2, 0, 1, 1, 0, 1, -1, 0, 1, 2, -2, -1, 1, -1, 1, 0, 0, 1, 1, 4, 0, -1, 0, -1, 1, 0, 2, -1, 0, -2, 0, -2, -1, -1, 2, 1, -1, 0, 1, 0, 1, 0, 6, 0, -1, 0, 2, 0, -1, 1, 0, 0, 0, 2, -2, -1, 0, 2, -1, 2, 1, -1, -1, -1, 0, 4, 1, -1, -1, -2, 0, -1, -1, -1, 1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -2, 0, -1, 1, 4, -1, 0, -1, 1, -1, -1, -1, 0, -1, 1, 0, 1, -1, 0, -1, -2, -1, 0, -1, 0, -1, -1, 4, -1, 2, -1, 0, -1, 2, 1, 1, 1, -1, 1, 0, -1, 0, 0, 2, 1, 1, 2, -1, 0, -1, 4, 0, 0, 1, 0, -1, 0, 1, -1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, -2, -1, 2, 0, 4, -1, 0, -1, 2, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 2, -1, 0, 1, -1, 0, -1, 4, -1, 0, -2, 0, -1, 0, 2, -1, 0, -1, -1, 1, 2, 1, -1, 1, -1, -1, 0, 1, 0, -1, 4, 1, 1, -1, 2, 0, 2, 0, -1, 0, -1, 1, 2, -1, 0, 0, -1, -1, -1, 0, -1, 0, 1, 4, 0, -2, 0, 0, 1, -1, 0, 0, -1, -1, -1, 0, -2, 0, -1, -1, 2, -1, 2, -2, 1, 0, 4, 0, 1, 1, -2, 0, 1, 0, 1, -1, -2, 1, 0, 0, 1, 0, 1, 0, 1, 0, -1, -2, 0, 4, 1, 0, 1, -1, -1, -2, -1, 0, 0, 2, -2, 2, 0, -1, 1, 1, 0, -1, 2, 0, 1, 1, 6, -2, 0, 0, 1, 1, 0, -1, -1, -2, -1, -2, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 2, 0, 1, -1, 1, 1, -1, 1, -1, 2, 1, 1, -1, 1, 1, 1, 2, 1, 4, 0, -2, 0, 1, -1, 1, 1, 0, 2, 0, 1, 1, -1, 2, 2, -2, 0, 2, -1, -1, -1, 0, 4, -1, 0, 0, -1, -2, 0, 1, 1, 1, 1, 1, -2, -1, 0, 2, -2, 1, 1, -2, -1, -2, -1, 4, 0, -2, 2, 1, -1, 0, -2, 1, -1, -1, 0, -2, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 4, 1, -1, -1, 0, 0, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, -2, 1, 4, 0, 1, 1, 0, 1, -2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, -1, -1, 2, -1, 0, 4, 1, 0, 0, -1, -1, 0, 0, 2, -2, -2, 0, 1, -1, 0, -1, 1, 1, -2, 1, -1, 1, 1, 6, 1, -1, -1, 0, 1, 0, 2, -1, 1, -2, 0, -1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 1, 4, -2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, 1, 0, 0, 0, 0, -1, -2, 4, 0, 0, 0, 1, -1, -1, 0, 1, -1, 0, 1, -1, 1, 2, 1, -2, 0, 1, -1, -1, 0, 0, 4, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, -1, -1, 0, 1, 1, 0, -2, -1, 0, 0, 0, 0, 4, 1, -1, -1, -1, -1, 1, -2, 0, 0, -1, 1, 1, 1, -1, 0, 1, 0, 1, 1, 0, 0, 1, 4, -1, 1, 0, 0, 0, -1, 1, 1, 0, -1, 1, 1, -1, -2, 0, 0, 0, 0, 1, 1, -1, -1, 4, -1, 0, 1, 0, 0, 1, -1, -2, 2, -1, -2, 0, 0, 2, 2, 2, 0, -1, 0, -1, 1, -1, 6, 0, 0, 0, 1, 0, 0, 1, 1, 2, -1, -2, 0, 0, -2, -1, 0, -1, 2, -1, 0, 0, 0, 6, 2, -2, 1, 2, 0, 2, 1, 2, 0, -2, 1, 2, -2, 1, 1, 0, 1, -1, 0, 1, 0, 2, 4, -1, 0, 1, -1, 1, -1, -2, 2, 0, 0, 0, 0, -2, 0, 1, 0, 1, 0, 0, 0, -2, -1, 4, -1, 0, 1, -1, 1, 0, -2, 0, 0, 1, 1, 0, 0, -1, 0, -2, -1, 0, 1, 1, 0, -1, 4, 0, 0, 1, 1, 2, 1, -2, 0, 1, -1, -1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 4, 1, -1, 1, -1, 1, 0, 0, 0, 0, -1, -2, 1, 0, 0, 1, -1, 0, 0, -1, 1, 0, 1, 4, 0, 2, -1, -2, 0, 2, 0, -1, 1, 0, -1, -1, -1, 0, -2, 1, 2, 1, -1, 1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 0, 1, 2, -1, 1, -1, 1, -1, 2, 0, 1, 1, 1, -1, -1, 1, 1, 0, 2, 4, 0, 1, -1, 1, 2, -1, 0, -2, 1, -2, 1, 1, 0, 0, 2, 0, -1, 0, 0, 1, 0, 0, 4, -2, 2, -2, -1, -1, -1, 0, 1, -1, 1, 1, 1, -1, 1, -1, 0, 1, 0, 0, 1, 1, -2, 4, -2, 2, 1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, -1, -1, 1, 1, -1, 0, -1, 2, -2, 4, -2, -1, 0, 0, 1, 1, 0, 0, 1, 2, 1, -1, -1, 1, 1, -1, -1, 1, 1, -2, 2, -2, 4, 2, 1, 0, -1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, -1, 1, -1, 2, 4, -1, 0, -2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, 1, -1, 4, -1, 1, -1, 0, -1, -1, 0, 0, -2, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 4, 1, 0, 1, 0, 1, 1, 0, 0, 1, -1, -1, 0, -1, -1, -2, 0, 0, 1, -1, -2, 1, 1, 4, 0, 1, -1, -1, 0, -1, -2, -1, 1, 1, -1, -2, 1, 1, 1, -1, 1, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, 1, 1, 0, 4, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 2, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0, -1, 4, 0, 1, 0, 1, -1, 0, 1, 1, 1, 0, 1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 4, 0, 0, 1, 1, -1, -1, 0, 0, 1, 0, 1, -1, 2, 0, 0, 0, 1, 0, 0, -1, 1, 0, 4, 0, 0, -1, 1, 1, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, -1, 0, 1, 1, 1, 2, 1, 0, -1, 1, 2, -2, 0, -2, 0, -1, 1, 1, 0, 0, 4, 0, -1, 0, 1, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1, -1, 0, 0, -1, 1, -1, 0, 0, 4, 0, -2, 0, 1, -1, -1, 0, -1, 1, 0, 0, 1, -1, 1, 1, 0, 0, -1, 1, -1, -1, 0, 4, 0, -2, 0, 1, 0, 1, 1, 1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 1, 0, 0, -2, 0, 4, 1, -1, 1, 0, 0, 1, -1, 0, 0, -1, 0, -1, -1, 0, 1, 0, -1, 1, 1, 0, -2, 1, 4, 0, 0, 1, 0, -1, -1, 0, 0, 0, -1, -2, 0, -1, 1, 0, 0, 1, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, 1, 0, 2, 0, 2, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, 4, -2, 1, -1, -1, 0, -1, 2, 1, 2, -1, 0, -1, -1, 1, -1, -1, 0, 1, -1, 0, -2, -2, 4, 1, 2, 1, 0, 0, -1, 0, -2, 1, -1, -1, 1, -1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 4, 2, 1, -1, 0, -1, 0, -1, 1, 1, -2, -1, -1, 1, -2, -1, 0, 1, 2, -1, -1, 2, 2, 4, 2, 0, 0, -2, 0, -1, 2, 1, -2, -1, -2, 0, -2, 0, 0, 0, 2, 1, -1, 1, 1, 2, 4, 1, 1, -1, -1, -1, 0, 1, -1, -1, -1, 1, 0, 0, -1, 2, 2, 1, 0, 0, -1, 0, 1, 4, -1, 0, 0, 2, -1, 1, 0, -1, 1, -1, 0, 2, 1, 1, 0, 0, -1, 0, 0, 0, 1, -1, 4, 1, -2, -2, 1, 0, 1, 0, 0, 0, 1, -2, -2, 2, 1, 2, 2, -1, -1, -2, -1, 0, 1, 6, -1, 0, -1, -1, 1, 1, 1, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, -2, -1, 4, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, -2, -1, 2, 2, -2, -1, -1, -1, 2, -2, 0, 1, 6, -2, 1, 0, -1, 1, -1, 0, 2, 1, 0, -1, -1, -1, 1, 1, 2, 0, -1, 1, -1, 0, -2, 4, 1, -1, -1, -2, 0, -1, -1, -1, -1, 0, 1, 0, -1, 1, 1, 1, 1, 0, -1, 0, 1, 1, 4, -1, -1, -1, 1, -1, 1, 0, 1, 1, 0, -1, -1, -2, -2, -1, 0, 1, 1, 0, 0, -1, -1, 4, 0, 1, 0, 2, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 0, 1, -1, -1, -1, -1, 0, 4, 0, 0, 0, 1, 1, -1, 0, 0, 1, -1, -1, -2, -1, 1, 0, 1, -1, 1, -2, -1, 1, 0, 4, 0, 1, 0, 1, 1, 0, 0, -1, 0, 1, 0, 1, -1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 4, 1, 0, -1, 1, 1, 0, -1, -1, -2, -2, 0, 0, 1, 1, -1, 0, -1, -1, 2, 0, 1, 1, 4, 0, -1, 1, -1, 0, 0, 0, -1, 0, 0, 2, -2, 0, 0, 2, -1, 1, -1, 1, 0, 0, 0, 4, 1, -1, 0, 0, 1, 0, 0, 0, -1, 1, -2, 0, 0, 1, -1, 0, -1, 1, 1, -1, -1, 1, 4, 0, 0, 1, -1, 0, 1, 0, 2, 1, 2, -1, -2, 0, -1, 1, 1, -1, 1, 1, 1, -1, 0, 6, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, -1, -1, 0, 1, -1, 0, 0, 1, -1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 0, -2, -1, 1, 0, 1, -2, 2, -1, 1, -1, -1, 2, 0, 1, 0, 1, 1, -1, 4, -1, -2, 1, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 0, -1, 1, -2, -1, 0, 1, 2, -1, 6, 3, -2, -1, 1, 1, 1, 1, -1, 3, -1, 2, 1, 1, 0, -2, 0, 2, 1, 1, 1, -2, 3, 6, -1, 1, 2, 2, 2, -1, 1, 0, -2, 1, 2, 2, 0, -1, 0, 1, -1, -1, 0, 1, -2, -1, 4, 0, 0, 0, 1, -1, 0, -1, 0, -1, 0, 0, 1, 2, -1, -2, 0, 1, -2, 0, -1, 1, 0, 4, 2, -1, 0, -2, 2, -2, 1, -1, 1, 1, -2, 0, -1, 0, 0, -2, -1, 0, 1, 2, 0, 2, 4, 1, 0, -1, 1, -1, -1, 1, 2, 2, -1, 0, -2, 0, 0, -1, 1, -2, 1, 2, 0, -1, 1, 4, 0, -1, 0, 0, -1, 1, 0, 0, 2, 0, 1, 0, -1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 4, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, -1, 1, 1, 1, 1, -1, -1, -2, -1, -1, 0, 4, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 2, -2, 1, -1, 1, 0, 2, 1, 0, 0, -1, 4, -2, 1, -1, 1, 1, -1, 0, -1, 0, -1, -1, 2, 0, 3, 0, -1, -2, -1, 0, 0, 1, -2, 4, -1, 2, 0, 0, 1, -1, 0, 1, 1, 1, -1, 0, -1, -2, 0, 1, -1, -1, -1, -1, 1, -1, 4, -1, -1, -1, 0, -1, 1, 1, 1, -1, 1, 0, 2, 1, -1, -1, 1, 1, 0, 0, -1, 2, -1, 4, 1, 0, 0, 0, 0, 0, 1, 0, -1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, -1, 1, 4, 2, -1, -1, -2, 0, 0, 0, -1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, -1, 0, 2, 4, 0, -1, -2, 1, 0, 0, 2, -1, 0, 0, 1, -2, -1, 2, 0, 0, -1, 1, 0, 0, -1, 0, 4, 0, 1, 0, 0, 1, 0, 1, -2, -1, 2, 0, 0, 0, 1, 0, 0, -1, -1, 0, -1, -1, 0, 4, 0, -2, 0, 1, 1, -2, 0, 0, -1, -1, -2, 1, 0, 0, -1, 0, 1, 0, -2, -2, 1, 0, 4, 0, 0, 0, 0, -1, 2, 1, -2, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 0, -2, 0, 4, 1, -1, 1, 0, 1, -1, 0, 0, 0, -1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 1, 1, -1, 1, -2, -1, 0, 1, 2, -1, 1, -1, 0, 0, 0, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, 1, -1, -1, 0, -1, 2, 1, -1, 2, -2, -1, 2, 1, 2, -1, 2, 0, 1, 1, 4, 1, -2, 2, -2, -2, -1, 0, 0, 1, -1, 0, 0, -2, -1, 2, 0, -1, -1, -1, 0, 0, 1, 4, -1, 1, -1, 0, -2, 0, 1, 1, 1, 0, 1, -1, 1, -1, -1, 0, 0, -2, -1, -1, -2, -1, 4, -2, 1, 0, 0, -1, -1, -1, 1, -1, 0, 2, 1, -1, 0, 0, -1, 1, 1, 1, 2, 1, -2, 4, -2, 0, 0, 1, 0, 1, -1, 1, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, -2, -1, 1, -2, 4, 2, 1, -1, -1, 0, 1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, -2, 0, 0, 1, 0, 4, 1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 1, -1, 0, 0, -1, 1, -1, 0, 1, 4, -1, -1, 0, -1, 2, 0, -2, 1, 0, 2, 1, 1, 0, 2, 0, 1, -1, 0, -1, 0, -1, -1, 4, 1, 0, 2, -1, 0, 3, 0, 1, 0, 2, 0, -1, 1, 1, 1, -1, 1, 0, 0, 0, -1, 1, 4, 1, 1, -1, -1, 1, 0, -1, -2, 0, 0, 0, -1, -1, 1, 1, -1, 1, 0, -1, 0, 0, 1, 4, -1, 0, 0, 0, -1, -1, 0, -1, 0, -1, 2, 0, 0, -1, 1, 0, 1, 0, -1, 2, 1, -1, 4, -2, -1, 2, 0, 2, -1, 2, 0, 1, -2, 0, 1, 0, 0, -1, 0, 0, 2, -1, -1, 0, -2, 4, 1, -1, 0, -2, 2, 0, 0, 0, -1, -2, -1, 2, -1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 4, 0, -1, -1, 1, 0, 1, 0, 2, -1, 1, 1, -1, -1, 0, -1, -2, 3, 1, 0, 2, -1, 0, 6, 0, 1, -1, 2, 0, 1, 1, 2, -1, -1, 0, -1, -2, 0, 1, 0, 0, -1, 0, 0, -1, 0, 4, 1, 0, 1, 1, 1, 2, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 2, -2, -1, 1, 1, 4, 0, 2, 1, 1, -1, -1, 0, 0, -1, 0, 0, 1, 2, 0, -2, 0, -1, 2, 1, -1, 0, 0, 4, 1, 0, 0, 2, -1, 0, -1, -1, 0, 0, 1, 1, 2, 0, -1, 2, 0, 0, 2, 1, 2, 1, 6, 1, 1, 0, -1, -2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 4, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, -1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 2, 1, 2, -1, -1, -1, -2, -1, 1, 0, 2, 2, -1, -1, -1, 2, 1, -2, -1, 1, 4, 2, -1, 2, 1, 0, -2, 0, -1, 0, -1, 1, 2, 0, 1, 0, -2, 2, 2, -1, -1, 1, 2, 4, 1, 2, 2, 1, -2, 1, -2, 0, -1, 0, 0, -1, 0, 1, 0, 2, 2, -2, -2, 2, -1, 1, 4, 1, 2, -1, -1, -1, -1, 0, 1, -1, 0, 1, -2, -1, 0, 1, 0, -1, -1, 1, 2, 2, 1, 4, 1, -1, -1, 1, 0, 0, -1, 0, 0, -1, 0, -1, -2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 4, -1, -1, -1, -1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 1, -1, -1, -1, 0, 1, -1, -1, -1, 4, -1, 1, 0, 1, -1, -1, 0, -2, 0, 2, 1, 0, 0, -1, 0, -1, -2, -2, -1, -1, -1, -1, 4, 0, 2, 0, 1, 0, -2, 0, 1, -1, 1, -2, -1, 2, 2, -1, 0, 1, -1, 1, -1, 1, 0, 4, -1, 1, -1, -1, -2, -2, 0, 1, 0, 0, 1, -1, 1, -2, -1, -2, -1, 0, -1, 0, 2, -1, 6, 1, 0, 1, -2, -2, 2, -1, 0, -1, 0, 3, 3, -1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 4, -1, -1, -1, 0, 1, 0, 0, -1, 0, 0, 0, 1, -1, -1, 1, -1, 1, -1, 1, -1, 0, -1, 4, -1, 0, 1, -1, -2, 1, 0, -1, -1, 1, 0, 1, 0, -1, 0, 0, -1, 0, -1, 1, -1, -1, 4, 1, 1, 1, 1, 0, 1, 0, 0, -1, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, -1, 0, 1, 6, 3, -1, 0, -2, 2, 0, -2, -3, 2, 0, -1, 1, -1, 1, -2, 0, -2, -2, 0, 1, 1, 3, 6, 0, 0, 0, 0, -1, -2, -3, -1, 1, 0, -2, 0, 0, 0, 1, 0, 2, 1, -1, 1, -1, 0, 4, 1, 0, -1, 1, 1, 1, -1, 0, 1, -1, -1, -1, 2, -1, 1, -1, 0, -2, 1, 0, 0, 1, 4, 1, 0, 0, -1, -1, -1, -2, 0, 0, -2, 0, 1, 1, 0, 0, 0, 1, 0, -2, 0, 0, 1, 4, -1, -1, 0, 0, 2, 2, 2, 1, 2, 1, 0, -2, 0, -1, -1, 0, 1, 2, 0, -1, 0, -1, 4, 1, -2, -1, 1, 2, 2, 0, 2, 1, 0, -1, 1, 0, 0, -1, 0, 0, -1, 1, 0, -1, 1, 4, 0, 0, -2, -1, -2, -1, 0, -1, -1, 2, -1, 3, 0, -1, 0, -2, -2, 1, -1, 0, -2, 0, 6, 2, -1, -1, -2, -1, 0, -1, 0, 2, 1, 3, 0, 1, -1, -3, -3, 1, -1, 0, -1, 0, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 1, 1, 0, 1, 0, 1, -2, 1, 1, 1, 0, -1, 1, -2, 0, -2, -2, -2, 0, 4, -1, -1, 1, -1, 2, -1, 2, -1, 1, -2, -1, 1, 1, 1, -1, -1, 1, 1, -2, -2, 1, -1, 4, -1, 0, -1, 1, -1, 1, 0, 0, 1, -1, 0, 1, 1, -1, -1, 1, 0, 0, -1, -1, -1, -1, 4, -2, -1, -1, 0, 0, 1, 1, 1, -1, -2, 0, -1, 2, 1, 0, 0, 0, 0, 1, 1, 0, -2, 4, 0, 1, 1, 1, 0, -1, -2, 2, 2, 0, 1, -1, -1, -1, 0, 0, 0, 1, -1, -1, -1, 0, 4, -2, 2, -2, 1, -2, 1, 2, 1, -2, -1, 0, 0, 0, -1, 1, 1, 0, 2, 1, -1, 1, -2, 4, -1, 2, -1, 1, -1, -1, 1, 1, 1, -2, 0, 1, 0, -2, -1, 1, -1, -1, 0, 1, 2, -1, 4, -1, 2, -2, 0, 3, 1, -2, 0, 0, 0, 0, -1, 1, 0, 0, 2, 1, 0, 1, -2, 2, -1, 4, 0, 1, -1, -2, 1, 2, 2, -1, 0, 1, 0, -2, -1, 1, -1, 0, 1, 0, 1, -1, 2, 0, 4, -2, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, -1, -2, 1, 0, 1, -1, -2, 1, -2, 1, -2, 4, -1, -2, -2, 0, 1, -1, 0, 0, 2, 0, 0, 1, -2, 1, 1, -2, 1, -1, 0, -1, 0, -1, 6, -2, -1, -1, -2, 1, 0, 1, -1, -1, 2, 1, -1, -1, -1, 2, 2, -1, 3, -2, 1, -2, -2, 6, 1, -2, 0, 0, -1, -2, -1, 2, 0, 1, 1, 0, -2, 2, 1, 1, 1, 1, 1, -2, -1, 1, 4, 0, 1, -1, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, -2, 1, -2, 2, 0, 0, -1, -2, 0, 4, 0, 0, 0, 1, 0, -2, -1, -1, 1, 1, -1, 1, -1, 1, 0, 2, 0, 1, -2, 0, 1, 0, 4, -1, 0, 0, 1, 1, 0, 1, -1, -1, 2, -1, 0, -2, 0, -1, 1, -1, 1, 0, -1, 0, -1, 4, 0, -1, -1, 0, 0, -2, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 0, 1, 2, 0, 1, 1, 0, -1, 0, 1, 0, 1, 1, 0, 1, -2, 0, 1, 0, -1, 0, 4, 0, -1, -1, -2, 1, 0, 0, 0, -1, 0, -1, 0, -1, 2, -1, -1, -1, 0, 1, -1, 0, 0, 4, 2, 0, -2, -2, 0, 0, 0, 1, -2, 1, -2, 1, 0, -1, 2, 0, -2, 1, 0, 1, -1, 2, 6, 1, -2, -2, -1, 0, 0, 1, -1, 0, -1, -1, 0, 2, 0, 0, -1, 0, 0, 2, -1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, 1, 1, -2, -1, 0, 0, 2, 1, 0, 1, 0, -1, 1, 1, 0, 1, -2, 4, -2, 1, 1, 0, -2, -1, 2, -1, 1, 0, -2, -1, -1, -1, 1, -1, -1, 1, 1, 0, 2, -2, 4, 0, -1, -1, 2, 0, -2, 1, -1, 0, 2, 2, 0, 1, 0, 0, 0, 0, -1, 1, -2, 1, 0, 4, 1, -1, 1, 0, 0, 1, 0, 1, -2, 1, 1, -1, 0, 0, 0, 0, -1, 1, 0, 1, -1, 1, 4, -2, -1, -1, 1, 0, 0, 0, -2, -1, -1, -1, 1, 0, -1, 0, 0, 0, -1, 0, -1, -1, -2, 6, -2, 0, 0, 0, -1, -1, 2, 0, 0, -1, -1, -1, 0, 1, -1, -1, 1, -2, 2, 1, -1, -2, 6, 2, -2, 2, 1, 2, 2, 2, 1, 0, -2, 1, 2, -1, 0, 2, 1, -1, 0, 0, -1, 0, 2, 4, -2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, -2, 2, -2, 0, 1, 0, -2, -2, 4, -1, 0, 0, -2, -1, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 2, 0, -1, 4, 0, 1, 1, 1, 0, 0, -1, 1, -1, -1, -1, 0, 0, 1, -1, 0, 0, -1, 1, 1, 0, 0, 4, 0, 1, 0, -1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 1, 0, 4, -1, 1, 1, 1, -2, -1, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, 2, 1, -2, 1, 1, -1, 6, 1, -1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 2, 1, -1, 0, 2, 1, -1, 1, 0, 1, 1, 4, 0, 1, -1, -1, 0, 1, -1, 2, 0, -1, 0, 1, -1, 0, 1, 0, -1, 0, -1, 1, -1, 0, 4, 0, -2, 0, 2, 0, -1, 1, 1, -1, 1, -1, -1, -1, 0, 0, 0, 0, -1, 1, -1, 1, 0, 4, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, -1, -2, 0, 0, -1, 1, -2, 0, -1, -2, 0, 4, 0, -1, 0, 1, -1, -1, -1, 0, 0, 0, -1, 1, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, 4, 0, -2, 1, -1, 1, -1, 0, 0, -1, 0, 2, 1, -1, -1, 1, 0, 1, 0, 2, -1, -1, 0, 4, 0, 0, 1, 1, 1, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, -2, 0, 4, 0, 1, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, 1, 0, 0, -1, -1, 0, 1, 1, 0, 0, 4, -1, 1, 0, 1, 1, 0, -1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, -1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 1, -1, -1, -1, 1, -1, 1, -1, -2, 0, 2, 2, -1, -1, 1, 0, 1, -2, 0, 4, -1, -1, 2, 2, -2, -2, 1, 2, 1, -1, 0, 2, 2, 0, -1, 2, -1, 0, -2, 1, 1, -1, 4, 0, 0, 0, 1, 1, -1, -1, 1, 0, 1, 1, 1, 1, 0, -2, 1, 1, 2, 1, 2, -1, 0, 4, -1, -1, 1, 1, 0, -2, 1, 1, -1, -2, -1, 1, 1, -2, 0, 0, 2, -2, 1, 2, 0, -1, 4, 1, -2, -2, 2, 0, 0, -1, 0, 2, 1, 0, -1, 2, -1, 1, -2, 1, -1, 2, 0, -1, 1, 4, -1, -1, -1, 2, 0, -1, 1, 1, 1, -1, -1, 2, -2, 0, -1, 1, -1, -2, 1, 1, -2, -1, 4, 2, -1, -2, 0, 1, 1, -1, -2, 0, 2, -1, 1, 1, 1, 1, -1, -2, 1, 1, -2, -1, 2, 4, -1, -2, 0, 2, 1, -1, -2, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 0, 2, -1, -1, -1, 4, -1, -1, 0, -1, 1, 0, 1, 0, 1, 0, 0, -1, 1, -1, 2, -1, -2, 0, 2, -2, -2, -1, 6, -1, -2, -1, 1, 3, 0, -2, 2, -1, -2, -2, -1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, 4, 1, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, -1, -1, 0, 1, -1, -1, 1, 2, 0, -2, 1, 4, 0, -1, -3, 0, 2, -1, 0, 0, 1, 0, -2, 0, 1, -1, 0, 1, 1, 1, -1, -1, 0, 0, 4, 1, -1, -1, 0, 0, -1, 1, 0, 3, 0, 2, 1, -2, 2, 1, -1, -1, 1, 1, 0, -1, 1, 4, 2, 0, -1, 2, 0, 0, -2, 2, 2, 2, 1, -1, 1, 1, -2, -2, 0, 3, 0, -3, -1, 2, 6, 2, -3, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, -1, 0, -1, 1, 0, 0, 0, -1, 0, 2, 4, -1, -2, 1, 0, 2, 0, -1, -1, 0, 1, -1, -1, 2, 1, 0, -2, 1, 2, 0, -1, -3, -1, 4, -1, 0, 0, 1, 0, -1, 2, -2, -2, 2, 2, -1, -1, 1, 2, -1, -1, 0, 2, 0, -2, -1, 6, -1, 0, -4, 1, 1, -1, 1, 0, -1, -2, 1, 1, 0, -1, 1, 0, -1, 0, 1, 1, 0, -1, 4, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 1, 2, 1, -2, 2, 2, -2, -1, 1, 1, -1, -2, 1, 1, 0, -2, 0, 2, 1, -4, 1, 1, 6, -1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -1, -1, 0, 3, 2, 0, 0, 0, 1, 0, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -2, 1, -2, -1, -2, 0, 0, 2, 0, -1, 0, 2, 1, 1, -1, 0, 0, -2, 4, 1, 0, -1, 2, -1, 2, 0, 1, 1, -1, -1, -1, 1, 1, 0, 0, -1, 2, 0, -1, 0, 1, 4, 0, 1, 1, 1, 1, -2, 0, 2, -2, 0, -2, 2, 1, 2, 1, 0, -1, 0, 1, 0, 0, 0, 4, -2, 1, -2, 2, -2, -2, 0, -1, 0, 0, 0, -1, 0, 0, 2, 0, -1, 2, 1, -1, 1, -2, 4, -1, 2, -1, 1, 1, 1, 1, 1, -1, 1, 0, 2, 1, -1, -2, 0, 0, -2, 2, 1, 1, -1, 4, -2, 2, 0, 0, 0, 0, -2, -1, 1, 1, 0, 0, 0, 1, 0, 0, 1, -1, 1, -2, 2, -2, 4, -1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, -2, 0, 0, -2, 2, 1, 2, -1, 2, -1, 4, -1, 0, 1, -1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, -2, -2, 1, 0, 0, -1, 4, 2, -1, 2, 0, 1, -1, 0, -1, -1, -1, 0, 1, -1, -2, 1, 0, -2, 1, 0, 0, 0, 2, 4, 1, 0, 0, 0, 0, 0, -1, 0, -2, 1, 0, -1, 0, 1, 2, 0, 1, 0, 0, 1, -1, 1, 4, -1, 1, -1, 1, -1, 2, 1, -1, -1, -1, 0, 0, -1, -2, -1, 1, 0, 0, -1, 2, 0, -1, 4, -1, 0, -1, -1, 0, 0, -1, -1, 1, -1, 2, -1, 0, 0, 1, -2, 1, -1, 0, 0, 1, -1, 4, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, -1, -2, 0, -1, -1, -1, -1, 1, 0, -1, 0, 0, 4, -1, -1, -1, -2, 0, 0, 1, -1, -1, 1, 2, 0, 1, 1, 1, 1, -1, 0, 1, -1, 0, -1, 4, 1, 0, 1, 0, -1, 0, 1, 0, 1, 1, -1, 0, 1, 1, 0, 0, 0, -1, -1, 0, -1, 1, 4, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, -1, -1, 2, 0, 0, -1, 0, 0, 6, 2, -1, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, 1, 2, 4, 0, 1, 0, 1, 1, -1, 0, 2, -1, 0, 0, 0, -1, -2, -1, -1, 1, 0, 0, 1, -1, 0, 4, -1, 0, 2, -1, 2, -1, 0, -2, 1, -2, 0, 0, 1, -1, -1, 0, 0, -1, 1, -1, 1, -1, 6, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, 4, -1, 0, -1, 1, 2, 0, 0, 0, 1, -1, -1, 0, -1, 1, -1, 1, 0, 0, 1, 2, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, 1, -1, 0, 0, 2, 0, -1, 1, 0, -1, 0, -1, -1, 1, 0, 0, -2, 4, -2, 2, -1, 1, 1, 0, -1, 1, -2, 1, 0, -2, 0, 0, 1, 0, 0, 0, 1, -1, 2, -2, 4, -2, 0, -1, 0, -1, 1, -1, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, -1, 0, -2, 2, -2, 4, 0, 2, -1, 1, -1, 1, -2, 0, 0, -2, 1, 1, 1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 4, 0, 0, 1, -1, 1, 1, -2, 1, 1, 1, 1, -1, -1, 0, 1, 1, 0, -1, 1, -1, 2, 0, 4, -2, 2, 1, -1, -1, 0, 0, -1, -1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, -2, 4, -2, -2, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 1, -1, -1, 0, -1, 1, 1, 2, -2, 4, 1, 0, -1, -1, 1, 0, -1, 1, 1, -1, 1, 1, 0, 1, 0, -1, 1, -1, -1, 1, -2, 1, 4, -2, -1, 1, 1, 0, -1, 1, 0, 1, 1, -1, -1, 2, 0, 1, -1, 1, 1, -1, 1, 0, -2, 4, 0, 0, 1, -1, 2, -1, -1, 0, -1, 0, 0, -1, 2, -2, 0, -2, 1, -1, 1, -1, -1, 0, 6, -1, -1, 0, 0, 0, -2, 1, 1, -1, -1, -1, 0, 1, 0, 0, -2, 0, 0, -1, 1, 0, -1, 4, -1, -1, 1, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 1, 1, 1, -1, -1, 4, 0, 0, 1, -1, 0, 0, -1, 0, 1, 1, -2, 2, -2, 1, -1, 0, 0, 0, -1, 0, -1, 0, 4, -1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 1, 1, -1, 0, -1, -1, 2, 0, 1, 0, -1, 4, -1, -2, 0, 0, 0, -1, -1, -1, 0, 0, 1, 1, 2, -1, 1, 1, -1, 0, -1, 1, 0, -1, 4, 1, 1, 0, -1, 0, 1, 0, 1, 0, 1, -1, 2, 0, 1, 0, -1, -2, 0, -1, 0, -2, 1, 4, -1, -1, 1, 1, 1, -1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, 1, -1, 4, 1, -2, -1, 0, -1, 0, -1, 0, 0, 0, -1, 1, 1, -1, 1, -1, 0, -1, 0, 0, -1, 1, 4, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, -1, 1, 0, -1, 1, -2, -1, 4, 2, 0, 0, 1, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, -1, 0, 1, -1, -1, 2, 4, 0, 0, -1, 0, -1, 0, 1, -1, 1, 2, -1, -1, 0, 1, 1, -1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 0, -2, 0, -1, -1, -1, -1, 1, 0, 0, 0, -1, -1, -1, 0, 1, 1, 0, 2, 6, 1, -1, 0, 1, 1, -2, -2, -2, 1, 1, -2, 0, 1, 2, 1, -3, -2, 3, 0, 0, 0, 1, 4, 1, 0, -1, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 2, 0, -2, 0, 1, -1, 1, -1, 1, 4, 1, -1, 1, 1, 1, 0, -2, 1, 1, 0, 1, -2, -1, 2, 1, -2, 2, -1, 0, 0, 0, 1, 4, 2, 2, 2, 1, 1, 1, 1, -1, -1, -1, 0, -1, 2, 0, -2, 0, -2, -2, 1, -1, -1, 2, 6, 1, 0, 2, 1, 2, 1, -2, -1, 1, 2, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 2, 0, 1, 1, 2, 0, -1, 0, 0, -1, 2, 0, -2, 0, 0, -1, -2, 0, 1, 2, 0, 2, 4, 0, 1, 1, 1, 0, -1, -1, -1, -1, 3, 1, -3, 0, -1, -1, -2, -1, 1, 1, 2, 0, 0, 4, 2, -1, 1, 0, 0, 1, -1, -1, 2, 1, -2, 0, 0, -1, -2, 0, 0, 1, 1, 1, 1, 2, 4, 0, 0, 0, -1, 0, 0, 0, 2, 0, -2, -1, 1, -1, 1, -1, -2, 1, 2, 1, 1, -1, 0, 4, 0, -2, -1, -1, 2, 0, 0, -1, 0, -1, 0, 1, 1, -1, 1, 1, 1, 2, 1, 1, 0, 0, 4, -1, 0, 1, -1, -1, 1, 1, -1, 0, 0, 0, -2, 0, 1, -1, -2, 0, 0, 0, 0, -2, -1, 4, 0, 0, -1, -1, 1, 1, -1, 1, 0, 0, 0, -1, 0, -1, -1, -1, -1, 0, -1, -1, 0, 0, 4, 1, -1, -1, 0, 2, 0, 0, 0, 0, 1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, 1, 4, 0, 0, -1, 0, 0, 1, 1, -1, 2, 0, -2, 0, 2, 0, -1, -1, 0, 2, -1, -1, -1, 0, 4, 2, -2, -2, 2, -1, 1, -1, 1, 2, -1, -1, 1, -1, -1, -1, 0, 0, -1, -1, -1, 0, 2, 4, -2, -2, 2, 0, 1, -1, -3, 0, 2, 2, 0, 2, 3, 2, 2, 0, 1, 1, 0, -1, -2, -2, 6, 2, -4, 1, -1, 0, -2, -2, 1, 0, -1, 0, 1, 1, 0, -1, 1, 1, 2, 0, -2, -2, 2, 4, -2, 0, 0, 1, 3, 0, -2, -2, 0, -2, -3, -2, -2, 0, -1, -1, 0, 0, 2, 2, -4, -2, 6, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 1, -1, 0, 1, 0, 0, 4, -1, 0, 0, -1, -1, -2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 0, 2, 0, -1, 1, 1, -1, 2, 0, 1, -1, -1, -1, 1, 1, -1, -1, 1, 4, 1, 0, 0, -1, 0, 0, 1, 0, 2, -1, 1, -1, 1, 0, 0, -2, 0, 2, -2, -1, -1, 1, 4, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, -1, 0, 2, -1, 1, 1, -2, 0, -1, 0, 2, 4, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, -2, -1, 0, -1, 1, 1, -2, 0, -1, 0, 1, 0, 4, -1, -1, 2, -1, 0, 0, -1, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1, -1, 4, 2, 0, 0, 0, 0, 0, 2, 2, -1, 0, 2, 1, 2, -1, 1, -1, 2, 0, 0, 0, -1, 2, 4, 1, 0, 0, 0, -1, 3, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 4, -1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 4, -2, 0, 1, 1, 0, 1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, -2, 4, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, -1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 4, 0, 1, -1, -1, 0, 0, -2, 0, 2, -2, -1, -1, -1, 0, 1, -1, 0, -1, 0, 1, 0, 0, 4, 0, 0, -1, 0, 0, 0, -1, -1, 1, 0, 2, 1, 1, 1, -2, 2, 3, 1, 1, 0, 1, 0, 6, 1, 1, -1, 1, -1, 3, 1, -1, 0, 0, -1, 1, 1, 0, 2, 2, 1, 0, 1, -1, 0, 1, 4, -1, 0, 1, 1, 1, -1, 1, 0, 1, 1, -1, -2, 0, -1, 0, 0, 1, 0, -1, -1, 1, -1, 4, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 4, 1, 0, -1, 0, 1, 1, -1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 4, 1, 1, -1, 1, 0, -1, -2, -1, -1, 0, 1, 0, 0, 1, -1, -2, 0, -1, 1, 0, 0, 1, 4, 0, -2, 3, 0, 1, 0, 1, 1, -1, 2, 2, 0, 0, 1, 0, -1, 3, 1, 1, -1, 1, 0, 4, 0, -1, 0, 1, 2, 1, 1, 0, -1, 0, 0, -1, 1, 2, -1, 1, -1, 0, 0, -1, -2, 0, 4, -2, 0, -1, -2, -2, -2, 0, 1, 0, 0, 1, -1, -2, 1, -1, 1, 0, 1, 1, 3, -1, -2, 6, -1, -1, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, -1, 0, 1, 0, 1, 1, 1, 2, -1, 1, -1, 2, -1, -1, 0, -2, 4, -2, 2, 1, -1, 1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 2, 0, 1, 2, -2, 4, -2, -1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 1, -1, 1, 1, 0, -1, 1, 0, -2, 2, -2, 4, 1, 0, 2, 0, 1, -1, 1, -1, -1, -1, -2, 0, -1, 0, -1, 0, 0, 1, 0, 1, -1, 1, 4, -1, 2, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 0, 0, 2, 1, -1, 0, 0, -1, 4, 0, 1, 0, -1, 0, 1, -1, 0, -1, -1, -1, -1, 1, -1, 0, 0, -1, 1, -1, 2, 2, 0, 4, 0, -1, -2, 2, 1, -2, 1, -1, 0, -2, 0, -2, 0, 0, 2, -1, 0, -1, 0, 1, 1, 0, 4, 0, -1, 0, 0, -2, 1, -1, -1, -2, -1, 0, 0, 1, 1, 0, 1, -1, 1, -1, 0, -1, 0, 4, 1, 0, -1, 1, 0, 1, 1, 1, 0, 1, 1, -1, 0, 1, 0, 0, -1, -1, -1, -2, -1, 1, 4, -1, 0, 2, -1, 2, 0, 1, -1, 2, 0, 0, -1, 0, -1, 0, 1, 1, 0, 2, 0, 0, -1, 4, 0, -1, 1, 0, 0, -1, 1, -1, -1, 0, 1, 1, 0, 0, -1, 1, 1, 1, 0, -1, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, 1, -1, -1, -1, -2, -2, 1, 2, -1, -1, 4, -1, 2, 0, 2, 0, 1, 0, 0, -1, 1, -1, 1, -1, 1, 0, 1, 1, 0, -1, 1, 0, -1, 4, 0, 0, -1, -1, -1, 0, 1, 1, 2, 0, 1, -2, -1, -1, -1, -1, 1, 2, 0, 0, 2, 0, 6, -1, 2, 0, 2, 1, -1, -1, -1, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 4, 1, 1, -1, 1, -1, 0, 1, 0, 1, -1, -1, -1, -2, -2, 1, 1, -1, 0, 2, -1, 2, 1, 4, 1, 1, 1, -1, -1, -1, 0, 1, 0, -1, -1, 0, -1, 0, -1, 1, 0, 0, -1, 0, 1, 1, 4, -1, 1, 0, 0, 2, -1, 0, -1, -1, 1, -2, 0, 1, 2, -1, 0, 1, -1, 2, -1, 1, -1, 4, -1, -1, -1, -1, 2, -1, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, 0, 1, 1, 1, 1, -1, 4, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, -1, -1, -1, 0, -1, 0, 4, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, -1, 1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, -2, 1, -1, 0, 1, 1, -1, 0, 0, 0, 2, -1, -1, 0, 0, -2, 0, 0, -2, 4, -2, -2, 2, -1, 1, 1, -1, 0, 0, 1, -1, -1, -1, 1, 0, 0, 1, 2, 0, 1, 2, -2, 4, 0, -2, 2, -1, -1, 2, 0, 0, 1, 0, 1, 1, 0, -1, -1, 0, -1, 1, 0, 2, -2, 0, 4, -2, 0, -1, 0, 0, 1, 0, -2, 1, 1, 1, -1, 0, 0, 0, -1, -1, 0, -2, 2, -2, -2, 4, -1, 2, 1, -1, 0, 0, 1, -1, -1, -2, 1, 0, 0, 0, 2, 0, 1, 1, -1, 2, 0, -1, 4, 1, -2, 0, 0, 0, 2, 1, -1, 2, 1, -1, 0, 1, -2, 2, 1, -1, 1, -1, -1, 2, 1, 4, -1, -2, 0, 0, 2, 1, -2, -1, 2, 0, 0, 0, 1, 0, 2, 0, 1, -1, 0, 1, -2, -1, 4, 0, 0, -1, -1, -2, 1, -1, 0, -1, 1, -1, 2, -1, 0, 1, -1, 2, 0, -1, 0, -2, 0, 4, 1, 1, -1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 4, -1, 1, 0, 0, 1, 0, -1, -1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 4, -2, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 0, 1, 1, -2, 1, 2, 2, -1, -1, 1, -2, 6, 1, -2, 1, 1, -2, -1, 0, -1, 2, 2, 0, -1, 0, 1, -1, 1, 1, -2, 0, 0, 0, 1, 4, -1, 0, 0, 1, 0, 1, -1, 1, 1, 0, -1, 1, 1, -1, -1, -2, 1, 2, 0, 1, -2, -1, 4, 0, 0, 0, 0, 0, 1, -1, 0, 2, -1, 1, 1, -2, 2, -1, -1, 0, 1, -1, 1, 0, 0, 4, -1, -1, 0, 0, -3, 1, 0, -1, 1, 0, -1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, -1, 4, -1, 1, 0, 2, 0, 2, -1, 0, -1, 0, 0, -1, 0, -1, 0, -1, 1, -2, 1, 0, -1, -1, 4, 1, 0, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 4, -1, 1, 1, -2, 2, -1, -1, 2, -2, 1, 2, 0, 0, 0, -1, -1, 1, -3, 2, 1, 1, -1, 6, -1, 1, 0, 0, 1, -1, 0, 2, 0, -1, 0, -1, 0, 2, 1, -1, 1, 0, -1, 0, 1, -1, 4, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, -1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -1, 0, 0, -2, 0, 0, 0, 1, -1, 2, -1, -2, 1, 1, 0, 0, 1, -1, 0, -1, 4, -2, -1, -1, 1, 0, 1, 0, -1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 1, 1, 1, -2, 4, 0, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 2, -1, -1, 1, 1, -2, -1, -1, -1, 0, 4, -1, -1, 1, -2, -1, 0, -2, 0, -1, 1, 2, 1, -1, 1, 1, 0, 1, 1, 0, -1, 1, -1, 4, 0, 0, 1, -1, 2, -1, 0, -1, 1, 1, 1, -1, -1, 1, 1, -1, -2, 0, 1, -1, -1, 0, 4, -2, 0, -1, 1, 0, 1, -1, 1, 0, -1, -1, 1, -1, 0, 0, 0, -2, 0, 0, 1, 0, -2, 4, 1, 1, 0, -1, 0, 0, 0, 2, 0, -1, -1, 1, -1, 0, 0, 0, 1, 0, -2, 1, 0, 1, 4, 0, 0, 0, 0, 1, -1, -1, -1, -1, 0, 1, 1, -1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 4, -1, 1, -1, 1, 0, -1, 0, 1, -2, 0, 0, 0, 1, 0, -1, 1, 0, 2, 1, 0, 0, -1, 4, -2, 1, -1, 2, 2, 1, -1, 0, 1, 0, 0, -2, 1, 1, 0, -2, -1, 0, -1, 0, 1, -2, 4, 0, 1, -2, -3, 0, 1, -1, -2, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, -1, 1, 0, 4, -1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 2, 0, 1, -1, -1, -1, 0, 1, 1, -1, 1, -1, 4, -2, -1, 0, 1, -1, 1, 1, -1, 1, -1, 0, 0, 1, 1, 1, 0, -1, 0, 2, -2, 0, -2, 4, 1, 1, -1, 0, 0, 0, 1, 0, -2, -1, -1, 2, 1, 0, 2, -1, -1, 2, -3, 0, -1, 1, 6, -1, -1, 0, 2, -1, 0, 0, 1, -1, 2, 1, 1, -1, 0, -1, 0, 1, 0, 0, 0, 1, -1, 4, 0, -1, 0, 1, 0, 0, 1, 0, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 0, 4, 0, -1, -1, 1, 1, 0, 0, -1, 1, -1, 1, -1, 0, -2, 0, -1, 0, -1, 0, 0, -1, 0, 4, 0, 0, 1, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, 1, -2, -1, 1, 0, 2, 0, -1, 0, 4, 1, -1, 0, 1, 0, 1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, 1, 4, 0, 0, -1, 1, -2, 1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, -1, 0, 4, 0, 0, 1, -1, 1, -2, 0, 0, -1, 1, -2, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, 1, -2, -1, 0, 1, -1, 1, -2, -1, 0, -1, 0, -1, -1, 1, -2, 0, -2, 6, 2, -2, 1, -2, 1, 0, -2, -1, -2, -1, 1, -1, -1, 0, -1, 1, 2, -1, 1, -2, 0, 2, 4, -1, 0, 0, 0, 1, -2, -1, -1, 1, -1, 0, 0, 1, -1, -1, 2, 1, 0, -2, 1, -2, -1, 4, -1, 2, 0, 1, 0, 2, 1, 1, -1, 1, 1, -1, 2, -1, -1, 1, 1, 1, -2, 1, 0, -1, 4, -2, 2, 1, 0, -1, -1, 0, 2, 1, -1, 0, -1, 1, 0, -1, 2, 0, 1, -2, 0, 2, -2, 4, -1, 1, 0, 2, 2, 0, -1, 1, 2, 0, 2, -2, 0, 2, -1, 0, -2, 1, 0, 0, 2, -1, 4, 0, 1, 0, 1, 1, 1, 2, 0, -1, -1, 0, 0, 0, 3, -1, -1, 0, 1, 1, 1, 1, 0, 4, -2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, -2, -2, 0, 0, 0, 1, -2, 4, 0, 1, 0, 0, 1, 1, 0, -1, 0, -2, 0, 0, 1, 1, -1, -1, 2, -1, 2, 0, 0, 0, 4, 2, 1, 0, 1, 0, -1, 1, -2, -1, 2, -1, 1, -1, -2, -1, 1, -1, 2, 1, 0, 1, 2, 6, 1, 1, 2, 0, 1, 0, -2, 0, 2, 1, 1, 1, -1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 4, -1, 1, -1, 0, -1, -2, -1, 1, 1, 0, -2, 1, -1, -1, 2, -1, 1, 0, 0, 0, 1, -1, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 4, 0, 0, 0, -1, -1, 1, 2, 0, 0, -1, 0, 1, -1, 2, 0, 0, 1, 0, 0, -1, 0, 0, 4, -1, 1, -1, 1, 1, -1, 0, -1, 0, 1, -1, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, -1, 2, -1, 1, -1, 1, 0, -1, 0, 0, 1, 0, 4, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, -2, 0, 0, 0, -2, -2, -2, 0, -1, -1, 0, 0, 4, 0, -2, 1, 0, -1, 2, 2, -1, 0, 0, 0, 1, -2, -1, 0, -1, 1, -1, 1, 0, 0, 0, 4, 0, 0, -1, 1, -1, 1, 1, -1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, -2, 0, 4, 0, 0, -2, 1, 0, 1, 2, -1, 3, 1, 0, -1, 1, 1, 1, 2, -1, 0, 0, 1, 0, 0, 6, -1, 0, -2, -2, 1, 0, 0, -1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 0, 1, 1, 2, -2, -1, 0, -1, 1, 1, -1, 1, 2, -1, 2, 2, 0, 1, 1, 4, 2, -1, -1, -1, 2, 1, -2, -1, 1, 1, 1, 0, -2, 0, 0, -2, 0, 2, 1, 1, 2, 2, 4, -2, -1, -1, 1, 2, -2, -1, 0, 1, 2, 0, -1, 1, 0, -2, 1, 2, 0, 1, -1, -1, -2, 4, -1, 0, 0, 0, 2, 1, 1, 0, -1, 1, 0, 1, -1, 0, -1, -2, 1, -1, 0, -1, -1, -1, 4, 0, -2, -1, 0, -1, 0, 0, -1, 1, 1, -2, 1, 2, 0, 0, 0, 1, 1, -1, -1, 0, 0, 4, 0, 0, -1, 0, -1, -2, 0, 0, 1, 1, 1, 1, 0, -1, -1, 1, 1, 2, 1, 0, -2, 0, 4, 2, -2, 0, 0, 0, 0, 0, -2, 1, 0, -2, 1, 0, 0, 0, 2, 1, 2, 0, -1, 0, 2, 4, -1, 0, 0, 0, 0, 0, -1, 2, 0, -1, 2, 0, 0, 0, -2, -2, -2, 2, 0, -1, -2, -1, 6, 0, 0, 1, 0, 0, 2, 0, -2, 1, 0, -1, 0, -1, -1, -1, -1, 1, -1, 0, 0, 0, 0, 4, -1, -1, -1, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 4, 0, -1, 1, -2, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, 0, 0, -2, 0, 0, 1, -1, 0, 4, 0, -1, 0, 0, -2, -1, -1, -1, 0, 0, 1, 1, 2, -1, -1, 0, 0, 0, 0, -1, -1, 0, 4, 0, 1, 0, 0, -1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 4, -1, 0, 1, 0, 0, 1, 1, 1, -1, -2, -1, 0, 1, 1, -2, -1, 2, 0, -2, 0, 1, -1, 4, -1, -1, 1, 0, -1, -1, 1, 1, 0, 1, 1, -2, 1, 1, 2, 0, 0, 0, 0, 0, 0, -1, 4, 0, -1, 0, -1, 0, 0, 2, 0, 0, -1, 1, 1, 0, 0, -2, 1, 0, -2, 0, 1, -1, 0, 4, 1, 1, 2, 0, 1, -1, -2, -2, 0, 2, 1, -2, -1, 1, 1, 0, -1, -1, 0, 1, -1, 1, 4, 0, 0, 0, 0, 2, 0, 1, -1, 0, 0, 1, 2, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 4, 1, -1, 0, 2, 2, 2, -2, 0, -1, 0, 0, -1, 0, 1, -1, 2, 1, -1, -1, 2, 0, 1, 6, 1, 1, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 1, 0, 1, 1, -1, 0, 0, 0, -1, 1, 4, 0, 1, 1, 1, -1, 1, 1, 0, 0, -1, -1, -1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -2, 1, -2, -1, -2, -1, -2, -1, -1, -1, 1, -1, 0, -1, 0, -2, 0, 0, 0, 2, 4, 2, -1, -1, -2, 0, -2, -1, -2, -2, -2, -1, 2, 0, -1, 0, 0, 0, 0, -1, 1, 2, 2, 6, -1, 2, -2, -2, 0, 1, -2, -3, -3, 1, -1, 0, -2, -2, 1, 0, -1, 1, 2, -2, -1, -1, 6, -3, 1, 1, 2, -2, 1, 0, 0, 0, 1, 1, 1, -2, 2, 3, -2, 1, 0, 1, -1, 2, -3, 6, 1, -2, -1, 1, 1, 0, 0, 0, -2, -2, -2, 1, -1, -3, 1, 1, 0, -2, -2, -2, 1, 1, 4, 1, 1, 1, 2, 1, 2, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -2, 1, -2, 1, 4, 0, -1, 1, 0, 0, 1, 2, -1, 1, 1, 1, 2, -1, -2, 0, -2, -2, 0, 2, -1, 1, 0, 6, 3, 1, 1, 1, 0, -3, 1, 0, -1, 2, 1, -2, 2, 2, -1, -1, 1, -2, 1, 1, -1, 3, 6, 0, 1, 0, 1, -4, 1, 0, 0, 0, 0, 0, 1, 1, -2, -2, -2, 1, 1, 2, 1, 1, 0, 4, 2, 1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, -1, -2, -3, 0, 0, 1, 0, 1, 1, 2, 4, 2, -1, -1, 0, 1, 1, -1, -1, 1, 0, -1, -1, -2, -3, 0, 0, 2, 0, 1, 0, 1, 2, 4, -1, -1, 0, 1, 1, -1, -1, 1, 0, -1, -1, -1, 1, 0, 0, 0, 1, 0, 1, 0, -1, -1, 4, -1, 0, 0, -1, 0, 2, 0, -1, 0, 1, 2, -1, 1, -2, -1, 2, -3, -4, -1, -1, -1, -1, 6, -1, 0, 1, 1, 1, -1, -2, -1, -1, 0, 0, 1, -2, -1, -1, 1, 1, -1, 0, 0, 0, -1, 4, 1, -1, -1, 0, 0, 1, 0, 0, -1, -2, 1, -2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 4, 0, 0, 0, 0, 0, -1, -1, 0, -2, -2, 1, 1, 1, -1, 0, 1, 1, 1, -1, 1, -1, 0, 4, -1, -1, 1, -1, 0, 0, 0, 1, 2, -1, 0, 1, 2, 0, 0, -1, -1, 0, 1, -1, 0, -1, 4, 2, -2, 1, 1, -2, 0, 0, 3, -3, 1, 2, 1, 0, 1, -1, -1, 2, 1, 0, 0, -1, 2, 6, -2, -1, 1, 0, 0, -1, -2, 1, 0, -1, -2, 0, 0, 1, 1, 0, -1, 0, 0, 1, -2, -2, 4, 0, -1, 0, -1, 1, 1, 1, 0, -2, 2, 1, 0, 0, 0, -1, -2, 1, 0, -1, 1, -1, 0, 4, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, -1, -1, 0, -1, 0, -1, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -2, -1, -1, 1, 1, 2, -2, 1, 1, 1, 2, -1, 1, -2, 2, 1, -2, 1, -1, -1, 4, -2, -1, 2, -1, -2, 1, -2, -1, 0, 1, -1, -1, 1, -2, 0, 1, 0, -1, -1, 1, 1, -2, 4, 0, -2, 1, 0, -1, 0, 0, 1, -1, 2, 1, -1, 2, 0, 1, 0, -1, 2, 0, -2, -1, 0, 4, -1, 2, 0, -2, -1, 1, -1, -1, -1, -1, 1, 1, 1, -2, -1, 2, 0, 1, -1, 2, -2, -1, 4, -2, 0, 0, 0, 1, 0, 1, 0, -1, 1, -2, 1, -1, 0, 1, -2, 0, -1, -1, 1, 2, -2, 4, 0, 0, 0, 1, 0, -2, 0, -1, 1, 1, 1, -1, 0, 1, 1, 0, 1, -2, 0, 0, 0, 0, 4, 1, 3, 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -2, 0, 0, 1, 4, 1, 0, 0, 0, -1, 0, 0, -1, -1, 2, 0, -2, 0, 0, 2, -2, 0, -1, 0, 0, 3, 1, 6, 1, -1, -1, 1, 0, 1, 1, 1, -1, 2, 1, 0, 0, -2, -1, 0, 1, 1, 1, 1, 0, 1, 6, 1, -1, 1, -1, 0, -1, 2, -1, 1, 1, -2, 0, 1, 0, 1, -1, 0, 0, -1, 0, -1, 1, 4, 0, 2, 1, -1, -1, -1, 1, 1, -1, 0, -1, 1, 1, -1, -1, 1, -2, -1, 0, -1, -1, 0, 4, -1, 1, -1, -1, -1, 0, -1, 0, -1, -1, 1, -1, 2, -1, 0, 0, 0, -1, 1, 1, 2, -1, 4, 0, -1, 0, 1, 0, 1, 0, 0, 0, 2, -1, 1, -1, -1, -1, 0, 0, 0, -1, 1, 1, 0, 4, -1, 0, -1, 2, 0, -2, 0, -2, -1, 1, -1, 1, 1, 1, 0, 0, 1, 0, -1, -1, -1, -1, 4, 0, 1, -2, 0, 1, 0, 1, 1, -2, 2, 1, -2, 1, 1, -1, 1, -1, -1, -1, 0, 0, 0, 4, 0, 0, 0, 0, 2, 1, -2, 0, 0, 1, 1, 1, 0, -1, 1, 2, -1, -1, 1, -1, 1, 0, 4, -2, 0, 2, -1, 1, 2, 1, 1, -2, -1, -1, 0, 2, -1, -1, 1, 0, 0, 2, -2, 0, -2, 6, 1, -4, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 2, 1, 1, -1, 1, 0, 0, 0, 0, 1, 4, -1, 0, 0, -2, -1, -1, 2, 1, 1, 0, -2, 1, 1, -1, 0, 0, -2, 1, 0, 2, -4, -1, 6, 0, 0, 1, -1, 2, 0, -2, 1, 0, 0, 0, -2, 0, -1, 0, 0, 0, 2, -1, 1, 0, 0, 4, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, 1, -2, -2, -1, 0, 0, 1, 1, -1, 0, -1, 1, 0, -2, -2, 2, -2, 4, 1, -1, 2, 1, 0, 2, 1, -1, 1, 1, 0, -1, 0, -1, 0, -1, 0, 2, 0, 0, 0, 1, 4, 1, 1, 2, 2, 1, -1, 1, 0, 1, 1, 1, -1, -1, -1, 1, 1, 1, -2, -1, 1, -1, 1, 4, -1, 1, 2, -1, -2, 2, -1, 1, 1, 2, -1, -1, 1, 2, 1, -1, 0, 1, -2, 2, 1, -1, 4, 2, -1, 2, 1, 1, 0, 0, -1, -1, 1, -1, 0, -1, 1, 2, 0, 0, -1, 1, 2, 1, 2, 4, 1, 1, -1, 2, 0, 0, 1, 1, -1, -2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, -1, 1, 4, -1, -2, 0, -1, 1, 1, 2, -2, 0, 0, 2, 0, 0, -2, 0, -2, 2, 1, -1, 2, 1, -1, 4, 1, 1, 0, 0, 0, -2, 1, 0, 0, -1, 0, 2, 0, 0, -2, 1, -1, -2, 1, -1, -2, 1, 4, -1, 0, -1, -1, -2, 1, 0, 0, -1, -1, 0, 2, -2, -1, -1, 1, 2, 1, 2, 0, 1, -1, 6, 0, -1, 1, 1, 0, 0, 2, 1, 2, 0, 2, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, -1, -1, 0, 4, 1, 0, -1, -1, 1, -1, 1, 1, -1, 1, 1, 0, 1, 1, -1, 1, 1, 0, -1, 1, 1, 1, 4, 0, -1, -1, 1, 0, 2, 0, 0, 1, 1, -1, 1, 2, -1, 1, 2, -2, -2, 1, 0, 0, 0, 4, -2, 0, 0, 2, 0, -1, 0, 0, -1, 0, -1, -1, 1, -1, -2, 1, 1, 0, -1, -1, -1, -2, 4, 0, -1, -2, 0, 1, 0, 0, 0, -1, -1, -1, -1, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 4, 1, 0, -2, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, -1, 1, 4, 0, 1, 0, 2, 1, 1, -1, 1, 2, -1, 1, 2, -1, -1, 1, 0, -1, 0, 2, -2, 0, 0, 4, 0, -1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, -1, 2, 1, 1, 2, 0, 0, -2, 1, 0, 4, 0, 0, 1, -2, 2, 1, -1, 2, 1, 0, 2, 0, 0, 0, 1, 0, -1, 1, 0, 0, -1, 0, 4, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 6, -2, 2, 0, -1, 1, 0, 0, 0, 0, -2, -1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 1, 2, 2, 0, -1, 1, 2, 1, 2, 0, 2, 1, -2, -1, -1, 2, 1, 1, 2, 0, 4, -1, -1, 2, 1, 0, -1, 0, 1, 0, -1, 1, -2, 1, -2, -1, 2, -1, 2, 0, -1, 0, -1, 4, 2, 0, 0, -1, -1, 1, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 1, 1, -1, 2, 4, -1, 0, -1, 0, 0, 0, -1, 1, 1, -1, 0, 1, -1, -1, 0, 0, 1, 2, 2, 2, 0, -1, 6, 2, -1, -1, 2, 2, 2, 1, 1, 1, 0, -4, 1, 0, 1, 2, -1, 0, 2, 1, 0, 0, 2, 4, -1, 0, 1, 2, 0, 1, 0, 1, 1, -2, -1, -1, 2, 2, 1, 0, 0, 0, -1, -1, -1, -1, 4, -1, -2, 1, -1, 0, -1, -1, -1, -1, 1, 0, 1, 0, 0, 0, -1, -1, -1, 0, -1, 0, -1, 4, 1, -2, 0, 1, -1, 0, -1, 2, 1, 0, 1, -1, 0, -1, 1, 0, 1, 0, 2, 1, -2, 1, 4, 0, 1, 1, -1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, -2, 0, 4, 0, 1, 0, 0, 0, -2, -1, -1, 1, 2, 1, 0, 1, 0, -1, -1, 2, 0, -1, 0, 1, 0, 4, 0, 1, 2, 0, -1, 1, 1, 1, -1, -1, 0, 2, -1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 4, -1, 1, -1, 0, 0, -2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, -1, -1, -1, 0, 1, -1, 4, -1, 1, -1, 0, 0, 0, 1, -1, 1, 2, -2, -1, -1, 1, 1, -1, 0, 1, 0, 2, 1, -1, 6, 0, 0, 0, -1, 1, -1, 0, 1, 1, 1, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, 1, 0, 4, -1, -2, 0, 1, 1, 0, 1, -2, -2, 0, 1, -4, -2, -1, 2, 0, -2, -1, 0, -1, 0, -1, 6, 0, 0, -2, -2, 1, 0, -1, -1, 0, -1, 1, -1, 1, 1, 0, -1, 1, 0, 0, 0, -2, 0, 4, 0, 1, -1, -1, 0, -1, 2, -1, -1, 0, -1, 0, 0, 0, -1, 1, -2, 0, -1, 0, 0, 0, 4, -1, 0, 0, -1, 2, -1, -1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, -2, 1, -1, 6, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, -1, 0, 2, -1, 0, 1, -1, 1, -2, -1, 0, 0, 4, 1, 0, 1, 0, 1, 1, -1, 1, 0, 0, 1, 1, -1, 1, -1, 0, 0, 1, -1, 0, 0, 1, 4, 0, 2, -1, 1, 2, 0, 0, 0, -1, 0, 0, 0, 1, 1, 1, 1, 0, 0, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, -2, 1, -1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, -2, -2, 4, 1, -1, 2, 1, 1, 0, -1, 1, 0, -1, -1, -1, -1, 0, -1, 0, 0, -1, 1, 2, 0, 1, 4, 1, 1, 2, 0, 2, 1, 0, -1, 0, -1, 0, -2, 1, 0, 0, -1, 1, 2, -1, 1, -1, 1, 4, -1, 1, -2, 2, 2, -1, -1, 0, -1, 2, 0, 1, 0, -1, -1, 0, 1, -2, -2, 2, 1, -1, 4, 2, 2, 1, -1, 0, -1, -2, -1, -2, -2, -1, -2, -1, 1, 0, 1, 1, -1, 1, 2, 1, 2, 4, 1, 2, 1, 0, -2, -1, -2, -1, -1, 1, -1, -2, -1, 0, 2, -1, -2, 1, 0, -2, 2, 1, 4, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, -1, 0, 0, -1, 2, 1, 0, 2, 2, 1, 2, 0, 4, 0, -1, -2, -1, -1, 0, -1, 0, 0, -1, 0, 1, 2, -2, -1, -1, 1, 2, -1, 1, 0, 0, 6, 0, 0, 0, -2, 0, 0, 2, -1, -1, -2, 1, -2, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 4, -1, 1, 0, 0, 1, 1, 1, 2, -1, 1, 0, 2, 0, 0, -1, -1, -1, -2, 0, -2, 0, -1, 4, 0, 0, 1, 1, -1, 0, 1, 1, 0, -2, 0, 2, -1, 0, 0, -2, -1, -2, -1, 0, 1, 0, 4, 0, 1, 1, 1, 2, 1, -1, 0, 1, 0, 1, -1, -1, -1, -1, -2, 0, -1, -2, 0, 0, 0, 4, 0, 0, -1, 0, 2, 1, 0, -1, 0, 2, -1, 0, 2, -2, -1, -2, 0, 0, 0, 1, 1, 0, 4, 1, 0, 1, 1, -1, 0, 1, -1, 1, -1, -2, 0, -2, -1, 0, -1, 0, 1, 1, 1, 0, 1, 4, 1, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 2, 1, -1, 1, -1, 0, 1, 4, 0, 0, -2, 0, 1, 1, 2, -1, 0, 0, -2, -1, -2, 0, -1, 1, 0, 2, 0, 1, 1, 0, 4, 1, 0, 1, 1, -1, 2, 0, 0, -1, -1, -2, -1, -1, -1, 2, 1, 1, 2, 1, 0, 0, 1, 6, 1, 2, -1, 0, 0, 0, -1, -1, 1, -1, 0, 0, -2, -1, 1, -1, 1, -1, 0, -2, 0, 1, 4, 0, -1, -1, 1, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 4, 0, -1, 1, 1, 2, 1, 1, 2, -1, 2, -2, 0, -2, 1, -1, 1, -1, 1, 1, -1, -1, 0, 6, -1, -2, 2, -1, -2, 1, -1, 2, -2, 0, 2, 0, 0, 0, -1, 0, 1, -1, 0, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 2, 2, 0, 1, 2, 2, -2, 1, 2, 1, 0, 0, -2, 2, -2, 2, 1, -2, 4, -2, 0, -1, 0, 0, 0, 1, 0, -2, 2, -1, 0, 1, 1, -1, 2, -1, 1, 0, 0, 2, -2, 4, -1, 2, 0, 1, 1, -1, 2, 2, -2, 1, 0, 0, -1, 1, -2, 2, -1, 1, 1, -1, 0, -1, 4, 1, -2, -2, -2, -1, -2, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -2, 1, 1, -1, 2, 1, 4, 0, -1, -1, -2, 1, 1, -1, 2, 0, 0, 1, -1, -1, 1, -2, -1, 2, 2, 0, 0, -2, 0, 4, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, -1, 1, -1, 2, 0, 2, 0, 1, -2, -1, 2, 4, 2, 2, 2, 0, -1, 0, 2, 1, -1, 0, -1, 2, -1, 2, 0, 0, 0, 1, -2, -1, 1, 2, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, 1, -1, -1, -2, 2, 2, 0, 6, 2, 0, 0, -1, 2, 0, 1, -1, 1, 1, -1, 3, -1, 2, 0, 2, -2, 1, 1, 2, 0, 2, 6, 1, -2, 1, 2, 2, -1, 0, -1, 2, 0, 1, 0, 2, -2, 2, 1, 1, 0, 0, 0, 0, 1, 6, -2, 1, 1, 1, -1, 2, -2, 1, -2, -1, 2, -2, 2, -2, -1, -1, 1, -1, 0, 0, -2, -2, 6, -1, 0, 1, 1, 0, 2, -1, 2, -1, -1, 1, -1, 1, 1, 2, 0, 0, 0, -1, 1, 1, -1, 4, 1, 0, 0, 0, 0, 1, -2, -1, 1, 2, 0, 0, -1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 4, 2, 0, 0, -1, 2, -1, 1, 1, 1, 1, 0, -1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 4, -1, 0, -1, 1, 1, -1, 1, 0, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 0, 0, -1, 4, -1, 1, -1, -1, 1, 1, 0, -1, 1, -1, -1, 0, 0, 1, -1, 0, 2, 0, 0, 0, 0, -1, 4, -1, 0, 1, 0, 0, -2, 2, -2, 1, -1, -1, -1, -1, 1, -1, -2, 2, 0, -1, -1, 1, -1, 4, -1, 1, 0, -1, 2, -1, 2, -1, 1, 1, 2, 0, 1, 2, 1, -1, 1, 2, 1, -1, 0, -1, 4, -2, 1, 1, -2, 1, -1, -1, -2, -1, -1, 0, -1, 0, -2, 2, -2, -1, 1, -1, 1, 1, -2, 6, 0, -2, 2, 0, 1, -2, -1, 2, 2, 1, 3, 1, -1, -1, -1, 1, -1, 1, 0, 0, 1, 0, 6, -1, 1, 0, 1, 1, 2, 0, 0, 0, -1, 0, 2, -1, 1, 1, 1, 1, 0, -1, 1, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 2, 1, -2, 1, 0, -1, -2, -2, 0, -1, -2, -1, 1, 2, 0, 0, 1, 1, 1, 4, 1, 0, 0, 0, 0, 0, 1, -2, 0, -1, 1, -2, 0, 1, -1, 0, -1, 1, 2, 0, -1, 1, 4, -1, -2, -1, 1, -2, -1, 1, 2, 0, -1, -1, 1, 0, 0, -2, -1, 0, -1, 1, 2, 0, -1, 4, 1, 0, -2, 1, -1, 1, -2, 0, 0, 1, -1, 0, 2, 2, 1, 0, -1, 1, 2, 0, -2, 1, 6, 2, -1, 2, -1, -3, -1, -2, -1, -2, -2, 1, 0, 1, 2, 2, -1, 0, 1, 0, -1, 0, 2, 4, -1, 2, -1, 0, -1, -1, 0, -2, -1, 0, 0, 1, -1, 0, -1, 0, -2, 0, 1, -2, -1, -1, 4, -2, 0, -1, 2, 0, 0, -1, 2, 1, -2, -2, 0, 0, 0, -1, 1, 0, -2, 1, 2, 2, -2, 4, 0, -1, -1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, -1, 0, 1, -1, -1, -1, -1, 0, 0, 4, -2, 0, 0, 2, 1, 1, 0, -1, 0, -1, -1, 2, 0, -1, -2, 1, 1, -3, 0, -1, -1, -2, 6, -1, 2, 0, 2, 0, -1, 2, 0, 0, -1, -2, 1, -2, 0, 2, -2, -1, -1, 2, -1, 0, -1, 4, 1, -1, -1, 1, 1, -1, -2, -1, 0, 0, 0, -2, -1, 0, 0, -2, -1, 0, 0, 0, 2, 1, 4, 1, 2, 1, 0, 0, 0, 0, -1, -1, -1, 0, 1, -1, 0, -1, 0, 0, 0, 2, 0, -1, 1, 4, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, -2, -1, 1, -2, -2, -1, -1, 1, 2, -1, 2, 0, 6, 1, -2, 1, 1, 1, -1, -1, 0, -2, 0, 1, -1, -2, -1, 2, -1, 1, 0, 1, 1, 1, 1, 4, 0, 0, -2, 0, -1, -1, 0, -1, 1, 0, 0, 1, 0, 1, 1, 0, -1, 1, 0, 0, -2, 0, 4, 0, -1, 0, 1, 0, 0, 1, -1, 0, 2, 0, 0, -2, 1, -1, 2, -1, 0, 0, 1, 0, 0, 4, 0, 1, 0, -1, 2, 2, 0, -2, 2, 1, 1, -2, 1, 0, 0, -2, 0, 0, 1, -2, -1, 0, 4, 0, 0, 1, 0, 0, -1, -1, 1, 2, -1, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 4, 1, -1, 0, 0, 1, 0, 0, 2, 0, 0, 0, -1, -1, 0, -1, 0, -1, -1, 1, 0, 0, 1, 4, 1, 0, 1, 2, -1, -1, -1, -1, 0, 0, 2, -2, 0, -1, 1, -1, -1, 0, -1, 1, -1, 1, 6, -1, 1, 0, 1, 1, 0, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, -2, -2, -1, -2, -1, -1, 0, 0, 0, 1, 0, 2, 1, 0, -1, -1, 0, 2, 4, -2, -1, -1, 0, -2, -2, -2, 0, -1, -1, 1, 1, 2, -1, 1, 1, -1, 1, 1, 0, -2, -2, 4, 1, 2, 1, 2, 1, 2, 0, 1, 0, -1, -1, 0, 0, -2, -1, 0, 0, 0, 1, 0, -1, 1, 4, 2, 1, -1, 2, 1, 1, 2, 0, -2, 1, 0, -1, 0, 1, -1, -1, -2, 2, -1, -1, 2, 2, 4, 2, 1, 2, 1, 0, 2, 0, -2, 1, 0, 0, -1, 1, 0, 0, 0, 2, -2, 0, 1, 1, 2, 4, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, -1, 1, -1, 1, 0, 1, -2, -2, 2, -1, 1, 1, 6, 2, 2, 1, 1, 2, -1, 1, -1, 2, -1, -1, 2, 1, -1, 0, -1, -2, 1, 2, 2, 0, 2, 6, 1, 1, 2, 2, -1, 2, 0, 0, 1, 1, 2, -1, -2, 2, -2, -2, 2, 1, 1, 1, 2, 1, 4, 0, 1, 1, -2, -1, -1, 0, -2, -1, -1, 1, 0, 1, -1, 0, 0, 1, 0, 1, 1, 1, 0, 4, 2, 0, 1, 1, 1, -1, 0, 1, 0, 1, -2, 0, -1, -1, 1, 2, 2, 2, 1, 2, 1, 2, 4, 0, 0, 2, 0, 0, -1, 2, 0, 0, -2, 2, 0, -1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 4, -1, 1, -1, 0, 1, 0, 1, -1, -2, 0, 0, 1, -1, -2, -2, 0, -1, -1, -2, 1, 0, -1, 6, 1, 2, -1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 1, 1, 2, 1, 2, -1, 1, 2, 1, 1, 6, 1, 0, 1, 1, 1, 0, -1, 2, 1, 2, 0, 0, 0, 0, -1, 0, -1, 1, 0, -1, 2, 1, 4, -2, 0, 0, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, 2, 0, 0, -1, 0, 0, -1, 0, -2, 4, 1, 0, 1, 0, 0, 0, 2, 1, -2, 0, -1, -1, -1, 1, -2, 0, -1, 1, 0, 1, 0, 1, 4, 1, 1, -1, -1, 0, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 2, 0, 0, 1, 0, 0, 1, 4, 0, 0, -1, 1, 0, -1, 0, -1, 0, -1, 2, 2, -1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 4, -1, -1, 0, -1, 1, 0, -1, 0, 1, 1, -1, 1, 1, 0, -1, 0, 0, 1, 0, -1, 0, -1, 4, 2, 0, -1, 1, 0, -2, 0, 0, -1, -2, 0, -2, -2, -2, 1, -1, 0, 0, -1, -1, -1, 2, 6, -1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, -1, 2, 1, 0, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, -1, -1, 2, -1, 1, 0, -2, 0, 0, 2, 1, 0, 0, 0, -1, 1, 0, 0, 2, -2, 4, 1, 2, 1, -2, 2, -1, 1, 2, 0, 1, -1, 0, 1, 1, -1, 2, -1, 0, 0, -1, -1, 1, 4, -1, 2, -1, 2, 0, 0, -1, 1, 2, -1, 0, 1, -1, -1, -1, 1, 0, -1, 0, -1, 2, -1, 4, -1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, -1, 1, 0, 0, -1, 1, 2, -1, 4, -2, 1, -1, -1, 0, -1, 1, -1, 0, -1, -1, -1, -1, -1, 0, 1, 0, 2, -2, -1, 0, -2, 4, -2, 1, 0, -2, 0, -1, 1, 0, 0, 1, 1, -1, 1, 1, -1, 1, -1, 2, 2, 0, 1, -2, 4, -1, 0, 0, 1, 1, 0, 1, 1, 0, -2, 1, 1, 0, 0, -1, 1, -1, 0, 0, -1, 1, -1, 4, 0, -2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 4, 1, 0, 0, 1, 0, 1, 1, 1, 0, -1, 0, -1, 0, -2, 2, -1, 2, 0, -2, 0, -2, 1, 6, -1, 0, 0, -1, -1, 0, 2, 2, -2, 0, 0, -1, 0, 0, 1, 0, -1, 0, 1, 1, 0, -1, 4, 0, -1, 1, 0, 0, 0, 1, 2, 1, -1, -1, 0, 1, 2, 0, 1, -1, 1, 1, 0, 0, 0, 4, -1, -1, 1, 0, -1, 0, 0, -1, -1, 0, 2, -1, -1, 0, -1, 1, 0, 0, 1, 0, -1, -1, 4, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, -1, 1, 4, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, -1, 0, 1, 1, 1, -1, 0, 1, 1, 0, 4, 0, -1, 0, 1, 0, -1, 1, 0, 1, -1, 2, -1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 4, 1, 1, -1, 1, 0, 0, 0, -1, -1, 1, -1, 1, -2, 0, 1, 2, 0, -1, 1, 0, -1, 1, 4, 0, -1, 1, 0, 1, -1, 2, -1, 2, -1, -1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 4, 0, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -2, 2, 0, 0, 0, 1, -1, -1, 0, 4, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, -1, 1, 1, 0, 1, 1, 1, 0, 4, 1, 0, 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, -1, -1, 1, 1, -1, 0, 0, 1, -1, 1, 4, 0, 2, -1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 2, 1, 1, 0, 1, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -2, -1, 2, -1, 2, 0, -1, 1, 1, 2, 2, -1, 2, 0, 0, -1, 0, -2, 4, -1, 1, -2, 1, -1, -2, 2, -2, 1, 0, -1, 0, -2, -2, 0, 0, -1, 1, 1, -1, 0, -1, 4, 0, 1, 1, 2, 1, 1, -1, 0, 0, 1, 0, 0, -1, 1, 1, 0, 0, -1, 1, 0, 1, 0, 4, -1, 0, 0, -1, 1, -2, 2, 1, 0, 1, 0, 0, 1, 2, -2, 2, 0, -1, 1, -2, 1, -1, 4, -1, 1, 2, 0, 0, 0, -1, 2, 1, 2, 1, 1, -1, 0, -1, -1, 2, -2, 1, 1, 0, -1, 4, 2, -2, 0, -2, 0, 0, -1, 0, -2, -2, 0, 0, 0, 0, 0, -1, -1, -1, 2, 0, 1, 2, 4, -1, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 2, -2, 1, -1, 2, -2, -1, 4, 0, 2, -1, -1, 1, 0, 2, 1, 0, 0, 1, -1, -1, 1, -1, 2, 1, 1, 0, 0, 0, 0, 4, -2, 1, -1, 0, 1, 0, -1, 1, 1, 0, 0, 0, 1, 2, -2, -1, -2, 0, -2, -1, 2, -2, 6, -1, -1, 1, 0, 1, 2, -2, -1, 1, -1, -1, 1, 0, 1, 0, 2, 0, 0, 0, -1, 1, -1, 4, 1, 1, 2, 1, 0, 0, 2, -1, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, -1, -1, -1, 1, 4, -1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 1, -1, 1, 0, 2, -1, 1, 1, 0, 1, 1, -1, 4, 0, 1, 1, 0, 1, -1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 4, 1, 0, 0, 1, 0, 0, -1, 0, 2, -2, 0, 0, 2, -2, -1, 2, 0, 1, 1, 0, 1, 1, 4, 2, 0, 1, 0, -1, -1, 1, 2, -2, -1, 0, 1, -2, -1, 1, -1, 2, 0, -1, 1, 0, 2, 4, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 4, -1, 0, 0, -1, 0, 2, 0, 1, 2, -1, 0, 0, 0, 1, -1, 2, 0, 1, 1, 1, 0, -1, 6, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 1, 0, 1, -1, 0, -1, 0, 0, 0, 0, -1, 4, -2, 0, 0, 0, 1, 0, 2, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, -2, 4, 1, -1, -1, 1, -1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 1, 4, -1, 0, -1, 1, -1, 2, -1, 1, 1, 1, 1, 0, -1, 2, 0, 1, 1, 0, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 2, -1, -1, 1, -1, 0, -2, 1, -1, -2, -1, 0, -1, 2, -1, 0, 0, 1, -2, 4, -2, -2, -1, 0, 2, -1, 0, 1, 2, -1, 1, 1, 0, -1, 0, -1, -1, 1, 1, 0, 2, -2, 4, 2, 2, 1, -2, 2, 0, -1, -2, 2, 0, 0, 0, 1, -1, 0, 1, 0, -1, 1, 1, -2, 2, 4, 1, 0, -2, 0, 0, 0, -1, 1, -1, 0, -1, 2, 1, 0, 1, 0, 0, 0, 2, -1, 2, 1, 4, 1, -2, 2, -1, -1, -1, 2, -1, 0, 0, 0, -2, 0, -1, 0, -1, 1, -1, 0, 1, 0, 1, 4, -2, 2, 1, -1, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 1, -1, 2, -2, -2, -2, -2, 6, 0, -1, 1, 2, -1, 2, 2, -1, 0, 1, 0, -1, 1, 1, -2, 1, -1, 2, 0, 2, 2, 0, 6, 1, -2, -1, 2, 0, 2, 0, -1, 0, 1, 1, 1, -2, 1, -1, 0, 0, 0, -1, 1, -1, 1, 4, 0, 0, 1, -1, 1, 1, -1, 1, 1, 2, 0, 0, 1, 0, 1, -1, 0, -1, -1, 1, -2, 0, 4, 0, -1, -1, 0, -2, 0, 1, 1, 0, 1, 1, -1, -2, 2, -2, -1, -1, 0, 2, -1, 0, 0, 4, -1, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1, -1, 2, 1, 2, 0, -1, 2, 1, -1, -1, 4, 0, 2, 1, 1, -1, 0, 1, 1, -1, 0, -1, 1, 0, -1, -1, 0, 2, 0, -1, -1, 0, 0, 4, 1, 1, 0, 0, -1, 0, 1, 1, 0, -2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 6, 0, 1, 1, -1, 1, 2, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, 1, -2, 0, 1, 1, 0, 4, -1, -1, -1, 1, 0, -1, 1, 0, -1, 1, 2, 0, -1, 0, -1, -1, 0, 0, 1, 0, 1, -1, 4, 1, -1, 0, 0, 0, -1, -1, 0, -1, 1, -2, -1, 1, 0, 1, 1, 0, -1, 0, 1, -1, 1, 4, 1, 1, 1, 1, 0, 2, -1, 0, 0, 0, -1, 0, 1, 1, 1, -1, 0, -1, -1, -1, -1, 1, 4, 0, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 2, 0, -1, 1, 0, 1, 1, 0, 1, 0, 4, 0, -1, 0, 0, 1, 0, 0, 0, -1, 1, 1, 0, 1, -1, 1, 1, 2, 0, 0, 1, 1, 0, 4, 1, 0, 0, 1, -1, 0, -1, -1, 1, -2, 0, 1, 0, -1, 1, 0, -1, 0, 1, 1, -1, 1, 4, 0, 1, 0, 1, 0, 1, 1, -2, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 1, 1, -2, 2, 0, 1, 2, 0, 0, -1, 1, -1, -1, 0, -1, 0, -1, -1, -1, 4, -1, 0, 0, 1, 1, -1, 0, -1, -2, 1, 1, 1, -2, 1, -1, -1, 1, 1, 1, 1, 0, -1, 4, 0, 0, -2, 1, 1, -1, 2, -1, -1, -1, -1, -1, 1, -1, 2, -1, -2, 0, -1, 2, 0, 0, 4, 2, 1, 0, 0, 0, -1, 2, 1, -1, 1, 0, -1, -2, 0, -1, 0, 0, -1, 1, 0, 0, 2, 4, -1, 0, 0, 0, 1, 1, -1, 1, 2, 0, -2, -1, 0, -2, 0, 0, 1, 1, 1, -2, 1, -1, 4, -1, -1, 1, -2, 1, 1, -1, 0, 0, 0, 0, -1, 1, 1, 0, -1, -2, 1, 1, 0, 0, -1, 4, -2, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 2, -1, 1, 0, 0, -1, -2, 4, 0, 1, 0, 0, 0, -2, 0, 1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 4, -2, -1, -1, 0, 0, 1, 0, 1, -2, 0, 2, 1, 0, 1, -1, 2, -1, 1, -2, 0, 1, -2, 6, -1, -1, 1, 0, 0, -1, 1, 2, -1, -2, -2, 1, 2, -2, -1, 2, 1, 1, -1, 0, -1, -1, 6, 0, 0, 0, 1, -2, 0, 1, 0, -1, -1, -1, 0, 1, -1, 1, -1, 1, 0, 0, -1, -1, 0, 4, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 0, -1, 4, 0, 1, -1, 1, -1, 1, 1, 0, 2, -1, 1, -1, 1, 2, 0, 1, -2, 0, 0, 0, 0, 0, 4, -1, -1, 0, 0, -1, 0, 1, 1, 1, -2, -1, 0, 0, 0, -1, 0, 1, 0, 1, -1, 1, -1, 4, -2, 1, -1, 1, 1, -1, 0, -1, 1, 1, -1, -2, 0, 0, 1, 0, -1, -2, 1, -1, -1, -2, 4, 0, 0, 0, 0, 1, 0, -1, -1, -1, -2, -1, 0, 0, -1, 1, 1, 0, -1, 1, 0, 1, 0, 4, 0, 1, 0, 0, 1, 0, -1, 2, 0, 0, -1, 0, 0, -2, 2, 1, -1, -1, 0, -1, 0, 0, 4, 0, -2, 0, -1, -1, 1, -1, -1, -2, 1, 0, -1, 0, -1, 0, 0, 1, -1, 1, 0, 1, 0, 4, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 0, 2, -2, -1, 0, 1, 0, 1, 0, 0, -2, 0, 4, 1, 1, -1, 1, 0, 0, 0, 0, 0, -1, 1, -2, -1, 0, 0, 1, -1, 1, 0, 0, 0, 1, 4, -1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 1, -1, 0, 2, 1, 0, 0, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, -1, 2, 1, -1, 0, 1, 2, 1, 1, 4, 2, -2, -1, 1, 1, 1, 1, 0, 0, 0, 1, 2, -1, 1, 2, -2, 1, 0, 1, 1, 1, 2, 4, -2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, -1, 1, 1, -2, 0, 0, 2, 1, -1, -2, -2, 4, -1, -2, 0, -1, 1, 0, 1, 1, 0, 0, 1, -2, 0, 1, -1, 1, -2, 0, 1, -1, 0, -1, 4, 0, -1, 1, -2, 1, -1, 0, 0, 0, 1, 1, -1, 0, 1, -1, 0, 1, 1, 1, 2, -2, 0, 4, 1, 1, 0, 0, -1, -1, 0, -1, 0, 2, 1, -2, -1, -1, 2, 0, 0, 1, 0, 0, -1, 1, 4, 1, 2, -1, -1, -1, 1, 1, 0, 0, 2, 0, 0, -1, -1, 1, 2, 1, 1, -1, 1, 1, 1, 4, 1, 1, -1, -1, 2, 0, 0, 1, 0, -1, 1, -1, 2, 2, 0, 1, 0, 1, -2, 0, 2, 1, 4, 0, 0, -1, 2, 1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 1, 0, 1, 0, -1, 1, 0, 4, -1, -1, 1, 0, 0, 0, 0, 0, 1, -1, 1, 1, 1, 0, 0, 1, -1, -1, -1, -1, 0, -1, 4, 1, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, -1, -1, -1, -1, -1, 1, 4, 0, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 4, 0, 0, 0, 1, -1, 1, 0, 0, 2, 2, 2, 0, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, 6, -2, 1, 2, 0, 0, 1, 0, 1, -1, -1, -1, 1, 1, 0, 0, 0, -1, 0, 0, -1, 0, -2, 4, -1, -1, -1, 1, 0, -1, 1, 2, 1, 1, -2, 1, 2, 0, 1, 0, 0, 0, -1, 0, 1, -1, 4, 1, -1, -1, 0, 2, 1, 1, 2, 1, 0, -1, 1, 2, 0, 1, 0, 0, 1, 1, 2, -1, 1, 4, -1, 0, 0, 0, 1, -1, -2, -2, 1, 0, -2, 0, -1, 0, 0, 0, 0, -1, 0, -1, -1, -1, 4, 0, 0, -1, -1, 0, 1, 0, -1, 1, -1, 0, 1, -1, 1, -1, 0, 1, 0, 1, -1, 0, 0, 4, -1, 0, 1, 1, 0, 0, 1, -1, -1, -1, -1, 0, -1, 2, 1, 0, 1, 0, 0, 0, 0, -1, 4, 1, 0, 2, 1, 2, -2, 0, 2, -1, 2, -1, 1, 0, -1, 0, 0, -1, 2, 0, -1, 0, 1, 6, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, -1, 2, 1, 1, 1, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, 0, 1, -1, 2, 0, 2, -1, -1, -1, 6, -3, 1, 2, -1, 2, -1, -1, 1, 2, -2, 1, -1, 2, 2, -1, -2, 1, 1, 2, 2, 2, -3, 6, -2, -1, 2, -1, 2, -1, -2, -1, 1, 1, 2, -1, -1, -1, 1, 1, 1, -1, -1, 0, 1, -2, 4, 0, -2, 1, 0, 1, 0, -1, 0, 0, 0, 1, 1, -1, 0, -1, 0, -1, -1, 0, 2, -1, 0, 4, -1, 2, -2, 1, 2, 1, 0, 1, -2, -1, 1, 1, 0, 1, 0, 1, 1, 0, -1, 2, -2, -1, 4, -2, 1, 0, -2, 1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -1, 1, 2, -2, 4, -2, 0, 1, 1, 0, 2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 2, 0, -2, 1, -2, 4, -1, -2, -1, 1, -1, 2, 0, -1, -2, -1, 0, 1, 0, -1, 1, -1, -1, 1, 1, 0, 0, -1, 4, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 1, -2, 0, 2, -2, 1, -2, 0, 4, 0, 0, 0, -2, -1, 1, 1, 0, -1, 0, 1, 0, -1, 2, -1, -1, 1, 1, 1, -1, 0, 0, 4, -1, 1, -1, 0, 0, 1, 0, 2, -1, 1, 1, -1, -2, 1, 0, 0, 0, 0, 1, 0, 0, -1, 4, -1, 0, -2, -1, 0, -1, -1, -1, 0, -1, 1, 1, 1, 0, 1, -1, 2, -1, 0, 0, 1, -1, 4, -1, 1, 0, 0, 0, 2, 1, 0, 1, 0, -1, 2, 0, -2, 1, -2, 2, -1, -2, -1, 0, -1, 4, 0, 0, -1, 0, -1, 0, 0, 0, 0, 2, -1, 1, -1, 0, 0, 0, -1, -1, 0, -2, 1, 0, 4, 0, -1, -1, 1, 1, -1, 1, 1, 2, -1, 1, 1, 0, 0, -1, 1, 1, 0, -1, 0, 0, 0, 4, 0, 0, -1, 1, 1, 1, -1, -1, -1, -1, 1, 0, 0, -2, 0, 1, 1, 0, 0, -1, -1, 0, 4, 1, 0, -2, 0, 1, 2, -2, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, 1, 4, 0, 0, -1, -1, 0, 1, 1, -1, 1, 1, 1, 0, 0, -1, 2, -1, 2, -1, 1, -1, 0, 0, 4, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 1, 1, -2, 0, 0, 4, 1, 0, -1, 2, -1, -1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, -1, 0, 1, 4, 1, -1, 2, -1, -1, 1, 0, 0, -1, 0, 0, 1, -1, 1, 0, 1, 1, 1, -1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 0, 0, 2, -1, 2, -1, 1, 2, -1, -1, 0, -1, -2, -1, 2, 2, 1, 2, 4, -2, 1, -1, 0, 0, 2, 0, 0, 1, 0, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1, -1, -2, 6, -3, 2, -1, 2, -1, -2, 1, 0, -2, -3, -2, -2, 2, -1, -1, 2, 1, 2, -2, 2, 1, -3, 6, -1, 2, -1, 2, 1, 1, 0, 1, 3, 1, 1, -1, 2, -1, -1, 1, -1, 1, 0, -1, 2, -1, 4, -1, 2, 0, -1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, -1, 0, 0, -1, 2, -1, 4, -2, 0, 1, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 2, -1, 2, -2, 4, 0, -2, 0, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 2, 2, -1, 2, 0, 0, 0, 4, 0, 1, 0, 1, 2, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, -2, 1, -1, 1, -2, 0, 4, 0, 0, 1, 0, 1, 2, -1, 1, 1, -1, 0, -1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 4, -1, 0, 1, -1, 0, 0, -1, -1, -1, 2, 1, 0, -1, 1, 0, 0, 1, -1, 2, 0, 0, -1, 4, 0, 0, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 0, -2, 1, 0, 0, 0, 1, 1, 0, 0, 4, 1, 1, 1, -1, 1, 0, -2, 0, 0, 0, 2, 1, -3, 3, 0, 2, -1, 2, 0, 1, 0, 1, 6, 1, 0, -1, 0, 1, -1, 1, -2, 2, -1, -1, -2, 1, 0, 0, 0, 0, 1, -1, 1, 1, 1, 4, 1, 0, 2, 2, -1, -1, -1, -1, -1, 0, -2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 4, -1, 1, 1, -1, -1, -1, 0, 0, -1, 2, -1, 2, 0, 0, 0, -1, 0, -1, -1, -1, 0, -1, 4, 1, 0, 1, 0, 2, 0, -1, -1, -1, 2, 1, 0, 0, 0, 1, -1, 1, 1, 0, 2, 1, 1, 4, 1, 0, -1, 0, 0, -2, -1, -1, -1, 1, 0, 0, -1, 1, -1, 1, 0, 1, 2, 1, 0, 1, 4, 0, -1, -1, 0, -1, 0, 2, -1, 1, 0, 0, 0, -1, -1, 1, -2, -1, -1, -1, 1, 0, 0, 4, -1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, -1, 0, 1, -1, -1, 0, -1, -1, -1, 4, 2, 0, 2, 0, 2, -1, 2, -2, 1, 0, -1, 1, -1, 0, -2, -1, -1, 2, 0, -1, 0, 2, 6, -1, 1, 1, -2, 1, -1, 1, -2, 0, 0, 0, -1, 0, 2, -1, 0, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 2, -1, -1, -2, 1, -2, 0, -2, 0, 1, -1, -1, -1, -1, 0, -1, 0, 1, -2, 0, 6, 3, 0, 2, 3, 0, 0, 1, 1, 0, 1, -2, 1, -1, 3, 3, -1, 2, 1, 1, 3, -2, 3, 6, -1, 3, 3, 1, -2, 2, -1, 2, 0, -3, 2, 0, 3, 1, 1, 1, -1, 0, 4, 2, 0, -1, 4, -1, -2, -2, 1, -2, -1, 0, -1, 0, -1, 1, 1, -1, 0, 0, 0, 0, -2, -1, 2, 3, -1, 4, 1, 0, 0, 1, 1, 0, 1, -2, 1, -1, 2, 1, 1, 0, -1, 1, 2, -1, 3, 3, -2, 1, 6, 2, -1, 3, 0, 1, 2, -1, 0, -2, 0, 2, 0, 0, 0, -1, 2, -2, 0, 1, -2, 0, 2, 4, -2, 2, 1, 2, 1, 0, 1, 0, -1, 0, 0, 0, 0, -2, 1, 1, 0, -2, 1, 0, -1, -2, 4, -1, 1, -1, 1, 0, -2, 0, -1, 0, 0, 0, 0, 1, -2, -2, 1, 2, -2, 1, 3, 2, -1, 4, 1, 1, 1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 2, 0, 1, -1, -1, 1, 0, 1, 1, 1, 4, -1, 2, 0, 0, -1, -1, 1, -1, 0, 1, 0, 0, -2, 0, 2, 0, 0, 1, 2, -1, 1, -1, 4, 0, -1, 0, 1, 0, -1, 0, 1, 0, -2, 1, 0, 1, 0, -1, 1, 2, 1, 1, 1, 2, 0, 4, 0, -1, -1, -1, 1, -1, -1, 1, 0, -1, 1, -2, -3, 0, -2, -1, 0, 0, -1, 0, -1, 0, 4, -1, 0, -1, -1, 0, -1, 0, -1, -2, -1, 1, 2, -1, 1, 0, 1, -2, 0, 0, 0, -1, -1, 4, 0, 1, 1, 1, 1, -1, 0, 2, -1, -1, 0, 1, -1, -2, 0, 0, -1, -1, 1, -1, 0, 0, 4, 1, -1, -1, 0, 0, 0, 0, -1, 3, 3, 1, 2, 0, -1, -1, 0, -1, 0, -1, -1, 1, 1, 6, 2, 0, 1, 0, 1, 3, -1, 3, 1, -1, 1, 2, 0, 0, 1, 1, -1, 1, -1, 1, -1, 2, 4, -1, 1, 1, 1, 2, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, 0, -1, 4, 0, -2, 0, 0, -1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 1, 0, 1, 1, 0, 4, 0, 0, 2, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1, -2, 0, 4, 1, 0, 1, 1, 0, 0, 1, -1, -2, 1, -1, 0, -2, 0, -1, 0, 0, 1, 1, 0, 0, 1, 4, 0, -2, 3, 4, -2, 2, 2, 1, -2, 2, 0, 1, -1, -2, 2, 0, 3, 2, 0, 2, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 2, 2, 1, -1, 1, 2, -2, -2, 2, 0, -1, -2, 1, 0, -1, 0, -2, -1, -1, 4, 0, 0, 0, 0, -1, 2, 0, 0, 2, 1, -2, 0, 2, 2, -2, -1, 1, 1, 1, 0, -2, 0, 4, 2, -2, -2, 1, -1, -1, -2, 0, 2, -1, 0, 0, 2, -1, 0, -1, 0, 1, 1, -1, 0, 2, 4, -2, -1, 2, 1, -1, -1, 1, 0, -1, -1, -1, 2, -1, -1, -1, 1, 1, 1, 2, 0, -2, -2, 4, 1, 0, -1, 2, 2, -2, -1, 2, 1, 0, -1, 0, 0, 0, 0, -2, -1, 2, 0, -2, -1, 1, 6, -1, 0, 2, 0, -1, -3, 0, -2, 0, 0, 1, -1, 0, 1, -2, -2, 1, -1, 1, 2, 0, -1, 6, -2, 0, 1, 1, 0, 1, -1, -2, 2, -2, -2, 0, 2, -1, 2, -1, 2, -1, 1, -1, 0, -2, 6, -2, -1, 3, 0, -1, 0, 2, 0, -1, -1, 1, 1, 1, 1, 1, 0, -1, -1, 2, 2, 0, -2, 4, 1, -1, -2, 1, -1, 0, 1, 0, 0, 0, 0, -1, -2, 2, 0, -2, -1, 2, 0, 1, -1, 1, 4, 0, -1, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, -2, 2, 0, 1, -2, -1, 1, 3, -1, 0, 6, 1, -2, -1, 1, 2, -2, -2, 2, 2, 1, 2, -2, 1, 2, 0, -1, -3, 0, 0, -2, -1, 1, 4, -1, 1, 1, 1, -1, 0, 0, 0, 1, 1, 2, -2, -1, -1, 2, 0, 1, -1, 1, 1, -2, -1, 4, 0, -1, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, -2, -1, 0, -1, 0, -1, 1, 0, 4, 0, -2, 1, 2, 0, -2, 0, 0, -1, 2, 0, -1, 0, 0, -2, 2, 0, -1, 1, 1, -1, 0, 4, 1, -1, -1, 0, 0, 1, 0, -2, 2, 2, 2, -1, 0, 2, 0, 1, -1, 2, 1, -2, -2, 1, 6, -2, -2, 0, 2, 1, 1, 1, -2, -1, -1, 0, 1, -2, -1, 0, 0, -2, -1, 0, 1, -1, -2, 4, 2, -1, -2, 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 0, -2, 0, 0, 2, -1, -2, 2, 4, 0, -2, 1, -1, -1, 1, -1, -1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, -2, 0, 2, -2, -2, 0, 4, 0, 1, -2, 1, 1, 1, -2, -2, -1, 1, -1, -1, 1, 1, -2, 0, 1, 1, 0, 1, 0, 0, 4, 0, -1, 0, 1, 1, -1, -2, 2, 1, -2, 0, 2, 1, 0, 0, 0, 1, -1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 2, 0, 1, 0, -1, -1, -1, -2, 0, -1, 2, 1, 2, -1, 0, -1, 0, 0, 1, 4, -1, 1, 1, -1, 1, 1, 0, -2, 0, 0, 1, 0, 2, -1, 2, -2, 0, 0, 0, 1, 2, -1, 4, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 1, 2, 0, 1, -1, -1, 1, 0, 1, 1, 0, 4, 2, 1, 2, -1, 1, -1, -1, 0, 1, 1, 0, 0, 2, -2, 1, -1, 0, 0, 2, 1, 0, 2, 6, 2, 3, 1, -2, 1, 1, 0, -1, 0, -1, 0, 2, -2, 2, 1, -2, 2, 0, -1, 0, 1, 2, 4, 0, 1, 0, 2, 0, 1, -1, -1, -1, -1, 0, 0, 2, 0, -1, 1, 1, 1, 0, 2, 3, 0, 4, 0, 0, 0, 1, 0, 1, 1, -1, 0, 2, -2, 1, 1, -1, 1, 0, 1, -1, -1, 1, 1, 0, 4, 0, 2, 0, 1, -1, -1, -1, -2, 1, -1, 1, 0, -1, 2, -1, 0, 0, 1, -2, 0, 0, 0, 4, 0, -1, 0, 2, 1, -1, 0, 0, 0, -1, -1, 0, 0, -1, -2, -1, -1, 1, 2, 0, 2, 0, 6, 0, 0, -1, 0, -3, -1, 0, 1, 2, 0, -1, 1, -1, 0, -1, -1, 1, 0, 1, 0, -1, 0, 4, 0, 0, -1, 0, 0, -1, 0, 0, 2, -1, 1, -2, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 4, 0, 0, -2, -2, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, -1, -1, 1, -1, 2, -1, 0, 0, 4, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, -1, 1, 0, -1, 0, 0, 4, -2, 1, 0, 0, -1, 0, 1, 0, 2, 2, 1, 0, -1, -1, -1, -1, -1, -3, 0, -2, 1, -2, 6, 0, 0, -1, 0, 0, 1, 0, 1, -1, 2, 0, 0, -1, 0, -2, 0, -1, 0, -2, 0, 1, 0, 4, 0, 1, -2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 4, -2, 1, -1, 0, 1, -1, -2, 1, -2, -2, 0, -2, -1, 0, 1, 0, 0, -1, 0, -1, 1, -2, 4, -1, 0, 1, -1, 0, 0, -1, 1, 2, 2, 1, 1, -1, 2, 0, 1, 0, -1, 0, -2, 1, -1, 4, 0, -1, 1, -1, 0, -1, -1, 1, 0, 1, 0, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 1, 0, 0, 1, 0, -2, -1, -1, -1, 0, -1, -1, -1, 0, 1, 1, 1, 0, 1, -1, 0, 4, -1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, -1, -2, 2, -1, 0, 0, -2, 2, -1, 0, 0, 1, 2, 1, -2, 2, 1, -2, 4, 2, -1, 1, 1, 2, -1, 0, 1, 1, 0, -2, 1, 0, 0, -1, 0, -1, 2, -1, 0, -2, 2, 4, -1, 2, 2, 2, 0, 1, -1, 0, 1, -2, 1, -1, 0, -2, 0, 0, 2, 0, 0, 1, -1, -1, 4, 1, -2, -1, 2, -2, 1, -1, 1, -1, 1, 1, 0, 0, 2, 2, -1, 2, 0, -1, 1, 2, 1, 4, 1, 1, 0, -1, 1, 0, 2, -1, 2, 1, 0, -1, 0, 0, 1, 0, 0, -1, 1, 2, -2, 1, 4, 2, -1, 2, 0, 0, 0, -1, 1, 0, 1, -1, -2, 0, 1, 0, -1, -2, 2, 2, -1, 1, 2, 4, -2, 0, 1, 0, 1, -2, 2, 0, 0, 0, -2, 0, 2, -1, 0, 2, -1, 0, 2, 0, -1, -2, 4, 0, -1, 0, -1, 0, -1, 0, 0, -1, 3, 2, -1, 3, 0, -1, 0, 1, -2, -1, 2, 0, 0, 6, 0, 1, 1, 0, 0, -2, -1, 0, -2, 0, 1, 1, -2, 0, 1, -1, 1, 1, 0, 1, -1, 0, 6, 0, 0, 1, 2, 1, -2, 2, 0, 0, 0, 1, 1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 4, 1, 1, 0, 1, 0, 1, -1, 0, 0, 0, 0, -2, 0, 1, 1, 2, 0, 1, -1, 1, 0, 1, 6, -2, 2, 1, -1, 0, -3, 0, 0, -1, -2, 2, -2, -2, -1, -1, -1, -2, 0, 0, 1, 1, -2, 6, -1, 0, -1, 1, 1, -1, -1, 1, 2, -1, 1, 1, 1, 2, 1, 2, -1, 0, 2, 0, 2, -1, 4, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, -1, 1, 1, 0, 0, 0, -2, 1, 1, 1, 0, 0, 4, 0, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, 0, -1, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, -1, -2, 0, -1, -1, 0, -1, 0, 2, 1, 0, 1, 0, 0, 0, 4, -1, 0, -1, 0, 1, 2, 0, 0, 2, 0, -2, -2, 3, -2, 0, -1, -3, 1, -1, -1, 0, -1, 6, 1, 0, 3, 2, 1, -1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 4, -1, 2, 0, -2, 2, 2, -1, 1, 1, 2, -1, 1, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 4, 0, 0, 2, -1, 0, 2, 0, 0, -1, 3, 1, 1, 0, -1, 1, 1, -1, 0, 0, 3, 2, 0, 6, 0, 1, 0, 0, 0, 0, -1, 0, 0, -2, 1, 0, -2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 2, 0, 1, 1, 0, 2, 0, -1, 2, -1, -2, 0, -1, 0, 2, -1, 1, 1, 0, -1, 0, 4, -1, 1, -2, 1, 0, 0, 1, -2, 0, 1, 1, 1, -2, 0, 1, 1, -1, -1, 1, 0, 2, -1, 6, -2, 0, 2, 0, 1, -2, 0, 1, 1, -1, -2, -2, 2, 1, -2, 0, 2, 2, 0, 0, 1, -2, 4, -1, 0, 0, 1, 0, -2, 1, 1, 0, 0, -1, 0, -1, 2, 0, -2, 0, 1, 1, -2, 0, -1, 4, -1, 1, 0, -1, 1, 0, -1, -2, -1, 2, 0, 0, -1, 0, 1, 0, 0, 1, 1, 2, 0, -1, 4, 1, 0, 0, -2, 0, 1, 0, 0, -2, 1, 2, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 4, 1, 0, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 2, 0, 1, 1, 0, 0, 1, 4, -1, -1, 2, 0, -1, 0, 0, 0, 0, -1, 0, 1, -1, -1, 0, 1, -2, 0, -1, 0, 0, -1, 4, 1, 0, -1, 0, 2, -1, -1, 1, 1, 0, -1, -2, -1, -1, -2, 0, -2, 1, -2, 1, -1, 1, 6, -1, -1, 0, 1, 2, -1, 0, -1, 1, 1, 0, -2, 2, 0, 1, 1, 0, 0, 1, 2, 0, -1, 4, 0, -1, -1, -2, 0, 0, -1, 0, 1, 0, -1, -1, 1, 1, 1, -1, 1, 0, 0, -1, -1, 0, 4, 0, -1, -2, 2, -1, 0, -2, -1, 2, 1, -2, 1, -1, 0, -2, 0, 0, -1, 0, 0, -1, 0, 4, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, 1, -2, 0, -1, 0, 0, 0, 2, 1, -1, -1, 0, 4, 0, -1, 1, 1, 0, -1, -1, -1, -1, -2, -2, -1, 2, -2, 0, 0, -1, 2, -2, -2, 1, 0, 6, -2, -1, -1, 2, 1, -2, 0, 0, 0, 2, 0, 0, 1, -1, 0, -1, -1, 0, 2, -1, -1, -2, 4, 0, 0, -2, 0, 2, 1, 2, 1, 1, -1, 0, 2, 1, 0, 1, 0, 0, -1, 0, 1, -1, 0, 4, 0, 1, 0, 0, 0, -1, 1, -2, 2, -1, 1, 0, -1, 1, -1, -1, 0, 0, 1, -1, 0, 0, 4, 0, -2, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 1, 0, 2, -2, 1, 0, 4, 0, -1, 0, 1, -1, 2, -2, 1, -1, 0, 1, -1, 1, 1, -1, 0, -1, 1, 0, 0, -2, 0, 4, 1, -1, 0, 1, 2, 0, 0, 0, -1, -1, -2, 0, 0, 2, 0, -1, -2, 2, 0, 0, -1, 1, 6, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, -2, -1, 1, 1, -1, 0, 1, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, -1, 2, 1, -1, -2, 0, 0, 1, 0, 1, 0, 1, 1, -1, 0, 0, 1, 1, 2, 4, -2, -1, 0, 2, 0, 0, -2, 1, -1, 2, 0, 0, 1, 1, 1, 1, -1, 0, -1, 1, -2, -2, 4, 0, 1, -1, -1, 1, 2, 0, 0, 0, -1, -1, 1, 0, 0, 1, 1, 0, -1, -1, -1, -1, 0, 4, -1, 0, 0, 0, 1, -2, 0, -1, 1, -1, -2, -2, 0, 0, -1, -1, 0, 1, -1, 0, 1, -1, 4, -1, -2, 2, 0, 2, 1, -1, -1, 0, 0, 1, -1, 2, 0, -1, -2, -1, 2, 2, -1, 0, -1, 4, 1, -1, 0, -1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, -1, 0, -2, 1, 4, 0, -1, -2, -1, 0, 0, 1, -1, 1, -1, -1, 1, 0, 1, 0, -1, 0, 1, 0, 2, -1, 0, 4, 0, 0, 0, -1, -2, 0, 0, 1, -1, 2, 1, 0, -2, -2, -2, -2, 2, 1, 0, 0, -1, 0, 4, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 2, -1, -2, 0, -1, 4, 1, 0, 0, -1, 1, 1, 1, 1, -1, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 4, -2, 0, 1, -1, 0, -1, 0, 1, -1, 0, 0, 1, 2, 0, -1, -1, 2, 0, -1, 0, 0, -2, 4, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 1, -1, 1, 0, -2, 0, 0, 0, 0, 4, -1, -1, -1, 0, 0, -2, 0, 1, 2, 1, 0, -1, -1, 0, 1, 1, 0, 0, -1, 1, 0, -1, 4, 0, 0, -1, -1, 2, 0, 1, 0, 0, 1, 1, -2, 0, 0, -1, 0, 0, 1, -1, 2, -1, 0, 4, 1, 1, 1, 1, 2, -1, 0, 1, 1, 0, -2, 1, 1, 1, 1, -1, 1, 0, 1, -1, 0, 1, 4, -1, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 0, -1, -1, 0, 1, -1, 1, 0, -1, 1, -1, 4, 0, -1, 0, 0, 0, -1, 1, 1, 0, 2, 0, -1, 2, 0, 1, 0, 0, 0, -1, 1, 1, 0, 4, 0, 0, -2, 0, 0, -1, 1, -1, 0, 0, 1, 1, 0, -1, 1, 0, -2, 2, 1, 1, -1, 0, 4, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 2, 0, 0, 0, 0, 4, 1, 0, 1, -1, -1, 0, -2, 0, 1, -2, 0, -1, 0, 0, 1, 1, -1, -1, 0, -2, 0, 1, 4, 0, 1, 1, -1, 1, -1, 2, 0, -2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 1, 1, -1, 1, 2, 0, 0, 1, 2, 0, -1, 1, -1, -1, 1, 0, -2, 1, 1, 4, -2, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 0, -1, 0, -1, -2, 4, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 1, 1, 0, 0, -1, 0, 2, -1, 2, -1, 0, 4, 1, 1, -1, 1, 2, 0, -1, 1, 1, -1, 0, 1, -2, -2, 1, -1, -2, 0, 1, 1, -1, 1, 4, -1, 0, -1, 1, -1, 1, 1, 0, -1, -2, 1, -2, 1, 2, 1, 0, -1, 1, 1, 0, 1, -1, 4, 0, 2, 1, 1, -1, 0, 0, -1, 1, -1, 0, -2, -1, -1, -2, 1, -1, 1, 1, -1, 0, 0, 4, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, -1, -1, 0, -2, 1, 0, 0, 1, -1, 2, 0, 4, 2, 0, -2, 0, 1, 0, 1, 1, -1, -2, 0, -2, -1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 4, 0, -1, 0, 2, 0, -1, 2, -2, -1, 0, -1, -2, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 4, -1, -2, 0, 0, 0, -1, 1, 0, 0, -1, -1, 1, 0, 0, 0, -1, 1, -1, -1, -2, -1, -1, 4, 0, 0, -1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, -1, 0, 0, -2, 0, 4, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 1, 0, 0, -1, 1, 2, 0, 0, 1, 4, 0, 0, 1, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 4, -1, 1, 1, 1, -1, 0, 2, 0, -1, -1, 1, 0, -2, 1, 0, 1, -1, 0, 0, -1, 0, -1, 4, -1, 0, -2, 0, 0, 0, 1, 1, -1, 1, 1, 1, -1, 0, 1, 2, -1, 0, 0, 1, 1, -1, 4, -1, 0, 0, 0, 1, 0, -1, 1, 0, -2, -2, 0, 0, -1, -2, 1, 0, 0, 0, 1, 0, -1, 4, 1, -1, 0, 1, 1, -1, 1, 0, -2, 1, -2, 1, -2, -1, 0, 1, 0, -1, 1, -2, 0, 1, 4, 0, 1, 2, -1, 1, 0, -1, 1, 2, -1, -1, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, -2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 4, 2, 1, -2, -1, 2, -2, 0, -2, 0, -1, -2, -1, 1, 0, -1, 2, 0, 1, 1, 2, 0, 2, 6, -1, 1, 0, -1, 0, -1, 1, -2, 0, 0, 1, 1, -1, 1, 0, 1, 0, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 1, 1, 0, 2, 0, 0, 1, -2, 1, -1, -1, 1, 0, -1, 0, 1, -2, 1, 2, 4, 0, 0, -1, -1, 0, 2, 1, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 4, -2, 2, 2, 0, 2, 1, 1, 2, -1, -1, 0, -1, -1, -1, -2, 0, 2, -1, -1, -1, 0, -2, 4, -2, 0, 1, -1, -1, -1, -2, 1, -1, -1, 0, 0, 1, 2, 1, -2, 2, -1, 1, -1, 2, -2, 4, 1, 0, 0, 1, 0, 2, -1, 0, 1, 0, 0, -2, -2, -1, 2, -2, 0, 1, -1, 2, 0, 1, 6, 2, -1, 1, -1, 1, -1, -1, -1, 0, -2, -2, -2, 2, 2, 0, -1, 0, 0, 0, 1, 0, 2, 4, -1, 1, 0, 0, 1, 0, 0, 2, -2, -2, -1, 1, 1, 2, -1, 2, 2, 2, -1, 0, -1, -1, 6, 1, 0, 0, 0, -1, -2, -1, 1, 2, 0, -1, 0, -2, 0, 0, 1, 1, -1, 1, 1, 1, 1, 4, 0, 0, 1, -1, 0, 1, 0, -1, -1, -1, 1, -1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 2, -2, 2, 1, 0, 0, 0, 0, 4, -1, 0, 0, -2, 0, -2, -2, -1, 2, -1, 0, -2, 0, -1, 1, -1, -1, 1, 0, 1, 0, -1, 4, -1, 0, 1, 0, 0, 0, -1, -1, 2, -1, 1, 1, -1, -1, 0, -1, 0, -1, -1, 0, 0, -1, 4, 0, 2, 0, 0, -1, 1, 1, 0, 2, -1, -1, 0, -1, 1, -1, 0, -2, 0, 2, 0, 0, 0, 4, 0, 0, -1, 0, -1, 0, 1, 0, -1, 1, -1, 0, 0, 0, 2, -1, 1, 0, -2, 1, 2, 0, 6, -2, -1, -1, 2, 1, 1, 0, 1, 1, -1, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, -2, 4, 2, 1, -2, -1, -1, 1, 0, 1, -1, 1, -2, -2, -2, 2, -1, 0, -2, 0, 0, -1, -1, 2, 4, 2, 0, -2, 0, 1, -1, 0, -2, 2, -2, -2, -1, 0, -1, 0, -2, 0, -1, 0, -1, 1, 2, 4, 0, -2, 1, 0, 0, 0, 0, 1, -1, 2, 1, -1, -1, 0, -1, -1, 1, -1, 2, -2, 0, 0, 4, 0, 1, 0, 1, 0, 2, -2, 2, 2, 1, 0, 1, 0, 2, -1, 1, 0, 1, -1, -2, -2, 0, 4, 0, 0, -2, 0, -1, 2, -2, 0, 2, -2, -1, 1, -1, 2, 0, 1, 1, -1, 0, 1, 1, 0, 6, -2, 1, 0, -1, -1, 0, -1, -1, 0, -1, -1, 0, -1, 2, 0, 0, 1, 1, 0, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, -1, 0, 1, 0, 1, -1, 1, 2, -1, 1, 1, -1, 1, 2, 2, -2, 1, 2, 4, -1, -1, 1, -2, 0, 2, 1, 2, -1, 0, 2, 0, 0, 0, -1, 0, 2, 2, -2, -1, 0, -1, 4, 0, 0, 0, 0, -1, -2, -1, -1, -1, -2, -1, 0, -1, -1, 1, -1, 0, -1, 1, 0, -1, 0, 4, -2, 2, -1, 0, -1, -1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, -2, 4, 0, -1, 1, 1, 1, 0, 0, -1, 1, -1, -1, -1, 1, 0, 0, 0, -1, -1, -2, 0, 2, 0, 6, -1, 0, 0, -1, 2, 0, -1, 1, 1, 1, -1, 0, 1, 1, 3, 3, 0, 0, 0, -1, -1, -1, 4, -2, 0, 0, -2, 1, 2, -1, -1, -2, 0, 1, 0, 1, -1, 1, 1, 2, -1, 0, 1, 0, -2, 4, 0, 2, 1, -1, 1, 1, 0, 2, -1, -1, 1, 0, -1, -1, 0, 1, -2, -1, 1, 0, 0, 0, 4, 0, 0, 1, 1, 0, 1, 0, -1, -1, 1, 1, 0, 0, 1, 2, -1, -1, 1, -1, 0, 2, 0, 4, -1, -1, 2, 1, 0, 0, -1, -1, 1, 1, -2, -2, -1, -1, -1, 1, 0, 2, -2, 1, 0, -1, 4, -1, -2, 0, 1, 2, 1, -1, 0, -2, 2, 0, 1, 0, -1, 1, 0, 0, 1, -1, 1, -1, -1, 4, 2, 1, -1, 0, 0, 2, 0, 1, 1, 2, 2, 2, -2, 0, -1, -1, 2, 1, 1, 2, -2, 2, 6, 0, 0, 0, -1, 0, 1, 2, -1, 1, -1, 0, -1, 1, 1, 1, -1, 1, 0, 1, 0, 1, 0, 4, -2, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, 1, -1, 0, 1, 0, 1, -1, 0, -2, 4, 1, -1, -1, 1, 0, 0, 1, 1, 0, -1, 2, -1, 1, -2, 2, 0, 0, 2, 0, 0, 0, 1, 4, 0, -1, 1, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, 0, 4, 0, -1, -1, 2, -1, 1, 0, 1, 0, 1, 0, 1, -1, -1, -1, -1, 2, 0, 0, -1, -1, 0, 4, 0, 1, 1, 2, 2, 2, -1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, -1, 0, 4, 2, -1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, -2, 1, 2, 0, 0, 0, -1, 1, 2, 6, 0, 2, -2, -2, -1, 2, 0, 3, -1, -1, 0, -2, 2, 1, -1, 1, 0, 0, 2, 1, -1, 0, 6, 1, 1, -1, 1, 2, -1, 3, 1, -1, 0, -2, 0, 2, 1, -1, 1, 1, -1, 2, 1, 2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 2, 1, 1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 1, -1, -1, 1, 0, -1, 6, -3, 1, 2, 1, 1, -3, 1, -1, 2, -2, 0, -2, 1, -1, -1, 1, 1, -1, -1, -1, 2, -3, 6, -2, -1, 1, 1, 0, 1, 2, -1, 1, 0, 1, 1, -1, -1, 1, -2, -1, -1, -1, 0, 1, -2, 4, 0, 0, 1, 0, -1, -1, -1, -1, 1, -1, 0, -1, -1, -1, 1, 1, -1, 0, 0, 2, -1, 0, 4, 0, -1, -1, 1, -1, 0, -1, 1, 0, -1, 0, 1, 0, 1, 0, -1, 1, 2, 1, 1, 0, 0, 4, 0, 0, 1, 0, 1, -2, 1, 0, 0, 0, -2, 0, -1, 0, -1, 0, 1, 1, 1, 1, -1, 0, 4, -1, -1, 0, 0, 0, -1, -1, 1, -2, -1, 2, -1, -2, 0, -2, 1, -3, 0, 0, -1, 0, -1, 4, -1, 0, 0, 1, 0, 2, -2, 2, 0, -1, 0, 1, 1, 1, 0, 1, 1, -1, 1, 1, -1, -1, 4, 0, 1, -1, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 1, -1, 2, -1, -1, 0, 0, 0, 0, 4, -1, 0, 0, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0, 2, -1, -1, 0, 1, 0, 0, 1, -1, 4, -1, 0, 1, -1, 1, -1, 0, -1, 0, 0, 0, -1, -2, 1, -1, -1, -2, 0, 1, -1, 0, -1, 4, -2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 1, 0, 0, -2, 4, 0, -1, 0, 0, -2, -1, 1, -1, 1, 1, -2, 1, -1, 0, 0, -1, 2, 1, 0, 1, 1, 0, 4, -2, 2, 0, -1, -1, 1, 1, 1, 0, 1, 1, 0, -1, 0, 1, -2, 0, 2, -1, 0, -1, -2, 4, -2, -1, 1, 1, -1, -1, -1, 0, -1, -1, -1, 0, 0, -2, 2, 0, 0, 1, 1, 0, 2, -2, 4, 1, -1, 0, 1, 1, 2, -1, -1, -1, -1, 1, -2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 4, 0, 0, 0, 2, 1, 1, 1, 1, -1, 0, 0, 2, -1, -1, 1, 0, 0, -2, -1, 1, -1, 0, 4, 0, -2, 1, -1, -1, 1, -2, 1, 1, -1, -1, 0, -1, 0, -1, 1, -1, -1, 1, 0, 0, 0, 4, 0, -1, 1, -1, -1, -1, 1, 0, 0, -2, 1, 1, -1, 0, 0, 1, 1, -1, 1, 0, -2, 0, 4, 0, 1, 1, -1, -1, -1, -1, -1, 0, 1, 0, 0, 0, 0, -1, 1, -1, 1, 2, 1, -1, 0, 6, -1, 0, -1, -1, 0, 1, 0, -2, 1, -1, 0, 0, 0, 1, 1, -1, 2, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -2, 2, -2, 1, -1, -2, 1, 1, 1, 0, 1, -1, 1, -1, 1, 0, -1, -1, 1, 2, 6, 2, -1, 2, -2, 3, 1, -2, 3, -1, -1, 0, 0, -2, -2, -2, 2, -1, -2, -2, 0, 0, 2, 4, 1, -1, 1, 1, 2, 1, 1, -2, -1, 1, -1, -2, -2, 0, 2, 1, -2, -1, -1, -2, -1, 1, 4, -2, 2, 0, 1, 2, 0, -1, -1, -1, -1, 0, -1, 0, -1, 0, 1, 0, -2, 2, 2, -1, -2, 4, -2, 0, -1, -2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 2, -2, 4, -1, 0, 2, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 3, 1, 0, 0, -1, 4, 0, 0, 2, -1, -1, 0, 0, -1, -1, -1, 1, -1, -1, -2, 0, -1, 1, 2, 1, -1, 0, 0, 4, 0, 0, -1, -1, 1, -2, -1, -2, -1, 1, 1, -1, 1, -1, -2, -2, 1, 2, -2, 2, 0, 0, 4, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 3, 1, 0, 0, 0, 2, 0, -1, 4, -1, 0, 0, 0, -1, -1, -1, 1, -1, -1, -2, 0, 1, -1, -2, -1, 1, -1, -1, -1, -1, -1, 4, 2, -1, 1, 2, 2, 1, -1, -1, 1, 0, 2, 1, -1, -1, -1, 0, -1, -1, -1, 0, 0, 2, 4, -1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 4, 0, 0, -1, 1, 1, 0, -1, 1, 0, 1, 0, -1, -1, 1, 0, 0, -2, 0, 0, 1, 1, 0, 4, 0, 2, 1, -1, -2, 1, -1, 1, -1, -2, -2, 0, 0, 0, -1, -1, 0, -1, 2, 1, 0, 0, 4, 1, 1, -2, -1, 1, 1, 1, 1, -2, -2, -1, 0, 0, -1, -2, 0, -1, 2, 2, -1, 2, 1, 4, 1, -1, -1, 1, 0, 2, -1, -2, 0, 0, 0, 1, -1, -1, 1, -1, 1, 0, 1, 1, 1, 1, 4, -1, 0, 1, 0, 1, 1, 2, 2, -1, 0, 0, 1, 1, 0, 1, -1, 0, 1, -1, -2, -1, -1, 4, 1, -2, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, -1, -1, 0, 0, -2, -1, -1, 0, 1, 4, -1, 1, -1, -1, -2, -2, 1, 0, 0, -1, -1, 0, -1, 1, 0, -1, 1, 1, 1, 1, -2, -1, 4, 1, 0, -1, -2, -1, 0, 0, 0, -2, 1, 0, -2, 0, 0, 1, -1, 1, 0, 0, 0, 1, 1, 4, -1, 1, 0, -1, -2, 0, -1, 0, -1, -1, 0, 2, 1, 0, 1, 1, 2, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 1, 0, 1, 1, 2, 1, 0, 2, -1, -1, 0, 1, 1, 1, 1, 1, 2, 1, -2, -2, 4, 1, -2, -1, 1, -2, -2, -1, 0, -2, 1, 2, -1, 0, -1, -2, -1, -2, -2, 1, 2, -1, 1, 6, -3, 0, 1, -3, -1, -2, -2, -2, -1, -2, 2, 1, -2, -1, 1, -3, -1, -2, 1, 1, -2, -3, 6, 2, -1, 2, 2, 1, 0, 2, 0, 0, -1, 0, 0, 1, 1, 4, 2, 2, 0, 0, -1, 0, 2, 6, -2, 0, 1, 2, 2, 1, 1, 1, 0, -2, -2, -1, 2, 0, 1, -1, -2, 1, 1, 1, -1, -2, 6, -3, -1, -2, 0, -1, 1, 1, -2, 2, -1, 1, 1, -2, -1, 0, -1, 1, -2, -3, 2, 0, -3, 6, 1, 2, 0, 1, 0, -2, 0, -2, 3, 1, -1, 4, 1, 0, 0, 2, -2, -1, 2, 1, -1, 1, 4, 2, -1, 2, -2, -1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, -1, -2, 1, 2, -2, 2, 2, 4, 1, 1, -1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0, 0, -2, 0, 2, 0, 0, -1, 1, 4, 0, 2, 2, -1, -2, 0, 0, 0, -1, 0, 0, -2, 2, -2, -2, 2, 1, -1, 1, 2, 1, 0, 4, 0, -1, 0, 1, 0, 0, 0, 2, 2, 0, -2, -1, 1, -1, 0, 1, 1, 0, -2, -1, 2, 0, 4, 1, -1, -1, 0, 0, 0, 0, -1, 0, -1, -1, 2, -2, 0, 1, 1, -2, -1, 1, 2, -1, 1, 6, -2, -1, -1, 0, 0, -2, -1, 2, 0, 0, -1, 2, -1, 0, -2, 0, 0, 0, -1, 0, -1, -2, 4, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, 1, 0, -2, 2, -2, 1, -1, -2, 1, -1, -1, 0, 4, -1, 0, 0, 0, 0, 1, 1, 1, -1, -2, 0, -2, -1, 3, 0, 0, 0, 0, 0, -1, 0, -1, 4, 1, -1, 2, 0, 1, 0, 1, -2, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, 1, 0, 0, -1, 1, -1, 1, 1, 2, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 4, 0, 1, 0, -1, 1, -2, -3, 4, 0, -2, 4, 2, 1, -1, 2, 0, -2, 0, 0, 2, 1, 0, 6, 1, 1, 1, 2, -2, -1, 2, 1, -1, 1, 2, 1, 0, 2, -1, -1, 1, 0, 0, 0, 1, 1, 4, 1, -1, 1, 1, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 1, 0, 0, 1, 1, 6, 1, -2, 2, 1, 0, -2, -1, 0, 0, 0, -2, -2, -1, 0, 1, 1, 0, -1, -1, 1, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -2, 2, 0, -1, -2, 0, 1, 0, 0, -1, 0, 0, -1, 1, -2, 1, 2, -1, -2, 2, 4, 0, -1, 1, -1, 0, -2, 0, -1, 0, -1, 0, 1, -1, 0, 0, 0, 1, 1, 1, -2, 2, 0, 4, -2, 2, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, -1, 2, -2, -1, 1, -2, 0, -2, -1, -2, 4, -2, 0, 1, 0, -1, 0, 0, 1, 1, 0, -1, 0, 0, 2, 1, -1, 1, 1, 2, 1, 2, -2, 4, 0, -1, 0, -1, -1, -1, -1, -1, 1, 1, -1, 1, -2, -1, 1, -2, 0, 0, -1, 0, 0, 0, 4, -2, 2, 0, 2, 0, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 0, 0, 1, -1, -2, 4, 0, 0, -1, -1, -1, 1, 0, 0, -1, 1, 2, 1, 0, 0, 1, -2, -2, -1, 0, 0, 2, 0, 6, 0, 1, -1, 0, 0, -1, 1, 1, -1, 0, -2, -2, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 4, -1, 2, 0, 0, -2, 0, -1, -2, 0, 0, 0, -1, 1, 1, -1, 0, 0, -1, 2, -1, 1, -1, 6, -1, 1, -1, 0, -1, 1, 1, 0, 1, 1, 1, -2, 0, 0, -1, 0, -1, 0, -1, -1, 2, -1, 4, 0, -1, -2, 0, 0, -2, 0, 0, -1, -1, 0, 0, -1, 1, 1, -1, 1, -1, 0, 0, 1, 0, 4, 1, 0, -1, 1, 0, -1, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0, 0, -1, -1, 1, 4, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, -1, 0, -1, -2, 0, -2, 0, 0, 4, -1, 1, 1, 0, 0, 1, 1, -1, 0, -1, 0, -1, 1, 1, 0, 1, 0, -1, 0, -1, 1, -1, 4, -1, -1, -1, 0, 0, -1, 2, -1, 0, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, 0, 1, -1, 4, 0, 0, -1, -1, 2, -1, 1, 0, 2, 0, 1, -1, 1, -1, -2, 1, -2, 0, 0, 1, -1, 0, 4, 0, 0, 1, 0, 0, -2, 0, -2, 2, -2, -1, 2, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 4, 1, 0, 2, 1, 1, 1, -1, 1, -1, -1, 1, -2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 4, 1, 0, -1, 2, 1, 1, -1, 1, -1, 0, -2, 0, 1, -1, 0, 0, 1, 0, -1, 1, 0, 1, 4, 0, -1, -1, 1, -2, 1, -2, 1, 0, 1, -1, 1, -1, 0, 2, 1, -1, 2, 0, 2, 0, 0, 6, -1, -2, -2, 0, 1, 0, 1, 1, 1, 1, -2, 0, -1, 2, -1, 2, -1, 0, 1, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, 0, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 2, 1, 2, -1, 0, -2, 4, -2, 2, 1, 1, 1, 0, 1, -1, -2, -1, 0, -1, 0, -1, 0, -2, -1, -2, 1, 1, 2, -2, 4, -2, -1, -1, 0, 1, -1, 1, 2, 1, 0, 1, 1, 0, -1, 2, 0, 2, 0, 1, -2, 2, -2, 4, 1, 2, -1, 0, 1, 0, 0, 0, -1, -2, -1, 1, 0, -2, -1, -1, 0, 0, 0, 1, -1, 1, 4, 2, -1, 0, 2, -2, 0, 0, 1, -2, -1, 1, -1, -1, -1, -2, -1, 1, -1, 1, -1, 2, 2, 4, -2, 0, 2, 0, 0, 0, 1, -1, -2, 2, 0, -1, -2, -2, 0, 0, 0, 1, 0, -1, -1, -2, 4, 1, 0, -1, 0, 0, -1, 1, 2, -1, 1, 0, 0, 1, 0, 1, -1, 0, 1, 0, 0, 0, 1, 4, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, -1, 2, -1, 1, -1, 1, 2, 2, 0, 0, 4, 0, 1, 1, 0, 0, -2, 2, 0, -2, -2, -1, 0, 0, -1, -1, 1, 0, -2, 0, -1, 1, 0, 4, 1, 0, 0, 1, -1, 0, 1, 0, 0, 1, 1, 0, 1, -2, 2, 0, 0, 0, 0, 1, 1, 1, 6, 3, -1, 0, -1, 3, -1, 1, -1, 3, -2, 1, 1, -1, 1, 0, 0, 0, 0, 0, 1, 0, 3, 4, 0, 0, 0, 1, 0, 1, 0, 1, -1, 0, 1, 0, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, 4, 1, 0, -1, 0, 0, 1, -2, 0, 1, 1, -1, 1, -2, -2, -1, 1, 0, 0, 1, 0, 0, 1, 4, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, -1, -1, -2, 2, 1, -2, -1, -1, 0, 0, 0, 4, -2, 1, 1, 1, 1, 0, 1, -1, -1, 0, 1, 1, 2, -1, 0, 2, 0, 3, 1, -1, 0, -2, 6, 0, -1, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 1, 0, 4, 0, 0, 0, 1, 0, 2, -2, 2, -2, -1, -1, 0, 0, -2, 0, 1, 1, 0, 0, 1, -1, 0, 4, 1, 2, 0, 0, 1, -1, 0, -1, -1, -2, 0, -1, -2, 0, -1, 0, 1, 1, 1, -2, 0, 1, 4, 0, 0, 0, 2, -2, 2, -1, -2, -2, 1, 0, -1, 1, 3, 1, -2, 1, 1, 0, 0, 2, 0, 6, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, 1, -2, -1, 0, 0, 0, -1, 1, 0, 0, 0, 4, -1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, -1, 1, -2, 1, -1, -1, 0, 1, 2, 0, 1, 2, 1, -2, 2, -2, 0, -2, 0, 4, -1, 1, 2, 2, 1, 1, 2, -1, 1, 1, 2, -1, -1, -1, -1, 0, 1, 1, 0, 2, 1, -1, 4, 0, 0, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0, 1, -1, -1, 2, 0, -1, 0, -2, 1, 0, 4, 2, 1, 2, -1, 1, 1, 0, 0, 0, 0, -1, -2, -1, 2, 0, 2, 0, 3, -1, 2, 0, 2, 4, 2, 1, 1, 2, -1, 0, 0, 0, 0, -2, -1, -2, 1, 0, 1, 0, 3, 1, 2, 1, 1, 2, 4, 1, 0, 2, -2, 0, 1, 2, 0, -1, -1, -1, -1, 2, 0, 0, 1, -2, 1, 0, 2, 1, 1, 4, -2, 2, 1, 0, 0, 0, 0, -1, -2, -1, 0, 0, 2, 0, 1, 1, 1, -1, -1, 1, 0, -2, 4, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 2, 0, 1, 2, 2, 2, -1, 4, -1, 0, 0, 0, 0, -2, -1, -2, 0, 0, 1, 0, 2, -1, -1, -1, 1, -1, -2, 1, -1, -1, 4, 0, 0, 0, 0, 1, 0, 0, 1, -1, 1, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, -2, 0, 0, 0, -1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 4, 2, -1, -1, -1, 0, 0, 2, -1, 2, 0, 2, 2, -1, 0, 0, 2, 0, 1, 0, 0, -1, 2, 6, 1, 0, 0, 1, -1, 2, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2, -1, 1, 4, -1, 0, 0, 0, -1, 0, -1, 0, 1, -1, 0, -1, -2, -1, -1, 0, -2, 1, 0, -1, 0, -1, 4, 1, 2, -1, 0, 0, 0, -2, 2, -1, 1, -2, -1, -1, -2, 0, -1, 0, 0, -1, 0, 0, 1, 4, 1, -1, 0, -1, -1, -1, 1, -1, -1, -1, -2, -1, -1, 0, -2, 0, 0, 0, 1, 0, 2, 1, 4, -1, 0, -1, 0, -1, -2, 0, -1, 2, 1, -1, 0, 0, 0, 1, -1, 0, -1, 0, -1, -1, -1, 4, -1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, -1, 1, 2, 2, -1, 0, 0, 0, -1, 4, -1, 0, 0, -2, 1, 0, 2, 1, 0, 2, -1, 1, 1, 1, -1, -1, 0, 0, -1, -1, 1, -1, 4, 0, 2, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, -1, 0, -1, 0, 1, 0, 0, 4, -1, -2, 2, 0, 3, 3, 1, 1, 0, 2, -1, 1, 0, -1, 0, -2, -1, -1, 2, 0, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, -1, -1, 0, 1, -1, 2, -1, -2, 2, 1, 1, -1, 2, 1, 1, -1, 0, 2, 1, 4, 0, -1, 0, 1, 1, 2, 0, 1, 0, -1, 1, 1, 0, 0, -1, 2, 0, 0, 1, 2, 0, 0, 4, 0, 0, 2, 0, 1, -1, 0, 0, 1, 1, 1, -2, -1, -1, -1, 0, 0, 0, -1, 2, -1, 0, 6, 1, -2, 0, 1, 0, 2, 0, 0, 1, -1, 2, 0, 2, -2, 2, 0, -1, 2, -1, 0, 0, 1, 4, -1, -1, 0, -1, -1, 2, 1, 0, 0, -1, 0, -1, 0, -1, 2, -1, -1, -1, 1, 2, -2, -1, 6, -1, 1, 2, -1, -2, 0, 0, 0, -3, -2, -2, 0, -2, -2, 2, 1, 0, 1, 0, 0, -1, -1, 4, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 4, 1, 0, 0, -1, 0, 0, 1, -1, -1, 0, 1, 0, 0, 2, -1, 0, -1, 0, -1, 2, 0, 1, 4, -1, -1, 0, -1, -1, 0, -1, -1, -1, 0, -1, 1, 2, 2, 1, 0, 2, -1, -1, 2, 0, -1, 4, -1, 0, 1, 1, 1, 1, 2, 0, 1, -1, 0, 2, -1, 0, 0, 0, 2, -2, 0, 0, -1, -1, 4, 0, 0, -1, 1, 1, -1, 0, 0, 2, -1, -1, -2, -1, 1, 0, 1, 0, 1, -1, 0, 0, 0, 4, 0, 0, -2, 0, 0, -1, 0, 0, -1, -2, 2, 1, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 4, 0, 0, -1, 1, 0, 1, 0, 0, 1, 1, 1, 1, -1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 4, -2, 0, 0, 1, -1, 0, 1, 0, 1, 0, -2, 2, -1, -3, 1, 1, 0, 1, 1, -2, 0, -2, 6, 1, 1, -1, 3, 1, -1, 2, -1, 0, -1, 0, 0, -2, 1, -1, -1, 1, 1, 0, -1, 0, 1, 4, 1, 0, 0, 1, 0, 0, 2, -1, -1, 2, -1, -2, 1, -1, -1, 2, -1, 0, 1, 0, 1, 1, 4, 0, 1, -1, 0, 1, 1, 2, -1, -2, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, -1, 0, 0, 4, -1, 0, 1, 0, 1, 0, 0, 2, -1, -2, 1, 1, 0, 1, 0, 0, 1, -1, 3, 0, 1, -1, 4, 0, -1, 1, -1, 0, 0, 0, 2, -2, 0, 0, -1, -1, 2, 0, 0, 0, 1, 1, -1, 0, 0, 4, 0, -1, 0, 1, 0, -1, -1, 2, 1, 0, 1, 0, -1, -1, 0, 1, -1, 0, 0, 1, -1, 0, 4, 1, 2, 2, -1, 2, -1, 1, 1, 2, 2, 2, -1, -2, 1, 0, 2, 0, 1, 0, 1, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, -1, -1, 0, -1, 1, -1, 1, -1, 0, 2, -1, 2, -2, -2, -1, -2, 4, -2, 2, 1, -1, 1, 1, 0, 1, 1, -2, 1, -2, 0, 0, -1, 0, -2, 2, 1, 2, 2, -2, 4, -2, -1, 0, -1, -1, 0, -1, 0, 2, 0, 2, 0, -1, 1, 0, 0, -1, 0, -1, -2, 2, -2, 4, 1, -1, 2, 2, -1, 0, 1, -2, 0, -2, 0, 1, -2, 0, -2, 1, 0, 2, 0, 1, -1, 1, 4, 1, 2, -1, -2, 0, 1, -2, 1, -2, -2, 0, 0, 1, 1, 0, 0, 0, 1, -1, 0, -1, 1, 4, 1, -2, 0, -1, 0, 0, 0, 0, 0, -1, 2, 0, 3, -2, -1, 0, -1, 1, -1, 2, 2, 1, 4, 1, -2, 0, 2, -1, 0, -1, 0, -1, -1, 0, -1, -1, 0, 1, -1, 1, -1, 2, -1, -2, 1, 4, -1, 0, 0, 0, -1, -1, 1, 1, -2, -1, -2, 1, 0, 1, -1, 0, 0, -1, -2, 0, -2, -1, 4, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 4, -1, -1, -1, -1, 0, -1, 0, 0, -1, -1, 1, 1, -1, 1, 0, 1, 1, 0, 2, 0, -1, -1, 4, 0, 1, 1, 0, -1, 0, 1, -2, 0, 0, 0, 1, -2, 2, -2, -2, 0, -1, 0, 1, -1, 0, 4, -1, 2, 1, 0, 0, -1, 0, -1, 0, -2, -1, 1, 0, 0, 1, 0, 0, -1, 1, -1, 1, -1, 4, 0, -1, 0, 0, 2, -1, 2, 0, 0, 1, -2, 2, -2, -2, 0, -1, -1, 1, -1, 1, 2, 0, 6, 2, -2, 0, 1, 0, -2, 0, -1, -1, 0, 0, 0, -2, 0, 0, 1, 1, 0, 0, 1, -1, 2, 4, -1, -1, -1, -1, -1, 1, 1, 0, 0, -1, 1, 0, -1, -1, 1, 0, -1, -1, 0, 0, -2, -1, 4, 0, -1, 0, 2, -1, 0, 2, -1, 1, -2, 0, 2, -1, -2, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 2, -1, -1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 2, 1, -1, -1, 0, 4, 0, 1, 1, 0, 2, -2, 0, -2, 1, 3, -1, -2, 0, -1, -2, 0, -1, 0, -1, 0, 2, 0, 6, -2, -1, -1, -2, 2, -1, 1, 0, -2, -1, 1, 0, -1, 0, -1, 2, -2, -1, 2, -1, 1, -2, 6, 1, 0, -2, 1, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 4, 0, -1, 2, -1, 2, 0, 0, 1, 1, 0, 1, 0, -2, 0, -1, 1, 0, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 0, -1, 2, 1, 2, -1, -2, 0, 2, 1, -1, 2, 1, 0, 1, 1, -1, 0, 1, 1, 4, 0, -1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 1, -1, 0, 1, -1, -1, -1, 0, 4, 1, 0, -1, 0, 0, 0, 0, -1, -2, -2, -1, 0, 1, -1, 1, -2, -1, 1, 0, 0, -1, 1, 4, 1, -2, 0, 0, 1, -1, -2, 1, 1, -1, 1, 2, -2, 0, 1, 0, 2, -1, -1, 0, 0, 1, 4, -2, -2, -1, 2, 0, 1, 1, 2, 1, -1, 0, 1, 0, 0, 0, 0, -1, 2, 2, -1, -2, -2, 6, 1, 2, -2, 0, 1, 0, 0, -1, 2, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -2, 1, 4, 2, 0, -1, 0, 0, 0, -2, 1, 1, -2, -1, 0, 1, 0, 0, 2, 0, 0, 0, -1, 2, 2, 4, 0, -2, 0, 0, 0, -1, 2, 2, -1, 1, 0, -1, 0, 0, -1, 1, 0, 1, 2, -2, 0, 0, 4, 0, 1, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, -1, -2, 0, 0, -1, 0, 0, -1, -2, 0, 4, 1, -1, 0, 0, -1, -1, 1, -1, -1, 1, -1, -1, 0, 1, -1, -2, 1, 1, 0, 0, 1, 1, 4, 0, 0, 1, -1, -1, 1, 0, -1, 0, -1, 0, 2, 0, -2, 1, 1, 0, 0, 0, 0, -1, 0, 4, 3, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, -2, 1, 2, 0, 0, 0, 1, 0, 0, 3, 6, 0, 1, 1, 1, -1, 2, 1, -1, -2, -1, 0, -1, -1, 1, -1, -2, -1, 1, 0, 1, 0, 0, 4, -1, -1, 1, 1, 1, -1, 0, 0, 2, 0, 0, 1, -1, 2, 1, 2, -1, -1, -1, 1, 1, -1, 4, 2, -1, 0, 0, -1, 1, 0, 1, -1, 1, 2, 0, 0, 1, 2, 0, -1, -1, 1, 1, -1, 2, 4, -1, 1, 0, -1, 1, 0, 0, 1, -1, -2, 1, 1, -2, -1, 0, 1, 1, 0, 1, 1, -1, -1, 4, 0, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, 1, -1, -1, 0, 0, -1, 1, 0, 1, 0, 4, 0, -2, 1, 1, 1, 0, -2, 1, 0, -1, 0, 0, 1, -1, -1, 2, 2, 1, 0, 0, 0, 0, 4, 0, 0, 0, -1, 1, -1, 0, 0, 0, 1, -1, 1, 1, 0, 0, 1, -1, -1, -1, 0, -2, 0, 4, 0, -1, 0, -1, 1, 2, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, 1, 1, -1, 1, 0, 0, 4, 0, 1, -1, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0, -2, 0, 0, 0, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 1, 1, 0, 1, 1, -2, 0, 0, 0, 0, 1, 1, 0, 0, 1, -2, 1, 1, -2, 4, 1, -1, -1, -1, -1, 0, -1, 2, 1, -1, -1, 1, 0, -1, 1, -1, -1, 2, 0, 0, 0, 1, 4, -1, 1, 1, 1, 0, 0, 1, 2, 0, -2, 2, 0, -1, 1, -2, 0, 1, 0, 0, 1, -1, -1, 4, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 1, -1, 0, 2, 0, 0, 0, 1, -1, 1, 0, 4, 2, 2, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 0, -1, -1, -1, 0, 1, -1, 1, 0, 2, 4, 1, 0, 0, -1, -1, 1, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, -1, 1, 0, 2, 1, 4, -1, 0, 0, 0, -1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, -1, 4, 0, -1, -1, 0, -1, 0, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 0, 2, 1, 0, 0, 0, 4, -1, 1, -1, 0, -1, 0, 0, -2, 0, 0, -1, 0, 1, -2, 2, 1, 0, -1, -1, 0, -1, -1, 4, 1, -1, 0, 1, 0, -1, 0, 0, 0, 2, -1, 0, 0, 1, 2, 0, -1, -1, 0, -1, 1, 1, 4, 0, 0, 2, 0, -2, 0, -1, 1, 1, 0, 1, 0, -1, 0, -1, -1, 1, -1, 0, -1, -1, 0, 4, 0, 0, 1, 0, 2, 0, 0, -1, 0, -1, 0, -1, -2, 0, -1, 0, 0, -1, 0, 0, 0, 0, 4, -1, 0, -1, -1, 2, 0, 0, -1, 1, 0, 1, 2, 0, -1, 0, 0, 0, -1, 1, 2, 0, -1, 4, 0, 0, 2, -1, 1, 1, 1, -1, 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 1, 0, 0, 4, 0, 1, -1, 0, -1, 1, 0, 1, -1, -1, 1, 1, 1, -1, 1, 0, -1, -2, 0, -1, 0, 0, 4, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, -1, 1, -1, 1, -2, 0, 0, 2, -1, 2, 1, 1, 4, -1, 0, 0, 1, -1, 0, -1, -2, 0, 0, 0, -1, -1, 0, 0, -1, 0, 2, -1, -1, 1, -1, 4, 0, 0, -1, 0, 1, -1, 0, 2, -1, 0, 0, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 0, -2, 2, 1, 0, -1, -1, 0, -1, -1, 2, 1, -1, 0, 1, -1, -1, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, -1, -1, 0, 1, 0, -1, 0, 0, -1, 1, 1, 0, 1, -1, 0, 0, 4, 0, 1, 0, 0, 0, 0, -1, 1, -1, 1, 0, 1, -1, 1, -1, 0, -1, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, -1, 2, -1, -1, 1, -1, 2, 2, -1, -1, 0, -1, 2, 1, -1, 0, -1, -1, 2, 4, -1, 0, -1, 0, -2, -2, 0, -2, 2, 2, -1, -1, 1, 1, 1, 1, 0, 0, -1, 1, 0, -1, 4, 1, 2, 0, 2, 2, 0, 2, -1, 0, 0, 2, 0, -1, 0, 1, 1, 0, -1, -1, 1, 0, 1, 4, 1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, -2, 0, -1, -1, 2, 1, 4, 0, 2, 2, 0, 1, -2, -1, -1, 2, 1, 0, -1, 1, 0, 0, -1, 1, 2, 0, 0, 1, 0, 4, 0, -1, 0, 0, 1, 0, 0, 0, -1, -2, 1, 1, -1, 1, -1, -1, -1, -2, 2, 0, 2, 0, 4, 2, 0, 2, -1, -2, 0, 1, -1, -1, 0, 0, 1, 1, 0, 0, -1, -2, 2, 0, 2, -1, 2, 4, 0, 2, -2, -1, 0, 2, 0, -1, -1, 0, 1, -1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 4, 0, 1, 2, -2, 0, -1, 0, -1, -1, -2, -1, 1, 0, -1, -2, 2, 0, 1, 0, 2, 2, 0, 4, -2, -2, 0, 2, 0, -1, 0, 0, 1, -1, 0, 0, 2, 2, -1, 1, -2, 1, -1, -2, 1, -2, 6, 1, 0, -1, -1, 1, 2, 1, 0, 0, -1, 0, 2, 2, 0, 0, -1, 0, -2, -1, 2, -2, 1, 6, -1, -1, -1, -1, 0, 1, -2, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, -2, 0, 0, -1, 4, -1, 0, -1, 1, -1, 2, 1, 1, -1, -1, -1, 2, 1, 2, 0, 1, 2, 0, 2, -1, -1, -1, 4, 0, 0, -1, 1, 0, -1, -1, 1, 0, 1, 0, 1, 1, -1, -1, 0, -1, 0, -1, -1, 0, 0, 4, 2, 0, 0, 1, 0, 0, 0, -1, 1, -1, 0, 0, -2, -1, -1, 0, -1, 1, -1, -1, 0, 2, 4, -1, 0, 0, 0, 0, 1, 2, 1, 0, 2, -1, 1, 0, -1, -1, 0, 2, 0, 1, -1, 0, -1, 4, 1, 1, 0, -1, 0, 1, 1, 1, 2, 1, 1, 0, 0, -1, 0, 1, 1, -1, 1, 0, 0, 1, 4, 0, 0, -2, 1, -1, 0, 1, 0, 0, -1, 1, 1, -2, 1, 0, -2, 2, 0, 1, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 4, 1, -1, -1, -1, -1, -2, -1, -1, 0, 0, 1, 0, -1, 0, 1, -1, 0, 0, -1, -2, 0, 1, 4, -1, -1, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, -2, 2, 2, -2, 1, 1, -2, 0, 1, -1, 1, -1, -1, -1, 1, 0, 2, 1, 4, -2, 0, 0, -2, 2, 0, 0, 0, -1, -2, 0, 1, -1, 0, 1, -2, 1, 2, 1, 1, -1, -2, 4, -1, 0, 1, 0, -1, 1, 1, 1, 2, 1, -1, 0, 1, 0, 2, 1, -2, -1, 0, 1, 0, -1, 4, -1, 0, 1, 0, 0, 0, 0, -2, 1, 1, 1, 0, -2, 0, -1, 0, -1, 1, 1, 0, 0, -1, 4, -2, 0, 0, -2, -1, 1, -1, 0, -1, 1, -1, -1, 0, 1, 0, 0, 1, -2, -2, 1, 0, -2, 6, 0, 0, 2, -1, 1, 2, 1, 1, 0, 1, -1, 1, 0, -1, 1, -1, 2, 2, 0, 1, 0, 0, 6, 2, -1, -1, 1, -2, 2, 2, 0, 0, -1, 0, 1, 0, 1, 2, 2, 0, -1, 0, 0, 0, 2, 4, -2, 0, 1, -1, 0, 1, -1, 0, -1, -1, -1, 1, 0, 1, -2, 0, 1, 0, -2, 2, -1, -2, 4, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, -1, 0, -1, 1, 0, 1, 0, -1, -1, -1, 0, 0, 4, -1, 1, -1, -1, -2, 1, 0, -1, 0, 1, -1, 1, 1, -1, 1, 0, 1, 1, 1, 1, 0, -1, 4, -1, 1, 0, 1, 1, -1, 1, 0, -1, -1, 1, -2, -2, 2, -2, -1, 2, -2, -1, 2, 1, -1, 6, 0, 0, -1, 1, 1, 1, 0, -1, 0, -1, 0, 0, 1, 1, 0, 1, 2, 0, 0, -1, 1, 0, 4, 1, 0, 1, -1, 0, 0, -1, 0, 1, 1, 1, -1, 1, -1, 1, 2, 1, 0, -1, 0, 0, 1, 4, 0, 1, 0, -1, 0, 1, 1, 1, -1, -1, 0, 1, 1, 0, 0, -1, 0, -2, 1, -1, 0, 0, 4, -2, -1, 1, 1, -1, -1, 0, 1, 0, 1, 0, -1, 1, 0, 0, 1, 1, 1, 1, 1, 1, -2, 4, 1, 0, -1, 0, 0, 1, -1, 1, 0, -2, -1, -1, -1, -1, 1, 0, -1, 1, -1, 0, -1, 1, 4, 0, 0, 0, 1, -1, -1, -2, 2, 0, 0, 1, 0, -1, 1, -1, 1, 1, 0, -1, 1, 0, 0, 4, 0, -2, 0, -1, -1, 1, 1, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4, 0, 0, 1, 1, 2, -2, 0, 0, -1, 0, 1, -1, 1, -1, -1, -1, 1, -1, 0, 0, -2, 0, 4, 1, 1, 0, 1, -1, -1, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, -1, 0, 1, 0, 0, 1, 4, -1, 2, 1, 0, 1, 1, -1, 2, 1, -1, 1, 1, -1, 1, 1, 0, 1, -1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 1, -1, 1, -1, -1, -1, 2, 2, 1, 2, -1, 1, 0, -1, 1, 1, 1, 2, 6, -2, -1, 2, 3, -3, 2, 1, 0, 2, 1, -1, 2, 1, 1, -1, -2, -1, -2, 2, 0, 0, -2, 4, -1, -2, -2, 1, 0, -2, 1, -1, 0, 0, -1, -1, -1, 2, 2, -1, 0, 0, 0, 0, -1, -1, 4, -1, 0, 1, -1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, -1, 1, 0, 2, -2, -1, 4, 1, -2, 0, 0, -1, 1, 0, -2, 1, -1, 1, -1, -2, -1, -2, 0, 0, 1, 3, -2, 0, 1, 4, -2, 0, 1, -1, 0, 1, 1, 2, 1, 0, -2, -2, -1, -1, 1, 1, -1, -3, 1, 1, -2, -2, 4, 0, 0, 1, 0, -1, 0, -2, 0, 0, 0, 2, 2, 2, -1, -1, 1, 2, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, -1, 1, -2, 1, 0, 1, 0, 0, 4, 1, 2, -1, 0, 0, 1, 0, -1, -1, 1, -1, 0, -1, -1, 0, 1, 0, -1, -1, 1, 1, 1, 4, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, -2, -1, 2, -1, 1, 1, 0, 0, 0, 2, 1, 6, -2, -2, 0, 0, 1, 0, -1, 0, -2, 0, 0, 2, 1, 0, 0, 0, 1, -1, 0, -1, 0, -2, 4, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 2, -1, 0, 2, -2, 1, 0, -1, 0, 0, -2, 1, 6, 1, 3, -2, 1, 1, 0, 3, 1, 2, 1, 2, -1, 0, 1, 2, -2, 1, 0, 0, 0, 0, 1, 4, 0, 0, -1, -1, -1, -1, 1, 1, 2, 1, -1, 2, -1, 1, 0, 0, 1, 0, 0, 1, 3, 0, 4, -1, 0, 0, 1, 2, 0, 1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, -2, 0, -1, 4, 0, 0, 0, 0, 0, 0, 1, -1, 2, 0, -1, -2, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 4, 1, -1, 1, 1, 1, 0, -2, 2, 1, -2, -2, 2, 1, -1, 1, -1, 0, 1, -1, 0, 0, 1, 4, 1, 2, 0, 0, -1, -1, -1, 1, -1, -1, 2, 1, 1, 1, 0, -1, 0, -1, 1, 0, -1, 1, 4, 1, -1, -1, 1, -2, 0, 2, -2, -1, 2, -1, -1, -1, -2, 0, 3, -1, 2, 0, 1, 2, 1, 6, 1, 1, 1, 2, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 4, 0, 1, 0, 0, 1, 0, 1, -1, -1, -1, -2, 0, 0, 2, 1, 1, 0, 1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 2, -1, 1, -1, 0, -1, 1, 0, 1, -2, 0, 0, -1, 1, 1, 2, 1, 2, 1, 4, 0, 0, 2, 0, 2, 1, 0, -2, 0, -1, 1, -1, 0, 1, 1, 2, 2, 2, -1, -1, -2, 0, 4, 0, 0, 0, 0, 2, 0, -1, 0, 1, 0, 2, -1, 1, 2, 0, 1, -1, 0, -1, -1, 0, 0, 4, -2, 2, 1, -1, -1, 2, -2, 0, -1, 1, -1, 1, 1, 0, -2, 1, -2, 1, 2, 2, 0, -2, 6, -3, 2, 2, 1, -1, 0, 1, 0, 0, 2, -1, 0, 0, 1, 1, 2, 1, -1, 0, 0, 2, -3, 4, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, -2, 0, 1, 2, 0, 1, 2, 0, 4, 1, -1, 0, -1, 1, 1, -1, 1, 0, 1, 0, 0, 2, 0, 0, -1, 1, 2, -1, 2, -1, 1, 4, 1, 0, -1, 1, 1, 1, 0, -1, 1, 0, 0, 0, 0, -2, 0, 0, 0, -1, 1, 0, -1, 1, 4, -1, 0, 0, 0, 1, 0, -1, -1, 1, -1, 1, -1, -1, -1, -2, -1, 2, -1, 0, 0, 0, -1, 6, -3, 1, 0, 1, 0, 0, -1, -1, -4, -1, 1, 0, 1, 0, 0, -2, 0, 0, -1, -1, 0, -3, 4, 0, 0, -1, 0, 0, 0, 0, 2, -1, 1, 1, 0, -1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 4, 1, 0, 0, 0, 0, -2, -1, -1, 2, 1, 1, 1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, 4, -1, 0, 0, -1, 1, 1, 0, 0, -2, -2, -1, 2, 1, 0, 0, -1, 1, 1, 1, -1, 0, -1, 4, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 4, -2, -1, -1, 0, -1, 0, 0, 0, 1, 1, 1, -1, 1, 0, -1, -1, 0, 0, 0, 0, 0, -2, 4, 1, 1, 1, 1, 0, 0, -1, 1, 2, 1, 0, 1, 1, 1, -1, -1, 0, 0, -1, 1, -1, 1, 4, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, -1, 1, 0, 4, 1, 2, -1, -1, 1, 2, 1, -2, 1, 0, 0, 0, -1, -4, 2, -1, 1, -1, 0, 1, 1, 1, 6, 0, 0, 0, 2, 2, -1, 1, 1, 1, 2, 0, 1, -1, -1, -1, 0, -1, -1, 1, 0, 2, 0, 6, -1, 0, 1, -1, 0, -2, 2, -2, 0, 0, -1, 1, 1, 2, 0, -1, 0, 0, 0, -1, 0, -1, 6, 1, 2, -1, -1, 1, 1, 0, 0, -2, -1, 0, 1, 1, -2, 0, 0, 0, 1, -1, 0, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 0, 1, 0, 1, 2, -1, -1, 1, -1, -1, 1, -1, -1, 1, 0, -2, -1, -2, 0, 1, 4, -2, 0, 0, 0, -1, -1, 1, -1, 2, 0, -1, 1, 0, -1, 1, 0, -1, 0, -2, 1, -2, -2, 6, -2, -1, 2, -2, -2, 1, 3, -1, -1, 1, 1, 1, 1, -2, -2, -1, -1, 2, 1, 0, 0, -2, 4, -1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 2, 0, 0, -1, -1, 1, 0, -1, -1, 4, -1, 2, 1, -1, -2, 0, 1, 1, 0, -2, -1, 1, 1, 1, 1, -1, -1, 0, 0, 2, -2, -1, 4, -1, -1, 0, 2, 0, 0, -1, 1, 0, -1, -2, -2, -2, 0, 0, 2, 1, -1, -2, 0, 2, -1, 4, 1, -1, -1, -1, 1, 1, -1, -1, 0, 1, 1, 1, 1, -1, -2, 2, -1, -2, 0, 1, -1, 1, 4, -2, -2, 0, 0, -1, 0, -1, -1, 1, 0, 1, 0, 0, -1, -1, 1, 1, 0, -1, 0, -1, -2, 4, 2, 0, -1, 0, 1, 0, 0, -1, 1, 0, -1, -1, 1, -1, -1, 3, 0, -2, 2, -1, -2, 2, 6, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, -1, 1, 1, 2, -1, 0, 0, 0, -1, 0, 0, 0, 4, 1, -1, 0, -1, 0, 0, 0, -2, -1, -1, 1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 4, 1, -2, 0, -1, 1, 1, 1, 2, -1, -1, -1, -1, 1, 0, 1, -1, 1, -1, 0, 0, -1, 1, 4, 0, 0, 1, 0, 1, 0, 1, 0, -2, 1, 1, 1, -1, 0, 1, -1, 0, 1, 0, 0, -2, 0, 4, -1, 0, -1, -1, -2, -1, 0, 1, -1, 0, 1, 1, -2, 0, -1, -1, 0, 0, -1, 0, 0, -1, 4, 0, 0, -1, 1, 0, 0, 0, -1, -1, 1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 4, 0, 0, -1, -1, 2, 0, 1, 1, -2, 1, 1, -2, 1, 1, -1, -1, 0, 1, 0, -1, 0, 0, 4, 1, 1, 1, -1, -1, 0, 0, -2, 2, 1, -2, 1, 0, 1, 0, 0, 1, 1, -1, -1, 0, 1, 4, 1, 1, -1, -1, -2, -1, -1, 0, 1, -2, 1, 1, 0, -2, -2, 1, 0, -2, 1, -1, 1, 1, 6, 1, 1, -1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 2, 1, -1, 0, -1, 1, 1, 1, 4, 0, -1, -2, -2, 2, -1, -1, 0, -1, 0, -1, -1, -1, -1, 0, 0, 0, 2, -1, -1, 1, 0, 6, 0, 0, 1, 1, -1, -1, 2, -2, -1, 1, 1, 1, -1, -2, 1, 0, 0, -1, -1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 0, 2, -2, 1, 1, -1, -1, 1, 0, -1, -2, -1, -1, 1, 1, -2, 1, 1, 4, 0, 0, 0, 0, 0, -1, 2, -1, -2, 0, 2, 1, 0, -2, 1, -2, -1, 2, -1, 2, -1, 0, 4, -2, 0, 0, 0, -1, 1, -1, -1, 0, 0, -1, 0, 1, 1, -1, -2, 1, -1, -1, 2, 0, -2, 6, 1, 2, 2, 1, 1, 2, -2, -1, 2, 0, 1, -3, -1, 1, 2, 0, 1, 0, -1, 0, 0, 1, 4, 2, -1, 2, 0, 1, -1, 1, 1, 1, 2, 1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 4, 1, 1, 0, 2, -2, 0, 1, -1, 2, -1, -1, 0, 0, 0, 2, 0, 2, 0, 0, 2, -1, 1, 4, -2, 0, 2, -2, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 1, 2, 1, -2, 4, 0, 0, 1, 1, 0, 0, 1, 1, -1, 1, 1, -1, 2, -1, 1, 2, 1, 1, 0, 0, 0, 0, 4, -1, -2, -1, 2, 0, -1, -2, 0, -2, -1, 2, -2, 1, 1, -1, -1, 2, 1, 2, 2, 0, -1, 4, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 2, 0, -1, -2, -1, -2, -1, -2, -2, 1, -2, -1, 6, 0, -3, 1, -1, 2, -1, 2, 1, -2, -1, 0, -1, 0, 0, -1, 1, 0, -2, 1, -1, 0, 0, 4, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, -3, 1, 4, 1, 1, -2, 1, -1, 0, 1, 0, 1, 0, 1, -1, 0, 1, -1, -1, 0, 0, 0, 1, 1, 1, 4, 1, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 2, 2, 0, 1, -1, 1, -1, 1, 1, 1, 4, 1, 0, 0, 1, 0, 3, 0, -2, -2, 1, -3, 1, -1, -1, 1, -2, 0, 2, 0, -2, 0, 1, 6, -1, 0, 0, -1, 2, -1, -1, 1, 1, -1, -1, -1, 0, -1, 0, -1, -1, 1, 1, 1, 0, -1, 4, 0, -1, 0, 0, 0, -1, -2, -1, 1, 0, 0, 0, 1, -2, 0, 2, 0, -1, 0, 0, 0, 0, 4, 1, -2, 1, -1, 1, -1, -2, 2, 0, 0, 0, 1, -1, 1, 1, 1, 0, 1, 1, 0, -1, 1, 4, -1, 1, 0, 1, 2, 1, 0, 0, 0, 0, -1, 2, 0, -2, 0, 1, 0, 0, -1, 0, -2, -1, 4, 0, 1, -2, -1, -1, 1, 2, 2, 0, 2, -2, 2, -1, 1, 0, 0, 3, 2, 0, 1, 1, 0, 6, -1, 1, 2, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 1, 0, -1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, -1, -2, 0, 0, 0, -2, -1, 2, 0, -1, 1, 1, -1, 2, -1, -1, -2, 2, 2, -2, 4, -1, 2, 0, 0, 1, -1, 2, 1, -2, 0, 1, 0, -2, -1, -2, 2, -1, 2, -2, 0, 1, -1, 4, 1, -2, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 0, 2, -2, -1, -1, -1, -1, -1, 2, 1, 4, -1, 0, 1, -2, 2, 1, -2, 0, 1, 1, -1, 0, -1, 0, -1, 2, -2, -1, -2, 0, -2, -1, 4, -1, 0, 1, 0, -1, 0, 1, 1, -2, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1, 0, -1, 4, -2, -1, 2, 0, 0, -2, 1, 0, -1, 1, 0, 0, -1, 1, 0, -2, 0, 1, -1, 1, 0, -2, 4, 1, 0, 0, -1, 2, 0, 1, -1, 0, -1, 1, 0, 1, -1, 2, 0, -1, -1, -2, 1, -1, 1, 4, -2, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 2, -2, 2, 1, 2, 0, 2, 0, -2, 6, 0, -3, 0, 0, 1, -2, 0, -1, 0, 0, 3, -3, -3, -1, 1, 1, 1, -1, 0, 0, 0, 0, 4, -2, -1, 0, 1, 0, 0, 1, 1, 0, 1, -2, 0, 2, -2, -1, -2, 0, 0, -1, 0, -3, -2, 6, -1, -1, 0, 0, 0, 1, 0, 1, -1, 3, 0, 0, 0, -1, 0, 1, -2, 2, 1, 0, -1, -1, 4, -1, -1, 0, 0, -1, 0, 0, -1, -1, 1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, -1, -1, 4, -1, 0, 0, -1, 1, -1, 2, 1, 1, 1, 0, 1, 1, -2, 0, 1, -1, 1, 1, 0, -1, -1, 4, -1, 0, 1, 0, 0, 1, 0, 0, 1, -2, 1, -1, 0, -1, -1, 0, -2, 0, 0, 0, 0, -1, 4, -1, 1, -2, 1, -2, 1, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, -1, 2, -2, 2, -1, -1, 0, -1, 0, -1, 1, 1, -1, -1, 1, 1, 0, 4, -1, 0, -1, 1, 1, -1, 2, -2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, -2, 0, -1, 4, 0, 2, 0, 1, -1, -1, -1, -1, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 4, 0, 0, -1, -2, 2, -1, 2, 1, 1, 1, -1, 3, 1, -1, -1, 2, 1, -2, 0, -1, 2, 0, 6, -1, -1, 2, -2, -1, -2, 0, 0, -1, 0, -3, -2, 3, -1, 1, 0, 1, 0, 1, 0, 0, -1, 6, 1, 2, 0, -1, -1, 0, -2, 2, 2, -3, 0, 0, 1, 1, 0, 1, -1, 1, 1, -1, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 2, 0, -1, -1, -1, -1, 0, 1, 1, -1, -2, -1, 0, 0, -1, -2, 2, 1, 2, 4, 2, -1, 1, 0, -2, -1, -1, 1, 0, 2, 1, -1, -2, 0, -1, -1, -1, 0, 1, 1, 1, 2, 4, 1, 2, 0, -1, 1, 1, 2, 0, 1, -1, 1, -1, 0, -2, 1, -2, 0, -1, -1, -1, -1, 1, 4, 1, -1, 1, 1, 1, 0, -1, 0, -1, 2, 1, 0, -2, 2, 0, -1, -2, -1, 2, 1, 2, 1, 4, -1, 0, 0, 0, 1, -1, 1, 0, 0, -1, -1, -1, 2, -1, -2, 1, -1, 0, 0, 0, -1, -1, 4, -2, 0, 1, 0, 2, -1, 0, 0, -1, -1, 0, -1, 1, -1, 0, 0, -1, -2, -1, 1, 0, -2, 4, 1, -1, 0, -1, -1, -1, 0, 2, 0, 1, 1, 0, 0, 0, -1, -1, -1, 1, 1, 0, 0, 1, 4, 2, 2, 1, 0, -1, 1, 1, -1, -1, 0, -1, 0, 0, -1, -1, -1, 1, 1, 0, 1, -1, 2, 6, 2, 2, -2, -2, 2, 1, 1, 0, 1, 1, 1, 0, -1, -1, 1, 2, 0, 1, 0, 0, 2, 2, 6, 0, 0, -2, 1, -1, 0, 0, 1, 0, 2, 0, -2, 0, 0, 0, -1, -1, 2, -1, 1, 2, 0, 4, -1, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 1, 2, 1, 0, 1, -1, -1, 0, -2, 0, -1, 4, 2, 0, -1, 0, -2, -1, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, -1, -1, -2, -2, -1, 2, 4, -1, 0, -1, 0, -1, 0, 0, 2, 2, -1, -1, 1, 2, 0, 0, 0, 1, 2, 1, -1, 0, -1, 4, 0, 1, -1, 1, 0, 1, -1, -1, -2, -2, -1, 1, -1, -1, 2, 1, 1, -1, 0, -1, 0, 0, 4, 0, 0, 0, 1, 1, -1, 0, -1, 0, 0, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 4, 1, 0, 0, 2, -1, 0, 0, -1, -2, -2, -1, 0, 1, -1, 0, 0, 0, -2, 0, -1, 0, 1, 4, 0, 1, 1, 2, 1, 0, -1, 1, 2, 2, -1, 1, 0, 1, 1, -1, -1, -1, 1, 0, 0, 0, 4, 0, 0, 0, -1, -1, -1, -2, 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 4, 0, 0, 0, -2, 0, 0, -1, -2, -1, 0, 0, 1, 2, -1, 0, 0, 1, 1, 2, 1, 0, 0, 6, 0, 0, 2, 1, -1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, -1, 2, 0, 0, 0, 6, 1, 1, 1, -1, -1, -1, 0, -1, -1, -1, -2, 0, 0, 2, -1, 0, 0, 1, -1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, 2, -2, 0, -1, 0, 0, 1, 0, 0, -1, 0, -2, -2, -2, -1, 1, 1, 4, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 0, -1, 0, 0, 1, -1, 1, 1, 0, -1, 2, 0, 4, -2, 0, -1, 2, -1, 1, -1, 1, 1, 0, 0, -1, 0, -1, -1, -2, -2, -1, 2, -2, 0, -2, 4, -1, 2, -2, 1, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, -2, 1, 0, 0, -1, 4, 1, 1, -2, -1, 1, 1, -2, -1, -1, -1, 1, -1, -1, -1, 1, 1, 0, -1, 0, -1, 2, 1, 4, -1, -1, -2, 2, 0, 0, 0, 0, -1, 2, -1, 0, 1, 2, 0, -1, 2, 1, 2, -2, 1, -1, 4, -2, 1, 0, 1, 0, 1, -1, 0, -1, 0, -1, -2, -1, 0, 1, -2, 0, -1, 1, -2, -1, -2, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, -1, 0, 1, 1, -1, -1, -2, 1, 1, 4, -1, 0, 1, 1, -1, 0, -1, 1, 0, 0, -1, -1, 1, -1, 0, -1, 1, 1, 2, 0, 0, -1, 4, 1, -1, 0, 1, -1, 1, -1, 1, 0, 1, 1, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 1, 4, -2, -1, -1, 1, 1, 0, 0, -1, -1, 1, 0, 0, 1, 1, 0, -2, 0, 0, 0, 1, -1, -2, 4, 1, 0, -1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, -1, 1, 4, 1, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, 1, -1, 1, -1, 0, 1, 4, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 1, 0, -1, 1, -1, 0, 0, 4, -1, 2, 0, 1, 0, 0, -2, -1, 0, 0, 1, 1, 2, -1, 0, -1, 1, 1, -1, -1, 0, -1, 4, 0, 1, 1, 2, 0, -1, 0, 1, -1, 1, -1, -1, 0, 0, 1, -1, 0, 0, 0, -1, 2, 0, 4, 0, 1, 0, 0, -1, -2, -1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 4, 1, 1, 1, 0, -2, 1, -2, 2, -1, 1, -2, 2, 0, 0, -1, 0, 0, 0, 1, 1, 1, 1, 4, 2, 0, -2, -2, 1, -2, 1, 1, 2, -1, 1, -1, 1, -1, -1, -1, 0, 0, 2, 0, 1, 2, 6, 1, -2, -1, 0, -1, 0, 1, 0, 0, 0, -1, 1, 1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 4, -1, 1, -1, 2, -2, 0, -1, 1, -1, 1, 0, 0, 1, 0, 0, -2, -1, -1, 0, -2, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, -2, 0, -1, -2, 0, 1, 1, -1, -1, -2, -1, 2, -2, -2, -2, 2, -2, 4, 1, -1, 2, 1, 2, 1, 0, 2, 1, 0, -2, 1, 1, 1, 0, -2, 0, 0, 2, 0, 0, 1, 4, 1, 1, 2, 1, -1, -2, 2, 0, -1, -2, 1, -1, 0, 0, -1, 1, -2, 2, -1, 1, -1, 1, 4, -1, 1, -1, -1, 0, 1, -1, -1, 1, 1, 0, -1, 1, 1, 1, -1, 1, 1, -2, 2, 1, -1, 4, 2, 2, -1, 0, 2, 0, 0, -2, 1, 0, 0, 0, -2, 0, 0, 1, 0, -1, 1, 2, 1, 2, 4, 1, -2, 0, 1, 0, 0, -1, 2, 0, 0, 0, -1, 0, 0, 2, 0, -2, 2, 1, -1, 2, 1, 4, 1, 1, 2, 0, 0, -2, 1, 0, 2, 0, -2, 0, 1, 1, 0, 0, 1, -1, -1, -1, -2, 1, 4, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, 1, -1, 0, -2, 0, 0, 0, 1, 0, 4, -1, 0, 1, 1, 1, 1, 1, 0, 0, -1, 1, 0, 1, -2, 2, 2, 1, 2, 1, 2, 0, -1, 6, -1, -2, -2, 1, -1, 0, 2, -1, 3, -1, 1, -2, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 4, 2, 0, 0, -1, 1, -2, 0, -2, -1, -1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -2, 2, 4, 1, -1, 0, 1, -1, 1, -2, -1, -1, 1, 1, -2, -2, 1, -2, -1, -2, 0, 1, -2, 0, 1, 4, 0, 1, 0, 0, 1, 0, 1, -1, 1, -1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, -1, 0, 4, 1, 0, 0, -2, 0, 1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 1, -1, -1, 0, 1, 1, 4, 0, 0, -1, 1, 2, 1, 1, -2, 1, 0, -1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 4, 0, -1, 0, 1, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 2, -2, -1, 0, 0, 0, 0, 4, 0, 3, 0, 2, -2, 2, -2, -1, 1, -2, -1, -2, -1, 0, -1, 0, 1, 1, -2, -1, -1, 0, 4, 0, -1, -1, 0, -2, 0, 1, 1, 0, 0, 0, -1, -1, 3, -2, -2, 0, 0, 1, 0, 3, 0, 6, 0, 2, -3, -2, 0, -2, -1, 0, 0, 1, 1, 1, -1, -1, -1, 1, 1, 2, 1, 0, -1, 0, 6, 1, 0, -2, 2, 2, 1, 1, 2, 1, -1, 0, 1, -1, -1, -1, 1, 1, 1, 2, -1, 2, 1, 6, -2, 2, 0, -1, 1, 0, 0, 0, 1, 1, -2, 1, 1, 1, 1, 1, -1, -2, 0, -3, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 2, 2, 0, 0, 0, -1, -1, -1, 0, 0, -2, -2, -1, 2, 1, 1, -1, 0, -2, 4, -2, 2, -1, 0, 1, 1, 1, 1, -1, 2, 0, 0, 0, 2, -1, -2, -2, -2, -1, 1, 2, -2, 4, -2, 2, 1, 1, 1, -1, 0, 1, -2, -1, 0, -1, -2, 1, 2, 2, 2, 0, 0, -2, 2, -2, 4, -2, -1, 0, 1, 0, 1, 0, 2, -1, -1, 2, 1, 0, -2, -1, -2, -1, 1, 2, -1, 2, -2, 4, 2, 1, 1, 0, -1, -1, -2, -1, 1, -1, -1, -1, 2, 0, 2, 0, -1, 2, 0, 1, -1, 2, 4, 0, 0, 0, 0, -2, -1, 0, 1, -2, 0, -1, 1, 0, 1, -1, 1, 0, 1, 1, 0, 1, 0, 4, 2, 1, -1, -1, 1, 0, 1, 1, -1, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 1, 0, 2, 4, 1, 1, -1, 1, -1, -1, 1, -1, 0, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 1, 4, -1, -2, 2, 1, 0, -1, 0, 0, 0, 0, -2, 0, 0, -1, 1, 0, 1, -1, 0, -1, 1, -1, 4, 0, 1, 0, -2, 1, 0, 1, 0, 0, -1, -1, 0, -1, -1, 1, 0, -1, -2, -1, -1, -2, 0, 6, -2, -1, 0, 0, 0, 2, 0, 0, 0, 1, 1, -1, 2, -2, 2, -2, -1, 1, 1, 2, 1, -2, 6, 0, -2, 0, 0, 1, -2, -1, -4, -1, 1, 0, 0, -1, -1, -1, 0, 0, -1, 1, 0, -1, 0, 4, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 0, -2, 0, -2, 0, 4, -1, 1, -1, 0, -1, 1, 1, 0, -2, 0, -1, 2, -1, -2, 1, 1, -1, 1, 0, 0, 1, -1, 6, -1, 0, -2, 1, 0, -1, -1, -2, 2, -2, 1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 1, -1, 4, 0, -1, -2, 0, 1, 1, -1, -1, 1, 0, -1, -1, 0, 0, 0, 1, 2, 1, 0, -1, 0, 0, 4, 0, 1, -1, 1, 1, 2, -2, 2, -2, 2, 1, -1, 0, 0, 0, 0, -2, -1, 0, -2, -1, 0, 4, 1, 2, 1, -1, 1, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, -2, 1, 1, 4, 1, 0, 0, 1, -2, 2, -2, 2, 1, -1, -1, -2, -1, 0, -4, 0, 1, 0, 0, -1, 2, 1, 6, 2, -1, -1, -1, 0, -1, 0, -1, -1, -1, 0, -1, 1, -1, 0, 1, -1, 1, 1, 1, 0, 2, 4, -1, 0, 1, 0, 1, -1, 1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, 1, -1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 2, -1, -1, -2, 1, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, -1, 0, 0, 0, 4, -1, 1, 0, -1, -2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, -2, -2, -1, -2, 1, -1, 4, 0, -1, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, 1, -1, 1, 2, 2, 2, 2, -2, 1, 0, 4, -1, 1, 0, 1, -1, 1, 0, 0, -1, 1, 0, 1, -2, 0, -1, 1, -1, -1, 2, 0, -1, -1, 4, -1, 0, -2, -1, -1, -1, 1, -1, -1, 0, -1, 1, 1, 0, -2, -2, -1, -1, -1, -1, 1, -1, 4, 1, 1, -2, 1, -1, 0, 0, 2, -1, 0, -1, -2, 0, 0, 0, -1, -1, -2, 1, 0, 0, 1, 4, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 2, 0, 0, 0, -2, 0, 0, 1, -2, 1, 0, 4, 1, 0, 1, 1, 0, 1, 1, 1, -1, 0, 0, 1, 2, 0, 1, 2, 1, -1, -1, -2, -1, 1, 6, -1, 2, -1, 1, -1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, -1, 1, 0, 0, -1, 4, -1, -1, 1, 2, 0, -1, 1, -1, -1, 0, -1, -2, 0, 0, 1, 0, -1, -1, 0, 1, 2, -1, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, -1, 4, -1, -1, 0, 1, -1, 1, 0, -1, 0, -1, 1, 1, 1, -1, -1, 0, 0, 0, 1, 1, 0, -1, 4, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, -1, 2, 0, 1, -1, 2, 0, -1, 1, 4, -1, 0, 0, -1, -1, 0, 1, -1, -1, 2, -1, 0, 0, -1, 0, 1, 2, 0, 0, 0, 1, -1, 4, 0, 0, 1, 0, -1, -1, -1, -1, 1, 1, 1, -1, 0, 1, 1, 1, -1, 0, 1, 0, 0, 0, 4, -1, 1, 0, 0, 1, 0, 2, 0, -1, -2, 1, -1, -1, -1, 1, 1, 0, -1, 1, 0, 0, -1, 4, 0, -1, -1, 0, 0, 1, 2, 1, 0, 1, -2, -1, 0, 2, -1, 0, 1, 1, -1, 1, 1, 0, 4, 0, 0, 1, 0, 0, -2, 2, -1, 0, 0, 2, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 4, 1, 1, 2, -1, -2, 2, 1, -2, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 1, 6, 3, 3, 0, -1, 2, -1, -2, 0, 0, 2, 1, -1, 1, 0, 2, 1, -1, 1, 0, 1, 1, 3, 6, 2, 0, -2, 2, -1, -1, -1, 0, 0, 1, -2, 2, -1, 0, -1, -1, 0, 0, 0, 2, 3, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 0, 0, 1, -1, -2, 2, 0, 0, 1, 2, 1, -1, 1, 0, 2, 1, 0, -1, -2, 4, 2, 1, -1, -1, -1, -1, 0, -1, 0, 1, -2, -2, 1, 0, -1, 0, -1, 0, 1, 2, -2, 2, 4, -1, -1, 0, 0, 0, 2, 0, 0, 0, -2, -2, -1, 1, 0, 1, 0, -1, -1, 0, 0, 1, -1, 4, 0, -2, -2, -2, -1, -2, 0, 2, 0, 0, 1, 1, -2, 1, -2, 2, 1, 1, 0, -1, -1, 0, 4, 0, 1, -1, -1, 0, -1, 0, 1, 1, -2, 1, -1, 0, 1, 0, 0, -1, 0, -1, 0, -2, 0, 4, 2, 0, 2, 2, 1, -2, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, -1, 0, -2, 1, 2, 4, 0, 1, 3, 1, -2, 1, 0, 0, -1, 1, -1, 1, 0, 0, -1, -1, -1, 0, -2, -1, 0, 0, 6, 0, -1, 1, -2, 0, 0, 0, -2, 2, -2, -1, -3, 0, 0, -2, 0, 2, -1, -1, 2, 1, 0, 6, 0, 0, -1, 0, -2, 0, 1, 1, 1, -2, 1, -2, 0, 2, -1, 0, -2, 0, 2, 3, -1, 0, 6, 1, -2, 1, 0, 0, -1, 2, -1, 1, 1, -1, -2, 0, 0, 0, 0, -1, 1, 1, 1, 0, 1, 4, -2, 1, -1, 1, -1, 1, -1, -2, 1, 0, 0, 0, 1, 0, 2, 0, -2, -2, -2, -1, -2, -2, 4, -1, 1, 0, 1, -2, 2, 0, 1, 1, 1, 1, -2, -2, 0, 1, 0, 1, 0, 0, 1, 1, -1, 4, 0, 0, 0, 1, -1, 0, 2, 0, -1, 2, -2, -2, 0, 1, 0, 0, 0, -2, 0, -1, 1, 0, 4, -1, -1, 0, 1, 1, -1, 1, 0, 1, 1, -1, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, -1, 4, -1, 0, -1, -1, 1, 1, 1, -1, 0, 1, 1, 1, 0, -1, -2, 1, -1, -1, 1, 0, -1, -1, 4, -1, 1, 0, 1, -1, 0, 1, -1, 0, -2, -1, 1, 1, 2, 1, 2, 1, -2, 1, 0, 0, -1, 4, -1, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, -2, 1, -1, -1, 2, -1, 1, -1, 1, -1, 4, 0, 1, 0, 0, 2, -1, 0, -2, 1, 0, 1, -1, -2, 1, -2, 0, 0, 1, -1, 0, 0, 0, 6, -2, 0, -1, 1, 0, -1, 2, 0, 0, 0, -3, 1, 1, 1, 1, 2, -1, 1, 1, 0, 1, -2, 6, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, -2, -1, 0, 1, 0, 1, 1, -1, -1, 0, 0, 0, 4, 1, -1, 2, 0, 1, -1, 0, -1, 0, 0, -2, 0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 2, -2, -1, 1, 2, -2, -2, -2, 1, 1, 1, -2, -1, -1, 1, -2, -1, 0, 1, 4, 1, -1, 0, -1, 1, 1, 2, -1, -1, -1, -1, 1, 2, 1, 0, 1, 0, -1, -1, 1, 0, 1, 4, 1, 1, 1, 2, 1, -1, 1, -1, -1, -1, 2, 0, 1, 0, 2, -1, -1, -2, 2, -2, -1, 1, 4, -1, 2, 1, -1, -1, 2, 1, 1, -1, -1, -1, 2, 1, 2, -2, 0, 1, 1, 2, 0, 1, -1, 4, 0, 0, 0, 1, 0, -1, -1, 1, 1, -1, -2, -1, -1, 0, 0, -2, 1, -2, -1, 1, 2, 0, 4, 2, -1, -2, 2, 0, 1, -1, -1, -1, 0, 0, 0, -2, 2, 1, 1, -1, 1, 2, 1, 0, 2, 4, 1, -1, 1, 0, -1, -2, 1, 1, 0, 0, 0, -1, 1, -1, 2, 1, 1, 1, -1, 0, -1, 1, 4, -1, -1, -1, -1, 0, 2, 1, -1, -1, -1, 1, -2, 0, 1, 2, 2, -1, -1, 1, -2, -1, -1, 6, -2, 0, 0, 1, -1, 1, 1, -1, 0, 1, -1, -1, 0, -2, -1, 1, 2, 0, 2, 1, -1, -2, 4, 1, 0, 0, -1, -1, 0, 0, 0, -2, 2, 1, 1, -2, -1, -1, 1, -1, 0, 0, -1, 0, 1, 4, 2, -1, -1, -1, 2, 1, 1, -1, 1, 1, 0, -2, -1, -1, 1, -1, 1, -1, -1, 0, 0, 2, 4, 0, -1, -1, 2, 1, 1, -1, 1, 1, 0, 1, -1, -1, -1, 1, -1, -2, 0, 1, 0, -1, 0, 4, -1, 0, -2, -2, -1, 1, 0, 1, 0, 1, 1, 2, -1, 1, -1, 1, 2, -1, -1, -1, -1, -1, 4, 0, 0, 1, 0, 1, -1, -3, 1, 1, 2, 0, -1, -1, -1, 1, 1, 1, -1, -1, -1, 0, 0, 4, -1, -1, 0, 0, -1, 0, 1, -2, 1, 1, 2, -2, 0, 0, -1, 1, 0, 2, 2, -2, 0, -1, 6, 2, 3, -1, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 1, 1, -2, 1, -1, 2, 4, 1, -1, 0, -1, -1, -1, 1, 2, 2, -1, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0, 3, 1, 6, -1, -1, 0, 1, 1, 0, -1, -2, 0, -2, -1, 1, 1, -2, -1, -1, 1, 1, 0, -1, -1, -1, 4, -1, -1, -1, -2, -1, -1, 0, 0, 2, 1, -2, -1, 2, 1, 1, 0, -1, -1, 0, 0, -1, -1, 6, 1, 0, -1, -1, -2, 1, -2, 1, -1, 0, -1, 1, 1, 1, 1, -3, 0, 0, -1, 0, -1, 1, 6, -1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, -1, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, -2, -1, 1, 1, 0, 0, -2, 0, 2, -2, 0, 2, 2, 1, 0, -1, 0, -2, 4, 2, -1, 1, 2, 2, 1, -2, 1, 1, 2, 0, -1, 1, 0, 0, -1, 1, 1, 1, -1, -2, 2, 4, -1, 2, 2, 0, -1, -2, -1, 0, 0, 0, -2, 2, 1, -2, 0, -1, 1, 1, -1, 1, -1, -1, 4, 1, -1, -1, -1, 1, 1, -1, -2, -1, 2, -1, -1, 2, 2, -1, 1, -2, 2, -1, 1, 2, 1, 4, 1, 0, -2, -1, 1, 0, 0, 0, -1, 1, -1, -1, 0, -2, 2, -1, 1, -2, 2, 2, -1, 1, 4, 1, 1, -2, -1, 0, 2, 0, -2, 2, 1, 0, 0, -1, 1, 1, -1, -1, 2, 0, -1, 0, 1, 4, 2, -1, 2, 0, 1, -1, 0, 0, 0, 1, -1, 2, 0, 1, -1, 1, 1, -1, -1, -2, 1, 2, 6, -2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, -1, 1, -1, 1, -2, -2, 1, -1, -2, -1, -2, 4, 0, 0, -1, -1, 2, -1, 0, 1, 0, 1, 0, 0, 1, 0, 1, -1, 1, 1, -1, 2, 0, 0, 4, 0, 0, -1, 1, -1, -2, 1, -1, 1, 1, -1, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 4, 2, 2, 0, 1, -1, -1, 0, 1, 0, 0, 0, -2, 2, 0, -2, 0, 2, 1, 0, -1, 0, 2, 6, 2, -1, 1, -1, -2, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1, -1, 2, 2, 4, -1, 0, 0, -2, 0, -1, 0, 0, 0, 2, -1, -2, 2, -1, -2, 0, 0, 2, 1, 0, -1, -1, 4, -1, 0, 2, 1, 2, 0, -1, 1, -2, 1, 2, -1, 1, 2, 0, 0, -1, -1, 1, 1, 0, -1, 4, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 1, 0, -2, -1, -1, 0, 0, 0, 4, 0, 1, 1, 0, 2, -2, 2, 0, -2, 2, -1, 0, 1, 2, 1, 1, -1, -2, -2, 2, -1, 0, 6, 2, 2, 0, 0, 0, 2, -1, 0, 2, 0, 0, -1, 0, 0, -1, 0, -2, 0, 1, -1, 1, 2, 6, 0, 0, 0, 0, 1, 1, -1, -1, -2, -1, 2, 1, 1, 1, 1, 0, -1, 2, -1, 1, 2, 0, 6, -1, 1, -2, 0, 1, 1, 1, 2, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, -1, 1, 1, -2, -1, 1, 1, 1, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 1, 0, 4, -2, 0, -1, -1, 2, 1, -1, -1, -1, 1, 1, 0, 0, 0, 1, 0, -2, 0, 0, -2, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, 1, 0, -1, 1, 2, 2, 1, -1, 1, 0, 1, -1, -1, 1, 2, -1, 0, -1, -2, 4, -1, -1, 1, 0, 0, 0, -2, -2, 1, 1, 0, -1, 0, 0, 1, 0, -2, 0, 0, 0, 1, -1, 4, -1, -1, 0, 1, 2, 0, 0, -1, 0, -1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 2, -1, -1, 6, 3, 2, -2, 1, 2, 2, 2, 1, 0, -1, 1, -1, 0, 2, 3, -2, -1, -2, 1, 1, -1, 3, 6, 1, 0, 1, 0, 0, 1, 1, -1, 0, 1, -1, 2, 0, 2, 0, 1, -3, 0, 0, 0, 2, 1, 4, 1, 2, -1, 1, -1, 0, 0, 0, -1, 1, -1, 0, 2, 0, -1, -1, -1, 0, 1, -2, 0, 1, 4, 1, -1, 0, -2, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 4, -1, 1, 0, 1, -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 2, -2, 0, 2, 0, -1, -1, -1, 4, 2, 1, 0, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 2, -2, 0, 2, 0, 1, 0, 1, 2, 4, 1, 0, 1, -1, 0, -1, -2, 1, 2, -1, -1, -1, 1, 1, -1, 2, 1, -1, -2, 0, 1, 1, 4, 1, 1, -1, 1, -1, 0, 2, 0, -2, 0, 0, -1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 4, -2, -1, 0, -1, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, -1, 0, -1, -1, 1, 1, 1, -2, 4, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 4, 0, 1, 0, -2, 0, 2, 2, 0, 1, 0, 1, 1, 1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 4, -1, 0, 0, 2, 0, 1, 0, -1, 0, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, 0, 1, -1, 4, -1, -1, 0, 1, 1, 1, -1, 1, 0, 0, 2, -1, 0, 0, -1, -2, 0, 1, -2, 0, 0, -1, 4, 0, -1, 0, 1, 0, 1, 0, 0, 2, 0, 0, -1, 0, 1, 1, 2, 0, 0, -2, 0, -1, 0, 4, 1, -2, -1, 0, 2, -2, 1, 3, 2, 2, 1, 1, 1, 2, 0, -1, 0, 0, 2, 0, -1, 1, 6, -1, 0, -1, -1, 0, 0, -2, 0, 0, 1, 0, -1, -1, -2, -1, 0, 2, 0, 1, 0, -2, -1, 4, 2, 0, 0, 0, 0, -1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 2, 1, 1, 1, -1, 0, 2, 4, 0, -1, 0, 1, -2, -3, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, -1, -1, -1, 1, -1, -1, -1, -1, 1, 0, 1, -1, 2, -2, -1, 2, -1, 1, 1, 4, 0, 1, -2, -2, -2, -1, 0, -2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 4, -1, -1, 1, 1, 2, 0, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 2, 0, 2, 0, 1, -1, 4, -1, -1, 0, 0, 1, 0, 1, 1, 1, -2, 0, 0, -1, 1, 2, 1, 1, 0, -1, -2, -1, -1, 4, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, -1, -1, 0, -1, -2, -1, 0, -1, -2, 1, -1, 0, 4, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, -1, 0, -1, -1, 1, 1, -1, -2, 1, 0, 0, 2, 4, 2, 0, 2, 0, -1, -1, 0, 0, 1, -2, 1, 0, 1, 0, 1, 1, -1, 2, 0, 0, 1, 2, 4, 0, 1, 0, -2, 1, 0, 0, -1, -1, -1, 0, 2, 0, 2, -1, 0, 0, 1, -1, 1, 0, 0, 4, 0, 2, 2, 1, -1, 1, -1, 0, 1, 0, 0, 1, 0, -1, -2, 1, 0, 0, 2, 2, 1, 0, 4, -1, 0, 0, 0, 0, 1, -2, -1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, 0, 0, 2, -1, 4, 2, 1, -1, 1, 0, 0, 2, 1, -1, 0, 0, -1, 1, -1, 1, -1, 0, -1, -2, 2, 0, 2, 4, 0, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 1, 1, 1, -1, 0, -1, 1, 1, 0, 1, 0, 4, -1, 0, 0, 1, -1, 0, 0, 1, 1, 0, 0, 1, -2, -1, 1, 0, 0, -1, 0, -1, -1, -1, 4, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 4, -1, 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, -1, -1, 1, 0, 0, 0, 1, -1, 4, 0, 1, 0, 0, 0, 0, 2, 2, 0, -1, -1, -1, -2, -1, 0, -2, 0, 0, 1, 0, 1, 0, 4, -1, -1, 0, 0, 0, -2, 1, 0, 1, 0, 0, 1, -1, 1, -1, 2, 1, -1, 0, -2, 1, -1, 6, 1, 0, 0, 0, -1, 1, 0, 2, -1, -1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 1, 4, 0, 1, 0, 2, 1, 2, 1, -2, -1, 1, 2, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 4, -1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 2, 2, -2, 0, -1, -2, 2, 1, 0, 0, 0, 1, 0, -1, 2, -1, 2, -2, 2, 4, 1, 1, 0, 1, -2, -1, -2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, -1, 2, -1, 2, 1, 4, 2, 2, 0, -2, 1, 0, -2, 2, 2, 1, 0, -1, 0, 1, -1, 0, 0, 2, -1, 2, 1, 2, 4, 2, 1, -2, -1, -1, -2, 2, 0, 0, 0, -1, -1, 1, 0, 1, -1, 2, -1, 2, 0, 2, 2, 4, 0, -2, 1, -1, -1, 1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 4, -1, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, 0, -1, -2, -2, -2, -2, -2, -1, 4, 0, 2, 0, -1, -1, -2, 0, 0, -1, -2, 0, 0, 0, -1, 0, 0, -1, 1, -1, 1, -1, 0, 4, 0, 0, 0, 1, 0, 1, 1, -1, -1, -1, 0, 1, 0, 0, -1, -2, 0, -1, -1, -1, 2, 0, 6, -2, 1, 0, -1, -2, -1, -2, -2, 0, -1, 2, 1, 0, -2, 0, -2, -2, -1, -1, 0, 0, -2, 6, -3, 0, 1, 2, 1, 0, 2, 1, -2, 0, -3, 1, 2, 2, 2, 2, 1, 0, -1, 0, 1, -3, 6, 0, -1, 0, -1, 0, 0, 1, 2, 1, 3, -2, 1, 1, 2, 0, 0, 0, -1, 1, 0, 0, 0, 4, 0, -1, 0, 1, 0, -1, -1, -1, 0, -1, 0, 1, 1, 0, 1, 0, -2, 0, -1, 1, -1, 0, 4, 0, 1, 0, 2, 1, -1, 1, 1, 2, 0, 0, 0, 0, 1, -1, 0, 1, -2, 2, 0, -1, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, -1, 0, 1, -1, 1, -1, 0, 1, 0, 4, 0, -1, 0, 1, 0, 0, 1, 1, 2, 0, -1, -1, 0, -1, -1, -2, 0, 0, 1, 0, 0, 0, 6, 1, -1, 0, -1, 0, 0, 0, 1, 1, 1, 1, 0, -2, -1, -2, 2, 0, 0, 2, 1, -1, 1, 4, 1, -1, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, -1, 0, 1, 1, -1, 1, 0, 0, -1, 1, 4, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, -1, -2, 2, -1, -1, 0, 1, 0, -1, 0, 4, -1, 1, -1, -1, -1, 0, -1, 0, -1, 0, 1, 2, 0, 1, -1, 1, 0, 0, -1, 0, 1, -1, 4, 1, 1, 2, 2, 2, 2, 1, 0, -1, 0, 1, -3, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 6, -1, -2, -1, -1, -1, 0, -1, 0, 0, 0, 1, -2, -1, 2, 0, 1, 0, 1, 1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, 2, 1, -2, -2, -1, -1, -1, -1, -1, 1, 1, 2, -1, 1, 0, 2, 1, 4, -2, -1, 2, -1, 2, 2, -1, 1, 1, 1, 0, -1, -1, 1, 2, 2, -2, 2, 1, 1, -1, -2, 4, 0, -2, 1, -2, -2, 2, -1, -1, -1, 1, 2, 1, -1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 4, -1, 2, -1, -1, -1, -1, -1, -1, -1, 0, -1, 0, -2, 1, 1, 1, -1, 1, 1, 2, -2, -1, 4, -2, 2, 2, 0, 0, 0, 1, 0, 0, -1, 0, 0, 2, -2, 1, 0, 1, 1, -1, 1, 2, -2, 4, -1, -1, 0, 0, 0, -2, 0, 0, -1, 0, 0, -1, 1, 1, 0, 1, 2, 2, -2, -1, 2, -1, 4, 2, -1, -1, 1, 1, 0, -1, 0, 0, 1, 2, -1, 1, 0, 1, 1, 2, -2, -1, 2, -1, 2, 4, 0, 0, 1, 0, -1, -2, 0, 0, 2, 0, -2, 1, 0, 1, -2, -1, 2, -1, 0, 0, -1, 0, 6, 2, 1, 1, 0, 0, 2, 0, -1, -2, 0, -1, 0, 0, -2, 1, -1, -1, 0, 0, -1, 0, 2, 6, 2, 2, -1, -1, 0, 1, 0, -2, 0, 0, 1, -1, -1, 1, -1, -1, 0, 0, 1, 1, 1, 2, 4, 2, 1, -1, 0, 1, 1, 0, -1, 0, 1, 0, -1, 1, -1, -1, 1, -2, 1, 0, 1, 2, 2, 4, 0, 0, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 4, 2, -1, 0, 1, 0, 0, 0, 1, -1, -1, -1, 2, 0, 0, 0, -1, -2, 0, -1, -1, 0, 2, 4, -1, -1, 0, 0, 1, 1, -1, 0, -1, -1, 1, -1, -1, -1, 0, 0, 2, 0, 0, 1, -1, -1, 4, -1, -1, -1, 0, -2, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, -1, 4, 1, 0, -1, 0, 2, 0, 1, 2, 0, -2, 0, 0, 1, 2, -1, 0, 1, 0, 1, 0, -1, 1, 6, -1, -2, 1, 1, 0, 2, 2, -1, 1, 2, -1, 2, 0, -2, -2, 0, 1, 0, 0, -1, 0, -1, 6, -1, 2, 0, 2, -1, -2, 1, 1, -2, 1, -1, -2, 0, 0, -1, -1, 0, 1, 0, -1, -2, -1, 4, -1, -1, -1, 1, 2, 0, 1, 1, 1, 1, 1, -1, 0, 0, 0, 0, 1, -2, 0, 1, 2, -1, 6, 0, 2, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, 0, 2, 1, 0, -1, 0, 4, -1, 2, 1, 0, 1, 1, 1, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 2, -1, 2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, -1, -1, 1, 2, 0, 1, 1, 2, 1, -1, 0, -1, 1, 1, -1, -1, 2, 1, 1, 4, 1, -1, 1, -2, 1, 2, 1, 1, 2, 2, -1, -2, 1, -2, 1, 1, 1, -2, 1, 2, 1, 1, 4, 0, 1, -2, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, -1, 0, 0, 1, -1, 2, -1, -1, 0, 4, -1, 2, -2, -1, -2, 1, -1, -2, -1, 0, 0, -1, -1, -1, 0, 0, -2, -2, -1, 1, 1, -1, 4, -1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, -1, -2, -2, 2, -1, 6, 0, 0, 0, 0, 0, 0, -1, 2, 2, 1, 1, -2, -2, 0, -2, -4, 1, 1, 0, -2, 0, 0, 4, 2, 2, -1, 1, 3, 0, 0, 1, 1, 1, -1, 0, -1, 1, 0, 2, 2, 0, -1, 0, 0, 2, 4, 1, 1, 2, 3, 0, 0, 2, -1, 2, 1, 0, -2, 2, 0, 0, 1, 0, -2, 1, 0, 2, 1, 4, 0, 1, 2, 1, 1, 1, 0, 1, -1, -1, -1, 0, 1, 1, 1, -1, 1, 0, 0, -1, 1, 0, 4, 2, 0, -1, 0, 0, -2, 1, 1, -1, -2, 1, -1, 1, 2, -1, -1, 1, 0, 1, 2, 1, 2, 4, 2, -1, 0, 1, -1, 2, 1, -1, -3, 2, 0, 2, 2, 1, -2, 0, 0, 3, 3, 2, 0, 2, 6, 1, -1, 1, 0, 1, -1, -1, -2, 2, 1, 1, -1, 1, -1, 0, -1, 0, 0, 1, -1, -1, 1, 4, 1, 0, 0, -1, 0, 0, 0, 0, 1, -1, -2, -1, 0, 1, 2, 0, 0, 1, 0, 0, -1, 1, 4, 1, 1, 1, 0, -1, 0, -1, -2, 0, 1, -1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 4, -1, 1, 0, 0, -2, -1, -1, -1, -2, -1, -1, 0, 1, 1, -1, 0, -2, -1, 0, 0, 1, -1, 4, 0, -1, 0, 2, 0, -1, 1, 1, -1, -1, 1, 1, 1, 2, 1, 1, 2, 1, -1, 1, 1, 0, 4, 1, -1, -2, 2, 0, 1, 1, 0, -1, 1, -2, -1, 1, -1, 1, 1, -1, 0, 0, 0, -1, 1, 4, 1, 0, 2, 1, -1, 1, 0, 0, 0, -2, 0, 0, -1, -1, -1, -1, 0, -1, 0, 0, -1, 1, 4, 0, 0, 1, -1, -2, 1, 0, -1, 0, -1, -2, -1, -2, -3, -2, 0, 0, -2, 2, -2, 0, 0, 6, -1, 0, 2, 1, -1, -2, 0, -2, 1, 2, 0, 1, 2, 2, 0, -1, -1, 0, 2, 2, 0, -1, 6, 1, 1, 2, 2, -2, 0, -4, 0, 0, 1, -1, 0, 1, 1, -2, -1, -1, 0, 1, 1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, -2, -2, -1, -1, 2, 1, 1, 0, 1, 0, 2, -2, -1, 2, -1, 0, 2, 4, -2, -1, -1, 0, -2, -1, 0, -1, 1, 2, 0, 1, 1, 0, 2, -2, -2, 2, -1, 0, -2, -2, 4, 1, 2, -1, 2, 0, 1, 1, -1, -2, -1, 0, 0, 0, -2, 0, 0, -2, 1, -1, 0, -1, 1, 4, 2, 1, 1, -1, 1, 2, -1, -2, 1, -1, -1, -1, -1, 0, 2, -1, -1, 1, -1, -1, 2, 2, 4, 1, 1, 0, 2, 2, -2, -1, 1, 0, 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, -1, 1, 1, 4, -1, -1, 0, 1, 0, 0, 1, -1, 1, 1, 1, 0, 0, 1, -2, 2, -2, -2, 2, 1, 1, -1, 4, 1, 1, 1, -2, -2, -1, -1, 0, 0, -2, 2, 2, -2, 1, -1, -2, -1, 0, -1, 0, -1, 1, 4, 0, -1, 0, 0, -1, 1, 0, -1, -1, 1, 1, -1, 1, 0, -1, 0, 1, 1, 2, 0, 1, 0, 4, 0, -1, 0, 1, -1, 1, -1, 0, 1, 1, -1, -1, 1, -1, -1, 1, 2, 2, 1, 1, -1, 0, 4, -2, -1, 1, -1, -1, 1, -1, 1, 1, -1, 0, 1, 2, 1, -1, -1, -2, 0, -2, 0, -1, -2, 4, 1, 0, 0, 1, -1, 1, -2, -1, 1, 0, 0, 1, 2, -2, -2, -1, 0, -2, 0, 0, -1, 1, 4, 0, 0, 1, 0, 1, 0, -2, 1, 0, 0, 1, 0, -1, 1, 1, 1, -1, -1, 1, 1, 0, 0, 4, 0, -1, -1, 1, 0, 1, 1, -2, 2, 0, 1, 0, -1, 0, -1, -1, 1, -1, -1, 0, 0, 0, 4, 0, -1, 0, -2, -2, 1, 0, -1, 1, 1, 0, -1, 0, 1, 0, 0, 1, -1, 1, 1, -1, 0, 4, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, -1, -1, 1, -1, 0, -1, -1, 0, 4, 1, 1, -1, 0, 0, 0, 2, 2, -2, -1, -1, 1, -2, -1, 0, -1, 1, 1, 1, 0, 1, 1, 4, -1, 0, 1, -1, 1, -2, -2, 0, 0, 0, 0, 2, 1, 1, 1, -2, 0, 0, -2, 0, 1, -1, 6, 3, -1, 0, 0, -1, -2, 0, 2, 0, 0, 2, 1, 1, 1, -1, -2, 1, -2, -1, -1, 0, 3, 6, -2, 0, 1, 2, 2, -2, -1, -1, 1, -2, -1, -1, -1, 1, 1, 1, 1, 0, 0, 1, -1, -2, 4, -1, 0, -1, -1, 1, -1, -1, -2, 1, 1, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, -1, 4, -2, 0, 0, -1, 1, 1, 2, -1, 0, 1, 1, 0, 0, 2, -1, 0, 0, 1, 0, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 0, 0, -1, -1, 1, 0, -2, 1, 2, 0, 0, -1, -2, -1, 0, -1, 1, -1, 2, -1, 4, -2, 0, 0, 1, 2, -2, -1, 1, 1, 0, -1, 0, 1, 2, 2, -1, 1, 0, 0, -1, 1, -2, 6, -2, 2, -3, -3, 3, -1, 1, 2, 1, 2, 0, 1, 1, -2, -1, -3, -1, 2, 3, 0, 0, -2, 4, -2, 1, 1, -1, 0, -2, -1, 0, 0, 1, -1, -1, 0, 2, 1, 0, -1, -2, 0, 0, 2, -2, 4, -2, -1, 0, -1, 0, 1, 0, 0, 0, 2, 2, 0, -2, -1, 0, 2, 0, -1, 1, -3, 1, -2, 4, 1, -2, 0, 0, -2, -1, -1, -1, 0, 0, 1, 0, 2, 1, -2, -2, -1, 2, -3, 1, -1, 1, 4, -1, 1, 1, -1, -1, 0, 1, 0, 1, 1, 1, 2, 1, -1, -2, 1, -2, 3, -1, 0, -2, -1, 4, 1, 1, 0, 0, 1, 1, 0, 0, -1, 0, -2, 0, 0, 2, 0, -1, -1, 0, -1, 0, 1, 1, 4, 1, -2, -1, 1, 1, 0, -1, 1, 1, 0, 1, -2, 1, -2, 1, 1, -2, 0, 0, 1, 1, 1, 6, 1, -2, 1, -1, 1, 2, 0, 0, 0, -1, -1, 1, 1, 1, 2, -1, 1, -2, -1, 0, -2, 1, 6, 1, 1, 0, 0, 1, 0, -1, -2, -1, 1, 2, 2, 0, 1, 0, 0, -1, -1, 0, -1, -2, 1, 4, -1, -1, -1, -1, -1, 0, -1, -1, 0, 1, 0, -1, 2, 0, 0, -1, 0, 1, 1, 1, 1, -1, 4, 1, 1, 0, 0, 1, -1, 1, 1, 2, 0, 0, 0, 1, 0, -1, 1, 1, 1, -1, 0, -1, 1, 4, 0, 1, 1, 0, -1, 1, 1, 0, -1, 1, 1, -1, 2, 0, 0, 0, 0, 1, 0, -1, 1, 0, 4, 2, 1, -2, 0, 1, 0, 0, -2, 2, 1, -1, 2, 0, 1, 0, -1, 2, 1, -1, 0, 1, 2, 6, 2, -2, -1, 0, 1, -1, -1, 2, -2, 0, 0, 1, 1, -1, 1, 0, 0, -1, 0, 1, 1, 2, 4, -1, 0, 1, 0, 0, 0, -1, -1, 2, -2, 0, 1, 0, 1, 0, -1, 0, 1, 0, -2, -2, -1, 4, 1, 0, 0, 0, -1, 1, -3, 1, -1, 2, 2, -2, 0, 0, -2, -1, -1, -1, 0, -1, 0, 1, 4, 0, -1, -2, 1, 0, -1, 0, 0, 1, 1, 0, 1, -1, -1, -1, 1, 1, 1, 0, 1, 0, 0, 4, 0, 0, -1, 0, 2, -1, 2, -2, -1, 0, -2, -1, 1, 0, 1, 1, 0, 1, 0, 0, -1, 0, 6, 0, 2, -1, 3, -2, 0, -2, -2, 2, 1, 1, 2, 1, 2, 0, 0, -1, 0, 0, -2, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, 0, 2, 0, -1, 1, 1, 0, 1, 2, 1, 2, 0, 2, -2, -1, 0, 0, 1, 1, 4, 1, -2, 0, 2, 0, 1, 1, -1, -1, -1, -1, -1, -1, 1, 0, 1, -2, 1, -1, 2, 0, 1, 4, -2, 0, 2, 0, 1, 0, -2, -1, -2, -2, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, -2, -2, 4, 1, -3, -1, -1, 0, 0, 0, 1, 2, 1, -1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, 1, 4, 1, -2, 0, 2, -1, 0, 1, 0, 0, 1, -1, 2, 0, 1, 1, 0, 0, 2, 2, 2, -3, 1, 6, -1, 1, 2, 0, -1, 0, 0, -1, 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, -1, -2, -1, 4, 1, -2, 1, 0, -1, 0, 1, -1, -1, -1, 0, -1, -1, 0, -1, -1, 1, 1, -1, 0, 1, 1, 4, -1, -1, 0, -1, -1, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 2, 2, -2, -1, 4, -1, -1, 1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 1, 1, -1, -2, 0, -1, 0, 1, -1, -1, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, 0, -1, 0, 0, -1, 1, 4, 0, -1, 1, 0, 0, 1, 0, 1, 1, 1, -1, 1, -1, -2, 1, 1, 0, -1, -1, 1, 1, 0, 4, 1, -1, 1, 0, 1, -1, 0, -1, 0, 0, 2, -1, -2, 2, 0, 0, 0, -1, 0, 1, -1, 1, 6, 1, 1, -1, 2, -1, -1, 1, 1, 1, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, 1, -1, 1, 4, 0, 0, 1, -1, 0, 0, 1, -1, 2, -1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 1, 1, 0, 6, -1, 1, -3, 1, 0, 1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, -1, 0, 0, 1, 2, 0, -1, 1, 2, 0, -1, -1, 1, 0, 1, 1, 2, 1, 1, 0, 4, -1, 0, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -3, 0, -1, 4, 0, 1, 0, 0, -1, -2, 0, 1, 1, -1, -1, -1, 1, 0, 1, 0, -1, 0, 1, -1, 0, 0, 4, -1, 0, -1, 0, 1, 0, 0, 1, 1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 1, 1, -1, 4, 1, 1, 0, -1, -1, 0, 0, -1, 0, 0, -1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 4, 0, 1, 2, 0, -1, 0, 1, -1, 0, 1, -1, -1, 0, 1, -1, 1, 1, 1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, 2, 2, -1, 0, 1, -1, 1, 1, -2, 0, -1, 1, -1, 0, -1, 1, 0, 0, 4, -1, -1, 1, 1, 1, 2, 0, 1, 1, 1, -1, -2, 0, 0, -1, 0, 1, -1, 1, 2, 1, -1, 4, 0, 0, -1, -1, 0, -1, 1, 1, 1, 0, 1, 0, 0, 0, -2, 1, -1, 1, 0, 2, -1, 0, 4, -2, 0, 2, -1, -1, -1, -2, -1, 2, -2, -1, 0, 0, 0, -1, 0, -1, 0, -2, 1, 0, -2, 4, -2, -2, 2, -1, -1, 2, -1, 0, 1, 1, 0, -1, 0, 1, 0, -1, 1, 2, 1, -1, 0, -2, 4, 2, -1, 2, 2, -1, 2, 0, -2, 0, -1, 1, 0, 0, 0, 2, 0, 2, 1, -1, 2, -2, 2, 4, -1, 1, 0, -1, 0, 1, -3, 0, -1, 0, 0, -1, 0, 0, 1, -1, 2, 0, -1, 2, -1, -1, 4, -2, 1, 1, 1, 0, -1, -1, 0, -2, 0, 2, 0, 1, 2, 0, 0, -1, -1, -1, 2, 1, -2, 6, 2, 0, 2, 0, 0, 0, 1, 0, -1, -1, 2, 2, 0, 1, 1, 1, -1, -1, 2, 0, 1, 2, 6, -1, 3, 0, -2, -2, -1, -1, -2, 2, 1, 3, 1, -1, 1, 1, -2, 2, -1, -1, 1, 0, -1, 4, 1, -1, 2, 1, 0, -1, -1, 0, 0, 1, 0, 1, 1, 1, -1, -1, 2, 0, 1, 2, 3, 1, 6, 0, -1, -2, 1, -1, -1, 0, 1, 3, 1, 1, -1, 0, 2, 0, 0, 1, 0, 0, 0, -1, 0, 4, -2, -1, -1, -1, 0, -1, 1, 0, 1, -2, -2, 1, -2, 1, -2, -3, -1, 0, -2, 2, -1, -2, 6, 2, 1, 1, 0, 0, 0, -1, -2, 0, 0, 0, -1, 1, 0, 0, -1, 0, -2, 1, -2, -1, 2, 4, -1, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, -1, -1, 0, 1, -1, 0, 1, -1, 1, -1, 4, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0, -2, 0, -1, -1, -1, -1, 1, 1, 0, 4, 0, 0, -1, -1, -2, -1, 0, -2, 0, 0, 0, 0, 0, -1, -2, -1, -1, 0, 0, 0, 0, 0, 4, -1, 0, -1, 0, 0, 1, 1, -1, 1, 0, -1, 2, -1, 2, 0, 0, -1, 0, 0, 0, 0, -1, 4, -1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, -1, 0, -1, 0, -1, 4, 1, 0, 1, 1, 1, -1, -1, 2, 0, 1, 2, 3, 1, 3, 0, -1, -1, 0, -1, -1, 1, 1, 6, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, -2, 0, 0, -2, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 1, -1, 0, -1, 1, 0, -1, 1, 1, -1, 2, 1, 1, -1, 0, -1, 1, 0, 1, 4, -2, 1, 1, -2, 1, -1, 0, 0, 0, 0, 2, 0, 2, 0, 2, -2, 1, 0, 0, 0, -2, -2, 4, -1, -1, 1, 0, 1, -1, -1, 0, 0, -2, 1, -1, 0, -1, 2, -1, 0, 0, 1, 1, 1, -1, 4, 2, -2, -1, -2, 0, 1, 1, 0, -1, 1, 0, -1, 0, -2, -1, 1, 1, 1, 1, 1, -1, 2, 4, 0, -1, -1, -1, 0, -1, -1, 1, 1, -1, 0, -1, -2, -1, -1, 0, 1, -1, -2, 1, -2, 0, 4, 0, 2, 0, -1, -1, 0, 1, -1, -2, 1, -1, 1, -1, -1, -1, -1, 0, 1, 0, -1, -1, 0, 4, -1, 1, -1, 1, -1, 0, -1, 2, -1, 2, 1, 1, 1, -1, 1, -1, -1, 1, -2, -1, 2, -1, 4, 0, 0, -1, 0, 0, 0, -2, 2, -1, 1, -1, -1, -1, -1, 1, 0, -1, 0, -1, 0, 1, 0, 4, 1, 1, 0, 1, -1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, -1, 1, 0, -1, -1, 0, 1, 4, 0, -1, 0, 1, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 1, -1, 1, 0, 4, -1, -1, -1, 1, -1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 4, 1, -1, 0, 0, 1, 0, 0, -1, 0, -2, 1, 2, -2, -1, 1, 1, 0, 0, 1, 0, -1, 1, 6, -2, 1, 1, 1, -2, 2, -1, 0, -1, -1, 0, 1, 1, 1, -1, -1, 0, -1, 1, -1, -1, -2, 4, -2, 0, -1, 0, -1, 0, 1, 1, 2, 2, -1, 0, -1, -2, 2, -2, 0, -1, 1, 0, 1, -2, 6, -1, 2, -1, 2, 1, 0, 1, 1, 0, 0, -1, 0, 1, -1, 2, 1, 0, -1, 0, 1, 0, -1, 4, 0, 0, -1, -1, 1, 0, 1, 2, -1, 0, -1, -1, 2, -1, 0, 0, 0, 1, 1, -1, 2, 0, 4, 0, 1, 0, 0, 0, -1, -2, 2, -2, -2, 1, 1, 1, 0, 0, 0, 0, -2, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, 1, -1, 1, 1, 0, 0, 2, -1, 2, -1, 1, 0, 4, 0, 0, 0, -1, 0, 0, 1, -1, -1, 1, -1, 1, 0, 2, -1, -1, 0, 1, -1, 0, 0, 0, 4, 1, 1, 1, 0, 0, 1, 0, -1, -1, -1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, 1, 1, 1, -1, 1, -1, 0, 0, 1, -2, -1, 1, 1, 0, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, -1, 2, 1, 2, 1, 1, -1, -1, -2, -1, -1, -2, 0, -1, -2, 1, 1, 1, 0, 4, 0, 1, 0, 0, -1, 1, -2, -1, -1, 1, 0, 0, -2, 0, 2, 0, -1, 0, 0, 0, 1, 0, 4, -2, -1, 1, 2, 1, 2, 2, -1, 1, 0, 1, 0, 0, -1, 0, -2, 0, 2, -1, -1, 1, -2, 4, 0, -1, -2, -1, -2, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, 0, -1, 0, 4, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, -1, -1, 2, 1, 0, 0, 2, 0, 1, -1, 0, 4, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, 1, -2, -2, 2, 1, 0, 1, -1, 2, -2, 0, 0, 4, 2, 2, 0, 0, 0, -1, 0, 1, -1, -2, 0, 0, 0, 0, 0, 2, 1, 1, -1, 0, 0, 2, 4, 1, 0, 0, 0, -2, 0, -1, -2, -1, 0, 0, 0, 0, 0, 1, -2, 2, -2, 0, 1, 2, 1, 4, 1, 0, 0, -1, 1, 1, 0, -2, 0, -1, 0, 1, 0, 1, -1, 2, 0, 0, 2, 0, 0, 1, 6, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 2, -2, -1, -1, -1, 1, 1, -1, 0, 0, 0, -1, 4, -2, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 1, -2, 4, 1, 1, 0, 0, 0, 1, 1, -1, 0, -1, -2, 0, 0, 1, 1, 0, -1, -2, -1, 1, 0, 1, 4, 0, 0, 1, 0, -1, 1, 1, 0, -2, -1, 0, 1, 0, 0, -1, 0, 0, 1, -1, 0, 1, 0, 4, 1, 1, -1, 0, 0, 0, 1, 0, -1, -2, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, 1, 4, 0, -1, 0, 1, 0, -1, 0, -2, 0, 0, 1, 1, 0, -1, -2, 0, 0, 1, 0, 1, 1, 0, 4, 1, 0, -1, 0, 1, 0, 0, 2, -1, 1, -1, 1, -2, -1, -2, 0, -1, 0, 0, -1, -1, 1, 4, 0, -1, 0, 0, 1, -1, 0, 0, 0, -1, -2, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 4, 1, -2, 0, 0, -2, -1, -2, 0, 2, -2, 0, 0, -1, 0, 0, 1, 1, 0, 1, -1, -1, 1, 6, -1, -2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -2, -1, 4, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, -1, 1, 0, 0, -2, 1, 4, -1, 1, 0, -1, -1, 0, 0, 0, 0, 0, -2, 0, -1, -2, 0, 0, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, 2, 1, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, -1, 0, 1, 2, -1, 0, 2, 4, -1, -2, 1, 0, 0, 0, -1, 1, 0, 1, -2, 1, 0, 0, 0, -1, -1, 2, 1, 1, 0, -1, 4, 0, -1, 2, 0, 0, 2, -1, 2, -1, -1, 1, 1, 1, -2, 2, -1, -2, 1, 1, -1, -2, 0, 6, -1, -2, 1, 2, 1, 1, -2, 1, 3, 0, 1, 1, -1, 2, 3, 1, -2, -2, 2, 1, -1, -1, 6, -2, -1, 1, 1, 2, -2, 2, -3, 1, -2, 0, 2, 0, 1, 2, -2, 0, 1, 0, 2, -2, -2, 6, -1, -2, -1, -1, 4, -2, 0, -1, 1, -1, -2, 0, 0, -2, 0, 2, 0, 0, 0, 1, -1, -1, 4, 2, -1, 0, 1, 1, 2, 0, 2, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 2, 1, -2, 2, 4, 1, 0, -1, 2, 1, 0, 1, 1, 0, 2, 1, 0, -1, 0, 0, -1, 2, 1, 1, -1, -1, 1, 4, 0, -1, 0, -1, 1, 0, 2, -1, 2, 1, 0, 0, 0, 1, 1, -1, 1, 2, -1, 0, 0, 0, 4, -2, 2, -1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, -2, -2, 4, 1, -1, -1, -2, 6, -1, 0, 0, 1, -1, -2, 0, -2, -1, 1, 2, 1, 1, -1, 1, 2, -2, 1, 2, 0, 2, -1, 4, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -2, -2, -1, 3, -3, 0, 2, 1, -1, -1, 0, -1, 6, -2, 1, -1, 0, 1, 1, -1, -1, -1, 0, 1, 1, 0, 1, -1, 0, 0, 1, 1, 0, 0, -2, 4, 0, 1, 0, 1, -1, 2, 1, 0, 1, 0, 1, 1, -2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 4, -1, -2, 1, 1, 0, 0, 0, -1, 0, 1, 1, 0, -1, -1, 1, 2, 0, -1, 0, -1, 1, -1, 4, 0, 1, 0, 0, 1, 1, -1, 0, -2, -1, 2, -2, 0, 0, -1, 1, -2, 1, 0, 0, -2, 0, 4, -1, -1, 0, 0, 0, 0, -1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, -1, 4, 1, 0, 0, 0, 1, -1, -1, 3, 1, 0, -1, 1, 1, 1, -2, 0, 1, -1, 1, 0, -1, 1, 6, 1, -3, -1, 2, 2, -2, 1, 2, -2, 0, 0, 0, 2, -1, 1, -1, 2, 0, 0, 0, 0, 1, 6, 0, -1, -1, 1, 1, -2, -2, 0, 1, -1, 0, 0, 1, -1, -1, 1, 0, 1, 0, 0, -3, 0, 6, 1, 0, 1, 1, -2, 0, 2, 0, 0, 0, 0, 2, 0, -1, 0, 0, 1, 0, 0, -1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 2, -1, 1, 0, -1, -1, 0, -1, 0, -2, 0, -1, 1, 1, -1, -1, -1, 0, -1, 6, -3, 1, 1, -2, 2, -1, -1, 0, -1, 2, 0, -2, 1, 1, 1, 2, 1, 2, -2, -2, 2, -3, 6, -2, 1, 1, -1, 2, -1, 0, 2, -1, 0, 1, 1, 1, -2, -1, -2, -1, 1, 1, 0, 1, -2, 4, 0, 0, 2, -2, 0, -1, -2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 4, 0, 0, -1, 0, -1, 0, 1, 1, -1, 1, 0, 0, 2, -1, 1, -2, 0, -1, -2, 1, 0, 0, 4, -1, -1, 0, -1, 0, -1, 1, 3, 1, 1, -1, 0, 0, -1, 0, 2, 1, 2, -1, 2, 0, -1, 4, -1, -2, 0, -1, 0, -1, -1, 1, 0, 1, 2, 0, 0, 0, 0, 0, -1, 2, -2, -1, -1, -1, 4, -1, 2, 1, 0, -1, 0, 0, 0, 0, -2, -1, 0, 1, 0, -1, -1, -1, 0, 0, 0, -2, -1, 4, 0, 0, 1, 0, 1, -1, 0, -1, -1, 1, 1, 1, 0, -1, 0, 0, -1, -1, -1, 0, 2, 0, 4, 1, 1, -2, 1, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, 2, -2, 0, 0, -1, 1, 0, 1, 4, 1, 0, 0, -1, 1, -2, -1, -2, -1, 0, 0, -1, 2, -1, 0, 1, -1, 0, 0, 1, 1, 1, 4, -1, -1, 1, 0, 0, 1, 0, 2, -1, -1, 0, 0, 0, 0, 1, 1, -1, -1, 0, -2, 0, -1, 4, -1, 0, 0, 0, 0, 1, -1, 0, 1, -2, -2, 1, 0, -1, 3, -1, 0, 1, 1, 0, -1, -1, 6, 0, 2, -2, -1, -1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, -1, 0, -1, 1, 0, 0, 4, 0, 0, 1, 1, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 4, -1, 0, -1, 0, 1, 1, 1, 1, -2, 1, 0, -1, 1, 0, -1, 0, -2, 0, 0, -2, 0, -1, 4, 1, 1, 0, -1, 0, 1, 2, -1, 2, 2, 0, 2, -2, -1, -1, -1, 1, 0, -1, 1, 0, 1, 4, 0, 1, -1, 0, -1, 1, -2, 1, -1, 0, 0, -1, 1, -1, -2, 0, 1, -1, 1, -1, 1, 0, 4, 0, 0, 0, -1, 2, -1, 0, 1, -1, 0, 0, 1, 1, -1, 2, -1, 0, 1, 0, 0, 1, 0, 4, 0, -1, -1, -2, 1, 1, -2, 0, 0, 1, 1, 0, 0, -1, 0, 2, -1, 1, -1, -1, 0, 0, 6, 1, 0, -2, 1, 1, 0, 2, 0, 0, 0, 0, 0, -1, 1, 2, 1, 1, 0, 0, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, -2, 1, 2, -1, 1, 1, -2, 0, -2, 0, 1, 1, 0, 1, 1, 1, 1, -1, 2, 4, -2, -1, -2, 2, 2, -2, -1, -1, -2, -1, -2, 1, 0, -1, 0, 2, 1, -1, -1, -1, -2, -2, 4, 2, 1, -2, -2, 1, 1, -1, 2, -1, 2, 0, 1, 1, 1, 0, -2, 1, -1, 2, -1, -1, 2, 4, 2, -1, -1, 2, 2, 1, 1, 1, 1, 0, -1, -1, 2, 0, -1, 2, 1, 1, -2, -2, 1, 2, 4, -1, -1, 2, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 0, 1, 0, 1, 2, -2, -1, -1, 4, 1, 0, -1, 0, -1, 0, -1, 1, -1, -2, 0, 0, 1, 0, 0, 0, 2, 2, -2, -1, -1, 1, 4, -1, 0, 1, -1, 1, -1, 0, 0, 1, -1, 0, 0, -1, 1, -1, -1, -2, 1, 2, 2, 0, -1, 6, 0, 3, 1, 1, 1, -2, -1, 0, 0, 0, -1, 3, 3, 1, 1, -1, 1, 2, 1, -1, 0, 0, 6, 0, 1, 0, 0, 1, 0, 2, 3, 0, -2, 1, 0, 0, 1, -1, -1, 1, 1, 0, 1, 3, 0, 6, -1, 2, -1, -1, -2, 0, 0, 0, 1, 3, 3, -1, -2, -2, 2, 1, 1, -1, -1, 1, 1, -1, 4, 0, 1, -1, 0, 1, 0, -1, -2, -1, -1, 1, 0, -1, -1, 1, 1, 0, 1, 1, 0, 2, 0, 4, 1, 0, -1, 0, -1, -2, 1, 1, 2, -1, -2, -2, 2, 1, 1, -1, -1, 1, 0, -1, 1, 1, 4, 0, 1, 0, 0, -1, -1, 1, 1, 2, 0, 1, 0, 0, -1, 1, 0, -2, 1, -1, -1, 0, 0, 4, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, -1, -1, -1, 0, -1, 0, -2, 0, -1, 1, -1, 4, 1, -1, 0, 0, 0, -1, 1, 1, -1, 1, -1, -1, -2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 6, 0, 0, -2, 0, 0, 0, 0, 0, 1, 2, 1, 0, -1, 0, 3, 0, 0, -1, 0, 1, -1, 0, 4, 1, -1, 1, 0, 1, 1, 2, 0, 0, -1, 0, 0, 0, 0, 0, -1, -2, -1, 0, 0, 0, 1, 4, 0, 1, 0, 0, 1, 1, -2, -1, -1, 1, 0, -1, -2, 1, -2, 1, -1, 0, 0, -2, -1, 0, 4, 0, 0, -1, 1, -1, 1, 2, 0, 0, -1, 3, 1, 3, -1, 1, 1, 0, 0, 0, 1, 1, 0, 6, 3, 1, 1, -1, -1, 1, 1, 0, 1, 3, 0, 3, -1, 2, 1, -1, -1, 0, 0, 0, 0, 3, 6, 0, -1, -1, 2, 1, 0, 0, -1, 1, 0, -1, 1, -1, 2, 0, 1, 0, 1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -1, 1, 1, 2, 1, -2, -2, 2, 1, 1, 1, -1, 1, -1, -2, 1, 1, 0, 0, 1, 4, -1, 1, 1, 0, 0, 2, -2, -2, 2, 1, -1, 1, 1, -1, -1, -2, 0, 2, 1, -1, 0, -1, 4, -2, -2, -1, 1, 1, 1, 0, -2, 1, 1, -2, -1, 1, 0, 2, 1, 0, 1, -1, -1, 1, -2, 4, 0, -1, -2, -1, 1, 0, 0, -1, -2, 1, 2, -2, -1, -1, -2, 0, 1, 1, 1, 1, -2, 0, 4, 0, 0, -1, -2, -1, 3, 0, -1, 0, -1, -1, 1, -2, 0, 0, 0, -1, 1, 0, -1, -1, 0, 4, 2, 0, 0, -1, 0, -1, 1, 0, -1, 1, 0, 0, 1, 0, -2, 0, 2, 0, 1, -2, 0, 2, 4, 0, 0, -2, 0, 1, 2, 0, -2, 2, 0, 0, 2, 0, -1, 0, 1, 2, 1, -1, -1, 0, 0, 4, -1, -1, 1, 1, 0, 1, 0, 1, -1, -1, 0, 2, 0, -1, -2, -2, 1, 1, -2, 0, 0, -1, 6, 2, -3, 0, 0, -2, -1, 0, -1, 3, 0, -1, 1, 1, -2, -2, 0, 0, -1, -1, -2, -1, 2, 6, -3, 0, 0, -2, 1, 0, -1, 1, 0, -2, -1, 1, 2, 2, -2, 0, 3, 0, 0, 1, -3, -3, 6, 1, -1, 3, 0, 0, 1, -3, 0, 1, 0, 0, 1, 1, 1, -1, 0, -1, 1, 1, 0, 0, 1, 4, 0, 1, 0, 0, -1, 0, 2, 1, 0, 0, 1, -1, 1, -2, -1, 1, 2, 0, 0, 0, -1, 0, 4, -1, -1, 2, 0, 0, 1, 0, 0, 1, 1, 1, -2, 1, 0, 0, 0, 1, -2, -2, 3, 1, -1, 6, 1, 0, 0, -2, 0, 1, -1, 1, -1, 1, -1, 2, -1, -1, -2, 0, -1, 1, 0, 0, -1, 1, 4, -1, -1, -1, -1, 0, 0, 1, 1, -1, 1, -2, -1, 1, 2, 1, 0, 0, 0, 0, 2, 0, -1, 4, 0, 0, 1, 0, -1, 1, -1, -1, 0, -1, 1, 0, 0, -1, -1, -1, 1, -1, 0, 0, -1, 0, 4, 1, -1, -1, -1, -1, -2, -2, 2, -1, -2, 0, 0, -1, 3, 1, -3, 0, 0, -2, -1, 0, 1, 6, 1, 0, 1, -1, 1, 0, 1, -2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, -1, 1, -1, 1, 4, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, -1, -2, 1, 1, 0, 1, 0, 0, -1, 0, 0, 4, 2, -1, 0, 1, 1, 1, 0, -2, -1, 0, 1, -1, 0, 0, 0, -1, 0, -1, -1, 1, 0, 2, 6, -1, 0, -1, -1, 1, -1, 0, 0, -1, 1, 1, 0, 0, 1, 1, 1, 1, -1, -1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, 1, 2, 2, -1, -1, 1, 0, 1, 1, 0, -1, -2, -1, -2, 1, -2, 1, 0, -2, 4, 1, 2, 1, 0, -2, 1, 0, -1, 0, -1, -1, 1, 1, 0, 0, 2, 0, 2, 1, -1, 0, 1, 4, 2, 2, 1, 0, 1, -1, -2, 0, 1, 1, -1, 2, -1, -1, 0, 2, 1, -1, 1, -1, 2, 2, 4, 2, 0, -1, 2, 0, -2, 0, 1, 1, -1, 2, 0, 0, 1, 0, 1, -1, 1, 1, 1, 2, 2, 4, 2, 1, 0, 0, 0, -1, 1, 1, 0, 2, -2, 0, -1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 4, 2, -1, -1, 1, 0, 0, 1, 1, 1, -2, -1, -2, 1, 0, 1, 1, 2, -2, 0, -1, 1, 2, 4, -2, 0, 2, -1, 1, 1, 0, 0, -1, -1, -2, 1, -1, 0, 1, -1, 1, 1, 2, 0, -1, -2, 4, -1, -3, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -2, 0, -1, 0, -1, 0, 0, -1, 0, -1, 4, 0, 0, 0, 0, -1, 0, 1, 2, 0, -2, 1, 1, 0, 1, -1, -2, -2, 0, 1, 2, -3, 0, 6, 0, -1, -1, 0, 0, 1, 0, -1, -1, -1, 3, 1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 0, 4, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, 1, -1, 1, 1, 1, 0, 1, 0, 0, -1, -1, 4, 0, -1, 1, -1, 1, 0, 1, -1, -2, 1, 1, -1, 1, 1, 1, 1, 1, 1, 0, -1, 0, 0, 4, 0, 0, -1, 0, -1, 1, -1, -1, 1, 0, 1, -1, -1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 4, -1, -1, 0, 0, 1, 0, 1, -1, -1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, -1, 4, 0, 0, 0, 0, 1, 0, 2, -2, 0, -1, 0, -2, -2, -1, 0, 1, 1, 1, -1, -1, -1, 0, 4, 1, 1, -2, 1, 0, 1, -1, 0, -1, 0, 0, -1, -1, 0, 2, 0, -1, 1, 0, 0, 0, 1, 4, 0, -1, 0, 0, 1, -2, 2, 0, 1, -1, -2, -2, 1, 0, -1, 1, 0, -1, 0, 0, 1, 0, 4, 0, 1, 0, -1, 1, 0, 2, 0, 1, 1, 1, 0, -2, -1, -1, 1, 1, 1, 0, -2, -1, 0, 4, -1, -1, 0, -2, 2, 1, 1, 0, 0, -1, 0, 1, -1, 0, -1, -1, 0, 1, 1, 0, 1, -1, 4, 1, 0, 1, 1, -1, -1, 1, 1, 0, -2, 1, 3, 1, -2, -1, 1, 0, 0, 0, 0, -1, 1, 6, -1, 0, -1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, -1, 2, 1, 1, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 2, -1, 1, -1, 0, 1, 0, -1, -2, -1, -2, -1, -1, -1, 1, 1, 2, -1, 1, 4, 0, -2, 2, -2, 2, 0, 1, 2, 0, 0, 0, -1, 0, -1, 0, -2, -1, 2, 2, -2, 2, 0, 4, -1, 1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 0, 1, -2, 0, 0, 1, 0, 1, -2, -2, -1, 4, -2, 1, -2, 1, -1, -2, 1, 1, 1, 1, 0, 1, 1, 2, 0, -2, -1, 1, 2, 2, 1, -2, 4, 0, 2, -1, 0, 2, 0, 0, -1, 0, -1, -1, 0, -2, 1, 2, 2, -2, -1, -2, 0, 1, 0, 4, 0, 1, -1, -1, -1, 0, 0, 1, 1, 1, 1, 0, 1, -1, 0, 1, 1, 2, 0, -2, 2, 0, 4, -1, 0, 1, -1, -1, 0, -1, -1, -1, 0, -2, 0, 1, 1, -2, -1, 0, 0, 1, -1, 1, -1, 4, -1, 0, 1, 1, 0, -1, 2, 0, 0, 1, -1, 0, 1, 0, 0, 1, -1, -1, 0, -1, 0, -1, 4, 1, -1, -1, 1, 0, -1, 1, 1, 0, -1, 1, 0, 1, 1, 2, 1, -2, 2, -1, 1, 0, 1, 4, -1, 0, -1, 0, 1, 0, -1, -1, -1, 2, 2, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, -1, 4, 2, 0, -1, -1, -2, 1, 1, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, -1, 1, -1, 0, 2, 4, 1, 1, 0, -1, 0, 0, -1, 0, 1, 0, -2, 0, -1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 4, 0, -1, 1, 0, 0, -2, 0, -2, 0, -1, -1, -1, 1, 0, 1, -1, -1, 0, 0, -1, 1, 0, 4, 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, -1, 1, -1, 2, -1, 1, -1, 0, -1, 0, 6, 1, -1, 0, -1, 0, 1, 2, -1, -1, 1, 1, -1, 1, -1, 0, 1, 0, -2, -1, 1, 0, 1, 4, 0, 1, -1, 0, -1, 3, -1, 0, -2, 1, 0, 1, 0, 0, 1, -1, 1, 0, 0, 1, -1, 0, 4, 0, 1, -1, 0, 0, -1, -2, 0, 2, -2, 0, -2, 1, 0, -1, 1, 0, 0, -1, 0, 1, 0, 4, 0, -1, -1, 2, 1, -1, 0, 0, 1, 1, 0, -1, -1, -1, 0, -1, -2, 1, -1, -1, 1, 0, 4, -1, 0, -1, 1, 2, 1, -2, 2, -1, 1, 0, 1, 2, -1, 0, 0, 0, 0, 0, -1, -1, -1, 4, 2, -1, 2, 2, 0, -1, 2, 0, 1, 1, 0, 2, 0, 1, -2, 0, 1, -1, 0, -1, 0, 2, 6, -1, -1, -2, 1, 1, -2, 1, -2, 0, 1, 0, -1, 0, 0, 0, 2, 3, 0, 2, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 2, -1, 2, -1, -2, 0, 0, 2, -1, 0, 1, 0, 2, 1, 1, -2, 0, -1, -2, 4, 2, 2, 0, -1, -2, 1, 2, 1, 1, -1, 0, -1, 0, -1, -1, -2, -2, 2, 1, 1, -2, 2, 4, 2, -2, 1, -1, 0, 2, 0, -1, -2, 0, 0, -1, -1, -2, -2, -2, 2, 0, 2, -1, 2, 2, 4, -1, -1, 0, 1, 1, 1, -1, 0, 1, -1, 0, 0, -2, -2, -1, 1, 1, 2, 2, 0, -2, -1, 4, -2, 1, -1, -1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, -1, 0, -1, -1, -1, 1, -1, -2, 4, -1, -1, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 2, -2, -1, 0, 1, -1, 4, 0, -1, -1, 0, 2, 0, 1, 1, 0, 0, 1, 0, -1, -1, 0, -1, 1, 0, 1, -1, -1, 0, 4, 1, -1, -1, 1, 1, -1, 1, 1, -2, 0, 0, 1, 1, 0, -2, 2, 2, 1, -1, 0, -1, 1, 4, -1, 0, -2, 1, -1, -1, 0, -2, -1, -2, 2, 0, 1, 0, 1, 0, 1, 1, 0, -1, -1, -1, 4, 1, -1, 0, 0, 1, -1, 1, -1, 0, -1, 0, 1, 0, 1, -1, -1, 2, 0, 0, -1, 0, 1, 6, 1, -1, -1, 1, 0, 1, 1, -1, 0, 1, -1, 2, -1, -2, 0, 1, -2, 2, 1, -2, -1, 1, 6, 0, -1, 1, 1, 1, 2, 1, -2, 1, -2, -1, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, 0, 4, 0, 0, 1, -1, -1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, -1, 0, -1, -1, 0, 4, -1, -1, 0, 0, 0, 0, -2, 1, 1, 0, -1, 0, 1, 0, 1, 1, -1, 1, 1, 1, 0, -1, 4, 0, 1, 1, 0, -1, 1, 0, 0, -1, -1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 1, -1, 0, 4, 0, 1, 0, 0, 1, 0, 2, -1, -2, -2, 2, 0, 0, -2, -2, 1, 1, 1, -1, 0, 1, 0, 4, 1, 1, -2, 0, -1, 1, -2, -2, -2, 0, 0, 1, 0, -1, -1, 1, 2, -1, 0, 1, 1, 1, 4, 1, -1, 0, -1, 1, -2, -2, -1, 0, 1, 0, 0, -2, 0, -1, 1, 0, 0, 0, 0, 1, 1, 4, -2, 0, -1, -2, 2, 2, 1, -1, 0, -1, 1, 2, -1, 0, -2, 0, 0, -1, 0, -2, -1, -2, 4, 1, 1, 0, 1, 0, 1, 0, 0, -1, 1, 0, 0, 1, 1, 1, -2, 1, 1, 0, 0, 0, 1, 4, -1, -1, 1, 2, 2, -1, 0, 0, 0, 1, 1, -1, -2, 0, 1, 0, 0, -1, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 1, 2, 1, 0, 2, 1, 1, -1, 2, 1, 1, -1, -1, -1, 0, -2, 1, 0, 0, 2, 4, -1, 2, 2, 0, -1, 1, 1, 2, -1, 1, 0, 1, -1, -1, 1, 0, -2, 2, 0, 0, -1, -1, 4, -2, 0, -1, -1, -1, -2, 1, -1, -2, -1, 1, -1, 1, 0, 1, 1, 1, 0, -1, 1, 2, -2, 4, 0, 0, 0, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1, 2, 2, 0, 0, 4, 1, 0, 0, 0, 2, -1, 1, 1, 0, 0, -1, -1, 0, -1, 2, 0, 0, 1, 0, -1, 0, 1, 4, -1, 0, 0, 0, 0, 2, 1, 0, 0, -1, -2, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1, 4, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, -1, 1, 2, 2, 1, -1, 0, 0, 0, 0, 4, 1, 0, 0, 2, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 1, 1, -2, 2, 0, 0, 1, 1, 4, -1, 1, 1, 1, -1, 0, -1, 0, 1, -1, -1, 1, 1, 1, 2, 1, 0, 2, 0, -1, 0, -1, 4, -2, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 0, -1, -1, -1, -1, -1, 0, 0, 0, 1, -2, 4, 0, 1, -1, 0, -1, 1, 0, 1, -2, 1, -1, 2, 1, -2, 1, 1, 2, -1, 2, 1, 0, 0, 6, 3, -1, 0, 1, 0, 1, -2, 0, 1, 1, 1, 0, -1, 0, 1, 1, 0, 1, 1, 0, 1, 3, 4, -2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, -2, 4, -2, 0, 0, 0, -1, 1, 0, -1, -1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -2, 4, 0, -1, -2, 1, 0, -2, 1, -1, -1, 1, 0, -1, -1, -1, 0, -1, 0, -1, 1, 0, 0, 0, 4, 1, 0, -1, 0, 0, 1, -1, 1, 0, 0, -1, -2, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 4, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, -2, 0, 0, 4, 0, 0, 2, 0, -2, -2, 1, -2, -1, 0, 1, -1, -1, -1, 1, -2, 0, -1, 1, -1, 0, 0, 4, -1, 0, 0, 1, 2, 1, 0, 2, 0, -1, 0, -1, 2, -2, 0, 0, 1, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 1, 0, -2, 0, 1, 2, 0, 0, 4, 0, 0, 0, -1, 1, 0, -1, 2, 0, 1, 0, -1, 1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, -1, -1, 1, 2, 0, 0, -1, -1, -2, 1, -2, -1, -1, -1, -1, 1, -2, 1, 1, 4, -2, -1, -2, -2, 2, 0, 1, 0, -1, 1, 0, 1, -1, -1, -1, -2, 1, 2, 1, 1, -2, -2, 4, 1, 2, 2, -1, -2, 0, 1, 1, -1, 1, -1, 2, 0, 0, 1, 1, -1, 1, 0, 1, -1, 1, 4, 0, 0, -1, 0, 1, 1, -1, -1, -2, 1, -1, 0, 1, -1, -1, 0, -1, 0, -1, -2, 2, 0, 4, 1, -1, 0, -1, 0, 1, 0, 0, -1, 2, 1, 0, 2, 0, -2, 1, 1, -1, -2, 2, 0, 1, 4, 0, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, 0, 1, 2, -1, -1, -1, 0, 4, 1, 0, -1, -1, 1, -1, 1, -2, -2, 0, -1, 1, 1, 0, 1, 2, 0, -2, 0, 0, -1, 1, 4, 0, -1, 0, 0, -2, 0, -2, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 4, 0, -1, -1, 1, 1, 0, 0, 1, 0, 1, 1, 1, -1, 0, 0, 1, 1, 0, 1, -1, -1, 0, 4, -1, -1, 1, -1, -1, 0, 0, 0, -1, 1, 1, 0, -1, -1, 1, -1, 1, 0, -1, 0, -1, -1, 4, 0, 0, -2, 1, 0, -2, 0, 1, 0, -1, -1, -1, 1, -1, -1, 0, 0, 1, 0, -1, -1, 0, 4, 0, 0, -1, -1, 1, 0, 0, 0, 0, 1, -2, 0, 1, -2, 0, 0, -1, -2, 1, 1, 0, 0, 6, -1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, -1, 1, -1, 0, 1, 0, 1, -1, -2, 0, -1, 4, -1, 0, 1, -1, -1, 0, 1, 1, -2, -1, 2, -1, 2, 0, -2, -2, 0, -1, 1, -1, 1, -1, 6, 1, -1, 1, 2, -2, 1, 0, -1, -1, 0, 0, 1, -1, -2, 0, 0, 0, 0, -1, 1, 0, 1, 4, 1, 1, -1, -1, 1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 1, 0, -2, 1, 0, 1, -1, 1, 4, 1, -1, -1, 1, 0, -1, -2, 1, -1, 2, 1, -1, 0, 0, 0, 0, 0, 2, -1, 1, 1, 1, 4, 0, -1, 1, 0, -1, 1, 1, -1, 0, -1, 1, -1, 1, -1, 1, 0, 1, -1, 2, -1, -1, 0, 4, 0, 0, 0, 1, 2, -1, 0, -2, -1, 1, 0, 1, 1, 0, 0, 1, 0, -2, -1, -1, -1, 0, 4, 0, 0, -2, 1, 1, -1, 1, 1, 0, -1, 1, 1, -1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 6, 0, 1, 1, 0, 0, 1, 0, 1, 0, -1, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 0, 1, -2, -1, -2, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 2, 0, 2, 4, 2, -1, 0, -2, -1, -2, 1, -1, 1, -1, 1, -2, -1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 4, -1, 0, -1, -2, 0, 1, 0, -1, -1, 0, -1, 1, -1, -1, 0, 1, 1, 1, 1, 0, -1, -1, 4, -1, 1, 2, 1, -2, 0, 0, 2, 1, 1, 0, -2, 1, 0, -1, 0, 0, -2, 1, 0, 0, -1, 4, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 1, 0, 1, -2, -2, -1, 1, 0, 4, 2, 2, -1, 0, 0, 1, -1, 2, 1, 0, 1, 0, 0, 0, -2, 0, -1, -1, -2, 2, 0, 2, 4, 1, -2, 0, 0, 2, 1, 1, -1, 0, 2, 0, 0, 0, -1, 0, -2, -2, 0, 1, 0, 2, 1, 4, 0, 1, -1, 1, 0, 1, 1, -1, 0, 0, -1, 0, -1, 0, 0, 1, 1, -2, 1, -1, -2, 0, 4, 1, 0, -1, -1, -1, 0, 1, -1, 1, -1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 4, -2, 1, 1, 1, -1, -1, -1, -1, -2, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 0, -2, 4, 0, 0, 0, -1, 1, 1, 2, 1, 0, 0, 0, -1, -1, -1, 2, 0, 1, 2, 1, -1, 1, 0, 4, 1, 0, -1, -1, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, -1, 1, 0, -1, 1, 0, 1, 4, 0, -1, 0, 0, -1, 0, 0, 0, 1, -1, -2, -1, 1, -1, 2, 1, 1, -1, 1, 0, 0, 0, 4, 1, -1, 1, -1, 0, 0, -1, 0, 0, -1, 1, 0, 0, 1, -1, 1, 0, -1, -1, -1, -1, 1, 4, -1, 0, -1, 1, 1, -1, 0, -1, 1, -1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, -1, -1, 4, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, -1, 1, 2, 0, -1, -1, 1, 0, 0, 1, 0, 0, 4, 1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 2, 1, -1, -1, -1, 0, 1, 4, 0, 1, 1, 0, 1, 1, 1, -1, 0, 0, 0, -1, -1, -2, 1, -1, 0, 0, 1, 0, 0, 0, 4, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, 1, 0, 4, 1, 0, 2, 1, 1, 0, 0, -2, -1, -1, 1, 0, 0, 0, 0, -1, -1, -1, -1, 1, 0, 1, 4, -1, 0, 1, 1, -2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 1, 0, 1, -2, -1, 1, 1, -1, -2, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 4, 2, -1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, -1, 0, 2, 1, -2, 0, 1, -2, 2, 6, -2, 1, -1, 2, 1, 0, -2, 0, 4, 2, 0, 0, 1, 2, 0, -1, 0, 2, -1, 1, -1, -2, 4, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, -2, 0, 0, 0, 1, -1, 4, -1, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, 2, -1, -1, 1, 2, -2, 1, 1, -1, 0, -1, 4, -1, 1, 0, 1, 1, -1, 1, 2, -1, 0, 0, 1, 1, -1, -2, 1, -2, 1, 2, 0, 0, -1, 4, 2, 1, -1, 0, 2, 1, -1, 0, 0, 0, 1, 1, -1, 1, 0, -1, 2, 1, 0, 0, 1, 2, 4, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, -2, -1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 4, 1, 0, 0, 1, 1, 0, -1, 0, 2, 1, -2, 1, 0, 1, 1, -2, 1, 0, 1, -1, 1, 1, 4, 1, -2, 0, 0, 0, -1, -1, 1, 2, -1, -2, 1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, -1, 1, 1, 1, -1, 1, 0, 1, 0, 0, 0, -2, 2, 4, -1, -1, -1, 2, 1, 0, -2, -1, 6, 2, -1, 0, 1, 0, 0, -1, 0, 1, 0, -1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 4, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 2, -1, 1, 1, 0, 1, -1, 1, 4, 0, 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 4, -2, 0, 0, 1, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, -2, 4, 0, 0, -1, 0, 1, 0, -1, 0, 2, 0, 2, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 4, -1, -1, 1, 1, -1, 1, 2, 0, 0, -1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, -1, 4, 2, -2, 0, 1, 0, 1, -1, 1, -1, 1, 1, 2, 1, 2, 1, -1, 0, 0, 1, -1, -1, 2, 4, -2, -2, 1, -1, -2, 0, 0, 1, -1, -1, -2, -2, -1, 0, 0, -1, -1, 0, 0, 1, -2, -2, 4, 1, -1, 0, 0, 2, -2, 2, -2, 1, -1, 1, -2, 0, 1, 0, 0, -1, 1, 1, 0, -2, 1, 6, -2, 0, 1, -1, 0, -2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, 2, -1, 0, -2, 0, -1, 1, -1, -1, 1, 2, 1, 1, 1, -2, 1, 0, -2, 4, -2, -1, -1, -1, 1, 1, 2, 1, 0, 1, 1, 0, -2, -1, 0, 1, 0, 2, -2, -1, 2, -2, 4, 0, 0, 1, -1, -1, -2, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, -2, 1, 0, 1, -1, 0, 4, 0, 2, 0, 1, 0, -2, 0, 1, -2, -1, -1, -1, 1, 1, -1, 0, 2, 0, 1, -1, 0, 0, 4, -1, 1, -1, -1, 0, -2, 1, 1, -1, 2, 2, -1, -1, 1, -1, 2, 2, 2, -1, 1, 2, -1, 6, -1, 0, -1, -2, 1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -2, -1, 1, -1, 0, 1, -1, 4, 0, 1, -1, -2, 1, 2, -1, 0, -1, 0, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 0, 0, 4, 0, -1, 1, 0, 0, -1, -2, 0, 2, 1, -2, 0, 1, 0, -2, 2, -2, 0, -1, -1, 1, 0, 4, 1, 0, 1, -1, 1, -1, -2, 0, 1, -1, 2, -2, -1, 0, 1, 0, -2, 0, -2, -1, -1, 1, 4, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, -2, -1, -1, 0, 0, 0, -2, 1, -2, 1, 0, 0, 4, -2, 0, 1, -1, 0, 0, -1, -1, 0, -1, -1, 1, 1, -1, 1, 1, 0, 1, 0, 1, 1, -2, 4, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, -1, 1, 0, -2, 1, 0, 2, 0, -1, 0, 0, 0, 6, 0, 1, 1, -1, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, 4, 1, -1, 0, -1, 0, 1, -2, -2, 1, -2, 1, -1, 2, 0, 0, -2, -1, 0, -1, 0, 1, 1, 4, 1, -1, -1, 1, -1, 0, 1, 2, -1, 1, -1, 2, 0, -1, 0, -2, 1, 0, 0, 1, -1, 1, 4, 0, -1, 1, -2, 1, 1, 1, 0, 1, 1, -1, 0, 0, 2, 0, 0, 0, 1, -1, 0, -1, 0, 4, 2, -1, 0, 1, 0, 1, 1, 0, 1, -1, 0, 1, 1, 1, 0, -1, 2, -1, -1, -1, -1, 2, 4, 0, 1, 0, 0, 1, 0, 1, -1, 1, 1, 1, -2, -1, 0, -1, 0, 1, 0, 1, 1, -1, 0, 4, -1, -1, 0, -2, 2, -2, 0, -1, -1, 1, 0, 2, 1, 0, 1, 0, 1, -1, -2, 0, 1, -1, 4, -1, -1, 1, -2, 1, 2, 2, 0, 0, 1, -2, -2, -1, 0, 0, -2, 0, 1, 1, 0, -1, -1, 6, 2, 0, -1, 0, 0, 2, -2, 1, 0, -1, -1, -1, 0, 1, -2, 1, 1, 0, 0, 0, -1, 2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, -1, -1, 1, 1, -1, 1, 0, -2, 2, 4, 0, 0, 2, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 2, 2, -2, 0, 1, -1, 2, 0, 4, 0, 1, 1, -1, 1, 1, 0, 0, -1, 1, 1, -1, -2, 0, -1, -1, 0, 0, -2, 2, 0, 0, 4, 0, 0, 1, 0, 1, 0, 2, 1, -1, 0, 0, 0, 0, 0, 1, 2, -1, -1, 2, 2, 1, 0, 4, 1, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 1, 0, 1, 4, -1, 0, -1, 1, -1, -2, 1, 0, -1, 0, -1, -2, 1, -1, -1, -1, 0, 0, -1, 1, 0, -1, 4, 1, 0, 1, 1, 1, -2, -1, 0, 2, -1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 4, 1, 1, -1, 1, 1, -1, 0, 1, 1, 0, -1, -1, 0, 0, 1, 0, 1, 1, -1, -1, 0, 1, 4, -1, 0, 1, 0, 1, 0, -1, 2, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 4, -1, -1, 0, 0, -1, 1, 0, 0, 1, -1, 1, 0, 1, 0, 0, 2, 0, -1, 1, -1, 0, -1, 4, 0, -1, -1, 1, 0, -1, 0, 0, 2, 0, 0, 0, 0, -1, 1, -1, -2, 1, 1, 1, -1, 0, 4, 0, -1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, 1, -1, 1, 1, -2, 1, 0, 0, -1, 0, 4, -1, 1, -1, 1, -1, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, 4, -2, -1, 1, 1, -1, 0, 1, -1, -1, -1, -1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 1, -2, 4, 0, -1, -1, 1, 1, -1, 2, -1, 0, -2, 0, 0, 0, 2, 1, -1, 1, 0, 0, -1, -1, 0, 4, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, -1, -1, 1, 2, 0, -1, 1, 1, 1, -1, 0, 4, 2, -1, -1, 0, 0, 1, 2, -1, 0, 0, -2, 0, 0, 1, 0, 0, 1, -1, 1, -1, 0, 2, 4, -1, 0, 1, 0, -1, -2, -1, 1, -1, 1, 1, -1, 0, 1, 0, 0, 0, -1, 1, 0, -1, -1, 4, 0, -1, 1, 1, 0, 0, 2, 0, -1, 1, -1, 0, -1, 2, 0, -1, 0, 1, 0, -1, 0, 0, 4, 1, 0, 0, 1, 0, -1, 0, -1, 1, 0, -1, 1, 0, -1, -1, 1, -1, 1, 0, 1, -1, 1, 4, 0, -2, -1, -2, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 2, 2, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, -2, 1, -2, 0, 1, 1, 0, 0, -1, 1, 1, -2, 1, -2, 1, 1, -1, -1, 1, -1, 4, 1, -1, 0, -1, 1, 0, -2, 1, -1, 1, 1, -2, 2, -2, 1, -1, 0, 1, 0, 0, -1, 1, 6, 1, -3, -2, -1, 2, -1, -1, 1, 1, 1, -1, -1, -1, 0, 1, 0, -1, 1, -3, -2, -1, 1, 6, 1, 3, -2, 0, -1, -2, 2, 2, -2, -1, -2, -1, 0, 0, -2, 0, 0, 1, 1, 0, -3, 1, 6, 0, 1, 0, -1, 1, -1, -1, -2, -1, -1, -1, 0, -1, 1, 1, -2, 3, -2, -1, -2, 3, 0, 6, 0, -1, 0, -2, 1, 0, -1, 1, 1, 0, 0, 0, -2, 0, 1, 2, 0, 1, -1, -2, 1, 0, 4, 1, 0, 2, -2, -1, 0, -1, 1, 0, 0, -1, 1, 1, 1, 1, 1, 0, 2, 0, 0, -1, 1, 4, -1, 0, -1, -1, 0, -1, -1, -1, 0, 1, 1, -1, 1, -1, 1, -2, -1, -1, -1, 0, 0, -1, 4, -1, 0, -1, 0, 1, 0, 1, -2, 1, 1, -1, 1, 1, 0, 1, -1, -2, 1, -2, 2, 0, -1, 4, -2, 0, 0, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0, -1, 1, 2, -1, 1, -2, -1, 0, -2, 4, 1, 1, 1, -2, 1, 0, 1, -1, -1, 0, 0, -1, 1, 1, 2, -1, 0, -1, -1, -1, 0, 1, 4, 0, -1, -1, 0, 0, -1, -2, 1, 0, 0, 1, 1, 1, -2, -2, -1, 0, 0, 0, 0, 1, 0, 4, 1, 0, 0, 0, 0, 1, 0, 0, -1, 1, -2, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 4, 0, 2, -1, 1, 0, -1, 0, -1, -2, 2, -1, -2, -1, 1, 1, -1, 0, 1, -2, -1, 0, 0, 6, -1, 1, -1, 0, 0, 1, 0, 1, -2, -1, -1, -1, 0, 0, -1, 1, 0, 1, 0, 0, 2, -1, 4, 0, 0, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, -1, 1, 0, 4, -1, 0, 1, 0, -1, 1, -1, 1, 0, -1, 0, -1, 1, 1, -1, 1, -1, 0, 1, -1, 0, -1, 4, 1, -2, 1, 0, 1, 0, 0, -2, 1, -2, 1, 1, 1, 1, -1, -2, 1, 0, 0, -1, 0, 1, 4, -1, 0, 0, -1, 1, -1, 0, 1, 0, 1, -1, -1, 1, -1, 1, 0, -1, 0, 0, 1, -2, -1, 4, 0, 0, -1, 0, 1, 0, -2, 1, 1, 1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4, -1, 1, 0, -3, 1, 3, 2, 1, -1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 1, 2, 2, -1, 0, -1, 2, 2, -1, 1, -1, -1, -1, 1, -1, 0, 1, -1, 1, -1, 4, -1, 0, 1, 0, -1, 0, -1, 0, -2, 0, 1, -1, 1, -1, 0, -1, 1, 1, 2, 1, -1, -1, 6, 2, -3, -1, 1, 1, 0, -1, 2, -1, -1, -1, 2, 0, 0, 1, 2, -1, -2, -3, 1, 0, 2, 6, 2, 2, 1, 1, -2, 2, 3, -3, -1, -2, 2, -2, -1, 0, 1, 0, 1, -2, 2, 1, -3, 2, 6, 1, 0, -1, -1, 1, 0, -1, 0, -2, 0, -1, 1, -2, -1, 2, 3, 0, 2, 0, -1, 2, 1, 4, -1, 0, -1, 2, 2, -1, 1, 0, 0, -1, -1, 0, 0, 0, -1, 0, -1, -1, 1, 1, 0, -1, 4, -1, 0, 0, 1, 1, -1, 0, 1, 0, 1, 1, 0, -1, 1, -2, 0, 0, 1, 1, -1, 0, -1, 4, 1, 1, -1, -2, 1, 1, 0, 1, -1, 0, 0, 0, -1, 1, -1, -1, 0, -2, -1, -1, 0, 1, 4, -2, -2, 0, 0, 1, 0, 1, -1, 1, 0, -1, 0, 1, 2, 0, -1, 2, 1, 2, 0, 1, -2, 4, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 2, -2, 2, 3, 0, 2, 1, -1, -2, 1, 6, -1, 0, -1, 0, -1, 1, 1, 1, -1, -1, -2, -1, 0, -1, -3, -1, -1, 1, -2, 0, -1, -1, 4, 0, 1, -1, 1, 1, 0, -1, 0, 0, 0, 1, 1, -1, -1, 0, 1, -1, 1, 0, 1, 0, 0, 4, 1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1, -1, -2, -2, 0, 0, 1, 1, 0, -1, 1, 1, 4, -1, 2, -1, 1, -1, -1, -1, 0, -1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, 4, -1, -1, 0, 1, -1, 1, -1, -1, -1, 0, -2, -1, -1, 0, 1, 1, -1, -1, 1, 0, 2, -1, 4, 1, 0, -2, 0, -1, 0, 1, 0, 0, -1, 1, -1, 1, -1, -1, 0, 1, 1, 1, -1, -1, 1, 4, -1, 0, 1, 0, 0, -1, -1, 1, 0, -2, 0, 1, 0, 1, 0, 1, 0, -1, 1, 0, 0, -1, 4, 1, -2, 0, 0, 0, 1, 2, 1, -1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, -2, 0, 1, 4, -1, 0, 0, 1, 1, -1, 0, 2, 0, -1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 1, -2, -1, 4, 1, 0, -1, 2, -2, 1, 3, -1, 1, -1, 0, -1, -1, 0, -1, -1, 1, -1, 0, 0, 0, 1, 6, 0, 1, 1, -3, -2, 0, 0, -2, 1, 1, 1, -2, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, 1, 2, -2, -1, 1, -2, -2, 2, -2, -1, -2, 1, 0, -1, 0, 1, -2, 1, 1, 4, 2, 2, 0, -1, -2, -1, 0, -2, -2, -1, 1, -1, -1, -1, 1, -2, -1, 2, -2, -1, 1, 2, 4, 1, 1, 0, -1, -2, 1, -1, -1, 1, -1, -2, 0, 1, -1, -2, -1, 2, -1, 0, 1, 2, 1, 4, 0, -1, -1, -2, 0, -2, -2, 1, 0, -2, -1, -1, 1, -2, 1, 2, 0, 0, 1, 0, 1, 0, 4, 2, -2, 1, 2, -1, 0, 2, 0, 1, 0, 1, -2, 0, 1, 0, -1, -1, 2, -1, 0, -1, 2, 6, 0, -1, 0, -1, 0, 3, -2, 2, -1, 2, -1, 0, 0, 0, 0, 0, -2, -2, -1, -1, -2, 0, 6, -2, 0, 1, 0, -2, 1, 0, 2, 1, -1, 1, -1, -1, 1, 2, -1, -1, -2, -2, 1, -1, -2, 6, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, -2, -1, -2, 1, 0, 1, 0, 2, 0, 0, 0, 4, 0, -1, 0, 0, -1, 0, 1, -2, 0, 1, 0, -1, 1, -2, -2, -1, -2, -1, -1, 1, 2, 0, 4, 2, -1, 0, 1, 1, 0, 0, 1, 0, -1, 2, 0, -2, -2, -1, -2, 0, 0, 0, 1, -1, 2, 4, 0, 0, 2, 1, 0, 0, 1, 0, -1, 2, -1, 2, -1, 1, 1, 2, 3, -2, 0, 0, -1, 0, 6, -2, -1, -1, 1, -1, -1, 2, 1, 1, 0, -2, 1, -1, 0, 0, -2, 1, 2, 0, 0, 0, -2, 6, 0, 2, -1, 1, 1, 0, -1, -2, -1, -1, -1, -2, -2, 1, 2, 0, 2, -1, 1, 2, -1, 0, 6, 0, 0, 0, 2, 0, -2, 0, -2, -2, -1, 0, -1, 0, -1, 2, 1, 0, 1, 1, -1, 2, 0, 4, 1, -1, 0, -1, -1, 0, 0, 1, -1, 1, -1, 1, 2, 1, 0, 1, 0, 0, 1, -1, 0, 1, 4, -1, 0, -1, 0, -1, 1, 0, 1, -1, 1, -2, -1, -1, 0, -2, 0, 0, -1, 1, 0, -1, -1, 4, 0, 0, 0, 0, 0, -1, -2, -2, -2, 0, 0, 1, 2, 0, 1, 1, -1, 1, 2, 0, 0, 0, 4, 1, -2, 0, 0, 0, -1, -1, 1, 1, 0, -1, 1, 1, 0, 0, 2, 0, 0, -1, -1, 0, 1, 4, -1, 1, 0, 1, 2, 2, 2, 0, 0, -1, -2, 0, -1, -1, 1, -1, -2, -1, 0, 0, -2, -1, 4, 1, 0, -2, -2, -1, 0, -1, 0, 1, -1, -1, 2, 2, 1, -2, 0, 0, -1, 0, 0, 1, 1, 6, 0, 1, -1, 0, 0, -1, 0, 2, -2, 1, 0, -1, 0, -1, -2, 0, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, 2, 0, 0, -1, -1, 1, 2, -1, -2, -1, -1, -2, 1, -1, -1, 1, 0, 1, 4, -2, 0, -2, 1, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, -1, -1, 0, 1, 1, 1, -1, -2, 4, 0, 1, -1, 0, 1, -1, -1, -1, 0, 0, 1, 2, -1, 2, 0, -1, 0, -2, 0, 1, 0, 0, 4, -2, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 0, -2, 1, -1, -1, -1, -1, -2, -2, 1, -2, 6, 0, -1, 1, 0, -1, 1, 0, 1, 0, 0, -1, 3, 0, 1, 0, 0, 1, 2, 1, -1, 1, 0, 4, 0, 1, -1, -2, 0, 2, 0, -1, -1, 0, -2, 1, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 4, -1, 0, 0, -1, 1, 0, -1, -1, 2, -1, 0, -1, 0, 0, 1, 0, 0, 1, -1, 1, 1, -1, 4, -2, -1, 1, 0, 0, 1, 1, 0, 0, -1, -1, 1, -1, -1, -1, 0, -1, 1, 0, -1, 0, -2, 4, 0, -1, 0, 0, 1, 0, 1, 1, 1, 0, -1, 1, 0, -1, 1, -1, -1, -1, -2, 0, -1, 0, 4, 1, -1, 0, 0, -1, 0, 1, -1, 1, 1, 0, 1, 1, 1, -1, -1, 1, 0, -1, 1, -1, 1, 4, 0, 1, -1, -1, -1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, -1, 0, 4, 0, -1, -1, 0, -1, 1, -2, -1, 0, 1, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 4, 1, 0, 0, 0, -1, 1, 1, -1, 0, -2, -1, 1, 1, 0, -1, -1, 1, 1, 0, -1, -1, 1, 4, 2, 1, 0, 0, 0, 0, -1, -2, -1, -1, 2, 1, 0, -1, -1, 1, 0, -1, -1, -1, 0, 2, 4, 0, 0, -1, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, 2, 0, 1, 0, -1, 0, 0, 1, 0, 4, -1, 0, -1, 0, 0, 0, -2, -1, 2, -2, 3, -2, -1, 0, 1, 1, 1, -1, 0, 0, 0, -1, 6, 0, 1, 0, 0, 2, 1, -1, 0, 1, 0, 1, 0, -1, 1, -1, 0, 1, -1, 0, -1, 0, 0, 4, 0, -2, 1, 0, -1, 0, -1, -1, 1, -1, -1, -1, 0, 1, 1, -2, 1, 0, -1, -1, 1, 0, 4, 0, 1, 0, -1, 1, 0, -1, 0, -1, 0, 1, -1, 1, 0, -1, 1, 0, 0, 0, 0, -2, 0, 4, 0, 0, 1, 1, -2, -1, 0, 0, 0, -1, 1, 0, 1, 0, -1, -1, -1, 0, 0, 1, 1, 0, 4, 0, 0, 1, 0, -1, 1, 0, 1, -1, 0, 1, 1, 1, 0, -2, -1, 0, 2, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 1, 0, 0, 0, 1, 0, -1, 0, -1, 1, 0, 0, -2, 1, 1, 1, 0, -2, 1, 4, -1, -2, 0, -1, -1, 1, 0, 0, -1, -1, 1, 2, 1, -1, 0, 0, 0, 2, 0, 1, 2, -1, 4, -1, 0, 1, 1, -1, 0, 0, 1, 1, -1, -1, -1, 1, -1, 0, 0, -1, -1, -1, -1, -2, -1, 4, 1, 1, 1, -1, -1, -1, 0, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 4, 0, 1, 0, -1, 0, -1, 1, -1, 1, 1, 0, -1, -1, 2, 1, 0, -1, 0, -1, 1, 1, 0, 4, 2, -2, -1, 0, 2, 1, -1, -1, -1, 1, -1, 0, -1, -1, 1, -1, 0, -1, 1, 1, 1, 2, 4, -2, -1, 1, 1, 0, -1, -1, -1, 2, -1, -1, 1, -1, 0, -1, 0, 1, -1, -1, 0, -2, -2, 4, 0, 1, -2, 1, 2, 1, 0, 0, 1, 1, 1, 1, -1, 1, 1, 0, 0, -1, -1, -1, -1, 0, 4, -1, -1, 0, -1, 0, 1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, -1, 4, -1, 1, 2, 0, -2, 0, 0, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 2, 1, -2, -1, -1, 4, 0, -1, -2, 0, 0, 1, -1, -1, -2, 1, 1, 0, -1, 1, -1, 1, 1, 0, 1, 0, 1, 0, 4, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 0, 4, 0, -1, -1, 1, 1, 0, 0, -1, 1, 1, 2, -1, 0, 1, -1, -1, 1, 0, 0, -2, -1, 0, 4, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, -1, 0, 1, -1, -1, 0, 1, -2, 0, 0, -1, 1, 4, 0, 0, -1, 1, 1, 1, 1, 0, -1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 4, -1, -1, 1, 0, 0, 0, -2, 0, -1, -1, -1, -1, -1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 4, 0, -1, -1, 0, 2, 1, 0, 0, -1, -1, 0, -1, 1, 2, 1, -1, 1, 1, 0, -1, -1, 0, 4, 0, 0, 0, -1, 1, 0, 0, 0, 2, -1, 1, 1, 0, 1, -1, 1, 0, 0, 1, 1, -1, 0, 4, 0, 0, 0, 1, 2, -1, 0, 1, -1, -1, 1, 0, 0, -2, -1, 0, 2, 1, 0, -1, 0, 0, 4, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 4, 0, -2, 1, -1, -1, -1, -1, -1, 1, -1, 0, 1, 0, 1, 0, 1, 0, 2, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 0, -2, 1, 0, -2, -2, -2, 2, 2, -2, 2, -1, 0, 0, 2, 2, -2, -1, -2, 1, 4, 1, -1, 1, 0, 1, -2, -2, -1, 2, 0, -2, 1, 1, 0, 0, 0, 2, 0, 0, -1, -2, 1, 6, 0, 1, -2, 1, 0, 1, 1, -1, -3, 1, -2, -1, 2, -2, -2, -2, 2, 2, 3, 0, -1, 0, 4, -2, -1, -2, 2, 1, 0, 1, 0, 1, -1, 0, 1, 0, 1, -2, -1, 0, 2, -2, 1, 1, -2, 6, -1, 0, 1, 1, 1, -2, 0, 1, -2, 2, 0, -1, -2, -1, 2, 2, 0, 1, 0, -2, -1, -1, 4, 0, 0, -1, 0, 0, 1, -1, 2, 0, -2, 0, 2, 3, -2, -2, -1, 0, 1, 1, -2, 0, 0, 4, -1, -1, 1, 1, -1, 0, 1, 0, 1, -1, -1, 1, 1, 0, -1, -2, -2, 0, 2, 1, 0, -1, 6, 1, 3, 0, -1, 2, -2, 1, 0, 0, 0, -1, 0, 0, 3, -2, -2, 1, 1, 1, -1, -1, 1, 4, 1, -3, -1, 2, -2, 0, 1, -1, -1, -3, 1, 1, 2, -2, -1, 1, 0, 1, 0, 1, 3, 1, 4, 0, -2, 1, -1, 1, 1, -1, -1, 0, 1, 0, 2, 2, 2, -1, 1, -2, 0, 1, 0, -3, 0, 6, 0, -1, 1, 1, 1, 1, 1, 2, -1, -2, 0, 2, 0, -3, 0, 0, 1, -1, -1, -1, -2, 0, 4, -1, 1, 0, -1, 1, 1, 1, -1, 0, -2, -2, -2, 1, 1, 1, -1, 0, 2, 2, 1, -1, -1, 4, -2, 0, 1, -1, -1, -3, 1, 1, 2, 2, 1, -2, -1, -2, 2, 1, -2, -2, -1, 1, 1, -2, 4, 0, -1, 0, 2, 3, -2, -1, -3, -1, 1, -1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 4, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, 1, 0, -2, 1, 0, 1, 1, 1, -1, 1, -1, 0, 4, -1, -1, -2, 1, 1, 2, 0, 0, -2, 0, -1, 0, -1, 0, -1, -1, 1, 1, -1, 0, 0, -1, 4, 0, 1, 0, -1, 0, 2, 0, -2, 1, -2, 2, -1, 0, -1, -1, 1, 1, -1, 2, -1, -1, 0, 4, 2, -2, -1, -1, 2, 2, -2, -2, -1, 3, 1, -1, -3, 0, 2, 1, -3, 3, 0, -2, 1, 2, 6, -2, -2, -2, -2, 0, 2, -1, 2, -2, 1, 0, 1, 1, -1, -1, 1, -2, 0, 1, 0, -2, -2, 4, 2, 1, -1, 0, 2, 0, 2, -2, 0, 0, 1, 0, -2, 0, 1, -1, 0, 1, -1, -1, -2, 2, 4, 0, -2, -1, 3, 2, 0, -1, -1, 3, 2, 2, 0, -2, 2, -3, 0, 2, 0, -1, -2, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 2, 1, 1, -1, -2, -1, 1, -2, 2, -2, 1, -1, 1, 1, 1, -1, -1, 0, 1, 4, 0, 1, 2, 2, -1, -2, -2, -1, -1, -1, 2, -2, 1, 1, -1, 0, 0, -2, -1, 1, -1, 0, 4, -1, -1, 1, -2, 1, 1, 2, -2, -1, 1, -1, 1, 2, 1, -2, 1, 1, -1, 1, 2, 1, -1, 4, 0, 1, 1, 0, -2, 0, 0, -2, 0, -2, 1, -2, -1, 1, -1, 0, -1, 0, 2, 2, -1, 0, 4, 0, 0, -2, -1, -2, 0, 0, 1, -1, 0, 0, 0, 1, 1, -2, 0, 1, 1, 2, 1, 1, 0, 4, 0, 0, -2, 1, 0, -2, 2, -1, 1, 0, 0, -1, 0, 0, -1, 1, 1, -1, -2, 1, 0, 0, 4, 0, -1, -1, 1, -1, -1, 0, -1, -1, 1, 0, -1, 0, 1, -1, -1, -2, 1, 0, -2, 0, 0, 4, 1, 2, 0, -1, 0, 1, -1, -1, 0, 0, -1, 2, 0, 0, -2, -2, 1, -2, -1, -2, -1, 1, 4, 0, -1, 2, -2, 2, -1, 1, 1, 0, 0, 1, 1, -1, -1, -1, 2, 0, -2, 1, -1, 2, 0, 4, 0, 0, 0, 0, 0, -1, 0, -1, 0, 2, 0, 0, 1, -1, -2, 0, 0, 0, 1, 0, -1, 0, 4, 1, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, -2, -1, -1, -2, 0, -2, -1, -1, 2, 0, 1, 6, -3, 3, -1, 1, 0, 1, 1, -1, 1, -2, 2, 2, 1, 0, 1, 2, -1, 0, -2, 0, 0, -3, 6, -1, 2, 1, 0, 0, 1, 0, -2, 1, -2, -2, -1, -2, -1, -1, 0, 1, 2, 0, 1, 3, -1, 6, 0, 1, 0, 0, 1, 1, 0, -1, 1, 1, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, 2, 0, 4, 1, 0, -1, 1, 0, -2, 1, -1, 1, 2, -2, 0, 0, -1, -1, 1, -1, -1, 1, 1, 1, 1, 6, 2, -1, 2, -1, -1, -1, 1, -1, 1, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 4, -1, 1, 0, 0, -1, 1, 0, -2, 1, 1, -1, 0, 0, 0, -1, 1, 1, 0, 0, -1, -1, -1, 4, 0, 0, 1, -1, 1, 0, 1, -1, 1, 0, -1, -1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 4, -1, -1, 0, -1, -2, 1, 0, -2, 0, 0, 2, 1, 2, 0, -1, 0, 1, 0, -1, 0, 0, -1, 4, 1, 0, -1, -1, -1, -1, 0, -1, 1, 0, 1, 0, 0, 1, -2, 0, -2, -1, 0, 1, -1, 1, 4, -1, 0, 1, 1, 0, 1, 1, -1, 0, -1, 0, -1, -2, 1, -1, 1, -1, -1, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, 2, -2, 0, -1, -2, 1, 1, -1, -1, 1, -1, -1, -2, 1, 0, -1, 2, -1, -1, 6, 2, 0, -1, 2, -2, 3, 0, -1, 2, 1, 0, -2, -1, 2, -2, -2, 2, 3, -3, -2, -2, 2, 6, 0, -1, 1, -2, 1, -1, 0, 0, 2, 2, -2, -1, 0, 2, -2, -1, -1, -2, 1, 1, 0, 0, 4, 0, 0, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 1, 1, 1, -2, 2, -2, 2, -1, -1, 0, 4, -2, -1, 0, -2, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, -1, 1, -1, -2, 2, 1, 0, -2, 4, 1, 1, 1, 0, 0, 1, 0, -2, 1, 0, 0, 0, 1, 1, -2, -1, 0, -2, -2, 1, -1, 1, 4, -2, 1, 1, -1, -1, -1, 1, 2, -1, 0, 1, 1, 0, 2, -1, -1, 3, 1, -1, 0, 1, -2, 4, 1, -1, 1, 0, 1, -2, 0, 1, 0, -1, 1, 2, -3, -1, -2, 0, -1, -1, -2, 1, 1, 1, 4, 0, -1, 0, 0, 0, 2, 1, 0, 0, 1, 1, -1, 1, 1, -1, 0, -1, 0, 0, 1, -1, 0, 4, 0, 1, 0, 1, 0, -2, -1, -1, -1, 0, 1, 0, 1, 2, 0, 1, 0, 0, -1, 1, -1, 0, 4, 0, 1, -1, 0, 0, -2, 0, 0, 1, -1, -1, -1, 1, 2, -1, 0, 1, -1, 0, 0, 1, 0, 4, 1, -1, 0, 1, 0, -2, -1, 0, -1, 0, -1, 0, 2, 1, 0, 0, -1, 1, 0, 0, 1, 1, 4, -1, 0, 0, 2, -1, -1, -1, 0, 0, 1, -2, -2, 0, 1, -2, 1, -2, 0, 1, -1, -1, -1, 4, 0, 0, -1, 0, 0, -1, 2, 0, -1, -1, -1, 0, -1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, -1, 0, -1, 2, 0, 0, 0, 0, -1, 1, 1, -2, 0, 1, 0, 0, 0, 4, 0, -1, 1, 1, -1, 0, -2, -2, 2, 1, 0, 0, 0, 0, 0, -1, -2, 0, 2, -1, 0, 0, 6, 0, -1, -2, 1, 1, 1, -2, -2, 1, 0, 0, 1, -1, 0, -1, 0, -2, -1, 0, 1, -1, 0, 4, 0, -1, 1, 1, 0, 2, -1, 1, -1, 1, 1, 1, 1, -1, 0, -1, -1, 0, 0, 1, -1, 0, 4, 1, 0, -2, -1, 3, -1, -2, -1, 1, 0, 2, 1, 0, 1, 0, -1, -1, 0, 1, -2, -1, 1, 6, -1, -1, 2, -3, -2, 2, 1, -2, 2, -3, -1, 1, -1, -1, 0, 2, -1, -1, 1, 1, 0, -1, 6, -1, -1, -2, 1, -2, -1, -1, -1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 1, 1, -2, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, -1, 0, 2, 0, 0, 1, 0, -1, 1, 0, 2, 1, 0, 0, 0, -1, -1, 0, 4, -1, 1, 0, 2, 0, -1, 0, -1, 1, 0, 0, 2, 0, 1, -1, 0, 1, 0, -1, 0, 1, -1, 4, 0, -1, 0, 0, 2, 1, 1, 1, 1, -2, 0, -1, 1, -1, 0, 1, 1, 0, 0, -2, 1, 0, 4, 0, 0, 1, -2, 0, -1, 1, 0, 0, 0, -1, 0, -1, 1, 1, 0, 1, 1, 0, 0, -1, 0, 4, -2, -1, -2, -2, -2, -1, -2, -1, 0, 2, -1, -1, 0, 1, -2, 0, -1, -1, 2, 0, 0, -2, 6, -1, 0, 0, 0, -1, 0, -1, 1, -1, 1, 0, -2, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 4, -1, 0, 1, 2, 0, 2, -1, -2, -1, 0, 2, -1, 0, 0, 2, 2, -1, 2, -2, -2, 0, -1, 6, 1, 2, 0, 1, 0, 0, -1, 2, 2, 0, 0, 1, -1, 0, 0, 0, 1, 0, -2, 0, 0, 1, 4, 2, 1, 1, 1, 1, 0, 1, 0, 0, -1, 2, 0, 0, 0, -1, 1, -1, -2, 0, 1, 2, 2, 4, 1, 0, 2, -1, -1, 0, 1, 0, -2, 2, -1, 0, 1, 1, 1, 1, -1, -1, 2, 0, 1, 1, 4, 1, 0, 1, -1, 1, -1, 2, 0, 1, -1, 1, 0, 0, 1, 0, -2, 0, 0, 1, 1, 0, 1, 4, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, -1, 0, -2, 0, -1, -1, 2, 0, 1, 2, 0, 0, 6, -2, 0, -2, 2, 0, -1, 1, 1, 1, 1, 2, 0, 0, 0, 1, -1, 0, 1, -1, 1, 0, -2, 4, 0, 2, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 2, -1, -2, -1, 0, -1, -1, 0, 0, 0, 4, 0, -1, -1, 1, 0, 1, -2, 2, 1, 1, 0, -1, 1, -1, 2, 1, 0, 1, 0, -2, 2, 0, 4, 0, 0, 0, 1, -1, -1, 1, -1, -1, -1, -1, 0, 0, 2, 0, 1, -1, -1, 2, -1, -1, 0, 4, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 2, 1, 0, 0, -1, 0, -1, 4, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, -1, 0, -1, -2, 0, 1, -1, 0, 1, 0, -1, 0, 4, -1, 1, 0, 0, 0, 1, 0, -2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, -1, 4, 1, 0, -1, -1, 0, 1, 0, -1, 0, -1, 0, -1, -1, 1, 1, -1, 1, -1, 0, 0, 1, 1, 4, 0, -1, 0, 0, 1, -1, -1, 2, 0, 0, 0, 1, 1, 1, 0, -2, -1, 0, 2, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 0, -1, -1, 1, 1, -1, -1, -2, 0, -1, 0, -1, -1, -1, 1, 1, -1, 2, 2, 4, 2, 2, 1, 0, -2, 0, 2, -1, 1, 0, -1, -1, -1, -1, 1, 0, 0, 1, -1, 2, 2, 2, 4, 0, 0, -1, 0, 0, 2, 0, 0, -2, 0, 0, -1, -1, 0, -1, -1, 1, -1, 2, 2, 2, 0, 4, 1, -1, -1, 0, 0, -2, -1, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 4, 0, 1, 1, 2, 0, 2, 2, 0, 1, -1, 1, 0, 2, 1, 2, 0, 2, -1, 0, -1, -1, 0, 4, -2, 1, 1, 0, 2, 3, -2, -1, 0, -1, -1, 1, 0, -1, 0, -2, -1, -2, 0, -1, 1, -2, 6, 0, 1, 0, 1, 0, 3, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 4, 0, 1, 0, 1, -1, 0, 1, 0, -2, 1, 1, 0, -1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 6, -1, 4, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, -1, -1, 0, -2, 0, 0, 0, 1, -1, 4, -1, 1, -1, 1, 0, 2, 0, 0, 0, 0, 0, 1, -1, 1, 0, -1, 2, 2, 1, 0, 4, -1, 6, 3, 0, 1, 0, 0, 1, 1, 1, 1, 1, -1, -2, 0, -2, -1, 2, 3, 0, 1, 2, 1, 3, 6, -1, 0, 0, 1, 0, 2, 1, 0, 1, -1, 0, -1, 0, 0, 0, -2, 3, -1, 1, -1, 0, -1, 4, 1, 1, 1, 0, 0, 1, 0, 1, -1, -1, -1, 0, -1, 1, -1, 2, 0, 0, 1, 1, 0, 1, 4, -1, 2, 1, 0, 1, 1, 0, 1, 0, -1, -1, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 4, 0, -1, -1, 0, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 4, 1, 0, 1, 1, 0, 1, -1, 1, 0, 0, 0, -1, 1, -2, 0, 0, 1, 0, 0, 1, -1, 1, 4, 0, 0, 0, 1, 1, -1, 0, -1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, -1, 0, 0, 4, 1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 4, 0, 0, 0, 1, 1, 1, 1, 2, -1, 0, 0, 2, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, 4, 0, 2, -1, -1, -1, 0, 0, 0, 2, -1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 4, -1, 2, 2, 2, 2, 2, -2, 0, 1, 0, 1, -1, -1, -1, 1, -1, 1, 1, 0, 0, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, -1, -2, -2, -1, 0, -1, 1, -1, -1, -1, -1, -1, -1, -2, -2, -2, 0, -1, 0, 4, 2, -1, 0, 2, 1, 2, 2, 0, 1, -1, -1, 0, 2, 1, 1, -1, 0, 1, 0, 1, 0, 2, 4, 0, 0, 1, 0, 0, 2, -1, -1, 0, -1, -1, 1, 0, 2, 0, 0, 0, -1, 0, 2, -1, 0, 4, 0, -2, -2, -1, 0, -2, 0, 1, 0, -2, -1, 0, -1, 0, -2, -2, -1, -1, -1, 0, 0, 0, 4, 2, 0, 0, 1, 0, -1, 0, -1, 0, 1, 2, 1, 1, -1, 0, -1, -1, -2, 2, 1, -2, 2, 6, 1, 2, 0, 1, 0, -2, -2, 2, 3, 2, 3, 0, 0, 2, 1, 1, -2, 1, 0, -2, 0, 1, 4, 2, 0, 2, -1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, -1, 2, 0, -1, 0, 2, 2, 4, 0, 1, 1, 0, -1, 1, 2, 2, 0, -1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 4, 0, -1, 0, 0, -2, 1, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -2, 0, 1, 2, 1, 0, 4, -1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, -1, 0, -1, 0, -1, 1, -1, -1, 4, -1, -1, 1, 0, 0, 0, -2, 0, 1, 1, 0, -1, -1, 0, 1, 0, -2, 0, 0, 0, 0, -1, 4, 1, -2, -1, 0, -1, 1, 0, 0, -1, 0, -1, -1, -1, 0, -1, -2, 1, -1, 0, 0, -1, 1, 4, -1, -1, -1, -2, 2, 1, -1, 1, 0, -1, 0, -1, -2, 0, 2, 2, 1, -2, 1, 1, -2, -1, 6, 1, 1, 1, 0, 2, 1, 0, 1, -1, 2, 1, -1, 1, 3, 1, 2, 1, 1, 0, -1, -1, 1, 4, 2, 1, -1, 0, 1, 0, 1, -1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, -1, 1, 2, 4, 1, 0, 0, 1, -1, 1, -1, 1, 2, -1, 1, 3, 0, 0, 0, 0, 0, -1, -2, 1, 1, 1, 4, 0, 0, 1, 0, 1, -2, -1, 0, 0, 1, 0, 1, -1, 0, 0, -2, 1, 2, 0, -1, 0, 0, 4, 1, 0, 0, 0, -2, 0, 0, -2, -1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 4, 1, 0, 1, -2, 1, 0, -2, 0, 2, 1, 2, 0, 1, 1, 0, -1, 1, 1, 1, 1, 0, 1, 4, 1, 1, 0, 0, -1, -1, -1, 1, 0, 0, -1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 4, 0, -1, 1, 0, -1, -1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, -1, 1, 1, -1, 1, 1, 1, 1, -1, 0, 1, -1, 2, -1, 1, 1, 0, 0, 0, 4, -1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, -1, -1, 1, 0, -1, -1, 1, 0, 2, 1, -1, 4, 0, 0, 0, -1, -2, -1, 0, 2, -1, 0, -1, 0, 1, -1, 1, 0, -1, 1, 0, -2, 1, 0, 4, 2, 1, 1, 2, 1, -1, 0, -1, 1, 0, -2, 1, -2, 0, -2, 0, 0, 1, -1, 2, 0, 2, 4, 2, 2, 1, 2, 1, 0, 1, 2, 0, -1, 2, -1, 0, -1, 0, 0, 2, 1, 2, 0, 1, 2, 4, 2, 1, 3, 1, 1, 1, 1, -1, 0, 1, 0, -1, -1, 1, -1, 2, 1, 2, -1, 1, 2, 2, 4, 2, 3, 1, 0, 1, 1, 1, -1, 0, 1, -1, -1, 1, 0, 2, -1, 2, -2, 2, 1, 1, 2, 6, 3, -1, -1, 0, 0, 2, 0, -1, 0, 0, -3, 0, 1, 1, 1, 2, -1, 1, 2, 3, 3, 3, 6, 0, 1, 1, 1, 1, 1, 1, 0, -2, -2, 2, -1, 3, 1, 1, 0, -1, 1, 1, 1, -1, 0, 4, 0, 0, 1, 0, 0, 0, 2, -1, 1, 1, -1, 1, 1, 0, 2, 0, 0, 1, 0, -1, 1, 0, 4, 0, 1, -1, 1, 1, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, 1, 1, 0, 1, 0, 0, 4, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, -1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 4, -1, -1, 2, -1, -1, -1, 0, 0, 2, 0, -1, -1, 0, 0, -1, 1, 2, 1, 0, -1, 0, -1, 4, 0, -1, 1, 0, -1, 0, 1, 0, 1, -1, 0, -2, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 4, -1, 0, 0, 1, 0, -1, 0, -1, 1, 1, 1, 2, 1, 0, -1, 1, 0, 1, 0, 2, -1, -1, 4, -1, 0, -1, 0, 0, 2, 2, 0, -1, -2, -1, 0, 1, 0, 0, 2, -1, 1, -1, 1, 0, -1, 4, -1, 1, 1, 0, 0, -1, -1, 1, 0, 0, -1, -1, 0, -2, -1, 0, -1, -1, 0, 0, 0, -1, 4, 0, -2, 2, -1, 1, -1, 0, -2, -1, -1, -1, -3, -2, 1, 0, 1, -1, -1, 1, -1, 1, 0, 4, 0, -1, -1, 1, 1, -1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, -2, 0, 4, -1, 1, 0, 0, 1, 0, 0, -1, 0, 1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 2, -1, -1, 4, -1, 0, 2, 0, 1, 2, 2, 2, 1, 3, 1, 1, 0, 2, 0, 0, 2, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 1, 2, 1, -2, 1, 0, 1, -2, 1, -1, -2, -2, -1, 2, 1, 0, 0, -1, -1, -1, 4, 1, -2, -1, 0, 0, 0, -1, 1, 2, 0, 1, -1, 0, -1, 0, -1, -1, 1, 1, 2, 1, 1, 4, -1, 0, -1, -1, -1, 0, 2, 1, 1, -1, 0, -1, -2, 1, 1, -2, -1, -1, 1, 1, -2, -1, 4, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, -1, 0, -1, 1, 1, 1, -1, -1, 2, -1, 0, 0, 4, 0, -2, 1, -1, 0, -3, -1, -1, 0, 0, 0, 1, 1, -1, 0, -1, 0, 1, 0, -1, 0, 0, 4, -1, 2, -1, -1, -2, -1, 1, -2, 0, 1, 2, 0, 1, 0, 0, 0, -2, 0, -1, 0, -2, -1, 4, -2, 0, -1, 2, 1, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 2, -2, 4, 0, -1, -1, -2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, -1, 0, 0, 4, -1, 2, 0, 0, 0, 0, 1, 0, -1, 1, -1, 1, -1, 1, 1, 2, 0, 0, -1, -1, -1, -1, 4, 0, 1, -1, 0, -1, -2, 0, 0, -2, 1, 0, 1, -2, 2, 1, 0, -3, -2, 2, -1, 2, 0, 6, 1, 1, 0, 0, -1, -2, -1, 0, 0, 1, 1, 1, 0, 1, 1, -1, -1, 1, -2, 0, 1, 1, 4, 0, -1, -1, -1, -1, 0, 0, 1, 0, 0, -1, 1, -1, 0, -1, 1, 1, 1, 0, -1, 1, 0, 4, 0, 1, 0, -1, 0, 0, 0, 1, 1, -2, -1, 0, -1, 0, -2, 0, 0, 0, 0, 0, -1, 0, 6, 1, 0, -1, -1, -1, -1, 1, 0, -2, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 4, 1, -1, -1, -1, -1, 1, 0, -1, -1, -2, 0, 0, 1, 0, 0, 1, -2, -1, -1, 0, 0, 1, 4, 1, -1, 1, 0, 1, 0, 2, 0, 1, -1, 1, 2, -2, 1, 0, 0, -2, -1, -1, -1, -1, 1, 4, 0, 0, -1, 0, 0, 1, -1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -1, 0, 4, 0, 0, -2, 0, 0, -1, -2, 1, -1, 1, 1, 1, 1, -2, 0, 0, 0, -1, -1, 1, 0, 0, 4, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, 0, -1, 1, 0, 1, 0, -1, -1, 0, -1, 0, 0, 4, 1, 1, -1, 1, -1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, -2, 0, 1, 4, 0, -1, 2, 1, -1, 0, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 1, 0, 2, -1, 0, 0, -1, 0, 2, -1, -1, -2, -2, 1, -2, 2, 2, -1, 2, 2, 4, 2, 2, 0, 0, 0, 1, 1, -1, -1, 1, 0, -1, -1, -1, 0, -1, 0, 1, 0, 2, 1, 2, 4, 0, -1, 0, 0, -1, 2, 0, -2, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 2, 0, 4, 1, -1, 1, 2, -1, -2, 0, 1, 0, 1, -1, 0, -1, -2, 0, 1, 1, 0, 0, 0, -1, 1, 4, -1, 0, 2, -2, -2, 2, 2, -1, 0, 1, 1, 1, -2, 1, 2, 1, -2, 2, 0, 0, -1, -1, 6, 1, -2, 0, 1, -2, -1, -1, -2, -1, -1, 2, 1, 1, -1, -3, 3, -1, 0, 0, 1, 0, 1, 4, -1, 0, -1, -1, -2, -1, -1, 0, 2, 0, 2, -2, -2, -1, 1, 0, 1, -1, 2, 2, -2, -1, 4, -1, -1, 2, 1, 1, 1, 0, 0, -1, -3, 1, 1, 2, -2, 0, 1, 2, -1, -2, 0, 0, -1, 4, 0, -2, -1, 0, 0, 0, -1, 0, 2, -1, -1, 0, 2, -1, -1, 0, -2, -2, 1, -1, -1, 0, 6, -2, -3, 0, -1, -1, 0, -2, 0, 0, -3, -1, 1, 0, -1, -2, 0, 2, -2, -1, 2, -2, -2, 6, 1, 0, 1, 0, 0, 1, -1, 2, 1, 1, -3, 2, 1, 0, 1, 2, -1, -2, 1, -1, -3, 1, 6, 1, 1, 1, -1, 1, -2, 1, 4, 1, -1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 0, 1, 4, 1, 1, 0, -1, 0, -1, 0, 1, -1, -1, -1, -1, 1, 0, -2, -1, 1, 0, -1, 1, 1, 1, 4, 1, 0, -1, 0, 0, 1, 2, -2, -2, -1, 0, -1, 1, -1, 0, 0, 0, -1, 0, 1, 1, 1, 4, 1, 0, 1, -1, 1, 1, -2, -2, -1, 0, 0, 1, -1, 2, 0, -1, 0, 0, -1, 0, 0, 1, 4, 0, 1, -2, -1, 0, -1, 1, 0, 0, -1, 1, 2, 0, -1, 0, -2, 1, 1, -1, -1, 0, 0, 4, 1, 1, 1, -1, 1, -2, -1, 1, -2, -2, 1, 2, -3, 2, 0, -1, -2, 0, 0, 1, 1, 1, 6, -2, -2, -1, 1, 2, 0, -1, 0, 1, 1, -2, 1, -1, 0, 2, 1, -1, 0, -1, -2, 1, -2, 4, 1, 0, 0, 2, 1, 0, 1, 2, -1, -2, 1, -1, -3, 1, 4, 0, 1, 1, -1, 1, -2, 1, 6, 2, -1, -1, 0, -1, 1, 1, -3, -1, 2, 0, -1, 1, 1, 1, 2, 1, 0, -1, -1, 0, 2, 4, -2, 2, 2, 1, 0, -2, 3, 1, -2, 2, 1, -3, -1, -1, -2, -2, -1, 1, 1, 0, -1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, -1, 1, 2, 0, 1, -1, -1, 0, -1, 0, 0, -1, 0, 1, 0, 1, 0, 0, -2, 2, 4, -1, -2, 2, 0, 1, 0, 0, 1, 0, 0, 0, -1, 1, -1, 2, 1, -1, 0, 1, -2, -1, -1, 4, 0, 0, 1, -1, 1, 2, -1, 0, 0, 0, -1, 0, -1, -2, -2, 1, 0, 1, 1, -1, -2, 0, 4, -2, 0, 1, 1, 0, 0, -1, 0, -1, 1, -1, 1, -2, 0, 0, -1, -1, 2, 1, 2, 0, -2, 4, -1, 1, -1, -1, 0, 1, 1, 1, 0, 0, -2, 1, 1, -1, 1, 0, -1, 2, 0, 1, 0, -1, 4, -1, 2, 0, -1, -1, -1, -1, -1, 0, 1, 0, -2, 1, -1, 1, -1, 0, 1, -1, 1, 1, -1, 4, 1, -1, 1, 0, 1, -1, 0, 1, 0, -1, 1, -1, -1, 0, 0, 1, 0, 1, 1, -1, 2, 1, 4, 1, 0, 0, -1, -2, 0, 0, 1, -1, -1, 1, -2, 0, 0, -1, 0, 2, 0, -1, 0, -1, 1, 4, 1, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, -1, 1, 0, 1, 4, -1, 1, -1, 1, 2, -1, 2, 1, -2, -1, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, -1, 4, -1, 0, 1, -1, 1, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 1, -1, 1, -1, -1, 1, -1, 4, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, -1, -1, -2, 0, -1, 0, -1, 4, -1, 0, -1, 0, 1, -1, 2, 0, 0, 0, -1, -1, 1, 0, -1, 0, 0, 0, 1, 1, 0, -1, 4, -1, 0, 1, 1, 0, 0, -2, 1, -1, 1, 0, -1, 0, 0, 1, 0, 1, 2, -1, 0, 0, -1, 4, 0, 0, 0, -2, 0, 1, 0, 0, -1, -1, 1, -2, 1, 0, 1, -1, -1, 1, -1, -1, 0, 0, 4, -1, 0, 1, -1, 0, 1, 1, 2, -2, -2, 1, 0, -1, -1, 0, 2, 0, 1, 0, 1, 0, -1, 6, 2, -1, 0, -1, -2, 0, 1, -2, 0, 1, -2, 1, -1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 4, -1, 1, -1, 0, 1, -1, 1, 0, -1, 1, -1, 1, 0, -2, 1, 0, -1, 0, -2, 1, -1, -1, 4, -1, 0, 0, 0, 0, 0, -1, 1, -1, -1, -2, 0, -1, 0, -1, 2, 0, 0, -1, 0, 1, -1, 4, 1, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, -1, -1, 0, 0, -2, 1, 0, -1, -1, 0, 1, 4, -1, -2, -2, 1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 1, -1, 0, 1, -1, -1, 1, 1, 0, -1, 0, -1, 1, 1, -1, -2, 4, -2, 2, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -2, 1, 2, -2, 4, -2, -1, 0, -1, -1, -2, 1, 0, -1, -1, 2, 0, 0, -1, 1, -1, 0, 2, -1, -2, 2, -2, 4, 1, -1, 2, 0, 2, -1, 0, 0, 1, -2, -1, 1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 1, 4, 2, 2, 2, 2, -1, -1, -1, 2, -1, 1, 2, -2, 0, -1, -1, -2, 1, 1, 1, 0, -1, 2, 4, 1, 2, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, -1, -2, 1, -1, 1, -1, 2, 2, 1, 4, 0, 1, -2, 0, 0, 2, -1, 1, 2, -2, 0, 0, -1, 0, 0, 1, 1, -1, 0, 2, 2, 0, 4, 1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, -2, 0, -1, 1, -2, 2, 2, 0, 1, 1, 4, 0, 0, 0, 1, -2, -1, 1, -1, 0, 0, -1, -1, 1, 0, 1, 1, -1, -1, 0, -2, 0, 0, 4, 0, 1, -1, 1, -2, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, -1, 0, 0, 2, -1, -1, 1, -1, 0, -1, -1, 0, 0, 0, 1, 0, 4, 1, -1, -1, 0, 0, 1, 1, 0, 1, 0, -1, 1, -1, 1, 2, 1, 2, 1, 1, -1, 0, 1, 4, -1, 0, 1, -2, 1, -1, -1, 0, 1, 1, -1, 2, -2, -1, 1, -1, -1, -2, 1, 1, -1, -1, 4, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1, 1, 1, 0, -1, -2, 0, -1, 0, 1, 4, 1, 1, 0, 0, -1, -1, -1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 4, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -1, -2, -1, -1, 0, 0, 0, -2, 1, 1, -1, 6, 0, 1, -1, -1, -1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 4, 0, 0, 1, 0, -1, 1, -1, 0, -1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 1, 0, 4, 0, -1, 0, 1, 1, 0, 1, -1, -1, -1, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 6, 1, -1, 1, -2, 2, 0, -2, -2, 0, -2, -1, 0, 2, 1, 0, 0, -1, 0, -1, 1, -1, 1, 6, -2, -1, 1, -1, 0, 1, 1, 0, 0, 1, 1, -1, 0, 1, 0, -1, -1, -1, 0, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 1, 2, -2, 2, -1, -1, 0, -1, -2, 2, -2, -1, 1, 0, -2, -2, -1, 0, -1, -2, 4, -1, 1, -1, 1, 0, 0, 1, -1, 2, 1, -1, 0, 2, -1, -1, 0, 0, 2, 1, 2, 1, -1, 4, 0, -1, 0, -1, -1, -2, 2, 1, 0, 0, -2, 1, 2, 1, -1, -2, 1, -1, -2, 1, 1, 0, 6, 3, 1, 1, -2, 0, 2, 3, 0, -1, 1, 3, 1, -2, -1, 0, 3, 2, -1, 2, -1, -1, 3, 6, -1, 1, -2, 1, -1, -1, 0, 1, 0, 0, 1, -1, -1, 1, -1, 1, -2, -2, 1, 0, 1, -1, 4, -2, 1, 0, 1, 1, 1, -1, 2, 2, 0, 0, 2, 2, 1, 0, -1, 2, 0, -1, 1, 1, -2, 4, -1, 1, 0, 0, -2, 1, -1, 0, -1, 0, -2, -2, 0, 0, 1, -1, 0, -1, -2, -2, 1, -1, 4, -1, 0, 0, -1, 1, 2, -1, 0, 0, 2, 1, 0, 0, 2, -1, 1, -2, 0, 1, 0, 1, -1, 4, -1, -1, 1, 0, 0, 1, -2, 0, 0, 0, -1, 0, 0, 0, -1, 2, 2, -1, 1, 0, 0, -1, 6, 2, 0, 0, 2, 2, 2, 0, 0, -2, 2, 0, -2, -1, 2, 1, 3, -1, 1, 0, 0, -1, 2, 6, 0, -2, 0, 3, 1, -2, 0, -1, 4, 1, 1, -2, 1, 0, 0, 0, 1, -2, -1, 1, 0, 0, 4, -1, 0, 0, 0, -1, 1, 1, 0, 1, -1, 2, -1, 0, -1, 1, -1, 1, 1, 0, 0, -2, -1, 4, 0, -1, 1, 0, -1, -1, -2, 0, 0, -2, 0, -2, 1, 0, 2, -1, 2, 0, 2, 0, 0, 0, 6, 1, 0, -1, 2, 3, 0, 1, 1, -1, 2, 1, 3, 0, 2, 0, -1, 1, 2, 3, 0, -1, 1, 6, 1, -1, -1, 0, 3, 1, 0, 1, -1, 2, 1, 1, 0, -1, 0, -2, 2, 1, 0, 1, 0, 1, 4, -1, -1, 0, 1, 1, -1, 0, -1, 1, -2, -1, 0, 0, 0, 0, 0, -2, -1, 0, -1, -1, -1, 4, 0, -1, -1, -2, -1, -2, 0, -1, -1, -1, 2, -2, 2, 0, 0, 0, 1, -1, 2, -1, -1, 0, 4, 2, 0, 0, 0, -2, 0, -2, 0, 1, 2, -2, 1, 0, -2, -1, 1, -1, 3, 0, 0, -1, 2, 6, -1, 1, 1, -1, 2, 1, 3, -1, 1, 0, 0, -1, 2, 4, 0, -2, 0, 3, 1, -1, 0, -1, 6, 2, 1, 0, 1, -1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, -2, 0, 1, 2, 4, 1, -1, 2, -2, -1, -2, -1, 1, 2, 0, -2, 1, -1, 0, 1, 0, -1, -1, 0, 1, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 1, 1, -1, -2, 1, -2, -2, -1, -1, 2, -1, 1, 0, 1, 1, -2, -2, 0, 2, 4, -2, -1, -1, 0, -1, -2, 2, -2, -1, -2, 1, 1, -1, 2, 1, 1, 1, -2, -1, 0, -2, -2, 4, 1, 1, -1, 2, 2, -1, 2, 2, 2, 0, -2, 0, -2, -1, -1, 0, 2, 2, -1, -2, -1, 1, 6, -3, -2, -1, 1, -2, 1, 0, 2, -2, -3, -2, 1, 2, -2, -3, 1, 3, -2, 1, -1, 1, -3, 6, 1, 2, 1, 1, 1, 0, -1, 1, 0, 1, -2, -1, 1, 3, 1, 0, 1, 1, 0, -1, -2, 1, 4, 1, -1, 1, -1, -1, -1, 0, 0, 0, 1, -2, 2, 0, -1, 0, 2, -1, -1, 2, -1, 2, 1, 4, 1, 1, 1, 1, 1, 0, -1, 0, -1, -2, 1, 0, 1, 1, 1, -2, -2, 2, 1, 1, -1, 1, 4, 0, 1, 1, 1, 1, -2, 1, -1, 0, -1, -1, 2, 1, -1, 1, 2, -1, -2, 1, 1, 1, 0, 4, -2, -1, -1, 2, 1, 0, 1, 0, 1, 0, 0, -1, 0, -2, -2, 2, 1, 1, -1, 1, 1, -2, 4, 1, 1, 0, -2, 1, -2, -1, 0, 1, 1, 2, 0, -2, -1, 2, 0, 0, -1, 1, 1, -1, 1, 4, 0, 1, 0, 1, -2, 0, -1, 1, 1, 0, 0, -1, -2, 2, 2, -1, -1, 1, 1, -1, 1, 0, 6, -3, -2, 0, -1, -1, 0, -1, 1, 2, -1, -1, 1, 0, -2, 1, 0, 0, 1, 2, 0, 1, -3, 6, 0, 2, -1, 1, -1, 2, 1, 0, 0, 2, 1, -2, -3, 0, 0, -1, -2, 1, -2, 0, -2, 0, 6, 0, 0, 0, 0, 0, -1, -4, 1, -1, -1, 0, -2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 4, -1, -1, 0, 2, 1, 0, 0, 1, 2, -2, 1, -2, 1, -1, -1, 1, -2, -2, -1, -1, 0, -1, 4, 0, 1, -2, -1, 0, 0, 0, 1, -1, 2, -1, -2, -2, 0, 0, -1, 0, -1, 1, 0, -1, 0, 4, -2, 0, 0, 0, -1, 1, 1, -1, -2, 1, 2, 1, -1, 1, 0, -1, 0, -1, 0, 0, 1, -2, 4, 1, -1, 0, 2, 1, 1, 0, -3, 3, 0, 0, -1, 0, 1, 1, -1, 2, 0, 2, -2, 0, 1, 6, -1, 0, 1, -2, -2, 2, 1, 1, -1, 1, 2, 0, 1, 1, 1, 1, -1, 1, -1, 0, -1, -1, 4, 2, -1, -2, -1, 2, 3, 0, 0, 1, 1, -1, 2, 0, 2, 0, -4, 0, 0, 0, 0, 0, 2, 6, -1, 0, 0, -1, -2, 1, 2, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, -1, 2, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 0, -1, 0, 2, -2, 0, 0, -1, -1, -1, -1, 0, 0, -2, 0, -2, 0, -1, 0, -1, 4, -1, -1, 0, 1, -2, 2, 1, -1, 2, 2, 0, -1, 0, 1, 1, 1, 2, -1, 0, 1, -1, -1, 4, -1, 2, 1, -1, 0, -1, 1, 0, -1, 2, 2, -1, 1, -1, 0, 1, 0, 1, -2, 0, -1, -1, 4, -1, -2, 1, 0, -1, -1, -1, -1, 0, 0, 1, -2, 0, 1, 0, -1, 1, 0, -1, 0, 2, -1, 4, 0, -1, -1, 1, 0, -1, -1, 2, 0, -2, 0, 0, 0, 2, 0, 0, -1, 0, 1, 1, -2, 0, 4, -2, 1, 1, 0, 1, 2, 0, 1, 1, 1, -1, 1, -1, -1, -1, -1, 2, -2, -1, 1, -1, -2, 4, -2, 0, 0, -2, -1, -1, 0, 0, -1, -1, -1, -2, 1, 0, 0, -2, 2, 0, 0, -1, 1, -2, 4, 0, -1, 2, 1, 0, 1, 1, 1, 1, 1, 1, -1, 0, 0, 0, 1, -1, -1, 1, 1, 0, 0, 4, -1, 0, 2, 0, -1, -1, -1, 1, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, 0, 0, -1, -1, 4, -1, -1, -1, 1, -1, 1, 0, -2, -1, 2, 1, 0, -1, 2, 0, -1, -1, 1, -2, 2, 0, -1, 6, 0, 1, -1, 1, 0, 2, 0, 0, 0, 1, -1, -1, 2, -1, -1, -1, 2, -1, 1, 2, -1, 0, 6, -1, 0, 0, 0, 1, 0, 1, 0, -1, 1, -1, 0, 2, 0, 2, 0, -1, 0, 0, -1, 1, -1, 4, 0, -1, 0, 0, 0, 1, -1, 1, -1, -1, -1, 2, 0, 0, 1, 0, 1, -1, 1, -1, 0, 0, 4, 0, 1, -1, 0, -1, 0, 1, -1, 0, 0, -1, 1, -2, 1, 0, 1, -1, -1, 1, 0, -1, 0, 4, -1, -1, 1, -1, -1, -1, 0, 0, 1, 1, -2, 0, 1, -1, 1, -1, 1, 0, 0, 0, 1, -1, 4, 0, 0, 0, 0, 0, 1, -2, 1, -1, 0, 0, -1, -1, 1, 1, 0, 2, 1, 0, -1, -1, 0, 4, -1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, 0, -2, 0, 0, 0, 0, 1, 0, -1, 4, 1, -2, 0, 0, -2, 2, 1, 0, 2, -1, -2, 1, 0, -1, 0, 1, 1, -1, -1, 0, 1, 1, 6, -1, 0, 1, 0, -1, 0, -1, 0, -1, 1, -1, 0, 2, 0, 0, -1, 0, -1, 0, 1, -2, -1, 4, 1, 0, -1, 0, 1, 1, 0, -1, 0, 0, -1, 1, 1, -1, 1, 1, -1, 0, 1, 0, 0, 1, 4, -1, 0, 1, -2, 0, -1, -1, 0, 0, 0, 0, -1, 1, -1, -1, 0, 1, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, 2, -2, 0, -1, 1, 1, -2, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 0, -1, 4, -2, 2, 0, 1, -1, 0, 1, -1, 1, -1, 1, 2, 0, -1, -1, -1, 2, 2, 0, 0, 2, -2, 4, -2, 0, -2, 0, 0, 1, 1, -1, 0, -1, -1, 0, 1, 1, 1, -1, -1, 0, 1, -1, 2, -2, 4, -1, 2, -1, 1, 0, 0, 1, -1, 1, 2, 1, 0, -2, -1, 0, 2, -1, 0, 2, 0, 0, -1, 4, 0, 1, 0, 1, -1, 0, 2, 0, 0, -2, 0, 1, 0, -1, 0, 2, 0, -2, 1, -2, 2, 0, 6, -1, 2, 1, 0, 1, -1, 0, 3, 0, 1, -3, -1, 0, 3, 0, 1, 0, -1, 0, -1, 1, -1, 4, 0, 0, 0, 1, 1, -1, -2, 0, -1, 2, 2, 0, -2, 0, 0, -1, 0, 0, 1, 0, 2, 0, 4, 1, -1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 4, 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, 1, 1, 1, -1, 1, 0, -1, 0, 0, -1, 1, 4, 0, -1, -1, -1, 0, 0, -1, 0, 0, -1, 0, -1, -2, 1, -1, 1, 0, 1, 1, 0, 0, 0, 4, 0, 0, 1, 0, -2, -1, 2, 0, 1, 0, 0, 1, -1, 0, -1, 2, -1, 1, 0, 0, -1, 0, 4, 1, 0, -1, -1, 1, 0, -1, 0, 1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 0, -1, 0, 1, 4, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, 2, -1, 2, 0, 3, -2, 0, 0, -1, 1, 0, 0, 6, 0, 0, -2, -1, -1, 4, -1, 1, -1, 0, 0, 1, -2, 0, 0, -1, -1, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, 1, -2, 0, 1, -1, 1, 0, 0, 1, -1, 1, 1, 0, -2, -1, -1, 0, 0, 4, 0, -1, -1, 0, 0, 1, 1, -1, 1, -2, 1, -3, 2, -1, -1, -1, -1, 1, 0, -2, 0, 0, 4, 1, 0, -2, 0, 0, -1, -1, 1, -1, 0, -1, 2, 0, 0, 0, 2, 0, 0, -1, 0, -1, 1, 4, 0, -1, 0, 0, -1, 2, -1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 1, -1, 0, -1, 0, 0, 4, -1, 0, 0, -1, 2, -1, 2, 0, 3, -2, 0, 0, -1, 1, 0, 0, 4, 1, 0, -2, -1, -1, 6, 0, 1, 1, 0, 0, -1, 2, 0, 0, 1, 1, 0, 0, 1, 0, -1, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 2, 1, -1, 1, 1, -1, 2, -1, 0, 1, 1, 1, 1, -2, 1, 2, 0, -1, -1, 1, 4, 0, 1, 2, -1, 0, -1, 0, 0, -2, 0, 0, -1, 0, 1, -2, 0, 1, 0, -1, 0, 1, 0, 4, -1, -1, -2, 0, 2, 0, -1, -2, 0, 0, -1, 0, 1, -1, 0, -1, 0, -1, -1, 2, 1, -1, 4, 0, 0, 1, 0, -1, 1, 0, 1, 1, 0, 1, 0, -1, 1, 1, 1, 0, 1, 1, 2, -1, 0, 4, -1, 0, -1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, 2, 0, -1, 0, -1, -1, -2, 0, -1, 6, -2, 0, 2, -1, 2, -2, 0, 1, 0, -1, 3, -2, -1, -2, 0, 1, 1, 0, 0, 1, 0, -2, 4, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, -1, 1, -1, 2, 0, -1, 0, 1, 4, 1, 0, 0, 0, -1, 1, -1, 0, 0, -1, -1, 0, -1, -1, -1, 0, 0, -1, 0, 2, 0, 1, 4, -2, 1, -1, -1, 1, -1, -1, 2, -1, 0, -1, -1, -1, 2, 0, -1, 1, 1, -1, 1, 0, -2, 4, 0, 1, 1, 1, 0, 1, -2, 1, 1, 1, 0, -1, -1, -2, -2, 0, 0, 2, 1, 0, 1, 0, 4, 0, -1, 1, 0, -1, 3, -1, 1, 0, 1, 1, 0, 0, 0, 1, 0, -2, 2, 0, -1, 1, 0, 4, 1, -1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, -1, 0, 0, -1, -1, 1, -1, 1, 4, -1, 2, 1, -1, 2, 1, 1, 1, 0, 1, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, 4, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, 0, 2, 0, 4, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 1, 0, 0, 4, -1, 0, 0, 1, 0, 0, -2, -2, -1, -1, -1, 3, 0, 0, 2, -2, 3, 0, -1, 0, 0, -1, 6, -2, 0, -1, 1, 1, 1, 0, 0, 1, 0, -2, 0, -1, -1, 1, -1, 1, 2, 0, 1, 0, -2, 4, 1, 1, 1, 0, 2, 1, -1, 1, 2, -1, 2, -1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 6, 0, 1, 0, 0, 0, 0, 1, 0, -2, 2, 0, -1, 1, 0, 2, 1, -1, 0, 1, -1, 1, 0, 4, 1, 0, -1, -1, -1, 0, -1, 0, 0, -1, -1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 4, 1, -1, 0, -1, 1, 0, 1, -1, -1, -1, -1, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, -1, -1, -1, 1, -1, 1, 1, -1, 0, 0, 0, -1, 0, 2, 0, 0, -2, 1, -1, 4, 1, 0, 2, -1, 0, 1, -1, 0, -2, 2, 1, 1, 1, 2, -1, 0, 1, 1, -1, -1, 0, 1, 4, -1, -1, -2, 0, -1, -2, 1, 0, 2, 1, -1, 0, 0, 0, -1, -1, -1, -1, 1, 2, 0, -1, 4, -1, 0, 0, 2, -1, 1, -1, -1, -1, 1, -1, 0, -1, 2, 1, 1, -2, 0, -1, 2, -1, -1, 4, 1, -1, 0, 1, 0, -1, 1, 1, 0, 1, 2, -1, 0, 0, 0, 0, -1, -1, -1, -2, 0, 1, 4, -1, 0, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, -1, 2, -1, -1, 0, 0, 0, -1, -1, 4, -1, 1, -1, 0, 0, -1, 1, 1, -1, -1, -1, 0, 1, 1, 1, 1, 1, -1, 2, 0, 0, -1, 4, -1, 1, 0, 0, 0, 1, -1, 1, -1, 2, 1, 1, -2, 0, -1, -1, -2, -1, 1, 1, 1, -1, 4, -2, 1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, -1, 1, -2, 4, 0, 0, -1, -1, -2, 0, -1, 1, -1, -1, -1, 0, 1, -2, 0, -1, -1, 0, 0, 0, 1, 0, 4, 0, 0, -1, 0, -1, 1, 0, 0, -1, 0, 2, -1, 2, 2, -1, 1, 0, 0, 0, -1, 0, 0, 4, 1, -1, 1, 1, 0, -1, 1, -1, 0, 1, 0, 1, 1, -1, 1, -1, -1, 0, 0, -1, 0, 1, 4, 1, 1, 1, 0, 0, -1, 1, -2, 1, 0, 1, -1, 1, 0, -1, 1, 1, 0, -1, -1, -1, 1, 4, 1, 1, 0, 1, 0, 2, -1, 0, 0, 1, 0, -1, 1, -1, 1, -1, 1, -2, 0, 1, 1, 1, 4, 1, 0, -1, 1, 1, 1, 1, -1, 2, 0, 0, 2, 0, -1, 1, -1, 0, -1, 1, 1, 1, 1, 4, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, 1, 0, 0, 0, 0, -1, 4, 0, 0, -1, 1, 0, 2, 0, -1, 2, 0, -1, -1, 2, -1, 1, 0, -1, 0, 1, -1, 0, 0, 4, 0, 1, -2, 0, 0, 1, -1, 1, 0, 1, 0, 1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 4, 0, 1, 0, 0, 1, -1, 1, 0, -1, 1, 1, 0, -1, -1, -1, 1, 2, 1, 1, -1, 1, 0, 4, 0, 0, -2, -1, -1, -2, 0, 2, 1, -2, 1, -1, 0, 0, -2, -1, 1, 0, 1, -2, 1, 0, 6, -1, 1, -1, 1, 0, -1, -1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 1, 0, -2, 0, 1, 0, -1, -2, 1, 0, -1, -2, 2, -2, -1, 0, 0, 1, 0, 4, -1, 1, 2, 1, 0, 0, 1, -1, 1, -1, 1, 0, -1, 1, 0, 0, 1, -1, -2, 0, 1, -1, 4, 0, 1, 1, -2, 0, -1, -1, 1, -1, 1, 0, -1, 0, -1, -2, -2, -1, -1, -1, -2, 1, 0, 4, 0, 1, 0, 1, -1, -1, 1, 0, -1, -1, 1, 1, -2, 1, 0, -1, -2, -1, 1, 2, 1, 0, 4, 0, -2, -1, 0, 0, 0, -1, 2, -1, -2, 0, 0, -2, -1, 0, -1, -1, 0, 1, 1, 1, 0, 4, 1, 0, 1, -2, 2, -1, 0, 1, 0, 1, -1, 1, 0, -2, -1, 0, -2, 0, -2, 0, -2, 1, 6, -1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 4, 1, -1, 0, 2, 0, 0, 0, 1, -1, 0, -1, 4, -1, -1, -1, 0, -1, 1, 1, 1, 1, 1, 0, -1, 1, 1, 1, 1, -1, -1, 0, 1, 0, -1, 4, 0, 1, 0, 0, 1, 0, -1, 1, 0, 2, 0, 0, 0, 0, -1, -1, -1, 0, -2, -1, -1, 0, 4, -1, 0, 0, 0, 1, 0, 0, -1, 0, 2, 1, -1, -1, 1, 1, 1, 0, 2, 1, -1, 1, -1, 4, 0, 0, 0, -1, 1, -1, 1, 1, -1, -1, -1, -2, -1, -1, 0, -1, -1, 1, 0, 0, 0, 0, 4, -1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, -1, 2, 0, 0, -1, 0, 0, 0, -1, 4, -1, -1, -1, 1, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 1, 1, 0, 0, 1, -1, 4, 0, 1, 0, 1, 0, -1, 1, 1, -1, -1, -1, 1, -2, 0, 0, 1, 0, 1, -1, 0, -1, 0, 4, 1, -1, 0, 1, 1, 1, -1, -2, 1, 0, 1, 0, 1, 0, 1, -1, 0, 1, 0, -1, 1, 1, 4, -2, 1, 0, 0, 0, -1, 2, 0, -1, -2, 0, -1, 0, 1, 1, 0, -1, 0, 1, 0, -1, -2, 4, 0, 1, 0, 2, 2, -2, 0, -2, 1, -2, 1, 4, 1, 0, -1, 1, 2, -2, 1, 0, 1, 0, 6, 1, -1, 1, 2, -1, 1, -2, 0, -1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 4, 0, 1, 0, 0, -1, -1, -1, 0, -2, -1, -1, 0, 2, -1, 0, 0, -1, 1, 0, 0, -1, 0, 4, 2, -1, 0, -2, -1, -2, -1, -1, 0, 1, 0, 1, -1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 6, 0, 1, 0, -1, -1, -1, 0, 2, 1, 0, -1, -1, 0, 0, 1, -1, -1, 2, 2, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, -2, -2, 0, 1, 1, 0, 0, -1, 1, -2, -1, 1, 0, 2, -1, 1, 1, 4, -2, 0, 0, 0, 1, -2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, -1, -1, -1, -2, 4, -1, 0, 0, -1, 1, -1, -2, -1, 1, 1, -1, 1, -1, 0, -2, -1, -2, 1, -1, 1, 0, -1, 4, -1, 1, 1, 0, -1, 0, 1, -2, -2, 0, 0, 1, -2, 0, -1, 2, -1, 1, 1, 0, 0, -1, 4, 2, -1, -2, 0, 0, -1, 0, 2, -1, 0, -1, -1, 0, -1, 1, 0, 0, 2, 0, 0, 1, 2, 4, -2, -1, 0, 0, 1, 0, 1, -2, 0, -2, -2, 0, -2, 2, 0, 0, -2, 1, -1, 1, -1, -2, 4, 0, 0, 0, 0, -1, -1, 1, -1, 3, 1, 0, 1, 0, -1, 0, -2, -2, 1, 0, -2, -1, 0, 6, 1, -1, 1, 0, -1, 1, 0, -1, -1, -2, -1, -2, 0, 0, 0, 1, -1, -1, 0, 0, 0, 1, 4, 0, 1, 1, -1, 1, -1, -2, 1, 1, 1, 1, -1, -1, 1, 2, -2, 0, 0, 0, 0, -1, 0, 4, 1, -1, 0, 1, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, -1, 1, -1, 1, 0, 1, 1, 1, 4, -1, -1, -1, 0, -2, 0, 1, -1, 0, -2, 1, 0, 0, 1, -2, 0, 0, -1, 0, 1, -1, -1, 4, 1, 0, -1, -1, 1, -1, 1, 0, 1, -1, 0, 0, 1, -2, 2, 1, -1, -1, -1, 0, -1, 1, 4, -2, 1, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, -1, -2, 1, 1, 1, 1, -1, 0, -2, 4, -1, 1, 0, 0, 1, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, -1, 1, 0, -1, 1, -1, 4, -1, 0, -1, 0, 0, -1, 0, -2, 0, -1, 1, -1, -2, 3, -1, -2, 0, -2, -1, 0, 1, -1, 6, 1, 0, 1, 0, 1, 1, -1, 1, 0, -2, -1, -2, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 4, 1, 2, -1, 0, 0, 1, 1, -2, 0, 0, 0, 0, -2, 1, 1, 1, -1, -1, 0, -1, 0, 1, 4, 1, 1, 0, 1, 0, 1, -1, -1, -1, -2, 1, -1, 1, 0, -1, 1, 0, 1, 0, 1, 2, 1, 4, 0, 0, 0, 2, 2, -2, 2, 1, 2, 0, -2, 1, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 6, 0, 0, -1, -1, 1, -1, 0, 0, -1, 0, -1, -1, -2, 1, 1, 0, -1, 1, 0, 0, 0, 0, 4, -1, 1, -1, -1, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, -1, 0, 1, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, -2, -1, -1, -1, 1, 1, 0, 0, 0, 4, 1, -1, 0, 1, 2, 1, 2, 0, 1, 2, -1, 2, -2, -1, -2, -1, -1, 1, 0, 1, 1, 1, 4, -2, 0, 0, 1, 0, 1, 1, 0, -1, -1, 1, -2, 0, -2, 0, -1, 0, 1, -1, -1, -1, -2, 4, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 2, -1, 2, 1, 0, -1, 0, -1, 0, 0, 0, 1, 4, 1, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, 1, 2, 0, -2, 0, -1, 2, 1, 0, 1, 1, 6, 2, 3, 2, 1, 3, 1, -1, 2, 0, 0, 0, -1, 1, 1, 0, 0, 0, 2, 1, -1, 0, 2, 4, 1, 2, 0, 1, 1, -1, 2, -1, 0, -2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 3, 1, 4, 0, 0, 2, 1, 0, 1, 0, 0, -1, -1, 0, 1, -1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 4, 1, 1, 1, -2, 2, -2, 0, -1, 0, -1, 0, 0, 0, 2, 0, 1, -1, 0, 1, 0, 0, 1, 4, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, -1, 2, 1, 0, 0, 1, 3, 1, 2, 1, 0, 4, 1, 0, 0, -2, 0, -1, -1, 0, 1, 0, 0, 0, 2, -1, 0, -1, 1, 1, 1, 1, 0, 1, 4, -1, 1, -1, 0, -1, -2, -1, 1, 0, 1, 1, -1, -1, 0, 1, -1, -1, 0, -2, 0, 0, -1, 4, -2, 1, -1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, -2, 4, -1, 0, -1, 0, -1, 0, 1, 0, -2, -2, -2, 2, 0, 0, -1, 0, -2, -1, -2, -1, 1, -1, 6, 0, 2, 0, 2, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 4, 1, 0, -1, 0, 0, 0, -1, -2, -2, 2, 1, 0, -2, -1, -1, 0, -1, -1, 1, -1, 2, 1, 4, 1, 1, -1, 0, 0, -1, -1, 0, 1, 2, -1, 0, -1, 0, 0, -1, -2, 0, 0, 0, 0, 1, 4, 0, -2, 1, -1, 1, -1, -1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 2, -1, 2, -1, 1, 0, 4, 0, 0, 1, 1, 1, 0, -1, -2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, -2, 0, 4, 0, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 4, -1, 0, 1, -1, -1, -1, 0, 1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 2, -1, 0, 2, 1, 1, 1, -2, 0, -1, 0, -1, 2, -1, 2, 1, 0, 0, 1, -1, 4, -2, 1, -1, 1, -1, 0, -2, -1, 1, -1, -1, 1, 2, -2, -1, -1, -2, -1, -1, -1, 2, -2, 4, 1, 0, -1, 2, 1, 1, 2, -1, 1, 0, 0, -2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 4, -2, 1, 2, 0, -1, 0, -1, 0, 0, 1, -1, 1, -1, 1, 0, 0, -1, 1, -1, -1, 0, -2, 4, -2, -1, 1, 1, 0, 1, 1, 1, -1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, -1, 1, -2, 4, 1, -1, -1, -1, 0, -2, 0, 0, 0, 0, -1, -1, -2, -2, 0, -1, 2, -1, 2, 2, -1, 1, 4, 1, 1, 1, -1, 0, 0, 0, -1, 1, -1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, -1, 1, 4, 2, 0, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, -1, 0, 1, -2, 1, -1, 1, -1, 1, 2, 4, 1, -1, 1, 1, -1, 0, 0, -1, 2, 2, 1, 1, 0, 1, -1, 2, 0, 0, -1, 1, 0, 1, 4, -1, 0, 0, 0, -1, 0, -1, 2, 2, 0, 0, 0, -2, 1, -1, -1, 1, 0, -1, 0, -1, -1, 4, 1, 1, -1, 1, -1, 1, -1, -1, -1, 0, -1, 0, -1, 1, 0, 1, -2, 0, 0, 1, 0, 1, 4, 1, -1, 0, 0, 1, 1, 1, 2, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 4, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, -1, 0, 4, 0, -1, -1, 0, 0, 0, -2, 1, -1, 2, -2, -1, 0, 0, -1, 0, 0, -1, 1, 0, -1, 0, 4, -2, 0, -1, -1, 0, 0, 0, 2, -2, 1, 1, 0, 0, 1, -1, 0, 0, -1, 0, 0, -1, -2, 4, 1, 0, 1, 0, 1, 1, -1, -1, 0, -1, 2, -1, -1, -1, -1, -1, 1, 1, 0, -1, 0, 1, 4, -1, 0, 1, 1, 1, 2, -1, 2, 1, 0, -1, 2, 2, 2, 2, -1, 1, 0, 0, -1, 0, -1, 4, 2, 1, 0, 1, 1, -2, 2, 0, 1, -2, 1, 1, 2, 2, -1, 1, 0, 0, -1, 1, 0, 2, 4, 1, 0, 1, 0, -1, 1, 0, 1, -2, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 1, 1, 1, 4, 1, 1, 0, -1, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, 1, -2, 0, 1, 1, 0, 0, 1, 4, -1, 1, -1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, 0, -1, -1, 1, -1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 4, -1, 0, -1, 0, -1, -1, 0, -2, 2, 0, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 4, -1, 0, 1, 0, -1, -1, 0, 0, 2, 1, -2, 0, 1, -1, -1, -1, 0, 1, 0, -1, 0, -1, 4, -1, -2, 0, -1, -1, 2, 0, -1, -2, 1, 1, 1, 0, -1, -1, -2, -1, 0, 1, -1, 0, -1, 4, 0, 2, 2, 0, 0, -1, 0, 2, -2, 0, -2, -1, 2, 2, 2, -1, 1, 1, 0, 1, -2, 0, 4, -1, -1, -1, -1, 0, 0, 2, -1, 1, -1, -1, 1, -1, 0, 0, 1, 1, -1, 0, 0, 2, -1, 4, 2, 0, 0, -1, 1, 2, -2, 1, 0, -1, 1, 0, 2, 0, 1, 0, -1, -1, -1, 2, -1, 2, 4, 1, 0, -1, 0, 1, -1, 0, -2, 0, 2, 2, 1, 0, 0, -1, 0, -1, -1, 0, -1, 0, 1, 4, -1, -1, 1, 0, 0, -1, 0, 1, 0, 2, 1, 0, -1, -1, -2, 0, 2, 0, -1, 0, 0, -1, 4, -1, -1, 0, 0, 1, -1, 0, 0, 1, -1, -1, -1, 1, 2, 0, 0, -1, 0, -1, -1, -1, -1, 4, -1, 0, 0, -1, 0, 1, -1, 0, 1, 0, 1, -1, 0, 2, -1, 0, 0, 1, 0, 1, -1, -1, 4, 0, -2, 0, 2, 0, 0, -1, 1, 2, -1, 2, -1, 1, -2, 2, 2, 2, 1, 0, 0, 0, 0, 6, -2, 1, -1, -1, 1, 2, 3, 0, 2, 0, 1, -2, 1, -2, -1, -2, -1, 0, 0, 0, -2, -2, 6, 0, 2, 0, -1, -1, -1, 0, -1, 1, -1, 0, 1, 0, 1, 1, 0, -1, 1, -1, 0, 1, 0, 4, 0, -1, 0, -1, 0, -1, 1, 0, 1, 1, 1, -2, -1, 0, -2, 0, -1, 0, 2, -1, 2, 0, 6, 1, -2, -3, 0, 2, 0, 1, 1, -1, 0, -1, -1, -1, 0, 1, 0, 1, 0, -1, 0, -1, 1, 4, -1, 1, 0, 1, 0, 0, -1, -1, -1, 2, 1, 1, 2, 0, 0, -1, 0, 1, -1, 0, -2, -1, 4, 1, 1, 0, 0, 0, -1, -1, -1, 2, -1, 0, 2, 2, 1, 0, -1, 2, -1, -1, -3, 1, 1, 6, 1, -1, 0, 2, 1, 0, -2, 2, 0, 2, 1, 1, -1, 1, 1, 3, -1, 0, 0, 0, 1, 1, 6, 1, 1, 0, 1, 1, -1, -1, 0, 0, 0, 0, -1, 0, 2, 0, 0, -1, 2, 1, 0, -1, 1, 4, -1, 2, 1, 0, 0, 1, 1, 1, 0, -1, -1, 1, -1, 2, -1, 1, 0, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 0, 0, -1, 1, -1, 0, 1, -2, -1, 2, 2, -1, 2, 1, 2, -2, 1, 4, -2, 1, 2, 0, 0, 0, -1, -1, -2, -1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, -1, -2, 4, 1, -1, -1, 0, 0, 1, 1, 0, 0, -2, 1, -1, -2, -1, 1, -1, -2, -1, 1, -1, 1, 1, 6, -2, 1, -1, 2, -2, -1, -2, 0, 1, 1, -2, 2, 0, -1, -1, 1, -1, 2, 2, 2, -1, -2, 6, -1, 2, -1, 1, -1, 0, 1, 1, 0, -1, 2, 2, 1, 0, 1, 0, -2, 1, 0, -1, 1, -1, 4, -1, 2, -2, -1, -1, 1, 0, -2, 0, 1, 0, -2, 0, 0, 2, -1, 0, 0, 0, -1, 2, -1, 4, -2, 2, 1, 0, 1, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 2, -1, 2, -2, 4, -1, -2, 0, 1, 0, 0, 0, 2, 0, -2, -1, 0, 0, 0, -1, -1, 1, -2, 1, -2, 2, -1, 4, 0, 1, 1, -1, 1, 1, -2, 0, 1, -1, -1, -1, 0, 1, -1, 1, -1, -1, -1, 1, -2, 0, 4, 0, -1, 0, -1, 0, -2, 0, 1, 1, 0, 1, 0, -1, -2, 0, -2, 0, -1, 0, 0, 1, 0, 4, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 1, -1, 1, 4, -1, 0, -1, 1, 0, 0, 0, -1, 0, -1, 1, 2, -2, 1, 1, 0, 0, 0, -1, 0, -1, -1, 4, -1, 0, 2, 1, 0, 0, 2, 0, 0, -2, 0, 1, 1, 0, -2, 0, 0, 1, -1, 0, 0, -1, 4, 0, 0, -1, 1, -1, 0, -2, 2, -1, 0, -1, -2, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4, -1, 0, 0, -1, 0, 0, 1, 2, 2, -2, 2, 2, 1, -1, 2, -2, -2, -1, 1, 2, 0, -1, 6, 2, -1, 1, 2, 0, 0, 2, 2, -1, 0, 2, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 2, 4, -1, 1, 1, 1, -1, -1, 0, 1, -1, 1, -2, 1, -2, 1, 1, 0, 0, 0, 1, 0, -1, -1, 4, 0, 0, -1, 1, 2, 0, -1, -1, 0, 0, -1, -1, -1, 1, 0, 0, 0, -1, -1, 1, 1, 0, 4, 0, 1, -1, 1, 2, -2, 1, 1, 0, 0, 0, -1, 0, -1, -1, 2, 0, 0, 2, 1, 0, 0, 4, 1, 0, 2, 0, -1, -1, 0, 2, 0, 0, -1, 1, 0, 0, 0, -2, 0, 0, 1, -1, 1, 1, 4, -2, -2, 0, 1, 2, -2, -1, 0, 0, 0, 0, -1, -1, 0, 2, 1, 0, -1, 1, -1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, -2, 1, -2, -1, 2, 1, 1, -2, 1, 1, 1, 1, 0, 1, -1, 2, -1, -2, 4, 0, 1, -1, 2, -2, 2, -1, -1, 1, -2, 2, -1, 0, -1, 0, 0, -1, 0, -1, 0, -2, 0, 4, 1, -1, 0, 1, 0, 1, 0, -2, 1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, 1, 4, 1, 1, -1, 1, -2, -1, 0, -1, -1, 0, 1, 1, -1, -1, 0, -1, -1, 1, 1, -1, -1, 1, 4, -1, 0, -1, -1, -1, 1, 0, -1, 0, 1, 1, -2, 1, -1, -1, -1, 1, -2, 2, 0, 1, -1, 4, -1, 2, 0, -2, 0, -2, 0, 0, -1, -1, -1, 0, 0, 0, -2, 0, 1, -2, 1, -1, 0, -1, 4, -2, 2, 2, -1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, -1, -2, 2, 0, 1, -1, 2, -2, 4, 0, -2, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, -2, 0, -1, -1, 1, -2, -1, 0, 2, 0, 6, 2, -1, 2, -1, -1, 0, -1, -1, -1, 1, 3, 2, 0, 2, -1, 0, -1, -1, -2, 2, -2, 2, 6, -1, 2, -1, -1, 1, -1, 2, -2, 0, 2, 3, -1, 1, 1, -2, 0, 1, 0, -1, 0, -1, -1, 4, -1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, -2, 1, -1, 0, -2, 2, -1, 2, 2, -1, 4, 0, 1, 1, 0, 0, 0, 1, 1, 2, -1, -2, 2, 1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 6, -1, 1, -1, 0, 2, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, -1, -1, 0, 1, -1, 4, -1, 2, 0, 0, 0, -1, 0, -2, 1, 0, 0, 1, 1, -1, 1, -1, 0, 1, 1, 1, 1, -1, 4, 0, 0, 0, 1, 0, 2, 1, 1, -1, 0, 1, 1, -1, 1, 0, -1, -1, 0, 0, -1, 2, 0, 4, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, -2, -1, 0, -1, -1, 2, 0, 0, 0, 0, 0, 0, 4, -1, 0, 0, 2, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, -2, 0, 0, 2, 0, 0, 0, -1, 4, 1, -1, -1, 0, 1, -1, 0, 0, -1, 0, 1, 0, 1, 0, -1, 1, 0, 0, 1, 0, 0, 1, 4, -1, 1, 0, -1, 0, 1, -1, -1, 0, 1, 0, 3, 2, 0, 1, 0, -1, 0, -1, 0, -1, -1, 4, 2, 0, 2, -1, 0, -1, -1, -2, 2, -2, 2, 3, 1, 2, -1, 0, 2, 0, 2, -1, 1, 2, 6, -1, -1, 0, 1, 1, 1, 0, -1, 0, 0, -1, 0, -1, 0, -2, 1, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, -2, -1, -2, 1, 0, -1, 0, -1, 1, -2, 1, 2, -2, 1, -2, -2, 0, 0, 4, -1, 1, 2, 1, 2, 1, 2, 1, -2, -1, -1, -1, 0, -2, 0, 1, -1, -1, 0, -2, 0, -1, 4, -2, -1, 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 1, -1, 2, 1, -1, -1, 0, 1, -2, 4, 2, 0, 0, 1, 1, -1, -1, 0, -1, -1, -1, 0, -1, 2, -1, -2, 0, 1, 1, 2, -1, 2, 4, -1, 1, 0, 2, 1, -1, -1, -2, 0, -2, 0, 1, 1, -1, -2, 0, -1, -2, 1, 0, 0, -1, 4, 2, 2, 0, 0, -1, -1, 1, 0, 2, -1, -2, 2, 0, 0, 0, -1, -1, 2, 0, 0, 1, 2, 4, 1, 0, 0, -2, -2, -1, 0, 1, -2, -1, 1, 0, 0, 0, -2, -2, 1, -1, 1, 0, 2, 1, 4, 1, 0, 1, -1, 1, 0, 1, 0, -2, 3, -1, -1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 4, 1, -1, -1, -1, 0, -1, 0, 1, 1, 0, -2, -1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 4, 1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, -1, -1, -2, -1, -1, -1, -1, -2, 1, -1, 1, 6, 2, 1, 0, 0, 1, 0, -1, -2, 2, 1, 1, 0, -1, -1, 0, -1, -1, -2, -1, -1, -1, 2, 4, 0, -1, 0, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, -1, -2, 1, -1, 1, -1, -1, 1, 0, 4, 1, 1, 1, -1, 1, 0, 0, 1, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, -1, 2, 1, -1, 0, 0, -1, 0, -2, 0, 0, -1, -2, 2, 1, 1, -1, 0, 0, 0, 1, -1, 4, -1, -2, 0, 0, 1, 1, 0, 1, -2, 0, 0, 0, -1, -2, 0, 0, 0, 1, 0, 1, 2, -1, 4, 1, 0, 0, -1, 0, 2, 2, 0, 1, -1, 1, -2, -1, -2, 1, 0, 0, 1, -1, 1, -2, 1, 4, -2, 0, 0, -1, 0, -2, 1, -1, 2, 1, 2, 1, 3, 1, -1, -1, -1, 1, -1, 0, 0, -2, 6, 0, -2, 2, 0, 1, -1, 2, -1, -1, 0, 0, -1, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 4, -1, -1, 0, -2, -1, 1, -2, -2, 0, 0, -1, -2, 1, 2, 1, 0, 0, 1, -1, 0, -2, -1, 6, 1, 0, -2, 0, -1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 1, -1, 1, 0, -1, 2, -1, 1, 4, 0, 0, -2, -1, 1, -1, -1, -2, 0, -1, -1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 1, 1, 1, 0, 2, -2, 1, 0, 1, 0, -1, -2, 1, -1, -1, 1, -1, 1, 1, 4, -2, 0, 1, 2, 0, -1, 1, -2, 1, -1, -1, -1, 1, -1, 1, 0, 1, 0, -2, -1, -2, -2, 4, 0, -1, 0, -1, 1, -1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 4, -2, 0, -1, -1, -1, 0, -2, 1, -2, -1, 0, 0, 0, 2, 0, -2, 1, -1, 1, 1, -1, -2, 4, 0, 0, 1, 0, 0, 2, -2, 0, 1, 1, -1, 1, -2, -1, 2, -1, 1, 1, 2, 0, 0, 0, 4, -1, -1, 1, -2, 1, 1, -1, 0, 1, 0, 2, 0, 1, 0, -1, 0, 1, 0, -1, -1, 0, -1, 4, -1, 0, 0, 1, 0, 2, 0, 0, 0, -1, -1, 0, 1, -1, 1, 0, -1, 1, -1, 1, -1, -1, 4, 1, 1, 1, -1, 1, 0, 0, -1, -1, -1, 0, 1, 1, 1, 2, 1, -1, -1, 0, 1, 0, 1, 4, -1, 0, -1, 0, -1, 0, -2, 1, 0, 0, 0, 0, 1, -2, -2, 2, 0, 0, -2, 0, 1, -1, 4, -1, 0, 0, 0, 0, 1, -1, 0, -1, 0, 1, 0, 1, 1, 0, -2, 2, 1, 1, 1, 0, -1, 4, 0, 2, 1, 1, -1, 0, -2, 1, 2, -1, 1, 0, -1, 1, 1, -2, 1, 0, -1, -1, 0, 0, 4, 0, 1, 0, 1, -1, 0, 1, 0, 1, -1, 1, -1, 1, -2, 0, -1, 2, 1, 0, 0, 2, 0, 6, -1, -2, 0, -1, -2, -1, 2, 0, 2, 0, -1, 0, -1, 1, 0, 0, 0, -1, 0, 1, 1, -1, 4, 1, 0, -1, 0, 1, 0, 1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, -2, 1, 4, 0, 0, -1, 1, 0, 0, 0, -2, -1, 1, 0, -1, 0, 0, -1, -2, 1, -1, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, -1, -1, 1, -1, 0, -1, -1, -1, 0, 0, 4, 0, -1, 0, -1, 1, -1, 0, 0, 2, -2, 0, -1, -1, 0, 0, -2, 0, -2, 0, -1, 0, 0, 4, 1, -2, 1, -1, -1, 1, 0, 0, -1, 1, 0, 0, 0, -1, 1, 1, -1, 1, 1, 0, -1, 1, 4, -1, 0, -1, 1, 0, 0, -2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, -2, -1, 4, 0, 1, -1, -2, 1, 1, -1, -1, -1, 1, 0, 1, -1, 1, 0, 1, 0, 0, -1, 1, 0, 0, 4, 0, 1, -1, 0, -1, 1, 0, 1, 1, 1, 0, 1, -1, 2, 0, 0, 0, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 0, 1, 2, -2, 1, 1, 1, -1, 1, -2, 1, 0, -1, 2, 0, 1, 0, 1, 2, 4, 0, -2, 1, 1, 0, -1, 0, -1, 0, -1, 1, 0, 2, -1, -1, 2, 1, 0, -1, 0, 1, 0, 4, 1, -1, 1, 0, -2, 2, 1, 0, 1, 1, 0, 1, 1, 1, -1, 1, 0, 0, 2, -1, -2, 1, 4, -1, -1, 0, 0, 0, 0, 0, 1, 0, -1, -2, 0, 0, -2, -1, 0, 0, 1, 0, 1, -1, -1, 4, 0, 0, 1, -1, -2, 0, -1, 1, -1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 4, -1, 0, 0, -1, -1, 0, 1, 0, 1, 0, 1, 1, 0, -1, 0, 1, 2, 0, 0, 0, 0, -1, 4, 0, 1, 1, 2, 0, -1, -2, -1, 1, -1, 0, -1, 2, 1, 1, -2, -1, -2, 0, 1, 0, 0, 4, -2, -1, 0, 1, -1, 0, -1, 1, 1, -1, -1, 0, 0, 0, 1, 0, 2, 0, -1, 0, 1, -2, 4, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, -2, -1, 1, -1, 0, 6, 2, 2, -1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, -1, 2, 0, 1, 2, 4, 0, 0, -1, 1, 1, 0, 0, 0, 2, 1, 1, -1, -1, 1, 1, -1, 0, 0, 1, 0, 2, 0, 4, 0, 1, -1, 0, 2, -1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, -1, -1, 1, -1, 0, 0, 4, -1, 2, 0, 1, 0, 1, 0, -1, 1, -2, 0, 0, -1, -1, 0, -2, 0, 1, 1, -1, 1, -1, 6, 0, 0, 1, 0, 1, 0, 1, -1, 1, 2, 1, -2, 2, 1, -1, -1, 0, 1, 1, -1, 2, 0, 6, 0, 1, 0, 3, 1, 0, 1, 0, -1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 4, 2, -1, -1, 1, 1, 2, -1, -1, 1, 0, 1, 1, -1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 4, -1, 1, 0, 1, 1, 2, 2, -1, -2, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 4, 0, 0, 0, -1, 0, 1, 1, -1, 0, 0, -1, -1, 0, 2, 0, 1, 1, 1, 3, -1, 1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, -1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 4, 2, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, -1, 1, 0, 1, 1, 0, 0, 2, 4, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, 2, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 2, 1, 1, 2, 2, -1, 1, -1, 0, 1, 0, 1, -1, 0, -1, 1, 0, 2, 2, 4, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 1, -1, 2, 0, 1, 2, 2, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, -1, 2, 2, 2, 0, 4, 2, 2, -1, 0, 1, 0, 0, 0, -1, -1, -1, 1, -1, 0, -1, 2, 0, 0, 2, 2, 0, 2, 4, 1, -1, 0, 1, 0, 0, 0, -1, -1, 0, 1, -2, 0, -1, 2, 0, 0, 1, 1, 0, 2, 1, 4, -2, 0, 2, 0, 0, 0, 1, 1, 1, -1, 1, 0, -2, 1, 0, 0, 1, 0, 1, -1, -1, -2, 4, 2, 0, -1, 1, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 4, 2, 0, 1, -1, 1, 2, 0, 1, 0, 1, -1, 0, -1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 6, -1, 1, -1, 2, 3, 0, -1, 1, 1, -2, 1, -1, 2, -1, 0, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, -1, -1, -1, -1, 0, -1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 4, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, 4, 1, 0, 1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 1, -1, -1, 1, 0, 1, 2, -1, 0, 1, 4, 2, 1, -1, 2, 0, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 0, 2, 3, -1, 1, 0, 2, 6, 2, -1, 2, 1, 0, -1, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 1, 2, 4, 0, 0, 0, 1, 0, 1, 1, 1, 0, -1, 1, 1, -1, 1, 1, -1, -1, 0, -1, -1, -1, 0, 4, -2, 0, 1, 1, 1, 1, -1, -1, 0, -1, -2, 1, -1, 0, 1, 0, 0, 0, 2, 2, 0, -2, 4, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, -1, 1, 0, 0, 1, 0, 0, 0, 4, 0, 1, 0, 1, -1, -1, -1, -1, -1, -2, 1, -1, -2, -1, 0, 1, -1, 0, 1, 1, -1, 0, 4, -1, 1, 0, 1, 2, 0, 2, 2, 1, -1, 0, 1, 0, 0, 0, -1, -1, 0, 1, -1, 1, -1, 4, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, 1, 1, 0, 0, 1, 1, 4, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, -1, 1, -1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, -2, -1, -2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 4, -1, 1, 0, -2, -2, 1, 2, -1, -1, 0, 1, 0, 0, -1, -1, 0, -1, 1, 0, 1, 0, -1, 4, -2, 0, 1, 1, -2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, -1, -2, -1, 1, -2, 1, -2, 6, 1, 1, 0, 0, 0, -1, -3, 0, 0, -1, -1, -3, -1, -2, -1, 0, 0, 1, -2, 0, 0, 1, 4, -1, 1, 0, 0, 1, 0, -2, 0, 0, -2, 0, -2, -1, 0, 0, 0, 0, -1, -2, 1, 1, -1, 4, 2, -2, -1, -1, -1, 0, -1, 0, 0, -1, 1, -1, -1, -1, -1, 0, -2, -2, 1, 0, 1, 2, 4, -2, -1, 1, -1, -1, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0, 1, -2, 0, 0, -2, -2, 4, -1, 0, 0, 1, 0, -1, -1, 0, -1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, -1, -1, -1, 4, 0, 1, -1, 1, 1, 1, 1, 0, 1, -1, 0, 1, 1, 0, -1, 0, -1, 1, -1, 1, 0, 0, 4, 2, -1, -1, 1, -1, 1, 0, 1, 1, -1, 1, -1, 2, -1, 1, -3, 0, -1, -1, 0, 1, 2, 6, 0, 1, 0, 1, 2, 2, 2, 2, -1, 0, 0, 1, 0, 0, 0, -2, 0, -1, 1, -1, -1, 0, 4, 0, -1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, 1, -1, 1, 0, 4, -2, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, 1, 0, -1, -2, 4, 0, 1, -1, 0, -1, 0, 1, 0, 2, 0, 1, -1, -2, 0, -1, -1, 1, -1, 1, 1, 0, 0, 4, 0, 1, 0, 1, 0, -1, 1, 2, -1, 2, -3, 0, -1, -1, 0, 1, 1, 2, 0, 1, 1, 0, 6, 1, 1, 0, -1, 2, 0, 2, -1, 0, -1, -2, 1, 0, -1, 0, 0, 2, 1, 1, -1, 1, 1, 4, 1, 1, -1, 0, 0, 1, 0, 0, -2, -1, -1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 4, 0, 0, 1, 0, 1, -1, -1, -1, 0, -1, -1, 1, -1, 1, 2, 0, 0, -1, 1, 0, 1, 0, 4, 0, 0, -1, 0, 1, -2, 0, 0, -1, -1, 2, 0, -1, -1, 0, -1, 0, 0, -1, -1, 0, 0, 4, 1, 0, 1, 0, -1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 1, -1, 2, 0, 1, 0, 1, 4, -1, 0, 1, 1, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, -1, -1, 0, 1, -1, 1, -1, 0, 1, 1, 2, 0, 2, 1, 0, -1, 0, 2, 2, 4, 0, 2, -1, -1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 4, -1, -1, 0, -1, 1, 0, 1, 0, -1, 1, 1, 0, -1, 1, -1, -1, 0, 0, 0, 1, 2, -1, 4, 1, -1, 1, -1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 1, -1, -1, -1, 1, 4, -1, 0, -2, 0, -1, -1, 0, 0, 1, -1, 1, -1, 0, -1, -1, -1, -1, -1, -1, 0, -1, -1, 4, 1, 0, 0, -1, 0, 0, -2, -1, 1, -2, 1, -1, -1, 0, -1, -1, 0, 0, -1, 1, 0, 1, 4, 0, 1, -1, -1, -1, -1, -1, 2, -1, 0, -1, -1, -1, -1, 0, 1, 1, 1, -1, -2, 0, 0, 4, 1, 0, -1, -1, 1, -1, 2, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 4, 0, 0, -2, 1, 0, -1, 0, -2, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, -1, -1, 0, 0, 4, 0, -1, 1, 1, -1, 0, 1, 1, 1, 0, 1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 4, 0, 0, -1, -1, 0, -1, 0, 0, 2, 1, 0, 0, 1, -1, 0, 0, 0, -1, -1, -2, -1, 0, 4, 0, 0, -1, 0, 1, 1, 1, 0, 0, -1, 1, 1, 1, 0, 0, -2, -1, 1, 1, 1, 0, 0, 4, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, 0, 1, -1, 0, 0, 4, -2, 1, 0, 1, -1, 0, 1, 0, 2, 1, 0, 0, -1, 1, 2, 2, -1, -1, -1, -1, 0, -2, 6, -1, 1, -1, 1, -1, -1, 2, 0, 1, -1, 0, 1, -2, -1, 0, 0, 0, 0, 0, 1, 1, -1, 4, 0, 1, 0, 0, 1, 1, 2, 0, 1, -1, -1, 1, 0, 0, -2, 1, -1, 1, 0, 0, 1, 0, 4, 0, 0, -1, 0, 1, 1, 2, -1, 2, 0, -1, -1, 0, 0, 1, 0, 1, 0, 1, -1, 1, 0, 4, 1, 0, 1, 1, 0, 1, -1, 0, -1, -1, -1, 1, -1, 1, 0, 1, 1, -1, 1, 0, 0, 1, 4, 0, 1, 1, -1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0, 0, 4, 2, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 1, 1, 0, 0, 1, -1, 1, 0, 1, 1, 2, 4, 0, 2, 1, 0, 1, -1, -1, 0, 1, 0, 1, 0, -1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, 0, -1, 0, 1, 0, 2, 0, 0, 1, -1, 1, 1, 2, 1, 0, -2, 1, -2, 4, -2, 2, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -2, -1, -2, -1, -1, 1, 1, 2, -2, 4, -2, -1, 1, 0, 0, -1, 1, 1, 0, -1, 1, 1, 1, 1, 2, 0, -1, -1, 0, -2, 2, -2, 4, 2, -1, -1, -1, 0, -1, -2, 0, 0, -1, -1, -2, -1, -2, -1, 1, 2, 0, -1, 1, -1, 2, 4, -2, -2, -2, 0, -2, -1, 0, 0, 1, 1, -1, 1, -1, -2, 2, 1, 0, 0, 0, 1, -1, -2, 4, 1, 2, 1, 1, 0, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 1, -1, 0, 0, -1, -2, 1, 4, 2, 0, 2, 1, -1, 1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0, 0, -1, -2, 2, 2, 4, 0, 2, 0, 0, 0, 0, -1, -1, 0, -1, 0, -2, -2, 0, 1, 1, -1, 0, 0, 1, 0, 0, 4, -1, 1, -1, 1, 0, -2, -1, -1, 0, 0, 1, -1, 2, 0, 0, 1, -1, -2, 1, 2, 2, -1, 4, 1, 1, 0, 0, 1, 0, 0, 0, 1, -2, 0, 0, 2, -1, 1, -2, -1, 0, 1, 0, 1, 1, 4, 0, 0, 1, 1, 1, 1, 2, 1, -1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, -1, 1, 0, 4, -1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 4, -1, -2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 0, 0, 0, 0, 1, 1, -1, 4, 2, 0, 2, 1, -1, -1, -2, 0, -1, 0, 1, -1, 1, -1, 0, -1, -2, 1, 1, 2, -2, 2, 6, 2, 1, 0, 0, 0, 1, 0, 1, -2, 1, -2, -1, -1, 0, -1, -1, 0, 1, 1, 0, 0, 2, 4, 0, 1, 2, 1, 1, 0, 1, -1, 1, -1, 1, -1, 0, 0, -1, 0, 1, 1, 0, 2, 1, 0, 4, 1, -1, 0, -1, 0, 2, -2, 2, -2, -1, 0, 0, -1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 4, 1, 0, -1, 0, 1, -1, 0, -1, -2, 0, 0, 0, 0, 1, 1, 1, 1, -1, 0, 2, -1, 1, 4, 0, 1, 1, 0, -1, -1, 1, 2, -1, -2, -2, 1, -2, -1, 1, 1, -1, 0, 1, 0, 0, 0, 6, 3, 1, -2, 1, -1, 2, 1, -1, -1, -2, -1, 0, -2, 1, 1, -2, 1, 1, -1, -1, 1, 3, 6, 0, 1, 1, 0, 0, 0, 1, -1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, -1, 0, 1, 0, -1, 0, -2, -1, -2, -1, 1, -1, 2, 2, 1, -2, -2, 0, 0, 4, 0, 0, 0, 2, -1, -1, -1, 0, 1, -1, 1, 2, 0, -1, 0, -1, -1, 1, -1, 2, 0, 0, 4, 2, 2, 1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 2, 1, 0, 0, 2, 4, 2, 0, -1, 1, 0, -1, 0, 1, 0, 0, 1, 1, -1, 0, -1, 0, 1, 1, -1, 0, 2, 2, 4, 1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 2, -1, -1, -1, 1, 2, 1, 0, 2, 1, 0, 1, 4, 1, -1, 0, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 0, 1, 4, 0, 0, -1, -2, -1, -1, -1, 0, 1, 2, 1, 1, -1, 0, 0, 0, -1, 0, 1, 1, -1, 0, 4, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 1, 0, 1, -1, -1, -1, 0, -1, 0, 0, -1, 4, -1, 0, 2, 0, 0, 0, 0, 1, 1, 1, -1, -1, -1, 0, 0, 0, -1, -1, -1, -1, 0, -1, 4, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 2, 2, -2, 0, -2, -2, -2, 2, 0, 1, -1, -1, 0, 1, 0, 0, -1, -1, 2, -1, 0, 4, -1, 0, 0, 1, -1, 0, 1, 0, 0, -1, -2, 1, 0, 0, 0, 0, -1, 0, 0, 1, 2, -1, 4, 1, -1, 0, -1, -2, -2, 1, 1, 1, -1, 2, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 1, 4, -1, 0, -1, -1, -1, 1, 0, 2, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, -2, 0, -1, -1, 4, -1, 0, 1, 2, -1, -1, 0, -1, -1, 1, 1, 2, 1, 1, 1, 0, -1, 0, 1, 0, 0, -1, 4, 0, -1, -1, 1, 1, 1, 2, 0, 0, -1, -1, 1, 2, -1, 1, 0, -2, -1, -1, -1, 0, 0, 4, 2, 1, -2, -1, 0, 2, -1, 0, 0, -1, -1, 1, -1, 1, 0, -2, 0, -2, -1, 1, -1, 2, 4, 2, -2, 0, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 0, -2, 1, -2, -1, 2, -1, 1, 2, 4, -2, -1, -1, -2, 1, 0, 0, 1, 1, -1, 1, -1, 0, 2, 0, 1, 1, -1, 1, -2, -2, -2, 4, 1, 1, -2, -1, 2, 1, 2, -1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, 1, 6, -1, 0, 2, 1, 1, 1, 1, 0, 1, -1, 0, 1, -1, 1, 2, 0, 1, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -2, 1, 0, -1, 2, 1, -1, 1, 0, 0, -1, -1, -1, 2, -1, -2, -1, -1, 1, 4, 1, 0, 1, 2, -1, 1, 0, -1, -2, 0, -1, 0, -1, 0, -2, 2, 1, -2, 1, 1, 2, 1, 4, -1, -2, 1, 0, -1, 1, 1, -2, 1, -1, 0, 0, -1, -2, 2, -1, -2, -1, -1, 1, 0, -1, 4, -1, 0, 0, 1, 0, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, -1, -2, 1, -2, -1, 6, 0, -2, 1, 0, -3, -1, 0, 1, -1, -2, 0, 1, -2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 4, 1, -1, 1, 0, -2, 1, 0, 0, 0, 1, -2, 2, 0, -2, -1, -1, 0, -1, 0, 0, -2, 1, 4, -1, -1, 2, 0, -1, -1, 0, 2, 2, 0, 0, 1, 0, -1, -1, -1, 1, -1, 1, 1, -1, -1, 4, -2, 0, 0, -1, -1, 0, 0, 1, 0, -1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, -1, -2, 4, -1, -1, 1, 1, 0, -1, -1, 0, 1, -2, -1, -1, -1, 1, -1, 1, 1, -3, 0, 2, 0, -1, 4, 0, 0, 0, 0, 1, 1, -1, 1, 0, -1, -1, -1, -1, -2, -2, 1, -1, -2, 0, 0, -1, 0, 4, -1, 0, 0, 1, -1, 2, -2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, -1, -1, 1, 0, -1, 4, 2, -1, -1, -1, 0, 2, 0, -2, 0, -1, 0, -1, -1, 0, 1, 0, -1, -1, 1, 0, 0, 2, 4, -1, -1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 4, 1, 0, 0, 1, -1, -1, 0, 1, -1, -1, 0, 0, -2, 0, 2, 0, -1, 1, 1, -1, -1, 1, 4, 1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 2, 1, -1, 1, -1, -1, 0, 0, 1, 4, 0, 0, 1, 0, 0, 1, -1, -2, -2, 0, 1, -2, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 4, -2, 0, 2, 1, 1, 2, 2, 2, -1, -2, 2, 0, -1, 1, 1, -2, 2, 1, 1, -1, 0, -2, 6, 1, -4, 0, 0, -1, 1, -1, 0, 0, 0, 1, 1, -2, 0, 0, 0, 0, -1, 0, 1, 0, 1, 4, -1, 1, 1, -2, -2, -2, 1, 2, -2, 0, 1, -1, -1, 2, -2, -1, -1, 0, 0, 2, -4, -1, 6, 1, 0, -1, 1, -1, 0, 2, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 4, 1, -1, 1, -1, -1, 1, -1, -1, 2, -1, -1, 0, -1, -1, 1, 0, 1, 1, 0, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 0, 1, 2, 1, -1, 1, -2, 0, 2, 1, 1, -1, 1, -1, 1, 1, 4, -1, -2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, -1, 1, 0, 1, 1, 2, -1, 2, -1, -1, 4, 0, 1, 0, 0, 1, 1, 0, 0, -1, 1, 1, -1, 0, -2, -1, 0, 0, 1, 0, -1, -2, 0, 4, -1, -2, -1, -2, 0, -1, 0, 0, 0, 0, 2, 0, 1, -1, 1, -1, 1, -1, 1, 0, 1, -1, 4, 0, 0, 1, 2, 2, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1, 2, 0, -2, 0, 4, 2, 0, -1, 1, 0, 1, 1, 1, 0, 1, 0, 2, -1, 2, -2, 0, 2, 1, 0, -1, 0, 2, 4, 0, 1, 2, 0, -1, 2, -1, 0, 2, 0, 1, -2, 1, -1, 0, 0, 1, 1, -2, 1, 0, 0, 4, 0, 1, 0, -1, 1, -1, -2, 0, -1, -1, 0, 0, 1, 2, 1, 0, 1, 0, 2, -1, 1, 0, 4, 1, 0, -2, 1, 0, 0, 1, -1, -1, 0, 0, 1, 1, 2, 1, 0, -1, 2, 1, 2, 1, 1, 4, 0, -1, 2, -1, 0, 1, 1, 0, -1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, -1, 0, 1, 0, 0, 1, 1, 0, 1, -1, 0, -1, 0, -1, 1, -1, -1, -2, -1, -1, 4, -1, 1, 0, -1, 0, 0, 1, 1, 0, -1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, -1, 4, 0, 1, 2, 0, -1, -1, 0, 1, 0, -2, 0, 1, 0, 0, 1, -1, -1, 0, -1, -1, 1, 0, 4, 1, -1, -1, 0, 1, 0, 0, -1, 0, -1, -1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 4, 0, 1, 0, 0, -1, 0, -1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, -1, 2, -1, 0, 4, 0, 1, -1, 1, 0, 1, 1, 0, -2, 1, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, 1, 0, 4, 1, 0, -1, -1, -1, 1, 1, -1, -1, -1, 2, 1, -1, -1, 0, 0, 0, -1, 0, 0, 1, 1, 4, -1, 1, -2, 0, -1, 1, 0, 1, 0, -1, -2, 0, 0, -1, 1, 1, -1, 1, 0, -1, 0, -1, 4, 0, 1, 1, 1, 2, 0, -1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 1, 0, 4, 0, 1, -1, -1, 1, 1, 1, -2, -1, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1, -2, 1, 0, 4, 0, 1, 2, 0, -1, 1, 0, 0, 2, 1, 1, 1, -1, 0, -1, -1, 1, -1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, 1, -1, 1, 1, -1, -1, -1, 1, -2, 1, 1, -1, -1, 1, -2, -2, 1, 4, -2, 2, 1, 1, -1, -1, 0, 2, 0, -1, -1, 1, 1, 0, 2, 1, -2, 2, -2, 1, -1, -2, 4, -2, -1, 1, 0, 2, 0, -2, 0, 0, 0, 0, 0, -1, -1, 0, 1, -2, 0, 1, 1, 2, -2, 4, 2, -1, 0, 0, -1, 2, 1, 0, -1, 0, 1, 0, 2, 0, -2, 2, -2, 0, 2, 1, -1, 2, 4, -2, 0, 0, 1, 1, -1, 0, -2, 0, -1, 0, 1, 0, -1, 1, -1, 0, -1, 1, 1, -1, -2, 4, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 4, 0, 0, 1, -1, 1, 0, 1, -1, 1, -1, -1, -1, 1, 0, 0, -1, -1, 2, 0, 0, 0, 0, 4, -1, -1, 0, 0, 0, -1, 1, -2, -1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 1, -1, 0, -1, 4, 0, 0, 0, -1, 1, -1, 0, 1, 0, 1, 0, 1, 1, 1, 2, -2, 2, 1, 0, 1, -1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 1, -2, 2, -1, 1, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 4, 0, 1, -1, 1, -1, 1, 1, 1, 0, -1, 1, -1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 4, 0, -1, 1, 1, -1, -1, 0, -1, 0, 0, -1, -1, 0, -1, -2, 0, 0, 0, -1, 0, 1, 0, 4, -1, 0, -1, -2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 1, 0, -1, -1, -1, 4, -1, 1, 1, -1, -1, 1, 0, 1, -2, 1, 0, 1, -1, 1, -1, 1, -1, 0, 1, 1, 0, -1, 4, -1, 0, 0, 0, 0, -1, 1, 1, 0, -1, 0, 0, 0, 1, -2, 0, 0, -1, 1, -1, 1, -1, 4, 1, -2, -1, 0, 0, -1, 1, 2, -1, 2, 1, 0, -1, -1, 1, 1, 1, -1, -2, 1, 0, 1, 4, 0, -1, 1, -1, 1, -1, 1, 0, 0, 0, 1, -1, 1, 0, 1, 1, -1, 1, -1, 0, -2, 0, 4, 0, 1, 1, 2, -1, -2, 1, -2, -1, -1, -1, 0, 1, -2, 1, 0, 1, -1, 0, -1, -1, 0, 4, -2, 1, 0, 1, 2, -2, 2, 1, 0, 1, -1, 0, 2, 0, -1, 0, 1, 0, 0, 1, 1, -2, 4, 0, 1, -2, -2, 0, -2, -1, 0, 0, 0, 1, -1, -1, 0, 1, 0, -1, 0, -1, 1, 1, 0, 6, 0, -2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, -1, 1, 2, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, -1, 1, 1, 1, -2, 1, -1, 1, 1, -1, -1, -1, 2, 0, 1, 1, 4, -1, 0, -1, 2, 1, -2, 0, -1, 2, 0, 0, 0, -1, 0, 0, -2, -2, 1, 1, 0, -1, -1, 4, -1, 0, 0, 0, 0, 1, 0, 0, 1, -2, -1, 0, 1, -1, 0, 0, 0, 1, -2, -1, 0, -1, 4, -1, 0, 0, 1, -2, 0, 0, 0, 0, 2, -2, -1, 2, 1, 0, -1, -1, 1, 1, -1, 0, -1, 4, -1, 1, -1, 0, 2, -1, -1, -1, 0, 0, 1, 0, -1, 1, 0, -1, 0, 1, 2, 0, 0, -1, 4, 2, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 4, -1, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, -2, 0, 1, -1, -2, -1, 4, -1, 0, -1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, -2, 0, 0, 0, -1, 4, -1, 1, -1, 1, -1, 2, 1, -2, -1, -1, 1, 0, -1, 1, -1, 0, 0, 2, -1, 1, 0, -1, 4, 0, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, -1, 0, 0, -1, 1, 0, 4, 1, 0, -1, 0, 1, 0, -2, -1, 1, 1, -1, -2, 0, 1, 0, -1, -1, -2, 1, -1, 0, 1, 4, -1, 0, -1, 1, 1, 0, 1, -1, 1, -1, 1, 0, -2, 0, -1, 0, 0, 1, 1, 0, 0, -1, 4, 1, 1, 0, 0, 1, 0, 1, -1, 2, -1, 0, -1, 2, 0, 0, 0, 1, -1, 0, -1, 0, 1, 4, -2, -1, 1, 1, 1, 0, -2, 1, 1, -1, 0, -2, 0, 0, 0, 0, 2, -1, 0, -1, 1, -2, 4, 0, -2, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 1, 1, 1, 1, 0, -1, 0, 4, 0, -1, -1, 0, 0, 0, -1, 0, -1, 2, 0, 0, 0, 0, -2, 1, 0, 1, 0, 1, -2, 0, 4, 0, 1, -1, -1, 1, -1, -2, 0, 1, -1, 0, 0, 2, -1, 0, -2, 0, 1, 1, 0, -1, 0, 4, 1, 0, 0, 1, -1, -2, 0, 0, 1, -2, -1, 1, -1, 1, -1, 1, 0, 1, 0, -1, 1, 1, 4, -1, -1, 0, 2, 1, 0, -1, 0, 1, 2, 0, 1, 0, 1, -1, 1, 0, 1, 0, -1, 0, -1, 4, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1, -1, -2, 0, 0, -1, 0, -1, 1, 4, -1, 1, 0, -2, 1, 0, 0, 0, 1, -1, 1, -1, -1, 2, 1, -1, 0, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, 1, -1, -1, -2, -2, -2, -1, 1, -1, -2, 2, 1, -1, 1, -2, -1, 1, 0, 4, -1, -1, 1, -1, -1, 2, 1, 1, 2, 1, 1, 2, 2, 0, -2, 1, 1, 1, -2, 0, 1, -1, 4, 0, 0, 1, 0, 0, 0, -2, -1, 0, 1, 0, 0, 1, 0, -2, 0, 0, 1, 0, 2, -1, 0, 4, -2, 1, 0, -1, -2, -2, -1, -1, 0, -1, -3, 2, 0, -1, 1, -2, 1, 1, -2, 1, 0, -2, 4, 0, 1, 2, 2, 2, 2, 2, -1, 1, 2, -2, 0, 0, 0, 2, 0, 0, 1, -1, 1, 1, 0, 4, -1, 0, 0, -1, -1, 0, 1, 0, -2, 0, 1, -2, -1, -1, 1, 2, -1, -1, 0, 0, 1, -1, 4, -1, 1, 1, 1, 1, -1, -1, 0, 0, -1, 1, 1, 1, 2, 0, -1, 2, 0, -1, 2, 0, -1, 4, 1, 1, 1, 1, 1, 2, 1, -1, 0, 0, 0, 1, 0, 0, -2, 1, 0, -2, 2, 0, 1, 1, 4, 2, 2, 2, 0, 2, 2, -2, -2, 0, 0, 2, 0, 0, -2, 1, -2, -2, 2, -1, 1, 1, 2, 4, 2, 1, -1, 1, 1, -2, 0, 1, 0, 1, -1, -1, -2, 2, -1, -1, 2, -1, 1, 1, 2, 2, 4, 2, 0, 1, 2, -1, -2, 1, 0, 1, -1, -1, -1, 1, 0, -1, 2, 0, 1, 1, 2, 1, 2, 4, 0, 1, 1, -2, -2, 0, 1, 1, 1, 1, 1, 1, 1, 0, -1, 1, -1, 1, 0, -1, 0, 0, 4, 0, -1, 1, -1, -1, 0, 0, 0, 1, -1, 2, 0, -1, 1, 0, -1, 2, 2, 1, 1, 1, 0, 4, 1, -1, -1, 0, 0, 1, 0, 0, -2, 2, 0, -3, 2, -2, 0, 1, 2, 1, 2, 1, -1, 1, 6, -2, -2, 1, 0, 2, -2, -1, 2, 0, 1, 2, -2, 0, 0, -1, -2, -2, -1, -2, 1, -1, -2, 4, 0, 0, 0, -1, 0, 0, 1, -2, 0, 0, 0, 1, -1, 0, -2, 0, -2, -2, -1, -1, -2, 0, 6, 0, -1, -1, -1, -1, -1, 1, -2, -1, 0, -2, 1, 0, 0, 1, 1, 0, -1, 0, 1, 0, 0, 4, 0, 1, 0, -1, 1, 1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 4, 0, 0, 1, -2, 1, 0, -2, 2, -1, 1, 1, 2, 1, 1, 1, 0, 1, 2, -1, -1, 1, 0, 4, 1, 0, -1, -2, 1, 1, 0, 1, 2, 0, 0, -1, -1, 1, 0, 0, -2, 0, -1, 0, 0, 1, 6, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, -1, -1, 1, 1, 0, -1, 0, -1, -1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 1, 1, -1, -1, 1, 1, -1, 1, -2, -1, -1, 1, 1, -1, 1, 1, 1, 4, 0, 2, 1, 2, 1, 1, 0, -1, 2, 0, -1, 1, -1, -1, -1, 1, 0, -1, 0, -1, -1, 0, 4, 1, -2, -2, 1, 1, 0, 1, -1, 0, 0, 1, -1, 1, 2, -2, 1, 2, 0, 0, 1, 2, 1, 4, 1, 0, 0, 0, 0, -1, 2, 0, -1, 1, 0, -1, -1, 1, 1, -1, 1, 0, 1, 1, -2, 1, 4, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, -1, -2, 2, 0, -2, 0, -1, 2, 2, -2, 0, 2, 6, 2, 2, -1, 0, 3, 2, 1, 1, -2, -2, 0, 2, 1, -2, 0, 0, 1, 1, 1, 0, 0, 2, 4, 1, 0, 0, 0, 0, 1, 2, -1, -1, 1, 0, 2, 0, -1, 1, 1, 1, 1, 0, 0, 2, 1, 4, 0, 0, 0, 1, 1, 0, -3, -1, 1, 0, 1, 0, 1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 4, 0, -1, -2, 1, 0, 2, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 4, 1, 0, 1, 1, 1, 1, 2, -1, 0, 1, -1, 0, 1, 2, -1, 2, 2, 3, 0, 0, -1, 1, 6, 0, 0, 2, 1, -1, 0, 2, 1, -2, 1, -1, 1, 0, 0, 0, 0, 2, 0, 1, -2, 0, 0, 4, 0, -1, -3, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 1, 1, 1, 1, 1, 0, 0, 4, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, -1, 0, 4, 0, 0, 1, 0, 1, 0, 0, 1, -2, -1, -1, 0, 1, -2, -1, -3, 2, 1, 1, -3, 0, 0, 6, 0, -1, 0, 0, 0, -2, 0, -1, -1, 1, -1, -1, -2, -1, -1, 1, 1, -1, 0, 0, 0, 0, 4, 1, -2, -2, 2, 0, 0, -1, -1, 2, -1, -2, 0, 1, 1, -1, 2, 0, 0, 1, 1, -1, 1, 4, -1, 1, 1, 0, 1, 1, 1, -2, 1, 2, 2, 0, 0, -1, -1, 2, 0, -1, 0, 0, -2, -1, 4, 1, -2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, -1, 0, 1, 0, 0, 1, 0, -2, 1, 1, 4, -1, 0, 1, -1, -1, 2, -1, -2, -2, 0, 0, 1, 1, -2, 0, 0, 0, 0, 2, 1, -2, -1, 4, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, -1, -1, 1, 1, 0, 0, -2, 0, 0, 1, 0, 0, 4, -1, 1, -1, 0, 0, -1, 0, 1, -1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 1, 1, -1, 0, 1, 1, 1, -2, 0, -1, -1, -1, -1, 1, 1, -2, -1, 0, 2, 4, -2, -1, -1, 0, -1, -1, 1, 0, -1, -2, 0, -1, -1, 0, -1, 2, 1, -2, 1, 1, -2, -2, 4, 1, 1, -1, 2, -1, -2, 0, -1, 2, 1, 1, 2, 1, 0, 0, -1, 2, -1, 0, -2, -1, 1, 6, -3, -2, -1, -1, 0, -2, -3, 1, -1, -1, -2, -1, 1, -1, -2, 1, 2, 2, 1, -1, 1, -3, 6, 1, 2, 2, 0, 1, 3, 1, 2, 2, 1, 2, 1, -1, 1, 1, -1, -1, 1, 0, -1, -2, 1, 4, 1, 2, -1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, -1, -2, 0, -1, -1, 2, -1, 2, 1, 4, 1, -1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, -2, 0, 0, -1, -1, -1, 2, 2, 1, 4, 1, 0, 3, 1, 0, 2, 0, 1, 1, -2, 0, 0, 0, 0, 1, 1, -2, 0, 0, -1, -1, 1, 4, -1, 0, -1, 0, -1, -2, 0, 0, 0, 1, -1, 2, 0, 1, 0, 0, -2, 1, 1, 0, 0, -1, 4, 1, -1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 1, -1, -1, -3, 3, 2, 1, 3, 0, 1, 6, 1, 0, 2, 2, 0, 0, -2, 0, 0, -2, -2, -2, -2, 2, 1, 1, 0, 1, 1, -1, -1, 1, 4, 1, 1, 1, 0, 1, -1, -1, 1, -1, -1, 0, 0, 1, -1, 2, 0, 2, 0, 0, -1, 0, 1, 4, 0, 1, 1, 0, 0, 2, 1, -1, 0, -1, -1, 1, -1, 2, 1, 2, 2, -1, 0, 2, 1, 0, 4, 1, 2, 0, -1, -1, 1, 0, 0, -1, -1, 2, -2, 1, 0, 1, 0, -2, 0, 2, 1, 1, 1, 6, 0, -2, -1, 0, 2, -2, -1, -1, 0, 1, -1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 4, 1, 0, 0, 1, 1, 1, -1, -1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, -2, 1, 4, -1, 0, 0, 1, 1, 1, 2, 0, -1, -1, 0, 0, -2, 0, 0, -2, -1, 0, -1, -1, 0, -1, 4, 1, -1, 0, 0, 1, 1, -1, -2, 1, 1, 1, 0, 1, 0, 0, -1, 2, -1, 0, 0, 0, 1, 4, -1, -1, 0, -2, -2, 2, 1, 1, -1, 1, 0, -1, -1, 0, 1, 1, 1, 2, 1, 0, -1, -1, 4, 1, 0, -1, 1, -1, 2, -1, -2, -2, 0, 2, -1, -2, -1, -1, 0, -2, 1, 1, 0, -1, 1, 6, 1, 0, 1, 0, 2, -1, 0, 0, 0, 0, 0, -2, -1, 0, 0, -1, 1, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 0, -1, 2, 0, -1, 1, 0, -1, -1, 1, 0, -2, -1, -2, 0, 0, -2, 1, -1, 4, -2, 0, 1, 0, 0, 0, 2, 1, 1, 2, -1, -1, 1, 1, 0, 0, -1, 0, 0, -1, 1, -2, 4, -1, -1, 1, 0, -1, -2, -1, -1, -2, 0, 1, -1, -1, 1, -1, -1, 1, 1, 1, 2, 0, -1, 6, 0, -1, 1, 2, -1, 3, 2, -1, 0, 2, 2, -2, 0, 0, 0, 1, -1, 2, 0, 1, -1, 0, 4, 1, 0, -1, 1, -1, 2, 1, 1, -1, 1, 0, 0, 0, 1, -2, -1, -1, -1, 0, 1, -1, 1, 4, -1, -2, -1, -2, 0, -1, 2, 0, 1, 0, 2, 1, 0, -1, 2, 0, 2, 0, 0, 1, 0, -1, 4, -1, 1, 2, 0, -1, -2, 1, -1, 0, -1, -2, 0, 0, -2, 0, 0, 0, -1, 2, -1, -2, -1, 4, -1, 1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, -1, 0, -1, 2, -2, -1, 1, -1, 1, -1, 6, 2, 1, 1, 0, -3, -1, 2, -1, 1, -1, 0, 1, -1, 1, 1, -1, 3, -1, -2, 2, 1, 2, 6, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 2, 2, 0, 0, 0, 1, 0, 4, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, -1, 2, -2, -1, 1, -1, -1, 0, 1, 0, 1, 4, 0, -1, 0, 1, -1, 0, 1, -1, -1, -1, -1, -1, 0, 0, 1, 2, -2, -1, 0, -1, 0, 0, 4, -1, 1, 0, 1, 2, 1, -1, 2, 1, 1, -1, 1, 2, -1, 0, 1, 1, -3, 1, 0, -1, -1, 4, 1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 2, 1, 1, -1, 1, -1, 0, 1, 0, 1, 1, 4, 0, 0, 0, 1, 0, 1, 1, -2, 1, -1, -2, 0, 0, 0, 0, 2, 1, -1, 1, 0, -1, 0, 4, 0, 0, 1, 0, 1, -1, -1, 0, 1, 0, 0, 2, -1, 0, -1, 0, -1, -1, 1, 0, 0, 0, 4, 1, -1, 0, 1, 0, -2, 0, -1, 0, 0, 1, -2, 0, 1, 0, 0, 0, 2, -1, 0, 0, 1, 4, 0, 0, 2, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 1, 1, -1, 0, 4, -2, -1, 0, 0, 0, 1, 1, -2, -1, 0, 1, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, -2, 4, 2, 1, -2, 0, 1, -1, -1, 2, -2, -1, 1, -1, 0, -1, 2, -1, 1, 1, 1, 2, -1, 2, 6, 1, 1, -1, 1, 2, -1, 0, 0, 0, -1, 0, 0, -1, 1, 1, 1, -1, 0, 0, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, -2, 0, 2, 0, 2, 0, 1, -1, 1, -2, -1, -1, -1, -1, -2, 2, 1, 4, 0, -1, 2, 1, -1, 0, 0, 0, -1, 0, -1, 0, 2, -1, -2, -1, -1, 1, 0, 1, -1, 0, 4, -1, 0, 0, 0, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 2, -1, 1, -1, -1, 4, -1, 1, -1, 1, 0, 1, 2, -1, 0, 0, 1, 0, 0, -1, 0, -1, -2, 0, 1, 2, 0, -1, 4, 2, -2, 1, 0, 0, 1, 1, 0, 1, 2, -2, 0, 0, -1, 0, -1, 0, 2, 1, 0, 1, 2, 4, -1, 2, 0, 0, 2, -1, 0, -1, 1, -1, 0, 0, -2, 0, -2, 0, -2, -1, 0, -1, -2, -1, 4, 0, -1, -1, -2, -1, 0, -1, -1, 2, 1, 0, 1, 0, 2, -1, 0, 0, 1, 1, 1, 2, 0, 4, -1, 1, 2, 0, 1, 0, 1, 0, 0, 0, -1, 0, 0, -2, 2, 0, -1, 0, 0, 0, -1, -1, 4, -1, 1, 1, 0, 0, -1, -1, 0, 0, 1, 0, -2, 1, 0, 0, 1, 1, 0, 0, -1, 1, -1, 4, 2, 0, 1, 0, 2, -1, 0, 1, 0, -1, 1, -1, 2, -1, 1, 2, 1, 2, -2, 2, 1, 2, 6, -1, 1, -1, 0, -2, 1, 0, 0, -1, -2, -1, 0, 0, -1, -1, 1, -1, -1, 0, 1, 0, -1, 4, 0, 2, 0, -1, 0, 0, 1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 4, -1, 1, 0, 0, 1, 0, -2, 1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 0, 0, -1, 2, -1, 4, 0, 0, 0, 0, 0, 0, -1, -1, 1, 2, -1, 1, 2, 1, -1, 1, -1, 2, 0, 0, 1, 0, 6, -2, -1, -1, 0, -1, 0, 1, -2, -1, 1, 0, -2, -1, 2, 0, -1, -1, -2, -1, 0, 0, -2, 4, 0, 1, 0, 0, 1, -1, -1, -2, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 4, 1, 1, -1, 0, -1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 1, 1, 4, 0, 0, 1, -1, -1, -1, -1, 0, -1, -2, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 4, -1, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 0, -2, 0, -1, 0, -1, 0, -1, 4, 1, 0, -2, 0, 2, -2, -1, -2, 2, 0, -2, 1, -2, 0, 1, -1, 0, 1, 0, 1, 0, 1, 6, -1, 2, 1, -1, 0, 0, 0, -1, -2, 1, -1, -1, 0, 0, -1, 1, -1, -1, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, -1, 1, 1, 1, 0, 1, 1, -1, 2, 0, 2, 1, 0, -1, 1, 1, 1, 1, 1, 4, -1, -1, 0, 0, 0, 0, 1, 2, 0, -1, 1, 1, 1, 1, -1, 1, -1, 2, 2, -1, -1, -1, 4, 2, 1, -1, 1, -2, 0, -1, -1, 1, 0, -2, 0, 1, 1, -1, -1, 0, -1, 0, -2, -1, 2, 4, 1, -1, -1, -1, -1, -1, 0, 1, -2, -1, -1, 1, 1, 1, -1, 0, -2, -1, -1, 0, 1, 1, 4, 0, 0, 0, 1, 1, 0, -1, -1, -1, -1, 0, 0, 0, -2, 1, 1, -1, 1, 0, -1, -1, 0, 4, -1, 2, -1, 0, 2, -1, 1, 2, 2, 0, 1, 0, 0, 0, -1, 0, 1, 0, 1, -1, 0, -1, 4, -2, 0, 0, -1, 1, 0, -2, -1, 0, 0, -2, 0, 0, 2, 0, 1, 0, -2, -1, 0, 2, -2, 4, 0, 0, 2, -2, 0, 1, 2, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 1, -1, 0, 0, 4, 0, 0, -1, 1, 0, -1, 1, -2, -1, 0, 0, 2, -1, 1, 2, -1, -1, 1, 0, 0, 0, 0, 4, -1, 0, 1, 0, 1, 0, 0, 0, -1, 2, 2, 1, 1, 0, -1, 0, 0, 2, -1, 2, 0, -1, 4, -2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, 1, -2, -1, 0, -2, 4, -1, -1, 0, -1, 1, 0, 1, 0, -1, 0, 2, 1, 0, -2, -1, 1, 0, 0, 1, 1, 0, -1, 4, 1, 2, 1, -1, -1, 1, 0, 1, 1, 0, 1, -2, -1, -1, 2, -2, 1, 0, 0, 1, -1, 1, 4, 1, 0, -1, 1, 1, 0, 0, 0, 2, 1, 0, -1, -1, 2, -1, 2, -1, 1, 0, 0, 2, 1, 6, 0, 0, 1, 0, 1, -2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, -1, 1, 0, 0, 4, 0, -1, 0, 1, 1, 0, 0, -1, 1, 1, 0, 1, 0, 0, -2, 0, 1, 1, -1, -1, 0, 0, 4, 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 0, -2, 1, -1, 0, 0, 0, -1, 1, 1, -1, 0, 4, 0, 1, -1, -1, 1, -1, -1, -1, -2, 0, 0, 0, 0, -1, 0, 1, 1, 1, 0, 0, 0, 0, 4, -1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, -1, 4, 2, 0, 1, 2, -1, -2, 1, -1, 2, -1, 2, 2, 0, -1, 1, 0, -2, 1, -1, -1, 0, 2, 6, 0, 1, -1, 0, -1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 1, 0, 1, 1, 0, -1, -1, 2, -1, -1, 1, 1, -2, 0, 1, 2, 2, -2, 1, 1, 4, 1, 2, 1, 1, 2, -1, -2, -2, 0, -2, -1, 2, -1, 1, 1, 2, -1, 1, 0, -1, 0, 1, 4, 1, 0, 1, 2, 0, 0, -2, 1, -1, -2, -1, 1, 2, 0, 1, 1, 1, 1, -1, 1, 2, 1, 4, -1, 2, 1, -1, -1, -1, 0, 0, -2, 1, -1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, -1, 4, 1, -1, -1, -1, -2, 0, -2, 0, 0, -1, 2, 1, -1, -2, 0, -1, 0, 1, 1, 1, 2, 1, 4, -1, 0, 0, -2, 0, -1, -2, 1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 2, 2, 1, -1, -1, 6, 0, -2, 0, 1, -2, -1, 0, 0, 0, 0, 3, 2, 1, 2, -2, 0, -1, 0, -1, -1, 0, 0, 4, 2, 0, 0, 1, 1, 1, 1, -2, 0, 0, 1, 0, -1, 0, -1, -2, 0, -1, -1, 0, -2, 2, 6, 2, 1, 2, -1, 0, 1, 0, 0, -1, -1, 1, 1, 0, -1, -2, -2, -1, -2, -2, 0, 0, 2, 6, -1, 2, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 2, 0, 1, 0, 0, 0, 1, 0, 1, -1, 4, 0, -2, 0, 1, -1, -1, 0, 1, 2, 0, 0, -1, -2, -1, 0, -2, -1, -2, 1, 2, 2, 0, 4, 1, 0, 0, -1, 0, -1, 1, -1, 0, 1, -1, -1, -2, -2, 0, -2, -1, 1, -1, 1, -2, 1, 4, 0, 0, -1, 0, -1, 0, -2, -1, 1, 1, 2, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 4, 0, -1, 0, 1, 0, 0, -1, 0, 1, -1, 1, -1, -1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 4, 0, -2, -1, 2, 1, 0, 1, -2, 1, 2, 0, 2, 1, 0, -2, 0, 0, -1, -1, -1, -1, 0, 6, 0, -1, -1, 0, 2, -1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 4, 1, -1, 0, 0, 0, 1, 2, 1, 2, -1, 0, 3, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, 4, 1, 1, 1, -1, 2, -1, 1, 1, -2, 0, 2, 1, -1, 1, 1, 1, 0, 0, 2, -1, -1, 1, 6, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, -1, 2, -1, -2, 0, 1, 0, 0, 1, 0, 4, 1, 0, -2, 0, 1, 1, -1, -1, 2, -1, 1, 1, 0, 0, -1, -1, 0, 2, 0, 1, 0, 1, 6, -1, 1, -1, -1, 0, 0, 0, -2, 0, 0, -1, 0, 1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 0, -1, -2, 0, -2, 0, 0, 0, 0, 1, 0, 1, 1, 0, -2, -1, 0, -2, 4, -2, 2, 0, 1, 0, 2, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 0, 2, -1, 0, 2, -2, 4, -2, -1, -1, 0, -2, -1, 0, -1, 0, 0, 1, 0, -1, 1, -1, -1, -2, 1, 1, -2, 2, -2, 4, 2, 1, 1, 2, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 2, -1, 0, -2, 0, -1, 2, 4, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, -2, 0, 1, 0, -1, 0, 1, -1, 1, 1, 4, -2, 1, -1, -1, 0, 1, 2, 0, 1, -1, -1, 1, 1, 1, 0, -2, -1, 0, 0, 1, 0, -2, 4, 0, -1, 1, 0, -1, 0, 0, -1, 1, -1, 0, 1, 0, 1, 2, -2, 2, -2, 2, 1, 1, 0, 4, 0, 1, 0, 1, 1, -1, -1, 0, -1, 1, 0, 2, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, 4, 1, 0, 0, -1, 0, -1, 0, 1, 1, -1, 0, -1, -1, -2, 0, 0, 0, 1, -1, 1, 1, 1, 4, 0, 0, 0, 1, -2, 0, -1, -1, -1, 1, 2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 1, 0, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, 0, 0, 0, 4, 1, -1, -1, 0, 0, -1, 0, -1, -1, -1, 0, 1, 0, 1, 1, 2, 0, 1, -1, 0, 0, 1, 4, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, -1, 0, 4, 1, 0, 1, -2, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, -1, -2, 1, -1, 0, 1, 4, -1, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 4, 1, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, -1, -1, -1, 1, -1, 1, 0, 0, 1, 0, 1, 4, -1, -1, -1, -1, 0, 1, 1, -1, -1, -2, 1, 0, 1, 1, -1, -1, -1, 1, -2, 0, 0, -1, 6, 1, 1, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, -1, -1, 1, 0, 1, -1, 1, -1, -1, 1, 4, 0, 1, 0, -2, 2, -2, 2, 1, 1, 0, 2, 0, 1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 4, 1, 0, -1, -1, 1, -1, 0, 0, 1, -1, -1, 2, 0, -1, 0, 0, -1, -1, -1, 0, 1, 1, 6, 0, 0, 0, 1, 0, -1, -2, 2, 0, -1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, 1, -1, 1, -2, 2, 0, 1, 0, 2, -1, -1, 2, 1, 1, -2, -2, -1, -2, 4, -2, 2, 1, 0, 2, 0, 2, -2, -1, -1, -1, -2, 0, 0, -1, -1, -2, 2, 2, 0, 2, -2, 4, -2, -1, -1, -1, -1, -2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, -2, 0, -1, -2, 2, -2, 4, 2, 1, 0, -1, 2, -2, -1, -1, -1, -2, -1, 1, -2, -1, -2, 2, 1, 0, -1, 1, -1, 2, 4, 2, 0, 1, 1, -1, -2, 1, 1, -1, -2, 2, -1, 1, -1, 1, -1, 0, 1, 0, -1, 1, 2, 6, -2, 2, 1, 0, -2, 0, -1, 2, -4, 2, -1, 1, -1, 1, 0, 1, -1, 2, -1, 0, 0, -2, 6, 2, 0, -2, -2, -2, 0, -2, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 2, 2, 6, -1, 1, -2, 0, 0, 0, -1, 0, 2, 2, 1, -1, -2, -1, -2, 2, -2, 2, 1, 1, 0, -1, 4, -1, 0, -1, -1, 0, -1, 1, -2, -1, -2, 2, 1, 1, 2, -2, 1, -2, -1, 0, -2, 1, -1, 4, 1, 2, 1, 1, 0, 0, 1, 0, 1, -1, -2, -1, 0, -1, 1, -1, -2, -2, -2, -2, 0, 1, 4, 0, 0, 0, 2, -1, 0, -1, 0, 0, 0, 1, 1, -1, 1, -1, 1, 0, -2, 0, -1, 2, 0, 4, 2, 0, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, 1, -1, 1, -1, 0, 0, -1, 1, 0, 2, 4, 0, 0, 1, 0, 1, 0, -1, -2, 0, 2, -2, 0, -2, -1, 2, -2, 0, 0, 1, 0, 0, 0, 6, -1, 0, 0, 1, 1, -1, -1, 2, -1, 0, 1, -1, -2, -4, 0, -1, -1, 0, 2, 0, 0, -1, 6, -2, 0, -1, 2, -1, 1, 0, -1, 0, 0, 1, 2, 2, -1, 0, 1, 0, -1, 0, 1, 0, -2, 4, -1, 1, -1, 1, 0, 1, 2, -1, 1, -2, -1, -1, 1, 2, -2, 1, 0, 1, 0, 0, 0, -1, 4, 1, 1, -2, -1, -1, 1, -1, 1, -1, 1, 1, 0, 2, -1, 0, -1, 0, 1, 1, -1, 1, 1, 4, 1, -1, -1, 0, 1, -2, 1, -2, -1, -1, 0, 1, -2, 1, 0, 0, 0, 1, 2, -1, 1, 1, 4, -2, -1, 0, -2, 2, -2, 2, 1, 1, 0, -1, 2, -1, 0, -1, -1, -1, -1, 1, -2, -1, -2, 4, 2, 1, -2, 2, 0, 1, -1, 0, 0, -2, 1, -2, 0, -1, -2, -1, 1, 0, -1, -1, -1, 2, 6, 0, -1, 0, -1, 0, 0, 1, -1, -1, 1, -1, 1, -1, 0, 2, 0, 1, -1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, -2, -1, -1, 2, -1, -1, 1, 1, -1, 2, -1, 0, -1, 1, -1, -2, 1, 1, -1, 4, 1, -1, 2, 1, 1, -1, 2, 0, 0, 1, -1, 1, -1, -1, 0, -1, 0, 1, 0, 1, 0, 1, 4, -1, 1, 2, -1, -1, 1, 0, 1, 0, -1, 1, -2, -1, 1, -2, 1, -1, 1, 1, 2, -1, -1, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, -2, 0, -2, 0, 1, -1, -2, 2, 1, 0, 4, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, -1, 1, 2, 0, 1, 4, 1, -2, 0, 1, 0, 0, 0, 0, -1, -1, 0, -2, 0, 1, 0, 0, -1, 1, -1, 0, 0, 1, 4, 0, 1, 0, -1, -1, 1, -1, 1, 1, 0, 0, 0, 2, -1, 0, 2, -1, -1, 1, -1, -2, 0, 4, -1, -2, 0, 0, -1, 1, 0, 0, -1, 2, -1, 0, 0, 0, -1, 2, 1, 0, 2, 0, 1, -1, 6, 1, 0, 1, 1, -1, -1, 2, -1, -1, 2, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, -2, 1, 4, -1, 0, 1, 0, 0, 0, 1, 0, 1, 1, -1, 0, 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 4, 0, -1, 2, -2, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 4, -1, 0, -1, 0, -2, 0, -1, -2, 0, 0, -1, -1, -1, 1, 0, 0, 1, -1, 1, 1, -1, -1, 4, -1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, -1, 1, -1, 0, 2, 0, -1, 6, -2, -1, 0, 0, -2, 1, 2, 0, -1, -1, -2, 0, 0, -1, 1, 0, -1, 0, -2, -1, 2, -2, 4, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 1, 0, -1, 1, 0, 2, 0, 0, 0, 1, -1, 0, 4, 0, 0, 0, -1, 0, 0, -1, 0, 1, -2, 0, 0, 0, -1, -1, 1, 0, -2, 0, 0, 0, 0, 4, 0, 1, 1, 0, 1, 1, -1, -2, 0, -2, -2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, -1, 0, 1, -2, 0, 0, 0, -1, 2, 1, 0, -1, 0, -2, 0, 0, 1, 0, 4, -1, -1, 1, -2, 1, -1, 0, 1, 1, 2, 0, -1, 1, 0, -2, 1, 1, 1, -1, 1, 1, -1, 6, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 2, -1, 0, 0, 0, -1, 0, 4, 0, 1, 1, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, -1, 0, -1, -1, 0, -1, -2, 0, 2, -1, 0, 1, 1, 2, -2, 0, -2, -1, 1, 4, -1, 1, 1, 1, 0, -2, -1, -2, -1, 0, -1, -2, -1, 2, 0, 2, -1, 0, 1, -2, 1, -1, 4, -1, -2, 1, -2, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 1, -1, 4, 1, 0, 1, -1, -1, -1, -1, 0, 1, 0, 1, 1, -1, 0, 1, 0, -1, 0, -1, 1, -2, 1, 4, -1, 2, 0, 0, 0, 1, -1, -2, -1, 0, -1, 1, -1, 2, -1, 2, 0, 0, 1, 1, 0, -1, 4, -2, 1, -2, -2, 0, -1, 1, -1, -1, 1, -2, 0, -1, -1, -1, -2, -1, 0, -2, 1, 2, -2, 4, -1, 1, 1, 1, 1, -2, 1, 0, -1, 0, 0, 2, 1, 2, 1, -1, -2, 1, -1, 0, 1, -1, 4, -1, 0, 1, -1, 1, 1, 1, -2, -1, -1, 1, -1, -1, 0, 0, -1, -1, -1, 0, -2, 1, -1, 4, 2, 0, 0, -1, 1, 1, -1, 2, 0, 0, 0, 1, 1, -1, -2, 0, -1, 0, -2, 1, 0, 2, 4, 1, 0, 0, 2, 1, -2, 1, -1, 1, 0, 0, 1, -2, -1, 0, -1, 1, 0, 1, 1, 0, 1, 4, -1, -1, 0, -1, -2, 0, -1, 2, -1, 1, 0, 0, 0, -1, 0, -1, -1, 1, -1, 0, 0, -1, 4, -1, 1, -1, 1, -1, 1, -1, 2, 0, 1, 2, -1, 1, 1, -2, 1, -2, 1, -1, 0, -1, -1, 6, 0, 1, 0, -1, 0, -1, 0, -4, 0, -1, -2, 0, 0, -1, -1, 1, 1, 1, 2, 0, 1, 0, 4, 1, -1, -1, 0, 1, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 1, 1, -1, -1, 1, 1, 4, -1, 1, 0, 1, -1, -1, 1, 1, 2, 0, 1, -1, 1, -1, -2, -1, -2, -2, 1, 0, -1, -1, 4, 0, 1, -2, 1, 0, 0, 1, 0, 0, -1, 1, -2, 0, -1, 2, 1, 0, -1, -1, -1, 1, 0, 4, 0, 0, -1, 1, 1, 2, 2, 0, 0, -1, 0, 0, -1, 0, -1, -1, 1, 0, 0, 0, 1, 0, 4, -1, 1, 0, -1, -2, -1, -1, 1, 2, -1, 2, 1, 0, 1, 2, -1, -1, 1, 1, -2, 0, -1, 4, -1, 1, 1, 0, 0, -1, 0, -1, -1, 1, -1, 0, 0, -1, 2, 0, 1, -1, 1, -1, 1, -1, 4, 1, 1, -2, 1, -1, -1, 2, -1, 2, -1, 1, 0, 1, 0, -4, 0, -1, 0, 1, 0, 1, 1, 6, 0, -1, -2, -1, 0, 0, -2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, -2, 0, -2, 0, -1, -2, 0, 0, 2, -1, -2, -1, 0, 0, -2, -2, 4, -2, 2, 1, -1, 1, 2, 1, 0, 0, 0, 2, 1, 1, -1, 1, 0, 2, 0, 1, 2, 2, -2, 4, -2, -1, 0, -1, -1, -1, -2, 0, 0, 0, 1, 0, 1, -1, 0, -1, 0, -1, -2, -2, 2, -2, 4, 1, 0, 2, 1, 0, 2, -1, 1, 0, 0, 1, -2, 0, 0, 2, -1, 0, 1, 0, 1, -1, 1, 4, -1, 2, 1, 0, 1, -1, -1, -1, 1, -1, 0, 0, -1, 0, -1, 0, 2, 1, -1, 0, 0, -1, 4, 0, 0, 1, 1, -1, -1, -2, -1, 0, -1, 1, -1, -1, -1, 1, -2, -1, 1, -1, 2, 2, 0, 4, 2, 0, 1, -2, -1, 0, 0, -1, -1, 0, 0, 1, -2, 0, 2, -2, 2, -1, 1, 1, 0, 2, 4, 1, 1, -1, 0, 2, 1, -1, -2, 1, 1, 1, -1, 1, 2, 0, 1, -1, 0, 0, 1, 0, 1, 4, -1, 1, -1, 1, -1, 0, 0, 2, 0, 1, 1, 1, -1, -2, 0, -2, 2, 1, 1, 1, 1, -1, 6, 0, 1, -2, -1, 0, -2, 0, 1, -1, -2, -1, 1, 0, 0, 0, -1, -1, -1, -2, -1, 1, 0, 4, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, -1, 0, 0, 1, -1, -1, -1, 0, -1, 1, 1, 4, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, -2, 2, 0, 0, -1, -2, 0, 2, 1, -2, 0, 0, 6, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, -1, 0, 1, -1, -1, 0, 0, 0, 4, -1, -1, 0, -1, 1, 0, 0, 1, 0, 1, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, 1, -1, 4, 1, -1, 0, 0, 0, 0, -1, 2, -1, 1, -2, 0, -1, -1, -2, 0, -2, 1, -1, 0, -1, 1, 4, -1, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, 2, 0, 1, -1, 1, 0, -1, -1, 4, 1, 0, 1, 1, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0, 1, 1, 1, 2, -1, 0, 0, 1, 4, 0, 1, 0, 1, -1, 2, -1, 2, 0, -1, 1, 1, 1, -1, 0, 1, 1, 1, 0, -1, 0, 0, 4, 0, 0, 1, 0, 0, 0, -1, -1, -1, -2, -1, 1, -2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 4, 1, 0, 0, 1, -1, 0, 0, 1, 0, 1, 1, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 4, 0, -2, 2, -2, 1, 2, -2, 2, 2, -1, 1, 0, 1, 1, 1, -1, 0, 0, 1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 2, 1, 0, 1, 2, 1, -1, -1, 1, -1, 1, -1, -1, 0, 2, -1, 1, 4, 2, -1, -2, 2, 1, -1, 1, 1, 1, -1, -1, -2, 1, -2, 0, 1, -2, 0, -1, -1, 2, 2, 4, -2, 0, 0, 0, 0, 1, 0, 0, -1, 0, -2, 2, -1, 1, 0, -2, 1, 0, 0, -1, -1, -2, 4, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, 1, -1, -2, 0, 0, 4, -2, -1, 0, -1, -1, -2, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 2, 1, 2, 0, 0, -2, 4, 2, -1, 0, 0, 2, 0, -1, 0, 0, -2, 0, 1, 0, 0, 1, -2, 2, 1, 0, 0, -1, 2, 4, 1, 0, 0, 1, 0, -2, 0, 0, -1, 0, -1, 0, 0, 2, -1, 1, -1, 0, 0, 0, -1, 1, 4, -1, 1, 0, -1, 0, 0, 1, 0, 1, -1, 0, 1, 0, 0, 0, 1, 1, 1, -1, 0, 0, -1, 4, 0, -1, 0, 1, -1, 0, -1, 1, 1, -1, 1, 1, 1, 1, 1, 0, -1, -1, 0, 0, 1, 0, 4, 1, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, 0, 2, 1, 0, 0, -2, 2, 1, 0, -1, 1, 4, 1, 0, -1, 0, -1, 0, 0, 0, -1, 1, -2, 1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 1, 4, -1, 0, -2, 1, 0, 0, 1, -1, 2, -1, -1, -1, 0, 1, 0, -1, -2, 0, 1, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -2, -2, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 4, 0, 1, -1, -1, 2, 0, 0, 0, 1, 1, 2, -1, 0, 0, 0, 1, 0, 1, 0, -2, 0, 0, 4, -1, 0, -1, -1, 0, 0, 0, -1, -2, -1, 0, 1, -2, -1, 0, -1, -1, -1, 1, 0, 1, -1, 4, 0, -1, 2, -1, -1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 4, 0, -1, 0, 0, 1, -1, 1, 0, 0, -1, 1, -1, -1, 1, 0, 0, 0, 0, -1, -1, -1, 0, 4, -1, 1, 0, 0, -1, -2, -2, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 2, -1, 2, -1, -1, 4, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 0, 0, -1, 0, 1, -1, 4, 1, 0, 2, -1, 0, 1, 0, 1, 2, 0, 1, -1, 1, 2, -1, 0, 0, -1, 0, 0, 0, 1, 6, -1, -1, -1, 0, 1, 2, -2, -1, 0, 1, 0, -2, -1, 1, 0, 0, 0, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, -1, 1, -1, -1, 1, -1, 0, 1, 2, 0, 2, 1, 2, -1, 1, 2, 0, 2, 1, 4, 1, -2, 1, -1, 1, 0, -1, -2, 1, 2, 1, 0, 2, -1, 0, 1, -1, 2, 1, 2, -2, 1, 4, -1, 2, -2, 2, 1, -1, 1, 0, 1, -1, 1, -1, -1, -2, 2, 0, 0, 0, -1, -1, -2, -1, 4, -1, 1, -1, 1, 0, 1, 0, -1, -1, 0, 0, 1, -1, -1, 0, -1, 0, -2, -1, 1, 2, -1, 4, -2, 1, -1, -2, 1, 0, 1, 0, -1, 1, 0, -2, 2, -1, -1, 0, 1, 1, -1, -2, 1, -2, 4, -2, -1, 0, 0, -1, -1, 0, -1, 1, 0, 2, -1, 1, 1, -1, -1, -1, 1, 2, -1, 1, -2, 4, 0, 0, -1, 0, 1, 0, 1, -2, -1, -1, 2, 0, 1, 0, 1, -1, 0, 1, 1, -1, -1, 0, 4, 0, 1, 0, 0, 0, 1, -1, -1, -1, -1, -1, -1, 0, -2, 1, -1, -1, 0, -2, 0, 0, 0, 4, 0, 0, -1, 1, 2, -1, 0, 1, -1, 2, 0, 0, 1, -1, -2, 1, 1, 1, 0, -1, 1, 0, 6, 0, 0, 0, 0, -1, -1, -2, 1, 0, -3, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, -1, 1, -1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, -1, 1, -1, 1, 0, -1, 0, 0, 4, 0, -1, 1, 0, -1, 1, -1, 0, 0, 1, 2, 1, -1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 4, 0, 2, -1, 1, 0, 0, 1, 1, 3, 0, 0, 1, 0, -1, -1, 1, 1, 2, 0, 1, -1, 0, 4, -2, 0, 0, 0, 1, 1, 1, 0, 2, 2, -1, 0, 1, 1, -2, -1, -1, -1, -1, 1, 2, -2, 6, 0, 0, -1, 0, 1, 0, 2, 1, -1, -1, 1, 0, 0, -1, -1, 0, -1, 0, 0, -1, 0, 0, 4, 1, -1, 0, 0, 0, 0, 2, 0, -2, -1, -2, 2, -1, -1, 1, -2, 0, -1, 1, 0, 0, 1, 4, -1, 1, 2, 0, 1, -1, 1, 2, -1, 2, -1, 2, -1, -1, 1, 1, 1, 0, 0, -1, -1, -1, 4, 0, 1, 1, 1, 1, -1, 0, 0, -1, 1, 0, -1, 2, 0, 0, -1, 0, 1, 0, 0, 1, 0, 4, 1, -1, 0, 2, 2, 0, -1, -1, 1, 1, -1, 0, -3, 1, 0, 1, 1, 1, 0, 2, 1, 1, 6, 1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, -1, 1, 4, 1, 2, 2, -1, -2, 1, -1, 1, -2, 1, -1, 0, 1, 3, 0, 2, 0, 1, 1, 0, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 2, 1, -1, 1, 1, 1, -1, 0, 1, 1, -1, 0, -1, 1, 0, -2, 4, -2, 2, 1, -1, 1, -2, 1, 0, -2, 0, -1, 1, -1, 0, 0, 1, 0, 1, 0, 1, 2, -2, 4, -2, -1, 0, -1, 1, 0, -1, 2, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, 0, -2, 2, -2, 4, 1, 0, 2, -2, 1, 1, -1, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 0, 1, -1, 1, 4, -1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, -1, -1, 1, 2, -1, 2, 1, -1, 0, 0, -1, 4, 0, 1, 0, 1, 1, 1, 0, -1, -1, 1, -1, 0, 1, 0, 2, 0, -1, 1, -1, 2, 2, 0, 4, -1, 2, 2, 1, 0, 0, 0, 0, 0, -2, -1, 2, 2, -2, 2, 2, -2, 1, -2, 0, 1, -1, 4, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, -1, 4, 1, 0, 1, 1, 0, 0, 1, -1, -1, 1, 1, -1, 2, -1, 0, -1, 1, 1, 1, 2, 0, 1, 4, 1, 1, 0, -1, 1, 0, -1, 0, 2, 1, 0, 1, 1, -2, 2, -1, 0, 1, 1, 0, 0, 1, 6, 1, 1, 0, -1, -1, -1, -2, 2, -1, -2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 4, 1, 1, 0, 2, 1, -1, 1, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 4, 1, 1, 1, -1, -2, 0, 0, -1, 0, -1, 1, 0, 0, 1, -1, 0, -1, 0, -1, 0, 1, 1, 4, -1, 1, 0, -1, -1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, 0, 1, -1, 4, 0, 0, -1, 1, 0, -1, -1, 1, 0, -1, 0, 1, 1, 0, 0, 1, 0, -1, 2, 1, 1, 0, 4, 1, -1, 0, 1, 1, 0, 1, 0, 1, -1, -1, -1, -2, 0, -1, -1, -1, 1, -1, 0, 0, 1, 4, 1, -1, -1, 1, -1, -1, 1, 0, 1, -1, 0, -1, 0, -1, 0, -2, -1, -2, -1, -1, -1, 1, 4, -1, 0, 2, 0, 0, 0, -1, 1, 1, 1, 2, -1, 1, 2, 2, 1, 0, -1, 1, 0, -1, -1, 4, 0, -1, 1, -1, 1, -1, 1, 2, 0, 2, 0, 1, 1, -1, 1, 0, 1, 0, 1, -1, 0, 0, 4, 0, 1, 1, 0, -1, -1, -1, 2, -2, 2, -1, 0, -2, 0, -1, -1, -1, 1, 1, 2, -1, 0, 6, -1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 0, -1, 2, 1, 2, 2, 1, -2, 1, 2, 1, -1, -1, -1, -2, 1, 1, 0, 2, 1, 4, 0, -1, 0, 2, 0, 0, -1, 2, 0, -1, 2, 0, -1, 0, 1, -2, 1, -1, 1, -1, -1, 0, 4, 0, 0, -1, 0, 0, 0, 1, 2, -1, -2, 0, -1, -1, -1, 0, 1, 1, -1, -2, 0, -1, 0, 4, 0, -2, 0, 0, 2, 1, 1, 2, -1, -1, 1, 0, 1, 1, -2, 2, 0, 2, -1, 0, 0, 0, 4, -2, -2, -1, -1, 0, 0, 0, 0, 1, 0, -1, 1, -1, 1, -2, 1, -2, 2, 2, -1, -2, -2, 6, 1, 2, 0, 0, -2, -1, 3, 1, -1, 0, -2, -2, 2, 1, 1, 1, 1, 0, 0, 0, -2, 1, 4, 2, 1, 0, -1, 0, 0, -1, 1, 0, -1, -1, 1, 0, 0, 1, 2, 0, 0, 0, -1, 2, 2, 4, 2, 0, -2, 0, 0, 1, -1, 0, -2, -2, 2, 0, 0, 2, 2, -1, 0, 2, -1, 0, 1, 2, 4, 1, -1, 2, 0, 0, 0, 0, -1, -1, 0, 2, -1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 1, 0, 1, -1, 0, 0, 0, -2, 1, 1, 0, 0, -2, 0, 2, 1, 0, -2, -1, -2, -1, 1, 4, -1, -2, -1, 0, 0, 1, 1, -1, 1, 0, -1, 1, -1, -1, 2, 0, -1, 0, 0, 2, 0, -1, 4, 1, -1, 0, -1, 1, 0, -1, 2, 0, 2, 2, 2, -2, -1, 0, 3, 0, 0, 0, 1, -2, 1, 6, 1, -1, 0, 0, -3, 0, 0, 2, 1, 1, 0, 0, -1, 1, 1, -1, 1, 0, -1, -1, -1, 1, 4, -2, 0, -1, -1, 0, -1, 1, 0, -1, -1, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, -1, -2, 4, 0, 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 4, 1, 1, -2, -1, 0, 1, -1, 1, -1, 1, 1, -2, -1, -2, -1, 0, 1, 1, 0, -1, 0, 1, 4, 1, -2, -1, 1, 0, -2, -2, 0, 1, -1, -2, -1, -2, -1, -2, 1, 0, -3, -1, 1, 1, 1, 6, -3, 1, -1, 0, 1, 1, 1, -2, 1, 2, 1, 2, 0, 1, -1, -1, 0, 0, 0, -2, -2, -3, 6, -1, 0, -1, 1, -1, 1, 2, -2, 1, 0, 0, 2, 1, 1, 2, 0, -1, 0, -1, -1, 1, -1, 6, 0, 2, 0, 1, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 2, 1, -1, 0, 1, -1, 0, 0, 4, 0, 2, -1, -2, 2, -2, 1, 1, 2, 2, 0, -1, 2, 1, 0, 0, 1, 0, 0, -1, 2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, 1, -1, 0, -2, -1, 0, 2, 1, 0, 1, 0, -1, -2, 1, 0, 0, 1, -2, 4, -2, -1, -1, -1, 0, 1, 2, 2, -1, 0, 0, -1, 0, 0, 1, 2, -1, 0, 1, -1, 2, -2, 4, 0, 0, 1, 0, -1, -2, -1, -1, 1, 0, 1, 0, -1, -1, -1, 0, -1, -1, 0, 1, -1, 0, 4, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, -1, 0, 0, 0, 2, 1, 1, 0, 1, -1, 0, 0, 4, 2, 0, -1, -1, -1, 0, 1, 1, 0, 0, -1, 1, 0, -1, 1, -1, 1, 1, -1, 1, 0, 2, 4, 1, 0, -1, -2, -1, 2, 0, 1, 0, -2, -1, 0, 0, -1, 0, 1, -1, 0, 0, 1, 0, 1, 4, 0, 0, 1, -1, 0, -1, 1, -2, -1, -1, 2, 0, 0, 0, 1, 0, 1, -1, 1, -1, 0, 0, 4, 0, 0, 1, 1, 1, 1, 0, -1, 0, 1, 0, 1, 1, -1, -2, 2, -2, 0, -1, -1, 0, 0, 4, 1, 1, -1, -1, 0, -1, 1, 1, 1, 0, -1, 0, -1, -1, 2, -1, 0, -1, -2, 1, 0, 1, 4, -1, -1, -1, 0, -1, 0, 1, 1, 0, 1, 0, -1, 0, -1, -1, 1, 0, -1, -1, 1, 1, -1, 4, -1, 1, 0, 0, 1, 1, -1, 1, 0, -1, -1, 2, 0, 1, 1, 1, 2, 0, 1, -1, -1, -1, 4, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, -1, 1, -1, -1, 1, 1, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 4, -2, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, -2, 0, -1, -1, 0, 0, 0, -2, 4, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -2, -1, -1, 1, 0, 1, -1, 0, -1, 1, 4, 1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, -1, -1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 4, 0, -1, 1, -1, -1, -2, 2, -1, 0, 0, 0, 2, 1, 1, 1, -1, 0, 0, 0, -1, -1, 0, 4, -1, 1, 1, 0, 1, -1, 0, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, -1, 4, -1, 1, 0, 0, 0, -1, 1, 1, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 1, -1, 4, 1, 0, 0, 1, -1, 1, -1, 0, 0, 1, 0, 0, -1, 1, 1, -1, 0, 0, -1, 1, 1, 1, 4, 0, 1, -1, 0, 0, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 1, -1, 2, 0, 0, -2, 1, 0, -1, -2, 1, 0, -2, -1, 0, -2, 4, -2, 2, 1, -1, 1, 0, 1, -1, 1, -1, 2, -1, -1, 0, 1, 0, 0, 2, 1, -1, 2, -2, 4, -2, -1, 0, -1, -1, 0, 2, 1, -1, -2, 1, 1, -1, -1, 0, -1, -1, -2, 0, -2, 2, -2, 4, 1, -1, 2, 1, 1, -2, 1, 0, 2, -1, -1, 0, 2, -1, 1, 0, 2, -1, 0, 1, -1, 1, 4, 1, 2, 2, 1, 0, 0, 1, 1, 1, -1, -1, 0, -1, -1, 0, -1, 1, 1, -1, 0, -1, 1, 4, 1, 2, 0, 0, -2, 1, -1, 2, -1, 1, -2, 0, 0, -2, 0, 2, -1, 1, -1, 2, 2, 1, 4, 2, 2, -1, -1, 0, 1, 1, -2, 0, 1, -2, -1, 0, 1, 1, 1, 0, -1, 1, 2, 2, 2, 4, 1, -1, -1, 1, 0, 1, -1, 0, 0, 0, 0, -2, 0, 1, -1, 1, 0, 1, 1, 0, 2, 1, 4, 0, 0, -1, 0, 1, 0, 1, 1, -1, -1, 1, 1, 1, 2, -1, 2, -2, 0, 0, -1, -1, 0, 4, 1, -1, -1, 1, 1, -1, -2, 1, 0, 0, -1, 0, 0, 1, 1, 1, 0, -2, -1, -1, 0, 1, 4, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 0, -1, -1, 0, 1, 1, 0, 1, -1, -1, -1, 4, -1, 1, 0, 1, 0, -1, 0, 0, 0, 1, -2, 2, -2, 2, 1, -1, 1, 0, 0, -1, 1, -1, 4, -2, 0, -1, 1, 0, 1, 1, 0, -1, 1, -1, 1, -1, 1, 2, 1, 1, 1, 1, -1, 1, -2, 4, 0, 0, -1, -1, -1, 0, -1, 2, 0, -1, 1, -1, -1, -1, -2, -1, 0, 1, 1, 0, 0, 0, 4, 0, 0, 1, 1, 1, -1, -1, -1, 0, -1, 0, -1, 1, 0, 0, 1, -1, -1, 1, -1, 0, 0, 4, 0, 0, 0, 0, 2, 1, -2, 1, -1, 2, 0, -2, 1, 0, 1, -2, 1, 0, 1, -1, 0, 0, 4, -1, 0, 2, 1, 0, 1, 0, 0, -1, -1, 0, -2, 0, -1, 1, 1, -1, 0, -1, 1, 0, -1, 4, 2, -1, -1, -1, 0, 0, -1, 1, -1, 0, -1, 0, -1, 0, 1, 0, 1, -1, 1, 0, 0, 2, 4, -1, 1, -1, -2, 2, -1, 0, 0, -2, 0, -2, 1, 0, 1, 0, 1, 0, 1, 0, 2, -1, -1, 6, 1, 0, -1, 1, -2, 2, -1, 0, 1, 0, 1, -1, -1, 0, 0, -1, -1, 2, 1, -1, 1, 1, 6, -1, 0, -1, 0, -1, 1, 2, 1, 1, 1, 0, -1, 1, -1, 2, -1, 1, 0, -1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, 1, -1, 2, 1, -1, 2, 0, 1, 0, 1, -1, 0, 2, 1, -1, -2, -1, -2, -2, 4, 2, -1, -1, 1, -1, 1, -1, 0, 0, -2, -1, -1, 0, -1, -1, -1, 0, 2, 0, 2, -2, 2, 4, -2, 0, 2, -1, -1, 1, -1, 0, -1, 0, -2, 0, 0, -2, 0, 1, 1, 0, 1, 2, -1, -2, 4, -1, -1, 2, 1, -1, 1, 1, 0, -1, 1, -1, 0, 2, 0, -1, -1, -1, -2, 1, -1, 0, -1, 4, 0, -1, -1, 1, 1, -1, 1, 2, -1, 1, 1, -1, 1, -1, 0, 1, 1, -1, 1, 2, -1, 0, 4, 1, 1, -1, 1, 0, -2, 0, -1, 0, 0, -1, 0, 2, 2, 0, 2, 2, -1, -1, 2, -1, 1, 6, 3, -2, 3, -1, -1, -1, 0, -2, 1, 1, 2, 0, 1, 0, -2, 1, 1, -1, 1, -1, 1, 3, 6, -4, 1, 1, -2, 0, 1, 0, 1, 2, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, -1, -2, -4, 6, 0, -2, 2, 0, -2, -1, 1, -1, 0, 0, 1, 0, 1, 2, 0, -1, 1, 1, 1, 3, 1, 0, 6, -2, -1, 0, -1, -1, 0, 0, 2, -1, 2, -1, 1, 0, 0, 0, 1, -1, 0, -1, 1, -2, -2, 4, 0, 1, 2, 1, -1, 1, -1, 1, -2, -1, -1, 1, -2, -1, 0, 1, -2, -1, -2, 2, -1, 0, 4, 0, 0, 0, 0, 1, 0, -1, -2, 0, -1, 0, -1, 0, -1, 2, 0, -1, 0, 0, 0, 1, 0, 4, 0, 1, 0, -1, 1, 0, 0, 0, 1, 1, -1, -2, 1, -1, -1, 0, 1, -2, -1, 2, 0, 0, 4, 0, 0, 2, 0, 0, -2, 0, -2, -1, 0, 0, -1, 1, 0, -2, 0, -1, -1, 1, 0, 1, 0, 4, 0, -1, -1, 0, -1, 1, 1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 0, -1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 2, 0, 2, -1, -2, 2, -1, -1, 1, 2, -1, 0, 1, 1, -1, 2, -1, 1, 4, -1, 0, -2, 0, -1, 1, -1, 0, 0, 1, 0, 2, -1, 0, 2, -1, 0, 1, 0, -1, 0, -1, 4, -1, 1, 0, -1, -1, 0, 1, -1, -1, 2, 0, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, -1, 4, 0, 0, 1, -2, 2, 1, -1, 0, 2, 1, 0, 1, 2, -2, -2, 0, -2, -1, 0, -2, 1, 0, 6, 1, 3, -1, 0, 0, -1, 1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 4, 0, -2, 2, 1, -2, 1, 2, -2, 0, 1, 1, -1, -1, 1, -2, 1, 0, -1, -1, 1, 3, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 1, -2, -2, -1, 0, 1, 2, 1, 0, -2, -2, 0, 1, -2, 1, 2, 1, 0, -1, 4, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, 1, -1, -1, -2, 1, 1, 0, -2, 1, -2, 0, 4, -2, 1, 2, 0, 0, 0, -1, -2, 0, 0, 2, 0, -1, -1, 0, 0, -2, -1, -1, 2, 1, -2, 4, 0, -2, -1, 0, -1, 1, 1, 0, 0, -1, -2, 1, -1, 0, 1, 1, 0, 1, 1, -1, 1, 0, 4, 1, -2, 1, 0, 0, 0, 2, 1, -1, -2, -1, 0, -2, -1, 0, -1, -2, -2, 0, 2, -2, 1, 4, 1, 1, 0, 0, -2, 0, 1, 2, 1, 0, 0, 0, -1, -2, 0, -2, -2, 1, 0, -1, -2, 1, 4, 1, 0, 0, -1, -2, 1, 2, 1, 1, 0, 2, -1, -1, 1, 1, -1, 0, 0, 0, 1, 1, 1, 4, 0, -1, -1, 0, 1, 1, 0, 0, 1, 1, -1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 4, 0, 0, -1, 1, -2, 2, -1, 0, -1, -1, 0, 2, 0, 1, 1, -1, 1, 0, 0, 0, -1, 0, 4, 0, -1, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, -2, 1, 0, -2, -1, -1, 0, 0, 4, 0, 0, -3, 0, 0, 0, -1, 0, 2, 0, 1, 1, -1, 0, 0, 2, 0, -2, 0, -1, -1, 0, 4, 0, -1, -2, -1, 1, -1, 0, 0, -2, -2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 4, -1, 0, -1, 0, -1, 0, 0, 0, 0, -2, 1, 2, -1, -1, 2, 2, 1, -2, 0, -3, -1, -1, 6, -1, 1, 0, 2, 0, -2, 0, 0, -2, -1, 0, -2, -2, 1, 1, 0, 2, -1, 0, -2, 0, -1, 6, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 1, -1, 0, 1, 0, -1, 0, 0, -1, -1, 1, 0, 4, 1, 1, -1, 0, 2, 1, 1, -2, -1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, 1, 0, -2, 1, 0, 0, -2, 0, 2, 1, -1, 0, -1, -1, -1, 2, 0, 1, 0, 4, 0, -1, 0, 1, 1, 1, 0, 1, -1, -1, -1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, -1, 1, 2, 0, -2, 1, 0, -2, -1, -1, 0, 0, 2, 0, 0, -2, 0, 0, 0, -1, 0, 4, 1, 1, 1, -2, -1, 0, -1, 0, 1, -1, 2, 1, 0, -2, 0, 0, 1, 2, 1, 0, -1, 1, 6, 0, 0, 1, -1, 1, -2, -2, 1, 0, 0, 0, 1, -2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, -2, 2, -2, 0, 1, 2, 0, -1, 1, 1, 2, 2, -1, 1, -2, 2, 1, 4, 2, -1, 0, 2, -1, 1, 0, 1, 1, 2, 1, -1, -1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 6, -2, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 0, 0, 1, 2, 1, 0, -1, -1, -1, -2, 4, -1, 0, 0, 0, 1, 1, -1, -2, 1, 1, 0, 1, -2, -1, 0, 0, 1, -1, -1, 0, 0, -1, 4, 0, 2, 0, 1, -1, 0, 1, -1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 4, -2, 2, 0, 0, 2, 1, 0, -1, 0, 1, 1, 1, 0, 1, -1, 2, -2, -1, 0, 0, 2, -2, 4, -1, 2, -1, -2, -1, 0, 1, 0, 0, -2, 0, 1, 0, 2, -2, 2, 1, 0, 0, 0, 2, -1, 4, 0, 0, 1, 2, 0, -2, 0, 2, 2, 2, 0, 2, -2, 1, -2, 0, 0, 1, 1, 0, 2, 0, 4, 0, -1, -2, 0, 1, -1, 1, -2, -1, 1, 1, 2, -2, 0, 1, -1, 1, -1, 0, -1, 0, 0, 4, 1, 0, 1, -1, -2, 0, 2, -1, 0, 0, 1, -1, 1, 1, 0, -1, 0, 2, -2, 1, -1, 1, 4, 2, -1, -2, 0, 0, 2, 1, 0, 0, -1, 2, 2, 2, 0, -2, 1, 1, -1, 2, -2, 0, 2, 6, 1, -3, 1, 0, 4, 2, -1, 2, -2, 3, 0, 1, -1, 1, -1, 0, 0, 0, 0, 1, -1, 1, 4, 0, -1, -1, 0, 0, 0, 1, -1, 0, -1, -1, 1, 1, 0, -1, 1, -2, 1, -1, -2, -3, 0, 4, 0, 0, -3, -1, 0, -1, 2, -1, 1, -1, 1, 0, 1, 0, 0, 0, -1, -2, 0, 1, -1, 0, 4, 0, -1, 1, 0, 0, -1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, -1, 0, 0, 4, 1, 1, -1, 1, 1, 1, 2, 2, 0, -2, 0, 1, -2, 2, -2, 2, 2, 4, 0, -3, -1, 1, 6, 1, -1, 1, -1, 2, 2, 0, 1, -1, 1, 1, 0, 2, -1, -1, 1, 2, 0, -1, 1, 1, 1, 4, 0, 1, -1, 2, -1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 4, 0, 0, -2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, -1, 0, 1, 1, 1, 0, 4, 0, 0, -2, 0, 0, 1, 2, -1, 2, -2, 2, 1, -1, -2, -1, 2, -1, 1, -1, -1, 0, 0, 6, -2, 2, 0, -1, -1, 1, 2, -2, 1, -2, -1, 2, 3, 0, -1, 2, 1, 2, 2, -2, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 2, 2, -2, 1, -2, 0, 0, 0, 1, -2, -2, -1, 2, -2, -1, 0, 1, 2, -1, 4, -1, -1, -1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 2, 0, -1, 0, 2, -1, -2, 0, 1, -1, 4, 0, 0, 1, 1, 0, 0, 1, -1, 1, -1, 0, 0, 1, -1, 0, -1, 1, -1, 0, 2, -1, 0, 4, 1, 0, -1, 1, -2, -1, 1, -1, 0, -1, 0, 0, 1, -1, -1, -1, 2, 2, 2, -1, 0, 1, 4, 0, 0, 2, 0, -1, -1, 0, 1, -1, -2, 0, 2, -2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 4, -1, -1, -1, 0, -1, 1, 0, -1, -1, 0, 0, 0, -1, 1, 1, 1, -2, 0, 1, -1, 0, -1, 4, 0, 2, 0, -1, 0, -1, 1, 1, 1, -1, 1, 0, 0, -1, -2, 1, -1, 0, 1, 2, -1, 0, 4, -1, 0, -1, -1, 0, -1, -2, 1, 1, 0, 0, -1, -1, 0, -2, 0, 0, -2, 0, -1, 2, -1, 4, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, -1, -2, 0, 1, 1, -1, -1, 0, 0, 0, 0, 4, -1, 1, 0, 1, -1, 0, 0, 1, 1, 1, -1, 0, 0, 0, -1, 1, -1, -1, -1, -1, 0, -1, 4, 0, 1, 0, 2, -2, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, -1, 1, 1, 0, 4, -1, 0, -1, 0, 0, 1, -1, 2, 0, -1, 1, 1, -1, 0, 1, 0, -1, 0, 0, 0, 1, -1, 4, -1, 1, -2, 2, -1, 2, -1, -1, 1, -2, 1, 0, -1, -1, -1, 1, -1, 2, 1, 0, 0, -1, 4, 0, 1, -1, 1, 0, 1, 0, -1, -2, 2, 0, 0, -2, -1, 1, -2, 0, -1, 2, -1, 1, 0, 6, -1, -2, 0, 2, -1, -2, 0, -1, 0, 1, 0, 0, 0, 1, 1, 0, 0, -2, 0, -2, 1, -1, 4, -1, 1, -1, 0, 0, 0, 2, -1, -1, 1, 2, 0, -1, 1, 0, 0, 1, 0, 2, -1, -2, -1, 4, -1, 0, 0, 1, 1, -2, 0, 0, -1, -2, 0, 1, 0, 1, 1, 0, 1, -1, 1, 0, 1, -1, 4, 0, 1, 0, -1, -1, 2, -1, -1, 0, -1, 0, 0, 0, 1, 0, -1, 2, 0, 2, -1, 0, 0, 4, -1, -2, 0, 0, -1, 1, -1, 0, 1, 0, -1, 1, 1, 0, 2, -1, 1, -1, 0, 0, 1, -1, 4, 1, -1, 1, -2, -1, 2, 0, 1, -1, -1, -1, -1, 0, 0, -1, 0, -2, 0, 1, 0, -2, 1, 6, 1, 2, 0, 0, 2, 0, 1, -2, 0, -2, 0, 0, -1, 1, -1, 0, 0, 1, -1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, 2, 2, -1, -1, -1, 2, 1, 1, 0, -2, 0, 0, -2, 1, -1, 1, 0, -2, 2, 4, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, -2, -1, 0, -2, 2, -1, 0, -1, -1, 2, 2, 4, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, -2, -1, -1, -1, 0, -2, 0, -1, -1, -1, 0, 1, 4, -1, 0, 1, 1, 2, -1, 0, 0, -1, 1, -1, -1, 0, -1, 0, 0, 0, 1, 2, 1, 0, -1, 4, 0, 0, 0, 0, 1, 0, 2, 1, -2, -1, 1, -2, 0, -1, 0, 0, -2, 2, 0, 0, 0, 0, 4, -1, -1, -1, 1, 2, 0, -1, 0, 1, 0, -1, 0, 1, 2, 1, -1, -1, 1, 0, 1, 0, -1, 4, 2, 0, 1, -1, 0, 1, 1, -1, -1, 1, 1, 0, -1, -1, 1, -1, 1, 0, 1, 0, -1, 2, 4, 0, -1, 0, -1, 1, 0, -2, -1, 0, 1, -1, 0, 0, 1, -1, 0, 1, 2, 0, -1, 0, 0, 6, 1, 1, 0, -2, -2, -1, 2, 0, -1, 0, 1, -2, 0, 2, 2, 1, -1, 1, 1, 1, -1, 1, 6, 0, 0, 0, -1, 0, 1, 0, 2, 1, 0, -1, -1, 1, 0, 0, 0, 0, 2, -1, 0, 1, 0, 4, -1, -1, -2, 1, 1, -1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, -1, 0, 0, -1, 4, 1, -1, -1, 0, -1, 0, 0, -1, -1, -2, 0, 1, 0, -1, 1, -1, 1, 1, -2, 0, -1, 1, 4, -1, 0, -1, 0, 0, 0, -1, 0, 0, -2, -2, -2, 1, -2, 0, 1, 0, -2, -1, -2, -1, -1, 6, 0, -1, 2, 0, 1, -1, 2, 2, 0, -1, -1, -1, -1, 1, -1, -2, -1, 0, 1, -1, 0, 0, 4, 0, 0, -1, 2, 1, 0, 1, 0, 0, -1, -1, 1, 0, -1, -1, 2, 1, 1, 0, -1, -1, 0, 4, 0, 0, 0, 1, 0, 0, -2, -2, -1, 0, -2, -1, 1, 0, 0, 0, -1, -1, 0, 2, 0, 0, 4, 0, 1, -1, 0, 2, 1, 2, 0, -1, 0, 0, 1, 1, -1, 2, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, -1, -1, -2, 0, -1, 1, 0, -1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 4, 0, 0, 1, 1, 0, 0, 0, 0, 2, -1, 0, 1, 0, 2, -1, -1, -1, 1, 1, -1, 0, 0, 4, 1, 0, 0, -1, -1, 0, 0, 1, -1, 0, -2, -1, 0, -1, 0, 2, 0, 0, 0, 0, 0, 1, 4, 0, -2, -1, -1, 1, -2, -1, 1, 1, 0, -1, 0, -2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 1, -2, -1, 1, -1, 0, -2, 0, 2, 1, -2, -2, 2, 0, 1, -2, 1, 0, 0, 4, -1, -1, -2, 0, 2, 1, -1, -1, 1, -1, 2, 2, -2, -1, 0, -1, -1, 1, -2, 2, 1, -1, 4, 0, 2, -2, 0, 0, -1, 0, 0, -1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 0, 2, -1, 0, 4, 2, 0, -1, 0, -1, 1, -2, 1, 2, 1, -2, -1, 1, 0, 0, -2, 0, 0, 1, -2, 2, 2, 4, 0, -1, 0, -1, 1, -1, 0, 0, 0, 1, 0, 0, -1, 0, -1, 1, 0, -2, 0, -2, 0, 0, 4, 1, -1, 1, 1, 1, 0, -1, 0, 1, 1, -1, 0, -2, 1, 0, 1, -1, 2, 0, -1, -1, 1, 4, 1, -1, 0, 1, -2, -1, 2, -1, 0, -1, 0, -2, 1, -2, 2, 1, 1, 0, 0, 0, -1, 1, 4, -2, -1, -1, -1, 1, 1, -1, -1, 2, 1, 0, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -2, 6, -1, 1, 2, -2, 0, 1, 2, 0, -1, 1, 1, 2, -1, 0, -1, 0, 1, 1, 1, 0, -1, -1, 4, -1, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -2, 1, 0, -2, -1, 1, 1, -1, 1, -1, 4, -1, -1, -1, 2, 1, -2, -1, -1, 2, -1, 1, 0, -1, -1, 1, 0, 0, -2, -1, 2, -1, -1, 4, 1, -1, -1, 0, 1, 0, 1, -1, 0, -2, 2, 2, -1, 2, 0, -1, -1, 1, -2, 0, -1, 1, 6, 0, -2, -2, 2, -1, 1, -1, -1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, -1, -1, 0, 6, -3, -1, 0, -1, -1, 0, 0, 2, -2, -2, 1, -2, 1, 1, -1, -1, 1, 0, 2, -1, -2, -3, 6, 1, -2, -1, 1, 2, 1, 0, -2, -1, -1, -1, 0, 1, 0, -1, 2, 0, 1, 0, -2, -1, 1, 4, 0, 0, -1, 1, 1, 0, 2, 0, -1, 1, 0, -1, -1, 2, 0, 0, -2, 1, 2, 0, -2, 0, 4, 1, 1, -2, 2, 0, 0, -1, -1, 0, -1, 0, 0, 1, -1, 1, -1, 0, -1, -1, -1, 0, 1, 4, 0, -1, 1, -1, 1, -1, 1, 0, 0, -2, -2, 0, 1, 0, -1, 1, 1, -1, 1, -1, 1, 0, 4, -1, 1, -1, -2, 1, 0, -2, -1, 1, 1, -1, 1, -1, 2, -1, -1, 0, 2, 1, -2, -1, -1, 4, 0, 1, 1, -2, 0, 0, 1, 0, -2, 1, 2, 0, -1, 0, -1, 0, 1, 1, 2, 1, 1, 0, 6, -1, 0, 2, 0, 0, 0, 1, 2, 1, -1, 0, 1, -2, 1, 2, 0, 0, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, 0, 0, -1, 1, 2, -1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 1, 2, 4, -2, 1, -1, -1, 1, 1, 1, 1, 2, 0, 0, -1, -1, 1, -1, -1, -1, 1, 0, 1, -2, -2, 4, 1, 2, 1, 0, 0, 1, -1, -2, 0, -1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 4, 2, 1, 0, 0, 2, 1, -1, -1, 1, -2, -1, -1, 1, -2, 1, 0, 0, 2, -1, -1, 2, 2, 4, 2, 0, 0, 2, 1, -1, 0, 1, -2, -1, -2, 0, -2, 2, 0, 0, 0, 1, -1, 1, 1, 2, 4, -1, -1, 0, 1, -1, -1, 1, -1, -1, -1, 1, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, -1, 4, 2, -1, -1, 2, 2, 0, -1, 0, 0, 0, -1, -1, 2, 0, 0, 0, 1, 0, 0, 0, -1, 2, 4, 1, 0, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 1, 1, -1, 1, 1, 2, 2, 0, -1, 1, 6, 1, 0, -1, 1, -1, -2, 0, -2, -2, 2, 0, 2, 1, 1, 1, -1, 1, 1, 1, -1, 0, 1, 4, -1, -1, 1, 0, -1, -1, 1, 0, 1, -1, -1, 1, 2, 2, -2, -1, -1, -1, 2, 1, 0, -1, 6, 0, 1, 0, -1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, -1, 2, 0, -1, -1, 0, 4, 0, -1, 0, 0, 0, 0, -1, 1, -1, -2, 1, 0, -1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 4, -1, -1, -1, 1, -1, 2, 0, 0, 1, 0, -1, -1, -2, -2, -1, -1, 0, -1, 0, 0, -1, -1, 4, 0, 1, 0, 2, -1, -1, 1, 0, -1, -1, 1, -1, -1, -1, 0, -1, -2, -1, -1, 0, -1, 0, 4, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1, -1, -2, -1, 0, -1, 0, -1, 1, 0, -1, 1, 0, 4, 0, 1, -2, 1, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1, -2, 1, -1, 0, 1, 0, 0, 0, 4, 1, 0, -1, -1, 1, 0, -1, -1, -2, -2, 0, -1, -1, -2, 0, 0, 0, -1, 2, 0, 1, 1, 4, -1, -1, 0, -1, 0, -1, 1, 1, 2, 1, -1, 0, 2, 1, 0, -1, 2, -1, 0, -2, 0, -1, 4, -1, 0, 1, 0, 1, 0, 0, 0, -1, 2, 0, 0, -1, 1, 1, 0, -1, 1, 1, -1, -1, -1, 4, 1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 2, -1, 1, -1, 0, 1, -1, 1, -1, 0, 0, 1, 4, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, -2, 1, 0, 0, 0, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 2, 0, 0, 1, -2, 0, 0, 0, 0, 1, 2, 0, -1, -1, 2, -2, 0, 2, 2, -1, 0, 4, -2, 1, 2, 2, 1, -2, 1, 0, -2, 1, 0, 1, -2, 0, 2, 0, 1, 0, 0, 0, 2, -2, 6, 0, -1, 1, -2, 1, -2, 1, 1, -2, 1, -2, -1, 1, -2, 0, 0, 0, 2, -2, 0, 1, 0, 4, 0, -1, 0, -1, 1, 0, -1, 1, 1, 1, 1, -1, 2, -1, 1, 1, 1, 0, 0, 2, -1, 0, 4, 2, 0, 0, -1, 1, 0, 1, -1, -1, -1, -1, 0, 0, 0, 0, 1, -1, 1, 2, 1, -1, 2, 6, 1, 1, -1, 2, 1, 0, -1, -1, -2, 0, 0, 1, -1, -1, 2, -2, -2, 1, -2, 0, 0, 1, 4, 0, 1, 0, 0, 0, -1, 1, 0, 0, -1, 2, 0, -2, 0, 1, 0, -2, 1, -1, 0, 1, 0, 4, -2, 0, 2, 0, -1, -1, 2, 0, -2, 0, -2, 0, 0, -1, 0, 1, -2, 1, -1, -1, 1, -2, 4, 0, -1, 1, 0, 2, -1, 0, 2, 0, 0, 0, -1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 4, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 2, -2, 0, -2, 1, -1, 0, 1, 0, 2, -1, 0, 4, 0, -1, -2, 0, 0, -2, 0, -2, 0, 1, -1, 1, 1, -2, 1, 1, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, -1, 2, -2, -1, 1, 1, 0, 2, 0, 1, 1, -1, -1, -1, -1, 0, -1, -1, 0, 4, 0, 1, -1, 2, -2, 2, 2, 1, 1, 0, 1, -2, 1, -1, -1, 1, -1, 2, 0, -2, 1, 0, 4, 0, 0, 2, 0, 0, 0, 0, 1, -1, -2, -1, 1, -1, -2, 0, 2, -1, 0, 0, 0, 1, 0, 6, -2, 0, -1, 1, 1, -1, 1, -1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 4, -1, 1, -1, -1, -1, 0, 2, 2, -2, 2, 0, 0, -1, -2, 2, 0, -2, 2, 2, 2, 0, -1, 6, -2, 1, 2, 1, 1, -2, 0, 0, -1, 0, 1, 2, 0, 0, 1, 0, -2, -2, 0, -1, 1, -2, 4, 0, -2, 0, 0, 0, 1, 0, 1, 0, -1, 0, -2, 0, 0, -2, -1, 2, 0, 1, -1, 1, 0, 4, 0, 0, 1, 2, 0, 0, 1, 0, -1, -2, 0, 0, -1, 0, 1, 2, 0, 1, -1, 2, -2, 0, 4, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, -1, 2, 1, 1, 1, 0, -1, -1, 1, 0, 0, 1, 6, -2, -1, 0, -2, 0, -1, -2, 1, -1, 1, -2, -1, 0, 1, 1, 1, 0, 1, 0, 1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, 1, -2, 0, 2, -1, 0, -1, -2, 2, -2, -1, 1, 1, 0, -2, 0, 2, -2, 4, 2, 1, 1, -1, 2, 0, -1, 1, -1, -1, 2, 0, 0, 1, -1, -1, 1, 2, 1, -2, -2, 2, 4, 1, 2, 0, 2, 1, -2, 1, 1, -1, 2, -1, 1, 0, 0, -2, 0, 2, 0, -1, 0, 1, 1, 4, 2, -1, 1, 2, 1, 2, -1, 0, 2, -1, -2, 0, 0, -1, -1, 1, 0, 1, -1, 1, 2, 2, 4, 0, 1, 2, -1, 2, -1, 1, 1, -2, -1, 0, 0, -1, 0, 1, 0, 1, 1, -1, 0, -1, 0, 4, 0, -1, 0, 0, 1, -1, -2, 2, 1, 1, -1, 1, 0, 0, 1, 2, -2, 2, 2, 1, 1, 0, 4, 1, 0, 2, 1, -1, 2, -1, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 1, 2, 2, -1, 1, 4, 1, 2, 0, 0, 2, -2, -2, 0, 1, -2, -1, 0, -1, 1, 2, -1, -2, 1, -1, 0, 0, 1, 4, 0, 0, -1, 0, 1, -2, 0, 0, 0, 0, -1, 0, 2, -1, 1, 1, 2, 2, 0, 2, 2, 0, 4, -1, 1, 1, -2, -1, 0, 0, -1, 0, 1, 0, 0, 0, -1, 1, -1, -1, 1, 1, 0, 0, -1, 4, -1, 0, 1, 2, 0, 0, -1, 0, 0, -1, 0, -1, -1, -1, 0, 1, -1, -1, 0, -1, 1, -1, 6, -2, -3, -1, -1, 0, 2, -1, -1, -2, 0, -2, 2, 2, 2, 1, -2, 2, 2, 0, 1, 0, -2, 6, -2, 1, 1, -1, -2, -1, 1, 1, -1, 2, 0, -1, -1, -2, 2, -1, -2, 1, -2, 1, -3, -2, 6, 0, 1, 0, 1, 2, 0, 2, 1, -2, 0, 1, -2, -1, 1, 1, -2, -2, -1, 2, -1, 1, 0, 6, 0, -2, 0, 0, 0, 1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, 0, 4, -1, 0, 0, 1, 1, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, -2, -1, 4, -1, 0, 0, -1, 1, 1, -1, -2, -1, -1, 1, -2, -2, 0, -1, -1, 2, -2, 1, 0, 0, -1, 4, 0, -1, 1, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 2, 0, 0, 0, 0, 4, 0, 1, -1, -2, 2, 2, 1, 1, 0, 2, 0, -1, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 4, 1, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, -2, 1, 2, 1, 1, -1, 1, 1, 1, 4, 0, 2, -2, -1, 1, 1, 2, 0, 1, 2, 0, 0, 0, -1, 1, -1, 0, 1, 1, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, 1, 0, 0, 1, -1, 1, -1, -1, 0, 1, 0, 0, -1, 2, 0, -1, 2, 0, 2, 4, 1, -2, -1, -1, 0, -1, 1, 0, 0, 1, 1, 0, 0, -1, -1, 2, -1, 0, 1, -1, 2, 1, 6, 1, 2, 0, 2, -1, 0, 2, -2, 0, -2, 0, -2, -1, 0, 1, 2, 0, 1, 2, -1, -2, 1, 6, 3, 2, 2, 1, -2, -1, -2, -1, 0, 1, -1, -1, -1, -2, 1, 2, -2, 2, 1, -1, 2, 3, 6, 1, 1, 2, -1, 1, -1, -2, 0, 2, -2, -2, 1, -1, 2, 1, -1, 1, 0, -1, 0, 2, 1, 4, 2, 1, -2, -1, 0, -1, 0, -1, -1, 0, 1, 0, 1, -1, 1, 0, 0, 0, 2, 2, 1, 2, 4, -1, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 1, 2, 1, -1, 4, -2, -1, 0, -2, 1, 1, 1, 0, 0, -1, 1, 0, 1, 0, -1, 1, 0, -2, -1, -2, -1, -2, 4, 1, 0, 2, -1, -1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 2, -1, 1, -1, 0, -1, 1, 4, 0, 1, -1, 0, 0, 0, 1, 1, 1, -1, 1, 0, -1, 0, -2, -2, -1, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 1, 1, -1, -1, 0, 1, -2, -1, 1, 0, -1, -2, -1, 0, -2, 2, 1, 0, 4, -1, -2, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, 0, 0, 1, -1, -1, 1, -1, 4, 1, 1, -1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 1, 2, -1, 0, 1, -1, 0, 0, -2, 1, 4, -1, 0, -1, -1, -1, 1, 0, 0, 0, 0, -2, -1, -2, -1, -2, 1, 0, 0, 0, 1, 1, -1, 4, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -2, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 4, 0, 0, -1, -1, 1, 0, -1, -1, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 4, 0, 1, -1, 1, 0, 2, 2, 1, -2, -1, 0, 0, -1, 1, 1, -1, 1, 0, -1, 0, 0, 0, 4, 0, -1, 2, 0, 0, -1, 2, 1, 2, 1, 1, 1, 0, 1, -1, 0, -1, -1, 0, -1, 1, 0, 4, -1, 0, 1, -1, 0, 0, 2, 1, -1, 0, 0, 0, -1, 0, 0, 1, 1, 0, -1, -1, -1, -1, 4, -1, 1, 2, 1, 1, -2, -1, 1, 0, 1, -1, 1, 1, -1, 1, 0, 0, 1, 1, 2, 0, -1, 6, -1, 0, -1, 2, 2, 1, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 2, -2, -1, 0, 0, -2, -1, 0, -1, 1, 2, 2, 2, -1, 1, -2, 0, 1, -1, 4, -2, 0, -1, 1, 2, -1, 1, 1, -1, 1, 2, -1, -2, 0, -1, 2, -1, 1, 1, 1, 2, -2, 4, -1, 1, -1, -2, 1, 0, -1, 0, 0, -2, 1, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, -1, 4, -1, 1, 2, 0, 0, 1, 1, -1, -1, -1, 2, 0, 0, 0, -1, 1, 0, 0, 2, -1, 1, -1, 4, -2, -1, -1, -1, -2, 0, 0, 1, 1, 2, 2, 1, -1, 1, -2, -1, 1, -2, 1, -1, 1, -2, 4, 2, 1, 0, 2, 0, 0, -1, 0, -2, -2, -2, 2, -2, 2, 0, 0, -1, 2, -2, 2, -1, 2, 4, -1, 0, 1, 0, 0, 1, 0, -1, -1, -1, 1, -1, 1, 0, 0, 0, -1, 1, 0, -1, 1, -1, 4, -1, 0, 0, 1, -2, 1, 0, -1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 4, 0, -1, -1, -1, 0, -2, 0, 0, 1, 0, 0, 1, 0, -2, 1, -1, 1, -2, 2, 1, 0, 0, 4, 0, -1, -1, -2, -1, -1, -2, 1, -2, 2, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 4, -1, 1, 0, 2, -1, 0, 0, -1, 0, 1, -2, 0, 1, 0, -1, 0, 0, 0, 1, -1, -1, -1, 4, 0, 1, -1, 0, 0, 0, 0, 1, 0, 1, -1, 2, -2, -1, 1, -1, 1, -2, -1, -1, 1, 0, 6, -1, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, 1, -1, 1, 0, 0, 1, 0, -2, 0, 1, -1, 4, -1, 0, 1, 0, 0, -1, 0, 0, 2, -2, 1, 2, 2, -2, -1, 0, -2, -1, 2, -1, 0, -1, 6, 1, 1, -2, 1, -1, -1, 0, 2, 0, 0, 0, 2, -2, -1, -1, 0, -1, -1, 0, 0, 0, 1, 4, 2, -1, 0, -1, 0, 2, 2, -1, 0, 0, 1, -2, -1, 1, 0, -2, 0, 0, 0, 1, 1, 2, 4, -1, 1, -2, 0, 1, -1, 2, 0, 0, -1, 2, 1, 1, 1, 1, 0, 0, 0, 0, -2, -1, -1, 4, -1, 1, 1, 0, 1, -1, 1, -1, 1, -2, -1, 0, 0, -2, -1, 0, 1, 0, 1, 0, 1, -1, 4, -2, -1, 0, -2, 1, -1, 1, -2, 2, 1, 0, 0, 2, 0, 1, -1, -1, -1, -1, -2, 1, -2, 4, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, 1, 0, -1, 0, 0, 1, -1, 1, 4, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 2, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, -1, 1, -1, -2, 2, 2, 2, 1, 2, 1, 1, -1, 1, 0, 1, 1, 4, -1, -2, 2, 1, 2, 0, 2, 0, -2, -1, 1, 1, 0, -1, -1, 2, 0, 2, 1, -1, -1, -1, 4, 0, 0, 0, 0, -1, 0, -1, 2, -2, 0, 0, 1, 1, 0, 0, -1, 0, 1, 0, -1, -2, 0, 4, -2, -1, -2, -1, -2, 0, 1, 1, -1, -1, 0, 1, 1, 0, 0, -2, -1, -1, 1, 2, 0, -2, 4, 2, 2, -1, 2, 1, -2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, -1, 2, 4, 1, -2, 1, -1, -1, 0, 2, 1, 0, 2, 0, 0, -1, 1, 0, 0, 1, 2, 0, -2, 2, 1, 4, -1, 2, 0, -2, 0, 2, 2, 0, -1, 0, 0, 1, 2, 0, 0, -1, 0, -1, -1, -1, -2, -1, 4, 0, 0, 1, 0, -2, -1, -1, -2, -1, 0, 1, 0, 1, 1, 1, 2, 0, -2, 2, 1, 2, 0, 4, -1, -1, -1, 1, 2, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 1, -1, 0, 0, -1, 4, -1, 1, 0, 0, -1, 0, 1, -1, 2, 0, -1, -1, -2, -2, 2, 1, -2, -1, -2, 1, -1, -1, 6, -3, -1, -1, -1, 1, -2, 0, -1, -1, 0, 1, 2, -1, -2, 1, 0, 0, 0, 0, -1, 1, -3, 6, 0, 1, 1, 1, 2, 0, 1, -1, 0, 1, 2, 1, 0, -1, 1, 2, 2, -2, 1, 0, -1, 0, 4, 1, 0, 1, 0, 0, -1, 1, 0, 0, 2, 1, 0, -1, 2, 1, 2, -1, 2, 0, -1, 1, 1, 4, 1, 2, 1, 0, 1, 1, -1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, 1, 4, 0, 0, 1, -1, -1, 1, 1, 2, -1, 1, 1, 1, 2, -1, -2, 0, 0, 1, 1, 1, 2, 0, 6, 2, 0, -1, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, -1, -1, 1, -2, 2, 0, 1, 0, 2, 4, -1, 1, 0, -1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 4, -1, 1, 2, 0, -1, 0, -1, 0, 1, -1, 1, 1, 0, 2, -1, 1, -1, 1, -1, -1, 1, -1, 4, 0, -1, 0, 1, 2, 0, -2, 2, 1, 2, 0, 1, 0, -1, -1, 1, 1, -1, 0, 0, 1, 0, 4, 1, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 1, -1, -1, 2, -1, 1, 4, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, 0, -1, -2, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 0, -2, 0, 4, 0, 0, -1, 2, 2, 1, 2, -1, 1, 1, 1, 2, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 2, -2, 1, 0, 0, -1, 0, -1, 1, -1, 0, 2, -1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 4, -1, 0, 1, 0, -2, 0, -2, 0, -2, 0, 1, 0, 1, 2, -1, 2, -1, 0, 1, -1, -2, -1, 4, -2, 0, -2, 1, 1, 1, -1, 0, -1, -2, 0, -1, -1, -1, 0, -1, -1, 0, 2, 1, 0, -2, 4, 1, 1, 0, -1, 1, 1, 1, 2, 1, -1, 0, 1, 1, -1, 0, 0, -1, 2, 0, 1, 0, 1, 4, 1, 0, 0, 0, 0, -1, 2, 1, -1, 1, 0, 0, 1, 0, 0, -2, 1, 0, 0, -2, 1, 1, 4, 0, 0, -1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, -1, -2, 1, 0, 0, 0, 6, -1, 1, 0, 1, 0, -1, 0, -1, -2, 1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 0, 0, -1, 4, -1, -2, -1, 0, 1, 1, 0, -1, -1, 1, -1, 0, 1, 1, -1, -2, 1, 1, 0, -1, 1, -1, 4, 0, 2, 1, -1, 0, -1, -1, 1, -1, 0, -1, -1, 1, 1, 0, -1, 1, 0, 0, 0, -2, 0, 4, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 1, 1, -1, -2, 0, 1, -1, 0, 1, -1, 2, 0, 4, 0, -1, -1, 0, 0, 0, -2, 1, -1, -1, 2, 0, 0, -1, 2, 2, 2, 0, 0, 1, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 2, 1, -2, 1, 1, 2, -1, 1, -1, 0, -1, 1, 4, -1, 1, 0, 1, 1, -1, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 1, 0, -1, -1, 0, -1, 4, -1, -1, -1, 1, 0, 1, -1, 1, 2, 1, -1, 0, 1, 0, -1, 0, -1, 1, 0, 0, 1, -1, 4, 1, 0, 0, 1, 0, -1, 0, 1, 2, -1, 1, 0, 0, -2, -1, -1, 0, 0, 0, 0, -1, 1, 4, 0, 0, 0, 0, -1, 0, 1, -1, -1, 1, 0, 0, 1, -1, 1, 0, 0, 0, 1, -1, 0, 0, 4, -1, 0, 1, 1, 0, 1, 2, 0, -1, 1, 0, 0, 1, -1, -1, -2, 0, 1, 1, 0, 0, -1, 4, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 0, 4, -1, -2, 0, 0, 0, -1, 0, 0, 2, 1, 0, -1, 0, -1, 1, 1, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 1, -1, 0, 1, 1, -1, 1, -2, 0, 0, 0, -1, 2, 2, 0, -1, 1, 0, -2, 4, 2, 1, -1, 1, 0, -1, 0, 1, 0, 2, 1, 0, -1, 0, -1, -2, -1, 2, 0, 1, -2, 2, 4, 2, 0, 2, 1, -1, 0, 1, 1, 2, 1, -1, 0, 1, -2, -2, -1, 2, 1, 1, -2, 1, 2, 4, 1, 1, 1, -1, 0, 1, 1, 1, 0, -1, -1, 1, -2, -2, 0, 0, 1, 0, 1, -1, 0, 1, 4, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 2, 0, -1, 1, 2, 1, 0, 4, 2, 1, 0, 2, -1, 1, 2, 1, 0, 2, -1, -1, -2, 1, -1, 2, 0, 0, 1, 1, 0, 2, 4, 0, 1, 2, 0, 0, 1, 1, 1, 2, -1, -1, -1, 1, 1, 2, 1, -1, -1, -1, 0, 1, 0, 4, 1, 1, -2, -1, 1, 1, 0, 0, 2, 1, 0, 0, -2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 4, 0, -1, -1, 1, -1, -1, 0, 1, 0, 0, 2, 1, 1, -1, 1, 1, 1, 0, 2, 2, 1, 0, 4, -1, 1, 2, 1, 0, 2, -1, -2, 0, 0, 0, 2, 1, 0, 1, 1, 0, -1, 0, -2, -1, -1, 6, 1, -2, -2, 1, -1, -1, -1, 1, -2, 1, -1, -2, 2, 2, 1, 0, 1, 0, -1, -1, 1, 1, 4, 1, -1, 0, 1, -2, -2, -1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, -2, 1, 4, 1, -1, 1, 0, -1, -2, 2, 0, 2, 0, 0, -1, -1, -1, 1, 1, 1, -1, 1, -2, -1, 1, 4, 1, 0, 1, 1, -1, 1, -2, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, -1, 1, 4, 0, -1, 0, 1, 0, -1, 0, -1, 0, 1, 1, 1, 2, 2, 0, 0, 2, -1, 1, 1, 0, 0, 4, -1, -1, -1, 0, 1, 2, 2, -1, -2, -2, -1, -1, -1, 2, 1, -1, -1, -2, 0, 1, -1, -1, 4, 2, 0, 0, -1, 0, 2, -2, -2, -2, 0, -1, -1, 1, 0, -2, -1, -2, -1, 1, 0, -1, 2, 4, 0, 0, 0, -1, 0, -1, -1, 0, 0, -2, -1, 0, 0, 0, 1, -1, -2, -1, 1, -1, 0, 0, 4, -2, 0, -1, -1, 2, 2, 0, 0, 1, 1, 0, 2, 0, -2, 0, 2, 1, 0, 0, 0, 0, -2, 6, 1, 1, 1, 0, 1, 1, 2, -1, 1, -2, 1, 0, 1, 0, 0, -2, -1, 1, -1, 0, 0, 1, 6, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, -1, 1, 2, 0, 0, 2, 0, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, -2, 2, 1, 1, 0, -2, 1, -1, -1, 0, 1, -1, -2, 1, 1, -1, -1, -2, 4, 2, 1, -2, 2, 0, -1, -1, -1, 2, 0, 1, 0, 1, 0, -1, 0, -1, -1, 1, 0, -2, 2, 4, -1, -2, 1, -2, 0, -1, 0, 2, -1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, 4, -1, -1, 1, 0, 1, 0, 0, 2, 1, -2, 0, 0, -1, -2, -1, 1, 0, -1, 1, -2, -2, -1, 4, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, -1, 1, -2, 2, 1, -1, 0, 4, 0, -1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 2, -1, 0, 1, 1, 2, 0, -2, 1, 1, 0, 4, 0, 1, -1, -1, 0, -1, -1, 1, 1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 4, 0, -1, 0, 1, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, 1, -1, -1, 1, 1, 0, 1, 0, 4, 1, -1, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, -1, -1, 1, 4, 0, -1, 1, 1, -2, -2, 2, 0, -1, 1, 1, -1, -2, 2, 2, 0, -1, 1, -1, 0, -1, 0, 4, 0, 1, 1, 1, 0, 1, 0, -1, -1, 1, 1, 1, 0, -1, 2, 0, 0, 0, 1, 1, -1, 0, 4, 0, -1, 0, 1, -1, -1, 1, 1, -1, 0, -1, 1, 0, 1, 0, 0, -1, -1, 0, 1, 1, 0, 4, -1, -1, -1, 0, 1, -1, 0, 0, -1, -1, 0, 1, -2, 0, 0, -1, -1, -1, 1, 1, -1, -1, 4, -1, 0, 1, 0, 1, -1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, -2, 1, 0, -1, -1, 4, 0, -1, 0, 0, -1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, -1, -2, 0, 1, -1, 0, 0, 4, -1, -1, 1, 0, -1, 0, -1, -1, 0, -1, 1, 0, -1, -1, 0, 2, 1, -1, 0, 1, -1, -1, 4, 1, -1, 0, 1, 0, -2, 0, 0, -2, 1, 2, -1, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1, 4, 0, 0, 1, 1, 1, -1, -1, -1, 1, -1, 0, 1, 0, -1, -1, 1, -1, 1, 0, 1, -1, 0, 4, -1, -1, 1, 1, -1, -1, 1, 1, 0, 1, 0, 1, 1, -1, 1, 0, -1, -1, 0, 0, 0, -1, 4, 0, -1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 1, -1, 1, 1, -1, 0, 4, 0, -1, 0, 0, -1, 1, 1, 0, 0, 1, -1, 1, 0, -1, 1, 2, 0, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 1, 1, 2, -1, 1, -2, -2, 1, 1, 2, 1, -1, 2, -1, 1, -1, 1, 1, 4, 0, -2, 1, 0, 0, 0, 0, 1, -2, 0, -1, 0, 2, 2, -1, 0, 0, 2, -2, 2, -1, 0, 4, -1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, -2, -2, 2, -2, 0, 1, -1, 0, -1, -2, -1, 4, -2, -1, 0, 0, 0, -1, 2, 0, 1, 0, 0, -1, 0, 0, -1, -2, 1, 0, -1, 1, 2, -2, 6, -1, -1, -2, 2, -1, 0, 1, 1, 0, 0, 1, -1, -2, 2, 2, 1, -2, 1, 0, 0, -1, -1, 4, -1, 1, 1, 1, -2, -1, 0, -1, 1, 1, 1, 1, 0, 0, -1, -1, 1, 0, 0, 0, -1, -1, 4, 2, -2, -1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, -2, 1, 2, 4, -1, 1, -1, -1, 0, 1, 0, 0, 0, 2, 0, 0, -1, 0, -1, 0, 2, 0, 2, 1, -2, -1, 4, 0, 0, 1, 0, -1, 0, -1, 1, -2, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, -1, 1, 0, 4, -1, -1, -1, 0, -1, -1, 1, 0, -1, 1, -2, 2, -2, -2, 2, 2, 0, -2, 1, -1, 0, -1, 6, 2, 0, 1, -3, -2, 1, -2, 0, 0, 1, -1, -2, 0, 2, 0, 1, -1, 1, -1, 1, -1, 2, 4, 0, 0, -1, -1, 1, -2, 0, 0, 1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 4, 0, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 2, 1, -1, 0, 1, 0, 0, 4, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, -2, 0, 0, 1, 0, 0, 0, -1, -3, -1, 1, 0, 6, 2, -2, 2, 0, 0, 0, 1, 1, 2, -2, -1, 1, 1, 0, 0, -1, -1, -2, -1, 0, 1, 2, 6, -1, 1, 1, 1, -1, -1, -1, -1, 2, 0, -1, 1, 0, 0, 1, 1, 1, 1, -1, 0, -2, -1, 4, -1, -1, -1, -1, 1, 2, 0, -2, 0, -2, 1, 1, 2, -2, 0, -2, -2, 0, 0, 2, 1, -1, 4, 0, 0, 0, 0, -1, 0, 0, -1, 2, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, 4, 0, 1, -2, 1, 2, 1, -2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4, 0, 0, -1, -2, -1, 1, 1, -1, 1, -1, 0, -2, 1, 1, 1, 0, 0, -1, -1, 0, 1, 0, 6, -2, 1, 2, 0, 0, -2, -1, 0, 0, 0, 2, -1, 0, -1, 0, 1, -1, 1, 0, -2, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -2, 2, 2, 0, 1, 2, 0, -1, 1, 1, 0, 1, -1, 1, 1, -1, 2, 1, 4, 0, -2, 2, -2, 0, 0, 1, 0, 2, 1, -1, -1, -1, 0, 1, -2, 1, -1, 1, 1, -1, 0, 4, -1, -1, 1, -2, 0, -1, 0, -2, 1, -1, 0, 1, 1, -2, -1, 0, -1, 0, 0, -1, -2, -1, 4, -2, 2, 1, 0, 0, 0, -2, -2, 1, 1, 1, 0, 0, 2, 0, 1, -1, 0, 1, 2, -1, -2, 4, -2, 0, -1, 0, -1, 2, 1, -1, -1, -1, -1, 2, -2, 1, 0, 1, 0, -2, -2, 1, 2, -2, 4, -1, -1, 0, -1, -2, -1, 0, 0, 0, 1, -2, 2, -1, 0, 0, -1, 2, 0, -2, 1, 0, -1, 4, 2, 0, 0, 2, 0, 0, 1, 1, -1, 1, 0, 0, 1, -1, 2, 2, 0, 0, 0, -1, -1, 2, 4, 0, 1, 0, 0, -1, 2, 2, 0, 0, 0, 0, 0, -2, 2, 0, 1, -1, 0, 0, 0, 0, 0, 4, -1, 0, 1, 0, -1, -1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, -1, -1, 0, 1, -1, 4, -1, -1, 1, 0, 1, -1, 0, 0, -1, -1, -1, 1, 2, 2, -2, -2, 2, -2, 2, 0, 0, -1, 6, 1, -1, 0, -2, 0, 1, -1, 1, 1, 0, 0, 0, 1, 1, -2, 1, -1, 0, 0, 1, -1, 1, 4, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, -1, -1, -1, 1, -1, 0, 0, -1, 0, 1, -1, 0, 4, 0, -1, -1, 1, 0, -2, 0, 0, 0, 1, -1, 0, 1, -1, 0, 1, 2, -1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 1, -2, 1, 1, -1, 1, 1, -1, 0, 1, 2, -1, 1, -2, -1, -1, 1, 4, -1, -1, 0, 0, 0, -1, 2, 0, 0, 1, 0, -1, 1, -1, 0, 1, -1, 0, 1, -1, 0, -1, 4, -1, 1, 1, 0, 0, -1, 1, 1, -2, 0, 2, -2, 1, 0, 0, 0, 1, 0, 1, 0, -1, -1, 4, -1, 0, 0, 0, 0, -1, -2, -1, 2, -2, 2, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1, -1, 4, 0, 1, 0, -1, 1, 1, 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, -2, 0, 0, 1, 0, 0, 4, 1, 0, 0, 1, -1, -1, 1, 0, 0, 1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 4, 0, 0, -1, 1, 0, -1, 1, 0, -1, -2, 1, -1, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 4, -1, 2, 1, 0, 0, 0, -1, 2, 2, 0, 1, 0, 0, 0, 1, 2, -1, 0, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 1, 1, -1, -2, -1, -1, 2, 1, 2, 1, -1, 2, 2, 1, 0, -2, 1, -2, 4, 2, -1, 1, -2, -1, 2, 2, 0, 1, -1, 0, 0, 0, -1, -1, -2, -1, 0, 2, 0, -2, 2, 4, 0, 2, -1, -1, 0, 2, -1, 1, -1, 0, -2, 0, 1, -2, -2, -1, 0, 0, 0, 1, -1, 0, 4, 0, 1, 2, -1, 1, -1, 1, -1, -1, 0, -1, 2, -1, 0, 1, 0, -1, 0, -1, 1, 2, 0, 4, -2, -2, 0, 1, 1, 2, 1, 0, -1, 0, -1, -1, -1, -2, 0, 0, 0, 1, -2, -1, 1, -2, 4, 2, -2, -1, -1, -1, 0, -1, 1, 0, 2, 0, 0, 1, 1, -2, 1, 1, -1, -1, 2, -2, 2, 4, 0, 0, -1, 0, -1, -1, 1, 0, 1, 0, 0, 2, 1, -1, 1, -1, 2, 0, -1, 0, -2, 0, 4, 1, 0, 1, 0, 0, 0, 0, -2, 0, -1, -1, -1, 2, -1, -2, 2, 2, 1, 1, -1, 0, 1, 4, -1, 2, -1, -1, -2, 0, 0, -2, -2, 0, -1, 2, 0, -1, 0, -1, -1, 1, -1, -1, 0, -1, 4, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 1, 1, 2, -1, 0, 1, 2, 0, 4, 1, 0, -1, -1, -1, -1, -1, -1, 0, 1, -1, 2, -1, -1, -1, 1, 0, -1, 0, -1, 0, 1, 6, 2, 2, 2, -3, 1, 1, -1, 0, -2, 1, 1, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 2, 4, 0, 0, -2, 2, 2, 0, -1, 0, 0, 2, 0, -2, 0, -1, 1, 1, 0, -2, 1, -1, 2, 0, 6, 1, 0, 1, 0, 1, 1, -1, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 2, 0, 1, 4, -1, 1, 0, 1, 1, -1, 2, -1, -1, 1, 2, -1, 2, 1, -2, 0, 0, -1, -3, -2, 0, -1, 6, -1, -1, 1, 1, -1, 0, 2, -1, -2, -1, -1, 0, 0, 0, -2, 1, -1, 1, 2, 1, 1, -1, 4, 2, 1, 0, 0, 1, 2, -2, -2, 0, -1, 0, 0, -1, -2, 0, -1, 1, 2, 0, 0, -1, 2, 4, 1, 0, 0, 0, 1, -1, -1, 1, -2, 1, 2, -1, 0, 0, -1, -1, 0, 1, 1, 1, 1, 1, 4, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 0, 0, -1, 1, 1, 1, 0, 0, 0, 4, -1, 1, -2, 2, 0, -1, 0, -2, -1, 2, 2, 0, 1, -2, 0, -1, -1, -1, 0, 0, 0, -1, 6, -2, 1, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 0, 1, 2, 0, 1, 0, 1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, 1, -2, 2, 1, 2, 2, -1, -1, 1, 1, 2, -1, -2, 1, -2, 1, -2, -2, -1, 4, 0, 0, -1, 1, -1, -2, -1, 0, -1, 2, -2, 1, -1, 2, 2, -2, -1, 0, 1, 1, 1, 0, 4, 0, 0, -2, 0, 1, 2, 0, -2, 1, 0, 2, 2, 0, 1, -1, -2, 0, -2, 0, 2, 0, 0, 4, 1, -1, 1, 0, 0, 2, 0, -1, 0, 1, 0, 1, -1, 0, 0, 2, -2, 0, 1, -1, 0, 1, 6, -2, -2, 2, 1, 0, 1, 0, -1, -1, 3, -1, 1, -1, -2, 0, -2, -1, -2, 1, -2, -1, -2, 6, -2, -1, -2, -2, 0, 1, 1, -1, -2, 1, 1, 0, 3, -2, 1, 1, 2, -1, 0, 1, -2, -2, 6, -1, 1, 1, 1, -3, 2, 1, -1, -1, -4, 2, 1, 1, -1, -1, 1, -2, 1, 0, 2, -1, -1, 4, 2, 0, 0, 0, 0, -1, 3, -2, 0, 0, -1, 0, -1, -1, 2, -1, 2, 0, 1, -2, 1, 2, 4, 0, 0, 0, 0, 1, 3, -1, 0, 0, -2, 0, -2, -2, 2, 0, 0, 2, 0, -2, 1, 0, 0, 4, 0, 0, -1, 0, 0, 0, -2, 0, -1, 2, 0, -1, -1, -1, -2, 0, 1, 0, 1, 0, 0, 0, 4, -1, 0, -1, -1, 0, -1, 0, 2, 0, 0, 0, -1, 2, 1, -1, 0, 1, -3, 0, 0, 0, -1, 4, -2, 0, 1, 1, 2, -2, -1, -1, 1, 1, 1, -2, 0, 0, -1, 1, 2, 0, 0, -1, 0, -2, 4, 0, 0, -1, -2, 2, 2, -1, -1, 0, 1, 1, 2, 1, -1, -1, 1, -1, 1, 0, -1, 0, 0, 4, 0, 1, 1, 0, -1, 0, -2, 0, 2, -1, 2, 0, 3, -2, -1, 3, 3, 0, -1, 1, 0, 0, 6, -1, 0, -1, -2, 0, -1, -1, -1, 2, 0, 1, -1, 1, -1, -2, -1, 0, 0, 1, -1, 1, -1, 4, 1, -2, 1, 1, 1, 2, -2, 2, 1, -1, 1, 1, -4, 0, 0, -2, -1, 2, -2, 1, 0, 1, 6, -2, -2, -1, 0, 1, 1, -2, -1, 0, -1, 0, 2, 0, 0, 0, 0, -2, 2, 0, -1, -2, -2, 4, 1, 0, 0, -1, -2, -1, -2, 0, -2, 3, 1, -1, -2, -1, 2, -1, 2, -1, -2, 1, -2, 1, 6, -1, 1, 2, 1, 0, 0, 2, 0, -2, 1, 0, 0, 2, 0, -1, -1, 0, 0, 1, -1, 0, -1, 4, 1, 0, -2, 1, -2, -2, -2, 1, -1, -1, -2, 0, 0, 1, -1, -2, -1, 1, 0, 0, 1, 1, 6, 1, -2, 1, 0, 0, -1, 1, -1, -1, -2, -1, 0, 1, 0, 0, -1, 2, 1, -1, 2, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 1, 1, 0, -1, 0, -1, 0, 1, 2, -1, -1, 0, -1, -1, 0, 1, -1, -2, 2, 4, -2, 1, 2, 2, 0, 1, 1, -2, 0, 1, 1, -1, 0, -1, -1, -1, 1, -1, -2, -2, -1, -2, 6, -3, -1, -2, 2, -1, -2, -1, -1, 1, 2, 1, 2, -1, -1, -1, -1, 0, -1, -1, 2, 1, -3, 6, -1, 1, -1, -1, 1, -1, 2, 1, -1, -2, -1, -1, 2, -1, -1, 0, -1, -1, 1, 2, -1, -1, 4, 2, 1, 0, 0, -1, -1, 1, 2, 1, -1, 0, 0, -1, 2, 0, -1, 0, 1, 2, -2, 1, 2, 4, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, 0, 0, 2, 0, -1, -1, 0, 0, 2, -1, 1, -1, 4, -2, 0, 0, -1, 0, 1, 1, 0, 0, 0, -2, 0, 0, 0, -1, -1, 1, -1, -1, 0, 1, -2, 4, 0, -1, 0, -1, 0, 0, 0, 0, -1, 2, 0, -1, -1, 1, 0, 1, -2, 1, 0, 0, 0, 0, 4, 1, -1, 0, -1, -1, 0, 0, 1, 0, 1, -1, 1, 1, -1, -2, -1, -1, -1, -1, 0, -1, 1, 6, -1, -2, -3, 1, -2, 2, 1, 2, 1, 2, 3, 1, 0, 0, -1, 2, -1, 1, -1, 0, -1, -1, 4, 0, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 0, -1, 0, -2, 0, 4, 2, 0, 1, -1, 0, -2, 1, 0, -2, -2, 2, 1, 2, -1, 2, 0, 1, 0, -1, -3, -2, 2, 6, 1, 1, -1, -1, -1, 0, 1, -1, 0, -1, -1, 1, -2, 1, -1, 1, 0, -1, 1, -2, 0, 1, 4, -1, 1, 0, 0, 0, 1, 1, 1, -1, 0, 2, -1, -1, -1, 0, 0, 0, -2, 0, 1, 1, -1, 4, -2, -1, -1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 2, 0, -1, -1, 1, -2, 4, 0, 1, 0, 1, 2, 1, -1, -1, -1, 2, 0, 0, 0, -1, 1, 1, 0, 0, -1, 0, -1, 0, 4, 0, 0, 0, 1, 2, -1, -1, -1, -1, -1, 0, -2, 2, 0, 2, 0, -2, -1, 0, -1, 1, 0, 4, 0, 1, 2, 2, 0, 1, -1, -1, 2, 2, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, 2, -1, 0, 1, 1, -1, 1, 0, 1, 0, 4, 2, 0, -1, -2, -1, -1, -1, -1, 0, -1, 1, 3, -1, -2, -1, 1, -1, 2, 1, 2, 0, 2, 6, 2, -2, -2, -1, -1, 0, -1, -1, 1, 1, 1, -1, -2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, -1, 1, -1, 1, 0, -2, 1, 1, 4, -1, 2, 0, -1, 1, 2, 1, 0, 1, -1, -1, 0, 2, -2, 2, -2, 0, 0, -1, 1, -2, -1, 4, -2, -1, -1, -2, -1, -2, -1, 0, -1, -1, -1, -2, 2, 0, 0, 1, 1, 2, -1, 1, 2, -2, 6, 0, -1, 0, 1, 2, 2, 0, -2, 0, 1, 3, -1, -1, 0, -1, 1, 0, 2, 1, 0, -1, 0, 4, 1, -1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, -2, -2, -1, 1, -1, -1, -1, 1, 6, -2, -2, -1, 1, -1, 2, 3, 2, -2, 0, -2, 2, -1, 0, 1, 1, 1, 1, -2, 0, -1, -2, 6, 1, 2, -2, 2, -1, 0, 0, 1, -2, 0, -1, 1, -1, -3, 0, 1, 2, -1, 1, 0, -2, 1, 4, 2, 0, 1, 0, -2, -1, 3, -2, 2, -2, 0, 0, -1, 0, 2, 1, -2, 2, 0, -1, 2, 2, 4, 0, 2, 0, -1, 1, 3, -1, 1, -1, 0, 0, -2, 0, 1, 0, -1, 2, 2, 1, -2, 0, 0, 4, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, -1, 2, 1, 2, 0, 4, 0, -1, 1, 1, 0, 1, -2, 2, 0, -2, 0, 1, -1, -1, -2, 1, 2, -1, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 3, 0, -2, -1, 0, -1, 0, 4, 1, -1, 0, -2, 2, 0, -1, 0, 1, 2, 0, -1, 1, 0, 2, 0, -1, 1, 0, 1, 0, 1, 4, 0, 0, 0, 1, 0, 0, -1, 1, 2, 2, -2, 3, 1, -2, 1, 3, 3, 1, 1, 0, -1, 0, 6, -1, 1, -2, 1, 0, -1, 1, -1, -2, 2, -1, 0, 0, -2, -2, -1, 0, 0, 0, 0, 0, -1, 4, -1, 0, 1, 1, 2, 0, 1, 2, 0, -1, 1, -2, 0, 2, 1, -1, 1, 0, -2, 0, 1, -1, 6, -2, 0, -1, -2, -1, -1, -2, 0, 0, 0, 2, -1, -2, -1, 0, -2, 0, 2, 1, -2, 0, -2, 4, -1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, -1, 4, -1, -1, 0, 0, 0, 1, 1, -2, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 0, -1, 4, 3, 1, -2, -1, 2, 0, -2, 1, -3, -1, -2, 0, -2, 0, 0, -1, -1, 2, -2, 1, -1, 3, 6, 1, 1, 1, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, -1, 1, -1, -2, 1, -1, 0, 2, 2, 2, -2, 2, 4, 0, -1, 1, 2, 0, 0, 1, 0, -1, -1, 1, -1, -1, -1, -1, -1, 1, 2, 0, -2, 0, 0, 4, 2, -2, -1, 0, -1, 1, -1, -1, -1, 0, 0, 2, 1, 1, 2, 0, 1, -1, 1, 0, -1, 2, 4, -2, -1, 1, 0, 0, -1, -1, -1, 1, 0, 2, 0, 1, 2, -1, -1, 1, 1, 1, 1, -2, -2, 4, 2, -1, 1, -1, 1, 0, 0, -1, 0, -3, 0, -1, -2, 1, 1, 0, -1, 2, 2, -1, -1, 2, 4, 1, 2, 1, 2, 0, 0, 1, 0, -3, 0, -2, -1, 2, 2, 0, -2, 2, 0, 0, 1, -1, 1, 4, 2, 1, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, -1, 2, 0, -1, 0, 1, 2, 2, 4, 1, 3, 1, 0, 0, 0, -2, 0, -2, -1, 1, 1, 2, -2, 1, 1, 1, 0, -1, 1, 1, 1, 4, 0, 1, 1, 0, 1, 1, 0, -2, 1, 1, 2, -1, -1, 2, 0, -1, -1, 1, 2, 2, 3, 0, 6, 0, 0, 1, -1, -3, 1, -2, -2, 2, 0, 2, -1, 0, -1, -1, -1, 0, 0, 1, 1, 1, 0, 4, 2, -1, 0, -1, 1, -1, 0, 1, 1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 2, 4, -1, 0, 0, 0, 0, 0, 1, -1, -2, 0, 1, 1, 0, 1, -1, 1, 1, 0, 0, 1, -1, -1, 4, 0, 0, 0, 0, 0, 1, -1, 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 4, 0, 0, 0, 0, -1, -1, -1, 1, -2, -1, 2, 2, -3, -3, -1, -2, 1, -3, -1, 0, 0, 0, 6, -1, 1, 2, -2, -1, 0, 2, 1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 4, 1, 1, 1, 1, 0, 1, -1, -1, 1, 1, -1, -2, -1, -2, -2, -2, -1, 0, 0, 0, 1, 1, 4, 1, -1, -2, 0, 2, 0, -1, 2, 2, -2, -1, 0, -1, 1, -2, 0, 0, 0, 0, 2, 1, 1, 4, 0, 1, 0, 1, 2, 1, 0, -1, 1, 2, 1, 1, 1, 2, 1, 1, 1, -1, -2, 1, -1, 0, 4, 1, 0, -1, 2, 2, 1, -1, 1, 2, 0, 1, 2, 0, 1, -1, -1, -1, -1, 1, -2, 1, 1, 6, 0, -2, 2, 0, -1, 1, 0, 0, 1, 2, -1, 2, -1, -2, 2, -1, 0, 0, 0, 0, 0, 0, 6, -1, -2, -2, 1, 1, -1, -2, -1, -2, -1, -1, -1, 0, 0, 1, 2, 1, 2, 1, -1, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 0, 2, 2, 0, 2, -2, 1, 1, 0, -1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 4, 1, 0, 1, -1, -1, -1, -1, 0, 2, 1, 1, -1, -2, -1, 0, -2, 1, -2, 1, -1, 1, 1, 4, 0, 2, 1, 1, -2, 0, -1, 0, 1, -1, -1, -1, -1, 1, 1, 0, -2, 1, 1, -1, 0, 0, 4, -1, -1, -1, 0, 1, 1, 0, -2, 1, 2, -1, 1, -1, -1, 1, 1, 1, 0, 0, 1, 2, -1, 4, 0, 1, 0, -2, -1, 0, 0, -1, -1, 0, -1, 1, 1, -1, -2, 0, 1, 2, -1, 1, -1, 0, 4, 2, 0, 2, -1, -1, 0, 0, -1, 1, 0, 1, 1, 0, 0, -1, 1, 2, -1, 1, -1, 1, 2, 4, 0, 0, -2, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, 4, 1, 1, 0, 0, 1, 0, 1, 2, -1, 0, 0, 1, -2, 1, 2, -1, 0, 1, -2, 2, 0, 1, 6, -1, -1, -1, 1, 1, 1, 1, 0, 0, 2, 1, -1, 0, -2, 0, -1, 1, -1, -1, -2, 1, -1, 4, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, 1, 2, 0, 0, 0, -1, -1, 0, -1, 0, 4, 2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 1, 1, 1, -2, 0, 0, 0, 0, -1, 1, 2, 6, 0, -1, -1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, -1, 0, 0, 1, 1, 0, 0, 0, 4, 0, -1, 1, 0, -2, 1, 0, 0, -1, -1, -1, -1, 2, -1, -1, -1, 0, 1, 0, 0, -1, 0, 4, 1, 0, 0, -1, 1, 2, 0, 0, -1, -2, -1, -1, 0, 1, 0, 1, 1, 0, -2, -1, -1, 1, 4, -1, 1, 1, 0, 1, -2, 1, 1, -1, -1, 1, -1, 0, 0, 2, 1, 1, 0, 0, 1, 0, -1, 4, -1, 0, 0, 1, 0, 1, -1, 0, 1, -1, 1, 1, 1, -1, 0, -1, -2, 0, 0, 0, 1, -1, 4, 1, 0, -1, 0, 0, 0, -2, 1, -1, 1, 1, 1, 0, 0, 0, -2, 0, -2, -1, 1, 0, 1, 4, -1, 0, 0, 1, 1, 1, 0, 1, -1, 0, 0, 0, 2, -1, 0, 0, 1, 1, 0, 0, 0, -1, 4, 0, 0, -1, 0, -2, -2, 1, -2, 0, 0, 1, 1, 0, 0, -1, 0, 2, 1, 1, -1, 0, 0, 4, 0, 0, 0, 1, 1, 1, 0, -1, 0, -2, -1, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 4, -1, 0, -1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, 0, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, 2, 1, -1, 0, 0, 1, 1, 0, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 4, 0, 2, 0, 1, 2, -1, -1, 1, 0, 1, 1, -1, 0, 0, 1, -1, -1, 0, 0, 1, -1, 0, 4, 0, 1, -2, 0, 1, 1, -1, -2, 1, -1, 0, 1, 1, -1, -2, -1, -2, -1, 0, 1, 2, 0, 4, -1, 1, 2, 0, -1, 0, 0, 0, -1, -1, 1, 1, 2, -1, -1, 0, -1, 0, 2, 0, 1, -1, 4, 0, 0, -1, 0, -1, 0, 2, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 2, 1, -2, 1, 0, 4, 1, 0, 0, 1, 1, 1, 1, 0, -1, 1, 0, 2, 0, 1, 0, -1, 1, 2, 0, 2, 0, 1, 4, 0, -1, 0, -1, 1, 1, 0, 0, 1, 1, -1, -2, -1, -1, 0, -1, -1, 1, 0, -1, 0, 0, 4, 0, 0, 0, 0, -1, 1, -1, 2, -1, 0, -1, 0, -1, -2, 0, -1, 1, -1, 0, 0, -1, 0, 4, -1, -1, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 1, -1, 0, -1, 1, 0, 0, -1, 4, 0, -1, 1, 0, -1, 0, 0, 1, 1, 0, 1, 0, 1, 0, -2, 0, 0, 1, -1, 0, -1, 0, 4, -1, 0, -1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, -1, -1, 4, 1, 0, -1, 0, 0, 0, -1, -1, -1, -1, 0, 1, -1, -1, 0, 1, 1, -1, 0, 1, 0, 1, 4, -1, 0, -1, 0, 0, 1, 0, 0, 1, 1, -1, 0, -1, 1, 0, 0, 1, 1, 0, -1, 0, -1, 4, -2, 1, 0, 1, -1, 0, 1, -1, -1, 0, 1, 1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -2, 4, -1, 0, -2, 1, 0, -1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, -1, 1, -1, 4, 0, 0, -2, 0, 0, -1, 1, 1, -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 1, -1, -2, -1, 0, 2, -1, 0, 1, 1, 1, 0, 0, 1, -2, 0, 0, 4, 1, 1, 1, -1, -1, -1, -1, -1, -1, 0, -2, -1, 1, 1, 0, -1, 1, -1, 1, -2, 0, 1, 4, 0, 0, 1, 1, 0, -2, 0, 0, 1, -1, 0, -1, 0, 2, -1, 0, 0, 0, 0, 0, 1, 0, 4, 2, 0, 1, 0, -1, -1, 1, 0, -1, -1, -1, 1, 1, -1, 0, 1, -1, 0, 0, 1, 0, 2, 4, 0, -1, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, -1, 1, -1, 2, -1, 1, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 0, 1, 0, 1, -1, -2, 1, -1, 0, 0, 1, -2, 2, 2, 0, 0, 1, 0, 1, 0, 6, -1, 1, -1, 1, 0, 3, -1, -2, 1, -1, 1, -1, 2, -3, 3, -2, 2, 1, 0, -2, -2, -1, 6, 2, -2, -2, -2, 1, 2, 0, -1, -1, 2, -2, 1, 1, -2, -2, 0, 1, 1, -1, 0, 1, 2, 4, -1, -2, 0, 1, -1, 1, -1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, -1, 1, -1, -2, -1, 4, 0, 2, -1, 0, 1, 0, 1, -2, 2, -2, 1, 0, 2, 0, 0, -1, 0, 0, 1, -2, -2, 0, 4, -1, 1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, -2, 0, 2, -1, 4, 0, 0, 1, 0, 1, -1, 2, 0, -1, 0, 1, 1, -1, 0, 0, -1, 3, 1, 1, -1, 1, 0, 4, 0, 0, 1, -1, 1, -1, 2, -2, 1, -1, 1, 1, 0, -2, -2, -1, 2, -1, 0, 0, 0, 0, 4, -1, 0, -1, 1, -1, 1, 0, -3, -1, -1, -1, 0, -1, 1, -2, 0, 1, 1, 0, 1, 0, -1, 4, 0, 1, -1, 1, -1, 1, 0, 2, 0, 0, 0, 1, -1, 1, -1, -1, 0, 2, 0, 1, 0, 0, 4, -1, 0, 0, 1, -2, -1, -1, -1, 0, 0, -1, 0, -1, -1, 0, 1, -1, 1, -1, -1, 1, -1, 4, -2, 2, 0, 0, 0, 3, 1, 0, 1, 1, 0, 1, 2, 0, -2, 0, -1, 1, 1, -1, 0, -2, 4, -2, 1, -1, 0, -2, 0, 1, 0, -1, 1, -1, -2, 0, 2, 0, 2, -1, -1, 1, 0, 2, -2, 4, -1, 1, 0, 2, 0, 0, 0, 1, -2, 2, 1, 1, -2, 0, 0, 2, 1, -1, 1, 0, 1, -1, 4, -3, -1, -1, 1, 0, 1, -2, 2, -3, 1, 0, 1, 0, -1, -2, 0, 1, -2, 0, -1, 1, -3, 6, -1, 0, -1, 1, 0, 2, 2, 3, -2, 1, 0, 0, 0, 1, -3, 0, -1, 0, 0, 0, -1, -1, 6, 0, 2, 1, 0, 0, 0, -2, -2, 0, 2, 0, 1, -1, -1, 2, -1, 3, -2, 2, -1, 0, 0, 6, 0, 0, -1, 1, 0, 2, 0, 1, 0, -1, 1, 1, -1, 0, -1, 1, 0, 0, 1, -1, 2, 0, 4, 0, 1, 0, 1, 1, 1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 4, 1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, 1, 4, 0, 1, -2, -1, -1, 0, 0, 0, -2, -1, 1, -1, 1, -1, 1, -2, 2, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 2, 2, -1, -1, 1, -2, 0, 0, 2, 2, -1, -2, 1, 2, 0, -2, 0, 0, -2, 4, -2, 2, -2, -1, 1, 0, -1, 2, 1, -1, -1, -1, 0, 1, -1, 0, -1, 2, 0, -1, 2, -2, 4, -2, 1, 0, -1, 1, 0, -2, -1, 1, 1, 1, 0, -2, 1, 1, 1, -2, 1, 0, -2, 2, -2, 4, -2, -1, 2, -1, -1, 2, 0, -1, -2, -2, -1, 1, -1, -2, 0, 2, 0, -1, 2, -2, 1, -2, 4, 2, -2, -1, 1, -1, 0, 1, 1, 1, 1, -2, 0, 1, -1, -1, 1, 0, 2, -1, 0, -1, 2, 4, -1, -2, 2, 0, 0, -1, 2, 1, 1, -2, 1, 2, -1, 0, -1, 1, -1, 1, -1, 2, -2, -1, 4, 0, -1, 1, 1, -1, -1, -2, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, -1, -1, -2, 0, 4, 0, -1, 0, 0, -1, 0, 1, 0, 1, -1, 1, -1, 1, 1, 1, -1, 0, -1, 1, 2, -1, 0, 4, -1, -1, 0, 1, 2, 1, 0, 2, 1, 1, -1, 0, 2, -2, 2, -2, 2, -1, 0, 1, -1, -1, 4, 0, 0, -1, -2, 0, 0, -1, 0, -1, 2, -1, -1, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0, 4, -2, -1, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 1, -1, -1, 0, 0, 0, -2, 4, 0, 0, -1, 1, -1, 0, 1, 0, 1, -1, 2, -1, 1, -2, 1, 2, -1, -1, 1, -1, -1, 0, 4, 2, 0, 0, 0, 2, -1, -1, -1, 1, 2, -1, 1, -2, 1, 1, -2, 0, 2, -2, 0, 0, 2, 4, 0, 0, 1, 1, 0, -2, 0, 1, -1, 0, 0, -1, 1, 1, -1, 1, 1, 0, 1, -1, 0, 0, 4, -1, 1, 0, 0, 0, 0, 1, -2, 1, -2, 1, -2, -2, 0, 0, 0, 0, -1, 1, 0, 0, -1, 6, -2, -1, 1, 1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 1, 2, -1, 0, -1, 0, 1, 1, -2, 4, 1, 1, -1, -1, 2, 2, 0, 1, -2, 1, 2, 0, -1, 1, 0, 1, 0, 2, 1, 0, -1, 1, 6, 0, 0, -1, 0, 0, -1, 1, 0, -1, -1, 0, 1, 1, -1, -1, 1, -1, 0, 0, 1, 1, 0, 4, -1, 0, 0, -2, 2, -2, 2, -1, 0, 1, -1, -1, 2, 0, 0, -1, -2, 0, 1, -1, 0, -1, 4, 0, -1, 0, 0, 1, 0, 1, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, 4, -1, 0, -1, 0, -1, 0, 1, 0, 1, 2, -1, 0, -1, 1, 1, 1, 0, 2, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 1, 0, -1, 2, 1, -1, -1, 2, -2, -1, 0, -1, -1, 1, 0, 2, 1, 4, 0, -1, 0, 1, 2, 1, -1, 2, 2, 1, 0, 1, 0, -1, 1, 0, -2, 0, -1, 1, -1, 0, 4, -1, -2, 0, -1, -1, -1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, -2, -1, 0, 1, -1, -1, 4, 0, 1, 1, -1, 0, -1, -1, -2, 0, 1, -2, -1, 1, 0, 1, 0, -1, 1, 1, 0, -2, 0, 4, 1, 1, 1, 0, -1, 0, 1, 0, 0, -1, -1, -1, -1, -1, 1, 0, 1, 2, 1, 0, 1, 1, 4, 0, 1, -1, 0, 1, 0, 1, 2, -1, -2, 1, 1, -1, -1, 0, 2, 1, 2, -1, 1, 1, 0, 4, 0, -1, 1, 0, 0, 0, 0, -1, -1, 1, -1, -1, 1, -1, 1, 0, 1, -1, -1, 1, 1, 0, 4, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, -1, 0, 2, 1, -1, -1, -1, 0, 0, -1, -1, 1, 4, -2, 0, 1, 1, 0, -1, 1, -2, -1, 1, 1, 0, -1, 2, 2, 1, -1, -1, 0, 1, 0, -2, 6, 2, 0, -2, 1, 0, 1, 2, 1, -2, -1, -1, 1, 1, 2, 0, -1, 0, 1, 0, 0, 0, 2, 4, 0, 0, 2, -1, 0, 0, 0, -2, 0, -2, 1, -1, 1, 0, -2, 1, 0, 0, 2, 1, 0, 0, 4, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 1, 0, 1, 1, -2, 0, 0, 6, 0, 0, 0, 0, 0, -1, -1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 4, -2, 0, 0, 0, -1, 0, -1, 2, -2, 0, 2, -2, -1, -1, -1, 0, -1, 0, -1, 1, 0, -2, 4, 0, 0, 1, 1, -1, 0, -1, -1, -1, 1, -1, -1, -2, -1, 0, 1, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 0, -2, 2, 0, -1, 0, 0, 0, 0, 4, 2, -1, -2, 0, 1, -1, 0, 2, 0, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, 0, 2, 4, 0, -2, 0, 0, -1, -2, 0, 1, -1, -1, -1, -1, 1, -2, -2, 0, -1, -1, 1, 0, -1, 0, 4, 0, 0, -1, 1, 0, -2, 0, 1, -1, 1, 0, 1, -1, 0, 0, -1, 0, -1, 0, -2, -2, 0, 4, 1, 0, 0, -1, -1, -1, 0, 0, -1, 2, 0, -1, -2, 0, 0, -1, 0, 0, 0, 0, 0, 1, 6, -1, 2, 1, 0, 1, 1, 2, 1, 1, -1, 1, 1, 0, 1, 2, -1, 0, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, -2, -2, -2, -1, -1, -1, -2, 0, 0, 2, 2, 4, 1, -1, -1, 0, 2, 2, -1, 2, -1, 1, -1, 0, 0, -1, -1, 0, 0, 1, 1, 0, 2, 1, 4, 0, 0, 0, 0, 0, -1, 1, 2, 0, -1, -2, 0, 0, 1, 0, 0, -1, -1, 1, 1, -1, 0, 4, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 4, 2, -1, -2, -1, -1, 0, -2, 0, 1, 0, -1, 1, -1, -2, 0, -2, 1, 1, 0, 0, 0, 2, 4, 1, 1, -1, 1, 0, 0, -1, -1, -1, -1, 0, 0, -2, -1, -2, 1, 2, 2, 0, 0, -1, 1, 4, 3, 0, 1, 0, 1, -2, -1, -2, 0, -2, -1, 0, 1, 0, 0, 2, 2, 0, 0, -2, 1, 3, 6, 1, 2, -1, 1, -1, -2, -1, 0, -3, 0, 1, -1, 2, 0, 0, -1, -1, 2, -1, -1, 0, 1, 4, -1, 1, -1, 1, 1, 0, 0, -1, -1, 0, 1, 0, -1, 2, 2, 1, 0, -1, 1, 1, 2, -1, 6, -2, 1, -2, -3, -1, 1, 0, 0, -1, 0, 2, 1, 1, -1, 2, 2, 0, 0, 0, -1, 1, -2, 6, -1, 1, -1, 0, -1, 1, 0, -1, 1, -3, 0, 0, 1, 0, 0, -2, 0, 1, 1, -1, 1, -1, 4, -1, 0, 0, 0, -1, 2, 1, 0, 1, 0, -2, -1, -1, 0, 0, -1, -2, -1, 1, -2, 1, -1, 4, 1, 2, 0, 1, 0, 1, 1, 0, -1, -2, 0, -2, 0, 1, -1, -1, -2, 1, -3, -1, 0, 1, 6, 1, -2, 0, 1, 0, 1, 0, -1, -2, 0, 0, 0, 0, -1, -2, -1, 0, -1, 0, 0, 2, 1, 4, 0, 0, 1, 2, 0, 0, -2, -1, -1, 0, -1, -1, -1, 0, 0, 0, 1, -1, 0, 0, -2, 0, 4, 1, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 0, -2, -3, -1, 0, 1, -1, 1, 0, 0, 1, 4, 0, -1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 2, 0, 1, 1, -1, 0, 4, 1, -1, 1, 0, -2, 0, 0, 0, -2, -2, 0, 1, 0, -1, -1, 1, 1, 0, 2, 1, -1, 1, 6, -1, 1, -2, 0, 1, -1, 1, 0, -1, 1, -1, 1, 0, 1, 0, 1, 1, 0, 0, 0, -1, -1, 6, 0, -1, 0, 1, -1, -1, -2, -2, 0, 2, 0, 2, -3, 1, 0, 0, 0, 1, -1, 1, 1, 0, 6, 0, 2, 0, 1, 0, 1, 1, 0, 0, -1, 1, 0, 0, -1, -1, -2, 0, 1, 0, -2, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 2, 2, -1, -1, -1, 1, -2, -2, 2, -2, 1, 1, 2, 1, 1, -2, 1, -1, -2, 4, -2, 2, -1, 0, -1, 2, 0, -1, 2, 2, -2, 2, -1, -2, -1, -1, -2, 2, -1, 0, 2, -2, 4, -2, 2, 1, 0, -2, -1, 1, -2, -1, 2, -2, 1, 1, 1, 1, 2, -2, 0, 1, -2, 2, -2, 4, -2, -1, -1, 0, 0, 0, 2, 2, -1, 1, 0, 0, -2, -1, -2, 2, 0, 1, 2, -1, 2, -2, 4, 2, -1, 0, -1, 1, -1, 0, 2, -2, 0, 0, 1, 0, 0, -1, 0, -1, 2, 0, 1, -1, 2, 4, -2, 0, -2, 0, 0, -1, 2, -2, 0, -1, 1, 1, -1, 0, 0, 0, -1, -1, 0, -1, -1, -2, 4, 0, 2, 0, -1, 0, 0, 0, 0, 1, 0, 1, 2, -1, 0, 1, -1, 2, -2, 0, 0, 0, 0, 4, 1, 0, 1, 0, -1, 1, -2, -1, 0, 0, -2, 1, -1, -2, -1, 0, -1, 0, -1, -2, 2, 1, 4, 1, 0, 1, 0, 2, 0, 0, 0, -1, 0, 0, 1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 1, 4, -1, -1, 1, -1, 1, 2, 0, 1, 1, -1, 0, 1, -2, 2, -2, 2, -1, 0, -1, 1, 0, -1, 4, 1, -2, 2, 0, -1, -2, -1, -3, 2, 0, -1, -2, 2, -1, 2, 0, -1, 0, 0, 1, -1, 1, 6, 1, 1, -1, -1, -2, -3, -2, 2, -1, 0, 2, -2, 2, -1, 2, 2, 0, -1, 0, 1, -2, 1, 6, -2, 0, 1, 0, 0, 0, 0, 0, 1, -2, 2, -2, 1, -2, -2, 0, 1, 2, -1, 2, 1, -2, 6, -1, -1, -2, -2, -2, 2, 0, -1, 1, -1, 1, 0, 0, 0, 0, -2, 0, 1, 0, -1, 0, -1, 4, 1, 0, 0, 1, -1, 2, 2, 1, -2, 1, 0, 0, -1, 1, -1, 0, 2, -1, -1, 1, -1, 1, 4, 0, 1, 1, -1, 0, 1, 2, -1, 1, -2, 1, 1, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 4, 1, 2, -2, 1, 0, 1, -1, 1, -1, 0, 1, 1, 0, -1, 1, -1, -3, 0, -2, 0, 1, 1, 4, 2, -1, 0, 1, 1, -2, 2, -2, 0, -1, 2, -2, 0, 1, -3, -2, 0, -2, 1, 1, 2, 2, 6, -3, 0, 2, -2, 2, -2, 2, -1, 0, -1, 1, 0, -1, 2, 2, 0, 2, -1, -1, -2, -1, -3, 4, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 2, 0, 1, 0, 0, 0, 4, 0, -1, 0, 1, 1, -1, 0, 1, -2, 0, 1, -1, 0, 1, -1, 2, 1, 0, 1, 2, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, -2, -2, 2, 1, -1, -2, 1, 2, 2, -1, 0, 0, -1, -1, 2, -1, 0, 1, 2, 4, 2, 1, -2, 0, 2, -1, -2, -1, -1, 2, 1, 0, 1, -1, 1, -2, 0, 1, 0, 0, 2, 2, 4, 0, -2, 0, 2, -1, -1, -1, 1, 2, 1, 0, 1, -1, -1, -2, 0, -1, 1, 1, 2, 1, 0, 4, -1, 0, 1, 1, 0, -2, 0, 2, 1, 0, 1, 1, 1, -1, 1, 0, -1, 0, -2, -2, -2, -1, 4, 0, -2, 1, 2, 0, 1, -1, -1, 0, 0, 1, 0, 2, -1, -1, 1, 0, -2, 0, 0, 0, 0, 4, -1, -2, 1, 0, -1, 0, -1, 2, 1, 0, 2, -1, -2, 1, 0, 0, 2, 2, 2, 1, -2, -1, 4, 0, -1, -1, 1, 2, 0, -1, 0, 0, -1, -2, 1, 1, -1, 1, 1, -1, -1, 1, 1, -2, 0, 4, 0, -1, 0, 1, 0, -2, 0, 1, -1, 1, 1, -2, 0, 0, -1, -2, -1, 0, 2, 1, -1, 0, 6, 1, 3, -1, -1, 1, -1, 0, 1, 2, 0, 1, 1, 0, -2, -1, -1, -2, 0, 0, -1, -1, 1, 6, 1, -3, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, -1, 1, 0, 1, -1, 1, 0, 3, 1, 6, -1, 1, 0, -1, 0, -1, 1, 1, 0, 0, 1, 2, 2, 2, 2, -1, 0, 2, 1, -1, -3, -1, 6, 1, -2, 1, 1, 0, -2, 1, 0, 0, 1, 2, 1, 1, 1, -1, -1, 0, 0, -1, 0, 1, 1, 4, -1, 1, 0, 0, -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, 2, -1, -2, 1, 1, 0, -2, -1, 4, 0, 0, 1, 0, -2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 1, 0, 4, 0, 0, -2, 0, -1, 0, 1, 0, -1, -1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, -1, 0, 2, -1, 1, -1, 1, 0, 2, -1, -1, 1, 0, -1, 0, 0, 1, 0, 0, 4, 0, -1, 2, 0, -1, -1, -2, -2, -1, 2, -1, -2, 1, 2, 1, 1, -2, -1, 0, -2, 0, 0, 4, 0, 0, 1, -1, 2, 0, 0, 1, -1, -2, 1, 1, 0, 0, 1, 1, 2, -2, 0, 0, -1, 0, 4, 0, -1, 1, -1, 1, -1, 0, -1, 1, 1, -2, 1, 1, 0, 0, 0, 0, -1, -1, 2, 0, 0, 6, -1, -1, 0, 0, 1, -1, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 4, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, -1, -1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -1, -2, -1, -2, 0, 1, 0, 1, -1, 0, 2, 2, -2, 1, -1, -2, 1, 1, 0, 4, -1, -1, 0, -1, 2, 1, 2, 1, 2, 1, -1, -1, 0, 0, -1, 1, 0, -1, -2, 0, 1, -1, 4, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 2, -1, 0, 6, 0, -1, 0, 0, 1, 0, 1, -1, -2, -2, 0, 2, -3, 1, 0, 1, -1, 2, -1, 0, -1, 0, 4, -1, 0, 0, -1, -1, 0, 0, -1, 1, 0, 1, -1, 0, -1, 2, -1, 1, -2, -1, 0, -1, -1, 4, -1, 1, -1, -1, -1, -1, 1, -1, -2, -2, 1, -1, 1, 1, 0, -2, -1, 2, 0, 0, 0, -1, 4, 2, 2, 0, 2, 0, 0, 0, -1, 0, 0, 1, 0, 1, -2, 0, -2, 1, 0, 0, 0, 1, 2, 4, 1, 0, 1, 0, 0, 0, -2, 0, 0, -1, 0, 2, -1, 0, 0, 2, -1, 1, -1, -1, 2, 1, 4, 0, 1, 1, -1, -1, 0, 0, -1, 1, 0, -1, -1, 1, 1, 1, 1, 0, -1, -1, 0, 0, 0, 4, 0, 1, -1, 0, 1, 1, -1, 1, 1, -1, -1, 1, 0, 2, 0, 1, 0, -1, 2, 1, 1, 0, 4, -1, 0, -1, -1, 0, 0, 0, 1, 1, -2, 0, 1, 1, -1, -1, 0, -1, 0, 0, 1, 1, -1, 4, -1, 1, 2, 1, -1, 1, -1, -2, 0, 1, -1, -1, 0, -2, -1, 1, 0, 0, -1, -1, 0, -1, 4, 0, 0, -2, 2, -1, 0, 0, 1, -2, 0, -1, 1, -2, 1, -1, 0, 0, -1, 0, -1, 1, 0, 4, 0, 1, 1, -1, -1, 0, 2, 0, 2, 0, -1, 0, 0, -2, -1, -2, 0, 1, -1, 2, 0, 0, 4, 1, -1, 1, -1, -2, 1, 1, 2, 0, 0, 2, 1, -2, 0, 0, 0, 1, 0, 1, -2, 1, 1, 4, -2, 1, -1, 1, 1, 2, -2, -1, 0, -3, -1, 1, 0, 0, -1, -1, 0, -1, 2, 1, -1, -2, 6, -1, 0, 0, 1, -2, 1, 1, -1, 1, 0, -1, 1, -1, 1, 1, 0, 1, -1, -1, 1, 1, -1, 4, 0, 0, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 1, -1, 0, -1, -1, -1, 0, 0, 4, 0, -1, 0, -2, -1, 0, 1, 2, 1, 1, 2, -1, -1, 1, -2, 0, 0, -2, 1, 0, 0, 0, 6, 0, 0, 1, -2, 0, -1, -1, 0, -2, -1, -1, -1, -2, 0, 1, 2, 1, 1, 1, -1, -1, 0, 6, -1, 1, 0, 0, 2, 1, -2, 0, 0, 1, 1, 0, 1, -2, 0, 1, 2, -2, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 2, 0, -1, -2, 1, -1, 0, 0, 1, 0, 0, -1, 1, 2, 0, 0, 1, 1, -1, 4, -1, 0, 0, 1, 1, 2, -2, -1, -1, 1, -1, 0, 1, 1, 1, 0, 1, 0, 1, -2, 0, -1, 4, 0, -2, 1, -2, 1, 0, 1, 1, -2, 1, 0, 0, 1, -1, -1, -1, 1, -1, 2, 2, 0, 0, 4, 0, 1, 0, 0, 1, -1, -1, 0, 1, 1, -1, -1, 1, 1, 1, 0, 0, 1, 2, 0, -2, 0, 6, -1, 2, 0, 0, -2, 1, 1, 1, -1, 2, -2, 0, 1, -1, -2, 1, 1, 0, 1, 1, 1, -1, 4, 1, 2, -1, 1, -1, -1, 1, -1, 0, -1, -1, 1, 1, 0, 0, -1, -1, 1, -2, 0, 2, 1, 6, 3, 0, 1, 1, 2, 1, -1, 0, -2, 1, -1, 2, -3, 0, -2, -2, 2, 1, 0, 0, 2, 3, 6, -2, 0, 1, 0, 0, 0, 0, 0, 0, -2, 1, -1, -1, -1, 1, -2, 0, 1, 0, -1, 0, -2, 4, 1, 1, 0, 1, 1, 0, -1, 1, 0, 0, 0, -1, 2, -1, -1, 1, -1, -2, 1, 1, 0, 1, 4, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, -1, 1, -1, 1, 1, 1, 1, 4, 0, 0, 1, 1, 0, 0, -2, 0, -1, -1, 1, 0, 1, -2, 0, 1, -1, 2, 0, 0, -1, 0, 4, -1, -1, 0, 0, 1, 0, 1, -2, 0, -2, 1, -1, 1, 1, 1, 1, 1, 0, 1, 0, 0, -1, 4, -1, 1, -2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, -1, -1, -1, 0, 1, 0, 1, -1, -1, 4, -1, 1, 1, -1, 0, 1, 0, 1, 0, 1, 0, -1, 2, 0, 0, 0, 0, -1, 1, 0, 1, -1, 4, -1, -1, 0, 0, 0, 0, 1, -1, 1, 1, -1, -2, -1, -2, 0, -1, 0, 0, 0, -2, 1, -1, 4, 1, -1, -1, 1, 0, 0, 1, 1, -1, 1, 0, -1, 1, 0, 1, 0, 0, 1, 0, 1, -1, 1, 4, 0, 1, 0, 1, 0, 2, 0, -1, 1, 1, 1, -1, -2, 0, -1, -2, 0, 1, -1, 0, -1, 0, 4, 0, 1, 2, 0, 0, 1, -1, 1, -1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 4, -1, 0, -2, 0, 0, 1, 0, -2, 0, -3, -1, 0, 0, -1, -2, 0, 1, 0, 1, 0, 1, -1, 4, 1, 1, 1, 1, -1, 0, 1, 0, 0, -1, -1, -1, -1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 4, -1, 1, -2, 2, 1, 1, -1, -2, -1, 2, 0, 1, -2, 2, 1, 1, 0, 0, 0, -2, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 2, -2, 0, 2, 1, -1, 1, -1, 1, 1, 4, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -2, -1, 0, 1, 0, 0, 1, 2, 0, 2, -1, 0, 4, 0, 0, 0, -1, 0, -1, -1, -1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4, 0, -2, 1, 1, 2, -1, -1, 2, -1, -2, 0, 1, 0, 1, 2, 0, -1, -1, 1, 0, 0, 0, 4, -1, -2, 2, 0, 0, -2, 0, 0, -1, 0, 1, 2, 2, 0, 0, -2, 1, 1, 0, 0, -2, -1, 4, 1, -2, 0, 0, 2, 0, 0, 1, 0, -2, 1, -1, -2, 0, 1, 0, -1, 1, -1, 1, -2, 1, 4, -2, 1, 1, 1, 0, -1, -2, 0, -1, -1, -1, 1, 0, 1, 0, 1, 0, 0, 1, 2, -2, -2, 4, 0, 0, -1, 0, 0, 1, 0, 1, 1, 2, 1, 0, -2, 0, -1, 0, -1, 2, 0, 0, 1, 0, 4, 0, 1, 2, -1, -2, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 4, 0, -2, 1, -1, 1, -1, -1, 0, 0, 0, 0, 1, -1, -1, -1, -1, -2, 2, 1, -1, 1, 0, 6, -1, 1, 1, 0, -1, 0, -1, 0, -2, 1, -1, -1, 0, 2, 2, 0, 0, 0, 0, 2, -2, -1, 6, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0, -1, -2, 0, -1, 0, 0, -1, 0, -1, 1, 1, -1, 4, 0, 1, -1, 0, -1, 0, -1, 1, -1, 2, -1, 1, -2, -1, 1, -2, 1, -2, -1, 1, -1, 0, 6, -1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 4, 1, -1, -1, 1, 1, 1, -1, 0, 1, 1, 1, 1, -2, -1, 1, -1, -1, -1, -1, -1, 0, 1, 4, -1, 1, 1, 1, -1, 0, 2, 0, 0, 0, 2, 1, -1, 1, 1, -1, 0, 1, 0, 0, -1, -1, 4, 1, 0, 0, -1, 1, 1, 0, 0, 1, 2, -1, -1, 2, 0, 0, -1, 1, -1, 0, -1, 1, 1, 4, 0, 0, -2, 1, -1, 1, 0, 2, 0, -2, 1, 1, 1, 0, 0, 0, 0, -2, 1, 1, 0, 0, 4, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 1, 1, 0, 0, 0, 4, 1, 1, -1, 0, 0, -1, -2, 1, 1, -2, 0, 0, 1, 0, 1, 0, 1, -1, -1, -2, 0, 1, 4, -1, 1, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, 0, 1, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, 0, -1, 1, -1, -2, 0, 1, -2, 0, -1, 2, -2, 2, -2, 0, 0, -2, 4, -2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, -1, 0, -1, 0, -1, 1, 1, 0, 2, -2, 4, -2, -1, -1, 1, -2, 0, -1, -1, -1, 0, -1, 1, 0, 1, 0, 2, -1, 1, 1, -2, 2, -2, 4, 1, 0, -1, 2, 0, 0, 2, 1, -1, 0, -1, 1, -2, 0, -1, 2, 1, 0, 1, 0, -1, 1, 6, -2, 0, 1, 1, -2, 2, 2, 2, -3, -1, 2, -1, -2, 0, 2, -2, -1, -1, 2, -1, 0, -2, 6, -2, -1, -2, 0, 1, -1, 0, 0, 0, -1, 1, 1, -2, 1, -1, 2, 0, 0, 1, -1, 0, -2, 4, 1, 0, 1, 0, 1, 1, 0, 1, 1, -1, 0, 1, 0, 0, 0, -1, 2, -2, 2, 1, -1, 1, 4, 0, 2, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 1, -2, 0, 0, 4, 1, 0, 0, 1, 1, 0, -1, 1, 0, 1, 0, 0, -2, -1, 2, -1, 0, -2, 0, 1, 2, 1, 6, -2, -1, 0, 3, 0, -1, 1, 1, 1, -2, 2, -1, -2, 1, -1, 2, 2, 1, 0, 0, 0, -2, 6, 0, 1, -2, 1, 2, -2, 1, -2, 4, -2, 1, 0, 1, -1, 1, 2, -1, 1, 1, 0, -1, 0, 4, 1, -1, -2, 0, -1, -1, 0, 0, -1, -1, 1, 0, 0, -1, 2, 0, 1, 0, 1, 0, 1, 1, 4, -2, 1, 0, 1, -1, 1, 1, -2, 0, -2, 1, -1, 0, -3, 0, 0, 0, 1, 3, -2, -1, -2, 6, -1, -1, 0, 2, -1, -1, 2, -1, 0, -1, 1, -1, -1, 0, 1, 0, 0, 0, 1, -2, 1, -1, 4, 0, 0, 0, 1, 1, -1, 1, -1, 0, 0, 1, 2, -1, 1, 1, -1, -1, 2, 0, 0, -1, 0, 4, -1, 0, -1, 2, 0, 1, 2, -1, 1, -2, -1, 1, -1, -1, 1, 1, -2, -1, 1, 0, 0, -1, 4, 0, 1, -2, 0, 0, -2, 0, 0, 0, -2, 1, 0, -1, 0, 1, 1, -1, -1, 2, 0, 0, 0, 4, -1, 1, 0, 0, 2, -1, 2, -1, 0, -2, 1, 0, 1, 1, -2, 0, 1, -1, 1, -1, 1, -1, 4, -2, 1, 0, -2, 1, -1, 2, 2, 1, 0, 0, 0, -2, 4, 0, 1, -1, 1, 2, -2, 1, -2, 6, -1, 1, 0, 1, 1, 1, -2, -1, 0, 1, 0, 2, -2, -1, -2, 2, -1, 0, 0, 0, 1, -1, 6, 0, 0, 0, 1, 0, -1, 2, 0, -1, -2, -1, 1, -1, 0, -1, 1, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, 0, -1, 0, 1, 0, -1, 0, -2, 1, 2, -1, 2, -1, -2, 1, -1, 2, 4, -2, 1, -1, 1, 1, -1, -1, 1, 0, 0, -1, -1, 2, 0, -1, 1, -2, -1, 2, 1, -2, -2, 4, 1, 2, -1, 1, 2, 0, 0, -1, 1, 1, 2, -2, -2, 0, -1, 2, 2, 0, 0, 0, 1, 1, 4, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, -1, 0, -1, -1, 0, 1, 2, 1, -1, -1, 2, 2, 4, 1, -1, 1, 0, 0, 1, 2, 2, 1, -1, -1, 0, -2, 1, 1, 0, 0, 1, 1, -1, 1, 1, 4, -2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, -2, 0, 1, 1, 0, 1, 1, 0, -1, -2, 6, 2, 0, 1, -2, -1, 0, 1, 2, -3, 0, 1, 0, 1, -1, -1, -1, -1, 2, 1, 1, 0, 2, 4, 0, 0, -1, 1, 0, 1, 0, -2, 1, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, -1, 0, 1, 2, -1, 0, -1, 0, -2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 4, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 0, 1, 0, 0, -1, 1, 1, 1, -2, -1, 1, 1, 4, 1, 1, 0, 1, 2, 0, -1, -1, 0, -1, 1, -1, 0, 1, 2, 2, 1, -1, 1, 0, -1, 1, 4, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1, 1, 1, 2, 0, 0, 0, -1, 1, 1, 1, 4, 1, -1, 0, 0, -1, 1, 1, 0, -1, -2, -1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 4, -2, -1, 0, 0, 0, 2, 0, 1, 1, 2, -2, -1, -1, 0, 2, 0, 1, 1, 1, 0, -1, -2, 6, 0, 0, 0, -2, -1, -2, 0, 2, 0, -2, 0, -1, 2, -3, -2, 2, 1, 2, 0, 0, -1, 0, 6, 0, 1, -2, -1, 0, 1, -1, -1, 0, -1, 0, 1, 0, 1, -1, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, 0, -1, 0, 2, 1, -1, -1, -2, 1, 1, 0, 0, 1, -1, -2, -1, 0, 0, 1, 0, 4, -1, 0, 1, 0, -1, -2, 2, 0, 1, -2, 0, 1, -1, -1, -1, 0, 1, 0, -2, -2, 0, -1, 4, 0, 0, -1, -2, -1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, -1, -1, 0, 0, 0, 4, 1, 1, 1, 2, 0, 2, 0, 1, -1, -1, -2, 0, -1, 0, 0, 0, -2, 0, -1, 1, 0, 1, 6, 1, -1, 1, 0, 1, 0, 1, -1, -1, 0, 1, 1, 0, -1, 1, 0, 1, 0, 0, -1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -1, -2, -2, 1, 0, 0, -1, 1, 2, -1, 1, 2, -1, -1, -1, -2, -2, -2, 4, 1, 0, -1, 2, 0, 0, 0, 0, 0, 1, 0, -2, 2, 1, -2, 1, 2, 1, 0, 0, 0, 1, 4, 0, 1, 2, -1, -1, -1, 0, 0, 1, 2, -1, -1, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 4, -1, 0, 0, 0, 1, 2, 1, 0, -2, -2, 1, 2, 0, 1, 1, 0, 2, 1, 1, -1, 1, -1, 4, 1, -2, -1, -1, -1, 1, 1, 0, 1, 0, 0, 2, 0, -1, 1, -2, 1, -1, 2, 2, 0, 1, 4, 0, 0, 0, 0, 0, 2, 0, -1, 1, 2, -1, 2, 1, 2, 0, 0, -2, 0, -1, 0, -2, 0, 4, 2, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 2, 1, -2, 0, -1, 0, -1, 0, 2, 4, 0, 1, -1, 1, 0, 0, 0, -2, -1, 0, 1, 1, 2, 2, 1, 0, -1, 1, -1, 0, 0, 0, 4, 1, -1, -1, -1, -1, 1, 2, -1, 1, 0, -1, 1, -2, 0, 0, 0, 2, -1, 0, 0, 1, 1, 4, -1, 1, -1, -2, 0, 1, -1, 1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, -1, 4, 1, -2, -1, 1, 1, 1, -1, 1, 1, -1, 2, -1, 1, 1, 0, 1, 2, 0, 1, -1, 1, 1, 4, 0, -1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, -2, 0, 0, -1, 0, -1, -1, -2, 0, 6, 3, -2, -1, 1, 0, 0, 0, -2, -2, 2, -2, -1, -2, 1, -1, -1, 0, -1, -2, -1, -1, 3, 6, -2, -2, 2, -2, -1, 0, -1, -1, -1, 2, -1, 1, 0, 1, 0, 0, 1, 0, 1, 1, -2, -2, 4, 0, -1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, -1, -2, 2, 1, 1, 0, -1, -2, 0, 6, 0, 2, 0, 0, 0, -1, 2, -2, 0, 0, 2, -1, -1, -1, -1, -1, 1, 0, 1, 2, -1, 0, 4, -1, -1, 0, -1, 1, -1, 1, 2, 1, 0, 2, 0, 0, 1, 1, -1, 1, 0, -2, 0, 2, -1, 4, 0, 1, 2, 0, -1, 2, 0, 1, -1, 1, 0, 1, 0, 0, 1, 1, 0, -1, 2, 0, -1, 0, 4, 1, 0, 1, -1, 1, 1, 0, 1, 2, 0, 1, -1, -1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 4, 1, 2, -2, 0, -1, 2, -2, 0, 2, 2, 1, 1, -1, 0, -2, -1, 0, 0, -1, 2, 0, 1, 6, 1, -2, 0, 0, 1, 1, 0, 1, 2, -2, 0, 2, 2, -2, -1, 1, -1, 1, 0, 1, 2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 0, -1, 1, 1, 0, 1, 0, 1, -2, 0, 0, 1, 1, -2, -2, 0, -1, 0, -2, 4, -2, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 0, -1, -2, -2, 0, 0, 0, 0, 1, 2, -2, 4, -1, -1, 0, 1, 2, 1, 0, 1, 0, -2, 1, 1, 1, 2, -2, 0, 1, 0, -1, 0, 0, -1, 4, 2, 0, 0, 1, -1, 1, -2, -1, 1, -1, -2, -1, 0, 1, 0, -2, 0, 0, 0, 0, -1, 2, 4, -1, -1, 1, -2, 0, -2, 0, 0, -1, -1, 0, -1, 1, -1, -2, 1, 0, -1, 1, 0, 0, -1, 4, -1, 0, 1, -1, 1, 1, 1, 1, 0, -1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, -1, -1, 4, -1, 1, 1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 1, -1, 1, 1, -1, 2, 1, 1, 0, -1, 4, -1, 0, -1, 0, -1, -1, -1, -1, 1, -1, 0, -1, 0, -2, 0, 0, 1, -1, -2, 1, 1, -1, 4, -1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, -1, 1, 1, 0, 0, 1, 0, -1, 1, 0, -1, 4, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -2, -2, 1, 1, -1, 1, -1, 4, 0, 0, 0, 2, 1, 0, -1, 0, 2, 0, 1, 1, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 4, 0, 0, -1, -1, 0, -1, -1, 0, -1, 0, -2, 1, -2, 1, 0, 1, 0, -1, 0, 0, 0, 0, 4, -1, 0, -1, 0, 1, 2, 0, 0, 1, 0, 0, 1, -1, -1, 1, 1, -1, 2, 0, 0, 0, -1, 4, 0, 1, 1, 0, 0, 1, 1, 1, 0, -1, 1, -2, -1, 0, 0, -1, 1, -1, 2, -1, 0, 0, 4, 1, 0, -1, 1, 2, 0, 1, 1, -2, 1, -1, 0, -1, 1, -1, 0, 0, 1, -1, -1, 1, 1, 4, 1, 0, -1, 1, 1, 1, 1, -2, 2, 0, -1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 4, 0, 1, 0, 0, 0, -2, 0, -2, 1, 1, 0, -1, -1, 0, 0, -1, -1, 1, 0, -1, 0, 0, 4, 1, -1, 1, 0, -2, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, -1, 2, 0, 1, -1, 1, 1, 4, 0, 0, 0, 0, 0, 1, -2, -2, 1, 1, -1, 1, -1, 2, 0, 0, 1, 2, 1, 0, -1, 0, 4, 1, 1, -1, 0, 0, 0, 1, 1, -1, 0, -1, 0, 0, -1, 0, 1, 0, 1, 0, 1, 0, 1, 4, 0, 0, 1, -1, 0, 0, 1, 1, -2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 0, -2, -2, -1, -1, 1, 0, -1, -1, 1, 0, -1, 1, 0, 1, 0, 1, 4, 0, -1, 2, 1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, -1, -2, 0, -1, 2, -1, -1, 0, 4, -1, 0, 0, 1, 0, -1, 0, 1, -2, -1, -1, 0, 1, -1, 0, -1, 1, 1, -1, 1, -1, -1, 4, -1, 1, 1, -1, -2, 1, -1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, -1, 4, 1, 1, -1, -1, -1, -1, 0, 0, -1, -1, 1, -2, -2, 1, 0, 1, -1, 2, 1, 0, 1, 1, 4, 0, -2, -2, 1, 0, 0, 1, -2, 0, 2, -1, -2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 4, 0, -2, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 2, 0, -2, 0, 0, -1, -1, -2, 0, 4, 3, 0, 1, 0, 0, 2, 1, -1, 0, 1, -1, 0, 1, -1, -2, 1, -1, -2, -1, -2, -2, 3, 6, 1, 0, 0, 0, 2, 1, -1, 0, 1, 0, -1, -1, -1, -1, 0, 0, 1, -1, 1, 0, 0, 1, 4, 1, 0, 1, 0, 1, 0, 1, 1, -1, 1, -1, 2, -1, 0, 1, -1, -1, 0, 0, 1, 0, 1, 4, 1, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, 4, -1, 0, -1, 0, 0, 0, 0, -1, -1, 0, 0, -1, -1, 2, 0, 1, 0, 0, 0, 1, -1, -1, 4, 0, 1, 0, 1, 1, 1, 2, 0, 2, -1, 0, -1, 0, -1, -2, 0, 2, 2, 0, 1, 0, 0, 4, 0, -1, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 1, 1, 0, -1, 1, 0, 4, -2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, -1, -1, 0, 0, 0, 0, -1, -2, 4, -1, -1, 0, 1, 0, 0, 0, -1, -1, 2, -2, -1, -1, 0, 0, 1, 0, 0, 1, 1, 1, -1, 4, 2, 0, 0, 0, 2, -1, -2, 0, 1, -2, -2, 0, 1, 1, 1, 0, 0, 1, 1, 0, -1, 2, 4, 0, 1, 0, 1, 1, 0, -1, 1, 1, 0, 0, -1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, -1, 1, 1, 0, 1, 1, 0, -1, 1, 1, -1, 2, 0, 0, 1, 0, 1, 0, 4, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, -1, -1, 0, -1, 0, 1, 0, 0, 0, 0, -1, 1, 6, -1, 0, -1, -1, 2, -1, 1, 0, -1, -1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 2, 1, 0, 1, -1, -1, 2, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 4, -1, 0, 2, 1, 1, -1, 1, 2, 1, -1, 2, 0, 1, 0, 0, 0, -2, 0, 0, 2, -1, -1, 4, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, -1, -2, -1, 0, 1, 2, 0, -1, 0, -1, 4, 0, 0, -2, -1, -1, 0, 1, 0, 0, 1, 1, -1, 1, 2, 0, -2, 0, 0, 1, 2, 0, 0, 4, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, -1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 4, 2, 0, 0, 1, -1, 0, 2, -1, 0, 0, 1, -1, 0, 0, 0, 1, 2, 1, 0, -2, 1, 2, 4, 1, 1, 1, -1, -1, 2, -1, 0, 1, 1, -1, 0, 1, -1, 0, 1, -1, 0, -1, 0, 0, 1, 4, -1, -1, -2, -1, -1, 1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 4, 0, 1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, -1, 0, 4, 0, -1, 1, 0, 2, 0, -1, 0, 0, 0, 0, 2, -1, 1, 0, 1, 1, -1, -1, -2, 1, 0, 4, 0, 1, 1, 0, 0, -1, 2, 0, -1, 1, 0, -1, -1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 4, 0, 0, -1, 0, -1, -1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, -1, 2, 1, 1, 0, 6, -2, 1, -1, 1, -1, -1, 0, 1, 1, -1, 0, -1, 1, 1, -1, -1, 1, -1, 0, 1, 0, -2, 4, -1, 0, 0, 2, 0, -1, -1, 1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 2, 0, -1, 1, -1, 4, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 4, 1, 0, 1, 0, 0, 0, 1, 0, -2, 1, -1, 1, 1, 1, 0, -1, -1, -1, 1, 0, 0, 1, 4, 0, 0, -1, -1, 0, -1, 0, -1, 2, 1, -1, -1, 0, 0, 0, 2, -1, -1, 2, 0, 0, 0, 4, 1, -1, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 4, -1, 0, -1, 1, 0, 1, -2, 0, 0, 1, 1, 0, 0, -1, 1, 0, -1, 0, 0, -1, -1, -1, 4, 1, 0, -1, 0, 2, 0, 0, 0, -1, -1, 1, 0, 1, 1, 1, -1, -1, 0, -1, 0, 0, 1, 4, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, -2, 0, -1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, -1, -1, -1, -2, 4, 1, -1, 2, 1, 2, -1, -1, -2, -1, 1, -2, 0, 1, -1, -1, -2, 0, -1, 1, 0, 0, 1, 4, 1, 1, 2, -1, -2, -2, 1, -1, 0, -2, 1, 0, 1, 0, -1, 1, 1, 0, 1, 1, -1, 1, 4, -1, 1, -2, -2, -1, 1, -1, 1, -1, 1, -1, 1, 2, 1, -1, 1, 0, -1, -2, 2, 1, -1, 4, 2, 2, -1, 0, -2, -2, 0, -1, -1, 0, -1, -2, -2, 0, -1, 0, 0, -1, 1, 2, 1, 2, 4, 1, -2, 0, -1, -1, 0, -2, 1, 0, 1, -1, -1, 0, 1, 0, 0, -2, 2, -1, -2, 2, 1, 4, 0, 1, -2, 0, 0, 0, -1, 1, -1, -2, -2, 0, -1, 1, 0, 0, -1, -2, -2, -1, -2, 0, 4, 2, 0, 1, -1, 1, -1, 0, -1, -1, 0, 0, 0, -1, 0, -1, -1, -2, -1, 0, 0, 1, 2, 6, 1, 2, -1, -1, 0, 0, -1, -2, 0, -2, -1, 1, 1, 2, -2, 1, 1, -2, -1, -2, 0, 1, 6, 1, 0, 0, 2, -1, 2, 0, 0, -1, -1, 0, 0, 2, -1, -1, -1, -2, -1, 0, 1, 2, 1, 6, -1, 0, 1, 1, -1, 1, 2, -1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, -1, -1, 0, -1, 4, 1, 1, 2, 1, 1, 0, -1, -1, -1, -2, 2, -2, -2, -1, -1, -2, 0, 1, -1, 0, 0, 1, 6, 0, 1, 1, 1, 1, 0, 0, -2, -1, 1, 0, 1, 1, -1, 1, -1, -1, 0, 2, 1, 1, 0, 4, 0, 2, 1, 0, -1, 1, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 1, 2, 1, 0, 4, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, -1, 1, -1, -1, -1, 2, -1, 1, 1, 2, 0, 4, 1, 0, 0, 1, -1, 0, 2, -1, 0, 2, -2, -1, -2, -1, -2, 0, 1, 1, 1, 1, 0, 1, 4, 2, 0, 1, 0, 0, 2, -2, -1, 1, -2, -1, -2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 4, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -2, -1, -1, -1, 0, -1, 0, 0, 0, 0, 4, 0, 0, 1, -1, -1, 1, 1, -1, 1, -1, 0, -1, -1, 0, -1, 0, 1, -1, 1, 1, 1, 0, 6, 0, 1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, -2, 0, 0, -1, 0, 0, 0, 0, 4, 1, -1, 0, 1, -1, 0, 0, 0, 0, 1, 0, 1, -2, -1, 0, 0, 0, 0, 0, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, 0, 0, -2, -1, -2, -2, 0, 1, 1, 1, -1, -2, 1, -1, 0, 0, 1, -1, -2, 4, -1, 0, 0, -1, 2, 0, 1, 0, 0, 0, -1, -1, 1, 1, -1, 1, 0, 0, -1, 1, 1, -1, 4, 2, 1, 0, 0, 1, 1, 1, -1, 1, -1, 0, 1, 0, -1, 1, 1, -1, -1, 1, 2, 0, 2, 6, 2, 1, -1, 0, -2, -1, -1, 1, 0, 0, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, 1, 2, 4, 2, 0, 0, 1, 0, -2, 1, 1, 0, -1, 1, -2, 0, -1, -2, 0, 1, 0, -1, 0, 1, 2, 4, 0, -1, 1, 0, -2, 0, 0, -1, -1, 0, -1, -1, 0, -1, 1, 1, -2, 2, 0, -1, 0, 0, 4, 0, 2, 0, 0, 0, -1, -2, 0, 2, -1, 1, 0, 1, -1, 1, -1, 0, 1, 0, 0, -1, 0, 4, -1, 1, 0, 1, -1, 1, 1, 1, 0, 2, -1, 0, -2, 0, -2, 1, 1, -2, 1, 1, 2, -1, 6, 2, -2, 0, -1, -2, 0, 1, -2, 1, 0, -1, -1, 1, -2, 0, 1, -1, 0, 0, 0, 1, 2, 4, 0, 0, -1, -1, 1, 0, -1, 1, 1, -1, -1, 1, 0, 0, -1, -1, -2, -2, 0, 0, -2, 0, 4, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 4, 0, 0, -1, -1, 0, 2, -1, -1, -1, 1, 1, -1, -1, 0, 1, 0, -1, -1, -1, -1, 0, 0, 4, 0, -1, -1, 1, -2, 0, 0, 2, -1, 1, -1, 0, 0, 0, -1, -2, 1, -2, -1, 1, 0, 0, 4, 0, 0, 1, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, -1, 0, 1, 0, 1, 1, -1, -1, 0, 4, 1, 0, 0, 2, 1, 0, 0, -2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, -1, -1, 0, 1, 4, -2, 1, -1, 1, -1, 0, 1, -1, -1, -2, -2, -1, -1, 0, -2, -1, 2, 0, 1, 1, 0, -2, 4, -1, 1, 1, 1, 0, -1, 1, 1, 0, 0, -1, 1, 2, 1, 1, 0, 2, -2, 0, 0, 1, -1, 4, -1, 0, -2, 1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 1, -1, 0, -1, 2, -1, 1, -1, 4, 0, 1, 1, 0, 0, -1, -1, -2, -1, 1, 0, -1, -1, 2, -1, 0, 0, 1, 1, 1, 0, 0, 4, 1, -1, 1, -1, -1, 0, 0, 1, -1, -2, -1, -1, 0, -1, 2, 0, 0, -1, 1, -2, 1, 1, 4, -1, -1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 0, 1, 0, -2, 0, -1, -2, -1, 0, 1, 1, 1, 1, 1, -1, 1, -1, 0, 2, 6, -2, 0, 1, 3, -1, -1, -1, 0, -2, 0, -1, 1, -1, 0, -1, 1, -1, -2, -1, -2, -2, -2, 6, 0, 2, 0, -2, 1, -2, -2, -1, -1, -2, -2, 1, 1, -2, -3, 2, 1, 2, 1, 1, 0, 0, 4, -1, 1, -1, 0, -1, 0, 1, 0, 1, 0, 0, -1, 2, 0, 1, 1, 0, 1, 0, 1, 2, -1, 4, 1, -2, 0, -1, -1, -1, -1, -2, 0, 0, 0, -2, -1, 1, 1, 0, 0, 1, 3, 0, 1, 1, 4, -2, -1, -2, 0, -1, -1, -1, 1, 0, -1, 0, 0, 0, -1, -1, -1, 0, -1, -2, -1, -2, -2, 4, 0, 2, 0, 1, 1, 1, 1, -1, 1, 1, 1, -2, 0, -1, 0, -2, -1, 1, 0, 0, -1, 0, 4, -1, 1, 0, 0, 0, -1, 0, -1, 0, -1, 2, 1, 1, 0, 0, -1, -2, -1, -1, -2, 2, -1, 4, 1, 1, 1, 1, 1, 0, 0, 0, 2, -1, -1, -1, 1, -1, 0, -2, 0, -1, 0, 0, 1, 1, 4, 1, 0, 1, 0, 0, -1, 1, 2, 0, -1, 0, -1, -2, -2, -1, 1, -1, -1, 1, 0, 1, 1, 6, 2, 1, 1, -1, -2, 2, 0, 0, -1, -1, 1, -1, 0, -1, 0, -1, -1, 1, 0, 1, 0, 2, 4, 0, 1, -2, -1, 1, 1, 0, 0, -1, 1, 0, -1, -2, 1, -2, -1, 1, 0, 1, 1, 1, 0, 4, -1, 0, -1, 1, 1, -1, -1, 0, 0, 1, 1, -2, 0, 0, 1, 1, -1, 1, 0, 1, 1, -1, 4, -1, -1, 1, 1, -1, 0, -2, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, -1, -2, 0, -1, 4, 0, 0, -1, 1, 0, 1, 0, 1, 0, 1, -1, 0, -1, 1, -1, 0, -1, -2, -1, -1, -1, 0, 4, -1, 0, -1, 1, 1, -1, 1, -1, -2, 2, -2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, -1, 4, 1, 0, 1, -1, 1, 1, 1, -3, 0, -1, 0, 1, -1, 2, 2, 0, 1, 1, 1, -1, 0, 1, 4, -1, 0, -1, 0, -1, -1, 2, 1, 1, 0, -2, 2, -1, 0, 0, 0, -1, -1, 1, -1, 0, -1, 4, 1, 1, 1, 1, -2, 1, 1, 1, -1, 0, 1, -1, -1, -1, 0, -1, 0, 0, 1, 1, 0, 1, 6, 1, 1, -1, -1, 2, 0, 0, -1, -1, 1, -1, 0, -1, -1, 0, -2, 1, 1, -1, -1, 1, 1, 4, -1, 0, -2, 1, 1, 0, -1, 0, 0, 1, -1, 1, 1, 0, 1, 0, -1, 1, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, -1, 1, 0, 1, 1, -1, 0, 2, 2, 2, 1, -1, 1, -1, -1, 1, 4, -1, 0, -1, 2, 1, -2, -1, -1, 0, 0, -2, -1, 0, 2, 1, -1, -2, 0, 0, 1, -1, -1, 4, -1, 0, 0, 0, 0, 0, 2, 1, 1, 0, -1, -1, 1, 0, 0, 0, 1, -1, 0, -1, 0, -1, 4, -1, 0, 0, 1, 1, -1, -2, -1, -1, -1, 0, 0, 0, 1, 1, -2, 1, 0, 1, -1, 0, -1, 4, -1, 1, -1, 0, -1, 0, 1, 0, 2, 1, 1, 1, 0, -1, 0, -1, -2, 1, 2, 0, 0, -1, 4, 2, -2, -1, 0, 0, 0, -2, -2, -1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 4, -1, 1, 0, 0, 0, -1, -1, 1, 2, 2, 0, 0, 0, 0, -1, -1, -2, 0, 1, -1, -2, -1, 4, 1, 0, 0, 0, 2, 1, 1, -2, -1, 0, 2, 0, 0, 0, 1, -1, 0, 1, 0, -1, 1, 1, 4, 0, -1, -1, 0, -1, 1, 1, 1, 2, 1, -1, 1, -2, 0, -1, 2, -1, -1, 0, 0, 0, 0, 4, 1, 1, 1, -1, -1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 1, -2, 0, 0, 0, 0, -1, 1, 4, 0, 1, 0, 0, 1, 1, 0, -1, 2, -1, 0, 1, 0, 1, -1, 1, 0, 0, 0, -1, 1, 0, 4, 0, 1, 1, 1, 0, -1, -1, 1, -2, 1, -1, -2, 0, -1, 0, -2, -1, 2, 0, 1, 1, 0, 4, 1, 0, -2, -1, -1, 1, 1, 0, 0, 0, -1, -1, -1, 2, -2, -1, 1, -1, -1, 0, 1, 1, 4, 1, -1, -1, -1, 0, 0, -1, 0, 2, 0, -1, 0, 1, -1, 1, 1, 1, -1, 0, 1, 0, 1, 4, 0, 0, 0, 0, 0, -1, -1, 2, 2, 1, 0, 1, 1, 2, -2, 1, 0, 1, 1, -2, -1, 0, 6, 2, 1, -2, 0, 0, -1, 2, 1, 0, 0, 1, 1, 2, -1, 1, 0, 1, 0, -1, -1, 0, 2, 4, 1, -1, 1, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, 2, 0, 0, -1, -1, -1, 0, 1, 1, 4, 1, 0, 1, -2, -1, -2, 0, 1, -1, 0, 0, 2, 1, 0, -1, -1, 1, 0, 0, -2, -1, 1, 4, -1, 1, 0, 1, 0, 1, -2, 0, 0, 0, 0, -1, 1, 2, 1, 1, 0, 0, 0, 1, 0, -1, 4, 0, 0, -1, 0, -1, 1, -1, 0, 0, 0, 1, -1, -1, -2, 0, -1, -1, 0, 0, 1, 1, 0, 4, -1, -1, 1, 0, 0, -2, 1, -1, 0, -2, 1, 0, 1, 0, 0, -1, -1, -1, -2, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -2, -2, -1, 1, -2, 0, 2, -1, -2, 1, -2, -1, 2, 1, -2, -2, 0, -2, 6, 2, -2, -2, 2, 1, -2, -3, 1, 2, -2, 3, -1, -1, 2, 0, 0, 0, 1, 2, -2, 0, 2, 4, -2, 0, 1, -1, -1, 0, 0, 2, -2, 2, -2, 1, -1, 1, 1, -1, 0, 2, -2, 0, -2, -2, 4, -1, -2, 1, 0, 2, 0, -2, 0, -1, 1, 1, -1, -1, 0, 0, 0, 0, 1, 1, -2, 0, -1, 4, 1, 0, 1, 1, -1, 1, 2, -1, -1, -1, -1, 1, 1, -1, -1, -2, 0, -2, 2, 1, -2, 1, 4, 1, 0, -2, 1, 1, 0, 1, 0, -2, 2, 2, 0, -1, 1, 0, 0, -2, 1, -1, 1, 0, 1, 4, 1, -1, 1, 0, 0, 0, 0, -2, 1, 0, -1, 0, 1, 0, 0, -1, -2, -1, 0, 1, 0, 1, 4, 1, 0, 0, 1, -1, 1, -1, 1, 1, -2, -1, 0, -1, 0, 1, -3, 0, 2, 1, -2, -1, 1, 6, -2, -1, -1, -1, -1, 1, -1, -1, 1, 0, -2, 1, 0, -2, 1, 0, 0, -1, 1, 1, 0, -2, 4, -1, -2, 0, 2, 0, 1, 1, -1, -1, 2, 1, 0, 0, 2, 2, -2, 1, 1, 0, 0, -1, -1, 4, 0, 2, -1, 0, 0, 0, 1, -1, -1, 0, -1, 2, -2, -2, 0, 2, 0, 0, 1, -1, -2, 0, 6, -2, -1, -2, -1, 0, 0, 0, -1, -4, 1, -1, 3, 2, -1, -1, 1, 0, -1, -1, 0, 2, -2, 4, 0, 1, 1, 1, 0, 0, 0, 2, -1, -2, -1, -2, 1, -1, 0, 0, 1, -1, 2, -1, -1, 0, 6, 0, 2, 1, -2, 0, 2, 1, 2, 1, -1, 1, 1, -1, -2, -2, -1, 1, 0, 0, -2, 1, 0, 6, -1, -1, 1, -1, 0, 2, 0, -2, 2, -1, -1, -1, 2, 1, 1, -1, 1, 0, -1, 1, 2, -1, 6, 1, -1, 0, 1, 1, 1, -1, 0, 1, -1, 1, 2, 0, 1, -1, 1, 0, 0, 1, 1, -1, 1, 4, -1, -1, 1, 0, 0, 2, 0, 1, 0, 1, 0, -1, -2, 1, -1, 1, 0, 0, -2, 1, -1, -1, 4, 0, -1, 0, 0, 1, 0, -1, 0, -1, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 0, 4, -1, 0, 1, -2, 1, 0, 0, -1, 1, 1, 0, -2, 2, -1, -1, 0, 2, 0, 1, 1, -1, -1, 4, 2, 0, -2, 2, 2, 0, -2, 0, 0, -1, 1, 1, 0, -4, 2, 1, 2, 1, 0, 0, 0, 2, 6, -1, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 2, 0, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, -2, -1, -1, -1, 0, -2, -1, 1, 0, 2, 4, 0, 1, -1, -1, 1, 1, 0, 1, 0, 1, 1, -2, -1, -1, -1, -1, -1, 0, 0, 1, 2, 0, 4, 1, 1, -1, 1, 2, 0, 0, 0, -1, 1, 0, -1, 1, -1, -1, -2, -1, 1, -1, 1, 1, 1, 4, -1, 0, 0, 0, 0, 1, -1, 0, 2, -1, -1, 0, -2, 0, -2, 0, 1, -1, 0, -1, 1, -1, 4, -1, 1, 1, 0, -1, -1, 1, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 0, -1, -1, 0, -1, 4, -2, -1, 2, 0, -1, 0, 0, 1, 1, -1, 0, 2, 0, -1, -1, 0, 1, 1, 1, 0, 1, -2, 4, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, -2, -1, 1, 0, -1, 2, 1, 2, 0, 1, -1, 0, 4, 0, 1, 1, 0, 0, -2, 0, 0, -1, -1, -1, 0, 1, 0, 2, 0, 0, 0, 0, 2, -1, 0, 4, 1, 0, 0, 0, 0, 0, -2, 0, 1, -1, -1, 1, 0, 2, 1, 0, 1, -1, 0, 1, 1, 1, 4, 1, -1, 0, -2, -1, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, -1, -1, 0, 1, 0, 1, 4, -1, -2, -1, -1, 1, 1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, -1, 4, 0, -2, 1, -1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, -2, 0, 4, -1, -1, -1, -2, 0, -2, -1, 0, 1, -2, -2, 0, -1, 0, 1, 0, -2, 0, -2, -1, -2, -1, 6, 0, 1, 0, -1, 0, 1, 0, -2, -1, -1, -1, -1, 1, 1, 0, 0, 0, -1, -1, 1, -1, 0, 4, 0, 0, 0, 1, 1, -1, -1, -1, -1, 1, 0, -1, -1, 0, 0, -2, -1, 1, -1, -1, 1, 0, 4, 0, 0, 1, 1, 0, -1, -1, -1, -1, -2, 0, 0, 0, -1, 0, 0, 1, 0, -2, 0, 0, 0, 4, 0, 2, 0, -1, 1, 0, -1, -1, 0, -1, 2, -2, -1, 1, 0, 0, 1, 0, -1, 0, 0, 0, 4, 1, -1, 0, 1, -2, -1, -2, -2, 0, 0, -1, -1, -1, -1, 1, 1, -2, 0, 1, 1, 2, 1, 4, 0, -1, 1, -1, 0, -1, 0, 0, -1, 1, 0, -1, 0, 0, -1, -1, 1, 1, 1, 0, -1, 0, 4, 1, -1, 1, 0, 1, 1, 1, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, 4, -1, 0, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, -2, -1, -1, 1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, 0, 1, -2, 0, -1, 0, -1, -1, 2, 0, 1, 1, -2, -1, -2, 2, 0, 2, 0, 4, -2, -1, 0, -1, 2, -2, -1, -1, 1, 0, 0, -1, -1, -2, -2, 2, 1, -1, 1, 2, -1, -2, 6, 0, 2, -2, -1, 2, 3, -1, 0, -2, -1, 2, 1, 0, 0, 0, -1, 2, -2, -3, 0, -1, 0, 4, -2, -1, -2, 2, -1, -1, 1, -1, 0, 1, 1, 2, 2, 0, 0, -1, -1, 1, 0, 0, 2, -2, 4, 0, 1, -1, 2, 1, -1, -1, 0, 0, -1, -1, -2, 0, -1, 2, 0, -2, 1, -1, -2, -1, 0, 6, -2, 0, 0, 2, -1, 3, 2, 0, 1, 0, -1, -1, -1, 1, 0, 1, -2, 2, -1, -2, 1, -2, 6, -3, 0, 1, 1, 1, -1, -1, -3, -1, 0, 1, 1, -1, 1, -1, 0, -2, 2, 2, -1, 0, -3, 4, 1, -1, 0, -1, 0, 1, 1, 1, 2, 0, -1, 0, -1, -1, -1, -1, 3, -1, 2, 0, 0, 1, 4, 1, 0, -1, -1, 1, 0, 0, -1, 1, -1, 1, -1, -2, 0, -1, -1, -1, 1, 2, 1, -1, 1, 4, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 0, 0, 4, -1, -1, 1, 0, 0, -1, 2, 1, 0, -1, 1, -1, 0, -2, -1, -1, 3, 1, -1, -1, 1, -1, 6, 0, 0, -1, -1, 2, 0, 1, 0, 0, 1, 2, 0, -1, 0, 0, 2, -1, 0, -1, 0, -1, 0, 4, -1, 1, 0, -1, -1, -2, 0, 0, 1, 0, -1, 2, 1, 0, 0, -1, 1, 1, -1, 1, 0, -1, 4, 0, 1, 0, 0, -1, 2, -2, 1, 1, -1, 1, 1, -1, 1, -3, 1, 0, 0, 0, -1, 1, 0, 4, 0, -1, -1, 0, 0, 0, 0, 1, -2, 0, 2, -1, 0, -1, 1, 0, 0, 0, -1, 0, 1, 0, 4, 1, -1, -1, 1, -1, 0, -2, -2, 0, 2, -2, -1, 0, 2, -1, -1, -1, 2, -1, 0, -1, 1, 6, -1, 1, -2, 0, -1, -1, 2, 0, 0, 0, -1, 1, 0, 1, 0, 2, 0, -1, 0, -1, -1, -1, 4, 1, 0, 0, 1, -2, 1, -1, 0, -1, -1, 1, -1, -1, 0, 1, 1, -2, -1, 0, -1, 1, 1, 4, -2, 1, 0, 2, -1, 2, -1, 2, 1, -1, 0, 1, 0, 0, 0, 0, 2, 0, 1, -2, 0, -2, 6, -1, 0, 0, 1, -2, -1, 0, 0, 1, -1, -1, 1, -1, 0, 0, -2, 0, -1, 0, 0, 1, -1, 4, -1, 2, 2, -3, 1, -2, 1, -1, -1, -2, -1, 1, 1, 1, 1, 0, 0, -1, 1, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, 0, 1, 2, -1, 1, 0, 1, 1, 0, -2, -1, -1, -1, 2, -1, 1, -2, 0, -2, 4, -2, -1, -1, -1, -1, 1, 1, 0, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 2, -2, 4, 0, 0, 1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 1, -1, 1, -1, 0, 0, 1, 2, -1, 0, 4, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 2, 1, 0, 0, 0, 0, -1, 0, 0, 4, 1, 0, -2, -1, 1, 1, -1, 0, -1, -1, 1, 2, 0, 1, 1, 1, 1, 1, -1, 1, 0, 1, 4, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, 2, 2, -1, 1, 2, 0, -1, 4, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 2, 1, 0, -2, 0, -1, 1, 0, -1, -2, 1, -1, 4, 0, 0, -1, 0, -1, 0, 1, -1, -1, 0, -1, -1, 0, 1, 1, 1, 1, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 4, 2, -1, -1, -2, 0, 0, -1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 1, 2, 4, -1, 0, -3, 0, 0, -1, 0, 0, 2, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 4, 2, -1, -1, -2, 0, 1, -1, -1, -2, -1, 0, 1, -1, 0, 0, 0, -1, -1, 0, -1, 0, 2, 4, -1, 1, -1, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, -1, -1, 0, 0, 0, -2, -3, -1, -1, 6, 0, 2, 1, -1, 0, -2, 3, 0, -1, 0, 0, -1, -1, 1, -2, 1, 0, 0, 0, -1, 1, 0, 4, 0, -1, -2, 0, 0, 1, 1, -1, -1, 1, -1, 1, 0, 0, -1, 0, 0, 0, -2, -1, 2, 0, 4, 1, -1, 0, 0, 2, 1, -1, 0, -1, 1, 2, 0, 0, -1, -1, -1, -1, 0, 1, 1, -1, 1, 4, 0, 1, -1, 2, 1, 2, -1, 1, 2, 0, 0, 2, 0, -1, 0, 0, 1, -1, -1, -2, -1, 0, 4, 0, 0, -1, 0, -1, 0, -1, 1, 1, -1, 1, -1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 1, 2, 2, -1, 0, -2, 0, 0, -1, 0, 0, 4, 0, 0, -2, 0, 0, 0, 1, 1, -2, 0, 0, 0, -1, -2, 0, 3, 1, 2, 2, -1, 0, 0, 6, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, 0, 1, 1, -1, 1, 0, 1, 1, 1, -1, 1, 0, -1, 0, -1, 1, 1, 4, 0, 0, -1, 1, -1, -1, -1, 0, 2, -1, 1, 1, -1, -1, 1, -1, -2, -1, 0, 1, -1, 0, 4, -2, 0, -2, 1, 1, -1, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, 1, 0, 1, 1, 0, -2, 4, -1, 0, -1, -1, 1, 1, 0, -1, -1, 0, 0, -1, 2, 1, -1, 0, 1, 0, 1, -1, 0, -1, 4, -1, 2, 1, 0, -1, -1, 2, 0, -1, 0, -1, -1, 1, 1, -1, -1, 0, 1, 1, -2, 0, -1, 4, -1, 0, 1, -1, 1, -2, 1, 2, -1, 0, 1, -2, -1, 0, -1, 0, 0, -1, 1, -1, 2, -1, 4, 0, 0, -1, -1, 0, 1, 0, 0, 1, -2, 2, 0, 0, -1, 1, 1, -1, 1, -1, 1, 0, 0, 4, 0, 0, 0, 1, 0, 0, 2, 1, -1, 0, 1, 1, 0, 0, 1, -1, -1, 1, 0, 1, 0, 0, 4, -1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 1, -1, -1, -1, 0, 0, 1, -1, -1, -1, 0, -1, 4, -1, 0, -2, 0, -1, 0, 1, 1, 1, 1, 1, -1, 1, 2, 0, 0, -1, 1, -1, 0, 1, -1, 4, -1, 0, 0, 0, 0, 0, -1, -2, -1, -1, 0, 0, -1, 1, -1, 2, -2, 0, 1, -1, 0, -1, 4, 0, -1, 1, 0, -1, 0, 2, 0, 0, -1, 1, 1, 1, -1, 0, 1, 1, 0, 0, -2, 0, 0, 4, 1, 1, 0, 0, 0, -1, 1, 0, 2, 1, 1, -1, 0, -1, 2, 0, 0, 1, 0, 0, -1, 1, 4, -1, 1, 0, -1, -1, 1, 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, 0, -1, 0, 1, 1, -1, 4, 0, -1, 0, 1, 1, 0, 1, -1, -1, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 4, -1, 0, 0, 1, 0, 0, 1, 1, -1, 2, -1, 1, -2, -1, 0, 1, 0, -1, 0, 0, -1, -1, 4, 0, -1, 0, 1, 1, 0, -1, 1, 1, 1, -2, 2, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 4, 0, 1, 1, 1, -1, -2, 0, -1, 1, -1, 0, 1, -1, 1, -2, 2, -1, -1, 1, 0, -1, 0, 4, 0, 0, -1, 0, -1, 1, 0, -1, 0, 0, 1, 1, 1, -1, 0, 1, 1, 1, 1, 0, 1, 0, 4, 1, 0, -1, 0, 0, 1, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 4, 0, 1, 1, 1, 0, 0, 0, 1, 0, -1, -1, 0, -1, 2, 0, 1, 0, 1, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -1, -1, 0, 0, 1, 0, -1, 0, -2, -1, -1, 0, 0, -1, 0, -1, 0, -1, 1, 0, 4, 2, 0, -1, 0, -1, -1, -2, -1, 0, -1, -1, 1, -1, -1, 2, 2, -1, 0, 1, 1, -1, 2, 4, -1, -1, -1, -1, 0, -2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, -1, 0, -1, 4, 1, 1, 1, -2, 2, 0, 0, 1, -1, 1, -1, 1, -1, -1, 1, 0, 0, 0, -1, -1, -1, 1, 4, -1, 2, 0, 1, -1, -1, 2, 1, 0, -1, 1, 0, -2, 0, -1, 0, -1, 0, 0, -1, 1, -1, 4, -1, 0, 1, 1, -1, -1, 0, 1, 0, -1, -2, 1, -1, -1, 0, 1, 0, -1, -1, 1, 2, -1, 4, 1, 1, 0, 1, 1, 1, 0, 0, 2, -1, -2, 0, 1, -1, -1, 1, -1, 0, -2, 0, 0, 1, 4, 0, 0, 0, -1, 2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -2, -2, 2, 1, 1, 1, 0, 4, 0, -1, 1, 0, 0, 0, 1, -2, -2, 1, -1, -1, -1, -1, -1, 0, 0, -1, 1, 0, 0, 0, 4, 0, 0, 1, -1, 2, -1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, -1, 0, 4, -1, 0, -1, 1, 1, 0, 0, 0, 2, 0, 0, -2, -1, 0, 1, 2, -1, 1, -1, 1, 0, -1, 4, 1, 0, -1, 0, 1, -1, 1, -1, -1, -2, -1, -1, 0, -1, 1, 0, 1, 2, 0, 1, 0, 1, 4, -1, 1, 0, 0, -1, 1, 0, 0, 0, -1, 1, 1, 1, 0, 1, 0, 0, 0, -1, -1, 0, -1, 4, -2, 1, 0, 1, -1, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 2, 1, -1, 1, -2, 4, -1, -1, -1, 1, 1, -1, 1, 0, -1, 0, 1, 1, -1, 2, 1, 1, -1, 1, 0, 0, 1, -1, 4, 0, -1, 0, 1, 0, 0, -1, 2, 2, -1, 0, -2, -1, -1, -2, -1, 0, 1, 0, 0, -1, 0, 4, 1, 0, 0, 1, 0, 0, 2, 2, -1, -2, 1, -2, 0, -2, 0, 0, -1, -1, 1, -1, -1, 1, 4, -1, 0, 1, 1, -1, -1, 0, 1, 0, -1, 0, 0, 1, 1, 0, 1, 1, -1, 1, 0, 0, -1, 4, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, 0, 2, -1, 0, 0, 1, 1, 0, 0, 0, 4, 1, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 1, -1, 0, 1, 1, 0, 1, 4, 0, 1, 1, 1, 0, -1, 1, -1, 0, -1, 1, 0, -2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, 2, 0, -1, 1, -1, -1, -2, 0, 1, 2, -2, 0, 2, 2, 1, -2, -1, 0, 0, 4, -1, 1, -1, 2, 2, 1, 0, 0, 1, 1, -1, -1, 1, 1, 0, -1, -1, 1, -2, 0, 1, -1, 4, 1, 0, -2, 0, 0, 1, 1, -2, -2, 0, 2, -2, -1, -1, 0, 1, -2, 1, 1, 1, 1, 1, 4, 0, 1, 2, 1, 0, 1, -1, 0, 1, 0, 1, 0, 0, -1, -1, -1, 0, 1, 2, -1, 0, 0, 4, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 2, 0, 0, 1, 1, 0, 2, -2, 1, 0, 4, 2, 1, 0, -1, 1, 1, 1, -2, 1, 1, 0, -1, -2, 1, -2, 0, -1, 2, 0, 2, -1, 2, 4, 1, 0, 0, 0, 0, 0, -2, 1, 0, -1, -2, -2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 4, 1, 1, 1, -1, 1, -1, 0, 1, 2, 1, 0, 1, -2, 1, -1, 0, 1, 0, 0, 0, 0, 1, 4, 1, 1, -2, 1, 0, 1, 1, -1, 0, -1, 1, -1, 2, -1, 0, 1, 1, 0, -1, 0, 1, 1, 6, 3, 0, 0, -2, 2, -2, 0, 0, 0, 3, 0, 1, -2, 1, -2, -1, 0, 1, 0, 1, 1, 3, 6, 0, 0, -4, 3, 0, 0, 0, -1, 4, -1, 1, 0, 1, -2, 0, 0, 1, 0, -1, -2, 0, 0, 4, 0, -1, 0, -1, 1, 0, 0, 0, -1, -2, 1, -1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 4, -1, 1, 0, 1, 0, 0, 0, -1, 1, 2, -1, 2, 0, 0, -2, -2, -1, 0, -2, -4, -1, -1, 6, -3, 1, 0, 1, 1, -3, 1, 0, -2, 1, -2, 1, -1, 1, 1, 0, 1, 2, 3, 0, 1, -3, 6, 0, -1, -2, -1, 3, -1, 1, 0, 1, -1, 0, -1, 1, 0, 1, 1, -2, 0, -1, 0, 1, 0, 4, 1, 0, -1, 0, -1, 1, 2, 0, -1, 0, 1, 0, -1, 2, -1, 0, 0, 1, 1, 0, -1, 1, 4, 2, 1, 0, -1, 0, 2, -1, 0, -1, 2, -1, -2, 1, 0, 0, 0, 0, 0, 1, -2, 0, 2, 4, 1, 0, 0, 0, 1, -1, 1, -1, 0, -2, -2, 0, -1, 0, -1, 0, 0, 1, -1, -1, 1, 1, 4, -1, 0, 0, -2, 1, -2, -1, 0, 1, 0, 1, 1, 3, 4, 0, 0, -3, 3, 0, 0, 0, -1, 6, 0, 1, -1, -2, 1, 0, 1, -2, 0, -2, -1, 0, -1, -1, -1, 1, -1, -1, -1, 0, 0, 0, 6, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, -2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, -2, -1, -2, 2, -1, 1, 0, 0, -1, 2, -1, -1, 1, -1, -2, 0, 0, -2, 4, -2, -1, -1, 2, 0, 2, -2, 1, -2, 0, -1, 2, -1, 0, 1, -1, 2, 2, -1, -1, 2, -2, 4, 0, 1, -2, 0, -1, 0, 0, 1, -1, 1, -1, 1, 0, -2, 1, -2, -2, 0, 0, 1, -1, 0, 4, 2, -1, 0, 1, 0, 0, 2, -1, 1, 1, 2, 0, 0, 2, -1, -1, 0, 2, 1, -1, 1, 2, 4, -1, 1, 1, 1, 0, 1, -1, 2, -1, 1, -1, -1, 2, 0, -1, -1, 2, -2, 2, -2, -1, -1, 4, 0, 2, -1, 0, -1, 1, 0, 1, -2, -1, 2, -1, 1, 2, -1, -1, -1, 0, 0, 0, 1, 0, 4, 2, 1, -1, 1, 1, 1, -1, -1, 0, -1, 0, 0, 0, 1, 0, -2, 2, -1, 1, 1, 2, 2, 6, -2, -1, 1, -1, 1, 1, -1, -1, 1, 0, 1, 2, -1, 0, 2, -2, 0, 0, 1, -1, 1, -2, 6, 0, 0, 2, -1, -2, -1, 0, 0, 1, 1, -1, 1, 1, -1, 1, 0, 0, 0, 0, -1, -1, 0, 4, -2, 0, -1, 1, 0, 1, 0, 1, 1, 0, -1, 1, 1, -2, 1, 2, 1, -1, 1, 1, 0, -2, 4, 0, 2, 0, 1, 0, 0, 0, -2, -1, 1, 1, 0, 0, -1, -1, -1, 1, 1, -1, 2, 0, 0, 4, -1, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 1, 1, 2, 0, 1, 1, -1, -1, 2, -1, 4, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, 2, -1, 1, -1, 1, -1, 1, -2, 1, 0, 0, 0, 4, 0, 1, 1, 0, 0, 1, -1, 0, 2, -1, 1, 2, 1, -2, -1, -1, -1, 0, 1, -1, 0, 0, 4, 0, -1, 1, -1, -2, 0, 1, -1, 0, 0, 0, -1, -1, 0, -1, 0, 1, 0, 0, -1, 1, 0, 4, -1, 1, 0, -1, 1, 1, -1, 1, -2, 0, -1, 2, -1, 1, 0, 0, 0, 0, 0, 1, -1, -1, 4, -1, 1, 2, 0, 0, 1, -1, 1, 2, 2, -1, 0, 0, 1, 1, 0, -1, 0, 0, 1, 1, -1, 4, 0, -1, 0, 2, -1, 2, -2, -1, 0, 1, 0, 1, 1, 1, -2, 0, -1, 0, -1, 0, 1, 0, 4, 1, -1, 0, -2, 2, -2, -1, -1, 2, 0, 2, -1, 0, -1, 0, 0, 1, -2, -1, 2, -1, 1, 4, 0, -1, 0, -1, 0, 0, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 0, 1, 0, 0, -1, 0, 4, 0, 0, -1, 0, 2, 2, -1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 1, 2, -2, 0, 0, 0, 1, -2, 1, 1, -2, -2, -2, 2, 1, 1, 0, 0, 1, 4, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, -1, 2, -1, 0, 1, 1, 2, 2, 4, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, -1, 2, -1, 0, 1, 1, 1, 0, 0, 4, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, -2, -1, 0, 0, 0, -1, 1, 1, 2, 1, 1, 4, 0, 0, 0, 1, -1, -1, 1, 2, -1, 0, -2, -2, 2, 0, -1, 0, 1, 2, 0, 0, 1, 0, 4, 0, 0, 1, 0, 2, -2, 2, 0, 0, -1, -2, 0, 0, 2, -1, 1, -2, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 1, 0, 3, 2, 0, -1, -2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 4, 1, 1, 1, 0, 1, 0, -1, 1, -1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 4, -1, 1, 1, 2, -1, -1, -1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 4, 1, -1, -1, 0, 0, 2, 1, 0, 1, 1, -1, 0, 1, 0, 0, 0, -1, 2, 0, 1, 1, 1, 4, -2, 1, -1, 0, 1, -1, 0, 0, 2, 0, 1, -2, 1, -1, 1, 1, -2, 2, 0, 1, -1, -2, 6, 2, 0, 0, -1, 1, 0, -1, -2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, -1, 1, 2, 6, -1, 1, -2, -2, 0, 0, 1, 0, 2, 1, 0, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, 4, -1, 0, 0, 0, -1, 0, 1, 0, -2, 1, 0, 0, 0, 0, 3, -1, -1, 0, 0, 0, 1, -1, 6, 1, 0, -2, -1, 0, -1, 2, -2, 0, 0, -2, -2, -1, 2, 1, -1, 2, 1, -1, -2, 0, 1, 6, 2, -1, -1, 1, 1, 1, -2, -1, -1, -1, -2, -2, 0, -1, -1, 1, -1, 1, -2, 0, 0, 2, 4, -1, 0, -1, 0, -1, 2, 2, 2, 0, 2, 0, -1, 0, 1, 0, 0, 0, 0, 0, -2, -1, -1, 4, 0, 0, 1, 0, 1, -1, -1, 0, 0, 0, -2, 0, -1, 1, 0, -1, 0, -1, -1, -1, 0, 0, 4, 0, -1, -1, 1, 0, 0, 0, -1, 2, 0, 1, 1, 1, 2, -2, 1, 0, 0, 1, -1, 0, 0, 4, 1, 1, 0, 1, 1, -1, 0, -1, 0, 1, 1, -1, 0, 0, 0, 1, -1, 1, 0, 1, -1, 1, 4, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, -1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -2, 1, 1, -1, 1, 0, 0, -2, -2, 2, -1, 0, 0, 1, 1, -1, 0, 2, 1, 1, 4, 1, -2, 2, -1, 1, -1, 1, 0, -1, 1, 2, -1, -1, -1, 1, 2, 0, 0, -1, 0, -2, 1, 6, 2, 0, 1, 3, 0, 0, -2, 1, 1, -2, -1, 0, -2, 1, 0, 0, -2, -1, 1, -2, -2, 2, 6, -3, -1, 0, 0, -2, -1, 2, 1, -3, 2, -1, 1, -2, -3, -1, -1, -1, 0, 1, 2, 0, -3, 4, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 1, 2, 1, 0, 0, 1, 1, -1, 1, -1, 1, 4, 1, 2, 0, -1, 0, -1, -1, -1, 1, 0, 1, 0, 0, -1, 1, 2, -1, 1, 3, 0, 0, 1, 4, 1, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0, 2, 1, 4, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, 0, 1, 2, 0, 1, 0, -2, 1, 0, 0, 0, 4, -1, -1, -1, 0, 0, 0, -1, 0, 2, 1, -1, 1, 0, 0, 0, -2, -1, 0, -1, 0, 0, -1, 4, -1, 0, 2, 1, 1, 1, -1, 0, 0, 2, 0, 0, -2, -1, 1, 2, 0, 0, 0, -1, -1, -1, 4, 1, -1, 0, -1, 0, 0, -1, 1, -1, -2, -1, -2, 1, 1, 1, 0, -1, 1, 0, -1, 0, 1, 6, -2, 1, -1, 1, 0, -1, 0, 0, -4, -1, 2, 2, -2, -3, 1, -1, 0, -1, 0, 2, -1, -2, 6, -2, 1, -1, 1, 1, 1, 2, 1, 0, -1, -1, -1, 2, -1, -1, -1, 0, 0, 1, 0, 1, -2, 4, -1, 2, -2, -1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, 1, -1, -1, 1, -1, 4, -1, 0, -1, 2, 1, 1, 1, 0, -1, -2, 1, 0, 0, -1, 1, -1, 1, 0, 1, -1, 2, -1, 4, -1, -1, -1, 1, 0, 1, 1, 1, 1, -2, 1, 1, 0, -1, 0, -1, 0, 0, 1, -2, 0, -1, 4, 1, 0, -1, 0, 0, 1, 2, 0, -3, 2, 0, 0, 0, 2, 0, -1, -1, 1, -1, -1, -1, 1, 4, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 1, -1, 1, 0, 1, 0, 1, -1, 2, -1, 0, 0, 4, 0, 0, 0, 0, 0, -2, -1, 0, -1, 0, 0, -1, 2, -1, 0, 2, 0, 1, 1, -1, 0, 0, 4, 1, 0, 2, -1, -1, -1, 0, 1, 0, 1, 1, 0, -2, -4, 1, 0, 1, 0, 0, 1, 0, 1, 6, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 1, -2, -2, 0, 1, -2, -2, 1, 1, -1, 1, -1, -1, -1, -1, 0, 1, 0, -2, 0, 4, 1, -1, 1, 0, 0, 1, 1, 0, -2, 2, -1, -1, -2, 1, -1, -1, 1, 1, -1, 1, 0, 1, 4, -2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, -2, -1, 2, 1, 0, 1, 1, -1, -2, 4, 0, -1, -1, 0, 0, -1, 0, -1, -1, 1, 1, -2, 2, 1, -2, -1, -1, -2, -2, 1, 1, 0, 4, 1, 0, -1, 2, 2, -1, 1, 1, 0, 0, 1, 0, 1, 0, -1, -1, 1, -2, 0, 1, -1, 1, 4, -1, -1, 1, 1, -1, -1, 0, -1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, -1, 0, -1, 4, -1, 0, -1, 1, 1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 1, 1, 1, 0, 0, -1, -1, -1, 4, -1, -1, 0, 1, -1, 1, 0, 1, 1, -2, -1, 2, 1, -1, -2, 1, 1, 0, 2, 1, 0, -1, 4, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, -1, 1, -2, 0, 1, -1, 2, 1, -1, -1, 2, 4, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, -2, 1, 0, -1, -1, 1, 0, 0, 0, 4, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 2, 2, -1, 1, -1, 1, 1, 0, 0, 0, 4, -1, 0, -1, 1, -1, -1, 1, 1, -1, 0, -1, -1, 0, -1, 1, 0, 0, -1, 1, 2, 0, -1, 4, 1, 0, 1, -1, 1, 0, -1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 1, 0, 0, 1, 0, 1, 4, 0, 1, 1, -1, -2, 1, 0, -1, -1, -2, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 4, 0, 1, 0, -1, -1, 1, 0, -1, 1, 2, -2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 4, 0, -1, 0, 1, 1, 2, -1, -1, -2, 2, 0, 0, -1, 1, 0, 0, 0, -1, -1, 1, 1, 0, 4, 0, -2, 0, 0, 0, -1, -1, -1, 1, 1, 0, 1, -2, 1, 0, 0, -1, 1, -1, 0, -1, 0, 4, 0, -2, 0, 0, 0, 1, 2, -2, 0, 1, 0, -1, 0, 1, 0, 1, 0, -2, -1, 0, -2, 0, 4, 0, 0, 1, 1, 1, 1, -1, -1, 0, -1, 2, -1, 0, 0, 1, -1, 1, -1, 1, 0, -2, 0, 4, 1, 0, 0, -1, 0, -1, -1, 1, 0, 1, -1, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, 1, 4, 0, -2, 1, 1, -2, 1, 2, 1, -1, 1, 1, -1, 0, 0, -1, 0, 2, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 1, 1, 2, 1, -2, 1, -2, 1, 0, 1, 2, 1, 1, 1, -2, 0, 0, -2, 4, 2, -1, 1, 0, -1, -1, -1, 2, -1, 1, -2, 0, 0, 0, 0, -1, -2, 2, 0, 1, -2, 2, 4, 0, 2, -1, 0, -1, -1, 2, -1, 0, -2, -1, -1, -1, 0, -1, -2, 2, -1, 0, 1, -1, 0, 4, 0, 1, 0, -1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 0, -2, -1, -1, 1, 2, 0, 4, 1, 0, 1, 1, 1, 1, 0, -1, -2, -2, -2, 0, 1, -1, 1, -2, 0, 1, 0, -1, 1, 1, 4, -1, 1, 1, 0, 0, 1, -1, 0, 0, 1, 1, 0, -1, 0, -2, 1, 1, -1, 0, 0, 0, -1, 4, 2, -1, 0, 0, -2, 0, 1, 1, -1, 1, 0, 0, -1, 0, 1, 2, -1, -1, -1, 1, 1, 2, 6, 1, -1, 2, -1, 1, 0, 0, 1, 2, 2, 0, -1, 1, 2, 1, -1, -1, 0, 1, 1, -1, 1, 4, -1, 2, 0, 1, -1, -2, -1, 0, 2, 1, -1, -1, 0, -2, 2, 2, 0, 1, 0, 0, -1, -1, 4, -2, 0, -2, -1, -1, -1, 0, -1, -2, 2, 0, 0, 1, -1, -1, 0, 1, 0, 0, 2, 2, -2, 4, 0, 1, -1, -1, -1, 0, 2, 1, -1, 0, 0, -2, 1, 0, 0, 0, 1, -2, -1, 0, 0, 0, 4, 0, 1, 0, 0, -1, 0, -1, 1, 0, 1, 1, -2, -2, -1, -1, -1, 0, 1, 1, -2, 1, 0, 4, 0, 0, 1, -1, 1, 2, -1, 2, 0, 0, 0, -1, -1, -2, 0, 1, 0, -1, -1, -1, 1, 0, 4, 2, 1, 1, -1, 0, -1, 1, 2, 1, 0, -1, -1, -2, 0, 1, 0, -2, -1, -1, 0, 0, 2, 4, 2, 1, -1, 0, -1, 1, 1, 2, 0, -1, 0, -2, 1, -1, 1, -1, -1, -1, 0, 1, 1, 2, 6, 0, 0, 0, -1, 1, 1, 1, 0, 0, -1, 0, 1, 1, 2, 0, 0, 0, -1, -1, 1, 1, 0, 4, -1, 0, 0, 1, 1, 1, -1, -1, 0, 1, 0, 0, 2, 2, -1, 2, 0, 1, -1, -1, 0, -1, 4, 1, -1, 0, 0, 1, -2, -2, 0, -1, -1, 0, 0, 1, -2, 1, -1, 2, 0, 0, 0, 0, 1, 4, -2, 1, -1, -2, 2, 2, 0, 1, 0, -1, -1, -1, 2, -1, 1, -1, -1, -1, -1, 0, -1, -2, 4, 1, 0, 0, 0, -1, -2, -2, -2, 0, 1, -1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 6, 0, 0, 1, 0, -1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 2, 1, 0, -1, -1, 2, 1, -2, 2, 1, 0, -1, 1, 1, -2, -2, 1, 4, 2, 0, -2, 2, 0, 1, 0, -2, 1, 0, -1, 0, 2, -1, 0, 0, 0, 0, -2, 1, 2, 2, 6, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 3, -1, 2, -2, -1, 2, 0, -2, -1, 0, 0, 4, -1, 1, 0, -2, 0, -1, 2, 0, -1, 1, 0, 1, 1, 1, -2, -1, 1, 2, -1, -2, -1, -1, 4, -2, 0, -1, -1, 1, -2, 0, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, -2, 4, 1, 0, 1, -1, 1, 0, 0, 1, 2, 0, -1, -1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 4, 1, -1, -1, 0, 2, 1, -1, 2, 2, 0, -1, 0, 1, -2, -1, 1, 1, 0, -2, -1, 0, 1, 4, -1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 2, 1, -1, -1, 0, 0, 0, 0, -1, 1, -1, -1, 4, 1, -1, 0, 1, 0, -1, -1, -2, 0, -1, 0, 0, 1, -1, -2, 0, -1, 1, -1, -1, 0, 1, 4, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 1, 0, -1, 1, 0, 2, -2, 1, 0, 0, -1, -1, 4, -1, -1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, -1, 4, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 1, -1, -1, -1, 1, 0, 1, 0, 1, 0, -1, 0, 4, -1, -1, 1, -1, 0, 1, 0, -1, -1, -2, 0, 0, 1, -1, 1, -1, 0, 0, 0, 2, -2, -1, 4, 0, -1, -1, 0, 0, 0, 3, 0, 2, 2, 3, 0, -1, 2, 2, 0, -1, -1, 0, 0, -1, 0, 6, 0, 1, -2, -1, 1, -1, -1, 1, -1, -1, 1, 1, 0, 2, 0, -1, 0, 0, 2, 1, -1, 0, 4, 1, 0, 0, 0, -1, 1, 0, 0, 2, 1, 1, -1, 0, -1, -2, 0, 0, 0, -1, -1, 1, 1, 4, 0, -1, 0, 0, 0, -1, 0, -2, 1, 0, -1, -1, -1, 0, -1, 0, 0, 0, 0, -2, 0, 0, 4, 0, -2, 0, 1, 1, 0, -1, -2, 0, 0, 0, 2, -1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 4, 0, 0, -1, 1, 0, 2, -1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -2, 0, 4, 1, -1, -2, -2, 0, 1, 0, 0, -2, -1, 0, 1, 1, -2, -1, 3, -1, -1, 0, 0, 0, 1, 6, -1, -2, 1, -2, 2, 0, 1, -1, -1, 1, 0, 1, 0, -1, 0, -1, 1, 0, 1, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -2, 0, 1, 1, 0, 1, 1, 4, 1, -1, -2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, -1, -2, 0, 0, 2, 1, 1, -2, 1, 4, -2, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, -1, -2, 4, -1, 1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, -1, -2, 0, -1, 4, -2, -1, 0, -1, -2, 0, -1, -1, 1, 0, 1, 1, 1, -1, -2, -1, 1, 1, 2, 0, 1, -2, 4, 0, -1, 1, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, -1, 1, -1, 0, 4, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, -2, 1, 0, -1, 0, 1, 0, 0, 0, 0, -1, 2, 4, 0, 0, 0, -1, 2, 1, 1, 1, -1, 0, 0, 0, 0, 0, 1, 2, -1, 0, -1, 1, 1, 0, 4, 0, 0, 0, 0, -1, 1, 0, -1, 0, 1, 0, 0, 0, 1, 2, 1, 0, -2, 2, 0, 0, 0, 4, -1, 1, 1, -1, 0, 0, -1, 0, 0, 2, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 4, -1, 0, -1, 1, -2, 1, 0, 0, -1, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 1, -1, 4, -1, -1, -1, 0, 0, 0, 1, 1, -1, -2, 1, 1, 0, 1, -1, 0, 1, 2, 0, 1, 0, -1, 4, 0, 2, 0, -1, -1, 1, 1, 1, 1, 1, 0, 0, 0, 1, -1, 0, 1, -1, -1, -1, -1, 0, 4, -1, 1, -1, 0, -1, 0, 1, 1, -1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, -1, 2, -1, 4, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 1, 1, 0, 0, 1, 0, 0, -2, 0, 0, 1, -1, 4, 1, 1, 0, 0, 0, 0, -2, -2, 1, 0, 1, 0, 0, -1, -1, -1, 1, 0, -1, -1, 0, 1, 4, 0, 0, -1, 0, 0, 0, 0, 1, -1, 1, 0, -2, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 4, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, 1, 0, 1, 0, 0, 1, 1, -1, 1, 0, 0, 0, 4, 0, 0, 0, 1, 2, 1, 0, -2, 2, 0, 0, 0, 2, -1, 1, 1, 0, 0, 0, -1, 0, 0, 4, 1, 0, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, 1, 4, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 1, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 2, 2, -2, 1, -1, -2, -1, 0, -1, -1, 0, 0, -2, 0, -1, -2, 1, -1, 0, 2, 4, -2, 0, 0, -1, 0, 0, 0, -1, 1, -2, 0, -1, -1, -2, -1, 0, -2, 0, -1, -1, -2, -2, 4, 0, -1, 0, 0, 0, 2, 0, -1, 2, 0, 0, 1, 0, -1, 0, 0, 0, 1, -1, 2, 0, 0, 4, 0, 0, 2, -2, 0, -1, -1, 0, 0, -1, 1, -1, -1, -2, -1, 2, 1, 1, 2, 0, -1, 0, 4, -2, -1, 1, -2, 1, 1, 1, -1, 2, -1, 0, 1, 0, -1, 0, -1, 0, -2, -1, 0, 0, -2, 4, 1, -1, 1, 1, -1, -1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, -1, 1, 4, -1, -1, -1, -1, -1, 1, -1, 1, 0, -1, -2, 0, 2, 0, 0, -1, 0, 0, -2, 1, -1, -1, 6, 1, 1, 1, 2, -1, 2, 0, 3, 0, 1, 0, -1, -1, 1, -2, 0, 2, 0, -2, 1, -1, 1, 6, 0, 0, 2, 0, 0, 2, -1, -2, 0, 0, 0, 2, 0, -1, -1, 0, -1, 1, 1, -1, 1, 0, 4, -1, 1, 0, 2, 0, 1, 2, 1, 1, -1, -1, 1, 0, 1, -1, -1, 1, -1, -1, 1, 0, -1, 4, 0, 0, 0, -2, 0, 0, 1, 0, -1, 0, -1, -1, -2, 2, 0, 1, -1, -1, 2, 2, 1, 0, 6, -2, 1, 1, 2, 1, -1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 1, 1, -1, 0, 0, 0, -2, 4, -1, -1, 0, -1, -1, 0, 0, 1, 0, 0, -1, 0, -1, 2, 0, -1, 2, 0, 2, 0, 1, -1, 4, 0, 1, 1, 1, 0, -1, 0, 1, 0, -1, 1, 1, -1, 1, 1, 0, 2, 0, -2, 1, -1, 0, 4, -1, -1, -1, 1, 1, 0, 1, -2, -2, 0, -1, 0, 1, 0, 3, -1, 1, 0, 2, 0, 1, -1, 6, 2, 0, 1, 0, 0, 2, 0, -1, -1, -1, 1, 0, -1, 0, -2, 2, 0, 1, -1, 1, -1, 2, 4, 1, 1, -1, -1, 1, -1, 0, 0, -2, 0, 0, -2, 1, 0, 1, 1, -1, -1, 1, -1, 0, 1, 4, 1, -2, 0, 0, -2, -2, 0, -1, -1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 4, -1, 0, 1, 1, 0, 0, 2, 0, 0, 2, -1, 0, -1, -1, 1, 0, -1, 1, 0, -1, -2, -1, 4, 1, 0, -1, -1, 1, 1, -1, 1, 0, -1, 2, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 4, 0, 0, -1, -1, 1, 0, 1, 0, 1, 0, 1, -1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, 1, 1, 1, 0, 1, 1, -1, 1, -2, -1, 1, -1, -1, 0, 0, 1, 1, 4, -2, 0, 0, 1, 1, 0, 0, 1, 0, -1, 0, 1, -1, 0, 0, 1, 0, -1, 1, -1, -1, -2, 4, 0, 0, 1, -2, 1, 1, -1, 0, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 0, 0, 4, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 4, -1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, -1, 1, 1, 1, -1, 4, 0, 1, 0, 0, 0, -1, -1, 1, 1, 0, -1, 2, 1, -1, 0, -1, 1, 1, -2, 2, 1, 0, 4, -1, 1, 0, 1, 0, 1, 2, -1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, -1, 4, -1, 1, 1, 1, -1, 0, 0, -2, -1, -1, -1, -1, 1, 0, 1, 0, 1, 1, 2, 0, 1, -1, 6, -2, -1, 2, 1, 0, -1, -1, -1, -1, -2, -1, -2, 0, 0, 1, -1, 0, 0, 0, 0, 1, -2, 4, 0, -1, -1, 1, -1, 0, 1, 1, 1, 1, 1, -1, 1, 0, 0, 2, 1, 0, 1, 1, -1, 0, 4, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, 2, -1, 0, 4, 1, 0, -1, -1, -1, -2, -1, 0, -1, 0, -1, 0, -1, 0, 0, -1, 1, -1, 1, -1, -1, 1, 4, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, -1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 4, -1, 1, 1, 1, 1, 1, 1, 0, -2, -1, 1, 0, 0, 1, -1, 0, -1, -1, 0, -1, 1, -1, 4, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, -2, -1, 0, 0, -1, 0, 1, 0, 4, 1, 1, 1, 1, 0, 0, 1, 0, -1, 2, 1, -1, 1, -1, -1, 1, 1, -1, 0, 1, -1, 1, 4, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 2, 1, -1, -1, 1, 0, -2, 0, 1, 0, 1, 1, 4, 2, 1, 1, 0, -1, 0, -1, 1, -1, 1, 1, -1, -2, 1, 0, -1, 0, 1, 1, 1, 1, 2, 4, 1, 0, 0, 0, -1, -1, 0, 0, -1, 1, -1, -1, 1, -1, 0, 1, 1, 0, 1, 1, 1, 1, 4, 1, 1, 0, 1, -1, 0, 0, 0, 0, 1, -2, 1, 0, -1, 1, 1, 0, 0, 1, 1, 0, 1, 4, 0, 1, -1, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, -2, 0, -1, 2, -1, -1, -2, 0, 0, -2, 1, -2, -1, -2, -2, -2, 1, -1, 2, 4, -1, -1, -2, 1, 0, 2, 1, 0, -2, 0, 0, -2, 2, -2, -2, 0, -2, -2, 0, 1, 0, -1, 4, 2, 2, -2, -2, 1, 1, 1, 2, 0, 0, 1, -1, 0, 0, 0, 2, 0, 1, -1, 1, -1, 2, 6, -1, -1, -3, 1, -1, -2, -1, 1, -2, 1, -1, -1, 0, -3, -1, 2, 2, -1, -2, -2, 2, -1, 6, -2, 0, 0, 0, 1, 3, 1, 1, 1, -2, 1, 0, 1, 3, 1, 1, 1, 0, 1, -2, -1, -2, 4, 2, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 1, 0, -1, -1, 0, -1, 0, -2, -3, 0, 2, 4, -1, 0, 1, 1, -1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 1, 2, 2, 1, 1, 0, -1, -1, 4, 1, -1, -1, 0, 0, -2, 0, -2, -2, -2, -2, 0, 2, 1, -1, 1, 1, -1, 0, 0, 0, 1, 4, 1, 1, -1, 1, 0, 0, 0, 0, 2, 1, -1, 0, 1, -1, 0, 1, -2, 1, 1, 1, -1, 1, 4, 1, -1, 1, 1, 0, 1, 0, 2, 2, -1, -1, 0, -2, -2, 2, -1, 3, -1, 1, -1, 1, 1, 6, -1, 2, 2, -1, 1, 2, 1, 3, 1, -1, 0, 0, 0, 0, 1, 1, 0, -1, 0, -1, -1, -1, 4, 0, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 1, 0, 1, 1, 2, 0, 4, 0, 0, 0, 1, 0, 2, 0, -1, 0, -2, -2, 1, 1, 1, 0, 0, -2, 0, 1, 2, -1, 0, 4, -1, 1, 1, 1, 2, 1, 0, -1, 1, 2, -1, -1, -2, 1, 0, 0, 0, 0, -1, 1, 0, -1, 4, 0, -1, 0, -1, -2, -1, 0, -2, -2, 0, -1, 1, 1, 1, -2, 0, 1, 1, 1, 0, 1, 0, 4, 1, 2, 2, 0, -1, 0, -1, -2, 0, 0, 0, -1, 0, -2, 0, 0, 2, -1, 1, 1, -1, 1, 4, 0, 1, 1, -1, 0, -2, 0, 0, -3, 1, 1, 1, -2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 6, 3, -2, -1, 0, -2, -2, 2, -1, 3, 0, 0, -2, 1, 2, 3, 1, 2, 2, -1, 2, 1, 3, 6, -1, -1, -1, -2, -2, 0, 2, 1, -1, 0, 0, -1, -1, 1, 0, 0, 1, -2, 0, 1, -2, -1, 6, 1, 1, 1, 0, 1, 2, 1, -1, -1, 2, 0, -1, -1, 0, -1, 0, -1, -1, -1, -1, -1, 1, 4, 0, -1, 1, -1, -1, 1, 0, 1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -2, 2, 0, -1, 1, 1, 1, -2, -2, -1, -1, -2, -1, 2, 1, -1, 1, 0, -2, -1, 4, 0, 1, -2, 1, 0, -2, -2, -1, 0, -1, -1, 0, 0, 2, -1, -1, -1, -1, 1, 0, -2, 0, 4, 1, -2, 0, 2, 0, 1, -1, 1, 1, 1, 2, 0, 0, -2, -1, 0, 1, 0, 2, -2, 1, 1, 6, 1, 2, -1, -1, 0, -2, -1, 3, 1, 2, 1, 2, -1, -2, 2, -3, 1, 1, 2, -2, -2, 1, 6, 0, -1, 0, 1, 1, -3, 0, -1, -1, -1, -1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 4, 0, 1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1, -2, 0, 0, -1, 0, 2, -1, -1, 0, 4, 0, -1, 1, 2, -1, -1, 1, 0, 0, -1, 1, 0, 2, 0, 1, 1, -2, 0, -1, 0, 1, 0, 4, 0, 0, 1, 1, 1, -1, -1, -1, 0, 1, 0, 1, -2, -1, 1, -2, 1, 0, 1, -1, -1, 0, 4, 0, -2, 0, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 1, -1, -1, -2, 1, -1, 1, 0, 0, 4, -1, -1, -1, 0, 0, -1, 2, 2, 0, 2, -1, 0, -2, 0, 1, -1, -3, 0, 2, 1, -2, -1, 6, 0, 0, 0, 1, 0, -1, 1, 0, 1, -1, 0, -2, -1, 1, 3, 0, 0, -1, 1, 0, -1, 0, 6, 3, 1, 1, 1, -1, 0, 1, -1, 0, 1, -1, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, 3, 4, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 2, 2, -1, 0, 1, -1, 1, 0, 0, 1, 1, 4, 0, 1, 0, -1, 0, 0, 1, 1, -2, 0, 0, 1, -1, -1, 0, -1, -1, 0, 1, 1, 0, 0, 4, 0, -1, -1, 1, -1, -1, 1, -1, 2, 0, 2, -1, 0, 0, -1, -1, -1, 0, 1, 0, 1, 0, 4, 0, -1, -1, -1, 1, 0, 2, -1, -2, -1, 1, 0, -1, 0, 1, 2, -1, -1, 0, 0, -1, 0, 4, 1, 0, 0, 0, -1, 1, -1, -1, -2, 1, 0, 1, 1, -1, 2, 1, 0, -1, -1, -1, -1, 1, 4, 0, 2, 0, 0, -1, -1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, -1, 0, 0, 4, -1, 0, 1, 1, -1, 1, -3, 0, -2, 2, 1, 0, 2, 1, -1, 0, 0, -1, -1, 0, 2, -1, 6, 0, 0, 0, 1, 0, 1, 1, 0, 0, -2, 0, -1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 4, 0, -2, 0, 2, 1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, -2, 1, 1, -1, 1, 0, -1, 0, 2, 2, -1, -1, 1, -1, -1, 1, 0, 1, 4, 1, 0, 0, -2, 2, 2, -2, 2, 1, 1, 1, 2, 0, -1, -1, 2, -2, -2, -1, -1, -1, 1, 4, -1, 2, 1, 2, 0, 0, 1, 1, 2, -1, -1, -1, -1, -1, 1, 0, -1, 0, 0, -1, 0, -1, 4, -1, 0, -2, 1, 0, 0, 1, 1, 0, -1, -1, 1, 0, 1, 1, -1, -1, -1, -1, 0, 2, -1, 4, 2, 2, 0, 0, 0, 1, 2, -1, -1, -1, 1, -1, -1, 0, 1, 0, -1, -2, -2, 1, 0, 2, 6, 0, -1, 3, -1, -1, 1, 0, -3, 0, 2, 2, -1, 0, 1, 1, 1, 1, 2, 2, -2, 2, 0, 6, 0, -1, 0, 0, 2, -1, 1, 1, -1, 0, 2, -1, -2, -1, 0, 1, 2, 0, 1, 0, -1, 0, 4, 0, 2, 2, 1, 0, 1, 0, -1, -1, 2, -1, -2, -1, -2, -1, -2, 0, 0, 0, 3, -1, 0, 4, 0, 0, 0, 0, -2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, -1, 0, 2, 0, 4, 2, 0, 0, 1, 0, 0, -1, 2, -1, -2, 1, 0, 0, 1, 1, 1, 1, -1, 0, 2, 0, 2, 4, 1, 0, 0, -1, 0, -1, 2, 1, -2, 0, -1, -1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 4, -1, -1, -1, 0, -1, 1, 0, -1, -1, -1, 0, 1, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 4, 1, 0, 0, 1, -1, 0, 1, 0, 0, 2, 2, -1, -1, -1, -3, 1, 1, -2, 1, 0, -1, 1, 4, 1, -1, -1, 1, -1, -1, 0, -1, 2, 0, -1, -1, -1, 0, 1, 0, 1, 0, -1, -1, 0, 1, 4, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, 1, 1, 2, -1, -1, 1, 0, 0, 0, 0, -1, 0, 4, 1, -1, 0, 1, 1, 1, -1, -1, -1, 0, -1, 2, 0, -1, 1, -1, -1, -1, 1, -1, 0, 1, 4, 0, 0, 0, 0, 2, 1, 2, 1, 1, -1, -1, 2, 2, 0, 2, 2, 1, -1, 1, 0, -1, 0, 6, 0, -4, 0, 0, -1, -2, 0, 1, 0, 0, -1, -1, 1, -1, 1, 0, 0, -1, -1, 0, 0, 0, 4, 0, 0, 0, -1, -2, -1, -1, 1, 1, -2, -2, 0, -2, -2, -1, 1, -1, -1, 1, 0, -4, 0, 6, 1, 0, 1, -1, 0, -1, 0, 1, -1, -1, 1, 1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 1, 4, 1, 0, -1, 0, -1, -1, 1, 0, -2, 1, 0, -1, -1, 0, -1, 1, 1, 2, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -2, 2, -2, 1, -1, -1, 1, 1, -1, 1, 2, -1, 1, 2, 1, 1, -1, -2, 0, -2, 4, 1, 1, -1, 2, -1, 1, 1, -1, 0, 0, 1, -2, 1, -1, -2, 0, -1, 0, 0, 1, 0, 1, 4, 1, -1, 1, -1, 2, 2, -2, -1, 1, 2, -1, -1, 1, 0, 1, -1, -1, -1, -1, -2, 1, 1, 4, -2, 2, -1, 1, 1, 0, -1, 1, -1, -1, -1, 0, -1, -1, -1, 1, 2, 1, 2, -1, -1, -2, 4, -2, 0, -1, -2, 0, 0, 0, 1, 2, 1, -1, 1, 1, 1, -1, 0, -1, -2, 2, 1, 2, -2, 4, 0, 2, 2, -1, 0, 0, -1, -2, 0, 0, -2, -1, -2, 1, 1, 1, 1, -1, -1, -1, 0, 0, 4, 0, 0, 1, 1, -1, -2, 1, 1, 1, -1, 0, 1, 0, -2, 0, -1, 1, 2, 1, -1, 2, 0, 4, 1, -2, 0, 0, 1, -1, 0, 0, -1, 1, -1, -1, -1, -1, -1, 1, 2, 1, -2, 2, 0, 1, 4, -1, 0, 0, -1, -2, -1, 0, 0, 0, -2, 0, 0, 0, 1, -1, -2, 0, 0, -1, 1, -2, -1, 4, 1, -1, -1, 1, -1, 0, 1, 0, 1, 0, 0, 1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 1, 4, -2, 0, -1, -1, -1, 0, -1, 0, 1, -1, 0, -1, 0, 1, 1, 0, 0, -1, 0, 0, -1, -2, 4, -1, 0, 0, 1, 0, -1, 1, 0, 1, 0, 1, 1, 2, -1, 1, -1, -2, 1, -1, -1, 0, -1, 6, 0, 0, 0, 1, 2, -1, -1, -2, -1, 2, -2, -1, -1, 2, -2, 1, -1, -2, 1, -1, 0, 0, 4, 0, 1, 1, 1, 1, -1, 0, 0, -1, 1, -1, -1, 1, 0, 1, 0, -1, -1, -1, 0, 0, 0, 4, -1, -2, 0, 1, 0, -1, 0, 1, -1, 1, 0, -1, 0, 1, 0, 0, 0, -1, 1, 0, 1, -1, 4, 1, 0, 0, 0, -1, 1, 2, -2, 0, -1, 1, -2, -1, -1, 0, 1, 0, 0, 1, 1, -2, 1, 4, 1, 0, -1, 0, 0, 1, 0, 1, -1, 1, -1, 0, 1, 0, 0, -1, -1, 2, 1, 0, 0, 1, 4, 0, -2, -1, -1, 1, -1, -1, -1, 1, -2, 1, -1, -2, 1, 0, 1, -1, 1, 1, 0, 0, 0, 4, -1, -1, 0, -1, 0, -1, 1, -1, 1, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, -1, -2, -1, 4, 2, 1, -2, 0, -1, 2, 0, 1, -2, -1, 0, 0, -1, 1, -2, 0, -1, -1, 0, -1, -1, 2, 6, 0, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, 1, -1, 0, 2, -2, 0, 0, -1, 2, 1, 1, -2, 1, -1, 2, 0, -1, -2, 4, -2, 2, -1, -1, 0, 1, -2, 1, 1, 1, 1, 0, -1, 1, 0, -1, 0, -2, 1, 0, 2, -2, 4, -2, 0, 0, 0, -1, 1, -1, -1, 0, 0, 1, 0, -1, 0, 1, 1, 1, 1, 0, -2, 2, -2, 4, 0, -1, 1, 0, -2, 1, 1, 0, 0, -1, -1, 1, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 4, 0, 1, 1, 1, 1, 1, 0, -2, 1, -1, 1, -1, 0, 0, 1, 1, 1, 1, -1, 0, -1, 0, 4, 0, -1, 2, -2, -1, 1, 1, 1, 2, 1, 0, 2, -1, -1, -2, 0, -1, 0, 0, 1, 1, 0, 4, 0, -1, 2, -1, 1, 0, 0, -2, -1, 1, 0, 1, 0, 0, 2, 0, 1, -1, 0, 1, -1, 0, 4, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 2, -2, 1, -2, 1, 2, -1, 1, 6, -3, 1, -1, 1, 0, 1, -1, 0, 1, -1, 1, 0, 1, -2, 1, -1, 1, 1, -2, 2, 0, -3, 6, 1, -1, -1, -1, -3, -1, 0, -2, 1, -2, 2, 1, 0, 1, -1, 1, 1, -1, -1, 1, 1, 1, 4, -1, -1, -1, -1, 0, -1, -2, -1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, -1, -1, -1, 4, 0, 1, 0, 1, 1, 1, 0, -1, 0, 1, -1, 1, 0, 0, -2, 1, 0, 0, 1, -1, -1, 0, 4, -1, 0, -1, 1, 0, 0, -1, -1, 0, 2, 0, 1, -1, 1, 1, 0, 1, 0, -1, -1, 1, -1, 4, 1, 2, -1, 2, 0, 1, 0, -1, 1, -1, 0, -1, -1, 2, -2, 0, 1, -3, -1, 0, 0, 1, 4, 1, 0, 2, -1, 1, -2, -2, 1, 1, -1, 1, 1, 1, -1, 0, -1, -1, 0, 1, -1, 2, 1, 4, -2, 1, -1, 0, 0, -1, -2, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 1, 1, -1, 0, -2, 4, 1, 1, -1, 0, 1, 1, -1, 1, -1, 0, 2, 0, 0, 1, -2, -2, 1, 0, 2, 2, 1, 1, 4, 0, 1, 0, 0, -1, 0, 1, -1, 0, -1, 1, -1, -1, 1, -1, 0, 0, 0, -1, -1, 1, 0, 4, -1, 1, 1, 2, -2, 1, 0, 1, -1, 0, 1, 1, -2, -1, -1, -1, 1, 1, 0, -1, 1, -1, 6, 0, -1, 0, 1, 1, 0, 1, -2, 0, 0, 0, 2, 1, 0, -1, 0, -2, 0, 0, 0, 1, 0, 6, 1, -1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, -1, -2, -1, 1, 0, 1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, -2, -1, 1, -1, 1, 1, -1, -1, 1, 1, 0, -1, 0, 2, 0, 0, -1, -1, 1, 4, -1, 0, 0, 0, -1, 1, 2, 1, 0, 0, 2, 1, 1, 0, -1, 0, 0, 0, -2, -2, 1, -1, 4, -1, 0, 0, -1, -1, -1, -1, 1, -1, 0, 0, -2, -1, 0, 1, 1, 1, -1, 2, 1, 0, -1, 4, -2, -1, 1, 1, 2, -1, -2, 1, -1, 1, 0, -1, -1, 1, -1, -2, 1, -2, -2, 0, 0, -2, 4, 2, -1, 1, -1, 0, 2, 1, 1, -1, 1, 1, 0, -1, 1, 1, -1, 0, -1, 0, 0, -1, 2, 4, 1, -1, 1, 0, 1, 2, 2, 1, 2, -1, 0, 1, -1, -1, -2, 0, 1, -1, -1, 1, -1, 1, 6, -2, 0, -1, -1, 0, 1, 0, 2, 0, -1, 2, -2, -2, 1, 1, -1, 1, -1, 1, 1, -1, -2, 6, -1, -2, -1, 0, -1, 1, -1, 1, -2, -1, 2, -1, 2, 0, 1, 2, -1, 2, -1, 1, 0, -1, 6, 0, -1, 1, 1, 2, 2, -2, 1, 2, -1, 0, -3, -3, 1, 1, -1, -1, 0, 0, -1, -2, 0, 6, 0, 1, 1, 0, 1, -1, 2, 0, 0, 2, -2, -2, -1, 0, 1, -2, 2, 1, -1, -1, -1, 0, 4, 1, 1, -2, 0, 1, 0, -1, 1, 0, -1, 1, -1, 0, -1, 1, 1, 2, 0, 0, 1, 1, 1, 4, 1, 0, 1, -1, 0, 0, -1, -2, -1, -1, 1, 2, 0, -1, 1, 2, 1, -1, 1, 1, 1, 1, 4, 1, 2, 0, 0, 1, -1, -1, -2, -1, 1, 1, 0, 1, -1, 1, 0, 1, 2, 0, -2, 0, 1, 4, 1, -2, 0, 2, 0, -1, -1, -1, 0, 1, -2, 0, 1, 2, 2, -1, 2, 1, 0, 1, 2, 1, 4, 0, 0, 1, -1, -1, -1, -2, -1, 0, -1, -1, 1, -1, 0, 1, -2, -1, 1, -1, 0, -2, 0, 4, 0, -2, 0, 0, 2, 1, 0, -1, 0, -1, 0, 0, -1, -2, 1, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, -1, 0, 2, 0, 1, 1, -1, 1, 2, -1, 2, 0, -1, 0, 1, 2, 1, -2, 0, 4, 0, 0, -1, 0, 0, 0, 1, -1, 1, -1, -2, 2, -1, 0, 1, -1, -1, 0, -1, 0, 0, 0, 4, 1, 0, 1, 0, 0, 1, -2, 1, -1, -2, -1, 0, 2, 0, -2, -1, -1, -1, 0, 2, 0, 1, 6, -1, 0, -1, -2, -1, 1, -1, -2, 1, 2, -3, -2, -1, -1, -2, -1, -1, 2, -1, -1, 0, -1, 6, 1, -1, -2, 2, -2, 0, 0, 1, 0, -3, -2, 1, -1, -1, -1, -2, 1, 0, 0, 1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 1, -1, -1, 0, 1, 2, -1, 1, -2, 0, 1, 2, 2, -1, 1, -1, -2, -2, -2, 1, 4, 0, -1, -2, 1, 1, 0, -1, 0, 2, -1, 1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, -1, 0, -2, 1, -2, 0, -2, -1, 0, 0, 2, 0, 0, -1, 1, -1, 0, 1, -1, 0, 4, -1, 1, -1, -1, 2, 1, -1, 1, 1, 1, 1, 1, 1, 2, -1, -1, 0, -2, -1, -2, 0, -1, 4, -2, 1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1, 1, -2, 6, -2, -2, 0, 0, -1, 3, 0, 2, -2, -3, 0, -1, -1, 1, 0, 1, 0, 1, 0, -1, 1, -2, 4, 2, -2, 1, 1, -2, 2, -2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, -2, -1, 1, -2, 2, 6, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, -2, 0, 0, 2, -1, 1, 2, 0, 0, -2, 0, 6, -1, -1, -1, -1, 1, 1, 3, -1, 2, -1, -3, -1, -1, -1, 0, -2, 1, -1, 0, 1, 2, -1, 6, -1, 2, 2, 0, 1, -2, 2, 2, 2, 1, 1, 0, 1, 2, 0, -1, 0, -1, 1, 1, -1, -1, 4, 0, 1, -1, 1, 1, 0, -1, 1, -1, 0, 0, -2, -1, -2, 1, 0, 3, -2, 0, -1, 2, 0, 6, 1, 1, -2, -3, 2, -1, 1, 0, 1, 1, 0, 1, -1, 1, 0, 0, 2, 2, -1, 2, 1, 1, 4, 0, 2, 0, 2, 1, 0, -1, 1, -1, 1, 0, 0, 1, -1, 2, -2, 0, 1, 0, -1, 1, 0, 4, 0, -1, 1, 0, 0, 0, -1, -1, 2, 1, 0, 1, 0, -2, 2, 2, 1, 1, 1, -2, 2, 0, 4, 2, 0, 2, 0, -2, 0, -2, 2, 0, 2, 1, 0, -3, 0, 0, 3, -2, 1, -3, 0, -1, 2, 6, 0, 1, -1, -2, 0, -1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 2, 0, 2, 2, 1, 0, 0, 4, 0, 1, 1, 1, 0, 1, -1, 0, 2, 0, -1, 1, 1, 2, 2, -1, -1, 1, 0, 2, 1, 0, 4, 0, -1, 0, -1, -1, 0, -1, -1, 0, -1, 0, 2, -1, 2, 1, 1, 0, 0, 0, -1, 1, 0, 4, 0, 1, 1, -2, 1, 1, -1, -1, 1, 0, -2, -3, 1, -1, 0, -1, 0, -2, -2, 1, -1, 0, 6, 1, 1, -2, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, -1, 0, 0, 1, 0, 1, 1, 4, 0, -2, 0, 0, -2, 0, 1, 0, 0, -1, 0, 0, 1, -1, -1, -2, -1, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, -1, -1, 0, -2, -1, 2, 1, 1, 0, -2, -1, 0, 2, -2, -2, -1, -1, -2, 4, 2, 1, 1, -1, -1, 1, 2, -1, -1, -2, 0, 1, 0, 1, 1, -1, 2, 2, -1, 1, -2, 2, 4, 1, 2, 0, -1, 0, 2, 0, -2, -2, -1, 0, 0, 2, 0, -2, 2, 2, 0, 2, 0, 1, 1, 4, 2, -2, 0, 0, 1, 1, 0, -1, -1, 1, -2, 2, 2, 0, 1, 1, 0, 0, -1, 1, 2, 2, 4, 0, 1, 0, 1, 0, -1, -1, -2, 0, 0, 1, 0, -1, 1, 1, 0, 1, -1, -1, 0, -2, 0, 6, 2, 0, 0, -1, -2, 1, 1, 1, 0, -1, -3, 1, -2, 0, 1, -1, -1, -1, -1, 0, 1, 2, 6, -2, -1, 0, 1, 0, -1, 0, 0, -1, 1, 1, 1, -1, 1, -1, 0, 1, 0, 0, 0, 0, -2, 4, 0, -1, 0, 1, 0, 0, 1, -1, 0, 0, -2, 0, 0, 0, -2, 2, 2, 1, 1, 0, -1, 0, 4, 0, -2, -2, -1, 1, 1, 2, -1, -2, 2, 2, 0, 0, -1, -1, 0, 1, 0, -1, 0, -1, 0, 4, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, 2, -1, -2, 0, -1, -2, 1, 0, -2, 0, 4, 0, 0, -1, 0, -1, 1, 1, 0, -2, -1, 0, 1, -2, -2, -1, -1, 1, 0, 1, -2, 0, 0, 4, 0, -1, 0, -2, 0, 1, -2, -1, 1, -1, 1, 0, -1, -1, -2, 1, -1, 0, -1, 0, 0, 0, 4, 2, -1, 0, -1, 2, -2, 0, -1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, -1, 2, 4, -2, 1, 0, 1, -1, 1, -1, 0, -2, 0, 0, -2, 0, 0, 0, 1, 1, 0, 0, 0, -1, -2, 6, 0, -2, -2, 1, 0, 0, 0, -1, 1, 2, 2, 1, -1, -1, -1, 2, 1, -1, -2, 0, 1, 0, 4, 0, -1, 2, 2, 0, 1, 0, 1, 0, 2, 0, -3, 1, 0, -1, 0, 1, 0, -1, 0, -2, 0, 6, 0, 2, 0, 1, 0, 2, -1, -2, 0, -1, 1, 1, 0, -2, -1, 1, 1, 2, 1, -2, -1, 0, 4, -2, -1, 0, -1, -2, 2, 2, 1, 1, -2, 1, -2, 2, 0, 0, -2, -2, -1, 1, 2, 2, -2, 6, 1, 0, 1, -2, 2, 2, 1, 1, 0, -1, 0, 2, 1, -2, -1, 0, 1, 0, 2, 0, -1, 1, 4, 1, 1, -1, -1, 0, 0, 0, 1, 1, 0, 0, 1, -1, 1, -1, -1, 0, 0, 1, 0, 0, 1, 4, -1, -1, 1, 2, 0, 1, -1, -1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, 0, 0, -2, 1, -1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 2, -1, -1, 0, 4, 0, 0, 2, 0, 0, 0, 1, 0, -1, 1, 1, 0, 0, -2, -2, 2, 2, -1, -1, 0, 0, 0, 4, -2, -1, -1, -1, 0, -1, -2, 0, 0, 0, 2, -2, -1, -1, -1, 0, 2, 0, 0, 0, 0, -2, 4, -1, 2, 1, 0, 0, 1, -1, 0, 0, -1, 2, 1, 0, 0, 0, -1, 0, -1, 1, 2, -1, -1, 6, -2, 1, 1, 1, 1, 2, -1, 0, 1, -1, 0, -1, 3, 0, 1, 0, -1, 0, 0, -1, 2, -2, 4, -1, 0, 0, -1, -2, 0, 0, -2, 1, -1, 0, 0, 0, -2, 0, 1, 0, 0, -1, 1, 1, -1, 4, -1, -1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 1, 0, -1, 4, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, 1, -1, 0, 1, 0, -1, -1, 4, 1, 0, 0, 1, -1, -1, 0, 0, 1, 1, 0, -1, 0, -1, 0, -2, 1, 1, -1, 2, 0, 1, 4, 0, 0, 1, 0, 0, 2, 1, 0, 1, -1, -1, 0, 1, -1, 0, -1, 2, -2, 1, -1, 0, 0, 4, 0, 0, 1, 0, 1, 0, 1, -2, 1, 0, 0, 0, 1, 0, 0, -1, 0, 1, -2, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, -2, -1, 1, 1, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, -2, 1, 0, 0, 2, -1, 1, -2, 0, 0, -1, 0, 1, 0, 0, 4, -1, 1, -1, 0, -1, 1, 0, 0, 0, 0, -2, 2, -1, 1, 1, 0, -1, 0, 0, 1, 0, -1, 4, 0, 0, 0, 0, -2, 0, 0, 0, -2, -1, 1, 0, -1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 4, 1, -1, -1, 0, 0, -1, -1, -2, -1, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 4, -2, 0, 0, 0, 1, 1, 2, -1, 0, 3, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, -2, 4, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, -1, 0, -1, 0, 0, 4, -1, -1, 0, 2, -1, 2, -1, 1, -2, 0, 0, 0, -1, 1, -2, 0, 1, -2, 0, 0, 0, -1, 6, 1, -2, -1, -1, 0, 0, 0, 0, -1, 1, -1, -1, 0, -1, -2, 0, 0, 0, 0, 0, -1, 1, 4, -1, -1, 0, 0, -1, -1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 0, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -1, 1, -2, -1, 0, 2, 0, 0, 0, 1, 0, 2, -1, -1, 2, 1, 2, 0, -1, 2, 4, -2, -1, 2, -2, 1, 0, 1, 0, -1, -1, -1, -1, 1, -2, -1, 0, 0, 2, 0, -2, -2, -2, 4, 2, -1, 2, 1, -1, 0, -1, 0, 0, 0, 1, -2, 1, 0, -1, -1, -1, -1, 0, -1, -1, 2, 4, -2, 1, 2, -2, 0, -2, 0, 0, 0, -1, -1, 2, 0, 1, -2, 1, -2, 0, 1, 2, -1, -2, 4, 0, -1, 1, 1, 1, 0, -1, 0, 1, 1, -2, -1, 0, 0, 0, 1, 0, -2, -2, 2, 1, 0, 4, 0, 0, 0, -1, 1, 1, 0, 1, -2, 1, 0, 0, -1, -2, 0, 1, -1, 1, 1, 2, -1, 0, 6, -3, 0, 0, -2, -1, 0, -1, -1, 0, 0, -2, -1, 0, -2, -2, 0, 0, -1, -2, 1, 0, -3, 4, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 2, 1, 0, 0, 1, 0, 0, -1, 4, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, -2, 1, -1, 0, 1, -1, 4, -1, 0, 0, 0, 1, -2, 1, -1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 1, -2, 0, 1, -1, 4, 0, 0, 1, 1, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 4, -1, -1, 0, 0, 1, 0, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, 2, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 1, -1, 1, 1, -1, 0, 0, 0, 1, -1, 2, 4, 0, 0, -1, 0, 1, -1, 0, 0, 2, 1, -2, -1, 1, -2, -1, 0, 0, 1, 1, 0, 1, 0, 4, -1, 0, 0, 1, 1, 0, 1, -1, -2, 1, 2, -2, 1, 0, -1, 0, -2, 1, 0, 1, 0, -1, 4, 1, 1, 0, -1, -1, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, 1, 4, -2, 0, -1, 0, 1, 2, 0, -1, 1, 0, 0, -2, 0, 1, -1, 0, 0, 0, 0, 0, 1, -2, 6, 0, 2, 1, 0, 1, 0, -1, -2, 0, -1, -1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 4, -1, 1, 0, 2, 2, -1, 1, 0, -2, 0, -1, 0, -1, -1, 1, -1, -1, 1, -1, -1, 2, -1, 6, 0, -1, 0, 0, -1, -2, 1, 0, -2, 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 1, 0, 4, 0, -1, -2, 0, 0, 0, 1, -2, 1, -1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, 1, 1, 1, 1, 1, 1, 1, -2, 2, -1, -1, 1, -1, -2, -2, 1, 1, 1, 4, 0, 2, 1, -1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, -2, -2, 0, -1, 0, -1, 0, 4, 0, 0, -1, -2, -2, 0, 1, -1, 1, 2, 1, 0, 1, -2, 1, 2, 2, -1, -2, 1, 2, 0, 4, 2, -1, 2, 0, 2, 1, -1, 2, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 4, 1, 1, 0, 1, 2, 1, 1, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, 4, 0, 0, -1, 0, 1, 0, -2, -1, -2, -1, 0, -1, 1, -2, 1, 0, 1, 2, -2, 2, 1, 0, 6, 2, 2, 0, -1, 0, -2, 1, -1, -2, 1, -1, -2, 0, 0, 0, 1, 0, -2, 0, 0, 0, 2, 4, 0, -1, -1, -1, -2, 1, 1, -2, 0, -1, -2, 0, 0, 2, 1, 2, 0, 2, 1, -1, 2, 0, 4, 2, 0, 1, 1, 2, -1, 0, 0, 0, -2, -1, 0, 0, 1, 2, 1, 1, 2, 0, 0, -1, 2, 4, 1, 2, 0, 1, 0, 0, 0, -1, -1, 0, -1, 0, 1, 0, -1, -1, 1, 1, -1, -1, 0, 1, 4, -1, 0, 0, -1, 0, 2, 0, 0, -1, 1, 0, 1, 2, 1, 2, 1, 0, 0, -1, 1, 2, -1, 4, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, -2, 0, 2, 1, -1, -2, -2, -2, 1, 0, 0, 0, 6, -1, 1, 1, 0, 1, 2, 2, -1, -1, 2, 2, 1, 0, 0, -1, 1, 1, 2, 1, 0, 0, -1, 6, 0, 0, 0, -1, -3, -1, 0, 0, -1, 1, 0, -1, -2, -2, -1, 1, -1, 0, -1, 0, 1, 0, 6, 0, 0, -2, -2, 2, -1, 2, -1, 0, 1, 0, 0, -1, -2, -2, 0, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 0, 0, 0, 1, 1, -2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, -1, -1, -1, 0, 1, -1, -2, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 1, -1, -2, 1, -1, 4, 2, 1, 1, -1, -2, -2, 2, 0, 0, 1, -2, -2, -2, -1, 0, 0, 2, -3, -2, 0, -1, 2, 6, 1, 0, -2, -2, 0, 2, 0, 0, -2, 0, 0, -1, 0, -1, -1, 2, -1, 2, 0, -1, 1, 1, 6, -1, -1, 1, -1, -1, 0, 0, 1, 0, 0, 0, -1, 1, -1, -1, 0, -1, 0, 0, 1, 0, -1, 4, 0, 1, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 2, 0, 1, -1, -2, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, -1, 0, -1, -1, -2, 0, 1, -2, -1, 1, -1, 1, -1, -1, 0, 2, 0, -2, 4, 2, 1, 1, 1, 1, -1, 2, 2, -1, 0, 2, 2, -1, 0, -1, 0, 1, 0, -1, -1, -2, 2, 4, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, -2, 1, 0, 0, 1, 0, -2, -1, 0, 1, 1, 4, 2, -1, 1, -2, 1, 1, 0, 1, 0, 1, 1, 1, -1, -1, 2, -1, -2, 1, -1, 1, 2, 2, 4, -1, 0, -1, 0, 1, 0, 0, 1, 0, -1, 2, 0, 0, 2, 0, -1, 1, -1, 1, 1, -1, -1, 4, -1, 0, 0, 2, 1, 1, 1, -1, 0, 0, 1, 1, -1, 1, -1, -2, 0, 1, 0, 1, 0, -1, 4, -1, 1, 0, 0, -1, -1, 0, 1, 1, -1, -2, 0, -2, 1, 1, -1, -1, 1, -2, -1, 0, -1, 6, -2, -1, -1, -2, 2, 0, -2, 0, 0, 0, -1, 0, -1, 0, -1, 2, 0, 1, 0, 0, 1, -2, 4, 1, -1, 0, 0, 2, 0, 0, 0, -1, 1, -1, -1, 0, -2, 2, 2, 1, 1, 2, 0, -1, 1, 4, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, -2, -1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 0, 4, 0, -1, -2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, -1, -2, 0, 0, 0, 4, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -2, 2, 2, 0, 1, 1, -1, 2, 0, 1, -1, 0, 4, 1, -2, 0, 0, 1, 1, 1, -2, -1, -1, 2, 0, 1, 0, -1, 0, 0, 2, 0, -2, 0, 1, 4, -1, -1, -1, 0, 1, 0, -1, 0, 1, -1, -2, 1, -1, 0, 1, -2, 0, 0, 1, 0, -2, -1, 4, 0, -1, 0, 0, -1, 0, 1, -1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, -1, 0, -1, 0, 4, 1, 0, 1, -1, 0, 1, 1, -1, 0, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 1, 4, 0, 0, 1, 1, -1, -1, 0, 0, -1, 0, 1, -2, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 4, 0, 2, 0, -1, -1, 1, 1, 2, 2, -1, 0, -1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 4, -1, -1, 1, 0, 0, 0, -1, 0, 1, -2, 0, -1, 1, 0, 1, 1, 0, -1, -1, 1, 2, -1, 4, 1, -1, 2, -1, -2, -2, -1, -1, 1, -1, -1, -2, 1, 0, -2, -1, 0, 0, 1, 0, -1, 1, 6, 0, 0, -1, -1, 1, 1, -2, 1, 0, 0, -1, 0, 0, -1, 0, 1, 1, -1, -1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, 1, -1, -2, 1, 0, -1, -1, 2, -1, 1, -1, 1, 0, 0, -2, -1, 2, 0, 4, -1, -1, 1, 2, 2, 0, -2, 0, -1, 0, 2, -2, -1, 1, -1, 0, 1, 1, 2, 2, 1, -1, 4, 0, 0, 1, 0, -2, 2, 1, -1, -1, -1, 1, 0, 1, -1, -1, 1, 0, -2, 1, 2, -1, 0, 4, -2, 0, -1, -1, 2, -1, -1, -1, 1, 0, 1, 0, 1, 0, -1, -2, -2, 1, -2, 1, 0, -2, 4, -1, 2, 0, 0, 0, 1, 0, -2, 0, -1, 1, -1, 0, 0, 2, 1, -1, 1, 2, 1, 0, -1, 4, 1, 0, -1, 1, -2, 0, 2, -1, -1, 1, -1, 0, 2, 0, 1, 3, -1, 2, 0, -1, 2, 1, 4, 0, 0, 0, -1, 0, -1, 0, -2, 2, -2, 0, 0, 1, 2, 1, -2, 0, -2, -1, 0, 0, 0, 4, -1, 0, 1, 1, -1, 1, -1, 0, 0, 1, 0, 1, 2, -1, 1, -2, 2, 2, 0, -1, 0, -1, 6, -1, 1, 0, -2, 2, 1, 0, -1, 1, -1, -1, -3, 1, 0, 0, 1, -1, 0, 1, 0, 0, -1, 4, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, -1, -1, -1, -1, 1, -2, -1, 1, 1, 1, 6, 0, -2, 0, 2, -2, 2, 3, -2, 1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 1, 0, 1, 0, 4, 1, 0, -1, -1, 0, 1, 1, -1, 0, -1, 2, 2, -1, 1, -2, 2, -1, -1, -2, 0, -2, 1, 6, -3, 1, -1, 1, -1, 2, -1, 0, 2, -1, -2, 1, 0, 0, -1, 0, 1, 2, 0, 0, 0, -3, 4, -1, 1, -1, 0, -1, 0, 0, -1, 1, -1, 0, 1, -1, -1, -2, -1, 1, 0, 2, -1, 1, -1, 4, -2, 1, 0, 0, 0, -2, 1, -1, 1, 1, 0, 1, 1, 2, 0, 0, 0, -2, -1, -1, 1, -2, 4, -1, -1, 0, 1, 1, 1, 1, -1, -1, 1, -1, -1, -2, 0, -1, 1, 2, 0, 1, -1, 1, -1, 4, 1, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, 3, 1, -1, 0, 0, -1, 1, 4, -1, 0, 1, 1, 0, 1, 1, -1, 0, 2, 0, 0, -1, 1, -2, 1, 2, -1, 0, 0, -1, -1, 4, 0, 0, 1, -2, 1, 0, -2, 2, 0, 1, 1, -1, 0, 1, -1, -1, 0, 0, 1, -1, 0, 0, 4, 2, 0, -1, 2, -2, -2, 1, 1, 2, 2, -3, 1, 0, 0, 0, 0, -2, 1, 0, 1, 0, 2, 6, 0, 2, 2, 1, 1, -1, 3, 1, -1, 1, 1, 0, -1, 2, -1, 1, 1, 0, 1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 0, 2, 1, -2, 0, -2, 0, 0, -1, 0, 0, -1, -1, 0, 2, -1, 1, -2, 4, -2, 0, -1, 1, -2, -2, 0, 0, 1, 1, 0, 1, 0, -1, 1, 1, 0, -2, -1, 0, 2, -2, 4, -1, 2, 1, 2, 2, -2, 0, -2, -1, -1, -1, 1, 1, -2, -1, 1, 2, 1, 1, -1, 0, -1, 4, 1, 1, -1, 0, 1, 0, 0, -1, 1, 2, -1, -1, 2, 2, -1, -1, -1, 1, 1, -1, 2, 1, 4, 2, 1, 1, -1, 0, -1, -2, 1, 1, -1, -1, -1, 1, -1, 1, -1, 2, 0, 1, 1, 1, 2, 4, -1, 0, -1, 0, 0, -1, 0, 2, -1, 0, 0, 2, -1, 0, 0, 2, 2, -2, 2, -1, 1, -1, 4, 2, -2, 0, -2, -1, 0, -2, 1, 0, -2, -1, 1, 2, 0, 1, 1, -2, 2, 0, 1, 0, 2, 4, 0, -1, -2, -2, 0, -1, 0, 0, -1, 0, 1, 1, 1, 1, -2, 0, -2, 1, -1, -1, -2, 0, 6, 1, 0, 0, 2, 1, -2, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, 1, 1, 1, 0, 0, 1, 1, -1, -1, 0, 0, 0, -2, 1, -2, 0, -1, 0, -2, -2, 0, 1, 6, 0, 0, 1, 0, 0, 2, 1, -1, -2, 2, -1, 0, 1, -1, -1, -2, -1, -1, -2, 0, 1, 0, 4, 0, -1, 0, 0, 1, -1, 0, -1, -1, -2, 0, 0, -1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 4, 0, -1, -1, 1, 0, 0, 0, -2, 1, -1, 1, -1, 2, 1, 2, -2, -1, 1, 0, 1, -1, 0, 4, -2, 0, 1, 2, -2, -1, 0, 1, 0, 0, 1, -1, -1, -1, 1, 0, -2, 0, 0, 0, -1, -2, 4, 0, -1, -2, 2, 1, 1, 0, 0, -1, 1, -1, -1, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 4, 0, -1, 0, 1, 2, 0, -1, 1, -2, 2, -1, 0, -2, -1, 1, 1, 2, 1, 1, 1, -1, 0, 4, 1, -1, -2, 0, 0, -1, 1, -1, 2, 1, 2, -1, 0, 0, -1, 1, -1, 0, 2, -2, -1, 1, 4, -1, -1, 0, 1, 0, 0, 1, -1, -1, -1, 1, 1, 0, -1, -1, 0, 0, -2, 2, 0, -1, -1, 4, 0, 0, 0, 2, -2, 2, -1, 1, 0, 2, 1, -1, 0, -2, -1, 0, -1, 1, 1, -2, -1, 0, 4, 1, 1, -1, -1, 1, -1, -1, 0, 0, 1, -1, 0, 2, -1, -2, 0, 1, 2, 0, 0, 0, 1, 6, -1, 1, 0, 1, 1, 2, 2, 1, 1, -1, 0, -1, -2, 1, 1, 0, 0, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 0, 0, -1, 1, 1, -1, 2, -2, -1, 0, 1, -2, -2, -1, 2, -1, -1, 0, 2, 4, -2, 2, 0, 1, -2, 2, -1, 0, 2, -1, 0, 0, 1, -1, -2, -2, 0, -2, 0, 0, -2, -2, 6, -3, -1, -2, 3, -1, 0, 2, -1, 1, 2, -2, 1, 3, -1, 0, -3, 3, 2, -2, 1, 2, -3, 6, 1, 3, -1, 1, -2, -2, 2, -1, 0, 0, 1, -3, 1, -1, 0, -3, -2, -1, 0, 0, -1, 1, 4, 2, 0, 0, 1, 0, 0, 1, -1, -1, 0, -1, 2, -1, 1, 0, -1, 0, 0, 1, -2, 3, 2, 6, 1, 2, 1, 0, 1, -1, -2, 1, 2, 0, 2, 0, 2, -1, -1, 0, -1, -2, 3, -1, 0, 1, 6, -1, 2, 2, -1, 0, 1, -1, 1, 2, 2, 2, 0, 3, 1, -1, 1, 2, -1, 1, 0, 2, -1, 4, 1, 0, 1, -2, 0, 0, 2, 1, -1, -1, 0, -1, 0, 0, 1, -1, 0, -2, 1, 1, 2, 1, 6, 0, -1, -1, -1, 1, 1, 0, 2, 0, 3, 1, 1, 1, -1, 0, 2, -2, 0, 0, 2, 0, 0, 4, -1, 0, 0, -1, 1, 3, 0, 0, -1, 1, 2, -1, 2, 2, -1, 2, 0, 1, -1, 1, -1, -1, 4, 0, 0, -1, 1, -1, -2, -1, 1, -2, -1, 0, -2, -1, 1, -1, 1, -1, 0, -2, -1, 0, 0, 4, 1, -1, -2, 0, 1, 0, -1, 0, 0, 1, -1, 0, 2, 0, -1, -2, 1, 0, -1, 0, 0, 1, 4, -1, 0, 1, 0, 0, -3, 0, 1, -1, 0, 0, -2, 0, -1, 1, -1, 0, 1, -1, -1, -1, -1, 4, 0, -1, 1, 1, 2, -1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, -2, 0, 0, 4, 1, -1, -1, 0, -1, 1, -2, -2, -1, 3, -3, -1, 0, 2, 1, 0, 3, -1, 0, 1, -1, 1, 6, 0, 1, -2, 2, 2, 0, -2, -2, -1, 1, 2, 2, 2, -1, 2, 0, -2, 1, 0, 1, -1, 0, 6, 1, 1, 0, 0, 1, -1, -2, 0, -1, -1, 0, 2, -1, 0, 0, -1, 0, 0, 1, -1, 1, 1, 4, 1, 2, 0, 1, 2, 0, -3, 0, 1, 2, 0, 0, 3, -1, 1, -1, -3, 2, 0, -2, 1, 1, 6, -1, -1, 2, -1, -2, 3, -3, 0, -1, 3, -1, 1, 1, -2, 0, 0, -1, -1, 2, 0, 2, -1, 6, 1, 0, -1, 0, 2, -2, -1, -1, 1, 0, 1, 2, -1, 0, 1, 0, 1, 2, 0, 0, -1, 1, 4, -1, 0, 0, -2, -1, 0, 0, -1, 0, 1, -1, 0, 1, -1, 1, -2, 0, 1, 1, 2, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, 1, -2, 2, 0, 1, -1, 2, 2, -2, 1, -1, -1, -1, 1, 1, 1, 1, 4, -1, 2, 1, -2, -1, 1, 2, -1, -1, 0, 1, 0, -1, 0, 0, -1, -2, 1, 1, 2, -1, -1, 4, -2, -1, 1, -1, 2, -2, 0, -1, 0, 0, -2, 1, 0, -1, 1, 2, -1, 1, 1, 1, 2, -2, 4, 2, -1, 1, -1, 1, 0, 1, 1, 1, 1, -2, 1, 0, -2, -2, 2, -1, 0, 2, 1, -1, 2, 4, -2, 2, -2, 2, 0, 2, -1, 2, 2, -1, 2, 0, -1, -1, 1, 1, 0, -2, -2, 1, -1, -2, 4, 0, 0, -2, 0, 0, 1, -1, -1, 1, 0, 1, 0, 1, 0, -2, -1, 1, -1, -1, 1, 2, 0, 4, -2, 0, 1, 2, -1, 1, 2, 0, 1, 1, -1, 0, 1, 0, -1, -2, 1, 2, -1, -2, 0, -2, 6, -2, 1, -2, 1, 0, -2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, -2, 1, 2, -2, 0, -2, 6, -2, 1, -2, 1, 2, -1, 0, 1, -1, -2, 1, 2, 1, 0, -1, 0, 0, 0, 0, 1, 1, -2, 4, 1, 0, 1, 0, 0, 1, 0, -1, 1, 1, 1, -1, 1, -1, -1, 1, 2, 0, 2, -2, 1, 1, 4, 0, 1, 1, -1, 2, 0, -1, -1, 1, 0, -2, -1, 0, 0, 1, -1, 1, -1, 1, -2, 0, 0, 4, -1, -1, -1, 0, 0, -1, 0, 1, -2, -1, 2, 1, 0, 1, 2, -1, 1, 0, 1, 1, 1, -1, 4, 1, -1, 2, 0, -2, -1, 1, 2, 1, 2, 0, -2, 1, 2, -1, 2, -2, 2, 0, 1, -1, 1, 4, -1, 1, 1, -1, -1, 1, 1, 0, -2, -1, 1, -2, -1, 1, 0, 2, -1, 0, -1, -1, -1, -1, 4, -1, 1, 1, 2, -1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, -1, 4, 1, -1, -1, 1, 1, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 4, -1, 0, 1, 1, 0, -1, -1, 1, -2, -1, 0, -1, 0, -1, -1, -1, -1, -2, -1, 1, -1, -1, 4, 1, -2, 0, 0, -1, -2, 2, -2, -1, 1, 0, 1, -2, 1, -1, 0, -1, -1, 2, -1, 0, 1, 4, -1, 0, 0, 1, 1, -1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, -1, 1, 1, -2, -1, 4, 1, 0, 1, 1, 1, -1, 1, -2, 0, 2, 2, 1, 0, -2, 2, 1, 0, 1, 1, 0, 0, 1, 6, 1, 1, 2, 1, 0, 0, -1, -1, 1, 1, -1, -2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, 1, -2, 1, 1, 1, -1, -2, -1, 1, 1, -2, 1, 2, -1, -2, 0, -1, -2, 4, 2, 1, 1, -1, 2, 0, 0, -1, 1, 1, 0, -1, -2, 2, -2, -2, 1, 2, 0, 2, -2, 2, 4, 1, 2, 0, 2, -1, -1, -1, 2, 0, 1, 0, -2, 2, -2, -2, 1, 2, 0, 0, 0, 1, 1, 4, 2, -1, 1, -1, 1, -2, 2, 1, 1, 0, -2, 0, -1, -1, -1, 1, -1, 0, -1, 1, 2, 2, 4, 0, 1, -2, 1, -2, 1, 0, 2, 0, -1, 1, -1, -1, -1, 1, 0, 0, 1, -1, 0, -1, 0, 4, 0, -1, 1, 0, 0, -1, 1, 2, 2, -1, 0, 0, 0, 0, -1, -1, -2, 2, 2, 1, 1, 0, 4, 0, 0, 0, 1, 1, 1, 0, -2, 1, -1, -1, 0, 2, -1, 1, 1, 0, -1, -1, -2, -1, 0, 4, 0, 2, -1, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, -1, 1, 1, 1, 0, 0, 4, 0, 0, 1, 0, 1, 0, -1, -1, 0, 0, 0, -1, 1, 1, -1, -1, -2, -2, 0, 0, 2, 0, 4, -2, -1, -2, 0, 0, -1, 1, 2, 0, 0, 0, 1, -1, 1, 2, 2, 1, 0, 1, -1, 0, -2, 4, 1, 1, 1, -2, 0, -2, -2, 0, 1, 0, -1, -2, 1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 4, 0, -1, 0, 1, -1, -1, 1, 1, 0, 1, -1, 0, 1, 1, 2, 1, 1, -1, 0, -2, 1, 0, 4, 1, 1, 0, 0, -1, -1, 1, -1, -1, 1, -1, 0, 0, 0, 2, 0, -1, 1, 0, 1, -1, 1, 4, 1, -2, 0, 0, -1, 0, 0, -2, 1, -2, -2, -2, -1, 2, -2, 0, 0, 0, -2, 0, 1, 1, 6, 0, 2, 1, 0, -1, 1, -1, -2, 2, 2, 0, 1, -1, 1, 0, -1, -1, 0, 1, 0, -2, 0, 4, -1, -1, 2, 1, 1, 1, 1, -2, -2, -1, -1, 0, -1, 0, -1, 1, -2, -1, 0, 0, 2, -1, 4, 1, -1, -1, 0, -1, 2, -2, -2, -1, -1, 0, -1, 1, 0, 2, -2, -1, -1, 0, 1, -1, 1, 4, -1, -1, 1, 0, -1, 1, 1, -1, -1, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 2, -1, -1, 4, 0, 0, 1, -2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, -1, 1, -1, -1, 0, 4, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, 4, -1, -1, 2, 0, 0, 0, -1, 1, 1, 1, 1, -1, 1, -1, -2, -1, 1, -1, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, 1, -1, -1, 1, 0, -2, -1, -1, -1, 1, 0, 1, 2, 1, -2, 1, 1, -2, 4, -2, 0, 2, 0, 2, 1, -1, 0, 2, 0, 1, 1, 0, -1, 0, -2, -2, 2, -2, -1, 2, -2, 4, -2, -2, -1, -1, -2, 1, -1, -2, 0, -2, -1, 0, 1, 1, 2, 1, -2, 1, 1, -2, 0, -2, 4, 0, -1, 1, 2, 0, 1, 0, 0, 1, 0, -1, -1, -1, -1, 0, 1, 0, -1, -1, 2, -2, 0, 4, 1, 2, 1, 0, 1, 2, 0, 1, 1, -1, -1, -1, -1, -1, 1, -2, -1, 1, 0, -1, -1, 1, 6, -2, 2, 1, -1, 1, -2, 1, 2, -1, 0, -2, -1, -1, 1, -2, -2, -1, 2, -1, 1, 2, -2, 6, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -2, 0, -1, 1, -2, 2, 1, 2, 2, 6, 0, -1, 1, 0, 2, 2, -1, -2, -3, -1, -1, 1, -2, -1, 1, -1, 1, 0, 0, 1, 0, 0, 4, 1, -1, -2, 0, 1, -2, -1, -1, 1, 1, -1, 1, 0, 0, 0, -1, 1, 1, -1, 0, -1, 1, 4, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, 1, 0, -2, 2, -2, 0, 2, 1, 0, 1, -1, 0, 4, 0, 2, 2, -1, 0, -1, -2, -2, 2, -2, 0, -1, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 4, -1, 0, 1, 1, 0, 0, 1, 0, 0, 1, -1, 1, -2, 1, 1, 1, 0, 2, 0, 0, 2, -1, 4, 1, -1, -1, -1, -2, -2, 1, 0, 0, -1, 1, -1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 4, -2, 0, -2, -1, -1, 1, -1, 0, 1, 0, 0, -1, -1, -1, 0, -1, -2, -1, -1, 1, -1, -2, 4, 0, 1, 0, 1, 0, 0, 1, 0, -1, 1, -1, -1, 0, -1, -2, -1, -1, 0, 1, -1, 0, 0, 4, 1, 0, 0, 0, 0, 1, 1, 0, 1, -1, -1, -2, -1, -3, -1, 1, -1, 0, -1, -2, 1, 1, 4, 1, 0, -1, 2, 1, 2, -2, 2, -1, -1, -1, 0, -1, 1, 1, -2, 0, -2, -1, 0, 0, 1, 4, 2, -2, 2, 1, 1, -2, 1, 0, -1, -1, 0, -1, 1, 1, -2, 1, -2, -1, 1, 0, 0, 2, 4, -2, 1, 1, -2, 2, -2, 1, 1, 1, 0, 1, -1, -1, 2, 0, 1, 1, 0, 0, -1, -2, -2, 4, -1, -1, 1, -2, 1, 0, -2, -2, -2, -2, 1, 1, -2, 0, 0, -1, 0, 0, 2, 2, 1, -1, 6, 1, 1, -1, 1, -1, -1, -2, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -2, -1, 0, 2, 1, 1, -1, 0, 0, -2, -1, 1, 1, 0, -1, -1, -2, -2, 4, -2, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 1, 0, 2, 2, -2, 4, -2, 0, -1, -1, 0, 1, 0, 0, 1, -1, 1, -2, 0, 0, 1, -1, -1, -1, 0, -2, 2, -2, 4, 0, 2, 1, 1, -2, -1, -1, 1, 1, -1, 1, 1, 0, 0, 1, 1, 0, 2, 1, -1, 0, 0, 4, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 0, -1, 1, 1, 0, -1, 0, -2, 1, -1, 2, 1, 4, 2, -1, -2, 0, 0, 1, 1, 0, 2, 0, -1, 0, 1, 0, 0, 1, -1, 0, -1, 1, 1, 2, 4, -2, 0, 1, 1, 1, 2, 1, 0, 1, -1, -1, 2, 1, 1, -1, 0, 1, 0, 1, -1, -1, -2, 4, -1, 0, 0, 1, 0, 0, -1, 1, 1, 1, 0, 1, -1, 2, 2, -1, 1, -2, -1, -2, 0, -1, 4, 1, 1, -1, -1, 0, -1, 0, 1, 0, 0, -1, 0, -3, 1, 0, 0, -1, 1, 0, 1, 0, 1, 4, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, -1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 1, 1, 4, -1, 1, 0, 0, 0, -1, 1, 1, 0, -1, -2, -1, 0, 1, 1, -1, 1, 1, 1, -1, 0, -1, 4, 0, 1, -2, 1, 0, 0, 0, 1, 0, 2, 0, 0, -1, 1, 1, 1, 2, 0, -1, 0, 1, 0, 4, 1, -1, 1, -1, -1, 1, 1, 1, -1, 0, -1, 1, -1, -1, 0, 1, 0, 0, 1, 0, 1, 1, 4, -2, 1, 0, -1, 1, 1, 1, 0, -2, 2, -2, 1, 1, 2, 0, -1, -1, 0, 0, -2, -1, -2, 6, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, -1, 4, -1, -1, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, 1, 1, 1, -1, 0, -1, 0, 0, -1, 4, 0, 1, -1, 0, 0, 1, 0, 1, 0, 1, 0, -1, 1, 0, 1, 1, 0, -1, -1, 1, -1, 0, 4, 0, 0, -2, 1, 0, 0, -1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 4, 0, 0, 0, -1, 1, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 1, 1, -1, 1, -1, 0, 0, 4, 1, 1, -1, 0, -1, 0, -1, 0, 1, -1, 0, -1, -1, 0, 1, 1, 0, 1, 0, -2, 0, 1, 4, -1, -2, 2, 0, 2, 0, 1, -1, 2, -3, 0, -2, 2, -1, 0, 1, 1, 0, 1, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 1, -2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, -1, 0, -1, 1, -1, 0, 2, 1, 4, -1, 0, -2, -1, 2, -1, -1, -1, 2, 1, 1, 0, 0, 0, -1, -2, 0, 1, 1, 1, 0, -1, 4, -1, -1, 1, -1, 2, 2, 2, 0, 0, -1, -1, 1, -1, 1, 2, 1, 0, -1, 1, 1, 0, -1, 4, 0, 1, 0, 0, -1, 1, 0, 1, 0, -1, 1, 1, 1, 0, 1, 1, 1, 0, -2, -2, -1, 0, 6, -1, -1, -1, 1, -1, -2, -3, 1, 1, -1, -1, -1, 0, -1, 1, 1, -1, 1, -1, 1, 1, -1, 4, -1, 2, 1, 2, 1, 0, -1, 0, 1, 0, 2, 1, 1, 0, -1, 1, 1, 2, -1, 0, -1, -1, 4, -2, -2, -1, 1, 2, 2, 0, 0, 0, -2, -2, 1, 0, 0, 1, 1, -1, 2, 0, -1, 2, -2, 4, 1, 2, 1, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, -1, 2, -1, 1, 1, -2, 1, 4, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, -1, 1, 0, -1, 2, 1, -1, 2, -1, 2, 0, 4, 0, 0, -1, -2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, -2, 1, 1, 1, 0, 0, 4, 0, 1, 0, 1, -1, 0, -1, 1, 1, 1, 1, 2, 1, 0, 1, -3, 0, 2, -1, -1, 0, 0, 6, 1, 0, 2, 1, 1, 0, 0, -1, -1, 1, 1, 1, -1, 0, 1, -1, 2, -1, -1, -1, 1, 1, 4, 0, 1, -1, -1, -2, 1, 1, 1, 1, 1, 0, -1, -1, 1, 0, 0, 0, 1, -2, 0, 0, 0, 4, -1, 0, -1, -1, -2, -1, 0, 1, 1, 0, 1, 1, -1, 1, 0, 0, 1, 0, 1, 2, 1, -1, 4, -1, 1, 0, 1, 1, -1, 1, -1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -1, 1, -1, 0, -1, 4, 1, 0, -1, 0, 0, 0, 0, -1, 1, 1, -1, 2, -2, 1, 1, 2, 0, 1, -1, -1, 1, 1, 4, 2, 0, 0, 0, 0, -1, -2, 2, 0, 0, 1, -2, 1, 1, 2, -1, 0, -2, -1, 0, 0, 2, 4, 0, 0, 0, -1, 1, 0, 1, 1, -1, 1, 1, 1, -1, 2, 1, 0, 1, -2, 1, -1, 0, 0, 4, 0, 0, 1, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, 4, 2, 0, 0, 1, -1, 1, 1, -1, 0, 0, -1, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 2, 4, -1, 2, 1, 1, 0, -1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 2, 0, 1, -1, -1, 0, 2, 1, 0, -2, -2, 0, 1, 1, 0, -1, 0, -1, 1, -2, 4, 1, -1, 0, -1, 1, 1, 1, -1, -1, -1, 1, 0, 1, -1, 0, 0, 1, 0, 1, 1, -1, 1, 4, -2, 0, 1, 2, 1, 0, -1, -2, 0, -1, 0, 0, 1, 1, 1, 0, -1, 0, -1, 2, -1, -2, 6, -2, 0, 0, 1, -1, 3, 0, 0, 0, -1, -1, 0, 0, -1, -1, 1, -1, 1, 0, 0, 0, -2, 4, 1, 0, 0, 2, -1, 0, 0, 0, 0, 2, 1, 1, -1, 1, 1, -1, 0, 1, -1, 1, 0, 1, 4, 0, 1, 0, 0, 0, -1, -2, -1, 0, 1, 2, 1, 0, -1, -2, 1, -1, 1, 2, 0, 0, 0, 4, 2, -1, 0, -2, 1, 0, 0, 0, 0, 0, -1, -1, 1, 0, -1, -1, 1, 1, 1, 0, 1, 2, 4, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, 2, 0, -1, 0, 4, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 2, -1, -1, 3, -1, 0, 0, 1, 0, 4, 0, 1, 0, -1, -1, 1, -1, 0, -1, 0, -1, 0, 1, -1, -2, 0, 0, 0, -2, -1, 1, 0, 4, -1, 0, -1, 0, -1, -1, 1, -1, -1, 0, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 1, -1, 4, 1, 1, 0, 1, -1, 0, 0, 1, 0, -2, -2, 1, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 4, 2, 1, 0, -2, 0, 1, 0, 1, -1, -2, 0, 0, -1, 0, -1, 0, 1, -1, -1, -1, 1, 2, 4, 0, 1, -1, 0, 1, 0, 1, -1, 0, 1, 0, -1, 2, 0, 0, -1, 1, -1, 0, 0, 1, 0, 4, 1, 0, -1, 2, 1, 1, 1, 1, -1, 1, 0, 1, 1, 0, 1, 0, 1, -1, 1, 0, 1, 1, 4, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, -1, -1, -1, -2, -1, 0, 0, 4, 0, 0, 0, -1, 1, 0, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 4, 0, -2, 0, 0, -1, 1, 0, -1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 2, 1, 0, 0, 4, 0, 1, 1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, -2, 0, 4, 1, 0, -1, 1, 0, -1, -1, -2, 0, -1, -1, -1, 0, 0, 1, 1, 1, 0, -1, 0, 1, 1, 4, 0, 1, 1, -1, 1, 0, 1, -1, 0, 0, 0, 1, -2, -1, -1, 1, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, -2, 1, 0, 0, -2, -1, 0, -2, -1, 1, 2, 2, 0, 1, -1, 0, 0, -2, 4, 2, -1, 2, 2, -2, 1, 1, 2, 2, 0, 2, 1, 1, -2, -1, 1, -2, 0, 0, 0, -2, 2, 4, 0, 1, 1, 0, 0, 0, 2, 1, -1, 1, 0, 1, -1, -2, 0, -2, 0, 0, 1, 1, -1, 0, 4, -2, -1, 2, -2, 1, 0, -2, 1, 0, 0, 1, 0, -1, -2, 0, -2, 0, 2, -1, 2, 1, -2, 4, 1, -1, 1, 1, 1, 1, 0, 1, 1, -1, 0, 0, 1, 0, 1, -1, 0, -2, 2, 1, -1, 1, 4, -2, 1, 0, 1, 2, 1, 2, 1, 0, -2, -1, 1, -1, 0, 1, -1, 1, -2, 0, 2, -1, -2, 4, -1, 0, -1, -2, -1, -1, 0, -1, 1, 0, -1, 1, -1, -1, 1, 0, 1, 0, -2, 1, 1, -1, 4, -1, 0, 1, 0, 0, 0, 1, -1, 0, 2, -1, 0, 1, -2, 0, 1, 0, 1, 1, 0, 0, -1, 4, 0, 0, 0, 2, 1, -1, 0, 0, 0, 0, -1, 0, 1, -2, 2, 2, 0, 1, 1, -1, 0, 0, 4, 0, 0, 1, 0, 1, -1, -2, 0, -2, 0, -1, 1, -1, 2, 1, -2, 1, 2, -2, 1, 0, 0, 4, -1, 1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 0, 0, -1, 1, 0, 1, -1, 0, 0, 0, -1, 4, 1, 1, 0, 0, -1, 0, 1, -1, 1, 0, -2, 2, 1, 0, 1, 2, -1, 0, 2, 1, 1, 1, 4, 2, 0, -2, -2, 0, 0, 0, 1, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 4, 0, -1, 0, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 0, -1, 1, -1, 1, 1, 0, 0, 0, 6, -1, -1, -1, -2, -1, 1, 1, 2, -2, -1, 0, 0, -2, 1, -1, 0, -1, -1, 0, -2, -1, -1, 4, 2, 0, 1, 0, -1, 1, 2, -1, -2, -1, 0, -1, 0, 0, 0, -2, 0, -1, -2, 0, -1, 2, 4, 1, 1, 0, 0, 0, 0, 1, 0, -2, 1, 1, -1, 2, 0, 0, 1, 0, 0, 1, -1, 0, 1, 4, 0, 0, 1, -1, 1, -2, -2, 0, 0, -1, 1, -1, 0, -2, -1, 1, 0, 1, -2, 1, 1, 0, 4, 0, 0, 0, -1, 0, 0, -2, 1, 0, -1, 0, -1, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 0, -1, 1, -1, 1, 0, -1, 0, 1, 1, 1, 1, -1, 0, 1, 0, 0, 4, -1, 0, 0, 1, 2, 0, -1, 1, -2, 1, 1, -1, 0, 0, 1, 1, 1, 0, -1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, 1, 1, -1, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, 2, 1, 1, 0, -1, 0, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 1, -1, 1, 2, -2, 4, -1, -1, 0, 1, 0, 1, 1, 0, 1, 1, 1, -2, 1, -1, 1, 1, -1, 1, 1, -2, 2, -1, 4, 1, 0, -1, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1, 0, 1, 0, 0, 1, 1, 1, -1, 1, 4, -1, 1, 1, -2, -1, -1, 0, -1, -2, 0, 0, 0, -1, 1, 1, -1, 1, -1, 1, 0, 0, -1, 4, 0, -2, 2, -1, 0, 0, -1, 0, -1, -1, 1, -1, 0, 1, 1, 1, 1, 0, 1, -1, 1, 0, 4, -1, 0, -1, 0, 1, 1, 0, -1, 0, -2, 0, 1, 0, -1, 1, 1, -1, 0, 0, 1, -2, -1, 4, -1, 0, 0, -1, 1, -1, 0, 0, 1, 1, 1, -1, 0, -1, -1, 0, 1, 0, -2, 2, 0, -1, 4, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 1, 0, -1, -1, -1, 0, 1, 4, -1, 1, 0, 1, 1, 2, -1, 2, -1, -2, -1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 4, 1, 0, 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 1, -1, 0, 1, 1, 4, 0, 1, -1, 2, -2, 0, -1, -1, 0, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 0, 0, 0, 6, 0, 0, 1, -1, 0, 2, 0, 0, 0, -1, 0, 1, 0, -2, 0, 0, -1, 0, 1, 1, 1, 0, 4, -1, 1, -1, 1, -1, -1, 1, 0, -1, 1, -2, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, -1, 4, -1, 0, 0, 0, 0, -2, 0, 0, -1, 1, -1, 0, -1, 0, 0, 0, 2, 0, 2, 1, 1, -1, 4, -1, 1, -1, -1, 0, 1, 0, 1, -1, 1, 0, 1, -2, 1, 0, -1, -1, -2, -1, -1, 0, -1, 4, -1, 0, 1, 1, 0, 0, -1, 1, 0, -1, -1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, -1, 4, 0, -2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, -1, 0, -1, 2, -1, 0, -1, 0, 0, 4, 0, 0, 1, 0, 1, -1, 0, 1, 1, 0, -1, -1, -2, -1, -1, 0, -1, 0, -1, 1, -2, 0, 4, 1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, -1, 1, 0, 0, 1, -2, 0, 1, 0, 0, 1, 4, -1, 0, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 1, 2, -2, -1, -2, 1, 1, -1, -1, 0, -1, -1, 1, -1, 1, 0, -1, -1, 1, 0, 4, 2, -1, -1, 1, 2, 1, 2, 2, -2, -1, 0, 1, 2, 2, 0, 1, 1, -2, -1, 0, -2, 2, 6, -2, -2, 2, 1, 3, 1, 0, -1, 2, 2, 0, 2, 2, -1, -1, -1, -2, 1, -2, 1, -1, -2, 4, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 1, 1, 1, 1, -1, 0, 2, -1, -2, 0, 4, -2, -1, -2, 0, 1, 1, -1, -1, -2, -1, 0, -1, 0, -1, 0, 0, 1, -2, 1, 2, 0, -2, 4, 2, 2, -1, -1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, -2, -1, 2, 1, 0, -1, 2, 4, 1, 1, 1, 0, -1, 0, 1, 2, 2, 0, 0, 2, -1, 0, -1, -2, 1, 3, 0, -2, 2, 1, 4, 1, 0, -1, 1, 1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 1, 2, 1, 0, 0, -1, 1, 1, 4, 2, -2, -1, 1, 0, 1, 1, -1, 1, 1, -3, -1, 1, 1, 2, 0, 0, 1, -1, 1, 0, 2, 4, -1, -1, 0, 0, 1, 2, -1, 0, 0, -1, 0, 0, -1, -2, -1, -1, 1, 0, 0, -1, -2, -1, 4, 0, -1, -1, -1, -2, 0, -2, 0, 2, 2, -1, -1, -1, 2, 0, -1, 1, -1, 1, -1, -1, 0, 4, 1, 1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 2, -1, -1, 0, 0, 1, 1, 0, -1, 1, 4, -1, 1, 1, -2, 0, -1, -1, 0, 0, -1, 1, 0, 1, -2, 2, 1, 1, 0, 0, -1, 1, -1, 4, 0, 0, 1, 1, 2, 0, -1, -1, -1, 2, 2, 0, -1, 1, 2, 1, 1, 1, -1, 0, 1, 0, 4, 2, 0, 1, 0, -1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, -2, 1, 1, 0, 2, 6, -1, 1, 0, -2, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0, -1, -1, 0, 0, -2, 1, 0, -1, 4, 1, 1, 0, -1, 1, 1, 1, -1, 1, 0, 0, 0, 0, 1, 0, -2, 0, 0, 1, 1, 1, 1, 4, 1, -1, -2, 2, 0, 1, -1, 1, -1, 1, 2, 0, 1, 0, 0, -1, -1, 2, 0, 0, 1, 1, 4, -1, -1, 0, -1, -2, -2, 1, 0, 1, -1, -1, -3, -1, 2, 0, -1, 0, -1, -2, 0, -1, -1, 6, 2, -1, -1, -1, 1, -1, 0, 0, 0, 0, -1, 0, 2, 0, 0, -1, 0, -1, -1, -2, -1, 2, 4, -2, 1, 0, -2, 0, 1, -2, -1, -1, 1, 0, -1, -1, 0, -1, 0, -1, 1, 2, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, -1, -1, 1, -2, 0, 1, -1, -2, 1, -1, 1, -1, 1, 1, 0, 0, -2, 4, -2, 2, 1, 1, 1, 2, -2, 0, 0, -1, 0, 2, -2, 0, 0, 0, -2, 0, 1, 1, 2, -2, 4, -2, -1, -2, -1, -1, 0, -1, 1, 1, 0, -2, 1, 1, 1, 1, 1, -1, -1, 0, -2, 2, -2, 4, 1, 2, 2, 2, -2, 0, 0, -1, 0, 2, -2, 0, 0, -1, -2, 1, 0, 1, 0, 1, -1, 1, 4, -1, 2, 2, -2, 1, 1, -2, -2, 0, -1, 0, -1, 1, -1, -1, 0, 2, -1, 1, -2, 2, -1, 4, 1, 0, 0, -1, -1, 0, 1, 2, 0, -1, 1, -1, -1, 1, 1, 0, -1, 1, -1, 2, 2, 1, 4, 1, -1, 0, 0, -2, 0, 1, -1, 0, 0, 1, -1, -1, 0, 2, -1, 2, -1, 2, 2, 0, 1, 4, -2, 1, 1, -1, -1, 1, -2, 0, 0, 1, -1, -1, 0, 1, 1, -2, 0, -2, -2, 0, -1, -2, 6, 1, -1, 1, 2, -2, 1, -2, -1, -2, 3, 2, -1, -1, -2, 0, -1, 0, 1, -1, 0, 1, 1, 6, 2, -1, 1, 0, 1, 1, -3, 1, 1, -1, 0, 0, 0, 0, 1, 0, 1, -1, 0, 1, -1, 2, 4, 0, 0, -1, 0, 0, 0, 2, 0, -2, -1, 1, 1, -1, 1, -1, -2, 0, -2, -1, 1, -1, 0, 4, 1, -1, 0, -1, 2, 0, 0, 0, -1, 0, -1, 0, 0, 0, -2, 1, 0, -1, 2, 1, 0, 1, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, 2, -2, 2, 0, 2, 1, 1, -2, 0, -1, -1, 0, 4, -1, 1, 0, 0, -2, 0, 2, 0, 1, -2, 1, -2, -1, 0, -1, -2, 1, 1, 0, 0, 0, -1, 4, 0, -1, 0, 2, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, -2, 1, 0, -1, 0, 1, 0, 4, 0, 1, -1, -1, 1, 0, 1, 0, 1, 0, -1, 1, 0, 0, -1, -3, 0, 2, 0, 0, -1, 0, 4, 1, -1, -1, 0, 1, -1, 0, 1, -1, 1, -1, 1, 1, -2, 1, 2, 0, -1, 0, 0, 1, 1, 6, 0, -4, 0, 1, 1, -2, 1, -2, -1, -1, -1, -1, 3, 1, 0, 0, 0, -2, 2, -1, -1, 0, 4, 0, -1, -1, 1, 0, -1, 1, -1, 1, -1, -1, 2, -1, -2, 0, 0, 0, 0, -1, -1, -4, 0, 6, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 2, 0, 1, 0, 0, -1, 1, 4, -1, 0, 1, 0, 1, 2, 0, 2, 1, -1, 0, 1, 0, 0, 0, -1, 0, 1, 1, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 1, 1, 2, 0, -2, 0, -1, -1, 1, 1, 0, 0, -2, -2, -2, -1, 1, -2, 4, -2, -1, 1, -2, -1, -2, 0, 0, -1, 1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, 2, -2, 4, 0, -1, 2, 2, 2, -1, -1, 1, 0, -1, 1, 0, 1, 0, -2, -2, -2, 0, 0, -1, -1, 0, 6, -3, -2, 0, 1, -2, 2, 1, -1, 1, -1, 0, 0, -2, 3, 1, -1, 0, -1, 1, 1, -1, -3, 6, -1, -2, -1, 0, 0, 0, 1, 1, -1, -1, -2, 0, 0, 0, -1, 1, 0, 1, -2, 2, -2, -1, 6, 1, 2, 0, -1, 0, 0, 0, 0, 0, 2, 3, -1, -1, 0, 0, -1, 1, -1, 2, 0, -2, 1, 4, 1, 1, -2, -1, 0, -2, 2, 0, 2, 0, -1, -1, -1, 0, 0, 2, -2, 2, 1, -1, 2, 1, 4, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -2, -2, -1, 0, 0, 0, -1, -2, 0, 0, 1, 0, 4, -1, -1, 1, -1, 0, 0, 0, 1, -1, -1, 2, -1, 1, -2, 0, -1, 2, 0, -1, -2, -1, -1, 4, 2, 0, 2, -2, -1, -1, 0, 2, 1, 1, 1, -1, 0, -1, 1, 1, 0, 0, -1, 0, -1, 2, 4, -1, 1, -1, 0, -1, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 1, 0, -1, 4, 1, 0, -2, 0, 0, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, 0, -2, 0, -1, 2, 1, 1, 4, -1, -2, 0, 0, 2, 1, 0, 1, -2, 1, 1, 1, -1, -1, 0, 2, 0, 0, -2, -1, 0, -1, 4, 0, 1, -1, -2, 0, -1, -1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -2, -2, 0, 4, 0, 0, -2, -1, 0, -1, 2, 0, 0, 1, 0, -2, 2, 2, 1, 0, -1, -1, 0, 0, 1, 0, 4, 1, 0, -1, -1, 0, 0, 0, -1, 0, -2, 0, 3, 0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 4, -1, 0, 2, 1, 0, -2, 0, -2, 3, 0, -1, -1, 0, -1, 2, -1, 0, 2, -2, -2, 0, -1, 6, 2, 0, 1, -2, -2, 1, -2, 1, 0, -1, -1, -2, -1, 1, 0, 0, 1, 0, -1, -1, 0, 2, 4, 1, 1, -1, -2, 0, -2, -1, -1, 0, -1, -2, 2, 1, 1, 0, 0, -1, 0, -1, 2, 0, 1, 6, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, 1, 1, 1, 1, -1, -1, 0, 1, 1, 1, 1, 4, -2, 1, 1, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, -2, 1, 2, 0, 0, -2, -1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, -1, -1, 1, 2, 2, 1, 1, -2, 0, 1, 0, -2, 1, 0, 1, 1, 0, 2, 1, 4, 0, 2, 0, -2, 2, 0, 1, 2, 2, -2, 1, -1, 1, -1, 1, 0, 0, 0, 0, 1, -2, 0, 4, -2, 0, 1, -1, -2, -2, -1, -1, 0, -1, 0, -1, 1, 0, -1, 0, 0, -1, -1, 2, 2, -2, 6, -2, -3, 0, 3, 2, 2, 0, 0, 2, 1, -1, 0, 1, 1, 0, -1, 1, 2, -1, 0, 0, -2, 4, 0, 0, -1, -1, 0, 2, -1, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, -1, -2, 1, -3, 0, 4, 0, -1, -1, -2, -2, 0, -2, 0, -1, 0, -1, -1, -1, 1, -1, -1, 1, 2, -1, 0, 0, 0, 4, 0, 1, 0, 1, -1, 0, -1, 2, -1, 1, -1, 0, 1, 1, 1, 2, 0, -2, 3, -1, -1, 0, 4, 2, 0, -1, 0, 0, 2, -1, 0, 0, 0, 1, 0, 0, 2, 2, 1, -2, 2, -1, -1, 1, 2, 4, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 1, 0, 1, 1, 2, -1, 2, 0, -2, 0, 0, 1, 4, 1, 0, 2, 0, 0, 0, 0, 2, -1, 0, 0, 1, 1, 2, -1, 0, 2, -2, 1, -1, 0, 1, 6, -3, 0, -1, 2, -2, 1, -1, 1, -1, 0, 0, -2, -2, 0, 0, -1, 0, -1, 0, 0, 0, -3, 6, 2, 0, 0, 2, 0, 1, -1, -1, 2, 0, 0, 1, -1, 2, 0, -2, 0, 0, 0, 2, 0, 2, 4, -1, 0, 0, 0, 1, 0, -1, 2, 1, 1, -1, 0, 1, 0, 0, -1, 2, 0, 0, -1, 0, -1, 4, -1, 1, 0, 0, 1, 0, -1, 2, 0, 1, -1, -1, 1, -1, 2, -1, 1, 0, 2, 0, 0, -1, 4, -1, 1, 0, 0, 0, 1, 0, -2, -1, 1, 0, 0, 0, -1, 0, -1, 0, -2, 2, 0, 1, -1, 4, 0, 1, -1, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 4, -1, 1, -1, 1, 1, 0, 0, -1, 1, 0, -1, -1, 0, 1, 2, -1, 1, 1, 0, 0, 1, -1, 4, -1, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 0, 1, 0, -1, 1, -1, 4, -1, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0, 1, 0, -1, -1, -1, 0, 0, 0, -1, 1, -1, 4, 0, 0, 0, 0, -1, 1, -1, -1, 1, 0, 0, 0, 0, 2, 2, -1, 1, 0, 1, 0, 0, 0, 4, 0, 2, 1, -1, 2, 0, -1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 0, 2, 1, 2, 0, 1, -1, 0, 2, 0, -1, 1, 1, 1, 0, -1, 1, 2, -1, 1, 4, 0, 0, -1, 1, -1, 1, -1, -2, 0, 1, 0, 0, 2, -1, -1, -1, 0, 0, 1, -1, 0, 0, 4, -2, 1, 1, 0, 0, -1, -1, -1, 2, 0, 0, -1, 2, -1, 2, 1, 0, 2, -1, 0, 0, -2, 4, 1, -2, 0, 1, 0, 1, 2, -2, 1, 1, 2, -2, 0, -2, -2, -1, -2, 0, 2, -1, 1, 1, 6, -1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, -2, 0, 2, 0, 1, 1, 1, -2, -1, 4, -1, 0, -1, -1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, 1, -1, 2, -1, 0, 0, 2, -1, 4, 0, 2, 1, 0, 1, -1, 0, 0, 2, 2, 0, -1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 4, -1, 1, 2, -1, 1, 2, 0, -2, -1, -1, -1, 1, -1, 1, 1, -1, -1, 0, 1, -1, 2, -1, 4, 1, 0, 1, -1, 0, 1, 2, 1, 0, 0, 1, 1, 0, -1, -2, -1, 1, 1, -1, 1, 1, 1, 4, 2, -2, 0, 2, -1, 0, 1, -1, -1, 1, -2, 1, 0, 0, -1, 2, 2, -1, 0, 2, 0, 2, 4, -1, 2, 2, 1, -1, 0, -1, -1, 1, -1, 0, 2, 1, 2, -2, 2, 1, 1, -1, 1, -2, -1, 6, -1, -1, 0, 2, 1, 2, 1, 1, 3, -2, 0, 0, 0, 1, 2, 0, -1, 1, -1, 0, 2, -1, 4, 0, 2, -2, 0, 0, -1, 0, 1, 1, -1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, -1, 0, 4, -1, 0, -1, -1, -1, 1, -1, 0, 1, 2, -1, 2, 2, -1, 0, 0, 1, -1, 1, 0, 2, -1, 6, -2, 0, -2, -1, -1, 1, 0, 1, -1, 2, -2, 0, 0, 2, -2, 2, 0, -1, 2, -2, 0, -2, 6, 1, 2, 1, 1, 2, -1, 1, -1, -1, 0, 2, -1, 2, -1, 1, 1, 0, 1, 0, -1, 0, 1, 4, 0, -1, 0, 1, 1, 0, -1, 2, -2, 0, 0, 0, -1, 0, -1, -1, 2, 0, -1, -2, 2, 0, 4, 2, 1, 2, 0, -1, 0, 1, -2, -2, 0, -1, -1, 0, -1, -1, 1, -1, -1, -1, 1, -1, 2, 4, 0, 0, 0, 1, 0, 0, -1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, -1, 1, 0, 1, 0, 4, 1, 0, 2, 1, 2, -2, 2, 1, 1, -1, 1, -2, -1, 3, 1, -1, 1, 2, 1, 2, 0, 1, 6, -1, -1, -1, -1, 0, 0, -1, 0, 1, 0, 1, 0, -2, 1, 0, 0, -1, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 1, 0, 1, 0, 1, -1, -1, -1, -1, -2, 1, 1, 1, 0, 1, -1, -1, -1, -2, 0, 6, 0, 3, 2, -1, 2, 0, -2, 2, -2, 0, 1, 2, 1, -2, -1, -1, -2, -1, -2, -3, -2, 0, 6, -3, 2, -2, 0, -2, 2, -1, 0, 3, 1, -1, -2, -2, 1, -2, -1, -2, 1, 1, 1, 3, -3, 6, -1, 1, 0, 1, -1, 2, 0, -3, 1, 2, 1, 1, -2, 1, -1, 1, -2, -2, 0, 2, 2, -1, 4, -1, 2, 0, 0, -1, -2, 2, 0, 0, -1, -2, 1, 0, -2, -2, 0, -1, 1, -1, -2, 1, -1, 4, -1, 2, 0, 0, 1, 0, -1, 1, 1, 1, 1, 2, 1, 2, -1, 1, 0, 2, 0, 0, 2, -1, 4, -1, 0, 1, -1, 1, 0, 0, -1, -2, -1, 0, -1, 0, 0, -2, 1, 0, -2, 1, 0, 2, -1, 4, 0, 0, 0, -1, -1, 0, 2, 0, 0, 2, 1, 1, 0, 1, -1, -2, 2, -1, 0, 0, 0, 0, 4, -1, 1, 0, 0, -1, -1, 0, -1, 1, 1, 0, 1, 1, -1, 2, -1, 2, -1, 0, 1, 0, -1, 4, 1, -1, 1, 1, 0, -1, -1, -1, 0, 1, -1, -1, -1, -2, 0, 0, -2, 1, -1, 0, 1, 1, 4, -1, 1, 0, 0, 0, -1, 0, 1, 1, 0, 1, -1, 0, 3, -3, 2, 0, 1, -1, 0, -1, -1, 6, -1, 0, -2, -2, 3, 0, 0, 1, 0, 2, -2, 1, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, 4, -1, 0, -1, -1, -1, -1, -1, 0, 0, 1, 2, -1, 2, 0, 1, 0, 0, -1, 1, 0, 0, -1, 4, 0, 0, 0, 0, -1, 0, -2, -1, 1, 1, -2, 1, -1, 1, -1, 2, -1, 0, 0, -2, 0, 0, 4, 0, -1, 0, 1, 0, 0, -1, 1, -2, -2, 1, -2, 1, -2, 0, 0, -1, 0, -2, -1, 0, 0, 4, 0, 1, 1, 1, 0, 0, 0, -1, 1, -2, 1, 1, -1, 0, -1, -1, -1, 3, -1, 0, -1, 0, 4, 0, 0, 0, 0, 2, 1, -1, -2, 1, 0, 2, 0, 2, 1, -1, 0, 0, -1, 0, 0, 1, 0, 4, 1, 2, 0, 1, -1, -2, -1, -1, -2, 1, -1, 1, 1, 0, 1, 0, -1, -1, 1, 1, 0, 1, 4, 2, 1, 2, -1, -1, -2, 1, -2, 2, 0, 1, 0, 1, 1, 1, -1, 0, 0, 1, 0, 2, 2, 6, 1, 2, -1, -2, 1, -2, 0, -1, 0, 0, 1, -1, 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 4, 1, -2, -3, 1, -2, -1, 1, -2, 1, 1, -1, 1, 2, 0, -1, -1, 0, 2, 1, 2, 2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -2, 1, -1, 1, 1, 2, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 1, -1, 4, 2, -1, -1, 1, 1, -1, -1, 0, 0, -1, -1, 0, -1, -1, -2, 2, 0, 0, 0, 1, -2, 2, 4, 0, -1, 0, 0, -1, -1, -1, 0, 0, 0, 1, 0, 0, -1, 2, -1, 0, 1, 1, -2, -1, 0, 4, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, 0, 0, -2, 1, -1, -1, 0, 4, -1, -1, 2, 1, 1, 1, 2, 1, 1, -1, 1, 0, -2, 1, 1, -1, -1, -1, 1, 0, 1, -1, 4, 0, 0, 0, 1, 0, -1, -2, 0, -1, 1, -2, 0, 1, 0, 1, 0, 1, 1, 0, 0, -1, 0, 4, -1, 1, -1, 0, 0, -1, -2, -1, 0, 1, 1, 1, 0, 0, 0, 1, -1, -1, 0, 2, 0, -1, 4, 2, 0, -1, 1, 1, 1, 0, 2, -1, -2, 1, -1, 0, -1, 2, -1, -1, 0, 1, 0, 1, 2, 4, 0, -1, 0, 1, 0, -1, 2, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0, 1, 1, -1, 0, 0, 4, 0, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 4, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 1, 2, -1, 0, 1, 0, -1, 0, 4, 1, 0, -1, 0, 1, -1, 1, 0, -1, -2, 0, -1, 0, 0, 1, -2, -1, 1, 1, 0, 0, 1, 4, 0, 1, 0, 1, -1, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, -2, 1, 0, 1, -1, 0, 0, 4, -1, 1, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, -1, -1, 0, -1, -1, 0, -1, 1, -1, 4, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, -1, 4, 0, -1, 0, 0, 1, 0, 1, -2, -1, 0, 0, -2, 1, -1, 0, 0, 0, 1, 1, -1, 0, 0, 4, 0, 0, 0, 0, 0, -1, 2, 2, -1, -2, 0, 1, -2, -1, 0, 0, -1, -1, 0, -1, -1, 0, 4, -1, 0, 1, 1, 0, 0, -1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, -1, 0, 0, 0, -1, 4, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, -1, 0, 1, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 1, 0, 1, 0, 1, 0, 1, 4, 0, 1, 1, 1, -2, -1, 0, 0, -1, 0, 0, 0, -2, 0, 0, 1, 0, 0, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 1, 0, -1, -2, 1, 1, 2, 1, 1, 0, -2, 2, -2, 0, 0, -2, 4, -2, 2, 1, -1, 1, -1, -1, 0, 1, 1, -2, -2, -1, 0, -1, 2, -2, 1, 1, 1, 2, -2, 4, -2, -1, 0, -1, 0, 1, 0, -1, 0, 2, 2, 1, 1, 1, -2, 2, 0, 0, 0, -2, 2, -2, 4, 1, 0, 2, -1, 0, 1, 2, 0, -1, -1, -1, 0, -1, 1, -2, 0, 0, 1, 0, 1, -1, 1, 4, -1, 2, 1, -2, -1, -1, -1, 0, -1, 1, 1, -2, 2, 1, -2, 1, 2, 1, -1, 0, 0, -1, 4, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, 0, -2, -1, -1, -1, 0, -1, 1, -1, 2, 2, 0, 4, 1, 0, -1, 1, 0, 1, -2, 1, 0, -2, 2, -1, 0, 0, 2, 1, -1, 0, -1, 1, 0, 1, 4, 0, -1, -1, 0, 1, 1, 2, -1, 0, 1, 2, -2, -1, 1, 0, -1, 1, 0, -2, 0, 0, 0, 4, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 2, -1, 0, -1, 0, 0, 1, -1, -1, -1, -1, 0, 4, 1, -1, 0, 2, 0, -1, 2, 0, -1, 1, -1, -1, -2, 1, -1, 2, -1, 0, 1, -1, 0, 1, 4, 0, -1, 0, -1, -1, 1, 0, -1, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 4, -1, 0, 0, -1, 0, -1, 0, 0, 1, 0, 1, -2, 2, -1, 0, 1, 1, 1, 1, 0, -1, -1, 4, 0, 1, 0, 0, -1, 1, 0, -1, 0, 2, -2, 2, -1, -1, 0, -2, 1, 0, 2, 0, 0, 0, 6, 1, 0, 3, -1, 2, -1, 0, 0, 1, -1, 1, -1, 1, 0, 1, 2, -1, 0, -1, 0, 1, 1, 4, 0, 0, 1, 1, -1, 0, 1, 1, 0, 1, 0, 1, 1, 0, -1, 0, -1, -1, -1, 0, 0, 0, 4, -1, 0, -1, 0, 0, 1, 0, -1, 1, -1, -2, 0, -2, 0, 0, 2, 1, 0, 0, 3, 0, -1, 4, -1, 1, 1, 0, -1, -2, 2, -2, 1, 2, -2, 2, 1, 0, 0, 0, -1, -1, -1, 1, 0, -1, 6, -1, 2, 1, 1, 2, -2, 2, -2, 1, -1, -1, 2, -1, -1, -1, 0, 1, 2, 1, -1, 1, -1, 6, -3, 1, 0, -2, 1, 0, 0, -2, -1, 0, -2, 2, 1, 1, 0, 0, -1, -1, 0, 1, 2, -3, 6, 1, -1, 0, 1, 0, 0, 1, -1, 0, -1, -1, -1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 1, 4, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, -1, 0, 0, 0, 0, 1, 1, -1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, 1, -1, 1, -1, 1, 1, 0, 1, -1, -2, 1, 1, -1, 0, 1, 2, 1, 4, 1, 2, 1, 1, -1, 0, 1, 1, 2, 1, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 1, 4, -1, -2, 2, -2, -1, -1, -1, 2, -1, 1, -1, 0, 2, 0, -1, -1, -1, -1, -1, 1, 2, -1, 4, 2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 2, 1, -2, 2, 4, -2, 0, 0, 0, 0, 0, 2, 0, 0, -1, -2, 0, 0, 0, 0, 0, 2, -1, 1, 2, -1, -2, 4, 0, 1, 0, 1, 1, -1, -1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, -1, -2, 0, 0, 0, 4, 1, 1, 1, -2, -1, -1, 1, 0, -2, 0, 2, 1, 1, 1, 1, -1, 0, -1, 0, 0, 1, 1, 4, 0, 1, 0, 1, -2, 1, 1, 0, -1, 1, 2, 2, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, 4, 1, -1, 0, -1, 2, 0, -1, 2, 2, 0, 0, 0, 1, -1, 1, -1, 0, 0, 1, 1, 1, 1, 6, -2, 0, -1, 2, -1, 0, -1, 2, -1, 2, -1, 1, 1, 2, 2, 0, 0, 1, -2, 0, -1, -2, 6, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 1, 1, -1, 1, 2, -1, -1, 1, 0, 0, 0, 4, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, -1, -1, -2, -1, -1, 0, 0, 4, -2, 0, 0, 0, -2, 0, -1, -1, 0, 1, 1, -1, 0, 0, 0, 1, 1, 2, 2, 0, 0, -2, 4, -1, 0, 0, 2, -1, 1, 1, 1, -1, 0, 0, 1, -1, 1, 0, 1, 0, -1, 0, -1, 0, -1, 4, 0, 0, -1, 2, 1, 0, 0, -2, 0, 2, -1, -2, 1, -2, 0, -1, 0, 1, -1, 0, 0, 0, 4, 0, -1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, -1, 2, -1, 1, 0, 0, 0, 0, 0, 4, 1, 0, -1, 1, 1, 1, 1, -1, 0, 0, 1, 2, 1, 2, 2, 0, 0, -2, 2, -1, -1, 1, 4, 0, 1, 1, 1, -1, -1, -1, 0, 0, 0, 1, 2, 0, -1, 0, 0, 0, -1, 2, -1, 0, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 2, 0, 2, -1, 0, -1, 1, 1, 0, -1, 1, 0, 4, 1, 1, 1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 1, 0, 0, 1, 1, 0, 1, 4, 0, 2, 1, -1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, -1, 2, 1, 0, 2, -1, 2, -1, -1, 0, -1, -1, 0, -1, 0, 1, -2, -2, -1, 4, 1, 0, 2, -2, -1, 1, -2, 1, 0, 0, -1, -1, 2, 1, 0, -1, 1, -2, 0, 0, 2, 1, 4, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, -1, -1, 1, -2, 1, 0, 0, 0, 0, 0, -1, 4, -1, 1, -2, 1, 1, 1, -1, 1, -2, -1, 0, 2, -2, 2, -1, 1, 1, 1, -1, 2, 0, -1, 4, -2, 0, 0, -2, 1, 1, -1, 1, 0, 1, 1, 0, 0, 0, -2, 1, -1, 2, -2, 0, 1, -2, 4, 1, -1, 2, -1, 0, 0, -1, 1, -2, -1, -1, 0, -1, 2, -1, -1, 1, -1, 1, -2, 0, 1, 4, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, -2, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 4, -1, 2, -1, 1, -2, -1, 2, 1, -1, -1, 0, -1, 0, 1, 2, -2, 0, 1, -2, 2, 0, -1, 4, -2, 0, 0, -1, 1, -2, -1, -1, 0, -1, 2, -1, -1, -1, 1, 0, 1, 1, -1, 0, 2, -2, 4, 0, 0, -1, -2, 1, 2, -1, 0, -1, -1, 2, 2, 2, 0, 1, -1, 1, 0, 1, -1, 0, 0, 4, -2, 1, 0, 0, 0, 1, 0, 0, 0, -1, -2, -1, 0, -1, 1, -1, 0, -1, 1, 0, 0, -2, 4, -2, 0, 1, 1, 0, -1, 1, -1, 1, 0, -1, -1, 0, -2, 1, -1, 0, -2, -1, -1, 1, -2, 6, 2, -1, -2, 2, 2, 1, 1, 1, -1, 0, -1, -1, -1, 0, 1, 0, -1, 1, -2, 0, 0, 2, 4, -1, -2, 1, 0, 1, 1, -1, -2, -1, 2, -1, 0, 1, -2, -1, 2, -2, 1, 0, 1, -1, -1, 4, 1, 0, 0, 1, -2, -1, 0, -1, 1, -1, 2, 1, -1, -1, 1, -1, 2, 0, 1, -2, -2, 1, 4, -1, 1, -1, -1, 2, 1, 0, 0, 1, -2, 0, -1, 0, -1, -1, -1, 1, 0, 2, 1, 0, -1, 4, 0, 2, 0, -1, 0, -1, -1, -2, 2, 0, 0, -2, -1, 0, 0, 0, -1, 2, 0, 0, 1, 0, 6, 0, 2, 0, 0, 0, 1, 1, -1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 1, 1, -1, 2, 0, 4, -1, -1, -1, 1, -2, 0, 1, -2, 2, 0, -1, 2, -1, 0, -1, 1, 1, -2, -1, 0, 2, -1, 4, 0, 0, -2, 0, 0, 1, 1, -1, 0, 0, -1, 2, -1, 1, 1, -1, -1, 2, -1, 0, -1, 0, 6, 1, -2, 0, 0, 1, -1, -1, 0, 1, -1, 2, -2, 0, -1, -2, 0, 1, 0, 0, -1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, -1, 1, 1, -1, 1, 1, 2, 1, -1, 1, 0, 1, 1, -1, -1, 1, 1, 4, -1, -2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, -2, 2, -1, 2, 0, -2, 1, 2, -1, -1, 4, 0, 0, 0, -1, 1, -2, -1, -1, 1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, -1, -2, 0, 4, -2, -1, -1, 0, 1, 1, 0, 0, -1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 1, 2, 0, -2, 4, 2, -1, 0, 0, -1, 0, -1, 1, -1, 0, 2, 0, 1, -1, -1, 1, 0, 2, 1, 0, -1, 2, 4, -2, 0, 0, -2, 0, 1, 2, 1, 0, 1, 0, 2, 1, -2, -1, 0, -1, 0, -1, -1, -1, -2, 6, -2, 1, 1, 1, -1, 0, -3, 0, 0, -2, -3, -2, 3, 0, 2, 1, 0, 1, 0, 0, 0, -2, 4, 0, -1, -1, 1, 1, 1, -1, 1, 1, 2, 2, -2, 0, -1, 1, 0, -2, 1, 0, 0, 1, 0, 4, 0, 0, 0, 1, -1, 0, 1, 1, 0, -1, 0, -1, 1, -1, 0, -1, 1, -1, -2, 1, -1, 0, 4, 0, -1, -2, 0, -1, -1, 1, -2, -1, 2, 0, -1, 1, 1, -1, 0, 0, 0, 1, -1, 0, 0, 4, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 2, 1, 0, 1, 0, -1, 1, -1, 1, 0, -1, 0, 4, 0, 2, 0, -1, 0, 2, 1, -2, 0, 0, 2, 1, 0, -1, 1, 2, 0, 1, 1, -2, 0, 0, 4, 0, -1, 2, -1, 1, 1, -1, -1, 2, 1, 0, 1, 1, -1, 1, -3, 1, -1, 0, 0, 2, 0, 4, -1, -1, 0, 2, 2, -2, -1, 0, -1, -2, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, -1, -1, 4, -1, 0, 0, -1, 0, 1, -2, 1, 2, 0, -1, 2, 1, 0, 1, 1, -1, 0, -1, 2, -1, -1, 4, 0, 1, 0, -1, 0, 2, 0, -1, -1, 1, 0, 0, -2, 1, 1, 1, -1, 0, -1, 0, 0, 0, 4, 0, 0, 0, 0, -2, 1, 2, 0, 0, 1, 2, -3, 2, 0, -2, -1, 2, 1, 2, 0, 1, 0, 6, 2, -4, 1, 0, 1, 0, 1, 0, -1, 1, -2, 2, -1, -1, -1, 1, 1, 2, -1, 0, 0, 2, 4, -2, -1, 0, -1, -2, 0, 0, -1, -2, 3, -2, 0, 2, 0, -2, -1, -2, 0, -1, 0, -4, -2, 6, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, -1, -1, 1, 0, 0, 1, -1, 0, 4, -1, 1, 2, 0, -1, 0, 0, 2, -1, 1, -1, 2, 0, 2, 0, -2, 2, -2, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, 1, -1, 0, 1, -1, -2, 1, 2, 2, 1, 2, -1, 2, 2, 1, -2, -1, 1, 2, 4, -2, 1, -1, 0, 0, 0, -1, 0, 2, 2, 1, 0, 2, 0, 1, 2, -1, -1, 0, 0, -2, -2, 4, -1, 0, 1, 1, -1, 1, 1, 0, -2, -1, 0, -1, 1, -2, -2, 0, 1, 0, 1, 0, 1, -1, 4, -2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, -1, 1, 1, -2, 0, -1, -2, 1, -1, 0, -2, 4, -2, -1, -1, 1, -2, 0, -1, 0, 1, -1, 1, 0, -1, 1, -1, -1, 1, -1, 0, 1, 1, -2, 4, 2, 0, 0, 2, 1, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, -1, 2, 4, 0, 1, 1, 0, 0, 1, 1, 0, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 1, -1, 0, 0, 4, -2, -1, -1, 2, 1, -1, 1, -1, 0, 1, 0, 0, 1, 0, -1, -1, 1, 0, 1, 0, 1, -2, 4, 1, 0, -1, 0, 2, -2, 1, 0, -1, 0, 1, -2, -1, -2, 0, 1, 0, -2, 2, 1, -1, 1, 4, 1, 0, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 2, 0, 0, 0, 1, 0, -1, 0, 1, 4, 2, 0, 0, 1, 0, 1, 1, -1, -1, 0, 0, 2, 2, -2, 2, -1, 1, 0, 2, -1, 0, 2, 6, 2, 0, 2, -1, 2, 2, -2, 0, 0, 0, 2, 1, -1, 0, 0, 0, 1, 1, 0, -1, 0, 2, 4, 0, 1, 0, 1, 2, 0, 0, -1, 1, 1, 0, 0, 1, 1, 0, 1, -1, 2, -1, 0, 0, 0, 4, -1, 0, 1, 0, 0, 0, -2, 0, 2, 2, -1, 0, -1, -1, 0, 1, -2, -1, 1, 2, 1, -1, 6, -2, 0, 1, 1, -1, 1, 1, -1, 0, 1, -1, 1, 0, 1, -1, 1, 1, 0, -1, 0, 0, -2, 4, -1, -1, -1, 1, 0, 1, 2, 1, -2, 1, 0, 0, -1, 0, 0, -1, 1, 2, 1, 1, 0, -1, 4, 2, 0, -1, -1, 0, 2, 2, -2, 1, -1, 0, 0, 1, -1, -1, 1, 2, 2, 0, 1, -1, 2, 4, 0, 0, 0, 0, 1, -1, 0, -2, 1, -1, 0, 0, 0, -1, -1, -2, 0, 0, 1, -1, 0, 0, 4, -1, 0, 1, -2, -1, 1, 0, -1, 1, 1, 0, 1, 1, -1, 0, 0, 0, -1, 1, -1, 0, -1, 4, 1, 0, -1, 0, 0, -1, -1, 0, -1, 1, -2, 1, 0, 0, -1, -2, 1, 0, -1, 0, 0, 1, 4, 0, 1, 0, 1, -2, 1, 0, 0, 0, -1, -1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -2, 1, -2, -1, 1, 0, -2, 1, 2, 1, 1, 0, 0, 2, 1, -1, -1, 0, 0, -1, 4, 1, 1, -2, 2, 2, -1, 0, 1, 1, 0, -1, -1, 1, 0, -1, -2, 2, 0, 0, -1, 0, 1, 4, 1, 1, -1, -1, -1, 0, 1, -1, -1, -1, 1, 1, -1, 0, -1, 2, -1, 0, -2, -2, 1, 1, 4, -1, 1, 1, -1, 1, 2, -1, 0, -1, 0, 0, 0, -1, -1, 1, -1, 1, 0, 1, -2, 1, -1, 4, -2, -2, 0, -1, -1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, -1, 0, -2, 2, -1, 1, -2, 4, 1, 0, 0, 1, 0, -1, 0, -2, 0, 1, -1, 0, 1, 1, 0, 1, -1, 2, -1, 1, -2, 1, 4, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 4, 1, 0, 1, 2, 1, 1, 1, -1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, -1, 0, 0, 1, 4, 0, 1, 2, -1, 1, 2, 0, 1, 1, 1, 1, 1, 0, -2, 1, 1, 2, -1, 1, 1, 0, 0, 4, 0, 0, -1, -1, 0, 0, -1, -1, 1, -1, 0, 0, 1, 1, -1, -1, 0, 0, 1, 1, 1, 0, 4, 2, 0, 0, 0, 1, 0, -1, 0, 0, -1, 1, 2, 0, -1, 0, -1, -1, 1, 2, 2, 0, 2, 6, -1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, -1, -1, -1, 1, 0, 0, 1, -1, -1, 0, -1, 4, 1, -1, -1, 0, 1, -1, 0, -1, 2, 1, -1, 1, 0, 1, -2, 0, 1, 1, -1, 0, 1, 1, 4, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, 1, 2, 0, 0, 0, -1, 0, 4, -2, 1, 0, 2, 1, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 1, -1, -1, -2, 4, 0, 0, -1, 0, 0, 1, 2, -1, 0, -1, 0, -1, 0, 2, 1, -1, 0, 1, 0, 1, 1, 0, 4, 1, 0, 0, 1, 0, 1, -2, -1, -1, 0, 0, -2, 1, 1, -1, -1, 0, 1, 0, 0, 0, 1, 4, -1, 1, 1, 1, -1, 2, 2, 1, -1, 1, 1, 0, 1, 1, 0, 0, -1, 0, 2, -1, 0, -1, 4, 0, 0, -1, -1, 0, -1, -1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 4, 1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 0, -1, 2, -1, 1, 0, 0, 1, 1, 0, 1, 4, -1, 0, -1, -2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, -1, 1, 0, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 0, 2, -1, 1, -2, 0, -1, 0, -1, -1, -1, 2, 0, 2, 0, -2, -2, 1, 4, 1, 0, -2, -1, 1, -1, 1, 0, -1, 1, 1, -2, -2, 1, 1, -1, 1, 1, -1, 0, 2, 1, 4, -2, 0, -1, 0, 0, 0, -2, -1, -1, 1, 0, 0, 0, 1, 1, 2, -1, -1, -1, -2, 0, -2, 4, 1, 1, 0, 0, -1, 2, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 2, 1, -1, -2, 0, 1, 4, 1, -1, 1, 0, 0, -1, -1, 1, 2, 2, 1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 4, 1, -1, 1, 1, 1, 0, -1, 1, 1, 1, -1, 0, 0, 0, 1, -1, 2, 1, 0, 0, -1, 1, 4, -2, 1, -1, 1, 1, -1, 0, -2, 0, 2, -1, 1, 1, 0, -2, -1, -1, 0, 0, 1, -1, -2, 4, -2, -1, -1, 0, 0, 1, 2, 1, -1, 0, -1, 0, 1, 2, 1, 1, 0, -1, 0, 1, 1, -2, 4, 1, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, -2, -1, -2, 0, -2, 2, 0, 1, -1, -1, 1, 6, -1, 0, -1, 0, 0, 0, 0, 1, -1, -1, 2, 1, 0, -1, -1, 0, -1, 1, 1, -1, 0, -1, 4, 0, -1, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1, 1, -1, 1, -1, 0, 1, 0, -1, 0, 0, 4, 0, 0, -1, 1, 0, -2, -1, 1, 2, 1, 0, 1, 1, 0, 1, -1, -1, 0, 1, -1, -1, 0, 4, -1, 0, 0, -1, 0, 1, 0, -1, 1, -1, -2, 0, 0, 2, 1, 0, 1, -1, 0, 0, 0, -1, 4, 1, 1, 0, 0, -1, 0, 2, 0, -1, -2, 0, 0, 2, 1, -2, 2, -1, 0, -1, -1, 0, 1, 4, 0, -2, 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, 1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 4, 0, -1, -1, 1, 1, 1, 2, 1, 1, -1, -1, -1, 2, -1, 0, 0, 0, 0, -1, 0, -2, 0, 4, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, -1, 0, 0, 1, 1, -2, 0, 0, 0, -1, 0, 4, 1, -2, 1, 0, 2, 1, 2, 0, 0, 0, 1, -1, 0, -1, 0, -1, 1, -1, 0, -1, 1, 1, 4, -1, -1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 0, 0, 1, 0, -2, -1, 4, 0, 0, -2, -1, -1, 2, 0, 1, 0, 1, -2, 2, 0, 2, -1, 2, 0, 1, 0, 1, -1, 0, 6, 1, -2, 0, -1, 1, 0, -1, -2, 2, -1, 1, -1, 1, 1, 0, 1, 1, -1, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, 0, 1, 1, -1, 2, 1, 1, 0, 1, 0, -2, 1, -1, -1, -1, 1, 4, -1, -2, -1, 2, -1, 1, 2, -1, 0, 1, -1, -1, -1, -1, 1, 0, 1, -2, 1, 0, -1, -1, 4, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, -1, 0, -2, 1, -1, 0, 0, 2, -1, -2, 0, 4, 0, -2, 1, -1, -2, 1, -1, -2, -1, 0, 1, -1, -1, 1, 0, 0, -1, 1, 1, -1, 0, 0, 4, -1, 2, -1, -1, 2, 0, 1, 2, 1, 1, 2, 1, -1, 1, -1, -2, -2, 1, 2, 0, -2, -1, 4, -2, 0, 2, -1, 1, 1, -1, -1, -2, 0, 0, 0, -1, -1, 1, -1, 1, -1, 0, 1, 2, -2, 4, 0, -1, 2, -2, 1, 2, 2, 1, 0, 0, 0, 2, -1, -2, -1, 0, 1, 1, -1, -1, 0, 0, 4, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, 0, 1, 1, 2, 0, -2, -1, 2, -1, 0, 4, -2, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 0, 1, 2, -1, 2, 0, -2, 4, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, -2, -1, -1, 0, -1, -1, 0, 1, -2, 0, 0, 0, 4, -1, 0, -1, 0, 1, 1, 0, -1, 2, 1, -1, 2, 1, 0, -2, 1, 1, 1, 0, 1, 1, -1, 4, 1, 0, -1, 0, 0, -1, 1, -1, 0, -2, 1, -1, 0, -1, 2, -1, 2, 0, -1, 2, 0, 1, 4, 1, 1, 1, 1, -1, 1, 0, -1, -1, 1, -1, 0, 0, 1, -1, 2, -1, 0, 0, -1, 0, 1, 4, 1, 1, 0, 0, 1, 0, -1, 0, 0, -1, -1, 1, 1, -2, 1, -1, 0, 0, 0, -1, 1, 1, 4, 0, 0, 0, 1, 1, 0, -1, 1, -1, 0, -1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 4, 1, -2, 0, 1, -1, -1, 0, 1, -2, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 4, -1, 1, -1, 0, -2, -2, 0, 1, 1, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -2, -1, 4, 0, 0, 1, 1, 1, 1, -1, 0, 1, -1, 2, 0, 1, 1, -1, 1, 1, 1, 1, 0, 1, 0, 4, -1, -1, -1, -1, -2, 0, 0, -1, -1, -1, 1, 0, 0, 2, -1, 0, 0, 1, 1, -1, 0, -1, 6, 1, 0, -1, 1, 0, -1, -2, 1, -2, 0, 1, -2, 1, 0, -1, -1, 0, -1, 0, 1, -1, 1, 4, 0, -1, 0, 2, 1, -2, -1, -1, 1, -1, -1, -1, -2, -1, 0, -1, -1, -2, 1, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, -1, 1, -1, -2, -1, -1, 1, -1, -1, -1, 1, 1, 1, 0, 1, -1, -1, 2, 4, -2, -1, -1, -2, 0, -2, -1, 1, 0, 0, -1, -2, -2, 0, 2, 2, 1, 2, -1, -1, -2, -2, 4, 1, 2, 1, -1, 2, 0, -1, 0, -1, 1, 1, 2, 0, 0, 0, -1, -2, 1, 0, 0, -1, 1, 4, 2, 2, 1, 0, -1, 1, 1, 1, 2, 2, 0, 1, -1, -1, 1, 0, -1, -1, -1, -1, 2, 2, 4, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, -1, -1, 0, -1, -2, 1, 2, 2, 4, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, -1, -2, 1, 0, 0, 0, 1, 0, -1, 1, 1, 0, 4, -1, -1, 1, 0, 1, 1, 0, -1, 1, -1, -1, 0, 1, -2, 1, -1, -2, 2, 0, 1, 0, -1, 6, 0, -2, 0, 1, 1, 1, 3, -2, -1, 2, -1, -4, 1, 0, -2, -1, 0, -1, 0, 0, -1, 0, 6, -1, -1, 0, 0, -1, 0, 0, 1, -2, -1, 1, 0, 1, -1, 1, -1, 1, 1, 0, 1, -2, -1, 6, 1, 0, 1, 1, -2, 0, 0, 1, 3, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 4, 0, 0, 1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, 1, 1, 0, 0, 0, 4, 0, 1, 1, -1, 0, 1, 0, -1, 0, -1, -1, -1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 4, 1, 0, 1, -1, -1, 1, 0, -1, 1, -1, -2, 1, 2, 2, 2, 0, 1, -1, 1, 1, 1, 1, 4, 1, -1, -2, 0, 1, -2, 0, 0, -1, -2, 2, 0, 1, 1, -1, 3, 0, -2, -1, 1, 0, 1, 4, -1, -1, 1, -1, -3, 2, -1, 1, 0, 0, 1, 0, 1, 1, -2, 0, 0, -1, -1, 1, -1, -1, 4, 1, -2, 0, 2, -1, 1, 1, 2, 0, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, -2, -1, 1, 4, 1, 0, 1, 0, 0, 1, 2, 0, -1, 0, -2, -1, 2, -2, 1, -1, 1, -1, 0, 1, -2, 1, 6, 1, -2, 1, -1, 0, 1, -1, 1, 1, 1, 0, -1, -1, 3, 0, 0, 1, 1, -1, 0, 0, 1, 4, 0, -1, 0, 1, 2, -2, 0, -1, 0, 1, -4, 1, 0, 0, -1, 0, -2, -3, 2, 1, -2, 0, 6, -1, 0, -1, -1, 1, -1, -1, 0, -2, 1, 0, -1, 0, 0, -1, 0, 2, -1, 0, 1, -1, -1, 4, -1, -1, -1, 0, -1, 0, 0, 1, 0, 1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, 2, 1, 1, -1, -2, -1, -2, 2, 1, 2, -1, 1, -1, -1, 2, -1, -2, 1, 4, -2, 2, 1, -1, -1, 2, -1, 1, 1, -2, 1, -1, 1, 1, 0, 0, -1, -1, 1, 1, -1, -2, 4, -2, -1, 0, -1, -1, 0, 1, -1, 2, -2, 1, -2, -1, 0, 0, 0, -1, -1, -1, 1, 2, -2, 4, 2, -1, 1, 2, -1, 1, 0, -2, 0, -1, 0, 1, -1, 1, -1, 1, 1, 0, 2, 1, -1, 2, 4, 1, 2, 1, -2, -1, 0, -1, 0, 1, 0, -1, 1, -1, -2, 2, -1, 0, 2, -1, 0, -1, 1, 4, 1, -1, -1, -2, 0, -1, 2, 1, 2, -2, 2, -1, -1, 1, -1, -1, 1, -1, -1, 1, 2, 1, 4, -1, -1, -2, -1, -1, 1, 1, 1, 0, 1, 0, 0, 3, -1, 0, 1, 2, -1, 2, 1, -1, -1, 4, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, -2, -1, -1, 0, 4, -1, 1, 0, -1, 0, -1, 0, 0, 1, 1, 0, 0, -1, -2, 1, 1, 1, -1, -2, -2, 0, -1, 6, -1, 2, -1, -1, -1, 2, -2, 2, -1, -2, 1, 2, -1, 1, -1, 0, 0, 0, -1, 1, 1, -1, 4, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -2, -2, 2, -2, -1, -1, -1, -1, 0, 2, -1, 6, -1, 1, -1, 0, 0, 1, 0, 0, -1, 2, 2, 1, -2, 0, 0, 2, 1, 0, -1, -1, 0, -1, 6, 0, 4, 0, 1, 0, -1, 2, -1, 1, 1, -1, 1, -1, 1, 1, 1, 0, 0, -1, 0, 1, 0, 4, 1, -1, 1, -1, -1, 1, -2, 0, 2, 1, -2, 0, 0, 2, 1, 0, -1, -1, 0, -1, 4, 1, 6, 1, 1, 0, 0, 2, 0, 0, -1, 1, -1, 1, -1, -2, 0, 0, 0, 2, 0, 0, 0, -1, 1, 4, -1, 1, 1, 0, 1, 1, 1, 0, 0, -1, 1, 2, 1, 0, 0, -2, 0, 0, 1, 1, 1, -1, 4, 0, -1, 1, -1, 1, -1, 0, 0, 1, -1, -1, 0, 0, 1, 2, -1, 1, 0, -1, 0, 1, 0, 4, 0, 1, 1, 1, -1, -1, 0, -1, -2, -1, 0, -1, 1, -1, 0, 0, -1, -1, 0, 1, -1, 0, 4, -1, 1, -1, 2, -1, -1, 1, 2, 1, 3, 0, 0, -2, -1, 0, 2, 1, 2, 0, 1, 1, -1, 6, -1, -1, -1, 1, -1, 1, -1, -1, -1, 0, 0, 1, 0, -1, -1, -2, 0, 1, -1, 1, 1, -1, 4, 0, -2, 1, -1, 0, 0, -1, 0, 0, -1, 2, 0, 2, 1, 0, 0, 1, 1, 1, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, -1, 1, 1, -1, -1, -1, -1, 0, -1, 2, -1, 2, -1, 0, 0, 2, 1, -2, 4, 2, 1, 1, 2, 0, -1, 1, 0, 1, 0, 0, 1, 0, 0, -1, -1, 0, -1, -2, -1, -2, 2, 4, 1, 2, 1, -1, -1, 1, 1, 2, 0, 0, 0, -2, 1, -2, 1, -1, 0, -2, -2, 0, 1, 1, 4, 2, -1, -1, 1, 1, -1, -1, -2, 0, 1, 0, 1, 0, -2, -2, -1, 0, -1, -1, 1, 2, 2, 4, -1, -2, 1, 2, -1, 1, 0, 0, 0, -1, 2, -1, -1, -2, 0, -1, -1, -1, 2, 1, -1, -1, 4, 0, -1, 0, 0, 1, 1, 1, 0, 1, 0, -1, 0, 2, 0, -2, 0, 1, 0, -1, -1, -2, 0, 4, -1, -2, 0, -1, 0, -1, 0, 0, -1, 0, 0, 1, 0, 2, 1, 1, -1, -1, 1, 1, -1, -1, 4, 0, -1, 0, 0, -1, 0, 2, 0, 2, -2, 0, 1, 0, 0, -1, 1, 1, 1, 2, 0, -2, 0, 4, -1, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, 0, 0, -1, 0, 1, -1, -1, 0, 0, -1, -1, 4, 0, 1, 0, 0, -2, 0, -1, 1, 1, 1, 0, 0, -1, 1, 2, -1, 1, 1, -1, 0, 0, 0, 4, 1, 0, 0, 0, 0, -1, 1, 0, 0, -2, -2, -1, 0, 0, -2, 0, 1, 0, 0, 0, 1, 1, 4, 0, 0, -1, 1, -1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 4, 1, -1, 1, -1, -1, 0, 1, -2, 1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 4, -1, 1, 0, -1, -1, 1, -1, 0, 2, 0, -2, 0, -1, 1, 0, 2, -1, -2, 0, -1, -1, -1, 6, -2, 2, -1, 1, -1, 0, 0, -1, 0, 1, 1, 2, 0, -1, 0, 1, 0, 0, 1, 1, 1, -2, 4, -1, -1, -1, 1, 0, 1, 2, -1, -2, 0, -1, -1, 0, 2, 0, -1, -1, -1, -1, 0, 2, -1, 4, -1, 0, 0, 1, 1, -1, -1, 1, -2, -1, 0, 0, -2, -1, 1, 1, 1, -1, -1, -1, -1, -1, 6, 0, 0, 0, -1, 0, 0, -1, -2, -2, 2, 1, 0, -1, 1, 0, 1, 0, -1, 1, -1, 0, 0, 4, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 1, 1, 1, -1, 1, 0, 0, 0, 4, 0, 1, 2, -2, -2, 0, -1, -2, 2, 0, 0, 0, -2, 0, -2, -1, 0, 0, 1, 0, 0, 0, 6, 1, 1, -1, -2, -1, -1, 0, 1, 0, 0, 0, -2, 1, 1, 0, 0, 1, 1, -1, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -1, 2, -2, -1, 2, -1, 1, -1, 1, -1, 0, -1, 0, 0, 1, 0, -1, 0, 2, 0, 4, -1, -1, -1, 1, 1, 0, 1, 2, 1, 1, 2, -1, 2, 1, 2, -2, 2, 2, 0, -1, 1, -1, 4, 1, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, -2, -1, 1, 1, -1, -1, -1, 0, -1, -1, 1, 4, 0, 0, 1, -1, 0, -1, -1, 1, 1, 2, -2, -2, -1, 0, 0, 0, -1, -2, 2, -1, 0, 0, 4, -2, 0, 1, -1, 0, 0, 1, -1, -1, -1, -1, -1, 2, -1, -2, -1, 0, -2, 1, 0, 0, -2, 4, -1, -1, 0, 1, 2, -1, 1, 0, 2, 0, 1, -2, 1, 2, 1, -2, -1, 1, -2, 1, 0, -1, 4, -2, 2, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1, 2, 0, 2, -1, 1, -1, -2, 4, -2, 1, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, -1, 2, -1, 1, -2, 0, -1, 0, 2, -2, 4, -1, 0, 1, 1, 0, 2, 1, -1, -1, 0, 1, 0, 0, 1, 2, 0, -1, 0, 1, 0, 1, -1, 4, 1, 0, 1, 0, 1, 1, 2, -1, 2, 1, 0, -1, -1, 1, 0, -1, 0, 2, -1, 0, 0, 1, 4, 0, 1, -1, 2, 1, 1, -1, 0, 1, 0, -1, 1, 1, 0, 1, 1, -1, 1, 1, 1, 0, 0, 4, 1, 0, -1, -1, 0, 0, 0, 0, -1, 1, -1, 2, 0, 1, -1, 1, 1, 0, 1, 1, 1, 1, 4, 0, 1, 0, 1, -2, 1, 1, -1, -1, 0, -1, 2, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, -1, -1, 2, -2, -2, -1, 2, 0, -1, 2, 1, 2, -1, 1, -2, 6, 1, 1, -2, 0, 2, 1, 0, 0, 1, -1, -2, -1, 0, 0, 0, 1, 1, 1, -1, 0, 0, 1, 4, 0, -1, 1, 1, 1, 0, 0, 2, 1, -1, -1, 1, 0, 1, -1, 2, 1, 0, 1, 0, 1, 0, 4, -1, 1, 1, 0, 0, 1, -2, 1, 0, 2, -2, 0, 1, -1, -1, -1, 0, -2, 0, -2, -1, -1, 4, -1, -2, -1, 1, 0, 2, -1, 0, -1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, -1, 4, 1, 0, -1, -1, 2, -1, 0, -2, 2, 0, -1, 1, 1, 1, 0, 1, 0, 2, 1, 1, -2, 1, 4, 2, -1, 0, 0, -1, -1, -1, 1, -1, -1, 0, 0, 0, -1, -1, 0, 1, 1, 0, -1, 0, 2, 4, 0, 2, -1, 0, -2, 0, -2, -1, 2, 0, -1, -1, 1, -1, -1, 0, 0, 0, 1, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, -1, 1, 1, 2, 0, 1, -1, -2, -1, 1, 1, -2, 1, -1, 0, 1, 1, 0, -2, 4, 1, -1, 2, 0, -1, -2, 0, -1, 2, 2, 1, -1, -1, 2, 0, -1, 1, 1, 1, 0, 0, 1, 4, 1, 2, 0, 1, -2, 0, -2, -1, 2, 2, 1, -1, 2, -1, 1, 2, -1, 2, 1, -1, -1, 1, 4, 1, 0, 1, 0, -1, -1, -2, 0, 1, 1, -1, 1, -1, 2, 1, -2, 0, 0, -1, 2, 2, 1, 4, 0, 1, -1, 0, -2, 1, 1, 2, 1, -2, 1, 0, 1, 2, -1, 2, 0, 1, 0, 0, 0, 0, 4, -1, -1, 0, 0, 1, 1, 1, 1, 1, -2, -1, -1, 1, 1, 2, -1, 1, -1, 1, 1, 1, -1, 4, 2, 0, 0, -2, -2, 0, 0, 0, 1, 1, 1, 0, -1, 0, 1, 2, -2, -2, 0, -1, -1, 2, 6, 1, 1, -2, -4, -2, 0, 1, -1, 1, 0, -2, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, -1, 0, 2, 1, -1, -2, -1, -2, 0, 0, 1, 0, 4, 1, -2, -1, 0, 2, -1, 2, -1, -1, 1, -2, 0, -1, 2, -1, -2, 1, 1, -2, -2, 0, 1, 6, 0, 1, 1, 1, -1, 1, -1, 1, 1, 1, -2, -2, 2, 2, 0, 1, 1, -2, -4, 1, -2, 0, 6, 2, -1, -2, 2, -2, 0, 1, 0, 1, 0, -1, 1, 2, 1, 2, 1, 0, -2, 0, -1, 1, 2, 4, 1, -1, 1, -1, 0, 1, -1, 2, 0, 1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 1, -1, 1, 4, 0, -1, 0, 1, 1, -1, 2, 0, 1, -1, -1, -1, -2, 1, 0, 1, 0, 2, 1, -2, -1, 0, 4, -2, 0, -1, 0, 1, -1, 0, -2, 2, 2, 1, 1, -2, 1, -1, 1, -1, -1, 2, 1, -1, -2, 6, 1, 1, 0, -1, 0, 2, 1, 0, -1, -1, 0, -1, 1, 1, 1, 2, 1, -2, -1, 0, 0, 1, 4, 0, 0, 0, -1, 1, -1, -1, 1, 2, 1, -1, 1, 0, 1, -1, -1, 0, 0, 1, -1, 1, 0, 4, 1, -2, 0, 1, 0, 1, 2, 1, 2, 1, 0, -2, 0, -1, 1, 1, 1, 1, 0, 0, 0, 1, 4, -1, 1, 0, 1, 1, -1, -2, -1, 1, -1, 0, -1, 1, 1, 0, -1, -1, 1, -1, 0, -2, -1, 4, 1, -1, 1, 1, 2, 0, 2, 2, 0, 0, 0, -2, 1, 1, 2, 2, -1, 0, -1, 0, 1, 1, 6, -1, 0, 0, 1, 0, 0, -1, 1, 1, 2, 0, -2, 0, 0, 0, 0, 2, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 2, 0, 2, 1, -2, -2, 0, -1, 0, 0, -2, 0, -1, -2, 0, -1, 1, -2, -1, 4, 0, -1, 0, 1, 0, 1, 2, 2, 0, 1, 0, -1, 2, 0, -1, 0, 1, -1, 0, -1, -2, 0, 4, 0, -2, 1, -2, -1, 2, 1, -1, 0, -1, -1, 0, -1, 1, 2, -1, 1, -2, 0, -1, -1, 0, 4, -1, -2, -2, 1, 1, 1, 0, -1, -1, 0, 1, 1, 2, -1, 1, 2, 0, 0, 2, 0, -2, -1, 4, -1, 2, 0, -1, 0, 0, -1, 0, 0, 0, 1, -2, 0, 1, 0, 2, -1, 0, 1, 1, -2, -1, 4, 1, -1, 1, -1, 0, 0, 1, 0, -1, 0, -1, 1, 0, -2, -1, -1, 2, 0, -2, -2, 2, 1, 4, 0, -2, -2, 0, 0, 1, 1, -1, 1, -2, 0, 0, -2, 1, 0, 1, 1, -1, 1, 0, -1, 0, 4, 0, 0, 1, 1, -1, 0, 1, 1, 0, -2, 1, -1, 1, 0, -2, 2, 2, 1, -1, 1, -2, 0, 6, 1, 1, 0, 0, -2, 2, 0, 1, 2, 1, 0, -1, -2, -2, 2, 1, 1, 0, -1, -2, 0, 1, 6, -1, 0, 0, -2, 2, -1, 1, -1, 1, 3, 1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 1, -1, 4, 0, 1, 0, 0, 1, 0, -1, 0, -2, 1, 1, -1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 4, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 1, -1, 0, 0, 1, 0, 4, -1, 0, 0, 1, -1, 1, 0, 1, 1, 0, -1, -1, 0, 0, 0, 1, 0, -2, -2, 0, 0, -1, 4, 0, 1, -1, 0, 0, -1, 0, 2, -2, 2, 0, 1, 0, -1, -1, 1, 2, 2, 0, 1, 0, 0, 4, 0, 0, 0, 2, 1, 0, 1, 0, 0, -1, 1, 1, 0, 1, 1, 0, -1, 1, -1, 0, 1, 0, 4, 0, 0, 1, -1, 1, 1, -1, -1, 1, 2, -2, -1, -2, 0, 1, 1, 0, 0, 1, -1, 0, 0, 4, -1, 0, 2, 0, 1, -2, 0, 2, -1, 0, 1, 0, -2, 2, -1, -1, 1, -1, 0, 0, 0, -1, 6, -1, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0, 1, 1, 1, 0, -1, 1, 0, 2, 1, 0, -1, 4, 0, 1, 0, -1, -1, 1, 2, 0, -2, -2, -1, 0, 3, -2, 0, 0, -1, 1, -1, 2, 0, 0, 6, 1, 0, 1, 0, -2, 0, 2, -1, 1, 1, -1, 1, 1, 0, 1, 0, 0, 1, 0, -1, 1, 1, 4, 0, -2, -1, 0, 0, -1, -1, 0, 0, -2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 0, -1, 2, -1, -1, -1, -1, 0, 1, -1, 0, -1, -1, 1, -2, -1, 1, 2, -1, 4, -2, 0, 1, 0, 0, 0, 2, -1, 1, 1, 0, 0, 0, 1, -1, 0, 0, 0, -2, 1, 2, -2, 6, -1, 0, 1, 1, 1, 0, -1, -3, 1, 1, 0, 1, -2, 1, -1, -2, 1, 0, 2, 1, 0, -1, 4, -1, -1, 0, 0, 0, 1, 2, 0, 1, -2, -1, 1, -1, 2, 0, -2, 2, -1, 0, 1, 0, -1, 4, 1, 0, 0, 2, -2, 0, 2, 0, 0, 1, -1, 1, 1, 0, -1, -1, 0, -1, 0, 1, -1, 1, 4, -1, 2, 1, -1, -2, 0, 1, -1, 2, -1, 2, 0, 1, 0, -2, 1, 2, 0, 1, 0, 0, -1, 4, -2, -1, 0, 0, 0, 1, 0, 1, -1, -2, 0, -2, 0, 1, 1, -1, 0, 1, 0, 0, 2, -2, 4, 2, 0, 0, 0, 1, 0, 1, -1, 1, 0, 1, 0, -2, 1, -1, 2, 0, 0, 2, 1, -1, 2, 4, -1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -2, 0, -1, -1, -1, 1, -2, -1, 0, 0, -1, 4, 2, -1, -1, 0, -1, 0, 0, -1, 0, 1, 2, -2, -1, 1, -3, 2, 0, -2, 0, 0, 1, 2, 6, -1, 0, 1, 0, 1, -1, 1, 1, -1, 2, -3, 0, 1, 1, 0, 2, 0, 0, 0, 1, -1, -1, 4, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, -1, 0, 0, 4, -1, 1, 0, -1, 0, -1, -1, 0, 1, -1, 0, 0, -2, 0, -1, 0, 0, 0, 0, 1, -1, -1, 4, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, -1, 1, 2, 1, 1, 1, -1, 0, -1, 1, 0, 4, -2, 0, 0, 1, 0, -2, 1, -1, 1, -2, 1, -1, -1, -1, -1, 0, 0, 1, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, 1, 2, -2, 1, 0, 0, -1, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 1, 0, -1, 2, 1, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 4, 1, -2, 1, 0, -2, 0, -2, 0, 0, 1, -2, 1, 0, 0, 1, -1, -1, 0, 1, 0, 1, 1, 4, -1, -1, -1, -1, 0, 1, -2, -1, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, -2, -1, 4, 0, 0, 1, -2, 0, 2, -1, -2, 1, -2, -2, 2, 2, 0, 0, 0, -2, 1, 0, 1, -1, 0, 6, -3, 2, 1, 2, -1, 0, 1, 1, 1, 0, -2, -3, 0, 1, 0, 1, -1, 0, 0, -1, 0, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, -1, 1, 1, -1, 1, 0, -1, 0, 2, 1, 1, 0, 2, 1, -1, 1, -2, 2, 1, 4, 1, -1, 0, 0, -1, -2, 0, 0, 0, -1, 1, 1, -1, -1, 1, 0, -2, 2, 0, 1, -2, 1, 4, -1, 1, -1, -2, 0, -1, -1, 1, -1, -1, -1, -1, -1, -2, 0, -1, 0, 2, -1, -1, -1, -1, 4, -1, 1, 0, 0, 1, 0, -1, -1, 0, -1, 0, 2, 0, 1, 0, 0, 1, 0, -1, 0, 1, -1, 4, -2, 0, 1, 1, 0, 0, -1, -2, 1, -2, -1, 0, -1, 1, 0, 2, 0, 1, 0, -1, 1, -2, 4, -1, -2, 0, 1, 0, 0, 2, -1, 2, 1, 0, 1, -1, 0, -2, 1, 1, -1, -2, 0, 0, -1, 4, 2, 0, 1, 0, 1, 0, 0, -1, 1, 1, 0, 1, -1, -1, 1, -1, -2, 0, 0, 1, -2, 2, 4, -1, 0, 1, 1, -2, 0, -1, 1, 0, 0, 2, -1, 1, 0, 1, 0, -1, 1, 1, 0, 0, -1, 4, 0, -2, -2, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 4, -1, 1, 1, 1, 0, 1, 0, -1, 1, 0, -2, 0, -1, 0, 1, -1, 0, 0, 0, 1, -2, -1, 4, 1, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 0, -1, -1, -1, -1, 0, 1, 1, -2, 1, 1, 4, 1, 1, 1, 0, 0, -1, 1, -1, -2, -1, 2, 1, -1, 0, -2, 2, 0, -2, 0, 1, -1, 1, 4, 0, 1, 0, 0, 0, -1, 1, -3, 1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 1, -1, 1, 0, 4, 0, -1, 1, -1, 1, 1, 0, 0, 1, -1, -1, 0, -2, 2, -1, -1, 0, 0, 0, 1, 1, 0, 4, 0, 0, 1, 0, -1, -2, 0, 0, -1, -1, 2, -1, 1, 1, 1, 1, 1, -1, 0, 0, -1, 0, 4, 0, 2, 0, -1, -1, 0, 2, 1, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 1, 0, 2, 1, 0, 0, 1, -1, 1, 0, 0, 1, -1, -1, -1, 0, -1, 1, 2, 0, 4, -1, 0, 0, 1, -1, -2, -1, 0, 1, -1, 1, 2, -1, 1, 0, 1, -1, 1, 0, 0, 0, -1, 4, -1, 0, 0, 1, 2, 0, 0, 0, 0, -1, -1, 0, 0, -1, -1, 1, 1, -1, -1, 1, 0, -1, 4, 1, 1, -2, 0, 2, 1, 2, -2, -1, 1, 0, -2, 1, -2, -3, 0, -2, -1, 0, 0, 0, 1, 6, -1, 2, 1, -1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 2, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 1, -1, 2, -1, 2, -2, -1, 1, 0, -1, 1, 1, 1, -1, -1, 1, 1, 0, -1, -1, 4, 1, -1, 1, 1, 1, 1, -1, 1, -1, 0, 1, -2, -1, -1, 2, 1, -1, -2, 1, 1, -1, 1, 4, -2, -1, 0, -1, 0, 0, 1, -2, -1, -1, 1, 0, -2, 1, -1, -1, 1, 1, 1, 1, -1, -2, 4, 0, 0, 1, -1, 0, -1, 0, 1, 0, -1, 1, 2, -1, 1, 0, -1, 0, 0, -1, 1, -1, 0, 4, 0, 2, 0, 0, 1, -1, 1, 1, 0, 0, 0, 1, 2, 0, 0, -1, 1, 2, 1, 0, 0, 0, 4, -1, 1, -2, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 2, -1, 4, 0, 0, 1, -1, 2, 1, -1, 1, 0, 1, 2, -1, -1, 0, 0, 2, 1, 0, -1, 0, 1, 0, 4, -2, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -1, -2, -1, 0, 0, 0, -2, 0, -2, 4, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 0, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 4, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 1, -1, -2, 0, -1, 1, -1, 0, -1, -1, 4, -1, 0, 0, 0, 1, -1, 0, 1, 0, -1, -1, 0, 0, -1, 1, 1, -1, 2, 0, 1, 0, -1, 4, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, -1, 1, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 4, -2, -1, 1, 0, 0, 1, -2, -1, 1, 1, -2, 1, -1, 0, 0, -1, 0, 1, 0, 0, 1, -2, 6, 1, -1, 0, -1, 1, 4, 0, 0, 1, -1, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0, -1, 1, 4, 1, -1, 0, 0, 1, 1, 0, 1, -1, -2, 2, 0, 0, 0, 0, -1, -2, 1, 0, 1, -1, 1, 4, -1, 0, 1, -1, 0, 0, -1, 2, 1, -1, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, -1, -1, 4, 1, -2, -1, 0, 0, -1, 1, -1, 1, 2, 0, 2, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 4, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1, 1, 0, 1, -2, -1, 4, 1, 0, 1, 1, -2, 1, -1, 0, 0, -1, 0, 1, 0, 0, 1, -2, 4, 1, -1, -1, -1, 1, 6, 1, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 4, 0, -1, 1, 1, 0, 1, 1, 0, -1, 1, 2, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 2, 2, 1, 0, 1, -1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 4, 2, 1, -2, 2, -1, 1, 0, 2, -1, 0, 1, -1, 1, -1, 1, -1, 0, 0, 0, 1, 2, 2, 4, 0, -2, 2, 0, 0, 1, 2, 0, 0, 1, -1, 0, 0, 2, 0, 0, 0, 1, 1, -1, 1, 0, 4, -1, 1, 0, 0, 1, 1, -1, 1, -1, 0, 0, 0, 1, -2, 1, 1, 0, 0, -1, -2, -2, -1, 4, -2, 0, -1, -1, -2, 1, -1, -1, 0, -1, -1, -2, 1, -1, 0, 0, 0, 2, 2, 2, 1, -2, 4, 1, 0, 0, 2, -1, 1, 1, 1, 0, 1, 1, -1, 0, 0, 0, 1, 2, -1, 0, 0, 0, 1, 4, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 1, 4, -1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, -1, 1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 4, 0, -1, 1, 0, 0, -1, -1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, -2, 2, 0, 0, 0, 4, -1, 1, 1, -1, 1, 1, 2, -1, 1, -1, 1, 1, -1, -1, 0, -1, 1, -1, 0, 0, -1, -1, 4, -2, 1, 0, 0, 0, 0, 1, -1, 0, -1, -2, 1, 0, 0, 1, -1, 1, 2, 1, 1, 1, -2, 4, -1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, -1, -1, 1, 0, 0, 0, 1, 1, -1, 4, -1, 1, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, 4, -1, 1, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 0, 1, 1, -1, 1, 0, 0, 1, -1, 4, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, -1, 1, 0, 1, 0, 1, 0, 4, 1, 0, 1, -1, 1, 0, 1, 1, 2, 1, -2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 4, 0, 1, -1, 1, 0, 1, -1, 0, -2, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, -1, 0, 0, 4, 1, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 1, 1, -1, 1, -1, 1, 0, 1, 1, 1, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 4, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, 1, 0, -1, 0, 1, 1, 1, 1, 0, 4, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 0, -2, -2, -1, 1, 0, -2, 0, -2, -1, -1, -1, 2, 1, 0, -2, 0, 0, -2, 6, -1, -2, 0, 1, 0, 0, 1, -1, 1, 0, 1, 2, 2, -2, -1, -1, 1, 2, -2, 1, -2, -1, 6, 3, 2, 3, 1, -1, -1, -1, 1, -2, 0, 1, -1, 2, -1, 1, 0, 0, 0, -1, -1, -2, 3, 6, 1, 3, 2, 1, -2, 1, 2, -1, 0, -1, 1, 1, -2, -1, 0, 0, 0, 1, 0, 0, 2, 1, 4, 0, 0, 0, -1, -2, 0, -2, -1, 0, 0, -1, 0, 2, -1, -1, -1, 0, -2, 1, 3, 3, 0, 6, 0, 0, -2, -1, 1, -1, 2, 1, 2, 0, -1, -2, 0, 0, 0, 0, -2, 0, 1, 2, 0, 0, 4, 2, 0, 2, 2, 0, 1, -1, 1, 2, -2, 0, 1, 2, 0, 0, -1, 0, -1, 1, 0, 0, 2, 4, 0, 1, 1, 0, 2, -2, 2, 1, -1, 0, -1, 1, 0, 0, 1, 1, -1, -2, -1, -2, 0, 0, 6, -1, 0, 2, 0, -1, 0, -1, 2, 1, 0, -1, 1, -2, 0, -1, -1, 1, -2, -1, 2, 1, -1, 6, 0, 1, 0, 0, 0, 1, -1, 0, 2, 3, -1, 1, -2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 4, 1, 1, -1, 1, 1, -2, -1, 1, 0, 0, 1, 0, 0, -2, -1, -2, -1, 0, 0, 2, 1, 1, 4, 1, -1, 0, -1, 1, -1, 0, -1, 1, 0, -2, 1, 0, 0, -1, 2, 1, 2, 0, 0, 1, 1, 4, 0, 2, 1, 0, -1, -1, 0, 1, -1, -1, 2, 1, -1, 0, 1, -1, -2, -1, 0, -1, -1, 0, 4, 0, -1, 0, 0, 1, 1, -1, 0, -1, 2, -1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 4, -1, -1, -1, 0, 0, 0, 0, -1, -2, 2, 1, -1, 0, 2, 1, -1, 1, 1, -1, 1, -1, -1, 6, -1, 0, 0, 1, 1, 0, 2, -1, -1, -2, 0, -1, -2, -1, 2, -1, -2, 1, 0, 0, -1, -1, 4, 1, -1, -2, 1, -1, 1, -1, 1, -1, 2, -2, 0, 0, 1, 0, -1, -1, -1, 0, -1, 0, 1, 4, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, -1, 0, 2, 1, 0, -1, 1, 0, 0, -1, 0, 4, 1, -1, 1, -2, 2, 0, 0, -1, 0, 2, 1, -1, 3, 0, -1, 0, 1, 0, 1, -2, 0, 1, 6, -1, 1, 0, -2, 0, 0, -1, 0, 0, 0, 1, -1, 0, 1, 1, -1, 0, 1, 1, 0, -1, -1, 4, -2, 0, 1, -1, 1, 0, 0, 0, 0, -2, 1, 1, 0, -1, 0, 0, 0, -1, -1, 1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 1, -2, -1, 0, 1, -2, -1, 0, 1, -1, 0, -1, 1, 1, -1, 0, -1, -2, -2, 0, 4, 0, 1, 1, 2, 1, 0, -1, 1, 1, 1, -1, 2, 2, 2, 1, -2, -1, -1, -2, 1, 0, 0, 4, -1, 0, 0, -2, -1, 2, 1, -1, 1, 1, 0, -1, -2, -1, 1, -2, 1, 0, -2, 1, 1, -1, 4, -1, 1, 2, 2, -2, 0, 1, 1, 0, 2, 0, 1, 2, -2, -1, -2, -1, -1, -2, 1, 0, -1, 4, 2, 1, -2, 0, 0, 1, -1, 0, 1, 2, -1, -1, 1, 0, 1, 1, 2, -1, 2, 0, 1, 2, 4, 2, -1, 0, 0, 2, 1, 0, 2, 1, 1, 1, -1, 0, -1, -1, 1, 0, 1, -2, 2, 1, 2, 4, 0, -2, -1, 2, 0, -1, 1, 1, 2, 1, -2, 1, -1, -1, 1, 1, 0, -1, 2, -2, -1, 0, 4, -1, 0, 0, 1, 1, 0, 0, 1, 1, -1, 0, -1, 0, 0, -2, -1, 2, -2, 0, 0, -2, -1, 6, 0, 0, -1, 2, -2, -2, -2, -2, 0, 0, 2, 0, -1, -1, 1, 1, 0, 0, 0, -1, 0, 0, 4, -2, 0, -1, 1, 0, -1, -1, 0, -2, 0, 1, 1, 0, 1, -1, 1, 1, 2, 2, 0, 0, -2, 4, 1, 1, 0, 1, 2, 1, -2, 1, -1, -2, 0, 1, 1, 1, 1, -1, 1, 0, 1, -1, 0, 1, 4, 1, 1, 1, 2, 2, -1, -1, -2, -2, 0, -1, -1, 1, 0, 0, 0, -1, 1, 2, -1, 1, 1, 4, -1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 2, 0, 2, 1, 2, 1, 0, -2, 1, 0, 1, -1, 4, 1, 0, 1, 0, -1, -1, -1, 1, -1, 2, -1, 0, 2, 1, 1, 0, -2, 0, 1, 1, 0, 1, 4, 2, 1, 0, 0, -1, 0, 2, 1, 2, -2, 1, -1, 1, 2, 1, -2, -1, 2, 2, -1, 0, 2, 6, 2, -2, 1, -2, -2, 1, 1, 1, -1, 2, -1, 1, 1, 1, -2, -1, 1, 2, 0, 1, 1, 2, 4, -1, 0, -2, -1, 0, -1, -2, 1, -2, 1, -1, -2, -1, 0, 0, -2, -1, 1, 0, 0, -2, -1, 6, 0, 1, 3, 1, 0, -1, -2, -1, 0, 0, 1, 0, 0, -2, 1, -1, 0, -1, 0, 1, 0, 0, 4, 0, 0, 1, -1, -1, 1, -2, 1, -1, -1, -1, 2, 0, -1, -2, 0, -1, -1, -2, -2, 1, 0, 4, 2, 0, -2, -2, 0, -1, 1, -1, -1, 0, 0, 1, -2, -2, 1, -1, 0, -2, -1, 3, 0, 2, 6, 0, -2, 1, -2, -1, 2, 1, 1, 0, -1, 1, 0, 0, -1, 1, 2, 1, 0, 1, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, 2, -1, 1, 0, 1, -1, 1, -1, -1, -1, 2, 0, -1, 0, 1, 1, 4, 0, -2, 1, 2, 0, 2, 0, 0, 1, 0, -1, 0, -1, -1, 1, 0, 1, 0, 1, -1, -1, 0, 4, -1, 1, -1, 0, 0, 0, 0, 1, 0, 2, 0, -1, 1, -1, -2, -1, 0, 1, 0, -1, -2, -1, 4, 0, 0, 1, -2, 1, 1, -2, -1, 0, 1, 0, 1, 0, -1, -1, -1, 0, 1, 1, 1, 1, 0, 4, 0, 2, 0, 0, 1, 1, 0, -1, 1, -2, -1, 0, 0, -1, -1, 1, 1, 1, 2, -1, 0, 0, 4, -1, 2, -1, 0, -1, 1, -1, 1, -1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 0, 1, 2, -1, 4, -1, 1, 2, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 2, -1, 4, -1, -1, 1, 1, 0, 1, -1, -1, 0, 0, 1, -1, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, 4, 0, -1, -2, 1, 0, 1, 1, 1, 1, -1, 0, -1, -1, 1, 0, 0, 1, 1, 0, 2, -1, 0, 4, -1, -1, 0, 1, 0, -1, -2, 1, 0, -1, -1, 1, 0, 1, 1, -2, 1, -1, 0, 1, -1, -1, 4, 0, 0, -1, 0, 0, 1, -1, 1, 1, 1, -1, 1, 0, 0, -1, 0, 1, -1, 1, -2, -1, 0, 4, 0, -1, -1, 0, -1, 0, 0, -1, 0, 0, -1, -1, 2, 0, -1, -1, 0, 0, 1, 0, 0, 0, 4, -1, 1, 1, -1, -1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, -1, -1, -1, 4, -1, 0, -1, 0, 0, -2, 0, 1, -1, -1, -1, 0, -2, -1, 0, -1, 1, 0, 0, -1, 1, -1, 4, 0, 0, 1, 0, 1, -2, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 0, 0, 1, 0, 0, 4, 1, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, 1, -2, 1, -1, -1, -1, 0, 1, 4, 0, 0, 1, 1, 0, 2, 0, -2, -1, 0, -1, 0, 0, 1, 1, -1, 0, -1, 0, 1, -1, 0, 6, 0, 0, -2, 1, 0, 1, -1, -1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 4, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 1, -1, 0, -2, 1, 0, 1, 0, 0, 4, 1, -1, 0, 1, 1, 0, 1, 1, 0, 1, -1, -1, 1, 0, 0, 0, -2, 0, 1, -2, 0, 1, 4, 0, 1, -1, 0, 1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, -1, 2, -2, 0, 1, 0, 0, -2, 1, 1, -1, 1, -1, 0, 1, 1, 0, -2, 0, 4, -2, 1, -1, 1, 0, 1, 1, 2, -2, 1, 1, 0, 1, -1, 1, -2, -1, 0, 0, 1, 1, -2, 4, -1, -1, 1, -1, -1, -1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, -2, 1, 1, -1, 4, 1, -1, -1, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, -1, -1, 0, 0, 1, -1, -1, -1, 1, 4, -1, 1, 1, 1, -2, 0, 0, 0, 1, 1, -1, -1, 0, -1, 1, -1, 2, 2, 1, 1, -1, -1, 6, -1, 2, -1, 2, 0, 0, 2, 1, 0, 0, -1, 0, 2, 1, 1, -3, -2, 0, -1, -1, 1, -1, 4, -1, 1, -1, 0, 1, -1, 1, 2, -2, 1, 0, 0, 1, -1, 0, 0, 1, -1, 0, 1, 2, -1, 4, -1, 1, 0, 0, 2, 0, 1, -1, -1, 0, -1, 0, 0, 1, 1, 1, -1, 1, 1, -1, 1, -1, 4, -1, -1, -1, 0, 1, 1, -1, 1, -1, 0, 1, -1, 0, 0, 2, -1, -1, -2, 2, -1, 1, -1, 4, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, -1, 0, 0, 0, 0, -1, 0, 4, -1, 0, -1, -1, 0, 0, 1, 1, -1, 1, -1, -2, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, 4, -1, -1, 1, 0, 1, -1, -1, -1, 1, 0, 1, 1, 0, -1, 0, 2, -1, 2, 0, 1, 0, -1, 4, 0, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, -1, -1, -1, 0, 4, 1, 0, 0, 0, 0, 2, -1, 0, -1, 1, -1, 0, 1, 0, 2, 1, 1, 0, -1, 1, 0, 1, 4, -1, 0, -1, 0, 1, 0, 1, 1, -1, 1, 0, -1, 0, -2, -1, -1, 0, 0, 0, -1, 0, -1, 4, -1, 0, 1, 0, 2, 0, -1, 1, 0, -1, -1, -1, 1, -1, 1, 0, 0, 1, 0, 0, 0, -1, 4, -1, -1, -1, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, -1, 4, 1, 0, 0, -1, 1, -1, 1, -1, -1, 2, 0, -1, 0, 1, 1, -1, 0, 0, 0, 1, -1, 1, 4, 0, 1, -2, 1, 0, 0, 0, 1, 1, 1, 0, 1, -1, -1, -1, 0, 2, 1, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, 1, 1, 1, -1, -1, 0, 2, 0, 0, 1, 0, 4, -1, -2, 1, -2, 1, 2, -3, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, -2, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 2, -1, -1, -2, -1, 1, -2, 1, -1, -1, 0, 0, 0, -1, -2, 1, 0, 1, -2, 4, 1, -1, -1, 2, 1, 2, 1, 1, 2, 0, 1, -1, 1, 0, 1, 1, 2, -1, 1, -1, 0, 1, 4, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, -1, 0, 0, 0, 0, -2, 1, -1, 1, 4, 0, 0, 1, -1, -1, 1, 0, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 0, 2, -1, 1, 0, 4, -1, -1, 0, -1, 1, 0, 0, 0, -1, 0, -1, -1, -1, -1, 1, -1, 0, -1, 2, 1, 0, -1, 4, 2, 0, 1, 0, 2, -1, 0, 0, 0, 1, 1, 1, 0, -1, 0, -1, -1, 1, 2, 1, -1, 2, 4, 1, 0, -1, 2, 1, 2, 1, -1, 2, 0, 1, 0, -1, 0, -1, -2, 2, 1, -1, 0, 0, 1, 4, 0, 0, 2, 0, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0, -1, 1, 1, -1, -1, 1, 0, 0, 4, 0, -1, -1, 0, -1, 1, 0, 0, -1, 1, 1, 0, -1, 1, 1, 0, 1, 1, 0, -1, 0, 0, 4, -1, 0, 0, -1, 0, -1, 2, 1, 1, -1, -1, 0, -2, 2, 1, 0, 0, 2, 2, 2, -1, -1, 6, 0, 1, 0, 1, 0, -1, 0, 0, -1, 1, 0, 1, 0, 1, 1, 0, -1, 1, 0, -1, 0, 0, 4, 0, 1, -1, 0, -1, 1, -1, -1, 1, -1, -1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 4, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 1, -1, 0, 1, 0, -1, -1, 0, 1, 0, 4, -2, 0, 0, 2, 0, -2, -1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -2, 4, -1, -1, -1, 1, 1, 2, 1, 0, 0, 1, 1, -1, 1, 2, -1, 0, -1, 0, 0, 1, 0, -1, 4, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, -1, 1, 0, 0, 0, 2, -1, -1, 0, 0, -1, 1, 4, 1, 1, -1, -1, 1, -1, 1, 0, 1, -1, 1, 1, 0, -1, 1, 0, 1, 0, 2, -1, 0, 1, 4, 1, -2, 0, -1, -2, 2, 0, -1, -1, 0, 0, 2, 1, 1, 0, -1, 1, 0, 1, -1, 1, 1, 4, -1, 0, 0, 1, -1, 0, -1, 1, -1, -1, 0, 1, -1, -1, -1, 0, -2, 1, 0, -1, -2, -1, 4, 1, 1, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1, 1, 1, 0, -1, 2, 0, -1, 0, 0, 1, 4, 0, 1, -1, -2, 0, 0, -1, -1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -2, -1, 1, -1, -1, 2, 1, 0, 0, -2, 0, 1, 1, -1, 2, -1, 0, 0, 4, -1, -1, 1, 1, 2, 1, 2, 2, 0, 2, 0, -1, -1, 1, 1, 2, 0, 0, -1, 0, 1, -1, 4, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, 0, -1, 0, 0, -1, 2, -1, 0, 4, -2, -2, -1, 0, -2, -1, 1, 1, 0, 1, 0, -1, 1, 1, -1, 0, 1, -1, -2, 1, 0, -2, 4, 2, 1, -1, 1, 1, -2, -1, 1, -1, 1, 0, -1, 1, 0, 0, 1, 0, -2, 1, 0, -2, 2, 4, 2, -1, 2, 2, -2, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 1, -1, 2, -1, -1, 1, 2, 4, 1, 2, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, 0, 0, -1, -1, 1, 4, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, 1, 0, -1, -1, 2, 0, -2, 1, 2, 2, 0, 4, 1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, -1, 1, -1, 2, 0, -1, 1, 2, 1, 1, 1, 4, -1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, -1, 2, 0, -1, 1, -2, -2, 0, 2, 0, -1, 4, 1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 1, 2, -1, 1, -1, -1, 0, 1, 1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, 0, 0, 0, -1, 0, -1, 1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 4, 1, -1, -1, -1, -1, -1, 0, 0, -2, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 0, -1, 0, 1, -1, 1, 0, 0, 1, -1, -1, 0, 1, 0, 1, 0, 2, 0, 0, 0, -1, 0, 4, 0, 1, 1, 2, -1, 0, 1, 1, 0, 1, -1, -1, 0, 2, 0, 1, 1, 2, -1, -1, -1, 0, 4, 1, 0, 0, 1, -1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, -1, 0, 1, 1, 6, 0, 2, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 4, -1, -1, 0, 2, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, -1, -1, 2, 0, 2, -1, 6, 0, 0, -1, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 4, -1, 0, 0, -1, -1, 0, 1, 1, -1, 1, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 2, 2, -1, -1, 2, 1, -2, 2, -1, 0, 1, 2, -1, 2, 1, -1, 1, -2, 1, -1, 4, 2, -2, 0, -1, 2, -1, 1, -1, 0, 1, -1, 0, 1, -1, -1, 1, 1, 0, 2, 0, -1, 2, 4, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 2, 0, 1, 1, 2, -2, -2, 4, 0, -1, -1, 1, -1, 0, 1, -1, 0, 0, 1, -1, 2, -1, -1, 0, -2, 0, 2, 0, 0, 0, 4, 0, 0, 2, 1, -1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, -1, 0, -1, -1, 0, -1, 0, 4, 1, 1, 1, 1, -2, -1, 0, 1, -2, 0, 0, 1, -1, -1, -1, 1, -1, 2, 1, -1, 0, 1, 4, -1, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, 1, -1, 0, 1, 2, -1, -1, 1, 2, 1, -1, 4, 1, 0, 0, -1, 0, 1, 0, -1, 2, 2, -1, 1, -2, 1, 1, 1, 0, -1, 1, 1, 0, 1, 4, -1, 0, -1, -1, 1, 0, -2, 0, 2, -1, 0, 1, 0, -2, -1, 0, 0, -1, 1, 0, 0, -1, 4, -2, 0, 1, 0, -2, 0, 0, -1, 1, -1, 0, -1, 2, 0, 0, 1, 1, -2, 0, 0, 0, -2, 4, 1, -1, 0, 2, 1, 0, 0, 0, 1, 0, 1, -1, 1, 0, -1, 0, -1, 1, -1, -1, 0, 1, 4, -1, 0, 0, 2, -2, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, 1, -1, -1, 4, 1, 0, 1, 1, 0, 1, 0, -1, -1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 4, 1, -1, 1, 1, 0, 1, -2, 1, 2, 1, 1, 1, 1, -2, 1, 0, 0, -2, 2, 0, 0, 1, 6, -1, 2, 0, 2, 0, -2, 1, -1, -1, 1, -1, 0, 0, 0, -1, -2, 0, 1, 2, 1, -1, -1, 6, -1, 0, 1, 0, 0, 1, 2, -1, -1, 2, 1, 0, 0, 2, 0, 0, 0, -2, 1, 1, 2, -1, 4, 0, 0, 0, -2, 1, 1, 1, 1, -1, 2, 1, 0, 2, 2, -1, 0, 0, 0, 1, 0, 0, 0, 4, 0, 1, 0, 1, -1, 1, 2, -1, 0, -1, 1, -1, -1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 4, -1, 0, 0, 1, 0, 0, 0, 2, -1, -1, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, -1, 4, 1, 0, -2, 2, 1, -2, -1, -1, 0, -2, 1, 0, 0, 0, -1, -2, -2, 0, -2, 0, 0, 1, 6, -2, 1, 0, 1, 0, 0, 1, 1, 1, 0, -1, 1, 0, -1, 1, 1, 1, 1, 1, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, 1, -1, 0, 1, 2, -1, 1, -1, -1, 0, 1, 2, -1, -2, 1, 0, 0, -1, 4, 0, 0, -1, -1, 1, 1, 1, -2, 0, 1, 1, 0, -1, 1, -2, 0, 0, 0, 0, 1, -2, 0, 4, -2, 0, 1, -1, 0, -1, -1, 0, -1, 0, 2, -1, -1, -2, 1, 1, -1, 0, 0, 2, 0, -2, 4, 1, -1, -1, -1, 2, 0, 0, 0, -1, 0, 0, 2, 2, -2, -2, 2, -1, 1, 2, -1, 0, 1, 4, 2, -2, -1, 1, 1, 0, 1, 0, -1, -1, 0, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 2, 4, 0, 1, 0, 1, 0, 1, -1, -1, -1, -1, 0, 0, 0, 0, 1, -1, -1, 1, -1, -1, -2, 0, 4, 2, -1, 0, 1, 1, 1, -1, 1, -1, -1, 0, 0, 0, 1, -1, 0, 1, 0, -1, -1, 1, 2, 4, -1, 1, 0, 1, -1, 0, 1, -1, -2, 1, -1, -1, 2, 0, 1, 1, -1, 2, 1, 0, -1, -1, 4, 0, -1, 0, -1, -1, -1, 1, 0, -1, 0, 1, 0, 1, 2, -2, -1, 0, 1, 1, 0, 1, 0, 4, 0, 0, -1, -1, 1, -1, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 4, -1, 1, 0, 1, -1, 1, -1, 0, 1, -1, -1, 1, 1, -1, 0, 1, 1, 1, 1, 0, 0, -1, 4, 1, -2, -1, 0, -1, -1, 0, 1, 0, 0, -1, 1, 0, -1, 0, -1, 1, -1, -1, -1, 1, 1, 4, 0, 0, 0, -1, 0, 1, 0, -1, 0, -1, 0, 2, 0, -1, -1, -1, 0, -1, -1, 0, -2, 0, 4, 0, 0, -1, 1, 0, -1, 0, 0, 0, -1, -1, 0, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 4, -1, 0, 0, -1, -1, 1, 0, 1, 1, -1, 2, 0, -1, -1, -1, 1, -1, -1, 0, 0, 0, -1, 4, 1, -1, -1, 1, -1, 1, 2, -2, -2, 2, 1, 0, -1, -2, 0, 1, 1, -1, -1, -1, 0, 1, 6, -2, -1, 2, -2, 0, -1, 0, 1, -2, -1, 0, 0, 1, -1, 0, -1, -1, 0, 1, 0, -1, -2, 4, 1, -2, 2, 0, -2, 0, 1, -2, -1, 0, 0, -1, 0, -1, 0, 0, 1, 0, -1, -1, -1, 1, 4, -1, 0, -1, 1, 0, -1, 2, 1, 0, 0, -1, 1, 0, 1, 1, 0, -1, -1, 1, 2, -2, -1, 4, -1, 0, 0, 0, 0, -1, -1, 1, 1, 2, 0, 1, -1, 0, -1, 0, 1, -1, -2, 2, 0, -1, 4, -1, 0, 1, 0, 1, 1, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 1, 0, 1, 1, 0, 0, 1, -1, -2, 0, 1, -2, -2, -1, 0, 0, 1, 0, 2, 4, -2, -1, -1, 1, 0, 1, 0, 0, -1, -1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -2, -2, 4, 1, 1, -1, -1, 0, 1, -1, -1, 0, 1, 1, -1, 1, 1, 1, 1, 0, -1, 1, -2, -1, 1, 6, -3, 0, -2, 1, -2, -2, -3, 1, 1, -2, 1, 3, 3, 2, -1, -2, -2, 1, 1, -1, 1, -3, 6, 0, 1, 1, 1, 1, 3, 1, 1, 1, 1, -3, 0, -1, 2, 1, 1, 1, 0, 1, -1, 0, 0, 4, -1, 1, -2, -1, -1, -1, -1, 1, 1, -1, -1, 1, 0, 0, -1, -1, 1, 0, -1, -2, 1, -1, 4, -2, 1, 2, 3, -1, 0, 1, 0, -2, 0, -1, -1, 0, 1, -1, 1, 1, 0, 1, 1, 1, -2, 4, -1, -1, -1, 1, 0, -1, 1, 0, 0, 1, 1, -1, -1, 2, 0, 0, 1, -2, 1, -2, 1, -1, 4, 2, 1, 0, 1, 1, -2, -1, -1, 0, 1, 0, 0, 1, 0, 0, -1, -2, 1, -1, 2, -1, 2, 4, 3, 0, 1, 0, -1, -1, 0, -1, 0, 0, 1, 0, 1, -1, -1, -3, 3, -1, 3, -1, 1, 3, 6, 1, 0, 1, 1, -3, 0, -1, 0, 0, 1, 0, -1, -1, 0, 1, 1, -1, -1, 1, 0, 0, 1, 4, 2, -1, 1, 0, 1, 0, 1, 0, 0, 2, -2, -1, 1, 1, 1, -1, 0, 0, 1, 1, 0, 2, 4, -1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, -2, 1, 1, 1, -1, 1, 0, 1, -1, -1, 4, 0, -2, -1, 1, 1, 1, -1, -1, 1, 0, -1, 1, 1, 1, 0, 1, -2, -1, 1, 1, 0, 0, 4, -1, 1, 0, 0, 0, 0, 0, -2, 0, 1, 3, -3, -1, -2, 0, -1, -1, -3, 0, 0, -2, -1, 6, 1, 0, 0, -1, 0, 0, -2, -1, 1, 3, 0, -1, 0, 0, -1, 0, 0, 1, 2, -1, 1, 1, 6, 0, -1, 0, -1, 0, -1, 0, 1, 2, -1, 1, -1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 4, 0, -1, -2, 1, 0, -1, 1, -1, 2, 0, -1, 1, 1, 0, 0, 1, 0, 1, 0, 0, -1, 0, 4, 0, 0, 1, 0, 0, 0, -2, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 4, 2, -1, 1, 0, -1, -2, 1, -1, 1, -1, 0, 1, 1, 0, 0, -1, 0, 0, -1, -2, 0, 2, 4, -1, 0, 0, 1, 1, 1, -1, -1, 2, 1, 0, 0, 2, 1, -1, 0, 0, 0, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, -1, 0, 1, -1, 2, 2, 1, 2, 0, 0, -2, -2, 0, 0, 1, 2, 0, 1, -1, 4, 0, 2, -1, 1, 0, 2, -2, -1, -1, 0, 1, -1, 2, 2, -1, 0, -2, 0, 0, 0, -2, 0, 4, -1, 2, 0, -1, 0, -2, -2, 0, -2, -1, 0, 1, 2, 1, -1, -1, -2, 1, 0, -1, 2, -1, 6, -3, 1, -2, 3, 0, -1, -2, -2, 3, -1, 0, 0, 1, 2, 1, -1, -2, -1, -1, -1, 2, -3, 6, -2, 1, 0, 0, -1, 1, 1, -3, -1, 0, 0, -2, -1, -2, -1, 1, 2, 0, 1, 0, 1, -2, 4, 1, 1, 0, 0, -1, -2, 1, 1, 0, 2, 0, -1, -1, 0, 1, 0, 1, 0, -1, -2, 1, 1, 4, -1, 0, 0, 0, 2, -1, 0, -1, 1, -2, -1, -2, 1, 1, 1, -1, 2, 0, 3, 0, 1, -1, 4, 0, -1, -1, -1, 1, -1, 0, 1, 0, 1, -1, -1, -1, 0, 2, -2, -2, 0, 0, 0, 0, 0, 4, 2, 0, 1, 0, 0, -2, -2, 0, 0, 2, 1, 0, 1, 2, -1, -2, -1, -1, 0, 0, -1, 2, 4, 0, 1, 0, 1, 0, -2, 0, 0, 2, 1, 0, 0, 1, -1, 0, -2, 1, -1, 0, -1, 0, 0, 4, 1, -1, -1, -1, -1, 0, 1, -1, 0, 0, 1, 2, 0, -2, -2, 1, -2, 2, -1, 1, 1, 1, 6, 0, -2, 0, -2, -1, 1, -1, 2, -1, 0, 0, 1, -1, 3, -3, 1, -1, 1, 0, 0, -1, 0, 4, -1, 1, 0, 1, 1, 0, 0, -1, -1, 0, -1, 0, -1, -1, 1, 0, -1, 0, 1, -1, -2, -1, 4, 0, 0, 0, -1, 2, 1, 1, -1, -2, 2, 1, 0, 0, 0, -1, 0, -2, 0, -1, 0, 1, 0, 6, 2, -1, -1, -2, 0, 1, -1, -2, 2, 2, 0, 0, 2, 1, 1, -2, -2, -1, -2, 0, 0, 2, 6, 0, -2, -3, -1, 2, 1, 0, -1, 1, 1, -2, 0, -2, 0, 0, 0, 0, -1, 1, 0, -1, 0, 4, 1, 2, -1, -1, -1, 0, 0, -1, 2, -1, -1, -1, 1, 0, 0, 1, 1, 1, -1, -1, -2, 1, 4, 1, 0, -2, -1, 1, -2, -1, 1, -2, -1, -2, -1, 2, 2, -1, -1, 0, 2, -2, -3, 2, 1, 6, 0, -1, -1, 2, 0, -2, -1, -1, 0, 1, -1, 1, 1, 0, 2, 0, 1, 0, -1, -1, 0, 0, 4, 1, 0, 0, 0, 1, -2, 1, 1, 1, -1, 0, 0, 0, -1, -1, 1, 1, 2, -1, -2, -1, 1, 4, 1, 1, 0, 0, -1, 2, 0, 1, 0, 1, 0, 1, 0, -1, -1, -1, 1, -1, -1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -1, -1, 1, 1, 0, 1, 1, 1, 1, 2, 1, -2, 0, 0, 0, 2, 1, 0, -2, 4, 1, -1, 0, 0, 1, -1, -1, -1, -2, 0, 1, -1, -1, 1, 0, 0, -1, -1, -2, 1, 0, 1, 4, -1, 1, 1, 2, -2, -2, -1, -2, -1, 1, 0, 0, 0, 1, 0, 0, 1, -2, 2, 1, -1, -1, 4, -2, -2, 0, 0, 0, 1, 2, 2, -1, -1, -1, -2, 1, 0, -1, 0, 2, 0, -1, 0, 1, -2, 4, 2, -1, -1, 1, -1, -1, -2, -1, 1, 1, 0, 0, -1, 1, -1, 0, 0, -1, 0, 1, -2, 2, 4, 0, -1, -1, 0, 0, -2, 0, 0, 1, 2, 1, 0, 2, -1, 0, 1, 1, 1, 2, 0, -1, 0, 4, -1, -1, -1, -1, 0, 2, 0, -1, -1, 0, 1, -1, 2, -2, 2, 1, -1, -2, 0, -1, -1, -1, 4, 0, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -2, 0, -1, -2, 0, 1, -1, -1, 0, 6, -2, -1, -1, -2, 2, 0, -2, -1, -1, -1, -2, 0, 0, 1, -1, -1, 1, -1, 0, -1, 1, -2, 4, 3, 1, 0, -1, 0, 1, 0, 1, 0, 0, 2, -1, 1, -2, -2, 2, -1, 0, -1, 1, -1, 3, 6, 0, 0, -1, 1, -1, -1, 2, 0, -1, 4, -1, 1, 0, -1, 2, -2, -2, 0, 1, -1, 1, 0, 4, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, 1, 1, -1, -1, 0, 2, 1, -2, 0, 0, 0, 4, 1, 1, 1, -1, 1, 0, 1, -1, 0, 2, -1, 0, -1, 1, 0, 0, 1, 2, -1, -1, 0, 1, 4, 2, -1, -1, -1, 1, 0, 0, 0, 1, -1, 0, -1, 1, 1, -1, 1, 0, 0, 1, -1, 1, 2, 4, 1, -1, -1, 2, 0, 2, 0, -2, 1, 0, -2, 0, 2, -1, 1, -2, 1, -1, -1, 1, -1, 1, 6, 0, -1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, -1, -1, 0, -1, 0, -1, -1, -1, 0, 4, -1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, -1, 1, 2, 0, 1, -1, -1, -1, -1, 4, -1, 0, 0, 0, 0, -1, 0, -1, 1, 2, -1, 1, -1, 0, 0, 0, 0, 1, 2, 2, 0, -1, 4, 0, 1, 0, 2, -1, 1, 0, -1, -1, 2, 1, -2, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 6, 0, 0, 1, -2, -2, 2, 0, 0, -2, 1, 0, 2, 4, 0, -1, 0, 2, 0, 0, 0, 1, 0, 6, -1, 0, 1, 2, 0, 0, 1, 2, -2, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -2, 2, -2, -1, -1, -2, -1, 0, 2, 1, 2, -1, -1, -1, 2, 0, -1, -1, 0, 2, 6, 2, -1, 2, -3, 2, -2, -1, 1, -1, 2, -1, 3, 1, -2, -2, 1, 2, -3, -1, 2, 0, 2, 4, 1, -1, -2, 2, -1, 1, 0, 0, 1, -1, 1, 2, -1, -1, -1, 2, 0, -1, 2, -2, -1, 1, 4, -2, 1, 1, 0, 2, 0, 1, -2, -1, -2, 1, 0, 0, -2, 1, 2, 1, 1, 2, 2, -1, -2, 4, 0, -1, 0, -2, 1, -1, 2, 0, 1, 0, 0, -1, 2, 0, -1, -1, 0, -2, -3, -2, 1, 0, 4, -1, 2, 1, 0, 0, -2, 0, -2, 0, 2, 1, -1, -1, 2, 1, -1, -1, 2, 2, 1, -1, -1, 4, 0, 1, 0, 0, -1, -2, 0, 2, 0, 0, -1, 2, 0, -1, 2, -1, -2, -1, 0, 0, 2, 0, 4, 0, -1, -1, 0, 0, -1, -1, 1, 2, 0, 0, 2, -1, 0, -2, -1, 1, 2, -2, 1, 1, 0, 4, 1, 0, -1, 0, -2, 2, 1, 0, -2, 1, 2, 1, 1, -1, 1, 0, 0, 1, 0, 0, -1, 1, 4, -1, 0, -1, 0, 2, 1, -1, 0, 0, -1, 1, 0, 0, -1, 0, 1, -1, 0, 0, -1, 0, -1, 4, -2, 1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 2, 2, 1, -2, 2, -2, -1, 0, -1, 0, -2, 6, 1, 2, 0, -1, 0, 1, 0, -2, -1, 1, 1, -1, -1, -1, 0, 0, -2, 0, 0, -1, 1, 1, 4, 1, -1, -1, 0, 0, -1, 0, 0, 0, 2, 3, 1, -2, 1, -2, 0, -1, -2, 0, 0, 2, 1, 6, -1, -1, 0, 0, -1, -3, 0, 1, -1, 1, 2, 1, 0, 0, 2, -1, 2, 2, 1, 0, -1, -1, 6, 0, 0, 0, 1, 1, -1, 1, -1, -2, -1, 0, 0, 2, 0, 1, 1, 1, -1, -1, -1, -1, 0, 4, 1, -1, -1, 1, 1, 0, -1, -2, -1, 0, -1, 1, 0, 2, 0, -1, 1, 0, 0, 0, 0, 1, 4, 0, -1, 1, 0, 0, 2, 1, -1, -2, 2, -1, -1, 0, -2, 0, 0, 1, 0, 0, 0, -1, 0, 4, 0, 0, -1, -1, 0, 2, 2, 1, 0, -1, 2, 0, 1, 0, 0, 0, -1, -1, 1, -1, -1, 0, 4, 0, -1, 2, -1, -3, 0, 2, -1, 2, 0, 2, 2, -1, 1, -2, 0, -3, 1, 1, 1, 0, 0, 6, 0, 0, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 0, -1, 0, 0, -1, 1, 0, -1, -1, 0, 4, -1, 0, 2, 2, 1, 0, -1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, -1, 2, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -2, -1, 1, -1, -2, -2, 1, 0, -2, 1, 1, -1, 1, 0, 1, 0, 0, 0, -1, -1, 4, 1, 0, 2, -1, 0, 1, 2, 0, 1, -1, 0, -2, 1, 0, -1, -2, -1, -1, -1, -1, -2, 1, 4, 2, 0, -1, 1, 1, 1, -1, 1, 2, -1, -1, 0, -1, 0, -1, 0, -1, 0, 1, -2, 0, 2, 4, -1, -1, 2, 0, 1, -2, 0, 2, -1, 0, 1, -2, -1, 0, 1, 0, 0, 0, -1, 2, 0, -1, 6, 1, 1, 2, 0, 1, 1, 0, 2, -2, 2, 2, -2, -2, 1, 1, 1, 1, 1, -1, -1, -1, 1, 4, 1, 1, -2, 1, -1, 1, 1, -1, 0, 1, -1, -1, 1, 0, 0, 1, -1, 0, 1, 2, 1, 1, 4, 0, -1, -1, 0, 1, 1, 0, 2, -1, -2, 0, 2, 0, 0, 0, -2, 1, 1, 0, 2, 1, 0, 4, 0, 0, 0, 2, -1, -2, 1, 0, 0, -1, -1, 0, 0, 2, -2, 2, 1, 1, 0, -2, -1, 0, 4, -1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0, -1, 1, 0, -1, -2, 1, 1, -1, 0, -1, 4, -1, -2, 1, 0, 0, 1, 1, 0, -1, -1, 1, 1, 0, 1, 1, 0, 1, -1, 0, 0, 0, -1, 4, -1, -1, 0, 0, -1, -1, 0, 1, 1, 0, 0, -2, -1, 2, 2, 0, 1, 1, 2, 0, -2, -1, 6, -1, -2, -1, 0, 0, -1, 1, 1, -1, 1, 1, 0, -1, -1, 2, 1, 1, -1, -1, 1, -1, -1, 4, 0, 1, 2, -1, -1, 1, 0, 1, 0, 1, -2, -1, 0, -2, -1, 0, -2, -1, 0, 0, -2, 0, 4, 0, -1, 1, 2, 0, 0, 1, 0, -1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, -1, 1, 0, 4, -1, -2, 0, 0, 0, 1, 1, 1, 0, -1, -2, 2, 1, -1, 0, 0, 1, -1, 0, 2, -1, -1, 4, 0, -1, 0, 0, 1, 0, 0, -1, 0, -1, -2, -1, -2, 0, 0, 1, -1, 0, -1, 1, -2, 0, 4, 1, -2, -1, 0, 0, 1, -2, -1, 0, -2, -1, 0, -1, -1, 0, 0, -1, -1, 2, 0, -1, 1, 4, 0, 1, 1, 0, 0, -1, 0, 1, 1, 1, 2, -1, -1, -1, 1, 1, 1, 0, 0, 0, -2, 0, 4, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 4, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 1, 1, 0, 1, 0, 1, 4, 1, -1, -1, 1, 0, 1, 1, 0, 2, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 2, 1, 0, -1, 0, -1, 1, 0, 0, 1, 2, 2, 2, 1, -2, -1, -2, -2, 4, 2, -1, 1, -1, -1, 1, 0, 0, 1, 0, 1, 0, 1, -2, 0, 0, 0, 2, 1, 0, -2, 2, 4, -1, 2, 0, -2, 0, -1, 0, 0, -1, 1, 1, 0, -2, -2, -2, 1, 0, 1, 0, 1, -1, -1, 4, 1, 2, 2, -1, -1, -1, 0, 1, -2, 1, -1, -1, 0, 2, -1, -2, -2, 1, -1, 1, 2, 1, 4, 0, -1, 0, -2, 0, 0, 1, -1, 2, 0, -1, -1, -1, -1, 0, -1, 0, 2, -1, 0, 2, 0, 4, 0, 0, -1, 0, -1, 1, -1, 1, 0, -1, 0, 2, 1, -3, -1, -1, 1, -1, -2, 2, -1, 0, 6, 0, 1, -1, 1, 1, 0, -2, -2, 0, 0, 1, 1, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, 4, -1, -1, -1, 1, 0, 1, 1, 1, 0, -1, -1, 2, 0, -2, -1, 0, -1, -1, -2, -1, 1, -1, 6, 2, 2, -1, 1, -1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, 2, 4, 0, 0, 1, 0, 0, 1, 1, 1, 1, -1, 0, 1, -1, 1, 0, 0, 0, -1, 1, -1, 2, 0, 4, 0, 0, -1, -1, -1, 0, -1, -1, 1, 0, 1, 1, 0, -1, 1, 1, 1, 1, 1, -1, 0, 0, 4, -2, 0, 1, -1, 1, 2, -1, -1, 0, -2, 0, 1, 1, -2, -1, -1, 0, 0, 1, 1, 0, -2, 4, -1, 0, 1, 0, -1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, -2, 1, -1, 0, -1, 0, -1, 4, 1, 1, 0, -1, -2, 0, -1, 0, 1, 1, 0, -1, 0, 0, -2, 1, 0, 0, -1, 1, 0, 1, 4, 1, 1, 1, -1, 0, 1, -2, 2, -2, -2, -1, -1, -1, 0, 1, 1, 1, -1, -1, 1, 1, 1, 6, 2, -1, -1, 1, -1, 0, 2, 0, -2, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 4, 2, 0, 0, 0, 0, 2, 0, -2, 2, -1, 2, 1, -1, 0, 1, -1, 2, -1, -1, 1, -1, 2, 6, 1, -2, 0, 0, 1, 0, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 2, -2, -1, -1, 0, 1, 6, -2, 1, -1, -2, 2, 0, -2, 0, -3, 0, 2, 1, -1, 1, -1, 1, 0, 0, 1, 0, -2, -2, 6, 1, 0, -1, 1, 1, -2, -1, -1, -1, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 0, 1, 1, 4, -1, -2, 0, 0, 1, 0, -1, -1, -2, 1, 1, 1, -2, 0, 0, -2, 0, 0, 0, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 1, 0, -2, -1, -2, 0, -1, 1, -2, 0, -1, 1, 1, -1, -1, -2, -1, 0, -2, 4, 1, -1, 1, 1, 2, 1, 2, 1, -1, -1, 1, 1, 0, -1, 0, 0, 1, 2, 0, 1, 0, 1, 4, 1, 2, 1, 1, 2, 1, -1, -2, -2, 0, 1, -2, -1, 2, -1, 1, 2, 1, 2, 1, -1, 1, 4, -1, 1, -1, 1, -1, 0, -1, -1, -1, -1, -1, -1, 1, 1, 1, 0, 0, -1, 1, 1, 2, -1, 6, -1, 1, 2, 0, -2, 0, 0, -1, 2, -2, -1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, -1, 4, 0, 0, 1, 1, -1, -2, 0, -1, 0, -1, 0, 0, 1, 0, -1, 0, -2, 2, 1, -1, 1, 0, 4, 2, 2, -1, 0, -1, 2, 0, 1, -1, -1, 0, 1, 1, 0, 0, -1, 1, 2, 1, 2, 0, 2, 4, 1, -2, 0, -2, 1, 0, -1, -2, 1, 0, 2, 2, 0, 0, -2, 2, 1, -1, 0, 1, 2, 1, 4, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, -1, 0, -2, 1, -1, -2, 0, 4, -1, 0, -1, -1, 0, 1, -1, 0, -1, 0, 0, 0, -1, -1, -2, -1, 0, -1, 0, 0, -1, -1, 4, 0, 1, -1, 1, -1, -1, 1, 1, 0, -1, -2, 1, -1, -2, -1, 0, -2, -1, -2, -1, 0, 0, 4, -1, 1, 1, 2, -1, 0, -2, -2, 0, 0, -2, 1, 0, -1, -1, 0, 2, 1, 1, -1, 1, -1, 4, 0, 1, 0, -1, 0, 1, 1, 0, 0, 0, 1, 1, -1, 2, -1, 0, 0, 1, -1, -1, 1, 0, 4, 0, 0, 2, 0, 0, 1, 1, 1, -1, 0, -2, -1, -2, 0, 1, -1, 1, 0, 1, 1, 1, 0, 4, 0, -2, 1, -1, -2, 0, -1, 1, -1, -1, -1, -1, -1, -1, -2, 0, 1, -1, 2, 0, 0, 0, 4, -1, -1, -2, -1, 1, 1, 1, 0, 2, 1, 2, 0, -1, 1, 0, -1, -1, -1, -1, 2, -2, -1, 4, 0, 1, 2, 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 4, 0, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 2, 0, -1, 1, -2, 1, 0, -1, -2, 1, 0, 4, 1, -1, -1, -2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, -2, 1, 1, -2, -1, 2, 1, 1, 6, 2, 1, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, 1, 1, -1, 2, 4, 1, 0, 1, 2, -1, 1, 0, 0, 0, 1, 0, -2, 0, 0, 1, -1, 1, 1, -1, -1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 1, 2, 1, 0, -2, 0, -1, -1, 1, -1, 1, -2, 1, 0, 1, 1, -1, 0, -2, 4, 2, 1, 0, -1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, -2, -2, 1, 0, -2, 2, 4, 2, 1, -1, -1, 0, 2, 1, 1, 1, 0, 1, -1, 1, -1, 1, 0, 0, 1, -1, -1, 1, 2, 4, 2, 1, 1, 0, 1, -1, -1, -1, 0, -1, -2, -1, 1, 2, 0, 0, -1, 1, 1, 0, 1, 2, 6, 2, 0, 1, 1, -2, -2, -1, 2, -2, -2, -3, 0, 3, 0, 1, -1, -1, 2, -1, -1, 1, 2, 6, 3, -1, -1, -2, -1, -2, 1, -1, 0, -3, 3, 1, 1, 2, -2, 0, 1, 1, -1, 1, 0, 3, 6, -1, -1, 0, 1, -3, 1, -1, -1, -2, 3, 0, -1, 1, -2, 0, 0, 1, 0, 0, 1, -1, -1, 4, 0, 0, -1, 0, 1, -1, 1, 2, -1, 1, 0, 0, 0, 1, -2, 2, 2, 1, 1, -1, -1, 0, 4, 1, 1, 0, -1, 1, -1, 1, 0, 1, -2, -2, 1, 0, 0, 1, 1, -1, -2, -2, 0, 0, 1, 4, 2, 0, -1, 2, 1, 2, 0, -1, -1, -1, 1, 0, -1, 2, 1, -1, -2, -1, 1, -1, 1, 2, 4, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 0, 1, -1, -1, -2, -3, 0, 0, 0, 1, 4, 0, 0, 1, 1, -2, 0, 1, -1, 1, -1, 1, 0, 0, 0, 2, 1, 1, 1, -1, -1, -1, 0, 4, -1, 0, -1, 0, 1, 1, 2, 0, -1, -1, 0, 1, -1, -2, -1, -1, -1, 1, 2, 1, 0, -1, 4, 0, 2, -1, -1, 0, 0, 2, -1, 1, 0, -1, -2, -2, 0, -1, 1, -1, 1, 1, 1, 0, 0, 4, 2, 1, -1, 1, 0, 1, 1, -2, 2, 1, -1, -3, -3, -2, 2, 1, 2, 1, 1, -1, 2, 2, 6, -1, -1, -1, -2, 2, 1, 1, 1, -1, 1, 0, 3, 3, -1, 0, 0, 1, -2, 0, -1, 1, -1, 6, 1, -1, 0, -1, 1, 0, 1, 1, 2, 3, 1, 0, 1, 1, -1, -1, 0, 1, -1, -1, -1, 1, 4, 0, 0, 0, 0, 1, -2, 0, 0, 0, 1, -1, 0, -2, -1, -1, 1, 1, 0, 1, -1, -1, 0, 4, 2, 0, 0, 1, -2, 0, 0, 1, 2, 1, 0, -2, -1, -1, -1, 2, 0, 0, -2, 0, 0, 2, 6, 0, -1, -1, 1, 1, -1, -1, -2, -2, 0, 1, 1, 1, 1, 0, 2, 1, 2, -1, 0, 0, 0, 4, -1, 0, 0, -1, 1, -1, 0, 0, 1, 0, 0, -1, -1, -1, -1, 1, 1, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, 1, -2, 2, 0, 2, 0, 0, -2, 2, 1, 1, -1, 2, -2, 1, -1, 2, 1, -1, 4, -2, 2, -2, 1, -1, 0, 1, -1, -1, 2, 0, 0, 1, 0, -1, 1, -2, 0, 1, 1, 2, -2, 4, -2, 1, -1, 0, -1, 0, 1, 0, -1, 2, 0, 0, 0, 0, -2, 1, -1, 1, -1, -1, 2, -2, 4, -2, 2, -1, 0, -1, 0, 0, 2, -2, 1, 0, 0, -1, 0, 0, 0, 1, 0, 1, -2, 1, -2, 4, -1, 2, 0, 0, 0, 1, -2, 1, 0, 0, 0, 1, -1, 1, -1, -1, 0, -2, 1, -1, 2, -1, 4, -2, 0, -2, 0, 0, 1, -1, -1, 0, 0, -2, 0, 0, 0, -1, 0, 2, -1, 0, -1, 2, -2, 4, 1, 2, -1, 0, -2, 0, 1, 1, -1, 2, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 4, 2, -2, -1, 0, -2, 0, 1, 1, 0, 0, -1, 2, 1, 1, 2, 1, 0, -1, 0, -2, 2, 2, 6, -1, 0, -1, 1, 1, 1, 0, 1, 0, -1, 0, 3, 1, 0, -1, 1, 0, 0, 0, -1, -2, -1, 4, 0, 1, 0, 1, -2, -1, 1, 0, 2, -1, -1, -1, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 4, -2, 1, -1, 0, 1, 0, 0, 1, 0, -1, -1, -2, 2, -1, 2, -2, 1, -2, 0, -1, 1, -2, 6, -3, 0, -2, -1, -2, 0, -1, 0, 1, 0, 2, 0, 2, -2, 1, -1, 0, -2, 1, 0, 1, -3, 6, -1, 2, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, 1, -1, 0, -1, 4, -1, 0, 1, 0, 0, -1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, -2, 0, -2, 2, -1, 4, 0, 0, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 4, 0, 1, -1, 1, 0, 0, 2, -1, 0, -1, 1, -2, 2, 0, 1, 1, 0, -2, 1, 1, 0, 0, 4, 0, 1, 0, 0, 1, -2, 1, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 4, -1, 1, -1, 0, 1, -2, 1, 0, 1, 0, 0, -1, -1, 2, 1, -1, 1, 0, 0, -1, 1, -1, 4, -1, -1, 0, -1, 0, -1, 0, -1, 0, 0, 2, 0, -1, 0, 0, -1, -1, 1, 1, 0, 1, -1, 4, 0, 0, 2, 1, 1, 1, -1, -1, 1, 1, 3, -1, -1, 1, 0, 2, 0, 0, 0, -1, -1, 0, 6, 0, 1, 1, -1, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, -1, 0, 1, -2, 1, -2, 1, 0, -1, 0, -1, 1, -2, 0, 0, -1, -1, -2, 0, -1, 4, -1, 0, 0, -2, 2, -2, 1, -1, 0, 2, 0, 0, -2, -1, -1, 1, 0, 1, 0, 0, -2, -1, 6, 0, 2, -1, -1, 0, 0, 1, -2, -1, 2, 2, -1, 1, 0, -2, 0, 0, -1, -2, -1, 0, 0, 4, 1, -1, -1, 1, 2, 0, -1, 0, -2, -1, 0, -1, 1, -1, 0, 1, 1, 0, 0, 0, 2, 1, 4, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, -2, 1, 0, -1, -1, -2, -2, 1, -2, -1, -1, 0, 4, 1, 0, 0, 1, 0, 0, -1, -1, 1, 0, 1, 1, -1, -2, -1, 1, -2, 2, -1, -1, 0, 1, 6, -3, 2, 0, 0, 3, 0, -1, -1, 1, 1, 3, -1, 0, 1, 1, 1, -2, 0, 1, 0, 0, -3, 4, 0, 0, 0, -1, -1, 1, 1, 0, 1, -1, 1, -1, 0, -1, -2, 1, 0, 2, 0, 0, 2, 0, 6, -1, -1, 2, -1, 0, -1, -1, 0, 1, -1, 1, 0, 1, 1, -1, 1, 0, 1, 1, 0, 0, -1, 4, -2, 0, 0, -1, -1, -1, 2, 0, -2, -1, -1, -1, 0, 0, -2, -1, -2, 0, 0, 0, -1, -2, 4, 0, 0, 1, 1, 1, -1, 0, 2, 1, 1, 1, -1, 2, -1, 0, 0, 0, 3, -1, 2, 0, 0, 4, 0, 0, -2, -1, 0, 1, 0, 0, 0, 0, 0, 0, 2, -2, 0, -1, 0, -1, -1, 0, 0, 0, 4, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 2, -1, 0, -1, -1, 1, 0, -1, 1, 0, 1, 4, -1, 1, -1, -1, 1, 0, 0, -1, 1, -2, -1, 0, 0, 1, -1, 1, -1, -1, 1, -2, 0, -1, 4, 0, 0, 0, 1, 0, 0, 1, -2, -1, 1, -1, -2, 0, 1, 0, -1, -1, 1, -1, 0, 1, 0, 6, 1, 0, 1, 0, 3, 1, 0, -1, 0, 1, 1, 1, 1, 1, 0, 2, -1, 0, -1, -1, 0, 1, 4, 1, -1, -1, 1, 0, 0, 1, -2, -1, 0, 1, 3, -1, 1, 0, 0, 1, 0, -1, 0, 0, 1, 4, -1, 0, 1, 1, -1, 0, 0, 0, -1, -1, -1, 1, -1, -2, 2, 0, 0, 1, 1, 1, -1, -1, 4, 0, 1, 0, -1, 1, 0, 1, -1, -2, 0, -1, 1, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 4, 2, 1, -2, 0, -1, 1, -2, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 3, 1, 1, 1, 2, 6, 1, 0, 0, -2, 0, -2, 1, 1, -1, 1, -1, 1, 0, 0, -1, 1, 1, 0, 1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 0, 0, -2, 1, -2, 1, 0, -1, 1, 2, 1, -1, -1, 1, -1, 1, -1, -1, 2, 2, 4, 2, 0, 1, -2, 1, -1, 2, 1, 0, 1, 2, -1, 0, -1, 2, -1, 1, -2, 0, 1, 2, 2, 4, 1, 1, -2, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 4, -1, -1, -2, 1, -2, -1, 2, 1, 1, 1, 1, 2, -1, 0, 0, -1, 1, 1, 0, 1, 1, -1, 4, -1, 0, -1, 1, 2, 0, -1, -1, -2, -1, 0, 0, -1, 0, 1, -1, 0, -2, -2, -2, -1, -1, 4, -1, 1, 0, -1, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, -2, 1, 1, 0, -2, 0, -1, 4, 0, 2, 0, -2, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, -2, -1, 0, 1, -1, 1, 0, 4, -1, 0, 1, 0, -1, 0, 1, 1, 1, 1, -1, 0, 1, -1, 1, 2, 0, -2, 1, 0, 2, -1, 4, 0, -1, 1, 1, 0, 0, -1, 1, -1, 0, 0, -1, 0, 0, 1, 1, -1, 2, -1, 0, 0, 0, 4, -1, -1, -2, -2, -1, -1, 0, -1, 1, -1, 1, 1, -1, 0, 1, 2, 0, 0, -2, 1, -1, -1, 4, 0, 0, -1, 1, 1, 1, 1, -1, 0, 1, -1, 1, 1, 0, 1, -1, -1, 1, 0, 1, -1, 0, 4, 1, 2, 1, 0, -1, -1, -1, 0, -1, 1, 2, 2, 0, 1, -1, -1, 1, -1, 1, -2, 0, 1, 6, 2, 0, 0, 2, -1, 0, -1, -1, 0, 1, -1, -1, 1, -2, 1, 0, 0, 0, -2, -1, 2, 2, 6, 1, 0, -2, -2, -1, 1, -1, 1, -1, 0, -1, 1, -1, 1, 0, 1, 0, -1, 1, 1, 0, 1, 4, 1, -1, -1, 0, -1, 1, 0, -1, -1, 0, 2, 0, 1, -1, 1, -1, -1, 1, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, -1, 0, 0, 1, 1, 1, 0, 1, -1, 2, -2, -1, 0, 6, 1, 0, -1, 0, -1, -1, -1, 0, 0, -1, 0, 0, 1, -1, -1, 1, -1, -1, -2, -1, 0, 1, 4, 0, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, 0, -1, 0, 0, 0, 0, 4, -3, 1, 1, -1, -2, 0, -1, 1, 0, 1, 0, 0, -1, 0, 0, -1, 1, -1, 0, -1, 1, -3, 6, -1, -1, -1, 0, 0, 1, -1, 0, -1, 1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 1, 1, -1, 4, 0, 2, 1, 1, 1, 0, -2, 0, -1, 0, 1, -1, 1, 0, 1, 0, 0, -1, -1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, -2, -2, 2, 1, -2, 2, 0, 0, 2, 1, 2, -2, 2, -1, 1, 0, 0, 0, 0, 4, 2, 1, 0, 1, 1, 0, 1, 0, -1, -1, 1, 0, -2, 1, 0, -2, -1, 1, 1, 1, 0, 2, 4, 2, -1, 1, -1, 1, 0, 1, -1, 0, 0, -1, -2, 1, 1, -2, 0, 1, 0, 0, 0, 1, 2, 4, 1, 2, -2, -1, 0, -1, 1, 0, 0, 1, -1, 2, -1, -1, 0, -1, 0, 0, -2, 0, -1, 1, 4, 2, -2, -2, 1, -3, 1, -1, 0, 1, 0, 2, -3, 0, -1, -1, 1, 1, -2, 1, 1, 2, 2, 4, -2, -2, 2, -2, 1, -1, 0, 1, -2, 2, -2, -1, -1, 0, 0, 0, 2, 1, -1, -2, -2, -2, 6, 0, 1, 3, -1, 0, 1, 0, 1, -2, 3, 0, 1, 2, 1, 0, 1, 0, 1, -1, -2, -2, 0, 6, 0, 1, -2, -1, 0, 0, 2, -3, 1, -1, 2, 0, 1, -1, -2, 1, 0, 0, 1, 2, 1, 0, 6, -2, -1, 0, 0, 0, 0, -1, -2, 0, -1, 2, 1, 1, 2, 0, 1, -1, -3, -2, 3, 1, -2, 6, 0, 1, -1, -1, -1, 0, 3, 0, 1, 1, 0, -2, 0, -1, -1, 1, 1, 1, -1, -2, -1, 0, 4, 1, 0, 1, 0, 1, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, -1, -1, 0, -1, 0, 1, 1, 4, -1, -2, -1, 0, 1, 2, 0, 0, -1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 4, 1, 2, -2, 1, -1, 0, 1, 1, 2, 1, 0, -1, 1, 1, 1, 0, 0, 0, -1, 1, -2, 1, 4, 1, 0, -1, -1, 0, -1, 1, 0, 2, -2, -2, -1, 0, -2, 1, 2, 0, -1, 0, -1, 2, 1, 6, -4, 0, 0, 2, 0, 0, 1, -2, 1, 1, 2, 2, 2, -2, -3, -1, 0, 1, 0, -2, 0, -4, 6, -1, 0, -2, -1, 0, 0, 2, 0, 1, -1, -3, -2, 3, 1, -2, 3, 0, 1, 1, -1, 0, -1, 6, 0, 2, 1, 0, 0, -1, -2, -2, -1, 0, -1, 0, -1, 0, 0, 1, 2, -1, -1, 0, 0, 0, 4, 0, 0, 0, 0, 1, -1, 0, 0, -1, -1, 1, 2, -1, 1, 0, 0, 0, 0, 2, -2, 2, 0, 4, -1, 0, -1, 0, 1, 1, -1, -1, 0, 2, 0, 2, 1, -1, 0, 1, -1, 0, -1, 1, 0, -1, 4, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 1, 4, 0, 0, 1, 0, 0, 1, 0, 0, -1, 1, -2, 0, 0, 2, 0, 1, 0, 0, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, -1, -1, 2, -1, 2, 2, 1, -1, -2, 0, 0, 0, -1, 1, 0, -1, -2, -1, 0, 4, -2, 2, 0, -2, 1, 0, 1, 1, 2, -2, 1, 0, -1, -2, -1, 0, -2, 0, 0, 1, 1, -2, 4, -1, 1, 2, 1, 0, -1, -1, -1, 2, -2, 1, 0, 0, 1, -1, 2, 1, 0, -2, 1, 2, -1, 4, 1, -2, 0, -1, 1, 0, 2, -1, -1, -1, -1, -1, -2, 0, -2, 0, 0, 0, -1, 0, 1, 1, 4, 1, 0, 1, 0, -2, 0, 0, -1, -1, 0, 0, -1, -2, 0, 2, 0, -1, -1, -2, 2, -2, 1, 4, -1, 0, -2, -1, -1, 2, -1, 1, 0, 1, 2, 0, 1, 0, 1, -1, 2, 1, 1, 0, 0, -1, 6, 2, 3, 0, 0, -1, -2, 0, -1, 0, 0, -2, 0, 2, -2, -1, -1, 0, 0, -1, 1, 0, 2, 4, 0, -2, -1, 0, 0, 0, -1, 1, 0, -1, 1, 1, 0, -1, 2, 1, -1, 1, 0, -2, 3, 0, 6, 0, 1, -2, -2, 0, -1, -1, -2, -2, -1, 2, -3, 0, 2, 1, -1, 0, -2, -1, 0, -2, 0, 6, 2, -2, 0, 0, 1, 0, -1, 3, -1, -3, -1, 0, 1, 2, -1, 2, 0, -1, 0, -1, 1, 2, 4, -2, -1, 1, -1, -1, -2, 0, -2, 0, 0, 0, -1, -2, 2, -1, 0, 2, -1, 0, -2, -2, -2, 4, -1, 0, 0, 1, 2, 0, 1, 0, 1, -1, -2, 1, -2, -1, -1, -1, -2, 0, -2, 0, -1, -1, 6, 0, 1, -1, 1, 0, 1, 0, 1, 2, 0, 0, 1, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 4, -1, -1, 0, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, 0, -1, -1, -1, 1, -1, 0, 1, -1, 4, 1, 0, 0, 0, -1, 0, 1, 0, -2, 0, -1, 0, 1, 0, 1, -1, 0, -1, 1, -1, -1, 1, 4, 1, 1, 0, -1, 0, 0, -1, -1, 1, -2, -1, 2, 0, 0, -2, -1, -2, 2, 1, 0, 0, 1, 4, 0, 1, 0, 1, 1, 1, 0, -1, 0, -2, 0, -2, -1, -2, 3, 0, 0, 0, 0, 0, 1, 0, 6, 0, -4, 1, 0, 0, -2, 2, -2, 0, 1, 0, 1, -1, -1, -2, 1, 1, 1, 0, 0, 1, 0, 4, 0, 0, -1, -1, 0, 1, 0, 2, 0, 2, 1, 2, -3, 0, 0, 0, 0, -1, -1, 0, -4, 0, 6, 0, 0, -2, 0, 0, 0, 0, 1, -2, 0, -3, -1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 4, 0, -1, 1, -2, 0, -1, -1, -1, -1, 0, 0, 0, -1, 2, -1, 1, 0, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, -2, -2, 1, 2, 0, 2, -1, 1, 1, 1, 1, -1, -1, 0, -2, 0, 1, 4, 0, -1, 2, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, 1, 0, -1, -1, -1, 1, -1, 0, 4, -1, 0, 0, 2, 1, 1, 0, -1, 0, 2, 1, -1, 0, 1, 2, -1, -1, 2, 1, 1, -1, -1, 4, -1, 1, -2, 0, 0, 1, 2, 1, 0, 0, 1, -1, 0, 0, 0, -1, -2, 1, 1, 2, 0, -1, 4, 2, -1, 0, 1, 1, -2, -1, 0, 0, -1, 2, 0, 0, -1, 0, -1, 0, 2, 1, 0, 1, 2, 4, -2, 0, 2, 2, -1, 1, 0, 0, 1, 1, 0, 0, -2, 0, -2, 0, -2, 0, 2, -2, -1, -2, 4, 1, -1, -2, 0, 0, 1, 0, -1, -1, 0, 1, 0, 0, 2, 0, -2, 0, 1, 0, 0, 0, 1, 4, 0, -1, -1, -1, 1, 0, -1, -1, -1, 0, -1, -1, 0, 1, 1, 1, 1, 0, 1, 2, -1, 0, 4, 0, -1, 1, 1, 0, 1, 2, 0, 1, 0, -1, -1, 1, 2, 0, 0, 1, 1, 2, -2, -1, 0, 4, -1, 0, 0, 1, 1, 0, 1, -1, -1, 0, 0, -1, 0, -1, -1, 2, -2, -1, 0, -1, -1, -1, 4, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, -1, 1, 0, -1, 1, 0, 1, 4, -1, 1, 1, 0, 1, 0, -1, 0, -1, 1, -1, 0, 2, 0, 0, 0, 1, 1, 1, 0, -1, -1, 4, -1, -1, -1, -1, 1, 0, -2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 4, 0, 0, 1, -1, -1, -1, 1, 1, 1, 0, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 0, 4, 1, 0, -1, 1, 1, 0, 0, 1, 1, 0, -1, 2, 1, -1, -1, 2, 0, -1, 0, -1, 0, 1, 4, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 1, -1, 1, 0, 0, 4, 1, -1, 0, 0, 1, -1, 0, 2, 0, 0, 0, 1, 0, 1, -1, 0, 0, 1, -1, -1, 0, 1, 4, 0, 0, 0, 1, -1, -1, -1, 0, -1, -2, 0, -1, 0, -1, 1, -1, 0, -1, 1, 1, -1, 0, 4, 0, 1, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, -2, -1, 1, 1, 0, 0, 0, 4, 1, -1, -2, -1, 2, -2, -1, -2, 2, 0, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, 1, 6, -1, 0, 1, 1, 1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, 0, 1, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, -2, -1, 1, 1, 1, 0, -1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, -1, -2, 4, 2, -2, 2, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 1, -1, 0, -2, 0, -1, 0, -2, 2, 4, 0, 2, 1, -1, 0, 1, 0, 0, -1, -1, 1, -1, 0, -2, -1, -2, 1, 1, 0, 2, -2, 0, 4, 0, 1, 1, 1, 2, 0, -2, 1, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, -2, 2, 2, 0, 4, 0, -1, -1, 1, 0, 0, 0, 0, 0, -2, 1, -2, -1, -3, 1, 0, 1, -1, 0, 1, 1, 0, 4, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, 0, 1, -1, 1, -1, -1, 1, -1, 0, 4, 2, 1, -1, 0, 1, 0, 1, 2, -2, 2, 1, 2, -1, 1, -1, 1, -1, 0, 1, -1, 0, 2, 4, 2, 0, 0, 1, -1, 2, 2, -2, 1, 0, 2, 0, 0, -2, 1, 0, 1, 2, 1, -1, 1, 2, 6, 1, 0, 2, 0, 0, 1, 0, -1, -1, 1, 1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 1, 4, -1, 1, 1, -1, 0, 0, 0, 1, 1, -1, -1, -1, -1, 1, 0, -2, 0, -1, 0, 0, 0, -1, 4, 0, -2, -1, 0, 1, 0, -1, -1, 0, 0, 1, 1, 0, -1, 1, 0, 0, 1, 1, 2, 1, 0, 4, -1, 0, 0, 0, 1, -1, 1, 1, 0, 0, 1, -1, -1, 1, 0, -1, 0, -1, 0, 1, -2, -1, 4, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 1, 1, 0, 0, 1, 2, 0, -1, -1, 0, 0, 4, 0, -2, 0, -1, 1, 1, 0, 0, 1, -1, -1, 0, -2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 4, -2, 1, 2, 3, -2, 0, -2, 0, 1, 0, -1, 1, -1, -2, -2, 0, 0, 1, 0, 0, -2, -2, 4, 0, -1, -2, 1, 0, 2, 2, -1, -2, 0, -2, -1, 2, 1, -1, 0, 0, 1, 0, 0, 1, 0, 4, 1, 2, -1, 0, 0, 0, 0, -1, -1, -1, 0, 1, 0, -1, 1, -1, -1, 1, -1, 2, -1, 1, 4, 2, -2, 0, -1, 2, -2, -2, 0, -3, -1, 2, 2, 1, 1, -1, 1, 1, 1, 3, -2, 2, 2, 6, -2, 0, -1, 0, 0, 1, 1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 1, -2, 1, -1, -2, -2, 4, 1, 1, 0, -1, 1, 1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, -1, 0, 0, -1, 1, -1, -1, -2, -1, -1, 1, 0, 0, 0, -2, 2, 0, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 1, 0, -1, 1, 1, 1, -2, -1, 1, 0, -1, -1, 0, 0, -1, 0, -1, 0, 0, 4, 2, 1, -2, 1, 0, -2, 2, 1, 1, 2, 0, 0, -1, -1, 2, 0, 1, 0, 0, 0, 1, 2, 4, 0, -1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, -1, 1, 1, -1, -1, 2, 1, 0, 4, -1, 1, -1, -1, 1, 0, 0, 1, 1, 0, -1, 0, 1, 1, -1, -1, 0, 1, 1, -2, -1, -1, 6, 0, -2, 1, -1, -2, -2, -3, 1, -2, 2, -1, -1, 1, 1, -1, 0, -2, 0, 1, 0, 1, 0, 4, 1, -1, 1, -1, 0, 2, -1, 0, 1, 1, -1, -1, 0, 1, 1, 0, -1, 0, 0, -1, -2, 1, 4, 1, -1, 1, 0, 2, -1, 1, 0, 1, -1, -1, -1, 1, 0, 1, 1, -2, 0, -1, 1, -1, 1, 4, -2, 0, -1, -2, 1, 0, 0, 1, -2, 0, -1, 0, 0, -1, 1, 2, 2, 1, -1, 1, -1, -2, 4, 1, 0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 1, 1, 1, 0, -2, -1, 1, 0, 1, 4, 0, 1, -1, 1, -1, 0, 1, -1, -1, 1, 0, 0, -2, 1, 1, 0, -2, 0, 0, -1, 0, 0, 4, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, -1, 2, 1, 1, -3, 2, 2, -2, 1, 1, 1, 6, -2, 2, 0, 1, 0, -2, -1, 2, -1, 1, 1, 0, 1, 1, 1, -1, -1, 1, 0, -1, 0, -2, 4, -2, 0, 0, 0, 2, 1, -2, 0, -1, 0, 0, 0, 0, -2, 0, 1, 0, 0, 1, 0, 2, -2, 4, 0, 0, 0, -1, -2, 1, 0, 1, -1, -1, 0, -1, 2, 1, 0, 0, 0, -1, 0, 0, 0, 0, 4, 1, -1, -1, 0, 0, 1, -1, -1, -1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 4, -1, -1, -1, 1, 1, 0, 0, 2, 1, 1, -1, -1, -1, -2, 1, 1, 1, 0, 0, 0, -1, -1, 4, 1, 1, -1, 0, 1, 0, 0, -1, 1, 1, -1, -1, 0, -1, -1, 0, -2, 2, -1, -1, -1, 1, 4, 1, -2, 1, 0, -1, 1, 1, -1, 1, 0, -1, -1, 0, -1, 1, -1, 1, -2, 0, -1, 1, 1, 4, -1, 0, -1, 0, 0, 1, -1, -1, 1, 1, 0, 1, 1, 0, 2, -2, 1, 0, 1, -1, -2, -1, 4, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 0, 1, 0, 0, 4, -1, 0, 0, -1, 1, -2, 0, 1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 1, 1, 2, 0, 1, 1, 1, 1, 0, -2, 1, -2, 0, 1, 1, 0, 1, 1, 4, -2, 2, -2, 0, 0, 0, -1, 0, 0, -1, -1, 0, -1, 1, 0, 1, 0, 0, 1, 0, -1, -2, 4, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 2, 0, 0, -1, -1, 0, -1, 0, 1, 2, 0, 6, 1, -1, 1, 2, -3, 2, 2, 0, -1, -1, 0, 0, -2, -1, 2, 1, 1, 2, -1, -2, 1, 1, 6, -1, 2, 1, -1, 2, 2, 2, 1, -1, -1, 0, 0, -2, 1, 2, 1, 1, 1, 0, -1, -1, -1, 4, -1, 1, 2, -1, -1, -1, -1, -1, -2, -1, -1, 2, 1, -1, -1, -1, 1, 0, 0, 1, 2, -1, 4, 2, -2, 2, 2, 2, 0, 1, -1, 2, -1, -2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 4, -1, 1, 1, 1, 0, -1, -2, 1, -2, -1, 2, 1, 0, 1, 0, -1, -1, -3, -1, 2, -2, -1, 4, -2, -1, -1, 1, 0, -1, -1, 1, 2, 0, -1, 0, -2, 1, 0, 0, 2, 2, -1, 2, 1, -2, 4, 2, 2, 1, 1, -1, 0, -1, -2, 0, 2, 0, 2, 1, 0, 0, 2, 2, -1, 2, 1, -1, 2, 4, 1, 1, 1, -1, 1, -1, -2, 1, 1, 0, 1, 1, -1, 0, 0, 2, -1, 2, 1, -1, 2, 1, 4, 1, 1, 0, 1, -1, -1, 0, 1, 1, 2, 1, -1, 0, -1, 1, -1, 0, 0, 1, 1, 1, 1, 4, 0, -1, 0, 0, -1, -1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 1, -1, 0, 1, 1, 1, 0, 4, 1, 1, 1, -1, 0, 0, -1, 1, -2, -1, 2, 0, -1, -2, -1, -2, -1, -1, -1, 0, -1, 1, 6, -1, 0, 0, -1, -2, 0, 1, 1, 1, 0, 0, 0, -1, 2, 1, -1, 0, 1, 1, 0, 1, -1, 4, 1, -1, 0, 1, 0, 1, -2, 0, 0, -2, 0, -1, -1, -2, 1, -1, -1, -1, 0, 1, 0, 1, 4, 0, -1, 0, 0, -1, 0, 1, -1, -1, -2, 2, -2, -1, 2, -2, -2, -1, -1, -1, 0, -1, 0, 4, 0, -1, 1, -1, 1, 0, -1, 2, 1, 1, 1, 2, 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 4, 0, 0, 1, 1, 0, 0, 1, 2, -1, 2, 1, -1, 2, 1, 1, 1, 0, -2, 1, 0, -1, 0, 4, 1, 1, 0, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 1, 0, 1, 4, 0, 1, 0, 0, 2, 1, -1, 2, 1, -2, 2, 1, 2, 0, 1, 1, 1, -1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -2, 1, 1, -2, -1, -1, 1, 1, -1, -1, -2, 1, -1, -2, -1, 1, 1, 1, 0, -1, 4, -1, 0, 0, -2, 1, 2, 0, -2, 1, 0, 0, -1, 0, 1, 1, 2, 1, -2, -1, -1, 0, -1, 4, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, -1, 0, -2, -1, 1, 0, -1, -1, 0, -2, 0, -1, 4, -1, -1, 0, -1, 1, 0, -1, -1, 0, 1, 0, 0, 2, -1, 0, 1, 1, -1, 1, 0, -1, -1, 4, 2, -1, 1, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0, 1, 0, 0, -1, 1, -2, 0, -1, 2, 4, 0, 0, 0, 1, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, -2, 1, 0, 0, -1, 0, 4, 2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 1, 0, -1, -2, 0, -1, 2, 1, -1, 1, 0, 2, 6, -1, 0, 1, 1, 0, -2, 1, 1, -1, 3, 2, -3, -2, 0, -1, 0, 1, 1, 0, 0, 0, -1, 4, -1, 0, 1, 2, 1, -1, -1, 2, 1, -1, -1, -1, -1, 1, -2, 1, 0, -1, 1, 0, 0, -1, 4, -1, -1, 0, -1, 0, -1, -2, 0, 0, 0, 1, 1, 1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 4, 1, -1, -1, 0, -1, 0, 1, 0, -1, -1, -1, -1, 0, 1, -1, 0, 0, 0, 1, 1, -1, 1, 4, 0, 0, 0, 1, 1, 1, -1, -1, -1, 1, -1, 0, 1, 0, 1, 1, 0, 0, 2, 0, -1, 0, 4, 1, -1, -1, 1, 2, -1, -2, 0, 0, -2, -1, -1, 1, -1, 1, 2, -2, 1, -1, -1, 0, 1, 6, -2, 0, 1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, -2, 1, -1, 0, 0, 0, -1, -2, 4, 1, -1, -1, 1, 0, 1, 0, -1, 1, -2, 0, 1, 0, 0, 1, -1, -1, -1, 1, -1, 0, 1, 4, 1, 0, 0, 0, 0, 1, -2, 1, -1, 2, 0, -1, 0, -1, 2, -2, 0, 1, 1, 1, -1, 1, 4, 0, -1, 0, 0, 0, -1, 2, 1, -1, 0, 0, 1, 3, 1, 0, 1, 1, 2, 0, -1, 0, 0, 6, 0, -4, -1, 0, 1, 1, 0, 0, 1, 0, 0, 2, -1, 0, 0, -1, -1, -2, 1, 0, -1, 0, 4, 0, 0, -1, 1, -2, -1, 1, 0, 0, -1, -3, -1, 0, -1, -1, -2, 0, 0, 0, 0, -4, 0, 6, 2, 0, 1, -1, -1, 1, 0, 0, -2, -2, -1, 1, -1, -1, 0, 0, 1, 0, 0, -1, 0, 2, 4, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 2, 0, -2, 0, 0, 1, -1, 1, 1, -2, -2, 0, -2, -1, 0, 0, 1, -1, 0, 4, -2, 2, 1, 1, 1, 0, 1, 2, -2, 2, -1, 1, -1, 0, -2, -2, -2, 1, 0, 0, 0, -2, 4, -2, 1, -1, -1, 0, -2, -1, 1, -2, 1, 0, 1, -1, 1, 2, 1, 0, -1, 1, 0, 2, -2, 4, -1, 2, 1, -1, 2, 2, -2, 2, -2, 0, 0, 0, -2, -2, -2, 0, 0, 0, 2, 1, 1, -1, 6, -2, -2, 2, -1, 2, 1, 0, 2, -1, -2, 1, 0, 0, 0, 2, 1, 1, 0, 1, -1, 2, -2, 4, 2, -2, 1, 1, -1, 1, -1, 0, 0, 0, -1, -1, -1, 0, 0, 0, -2, 1, -1, 1, -2, 2, 4, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, -1, -1, 0, -1, 1, 0, 0, 0, -1, 2, -2, 0, 4, -1, -1, 1, 0, 1, 0, -1, 1, 0, 0, 1, 1, 0, 1, 0, 1, -2, 2, -1, 1, 0, -1, 4, 0, 0, 1, -2, -1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 2, -1, 2, 2, 1, 0, -1, 0, 6, 0, 2, 1, 0, 0, -1, 0, -2, -2, 1, 1, 1, -1, -2, 1, -2, 1, -1, 0, 1, 0, 0, 6, -2, 2, 0, 0, 1, 3, 2, 2, -1, -1, 2, 1, 2, -2, 2, 0, 1, 0, 0, 1, 2, -2, 4, 0, -1, -1, 0, -2, -2, -2, 0, 1, 0, 1, -1, 1, -2, 2, -1, -1, 1, -2, 1, 2, 0, 4, 0, -1, 0, 1, 0, 0, 1, 0, 1, -2, 1, 0, 0, -1, 0, 2, 0, -1, 0, 0, -1, 0, 4, 1, -1, 1, 0, -1, 1, -2, 0, -2, -1, 1, 0, -2, 0, 0, -1, 0, 0, 0, -1, -1, 1, 4, -2, 1, 1, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, -2, 4, 0, 0, 0, 0, 1, 1, -2, -2, 1, -2, 0, -1, 1, 0, 0, 0, 3, -2, 1, 1, 1, 0, 6, 2, 1, 0, 0, 1, -1, -2, 2, -2, 0, -1, -1, 0, 0, -2, 2, -2, 0, 0, 1, 0, 2, 4, 2, 0, 0, 0, 0, -2, 1, -2, 0, -1, -1, 1, 0, -2, 2, -2, 0, -1, 1, 0, 1, 2, 4, -1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 4, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 1, -1, 1, 0, -2, -1, 1, 0, 0, 0, 1, 4, -1, -1, 0, 1, 0, 1, 0, 1, 1, -1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, -1, 1, -2, -2, 0, 1, 2, 1, -1, 1, -1, -2, -2, -2, -2, 0, 0, 0, 4, -1, -1, 1, 2, 2, 0, 1, 1, 1, -1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, -1, 4, 0, 0, 0, 1, -1, 0, -1, 1, 0, 1, -1, -1, 1, -2, -1, 0, 0, 1, 0, 2, -1, 0, 4, -2, -1, -1, -1, -2, 0, 0, 1, 0, 0, 1, 0, -1, -2, -1, -2, -1, 0, -2, 1, 0, -2, 4, 2, 1, 2, 2, 0, 0, -1, -1, 0, -1, 1, 2, 0, 1, 2, 0, 1, -1, 2, 0, -1, 2, 4, 2, 1, 1, 0, 0, -2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, -1, 1, 2, 4, -1, 0, 0, 1, -1, 1, -1, 1, 1, 0, -1, 0, 0, 0, 2, -2, 0, -1, -1, 2, 1, -1, 4, 1, -1, 0, 0, -1, 1, 0, 0, 2, 1, 1, 1, -1, 0, -2, 1, 0, -2, 2, 1, 0, 1, 4, 1, 1, -2, 0, 1, -1, 1, 1, 1, 1, 2, 0, 1, 0, 1, -1, 0, 0, 0, 0, -1, 1, 4, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, -1, 4, 1, 1, 1, 1, 0, 0, 0, 0, -1, 0, 0, 2, -1, 0, 1, -1, -2, -1, 0, -2, -1, 1, 6, 1, 1, 1, -3, -1, -1, -2, -2, 1, -2, 1, 1, 1, 0, -1, 1, 1, -1, 0, 0, 1, 1, 4, 0, 2, 0, -1, -1, 1, 0, 1, 1, -1, 1, -1, 0, 0, 0, -1, 1, 1, 1, 1, 1, 0, 4, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, -1, 1, -1, 1, 1, 0, -1, 0, 1, 1, 2, 0, 4, -1, 0, -1, 1, -1, -1, 1, -1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, -3, 0, 0, -1, 4, 1, 0, 1, 1, 0, 2, -2, 1, -2, -1, 2, 1, 0, 2, 1, 1, 0, -1, -1, 1, 0, 1, 4, 1, 1, 1, 0, 1, -2, 0, -1, -2, 0, 0, -1, 1, 1, 0, 0, -1, -1, 1, -1, 0, 1, 4, 1, 1, 1, -1, -2, 1, 0, -1, 1, 2, 0, 1, 1, 0, 0, -2, 1, 0, 1, 1, 1, 1, 4, 1, 0, 1, -2, 1, 0, -2, 2, 1, 0, 1, 2, 1, -1, -2, 0, 0, -1, 1, 1, 1, 1, 4, 1, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1, -1, 0, 0, 1, 0, 1, 4, -1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, -2, 1, 0, 1, 2, 1, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, -2, 1, 1, 2, 2, -1, 1, 2, -1, 1, -1, 2, -2, 1, -1, -2, 1, 4, -2, 0, 0, -2, -2, 1, 0, 0, 2, 1, 0, 0, 0, -1, 1, 1, 0, 0, -1, 1, -1, -2, 4, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 4, 2, -2, -2, 0, 2, 2, 2, -2, 1, 1, -2, 2, -1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 4, -1, -1, 0, 1, 1, 1, -1, 2, 2, -1, 1, -2, 0, -1, 1, 0, -1, -1, -2, 1, -2, -1, 4, 1, -1, -2, -1, -1, 0, 0, -1, 1, 0, 1, -1, -1, -1, 0, -1, -2, -2, 1, -2, -1, 1, 6, -2, 0, -2, -2, 1, -2, 0, 1, -2, -1, -1, 0, 0, 0, 1, 1, 1, -1, 0, 0, -1, -2, 4, 0, 0, 0, -1, -1, 0, -1, 1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 2, 1, -2, 0, 0, 4, 2, 0, 0, -1, 2, -2, 0, -1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, -1, -2, 0, 2, 4, 1, 0, 1, 1, -1, 1, 0, 1, 0, 1, -1, 0, 2, 2, 0, 2, 1, -1, -2, 0, 0, 1, 6, -2, 2, 0, -1, 1, 0, 2, -1, 1, -2, 0, -1, 1, 0, -2, -1, 0, 1, -1, 0, 0, -2, 6, 1, 0, 1, -1, 0, -1, 1, -1, -1, 1, 1, 0, 1, 1, 2, 0, -2, -1, -1, 1, 2, 1, 6, 1, 1, 1, -2, 0, -1, -1, -1, 0, 2, 0, 0, 1, 2, -1, 0, 0, 2, 1, 0, 0, 1, 4, -1, 0, -2, 0, -1, 1, 0, 0, -1, 0, 1, -2, -1, 1, 1, -1, -2, -1, -1, 1, 1, -1, 4, -1, 0, 0, 0, -1, 1, 0, 1, -1, 0, 2, 1, 0, -2, 1, 0, 1, 1, -1, 1, 0, -1, 4, -1, 0, 0, 1, 0, -1, -1, 1, 0, -1, -2, 1, -1, 1, -1, 0, 0, 0, -2, -2, 0, -1, 4, 0, 1, -1, 0, 1, 2, 1, 0, 0, 0, -1, -1, 0, 0, 1, 2, -1, 0, 0, 0, 0, 0, 4, -1, 1, 0, -1, -2, 0, 1, 1, -1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, 1, -1, 4, 0, 1, 2, 1, 0, 0, 2, 1, -1, 0, -1, 2, 1, 1, -1, -1, 1, -1, 1, -1, 1, 0, 4, 1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -2, -1, -1, 0, 1, 0, 0, 0, 1, 1, 4, -1, -2, 1, 0, 1, -1, -1, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 1, -1, 2, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, -1, 1, -1, 1, -1, 0, -1, -2, -1, -1, 2, 2, 1, 1, -1, 0, -1, -1, -1, 4, -1, -1, -1, 1, 2, -2, -1, 1, 2, 2, 1, 0, -1, -1, -1, 1, 1, 1, 1, 1, -2, -1, 4, -1, 2, -2, 1, 0, 0, 0, 1, 0, 1, 0, -1, -2, -1, -1, -1, 0, 0, 1, 1, -1, -1, 4, -1, 1, 0, 0, 1, 0, -1, -2, 0, -1, -1, 0, 0, 1, 0, 0, -1, 0, -1, -1, 2, -1, 4, -2, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, -1, -1, 0, 1, -1, 0, 1, 1, -2, 1, -2, 4, 0, 1, 1, 1, 0, 1, -1, 1, -1, 0, 1, 1, 1, 1, 1, 1, -1, 2, 1, 0, 0, 0, 4, -2, 0, 0, 2, 1, 2, -1, -1, -2, -2, 0, 0, 0, 0, 2, 1, -2, 0, 0, 0, 1, -2, 4, 1, 0, -1, -1, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, -1, -1, 0, 1, 0, 1, 0, 1, 4, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 4, 0, 1, 1, 1, -1, 0, -1, 0, 0, 2, 0, 0, -1, 2, 1, -1, 0, 0, 2, -1, -1, 0, 4, 0, 0, -1, 0, -1, -1, 1, 1, 0, 0, 2, -2, 2, 0, -2, -1, 1, 1, -1, 0, 1, 0, 6, 0, 3, -1, -2, -1, -1, 1, 1, 1, 0, -1, 1, 1, 0, 1, -1, 2, -1, 0, 1, 0, 0, 4, -1, -1, -1, -1, -1, -1, 0, 0, 1, -1, 0, 0, -1, 0, 1, -1, 1, 0, 1, -1, 3, -1, 4, -1, -1, 0, -1, 1, 1, 1, -1, 2, -1, -1, -1, 0, -1, -1, 1, -1, -1, 0, -1, -1, -1, 4, 2, 0, 0, -1, -1, -1, -1, 2, -1, -2, 0, 0, 0, -2, 1, 0, 0, -1, -2, -1, -1, 2, 4, 1, 0, 0, 0, 0, -1, 1, -1, -1, 0, -1, 1, -2, 1, 0, -1, -1, -1, -1, 0, 0, 1, 4, 0, 1, -1, 0, -1, 1, 1, -1, 1, -1, 1, 0, -1, 0, 0, 1, -1, -1, -1, 0, 0, 0, 4, 0, 0, 0, 1, -1, 1, -1, 0, 0, 1, 0, -1, 0, 0, 1, 1, -1, 1, -1, 0, 1, 0, 4, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, -1, 0, -1, 0, 0, 4, 1, 0, -1, 1, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 1, 4, 0, -1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, -1, -1, -1, -1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 1, 1, 1, 1, 2, 1, 1, 0, -2, 2, 0, 0, 1, 1, 1, -1, -2, 0, -2, 4, 2, 1, 0, -2, 0, 0, -1, 0, -1, 1, 2, -2, 0, -1, -1, -1, -2, 2, 2, 0, -2, 2, 4, 2, -1, -1, 0, -1, -1, 0, -1, 0, 2, 0, 1, -1, -1, -1, -2, 2, 0, 0, -1, 1, 2, 4, 1, -2, 0, 1, 1, 0, 1, 0, 1, 0, -1, 1, 1, 1, -1, 1, 0, 0, 1, 0, -1, 1, 4, -2, -1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, -1, 1, -1, -1, 1, -2, -1, -2, -2, 4, 0, -1, 0, -1, 0, -1, -1, 1, 1, -1, -1, 1, 1, -2, -1, 1, 1, 0, 0, 0, -1, 0, 4, 0, 2, 1, -1, -1, -1, 1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, -1, 1, 1, -1, 0, 4, 2, 1, 1, 1, 0, 0, -2, 0, 0, 1, 1, 0, 0, 1, 2, -1, -1, 1, 1, 0, 2, 2, 6, 2, 1, -1, -1, 1, -1, 2, 2, 2, 0, 1, -1, -1, 1, 0, 0, 0, 1, -1, 1, 1, 2, 4, 0, 0, 0, 2, 1, 0, 0, -1, 0, 1, -2, 0, 1, -1, -1, 1, 1, 0, -1, 1, 1, 0, 4, -1, -1, 1, -1, 1, 0, 2, 1, 0, -1, 1, 0, 1, 0, 0, 1, -1, -1, 1, -1, 0, -1, 4, 0, 0, -1, -1, 1, 0, 0, 1, 0, 1, -2, 2, 2, 1, 0, -1, -1, 0, -1, 0, -1, 0, 4, -2, 1, -1, -1, -1, -2, 0, 1, 0, 2, -2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, -2, 6, 1, 0, 0, 0, 0, 1, -4, 1, 0, 0, 1, -1, 0, 1, 0, -2, -1, 1, -1, -1, 1, 1, 4, -1, -1, -2, -1, 0, -1, -1, 0, -1, -1, 1, 2, -1, 0, 0, 2, 0, 1, -1, -1, 0, -1, 4, 2, 1, 0, 1, 0, -2, 1, -1, -1, 1, 2, -1, 0, 0, 2, 0, 0, 1, -1, 0, -1, 2, 4, 1, 0, 0, 0, -1, 1, -1, -1, 1, 0, 1, 0, 1, 2, -1, 2, 0, -1, 0, -2, 1, 1, 4, 1, 0, 0, 1, 1, -2, -2, -1, -1, 1, 0, 1, 0, 0, 1, 0, -2, 0, -1, 0, 0, 1, 4, -2, 0, 1, -1, 2, 2, 1, 1, -2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, -2, 6, 0, -1, -2, 2, 0, 0, -1, -1, -1, 0, -1, -2, -1, 0, 1, -4, -1, 0, 0, 0, 0, 0, 6, -1, 0, 0, 0, 0, -1, 1, -1, 1, -1, 0, 1, 1, 0, 1, -1, -2, -1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, 2, 0, 0, -1, -1, 1, 2, -2, -1, 0, -1, -1, 1, 0, 2, 1, 4, -1, -2, 0, 2, 2, 1, -1, 1, 0, 1, 1, 1, -2, 0, 1, -2, -2, 2, 1, 1, -1, -1, 4, 0, 1, 0, 0, 0, -1, 1, -1, 0, -1, 0, 2, -1, -2, 0, 0, 0, 1, 0, -1, -2, 0, 4, -1, -1, 0, -1, 1, -1, -1, 0, -1, -2, 1, -1, -1, 1, 2, -1, 0, 0, 1, 0, 1, -1, 4, 0, 0, 2, -1, 0, -1, -1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 2, 0, -1, 0, 4, 0, 2, -1, 2, -1, 0, 0, 0, -1, -1, 0, -1, -2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 4, 0, -1, 0, -1, 0, 0, 1, -1, 0, 0, -1, -1, 1, 0, 2, 2, 1, 0, -1, 2, 2, 0, 4, 0, 0, -1, -1, 0, 1, -1, 0, -1, 0, -1, 0, 1, 1, 0, -1, -1, 1, -1, -1, -1, 0, 4, -1, 1, -1, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1, 1, -1, 0, 2, 0, 0, -1, 4, -1, 1, -1, -1, -1, 0, -1, -1, -2, 1, 1, 1, -1, 0, -1, -1, -1, -1, -1, -1, 1, -1, 4, 1, 2, 0, 0, 1, 1, 1, 0, -1, -1, -2, -1, 1, 0, 0, -1, 0, 0, -1, -1, 1, 1, 4, 0, -1, -1, 0, 0, -1, 0, 1, 1, -1, 1, 1, -1, -1, -1, 0, 0, 0, 1, -1, 2, 0, 4, 1, -1, 0, 1, -1, -1, 0, 0, 0, 2, 1, 0, -2, 1, 0, 1, 1, 0, -1, 0, -1, 1, 4, -1, 0, 1, -1, -1, 1, 0, 1, -2, -2, 2, 1, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, 4, -1, -1, 1, 2, -1, -1, -1, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 4, 1, 1, -1, -1, 0, 0, 0, 1, -2, -1, -1, 0, 0, -1, 1, -1, 1, 0, 1, 1, -1, 1, 4, -1, 0, 1, -1, 0, -1, -2, 0, 1, 0, -1, -1, 0, 0, -1, 1, -1, -1, -1, 1, 1, -1, 4, 1, -2, 0, -1, -1, -2, 0, 2, 0, -2, -1, -1, 1, -2, 0, 0, -1, -1, 2, -1, 0, 1, 4, -1, -1, -1, 1, 2, 0, -1, 0, 1, 1, 0, 0, 1, -1, 1, 0, 1, -1, -1, 1, -2, -1, 4, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, -1, 1, 0, 0, -1, 0, -1, 0, -1, 1, 4, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, -2, -1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, 1, -1, 2, 1, 1, -2, -2, 0, -1, -1, 1, -1, 1, 2, 1, 1, 0, 1, -2, 4, 2, 1, -2, 0, -2, -1, 1, 1, 2, 0, 0, -1, 1, -1, 0, -1, -1, 0, 1, -1, -2, 2, 4, 2, -2, 1, -2, 0, -1, 2, 2, -1, 0, -1, 1, 1, -1, -2, -2, 0, 0, 0, -1, 1, 2, 4, -1, -1, -1, 0, 1, 1, 1, 1, 0, -2, -1, 2, -2, -1, -1, 0, 0, 0, 1, -2, -2, -1, 4, -1, 0, 1, 1, -2, -1, 1, 1, 1, -1, -1, 0, 1, 1, 1, -1, -1, -1, 0, 1, -1, -1, 4, 1, 1, -2, 1, 0, -2, 0, 2, 1, 0, 1, -1, -1, -1, 0, 0, 2, -2, -2, -1, 0, 1, 6, 1, -1, -2, -1, 0, -2, 0, 0, -1, 0, 2, 2, -1, 1, 1, 1, -1, 0, 0, 1, 1, 1, 4, 1, -2, -1, -1, 1, -1, 1, 1, 1, 0, -1, 1, -1, 1, 1, 1, -1, 1, 1, -2, -1, 1, 6, -3, -1, 2, 0, -3, 0, -1, -1, 2, 1, 0, -1, 0, -2, 1, 2, 1, -2, 1, -2, -2, -3, 6, 1, -2, 1, 1, -1, 2, 0, -3, -2, 0, 0, -1, -2, 2, 2, 1, -1, 0, -1, -1, -1, 1, 4, 0, -1, -1, 0, 0, -1, -1, -1, -1, 0, -1, 0, 0, -1, 1, 1, -2, 0, -1, 2, -2, 0, 4, 0, 0, -1, 0, -2, 1, 2, 0, 0, -1, -1, 0, 0, 0, 1, 0, -2, 1, 0, 1, -1, 0, 4, 1, 0, 1, 1, -1, -1, 2, 0, 0, -1, -1, -1, -2, 1, 2, 0, -1, -3, 1, -1, 0, 1, 6, -1, 0, 1, -1, 0, 0, 1, -1, 1, 1, 1, -1, -1, 1, 0, 1, 0, -1, 0, -1, 0, -1, 4, -2, 1, 0, 0, 1, 0, 1, -1, -1, 1, 2, -1, 0, -1, 1, -1, 2, 0, 0, 1, 0, -2, 6, 0, -2, -2, 0, -1, 1, 1, 0, -1, -2, 0, 1, 0, 1, -1, 0, -1, -2, 1, 1, 1, 0, 4, 0, -1, 1, 1, 1, 2, -1, -2, -1, 1, -1, 2, 0, 2, -3, -1, 1, -1, -1, 0, -2, 0, 4, 2, 0, 1, 1, 1, -1, -2, -1, 1, -1, 2, -1, 1, -2, -1, 2, -1, 0, 0, -2, -1, 2, 4, -1, 0, 0, 1, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, 0, 2, 0, 1, 0, 1, 0, -1, 4, 1, 0, 0, 1, 0, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 0, 1, 4, 0, 1, -1, 0, 0, -1, 0, 1, 1, 0, -1, -1, -1, 0, -1, 1, 1, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 2, 0, -2, -1, -2, -1, 1, 0, -2, -2, -1, 1, -1, -2, 0, -2, -1, 1, -1, 6, -3, 1, 1, 1, 0, 1, 2, -1, -1, 0, -2, 3, -2, 2, -1, 1, 1, 0, 2, 1, 2, -3, 6, -2, 1, 1, 0, 1, -1, -1, -1, 0, 1, -3, 1, -1, -1, -2, -2, 0, -1, 1, 0, 1, -2, 4, 0, -1, 0, -2, 0, -1, 2, -1, -1, 1, 0, 2, -1, 2, 0, -2, 0, 1, 2, 1, 1, 0, 4, 1, 0, 0, 0, -2, -1, 1, -2, -1, -1, 0, -2, -1, 1, -1, -1, 2, 0, 1, 1, -1, 1, 4, 1, 0, 0, -1, -2, -1, 1, 0, 0, 0, 0, 1, -1, -1, 0, 1, -2, 0, 0, 0, 0, 1, 4, 0, 0, -1, -1, 0, 1, 1, 2, -1, 0, 2, 0, 0, 1, 0, -1, 1, 1, -2, 0, 0, 0, 4, 2, 1, -2, 1, 0, 0, 0, -1, 0, -2, 0, 3, 0, 0, -2, 2, -1, 0, 0, 0, 0, 2, 4, 1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 2, 0, 1, -1, -1, -1, -1, -2, -1, -1, 1, 1, 4, 0, 0, 2, 0, 0, -1, 2, 0, 1, 1, 0, -1, 1, -1, -1, 2, -1, -2, -1, -2, -1, 0, 4, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 1, 0, 0, 0, 4, -2, 0, 0, -1, 1, -2, 1, 2, -1, 0, -2, -2, 1, -1, -2, 1, 1, 0, 1, 2, -1, -2, 6, 0, 1, -2, 1, 1, 0, 1, 0, -1, -2, 3, -3, 1, -1, 0, 1, 0, 1, 0, 0, 0, 0, 4, 0, 1, 0, 2, 1, 0, 2, -1, -1, -2, 1, 0, -1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 4, -1, 0, 0, -1, 0, 0, 0, 1, 2, -1, 2, 0, 0, -1, -1, -1, -1, 1, -1, -2, 1, -1, 4, 0, 1, -1, -2, 1, 1, -1, -1, -1, -1, -2, 0, 0, 0, -1, 2, 0, 1, 1, 0, 0, 0, 4, 0, 0, 1, 0, -1, -2, 1, -2, 2, -1, 1, 2, -2, 0, 0, 0, -2, 1, 2, 0, 1, 0, 6, 0, -2, 2, 0, 0, 1, -2, 0, 1, -1, 0, 0, 1, 1, 0, 1, 0, 1, -1, -1, 0, 0, 4, 0, 0, 0, -2, 0, 0, -2, -1, -1, 0, 3, 2, 1, -1, 2, 1, 0, 0, -2, 1, -2, 0, 6, 0, -1, -1, 2, -1, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 2, 0, 1, 0, 2, 0, 0, 4, -1, 1, 1, 1, 1, 2, 1, 0, 0, 1, -1, 0, 0, -1, -1, 0, 1, -1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 0, 2, -1, -2, -1, -1, -1, 0, -1, 0, -1, 0, 1, 1, 1, 0, 1, 4, -2, -1, 2, 0, 0, -1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, -2, 4, 0, -2, 0, 1, 1, 0, 0, 2, -1, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, 4, -1, 0, 0, 2, -2, 0, 1, 1, -1, -1, -2, 0, -1, -1, -1, -2, 1, 1, 1, 2, -2, -1, 4, 1, 0, 0, 0, -1, -1, 1, 1, 1, 1, -1, 1, 0, 1, 2, -1, 1, 2, 0, 0, 0, 1, 4, -1, 0, 0, -2, 1, -1, 1, 1, 1, 1, -1, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, -1, 4, 1, -1, 0, 1, -1, -2, -2, 0, -1, 0, 1, -1, 0, 0, -1, 2, -1, 1, 2, 0, 0, 1, 6, -3, 0, 0, 1, -2, -1, 0, -2, 1, -2, 1, -1, -1, 0, -1, 1, 0, -2, 0, 0, -1, -3, 4, 0, -1, -1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, -1, -2, 0, 0, 0, 4, 0, 1, 0, 0, 0, -1, 1, -1, 0, -2, -1, 1, -1, -2, 2, 1, -1, 1, 1, 0, -1, 0, 4, 0, 0, -1, 0, 1, 0, 1, -1, -1, 0, -1, -1, 0, -1, 1, 1, -1, -1, 1, -1, 1, 0, 4, 1, 1, 0, -1, 2, -1, 1, 0, -2, 1, -1, 0, 0, -1, 1, 1, -2, -2, 2, 0, 0, 1, 4, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, 1, 1, -2, -1, 0, 0, -1, 1, 2, 4, 1, 0, 0, 0, 1, 1, 0, 0, -1, 0, 1, -2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 4, -1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 1, -1, -2, 1, -1, 1, -1, 0, 0, -1, 4, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 1, -1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 4, -1, 1, 1, -2, 1, 0, 0, 0, -1, 0, 1, 1, -2, 0, -1, 1, -1, 0, 0, 0, 1, -1, 4, 0, 1, 1, -2, 1, 0, -1, -1, 1, 0, -1, 1, 0, 0, -1, 1, 1, 1, 0, -1, 1, 0, 4, 1, -1, 0, 1, 2, 0, -2, 2, 0, 0, -1, 1, -2, -1, 0, 1, 1, 0, 0, 1, 1, 1, 6, 0, 0, 1, 0, 0, 1, -1, 1, 0, -1, 0, -1, 0, -2, 0, 0, -1, 1, -2, 1, -1, 0, 4, -1, 0, 0, -1, 1, 1, -1, -1, 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, -2, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 0, 1, 2, -1, 1, 2, -1, -1, -2, -1, 2, 1, 1, 1, -1, 1, 1, 4, -1, -2, 0, 0, 0, 2, 0, 0, -1, -1, 0, -1, -2, 0, -1, 0, 0, 2, -1, -1, -1, -1, 4, 1, -1, 0, 1, 1, -2, 2, 0, -1, -1, 0, 2, 0, 1, -1, 1, 0, 1, -1, -1, -2, 1, 4, -1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 2, 1, -1, 0, -1, -2, 0, 0, 1, 0, -1, -1, 4, -1, -2, 0, 1, -2, -1, 1, 1, -1, -2, -1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, -1, 4, -1, 0, 1, 1, 2, 1, 0, -1, -1, 1, 1, 1, 1, 0, 0, -1, 0, 0, 1, 1, -2, -1, 4, 0, 0, 0, 0, 0, -1, 0, 1, -1, 1, -1, 0, 0, -1, 0, 1, 2, 1, -2, 0, 0, 0, 4, 0, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 2, 0, -1, 2, 0, -2, 0, 1, 1, 0, 0, 4, -2, 1, 2, 0, 0, -2, -1, 0, 1, 0, 0, -1, 1, -1, 0, 2, 0, -2, 1, 0, 1, -2, 4, 0, -1, -1, 1, 2, 1, 1, -2, 0, 0, 1, -1, 1, -1, 0, 0, -1, 2, 0, 0, 1, 0, 4, 2, -1, -1, -1, 0, 2, 0, 1, -1, -1, 0, 2, -1, -1, 0, 1, 1, 0, -1, 2, -1, 2, 4, -1, -1, -2, -1, 2, 1, 1, -1, 0, 2, -1, 0, -1, 0, 1, 0, -1, 0, 0, -1, -1, -1, 4, 0, 1, 1, -2, 1, -1, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, 0, 0, 1, -1, -1, 0, 4, 3, 1, -2, -2, -2, 0, 0, -1, -2, -2, 2, 2, -2, -1, 1, 0, -2, 2, -1, -2, 1, 3, 6, 1, -1, -2, -2, -1, 1, -1, -1, 0, 0, 1, -1, 1, -1, -1, -1, 1, 0, -1, 1, 1, 1, 4, -1, -1, 0, 0, -1, -1, 2, -1, 1, -1, 0, 1, 1, 0, 0, 1, 2, 2, -2, -2, -1, -1, 6, 0, 3, 0, 0, 2, 1, 0, -1, 0, 2, 1, -1, -1, 1, -2, 0, 1, 1, -2, -2, -1, 0, 4, 1, 0, 1, 1, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0, 1, 1, -1, -2, -2, 0, 3, 1, 4, 0, 0, 1, 1, 2, 0, -2, 0, 0, 0, 2, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 4, 0, -1, -1, -1, 1, 0, 1, 0, -1, 0, -1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 4, 0, 1, -1, -1, 0, 2, -1, 0, -1, 1, -1, 0, 2, 0, -1, -1, -1, 2, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -2, -2, 0, -1, 1, 1, 0, 0, 0, 1, -1, 0, 1, 1, 0, -1, 0, 1, 0, 2, 4, 2, -2, -2, -1, 0, 1, 0, -1, 1, -1, 1, -1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 4, -2, -2, 1, 1, 1, 1, -1, 1, 1, 1, -2, -1, 1, 2, -1, 1, -1, 2, -1, -2, -2, -2, 4, 2, -1, 0, -2, -1, 0, 0, 0, -1, 1, 0, -1, -2, -1, -1, -1, -2, -1, -2, -2, -2, 2, 4, -1, -1, -2, -1, 1, -1, 1, -1, 2, 1, 0, -1, 1, -1, -1, -2, 1, 0, -1, 1, -1, -1, 4, 1, 0, 0, -1, 0, 1, 0, -2, -1, -1, 0, 0, 1, 0, 2, -1, -1, 0, 1, 0, -1, 1, 4, 1, 0, -2, 0, 0, -1, -1, 0, 0, 1, -1, 1, 0, 1, 0, 1, 1, 1, -2, -2, 0, 1, 4, 2, 0, -1, -1, 0, 0, -1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, -1, -1, 0, 0, 2, 4, 1, -1, 1, -1, 0, -2, 0, 2, 0, 0, 0, -1, 1, 0, -1, -1, 0, 1, -1, -2, 0, 1, 4, -1, 0, 1, 1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 1, 1, 0, -1, 0, 0, -1, -1, -1, 4, 1, 1, -1, 0, 1, -1, 0, 1, -1, 2, -2, 0, -1, 1, 0, 1, 1, 0, -1, 1, 0, 1, 4, -1, -1, -1, 0, 0, 1, 1, -2, 1, 0, 1, 1, 1, -1, -1, 0, -1, 0, -1, 1, 1, -1, 4, -1, 1, 0, 0, 0, 0, 0, 2, -1, -1, -1, -2, 1, 2, -2, -1, 0, 0, 1, -1, -1, -1, 4, 1, 0, 0, 1, -1, 0, -3, 1, 0, 0, -1, 0, 1, -1, 0, -1, -2, 0, 0, -1, 1, 1, 4, 1, -1, 0, 0, 1, 1, 1, 1, 2, 1, -1, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, -2, -1, 0, 1, 2, 2, 0, -1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, 1, 0, 0, -1, 1, 1, 0, -1, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 0, -1, -2, 0, 0, 1, 0, 0, 0, 0, 4, 1, 1, 1, 1, 2, -2, -2, 2, 1, 0, -1, -1, 2, 1, 2, -3, 1, 1, 0, 0, 2, 1, 6, -1, 0, 0, -1, -1, 1, -1, 0, 1, 1, 1, -2, 0, -1, 1, 1, 1, 1, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -1, -1, 1, -2, -2, 1, 2, 2, 1, -2, 1, 2, -1, 1, -2, -2, -1, -2, 4, 1, 0, -1, 2, 2, 0, 0, 2, 0, -2, -1, 0, 0, -2, -2, 1, 0, 2, 2, 0, 0, 1, 4, 0, 1, 2, 0, 2, -1, 1, 1, -1, -1, 2, -1, 1, 0, 2, 0, 1, 1, -1, 0, 0, 0, 4, -1, 0, 1, -1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, -1, 2, -2, 0, 1, -1, 1, -1, 4, 1, -1, 1, -2, -1, 1, -1, -1, -1, -1, 1, 2, 0, -1, -1, 0, 1, -1, 2, 2, 0, 1, 4, 1, 0, 0, 1, 0, -1, -2, 0, 0, -1, -1, 2, 0, 1, 1, 0, -1, 2, 0, 1, -1, 1, 6, -2, 1, 2, -2, -1, -1, -1, -2, -3, -2, 2, 1, 3, 2, -2, 1, 0, 2, -1, 1, 0, -2, 6, -3, 0, 0, 0, 0, 3, -1, 2, 2, -1, -1, -2, -1, 0, -2, 0, -1, 2, -2, 0, 1, -3, 6, 0, 0, 0, 0, 0, 2, -1, -1, 2, -1, 1, -1, 0, -2, 2, 1, 0, -1, 1, 2, 0, 0, 4, 0, -1, -2, 0, 0, 0, -2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 4, 0, 0, 1, 0, 2, 1, 0, 0, 0, -1, 1, 2, -2, -1, 0, -1, -1, -1, 0, 0, -1, 0, 4, 2, 0, 0, 0, 1, -1, 1, -2, -1, -1, 2, -1, -1, 0, -1, -2, -1, 0, 0, -2, 0, 2, 4, 0, 0, -1, 1, -1, 1, -2, -1, -1, 1, 0, 2, 2, -1, 0, -1, 3, 0, 0, 1, 0, 0, 6, 0, 2, 1, 1, -1, 0, -3, -1, -2, 0, -1, 0, -1, 0, -2, -1, 2, 0, 0, 0, 0, 0, 4, 0, -1, 0, -1, -1, 0, 1, 1, -2, 1, 1, 1, -1, -3, 2, -1, 0, 2, 0, -1, 2, 0, 6, 2, -1, -1, 0, -2, 2, 2, -2, 0, 0, 2, -1, -2, 2, -1, -2, 1, 1, 1, 1, -1, 2, 4, -1, -1, -2, -2, 1, -1, 1, 2, 1, 0, 2, 2, -1, 2, 1, 0, -1, -1, 1, 0, -1, -1, 4, 0, 2, 1, -1, 1, 0, 0, -1, -1, 0, 1, -1, -1, 0, 0, 1, 1, -1, -1, -1, -1, 0, 4, 0, 1, -1, -2, 2, 1, 2, -1, 1, 3, -2, 1, 2, 0, -2, -2, 0, -1, 0, -2, 2, 0, 6, 2, 0, -2, 2, 1, -2, 0, 1, 2, -1, -1, 2, -1, -1, -1, -3, 0, -2, -2, 1, 1, 2, 6, -1, -1, 0, -1, 0, 1, 0, -2, 0, 0, 0, 1, -1, -1, -1, 1, 2, 1, -1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 2, -2, -2, 1, 1, 1, 1, 0, 0, -1, 2, -1, 0, 2, 0, -1, 0, 0, 0, 2, 6, 2, 2, -2, -2, 3, 3, 0, 1, 1, -1, 1, 2, -2, -2, 2, 1, -2, -1, -1, 1, 0, 2, 4, -1, 1, 1, 1, 1, -1, 1, 0, 1, 2, -1, -2, -1, 0, 0, 0, 0, 1, 2, 2, 2, -1, 4, -2, -2, 0, 0, 0, 0, 1, -1, -1, 2, 0, -1, 1, 0, -1, 0, 0, 0, -2, -2, 1, -2, 4, 2, -1, 0, 0, -1, 0, 1, 0, -1, 0, 0, -2, 0, 0, 0, 1, 1, -2, -2, 1, -2, 2, 4, 0, -1, 0, -1, 0, 1, 0, -2, 0, 0, -2, 0, 2, 0, 1, 1, 1, 3, 1, 0, -1, 0, 4, 2, 1, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1, 1, 1, 3, 1, 0, 0, -1, 2, 4, 1, 1, 1, 0, 0, 2, -1, -1, 1, 0, -2, 0, -1, 1, 1, 0, -1, 0, 0, 0, 1, 1, 4, 0, 0, 1, -2, 1, 1, -1, -1, -1, 0, 1, 0, 0, 1, 1, 1, 0, -1, -1, 1, 1, 0, 4, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 4, 1, 0, 0, 1, 0, 0, 1, -1, -1, 0, 2, 0, -1, 1, -1, 1, 1, 0, 0, 1, 1, 1, 4, 1, 0, 1, 1, -1, -1, 1, 1, 0, 2, -1, 1, 2, -1, 0, 0, 0, 0, -2, 1, 0, 1, 4, -1, -1, 0, 0, 0, 1, 0, -1, 1, 2, 2, -1, 2, -1, -2, 0, 2, 1, 1, 0, 0, -1, 6, 0, -1, 2, 1, -1, -1, -2, 0, -1, -2, -2, 0, 0, 0, -1, -1, 1, 0, 1, 1, -1, 0, 4, 1, -1, -1, 0, 0, 0, 0, 0, -2, -1, -1, 0, 0, -1, -1, -1, 0, 0, 1, 0, -1, 1, 4, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, -2, -2, 1, 1, -1, 2, 0, -1, 0, 2, -1, 1, 4, 1, -1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, 4, 0, -2, 0, 0, -1, -2, 0, -1, 0, 2, -1, -2, 0, 0, -1, 1, 1, -1, 0, 0, -1, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, -1, 0, 0, -1, -2, 0, 4, 1, 0, 0, -1, 1, 0, 1, 1, -1, -1, 0, -1, 0, 0, -1, -2, 0, 0, -1, 0, 0, 1, 4, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 0, 0, 1, 1, 1, -2, 1, 1, 2, 0, 0, 0, -2, 0, -1, 0, -2, 0, 2, 4, 2, 2, 1, 1, 1, 0, -1, -1, -1, 2, 2, -1, 1, 1, -1, 0, -2, 0, -1, 1, 2, 2, 4, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, -1, -1, 0, 0, 2, 2, 0, 4, 1, 0, 2, 0, 0, -1, -1, 0, 1, -1, 1, 1, -2, 0, -1, 0, -2, 0, 0, 1, 0, 1, 4, -1, 2, 1, -2, 1, 1, 2, 1, -2, 2, 2, 0, 1, 1, -1, 1, 2, 0, 1, 1, 0, -1, 4, 0, -2, 0, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 0, 2, 2, 0, 4, 0, 0, 1, 1, 0, 2, -2, 2, 2, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 1, -2, 0, 4, 1, -1, 2, 1, 1, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, 0, 0, -2, 0, 0, 1, 4, -1, 1, -2, 1, 1, -1, -1, 0, -1, 1, 1, -1, -1, -2, -1, 0, -1, 1, 1, 1, -1, -1, 4, 1, 0, 0, 0, 1, 1, 1, 1, 1, -1, 1, 0, 1, -1, 1, -1, 1, -1, 1, 2, 1, 1, 6, 0, 2, 0, 1, 0, 1, 1, 2, -1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, -2, 0, 0, 6, 2, 0, 1, 0, -1, 2, 0, -2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 6, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0, -1, 1, -1, -2, 1, -2, 0, 1, 0, 0, 0, 0, 4, -1, -1, 0, 1, 0, -1, 1, -2, 0, 1, 0, 1, 2, 1, 2, 0, -1, 1, 1, 1, 1, -1, 4, 1, -1, 0, 0, -1, 1, 1, 0, 1, 1, 1, 2, -1, 2, 0, -1, 1, 0, 0, 0, -1, 1, 4, 1, 0, 0, 0, 0, 1, -2, -1, 0, -2, 0, -1, -1, 0, 0, 1, 1, -1, 0, 0, -1, 1, 4, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, -1, -1, 1, 1, 2, 1, 1, 0, 0, 0, 4, 1, -2, 2, 0, -1, -2, -1, -1, 1, -1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 4, -1, 1, 0, 0, 0, -1, 0, -1, -1, 0, 1, 1, -1, -1, -2, -1, -1, -1, 0, 0, -2, -1, 4, -1, 0, -2, -1, 0, -2, 1, 1, -1, -1, -1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, -1, 6, 0, 0, 1, 0, 0, 2, -1, 0, 1, -1, 0, 1, 1, 0, -2, 1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -1, -1, -1, 1, 0, -1, 1, 0, -1, 0, -1, -1, 1, -1, 0, 1, 2, -2, 6, 0, -1, -2, 2, 0, 1, 0, -1, -1, -2, 2, 2, 1, 2, -2, 1, 0, 0, 1, 0, 0, 0, 4, -2, -1, 1, -1, -1, 0, -1, -1, -1, 1, 2, 1, 0, 0, 2, -1, -2, 2, 2, 0, -1, -2, 4, 0, -2, 0, 1, 1, 0, 1, 1, 0, -2, 0, 1, 1, -2, 0, 2, -1, -2, 1, -2, -1, 0, 4, -2, 1, -1, 1, 0, 0, 1, -2, -1, -2, -1, 0, 0, 1, 1, -2, -1, -1, 2, 1, -2, -2, 4, -1, 1, -2, 1, 0, -1, 1, 1, 0, 1, 0, 0, -1, -1, 2, 1, -1, 0, -1, 0, 1, -1, 4, 0, 0, -1, 1, 1, -1, -1, -1, 0, -1, -1, 0, 1, -1, 0, -1, 1, -1, 1, -1, 1, 0, 4, -2, 0, 0, -1, -1, -1, -1, 2, 0, -2, 1, 0, 1, -2, 1, 0, 0, 1, 1, -2, 0, -2, 4, 0, -1, 0, 1, 0, 1, 0, -1, 1, -1, 1, 0, 1, 0, -1, -1, 0, 0, 1, -1, 0, 0, 4, 1, 1, -1, 0, 0, -1, 1, -1, 0, 0, -1, -1, -1, -1, -1, 1, 0, 0, 1, 0, -1, 1, 4, 2, -1, -1, -1, -1, 2, -1, 1, 0, -2, -1, 1, -2, -1, 1, 1, -1, 1, -1, 0, 1, 2, 4, -1, -1, 0, -1, 1, -1, 0, 1, -1, 0, 0, 2, 1, 0, -2, 1, -1, -1, 1, -1, -1, -1, 4, 1, 2, 1, -1, 1, -2, 0, 2, 2, -1, 2, 2, -2, -1, 1, -1, -1, 0, 0, -1, -1, 1, 4, 1, 0, 0, 2, 0, -1, 1, 0, 0, 1, 1, 0, -2, 0, -1, -1, 1, 0, -1, 0, 2, 1, 4, 0, -1, 1, -1, -1, 1, 1, -1, 2, 0, 1, -1, 1, 0, 2, 0, -1, -1, -1, 1, 0, 0, 4, 0, -1, -1, 1, 2, 0, -1, -2, 0, 1, 0, 0, -1, 0, -1, 1, 2, 1, -1, 0, -1, 0, 4, -1, 1, 0, -1, -1, 1, 1, 2, -2, 0, 0, -1, -2, 1, -1, -1, -1, 1, 2, 1, -1, -1, 4, 0, -1, 1, 2, -1, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, 0, -2, 0, -1, -1, 1, 0, 4, -1, -2, -2, 0, 0, -2, 2, 1, -1, 1, 0, 1, 0, 0, 1, 0, -1, -1, 1, 0, -1, -1, 4, 0, -1, 1, 1, 2, -1, -2, 2, -1, 1, 0, -1, -2, -1, 2, 1, 1, 2, -1, 1, -2, 0, 6, 2, 2, 0, 2, -2, -1, 1, 0, -2, 1, -1, -1, 0, 2, 0, 1, 0, -1, 2, -2, -1, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, -1, 0, 1, -1, 0, 2, -1, 2, 0, 1, 2, 1, -2, -1, 1, 1, 4, -1, 0, -1, 2, 1, -1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, -1, 4, -1, 0, 0, 0, 1, 1, 0, 0, 0, -2, -1, -1, 0, 1, -1, 1, 2, -1, 0, -1, 0, -1, 4, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, -1, -1, -1, 0, -1, 0, 1, 0, 1, -1, 0, -1, 4, -1, 1, 1, -1, -1, -2, -1, 1, -1, 0, -1, 1, 1, 1, -1, -1, -1, 1, 2, 0, 0, -1, 4, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, -1, 1, -1, -1, 0, 2, 1, 0, 0, 1, 2, 4, 0, 0, 1, -1, -1, 1, -1, 0, -1, 2, 1, 2, -2, -2, 0, -1, -1, 1, 0, 1, 0, 0, 4, -1, -1, -1, -1, 1, -1, -2, -1, -1, -2, -1, 2, -1, -1, 0, 1, 1, -1, -1, 0, 0, -1, 4, 0, 0, -1, -1, -1, 0, -1, 1, 1, 1, 1, -1, 0, 1, 2, 0, 0, -1, 2, 1, -1, 0, 4, 0, 0, 2, 1, 0, 1, 0, 0, 0, -2, 0, 1, -1, 1, 0, 0, -2, 1, -1, -1, 0, 0, 4, 1, 0, 1, 0, 2, -1, -1, 0, 1, 1, -1, 0, 0, 0, -1, -1, 1, -1, -1, -1, 0, 1, 4, -1, 1, 1, 2, 0, -1, 0, 0, 1, 1, 2, 2, -2, 0, 1, 2, 1, 1, -1, 2, 0, -1, 6, 0, 0, 0, -1, 0, -1, -2, -1, -1, -1, 0, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 0, 4, 0, 2, -1, -1, 0, -1, 1, 0, 2, 0, -1, -1, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 4, 1, 1, 1, 1, -1, 1, 1, 0, 0, 0, -1, -1, 1, -1, -1, -1, 1, 2, 2, 0, 2, 1, 4, 0, -1, 0, 0, 1, 1, 1, 0, 1, -1, 1, 1, 2, -1, 1, 0, -1, 0, -1, -1, 1, 0, 4, 1, 2, -1, -1, 1, 2, 0, -1, 0, 1, -1, 1, -2, 1, 0, -1, -1, 0, -1, 1, -1, 1, 4, 1, -1, 0, 1, 1, 0, 1, -1, 1, 1, 2, -1, 1, 0, 0, 0, -1, 0, 1, 0, 2, 1, 4, -1, -1, 0, -2, -2, 2, 0, -1, -1, -2, 2, 1, -2, 1, 0, -2, -1, -1, 0, -1, -1, -1, 6, 1, 0, -1, 0, -1, 1, -1, -1, -2, -1, -1, 0, 1, 1, -1, 1, 1, 1, -1, 0, -1, 1, 4, 0, 1, -1, 0, 0, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 1, 1, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 2, -2, 0, 1, -1, -2, 0, 1, 2, -1, -1, 1, 1, -1, -1, 1, 2, -1, 0, -1, 4, -1, -2, 2, 0, -1, 1, 2, 0, 0, 0, -1, 1, 1, 0, -1, 0, -2, 0, -1, 0, 2, -1, 4, 1, -1, -1, 2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 2, -2, 1, 4, -2, 1, 1, 0, -1, -1, 0, 1, -1, -1, -1, 0, 1, 0, 1, 1, -1, -1, -2, 2, -1, -2, 4, -1, 0, 1, 1, 1, -1, -1, 0, 1, 1, -1, 1, 0, -2, -1, 1, -1, 0, 0, -1, 1, -1, 4, -1, 1, 1, 0, -1, 1, 0, 1, 0, -1, 1, -1, 1, 1, -1, 0, 1, -1, 2, 1, 0, -1, 4, -2, 0, -1, 1, -1, 1, -1, 0, -1, 0, 1, 1, -1, 1, 0, -1, 1, -2, 0, 1, 1, -2, 4, 0, 1, 0, 1, 0, 1, 0, -1, 1, -1, 0, 1, -1, -1, -2, 2, -1, -1, 1, 1, 0, 0, 4, 0, 0, -1, 0, 0, 0, -1, 0, 1, -1, -1, 0, 1, 0, 0, -1, -1, 1, 0, -1, 1, 0, 4, 1, 1, 1, -1, 0, 0, 1, -2, 0, 1, 0, 1, 1, 0, 0, 0, -1, -1, 1, 0, 0, 1, 4, 0, 1, -1, -1, 1, -2, -1, 1, 0, -1, 1, 2, 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 4, 0, 0, 1, 0, 0, -1, 0, 2, -1, 0, -1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 1, 0, 4, 0, -1, -1, 1, 0, 1, -1, 1, 1, -1, 1, 0, -1, 1, 1, -1, 1, 0, -1, -1, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 4, 0, -1, 0, 0, 1, 1, 0, 1, 0, 0, 0, -1, -1, -1, -1, -1, 0, 1, 0, -1, 0, 0, 4, -2, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, 1, 0, 1, 0, 1, -2, 0, 1, 0, -1, -2, 6, 1, 0, 0, 0, -2, -1, 0, 1, 0, 0, -1, 1, -1, 1, -2, -1, -1, 0, 0, 0, 0, 1, 4, 0, -1, 1, 0, 1, -2, 0, 1, -2, 1, 1, 0, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 4, 0, 0, 1, 2, 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 2, -1, 0, 1, 0, 0, -1, 0, 4, 0, 0, -1, -1, 0, -1, 1, -1, 1, -1, 0, 0, -1, -1, 1, 0, 1, -1, 0, 1, 0, 0, 4, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, 1, 1, 0, 1, -1, 0, 1, -2, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -1, -1, 0, -1, 0, 0, 0, 1, -2, 1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 4, -1, -1, 2, 2, 0, 2, -1, -1, -1, -2, -1, -1, 1, 0, -1, 0, 1, 0, -1, 2, 1, -1, 4, 0, 0, -1, 1, 0, 1, 2, 1, 2, 1, -1, 1, 0, -1, -1, 1, 1, 0, 0, 2, -1, 0, 4, -1, -2, 0, -1, 1, 1, 1, 1, -2, 1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 2, 0, -1, 6, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, -1, 2, -1, -1, 0, 2, -1, 2, -1, -2, 2, 6, -2, 2, -2, -1, 1, 0, 0, -2, 1, 2, 1, 2, 1, -2, -1, 2, 0, 0, 1, 0, 0, -2, 4, 1, 1, 2, 0, -1, 1, -1, -1, -1, -2, -2, 0, 2, 0, 0, -1, 2, 0, -1, 2, 2, 1, 4, 0, 1, 1, 0, 0, -2, 1, 1, -1, 0, 0, 0, -1, 2, 0, -1, 1, 1, 2, -2, 1, 0, 4, 2, 1, 2, 1, 1, 0, 0, -1, 0, -2, 1, 0, 0, 0, -1, 2, 1, 1, -1, 2, 1, 2, 4, 2, 2, 1, -1, 0, 0, -2, -1, 0, 1, -1, 1, 0, -1, 1, 1, 1, 1, 0, 1, 1, 2, 4, 3, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 1, -2, 2, 1, 1, 0, -1, 0, 2, 2, 3, 6, 0, 1, 0, 1, 0, 1, -1, -1, 0, 1, -2, -1, 1, -2, 1, 0, 1, 0, 1, 1, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 0, -2, -1, -2, 1, -1, 0, 1, 0, 4, 0, 0, 0, 1, -1, -1, 1, -1, 1, 1, 1, 0, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 4, 2, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 2, 2, -1, 1, 0, 0, 0, 1, 1, 0, 2, 4, 0, 1, 0, -1, 1, 1, -1, -1, -1, -1, -1, 1, -2, -1, -1, -2, -1, 0, 0, 0, -1, 0, 4, 1, -1, -1, 1, -1, 0, 0, -1, 0, 2, 2, -2, 0, 0, -1, 1, 1, 0, 1, 0, 1, 1, 4, -1, -2, 0, 0, 0, 1, 1, -1, -1, 1, 0, 0, -2, 0, 0, -1, 0, -1, 1, 0, -1, -1, 4, 0, 0, 1, 0, 0, 1, 0, -1, -2, 2, 0, 1, 1, -1, -1, 0, -1, 0, -1, -1, -2, 0, 4, 1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 4, -1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, -1, -1, 1, 1, -1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 1, 2, 1, -1, -2, 2, 0, -1, 2, -2, 1, 2, -1, 1, 1, 1, 1, 1, 4, -1, 0, -2, 2, 1, 0, 0, -1, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0, 0, -1, -1, -1, 4, -1, 0, 0, 0, 1, -1, 0, 0, -1, -1, -1, 0, 0, 0, -1, 1, 1, 1, 0, -1, 0, -1, 4, 2, 0, 0, -2, -1, 0, -1, -1, 0, 0, 0, -1, -2, 2, -1, -2, 0, 0, -1, -2, 0, 2, 4, -2, -1, -2, -1, 0, -1, -1, 0, 1, 1, 0, -2, 1, -1, -1, 1, 0, 1, 2, 0, 0, -2, 4, 2, 0, -1, -1, 1, 0, -1, -1, -2, -1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, -1, 2, 4, 0, -2, -2, 2, 0, -2, 1, -1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, -2, -2, 0, 0, 4, 0, 0, 1, 0, 0, 0, -1, 1, 1, -2, 0, 2, 0, -1, -1, 0, -1, -1, -1, -1, -2, 0, 4, 2, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0, -3, -1, -2, -1, 0, 0, 0, -1, -2, 0, 2, 4, -1, 1, 2, -1, 1, 0, -1, 1, 0, 0, -2, -1, 2, 1, 0, -1, -1, 1, 2, 1, -1, -1, 4, 1, -1, 1, -1, 2, 1, 0, 1, 0, 2, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 4, 1, -1, 0, 1, 0, 1, 1, -1, 0, 1, -1, 0, -1, 0, 0, -1, -2, 0, 1, 2, -1, 1, 4, 0, 0, 0, -1, 0, -1, 0, -2, -1, 2, 0, -1, 0, 1, -1, 1, 0, -1, -1, 1, -1, 0, 4, 0, 1, 1, 0, 0, 0, 0, 0, -2, -1, 0, 0, 1, -2, -1, -1, 1, 1, -1, 0, 0, 0, 4, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, 1, 1, -1, 0, 2, 1, 0, 1, 1, 4, 0, -1, 1, 1, 2, 1, 2, 1, 0, -2, -2, 1, 2, 1, 0, -1, 1, 0, -1, 1, -1, 0, 4, -1, 1, 1, 0, 1, -1, 0, -1, 2, 1, 0, 0, -2, 0, 1, 0, 1, 0, 0, 0, -1, -1, 4, 0, -2, 0, 0, 1, 0, 1, -1, -1, 1, 2, 0, 0, 0, 1, 1, -1, 0, 0, 1, 1, 0, 4, 0, 1, 2, 1, 0, 1, -2, -1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 1, 1, -2, 0, 4, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, -3, -2, 2, 0, -2, 0, 0, 2, 0, 0, 1, 1, 6, 1, 1, -1, 0, 0, 0, 1, 2, -1, -1, -1, 0, 1, -1, 0, 0, 1, 1, 0, 2, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, -2, 2, 0, 1, 1, -2, -2, 0, 1, 2, -2, 1, -1, 2, 0, 0, 0, -1, -1, 4, 0, 1, 2, 1, 0, 0, -1, 2, 0, 1, -1, 0, 1, 0, 0, -1, 1, 0, 0, 1, 1, 0, 4, 2, -1, 2, 1, 2, 1, -1, -1, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, -1, 2, 1, 2, 6, -2, 4, 2, 1, -1, 0, -2, 1, -1, 0, -1, 1, -2, 1, 1, 1, 1, 0, -2, 2, -1, -2, 6, -1, -1, 1, -2, 2, 1, -1, -2, 0, 0, -2, 1, -3, 2, 1, -2, 1, 2, 1, 2, 4, -1, 6, 0, 2, -1, 0, -1, 1, 0, 1, 0, -1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, -1, 0, 4, -1, -1, 0, 0, 1, -1, -1, -1, 0, -2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, -1, 4, 0, -1, -1, -1, -1, 1, -1, -1, 1, 0, 0, 1, -1, -1, 1, -1, 1, -1, -2, -1, -1, 0, 4, -2, 0, 0, 1, 0, 0, 1, 1, 1, 0, -2, 1, -2, -2, 2, -1, 0, 2, 0, 0, -1, -2, 4, 1, 0, -1, -1, 2, 0, 0, -1, 0, 1, -1, 2, -2, 0, -1, -2, 1, -1, 0, -1, 0, 1, 4, -1, -1, -1, 1, -1, 0, 0, 0, -1, -1, 1, 0, 1, 1, 1, -1, 1, 1, -1, 0, 0, -1, 4, 0, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, -1, -2, 0, -1, -1, 1, -1, -1, 0, 4, 0, 1, 0, 0, 1, -1, -1, 1, 0, 2, 0, -1, 0, 0, 1, -1, 1, 0, -1, -1, -1, 0, 4, -2, 0, 0, 1, 0, 0, -1, -1, -2, 1, 0, -1, 0, 0, -1, -1, 0, 2, 1, 1, 1, -2, 4, 0, 1, 0, -1, 0, 0, 2, 1, 0, -1, 1, -2, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 4, -1, 1, 0, 0, 1, 0, -1, 0, 0, -2, 1, 0, -2, 1, 1, 0, 0, 0, 0, 0, 1, -1, 4, -1, -1, 0, 0, 0, 2, -1, 0, 1, -3, 1, 0, 0, 1, -1, 0, 0, 1, 1, 0, 1, -1, 4, -1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 4, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, 1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 4, 0, 1, 0, 0, 1, 1, -2, 0, 1, -1, 1, -1, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 4, -1, -1, 1, -1, 0, 1, 1, 0, -1, -2, 2, 1, 1, 0, -1, 2, 0, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 1, -2, -1, 0, -2, -2, -1, 0, -2, 1, 2, 1, -1, -1, 1, 1, 1, 1, -1, 4, -2, 0, 1, 1, 2, -1, -1, 0, 0, 0, 0, 0, -1, 1, -1, 2, -2, -2, -1, 1, 2, -2, 4, 1, -1, -2, -2, 0, 0, -1, -1, 1, -2, 1, 2, 0, -1, -2, 1, 2, 1, -1, 0, 0, 1, 4, -1, 1, -2, 0, 1, 1, 1, -1, -1, 0, -1, 1, -2, 0, 1, 2, -1, 0, 1, 1, -1, -1, 4, 0, 1, -1, -1, 0, 1, -1, 1, 1, 1, 0, -1, 1, 0, 0, 0, 0, -2, 1, -2, 1, 0, 4, 1, 0, 2, 2, 2, 0, 1, 0, -1, 0, -1, 1, 0, 0, -2, 0, -1, 2, -2, -2, 1, 1, 4, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 2, -1, -2, 0, 0, 0, -1, 0, 0, -1, 0, 0, 4, 2, 0, -1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, 1, -2, -1, 0, 1, -1, 2, 0, 2, 6, 1, 0, -1, 1, -1, 0, -2, 0, 1, 1, 0, 0, -1, -2, 0, -1, 1, 0, 2, 0, 0, 1, 4, 1, 0, 1, 0, -2, -1, -1, 0, 0, 0, -1, 0, -1, 0, -1, 1, 1, 2, 0, -1, 0, 1, 4, -1, 1, 1, 0, 1, -1, 0, 1, 2, -2, -1, 0, 0, 1, -1, -1, 0, 1, 0, -1, 0, -1, 4, -1, 0, 0, 0, 0, -1, -1, 0, 1, 0, -2, 0, -2, -1, 1, 1, 0, 0, 1, 1, 1, -1, 4, -1, 0, 0, 1, 1, -1, 0, -1, -1, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, -1, 4, 2, 0, -1, -1, 1, 2, -1, 0, 2, -1, 2, -1, 1, -1, -1, 1, 0, -2, 0, 0, 0, 2, 6, 0, -2, -2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, -1, -1, -2, -1, 1, 0, 0, 0, 0, 4, 0, 0, -1, 1, -1, 1, -1, -1, -1, -2, -1, -1, 0, -1, 0, -1, -1, 0, 1, -1, -2, 0, 6, 0, 0, -2, 1, 0, -1, 2, -2, 0, 1, 1, 2, 0, 1, 0, 0, -1, 1, -1, -2, 0, 0, 4, -1, -1, 0, 0, 1, -2, 1, 1, 0, 0, -1, 0, 1, 0, 1, -1, -1, 1, 1, -1, 0, -1, 4, 1, 0, 0, 1, -2, 2, 2, 0, 0, -2, 1, 0, 0, 2, 0, 0, 2, 2, 1, -2, -1, 1, 6, 0, -1, 1, -1, 1, -1, 0, -2, 0, 1, 0, -1, -2, 1, -1, -1, 0, -1, 1, 0, 0, 0, 4, 0, 1, 1, -1, 0, 0, 0, 0, 1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -2, -1, 1, 0, 1, 1, 0, -2, -1, 0, 0, -1, 0, 1, -1, -2, -1, 1, -2, 6, 2, -2, -1, -1, 0, 0, -2, -1, 1, 0, -1, 2, 2, -1, 0, -1, -1, 1, 1, -3, 0, 2, 4, -2, -1, 0, 0, -1, 0, 1, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 4, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, -1, 0, -1, 1, 0, 0, -1, 2, -2, -1, -1, 1, 4, 1, 0, -1, -1, 0, -1, 1, 2, -1, 0, 0, -1, 0, 2, 1, 0, 0, -1, -1, 0, 1, 1, 4, 1, -1, -1, 0, 0, 0, 1, -2, -1, 2, 0, 1, 0, 1, -1, -1, 1, 0, 0, 0, 0, 1, 4, -1, -1, -1, 1, -1, -1, 0, 1, 0, -1, 2, -1, 1, -2, -2, 0, 0, -1, 1, -1, -1, -1, 4, 0, -1, 0, 1, 0, 2, -1, 0, 1, 0, 0, 0, 0, 1, 1, -2, 0, 0, -1, -1, -1, 0, 4, 0, 0, 1, -1, 0, -1, 0, 0, -1, 1, -1, 1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 0, 4, 1, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, -1, 0, 1, 0, 0, 1, 4, 1, -1, 1, 1, 0, 0, 1, 0, 1, -1, -1, -2, 0, 0, 1, 1, 0, -1, 1, 1, -1, 1, 4, 0, 0, -1, 1, -1, 0, 2, 1, 0, 0, -1, -1, -2, 1, 2, 1, -1, 0, -1, 1, -1, 0, 4, -1, -1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, -1, -2, 0, 2, 0, -1, 1, 0, -1, 4, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 0, -1, 1, -1, -1, 0, 1, -1, -1, 1, 4, -2, 0, 0, -1, 0, 0, -1, -1, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -2, -2, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, -1, 0, -1, 1, 0, 1, 0, -1, 1, 0, 0, 0, 4, 0, -1, 0, 1, 1, 1, -1, 0, 1, 0, 1, 2, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 1, -2, 0, -1, -1, 0, 0, 2, 0, -1, 0, 1, 0, 0, 2, 1, 0, -1, 0, -1, 0, 4, 0, 0, 0, -2, 1, 0, 0, 1, 1, 1, 0, -1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 4, 0, -1, -1, 1, 0, -1, 0, -1, -2, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, -2, 0, 0, 4, 0, 1, -3, -2, 2, 0, -1, -2, 1, 1, 2, -1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, 2, -1, -1, 1, 2, -1, -2, 0, 1, 1, 1, 0, -2, -1, -1, 0, 1, -1, -1, 4, -1, 0, 0, 1, 0, 0, -2, 1, 2, 0, -2, -1, -1, -1, 0, -1, 2, 1, -2, 0, 0, -1, 4, -1, 0, -2, 0, 0, 1, 1, 0, -1, 1, -1, 2, 1, 2, 1, 0, -2, -1, 0, -1, 0, -1, 4, -1, 2, 2, -2, -1, -1, -1, 2, 1, 1, -2, -1, 0, 1, 0, 0, -1, -1, 2, 0, 0, -1, 4, -2, -2, 2, 2, 0, -2, -1, 0, 1, 1, 1, 0, 0, 0, 0, -1, 1, -1, 1, -2, 2, -2, 4, 1, -2, -2, 0, 0, 2, 0, 0, -2, -1, -1, 0, 1, 1, 1, -1, -1, 0, 0, 2, -2, 1, 4, -1, -1, 0, 1, 2, 0, 1, -2, -2, 0, 0, 0, 0, -1, -2, 1, 0, 0, -2, 2, -2, -1, 4, 2, 0, -1, -1, 0, 0, 1, 1, -1, 0, -1, 1, -1, 0, 2, -2, 1, -1, 2, -2, -1, 2, 4, 0, -2, 0, 1, 0, 1, 1, -1, 0, -1, -1, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 4, 2, 0, -1, -1, 0, 0, 2, -1, 2, 0, -1, 0, -2, 2, 0, -1, -2, 0, 1, -1, -2, 2, 6, -1, -3, -2, -1, -1, 2, -1, 1, 0, 0, 0, 0, 0, -1, 2, -1, 2, 2, -1, 0, 0, -1, 4, 1, 1, -2, -2, -2, -1, 0, 0, -1, -2, 1, -2, 1, 1, 0, 0, 0, 0, 1, -1, -3, 1, 4, 1, 1, 0, -1, 1, -1, -1, 0, -1, 1, -1, -1, 1, 1, 0, 1, 0, 0, -1, -2, 1, 1, 4, -1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 2, -2, 1, -2, -2, 1, 1, 0, -1, -2, 1, -1, 4, 1, 0, 0, -1, -1, 1, 1, 0, -1, 1, -1, 1, -1, -2, 1, 1, 0, -1, -2, 0, 0, 1, 4, 2, 2, 0, 0, 0, 2, -2, 0, 2, 0, 0, -1, 0, -1, -1, 2, 2, -2, -1, 0, 0, 2, 6, 2, 2, 0, -1, 2, -1, -1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, 1, 0, 0, 2, 2, 4, 0, 0, 0, 1, -1, 2, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, -1, 0, -1, 0, 2, 0, 4, 0, -1, 1, 0, 1, -2, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 4, 1, 0, 1, -2, -1, -1, -1, 1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, -1, 0, -1, 1, 6, 0, -1, 0, 0, -1, 1, -1, -2, 0, 0, 0, 0, -2, -1, 0, 1, 2, 2, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, -1, -2, -2, 1, -2, -2, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 4, 0, -2, 2, 0, -2, 1, 0, 1, -1, -2, 1, 1, -1, 0, -1, -2, -1, 2, 1, 2, -1, 0, 4, -1, 1, -2, -1, 2, 0, -2, 0, 2, 1, 1, 2, -2, 2, -1, -2, 1, -1, -1, -1, -2, -1, 4, -2, 0, 1, -1, 0, 1, 2, 2, 0, -2, -1, 1, 0, 2, 1, -2, 0, -1, 1, 2, 1, -2, 4, 1, -2, 0, 0, 1, 0, -1, 0, 1, 1, 0, 1, -2, -1, 2, 0, 1, 2, 0, -2, 0, 1, 4, -1, -2, -1, 2, -1, -1, -2, 0, -1, 2, -1, 0, 2, 0, 1, 0, -1, -2, -1, 1, -2, -1, 4, -1, 1, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, -1, -1, 0, -2, 1, 2, -1, 0, -2, -1, 4, 1, -1, 1, 1, 2, 0, 1, -2, 1, -1, -1, 1, -1, 0, -2, 0, 0, 0, 0, -1, 1, 1, 4, -1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, -2, 1, 1, 2, 0, -1, -1, 6, -1, 0, -1, -2, -2, 1, -1, 0, 1, 0, -1, 2, -2, -1, 0, 2, 0, -1, 0, 1, 2, -1, 6, 2, 1, -2, 2, 1, 1, 1, 0, -1, 0, 0, -2, -2, 2, 2, -1, -1, 0, 1, 1, 0, 2, 6, 1, -1, 2, -1, 2, 2, 0, -2, -1, -1, -1, 1, 1, 0, 0, -2, -1, 2, 1, -1, 1, 1, 4, 1, 0, -2, 1, 0, -1, 0, 0, 0, 1, 1, 1, -2, 1, 0, -1, 0, 0, -2, -2, -1, 1, 4, 1, -1, 1, -1, 0, 1, 1, -1, -1, -1, 2, -1, 1, -1, 1, 1, 2, -2, 2, 2, 0, 1, 6, 0, 2, -1, 0, 1, 0, 0, 1, 0, -2, 1, 0, 2, 0, -2, 0, 1, 1, -1, -2, -1, 0, 4, -2, 0, 2, 0, 2, 1, -1, -1, 2, 0, 1, -1, 0, 1, 1, -1, 1, 2, 1, 1, 2, -2, 4, 0, -1, 0, -1, -1, -1, -2, -1, 2, -2, 0, 1, -1, 1, 0, 1, 2, 0, -1, -1, 0, 0, 4, 1, -2, 0, -1, 1, -1, -2, 1, -1, 2, 0, -1, 0, 1, 0, 0, -1, 0, 0, 2, -1, 1, 4, -1, 1, 0, 1, 2, 1, -2, 2, 0, -1, 1, 0, 0, -1, -2, 0, 1, 1, 0, 0, -2, -1, 4, 1, 1, 1, 1, -1, 0, 0, 1, -1, -1, 0, -1, 0, -1, 0, 1, 0, 2, -1, 0, 1, 1, 4, 0, 1, 2, -1, -1, 1, 0, 0, 0, 0, 2, 0, -1, 0, -1, 0, 1, -1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 1, 2, 1, 1, 1, 2, 0, -1, -1, 1, -2, -1, -1, 2, 0, 0, 0, -2, 0, -1, 4, 1, -2, -1, 0, 1, -2, -1, -1, -1, 1, -2, 2, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1, 4, -1, 0, -1, 2, -2, 1, 0, -2, -1, 1, 1, 0, -2, 1, 1, -1, -1, -1, -1, 1, -2, -1, 4, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, -1, 0, -1, -1, 1, 1, 0, 1, 2, -1, 0, 0, 4, 0, 0, 0, 2, 0, 0, -1, 1, -3, 0, -1, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 4, -1, 0, 0, 1, 1, 1, 0, -2, -1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, -1, 4, -2, 1, 0, -2, -1, 0, 1, 1, 0, 0, -1, 0, 1, 0, -1, 1, -2, -2, 0, 0, 0, -2, 6, 0, 1, 1, 0, 0, -1, -1, 1, 0, 1, 1, -1, 0, 0, 2, -1, 1, 0, 2, 0, 1, 0, 4, 0, -1, -2, 2, -2, 0, -1, 2, 1, 0, -1, -1, -1, 0, -1, 0, -1, 0, 1, 0, 1, 0, 4, 0, 1, -1, -1, 1, 1, 0, 1, 0, -1, 1, -2, -1, -1, -2, 0, 0, 1, -2, 1, -1, 0, 4, 1, -1, 0, -1, 0, 0, 1, 1, -1, 0, 1, -1, 1, -1, 0, -1, 1, -1, 0, -2, 1, 1, 4, -2, 1, -1, 1, -1, -1, 0, 0, 1, 1, 1, -2, 1, 2, 1, 0, 0, 0, 2, -1, -1, -2, 6, -2, 0, -1, 1, 0, 1, 0, 0, 0, -2, 2, 1, 0, -3, -2, 1, -1, -2, -1, 0, 1, -2, 6, -1, 0, -2, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, -1, 1, -1, 0, 1, -1, -1, 0, -1, 4, 0, -1, -1, 0, 1, 0, -1, -1, 0, -2, 0, -1, 1, 0, 1, -1, 1, 0, 1, -1, 0, 0, 4, 0, -1, 0, 1, 2, 0, 2, 0, 1, -1, 1, 2, 0, 0, 2, 0, 0, -1, 1, -2, -1, 0, 4, 1, 0, -1, -1, 0, 0, -1, 1, -1, 0, 0, -1, 1, 1, 1, 1, -1, 0, 0, -1, -1, 1, 4, 0, -2, 0, -1, 0, 0, -1, 1, -1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 1, -1, 1, 0, 0, 1, -1, -1, -1, -1, 0, 0, 0, 1, 1, -1, -2, 0, 4, 1, 1, -2, 0, -1, 0, -1, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 2, -1, 0, 0, 1, 4, -1, 0, 1, -1, 1, 0, 0, -1, 0, -1, -2, 1, 1, 0, 1, -1, 0, 0, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, 0, -1, 0, 1, 2, 1, 1, 2, -1, -1, 2, 1, -1, -2, 2, 2, -1, 1, 1, 4, -1, 0, 1, 1, 0, 2, 1, 2, 2, 0, -2, -1, 1, -1, 0, -1, 1, 1, -2, 1, 1, -1, 4, -1, 1, 0, 1, 0, 1, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, -1, 2, 0, 0, 0, -1, 4, 0, -1, 0, 0, 0, -1, 1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 4, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, -1, 2, 2, -1, -2, -1, -1, -1, 1, 0, -1, 2, 4, 1, 1, 0, 1, 1, -1, 0, 0, 1, -2, 2, 1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 4, 2, -1, -1, -1, -1, -1, 0, 0, -1, -1, 1, 0, -1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 4, 1, 1, 0, 0, -1, 0, 1, -1, -1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, -1, 1, 4, 1, 2, 2, 0, 0, 2, 0, 0, -2, 2, 2, -1, 0, 1, 2, -1, -1, 1, 1, -1, 1, 1, 4, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -2, 0, 1, 2, 1, 1, 2, 1, -1, 0, 2, 0, 6, 2, -1, 0, 1, 0, 2, 0, 0, 0, -1, 0, 2, 0, 0, 1, 0, -1, -1, 0, 2, 0, 2, 4, -1, 0, 1, 1, 0, -2, 1, 2, -1, 0, -1, -2, 1, 0, 0, 0, -1, -1, 0, 0, -1, -1, 4, 1, -1, 0, 1, 2, -1, -2, 2, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 1, 4, 0, -1, 0, 2, -1, -2, 0, -2, 2, 1, 1, -1, 1, 1, 0, 1, 2, 1, 1, 1, -1, 0, 4, 0, 0, -2, 1, 1, -1, 0, 1, -1, 1, 1, -1, -2, -1, -1, 0, -1, 0, 1, 0, -1, 0, 4, 0, -1, 1, 1, 1, 1, -1, 0, 1, -1, 2, 2, -1, -1, 0, 0, 2, 0, 1, 0, 0, 0, 4, 1, -1, -1, 0, 0, -2, -1, 1, 0, 2, 1, 1, 0, -2, 0, 0, -2, 2, 2, -2, -1, 1, 6, -2, -4, 2, -1, 2, 1, 1, 0, -1, -1, 0, 1, 2, 0, 0, 1, -1, -1, 1, 1, -1, -2, 4, 2, 0, 1, 2, 1, -1, 0, -2, -1, -1, 0, 2, 0, 0, 2, -2, -2, 1, 1, -1, -4, 2, 6, -1, 1, -1, -2, 2, 1, -1, 0, 2, 0, -1, -2, -1, -1, 2, 0, -1, 1, 0, 2, 0, -1, 6, 1, 1, 1, 0, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, -2, 0, 1, 0, -1, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 2, 2, -2, -1, -2, -1, -1, 2, -1, 2, 2, 2, -1, -2, -2, 2, 2, 1, 4, 0, -2, 0, 0, 0, 0, -1, 0, -2, -2, -1, 1, 2, -1, 2, 1, -1, -2, 1, 2, -1, 0, 4, 2, -2, -1, -2, 1, 0, 1, 0, -1, 0, -1, -1, -1, 0, 1, 1, 0, -2, -2, -2, -2, 2, 6, 0, 0, -2, 1, -1, 0, 1, -1, -2, -2, -1, 0, -2, 2, 2, 2, -3, -1, 1, 0, -2, 0, 4, 2, 2, -1, -1, -1, 0, -1, 1, 0, 1, 0, -1, 1, 0, 1, 1, 2, 2, 0, -1, 0, 2, 4, 1, -2, -2, -2, 0, -2, 2, 0, 2, 0, 1, -1, 0, -1, 2, 1, 2, 0, -2, -2, 2, 1, 4, -2, 0, -1, -1, 0, 1, 0, 1, 2, 1, 0, -2, -1, 1, 1, -2, 0, 1, 1, -1, -2, -2, 4, 1, 1, 1, 1, -1, 1, -1, -2, -2, 0, 1, 2, -2, -1, -1, -1, 0, -1, -1, -2, 0, 1, 4, 1, 0, 1, 1, 0, -2, 0, 0, 0, -1, 0, 0, -2, -2, 0, 1, 0, -1, -2, -1, 1, 1, 4, 0, 2, 0, 1, -1, 0, 0, 0, 1, 1, -2, -1, -1, -2, 0, 1, 0, 0, -1, 1, 0, 0, 4, 1, 0, 1, -2, -1, -3, -2, 2, 3, 0, -2, -1, -2, -1, -1, -1, -2, 0, 1, 1, 2, 1, 6, 1, 1, -1, 2, -2, -2, 0, 2, -2, 0, 2, -1, 0, -2, 1, 2, 1, -1, 1, 0, 0, 1, 6, 0, 0, 1, 1, -2, -1, -1, 1, 0, -1, 1, -1, -2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 4, 0, -2, -1, -2, 1, 1, 0, 0, 2, 2, -1, -1, 1, 2, 1, -1, -2, -1, -2, -1, 0, 0, 4, 1, 2, 0, -1, -2, 1, 2, 2, -1, -1, 0, 0, 0, 2, -2, 0, 0, -1, 2, 1, -2, 1, 6, 1, -1, -2, -1, 0, 1, 2, 2, 0, -2, -1, 1, 1, -2, 0, 0, -3, -2, 1, -1, 2, 1, 6, 0, -2, -4, 2, 1, -1, 1, 1, 2, 1, -1, 0, 0, 0, 0, -2, -2, -2, -2, 0, -1, 0, 6, 0, 0, -1, 0, -2, -1, 1, 2, 0, 0, -2, 1, -1, 1, 2, 0, -1, 1, -1, -2, -2, 0, 4, 2, -1, -1, -2, -2, 0, 2, 1, -1, -1, 2, 0, 1, 3, 2, -1, 1, -2, -1, -4, 0, 2, 6, -1, -1, 2, 1, -2, -3, 1, 2, 1, -2, 0, -2, 0, -2, 1, 0, 1, 0, 2, -1, -1, -1, 6, 0, 2, 2, -2, -1, 2, 1, 1, -1, -2, -1, -2, 0, 0, 0, 2, 1, 1, 0, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, -1, -1, 1, 1, 2, 1, 1, -2, -1, 1, -1, -1, -1, 1, 2, 1, 0, -2, 1, 4, 1, -1, -1, -2, 1, 2, 0, 0, 1, -2, -2, 1, 1, 1, 1, 1, -1, 1, 0, -1, 1, 1, 4, 0, -2, -1, 1, 1, 1, -1, 2, 1, 1, 0, 1, -1, 0, 0, 0, 2, -1, 0, 0, -1, 0, 4, -1, 1, 1, 1, 1, -1, 1, -1, 0, -1, 0, 1, 1, -1, 1, 1, -1, 0, -1, -1, -2, -1, 4, 1, -2, -2, -1, 1, -2, 0, 0, -1, 0, 1, 0, 1, -1, -2, 2, 1, -1, -2, -1, 1, 1, 4, -2, -1, 0, 1, -1, 2, 2, -1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 1, 1, -2, -2, 4, 2, 0, 0, 2, -1, -1, 1, -1, 0, 1, 0, 1, 2, -1, 0, 1, 2, 1, 1, -2, -1, 2, 4, 0, -1, 2, -1, -1, 1, 0, 1, 0, 0, 0, 2, -1, 0, 2, 0, 1, 1, -1, 0, 0, 0, 4, -1, 0, -2, 0, 0, 0, 0, -1, -1, 1, 0, 0, -2, 1, 0, -1, -1, 1, 1, 0, -1, -1, 4, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, -2, -1, 2, 2, 0, 0, 4, 0, -1, 0, 1, 0, 1, 1, 0, 2, -2, 0, -2, -2, 1, -1, 0, 2, -1, -1, -2, 0, 0, 6, 2, -1, 1, -1, 0, 0, -1, 0, -1, 2, -1, -2, 1, 0, 0, 2, -1, -1, 0, 0, -1, 2, 6, 1, 0, -1, -2, -3, 0, -1, 1, 1, 1, 1, 0, -1, -1, -1, 1, 1, 0, 1, 0, -1, 1, 4, 0, -1, -1, -1, 1, 0, 1, 0, -1, 1, 1, 0, 0, 1, -1, 0, 0, 0, 1, 1, 0, 0, 4, 1, 1, 0, -2, 0, 0, 1, -1, 1, -1, 1, 1, 1, 0, 1, 0, 0, 0, -1, -1, -1, 1, 4, 2, 0, -2, 0, 0, 1, -1, 1, 0, 1, 0, 0, 1, 0, -1, 1, 1, 0, -2, -1, 1, 2, 4, 1, -1, 1, -1, 1, 1, 1, 0, -1, 1, -1, 0, 0, -1, 1, 1, 0, -3, -1, 0, 0, 1, 4, 0, 1, 0, 0, 2, -1, 0, 1, -1, -1, 1, 0, 1, 0, 0, -1, 0, 1, -2, -2, -1, 0, 4, 0, 0, -1, 1, 1, 2, 1, -2, -1, 2, 2, 0, 0, 2, 0, -1, 0, 0, 0, 1, 1, 0, 4, -1, 0, 0, 0, -1, -1, 2, 0, -1, -1, 0, 0, -2, -1, 1, 1, 0, 0, -1, 0, 0, -1, 4, 0, -2, -1, 0, 0, 1, 1, 0, 0, -2, 0, 0, 2, 1, 0, 1, 1, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -1, 1, 2, 2, -2, -1, -1, 1, -1, -2, -2, 2, 1, -1, -2, -2, 2, 1, 1, 0, 4, 0, 0, 2, 1, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, -2, -2, 2, -2, -2, -1, 0, 4, -1, 0, 0, -1, 2, -1, -1, 1, 0, 0, -1, 1, 1, -1, 0, -1, -2, 1, -2, -1, 0, -1, 4, 0, 0, -1, 1, 2, -1, -1, 1, 0, 2, -1, 1, 0, 2, 0, 0, -1, 2, 1, 2, 0, 0, 4, 2, 0, 0, 0, -2, 0, 0, 0, 1, 0, 1, -1, -1, -2, 1, 0, 0, 2, 1, 0, 0, 2, 4, 0, 0, 0, -1, 0, 0, 0, -1, 0, 2, -2, -2, -1, 2, 0, 0, 2, 1, -1, -1, 0, 0, 4, -1, -1, -1, 1, 0, -2, 0, 2, 0, 1, -2, -2, 2, -1, -1, -2, 1, 2, 1, 0, 0, -1, 4, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, -1, -1, 0, -2, -1, -1, -1, 2, 0, 0, -1, 1, 4, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, -1, 1, 2, -1, -1, -1, -1, -2, -1, -1, 0, 0, 6, -1, 1, 1, -2, -1, -2, 2, 0, 2, -1, 1, -1, 1, 0, 1, -1, 0, 0, 1, 0, 0, -1, 4, 0, -1, -2, 1, 0, 0, -2, -2, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 4, 1, 0, 0, 0, 0, 1, 1, -1, -2, -1, -2, 0, 0, 0, 0, 0, -2, 0, 0, 1, -1, 1, 4, 0, -2, 0, 0, 0, 3, 0, -1, 0, -2, 1, -1, 2, 1, -1, 0, 1, 1, -2, -2, 0, 0, 6, -2, -1, 1, 3, 0, 0, -1, 1, 2, 0, 1, -1, 0, 0, 2, 0, -1, -1, 1, 0, -2, -2, 4, 1, -1, -1, -2, 0, 1, -1, 1, 0, 1, 1, 1, 2, 0, 0, 0, -2, 0, 0, 0, -1, 1, 4, -1, -1, -1, 1, 0, 1, -1, 0, -1, 0, -1, -2, 1, 0, 0, 2, 0, 0, 0, 1, -1, -1, 4, 0, 0, 0, 0, 0, -2, -2, 0, 2, -1, -2, -2, 1, 1, 0, -2, 1, 0, 3, -1, -1, 0, 6, 2, -2, 1, 2, -2, -2, -1, 0, -2, -1, -2, -1, 0, 2, -2, 1, 3, 0, -2, -1, 0, 2, 6, -1, -1, 1, 2, 2, -2, 0, 1, 2, 2, -1, -1, -1, -1, -1, 0, 0, 0, 1, 0, -2, -1, 6, -1, 0, 1, -2, 1, -1, 0, 0, -1, 0, 1, 1, 0, -2, -1, -1, 1, 0, 0, 1, -1, -1, 6, 1, 1, -2, -2, 2, 0, 0, -1, -2, 2, -1, -1, -1, 0, 1, -1, 1, 0, 2, 1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, -2, -1, -2, -2, 0, -2, 1, -1, -2, -1, -1, 0, 0, 0, -1, -1, 0, 1, 4, 0, 0, 0, -2, -1, 1, -2, 1, 1, 2, 0, 1, 1, 1, -1, 0, -1, 0, 0, -1, 2, 0, 4, -2, -1, -1, 0, -1, -2, 0, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, 1, -2, 0, -2, 4, 2, 1, -1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, -1, 0, -1, 2, 4, 2, -2, -1, 0, 0, -1, 2, 2, 1, 0, 2, 2, 2, -1, 2, -1, 0, -2, -2, -1, 1, 2, 4, 0, -1, 2, -1, -1, -1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, -1, -1, 0, -1, -2, 0, 4, 2, 2, -1, 2, -2, 0, 0, 0, 0, -1, -1, 1, -1, 1, 0, -2, 1, -1, 1, -1, -1, 2, 6, 1, -1, 2, 1, 0, 2, 2, 0, -1, -2, 1, 1, 2, -1, -2, -2, -2, 0, 0, 2, 2, 1, 6, -2, 0, -1, 2, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1, -1, -2, 4, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, -2, 1, -1, 1, -1, -1, 2, 2, 0, 0, 6, 0, -1, 2, 0, 0, -1, 0, -1, -1, 2, 0, 1, 2, -1, 1, 2, -1, -2, 1, -1, -1, 0, 6, 1, 0, 1, 1, 1, 0, -1, 2, -1, -2, -1, 0, -1, 1, 2, 1, 0, 0, 2, 0, -1, 1, 4, 0, 0, 2, 0, 1, 0, 1, -1, 0, -2, 1, -1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 4, 1, 1, 0, 1, 0, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 2, 0, -1, 0, 1, 0, 1, 4, 1, -1, -2, -1, 1, 0, -1, -1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 4, 1, 1, -1, 1, -1, 0, 0, -1, 0, 1, 2, 2, -1, -1, -1, 0, -1, 1, 0, 0, -1, 1, 4, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, -1, -2, 0, 1, 0, 0, 1, 1, -2, 1, 1, 4, 0, 0, 0, 1, 0, -1, -1, 1, -1, 0, 1, 1, 1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 4, -1, 1, 0, -1, 0, -1, 1, 2, 1, -1, 1, 0, -1, -1, 2, 1, 0, 1, 1, 1, 0, -1, 4, 0, -1, -1, 0, -1, 1, -1, 0, 1, 2, 0, 0, 2, -1, -1, 2, 0, -1, 0, 0, 1, 0, 4, 0, 0, -1, 1, 0, 0, 1, 0, -1, 1, 0, 0, -2, 0, 0, -1, 0, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 1, -2, 0, 1, 0, 0, -2, -1, 0, -1, -1, -1, 2, -2, 0, -2, -1, 2, -2, 4, 2, 2, 1, 0, 1, -1, 0, -1, 2, 1, 0, -1, 0, 0, -1, 2, 0, 2, 1, -1, -2, 2, 4, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, -1, 1, 1, 0, 0, 0, 2, 2, -1, -2, 2, 0, 4, 0, 0, 0, -1, 1, -1, 1, 2, 0, 1, 0, 1, -2, 2, 0, 1, -1, 0, 1, 1, 1, 0, 4, -2, 2, 0, 1, -1, 0, 1, -1, 0, -1, 1, 1, -1, 1, 0, 1, 2, -2, 0, 1, 0, -2, 4, 0, 0, -1, 1, 1, -1, 1, 1, 0, 1, -1, 1, -1, 1, 0, -1, 0, 1, 1, 0, 2, 0, 4, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 0, 1, 1, 2, 2, 1, -1, 0, -1, 0, 0, -1, 4, -1, 1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 1, 1, -1, -1, -1, 6, 1, -1, 0, -1, -2, 1, 0, -2, -1, -2, -1, 1, -2, 0, -1, 0, -1, -1, 1, -1, 1, 1, 4, -1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -2, 2, 2, 1, 0, 1, 1, 0, -1, -1, 4, 0, 0, -1, 1, 1, -1, 1, 0, 2, 1, 0, -1, 1, 0, 2, 1, -1, 1, -1, 0, -2, 0, 4, 0, 1, -1, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 1, -1, -1, -1, 0, 0, 0, 4, -1, 1, -1, 1, 0, 0, 0, -2, 0, -1, -1, -1, 1, 0, 1, 1, 0, -2, 0, -1, 1, -1, 6, -2, 2, 0, 1, 1, 0, 0, 2, -1, 0, 1, 0, -1, 0, -1, -1, 1, 0, 1, -1, 1, -2, 4, -1, -1, -1, 0, 1, 0, -1, -1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, -1, 2, -1, 4, 0, 0, 0, 1, 1, 2, 2, -1, 0, -2, 1, -1, 1, 0, -2, 0, -1, 0, 1, 0, -1, 0, 4, -1, 1, -1, 0, 2, -2, 2, 0, 2, -1, 1, 0, -1, -1, 0, 1, 1, 0, 1, -1, 0, -1, 4, 0, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, 1, -2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 4, 0, 0, 2, -2, 2, 2, 1, 0, 1, 1, 0, -1, -1, 2, 0, 0, 0, 1, 1, -1, 1, 0, 4, 2, 0, -1, 1, 2, -1, 1, 0, 2, 0, 1, 1, 1, -1, -2, 0, 0, 1, 0, 0, 0, 2, 6, -1, 2, -1, -1, 0, 2, -1, 2, 1, -2, -1, 0, 0, 0, 2, -1, 2, 2, -1, 2, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -2, 2, -1, 1, 1, 1, -1, 0, -1, 1, -1, 0, 1, 1, -1, 0, -1, 0, 1, 4, -2, 1, 0, 1, -1, -1, 1, -1, -1, -1, -2, 0, 0, -1, -1, -1, 0, -1, -1, 1, -1, -2, 4, -2, 0, -1, 1, 0, -2, 1, 2, 0, 0, -1, -1, 0, 1, 0, 0, -1, 1, 0, 1, 1, -2, 4, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, 1, 0, -1, -2, 0, 0, 0, 4, -1, -1, 0, -1, 0, 1, -1, 0, -1, 1, 0, 0, -2, 0, -1, -1, 1, 2, 1, -1, 2, -1, 4, -1, 1, 1, 0, -1, 1, 0, 0, -1, -1, 0, 1, 1, 0, 0, -1, -1, -1, 1, 0, -1, -1, 4, -1, -1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 0, 1, 0, 1, -1, 4, -1, 2, 1, -1, -1, 0, 0, -1, 2, 1, 0, 0, -1, 0, 1, 1, -2, 0, -1, 1, -1, -1, 4, -2, -2, 0, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 2, -2, 4, 1, -1, -1, 0, -1, -1, 2, 0, -1, -1, -1, 1, -1, -1, 2, 0, 1, -1, 1, 1, -2, 1, 4, 0, -1, -1, -1, -1, 2, -1, 1, -1, -1, 1, 0, -1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 4, 1, 0, -1, 0, -1, 1, 2, 1, 0, -1, -1, -2, 0, 0, 0, 0, 1, -1, 1, -1, -1, 1, 4, 1, 1, 1, -1, 0, 0, 2, 1, -1, 1, 0, -1, 1, -1, 0, 1, 0, 1, 0, -1, 0, 1, 4, 0, 0, 0, 0, -1, 2, 1, 0, -1, 0, -1, -1, 1, -1, 0, 0, 1, -1, -1, -1, 1, 0, 4, 2, -1, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, -1, 1, -1, 1, -1, -1, 0, 1, 0, 2, 4, -1, 0, 0, 1, 1, 0, 1, -1, 1, 0, 0, 0, 0, 2, -1, 2, 2, -1, -1, 0, -1, -1, 4, 0, -1, -1, -1, 1, 1, -1, 0, 0, -2, 1, 0, 1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 4, 0, 1, 1, -2, -1, 0, 0, 1, 0, 1, 1, 0, -1, -1, 1, 2, 0, -1, 0, 0, -1, 0, 4, 0, 0, 0, 0, -1, -1, 1, -1, 0, 1, 0, 1, -1, -1, 1, 2, 2, 1, 1, -1, 1, 0, 4, 2, -1, -1, -1, 1, 0, -1, 0, 0, -1, 1, -1, -1, 0, 1, 1, 0, 1, -1, 1, 0, 2, 6, -2, 0, 1, 0, -1, 1, -1, 0, 0, -1, 1, 1, -1, -1, 0, 1, 0, 1, -2, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, -2, 1, 1, -2, -1, 0, 0, -1, -1, 1, 0, 0, -1, 1, 1, 0, -1, -2, 4, 2, 1, 1, 0, 1, -1, 1, 0, -1, 1, -1, 1, -1, -1, -1, 0, -2, -2, 1, 0, -2, 2, 4, 1, 2, 1, -1, 0, 1, 1, 0, 0, 1, 2, -1, -1, 0, 0, 0, -1, 0, 0, 0, 1, 1, 4, 2, -1, 2, -1, -1, -1, 0, 0, 1, 1, 1, 1, 1, -2, -2, -2, 0, -1, -1, 1, 2, 2, 4, -1, 1, 0, -1, -1, 0, 0, 2, 1, 1, 1, 0, 0, 0, -2, 0, 0, -2, 0, 1, -1, -1, 4, -2, -1, 2, 1, 0, -1, 1, 1, -1, 0, 1, 1, 1, 1, 0, 0, 1, 1, -1, 2, 1, -2, 4, 0, -1, -2, -1, 1, 0, 0, 1, 1, 0, -1, -2, -1, 1, -1, 1, -1, 0, -1, 0, -1, 0, 4, 0, -1, -1, 1, 0, -1, 0, 0, 0, 1, 2, 2, 1, -1, -2, 1, 1, -1, -1, 2, -1, 0, 4, 0, -1, 0, 0, 1, -2, 0, 1, 0, 0, 0, 1, 1, -1, 0, 1, -1, -1, 1, -2, -1, 0, 4, 2, -1, -1, 1, 0, -1, -1, 1, 0, 1, -2, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 2, 4, -2, -1, 1, 0, 0, -1, 0, 1, 1, -2, 1, 0, 1, 0, 0, 0, -1, 1, 1, 0, -1, -2, 4, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0, -1, -1, 1, 1, 2, 1, 0, 0, 0, -1, -1, -1, 6, 1, 2, 0, 2, 0, 1, 0, 1, -1, -1, 1, 2, 1, 1, 1, 0, -1, 1, 1, 1, -1, 1, 4, 0, 0, 1, 0, 1, -1, 0, 0, 1, -1, -1, 1, 1, -1, 1, 0, -2, 0, 0, -1, 2, 0, 4, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 1, 1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 4, 1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, 2, 1, 0, 1, 4, -1, 0, -1, 1, -1, -1, 0, 0, -2, 0, 1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 4, 2, 2, 0, 0, 1, -2, 0, -2, 0, 1, -2, 2, 0, 0, 1, -1, 1, 1, 0, 0, 0, 2, 6, 2, 0, 0, 1, -2, -1, -2, -2, 1, -1, 2, 0, 1, 1, 0, 0, -1, 0, -1, -1, 2, 2, 6, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, 1, -2, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 4, -1, -1, 0, 0, -1, 0, 0, -1, -1, 1, 0, 1, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, -1, 1, -1, 2, -1, 1, -2, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, -1, -1, 4, -1, -1, 1, 1, 2, 0, 0, -1, -1, -1, 1, 0, 2, 2, 1, -1, 1, 1, 0, -1, 0, -1, 4, -1, 1, -1, 1, 0, 0, -1, 1, 2, -2, 1, -1, 1, 1, 2, -1, -2, -1, 1, -1, -1, -1, 4, 0, 0, -2, -1, -1, -1, 2, 1, 1, 1, -1, -2, 0, 0, -1, 0, 1, 0, -1, 1, 1, 0, 4, 0, 0, 0, 0, 0, 2, 0, 1, -1, 2, 2, 1, 1, 1, 0, -1, -1, 1, 1, -1, 0, 0, 4, -1, 0, 0, 1, 0, -1, 2, 0, -1, -1, -1, -2, -1, 2, 0, -2, -1, 2, 1, -2, 0, -1, 6, -1, 2, -2, 0, 0, -2, 0, 1, 3, 2, 1, 1, -1, 1, 1, 2, 0, 0, -1, 0, 0, -1, 4, -2, 0, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 2, -2, 4, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, 1, -2, 0, 0, 4, 0, -2, 1, -2, 1, -1, -1, -1, 1, 1, -1, -1, -2, -1, 1, 2, 2, 0, 0, -2, 1, 0, 6, 0, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, 0, -1, 2, 1, 0, -1, 0, 0, 0, -2, 0, 4, -1, 2, -2, -1, 0, 2, -1, -2, 0, 1, 0, 1, -2, 1, 1, 2, -2, 0, 0, 1, 0, -1, 4, 0, 1, 0, -1, -1, 0, 1, 0, -2, 0, 0, 1, 1, -1, 0, 0, 0, 0, -2, 1, 2, 0, 4, -1, 0, 0, 0, -1, -1, 0, 0, -2, 2, -1, -1, 2, -1, 1, 0, 0, 1, 1, -2, 1, -1, 6, 3, 0, -1, 3, 1, 0, 0, -1, 2, 1, -2, 2, -1, 3, -1, 2, -1, 1, -1, 0, 0, 3, 6, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, -1, 2, 0, 0, -1, 1, 0, -1, 0, 0, 1, 4, 1, 0, -1, 0, 0, 0, -1, 2, 0, 1, -2, 1, 0, 0, -1, 0, 2, -1, 0, -1, 0, 1, 4, 0, -2, 0, 1, 0, 1, -1, -1, 1, -1, 1, 0, 0, 1, 0, -1, 0, -1, 3, 2, 0, 0, 4, 0, 0, 0, 0, 1, -2, 0, 0, 2, -1, 0, 0, 1, 0, -2, 1, -1, 1, 0, -1, -2, 0, 4, 1, -1, 0, 0, -1, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, -1, -1, 1, 0, -1, -2, 1, 0, 0, -1, -1, 1, -2, 0, 0, 0, 0, 1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 1, 1, 0, 0, -2, -1, -1, -2, 1, -1, -2, 2, 1, -1, -1, -1, 0, 1, 4, 0, 0, 0, -1, 2, 1, 0, 0, 0, -2, 0, -1, -1, 0, -1, 0, -1, -2, 0, 1, 2, 0, 4, -2, -1, 0, 1, 0, -1, -2, -1, -1, -1, 0, 0, -2, 1, 1, -1, 1, -1, 1, -2, 0, -2, 4, 2, 0, -1, 1, -1, 2, 1, 0, 0, -1, 0, 1, -2, -2, 0, -1, 1, 0, -1, 0, -1, 2, 4, 0, -2, -1, 1, 1, -1, 0, 0, -2, 0, 2, -1, -1, 0, -2, -1, 0, 1, -1, 0, 0, 0, 4, -2, 0, 0, 0, 0, 1, 0, 1, 1, -2, 0, 1, 0, -1, 1, 0, 1, 2, 1, -1, -2, -2, 6, 2, -1, -1, 1, 0, 1, 0, -2, 0, 1, -1, 1, 1, 0, 2, 0, 1, 0, 1, -1, 0, 2, 4, -2, 1, 2, -1, 0, 0, -1, 0, -1, 0, 1, -1, 1, 0, 0, 0, -1, -1, 1, 0, -1, -2, 4, -1, -2, 0, 1, 0, 0, 0, 1, 0, 0, -1, -1, 0, -2, 0, -2, 2, 1, 0, -1, 1, -1, 4, 2, 0, 0, 0, 0, 2, -2, 0, 0, -1, 1, 0, -1, 0, -1, 1, -1, 0, 1, 2, -2, 2, 4, 0, 0, 0, 0, 1, -1, 0, 0, 1, 2, 0, -1, -2, -1, 0, 0, 1, 0, -1, 0, 0, 0, 4, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, -2, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 4, 0, 1, 1, -1, 0, 2, 1, 1, 1, 1, -1, 0, -1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 1, -2, 1, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 1, -2, -1, 0, 0, 0, 0, 1, 1, 4, 0, 0, 0, 0, 2, 0, -1, -2, 0, -2, 1, 2, -2, 0, 0, 0, 2, 1, 1, 1, -2, 0, 6, 0, 0, 1, 0, 0, 0, 2, -1, 1, -2, -1, 0, 1, -1, 1, -2, -1, 1, -1, 1, 0, 0, 4, 0, 0, 1, -1, 0, 1, 0, 1, -2, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 4, 0, 0, 0, -1, -2, 1, -1, -2, -1, 1, -1, -1, -1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 6, 1, 0, -1, 0, -1, 1, -1, 1, 0, 1, -1, 1, 2, 1, 1, 0, 0, 0, -1, 1, 0, 1, 4, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 0, -1, -2, 1, -2, 2, -2, 1, -2, -1, 1, -1, 1, -1, -2, 0, 0, -2, 4, 2, -1, 1, 0, 0, 1, -2, 1, -1, 2, 0, 2, 0, 0, 0, -1, 0, 2, 0, -1, -2, 2, 4, -1, 2, 1, 0, 2, 0, 0, -2, 2, -1, 2, 1, -1, 0, -1, 1, 2, 0, 0, 1, -1, -1, 4, 1, -1, 0, -1, 1, 0, -1, -1, 1, 0, -1, 2, 1, 2, -1, -1, -1, 1, -1, 1, 2, 1, 4, -1, 0, 1, 0, 0, -1, 1, 1, 1, -1, 1, 0, 1, -1, 1, 0, 0, 0, 0, 1, -1, -1, 4, 1, 1, -1, 1, 0, 0, -1, 0, 2, -2, 0, -2, 1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 4, 0, -1, 0, 0, 1, 1, 0, 0, 0, 2, -1, 1, 1, 1, 1, -2, 1, 2, -1, 1, 1, 0, 4, 0, 0, 0, 1, -1, 1, 2, -1, -1, -1, 0, 1, 0, 0, 1, -2, 0, 1, 0, -1, -1, 0, 4, -2, -1, -1, 0, 0, 0, 1, -1, 1, 0, -1, -1, 1, -2, 1, 0, 0, 0, 1, 0, 0, -2, 6, -2, 1, -1, 0, 1, 0, 0, -1, -1, 1, 1, 0, 2, -1, -2, -1, -1, 0, 0, 0, -1, -2, 6, -2, 1, -2, -1, 0, 0, 1, 0, -2, 0, 0, -2, 2, 2, -1, 1, 0, 1, 1, -1, 1, -2, 4, 0, 2, 1, 0, 0, -1, 0, 2, 1, 0, 1, 0, -1, 1, 1, -1, 1, -1, 0, -1, 1, 0, 4, -1, -1, 1, 1, 0, 0, 0, 1, 0, -2, 2, 2, 0, 1, 0, 0, 1, 0, 0, -2, 2, -1, 4, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 1, -1, -1, 2, 0, 2, 0, 1, -1, 1, -1, 0, 4, -1, -1, -2, 1, 1, 1, -1, 1, 0, -1, 2, 1, -2, 0, -1, 1, 0, 0, 0, 1, 0, -1, 4, -1, 2, -2, 0, 0, 1, -1, 0, 0, 1, 0, 0, 2, -1, -1, 0, 0, 0, 1, 0, -1, -1, 4, 0, 2, 0, 0, 1, 1, -1, -1, 2, 1, -2, -1, -1, 1, -1, 1, -1, 0, 0, -2, 2, 0, 4, -1, -1, -1, 1, -1, 0, 1, -1, -1, 1, 1, 0, 0, -1, 0, 0, 0, 0, 1, -2, 2, -1, 4, 0, 0, 0, -2, 2, 2, -1, 1, 0, 1, 1, -1, 1, -2, 2, 0, 1, 1, 0, 0, -1, 0, 4, 2, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, 1, 1, -1, 1, 0, 0, -1, 0, 2, 4, 0, 0, -1, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 0, 0, -2, 0, 0, 0, -1, 1, 2, 0, 0, -1, 1, 0, 0, 0, 1, 2, 4, -2, 1, -1, 0, 0, -2, -1, 0, 0, -1, 2, 0, -1, -1, 0, 1, 0, 0, 0, 1, -1, -2, 6, -3, 2, -1, 2, -1, 2, -2, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -2, 1, 2, 1, -3, 6, -1, 2, -1, -1, -1, 1, 1, 1, -1, 2, -1, 1, -2, 1, 1, -1, 1, 1, 0, -1, 2, -1, 4, -1, 2, 0, 2, -2, 1, 1, -1, -1, 0, 0, 0, 1, 1, 0, -2, 1, 0, 0, -1, 2, -1, 4, -2, 0, 0, 1, 1, 1, 0, 0, 0, 2, -2, -1, -1, -1, 1, 1, 0, 0, 2, -1, 2, -2, 4, 0, 0, -2, 1, 1, 0, 0, 0, -1, 1, 2, 2, -1, -2, 1, -2, -2, -1, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 1, 1, -1, 0, -1, 2, -1, 2, 0, 0, 0, 4, -2, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -2, 1, -2, 1, -2, 0, -2, 4, -2, 0, 0, 0, 0, 1, 0, -2, -2, 0, 2, -1, 0, 0, 1, 1, 1, 1, 1, 0, 1, -2, 4, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, 2, -1, -1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, -2, 0, -1, 0, 0, 1, 1, -1, -1, 0, 1, 2, -1, -1, -1, 0, 0, 0, -1, 0, 0, -2, 4, 0, 0, 0, 0, 0, -1, 0, 1, 0, 2, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, -1, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 4, -1, 0, -1, -1, 1, 0, 0, 0, -1, 1, 1, 0, 2, -1, 0, 0, 1, 1, 0, 0, 0, -1, 4, -1, -1, 0, -1, 1, 1, -1, 0, 1, -2, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, -1, 2, -1, 0, -2, 1, 1, 0, 0, -1, -1, 0, 4, 2, 0, -1, 1, 0, 0, 1, 1, 1, -1, 2, 0, 0, -2, 1, 1, -1, 1, -1, 0, 0, 2, 4, -1, -1, 1, 0, 0, -1, -1, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, 1, -1, 1, 0, -1, 4, 1, -1, 0, 0, -2, 1, -2, 1, -2, 1, -1, 2, -1, -1, 1, 1, 0, 1, 0, -1, -1, 1, 4, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 2, 0, 0, 0, 0, 1, 0, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 2, 1, 0, -2, 0, 2, 0, -1, -2, 0, -1, 2, -1, -1, 0, -1, 0, -2, 4, 2, -1, 1, -1, 1, 1, 2, -1, -2, 0, 2, 2, -1, 0, -2, -1, 2, 0, 1, 1, -2, 2, 4, 0, 2, -1, -1, 0, 2, -1, -1, -1, 0, 2, -1, 1, -1, 1, 0, 1, 1, 1, 1, -1, 0, 4, 0, -1, -1, 1, 0, 1, 1, -1, -2, -2, 1, 1, -1, 0, -1, 0, -2, 0, -1, 1, 2, 0, 4, 1, 1, 0, 1, 1, 1, -2, 0, 1, -2, -1, -2, -1, 0, 2, -1, 2, 2, -1, -1, -1, 1, 6, 3, -1, -1, 1, 2, 0, 0, -2, 0, -3, 2, -1, -1, 2, 1, 2, 1, 1, -1, -1, 1, 3, 6, -1, -1, 1, 0, 0, 0, 0, -1, -2, 0, -2, 1, 1, 1, 2, 0, 1, 0, 1, 0, -1, -1, 4, 0, 1, -1, -1, 1, 0, 0, -1, 0, -1, 1, -1, -2, 0, -2, 2, 2, 0, 1, -1, -1, 0, 4, 0, -1, -1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 0, -1, -1, 1, 1, 1, 1, 1, 0, 4, 1, -1, -1, -2, 0, -1, -1, -1, -1, 1, -2, 1, 2, -2, -1, 1, 1, 2, 0, -1, -1, 1, 4, -1, -1, -2, 0, -1, 0, 0, -2, 1, -1, 1, 0, 0, -1, -1, -2, 0, 0, -1, -1, -1, -1, 4, 1, 1, 0, 0, 1, 1, 0, 0, 2, -2, -1, 2, 0, -2, 0, 0, 0, 1, 0, -1, -1, 1, 4, 1, -1, -1, 0, -1, 2, 0, 1, 0, -2, 2, 2, -2, 1, -2, 0, 0, 0, -2, -2, 1, 1, 6, -1, 0, -1, 1, 1, 0, 2, -1, 0, -1, -1, 1, -2, 0, -1, 0, 0, 0, 0, 0, -1, -1, 4, 0, 0, 1, -1, -1, 0, 0, -1, 0, 1, 1, -1, -3, -2, -1, 1, -1, -1, 0, -1, 0, 0, 4, -1, 1, 0, -1, 0, -1, 2, -2, -1, -1, -2, 2, 0, 0, -2, -1, 0, 1, 0, -1, 0, -1, 6, 1, -1, -1, 2, -1, -1, -1, 1, 0, -1, -1, -2, -1, 0, -1, 0, 1, -1, 1, 1, 1, 1, 4, -1, 0, 2, -1, -1, 2, 0, -1, 0, -1, 1, 1, 0, -1, -2, 0, 2, 1, -1, 0, -1, -1, 4, -1, 0, 0, 0, 0, 1, 0, 2, 2, 1, -1, 0, 1, 1, 0, 0, 0, -1, -1, -1, 0, -1, 4, 1, 1, -1, 1, 1, -2, -1, 1, 1, -2, 0, -2, -1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 6, -1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, -2, 0, -1, 0, -1, -1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 0, -1, -2, 0, -1, -1, 1, -2, 2, -2, -1, 2, -1, 0, 1, 1, 0, -2, 1, 4, -1, 1, 1, 1, -1, 1, -1, 1, 0, 0, 2, -1, -1, -1, -2, -1, 2, 2, 0, -2, 0, -1, 4, -2, -2, 0, -1, 0, 2, 1, 1, -1, -1, -1, 1, 1, 1, 0, -1, -1, -1, 2, -2, 1, -2, 6, 0, 2, 2, 1, -1, -1, 0, 0, -1, 0, -1, -1, -1, -1, 0, 1, 1, 1, 0, 1, -2, 0, 4, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -2, -1, -1, 1, 1, 0, -2, -1, 1, 0, 2, 1, 4, -1, 0, -1, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, -2, -1, -1, 2, -1, -1, 6, -1, 1, -1, 0, 2, -3, 1, 1, 0, 0, 2, -2, 0, 2, 2, 0, 1, 0, 1, -1, 0, -1, 4, 1, -1, 1, 0, 1, 0, -1, -1, -1, -1, 0, 1, -1, 1, -1, -1, 2, -1, -1, -1, 1, 1, 4, 0, 0, 1, -2, 1, 0, 0, 1, 0, -1, -1, 0, 2, -1, 1, 1, -1, 1, 1, -1, -1, 0, 4, 0, 1, 0, 1, 1, -2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 0, 1, 0, 0, 4, -2, 0, -1, -1, 1, -1, 1, -2, 1, 1, 2, -2, 0, -1, 0, 1, -1, 2, 0, 1, 1, -2, 4, -1, 2, 1, -2, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, 1, 0, -3, 1, -2, 0, 0, -1, 4, -1, -1, 0, -1, -1, 2, 1, -1, -3, -2, -1, -1, 0, 1, 0, 1, 0, 1, 1, -1, 2, -1, 4, 1, -2, 1, 0, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 0, 1, -1, 1, -1, 1, 4, -1, 0, 1, -1, -1, 0, 1, 2, -1, 1, -1, -2, 0, 0, -1, 0, -2, 1, -2, 0, -2, -1, 6, 1, 0, 0, -1, 1, 0, -1, -2, 1, -1, -1, 0, 0, -1, 1, 0, -1, 0, -1, 1, 0, 1, 4, 0, 0, -2, 0, 1, 0, -1, 0, -1, -1, -1, 2, -1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 4, -1, 0, 1, 0, 1, 2, -1, 0, 1, 0, -2, 0, -1, 0, -2, 0, 2, -1, -1, 0, 0, -1, 4, 0, -1, -3, 1, 2, -1, 1, 1, 0, 0, 1, -1, 0, 1, 0, 1, -1, -1, -1, -2, 0, 0, 4, 1, -1, 0, 0, -1, 1, 0, 0, 2, -1, 0, 0, 1, 0, -1, 1, 0, 1, 0, 1, -1, 1, 4, 0, -2, -2, 2, 1, -2, 1, 2, 1, 2, 0, 2, 0, -3, 1, 1, 0, 1, 0, -3, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -2, 0, -1, 1, 1, -1, 1, 0, -1, -2, 1, -2, 2, -1, 2, -1, 0, -2, 0, -1, 4, 1, 0, 0, -1, 1, -1, -1, -2, -1, 2, 2, -2, 2, -1, 0, 0, 1, 0, 0, -1, 0, 1, 4, 1, 0, 0, 2, 1, -2, 1, 0, 2, 1, 1, 2, 0, -1, -1, 0, 0, -1, 1, -2, 0, 1, 4, 0, 2, 0, 1, 1, -1, 0, 1, 2, 1, 1, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, 1, 0, 0, 2, 0, -1, 1, -1, 0, -1, 2, 1, 2, -2, -2, -1, -1, 0, 2, 1, 6, -2, -1, 1, 1, 0, 1, 2, -1, -2, -2, 1, 1, -2, 0, 0, -1, 1, 1, 2, 0, -1, -2, 6, -1, -2, 0, -2, 0, 1, -1, 0, 2, 1, -2, 1, -2, -2, 1, 1, -1, 1, 1, 1, -1, -1, 6, 1, 0, 1, 1, -3, 3, 0, 1, -2, 0, -1, 1, -2, 0, -1, -1, -2, 1, 0, 1, -2, 1, 4, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 1, -1, 1, -2, 1, -1, 0, 1, 0, 0, 0, 4, 0, 0, -1, 1, -1, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, 4, 0, -2, 2, 1, -1, -2, 1, 1, 2, -1, -1, -1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 4, 1, 0, 2, -1, 0, -1, 0, 0, 0, 0, -2, 2, 1, 2, -1, 2, 1, -3, 0, -1, -2, 1, 6, -2, 1, -2, 2, -1, 0, -1, 2, 0, 1, -2, 1, 1, 1, -1, -1, 3, 1, 1, 2, 0, -2, 6, 1, 0, -2, 1, 1, 2, -1, 1, -2, 2, 2, 1, -1, -2, 0, 0, 0, -1, 1, 2, 1, 1, 6, -2, -1, -2, 2, 0, 2, 1, 2, -1, 0, -2, 0, -2, 2, 1, -1, 1, -1, -1, -2, 0, -2, 4, 0, 0, 0, -1, -1, 1, -1, 0, -1, 0, -1, 1, 1, -2, 1, 0, -2, 0, 2, -2, -1, 0, 4, -1, 0, -2, 1, 0, 2, 0, -1, -1, 2, 1, -2, 0, -1, -1, 1, -1, -1, 1, -2, 0, -1, 6, 0, 2, -1, -1, -1, 1, 0, 0, 1, -2, 1, -1, 0, -1, 1, 0, 0, 1, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 1, 0, 0, 2, 0, -1, 2, 0, -1, -2, 2, 0, 4, 0, -1, -2, 0, -1, 0, -2, 0, -2, -2, 1, 0, -1, 0, 2, -1, 2, -1, 1, -1, 0, 0, 6, 1, 0, -1, 1, 0, -2, -1, 1, 0, -1, 1, -1, 0, 0, 1, 1, 1, 0, -1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, -1, -1, -2, -1, 1, 1, -1, 0, 0, -1, 1, 2, -2, 0, -2, -1, -1, 0, -2, 4, -2, 1, 1, 1, 1, 0, 1, -2, 1, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 1, 2, -2, 4, -1, 0, -1, -2, -1, -1, 1, -1, 0, -1, -1, 1, 2, -1, 0, -2, -1, -1, -1, 1, 1, -1, 4, 1, 0, 1, -1, 2, -1, 0, -1, 1, -1, 0, 1, 0, 1, -1, -1, 0, 0, -1, 1, 0, 1, 4, -1, 2, -1, 0, 0, 1, -1, 0, 0, -1, -1, 1, 1, -1, 0, 1, 1, -1, 1, -1, 0, -1, 4, -1, 1, 0, -1, -1, -1, 1, 1, -1, 1, -1, 1, 2, 1, 1, -1, -2, 1, -2, 1, 2, -1, 6, -1, 1, 0, 0, -1, 1, -1, 0, -3, 2, 1, 0, -1, 0, 1, -1, 0, -1, -1, -1, 1, -1, 4, -2, 1, -1, 0, 1, 1, -1, 1, 1, -2, 1, 1, 1, 0, 1, 1, -1, 2, 0, 0, 1, -2, 4, -1, 1, 0, 1, -1, 0, 0, -1, 2, 0, -1, 0, 0, 1, -2, 1, -1, 0, -1, 0, 1, -1, 4, 0, -1, 1, 0, -1, 1, 0, 0, -1, 0, 1, 0, -1, 1, -1, 0, 1, -1, 0, -1, 1, 0, 4, 0, -1, 0, -1, -1, 1, 1, 0, 0, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, -1, 0, 4, -1, 1, 0, 0, -1, -1, 1, 1, 0, 1, 0, 0, -1, 1, 0, 1, 1, 1, 1, 1, -1, -1, 4, 1, -1, 1, -1, 1, 0, 1, 1, -1, -1, 0, -1, -1, 0, 1, -1, 1, -1, 0, 0, 1, 1, 4, -2, 0, -1, 0, 1, 2, 1, 0, 1, 0, 1, 0, -1, -1, 0, -1, 0, -1, -1, 0, -1, -2, 4, -1, 0, -1, -1, -1, -2, 0, 2, -2, 2, 1, -1, 1, -3, 1, 0, 1, -1, 0, 1, 0, -1, 6, -1, 0, -1, 0, 1, -1, -2, 1, -1, 0, 1, -1, 2, 1, -1, 0, 1, -1, -1, -1, 0, -1, 4, -1, 0, -1, 0, 1, 0, 1, 0, 1, 1, 1, 1, -2, 2, 0, 1, -1, 1, 0, -1, 0, -1, 4, 0, 0, 1, 0, -2, 1, -2, -1, -1, 2, 0, 1, 0, -1, 0, 1, 0, 1, -1, -1, 0, 0, 4, 1, 1, 0, -1, 0, -1, -1, 0, 1, -1, 1, -1, 0, 0, 1, 1, 2, -1, 0, -1, 0, 1, 4, 2, 0, -1, 0, -1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, -2, 1, 0, 1, 1, 2, 4, 0, 0, 1, -1, 0, 1, -1, 1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 2, 1, -1, 0, 1, 1, 1, 0, -1, 1, 1, 1, -1, 0, 0, -1, 1, 4, -1, 0, 2, 1, 1, 1, -1, 1, 1, 0, -1, 1, 1, 0, 2, -1, 0, -1, -1, 1, -1, -1, 4, -1, 0, 0, 0, -1, 1, 1, -1, 1, 0, 1, 0, 1, 0, 0, 2, -1, -1, 0, -1, 0, -1, 4, 0, 0, 1, 1, -1, -1, 1, -1, 0, 0, 1, -2, 0, 0, -1, -1, -1, 0, 1, 2, 0, 0, 4, 2, 1, 0, 0, 2, 0, -1, -1, 2, 0, 0, 0, -1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 4, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 4, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 1, -1, 0, -1, -1, 1, 1, -1, 1, 0, 0, 0, 4, 0, 0, 1, 0, 0, -1, 1, -1, 1, 0, -1, -1, 0, 0, -1, -1, 1, -1, 0, 0, -1, 0, 4, 2, -1, 0, 1, -1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 1, 1, -1, 2, 1, 0, 0, 2, 4, -1, 0, -1, 1, 0, -1, 0, 0, 1, 0, 1, -1, 1, 1, -1, 1, 0, 0, 0, 1, -1, -1, 4, 0, 0, 1, 1, 1, 2, 1, 0, -2, 0, 0, 1, 0, 1, -1, -1, 1, 1, 0, 0, 0, 0, 4, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 1, 0, 1, -1, 0, 0, 4, -1, -2, 0, 0, 2, -2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, -1, -1, 1, 1, -1, -1, 4, 1, 1, 0, 0, 2, -1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 1, -2, 1, 4, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, -2, 0, 0, 0, -1, -1, -1, 1, 1, 0, 1, 0, 4, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 4, 0, 0, -2, -1, 1, 1, -1, 0, 0, -1, 1, 1, 0, 1, 0, 1, 0, 2, 0, -1, 0, 0, 4, -1, 0, 1, -1, -1, 0, 2, -1, 1, -1, -1, -1, 0, 1, 0, 0, -2, 2, 1, 1, 0, -1, 4, -1, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, 0, 0, -2, 0, 0, -1, -1, 0, -2, 0, -1, 4, 2, 0, 0, -1, -1, -1, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 2, 4, -1, -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 2, -1, -2, 1, -1, -1, -1, 0, -1, -1, 1, -2, 1, 0, -1, 1, 1, -2, -2, 2, 4, 2, 2, 1, -1, 0, -1, 1, -2, -1, 0, -1, 2, 0, 0, -1, 0, 2, 2, -2, -1, 1, 2, 4, 0, -1, -2, -1, 0, 2, -1, -1, 1, 0, 0, -1, -1, 0, 1, 1, 0, -2, 1, 2, 2, 0, 4, 1, 0, 0, 0, -1, -1, -1, -1, 0, 2, 0, 1, -1, 0, 2, 2, 0, -2, -1, 1, -1, 1, 6, 3, 1, -2, 0, -2, -2, -1, -1, 2, 3, -1, -2, 1, 1, 2, 2, 0, -2, -1, -2, 0, 3, 6, 0, 0, 0, -1, 1, 0, -1, 1, 1, -1, -2, 1, -1, 1, 3, 0, 1, 0, -1, 0, 1, 0, 4, 0, -2, 1, 1, -1, -2, 0, 1, -1, 0, -2, 0, 0, 0, -1, -1, -1, 0, 0, -2, 0, 0, 4, 0, 1, 1, 1, 1, -1, -1, -1, 0, 0, -1, -1, 0, 0, -1, 1, 2, -1, 0, 0, -2, 0, 4, -1, 0, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0, 2, -1, -2, -1, -1, -2, -1, 1, 1, -1, 4, 1, 0, 0, -2, 1, 0, 2, -1, 0, -2, 1, 1, 0, -1, -1, -1, -2, 1, 1, 1, 0, 1, 4, 0, -1, -1, -2, 0, 1, -1, -2, -1, 0, 0, -1, 0, 1, -1, -1, 0, -1, 1, 2, 0, 0, 4, 1, 0, 0, 0, -1, 0, 0, 0, -1, 1, -1, -1, 0, 0, -1, -1, -2, 1, 0, 0, -1, 1, 4, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 2, 0, 2, 2, 1, 0, -1, 0, -2, -1, 0, -1, 4, 1, 1, -1, 0, 1, 2, 0, -1, -2, 0, -1, 0, 3, 1, 1, -1, -1, 1, -2, 0, 0, 1, 6, 0, -1, -1, 2, 1, 2, 1, 1, 0, -1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 4, 0, -1, 1, 1, 1, 0, 0, -1, 0, -1, -2, -2, 0, 0, 0, 2, 1, -1, 0, -1, -1, 0, 4, 0, -1, -2, 0, 1, -1, 0, 1, 0, 1, 1, -2, 0, 2, -1, -1, 0, 1, 0, -1, -1, 0, 4, 0, 0, 1, 1, 1, 2, 1, 2, 1, -1, 0, -1, 0, 0, -2, 0, 0, 1, 2, 1, -1, 0, 4, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, -1, 0, -2, -1, 0, -1, 2, 1, 1, -2, 0, 1, 4, 1, -1, -2, -2, -2, 0, 2, 3, 0, 0, 0, 1, 0, -1, -1, 0, 2, 1, 0, 1, 0, 1, 6, 1, -2, -1, 1, -2, 0, 0, -1, 0, 2, 1, 0, 1, 0, -1, 1, 0, 1, 1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, 0, 0, 2, 1, 0, 0, 1, -2, 1, -1, -2, 2, 2, 1, 1, 2, 1, -2, 4, 1, -1, 1, 1, 1, 0, -1, 1, 0, -1, 2, 1, -1, 2, -2, -2, -1, -2, -2, -1, 0, 1, 4, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, -1, -2, 2, 0, -1, -1, 1, -1, 1, 0, -1, 1, 4, 2, 1, 0, 1, -1, 0, 1, 1, 1, -1, 1, -1, -1, -1, -1, 2, -1, 2, -1, 1, 2, 2, 4, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, -1, -2, -2, 1, -1, 0, 0, 1, 1, 1, 0, 4, 2, 1, -1, 2, 1, 0, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 4, 2, -1, 0, -1, 1, -1, 0, -1, 0, 0, 0, -1, -1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 6, 1, 1, -1, 0, 1, 0, -2, -1, 0, 0, -1, 1, -1, 2, 1, -1, 1, -1, 0, -1, -1, 1, 4, 0, 0, 0, -1, 0, -1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 4, 0, 0, 2, 1, -2, -1, 0, 0, 1, 0, -2, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, 4, -1, -1, 0, 0, 0, -1, 0, 0, 2, 0, 1, 1, -1, 1, 1, 1, 0, 1, 0, 0, 0, -1, 4, -1, 0, -1, -1, 1, 1, 0, 0, 1, 0, -2, 2, 1, 1, 1, 0, -1, 1, -1, 2, -1, -1, 6, -1, 0, 1, -2, -2, -1, -1, -4, 0, 1, 1, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, -1, 4, -1, -2, 0, 0, 1, 0, 1, -1, -1, -1, -2, 1, -1, -1, -1, -2, -1, -2, 0, -1, 0, -1, 6, 1, 0, -1, 1, 0, 0, 0, -2, 2, 2, -1, 1, -1, 0, -1, 1, -1, 0, -1, 1, -2, 1, 6, 0, -2, -1, -1, -1, 0, 2, -2, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, -2, 0, 0, 0, 4, 2, 1, 1, 2, 0, 2, -2, -1, -1, -2, 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, -2, 2, 4, 1, 1, 2, 0, 1, -1, -1, -1, -2, 0, -1, -1, 1, 1, 0, 0, -1, 1, 1, -1, 1, 1, 4, -1, 1, 0, 1, -2, 1, 2, 1, 1, -1, 1, 1, 0, 2, 0, -1, 0, 0, -1, 1, 1, -1, 6, 1, 1, 2, -2, -1, -1, -1, 0, 1, -1, 1, -2, 0, 1, -4, 1, 0, -1, 2, 2, 1, 1, 6, 0, 1, -1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, -1, 0, 1, 0, -2, 1, 4, 2, 1, 2, 0, -1, 0, -1, -1, 1, 0, 1, 1, 1, 1, 1, -2, 0, 2, -1, -1, 2, 2, 4, 2, 2, 0, 1, 1, -1, -1, 1, 1, 1, 1, 1, 2, 0, -2, 1, 2, -1, -2, 1, 1, 2, 4, 1, 0, 2, 2, 1, 1, 2, -1, -1, 2, -1, 1, 0, -1, -1, 1, -2, -1, 2, 2, 2, 1, 4, 0, 1, 1, -1, -1, 1, 1, 1, 2, 0, 2, 0, -2, 1, 2, -1, -2, 0, 0, 0, 0, 0, 4, 1, -2, 1, -1, 0, 1, -2, 1, -1, -1, 1, 0, 1, 0, 2, 0, 1, -1, 1, 2, 1, 1, 6, 2, 2, 1, 0, 0, -2, 0, -2, 0, 1, 1, -1, 1, -2, -2, 1, 0, 1, 2, 1, -2, 2, 6, 2, 1, 2, -2, 0, -1, 0, 2, -2, -1, 0, 1, -2, -1, 1, -1, -1, 1, -1, 1, 2, 2, 6, 1, 0, -1, -2, 1, -1, -1, -1, 2, -1, -1, 1, 0, 0, -1, -1, 1, -1, -1, 1, 1, 1, 4, 1, -1, 0, -1, -2, 0, 1, 1, -2, -1, -2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 4, -2, 0, 0, 0, 2, 0, -2, 0, 0, -2, -1, 2, 0, 1, -1, 1, 1, 0, -2, -1, -1, -2, 4, 1, 1, 0, 0, 0, 0, 1, 1, 2, -1, 1, 1, 1, -1, 1, -2, -2, 0, -2, 0, 0, 1, 4, -1, 2, 2, 0, -1, 1, 0, 0, -1, 2, 1, 1, 2, 2, 1, 0, -1, 1, -1, 0, 1, -1, 6, -1, 0, 0, -1, 0, 1, 1, 0, 0, 1, 1, -1, 0, -1, -2, 0, -1, -2, 0, 0, 2, -1, 4, 1, -1, -1, 1, 0, 1, 0, 1, 1, 2, 1, 2, -1, 0, 2, -1, 0, 2, 0, 2, 0, 1, 4, 0, -2, 1, 1, -1, -1, 0, 1, 0, 0, 0, 1, 1, -2, -1, 1, 0, 0, 0, 0, -1, 0, 4, 0, -1, 0, -1, 0, -1, -2, -2, -1, -2, 0, 1, -1, 2, 1, -2, 0, -1, -1, -1, -2, 0, 4, -1, -1, 1, 1, 0, 0, 1, -1, 1, 1, -1, 0, -1, -2, 0, 1, 1, 0, 1, 1, -1, -1, 4, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, -1, -1, 0, 1, 0, 1, 0, 1, 0, -1, 0, 4, 0, -1, 0, -1, -1, -2, -1, 2, -2, -2, 1, -2, -2, 2, 0, 1, 1, -1, -1, 1, 2, 0, 6, 1, -2, -1, -2, -1, -2, 0, -2, -1, 0, 0, -1, -1, -1, 0, 0, -1, 0, 1, 0, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, -1, -1, 1, 2, -2, 1, 0, -1, -1, 0, -1, -1, -1, 0, 1, 0, 0, 0, 4, -1, 1, 0, -1, 2, 1, -1, 1, 1, 1, 0, 1, 1, -1, 1, 1, 0, -1, 1, -2, 1, -1, 4, 0, -1, -1, 0, 0, 2, 0, 1, 1, 1, 0, -1, 0, -1, 0, 1, 0, -1, -1, -2, 1, 0, 4, 0, 0, 0, 1, -2, 2, -1, 0, 0, 0, 0, 1, 1, 0, -1, 0, -1, -2, 0, 0, -1, 0, 4, 2, -2, 1, -2, 0, 0, 0, -2, -1, -1, -1, -1, 0, 0, 0, -1, 2, -1, -1, -1, 0, 2, 4, -2, -1, -2, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, 1, 0, 2, -1, 2, 0, 0, -2, -2, 6, -1, 0, 1, 2, 0, 0, 3, 2, 0, 0, 2, 0, -2, 1, -3, 1, 1, 0, 1, 1, -1, -1, 4, -1, 0, -1, 0, -1, 0, 0, -1, -1, -1, 1, 1, 0, -1, 2, -1, 2, -2, -2, -2, 0, -1, 6, -2, 1, 2, 2, -1, 1, 1, -1, 0, 0, 0, 1, 1, -2, 1, 0, 2, 0, 0, 1, 0, -2, 4, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, 1, 1, 1, -1, 0, 0, 2, -1, 1, 0, 4, 1, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 2, -1, 1, 4, 1, 0, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 1, 0, -2, 0, 0, -1, 2, 0, 0, 1, 4, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 1, 0, 0, -1, -1, 3, 0, -1, 0, 1, 0, 0, 4, 1, 0, 0, 1, 1, -1, 1, -2, 0, 1, -1, 0, -1, -1, 2, 0, 1, -1, 0, 1, 0, 1, 4, 0, 0, 0, -1, -1, 1, -1, -1, -1, 0, 1, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 4, 1, 0, -1, 0, 0, 1, -1, 1, -1, 1, -1, 0, 0, -1, -1, 0, 0, 1, 1, 0, 0, 1, 4, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 2, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 4, 1, -2, 0, -1, 0, 0, 1, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 1, -1, -1, -1, 1, 4, -1, 0, 0, 1, -1, 0, 0, 0, 1, -2, 1, 0, -1, 0, -1, 0, -1, -1, 0, 0, -2, -1, 4, 1, 1, 0, 1, -1, -1, -1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 4, 0, 0, -2, -1, -2, 2, 2, -3, -1, 1, -1, 0, 0, 0, -2, -1, 1, 0, -1, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 2, -1, 0, 1, -1, 1, 0, -1, -1, -2, 0, 2, 4, -1, -2, -1, -2, 0, 1, -1, 0, 0, 2, 0, 1, 0, 0, 0, 0, -2, 1, -1, 1, 0, -1, 4, 2, 0, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, 1, -1, 1, -1, -1, -1, 1, -1, -2, 2, 6, -1, 1, -1, 0, 0, 1, 2, -3, -2, 0, -2, 2, -1, -1, 1, 1, 2, 0, 0, -1, 0, -1, 4, 2, -1, -2, 1, 1, 0, 1, 1, -1, 2, -1, 2, 1, 2, 0, 1, 0, -1, -2, 0, 1, 2, 6, -1, 0, 3, 2, 0, -2, 1, -1, 0, 0, 1, 0, 4, -1, 1, -2, 0, 0, 0, -1, -1, -1, 4, -1, 1, 0, -1, 1, 1, -1, 1, -1, -2, -1, -1, -2, -2, 0, 0, 1, 0, 0, -2, 0, -1, 4, 0, -1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1, -1, 0, 1, 3, 1, 0, 4, 1, 0, 0, 1, -1, 1, -1, 0, 0, 3, -1, 0, -1, 0, 0, -1, 1, 1, 2, 0, -1, 1, 4, 1, 0, 1, -1, 0, 0, 1, -2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, 1, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -3, 1, -2, 1, 0, 0, 0, 0, 6, 2, -2, 2, -1, 0, 1, -2, -1, -2, 2, -1, 0, -1, -2, 1, 1, 1, 0, 1, 1, 0, 2, 4, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, -1, 0, -1, -1, 0, -2, -1, 4, -1, 0, 1, 0, -1, 2, 0, -1, 1, 0, 0, -2, 2, 0, 1, -1, 1, 0, 0, 2, 1, -1, 4, -2, 0, 1, 1, -1, -2, 0, -1, 0, 1, 2, -1, 0, -1, 0, -1, 0, 2, -1, -1, 0, -2, 4, 0, 0, -1, 0, 1, 1, 1, 0, -1, -1, 2, 1, -2, -1, 0, 1, 0, 0, 0, 1, 0, 0, 4, 0, 1, 1, 1, 0, 0, 0, 1, -1, 1, 0, -1, 1, 0, -2, 0, 1, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, -1, -2, -1, 1, 2, 4, -1, 0, 3, 2, 0, -2, 0, -1, 1, -1, 1, 0, 6, 0, 2, -1, -1, 1, -1, 1, 0, -1, -2, 1, -1, 1, 0, -1, 0, 2, -1, 0, 1, 0, 0, 6, 3, 1, -2, -1, -1, 2, 1, 1, -2, 0, 0, 1, 0, -2, -1, 0, -2, 1, 1, 0, 2, 3, 6, 0, 0, 1, 1, 0, 0, -2, 0, 0, -1, 0, 0, 2, 0, -1, 0, 1, 0, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, 1, -1, 2, 1, 1, -1, 0, 0, 2, -1, 0, 1, -1, 1, -1, 0, 1, 1, -2, 4, -1, 1, -1, 0, -2, -1, 0, 0, 0, 1, -2, 0, 0, -1, -1, -1, -1, 1, -1, 0, 0, -1, 4, 1, -1, 1, 0, 0, 1, 2, -1, 0, 0, 1, 1, -1, -1, -1, 2, -1, 0, 0, -1, 1, 1, 4, -1, 0, -1, -2, 1, 1, -1, -1, -1, 1, -1, -2, -2, -2, 1, 0, -1, 1, 1, -1, -1, -1, 4, -2, 2, 1, -1, -2, 2, -1, 2, 0, -1, 0, -1, 1, -1, 0, 0, -1, -1, 0, 1, 0, -2, 4, -1, 1, -1, 2, 0, 1, -1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, -2, 0, -1, 2, -1, 4, 2, 1, -2, 0, 0, 2, 0, -1, 1, 0, 2, 0, 0, 1, 0, 1, -1, 0, -2, 1, 1, 2, 4, -1, -1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, -1, -1, 1, -1, 4, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 2, 1, -2, 2, -2, -1, 0, 4, -1, 0, -1, 0, 1, -1, 0, -1, 2, 0, -1, 0, 0, 0, -1, -1, 2, 0, 0, 0, -1, -1, 4, 1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, -1, 1, 0, 0, 1, 0, 1, 4, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 2, -2, 0, -1, 2, -1, 2, 1, 0, -1, 1, -1, 4, -1, -1, 0, -1, 1, -1, -1, 0, 1, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, -1, 4, -1, 0, -1, -1, 1, 1, 1, -1, 0, 0, 1, -1, -1, 1, -1, 1, 0, 1, -1, 1, -1, -1, 4, 1, 0, 0, 1, 0, 0, -1, 1, -1, -1, -2, 0, 1, 1, 2, 0, -1, 1, 1, 0, 0, 1, 4, 1, 1, 0, 1, 2, 0, -1, -1, -1, -2, -1, 1, 0, 0, -1, 0, 0, 1, -1, -1, 0, 1, 6, 1, 1, 0, 0, 0, 1, -1, -1, -2, 1, 0, 2, 1, 0, -1, 0, 1, 1, -1, 0, 1, 1, 4, 0, 1, 1, 0, -1, -1, 2, 1, -1, 2, 0, 0, 0, 2, -1, 0, -1, 1, 1, 0, 1, 0, 4, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 4, 1, 0, 1, -1, 0, -1, 0, 1, 1, 2, -1, -1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 4, 0, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 0, -1, 1, -1, -2, 1, -1, 1, -1, 2, 1, 2, -1, 2, 2, 2, -1, -1, 1, 4, -2, 2, 1, 0, 1, -1, -1, -1, 0, 1, 1, 1, 1, 2, -1, 0, 2, 1, 1, 0, -2, -2, 4, -1, 0, 0, -1, 2, 1, 1, 0, 0, 0, -1, 0, -1, 0, -2, -2, 0, -1, 0, 2, 2, -1, 6, -1, 0, 2, 1, -3, -1, -1, 1, -2, 3, -1, 3, -1, 0, 2, 2, -2, 1, 0, 1, 0, -1, 4, -1, 0, 0, 1, -1, 0, 1, 2, 0, 2, 1, -1, -1, 0, 1, 2, -1, -1, 0, 0, 0, -1, 4, -1, 0, -1, 0, 2, -2, 0, 0, 0, 1, -1, 1, 0, -2, 1, 2, 1, 1, -1, 2, 0, -1, 4, 1, -1, -1, -1, 2, 0, 2, 0, 1, 1, -1, 1, 2, -2, 0, -1, -1, 2, 1, 0, 0, 1, 4, -1, -1, 0, 0, 0, 1, 0, 1, 0, -1, -1, 0, -2, 0, -2, -1, 1, -3, 1, -1, -1, -1, 4, 0, 0, 0, 1, -2, 0, -2, 1, -2, -2, 0, 2, -1, 1, -1, 1, -1, -1, 0, -1, -1, 0, 4, -1, 0, -1, 0, 1, 0, -1, 0, 0, 1, -1, -1, -1, 0, 0, -1, 0, 2, -1, 0, 0, -1, 4, -1, 1, -1, 0, -1, 1, 2, -1, -3, 2, 2, 1, 1, 0, 1, 1, -2, 2, 0, 0, 0, -1, 4, 0, 1, 0, 0, 1, -2, 1, 3, -1, -1, -1, 1, 0, -2, 2, 0, 0, 0, 1, -1, 1, 0, 4, -1, 1, 0, 0, -1, -1, -1, 2, 0, 2, 1, -1, 3, 0, 0, 2, 1, -2, 0, -1, 1, -1, 4, 0, 3, -1, 0, 1, 2, -1, 0, 1, 1, 0, -1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 4, 1, -2, 0, 1, 1, 0, -1, 2, 2, -1, 3, 1, 1, 1, 1, -2, 0, -1, 0, 0, 3, 1, 6, -2, 0, 1, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, 0, 1, -1, 1, 1, 0, -1, -2, -2, 4, 0, -1, -1, 0, 1, 2, 0, -2, 0, -1, 1, -1, -1, -2, 0, 2, -2, -1, 0, 0, 0, 0, 6, 1, -2, 1, 1, 2, 2, -2, 2, 0, 0, 1, -1, -2, 0, -1, 1, -1, 1, 1, 1, -1, 1, 4, 1, -1, 0, 2, 1, 0, 2, 1, -2, 2, 0, 0, 1, -3, 3, -1, 2, 1, 2, -1, -2, 1, 6, -1, -2, -1, 1, -1, -2, 2, 1, -2, -2, 2, -1, 2, -1, 2, -1, 0, 0, 0, 1, -1, -1, 6, 0, -1, 0, 0, 1, -1, 2, 0, 0, -1, -1, 2, -1, 0, 0, -1, 0, 1, 1, 0, -2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -2, 1, 2, 2, 0, -1, 1, 1, 1, -1, 2, 2, -1, 2, 1, 1, 1, 0, 1, 4, 0, 1, -2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, -1, 0, 1, 0, 1, -1, 0, 4, -1, 2, -2, -1, -2, -1, 1, -2, 1, 0, 0, -1, -1, 1, 0, -1, -2, -1, 1, -1, 1, -1, 6, -1, 0, 0, 1, 2, 0, -1, -1, 2, 0, -2, -2, 0, -1, 2, -1, -2, 2, -2, -2, 2, -1, 6, 0, 0, -2, 0, 1, 0, 1, 0, 0, 0, -1, -1, -1, 0, -3, 0, 0, 1, 0, -2, 0, 0, 4, 2, 1, 0, 0, 2, -1, -1, -1, 1, 0, -1, -1, 0, 0, 0, 0, 2, 0, -1, 0, 0, 2, 4, 2, 0, 0, 1, 1, 1, -2, 2, 0, -2, 1, 0, 0, 0, 0, 2, 2, -2, 1, -2, 1, 2, 6, 0, 0, 1, -1, 1, -1, 2, 1, -2, 1, 1, 1, 1, 0, 0, 1, -1, 2, 0, 0, 0, 0, 4, 1, 0, 0, 1, 0, 0, 0, 1, -1, 1, -1, 1, 0, -1, 1, 1, 0, 1, 0, 0, 0, 1, 4, -1, -1, -1, 1, 1, 0, 0, -2, -1, -1, 0, -1, 1, 0, -2, -1, 0, 2, 1, 1, 0, -1, 4, 1, 0, -1, 1, 1, -1, 0, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, -1, 0, -1, 1, 4, 2, -1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 1, 0, 2, 0, -1, 1, 1, 1, -1, 0, 2, 4, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, 1, 0, 0, 0, -1, -2, -1, 0, 1, -1, -1, 0, 4, 0, 0, 1, -1, 0, 1, 0, -1, 2, 0, -1, -2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 4, 2, -2, 1, 0, 0, 2, -2, 2, 0, -1, -2, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 4, 0, 1, 0, 1, 2, -1, -1, 1, 1, 0, -1, -1, -2, -2, 1, 0, -1, 0, 0, 1, -2, 0, 4, -1, -1, 0, 0, 1, 2, -1, 0, -1, -1, -1, 1, 1, -1, -2, 0, 1, 1, -1, 1, 1, -1, 4, 1, 1, 1, 0, 1, 0, -1, 2, 0, 0, 0, 1, 1, -1, 1, 0, 1, 0, 0, 0, -1, 1, 4, -1, 0, 1, 1, 1, -2, -1, -3, 0, 0, 1, -1, -1, 0, -1, -1, 1, 0, 1, 0, 1, -1, 6, 1, -1, 1, 0, -1, -2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 4, -2, 0, 1, 1, 2, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, -2, -1, 1, 0, 1, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 2, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 0, -1, 1, 1, -1, 0, 2, 4, 1, 1, 1, 1, 2, -1, -1, 1, -2, -2, 2, -2, -2, 1, -1, 1, -1, 1, -1, 0, 2, 1, 4, 2, 2, -1, 1, -1, 0, 2, -2, 0, 0, 0, 1, -1, -1, -1, 2, 2, 1, -1, 2, 1, 2, 4, 0, 0, 0, -1, 1, 0, 0, 0, 1, 1, -1, 0, -1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 4, -1, 2, 0, -1, 2, -1, -1, -1, 0, 1, 0, 0, -1, 0, 2, 0, 0, -1, 1, -1, 0, -1, 4, 1, -1, -2, -1, 1, -1, 1, 1, 0, 1, -1, 2, -2, -1, -1, 1, 1, 2, 1, 0, 2, 1, 4, 0, -2, 1, -2, -2, 1, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, -1, -1, -1, 0, -1, 0, 4, 1, 0, 1, 0, 0, 0, -1, 1, 2, -1, 1, 0, -1, -1, 1, -1, 0, 1, -1, -2, -2, 1, 4, -1, 1, 1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 0, 1, 1, 2, 0, 2, -1, 1, 0, -1, 4, -1, 0, -1, -1, 1, -1, -1, -1, 0, 2, 0, -1, -1, -2, -2, 0, -1, 1, -2, 1, 1, -1, 6, 2, -2, 3, 1, 1, 1, -1, -2, -1, -1, 2, -1, -2, 0, 0, -1, -1, -2, 0, 1, 0, 2, 4, -1, 1, 2, 0, 1, -1, 0, 0, 0, 1, 1, 2, 0, 1, -1, 1, 1, 0, 0, -1, -2, -1, 4, -1, -2, 1, 0, 2, 1, -1, -1, 0, -1, -2, 0, 1, 0, 1, 0, 0, 0, -1, 3, 1, -1, 6, 0, -1, 1, 1, 1, -1, 1, 2, -1, -2, 1, -1, 1, 0, -1, -1, -1, 1, 1, 2, -2, 0, 6, -1, -1, -2, -1, 1, 1, 0, 1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 1, 0, 1, -1, -1, 4, 0, 0, -1, 0, -2, 1, 0, -1, -1, -1, 0, -1, 0, 2, 1, -1, 1, 1, 0, 1, -1, 0, 4, 0, 1, 0, -1, 0, -1, 1, -1, 0, -1, 2, 1, -1, -1, -1, -1, -1, 2, 1, -2, 0, 0, 4, 0, -1, 0, 1, 1, -1, 2, 2, 0, -2, 0, 1, 1, 0, -2, 0, 1, 1, -1, -1, 1, 0, 6, 0, 1, -1, 1, 1, 2, 0, 2, -1, 1, 0, -1, 2, -1, 0, -1, -1, 1, 0, 0, -1, 0, 4, 1, -1, -1, -1, 1, 0, 0, -1, 0, -1, 0, 0, -1, 0, -1, 1, 1, -2, -1, 0, 1, 1, 4, -1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, 2, 1, 0, 2, 0, 1, 0, 1, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, 1, 1, 0, 1, 0, -1, 1, -1, 1, -1, -2, 2, 1, -2, 0, 0, -2, 4, -2, 2, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, -1, 1, 1, -2, -1, 2, 1, 1, 2, -2, 4, -2, 0, -1, 0, 2, -1, 0, 0, 0, 1, 1, 0, -2, -1, 2, 0, -1, -1, 1, -2, 2, -2, 4, 0, 2, -1, 0, 1, 0, -1, 1, -1, 0, -1, 2, 2, -2, -1, 1, 0, 0, 1, -1, 0, 0, 4, 0, 1, 0, 1, -1, 0, 0, 0, -2, 0, 0, 1, 0, 1, -1, 1, -1, -1, 1, -1, 2, 0, 4, 1, 0, 2, 0, 1, -1, 1, 0, 1, 1, 1, -1, -2, -1, 0, 0, 1, 0, 0, -1, 1, 1, 4, -1, 2, 1, 2, -2, 0, -1, 2, 0, -1, 0, 1, 0, 1, 1, 1, -1, 2, 0, 0, 0, -1, 4, -1, 0, -1, 0, 1, 0, -1, -1, -1, 2, 0, -2, -2, 0, 0, 1, -1, 1, 1, 2, 2, -1, 4, 1, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, 1, 0, 1, 4, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1, 2, -1, 0, 0, 4, -1, 0, -1, 2, 1, 0, -1, -1, 0, 0, 1, -1, -1, 0, 1, 0, -1, -2, 0, -1, -1, -1, 4, -1, 1, -1, 0, 1, 0, 0, 1, 0, 0, 1, -1, 1, -1, 0, 1, 0, 1, 1, -1, 0, -1, 4, 0, 0, -1, -1, 1, -1, -2, 0, 0, -1, 0, 1, 0, -2, 0, -1, 0, 0, 0, -1, 1, 0, 4, 0, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, -1, 0, 1, 2, -1, 0, 0, 2, -1, 0, 0, 4, 0, -1, 0, 0, 0, 0, 1, -1, 1, -2, 2, 0, 1, 0, -1, 0, -1, 1, 0, -1, -1, 0, 4, 1, -2, 0, 1, 0, 0, -2, 1, -1, 2, 1, 1, -1, -1, 0, -1, 0, 1, -1, 0, -1, 1, 4, -2, -1, 1, 0, -1, 2, -2, 2, -2, 0, -1, 0, 2, -1, 0, -1, 0, 1, 0, 0, -2, -2, 4, 1, -1, 0, 0, 1, -1, 0, -1, 1, -2, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 1, 4, 0, 0, 0, -2, 2, -1, 1, -1, -1, 0, -2, -1, -1, 0, 1, -2, 1, 0, 1, 1, -1, 0, 6, 2, 2, 0, 1, -1, 0, 1, 0, 1, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 4, 0, 0, 1, 1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 1, 1, 0, 0, 0, -2, 2, 2, 1, 0, 2, 1, 1, 1, -1, 0, -1, -2, -1, 4, -1, 0, 0, -2, 0, 1, 1, 2, -2, 0, 0, 0, -1, 1, -1, -2, 1, 1, 2, 2, 0, -1, 4, 0, 0, 0, -1, -2, 1, -1, 2, 1, 1, 1, 2, -1, 0, -1, -1, -2, 1, -2, 2, 0, 0, 4, 2, -1, 1, 0, -1, 0, 2, 2, 2, 1, 1, 1, 0, -1, -1, 0, 1, -2, 1, 0, 0, 2, 4, 1, 2, 0, 1, 0, 1, 1, 1, -1, 2, 2, 0, 1, -2, 0, -1, -1, 1, -2, 0, -1, 1, 4, 1, -1, 1, -2, 0, 0, -1, -2, 2, 0, 1, 2, -1, 0, -2, -1, 0, 0, -1, 1, 2, 1, 4, -1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, -1, 1, 0, 1, -2, 0, 0, -1, -1, 4, -1, 2, -1, -1, -1, -1, -2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, -1, 1, 1, 0, -1, 4, -1, 0, 1, -1, -1, 1, 0, -1, 1, 0, 0, -1, 1, -2, 2, -1, 0, 0, -2, 0, 2, -1, 4, -1, -1, 0, 0, -2, 1, -1, -2, 1, 1, 2, 1, 2, -2, 2, 2, 1, 0, 1, -1, 0, -1, 6, 2, 1, 2, 2, -1, 0, 0, 0, -2, 0, -3, 2, 0, 1, 2, 1, 0, 1, -1, 1, -1, 2, 4, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 1, 0, 1, 2, 1, -1, 1, -1, -1, 0, 1, 1, 4, 1, 2, 1, 0, -1, -1, -1, 1, -1, 0, 0, 1, 1, -1, -2, 0, -1, -1, 0, 2, 1, 1, 4, -1, -1, 0, -2, 1, -2, 2, 0, 2, -1, 2, 1, 2, 2, 1, -2, 1, -2, 2, 1, 2, -1, 6, 1, 0, 0, -1, -1, 0, -2, 1, 1, -1, 1, 2, 0, 1, 1, 0, 1, -1, 0, 1, -1, 1, 4, 0, 0, -1, 1, 0, 1, 1, -1, 0, 0, 0, 1, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 4, 2, -1, 0, -1, 0, 1, -2, -1, -1, 1, 2, 1, 0, 1, -2, 0, 0, -1, -2, 0, 0, 2, 6, -1, 1, -4, 1, -1, 1, -1, -1, -2, -1, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, -1, -1, 4, 0, 1, 2, 0, 1, -2, 0, 0, 0, 0, 2, 0, 1, -2, 0, -1, -2, -1, 1, 0, 1, 0, 4, 0, 1, -1, 2, 1, 1, -1, -2, -1, 0, -1, 2, 0, 0, 1, 2, 0, 0, -1, -4, 1, 0, 6, -1, -2, 2, -2, -2, -1, -1, 1, 0, 1, 1, -3, -1, -1, 0, -2, 1, 0, 1, 2, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -2, 1, 0, 0, 0, 1, -1, 1, 1, -1, 1, 0, -2, 1, -2, 0, 2, 1, 1, 2, 4, 0, 0, 0, -1, 0, -1, 0, -2, 1, 0, 0, 1, -1, -1, 0, 0, -1, 0, 1, 1, 2, 0, 4, -2, 1, 1, 1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0, -1, 1, 1, 1, 0, -2, 0, -2, 4, 0, -1, 1, -1, -1, -1, -1, 0, 0, 0, -1, 1, -1, 1, -1, -1, -1, 0, 1, 0, 1, 0, 4, -1, 2, 1, 1, -1, 0, 2, -2, 0, 1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, 4, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, -1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 4, 1, -1, -1, 1, 1, -1, -1, -1, 0, 0, 1, 0, -1, 1, 1, 0, -1, 0, -1, 1, 0, 1, 4, -1, 1, 1, 1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 1, 1, -1, -1, 4, 0, -1, 1, -2, 1, 2, -1, 1, -1, 2, 1, 1, 0, -1, -2, 0, -1, -1, 0, -1, 1, 0, 4, -1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 0, 1, 1, -1, -1, 4, 0, 0, -1, -1, -1, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 4, -2, -1, 1, -2, 2, 0, -1, 0, 0, 0, -1, 0, -1, 0, -2, 0, -1, 1, -2, 1, 0, -2, 4, 0, -1, 1, -1, 0, -1, 0, 0, 1, 1, 1, 0, 0, 0, 1, -1, -1, 1, -2, -1, -1, 0, 4, 1, 1, 0, -1, 1, 1, 1, 0, 0, -1, -1, -1, 1, 0, -1, 1, 2, 0, -1, 1, -1, 1, 4, 0, 1, 0, 1, 0, 0, -1, -2, -1, 0, 1, -1, 1, 0, 0, -1, 0, -1, -2, 1, 1, 0, 4, -1, 1, 1, -1, 0, 0, 1, 0, 0, -1, 1, 1, 0, 0, 1, 0, 0, 2, -1, 0, 1, -1, 4, -1, 0, 1, 1, 1, -2, 0, -1, 1, 0, -1, 1, 0, -1, 0, -1, 0, 0, -1, 0, 1, -1, 4, 0, -2, 0, -1, 0, -1, 1, -1, 0, 2, 0, -1, 2, 0, -1, -1, -1, 1, 1, 1, 0, 0, 4, 0, 1, 0, 2, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, -2, 0, 4, 1, 1, 1, 1, 1, -1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 4, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 1, -1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 0, 0, 1, 2, 0, -1, 0, -1, 2, 2, 0, 0, -1, -1, 1, 1, -1, -1, 6, -3, 1, 2, -1, 2, -1, 1, 1, -1, 2, 2, -1, -2, 2, -1, -2, 2, 2, -1, 3, 2, -3, 6, -2, -1, 2, -1, 2, 1, -2, -1, -1, -1, 2, 1, -1, -1, 1, -1, -1, 2, 0, 0, 1, -2, 4, 0, -2, 1, -1, 0, 0, 1, 1, -1, 1, 1, 2, -1, -1, 1, 1, -1, 1, 0, 2, -1, 0, 4, -1, 2, -1, 0, -1, 0, 2, 1, 0, -2, 0, 0, -1, 0, 1, -1, 2, 0, -1, 2, -2, -1, 4, -2, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, -1, 1, 2, -2, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, 2, -1, -1, 0, 0, 4, 0, 1, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 4, 1, 0, -1, 1, 0, 1, 1, 0, -1, 0, 1, 0, 0, 0, 1, -2, 0, -1, 0, 0, 1, 1, 4, 0, -1, 1, -1, 1, 1, 1, -1, 0, 1, -1, 0, -1, -1, -1, 1, 0, 0, 0, -1, 0, 0, 4, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 2, -1, 1, 2, -1, 2, 0, -1, -1, -1, 4, 0, 0, -1, 1, 0, -1, 1, 1, 0, 2, -1, 2, -1, -1, 1, -1, 2, 0, 1, 1, 0, 0, 4, -2, -1, -1, 1, 0, 0, 0, 0, 1, 2, -1, 2, 1, 0, 0, 0, 1, 0, -1, 0, 0, -2, 4, 1, 0, -2, 0, -1, 0, 1, 1, 2, -2, 1, 1, -2, 0, 0, 1, 1, 1, 0, -1, -1, 1, 4, 0, 0, 0, 0, 0, 1, -2, 0, 2, -1, 2, 0, 0, 0, 0, 1, 1, 0, 1, -1, 0, 0, 4, -1, -2, 2, 2, -1, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, -2, 0, -1, 4, 0, 0, 0, 0, -2, -1, -2, 1, -1, -1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, -2, 0, 4, -1, -2, 1, -1, -1, 2, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 2, 0, -1, 4, 1, 0, 1, 1, 2, -1, 1, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 2, 0, -2, 1, 4, 0, 1, 1, -1, 2, -1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 1, 1, -1, 0, 1, 0, 0, 4, -1, -1, 3, 0, 1, 2, -1, 2, 1, 0, 0, 0, 2, 1, 1, -2, 2, -2, -1, 1, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -1, 0, -1, 1, -2, -1, 1, -1, 0, 0, -2, -1, 2, 1, 2, -1, -2, 0, 0, 4, -1, -1, 2, 0, 2, -1, 1, 1, 1, 2, -2, -2, -1, 1, 0, 1, -2, -1, 0, 1, 1, -1, 4, 0, -1, 1, 0, 0, 0, 1, 1, 0, -1, 0, 1, 1, -1, 0, 0, 0, 1, 0, 2, -1, 0, 4, -2, 0, -1, 0, -2, -2, 0, -1, 1, 0, -1, 0, 1, 1, 3, -1, -1, -1, -1, 2, -1, -2, 6, -2, 2, 1, 1, 1, 1, 2, -2, -2, 1, 0, 1, 1, -1, -1, 2, 0, 0, 0, 1, 0, -2, 4, 1, -2, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 0, 1, -1, -1, 2, 0, -1, 2, 1, 4, -2, 1, 0, 1, 2, -1, -2, 0, 2, -1, 1, -2, -1, 1, -1, 1, -1, 0, 0, 1, -2, -2, 4, 0, 0, 1, 0, 0, 0, 0, -1, 2, -1, 2, 1, 0, 0, -2, 1, 0, -2, 1, 0, 1, 0, 4, 2, 0, 2, -1, -1, 2, 1, -2, 0, -2, 0, 1, 0, -1, 1, 1, -2, 1, 0, 0, 0, 2, 4, 0, 1, -1, 0, 1, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, 0, 1, -1, 1, 1, 0, 0, 4, 0, 0, -1, -2, 0, 1, 1, -1, -1, -1, 0, -1, 2, 0, -1, 2, 0, 2, 0, 2, 1, 0, 4, -2, -2, 1, 2, -1, 0, -1, 0, 2, 0, 0, -2, -1, 1, -2, 0, -1, 0, -1, -1, 0, -2, 4, 2, -1, -1, 0, 0, 1, 0, -1, 0, 0, -2, 0, 0, -2, 0, -2, 0, -1, 0, -1, -2, 2, 4, -1, -1, 0, -1, 0, 1, 0, 0, -2, -1, 1, -1, 1, 1, 0, 0, 2, 1, -2, 1, -1, -1, 6, 1, -2, -1, 0, 0, 3, 0, -1, 1, 1, 0, 0, 1, 2, -1, 1, 0, 0, 2, -1, -1, 1, 4, -1, 0, -1, 0, 2, 0, 2, 0, -1, 1, 1, -1, -1, 2, -2, -1, 1, -1, 0, 0, -2, -1, 4, 0, 2, 0, -1, 0, 1, 1, 0, 1, 1, 0, 1, -1, 0, -1, 1, 0, 0, -1, -1, 0, 0, 4, 0, -2, 0, 0, 2, -2, 0, 3, -1, 0, -2, 2, -2, -1, -1, -1, 1, 0, 0, -1, 2, 0, 6, 0, 0, -1, -1, -1, 0, -1, -1, 0, -1, 1, 0, 1, -1, 0, 0, 1, 0, 0, 0, -2, 0, 4, 1, 0, -2, 0, 1, -1, 2, 1, 1, 0, 1, 1, -1, 2, -1, 0, 3, 2, -1, 0, 0, 1, 6, -1, 0, 1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 1, 2, -1, -2, -1, 2, 2, 0, 0, 1, 1, 0, -2, 2, 0, 1, -1, 0, -1, 4, 0, 0, 0, 0, 2, 0, 1, -1, 0, 1, -1, -2, 1, 0, -1, -1, 1, -1, 1, 0, -2, 0, 4, -2, -1, 0, -1, 2, -1, -1, -2, -1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, -2, 4, 2, 1, -1, -2, 1, 2, 2, 0, -1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, -1, 2, 4, 2, -2, -1, 2, 1, 1, 0, 1, -1, 0, 0, -2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 6, -2, -1, -1, 2, 0, 1, 1, -2, 2, 0, 0, 2, 0, 1, 1, 2, -1, 2, -1, -1, -2, -2, 6, -1, 0, -1, -1, 1, -2, -2, 0, -2, -1, 0, 2, -3, 1, 0, -2, 0, 2, -2, -1, -1, -1, 4, -1, -1, -1, -1, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1, -1, 1, -1, 1, 2, -1, 0, -1, 4, -1, 0, 1, 0, 0, -1, 0, -1, -2, 0, -1, 0, -1, 2, -1, -1, 2, 1, 2, -1, -1, -1, 4, 1, -1, 0, 0, 1, -1, -1, 2, -1, 1, 1, 1, 2, 0, -2, 2, 1, 0, -1, -1, 0, 1, 4, -1, -1, 1, 1, 0, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 1, -1, -1, 4, -1, 0, -1, 1, -1, 0, 0, -1, 1, -1, 0, -1, 1, -1, 1, 1, -2, 0, 0, 0, -1, -1, 4, 0, 0, 0, 1, 0, -1, 1, -1, 1, 1, -2, 0, 1, -1, -2, -2, 0, 0, 0, 1, 0, 0, 6, -2, 1, 0, -1, -1, 0, -2, -1, 1, 1, 0, 0, 0, 2, 0, 0, -1, 1, 1, -1, 0, -2, 4, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, -2, 0, 0, -1, 0, 1, 0, 1, 0, 4, 1, 0, -1, 1, 0, 0, -2, -1, 2, -1, -2, 0, -1, 1, -1, -1, -1, -1, 1, 0, 0, 1, 6, -1, -1, -1, 0, 2, 2, -1, 0, 0, 0, 2, 0, -1, -2, 2, 0, 0, 0, -1, 1, 0, -1, 4, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, -1, -1, 0, -1, -1, 0, -1, -1, 0, 4, -2, 0, 0, 1, -1, 1, -1, 1, 1, -3, 1, -1, 1, 1, -1, 1, 0, 0, 1, -1, 2, -2, 6, 0, 0, -1, 1, 0, 0, 0, 1, 1, 0, 0, 1, -1, 1, -1, -2, 1, 0, 0, 1, 0, 0, 4, 0, 0, 0, 1, 0, 0, 2, 0, -1, -1, 1, 0, -1, 1, -1, 1, 0, 2, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, -2, 1, -2, 2, 0, -1, -1, 1, 1, -1, 1, 0, -1, 2, -1, -1, -1, 2, 2, 4, 1, 0, -2, 2, -2, 1, 1, -1, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 1, 1, 2, 1, 4, 2, 0, -1, 0, 1, -1, 0, -1, 1, 0, 0, 1, -1, 0, 2, -1, 0, 0, 1, 2, 0, 2, 4, 0, 0, -1, 2, -1, -1, 0, 0, -1, 0, 0, -1, 0, 2, -2, 0, -2, 2, -2, -2, 0, 0, 4, -1, 1, -1, 0, 1, 0, 0, -1, 0, -1, -1, 2, -1, 0, 0, 1, -1, 1, 2, -1, 0, -1, 4, -2, 0, 2, 0, 0, 0, 0, -1, 0, 0, -2, 0, 1, -1, 1, 1, -2, -2, 0, -1, 1, -2, 4, -2, -1, 0, 0, -1, -1, 0, 1, -1, 1, -1, 0, 0, 0, -1, 2, 1, 1, 2, -1, 0, -2, 4, -1, 0, 1, 1, 0, 1, 0, 0, 0, 1, -1, 1, -2, 1, 0, 1, -1, -1, 0, 2, -1, -1, 4, -1, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 2, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 4, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 4, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 2, 0, 4, 0, 0, 1, -1, 0, 1, 1, 0, -1, -1, 1, 1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 4, 0, 1, 2, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 4, 0, 1, 1, 0, -1, 2, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 0, 1, 1, 0, 4, 0, -1, 0, 1, 0, 0, 1, 0, 1, -1, -1, -1, 0, -1, 0, 1, 0, 0, -1, 2, 1, 0, 4, -1, -1, 0, 1, 1, 1, -1, -2, 0, 0, 2, -2, 1, 0, 0, 0, 0, 0, -1, 1, -1, -1, 4, 0, -1, 0, 0, -1, 2, 0, 2, 2, -1, 0, -1, 1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 4, -1, 0, -1, 1, -1, 0, -1, -2, 0, 1, 0, -1, 0, 1, 1, 1, 0, -1, 1, 0, -1, -1, 4, -1, 2, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, -1, 4, 0, 0, -1, 1, 0, -2, 1, 1, 0, -2, 2, 0, 0, -1, 0, -1, 0, 1, 0, -1, 2, 0, 6, -1, 2, 1, 1, 2, -1, 1, -1, 1, 0, -1, -1, -1, 1, 0, 1, 1, -1, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 0, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -2, -1, -2, -2, -2, 0, 4, 0, -1, 0, 0, 1, 1, 1, 1, 0, 1, -1, -1, 1, 1, -1, 0, 1, 0, 1, 1, 1, 0, 4, 2, -1, -2, 1, 1, -2, 0, -2, 1, -2, 0, 1, 1, 0, 1, -1, -2, -2, 1, 2, -1, 2, 6, -2, 0, 1, -1, -1, 0, 0, 1, 1, -1, -2, 1, 1, -2, -1, 0, 0, 0, 0, 0, -1, -2, 4, -1, -2, 0, 1, -1, -1, -2, 1, 0, 0, 0, 0, -1, -1, 1, 1, 0, -1, 0, -2, 0, -1, 4, 0, 0, 0, 1, 2, 1, 1, 1, -1, 0, -1, -1, 0, 2, 2, 0, -1, 1, 1, 1, -2, 0, 4, -1, -1, 2, 1, 2, -1, -1, 1, 2, -1, 1, 0, 0, 0, 1, 1, 1, 1, -1, 0, 0, -1, 4, -1, 0, -1, 1, -2, 0, 1, 0, -1, 0, 0, -1, -1, 0, -1, 1, -2, -1, 1, 0, -1, -1, 4, -1, 0, -1, 1, -1, 0, 0, 0, -1, 2, 2, 1, 0, -1, 1, 0, 0, -1, 1, 2, 0, -1, 4, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, -1, 0, -2, 0, -1, 2, 1, -1, 0, 1, 4, 0, 1, 1, -1, 0, -1, -1, 0, 2, 2, 0, -1, 1, 1, 1, -2, 1, 2, 1, -1, 2, 0, 4, -1, -1, 1, 2, -1, 1, 0, 0, 0, 1, -1, -1, -2, 1, 1, 1, -1, -2, 1, 1, 1, -1, 6, 1, -2, -1, 1, -2, 1, 3, 2, 0, -1, -1, 0, -1, 0, 1, -1, 0, -1, 0, 1, -1, 1, 4, 0, -1, -1, 1, 0, 0, 1, 0, -1, 1, 1, -2, 0, -1, 1, 1, 0, 1, -1, 1, -2, 0, 4, 1, -1, 1, 0, -1, -1, 1, -1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, -1, -1, 1, 4, -1, 0, -1, 1, 1, 2, 2, -1, 0, 1, 0, -1, -1, -1, 0, 0, -1, -1, 1, -1, -1, -1, 4, -1, 0, -1, -2, -1, -2, 0, 1, -2, -1, -1, 1, 0, -1, 0, -1, 1, -2, 1, 1, 0, -1, 6, 1, -2, 0, 1, -1, 1, -1, -1, -1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, -1, 0, 1, 4, 0, 0, 0, -2, 0, -2, 0, 1, 2, 0, -1, 2, 1, 2, 0, 3, 0, -1, 1, -1, -2, 0, 6, 3, 1, -2, 1, -2, 0, 1, 2, 0, -1, 1, 0, 2, 0, 2, 1, -1, 1, -2, 0, 0, 3, 6, 1, -2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, -1, 1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 0, 2, 1, -2, 1, -1, 0, 0, 0, -1, -1, 0, -2, 1, -1, 1, 0, -1, 1, -1, 4, -1, 1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 2, 1, 1, 1, -1, 0, -1, 1, -2, 1, -1, 4, -1, -1, 0, 0, 0, 1, -1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, -2, 0, 0, 1, -1, 4, 2, -1, 0, 0, -1, 2, 0, -1, -2, 0, 0, -2, 1, -2, -1, -2, -1, 1, 2, 0, -1, 2, 6, 1, -1, 2, -1, 3, -2, 1, -1, 1, -1, -3, 0, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, 4, -1, 2, -1, 0, -1, 1, 1, 1, -1, -1, -1, -1, -1, 0, -1, 0, -2, 0, 0, 0, -1, -1, 4, -2, 2, 0, 1, 1, 0, 1, 1, 1, -1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, -2, 4, -1, 0, -2, 1, 0, 1, -2, -2, -1, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 2, -1, 4, -1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, -2, 0, 0, -1, 2, 3, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 1, 0, 0, 1, 0, -2, -1, 1, -2, 0, 0, 4, 0, 0, -1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, -1, 1, 1, 1, 1, 1, 0, 0, 4, 0, 2, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, 1, -2, -1, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 1, 1, 2, 0, 0, -1, 2, 0, 0, 1, 1, 1, 1, 2, 0, -1, 2, 0, 4, 0, 1, 0, 0, 0, 0, 0, -2, 0, 1, 1, 0, -1, -1, 1, -2, 2, 0, 1, 0, 0, 0, 4, 2, 1, 0, 1, -1, 0, -1, -2, 1, 1, -2, -3, -1, 1, -2, 2, -1, 2, 0, 2, 1, 2, 6, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 0, -1, -1, -1, 0, 0, 0, -1, 0, 0, 1, 1, 4, -1, 1, 0, -1, 0, -1, -1, 0, -2, -1, -1, 2, -1, 1, -1, 0, 1, 1, 0, 0, 1, -1, 4, 1, 2, 2, 0, 1, 0, 2, -1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 4, 1, 0, 0, 0, -1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, -1, 1, 0, 2, 1, 4, 1, 0, -1, 1, -2, -1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1, 2, 0, 1, 6, -1, 1, -2, 0, 1, 1, 0, 0, 0, -2, 1, 1, -1, 0, -2, -1, -1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, 0, 1, -1, -2, 1, -1, -1, 1, -1, -2, -2, -1, 0, -1, 1, 2, -1, 2, 1, 4, 0, 2, -1, 2, -1, 0, 1, 1, -2, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, -1, 1, 0, 4, 0, 0, 2, -1, -2, 1, 1, 0, 0, 1, -1, 0, 0, -1, -2, -1, 2, 0, -1, 1, 2, 0, 4, 1, 1, -2, -1, 2, -1, 0, 2, 1, 0, -1, 0, -1, -1, 0, -1, -1, -1, 0, -1, 0, 1, 4, -2, 1, 1, 2, -1, 1, 2, 2, 0, -2, -2, 0, 0, 0, 0, -1, 0, 1, 2, 2, 1, -2, 6, -3, -3, -1, 1, -1, 0, -1, -1, 0, 1, 0, -1, -1, 0, 1, -2, -1, -1, -1, -2, 1, -3, 6, 4, -1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, -1, 1, 0, -2, 0, -2, -1, 1, -3, 4, 8, -2, 0, 1, -1, 0, 3, 1, 0, 0, 3, 2, -2, 1, -2, 1, 1, 1, 2, 2, -1, -1, -2, 6, -1, -1, 2, 2, 0, -1, -2, 0, -3, 0, 0, 0, 1, -1, 1, 1, -1, -1, 1, 1, 0, -1, 4, -1, -1, 0, 0, 2, 2, 0, -1, -1, -1, 2, -2, -1, -2, 0, 0, 1, -1, 1, 1, -1, -1, 4, 1, 1, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, 1, 0, 2, 2, 0, 0, -1, 2, -1, 1, 4, 2, -1, -2, -1, 0, -1, 0, -1, -1, 1, -1, 0, 1, 1, 2, -1, 1, 0, 2, 0, 1, 2, 4, 1, 0, 0, 0, -1, -1, -1, 0, -1, -2, 0, -1, 0, 0, -1, 2, 3, 0, 0, 0, -1, 1, 4, 2, 0, 1, 1, 1, -2, 1, -2, -2, 0, 0, -1, -2, 0, 1, 1, -1, 2, 0, -2, 0, 2, 4, 2, 0, 0, 0, -2, 2, -2, -1, 1, 0, 0, -2, 1, 0, 0, -2, 2, 0, -1, 0, 0, 2, 4, 0, 0, -1, -1, 1, -1, 0, -1, -1, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 1, -1, 1, 1, -1, -1, -2, -1, 0, -1, 1, 3, -3, -1, 1, -1, -1, 1, 0, 0, 0, 4, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 2, 2, 0, -1, 1, 0, -1, 1, 0, -1, 1, 1, 4, -1, 0, 1, 2, -1, 2, -1, 0, 0, -1, -2, 0, -1, -1, -1, -1, -2, -2, -1, -1, 0, -1, 6, -1, 2, -1, 1, 0, -1, -1, 1, 1, 1, 0, 2, -1, -1, 0, 1, 2, 1, 1, 0, 0, -1, 4, -2, 2, -1, -1, -1, 0, -2, 0, -2, 1, -2, 0, 1, -1, -2, -2, -1, 1, 0, 1, 2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -1, 2, 2, 1, -1, 0, -1, -2, 1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 1, 1, -1, 4, 2, 1, -2, -2, 2, 1, -1, -1, 0, 1, 1, 1, 1, -1, -1, 1, -2, -1, -2, 1, -1, 2, 4, 0, -2, -1, 2, 0, 1, 1, 1, 2, 0, 1, 0, -2, -1, 1, -1, 0, -2, 0, 2, 1, 0, 4, 1, -1, 0, 0, -2, -2, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 1, 1, 2, -2, -2, 1, 4, 0, -2, -1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, 2, 1, 1, 1, 1, -2, -1, -1, 0, 4, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 1, 1, 0, -1, 2, 0, -1, 2, 2, 0, -2, 0, 4, 1, 1, -1, 0, 1, 1, 1, -1, -1, -1, 2, -2, -1, -1, 1, 0, 1, 0, 0, -1, 1, 1, 4, 1, -1, -1, 1, 1, 0, 0, 0, -1, 1, -2, -2, 1, 1, -1, -1, 1, -2, 0, 1, 1, 1, 6, 0, 0, 0, -2, 1, -1, 1, 1, 1, 0, 1, 1, 1, -2, -1, 1, -2, 0, 0, -1, -1, 0, 6, -1, 1, -1, -1, -1, -2, 2, -1, 1, 0, -2, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 4, -1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 2, 0, -1, -1, 1, 1, 0, 1, -1, 4, 1, -1, -1, -2, -1, 0, -1, -1, -2, -1, 1, 1, 0, 2, 0, 0, 1, 1, -2, -1, 0, 1, 4, -1, 1, -1, -1, 0, 0, -1, 0, 1, 1, 1, 1, 0, -1, 0, 1, 0, 1, -1, 1, -1, -1, 4, 0, 1, 0, 2, -1, 0, 0, 1, 1, 1, 0, 2, 0, -1, -1, 0, -1, -1, 0, -1, 1, 0, 4, 0, -1, -1, 1, 1, 0, 1, 1, -1, -2, 0, 1, 0, -1, 0, 1, -2, 0, -2, -1, 1, 0, 4, 1, 0, 0, 1, 2, 1, -1, -1, -1, -2, 0, 1, -1, -1, 1, 2, 0, -1, -1, 0, -1, 1, 4, 0, 1, 0, 0, 0, 1, 1, 1, 0, -1, 1, 2, 1, 1, -1, 1, 0, 0, 2, -1, 0, 0, 4, -1, -1, 0, 1, 1, -2, -1, 0, 2, 0, -2, -2, 0, 1, 1, -1, 0, -1, 1, 0, 1, -1, 4, 1, 0, 0, 0, -1, 0, 0, 1, -1, -1, -2, 1, 0, 0, -1, -1, 0, 1, 1, 0, -1, 1, 4, 1, 0, 1, -2, -2, 1, 1, 2, -1, 1, 1, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 1, 6, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, -1, 0, -1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 2, 2, 1, 1, -1, 1, -1, 0, -2, 2, 4, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, -1, 1, 0, 0, 0, -1, -1, 2, 0, 4, -1, 0, -1, 0, 0, -1, 1, 0, -1, 1, 2, 0, 1, -1, 0, 1, 0, 0, -2, 1, 2, -1, 4, -1, 2, 1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, -1, 0, 1, 0, 0, -1, 4, 1, -2, -1, -1, -1, -1, -1, -1, 0, 0, -1, 2, -2, 0, -1, 0, -1, 1, 1, -1, 2, 1, 4, -1, 0, 1, -1, -1, 0, 0, -1, 1, -1, 1, 0, -1, -1, 0, -1, -1, 0, 0, 1, -2, -1, 4, -1, 1, 1, 0, 0, 1, 1, -1, 1, -1, 2, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, 2, -1, 0, -2, -1, 0, -2, 0, -1, 2, -1, 0, 0, 0, -1, 1, -1, 1, 1, 0, 4, -1, -1, 0, 0, -1, 2, 0, 0, 2, -1, -1, 0, 0, 0, 1, 1, 0, -1, -1, 1, 0, -1, 4, 0, -1, 1, 2, -1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 2, -1, 0, 4, -1, 0, -2, -1, 0, -2, 0, -1, 2, -1, 1, 0, 0, -1, 1, -1, 0, 0, -1, 0, -1, -1, 4, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 1, 0, 0, 1, 0, 0, 4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, -1, 1, -2, -1, 2, -2, 0, 0, 6, 0, 1, 1, 0, 1, -1, 1, -1, 2, 1, 0, 0, 0, 1, -1, -1, 2, -1, -1, 0, 1, 0, 6, 0, 1, -1, 2, -1, 1, 0, 1, -1, 1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 1, 1, 1, 1, -1, 0, 2, 1, -1, -2, 0, 0, -2, 1, 0, 1, 1, 0, 4, -1, 1, -2, 1, 0, -1, 0, 0, 1, -2, 0, 2, 0, 2, 1, 0, 0, 0, 0, -1, 0, -1, 4, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, -1, -1, -1, 1, -1, 1, 1, 1, 2, 0, 1, -1, 4, -1, 1, 0, -1, 0, 0, 0, -1, -1, 0, 2, -1, 0, 2, -1, 0, -1, -1, 0, -2, 0, -1, 4, 0, 1, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, -1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 4, 0, -2, -1, -2, 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 2, 0, 0, 1, -1, 0, -2, -1, 1, -2, 1, -1, 1, 0, -2, 0, 0, 2, 6, 1, 1, 0, 3, 1, 2, -2, -2, 0, 0, 2, 3, -3, -2, 0, 2, 2, 0, -1, -1, -1, 1, 6, -3, 1, 0, -1, 1, -2, 0, -1, 2, -1, 1, 2, -2, -1, 2, 1, -1, 2, 2, 2, 1, -3, 6, -2, 0, 2, 1, 1, 0, 2, -1, 2, 1, -1, 1, 2, -1, 1, -1, -1, -1, 0, 0, 1, -2, 4, 2, -2, -1, -1, 1, -2, 0, -2, 0, 1, 0, -1, 0, -1, -1, 1, 0, 2, 3, 0, 0, 2, 6, -1, 1, -2, 0, -1, 0, 0, 1, -3, 0, 0, 2, 0, -1, 0, -1, 0, 1, -1, 2, -2, -1, 4, 2, -1, 0, 2, 0, 1, 0, 0, -1, 0, -1, 0, 0, -2, 0, 0, 2, 1, 1, -1, 1, 2, 4, -2, 0, 1, 0, 2, 0, 0, -2, 0, 1, 0, 0, -1, 0, 1, -2, -2, 1, -1, -2, -1, -2, 6, 1, -1, -1, -2, 0, -1, 2, 1, -2, 0, 1, 0, -1, -1, -2, 0, 0, 1, 0, 0, 0, 1, 4, -1, 0, -2, -1, 2, 1, 1, -2, -1, -1, 1, -1, 0, 0, -1, 2, -2, -1, 2, 1, -1, -1, 4, 1, 2, -1, 0, 0, 0, 0, 1, -1, -1, 1, -2, 0, 2, -1, 0, 0, 0, 0, -1, 0, 1, 4, 1, 0, 0, -1, 1, 0, 1, 0, 0, 1, -1, 2, -1, 2, -2, 0, 1, 2, -2, -2, 2, 1, 6, 1, -1, -1, 2, 1, 1, 1, -1, -1, 1, 3, 1, 1, 0, 1, 0, 0, 0, -1, -1, 0, 1, 4, -1, -1, 1, 1, 2, 0, 0, -1, -2, -3, 2, -1, 1, -3, 0, 0, -1, 2, 0, 0, -1, -1, 6, 0, -1, -1, -1, -2, 2, 1, 1, -2, -2, 1, 0, 0, -1, -2, 2, 1, 0, -1, -1, -1, 0, 4, 1, -1, -1, -1, 1, 0, -1, 0, -1, 2, -1, 0, 0, 0, 1, 1, 0, 1, 2, 1, -1, 1, 4, -1, 1, 1, 0, -1, 1, 2, 2, -1, 0, 2, -1, 1, -2, -2, 0, 0, 1, 1, -1, -1, -1, 4, 1, 0, 1, 1, 0, 2, 1, 1, -1, 0, 0, 0, 0, -1, 1, 1, 1, 2, -1, -1, 1, 1, 4, 0, 0, 0, -2, 0, -1, -1, -1, -1, 0, 0, 1, -1, -1, 0, 1, 0, -2, -1, 1, 0, 0, 6, -1, -1, 0, -1, 2, -1, 1, 0, -2, -1, 0, 1, -1, 0, -1, 0, 2, 1, 0, 1, 0, -1, 4, 0, 0, -1, 2, -1, 0, -1, 0, 0, -1, -1, 1, 1, -1, -1, 1, 0, -1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 1, 2, 2, 1, 0, 1, 1, -1, -1, 2, 2, 0, -2, 0, 2, -2, 1, 1, 4, -2, -2, 0, 0, 1, 1, 1, -1, 0, 1, 0, -1, 0, -1, -1, -2, 0, 2, 0, 1, -1, -2, 6, 0, 0, -2, -2, -3, 1, 0, -1, 1, -1, -1, 0, -2, -1, 2, 2, -2, 1, -3, -1, -2, 0, 6, -2, 2, -2, 2, -3, 2, 2, 1, 0, 0, 1, 3, 0, 2, 0, -2, 0, -1, -1, 0, 0, -2, 4, -2, 0, -2, 1, -1, -2, -2, 0, 0, -1, -2, -1, -1, 1, 1, 1, 1, 1, 0, -2, 2, -2, 4, 1, 3, -1, 0, 2, 0, 1, 1, 1, 3, 0, 1, -1, -1, -1, 0, 2, 1, -2, -2, 0, 1, 4, 2, 0, 0, 1, -1, 0, 0, 1, 1, 1, -1, 0, 1, -1, 1, 2, 1, -3, 2, -2, 3, 2, 6, -1, 1, 2, 1, 0, 0, 1, 4, 0, -1, 0, 1, -2, 1, 1, 1, 1, -3, 1, -1, 0, -1, 4, -2, -2, 0, -1, -1, 0, -1, -1, -2, 1, 2, -1, 0, 0, -1, 0, 2, -1, 0, 0, 1, -2, 4, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, -1, 0, 1, 0, -1, 2, -2, 2, 1, 2, -2, 1, 4, 0, 0, 1, 1, 2, 0, 0, -1, 0, 0, 0, 1, 1, 1, 1, -2, 0, -1, 1, 0, 1, 0, 4, -1, -2, 1, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 4, 2, -1, -1, 1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 0, -1, 0, 1, -2, 2, 4, -1, 0, 0, 1, -1, -1, 1, 0, 2, 0, 0, 1, -1, 1, 1, 1, 0, 1, 1, 1, -1, -1, 4, 2, 0, -1, 0, 0, -1, 0, 2, -1, -2, 3, -2, 3, 1, 4, -1, 1, 2, 1, -1, 0, 2, 6, 1, 0, -1, 0, -2, 1, 0, -1, -1, 0, -1, 0, 1, 0, -1, 2, 0, 0, 1, 0, 0, 1, 4, 0, -1, 0, -1, 1, -2, -2, 2, 2, -1, 1, -1, -1, -2, 0, 0, 0, 0, 1, -1, 0, 0, 6, 0, -4, 2, -2, 0, 0, 2, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, -1, 0, 4, 0, 0, -1, 2, 2, -2, -2, 1, -1, 1, 1, 2, 0, 0, 0, 0, -1, 0, 0, 0, -4, 0, 6, -1, 2, -2, 0, 1, 0, 1, -1, -1, -2, -1, -1, 0, -1, 0, 1, -1, -2, -1, 2, 0, -1, 4, -1, 1, 1, -3, -1, 1, 0, 1, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, -2, -1, 2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 0, 1, -1, 1, -1, -1, -1, 1, 2, 0, 0, 1, 1, 2, -1, 1, 1, -2, -1, 1, 4, -1, 0, -1, -2, 1, 0, -1, -2, 2, 1, 1, -1, 1, 0, 1, -1, 2, 1, 0, -1, -2, -1, 4, -1, -1, 1, -2, 0, 0, 0, 0, -1, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 4, 0, 0, 2, 1, 1, 0, 0, -1, -1, -1, 0, -1, 0, 2, 0, -2, -1, -1, 1, -1, -1, 0, 4, -1, 0, 0, 1, 1, -1, -1, -1, 1, 0, 2, 1, -1, 1, 1, 0, -1, -1, -2, 1, 0, -1, 4, -1, 1, 0, 0, 0, -1, 0, 1, 0, 0, -1, 2, -2, -2, 0, 1, 1, 1, -2, 2, 0, -1, 4, 1, 1, 0, 1, 1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 1, 1, 4, 2, -1, 0, -1, -1, 0, -1, 0, -1, 2, -1, -2, 0, -1, -1, -1, 0, 1, 1, 0, 1, 2, 4, 0, -1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, -2, 0, 0, 1, 0, 0, -1, 0, 4, -2, 0, -1, 1, 0, -1, -1, -1, 0, 1, 1, 1, 1, 2, 0, 0, -1, 0, 1, 0, -1, -2, 4, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, 0, 2, 1, -1, -1, -1, -1, 1, -1, -1, 0, 0, 4, 0, -1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 1, 1, -1, -1, 0, 0, -1, 0, -1, 1, 0, 4, 1, 1, -1, 1, -2, 1, 2, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 1, 1, -1, 1, 4, 1, 0, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 1, 1, 4, 0, 1, -2, 0, 1, 0, 0, 1, 0, -1, -1, 2, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 4, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, -1, 1, -1, -1, -1, 1, 1, 1, 0, 1, 1, 4, -1, 1, 1, -1, 0, -1, -1, 0, 2, -1, 2, 0, 2, 0, -1, -1, -1, -2, -1, -2, 0, -1, 6, -1, -4, 0, 0, 1, 2, -1, 0, 1, -2, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 4, 1, 0, -1, 1, 1, 0, -2, 1, -2, 0, -2, 0, 1, 1, 1, 2, 1, 1, 0, 1, -4, 1, 6, 1, 0, -2, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 1, 4, 1, -1, -1, 0, -1, -1, 1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, -2, -2, 2, -1, 1, -1, -2, -1, 1, 0, 1, 1, -2, 1, 0, -2, 4, -2, 2, 1, -1, 1, 2, 2, -1, 1, 0, 1, 0, 1, -1, 0, -1, -2, 2, 1, 1, 2, -2, 4, -2, -1, 0, -1, -2, -1, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, -2, -1, 1, -2, 2, -2, 4, 1, 0, 2, 2, 0, 0, 0, -1, 1, 2, 0, -1, -1, -1, -2, 2, -1, 0, 0, 1, -1, 1, 4, -1, 2, 1, 0, 0, 1, 1, 2, 1, -1, 1, -2, 1, -1, 1, -1, 1, 1, -1, 0, 0, -1, 4, 0, 0, -1, 2, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 1, -1, 2, 2, 0, 4, 1, 0, 0, 0, 1, 2, 1, 0, 1, -2, 1, -1, 1, -2, 0, -2, 2, -2, 2, 1, 0, 1, 4, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, -2, 2, 0, 0, -2, 2, -1, 0, 0, -1, 0, 0, 4, -2, 1, 0, 0, -1, 1, -1, 1, 0, 0, 1, 0, 0, 2, -1, 0, 0, 0, 2, 0, 0, -2, 4, -2, 1, 0, 1, 0, 0, -1, 0, 0, -1, 1, -1, -1, 1, 0, 0, 1, -1, 0, 0, 1, -2, 4, 0, 0, 0, -1, 0, 1, 1, -1, 0, -1, 2, 1, 0, 0, -1, 1, 1, 1, 0, 0, 1, 0, 4, 0, -1, -1, 2, 0, 0, -1, 0, -1, 1, -1, 1, -1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 4, 1, 0, 0, -2, 1, -1, 1, 0, 0, -2, 0, -1, 2, 1, 1, 1, 2, -1, 1, 0, -1, 1, 6, 0, 0, -1, -1, 0, 1, -1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, 0, 0, 4, -1, 1, -1, 0, 1, 0, -1, 1, -1, 0, -1, 1, 0, 1, 0, -1, 0, 0, 2, 0, 0, -1, 4, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, -2, 1, -2, -1, 1, -1, 1, 0, -2, -1, 1, 0, 4, -1, 0, 0, 0, 1, 1, -1, 1, -1, 1, 0, 1, -1, 0, 0, 1, 0, 1, -1, -1, 0, -1, 4, 1, -1, 0, 0, 1, -2, 1, -2, -1, 0, -1, -2, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, 4, -2, 1, -1, -2, 2, -2, 2, 1, 0, 1, 2, 1, -1, 0, 0, 1, 1, 1, 0, 0, -1, -2, 4, 0, 0, 1, 1, -1, -1, -1, 0, -2, 0, 0, 1, -1, -1, 0, -1, 0, -1, 0, 0, 1, 0, 6, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, -1, 2, 1, 0, 0, -1, 1, 1, 0, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -2, -1, -1, 2, 1, 0, -2, 1, -1, 1, -1, 0, 1, 0, 1, 1, 0, -1, -2, -2, 6, 2, 1, -1, 1, -3, 1, -2, 2, 1, 0, 1, -1, 2, -1, -1, -2, 0, -2, 2, 2, 0, 2, 4, 0, 0, -1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, -2, 0, -1, -2, 0, -1, -2, 1, 0, 4, 2, 1, -2, 0, 1, 2, -1, 0, 0, 1, 0, -2, 0, -1, -1, 0, 1, 2, -1, -1, 0, 2, 4, -1, -1, 0, 2, 1, -2, 0, 0, 2, 0, -1, 0, 1, -2, 0, -1, 1, -1, 1, -1, 1, -1, 4, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, -1, 0, 0, 1, 0, 2, -3, -2, -2, -1, 1, 6, 1, -1, -2, -1, -1, 0, 1, 0, 0, 2, 1, 1, 1, -1, -3, 1, 1, 1, 0, 0, 0, 1, 4, -1, 0, -1, -1, 1, 1, 1, 0, -1, 1, 0, -1, -1, 0, 0, -2, 0, 1, 2, -1, -1, -1, 4, 1, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1, -2, 2, 0, 2, 1, 1, -2, 0, 1, 4, 0, -1, -1, 0, 1, -2, 0, -1, 0, 0, 1, 3, 1, 1, 0, -1, -2, 0, -1, -1, 0, 0, 4, 0, 0, -2, 0, 1, 0, -1, 2, -1, 1, 0, -1, 0, 1, 0, 0, -1, -1, -1, 0, -1, 0, 4, 0, 0, -2, 0, 0, 1, -1, -1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 1, -1, -1, 0, 0, 4, -1, 1, -1, 1, -1, 1, 0, 1, 0, -1, -1, 0, 1, 2, 0, 1, 1, 0, 0, -2, 0, -1, 4, -1, 0, 0, 1, -2, 0, -1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, -2, 1, -1, 4, 0, -1, -1, 1, 0, 1, 0, 1, -1, 1, -2, -1, -1, 0, 0, 0, -2, 1, 0, -1, 0, 0, 4, -2, 1, 0, 0, -1, -2, 0, -1, -2, 0, 0, 0, 2, -1, -1, 0, 0, 0, 1, 0, -1, -2, 4, -1, 1, 1, 1, 0, 1, -2, 0, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 4, -1, 0, -2, 0, 1, 0, -1, -1, -2, 0, 1, 0, 0, 0, 2, -1, 1, -2, 1, 0, 1, -1, 4, 0, 1, 0, 0, -2, -2, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 4, 1, 0, -1, 2, 0, 1, -1, 1, -1, -1, -1, 1, 1, 0, 1, -1, 1, -1, 1, -2, 1, 1, 4, 0, -2, 2, -1, 2, 1, 0, -3, 0, 1, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 2, 1, 1, 1, 1, 2, 1, 1, 0, -2, 1, -1, -1, 1, 1, 1, 0, 0, 1, 4, 0, -2, 2, 2, 0, -1, 0, 2, 0, 1, -1, -2, 2, -1, 1, -1, 2, 1, 1, 0, -1, 0, 4, 2, -2, 0, 1, -2, -1, -1, -2, -1, 1, 2, 1, 1, 1, -2, 1, 0, -1, 1, -2, -2, 2, 6, -2, -1, 0, -1, 1, 0, 0, -1, 1, 3, -2, 2, -1, -1, -1, -1, 0, 0, 2, 2, -2, -2, 6, 0, 1, 0, -1, 2, 1, 3, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 1, 2, 0, -1, 0, 4, -1, -1, 1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, -1, 4, 1, 0, 1, -1, 1, 1, 1, 1, -1, -1, 0, 1, -1, 0, -1, 1, -1, -2, -1, 0, -1, 1, 4, 1, 0, 1, 0, 0, 0, -1, 0, -1, 2, 0, 0, 1, -2, 1, 0, -1, 1, -1, 1, 0, 1, 4, 1, 1, 0, 1, 0, -1, 0, 0, 1, 0, 0, 1, -1, 2, 2, -1, 0, 2, 1, 1, 0, 1, 6, 0, 2, -1, -2, 0, 0, -1, 0, 1, 1, 1, 0, 1, 0, -2, 0, 1, 0, -1, 1, 1, 0, 4, 0, -1, -2, -1, 0, -1, 1, -1, -1, 0, -1, 1, 1, -1, -1, 3, -1, 1, 0, 0, 2, 0, 4, 0, -1, 1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 1, 1, -2, -1, 1, 0, 1, -1, -1, 0, 4, 1, 0, 0, 1, 0, 0, 0, 1, 0, -2, -2, 2, 3, -2, 0, 1, 0, 0, -2, -2, -1, 1, 6, -1, 1, -1, 0, 0, 0, 0, 0, 1, 2, 1, -2, 2, 1, 1, -1, -1, 0, -1, 1, 0, -1, 4, -2, 0, -1, 2, 1, -1, 1, -1, -1, 1, 2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 1, -2, 4, 1, -1, -1, 0, 0, 0, -1, 1, 1, -1, -2, 0, -1, -1, 0, -1, -1, -1, 1, -1, 0, 1, 4, -1, 0, 0, 1, 1, 1, -1, -2, -1, 0, 1, 0, 2, 1, 0, 1, -1, 0, 0, -1, -1, -1, 4, 0, 1, 1, 0, 1, 2, 1, -1, 0, 2, 1, 0, 0, 1, -1, 0, 0, 0, 2, -1, 0, 0, 4, 1, 0, 0, 1, 1, 0, -1, 0, 2, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 4, 1, 1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, -1, 0, 1, 1, 0, 1, 4, -1, 0, 0, 1, 0, 0, 1, -1, -2, -1, 0, -1, -1, 0, 0, 1, 0, 1, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 1, -1, -1, 0, 0, 2, 1, 2, 1, 1, -1, -1, 0, 1, 0, -2, 2, 2, 6, -2, 2, 0, 1, -2, -2, -2, 2, 0, 2, 1, 1, 0, 0, -3, -2, 1, -1, 1, 1, 0, -2, 4, -2, 1, 1, 0, 2, 0, -2, 2, -1, 0, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, 2, -2, 4, 0, -1, -1, 0, 0, 2, -1, 0, 0, 0, -1, 1, -2, -2, 0, 1, 1, 1, 0, 0, 1, 0, 4, 2, -2, 1, 0, -2, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -2, 1, 1, 1, -1, 2, 4, -2, -1, 0, -2, 2, 0, 0, 1, -1, -2, 0, -1, 0, -1, 0, 0, -1, -2, 0, -1, -2, -2, 4, 1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 2, 0, -1, 1, 1, -1, -2, 2, 0, 1, -1, 1, 4, 0, 0, 1, -1, 0, -1, -1, 0, 1, 1, -1, 1, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 4, -1, -1, -1, 0, 0, 0, -1, 2, 0, -1, 1, -2, 1, 0, 2, -2, 2, -2, -2, 1, 0, -1, 6, -2, 1, 2, 1, 1, 2, 0, 0, -1, -1, 2, 2, 2, 0, 2, -1, 1, 2, 0, 1, -1, -2, 6, -1, 0, 1, 0, -1, 0, 1, 1, 0, -1, 0, 1, 2, -1, 0, -1, 0, 0, -1, -1, 1, -1, 4, 0, 1, 1, 0, -1, 0, 1, -1, 0, 0, 2, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, -1, 0, -1, 0, 0, 3, 1, 1, 0, 0, -1, 1, -1, -1, 0, 1, 1, 1, 0, 4, 1, 0, 0, 0, -1, -1, 0, 1, 1, 0, 0, -1, -1, -1, 0, -1, 0, 1, 0, 1, 0, 1, 4, 1, 1, 1, 1, 0, -1, -1, -1, 0, 0, 1, -1, -2, 0, 0, -1, 2, -1, 0, 0, 0, 1, 4, -1, 1, 0, 1, 1, -1, -1, -3, 0, -2, 1, 0, 1, 1, 2, 0, 0, -1, -1, 0, 1, -1, 6, 1, 0, 0, -2, -1, 0, -2, 2, -2, -1, -1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 4, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, 0, -1, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, 4, 0, -1, -1, 0, -1, 0, 1, 1, -1, -1, 1, 1, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 4, -1, -1, -2, 1, 0, 1, -1, 0, 1, 0, -2, 2, -1, 0, 0, 0, -1, 1, -2, 0, -1, -1, 6, 0, 2, 1, -1, 1, -2, 0, 1, -1, 1, 2, 0, 0, 3, 1, -1, -1, -1, 0, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 1, 0, 0, -1, 0, 1, -1, -1, 2, -1, 1, 1, -1, -1, -2, 1, 0, 2, 2, 4, 0, 2, -1, 1, 0, -2, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 2, 0, 4, 1, 0, 0, 0, -1, 1, 1, 1, -2, 1, -1, 1, 0, 0, -1, -1, 1, 1, 1, 2, 2, 1, 4, 1, 0, 0, 0, -1, 0, 0, -1, 2, 0, 0, 0, 0, 0, -2, 0, -1, 0, 1, -1, 0, 1, 6, 0, 1, 3, -2, -1, 2, -3, 2, -1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, 4, 1, 1, 0, 0, 0, 1, 0, 1, -1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 4, -1, -2, -1, 0, -2, 0, -1, 1, 1, 0, 1, 2, -1, 1, -1, -1, -2, -1, 0, 3, 1, -1, 6, -1, 0, 2, -1, 0, 0, -1, 0, 0, -1, 0, 1, -2, 0, 0, 0, 1, -1, -2, 0, -2, -1, 4, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, 1, 1, 2, 1, 1, 1, 0, -1, 0, -1, 0, 0, 4, -1, 1, -1, 0, 1, 0, -2, 0, 0, 0, 1, 0, -1, -2, 1, 0, 2, 0, 0, 2, 0, -1, 4, -2, 1, -1, -1, -1, 1, -1, 0, 1, 0, 0, -1, 1, -2, -1, -3, 1, -2, -1, 1, 1, -2, 6, -2, 2, -1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, -1, 1, -2, 4, 0, -1, -1, 1, 0, -2, 0, 0, 2, -1, 0, -1, 0, -1, 1, -1, 0, 0, 0, -1, 2, 0, 4, -1, -1, 0, 2, 1, -2, 0, 0, 1, 0, 1, 0, -1, -1, 1, -1, 0, 1, -1, -1, -1, -1, 4, 2, -2, -1, -1, 0, 1, -1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, -1, 2, 4, -1, -1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 1, -2, 1, 0, 1, 0, -2, -1, 4, 0, 1, 0, 0, 2, -1, 0, -1, 0, 0, 0, 1, -1, -1, 0, -1, 0, 0, 2, -1, -1, 0, 4, 2, -2, 1, -1, -2, -1, -1, -2, 1, 2, 2, 0, -1, 0, 0, 1, -2, 1, -1, -1, 1, 2, 6, -2, 1, 0, 1, 0, 1, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, -2, 0, 1, 0, -2, -2, 4, 0, 1, 0, 0, 1, -1, -1, 0, 1, -2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 4, 0, 2, 1, 1, 0, 1, 2, -1, 0, 2, 0, 0, 1, 2, 0, -1, 0, 2, -1, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 0, 1, 2, 0, 0, -2, 0, 0, 1, 0, 2, -1, 0, 0, 1, 0, -1, -1, 2, 2, 4, 0, 0, 1, 2, 1, 1, -1, 1, 1, 0, 1, 0, -2, 1, 1, 1, -1, -1, -1, 2, 2, 0, 4, 0, 0, 0, 0, -1, -2, 0, -1, 0, -1, 1, 0, -1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 4, -2, -1, -2, 1, 1, -2, 1, 1, 1, 2, -1, 1, -1, 1, 0, -1, -1, 0, 1, 1, 0, -2, 4, 2, 0, -1, -1, 2, 0, 0, -1, 0, 0, -1, 0, -1, 1, 1, 0, 1, 2, 2, 0, -1, 2, 4, 0, 1, -2, 1, 0, 0, 1, 0, 0, 1, 0, 1, -1, -1, 0, 2, 0, 1, 0, -2, 0, 0, 4, -1, -1, 1, -1, 0, -1, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 4, 1, -1, 1, -1, 2, -1, 0, 1, 1, 0, 0, 0, -1, 1, -2, -1, -2, 1, -1, -2, -1, 1, 4, -1, 1, -1, 0, -1, 0, 0, 0, -1, 1, 1, -1, -1, 0, 1, 0, -2, 2, 1, 1, -1, -1, 4, -1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, -1, 1, 0, 0, -1, 1, 1, -1, 4, -1, 2, -1, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, -1, 0, -1, 4, 0, 3, -1, 1, -1, 0, -1, 0, -1, 0, 0, 1, -1, 1, -1, 1, -1, 2, 0, -1, 2, 0, 4, 0, 0, 2, 0, 1, -1, -1, 0, 1, 2, 0, 1, 2, 0, 0, -1, -1, -1, -1, -1, 3, 0, 6, -2, 1, -2, 0, 0, 0, -1, 0, -1, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 4, -1, 0, -1, 0, 0, 1, 0, 0, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 1, 2, 1, -1, 4, 0, 1, -2, -1, 0, 1, 0, 1, 1, -1, 0, 0, 1, 1, 0, 1, 1, -1, 0, -2, 0, 0, 4, -1, 0, 1, -1, 1, 1, 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 1, -1, 4, -1, -2, 1, 1, 0, -1, 1, 0, 1, -1, -1, 0, 1, -1, 0, -1, -1, 0, 0, -2, 0, -1, 4, 1, 0, 0, -1, -1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, -2, 1, 4, 0, -1, -1, -1, 0, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 0, 0, 4, -1, 2, 2, 1, 0, 1, 2, 0, 1, -1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, -2, 1, 1, 0, -1, 2, 0, -1, 2, -1, -1, -1, 0, 2, 0, 0, -1, 1, -2, 4, -2, -1, 2, -2, 0, -1, -1, -1, -1, 1, -1, 2, 0, 0, -1, -2, -1, -1, 0, 0, 2, -2, 4, -1, -2, 2, 0, -1, 0, 1, 0, 0, 2, 0, 0, 0, -1, 2, -1, 0, -1, 1, 0, -1, -1, 4, -1, -1, -1, 2, 0, -1, 0, 1, 1, -2, -1, 1, 1, -1, 1, 0, 0, -2, -2, 2, -2, -1, 4, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 1, 0, -2, 0, 1, 1, 0, 1, -2, 2, -1, 0, 4, 1, -1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1, 1, 1, 4, 0, 0, 2, 1, -1, 1, 0, -1, 1, -1, 0, 1, 1, 1, 1, 0, -1, -1, 2, 0, -1, 0, 4, 1, 1, 1, -1, 0, -2, -1, 1, 0, 0, 2, 1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 1, 6, -2, -1, -1, -3, 2, 0, 1, 2, 0, 2, -1, -1, -1, 2, -1, 1, -1, 0, 1, 2, 1, -2, 6, 1, -2, 2, -1, -1, 0, -1, 2, 1, 1, 1, 2, 0, -1, 0, 0, 1, 1, 1, 1, -1, 1, 4, -1, 1, -3, 1, 1, -1, 0, 0, 2, 1, 1, -1, 1, 0, 1, 0, 0, -1, -1, -1, -2, -1, 4, 1, 0, -1, 0, 0, -1, -1, -1, -1, -2, 2, -1, 2, 1, -1, 0, 1, 0, -3, 2, 1, 1, 6, -3, 0, 0, -1, 0, 0, 1, 0, 1, -1, 2, 0, -2, 0, 0, 0, -2, 2, -1, -3, 0, -3, 6, -1, 0, 0, 0, -1, -2, 0, 0, -1, 0, 0, -1, 1, 0, -1, -1, 0, -1, 1, -1, 0, -1, 4, -1, 0, -1, 0, 1, 0, 1, -1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, -1, 4, 0, -1, 0, 1, 1, 0, 0, -1, -1, 1, 0, 0, -1, 0, 2, -1, -1, 0, -1, 0, 0, 0, 4, 0, 1, -1, 0, -1, 2, -2, 2, -1, -2, 1, 0, 0, 0, 2, 0, -1, 0, 0, -1, -1, 0, 4, 0, 0, 0, 1, 0, -1, -1, 1, 0, 0, 1, 2, 2, 1, 0, -1, 0, -1, 0, 0, 1, 0, 4, 0, 0, 0, 0, -1, 0, 0, 1, 1, 1, 1, -1, 1, 2, -1, 1, -2, 1, 1, -1, 0, 0, 4, 2, 1, -1, 0, -1, 0, 1, 0, 1, 0, -1, 1, 1, -1, 0, 0, 0, 1, 0, 0, 0, 2, 4, 0, 1, 0, 1, -2, 0, 0, 1, 0, -1, 2, 1, -2, 1, 0, 1, 0, -1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, -1, 1, -2, -1, 1, 2, -1, -1, 2, -1, -1, 0, -1, 0, 2, -2, 1, 4, -2, 2, 1, -2, -1, 0, -1, 0, -1, 2, 1, -1, 1, -1, 0, -1, -1, 1, -1, -2, -1, -2, 4, -2, -1, 0, 1, 0, 2, 0, 1, -1, 0, 0, -1, 2, -1, -1, 0, 1, -1, 2, 1, 2, -2, 4, 2, -1, -2, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, -1, 2, 1, -1, 2, 4, -2, -1, 0, 0, -1, 1, 0, 0, -2, 2, 0, 0, 0, -2, 0, 2, -2, -2, -2, 0, -1, -2, 4, 1, 0, 1, 0, -1, -2, 0, 2, -1, 0, 1, 1, 1, -1, 0, 2, -1, -1, 1, -2, -1, 1, 4, 1, -1, 0, 1, 0, 1, 2, 0, -1, -1, -1, -1, 1, -2, 2, 1, 0, 0, 0, 0, 0, 1, 4, -1, 0, -1, 2, 0, 1, 0, -1, -1, 0, 0, 0, -1, -1, -2, -1, 2, 0, 0, 1, -1, -1, 6, -1, 0, -2, -1, 0, 0, 1, 2, 0, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, 0, 0, -1, 4, 0, -1, 0, 1, -1, 1, 0, -1, 1, 1, 0, 2, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 4, 0, -1, 0, 1, 0, 0, -1, -1, 1, 1, 1, 2, 2, -1, 0, 0, -2, 0, 2, -2, -1, 0, 6, -1, 0, 1, -2, 0, -1, 0, 1, -2, -2, -1, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, -1, 4, 0, -1, 0, -1, -1, 0, 1, -1, 0, -1, -1, 0, -1, -2, 2, 2, 1, 0, 1, 0, 0, 0, 4, 0, -1, 0, 0, 1, 0, -1, 1, 2, 1, -1, 1, 2, -1, 0, 0, 0, -1, 1, 1, -1, 0, 4, -1, 0, -1, -2, 0, 1, -1, -1, -1, 2, 0, 0, 0, -1, -1, 1, 1, 0, -2, 0, -1, -1, 4, 0, 0, 0, 0, 1, 2, -1, 0, -1, 0, 0, 1, -1, -1, 2, 0, 0, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, -1, -1, -1, -1, 0, -1, 0, 0, 4, 1, -2, 2, -1, -1, -1, 0, -1, -2, 1, -1, 0, 0, 1, -1, 0, 0, 1, -2, 0, 1, 1, 4, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, -2, -1, 4, -1, 1, 2, -1, -1, 1, 2, 0, -2, -1, -1, 0, 1, -2, -1, -1, 1, 1, 0, 2, 0, -1, 6, -1, -2, -2, 2, -1, -2, 2, 2, -1, 0, 2, 1, -2, 0, 1, -1, 2, 0, -1, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 2, 1, 2, 0, -1, 1, 1, 2, 2, 0, 2, 2, -1, 1, 0, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, -1, 0, 1, 0, 0, 0, -1, 1, 1, 1, -1, 1, -1, -1, -1, 0, 4, 1, 0, -1, 0, 1, -1, 0, 1, 0, 0, -2, 1, -1, 1, 2, -2, -1, -2, 0, 1, 2, 1, 4, 0, 0, -1, 1, -2, -1, 0, 0, 0, -1, -1, 1, 0, 0, -1, 1, 0, -1, -1, 0, 0, 0, 4, -2, 1, 0, -1, 1, 0, -2, -1, 0, 1, -2, -1, -1, 0, 1, 1, 0, 2, 2, -1, 0, -2, 6, 1, 1, 1, 1, 1, 1, 2, 2, -2, 1, 0, 2, 0, 1, -2, 1, 1, 0, 0, -1, 1, 1, 4, 2, 1, 0, 2, -1, 1, 1, 1, 0, 1, -1, 0, -1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 4, -1, -1, 1, 0, 2, 0, 1, 1, 1, -1, -1, -1, 1, 1, 0, -1, -1, -2, -1, 1, 1, -1, 4, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 1, 1, 0, -1, 1, 4, 1, -1, 0, 0, -1, -2, -2, 1, 1, 1, -1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 4, -1, 0, 0, 1, 0, 2, 0, 0, -1, 0, 1, 1, 0, 0, 0, -2, 1, -1, 0, 1, -1, -1, 4, 1, 0, -1, 2, 1, 0, -1, 0, 0, 0, 2, 0, 0, 0, -1, 2, 1, 2, 1, 0, 0, 1, 4, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, -2, -1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, -1, 1, -1, 1, -2, 1, 1, 0, -1, 1, -1, 0, 0, 4, -1, 2, -1, 0, -2, 1, 0, 2, 1, -1, 1, -2, 1, 0, 1, 1, -2, 0, 2, 1, 0, -1, 4, 1, -1, 0, 0, 1, 0, 2, 1, 1, 0, -1, 0, 1, 1, 0, -2, 2, 1, 0, 1, 2, 1, 6, 1, -1, -2, 0, 1, -1, 1, 2, 0, -1, 2, -1, -1, 0, 1, 0, 0, 0, 0, -1, -1, 1, 6, -1, 1, -4, 0, 1, -1, -2, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, 1, 0, 0, -1, -1, 4, 0, 1, 0, 0, 1, -1, 1, 1, 1, -1, -1, 0, 1, -1, 0, 0, 0, -2, 0, -2, 1, 0, 4, 0, -1, 1, -1, -2, 0, 1, -2, 1, 1, 0, -1, 0, 0, 0, 0, 1, 1, 0, -4, 1, 0, 6, 0, 1, -1, 0, -1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 4, -2, 0, 0, 0, -2, 1, -1, 0, 1, 1, 0, -1, 2, -1, 1, 0, 1, -1, 2, -1, -1, -2, 6, -1, 2, 2, 3, -1, -1, -1, -1, 0, 2, 0, 1, -1, 1, 1, 1, -2, 1, -2, 0, 0, -1, 4, -2, 1, -2, 0, -1, 1, 1, 0, 1, 0, -2, -1, -1, -1, 0, 2, -2, 2, 0, 0, 2, -2, 4, 1, 1, 0, -1, 0, -1, -1, 0, 1, 2, 0, 2, 0, 1, -2, 2, -1, 0, 0, 2, 1, 1, 4, 1, 0, -1, -1, 0, 1, 2, -1, 0, -2, 2, 1, 2, 0, 0, -1, 0, -2, 3, -2, 1, 1, 6, 1, 2, -2, -1, 1, 1, 0, 0, 1, 0, 0, 1, 0, -1, -2, 2, 1, -1, 0, 0, 0, 1, 4, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 1, -1, -1, -1, -1, -1, 2, 1, 4, -1, -1, 1, -1, -1, -1, 2, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, 0, -1, -2, 0, -1, 4, -1, -1, 0, 1, 0, -1, 0, 0, -1, 0, -1, 1, 1, 1, -1, 1, -1, 0, -1, 0, -1, -1, 4, 1, 0, -1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, -1, 1, 1, 1, 1, -1, 1, 4, 0, -1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, -1, 0, 0, 0, 4, -1, 0, -2, 0, 1, 1, 0, 0, -2, -1, -1, 0, 0, 1, -1, 0, 0, -1, 1, -1, -1, -1, 4, -1, 0, -1, -2, -2, 1, -1, 0, 0, 2, 1, -2, 2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 4, 0, 2, 1, 1, -3, 3, -2, 1, -1, -1, -1, 0, -2, 1, 0, 2, -1, 1, 0, -2, 0, 0, 4, -1, -1, 0, 0, 0, 2, 1, 1, 1, -1, 2, 2, 0, 0, -1, 0, 0, 1, 0, -1, 2, -1, 4, 1, 1, -1, 2, -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, -2, 1, -1, 1, 4, 1, -1, 1, -1, 0, 1, 1, 0, 1, 2, 1, 0, 0, -1, 1, 1, 1, -2, 1, 0, 1, 1, 4, -2, 1, 0, 2, -1, -2, 2, -2, 0, 0, 2, 1, 0, 0, 1, 0, 1, -3, 0, -1, -1, -2, 6, -2, 2, 0, 2, 1, -2, 2, 0, -1, -1, -2, -1, 1, 0, 0, -1, 3, 0, 2, 1, 1, -2, 6, -2, 2, -1, -2, 2, -1, -1, -2, 0, 1, 1, 1, 0, -2, 0, -2, 2, -1, -1, 0, 2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, -1, 0, -1, 0, -1, 0, -2, 2, 1, 0, 2, -1, 0, -1, 0, -1, 1, 1, 4, 0, 0, 1, -2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, -1, 1, 0, -1, 1, 1, 2, 0, 4, -2, 0, 0, 1, -2, 0, -1, -1, -2, 1, -1, -1, 1, 1, 0, -1, 0, -2, 0, -2, 0, -2, 4, 1, 1, -1, 2, 0, 1, 1, 2, -2, 0, 1, -1, 0, 1, 2, -1, 0, 1, -1, 1, 0, 1, 4, -1, -1, -1, 1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 1, -1, -1, -2, 0, 1, -1, 4, 1, 0, 0, 1, 0, 1, -1, 0, 1, -1, 1, 1, 1, -1, -1, 1, 0, 1, 1, -1, -1, 1, 4, -1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, -1, -1, -1, 0, -1, 0, -2, 2, -1, 0, -1, 4, 0, 0, 1, 2, -2, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 4, -1, -2, 1, 0, 1, 1, 1, 1, 2, 0, -1, -1, 0, -1, 0, -1, 1, 0, 1, 0, 0, -1, 4, 0, 1, -1, 0, 1, -1, 1, 0, 0, -1, 0, 1, 0, 0, -1, 1, -1, 0, 0, 1, -2, 0, 4, 0, -1, 0, 1, -1, -1, 0, 1, 0, 0, 1, -2, 0, -2, 2, 0, 1, 0, 2, 1, 1, 0, 4, -2, 0, 1, 0, 0, 1, 0, -1, 0, 1, 2, 2, 1, -2, 0, -1, 1, -2, 0, -1, -1, -2, 6, 0, -1, 0, -2, 0, 0, 0, 2, 0, 1, 1, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0, 4, 2, 1, 0, 1, -1, -1, -1, 0, 0, 0, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 2, 4, 1, 0, 2, 0, -2, -2, 1, 2, 0, 1, -1, 0, -1, 0, 0, 1, -1, -1, 0, 0, 1, 1, 4, -1, 0, -2, 0, -2, 0, -1, -1, 1, 0, 0, 1, 0, -1, 1, 1, -1, 0, -2, 0, 0, -1, 4, 0, 0, 0, -2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 4, 1, -2, -1, 1, -1, 0, -1, 2, 1, 1, -1, 1, 0, 0, 1, 0, 0, -1, 0, -2, 0, 1, 4, -1, 1, 1, 0, -1, 0, -1, 0, -1, -1, -1, -1, -1, 0, -1, 0, -1, -2, 0, 0, -2, -1, 4, 2, -1, -1, 1, -2, 0, 1, -1, -1, 0, -1, 0, 0, 0, 2, -1, -2, -2, -2, -1, 1, 2, 6, -1, 1, 1, 0, 1, -1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, -1, -1, 0, 0, -1, -2, -1, -1, 0, 0, -1, 0, 1, 0, 1, -2, -2, -1, 2, 4, -2, 2, 0, -1, 0, -1, -2, -2, -1, -2, 0, 1, 0, -1, 0, -1, 1, -2, 0, -1, -2, -2, 4, -2, 0, 0, 0, -1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, 2, -2, 4, 0, -1, -1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -1, -1, -1, -1, 1, -1, -1, 0, 0, 0, 4, 2, -1, -1, -1, 0, 1, 1, 1, 1, -1, 1, -2, -2, -2, 0, -1, 0, -1, -1, 0, -1, 2, 4, -1, 0, 1, 1, 2, 1, -1, 1, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, -1, -1, -1, 4, 1, 1, 0, 1, 0, 1, -1, 0, 0, 1, 2, 0, 0, 1, 1, 0, -1, -1, 1, -1, 0, 1, 4, 2, 0, 1, 2, 0, -1, 1, 2, 0, 0, -1, 0, 2, 1, -1, -2, 1, 0, -1, 1, 1, 2, 6, 2, 1, 2, -1, 0, 0, 0, 0, 2, -1, 2, 1, 2, -2, -2, 1, -1, 0, 1, 0, 0, 2, 4, 0, 1, 0, -1, 1, 0, 0, 1, -1, 2, 0, 1, -1, -1, 0, -1, 1, 2, 1, 1, 1, 0, 4, 2, 0, 1, -1, 1, 1, 0, -1, 0, 1, 2, -1, -2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 4, 0, 0, 0, 2, 0, 0, -2, 1, 1, 2, 0, 0, 1, 0, 1, -1, 1, 0, -1, 0, 0, 0, 4, 0, 0, 1, -1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, -1, 1, 0, 0, 4, 0, -1, -1, 0, 1, -1, 1, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 4, 0, 0, 0, 1, 1, 2, 1, 0, -1, -1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, -1, 0, 4, 0, -1, -2, 0, 0, 1, 1, 0, 0, -1, -2, 0, 1, 0, 0, 0, 1, 0, -1, -1, 0, 0, 4, 1, 1, 0, 0, 1, 0, -1, 1, -1, -2, -1, 2, 0, 2, 1, 0, 0, 0, 0, 0, -1, 1, 4, 1, 1, 1, 1, 1, 1, 0, -1, -2, -1, 0, -1, -1, -1, -1, -2, -1, 1, 1, -2, 1, 1, 4, -1, 0, 0, -2, -2, 1, -1, 0, 1, 0, 0, 2, 2, 0, 1, -1, -1, 1, 0, 0, 1, -1, 4, 1, 1, -2, 0, 0, 1, -1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 6, 1, -1, -1, 0, -1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 0, 1, -2, 0, 0, -2, 0, 2, 2, -1, 1, 1, 1, 1, -2, -1, 0, 1, 4, 0, 0, 1, 0, 1, -2, 0, 0, 0, 1, 1, -1, -1, -1, 1, 2, 1, 1, -2, 1, 2, 0, 4, -2, 0, 1, -1, 0, 0, 1, -2, -1, 1, 1, 0, 1, 0, -1, 0, -1, 1, 0, -2, 0, -2, 4, 1, -1, -1, 1, 1, -1, 2, 1, -2, -2, -1, -2, -1, -1, 0, 1, 1, -1, -1, 1, 0, 1, 4, 1, -2, 0, 0, 0, 0, -1, -2, -1, 1, 0, 1, 1, -1, 2, -1, -1, 0, 0, 1, -1, 1, 4, -2, 1, 0, 2, 0, -1, 0, -1, 1, 0, 0, 1, -1, 0, -1, 1, 1, 1, -1, -1, -2, -2, 6, -3, 1, -1, 0, 1, 2, 1, -1, -1, 0, 1, 2, 1, -1, 1, -2, -2, 0, 1, 0, 1, -3, 6, 1, 2, 1, 1, -1, -1, 2, -1, 0, -3, -2, 1, 3, 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 0, 1, 0, -1, 0, -1, -1, -1, 0, -1, 0, 0, 1, 0, 0, 1, -1, 0, 2, -1, 2, 0, 4, -1, 1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 1, 1, -1, 4, 1, -1, -2, -1, -2, -1, 0, -1, 1, 0, 1, 0, 1, -1, 1, -1, -1, 1, 1, 0, 1, 1, 4, 1, 0, 0, -2, 0, 0, 0, 1, 0, 0, 2, 1, 1, -2, -2, 0, 2, -1, -1, 0, -1, 1, 4, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, -1, 1, -2, -1, -1, 1, -1, 0, 0, -2, 0, 1, 4, 0, 2, 0, 1, 0, -2, -1, -1, -1, -1, 0, -1, 1, 1, -1, 2, -1, 2, -1, 0, 0, 0, 4, 1, 1, -1, -1, 1, 1, 0, 1, -1, 1, -2, 0, 0, -1, -1, -1, 0, -2, -2, 0, 2, 1, 4, 0, 1, 0, -2, -1, 0, 1, 1, 0, -1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 1, 0, 4, 1, 0, 1, 0, 0, 1, 2, -1, -1, 1, 1, 1, -3, 0, 0, 0, 0, 0, 1, -1, 1, 1, 6, 0, 0, -4, 1, 1, 1, 0, 0, -1, -1, 2, -2, -1, -1, -1, 0, 2, 0, -1, 0, 0, 0, 4, 0, 0, 0, -2, 1, -1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, -2, 1, -2, 1, 0, 0, 6, 1, 0, -1, -2, 1, 1, -1, -1, -1, 3, 0, 0, 0, 0, 0, -1, 1, -1, 0, -4, 0, 1, 6, -1, 0, 1, 0, -1, -1, 1, 1, 0, 1, 0, 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 1, 0, 2, 1, 1, 0, -1, 1, -1, -1, 1, -1, -1, 0, 2, -1, 2, 1, 2, 4, 0, 1, -1, -1, 0, 0, 2, -1, -1, 0, -1, 0, 1, -2, 0, 1, 1, -1, 0, 1, 2, 0, 6, 3, 3, 1, 1, 3, -1, -2, 1, 0, -1, -1, 1, -2, 0, -2, -1, -1, 1, 2, 2, 1, 3, 6, 3, -1, 1, 2, 1, -3, -2, 1, -1, 1, -1, -2, -1, 0, 0, -1, 0, 0, 1, -1, 3, 3, 6, 1, 2, 1, -1, -3, -1, 2, -2, -1, -2, -1, -2, 0, 0, -2, 0, 0, 0, -1, 1, -1, 1, 4, 0, -1, -1, -1, 2, 1, 0, 0, -1, 1, 1, -2, 0, 0, -1, 0, 2, 0, 1, 1, 2, 0, 4, 1, -1, -1, -1, 0, -1, -1, -1, 0, -2, 0, 2, -1, 2, 1, 1, 0, 3, 2, 1, -1, 1, 4, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, 2, 1, 1, 2, -1, 1, -1, -1, -1, 0, 4, 0, -1, 1, -1, 0, 1, -1, 1, 1, 1, -1, -1, -1, 0, -1, -2, -3, -3, -1, -1, -1, 0, 6, 1, 0, 1, -1, 2, 2, 0, 1, 1, 1, 2, -1, -1, -1, 1, -2, -1, 2, -1, 0, -1, 1, 4, -1, 0, 0, 1, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, -1, 1, 0, -1, 4, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, -1, -1, -1, -1, -2, 0, -1, -1, -1, 1, 0, 0, 4, 2, 1, 1, 1, 0, -1, 2, -1, 0, -1, 0, -1, 1, -1, 0, -1, -1, 0, -1, 0, 0, 2, 4, -1, 0, 0, 0, -1, 1, -1, 0, 1, 1, 1, -1, -2, -1, -1, 0, 1, 2, 1, 0, 1, -1, 6, 0, 2, 1, 0, 1, -1, 0, -1, -2, -2, -2, -1, 1, 0, -1, -1, 2, 1, 0, 1, 0, 0, 4, 1, 0, 0, 1, 0, -1, -1, 0, 0, -1, -2, 1, -2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 4, -1, -1, 1, -2, 0, 0, 1, -2, 0, 0, -2, 0, -1, 1, 1, -1, 1, 0, 0, 1, 0, -1, 4, 1, 0, 0, -1, 2, 1, -1, 0, 0, 0, 2, -1, 1, 1, -1, 1, -1, -1, 0, 0, -1, 1, 4, -1, 1, 0, -1, -1, -1, -1, -2, 0, -1, -1, -1, 1, 0, 0, 2, 1, 1, 1, 1, 0, -1, 4, 0, 0, 2, 0, 1, 0, 0, -1, 2, 2, -1, 2, 0, -1, -1, -1, -1, 0, -2, 0, 1, 0, 6, 1, 1, 1, 2, 0, 0, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, -1, -1, 1, 1, -1, 1, -2, -2, 2, 1, 1, -1, 1, -1, 1, 1, 4, -1, 0, -1, 2, 1, -2, -1, 0, 0, 0, 2, 0, 0, 0, 1, -1, -2, 0, 0, -1, -1, -1, 4, -1, 0, 0, 0, 0, 1, 1, 1, -1, 0, 1, 1, -1, -1, 0, 0, 1, -1, 0, -1, 0, -1, 4, -1, 0, 0, 1, -1, -2, -1, 1, 1, 0, 1, -1, 0, 0, 0, -2, 1, 1, 1, -1, 0, -1, 4, -1, 1, -1, 0, 0, 1, -1, 0, -1, 0, 0, -1, 2, 1, 0, -1, 0, 1, 2, 0, 0, -1, 4, 2, 0, 0, 0, -1, 1, 0, 0, 0, 0, 2, -1, -2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 4, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, 0, 1, -1, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, -1, 0, 1, -1, -1, 1, -1, 0, 0, 0, 0, 4, 1, 0, 1, -2, 2, 1, 0, -1, -1, 1, 1, 0, -1, 1, 0, 1, -2, 0, 0, 0, 0, 1, 4, 1, 0, -1, 1, 0, 0, -1, 0, -1, 2, -1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 0, 1, 4, -1, 0, 0, -1, 0, 0, 0, -1, 1, -2, -1, -1, 0, -1, 1, -1, 1, -1, 0, 1, 0, -1, 4, -1, 1, 0, -1, 0, -2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, -2, -2, -1, 0, -1, 4, -1, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 1, 0, -1, 0, 0, 0, 2, 1, 0, 1, -1, 4, 2, -2, -1, -1, 0, 0, 1, -1, -2, 0, 1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 2, 4, -2, -2, 0, 0, -1, 1, 0, 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, -2, 4, 1, 1, 0, 1, -1, 0, 1, 1, -1, 0, -1, 2, 1, 1, -1, -1, 0, 0, 0, -1, -2, 1, 4, -1, -1, 0, 0, 0, 1, -1, 0, 0, 2, -1, 1, 0, -1, 0, 0, -2, 0, -1, 0, 1, -1, 4, 1, 0, 0, 1, -1, -2, 0, 0, 1, -2, -1, 0, 1, -1, -1, 0, -1, 0, 0, 0, -1, 1, 4, -1, 1, 1, 1, 0, 1, -2, 0, 0, 0, -1, 1, 2, 1, 0, 0, 0, -1, 1, 0, 0, -1, 4, 0, -1, -1, 0, -1, 1, -1, 0, 0, 0, 0, -1, -2, 1, 0, 1, 1, -1, 0, 0, 1, 0, 4, 0, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, -2, 2, -1, -2, 1, 2, 1, -2, -2, 1, -1, -1, 2, 1, 1, -2, -1, -2, -1, 4, 0, -1, 0, -2, 2, 1, 0, 1, -1, 1, -1, 1, -1, -1, -2, 0, -2, 1, -1, -1, 1, 0, 4, 0, 0, 1, -1, 0, -1, 2, -1, 1, 0, 1, 1, 1, 2, -1, 1, 1, -1, 0, 2, -1, 0, 4, -2, 1, 0, -1, 2, 1, 2, -1, 0, 0, 0, 0, 2, 1, 0, -1, 0, -2, -2, 0, 0, -2, 4, -1, -1, 1, -1, -2, -2, 1, 2, 0, 0, 1, -2, 0, 1, 1, 0, 2, 2, -2, 1, 1, -1, 4, -2, -2, 1, 0, 1, -2, -1, 1, 0, 1, 1, 1, 2, -2, -1, -1, -1, 2, -1, 0, -1, -2, 4, 0, 1, 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, -2, 1, 0, -1, 1, -2, 0, 6, 0, -2, 0, 4, 3, 0, 2, -1, 0, 1, -2, 4, 1, -1, 1, 0, -1, 2, -1, 1, 1, 0, 6, -2, 0, -2, -1, -1, 0, 0, -1, 2, 0, -2, -1, -3, 2, 1, 2, 1, -2, 0, 1, -2, -2, 6, 1, -1, -1, 2, 0, 0, 3, -2, 0, -1, -1, -1, 1, -1, -1, 2, -2, 1, 0, 0, 0, 1, 4, -1, 1, 1, 0, -1, 2, 1, 0, -1, 1, -2, -2, 1, 1, -1, 1, -2, 0, 4, -2, -1, -1, 6, 3, 0, 2, 0, 0, 0, -2, 4, 1, 1, -2, -1, 0, 0, 2, -1, 0, 3, -1, -1, 1, 3, 6, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, -1, 0, -1, 2, 1, 0, 0, 4, 0, 0, 0, 1, 0, 0, -1, -2, -1, -1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 4, 1, 1, -1, 0, 2, 1, 0, -1, -1, 1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 1, 0, 1, 4, 1, -1, 1, 0, 0, 2, 2, -2, 2, 2, -2, 1, 0, 0, -1, 3, 2, 0, 1, 0, 1, 1, 6, -1, 1, 0, 1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 2, -2, 1, 0, 0, 1, -1, -1, -1, 4, 0, 0, 0, -2, 1, -2, 1, 0, 1, 2, -1, -2, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, 4, -2, 0, 1, -2, 1, 1, -1, 1, -2, 0, 4, -2, -1, -1, 4, 2, 0, 2, 0, 0, 0, -2, 6, 2, 1, -1, -1, -1, 0, 0, -1, 1, 1, -1, -1, 1, 1, 2, -1, 1, 0, 1, 0, 0, 2, 4, 1, -2, -1, 0, -2, 2, -1, 0, -1, -3, -1, -2, 1, 1, -2, 0, 2, 0, -2, 1, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 0, -1, 1, 1, 2, 2, 1, -1, 0, -1, 0, -2, 2, -1, -2, 1, 1, -2, 2, 1, 4, -2, 1, -2, 0, 0, 0, 0, 0, -1, 1, -2, 0, -1, 2, 1, 0, -1, 2, -2, 2, -1, -2, 4, 0, 1, -1, 0, 0, -1, 0, 1, -1, 1, 1, 2, -2, 1, 0, 0, -2, 0, -2, 0, 1, 0, 6, 2, 0, 2, 1, -2, -1, 2, 0, -2, -2, -1, 2, 2, -2, -1, 1, 0, -2, -1, -2, 1, 2, 6, -1, 2, 1, 0, -2, 0, 1, 1, 0, 2, -2, -1, 0, -1, -1, 0, -3, 1, 0, -1, 0, -1, 4, -1, 1, 0, 2, -1, -1, -1, -2, -2, 2, -1, -1, 2, 0, -1, 2, 1, 0, 0, 2, 2, -1, 4, 2, 1, -2, 1, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, -1, 2, 0, 0, 1, 1, 1, 2, 4, 2, -1, -1, 0, 0, 0, -1, 2, 0, -2, 0, 0, -2, 1, 2, 0, -1, -2, 0, 0, 1, 2, 4, 0, -2, 1, 1, 1, 0, 1, -2, -1, 0, 0, -1, 1, 1, 0, 0, -1, -2, 2, -2, -1, 0, 4, -1, -1, -1, -1, -1, 0, -1, -1, 2, 0, 0, 1, -1, -1, 1, 2, 0, -1, 1, -1, -2, -1, 4, -1, 0, -1, 0, 0, 1, 0, 0, 0, 2, -2, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -1, 4, -1, 1, 1, 0, 0, 1, -1, 0, -1, -1, -1, -2, 1, -2, 1, -1, 0, 0, 1, -1, 0, -1, 4, 1, 1, -2, -1, 1, 0, -1, 2, 0, 0, 0, 1, -2, 0, -2, 0, 0, 1, -1, -1, 1, 1, 4, 1, -1, 0, 1, -1, 0, 0, 0, -2, -1, 2, -1, 2, -2, 1, -1, 0, -1, 0, 1, 1, 1, 6, -2, 0, 2, 0, -1, 0, -3, 2, 2, -2, 2, -2, 2, 1, 2, 1, 0, 0, 0, -2, -1, -2, 6, 1, -2, 0, 2, -1, 2, -1, 1, 1, 2, -1, -1, 0, 0, -2, -1, 1, 0, -1, 0, 0, 1, 4, 0, -1, 0, 0, 0, -2, 0, 0, -2, 0, -1, -1, -2, -1, -1, 0, 1, 1, 1, 2, -2, 0, 4, 0, 0, 1, 0, 1, -1, 0, -1, -1, 2, 0, 0, 0, 2, 0, -1, 0, -1, 0, 0, -1, 0, 4, -1, 0, 1, 1, 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 2, 0, 0, -1, 4, 1, 1, -2, -2, 0, 0, 0, -1, -1, -2, -1, 0, 2, -1, 2, 0, 0, -1, 0, 1, 0, 1, 6, -2, 2, 2, -2, -2, -3, 2, -1, 1, 1, 1, -2, -1, 0, 0, -3, 2, 0, 0, 1, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, 0, 1, -2, -1, -2, -2, -1, -1, 0, 0, -1, 1, 1, 2, 0, 0, -2, -2, 1, 4, -1, -2, 0, 0, 0, 0, -2, -2, -1, 0, 1, 0, -2, 0, 1, -1, 0, 0, -2, 0, -2, -1, 6, 3, 2, -2, 1, -1, 0, 0, -1, 1, -2, 2, 0, -1, -1, -1, 1, -1, 3, 3, -1, -2, 3, 6, 1, -1, -1, -2, 0, 0, -2, 2, -1, 1, 0, -2, 1, 1, 2, 1, 3, 3, 0, 0, 2, 1, 4, -1, 0, 0, 0, -2, -1, -1, -1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, -2, -1, -1, 4, -1, 1, 1, -1, 0, 0, 1, 1, 1, -1, -1, 1, -1, 1, -2, 0, -2, 0, 1, -1, 0, -1, 4, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, -2, 0, -1, 1, 0, -1, 0, -1, -2, 0, 1, 2, 4, 2, 0, 1, -1, 2, 0, 0, 0, 0, -1, 0, 1, -1, 0, -2, -2, 0, 0, 0, 1, 1, 2, 4, 2, 1, 0, 1, 0, 2, 0, -1, -1, 0, 1, 0, 0, -2, -2, 0, 0, -2, -1, 0, 0, 2, 6, 2, 0, -1, 0, 2, 1, -2, 0, -2, -1, 2, 0, -1, -1, -1, -2, -1, 0, 2, 1, 1, 2, 4, 0, 0, -1, 1, 1, -1, 0, -1, -1, 1, -1, -1, 0, 1, 2, -1, 0, 1, -1, 0, 0, 0, 4, 0, 1, 0, -2, 0, 0, 0, 0, 2, 2, 0, 1, -2, -1, -1, 1, 1, 2, 1, -1, 0, 0, 4, -1, -1, -1, 1, -1, 0, 1, -1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, -1, 1, -1, 4, 1, -1, -1, 0, 0, 0, 0, 2, -1, -2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, -1, 1, 4, 0, -2, 0, -1, 0, 0, 0, 1, 0, -1, -2, 1, -1, 0, 0, 0, 1, 1, -2, -1, -1, 0, 4, 0, 0, 0, -1, -1, -3, 1, 1, -1, 1, 1, -1, 0, 0, -1, -2, -1, 0, 1, -1, -2, 0, 4, 0, 2, 1, -1, -1, 2, -1, -1, 1, 0, 1, -2, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, 1, 1, 0, 0, 0, 1, 2, 2, -1, 0, 0, 0, -2, -1, 0, 0, 0, -1, 0, 2, 0, 4, 1, 0, 1, 0, 0, -1, 1, 1, 1, -1, 1, 1, -1, -1, 0, 1, 0, 0, -1, 1, 1, 1, 4, 0, 1, -2, -2, 3, 3, 0, -2, 1, -1, 0, 2, 1, 2, -1, 0, 0, -1, -1, 1, 0, 0, 6, 2, -2, 0, 3, 3, 0, 0, 0, 0, 0, 0, -1, 2, 0, 2, 0, -3, -1, 0, 1, 1, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -2, 1, -1, 1, -2, 2, 1, 2, 1, -1, -1, 2, -1, -1, -2, -1, 1, 1, 4, -2, 2, 1, -2, 2, -2, 0, 0, -1, -1, 1, 0, -2, 0, -1, 0, -2, -2, -2, 0, -1, -2, 4, -2, -1, 1, -2, 0, 0, 0, -1, 0, -2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, -2, 4, 2, 0, 2, -2, 1, 0, -1, -1, 2, 1, 0, 0, 1, 0, -2, -2, -2, 0, 2, 1, -1, 2, 4, 0, 1, -1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, -1, -1, -1, 0, -2, -2, 1, 0, 0, 4, -1, 1, 1, 1, -1, 0, -1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, -2, 2, 1, -1, 4, -1, 1, 0, 1, -1, 2, 1, 0, -1, 1, 1, -2, 0, -1, 1, -1, -2, 0, -2, -1, 1, -1, 4, -1, 0, 2, 0, 0, -1, 1, 0, -1, 1, 1, 2, 2, -1, 1, 0, 0, 1, 2, 1, 1, -1, 4, 1, 0, 0, 0, 2, 0, 1, 2, 1, -1, 0, 0, 1, -2, 0, 0, 0, 0, 1, 0, 0, 1, 4, -1, -1, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -1, -1, -1, 1, -1, 1, 2, 0, -1, 6, 2, 2, 0, 1, -1, 2, 0, 1, 1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 0, 0, -1, 2, 4, -1, 1, 1, -1, 2, -1, 1, 0, 0, -1, 2, 1, -2, 2, 1, -1, 2, 0, 0, -1, 2, -1, 4, 0, 0, -1, 1, 0, -1, -1, -1, 1, 1, 0, 0, 1, 2, 0, 1, -1, 2, 0, 0, 1, 0, 4, 1, 0, 2, 1, -1, -1, -1, 1, -1, -2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 4, -1, 1, 1, 1, 2, 1, -1, -1, 0, 1, 0, 0, 1, -1, 0, 1, 0, -1, -1, -1, 0, -1, 4, -1, 1, 0, -1, 1, 0, 2, -1, 0, 1, 2, 1, 1, -1, 2, 0, 2, 2, 1, 2, 1, -1, 6, 0, -1, -1, -1, 2, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, -1, 0, 1, 1, 1, 0, 4, 0, 0, 0, 0, -1, -2, 1, -2, -1, 0, -2, 1, -1, 0, 1, 1, -1, -1, 1, 0, -1, 0, 4, 1, 1, -1, -2, -2, 0, -2, -1, 1, 0, 2, 0, 2, 1, 0, -1, -1, 2, -1, -1, 0, 1, 6, 3, -1, -1, -2, 1, -2, -1, 1, -1, 2, 0, 0, 1, 0, -1, -1, 1, 1, -1, 0, 1, 3, 4, -1, 1, 0, 1, 0, 0, 0, 1, -1, 1, 0, 0, -1, 1, 1, -1, 0, 2, 0, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 0, 1, 4, -2, -1, 2, -1, 0, -1, 0, -1, 0, 1, -1, -1, 1, 1, 0, 1, 0, -1, 1, 1, -1, -2, 4, 0, -2, 1, 1, 1, -1, 0, 0, -1, 0, 2, -1, -2, 1, 1, -1, -1, -1, 1, 1, -1, 0, 4, -1, 2, -2, 1, 2, 1, 0, -1, 1, -1, -2, 0, -2, -2, 1, 2, -2, 0, 1, 2, -2, -1, 4, -2, -1, 0, 0, 0, 0, 0, -1, 0, 2, 2, -1, -1, 1, 1, 1, 0, 1, -1, 1, 2, -2, 4, -1, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, -1, 1, 1, -2, 0, -1, 0, 1, -2, -1, -1, 4, -1, -2, 0, 1, 0, -1, 1, -1, 0, 1, 3, -2, -3, 1, 0, 1, -1, 1, 1, 0, 0, -1, 4, 1, 0, -1, 0, 0, 0, -1, 0, -1, -2, 1, 2, -1, 1, 1, 0, -1, 2, 0, 0, -2, 1, 4, 1, 0, 1, 0, -2, 0, 1, -1, -2, 0, 2, -1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 4, 0, 0, -1, 0, -2, 1, 0, -1, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4, 1, 1, -1, -1, 1, 0, 2, 0, -2, 0, -1, 1, 1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 4, 1, -1, 1, 0, 1, 1, 1, -1, 1, -1, 1, -1, 0, 1, -1, 2, -1, 0, 0, -1, 1, 1, 4, -1, 0, -1, 0, 0, 1, 0, -1, -1, -1, -1, 2, -1, 0, 0, 1, 0, -2, 0, -1, -1, -1, 4, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, -1, -2, 2, -1, -1, -1, 0, -2, -1, 1, 0, 1, 6, 0, 0, -1, 0, 0, 2, -1, 1, 1, -2, 0, 2, -1, 0, 0, 1, 1, 1, 0, -1, -1, 0, 4, -1, -1, 0, 1, 0, 0, -1, 0, 1, -2, -1, -1, 1, -1, -1, 0, 0, 1, 0, 0, 0, -1, 4, 2, -1, -2, 1, 1, -1, 1, 1, -2, -1, -1, 3, -2, -2, -1, 2, 1, 0, 1, -1, -1, 2, 6, -1, -4, 2, 0, 1, 0, -1, 1, 1, 1, -2, 1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 4, 1, 0, 0, 1, -1, -1, 2, 1, 1, -3, 2, 2, 1, -2, -1, 0, -1, 0, 1, -2, -4, 1, 6, -1, 0, -1, 1, -1, -2, 1, -2, 1, -1, -1, -1, 0, 1, -1, 1, 2, 0, 1, 2, 0, -1, 4, -1, 0, 1, 1, 0, 0, 0, 0, 1, -1, 0, -1, -1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, -1, 0, -2, -2, -1, 0, 1, 0, 1, 2, -2, 0, -1, -2, 1, 1, -2, -2, 4, -2, -1, -1, 0, 1, 2, 1, 1, 0, -2, 1, 1, -2, 2, 0, -1, 1, -1, 1, 1, 2, -2, 4, 0, 1, 0, -1, -2, -1, -2, -1, 1, 1, -1, 1, -1, 0, -1, -1, 1, 1, -2, 1, -1, 0, 4, 2, 0, -1, -1, -1, -1, -1, 2, 1, 1, 0, 0, -1, 0, 0, -1, 0, 1, 1, -1, 1, 2, 4, 1, 0, -1, 0, -2, -1, 1, 1, -1, 1, 0, -1, -1, 0, 1, 1, -1, -1, 0, 0, 0, 1, 4, 0, 0, 1, -1, 1, 1, -1, -2, 0, 2, 0, 1, 2, 1, -1, -1, 0, 1, -1, -1, 0, 0, 4, 0, 1, 1, 2, -2, 0, 0, -1, 1, -1, 1, -1, 0, -1, 0, -2, 2, -2, -1, -1, 0, 0, 4, 2, 2, 1, -1, -1, 0, 0, 0, 1, -1, 2, 0, 1, 0, -2, 1, -1, -1, 0, 1, 1, 2, 4, 1, 1, -1, -1, -1, -1, 0, 1, 1, 1, 0, -1, 1, -1, 1, -2, -1, -2, -1, 1, 2, 1, 4, 1, -1, -1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, -1, 1, 2, 1, 1, 1, 4, 0, -2, 0, 0, 1, 1, 2, 0, 0, -2, 0, 1, -2, 1, 2, 1, 1, -2, -1, -1, -1, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, 0, -1, -1, -1, -2, 0, 4, 1, -1, 1, -1, -2, -1, -1, 2, 0, 1, 1, -1, 1, -1, -2, 0, 0, -1, 1, 0, 0, 1, 4, -1, -1, 0, -1, -1, -2, 1, 1, 2, -2, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, -1, -1, 4, -2, 1, -1, 0, 2, 1, -3, -2, 2, -1, 0, 0, 2, 1, 0, 0, -1, 1, 0, 1, -1, -2, 6, -1, 2, 1, 0, -2, 2, 0, 0, 0, -1, -1, 0, -1, 1, 1, 0, 1, 0, -1, 0, 1, -1, 4, 1, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1, 1, -1, 1, 0, 2, 0, -2, -1, -1, 2, 1, 6, 0, 0, -4, 3, -2, 1, -1, 0, 0, 2, -1, 2, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 4, 0, 0, 0, 1, -1, 1, -1, 1, 1, 0, 0, 0, -1, 0, 0, -1, -2, 2, 0, 0, 0, 0, 4, 1, -2, 1, 1, 1, 0, 1, -1, -1, 1, -1, 0, -2, 0, 2, 1, 1, -2, 0, -4, 0, 1, 6, -3, -2, 1, -2, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 1, -3, 2, 0, 3, 0, -2, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 1, 2, -2, 0, -1, 2, -1, 1, 0, 2, 1, 0, 2, 1, -1, 0, 1, 1, 4, 0, 0, 0, -1, 1, -1, 1, -2, 0, 0, -1, 1, -1, -1, 1, 0, 1, -1, 0, 2, 2, 0, 4, -2, -1, 1, 1, -1, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, -1, 1, -2, 0, -2, 4, 2, -2, -1, 1, 0, 0, -2, 1, 0, -1, -2, -1, 1, -2, 0, -1, 0, -1, -1, 0, -1, 2, 4, -1, 1, 2, 0, 0, -1, 2, 0, 1, -1, 1, 2, -1, 0, -2, 0, 1, 1, -1, 1, -2, -1, 4, 1, 0, 1, 1, 2, -1, -1, -1, 1, 1, -2, 0, -1, 2, -1, -1, 2, 1, 1, -1, 1, 1, 4, 0, 1, -1, 2, 0, 0, 1, 1, 1, 1, 1, 1, -2, 0, 2, -2, -1, -1, 1, 2, 0, 0, 4, 1, 1, 0, 2, -1, 1, 0, 1, 1, -2, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 0, -1, 0, -1, -1, 0, 1, -1, 0, -1, -1, -2, 0, 0, 0, 1, -1, 1, 1, 4, -1, 0, 0, -1, 0, 1, -1, -1, 0, 0, -1, -1, 2, 0, 0, -2, -1, 2, 2, 0, 1, -1, 6, -1, 0, 1, 3, 1, 0, 2, 2, -1, 2, 1, -1, 0, -1, 1, 2, -1, 0, 2, 1, 0, -1, 4, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 1, 4, -1, 1, 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, -1, 1, -1, 1, 1, -1, -1, 1, 0, -1, 4, 0, 1, 2, 0, 1, -1, 1, 3, 2, -1, 1, -2, -1, 1, 1, 0, 0, 0, 3, 0, 1, 0, 4, 1, 0, 2, 1, -1, 1, 0, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 0, 0, 1, 1, 4, 1, -1, 0, -1, -1, 2, 0, 1, 0, 1, 2, -2, 1, 1, -1, -1, 0, 1, 0, 2, 0, 1, 4, -1, 1, -2, 1, 3, 2, 0, 0, -2, -1, 0, 1, -2, 0, -1, 2, -1, 1, 0, 2, -1, -1, 6, 2, -1, 1, -1, 1, 1, -1, 0, 0, -1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 4, -3, 1, 1, -1, -1, 0, -1, -2, 2, -2, -1, -1, 0, -1, -1, -1, -1, -1, -1, -2, -1, -3, 6, 0, -2, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 2, 0, 1, 1, 1, -1, 1, 1, 1, 0, 4, 0, 1, 2, 1, -1, 1, -1, 2, 0, -1, -1, 1, 0, 0, 3, 0, 2, 3, -1, 1, -2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 2, 1, 0, 1, -2, 0, 1, 2, -2, -1, -1, -2, 0, 0, 0, 1, 1, 4, 2, -1, -2, 2, 1, -1, 1, 2, 0, -1, 0, 2, 0, -2, 1, 1, -1, 0, 1, 1, 2, 2, 4, -2, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, -1, -1, -1, 0, -1, 1, 1, 0, -1, -1, -2, 4, 0, 0, 0, 0, 1, 0, 1, -1, 1, 1, 1, 0, 0, -1, 2, 0, 1, -1, -1, -2, 0, 0, 4, -2, -1, 0, -1, 0, 0, 1, -1, -1, 0, 1, -1, -1, 0, 0, 0, -1, 1, 2, 0, 0, -2, 4, 2, -1, 0, 1, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, -1, 2, 4, 1, 0, 2, -2, 1, 0, 2, 0, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 1, 4, -1, 0, 0, 1, 1, 0, 0, 0, 1, -2, -1, 0, -1, 0, 0, 1, 1, 1, -1, 0, 0, -1, 4, 1, 0, -1, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 4, -1, 0, 0, 2, 0, -1, 1, 0, 0, -1, 0, 1, -2, 0, -1, 1, 0, -1, -2, 0, 0, -1, 4, -1, 1, 0, 1, -1, 1, 1, 0, 0, 1, 0, 0, -1, -1, -1, 1, -1, 1, 1, -1, 0, -1, 4, 0, -1, 0, 1, 0, -1, -1, 0, -1, -1, 1, 0, 0, 1, -1, 0, 0, 1, 1, 0, 1, 0, 4, 1, 0, -1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, -1, 1, 2, 0, 1, 2, 0, -1, 1, 6, 1, -3, -1, 0, 1, -1, 2, 1, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 4, 0, 0, 1, 0, 0, 1, 0, -1, -2, -1, 0, 1, 0, 0, 0, -1, -1, -1, 1, -1, -3, 0, 4, 0, 0, 0, 1, -1, 0, -1, 1, -1, 0, -1, 0, 0, 1, 0, 1, 1, 0, 0, -1, 0, 0, 4, 0, -1, -1, -1, 1, -2, 1, 0, -1, -1, 1, -1, -2, 0, 0, 1, -1, 0, 0, 1, 0, 0, 6, 1, 1, 1, 1, 0, -1, -1, 2, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 1, -1, 1, 0, 4, 2, -1, 0, 1, 1, 1, 0, 0, 0, -1, 1, 0, 1, -1, 1, 2, 1, -1, -1, 1, 1, 2, 4, -1, 1, 1, 0, -1, -1, 2, 1, 0, -1, 1, 0, -1, 0, 1, 0, 0, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 1, -2, 0, 0, 2, 0, -1, 1, 0, -1, -2, 0, 1, -2, 2, -1, 0, 0, -1, 4, -1, 0, -2, 1, 1, 1, 1, 1, 1, 1, 1, -1, 2, -1, -2, 2, -1, 2, -1, 1, -2, -1, 4, -2, 0, 2, 0, -1, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 2, 0, -2, 4, 0, -1, 1, -1, 1, -1, -1, -1, 1, -2, 0, -1, 1, -2, 1, -2, 1, 1, 1, -2, 0, 0, 6, -3, -2, 0, 0, -2, -2, -1, -2, 2, 1, -1, 1, 1, 0, -3, -1, -3, -2, 1, 2, -1, -3, 6, 2, 1, -1, 2, 1, 0, 0, 0, -1, -1, -2, 0, -1, 2, 1, 2, 0, 1, 0, 1, -2, 2, 4, 0, -1, 2, 1, 0, 2, -2, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, -1, -1, 0, 1, 0, 4, 0, 1, 0, 0, -1, 0, -1, 0, -2, 2, -1, 0, -1, 0, 2, 1, -2, 1, 0, -1, -1, 0, 4, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, -1, -2, 2, 2, 1, 0, 4, 2, 1, 1, -1, -2, 1, -1, 0, 0, 2, 1, 0, -1, 1, 0, -1, -2, 1, 1, 0, -1, 2, 4, 1, 1, -1, -1, 1, -1, 0, 0, 2, 0, 0, 1, 1, 0, -1, -1, 0, 0, 0, 1, 1, 1, 4, 0, 0, -1, 0, 0, -1, 1, 3, -1, 0, 0, 1, 0, 1, -2, 0, 2, -1, 0, 1, 1, 0, 4, -2, 0, 1, 0, -1, 0, 0, 1, 1, -1, -1, 1, -2, 2, 0, -2, 0, 0, -1, -1, 0, -2, 4, 0, 0, 0, 1, -1, 0, 0, -1, -2, 2, 1, 0, 1, -1, -1, -1, 0, -2, -1, -1, 0, 0, 6, -2, -1, 2, -1, 0, -2, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, 1, 0, -2, 4, 1, 0, 0, 0, 1, 0, 1, -2, 0, 1, 1, -2, 0, -2, -1, -1, -1, 0, 0, 0, -1, 1, 4, -2, 1, -1, 1, 0, -2, 2, 0, -2, 1, 0, 0, 2, 0, 0, 0, -1, -1, 1, 2, 0, -2, 6, -1, 0, -1, -1, 2, -1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 1, 0, -1, -1, 0, 1, -1, 4, -1, 0, 0, -1, 2, 1, -2, -3, 2, 0, 0, 0, 2, 2, 3, 0, 0, 0, 0, -1, 0, -1, 6, 0, 1, 0, -1, 0, 1, -1, 1, 1, -1, 0, 1, 0, -1, 1, 0, -2, 1, 1, -1, 0, 0, 4, 0, 0, 1, 0, 1, -3, 2, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 1, -1, 2, -1, -1, 2, -1, 0, -1, 2, -2, 1, -2, -2, 0, 0, -2, 1, 4, -2, 2, -1, 1, -2, 0, 0, -1, 0, 1, -1, -1, 2, -2, -1, 0, -1, -1, 1, 0, -1, -2, 4, -1, 2, -1, 0, -1, 1, 2, -1, -1, -1, 0, -1, 2, 0, 1, 0, -1, 1, 1, 1, 2, -1, 6, -3, -1, -1, 1, 2, 0, -1, 0, 0, -2, 0, -2, 0, 0, -2, 0, -1, 0, -1, -1, 2, -3, 6, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, -1, -1, 0, 4, -1, -1, -1, -2, 2, 1, 0, 1, 0, 0, 1, -2, 0, 0, -1, -1, -1, -2, 0, -1, 1, -1, 4, 1, -1, -1, 0, -1, 1, 1, -2, 1, 0, 0, 2, 1, 0, 1, 2, 0, -1, 1, 0, -1, 1, 4, 0, -1, 1, -1, 0, -1, 0, -1, 1, -1, -1, 0, 1, -1, -1, 0, 1, 2, 0, -1, -1, 0, 4, 1, -1, 1, -1, -1, 0, 0, 1, 1, 0, -1, -1, 0, -1, -1, 2, 0, 0, -2, -1, -1, 1, 4, -1, 0, -1, -1, 0, 1, -1, 2, 0, -1, 1, 0, 2, 0, -1, -1, 1, 2, 0, 1, -1, -1, 4, 0, 0, 1, 1, 0, 1, -1, 0, 0, 0, -2, -1, 1, -1, 0, 1, 1, -1, -1, 1, 0, 0, 4, 1, 1, 1, 0, 1, 1, 1, 1, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 4, 2, 0, 0, 1, 0, 0, 2, -2, 0, -1, -1, 0, -2, 2, 1, 1, -1, -1, -1, 1, 1, 2, 4, -1, 1, 0, 0, 1, 1, 0, 1, 2, 2, -1, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, -1, 6, -1, 1, 1, -1, 0, -1, -2, -2, -2, 2, -2, 2, 0, 1, -1, 0, 1, 0, 0, 0, 1, -1, 4, 1, 1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 1, 0, 1, 1, -1, 1, 1, 1, 0, 1, 1, 4, -1, 0, 1, -2, -1, -2, 0, 1, 0, 1, -2, 0, -1, 1, 2, -1, 1, 0, 0, 1, 1, -1, 4, 1, 0, 1, 1, -2, -1, 0, -2, 2, 0, 2, -1, 0, 0, 0, 1, 0, 1, -1, 1, 0, 1, 4, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 4, -1, 0, 0, 1, 1, -1, 2, -1, 0, 1, -1, 1, 0, -1, -2, 0, -1, 0, -2, 1, 0, -1, 6, 1, -2, 0, 1, 0, 1, -1, 1, -1, 0, 0, -2, 0, 0, 1, -2, 1, -1, 1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, 0, 1, 0, -1, 0, 2, -1, 0, 1, 0, 2, 0, -1, 2, 2, 2, 0, -1, 2, 4, -1, -2, -1, 0, 0, -1, 0, 0, 0, 0, 2, -1, 2, -1, 0, 2, 0, 0, -1, 1, 0, -1, 4, 0, -1, 2, 0, 1, 0, 1, -1, 0, 0, 2, -2, -1, -2, -2, -1, 1, 0, -1, -1, -2, 0, 6, 2, -2, 1, -2, 2, 1, 1, 1, -1, 2, 0, -1, -1, 0, 1, 1, 0, -2, 0, -1, -1, 2, 6, 1, 0, 1, 0, 2, -2, -2, -2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, -2, 1, 6, -1, 3, -2, 1, -2, -2, 1, 0, -1, 1, -2, -1, -2, 1, 0, -1, 0, 0, 0, 1, 0, -1, 4, -2, 2, 0, -1, -1, 0, 1, 2, 0, 0, 2, 2, 0, 0, -2, -1, -1, 1, -2, 1, 3, -2, 6, -1, -1, -1, 0, -1, 0, -3, 1, 1, -3, -1, -1, 2, 1, 0, 0, 0, 2, 0, -2, 2, -1, 4, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, -1, 2, 0, 1, 1, 2, 1, 0, -1, 0, 4, -2, 0, -1, 1, 1, 0, -2, 2, 1, 2, 0, -1, -1, 0, -1, 1, -2, -2, -1, -1, 1, -2, 4, 2, 1, 0, -1, 0, 1, -1, -1, -1, -1, 0, 0, 0, 0, 1, -2, -2, -1, 0, 1, 0, 2, 4, 0, 1, -2, 0, 0, -1, 1, 0, 0, -1, 1, 2, 0, -1, -2, 1, 0, -1, 0, -1, 1, 0, 4, 0, 0, -1, -1, 0, -1, 0, -1, -1, 0, -1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 4, -1, -1, -1, 0, 1, 0, 0, -2, 2, 2, -2, 0, 2, -1, 2, -3, 1, 1, -1, -2, 0, -1, 6, 0, 0, 4, 1, 1, 0, 1, 0, -1, -1, -1, 0, 1, 0, 1, 0, 0, 0, 0, -1, -1, 0, 4, 1, 0, 0, 0, 0, 0, -1, 0, -2, -1, 0, -2, 0, 1, 0, -2, 1, 0, -1, -1, 0, 1, 4, 0, 1, -2, 1, 2, 2, 2, -2, 0, 2, -1, 2, -3, 1, 2, -1, -1, 0, 0, 4, 0, 0, 6, 2, 1, 0, 0, 2, 0, -1, 1, 0, -2, 2, -1, 1, 1, -1, 1, -1, 1, 1, 0, 1, 2, 6, 0, 1, -2, 2, 0, 1, 1, 1, 1, 0, -1, 0, 2, -1, 0, 0, 0, 1, 0, -2, 1, 0, 4, 1, -1, 0, -1, 0, 0, 2, 0, 0, 2, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 4, 0, -1, 1, -1, -2, 1, -1, -2, 1, -1, -1, 0, -1, -1, -2, 1, 0, 2, 0, -2, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, 0, 0, 1, -2, -1, -1, 0, -1, -1, -2, 1, -1, 1, -1, 1, 0, 2, 1, 4, 0, -2, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 0, 0, 1, 1, -2, 0, 1, 1, 2, 0, 4, -1, 0, 1, -1, 0, -2, 1, 1, -1, -2, 0, -2, 0, 0, 0, 0, 1, -1, 1, -1, -2, -1, 4, -1, -2, 0, 0, 0, -1, 1, -1, 0, 0, 1, 1, -1, -1, 2, 0, -1, 0, 2, 0, 0, -1, 4, -1, 0, 0, -1, 0, -2, 1, 1, 0, -1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, -2, -1, 4, 0, -1, 0, 0, 1, 0, 0, 1, 0, -1, 1, -1, -2, -1, 0, 0, 0, -1, -1, 0, 0, 0, 4, 1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 4, -1, 0, -2, -1, 0, -1, -1, 1, 0, 1, 0, 1, -1, 1, -2, 0, -2, 0, -1, 0, 0, -1, 4, 1, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, -2, -1, -1, 1, -1, 0, 0, -1, 0, 1, 4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, -1, -1, -1, 1, 1, -2, 1, -1, -2, 0, 0, 4, 0, -1, 0, 1, 0, -1, -1, 1, -1, 0, -1, 0, 1, -1, -1, 1, 0, 0, -1, 0, 0, 0, 4, 2, 1, 0, -1, 0, 1, 0, 0, 1, 1, -1, 0, -2, 0, 1, 0, 0, 0, 0, 0, -1, 2, 4, 2, 1, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 1, 0, 1, 2, 4, 1, 0, 2, 0, 0, 1, 0, 1, -2, 0, -2, 1, -1, 0, -1, -1, 2, 0, 1, 0, 1, 1, 4, 1, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1, 0, -1, -1, 1, -1, 0, 0, -1, 0, 0, 1, 4, -1, 0, 1, 0, 0, 1, -1, 1, 0, -1, 0, 1, 0, 0, 0, 1, -1, 0, 1, 2, 0, -1, 4, 1, -1, 0, 1, 0, 1, 1, 0, -1, 1, -1, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 4, 0, 1, 1, 1, -1, -2, 0, 2, 0, -2, -1, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 4, 0, -1, 0, 1, 0, 1, 0, 1, -1, -1, 1, 0, 1, -1, 0, 0, 1, -1, 0, 0, 1, 0, 4, 0, 1, 0, 1, -1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 4, -1, 2, 1, 1, 0, 1, 0, 0, 1, -2, -1, -1, 1, 1, 1, -1, 1, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 2, -1, -2, 1, 0, -1, -2, 0, 1, 0, -1, -2, 2, 2, -1, -2, -1, 0, -2, 4, 0, -1, -1, 2, 2, -1, -1, 1, 2, -1, -2, 1, 0, 0, -1, -2, 1, 2, 1, 1, 0, 0, 4, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, -2, -1, 2, 1, 1, 1, -1, 0, 4, -1, 0, 0, 0, 2, -1, -1, -1, 1, -1, 1, -2, -1, 2, 1, -2, 0, -1, 2, -1, 1, -1, 6, -2, -1, 2, -2, -2, -2, 1, 0, 2, -1, -2, 1, 1, -3, -1, -2, 2, -1, 2, 2, 0, -2, 6, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, -2, 1, 2, 1, 1, -2, 2, 0, 0, -1, 0, 4, -2, 1, 1, 0, 0, -2, 1, 0, 0, -2, 0, 1, 0, 1, 0, 1, -1, 0, 0, 2, 0, -2, 4, -2, -2, 0, 0, 1, 1, 0, 0, 1, 0, -2, 0, -2, 0, 0, -1, 0, 2, -2, 0, 1, -2, 4, 1, -1, 0, 0, -1, 1, -1, -1, 1, 2, -1, 1, -1, -1, 1, 1, -1, -2, 1, 1, -2, 1, 4, 1, 0, 0, -1, 1, 2, 0, -2, 1, 2, 1, -1, -2, 2, 0, -1, -2, 2, 0, 0, -1, 1, 4, -1, 0, -1, 1, 1, -1, -2, 1, 2, 1, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 0, -1, 4, 0, 1, 0, 0, 1, 1, 0, -1, -1, 0, 1, -2, 1, 1, 0, 1, -2, 1, 0, 0, 0, 0, 4, -1, 1, 1, 1, 0, -1, 0, 0, 0, 0, 1, 1, -1, 2, 1, 1, 1, -1, -1, -1, 1, -1, 4, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 2, 1, -1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 4, 1, -1, -2, 0, 1, 1, 0, -2, 0, 1, -2, -2, 1, 0, 0, -1, 2, 1, 0, 1, 0, 1, 6, 1, -3, -1, 3, 1, 0, 2, -1, 0, -1, 1, 1, -2, 1, -1, 0, -1, 1, 1, 0, -1, 1, 4, 0, -1, 0, -1, 1, 2, -2, -2, 2, 1, -2, 0, 0, 1, -2, -2, 1, 0, 0, -2, -3, 0, 6, 1, -4, -1, -1, -1, 1, -1, 1, -3, 1, 1, -2, 2, 1, 1, 0, -1, -1, 0, -1, -1, 1, 4, -1, 1, -1, -2, 2, 2, -2, -1, 2, 0, 0, -1, 2, 2, -1, 0, 0, 1, 3, 0, -4, -1, 6, 2, 1, -1, 1, 1, 0, -2, 1, 1, -2, 1, 1, 1, -1, 0, 0, 1, 1, -1, -1, 1, 2, 4, 0, 0, 1, 1, -1, 2, 1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 1, -1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, -1, -2, 0, 0, -1, 0, 1, 2, 1, 2, 1, 0, -2, -1, -1, 1, 1, 0, 1, 4, -1, -1, 1, -1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, -1, 1, 0, -1, 4, 1, -2, -1, -1, 1, 0, -1, 0, -1, -1, -2, -2, -1, -1, -2, -1, 0, 0, 1, -2, -1, 1, 4, -1, 2, 1, -1, 1, 1, 0, 0, 0, -2, -2, -1, 1, -1, -1, 0, -1, -1, -1, 1, -2, -1, 4, 1, -1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 2, 2, 1, 0, -1, 0, -2, -1, -1, 2, 1, 4, 0, -2, 1, 0, -1, 0, 0, 0, 0, 0, 2, 0, 1, -1, -1, -2, 0, 0, -1, 1, -1, 0, 4, -1, 0, 1, 1, 2, 0, 0, -1, 1, -1, 1, 0, 1, 0, -1, 0, 0, 1, -1, -1, -2, -1, 4, -1, 0, 0, -2, 1, 0, 1, 1, -1, 0, -1, 0, 0, 2, -1, 0, 0, 1, 0, 1, 0, -1, 4, 0, -2, 1, 0, -2, 1, -2, 1, 0, 0, -2, -1, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 4, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, -2, 0, 4, 0, 0, 0, 0, 1, -1, 0, -1, 2, 0, 1, 2, 2, -1, 0, -1, 0, 2, -2, 1, 0, 0, 6, 1, 1, 0, -1, 0, 0, 0, 0, -1, -2, 1, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 4, 0, 2, 0, 0, -1, 0, 0, 0, 0, 2, 2, -2, -2, 1, 0, 0, 0, -2, 1, 0, 1, 0, 6, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, -2, -2, 1, 0, -1, 1, 1, 0, 0, 0, 2, 1, 6, 0, 0, 0, 1, 0, -1, 1, 0, 0, -1, -1, 0, 0, 1, 1, -2, 0, 1, -1, 0, 2, 0, 4, 0, 1, 0, 1, 1, 1, -2, 1, -1, 1, 2, 2, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 4, 1, 1, -1, -1, 0, -1, 1, -2, -1, 2, 0, 1, 0, 0, 1, 0, 0, -1, 1, 0, 1, 1, 4, 1, 0, 0, 0, -1, 0, -1, -1, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 1, 1, 4, -1, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, -2, 0, 2, 0, 0, 1, 0, 1, -1, 0, -1, 4, 1, 1, 1, -1, 0, -1, -1, -1, 0, 0, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 0, 1, 4, 0, 0, 1, 1, -1, 0, -2, -1, 2, -1, 0, 1, -2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, 1, 0, 1, 0, 0, -1, -1, 2, 1, 1, 1, 0, 1, -1, -1, -1, 0, 2, 4, -2, -1, -1, 0, -1, 0, -1, -1, 0, 0, 2, -1, 1, 0, -1, 1, -1, 0, -1, 1, -2, -2, 4, 1, 2, -1, -1, -1, 0, -1, 0, 0, -2, 1, -1, -1, 1, -1, 2, 0, 2, 0, 0, -1, 1, 4, 2, 1, -1, 1, 0, -1, -2, -2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, -1, -1, 2, 2, 4, 1, -2, 1, 0, -2, 0, 0, -1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, -1, 1, 1, 4, 0, 1, -1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, -1, -1, -1, -2, 0, 4, 0, 1, 2, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, -1, 0, 1, 0, -1, 1, 1, 1, 0, 4, 1, 0, -1, -1, 0, 0, 0, 2, 0, 0, -2, -1, 0, 1, 0, -1, 0, 0, 0, -1, 1, 1, 4, 0, -1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -2, 0, 2, 0, 0, 4, 0, 1, 0, -1, -1, 0, -1, 0, -1, 1, -1, -1, -1, 0, 0, -2, 0, 0, 1, -1, -1, 0, 4, 2, -1, -1, 0, 0, 0, 0, 1, 1, -2, 0, -1, 0, 0, -2, 0, 0, 1, -1, 0, 1, 2, 4, -1, -1, 0, -1, 0, 1, 0, 1, -2, -1, 2, 2, -2, 0, -1, 0, -1, 0, 0, 0, -1, -1, 4, 1, 1, 0, -1, 1, -1, 0, 0, 0, 1, -1, 1, 2, 2, 2, -1, 0, 1, -1, -1, -1, 1, 6, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, -1, 1, 1, 2, 0, 0, 0, -1, 0, 0, 1, 1, 4, 0, 1, 2, 0, 1, 1, 0, 1, 0, -1, 1, 1, 1, -1, 2, -1, 0, 0, -1, 0, 0, 0, 4, 1, 0, -1, -1, -1, 1, 0, -1, 1, 2, 2, 0, 0, 0, 1, -1, 0, 0, -1, 1, 1, 1, 4, 1, 1, 0, 0, 0, 1, 1, -1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 4, 0, 2, 0, 0, -1, -1, 2, 0, 1, 0, -1, -2, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, 4, 0, 1, -1, -1, 0, 0, 0, 0, 1, 1, -1, 0, 1, 1, 1, 0, 1, 1, -1, 0, 2, 0, 4, 1, 0, -1, -1, 2, 2, 1, 1, -1, 0, 0, -1, -2, -2, 0, 1, 1, -1, 0, 0, 1, 1, 6, 0, 0, 1, 0, 1, 0, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 2, 2, -1, 1, 1, 1, 0, 1, 1, -2, 0, 1, 1, 1, -1, 0, 2, 1, 4, -2, -1, 2, -1, 1, 1, 0, 1, 1, 0, -1, 1, -1, 0, -1, 0, 2, 0, 0, 1, -1, -2, 4, 0, 0, 0, -1, -1, 0, -2, 0, 0, 1, 0, 2, -1, 1, 0, -2, 0, -1, 0, 1, -1, 0, 4, -2, 2, 1, 0, 0, -1, 0, -1, 2, 1, -2, -1, -1, 1, 0, -1, 1, 0, 1, 2, 0, -2, 4, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, -1, 0, 1, -1, 1, 2, -1, 0, 2, 0, 4, 2, -1, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 1, 2, 1, -1, 1, 1, 2, 4, -1, 1, 0, 0, -1, 1, 1, -2, 0, 0, -1, 0, 1, -1, 1, -1, 1, -1, 0, 0, -1, -1, 4, -2, 0, 1, -1, 0, -1, 1, -1, -2, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, -2, 4, 1, -1, -1, 0, 0, -1, 0, 1, -1, 0, 1, -1, 0, 1, 1, -2, -1, 0, 0, 0, 0, 1, 4, -1, 1, -1, -1, -1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, -1, -1, 4, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, 1, 0, 0, 0, -1, 0, 0, -1, -1, -1, 1, 0, 4, -2, 1, 1, 0, 0, 1, 0, -1, 1, 0, 1, -1, 1, 2, 0, 1, 1, 0, 0, -1, 0, -2, 4, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, -1, 0, -1, 0, 1, 0, 4, 0, -1, 0, 1, 1, -1, 0, 0, -2, -1, 2, -2, 1, -1, -2, 1, -1, -1, -1, 1, -1, 0, 6, 0, 1, 0, -2, 0, -2, -2, 0, 0, -1, -1, 0, -1, 0, -1, 0, 1, -1, 0, 0, -1, 0, 4, 2, -1, 0, 1, 0, 1, 1, -1, 1, -1, 0, 0, 0, -2, 1, 0, -1, 0, 0, 0, 1, 2, 4, 0, 0, 0, -1, 1, 1, 0, 0, 1, -1, 0, -1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 0, 4, 1, -2, 1, 0, 1, 2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -2, 0, 0, 1, 4, -1, 1, 1, -1, 0, 0, -1, 1, 0, 1, -1, 1, 0, -1, -1, 0, -1, 0, 1, 0, -2, -1, 4, 0, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 0, 1, 1, 0, 0, -2, 0, -1, 1, 1, 0, 4, 0, 2, 1, 0, 0, 1, 1, 1, -1, 0, 1, 1, 0, 1, 0, -2, 1, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, 0, -1, 0, 1, 2, -1, -2, 1, 2, -1, 1, -2, -1, 1, -2, 0, 0, -2, -1, 4, -1, 0, 1, 0, -1, 1, 0, 2, 2, -1, -1, 1, 1, 1, -1, -2, 2, 1, -1, -1, 0, -1, 4, -1, -2, 0, -1, -1, 0, -2, -1, 1, 0, -2, -2, 1, -1, 0, -1, -1, 1, -1, -1, 0, -1, 4, 0, 2, 0, -1, -1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, -1, 1, 0, 1, -2, 0, 4, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, -1, 0, 1, -1, -1, -1, 0, 0, 2, -1, 4, -1, 0, -1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, -1, 0, 0, 0, -1, -1, 0, 0, -1, 4, 0, 0, -1, -1, -1, 0, 0, 1, -2, 1, 1, -1, 0, -1, 1, 1, 1, -1, -1, 0, 0, 0, 4, 0, 2, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 2, 0, 0, -1, 0, -1, 0, 0, 4, -2, -2, 0, 0, -1, 2, -2, -2, 0, 0, 0, 0, 0, -1, 2, -2, 1, 0, 2, -1, 2, -2, 6, 2, -1, 0, 1, 0, 1, 2, -1, 1, 0, -1, 1, -2, 2, -1, 1, 1, 1, -1, 0, -2, 2, 4, -1, -1, 2, -1, 2, 1, -1, 2, 0, -1, 0, 1, -1, 1, 0, 0, 1, -1, -1, 0, -1, -1, 4, 0, 0, 1, 0, 0, 1, -1, 0, 1, -2, 2, -1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 4, 0, 0, 0, 0, 1, -2, 0, -1, -1, -1, 1, -2, 2, 1, 1, 0, 0, -1, 1, 2, 0, 0, 4, 1, 1, 1, 0, 1, 1, -1, 1, 1, 1, -2, 1, 0, 1, 1, 0, 2, 0, -1, 1, 0, 1, 6, -1, -1, 1, 1, 1, 0, -1, -2, 1, 1, 1, 0, 1, -2, 0, -2, 1, 2, 0, 0, 1, -1, 4, 0, -1, 1, 1, 0, 0, -1, -1, -1, 2, 0, 1, 1, 0, -2, 2, 1, 0, 0, 1, -1, 0, 4, 0, 0, 0, -1, 2, 1, -2, 0, 0, -1, 1, 1, -1, 0, -1, -1, 1, 1, 0, 1, -1, 0, 4, -1, -1, 1, 0, -2, 2, -1, 1, 0, 1, -1, 0, 0, 1, 2, -1, -2, 1, 1, 1, 0, -1, 4, 0, 0, 1, 0, 1, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, 4, 0, 0, 0, -1, 1, -1, -1, 0, -1, -1, 0, -1, -1, 1, -1, -1, 0, 0, -1, 1, 0, 0, 4, -1, -2, -1, -1, 1, -1, 0, 1, 0, 0, 1, 0, -2, -1, 1, -1, 0, 2, 0, 1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 0, 1, -2, 1, -1, 0, 1, 2, 1, -1, 0, 2, 1, 0, 1, 0, -1, -2, -2, 4, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, -1, 0, 1, -1, -1, 0, -1, 0, 1, 0, -2, 0, 4, -1, -1, -2, 2, -1, 1, 1, -1, 0, -1, 1, 0, -2, 1, 1, 0, -1, 1, 2, 0, 1, -1, 4, 0, -1, 1, 0, 0, 0, 0, 0, 1, -2, 0, 1, -1, 0, -1, 0, -1, 1, 0, 0, -1, 0, 4, 2, -1, -1, 0, 0, 1, -1, 0, 0, 1, 1, 1, 1, -1, 2, 0, 1, 1, 1, -2, -1, 2, 6, -3, 0, -1, 1, 0, 1, 1, 1, 2, 0, 0, 0, -1, 0, 0, -1, -2, 1, 2, 1, -1, -3, 6, 1, 0, 1, 1, -2, 0, 0, -2, 0, -1, 0, 1, 0, 1, 3, 1, 0, -1, 0, -1, 0, 1, 4, -2, 0, 2, 1, 0, -1, 0, 1, 0, -2, 2, -1, 1, -1, -1, 1, 1, 0, 0, -1, 0, -2, 4, -1, -1, -1, -1, 1, 0, 0, -1, 0, -1, 0, -1, 1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 4, -1, 1, 1, 0, 1, -1, 1, 1, 1, -1, 0, 1, 1, 0, -1, 0, 1, 0, 1, 2, -1, -1, 4, 0, 0, 0, -1, 1, 0, -1, 1, 1, 1, -1, 2, -1, 0, 0, -1, 1, -2, 1, -1, 1, 0, 4, 1, -1, 1, 0, 1, 0, 1, -2, 0, -2, 1, -1, -1, 1, 0, 1, 0, 0, -1, 1, 0, 1, 4, -1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, -2, 0, 1, 0, -1, 1, 0, 0, -1, -1, 4, -1, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, 2, -2, 0, 0, 1, -1, 1, 0, -1, 4, 0, 1, 0, 0, 0, 1, -1, 2, -1, -2, 1, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, 0, 4, -1, 0, 0, 1, -1, 0, 1, -1, 1, -1, 1, 0, -1, 0, -1, 1, 0, 1, 0, -1, 1, -1, 4, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 1, -1, 0, -1, 0, 0, 0, 1, 4, -1, 1, 0, 1, 1, -1, 0, -1, -1, -1, 1, 2, -1, 1, 1, 1, 1, -1, 0, 0, 1, -1, 4, -1, 1, -1, 0, 0, -1, 0, 2, 0, 0, -1, 0, -1, 1, -2, 0, 0, 0, 1, 0, 1, -1, 4, 1, 0, -1, 1, 1, -1, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, 1, 1, 4, -1, -2, 0, 2, 1, 1, -1, 3, -1, 1, 1, -1, -2, 0, 1, -1, 0, 0, 1, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, -2, 2, 0, 0, 1, -2, -1, 1, 0, 0, -1, -1, -1, 1, 2, -2, 1, 1, 4, 0, -2, 0, -1, 1, 1, 0, 2, -2, 0, 1, -1, 1, -1, -1, -2, -1, 1, -1, 1, -1, 0, 4, 2, -2, 1, 1, -1, 1, 0, 2, 1, -2, 1, -1, 1, 0, 0, 1, -2, 0, 1, -2, -2, 2, 6, 0, 2, 0, 0, 1, 0, 3, 2, -2, 0, -1, 2, 2, 0, 2, 0, 2, 0, 1, 0, -2, 0, 4, 0, 0, 1, -1, 1, 0, 0, 1, -1, 1, -1, -1, 0, 0, 1, -1, 0, -2, -1, 1, 2, 0, 4, -2, 1, 1, -1, 3, 2, -2, 0, 1, 2, 1, 1, -1, -1, 2, -1, 2, 1, 1, 0, 0, -2, 4, 0, 0, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 0, -1, 2, 0, 1, -1, 0, 1, 1, 0, 4, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 1, 2, 0, 0, 0, 1, 1, -1, 1, 0, -1, 4, -1, 1, 0, -1, 1, 1, 0, 2, -1, 1, 1, -1, 0, 1, 2, 0, 0, 1, -1, 1, 0, -1, 4, -2, 0, 1, -2, 0, 0, -1, -2, 0, 1, 0, 0, -2, -2, 2, 3, 0, 3, -1, 1, 1, -2, 6, 2, -3, 2, -1, 1, 0, 1, 0, -2, 1, -1, -1, 0, 1, 2, 0, 2, -1, 0, 0, 0, 2, 4, -2, -1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, -2, -2, 1, -2, 1, 0, -1, 1, -3, -2, 4, 0, 1, -2, -1, -1, -1, 0, 0, 1, 0, -1, 1, 0, -1, 0, 1, 0, 1, -2, 2, -1, 0, 4, -1, -1, 0, 0, 0, -2, 0, 0, 0, 1, -1, -1, 1, 1, -1, 0, 1, 0, -1, 0, 1, -1, 4, -1, 0, -1, -1, 1, -1, 0, -1, -1, 1, 2, -1, 2, -1, 0, 0, 0, 1, 2, -2, -1, -1, 4, 2, 1, 0, 0, 2, 0, -1, -1, 0, 2, -1, 1, -1, -1, 2, -1, 0, 1, -1, 0, 0, 2, 4, 0, 1, 1, 1, 0, -1, -2, 0, 0, 0, 1, -1, 0, -1, -2, 1, 0, -1, 0, -1, 1, 0, 4, 0, -1, 1, 0, 1, -1, 1, 2, 0, -1, 1, -1, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 4, 1, -1, 1, 2, 1, -2, 0, 1, -1, 0, 1, 1, 1, -2, 0, 0, -2, 1, 0, 1, -1, 1, 6, 0, 0, -2, -1, 0, 2, -1, 2, -1, 2, -1, 0, 1, 1, 0, 0, -1, 2, 1, 1, -1, 0, 6, -1, 1, 1, 1, 0, 0, -1, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -2, 1, 0, 1, -1, 1, -2, -2, -1, 1, -1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 4, -1, 0, 0, 0, 0, -1, 1, -1, -2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, -1, 4, 1, 1, 0, 1, 2, 1, 1, -1, 1, 1, 0, 0, -1, -1, -1, -1, 2, 1, 0, -2, 0, 1, 6, 1, -2, 0, 2, 1, 2, 0, 3, -1, 1, 1, -2, 2, -1, -2, 2, 2, 1, 1, 0, 1, 1, 4, 0, 1, 1, 2, 0, -2, 0, 1, 1, 1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 4, 1, 0, -1, 1, -1, -1, -1, -1, 0, 1, -2, 0, 0, -1, -1, -1, 1, 0, 1, 0, 1, 1, 4, 2, 0, 0, 0, 1, 0, 0, -1, -1, 0, -1, -1, 0, 0, 1, -1, -1, 2, 2, 1, 0, 2, 4, 1, 2, 1, 2, 0, 0, 0, -2, 0, -2, -2, 0, 1, 0, 1, 1, 1, 1, 2, -1, 0, 1, 4, 0, -2, 0, 2, 1, 2, 0, 0, 1, -1, 0, 2, 1, -2, -1, 1, 2, 0, 1, 0, 2, 0, 4, 1, 1, -1, -1, 0, -1, 0, -1, -1, 0, 1, -1, -2, -2, -1, 0, -2, -1, 0, 1, -2, 1, 6, 0, -1, -1, -1, -1, 0, -2, -1, 0, 0, -1, -1, 0, 1, 3, 0, -1, 1, 2, 0, 1, 0, 4, 0, 0, -1, -2, 2, -1, -1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 0, 0, 2, -1, -1, 0, 4, 0, 1, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 0, 0, 1, -1, -1, 0, 0, 4, 0, 1, 0, 0, -1, -1, 0, 2, 0, 1, 0, 1, 1, 0, -1, 0, 2, 0, -1, -1, 1, 0, 4, 0, -1, 0, 0, 1, 1, 1, 0, 1, -1, -2, -1, 1, -1, -2, 0, -1, -1, -2, 0, 1, 0, 4, 0, 1, 0, -1, 0, 1, 0, 1, -1, 2, -1, -2, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 4, 0, 0, 0, 1, 1, 2, 2, -1, -1, 1, 0, -1, -2, 1, -1, -2, -1, 0, 0, 0, 1, 0, 4, 1, 0, 1, 0, 1, 0, -1, -2, 0, 0, -1, -2, -1, -1, -1, -1, 1, -1, 0, 0, 0, 1, 4, -1, -2, 0, 1, 0, 2, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, -1, 6, 3, 0, 1, 2, 1, 2, 0, -1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, -2, 3, 6, 0, 0, 1, 0, 1, 1, -1, 1, 0, 1, -1, -1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -1, -2, 1, -1, 0, -2, -1, -1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, -2, 4, 1, -1, -1, 2, 1, 0, 1, 2, 1, -1, -2, 0, -1, 1, -1, 0, -2, 0, 1, -1, 0, 1, 4, 1, -1, 0, 2, 0, 1, 0, 0, -1, 0, 0, 0, 2, 0, -1, -1, 0, 1, 0, 1, -1, 1, 4, 1, 0, -1, 1, 1, 0, -1, -1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 1, -1, -1, -1, 1, 4, 1, -1, 0, -1, 1, 1, 1, -1, 0, 0, -2, -2, 1, 0, 0, -1, 1, -2, 2, 0, 0, 1, 4, -1, 1, 0, 2, 0, -1, -2, 0, -1, 0, -2, 0, -2, -1, 0, -1, 1, 1, 2, -1, -1, -1, 6, 0, -1, -1, 1, 0, 1, 0, 1, 1, 2, -2, 0, 2, -1, -1, -1, 0, 0, 1, 0, 1, 0, 4, 0, 0, -1, 1, 0, -2, 1, 1, -1, -1, 0, -1, 0, -1, 0, 1, 1, 1, -1, 0, -1, 0, 4, 0, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, -2, 2, 0, 0, 1, 2, -1, 0, 0, 4, 0, 0, -2, -1, 0, 0, -2, 0, -2, 0, 0, 1, -1, 1, 0, -1, 1, 0, 1, -1, -1, 0, 4, 1, 0, 1, -1, -1, 0, 0, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 0, 1, -1, 0, 1, 4, 0, 0, 2, -1, 0, 0, 0, 0, -1, 0, 2, -2, 0, 0, -1, -2, 1, 0, 0, -2, 0, 0, 4, 0, 1, 1, 2, -1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, -2, 0, -1, 1, 0, 0, 4, 0, -1, 1, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, 1, 1, -1, 0, -1, 2, 1, 0, 4, 0, 0, -1, 1, 0, -2, 1, 0, 1, 2, 0, -2, 0, 1, 1, 1, 0, -1, -1, 1, -1, 0, 4, 1, -1, -1, 0, 1, 0, 2, -1, 0, -1, -2, -2, 2, -1, 0, -2, 0, 0, 2, 1, 0, 1, 4, -1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, -2, -1, 0, 0, 0, 0, -1, 1, -1, -1, -1, 4, 0, -1, 1, 1, 1, -2, -1, 0, 0, -2, 0, 0, 0, -2, -1, 0, 1, 0, 1, -1, 1, 0, 4, 0, -1, 1, 0, 0, 0, -1, 0, -1, 2, -1, 0, 0, 1, 0, 1, -1, 0, 0, 1, -1, 0, 4, 0, 0, 0, 1, 1, 1, -1, 0, -1, 0, 1, 0, 1, -1, 0, 0, -2, 1, 0, 1, -1, 0, 4, -1, 0, -1, 0, 1, 1, -1, -1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, 1, 1, 2, -1, 2, 1, 0, 1, 1, 2, -1, 0, 2, 0, 2, -1, 1, 0, -2, 4, -2, -2, -1, -2, -1, 0, -2, 1, 1, -2, -2, 0, 0, 0, -1, 0, -2, 2, -2, 0, 2, -2, 4, 2, 0, 1, 1, 0, 2, -1, 0, 2, 2, 1, 0, -1, 1, -1, 2, -2, 0, 1, 2, -2, 2, 6, 0, -1, 2, -1, 1, -1, -2, 1, 3, 2, -1, -1, 0, -2, 2, -3, 3, 0, 1, -1, 0, 0, 4, 1, 2, 1, 2, -1, -1, 0, 1, -1, 1, -1, -1, 2, -1, 1, 0, 1, 1, -2, 1, -1, 1, 6, 2, 2, 1, -1, 1, 0, 1, 1, 2, 1, 2, 1, 1, -2, -2, 2, 2, -1, 1, 2, 2, 2, 6, 2, 2, -2, 0, 0, 1, 3, 1, 1, 0, -1, 1, -2, -1, 2, -1, 0, 0, -1, 1, 2, 2, 4, 1, -2, 1, 0, 0, 1, 2, 1, -1, 0, -1, 0, -2, 2, 2, -2, 2, 1, 2, 1, 2, 1, 4, -1, -1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, -1, -1, -1, -1, -2, -2, -1, 4, 1, -1, -2, 0, -2, 0, 1, 1, 0, 1, 1, -1, 0, 1, 0, -2, -1, 1, 0, 1, -1, 1, 4, 0, -1, 2, -1, 0, 1, 0, 0, 0, -1, 0, 1, -2, 2, 1, 0, 0, 0, 0, 1, -1, 0, 4, 2, 0, -1, -1, 1, 0, 1, 0, 1, -1, 1, -2, 2, 3, 1, 1, 1, 0, 2, -2, -1, 2, 6, 1, 0, -2, 1, 0, 2, -2, 1, 0, 2, 0, 1, 2, -1, 1, 3, 1, 0, 0, 2, 0, 1, 6, -1, 1, 2, -2, 2, -2, 0, 1, -1, 0, 0, -1, 1, 2, 1, 2, 1, -2, -1, -1, 0, -1, 4, 1, -1, 0, -1, 0, -2, 2, 0, 0, -1, -1, -1, 1, 1, 1, 0, 0, 0, -1, -2, 1, 1, 4, 1, -1, 0, 0, -1, 1, 2, -1, 1, 0, -1, 2, 0, -1, 0, 1, 1, 1, 1, 2, -1, 1, 4, 0, 2, -1, 0, 0, 0, 0, -1, -2, 2, 1, -1, 0, 0, 1, 0, 0, 0, -2, 0, -1, 0, 4, -1, 2, 0, 0, 2, -2, 2, 2, -1, 1, 1, -1, 1, 0, 0, 1, 2, 2, -1, 0, 2, -1, 4, -3, 1, 0, -1, 2, -2, -3, 1, -2, -2, 0, 0, 1, 0, 0, -2, -2, 0, 0, -1, 2, -3, 6, 0, -1, 1, -2, 0, 3, 0, -2, -1, -2, 0, 1, -1, 1, 1, 0, -2, -1, 0, 0, 1, 0, 6, -2, 0, 0, 1, 0, 1, 2, 2, 2, 1, -1, 0, -1, 0, 1, 2, 1, 0, 0, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, -1, -1, 0, -1, 1, -1, 0, 1, 2, 1, 0, -2, 0, -2, 0, 0, -1, 0, 0, 4, -2, -1, 2, 2, 0, 2, 2, -1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, -1, 1, 0, -2, 4, -1, -2, 0, -1, -1, -2, 2, -1, -1, -1, -1, 1, 1, 0, 1, 1, 0, 1, -1, 2, -1, -1, 4, -1, -2, 0, -1, 0, -2, 0, 1, 1, 0, -1, -2, 1, -2, -1, 0, -1, -1, -1, 2, -2, -1, 6, 2, 0, 2, 0, -2, 0, 2, -1, 2, -2, 2, 0, 0, 0, -1, 0, 0, -1, 2, 0, -2, 2, 6, -2, 2, 1, -1, -2, 2, 1, 1, 0, 0, -2, 2, 1, -2, -1, 0, 0, 0, -1, 0, 0, -2, 4, 1, 1, 1, 2, -1, -1, 1, 1, -1, 0, -1, 0, 2, 0, 1, -1, 2, -1, -1, 2, 2, 1, 4, 1, 0, 0, 1, -1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 1, 2, -2, 0, 0, 1, 1, 1, 6, 1, -1, 2, 1, 0, 1, -1, 0, -1, -1, -1, 0, 0, -1, -1, 2, -2, -2, -1, 1, 0, 1, 6, -1, -1, -1, -1, 2, 2, 1, 1, 1, 0, 1, -1, 0, 0, -1, 0, 0, -2, 2, 0, -1, -1, 4, -1, -1, 1, 0, -1, -1, -1, 0, 2, 0, 1, 1, 1, -1, 1, 2, 2, -1, 1, 2, -1, -1, 4, 1, 1, -1, 0, 0, -1, 0, -2, -1, -1, 2, 0, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 4, 0, 0, -2, -1, -1, 0, -1, -1, 1, 1, 2, -1, 0, 2, 1, 1, 1, 0, -1, 1, 1, 0, 4, 0, 0, -1, 0, 2, 0, -1, 1, 0, 0, 1, -1, -2, 0, 1, 1, 1, 2, 0, -1, 0, 0, 4, 0, -1, 0, 1, 1, 1, 1, -2, 1, 1, -2, 2, 0, -1, 0, -1, 2, -1, 0, -2, 0, 0, 6, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 1, -1, 0, -1, -1, -1, 1, 4, 0, -1, 0, 0, -1, -2, 1, 1, -2, 0, 2, -1, 1, -1, 1, -1, -1, -1, 0, 0, 1, 0, 4, 1, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 2, 1, 2, -1, 1, 4, 0, 0, 1, 0, 0, 0, 0, -1, -2, 2, 0, -1, 0, 2, -2, -1, 0, 1, 0, 0, 0, 0, 4, 1, 1, -1, -1, 1, -1, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, 1, 2, 0, 0, 0, 1, 4, 0, 0, 1, -1, -1, 0, 0, 1, 0, 0, -1, 1, -1, 1, 1, 1, 0, -1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, 1, 1, 0, 2, 1, 2, -1, -1, 0, -1, 1, 1, -1, 1, 1, -1, 0, 1, 4, 0, -2, 2, 2, 1, 0, 0, 0, -1, -2, 0, -1, -1, -1, -1, -2, 0, 2, 1, 0, 2, 0, 4, -1, 1, 0, -1, 0, 0, 1, 1, -1, -1, 1, 0, 1, 2, 0, 0, 1, -1, 1, -1, -2, -1, 4, -2, -1, 1, 0, -1, -1, 1, 0, 0, 1, 0, 1, 0, 1, 0, -2, -1, 1, 2, 2, 1, -2, 4, 2, 1, 0, 2, 1, 0, -1, 0, -1, 0, 0, -1, -2, 0, 2, 1, 0, 1, 2, 0, -1, 2, 4, 2, -1, 0, -1, -1, -1, -1, 0, -1, -1, -1, -2, 1, 1, 1, 1, 1, 1, -1, 1, 1, 2, 6, -1, -1, 1, 0, -2, -1, -2, 0, 0, -2, 0, -1, 1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 4, 2, 0, 0, 0, -1, 0, -1, 2, 0, -1, 0, 0, 1, 0, 2, 0, 0, -1, 2, 0, -1, 2, 6, 1, 2, 1, 0, 0, -1, 1, 1, -1, 1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 1, 4, 1, -1, 1, -1, 0, 1, 0, 1, -2, 1, 0, -1, 2, -1, 1, 1, 0, -1, 0, 0, 2, 1, 4, 0, 0, 0, -1, 1, 2, 1, 1, -1, -1, 0, -1, -2, -1, 0, -1, -1, -2, 0, 1, -1, 0, 4, 1, 0, 0, -1, 1, 1, 1, -2, -1, -1, -1, 0, -1, 0, 0, -1, -1, -1, 0, 1, 0, 1, 4, -1, 1, -1, 0, 0, 0, 0, -1, 0, 0, -1, 1, 1, -1, 0, -2, 0, 0, -1, 0, 0, -1, 4, -1, 1, 1, 0, 0, -1, -1, 2, -1, -1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 1, -1, 4, -1, -1, 0, 0, 1, 0, 0, 1, -1, 1, 1, 0, -1, 0, 2, 1, 1, 1, -1, -1, 1, -1, 4, 1, 0, -1, 0, 0, 1, 1, -1, 2, 0, -1, -1, -2, 0, 1, 0, 2, 1, 0, 1, -1, 1, 4, 1, 1, -1, -1, 1, -1, -2, 0, 1, -2, -2, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, 1, 4, -1, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, -2, 1, 1, 0, 0, 0, -1, 1, -1, 4, -1, -1, 1, 1, 2, 1, -2, 2, 1, 1, 0, 0, 1, -1, -2, 0, -1, 1, 0, -1, -1, -1, 4, 2, 0, -1, 1, -1, -1, 1, 1, 2, 1, 1, 0, -1, -1, -1, -1, 0, 0, -1, 0, -1, 2, 6, -1, 0, 0, 1, 1, 0, 1, -1, 0, 0, -1, 0, -1, 0, 2, 0, 1, 1, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, -1, -1, 0, 2, -1, 2, -1, 1, 2, 2, -1, 0, 0, 1, 1, -1, 1, 0, -1, 4, 1, -1, 0, 1, 1, -2, 2, -1, 1, 1, 1, 1, 2, 0, 1, 0, 1, -1, 0, 0, 1, 1, 4, 0, 1, 0, 0, 1, -1, 1, 0, 2, 1, 1, -1, 0, 1, 1, 0, -2, 0, 0, 2, -1, 0, 4, 0, -2, 0, 2, 0, 2, -2, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, -1, -1, 0, 1, 0, 4, 1, -1, 0, -1, 0, 1, 0, -1, -1, -2, -1, 0, 1, -1, -1, -1, 1, -1, 1, 0, -2, 1, 4, -1, -1, 1, -1, 2, 0, -1, 0, 0, 1, 1, 1, 0, -1, -1, 1, 0, 1, 0, 0, -1, -1, 4, 1, 0, 1, -1, 0, 1, 1, 2, -1, -1, -2, 1, 1, 0, 0, 2, -2, 1, 2, 0, -1, 1, 6, -2, 1, -2, 1, 1, 0, -1, -1, 1, 0, -1, -1, 1, 1, -1, 2, -1, 0, -1, 1, 0, -2, 6, 1, 0, -2, -1, 1, 1, 2, -1, -1, 1, 2, -2, 1, 2, -1, 1, 2, 0, -1, 1, 1, 1, 6, -2, 0, 0, 2, -1, -1, -1, 0, 1, 2, -2, 0, -1, 1, 0, -2, 1, 2, -1, -2, 0, -2, 4, 1, 0, -1, 0, 1, 0, 1, 1, -2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, -2, 0, 1, 4, 2, 0, 0, -1, 2, 1, 0, -3, 1, 0, 2, 1, 1, 0, -1, -1, 1, 1, -1, 0, 0, 2, 4, 2, 1, 0, 1, 1, 1, -2, 2, 0, 2, 1, 1, 0, -1, 0, 1, 0, 1, 2, -1, 0, 2, 4, 1, 0, 0, 1, 2, 0, 0, 0, -1, 2, -1, -1, -2, 0, 2, -1, 1, -1, 0, 0, 1, 1, 4, 0, 0, -1, 1, 0, 1, -1, 0, 0, 0, -1, -1, 1, -1, -1, 2, -1, 1, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, -1, 1, -1, -1, 0, 2, 1, 0, 0, 0, 4, 1, -1, -2, 1, 0, 1, 0, 1, -1, 1, 1, -2, 0, -1, 0, 1, 1, 1, 1, -1, 0, 1, 4, 1, -1, 1, 1, 1, 1, 0, -1, -1, 0, 1, -1, 1, 1, 1, 0, 1, 2, 1, 0, -1, 1, 4, 0, 0, 1, -1, -1, -2, 0, -1, -1, 1, -1, 2, 2, -2, -3, -2, 0, 0, 0, -2, -1, 0, 6, -1, 0, 1, 0, 0, 0, -1, -1, 0, 1, -2, -2, 0, 1, 2, 0, 1, 0, 1, 1, 0, -1, 4, -1, 0, 0, 0, -1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, -1, 1, 0, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -2, 0, -1, 0, 0, 0, -1, -2, -1, 1, 0, 0, 1, 2, 0, 0, 1, 0, -2, 4, -2, 2, 2, 1, -1, -1, 1, 0, 1, 1, -1, -1, 1, 1, -2, -2, -1, -1, -1, 0, 2, -2, 4, -2, -2, 0, 0, 0, 0, -1, -2, -2, -1, 0, 0, 1, 1, 2, 0, -1, 0, 1, -2, 2, -2, 4, 2, -1, -1, -1, 0, 0, 1, 2, 1, 0, 1, -1, 0, -2, 0, 1, -1, 1, -2, 2, -2, 2, 4, -1, -1, -1, 1, 1, 0, 2, 1, 0, 0, -1, -2, -2, -1, 1, -1, -1, 0, 1, 0, -1, -1, 4, 1, 1, -1, 0, 0, -1, 0, 0, -1, 2, 0, 1, 0, -1, -1, -1, -1, -1, 0, -1, -1, 1, 4, 2, -2, 0, 0, 1, 0, -1, -2, 1, 1, 0, 1, 0, -1, -1, 0, -1, 0, -1, -1, 1, 2, 4, -1, 1, 0, -1, 1, 1, -1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, -1, -2, -1, 4, -1, 1, 0, -1, -1, 2, 0, -2, 0, 0, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 1, -1, 4, 0, -1, 0, 1, 0, -1, 0, 0, -1, 1, 0, -1, -1, 1, -2, 1, 0, 0, 0, 0, 1, 0, 4, 0, -1, 0, 0, -1, 0, -1, 1, 0, 1, 0, -2, 1, -2, 2, 2, -1, 1, -1, 0, -1, 0, 6, 0, -1, 0, -1, -1, -1, -1, 1, 0, -1, -1, -1, -1, 1, 1, 0, 0, 1, -1, 0, -1, 0, 6, 2, -1, -1, 1, 0, 2, 1, -1, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 1, 0, -1, 2, 4, -1, -1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, -1, -2, -1, 2, 0, 0, 0, -1, -1, 4, 0, -1, 0, -1, 0, 1, 2, 0, 1, 1, -1, -1, 2, 1, 1, 0, -1, -1, -1, -1, -1, 0, 4, 0, 0, 0, -1, -1, 1, 1, -2, 1, 0, -2, 0, 1, 0, -2, 0, 0, -1, 1, 1, -1, 0, 4, 1, 1, 0, 0, 1, 2, -2, 2, -2, -2, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 4, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 2, 0, -1, 1, -1, 2, 1, -1, 0, 1, 0, 4, 0, 0, 1, 0, -1, -1, 1, 1, -1, 0, 1, 0, 1, 0, 1, 1, 1, 0, -1, 0, 0, 0, 4, 1, 0, 1, -1, 0, -1, -1, -1, -1, 0, 1, 0, 1, 0, -1, 1, 1, -1, 0, 1, 0, 1, 4, 0, 0, 0, 1, 1, -1, -1, -1, 0, 1, -1, 0, -1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 2, 2, -2, -2, -1, 1, -2, -2, 1, 0, 1, 0, -2, -2, -2, -2, -2, -2, 1, 4, 2, -1, 2, 0, 0, 1, 1, 0, 1, -2, 0, -1, 0, -1, 0, -2, -1, -2, 1, 1, 2, 2, 4, -2, 2, 0, -1, 0, 1, 0, 0, -1, 1, 0, 1, 0, -1, -2, -2, -1, -1, -1, -2, -1, -2, 4, 0, -1, 2, 1, 0, -1, 2, 1, 0, 0, 0, -1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 4, 1, -1, -1, 1, 0, 0, -1, 0, -1, 0, -1, -2, -2, -1, -2, 0, 0, 2, 0, 0, -1, 1, 4, -2, -2, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, -1, -2, 0, 0, -2, 0, -1, 2, -1, -2, 4, 2, 0, 0, 2, 0, -1, -1, -1, -1, 1, 0, 1, 0, 1, 1, -2, 1, 0, 1, -1, -2, 2, 4, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, -1, 1, 1, 0, 1, 0, 0, 0, 4, -1, 1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, 4, 0, 1, 1, -1, 0, -1, -1, -1, 1, 0, -2, -2, -2, 1, 0, 2, 0, -1, 2, 2, 1, 0, 6, 2, 0, 1, 1, 0, 1, 0, 1, -1, 2, 2, -2, -2, -1, 1, -1, -1, 0, 1, 1, 1, 2, 6, 1, 0, 0, 2, 1, 2, 2, 1, -1, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, 4, 1, 2, 0, 0, -1, 0, -1, -1, -2, 0, -1, 0, 0, -1, 1, -1, 0, -1, -1, 1, 0, 1, 4, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 2, 2, 4, 0, 0, -1, -1, -1, -1, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, -1, 0, 2, 0, 1, 0, 4, 1, 1, 0, 1, -1, -1, -2, 0, -1, 0, -2, -1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 1, 4, 1, 1, 1, 0, 1, -2, -2, -2, 1, -2, 0, 0, 0, 0, -1, 0, 2, -1, 0, -1, 1, 1, 4, 1, 2, 1, 1, -2, -1, -2, 1, -1, -1, 1, 0, 0, 1, 1, 2, 0, 0, -1, 0, 1, 1, 4, 1, 0, 0, -2, -2, -1, 0, -2, -2, 0, 0, 0, 0, -1, 1, -1, 0, -1, 1, 1, 2, 1, 6, 0, 0, -2, 1, -1, 2, 0, 0, 1, 2, 0, -2, 2, -1, -1, 1, -1, -1, 0, 1, 0, 0, 6, 3, -2, 1, -1, 2, 0, 0, 1, 2, 0, -2, 2, -1, -2, 1, 0, -1, 1, 1, 0, 0, 3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 0, 0, -1, -1, 2, 1, 0, 1, 1, 2, -2, 0, 0, -2, 0, 0, 1, -1, -2, 4, 0, 0, 0, 1, -1, -1, 0, -1, 1, -1, -1, 0, 1, -1, 1, 0, 1, 0, -2, 2, -2, 0, 4, 2, 1, 1, 2, 0, -2, 0, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -2, 0, 2, 4, -1, 1, 0, 0, -1, 1, -1, -1, 0, -2, 1, -1, 1, 1, 0, 1, -1, -1, 0, 0, 1, -1, 4, 0, 1, 0, -2, -1, -1, 1, 0, -1, 0, 1, 0, 0, -1, -2, 2, -1, 0, 1, 1, 1, 0, 4, 0, 0, 1, 1, 0, 0, -1, 1, -1, -1, 1, -1, -1, 0, -1, 1, -1, -1, 2, 0, 1, 0, 4, 2, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, -1, -1, 1, -1, -1, -1, 0, 0, 0, 0, 2, 6, -2, 0, -1, 1, 1, -2, 0, 1, -3, 1, 0, -1, -1, 2, 2, 0, -2, -1, -2, 1, -1, -2, 6, 2, 2, 0, 1, 4, -2, 0, 1, -2, 1, 1, 0, 1, 1, -1, 0, 1, -1, 1, 0, 0, 2, 4, 0, -1, 1, 0, -1, 0, 0, 0, 1, 1, 1, -1, 0, 1, -1, -1, -1, 0, 0, -1, 2, 0, 4, -1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, -1, -1, -1, 1, 0, 1, 1, 0, -1, -1, 4, 1, 0, -1, 0, 0, -1, -1, -1, -1, -1, 1, -1, -1, 0, 0, -1, 0, 1, 1, 1, 0, 1, 4, -1, 0, 0, 0, -1, 2, 0, 0, 0, 2, 0, -1, -2, -1, 1, 0, -2, 4, 0, 2, 0, -1, 6, -2, 0, 1, -2, -1, 0, 1, 1, -2, 1, 1, 1, 0, -1, 1, 0, -2, -1, 0, -1, 0, -2, 4, -1, 0, 0, 1, 1, -1, 0, 0, -1, -1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 4, -1, 1, -1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, -3, 1, 0, 1, 0, 0, 1, 0, -1, 4, -1, 0, 0, 0, -1, -2, 0, 1, 1, 0, -1, 0, 1, -2, 0, 0, -1, -1, -2, 0, 1, -1, 4, 0, 0, 1, 0, 0, 1, -1, 0, -1, -1, -1, 0, 1, 1, 1, -1, 2, -1, 1, -1, 0, 0, 4, 0, -1, 1, 0, 0, -1, 1, -2, 0, -1, -1, 1, 1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 1, -2, 1, -1, 2, -1, 1, -1, 0, 1, 0, -1, 0, 1, -1, 2, 0, 1, -1, 0, 6, -2, -1, 2, -1, -1, -1, 1, -1, 2, 1, -1, 1, -1, 0, 1, 0, 1, -1, 0, 1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 1, 1, 1, 1, 2, 1, 2, -1, 1, -1, 0, 0, -2, -1, -1, 0, 1, 1, 4, 1, -1, 0, -1, 0, -1, 2, 0, -1, 0, 0, -1, -1, -1, -1, 0, -1, 0, -1, 1, -1, 1, 4, 0, 1, -1, -1, -1, 0, 0, -2, -1, -1, 0, -1, 0, -2, 1, -1, 1, -2, -1, -1, -1, 0, 4, -1, 0, 1, 0, 0, -1, 0, -1, 2, 0, 1, 2, -1, 1, 1, -1, -1, -1, -1, 0, 1, -1, 4, -1, -2, 0, 0, 0, -1, 1, -1, 0, 0, -2, -1, 0, -1, 0, 0, 0, 1, -1, -1, 0, -1, 4, 0, 2, -1, 1, 1, 2, 0, 2, 1, 1, 2, -1, 0, 1, 0, -1, 1, 0, -1, 1, -2, 0, 4, -1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, -1, 0, 0, 1, -1, -1, 0, 0, 2, -1, 4, -1, 0, 0, 2, 0, 2, 1, -1, 1, -2, -1, 1, 1, -1, 1, 2, 0, 0, 0, -1, 0, -1, 4, 1, 0, 1, 0, -2, -2, 0, -2, -1, -1, 0, 0, 2, 2, 0, 0, -1, 0, 1, 1, 0, 1, 4, 1, 2, -1, 1, -1, 1, 0, -2, -2, 0, 0, 0, 1, -1, -2, 0, -1, 1, 0, 0, 0, 1, 4, 1, 1, 0, -1, 1, 2, 0, 1, -1, 0, 1, 2, 0, -1, -1, 1, 2, 0, 2, 1, 2, 1, 6, -2, 1, 0, 0, 0, -2, -1, 1, 0, 0, -1, 0, -1, 2, -1, 0, 0, 0, 0, -1, 1, -2, 4, 0, 1, 1, 1, 1, 1, -1, 0, 0, 1, -1, 0, 0, 0, 2, 0, 2, -2, 1, 0, 1, 0, 4, 1, 0, 1, -1, -1, 0, 0, -1, -1, -1, -1, 1, 0, 1, 1, 1, -2, -1, -1, 0, 1, 1, 4, 0, 1, 0, 1, 0, 1, -2, 0, -1, 0, 2, -2, 1, 2, -1, 0, 1, 1, 0, 1, 0, 0, 4, 0, 1, 1, 0, -1, -1, 0, -1, -2, -1, -1, 2, 0, 1, -2, 0, 2, 0, 1, 1, 1, 0, 4, 0, 1, 0, 1, 0, -2, 0, 1, 1, 0, -1, 0, -2, -1, -2, 0, -2, 1, -1, 0, 1, 0, 4, 2, 0, -1, 0, -1, -1, -1, 1, -1, 0, 0, -1, -1, -2, 1, -1, 1, -1, 1, 1, 1, 2, 4, -1, 0, 0, -1, 0, 1, -1, 0, 1, -1, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, -1, 4, 1, -1, 0, -1, -2, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 4, 0, 1, 1, -1, -1, 0, -1, 0, -1, 2, 0, 1, 0, 0, -1, -2, -1, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 0, 0, -1, 1, 0, 1, 1, -2, -2, -1, 1, 1, -2, 0, 0, 0, -2, 2, 6, 1, 1, -1, 2, 0, -1, 2, 2, 0, 3, 1, -2, 2, 0, -1, -1, -1, 1, -1, 1, -1, 1, 6, -3, 1, 2, -1, -2, -1, 0, -3, 1, -1, 1, 0, 1, -2, 1, 1, 1, 2, -1, 2, 1, -3, 6, -2, -1, 2, 1, 2, 0, 0, 1, -1, -2, 0, 1, 1, -2, -2, 1, -1, -1, 0, -1, 1, -2, 4, 0, -2, 0, -1, -1, -1, 0, -1, 2, 0, 0, 1, 0, 0, -2, 2, -2, 0, 2, 2, -1, 0, 4, -1, 0, -1, 2, -2, 1, -1, 0, 1, 1, -1, 1, -1, 0, 0, 1, 0, 0, -1, 2, -2, -1, 4, 1, 0, -1, 1, -1, 1, -1, 0, 1, 0, -1, 0, 1, -1, 0, -1, -1, -2, 1, 0, 0, 1, 4, 0, -1, 1, 0, 1, 1, 0, -1, 0, 1, -1, -1, -1, 1, 1, 2, -1, 2, -1, -1, 0, 0, 4, 0, 0, 1, 0, -2, 1, -1, 0, -1, -1, 1, 0, 1, 0, 2, 0, 0, -1, 2, -1, -1, 0, 4, 0, 1, 1, -1, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, -3, 0, -1, -2, 1, 1, 0, 0, 6, 0, 3, -1, -1, -2, 1, -1, 2, 0, -2, 0, 1, 3, 1, 1, 0, 1, -1, 0, 1, 1, 0, 4, 1, 0, 1, -1, -1, 0, -1, 0, 0, 0, -2, 1, -1, -1, -1, -1, 1, 1, 0, 1, 3, 1, 6, 1, 1, -2, -1, 1, 1, 0, -2, 2, -2, -2, 1, -2, 2, 0, -1, 1, -2, -1, -1, 0, 1, 4, 0, 0, -1, 2, 0, -2, 1, 0, -1, 2, 0, 0, 0, 1, 0, 0, 1, 1, -1, 1, 1, 0, 4, 0, -1, 0, -2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, -1, -1, 0, -2, -1, -2, 0, 0, 4, 0, -1, 0, 0, 1, -2, 1, -1, -2, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, -1, -1, 0, 4, -1, 0, 0, 0, -2, -2, -1, 1, -2, 0, 1, -1, 1, -1, 0, -1, 0, 1, 2, 0, -1, -1, 4, 0, 0, 0, 2, 0, -1, 1, -2, 0, -1, 0, -1, -1, 0, 2, -1, 1, 0, -2, 0, 0, 0, 4, 0, 0, -1, 0, 1, 1, 1, -2, 0, 1, -1, 1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, -1, 2, -1, 2, 0, -1, -1, 0, -1, -2, 0, -2, 1, 0, 1, 0, 0, 0, 0, 4, -2, -2, 1, -1, -1, -2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, -2, -2, 2, -1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 0, -1, 0, -1, 1, 0, -1, -1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 1, 4, -1, 1, 1, -1, -1, 1, -1, 1, -1, -2, -2, 2, 1, 1, 1, 1, 0, 1, 1, -1, 0, -1, 4, -2, -2, 1, 2, 0, 0, 1, 1, 2, 1, -2, 0, 0, -2, 0, -1, -2, 0, 0, -2, 1, -2, 6, 0, -2, 0, 2, -2, -1, -1, -1, -1, -1, 2, -1, 1, 2, -2, 0, 1, -1, 0, 1, -2, 0, 4, 1, -2, 1, 0, 1, 0, -1, 0, 3, 0, 1, 2, -1, 1, 2, -1, -1, -1, -1, 1, -2, 1, 4, -1, 0, 1, 0, 1, 1, 1, 0, 0, 2, -1, 0, 0, 0, 0, 1, 0, -1, 2, 0, -2, -1, 4, 0, -1, 1, 1, 1, 0, -2, -1, -1, 0, -1, -1, -2, 1, -1, -1, 1, 0, 2, 1, 0, 0, 4, -2, 1, 1, 0, -1, 1, 2, 1, 0, 0, -1, 0, 0, -1, 1, -1, 0, -2, 0, 1, -1, -2, 4, 0, -1, 0, 1, -1, 0, 0, 0, -1, 2, 0, -1, 0, 0, 1, 1, -1, 1, 0, 1, 1, 0, 4, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, -1, -2, -1, -1, 1, -1, 0, 1, 1, 1, -1, 0, 4, 2, 1, 1, -1, 0, -1, -1, 0, -1, 1, 0, -1, -2, 2, -1, -1, 1, 1, 0, 0, 0, 2, 4, 1, -1, 0, 0, -2, 0, 0, -2, 0, 1, -1, -2, 1, -1, 0, 1, 0, -1, 1, 0, 1, 1, 4, 0, -1, -1, 0, 0, 1, -1, -1, 0, 1, 2, -2, -1, 3, 0, -2, 1, -1, 1, 1, -1, 0, 6, -1, 1, 2, -1, 2, 2, 0, 0, -1, 1, 0, 2, 0, 0, -1, 2, 0, 0, -1, 0, -1, -1, 4, 1, -1, 1, -1, 0, 0, 0, -1, 1, 0, -1, 1, 2, -1, 1, 0, 1, 0, 0, -1, 1, 1, 4, 0, 0, 0, 1, 0, 1, 1, 1, -2, 1, 2, -1, 0, 0, 0, 1, -1, -2, 0, 2, -1, 0, 4, -1, 1, 1, 0, -1, -1, 1, 0, 2, -1, 0, -1, 0, -1, -1, -1, 0, 0, -1, 1, 0, -1, 4, -1, 0, 1, 1, 1, 0, -1, -2, 1, 0, -1, -1, 2, 1, 0, 0, 1, 2, -1, 0, 1, -1, 4, 0, -1, 0, 0, 1, -2, 0, 2, 0, -2, 0, 0, 0, -1, -2, -1, 2, 0, 1, 1, 0, 0, 4, 0, 0, 0, 1, 0, 1, -1, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 0, 4, 0, 0, -1, 0, -1, -1, 1, -1, -1, 0, -2, 0, 1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -2, -2, -1, 1, 2, -2, -1, -2, -1, -1, 0, -1, 0, 2, 2, 1, -2, -1, 1, 2, 6, 1, -1, -3, -2, 0, 2, 1, -2, 1, -2, -2, -1, 0, -2, 1, 2, 0, 0, -1, 1, 0, 1, 4, 1, -1, -2, -1, 1, 1, 0, 1, -1, 0, -2, -1, -1, 0, -1, -1, -1, 0, 2, -2, -1, 1, 4, 1, 0, -1, -2, 0, 0, 1, -1, 1, -1, 0, 0, -1, -2, -1, 2, 0, 0, -2, -3, -1, 1, 4, 2, 0, -1, 1, 2, 0, 1, 2, 0, 1, 1, -2, -2, -1, 1, 1, -1, -1, -2, -2, 0, 2, 4, 1, 0, -1, 2, -1, 1, 1, 0, 0, 1, -1, -1, -1, 0, 0, -2, 1, 0, -1, -1, 0, 1, 4, -1, -2, 0, -1, 1, 1, 0, -1, -1, -1, 0, 1, 1, 0, -1, 2, 2, 1, -2, -1, 0, -1, 6, 1, 1, -1, -2, -1, 0, -1, -1, 1, 1, -1, -4, 0, 2, -2, 1, 1, 0, 1, -1, -2, 1, 6, 1, 3, 0, 0, 0, 1, -1, 0, 0, -1, 0, 2, 1, -1, -2, 0, 0, 2, 2, 0, 1, 1, 4, 0, 0, 2, 0, -1, 1, -1, -1, -2, -1, 0, 0, -2, 1, 1, 1, 0, -1, -1, -1, 3, 0, 4, 0, 0, -1, 0, -1, 0, 0, 0, 1, 1, 0, -1, -2, -1, -1, 1, 1, 1, -2, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, 0, 0, -2, -1, -2, 0, 1, 2, 1, 1, -1, 0, 2, 0, 1, 4, -1, 0, 0, -1, -2, 0, 1, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 4, 0, 1, 0, 1, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0, 4, 0, -1, -1, 1, 2, 0, 0, 0, -2, -1, 0, 1, 1, -1, -1, -1, 1, -1, 0, 0, 1, 0, 4, 1, 0, -1, 0, 0, 0, 2, 1, 0, -1, -2, -1, -1, 1, 0, -1, 0, 0, -1, 0, -1, 1, 4, 2, 1, -2, 0, 1, 2, 2, -1, -2, -2, -1, 0, 1, 0, -1, 0, 0, -2, 1, -1, 0, 2, 4, 1, -1, 0, 0, 1, 0, -1, -1, -1, -1, 1, -1, -1, -2, 0, 1, 0, 0, 1, -1, 1, 1, 4, 0, 0, 0, -2, 0, -1, 2, 1, 0, 1, -4, 0, -1, 1, 0, 1, 0, 2, 0, -2, -1, 0, 6, 1, -1, -1, -1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 1, 2, 0, -1, -2, -1, 2, 1, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, -1, 1, -1, 0, 1, -1, 1, 2, 2, -1, 0, -1, 1, 0, 0, -1, 2, 1, 4, 0, 2, -2, -2, 0, -1, 1, 2, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, -2, 1, -1, 0, 4, 1, -1, 1, 0, -1, 1, -1, -1, -1, 0, -1, 0, -1, 2, 0, -1, -1, 1, 0, 1, 2, 1, 4, -1, -1, -1, 0, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, -1, -1, -1, 1, -1, -2, -1, -1, 4, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, 0, 0, 1, -1, 1, 2, 0, -1, -2, 1, -1, 0, 4, 1, 1, -1, -2, 1, -1, 0, -2, 0, 1, 0, 0, -1, 0, 2, -1, 1, 0, 0, -1, -1, 1, 4, 0, -1, 0, 0, 0, 2, 0, -1, 0, 1, 1, 1, -1, -1, 1, -1, -1, -1, 0, 0, 1, 0, 4, -1, -1, 1, -2, 0, -1, 0, 2, -1, 0, 0, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, -1, 4, 0, -1, -1, 0, -1, 0, -2, 1, 0, 1, 1, -1, 0, 1, 2, -1, 1, 0, -2, 0, -1, 0, 4, -1, 1, 1, 1, 0, -1, -1, 0, 0, 1, -2, 2, -1, -1, -1, 0, 0, 1, 0, 1, -1, -1, 4, 0, 0, 0, 0, 2, -1, 0, 1, 0, 1, -1, 1, 0, -1, -1, 1, -1, 0, -2, -1, 1, 0, 4, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, -1, 0, 2, 0, 0, 1, 0, 0, 4, 0, -1, 0, 0, 1, 0, 0, -1, 2, 2, 1, -1, 1, 0, -2, 0, -1, -1, 1, 0, 2, 0, 4, -1, 1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 4, 0, 0, -1, -1, -1, 0, -1, 0, -1, -1, 0, 0, 1, 0, 2, -2, -1, 2, 0, 0, 1, 0, 4, -1, 0, 0, 0, 1, 0, -1, -1, 2, -1, 0, 0, 1, -1, 1, -1, -1, 0, 0, -1, 0, -1, 4, 0, 0, -1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 4, 0, 1, 1, 1, 0, 1, -1, -1, -1, -1, 1, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 4, 0, -1, 0, 0, 0, -1, -1, 1, 0, -1, 0, 1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 4, 1, 0, -1, -2, 1, -1, 2, 2, -1, -1, -1, -2, 1, 1, -1, 0, 0, 1, 0, 1, -1, 1, 6, -1, 2, 1, 0, 1, 0, -1, 1, -1, 0, 2, -1, 0, 2, 1, -1, 0, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 0, 0, 1, 2, -2, 1, 2, 0, 0, -1, 0, 2, -1, -2, 0, -2, -1, 0, 0, 1, 4, 1, -1, -1, 1, 1, 0, 1, 1, 0, -1, 0, 0, 2, -1, 0, -1, -1, 0, 0, 1, 2, 1, 4, -1, 0, 0, 0, -1, 0, 2, 1, 0, -1, -1, 2, 0, -1, 0, -2, 0, 1, -1, 0, -1, -1, 4, -1, 1, 1, -1, 1, 0, 1, -1, -1, -1, 1, -1, -1, -1, 0, 0, 1, 0, 0, -1, 0, -1, 4, -2, -1, 1, 1, 0, -1, 1, -1, 2, -1, -1, -1, 2, 0, 1, -1, -1, 1, 1, 0, 1, -2, 4, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, -1, -2, -1, -2, 0, 0, 2, 1, 0, 1, -1, 0, 4, -2, 1, 1, 1, 0, 0, 0, 2, -1, -1, -1, -1, 0, 1, 1, -2, 0, -1, -1, 1, -1, -2, 4, -1, -2, -1, -1, 1, 1, -2, 1, 1, 1, 2, 0, -1, -1, 1, 1, 0, 1, 1, 1, 1, -1, 4, 1, 0, -1, 0, 1, 1, -1, -1, -1, -2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, -2, 1, 4, 0, 0, -1, 0, 3, -1, 0, -1, -2, 1, 0, 0, 0, 0, 1, 1, -1, 0, 1, -1, 0, 0, 4, -1, 0, 0, 1, 0, 0, 0, 0, 1, 1, -1, 0, -1, 0, -1, 1, -1, 0, -1, -1, 0, -1, 4, -1, 0, -1, -1, 0, 1, 0, 1, 1, 1, -1, 0, -1, -1, -1, 1, 0, 1, 0, -1, 0, -1, 4, 0, -2, 2, 1, -1, 0, -1, 0, 0, 0, 0, -1, -1, 2, -1, 0, 1, 1, 0, 0, 0, 0, 4, 0, -1, 0, 1, 1, 1, -2, 0, 2, 2, 2, 1, -1, 0, 2, -2, 1, 3, 1, -1, -2, 0, 6, -2, -1, -2, -1, 1, 0, 0, -1, -1, 0, -1, -1, 0, -1, 1, -1, -1, 0, -1, 2, -1, -2, 4, 2, 0, 0, -1, 0, 0, -2, 0, -1, -1, -1, -1, -1, 1, -1, 0, 0, 0, 1, 0, -1, 2, 4, 0, 1, 1, 0, 1, 0, -1, 0, -1, 2, -2, -1, 1, -1, -1, 0, 1, -1, 1, -2, 0, 0, 4, 1, 1, 0, 0, -2, -1, -2, 0, 0, -1, -1, 2, -2, -2, 0, 0, 0, 1, -1, 0, 1, 1, 4, 0, -1, 0, -1, 0, 0, 0, 1, -2, 0, 0, 0, 1, 1, 1, -1, 1, 1, -1, 1, 1, 0, 4, 1, 0, 0, 0, 1, 1, -1, 0, 1, -1, 0, 0, 1, 1, 0, -2, 0, 0, 0, 0, -1, 1, 4, 0, 0, 1, -1, 0, -1, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, -2, 0, 2, 1, 2, -2, -1, 1, 1, 1, 0, 0, -1, -2, -2, 0, 0, 0, -2, 4, -2, 1, 1, 0, -1, 1, -2, 1, 1, 0, -1, -1, 0, 0, 1, 2, 0, 0, 1, 1, 2, -2, 4, -1, -2, 1, 1, 0, 2, -2, -1, 0, 0, 1, -1, 1, -2, -2, -1, 0, 1, 0, 1, 1, -1, 6, 2, 1, -1, 1, -1, 1, -1, -1, 1, 1, 2, -2, 1, 1, 0, 1, 2, 2, -2, 1, -2, 2, 6, 2, -1, 1, -2, 1, 1, -1, -1, -1, 1, -1, 2, 2, 1, -1, -1, 2, 0, 0, 1, 1, 2, 4, -1, 1, 0, -1, 0, -1, 0, -1, 1, 1, -1, 0, 0, -1, 0, 2, 2, -1, 1, -1, -1, -1, 4, 1, 2, -2, -1, 2, 0, 1, 0, 1, -1, -2, -2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 4, 0, -1, 0, 1, -1, -1, 0, 0, 1, 0, -1, 0, -1, 1, 2, -2, 2, -1, -2, 0, 2, 0, 4, -2, -2, 0, 0, 1, 0, 1, -2, -2, -2, 0, 0, 0, -2, 1, -2, 1, 1, -1, -2, -1, -2, 4, 1, 0, 0, -1, 1, -1, 1, 1, 2, 0, 1, 0, -1, 1, -1, -1, 1, 0, -1, 0, -2, 1, 4, 0, 0, -2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, -1, -1, -1, 2, 1, 0, 0, 0, 4, -1, 0, -1, 0, 0, -1, -1, -1, -1, -1, 1, -1, 0, 1, -1, 0, 0, -1, 0, 0, 0, -1, 4, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -2, 0, 1, 4, 0, -1, 0, -1, 0, 1, 1, 0, 0, 0, -1, 2, 1, 1, 0, 0, 0, 1, 0, -1, 1, 0, 4, 0, -1, -1, 1, 1, 1, 2, 0, 0, 1, -2, -1, 1, 1, 0, 1, -1, 1, 0, 0, -1, 0, 4, -1, -1, -1, 0, 1, 1, -1, 1, -2, 1, 2, -1, -1, 1, -2, 1, 1, 0, 0, 0, -1, -1, 4, 2, 1, 0, -1, 0, -2, 2, -2, 1, 2, 0, -2, 0, -2, 1, 1, -1, 0, -1, -1, -1, 2, 4, 1, 0, 0, 0, -2, 0, -1, 0, 1, 0, -2, -1, -2, 2, 1, -1, 1, 0, 1, -1, 1, 1, 4, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 4, 2, 0, 0, 1, 1, 2, -1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 1, 1, -1, 0, 0, 2, 6, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, -1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -2, 1, 2, -2, 0, -1, -1, -2, 1, -1, 1, 1, 2, -1, 2, 2, 0, 1, 2, 0, 0, 6, 0, 3, 0, 0, 3, 3, 0, 0, 3, -2, 3, -1, -3, -3, 0, -3, 2, -3, -2, -2, -2, 0, 6, -3, -1, 1, 1, 0, 2, 1, -1, 1, -1, -2, 0, 0, -1, -2, -1, 0, -3, 1, 1, 3, -3, 6, -1, 1, 1, 0, -1, 1, 2, -2, 2, 1, -3, -3, -1, 1, 2, -3, 0, -2, 2, 0, -1, -1, 4, -2, -1, 1, 0, -2, 0, -1, 0, 0, 2, 1, 1, 0, -1, 2, 1, 0, -2, 0, 1, 1, -2, 4, 0, -1, 1, 2, -1, 0, 0, 0, -2, -1, -2, 0, 1, -2, -1, 0, 0, 3, 1, 1, -1, 0, 4, 2, 0, 0, 1, 0, 1, 0, -1, -1, 0, -2, 1, -2, -1, 0, -1, 3, 0, 0, 1, -1, 2, 6, 1, -1, 1, -1, 1, -1, 0, 0, 1, -4, 1, 0, 0, -1, -1, 0, 2, -1, 0, 1, 0, 1, 4, 0, 0, -1, -1, -2, 0, 1, -1, -1, 1, -1, -2, -1, -2, 0, 1, 1, -2, 2, 0, -1, 0, 4, 0, 1, -1, -1, -2, 0, -2, 0, 0, -2, -1, 0, 1, 3, -1, 2, 0, -1, 1, 1, 0, 0, 4, -2, 2, -1, -1, -1, 1, -1, 2, -1, 0, -1, -1, -2, 1, -2, -1, 0, 0, -1, -1, 1, -2, 4, -1, 1, 1, 1, 0, 1, -2, 1, 0, 2, 1, 3, -1, 2, 0, 0, 1, 1, -1, -1, 2, -1, 4, 1, -1, -3, 1, -1, 1, -1, 0, -1, 1, -1, -2, 1, 0, 0, 0, -1, -2, -1, -1, 1, 1, 4, 0, 0, 0, 1, 0, 1, 2, 1, 2, -3, 0, -3, 2, -2, -1, 0, 0, -2, -1, 1, -1, 0, 6, 2, 2, 2, -2, 3, 3, 2, -1, -3, 0, -3, 1, -1, -1, 0, 1, 0, -1, 1, -3, 0, 2, 6, 0, 0, -1, 2, 1, 2, 2, 0, -1, -1, 1, -2, 0, 1, -1, -2, 1, 0, 1, 0, 2, 0, 4, 0, 0, 2, 2, 1, 2, -3, -2, 1, 0, 0, -2, -4, -1, 0, -1, 1, -1, 1, 2, 0, 0, 6, -1, 1, 2, 1, 0, 2, -1, 2, -1, 1, 1, 1, 1, 0, 2, -2, 1, 0, -2, -1, 0, -1, 4, -2, 0, -1, 1, -3, 0, -3, 2, -2, -2, 0, -1, -2, -1, 1, -1, 1, 3, 2, 2, 1, -2, 6, 3, 2, 2, -2, -3, 0, 1, -1, -1, 0, -2, -1, 0, 0, 0, 2, 3, 1, 2, 2, 0, 3, 6, 1, 0, -2, 1, -2, 0, 0, 0, -1, -1, 0, -1, 2, -1, 1, 2, 2, 1, 1, -1, 2, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -1, 2, 1, 1, 2, 0, 0, 0, 1, 1, -1, -2, -2, -1, 0, 0, -2, 0, 1, -1, 4, -2, 2, -2, -2, 1, 0, 0, -1, 0, -2, 1, -1, -1, 0, 1, -1, -1, 0, 0, -2, 2, -2, 4, -2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, -1, 0, 1, 1, -1, 1, 1, -1, 2, -2, 4, -2, 0, -1, 0, 1, 0, -1, -2, 0, -1, 0, 1, 1, 0, 0, 1, 1, -1, 2, -2, 2, -2, 4, 1, 1, 0, -1, 0, 0, 2, 0, 1, 0, -1, -1, 1, 1, -1, 0, 1, 1, -2, 2, 0, 1, 4, -2, 1, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1, 2, -1, 0, 0, 1, 1, 0, -1, 1, -2, 6, -1, 0, -2, 1, 1, 2, -1, -1, 0, -2, -2, 0, -2, -2, 1, 2, 0, 0, 0, 0, 1, -1, 6, -2, 0, -1, -1, 1, -2, 0, -2, -2, 1, -1, 0, -2, -1, 0, 0, 0, 1, -1, 0, 0, -2, 4, 1, 1, 0, -1, 0, 0, 0, 1, 0, 1, -1, 2, 0, 0, -1, 0, 0, 0, 1, -2, 0, 1, 4, -1, 0, -2, 0, 1, -1, 0, 1, 0, 0, 2, 0, 0, 0, 1, -1, 0, -1, 1, -1, 1, -1, 4, 0, 1, 0, 0, 0, 1, 0, -1, 1, 0, 0, 1, -2, 2, -2, 2, 0, 1, -1, 0, 0, 0, 4, -1, 2, 0, 0, -1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, -1, -2, 1, -1, 4, -2, -1, 0, 0, -2, 0, 0, -2, 0, -1, -1, 1, -1, 1, 0, -1, -2, 0, 0, 0, 2, -2, 4, 0, 0, 1, 2, 0, 0, 2, 1, -2, -1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, -1, 0, 4, 1, -1, 1, 1, 1, 0, -1, -2, 0, -1, 1, -1, -1, 0, -2, 0, -1, 0, 0, 0, 0, 1, 4, 1, -1, 0, 2, 0, 1, -1, 1, 0, 1, -1, 0, -2, -2, 1, 0, 1, -1, 0, 1, -1, 1, 4, 0, 0, 1, 2, 0, 0, -1, 1, 0, 1, 1, -2, 1, 0, 1, 0, 1, -2, 2, 1, -1, 0, 4, 0, 1, 2, 0, 0, -1, 1, 0, 1, 2, 0, -1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 4, -2, 0, 0, -2, 0, -1, 1, -1, -1, -2, 0, -1, 0, 1, 0, 0, 0, 1, 2, 1, 1, -2, 6, 1, 0, 0, 0, 1, 1, 0, 0, -2, -2, 2, 2, 0, 1, -2, 2, 0, 0, 2, 2, 0, 1, 6, 0, 1, -2, 1, -1, 1, 0, 1, -1, 0, 0, 0, 2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -2, -1, 0, 0, -2, 1, 0, -1, 2, 0, -1, 0, 2, 2, 0, 0, -1, 1, 2, 4, -2, -1, -2, -2, -1, 0, -1, -1, -1, 1, 2, 1, -1, 1, 1, 2, -1, 0, -1, 1, -2, -2, 4, -1, 2, 0, 0, -1, 1, 1, 1, 0, -1, 1, 1, 0, -2, -2, 0, -1, 1, 0, 0, -1, -1, 4, -1, 0, 2, 0, -1, 1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 0, 0, -2, -2, -2, 2, -1, 4, 2, -1, 1, 1, 1, 1, 0, -1, 0, 1, 1, -2, -2, -1, 1, 0, 0, -1, -2, 0, 0, 2, 4, -1, 1, 0, 1, 0, 0, -2, -2, 0, 0, 0, -1, 0, 1, 0, -1, 0, -1, 0, 2, -1, -1, 4, 0, -1, 1, 1, -2, 0, 1, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 4, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 2, 0, 1, -2, -1, 1, -1, 1, 0, -1, 1, 6, -3, 0, 2, -2, -1, -1, -1, -1, -1, 0, -1, 0, 0, 1, -1, 1, 1, 1, 1, 1, 0, -3, 6, 2, -2, 2, 1, 0, 1, -1, -1, 1, 1, 1, 0, 0, -1, 1, 0, 1, 0, 1, 1, 0, 2, 4, -2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, -1, 0, 0, -2, 0, 2, -2, -2, 4, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, 1, -1, -2, 0, 1, -2, 2, 1, 0, 6, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, -2, 1, 0, -1, 1, 1, -1, 1, 4, 0, 1, -1, 0, -1, 0, 1, 1, -1, -1, 1, 1, 1, 0, 0, 0, -1, 0, 0, -1, 1, 0, 4, 0, -1, -2, 0, 1, 0, 0, 0, 1, 0, -1, 1, 0, -2, 0, -1, 1, 0, 0, 1, 1, 0, 4, 0, 0, -2, 1, 1, 1, 2, 1, -2, 0, -2, 0, 0, 1, -1, -1, 0, 0, 1, -1, -1, 0, 4, 2, 0, 0, 0, 1, 2, 2, -2, -1, -2, -1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 0, 2, 4, 0, 0, 0, 1, 0, -1, 0, 1, -1, 0, 2, -1, 0, 1, 1, -1, 0, -1, 0, -2, 0, 0, 4, -1, 0, 0, 0, 0, -1, 0, 1, 1, 0, 2, -1, 1, 0, -1, 1, 0, 1, 1, 0, 0, -1, 4, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, 1, 1, 0, -2, 0, -1, 0, 1, 0, 0, 1, -1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, -1, 1, -1, -1, -1, -1, 0, 1, 1, 0, -1, 1, -1, 1, 0, -1, 2, 2, 4, 0, 2, 1, -1, -1, 0, -1, 0, -1, 0, 1, -1, -1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 4, -1, -1, -1, 2, 0, -1, 0, 1, -1, 1, 2, -1, -1, 0, 0, 1, -1, 0, 0, 1, 2, -1, 4, 0, 1, -1, 0, 1, -1, 0, 1, 0, -1, 0, -1, 1, 1, -1, 1, -1, 1, 0, 1, -1, 0, 4, 0, 0, -1, 0, 1, -1, 1, 1, 0, -1, -1, -1, 0, 1, 2, 1, 0, -1, -1, -1, 1, 0, 4, 1, -1, 2, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 2, -1, 0, 1, 4, -1, 0, 0, 0, 0, 1, 2, -1, 0, -1, 0, 2, -1, 0, 0, -1, 0, 0, 0, -1, -1, -1, 4, 1, 1, 1, -1, 1, 0, -1, 0, 1, 0, -1, -1, 1, 0, -1, -1, -1, 1, 0, 2, 0, 1, 4, -1, 1, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, 0, -1, 1, -1, 0, 1, -1, 4, -1, 0, 1, 0, -1, 0, 0, 1, 1, 1, 1, 0, -1, -1, 1, 0, -1, 1, 0, 1, 1, -1, 4, 0, 0, 0, -1, -1, 0, 1, -1, 0, 1, -2, 0, 0, -1, 1, 1, 0, 0, -1, 0, 0, 0, 4, -1, 0, 1, 0, -2, 2, -1, 1, 0, 0, 1, 1, 1, 0, 1, -1, 1, 1, 0, 1, 0, -1, 4, 0, -1, -1, 1, -1, 2, 1, 1, 1, 1, -1, 2, -1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 4, -1, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, 0, -1, -1, 0, -1, -1, 1, -1, -1, 4, 0, -1, -1, 0, 0, -2, 1, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 4, 1, 0, -1, -1, 0, 0, 1, 2, 0, 1, -1, 0, -1, 1, 0, 0, 0, -2, 1, -1, -1, 1, 4, -1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, -1, 0, -1, 0, -1, 4, -1, 1, 1, -1, 1, 0, 1, -1, 1, 0, 2, -1, -1, 1, -1, -1, 2, 0, 0, -1, 0, -1, 4, 0, 0, 1, 0, 1, -1, 1, 2, 0, -1, -1, 0, 1, 0, 1, 1, -1, 0, -1, 0, 1, 0, 4, 1, 0, -1, 0, 0, -1, 1, -1, 0, 1, -1, 1, 1, 0, 1, 0, -2, 0, 0, 1, 0, 1, 4, -1, 2, 1, 0, 1, 0, -1, 0, 0, -1, 0, -2, 0, 1, 0, 1, 0, 1, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 2, -2, 1, -1, -1, 1, 0, -2, 0, 0, 0, -1, 1, -1, 0, -1, 1, 1, 2, 4, 2, 1, 2, 0, -1, -2, 1, 1, -1, 0, 0, -1, 0, 0, 0, -2, -1, 1, 0, 0, 2, 2, 4, 0, 2, 0, -1, 0, -1, 0, 0, 0, 0, -1, -1, -1, 1, -2, 1, 1, 1, 1, 2, 1, 0, 4, 1, 0, 1, 0, 1, 0, -1, -1, 0, -1, 1, 1, -1, -1, 0, -2, 1, 0, 2, 2, 2, 1, 4, -1, 0, 0, 0, 0, -1, -1, -1, 0, 1, -1, 1, -2, 0, 0, 0, 1, -2, 0, 0, 0, -1, 4, -2, 0, 2, 0, 0, 1, 0, -2, 0, 2, -2, -1, 0, 0, 0, 0, 1, -1, -1, 1, 0, -2, 4, 0, -2, 0, -1, -1, 1, 0, 0, -1, 1, 1, 1, 0, 0, 0, -1, -2, 0, 0, 0, 0, 0, 4, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 1, -1, 1, -1, 1, 0, 2, -2, 0, 6, 0, 0, 0, -1, -1, 0, 2, -1, -1, -2, -2, -1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 4, 0, -2, -1, 0, 1, -1, -1, 0, 0, -1, -1, 1, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 4, -1, 1, 1, 0, 0, 0, 1, 0, -1, 1, 0, -2, 0, 0, -1, -1, 1, -1, 1, 0, -2, -1, 6, 1, -1, 0, 0, 1, -1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, 1, 0, -1, -1, 1, 1, 4, 0, -1, 0, 1, 1, 1, 0, 1, -1, 0, -1, -1, -1, 0, -2, 0, 0, -1, 0, 1, -1, 0, 4, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 1, 4, -1, -1, -1, 0, -1, 0, 0, -1, 0, -1, 1, -1, 2, -1, 0, 2, -1, 0, 0, 0, -1, -1, 4, -1, 0, -1, 0, 0, 0, 1, 0, 1, -1, 1, -2, 1, 0, -1, -1, 0, 1, 1, 1, -1, -1, 4, 0, 0, 0, 1, 1, -1, -2, -2, -1, -2, -1, 1, 0, -1, 0, 1, -1, 1, 1, -1, 0, 0, 4, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 1, 2, -2, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4, 0, 0, 1, -1, 1, 1, -2, 0, 0, 0, -1, -2, -1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 6, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 4, -1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, -1, -1, 0, 0, 0, 1, -1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, -2, -1, 2, -2, 0, 1, 1, 0, -1, -2, -1, 0, -2, -1, 0, 0, -2, 1, -1, 4, -2, 1, 2, -1, 0, -1, 1, 1, 1, 0, 0, 1, 1, -1, 2, 2, 0, 0, 2, 1, 1, -2, 4, -1, -1, 0, 0, -1, 1, 0, 1, 0, 0, -1, -2, 0, -1, -2, 0, 0, -1, 0, 2, 1, -1, 4, -1, -1, 2, -1, -1, 1, 1, 1, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, -2, 2, -1, -1, 6, -2, 0, 2, 2, 2, -2, 0, -1, 2, 0, 1, 1, 1, 2, 2, 0, 1, -1, -1, 0, -1, -2, 4, -2, 1, -1, -2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, -1, 2, 0, 0, 2, 0, -2, 4, 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 1, -2, -1, -1, -1, 2, 1, 0, 6, -1, -1, -3, 0, 1, 2, 1, 1, 1, 1, 1, 1, -1, 0, 0, 1, 1, -1, 2, -1, 0, -1, 4, 1, 1, -1, -1, 0, -1, 0, 0, -1, 1, 0, -1, 0, 1, 1, 0, 1, 2, -2, 1, -1, 1, 4, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, -2, 1, 0, -3, 1, -1, 6, -1, 1, -1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, -1, 4, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, 2, 0, 1, -1, -1, 1, 1, 4, 0, 1, 0, 1, 0, 0, 0, 1, 0, -2, 1, -1, 0, 2, 0, 0, 2, 0, 1, -1, 0, 0, 4, 0, 1, 1, 1, -1, 0, 2, 0, -1, 1, -2, 1, 0, 1, -1, 1, -1, -1, 0, 0, 1, 0, 4, -1, 0, 0, 1, 1, 0, 0, 0, -1, 0, -1, 1, 1, 0, 1, 0, 1, -1, 0, 0, 1, -1, 4, 0, 0, 0, 1, 0, 1, -2, 2, -1, -1, 1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 4, 2, 0, -1, 2, 1, -1, 2, -2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 2, 4, 0, 0, 2, 1, 0, 0, 0, -1, 2, 0, -1, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 4, 1, -2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 1, -1, 0, 1, 4, 0, 1, -2, 2, -1, 0, 0, 0, 0, -1, -1, 0, 1, -1, 1, 2, 0, 0, 2, 2, -2, 0, 6, 0, 1, 1, 0, 0, 1, -1, 1, 0, 0, 1, 0, -1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, 2, -1, -2, 0, 1, -1, -1, -1, 0, 1, -1, -1, 0, 1, -1, 0, 1, 0, 4, 0, 0, -2, 0, 1, 1, 0, 1, 2, -2, 0, 0, -2, 1, -2, 0, -1, 1, 0, -1, 0, 0, 4, -2, -1, -2, 0, 1, 0, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, -2, 4, 1, 0, 1, 0, -1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, -1, 1, 0, 1, -2, -1, 1, 4, 2, -1, -2, -1, 1, -2, 1, -1, 1, 1, 0, 1, 1, 0, -2, 0, 0, 2, 0, -2, 0, 2, 6, 0, -3, -1, 2, -1, -2, -3, 2, 2, 0, 0, 0, 0, -2, 1, -2, -1, 1, 0, 1, -1, 0, 4, 2, 0, 0, 1, -2, 1, 0, -1, -1, 0, -1, 0, -1, 0, -1, -2, 1, 1, 0, -2, -3, 2, 6, 2, -1, 1, 0, 2, -2, -3, -1, -1, -2, -1, 2, -2, -1, 0, 0, 0, -1, -1, -1, 0, 2, 4, -1, 0, 0, 1, -2, 0, -1, 1, -1, -1, 2, -2, 0, 1, 1, -1, 0, 1, 2, 0, -1, -1, 4, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 2, -1, 1, -2, -1, 1, 1, 0, -1, 4, -1, 0, 1, -1, 0, -1, 0, 0, 1, 1, 0, -1, -2, 1, -1, 1, -2, -2, 0, 0, -1, -1, 4, 1, 0, 0, 1, 1, 1, 0, 1, -1, 1, -1, 0, 1, 0, -1, -3, 1, 2, 1, 0, 0, 1, 4, -2, -1, 0, 1, -1, 0, 2, -1, 1, 0, 0, -1, 1, 1, 2, 0, -2, -2, 0, 1, 0, -2, 4, 0, 0, 0, 2, 0, -2, 2, 0, 1, -2, -1, 0, 1, 2, -1, -3, 0, 0, -1, 0, -1, 0, 4, 0, 1, 0, 1, -1, 1, 0, -1, 1, 1, -1, 0, 0, -1, -1, -1, 0, 0, 1, 0, 0, 0, 4, 0, 1, -1, 1, 0, 0, -1, -2, -1, 0, 1, 0, 0, -1, 1, 0, -1, 1, 1, 0, 1, 0, 4, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, -1, -2, -1, 0, 0, 1, -1, 2, 0, 1, 0, 4, -1, 0, 1, 1, 1, -1, -1, 1, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, -1, 0, -1, 4, -2, 1, 1, -1, 1, 1, -1, -2, -2, -1, 2, 2, 0, 1, 1, 2, -2, -1, 1, 0, 0, -2, 6, -1, 0, 0, 0, -1, 1, 0, 1, 0, -2, -2, 0, 1, -1, -1, 2, 1, 0, 0, 1, 1, -1, 4, 0, 1, -1, 1, 0, 0, -2, -1, -1, 0, -1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 0, -1, -1, -1, 0, -1, 1, 1, -1, 1, 1, 4, -1, 0, 0, 0, 0, -2, -1, 1, 0, 0, 1, 0, -2, -1, -1, -2, 0, 0, -1, 0, -1, -1, 4, -1, 1, -1, 1, 0, 0, -1, 1, -1, 1, -1, 0, 1, -1, 0, -2, 1, 1, 1, -1, 0, -1, 4, -2, -1, -2, 0, -1, -1, -1, 2, -1, 1, 0, 1, -1, 0, 1, -2, 0, -1, 1, 0, 1, -2, 4, 1, 2, 0, 1, -1, 0, -1, 0, 0, -1, -1, -1, -1, 0, 2, 1, 0, -1, 0, -1, -1, 1, 4, 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, -2, 2, 1, 4, -1, 2, -1, 0, -1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, -1, -2, 0, 0, 0, 0, -1, 4, 1, -1, -1, 0, 0, -1, 2, -1, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, 1, 1, 2, 1, 4, -1, 0, 0, -1, 0, 0, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 4, 0, 0, 0, 0, -1, -1, 1, -1, -1, 0, -2, -1, 1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 4, -1, 1, -1, -1, 0, -1, -1, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 0, 0, 0, -1, 4, 0, 0, 0, 1, 0, 0, 1, 0, -1, -1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 4, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, -1, 1, 0, 1, 0, -1, 0, 0, -1, 0, -1, 4, -1, 0, 1, 0, 1, -1, 1, -1, -1, -2, 0, 0, -1, 0, 0, 2, 0, -1, -1, 0, 0, -1, 4, 1, 1, 2, 0, 0, 1, 1, -1, -1, 1, 1, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, 1, 4, 1, 1, 0, 0, 0, 1, 0, -1, -1, -1, -1, 1, 1, 0, 1, 1, -1, 0, 0, 1, 1, 1, 4, 2, 1, 0, 0, 1, -1, -2, 0, 0, -1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 2, 1, 2, 4, 1, 0, 1, 1, 1, 0, -2, 1, 0, 1, 0, 0, 1, -1, -1, 1, 0, 1, 0, 0, 1, 1, 4, -1, 0, 0, 1, 0, 1, -2, 2, 0, 2, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 4, 1, 1, -1, -1, 1, 0, 1, 0, 1, 1, 1, -2, -1, -1, -1, 1, 1, 0, 0, 1, 0, 1, 4, 0, 1, 0, 1, -1, 0, 0, 2, 0, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -1, 0, 1, 2, -1, 1, 2, -1, 1, 1, 1, 0, -2, 0, -2, -2, 0, 1, -1, 0, 4, -1, -2, -2, -2, 0, -1, -1, -1, -2, 1, 1, 0, 1, -1, -2, -1, -2, 1, 0, 1, 0, -1, 6, -2, 3, -2, 0, -2, 2, 1, 1, 2, 0, -2, -2, 3, -2, 3, -2, 2, -1, -3, -1, -2, -2, 6, 1, 1, -1, 3, -2, -2, 2, 0, -2, 0, -1, 1, 1, 0, 3, 0, -1, 1, 0, -2, 3, 1, 6, 1, 1, 0, 1, 1, 0, 0, -2, -1, -1, 3, 1, 3, 0, 2, -1, 0, 1, -2, -2, 1, 1, 6, 0, 1, 0, 2, 0, -1, 0, 2, 2, 0, 4, -1, 2, 0, 1, 2, 2, 0, 0, -1, 1, 0, 4, 0, 0, 1, -1, -1, 0, 1, 0, -1, 1, 0, -2, -1, 1, -1, -1, -1, -2, 3, 0, 1, 0, 4, -2, -1, 1, 0, -2, 0, 1, 1, 1, -1, 1, 0, -1, 0, 1, -1, 2, -2, 1, 0, 0, -2, 4, 2, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 2, -1, 1, -2, 1, 2, 1, -1, 2, 4, 0, 0, 0, 0, 1, -1, 1, -1, -1, 0, 1, -1, -1, -2, 1, 2, 0, 0, -1, 1, 0, 0, 4, 0, -1, 0, -1, 1, 0, 1, 2, -1, 0, -1, 1, 1, 2, 0, 0, -1, -1, 0, -1, 0, 0, 6, 1, -2, 0, 1, -3, 0, -1, 2, -2, -2, 1, 1, 0, -2, -2, 0, 0, -2, 0, 0, -1, 1, 4, 0, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, -2, 0, -1, 2, 1, 0, 0, 0, 0, -2, 0, 4, 0, -2, 2, 0, 0, -2, 2, 2, 0, 1, -2, -1, -1, 2, 0, 1, 0, 1, -1, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, 1, -2, -1, 3, 1, 3, 0, -1, 1, 0, -1, 1, 1, -1, -2, 0, 6, 0, 2, 0, 3, -2, 0, 0, -2, -2, 1, 1, 4, 1, 1, -1, 1, 0, -3, 0, 2, 0, 0, 6, 0, 2, -1, 2, 2, -2, -1, 3, 0, 3, -1, 0, -1, 0, -1, 1, 0, -1, 0, -2, 2, 0, 6, 1, 0, 0, 0, -2, -2, -2, 3, 0, 2, -2, 1, -1, -1, 2, -1, 0, 0, 0, 0, 2, 1, 6, -2, 0, 2, 0, 1, 2, 0, 2, 0, -1, 0, 0, 0, -1, 2, 0, -2, 0, 3, -1, 0, -2, 6, -1, 0, 1, 0, -1, -1, -1, 1, 1, -1, 0, 1, 0, -2, 1, 2, 0, -2, 2, 0, 0, -1, 4, 0, -1, 1, -3, 1, 0, 2, -1, 0, 0, -1, -1, -2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 0, 0, 1, 2, -1, 2, 0, 1, 1, 0, 0, 0, 1, -2, 0, -2, 1, 1, 2, 4, 2, 2, 1, -1, 0, 2, -1, 2, 0, -1, 0, 1, 1, 0, 1, -2, 0, -1, -1, 0, 2, 2, 4, 2, 0, 0, 0, 0, -1, 2, 0, -1, 1, -1, 1, 1, 1, -2, 1, -1, -1, 0, 2, 2, 2, 4, 0, 1, 0, 0, -1, 2, -1, 0, 1, -1, 1, 0, 1, -2, 0, -1, 0, 1, 0, 1, 0, 0, 4, 0, -1, 0, 1, 0, 1, -2, -2, 0, 1, -1, -1, -1, 1, -1, -2, -1, 0, -1, 0, 1, 0, 4, -1, 0, -1, 1, 1, 0, 1, -2, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, -1, 4, 0, 1, 0, 1, 2, 0, 1, -1, -1, -1, -1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 6, 0, 1, 1, -1, 0, 2, -1, -1, 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, -1, 1, 0, 4, -1, 1, -1, -2, 1, -1, -2, -1, 0, 2, 1, -1, 1, 2, 2, 2, 2, 0, 1, 0, 1, -1, 4, 1, -1, 1, 0, 0, 1, 1, -2, 1, -1, -1, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, 1, 4, -1, 0, 1, -1, 0, -1, -1, 2, 0, -1, -1, 1, -1, -1, 0, -2, 0, 2, -1, -1, -1, -1, 6, 0, 0, -2, 0, 1, 1, -1, 0, 3, 0, 1, 0, 1, 1, -2, 1, 0, 0, -2, 1, 0, 0, 4, -1, 1, 1, 1, 0, -1, 0, 2, 1, 0, 1, -1, -1, 0, -2, 1, 2, 1, 0, 1, 0, -1, 4, -1, 0, -1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, -1, -2, 1, -1, 4, 0, -1, -1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, -1, -1, -2, 1, 0, 0, 1, 0, 0, 4, 1, 0, -1, 0, 0, -1, 1, 1, 1, 1, -1, 1, -1, 0, -1, 1, -1, 1, 1, -1, -1, 1, 4, 0, -1, -1, 1, 1, -2, -2, -2, -2, -1, 0, -1, 0, 0, -2, -1, 1, 0, 0, -1, 0, 0, 4, -1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, -1, -1, 0, 0, -1, -1, -1, 4, 0, -2, 0, -2, -1, -1, -1, -1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, 2, 0, 4, 0, 0, 1, -1, -1, 0, -2, 0, 2, -1, -1, -1, -1, 3, 2, 0, -1, 0, 1, 1, -2, 0, 6, 1, 1, 0, 0, 1, -1, 0, 1, 1, 1, 0, -1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 0, -1, -1, -2, 0, -2, -2, -1, 0, 1, 1, 0, 2, -1, 0, 1, -1, 0, 0, 4, -1, -1, 1, 1, 2, 2, 0, 2, 1, 2, -1, -1, 1, 1, -1, -2, -1, -1, 1, -2, 1, -1, 4, 0, -1, 1, 0, -1, -1, -2, -2, 0, 0, -1, 1, 1, 0, 1, -1, 0, 1, 2, 2, -1, 0, 4, -1, -1, -1, -2, 0, -2, -1, -1, 1, 1, 1, -1, 2, -1, 1, 0, 0, 0, 0, 1, -1, -1, 4, -1, 1, 1, -1, 0, 0, 1, -1, -1, 1, -1, 1, -1, 1, 1, -2, -2, -1, 1, 1, -1, -1, 4, 2, 1, -1, 2, 0, 1, 1, -2, 0, 1, -2, -1, -1, 0, 2, 0, -1, 2, 0, -1, 1, 2, 4, 2, -1, 2, 0, 2, -1, -2, 1, 1, -1, -2, -1, -1, 0, -2, -2, 2, -1, -2, 1, 1, 2, 4, -1, 3, 2, 2, -1, -1, 0, 0, -2, 0, 0, -1, 0, -1, 0, 0, -1, 0, -1, -1, -1, -1, 4, 1, 0, 0, 0, 1, -2, 1, 0, 1, -1, 0, 0, -1, -2, 2, -2, -2, 0, 2, 2, 3, 1, 6, 2, 1, -1, 0, -2, 1, -2, 0, -1, -1, 1, -1, -2, 1, -2, -1, 0, 0, 0, 2, 0, 2, 4, 0, -1, 1, 0, -1, -1, 0, 1, 0, 0, -1, -1, 2, 0, -1, 1, 1, 2, 2, 0, 1, 0, 4, -1, -2, 1, 1, -1, 0, -1, -1, 1, -1, 0, -1, 0, 1, -1, 1, -1, -1, 0, -1, -1, -1, 4, -1, -1, -1, -1, -1, 1, 1, 0, 0, 1, -1, -1, 1, -1, -2, -2, -1, 1, 0, 1, -2, -1, 4, -1, -1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, -2, -2, 0, 1, -1, -1, 4, 0, 1, -1, 1, 0, 0, -1, 0, 1, 1, -1, -1, 1, 1, 0, 1, 1, -1, 1, -1, -1, 0, 4, -1, 0, -2, -1, 2, 1, 2, -1, 0, 2, 1, -2, -1, -2, 0, -2, -1, -1, -1, 1, 1, -1, 4, 0, 1, 1, -1, 0, -1, -2, 1, -1, -1, -1, -2, 0, 1, 0, 0, 0, -1, 1, -1, 0, 0, 6, -1, -1, 1, 3, 0, -1, -1, 1, 1, -1, -1, 0, -1, -1, 1, -1, 1, 0, 1, -2, 1, -1, 4, 1, -2, -1, 1, -1, 0, 0, 1, 0, -1, -1, 0, -1, 0, -1, 1, 0, 0, -1, 1, -1, 1, 4, -1, -1, -1, 1, 1, 0, -2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, -1, 1, -2, -1, 6, 2, 0, -2, 2, 0, -2, 0, -2, -1, -1, -1, -1, -1, 0, 1, -1, 1, 0, 3, -1, -1, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, -1, 0, 0, -1, 0, 2, 2, -1, 0, -2, 2, 2, 1, 2, -1, -1, 2, -1, 1, 4, 1, 0, -1, 1, 1, 1, 1, 1, 0, 1, -1, -1, 0, -1, -1, 2, 0, -1, -1, -2, 0, 1, 4, 1, 0, 1, 2, -1, 2, -1, -1, 2, -1, 1, -1, -1, 1, -1, -1, 1, -2, -2, 2, 0, 1, 6, 0, -1, 2, -1, -1, 2, 3, 1, -2, -1, 1, 3, 3, -1, 0, -2, 0, -3, -1, -1, 0, 0, 4, -2, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 2, 1, 1, 0, 1, 1, -1, -2, 4, -1, 1, 0, 0, -2, 0, 0, 0, -2, -2, -1, -1, 0, 0, 0, 0, 0, 1, 2, 2, 0, -1, 4, 0, 1, -1, 0, 2, -1, 1, 0, 1, 1, 0, 0, 0, -2, -2, -1, 1, -1, -1, -1, 1, 0, 4, 0, -1, -1, 0, 1, 0, -2, 0, -1, -1, 2, -1, -1, 1, 0, 1, 2, -1, 1, 0, 1, 0, 4, 0, -2, 0, 1, 0, 0, 0, 0, 0, -1, 2, 0, -1, 2, 1, -1, 2, 1, 0, -1, -1, 0, 6, 1, -1, -1, -2, 2, 0, 1, 2, 0, 0, 3, -2, 2, 0, -1, 3, 0, -2, 0, -1, -2, 1, 6, -1, 0, -2, 2, 2, 2, 1, -1, -1, 0, -1, -1, 1, 2, 1, 0, 0, 2, 0, 0, -1, -1, 4, -2, 2, -1, -1, 0, 0, 0, 0, -2, -1, 0, -1, -1, -2, 0, 0, -1, 1, 1, -1, 0, -2, 4, -1, 0, 1, 0, -1, 0, 2, 1, 2, -2, -1, 1, -1, 0, 0, 1, 0, 0, -2, -2, 2, -1, 4, -2, -2, 0, 0, 0, 0, -1, 1, 2, 0, -1, 1, 1, -2, 0, -2, 0, 2, 2, -1, 0, -2, 4, 2, 0, 2, -1, 0, 2, -1, 2, -1, -1, 3, 0, -2, 1, 0, 0, 0, 2, -1, 1, -2, 2, 6, 2, -1, 0, -1, 1, 0, 1, -1, 1, 3, 0, -1, 1, -1, 0, 1, 2, 0, 0, 0, 0, 2, 4, -1, 0, 0, 0, -1, 2, 2, -1, -1, 0, -1, 0, -1, 0, 2, 1, 0, -1, 0, 2, -1, -1, 6, -1, 0, 2, 0, -1, 0, -1, 0, -1, 0, 0, 2, -1, 0, -1, 0, 0, 0, -1, 0, 0, -1, 4, -2, -1, 0, -1, -1, 1, -2, 2, 0, 0, -1, 2, 0, -1, 0, 2, 0, 0, -1, 0, 0, -2, 6, 1, 1, 2, -1, -2, 0, 1, 0, -2, -1, 0, 3, 0, -2, 1, -1, 2, 1, 0, 2, -1, 1, 6, 1, -1, -2, -2, -3, 1, 0, -2, 1, -1, -2, -1, -1, 2, 1, -1, 0, -1, 0, 0, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, -1, 0, 1, 1, 1, 2, 1, 4, 0, -2, 0, 2, 0, 1, 0, -1, 1, -1, -1, 0, 0, -1, -1, 1, 0, 1, -1, 2, -1, 0, 4, 2, 0, 0, 1, -1, -2, 0, 1, -1, -1, 1, 0, 0, -1, 1, 0, 1, -1, 0, -2, -2, 2, 6, -1, -1, 0, 0, 0, 1, 1, -1, 0, 0, -2, 2, 2, -1, 1, 0, -2, -3, 1, 0, 0, -1, 4, 0, 2, -1, -1, 1, -1, 1, 0, 2, 2, 0, 1, 1, -1, 0, -1, 2, 1, 2, 0, -1, 0, 4, -1, 0, 0, 1, 1, -2, -1, 0, 1, 0, -1, -1, 0, 2, 1, 1, 1, 0, 1, 0, 2, -1, 4, 0, -1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, -1, -1, 2, 0, 1, -1, 0, -1, 0, 0, 4, 0, 0, -1, 0, -1, 0, -1, 0, 1, 0, -1, -1, -1, -1, 1, 0, -2, 0, -1, 0, -1, 0, 4, 1, 0, 0, 2, -2, 0, 1, 0, -2, 2, 0, 0, -1, 1, -1, 0, 1, 1, 1, 0, 0, 1, 4, 0, 0, 0, 1, 1, 2, 0, -2, 1, 1, 0, 0, 1, 1, 1, 1, -1, 1, 0, -1, 0, 0, 4, -2, 0, 0, -1, 1, -1, 0, 2, 1, 1, 0, 0, -1, -1, -1, 1, -2, 0, 0, 0, 0, -2, 4, 1, 0, 1, -1, 1, 1, -1, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, -1, 2, 0, 0, 1, 4, -1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, -2, 1, 0, 0, -1, 4, 0, 1, 0, 1, -1, 0, 0, 2, 1, 0, 0, -2, 2, 1, 1, -1, 0, 1, -1, 1, 1, 0, 4, -1, -1, 0, 0, 1, 0, 2, 1, -1, 0, 2, 0, 0, 1, 0, 1, 2, 1, -1, 1, 1, -1, 4, 1, -1, 1, 0, 0, 0, -1, -1, -1, 2, 1, -1, 0, 1, 0, 0, -1, 1, 0, 0, -1, 1, 4, 0, -1, -1, -1, -1, 0, 1, 1, -1, 1, -1, 2, 0, -2, -2, 0, 1, 0, 1, 0, -1, 0, 4, -1, 0, 0, 2, 1, 0, 0, 1, -1, 0, 0, -1, 2, 1, 2, -1, 1, -1, 0, 1, -1, -1, 4, 0, 0, 0, 1, 1, 1, 0, 0, 2, -1, -1, 0, 1, 1, 0, 0, 0, 1, 0, -1, 0, 0, 4, 1, 1, 1, -1, -1, -2, -1, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 6, 0, 2, 2, 0, -3, 2, 1, 2, -1, -1, 0, 0, 1, 0, 2, 2, 0, -1, 2, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 1, -1, 1, 0, 0, 0, 1, -1, 1, 1, 2, 0, -1, -1, 1, 1, -1, -2, 1, 4, 0, -1, 0, -1, 2, -1, 0, 1, 0, 0, 2, 0, 0, 0, -1, -1, 1, 2, 0, 1, -2, 0, 4, 0, -2, 0, -1, 1, 0, -1, -2, 1, 1, 0, -1, -1, -1, -1, 1, 0, 0, 1, 1, -1, 0, 4, 1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 2, -1, 1, 0, 0, -1, -1, -2, 1, 0, -2, 1, 4, 1, 0, -1, -1, 0, 2, -2, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, -1, -1, 0, 1, 1, 4, 1, -2, 0, 0, 0, -1, -2, -1, 0, -1, 1, 1, -2, -2, 1, 0, 1, 2, -1, 0, 0, 1, 6, -1, 1, 1, 1, -1, -1, 1, 2, -2, 0, 1, 0, -1, 2, 0, 0, -1, 1, -1, -1, -2, -1, 6, 2, -1, -1, -1, 0, 0, 1, 0, -1, 1, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 2, 4, -1, -1, -1, -1, 0, 1, -1, 1, 2, 1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, -1, 4, 0, 1, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, 1, 0, -2, 1, 2, 0, 1, -1, -1, 0, 4, 0, 0, 0, 1, 1, 0, 0, 0, -2, 0, 0, -1, 0, 1, -1, -2, -1, -1, -1, -1, 1, 0, 4, 1, -1, -2, 0, 0, -1, 0, 0, 0, 1, 1, 2, 1, 0, 0, -2, -1, 0, -1, 0, 0, 1, 4, 1, 0, 1, -1, -2, 1, 1, -1, 0, 1, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, -1, 1, 4, 2, -1, 0, 0, 1, 0, -1, -1, 2, 0, -1, 2, 1, 0, 2, 1, 1, 0, 1, -2, 0, 2, 4, -1, 0, 1, 1, -1, 0, -2, 0, 0, -1, -1, 1, -1, -2, 0, -1, -1, 1, 0, 1, -1, -1, 4, 0, -1, -1, 0, 0, 1, -1, -1, -1, 1, 0, 1, 0, -1, 1, 1, 0, 0, -1, 0, 0, 0, 4, 2, -1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 1, 1, 2, 1, 0, -1, -2, 0, 1, -1, 2, 4, 0, 0, 1, 0, 1, 1, 1, 0, -1, -2, 0, 2, 1, 0, 0, 0, 1, 1, 1, -1, -1, 0, 4, 1, -1, 0, 1, 2, 0, -1, -1, -2, -1, 0, 1, 1, -2, 0, 1, 0, -1, 0, 0, 0, 1, 6, -1, 0, -1, 0, 0, -1, -1, 1, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, -1, 4, 0, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -2, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, -1, 0, 1, 2, 1, 2, 1, 2, -1, -1, -1, 0, 1, 1, 1, -2, 1, 1, 4, -1, -2, 0, -2, -1, 2, 1, 1, 0, 2, 1, 1, 1, -1, -1, 2, 1, 0, 1, -1, -1, -1, 4, 0, 0, 2, 1, -2, 0, 0, 0, -2, -2, -1, 1, 0, 1, -2, -2, 1, 1, 0, -1, -2, 0, 4, 0, 2, 1, 0, -2, -1, 0, -1, -1, 1, -1, 1, 1, 0, -1, 0, -1, -1, 2, 0, 0, 0, 4, 1, -1, -1, 2, 0, 2, 0, 2, -1, 0, 1, 0, 0, 0, 2, -1, 0, -1, -2, 2, 2, 1, 6, 2, -2, -1, -1, 1, -1, -1, -2, -1, 0, 2, -1, -1, 2, 1, 0, 0, -1, 1, 1, -1, 2, 4, 0, 0, 0, 0, 0, -1, -1, 0, -1, 2, 0, -1, 0, -1, 0, 1, 2, -2, 0, -1, -2, 0, 6, -2, 2, 1, 0, 0, 1, -1, -1, -1, 3, 1, 0, -2, -1, 2, 1, 0, -2, 2, -1, 0, -2, 6, -1, 0, 2, 3, 0, 1, 1, 1, 0, 1, 0, -1, 1, 1, 1, 0, -1, 0, -1, 0, 2, -1, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 4, 0, 0, -1, -1, -1, -1, 0, 0, 2, -1, 0, 1, 2, -2, -1, 0, -1, 0, 0, 2, 0, 0, 4, 2, 1, 0, 0, 0, 1, 2, -1, 0, 0, 2, 1, -2, -1, 2, -1, -1, 0, 3, 0, 0, 2, 4, 0, 0, 1, 0, 1, 2, 0, -1, 1, -1, 1, -1, 1, -1, -2, -1, 1, 0, 0, -1, 1, 0, 4, 1, 1, -1, 1, 1, -2, 0, -1, -1, 1, 1, -1, 0, -1, 0, -1, 1, 0, -1, 0, 0, 1, 4, 1, -1, -1, 0, 0, 2, 0, -1, -1, 0, 1, 1, 0, -1, -1, 1, 0, -1, 0, 1, 1, 1, 4, 0, -1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 2, 2, -1, 1, 0, -1, 0, 0, -1, -1, 0, 4, 0, -1, 0, -1, 0, 1, 2, -2, 0, 0, -1, 0, 3, 0, 1, 0, 1, 1, 1, -1, -1, 0, 4, 1, 0, -1, -1, 1, 1, -2, -1, 0, -1, -1, 1, 1, 1, 0, 2, 2, 1, 0, 1, -1, 1, 4, -1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, -1, 0, -2, 0, 0, 0, 0, -1, 4, 1, 0, -2, 1, 1, -1, -1, 1, -1, -2, -1, -1, -1, 0, -1, 0, 2, 0, -1, -1, 0, 1, 6, 0, 1, -1, 0, -1, 0, 0, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 0, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 0, 1, 1, -1, 1, -1, 0, 0, -1, -2, 2, -2, -1, 1, 1, -1, -2, 0, 1, 4, 0, 2, 0, 0, 2, -1, -1, -2, 1, 1, -1, 1, 1, 0, -1, 0, 0, 0, -2, -1, -1, 0, 4, 1, 0, 0, 1, 2, -2, -1, 1, 1, 2, 2, -1, -1, 2, 0, 1, 0, -1, -1, 1, 2, 1, 4, -1, -1, 2, 0, -2, -1, 0, 2, 1, 0, 1, -1, -1, -1, 1, 1, -1, -2, 0, 0, 0, -1, 4, -1, 1, 0, 2, 1, 0, 0, -1, -1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, -1, -1, 4, 0, 1, -1, -2, 0, -1, -1, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, 2, 1, 2, 1, 0, 4, 1, -1, -2, 0, 2, 0, 0, 1, -1, -1, 1, 0, 1, -1, 0, -1, -1, 2, 0, 0, 1, 1, 4, -2, -1, -1, 1, 2, 1, -1, -1, 1, 0, 1, 0, 1, 0, 1, -1, -2, -2, 2, -1, -1, -2, 6, 3, -1, 0, -1, -2, 1, 0, -1, 2, -2, 0, 0, 0, -1, -2, -1, -1, 1, -2, -2, -1, 3, 6, -2, 0, 1, -1, -1, 0, 1, 1, -1, 0, 3, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, -2, 4, 0, -1, 1, 0, 0, 1, 0, 1, -1, -2, 0, 0, 1, 1, 2, 0, -1, 2, 1, 0, 0, 0, 4, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, -1, -1, 2, 1, -1, -1, 0, 2, -1, 1, -1, 1, 4, 1, -1, -1, 1, -1, 0, 0, 1, -1, -2, 1, 2, 0, -1, 0, 0, 1, -2, -1, 1, 0, 1, 4, -2, 1, 1, -1, 0, -1, -1, -1, 2, 1, -1, 1, 1, 0, 1, -1, 1, -1, 0, 0, -1, -2, 4, 0, -1, 0, 1, 1, 0, 0, -2, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 1, 0, 4, 0, -1, -1, 1, 1, 1, -1, -1, 2, -1, 0, 0, -1, 1, -1, 1, 1, 0, 1, 1, -1, 0, 4, 0, 1, -1, 1, 1, 1, 0, 0, -1, 2, 1, 1, 0, 2, 1, 0, 0, -1, -1, 0, -1, 0, 4, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, -2, -1, 1, 0, 0, 0, 1, -1, 1, 0, 4, -1, 0, 0, -1, 0, 0, 1, 1, -1, 1, 0, 0, 0, -1, 1, 0, -1, 1, 1, -1, 0, -1, 4, 2, 0, -2, -2, -1, -1, 1, -1, -1, 1, 0, 3, -2, 0, 1, -1, 0, 1, 1, 0, 0, 2, 6, 1, 0, -1, -1, -2, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, 0, 1, 1, 1, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, 1, 2, 0, 0, -2, -2, 0, -1, -1, 2, -2, -2, 1, -1, 0, -2, -1, -2, 2, 4, 0, -2, 2, 2, 0, 0, -2, -2, 1, -2, 0, 1, -2, -1, 2, 1, 1, -1, -1, -1, 2, 0, 4, 1, -1, 1, 0, -1, -1, -2, -1, 1, -1, 1, -2, -1, 0, -2, 0, -2, -1, -2, -1, -2, 1, 4, -2, 0, 0, -1, 2, 0, 0, 2, 1, 0, 0, 0, -1, -2, -1, 0, 1, 1, 1, 2, -1, -2, 4, 0, 1, 0, -2, 0, 1, -2, -1, 0, 0, -1, 1, 2, 0, -1, -1, 0, 2, 2, 1, 0, 0, 4, -1, 0, 0, -1, 0, 0, 0, 2, -2, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 1, -1, 4, -1, 1, 0, 1, 0, 0, 0, -1, -1, -1, -1, 1, -2, 0, 0, 0, 0, -1, -1, 0, 0, -1, 4, 0, 2, 0, 0, -1, 0, 1, 1, -1, 2, 1, 0, 1, 1, -2, -2, -1, 2, -2, 0, 1, 0, 6, 2, 1, 1, 0, 0, 1, 2, -2, 0, 0, 1, 3, 1, -2, -2, -2, 0, 0, -1, 0, 2, 2, 6, 1, 0, -1, -2, 2, 2, -2, 3, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, 1, 0, 1, 1, 4, -2, 1, -1, 0, 0, 1, 1, -1, 1, 0, 0, -1, -2, 1, 2, -2, 0, 0, 0, 1, 0, -2, 4, 0, 1, 0, 0, -2, -1, 0, 0, 1, 1, -1, 0, -1, 1, -1, 0, 0, -1, 0, -1, 1, 0, 4, -1, 0, 0, 1, -2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, -2, -1, 1, -1, 4, -2, -2, 0, 0, 0, -2, 1, 0, -2, -2, -2, 0, 0, -2, -1, 1, 1, 2, 0, 0, 0, -2, 4, 2, -1, 1, -1, 2, 1, 1, -2, -1, -1, 0, -1, -1, -1, 1, 2, 2, 0, 0, 0, -2, 2, 4, 0, 1, 0, 2, 1, 1, 1, 2, 0, -1, 1, 0, -1, -1, -2, -2, 1, -2, 1, 0, -1, 0, 4, 0, -1, 1, -1, 0, -1, 1, -2, -2, 2, 0, -1, 2, 0, 3, 1, -1, -2, 0, 1, 1, 0, 6, 0, 1, 1, 1, 0, 1, 0, -1, 0, 1, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 4, -2, 0, 0, -2, -1, -2, 0, -1, -1, -2, 0, 1, 1, 1, 0, 2, -2, 2, 2, 1, 1, -2, 6, 1, 1, -1, -1, -1, 1, -1, 0, 0, 1, 3, 1, 0, 1, 0, 1, 1, 1, -1, 1, 0, 1, 4, 1, -2, -1, -2, 1, 0, -1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -2, 1, -2, -1, 2, 2, -2, 2, -2, 0, -1, 2, 2, -2, 2, -1, 2, 0, 1, -1, 4, 1, 0, 1, 0, -1, 0, 1, 0, -2, 2, 0, 1, -2, -1, 0, 0, -1, 0, -1, 1, 0, 1, 4, 1, -1, 1, -2, 0, 0, 1, 0, -1, -1, 2, -1, -2, 1, -1, -1, 0, 1, 0, -2, 0, 1, 4, -1, 2, 0, -2, -2, 2, 0, 1, 0, 0, -2, -1, 1, -2, 0, 0, 1, 0, 1, 1, -1, -1, 4, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, -1, 0, -2, 0, 1, 2, 0, 4, 0, -1, -2, 2, -1, 1, -1, 0, -2, -1, 1, -2, 1, -1, 1, 0, -1, -1, -2, 0, 1, 0, 4, -1, -1, 0, 0, 0, -1, 0, 0, 0, 1, -1, 1, -2, -1, -2, 2, 0, 0, -2, 1, -1, -1, 4, 2, -1, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, -1, 1, 2, 1, 0, -2, 1, -2, -1, 2, 4, -1, 0, -1, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -2, 0, 1, 2, 0, 2, 0, -1, -1, 4, 0, 1, -1, 0, -1, -1, 1, -2, 0, -1, 1, 0, 2, -2, 0, 0, 0, -1, 0, 0, 0, 0, 4, -1, 0, -1, 1, 2, -1, 0, 0, 2, 0, 0, -2, 2, -1, 1, 0, 1, 0, -1, -1, 1, -1, 6, 2, -1, -2, 2, 1, -1, 1, -1, -1, 1, 0, 0, -1, 0, -1, -1, -1, 0, 0, -1, 0, 2, 4, 0, 1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 2, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 4, -1, -3, 1, -1, 0, -1, -1, -1, 2, -2, -1, -2, 0, -2, 0, 0, 0, -1, 1, -2, 1, -1, 6, 1, -1, 2, -1, 0, 0, -1, 2, -1, -2, -1, 0, -1, 0, 0, 0, -1, 2, 2, 1, -3, 1, 6, -1, 1, 0, 2, 0, 2, -2, 0, 1, 1, -1, 1, 1, 0, -1, 1, -1, 1, 0, 1, -1, -1, 4, -1, 1, -3, 0, -1, 2, 0, -1, -2, 0, -2, -1, 2, 2, -2, 0, -1, 1, -1, 2, 1, -1, 4, 0, 1, 0, 1, -1, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 4, -2, 0, 0, 2, 0, 0, 0, 0, -1, -2, 0, 0, -1, 2, -1, 0, -1, 0, 2, -3, 1, -2, 6, 1, 2, 0, -1, 1, 1, -1, 1, -1, -1, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 1, 0, 0, 0, 0, -2, 1, 1, 0, 0, 1, 0, -1, -1, 2, -1, 1, 0, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, -1, -2, -1, 0, 1, 0, -2, -1, 1, 0, -2, 2, 4, 0, 1, -1, 1, 0, 1, -1, 0, -1, 1, -2, -1, 0, -1, -1, -2, 0, 1, 0, -2, 0, 0, 4, -2, 2, -2, 0, 1, 1, 0, 0, 1, 2, -1, 0, 2, 1, 2, -1, -2, 0, 1, 1, 1, -2, 4, -2, 2, 1, 0, -1, 1, 0, -1, -2, 1, 1, -2, 0, -3, 1, 2, 0, -1, 0, -1, 2, -2, 4, -2, -1, 0, 0, -1, 1, 1, 2, 0, -1, 3, 1, 2, 0, -2, -1, 1, 2, 1, -2, 2, -2, 4, 1, 0, 0, 0, -1, -2, -3, 0, 0, -1, -1, -2, 0, 2, 0, -2, 2, 0, 0, 1, -1, 1, 4, 2, 1, 1, 1, -2, -1, 0, 0, 1, 1, -2, -1, 1, 1, -1, 2, 1, 1, 0, 0, 0, 2, 4, 1, 1, 0, 0, -1, -1, 1, 0, 0, 0, -2, 0, 1, -1, 0, -1, 1, -1, 0, 0, 1, 1, 4, 1, -1, 0, -1, 0, 1, 0, -1, 1, -2, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, 1, 4, -1, 0, -2, 1, 1, -2, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 1, 0, -1, -1, 4, -1, 2, 1, -1, 2, 2, -1, 1, -1, 0, 0, -1, 1, 1, -1, 1, -2, -2, 0, 0, 0, -1, 4, 0, 0, 0, -1, -1, 1, 0, -1, 0, 1, -2, -2, 2, -2, 2, -3, -1, -1, -1, -2, 2, 0, 6, 0, 0, 3, 1, 2, 0, -2, 1, 2, -1, -1, -1, 1, 0, 0, 0, -1, 0, 1, 1, 0, 0, 4, -1, -1, 0, -2, 2, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 1, -1, 0, 0, -1, 4, -1, -1, 0, -2, 1, 1, 1, 1, -1, 2, -2, 3, -1, 1, 0, 0, -2, 2, -1, 3, -1, -1, 6, 2, 1, -1, -1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 0, -1, 1, 2, -1, 1, 0, -1, 2, 4, 0, 1, -1, -1, 1, -2, -2, 2, -3, 2, -2, -2, 0, 1, -1, -1, 1, 2, -2, 0, 1, 0, 6, -1, -1, 0, 2, -1, 0, -1, 1, 0, 0, -1, -2, -2, 0, 1, 0, 0, 2, -2, -1, 1, -1, 4, -1, -1, 0, 1, 1, -2, 2, -2, 2, 1, 0, 0, 0, -1, -1, -2, -1, 1, -1, -1, -1, -1, 4, 1, -1, 0, 0, 0, 0, -1, 0, 1, 1, 0, -1, 0, 0, 1, 0, 1, 0, -1, 0, -1, 1, 4, 0, -2, -2, 1, -1, 1, -2, -1, -1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, -2, 0, 1, -1, 1, -1, 0, 1, -1, -2, 1, -1, -2, -1, 1, -2, 1, 1, 4, -2, 0, 2, -2, -1, -1, -2, 0, 1, 1, -1, 0, -1, -1, 0, -2, 0, 2, -1, -1, -1, -2, 4, 1, -2, 0, -1, 0, 2, 0, -1, -1, 1, 0, 1, -1, 1, 1, -1, -2, 2, 0, 1, 0, 1, 4, 1, -2, 0, 1, -1, 0, 1, 1, 1, 1, -1, -1, 1, 1, 0, 0, 1, 0, 1, 2, -2, 1, 4, -2, 1, 1, -2, -1, 1, 1, -1, 0, 0, -1, -1, 0, 0, 2, -1, -1, -2, -2, 0, -2, -2, 6, -1, 0, 2, -1, 1, 0, 0, 0, 2, 2, 0, 1, 0, -1, 0, 0, 0, -1, -1, 0, 1, -1, 4, 0, -1, 1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 0, 1, 1, 0, 0, 4, 1, 0, 0, 0, 1, 0, 1, 1, -2, 2, 0, 0, -1, 1, -1, -2, 2, -1, -2, 2, -1, 1, 4, 0, -1, -1, 0, -1, 2, 1, -1, 1, 0, -2, 0, 1, 1, 0, 0, 0, -1, -1, 1, 0, 0, 4, -1, -2, 1, 1, -1, 1, 0, 0, -1, 0, -2, 2, -1, 1, -1, 1, 1, 1, 0, 0, -1, -1, 4, 2, -1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, -1, 0, -1, -2, 2, 4, -1, 1, 0, -1, 0, 0, 2, 1, 0, -1, 1, -1, 1, 1, -1, 0, -1, 1, 0, 1, -1, -1, 4, -1, -1, 1, 0, 0, -1, 0, 1, 1, -1, 0, 0, 1, 0, 0, 1, 0, -1, 1, 2, 1, -1, 4, 0, -1, 1, 1, 1, 0, 0, 0, -2, -1, 1, -1, 0, 2, 0, 1, 2, -1, 1, 0, -1, 0, 4, 0, -1, 1, 0, -1, 0, 0, 1, -1, -1, -1, -1, 2, 0, 1, 1, 1, 0, -1, 1, -1, 0, 4, -1, 0, 0, 0, -1, 2, -1, 0, 1, 1, -1, 0, 0, -2, -1, 0, 1, 0, 0, 1, -1, -1, 4, 0, -1, -1, 1, -1, -2, -2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 6, 1, 0, 1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, 2, -1, 1, 0, 0, -1, 1, 4, 0, 1, 0, 1, 2, -2, 0, 2, -1, 0, 0, -2, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 4, 0, -1, -2, -1, 2, 1, -1, 0, -1, -1, 0, -2, 0, 0, 1, 0, 0, -1, 1, 1, 1, 0, 6, -2, 1, -1, 0, 0, -1, 0, 1, 1, 1, 2, 0, -1, 1, 0, 0, 2, -1, -1, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, 1, 0, 0, 1, 1, -2, 0, 0, -2, -1, -1, 2, 0, 0, -1, 1, -2, 0, 0, 4, 0, 0, -1, 2, 2, 2, -1, 1, 0, -2, 2, 2, 1, -2, 1, 0, 0, 0, 1, 1, 0, 0, 4, 2, 1, 0, 1, -1, 1, 0, 0, 1, 2, 0, -1, 1, 0, -2, -1, 2, 2, 2, 0, 0, 2, 4, 2, 1, 1, -2, 1, 0, -1, 0, 2, 0, 0, 1, 1, -2, -1, 1, 2, 1, 1, -1, 1, 2, 4, -1, -1, -2, 2, -2, -1, 0, -1, -1, 0, 2, 0, -2, -2, 1, 0, 1, 0, 2, 0, 1, -1, 4, 2, 1, -1, 1, 0, -1, 1, 2, 0, -1, 2, 1, 1, -1, 2, 0, 0, 2, 1, 1, -1, 2, 4, 0, 0, 1, -1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, -1, -2, -2, 1, 0, 6, -2, 0, 0, -2, 0, 0, -1, 0, 2, 2, 0, -1, -2, 0, 1, -1, 1, 1, 2, -1, 0, -2, 4, -2, -1, 1, -1, -1, 1, 1, 0, -1, -2, 1, 0, 0, -2, 1, 0, 0, -2, 1, 1, 0, -2, 4, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 1, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, 0, 4, -1, 0, 0, 1, -2, 0, 1, 0, 0, 0, 0, 0, -2, 1, 0, 0, -1, 0, -2, 1, 0, -1, 4, 0, 0, -1, 2, -2, -1, 1, 1, 0, -1, -2, 2, 2, 2, -1, 1, 1, 0, -1, 2, 0, 0, 6, 1, 1, -2, 1, -1, 0, 1, 3, 2, -1, 2, 0, 0, -1, 2, 2, 0, -1, 2, 0, 0, 1, 4, 0, -1, 0, 0, 1, 0, 2, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, 0, 1, -1, 1, 0, 4, -3, 0, 0, 0, 0, 0, 0, 2, -2, 1, 1, 2, -1, 0, 0, 1, -2, -2, 2, -2, -1, -3, 6, 0, -1, -1, 1, -1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, -2, 1, 0, 0, 0, 4, 1, -1, -1, 1, 1, 0, 0, -2, -2, -2, 1, 0, 2, -1, 0, 1, -1, -1, 0, 0, -1, 1, 4, 1, -1, 0, -1, -1, 0, -1, -1, -2, 1, 1, 0, -2, 2, 0, 1, 0, 1, 0, -1, -1, 1, 4, -1, 0, -1, 1, 0, 2, 1, 1, -1, 1, -1, 1, 0, 0, 1, 1, 0, 0, 1, -1, -1, -1, 4, 1, 1, -2, 1, 2, 2, 0, 2, 2, -2, 0, 1, 0, 0, 3, 2, 0, -1, 1, 0, 0, 1, 6, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -1, -1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 0, 1, 2, -1, -1, 1, -2, -1, -1, 1, 2, -1, 1, 0, -2, -1, 0, -1, 2, 1, 4, -1, 1, -1, 0, 0, 1, -1, 0, -2, 1, 1, 0, -2, 1, 1, -1, 1, 0, -1, 0, 2, -1, 4, 0, 0, 2, 0, -1, 1, -1, 1, -2, 1, 1, -1, 1, -1, -1, -2, 1, -1, 1, 0, 1, 0, 4, 0, 0, 0, 2, 1, -1, -1, 0, 1, 0, -1, 0, 1, -1, 2, 1, 0, 1, 1, -1, 0, 0, 4, 0, -1, 0, 2, -1, 1, 0, 0, 1, 2, -1, -1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 4, 1, -1, 0, 0, 1, 0, 1, 2, -1, 1, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, 4, 1, 0, 1, 0, 0, 1, -1, 0, 1, 2, 2, -1, -1, -1, -1, -1, 1, -1, 2, 0, -1, 1, 4, 1, 1, 0, 0, 1, -1, -1, 1, 1, 1, 1, 0, -1, -1, 1, -1, 1, 1, 2, 0, 0, 1, 4, -2, 0, -2, 1, 0, 1, 1, 0, 1, -1, 1, 0, 0, -2, 0, -1, -1, -1, 0, 1, 1, -2, 6, 3, 1, -2, 0, 0, -1, 1, 0, 0, 1, 0, -1, -1, -2, 1, -1, 1, 1, 0, 0, 0, 3, 6, -1, 0, 0, 1, -1, 0, 1, -1, 3, 0, -1, -1, 1, -2, 0, 0, 0, 0, 0, -2, 1, -1, 4, -1, 1, 0, -1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, -2, 0, -1, 4, -1, -1, 2, 1, 0, 0, 1, -1, 0, 2, 0, 1, 0, 1, 2, -1, -1, 0, 0, 0, 1, -1, 4, -1, -1, 0, 0, 0, 0, 1, 2, -1, -2, -1, -1, 2, -1, 0, -1, 1, 0, 1, 0, -1, -1, 4, -1, -1, 1, 0, 0, 1, -1, 1, 1, 1, 0, -1, 1, 1, 1, 1, -1, -1, -1, 2, -1, -1, 4, 1, 0, -1, 0, -1, 0, 0, 1, -1, 1, -1, 1, 2, 1, 0, 1, 0, 0, 1, 0, -1, 1, 4, 0, 0, 0, 0, 1, -2, -1, -1, -1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 6, 0, 0, 1, -2, -1, 1, -2, 2, 1, 0, -1, 1, -1, 0, -1, 2, 0, 0, 0, -1, 0, 0, 6, 0, 1, 0, 0, 0, 1, 1, 1, 1, -1, 0, 1, 1, 3, 0, 1, 0, 0, 0, 0, 0, 0, 6, 1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, 1, 1, -1, 0, 1, 1, 1, 4, 0, 2, 0, 1, 1, 0, 1, -1, -1, 0, -1, -1, 0, 0, 2, -1, 0, 1, -2, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 1, -2, 0, 1, -1, 0, 2, -2, 1, -1, 1, 0, 1, 2, -1, 0, -1, 0, -2, 4, 1, 1, 0, 1, 0, 1, 0, 1, -1, 1, 0, 0, 1, -1, -1, -2, 2, 0, -1, 0, 0, 1, 4, 1, 2, 0, 0, -1, -2, 0, 0, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 1, 0, 1, 1, 4, 2, 0, 0, -1, 1, 0, 0, 1, 0, 1, 0, 1, -1, -1, 1, 0, 0, 0, 1, 0, 2, 2, 4, -1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, -1, -1, -1, -1, -1, 1, -2, 1, 0, 0, -1, 4, 1, -2, 0, 0, 0, 2, -1, 0, 0, 1, -1, 0, 1, -1, 2, -1, 0, 0, 0, 0, 0, 1, 4, -2, 0, -1, -1, -1, 1, 1, 0, 0, 1, 0, -1, 1, 0, -2, 1, 1, -1, -1, 0, -2, -2, 6, 1, 0, 1, -2, 1, -1, 2, -2, -1, 0, 1, -1, -3, 0, -1, 0, -2, 1, 0, 0, 0, 1, 4, 0, -1, 0, 0, 1, 1, 1, -1, -1, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, -1, 0, 0, 4, 1, 1, 0, -1, 1, 0, -1, 0, 1, 1, -1, 1, 2, -1, 0, 0, 0, 0, -1, 1, -1, 1, 4, 0, 0, -2, 0, 0, 0, 2, 1, -1, 0, 0, -2, 1, 1, 1, 1, 2, -1, -2, 0, 1, 0, 6, -3, -1, -1, 2, -1, -2, 0, 0, 0, 1, 1, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, -3, 4, 1, 1, -2, 0, 1, 0, 1, 0, 0, -1, 0, 1, 1, 1, 0, 1, -1, 1, -1, -2, -1, 1, 4, -1, 0, -1, -1, -1, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, 2, 1, 1, 0, -1, 1, -1, 4, -1, -1, 0, 1, 0, -2, 0, 0, -1, -1, 1, 0, 1, 0, -2, 1, 0, 0, 2, -2, 0, -1, 4, 1, 0, -1, 0, 1, 0, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 0, -1, 0, -1, -1, 1, 4, 1, -1, 1, 1, 0, 2, -2, -1, -1, -1, 0, 0, 0, -1, 0, 2, -2, 1, -1, 0, 0, 1, 4, 0, 0, 2, 0, -1, 2, 0, 1, -1, 1, -1, 1, 0, 1, 1, 0, 0, -1, 1, -1, -1, 0, 4, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, -1, 4, 0, 0, -1, -1, 0, 0, -1, 2, 0, -3, -1, -1, 0, 0, 0, 1, -2, 1, 1, 2, 0, 0, 6, 0, 0, 0, 1, 0, 1, -1, -2, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, -1, 0, -1, -1, -1, -2, 0, -1, -1, 0, -1, -1, -1, 0, 2, -2, 1, 2, 4, 0, -1, 1, -2, 0, -2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, -1, 0, -2, 1, 2, 0, 4, 2, -1, 1, 0, 1, -2, 0, -2, -1, 0, -1, 0, 0, -2, -2, 0, 2, -1, 1, 1, -1, 2, 4, -1, 2, 1, 2, -2, 0, -2, -2, 0, 0, -1, 0, -1, -2, 1, 1, -1, 1, 0, 1, -1, -1, 4, 0, 0, -2, 0, 1, 1, 1, 1, 1, 1, 0, -1, 1, 0, 0, -1, -1, -1, -2, 1, 2, 0, 6, 2, 0, -1, 2, -1, -3, -1, 2, -1, 2, -1, -1, 2, 0, -1, 1, 0, 0, 0, 1, 0, 2, 4, 1, 0, 0, 0, -2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, -1, -2, 1, 2, -2, 0, 1, 6, 0, -2, -1, -1, 1, -2, 0, 1, -1, 0, 1, 1, 1, 1, -1, 0, -2, -2, 0, -1, 0, 0, 4, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, -1, 2, 0, -1, 0, 0, 0, 1, 2, 0, -2, 0, 4, 1, -1, 1, 2, -1, 1, 0, 0, -1, -1, -1, 0, -2, 0, -2, -2, 1, -1, 0, -1, 2, 1, 4, 1, 1, 0, 0, 0, 2, 2, 0, -2, 2, -1, 0, 1, -1, -2, 1, -3, -2, -1, 1, -1, 1, 4, 1, -1, 0, -2, 1, 1, -1, -1, 0, -2, -1, 0, 0, 0, 1, -1, 0, 1, 0, 1, 1, 1, 4, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 2, 0, -2, 0, 2, 0, -1, -1, 4, -1, 1, 0, 0, -1, -1, 0, 0, 0, 1, 0, -1, 1, -1, 1, 0, 0, -1, 0, 0, 1, -1, 4, 0, -1, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, -2, 0, 1, 0, 4, 0, 1, 0, 0, 0, 2, -1, 0, -2, -1, -1, -1, 0, -1, 2, 0, 2, 1, 0, 0, -1, 0, 4, 1, 0, -2, 2, 0, -1, 1, -2, -2, 1, -1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 4, 0, -1, 1, 0, 0, -1, 0, 1, 0, 2, 2, 1, 0, -1, 0, -1, 0, -1, 1, 0, 0, 0, 4, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, -1, -1, -2, -1, 0, -1, 1, 0, -2, -1, 0, 4, 0, 1, -2, -2, -1, -1, -1, -1, 0, 1, 2, -1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 6, -1, 1, 1, 1, 1, -1, 1, 2, 1, 0, 0, -1, -2, 0, 0, 1, 2, 0, 0, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 2, -1, 1, -1, -1, -1, -1, 0, 0, -1, 1, 1, -2, 0, 0, 1, -1, -1, 6, -3, 1, 2, 1, -2, -1, -1, 3, -1, 2, -1, 1, 1, 1, 1, -1, 2, -2, -1, 2, 2, -3, 6, -2, -1, 1, 1, -1, -1, 0, -1, -1, 2, -2, -2, 1, 1, -1, -1, 1, 2, -1, 0, 1, -2, 4, 0, 0, 0, 1, 1, 1, 0, -1, -1, 0, 1, 1, 1, 0, 2, 1, -1, -1, 0, 2, -1, 0, 4, 0, 0, 1, 0, 2, -1, 1, 0, 2, 1, -1, -1, 0, 0, 0, -1, 1, 2, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, -2, 1, -1, 0, 0, -1, -2, 1, 0, 0, 0, 4, 1, 1, -1, 0, -1, 2, 0, 1, -1, 0, 1, 0, 2, 0, -1, 1, -1, -1, 1, 1, 0, 1, 4, 0, -2, -1, -1, 0, 1, 0, 0, -1, 0, 0, 1, -1, -1, -1, -1, -1, 1, 0, 0, 1, 0, 4, -1, 2, 0, -1, 1, 2, 0, -1, 2, -1, 0, -1, -1, -1, 3, 0, 1, 2, 0, -1, -2, -1, 6, 0, 1, 0, -1, 0, 0, 1, 0, 2, 0, -1, 1, -1, -1, -1, 0, -1, 0, 0, -1, 2, 0, 4, 1, 0, 0, 0, -1, 0, 1, 0, 0, -1, -1, -1, 2, -1, -1, 1, 1, -1, -1, 0, 1, 1, 4, 0, 1, 0, -1, 0, 0, 0, -1, 0, 2, 0, -1, 2, -1, 0, 1, 2, 0, -1, 0, 0, 0, 4, -1, -1, -1, 1, -1, 0, 1, 1, 0, 0, 1, -2, 0, 2, 0, 0, 1, 1, -1, 0, 1, -1, 4, 2, -1, -1, 0, 0, 0, -1, 1, -1, 1, -2, 1, 1, 0, 1, 0, 2, 0, 0, 0, -1, 2, 4, -1, -1, 1, 0, 0, -1, 1, 1, 1, 1, 1, -1, 1, -1, 0, 0, 0, -1, -1, -1, -1, -1, 4, 1, -1, 1, -1, 0, -1, 1, 1, 1, 1, -1, 2, 0, -1, -1, 1, 0, 0, 1, -1, -1, 1, 4, -2, 2, 0, 0, -1, -2, -1, -1, 0, 0, -2, 1, 0, 2, 0, 1, 0, -1, 0, 1, -1, -2, 4, -1, 1, 0, 0, 0, 2, -1, 2, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, 2, -1, 4, 0, -1, 0, 0, -2, 1, 1, 0, -1, 2, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 4, 1, -1, 1, -1, 2, -1, -1, 0, 0, -1, -1, -1, -1, 0, 1, -1, -1, 0, 0, 0, -1, 1, 4, 0, -1, 2, -1, -1, 1, 0, -1, -1, -1, 1, -1, 2, 0, 1, 1, -1, -1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, 1, -1, 0, 1, 2, 1, 1, -2, -2, 0, -1, -1, -2, -1, -1, 0, 1, -2, 4, -2, 2, 1, -2, 0, 0, -1, -2, -2, -2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, -2, 4, -2, -1, 0, -1, 1, 0, 2, 1, 2, 0, 0, -1, 0, -2, -2, -1, 0, 1, 1, -1, 2, -2, 6, -1, 0, 1, -1, 2, -2, -3, -3, -1, 2, -1, 1, 2, 2, -1, -2, -1, 1, 1, 1, -1, -1, 6, -2, 0, -1, -1, 1, 1, 0, 2, -3, -1, -1, -1, -1, 0, 1, 1, 1, 1, -2, 0, 0, -2, 6, 1, -2, 0, 0, 0, 0, -3, 0, 0, -2, 2, 0, -1, -3, 0, 0, -1, 0, -1, 1, 0, 1, 4, 0, -1, -1, 0, 0, -1, 2, 0, -1, 2, 1, -1, -2, -1, 1, 0, 0, 1, -1, -1, -2, 0, 4, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 2, -1, 0, -1, 0, 4, 0, -1, -1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 0, 2, -2, 2, -2, 1, 0, -1, 0, 0, 4, 2, 1, 0, -2, -1, 0, -2, -2, -1, 1, 1, 1, 1, -2, 1, -3, 1, 0, 0, 1, -1, 2, 4, 2, 0, -1, 0, -1, -1, -2, 0, 0, 0, 0, 1, -2, 2, -3, 0, 0, 0, 0, -1, 1, 2, 4, 0, 0, 0, -1, -1, -2, 0, 1, 0, 0, -2, 2, 0, -1, 2, -3, -1, 0, -2, 0, 0, 0, 6, 0, -2, 2, -1, 1, 0, 2, 2, -1, -2, 0, 0, 2, -3, 0, 2, 0, 1, -2, -1, 0, 0, 6, 0, 0, 2, 2, -1, -1, -2, -1, 0, 0, -1, -1, -1, 0, 0, 1, 0, -1, 0, 0, -2, 0, 4, -1, 0, 0, 2, 1, -2, -1, -1, 1, 0, 1, -1, -2, -1, 1, 0, 0, -1, -1, 2, 0, -1, 4, 0, 1, 0, 1, 1, 0, -1, 1, -2, 2, -1, 2, 2, -1, 0, -2, -1, -1, -1, 2, 0, 0, 4, 2, -1, -2, -1, 0, -2, 2, -2, 2, -1, 0, 1, 0, 0, -2, -2, -2, 1, 2, 0, 1, 2, 4, 0, 0, 0, -1, -1, 0, -1, -1, 0, -1, -1, 1, 0, -1, 0, 0, 0, -1, 2, 0, -1, 0, 4, 1, 0, -1, -1, 1, 0, -2, 1, -3, -2, 0, -1, 1, 0, 1, 2, -1, 1, 1, -2, 0, 1, 6, 1, -1, 0, 0, 1, -1, 1, 0, -1, 0, -1, 1, 0, 0, 2, -2, -2, 1, -1, 0, 0, 1, 4, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, -1, -1, -1, 0, 0, -1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 1, 2, 0, -1, 1, -1, 0, -1, -1, 1, -2, -1, 0, 1, -1, -2, -2, 1, 1, 0, 4, -1, 0, -1, 2, 2, 0, -1, 2, 1, 2, 0, 1, 0, 0, -1, 1, 1, -1, 0, -1, -1, -1, 4, -1, 0, 0, 1, 1, 1, -1, 1, 0, 1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 1, 0, -1, 4, -1, 0, 1, 1, 1, -1, -1, 0, -1, 0, 1, 1, -1, 0, 1, -2, -1, 2, 2, -1, 0, -1, 4, -1, -1, 0, -1, -1, -1, -1, 1, -2, 0, 0, 2, -1, -2, 0, 2, 1, 0, 2, 0, 0, -1, 4, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, -2, -1, 2, 0, 0, -1, -1, 2, 1, 1, -1, 2, 6, 2, 0, 0, 0, 1, -1, 2, 3, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 4, 1, -1, 0, 0, -1, 0, 2, 1, -1, 0, 1, -1, 0, 0, -1, -1, 1, 1, -1, 0, 0, 1, 4, 0, 0, 0, -1, 0, 1, 2, -1, 0, 1, -1, -2, 0, 0, 2, -1, -1, -1, 1, 0, -1, 0, 4, 0, 0, 1, 0, -1, -1, 0, 0, -1, 0, 0, -2, -1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, -1, -1, 2, 0, 0, -1, 2, 1, 0, 0, 0, 0, 4, -1, 2, 0, 1, -2, 1, 2, 0, 0, 0, 1, 0, 1, -1, 1, 0, -1, -1, -1, 1, 1, -1, 4, -2, -1, 0, 1, -2, -1, 1, 1, 0, -2, 1, 0, 0, -2, 1, 2, 0, 0, 0, 0, 2, -2, 4, 0, -1, -1, 2, 1, 0, 0, 0, -1, 0, 1, 1, 0, 0, 3, 2, 1, -1, 0, 0, -1, 0, 4, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, -1, 0, 1, 0, -1, 1, 4, -1, -1, 2, -1, -1, 1, 1, -1, -1, -1, 2, -2, -1, -1, -1, 0, 0, -2, 1, -1, -1, -1, 4, 0, -3, 1, 1, 1, -1, 1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 1, -2, 2, 0, -1, 0, 4, 0, 0, 0, 0, -2, 1, 1, 1, -2, 2, 1, 1, 1, -1, 0, 2, -1, 1, 1, 2, -3, 0, 6, -1, -1, 0, -2, -1, 0, -2, 0, 0, 0, -1, -1, 0, 1, 0, 1, 0, 0, -1, 1, 0, -1, 6, 1, -1, 1, 0, 0, -1, 2, 0, 0, 0, -2, 0, -1, 0, 1, 0, 0, -1, 1, 0, -1, 1, 4, 0, 1, -1, 0, 2, 1, -1, 0, 0, 0, -2, -1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, 1, 1, 2, -2, 1, 2, 1, -1, -2, -1, 2, -2, -1, 0, 0, -1, 1, -1, 4, 2, 1, 1, 1, -1, -1, -1, -1, 1, -2, 0, 0, 0, 0, -1, 2, 0, 0, 0, 1, -2, 2, 4, -1, -1, 0, -1, -1, 0, -1, -1, -1, 0, 1, 1, 0, 1, 2, -1, 0, 1, 1, 2, 1, -1, 6, 0, 0, -1, 0, -1, -1, 0, 1, 0, -2, -2, -1, -3, 0, -1, -2, -1, 2, 2, 1, -1, 0, 6, 1, 2, 2, -1, 2, 3, -1, 1, 0, -1, 3, -3, -1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 4, -1, 1, 0, -1, 1, 0, -1, 0, -1, 2, -2, 1, 1, 0, 0, 0, 1, -1, -1, -1, 2, -1, 4, 2, 0, 2, 0, 0, 1, 0, 1, 2, -1, -2, 1, 0, 0, -1, 2, -1, -1, 0, 2, 1, 2, 4, 0, 1, 1, 0, 1, 0, -1, 3, -2, -1, 0, 0, -1, 0, -2, -1, 0, -1, -1, 0, 0, 0, 4, 0, -2, 1, 1, 2, 0, -1, 0, -1, 1, 0, 0, -2, 1, -1, -1, -1, 2, -1, 2, 1, 0, 4, 0, 0, 0, 1, 1, 0, -1, -2, 1, 0, -1, -1, 2, 1, -1, 0, 3, 1, 0, 1, -2, 0, 6, -2, 0, -1, -1, 2, 0, 1, 1, 1, 0, 1, 1, -2, -1, 1, -1, 0, 0, 0, 1, 0, -2, 4, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, -1, 0, 0, 0, 1, -1, 1, 1, 1, 0, 0, 0, 4, 0, 0, 0, 0, -1, 1, 0, 0, 0, -2, 0, 1, -2, 0, 0, 0, 0, 2, 1, -1, -1, 0, 4, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 1, -2, -1, -1, 1, -1, 0, 1, -1, -1, 0, 0, 4, -1, 1, -1, 1, 1, 0, 0, 2, 0, 0, -1, 3, 2, 2, 3, -1, 0, 2, -1, 0, 0, -1, 6, -1, 0, 0, 1, 1, 1, -2, -1, 1, -3, -3, -2, -1, -2, 0, -1, 0, 0, 0, 0, 1, -1, 6, 1, -1, 1, 1, 0, -1, 2, 2, 0, -1, 1, -2, -1, -1, -2, 1, -1, -1, 0, -1, 0, 1, 4, -1, 0, 1, 1, 0, 0, -1, -1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, -1, -1, 4, 0, 0, -1, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 1, 1, 0, 0, 4, 1, 0, -1, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 1, 0, 1, 1, 1, 0, 1, 4, 0, 1, 1, 1, 2, 0, 0, -1, 0, -2, -1, 1, -1, 0, -1, 0, 1, 0, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, 0, -2, -1, -2, -2, -1, 1, 1, -1, 0, 0, 1, 0, -1, 1, 2, 0, 0, 4, -1, 0, 0, 2, 1, -2, -1, 1, 1, 0, 0, 2, -1, -1, -1, 0, 0, 2, -1, 1, 1, -1, 4, -1, 1, -1, -2, 1, 1, -2, 0, -1, 1, 0, -1, -1, -1, -1, -1, 1, 2, -1, 0, 0, -1, 4, -2, 1, 2, -1, -2, 0, -1, 1, -2, 0, 2, -1, 1, 2, 1, -2, -2, 2, 0, 0, 1, -2, 4, -1, -2, 2, 2, 0, 2, -2, 0, 0, -1, 0, -1, -2, -2, 2, 1, -1, 0, 2, -1, 1, -1, 4, 0, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 2, -2, 1, -2, 2, -2, 0, 6, 0, -1, 1, 0, 1, 0, 2, 1, 1, -1, 2, 3, 0, -3, 0, -1, -2, 1, -1, 2, -1, 0, 6, 1, 0, 0, -2, 0, 0, 0, 1, -2, 0, 0, 1, -1, -1, -2, -1, 1, -2, 2, 0, -1, 1, 6, 1, 1, -2, 1, -1, 0, 1, 0, -2, -1, -1, 1, -1, -2, 1, -2, 0, 0, 0, 1, 0, 1, 4, 1, -1, 0, 1, 1, 1, 0, 0, 0, 0, -2, 0, -1, 1, 0, -1, 2, -1, 0, 0, 1, 1, 4, 0, 0, 1, 0, 0, 0, 0, 0, 2, -1, -1, 1, 0, -1, 1, -2, 0, 1, -2, -2, -1, 0, 4, 0, -1, 0, 0, 2, 2, 2, -1, 0, 0, 1, 0, 1, -2, 0, -1, 0, 0, 1, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 2, 2, -1, -1, 2, 0, 0, 0, 0, 2, 0, -1, 1, 1, -1, 0, 4, -1, 0, -2, 0, 0, 2, -1, 0, 0, -1, -1, 2, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 4, 0, 1, 1, 1, -1, -2, 1, 0, -1, -1, -1, 0, -1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 4, 1, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, 0, -1, -2, 0, 0, 0, 2, 0, -2, 1, 1, 4, 1, 0, -2, 1, 1, 0, 0, -1, 2, -2, 0, 2, 0, -2, 0, 0, 2, 0, 0, 1, 0, 1, 4, 2, 0, -1, 1, -1, 0, -1, 1, -2, 0, 3, 0, -1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 4, -1, -2, 0, 1, 2, 1, -2, 2, -1, 0, 1, -1, 0, 2, -1, 2, 2, -1, 0, -2, 0, -1, 6, 1, -1, 2, -1, 2, -2, 1, -1, -3, -1, 1, -2, -1, 0, 2, -1, -2, 0, 1, -1, -2, 1, 6, -1, 0, 1, -1, 2, -1, 2, 0, -1, -1, 0, -1, 0, -1, 0, 1, -1, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 2, 1, 1, 2, -2, -1, -2, -1, 0, 2, -1, -1, -1, 1, 1, 1, -1, 2, 1, 4, 0, 1, 2, 0, 0, 0, -2, -2, 0, -1, -1, 0, -1, -1, 1, 1, 0, 2, 1, 1, -2, 0, 4, 1, -2, 0, 0, -2, 2, 1, 2, -1, 1, -1, 0, 1, 2, 1, -1, 0, 1, -1, 1, 1, 1, 4, -1, 1, -1, 1, 0, 0, 1, 0, 0, 0, -1, 1, 0, 2, -1, 1, 1, 1, 2, 2, -2, -1, 6, -1, 2, 0, -1, -2, -3, -1, -2, 2, -1, -1, 0, -1, 2, 1, 1, 2, 1, 0, 0, 1, -1, 4, -1, 0, -2, 0, -1, -1, 1, 1, -1, -1, -1, 2, 1, 0, -2, 1, 1, 0, 0, -1, 2, -1, 4, -1, 1, 0, 0, -1, 1, 1, 1, -1, 1, -1, 1, 0, 1, 1, 2, 0, -2, 1, 0, 0, -1, 4, -2, -1, -1, 1, -1, 1, 0, 1, -2, 0, -1, 0, 0, 1, -2, -2, 2, 0, -1, -2, 1, -2, 6, 1, 1, 0, 1, -1, 0, 1, 2, -1, 0, 0, 2, -1, -1, -2, 1, 0, -2, 0, 0, -1, 1, 4, 2, 1, 1, -1, 0, 0, 1, 0, 0, -2, -1, -1, -2, 0, 2, 1, -3, -1, 0, -1, 1, 2, 6, 0, 1, -3, 1, 1, 1, 1, -1, 0, 2, -2, -1, -1, -1, 0, -1, -1, -1, 1, 0, 1, 0, 4, 0, -1, 0, 0, 0, -1, -1, -2, -1, -1, 0, -1, 1, 0, -2, 1, 1, -1, 1, 1, 1, 0, 4, -1, 1, -1, 1, 0, 1, 0, -1, 0, 2, 0, -1, 0, 2, 1, 1, 1, -1, -1, -3, -1, -1, 4, -1, 0, -1, 0, 0, 0, 0, 2, -1, -1, 0, -1, -1, -1, 1, 0, 0, 0, 1, 0, 1, -1, 4, 0, -1, -2, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, 1, 1, 0, 1, 0, -1, 0, 0, 4, 0, 0, -2, 0, 2, 0, -1, 1, 2, 0, 0, -1, 1, -2, 2, 1, 1, 0, 1, -1, -1, 0, 4, 0, 0, 0, 1, 0, 1, 1, 1, 2, -1, 2, -1, 0, -1, 0, 1, -1, 0, 0, -2, 0, 0, 4, 0, 1, 0, 0, 1, 0, -1, -1, 2, 1, 1, -1, 0, 0, -1, -1, 1, 0, 0, -2, 0, 0, 4, 0, -1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 1, 0, 4, 2, 1, -1, 1, 1, 1, 1, -2, 1, 0, 2, -1, 2, -1, -1, 0, 0, 2, 1, 0, -1, 2, 6, 0, 2, 1, -1, 1, 2, 1, 1, 1, -1, -1, -2, -1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 0, -2, 1, 0, -1, -2, 1, -1, 0, 2, -2, 1, 4, -1, -2, 2, -1, 2, 0, 2, 1, -1, 1, -2, -1, -1, -2, -1, 1, -1, 0, 2, -2, -1, -1, 4, 0, 0, 0, 0, -1, 0, -1, 0, 1, 2, 0, -1, 0, 0, -1, 1, 0, -2, 2, -1, -2, 0, 4, -1, -1, 0, -1, 0, -1, 1, -1, 2, 0, 0, 2, 0, -1, 0, 0, -1, 1, 1, 2, 0, -1, 4, -1, 1, 0, 1, 1, 1, 1, 0, 0, -2, 0, 0, 1, 0, -1, 2, 0, 1, -1, 0, -1, -1, 4, -2, 0, 0, 1, 1, -1, -1, 0, 2, -1, 0, -1, -1, -1, -1, 1, 1, 2, 0, 0, 1, -2, 4, 0, 2, -1, 0, 0, 0, 0, -2, -1, -2, 1, -1, 1, 1, -2, -1, 0, -1, -1, 0, 0, 0, 4, 0, -1, -1, 0, 1, 1, 1, 0, 1, 1, 0, -1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 4, 0, 0, 0, -1, -1, 0, -1, -2, 0, -1, -1, 0, 0, 1, 1, -1, -1, 1, 1, -1, -1, 0, 4, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, 0, 1, 1, 1, 0, -1, 0, 0, 4, 0, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 1, -1, 1, -1, 0, 0, 0, -1, 0, 4, -1, 1, 0, -1, 0, 0, 2, 0, 0, 0, -2, -2, 2, 2, 0, -1, 0, 1, -1, -1, 0, -1, 6, 0, -1, 2, 1, -1, 0, 0, -1, 3, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 1, 1, 0, 4, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, 0, -2, 2, -2, 1, 0, 0, 0, 0, -1, 0, 4, 0, 0, -1, 0, -1, -1, 1, -1, -2, 0, 2, 0, -1, -1, 0, -1, 0, 1, -1, 2, 0, 0, 4, 1, 0, 1, 0, 0, 2, -2, -1, 0, 0, 0, 0, -2, 1, -2, 0, 0, 0, 1, 0, 0, 1, 4, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 0, 1, -1, 0, -1, 1, -1, 0, 0, 4, 0, 1, 1, -2, -1, -1, 1, 0, 0, -1, -1, 0, -1, -1, 0, 2, 0, 1, 0, 1, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, -1, -1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, -1, 1, 0, 4, 1, -2, 2, 2, -2, -1, 2, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, 0, 1, 6, -3, -2, -2, 2, 1, 0, 1, -2, 1, 0, 0, 1, 0, 3, 0, 1, 2, 1, -2, 1, -2, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 2, 0, -2, 2, 0, -2, -1, -1, -1, 2, -2, 1, -1, -1, -2, 0, 1, -1, 0, 2, 4, 2, 2, -1, 0, 2, 1, -2, 0, 1, 0, 1, 0, -1, -1, -1, 0, 0, 2, -1, 1, 1, 2, 4, 0, -1, 0, 0, 0, -2, 0, -1, 1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 2, 2, 2, 0, 4, -1, -1, 2, 0, -2, 0, 0, -1, 1, 0, 0, -2, 0, 0, 0, 2, -2, -1, 0, -1, -1, -1, 4, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -2, 0, 0, -1, 1, 4, 0, 1, 2, 1, 2, 0, -2, 2, -2, 1, -1, 2, -1, 0, -1, 1, 2, 2, 0, 2, 1, 0, 4, 0, 0, 0, 0, -1, 1, -1, 0, -2, -2, 0, 0, 2, -1, -1, 0, 1, 0, 0, 1, 1, 0, 4, 0, 0, 2, 0, 1, 1, -2, 1, -1, 0, 1, 1, 0, 1, -2, -2, -2, -2, 2, 2, 0, 0, 6, -1, 2, -1, -1, 1, 0, 0, -2, 1, 1, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 4, 1, 2, -1, 1, -1, 0, 0, 2, -2, 0, 0, 0, -1, 1, -1, 0, 0, 2, 0, 2, 2, 1, 6, -1, 0, 2, -2, 0, -1, 2, 1, 0, -1, 1, -1, 0, 1, -1, 0, 0, -1, 0, -1, 2, -1, 4, 0, 0, -1, 0, 1, 1, -1, -1, 0, 0, 2, 1, 0, 1, 0, -2, 1, 1, -1, -1, 0, 0, 4, -2, 1, -1, 0, -2, 2, 1, 0, 0, -2, 0, 0, 0, 0, 2, -1, 1, 1, 1, 2, 0, -2, 4, -2, 1, 0, 2, -1, 0, 0, 1, 1, -1, 0, 0, 0, -2, 0, -2, 0, -1, -2, -1, 1, -2, 4, -1, 0, -2, 1, 0, 0, 0, -1, -1, 1, -2, 0, 1, -2, 1, 0, 0, 0, 0, -1, 1, -1, 4, 1, 0, -1, -1, 2, 2, -1, -1, 0, 0, -1, -1, -2, -1, -2, 0, -1, 1, 0, 0, 0, 1, 4, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, -2, 2, -2, 0, 0, 4, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 1, -2, 1, -1, 2, -1, 1, -1, 0, -1, 4, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, -1, 0, 0, -1, 1, 0, 0, -1, -1, 0, 0, 4, 0, 0, -1, -1, 1, -2, -1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 6, 0, 0, 1, 2, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 2, -2, 1, -2, 0, -2, 2, 2, -1, 0, 1, 2, 2, -1, 1, 0, -1, 0, -1, 4, 1, -1, -2, 0, 1, 2, 0, 0, -2, 0, 0, -1, 0, -1, 1, 2, 0, -1, 0, 1, 0, 1, 4, -1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, -2, 0, 1, -1, 0, -1, 2, 2, -1, -1, 4, 1, -2, 0, -1, 1, -2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, -2, 0, 1, 4, -1, -1, -1, 0, -1, 1, 1, 0, 1, 1, 0, 1, -2, 0, 1, -1, 0, -2, 0, 1, -2, -1, 4, 0, 0, 1, 2, -1, -2, 0, 0, -1, -1, -2, 0, -1, 0, 1, 1, 1, 1, 2, 0, -1, 0, 4, -1, 0, 0, 1, 1, 1, -1, 1, 0, 0, 2, -1, -1, 0, 2, -2, 2, 0, -1, -1, 0, -1, 4, 0, 1, -2, -1, 0, 0, -1, -2, 0, 1, -1, -1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 4, 1, 0, 0, 0, 2, 0, -1, -1, 0, 0, 0, 1, 1, -2, 0, 1, -2, -1, 2, 0, 1, 1, 4, 0, 0, 0, 0, 0, -1, -2, 0, -1, 0, 1, 1, 2, -2, 0, 1, 1, -1, 1, -2, 0, 0, 4, 2, 0, 0, 0, 2, 0, -1, 1, 1, -1, 0, 2, 0, 0, 0, 1, -2, 1, -1, 0, 0, 2, 6, 1, -1, 1, 2, 2, -1, 2, -1, -1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4, 1, 1, -1, 0, 1, -1, -1, -1, 0, 0, -1, 1, 1, 1, 0, -1, 0, 2, 0, 0, -1, 1, 4, 0, -2, -1, -1, 0, 1, -1, 0, 1, 0, 1, 0, 1, -1, 1, -1, 0, 0, 0, 1, 1, 0, 4, -1, 1, 1, 0, -1, -1, 0, 2, -1, -2, 2, 0, -1, 0, -2, -1, -1, 2, 2, -1, -2, -1, 6, 2, -1, 1, 0, 0, 0, 2, 1, 0, 1, 1, -2, 0, 0, -1, -2, 0, 2, 0, -1, 1, 2, 4, 0, 1, -1, -1, 0, -1, 2, 1, 0, -2, 0, 2, 1, 0, 0, -1, -1, 1, -1, 1, -1, 0, 4, -1, -1, 1, 1, 1, 0, -1, 0, 0, -1, -1, -1, 0, -1, 1, 2, -1, 0, 0, 1, 1, -1, 4, 0, -1, -1, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 1, -1, -1, 1, -1, 0, -1, -1, 0, 4, 0, 0, -1, 0, -1, 0, -1, 1, 0, 1, 1, 1, -1, -1, -1, -1, -1, 0, -1, 1, -1, 0, 4, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 2, -1, -1, 1, 1, 1, 2, -1, 2, 1, -2, -2, -1, 1, 0, 1, 1, 4, 0, 0, 2, 0, 0, 1, 0, 2, -1, 0, 0, -1, 1, 1, 1, 0, -1, 2, -1, -1, -1, 0, 4, 0, -1, 0, 0, 1, 0, 1, 1, 1, 0, -1, -2, 0, -1, 2, -1, 1, 1, 0, -1, 0, 0, 4, -2, -2, -1, -1, 1, 0, 0, 1, -1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, -1, -2, 6, 1, 2, 0, -2, 0, 0, 0, 2, -1, 1, 2, 1, -3, -1, 0, 0, 1, 1, 0, 0, -2, 1, 4, 2, -1, -1, 0, -1, 0, 1, 1, 0, 0, -2, -1, 0, 0, 0, -1, 2, 0, 0, -1, 2, 2, 4, -2, -2, 0, 1, 0, 2, -1, 0, 0, -1, -2, 0, 0, 0, 1, -1, 1, 1, -1, 0, -1, -2, 4, 0, 0, 0, -1, -1, 0, -1, 1, 1, 1, -1, 1, 0, -1, -1, 0, 0, 1, -2, -1, -2, 0, 4, 0, -1, 1, -1, 0, 1, 0, -1, 2, 0, -1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 4, -1, 0, 1, 0, 1, -1, -1, 1, 0, 2, 0, -1, 1, -1, 1, 0, 0, -1, 1, 0, -1, -1, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 4, 0, 0, 0, 1, -1, 0, -2, 0, 0, 1, 2, 0, 0, -1, 2, 1, 2, -1, -1, 1, 0, 0, 4, -1, 1, 0, -2, -2, -1, 0, 1, 1, -1, -1, -1, 0, -1, 1, -1, 0, 0, 0, -2, 0, -1, 4, -1, -1, 0, 1, 1, 0, 0, -2, 2, 1, -2, 0, 1, 0, 0, -1, 1, 1, 0, 0, 1, -1, 4, 0, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 4, 0, 0, -1, 0, 0, 1, -2, 1, -1, 1, 1, -2, -1, 1, -1, -1, 0, -1, -2, 0, -1, 0, 6, -1, 1, 0, -2, 0, -2, 0, 2, 2, -3, -1, -2, 1, 2, 1, 0, 0, -2, 1, -1, 0, -1, 6, 1, 1, 2, -1, -1, -1, -1, 0, -1, 0, 0, -1, 0, 0, 0, -2, -1, 1, 0, -1, 1, 1, 4, -1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 1, -1, 4, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, -2, 2, 0, 0, 4, 0, 1, -1, 0, 0, 1, -1, 1, -1, 0, -1, 2, 1, 1, -2, 1, 1, 0, -1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, -1, 0, 0, -2, 1, -1, 1, 0, -1, 0, 1, -2, -1, 1, 2, 0, 1, -2, 4, 2, 1, -1, -1, 0, 1, 2, -2, -1, -1, -1, 0, -1, -1, 2, 0, -1, -1, 1, 1, -2, 2, 4, 1, 0, -1, -1, 0, 2, -1, 0, -1, 1, 1, -1, 0, 2, -1, 0, -2, 0, 1, 0, 1, 1, 4, -1, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, -1, 2, -2, 0, -1, 0, -1, 1, -1, 0, -1, 4, -1, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1, -2, 1, 2, 1, 1, 0, -1, -1, -1, 0, -1, 6, -1, -2, -1, 1, 3, 2, -1, -1, 1, 1, 2, 0, -2, -2, -2, -1, 0, 0, -1, 0, 0, -1, 4, 1, 0, -1, 0, 0, 0, 1, -1, -1, -1, 1, 1, 0, 1, -2, 0, 1, 0, 0, 1, -2, 1, 4, 0, -1, -2, 0, -1, 0, 1, -1, -2, 1, 0, 2, 1, -1, -2, 2, 2, 1, 0, -1, 0, 0, 4, 0, 0, -2, 0, 1, -1, 0, 1, 0, 0, -1, 0, 1, 1, -2, -1, 1, -1, 1, -1, -1, 0, 4, 1, 0, 1, 0, 1, 1, 0, -1, 0, 1, -2, 0, -1, -1, 0, 0, -1, 3, 0, -2, 0, 1, 4, 0, 1, 1, 0, 1, 1, 0, -1, -1, -1, 0, 1, -1, -1, 1, 0, 2, 0, 0, -2, 0, 0, 4, 0, -2, 2, 0, 1, 0, 0, -1, 0, -2, 0, -1, 1, 0, -1, -1, 0, -1, 0, 1, 1, 0, 4, 2, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, -1, -1, 1, 0, 1, 0, 1, -2, 2, 4, -1, 0, -1, 0, 0, 0, -1, 1, 0, -1, -1, 1, 0, 1, -1, 1, -1, 1, 0, 2, 0, -1, 4, -1, 0, 0, 0, 1, 0, -2, 1, -1, 0, -1, 1, 1, -1, -1, 0, 1, 1, 0, 1, 0, -1, 4, -1, 0, 0, 1, -1, 2, -2, 2, 2, 2, -2, 2, -1, -2, 1, 0, 1, 1, 0, -1, 0, -1, 6, -1, -1, -4, 0, -1, -1, 0, -1, -2, 1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 4, 0, 1, 1, -1, 1, -1, 0, 0, 2, -2, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 4, 0, 1, 0, 2, -1, -2, -1, 1, -2, 0, 2, -1, 1, -1, -1, 0, 0, 1, 1, -4, 1, 0, 6, 1, 1, 0, 1, 0, 0, 1, -2, 1, 1, 0, -2, -1, 0, -1, -1, 0, -1, 0, 1, 1, 1, 4, -1, 1, 1, 1, -1, 0, -1, -2, -1, 1, 0, 0, -2, 0, 1, -2, 2, -1, -1, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 1, -1, 1, 1, 1, 0, 1, -2, -1, 1, -1, 0, -1, 0, 0, 1, 2, 1, 4, 1, -1, -2, -1, -1, 2, 0, 0, 1, 1, 0, -1, 1, -1, -1, -2, 1, 0, 0, 1, -1, 1, 4, 0, 0, -1, 0, 0, -1, -1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, -1, -1, 1, -1, 0, 4, -1, 0, -1, -2, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -2, 1, 0, 0, -1, -2, 0, -1, 4, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1, 1, 1, 2, 0, 0, -1, 0, 1, -1, -1, 0, 0, 4, -1, 1, 0, 0, -1, 0, -2, -1, -1, -1, 2, 1, 1, 0, 0, 1, -1, -1, 0, -1, 0, -1, 4, -1, 0, 1, 0, -2, 0, 2, -1, -1, 0, 1, -1, 0, 0, -1, 1, 2, 0, -2, 0, 1, -1, 4, 1, 1, -1, 1, -2, -1, 0, -1, 0, -1, 2, -1, 0, 2, 1, 0, -1, -1, 0, 0, 0, 1, 4, 2, 0, -1, -2, 1, 1, -1, 0, 0, 1, -2, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, 2, 4, 0, -1, -2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, -1, -1, 0, -1, 0, 0, 4, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, -2, 1, -1, -1, -1, 4, 1, -2, 0, 0, 0, -1, 0, 0, -1, 0, -2, 0, 2, 1, -1, -2, 0, -2, -2, -2, 1, 1, 6, 0, 1, 1, 0, -1, 0, 1, 0, -2, -1, -1, 0, -1, 0, -1, 2, -1, 1, 0, 0, -2, 0, 4, -1, 0, 0, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 0, 1, 1, 1, 0, 1, -1, 4, 0, -1, -2, 1, 1, 0, 1, -1, -1, 0, 1, 1, -1, -1, -1, -1, 0, 0, 0, 1, 0, 0, 4, 0, 0, -1, 1, 1, 0, 0, -1, 1, -1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 4, 2, 1, 0, 0, 0, -1, -2, 0, -1, 2, 1, 1, -1, 0, 0, 0, -1, -1, 1, -2, 0, 2, 4, 0, 0, 0, -1, 0, 1, 0, -2, 0, 1, -1, 2, 1, 1, 0, 0, 0, -1, 1, -1, 1, 0, 4, -1, 0, 1, 0, 0, 1, 1, 0, 0, 0, -1, -2, 0, 0, 0, 1, -1, 1, 1, 0, 0, -1, 4, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 1, 4, 0, 2, 1, -1, 0, 0, 1, -1, 2, 1, 1, 0, 0, -2, -1, 1, 0, 0, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, 2, -1, -2, 0, 1, 2, -2, -2, 2, 1, 0, 0, -1, -2, 0, 0, 0, 0, -1, 4, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, -1, 1, -1, -1, 0, 0, 1, 0, 1, -2, 0, 4, -2, -1, -1, 1, 0, -1, -2, 1, 1, -2, 1, 0, -1, 1, 2, 0, 0, -1, 1, 2, 0, -2, 4, 0, -1, -2, 1, 0, 2, -1, 0, 2, 1, -1, 0, -2, -2, 0, 1, 0, 0, 2, 0, -1, 0, 6, -1, -2, -1, 3, 0, -3, -3, 3, 0, 2, -1, 1, 0, -2, -1, 0, -1, -1, 2, -1, -1, -1, 6, 3, 1, 1, -1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 3, 6, 2, -1, -2, 2, 2, 0, 0, 0, 1, 2, 2, 2, -1, 2, 2, 0, 1, 0, 1, -1, 1, 2, 4, 0, 0, 1, 0, 0, 1, 0, 1, -1, 0, 0, 1, 0, 2, 1, 1, -1, 0, 3, 1, -1, 0, 4, 0, -2, -2, 2, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, -2, 2, 0, -1, -2, 0, 0, 4, 0, -1, 0, -1, -1, 0, -2, -2, -1, 0, 0, 0, -2, 1, 1, -1, -3, 1, 2, 1, -2, 0, 4, 2, -2, -1, -1, 0, 0, 0, 0, 1, 1, 1, -2, 1, 1, 0, -3, 1, 2, 0, -2, -1, 2, 4, -1, 0, -1, 0, 0, 0, 2, 0, 1, 1, 2, 0, -2, 2, 3, 0, 0, 0, 2, 0, -2, -1, 6, 1, 1, -1, 1, 0, 0, 0, 1, -1, 1, -1, 1, 1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 4, -1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, -1, 2, 0, 0, 0, 1, -1, -1, -1, 1, -1, 4, 0, 1, 1, -1, 0, -1, -1, 0, -1, -1, 0, -1, 2, 1, 1, 0, 0, 0, 0, -1, 0, 0, 4, 1, 0, 0, 0, 0, 1, -1, -1, 1, -2, 1, 1, 2, -1, 0, -2, 0, 0, 1, 0, 1, 1, 4, 2, 0, -1, 1, 0, -2, 0, 2, -2, 0, 1, 2, 0, 0, -2, 0, 0, 0, 0, 1, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, -1, -1, 0, 2, 0, 1, -1, 0, 0, 0, 4, -1, 1, 1, 0, 1, 0, 1, -1, 1, -1, 1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, 4, 0, 0, 0, 0, -1, 0, 0, 1, 2, 0, -1, 0, 1, 1, 1, 0, -1, 0, 1, 0, 1, 0, 4, 0, 0, 1, 1, 0, -1, 1, 2, 2, 0, 0, 1, 1, -1, 1, -1, 1, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, 0, -1, 1, 0, 2, 0, -2, -1, -2, 1, -1, -1, -1, 1, 0, 2, -2, -2, 4, -2, 1, -2, 0, 1, 1, -1, -2, 0, 0, 2, 0, 0, 1, 2, 0, -1, 0, -1, 1, 2, -2, 4, 1, 0, 1, 0, -1, 1, 2, -1, 0, -2, -2, 1, -2, -2, -1, 2, 0, 0, 0, 0, 1, 1, 4, -2, 0, 0, -1, 0, 1, 0, -1, -1, 0, -1, -2, -1, -2, 1, 0, -2, 2, 1, -2, 0, -2, 6, -2, 1, 0, 1, 0, 2, -2, 0, -1, 2, 2, -1, 2, 0, 1, 3, -3, 0, 0, 1, 0, -2, 4, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, -1, 1, -1, 1, 0, 0, 1, 1, 6, 0, -1, -1, 1, -1, 2, -2, 1, 1, 0, 0, 1, 2, -1, -2, 1, 1, -1, -1, 0, 1, 0, 6, 0, -1, 2, -3, 0, 1, 1, 1, 2, 0, -2, 1, 0, 0, 0, -1, 1, 0, 1, -1, -1, 0, 4, 0, 0, 1, -1, 1, 1, 1, -1, 1, 0, 0, -1, 1, 2, -2, 2, 1, 0, 0, -1, -1, 0, 4, 0, -1, -2, -1, -1, -2, -2, -1, 2, 0, 0, 0, 0, 0, -1, 0, 2, 0, 1, 2, 0, 0, 4, -2, 0, 0, 1, 1, 0, 1, -1, 1, 0, 0, -2, 0, 0, -1, -2, 0, -1, -3, 1, -1, -2, 6, 1, 1, 0, 0, 0, 1, 0, -1, -1, 1, -1, 2, -2, -1, 0, 0, 2, 0, -1, -2, 0, 1, 4, 0, 1, 2, 2, 1, 0, 0, 1, -1, -2, 0, -2, 0, -1, 0, -2, 1, 1, -1, 0, 1, 0, 6, -2, 0, 1, 1, -1, 0, -2, 3, 1, 0, 1, -1, 2, 0, 1, 1, 1, -1, 1, 0, 1, -2, 4, 1, 0, 1, 0, 0, 2, -1, -1, 1, -2, -2, 2, -1, 1, 1, 1, -2, 1, 0, 2, 0, 1, 4, 1, 2, -1, 0, 1, -1, -1, 2, -2, -1, -1, 1, 0, 2, -1, -2, 0, 0, 2, 1, 0, 1, 4, 1, -1, -1, 0, 0, -1, 0, -1, -2, 2, 0, 0, 0, 1, -1, 1, 1, 1, 1, 1, 2, 1, 4, 0, 0, 1, 0, 1, -1, 2, 1, 0, 1, 1, -2, 0, 2, -1, 0, 0, -1, 0, -1, -1, 0, 4, -1, 0, 0, 0, 0, 0, 0, 1, -1, 2, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, -1, 4, 0, -1, 2, -1, 0, -2, 3, -1, -1, 0, -1, 0, 0, -1, 1, -2, 2, 1, 0, 1, 0, 0, 6, -3, -2, 1, 0, 2, -3, 1, -2, 0, 1, 0, 0, 1, -1, 3, -1, -1, 0, 0, 0, -1, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, 0, 0, -2, -2, -1, -2, -2, -1, 1, 1, -2, 1, 2, 1, -1, 0, 0, 1, 0, 4, -1, -1, 0, -1, 1, 0, -2, -1, 1, 1, 1, 1, 0, -2, 0, 2, -1, -1, 0, -1, 1, -1, 4, -1, -1, -1, 0, -1, 1, 1, 0, -1, 1, 1, -2, 2, -1, 1, 0, -1, 0, -1, 1, -1, -1, 6, 2, 1, 0, 2, -1, -2, 0, -2, -2, -2, 1, 2, 0, -1, 1, 1, -2, 0, 0, 0, -1, 2, 4, -1, 0, 0, -2, -2, 0, 0, 0, 0, 2, 1, 0, 1, -1, 2, -1, 0, 0, -1, -1, 1, -1, 4, -1, 2, 1, 0, -1, 0, -2, -2, -1, 1, 1, -2, 1, 1, 0, 2, -2, 1, 0, 0, 0, -1, 4, 2, -1, 0, 2, 1, -1, 0, 1, 0, -2, 0, 0, -1, 0, -1, -2, 0, -1, 2, 0, 2, 2, 6, 1, 1, 1, 0, -2, -3, 1, 0, -2, -1, 1, -1, -2, 0, -1, -2, 1, -1, -2, 1, -1, 1, 6, 2, 0, -2, 1, -1, 0, -1, 0, -1, 0, -2, 1, 0, -2, -1, 1, -2, -2, 0, 0, 1, 2, 6, 0, 1, 0, 0, 0, -2, -1, 0, 2, 0, -1, -1, -2, 1, 0, 0, 0, -1, 2, 1, 0, 0, 4, 1, 0, -1, 1, 0, -2, 0, 1, -2, 0, -1, -1, 1, -1, -2, 0, 0, 1, 0, -2, 1, 1, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 0, -2, -1, -2, 1, 0, 0, 0, 4, 2, 0, -1, 1, 2, -2, -2, 1, -1, 1, 1, 1, -2, 0, -2, 0, -3, -1, 0, -1, 0, 2, 4, 0, -1, 1, 2, -1, 0, 1, -1, -2, 0, -2, 1, 2, -1, 1, 1, 0, 0, 1, 0, 0, 0, 4, -1, -1, 0, 0, 0, 0, -1, 1, -2, 2, 2, 1, 1, 0, 0, -1, -2, 0, -1, -1, -1, -1, 6, 0, -1, 0, 1, 0, 1, 2, 0, -1, 0, 0, 1, -2, -2, 0, -1, -2, 0, 1, 1, -1, 0, 4, 0, -1, 1, 1, 2, 1, 2, 1, -1, 1, -2, 0, -1, -1, 0, 0, 0, 2, 2, 0, -1, 0, 4, -1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 0, 1, 0, 2, 1, 0, -2, -1, 0, 0, -1, -1, 4, 0, -1, 0, 0, -1, -1, 1, 2, 1, -1, -1, -2, 0, -2, 0, -2, 0, 0, 1, 1, 0, 0, 6, 0, 1, 0, 0, 0, -2, -1, 0, 0, -2, 1, -1, 0, 0, 1, 1, 0, 0, 1, 0, -1, 0, 4, 0, 1, -1, -1, 0, 0, 2, -1, 0, 0, -1, -1, 1, -1, -1, -1, 1, 2, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, -2, -1, -1, -2, 0, 1, 1, -1, 1, -1, -2, -2, 0, -2, 0, 1, 1, 0, 4, -1, -2, -2, -1, 1, 0, 0, -1, -1, 2, 0, 0, 1, 1, 0, 2, -1, 0, 2, 1, 1, -1, 6, -2, 1, 0, -2, -1, -1, -1, 0, 2, -1, -2, -2, 2, -3, -1, -1, 1, 2, 0, 0, -2, -2, 6, 2, 2, 2, 1, 0, 3, 1, -2, 0, 2, 1, -3, 3, -2, 2, 0, -2, 0, 0, -2, 1, 2, 4, 2, 1, -1, -1, 2, 0, -2, 1, 0, 0, 0, 0, -2, 1, -1, -2, 0, -2, -1, 0, 2, 2, 4, 2, 1, 1, 2, -1, -2, 0, -1, 0, 1, 2, -2, 2, 0, -2, 0, -1, 1, -2, 2, 1, 2, 6, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, -1, 1, -2, 0, 2, -1, 0, -1, 1, -1, 1, 2, 4, 0, 0, 1, 0, -1, 1, 0, 1, 0, 0, 1, 1, 0, 0, -2, 0, -1, 0, -1, 1, 0, 0, 4, -1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, 3, 2, 2, 1, 0, -1, 4, 0, -2, 0, 1, 0, -1, 2, -2, 2, 0, -2, 0, 1, -1, 0, 1, 0, -1, 1, 1, 0, 0, 4, 0, 1, 2, 0, 0, -2, -1, 0, 0, 0, 0, 1, 2, 2, -2, -2, -2, 0, 0, -1, -2, 0, 6, -2, 0, -1, 1, -1, 2, -1, 1, 3, 0, -1, 0, -1, 0, 1, 0, 1, -1, 1, 0, 1, -2, 4, 0, 2, 0, 0, 0, 0, -1, 0, 1, 1, 0, -2, 2, 0, -1, 1, 1, -1, 1, 2, 0, 0, 4, 0, -1, 0, 0, 0, 0, 0, 0, -1, 1, -2, 1, 0, 0, 2, 0, 0, 0, 0, -1, 2, 0, 4, -1, 1, 0, 1, -1, 0, 1, -2, 1, 2, -3, 0, 1, 1, 1, 0, -1, 0, 1, 0, -1, -1, 6, -1, 0, 0, 0, 1, 0, -2, 0, -3, 3, 0, 2, 1, 0, 1, 2, -2, -1, 0, 0, 1, -1, 6, 0, 2, 0, -1, 0, 0, 2, -1, -2, -2, -2, -1, 0, 0, -2, -1, 2, 0, 0, 0, 0, 0, 4, -1, 1, 2, 0, -2, -1, -1, 2, 1, 2, 1, 1, 0, 2, 0, -1, 0, 0, 1, 0, 2, -1, 4, 0, -2, -1, 0, 0, 1, 0, -1, 0, -2, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1, 0, 4, 1, -1, 1, 2, 2, -2, -2, -2, 0, 0, -1, -2, 0, 3, 0, 0, 0, 1, -1, 2, -2, 1, 6, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -2, -1, 2, 0, 0, 0, 2, 1, 0, 1, -1, -1, 0, 2, -2, 0, 0, 1, -2, 4, 1, -1, 2, -1, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 4, 1, 1, -2, 1, 1, -1, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, 1, 1, 1, 1, -1, 1, 4, -1, -1, -1, -1, -1, -1, 0, 0, 1, 2, -1, -1, 0, -1, 0, 1, 1, 0, -2, 2, 1, -1, 4, 0, -1, 1, 1, 0, -1, 0, 0, -2, 0, 1, -1, 0, 1, 1, 1, -1, -1, -1, -2, -1, 0, 6, -2, 1, 1, 2, -2, -2, 2, 1, -1, 0, -2, -2, 0, 0, 0, -1, 2, 0, 1, -1, -1, -2, 6, -1, 1, -1, 1, 0, 0, 0, -1, 1, 2, 4, -1, -2, -2, 1, 0, 0, 1, -1, 1, 1, -1, 4, -1, 2, 1, -1, 1, -1, 1, 0, -2, 1, -1, 1, 2, 1, 0, 1, -1, -1, 1, 1, 1, -1, 4, -1, -1, 1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 2, -1, 2, -1, 4, 1, -1, 0, 0, 1, 0, -2, -1, 0, 1, 1, 1, 2, -1, 1, 0, -1, -2, 1, 1, -1, 1, 4, 0, 0, 0, 1, 0, 0, 1, -1, 0, 1, 1, 1, 1, 0, 0, 0, -2, 0, -1, 1, -1, 0, 4, -2, -1, 0, -1, 1, 0, 0, 1, 0, 1, 0, -1, 1, 1, 0, 2, 0, 1, 0, 0, 0, -2, 4, 1, -1, 0, -1, 0, -1, 0, 1, 0, 1, -1, 0, 2, -2, 1, 0, -1, -1, 0, 0, -1, 1, 4, -1, -1, 1, -1, 0, -1, 0, -1, -1, 0, 0, -1, 0, -1, -1, 1, -1, 1, 1, 0, -1, -1, 4, 1, 0, 0, 0, 0, 1, 1, -1, 0, -1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 1, 4, 1, 1, 1, -1, 0, 0, 0, 1, 0, 0, -1, -2, 2, -2, 0, -2, 0, 1, -1, 1, 0, 1, 4, 1, 1, -2, -1, 0, 2, 0, 1, -1, 0, -2, 4, 1, 0, -1, 1, 0, 0, -1, 0, 1, 1, 6, -1, -1, 0, 1, -2, 2, -1, 0, 1, 0, -1, -1, 0, 0, -1, 0, -1, 0, 0, 1, 1, -1, 4, -1, 0, -1, 0, 0, 1, 1, 1, 0, -2, 1, 0, 1, 0, 1, 0, -1, 0, -1, -2, -1, -1, 4, 2, 1, 0, 0, 1, 1, 1, 0, -2, 2, -1, 1, 1, 0, 1, 0, 1, 0, -1, 0, 0, 2, 4, 0, 1, 0, 1, 0, -1, -1, 1, 1, 0, 1, 1, 1, 0, -1, 1, 0, 0, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 0, -2, 1, 1, 0, 1, -1, 1, -2, 1, 0, -1, -1, 1, -1, 1, 0, 2, -2, 4, -2, -1, 1, 1, 0, -1, 1, -2, 1, -2, 2, 0, 0, 0, 2, 0, -1, 0, 0, 0, 2, -2, 4, 0, -1, -2, 0, 0, -1, 2, -1, 1, -2, 0, -1, 1, 0, 0, 1, 1, -1, 1, 1, -1, 0, 4, 1, 0, -1, 0, 0, 1, 0, 2, 0, 1, 0, -2, -1, 1, 0, -1, 0, 0, 0, 1, -1, 1, 4, 1, 1, -1, -1, -2, -1, 1, 1, 2, -1, -2, 1, 2, -1, -1, 1, 0, -2, 1, -2, 0, 1, 4, -1, 0, -1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, -1, 0, -2, 1, 0, 0, -1, 1, -1, 4, 1, 1, -2, 0, 1, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, -1, 0, 1, 4, 1, 1, 1, 0, 0, -1, 2, 1, -2, -1, 1, 1, -1, -1, 0, 1, -1, 0, -1, -1, 1, 1, 4, 0, 1, 0, 0, -1, 1, 0, 0, -2, -1, 1, -1, 1, 1, -2, 2, 1, -2, 0, -2, 1, 0, 6, 0, 2, -2, -1, 0, 1, -1, -1, 1, 0, 0, -1, -1, 1, -1, 0, -1, 1, 0, 1, 1, 0, 4, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, -2, 1, -2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 6, -2, 2, 0, -1, 0, 1, 1, -1, 0, -2, -2, 2, -2, 0, 1, 2, 0, 0, 0, -2, 1, -2, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, -1, -1, -1, 0, 2, -1, 4, -1, -2, 1, 2, -1, -1, 1, 0, 0, 0, -1, 0, -1, 1, 0, 2, 1, 0, 0, 0, 0, -1, 4, 0, -1, -1, 1, 0, -1, -1, -1, 0, 1, -2, -2, 0, -1, 1, 0, 1, 1, -1, 0, -2, 0, 4, 0, -1, 2, 2, -1, -1, -1, 2, 0, -1, 1, 1, 0, -2, 0, -1, 1, 0, 0, 1, -1, 0, 4, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, -1, -2, -1, 0, 1, 0, 2, -1, -1, 1, 4, 0, 0, 1, 0, -1, -1, 1, 0, -1, 1, -1, 1, -1, 1, 1, 1, 0, -1, 1, 2, 0, 0, 4, 0, -1, -2, 1, 0, 1, -1, -1, -1, 0, 1, 1, 0, 1, -1, 0, -1, 0, 2, 0, 0, 0, 4, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 1, -1, 0, 4, -1, 2, 0, 1, 0, 0, -2, 0, -1, 1, -1, -2, -2, 0, 0, -1, -1, 0, 0, -2, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, 0, -2, 1, -1, 1, 1, 0, 0, 0, -1, 2, 0, -1, 0, 0, -2, 0, -2, 6, 2, -2, -2, 2, 2, -2, 0, -2, -3, 1, 0, 0, -1, -1, -2, -2, -2, -2, 0, 2, 0, 2, 4, -2, -1, 2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, -2, -2, 1, 1, 0, -2, -2, 4, 2, -2, 0, -1, -1, 0, 0, -1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, -1, -2, -1, 2, 4, -2, 1, 0, 1, 0, 1, 0, 0, 0, 1, -1, 2, 1, 2, 1, 1, -1, 0, 2, 2, -2, -2, 4, 0, 0, 1, 1, 0, 1, -1, 1, -1, 0, -1, 0, -2, -2, 0, 0, -2, 2, 0, 0, 1, 0, 4, 0, 1, 0, -2, 1, -1, 1, 0, -2, -1, -1, -1, -1, 0, 1, 1, -2, 0, -1, 0, 0, 0, 4, 0, 2, 1, 1, 0, -1, -1, 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, -1, 1, 1, 1, 0, 4, 0, 1, 1, -2, 0, 1, -1, 1, 1, 0, -1, 1, -1, 1, -2, 0, 0, 0, 1, 0, 2, 0, 4, 1, 1, 0, 0, -1, 0, 0, 1, -1, 0, -1, 0, 1, -3, 0, 0, 1, 0, -2, 1, 1, 1, 4, -1, -1, -1, 0, 0, 1, 2, 1, 1, 0, -1, 0, 1, 0, -1, 0, 1, 1, 1, 1, 1, -1, 4, -1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, -1, -1, 0, -2, 0, -1, -1, 4, 0, -1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, -1, 0, 0, -1, 0, 0, 4, 1, 0, -1, -1, 0, -1, 0, 0, -1, -1, -1, 1, 1, -1, 0, -1, 1, -1, 0, 0, -1, 1, 4, -1, 1, 1, 2, 0, 0, -1, 2, -1, 0, 0, -1, 0, -2, 0, -1, 0, 0, 0, 1, 0, -1, 4, 1, -1, 0, 1, -1, 0, 0, -2, -1, 1, 2, -1, -1, 0, 1, 0, 1, 0, 0, -1, 1, 1, 4, 1, 2, 1, 0, -2, -1, -2, 0, 0, 1, 0, -1, 1, 1, 1, 2, -1, 0, -1, 1, -1, 1, 4, 1, 1, 2, -1, 0, -2, -2, 2, 2, -2, -1, -1, 0, -1, 1, -1, 0, 0, 2, 0, 2, 1, 4, 1, 0, -1, 0, -2, -2, 2, 1, -2, -1, 0, -1, 0, 1, -1, 1, -1, 0, 1, 1, 1, 1, 4, 1, 0, -2, 0, 1, 1, 1, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, -1, 0, 2, 0, 1, 6, -1, 0, 2, 1, 0, -1, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, -2, -1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, -1, -1, 2, 0, 1, 2, 0, 0, -1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 4, -2, -1, -2, -1, -1, -1, 1, -1, 1, 0, 0, -1, -1, 0, 1, -1, 0, 0, 1, 0, -2, -2, 6, -1, 3, 0, 2, 1, -1, 2, 0, -1, 2, 1, 1, -2, 1, 1, -2, 0, -1, 0, -1, -1, -1, 4, 0, 1, -1, 0, 0, -1, 1, 2, 0, 0, -2, 0, -2, 0, 1, 1, -1, 1, -1, -2, 3, 0, 4, 0, 1, 1, -1, 1, -1, 0, 1, 1, 1, 0, 0, 1, -1, 0, 0, 1, 2, -1, 0, 1, 0, 6, 2, 3, 3, 2, 0, 0, 0, 3, 1, -1, -2, 3, 1, 0, -1, 1, 0, -1, 2, -1, 1, 2, 4, 1, 1, 2, -1, 0, 1, 2, 2, 0, 1, 2, 0, 0, -1, -1, 1, -1, 1, 0, 1, 3, 1, 4, 1, 2, 0, -1, 1, 2, 0, 0, -1, 2, 1, 0, -1, 1, 2, 1, -1, 0, -1, 3, 1, 1, 4, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 2, -1, 1, 2, 2, 2, 1, 4, -1, 0, 0, 1, 0, 0, 1, 2, -1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -1, 0, 0, -1, 4, -1, 1, 0, -1, -1, 0, 0, 1, 0, 0, 1, -1, 0, -1, 2, 0, 0, 0, -1, 0, 0, -1, 4, 0, -1, -2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 4, 0, 1, -1, 1, 0, 1, 1, -1, 1, 1, -1, 1, 0, 1, 3, 2, 2, 1, 1, 0, -1, 0, 4, 1, 0, -1, 2, 0, 0, 0, 1, 2, -1, 1, -2, 1, 1, 2, 0, 0, 0, -1, -2, 1, 1, 6, -1, 0, 0, 1, 1, 0, 1, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, -1, 4, 1, 0, 0, 0, 1, 0, 0, 1, 1, -2, 0, -2, 1, -1, 0, 1, 0, 0, 1, -1, 0, 1, 4, 0, -1, 0, 1, -1, 1, -1, 1, 0, 1, 3, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, -2, 1, -1, 1, 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, -1, 0, 4, 0, -1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4, 1, 1, 1, 1, -1, -1, 0, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, 1, 1, 0, -1, 1, 4, 0, 1, 0, 0, 1, 1, 1, -1, 1, 0, -1, 1, -1, 1, 1, 1, 0, -1, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 1, 1, 1, -1, 2, 1, 1, 2, -2, -1, 2, -1, 1, -2, 0, 0, 1, 1, -2, 4, 1, -1, -1, 0, -1, 1, -1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 4, -1, 1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 2, -1, -1, -1, 1, 0, 2, 1, 1, -1, -1, 4, 0, -1, -1, 1, -1, 0, 2, -1, 0, 1, -1, -1, 2, -1, 1, 0, -1, -1, 1, -1, 1, 0, 4, -1, 2, -2, 2, 2, 1, 2, 1, 1, 0, -1, -1, 0, 1, 0, 0, 1, 1, 0, -1, -1, -1, 4, -1, -1, 2, -1, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, -1, 1, 1, -1, 0, -1, 2, -1, 4, -2, 2, 2, 0, 2, 0, -1, 1, -1, -1, 0, 0, -1, 1, 0, -1, 1, 0, 1, -2, -1, -2, 4, -2, -1, 0, -2, -1, 1, -1, 1, 0, 0, 0, -1, 1, 0, 2, -1, 0, -1, 2, 2, 2, -2, 6, 1, 1, 1, 1, 0, 1, 1, 0, -1, 0, -1, -1, 2, 1, -1, 1, 0, 2, -1, 2, -1, 1, 4, -1, 1, -1, 0, 0, -2, -1, 0, 0, 0, 1, 0, 1, 0, -1, 2, 1, 0, 0, 0, 1, -1, 4, 0, 0, 1, -1, 0, 2, -1, 1, -1, -1, 1, 2, -1, 0, -1, 2, 0, 2, -2, 1, 1, 0, 4, -1, -1, 2, -1, -1, 0, 0, 0, 1, 1, -2, 0, 0, 0, 1, 0, 0, -1, 1, -1, 0, -1, 6, 0, -2, 1, 0, 1, 2, 1, -1, 0, -1, 1, 0, 1, 1, -1, -1, 1, 0, 0, 1, -1, 0, 4, -1, 0, 0, 1, 0, -1, -2, 0, 2, 0, 2, -1, 0, 0, 1, -1, 1, 0, -1, 2, -2, -1, 6, 0, -1, -2, 0, 0, 2, 1, -1, 0, -1, -1, -1, 1, -1, 1, 1, -2, 0, -1, 1, 0, 0, 4, -1, 0, 0, 0, 0, 1, 1, 0, -1, 2, -1, 1, -1, 0, 0, -1, 2, -1, 0, 0, -1, -1, 4, -1, 0, 0, -1, 0, -2, 0, -1, -1, 0, -1, 0, 0, -1, 0, -1, 0, 1, 1, -2, 0, -1, 4, -1, 0, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, -1, 4, 0, 1, 1, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 4, 1, 0, 1, 0, 2, -1, 0, -1, 1, 1, -1, 1, -1, 1, -1, -2, 2, 0, -1, -1, 1, 1, 6, 1, 1, 1, 1, -1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, -1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 0, 1, -2, -1, 1, -2, -2, -1, -2, -1, -1, -2, -1, 2, 2, 0, 0, -1, -2, 4, 1, 1, 0, 1, 1, 0, -1, 1, 2, 0, 2, 1, 0, 2, 0, -1, -2, -1, -1, 1, 0, 1, 4, 1, 0, -1, 1, -1, 1, 0, 1, -1, -1, 1, -2, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, 4, 1, 1, 0, 1, 0, 1, 1, 0, -1, 1, 1, 2, -1, -1, -2, -2, 0, 1, 0, 0, 0, 1, 4, 2, -1, 2, -1, -1, 0, 0, 1, -1, 0, 2, -1, -2, 1, -2, 0, 0, 1, 1, -1, 1, 2, 6, -3, 0, 0, -1, 0, 0, 2, -2, 1, 0, 0, -1, -1, -1, -1, -1, -2, 1, 1, 0, -1, -3, 6, 2, -1, 2, 2, 2, -2, 2, 0, 2, 2, -1, 0, 0, 0, 0, -1, 0, -1, 1, 2, 0, 2, 6, -2, 0, 1, 3, 1, -1, 0, 3, 0, -2, -1, 0, -1, -1, 1, -1, 1, 0, -1, 0, -1, -2, 4, -1, -1, -1, -1, 1, 0, -3, 1, 0, 1, 0, 1, 0, -2, 1, 0, 1, -1, -1, 2, 0, -1, 4, 1, 0, -1, 1, 2, 2, 1, -1, -2, -1, 1, 0, -2, 2, 1, 1, 0, 0, 2, 1, -1, 1, 4, 2, 1, 0, 0, 2, 0, -1, -1, -1, -1, 1, -1, 0, -1, 0, 0, 0, 2, 3, -1, 0, 2, 4, 1, -1, 0, 1, 1, -1, -1, 0, -1, 0, -2, 2, -1, -1, 1, 2, -2, 1, -1, -1, 1, 1, 6, -1, 0, 1, 0, -1, -2, 0, -1, 0, -1, 1, 1, 1, -1, -2, 2, -1, 1, 1, 0, -1, -1, 4, 1, 0, 1, 0, 0, -1, 1, 1, -1, 0, -2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 4, 1, 1, -1, -1, -2, 2, 0, -2, 2, 0, 2, 2, 0, 2, 3, -3, 2, 2, 1, 1, 0, 1, 6, 0, -2, -2, -2, 0, 1, -1, 0, -1, -1, -1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 4, -1, 0, 0, 1, 0, 2, -1, 0, -1, -2, -1, -1, -2, 0, -1, -1, -1, -1, 0, -1, -2, -1, 4, 1, 2, 0, 0, 2, -2, 0, -2, 1, -1, 0, -1, 1, -2, -1, -1, -2, 0, -1, -2, 0, 1, 6, -1, 1, 0, 0, -1, 0, -2, -2, -1, 0, 0, 0, -1, -1, 0, 0, -1, -2, -2, 0, 2, -1, 6, -1, -1, 0, -1, -1, 0, 0, -1, 0, -1, 1, 1, -1, -1, -1, 1, 2, 0, 1, 0, 1, -1, 4, 0, -1, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, -2, 1, 2, 1, 0, 1, 1, 2, -2, -2, 1, 2, -1, 1, 1, 0, 0, 1, -2, -2, 4, 1, 0, -2, -2, -1, 0, -1, -1, -1, 2, 1, -2, -1, 0, 0, -1, -1, 0, -1, 1, 1, 1, 6, -3, -2, 0, 0, -1, 1, -2, 0, 2, 0, -1, 1, 2, 2, -1, 1, 2, 1, -1, -2, 0, -3, 8, -2, -1, 1, -2, -3, 0, -2, -1, -2, -1, -1, -3, -3, -2, 0, 1, -3, 4, 1, -2, -2, -2, 6, 2, 1, 3, 0, 0, 0, 0, 1, 2, 0, -1, 1, 1, 1, -1, 1, 0, 2, -2, 0, -1, 2, 4, 2, 1, 0, 1, 0, 0, -1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, -1, 0, 1, 1, 2, 4, -1, 0, -1, 0, 0, -2, 1, 0, 0, -1, 0, 2, 0, -1, 0, 0, 0, -1, -2, 3, 1, -1, 4, -1, 0, 0, 1, 2, 1, 0, 0, 1, 0, -1, -1, 1, 1, 1, -1, 1, -3, 0, 0, 0, -1, 4, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, -3, 1, -1, -2, 0, 0, 1, -1, 0, 1, 4, 1, -2, -1, 1, 0, -1, 0, 1, -1, 0, 1, -1, 2, -1, 0, -2, 0, 0, 0, 0, 2, 1, 4, -2, -1, 1, 2, 0, 0, 1, -1, -1, 1, -3, -2, 2, 2, -1, 0, 0, 0, 1, 0, -2, -2, 6, 3, 0, -1, 1, 1, -1, 1, 1, 0, 2, -2, 1, 0, -2, 1, -1, -2, 2, 0, -1, -1, 3, 6, -1, 0, 1, 2, 1, 0, -1, 0, 1, 1, -2, -1, -1, 2, 2, 1, 1, 1, 1, 1, 0, -1, 4, 0, 0, 0, 1, 1, -1, 1, -1, 2, -1, 1, -1, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 4, -1, 0, 1, 0, 0, 1, -1, -1, 0, 2, -3, -1, 0, 0, 0, 2, -1, 0, 1, 1, 0, -1, 6, 1, 0, 0, 0, 1, -1, 1, 0, 2, -3, 1, 1, -1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 4, 0, 0, 0, 1, 0, 1, -1, -1, -2, 1, 0, 0, 0, 1, 1, 1, -1, 1, 1, 1, 0, 0, 4, 1, -1, 1, -2, 0, -1, 1, 0, 1, 1, 2, -1, 0, -1, -1, 1, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, 0, 0, 2, 1, -1, 0, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, 0, 4, 1, 1, 1, -1, 1, -3, 1, 1, -1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 4, -2, -2, 1, -1, 4, 0, 0, 0, 1, -3, -1, -3, 2, 1, -1, -1, -1, 0, -2, 0, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, 0, 1, -1, 1, 0, 2, 2, -1, 0, 2, 1, -1, 2, 0, 2, -2, -1, 0, -2, 4, 0, -1, 0, -1, -1, -1, 1, -1, 0, 1, 1, -2, -1, 0, -1, 1, 0, 2, -1, 1, 1, 0, 6, 2, 0, 1, -2, 1, -1, 1, -1, 0, 2, 3, 1, -3, -1, 2, -2, 1, 2, 2, 2, -1, 2, 6, 2, 2, 1, 1, -1, -1, 1, -2, -1, 1, 2, 1, 1, -1, -1, -1, 1, 2, 0, 0, 0, 2, 4, -1, 2, -1, -1, -1, 0, -2, -2, 1, 0, 1, -1, 0, 1, 0, -1, 1, 1, -1, 1, 2, -1, 4, -1, 2, -1, 1, 0, 1, 1, 1, 2, 0, 1, 0, -2, -1, 1, 1, -1, -1, -2, 1, 2, -1, 6, 0, 1, -1, -1, -2, -3, -2, 0, 3, 0, -1, -1, 0, 0, 0, 1, -1, 1, 1, -1, 2, 0, 4, 1, 1, 0, 0, 1, 0, 2, -1, 2, 1, -1, -1, 2, 1, 0, 1, -1, -1, -1, -1, 1, 1, 4, 0, 1, 0, 0, -2, 0, 1, 1, 0, 0, 1, 0, 0, 2, -1, 1, -1, -1, 1, -1, 1, 0, 4, 0, 0, 1, 2, 0, -2, 1, 1, 1, -1, -1, 0, 2, 0, -1, 1, 0, 0, -1, 0, 1, 0, 4, -1, 0, 0, 1, 1, 2, 0, 2, -1, -2, 0, -1, 1, 0, -2, -2, 1, -2, 0, 0, 0, -1, 4, 1, 0, -1, 0, -1, 0, -1, 1, 1, 0, 0, 1, 2, -1, -2, 1, -3, 1, 0, 1, 0, 1, 4, 0, 0, -3, 0, 2, -1, 1, 0, 1, 2, -2, 3, 1, 1, 1, -2, 0, -2, 2, 0, 0, 0, 6, 0, -1, 0, 1, 0, -1, 1, 0, 1, -1, 1, 2, 0, 2, 0, 2, 0, 0, 1, -1, 0, 0, 4, 0, 1, 0, -1, -1, 1, 1, -1, 0, -3, 1, 1, 0, 3, -1, 1, -2, 1, 0, -3, -1, 0, 6, 1, -2, -1, 0, 0, 0, 2, -1, -1, 1, -1, 1, 0, 2, 1, 1, 2, -1, 0, 0, 1, 1, 4, 0, 1, -2, 0, 0, 0, 1, 2, -1, 0, 0, -1, 1, 0, 1, 0, 0, 2, 1, 0, -2, 0, 4, 0, 1, 0, 1, 2, 0, -2, -1, 1, -2, -1, -1, 0, 1, 2, -1, -1, 0, -1, -1, 1, 0, 6, -2, -3, -1, -2, 2, 1, -1, 0, -1, 0, -1, 1, -1, -1, 1, 1, -1, -1, 0, -2, 1, -2, 4, 1, 1, -1, -1, 2, 1, -1, 1, 0, 2, 0, -1, -2, 1, 0, 1, 1, 0, 0, 0, -3, 1, 6, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -1, 0, 1, -1, -2, -2, -2, 0, 1, 1, 2, 0, -1, 0, 0, -2, 2, 1, 0, 4, -1, -1, 2, 0, 1, 0, 2, 1, 1, 2, -1, 1, 1, 1, -2, 2, -1, 1, -1, -1, 1, -1, 4, 0, -1, 1, 0, 0, 0, 0, -2, 0, 2, 0, 1, 1, 1, -1, 1, 0, 2, -1, 2, -1, 0, 4, -2, 0, 1, 0, -3, -2, -1, 0, 0, 1, 1, -1, 0, 0, 1, -2, 1, 2, -1, 2, -1, -2, 6, -2, 1, -2, 4, 1, 0, -1, 0, 1, -2, 1, -3, 1, 1, 1, -3, -1, 0, 0, 1, 0, -2, 4, -1, 2, -1, 0, 0, 2, 1, 0, 2, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, -1, 4, -1, 0, -1, 0, 0, 1, 2, -1, -1, 0, 0, -1, -1, 1, 0, -1, 0, 0, 0, -2, 2, -1, 4, 0, 0, 0, 1, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, -2, 2, 0, -3, 4, -1, 0, 0, 6, 1, 0, 0, 0, 1, -1, 1, -2, 1, 0, 2, -2, -1, -2, 1, 0, -2, 1, 0, -1, 0, 1, 4, 2, 0, 0, -2, 0, 2, 1, 0, 0, 2, -2, -2, -2, 1, -2, -1, 0, 0, 0, 0, 0, 2, 4, 1, -1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 2, 0, 0, -1, 2, 0, 1, 0, 0, 1, 4, -1, 0, 1, 0, 0, 2, -1, 1, 0, 0, 1, -1, 2, 0, 0, 1, 1, 0, 0, 0, -1, -1, 4, 0, 1, -1, 0, -1, 0, -1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, -2, -1, 0, 0, 4, 0, -1, -2, 0, 0, -1, 1, 1, 2, 1, 1, 1, -2, 2, -1, 0, -1, 0, -1, 1, 1, 0, 6, 1, -2, 1, 0, -1, 1, 0, 0, 1, 1, -1, 1, -1, -1, -1, 1, 2, 0, 0, -1, -1, 1, 4, 0, 0, 1, 1, -1, -2, -1, -2, 1, 0, -3, 0, 0, 1, -2, 1, 1, 0, 0, -2, -2, 0, 6, -1, -1, 1, 1, -1, 0, 2, -1, 0, 1, 0, 0, -1, 1, 0, 1, 2, -1, 0, 1, 0, -1, 4, 0, 1, -1, 0, 0, -1, 1, 1, 1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, 1, -1, 0, 4, -1, -1, 0, -2, 1, 0, -2, 1, 0, -1, 1, 2, 2, 1, 1, -1, -1, -1, 1, 1, 1, -1, 4, -1, -1, 2, -1, 2, 1, -3, 1, 1, 1, -2, -2, -1, 0, 2, 1, 1, -1, 1, -1, -1, -1, 6, 0, 1, -1, -1, 2, -1, 0, 0, 1, -1, -2, -1, 0, 0, 1, 0, -2, -1, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, -2, 1, 1, 0, 1, 1, -1, 1, -1, 2, 0, -1, 1, 0, 1, -1, 1, 1, 4, -1, 2, 0, -2, 0, 0, 1, 2, 1, 0, 0, -2, 1, 0, -1, 0, 1, 0, 0, 2, -1, -1, 4, 1, 1, 1, 0, -1, 0, 1, 1, 0, -1, 0, 1, 0, 0, -1, -1, 1, 2, -2, 1, 2, 1, 4, 0, -1, 0, -1, 0, 2, 2, -1, 0, -1, 1, -1, -1, 0, 1, 1, 1, 0, -1, 0, 1, 0, 4, 2, 0, 1, -1, 0, -1, 0, 1, 1, 0, -1, -1, 1, 1, -1, 0, 0, -2, -2, 1, -1, 2, 6, -1, 0, 0, -1, -2, 2, 0, 0, -2, 0, 2, 0, 1, 1, 1, -1, 1, 0, 0, 0, 0, -1, 4, 2, -1, 0, 1, -2, 2, 0, 0, 1, 1, 2, -1, 0, -1, 0, 1, 0, -1, -1, 1, 0, 2, 4, 0, 0, -1, -1, 2, 0, 0, 1, 0, 2, -1, 0, -1, 1, 0, 1, 0, 0, -1, 0, -1, 0, 4, 0, 0, 1, 0, -2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, -1, 0, 0, 0, 4, 2, -1, -1, -1, 1, -1, -1, 0, -1, 1, 1, 0, 1, 1, 1, 2, -1, -2, 1, -1, 0, 2, 4, -2, -1, 0, 1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0, 2, -2, -1, 1, -1, -2, 4, -1, -1, 0, 1, 1, -2, 1, 1, 1, 1, 1, 0, -1, 0, 1, 0, 2, 2, 0, -1, -1, -1, 4, 0, 0, 1, 0, 2, 0, 0, -1, 1, -1, -2, 0, -1, 1, 0, 0, 0, -2, -1, 0, -1, 0, 4, -1, -1, -1, 0, 0, -2, -1, -1, 2, 1, 1, 1, 0, -2, 0, 0, 0, 1, 1, 0, 0, -1, 4, 0, -1, -1, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, 1, 1, 2, -1, -1, 1, 1, -1, 0, 4, 2, 0, -1, 1, 0, 1, -1, -1, 0, -1, -1, 2, 1, 0, 1, -1, 0, 1, 0, -1, -1, 2, 4, 0, 0, 1, 1, 0, 1, 0, -1, 0, 1, 0, 2, 2, 0, 0, 0, -2, 2, 0, -1, 0, 0, 4, 0, 0, -1, 0, 0, 1, -1, 1, 1, 1, -1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 4, -1, 0, 1, 1, 0, 1, 1, -1, 1, 0, 0, 1, 1, 0, 1, 0, -2, 1, 1, 1, 0, -1, 4, 2, 0, -1, 0, 2, 1, 0, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 0, 1, -1, 0, 2, 4, -1, 1, 2, -2, 0, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 0, 1, -1, 0, -2, 1, 1, -1, -1, -1, 1, -2, 0, -1, 0, 0, 2, 1, -1, -1, 4, -1, 1, 1, -1, 1, -1, -2, -1, 1, -1, 2, 0, 0, 1, -1, -1, -1, -2, -2, 0, 0, -1, 4, -2, -1, -1, 1, 1, 2, 2, -2, 1, 1, 0, 1, 1, -1, 2, -1, 2, 2, -1, 0, 1, -2, 4, 1, -1, 0, 0, 0, 0, 2, -2, -1, 0, 0, 0, 0, -2, 1, -2, -1, 0, 1, 1, -1, 1, 6, -2, 1, -1, 2, 2, 1, 0, 0, -2, -2, -2, 1, -1, 1, -2, -3, -2, -1, -1, -1, -1, -2, 6, -3, 0, -2, 0, 1, 0, -1, 1, 1, 0, 2, -1, 1, -1, 0, 1, 0, 1, 1, 0, 1, -3, 4, 1, 1, 1, 0, 0, 2, 0, 0, 1, -1, 1, 0, 1, 0, -1, -2, -1, 1, 0, -1, 0, 1, 4, 0, 1, 0, 0, 0, -1, 2, 0, 1, 0, 1, 0, 0, 1, 1, -2, 2, 0, 2, -2, 1, 0, 6, 2, -1, 1, -1, 0, -1, -1, 1, 2, 1, 0, 2, -2, 1, -1, 2, 0, 2, 0, 1, 1, 2, 6, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, -2, -1, 1, -2, 2, 1, 1, 0, 0, -1, 1, 4, 0, 0, 0, 0, 0, 1, -2, 1, -2, -2, 0, -1, -1, 1, -2, 0, 0, 0, 0, 1, 0, 0, 4, 1, 0, 0, 0, 0, 1, 0, 1, 0, -1, -1, 2, 1, -1, 0, -1, 2, 0, -1, 0, 0, 1, 4, 0, 1, 1, -1, 1, -1, 1, 0, 0, 1, 0, 0, 0, -2, 1, 0, -1, 0, -1, 0, 0, 0, 4, -1, 2, -1, 0, 0, 1, 2, 0, -2, 0, 1, 0, -2, 1, 0, 2, -1, 1, 0, 0, 1, -1, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, -2, 0, 1, 0, -1, 0, 0, 0, 1, 2, 0, 4, -1, 0, -1, 1, 1, 0, -1, -1, -1, 0, 1, 2, -1, 1, 1, 1, 1, 0, -1, -1, 0, -1, 4, 0, 1, -2, 0, 1, 0, -1, 2, -2, -1, -1, 1, 0, 2, 0, -2, 1, 1, 0, 0, 0, 0, 4, -1, 2, 3, 0, 0, -1, -1, 1, 1, 1, 0, 1, 1, 0, 1, 0, -1, 0, 0, -1, 1, -1, 4, -1, -1, 0, 2, -2, 2, -2, -2, -1, 1, 0, 0, 0, -2, 1, 1, 1, 0, 1, -2, 2, -1, 6, 3, 0, 1, -2, 2, -1, -3, 0, 0, 0, 2, 0, -2, 0, 0, 2, 0, 1, 0, 3, -1, 3, 6, 0, -1, 0, -1, 0, -2, 1, -1, 1, -2, -2, 0, -1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 0, 1, -1, -1, -1, 0, 2, -1, 2, 0, 0, 0, -2, 0, 0, 0, 1, -1, 1, 4, -2, -1, 1, 0, -2, -1, -2, -1, -1, -1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, -2, -2, 4, -1, -1, 0, 1, 1, 1, 0, -1, 1, 0, 0, 1, 1, 1, 0, -1, 0, 0, 1, 2, -1, -1, 6, 0, -1, 0, 1, 0, 2, 0, -1, -1, 1, 1, 0, 0, 1, -1, -2, 1, 1, 0, 1, -1, 0, 4, 1, 0, 1, 0, 1, 1, -1, -2, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 0, 0, -1, 1, 4, 1, 1, -1, 1, 2, -1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, -1, -2, 1, 0, 0, 1, 4, 2, 2, 0, 0, 1, 0, -1, 0, -1, 2, -1, 1, 0, -1, 1, -1, -1, 1, 1, 1, 1, 2, 4, 1, 1, 0, -1, 0, 1, 0, 1, 1, 1, -1, 0, -1, 2, -1, -2, 1, 0, 0, -1, 2, 1, 4, 0, 0, 1, -1, -2, 0, -1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 2, 1, 1, 0, 1, 0, 4, 0, 0, -1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, -1, -1, 0, 1, 2, 0, 0, 0, 0, 6, -2, 2, 0, 0, 1, -1, 0, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 0, -2, 4, 0, -2, -1, -2, 1, -1, 1, -1, -1, -1, 2, 0, 0, -1, -2, 2, 0, 0, -1, -1, 2, 0, 6, -1, 1, 0, 0, -1, 0, 1, -1, -1, 0, 1, 0, 1, 1, 1, -1, 1, -2, 1, 0, -2, -1, 4, 0, 2, 0, 2, -2, 0, 1, 1, 0, -1, 1, 1, -1, 1, 0, 0, 0, 1, 0, -1, 1, 0, 4, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, -1, 1, -1, 0, 1, -2, 0, 2, 0, 4, 0, 1, -2, 1, 1, 1, -2, -1, 1, 0, -1, 0, 2, 1, 0, 0, -1, 1, 0, 0, 0, 0, 4, 0, 0, -1, -1, 1, 0, 1, 0, 1, 1, 1, -1, 1, -1, 2, 0, -1, -1, 2, 0, 1, 0, 4, -1, 0, 1, 1, 0, 0, -1, -1, 1, 0, 1, -1, 1, 0, 1, 1, 0, -2, 0, -2, 0, -1, 4, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, -1, 0, 0, 4, 1, 0, 1, 0, 0, 1, 1, 0, -1, -1, 0, 1, 1, -1, -1, 1, 0, 1, -1, 1, 0, 1, 4, 0, -1, 0, 1, 1, 1, 0, 1, 2, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, -1, 1, -1, 1, 1, 1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 1, -2, 2, 1, 4, 1, -1, -2, 2, 0, 2, 2, 0, 0, 1, 0, -1, -1, -1, 0, -1, 1, 2, -2, 1, -2, 1, 4, -2, -1, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, -1, -1, -1, 0, 1, 0, -1, 1, -1, -2, 4, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, -2, -1, 0, 4, -2, -1, -2, 0, 0, 0, -1, 0, 1, 1, 2, -1, 1, 1, -2, 1, 0, 1, 2, 0, 1, -2, 4, 1, 2, 1, -1, -1, 0, 1, 0, -1, -2, 1, 0, 0, 2, -1, 1, -1, 0, 1, -1, -1, 1, 4, -1, 0, -1, 1, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0, -1, 1, 2, 0, 1, -2, 2, -1, 4, 1, 0, 0, 1, -1, 0, 0, -2, 1, 0, 1, 2, 0, 1, 1, 2, -1, 0, 0, 1, 0, 1, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, -2, 2, 1, 0, 0, 0, 0, -1, -1, 0, 0, 4, 1, 2, -2, -2, -1, 1, -1, 0, 1, 0, -2, 1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 1, 4, 1, -2, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 0, 1, -1, 0, -1, 1, 0, 2, 1, 4, -2, -1, -1, 0, -1, -1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, -2, -2, -2, 4, 0, 1, 0, 0, 0, -2, 0, 1, 0, -1, -1, -1, 0, 1, 0, 0, 0, 0, -2, -1, -1, 0, 4, 0, 0, 1, 2, 1, 0, 2, 0, -1, -1, 1, 0, 1, -1, 0, 0, -1, -1, -1, -1, 1, 0, 4, 1, 0, 0, -1, 0, 2, 0, 0, -1, -1, 0, 2, -2, -1, -2, 0, 1, -1, 0, 0, 0, 1, 4, -1, 0, 0, -1, 0, 1, 1, 0, -1, 0, -1, 1, 1, 1, 0, -1, 1, -1, 0, 1, 0, -1, 4, 1, 0, 0, 1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 1, 0, -1, -1, 0, 2, 0, 0, 1, 4, 1, 0, 1, 1, 0, 1, 0, -1, 1, 0, -1, 1, 1, 1, 1, 1, -2, 1, -1, 0, 0, 1, 4, 0, -1, 1, 1, 2, 1, 0, -2, 2, 0, 2, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 0, 4, 0, 1, -2, -2, 0, 1, 1, -1, 0, 0, -2, -2, -1, -2, 1, 2, 2, 0, 1, 1, -1, 0, 6, -2, 2, 1, -1, 1, 0, 1, -1, 1, 2, 1, -1, 1, 0, 0, 0, 1, 0, 1, 1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, 2, 0, -1, 2, -1, 2, 1, 1, -1, 0, -1, 1, 1, -1, 2, 1, 4, -1, -2, -1, 2, -1, 0, 1, 1, 1, 0, 1, 0, -1, -1, 1, 0, 0, 1, 1, 1, -1, -1, 4, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 1, -2, -1, 1, -1, 0, 0, -1, -2, 0, 4, 0, -2, 1, 0, -1, 0, -1, -1, -2, 0, 1, 0, -1, -1, 0, 0, -1, 0, 1, -1, 0, 0, 4, -1, 2, 2, -1, -2, 1, 0, 1, 1, 0, -1, -1, 0, 1, 1, -2, 1, 1, 2, 0, -2, -1, 4, -2, -1, 0, 1, 1, -1, 1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 1, -1, 0, 1, 2, -2, 4, 2, 0, -2, 1, -1, 1, 2, 0, -2, 0, -2, 2, 0, -2, 1, 2, 0, -1, 0, 2, -1, 2, 4, -1, -2, 2, 0, 1, 1, 1, -2, 0, -1, 1, 1, -1, 1, 0, 1, 1, -1, -1, 0, 0, -1, 4, 0, 0, 0, 0, 1, -2, 0, 1, 0, 1, 0, 0, 0, -1, 1, 0, 0, -2, 1, -2, -2, 0, 4, -2, 1, -1, -1, 0, 0, 1, 1, 0, 0, 1, -1, 2, 1, 0, -1, 1, 1, 1, 2, 0, -2, 4, -1, 2, 0, 0, -1, -1, -1, 1, 1, -1, 2, -1, 0, -1, -1, 0, -1, -1, 0, 0, 1, -1, 4, 0, -1, 0, 0, 2, 2, 0, 1, 1, -1, 2, 1, 0, -2, 1, 1, 1, 1, 0, -1, 2, 0, 4, 1, 0, -1, 0, -1, 1, 1, 0, 2, 1, 0, 1, 0, 1, -1, 2, 1, 1, -1, 0, -1, 1, 4, -1, -1, 0, -2, 2, -1, 0, 1, 1, -1, 0, 1, 0, 0, 0, 1, -2, 0, 0, 0, 0, -1, 4, 0, -1, 0, 0, 1, 0, 0, -1, -1, 1, 0, -1, 1, -2, -2, 0, 0, -1, 0, -1, -1, 0, 4, 0, 1, -2, -1, 1, 0, 0, 1, -2, -1, -1, 0, 0, 0, 1, 1, -1, 2, 0, 0, -1, 0, 4, 1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, -2, -1, 0, 1, -1, 2, -1, -2, 0, 1, 1, 4, -1, 1, 1, -1, 1, 0, 1, 0, 1, -1, 2, 1, 1, 0, 1, 0, 1, 2, 0, -2, 0, -1, 4, 0, -1, 1, 1, 1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, -1, 1, -1, 0, 1, 0, 4, 0, 1, -1, 1, 0, -1, -2, 1, -2, -1, 0, 1, -1, 1, 0, 0, 0, 1, 1, 1, -1, 0, 4, -1, 2, 1, 0, 0, 1, 1, 1, 1, 0, -1, 2, -1, 2, 1, 0, 0, 0, -1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, -1, -1, -2, 0, 0, 0, 1, -1, -2, -1, 0, -1, 1, 2, -1, 1, 1, 4, -1, -2, 2, 2, 0, -2, 0, 0, -1, -1, 2, -2, 0, 1, 1, -2, 0, 2, 1, 2, -1, -1, 4, 0, 0, 0, 2, 0, 1, 0, -1, -1, 0, 0, 1, 0, -2, 0, 1, 1, 0, 0, -1, -2, 0, 4, -2, -2, 0, 2, 0, -1, 2, 1, -1, 1, 0, 1, -1, 2, 1, -2, -1, -1, 1, 2, 0, -2, 4, 1, 0, -2, 1, -1, -1, -2, 1, -1, 0, 0, 0, -2, 0, 1, 1, 1, 1, 2, 0, -2, 1, 4, 1, -2, 0, 0, -2, 0, 1, -1, 1, -1, 1, -2, 1, 3, 0, 2, -1, 0, 2, 0, 0, 1, 4, -1, 2, 0, -1, 0, 0, 1, 2, -1, -1, 0, 1, 1, -1, 0, -1, -2, 0, 2, -2, -2, -1, 4, 0, 1, 2, 1, -1, 1, -1, 1, -1, 1, -1, -1, 0, -2, -2, 0, 1, 0, 1, 0, 2, 0, 4, 0, -1, 0, 0, 1, 2, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, 4, 0, 1, 1, 0, -1, 0, -1, -1, -1, 1, 1, -1, 0, -1, -1, 2, -1, -2, -1, 2, -1, 0, 4, 1, 0, 1, -2, 0, 0, 1, 0, -2, 0, -2, 0, -1, -1, 1, -2, 0, 0, 1, 0, 1, 1, 4, -1, 0, 0, -1, 1, 0, 1, -1, -1, -1, 1, 2, 0, -1, 1, 1, 0, -1, 0, 1, 0, -1, 4, 0, -1, 0, 0, -1, 1, 1, 1, 1, -1, -2, 0, 1, -1, -1, 1, 1, 1, 0, 1, 0, 0, 4, 0, -1, 0, 1, 0, -1, 0, -1, -2, 0, 1, 0, 0, 1, 2, -1, 2, -1, -2, 0, -1, 0, 4, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, -1, -1, 1, 0, 0, 0, -1, 0, -1, 0, 4, 0, 0, -1, 0, 1, 1, 0, 1, -2, -1, 0, 1, -1, -1, -1, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, -1, 0, 1, -1, -2, 0, 2, -2, -2, 0, 1, -1, -1, 1, 0, -1, 1, 0, 0, 0, 4, 0, -2, -1, -1, 1, 0, 1, 1, 0, 1, 1, -1, 0, -1, 0, 1, 1, 0, 0, -1, 0, 0, 4, 0, -1, 1, 2, 2, 1, -2, 1, 3, 1, -1, 0, 1, -2, -1, 1, -1, 0, 0, -1, -2, 0, 6, 1, 2, -1, 1, 0, -1, 1, 0, -1, 0, 1, 1, 0, -1, 1, 0, 0, 1, 0, -1, -1, 1, 4, 0, 1, 2, 0, -1, 1, 2, 0, -2, 0, -1, -2, -1, 1, -1, 1, 1, 1, -1, 1, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 2, 1, 1, 0, 0, -1, -2, 4, -2, -1, 1, -1, 0, 1, -1, 1, 0, 1, -1, -1, 1, -1, -2, -1, 0, -1, 1, 1, 2, -2, 4, 0, -1, 1, 0, -1, 1, -1, 1, -1, 0, 1, -1, 1, 2, 1, -1, -1, -1, 0, 1, -1, 0, 4, 0, 2, 0, 0, 2, 1, -1, -1, 1, 0, 1, 0, 2, 2, 0, -1, -1, 0, -2, 1, -1, 0, 4, 0, -2, 2, 1, 0, -1, -1, -1, -1, 2, 0, -2, 1, 0, 1, 1, 2, 1, -1, 1, 2, 0, 4, -1, 1, 2, -1, -1, -2, 1, 0, 1, 1, 1, 2, -1, -2, 0, 0, 1, 0, 0, 0, -2, -1, 4, -1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, -2, -2, 1, -1, 0, 2, 1, -1, 4, 0, 0, 0, -1, -1, -1, 2, 0, -2, 1, 0, 0, 1, 0, 1, -1, 1, 2, 1, 2, 0, 0, 4, -1, 0, -2, 1, 0, 1, 1, 1, 2, -1, 0, 0, 1, 0, 1, -1, 1, 0, -1, 0, 0, -1, 4, -1, 2, -1, -1, 0, -2, 0, 0, 2, -1, 0, 0, 0, 0, 1, -1, -1, -1, 1, 0, 0, -1, 4, 0, 1, 0, 0, 1, -1, 0, 0, 1, -1, 0, 0, 1, -1, -1, -1, -2, 1, -1, -2, 2, 0, 4, -1, -1, -1, -1, -1, -2, 2, 1, 1, 0, 0, -1, 0, 1, -1, 1, 0, -1, 1, -1, 1, -1, 4, 0, 0, 2, 0, 0, -1, -1, -2, 0, 0, -1, 1, 0, -1, 0, 1, -1, 0, -1, 0, -1, 0, 4, 0, 1, 3, 0, -1, 0, -1, -1, -1, 1, -1, 1, 2, 1, 0, 2, 1, 0, 0, -1, 0, 0, 4, 0, -1, 2, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 1, -2, 1, -1, 2, 1, 0, 4, 1, 0, -2, 0, -1, 1, 2, -2, 2, 2, -2, 1, 2, -2, 1, 0, -1, -1, 0, 3, -1, 1, 6, 1, -1, -1, -1, -1, 1, -1, 1, 2, 1, 2, 0, 1, 2, 0, 0, -2, 0, 0, 2, 0, 1, 4, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, -1, 2, 0, 2, -1, -1, 0, -2, -1, 0, 4, 1, 1, 0, 0, -1, -1, -1, 1, -2, 1, 0, 0, -1, 1, 1, -1, 0, 0, 0, -1, 0, 1, 6, 2, 0, 0, 1, -1, -1, 1, 0, 0, 1, 0, 0, -1, 1, -2, -1, 0, -1, -1, 0, 1, 2, 4, 0, -1, 1, 0, 0, 2, 0, -2, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 1, 1, 2, 1, 0, 1, 1, -1, -1, -1, 2, -2, 1, -2, -2, 1, 1, 1, 0, 1, 4, 0, 1, 0, 1, 2, 1, -1, 0, 0, -2, -1, 0, -1, 1, 0, 1, -1, 2, 0, 1, 0, 0, 4, -1, 0, 1, 1, 1, 2, -1, 1, 1, -1, -1, 0, 1, -2, 1, -2, 0, 0, 1, 1, 1, -1, 4, -1, 0, 1, 1, -1, 1, 0, 0, 1, 1, -2, 0, 1, 1, 2, 1, 0, -1, 1, 0, 0, -1, 4, -1, 0, 1, 2, -1, 0, 0, -1, 1, -1, -1, 0, -2, 0, 1, -1, -1, 2, 1, 1, 0, -1, 4, 0, -1, 1, 1, 0, -1, -1, 0, -1, 1, -1, -1, -1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 4, 2, -1, 0, 1, 0, 0, 1, -1, 1, -2, 1, -1, 0, 0, 0, 0, 1, 1, 1, 1, -1, 2, 4, 1, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, 1, 0, -1, 1, -1, 2, -1, 2, 1, -1, 1, 6, -1, 0, 1, 0, 0, -2, -1, -2, -3, -2, 2, 0, 0, 1, 0, -1, 1, -1, 1, 0, 0, -1, 4, -1, 0, 0, 1, 0, 1, -1, 0, 2, -1, 2, 1, -1, 0, 1, 0, 0, 0, 1, 0, 0, -1, 4, 0, 1, -1, 0, -1, 1, 1, -2, 1, -1, 0, -1, -2, 1, 0, 0, -1, 0, 0, 1, 0, 0, 4, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0, -1, -1, -1, 1, -1, -1, 0, 1, 0, 0, 1, 0, 4, -1, 0, 0, 1, -1, 0, 1, 0, -1, 2, 0, -1, 1, 1, 0, 1, 0, 0, 1, -1, 1, -1, 4, -2, -1, -1, 0, 1, -1, 1, 0, -2, -1, 0, -2, -1, -1, -1, -1, -2, 0, 0, 0, 0, -2, 4, 1, 0, 1, 0, -2, 0, 0, 1, 1, 1, 0, -1, 1, 1, 1, -1, 1, -1, -1, 0, -1, 1, 4, -1, 0, 0, 0, 1, 1, -2, 0, -2, 1, 0, -1, -2, -1, -2, -1, 1, -1, 1, -1, 0, -1, 6, 1, 1, 1, -1, 0, -2, 1, 1, 1, -2, -1, 1, 0, -3, 0, 1, 1, -1, 0, 1, 0, 1, 6, 0, -1, 0, 1, 1, -1, -2, 2, 0, -1, -1, -1, -2, 2, -2, 0, 0, 1, 0, 0, 1, 0, 6, -2, 0, -1, 1, 2, 0, 1, 1, 1, 0, 1, 2, -1, 1, -1, 1, -1, -2, 0, 1, -1, -2, 6, 0, 0, 1, 0, 0, 0, -1, 2, 0, 0, 0, 2, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, 4, 1, 0, 1, 1, -1, -1, 2, 0, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, 1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, -2, 1, 0, 0, -1, 0, 0, 1, 0, 1, 2, -1, 0, -1, -1, 1, -2, 0, 2, 4, 2, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 2, -2, 0, 1, 2, 4, -1, -2, -1, 0, -1, 1, 0, -1, -1, 1, 1, 0, -1, -1, 1, 1, 0, -1, 0, -1, 1, -1, 6, 3, 1, -1, 1, -2, -1, 0, 2, -1, 0, -1, 0, -2, 1, -1, 2, 1, 2, -2, -1, -2, 3, 6, 0, 1, 1, -2, -2, 2, 2, -2, 1, -2, -1, 1, 1, -2, 1, 1, 1, 1, 0, -1, 1, 0, 4, -1, 2, -1, -1, 1, 1, -1, 1, 2, 0, 1, -2, 0, 0, 1, 0, 0, 0, 0, -1, 1, -1, 4, -2, -1, -1, 0, 0, -1, 0, -2, 0, 0, 0, 1, 0, -2, 1, 0, -1, -1, 1, 1, 2, -2, 4, -1, -1, 2, 1, -1, 1, 1, 0, 1, 0, -1, 0, 1, -1, -1, 0, 1, -2, -2, -1, -1, -1, 4, 2, -1, -2, 1, -1, 0, 1, 0, 0, 2, -1, 0, -1, 0, 0, 0, -1, -2, -1, -1, -1, 2, 4, -2, -2, 2, -2, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, 0, 2, 1, 0, 2, -1, -2, 4, 2, -2, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 2, 2, 1, 0, 1, -2, -2, 2, 4, -1, 1, 0, -1, 0, 0, -2, 1, -1, 1, 0, 0, 1, -1, -2, -1, -1, -1, 1, 2, -2, -1, 4, 0, 2, -1, 0, 0, -1, -1, 0, -1, 1, 0, 1, 0, 1, 1, 0, 1, -1, -2, 1, 1, 0, 4, 0, -2, 0, 0, -1, 0, -1, 0, 2, 1, 0, -1, -2, 2, -2, 1, 0, 1, -1, 0, 2, 0, 6, -1, 2, -1, -1, -1, 0, -2, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, -1, -1, -2, -1, 4, 0, 0, 2, 0, 0, 0, 0, -1, -1, -2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 4, -1, -1, -1, 1, -1, -1, 0, 1, 1, 1, -2, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, 0, 0, -1, 1, 1, -1, -2, 0, 1, -1, 2, 0, 0, -2, -1, -1, -1, 2, -1, 0, 6, -1, -1, 0, 1, 2, 0, 2, 1, 0, 0, 0, -1, 0, 0, 1, -1, 0, -1, 0, -1, 0, -1, 4, 0, 1, -2, -2, -1, 1, 1, 1, -2, 1, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, -1, 0, 6, 0, 0, 0, 0, 2, 1, 0, 1, -1, -1, 0, 0, 1, -1, 0, -2, 0, -1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 1, 0, -1, 1, 2, 1, -1, -1, -1, -1, 1, 2, 1, 2, 1, 1, 1, 1, 4, 0, 2, 0, 0, 0, -1, 0, 1, 1, 1, -1, 1, 0, 1, 2, 0, 0, 0, 2, -1, -1, 0, 4, 1, 0, 0, 0, -1, 0, -1, 1, -1, -1, -1, -1, 1, 1, 0, -1, 0, -1, 0, 1, 2, 1, 4, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, -1, -1, 0, 0, 0, 4, 1, -1, 2, -2, -1, 0, -1, 0, 1, 2, 1, 1, 1, -2, -2, -1, 0, 1, 0, 0, -1, 1, 4, -2, 0, -1, 0, 2, -1, -2, -1, 0, 0, 2, 2, 0, -1, -2, 2, 0, 0, 0, 1, -1, -2, 4, 1, 0, -1, -1, 0, 1, -1, 0, -1, 0, 0, -1, 0, 2, 0, -1, -1, -1, -1, 2, 0, 1, 4, -2, -1, 0, -1, 1, 1, 2, 0, -1, 0, -2, -1, -1, 0, 1, 0, 0, 0, -2, -1, 0, -2, 4, 0, 0, 0, 1, -1, -2, 0, -1, -1, 2, 2, 0, -1, 2, 1, -1, 1, -1, 0, -1, -1, 0, 4, 1, 1, -1, 1, -1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, -1, 0, 0, 1, 4, 0, -1, 0, -1, 1, 1, 0, 0, 0, -1, 1, -1, 1, -1, 0, -1, -1, 0, -1, 0, 1, 0, 4, 0, 1, 0, -1, -1, -1, 0, 0, 2, 0, -1, -1, -1, 0, 0, -2, 1, 1, 1, -1, -1, 0, 4, 0, 0, 0, -2, -2, 0, 1, 0, -2, -1, 1, -1, 0, 1, -1, -1, 1, -1, 1, 0, 1, 0, 4, 1, 1, -1, -1, 0, -1, 0, -1, -1, 0, -1, 0, 2, 0, 0, 2, -2, -1, -1, 0, 0, 1, 4, 0, 0, 0, -2, -1, 1, 0, 1, 1, 1, 1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 4, 1, 0, 0, 0, -1, 0, 2, 2, 1, 2, 1, 2, 0, -1, -1, 1, 1, -1, -2, -1, 0, 1, 6, 3, 0, -1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, -1, 0, 0, -1, -2, -1, 0, 0, 3, 4, 0, -1, 0, 2, 2, 0, -1, 0, -2, 0, -1, -2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 4, 1, 0, 0, 1, 0, 0, 0, -2, -1, 0, -1, 2, 1, 0, 0, 1, -1, -1, 0, -1, -1, 1, 4, 1, -1, 1, 2, -1, 2, -1, -2, 2, -1, 0, 1, -1, 2, 0, 0, 1, -1, 1, 0, 0, 1, 6, -1, 1, -1, 0, -1, 0, 2, 0, 0, -1, 0, 1, 0, -2, -1, 0, 0, 1, 2, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -1, -1, -1, 2, -1, 0, -1, 2, 1, 1, -1, 1, 1, -1, -1, 1, -2, 1, 1, 4, 2, 0, -1, 1, 0, 2, -2, 0, 0, -1, -1, 0, 1, -1, 1, -2, -1, 2, 1, -1, 2, 2, 4, 0, -1, -1, -1, 2, -1, 0, -1, 0, 1, 0, -1, -1, 2, -2, 0, 2, 0, -1, 1, 0, 0, 4, 1, 1, 1, 0, -2, 0, -1, 0, -1, 2, 0, 0, -1, 1, 1, 0, 0, -1, -1, -1, -1, 1, 6, 2, 1, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, 0, 1, -1, -2, 2, -1, 1, -1, 1, 2, 6, 3, 1, -3, 2, 0, -2, 0, 0, 2, 0, -1, 0, -1, 1, 1, -2, -1, 0, -1, 1, 1, 3, 4, 0, -1, 2, -1, -2, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 2, 2, 2, 0, -1, 1, 0, 4, -1, 0, 0, 0, 1, 0, 0, -1, 0, -2, -2, 2, 0, -1, -1, -2, -1, -2, 0, -3, -1, -1, 6, -1, 2, 0, 0, 0, -1, 1, -1, -1, 1, -1, -1, 2, 0, 0, 0, 0, 0, 2, 2, 0, -1, 4, 0, -1, 1, -1, -1, 1, 1, 0, -1, 0, -1, -1, -1, 0, -1, -1, 1, 0, -1, 0, 2, 0, 4, -1, 0, -1, 1, 1, 0, -1, 0, -1, -1, 0, 2, -1, 0, 0, 0, -2, -2, 0, 0, -1, -1, 4, 1, 0, -1, 1, 0, 1, 0, 0, -1, 2, 1, -1, 1, -1, -1, 0, -1, 1, 0, 1, 0, 1, 4, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 2, -1, 0, 0, 0, 0, -1, -1, 0, -1, 4, 0, 0, -1, 0, 1, 1, 1, 0, -1, 1, -1, 0, 0, 2, 0, 0, -1, -1, 1, -1, 0, 0, 4, 0, -1, 0, 0, 0, 2, -1, 1, -1, -1, 0, 1, 0, 0, -1, 1, 1, 1, 1, 1, 0, 0, 4, 1, 0, 0, -1, -2, 2, 1, 1, 2, -1, 0, -1, -1, 0, -1, 1, 0, 0, 1, -1, -1, 1, 4, -1, 0, 0, -1, 1, -1, -2, -2, 1, 0, 0, 0, -2, -1, 0, -1, 1, 0, 0, 0, 0, -1, 4, 1, -1, 1, 0, -1, -1, 0, 1, 1, -1, -1, -2, 1, -1, 0, 0, 0, 1, 0, 0, 0, 1, 4, -1, 1, 0, 1, 2, 2, 0, -1, 1, 0, 2, -1, 0, -1, 0, 0, 1, 0, -1, 0, -1, -1, 4, 2, -1, -2, 1, 0, 0, -2, 1, 0, 0, -1, -1, -1, -1, 0, 1, 2, -2, -1, 1, 1, 2, 6, -3, 1, -1, -1, -1, 2, -2, -1, -1, 2, -1, 0, 2, -1, 0, -1, 2, 1, 0, 0, -1, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 0, 1, -2, 2, 1, -1, 1, 1, 2, -2, -1, 1, -1, -2, 1, -1, 2, 0, 2, 4, -2, -1, 1, 0, -1, 1, -1, -1, 0, 1, 1, -1, -1, -1, 0, -1, 0, 0, 1, 1, -2, -2, 4, 0, -1, 0, 1, -1, -1, 0, 0, 0, -1, 1, 1, 1, 1, 1, -1, 0, -1, 0, -2, -1, 0, 4, 1, 0, 2, -1, 0, 1, 0, -1, -1, 2, 1, -1, -1, 2, 1, 0, 0, 1, 0, 1, -1, 1, 4, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, -1, 0, 1, 1, 0, -1, 2, 1, 0, 0, 0, 1, 4, -1, 0, 1, -1, 2, 2, 1, 0, -1, 0, 1, 0, 1, -2, -1, 1, -2, -1, 1, 2, 1, -1, 4, 0, 0, 1, 0, -1, -2, 2, 2, 0, -1, 2, 1, 1, -1, 1, 2, 1, -1, -1, 0, 0, 0, 4, 1, -1, 0, 1, 1, 0, -1, 0, -1, 0, 1, 0, 2, 0, 1, -1, -1, 0, 1, 1, 0, 1, 4, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 0, 1, 1, -1, 1, -1, 0, 4, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, -1, 4, 2, 1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, 0, -1, 1, 2, -1, 1, 0, -1, 2, 4, 2, -1, -2, -1, 1, 0, 0, -1, -1, 0, 2, 1, -1, -1, 0, 1, -2, 1, 0, 0, 1, 2, 4, -2, -1, 0, 0, -2, 1, 0, 1, 0, -2, -1, 1, 2, 1, 0, 2, 0, 0, 1, -1, -1, -2, 4, 0, 0, 0, 2, 0, 0, 0, 1, -1, -1, 1, 1, 0, -1, 2, -1, 0, 0, 0, -2, -1, 0, 4, 0, -1, 0, 1, 1, -1, 1, 1, -1, 1, -1, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 4, 0, -1, 0, 0, 1, 0, -1, 0, 1, -1, 0, 1, -1, -1, -1, -1, -1, 1, 0, 0, -1, 0, 4, 0, -1, -1, -2, 0, -2, -1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, -2, 2, 0, -1, 0, 4, 0, 0, 0, 1, 1, 0, -1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 4, -1, 0, 1, -1, 0, 0, 0, 0, -2, 1, 0, -1, 1, 0, -1, 0, 0, 1, 0, -1, 0, -1, 4, 1, 0, 2, 1, -1, 0, -1, -1, -1, 2, 1, 0, 0, -1, 1, 0, -1, 1, -2, 0, 0, 1, 6, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, 1, 1, -1, 1, -2, 0, 0, 1, 0, 0, 0, 0, -1, -1, -2, -1, 0, -2, 4, -2, -1, -1, -1, -2, 0, 1, 2, 0, 1, -1, 1, 0, 0, 0, 0, 1, 2, 0, -1, 2, -2, 4, 0, 0, 1, 2, 0, 0, -2, 1, -1, 1, -1, 0, 1, 1, -1, -2, -2, 0, 0, 1, -1, 0, 4, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, -2, -1, 1, 0, -1, 0, 1, -1, 0, 0, 4, 2, 1, 0, 0, -1, -2, -1, 2, -1, 0, -2, 0, 1, -1, -1, -1, 2, 1, -1, 1, 0, 2, 4, 0, 1, -1, -1, -1, 0, 2, -1, 1, -2, 1, 0, 0, -1, 0, 2, 1, -2, 2, 1, 1, 0, 4, 0, -1, -2, 1, -1, 1, -1, 0, 1, 0, -1, -2, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 4, -1, 0, 1, 0, 0, 1, -1, -1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, -1, -1, -1, 4, 0, 0, 0, 0, 1, -1, 1, 0, -1, 0, -1, -1, 0, -2, 2, -2, 0, -1, -1, -2, 0, 0, 4, -1, 0, -2, 0, 1, -1, 0, 0, 2, 2, 0, -1, 0, 0, 1, 0, -2, -1, 1, 1, 0, -1, 4, 0, -1, 1, -1, 2, 1, 0, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 4, 0, 1, 1, 0, -2, 0, 2, 1, -1, 0, 1, -1, 1, 0, 2, 2, 1, 0, 0, -2, -1, 0, 4, 0, 1, -1, 0, 0, -1, -1, 0, 2, 0, 1, -1, 1, -1, -1, -1, 1, 1, 0, 1, 1, 0, 4, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, -1, 1, 1, 0, 4, 0, -1, -1, 1, 1, 0, 0, 0, 0, 1, 0, -2, -2, 1, -1, 1, -1, 2, 0, -1, 1, 0, 4, -1, -1, -1, 0, 0, -1, 0, 0, 1, -2, 0, 1, 0, 1, 0, 0, 1, -2, 0, -1, -1, -1, 4, 0, -1, -1, 1, 0, -1, 0, -1, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 4, 0, 1, 1, 1, -1, 1, -2, 1, -1, 0, -2, 0, 0, 2, -1, 2, -1, 0, 1, -1, -1, 0, 4, 1, 0, 0, -2, 2, -2, 0, -1, -1, -1, 0, -1, 2, 0, 1, -1, 0, 1, 0, -1, 1, 1, 4, 1, -1, -1, 0, 0, -1, -1, 0, -1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 1, 4, -1, 0, -1, 0, 0, 2, 2, 0, 0, 0, -1, -1, 0, 2, 0, 0, -1, 0, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 1, 2, 0, 1, -1, 1, -2, -1, 1, -1, -1, 0, 2, -2, 0, 0, -2, 0, -2, 4, -2, 1, -2, -1, -1, -2, 1, 0, 2, 2, 0, 1, -1, 0, -1, 0, 0, 0, 2, 0, 2, -2, 4, 0, 0, 1, 0, 2, -1, -1, -2, 0, 0, -1, 0, -1, 1, 0, -1, 0, -1, 1, 1, 1, 0, 4, -2, -1, 0, -1, 1, 1, -1, 0, 1, 1, -1, 0, 2, 0, 1, 0, 1, 0, 1, -2, 0, -2, 6, 3, 0, 1, 0, -1, 0, -2, 1, 0, 0, -1, -1, -1, 1, -1, 0, 1, 2, -1, 1, -1, 3, 6, -2, 2, -2, -1, -1, -1, 0, -2, 0, 1, 1, -1, -1, -2, -1, 2, 0, -1, 0, 0, 0, -2, 4, 1, 1, 1, 1, -1, -1, 0, 1, 0, -1, 0, 1, 2, 1, 0, 1, -2, 2, -1, 1, 2, 1, 4, -1, 0, 0, -1, -1, -1, 1, 1, 0, 0, -1, 0, 0, 2, -1, 1, -1, 1, 0, -2, 1, -1, 4, 1, 0, 0, 1, 2, -1, 0, -1, 0, 2, 0, 1, 0, 1, 0, -1, 1, -1, -1, 1, 0, 1, 4, 1, 0, 0, 0, -1, 1, 1, -1, 1, 0, 0, -1, -2, 2, -2, -1, 0, -1, 1, 0, 0, 1, 6, 2, -2, 1, 1, 0, -2, -1, -1, 0, 3, 0, -1, 2, 0, 0, -2, -1, -1, -1, 0, 0, 2, 4, 0, 0, -1, -1, 0, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, 0, -1, -1, 1, 0, -2, 0, 4, 0, -1, -1, 1, -1, 2, 0, -1, 0, -1, 1, -1, 1, 0, -2, 0, -1, 2, 0, 1, 0, 0, 4, -1, 0, -1, 0, 0, 0, 2, 0, -1, -1, 0, -1, 0, 0, 1, 1, -1, -1, 1, -1, -1, -1, 4, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, -1, -1, 0, 0, 4, 1, 0, -1, 0, 0, 1, 2, -1, 1, 2, -1, 1, -1, 0, -1, 1, -2, 0, 1, -1, -1, 1, 4, 0, 0, -1, -1, 0, -2, 0, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, 1, -1, 2, 1, -1, -1, 2, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, -2, 2, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 4, 1, 0, -2, 2, -1, 1, 0, -1, 1, 0, 1, 0, 3, 0, -1, 2, 0, 0, -1, 1, 0, 1, 6, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, -1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, -1, 1, 0, -2, -2, -1, 1, -1, 0, 0, 0, 1, 1, 0, 0, -1, 1, -2, 4, -2, 1, -1, 2, -1, -1, 2, 1, -1, -1, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 2, -2, 4, -1, 0, -1, 1, 0, -1, -1, 1, 1, -1, 0, -1, -1, 0, 1, -1, 0, 0, 1, 0, 1, -1, 4, 1, 0, 1, -2, -1, -1, -1, 1, -1, 0, -1, 0, 0, 1, -1, 0, -1, 0, 1, -1, 0, 1, 4, 0, 2, -1, -1, -1, 0, 2, 1, 0, 0, -1, 2, 2, 0, 0, -1, 0, -1, 2, -1, 0, 0, 4, 0, 0, 2, 0, -1, 1, 0, 1, 1, 0, 1, 1, 0, -1, 0, -1, 1, -1, 1, 1, 2, 0, 4, -2, -2, -1, 1, 2, -1, -1, -1, 0, 1, 2, -1, 1, 0, -1, 0, -1, 0, -2, -1, 0, -2, 4, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, -2, 2, -1, -1, -1, 2, -2, 0, 4, 1, 0, -1, 1, 1, 1, 0, -1, -1, 0, -1, 1, 0, -2, 1, -1, -1, -1, 0, -1, 0, 1, 4, 0, -1, 1, -1, -1, 0, -2, -2, 1, 1, 0, 0, -1, -1, 1, -1, 0, -1, 1, 0, 0, 0, 4, -1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -1, 1, -1, 1, 1, 2, 1, 2, -1, -1, -1, -1, 4, -1, 0, 0, 0, 1, 2, -1, 0, 0, 0, -1, 0, -1, -1, 1, 0, -1, 1, 1, 1, 1, -1, 4, 1, 1, 0, 1, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 1, 4, 2, -1, 1, 0, 0, -1, -1, 0, 0, -1, -1, -1, 0, 1, -1, 1, 1, -1, -1, 0, 1, 2, 6, 0, 2, 0, 2, -2, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 4, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 2, 1, 1, 1, -1, -2, 0, 1, 1, 1, 2, 0, 4, 2, 1, -1, -1, 0, 1, -1, 1, 1, 2, 1, 2, 0, -1, -2, 0, 2, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, 2, 0, 1, 0, -1, 2, 0, 2, 0, 1, 0, 4, -1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, -1, -1, -2, 0, -1, 0, -1, 4, 1, 1, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 1, 0, -1, -1, -1, 1, -1, 0, -1, 1, 4, -1, 1, 0, 1, 0, 0, -1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, 1, -2, -1, 0, 1, -1, -1, 2, 2, -1, 1, -1, 1, 2, 1, -1, 1, 1, 4, -2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, -1, -1, -2, 4, -2, -1, -2, 0, -1, -1, 0, 0, 0, -1, -1, -1, -1, 0, -2, 0, 0, -1, -1, 1, 2, -2, 4, 2, 2, 0, -1, 0, 0, -1, -1, 1, 1, -1, 2, 1, 2, 0, 2, 1, -1, 2, 1, -1, 2, 4, 1, 0, -2, 0, 0, -2, -2, 2, 2, -2, 1, -1, 1, 0, 1, -1, 1, 1, 1, -2, 2, 1, 4, -1, 1, 0, 0, -1, 0, 1, 2, -1, 0, 0, 0, -1, 0, 0, -1, -2, 0, 0, 0, 0, -1, 4, 0, 1, -1, 1, 0, -1, -1, 1, -1, 0, 1, -1, 1, 1, 0, -1, 0, -1, -1, -2, 1, 0, 6, -1, 0, 2, 3, -1, 0, 1, 0, 2, 1, 1, 0, 0, -2, 0, 1, -1, 0, 0, 0, 1, -1, 4, -1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 1, 1, 2, 0, 0, 0, 0, -1, 0, -1, 4, 0, 1, 2, 0, -1, 0, 0, 1, 3, 1, 1, 0, -1, 0, 0, -1, -2, -1, 1, 2, -1, 0, 4, 1, -1, -1, 2, 0, 0, 1, 1, 0, 1, -1, -1, 1, 0, -1, -2, 0, 0, 3, 0, 1, 1, 4, 0, -1, 1, -1, 2, 1, 1, 0, 1, -1, 2, 2, -1, 1, 2, 1, -1, -1, 0, 2, -1, 0, 4, 2, -1, 0, -1, 1, 1, 0, 0, 1, 2, 1, -1, 1, 2, 2, -1, 0, 0, 0, -1, -1, 2, 4, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, -1, -2, -1, 1, 1, 1, -1, 2, 1, -1, -1, 4, 0, 0, 1, 0, -1, 1, 0, 1, 1, -1, 2, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 4, 1, 1, 1, 2, 0, -1, -1, 1, 0, 1, -1, 0, 0, 2, 0, 0, 0, 2, -1, -1, 0, 1, 4, 1, 1, 2, 1, -2, 1, 2, -2, 2, 1, 0, 1, 1, -1, 1, 1, 1, 1, 0, 1, 1, 1, 6, 3, 2, 1, -1, 2, 2, 0, 0, 0, -1, -1, 1, -1, 3, 1, 1, 1, 0, 0, 1, 1, 3, 6, 2, 0, -1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, -1, 2, 2, 2, 2, 6, 1, -2, -1, 1, -1, 1, -1, 0, 1, 0, 0, 1, 1, 1, 0, -1, 1, 0, 1, 1, 0, 1, 4, 0, 1, -1, -1, -1, 1, -1, 0, -2, 1, 0, -1, -1, 1, 0, 0, -1, -2, -1, -1, -2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -2, 0, 1, -1, 2, -2, 2, -1, 1, 2, -1, -1, -1, 2, 1, 1, 0, -1, 1, 4, -2, 2, -2, 0, 0, -1, 2, 0, 1, 0, 1, 2, -1, 1, 1, 2, 0, 2, 1, 0, -1, -2, 4, -2, 0, -1, -1, 1, -2, 0, -2, -1, -1, 0, 1, -1, -1, 0, -1, -2, -1, 1, 2, 2, -2, 4, -1, 1, 0, 0, 2, 0, 1, -1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, -2, -2, 0, -1, 6, 0, 1, -1, -1, 0, -1, -1, 0, -4, 1, 1, 0, -4, -1, 0, -1, -1, 0, 0, -1, 1, 0, 4, 0, 1, 1, -1, 1, 0, 1, 0, -1, -1, -1, 0, 2, 1, 1, 1, 1, 0, -1, 0, 1, 0, 4, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, -1, 0, -1, -1, 1, 0, -1, 1, 0, 4, -1, 1, -1, 1, 0, 1, 0, -1, -1, 1, 0, -1, 0, 2, 2, 2, -2, 2, -1, 1, 0, -1, 4, -2, 1, -1, 1, 0, -2, 0, 0, 1, 1, 2, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, -2, 4, -1, 1, -1, 0, 2, 1, 1, 0, 0, -1, 0, 1, 2, 1, -2, 1, -1, 1, 0, -1, 1, -1, 4, 1, 1, 1, -1, -1, -1, 1, 1, 1, 2, -1, -1, 0, -1, -1, -1, 0, 0, 1, -1, 1, 1, 4, 0, 1, -1, 0, 0, 1, 0, -1, 1, 0, 1, 1, -1, 0, 0, 1, 1, 0, 1, -1, 1, 0, 4, 0, -2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, -4, 0, 1, 1, 0, 0, 1, 1, 0, 6, -1, -1, -1, 4, 0, 0, 1, 1, -1, -1, 1, 0, 1, -1, 0, 0, -2, 2, -1, -1, -2, -1, 4, 1, 1, -1, 0, -1, -1, 0, -1, 1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 0, 0, -1, 1, 4, 2, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, -1, 0, -1, 0, 1, -1, 0, 0, -1, 1, 2, 4, -1, 0, 0, 0, -1, 2, 2, 0, 1, -4, 0, 1, 1, 1, 0, 1, 1, 0, 4, -1, 0, -1, 6, 1, 0, 1, 1, 1, 0, -1, 1, -1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 4, 0, 0, 1, 1, 2, -2, 2, 0, 1, 0, -1, 2, -1, 1, -1, 1, 0, -1, 0, 0, 0, 0, 4, 1, 0, 0, 1, -1, 0, -1, 1, -1, 0, 0, 0, 2, 1, 1, 1, -1, 0, 0, 1, 0, 1, 4, -1, -1, 0, 1, 0, -1, 1, 0, 2, 0, 1, -1, 0, 0, 1, 0, -1, -1, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, -1, 0, 1, 0, -1, -2, 1, 1, 1, 0, 2, 1, -1, 2, 0, -1, -2, 0, -2, 4, 1, -1, -1, 0, -1, 1, 1, 2, 0, 0, -1, 1, -2, -1, 0, -1, 0, -1, 1, -1, 0, 1, 4, 1, -2, 0, 1, -1, 0, 1, -1, 1, 1, 2, -1, 1, -1, 1, -1, 1, 0, 1, 1, -1, 1, 4, -1, -1, 2, 0, 0, -1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, -1, -1, -2, -1, 6, 2, 0, 2, -2, 0, -1, 0, 0, -3, 0, -1, 2, -3, -1, 2, 2, -1, 0, 0, 0, -1, 2, 4, -1, 1, -2, 0, -1, -1, 0, 0, 0, -1, -1, -2, -2, 2, 1, -1, 1, -1, 1, 2, 0, -1, 4, -1, -1, -1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, -1, 0, 0, 1, -1, 0, 2, 1, -1, 4, 0, 0, 0, 0, 0, -1, 0, -1, 1, -2, -1, -1, 2, -1, -1, 1, 0, 0, -2, -2, -1, 0, 4, 0, 1, 0, 0, 1, 0, -1, 1, 0, 1, -2, 1, 0, -2, 2, 1, -1, 0, 0, -1, 0, 0, 4, -2, 0, -2, 0, -2, 0, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, -1, -1, 1, 0, 1, -2, 4, 1, 1, 1, 1, 0, 1, 0, 2, -2, 0, 0, 1, 0, 1, 1, 0, -1, 2, 0, 0, 0, 1, 4, 0, 1, 0, 2, 1, 2, 0, -1, -1, 1, 1, -1, 1, 2, 0, 0, 2, 0, 0, -2, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, -3, 0, 0, -1, 1, 0, 1, 1, 0, 4, 0, 1, -1, 1, 0, -1, 0, 1, 2, -2, -1, 1, 0, 0, 1, 0, 0, -2, 1, 0, 1, 0, 4, 1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 1, -1, -1, 2, -1, -1, 0, 0, 2, 0, 1, 1, 4, 0, 2, 0, 0, -2, 2, -1, 0, -1, 1, 2, -1, 0, 1, 1, 0, 1, 1, 0, -1, 0, 0, 4, -1, 1, 0, 2, 1, 2, -1, 1, 2, -3, -2, 2, -2, 0, 0, 0, 2, 0, 1, 0, 2, -1, 6, 1, 0, -2, 1, 0, 0, -1, 1, -1, -2, 1, -1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 4, -1, 0, 0, -1, -1, 1, 1, 2, 2, 1, -1, -2, 1, -2, -1, 1, -1, 0, 0, 0, 0, -1, 6, 2, 0, -2, 1, 0, 1, 2, 1, -1, 2, 1, 1, 0, -1, 1, 0, -1, -2, 2, -2, 0, 2, 6, -1, 0, -1, 1, 1, -1, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -1, -1, -1, 1, 1, 1, -2, -1, -1, 1, -1, 0, -1, 1, 2, -1, -1, -2, 1, 4, 1, 0, -2, -2, 0, -1, 1, 1, -1, -2, -1, -1, -2, -1, -2, 0, 0, 0, -1, 1, 2, 1, 4, -1, 0, -2, 0, 1, 1, 2, -2, -1, 0, -1, -1, 1, -2, 1, 2, -1, -1, -2, 1, 0, -1, 4, 0, 1, -1, 1, 0, 0, 1, -1, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, -1, -2, 0, 0, 4, 0, -1, 2, -1, -1, 1, 2, 1, 0, 1, 1, 0, 1, 1, -1, 1, -1, -1, -2, -2, 1, 0, 4, 1, 0, -1, -1, 1, 1, 1, 0, 1, 1, 2, -1, -1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 4, -2, -1, 0, -1, 0, -1, -2, 1, -1, 1, 0, -1, 0, -1, 0, 1, -1, 1, 1, 2, 0, -2, 4, 1, 0, 1, 0, 1, 1, 0, 2, -1, 1, 2, -1, 1, -1, 1, 1, 1, 0, -1, -1, -1, 1, 4, 2, 0, -2, 0, 1, -1, 0, 0, -1, 1, 1, -1, 1, 1, 1, 2, 0, -1, -1, 0, 0, 2, 4, -1, -1, 0, 0, -1, 0, 0, -1, 1, 1, -1, -1, -2, -1, -2, 1, 1, 1, -1, 1, 0, -1, 4, 1, 1, 0, 0, 1, 0, -1, -1, 1, 2, 1, -1, -2, -1, -1, 2, 1, 0, 0, -2, -1, 1, 6, 2, 0, 1, 1, 1, 0, -1, 0, 1, -2, -1, -1, 0, 0, 1, 1, -1, 1, 0, 0, 1, 2, 4, 0, 0, 2, 0, -1, -1, 0, 1, 0, 1, -1, -1, 1, 0, 0, -2, 1, 1, 0, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 1, 0, -1, -2, -1, 1, 1, 1, 1, 0, -1, -1, 0, 1, 0, 0, 4, -1, 1, 1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 1, -1, 2, 0, 0, 1, 1, 2, 0, -1, 4, 0, 0, 0, 0, 1, 0, -1, -2, -2, 0, 0, 2, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 4, -1, -1, 1, 0, 1, 1, 0, 1, 1, 1, -1, 0, 1, -1, -1, -1, 0, -1, 0, 1, 0, -1, 4, 1, -2, 1, -2, 2, 0, 2, 0, 1, -1, -1, 2, 1, 1, -1, -1, -1, 0, 0, 0, -1, 1, 4, -1, -1, -1, -1, 0, -1, -1, -1, 1, 0, -1, 1, 1, 1, 0, 0, 0, -1, 0, 1, -2, -1, 4, 0, 2, -1, -1, -1, 1, 1, 0, -1, 1, -1, -1, 2, 1, 1, 1, 0, 1, 0, 1, -1, 0, 4, -1, -2, 1, -2, -1, -1, 1, 0, -1, 1, -1, 1, -2, 0, 0, -1, 0, 1, -2, -1, 2, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, -2, -2, 0, 0, -1, -2, 1, -1, 1, 1, -1, 0, 1, 0, 2, 2, 0, -1, -1, 6, -3, 1, -1, 1, -1, 2, -1, 2, 1, 3, 1, 2, -1, 2, 1, 2, -1, 1, -2, 2, 2, -3, 6, -2, -1, -2, 2, -1, 2, -1, 1, 0, 1, -1, -1, -1, -2, -1, 2, 1, 1, -1, 0, 1, -2, 4, 1, 1, -2, 2, -2, 0, 0, 0, 0, 1, 0, -1, 1, 1, 0, 0, -1, 0, -2, -1, -1, 1, 4, 2, 0, 1, 0, 0, -1, 0, -2, -1, 1, 0, -1, -1, 0, -1, 1, -1, -2, 1, -2, 1, 2, 4, -1, 1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, -1, -1, -1, 1, 0, -1, 2, -2, 0, -1, 4, 0, 1, 0, 1, 1, -1, 0, 1, 1, -2, -1, 1, 0, 1, -1, 0, 2, -1, 2, 1, 1, 0, 4, -2, 0, 1, 1, 0, 2, -1, 0, 0, 1, 1, 1, -1, 0, -1, -1, 2, -2, 0, 0, 1, -2, 4, 1, 0, 1, 0, -2, 0, 0, -1, 0, -1, -1, 0, 0, -2, 2, -1, 0, 0, 0, 0, 0, 1, 4, -1, 2, 0, 0, 1, 0, -1, 0, -2, 0, 0, 0, 1, 1, 1, 0, -1, 0, 1, 1, 0, -1, 4, 2, 0, 0, -1, 0, 1, 1, 1, 1, -1, 0, -1, 3, 0, 0, 0, 1, 1, 1, 1, 2, 2, 6, 0, 0, -1, 0, 0, 2, -1, 0, -1, 1, 1, 1, 1, 0, -2, -1, -1, 0, 0, 0, 0, 0, 4, 0, -1, -1, 1, 0, 1, 1, 0, 1, 1, 2, -1, 1, -1, 0, 0, 2, -2, 0, 0, 0, 0, 4, -1, 1, 0, 1, 0, 1, -1, 1, -1, -1, -1, 0, 1, 0, 1, -1, 0, 1, -1, -1, -1, -1, 4, 1, -1, -2, 0, 0, 2, -2, 0, 2, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, 4, -1, 0, 0, 1, 0, 0, 1, 1, -2, 1, -1, 1, -2, 0, -1, -1, 1, 0, 1, 0, -1, -1, 4, 1, 0, 0, -1, 1, 0, 2, -1, 1, -1, 1, -1, 1, 0, 0, 1, 2, 0, 1, -2, 0, 1, 4, -1, 0, -2, 2, 2, -1, 2, 0, 0, -1, 1, 1, -1, -2, 1, -1, 1, 0, 0, 0, 0, -1, 4, 1, 1, -1, 2, 1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 4, 1, -1, 0, -2, 1, -1, 1, -1, 1, -1, 0, 0, -1, -1, 0, -1, 2, 0, -1, -2, 1, 1, 4, -2, -1, 2, -1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 1, -2, 0, 1, 2, -1, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, -2, -2, -1, 1, 1, 1, -1, 1, 1, -1, -2, 2, 0, 1, 0, 0, 0, 2, 6, 0, 2, 1, -3, -1, -1, 0, 0, -2, -3, -1, 2, -1, -3, 1, -2, 2, 2, 1, 0, 0, 0, 4, -1, -1, 0, 1, 1, 2, 2, -1, 2, 1, 0, -2, -2, 0, 1, -1, -1, 0, 1, 1, 2, -1, 4, 0, -1, 0, -2, -1, 0, 1, -2, 0, 2, 1, -2, -1, -1, 1, 1, 0, 0, 2, 1, -1, 0, 4, -2, -2, 0, -1, -1, 1, -2, 1, -1, 0, 1, 1, 0, 0, 0, -1, -1, -2, -3, 0, -1, -2, 4, 2, 1, 0, 0, 1, 2, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, -2, -1, 1, 0, -2, 2, 4, 1, 0, 0, -1, 2, -1, 1, 0, 0, -2, -1, -1, 1, 0, 0, -1, -1, 1, -2, 0, 1, 1, 4, 1, -1, -1, 2, 1, -1, 0, 1, 1, 0, -1, 0, 1, 0, 1, 0, 2, -1, -1, 0, 0, 1, 4, 2, 0, 2, 1, 1, -1, -1, 1, 0, -1, 0, 0, 0, 1, 0, 2, 0, -1, 0, 0, -1, 2, 4, 1, 1, 0, 1, -1, -1, 0, 0, -1, 0, 0, 1, 1, -2, -1, 1, 1, 1, -1, -1, 0, 1, 6, 1, 0, 0, 1, 1, -1, 1, -1, -1, -2, -1, -1, -3, 2, -2, -2, 2, 2, 2, 2, 1, 1, 6, 1, -1, 0, 1, 0, 1, -2, -1, -1, -1, 1, -1, 1, 0, 1, -1, -1, 1, 1, 0, 0, 1, 4, -1, 0, 0, 1, 1, -1, -1, 0, 0, 1, 2, 0, 2, -1, 0, 1, -1, 1, 1, 0, -1, -1, 4, 0, -2, -1, -1, 1, 1, 1, 0, -1, -1, -2, 1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 4, 2, -1, -1, -1, 0, 0, -1, -2, -3, -2, -2, 1, 1, 0, 1, -1, -1, 1, 1, 0, -2, 2, 6, 0, 0, -2, 0, -1, -1, 2, 1, 0, -1, 1, -1, -2, 1, 1, 0, -1, 0, 1, -1, -1, 0, 4, 0, 1, 0, 1, 1, 0, -2, 1, -1, 0, 0, -1, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0, 4, 0, -2, 0, 0, 1, 2, -1, 1, 0, 0, -1, -1, -1, -1, -1, -2, -1, 1, -1, -2, 1, 0, 4, 0, 1, 1, 0, 2, -1, 1, 0, 0, 1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 0, -2, 0, 4, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, -2, -1, 0, 1, 0, -1, 1, 0, 1, 1, 4, 1, 0, 0, 1, 0, -1, 1, 0, 0, 0, 1, -1, -1, 0, 0, -1, -1, 1, 0, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 1, -2, -1, 2, 0, -1, -1, -1, 1, 2, 0, 2, 1, -1, 1, 1, -1, -2, 1, 4, -1, 1, 0, 0, 1, 2, -1, -1, 0, -1, 0, 2, 1, -1, 0, -2, 1, 2, -1, -2, 0, -1, 4, -2, -1, 0, 0, -2, 1, 2, 0, 1, -1, -1, -2, 0, 0, -1, -1, 1, 0, 0, -2, 1, -2, 6, -1, 1, 2, 0, 1, 0, -1, -1, 1, -2, 1, -1, -2, -1, 1, 1, 1, 2, 1, 0, -1, -1, 4, -1, 0, 0, -1, -2, 1, 0, 1, 1, 0, 2, 2, 2, 0, -2, -1, -2, -2, 0, 0, 1, -1, 4, 1, -2, -1, 0, 1, 0, -2, -2, -1, -2, -1, -1, -1, 1, 0, 0, -1, 1, 0, 2, 0, 1, 4, 0, 1, 0, 0, -1, -1, -2, 0, -1, 0, -2, -1, 2, 1, -1, 2, 2, -2, 0, 0, -2, 0, 6, 1, 0, -1, -2, 1, 2, 3, 1, 1, 0, 2, 0, -1, -2, 0, -1, 1, 1, -1, -1, 1, 1, 4, 1, -1, -1, 0, -1, 1, 1, -1, -1, 0, 1, 0, 0, -1, -1, 2, 0, -2, 0, 0, 0, 1, 4, -1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, -1, -1, -1, 4, 2, -1, 0, -1, -1, 1, 0, -2, -1, 0, 0, -1, -1, 1, -1, 0, 0, -1, -2, -1, 0, 2, 4, -1, -1, -1, 0, 0, 0, -1, -1, 0, 1, 1, 0, -1, 1, 1, -2, -1, 1, 0, 0, -1, -1, 4, 2, 1, 1, 0, 2, 2, -2, 0, 1, 2, 2, -1, -2, 1, -2, -2, 2, -1, -1, 0, -1, 2, 6, 2, 0, 0, 1, 2, -1, -1, -1, 0, 1, -2, 1, 0, -1, 0, 3, 1, 0, -1, -1, 1, 2, 4, 0, -1, 1, 2, -1, -1, -1, 2, -1, 0, -1, 2, -2, -1, 1, 1, -1, -1, 0, 1, 0, 0, 4, 1, 1, 1, -1, -1, -1, 1, 0, 0, -2, 2, -1, 0, 1, -1, -1, 1, 0, 0, 0, -1, 1, 4, 1, -1, -1, 0, -1, -1, -2, -1, -1, 2, -1, -2, 0, -1, 0, 0, 0, 2, 1, 1, 1, 1, 6, 1, -4, 0, 1, 1, 1, -1, 1, 0, -1, -1, 2, 0, 0, -2, -1, 2, 2, 2, 1, -1, 1, 4, -1, -1, 0, 1, 2, 1, 1, -2, 1, 2, 0, 1, 0, -1, -1, -2, -1, -1, -1, -1, -4, -1, 6, 1, -1, -1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, 4, 2, -2, -2, 0, 2, -2, 0, -1, -2, 0, 1, 0, 1, 1, -1, -1, -1, -1, 1, 0, -1, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 0, 1, 0, -1, 0, 2, -2, 0, -1, 1, 1, -1, -1, 1, -1, -1, 1, 0, 2, -1, 4, -1, 1, -2, 1, 2, -1, -2, 2, 0, 1, -1, -2, 1, 0, -2, 1, 1, 1, 0, -2, 0, -1, 4, -2, -1, 1, 0, 1, 2, 1, -1, 0, -1, 0, 0, -1, -1, -2, -2, 0, -1, 2, 0, 1, -2, 4, 0, 1, -1, -2, 0, 1, 0, 0, 0, -1, -1, -1, 1, 0, 1, 0, 0, -2, 1, -2, -1, 0, 4, -2, -1, 1, 0, -3, 0, 0, 2, 1, -1, 1, 1, 0, -1, -1, 0, 0, 0, 1, 1, 1, -2, 4, 1, -1, 2, 2, -1, -1, 0, 0, 0, -1, -1, 0, 1, 0, -1, 1, -1, 2, 0, -1, -1, 1, 4, 0, -1, 1, -1, 0, 0, -1, 1, 0, -2, 2, 1, 1, -1, -1, 0, -1, 1, -2, 1, -1, 0, 4, 1, 0, 0, 1, 1, 1, -1, 1, 0, 0, -1, 0, 0, 2, 2, -2, 2, 0, 0, 2, -1, 1, 6, 0, 0, 0, 1, 1, -2, -1, 1, -1, -1, 0, 0, 3, -2, 2, 1, 1, -3, 2, 1, 0, 0, 6, 0, 1, -2, -1, 1, 0, -2, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 4, 0, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, 4, -1, -2, 0, 1, -1, 0, -1, -1, 0, -1, 1, -1, -1, 0, 2, 0, 0, 1, 1, -2, -1, -1, 4, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, -2, 0, -1, 1, 0, -1, 1, 1, -1, 1, -2, 1, 4, -1, 1, 1, 0, 0, 0, 1, 2, -1, 1, 0, -1, -1, 0, 1, -1, -2, 1, -1, 0, 0, -1, 4, 0, -2, 0, 1, 0, 0, 0, -1, 0, -1, -1, 1, -1, 0, 1, -1, 0, 1, 1, 0, 1, 0, 4, 0, 1, 0, -1, 1, 0, 1, -2, -1, 1, 1, -1, -2, 0, 1, -2, 1, -1, 1, 1, -2, 0, 4, 0, 0, 0, 1, 1, -1, 1, -2, 0, 0, 0, 2, 0, -1, 0, 1, 0, 1, 0, 0, 1, 0, 4, 2, 1, 1, -1, -1, 1, -2, 1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 0, 1, 0, 0, 2, 4, 0, 0, -1, 1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0, -1, 0, 1, 0, 4, 1, 0, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 4, 0, 2, -2, 2, -2, 0, 1, -1, 2, 3, -1, -1, -1, 2, 2, 0, 0, 1, -1, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 1, 0, 1, -2, 0, -2, 0, 0, 1, 1, 1, 0, 1, 0, -1, -1, 1, 1, 4, 0, 0, -1, 1, 1, 2, 0, -1, 1, 1, 1, 1, 2, -1, 1, -1, 1, 1, 1, 1, -1, 0, 4, -2, -1, 1, -1, 1, 2, -1, 2, -1, -1, 0, -1, 1, -1, 1, -1, -1, 0, -1, 2, 0, -2, 4, -1, -1, 0, -1, -2, 1, -1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 4, 0, -1, -1, 0, -1, -1, 0, -1, -1, 0, 0, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 0, 4, 1, 2, 0, -1, 1, 0, -1, -1, -1, 0, 1, 1, -1, -1, 1, 1, 0, 1, -1, 0, -1, 1, 4, 1, -1, 1, 1, 1, 0, -1, 0, -1, 1, 0, -1, 0, 0, 2, 1, 2, 1, -1, -1, 2, 1, 4, 1, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, 2, -2, 0, 0, -1, 1, 4, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, -1, -1, 1, -1, -1, 1, 0, -1, 4, 0, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -2, 1, 2, -1, -1, 1, 1, 1, 2, 0, 6, 2, 0, 1, -1, 0, 1, 1, -1, -1, 2, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 1, 2, 4, 0, 1, 0, 0, 1, -1, 1, 1, 1, 0, 0, 1, -1, 1, -1, -1, 0, -1, 0, -1, 0, 0, 4, 0, 1, -1, 1, -1, 0, 0, 0, 1, 1, 1, 0, 1, -1, -1, -1, 1, 0, 1, 1, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, -1, 1, 2, -1, 1, 0, -1, 0, 0, 0, -1, -1, 0, 1, 0, 4, -1, -1, -1, 2, 1, -1, 1, 1, -1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 1, -1, 4, -1, 1, -1, -1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 0, -1, 0, 1, 1, 1, 0, -1, -1, 4, 0, 0, 0, 1, 1, 1, -1, 1, 0, -1, 1, 0, 0, 0, 0, 1, -1, -1, 0, -1, 1, 0, 4, -1, -2, 0, 0, 0, 1, -1, 0, 1, -1, -1, -1, 0, 0, -1, 1, 0, 0, 2, -1, 0, -1, 4, 1, 0, 0, -1, 1, -1, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, -2, 1, 4, 1, 0, -1, 1, 0, -1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, -1, 0, 1, 0, 0, 1, 4, -1, 1, 1, -1, 1, -1, 1, 2, 0, -1, 0, -1, 0, 1, -1, 1, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, -2, 1, -1, 0, 0, 1, -1, -1, 0, 0, 1, -1, 1, 1, -1, 0, 1, 4, 1, -2, 1, 1, -1, 0, 1, 0, 0, 2, 0, -2, 0, 1, -1, -1, 1, 1, 0, 1, 2, 1, 4, 0, 0, 2, -2, 0, 0, 0, 1, 2, -1, -1, -1, -1, -1, -2, 0, 2, -1, -1, -1, -2, 0, 4, -1, -1, 1, 1, -1, -1, 0, -2, 1, 0, -1, -2, 0, 0, -1, 0, 0, -2, -1, 1, 0, -1, 4, -1, 0, -2, 0, 1, -1, 2, -1, -1, -1, 0, -2, 0, 1, 0, 0, 1, 1, 1, 2, -1, -1, 4, -2, 0, 0, 1, 1, 0, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -2, -1, -2, 1, 0, -2, 4, 0, 0, 0, -1, -1, 1, 1, 0, -1, 0, 2, 0, -2, 2, 0, 1, 0, 0, 1, -2, 0, 0, 4, 0, 0, 1, -2, 2, 0, 0, -1, 1, 0, 0, 0, 1, -1, -1, 1, 0, -1, 0, 0, 0, 0, 4, -1, 0, 0, 1, 1, 1, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 4, 1, 1, -1, -1, -1, 1, -1, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, -1, 1, 0, 1, 4, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, -2, 2, 0, -1, -2, 0, 1, 0, 6, -2, -1, -2, 1, -1, -2, 0, 1, 0, 2, -1, 0, -1, 1, -1, -1, 1, 2, 1, -1, 1, -2, 4, 0, 1, -1, 1, 0, 1, 0, 1, 0, -1, -2, -1, 0, -1, -1, 1, 0, 1, -1, 0, -1, 0, 4, 0, 0, 1, 1, -1, -1, 1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 1, -1, -1, -2, 1, 0, 4, 0, 0, 0, 1, 0, -1, 0, 0, 1, -1, -2, 0, 1, -1, -1, 0, 1, 0, 1, -1, 0, 0, 4, 1, 0, -1, 0, 0, 2, 1, -1, -1, 0, -2, -1, 0, 1, -1, -1, 1, -1, 1, 1, 0, 1, 4, 1, 0, -1, 0, 1, -1, -1, -2, 0, 0, -1, 2, 0, -1, 0, 0, -2, 0, 1, 0, 0, 1, 4, 0, -2, 1, 0, 1, 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 1, -1, 0, 0, 4, 0, 0, 1, 1, 1, 2, 0, 0, 1, -2, 0, 1, 0, 0, 1, 0, -1, 0, 0, -1, -2, 0, 4, 0, 0, -1, 0, -1, 0, 0, -1, 2, 1, 1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 0, 0, 4, 0, 0, 1, -1, -2, 1, -1, 0, -1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, 1, 1, 0, 0, -2, 0, -2, -1, 0, 0, -1, 2, -2, -1, -2, -1, 0, -2, 6, 2, -2, -1, -3, -1, 0, 1, 1, -2, 2, -1, -1, -1, 2, -1, 3, -1, 1, 1, -2, 0, 2, 4, -2, 0, -1, 1, -1, 0, 0, -1, 2, -2, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, -2, -2, 4, 1, 1, 1, 1, -1, 0, 2, -2, 1, -1, 0, -2, -1, -1, 2, 0, 0, 0, -1, -1, 0, 1, 4, 2, 1, -1, 0, 1, 0, 1, 1, 0, 1, 1, -1, 1, 1, 1, 0, 1, 1, -3, -1, 1, 2, 6, -1, 0, 1, 1, 1, -1, 2, -1, -1, -1, -1, 0, -1, 1, -2, 1, 1, -1, 1, 1, 1, -1, 6, 1, -1, 0, 2, 0, -2, 0, 0, 1, 1, -3, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, 1, 4, -1, 0, 1, -1, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 1, -1, -1, 4, 0, 0, 0, 1, -1, -1, 1, 0, 2, -1, 0, -1, 0, -2, 1, 0, 0, 1, 1, 0, 0, 0, 4, 1, 1, 1, 0, 0, 1, -2, 1, -1, 2, 0, -1, 0, -2, -1, 2, 0, 1, 2, 1, 0, 1, 4, -1, 1, -1, 0, -1, 0, -2, 0, 1, -1, -1, -2, 2, 2, -2, 1, -1, 0, -1, 0, 1, -1, 4, -1, 1, 0, 2, 0, 1, 0, 1, 0, 0, -1, -1, -2, 1, 1, 2, -2, 0, 1, 1, 1, -1, 4, 0, 1, 0, -1, 2, 0, 1, -1, 1, 0, -1, 0, -1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 4, 1, 1, 1, 0, 0, -1, 0, 2, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0, 0, 0, 1, 1, 4, 1, 0, 0, 1, 0, 1, 0, -1, 2, 1, -2, 1, -1, 1, 0, 1, 1, -1, 2, 0, 1, 1, 4, 0, 2, -1, 1, 0, 0, 2, -1, 0, -1, -1, -1, 1, 1, 0, -2, 0, 0, -1, 1, 0, 0, 4, -1, 0, -2, -1, 1, -2, 3, 0, -1, 1, 0, -3, 0, 2, 1, -2, 1, 2, 0, 0, 2, -1, 6, 0, 1, 0, 1, -1, -1, -1, 2, 1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 4, -1, 1, 1, -2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, -1, 0, 1, -2, 1, -1, 4, 1, -1, -1, 1, 0, 0, 0, -2, 0, -1, -1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 1, 1, 4, -1, 0, -2, -1, 0, 1, 1, -1, 0, 0, -1, -1, 0, 1, 2, 0, 0, 1, 1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, -1, -1, 0, 1, -2, 2, 2, 1, -1, -1, 2, 0, -1, 1, 0, -2, 1, 0, 2, 4, -1, 0, -1, 0, -1, -1, -2, 1, 0, 0, 0, 0, 0, -1, -1, 1, 0, -2, 0, 1, 0, -1, 4, 1, 2, 0, -1, 1, 1, 1, 1, 1, 1, -1, 2, 0, -1, 1, -1, 1, 0, -2, 1, 0, 1, 4, 1, -2, 0, 0, -1, 1, 0, 1, 0, -1, 2, -1, 1, 2, 1, -1, -1, 0, -1, -1, 2, 1, 4, 1, -1, 0, 1, -1, -1, 1, 2, 0, 0, -1, 0, 1, 1, 1, -1, 0, -1, 0, 0, -2, 1, 4, 0, 0, 1, -1, -1, -1, 0, 0, -1, 0, -1, -1, -1, 1, 0, 0, 0, -1, -1, 0, -1, 0, 4, 1, 1, -1, 0, 1, -2, -1, 1, 0, 2, -1, -1, 1, -1, 1, 1, -1, 1, 0, 0, 0, 1, 4, 1, 1, 1, 1, -1, 0, 2, 1, -1, -1, 0, 1, 0, 0, -2, -2, 1, -1, 1, 1, 1, 1, 4, -1, -1, 1, 0, 1, 0, 1, 0, -1, -1, 2, -1, 0, 2, 1, 1, 1, -1, -1, -1, 1, -1, 4, 2, 1, 0, 0, 2, 1, -1, 1, 0, -1, 1, -1, 2, 0, 1, 0, -1, -1, 0, 1, -1, 2, 4, 0, -1, 0, 2, 0, 0, 1, -1, -1, 2, -1, 1, 0, 1, 1, 1, -1, 1, 1, 1, 1, 0, 4, 0, 0, 2, 1, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, 2, 0, -2, -1, 0, 0, -1, 0, 4, 1, -2, 0, 0, 0, 1, 0, -1, -1, -1, 0, -1, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 4, -2, 1, 0, -1, 0, 0, 0, 1, 2, 0, 2, 2, 0, -1, 1, 2, 0, 2, 2, 2, -2, -2, 6, -1, -1, 2, 0, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 1, 0, 1, 0, 1, -1, 4, 0, -2, -1, 1, 0, 0, -1, -1, -1, 1, 0, -1, 2, -1, 0, -1, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, -1, 1, 1, 1, 1, 2, 1, -1, -1, -1, -1, 1, 1, 0, 0, -1, 2, -2, 0, 4, 1, -1, 1, 0, 0, 0, -1, 1, 1, -1, -1, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, 1, 4, -1, 0, 1, -2, -2, 1, -1, 1, 1, 1, 1, 2, -1, -1, 1, 0, 0, 0, 1, 0, -1, -1, 4, 0, 0, 1, 0, 0, -1, -1, 0, -1, 0, -1, 1, 2, -1, -1, 0, 1, 0, -1, 1, 0, 0, 4, -1, 0, 1, -2, 0, 0, 0, 1, 0, 0, -1, -1, 1, -1, 1, 0, 0, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 1, 1, 1, -1, 1, 1, 2, -1, -1, -1, 1, 0, 1, -2, 2, 1, 4, -1, 0, -1, 0, 1, 0, 2, 0, 1, -1, -1, 2, 0, 1, 0, -1, -1, 2, -1, 2, -1, -1, 4, -1, 0, 1, 0, 1, 0, -2, 0, 0, 0, -2, -1, 0, 2, 0, 2, 0, 0, 1, -1, 0, -1, 4, -1, -2, 0, -2, 0, -1, -1, -2, -1, -1, 1, 2, 0, 0, -2, 0, 2, -1, 1, -1, 0, -1, 4, 0, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 1, 2, 1, -1, -2, 0, 1, 0, 1, -2, 0, 4, 1, 0, 0, 0, -1, 2, 1, 1, 0, -2, -1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 4, -1, 1, 0, -1, 1, 0, 0, -1, 1, 0, 1, 1, 1, -2, 1, 1, 0, 1, -2, 0, 0, -1, 4, 1, 0, 0, 1, 1, 1, 0, -1, 1, -1, 0, 1, -1, 1, 1, 2, 0, 0, -1, 0, 1, 1, 4, -1, 0, -1, -1, 2, 1, 1, 0, -1, -1, 2, -1, 1, 1, 0, -2, -1, 1, 0, 0, 0, -1, 4, 1, 2, 1, 2, -1, -1, -1, 1, 0, -1, 0, 0, -1, 1, 0, -1, 0, -1, -1, 0, 0, 1, 4, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 1, -1, 0, -2, 0, 2, 1, 1, -1, 2, 0, 6, 1, 1, -1, -1, 0, 1, 2, -1, -1, 1, 1, -1, 0, -1, 1, 1, 0, 1, -1, 1, 0, 1, 4, -1, 0, -1, -1, 0, 0, -1, 1, -1, 2, 2, -2, -1, 0, 1, 0, 1, 2, 2, 0, 1, -1, 6, 0, -1, -1, 0, -1, 1, -1, 3, -1, 0, -1, 1, -1, 0, -1, 0, 1, -1, 0, -1, 0, 0, 4, 1, -1, -2, -1, 1, 2, -2, -1, 1, 0, 2, 0, -2, 1, -1, 1, -1, 1, -1, -1, -1, 1, 4, 1, 0, -1, 1, 0, -1, -1, 0, 2, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, -1, -1, 1, 4, 0, 1, 0, -1, 1, 1, -1, 0, 0, 2, 0, 1, -1, -1, 1, -1, 1, 0, 0, -2, 0, 0, 4, 1, -1, -1, 1, 0, -1, 2, -2, 1, 2, 1, 0, -1, 0, 0, 2, 0, -1, -1, -1, 1, 1, 4, -1, -1, 1, 1, 2, 0, 0, -1, 0, 1, 1, 2, -1, 0, -1, -1, 1, 1, 1, 0, -1, -1, 4, 0, 1, -2, -1, 0, 2, -2, 0, -2, -1, -1, 0, 0, -1, 1, -1, 2, 0, -1, -1, -1, 0, 6, -2, 2, 2, 1, -1, 0, 2, 1, 1, 1, 0, -1, 1, -1, 3, -2, -1, 1, 1, 1, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 1, -1, 1, -2, -1, -1, -1, 1, -2, 2, 1, 1, -1, -1, 1, -1, 0, 0, -1, 0, 4, -2, 2, 2, 1, 1, -2, -2, -1, 2, -1, 0, -1, 0, 0, 2, 1, -1, 0, 1, 0, -1, -2, 4, -2, -2, -1, 0, 1, 0, 1, -2, 1, 0, 1, 0, 0, -1, -1, 2, -1, 0, -1, 1, 2, -2, 4, 2, 0, 0, -1, -2, -2, 2, 0, 0, 0, -1, 0, 1, 1, -1, -1, 1, 0, -1, 2, -2, 2, 6, -1, 2, 1, 0, -2, 1, 2, -1, -2, -1, 1, 2, -1, 0, 0, 1, -1, 1, 1, -1, 0, -1, 4, -1, -2, 1, 0, 1, -2, 2, 0, 0, 1, 1, 2, 0, 0, -1, 1, -2, 1, 0, 0, 2, -1, 4, 0, -1, 0, 0, 1, -2, -2, -1, 0, 1, -1, 1, 0, 0, 0, -1, -2, 1, -1, 1, -2, 0, 4, 1, 0, -2, 2, -1, 0, -1, 1, 0, -1, 0, 0, 0, -1, -1, -2, 0, -2, 0, 1, -1, 1, 6, 0, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 1, -2, -2, 0, 0, 0, 0, 4, -1, 0, -1, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, 2, -2, 2, 1, 1, 0, -2, 0, -1, 4, -1, 1, -1, 0, 0, 0, 1, 0, -1, 1, 0, -2, -1, 1, 0, 2, -2, 1, 2, 1, 0, -1, 4, -1, 0, -1, 1, 0, -1, 1, -1, 1, -1, 2, 0, 0, 0, -1, 2, -2, -1, 0, -1, 1, -1, 4, 1, 0, 1, -1, 1, 0, -1, 0, 0, 1, -1, 1, 0, -2, 0, -2, 0, -1, 0, -1, 0, 1, 4, 1, 0, -1, 0, -1, -1, 1, 0, 1, 0, 0, -1, -1, 0, -1, -1, 1, 0, 0, -1, 0, 1, 4, -1, -1, -1, 0, 1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, -1, 4, 0, 0, 1, 0, 1, 1, -1, 2, -1, 1, 2, 1, 1, 0, 0, -1, 0, 0, -1, -1, -1, 0, 4, 1, -1, 0, 0, 0, 1, 1, -1, 1, -1, 2, -1, -1, 0, -1, 1, -1, 1, 0, -1, 0, 1, 4, -1, 0, 0, 0, -1, -1, 2, -1, 0, 0, 1, 0, 1, 1, 0, 1, 0, -1, 0, 1, -1, -1, 4, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, 1, 0, 0, 0, -1, 4, 0, 1, 0, 1, 0, 1, 1, -1, 0, 0, -1, -1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 4, -1, -1, 0, -1, 0, -1, 1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 2, 1, 1, 1, 0, 2, -2, 2, 1, -1, -2, 2, 2, 0, 1, 1, 4, 0, -2, 0, 0, 2, -1, -1, 1, 2, 0, 1, -2, 2, -1, 1, 0, 1, 0, 0, -1, -1, 0, 4, -1, 0, 0, 1, -2, -2, -1, 0, -1, -2, 1, 1, 1, -1, 0, 0, 0, 0, -1, -1, -2, -1, 4, -1, 0, -2, 1, 1, -1, -2, 1, 0, 1, -2, 1, 0, 1, -2, -1, -1, 1, 1, 0, 0, -1, 4, -1, 2, 2, 0, 1, 0, -2, 1, 0, 2, 0, -2, 0, 2, 0, 2, 0, 1, 0, 0, 0, -1, 4, 0, 1, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 2, 2, 1, -2, 2, 0, 6, 2, -2, 2, 1, -1, 2, -2, 4, 1, -1, -2, 3, 2, 0, -1, 2, -1, -2, 1, 2, 1, 2, 6, 2, 2, -1, 0, 2, -1, 1, 2, -2, -1, 1, 1, 0, 0, 1, -1, -2, 1, 0, 1, -2, 2, 4, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, 1, 2, 2, 0, 4, 0, -1, 1, 0, 2, 0, 0, 0, 1, 0, 0, -1, 1, 2, 0, -2, 0, -1, 1, -1, 0, 0, 4, 0, 1, -2, 2, 0, 1, -1, 1, 1, -1, 1, 0, 0, -1, 1, -2, -1, -1, 0, 0, -1, 0, 4, 0, -1, -1, 0, 2, -1, -1, 1, -1, 1, 2, 1, -2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 4, -2, 1, 0, 0, -1, 1, 1, 0, 1, -2, -2, 1, 1, 0, 0, -2, -1, 0, 0, -2, -1, -2, 4, -1, 0, -1, 2, -1, -2, 1, -1, 2, 2, 1, -2, 2, -1, 4, 1, -1, 2, 2, -1, 1, -1, 6, 1, -1, -2, 2, 1, 0, 0, 1, -1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 4, -1, -1, 0, 1, -1, 1, -1, 1, -1, 0, -2, -1, -1, -2, -1, 0, 1, 2, 0, -1, -1, -1, 4, 0, -1, 0, -1, 1, -2, 0, 0, 1, 0, 0, -2, -1, 0, 0, -1, -1, -1, 2, -2, -1, 0, 4, -1, -2, 1, -1, 2, 1, 0, -2, 2, 0, 3, 1, 0, 1, 1, -1, 1, -1, 2, 0, -1, -1, 4, 1, 1, 0, 2, 0, 0, -1, 0, 0, 2, 1, 0, 0, 1, 1, 1, -2, 1, 1, 0, -2, 1, 4, 0, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, -1, -1, 1, 1, 0, 4, -1, 1, -1, -1, 1, 0, -1, -1, 0, 1, -1, 1, 1, 1, -1, 0, 1, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -1, 2, -1, -2, -1, 1, 2, 1, -1, 0, -2, -2, -1, 2, 2, 0, 2, 1, 4, -1, -2, 0, -2, 1, -2, -1, 0, 2, 2, 2, 0, -1, -2, -1, 0, -1, 2, 1, 2, -1, -1, 4, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, -1, -1, -1, 0, -1, -2, 1, 1, 1, -1, -2, 0, 4, 0, 1, -1, 0, 2, 0, -2, -2, 0, 0, 2, 2, 1, -1, 0, -2, -2, -2, 1, 0, 1, 0, 4, -2, 1, -1, 0, 1, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 1, -1, -2, 0, 1, -2, 4, 0, 2, 0, 0, -1, -1, -3, -1, 1, 0, 2, 0, 0, 0, -1, -2, 2, 1, 0, -1, 1, 0, 4, -1, -1, 1, 1, 3, 0, -1, 0, -1, 0, -1, 1, 2, 0, 2, -1, -2, 0, 0, -1, 2, -1, 4, 1, 0, -1, -1, -3, 0, 0, 1, 1, 0, 1, -1, 0, -1, -2, -1, 0, 2, 0, 0, -1, 1, 4, 0, -1, -1, 0, 1, 1, 3, 1, 0, 0, -2, -1, -1, -1, 0, 2, 0, 1, 0, 1, 0, 0, 4, -1, 1, 0, -1, 0, -1, 1, 0, -2, 0, 0, 0, 1, 2, 0, -2, 0, -1, 1, -1, -1, -1, 4, 2, 0, 1, -2, -1, -1, 0, -1, 1, 1, 3, 2, 2, 1, -2, 2, -1, 3, -1, -1, 1, 2, 6, 0, 0, -1, -3, -2, 0, -1, 2, 1, 3, 1, 2, 0, 0, 2, -3, 0, -3, 0, 0, 0, 0, 6, 0, 1, 0, -2, -1, -1, 1, 1, 0, -1, 0, -1, 0, 0, -1, -1, 0, 1, -1, 1, 0, 0, 4, 0, 2, 0, 1, -1, -3, 0, 0, 0, -1, -1, 2, 0, 1, 0, 0, 1, 0, -2, -1, 1, 0, 4, 1, 1, 0, 1, -1, -2, -3, -2, -2, -1, 2, 0, 0, -1, 1, 3, -1, -1, -3, 0, 2, 1, 6, 2, 0, 1, -3, -1, -1, -2, -1, 0, 1, -2, 2, 0, 1, 1, 1, -1, -2, -2, 0, 1, 2, 4, 0, 0, -1, -1, -1, -1, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 4, 0, -1, 0, -1, 2, -1, -2, 0, 0, 0, 1, 1, 0, -2, -1, -1, -1, -1, 1, 1, 0, 0, 6, 0, -1, 0, 2, 2, 1, -2, 0, 0, 2, -1, -2, 0, 1, 2, 1, -3, -1, -3, -1, -1, 0, 6, 2, 2, 0, 1, 1, -2, 0, -1, 0, 0, -1, 0, 1, 1, 1, 0, -2, -1, -1, 0, -1, 2, 4, 1, 2, 2, 1, -2, 1, -2, 2, -1, -1, 0, 3, 3, 0, 0, -3, -1, -1, -1, 0, 2, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, -1, 0, 0, -1, -1, 0, 2, 1, 1, 2, -2, 0, -2, -1, 1, 1, 4, 0, -2, 2, 0, 2, -1, 0, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 0, 4, -1, 1, 0, -1, 2, 0, 1, -1, 0, 1, -2, -2, 1, 0, 2, -1, 2, 2, 0, -1, -2, -1, 4, -2, 0, -1, -1, -1, -1, 0, 1, -1, 1, 0, 1, -1, -1, 1, -1, 0, -1, 1, 2, 1, -2, 4, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 4, 1, 1, -1, 0, -1, 1, -1, 2, 1, 2, 2, -1, 1, -2, -1, 0, 1, 2, -1, -1, 0, 1, 4, -1, -1, 0, 0, -1, 0, 1, 2, 0, 0, 0, 1, -1, -2, 0, -1, -1, 2, -1, 1, 1, -1, 4, 1, 0, 0, 1, 0, -2, -1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, -1, 1, -1, -1, 1, 4, -1, 0, 0, 1, -2, 0, -1, -1, 0, -1, 2, 0, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 4, -2, 1, 1, 0, -1, 0, 2, 0, -1, 0, 1, -1, -1, -1, -1, 0, 0, -1, 0, 0, 0, -2, 4, -1, 0, -1, 1, -1, -1, 1, 0, 1, -1, 1, -1, -1, 0, 1, 0, 1, -1, 1, 0, 1, -1, 4, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 1, 1, -1, 1, -1, 0, 0, 1, 1, 0, 0, 4, -2, -1, 0, 0, 1, -1, 0, 0, 0, 2, 1, -2, 1, 0, 2, 1, -2, -2, 0, -1, 1, -2, 6, 2, 1, 1, -2, 2, -4, -1, -1, 1, 1, -2, 0, 0, 1, 2, -1, 0, -1, 1, -1, -1, 2, 4, 0, 0, -1, 1, -1, -2, 0, 1, -1, 1, 1, 0, 2, 0, 0, -1, 0, -1, 0, 0, 1, 0, 4, 2, -1, 0, -1, 0, 0, 2, -1, 0, -1, -1, 2, 0, 1, -1, 2, -1, 0, 0, 1, 0, 2, 6, -2, -1, -1, 0, 1, -2, 1, 2, -1, 1, -1, 0, 1, 0, 0, 1, 0, 1, -2, -1, -1, -2, 4, 0, 2, 1, 0, 0, 1, -1, 1, 1, 1, 1, 0, -1, -1, 0, 0, -1, 2, 1, 0, -1, 0, 4, -2, -1, -1, -2, -1, 2, -1, 0, -2, -1, 2, 2, 0, 1, -1, 0, -4, -1, -1, -1, 2, -2, 6, 2, 1, -1, -1, 2, 0, 0, -1, -2, 1, 0, 1, -1, 1, 0, -1, -2, 0, 0, 1, -1, 2, 4, 0, 1, -1, 0, -1, 0, 0, 0, 1, 1, -1, 1, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 2, -1, -2, 2, -1, 0, -1, 0, 1, -2, 0, -1, 2, -1, 0, -2, 0, 1, 1, 6, 2, 2, 1, -3, -1, 0, -2, -2, -1, 1, 1, 0, -1, -1, 0, -2, -2, 0, 1, 2, -2, 2, 6, 0, -1, -1, 0, -2, -1, 0, -1, 2, -2, 1, 0, -1, -1, 1, 0, 1, 0, -1, 1, 2, 0, 4, 0, -1, 1, 0, -1, 0, 0, 0, -1, 0, 0, 1, -1, 0, -2, 0, 0, 1, 2, 1, -1, 0, 4, -2, -2, 2, -1, 0, -1, -1, 2, -2, 0, 0, 1, -1, 1, -2, 0, 1, -1, -3, -1, -1, -2, 4, 1, 0, 2, 1, 0, 0, -1, 1, 1, 0, 0, 1, 1, 1, -1, -2, -2, -1, 0, 1, -2, 1, 4, -2, 1, 0, 2, -1, -1, 1, 0, 1, -2, 1, -1, 1, 0, 0, 2, 0, -2, 0, 2, 0, -2, 4, -1, 0, -1, 0, 1, -1, 1, 0, 1, 0, 0, -1, -1, 0, -1, -2, -1, -1, -1, 2, 1, -1, 4, 1, 1, 0, 0, 1, -1, 1, -1, -1, 0, 1, 1, -1, 0, -2, 0, 0, 0, 1, 0, 0, 1, 4, 0, 1, 0, -1, -1, 0, 1, 0, 0, -1, 1, 0, -1, -1, -1, 0, -1, 0, 2, -1, 1, 0, 4, 0, 0, 1, -1, 2, -1, 0, -1, 1, 1, 0, 0, 1, 2, 0, -1, 0, -1, 0, 0, 1, 0, 4, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 1, 1, -2, -1, 2, -1, -1, 1, 0, 0, 0, 0, 4, -1, -1, 0, 1, -2, 0, -1, 1, 1, -2, 0, 1, 0, -2, 1, 1, -1, 1, -1, 1, 0, -1, 4, -1, 1, -2, 1, -1, 2, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, -1, -1, -1, 0, -1, -1, 4, 0, 0, 1, 1, 0, -2, -1, -1, -1, -1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 4, -1, 0, -1, 1, 0, 0, 2, 0, -1, -1, 1, 0, -2, 1, -1, 1, -1, 1, 1, -2, 0, -1, 4, -1, 1, -2, 0, 1, -1, -2, 1, 0, -1, 1, 1, 0, -1, 0, 0, -1, -2, 1, 1, 0, -1, 4, 1, 1, -1, -1, 0, -2, 0, -2, 1, 1, -1, 0, 0, 0, -1, -1, 0, -1, 1, -1, 1, 1, 4, -1, -1, -1, -2, 0, 1, 0, -2, 1, 1, -1, 1, -1, 1, 0, -1, 2, 0, 1, -2, 1, -1, 4, 1, -1, 0, 1, 0, 0, 0, -1, 0, -1, 1, 1, 1, 0, 1, 0, -2, 0, 0, -1, -1, 1, 4, 1, 1, 2, -1, 1, 1, -2, 0, 0, -1, 0, 0, -1, 1, -1, -1, 0, 1, -1, -1, -1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 2, 1, -1, 0, 1, 1, -2, 1, -1, 1, -2, -2, 1, -1, 0, 1, 0, 1, 1, 4, 0, -1, 1, -1, -2, 0, -1, -1, -1, 2, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 0, 4, 0, 0, -2, -1, 1, 0, -2, 0, 1, 0, -1, 2, 1, -2, 1, 1, -1, 0, -1, -2, -1, 0, 4, -2, 1, 2, 0, 0, -1, 0, -1, 1, 1, 2, 2, -1, 0, 1, 0, -1, 1, 2, 1, 0, -2, 4, 1, -1, 1, -1, 1, -2, 0, -1, 1, -2, -1, 0, -1, 0, 1, 0, 0, 1, -1, -2, 1, 1, 6, 3, -1, 1, 2, -1, -1, 1, 2, -3, 1, 1, 0, -1, 0, -1, 2, -1, -2, -1, 2, -1, 3, 6, 1, 2, 1, 1, -2, 2, 1, 0, 2, 2, 0, -2, 0, 1, 1, 0, 0, 1, 0, 1, -1, 1, 4, -1, -1, 0, 0, 0, 1, 1, 1, 0, -1, -1, 1, 0, -1, 1, -1, 0, 0, -1, 1, 2, -1, 4, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 1, 1, -1, -2, -1, 1, 2, 1, -1, 1, 4, 0, -1, 0, 0, -2, -1, 2, -1, -1, 1, 0, 0, -2, -1, 0, 0, -2, -1, 1, 0, 0, 0, 4, 0, 1, -2, 1, 0, 0, 1, -1, -1, 1, -1, 1, 2, 1, -1, 0, -1, -2, 0, 0, -1, 0, 4, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 1, 2, 0, 0, 0, 1, 1, 4, -1, 1, 3, 0, 1, -1, -1, 0, 0, 1, -1, -1, 1, 1, 2, 1, 1, 0, 0, -2, -1, -1, 4, -1, 0, 0, -1, 0, 1, 0, 1, -2, 1, 2, 2, -2, -3, 0, 1, 0, -2, 1, 1, 1, -1, 6, 2, -2, 0, 1, -1, 0, -1, -2, 1, 1, 2, -1, 1, 2, 1, -1, -1, 0, 1, 3, 0, 2, 6, 0, 1, -1, -1, -1, 0, 1, -1, -2, -1, 0, 1, 2, 0, 1, 2, 0, -1, 0, 0, -2, 0, 4, -1, -2, 1, 1, 1, -1, 1, 1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 1, -1, 0, 1, -1, 4, 1, -2, 0, -1, 0, 1, 1, 1, 0, -1, -2, -1, 0, -1, -1, 0, -1, 0, 1, -1, -2, 1, 4, -1, -1, 0, 1, -1, -1, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, 1, -1, -1, 1, -2, -1, 4, 1, 1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 1, 0, -1, 1, 4, 0, 1, -1, -1, 1, 0, 2, 1, -1, 1, 0, -1, 0, 0, 1, -1, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -2, -2, 2, -1, 2, -1, 1, -1, 0, 1, 2, -2, -1, 1, 1, 1, 1, -2, 1, 4, -1, 2, -1, 1, 0, -2, 2, -2, 2, 1, -1, 0, 2, -2, -1, 2, 2, 0, 1, 1, 2, -1, 4, -1, -1, -1, 1, 1, 1, 1, -1, -2, 0, 1, 1, -1, -1, -1, -1, 1, 0, -1, 1, 2, -1, 4, -2, -1, 0, 0, 1, -1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, -2, -1, -1, -2, 6, 3, -1, -2, -2, -1, -2, 0, -2, -1, 1, -1, -1, -2, 0, -1, -1, 2, -2, 1, -1, -1, 3, 6, -2, 0, -1, -2, 0, 0, -1, -2, 1, -1, 0, 0, 0, -2, -1, 3, 2, 0, 1, 0, -1, -2, 4, -2, 2, -1, 0, -1, -1, 2, 2, -2, 0, 0, 1, 2, 0, -3, -1, -2, 1, 0, -2, 0, -2, 6, -2, 2, 0, 0, 3, -1, -2, 2, 1, 0, -3, -1, -1, 1, 2, 2, 1, 1, -2, -1, 2, -2, 4, -1, 1, 0, -1, 1, 2, -2, 0, 1, 2, 1, 1, -2, -1, -2, 1, -1, -1, -2, -1, 2, -1, 4, -1, 0, 1, 0, -2, 2, 0, -1, -1, 0, 0, 0, 1, 2, -1, 2, -2, 0, 0, 0, 1, -1, 4, 1, 1, -1, 0, -1, 1, 1, 1, -1, 1, 0, -1, 1, -2, 2, 0, 0, -1, 0, 0, 0, 1, 4, 1, 0, -1, 0, 0, 1, 1, 0, -1, 2, 0, -1, 0, 1, -2, -1, -1, 3, -1, 1, 1, 1, 4, -1, -2, 1, 1, 1, -1, -1, -1, 0, 1, 0, 1, 0, -1, -2, 2, -1, 1, 0, -1, 0, -1, 4, 1, 0, 0, 0, 0, 2, 0, -1, 2, 2, 1, 0, 1, 1, 2, -2, 2, -2, 0, -1, -2, 1, 6, -3, -2, 0, 2, 1, 1, 0, -2, -2, -1, 0, -1, -1, -2, 2, -2, 2, -1, 0, 1, 0, -3, 6, 1, -1, -1, 0, 1, 1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 0, 1, 0, 1, 0, -2, 1, 4, 0, -1, -1, 0, -1, 1, 2, -1, 2, -2, 0, 0, 0, 1, -1, 1, 1, 1, 0, 0, -1, 0, 4, 1, 0, 0, 0, 1, 2, -1, 1, 0, 0, 1, -3, 2, -1, 1, 1, -1, 0, 2, -1, -1, 1, 4, 0, 1, 0, 1, 0, 1, 0, -1, -2, 2, -1, 1, 0, -1, 0, -1, 2, 1, 0, -1, 0, 0, 4, 1, -1, 1, 1, 0, 0, -1, -1, 0, -1, 1, 0, 1, -1, -1, 0, 1, 1, 0, 0, 1, 1, 4, -1, -2, 1, -1, 1, 2, 3, -3, 1, -2, 0, 0, 2, 0, -1, 0, 1, -1, 0, 0, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, 2, -2, 0, -2, -1, -1, 2, 1, 1, -2, -1, 0, 0, -2, 1, -2, 1, 1, -1, 4, -2, -1, -1, 1, 0, -1, 1, -1, 1, 1, 0, 1, 2, 0, 0, 0, -2, 1, -2, 0, 2, -2, 4, 2, 1, -2, -1, -1, 0, 0, 1, 1, 0, -1, -1, 0, 1, -2, 2, -1, 1, 0, 1, -1, 2, 4, 0, -2, 1, 1, 0, -1, 1, 0, -1, 0, -1, 1, -1, -2, 2, 0, 1, 0, 2, -1, 1, 0, 4, 0, 0, -1, -1, -1, 1, 0, 0, -2, 0, 1, 0, -2, 0, -2, 0, 1, -2, 1, -2, -2, 0, 4, 0, 0, 1, 1, -2, 0, -1, 1, 2, 1, 1, 2, -1, 1, -2, -1, 0, 0, -1, 1, 0, 0, 4, 2, 1, -1, 0, 0, -1, 0, 0, 1, 0, -1, 1, 0, 0, -1, -2, -1, -1, 1, -1, 0, 2, 6, 0, 1, -1, -2, -2, 1, -1, 1, 0, -1, 1, 1, 1, -1, -1, 1, 0, 0, -1, 1, 1, 0, 4, -1, 0, 1, -1, 1, 1, 0, 2, -1, 1, 1, -1, -2, -1, -1, 0, -1, -1, 1, -1, 1, -1, 4, -1, -1, 0, 0, -1, -1, 0, 2, 0, 0, 1, -1, 2, 1, 1, 1, 1, -2, 0, -1, 0, -1, 4, 1, 0, -1, -1, -1, -1, -2, 0, -1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -2, 1, -1, 1, 4, 1, 1, 1, -1, 1, -1, 0, 1, -1, 1, 1, 0, 0, -1, 0, -1, -1, -2, -1, 0, 0, 1, 4, -1, 0, -2, 0, 1, 0, -1, 0, 1, -2, 1, -1, 0, -2, 1, 0, 1, 1, 0, -1, 1, -1, 4, 0, 0, 0, 1, -1, 2, -1, 0, -1, 2, -1, -1, 0, 2, 0, -1, 1, -1, -1, 1, 0, 0, 4, 1, 1, 0, -1, 1, -2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, -1, -1, -1, -2, 0, 1, 4, 1, -1, 0, 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 2, 0, -1, 1, 0, 0, 1, 1, 4, -1, 1, 0, -1, -1, -2, 0, -2, -2, -2, 2, -1, -1, -1, 2, -2, -1, 1, 1, 0, -1, -1, 6, -1, 1, 0, 0, 1, -2, 2, 2, 0, -1, 1, 1, 1, 0, 0, 0, 0, -1, -1, 0, 1, -1, 4, -1, 1, -1, -2, 1, -1, 0, -2, 1, 0, 1, 1, 0, -1, 1, -1, 2, 1, 0, 0, 1, -1, 4, 0, 0, 1, -2, 1, 1, 0, -2, 0, 1, -1, 1, 1, -1, 0, -1, -2, -1, -1, 0, 1, 0, 4, 0, 1, 0, 0, 0, 1, -1, -1, -1, -2, -1, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, -1, 0, 0, -1, 0, 0, -2, 1, -1, 1, -1, 0, 2, 1, -1, -1, -1, 2, 1, 4, 0, 0, -2, 1, 0, 1, 0, 1, -2, 1, -2, -1, 0, -1, -1, 0, 0, 0, 0, 1, 2, 0, 4, -2, 0, -1, 1, 0, -1, 0, -1, -1, 0, 0, -1, -1, 1, 1, -1, -1, -1, 2, -2, 0, -2, 4, 0, 1, 1, 1, 1, 1, 0, -1, -1, 0, 1, -1, -2, -1, 0, 1, 1, -1, -1, -2, 0, 0, 4, 0, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, -1, 0, 1, -1, 1, 0, 4, 1, -1, 1, 0, -1, 1, -2, 1, -1, -1, 0, -1, -1, 1, -1, -1, 0, 0, 1, 1, 0, 1, 4, -1, 0, -1, -1, -2, 0, 1, 1, 0, 0, 1, -2, -1, 0, 0, -1, 1, 0, 1, 0, -1, -1, 4, -1, 2, 1, 0, -1, -2, 0, -2, -1, -1, 0, 1, 0, 0, 0, 0, -1, 1, 1, 1, 0, -1, 4, -1, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 2, -1, 4, 0, 0, -1, -1, -1, -2, -1, -1, 1, 1, 0, 0, -2, -2, -1, 0, 1, -1, -1, 1, -1, 0, 4, 0, 1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 1, 1, -1, -1, 0, 1, -2, 0, 1, 0, 0, 4, -1, -1, -1, 0, 1, -1, 0, 1, 0, 0, -1, -2, 0, -1, 1, -2, 0, -1, 0, -1, 1, -1, 4, 0, 1, 2, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, 0, 1, 1, -2, 0, -1, -1, -1, 0, 4, 0, 1, 1, 0, -1, 0, 0, -1, -1, 0, -1, 1, -1, -1, 1, 0, 0, -1, 1, -1, 1, 0, 4, 1, -1, 0, 0, -1, 1, 0, 0, -1, -1, -1, 0, -1, 0, -2, 0, -2, 0, 0, 2, 1, 1, 4, 1, 1, 0, -1, 1, 0, 2, -1, 1, -2, 1, 0, 0, -1, 1, -1, 0, 1, 0, 1, -1, 1, 4, 0, -1, 0, -1, 1, 1, 0, 1, -1, 0, -1, 1, -1, -1, -1, 0, -1, 1, 0, 0, 1, 0, 4, 0, -2, 1, 1, -1, 0, -1, 0, -1, -1, -2, 0, 0, 1, 1, 0, 1, -1, 0, 0, -1, 0, 4, 0, 0, 0, -1, 0, -1, 1, 0, 1, -1, 1, 1, 1, 0, 1, -1, 0, -1, -1, 0, -2, 0, 4, 0, -1, -1, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, 0, 4, -1, 2, 1, 2, -1, -1, -1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, -1, -1, -1, 1, 1, 2, 1, 0, 1, -2, -1, -2, -1, -1, 0, 1, 0, 1, 4, -1, 0, 0, 0, 0, -2, 0, 0, -1, 2, 1, 0, 0, -1, 0, 0, -2, -1, 0, -1, -1, -1, 4, -1, 1, 2, -1, 0, 1, 1, 1, 0, -2, 1, 1, 1, 1, -1, 0, -1, 1, -1, -1, 0, -1, 4, -2, 1, 0, 1, -1, -1, -2, 0, 1, -1, -1, 1, 1, 2, 0, 1, -2, -1, 1, 0, 1, -2, 4, -1, 1, -2, 0, 0, 2, 0, 0, 1, -1, 0, -1, -2, -1, 0, 0, 0, -1, 0, 2, 1, -1, 4, -2, 1, 1, 0, 0, 1, -1, 0, 1, 0, 2, 0, -1, 0, 1, -1, -1, 0, -1, 0, 1, -2, 4, 0, -1, 0, -1, -1, 2, -1, 0, 1, -1, 1, 1, 1, -1, 0, -1, -2, 0, 1, -2, 1, 0, 4, 1, 0, 0, -1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, -1, 0, 1, -1, 1, 4, 0, 1, 0, -1, 2, 0, 0, 1, -1, -1, -1, 2, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, 4, 0, 0, -1, 1, 0, 0, -2, 1, 1, -1, 2, 0, 2, -1, 1, -2, 2, 0, -1, 0, 1, 0, 6, -1, 0, 1, -1, -2, -1, -3, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, -1, -1, 0, 0, -1, 4, -1, -1, 0, 0, 0, 0, -2, -1, -1, -1, 0, 1, -2, 1, 0, -1, 2, 0, -1, -1, 0, -1, 4, -1, 0, -1, 0, 1, 0, 2, 0, 1, 1, 0, 1, -1, 1, 0, -1, 0, 2, 1, 1, -1, -1, 4, -1, 0, 0, -1, -1, -1, 2, 0, -2, 0, 1, -1, -1, 1, 0, 1, 0, 0, -1, 0, 0, -1, 4, -1, 1, 0, 1, 0, 0, 1, -1, -1, 1, 1, 0, 0, 1, 0, 0, 0, -2, 0, -1, 0, -1, 4, 1, 1, 0, 0, -1, -1, -2, 0, 1, 1, -1, 2, -1, 1, 1, -2, -1, 0, 0, 0, 1, 1, 4, 0, -1, 0, 0, 0, -1, 0, -1, 2, -2, 0, 1, 1, -1, 1, -3, 0, 1, -1, 0, 1, 0, 4, 1, 1, 0, 0, -1, -2, 0, 0, -1, -1, 1, 1, -1, 1, 0, -2, 0, -1, 1, 0, -1, 1, 4, 0, 0, 1, 0, -1, -1, 1, 0, 0, 1, 1, -1, -1, 0, -1, 2, -1, 0, 0, 0, 1, 0, 4, 0, 1, 1, 0, 1, -2, 0, 1, -1, 0, 2, 2, 2, -1, 0, 2, 0, -1, 0, 0, 0, 0, 6, 0, 0, -1, -1, -1, 0, -1, 0, 1, -1, 0, 1, -1, 1, 0, 1, -1, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 2, 1, -1, 0, -1, 0, -2, 0, -1, 0, 2, 0, 1, 1, 0, 0, 0, 1, -2, 4, -2, -1, 0, -1, 1, 1, -1, 1, 2, -1, 1, 1, 0, -1, -2, -1, 0, -1, 1, 0, 2, -2, 4, 0, 1, 1, -1, -1, 0, 0, -2, -1, -2, -1, 0, 1, 0, 1, -1, 1, -1, 1, 1, -1, 0, 4, 1, 1, 1, -1, 1, 1, -1, 1, -1, 0, 2, -1, 1, 2, 1, 0, -1, 0, 2, 0, 1, 1, 6, 2, 0, 2, 0, 1, -1, 0, 0, 2, 2, 1, -2, 0, 2, 0, 1, 2, 1, -1, 1, 1, 2, 4, 1, 1, 1, -1, -1, -1, 0, 0, 0, 1, -1, 0, 2, -1, -1, 2, -1, 1, -1, 1, 0, 1, 4, -1, 1, 1, 1, -1, 1, 1, 0, 0, -1, 1, 2, -1, 0, 0, 0, 1, -1, -1, 2, 1, -1, 4, -1, -1, 1, 0, 1, 1, 0, 0, -1, -2, 1, 0, 1, 1, -1, -1, 0, 1, 0, 1, 1, -1, 4, 1, 0, 1, 0, 0, -1, 1, 0, 1, 1, 1, -1, 0, 0, 1, 0, 1, 1, -1, 1, -1, 1, 4, 0, 1, 0, 0, 1, -1, 0, 2, 0, 1, 0, -1, -2, 2, -2, -1, -1, -1, 1, 1, 0, 0, 4, -1, 1, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, -1, -1, 1, 0, -1, -1, 0, 1, 1, -1, 4, 0, 0, 1, -1, 2, 1, 0, 2, 1, -2, -1, 1, -2, -1, 0, 0, 1, 1, 0, 0, 1, 0, 4, 0, 0, -1, -1, 0, 1, -1, 1, -1, 0, 1, -1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 4, 0, 1, -1, -1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, -1, 1, -1, 1, 0, 0, 4, -2, 0, 1, 1, 0, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, 1, -1, 0, -1, -1, 1, -2, 4, 0, -1, 0, 0, 0, 2, 1, -2, 0, 1, -2, -1, -1, -1, 0, 0, -1, 2, -1, -1, 0, 0, 4, 1, -1, 1, 0, -1, 1, -1, 1, 2, 0, 0, 1, -2, 1, 2, -1, 1, 0, -1, 1, -1, 1, 4, 0, 1, 0, -1, 0, 0, -1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, -1, 0, 4, -1, 0, 1, 0, -1, 1, 0, 0, -1, -1, 0, 1, 1, -1, 2, -1, 0, 0, 0, 1, 1, -1, 4, 1, -1, 0, 1, -1, -1, 1, -1, 0, 1, -1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 4, -1, 1, 0, 1, 0, 2, 2, 0, 1, 0, -1, 0, -2, -1, 1, 0, 2, -1, -1, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 1, 2, 1, -2, 1, 0, -2, 0, -1, 2, 2, 4, 1, -1, 0, -1, 1, 1, 0, -1, -1, 1, 1, 2, 0, -1, 1, 0, -2, 0, -1, 2, 0, 1, 4, -2, 0, 0, 0, -1, -1, 0, -1, -1, 1, 1, -1, 0, 2, 1, 0, 1, 0, 2, 0, -1, -2, 4, 1, 1, 1, 0, 0, 1, 2, 0, 0, -2, 1, -1, -2, 1, -1, 1, -1, -2, -1, 0, 0, 1, 4, 1, -1, 0, 1, 0, -1, 1, 1, 0, 1, 0, 0, 0, 0, 1, -1, -2, 0, -1, 0, 1, 1, 4, 1, -2, 1, -1, -1, 0, -1, 1, 0, 0, -1, -1, 0, 2, 0, 0, 1, 1, 0, 1, -1, 1, 4, 0, -1, 0, 1, 1, 0, 1, 0, -1, -1, 0, -1, 1, 0, 2, 0, 1, -1, 0, 0, -2, 0, 4, 1, 0, 1, 0, 1, -1, 1, 1, -1, -1, 0, 0, 0, -1, -1, 0, -1, 0, 1, 1, -1, 1, 4, -2, -2, 0, 0, -1, 1, 2, -1, -1, 1, 0, 1, -2, 0, -1, 0, 1, 0, -1, 0, 0, -2, 4, 3, -1, 1, 0, 1, -1, 1, 1, 0, 0, -1, 0, 1, -1, -1, 2, -1, -1, 1, 1, -2, 3, 6, -2, 1, 0, 2, -1, 0, 1, 0, 0, 0, -1, 0, 1, -1, 0, 1, 0, 1, 0, 0, -1, -2, 4, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, 1, 1, 0, 4, 0, 1, 0, 1, 0, -1, 0, 0, 0, 2, 2, 1, -2, 0, 1, 1, -1, -1, 0, 0, 0, 0, 6, 0, -1, 2, -1, -1, 0, 0, 3, 1, 0, -1, 1, 1, 0, 0, 1, 1, 1, 2, -1, 1, 0, 4, -1, 0, 0, 1, 0, -1, -1, -2, -1, 0, -1, 0, 0, -1, 1, 2, -1, -1, 0, 0, -1, -1, 4, 0, -1, 1, 0, 2, -1, 1, 1, 2, -2, 0, -1, -1, -1, -1, 1, 0, -1, 1, 2, 0, 0, 4, 1, 0, -1, 0, 2, 0, 0, 1, 1, 0, -1, 0, -1, -1, 1, 1, -1, 0, -1, 0, -1, 1, 4, 0, 0, 0, 0, -2, -2, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, -1, -1, 1, 1, 0, 0, 4, -1, 1, -1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 4, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 2, 0, 0, 1, 0, 4, -1, 2, 2, 2, -2, -2, 0, 2, -1, -2, 0, -1, 0, 0, 3, -1, -1, 2, 0, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 0, 0, -1, -1, -1, 1, 1, 0, -2, 2, 1, 1, -1, 2, 1, -2, 1, -1, -1, 4, 1, -1, 0, 0, 1, -1, -1, -2, -1, -1, 0, -1, 1, -1, 2, 0, -2, -1, 0, 1, 0, 1, 4, 1, 0, 1, -1, -1, 1, 0, -1, 0, -1, 0, 2, -2, 2, 0, 0, -1, 1, -1, 2, -1, 1, 4, 0, 1, 0, -1, -1, 2, 1, 0, -2, 0, 0, 1, -1, 1, 2, -2, 0, -1, 0, 0, 0, 0, 4, 2, -1, 1, 0, -2, 1, -2, 0, 2, 1, 2, -1, 2, -1, -2, -1, 1, 0, 0, 1, 1, 2, 4, -1, 0, 0, -1, 0, -1, -1, 2, 1, 2, -1, 2, 0, -2, 0, -1, -1, 1, -1, 0, -1, -1, 4, 1, -2, 1, 0, 0, 1, -1, -1, 1, 0, -1, 0, 1, -1, 1, -1, -1, -1, -1, 1, 0, 1, 4, 1, 1, 1, -1, 1, 0, 0, 2, -1, 0, 0, 0, -1, 0, -1, -1, 1, -1, 0, 0, -2, 1, 4, 0, -1, 0, 1, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, -2, 0, 2, -2, -1, 1, 1, 0, 6, 2, 0, 0, 0, -1, 0, -1, -1, 1, 0, 0, -1, 1, -1, -1, 1, 1, 0, 0, 1, -1, 2, 4, -1, 0, 1, 0, 1, -1, 1, 0, -1, -1, 1, 0, -1, 0, 0, -2, -1, 0, -1, 0, 0, -1, 4, -1, -2, -1, -1, 0, -1, 1, 1, 0, -1, -2, 0, -1, -2, 0, -1, 1, 1, 1, 0, 0, -1, 4, 0, 0, -1, 1, -1, -1, 3, 0, 2, 2, -1, 0, 0, 2, 2, -1, 0, 0, 0, 1, -2, 0, 6, 1, 2, -1, 2, -1, -1, 1, 0, 1, 1, 2, 0, 1, 1, -1, 0, 1, -1, 0, -1, 0, 1, 4, -1, 1, 1, 0, -1, 0, 0, 1, -1, -2, 1, 2, 2, 1, 2, -1, 0, 1, -1, -1, 2, -1, 6, -2, 2, 0, -2, -1, 0, -1, 2, 2, -1, -1, -1, 0, -1, 1, -1, -1, 0, 1, -1, 1, -2, 4, -1, -1, 1, 1, 1, 2, 0, 0, 1, 2, 2, -1, 0, -1, -1, 1, -1, -1, 2, 1, 2, -1, 4, 0, -2, 1, 0, 1, -2, 0, 2, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, -1, 0, 4, 0, 0, -1, -2, -1, -1, -2, -2, -2, 1, 0, 1, 0, -1, 1, 3, -1, -1, -2, 1, -2, 0, 6, 1, 1, 1, 0, 1, 0, -1, 0, -1, -1, 0, 0, -1, 0, 0, 1, 0, -1, 1, 1, 0, 1, 4, -1, -1, 1, -1, -1, 1, -1, 1, 0, -1, -1, 1, -1, 2, 0, 0, 0, 1, 0, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, 1, -1, 0, 1, 1, 0, -1, -1, 1, 0, 2, -1, -2, -1, 0, 0, -2, 4, -2, 2, 1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 2, 0, 2, 1, 1, 2, -2, 4, -2, -1, 0, 0, -1, -1, 1, 0, -1, 1, -1, -1, 1, 1, -2, -2, 0, -1, 1, -2, 2, -2, 4, 1, 0, -1, 0, 1, 0, -1, 0, 1, 1, 1, 1, -2, 1, 1, 1, 0, 0, 0, 1, -1, 1, 4, -1, 1, 1, -1, 0, -1, 1, -1, 2, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, 0, 0, -1, 4, 0, 1, 2, 0, -1, 0, -1, 0, 1, 0, -1, 0, -1, -1, 1, -1, 1, -1, 0, -1, 1, 0, 4, -1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, -2, -1, 0, -1, 0, -1, 0, 1, 1, -1, 4, 0, 0, -1, 1, -1, 1, 0, -2, -2, 0, 0, 0, 1, -1, 0, 0, -1, 1, -1, 2, 0, 0, 4, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 4, 0, 1, 0, 1, 0, 1, 0, -1, -1, 1, -1, -1, 1, 0, 0, -1, -1, -1, 0, -1, -1, 0, 4, 0, 0, -2, 1, -1, 2, 0, 1, 0, 1, 0, 0, -1, -1, 0, 1, 0, 1, 1, 0, 1, 0, 4, -1, 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 4, -1, 0, 1, 0, -1, 2, 1, -1, 1, -1, 1, -1, 1, 2, 0, 1, 1, 0, 1, -2, 1, -1, 4, -1, 1, -1, 1, -1, 0, 0, 0, 1, 0, -1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, -1, 4, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, -2, 0, 1, -1, 0, 1, 1, -1, 4, 1, 0, -1, 0, -1, 1, 2, -1, 1, -2, 0, -1, 2, -2, -1, 0, 2, 0, 0, -1, 0, 1, 4, 0, 0, -1, 0, 1, -1, 2, -2, 1, 1, 0, 1, 0, 0, -1, 0, -1, -1, 1, 0, 0, 0, 4, 1, 0, 1, 0, -2, 0, -2, 1, -1, -1, 1, 0, 0, -1, 1, 0, 2, -1, 1, -1, 0, 1, 6, -1, -1, -1, -1, 2, 0, 1, 0, -1, -2, 0, 0, 1, 0, -1, 1, 0, 0, 0, -1, 0, -1, 4, 1, 1, 0, 1, -1, 0, 0, 1, -1, 1, 1, -1, 1, 0, -1, 0, 0, -1, 0, 1, -1, 1, 4, 0, 0, 1, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 0, 1, 1, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, 1, 0, -2, -1, 0, -2, 0, 2, -2, 0, -1, 2, -2, -2, 1, 0, -1, 0, -2, 6, 2, -1, -3, 1, 1, -2, 1, 0, -1, -1, -1, -2, -1, 0, -1, 3, -1, 0, 1, -2, 0, 2, 4, 0, -1, -1, 0, 0, 2, 0, -1, 0, 0, -2, -2, 1, -2, 2, -1, 1, 0, -2, -1, -1, 0, 4, 2, -1, 1, 1, -1, 1, 0, -1, 2, 1, 1, -1, 0, 0, -1, -1, 0, 0, 1, -3, -1, 2, 6, -2, 1, 1, -2, 0, -1, -1, -1, 1, 2, 0, -1, 0, -1, 0, -2, 1, 0, 1, -1, -1, -2, 4, -1, -1, -1, 0, 0, 1, -1, 0, -1, 1, 0, -1, 0, -1, 0, 0, -2, 1, 0, 1, 1, -1, 4, 1, -1, 2, -1, -2, 1, 1, 1, -1, 0, 2, -2, 1, 0, 0, -1, -2, 0, 1, 1, -1, 1, 4, -1, 2, 1, -1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, -1, -2, -1, -1, -1, 4, -1, 0, 1, 1, -1, -2, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 1, 0, 0, 2, 2, -1, 4, 1, -2, 2, 0, 1, -1, 2, 2, 0, 1, 1, -1, 0, -1, -1, 0, -1, 0, -1, 1, 0, 1, 4, 1, 2, 1, 1, -1, 3, -1, 2, -1, 0, 0, 2, -1, 0, -1, -1, 1, -2, -1, 1, -2, 1, 4, -1, 0, -2, 1, -1, -3, 1, -1, -1, 1, -2, -1, 0, 2, -1, -1, 1, 2, 1, 2, 2, -1, 6, 2, 1, -1, 3, 1, 0, 0, 1, 0, 0, -2, -2, 1, 1, 0, 1, 1, -1, 0, 1, 0, 2, 4, 1, -1, 1, -1, 0, -1, -1, 1, -1, -1, -2, 1, 2, -1, 1, 1, -2, 1, 1, -2, 1, 1, 4, -1, 2, 1, 0, 0, 0, 1, 2, 0, 1, -1, 0, 1, -1, 0, 0, -1, -1, 1, -1, -1, -1, 4, -2, 0, 0, 1, 0, 0, -2, -1, -2, 0, -1, 0, 0, 2, 0, 2, 3, -1, 3, 1, 2, -2, 6, 0, 1, 0, 1, 1, -2, 3, 2, 0, 0, -1, 2, 1, 0, 2, -1, -3, 1, -1, 1, 0, 0, 6, -1, 2, 1, -2, 1, -1, -1, -1, -1, 0, -2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, -1, 4, -1, 1, 0, 0, 0, 1, -1, 0, -1, 1, 1, 1, 1, -1, -1, 0, -1, 0, 1, 0, 2, -1, 4, 1, 0, -1, 1, 0, 0, -2, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 0, 1, 1, 1, 1, 4, -1, 0, -2, -2, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 1, 0, 1, -2, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 1, 2, -2, 1, 1, 1, -1, 1, -1, 1, -2, -1, -1, -1, -1, 2, 1, -1, 1, 0, 4, -1, -1, -1, 1, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 1, 1, -1, -1, -1, 1, 0, -1, 4, 2, -1, 1, 0, -1, 0, 1, 1, 0, -1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, -1, 2, 4, 0, 0, 0, -1, -1, 0, 1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, -1, -1, 0, 4, -2, 0, 1, 0, -1, -1, 0, 2, -1, -1, 0, -1, -2, 1, 2, -1, 0, -2, 1, 1, 0, -2, 4, -1, 0, -1, 0, 1, -1, -1, 2, 0, 0, 1, 0, -1, 0, 1, 1, 1, 1, 0, 0, 0, -1, 4, 0, 2, 0, 1, -1, -1, -2, 2, 1, -1, 1, 0, -1, -2, 1, 1, 0, -1, -1, 1, 0, 0, 4, 1, -2, 0, 1, 1, -1, -2, -2, -2, 0, 2, 0, -1, 0, 1, 0, 0, -1, 0, -1, 2, 1, 4, -1, 1, 0, -1, -1, 0, -1, -2, 0, 0, 0, -1, 1, -1, 0, 1, 0, -1, 0, 0, -2, -1, 4, -1, 1, -1, 1, 3, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, -1, 1, 1, 0, 1, -1, 4, -2, 0, -1, 0, 0, 0, 0, 0, 0, -1, 2, -1, -1, 0, -1, 0, -1, -1, 1, 0, 1, -2, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, -1, -1, 2, -1, -1, 1, -1, -1, 0, 0, 4, -1, -1, 0, 0, -1, 1, 1, 0, 0, -2, 0, 0, 0, -1, 2, -2, -1, -1, 1, -1, 0, -1, 4, 0, 0, 0, 0, -1, 0, 2, -1, -1, 1, 1, -1, -1, 0, 2, -2, 0, 3, 0, 0, -1, 0, 6, 3, 1, 0, -1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 1, -2, -1, 2, 0, 0, 0, 0, 3, 4, 2, 0, -1, 0, 0, 1, -1, 1, 1, 0, -1, 1, -1, -2, -2, 1, 0, 0, 0, 0, 1, 2, 4, 0, -1, 0, 1, 1, -1, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 4, 0, -2, 0, -1, 2, -1, 0, 0, 1, -1, 0, 2, 0, 0, 0, 1, 1, -1, -1, -1, -1, 0, 4, 0, 0, 0, 1, -1, 0, 0, 2, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -2, 0, 4, 1, 1, -1, -1, 1, 0, -1, 1, -2, -1, -1, 1, -1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 4, -1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, -1, 0, -1, 1, 1, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, 2, -2, 0, 1, 1, 0, 1, 1, 2, -2, -1, 0, -1, 0, 0, 0, -1, 0, -1, 4, -1, 0, 0, 2, -1, 1, 1, 1, -1, -1, -2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 0, -1, 4, -1, 0, -1, 2, 1, -1, -2, 1, 1, -1, 0, 1, 2, -1, 2, -1, -2, -1, 0, -1, 0, -1, 4, -1, 1, 0, -2, -1, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, -1, 2, 0, 0, -1, 4, -2, -1, 0, 0, 0, 1, 0, 2, -2, -1, -1, -2, 0, 1, 0, 1, 0, -2, 2, -1, 1, -2, 4, -1, 0, 0, 0, -1, -1, -2, 0, 1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 2, 0, -1, -1, 4, 0, 0, -1, 1, 0, -1, 0, 1, 1, 1, 2, -1, -2, -1, -1, 1, 1, 1, -2, 0, 0, 0, 4, 0, 0, -1, 0, -1, -1, -1, 0, -1, -1, -1, 1, -1, 2, 1, 1, -1, -1, 0, 0, 0, 0, 4, 0, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, 1, -2, 0, 0, 0, -1, 0, 0, 4, -1, -1, 1, -1, 0, 0, 0, -2, -1, 2, 1, 0, 1, -1, 1, 0, 1, -1, 1, -1, -1, -1, 4, 2, -1, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, -1, 1, 0, 0, -1, 0, 0, -1, -1, 2, 4, -1, 0, -1, 1, 0, 0, -1, -1, -1, 1, 2, -2, -1, 0, 2, -2, -1, -1, 1, 1, -1, -1, 6, -1, 1, 0, 0, -1, 2, 1, 1, -1, -2, -1, 0, -1, -2, 0, 0, -1, 1, -1, -1, 0, -1, 6, -1, 1, 1, 1, 0, -1, 1, 0, -1, -1, 1, 1, -1, 1, 1, -1, -1, 0, 0, -1, 1, -1, 4, 0, 0, 0, 1, 0, -1, -1, 0, -1, 2, 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 4, 1, 1, -2, -1, 0, 0, -1, -1, -1, 2, -2, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 4, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, -1, 2, -1, 0, -2, 1, 0, -1, 1, 0, 1, 0, 4, 0, -2, 0, -1, 0, -1, -1, 0, 1, 0, -1, -1, 0, -1, 0, -1, 2, 0, 1, -2, 0, 0, 4, 0, 0, 0, 0, 1, -2, 0, 0, 1, -2, 1, 0, 2, -1, -1, 1, -1, 0, -1, 0, -2, 0, 4, 1, 1, -1, 1, -1, 0, 1, 0, -1, -1, 1, 1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 1, 4, -1, 0, 1, 0, -1, 0, 0, -1, 2, -1, 0, 0, 1, -1, 0, -1, 0, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -2, 1, -2, 0, -1, -1, -1, 1, 1, -1, 2, -2, 1, -2, -2, 2, -2, 4, -2, 2, 1, 0, 1, -1, 0, 0, 1, 2, 0, -1, -2, 0, -1, 0, -1, 2, 2, 0, 2, -2, 4, -2, -1, -1, -1, 0, 0, 1, -1, -2, 0, 1, 2, 0, 1, -1, 0, -1, -2, 2, -2, 2, -2, 4, 1, 1, 2, -1, 0, -1, 1, 1, 0, -1, -1, 1, -2, 2, -1, 0, 1, 0, 0, 1, -1, 1, 4, 2, 0, -1, 0, -1, -1, 2, -2, 1, -1, 1, 0, 0, -1, 0, 0, -1, 1, 0, -1, 1, 2, 4, -1, 1, -2, -1, -1, 1, -1, 1, -1, 0, 1, 1, 1, -2, -1, -1, -2, 1, -1, 2, 0, -1, 4, -2, 1, -1, 0, 0, 1, 0, -1, 1, -1, 2, -2, 0, 2, -1, 1, -1, 0, -1, -1, 1, -2, 4, -2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 0, 1, -2, 0, 0, 0, 0, -2, 1, -2, 6, -1, 0, 0, 1, 1, 2, 2, -2, -1, -1, 3, -1, -2, 0, 0, 1, -1, -1, -1, -1, 0, -1, 4, 0, -1, 0, 0, 0, -1, 1, -1, 0, 1, 1, 0, -1, 1, -1, 1, -1, -1, 0, 1, 0, 0, 4, 0, 1, -2, 0, 1, -2, 1, 0, 0, 0, 1, -1, 2, -2, 1, 2, 1, 0, 0, 0, -1, 0, 4, -1, 0, -2, 0, 0, -1, 0, 2, 1, -1, -1, 0, 0, 0, -2, -1, 1, 1, 1, 0, 1, -1, 4, 0, 0, 1, -1, 0, -1, 0, 1, 0, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0, -2, 0, 0, 4, 0, 1, 1, -1, -1, 0, 0, -1, 1, -2, 2, -1, -1, -1, -1, 0, 2, 0, 0, -2, 0, 0, 4, 0, -1, -1, 1, 0, -3, 1, -1, 0, 0, 1, 1, 0, 1, 0, 2, -1, 1, 0, 1, 1, 0, 4, -1, 1, -2, 0, 0, 0, 2, -1, 1, -2, 0, 1, -1, 0, -2, 1, -2, 0, -1, 1, -1, -1, 4, -1, 1, -1, 0, 0, -2, 0, -1, 2, 0, 1, 2, 0, -1, -1, 1, -1, 0, -1, -1, 1, -1, 6, 0, -2, 1, -1, 1, -1, 0, -1, -1, 1, -2, 1, -1, 0, 0, 0, -1, -1, 1, -2, 1, 0, 4, -1, -2, 0, -2, 2, -1, 0, 0, -2, 0, -1, 3, 1, 0, 2, 0, 0, 0, 0, -1, -2, -1, 6, 2, -1, -2, 2, -2, 1, 0, -1, 2, 0, -1, 1, 0, 1, 1, 0, -3, 0, 0, 1, -2, 2, 6, -1, 2, 0, 2, 0, -1, -1, -1, 1, -2, 0, 1, -1, 0, -1, 1, 0, 0, -1, 0, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, -1, -1, -1, 1, 1, 1, 2, -1, 0, -1, 1, 0, 1, 2, -1, 1, 1, -1, 0, 1, 4, 1, -2, 0, -1, 1, 0, 0, -1, 0, 1, -1, 1, 1, 2, 0, -2, 0, 2, 0, 1, 1, 1, 6, 2, -2, 2, 3, 2, 0, 3, -1, 2, 2, 2, 0, 2, 2, 1, -1, 0, 0, 2, -1, -2, 2, 6, -2, 1, 2, 2, -1, 2, -1, 1, 0, -1, 0, -1, 1, 1, 1, -1, 1, -1, -1, 0, -2, -2, 4, 1, -2, -2, 0, -1, 2, -1, 1, 0, 1, 0, -1, 0, -1, 0, -1, 1, -1, -1, 2, 1, 1, 4, 0, 0, -1, 1, 0, 0, 3, 1, 1, 0, 0, 1, -2, 0, 0, 2, 1, 1, 3, 2, -2, 0, 4, 1, 0, 2, -1, 2, -1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, -2, 0, 1, 4, -1, 1, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 4, 2, 0, -1, 0, -1, -1, 0, 1, 0, 1, 0, -2, 0, 2, -1, 3, 2, -1, 1, 2, 1, 2, 6, -1, 1, 0, 1, -1, 0, 3, 0, 1, 0, -2, 0, -1, 0, -1, -1, 2, 0, -1, 0, 0, -1, 4, 0, 1, -1, -1, 1, -1, 0, 0, 0, 0, 1, 0, 1, 2, 1, -1, 0, 2, 0, -1, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 2, 0, 1, 3, -1, -1, 0, 0, 1, 0, 6, 1, 1, 1, -1, 2, -2, -1, 0, 2, 1, 1, 2, -1, 0, 1, 0, 1, -1, 1, -1, 1, 1, 4, 1, 1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, -1, -1, -1, -1, 0, 1, 1, 4, 1, -1, -1, 0, 1, 1, 1, 1, 2, 2, -1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 4, 0, -1, 0, 1, 1, 2, 2, 0, 2, 1, -1, 0, 2, 1, 1, 3, -1, 0, -1, 0, -1, 0, 4, 0, 0, 0, -1, 0, -1, -2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, 0, 4, -1, -2, 0, 0, 1, 0, -1, 1, -1, -2, 1, 0, 1, 1, 0, 1, -2, -1, 0, 0, 0, -1, 4, 0, 0, -1, 1, 2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, -2, 0, 4, 1, 1, -1, 0, 0, 1, -1, 0, 0, 1, -2, -2, 0, 0, 0, 0, 1, 1, -1, 0, 0, 1, 4, 0, 0, 1, 2, -1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, -1, 0, 2, 2, 0, -1, -1, 1, 1, 0, 1, 1, 2, 0, 2, -1, 1, -1, 6, -3, 1, -1, -2, 1, -1, 2, -1, 1, -2, -1, -1, 2, 2, 1, -2, 1, 1, 2, 1, 2, -3, 6, -2, 2, 1, -2, 2, -1, 2, -2, 1, 2, -1, -1, -1, -2, 1, 1, 1, -1, 1, 0, 1, -2, 4, -2, 0, 2, 1, 2, -1, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 2, -2, 4, 1, 0, -1, 0, 0, 0, 0, 1, -1, -1, -1, -2, 0, 1, 0, 1, 1, -1, -2, 1, 0, 1, 4, 1, 0, 0, 0, -1, 2, -1, 1, -2, -2, -1, 0, 1, -1, 0, 0, 0, 1, -2, 2, 0, 1, 4, 0, 3, -1, 0, 0, -2, 1, 0, -1, 0, 0, 0, 0, 0, 1, 2, -1, 2, 1, -1, 0, 0, 4, 0, 1, -1, 1, 0, 0, -1, 0, 1, 1, 0, 1, -1, 1, 2, 2, -1, 2, 0, 0, 3, 0, 6, -1, 0, -1, -1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, -1, 2, -1, 0, 0, -1, 1, -1, 4, 0, 1, 1, 0, 0, -1, -1, -1, 0, 1, 0, -1, -1, 1, -2, 1, 0, -1, 0, -1, 0, 0, 4, -1, 1, 0, 0, 0, 1, 0, 0, -1, 1, -1, -1, -2, 1, 0, 0, 2, 0, 1, -1, 1, -1, 4, -1, 0, -2, -1, -1, -1, -1, -1, 0, 0, 1, -1, 2, -1, 1, -1, -2, 0, -1, 1, 1, -1, 4, -1, 1, 0, 0, 0, 1, 1, 0, 0, 1, -1, -1, 1, -1, 1, 1, 0, 1, 0, 0, 0, -1, 4, -1, 0, 1, 1, -1, 0, 0, -1, 0, 2, -1, 0, -1, -2, 0, -1, 0, 0, 0, -2, 1, -1, 4, 0, 0, -1, 1, 1, -1, 0, 1, 2, -1, 0, -1, -2, -1, 0, 1, -1, 0, -1, 0, 0, 0, 4, 2, 0, -1, 1, 1, 1, 1, 1, -2, 1, -2, -1, 0, 1, 0, -1, 1, -1, 0, 1, 0, 2, 4, 1, 0, 0, 0, 0, 2, -2, 1, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 1, -1, 0, 1, 4, 0, 0, -1, 0, 0, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 1, -1, 0, 0, 4, 0, 0, 1, 2, 1, 1, 0, 0, -1, 0, 1, 2, 1, -1, -1, 1, 0, 1, 1, 0, 0, 0, 4, 1, 1, -1, 2, -1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, 0, -1, 1, 0, -1, 0, 1, 4, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, -1, -1, 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 0, -1, -1, -1, 0, 2, 0, -2, 2, 0, 1, -1, -1, -2, 0, -1, -2, -1, -2, -1, 4, 1, -1, 1, 2, 2, 1, 0, 1, 1, 1, -1, 0, -1, 1, -1, 1, 1, 1, 2, 1, 0, 1, 4, -2, -1, 1, 0, 0, 1, 2, 1, 0, 1, -1, 0, 1, -1, 2, 0, 1, 1, 0, 0, -1, -2, 4, 0, -1, 1, 0, -1, -2, 0, 0, 0, 1, 1, -2, 0, 0, 0, 0, 0, 1, -1, 1, -1, 0, 4, 1, 0, 0, -1, -1, 0, 1, 0, 1, 0, -1, 2, 1, -1, -1, -1, 1, -1, 2, 1, -1, 1, 4, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, -1, 2, 0, 1, 0, 2, 6, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, -1, 0, 3, 1, 0, 1, 0, 0, 0, 1, 0, 4, 0, 0, -1, 0, 0, -1, 1, 1, -2, 0, 0, 2, -1, 1, 2, 0, 1, -1, -1, 0, 0, 0, 4, 0, -1, 1, -1, -1, 0, 1, 0, -1, -1, -2, 1, -2, 0, 1, 2, -2, -1, 1, 1, 0, 0, 4, 0, 0, 1, 0, 0, 1, -1, 1, 0, 0, 1, 0, -2, 1, 1, 0, 0, 0, 1, -1, -1, 0, 4, 0, -1, -1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 4, 0, 1, -1, -1, -1, 1, -1, -2, 0, -1, 0, -1, 1, 0, 0, 1, 1, 0, -1, 1, -1, 0, 4, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 0, -1, 1, 1, 1, 0, -1, -1, 0, -1, 1, 1, 4, 0, -2, 0, 1, 0, -1, -1, 0, -1, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, -1, 1, 0, 4, 0, 1, 0, -1, 1, -1, 1, -1, 1, 1, -2, -1, 0, 0, 1, 1, 1, 1, -1, -1, -2, 0, 4, 0, -1, 0, 1, 1, 0, -2, -1, -1, 0, 2, 1, 1, -2, 0, -1, 0, -1, 1, 0, 1, 0, 6, -1, -1, -1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, -1, 1, 1, 1, 1, 1, 0, -1, -1, 4, 0, 1, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, -1, 0, -1, 0, 4, 1, 1, 1, -2, 1, 1, 0, -1, 1, 0, 2, -2, 0, 1, -2, 1, -1, 1, 1, -1, 1, 1, 6, 0, 2, -1, 2, 1, 0, -1, 0, 3, -1, 1, 1, 1, 0, -1, -1, -1, 1, 0, 0, 1, 0, 6, 0, -2, 1, 0, 1, 1, 1, 1, 1, -2, 0, 0, -1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, -1, -2, 2, 2, 0, 1, -1, 1, 0, 1, -1, 2, 1, 1, -2, 1, 0, -2, 4, -2, 1, -1, 1, 2, 0, -2, 0, 0, 1, -1, 0, -1, 0, -1, -1, -1, 2, 0, 1, 2, -2, 4, -1, 0, -1, -2, 1, 2, -1, -1, 0, 2, 0, 1, 0, 1, 1, 0, -1, -1, 0, 0, 1, -1, 4, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, -1, 2, 1, -1, 0, 1, 4, 1, -1, 1, 2, -1, 1, 0, 1, 0, 1, 0, 2, 2, -1, -2, -1, 1, -1, 1, -1, 2, 1, 4, 1, -1, -1, 0, -1, 2, 1, 0, -1, 2, -1, 1, 0, -1, 0, 2, -2, 2, -2, 1, -1, 1, 4, -1, -2, 1, -1, 0, -1, 1, -2, 1, -2, -1, 0, 1, -1, 1, 2, 0, 1, 1, 1, -1, -1, 4, 1, -1, 1, -1, 1, -1, 1, -1, 2, 1, -1, -1, 0, 1, 2, -2, 2, 1, 2, -1, -2, 1, 6, -2, 1, -1, 0, 1, 0, 0, 2, 2, 0, -2, -1, 0, 0, 0, -1, 0, -1, 0, 1, -1, -2, 4, -1, -1, 0, -1, -1, 1, -2, 0, 2, 0, 1, 0, 1, 0, -1, 0, 1, -1, -1, 1, 1, -1, 4, -1, -1, 1, 1, -2, 2, 0, -1, -1, 0, -1, -1, 1, 0, 1, 0, 2, 0, -1, -1, -1, -1, 4, 1, 0, 0, 0, 0, 0, -1, 2, -1, 0, 1, -1, 2, 0, 1, 1, -1, 1, 0, 0, -1, 1, 4, -1, 0, 0, 0, 1, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 0, -1, 4, -1, 0, 0, -1, 0, 0, -2, 0, 1, -1, 1, -1, 1, -1, -2, 1, 0, -1, 1, 0, 0, -1, 4, -1, 2, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 2, 1, -1, 0, 1, -2, 0, 0, 0, -1, 4, -1, 1, 1, -1, 0, 2, 2, -1, 1, 0, 2, -1, -2, 2, 2, -2, 2, 0, 0, 0, 2, -1, 4, 1, -1, -1, 0, 0, 1, -1, 1, 1, 2, 1, -1, 1, 2, 0, 0, 0, 1, -1, 0, 1, 1, 4, 0, -2, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0, 2, -1, -1, -1, 0, 0, 1, -1, 0, 4, -1, 2, 0, -2, 2, -1, 0, -2, -1, 1, -1, -2, 0, -1, 2, -1, 0, 0, -1, -1, -2, -1, 6, 0, -1, 1, 0, -1, -1, -1, 0, -1, 0, -1, 1, 0, -1, -1, -2, 1, 0, 0, 0, 2, 0, 6, -1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, -1, 0, 1, 0, -1, 2, 0, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 1, 1, -1, 1, 0, 1, 0, 0, 1, -1, 2, -1, -1, 2, 1, -1, 1, -1, 1, 1, 4, 1, 2, -1, 1, 2, 1, 1, -1, 1, 0, -2, 0, -1, -1, 0, 0, 1, 2, 0, 2, -2, 1, 4, 1, -2, 2, -1, 1, -1, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 1, 2, 1, 4, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, -2, -2, 0, 1, 1, 2, -1, 1, 1, -1, -2, 0, 4, -2, 1, -1, 0, -1, -1, 0, 0, 1, 0, 1, 1, 1, -1, 0, -1, 0, -1, 1, 2, 0, -2, 4, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, -2, -1, 1, 0, 1, 1, 1, 2, -1, 1, 1, -1, 4, 1, 1, -1, 0, -1, -2, 1, 0, -1, 1, 0, -1, 2, 0, 2, 0, 1, 1, 0, -1, 0, 1, 4, 1, 0, -1, 0, -1, 1, 0, 0, 1, 1, 0, 0, -1, 1, 1, 1, -1, -1, 0, 1, 1, 1, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 4, 0, -1, 1, 0, -1, -1, 1, 1, 1, 0, -1, 0, 0, 1, 0, 1, -1, 0, 0, -1, 0, 0, 4, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 4, 0, 0, -1, -1, 0, 1, -1, -1, 0, 0, -1, -2, 0, -1, 0, 1, -2, -1, 0, 1, 0, 0, 4, -1, 1, 0, 0, -1, 1, -1, 1, -1, 2, 0, -2, 0, 1, -1, 1, 1, 2, 0, 0, 0, -1, 4, -1, 0, 1, 1, -2, 0, -1, 1, -1, -1, 0, -2, 0, 1, 0, 0, 0, -1, -1, -1, 1, -1, 4, 2, -1, -2, 0, 0, 2, -1, -1, -1, 0, -2, 1, 0, -1, 0, 0, -1, 0, -1, 0, 0, 2, 4, -1, 0, 0, -1, 0, -1, 2, 0, -2, 0, 1, -2, 1, 1, 0, 1, 0, 0, 0, 1, -1, -1, 4, 1, 0, 0, -1, 1, 1, 0, 0, 1, 1, -1, 0, 1, 0, 1, 0, 1, -1, 1, -2, 0, 1, 4, 0, 0, -2, 1, -1, 1, 2, 1, -1, 1, -1, 0, -1, 1, 1, -1, 1, -2, 0, 0, 0, 0, 4, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 4, 1, 1, -1, 0, 0, -1, -1, 1, 0, -1, 0, -1, 0, 0, 1, -1, 2, 0, -1, -2, 0, 1, 4, -1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, -1, 1, -1, -1, 1, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -1, 1, -1, 1, 1, 2, 1, 1, 0, -1, 0, 1, -2, 0, 1, 1, -1, 0, 1, -1, 4, 1, 0, 0, 0, -2, 1, -1, 0, 0, 1, 0, 0, -1, 1, -1, -2, 0, 2, 0, 1, 1, 1, 4, 0, -1, 0, 0, 0, 2, 2, 2, -1, 1, -1, -1, -2, 1, 1, 0, -1, 0, 1, -1, 0, 0, 4, -2, 0, 0, 0, 1, 0, 1, 1, 1, 1, -1, 2, -1, -1, 1, 1, -1, -1, 1, 0, -1, -2, 4, 0, 0, 1, -2, 0, -2, 0, -1, -1, 0, -1, -1, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 4, 0, -2, 1, 1, 0, 1, -1, -1, -1, -1, 1, 0, -1, 0, -1, 1, 1, -2, 0, 0, 0, 0, 4, -1, 2, 0, 0, 0, 1, 1, 0, -2, 2, 2, 1, -2, 1, 0, 1, 1, 0, 0, 1, -2, -1, 4, 0, -1, 0, 0, -1, 0, 1, 0, -2, -1, 1, 1, 1, 0, 2, -1, 2, 1, -2, 1, 2, 0, 6, 1, 2, 1, 0, 1, 0, -3, 1, 1, 2, -1, 0, 0, 1, 0, 2, 0, 0, 1, 0, -1, 1, 4, 0, 0, 0, 0, 0, -1, 1, 1, 0, -1, 0, 0, 1, 0, 2, 1, -2, 0, 0, 0, 2, 0, 4, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 1, 0, 0, 4, -1, 1, -1, 1, -1, -2, 0, 1, 0, 0, -1, 0, 1, 1, -1, -1, 1, -1, 0, 0, 0, -1, 4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 4, 0, 1, 0, 0, 1, 0, 1, -1, 1, -1, -1, -1, 0, -1, 0, 1, 0, 0, -1, -1, 0, 0, 4, -1, 0, 0, 2, 0, 0, 0, -2, 1, -2, 2, -1, -1, -2, 0, -3, -1, 0, 1, 0, 1, -1, 6, -1, -2, -1, 2, 0, -1, 0, -1, 1, -1, -1, 1, 2, -2, 1, 1, 0, -1, 1, 0, 0, -1, 4, 2, 0, -2, 1, 1, 1, -2, 1, -1, 0, 0, 2, -1, 1, 1, 0, -2, 0, 0, 0, -2, 2, 4, 0, -2, 1, 0, 1, 0, 0, 1, -1, -1, 1, 1, 2, 0, 0, 0, 1, 1, 2, -1, 0, 0, 4, 0, 0, 0, -1, 2, -1, 1, 0, 0, -2, 1, -1, -1, 0, 1, 0, 0, 0, 2, -2, -2, 0, 4, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 4, -1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, 0, 1, 0, -2, 0, 0, -1, 0, 1, 0, -1, -1, 1, 1, -1, 0, 1, 0, 2, 4, 0, 2, 1, -1, -1, -1, -1, -1, -2, 0, 1, -1, 0, 1, 0, -1, -1, 0, 0, 1, 2, 0, 4, 1, -1, 0, 0, -2, 1, 0, 1, 0, 1, -1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 2, 1, 4, 1, -2, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 1, 0, -1, -1, 0, 1, 0, 1, -1, 1, 4, -2, 1, -1, -2, 1, 0, 0, 1, 1, 0, 1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -2, -2, 6, 1, 0, 1, 0, 0, -1, 1, -1, -2, -3, 2, 2, 2, -1, -1, -2, 0, -1, 0, 0, 1, 1, 4, 0, 0, 1, 0, -1, 1, 0, 0, -2, 2, 2, 1, -1, -1, 0, -2, -1, -2, -1, -1, 0, 0, 4, 1, -1, 0, 1, -2, 1, 1, -1, -1, -1, 1, 1, -1, 0, 0, -1, 1, -1, -2, 1, 0, 1, 4, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 0, -1, 0, -1, 1, 0, 1, -1, -1, 4, 1, -1, 1, 0, 0, -1, 0, 1, 1, -1, 1, 0, -1, -2, 1, 0, 0, 0, 0, 0, 0, 1, 4, -1, 0, 0, -1, -1, 0, 1, 1, -1, 0, -1, 0, 0, 0, -1, 0, -1, -1, 1, 0, -1, -1, 4, -1, 1, 1, 1, -2, -1, -2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, -2, 0, 1, 0, -1, 4, -2, -1, -1, 1, 2, 0, -1, -1, 1, 0, -1, -1, -1, 1, -1, 0, 1, 0, 0, 0, 1, -2, 4, 0, 1, 0, 0, -1, 1, 2, -1, -1, 0, -1, 0, 0, -2, 0, 1, 1, 0, -1, 1, -1, 0, 4, 1, -1, -1, 0, 0, 0, 2, -1, 1, 0, 0, 1, -3, -2, -1, 0, -1, -1, 1, -1, 1, 1, 6, -1, -2, -2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, -1, 0, 0, 0, -2, 1, 0, -1, -1, 4, 2, 1, -2, 0, 0, 1, -1, 1, 0, 0, 2, 2, -1, 1, 1, 1, -1, 2, 0, -1, -2, 2, 4, 1, -1, 0, 0, -1, -1, -1, -1, -1, 2, 1, 1, 1, 1, 1, -2, 0, -1, 0, -2, 1, 1, 4, -2, -1, 0, 0, 0, 0, -1, 0, -1, -1, 1, 0, -1, -1, 2, -1, 1, 0, 1, -2, -1, -2, 4, 1, 0, 1, 0, 0, 0, 1, -1, -1, -1, -1, 1, 0, 0, -1, 2, 0, 1, 0, 0, -1, 1, 4, -1, 0, 1, 0, 1, 0, -2, 0, 0, 1, 0, -1, 0, 1, -1, 2, 1, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 2, 0, -1, -2, 1, -1, -1, 0, 0, -2, -2, 2, 1, 2, -2, 1, 0, -1, 0, -2, 4, 0, -1, 0, 1, 2, -2, 0, -1, 0, 0, 2, 0, -2, -2, -1, 0, -1, 0, 1, 0, 1, 0, 6, 2, 0, 2, -3, 2, 1, -2, 1, 0, -3, 0, 3, 2, -1, -3, 0, 0, -1, -1, 2, -1, 2, 6, 2, 1, -4, 1, 1, 1, -1, 2, -2, -3, 2, 2, 1, -3, -1, 2, -2, 1, 0, 0, 0, 2, 4, 1, 0, 1, 2, 2, -1, 2, 1, -2, -1, 0, -1, 0, -1, 2, 0, 2, -1, 1, 2, 1, 1, 4, 0, 1, 0, 1, 1, 0, 1, -1, -1, 0, -1, 0, -2, 0, -1, 1, -2, 2, -3, -4, 0, 0, 6, -2, -1, 0, 1, -1, 3, 1, -4, -3, 0, 2, -1, -1, 1, 0, 1, -2, 2, 1, 1, 1, -2, 4, 0, 1, 0, 0, -1, -1, 2, 1, 0, 0, 1, 0, -1, 0, -1, 0, 1, 1, 2, 0, -1, 0, 4, 1, -1, 1, 0, 1, 0, 1, -2, 0, 0, 1, 1, 0, -1, -1, -2, 1, 2, 1, 0, 1, 1, 6, 0, 0, 2, -2, -2, -1, 0, 3, -1, 0, 0, 1, 0, 0, 1, -1, -1, 1, 1, 0, -1, 0, 4, -2, 0, 0, -1, 0, 1, 1, 0, -2, -1, 0, 0, 0, 0, 2, 2, 0, -1, 0, 1, 0, -2, 4, 0, 0, 1, 1, -1, -1, -1, 2, 0, 1, -2, 2, -3, -2, 1, 1, 3, -1, 0, 2, 0, 0, 6, -1, -3, -3, 0, 2, 0, 0, 2, 1, -2, 0, 0, -3, -2, -1, 1, -1, 1, -2, 0, 0, -1, 6, 0, 1, -2, 1, 0, -1, 1, -1, 2, -2, 3, 2, -1, -1, -4, 2, 0, -2, -1, 1, -3, 0, 6, 3, 0, -3, 2, 1, 0, -2, 1, -2, 2, 2, 0, 0, -3, 1, 1, -1, 0, 1, -3, 1, 3, 4, -1, -1, 0, 1, -1, 0, 2, -1, -1, 1, -1, -1, 0, 0, -2, 0, 1, -1, 0, -2, 0, -1, 4, -1, 1, -1, -1, 0, -2, 0, -3, -3, 0, 0, 2, 0, 0, 3, 1, -1, 2, 1, -3, -1, -1, 6, 0, -1, 1, 1, 1, -1, 0, -1, -1, -2, -1, 1, 0, -1, 0, -1, 0, 0, 2, 0, 1, 0, 4, -1, 1, -1, 0, 0, 0, 2, 2, 0, -1, 0, 1, 0, -2, 2, 0, -1, 1, 1, -1, -1, -1, 4, 1, 1, -1, 1, -1, -2, 0, -1, 1, -1, 1, 0, -1, 0, 2, 1, 0, -1, -1, 1, 1, 1, 4, -1, 0, 0, -1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, -1, -2, 0, 0, 1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, -1, -1, 2, 1, 2, 2, -1, 0, 2, -1, 0, 0, -1, 0, 0, 1, 1, 4, 2, -1, -2, 2, -2, -2, 1, -1, 1, -1, 0, 1, 1, -2, 1, 0, -1, 0, 0, 1, 2, 2, 6, 1, -1, 1, -3, -3, 1, -2, 2, 0, -1, 2, 0, -1, -1, 1, 1, -1, 1, 2, -1, -1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, 1, 0, 0, -1, -1, -2, -1, 0, 4, -2, 1, 1, -2, 1, -2, -1, 0, -1, -1, 0, -1, -1, 0, 1, -1, 1, 1, 2, 1, 0, -2, 4, -1, -2, 0, -1, 1, 0, 1, 0, 1, -1, 0, -1, -1, 1, 0, 0, -1, -2, -3, 0, 1, -1, 4, 1, -1, 1, 0, 1, 1, -2, 0, 0, -1, -1, -1, 1, -1, -2, -1, -2, -3, 0, 1, -2, 1, 4, 0, 2, -1, 0, 0, -1, 0, 2, 1, 0, 0, 0, 0, -1, 2, 1, 1, 0, -2, 0, -1, 0, 4, 1, 1, 2, -1, 0, 1, 0, 0, 1, 0, -1, 1, 0, 1, -1, -2, 0, 1, -1, 1, 2, 1, 4, 0, 2, -1, -1, 1, 0, 0, -1, -1, 1, 0, 0, 2, 1, 2, 0, -2, 1, 0, -1, 1, 0, 6, 0, -1, 0, 2, -1, 1, 0, -1, 0, 2, 0, 2, -1, 0, 1, -1, 0, 1, 0, 2, 2, 0, 6, 0, -1, 1, 0, -2, 1, -1, -1, -1, -1, -1, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 0, 4, -1, -1, 0, 0, -1, 0, 1, -1, -1, 0, 1, 2, 1, -1, 0, -2, -1, 0, -1, 0, -1, -1, 4, 0, 0, 0, 1, 2, -1, 1, 0, 2, 1, 0, 0, -1, 1, 0, 0, 1, 1, 2, 1, -1, 0, 4, -1, 0, -1, -2, 0, 0, 0, -1, -2, -1, 0, 0, -1, 0, 2, 0, 0, -1, 0, 0, 0, -1, 4, 1, 1, 1, -1, 1, 0, 0, 1, -1, -2, -1, 0, -1, 1, 0, 0, 1, -2, 0, 0, 0, 1, 4, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, -1, -1, 0, 1, -1, 0, 1, -1, 1, -1, 1, 0, 4, 1, -2, 1, 0, -1, -1, 1, 1, 0, -1, -1, 0, 0, -1, -1, -1, 0, 2, -2, 1, 0, 1, 4, -1, 1, 0, 0, 0, -1, 0, 1, 1, 1, 0, -1, 1, 0, -1, 1, -1, 0, -1, 0, -2, -1, 4, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, 2, -1, -1, 1, 0, 1, 1, 1, 1, 0, 4, 0, 1, 1, 2, -1, 1, 0, -2, -1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 1, 0, 1, 2, 1, 0, 1, 1, -2, 1, -1, -1, 0, -1, 1, 1, 1, 2, 1, 4, -2, 1, 1, 0, 0, 1, -1, 1, 0, 1, -2, -1, -2, -1, 1, -2, 0, 0, 0, 1, -1, -2, 4, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 2, 1, 0, 2, -1, 0, 0, 0, 2, 1, -2, 4, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, -2, -1, -1, -2, 2, 1, 0, 1, 1, 1, -1, 0, 4, -1, -1, 2, 0, 0, -1, 0, -2, 0, -2, 1, 2, -1, 0, -1, -1, 1, 0, 0, -1, 0, -1, 4, 2, 0, 1, 1, -1, 1, 0, 1, -1, -2, -2, 0, 1, -1, 0, 0, 1, 0, -1, 0, -1, 2, 4, 1, 1, 1, 1, 0, -1, 1, 1, -2, -2, 0, 1, 1, 1, 1, 2, 1, -1, 1, 2, 0, 1, 4, 0, 1, 0, 0, -3, 1, -2, 0, 0, -1, 0, 0, -1, 2, 1, -1, -1, 1, 0, 1, 1, 0, 4, -1, 1, -1, 0, 1, 0, 0, -1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, -1, 4, -1, 0, -1, 1, -1, -1, 0, 0, 1, -1, 0, 1, 1, 0, 0, 1, -1, -1, 1, 0, 1, -1, 4, -1, 0, -1, 2, 0, -1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 4, 0, 0, -2, -2, 0, -1, 1, -1, -1, 0, -2, -2, 0, 0, -2, 0, -1, -3, 0, -1, 0, 0, 6, -2, 2, 0, 0, 0, 1, 0, 0, -2, 1, -1, 1, 0, 0, 1, 1, 1, 1, 1, -1, 0, -2, 4, -1, 0, -1, 1, 0, 0, 1, 1, -1, -2, 2, -2, -2, -1, 1, -2, 0, -1, 2, -2, 2, -1, 6, 0, -1, 1, 0, 2, 1, 0, -1, -1, 1, -1, 1, -2, -2, 0, 0, -1, 0, -2, 0, 0, 0, 4, 2, 1, -2, 0, 0, 0, 0, 1, 0, -1, 2, -2, -2, 0, -1, 0, -1, 0, 0, -1, -1, 2, 4, 0, -1, -1, 0, 0, -1, -2, 2, -2, -1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 1, 1, 0, 4, -1, 0, 1, -1, 1, 0, -1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, -2, -1, -1, 4, 0, 0, 1, 1, 0, 0, 1, -1, -1, 1, 0, 1, -1, 2, -1, 0, 0, 2, 0, -1, 0, 0, 4, 2, 1, 1, 0, 0, 0, -1, 0, 1, -1, 1, 0, 1, -1, 0, 1, 1, 0, 0, 1, 0, 2, 4, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, -2, 1, 0, 0, 0, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 2, 1, -1, 0, 1, -1, 0, 0, 0, 0, 1, -1, -1, -1, 2, 2, 0, 0, -1, -2, 4, 1, -1, 0, 0, -1, -2, 1, 1, 0, 1, 1, -1, 0, 1, 1, -2, -1, 0, 0, 1, -2, 1, 4, 0, -2, 0, 0, 0, 1, 1, -1, 1, 1, 0, -1, 0, 2, -2, -2, -1, 0, 2, 2, -1, 0, 4, -1, -1, 1, 1, 1, 0, 1, 1, 0, 1, -1, 0, -1, 0, 1, 1, -1, 0, 1, 0, -2, -1, 4, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0, 0, -1, 0, 0, -1, -1, 4, -1, 0, 0, -1, 1, -2, -1, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 4, 0, 1, -1, 0, 0, 0, 1, 0, 0, -2, 1, 0, 0, 1, 1, 1, -2, 0, 1, 0, 0, 0, 4, 1, -1, -1, 0, 0, 1, 0, 1, -1, 0, 1, -1, 0, -1, -1, 1, 1, 1, 0, 0, 1, 1, 4, 0, 0, 0, 1, 1, -1, 2, -1, -1, -1, 0, -1, 1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 4, -1, 0, 1, 0, -1, 0, 2, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, 4, -1, -1, -1, 1, 0, -1, 0, 0, 2, -1, 0, 0, 1, 1, 1, 0, -2, 0, 0, 0, 0, -1, 4, 1, -1, -1, 0, 1, -1, 0, -1, -1, 0, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, -1, 1, 4, -1, 0, 0, 1, -1, 0, -1, 0, 1, 1, -1, 0, 1, 0, 1, 1, 1, 1, 0, -1, -1, -1, 4, -2, 0, -1, 1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, -1, 1, -1, 0, -2, 4, 0, -1, -1, 1, 1, 0, 0, -1, 1, 0, 0, 1, -1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 4, 0, -1, -1, 0, 0, 1, -1, 1, 2, -1, -1, 0, -2, -1, -1, 2, -1, 1, 1, -1, -1, 0, 4, -1, -1, -1, 0, 1, 2, -2, -2, 0, 1, 0, 1, 0, -1, 0, 0, -1, -1, 1, -1, -1, -1, 4, 1, 0, 1, -1, 2, -1, -2, 1, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, -1, 1, 4, 0, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 0, -1, 2, -1, -1, 0, 1, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 4, 0, -1, 1, 2, 0, 0, -1, 1, -1, 1, 1, 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, 1, -2, 1, -1, 1, 1, -2, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 2, 4, -1, 1, 0, -2, 0, 0, 2, 0, -2, 0, 1, -2, 0, 1, -1, 0, -1, 0, 0, 1, 0, -1, 4, -2, 1, 1, 1, -1, -1, 2, 0, -2, 1, -1, -2, -2, 1, 1, 2, -1, 1, 1, -1, 1, -2, 6, -2, 0, 1, 0, 1, -1, 2, 1, -1, 1, 0, 0, 1, 1, -1, -1, -1, 2, 1, 0, 1, -2, 4, -1, 1, -1, -1, 0, 0, 0, 2, 0, 0, -1, 1, -1, 0, 1, -1, 0, -2, -2, 1, 0, -1, 4, -1, 1, 0, 1, 1, -1, -1, 1, 0, 0, 0, 1, 1, -1, 1, 0, 1, 0, 1, 1, 1, -1, 4, -2, -1, 1, 1, -1, 0, 1, -1, -2, 1, 0, 0, 0, -1, 1, -1, 0, -1, 0, -1, 1, -2, 4, 0, 0, 0, 0, -1, 0, 2, 1, 0, -1, 1, 1, 1, -1, 1, 2, -1, 1, -1, 0, -1, 0, 4, 1, -1, 0, 0, -1, 0, 2, -2, 0, 0, 0, 1, 1, 1, 0, 2, -1, 0, 1, 1, 0, 1, 4, 0, -2, 0, 0, -1, 0, 0, 0, 2, 0, 2, 1, -2, -2, 0, 2, 0, 1, 1, 0, -1, 0, 4, 1, -1, 2, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, -2, 1, 0, -1, -1, 0, 0, -2, 1, 4, -1, 1, 1, 1, -1, 0, -2, 0, 0, 0, 1, 1, 1, -1, 2, -1, 0, -1, 0, 0, -1, -1, 4, -1, -1, -1, 1, -1, 1, 1, -1, 0, -1, -2, -1, 1, 0, 1, 1, 0, -1, 0, 2, 1, -1, 4, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 0, 0, 0, -1, 2, 0, -1, 0, 1, -1, 1, 4, 1, -1, -2, -1, 1, 0, -1, 1, 1, -2, 0, -1, 0, -2, 1, 2, 0, -1, 1, -1, 0, 1, 4, -1, 0, -1, 0, 1, 0, 0, -1, 1, 1, 1, 0, 1, 0, -2, 0, 1, -1, 1, 0, -1, -1, 4, 0, 1, 0, -1, 1, 0, 0, 1, 1, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, -2, 0, 0, 4, 0, -2, 1, 1, 0, -1, 2, -1, 0, 1, 0, 1, 0, 2, 0, -2, 1, 0, -1, -1, 1, 0, 4, 0, 1, 0, 0, 0, -1, -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 4, 0, -1, 0, 0, 1, -1, -1, 1, -1, 1, 1, 2, 0, 0, -1, 0, 0, 1, -1, 1, 1, 0, 4, 0, 0, 1, 1, 2, 0, 0, 1, -1, 1, 1, 1, 0, 0, -1, -1, 0, 1, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 1, 2, 1, -1, -1, -1, -2, 0, -2, -1, 0, -1, 0, 1, 2, -1, -2, 0, 1, -2, 4, -1, 0, -2, -2, 0, 2, 1, 2, 0, 2, 0, -1, 0, -1, -1, -2, 2, 2, 1, 0, 1, -1, 4, -1, 0, 0, 1, 0, -2, 0, 1, -2, 1, -1, -1, 1, 0, 2, 1, 0, 1, 1, 1, 0, -1, 4, 0, 1, -2, -1, 0, -1, 1, 0, -1, 1, 0, 0, 1, 0, -1, -1, 0, 1, 2, -2, 0, 0, 4, 1, 0, 0, -1, -2, 0, -2, 0, 1, 1, 1, 1, 2, -1, -2, -1, 1, 1, -2, 0, 1, 1, 4, 0, -2, 0, -1, -1, -2, -1, 1, -1, 0, 2, 1, -1, -1, 0, -1, -1, 0, 1, -2, 0, 0, 4, 0, 1, 0, -1, -1, 2, 0, 0, -1, 1, 0, 1, 0, 0, -1, -1, 2, 0, -1, 0, -2, 0, 4, -1, 1, 1, 0, 1, 0, 0, 1, -1, 0, 2, 1, 1, 0, -1, 1, -2, 0, -1, 0, 1, -1, 4, 0, -1, 2, 0, 0, 1, -2, 1, -2, 0, 0, -1, -1, -2, 2, 0, -1, -2, -1, 0, 1, 0, 4, -1, 1, 1, 0, 0, 0, -1, -1, 1, 2, 0, -1, 0, 0, 1, 1, 0, -1, -1, 1, -1, -1, 4, 1, 0, -1, 0, 1, -1, 1, 0, -1, 1, 2, -2, 2, -2, 0, -2, -2, -1, 0, 2, 1, 1, 6, 0, -1, 1, 0, -1, -3, -1, 1, -1, 0, -1, 0, 1, -1, 0, -1, 2, 1, 0, 1, 0, 0, 4, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 0, 0, 0, 0, -1, -1, 0, 4, 0, 0, 2, 0, 0, 0, -2, -1, -1, 0, -1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 4, 1, -1, 0, -1, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, 1, -2, 0, 1, 0, 1, 0, 1, 4, 0, 1, -1, 0, 0, 1, 1, -1, 0, 1, 1, 2, 1, -1, 1, -1, -1, -1, 0, 2, -1, 0, 4, 0, 0, -1, -1, 0, 2, -2, 2, 0, 2, 1, 0, 0, -2, -1, 1, -3, 0, 0, 0, 1, 0, 4, 0, -1, 1, 1, -1, 2, 1, -1, -1, -1, 1, 2, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 4, 1, 1, 0, -2, 2, 0, -1, -2, -1, 0, 1, 0, 2, -1, 1, 0, 0, 0, 0, -1, -1, 1, 4, 1, -1, 0, 1, 1, 0, -1, 0, 0, 1, -1, 0, 1, -1, 0, -2, -1, 0, -1, 1, 1, 1, 4, 0, 1, 0, 1, 1, 1, -1, -1, 0, -1, -1, 2, 0, 0, -1, 0, 1, 0, 1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, 1, 1, -1, 0, -1, 0, 0, -1, 1, 1, 0, -2, -1, 2, -1, 0, 1, 0, -2, 4, 0, 1, -2, 0, 0, 1, 2, 0, 0, 1, 0, -1, 0, 2, -1, -2, 2, 0, -1, 1, -2, 0, 4, 2, 0, -2, 1, -1, 0, 0, -1, 0, -2, -1, 0, 0, 1, -1, 0, -1, 0, -1, -2, 1, 2, 4, 0, -2, 1, 0, 0, 1, -1, 1, -1, 0, -1, 1, 1, -2, 1, -1, 0, 1, 1, -2, 0, 0, 4, 1, -1, -1, -2, 1, 1, 0, 0, 1, 1, -2, 2, 0, -1, 1, 1, 1, 1, 0, -2, -2, 1, 4, -2, 0, 0, 0, 1, -1, 2, 1, 0, 0, 0, 1, -1, 1, 1, 1, -1, 0, 1, 1, -1, -2, 4, 1, 0, 1, 0, 1, -1, -1, 0, 1, -1, -1, 0, 0, 0, -1, 0, 1, -1, 0, -1, 0, 1, 4, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, -1, 1, -1, 2, 0, 0, -2, 0, 0, 1, 4, 0, 1, 0, -1, -1, 0, 1, -1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, -1, -1, 1, 1, 0, 1, 1, 0, 4, 0, 0, -1, 2, 0, 0, 0, 0, 2, 0, 1, -1, 1, 0, 1, 0, -1, 1, 2, 0, 0, 0, 4, 0, 0, 0, 0, 1, -1, 1, 0, -2, 0, 1, 0, -2, -1, 0, 2, -1, 0, -1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 1, 1, -1, 1, -1, 1, -1, 0, 0, 4, -1, 0, 1, 1, -1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 2, 0, 0, -1, 4, -1, 0, -1, 1, 2, -1, 1, -2, 2, 0, 1, -2, 0, 1, 1, 1, 0, 0, 0, 0, 0, -1, 4, 0, -1, 0, 0, 0, 1, -1, -1, 1, 1, 2, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 0, 4, 0, 0, 0, 0, 1, 2, -2, -1, -2, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, -1, -1, 0, 4, -1, 0, 1, -1, -1, 2, 0, 1, -1, -1, 0, 1, 2, 1, 0, 1, 0, -1, 1, 0, 0, -1, 4, 0, -1, 1, 0, 0, -1, -1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 4, 1, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 1, 0, -2, 0, 1, -1, 0, 0, 1, -1, 1, 4, 0, 0, 1, -1, 1, 1, 1, -1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, -1, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -2, -1, 0, -2, 2, 1, 1, 1, 1, 1, -2, -1, 1, 1, -1, -1, 0, 0, -1, 4, -1, 0, 1, 2, 1, 0, 0, 1, 0, 0, -1, -2, 1, 0, 1, 1, 2, -1, -1, 0, -2, -1, 4, -2, 2, 0, -1, 2, -1, -1, 0, -1, -1, 1, 1, 0, 0, -1, 0, 1, 1, 0, 2, 0, -2, 4, -2, -1, -1, -1, 0, 0, -1, 1, 1, 1, 0, 1, 0, 1, -1, -1, -1, -1, -2, 1, 2, -2, 4, 2, 1, 1, -1, -1, 1, -1, -1, -1, 1, 0, 0, -1, 2, 1, 0, 0, -1, 2, 0, -1, 2, 4, 2, 1, 0, 1, 1, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, -1, 0, 1, -1, -1, 1, 2, 4, -1, 1, 1, 2, -1, -1, -2, -1, -1, 0, 1, 1, -1, -1, -1, -2, 0, 2, -1, 1, 1, -1, 4, -2, 0, -1, 0, 0, 1, 2, 0, 1, -1, 0, 1, 1, 0, 2, 0, -1, 0, -1, 0, 1, -2, 4, 1, 2, 0, 0, 0, -2, -1, 1, 0, 0, 0, 0, 0, 1, 1, -1, 0, -1, 1, 1, 0, 1, 4, 0, 1, 0, -1, -1, -2, 2, 2, 0, -2, -1, 0, 1, 0, 0, -1, 1, 1, 2, -1, 2, 0, 6, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, 1, -1, 0, -1, 0, 0, 1, -2, 4, 1, 0, -1, -1, 2, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 0, -1, 0, 0, 0, 1, 1, 4, 1, 0, 1, 0, -1, -2, 0, 1, 1, 1, -2, 1, 1, -1, -1, -2, 1, 0, -1, 0, 0, 1, 4, 0, 1, 0, -1, -2, 1, 2, 0, -2, 1, 1, 0, 1, 1, -1, 2, -2, -1, 0, -1, 0, 0, 4, 1, -1, -1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, -1, -2, 0, -1, 1, 1, 1, 4, -1, -1, -1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, -1, -1, 4, 1, 0, -1, 0, 1, 1, 1, -1, 1, -1, 0, 1, -1, 0, 2, 0, 1, -1, -1, -1, -1, 1, 4, 0, -2, -1, 0, -1, 2, 0, -1, 2, 1, 1, 0, 0, 0, 0, -1, -2, -2, 1, -1, 0, 0, 4, 0, -1, 0, -1, -1, 1, -1, 1, 0, -1, 1, 0, -2, 0, -1, 0, 1, 1, 1, -1, -2, 0, 4, 2, 0, 0, -1, 1, -1, 0, 0, -1, 1, 0, -1, 1, -1, 1, 2, 0, 1, 0, -1, -1, 2, 4, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, -2, 0, 0, -1, 1, 2, -1, -1, -2, -1, 0, 2, -1, 2, 0, 1, 0, 0, 1, -1, 4, 0, 0, 0, -1, 1, -2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, -2, -1, 1, -1, 1, 0, 4, 0, -1, 1, 0, 1, 2, -1, 0, 0, -1, 1, 2, 1, -1, -1, 1, 1, 1, 0, -2, 0, 0, 6, 2, -2, -1, 1, 0, -1, 2, 1, 0, 0, -2, -1, -1, 2, -1, -1, 1, 1, 0, 0, -1, 2, 4, -2, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 2, -1, -1, 0, 2, 0, -1, 1, -2, -2, 4, 1, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -2, 2, 2, -1, -1, -1, 1, 0, -1, 0, 1, 4, -2, 0, 1, -1, 1, 2, 1, 0, 2, -1, 0, 1, 1, 0, -1, 1, -2, 1, 1, 0, 1, -2, 4, 0, -2, 1, 0, -1, 0, 0, -1, 0, -1, 1, 0, 0, 1, 2, 1, 2, 0, 0, -1, 0, 0, 4, -1, -1, -1, -1, 1, 2, 0, 1, 0, 0, 0, 1, 1, -1, 1, -1, -1, -1, 0, 1, -2, -1, 4, -1, 0, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, -1, 0, 0, 2, 0, 0, -1, 1, -1, -1, 4, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, -1, -2, 1, 0, 1, 0, 0, 1, 0, -1, 0, 0, 4, 0, 0, -1, 1, -2, 0, -1, -1, 0, -1, -1, 1, -1, 0, 1, 0, 2, -1, -1, 0, 1, 0, 4, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 1, -1, -1, 0, 0, 4, 0, 1, -1, -1, 0, 1, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, 4, 0, 0, -1, 1, 1, 0, 1, -1, 0, 1, -1, 0, 1, 2, -1, 0, 0, -1, 1, 0, 1, 0, 4, -1, -1, 0, 1, 0, 0, 2, 0, -1, -1, 0, -1, -1, 0, 1, 1, 0, -2, 0, -1, 0, -1, 4, 1, 0, -1, 0, 1, 0, 1, -1, 2, 2, -2, 0, -1, 0, 1, 0, 0, 1, -1, -1, -1, 1, 4, -1, -1, 1, 1, 1, -2, 1, -1, -1, 2, 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, 4, 1, -1, 0, 0, -1, 1, -1, -1, 2, 1, 0, 0, -1, 0, -1, 1, 1, 1, 1, -1, -1, 1, 4, 1, 0, 0, 1, 1, 1, 0, -1, 0, 0, 1, -1, 0, 0, 1, 2, 0, 0, 0, 1, -1, 1, 4, 0, 1, -1, 0, 1, 2, -1, -1, 1, 1, -1, -1, -1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -2, 1, 0, -1, 1, -1, 2, -2, -1, -1, 0, 1, -1, 1, 2, -1, 0, 0, 1, -2, 6, 2, 2, -2, -2, -1, -1, -1, -2, 1, -2, 0, 0, -3, -1, 1, 0, 2, 0, 1, 0, 0, 2, 4, 2, -1, -2, 0, 1, 0, -2, 0, 0, 1, 0, -1, 0, 1, 0, 1, 1, 0, 0, -2, 2, 2, 4, 0, -1, 1, 0, 0, -1, 1, 0, 2, -1, -1, 1, -1, 0, 0, 1, 0, -1, 1, -2, -1, 0, 4, 0, 1, 0, -1, 2, -1, 0, 0, 0, 1, 0, -2, 2, 0, -1, -1, 0, 0, -2, -2, -1, 0, 4, 1, 1, 1, 1, 0, 1, -1, 1, 0, 1, -1, -1, -2, 1, -1, 1, -1, -1, 0, 1, 1, 1, 4, 1, 0, 0, 1, 1, 0, -1, 0, 2, -2, 0, 0, 1, 0, 1, 1, -1, 1, 0, 0, 1, 1, 4, 1, -1, -1, 1, 0, 0, 1, 0, 1, 0, -1, 1, -1, 1, -1, -1, 0, 0, -1, 1, 0, 1, 4, -2, 1, 2, 1, 1, 0, 1, 0, -2, -1, 0, 0, -1, 2, -2, -2, -1, 2, 1, 0, -1, -2, 6, 0, -2, 0, 0, 1, -1, -1, 2, -1, -1, 0, 0, -2, 1, 0, 1, -1, 0, 1, -1, 1, 0, 4, 0, 0, -1, -1, 1, -1, -1, 0, -1, 0, -1, -1, -2, 0, 0, 0, 1, 1, 1, 2, -2, 0, 4, 1, 1, 1, 2, -1, -2, 0, 1, -1, -1, -1, 0, 1, 2, 0, -1, 0, 0, 1, 0, 0, 1, 4, 0, 1, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, 4, -1, 0, 0, -1, 0, 0, 0, 0, 1, -3, -1, -1, 1, 0, 0, 1, 0, 1, -1, 1, 1, -1, 4, -1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 1, 0, 1, 2, 0, 1, -1, 1, 2, 0, 0, -1, 4, -1, -1, -1, 1, 0, 0, 1, 1, 1, -1, -2, -1, -2, 1, 0, -1, -1, -1, 0, 0, 0, -1, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, -1, 0, 0, -2, 2, -1, -2, 0, -1, 0, -1, 0, 4, 0, 0, 1, 1, -1, 2, 1, 0, 0, -2, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 4, -1, 0, 0, 0, 0, 1, 1, -1, 1, 1, 1, 0, -1, -1, 1, 1, 0, 0, 1, 0, 0, -1, 4, 1, 1, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 1, 1, 0, 1, 4, 0, 1, 0, 0, -1, 0, 1, 1, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 0, 2, 2, 1, -2, -2, -2, -1, 0, -1, -1, -1, -1, -1, 1, 1, -1, -1, 2, -2, 4, -1, 1, -2, -1, 1, 2, 0, 0, 2, -1, 0, 0, 1, 0, 1, -2, -2, 2, 0, -1, 1, -1, 4, 1, 0, -1, 1, 0, -1, -1, 1, 2, -1, 1, 0, 1, -2, 0, 0, 0, -1, 2, 0, 1, 1, 4, 0, -1, 2, 1, -1, 0, 2, 1, 1, 1, -1, -1, 1, -2, -2, 2, -1, 2, 2, -2, 0, 0, 4, 1, -1, -1, 0, 0, -2, 0, -1, -1, 0, 0, -1, 0, 1, 0, 0, 2, 2, -1, -1, -1, 1, 6, -2, -1, 0, 1, 0, -2, -1, -3, 1, 0, -2, -1, 0, 1, -1, -2, 1, 1, 1, 2, -1, -2, 6, 1, -1, -3, 1, 1, 0, 1, -1, -2, 2, 1, -1, -1, 0, 2, -2, 2, 0, 1, -1, -1, 1, 4, 0, 1, 1, 0, 1, 1, 1, 1, 0, -2, -2, 2, 1, 0, -2, 0, -1, -1, 0, 0, -1, 0, 4, 1, 0, -1, -1, -1, 1, 0, 1, 0, 0, 0, 0, -2, -2, 0, -1, 0, 0, 1, -3, 1, 1, 4, 0, 0, 1, 0, 1, 1, -1, -1, -1, 1, 1, -2, -1, 2, 1, 2, -2, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, 2, -1, 0, 0, -1, 2, 1, 0, -2, 1, 0, -1, 0, 0, 4, 1, 1, -1, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 1, -1, -1, 0, 1, -1, 1, 0, 1, 4, 2, -1, 0, 2, 0, 0, 0, 1, 0, -1, 0, 1, 1, -1, -3, 1, 1, -1, 0, 0, 1, 2, 4, -1, 0, 1, 1, 0, -1, 1, 1, -1, 1, 0, -1, 0, 1, -1, 1, 1, 1, 0, -1, -1, -1, 4, 1, -1, -1, -1, 0, 1, -1, -1, 0, 1, -1, 0, 0, -2, 1, 0, 1, 0, 0, 0, 0, 1, 4, -2, -1, 0, 1, 0, 0, -1, 1, -2, 1, -1, -2, 2, 0, 1, -1, 0, 0, 2, 1, -1, -2, 6, 1, 0, -1, 1, -1, 1, -2, 0, -2, 0, -1, 1, -2, 0, -1, -2, 0, 0, 1, -1, -1, 1, 6, 2, -4, 2, 0, 1, -2, 0, -2, 1, 0, -1, -2, 0, -1, -2, 1, 0, 0, -1, 0, 0, 2, 4, -2, 0, 0, -1, 2, 0, 2, 0, 1, -1, 2, 0, 1, 2, 0, 0, -1, 0, 1, -1, -4, -2, 6, -1, 0, -1, 0, -1, -1, 0, -1, 0, 1, 0, 1, -1, 0, 1, 1, 1, 0, 1, 2, 0, -1, 4, -1, 2, -1, 2, 2, 2, -2, 2, 0, -2, -2, 0, 1, 0, 1, -1, 0, -1, 0, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, 1, 0, 1, 1, 0, 1, 1, -1, 1, 0, -1, -1, -1, 1, 1, 0, 2, -2, 4, 2, 1, -1, -1, 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 1, 1, -1, -1, 0, 0, -2, 2, 4, 1, 0, -1, -1, 1, -1, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, 0, -1, -2, 0, 1, 1, 4, -1, 1, 1, -1, -1, -1, 1, 1, 2, 0, -1, -1, 1, 1, 0, -1, 1, -1, 1, -1, 0, -1, 4, 0, -2, 2, -1, 0, 1, 1, 0, 1, 2, -1, -1, -1, 2, 1, -2, -1, 1, -1, -1, 1, 0, 4, -1, 1, 0, -2, 1, -1, 1, 2, -1, -2, -1, 1, -1, -1, 1, -1, 0, 0, -1, 1, -2, -1, 4, -3, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, -1, 2, 1, -3, 6, 0, 1, 1, -1, 0, -1, 2, 0, -2, 0, 1, 0, -2, -1, 1, 0, -1, -1, -1, 0, 0, 0, 4, 0, 1, -1, -1, 0, -1, 0, 1, -1, -2, 1, 0, 1, 0, 1, 0, -1, 0, -2, 0, 1, 0, 4, -1, 1, 0, -2, 0, 0, -1, -1, 1, 1, -1, 1, 1, 0, -1, 1, 1, 1, -1, 1, 1, -1, 4, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, -1, -1, 1, 0, 4, 1, 0, 0, -1, 0, -1, 1, 1, 0, 1, -1, 1, 1, 2, 0, 1, 0, 0, -1, 0, 0, 1, 4, 0, -1, -1, 0, 1, 0, -1, 0, -2, 1, -2, -1, 0, 1, 2, 0, -1, 0, -2, 0, 0, 0, 4, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 2, -1, -1, 2, -1, 0, 0, 0, -1, 0, 4, 1, -1, -1, 1, 0, -1, 0, -1, 0, 1, -1, -1, -2, 1, 0, 0, 0, -1, -1, -1, -1, 1, 4, 1, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1, -1, 0, -2, 1, -1, 1, 0, 0, -1, -1, 1, 4, 0, -1, 0, 0, 0, -1, 1, 0, 1, -1, 1, 0, 0, -1, -1, 0, -1, 1, 0, -1, 0, 0, 4, 0, -2, 1, -1, 1, -1, 0, 0, 2, -1, 0, 1, -2, 1, 0, 1, 0, 0, 1, 0, -1, 0, 4, 0, -1, 0, 1, -1, 0, -1, 1, -1, 0, 0, 1, 1, 0, 1, -1, 0, 0, 0, 0, -2, 0, 4, 0, 1, 0, 0, -1, 1, -2, 1, 2, -2, 0, -1, 0, 0, 0, 1, -1, 0, 0, 1, -1, 0, 4, 1, 2, 0, -2, -1, -1, -1, 2, -1, 1, 1, 0, 1, -2, -1, 0, 1, 0, -1, 0, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, 1, 0, 1, -1, 1, 2, 2, 2, 1, 1, -1, -1, -1, 1, 1, 0, 0, 2, 4, 1, 0, 1, 0, -1, 0, 0, 1, 2, 1, 1, 1, 1, -1, -1, -2, 0, 2, 1, -1, 0, 1, 4, 0, 0, 0, -2, -1, 2, -1, 1, -1, 0, 0, 1, 0, -1, -2, 0, 2, 2, 1, 0, 0, 0, 4, -2, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, 1, -2, -1, 1, 1, 2, 0, 0, 1, 0, -2, 4, 0, 0, 1, -1, -1, -1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 4, 0, 2, 0, -1, 0, 1, 0, -1, -1, 1, -1, 0, -1, 0, 1, -1, 0, -1, -2, 0, 0, 0, 4, 0, 0, 0, -1, 1, 1, 1, -1, -1, 2, 2, 1, -2, 0, 0, 1, 0, -1, 0, 1, 2, 0, 4, 0, -1, 0, 1, -1, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, 0, 2, 1, -1, 0, 0, 0, 4, -1, 0, 0, 0, 1, 0, -1, -1, -1, 1, 1, 2, 0, 1, 1, -1, 1, -1, -1, 0, -1, -1, 4, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, -1, 2, 2, 1, 1, -1, 0, -1, 0, 0, 0, 4, 1, 1, 0, 0, 0, -2, -2, 0, 2, 1, 0, 2, 1, -1, 1, 0, 1, 1, 1, 0, 1, 1, 4, 1, 1, -1, 0, -1, -1, 0, 0, 1, -1, 2, 1, 0, 1, -1, 0, 1, -1, 0, 1, 1, 1, 4, 1, 1, -1, 0, -1, 2, 1, 0, 1, 1, 1, 0, 1, -1, -1, 1, -1, 1, 2, 0, 1, 1, 4, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 1, -1, 0, -1, -1, 0, 0, 1, 0, -1, 1, 0, 4, -2, 0, -1, 2, 1, -1, 1, -1, -1, 0, 1, 0, 1, -1, 0, -1, 0, 0, 0, -1, -1, -2, 4, 0, 0, -2, 0, 1, 0, -1, -1, -1, -2, 1, -1, 2, -1, -1, 0, -2, -1, 0, 0, 0, 0, 4, 2, 0, -2, -1, 1, -1, -2, -2, -1, 0, 0, 2, 0, -1, 0, -2, -1, -1, 0, -1, 0, 2, 4, 0, -2, -1, 0, 1, 0, 0, 1, -1, -1, 1, 0, 1, 1, 0, 0, 2, 1, 2, -2, 0, 0, 4, 0, 0, 1, 1, 2, 2, 1, 0, 0, -2, 0, 1, 0, 2, 0, 1, 0, 1, 0, -2, -2, 0, 4, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, -1, 1, -1, -1, 0, 2, 6, -1, 0, -1, 1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, -1, -1, -2, -1, 0, -1, 2, 2, 1, -1, 0, 0, -1, -1, 0, 1, 0, -2, 2, 4, 2, 0, -1, -1, -1, -2, 0, -2, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 1, -2, 2, 2, 6, -2, 1, 1, -2, -2, -1, 0, 0, -1, 1, -2, -2, -2, -2, -2, -1, 2, 1, -2, 1, 0, -2, 4, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, -1, 1, -1, -1, 1, 0, 4, 0, 0, 1, -1, 1, -1, -2, 0, -1, -1, -1, 0, -1, 0, 1, 0, 1, -1, -1, 1, 0, 0, 6, -1, -1, 0, 1, 1, 0, 0, 0, -2, 1, -2, -1, -2, 1, -2, -1, -2, -1, -2, 1, 0, -1, 6, -1, 2, 2, -1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, -1, -2, -2, 0, 1, -1, -1, 6, 1, 1, -2, 0, 0, 0, 2, 0, 3, 1, 1, -1, 1, 0, 0, 0, -1, 1, -1, 0, 2, 1, 4, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, -1, 1, -1, -1, -2, 0, 0, 1, 1, 2, 1, 0, 4, -1, 0, 2, -2, -1, -1, 0, -1, 0, 1, 0, 0, 2, 0, 0, 1, -1, 1, -1, -2, 0, -1, 4, 1, 0, 0, -1, 1, -2, -1, 0, 1, -2, -1, 2, 1, -1, 2, -2, 0, 0, 0, 1, 0, 1, 4, 1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 4, -1, 0, -1, 0, -2, 1, 2, 0, -1, -1, 0, -2, 1, -1, 0, 0, 0, 1, -2, 0, 0, -1, 4, 2, 2, 0, 2, 0, -2, 0, 1, 0, 1, -2, 2, -1, -2, 0, 2, 1, -1, -1, 1, 0, 2, 6, 1, 2, 1, 0, -2, 1, 1, 0, -1, -2, 2, -1, 1, 0, 0, 1, -1, 1, 1, -1, 2, 1, 4, 0, 1, -1, -1, -1, 2, -1, 0, -2, 0, 0, -2, 0, 3, 0, 0, -2, 0, 0, 0, 2, 0, 4, 1, 1, -1, 1, 1, -1, 0, -2, 0, -1, -1, 0, 1, 1, -1, -1, 0, -2, 2, 1, 1, 1, 4, 0, -2, 1, 1, 0, 0, -1, 0, 0, -2, 2, 1, 1, 0, 0, 0, 1, 0, 0, -1, 1, 0, 4, 0, 1, -1, 1, 0, 2, 0, 1, 1, 0, -1, -1, 1, 1, 0, 2, -2, -2, -1, -1, -2, 0, 4, 0, -1, 0, 1, 1, -1, 0, -2, 1, 1, 1, 0, -2, 0, 0, 0, 1, -1, 1, 1, 1, 0, 4, -1, -2, -2, -2, 1, 1, -1, 1, 0, -1, 0, -1, -1, -1, 1, 1, 2, 1, 1, -1, -1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 2, -1, 0, -1, 1, 2, 1, -1, 0, 1, 2, -1, -1, 0, -2, -1, -2, 1, 0, -1, 4, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, -1, 1, 1, -1, 1, 0, 2, -1, 0, 1, 1, 4, 2, 0, 2, 0, 2, 1, -1, 1, 0, 1, -1, -1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 4, -1, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, 1, -1, -1, 1, 0, -1, 4, 0, 1, -1, -1, -1, 0, -1, 1, -1, -1, -1, 1, 2, -1, 0, 1, -1, 0, 1, 2, 0, 0, 4, 1, 2, 1, -2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, -1, 2, 0, 0, 1, 1, 4, 0, -1, -1, 1, 1, 1, -1, 1, 0, -1, 1, 0, 2, -1, 0, 1, 0, 2, 1, -1, 2, 0, 4, 2, 0, 0, 1, 1, 0, 0, 0, 1, -1, 1, 1, 0, 1, 2, 0, 1, 0, -1, 1, -1, 2, 4, 0, 0, 1, 1, 1, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, -1, 1, -1, -2, -1, 0, 0, 4, -2, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 1, -1, 0, 2, 1, 0, 0, -2, 4, -1, 0, -1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 1, 1, -1, 4, 0, 1, 0, 1, -1, -1, 0, 1, -1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 4, 0, 1, -1, -1, -1, -1, 1, 1, -1, 2, -1, -1, 0, -1, 0, -1, 0, 1, 1, -1, 1, 0, 4, 0, 0, 0, -2, -1, -3, 0, 1, -1, 1, -1, -1, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 4, 0, -1, 0, 1, 1, -2, -1, -1, 1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 4, 1, 0, 0, 1, 0, 1, 0, -1, 1, 1, 1, 1, -1, 1, 0, 0, 0, -1, -1, 0, -1, 1, 4, 1, 0, -1, 1, 0, -2, 1, 0, 0, 2, 0, 1, -1, -2, -1, 1, -1, -1, -2, 0, 0, 1, 4, 0, 1, 0, -1, -1, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 4, 1, -1, 1, -2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, -3, 1, 1, -1, 1, 1, 6, 0, 0, 1, -1, 1, 1, 1, 0, -1, 0, 0, 0, -1, -1, 1, 0, -2, 0, 1, 0, -1, 0, 4, -1, 0, 0, 0, -1, -1, 1, 0, 1, 1, 0, 0, 2, -1, 1, -1, 1, 0, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 2, 1, -1, -1, -1, -1, -1, -2, -1, -2, 1, -1, -1, 0, 2, -1, 2, 0, -2, 0, 4, 2, 1, 1, 1, 0, -1, 1, -1, 0, 0, 1, -1, 1, -1, -2, -1, -2, 1, 0, -1, 0, 2, 4, 2, 2, 1, -1, -1, -1, 0, 1, 1, 0, 0, 0, -1, -2, -1, 0, 1, 0, -1, 2, 1, 2, 4, 2, 0, -2, -2, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, 2, 0, -1, 1, 1, 2, 2, 4, -1, 0, -2, 0, -1, 1, -1, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1, 1, 0, -1, 4, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, -1, -2, 0, 0, 4, 0, 1, -1, 0, 1, 2, 1, 0, 1, 1, 0, 0, -1, -1, 1, -1, -1, -1, -2, -2, 1, 0, 4, 1, 0, 0, 1, -1, -1, 1, -1, 0, 0, 1, -1, 1, 0, -1, 1, -1, -1, 0, 1, 1, 1, 4, 0, 0, 0, 2, -1, 0, 1, 1, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 0, 0, 4, -1, 0, 0, 0, 1, 1, 1, 0, 1, -1, -1, 1, -2, 0, 1, 0, 1, 1, 0, 0, 0, -1, 4, 1, 1, -1, -1, 0, -1, -1, 1, -1, 1, 1, -1, 0, 1, -1, -1, 2, 1, 1, 0, 0, 1, 4, 0, 1, 0, -1, -1, 0, 1, -1, 0, -1, -2, 1, 0, 0, 1, 1, 2, -1, 2, 0, 1, 0, 6, 1, -1, 2, 1, -2, 0, 0, -2, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, 4, -1, 0, 1, 1, 1, 0, -2, -1, -1, 1, 0, -1, -1, 0, 0, 1, 0, 1, -1, 0, -1, -1, 4, 0, -1, -1, 0, 0, 1, 1, -1, -1, -1, 0, 0, 0, 1, -1, 1, 1, 0, -1, 2, 0, 0, 4, 1, -1, 1, 0, 0, 2, 0, -2, -2, -1, 0, -1, 1, 0, 1, 1, -1, -1, 1, 1, -1, 1, 4, 1, 0, -1, -1, 1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, -1, -1, 1, 4, 0, 0, 0, -1, -1, -2, 0, -1, -1, 1, 0, 1, -1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 4, -1, 0, 1, 2, 1, 1, 2, 1, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, 0, -1, 4, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, -2, -2, 1, 0, -1, 0, 0, 1, 4, 0, -2, -1, -1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 1, -1, 1, 2, 1, -1, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 0, 1, -2, 0, -1, 0, 1, -2, -1, 1, 0, 0, 1, 1, 1, 1, 0, -2, 2, 4, 0, 0, -1, 0, -1, 1, 0, 1, -1, -2, 0, -1, 0, -1, 0, 1, -1, -1, 0, -2, 2, 0, 4, 1, 1, 1, -2, -1, -1, -1, 0, 0, -1, 1, 1, 0, 2, -1, 2, 1, -1, 0, 2, 0, 1, 4, 0, 0, -2, 1, 0, 1, 0, -2, 0, 0, -1, 1, 0, 0, 2, 0, 1, -1, 0, -1, 1, 0, 4, 2, 1, 0, -1, -1, -1, 0, 1, 2, 0, -1, -1, -1, 0, 2, 0, -1, 1, 0, 1, 0, 2, 6, -2, 0, -2, -2, 0, 2, -2, 0, -1, -2, 0, -2, -1, 0, 1, -3, -2, -1, -2, -2, 1, -2, 6, 0, 2, 1, -1, 1, 1, 0, 1, -1, -2, 2, -1, 0, -1, 2, 0, 1, -1, 1, 0, 0, 0, 4, 1, 0, 0, -1, 0, -2, -2, 0, -2, 0, 0, -2, 2, -2, -1, 0, -1, 0, -1, -2, 2, 1, 4, 0, 0, 0, 1, -2, 0, 1, -1, 1, 1, -2, 0, 1, 0, 1, -1, 1, -1, -2, 1, 0, 0, 4, -1, -2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, -1, 0, 0, -1, 6, -1, -1, 2, 0, 1, 0, 1, 1, 2, 0, 1, -2, -2, 0, -2, 0, 2, 1, -1, 0, -2, -1, 6, -1, -2, 1, 0, 1, -2, -1, -2, -1, 0, -1, 0, -1, 0, 1, -2, 1, 0, 1, 1, -1, -1, 4, 1, 0, 1, -1, 0, 0, 1, 0, 0, 1, -1, 1, 0, 2, 0, 0, -2, -2, 0, 2, -2, 1, 6, 0, 0, 0, 1, 0, 4, -1, 1, 0, 0, 1, -1, 0, -1, 1, -2, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 0, 1, -2, 2, 0, -1, 0, 1, -1, -2, -1, 0, 1, -1, 1, 0, 1, 0, 0, 4, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, -1, 0, -2, -2, -1, 0, 0, 1, -1, 0, 1, 1, 4, -1, 1, 0, -1, 1, 1, 1, -1, 0, -1, -2, 2, 0, 1, 1, 1, -2, 0, 1, 0, 0, -1, 4, 0, 1, 0, 1, 1, -1, 2, 2, 0, -1, -1, 0, 1, 0, 1, -1, 0, 0, 0, 1, 1, 0, 4, 0, 0, 1, 1, -1, 1, 0, 2, 0, 0, -2, -2, 0, 2, -2, 1, 4, 1, 0, 0, 1, 0, 6, 0, 1, 0, 0, -1, 1, 0, 1, -1, 2, 0, 0, 0, -1, 0, -1, -2, 0, -1, 0, 0, 0, 4, -2, -2, -2, 0, -1, -1, -3, 2, -2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, 1, -2, 1, 1, 0, 1, 0, 0, 1, 0, -2, 2, 1, -1, 0, -1, 1, 0, 4, -1, 1, 0, 1, 0, 1, 1, -1, -1, -1, -1, -2, 0, 1, 0, 1, 1, 0, -1, 0, 1, -1, 4, 0, -1, -1, 0, 1, -1, 1, 1, 0, 1, 1, -1, -2, -1, 0, -2, 1, 0, 1, -2, 1, 0, 4, 0, -1, 2, -1, 0, -1, 0, -1, -1, -2, -1, 1, -2, -1, 0, 0, 1, -1, 0, 0, -1, 0, 4, 2, 0, -2, -1, 1, 0, 1, 0, -2, 0, 1, 0, 0, 0, -2, 0, -1, 1, 1, -1, -1, 2, 4, 0, 0, -1, 0, 0, 0, 0, -2, 0, 1, 1, 1, 1, 0, -1, 0, -2, 0, 0, 2, 0, 0, 4, -1, 0, 0, 0, -1, 1, -2, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 1, -1, -2, 0, -1, 4, 1, 0, -1, -1, 0, 2, -1, -1, 1, 1, 1, 1, -1, 0, 1, 1, -1, 0, -1, -1, 0, 1, 4, 0, 0, -1, -1, 0, 1, -1, 1, 1, 1, 0, -1, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 4, 1, 0, 1, 1, 0, 0, 1, 1, 0, -1, -1, 1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 1, 4, -1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 2, 0, -1, 0, -1, 1, 0, -1, -1, -1, 0, -1, 4, 0, 0, 0, -1, 0, 1, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, -1, 1, 1, 0, 4, 0, 0, -1, 1, -1, 0, 0, 1, 1, 1, -2, 1, -2, -2, -2, -2, 2, 0, 1, 0, 0, 0, 6, -1, -1, 1, 0, -1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, -1, 1, 0, -1, 0, 0, -1, 4, 1, 0, 0, 1, 1, 0, -1, -2, 1, -2, 1, 1, 1, 1, -1, -1, 0, -1, -1, -1, -1, 1, 4, -1, 0, 1, 0, 0, -1, 2, 0, -1, -2, 0, 1, -1, 1, 1, 1, 0, 0, 1, 1, 0, -1, 4, 1, 1, -1, -1, 1, 1, 1, 0, -1, 0, 1, 0, 1, 1, 1, -1, 1, -1, 0, 0, 0, 1, 4, 0, 0, -2, 1, -1, 1, -2, 0, 0, 1, 0, 1, 1, 0, -1, -1, 0, -1, 1, 1, 1, 0, 4, 0, 0, -1, 0, 0, 1, 0, -2, 0, 0, 1, 0, -1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 4, 1, 0, -1, -1, 0, 1, 0, -1, 0, -1, -1, -1, 1, 0, 1, 0, 0, 0, -1, -2, 0, 1, 4, -1, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, 2, 0, 1, 1, -1, -1, 1, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, 0, 0, 1, 1, 1, 2, -1, -1, 1, 0, -1, 1, 1, -1, 2, 1, 4, -1, -2, 0, 1, 2, 0, -1, 2, -1, 0, -1, 0, -1, 0, 1, -2, 2, 2, 1, 1, -1, -1, 4, 0, 1, 0, 0, 0, 2, 0, 0, 1, -2, -1, 1, 1, -2, 0, 0, 0, 0, 0, -1, -2, 0, 4, 0, -1, 0, -1, 1, -2, 0, 1, 1, 1, 0, -1, -1, 0, 0, -2, 0, 0, 1, 0, 1, 0, 4, 1, 1, 1, 1, 0, 0, 1, -1, -1, 1, 1, -2, 1, -1, 0, 0, 1, 2, 1, 0, -1, 1, 4, 0, -1, -1, 1, 0, 2, -1, -2, 1, 0, 0, -2, 2, 1, -1, 2, 1, 2, 0, 0, 1, 0, 4, 1, 1, 1, -1, 0, -1, 1, -1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, -1, 1, -1, 1, 4, 0, 0, -1, -1, 0, 0, 0, 0, 1, 3, 0, 0, 1, 0, 0, -1, 2, 1, 1, -1, 1, 0, 4, -1, 0, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0, 0, 1, 2, 0, -2, 0, 1, 1, 0, -1, 4, 1, 0, 0, -1, 0, 0, 0, 0, 1, 2, -1, 1, 1, -1, 0, 0, 0, 0, -1, -1, 0, 1, 4, 0, 2, 0, 1, 1, -1, 0, -2, -1, -1, 0, 1, 0, 1, 1, 1, 2, 0, -1, 0, 0, 0, 4, 0, -2, 0, 0, -1, -2, 2, 0, 0, 2, 2, -1, -2, 1, -1, -1, -1, 0, -1, 0, 2, 0, 6, 0, -2, -1, 0, 1, -1, 0, -1, 1, -1, 0, -1, 1, -1, -2, 1, 0, 0, -1, 0, -2, 0, 4, -1, 1, 1, 1, -1, -1, 1, -2, -1, -1, 1, 0, 1, 1, -1, 0, 0, 0, 1, 0, -2, -1, 4, 0, -1, 0, -1, -1, 0, 0, 1, 0, 1, -1, 1, 0, 1, 0, 1, 0, 1, 0, -1, 1, 0, 4, 0, 0, -1, 0, 0, 0, 0, 1, -2, -1, -2, 0, 0, 1, -1, 0, -1, -1, 0, 1, -1, 0, 4, 0, 1, 0, 1, 0, -1, -2, 0, 0, 1, -2, 0, 3, 0, 0, 0, -2, 1, 1, 0, 0, 0, 6, -2, 0, 0, -1, 1, 2, 0, 0, -1, 2, 2, 0, -1, 1, -2, 2, -1, -1, -1, -1, 1, -2, 6, 1, 0, 2, 1, 2, 0, -2, 0, 1, 1, 0, -1, 2, -1, 0, 0, -1, -1, 0, 0, 0, 1, 4, 0, 1, -1, 1, 0, 0, 0, -1, 0, 1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 4, -1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, -2, 0, 0, 0, -1, 2, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 1, 1, 2, -2, 1, 0, 1, 0, -2, -1, 1, -1, 0, 1, 1, 2, 1, -2, 0, -1, -2, 4, -1, -1, -2, 2, -1, 1, 0, 1, 2, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, 0, 1, -1, 4, 2, 1, 0, 0, 1, 0, 1, -1, 1, 2, 0, 1, 2, -1, 0, 2, 0, 0, -2, 1, -1, 2, 4, 0, 0, 0, 1, -1, 1, -2, -1, 1, -1, 0, 1, 0, 1, 2, -1, 1, -2, 2, -2, 1, 0, 4, -2, 0, -1, 0, -1, 0, 1, 0, -1, 1, 0, -1, 0, 1, 0, -1, -1, -2, 2, 0, 0, -2, 4, -1, 0, -1, 0, 2, 0, -1, 0, 1, 0, 0, -1, 1, 1, 1, -1, 1, -1, 0, 0, 0, -1, 4, -1, 0, -1, 0, 0, 1, 1, -1, 0, -1, 2, -2, -2, 1, -1, 0, 1, 1, 1, -1, 0, -1, 4, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, -1, 1, 1, 0, 0, -1, 0, -1, 0, 0, 4, 0, -2, -1, 0, -1, 0, -1, 2, 1, 0, -1, -1, 0, 0, 1, 1, 1, -1, 0, -1, 1, 0, 4, -2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, -1, -2, 2, -1, -2, 0, 2, 0, 0, -2, -2, 6, 2, -1, 0, 0, 0, -2, -2, -1, 2, 0, 0, -1, 0, 1, -1, 1, 0, 0, 0, -1, 0, 2, 4, 0, 1, 0, 1, -2, -2, -1, 1, 0, 0, 1, 0, 2, 1, 0, -1, 1, 1, 0, 1, -1, 0, 4, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, 0, 1, 0, -1, 1, 0, 1, 0, 4, -1, 1, -1, 0, -2, 0, 1, 1, 0, 1, 1, 0, 1, 1, -1, 0, 0, 1, 0, 0, 1, -1, 4, -1, 0, -1, 3, 1, -1, -1, 1, -1, 2, 1, 0, 0, 0, 1, -1, 1, 0, 1, 1, 1, -1, 4, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, -1, 0, -1, 1, 2, 1, -2, -2, 0, -1, 0, 0, 4, 1, 1, -1, 0, 1, 2, -1, 0, 1, 0, -1, 2, 0, 1, 0, -2, -2, 0, 0, -1, 0, 1, 4, 0, -2, 1, -1, 1, 0, 2, 2, 1, 1, -2, 2, 0, 1, -1, -1, 1, -2, 3, 0, 1, 0, 6, 0, -1, -1, -2, 1, 0, -1, 0, 1, -2, 0, -1, 0, 2, 1, 0, 0, 1, 0, -1, -2, 0, 4, 0, 1, 0, 0, 0, 1, -1, 1, 1, -1, -1, 1, 0, 0, 0, 1, -1, 1, 0, 1, -1, 0, 4, -2, -1, 0, -2, -2, -1, -1, -1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, 1, 0, -1, -1, -1, 1, 1, 0, 1, 4, 1, 2, 0, -1, 0, -1, -1, -1, 0, 0, 1, 1, 1, 0, -2, 1, 0, -1, 2, 0, -2, 1, 4, 0, 1, 0, -1, -2, 1, 1, 1, 1, 1, -1, -1, -1, 0, 2, 0, -2, -1, 0, 2, 2, 0, 4, 1, -1, 1, 0, -1, -1, 1, 1, 1, 1, 1, -1, -1, 0, -1, 0, 2, 1, 0, 0, 1, 1, 4, 1, -1, 0, -1, 1, 0, 2, 0, -1, 0, -1, 0, 0, 1, 0, -1, -1, 0, -1, 0, -1, 1, 4, -1, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 1, 1, -2, -2, 1, 0, -1, 1, -1, -1, 4, 2, 0, 0, 1, -1, 1, 2, -1, -1, 1, -1, 0, 1, 1, 1, 1, -1, -2, 0, 0, -1, 2, 4, 0, 1, -1, 0, 0, 1, 0, -1, 1, -2, 1, 2, 1, 0, -1, -1, 1, -1, -1, 0, 0, 0, 4, 0, 1, 0, 1, 0, -2, 1, 2, 0, 0, 0, -2, 0, -1, -1, 1, -1, 1, 0, 0, 1, 0, 4, -1, 1, 0, 0, -1, -1, 1, -1, 0, 1, 0, -1, 0, 0, 1, 1, 0, 0, 1, -1, 1, -1, 4, -1, 1, 1, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 1, 1, 2, -1, -1, 0, 0, 1, -1, 4, 0, -2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 4, 1, -1, 0, 0, -1, 0, 0, 1, 0, 1, 1, -1, 1, -1, 0, 2, 1, 0, 0, 1, -2, 1, 4, 0, 0, 0, -1, 0, 1, 2, 0, 1, 1, -1, 1, 0, 0, -1, 0, -2, -1, 0, -1, -1, 0, 4, -1, -2, 0, 1, 0, 1, 0, 0, 0, -1, -1, -1, 0, -1, -1, 1, -1, 0, 0, 0, 0, -1, 4, 1, 0, -1, 0, 0, 0, -1, -2, 0, -1, 0, -1, 1, 1, 2, 1, 1, 0, 0, 0, -2, 1, 4, 0, 0, 0, -1, 1, -1, 1, 2, 0, 0, -1, -1, -2, 0, -1, 1, 0, -1, -1, 0, 0, 0, 4, 0, -2, 0, 1, -1, 0, 0, -1, 1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 4, 0, -1, -1, 1, -1, -2, 0, 0, 1, 1, 2, 0, 1, -1, 0, 0, 1, 0, 0, 0, -2, 0, 4, 1, -1, 1, 2, -1, 2, -1, -2, 1, 1, -2, 0, 0, 0, 1, 2, 1, 0, -1, 0, -1, 1, 6, 0, 0, 0, 0, 1, -1, -2, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 0, 2, 0, -1, -1, 1, -1, 1, -2, 1, 2, -2, -1, -1, -1, 1, -2, -1, 1, 4, -2, 2, 0, 1, 0, -1, -1, 0, 0, 2, 0, -1, 2, -1, -1, 1, 1, -1, -1, 1, -1, -2, 4, -2, -1, -1, 1, 1, 1, -1, -1, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 2, 2, -2, 4, 1, 1, -1, -1, -1, 0, 0, 1, -1, 0, 1, -1, -2, 0, -1, 0, -2, -1, 0, 0, -1, 1, 4, 1, 1, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, 0, -1, 0, 0, -2, 2, 1, -1, 1, 1, 4, 0, -1, -1, 1, -2, 0, -2, 1, 2, -2, 0, -1, -1, 1, -1, -2, 0, 0, 1, -1, 1, 0, 4, 0, 0, 1, -2, 0, 1, -1, 1, -1, 1, 1, -1, -1, 0, 1, -1, -1, 1, -1, 1, -1, 0, 4, 0, -2, 1, 0, -1, -1, -3, 2, 1, -1, 0, 1, 0, -1, -1, -1, 1, -1, 1, -1, 0, 0, 4, -1, 0, 0, 0, 0, -1, 1, 2, 0, 0, 0, 1, 1, 1, 0, -1, 0, 0, 1, 1, -2, -1, 4, -1, 0, 2, 1, 1, -2, 0, 0, 0, 0, 1, -1, -1, 0, -1, 0, -1, -2, -2, 1, 0, -1, 4, -1, 1, -1, -2, 2, -1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, -1, 6, -1, 1, 1, -1, 1, 0, 1, 0, -1, -1, -2, 0, -1, -1, 0, -2, 1, -1, 0, 2, 1, -1, 6, -1, -1, 0, 0, 1, 2, -1, 2, 1, 1, -1, 1, 0, -1, 1, -1, -1, 0, 1, -1, 1, -1, 4, 1, -1, 0, -1, 0, 1, 0, -2, 2, 2, -1, 1, -1, 2, 1, -3, -1, 1, -2, 1, -1, 1, 6, -2, -1, 0, -1, -1, -1, 1, -2, -1, 0, -1, 0, -2, -1, 2, 1, -2, 2, -1, 0, -1, -2, 4, 1, 0, 0, 0, 1, 1, -1, -1, 1, -2, 1, 0, 1, 1, 2, 0, -1, 1, 0, 0, -1, 1, 4, -1, 0, 1, 1, 0, -1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, -1, 4, 1, -2, 1, 2, -1, 1, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 2, 0, -1, 0, 0, 1, 4, -1, 1, 1, 1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, -1, 1, -1, 0, 1, -2, -1, 4, 0, -2, -2, -1, 0, -2, 0, -1, 0, 0, 1, 1, 1, -1, 2, 0, -1, 1, 1, 1, 1, 0, 4, 0, -1, 1, 1, -1, -2, -2, 1, -1, 1, -1, 1, -1, 1, -2, 1, 1, 0, 2, 1, -2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, 1, -2, -1, 1, 2, -1, 1, 0, 0, -2, -1, 2, 1, 0, 2, 0, 2, 0, 4, -1, -2, -2, 0, 0, 1, -1, 0, 0, -2, 0, -1, 1, 2, 0, -1, 1, 0, 1, -1, 1, -1, 6, -2, 1, -2, 2, -2, 1, -1, 1, 0, 2, 1, 1, 1, -2, -1, -1, -1, 0, 3, 0, -2, -2, 6, 2, 2, -2, 2, 1, 1, -2, 2, -2, 1, -3, -1, 3, 1, -2, 1, -2, 0, 0, -2, 1, 2, 4, 1, -1, 1, 0, 0, 0, 0, -1, 0, -2, -1, 0, 1, 0, 0, -1, 2, 1, 0, -2, 2, 1, 4, -1, 1, 0, 1, 0, 1, -1, 0, -3, 0, 1, 0, 1, 1, 0, 1, -2, 0, 2, -2, -1, -1, 6, -2, -1, -2, 1, 0, 2, 1, 2, 2, -4, -1, 0, -2, 0, 1, -1, 1, -2, 2, 1, 1, -2, 6, -1, -1, 1, -2, -3, 1, 0, 1, 0, 0, 1, -1, -1, -2, 1, -1, 1, 1, 0, 0, -1, -1, 4, 0, 0, 1, 1, 0, -1, 0, 2, 1, -1, 0, -1, 1, 2, 0, -1, 1, 0, 1, -2, -1, 0, 4, -1, 1, 0, 0, -1, -1, 2, 1, -1, 2, 0, 0, -1, 0, 1, -2, 0, 0, 1, 1, 0, -1, 4, -1, 1, 0, 2, 1, -2, -1, 1, -1, 0, -1, 1, -2, 0, 2, 0, 1, 0, -2, 1, 1, -1, 4, 0, 1, -2, -1, 2, 0, -1, 1, -1, 1, 0, 0, 2, -2, -1, -1, 2, -3, 1, 0, 1, 0, 4, 0, 2, 1, -1, 0, -1, 0, 0, 1, 0, -1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 4, 0, 1, -1, 0, -1, -1, -1, 1, -2, 1, 1, -3, -2, -3, 2, 0, -1, -1, 2, -2, 2, 0, 6, 2, -3, -1, 0, -1, 1, -3, -1, 2, 1, -1, -1, 0, 2, 1, 0, -1, 1, -1, 1, 1, 2, 4, -2, -1, 0, -1, 0, 0, 2, 0, -2, 3, 0, 1, -4, 0, 2, 2, -2, 2, -1, -1, -3, -2, 6, 1, -1, 2, -1, 0, 1, -1, -1, 1, 1, 0, -1, 0, 1, 1, -1, 0, 0, 0, -1, -1, 1, 4, 0, 1, -1, 1, 0, 1, -1, -2, 0, 1, 0, 1, -1, -1, 1, -1, -1, -1, 0, 0, -1, 0, 4, -1, 1, 0, 2, 0, -1, 1, 0, 1, -2, -1, 0, 2, -1, 1, 0, -1, -1, -1, 2, 1, -1, 4, 1, 0, 0, 1, 0, -2, -1, 0, 0, -1, -1, 0, 0, -1, 0, -1, 1, 0, -1, -1, 1, 1, 4, -1, 2, -1, 3, 0, 2, 1, 1, -2, 1, 0, -1, 1, 1, 1, -3, 0, 0, 1, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, -1, 2, -1, 1, -2, 1, 2, -1, -2, -1, 1, 0, 1, -1, -1, -1, -1, 1, 0, 4, -2, 0, 1, -2, 0, -2, 1, 0, 2, -1, -2, 1, 2, -1, -2, -2, 0, -2, 0, 1, 0, -2, 4, 0, 1, 2, 1, 0, -1, -1, -1, 0, 1, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, -2, -1, 0, 3, 0, -3, -1, 1, 0, 2, -1, -2, -3, 2, -2, -3, 2, -1, -1, 1, 1, -2, 6, -1, -1, -4, 1, 0, 2, 0, -2, 0, 2, 2, 1, -3, 0, 0, 0, 2, 2, -2, 2, -1, -1, 6, 1, 2, -3, 1, 0, 1, -1, 0, -1, -1, 3, 1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 1, 4, 1, -1, 0, 0, 1, 2, 1, -2, -1, -1, 2, 0, -1, 1, -1, 1, -2, 0, 3, -4, 2, 1, 6, -1, 0, -1, 1, 1, 0, -2, -1, 0, 4, 0, 0, 0, -2, -2, 1, -1, 0, 1, -3, -1, -1, 4, -1, 0, 0, 1, 0, 1, 1, -1, 0, 0, 1, 0, -1, 1, 0, -1, -3, 0, 1, 0, 0, -1, 4, 1, 0, -1, -1, 0, 1, 2, -1, 1, 2, -2, 1, 2, 2, -1, -1, 2, 0, 0, -1, 0, 1, 6, -1, -3, -1, 2, 1, 0, -1, -1, -1, -1, 2, -1, -1, 0, 1, 0, 1, 1, 1, 0, 0, -1, 4, 0, 2, -1, 0, -1, 1, 0, 0, 1, -1, -2, -2, 1, 0, -2, -1, 2, 1, 1, -1, -3, 0, 6, -1, -2, 0, -1, 3, 0, 1, 1, -2, -1, 1, 0, 2, 0, 0, 1, 0, 0, -1, -1, 2, -1, 4, -1, -2, -2, 0, 0, -2, 1, -1, 1, 2, -1, -1, 2, -1, -2, -2, 1, 0, 2, -1, -2, -1, 4, 1, 0, -2, 0, 0, -1, 2, 0, -1, 0, -2, 2, -1, -1, -1, 1, 1, 1, 0, 0, -2, 1, 4, 1, -1, 0, 2, 0, 1, 1, -2, 2, -3, 1, 3, -1, 0, -1, 2, 0, -1, -1, -2, 0, 1, 6, -1, 1, 3, -2, 1, -1, -2, 0, 2, -3, 1, 2, 4, 0, -1, -1, 1, 3, 0, -2, -1, -1, 6, 0, 1, 1, -2, -1, 0, 0, -2, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 4, 1, -1, 0, -1, -2, 0, -3, 0, 1, -1, 0, 1, 2, -1, 0, 1, -2, 0, 2, 3, 1, 1, 6, -1, 0, -1, 0, 0, 2, 0, -1, 1, 0, 0, -2, -1, 1, 1, 1, -1, 0, -2, 1, -1, -1, 4, -1, 1, 1, 0, -1, 2, 0, -1, -2, -1, 1, 2, -1, -2, -1, 2, 1, 1, -2, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, 1, -1, 2, 2, 0, 1, -1, 1, -1, -1, 0, 2, -1, 1, 1, -1, -1, -2, 4, 2, 1, 1, -1, 0, 0, -1, 0, -1, -1, 0, 0, 1, -1, -1, 1, -1, -1, 0, 1, -2, 2, 4, 1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, 1, 0, -2, 1, -1, -1, 0, 1, 0, 1, 1, 4, 2, -1, -1, 0, 0, -1, 0, -2, -1, -1, 2, 0, 0, -1, -1, 1, -1, 0, 1, 1, 0, 2, 4, 0, -2, 1, 1, -1, -1, -2, 0, 0, 1, -1, 0, -1, -1, 1, -1, -1, 1, -1, 0, -1, 0, 4, -1, 0, 2, -1, -1, 0, 2, 2, 0, -1, -1, 0, 1, 0, -1, 1, -1, 0, 1, -1, -2, -1, 4, 0, -2, 0, 0, 1, 0, -1, 0, 2, -1, 0, -1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 4, 1, 1, 1, -1, 1, 0, -1, -1, 1, -1, 1, 1, -1, -1, 2, -1, -1, 0, 1, 2, -2, 1, 4, -1, 0, 0, 1, 1, -1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, -1, -1, -1, 0, 1, -1, 4, 2, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 0, -1, -1, 0, 1, 0, 2, 4, 0, -1, -1, 0, -1, 2, 0, 0, 0, -1, 0, -1, -1, -1, -2, -2, 0, 1, -1, 0, 0, 0, 4, -1, 1, -1, 1, -1, 1, 0, -1, 2, 0, 1, 0, 0, -1, 0, 2, 0, 1, 1, 0, -1, -1, 4, 1, -1, -1, 0, -1, 2, 1, -1, 0, -1, 0, 1, -1, 0, 2, -1, 0, 1, 0, -1, 1, 1, 4, 0, -1, -2, 1, 1, -1, 0, 0, -1, 1, 1, 2, 1, 0, 0, -1, -1, -1, 0, -1, -1, 0, 4, 0, -1, -1, -2, 0, 0, 1, 0, -1, 0, 0, -1, -1, 2, -1, -1, -1, -1, 1, -1, -1, 0, 4, 0, 0, -1, 0, 2, 0, 2, -1, -2, 0, 0, -1, -1, 1, 0, 1, 2, -1, 0, -2, -1, 0, 4, -1, 1, 1, -1, 0, -1, 1, 1, -1, -1, 0, 0, -1, 0, 1, 0, 1, -1, 1, -1, 0, -1, 4, 0, -2, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 0, 0, 2, 1, -2, -1, 1, 0, 4, 0, -1, 0, 1, -1, -1, 1, 1, 0, 0, 1, 0, -1, 0, -1, 1, -1, 0, 0, 1, -2, 0, 4, 0, -1, -1, 0, 0, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 2, -1, 1, -1, 0, 4, -1, -1, 1, 1, 0, -1, 1, 0, -1, -1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 1, 2, -2, 0, 1, 0, 1, -1, 2, 1, 0, 0, -1, 1, 0, 1, -1, -1, 1, 4, -2, -1, -1, 1, -1, 0, 2, -1, 1, -2, 0, -1, 0, 0, 0, -1, -1, 2, -2, -2, -1, -2, 4, 0, 0, -1, 2, -1, -2, -1, -2, 0, 1, 1, 0, 1, 1, -1, -1, -2, 1, 1, 2, -1, 0, 4, 2, 1, -1, 0, 0, 1, 1, 1, 0, 2, 1, -1, -1, 1, 0, 0, 0, 1, 1, -1, 0, 2, 4, 1, -1, 1, -1, 2, 1, 0, 1, 1, 0, -1, -2, 0, 0, -1, 0, 0, 2, 1, -1, 1, 1, 4, 0, 1, 1, -1, 0, 0, 2, -1, -1, 0, -2, 1, 1, 1, -1, -2, -2, -1, 2, -1, -1, 0, 6, -2, 0, -2, -2, -1, -1, -1, 0, 2, -1, 1, -1, 0, 2, 2, 0, 0, -1, 0, 1, 1, -2, 4, -1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 2, -1, -1, -1, 1, 2, -2, 0, -1, 1, 0, -1, 4, -1, 1, -1, 0, -1, -1, 0, -1, 1, -1, 2, -1, 0, 0, -1, -1, 1, 2, -1, -2, 1, -1, 4, 1, 1, 0, 1, 1, -1, 0, 0, 1, -1, 0, 0, 1, 1, -2, 1, 1, 0, -2, 0, 1, 1, 4, 0, 0, 0, 1, -2, -1, 0, 0, 1, 0, -1, -1, -2, 0, 1, 0, 0, -1, 0, -1, 1, 0, 6, -2, -1, -1, -2, 1, 1, 2, -1, 0, -1, 2, 0, 1, 0, 1, 2, -1, 1, 0, 0, 0, -2, 6, 0, -1, 0, -1, 0, 0, 0, -1, -1, 1, -1, 1, 2, 1, -1, -1, 0, -1, 1, 0, -1, 0, 4, 1, 1, 1, 0, -1, -1, 1, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 1, 1, -1, -1, 1, 4, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, -1, -1, 0, 2, -1, 0, -1, -2, -2, 0, 1, 0, 4, 1, 0, -1, 0, 1, 1, -1, 0, 1, -1, -2, -2, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 4, -1, 0, -1, 0, 0, 1, -1, -1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, 4, 1, 1, 1, 1, 0, -1, -1, 0, 0, 1, -1, 2, -1, 1, 0, 2, 0, -1, 0, -1, 0, 1, 4, -1, 0, -1, 1, 2, -2, 0, -1, 1, 0, -1, 2, -1, 1, -1, 0, -1, 0, 0, -1, 1, -1, 4, 0, 0, -1, -2, 1, 0, 0, -1, 2, -1, -1, 0, 0, 0, -1, 1, 1, 1, 0, 1, 0, 0, 4, 1, -1, -2, 1, 1, 0, -2, 2, -1, 0, 0, -1, -1, -1, 1, 1, 1, 0, 1, -1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, 1, 1, 0, 1, -2, 1, -1, 2, 1, 1, -1, 2, -1, -1, 1, -2, 1, 1, 4, 2, 1, 0, 2, 2, -1, 0, -2, 2, -2, 1, -1, 1, -2, 1, 0, -2, 0, -1, -1, 2, 2, 4, -1, 1, 1, 2, -1, 1, -1, 2, -1, 2, 0, 1, -2, 2, -1, -2, 1, -2, 0, -2, 1, -1, 4, 0, 1, 0, -1, 0, 1, 0, -1, -1, -1, -1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 1, 0, 4, 0, 1, 1, 0, 1, 2, 0, 1, 1, -1, 0, 0, -2, 0, 2, -2, -1, 1, 2, 1, 1, 0, 4, 1, 0, 0, -2, 0, -2, 1, 0, 1, 0, 0, 1, -1, -1, 0, -1, 1, 2, 2, 0, 1, 1, 4, -1, -1, -1, 1, -1, 1, -1, 0, -1, 0, 0, -2, 0, 0, 0, 0, -1, -1, -1, 1, 0, -1, 4, -1, 1, 1, 0, 1, 2, 1, 2, -1, 1, 2, -1, 0, -1, 1, 0, 1, 0, 0, 0, -1, -1, 4, -1, 1, -1, 1, 1, 1, -1, 2, -1, 0, 1, -2, 1, -2, -2, -1, 1, 1, -2, -1, 1, -1, 6, 1, 2, -1, 1, -1, 1, 0, -1, 1, 1, 2, -1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 6, -2, 2, 2, 2, -1, 2, -1, 0, 1, -1, -2, -1, -2, -1, -1, 0, -2, -1, 0, -1, 2, -2, 4, -1, -1, -2, 1, -1, -1, 0, 1, 1, 0, 2, 1, 2, -1, 1, 1, 1, 1, 1, -1, 2, -1, 4, 1, 1, 0, 1, -1, -1, 0, -1, 0, 1, -1, 0, -1, 1, 0, -1, 2, 1, 1, 2, -1, 1, 4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, -1, -1, 1, 0, 1, 1, -1, 2, -2, 1, 1, 4, -1, 1, 1, 1, -1, -1, 0, -1, -2, -2, 0, 0, 0, -1, 2, -1, 1, -1, 1, 0, 1, -1, 4, -1, 1, 1, -1, 2, 0, 2, 1, 2, -1, 0, 0, 0, -1, 2, 0, 2, -1, 1, 1, 1, -1, 4, -1, -1, 1, -1, 1, -1, 0, -1, 0, -2, 1, 0, 1, -1, -1, -1, -1, -1, 0, 1, 1, -1, 4, 1, -2, 2, 0, -1, -2, -2, 0, 0, -1, -2, 2, 0, 1, 0, 0, -1, 1, 1, 1, -1, 1, 4, -1, 0, 0, 1, 0, 1, 0, 2, -1, 0, -1, 1, 1, 1, 1, 0, 0, -1, -1, 1, -2, -1, 4, -1, 0, -2, -1, -2, 1, -2, 0, 0, 0, -2, 2, -1, 1, -1, 0, -1, 2, -1, 2, 0, -1, 6, -1, 1, -1, 0, -1, -1, -1, 0, -1, 1, -1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, -1, 0, 0, -1, -1, 1, -1, 1, 0, 2, 1, 1, 2, 0, -2, 0, 0, -2, 4, -2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 2, -2, 4, -2, -1, -1, 1, -1, -1, -1, 0, 0, 0, 1, 1, 0, 1, 1, -1, -1, 0, 1, -2, 2, -2, 4, 1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, -1, 1, 1, 1, 0, 1, 0, -1, 1, 6, -2, 0, 3, -2, -1, 0, -1, 2, 0, 3, 1, -2, 1, 2, -1, 0, -1, -1, 2, -1, 0, -2, 6, -2, -1, 1, 3, -1, 2, 0, -2, -2, 1, -1, 1, 0, -1, 2, 2, 0, 0, 1, -1, 0, -2, 4, -1, 0, -1, 0, 0, 1, 2, -1, -2, 1, -1, 0, 1, -1, 0, 0, 0, -1, 1, 3, -1, -1, 4, 0, -1, -1, 0, 0, -1, 1, 1, -2, 0, 0, 0, 0, 0, -1, 1, -1, 0, -2, 1, 0, 0, 4, 0, 1, 1, -1, 0, -2, 0, 1, -1, -1, 1, 1, 1, -1, 1, -1, 0, -1, 3, -1, -1, 0, 4, 0, 0, 1, -2, -2, 1, -1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, 0, -1, 1, 0, 4, -1, 0, 1, 1, 0, 1, 1, 0, -1, 0, -1, -1, 0, 0, 0, -1, 2, 0, 0, 1, 0, -1, 4, -1, 0, -1, 0, -1, -1, -1, 0, 1, 2, 1, 0, 0, -1, 2, 0, 1, 0, -1, 1, 0, -1, 4, -1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, -2, 2, -1, 0, -2, 1, 0, -1, 4, 0, -1, 1, 0, -1, 0, 0, 0, 2, -2, 1, 0, 3, -2, -1, 1, -2, -2, 1, -1, 1, 0, 6, 0, -1, 1, 2, -1, -1, 0, 1, 0, 0, 1, 1, 1, -2, 1, 0, 1, 0, 0, 0, -1, 0, 4, 0, 1, 0, -1, 2, 1, 1, 0, 1, -1, -2, -1, 1, -2, 1, -1, 1, -1, 0, 1, -1, 0, 4, 0, -1, 0, 0, 0, 2, 0, 1, -1, 1, 1, -1, 0, -1, 0, 1, -1, 0, 0, 1, 1, 0, 4, 0, -2, 1, 0, 0, 0, -1, 1, 2, 0, 0, 0, -1, 1, 0, -1, 2, -1, 2, 0, -1, 0, 4, 0, 0, 0, -2, 0, -1, 1, -1, -1, 1, 0, 1, 0, -1, 0, 0, 0, -1, -1, 0, -2, 0, 4, 0, 0, 0, 1, 0, 1, 0, 2, -1, 0, 1, 1, 0, 1, 0, 0, -1, 2, 0, 1, 0, 0, 4, 1, 0, 0, 1, 0, -1, 2, 0, 0, 1, 0, -1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, -2, 1, 2, -1, -1, 2, -1, -1, 2, 1, 0, 0, 2, 1, 1, -1, -1, 0, 1, 4, 0, -1, 1, 0, 2, -1, 1, 1, -1, -2, 1, 1, -1, 0, 2, -1, 2, 0, 1, 1, -2, 0, 4, -2, 2, -1, -2, 0, 1, 0, 1, 0, -2, 0, 1, -1, -1, 0, 1, 2, 0, 0, 2, -1, -2, 4, -2, 0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 1, 1, 0, 0, -2, 0, 0, -2, 1, 2, -2, 4, 0, -1, 1, 2, -1, 0, 0, -1, 0, 0, -1, 0, -1, 0, 2, 1, 1, 1, 0, -1, 0, 0, 4, 1, 1, 0, 0, -1, 1, 2, 1, -1, -1, 1, 1, 1, 1, -1, 1, 2, 2, -2, 0, -1, 1, 6, 1, -2, 0, -2, 0, 1, -1, -1, 1, 0, -1, 1, 1, 1, 2, -1, -1, 0, 0, 1, 1, 1, 4, -1, -2, -1, 2, 0, -1, -1, 1, -2, 0, 0, 2, 0, 1, -1, 1, 1, 0, 2, 0, -2, -1, 4, 0, 0, -1, 0, 2, -1, -1, 2, -1, 1, -1, 1, 0, 2, 1, 0, 1, -1, 0, 0, -2, 0, 4, 0, -1, 0, 2, 1, -1, 2, 1, 0, 0, -1, -1, -1, -1, 1, 0, 0, -1, -2, -1, 0, 0, 4, -1, -1, -1, 0, -1, -1, 1, 0, -1, 0, 0, -1, -2, 0, 0, 0, 1, 0, 2, -1, -1, -1, 4, -1, 0, 1, 0, -1, 0, -2, 1, 0, 0, 2, 1, -2, 1, -1, 2, 1, 0, 0, 0, -1, -1, 4, 1, -2, 1, 2, 0, 1, -1, 0, 1, 1, 1, 0, 1, 0, 1, -1, -1, 2, 2, -1, 0, 1, 4, 0, -1, 3, 0, 1, -1, 0, -1, 0, -1, 1, -1, 0, -1, -1, -1, -1, 1, 0, 1, -2, 0, 4, -1, 0, 1, -2, 1, -1, -2, 0, 0, -1, 1, -1, -1, 1, 1, -1, -1, -1, 0, 1, -1, -1, 4, 0, -1, -1, 0, 1, 1, 2, 2, -1, 1, 0, 1, 0, -2, 2, 2, -1, -1, 2, 3, 0, 0, 6, -1, 1, -2, 1, 0, 1, -1, 0, 0, -1, 1, -1, 0, -1, 1, 1, 0, 0, 0, 1, -1, -1, 4, 0, 1, -2, -1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, -2, 1, 1, -2, -1, 1, 0, 6, -1, 0, 1, -1, 0, 2, -2, 2, 1, 1, 2, -1, 0, -1, 1, -1, -1, 1, 0, -2, 1, -1, 6, 0, 1, -1, 1, 0, 0, 1, -1, 1, 0, 1, -1, 0, 0, 0, 0, -1, 1, 1, -2, 0, 0, 4, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, -1, 0, 0, 1, -1, -2, 1, 0, -1, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 1, -2, 1, 2, 2, -1, 0, -1, -1, 1, 0, -1, 0, -1, 1, 2, -1, -1, 1, 2, 4, 1, -1, -1, 1, 1, 2, -1, 0, 0, -1, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, 2, 1, 4, -1, -2, -1, 0, 1, -2, 0, 0, 0, 0, -1, -1, -1, 1, 2, 0, 0, -1, 0, 1, -1, -1, 4, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1, -1, 1, 0, -1, 0, -2, -1, -2, 0, 4, 0, 0, -1, 0, -1, 0, 1, -1, 1, 1, 1, 0, 0, -1, 0, 1, 1, 1, 1, -1, 0, 0, 4, 0, 1, 0, 1, 0, -1, 1, 2, 1, -1, -1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 4, 1, 1, 0, -2, -1, 1, 0, -1, 0, 0, 0, 1, -2, -1, 1, 2, 2, 1, 0, -1, 1, 1, 4, 0, 1, -1, -2, 0, 1, 1, 0, 0, 0, 2, -1, -1, 0, -1, -1, -2, 0, 0, 0, 1, 0, 6, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 1, 0, 4, -1, -2, 1, 1, 0, -1, 1, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, 0, -2, -1, 0, -1, 4, 0, -1, -1, 1, 0, 0, 0, -1, 2, 0, 0, -1, -1, 0, -1, 1, -1, -1, -2, 0, -2, 0, 4, 0, -1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, 0, -1, 1, -1, 0, 4, -1, 0, -1, 0, -1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 2, 0, 1, 0, 1, -1, -1, -1, 4, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, -1, -1, 1, 1, -1, 1, 1, 0, 1, -1, 0, 0, 4, 0, -1, -1, 1, 1, 0, 1, 0, -1, -1, 1, 1, -1, 0, 0, 1, -1, 0, 0, -1, 0, 0, 4, -1, 0, 0, 0, 1, 2, -1, 1, 1, -1, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, 4, 0, -1, 0, 0, -1, 1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 4, 0, 0, 0, 1, 2, 1, 0, 1, -1, 1, 1, 2, 1, 1, -1, -1, 1, 0, 1, 0, -1, 0, 4, -1, -1, 1, -1, 0, 0, 0, 0, 0, -2, -1, 0, -1, 2, 0, -1, 0, 1, 0, 0, 0, -1, 4, 1, 0, -1, 0, -1, -1, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 1, 2, -1, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, 0, 1, 2, 1, -1, -2, 0, 1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 2, 4, 0, 0, 1, 2, 1, 0, -1, -1, 0, 0, 1, 0, -1, 0, 1, -1, 0, 0, 0, -1, -2, 0, 4, -1, 1, 1, -2, -1, 0, 0, 0, -1, -1, -2, 0, -1, -1, 1, 0, 1, -1, 0, 0, 0, -1, 4, 1, 1, -1, -1, -1, 2, 0, 1, -1, -1, 1, 1, -1, 0, 1, -2, -1, 1, 0, 1, 1, 1, 4, 0, -2, 0, 0, 0, 1, -1, -1, -1, 1, 0, 0, 0, -1, -1, 0, -1, 1, 2, 1, 1, 0, 6, -1, -1, -3, -1, -2, 0, 1, -2, -2, 2, -2, -1, 0, 1, -2, 1, 2, 1, -2, -1, -2, -1, 6, 2, 1, 0, 1, 1, 2, 2, -1, -1, 0, 0, -1, 1, 1, 1, 1, 0, -1, -1, 0, -1, 2, 4, 2, -1, 1, 0, 0, 2, 1, -1, 0, 1, -1, 1, 1, 0, -1, -1, 0, -1, 0, -3, 1, 2, 4, 1, 1, 0, -1, 1, 1, -2, 0, 2, 0, 0, 2, -1, -2, -1, 0, 2, 0, -1, 0, -1, 1, 4, 0, 0, -1, -1, 1, -1, -1, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, -2, 1, 1, 1, 0, 4, -1, 0, 1, 1, 0, 1, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, 0, 1, 0, 0, 0, -1, 4, 0, 0, -1, -1, 0, 1, 0, -1, 0, 1, 1, 1, -1, -1, -1, 1, 2, 0, -1, -1, 0, 0, 4, 0, -1, 0, 1, -2, 0, 1, 1, 0, 1, 0, -2, -1, -1, -2, 2, 2, 1, -1, 1, 0, 0, 4, 0, 0, 1, 0, -1, 0, 1, 0, -1, -1, 0, 1, 1, -2, -1, 1, 1, 1, 1, -1, -1, 0, 4, 0, 0, 0, 1, 0, 1, -1, 1, 0, -1, 1, 0, 2, -1, -1, -2, -1, 0, -1, 0, 0, 0, 4, -1, -1, 0, 0, -1, 0, 1, 1, -1, -1, 0, -2, 0, 0, 0, -1, 1, 0, 1, 1, 0, -1, 4, -1, 1, -1, 1, -1, -1, -1, 1, 0, 0, -1, 0, 1, 2, 1, 1, 1, -2, 0, 0, -1, -1, 4, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, -1, 0, 1, 0, 0, 0, -1, 1, 0, 1, 0, 4, -1, 0, 0, 0, 0, 1, -2, -1, 1, 1, 1, 0, -1, -1, -1, 1, 0, 0, 0, -1, 0, -1, 4, 1, 0, 0, 0, -1, -1, 0, -2, 1, 1, 2, 0, 0, 0, 1, 1, 1, -1, 1, 0, 0, 1, 4, -2, 0, -1, 0, 1, -1, 1, 1, 0, -1, 1, 0, 1, 0, 0, -1, 0, -1, 1, 0, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, -1, -1, 2, -1, 2, -1, -1, -1, -2, 0, -2, 0, 1, 0, -1, -1, 0, -2, 4, -2, 2, 1, 1, -1, -1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, -2, 4, -2, -1, -1, -1, 2, -2, 1, -2, 1, -2, -1, -1, -1, -1, 0, 1, 0, -2, 1, -2, 2, -2, 4, 1, 2, -1, -1, 1, -1, 1, 1, 0, 0, 0, 2, 0, -1, -1, 0, 1, 1, 0, 1, -1, 1, 4, 2, -2, -1, 2, 1, 2, 1, 2, 0, -1, 2, 1, -1, 1, 1, 2, -1, -1, 1, -1, 2, 2, 4, -2, -2, 2, 1, 2, 2, 0, 0, 0, 1, 0, -2, 1, 0, 2, -1, -1, -1, -1, -1, -2, -2, 8, 2, 2, -4, 0, -2, 2, 0, -1, 1, -1, 0, 0, 2, -3, 2, 2, -1, 2, -1, -1, -2, 2, 6, -1, -2, -2, -1, -1, -2, -1, -1, -2, 1, -1, 0, -2, 1, -1, 1, -2, 1, 2, 2, 2, -1, 6, -2, 2, 0, 3, 1, 0, 3, 1, -2, 2, 2, 1, -1, 2, 0, 1, -1, 1, 1, -4, -2, -2, 6, 1, 1, 0, -1, 1, -2, 0, 1, 1, -1, 2, 0, -1, 2, -2, 1, 2, 2, 0, -2, 2, 1, 4, 0, 3, 0, 0, 1, 1, -1, 1, 1, 2, -1, -1, 0, 1, 1, 1, 2, -2, -1, 0, 1, 0, 4, -1, 1, -1, 1, 0, -2, 1, 1, 0, 1, -1, 2, -2, 0, 2, 0, 2, -1, 3, 0, 3, -1, 6, 0, 0, 2, 1, 0, 1, 2, 2, 0, -2, 0, -1, 0, 0, 0, 0, -2, 1, -1, 0, 1, 0, 4, 0, 0, 1, -1, 1, 1, 0, -1, 0, 0, -1, 0, -1, 0, -1, -1, 0, 1, 0, -1, 0, 0, 4, -1, 1, 1, -1, -1, 2, -1, -2, 2, -1, 2, 2, 1, 1, -1, 3, -2, 1, 1, 2, 0, -1, 6, 1, -2, 1, 2, 0, 2, 0, 0, -1, 0, 1, 0, -1, -2, 1, 0, 1, 0, 1, 1, 1, 1, 4, 0, 0, 0, 1, -1, 1, 0, 0, -1, -1, -2, 0, 1, -2, 1, -1, -2, 0, -1, 1, -2, 0, 4, -1, -1, 1, 0, 0, 0, 1, -1, 1, 1, 0, -1, 2, 1, 1, 1, 1, 1, -1, 1, 0, -1, 4, 1, 0, 0, -1, 0, 0, 0, 1, 0, 2, 0, 2, -1, 1, 1, 2, 1, -1, 2, 0, -1, 1, 4, 0, 1, -1, 2, -2, 1, 2, 2, -3, -2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 6, -3, 0, 0, 1, 1, -1, -1, 2, 1, -1, 0, -1, 1, 0, -1, -1, 2, -1, 0, 0, 1, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 0, 1, 1, 0, -2, 1, 2, 0, 1, 0, 0, 1, 1, -1, 0, 1, 4, -1, -2, -1, 0, 1, -1, 0, 0, 1, -2, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -1, -1, 4, 0, 0, 1, 0, 2, 1, -2, 1, 2, 1, 0, -1, -2, -2, 2, 1, 1, 0, -1, -1, -2, 0, 4, 0, 0, -1, -1, 0, 0, -2, 0, 0, -1, 1, 1, -1, -1, -1, 0, -1, 1, 1, -1, 0, 0, 4, 0, 1, -1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, -2, 0, 1, 0, 1, 0, 0, 4, 1, 2, 2, -2, -1, 0, 0, 0, -1, 1, -2, 2, 1, 2, 0, -1, 2, 1, 0, -1, 1, 1, 4, 1, 0, 0, -1, -2, 1, 2, 1, 1, 0, 1, 2, 0, -1, -1, 0, -1, 2, -1, -1, 2, 1, 6, 0, -2, -1, 1, 0, 0, -1, 0, -1, 3, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 4, -2, 1, 0, 1, 1, 0, -1, -2, 0, 0, 2, 0, 0, 1, 0, -2, 0, 1, -2, 0, -2, -2, 4, 0, -1, 0, 0, 0, 1, 2, -1, -1, -1, -1, 0, 0, 1, 1, -2, 0, -1, -1, -1, 1, 0, 4, 1, 1, 0, -1, -2, 0, 0, 0, 0, 1, -1, -2, -2, 2, 0, 1, 0, -2, 1, 0, -1, 1, 6, 1, -2, 0, -1, -1, 3, 1, 1, 0, -1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 4, 0, 1, -1, 0, 0, 2, 1, 0, -1, 2, 1, 0, -1, 1, 0, 2, 0, 1, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, 1, 1, -1, 1, -1, 0, 0, -1, 0, 1, 0, 4, 1, 0, -1, 1, 0, 0, 0, 1, 0, -2, 1, 1, 1, 1, 0, -1, 1, -2, -1, -1, 0, 1, 4, 0, 1, 0, 0, -1, 0, 0, 1, -2, -1, 1, -2, 0, -1, -2, 2, 0, -1, 0, 0, 0, 0, 4, -1, 0, -2, 0, 1, 0, -1, 2, -1, 2, 2, 1, 3, 0, -1, 0, 3, 0, 0, -1, 1, -1, 6, 2, 1, -1, -1, 1, 0, 1, -1, 1, 1, 2, 2, 0, -1, 0, 1, 2, 0, 1, 0, 0, 2, 4, 0, 0, -1, 1, 0, 1, 0, 0, 2, 0, 0, 2, -1, 0, 1, 1, 0, 0, 0, -2, 1, 0, 4, 1, -1, -1, 1, 0, -1, -2, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, -1, 0, -1, 0, 1, 4, -1, 0, -1, -1, 1, 0, -1, -1, 0, 0, 0, -1, -1, -1, 1, 0, 0, 1, -1, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, -2, 0, -1, 1, 0, -1, -1, -1, 0, 1, -2, 0, 0, -1, -1, -1, 0, -2, -2, 1, 4, -1, 1, 1, 0, 2, 1, 1, 1, 0, 1, -1, 1, 0, -1, -2, 1, -1, 1, -2, -2, 0, -1, 4, -2, -2, 1, -2, -2, 0, 0, 0, 1, -1, -2, 1, -1, -1, -2, 1, -2, 2, 2, -2, 1, -2, 6, 0, 2, 2, 0, 2, 1, -1, -1, -1, 3, -1, 1, 2, 3, -2, 0, 0, -1, 0, 1, -2, 0, 4, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, -1, 0, 0, 2, 0, -2, -1, 0, 1, 2, 0, 4, 0, 0, 2, 0, 0, 1, -1, 1, 1, 0, 0, 0, -1, -1, 1, 1, 1, 2, -2, 2, 0, 0, 4, 0, 1, 0, -1, 0, 0, 0, 0, 1, 1, 2, -2, 1, -3, -2, 0, 1, -2, 0, 2, 0, 0, 4, 0, 0, 0, 1, 1, 2, -1, 0, 0, 0, 0, 2, 0, 0, -1, 1, 0, 2, 0, 2, 1, 0, 4, 0, 0, 0, -1, 2, 0, -1, -1, 1, 0, 0, -1, -1, -1, 1, 0, 1, 1, 0, 0, 0, 0, 4, 1, 1, -1, 0, 1, 1, 1, 1, -1, 1, 1, 0, -1, 0, 0, -1, 1, 0, -1, 0, 0, 1, 4, 1, -1, 0, 0, -1, 0, -1, 1, 0, 0, 1, 0, 1, 1, -1, 0, 1, 0, 1, 0, 1, 1, 4, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, 1, -1, -1, -1, 1, -1, 0, 1, -1, -1, -1, 0, 4, 1, -1, 0, 1, 0, 1, 0, 0, -1, -2, 1, -2, 3, 2, 1, 0, 2, 2, 0, 0, 0, 1, 6, -2, -1, 0, 1, 1, 1, 1, -1, 0, 0, 1, -1, 0, 1, 0, -1, 0, 1, 0, 0, -1, -2, 4, 1, -1, 0, -1, 0, 0, 1, 0, -1, -1, 1, 0, 0, 1, 0, -1, 1, -1, -1, 0, -1, 1, 4, 3, 1, -2, 1, 0, 1, -1, -2, -1, 2, -1, 0, 1, 0, -1, 1, 0, 0, 1, 0, -1, 3, 6, 1, -1, 0, 1, 2, -1, 1, -2, 3, 0, 0, 2, 0, 1, 1, -1, -1, 0, 1, 0, 1, 1, 4, -1, 1, -1, -1, -1, -1, 1, -2, 0, -1, -2, 0, 0, -1, 1, 0, 1, 1, -1, -2, -1, -1, 4, -1, 1, 1, 0, 1, -2, 0, 2, -1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, -1, 4, 0, -1, -2, -2, 2, 0, 0, 1, -3, 0, -1, 1, 0, 1, 0, 1, 0, 0, 1, -1, 1, 0, 6, 2, -2, -2, 2, -1, -2, 1, -2, 0, -1, 0, 1, 1, -1, -1, 1, 1, 2, -1, 1, -1, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 0, 0, -1, 0, -2, 2, -2, -2, -1, 1, 0, -2, -1, -2, -2, 1, 1, 1, 1, 2, 4, 1, 0, 1, -2, 1, -1, 2, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 4, 1, -1, -1, 2, 0, 1, 1, 0, -1, 1, 1, 2, 1, 1, 0, -1, 1, 0, -1, 0, 0, 1, 4, -1, 0, 1, 0, 0, 1, 0, -2, 2, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 4, -1, 0, 0, 1, -1, 0, 0, 0, 1, 1, 1, -1, 0, -1, 1, 0, 0, -1, -2, -1, 0, -1, 4, 0, 1, -2, 1, 1, 0, -1, -1, 0, 1, 0, 1, -1, -2, -1, -1, 0, 1, 2, 1, 0, 0, 4, 1, 0, 0, 0, -2, 0, 1, 1, 2, 0, 0, -1, 0, 1, 1, -2, -1, 0, 0, 0, 1, 1, 4, 0, 0, 2, 1, -1, 1, 1, 1, 1, 2, -2, 0, 0, -1, 2, 2, 1, 0, 1, -2, 0, 0, 4, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, -2, -1, 1, 1, -1, 1, 0, 0, -1, 4, 0, 0, 1, 0, 2, 0, 2, 1, 0, -1, -1, 0, -2, 0, 0, 0, 0, 1, 0, 2, -1, 0, 4, 1, -1, -1, 1, 1, 1, 2, -2, 0, 0, 0, -1, 0, -1, -2, 0, 0, -2, 1, 0, 0, 1, 4, -1, 0, 0, -1, 1, 1, 0, 1, -1, -1, 1, 1, 1, 2, 0, -1, 0, -1, 1, 1, -1, -1, 4, 1, -1, -1, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, 1, 0, -1, 0, 1, 4, 0, 0, 0, -1, 0, 1, -1, -2, -2, 0, 2, -1, 1, 0, 1, 1, 0, 2, 1, 0, -1, 0, 6, 1, 0, 1, -2, 0, 1, 0, -1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, -1, -1, 0, 1, 4, 1, 1, -2, 0, 0, 0, -2, 0, 1, 1, -1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 4, 2, 0, 0, -1, 0, -2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, -1, 1, 1, 2, 4, -1, 0, 0, 0, 1, 0, -1, 0, -1, -1, -1, -2, 0, 0, -2, 0, 1, 0, -2, -2, 0, -1, 4, -1, 0, 1, 1, 2, 1, 0, 1, -2, 0, 0, 2, -1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 4, 1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 1, -1, 0, -1, -1, -1, 1, 0, -1, 0, 0, 1, 4, 2, 1, 2, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, 1, 0, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 0, 1, -2, 1, -1, -2, 1, 1, 0, -1, 1, 0, 2, 2, 1, -2, 0, 0, -2, 4, -2, -1, 1, -1, 2, 1, 1, 2, -1, 0, 1, -1, -1, 0, -1, -2, -2, 0, -1, 1, 2, -2, 4, 1, -1, 0, -2, -1, -1, -1, 2, 0, -1, 1, 1, -1, 1, 2, 1, 0, 0, 1, 0, -1, 1, 4, -1, 1, -1, -2, -2, 0, 0, 0, -1, -1, -1, -1, 0, 1, 2, -1, 1, 0, 0, 1, -1, -1, 4, -1, 1, 2, 2, 0, 1, -1, 0, 1, 1, -1, 0, -1, 1, 0, -1, 1, 1, -1, 0, 1, -1, 4, 0, 0, 0, -1, 0, 2, 1, 0, 0, -1, -1, 0, -1, 0, 1, -1, -2, 2, -2, -1, 1, 0, 4, 0, 1, 1, 0, -1, 1, 1, -1, 0, -2, -2, -2, 1, -1, 0, 1, 1, -1, -2, 2, 0, 0, 4, 2, -1, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, -1, 1, -1, 1, -1, -2, 2, 0, 1, 2, 4, 0, 1, 0, 0, 2, 1, 0, -1, -2, -1, 2, -1, 0, -2, 2, -1, 0, 0, -1, 1, -1, 0, 4, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 2, 0, 1, 0, 0, 0, 1, -1, 4, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, -1, 2, -1, 1, 0, -1, 0, 4, 0, -2, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, 1, 0, -1, -1, 1, -1, 1, 0, 1, 0, 2, 0, 1, -2, 0, 6, 2, -1, -1, -1, 0, 2, 0, 1, 1, -1, 1, -1, 1, 0, -1, 1, 1, 0, 1, 0, 0, 2, 4, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, 0, -1, 0, 4, 1, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, -1, -2, 1, -1, 0, 0, 0, 0, -1, 1, 1, 4, 2, 2, -2, 1, 1, 2, -2, 2, 1, -1, 0, -2, -1, -2, 0, 1, 0, 0, -1, 1, 0, 2, 4, 2, -1, 2, 0, 1, -2, 1, 2, 1, -1, -2, 0, -1, 0, 0, -2, -2, 0, 1, 0, 2, 2, 6, -2, 1, 0, -2, 0, 0, -1, 0, 0, 1, -1, 2, 0, 0, 0, 0, 2, 1, 0, -2, -1, -2, 6, 0, -1, 0, -1, 0, 1, -1, 1, -1, -1, -1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 4, -1, 0, 1, 1, 0, 1, -1, 0, 1, 0, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, -2, 0, 1, -1, 0, 1, 1, -1, 0, 1, 0, -2, -2, 2, 1, 0, -1, 0, -2, 4, 0, 1, 0, 0, -1, 2, 0, 0, -2, 1, 1, -1, 1, 1, 1, -2, -1, 0, 1, 1, -2, 0, 4, 2, 2, 1, -1, 0, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 0, 1, 1, -1, -2, 1, 2, 4, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, -2, -1, 1, 2, 1, -2, 0, 2, 0, 4, -1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, -1, 0, -1, -1, -1, 0, 0, 1, 1, -1, 4, -1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, -1, 0, 0, 1, 1, -1, -1, 0, -1, -1, 4, 0, -1, -1, -1, -1, 0, 1, 0, -1, -2, 1, 0, 0, -1, 1, -1, 2, 0, 1, 0, 1, 0, 4, -1, 0, -1, 2, 1, 1, 1, 0, 1, -2, -2, -1, 1, 2, 0, 0, 1, 0, 0, 0, -1, -1, 4, 1, -1, 0, -2, 0, -1, 1, -1, 0, 2, 1, 2, -1, 1, 0, -1, 0, -1, 1, -1, 0, 1, 4, 1, 1, 1, 0, -1, 0, -1, 0, 1, -1, 1, 0, 1, -2, 1, 0, 1, 0, -1, -1, -1, 1, 6, -1, 1, 1, 0, -1, 1, 1, 1, -1, 0, -1, -1, 1, 1, 1, 0, 2, -1, 2, 0, 1, -1, 4, 1, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -2, 1, 1, 1, 4, -1, 1, -1, 1, -1, 0, -1, -1, 1, 1, -1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, -1, 4, 0, 0, -1, 0, -1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 1, 0, 4, -1, 0, -1, 0, 1, -1, 1, -2, 1, 1, 2, 0, 1, -1, 0, 1, 0, -1, 0, -1, 0, -1, 4, 1, -1, -1, 1, 2, 1, -2, 1, 1, 0, 2, 0, -2, 1, -1, -1, 1, 1, 1, -1, 0, 1, 4, -1, -1, -1, 0, 0, 2, -2, -1, -2, -1, 0, 1, -2, 0, 0, 1, -1, -1, 0, -1, -1, -1, 4, 1, 0, -1, -1, 1, -1, 0, -1, 0, -1, 0, -2, 2, 1, 1, -1, 0, -1, 0, -1, -1, 1, 4, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0, -1, 1, -1, -1, -1, -1, 0, 1, 1, -1, 0, 0, 4, 2, 0, -1, 1, 1, 2, -1, 0, -1, 1, 2, 1, 0, 0, -1, 1, -1, 2, 0, -1, 0, 2, 6, 0, 0, 1, -1, 1, -1, 1, 1, 2, -1, 0, -1, 0, 1, 1, 1, 1, 0, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, -1, 1, 2, -1, 1, -2, -1, -1, 0, -1, 0, 1, 2, -1, -1, -2, 1, -2, 1, 4, 2, 2, -2, 1, 0, 1, 1, -1, 0, 1, 1, 1, 1, 0, 0, 1, -1, 0, 0, 0, 1, 2, 4, 0, 0, 0, 1, 0, 2, 0, -1, 0, 0, 1, 1, 1, 1, 0, -2, 1, 0, 0, 1, 2, 0, 4, -2, 0, -1, 0, 1, -2, 0, 1, 0, 0, -1, -1, 0, 1, 0, -2, 0, 0, -1, -2, 0, -2, 4, 0, 0, -1, 0, 2, -1, -1, -1, 1, 0, 0, 0, -1, -1, 0, -1, 1, 1, 1, 0, 0, 0, 4, 1, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, 0, 1, -1, 0, -1, 2, 0, 1, -1, 0, 1, 4, -1, 0, -1, -1, 0, 1, 0, 0, 0, 2, 0, 0, -1, 0, -2, -1, 1, 0, 0, -1, 0, -1, 4, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, -1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 4, -1, 0, 1, 0, 0, -1, 0, 1, 0, -1, -1, 1, 1, -2, -1, 0, -2, 2, 0, -1, 0, -1, 4, 1, -1, 0, 1, 1, 0, -1, -1, -1, 1, -1, 1, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, 4, 0, 0, 0, 0, -1, -1, 0, 2, 0, 1, 0, -1, 1, 0, 1, -1, 0, 0, 2, 1, -1, 0, 4, 0, 0, 0, -1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, 4, -1, -1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, 4, 0, -1, -1, 0, -1, 1, 0, 1, 0, 1, 1, -1, 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 4, 1, 0, 0, -1, 2, 0, 0, 1, 0, 1, -1, 0, -1, 0, 1, 0, 0, -1, -1, 0, -1, 1, 4, 1, 0, -2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, -1, -1, 0, 0, -1, 0, 1, 4, 1, -1, -2, 1, -2, -1, 1, 0, 1, -1, 0, 0, 2, 0, -1, 0, 2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 0, -1, -1, -2, 0, -1, 1, 0, -1, -1, -1, 2, 1, 1, -1, -1, -2, -1, 0, 6, 0, 1, 0, -2, 0, 1, -2, 0, -1, -1, 0, -1, 1, 0, 0, -1, 1, 2, 0, -2, 0, 0, 6, 1, 1, 1, 0, 0, 0, -1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 4, -1, -2, 0, 0, 0, 1, -1, -2, 1, 1, 1, 0, 1, 0, 1, 0, 0, -2, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 2, 1, 1, 2, -1, -1, -2, -1, 1, 0, 2, 2, 0, -1, -1, -1, -2, -2, 4, 2, -1, 1, -1, -1, -1, -2, 2, 1, 1, 1, 0, 0, -2, -2, -1, 2, 0, 1, 1, -2, 2, 4, 0, 2, -1, -1, -1, -2, 1, 0, 1, 1, 1, 1, -1, -1, -1, 2, 0, 1, 1, 1, -1, 0, 4, 0, -1, 0, 1, 2, -1, 1, 1, 0, 1, -1, 0, 2, 0, 0, -1, 0, -2, -1, 1, 2, 0, 4, 1, 1, -2, -1, 2, 0, -1, 2, -1, -1, -2, -2, 1, 1, 0, -1, 2, 2, -1, -1, -1, 1, 6, 1, -2, 1, 0, -2, -4, 1, 0, 0, 2, -1, 1, -2, 1, -2, 0, 1, -1, -1, 0, 1, 1, 4, -1, 0, 1, -1, -2, 1, 0, -1, -1, 1, 2, 0, 1, -2, -1, 1, -1, -1, 1, -2, -2, -1, 4, 1, -2, 0, 2, -1, 0, 1, 0, 1, -1, 0, -1, 0, -2, 2, -2, -2, 2, -1, 1, 0, 1, 4, -2, 0, 0, -1, 0, 0, 2, 2, 0, -1, -1, 0, -2, -1, 2, 1, -1, 2, 0, 1, -2, -2, 4, 1, -1, 1, -1, -1, -2, -1, 0, 1, 1, 0, 2, -1, 1, 0, 1, 0, -2, -1, 0, 0, 1, 4, 1, -1, -1, -1, -1, 1, 0, 0, 0, 1, 0, -2, 1, 1, 1, -1, -4, -2, 2, 0, -1, 1, 6, 0, 0, 1, 0, 1, -1, 2, 0, 2, -1, -1, 1, 1, 0, 2, 1, 1, -1, -1, 1, -1, 0, 4, -1, 0, -2, -2, 0, 0, 1, -1, 1, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, -1, 0, -1, 4, 1, 2, 2, 0, 1, -1, 1, -2, 0, 0, 1, -1, -1, 0, -1, 1, 0, -1, -1, 1, 0, 1, 4, 1, 1, -2, 0, 0, 1, -1, 2, -2, -1, 0, -2, 2, -1, 0, 2, -2, -1, 0, -2, 2, 1, 6, 3, 0, -1, 0, 1, -1, 2, -2, -1, 2, -2, -1, 1, 1, 2, -1, 1, 1, -2, 2, 1, 3, 6, 0, 0, 0, 1, -3, 0, -1, -1, 0, 1, 1, 2, -1, 0, 0, 0, -1, 0, 0, -2, 0, 0, 4, 0, 1, -1, 0, -1, 2, 2, 0, 1, -2, 0, 0, -1, 1, 0, 2, 0, 1, 0, -1, 0, 0, 4, -1, 1, 0, -1, 0, 0, -1, 0, 1, 1, -1, -1, 1, 0, 0, 1, -1, 0, 0, 0, 1, -1, 4, 0, 0, -1, 1, 1, 0, -1, -2, -2, 0, 0, 0, 1, 2, -1, 1, 1, 1, 1, -1, 1, 0, 4, 0, -2, 1, 1, -2, 2, 0, -1, -2, -2, 2, 0, -1, 1, -2, -1, -1, -3, 0, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, -2, 0, -1, 0, 1, 0, 0, -1, 1, -1, -2, -1, 2, -1, 2, 0, 1, 0, 0, 4, -1, -1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, -1, -1, 0, 1, -1, 1, 1, 2, 1, -1, 4, 0, 0, -2, 1, 0, -1, -1, 1, -1, 1, 0, 1, 1, -1, 1, 2, -1, 0, 0, 2, -1, 0, 4, -2, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 1, -1, 2, 0, 0, 0, -2, 1, 0, -2, 4, 1, 2, -1, 0, -1, 0, 1, -1, 1, 2, 0, -2, 0, -1, 1, 1, 1, 0, 1, -2, 0, 1, 4, -1, -1, 0, 1, -1, 0, -1, 1, -1, 0, 1, -1, -1, 2, 1, 1, -1, 1, 1, 0, 2, -1, 6, -1, -1, 0, -1, 2, 1, 1, 2, -1, -1, 2, 0, -1, 0, 2, 0, 0, 0, 1, -1, -1, -1, 4, -1, -1, 0, 1, 1, 0, -1, -1, -1, 1, 1, -1, 0, 0, 1, 1, -1, 0, 0, 0, -1, -1, 4, 1, 0, -1, -1, -1, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1, 1, -1, 1, 0, -1, 1, 4, -1, -1, 0, 0, -1, 0, 1, 0, -1, 1, -1, 1, 0, 0, 1, 0, 0, -1, -1, 0, 0, -1, 4, -1, 0, 1, 1, 1, -1, -1, 1, 1, 0, 0, -1, 1, -1, 0, 1, 0, 2, 1, -1, -1, -1, 4, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, 1, 1, 0, -1, -1, 1, 1, -1, 0, 0, 1, 4, 0, -2, 0, 1, 1, 1, -1, -1, 1, -1, 2, 0, -1, 1, 1, 1, 0, -1, 0, 1, 0, 0, 4, 0, 0, -1, 1, -1, 1, 1, 2, -2, -1, 1, 0, 2, -1, 2, -1, -1, -1, 1, 1, -2, 0, 6, 1, -2, 0, 0, -1, 1, -1, -1, -1, 1, -1, 0, 0, -1, -1, 0, 0, 1, -1, 0, 0, 1, 4, 0, 0, 0, 0, -1, 0, 2, 0, -1, 1, -2, 1, -1, -1, 0, 1, -1, 0, 1, -1, -2, 0, 4, -1, 0, 0, 0, 0, -1, 1, 1, -1, 0, -1, 2, 1, -1, 0, -1, 1, 1, 1, 0, 0, -1, 4, 0, -1, 0, 1, 2, -1, 2, 2, -1, -1, 0, 1, 0, -1, 1, 0, 1, -1, 0, 0, 0, 0, 4, -1, 0, 0, 0, 1, -1, 0, 1, 2, -1, -1, 1, 1, 1, -1, -1, 1, -1, 0, 0, -1, -1, 4, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, -1, 1, 1, -1, 0, 0, 0, 1, 4, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, -1, 0, 0, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 1, 2, 2, 0, 1, -1, 2, 0, 2, -1, 1, -1, 0, 0, 1, -1, 0, 1, 4, -2, -1, 1, 0, 1, -1, 1, 0, -2, 2, 1, 1, -2, -1, 0, 0, -1, 0, 1, 0, -1, -2, 4, 2, -2, 0, -1, 1, 1, 0, 1, 0, 0, -1, 2, 0, 1, 1, 0, 0, -1, 0, -2, -1, 2, 6, 0, -1, 0, -1, 2, -1, 1, 0, -1, 0, -1, -2, -1, 1, 2, -1, 0, -1, 1, 1, -2, 0, 6, -2, 2, -1, -2, -2, -1, -1, -1, 2, -3, 1, -3, -2, 0, -2, -1, 1, 1, 0, 0, -1, -2, 4, 1, 2, 2, 2, -1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, -1, 2, 1, -1, 0, 2, 1, 4, 1, 1, 0, -2, 2, -1, 2, -2, 1, -2, 0, 0, 0, -1, -1, 2, -1, 1, -1, -1, 2, 1, 4, 0, 2, 0, 2, -1, 1, 1, 1, 0, 1, 0, 1, -1, -1, 0, 1, 1, 2, -2, 2, 1, 0, 6, 0, -2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, -1, -2, 2, 0, 2, 0, 4, 1, 2, 0, 1, 2, -1, 0, 0, 0, 2, 0, -2, -1, -2, 1, 1, -1, -1, -2, 0, -2, 1, 4, -2, -1, -1, 1, -1, 0, 0, 0, 0, 0, -1, 2, 2, 0, 0, -1, 2, 2, 2, 2, 2, -2, 6, 1, 2, -1, -1, 0, 1, 1, 2, -1, -1, 0, 1, 0, -1, -1, 0, -1, -1, 1, 0, -1, 1, 4, -1, 1, -1, 2, -1, 1, 1, 1, 1, 2, 1, -1, 0, 2, 0, 2, 1, 0, 1, -1, 2, -1, 4, -2, 0, -2, 0, 0, 0, -1, 0, -1, -2, 2, -1, -3, 2, -2, 1, 0, 2, 1, -1, 1, -2, 6, 1, 1, -1, 0, 2, 1, -1, 1, -1, 0, -2, 1, 1, 1, 1, 0, -1, -1, -1, -1, 0, 1, 4, -1, 0, -1, 0, -1, 1, -1, 0, 1, -1, -3, 0, -2, 0, 1, 0, 0, 0, 2, -2, 1, -1, 4, 1, 0, 0, 1, 1, 0, 0, 1, 1, -2, 0, 0, 1, 2, 0, 0, 1, -1, 0, -1, 0, 1, 4, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 4, 0, 0, 0, 1, 0, 0, -1, -2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 4, 1, -1, -1, 1, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, 1, -1, 1, -1, 1, 0, 0, 1, 4, -1, 0, 0, 0, -1, 1, -1, -1, -1, 0, -2, -1, -1, 1, 0, -1, 1, 1, 0, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, -2, 1, 0, -1, 1, 0, 0, -1, 0, -1, -2, -2, 1, 2, 2, 1, -1, 1, 0, 2, 4, -2, -1, -1, -1, 1, 0, -1, -1, 0, 1, -1, 0, -2, 1, 0, 2, 0, -2, 2, 1, -2, -2, 4, 1, 1, -1, 1, -1, 0, 0, 1, -1, 0, 1, 2, 0, 0, -2, 0, 0, -2, 0, -2, -1, 1, 6, -3, 1, 1, -2, 1, 1, 1, 1, -1, 2, -1, -1, 1, -1, -1, 3, 2, 0, 1, -1, 1, -3, 6, 1, -2, 1, 1, 1, -2, -2, 2, -1, 2, 2, 1, -1, 2, 0, -1, 0, 0, -1, -1, 1, 1, 4, -2, 1, 2, 2, -2, -1, 0, 0, 0, 1, 0, 0, 0, 2, 2, -1, -1, 1, 1, 1, -2, -2, 4, -1, -2, -2, 2, 0, -1, 1, -1, 0, -1, -1, 0, -2, 0, 0, 1, 0, -1, -2, 1, 1, -1, 4, 1, -1, -1, -1, 0, -2, 1, 1, 0, 1, -1, -1, -1, 0, 0, -1, 0, 1, 1, 2, -2, 1, 4, 2, -2, -1, 1, 0, 0, 1, 0, 1, 0, 2, 0, -1, 0, -1, 0, 1, 1, 2, -2, -1, 2, 4, -1, -1, 1, 1, 0, 0, 1, 0, 0, 2, 1, -1, -1, 0, 1, 1, -2, -2, 2, -1, -2, -1, 4, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, 0, 0, 1, -1, 1, -2, -1, 0, -1, -1, -1, 0, 4, -1, 1, 0, -1, -1, 1, -1, 0, 1, 2, -1, -1, 0, -1, 2, 0, -1, 0, 1, 1, -1, -1, 4, 0, 1, 0, 0, -1, 1, 1, -1, 0, -2, 0, 1, 2, -1, 0, 1, -2, 0, 1, 0, 1, 0, 4, 1, 0, -2, -1, -1, 0, 1, 1, -2, -2, 2, -1, 2, 0, -1, 1, 0, 0, 0, 0, 1, 1, 6, 1, -2, -2, -2, -1, -2, 2, 1, 1, 0, -1, 2, 1, 0, 1, 1, 0, -1, -1, 0, 0, 1, 4, 0, 0, 0, -1, 1, 1, 2, 0, 0, 1, 1, 0, -1, 0, 0, 1, 1, -1, 0, -2, -2, 0, 6, 0, 1, 2, 1, 0, 2, 2, -2, -1, -1, 0, -1, 1, 1, 0, -1, 1, -1, -1, -2, 0, 0, 4, 0, 0, 1, 0, 1, 0, 0, -1, 2, 0, 0, -1, 0, 0, -1, -1, 1, -1, -2, 0, 1, 0, 4, 0, 0, -1, -1, -2, 0, 3, 0, 2, -2, -1, 2, 2, 0, 0, 1, 0, -1, -1, 2, 0, 0, 6, 2, -1, 1, 2, -2, 2, -1, 2, 0, -1, 0, 1, 0, 1, -1, 1, -2, 1, 1, 1, 0, 2, 6, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, -1, 0, 2, 0, 1, 2, 1, 0, 0, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, -1, 1, 2, 2, 1, -2, -1, 1, 2, 0, 2, -1, -1, 1, -1, 1, -1, 0, 1, 4, 0, 2, 0, 2, 2, 0, 2, -1, 0, 0, -1, -1, 0, 0, -1, 2, -2, 2, 0, 1, -1, 0, 4, 1, 0, 0, -1, 0, 1, 2, 1, 0, -2, 1, 0, -1, 2, 0, 1, 1, 0, -1, 1, 2, 1, 4, 0, 0, 0, 1, 2, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 2, 0, 1, -1, 0, 0, 0, 4, -2, -2, -1, 0, 0, 2, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, 1, 1, 2, 0, 0, -2, 6, 2, 0, 2, -1, -1, 2, 1, 0, 1, -1, 0, 0, -2, 1, 2, -1, 2, 2, -1, 0, -2, 2, 6, 2, 0, -1, -2, 0, -1, -1, 2, 0, 1, 2, -2, 0, -1, 1, 2, 0, 0, 1, -1, 0, 2, 4, 0, 0, -2, -1, 0, 0, 2, 0, 0, 0, -1, 0, -1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 4, -1, 0, 1, 0, 1, 1, 0, -1, 0, 0, 2, 0, -1, -2, -1, 2, 1, 0, -1, -1, 0, -1, 4, 0, -1, -1, 1, -1, 0, 1, -1, 1, 0, 1, 0, -1, 0, 1, 0, 2, -1, -2, -2, 0, 0, 4, 0, -1, -1, -2, -1, 0, 1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 2, 0, -1, 1, -1, 0, 4, 2, 1, 0, -2, 0, 0, 0, 0, 1, -2, 2, -1, -2, 0, -1, 1, -1, 0, 0, -1, -1, 2, 6, 2, 0, -1, -1, -1, 1, -1, 1, -1, 0, -1, 1, 1, -1, 0, -1, 0, 1, 1, -1, 1, 2, 4, 0, 0, 1, -2, 2, 0, 1, -1, 2, 0, 0, 0, -1, 1, 2, 2, 1, -1, -2, 0, 0, 0, 4, 0, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, -1, -2, -1, 0, 0, 4, 0, -1, 0, 0, 0, 1, -1, -1, 2, -1, -1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, 0, 4, 0, 1, -1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, -1, 1, 0, -1, -2, 0, -1, 0, 4, -1, 1, -1, 1, -1, -2, 1, 0, 0, -2, -2, -1, 0, 1, 1, 0, 1, 2, -1, 0, 1, -1, 4, -1, 0, -1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, -1, 0, 0, 0, -1, 1, -1, 4, 1, 0, -1, 0, 0, 0, -1, 2, -1, -1, 0, 1, 0, 1, 1, 1, -1, 0, 0, -1, 0, 1, 4, -1, 0, 1, -1, 1, 1, -1, 1, 1, -1, 0, 0, -2, -1, -1, 0, 1, 0, 1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, -1, 1, -2, -1, 0, -2, -1, -1, -1, 0, -1, 2, -1, 0, 0, -2, 1, -2, 4, 2, 1, -1, 0, 0, 2, 0, 1, 1, 1, 1, -1, -1, 0, -1, -1, 1, -1, 0, -1, -2, 2, 4, -1, -1, 1, 1, 1, 1, 1, 1, 2, 1, 0, -1, 1, -2, -1, 1, -1, 1, -1, 1, 1, -1, 4, 0, -2, 1, 1, -2, 0, -1, -1, 1, -2, 0, 0, 1, -1, 1, 0, -2, -1, 1, -1, -1, 0, 4, 0, 1, -2, -1, -1, -1, 1, 1, 0, 1, 0, 2, -1, -2, -1, -1, 1, -1, 0, 1, -2, 0, 4, -1, 1, 2, 0, 1, 1, 0, 0, 1, 1, -1, 1, -1, 1, 0, 0, 1, 0, 1, 1, 1, -1, 6, 1, 0, -1, 0, 1, 2, -1, -1, 2, -1, -1, 1, -1, 1, 1, -2, 2, 1, 1, -2, 1, 1, 6, 1, 1, 1, 1, 1, -2, 0, 1, -2, 2, 2, 1, 0, -2, -1, 0, 1, -2, -1, 2, 0, 1, 4, 1, 2, 1, -1, 0, -1, 0, -1, 1, -1, 0, 1, 0, 0, 1, 1, 0, -1, 0, -1, 1, 1, 4, -1, 1, 0, -2, -1, -1, 0, -1, 1, -1, -1, -2, -2, 1, 1, -1, -1, 1, 0, 1, 2, -1, 4, 0, -1, 1, -1, 0, -1, 1, 0, 1, 1, 0, -1, 1, 2, -1, 1, 1, 1, 1, 1, 1, 0, 4, 1, -1, -1, 1, 0, -1, 0, -1, 1, 0, -1, 1, 1, 1, 1, 0, 2, 1, -1, 0, -1, 1, 4, -1, 1, 2, -1, -1, 0, -1, 1, 0, -1, -1, 0, -2, 0, 0, -1, -2, 0, -2, 1, -1, -1, 4, 0, 0, -1, 1, -1, 0, 2, 1, 0, -1, -1, 0, 1, 1, -1, 0, -1, -1, -1, -1, 1, 0, 4, 1, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 2, 1, 0, -1, 0, 1, 2, 0, 1, 4, -1, 0, 0, 0, 2, 1, 2, -1, -2, 1, 2, -1, -1, -2, -1, 0, -1, 0, -1, -1, 0, -1, 4, -1, -1, 0, -2, 1, -1, -1, -1, -1, -1, 1, -1, 2, 1, -1, 1, -1, -1, 1, 1, 0, -1, 4, 0, 2, 1, 0, 0, 1, 1, 1, -2, -1, 1, 2, -1, 1, 0, 0, 0, -1, -1, 0, -1, 0, 4, 0, 0, -1, 0, -1, -1, 0, -1, 1, -1, 1, 0, -1, 1, -1, -1, 0, 0, 0, 0, 2, 0, 4, 0, 0, -2, 0, 1, -2, -1, 0, 1, 0, 1, -1, 1, 1, 1, 2, 0, 2, -2, 1, 0, 0, 6, 1, 1, -1, -1, -1, 1, 0, 1, -2, 0, -2, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -2, 2, -1, 1, 1, -2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, -1, -1, -1, 4, 1, 0, 0, -2, 2, -2, -1, -1, -1, 1, 1, -1, 1, -1, 1, -2, -1, -1, -1, 2, -2, 1, 4, -2, 2, -1, 0, 0, -2, 0, 0, 1, 0, -1, 0, -1, 0, -2, -2, 1, 0, 2, 2, 0, -2, 4, -2, 0, 1, -1, 0, -1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, -2, 0, 2, -2, 4, -1, -1, 0, -1, 0, 1, -1, 0, 0, 0, -1, -1, -2, -2, 0, 0, 2, 2, -2, -1, 0, -1, 4, -2, 1, 0, -1, -1, 1, 0, 0, 0, 1, -1, 3, 0, 1, -1, -2, -1, 2, 0, 1, -1, -2, 4, -1, -1, 1, -1, 1, 0, 0, 0, 1, 0, -2, 1, -1, 1, 1, 1, -2, 0, -1, 0, 1, -1, 4, 1, 1, 0, 0, -1, -1, -1, 1, 0, 2, 1, 0, 0, -1, 1, -1, -2, 0, -1, 0, -1, 1, 4, 1, 1, -1, 0, 1, 0, 0, 1, 1, 1, 0, 0, -1, -2, -1, 0, -1, 0, -1, 1, 1, 1, 6, -1, -2, -1, 2, -1, 1, -2, 0, 1, 1, 1, -2, 0, -1, 0, 1, 1, -1, -1, 0, 1, -1, 6, -2, -2, 0, -2, -1, 0, -2, 0, 1, 0, 2, 1, 1, 1, 1, -1, 1, 1, 0, -1, -2, -2, 6, 0, -1, 1, 1, 1, 0, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, -2, 0, 4, 0, 2, -1, 1, 0, -1, -1, 0, 1, 0, -1, -1, 1, 0, 0, 0, -1, 1, 2, 0, -1, 0, 4, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, -1, -2, 1, 2, 1, 4, -1, 1, -1, 0, 0, -1, 0, 0, -1, -1, 1, -1, 1, 1, 1, 0, 1, -1, 1, -1, 1, -1, 4, 0, 1, 1, 0, 1, -1, 1, 1, 0, 1, -1, -1, 0, 0, 1, -2, 0, 1, 1, -1, 1, 0, 4, 0, 0, -1, 0, 1, 2, -2, -2, 0, -2, 3, -2, 2, 1, 0, -2, 0, 0, -1, -1, 1, 0, 6, 1, 0, 0, -3, 1, -1, -2, 1, -2, 0, 1, 1, 1, 1, 0, -1, -1, 1, 0, 1, 0, 1, 4, -1, 1, -1, 0, -1, 1, 0, 0, 1, -1, 0, 0, 1, 1, 1, -1, 1, 0, 0, -1, 0, -1, 4, 0, -1, -1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0, -1, 0, 1, -1, 1, 0, 0, 1, 0, 4, 0, -1, 2, 2, -1, 2, -2, 1, -1, -1, -2, 2, -1, 1, -1, 0, -1, 1, -3, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, -2, 1, -1, 0, 0, 2, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, 2, 1, -2, 0, 4, -1, -2, -1, 0, 2, 1, 0, -1, -1, 1, 0, 1, 0, 0, 1, -2, -1, 0, 1, 2, -1, -1, 4, 2, 1, 1, -2, -1, -2, 2, -1, 0, 0, -2, 1, -1, 1, 1, 1, -2, 0, -1, -2, -2, 2, 6, 1, 2, -1, 1, -3, 1, -1, -1, 1, 0, 2, 1, 2, 0, -1, 0, -1, 1, 1, -1, 1, 1, 4, -1, -1, 1, 0, 0, 0, 1, 1, 0, 0, 1, -1, 0, 0, 0, 1, -1, -1, 0, 1, 2, -1, 4, 0, 0, -2, 0, -1, -1, 1, 0, 0, 1, 1, 0, -1, 1, -1, 0, 0, 2, -2, -1, -1, 0, 4, 2, 0, -2, 0, 0, -1, 1, 0, 1, 0, -2, 0, 2, 0, 1, 0, 1, -1, 1, 1, 0, 2, 4, 0, -1, 0, 0, 1, 2, 0, 2, 0, -1, 0, 1, 0, 2, 2, 0, -2, -3, 0, -2, 0, 0, 4, -1, 1, 0, 0, 1, -2, 0, -2, 0, 1, 1, 0, -1, 0, -1, 2, 1, 0, 0, -2, -1, -1, 4, -1, 0, -1, -2, 0, -2, 1, 2, 0, -1, 0, -1, 1, -1, -1, -1, 0, -1, 0, 0, 1, -1, 4, -1, 0, 1, 0, 0, 0, 1, 1, 1, -1, 0, 1, 1, 0, -1, 1, -1, 0, 0, 0, 0, -1, 4, -1, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 1, 1, -1, 1, 0, -1, 0, -1, 4, 1, 1, 1, 0, 0, -1, 0, 1, 2, 0, 1, -2, 0, 0, 0, 1, 2, 1, -2, 1, 0, 1, 4, -1, 2, 0, -1, -1, 1, 0, 2, -1, 0, 1, 2, 0, 0, 0, 0, -2, 0, 0, -1, 1, -1, 4, -1, 1, -1, 0, -1, 0, 2, 0, 0, -1, 1, 1, 1, 1, 2, 0, -2, 0, 0, 1, 2, -1, 4, 0, -1, -1, 1, 0, 1, -1, 1, 1, 2, -1, 1, 0, 0, -2, 1, 0, 0, 0, 0, 1, 0, 4, 0, -1, 0, 0, 2, 0, -2, 1, 0, 0, 0, -2, -1, 0, 2, 1, 0, 0, -1, -1, -1, 0, 4, 1, 0, 0, -1, 0, -1, 1, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, 0, -1, -1, 1, 4, -1, -1, -1, 2, 0, -2, 0, 0, 1, 2, 1, 1, -1, 1, 0, 0, 1, -1, 1, 0, 0, -1, 6, 0, -1, 1, 1, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 4, 0, -2, 2, -1, 1, -1, 0, 1, 2, -1, -1, 0, -1, 2, 2, 2, 1, 2, -1, -1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 1, 2, 0, 2, 0, -2, 1, -1, 1, 1, 0, -1, -1, -1, 1, 1, 1, 1, 0, 4, 1, 0, 1, 1, 2, 1, 0, -2, 0, 0, 0, -1, -2, 1, 1, -1, -1, 1, -1, 2, 1, 1, 4, 2, 2, 0, 2, 1, 1, -1, 0, -2, -1, -1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 4, 0, 0, 0, 2, 1, -1, 1, -1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 4, 0, 2, 0, -1, -2, 0, -1, -1, -1, 0, 1, 0, 0, -1, 0, 1, 1, 2, 1, 0, 0, 0, 4, 0, 2, 0, -1, 0, -1, 1, 1, 0, 0, 0, -2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 4, 0, -1, -2, -1, 0, -1, -1, -1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 4, 1, -1, 0, -1, 1, 1, 0, -1, 0, -2, 1, 1, -1, 1, 0, 0, 1, 1, -1, 0, -1, 1, 4, 1, 0, -1, -1, 0, 1, -1, -1, 1, 1, -1, -1, 0, -2, -2, -1, -1, -2, -1, -2, -1, 1, 6, 1, -1, 0, -1, 2, 0, -1, 0, -1, -1, 0, -1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 4, 0, 1, -1, -1, 0, -1, 0, -1, 1, 1, 0, -1, 0, -2, -1, -1, -1, 0, -1, -1, -1, 0, 4, 1, 1, -2, -1, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, -1, 1, -1, 1, -1, 0, 1, 1, 4, 2, -1, -1, 1, -1, 1, 0, 0, 0, 1, -1, -1, 1, -1, 1, -1, 1, 0, -1, -1, 1, 2, 4, 0, -1, 1, -1, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, 1, 2, -1, -2, -1, 0, 4, 0, -1, 0, 0, -1, 0, 0, -1, 1, 1, 0, 1, 0, 2, -1, -1, 0, 0, -1, -1, -1, 0, 4, 2, 0, -1, 1, 0, 2, -1, 1, 1, 1, 0, 0, 1, 0, -1, -1, -1, 0, 1, 1, -1, 2, 4, 0, 1, 0, 0, 1, -1, -1, 1, 0, 0, -2, 0, -2, 1, 0, 0, 0, -1, -1, 0, 0, 0, 4, 1, -1, 1, -1, 1, -1, 1, 2, -1, 0, 0, 1, 1, -1, -1, 0, 1, 2, 0, -1, 1, 1, 4, -1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, -1, -1, 1, 0, 0, 0, -1, 1, 0, -1, -1, 4, 1, 1, 1, -1, 1, 0, 1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 4, -1, 1, 2, 1, 1, 1, 1, 2, 1, 0, -1, 0, -1, 0, 0, 0, 2, 1, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, -1, -1, -1, -1, -1, 1, 2, -2, -1, -2, -1, 1, -2, -1, 1, -1, -1, 2, -1, 4, -2, 1, -1, -1, 2, 1, -1, -2, -1, 2, 2, 1, 2, -1, -1, 2, 1, 0, -1, 0, 2, -2, 4, 0, 1, 1, -2, -1, -1, 0, 1, -2, -2, -2, -2, 1, -1, -1, 1, 0, -1, 1, 1, 1, 0, 4, 0, -1, 0, 1, -2, -2, 0, 1, 2, -1, 2, -1, -1, 1, 0, 1, -2, 1, -1, -1, 1, 0, 4, 0, 0, -1, 0, -1, -1, -1, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, -1, 1, -1, 0, 4, -2, 1, 0, -1, -1, 1, -1, 0, -2, 1, 0, 0, 1, 0, -1, 0, -1, 2, -2, 0, 0, -2, 4, -1, 1, 0, -1, 0, 2, 2, 1, 0, 0, 1, 0, -1, 0, 0, -1, 1, -1, 1, -1, 1, -1, 4, 0, -1, 0, 3, 0, 0, 2, -1, 0, 0, 0, 1, -1, 0, -1, -1, -1, -2, 0, 0, 1, 0, 4, 2, 0, 0, -1, 2, -1, 1, 2, -1, -1, 0, 2, 0, 1, -2, 0, -2, -1, -1, 0, -1, 2, 6, 2, -2, -3, 1, 0, 2, 0, -1, -1, 0, 3, 0, 2, -1, 1, 0, -1, -1, -1, 0, 0, 2, 4, -2, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, -2, 2, -2, 1, -1, 1, 0, 3, 0, -2, -2, 6, 0, 1, 3, -1, 0, 0, 1, 1, 0, 0, -1, 2, -2, 2, 1, -1, 2, 0, -1, -3, -1, 0, 6, 0, 1, -2, 0, 1, 0, 0, -2, -1, -2, 1, -2, -1, 0, 0, 2, 0, 2, 1, -1, 1, 0, 4, 0, 1, 1, 1, -1, 0, 2, 0, -1, 2, -2, 2, 0, -2, 1, 2, -1, 0, -1, 3, 1, 0, 6, -2, -1, 0, 0, 1, 0, 0, 1, -1, 1, -1, 0, 1, 0, -1, 1, 2, 0, -1, -2, 1, -2, 4, 0, 0, 0, -1, 1, 2, -2, -1, -1, -1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, -1, 0, 4, 0, -2, 1, 2, -1, -1, 2, -1, 1, 0, 0, 1, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0, 4, 0, 1, 0, 0, 1, 1, 1, 0, -1, 1, 0, 0, -1, -1, 0, 1, 0, -1, 0, 0, -2, 0, 4, -1, -2, 1, -1, 0, 0, 1, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 1, -1, 4, 1, -1, -1, -1, -1, -2, 1, -1, 0, -1, 2, 3, 0, 0, -2, 2, 0, 1, 2, 0, -2, 1, 6, -1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 0, 1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, 1, 1, 0, -1, -1, 0, 1, 2, -1, 0, 1, -1, -2, 2, -2, 1, 2, 1, -2, 4, 2, -1, -1, 0, -1, 1, 0, -1, 1, 0, 0, -1, -2, 1, 0, -2, 2, -1, -1, 0, -2, 2, 4, 0, -2, 1, 0, 1, 0, -1, 1, -1, 1, 0, -1, 1, 1, -2, 1, -1, -2, -1, 1, -1, 0, 4, -1, 0, 0, 1, 1, -1, -1, 1, -1, -1, 0, 0, -1, 0, -2, 0, 0, 1, 1, -1, -2, -1, 4, -1, 1, -2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, 1, 0, 1, 0, -1, 4, -1, 0, -2, -1, 0, 0, 0, 0, 1, -1, 0, 1, -1, -1, -1, 1, 0, -1, 0, 0, 1, -1, 4, -2, 2, 2, -1, 0, -1, 2, 1, 1, 2, 0, -1, 0, 1, 0, -1, 1, 1, 1, -2, 0, -2, 4, 0, -1, -1, 0, 1, -2, -2, -1, -2, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, -2, 2, 0, 4, 0, -2, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1, -1, 2, -1, 2, -1, 0, 4, -1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 0, -1, -1, -2, -1, 6, 1, 1, -1, -1, 2, -1, -1, 1, 1, 0, -2, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 4, 0, -1, -1, 1, -2, 1, 0, 1, 1, 1, -1, 0, 1, -1, 0, 0, -1, 1, 0, 0, 1, 0, 4, -1, -1, 0, -1, -1, 2, 1, -1, -1, 0, -1, 0, -1, 1, 0, 2, -2, 0, 2, -1, -1, -1, 4, 2, 0, 2, 0, -1, -1, 0, 0, 1, -2, -1, 0, 1, 1, 1, -2, -1, 1, -1, -1, -1, 2, 4, -1, 2, 1, -2, -1, -1, 1, -1, 1, 1, 0, 0, -1, 1, -1, 0, 0, 2, 1, 0, 0, -1, 4, 1, -1, 1, 1, -1, -1, -2, 0, 1, -1, 1, 0, 2, -2, 0, 2, -1, -2, -1, 2, 2, 1, 6, -1, 0, -1, -3, 0, 2, -2, -2, 0, 0, 1, 0, 0, -1, 0, -1, 1, -1, 0, 1, -1, -1, 4, -1, 1, 2, 1, -2, 2, 1, -2, 0, -1, -1, 1, 0, 0, 1, 0, 2, -1, -2, 1, 0, -1, 4, 0, -1, -1, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, -1, 1, 0, 4, 2, 0, 2, -1, -2, 0, 0, -1, 1, 0, 1, 0, 0, 1, -1, 0, -1, -1, -3, 2, -1, 2, 6, 0, 1, 0, -1, 1, -1, 1, 0, 0, 0, 0, -2, 1, -1, 0, 1, -1, 0, 1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 1, 1, 0, 0, -1, -2, 1, -1, -1, -1, -1, 1, 2, 0, 0, 1, -1, 1, 0, 4, -1, 0, -1, 1, 2, 0, 2, 1, -1, 1, 2, 1, -2, -1, 0, 0, -2, 0, -1, 0, 1, -1, 4, -1, 0, 1, -1, 1, 0, 0, 2, -1, 0, 1, 2, 0, -1, -1, 0, 1, -1, 0, 0, 0, -1, 4, 2, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, -1, 0, 2, 4, 1, -1, -1, 0, -2, 1, 1, -1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 4, 0, -1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, -2, 1, 0, 2, -1, 1, -1, 0, 4, -1, 1, 1, -1, 0, 2, 0, -2, -1, 1, 2, 0, -1, -1, 1, 0, 0, 1, -2, -1, -1, -1, 4, 1, 0, 0, 0, 0, -1, 0, -1, -1, -2, -2, 1, 0, 0, -1, 2, 0, 0, 0, 1, 1, 1, 4, 1, 0, 2, 2, 1, -1, 0, -1, 0, 0, 1, 0, 0, -2, 1, 0, 0, -2, 0, 1, 0, 1, 4, 0, 0, 2, 0, 1, -2, -2, 0, 0, 0, 0, 0, 1, -1, 2, 0, 1, 2, -1, 0, 0, 0, 4, -1, 0, 0, 2, 1, 0, -1, 2, 1, -1, 0, -1, 1, -1, 1, 1, 1, 0, 0, 2, 0, -1, 4, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, -1, 2, 0, 0, -1, 0, 2, 0, 2, 2, 0, 0, 4, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 1, 0, -1, 1, 0, 0, 1, 0, 4, 1, 1, -1, 0, -1, 0, 0, -1, -1, -2, 2, 0, 1, 1, -2, 0, -1, 1, 2, -1, -1, 1, 6, 0, -1, -1, 2, 0, -1, -1, 1, -1, 0, 1, 2, 0, -1, -1, 0, -2, 1, 0, -1, 1, 0, 4, 1, 0, 1, 1, 1, 0, 2, 0, -1, 0, 1, 1, 1, -1, -1, -2, 0, 0, -1, -1, -1, 1, 4, 1, 1, -1, -1, 1, 0, 0, -1, 2, 0, 0, 2, -2, 0, 0, -1, 1, 0, 0, -1, 0, 1, 4, 1, 0, 0, 1, 0, -2, 0, 1, 2, 1, 0, -2, 0, 0, 2, -1, 0, -1, 2, 1, 1, 1, 6, -1, 0, 0, 1, 0, 1, 1, 1, 0, -1, 1, 1, 0, 1, 1, 0, 0, 0, 1, -1, 0, -1, 4, 1, 0, -1, -1, -1, 0, 0, -2, -1, 0, 0, 0, -1, 0, 0, 0, -1, 1, -1, 0, 0, 1, 4, -1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 0, -1, -1, -1, 1, -2, -1, 1, 0, 2, -1, 1, 1, 1, -1, 0, 0, 0, -1, -1, 4, 1, -1, 2, 1, 1, 0, 1, -1, -1, 1, -2, -1, -1, -1, -1, 1, 1, 1, 1, 1, -2, 1, 4, -1, 1, 0, 1, -1, 2, -1, 0, 1, -2, -1, -1, 0, -2, 1, -1, 1, 1, 1, 0, -1, -1, 4, 1, 1, -2, -1, -1, 0, 1, -2, -1, 0, 2, 0, 0, -2, -1, 0, -2, 0, -1, 2, 1, 1, 4, 2, -1, 0, 1, -1, 1, 0, -3, 0, 0, 0, 0, -1, -1, 1, 0, 0, -1, 1, 0, 1, 2, 4, -1, 1, 1, 1, 0, 0, -2, 1, 1, 1, -1, -1, 0, 1, 0, 0, -1, 1, 1, -2, -1, -1, 4, -1, 1, -1, -2, 1, 1, 0, -1, 0, -1, 2, 0, 1, 1, 1, 1, 0, -1, -1, 0, 1, -1, 4, 0, 2, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, -2, 1, 2, -1, 1, 1, 1, 0, 4, 1, -1, 0, -2, 1, -1, 1, -1, 0, 0, 1, 0, 1, -1, -1, -1, 0, -1, 1, -1, 2, 1, 6, -2, -1, 1, 2, -1, 0, 1, 0, 0, 0, -1, -1, 1, -1, 0, 1, 1, 0, -2, 0, -1, -2, 4, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, -1, 0, 1, 1, -2, 0, 0, 1, 0, 0, -1, 0, 4, -1, 0, -2, 0, 0, 2, 1, 1, 1, -1, 2, -2, -2, -1, -3, -2, 1, 1, -2, 1, 0, -1, 6, 0, 1, 0, 1, 1, 0, 0, 1, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 4, -1, 1, 1, 0, 0, 0, 0, -1, 1, -1, -1, 2, 0, 1, -1, 0, -1, -1, 1, -2, 1, -1, 4, 0, -1, -2, 0, 0, -1, 1, 1, -1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 4, 0, -1, -1, 1, 0, 0, 1, -1, -2, 0, 0, -1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 4, 0, 0, -1, 0, -1, -1, 1, 1, -2, -1, -1, 2, -1, 0, 0, -1, 2, 1, 0, -2, -1, 0, 4, 1, 1, 2, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 4, -1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, -1, 1, -1, 4, 1, 0, 0, 1, 1, -2, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, -1, 0, 0, 2, 0, 1, 4, 0, -1, 1, 1, 0, 0, 0, 1, 0, 1, -1, -1, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 0, 1, 1, -1, 2, -1, -1, 0, 2, 1, 1, 2, 1, -1, 1, -1, -2, 1, 4, 0, -2, 2, 0, 2, 2, -1, 0, 0, -2, -1, 0, 1, 1, 2, 0, -2, 2, 1, 1, -1, 0, 4, -1, -1, 0, 0, 1, 1, 1, -1, -1, 1, 0, 1, -1, -1, 1, 1, 1, 2, -1, -1, -2, -1, 4, -1, 1, -2, -2, 1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, -2, 0, 1, 2, 2, -1, -1, 6, -2, 2, 0, 1, 0, 1, -1, -2, 2, 2, 2, 0, -1, -3, 0, -2, -2, 0, 0, 0, 1, -2, 4, -2, 0, -1, 1, -2, 0, 1, 0, -1, -2, 2, 1, 1, 0, 0, 1, 1, 2, 0, -2, 2, -2, 4, 2, 0, 0, 1, -1, 0, 1, 0, 2, 0, 0, -1, 1, 1, -1, 1, 2, 1, -2, 0, 0, 2, 4, 0, 0, 0, -1, 1, 1, 0, 0, 2, 0, 0, 2, 1, -1, -1, -1, 1, 1, 1, -1, 0, 0, 4, 0, 1, 1, 1, 0, 0, 0, -1, -1, 0, -1, -1, -2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 4, -2, -1, 1, 1, 1, 0, 1, 2, 0, 1, 1, -2, -1, 0, -1, 0, 1, -2, 1, 0, 1, -2, 4, 0, 0, 0, 0, 2, -2, -2, -1, -1, 0, 0, -1, -2, -1, 1, -1, 0, -1, -1, 1, -1, 0, 4, 1, -1, -2, 0, 0, 0, 2, -2, -2, 0, 0, -1, 1, 0, -2, 1, 0, 1, 1, 1, 0, 1, 4, 0, -1, 0, 1, 0, 2, 0, 1, -1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, -1, 0, 4, 1, 0, 0, 0, -1, 0, 0, -2, 1, 1, 1, 0, 2, -1, 0, 0, 0, 1, 0, -2, -1, 1, 4, 1, -1, 0, -2, 1, 1, 0, 1, 1, -1, -1, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 4, -1, 0, -1, 0, 0, 0, 2, 2, -1, -1, 0, 2, 0, 2, -1, 1, -2, 0, 1, 0, -1, -1, 6, 1, 0, 2, -1, 0, 1, 0, 1, 0, -1, 1, 0, 0, -1, 2, -2, 0, 0, 0, 0, 0, 1, 4, 1, 1, 1, 0, -1, -2, 1, 0, -3, 1, -1, 0, 0, 0, -1, 2, 2, -1, -2, -1, 0, 1, 4, -1, 0, 0, 1, 2, 1, -2, 0, 0, 1, 2, -1, 1, -1, -2, 0, 0, 1, 0, 2, 1, -1, 4, 2, 0, -1, 1, 2, 0, -2, 0, 1, 1, -1, 1, 0, -2, 1, 0, 1, 0, -1, 1, 0, 2, 6, 1, -2, 1, -1, 1, -2, 1, -1, -1, -2, -2, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -2, -1, 1, -1, 1, 0, -1, -1, -1, 1, 0, 0, -2, 0, 0, 0, 1, -1, -1, 4, 0, 0, -1, 2, 0, 0, -1, 1, 2, 1, 1, 0, -1, -1, 0, 1, 0, 0, 0, -1, -2, 0, 4, -2, 1, -1, -1, 0, 0, 0, -1, 0, -1, -1, 1, 1, 2, -1, 1, -1, -1, 0, 2, 0, -2, 4, 0, -1, 2, -1, 1, -1, 0, 0, 0, 1, -1, -1, -1, 1, 0, 1, 1, 0, -2, -1, 1, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 1, 1, 0, 2, -1, 2, -1, -1, 0, 6, -2, 0, 0, 0, 3, 1, 2, -2, -2, 1, -2, 2, 1, -1, 1, -1, 1, 0, -1, 2, 0, -2, 4, 1, -1, 1, 0, 0, 0, 2, 1, -2, 1, -1, 0, 2, -1, 0, -1, 0, 0, -1, 1, 0, 1, 4, -2, 1, 0, 1, 0, 1, 1, -2, 1, -1, -1, 1, -2, 1, 1, -1, 0, 1, 0, 0, -1, -2, 4, -2, 0, -1, -1, 0, 0, 1, -1, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, 1, -2, 4, 0, -1, 1, 0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 2, -1, 0, 0, 3, 0, 0, 0, 0, 4, 0, 2, -1, -1, -1, 0, 2, 0, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, 1, -1, -1, 0, 4, 1, 1, -1, -1, 0, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 2, 0, 0, -1, 1, 2, 1, 4, -1, -2, 0, 0, 1, -1, 0, 1, 0, 1, 0, -1, 1, -1, -2, 2, 1, 0, 0, -1, 1, -1, 4, 1, -2, 0, -1, -1, 1, -1, 0, 0, -1, 1, -1, 1, -2, 1, 1, 0, 1, -1, -1, -2, 1, 4, 0, 1, -1, 1, 1, -1, 0, 0, -1, 1, -1, 0, 1, -2, -2, 1, 0, -1, -1, 0, -2, 0, 4, -1, 0, 1, -1, 1, -1, -2, 0, 2, -1, 1, -2, 1, 1, -1, 0, 0, 0, 0, 0, 1, -1, 4, -1, 0, 1, -1, 1, 0, 1, -1, 1, 0, 2, -1, -1, 1, -1, 2, 0, 1, -1, -1, 0, -1, 4, 1, 0, 1, -1, 0, 0, 1, 0, 1, 1, 0, -1, 1, 0, 0, -1, -1, -1, 1, 1, 0, 1, 4, 0, 0, -1, 0, 0, -1, 1, 1, -1, 2, 1, 0, 1, 0, -1, 0, 1, 1, -1, 1, 0, 0, 4, 0, 0, 1, 0, -1, 1, 0, 1, -1, -2, 1, 0, 1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 4, 0, -1, -1, 0, 0, 2, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 1, 2, 2, 0, -1, 1, 1, 2, -2, 1, -1, 1, 1, 0, 0, 1, 1, 4, 0, -2, 0, 2, 0, 0, 1, 1, -2, 2, 1, 0, 0, -1, 1, -1, 0, -1, 0, -1, -1, 0, 4, -1, 0, 0, 0, 0, -2, -1, -1, -1, 1, 0, 0, 1, 0, -2, 1, 1, 0, 0, -1, -2, -1, 4, -1, -1, 0, 0, -1, 1, 2, 0, -1, 0, 0, 1, 0, 0, -1, 1, -1, -1, 1, 0, 0, -1, 4, 1, -1, 1, 0, -2, 0, -1, 1, 1, -1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, -1, 1, 4, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, -1, 0, 4, 2, 0, 0, 0, 0, 1, 1, -1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 4, 0, 0, 0, 0, 2, 2, -2, 2, 0, 2, 2, 0, 0, 0, 2, 1, -2, -1, 0, 1, 0, 0, 4, 0, -1, 1, -1, 1, -1, 0, -1, 0, -1, -1, -1, 0, 0, 1, -1, 1, -2, 1, 0, 0, 0, 4, 0, 1, -1, 0, 1, 0, 0, -1, -1, -2, -1, -1, -1, -2, -1, 2, 0, 0, 0, 0, -1, 0, 4, -1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, -1, 0, -1, 0, 0, 0, 1, 1, -1, 4, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, 1, 1, -1, 1, 0, 1, 2, -1, -1, 0, 0, 4, 0, -1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 4, -2, 1, -1, 0, 1, 0, 0, 1, -2, 0, 0, 0, -1, 0, -1, -2, -1, 1, 1, 0, -1, -2, 4, -2, 0, -1, 0, -1, 0, 0, 1, -1, 1, 1, 0, 0, 1, 2, 0, 0, 0, -1, 1, 1, -2, 4, 0, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 4, 1, 0, 0, 1, -1, 1, -1, -2, 0, 2, 0, 1, 2, 0, -1, 2, 0, 1, 0, -1, 0, 1, 6, 1, 0, 2, 1, 1, 0, 1, -1, 1, -1, 1, 2, -1, -1, 0, 0, 2, 1, 0, 0, 0, 1, 4, 0, 1, 1, 0, -1, 1, 1, 1, -1, 0, 0, -1, -2, 0, -1, 1, 0, -1, 1, 0, 0, 0, 4, 1, 0, 0, 0, 0, -1, 2, 0, 0, 0, -1, -1, 0, 0, 1, 0, 0, -1, 1, 2, 1, 1, 4, 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 1, 1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 0, 1, -1, -2, 0, 1, 1, 1, -1, 0, 2, 1, -1, -2, 0, 1, 0, 0, 1, 4, -2, 0, 1, 0, -2, 0, 1, 1, 2, -1, -1, 1, 0, 0, 1, 0, 1, 2, 0, 0, -1, -2, 4, -1, 1, 0, 1, 0, 1, -2, -2, 0, 2, -1, 0, -1, 0, 0, 1, -2, -1, -1, 1, 0, -1, 4, 1, -1, -1, -1, 1, 0, 0, -1, 0, -1, 1, 1, -2, -1, -2, 0, 2, 2, 0, 1, 1, 1, 4, -1, -1, 0, 2, 0, 0, -2, 1, -1, 1, -1, 0, -1, 1, -1, 0, 1, 1, 0, 0, -1, -1, 4, 1, -1, 0, 0, 0, 1, -1, 1, 1, 1, -1, 1, 1, 0, 0, -1, -1, -2, 1, -1, -1, 1, 4, 1, -1, 0, -2, 1, 1, -1, -1, -1, 0, 1, 0, -1, 0, -1, -2, 0, 0, -1, 0, -1, 1, 4, -1, 0, -1, 0, 0, 0, -1, 0, 0, 2, 1, 0, 0, -1, 0, 1, 1, 1, 2, 0, -1, -1, 4, 0, 0, -2, 1, -1, 1, -1, 0, 0, 1, -1, 0, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 4, 2, 0, -1, -1, 1, -1, 0, 0, 0, 1, -1, 0, 1, 2, -2, 0, 0, 0, -2, -1, 0, 2, 4, -1, -1, 1, 1, 0, 0, -1, 0, 2, 0, 1, 1, -1, 0, -1, -2, 1, 1, 0, -2, 0, -1, 4, 0, 1, -1, 0, 0, 0, 0, 0, 0, -2, -1, -1, 2, 0, 1, -1, 1, 0, 1, -1, -1, 0, 4, 0, -1, -2, 1, 0, 1, -2, 0, 0, 0, 1, -1, -1, -1, 1, -1, 0, -1, -1, 1, 1, 0, 4, -1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 4, 1, -2, -1, 0, 0, 0, 1, 1, 0, -1, 1, -1, 1, -1, 0, -1, -1, 0, 0, -2, 1, 1, 4, -1, 0, -1, 1, 1, 1, -1, 1, 0, -2, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, -2, -1, 4, 0, 1, 0, -1, 0, -2, 0, 0, -1, -1, 1, 1, 2, 0, 0, -1, 0, 0, 0, -1, 0, 0, 4, 1, 0, 0, -1, 0, 1, 1, -2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, -1, 1, 1, 4, -1, -1, -1, 1, 2, -2, 0, -1, 0, -1, 0, -1, 1, 2, 0, -2, 1, 0, 1, 0, 0, -1, 4, 1, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, 4, 1, 0, 0, -1, 2, 1, -1, -1, -1, 1, 0, 1, -2, 0, 0, 1, 1, 0, -1, -1, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 1, 1, 0, -1, 0, -1, 2, 1, 0, -1, 0, 1, 1, -1, 1, -1, 0, -1, 0, -2, 6, 2, -2, -2, -2, -1, -2, 0, -2, -1, -1, -1, -1, -2, -2, 2, 1, -2, -2, 2, -1, 0, 2, 4, -1, 1, -2, 0, -2, 1, -1, 1, -2, 0, -1, -2, -1, 2, 0, -1, -2, 0, 0, 1, -2, -1, 4, -1, 0, 1, 0, 0, 0, 0, 0, 1, -1, 2, 1, -1, -1, 2, 0, -2, 0, 1, -2, 1, -1, 4, 1, 1, 1, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, -2, 0, 1, 4, 1, 2, -1, 0, 0, 1, 0, 0, 1, 0, -2, 1, 1, 2, 0, -1, -1, -1, 0, 1, 1, 1, 4, 0, 0, -2, -1, -1, 2, -1, 1, 1, -1, 0, 1, 0, -1, 0, 0, -2, -2, 0, 1, 2, 0, 4, -1, 1, 0, 1, 1, 2, 1, 1, 0, -1, 1, 2, 0, -1, -1, 0, 1, 0, 1, -1, 0, -1, 4, 0, 1, -1, 0, 0, -1, 0, 1, -1, 1, -1, 0, 0, 2, -2, -1, 0, 0, 0, -2, 1, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, -1, 1, 0, 1, 0, -1, 0, 1, 0, 4, -1, -1, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1, -2, 0, -1, 1, -1, 1, -1, 0, -1, 4, -1, 1, 1, 1, -1, -1, 0, 2, 1, 1, -1, -1, 0, 1, 1, 0, 2, 1, 0, 0, -1, -1, 4, 0, 1, 0, 0, -1, 1, 0, -1, 0, 0, -1, -1, -1, 1, 0, -1, 2, 0, 0, 1, 1, 0, 4, 0, 1, 1, -1, 0, 1, 1, 0, 1, -2, -2, 2, 0, 1, 1, 1, -1, 0, 0, 1, 1, 0, 4, 1, -2, 0, 1, 0, -1, 0, 1, -2, -1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 4, 0, -1, 0, 1, 0, 1, -1, 2, 2, -1, 0, -2, -1, 0, 1, 0, 1, -1, 0, 1, -2, 0, 4, -1, 0, -1, 1, 0, 1, 1, 0, -1, 0, 1, 0, -1, -1, 1, 0, -1, -1, -1, 0, -1, -1, 4, -1, 0, 1, -1, -1, -2, -1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 4, 0, -1, 0, 0, -2, -2, 0, 0, 2, 0, 2, -1, 1, -1, 2, 0, 1, 0, 1, -1, 0, 0, 4, 1, 0, -1, 2, 0, -2, -1, 0, -1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 1, -1, 1, 4, -1, 0, -1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 2, 0, 2, -1, 0, 0, -1, -2, -1, 1, -2, 1, 1, -1, -1, 0, 1, 2, 1, 2, 4, 1, 1, 1, 2, -1, 1, -1, -1, 0, 1, 0, 0, 0, -1, 1, -1, 0, 1, 2, 1, 1, 1, 4, 2, 1, 1, 0, -1, -1, -2, -2, 1, -1, 0, -1, -1, 1, -2, -1, 0, 2, 1, 2, 1, 2, 4, 1, 1, 0, -1, 0, -2, -2, 0, 1, -1, 1, 0, 0, -2, -1, 0, 1, 1, 0, 1, 1, 1, 4, 2, 1, 0, 1, -1, -1, 2, 0, 1, -1, -1, 1, -2, -2, -1, 0, 2, 2, 2, 1, 1, 2, 4, -1, 0, 0, -1, -2, 1, 1, 0, -1, -1, 1, -2, 0, 1, 2, 1, -1, -1, 0, 0, 1, -1, 4, -1, 0, -1, 0, 1, 0, 1, 0, 1, 0, 0, -2, -2, -2, 1, 0, 1, -1, -1, 0, 0, -1, 4, 1, 0, 0, 0, 0, 1, 0, -1, -1, 1, 1, 0, -1, 0, 0, -1, -1, 0, 1, 0, 0, 1, 4, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, -2, -2, -1, -1, -1, 0, 0, 4, 1, -1, -1, -1, 1, 1, -1, 2, 1, 1, -1, 0, -2, 0, -2, -2, -1, -2, 0, 0, -1, 1, 6, -1, 0, 1, 0, 0, 1, 2, 1, -1, 0, -1, -1, 1, 1, 0, 2, 1, 1, 0, 0, -1, -1, 4, 0, 1, -2, -2, 2, -1, -1, -1, -1, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, -1, 0, 0, 4, -1, 1, 0, 0, -1, 1, 0, 0, 0, -2, 0, 0, -1, 1, 0, 1, 1, 0, -1, 1, 1, -1, 4, -2, -1, 1, 0, -1, -1, 0, 0, 1, 0, -1, 1, -1, -1, 0, 0, 0, 1, 0, -2, 1, -2, 4, 1, -2, 0, 1, 1, -1, 1, 1, -1, -1, 0, -1, -1, 1, -1, 0, 1, 0, -2, 0, -1, 1, 4, -1, 1, -1, 0, 0, 1, -1, 1, 1, 0, 1, 1, 0, -1, 0, -1, 1, 2, 0, 1, -2, -1, 4, -1, 0, 0, 1, 0, -1, -1, -2, -2, -2, -2, 0, 1, 0, 2, 2, -1, -1, 0, 0, 1, -1, 4, 1, 0, -1, -1, 0, 0, -1, -1, -2, 0, -2, 1, 0, 1, 1, -1, 1, -1, 1, -1, 0, 1, 4, 1, 0, -1, 1, 1, 0, 0, -1, 1, -2, 0, 0, 1, -1, -1, 0, -1, 1, 0, 0, 0, 1, 4, 2, 0, 2, 2, 2, 1, 0, 2, -2, -1, -2, -1, 0, -1, 0, 0, -1, 0, 1, -1, 0, 2, 6, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, -1, 0, 0, 0, 1, 1, 0, -1, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, -1, -1, 0, -1, 0, 1, 0, -1, 1, 2, -1, 1, 0, 1, 2, 2, -2, -1, -1, 2, 4, -1, -2, -2, 0, -1, 1, 0, 1, 0, 1, 1, -2, 0, 1, 1, 2, 2, -2, -2, 1, 0, -1, 4, 0, 2, 0, 2, 0, 1, 1, 1, -1, -1, 2, 0, -1, 1, 1, 1, 1, 1, 1, -1, -2, 0, 6, 2, -1, 1, -3, 0, 0, -1, -1, 2, 3, -1, 0, 0, -2, 1, 2, 1, -2, -1, -2, 2, 2, 6, -2, 2, -2, -1, 1, -1, 1, 0, 2, 0, -2, 0, -1, 2, 1, 1, -2, 0, 0, 0, -1, -2, 4, 1, 0, 2, 1, 0, 0, -2, 1, -1, 1, -1, 0, -1, 0, 0, 2, -1, -1, 2, 1, 2, 1, 4, 0, 0, 1, 1, 0, -1, 3, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, -3, -2, 0, 0, 4, -1, -1, 1, 0, -1, -1, 1, 0, 1, 1, -1, -1, -1, 1, 1, 0, 1, 0, -1, 2, 0, -1, 4, 1, 0, -1, 0, 1, -1, 1, -1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, -1, 1, 4, -1, 1, -1, 1, -2, 1, -1, 1, 2, 0, -1, 2, -1, 0, 1, -1, -1, 0, 1, 1, 0, -1, 4, -2, -1, 0, 0, 1, 0, 0, -1, 1, 1, 1, 1, 1, -1, -1, 1, 0, 0, 0, -1, 1, -2, 4, 1, 0, 0, -1, 0, 1, 1, -1, -2, -1, 2, 1, -1, 2, 0, -2, -1, -1, 0, -1, -1, 1, 6, 1, 0, -1, 0, 1, 1, 0, -1, -3, -1, -2, 2, 3, 2, 1, 3, -1, 1, 1, 0, 0, 1, 6, -2, 0, 0, 0, 0, 2, 1, -1, 1, 0, 0, -1, 0, -1, 0, 1, -1, -2, 0, 0, 0, -2, 4, -1, 1, 0, 0, -1, 0, 0, 0, 1, -1, 0, -2, 1, 0, 0, 1, 1, 1, -1, -1, 0, -1, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 1, 0, 4, 1, 1, -1, 0, 0, 2, 2, 1, -2, -1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 4, 1, -1, -1, 1, 2, 2, 1, 1, 2, -1, 1, -1, 1, 2, -1, 1, 1, 0, 0, 0, 1, 1, 6, -1, -1, 0, -2, -2, 1, 2, 1, 0, 1, -1, 1, 0, 1, -1, 0, 2, -1, 0, -1, -1, -1, 4, 2, 0, -1, -2, 1, 1, 1, 0, 0, -1, 1, -1, 1, -2, -1, 1, 0, 0, 0, -1, -1, 2, 4, -1, -1, 1, 1, -2, -2, 2, 1, 1, 1, 2, 1, -1, -3, -1, 0, 2, 0, 1, 0, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, 2, 1, 0, 0, 2, -1, 1, -2, 0, 1, 1, 1, -2, 1, 1, -2, 2, -2, 1, 4, 1, -2, 2, -1, 0, 0, 0, -2, 2, 0, 0, 1, -1, 1, -2, -1, 1, -2, 2, 0, 2, 1, 4, -1, 1, 1, 0, 1, 1, 0, 2, 0, -1, 1, 1, 0, -2, 1, 2, -1, 0, -2, -1, -2, -1, 4, -2, 1, 1, -1, 0, 2, -1, 0, 1, -1, 1, -1, 1, 1, -1, 0, -1, 1, 2, 2, 1, -2, 4, 0, -1, 0, 0, -1, 2, -1, -1, 0, -1, 0, -2, -1, 1, -1, 1, -1, 1, -1, 1, 1, 0, 4, 1, 0, 0, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, -1, 1, 4, 1, 0, 0, 0, -1, 2, 1, -1, 1, -1, -1, 1, -2, 1, 0, 0, 0, 1, -1, 0, 0, 1, 4, -1, -1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 2, 0, 1, 0, 0, 0, 0, -1, 4, -1, 0, 0, 0, 0, 1, 1, -1, 2, 1, -2, 2, -2, -1, -2, 0, 2, -1, 1, 0, -1, -1, 4, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, -1, 0, 1, 2, 2, -1, 2, 1, 0, 0, 0, 0, 4, 0, -1, 1, -1, 1, -2, -1, 1, -2, 0, -1, -2, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 4, -1, -1, 0, -1, 0, 1, 0, 1, -2, 0, 0, 0, -1, 1, -1, 0, 2, -1, 0, 0, -1, -1, 4, 1, 0, 1, 0, -1, 1, -2, 2, 1, 1, 1, 1, -1, 0, 0, 1, 1, 0, 0, 1, -1, 1, 4, -1, 2, 0, -1, 0, -2, 1, 0, 1, -1, 1, 1, -1, 0, -1, 0, 1, 0, -1, 0, 0, -1, 4, -1, 0, 2, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, 1, -1, 1, 0, 1, -1, 1, 2, -1, 4, 0, -1, 0, -2, 2, 0, -2, -2, -2, 1, -2, 0, -1, 0, -1, 1, -2, 0, 0, 0, 0, 0, 4, 0, -2, 2, -1, 2, 1, -1, 1, 1, -1, 0, -1, 0, 2, 0, -1, 1, -1, -1, 2, -1, 0, 4, 0, 1, 0, -1, 1, 1, 2, -1, 1, 0, 1, 0, 1, -1, 1, 0, 1, 0, 0, 0, -2, 0, 4, -2, 1, -1, -2, -2, -1, 0, -1, -1, -2, 1, -2, 1, -2, 1, -2, -2, 1, -2, 2, 1, -2, 6, -2, 1, 2, 2, 0, -1, 1, 0, 1, -1, 2, -1, 0, -2, 2, 1, 0, 2, -1, 0, 1, -2, 6, -1, -2, 0, -2, 1, -1, -1, 0, 0, -2, 0, -1, 0, 1, 0, 0, 0, 2, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, -2, 0, -1, 0, -2, -1, 1, 0, -1, 1, 1, -2, 2, -1, 1, 0, -2, 0, 1, 4, 0, 0, 0, 1, 0, 0, 1, 1, 1, -1, -1, -1, 0, 1, -1, -1, 2, 1, -1, 1, 2, 0, 4, 0, -1, 0, -1, 1, -1, 0, 0, -1, 1, 0, 1, -2, 1, 1, 1, 1, -1, 1, 1, 0, 0, 4, -2, 0, 1, -1, 0, 0, 2, -1, -1, 0, 2, -1, 2, -2, -1, 0, -1, 0, -2, 0, -1, -2, 6, -2, -1, -1, 2, 2, -2, -1, -1, -2, -2, 2, -1, 3, 0, -1, 1, 2, 0, 1, 0, 0, -2, 4, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, -1, -2, 1, 2, 0, 0, -1, 0, -1, 1, -1, 1, 4, 0, 0, 0, 1, 1, 1, 0, 1, 2, -1, -2, 1, 1, 0, 0, 0, 0, 1, -1, -1, 2, 0, 4, 0, 1, 1, 0, 1, 1, 0, -1, -1, 1, 0, 0, 1, 0, -2, 1, -1, 0, 2, 0, 0, 0, 4, 1, 0, -2, 0, -2, -1, 1, -1, 0, 0, 0, 1, 1, -1, 1, 0, 0, 2, 0, 0, 1, 1, 4, 1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 1, 1, 1, 1, 0, 2, -2, 1, 1, 1, 0, 1, 4, -1, 0, 1, 2, 0, 1, -1, 0, 0, -1, 0, 0, -1, -1, -1, -1, 0, 1, 0, -2, -1, -1, 4, 0, 2, -1, 1, -1, -1, 0, 0, 1, -1, -1, -1, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 4, 0, 0, -1, -1, 1, 0, 1, 0, 0, 1, -1, 0, 0, -2, 0, 0, 1, -2, 0, 1, 2, 0, 4, 0, 0, 1, 0, -1, -1, 1, -2, 1, 0, 1, 2, -2, 0, 1, 0, -1, 0, 2, -1, 0, 0, 4, -1, 1, -1, 0, 0, -1, 0, -2, 1, -2, -1, 2, 1, 2, -1, 1, 1, 0, 1, -1, 0, -1, 6, -1, -1, 1, 1, 1, 1, 2, -1, 1, 2, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 4, 0, -1, -1, -1, 0, -1, -1, 1, -2, 3, -2, -2, 1, 0, 1, -1, -1, 1, 0, -1, -1, 0, 6, -1, -1, 1, 1, 1, 2, 1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, -1, 4, 1, -1, 1, 0, 1, 1, 0, -1, 2, 1, 0, 0, 0, 0, 0, 1, -1, 0, 1, -1, -1, 1, 4, 0, 1, -2, -1, -1, -1, 1, 0, 0, 1, 1, 1, -1, 1, 0, 1, -1, 1, -1, 1, -1, 0, 4, -1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0, -2, 0, 1, 0, 1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, -1, 2, 1, 2, 0, 1, -1, 1, -1, -1, 1, -2, 1, -2, -2, 2, -1, -2, 1, 4, -2, -2, -1, 2, 0, 0, 1, 2, 0, 1, 0, 1, -1, -2, 0, 1, 0, 2, 0, 1, -1, -2, 4, 1, 2, -1, 0, 0, -1, -2, 0, -1, -1, 0, 1, 2, 1, 0, 1, -1, 0, -1, -1, -2, 1, 6, 2, 0, 2, 1, 1, -1, -1, -2, 1, 0, 2, 3, -1, 2, 0, -2, 1, 1, -1, -1, 2, 2, 6, -2, 0, 0, -2, -2, 2, -3, 2, 1, 2, 0, 0, -1, 2, -3, -1, -2, 2, 2, -1, 0, -2, 6, 1, 2, 0, 0, -2, 0, -2, -1, 0, -2, -1, 0, -2, 2, -1, 0, 1, 0, 0, 2, 0, 1, 4, 2, 1, 0, -2, 0, 1, -1, 1, 0, 0, 1, 0, -1, 1, -1, 2, 0, 0, 1, 0, 2, 2, 4, -1, 0, -1, 0, -1, -2, 2, 0, 0, -1, 0, 1, -1, -2, 0, 1, -1, 1, -2, 0, 1, -1, 4, 1, -1, 1, 0, 1, -1, 1, 0, 2, -1, 1, 2, 2, 1, 2, -2, -1, -2, 0, 0, 0, 1, 4, -1, 1, 0, 1, 0, -1, 1, 1, 0, 2, 0, 2, -1, 0, 0, -1, 2, -2, -2, -1, -1, -1, 4, -1, 1, 1, -1, 0, 0, -1, 1, -1, 0, -1, 1, 1, -1, -2, -3, 0, 0, 0, 1, 1, -1, 4, -1, -1, -1, 0, 0, 0, -1, 2, 1, 1, -1, 0, -1, 1, 2, -2, 1, -1, 0, 0, 1, -1, 4, 1, 0, 0, 0, 1, 1, -3, 1, 0, -1, 1, 0, 0, 1, -1, -1, -2, 1, 1, 1, -1, 1, 4, -1, 0, 0, 2, 1, -1, 0, 1, 1, -1, 1, 2, 2, 0, 1, 2, -1, 0, -1, -1, 0, -1, 4, 1, 0, -1, 0, 0, -1, -1, -2, -2, 2, 3, 0, -2, 0, 0, 1, -1, 0, 0, 0, 0, 1, 6, 0, 2, 1, -1, 2, 1, 1, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, -1, -2, 1, 0, 2, -1, 0, 1, -1, 2, 1, -1, 0, 1, 2, -1, 2, 0, 6, 1, 0, 2, 3, -2, 0, 1, 0, 2, -2, 0, 0, -1, 0, 1, -1, 1, 1, 0, 1, 0, 1, 4, -2, 0, 0, 2, 2, -1, -2, -3, 2, -1, 1, 1, 2, -1, 2, -3, -1, 0, -1, 1, 0, -2, 6, 0, 1, -1, 0, 0, 1, -1, -1, 1, -1, 2, 0, 0, 1, 1, 0, -1, 2, 0, 2, 0, 0, 4, 1, -2, 1, -1, 1, -2, 0, -1, -2, 2, 2, -1, 1, 0, 1, -1, 1, -1, 3, 0, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, 2, 0, 0, 0, -1, -1, 1, 2, 1, -1, -1, 1, -2, -1, 1, -1, 2, 1, 1, 2, 4, -2, 1, 0, 0, 1, -1, 0, 0, 0, 0, -2, -1, -1, -2, -1, 0, 0, 0, 2, 1, -1, -2, 6, -3, -1, 1, 1, -2, -1, -2, 1, 2, 1, 1, 2, 3, -1, 1, 2, 1, -3, 1, 2, 1, -3, 6, 2, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -3, 2, 1, -1, 1, 0, 1, 0, 0, -1, 2, 4, 2, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 4, 0, 0, -2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, -1, 2, 0, 1, 1, 1, 0, 0, 4, -1, -1, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, -2, 1, 0, 0, -1, 4, 1, 2, 0, -2, 1, 1, 0, -1, 1, 0, 0, -1, 0, -1, -1, 0, -1, -1, -1, -2, -1, 1, 4, 1, 0, -2, 0, 0, -2, 0, 1, 1, -1, -1, 0, -1, 1, 0, -2, 1, 0, 0, -1, 2, 1, 4, 0, -1, 0, -1, 0, 0, 1, 1, -1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 2, -1, -1, 1, 0, 2, 0, 1, 1, 0, 2, -1, 0, 0, 1, -2, -2, -1, 1, 4, -1, 0, 2, 1, -1, 0, 0, 1, 1, 0, -1, -2, 1, 1, 0, 0, 0, 1, 0, 0, 0, -1, 4, 2, -1, 1, 1, 1, 0, 1, -3, 0, -1, -1, 1, 1, 0, 0, 1, 1, 0, -1, 0, 0, 2, 4, -1, 0, 1, 1, 0, 0, -1, 0, 1, -1, 2, -1, 1, 2, -1, 0, -2, 0, 2, 2, -1, -1, 6, 0, -2, -1, 2, 1, 0, 0, -2, -2, 3, -3, -1, 1, 0, -1, 0, 0, -1, 1, 1, 0, 0, 6, 1, 0, 0, 0, -2, 1, -1, -1, -1, 2, 0, 0, 0, 1, 1, 1, -1, -1, 1, 1, -2, 1, 4, 1, -1, -1, -1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, -1, 0, 1, 4, 0, 1, -1, 1, -1, 0, 2, -1, 1, 2, 0, 0, -1, -1, 0, 0, 0, 0, 2, 0, -1, 0, 4, -1, -1, 1, 2, 0, 1, 1, 0, 0, 1, -1, -1, 0, 2, 1, 1, 0, 1, 0, -1, 1, -1, 4, 0, 1, 1, 2, -3, 0, 1, -1, 0, 0, 0, 0, 0, 1, -3, -1, 0, -2, -1, -1, -1, 0, 6, -1, 1, 1, 1, 1, 1, 2, 1, -1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 0, -2, -1, 1, -2, 0, 1, -1, 0, 0, 1, 1, 1, 0, 1, 1, -1, -1, -2, 4, 1, -1, -1, 0, 2, 0, 2, 1, -2, 1, -1, 1, 0, -1, 1, -1, -1, -1, 1, 1, 0, 1, 4, 0, 1, -1, 1, -1, -1, 0, 1, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, -1, 0, -1, 0, 4, 2, 0, -2, 1, 1, -2, 2, -1, 1, 1, 1, 1, 0, 2, 1, 0, -1, -1, 0, -1, 1, 2, 4, 1, -2, -1, 1, -1, 2, -1, 0, -1, 1, 1, 1, 0, -1, 1, -1, -1, -2, 0, -1, 0, 1, 4, -1, 0, 2, 0, 0, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, -1, 2, 1, -2, -2, -1, 4, 0, -1, 1, -1, 1, -1, 0, -1, -1, -1, 0, 0, -1, 1, 1, 1, 0, -1, 1, -1, 0, 0, 4, 0, -1, 1, 0, -1, 2, 0, 0, 0, 1, 2, -1, 0, -1, -2, 2, -1, 1, 1, 2, -1, 0, 6, 1, -1, 1, -1, 1, 1, 1, 0, -1, -1, 0, 1, 0, 0, 1, 0, -2, -1, 0, 1, -1, 1, 4, -1, 1, -1, -1, -1, -1, 0, -2, -2, 0, 1, 0, 1, -2, 1, 2, 2, 0, -1, 1, -1, -1, 6, -2, -1, 1, 1, -1, -1, 2, 1, -1, -2, -1, -1, 1, 0, -1, -1, 0, 1, 0, 1, 1, -2, 4, -1, 0, -2, 0, 0, 0, 0, 1, 1, -1, 0, -1, 0, 1, 0, -1, -1, -1, -1, -1, -1, -1, 4, -1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, -1, 0, 0, 2, 1, -1, 1, 0, -1, 4, 0, 0, 0, 1, 1, -1, 0, 0, 1, 0, 0, 1, 1, -1, -1, 0, 1, -1, 1, -2, 1, 0, 4, 0, 0, 0, 1, 0, -1, 1, 1, -1, -1, 1, 1, 0, -1, 0, 1, -1, -1, 0, 0, 0, 0, 4, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, 4, -1, -1, 1, 0, 0, 0, -1, 0, 2, 0, -1, 0, 1, -1, -2, 2, 0, 1, 1, 0, 0, -1, 4, 2, 0, 0, 0, 1, -1, -1, 1, -1, -1, 0, 2, -1, -2, 1, 0, 0, 1, 1, 0, -1, 2, 4, -1, -1, 0, 1, -1, 1, 0, 1, 0, -1, -1, 0, 0, -1, 1, 1, -1, 0, 1, 1, 0, -1, 4, 1, -1, -1, 1, 0, -1, -1, 0, 1, 0, 1, 1, -2, 1, 1, 0, -1, 0, 0, 0, -1, 1, 4, 0, -1, 1, -1, -1, -1, 0, 1, -1, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, 1, 1, -1, -1, 0, 0, 1, 2, 1, 1, 2, 1, -2, 0, 2, 0, -1, -2, -2, 4, 2, 1, -1, -1, 1, 1, 1, 1, -1, -1, 0, -2, -1, -1, 2, 1, -1, 1, 1, 2, -2, 2, 4, 1, 0, -1, 0, 2, 0, 0, -2, -1, 0, -1, -2, -2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 4, -1, 1, 0, 2, 0, 1, -1, 1, -1, 0, 0, -2, -1, -1, -1, 1, -1, -1, 1, -1, 0, -1, 4, 0, -2, 0, 1, -1, 1, 0, -1, 1, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, -1, 1, 0, 4, -1, 1, -1, -1, 0, 2, 0, 2, 2, 0, -1, 0, 1, 1, -2, 0, -1, 1, 0, 0, -2, -1, 4, 0, 1, 0, -1, 0, 0, -2, 0, 0, -1, -1, -1, 1, 1, 1, -1, 1, 2, 2, 0, 1, 0, 4, 0, 0, -1, 1, 0, 1, -1, -1, 1, -1, 0, 0, -1, 1, 0, 1, 0, 0, 1, -1, 1, 0, 4, 1, 1, 0, 0, -2, 0, 1, 0, -1, -1, 0, 0, 1, 0, 1, 0, 1, -1, -1, 0, 0, 1, 4, 0, -1, 1, -1, 0, 1, 1, 0, -1, 1, -1, 0, 1, -1, -2, -1, 1, 0, -1, -1, 1, 0, 4, 0, 1, 1, 1, 2, -1, 0, 0, -1, 0, -2, 2, -1, -1, 1, 0, 2, 0, 1, 0, -1, 0, 4, 0, 1, 2, 0, -1, -1, 1, 1, -1, -1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 4, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, -2, -1, 0, 1, 2, -2, 1, -2, -1, 1, 1, 0, 4, 0, 0, 0, 0, 1, -1, -1, -1, 2, -1, -2, 0, -1, 2, 0, -1, 0, 0, 1, 2, 1, 0, 4, 1, -2, 0, 1, 1, -1, -2, 1, -1, -2, -2, 0, 0, 0, -1, 1, 1, 2, 0, 2, 0, 1, 4, 0, 0, 0, 0, -1, 0, -2, 2, 2, -1, 1, -1, -1, 1, 0, 1, -1, -1, 0, 0, -2, 0, 6, 2, -1, 1, 0, 3, 0, 1, 1, -1, 0, 0, -1, -1, -1, 0, 0, -1, 1, 0, 0, 0, 2, 4, 1, 1, 1, 1, 2, -1, 0, -1, 1, 1, -1, 0, -1, -1, 0, 1, 1, 1, 1, 0, -1, 1, 4, -1, 0, 0, 0, 1, 0, 1, -1, 1, 1, 0, 0, 1, -1, 1, 0, -1, 1, 0, 1, 1, -1, 4, 0, 1, -1, 1, 1, -1, 0, -2, 1, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, 1, 0, 0, 4, 0, -2, 2, 2, -1, 1, 0, 1, 1, 1, 0, -2, -1, 0, -1, -2, 0, 3, 1, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, 0, -1, -1, 0, 1, -2, -1, -1, 1, 2, -1, 0, -2, 2, 2, -1, 1, -1, 0, 0, 4, 0, 0, 2, 0, 2, -1, 1, -1, -1, 2, 0, 2, 1, -2, 0, 2, 0, 0, -2, 2, 0, 0, 4, 2, 0, -2, -1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0, 0, -1, -1, 1, 1, 0, 0, 2, 4, 1, -2, -1, -1, 0, 1, 1, -2, -2, 0, 1, 1, -1, 1, 1, 1, 0, 1, -1, 2, 0, 1, 4, 1, 1, 0, 1, -1, 1, 0, -2, 2, 0, -1, -1, 2, 1, 1, -2, 2, -1, 0, -2, -2, 1, 4, 0, 1, 0, -1, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 2, -1, -1, 1, 0, 4, -1, 1, 0, -1, 2, 0, 2, 0, -2, 1, 0, 1, -1, -2, 1, 1, -1, 0, -1, 0, 1, -1, 4, -2, -2, 0, -1, 0, -1, -2, 0, 1, 1, -1, 0, 1, 0, -2, 1, 0, 0, 1, 0, 1, -2, 4, 0, 0, 0, -1, 2, 0, 1, -2, -1, 0, 0, 0, 1, -1, -1, 0, 1, -1, -1, 0, -2, 0, 4, 1, 0, -1, 0, 1, 0, -1, -1, 2, 0, 1, -1, -1, -1, -1, 1, 1, 0, -1, 0, 0, 1, 4, -2, -1, 0, 1, 0, -1, 0, 1, 2, 0, -1, 1, 2, -1, -2, 0, 1, 2, -1, 0, 0, -2, 6, 3, 0, -1, -1, 2, 0, 0, -1, -3, 0, 2, 0, -1, -2, -2, 1, 0, 0, -1, -1, -1, 3, 6, -2, 0, -1, 2, -2, -1, 0, -2, -2, -1, 2, 0, 0, 2, 0, 2, -1, 2, 0, 0, 0, -2, 4, 0, -1, -1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, -1, 0, -2, 0, 1, 1, -1, 0, 0, 4, -2, -1, 0, 1, 1, -1, 0, -2, -2, 1, 1, -1, 0, -2, 0, 1, 0, 0, -1, -1, -1, -2, 6, 0, -2, -1, -1, 2, 0, 2, 0, 0, -1, -1, 0, 1, 1, -2, -1, -1, 2, 2, -1, -1, 0, 4, 0, -1, -1, -1, 0, 2, 2, 0, 1, 2, -1, 0, 1, -1, -1, 0, 0, -2, 1, 0, -2, 0, 6, 0, 2, 0, 2, -1, 0, -1, 1, 1, 0, 1, -1, 0, 2, 1, 0, -1, 0, 1, -1, -1, 0, 4, 0, -1, 0, 1, 0, -1, 1, 1, 0, -1, 0, 0, 0, 2, -1, 0, 0, 1, -1, -1, 2, 0, 4, 0, 0, -1, -2, 1, 0, -2, -1, -2, 1, 0, 1, 0, -3, -2, 0, -1, 2, -1, 0, -1, 0, 6, -1, 0, 2, 1, 1, 2, 0, 1, 0, 1, -1, -1, 0, -2, 2, 0, 0, 0, 2, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 0, 1, 2, -2, -1, -2, -2, 1, 1, 0, -2, -1, 1, 0, -1, 1, 1, 1, -1, 0, 2, 6, 1, 2, 0, 0, 0, -3, -2, 1, 0, -1, -1, 0, -1, 2, 1, 1, 2, -2, 1, 1, 0, 1, 4, -1, -1, 1, 2, -1, 1, 2, 1, -1, -1, 2, 1, 0, 0, 1, -1, -2, -1, 2, 1, 2, -1, 4, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -2, 0, -1, 1, 1, -1, 0, 0, 2, 0, -1, 0, 4, -2, -1, -1, -1, 1, 0, 1, -1, -1, 2, -1, -1, 1, 0, 1, -1, 0, -2, 0, 1, 0, -2, 4, 2, 1, 2, -1, -1, 0, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 0, 2, 0, -1, 2, 4, -1, 1, 1, 1, 0, -1, 2, 1, -1, -1, 1, -2, -2, -1, 2, -2, -3, -1, -1, -1, 1, -1, 4, 1, -2, -1, 0, 2, -1, -1, 0, 0, -1, 0, 1, 1, -1, -2, -2, 1, 0, -1, 2, 1, 1, 4, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -1, 0, 1, 1, 1, 2, 0, 1, -1, 1, -2, 0, 4, 1, 0, -1, 1, 1, 0, -1, 1, -1, -2, -1, 1, 1, 0, 1, 0, 0, -1, 1, -1, 0, 1, 4, -1, -1, 1, 0, -1, 0, 2, 0, -1, -2, 1, 0, -1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 4, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -2, -1, -1, 0, -1, 1, -1, 2, 1, -1, -1, 1, 4, 0, -1, 1, 1, -1, 0, -1, 1, -1, -1, 0, 2, 0, -1, 1, 2, -1, 1, 1, 1, -1, 0, 4, 0, -1, 0, 0, -2, -2, -1, 2, 1, -1, 1, -2, 2, -1, 1, -1, -1, 1, 0, 1, -1, 0, 6, -2, -1, 0, -2, 0, -2, 1, 0, 2, 0, 0, -1, 1, -1, 0, 0, 0, -1, 0, 1, -1, -2, 4, 2, -1, 1, 0, 2, 0, -1, 1, 0, -1, -1, 1, -1, 0, 0, -1, 0, 0, 1, 0, -1, 2, 4, -1, 1, 0, 1, 0, 1, 1, 1, 1, 1, -1, 1, -1, 0, 1, 2, 0, -1, 0, 0, -1, -1, 4, 1, -1, -1, 1, 1, 2, -1, 1, 0, -1, -2, 0, -1, -1, 0, 0, 0, -2, -2, 1, 1, 1, 4, 0, 1, -1, 1, -2, -2, -1, 1, -1, -2, 1, -1, -2, -1, 0, -1, -2, 0, 0, 0, -1, 0, 6, 1, -2, -1, 1, -1, 0, -1, 1, -1, 1, 0, -1, -2, 0, 1, -1, -2, 2, 1, -1, 1, 1, 4, -1, 0, 1, 2, 0, 0, 1, 2, -1, 1, 1, 1, -1, -1, 2, 1, 0, 0, 1, -1, -2, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 0, -1, 2, -2, -1, 2, -2, -2, 1, -1, 2, 0, -1, 1, 2, 1, 4, -1, -2, -1, 2, -1, 1, 0, 0, 1, 1, -1, -1, -1, -1, 0, 0, -1, 1, 1, 2, -1, -1, 4, 0, 0, 0, 1, 1, 2, -1, -1, 0, 1, 0, 0, 0, -1, -1, 2, 0, -1, 1, -1, -2, 0, 4, 0, -2, 1, -2, 1, -1, -1, 1, 1, 2, 0, 0, 0, -1, 1, 0, -1, -1, 1, -1, 0, 0, 4, -1, 2, 0, -1, 1, -2, -2, 2, 0, 0, 1, -1, 2, 1, 0, 1, 0, 1, 2, 0, -2, -1, 4, 0, 1, 0, 0, 1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 1, 2, 2, -1, 1, 1, 2, 0, 6, 0, 0, 2, -4, 0, 4, -1, -1, 2, 0, 1, 3, -2, -1, 1, 0, 1, 1, -2, 0, 1, 0, 4, 1, 0, 1, 0, 1, -2, 1, -1, 1, -1, 1, 0, 0, 2, -1, 0, 2, 1, -1, 0, 0, 1, 4, -2, 1, 1, 1, 0, 0, -1, 0, -2, 1, 1, -1, 2, 2, 0, -1, -1, 1, 0, 2, 0, -2, 4, -1, -1, 2, -2, -1, 2, 1, 1, 0, -1, 1, -1, -2, 1, -1, -1, -2, 1, -4, 1, 1, -1, 6, 1, -3, 0, 2, -1, 1, -2, -2, 2, 1, -1, -1, 1, 0, 1, -2, 1, 0, 0, 1, -1, 1, 4, -1, 1, 0, -1, 1, -1, 1, 1, -1, 0, 2, -1, 1, 1, 2, -1, 4, 1, 1, 2, -3, -1, 6, -2, -1, 1, 0, 0, 2, -1, 0, 2, -2, -1, 0, 2, 0, -1, -1, -2, 0, -2, 0, 1, -2, 4, 1, 0, 0, 0, 0, 1, -1, -2, -2, -1, 0, 0, 0, 0, -1, 1, 0, -1, 2, 0, -1, 1, 4, -1, 1, -1, 0, 1, -1, -1, 1, -1, 0, 0, 1, -1, 2, -1, -1, 2, -1, -1, 1, 0, -1, 4, 1, 1, 0, -1, 0, -1, -1, 0, -1, 0, -1, -1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 4, -1, 0, 0, -1, -1, 2, 0, -1, -1, 2, 0, 1, -1, -2, 1, -2, -1, 0, 0, -1, 1, -1, 4, 0, 0, 1, 0, 0, -1, 2, 1, 1, 0, 3, 1, 1, 0, -2, 1, 2, 0, 0, 0, 0, 0, 4, -1, -1, 1, -1, 1, 0, 0, 0, 0, -2, 0, 1, -1, 2, 1, -1, 1, 1, -1, 0, 0, -1, 4, 1, 0, 1, 1, -1, -1, 1, 1, -1, 0, -1, 1, 1, -1, 0, -1, -1, 0, -1, 1, -1, 1, 4, 0, 2, 2, 1, -1, 0, 2, 1, 2, 2, -1, -1, 0, 2, -2, -1, -1, -1, 0, 1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 1, -1, 0, 0, 0, -1, 1, -1, 2, 1, 1, 0, 2, 0, -2, -2, -2, 1, -2, 4, -2, 1, -1, 1, 0, 1, 0, 1, -2, -1, -1, 0, -1, 1, -2, 1, 2, 1, 0, -1, 2, -2, 4, -1, 0, -1, -1, -1, 0, -1, 0, 0, 2, 0, 0, 0, 1, 0, -2, -2, -1, 1, 0, 1, -1, 4, -1, 2, 0, 0, 0, 2, 0, -1, -2, 1, 1, 0, 1, 2, -1, 2, -2, 1, 1, -1, 0, -1, 4, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, -1, 0, 1, 0, 1, 0, -1, 1, -1, 2, 0, 4, -1, 0, -1, 2, -1, 1, -2, 0, 1, -1, 0, 1, -1, 1, -1, -1, 0, 0, -1, 0, 0, -1, 4, -1, -1, 0, 1, 0, 0, 1, -1, -1, 1, -1, 0, -1, -1, 1, 0, 1, -1, 0, 1, 0, -1, 4, 0, 0, 1, 0, 0, 1, -1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 4, 1, -1, -2, 0, -1, 1, 0, 0, 0, 2, 2, 2, -1, -1, 1, -1, 2, 0, 2, 0, 0, 1, 4, 0, 0, -2, 1, 0, -1, 0, 1, 0, 2, 0, 0, 1, -2, 0, 0, 1, -1, 1, 1, -1, 0, 4, 1, 0, 1, -1, 0, 1, 0, -1, 0, -1, 2, -1, -1, 0, -1, 1, 1, 0, 0, -2, 0, 1, 4, 0, 0, -1, 0, -1, 0, 0, -1, 1, 0, 2, -1, 2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 4, 0, 0, 1, 0, -1, 0, -3, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, -1, 1, 1, 0, 0, 4, 0, 1, 0, 1, 0, 0, -1, 2, 1, -1, 0, 1, 0, 1, -1, -1, 1, 0, -1, -1, 0, 0, 4, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, -1, -1, 2, 0, -1, 0, 0, 1, 1, 0, 4, -2, 1, 2, 0, 1, 1, 2, -2, 1, 1, -1, 0, 1, 0, 0, 0, 1, -1, 0, 0, 1, -2, 6, -2, -2, -1, -3, 1, 0, 1, 0, 2, 0, 1, -1, 0, 0, 1, 0, 0, -1, 1, 0, 1, -2, 4, 0, 2, 0, 1, -2, 2, -2, -1, 1, -1, 0, 2, 2, 0, -1, 0, 0, 0, -1, 2, -2, 0, 6, 1, 3, -1, -2, 1, -2, 2, 0, 1, -1, 0, 2, 2, 0, -1, -3, 0, 1, 0, -1, 2, 1, 6, 2, 0, -2, 0, -1, -2, 1, -1, -1, 0, 2, 0, -1, 1, 0, -1, 0, 1, -3, 0, 3, 2, 6, -2, 1, -1, 1, 1, 0, -1, 1, 0, -1, 0, 2, 0, 0, 2, 0, 1, 1, 1, -1, 0, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, -1, 0, 0, -2, 1, -1, 1, 0, 1, 1, 1, 0, -1, 1, -2, -1, 0, 1, 4, 0, 0, 0, 1, -1, 1, 1, -1, -1, 1, 1, 1, 0, 0, -1, 1, 2, 1, -1, -1, 2, 0, 4, -2, 0, 0, -1, -1, -1, 2, 0, 1, 1, -1, 1, 0, 0, -1, 0, -1, 0, -1, -2, 0, -2, 4, -1, 1, -1, 0, 1, -1, 0, -1, 0, 0, -1, -1, -1, 1, 0, 1, 0, 1, 1, 0, 0, -1, 4, 0, 2, -1, -2, 0, 0, 1, 1, 1, 2, 1, -1, -2, -1, -2, -1, 0, -1, 1, 0, 1, 0, 4, -2, 0, 2, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, -1, -1, -1, 2, -2, 6, 0, 0, 0, 1, 2, -1, -1, 0, -1, -1, -2, -2, 0, -1, 1, 0, 1, -1, 0, -1, 0, 0, 4, 0, -1, -1, -1, 0, 0, 0, -1, 1, 2, 0, 0, -1, 0, -2, 1, -1, 1, -2, 2, 0, 0, 6, 0, -1, -1, -2, 0, -3, -1, -1, 0, 0, 4, 1, 1, 1, -1, 2, -1, 0, 0, 0, -1, 0, 4, 1, 0, -1, -1, 1, -1, -1, -2, 0, -1, 1, 1, -1, -1, 0, 0, 0, -1, 1, -1, -1, 1, 4, 0, 1, -2, 0, 0, -1, 0, -1, -1, 0, -1, 1, 1, 1, -1, 1, -1, 2, -1, -1, 0, 0, 4, 1, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0, 1, 1, 0, 1, 0, -1, 0, -2, -1, 1, 1, 4, 0, 1, 1, -1, 1, 0, -1, -1, -2, 1, 1, -1, 0, 1, 0, -1, 0, 0, -1, -2, 0, 0, 4, 0, 2, 0, 0, 1, -1, 0, 1, 1, 0, 1, -1, 2, 0, 0, 0, -3, 1, 0, 1, 1, 0, 4, 0, 0, -1, 0, -2, 0, 0, 1, 0, 0, -1, 1, 0, -1, -1, -1, -1, 0, 0, 1, 2, 0, 4, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 1, -1, -1, -1, -1, -1, 0, 0, 1, 4, 1, 0, 0, 1, 0, -1, 1, -1, 1, -2, 0, -2, 2, 0, -2, 0, -1, 1, 0, -1, 0, 1, 4, 1, 1, 0, -1, 1, 2, 0, 0, -1, 0, -2, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, -2, 1, -1, 1, -2, 2, 0, 0, 4, -1, -1, 0, -1, -1, -2, -1, 0, 1, 0, 6, 2, 0, -1, -1, 0, 0, -1, 1, -1, -1, 1, 1, 0, -1, -1, 0, 0, 0, 1, 0, 0, 2, 4, 0, 0, -1, -1, 1, 0, 0, 1, 0, 1, 1, -1, 0, -2, 1, 0, 0, 0, -1, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 2, -1, 0, 2, 1, -1, 1, 2, -1, 2, 1, 1, 0, -1, 2, 1, -2, 1, 1, 4, 0, 0, 1, 1, 0, 1, 1, -1, 1, -1, -1, 1, 0, 0, -1, 0, 1, 0, 0, -1, -1, 0, 4, -2, 0, 1, 0, -2, 1, 1, -1, -2, 0, 0, 0, 1, -1, 2, -2, -1, 2, -1, 1, 0, -2, 4, 1, -1, 0, 1, 0, -2, 2, 2, 1, 0, 0, 0, 0, -2, 2, 2, 0, 0, 2, 1, 0, 1, 4, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, -1, 0, 0, 1, 0, 0, -1, 1, 1, -1, 1, 4, -1, -1, 0, 1, 0, 0, 1, 0, 0, 1, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 4, 1, 1, -1, 1, -2, 1, 1, -2, 1, 2, 1, 1, -1, 1, 0, 2, 1, -2, 1, 2, -1, 1, 6, 2, -1, 1, 2, 1, 2, 1, 1, 1, -1, 1, 1, -2, -1, 1, 1, 1, 0, 1, 0, 1, 2, 4, -1, 0, 0, 0, 2, 0, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -2, 0, 1, -1, -1, -1, 4, 0, 0, 0, -1, 1, 0, 0, 1, -3, -1, 0, 0, 1, 1, -1, 2, 2, 0, 1, 1, 0, 0, 4, 1, 1, 1, -1, 1, 0, -1, 1, 1, 0, 0, 2, -1, -2, 2, 1, 0, -2, 2, 0, 0, 1, 6, 1, 1, 2, 1, -1, -3, 2, 2, -3, 0, -1, -1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 4, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, -1, 1, 1, 0, 4, -1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 1, 0, 1, -1, 2, 0, -1, 4, -1, -1, -1, 0, 1, -2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, -1, 4, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -1, -2, 2, 1, 1, 0, 0, -1, 0, 0, -1, 0, 4, 1, 0, -1, 1, 1, -1, 0, 2, -2, 0, 0, 1, -1, 1, 1, -1, -3, 0, 0, -1, 0, 1, 4, -2, -1, 3, 0, 2, 1, -2, 2, 0, 0, 1, 1, 1, -3, 1, 2, 0, 1, 0, 0, 0, -2, 6, 0, -2, 1, 1, 0, -1, 2, 1, -1, -1, 1, -1, -1, 1, 2, 1, 0, 1, 0, -1, -1, 0, 4, 0, 0, -2, 0, 2, 0, 0, 0, 1, -2, 1, 0, 0, -3, 1, 0, -2, 0, 1, 3, -2, 0, 6, -1, 1, -1, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 1, 2, 0, 1, 0, -1, -1, 2, -2, 1, 0, -1, -1, 1, 1, -1, 2, 1, 4, -1, -2, -1, 0, 1, -1, 2, 1, -2, 0, 1, 1, -1, 0, 0, -2, 0, 2, 1, 1, -1, -1, 4, 0, 0, 1, 0, 2, 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 0, -1, -2, 0, 4, 0, 0, -1, -1, -2, 0, 1, 0, -2, -1, 1, 1, 1, 0, 0, -2, 1, -2, 1, -1, 0, 0, 4, 0, 1, -1, -1, -2, 0, 0, 2, -2, 2, 1, -2, -1, -1, -1, 0, 0, 1, 0, 1, 0, 0, 4, 1, 2, 0, 1, -1, -2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, -1, 1, 1, 4, 1, 1, 1, 0, 0, 1, 0, 1, -1, -2, -1, 0, 1, -1, 0, 0, -1, 2, -1, -1, 2, 1, 6, 0, 1, 1, 0, -1, 2, 0, -1, 0, 1, -1, 0, -1, 1, 1, 2, 0, -2, -1, 0, 1, 0, 4, 0, 0, 0, 0, 1, -2, 0, -1, -1, 0, 2, 0, 2, 0, 1, 1, 0, -2, 1, 1, 1, 0, 4, 0, 0, 0, 1, 0, -1, 1, 0, 1, 1, 0, -1, -1, -2, 0, 1, 0, -1, 0, 1, 0, 0, 4, 1, -2, 1, 0, 0, 0, 1, 0, -1, 0, -1, -1, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 4, -1, 2, 0, -1, 1, 0, 0, -1, 0, -1, 2, 1, 0, -2, 2, 2, 1, -1, 0, 0, -2, -1, 6, -2, 0, 0, -1, 0, 0, 1, -1, 3, -2, 1, -1, -1, -2, 0, 0, 2, 1, 1, 1, 2, -2, 6, -2, 0, 2, 1, 0, 0, 1, -1, 1, -1, 0, 1, 2, 0, 1, 0, -2, 0, 0, 0, 0, -2, 4, 0, -1, -1, 0, -1, 0, -1, 0, 0, 0, 1, 1, 1, -1, -1, 0, -1, 0, -1, 0, 0, 0, 4, 1, -1, -1, -1, 2, 1, -1, 0, -1, 1, -2, 0, -2, 0, -1, 1, 0, 1, -1, 2, -1, 1, 4, 1, 1, -1, 1, 0, -1, -2, 0, 0, -1, 0, -1, 1, -1, 0, 1, 0, 0, 1, -1, -1, 1, 4, 1, 0, -1, 0, 1, 0, -2, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 1, 4, 0, -1, 0, 1, 2, 0, -2, -1, 0, 1, 0, 2, 1, -1, -1, 1, 0, -1, -1, -1, 0, 0, 4, 0, 1, -1, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, -1, 1, 0, 2, 1, -1, -1, 0, 4, -1, 2, 1, 0, -2, 0, 2, 0, 1, 2, -1, -1, -1, 3, -1, -1, 1, 0, 0, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, -1, 1, 2, 0, 2, 0, 2, 1, 1, -1, 2, -2, 0, -1, 0, 1, -1, 0, 1, 4, -2, 2, -2, 0, 0, 1, -1, -1, 1, -1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, -1, -2, 4, -1, 1, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 1, 2, 2, -1, 8, 1, 2, 1, -2, 0, -2, 4, -1, 1, 2, 1, -3, -1, 3, -1, 3, 2, -3, -1, -2, 1, 1, 6, 2, 1, 0, -1, 1, 0, 2, -1, 2, 1, -1, -3, -1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 4, 2, -1, -1, -1, 2, 0, -1, 0, 1, -1, -2, 1, -1, 0, 1, -1, 2, 0, 0, 1, 1, 2, 4, 1, 1, 1, 1, 0, 1, 0, 2, -2, -1, -1, 1, 0, -1, 1, 0, 1, 0, -2, 0, -1, 1, 4, 0, 2, -2, 0, 1, -1, 0, 1, 1, -2, 2, -1, -1, 2, 2, -1, 1, 0, -1, -1, 1, 0, 4, 1, 0, 1, 2, 0, 1, -1, 0, -1, 1, 1, -1, 1, 0, -1, 0, -2, 1, -1, 1, 2, 1, 4, -2, 2, 1, 1, 1, -1, 0, -3, 2, 1, -1, 2, 2, 1, -1, 4, 0, 2, 1, -2, 0, -2, 6, 1, 0, 0, 2, -3, 0, 3, 0, 2, 0, -2, 1, -1, -1, -1, 2, 0, 0, 0, 1, 2, 1, 6, -1, 1, 1, -1, 0, -2, 1, 3, -1, 2, 1, 0, 0, 1, -1, -1, 1, 1, 2, 1, 0, -1, 4, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 0, 2, 2, 0, 0, -1, 0, 1, 0, 1, 1, 4, 0, -1, -1, 0, 0, 2, 1, -1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 4, -2, -1, -1, 1, 1, -1, 1, -2, 1, 1, -3, -1, -1, -2, 1, -1, -1, -3, -1, -1, -1, -2, 6, 1, 0, -1, -3, 0, 2, 0, 1, -1, -1, -3, -2, -1, 1, 0, 0, 0, 0, 1, -1, -1, 1, 4, 0, 0, 0, -1, 0, -1, 1, 1, 3, -1, 1, -1, -2, -1, -3, 3, -2, -1, 0, -1, 0, 0, 6, -1, 0, 2, -2, 0, 0, 0, -1, 1, -1, 1, 2, 1, 2, 0, 1, 1, 0, 1, -1, 0, -1, 4, 0, -1, 2, 1, -1, -1, 3, 2, 0, 0, -1, 1, 1, 2, 3, 1, 2, 1, -3, 0, 0, 0, 6, 1, -1, -1, 0, 0, 2, 1, 1, -1, -1, -1, -1, 0, -1, -1, 1, -1, 0, -1, 2, -1, 1, 4, -2, 0, 0, 1, -3, 1, -1, 1, 2, 1, 2, -2, 2, -1, -1, 1, 2, 0, -2, 2, -1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 1, 1, 2, -1, -2, -1, 1, 1, 0, 1, 1, 0, 0, -1, -1, 1, 0, -1, 2, -2, 4, 1, 0, 1, -1, 2, 2, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, 1, 6, 2, 2, 0, -1, 1, 0, 2, -1, 2, 1, 2, -1, -2, 1, 1, -2, -3, -2, -3, 1, 0, 2, 6, 2, 2, -2, 1, -1, -1, -1, 0, 0, -1, 0, -2, 1, -2, 0, 0, 1, 1, 1, 1, 2, 2, 6, 1, 1, 0, 1, 2, -1, 2, 2, 1, 1, -2, 1, 1, 0, -3, 1, -1, 2, -1, 0, 2, 1, 6, -3, -1, -2, -2, 0, 2, 0, 1, -2, -2, -2, -3, 2, -1, 1, 2, -1, 2, -1, -2, 1, -3, 6, 0, 2, 2, 0, -1, 0, 0, 1, 1, 2, 0, 0, 1, -1, 0, -2, 2, 1, 1, 0, -1, 0, 4, 1, -2, 1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, -1, 1, -2, 2, 1, 4, 2, 0, 0, -1, 0, 0, 1, 1, 2, 1, -1, 0, -1, 1, -1, 2, -1, 2, -2, 2, -2, 2, 6, -1, 0, 1, 2, 0, 0, 2, 3, -1, -1, -2, -2, 1, 1, -1, -1, -1, 0, 0, 1, 0, -1, 4, 0, 1, 1, 0, 1, -2, -1, 1, 0, -1, 2, 0, 0, 2, 0, 2, 2, -1, 0, 0, 0, 0, 4, 1, 2, -1, -1, -1, 0, 1, -2, 0, -1, 1, 1, 1, 0, 2, 0, 0, 0, -1, 1, 1, 1, 4, 2, 1, 0, 0, 0, -1, -1, -1, -1, 1, 0, 2, -1, 1, 1, 0, -1, 0, 2, 1, 2, 2, 4, -1, 0, -1, 0, 0, -2, -2, -1, 0, 0, -1, 0, 1, -2, 1, 0, 0, 0, 0, -1, 1, -1, 4, 0, 1, 1, -1, 1, 1, 0, 0, 0, -2, -2, -2, -2, 1, 0, 1, 0, 1, -1, 0, 0, 0, 4, 0, 0, 0, 1, -1, 1, -1, 0, 1, 1, 1, -2, 2, 0, 1, 2, -2, -1, 0, -1, 1, 0, 4, 1, -1, 1, 0, -1, -1, -1, 1, -2, 1, -3, 0, 0, 2, 3, -1, 0, 0, 0, 1, 0, 1, 6, -1, -1, 1, -3, 1, -1, -2, 0, 0, 2, 0, 0, 1, -1, 1, 1, -1, 0, -1, 0, -1, -1, 4, 0, 1, 2, 0, -1, -3, 0, -3, -1, 1, -1, -1, -1, 0, -2, -1, -2, 1, 1, 1, -1, 0, 6, 1, 2, -1, 0, -2, 1, 1, 1, -1, 1, 0, -2, -1, 0, -1, -2, 1, -1, 0, 1, 1, 1, 6, 0, 2, 0, -3, 1, -1, 2, 0, -1, -1, -2, 2, -1, -1, -1, 0, 1, -1, -3, 2, 2, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, 1, 0, 1, 1, -1, 0, -1, -1, -2, 2, -2, 2, 1, -1, 0, 1, 2, -2, 4, 2, 1, 1, 1, 0, 1, 0, 0, 0, -1, 0, 2, 0, 2, -1, -1, -1, 0, -1, 0, -2, 2, 4, 1, 1, 0, 0, 1, -1, 0, 1, -1, -1, 2, -1, 1, -2, -1, -1, -1, -1, -1, 0, 1, 1, 4, -1, 2, 0, 2, 1, -2, -1, -2, 0, 2, 1, -1, 0, -2, -2, 0, 1, 2, -1, 1, 1, -1, 6, -3, -2, 2, -2, 3, -2, 1, -1, 2, 1, -1, -1, 1, -2, -1, -2, 1, 1, 1, 0, 2, -3, 6, 2, -1, 0, -2, 0, -2, 0, 0, -1, -1, 1, -2, -2, 2, 2, 2, 0, 0, 0, 0, -2, 2, 4, 0, 0, 0, 1, 0, -1, 0, -2, -1, -1, -1, 1, 0, 0, -1, 1, 1, 1, 2, 2, -1, 0, 6, 1, 0, -1, -2, -1, 1, 2, -2, 0, 0, -1, -2, -1, 1, 1, 0, -1, 1, -2, 0, 0, 1, 4, -1, 1, 0, 1, -1, 2, 1, 1, 1, 0, 0, 0, 0, -1, 0, 0, -2, 3, -2, 0, 0, -1, 4, -1, 2, 0, 1, -1, 0, -1, 1, 0, 0, -2, -1, 0, 0, 1, -1, -2, 0, 1, -1, 1, -1, 4, 0, 0, -2, -1, 2, 0, 0, 1, -1, 0, -2, -1, -1, -1, -2, 1, -2, 0, -2, 0, 2, 0, 4, 1, 0, -1, 0, -1, 1, 1, 1, -1, -1, -1, 0, -1, 0, -1, 0, -1, -1, 1, 0, 0, 1, 4, -1, -1, 1, 1, 0, 1, 1, 1, 0, -2, 2, 2, 2, 2, 0, 0, 1, -1, 1, -2, 0, -1, 6, -1, 0, -3, -2, -2, 1, -2, 1, 2, 0, -1, 1, 1, -1, -2, 2, 2, -1, -1, -1, -1, -1, 6, 0, 1, 1, -2, -1, 0, 1, -2, 2, 1, -1, -1, -1, -1, -2, 1, 0, 2, 0, 1, 0, 0, 6, 0, 0, 1, 0, -1, -2, 2, -1, -2, 0, -1, 1, -1, 0, 1, -1, 0, -1, 1, -3, 1, 0, 4, 1, 0, 0, 2, 2, 1, -1, -1, -2, 1, -2, -1, 0, 1, 1, 0, 1, 0, -2, 1, 0, 1, 4, 1, 0, 0, 0, -1, -1, -1, -2, -2, -2, 1, -1, 0, 0, 1, 1, 1, -2, -2, 1, 0, 1, 6, -1, 0, -3, 0, 0, -1, 0, -1, 2, 0, -2, 0, 0, -1, 1, 1, 1, -1, 0, 0, 0, -1, 4, 1, 1, 1, -1, -1, 1, -2, 2, 0, -1, 0, -2, 0, -1, 1, -2, 0, -1, 2, 0, 0, 1, 4, 1, 2, 0, -1, 2, 1, 2, -1, 1, 0, -1, -2, -1, 0, 1, 1, -2, 2, 0, -3, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, -1, 2, 1, -2, -1, 1, 1, -2, -1, 1, 1, 2, -2, 1, 2, -1, -2, -2, 4, 2, 1, 1, 2, -1, -1, 1, 1, 0, -1, 2, 1, -1, -1, -1, 2, -1, -2, 0, 2, -2, 2, 4, 1, 2, 2, -2, -1, 1, 1, 0, 0, 0, 0, -2, -1, -2, 2, -1, 0, 0, 1, 0, 1, 1, 4, 2, 2, 0, 1, -1, -1, -1, -1, -1, -1, -1, 1, 0, 1, -1, -1, 1, 2, -1, 1, 2, 2, 4, 1, -1, 1, -1, -1, 0, 0, 0, 0, -1, 1, -1, 1, -2, 0, 0, 2, -1, 2, 2, 2, 1, 4, 0, 0, 0, 1, -1, 0, 1, -1, -1, -1, 0, 1, -1, 0, 1, 1, 2, -1, -2, 0, -1, 0, 4, 1, -1, 0, 1, 1, -1, -1, 2, 0, 1, -1, 1, 0, -1, -2, 1, -1, -1, 1, 1, 0, 1, 4, -2, -2, 1, 0, -1, 0, 0, 1, 2, -2, 0, 0, 1, 1, -2, 1, 1, -1, -1, 0, -1, -2, 4, 1, -1, -1, 1, 0, -1, -2, -1, 1, 0, -1, 0, -1, -1, 1, 1, -1, -1, 1, 0, -2, 1, 4, -1, 1, 0, 1, 0, -2, -1, 1, 1, -1, 0, -1, 1, 0, 0, -1, 0, -1, 1, 1, -1, -1, 4, 0, -1, 1, 0, 1, 0, 0, 1, 0, -2, -1, 1, -1, 0, -1, 0, 0, 1, 0, -1, 1, 0, 4, -1, 0, 1, 0, 0, -1, 1, 1, 0, -2, -2, 2, 0, -1, 0, 1, -1, -1, 1, 0, -1, -1, 6, 0, 0, 0, 0, 1, -1, -1, 1, 1, -1, 1, 0, -1, 0, -1, -1, 0, 0, 1, 1, 0, 0, 4, -1, 0, -1, 0, 0, -2, 0, 1, 1, -1, -2, -1, -1, -1, 2, 0, -1, 0, 0, 1, 0, -1, 4, 0, 0, -1, 0, 0, -1, -1, 1, -1, -1, 1, 1, -1, 0, 1, -2, -2, 1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 1, 2, -1, -2, 0, -1, 0, 1, 2, -1, -1, 0, 0, 0, -1, 0, 1, 4, -2, 1, 1, 1, 0, -2, 2, 2, 1, 1, 1, -1, -2, 1, 1, 0, -1, 1, 0, -1, 0, -2, 4, 0, -1, 0, 1, 1, -1, -1, -1, -2, -1, 1, 0, 0, 1, 1, 1, -1, 0, 0, 0, 1, 0, 4, -1, 0, -2, 2, -2, 0, -1, 0, 0, 0, 0, -1, -1, 0, 1, -1, -2, 0, 0, 1, -1, -1, 6, 0, -1, -1, 0, 0, 1, 0, 1, -1, 1, 0, 0, -2, 0, 1, 0, -1, 0, 1, 0, 0, 0, 4, 1, -2, 2, 1, 2, 2, 1, -2, 1, -1, -1, -1, -2, 1, 1, -1, 1, 0, 1, -2, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -1, -2, 1, 1, -2, -2, -1, 0, -1, 0, 1, 1, 0, -1, 2, 1, 0, -1, 1, 1, 2, 4, -2, -1, 0, 0, -2, -1, 0, -1, -1, -1, 1, 2, 0, 0, 1, 1, 0, -2, 2, 1, -1, -2, 6, 2, 0, 0, 1, 1, 0, 2, 2, 3, -2, -3, -1, 2, 0, -2, -2, 3, -2, 2, -2, -1, 2, 6, 0, -2, 1, 3, 2, 1, -1, 1, -2, 1, -2, 0, -1, -2, -1, -1, -1, 0, 1, 0, 0, 0, 4, 0, 0, 0, 1, 1, -2, 1, 0, 2, 1, 0, -1, 0, 1, 1, 1, 0, 1, 0, 0, -2, 0, 4, -1, -2, 0, -1, -1, -1, 2, -1, 0, 1, 2, 2, -1, 1, 0, 0, -2, -2, 1, 1, 0, -1, 4, 0, 1, 0, 0, 1, -1, -2, 0, 0, -2, -1, 0, 0, -1, 0, -2, -1, 1, 3, 0, -2, 0, 4, 0, 1, 0, 1, -1, 1, -1, 0, -1, -2, 0, 0, -1, 0, -1, 0, 0, 2, 1, 0, 1, 0, 4, 0, -1, -1, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 2, 1, 1, -1, 0, 1, 0, 4, 2, 1, 0, -1, -1, 1, 0, 0, -1, 1, 0, 0, -1, -1, 2, -1, -2, -1, 0, 0, -1, 2, 6, 0, -1, -3, 0, 1, 0, 0, 0, 2, 0, 0, 0, -1, 3, 1, 1, -1, 1, 1, -1, 1, 0, 4, -2, -1, 0, 1, 0, -2, 0, 2, -1, 1, 1, 1, -2, -2, 0, 2, -1, -1, 0, 0, -1, -2, 4, 0, 0, 0, 1, 2, -1, -1, 1, 0, 1, 2, -3, 1, 2, -1, -2, 1, 0, -1, -3, -1, 0, 6, 0, -1, -1, 0, 2, -2, 2, -1, 0, 0, -1, -2, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 4, -1, -1, 1, 1, 1, 1, -1, -1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, -1, -1, 4, 1, 0, -1, 2, 0, 1, 2, 1, 0, -1, -1, 2, -2, -1, -1, 0, 0, 0, 1, -1, -1, 1, 4, 1, -1, 0, 0, 1, 1, 1, -2, -2, 0, 2, -1, -2, 0, 0, 0, -2, 2, 0, 1, 0, 1, 4, 0, 0, 2, -1, 0, 0, -2, -1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 2, 1, -1, -1, 0, 4, 0, 1, -1, -1, -2, 3, -1, 1, 1, 0, 0, -1, 1, 2, 2, -1, -2, 1, 2, 0, 0, 0, 6, 0, 0, 1, 2, -2, -1, 1, 0, -1, -1, 0, 0, 0, -1, 1, 2, 1, 0, 0, 2, 1, 0, 4, -1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 1, 1, -1, -1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 2, 0, 1, -2, 2, -2, 1, 1, 1, 1, 0, 0, -1, -2, 0, -2, -1, -1, -2, 4, -2, -1, -2, -1, 0, 2, -2, 1, -1, 0, 1, -1, 1, 1, -1, 2, -1, 0, 0, 0, 2, -2, 4, 0, 2, -1, 0, -1, 2, -2, 1, -1, 0, 1, -1, 0, -1, -2, 1, -2, 1, -1, 1, -1, 0, 6, -2, 1, -2, -1, -1, 0, 0, 1, -1, -2, 2, -2, 0, -1, -1, -2, 0, -2, 2, -2, 2, -2, 6, 1, 2, -1, 3, -2, 2, 0, 0, 3, -1, 2, -1, -2, 1, 0, 0, 0, 0, -1, -1, 1, 1, 4, 1, 0, 0, 1, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, -1, 0, 1, 0, 0, -2, 2, 1, 4, -1, 1, -1, 1, 0, 0, 2, -1, 2, -1, 0, 1, -1, -1, 0, -2, 2, -1, -1, -1, 0, -1, 4, -2, 1, 0, -1, 1, -1, 0, 0, 0, 1, 0, 1, 0, 1, 2, -2, 2, -1, 3, 0, 1, -2, 4, -2, 1, 0, 0, 2, -1, 1, 0, -2, 0, 0, 0, 0, -2, 1, -2, 0, -2, 1, -1, 1, -2, 4, 0, 0, 0, -1, 1, 0, 2, 1, 1, 2, 0, 0, 1, -1, 1, 0, 2, 1, 1, 0, 1, 0, 4, -1, 1, 2, -1, 1, 1, -2, 0, -1, -1, -1, 1, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, 4, -1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 1, 1, 0, -1, 0, -1, 0, 1, 0, 0, 1, -1, 4, 0, 1, 0, 0, 0, -1, 0, 0, 1, 1, -1, 1, -2, 3, 0, 2, -1, 2, -1, 2, 0, 0, 4, -2, 2, 0, -1, 0, 0, 0, 0, 0, 1, -1, 2, -1, 0, -1, 0, -1, 1, -1, 0, 1, -2, 4, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, -1, 4, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 2, 1, 0, 0, 0, -1, 0, 4, 0, 0, 2, 0, 1, -2, 2, -2, -1, -2, -1, 0, 1, -2, 1, -2, 1, 0, -1, 0, 0, 0, 4, 0, 2, 1, 1, 0, -1, 1, -1, 1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, -2, -2, 0, 0, -1, 1, 0, 2, -1, 1, 0, 0, 0, 0, 2, 2, 0, 6, 1, 2, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, 4, 0, -1, 0, -1, -2, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 0, -1, 0, -2, 2, 1, -1, 0, 2, 0, 0, 0, 1, -2, 1, -1, 1, 2, -2, 4, -2, -1, 1, -1, 0, 1, -1, -1, -1, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, -1, 2, -2, 4, 2, -1, 1, -1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 1, -2, 1, 1, 1, 1, 1, -1, 2, 4, 1, 2, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, -1, -1, 2, -1, -1, 0, 1, -1, 1, 4, 1, 1, 0, -1, -1, 0, -1, 0, -2, -1, 1, 0, 1, 0, 0, -1, -2, -1, -1, 1, 2, 1, 6, 0, 1, -3, -1, 2, 1, -3, 0, 1, 0, 1, 2, 1, 3, -1, 0, 0, 0, -1, 1, 1, 0, 4, -1, 0, 1, 1, 0, -1, -1, 1, -1, 0, -1, -2, -1, 0, -2, -2, 1, -2, -1, 0, 1, -1, 6, -2, 0, 1, 2, -1, -2, -1, 0, -2, 4, 0, 1, -2, 1, 2, -1, 0, 0, -1, -3, 0, -2, 6, 0, -1, -2, 4, 0, 1, -1, 0, -2, -1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 1, 0, 0, 4, 1, 2, 1, -1, 1, 0, 0, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, 2, 1, 1, -1, 1, 4, 0, -2, -1, 1, -1, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 2, -2, 2, 0, 4, -1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, -3, -1, -1, 4, 1, -2, -1, 6, -1, 0, 0, 0, -2, -1, 0, 0, 1, 0, 0, 1, -1, -2, 0, -1, -2, 0, -1, -1, 0, -1, 4, 1, 0, 1, -1, 1, -1, 2, 1, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, 1, 1, 0, 1, 4, -1, 1, -1, -1, 1, 0, 0, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 0, 0, -1, 4, -1, 1, 1, 0, 1, -1, 1, 0, 1, -1, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 1, -1, 6, -1, 1, 0, 1, 0, -2, 0, -2, -1, 1, 2, -1, 4, -2, -1, 1, 1, -2, -1, -1, 1, -1, 6, 1, 2, -1, 0, 1, -1, 1, -1, 0, 1, -2, 0, -1, -1, 0, 0, -1, 1, -1, 1, 1, 1, 4, -1, 1, 2, -1, -1, 1, 2, 0, 3, -1, 1, 0, 0, 1, 1, 0, -1, 1, 0, 0, 2, -1, 6, -1, -1, 1, -1, 1, -1, -1, -1, 0, -2, 0, 0, -1, 0, 0, 2, 0, 1, 1, -1, 1, -1, 4, 0, 2, -1, 1, -1, -2, 0, -2, 1, 0, 1, 0, 1, 1, 1, 0, -1, 0, 0, 2, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, 2, -1, -1, 1, 1, -1, 0, -1, 1, -1, -1, 0, 2, 0, 2, 1, 0, 1, 2, 4, -2, -1, 1, -2, -2, 0, 0, 0, 0, -2, 1, 0, 1, -1, 2, 0, 2, 1, -1, 1, -2, -2, 4, 1, -1, 2, 1, 1, -1, -1, 1, 2, 0, 0, 1, 0, -2, -1, 0, -1, 0, 0, 0, -1, 1, 4, 0, 0, 2, -1, 1, 1, 0, 2, 0, -2, 1, -1, -2, 1, 1, 1, 0, 0, 2, 1, -1, 0, 6, 1, 1, 2, 3, 0, -2, -1, 1, -2, -3, -1, -1, -2, -1, -1, 1, 3, -1, -2, 2, 0, 1, 6, 2, 3, 1, 1, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, -2, 1, 2, 1, 2, 6, 2, 1, 3, -2, 2, 1, 0, -1, 0, -3, 0, 0, 0, 2, 0, 1, 0, 1, -1, 2, 3, 2, 6, 1, -1, 0, 0, 2, 1, -2, 1, 1, -2, 2, -1, 0, 1, 1, 0, -1, 1, 3, 1, 1, 1, 4, 1, -1, 0, 1, -1, -1, -1, -1, -1, 0, 0, 1, 1, -1, 0, -1, 1, 0, 1, 3, -1, 1, 6, -3, 0, 0, 1, 2, -1, -2, 1, -1, 2, 1, -1, 0, 0, 1, 0, -2, -1, -2, 0, -1, -3, 4, 1, 0, 0, 0, 0, 1, 0, 2, 0, -1, -1, -1, -2, 2, 2, -1, 0, 2, 0, 0, 0, 1, 4, 1, 0, 0, 0, -2, 0, 0, 0, 1, -1, 1, 1, 0, 0, 1, -1, 1, 2, 1, 0, 0, 1, 4, 1, 0, 1, 0, -2, 1, 0, 0, 0, -1, 0, 0, -2, -2, 1, 0, 1, -1, 1, 0, 0, 1, 4, 1, 1, 1, 0, 0, 0, 0, -2, -1, 1, 1, 1, -3, 0, -1, -2, -1, 2, 0, 0, 0, 1, 6, -1, 0, 1, 1, 2, -1, -1, 0, -1, 0, -1, -1, -1, 0, 1, -1, -1, 0, 0, 1, 1, -1, 4, 1, -1, -1, -1, 0, 0, 2, 2, -2, -2, -1, 0, -3, 1, -1, -2, 1, -2, 0, 1, 0, 1, 6, 1, 2, 1, -2, 0, 0, 0, -1, 1, -2, 0, 0, -2, -1, 1, 0, 0, -2, 0, 1, -1, 1, 4, 1, 2, 0, -1, 2, 2, 0, 1, -1, 0, 0, 2, 0, -1, 2, 0, 1, 0, 1, -1, 2, 1, 6, 1, -1, 0, 1, 1, -1, 1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 2, -1, 1, 2, 1, 4, 0, -1, 0, -1, 0, 0, 1, 0, 2, 0, 1, 1, -1, 1, 0, 0, -1, 0, -2, 0, -1, 0, 4, 0, 1, 1, 0, 0, 3, 0, 0, 1, 1, -1, -1, -1, 0, -2, -1, 0, 0, -1, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 0, -1, 1, 1, 1, 2, -1, 1, -1, 2, -1, 0, -1, -1, 0, 1, -1, 0, 2, 1, 4, 0, -1, 0, 0, 0, 0, 1, -2, 2, 0, 0, -1, -1, 0, 1, 0, 0, 1, 1, 2, -1, 0, 4, -1, 0, 0, 0, 0, 0, 2, 1, -1, -2, 0, 1, -1, -1, 1, 1, 0, 1, -1, 0, -1, -1, 4, -1, -1, 0, 0, 1, -1, 0, 1, 0, 0, 1, 0, 1, -1, 1, -1, 0, -2, -1, 0, 0, -1, 4, 0, -2, 1, 0, 2, 0, 1, 0, -1, -2, -1, 1, 1, -1, 1, -1, 0, 1, 0, 0, -1, 0, 4, -1, 2, 1, -1, 0, -1, 0, -1, 0, 0, -2, 2, 1, -1, -1, 2, 1, 0, 0, 0, -2, -1, 4, -2, -1, 0, 0, -1, 1, 0, 0, 0, -1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 1, 2, -2, 4, 2, 0, 0, -1, 1, 0, 0, 0, -1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, -1, 2, 4, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, -1, -2, 2, -1, 2, -1, 0, 0, 0, 6, 0, 0, 0, 0, 0, -1, -1, 0, -1, 0, -1, -2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 4, 1, 0, 0, 1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -1, 1, 1, -1, -1, -1, 0, 0, 1, 4, 0, 0, 0, 1, 2, -2, -1, 1, -1, 0, 2, 0, -2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 4, 1, 2, 0, -1, -1, 1, 1, 0, 0, -1, 1, 1, -2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 4, 0, -1, -1, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, 2, 0, 4, 1, -1, -1, 1, 0, 1, -1, 1, -1, 1, 1, -2, -1, -1, 0, -1, 0, 2, 0, 0, -1, 1, 4, -1, -1, 1, 1, 0, 0, 0, 1, -1, 1, 2, -1, 2, 0, 0, -1, -2, 0, -1, -1, -1, -1, 4, 1, 0, 1, 1, 1, 0, 1, 1, -1, 1, 1, 1, 1, -1, 0, -1, 0, -1, 1, -1, -1, 1, 4, -1, 0, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, -1, 4, 1, 1, 0, 1, 1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, 1, 1, 0, 1, 4, 0, 2, 2, -1, -2, 0, 2, -1, 2, 1, -2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, -1, 0, 1, -1, -1, 1, -2, -1, -2, -2, -2, 1, 2, -2, -1, 0, 0, 1, 2, 4, -2, 1, -1, 0, 0, -2, -2, 1, -1, 0, -2, -2, -1, -1, 1, 0, -2, 0, 0, 1, -2, -2, 4, -1, 2, -1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, -2, 0, 0, 0, -1, 0, 1, 1, -1, 4, 1, -1, -1, -2, 1, 1, -2, 0, 0, -2, -1, -1, 1, 0, -1, 0, 1, 2, -1, -1, 2, 1, 4, -2, 0, -1, 2, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1, -2, 4, 1, 2, -1, 1, 1, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, -1, 1, 0, 0, -1, 0, 1, 4, 2, 1, 0, 1, -2, 0, -1, 0, 0, 0, -2, 0, -1, 1, 0, -1, -2, 1, -2, -1, 2, 2, 6, 1, 0, 3, -1, 1, 3, 1, 1, -2, -2, 2, 0, 0, -1, -1, -2, 1, 1, 2, -1, 1, 1, 6, 1, -1, 1, 2, 1, 0, 0, 1, 0, 0, -2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 4, 0, 1, -1, -1, -1, -1, 1, -1, -2, 0, -1, 0, -2, -1, 2, -2, 1, 1, 1, 3, -1, 0, 6, -1, 0, 1, 2, 0, -3, -1, 1, 0, 0, -2, -1, 0, 0, 0, 0, -1, -2, -1, 1, 1, -1, 4, 0, 0, 1, 0, 1, 2, -1, -1, -1, 0, -2, -2, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, 4, 1, 2, 0, 0, 1, 2, -1, 1, -1, -2, -2, 1, -2, -1, 1, -1, 3, 1, -1, 1, 0, 1, 6, 0, 1, -1, 0, 2, 1, -1, -1, -2, -1, 0, -1, 0, 0, 0, 1, 0, -1, 2, 1, 2, 0, 4, 0, -1, 1, 1, -1, 1, -1, 1, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 4, 1, -1, 1, 0, 0, 0, 2, 1, -2, 1, -1, 0, 0, -2, 1, 1, -3, 1, 0, -1, -1, 1, 4, 0, -1, -1, 0, 1, -2, 0, 0, 0, 0, -1, -2, -2, 0, -1, -1, 2, 1, 0, 1, -1, 0, 4, 0, 0, 0, 0, -1, -2, 0, -1, 0, 0, 0, 2, 0, -2, 1, -1, 2, 2, 1, 1, -1, 0, 4, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, -1, -1, 1, -1, 0, -1, 0, 0, 4, 1, 0, 0, 0, -1, 1, 1, 0, 1, 0, 0, -1, 0, -1, 1, -1, 1, 0, 0, 0, 1, 1, 4, 0, 1, 1, 0, 2, 0, -1, 0, -1, 0, 0, -2, 0, -1, -1, -1, 0, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, 0, -2, 0, -1, 1, 1, -2, 0, -1, -1, -1, 0, -1, -1, -2, 0, 1, 1, -2, 4, -2, -1, -1, 0, 0, 2, 1, -2, 2, 0, 2, -1, 1, -1, 1, 1, 2, 0, -1, 1, 2, -2, 4, 2, 1, -2, 0, -2, -1, 1, -2, -1, 0, 0, -2, 1, -2, -1, 0, 0, 1, -1, 1, -1, 2, 4, -1, -1, 0, -1, -2, 2, -1, -2, 0, 0, -1, -1, -1, 1, 0, 0, -1, 1, 0, -1, 1, -1, 4, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, -1, -1, 1, -1, 1, -1, -2, 0, -2, -1, 1, 6, -1, -1, -2, -1, 1, 2, -2, 0, 1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 0, 0, 1, -1, 4, 1, 1, 2, 1, 1, 0, -1, -1, 0, 0, 1, 1, -2, 0, 0, -1, 2, -2, -1, 0, -1, 1, 6, 1, -1, 2, 1, 2, -1, 2, -1, 3, 2, 1, 0, -1, 3, 1, 1, -1, -2, 0, -2, 1, 1, 6, -2, 1, 1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 2, 1, -2, 1, 2, 0, -1, 2, -1, -2, 6, 0, -1, 0, -1, -2, 1, 0, 0, -1, -2, -1, -1, -2, 2, -2, -1, 0, 1, 1, 2, 1, 0, 4, 0, 1, -1, 1, 0, 2, 1, 1, -1, -2, 0, 0, 0, -1, -2, 1, 2, 1, 1, 1, -1, 0, 4, -1, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, 2, 0, 0, 0, -2, 0, 2, 0, 0, 1, -1, 4, -1, 1, 1, 1, 0, 2, -1, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 0, -1, -1, -1, -1, 4, 0, 0, 0, -1, 0, 1, 1, 0, -1, 1, -2, -1, 0, 1, -1, 2, 0, -2, 1, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, -1, 2, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 4, 0, -2, 0, -1, 1, -2, -1, 1, -2, -1, -1, 0, 0, 3, 1, 0, 2, 0, 1, 0, 1, 0, 4, 1, 0, 0, -1, 2, -1, 1, -1, 1, -1, 1, 1, 2, 0, 0, 1, 1, 0, -1, 0, -2, 1, 4, 1, 1, -1, 2, -2, 2, 0, 0, 1, 0, 1, 1, 0, -1, 1, 0, 2, 0, 0, 0, 0, 1, 4, -1, 0, 0, 0, 0, 0, 0, -1, 1, -2, 0, 0, -2, -1, 1, -1, 1, 0, -1, 0, 1, -1, 4, 1, 1, 1, -1, 1, -1, 1, -1, 0, -1, 1, -1, -2, 1, 0, 1, 0, 1, -1, -1, 0, 1, 4, -1, 1, 1, -1, 1, -1, -1, 0, 3, 2, -1, 0, 0, 0, 0, 1, -2, 2, 2, 0, 1, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -1, -2, 1, -1, 2, -1, 2, -1, -1, -1, 1, 0, 1, 2, -1, 2, 0, 1, -2, 4, -1, 1, 2, 2, -1, 0, -2, 2, 0, 1, 0, 0, 0, -1, -1, -2, 0, -2, 1, 0, 0, -1, 4, -1, 0, 0, -1, 1, 1, 0, 0, -2, 1, 1, 0, 2, 1, 0, 1, 0, -2, 1, 0, 1, -1, 4, 1, 2, 1, -2, -2, 1, 2, 1, -1, -2, 1, -1, 1, -1, 1, -2, 0, 0, -1, 2, 0, 1, 4, 0, 0, 1, -1, 2, 1, 1, 0, 0, -1, -1, 1, -2, 0, 0, -1, -1, -2, 2, 0, 2, 0, 6, -1, -1, -3, 2, -1, 1, 0, 0, 1, 1, -1, -1, 0, -4, -1, 1, 1, -1, -1, 1, 0, -1, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 1, 0, 0, -1, 0, -1, 0, 1, -2, 1, -1, 0, 4, 1, 0, -1, -1, 2, 2, -2, 1, 0, 0, -1, 1, -2, 0, 2, -2, 1, -2, -1, -3, 0, 1, 4, -1, 1, -1, 1, 1, -1, 0, 1, 1, 0, 3, 0, 0, -1, 2, 0, 1, 2, 2, 0, 0, -1, 4, 1, 1, 1, 1, -1, -1, 1, -2, 0, -2, 0, -1, 2, 0, 0, 2, 1, -1, 0, -1, 1, 1, 6, -1, 0, -1, 0, -1, 2, 0, 1, 0, 1, 0, -1, 1, -2, 1, 1, 1, 0, -1, -1, 1, -1, 4, 0, -1, -1, -2, 0, -1, 0, -1, 0, -2, -1, 0, 1, -1, 0, 0, 0, 2, 1, 1, 0, 0, 4, 1, -1, 0, 1, -1, 1, 0, -1, 0, -1, 0, 1, -2, 0, 0, 0, 2, 1, 1, -1, -1, 1, 4, -2, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 1, 0, -2, -1, -1, 0, -1, -1, -2, 4, 0, -1, 0, 1, 0, 0, 2, 0, -1, 2, -1, -1, 1, -1, 1, 0, -1, -1, -2, 0, 1, 0, 4, 0, 1, -1, 0, -1, 2, 1, -1, 1, 1, 1, -1, 2, 0, 1, 1, 2, 0, 1, 0, -1, 0, 4, 0, 1, 0, -1, 0, 2, -2, 0, -1, -2, -1, 1, 0, 1, -2, 0, -1, -1, 0, 0, 1, 0, 4, -1, 1, 0, 1, -1, 0, 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 4, -1, 0, 0, 2, -2, 0, -2, 0, -4, 0, 1, 3, -2, 0, -1, 0, 0, 0, 0, 0, 1, -1, 6, 1, 0, 0, 1, -2, 0, -1, -1, -1, -2, 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 0, 1, 6, -1, 1, 0, 1, 0, -1, 1, 0, 0, 0, -1, 0, -2, 0, 0, 2, 2, 0, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -1, 1, 1, -1, 0, 2, -1, 1, -2, 1, 1, 1, -1, 1, -1, 0, -1, 1, 1, 4, 2, -1, 0, -1, 2, -2, -1, 1, 1, 0, -2, -1, -1, 0, 1, -1, -2, 0, -1, -1, 2, 2, 4, -2, 0, 1, 0, -2, 0, 2, 1, 1, -2, 1, -1, 0, -1, 1, -1, 1, 0, 0, -1, -1, -2, 4, -1, 0, 0, 0, -1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 4, -1, 0, -1, 1, 0, -1, 0, 1, 0, 1, 1, -1, 0, 0, -1, 1, -1, 1, -1, 1, 0, -1, 4, -1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, -1, 1, 1, 2, 0, 0, 0, -1, 4, -1, -1, 1, -1, 1, -2, -1, 0, 1, 0, -1, -2, 0, -2, 0, -1, -2, -2, 0, -1, 0, -1, 6, 2, -1, 0, 0, 2, 1, 1, -1, 1, 1, 2, 0, 1, -1, 0, -1, 0, -1, 1, 1, -1, 2, 4, 1, -1, 0, 2, 2, 1, 1, -1, 2, 2, 1, 0, -1, 2, 1, 2, 0, 0, 1, 1, -1, 1, 4, 0, 1, -1, 1, 0, 2, -2, 2, -1, 1, -1, 0, -1, 1, 1, 0, -1, 0, -1, 0, -1, 0, 4, 0, -1, -1, -2, -1, 1, 0, -1, 1, 1, -1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 6, -1, 2, -1, 1, 0, 2, 0, 2, 0, -1, -2, -2, -2, 2, 1, 0, -2, 2, 2, -1, -1, -1, 6, 1, 2, 0, 0, 1, 2, 0, 3, 0, 1, -1, 1, 0, 0, 2, -1, 1, 2, 1, -1, 2, 1, 4, 0, 1, -1, 2, 1, 1, 1, 0, 1, -1, -1, 0, 1, 0, 0, 1, 1, 0, -2, -1, 2, 0, 4, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, 1, 1, 0, 1, -1, 1, 2, -1, 1, 0, 1, 0, 4, -1, 1, -1, 0, 0, 0, -1, 1, -1, 0, -1, 0, 0, 1, -1, -2, 1, 0, 0, -1, -1, -1, 4, -1, 0, 0, 0, 0, 1, -1, 1, 0, 0, 2, -1, 1, 2, 2, 0, 2, 1, 2, 0, 1, -1, 4, 1, 2, 1, 0, -1, -2, -1, 0, 0, 1, -2, 2, 2, -1, -1, 0, 2, 1, 1, -1, 0, 1, 4, 0, 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 1, 1, 1, 2, 0, 1, -1, 0, 0, 2, 0, 4, 0, 0, -1, -1, 0, 1, 1, -1, -2, 1, 0, -1, 1, 0, 3, 1, 0, 0, 0, 1, 0, 0, 6, -1, 1, -1, 0, 0, -1, 1, 0, -1, -1, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 2, 1, 1, 0, 1, 0, 1, 2, 2, -1, 2, -1, 0, -2, 2, 1, -1, 2, 1, 4, -1, 0, 0, -1, 2, -1, 0, -1, 1, 2, 1, -2, 1, -1, -1, 1, 0, 0, 1, 1, -1, -1, 4, -1, -1, 0, 0, 2, 1, 2, -1, -2, 0, 0, 0, 1, -1, -1, -1, 1, 0, 0, -1, 0, -1, 4, -2, -1, 0, -2, -2, -2, 1, 0, 0, 0, -1, 1, -1, 2, 0, -2, 0, 0, 2, 0, -1, -2, 4, 2, -1, 0, 0, 1, 1, 1, 0, 1, 0, -2, 2, -1, 1, 1, -1, 1, 1, -1, 0, -1, 2, 4, -1, 1, 0, 1, 0, 1, 1, 1, 0, -1, 2, -2, 1, 0, -2, 1, 1, 2, 0, 0, -1, -1, 4, -1, 0, 0, 0, 2, 1, -2, 2, 0, -2, -1, 1, 0, 1, 1, 0, -1, 2, -2, 0, 1, -1, 4, 2, 1, -2, -2, 1, 0, 0, 1, 0, -2, 0, 1, -1, 0, 1, 0, 1, -2, 0, 0, 0, 2, 4, 0, -1, 0, 1, -1, 2, 0, 0, -2, 1, 2, 0, 1, 0, -1, 2, -2, 1, 1, 0, 1, 0, 4, 0, 0, 0, 1, 0, -1, 0, -2, 0, 1, -1, 0, 1, 1, -1, 1, 1, 0, 0, -2, -1, 0, 4, 2, 0, 1, 1, -2, 0, 0, 0, -1, 0, 0, 2, 2, -2, 0, 1, 1, 2, -2, 0, 0, 2, 6, 1, -1, 3, -2, 1, -2, 2, -1, -1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 4, -2, 2, 0, -1, -2, 1, 0, -1, 2, -1, -2, 0, 0, 1, 1, -2, 0, -1, 1, 1, -1, -2, 4, -1, -1, 1, 0, 0, 0, 0, -1, 2, 1, 0, -1, 0, 0, 2, 0, 2, 0, 1, 3, 2, -1, 6, 0, 0, -2, 1, 1, 0, 1, -1, -1, 1, 1, -2, -1, 0, 1, 0, -1, -2, -2, 0, -1, 0, 4, 0, 1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -2, 0, 0, 0, 0, 1, -1, 1, 0, 0, 4, 0, 0, 0, -1, 0, -2, 1, -1, 2, -1, -2, -1, -2, -2, -2, 0, -2, -2, 0, -2, 1, 0, 6, -2, 0, 2, -1, 2, 0, -1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, -1, 0, -2, 4, 0, -1, 2, 1, 0, 1, -2, 1, 0, 0, 1, 2, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 4, 1, 1, -1, 1, 0, 0, -1, -2, 1, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1, 2, -1, 1, 4, -1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, -1, 1, 0, 0, -1, 2, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, -1, -2, 1, 1, -2, 1, 0, 1, -2, 0, 6, 3, -1, -2, 3, 2, -1, 2, 3, 0, 1, 0, -1, 3, -2, -2, 1, 0, -1, 1, 3, -1, 3, 6, -2, -2, 3, -1, 0, 1, 3, 0, 0, 1, -2, 2, -2, -1, 0, -2, -1, 0, 3, 1, -1, -2, 4, 2, -1, -1, 1, 1, -2, 0, 1, -1, 1, -2, 1, -1, -1, 0, 0, 1, -1, 1, -2, -2, 2, 4, -2, 0, 1, -1, -2, 1, 0, 0, 0, -1, 1, 0, -1, 1, 1, 0, -2, 0, 3, 3, -1, -2, 4, 1, -1, 1, 3, -1, 1, 1, -1, 2, -2, 0, 0, -1, 0, 1, 2, 1, 2, -1, -1, 0, 1, 4, -1, 0, 2, 0, 0, 0, 0, 1, -1, 0, 0, 2, 1, 0, 0, 2, -1, 0, 1, 1, -1, -1, 4, 0, 1, 1, 0, 1, 0, -2, 1, 0, -2, 1, 0, 0, -2, 1, 2, 1, 1, -1, 1, 0, 0, 4, 2, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 2, 2, 3, 3, -2, -2, 3, 2, 1, 2, 8, 0, 0, 3, -3, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, -1, 0, 1, 1, 0, 4, -1, 0, 0, 0, 0, 1, 0, 1, 1, -1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, 4, -1, 0, -1, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, -1, 0, 1, 0, 1, 0, 3, 0, -1, 4, -2, 1, 0, 1, 0, 0, 1, 1, 1, -1, -1, -2, 1, 0, -1, 0, 0, -1, -3, 0, 0, -2, 4, -1, 0, 0, 0, 0, 0, 0, -1, -2, 3, 2, -2, -1, 2, 1, -2, 0, 0, 0, -1, 1, -1, 6, -3, -1, 1, 0, 0, 0, 3, 1, -2, -2, 1, 1, -2, -1, 1, 0, 0, 0, 0, 0, 0, -3, 4, 1, 0, 0, 0, 0, -1, 1, -2, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, -1, 1, 4, 0, 0, 1, 0, -1, -2, 1, 0, -1, -1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 2, 1, 0, -2, 0, 1, -1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 1, -1, -1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 4, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 4, 0, -2, 3, 3, -1, -2, 2, 0, -2, 2, 2, 0, -1, 1, -1, 3, -1, -1, 2, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, -1, -1, 0, -1, -2, -2, -1, 1, -1, -1, 6, -3, 1, 1, -1, 1, -1, 1, 2, 1, -1, 1, 1, 2, -1, -1, -1, 1, -1, -1, 2, 2, -3, 6, -2, 1, -1, 1, 2, 1, -1, -2, 2, -2, -2, -1, -1, -1, -1, -2, -1, 2, -1, 0, 1, -2, 4, 0, 2, 1, -2, 0, 0, 0, -1, 0, 2, 1, -1, -1, 0, 1, 0, -1, -1, 2, 1, 1, 0, 4, -1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, -2, -2, 0, -2, 0, 0, 1, -1, -1, 2, -1, 4, 0, -2, -1, 0, -1, 0, 0, 1, -1, 0, 1, 0, 0, 1, 0, -1, 1, 1, 1, 1, 0, 0, 4, 1, 2, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, -1, 0, -1, 0, -1, 2, -2, 0, -2, 1, 4, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, -1, 2, 1, 4, 0, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 2, -1, 0, 1, 0, 0, 0, 0, 4, 2, 0, 1, 0, -1, 1, -1, -2, 0, -1, 0, 1, 0, 1, -2, 0, 1, -1, -1, 0, 0, 2, 4, -1, 2, 1, 0, 2, -1, -1, 1, 0, -1, 0, 1, -1, 2, -1, 0, 0, 0, 0, -1, 0, -1, 4, -2, -1, -2, 0, 0, 0, -1, 0, 1, -1, 0, 1, -2, 0, 1, 0, 0, 0, 0, 1, 2, -2, 4, 0, 1, 1, 0, 0, 1, 0, 0, 1, -1, 1, -2, 2, 0, 1, -1, -1, 0, 0, 1, -1, 0, 4, 0, 0, 0, 0, 1, 1, -1, 0, -1, 2, -1, 1, 0, -1, 1, 0, 1, -1, 0, -2, 1, 0, 4, -2, -1, 0, 1, 0, -1, 1, 0, -1, -1, -1, 0, 0, -1, 0, -1, 1, 2, 0, 1, 0, -2, 4, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, 1, -1, 0, 0, -1, -1, 0, 0, 0, -1, 1, 4, 2, 0, 2, 0, 1, -2, -1, -1, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 2, 4, 1, 2, 0, 0, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 1, 0, 0, 1, 4, 0, -2, 0, -1, -1, -1, 0, -2, 1, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 4, 0, 0, 1, -1, 2, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, -1, -1, 0, 0, 0, -2, 0, 4, 0, -1, 2, -1, -1, 0, -1, -1, 0, 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, 1, 0, 0, -1, -1, 0, -1, 0, 0, 1, 1, 0, 2, -2, -1, 0, 0, 2, 1, 4, -2, -1, 0, 0, 0, -2, 1, -1, 0, 1, 0, 1, -1, 0, 0, -1, 0, -1, 1, 2, -2, -2, 6, -2, 0, -1, 2, 3, 2, 1, 0, -1, -1, 0, 1, -1, -1, 0, 2, 1, -1, 0, 2, -1, -2, 6, -1, 2, -1, 0, -1, -1, -2, 1, -1, 1, 1, -1, 3, 0, 0, 2, 1, -1, 1, 0, 0, -1, 4, -2, 1, 0, 0, 2, 1, -1, 1, 1, 1, -1, 0, 0, -1, -1, -1, 0, 0, 0, -1, 2, -2, 4, -2, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 2, -1, 1, -2, 4, 0, 2, 0, -1, 0, -1, 2, 0, 0, 0, 0, 1, 1, 0, 2, -1, -2, 3, 0, 0, 0, 0, 4, 1, 1, 1, -1, 0, 0, 1, 0, -1, 1, 0, 1, -1, -1, -1, 1, 2, -1, 0, -1, 2, 1, 4, -1, 0, 0, 0, 2, -1, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, -1, 2, 0, 0, 1, -1, 4, 1, -2, 1, -1, 2, -1, -1, 0, -1, -1, -2, 0, -1, 0, 0, -2, 1, -1, -1, 1, 0, 1, 4, -1, 2, -1, 0, 1, -1, 0, -1, -1, -1, 0, 0, 1, -1, 1, -1, 0, 0, -1, 0, -2, -1, 4, -2, 1, -2, 0, 1, 1, 1, 1, 1, -1, 0, 0, -1, -1, 1, -1, -1, 0, 0, 1, 2, -2, 4, -1, 1, 0, 0, 0, -2, -1, 0, 1, 1, 1, 0, 1, 1, -1, 2, 0, 2, -1, -1, 1, -1, 4, -1, 0, 1, 0, 0, 1, 1, 1, 1, -1, 1, 1, 1, 0, 0, 1, -1, 2, 0, -2, 1, -1, 4, -2, 0, -1, 0, 0, -1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -2, 4, 0, 0, -1, 0, 0, 1, 2, 0, -1, 3, 0, 0, 0, -1, 0, -1, -1, 1, 0, 1, 0, 0, 4, -1, 0, 1, 1, 1, -2, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1, 4, 0, 1, 1, -2, -1, 0, 2, 0, -1, 1, 1, 0, 1, -1, -1, 1, -2, 0, 0, -1, 0, 0, 4, 1, 0, 0, 0, -1, 1, 2, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 0, 0, 1, 1, 1, 4, 1, 0, 0, 1, -1, 1, -1, 0, 0, -1, 0, -2, -1, 1, 0, 1, -1, 0, 1, 1, 0, 1, 4, 0, 2, 2, 0, -1, 0, -1, 2, -1, 1, 0, 0, -1, 1, 1, 1, 1, 1, -2, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 0, -1, -1, 0, 1, -1, 2, 0, -2, 1, 2, 0, 0, -2, 0, 1, 0, 2, 1, 1, 4, 1, -1, -1, 1, 1, 2, 1, 1, -1, -2, 1, 1, 0, -1, 1, -1, 1, 0, 1, 1, 2, 1, 4, -1, 0, 1, 0, 1, 0, 2, -1, -2, 1, 2, -1, -1, 0, 0, 2, 1, 0, 1, 0, -1, -1, 4, -1, -1, 1, 0, 1, 0, 1, 2, -1, 0, -1, 1, 1, -1, 0, -2, 1, -1, -1, -1, 0, -1, 4, 0, -2, 0, 0, 0, -1, -1, 1, 0, 1, 1, -1, 2, 0, 0, 0, 1, -1, 1, 1, -1, 0, 4, 0, 1, 0, -1, -1, 1, 0, -1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, -2, 0, 4, 1, 2, 0, 0, 1, 0, 0, -2, 0, 2, -2, -1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 4, 2, 1, -1, -1, 2, 1, 0, 0, -1, 0, 1, 1, 1, 0, -1, 1, 0, 1, 0, 0, 2, 2, 4, 0, -1, 0, 1, 0, -1, 0, 1, -1, 0, 0, -1, 0, 2, 1, 2, 0, 0, -1, 0, 1, 0, 4, 0, -2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, -1, -1, 1, -1, -1, 0, -1, -1, 0, 4, 0, -2, 0, 1, 1, 1, 1, 0, 0, -1, -2, -2, -2, -2, 2, -1, 1, 1, -1, 0, -2, 0, 6, -2, -2, 0, -1, 0, -2, -1, 0, 1, -1, 1, 1, 1, -1, 1, 0, 0, 2, 1, 0, -2, -2, 4, 1, 0, 0, -1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, -1, 0, 1, 0, 1, 0, -2, 1, 4, -1, 1, 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, 1, 0, -2, 0, -1, 0, 1, 0, 0, -1, 4, -1, -2, 1, 1, 1, 0, 0, 0, -1, -1, 1, 1, -2, 0, 0, 0, 0, 1, -1, 0, 1, -1, 4, 1, 1, -1, -1, 0, 0, -2, 1, 0, 1, -1, 0, 2, -1, 1, 0, 1, 0, -1, 0, -2, 1, 6, -1, 0, -1, -1, 0, 0, -1, 0, -1, 2, 0, -2, 0, -1, 0, 1, -2, 1, 0, 1, 1, -1, 4, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, -1, 1, 0, 2, 0, -1, 0, 1, 1, -1, 0, 0, 4, 0, 0, 0, 0, 0, 1, -2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, -1, -1, 1, 0, 4, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, -1, 1, -1, 1, 1, 1, 0, 0, -1, 0, 0, 0, 6, 1, 1, 1, 1, -1, 1, 0, 0, 0, 0, 0, -2, -1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, -1, 0, 1, 1, -1, 0, 0, 0, -1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 4, -2, 0, -1, -1, 0, -1, -2, -1, -1, 1, -1, 1, 0, -1, 1, 1, 0, 0, 0, -1, -2, -2, 4, -1, 2, 1, 1, 1, 1, 0, 1, -1, 1, -2, -1, 0, -2, -2, 0, -1, -1, 0, 1, 0, -1, 4, 1, -1, 1, 2, 1, 1, 1, 1, -1, -1, -1, -1, 1, 0, 0, 1, 2, 1, -1, -1, 2, 1, 4, -1, 2, 2, 2, 0, 2, 1, -1, -1, -2, 0, -1, -1, 0, 1, 1, 0, 0, -1, 1, -1, -1, 4, 1, -1, 1, 1, 0, 0, 2, 1, 1, 1, 0, -1, -1, -1, -1, -1, 1, 0, 1, 1, 2, 1, 6, 0, 2, 1, 2, 0, 0, 1, -2, 0, 0, 0, 0, -1, 1, -2, 1, -1, 1, 2, 2, -1, 0, 6, 1, 1, 0, -1, -1, 0, 0, 0, -1, 0, 2, 1, 0, 1, -1, -2, 1, 1, 2, 1, 2, 1, 6, 0, 2, 0, 2, -1, 0, -1, 1, 0, -2, 1, 0, 0, 0, -1, 0, 1, 0, 1, 1, 1, 0, 4, 1, -1, 0, 0, 0, 2, 0, 1, 0, -1, 0, -1, 0, -1, 1, 1, 2, 0, 2, 0, 2, 1, 4, 0, 0, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, -1, 0, -1, 0, 4, -1, 0, -1, 0, 0, -1, -1, 2, 2, 0, -1, -1, 1, -1, -1, 2, 0, -1, 2, 0, 0, -1, 4, -1, 1, 0, 0, -1, -2, 0, -1, 0, 2, 1, -2, -1, -1, 1, 1, 0, -1, 0, -1, 0, -1, 6, 2, 1, 0, 2, 2, 0, 0, -2, 0, 0, -1, -1, -2, 1, -2, 0, 0, 0, -1, -1, 1, 2, 4, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 2, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 2, 1, -2, 1, -1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 4, 1, -1, 0, 0, 1, 1, 1, -2, 0, -1, -1, 0, 0, 0, 1, 0, -1, -1, 2, 1, 0, 1, 4, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 2, -2, 0, -1, -1, -2, 2, 0, 0, -1, 1, 4, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0, -1, 4, 2, 1, 0, 0, -1, 2, 1, -1, 1, 0, 0, 0, 0, 2, -1, 0, -1, 0, 0, 0, 0, 2, 4, 0, 0, -1, 0, 1, 0, -1, -2, 1, 0, -1, 0, 0, 0, -2, 0, 0, 1, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 2, -1, 1, -2, 0, 2, 1, -2, 0, 1, 0, 0, -2, -1, -1, -1, 2, 0, 1, -1, 4, 0, 0, 2, 0, -1, 0, 0, 1, 1, -1, -1, 1, 0, -1, 1, -1, 2, 1, -1, 0, -2, 0, 4, -2, -1, -1, 1, -1, -1, -2, 2, 0, 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 2, 0, -2, 4, -1, 2, -1, 1, 2, 2, -2, 1, 1, 1, 1, -1, -1, -1, -1, 2, 0, 1, -1, 2, -1, -1, 6, -2, 1, 1, 0, 0, 2, 0, -2, 1, 1, 2, -1, -2, 3, -1, -2, -2, 1, 0, -1, 2, -2, 4, -2, -1, 1, 1, -1, -1, 2, -1, -1, -2, 1, 1, -2, 1, 0, 2, -2, -1, 1, -1, 1, -2, 4, 1, -1, -1, 1, 1, -1, 1, 1, 2, -1, 0, 1, -1, 0, -1, 0, 0, -1, 1, 1, -1, 1, 4, -1, 1, 0, 1, -1, 2, 1, 0, -2, 0, 1, 1, 1, 0, 2, 0, -1, 2, 0, 1, -1, -1, 4, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 2, -1, 0, 1, 1, -2, 2, 0, 1, -1, 1, 0, 4, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 1, -2, 1, 2, -2, 2, -1, 1, 0, -1, -1, 4, -1, -1, 1, 0, 1, 1, 1, 1, -1, -1, 0, 0, -1, 0, 1, 0, -1, 1, 1, 0, 0, -1, 4, -1, 1, 2, 1, -2, -1, 0, -1, 1, 0, 1, -1, 0, 1, -2, 2, -1, -1, 1, -1, -1, -1, 4, -2, 0, -2, 0, 1, -2, 1, 1, 0, 0, 1, 0, 1, 1, -1, 1, 2, 0, 1, 1, 1, -2, 4, 1, 0, -1, -1, 1, 1, 0, 1, 0, 0, -1, 1, 1, -1, 1, 1, 0, 0, 0, 2, 0, 1, 4, 0, -1, -1, 0, -1, 0, 0, -2, -1, 0, -1, 2, -2, 2, 0, 0, 0, 1, 1, -2, 0, 0, 6, 0, 0, 1, -3, -1, -2, -1, 1, 1, -1, -1, 1, -1, -2, 0, 0, 1, -2, 0, -1, -1, 0, 4, 1, 0, 0, -1, 1, -1, -1, 1, -1, -2, 1, 0, 0, -1, 0, 1, -1, 1, -1, -1, 0, 1, 4, -1, 0, 1, 1, -1, 2, 0, -1, 3, -2, 1, 1, 0, 0, 1, 0, -2, 1, 0, 1, 0, -1, 4, 0, -1, -1, 2, 1, 0, 2, -1, 1, -1, 1, 2, 1, -1, -1, 1, 1, -1, -3, 0, 0, 0, 6, 1, 1, 0, -1, 1, 0, -2, 0, 0, 1, -1, -1, -1, 1, 1, 0, 0, -1, -1, 1, -1, 1, 4, 0, 1, 0, 0, 1, -2, 2, -1, 0, 0, 1, 0, 0, 0, 1, 0, -2, 1, 1, -1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, -2, -2, 1, 0, 1, -2, 2, -1, 2, 2, 1, -1, 2, 1, -2, -2, -2, 0, -2, 4, -1, 1, 2, 0, -2, 1, -2, 0, -2, 0, 0, 0, -2, 1, -2, -2, 0, 2, 0, 1, 0, -1, 4, -2, -1, -1, 0, 0, 1, 0, 0, 2, 1, -2, -1, -1, 0, 2, 2, 0, 0, -1, 0, 1, -2, 4, 1, 1, -1, -1, -1, 1, -1, -2, -1, 2, 1, 1, 0, -1, 0, 1, 1, 2, -2, 2, -1, 1, 4, 2, 0, 0, -1, 1, -2, -1, -2, 1, -1, 0, -1, -2, 0, 2, 2, 1, -2, 0, -1, 1, 2, 4, 1, 0, 0, 2, -1, -1, -3, 0, 0, 0, 0, -1, 0, 1, 3, 0, 1, -2, 0, -1, 0, 1, 4, -1, 1, 0, 1, 0, -1, 1, 1, 0, 1, 1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 4, -1, -1, 1, 1, 1, 0, -2, -1, -1, -1, -1, 0, -1, -1, 1, -2, 1, -1, -1, 0, 1, -1, 4, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, -1, -1, 0, -2, 0, 0, 1, 1, 2, 0, -1, 0, 4, -1, -1, -2, 0, 0, 0, 0, 0, 2, 1, 3, 1, 2, -2, 0, -1, -2, -1, 1, 1, 1, -1, 4, 1, 2, 0, 1, 0, 0, 1, -1, -1, -2, 0, -1, 0, 2, -2, -1, -1, 0, 1, 1, -1, 1, 6, 0, -3, 0, 2, -2, 2, 3, 0, -1, 0, 2, 0, 1, -1, -2, -3, -1, 1, 0, -2, 2, 0, 6, -1, 0, -1, 1, 1, -1, -1, -4, 0, 2, 0, -2, 2, 1, 0, 1, 0, 0, 0, 0, -3, -1, 6, 0, -1, 1, -1, -1, -1, 0, 1, 1, -2, -1, 1, -1, 0, 1, -2, 1, 0, 1, 0, 0, 0, 4, 1, 1, 1, 0, -1, 0, 1, -1, 1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 2, -1, -1, 1, 4, -1, 0, 1, 1, 0, 2, 2, -2, 0, 0, -1, 0, 1, -1, 1, 0, 0, -2, 1, 1, 1, -1, 4, 1, -1, -2, 0, 0, 1, -2, 2, -1, -2, -1, 1, -1, 1, 0, 1, 2, 1, -1, 1, 0, 1, 4, 2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0, -1, 1, 2, -1, 3, -1, -1, 0, 1, -1, 2, 6, 0, 1, 1, -2, 2, 0, 1, 2, 1, -1, 0, -1, 1, -1, 0, -1, -1, -1, 1, -2, -1, 0, 4, 2, 1, -2, 0, 0, 1, 2, 3, 1, -1, -1, 3, -2, -1, -4, 0, 0, 0, 0, 0, 1, 2, 6, 0, 0, 1, -1, 2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 1, 1, 1, 0, 0, 1, 2, 2, -2, -1, -2, -1, 1, -1, -1, -1, 1, 1, -2, 1, 4, -2, 2, 1, -1, 0, 0, 0, 1, 2, -2, -1, 1, -1, -1, -1, 0, 0, 0, 2, -2, -1, -2, 4, -2, -2, 1, 1, 1, 0, -1, -1, 1, 0, 0, 1, 0, 0, -1, -1, 0, -1, 2, 1, 2, -2, 4, 0, -1, -1, 0, 1, 0, 1, 0, -1, 1, -1, -1, 0, 1, 1, 0, 0, -2, 1, 1, -2, 0, 4, -1, 0, -1, -1, 1, 1, -2, -1, -1, 0, 1, -1, 1, 0, -1, 0, -1, 1, -1, 1, -1, -1, 4, 1, 1, 0, 0, 0, -1, 1, 0, 1, 0, -1, 0, -2, 1, -1, -1, 0, 0, 1, -1, 0, 1, 4, 2, -2, 1, -1, 0, -1, -1, 0, 1, -2, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 1, 2, 4, 0, 1, -1, -1, -1, -1, -1, 0, -1, 1, -1, -1, 1, 1, 1, 0, 0, 1, -1, 0, -2, 0, 4, -1, 1, -1, 1, -1, 0, 0, 0, -1, 0, 1, -1, 0, 2, 1, -1, 0, 1, 0, 1, 1, -1, 4, 1, -1, -2, -2, -2, 1, 0, 0, 0, 0, 3, 0, 2, 2, -1, 1, 1, 0, -1, -1, 1, 1, 4, -1, 0, -1, 0, -1, -1, -1, -1, 0, 1, -1, -2, -2, 1, 0, -2, -1, 0, -1, -1, -1, -1, 6, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, -1, -1, 0, -1, -1, 1, -1, -1, 1, -2, 0, 0, 4, 1, 1, -1, 1, -1, 0, 1, -2, 0, -2, 1, 0, 1, -1, 0, -1, -1, -1, -2, -1, 1, 1, 6, 0, -1, 1, 1, 0, 1, -2, -2, -1, -1, 1, -1, 0, 1, 0, -1, 0, -2, 0, 0, 1, 0, 4, -1, -1, -1, 0, 0, -2, 0, 1, -1, 0, -1, 1, 0, 1, 0, 0, 1, -1, 0, -1, -1, -1, 4, 0, 0, 0, 1, 0, 1, -1, -1, 0, 0, -1, -1, -2, -1, 0, 0, -1, 1, 1, 1, -1, 0, 4, 0, 1, 0, 0, 1, -1, 0, -1, 1, 1, 0, 0, 1, -1, 0, -1, 0, -1, 1, -1, 0, 0, 4, 0, -1, 0, 0, -1, 0, -1, 1, 0, -2, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 4, 0, 0, 1, 1, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, 1, 1, 0, 1, 0, -1, 0, 4, 0, -1, 1, 2, -1, 0, 0, -1, 1, 1, -1, 3, 1, 0, -2, -2, -2, 0, 0, 0, 0, 0, 6, 0, -2, -2, 2, -2, -1, -1, 1, 1, 0, 0, -1, 1, 0, -2, 0, 1, 1, 0, 1, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, -1, 0, -1, 2, 0, 0, 1, 2, 0, 0, -1, 0, -1, 1, 1, 0, 0, 1, 1, 2, 0, 4, -1, 0, -2, -1, 0, 0, 1, 1, 2, 0, 2, 2, -1, -1, -1, 0, 1, 0, 0, 1, -1, -1, 4, 1, 1, 1, 1, 0, 1, -2, -2, 1, -2, -2, 2, 1, -1, 0, 0, -2, 1, -2, 0, 0, 1, 4, 1, 2, 2, -1, 1, 0, 1, 2, 1, 1, 0, 2, 1, -1, 1, 0, 2, -1, -1, -2, 1, 1, 6, 2, 2, 2, 1, -1, -3, 2, -2, -3, 0, 0, -1, -1, 2, 2, -2, 1, 2, -1, 1, 2, 2, 6, 1, 1, 3, 0, 0, 1, -2, 0, -1, 1, -1, -2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 4, 1, 2, 0, -1, 2, 0, -1, 1, 1, 0, -1, 2, 1, 0, 1, 0, 0, 0, -1, 2, 1, 1, 4, 2, 0, -1, 0, -2, -1, -1, -2, -2, 0, 2, 2, -1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 6, 0, 0, 0, 0, 0, -1, -1, -1, 0, 2, 2, -1, 2, 2, 1, -2, 0, -1, 0, 0, 0, 0, 4, 0, 1, 1, 0, -1, 1, 0, -1, 1, 0, 1, 2, 0, 2, -2, 1, -3, 0, -1, -1, 0, 0, 6, -2, 3, 4, -2, -1, 1, 1, -1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, -2, 4, -1, -1, 1, 2, 0, -2, 2, 0, 1, 0, -1, 2, -2, 1, -2, -2, 0, -2, 0, 1, 3, -1, 6, 2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 2, -2, 1, -3, 0, -1, -1, 0, 0, 4, -1, 2, 6, -2, -1, 1, 0, -1, 1, 1, 0, -1, -1, 2, 0, 0, -1, 1, -1, -1, -1, -2, 1, 0, -2, 4, 1, 0, -1, 0, -2, 1, -2, 1, -1, 1, 2, 0, 1, 1, -2, -1, 1, -1, 2, 0, -1, 1, 4, 1, -1, 0, -1, 2, -1, 1, -1, -1, 1, -1, -1, 0, -2, -1, 0, 1, 0, 1, 1, 0, 1, 4, 1, -1, 0, 1, 0, 0, 0, 0, -1, -1, -2, -1, 0, 0, -1, 1, -2, 0, 0, -1, -1, 1, 4, -1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, -1, 2, 0, -1, 0, 0, -1, -1, 4, 1, 0, 1, 1, 0, -2, 0, 2, 2, 1, 2, 2, 0, 0, 0, -1, 1, -2, -1, 0, 0, 1, 6, -1, 2, 1, 0, 1, 2, -2, 0, 0, -1, -1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, -1, 6, -3, 2, 1, -2, -1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, -2, -1, 0, 0, 1, 2, -3, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 1, -1, -1, 0, 1, 0, 1, -1, 0, 1, 1, -1, -1, 1, 1, 0, 0, 1, 0, -1, 4, 0, 1, -1, 2, -1, -1, -1, 0, 1, -1, 0, -1, 1, 1, 0, -1, 1, 1, -2, 1, -2, 0, 4, -2, 1, -1, -1, -1, -1, 0, -1, 1, -1, -1, 0, 1, 0, -1, -1, 0, 1, 1, 1, 1, -2, 4, 0, 2, 0, -1, 0, 0, 1, -1, 1, -1, 1, -1, -1, -1, 2, 0, -1, -1, -1, -1, 1, 0, 4, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, -1, -2, 0, 0, 0, 1, 0, -1, 2, -1, 2, 1, 6, 2, -2, 2, 0, 3, -1, 0, -2, 0, -1, -3, -2, 2, -1, -3, 1, 0, -1, -1, 0, 1, 2, 4, -1, 2, 1, 1, -1, 1, 0, 0, -2, -2, 0, 1, 0, 0, 0, 1, -1, -1, -1, 0, -2, -1, 4, 0, 0, -1, 0, 1, 2, -1, 1, 1, 2, -2, 0, 0, 0, 0, -1, -1, 0, 1, 2, 2, 0, 4, 1, 1, -1, 0, -1, 0, -2, -2, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 4, -1, -2, 1, 0, 0, -1, 0, 1, 1, 0, 1, 1, -1, 1, -1, 1, 0, 3, 1, -1, 1, -1, 4, 0, 0, -1, 0, 0, -1, -2, 1, 0, -3, -1, 0, -1, 1, -1, 1, -1, -1, 0, -1, -2, 0, 4, 0, 0, -1, 0, 1, 0, -1, -1, 0, -1, 1, 0, -1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 4, 0, 1, -1, 0, 0, 1, 1, 0, 0, 1, -1, -1, -1, 0, -2, 0, 2, -1, 0, -1, 0, 0, 4, -1, 1, 1, 2, -2, 0, 2, 0, -1, 1, 0, 1, 1, 0, 0, -1, 0, 0, 0, -1, 1, -1, 4, -1, -1, -1, 2, 2, 0, 0, -1, 1, 1, -1, -1, -1, -2, 1, -2, -1, 0, 0, -1, 1, -1, 4, 2, 0, -2, 0, 0, 1, 1, 0, 0, -1, -2, -3, -2, 1, -2, 0, -1, 1, 0, 1, -1, 2, 4, 1, -1, 0, 1, 0, 1, -1, -1, -1, 0, -2, 0, 2, 0, 1, -2, 0, 0, 2, -1, 0, 1, 4, -1, 0, 2, 0, 0, 1, -1, 2, 0, 2, 1, -2, 1, 1, 1, -1, 1, -2, 2, -2, -1, -1, 4, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 2, 0, 0, 0, 0, 4, 1, 0, 1, -2, 1, -1, 1, -3, 0, 0, -1, 1, -3, 0, 0, 2, 0, 0, 1, 2, -1, 1, 6, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, -2, 1, -1, 2, 0, 1, -2, -2, 1, 2, -1, 2, -1, 1, -2, -1, -1, 0, 4, -1, -1, 0, 1, -2, -1, 0, -1, -2, 0, 2, 1, 2, 0, -1, 1, 0, 1, 1, -2, 1, -1, 4, 0, -1, 0, 1, 1, 2, 1, 1, 0, -2, 0, -1, -1, -1, -1, 2, -1, -1, 2, -2, -1, 0, 6, 2, 1, 1, 2, -2, -2, -1, 1, 2, -2, -2, 2, -1, -1, 0, 2, 1, 0, 0, 0, -1, 2, 4, 0, -1, 0, -2, -2, 0, 0, 2, 0, -1, 0, 0, 0, 0, 1, 0, -2, -2, 1, 0, 1, 0, 4, -2, 1, -2, 0, -1, 1, 1, -1, -2, 0, -2, 0, 1, 0, 0, 1, 1, -2, 1, 1, -1, -2, 6, 2, 1, 0, 0, 1, -1, 1, -1, 2, 2, -1, -1, -2, 0, 2, -1, -1, 1, 2, 0, 1, 2, 4, 0, 0, 0, 1, 1, 0, -3, 0, -1, 0, 1, 0, 1, 1, 2, 0, 2, -2, -2, -2, 1, 0, 6, 1, 1, -2, -3, 1, 1, -2, 1, 1, 1, 0, -1, 1, 0, -1, 1, -2, -2, 0, 0, 0, 1, 4, 0, 1, -2, -1, 0, 0, -1, -1, 1, -2, 0, 2, 1, -2, 1, -1, 0, -1, 0, 0, 1, 0, 4, -2, -2, 0, -1, -2, 1, 1, 0, -1, -2, 1, -2, 0, 0, 1, 0, 1, 1, 1, -2, 1, -2, 4, 2, 0, -1, 2, -1, -1, 0, 0, 1, 1, -2, 2, -2, 2, 2, 1, -1, 1, -3, -2, -2, 2, 6, 1, -1, 1, -1, 1, -1, 3, 2, -2, 1, 1, 0, -2, 0, -1, 1, 0, 1, -1, 0, 0, 1, 4, 0, -1, 1, 1, -1, 0, 0, 0, 2, 2, -1, -2, -1, -2, -1, -3, 1, 0, -1, -1, -1, 0, 6, 0, 1, -1, 0, 0, 1, -3, -1, 0, -1, 2, 0, 0, 2, 0, -2, 0, -2, 2, 1, -1, 0, 4, 0, -1, -1, 0, 1, 0, 2, -1, -1, -1, 0, -2, 2, -1, 1, -1, 1, -1, -1, 1, 1, 0, 4, 0, -1, -1, -1, 0, -1, 1, -1, -1, 0, 0, -1, 0, 1, -1, 1, -1, 1, 1, -1, -1, 0, 4, -1, 2, 0, 0, 1, 0, 2, 0, 0, 1, -1, 1, 1, 1, 0, 0, -1, -1, 0, -1, -1, -1, 4, -1, 0, 0, -2, 1, -1, 2, 1, 0, -2, 0, 0, -2, -1, 0, 3, 0, 0, 0, -1, 2, -1, 6, 2, -2, -1, 1, -1, 1, 0, 0, 0, 1, -1, 0, -2, 1, 2, 0, 1, 1, -1, 0, 0, 2, 4, -2, -1, -2, 2, 0, -2, 1, 2, 1, 1, 2, 1, 1, -2, 0, -3, 0, 0, 0, 0, -2, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, -1, 0, -1, -2, 2, 0, -1, -1, 0, -1, 2, 2, -1, 2, 1, 0, 0, -1, -2, 4, 1, -1, 0, 1, 0, 2, -1, 1, 1, 1, 0, 2, -1, -2, 0, -1, 0, 0, 0, 1, 0, 1, 4, -2, -1, 1, 1, 1, -1, 1, 1, 2, 0, 2, 0, -2, -1, 0, 0, 0, 0, 0, -1, -1, -2, 6, 3, -2, 0, 0, -2, 0, 1, 0, -2, -1, 0, 0, 2, 0, 0, 2, -1, 1, -1, 0, -1, 3, 8, -3, -3, 1, -3, -2, -1, -1, -3, 0, 1, -3, 3, 1, 0, 0, 2, -2, 0, 1, 1, -2, -3, 6, 3, 1, -1, 3, 2, 2, 2, 1, -2, -1, 0, -2, 2, -2, -1, 1, -1, 0, 1, 0, -3, 3, 6, 0, 0, 1, 2, 3, 1, 1, -3, 0, 1, -3, -1, -1, 0, 1, -2, 2, 1, 0, 1, 1, 0, 4, -1, 1, 0, 1, -1, 2, -1, -2, 0, -1, 0, 0, 0, 1, 2, -1, -1, -2, -3, -1, 0, -1, 6, -1, -1, -1, 1, 0, 1, 4, -2, 1, -2, 0, 0, 0, 0, 1, 1, 0, -2, 3, 1, 1, -1, 4, 1, 2, 0, 1, -1, 0, -1, 0, 2, 0, -2, 1, -1, 1, 1, 1, -1, 2, 2, 0, -1, 1, 4, 2, 1, 1, -1, -1, 1, -1, 0, 0, -1, 1, -1, 1, 2, 0, -1, 2, 3, 1, -1, 2, 2, 4, 0, 2, -2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -2, -3, 2, 1, -1, 1, 0, 1, 0, 4, 0, -1, 0, -1, -1, 0, -1, 0, 0, -1, 2, 2, -1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 4, -1, -2, 0, 0, 0, -1, 0, 0, 2, -1, 0, 0, 1, -2, -3, -1, 1, -1, -1, -2, -1, -1, 4, 1, -1, 2, 0, 1, 0, 0, 2, -2, -2, 0, -3, -1, 0, -2, 4, 0, -1, -1, 0, -2, 1, 6, -1, 1, -1, 1, -1, 1, -1, 0, -1, 2, 3, 0, 1, 0, -2, -1, 1, 0, -1, 0, -1, -1, 4, -1, 0, -1, 1, 0, 2, -1, 0, 0, 1, -2, -3, -1, 1, 0, -1, -1, -1, 0, 2, 1, -1, 4, 1, 1, 0, -1, 1, 0, 0, 0, 0, 2, -1, 0, -2, 2, 0, 0, 0, 0, 0, -1, 0, 1, 4, -1, -1, 0, 0, 0, 0, 2, 0, -2, -1, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, -1, 4, 0, 1, 0, 0, 0, -1, 2, -1, 0, 0, 0, -2, -1, 0, 0, 0, 0, -1, 1, 0, -1, 0, 4, -2, -1, 1, 0, 1, -2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, -1, 1, 0, 2, 0, -1, 0, 0, -1, 0, 1, 0, -2, 0, 1, 2, 0, 1, 0, 2, 4, 2, -1, 1, 0, 2, -1, -1, 0, 1, 0, 1, 1, 0, -2, -1, 1, 2, 0, 1, 0, 1, 2, 4, 1, -1, 0, 1, -2, 1, 0, -1, 0, -1, 2, 0, -1, -2, 2, 1, 0, -1, 0, -1, -1, 1, 4, 0, -1, -2, -2, 2, -1, 0, -1, -2, 1, -1, 0, -2, 1, -2, -1, -2, -1, 1, 1, -1, 0, 4, 0, -1, 1, -1, -1, 1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 4, -1, -1, -2, 2, 1, 0, -1, 0, -1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, -2, -1, -1, 6, 0, 1, 1, -1, -1, 3, 0, 2, -1, 0, 0, 3, 0, 1, 1, 0, -1, -2, -2, 1, -1, 0, 6, -2, 0, -1, 2, 0, -1, 1, 0, 2, -2, 0, 1, 1, 0, -1, -1, 1, 2, -1, -2, 1, -2, 6, -1, -2, -1, 1, 0, 0, 2, 0, -1, 0, -2, -2, 1, 0, 0, 0, -1, -1, 2, 1, 0, -1, 4, 1, -1, 1, 1, -1, -1, 0, 0, 1, 2, 0, 1, 0, 1, -1, 0, 1, 1, -1, -1, -2, 1, 4, -1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -1, -1, 0, 0, -1, 0, 0, -1, 2, -1, -1, -1, 4, 0, -1, 0, 1, 0, 0, -1, 0, 1, -1, 0, 1, -1, -2, 0, -1, 3, 0, 1, 1, 1, 0, 6, -2, 0, 1, 2, -1, 2, 0, 2, 0, 1, 1, 2, 1, -1, 0, 0, -1, 0, 1, 0, -1, -2, 4, -1, -2, -2, 1, 0, 0, -1, 1, 0, 0, 0, -1, 0, -1, 2, 1, 0, -1, -1, 0, 0, -1, 4, 1, 0, -1, 1, 0, 1, 0, -2, -2, -1, 0, 0, 0, -1, 0, 2, -1, -1, 1, 1, -2, 1, 4, 1, -1, -1, 0, 0, 0, 0, -1, -2, -2, 1, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 1, 4, -2, 1, 0, 1, 1, 1, 1, 2, 1, -1, 1, 0, -2, -1, 0, 0, 0, -1, 1, -1, -1, -2, 4, 0, 1, 0, -1, 2, 2, 1, -2, 0, 0, 3, 0, 0, 1, 0, -1, 2, 0, 1, -1, 1, 0, 4, 0, 1, 1, 0, 0, 0, -1, 0, 2, 0, 1, -2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 1, 0, 1, 1, -1, -2, 1, 0, 1, 1, -2, 0, 1, 1, 2, -1, 1, 0, 1, 0, 1, 1, 4, -1, 0, 0, 0, -1, 0, 0, 1, 0, 1, 1, -1, -1, 0, 1, 0, 0, 1, -1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 1, -1, 1, 1, 0, 0, 0, 0, 2, -2, -1, -1, -1, 2, -1, -1, -2, 1, 0, -2, 4, 2, -1, 1, -1, -1, 1, -1, 1, -1, -2, 0, 0, 1, -1, -1, -1, 2, 2, 0, 1, -2, 2, 4, 0, 2, -1, -2, 1, 0, 0, 0, -2, 0, 1, 1, -1, -2, 0, 0, 1, 1, 1, 1, -1, 0, 4, 0, -1, 1, -1, 1, 1, 1, 2, -1, 1, 0, -1, -1, 0, -1, -2, 1, 0, -1, 1, 2, 0, 4, -2, -1, -1, 0, 0, 0, -1, 0, -1, 2, 1, -1, 0, 0, 2, 2, 2, 1, -1, -1, -1, -2, 4, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 2, 0, -1, 0, 0, -1, 1, -1, -2, 1, -1, -1, 4, 0, 0, 0, -1, 3, 0, 0, 0, 1, 1, -1, 1, -2, 0, 0, 0, 1, 1, -1, -1, 1, 0, 4, -1, -1, 0, 0, -1, 1, 0, -2, 0, 0, 1, -1, -1, 0, 0, -1, 0, 1, 0, 1, 0, -1, 4, -1, 0, 1, 2, 1, 1, -1, 0, 1, -2, -1, 2, 1, 0, 1, 0, 1, 0, -1, 0, -1, -1, 4, 1, 0, -2, 0, 0, -1, 0, 0, 1, 1, -1, 0, 0, -1, 0, 1, 0, 1, -1, 0, 0, 1, 4, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, 2, -2, -2, 2, -1, -1, 3, 0, 1, 0, -1, 6, -2, 0, 0, 0, 0, 1, -1, -4, -1, 1, -2, 0, 0, -1, 0, 1, 0, -1, 2, -2, 0, -2, 6, 1, 1, 1, 0, 0, 0, 2, 1, -1, -1, 0, 1, 1, -1, 1, 0, 1, 1, 0, 0, 0, 1, 4, 0, -1, 0, 1, -1, -1, 0, -1, -1, 1, 1, 0, 2, -1, 0, 0, 1, 0, -1, 0, 1, 0, 4, -1, -1, 0, 0, 1, 1, 2, -1, -1, -1, -1, 1, -1, 1, -2, -1, -1, 0, 0, 1, -1, -1, 6, 1, 0, 0, 1, 0, 0, 2, -1, -2, -1, -1, 2, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 4, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, 4, -1, 0, -1, 0, -1, 2, 0, -1, 0, -1, 1, 1, -2, 1, 0, -1, 0, -1, 0, 0, 0, -1, 4, 1, -1, 0, -2, 2, 1, -2, 2, 0, -2, -1, -1, 1, 1, -4, 2, -1, 1, 1, 0, 0, 1, 6, 1, 0, 1, 0, 1, 1, 2, 0, 0, -1, 2, -1, 0, -1, 1, 0, 1, 0, 1, -1, -1, 1, 6, 1, 0, 1, 1, 0, 2, -1, 0, 0, 1, 0, -1, 1, -1, -1, 2, 0, 0, 0, 0, 0, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 0, -1, 0, -1, 2, 0, 1, -2, 0, 2, 0, -1, 1, -1, -1, 0, 0, 0, 1, -2, 0, 4, 2, 1, -1, -1, 1, -2, 2, -1, 0, -1, 2, -2, 1, -2, -2, 0, 1, 1, 0, 2, 0, 2, 6, -2, 1, -1, 0, -3, 0, 0, -2, -2, 1, -2, 2, 0, -3, -2, 0, -1, -1, -1, -1, 1, -2, 6, -1, 1, 1, 0, 2, -2, 0, -2, 0, 1, 0, -1, -1, 2, 0, 0, 0, 4, 0, -1, 1, -1, 4, 1, 0, 1, 0, -1, -2, 0, -1, 1, 1, 1, 0, -1, -2, -2, 1, 0, -1, -1, -1, 1, 1, 4, -1, 1, 1, 1, -1, -1, -2, 1, 1, 2, 2, -1, -2, -1, 0, 2, 2, 1, 0, 1, 0, -1, 4, -1, 1, -3, 0, 0, 0, -1, 0, -2, -2, 1, 1, 0, 1, -1, 0, -2, -3, 0, 1, 1, -1, 4, 0, 1, 0, 1, -1, 2, 0, 1, 3, 1, -1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 4, -1, 0, 0, 0, 0, 2, -1, -1, 0, 0, 0, 0, 3, -2, -1, 0, -2, -1, 1, -3, 1, -1, 6, 0, -1, 0, 1, -1, 1, 3, -1, 0, 0, -1, 1, 0, 0, -2, 0, -2, -1, 0, 0, 0, 0, 4, 1, 0, 0, -1, -1, 1, 0, 2, 2, 0, -1, 2, -1, -2, -2, 0, -1, 0, 1, 0, -1, 1, 6, 1, 1, -1, 1, 0, 0, 1, 1, 0, -1, 0, 2, 1, 0, -1, -2, 0, -1, 0, 0, 0, 1, 4, -1, -1, -1, -1, 0, 1, 1, 0, 1, -1, -2, -2, 1, 1, 1, -1, 2, 0, 1, 0, 1, -1, 4, -1, 1, 1, 1, 0, 0, -1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, -1, -1, -1, -1, -1, 4, 0, -1, -1, -1, -1, 0, 1, -1, -2, 0, -1, 1, 2, -2, 1, -1, 1, -1, 1, -1, 1, 0, 4, 1, -1, -1, -1, -1, 0, -1, -2, -3, -1, 0, 2, -2, 3, -1, 3, 1, 0, -1, 1, -1, 1, 6, 0, -1, 0, 0, 0, 0, 0, -2, 2, -1, -1, 1, 1, 0, -1, 0, 0, 0, 1, -1, -1, 0, 4, 1, 1, 0, 1, 0, 1, 0, 0, -2, -2, 1, -1, 0, 0, 2, 1, 1, 0, -1, -1, -1, 1, 4, 1, -1, 0, 0, 1, -1, 0, -2, -1, 0, 0, 0, 0, 2, 1, 1, 0, -1, -1, 0, 1, 1, 4, 0, 0, 1, 0, -1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, 4, -1, -2, 2, -1, 4, 0, 2, -1, 1, 3, 1, -1, -1, 1, 2, 1, 0, 0, 1, 0, 0, -1, 8 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -1, 1, 2, 1, -1, 1, -1, -2, 0, 0, -1, 1, 2, -1, -2, -1, -1, -1, 1, 1, 4, -1, 0, 2, 1, 0, 0, 0, 0, -2, 1, -1, 1, -1, 1, 1, -2, 0, 0, 1, -1, -1, -1, 4, -1, 0, 0, 1, -1, 1, -1, -1, 1, -1, 0, 0, 0, 0, -1, -1, -1, 0, 0, -1, 0, -1, 4, 0, 0, -2, 2, -1, 1, 1, -1, -1, -1, 0, 0, 1, 0, 1, 0, 0, -1, 1, 2, 0, 0, 4, 2, 0, 0, -1, 1, -1, 0, 0, 0, 1, 1, 1, -2, -1, -1, 1, 0, 2, 1, 0, 0, 2, 4, 0, 0, 1, -1, -2, 0, 0, 0, 2, 2, -1, -1, -2, -2, -1, 0, 1, 0, 1, -2, 0, 0, 4, 0, 1, 0, -2, 0, 1, 0, 1, 1, -1, -2, 0, 0, 0, 0, -1, 0, -1, 2, 0, 0, 0, 4, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -1, 1, 0, 1, -1, -1, 1, 1, 0, 4, -1, -1, 1, 0, 1, 0, 0, -2, 0, -1, -1, 0, 1, -1, 0, -1, 1, 1, -1, 0, 2, -1, 4, 2, -1, 1, 0, 0, -1, 1, 0, 1, 1, 2, 0, -2, -2, -1, 1, -1, -2, -2, 1, -1, 2, 6, -1, 1, -1, -1, -2, 0, 3, 2, 2, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, -1, -1, 4, 0, 2, 0, 0, 1, 1, -1, 1, 0, -1, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 4, 0, 1, -1, -1, 1, 1, 1, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 1, 0, -1, 2, 0, 4, 0, -1, 1, 1, -1, 0, 1, -1, 1, -1, 0, 0, 1, 2, 1, 0, 0, 0, -1, 0, 1, 0, 4, 1, 0, 0, -1, -1, -1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, -1, -2, 0, -1, -1, 1, 4, -1, -2, -1, -1, -1, 0, -1, 1, 0, 1, 1, -1, -1, 0, -2, 1, 0, 1, -1, 1, 0, -1, 4, 0, 0, 1, 1, -2, -2, -2, -1, 0, -2, -1, -2, 1, 0, 0, 3, 1, 1, 1, 0, -2, 0, 6, 0, 2, 0, 0, -1, 0, -1, 1, -1, -2, 0, 0, -1, 1, 2, -1, 1, -1, -1, -1, 0, 0, 4, 1, 0, 0, -1, 0, -1, 0, -1, -2, 0, 1, -1, 1, 2, 1, 1, 0, -1, -1, 1, 2, 1, 4, 1, -1, -1, 1, 0, 0, 1, -1, 0, 1, 0, 2, 0, 0, 0, 1, -1, -1, 1, 0, 0, 1, 4, 0, 1, -1, 0, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1, -1, 0, 0, -2, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, 2, 0, 1, 2, -1, 0, 1, -2, -1, -1, -1, 1, -1, 0, 1, 1, -1, 0, -2, 2, 4, 0, 2, 1, 0, 2, 0, -1, 1, -2, -1, -1, 1, 0, -2, 1, 2, 2, 0, 1, -1, 2, 0, 4, 2, -1, 0, 1, -1, 1, 1, -1, 1, -1, 0, 0, 1, -1, -1, -1, 0, 0, -2, 2, 2, 2, 4, 0, 1, 1, -1, 0, 1, -2, 1, -1, 1, 0, -1, 0, 0, 1, -1, 0, -2, 0, 1, -1, 0, 4, -1, 1, 1, 1, 0, 1, -1, 1, 1, -1, 0, -1, 0, 2, 0, 1, 0, 1, 0, 0, 1, -1, 4, 0, 0, -1, -1, -2, 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 4, 1, 1, 1, -2, -1, 0, 0, -1, -1, 0, 0, 1, 0, 0, -1, -1, 0, -1, -1, 1, 0, 1, 4, 1, -1, 1, 0, 1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 0, -1, 1, 0, 1, -1, 1, 1, 4, 0, 0, 0, 0, 1, 0, 0, -2, -2, 0, -1, -1, -1, 1, 1, 1, 1, 0, -1, 1, -1, 0, 4, -1, -1, -2, 0, -1, 0, 1, 0, 0, -1, 0, 0, -2, -2, -1, -2, 1, -2, -2, 1, 0, -1, 6, -1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, -1, 1, -1, 0, 0, -1, -1, 4, 1, 0, -1, 0, 0, -1, -1, 0, -1, -1, -1, -1, -1, -1, 1, 1, 0, 1, 0, -2, 1, 1, 4, -1, 0, 0, 0, -1, 1, 1, 0, 1, -1, 1, 0, 1, 1, -1, 0, 0, 1, 0, 0, 0, -1, 4, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, 4, -1, -1, 0, 1, 0, -1, 0, -1, -2, 1, -1, 0, -1, -1, 0, 0, 0, 2, 0, 0, 0, -1, 4, 0, -1, -2, 1, 1, 1, 0, 1, -1, 0, -1, 1, 0, 1, -2, 1, 0, 0, 0, -1, -1, 0, 4, 1, 0, 0, 1, 1, 1, 2, -1, 0, 0, 0, 0, -1, -2, 0, 0, -1, -1, 0, 0, -1, 1, 4, 1, 0, 1, 0, 1, 2, -1, 1, 2, 0, 1, 0, 0, 0, 0, -1, 1, 0, 1, -2, 0, 1, 4, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, -1, 4, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 1, 1, 0, 2, 4, 0, -2, -1, -2, -2, 0, 0, -1, 0, -1, 0, 1, -1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -2, -2, 0, -1, 0, 1, 2, 0, 1, 0, -1, 0, 0, 1, 2, -2, 0, 1, 1, -2, 4, 1, 1, 1, -1, 0, -1, 0, -2, 0, 1, 1, 1, 1, -1, 1, -2, 1, 1, -1, 0, -2, 1, 4, 2, 2, 0, 0, 0, -1, 0, -1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, -2, 1, 2, 4, 2, 1, -1, -1, -1, 0, 0, 0, 1, 2, 1, -1, 1, -1, 1, -1, 1, -1, -2, 1, 2, 2, 4, -1, -1, -1, -2, -1, 0, 0, 0, 1, 1, 1, 1, -1, 2, 1, -1, -1, 0, -1, 0, 1, -1, 4, 0, 1, 1, 2, 1, -1, -1, 1, 1, -1, 0, 0, 0, -2, 0, 1, -1, 0, 0, -1, -1, 0, 4, 0, 1, 0, 1, 0, -1, 0, -1, 1, -1, 0, 0, 0, 0, 1, 0, -1, 0, -1, -1, 1, 0, 4, 0, -1, -1, -1, -1, -1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, -1, -1, -2, 1, 1, 0, 4, 2, 1, 0, 1, 1, -1, 0, 0, 0, 0, -1, 1, 2, 2, -2, 0, 0, -1, 2, 0, -1, 2, 6, 1, -1, 0, 0, 0, 1, 0, 2, 0, -1, 3, 1, 0, 0, -1, 0, 0, 1, 1, -1, 1, 1, 4, -1, 0, 1, 0, 0, 1, 0, 1, -1, 0, 1, 1, 1, 0, 0, 0, -1, 0, -1, 0, -1, -1, 4, 1, 0, 0, -1, 2, 0, -1, 0, -1, 0, 0, 1, 0, 1, 0, -1, -1, -1, 1, 0, 0, 1, 4, 0, 0, -1, 1, -1, 1, 0, 1, 0, -1, 1, 1, 2, 1, 1, 0, -1, 1, 0, 1, 0, 0, 4, 0, 0, 1, -1, 0, -1, 1, 1, 0, 1, 1, 1, 1, 1, -1, 0, -1, 0, 0, 0, 0, 0, 4, -1, 1, -1, 1, 1, -1, 1, 0, -1, 1, -1, 1, -1, 1, 0, 0, 1, 0, -1, -1, 0, -1, 4, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, -1, -1, 0, 0, 1, 2, 1, 1, 1, 0, 4, 0, 0, 0, 0, 1, 2, -2, 0, -1, -1, 0, 0, 1, 0, 2, 0, 0, -1, -1, -1, 1, 0, 4, -1, 0, 2, 0, -2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, -1, 4, 0, -1, 0, 0, 1, 0, -1, 1, -2, 0, 0, -1, -1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 4, 0, 0, 1, -1, 1, 1, -1, 0, 0, -1, 1, 3, 0, -1, 1, 1, -1, 1, 0, 2, -1, 0, 6, 0, 1, 0, 0, -1, -1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, 0, -1, 0, 1, -1, 1, 0, -1, 1, -1, 0, -2, -1, 0, 2, 0, -1, 0, -2, 4, 1, -1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, -1, -1, 0, 1, -1, 0, 1, 4, -2, 0, 2, 0, -1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, -1, 1, -1, -1, -2, 6, 2, 0, -2, -2, -3, -1, 2, 0, 0, 0, -2, 1, -1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 4, 1, -2, -1, -1, 0, 2, 0, -1, 0, 0, -1, -2, -1, 0, 2, 0, -1, -1, 1, 2, 0, 1, 4, -1, -2, 2, 1, 0, 0, 1, 2, 1, 1, -1, 0, 0, 0, -1, 1, 0, 1, 0, -2, -2, -1, 4, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 1, 0, -1, -2, -1, -2, 0, 4, -1, -1, -1, 0, 0, -2, 0, -1, 1, 0, 0, -1, 1, 0, -1, 2, 2, -3, -1, 2, 2, -1, 6, 2, -1, 1, 0, 2, 1, 0, 0, -2, -1, -2, 0, 0, 1, 1, 1, -1, 0, 1, 1, -1, 2, 4, 0, 0, 1, 1, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, 0, 4, 0, 0, 1, -1, -1, 0, -1, 1, 2, 0, -1, -1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 4, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, 1, 0, 2, 0, 0, 1, -1, 1, 2, 0, 0, 2, 0, -2, 2, 1, 1, 0, 0, 4, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0, -2, 0, 1, 1, 0, 1, 0, -1, 0, 0, -1, 4, 0, -1, -1, 1, 0, 1, -1, -2, 1, 1, 1, -1, 1, 0, -1, 0, 0, -1, 1, 0, 1, 0, 4, 0, 2, -1, 0, 0, 1, -1, 1, 0, -1, -2, -1, 1, 1, 0, 0, 0, -1, 1, 0, -1, 0, 4, 0, 0, -1, 1, 0, 0, -1, 0, 1, -1, 0, -1, 0, -2, 0, -1, 0, 0, 0, -1, 2, 0, 4, 0, 0, -1, 2, 2, -1, 0, 0, 0, 0, 1, 0, -1, 1, 1, 0, 2, -1, 1, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, -1, -2, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 4, 1, -1, -1, 1, -1, 0, 0, -1, 1, 1, 0, -1, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1, 4, -2, 0, -1, 1, 0, -1, 1, -1, 0, 0, 0, -1, 1, 1, 1, -1, 1, 0, 2, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, -1, 1, -1, -2, -1, -2, 2, -2, 2, 0, 1, -1, -1, 0, 1, -1, 2, 1, 4, 0, -2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, -1, -1, 0, -1, 2, 0, 1, -1, 0, 4, 2, -2, 2, 0, 1, 0, 2, 2, 0, 1, -1, -1, 0, -1, 2, -1, 0, 1, 0, -2, -2, 2, 6, 0, 0, -1, -1, 2, 0, 2, -1, -1, 0, -2, 2, 2, 0, 1, -1, 2, 0, 1, 0, -2, 0, 4, -2, 1, -2, 1, -1, -2, 0, 0, 1, -1, 1, 0, -2, 1, 0, -1, 1, -1, 1, 2, 0, -2, 4, 1, 1, 0, 2, 1, -1, 2, -2, 1, -1, -1, 1, 0, 1, 0, -1, 1, 1, 0, -1, 1, 1, 4, 0, -1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, 1, 1, -1, -2, 1, 0, 4, -1, 1, 2, 0, 0, -1, 0, -2, 0, 2, -2, 1, 1, -1, -2, 0, 0, 2, 1, 0, -1, -1, 4, 0, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 1, 2, 0, -1, 2, 0, 1, 0, 4, 1, -1, 2, -2, 0, -1, -1, 2, 0, 1, 0, -1, -2, 0, 2, 2, -2, 1, -2, 2, 0, 1, 6, -2, 1, -1, -1, -1, 1, 2, 0, -1, 2, -1, 2, 1, 0, -1, 0, -1, 1, 0, -1, -1, -2, 4, -1, 1, -1, 0, 0, 0, -1, 0, -1, 1, -2, 1, 1, -1, 0, 2, 0, 0, 1, 2, 1, -1, 6, -3, 1, -2, -1, 0, 1, 0, -1, -1, 2, 0, -1, 0, 1, -2, 0, -1, 0, -2, -1, 1, -3, 4, -1, 2, 0, -1, -1, 0, 1, 2, 0, 0, -1, -2, -1, 1, 0, 0, 0, 0, -1, -1, 1, -1, 4, -1, -1, -1, 1, 1, -1, 0, 1, -1, 0, 2, 1, -1, 0, -2, 1, -1, -1, 0, -2, 2, -1, 4, 1, -1, 0, 0, 1, 2, -1, -1, -1, 2, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, -1, 1, 4, 0, 1, -1, 1, 0, -1, 0, 2, 0, -2, 1, 0, 2, -1, 2, 2, 0, 0, -1, -1, -1, 0, 4, -1, 0, 1, -1, 0, -1, -1, 1, 1, 0, 0, -2, 0, 0, 0, -1, 1, -1, 1, 0, 1, -1, 4, -1, -1, 0, 1, 2, 0, -1, 0, 1, 1, 1, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0, -1, 4, 1, 1, -1, 0, 1, 2, -1, 0, -1, 1, 1, 0, 2, -1, -1, 1, -1, 1, 1, 1, -1, 1, 4, 0, 2, 1, 0, 0, 1, -1, 1, -1, 0, -1, -1, 1, -1, 2, 0, 2, 0, -1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 1, -1, 0, 0, 1, -1, -2, 0, 1, 2, -1, -2, 0, -2, -2, -1, 0, -2, 4, -2, 2, 1, -1, 1, 1, -1, 0, 1, 2, 0, -2, -1, 0, 2, 0, 2, 1, 1, -1, 2, -2, 4, -2, -1, 0, -1, -1, 0, 0, -1, -1, -1, 2, 1, 0, -2, -1, -1, 0, -1, 0, -2, 2, -2, 4, 1, -1, 2, 0, -1, -1, 1, 1, 1, -2, -2, 1, 1, 1, 2, 0, 1, -1, 0, 1, -1, 1, 4, 1, 2, 0, 1, 1, 2, 1, 1, -2, 0, -1, 2, -1, -1, 1, -1, 1, 1, -1, 0, -1, 1, 4, 1, -1, 2, 1, 1, 0, 1, 0, 2, -1, 1, 0, -1, 1, -2, 2, -1, 1, -1, 2, 2, 1, 4, 0, 1, 1, 2, 2, 2, -1, -1, -1, 2, -1, 1, 0, -1, 1, 0, 1, -1, 0, 0, -1, 0, 4, 0, 1, 0, 1, 1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 2, 1, 0, 4, 1, 0, 1, 1, 0, 1, 0, 0, -1, -1, 2, -1, 2, 1, 0, 0, -1, 1, 1, 1, 1, 1, 4, 0, 1, 0, 1, 1, -1, 0, -2, -1, -1, 0, 1, -1, 1, -1, 1, 2, 1, 2, 0, 0, 0, 4, 1, 2, -1, -1, -1, 3, -1, 0, 1, -1, 1, -2, 2, -1, 1, 1, 0, 2, 1, 1, 1, 1, 4, 1, -1, 0, 0, 1, -1, 1, 1, 0, 0, 0, 0, -1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 4, -1, -1, 0, 0, 0, 0, 0, -1, 0, 1, -2, 2, -2, -2, 0, -1, -1, 0, 1, -1, -1, -1, 4, 1, 0, -1, -1, 0, -1, 0, 0, 2, -1, 1, -2, 0, 2, -1, 0, 1, 1, -1, 0, -1, 1, 4, -1, -1, 0, -1, 0, -1, 1, -1, 0, 0, 1, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, -1, 4, -1, 1, 1, 1, 2, -2, -2, 2, -2, 1, 2, 1, 2, -1, 0, 0, 3, 1, 0, -1, -1, -1, 6, 0, 1, 1, 0, 1, 0, 0, -1, 1, -1, 0, -1, 0, -1, -2, -1, -1, 0, -1, 0, 1, 0, 4, 1, 0, 1, -1, -2, 2, -1, 2, -1, -1, 1, 0, -1, -1, 0, 1, 0, 0, -1, 1, 1, 1, 4, 0, 1, -1, -2, 1, 0, 0, 1, 1, 0, 0, 2, -1, 1, 1, 0, -1, 0, 1, 1, 0, 0, 6, 0, 1, -1, 1, -1, 1, -1, -2, -1, 0, -1, 0, -1, 0, -1, 0, -1, 2, 0, 1, 1, 0, 4, -2, 0, -1, 0, -1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, -2, 1, -1, -1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 1, 1, 1, -1, 0, -1, 0, -2, 1, 1, 1, 0, 1, 2, -1, 0, 0, 0, -2, 4, -2, 2, -1, -2, -2, 2, 0, 0, 0, 1, -2, -1, 0, 1, -1, -2, 2, 0, 0, 0, 2, -2, 4, -2, 0, 1, 2, -1, 1, 0, -1, -1, 2, 1, 0, -1, 1, 2, -1, 0, -1, 1, -2, 2, -2, 4, -1, 0, -1, 1, -1, -1, 0, 2, -2, -1, 0, 0, -1, -2, 0, 0, 0, 0, 1, -1, 0, -1, 4, -1, 0, -2, -1, 1, 2, -1, 2, -1, 0, -1, 1, 1, -1, -1, 0, 1, 1, -2, 1, 0, -1, 4, 2, -1, 1, -1, -1, -1, 1, 0, 1, -1, 1, 0, -2, 1, 1, 0, 1, -2, 2, -1, 0, 2, 4, -1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, -2, 1, -1, 0, -1, 2, -1, 1, -2, -1, -1, 4, 0, 0, 0, 1, -3, 1, 0, 2, -2, -1, 2, 1, -1, -1, 0, 0, 1, -1, -1, 1, 1, 0, 4, 1, -1, -1, 2, 0, -1, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, -1, 0, 0, 1, 4, 1, 0, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 2, -1, 0, 0, -1, 1, 4, 1, 0, 0, 0, 1, 1, -1, -1, -1, 0, -1, -2, 1, -1, 2, -1, -1, 0, 1, -1, 0, 1, 4, -1, 0, 0, 1, 0, -1, 0, -1, -1, 0, 1, -2, 2, -2, 2, 1, 2, -3, 2, 0, 0, -1, 6, -1, 0, -1, 1, 1, -1, 0, 1, 1, 1, -1, 1, -1, -1, 0, 0, 1, 0, -1, 0, 0, -1, 4, -1, 1, -1, 1, 0, 1, 0, -1, 1, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0, 0, 0, -1, 4, 1, 1, 0, 0, 1, 0, 0, 0, 1, -1, 0, -1, -1, 0, 2, 0, 0, 1, 1, -1, 1, 1, 4, 0, -1, 1, 1, 0, -1, 1, -1, 1, -1, 1, 1, 2, -2, 0, 1, 1, 0, 1, -1, 1, 0, 4, 0, -2, -1, 0, 1, 2, -2, 2, -2, 1, 0, 0, -1, 0, 0, -1, -1, 1, 1, 0, -1, 0, 4, 0, 0, 0, 1, -1, 2, -1, 0, -1, -2, -2, 2, 0, 0, -1, 0, -1, 0, 0, 1, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, 0, 1, 1, 1, -1, 0, 0, 4, 1, -1, 0, 0, -1, 0, 0, 1, -1, -1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 4, -1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, -1, 0, 1, -1, 0, -1, 1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 1, 0, 0, 0, -1, 1, 2, -2, 0, 1, 1, -1, -1, 1, -2, 0, 2, 2, 1, -1, 4, 1, -2, -1, 1, 1, 2, -2, 0, 2, 1, -2, 0, 1, 1, -2, 2, -1, -1, -2, -2, 0, 1, 4, 1, -2, 0, 0, -1, 1, -1, 1, -1, -1, 0, 0, 1, -1, 2, 1, -2, 1, -2, 1, -2, 1, 4, -1, 0, -1, -2, 1, -1, -2, 0, 1, 0, 0, -1, 1, 0, 2, -1, 2, 0, 0, -1, -2, -1, 4, -1, -1, 1, 0, 1, 0, -1, 1, -1, -1, -1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, -1, 4, 2, 1, -1, 0, -1, 0, 0, -1, 2, 1, -1, 1, -1, -1, 0, 1, 0, 1, 0, -1, -1, 2, 4, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, -1, -1, 2, -1, -2, 1, 1, 0, 4, -1, 1, 2, 0, -1, 0, 1, 0, -1, 1, -1, -1, -2, 1, 1, -2, 1, 1, 0, -1, -1, -1, 4, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, -1, -1, 1, 0, 0, 1, 1, 4, 0, 0, 0, 1, -1, 0, 1, -1, -1, 2, 1, 2, -2, 2, 1, -2, 0, -1, -1, 2, 0, 0, 6, 1, -1, -1, 0, 2, -1, 2, -1, 0, -2, 0, 0, 1, -1, 0, -1, 0, 0, 0, -1, 0, 1, 4, -1, 0, 1, 0, 0, -1, -1, 2, -2, -1, 1, -2, -1, 1, 1, 0, 0, -1, 0, 0, -1, -1, 4, -1, -1, -1, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0, 0, 1, -1, 0, -1, 4, -1, 0, 0, -1, -1, 1, 0, 0, -1, 1, 0, 0, -1, 2, 0, 1, 0, -1, 0, 1, -1, -1, 4, 0, -2, 1, 0, -1, -2, 0, -1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 2, 0, -1, 0, 0, 4, 0, 2, -2, 0, 0, 1, 1, -2, -1, 1, 2, -1, -1, -1, 0, 1, -1, 0, 1, 0, -2, 0, 4, -1, 0, 1, 2, 2, -2, 2, 2, 0, 0, 1, -1, 1, 0, -1, 2, -1, -2, -1, 1, 2, -1, 6, 0, -3, 1, 0, 0, -1, 1, 2, 0, -1, 0, -1, 1, -1, -1, -1, 1, -1, 0, -2, 0, 0, 4, -2, 1, -1, 2, -1, -2, -1, 0, -1, 0, -1, 0, 2, 0, 2, 1, 1, -1, 0, 1, -3, -2, 6, 0, 1, 2, -2, 1, 2, 1, 0, 0, -2, 2, 1, -2, -2, 1, 0, -2, 0, 2, 1, 1, 0, 6, 1, 1, -2, -2, 0, 2, 1, -1, 1, 1, 2, 0, -1, 1, 0, 0, 1, 2, 0, -1, 1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, 0, 0, 1, -1, 2, 1, 0, -2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, -2, 4, -1, -1, -1, -2, -1, -2, -2, -1, 2, -1, -1, -1, -1, -1, 1, -1, 0, -1, -1, 0, 0, -1, 4, 0, 2, 2, 0, 0, 1, 0, -1, -1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, -1, 0, 4, 0, -1, 1, 1, 1, -1, -1, -1, -1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, -1, 2, 0, 4, 0, 1, 0, 0, 1, 0, -1, 2, 0, -1, -1, 1, 0, -1, 0, 1, 1, 1, -2, 2, -1, 0, 6, -1, 1, 2, 2, -1, 0, 0, 1, 2, 1, -2, 1, -1, 0, 0, 1, -1, -1, 0, 1, 1, -1, 4, -1, -1, 1, 1, -1, 0, 1, 0, 0, -1, 0, -1, -1, 0, 0, 2, -2, 0, 1, 0, 1, -1, 4, 1, -1, -2, 0, 0, -1, 1, 0, -1, 0, 0, 2, 0, 1, 1, -2, 1, 1, 0, 2, -1, 1, 4, 1, -2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 1, 2, 1, -1, 1, 4, 1, 0, 1, 0, 1, 0, -1, 0, -1, -1, 0, 0, -2, 2, -1, -1, 0, -1, 1, -2, -2, 1, 4, -1, 0, -1, 0, 0, 0, 0, 0, -1, -1, 0, 1, -1, -1, -1, -1, 0, -1, 0, 1, 0, -1, 4, 1, 0, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, -1, 2, 0, 0, 0, 1, 1, 0, 1, 4, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, -1, 2, 0, 0, 1, 1, -1, 1, 0, -1, 0, 0, 4, 0, 0, 0, 2, 0, -1, 0, -1, 1, -1, 0, 1, -1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 4, 2, -2, 0, 1, 1, 0, 1, 0, -1, 0, 2, -1, 1, 0, 0, 1, 0, 0, 0, -1, 0, 2, 4, -1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, -2, -1, -1, 0, -1, 0, 0, 1, 0, -2, -1, 4, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 4, 1, 0, 0, -1, 0, 0, 0, 1, -1, -1, -1, 0, 0, -1, 0, 1, 0, 0, 1, 2, 0, 1, 4, 0, 1, -1, 2, -1, 0, 1, 0, 0, -1, 2, 1, -1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 4, 1, 1, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 4, -1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, -1, 1, -1, 1, 0, 0, -1, -1, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 2, -1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, -1, -1, 0, 2, 0, -1, 2, 4, 0, -2, -1, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1, -1, 0, 1, -1, 0, 0, -1, 2, 0, 6, 1, 2, 0, 0, 3, 3, 1, 3, 1, -2, -1, -2, -1, -2, 0, 2, 2, 1, 1, -1, -2, 1, 6, 3, -1, 1, 1, 1, 2, -1, 2, 0, -1, -1, -1, 2, 1, 0, 1, -2, 2, 1, -1, 2, 3, 6, 1, 2, 2, 2, 1, 1, 1, 0, -2, -2, -2, 1, -1, 0, 2, -1, 1, 0, 0, 0, -1, 1, 4, 2, -1, 0, 1, 0, -1, 1, -1, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 4, 1, 0, 2, 0, 1, 2, -2, 0, 0, 1, 0, -2, 0, -1, 0, 1, 0, 3, 1, 2, -1, 1, 4, 1, 1, 2, 1, -1, -1, -1, -1, 0, 0, 1, 1, 0, 0, 2, 0, 3, 1, 2, 0, 0, 1, 4, 1, 2, 1, -1, 0, -2, 0, -1, -1, 0, 2, 0, 0, 0, -1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 1, -1, 0, 1, 0, 0, -1, 0, -1, 1, 1, 0, 3, -1, 1, 0, 0, 2, 2, 1, 4, 0, -1, 0, -1, 0, -1, -1, 1, 1, 1, 0, 1, 1, 1, 2, 1, -1, 1, 1, 1, 1, 0, 4, 1, 0, 0, -1, 1, 1, -1, 0, -1, 0, 0, 1, -2, 0, 0, 1, 2, -1, -1, 1, -1, 1, 4, 0, 2, 0, 1, 0, -2, -1, -1, -1, 0, 0, -1, -1, -2, -1, -2, -1, 0, -1, 0, 0, 0, 4, 1, 0, -1, -1, 1, -1, 0, -1, 0, 1, -2, -1, -2, 0, 0, -1, -2, 0, -1, 0, 2, 1, 4, 0, 1, 1, 0, -1, 0, 0, 0, -1, -1, -1, -2, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 4, 0, -1, -1, 0, 0, 0, -1, 0, -2, 2, 1, -1, 1, 0, -1, 0, -1, 1, 1, -1, 1, 0, 4, 1, -1, 0, -1, 1, -1, 1, 0, 1, -1, 0, 0, 0, -1, 0, -1, 1, 0, -1, 1, -1, 1, 4, 0, 0, 1, 1, 0, -1, 2, 0, 0, -1, -2, 1, 0, -1, 1, -1, -2, 1, 0, -1, -1, 0, 4, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, -1, -1, -1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 1, -2, -1, 1, -1, 0, 0, -1, 1, -1, -1, 0, 0, 0, -1, 1, 1, 1, 4, -1, -1, -1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, -2, 0, -1, -1, 0, -1, -1, -1, 1, 0, -2, 1, 1, 2, 2, -2, 0, -1, -2, -1, 4, 0, 0, 1, 1, -1, -1, 2, 0, 2, 1, 1, 1, -1, -1, -2, -1, 0, 0, 1, 1, 2, 0, 4, -1, -1, 1, -2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, -2, -1, 0, -2, -2, 0, -1, 4, 1, -1, 0, 0, -1, 0, 1, -2, -1, 2, -1, 1, 0, -2, 1, 1, 1, 2, 0, 1, -1, 1, 4, 0, 1, -1, -1, -1, 2, 0, 1, 1, -2, 1, 1, 0, -1, 1, 0, 2, -1, 1, 1, -1, 0, 4, 0, 0, 1, 1, 0, 2, 1, 0, -1, 0, -2, 0, 0, 0, 0, -1, -1, -1, -2, 0, 1, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 4, -1, 1, -2, 1, -2, 1, 1, -1, 0, 0, 0, -1, -1, 0, -1, 2, 1, -1, -1, 1, 0, -1, 6, -1, 0, 2, 1, -1, 1, 0, -1, 0, 0, -2, 0, -1, -1, 0, 0, 0, -1, 1, 0, 1, -1, 4, 1, -1, -1, 2, -1, -1, -2, 0, 1, -1, 1, -1, -1, 2, 0, 1, 2, 0, 0, -2, 0, 1, 6, 0, 2, 2, -1, -1, -1, -1, -1, 0, 3, 1, 1, 1, 2, -2, 0, 2, 0, 1, 2, -1, 0, 6, 0, 0, 2, 0, 0, 1, -1, -1, -1, -2, 0, 1, 0, -1, 1, 1, 0, -2, 1, -1, 2, 0, 4, -2, -1, 0, -1, 0, -1, 1, 1, 1, -2, 1, 0, 2, 1, 0, 0, 1, -1, 2, 2, 0, -2, 6, -1, -1, -1, -2, 0, -1, 1, 2, 1, -1, 1, -1, -2, -1, 0, 1, 1, -1, -1, 2, -1, -1, 4, -1, 1, 0, 0, -1, 0, -2, 1, -1, 1, 1, 1, 0, -1, -1, 0, -1, -1, 0, 0, -1, -1, 4, 1, 1, 0, 1, -1, -1, 2, -2, 0, 0, 1, -2, 1, 0, -1, -2, -1, 0, -1, -1, 1, 1, 4, 1, -1, 0, -1, 0, 2, -1, 0, -2, 0, 0, 0, 0, 0, 0, -1, 1, 0, -2, 0, 1, 1, 4, 0, 0, -1, -2, -2, 0, -2, 1, -1, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, -2, -1, 0, -1, 1, -1, -1, 1, 0, 0, 0, 4, 1, 1, -1, 1, 0, 1, 0, 0, 0, -1, 0, 1, 3, -1, 1, 1, 0, -1, -1, -1, 0, 1, 4, 0, -2, 1, -2, 2, 2, -1, 1, 0, -1, -1, 1, -2, 1, 2, -2, -1, 0, -2, 0, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, -1, 1, -1, -2, 0, 0, -2, -2, 1, 0, 0, 1, 0, -1, -1, -2, 1, 0, -2, 4, -2, -1, 1, -2, -1, 1, 0, -1, 2, 2, -2, -1, -1, 0, 1, 0, 0, 2, 0, -1, 2, -2, 4, 0, -1, 2, 0, -1, 0, -1, -2, -1, 1, 0, 1, 0, -1, -1, 0, -2, 0, 0, 1, -1, 0, 4, 1, 1, 0, -2, 0, -1, -1, -1, 2, 1, 1, -1, 1, 1, 0, -1, -1, 2, -1, 1, -1, 1, 4, 0, -1, 0, 0, 1, 1, 1, -1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, -2, 2, 1, 0, 4, 1, 0, 1, -1, -2, -1, 2, 0, 2, -1, -1, -1, 1, -1, 0, 0, -1, -1, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 2, -1, 0, 0, -2, 1, 1, 1, -2, 0, -2, 1, -1, -2, 0, 0, 0, 6, 0, 2, 1, 0, -3, 0, -1, -1, 1, 1, -1, 1, 2, -2, 0, 0, 0, 0, 0, 1, 1, 0, 4, 0, 0, -1, -1, 0, 0, 0, -2, 1, 2, 1, 1, -1, 0, -1, -1, -1, 1, -1, 0, 2, 0, 6, 0, 0, -2, 2, -1, 1, 1, 1, 0, 0, 1, 0, -2, 2, -2, -1, 1, -2, 0, 1, 0, 0, 4, 2, -2, -1, 0, 0, 0, 0, 0, 2, 0, -1, -2, 2, -1, -1, 1, -1, 0, 0, -1, 0, 2, 4, -1, 0, 0, 0, 1, -1, 1, 1, -2, 0, 1, -2, 1, 2, -1, 2, 2, -3, -1, -2, -2, -1, 6, 0, 2, 0, -1, 0, 0, -1, -3, 2, 0, -1, 0, 1, 1, 0, -1, 0, 0, 2, -1, 0, 0, 4, 0, 0, 1, 1, 0, -1, 0, 2, 0, -1, 1, 1, 1, 2, 0, -1, 0, -1, 0, 0, 2, 0, 4, 0, -1, -1, 1, 0, 0, 0, 1, 0, 0, -1, 1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 4, -1, 0, -1, 1, 1, 0, 0, 1, -1, 1, 1, -1, -2, 1, -2, 1, 0, 1, -1, 1, -1, -1, 4, 0, -1, -1, 0, 1, -1, 0, -1, 1, 0, -1, 1, 1, 1, 1, 0, -1, 0, 1, -1, 0, 0, 4, 0, 1, 0, 1, -1, 0, 0, 0, 0, 1, 1, -1, 2, 0, 0, 1, 0, 0, 1, -1, -1, 0, 4, 0, -1, 0, -2, 2, -2, -1, 1, -1, 1, 1, 1, 0, 2, 1, -1, -1, 0, 1, -1, 1, 0, 4, 1, -1, 1, 0, 0, -1, 1, 0, -2, 2, 1, 1, 0, -2, -3, 0, 0, 1, 0, 0, -1, 1, 6, -2, 0, -1, 0, 2, 1, 0, 0, -2, -1, 0, -1, 0, 2, 2, 0, 0, 1, 1, 0, -1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 1, -2, -1, -2, 0, 1, 1, -1, -1, 0, -1, -1, -2, 0, -2, -2, -2, -2, -1, -1, 4, 0, -2, -1, -1, 1, -1, 0, -1, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, 0, -1, 2, 0, 4, -1, -1, -1, -2, 0, 0, -1, -1, 0, 0, -1, 0, -1, -1, -2, -2, -2, -2, 0, 1, -2, -1, 6, -1, 2, -2, 2, 2, 0, -1, 1, -1, 1, -2, 2, -1, -1, 0, 1, -2, -2, -2, -1, -1, -1, 6, 2, 2, 2, -3, -2, 0, -2, -1, 2, 2, 2, -1, 1, 2, -1, 3, 0, -1, -1, -1, 2, 2, 6, -2, 1, -1, -1, -1, -2, 1, 2, 0, 4, 0, 1, 0, 2, 1, -2, -2, 1, -2, -2, 2, -2, 6, 1, -1, 0, 2, 0, -1, 1, 0, -2, -1, 2, 2, 1, 1, 2, 0, -1, 0, 2, 2, 1, 1, 4, -1, -1, 0, 0, -2, 1, -1, 0, -2, -1, 0, 0, -1, -1, 1, 0, 0, 2, -3, -1, -1, -1, 4, 1, -1, 2, 0, 0, -2, -1, 0, 0, 0, 0, -1, -1, 1, -1, -1, 0, -2, -1, 0, -1, 1, 4, 0, 0, 1, -1, 0, -1, 2, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0, -1, 2, 0, -1, 0, 4, -1, 0, 0, 0, -1, 0, 1, 1, 0, 1, 2, -1, 1, 0, 1, -2, -2, 0, 0, 2, 0, -1, 6, -2, 0, 0, 0, 0, 0, 1, 1, -2, -1, 0, 1, 0, -1, -1, 1, -1, -2, 0, 1, 0, -2, 4, -1, 0, 1, 0, 0, -1, 1, 1, 1, -1, 0, -1, 1, 2, 2, 1, 1, 0, -1, 0, 0, -1, 4, 0, 1, -1, 1, 1, 0, 1, -1, -1, 0, 0, -2, 2, 0, 0, -1, -2, 0, 0, 0, 0, 0, 4, 1, 1, 0, 1, -1, 2, 0, -2, -1, -1, 2, 2, 4, -2, 0, -1, -1, -1, 0, 1, 1, 1, 6, 0, 1, 1, 2, 1, -1, 0, -1, -1, -1, -1, 0, -1, -2, 0, 2, 0, 0, 0, -1, 1, 0, 4, 1, 0, 0, 1, 1, -2, 0, -2, -1, 1, 1, 2, -1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 4, 2, 2, 2, 1, -2, 0, -2, 0, 2, 0, 2, 0, 0, -1, 1, 1, -1, 1, 1, 1, 0, 2, 4, 0, 2, 0, -2, 1, -2, 1, -1, 2, 1, 0, 0, 0, 0, 1, 1, 0, -1, 2, 0, 2, 0, 6, 0, 0, -2, 0, -2, -2, 3, 1, 1, -1, -1, 0, 1, -2, 1, 1, 2, 1, 1, 2, 2, 0, 6, 0, -1, -1, 0, -2, 0, -2, 2, -1, -1, 1, 2, -1, 1, -1, 0, -1, 1, 1, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 0, 2, 1, 1, 2, -2, 2, 1, 1, 0, -1, 1, -1, -1, 1, 0, -1, -1, 2, 1, 4, 0, 1, 0, 1, 2, -1, -1, 1, 2, 2, 0, 1, 1, -1, 0, 2, 1, 0, -1, 0, 1, 0, 4, -1, 0, 1, 1, 2, -1, 1, 0, 0, 1, -1, -1, -1, 0, -1, 1, 0, -1, 1, 0, 1, -1, 4, -1, 0, 1, -1, 0, 0, -1, 0, -1, -1, 1, -1, 0, 0, 0, 1, 0, -1, 2, 0, 0, -1, 4, -1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 1, 1, 1, 0, -1, 4, 0, 1, -2, 1, 2, -1, -1, 0, 1, -1, 0, 1, -1, 0, -2, 0, 1, 2, 1, 1, 0, 0, 4, -1, -1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, -1, 2, -1, 2, 1, -1, 6, -2, 1, 0, -1, -1, -1, -1, -2, -2, -1, -1, -2, -1, 1, -2, -1, -1, 0, 0, -2, -1, -2, 4, 0, -2, 1, 0, 0, 0, 2, 0, -1, 1, 1, 1, -1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 4, 1, 1, 1, -1, 1, -1, 0, 0, 0, -1, -1, 2, 1, 2, 0, -1, 0, 2, 0, 0, -2, 1, 4, 0, 0, 1, 0, -1, 0, 2, -1, -1, -1, 1, 1, 2, 0, 0, 1, -1, 1, -1, 1, 1, 0, 4, 0, 1, 0, 0, -1, 1, 1, 0, 0, 1, 0, 0, 1, -1, 1, -1, 1, -1, 0, 1, 0, 0, 4, 0, 0, 0, 2, 0, 1, -1, 0, 1, -1, 1, -1, -1, 0, 0, 0, -1, 0, -1, 1, 1, 0, 4, -1, 1, 0, 1, -1, -1, 1, 0, 1, 1, -1, 1, 0, 1, 1, -1, 0, 1, 0, 0, 0, -1, 4, 1, 0, 0, 1, 1, 0, 0, -1, -1, -1, -1, 0, -1, 0, -2, 2, -1, -1, 0, 0, 1, 1, 4, 0, -1, 1, 1, 2, 0, -1, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, -1, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, 1, 0, -1, -1, 0, 2, 1, 0, 1, 0, -1, 0, 4, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 1, -1, 1, 0, -1, 1, 1, -1, 1, 1, 0, 0, 4, 1, 0, 0, -1, 0, 0, 1, -2, 0, 0, -2, 1, -1, -1, 0, -1, -1, 1, 1, 0, 0, 1, 4, 1, -1, -1, -1, -1, 0, 0, -2, 0, -1, 1, -1, -1, 0, 0, 1, 0, 2, 0, -1, 0, 1, 4, 0, 2, 0, 1, -1, 2, 0, 0, 1, -1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, -2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, -2, -1, 2, 2, 0, -1, -1, 2, 1, 4, 0, -2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, -1, -2, 0, 1, -1, 0, 0, 0, -1, 0, 4, 2, -2, -1, 0, 1, -1, 0, -2, 1, -1, 0, 2, -1, 0, -2, 0, 1, -1, -2, -2, -2, 2, 6, 0, 0, -1, 1, 0, -1, -3, 2, 0, 0, 0, -1, 0, -1, 2, -1, 0, -3, 1, 0, -2, 0, 4, 2, -1, 1, 0, 0, 0, 0, 1, 0, -1, 0, 1, 1, 0, -1, 1, 2, 2, 0, -1, 0, 2, 4, 1, 2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 2, 0, -2, -1, 1, 1, 0, 0, -1, -1, 1, 4, 1, -1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, -2, -1, 1, 0, 1, 1, 1, 2, 1, 4, 0, 1, 0, 0, 1, 1, -1, -1, 2, 0, 1, -1, -1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 1, -1, -1, 1, 1, 1, -1, 0, -1, 1, 2, 0, -1, 0, 0, 0, 1, 0, 4, 1, 0, 1, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -3, 0, 0, 1, 0, 0, 1, 6, 0, 0, 1, -2, 0, 1, 2, -1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, -1, 1, 1, 0, 0, 0, -1, 2, 0, -1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 4, 1, -3, -1, 1, 1, 0, -1, -1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 4, 0, -1, 0, 1, 1, -1, 0, -2, -2, -1, 2, 0, -1, -2, 0, -1, -1, -2, -2, 0, -3, 0, 6, 2, -2, -2, 0, 2, 1, -1, -1, -2, -1, -1, 0, 0, 0, -1, -1, -2, 0, -1, -1, -1, 2, 4, -1, 0, -1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, -2, -1, 4, 1, 0, -1, -1, 1, 2, 1, -2, -1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, -2, 0, 1, 4, 0, -1, 0, 1, 0, -1, 0, 2, 0, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 4, -2, 0, -1, -1, 0, 1, -1, -1, -2, 0, -1, -1, 0, 0, 0, -1, -1, 2, 1, -1, -1, -2, 4, 1, 0, -1, 0, -1, 0, 1, -1, -2, -1, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 0, 1, 4, 0, 2, 0, -2, -3, 2, 1, -1, -1, -1, 0, 1, -1, 0, -2, -1, 1, 1, 1, -1, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 1, 0, 2, 0, 1, -1, 0, -1, 1, 1, -1, 1, 1, -2, 1, -2, -1, 0, 1, -1, -1, 6, -3, 0, 1, -1, 2, 1, 2, -1, 2, 1, 1, 0, 1, -2, 1, 1, 2, 1, -1, -1, 1, -3, 6, -2, 0, 1, 0, 0, -2, 2, -2, -1, 1, 2, -2, -1, 1, -2, -3, 1, 0, 0, 0, 0, -2, 4, 0, 1, 0, -1, 2, -1, 0, -1, 0, -2, 0, 1, 0, 0, 1, -2, 0, 1, 2, 1, 0, 0, 4, 1, 2, -1, 0, -2, 2, 2, -1, 0, 2, -3, 1, -2, 0, 0, 1, 0, 0, -1, 1, 1, 1, 4, -1, -2, 0, -1, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, 1, 0, 1, 2, 0, 0, 2, -1, 4, 1, 0, -1, 1, 1, 1, 0, 1, -3, 2, -1, 0, 0, -1, 0, -1, 1, 0, -1, -1, -2, 1, 4, -1, 1, -1, 1, 0, -1, -2, 0, 1, 1, 1, 0, -2, 1, 0, 2, -2, 2, 0, 0, 0, -1, 4, 0, 1, -1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, -1, -1, 2, -1, -2, -1, -1, 1, 0, 4, -1, -1, 1, 1, -2, 2, 0, 0, -1, 1, 0, 1, 1, 2, -2, 0, 2, 0, 1, -1, 1, -1, 4, 2, 0, 0, 2, -1, 0, 0, 1, 0, 1, 0, 1, 1, -1, -1, 2, -1, 1, 1, -1, -1, 2, 4, -1, -1, 0, -2, 0, 0, 1, 0, 0, 0, -1, 1, 1, 0, -1, 0, 1, 0, 0, 1, 0, -1, 4, 0, 0, 0, 0, 1, -1, 1, -1, 0, 1, 0, 2, -2, 0, 0, 0, -1, 0, 1, 0, -1, 0, 4, 1, -1, 0, -1, -1, 1, 1, -1, 1, 1, -2, 0, 2, 1, 1, -2, 1, -2, 2, 0, 0, 1, 6, 0, -1, -1, 1, 1, 2, 0, -2, -2, -1, 1, -3, 0, -3, 0, 1, 2, -1, -2, 0, -1, 0, 6, -2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, -1, 2, 1, 1, 0, 0, 0, 0, 0, -1, -2, 4, -1, -1, 0, -1, 0, -2, 1, -2, 0, -2, -1, -1, 1, 0, 0, 0, 0, 1, -1, -1, 1, -1, 4, 1, 0, -1, 0, -1, 2, -3, 1, 0, 0, 0, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 4, -1, 0, 1, 0, 1, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, -1, 4, 1, -1, 1, -1, 0, 0, 1, 1, -1, -2, 0, 0, 1, 0, -1, 1, 2, 1, -1, -1, 0, 1, 4, 0, -1, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -1, 2, 1, -1, -1, 1, 2, 0, 1, -2, -1, -1, 1, 1, -1, -1, 0, -2, 0, -2, 1, 4, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, -1, -1, 1, 0, -1, 1, 1, 1, -1, 0, 4, -2, 1, 0, 2, 0, 1, -1, 1, 0, -1, 0, 0, -1, -1, 2, 0, -1, 1, 0, 2, 0, -2, 4, 1, -1, -2, 0, 1, 0, -1, -2, 0, 0, 0, 2, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 4, 0, 0, -1, 2, 0, 1, 0, -1, 0, -1, 1, 0, 1, -1, -1, 1, -1, -1, 0, 0, -1, 0, 4, 1, -2, 1, 1, 0, 1, -1, 1, 1, 0, 1, 1, -1, 2, -1, 1, -1, 0, 2, -2, 0, 1, 4, -1, 1, -1, 1, 1, -1, -1, 0, -1, -1, 0, 1, 1, -1, 1, 1, 0, 0, 0, -1, -2, -1, 4, 0, 0, 0, -1, 1, -1, 0, 0, -1, -1, 0, -2, 0, -2, 2, 2, 1, 1, 2, 1, 1, 0, 6, -1, 2, -1, 0, 1, 0, 1, -1, 1, -1, -1, 0, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 4, -1, 0, 0, 0, -1, -1, 2, 0, -2, 1, 0, -1, 1, 2, 1, -1, 1, 0, 1, 0, 2, -1, 4, 0, 0, 1, 0, -1, 0, 0, 1, 0, 0, 0, -2, 0, 0, -2, 0, 1, 1, -1, -1, 0, 0, 4, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, -1, 1, -1, 0, -1, -1, -1, 1, 0, 0, 0, 0, 4, 1, -1, -1, 1, 0, 0, 1, 1, 2, -1, 1, 0, 0, 0, 1, -1, -1, 1, 0, 1, 0, 1, 4, -1, 0, 1, 1, -1, 1, 1, 2, 1, -1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, -1, -1, 4, 0, -1, 0, 1, 0, -1, 0, 1, -1, -1, 2, 1, 0, -1, 0, 1, -1, -1, 0, -1, 0, 0, 4, 0, 0, -1, -1, 0, 0, -1, 1, -1, -1, 0, 1, -1, -1, -1, 2, 0, 2, 1, 1, -1, 0, 4, 1, -1, 1, 1, 1, -1, 0, 2, -1, 1, 1, 0, -1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 4, -1, 0, 2, 1, 0, -1, 0, -1, -1, -1, 1, 0, -1, -2, 1, 0, 0, -1, 1, -1, -1, -1, 4, -1, -1, 0, -2, 1, -1, 0, -1, 2, 1, -2, -1, 1, 0, 1, 1, 1, 0, -1, 1, 0, -1, 6, 0, 3, 0, 1, 1, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 2, -1, 0, 4, 0, -2, 1, 0, 0, -1, 1, 1, -2, 1, -1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 3, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, -1, -1, 2, -1, 2, -1, 1, -1, -1, 1, 4, 1, -1, 1, 1, 1, -1, -1, -2, 1, 1, 1, -1, -2, 2, -1, 2, 1, 1, -1, -2, 0, 1, 4, 0, 0, -1, -1, 1, 1, -1, 2, 0, 0, -1, -2, 2, -2, 0, 0, 0, -1, -2, 0, -1, 0, 4, -2, 0, 1, -1, -1, 0, -1, 0, 1, 0, 0, 1, -1, -2, -1, -1, 0, -1, 0, 1, 0, -2, 4, -1, -1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 2, 1, -1, -1, 1, 1, -1, 0, -1, 4, 0, 1, -1, -1, -1, 1, 0, 0, 0, 0, 1, 2, -1, 1, 0, -1, -1, 1, -1, 1, -1, 0, 4, -1, -1, 0, -1, 1, 2, -1, -1, -1, 0, -1, 1, 0, 1, 1, 0, -1, 1, -1, -1, 1, -1, 4, 2, 1, 1, 0, -1, 0, 0, 0, 0, 1, -1, 1, 0, 1, 1, -1, 1, -1, 0, -1, -1, 2, 4, 1, 1, -1, 0, -1, -1, 1, 0, 1, 0, 0, 0, 1, -1, -2, -1, 0, 0, -1, 0, 1, 1, 4, -1, 0, 0, 0, 2, -2, 1, 0, -1, -1, 0, 2, 0, 1, 2, -1, 0, -1, -1, 1, 1, -1, 4, -1, -1, -1, -2, 2, -1, 0, 0, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, 0, -1, 0, -1, 4, 2, -1, 1, -1, 1, 0, 0, -1, 1, 0, 0, 1, 0, 1, -1, 0, 2, -1, 0, 0, -1, 2, 4, -2, 0, 0, 0, 0, 0, -1, 1, 0, -1, -1, -1, 0, 1, 0, -1, 0, -1, 0, -1, -1, -2, 4, 1, 0, 0, -1, 1, 0, -1, 1, -1, -2, -2, 0, 1, 0, -1, 0, -1, 2, -2, 1, 0, 1, 6, -2, 1, -1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, -1, 0, 1, -2, 2, -1, 0, 0, -2, 6, -2, 1, 0, 1, -2, -2, -1, -1, -2, -1, 0, 1, 0, 0, 0, 1, -1, 1, 0, 0, 1, -2, 4, 0, 0, -1, 2, 2, 2, 2, 0, -2, 0, 2, -1, 1, 1, 0, 0, 0, 0, -1, -1, 1, 0, 6, -1, 1, -1, 0, -1, 1, 0, -1, 2, -1, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 4, 0, 0, 0, 1, 1, 0, -1, 1, 1, 0, 1, 0, -1, 1, -1, -1, 0, 0, 1, -1, 1, 0, 4, 0, -1, -1, -1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 1, -1, 0, -2, 2, -1, 0, 0, 4, 1, -1, -2, -2, -1, -1, -1, 1, 1, 1, 2, -1, 0, 0, 1, 0, -2, 2, 0, 0, -1, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, -2, 0, 1, 0, 1, 1, 1, -1, 2, 1, 1, 0, 2, -1, 1, -2, -2, 2, 1, -1, -1, 4, -1, -1, 1, 1, 0, 1, 0, -1, 0, -1, -2, 0, -1, 1, -2, 0, -1, 0, -2, 2, -2, -1, 4, 0, -2, -1, 0, -2, 0, 0, 0, 1, 0, -1, 0, -1, 1, 2, 2, -1, 0, -1, 0, -1, 0, 4, -1, -2, 0, -1, -1, 2, 1, 1, -1, 0, 0, 1, 1, 1, 2, 0, -1, -2, 1, 1, -2, -1, 4, 1, 1, 1, 0, -1, 0, -1, -1, 1, 0, 0, 0, 0, -1, 0, -1, 2, 0, 1, -1, -2, 1, 4, 1, 0, -1, -1, -2, -1, -1, -1, -1, 0, -2, -2, 0, 0, -1, 2, 1, 0, 0, 0, 1, 1, 4, 0, 1, -1, 1, 0, 0, -2, 1, 0, 0, -1, 1, 1, -2, 1, 1, 1, -2, -1, 1, 0, 0, 4, 2, 0, 1, -1, 1, 0, 1, 0, 0, -2, -3, 0, 1, 2, 1, 0, 0, -1, 0, -1, 1, 2, 4, 0, 1, 0, 1, 0, 1, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, 2, -1, -1, -1, 0, 0, 4, 0, 0, -1, 1, -1, 0, 0, 0, 2, -1, 1, -1, 2, 0, 0, 1, 0, -2, 1, 1, 1, 0, 6, 0, 1, -1, 1, 0, 1, 0, -1, 0, 0, -2, 1, -1, 1, 1, -1, -1, 0, -1, 0, 0, 0, 4, -1, 0, 2, -2, 1, -1, 0, 0, 0, -2, 1, -2, 0, -1, -1, -1, 0, 1, 1, -1, 1, -1, 6, 0, 1, 0, 0, 0, -2, 1, 3, 0, 0, 0, -1, 0, 1, -1, -2, 0, 0, 1, -1, 0, 0, 4, -1, 0, 0, 1, -1, 0, 2, 0, 2, -1, 0, 0, 0, -1, 1, 1, 1, -1, 1, 2, 1, -1, 4, -2, 1, -2, -1, 1, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, -2, 4, 0, 1, 0, 0, -1, 1, 1, -2, 1, 1, 0, -2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 4, 1, 0, 0, 1, -1, -2, 0, 2, 1, 0, -2, -1, -2, 0, 0, 0, -1, 0, 1, -2, 1, 1, 6, 2, 0, 0, -1, -2, -1, 2, 2, -1, 0, 1, -3, -1, 2, -1, 0, -2, -1, -1, 0, 0, 2, 6, -1, -2, -1, 2, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, 0, 1, 0, 1, 0, 0, 0, -1, 4, 1, 0, 1, -2, 0, -1, -1, -1, -2, 1, 1, 1, 0, 0, 3, 2, 0, -1, 1, 0, -2, 1, 6, -1, -1, 2, -1, -2, 2, 2, 1, 2, 0, -1, -2, -2, 0, 0, 0, 1, -1, -1, -1, 0, -1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, -1, 2, -1, -2, 0, 1, 0, -1, 1, 1, -1, -1, -1, -1, -1, -2, 1, -1, -2, -1, 4, -1, 0, 0, 0, 1, 1, 1, 1, -1, -2, -1, 1, -1, 1, -1, -1, 1, 0, 2, -1, 0, -1, 4, -1, 0, 0, 0, -1, -1, -2, 1, -1, -1, 0, 1, 1, -1, 1, 0, 0, -1, 0, -1, 0, -1, 4, -1, 2, 0, 1, -1, 0, 1, 2, 1, 1, 1, -1, 2, 1, 0, 1, -1, 2, 2, 0, 0, -1, 4, -2, -2, 1, 0, 0, -1, 0, 0, -1, -2, 0, -2, -1, -2, -1, 0, -1, -1, 0, 0, 2, -2, 4, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, -2, 1, 0, 0, -2, 1, 4, -1, -1, 0, 0, 0, -1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1, 4, 1, 1, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, -1, 1, 4, 0, -1, -2, 0, -1, -1, 0, 0, -1, -1, 0, 0, -2, 0, 1, -2, 0, 0, 0, 0, 1, 0, 4, -1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 2, -1, -1, -1, 1, 1, -1, 2, 0, 1, -1, -1, 4, 1, 0, 1, 1, 0, 0, 1, 1, 1, -1, 3, 1, -2, -1, 2, 0, 0, 0, 0, -2, 0, 1, 6, 2, 0, 0, -1, 2, 1, -1, 0, -3, 1, 1, -1, -1, 1, 0, 0, -1, -1, 0, 1, 0, 2, 4, 0, 0, -2, 1, 1, -1, 1, 0, 1, -1, 1, 0, 1, -1, 2, 2, 0, -1, 1, 1, 0, 0, 4, 0, 0, 0, 1, 1, 1, 1, 1, -1, -1, 1, 1, -2, 1, 1, 0, -1, 0, 1, 0, 0, 0, 4, -1, 1, 0, 2, 1, -1, 1, -1, 1, 1, -1, 0, 0, 0, 1, 0, 0, 0, -1, -2, 0, -1, 4, 0, 0, 0, -1, 1, 0, -1, -1, -1, 2, -2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 4, 1, 0, 0, -1, 1, -1, -1, 1, 1, -1, 2, 1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 1, 4, 0, 1, 0, 2, -2, 1, 0, 0, -2, 1, 2, 0, -1, 1, 1, -1, -1, 1, 2, 0, 0, 0, 4, 0, 1, 1, 1, 0, 0, 1, -1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, -1, 0, 1, 0, 4, 1, 1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 2, -1, -3, 0, 1, -1, 1, -1, 0, 1, 1, 6, 0, -2, -1, 0, 2, -1, 2, 0, 0, -2, -1, 3, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, 1, 1, 1, -1, 2, 1, -2, 0, 1, -2, -1, -1, -1, 1, 2, -1, 1, 0, 1, 1, 4, -1, 2, 2, 0, -2, -1, 0, 0, 0, 2, -2, 0, 1, -1, 1, 1, -1, 1, -1, 1, 2, -1, 4, -1, 0, 1, -1, 1, 1, -2, -1, -1, -1, -1, -1, 0, 1, 2, -1, 1, 0, 1, 1, 2, -1, 4, 1, -1, -1, -1, -1, 0, 0, 2, -1, 0, 1, 0, 0, 1, -1, 0, 1, 1, 1, 2, 0, 1, 4, -1, -1, 0, 1, 1, 1, 1, -2, -1, -1, -1, 1, 0, -1, 2, -1, 0, 1, 0, 1, -1, -1, 4, -1, 2, -1, -2, -1, -1, -1, 1, 0, -1, -1, 1, 1, 0, 0, 1, -1, -2, -1, -1, -1, -1, 4, 1, 1, 0, 1, -1, 2, -1, 0, 1, 0, -2, 0, 0, 0, -2, 2, -1, 1, -1, 0, 2, 1, 6, 2, 0, -1, -1, -1, 1, -1, -2, 0, 1, -1, 1, 0, 0, 1, 0, 1, -1, 1, -1, 1, 2, 6, -1, 0, -1, 0, 0, -2, 1, 3, 0, -1, 1, 0, 0, -2, 0, -2, 0, 1, -2, 0, 0, -1, 6, 1, 0, 1, 1, 1, -1, -1, -1, 0, -1, -1, 0, 0, 0, -1, 0, 1, -1, 1, -1, 0, 1, 4, 1, 1, -1, 0, 0, 1, -1, 1, 0, -1, 0, 1, 2, -1, 2, 1, -1, -1, -1, -1, 0, 1, 4, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0, -2, -2, -1, -1, -2, -1, 2, -1, 0, 1, 1, -1, 4, 0, 1, 1, 0, -1, 1, -1, 1, 0, -1, 0, -1, 0, -1, 1, -1, 1, 0, 1, -1, -1, 0, 4, 0, 0, -1, 0, 0, -1, 1, 1, -1, 1, -1, 1, -1, 0, 0, -1, -2, 1, 0, 0, 1, 0, 4, -1, -1, 0, 0, 0, -1, 1, -1, -1, 0, 0, -1, -1, 1, -2, 1, -1, 0, -1, 1, 0, -1, 4, 1, -1, 0, -1, 1, 0, 1, 1, 1, 0, 1, -1, 0, 0, 3, -1, 1, 1, 0, -1, -1, 1, 4, 1, -1, 1, 0, 1, 2, 1, 2, 1, 0, 1, -2, 1, 0, -1, -1, 1, -1, 0, 0, -1, 1, 4, -1, 1, 1, 2, -1, -1, -1, -1, -1, 1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, -1, -1, 4, -2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, -1, 0, 0, -1, -1, 0, -1, 1, 1, -2, 4, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, -1, -1, 0, 1, 1, -1, 1, 0, 1, 0, 0, 4, 0, 1, 1, 1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 1, 1, 1, 1, -1, 0, 1, 0, -2, -2, -2, -1, -1, 0, -2, -1, 1, -1, 0, 0, 1, 4, 2, 2, -1, 0, 1, 1, 2, 1, 1, -1, -1, 0, -1, -1, -2, -2, 0, 0, 0, 0, 1, 2, 4, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, -2, -1, -1, -2, 0, 0, 0, 1, 1, 2, 1, 4, -1, 1, 1, -1, 2, 1, -1, 0, -1, 1, 0, 1, -2, -2, 1, -1, -1, 1, 1, -1, 0, -1, 4, -1, 0, 1, 1, 0, -1, 0, 0, -2, -1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, -1, 4, -1, 0, -1, 1, -1, 0, -1, 1, 0, 1, -1, 0, 0, -2, 0, 1, -1, 1, 0, 1, 0, -1, 4, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, -1, 1, 0, 1, 4, 0, 1, 1, -1, -1, 0, -2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, -1, 1, 0, 4, 1, -1, 0, -1, 0, 0, 1, -2, -2, 0, 1, 0, 1, 0, 1, -1, 1, 0, 1, 1, 1, 1, 4, 1, 0, -1, 1, 0, 1, -1, -1, 0, -1, 0, 1, -2, 1, -1, -1, -1, -1, 0, 1, -1, 1, 6, -1, 1, 0, 0, -1, 1, 1, 0, 0, 0, -1, -2, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 4, 2, 0, 0, 0, 1, 0, -1, 0, -1, 0, -2, -1, 0, -1, 0, -1, 0, -1, -1, -1, 1, 2, 4, -1, 1, -1, 2, 0, 0, 1, 0, 0, -1, 0, 0, 1, -2, 1, 1, 0, 0, 1, 0, 0, -1, 4, 0, 1, 0, 0, -1, -1, 1, 1, -1, -1, -2, 0, -1, 0, 0, -2, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 1, 1, 1, 0, 0, 1, 1, -1, 0, -1, 1, 0, 4, 0, 0, 0, 0, 0, 2, -2, -2, -1, -2, 0, -1, 1, 0, -2, -1, 1, 1, 2, 0, 0, 0, 4, 2, 0, 0, 1, 0, -1, -2, -2, -2, 0, 0, 0, 0, -2, -1, 1, 0, 0, 0, 0, 0, 2, 4, 0, 0, 1, -1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 4, -1, -1, 1, -1, 0, 0, -1, 1, -2, 0, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, -1, 4, 1, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 1, -1, 1, 4, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, -1, 0, 0, 1, 0, 2, 0, -1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 1, -1, 1, -1, -1, 1, -2, -2, 0, -1, 0, 0, -1, 1, 2, -1, -2, 0, 0, -2, 4, -2, 0, 2, 1, 1, 2, -1, 2, 1, 0, 0, 1, 0, 0, -1, -1, 1, 2, 0, 1, 2, -2, 4, -1, -1, 0, -1, 0, 1, -2, -1, -1, 0, 0, 0, 1, 0, 2, -1, -2, -1, 0, 1, 0, -1, 6, -2, -1, 2, -1, 0, 1, 2, 2, -2, 2, 2, 0, 1, 1, 2, 1, -1, 2, -1, 2, -1, -2, 6, -1, 0, 0, -2, 0, -2, 0, 0, 0, -2, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 6, 1, 2, 0, 0, -1, 0, 1, -1, -1, -1, -1, -1, -2, 0, 0, 1, -1, 1, -1, 2, 0, 1, 4, 1, 0, 1, 2, 2, -1, 1, 0, 0, -1, 0, 1, 1, -1, 2, -1, 2, 0, -1, 0, 2, 1, 4, 1, 0, 0, -1, 1, 0, -1, 1, -2, 0, 0, 1, -1, 1, 1, -1, 1, 0, -2, 0, 0, 1, 4, -2, 0, 0, 0, -1, 1, 0, 1, 1, -1, -1, 0, 0, -2, 2, -2, 1, 0, 0, 1, 0, -2, 4, 2, 1, 0, 1, 0, 0, 0, -2, 2, 2, 0, 1, -2, 1, -1, 2, -2, -1, 2, 0, 0, 2, 6, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, -1, 2, 0, 0, 2, -1, 0, 1, 0, 4, -2, 0, 0, -2, 1, -1, 1, 1, -1, 2, -1, 0, 0, -2, 0, 1, -1, 1, 0, 0, 0, -2, 4, -2, 0, 1, 0, -1, -1, -1, 1, -1, 0, 1, 0, 2, 0, -1, 1, 0, -1, 1, 1, 0, -2, 4, 0, 1, -1, 1, 1, 1, 0, 1, 0, 0, 0, 2, -2, -1, 0, -1, 1, 0, 2, 0, 0, 0, 4, 0, 1, 0, 1, 0, 0, 0, -1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 2, -2, 1, 1, 0, 4, 0, 1, 0, 0, 0, 0, 1, -1, 0, 1, -1, -1, -1, -2, 1, 0, 1, 1, 0, -1, 1, 0, 4, 0, 0, -1, 1, 0, 2, -1, 2, 1, 0, -1, 0, 0, 1, -2, 0, -1, -1, 1, 0, 1, 0, 4, 0, -1, 0, 0, -1, 1, -1, 2, 0, -2, 1, 0, -1, 2, 2, 1, -1, 1, 1, 0, 0, 0, 4, 1, -1, 1, -2, 2, -2, 1, 0, 0, 1, 1, -1, 2, 1, 1, -1, 1, 0, 0, -1, -1, 1, 4, 0, 1, 0, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, 4, -2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, -1, 1, 0, 0, 0, 0, 1, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 0, 0, 1, -1, -1, 0, 1, 2, 1, -1, 0, -1, 1, 0, -1, -1, 1, -1, -1, 4, 1, -1, 1, 1, -1, -1, -1, 0, 1, -1, -1, 1, 1, 2, 1, -1, -1, 0, -2, 2, 0, 1, 4, 1, 0, 0, 1, -1, 1, 1, 1, -1, 1, -1, 1, 0, -1, 0, 0, 1, -2, 0, 2, -1, 1, 4, 0, 0, 0, -1, -1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, 1, -2, 0, 1, 0, 0, 4, 0, 0, 1, 0, 1, -1, 1, -1, 0, -1, 0, 1, 1, -1, 1, 1, -1, 0, 1, 0, 0, 0, 4, -1, 1, 0, 1, -1, 0, 0, 2, 1, 1, 2, -2, 0, 0, -2, 2, 1, -1, 1, 0, 0, -1, 4, -1, 2, 1, 0, 0, 2, -1, -1, -1, 0, 0, -1, 1, 0, -2, -1, -1, -1, -1, 1, 1, -1, 4, 1, 0, -1, 0, 0, 1, 0, -1, 0, 1, 1, 1, 0, 1, -1, -1, 1, -1, 0, 0, 2, 1, 4, 0, 0, 0, 2, 0, -1, 0, -1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, -1, -1, 0, 1, 0, -1, 1, 0, -1, 0, -1, -1, 1, 1, 1, 0, -1, -1, 0, -1, 0, -1, 4, 0, 0, -1, 1, 1, 0, 1, 0, -1, 0, 1, 2, -1, -1, 0, 1, 0, 0, 0, 0, -1, 0, 4, 0, 0, -1, 0, 1, 1, -1, 0, 1, -1, 1, -1, 1, 0, -1, 0, 2, 0, 2, 0, 0, 0, 4, -1, -1, -1, -1, 0, -1, 1, 0, 0, -1, 1, -1, -1, 0, 2, -1, 1, 0, 1, -1, 0, -1, 4, 1, 1, 1, -1, 0, 0, -2, 2, 0, 1, 1, 1, -1, 1, -1, 0, -1, 0, 1, -1, -1, 1, 4, 0, 1, -1, 1, -1, -1, 2, -1, 2, 0, -1, 0, 1, -1, -1, 0, -1, 1, 0, -1, 1, 0, 4, 1, -1, 0, 0, -1, 2, 1, 1, -1, 0, 1, 2, 0, 0, -1, 1, 0, 1, -1, 1, 1, 1, 4, -1, -1, -1, 0, 1, 0, -1, 0, 0, 1, -2, 0, 1, 1, 0, 1, 1, 0, -1, -1, -1, -1, 4, 0, 1, 2, -1, -1, -1, 0, 1, -1, 0, -1, 1, 0, -1, 0, -1, -1, 0, 1, 0, -1, 0, 4, 0, 0, 0, -1, 0, 1, 0, 1, 0, 1, 1, 2, 0, -1, 0, 1, 0, -1, 0, -1, 1, 0, 4, 0, -1, 1, -2, -2, 1, 1, -2, 0, 0, 0, -1, 0, 1, 0, -2, -1, -1, 0, 2, 0, 0, 6, -2, -1, 2, 0, -2, -1, 2, -2, 1, 0, -1, 1, -1, 0, 2, 2, 2, 1, -1, 0, -1, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, 1, -1, 2, 0, 1, -2, 0, -1, -1, -1, 1, 1, -1, -1, 0, 0, 1, -1, -1, 4, -1, 0, -2, 0, 0, 1, 1, 1, 1, 0, 1, 0, -2, 1, -1, 0, 1, 1, 1, 0, 0, -1, 4, -1, 2, -1, 0, 1, -1, 1, -2, 0, -2, 0, -1, 0, -1, 0, -2, -2, 1, -1, 2, 0, -1, 6, -2, 1, 0, -1, 2, -2, 0, 0, 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 1, -2, 2, -2, 6, -1, 1, -1, -2, 0, 0, -2, -1, 1, 2, -1, -1, 1, -1, -1, 2, -1, -1, 0, -1, 1, -1, 4, -1, 0, -1, 1, 0, -1, 2, 2, -1, 0, 2, 2, 0, 0, -2, 1, 2, 0, 0, 0, 1, -1, 4, 1, 0, -1, -1, -1, 0, -1, -1, 2, -2, -1, -1, 0, 2, 0, 0, 1, 1, -1, -1, 0, 1, 4, 0, 1, 0, 0, 1, 0, -2, 1, -1, 0, 0, -1, 1, -1, 1, 1, -1, 2, -2, -1, 0, 0, 4, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, -2, 1, 1, -2, 0, 1, -1, 1, 0, 4, -1, -1, 1, 1, -2, -1, 0, 2, 0, 0, -1, -1, 0, 1, -2, 0, 0, 0, -1, 0, 0, -1, 4, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, -1, 0, 0, 0, -2, -1, -1, 0, 0, -1, 0, 4, -1, -1, 0, 1, 1, -2, 0, 0, 0, 0, -1, 1, -2, 0, -1, 2, 0, 1, 0, 1, 1, -1, 4, 1, 0, -1, 1, 2, 1, 1, 0, 1, -1, 0, 0, 0, 1, 2, -1, 0, 0, 1, 0, -1, 1, 4, 0, -1, 1, 2, -1, -1, 0, 0, 1, -2, -1, 1, 2, -1, -1, -2, 1, -2, 2, 0, 0, 0, 6, -3, 1, 0, 1, 0, 0, 0, 1, 1, 0, -1, -1, 0, 2, 1, -1, -1, 0, 1, -1, -1, -3, 6, 0, -2, -1, 1, 1, 1, -1, -1, -1, 1, -1, 2, -2, -1, 0, 0, 1, 1, 1, 1, 1, 0, 4, 1, 0, 0, -1, 1, -1, 0, 0, 0, 1, 2, -1, 0, 0, 2, 0, -2, 2, 2, 0, -2, 1, 4, 0, 0, 0, 0, 0, 1, -2, 0, -1, 0, -1, 0, 0, 0, 2, 0, 1, -1, 1, -1, 0, 0, 4, 1, -1, 0, 0, 1, -2, -1, -1, 0, 0, -1, 0, 0, 1, 0, 1, -1, 0, 1, 0, 0, 1, 4, 0, 1, 1, 1, 1, 0, 2, -2, 2, 1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, -1, 0, 6, -1, -1, 0, -1, 0, -1, 1, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 2, 0, -1, 0, 1, -1, -2, 2, 1, 1, 1, 1, -2, -2, 0, -1, 0, 0, 0, -2, 4, -2, -2, 1, -1, -1, -1, 1, 2, -1, 1, -2, -2, -1, 2, 2, 0, 0, 0, 1, 0, 2, -2, 4, 1, -1, -1, 1, 0, -1, -2, 1, 1, 1, 0, 0, -2, -2, -1, -1, 1, -1, 1, 2, -2, 1, 4, 1, 1, 0, 1, 0, -2, 1, -1, 2, 1, 2, -2, 0, -1, -1, 1, 0, -1, 0, 1, -1, 1, 4, 0, 0, 1, 2, 1, 1, 0, -1, 0, 1, -1, 2, -1, 0, 1, 0, -2, -1, -1, -1, 1, 0, 4, -1, 0, 1, 0, -1, -1, 1, 1, 1, 1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, 0, -1, 4, 1, 0, 0, 1, -1, 0, 1, 1, 0, 1, -1, -1, 0, -1, 0, 1, -1, 0, 1, 1, 0, 1, 4, 1, -1, 1, 0, 1, 2, 1, -2, 1, 0, 0, 0, -1, 0, -1, 1, -1, 0, 2, 1, 0, 1, 4, 1, -1, -1, 0, 0, 1, 1, 1, -1, 1, -1, 0, 0, -2, 2, -2, -2, 1, 0, 0, -1, 1, 4, 0, 0, -1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, -1, 1, 1, 1, -1, 1, 1, -1, 0, 4, 1, 0, 1, 0, -2, 1, 0, -1, 1, -1, 0, 1, 1, 1, -1, 0, -1, -1, 0, -1, 0, 1, 4, -1, 0, -1, 0, -1, 0, -1, 1, 1, 0, 1, -2, 1, 2, -1, 1, 0, 1, 0, -1, 0, -1, 4, 1, 1, -2, -1, 0, -1, 0, 0, 1, 1, -2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 4, 2, -1, 0, 0, 0, 0, -1, 0, 1, -1, 0, 2, 1, 1, 1, 1, 1, 0, 0, -1, 1, 2, 4, -1, 0, -1, -1, 0, 0, 0, -2, 2, -2, -2, -1, 1, 0, -2, 1, 1, -2, 0, -2, -1, -1, 6, 0, 0, 1, -2, 2, 0, -2, 2, -2, 0, 2, 0, 1, 1, 1, 2, 1, -1, -1, 0, 0, 0, 6, -1, 0, 1, -1, -1, 0, 0, -1, -1, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 4, 0, -1, 1, 1, -1, 0, -1, -1, 0, 0, -1, 0, 1, 0, -1, -1, -1, 0, -1, 1, 0, 0, 4, -1, -1, 0, 0, 0, 1, 1, 1, -1, 0, 0, -1, 0, 1, 1, 0, 0, 0, -2, 1, -1, -1, 4, 0, -1, 0, 1, -1, 0, 0, 1, -1, -1, 0, 0, -1, 1, 0, -1, 0, 2, -1, 1, -1, 0, 4, -1, 0, 0, 1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 2, -1, 1, 0, -2, -2, 1, 1, 0, 1, 0, -2, 1, 2, 1, 1, 1, 0, 0, 4, -1, 1, -2, -2, 1, 0, 0, 0, 2, 1, -1, -1, 0, -2, -2, -1, -1, 1, 1, 1, 1, -1, 4, 0, 2, 1, 0, -1, 0, 1, 1, -1, -1, 1, 0, -1, 2, 0, 1, -1, -1, 0, -2, 1, 0, 4, 0, 0, -1, 0, 1, 1, -1, 0, -1, -1, 1, 1, -2, -2, -1, 0, -1, 0, 2, -2, 2, 0, 6, 2, -1, 0, -1, -2, -2, 0, -1, 2, 0, -1, 0, 0, 0, 0, -1, -1, -1, -2, 1, 0, 2, 4, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 1, -1, -1, 0, -2, -1, 1, 1, 0, -1, -1, 0, 4, -1, 0, 0, 2, 2, 0, -1, 1, -2, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 4, 1, -1, 1, -1, -1, 1, 1, 1, 1, 0, -1, 1, 0, -2, -2, 0, 0, 1, -1, 0, 0, 1, 4, 2, 1, -1, -1, 0, 0, 0, 1, 0, 0, -1, 0, -1, -2, 0, 1, 1, -2, 0, 0, -1, 2, 4, 1, -1, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 1, 2, 1, -1, -2, -1, 2, 1, 1, 1, 6, 1, -1, 1, 1, -3, 1, 1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 2, -1, -1, -1, 1, 4, 0, 0, 0, -2, -1, 1, -1, 2, 1, 1, 0, -1, -1, -1, -1, -1, 0, -1, -1, 0, -1, 0, 4, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, -1, 1, -1, 2, 1, -1, 1, 0, -1, 1, 0, 0, 4, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, -1, 4, 1, 0, 0, -1, 0, 0, -1, -2, -2, -1, 1, -1, 1, -2, 1, 0, 0, -3, -2, 1, -1, 1, 6, 1, -1, 0, -1, -1, 0, 1, -2, 2, -2, 0, 1, 1, 1, 1, 1, 1, -1, 0, 0, 0, 1, 6, 2, 1, 0, 0, 0, 2, -1, 0, -2, 0, -1, 1, 0, 0, 0, 1, 1, 1, 0, 0, -1, 2, 4, 1, 1, 2, 0, 1, -1, 1, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, -1, 0, 1, 1, 4, -2, 0, 1, 1, 1, -1, 0, 0, 0, 1, 1, -1, -1, 1, 2, 0, 0, 0, -1, 0, 1, -2, 4, 1, 0, 1, 1, -1, -1, -1, -2, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, 0, 2, 0, 1, 4, 0, 0, 1, 0, 0, -1, -1, 1, -2, -1, 0, -1, 1, 1, -1, -1, 0, 0, 0, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 0, -1, -2, 0, 1, 1, -1, -2, 2, 0, -1, -1, 0, -1, -1, -2, -2, -1, -1, 0, -2, 4, 1, 2, 0, 0, 0, 0, 2, 2, -1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4, 2, -1, 0, -1, 2, 2, -1, -1, 0, 1, -2, 1, 1, -1, -1, -2, 1, 1, 1, -1, 2, 2, 4, 0, 0, 0, 0, 1, 1, -2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, -1, 0, 4, -1, 0, 0, 0, 2, -1, -1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, -1, 4, 0, -1, 1, 1, 0, 2, -1, 0, 1, 0, -1, 0, 1, 1, 0, -2, 1, 0, -1, 0, 0, 0, 4, -1, 1, 0, 0, -1, -1, 0, 1, 0, 1, -2, 1, -1, -2, 0, 1, 0, 2, 0, 0, -1, -1, 6, -1, -2, 0, 1, 2, -2, 1, -2, -2, -1, -4, 0, 1, 1, -1, 2, 2, 1, 0, 1, 1, -1, 6, 0, 0, 0, 0, -1, 0, 1, 1, -1, 0, 1, -1, 1, -2, 2, -1, 1, 2, 1, 0, -2, 0, 6, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, -1, 2, -1, -1, -2, -1, 0, 0, 0, 0, 0, 4, 1, -1, 0, -1, -1, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, -1, 2, -1, 1, 0, 0, 1, 4, 1, 1, 0, 0, -1, 0, 0, 1, 0, -2, -1, 1, 1, 2, 1, -1, -1, 2, 0, 0, -1, 1, 4, 0, 0, 0, 0, 1, -1, 2, 1, 1, -1, 0, -2, 0, 0, 0, 0, -2, -1, 0, 0, 1, 0, 4, -2, 1, 1, 1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, -1, 0, 0, -2, 4, -1, -1, -1, 0, 0, 0, 0, -1, 1, 1, 2, 0, 0, 0, -2, 1, 1, -1, 0, 0, 1, -1, 4, 1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, -1, 1, -2, 1, 0, 0, -1, 0, 1, -1, 1, 4, 1, 1, -1, 0, 1, -2, 0, -1, 0, 1, 0, -2, -1, -1, 1, -1, 0, 1, 1, -1, 0, 1, 4, 1, 1, 2, 0, -2, 0, -2, 0, 1, 1, 1, -4, 0, 1, -1, 0, -1, 2, 0, 1, 1, 1, 6, 0, -1, -1, -1, 1, 1, 2, 1, 1, -1, 0, 1, 1, -1, 1, 2, 0, 0, 1, -1, 1, 0, 4, 1, 0, -1, 0, 1, 0, 0, 0, -2, 1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 2, -1, 1, 4, 0, 0, 0, 1, 0, 1, -2, 0, 1, 1, -1, 0, -2, 1, -1, 0, 0, 1, 0, -1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, -1, -1, 2, 2, -2, 1, -2, -1, -1, 1, 1, 0, 2, 1, -1, 2, 1, 2, 0, 4, 2, -2, 0, 1, 0, 0, 1, 0, -1, -1, 1, 0, -1, 0, 0, 0, 1, -2, -1, 1, 1, 2, 4, -2, -1, 0, 0, 1, 0, -1, 0, -2, -1, -1, 0, 1, 1, -1, 1, 0, -1, 1, 1, -2, -2, 4, 1, -1, 0, 0, -1, 1, 0, 0, -1, 1, 0, -1, 1, 0, -2, 1, 1, 0, -1, 0, -1, 1, 4, 1, 0, -1, 1, -1, 1, 0, -1, 0, -2, -1, 0, -1, 0, -2, -1, 0, -1, 1, 0, -1, 1, 4, 0, -1, 1, 0, 0, -1, 2, -1, 0, -1, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, 4, 2, -1, 1, -1, 0, -1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, -1, -1, 2, 4, -2, 1, 0, -1, -1, 1, 1, 2, 2, 2, 1, 0, 1, 0, -2, 1, 0, -1, 1, 1, -1, -2, 4, -2, 1, 0, 0, -1, 0, 0, -1, -1, 0, -1, -2, -1, 1, 0, -1, 1, -1, 0, 1, 1, -2, 4, -1, 0, 2, 0, 1, -1, 1, 1, -1, 1, 1, 0, -2, -1, 0, 0, 1, 0, -1, 0, 1, -1, 4, 0, 0, 0, -1, 0, 0, -1, 1, -1, 0, -2, -1, -1, -2, 0, 0, -1, 0, -1, 0, 0, 0, 4, 1, 1, 0, 0, -1, 1, 1, 1, 1, 0, -1, 1, -1, -1, -1, 2, -1, -1, 0, 2, 0, 1, 6, 1, 0, -2, -1, 1, 1, -1, 0, 0, 1, 0, -1, 1, 0, -1, 0, 1, -1, 0, 0, 1, 1, 4, -1, 0, 1, 1, 1, 0, 2, 1, 1, -1, 0, 0, -2, 0, 1, 1, 0, 1, -1, 0, 0, -1, 4, 1, 0, 1, -1, 2, 0, 0, 0, 0, 1, -1, -1, -1, 1, 2, 0, -1, 0, 0, -2, 0, 1, 4, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, -2, 1, 2, -1, 1, 0, -1, -1, 1, 0, 1, 4, 0, 0, 1, 1, 1, 1, 0, -1, 0, -1, 0, 2, 2, -1, 1, -1, 1, 1, 1, 1, 1, 0, 4, 1, 0, 1, 0, -1, 1, 1, -2, 0, 0, 0, 1, 0, -1, 1, 1, 1, 1, -1, 1, 0, 1, 4, -2, 0, 0, 2, -2, 0, 1, -2, -2, 0, 0, -1, 1, -1, 1, -1, 0, 2, 0, 1, 0, -2, 6, 2, 1, 1, -1, -1, 1, -1, -2, 0, 1, -2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 4, 0, 2, 1, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 2, -1, 0, 1, 0, 0, -2, 1, 1, 1, -1, 2, 1, 1, -1, 0, -1, 0, 0, -1, 4, -2, -2, 2, 1, -2, 1, 1, 1, -2, -1, 1, 1, -2, 1, -2, 2, 0, -1, 0, -1, 2, -2, 6, 0, -1, -2, 0, 0, 0, -3, 0, 2, -1, -2, 0, 1, 0, -1, 2, 0, -1, 0, 2, -2, 0, 6, 0, 2, 2, 1, -2, -1, 2, 2, 1, -2, 3, 0, 2, 0, -1, 1, 2, -1, -1, 2, -1, 0, 4, 1, 0, 1, -1, 1, 0, -1, 0, -1, -2, 0, -1, 2, -1, 1, 1, 0, 0, 1, -2, 2, 1, 4, -1, 2, 0, 1, 0, 1, 2, 1, 0, 0, -1, 1, 0, 0, 1, 0, 1, -2, 0, 2, 0, -1, 4, -1, -2, -1, 2, 0, -1, -1, 2, -1, 2, -1, -2, 1, 0, 1, 0, 1, 0, 1, 1, 2, -1, 4, -1, 0, -1, 0, 1, 1, -1, 0, -2, 2, 1, -1, 0, 0, 0, 1, 0, -2, -1, 0, -2, -1, 4, 0, -1, 1, 1, 0, 0, 0, -1, -1, 1, -1, -1, 0, -2, 1, -3, -1, 1, 1, -1, 0, 0, 4, 0, -2, 0, 2, -2, -1, 0, 1, 0, 0, 1, 0, 1, -2, 0, 2, 0, 0, 2, -1, -1, 0, 4, 1, 0, -2, 2, 0, 2, -1, -1, 2, 0, 0, 1, -1, 2, 2, -1, 1, 0, 0, 1, -2, 1, 6, 2, -1, 3, 2, 1, 0, 1, 1, -1, -1, 1, 1, -1, 1, 0, 2, -1, 1, 1, 0, 0, 2, 4, 0, 2, 1, 0, 0, 1, 0, 0, 0, -1, 1, -2, -2, -1, 1, -1, 1, 0, 2, -2, -1, 0, 6, -2, 0, -1, 1, 0, -2, 0, 1, 2, -2, 0, 3, -2, 0, 2, -1, 0, -2, 2, 3, 2, -2, 6, 0, 2, -2, 0, 1, -1, 0, 1, 1, 1, 0, 0, 0, -1, 0, 0, -1, 0, 2, 1, 0, 0, 4, 1, 1, 0, 0, 0, -1, 1, -2, 0, 2, -1, -1, 2, -2, -1, 0, 2, 1, 0, -1, 2, 1, 4, -1, -1, 1, 1, 0, -1, 2, -1, 0, 2, 1, -1, 2, -1, 1, -1, 0, 0, 1, -2, 1, -1, 4, 0, 0, 1, -1, 0, 0, 2, -1, -1, 0, -2, 1, 1, 0, -1, 1, 1, 0, 0, 0, -1, 0, 4, -1, -1, 0, -1, -1, 0, 1, 1, 0, 1, -1, -1, 0, 2, 1, 0, -2, 1, 0, 1, 0, -1, 4, 1, 0, 0, 0, -1, 2, 1, 1, 0, 0, -1, 1, 0, -1, 0, 0, -1, 0, 1, 1, -1, 1, 4, -1, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, -1, 0, -1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 2, 1, 1, -1, -1, 2, 2, -2, -1, -1, 0, -1, 1, -1, -2, 0, 1, 1, -2, 0, 4, 1, 1, -1, -1, 2, 1, 0, 2, -1, 1, 2, -2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 4, 2, 0, 0, 2, 0, 1, 1, -1, 0, 2, 1, 1, -1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 4, 1, 0, 0, 0, 1, 2, -1, -1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, -1, 0, 1, 4, 0, -1, 0, 1, 1, -1, 0, 1, 2, -1, 0, -2, -2, 1, 1, 1, -2, 1, -1, 0, 0, 0, 4, -2, -2, -1, 0, 1, 1, -1, 2, -1, 0, -1, -1, -1, 0, -1, 1, -1, 2, 2, 0, -1, -2, 6, 1, 0, 1, 0, 1, 2, -1, 2, -2, 1, 3, 1, 0, 0, 2, -1, 1, 0, 0, 0, -2, 1, 4, 1, 0, 0, -1, 2, -2, 2, -1, 1, 2, 2, 0, 0, -1, 2, 0, 1, 1, 1, -1, 0, 1, 4, 1, -1, -2, 1, 0, -1, 1, -1, 0, 0, 1, 1, -3, 2, 2, 1, 2, 1, 0, 1, 0, 1, 4, -2, 0, 1, 0, 1, 1, -1, 0, 2, 1, 1, -1, -2, -1, -1, -1, -1, 1, 0, 0, -1, -2, 4, 0, 0, 0, 0, 0, 1, 2, -1, -1, -2, 2, -1, 1, 0, -1, 0, 1, 1, -1, -2, 0, 0, 4, 1, 0, 0, -1, 0, -1, 0, 0, 0, 2, -1, 2, 2, 1, 1, -1, 2, 2, 1, 1, 0, 1, 6, -1, 2, 0, -1, 1, 2, 2, 0, 1, 0, -2, 1, 0, 2, 2, -1, -2, 0, 0, 0, 0, -1, 6, -2, -1, -2, 0, -1, 1, 0, 0, -1, 2, 1, 1, -1, -1, 2, 2, -1, 1, 0, 0, 2, -2, 4, -1, 1, 2, 2, 0, 0, 2, 1, 0, -1, 1, 0, 0, -2, -1, 1, 1, 0, -1, 0, -1, -1, 4, -1, -1, 0, 0, 0, -1, -1, 1, 0, 0, -2, -1, 1, 1, -1, -1, 1, 0, -1, -2, 1, -1, 4, 2, 0, -1, -1, 1, -2, 1, 1, 0, -2, -1, 3, 2, 0, 0, 2, -1, 1, 0, 2, -1, 2, 6, 1, 0, -1, 2, 0, 2, 0, 1, 1, -1, 1, 2, 0, 2, -1, 0, 2, -1, 2, 0, 0, 1, 4, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, -1, 0, 2, 1, 0, 0, -1, 0, 0, 4, 1, 0, 1, 0, 1, 0, 1, -1, 0, 0, 1, 1, -2, 0, 0, 0, 0, 0, -1, -1, 0, 1, 4, -2, -2, 1, 1, 0, -2, 1, 2, -1, -3, -1, 2, 2, 1, 0, 2, -1, 1, 2, 0, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, -1, 0, 1, 0, 2, 1, 1, 0, 1, -2, 2, 1, 0, 2, -1, 0, -1, 1, -2, 4, -2, 2, -1, 1, -1, -1, -2, -2, -1, -1, 0, 1, -1, -1, 1, -2, 1, 0, 1, 0, 2, -2, 4, -2, 1, -1, 0, 1, 0, 1, 1, 0, -1, -2, 1, 1, 1, 2, -1, 0, 0, 0, -2, 2, -2, 4, -1, 1, 0, -1, 0, -2, -1, -1, 0, 1, -2, -1, 1, -2, 0, 0, 0, 1, -1, -1, 1, -1, 4, -2, 0, 2, -1, 1, 0, 0, -2, 0, 0, -1, 0, 0, -1, 1, 0, -2, 0, 1, -1, 1, -2, 4, -1, 0, -1, 0, 0, 0, 0, -1, 0, 1, 0, -1, 1, 0, -1, 1, 1, -1, 0, 0, 0, -1, 4, -1, 3, 1, -1, -1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, 2, 0, -1, 4, -2, 0, 0, 1, -2, 0, 1, -1, 0, 1, 0, 0, -1, -1, 2, -2, 0, 0, -1, -1, 3, -2, 6, 0, 1, -1, 2, -1, 0, 0, 0, 0, -1, -1, 0, 2, 1, -2, 1, -2, 1, 0, 1, 0, 0, 4, 0, 0, 0, -1, 0, 1, -1, 1, 0, 1, 0, -1, 1, -1, 1, -1, 0, 0, -1, 0, 1, 0, 4, -1, 1, -1, 0, 0, -1, 0, 1, -1, 1, 1, 0, -1, 0, -1, 0, 0, -1, 1, -1, 0, -1, 4, 0, 0, 2, 1, -1, 2, 0, 1, -1, -1, 1, 0, -1, 0, -2, 0, 0, -2, 2, 0, 1, 0, 4, 0, 0, 0, -1, 0, 0, -1, 1, 1, -2, 1, -2, 1, 0, -1, 0, 0, -1, -1, -1, 0, 0, 4, -1, -1, -1, -1, 0, 0, 0, -1, 2, -1, 1, -2, 0, 0, -1, 1, 0, 0, 0, 2, 0, -1, 4, 1, -1, 2, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 0, -1, 0, 1, 0, 1, 0, -1, 1, 4, -1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, -1, -1, -1, -1, -1, -1, -1, 4, 0, 0, 0, 0, 1, 2, -2, 2, -2, 0, -1, 0, 1, 0, 1, 0, 2, 0, -1, 2, 1, 0, 4, 0, 1, 0, 0, -1, 1, -1, 0, -1, 1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 4, -1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, -1, 1, -1, 0, 1, 1, 0, 1, -1, 4, 0, -1, -1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 1, 0, 4, 0, 1, 0, 0, 1, -2, 1, 1, -1, 2, -1, 1, -1, 1, -1, -1, 1, 1, 0, 1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, -2, 0, 1, -2, -1, -2, 0, -2, -1, 0, 0, 0, 0, 2, 0, -1, 0, -1, -2, 0, 4, -1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, -1, -2, 0, 0, 1, 0, -2, -1, 1, -1, 4, -2, -1, 1, 0, 1, -2, 1, -2, -2, -1, 0, 0, 2, -1, 0, -1, 1, 1, 1, -2, 2, -2, 6, 1, -2, 2, 0, 0, -1, 4, 2, -1, -1, -2, -3, 0, -1, 0, -2, -2, 2, 0, 0, -1, 1, 4, 0, 0, 1, -1, -2, 1, 0, 0, 1, 1, 1, 0, 1, -1, -2, 1, -1, 1, 0, 1, -2, 0, 4, -1, 1, 1, -1, 0, 0, 0, -1, 1, 0, 1, -1, -1, 0, 0, 0, -2, 1, 0, 2, 0, -1, 4, 2, -1, 0, 1, 0, 1, 0, -1, 0, -2, 0, 1, 0, -1, 2, -1, 1, 1, 0, 1, 1, 2, 4, -1, -1, 0, 0, 1, 1, 1, 1, -2, 1, 0, 0, 0, 1, -2, 0, -2, 0, -1, 1, -1, -1, 6, -1, 2, 2, 0, 0, 0, -2, 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, -2, -1, 0, -1, -1, 4, -1, 0, 0, -1, 0, 0, -1, 0, 2, 2, 0, 0, -2, 2, -2, 4, 1, 0, 1, 0, 2, -1, 6, 2, -1, -1, -1, -3, 0, 0, 0, -2, 0, 2, -1, 2, -2, 2, 0, 0, 0, 0, 2, 0, 2, 4, 1, -1, -1, -3, 1, 0, 1, -1, -2, -1, 0, 1, -1, -1, 0, 0, 1, 1, 0, 0, -1, 1, 4, 0, 1, 0, 0, 0, 2, 1, -1, -1, 0, 0, 0, -1, 1, -1, 0, 1, 0, -1, -1, -1, 0, 4, 0, 2, -1, 2, -1, 0, 2, -1, 0, -1, 0, -2, 1, 1, -1, 1, 0, 0, -1, -1, 1, 0, 4, 1, -1, 0, 1, 1, 1, 0, 0, -2, 2, -3, 1, 0, 0, 1, -2, 0, -3, -3, 0, 2, 1, 6, -1, 1, -1, 1, 3, 0, 2, 0, -1, 0, 0, 1, -2, -2, 1, -1, 0, 1, 0, -1, -1, -1, 4, -1, -1, -1, -1, -1, 0, 0, 0, -1, 1, -1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, -1, 4, 0, 0, 2, -1, -1, 1, -1, 0, -1, -1, 1, 0, 0, 2, 0, 1, 2, -1, 1, -1, -1, 0, 4, 1, -1, 0, 0, 0, 1, -2, -2, 0, 0, 0, 0, 2, -2, -1, 1, 0, 1, 1, -1, 0, 1, 4, 1, 0, -1, -2, 1, -2, 1, 0, -1, 0, 1, 0, 0, -2, -1, 2, 1, 3, -1, 2, -1, 1, 6, 0, -2, -1, 1, 2, -1, 0, 2, 1, 0, 0, 2, -1, -1, -1, 0, 0, -1, -1, 0, 0, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, 0, 0, -2, 1, 1, -2, 0, 1, -2, 1, 1, 0, -1, -1, 0, 0, 2, 1, 1, -2, 4, -2, 0, -1, 1, 1, -1, 1, -1, 0, 0, -1, -1, 1, 1, 1, 0, -1, -2, 1, 0, 2, -2, 4, -1, 1, -1, -1, 0, -1, 0, 1, 0, 0, 2, -1, 0, -2, -1, 0, 2, -1, 1, 0, 0, -1, 4, 0, -1, 0, -1, 1, 1, 1, -1, 0, -1, -1, -2, 1, 1, 0, 0, 2, 1, 0, -1, 1, 0, 4, -1, -2, 1, -1, 0, 1, 1, 1, 1, 0, 1, -2, 0, 1, 1, 1, 0, -2, 1, -1, -1, -1, 4, -1, 0, 2, 1, 0, 2, -1, -1, -1, 1, 2, 1, -1, -2, -2, -2, 1, 1, -1, 0, -2, -1, 4, -1, -1, -1, 0, -1, 0, 0, 1, -1, 0, -1, -1, 0, 0, 0, 1, -1, 0, -1, 1, 0, -1, 4, -1, 1, 0, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -2, 1, -1, 1, -1, 2, -1, -1, 4, 0, 0, 0, -1, -1, -1, -1, 2, 0, -1, -2, 0, 0, 0, -1, 0, 1, 0, 1, -1, 1, 0, 4, 1, 0, -1, -1, -2, 0, 1, 2, 1, 0, -1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 4, -1, -1, 1, -2, -1, 0, 0, 0, 0, 1, 0, -2, 0, 0, -1, 1, 2, -1, -1, 0, 0, -1, 6, -1, 0, 0, 1, -1, 1, -1, 0, -1, -2, 1, -1, 0, 0, 1, -1, 0, 1, -1, -1, -1, -1, 4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, -1, 2, -1, 1, -1, 0, 1, -1, -1, 1, 0, 1, 4, 0, 0, -1, -2, 0, 1, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, -1, -2, -2, 0, 1, 0, 4, 1, -1, -1, -1, 0, 1, 0, -1, 1, 0, -2, 1, 1, -1, 1, -1, 0, -1, 1, 0, 0, 1, 4, 0, 0, 0, 0, -1, 0, -1, 1, -2, 1, -2, 2, 0, 0, 2, 1, 0, -1, 0, -1, -1, 0, 4, 1, 0, -2, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 0, 2, 0, 1, 0, -2, -1, 0, 1, 4, 1, 0, 1, 0, 0, -1, 0, 0, 1, -1, -1, 0, -1, 1, 0, -1, 1, 0, -1, 0, 0, 1, 4, 0, 0, 1, 2, -2, 2, 0, 1, -2, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 4, 1, 1, 1, 1, -1, 2, 1, -2, 0, 0, 0, -1, 1, -1, 0, 0, 1, -1, 0, 1, 0, 1, 6, 1, 1, 0, 1, 1, 0, -2, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -1, 1, -1, 2, 0, 1, 1, 0, -1, -1, 1, 0, -1, 0, -1, 1, 2, 0, 1, -2, 4, -2, 1, -2, -1, -2, 1, -2, -1, 0, 0, 1, -1, 1, 1, 1, 0, -2, -2, -1, 0, 2, -2, 4, -1, 1, 1, 0, -1, 2, 0, 0, -1, -1, 0, -1, 0, 1, -1, 1, 2, 0, 1, -1, 1, -1, 4, -2, -1, -2, -1, 1, -1, 0, 0, 2, -2, -1, -1, 1, 1, -2, 0, 1, 1, 1, -2, 1, -2, 4, 1, 2, 1, 0, 0, -1, 0, 0, 1, 0, 0, -2, -1, 1, 0, 1, 0, -1, -1, 1, -1, 1, 4, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0, -1, 0, 2, -2, 0, -2, 2, 1, 6, 2, 1, 1, -1, -1, 0, 2, 1, 0, -2, 0, 1, 1, -1, 0, 0, 1, -1, -1, 1, 0, 2, 4, 0, -1, 0, -1, 1, 1, 2, 0, -1, 0, 0, -1, 0, 0, 1, -2, 2, 1, 0, 1, 1, 0, 6, 1, 1, -2, 1, 1, -2, 0, 0, 2, 1, 2, 0, 2, 1, -1, 0, -1, 0, 0, 1, -1, 1, 4, 0, -1, -1, 1, -1, 0, 0, 1, 2, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 4, -1, -1, 1, 1, -1, 1, 2, 1, 0, 0, 1, -1, 0, -1, 0, 0, 0, -1, -1, -2, -1, -1, 4, -1, -1, 0, 0, 0, -1, 0, 0, 1, -1, -1, 1, -1, 2, 0, -1, 0, 1, 1, -1, -1, -1, 4, -1, -1, 1, -1, 0, -2, 0, 1, 1, 1, -1, 0, -2, 1, 0, 2, 1, 1, 1, 1, -1, -1, 4, 0, 1, -1, 0, 1, 0, -1, -1, 0, 1, -1, -1, 0, 0, 1, 2, -2, -1, 1, 0, -1, 0, 4, -1, 0, 0, 0, -1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, -1, 4, 0, -1, -1, 0, -1, 0, 0, 1, 1, 1, -2, -1, -2, -1, 0, 0, 1, 0, -1, -1, 0, 0, 4, 0, 0, 0, 0, 1, -1, 0, -1, 1, -1, 1, 0, 0, 2, 1, 2, -1, 0, 0, 0, -1, 0, 4, 1, 0, 0, 1, 1, -2, 1, -2, 1, 1, 1, 0, 1, 2, 1, 0, -2, 1, 0, -1, 0, 1, 4, 0, 0, 0, 2, -2, 2, 0, 0, 0, 1, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 4, 1, 1, 0, -1, 0, 1, 1, -1, -1, 0, 0, -1, 0, 1, 1, -1, 0, -1, 0, 0, 0, 1, 4, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, -1, 1, -1, 0, 0, 1, 1, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 0, 2, 2, 0, 1, 1, 0, -2, -1, -2, 2, 1, -1, 1, -1, 1, -2, -2, -2, 1, 1, 4, 0, -1, -1, 0, 1, 2, -1, 0, 0, -1, 1, -1, 0, -1, -2, 2, -1, 1, 0, 0, 0, 0, 4, 0, -2, 0, 1, 1, 1, 0, 0, 1, 1, 2, -1, 1, 0, -1, 1, 2, 0, 2, 2, -1, 0, 6, 2, 1, -1, 1, 2, 0, 0, 0, 1, 1, -1, 1, -1, -2, -1, -2, -2, 1, 2, -1, -2, 2, 6, 1, -1, -1, 1, 0, -2, 0, 0, 0, 1, 2, -1, 0, -2, -4, -2, 0, 0, 0, 0, 1, 1, 4, -1, 0, -1, 0, -2, 1, 0, 0, -1, 0, 0, 0, -1, 1, -2, 1, 1, 1, 1, -1, -1, -1, 4, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, -1, 1, 1, 2, 1, 1, -1, 0, 0, 4, 1, -1, 0, -1, 0, 0, -1, 0, -2, 0, 0, 1, 1, 1, 0, -1, 1, 2, 1, -1, 0, 1, 4, 0, 1, 1, 0, 1, 1, 2, -1, -2, 1, -1, 0, 1, -2, 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 2, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, -1, 0, 0, 0, -2, -2, 1, 0, 1, 0, 4, 0, 0, -1, 0, -1, 1, 0, 2, 0, 1, -1, -2, -1, 1, 0, 0, 1, 0, -1, 1, 2, 0, 4, 0, 0, 0, 0, 1, -1, 1, 0, -1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -1, 2, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 4, -1, 2, 0, -1, -1, 0, 0, 2, -1, 0, -1, -1, 1, -1, 0, -1, 1, 1, 0, 0, 0, -1, 4, 0, -1, -1, 1, 0, 0, 0, 1, -1, 1, 1, 2, 0, 0, 0, 2, 0, -1, 0, 0, 2, 0, 4, 0, -1, -1, -1, 0, 2, -1, -2, 0, -1, -1, 0, 1, -2, -1, 0, 1, 1, 0, 0, -1, 0, 4, 0, 1, 0, 0, 0, 1, 2, -1, -2, 0, 0, 1, 0, -2, -1, 0, -1, 0, -1, -1, -1, 0, 4, -1, 0, 0, -1, -2, -1, 1, -1, -2, -1, 0, 0, 1, 0, 2, 1, 0, -1, 1, -1, 1, -1, 4, 1, 1, 0, -2, 1, 2, -2, -4, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 6, 2, 1, -2, 0, 0, -2, -2, -2, -1, 1, 0, 1, 1, -1, -2, 0, 0, 0, 0, 0, 1, 2, 6, -1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, -1, 0, 1, 2, 0, 2, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 1, 0, 1, -2, -1, -1, 0, 1, 1, -1, -1, 1, 2, 1, 0, -1, 0, -1, 0, 2, 6, -3, 3, 0, 2, -1, 1, -3, 0, 0, 3, -1, -3, -1, 2, 2, -1, -1, 0, -2, 2, -2, -3, 6, -3, 2, -2, 1, -1, 2, -1, 1, 0, 2, 1, 1, -1, -2, -1, 1, -2, 2, -2, 1, 3, -3, 6, -1, 1, 1, 2, -1, -1, 1, 0, -1, -2, -2, -1, 1, -1, 1, 1, -1, 1, 0, 0, 2, -1, 4, -1, 0, 0, 0, 1, 0, 2, 0, -1, 1, 0, 1, 0, 0, -2, 1, -2, 1, 2, -2, 1, -1, 4, -1, 1, 0, 1, -1, 1, -1, -1, -1, 2, 1, 1, -2, 0, -1, 1, -2, -1, 1, 1, 0, -1, 4, 2, 0, 0, 0, -2, 0, 0, -2, -2, -1, 0, 2, 0, 0, 0, -1, 1, -1, 2, 0, 1, 2, 4, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, -1, -3, 2, -1, 0, 0, 0, 0, 4, -1, 1, -2, 0, 2, 1, -1, -1, 1, 1, 0, 1, -1, 0, 0, -1, -1, 1, 1, 0, 0, -1, 4, -1, 1, 0, -1, 0, 0, 0, 2, -1, 0, 0, -1, 1, 0, 1, 1, 0, -1, 0, 0, 1, -1, 4, -1, 1, 0, 1, -1, -1, 0, 1, 0, 1, -1, 1, 3, 0, 0, 2, 1, -2, -1, -2, 1, -1, 6, -1, -2, 1, 2, 2, -1, -2, -2, -1, 0, -1, -1, 2, -1, 0, -1, 0, 0, 0, 0, 1, -1, 4, 0, 0, -1, -1, -1, 0, 0, 2, -1, -1, -3, 1, -2, -1, -1, 0, 0, 2, -1, 0, -2, 0, 4, 1, -1, -1, 1, 1, 1, 0, 0, 1, -1, 1, -2, 1, -1, -2, -1, 1, 0, 1, 1, 0, 1, 4, 0, 0, 0, 0, -1, 1, -1, 2, 2, -1, -1, 0, 2, -2, -1, -1, 0, -1, 2, -1, -1, 0, 4, 1, 0, -2, -1, -1, 1, 1, 2, -2, 1, 1, 1, -1, 1, -1, 0, -1, 2, -1, -1, 0, 1, 4, 0, -1, -1, -1, 0, 0, -1, -1, -1, 0, 1, 0, 0, 1, 2, 0, -1, -1, 1, 0, 0, 0, 4, 0, 1, 0, 0, -1, -1, 1, 1, 0, -2, 2, 1, 1, -1, 1, -2, 0, 1, 0, -2, -1, 0, 4, 0, 0, 0, 0, 0, -2, 1, -2, 0, 0, 0, 0, 0, 0, -2, 0, 1, -1, -1, -1, 1, 0, 4, 0, 1, -1, -2, 2, -1, 1, -1, 0, 0, 1, 0, 1, -1, 2, 0, 1, -1, -1, 0, 0, 0, 4, -2, 0, 2, -2, 1, -2, 1, 0, 0, -1, -1, -1, 0, -1, 0, -1, 1, 0, 0, 0, 1, -2, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, -2, 0, -1, -2, 0, -1, 0, 0, -1, 1, 1, -1, -2, 1, 2, 2, -2, -2, -1, 0, 2, 4, -2, -1, -1, -2, 1, -1, -1, -1, -1, 2, 0, -1, 0, 0, 2, 2, -2, -2, 0, 0, -2, -2, 4, 1, 2, 2, -1, 1, 0, 0, 1, -2, -1, 1, 2, -1, -2, -2, 2, 2, 0, 1, 0, -1, 1, 4, 2, 2, 1, 1, 1, 0, 1, -1, 1, 2, -1, 1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, 4, 1, 1, 2, 0, 0, 2, -1, 1, 2, 1, 1, -1, -1, 1, 1, 0, 2, -2, -2, 2, 2, 1, 4, 0, 1, 1, 0, 1, -2, -1, 2, 0, -1, -2, -2, 1, 3, 0, 1, 0, 1, -1, 1, 1, 0, 4, 1, 0, -1, 0, 1, 0, 0, -1, 1, 1, 0, -1, 0, 1, 1, -1, -1, 1, 1, 2, 1, 1, 4, -1, 1, 2, 0, 1, 1, -1, 0, 0, -2, 1, 0, 0, 2, 0, -1, 0, 1, 0, 1, 0, -1, 4, -1, -1, -1, 0, 1, 0, 0, -2, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, 1, -1, 4, 0, -1, 1, 0, -2, -1, 1, 0, 1, -1, -1, 0, -1, -1, 1, 1, 2, 1, 0, 2, -1, 0, 4, -1, 1, 2, 0, 1, -1, -2, 1, 2, 0, 2, 1, 2, -2, -1, -1, -2, 1, 0, -1, -1, -1, 4, 1, -2, 0, 1, 2, 1, -1, -2, 0, -1, 1, 0, -1, 1, 1, -1, 0, 1, 0, 1, 1, 1, 4, 0, -2, 2, 1, 0, 0, -1, -2, 1, -1, -1, 1, 2, 2, 2, 0, 1, 1, 0, 2, -2, 0, 4, 0, 0, -2, -1, 0, 2, 0, 2, -2, 0, 2, -1, 1, 0, -1, -1, 0, -2, 0, 0, -2, 0, 6, 0, -2, 0, 1, 0, 2, -1, 1, 0, -1, 1, 1, -1, 1, 0, 0, -1, 1, 1, 2, 0, 0, 4, 1, 0, -1, 0, 0, 1, 2, 2, -2, -1, -1, -2, 1, 0, -2, 1, -1, 2, 1, -2, -2, 1, 4, 1, -1, -2, 0, 0, 2, 2, -2, -1, -1, -2, 0, -2, 1, 0, -2, 1, 0, -1, 0, 0, 1, 4, -1, -2, 0, -1, -2, -2, 2, -1, 1, 1, -1, 1, 0, 1, 1, -1, 0, 0, 1, -1, -1, -1, 4, 0, 0, 0, -2, -2, 2, 2, 1, 3, 0, 0, 0, -1, 2, -2, -1, 2, 0, 0, -2, -2, 0, 6, 1, 1, -1, 0, 0, -1, 0, 0, 1, 0, -1, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 1, 4, -1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, -1, 1, 2, -1, 1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 1, 1, 2, -2, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -1, 1, 0, 1, -1, 0, 4, -2, 0, 0, 0, -1, 0, -1, 2, -2, 0, 1, 0, -2, -1, -2, 1, 0, -2, -1, -1, 1, -2, 4, 1, -1, 0, -1, 0, 1, -1, 0, -1, 0, 1, 1, -1, 1, -1, 1, 1, 2, 0, 1, 0, 1, 4, -1, 0, -2, 1, 1, -1, 0, -2, -1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, -1, -1, 4, 1, -1, 1, -1, 1, 0, 2, -1, -1, -1, -1, 0, -1, 1, -1, 1, 1, 2, 0, 0, 0, 1, 4, -2, 0, 1, 2, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, -1, 0, -2, -1, -1, -2, -1, -2, 6, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 4, 1, -1, -1, 1, -2, -1, -1, 1, 0, -1, 0, -1, -1, 1, 0, -1, 1, 1, -1, 1, 0, 1, 4, -1, 1, -1, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 2, -1, -1, 1, 2, 0, -1, -1, 6, 0, -1, 1, 0, -2, -2, -3, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, -1, 1, 0, 4, 0, -1, 0, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0, -1, -2, 2, 0, 0, 1, -1, -1, 0, 4, -1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, -1, -1, 0, 1, -2, 0, 1, -1, -1, 4, 1, 0, -1, 0, 0, 0, 0, 1, -1, 2, 0, 1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 1, 4, 1, -1, 0, 0, 1, 1, 0, -1, 0, -2, 1, 0, -1, -1, 2, -1, 1, -2, 2, 0, 0, 1, 4, 0, 1, -1, 1, 1, 1, 0, -1, -1, -1, 1, -1, -1, 1, 1, 0, -2, 0, 0, -1, -1, 0, 4, 1, 1, -1, 0, -1, 1, 0, -2, 1, 0, 0, -1, 0, 0, 0, -3, 0, 1, 0, 0, 1, 1, 4, 0, 0, 0, 1, 0, -1, 1, -1, 1, -1, 0, -1, -1, -1, 0, -1, -1, 0, 0, -1, 1, 0, 4, 0, 0, -1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 4, -1, 1, 1, 0, -2, 1, 0, -1, 0, 1, -1, 1, 0, 2, -1, 0, 1, 1, 0, 0, 0, -1, 4, 1, 0, 1, -1, 2, 0, 1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 1, -1, 1, -1, 1, 1, 6, 0, -1, -1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 1, 1, 0, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -1, -2, -2, -1, -1, -1, 1, -2, 2, 1, -1, -2, -1, -2, -2, 1, -2, 0, 1, 1, 4, 0, -2, 0, 1, -2, -2, 1, 1, 0, -1, 1, 1, 1, 0, 1, -1, 2, -2, 1, 0, 2, 0, 4, 1, -2, -2, 1, 0, 0, -1, -1, 1, 0, -2, 0, 0, -1, 0, 0, -1, -1, 1, -1, -2, 1, 4, 0, 0, 1, 1, 1, -2, 1, 1, 0, -2, 0, 0, 1, 1, -1, 2, 0, 0, -2, 0, -2, 0, 4, 1, -1, 0, 0, 0, 0, -2, -1, 2, 0, 0, 1, 0, 0, 0, 0, 0, -2, 1, -2, 0, 1, 4, -1, -1, 2, 0, 2, -2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, -1, -2, 1, 1, -1, -1, 4, 2, -1, -1, 0, 1, 0, 0, 1, 0, -1, 2, -1, 2, 0, -1, -1, -2, 0, 1, 0, -1, 2, 4, -1, -1, 0, 1, 0, -1, -1, 1, 1, 2, -2, 1, -1, -1, -1, 1, 0, 1, 0, 2, -1, -1, 4, -1, 1, -2, 0, -1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, -1, -2, 0, 0, -1, -1, -1, 4, 0, -1, 0, 2, 0, 0, -1, -1, 0, 0, 1, 1, -2, 0, -1, 1, 0, 2, 0, 0, 1, 0, 4, 0, 1, 0, 2, 1, 1, 1, -1, 1, 1, 0, 2, -1, 1, 1, -2, -2, 1, 1, -2, -1, 0, 6, 1, -2, -1, 0, -2, 0, 0, 0, 1, 0, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 1, 4, -1, 0, 0, -1, -1, 0, -1, 1, -1, -1, 1, -2, -2, 2, 0, 0, -1, -1, 2, 0, -2, -1, 6, 2, 0, 1, 1, 0, 0, 1, -1, -2, 1, 0, 0, 0, 1, 1, -1, 1, 0, 2, -1, 0, 2, 6, 2, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 4, 1, 1, -2, -1, -1, 1, -2, 1, -1, 1, 1, 1, -1, 1, 2, -1, 1, -2, -1, 1, 0, 1, 6, 2, 0, 1, 0, -1, -2, -1, 0, 1, 0, 0, 2, 2, 0, -1, 1, 0, -1, 1, 1, 1, 2, 4, -1, 2, 0, -1, 1, 2, 0, -1, 0, 0, -1, -2, 0, 0, -1, 0, 0, 0, -1, -2, 0, -1, 4, -1, 1, 0, -2, -2, -1, 2, 0, 0, 2, 1, 1, 0, 1, 0, -1, 0, 0, -1, 1, 2, -1, 6, 2, -1, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 1, 1, 1, 1, 1, -1, 0, 0, 1, 2, 4, -1, 1, 0, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, -1, -1, 0, 1, -1, -1, 0, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, 0, -1, 0, -1, -1, -2, 1, 0, 0, -1, 2, 2, 1, -2, 0, -1, -2, -1, 2, -2, 4, 2, 1, 1, 1, -1, 0, 1, -1, 0, 0, 1, -2, -1, 1, 1, -1, 2, 2, 1, -2, -2, 2, 4, 1, 2, 1, 0, 0, 1, -2, 1, 0, 1, -2, -1, 1, 0, -1, 2, 2, 1, 0, 0, 1, 1, 4, 2, -1, -2, -1, -1, -1, 2, 0, 2, -2, 1, 2, -1, 1, 1, 2, -1, 1, -1, 1, 2, 2, 4, -1, 0, 0, -1, -1, 2, 0, 2, -1, 1, 2, 0, 1, 1, 1, -1, 0, 0, 1, 1, -1, -1, 4, 1, 1, 0, -1, -1, 1, 0, 0, -2, 0, 0, -2, 1, 0, 1, 1, -1, -1, 0, -2, 0, 1, 6, 3, 2, 0, 0, 2, 0, 1, -3, -2, 0, 0, -2, 1, 0, 1, -1, 0, 0, -1, 0, 1, 3, 4, 2, 1, -1, 2, 1, 0, -3, 0, 1, 0, -1, 1, -1, 1, -2, 1, 1, -1, -1, 0, 2, 2, 6, -1, -2, 0, 0, -1, -3, 0, 1, 0, 0, 1, 0, 0, 1, -1, -2, -1, -1, -1, 0, 1, -1, 4, -1, 1, -1, 1, 1, 0, 1, 0, -1, -1, 0, -1, 0, 0, 1, 2, 2, -1, 0, -1, -2, -1, 4, 0, 1, -1, 1, 0, -1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 4, 1, 0, -1, 1, 1, 0, 0, 2, 0, 0, -1, 1, 1, 2, 2, 0, 0, 1, 0, -1, 1, 1, 4, -2, 0, 1, 0, 0, 0, 2, -1, 1, 2, -2, -2, -2, -1, 0, 1, 0, -1, 1, -1, 0, -2, 4, 1, 0, 0, 1, -1, -3, 0, 0, 2, -1, -1, 1, 1, -2, -3, -3, -3, 1, 1, -1, 0, 1, 6, 1, 0, 0, 0, -2, 0, -1, 1, 1, 1, 2, 2, 0, -2, 0, 0, 0, 0, 1, 1, 0, 1, 6, 1, 1, 2, 0, -1, 1, -2, 1, 0, -1, 0, 0, 0, 1, 1, 1, -1, 1, 0, 0, 0, 1, 4, 0, 1, 0, 1, -2, 0, -1, -1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 4, 0, 0, -1, 0, -1, 2, 2, 1, 1, 1, -2, -1, 0, -1, 0, 0, 0, -1, 0, 2, 1, 0, 4, 0, 1, -1, -2, 2, 2, 2, 1, 0, 1, 1, 1, -1, 2, 2, 2, -3, -2, 0, 0, 0, 0, 6, 1, 0, -1, 1, 1, -1, -1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, -1, 1, -1, 1, 1, 4, -2, 2, -2, 0, 1, 0, 1, 1, 1, 0, -1, 1, 0, 1, 0, -1, 1, -2, 0, -1, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -2, -1, -1, -1, 0, -1, 0, 1, -1, 0, -2, 1, -1, 1, 2, 2, -2, 0, -1, 0, -2, 4, 2, 1, 2, -1, 0, 0, -1, 0, 0, 0, 1, 1, 1, -1, -1, -2, 1, 0, 1, 1, -2, 2, 4, 2, 1, 0, -1, 1, -1, 1, 0, -1, 2, 1, 1, -2, -2, -2, 2, 0, 1, 1, -1, 1, 2, 4, 2, 0, 1, -1, 1, 2, 0, -2, 1, 2, 2, -1, -1, -1, 1, 0, -1, 2, -1, 2, 1, 2, 4, -1, 1, -1, 1, 1, 0, -1, 0, 2, 1, 0, -1, -2, 1, 1, 0, 2, -1, -1, 0, 0, -1, 4, -1, 0, 0, 0, 1, 1, 0, -2, 1, 1, 0, 1, 0, 1, -1, 0, 0, 0, -1, 1, 1, -1, 4, -2, 2, -1, 1, -1, 0, 2, 0, 1, 1, 0, -1, 0, -1, 1, -1, 0, 1, -1, -1, 0, -2, 4, -2, 0, 0, 0, 1, -1, 0, -2, -2, -1, 1, 0, 1, -1, 0, -1, -1, 1, 1, 0, 2, -2, 4, -1, 0, -1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, -1, 0, -1, 6, -2, -2, 0, 0, 2, 0, -1, -1, -1, 0, -1, 2, -1, 0, 0, 0, 0, 1, 1, 0, 0, -2, 4, 0, 0, 1, 1, 0, 1, 0, 1, -1, -1, 0, 0, 0, -1, -2, -1, 1, -1, 0, -1, -2, 0, 4, 0, -1, -2, 0, 1, 1, 0, 0, 1, -2, -2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 4, 1, 0, -2, -1, -1, 2, -1, 1, 0, 1, 1, 1, 2, 2, -2, 2, -1, 1, 0, 1, -1, 1, 6, 0, -1, 1, -1, 1, 0, 0, 2, -1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, -2, 0, 0, 4, 0, -1, -1, 0, 0, -1, 2, 1, -1, -2, -1, 0, 1, 1, -2, 1, 0, 0, 0, -2, -1, 0, 4, 2, 1, -2, 1, -1, 1, 2, -1, -2, -1, -1, 0, 1, -2, 0, -1, 1, 1, -1, 1, -1, 2, 4, 2, -1, -1, -1, 0, 2, -2, -2, -1, -2, 1, 0, -1, 0, -1, 0, 1, -1, -1, -1, 1, 2, 4, -1, 0, -1, -1, -2, 1, 2, 1, 1, 0, -1, 1, 0, -1, 1, 0, 2, 1, 0, -2, -1, -1, 4, -1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, 4, 1, 1, -1, 1, 1, -1, 0, -1, -1, 1, 0, -1, -1, 1, 1, 0, -1, -1, -1, -1, 1, 1, 4, -1, 0, 1, 1, 2, 2, 0, 1, -1, 1, 2, 0, -2, 0, 2, 2, 1, 0, -1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 0, 2, -1, 2, -1, -1, 0, -2, 1, 2, 1, -1, 0, 0, -1, -2, 1, 0, 0, 0, -1, 4, -1, 0, -1, -1, -1, -1, 0, -1, 1, -2, -1, 1, -1, 1, -1, 0, -1, 1, -1, 1, 0, -1, 4, 0, -1, -1, -1, 1, -1, 1, -1, 0, 2, 1, 1, 1, -1, 0, 2, -2, 0, 1, 2, 0, 0, 4, -2, 2, -1, -2, 1, -2, 0, 1, 1, -1, 1, 1, -2, -2, 1, 0, -1, 0, -1, -1, -1, -2, 4, -1, 2, 2, 1, 2, 0, 0, 0, -1, 0, -2, 2, 1, -1, 0, 1, 0, 2, -1, -1, 2, -1, 4, -1, -1, 0, -1, 0, 2, 0, -2, 0, 1, -1, -2, 1, 0, -1, 0, -1, -1, -1, -1, 2, -1, 4, 0, 0, 2, 0, 0, 0, -1, 0, -2, 2, 2, -1, 0, 1, 0, -1, -1, 1, -2, 2, -1, 0, 4, 0, 2, -1, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 4, -1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 0, -1, 0, -2, -1, 1, -2, 2, -1, 2, 2, -1, 6, -1, -1, 1, 0, -1, 0, 2, 2, -1, 0, 1, 1, 1, 1, -1, 0, 0, 0, 0, -1, -1, -1, 4, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 2, -2, 0, 1, 0, 2, 0, 0, 0, -1, -1, 4, 1, -2, 0, -1, 0, -1, 1, -1, -1, -1, 1, -1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 4, -1, 1, 0, 0, -1, 2, -1, 0, 1, -1, 1, 1, -1, -1, -2, -1, 0, 0, 0, 0, -2, -1, 4, -1, 1, 0, 1, -1, 0, 1, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, -1, -1, 0, 1, -1, 4, -1, -1, -1, 2, 0, -1, 1, 0, 1, 1, 1, -2, 1, -2, -1, -1, 0, 0, -1, 0, 1, -1, 4, -1, -1, 0, 0, 0, 1, -1, -1, -1, -2, 2, -1, 2, 1, 1, 2, 0, 0, 0, 0, -1, -1, 4, 2, -1, 0, 1, 0, -2, 0, 0, -2, 1, -2, 2, 1, 0, 2, 0, -1, -1, 1, -1, -1, 2, 4, -1, 0, 1, 0, 1, -1, 2, 1, -1, 1, -1, 0, 0, -1, 0, 1, 2, -1, 2, 0, -1, -1, 4, -2, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -2, 4, 1, 0, 0, -1, 0, -1, 1, -1, 1, 0, -1, 1, 1, -1, 0, 1, -1, 0, 1, 1, -1, 1, 4, -1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 1, 0, 1, 1, 0, 0, 1, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, 2, -2, 0, 2, 1, 0, -1, -2, -2, -1, 1, 2, 0, 2, 2, 1, 1, -1, 0, 0, -2, 4, -2, 2, 1, -1, 0, -1, 0, 1, 1, 2, -1, -2, 0, 0, -1, -1, -1, 2, 1, 1, 2, -2, 4, -2, -1, 1, 0, 0, 0, -2, -1, -1, 1, 2, 1, 2, 1, 1, 0, -1, -1, 1, -2, 2, -2, 4, 1, -1, 0, 1, 1, 1, 0, 2, -1, -2, 1, -2, -2, -1, -1, 2, 0, 0, 0, 1, -1, 1, 4, 0, 2, 1, -1, 0, 0, 2, 1, 0, 0, -1, 0, 1, -1, 2, 0, 1, 2, -1, 1, -1, 0, 4, -1, 0, 1, -1, -1, 0, 2, 2, -1, 0, 1, 2, 0, 1, 0, -1, 1, 0, 0, 0, 2, -1, 4, 0, -2, -1, -1, 1, 0, 1, 1, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0, 1, 1, 0, 0, 4, 1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 0, 0, 1, -1, 1, -2, 1, 4, 1, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, -1, -1, -2, 1, -2, 1, 0, -1, -1, 0, 1, 4, 2, 0, 0, -1, 0, -2, 0, 0, 0, -1, -1, -1, -2, 1, -1, 0, 0, -1, -1, -1, 0, 2, 4, 1, 0, 0, 0, -2, -1, 0, -1, 0, 0, -1, -1, 2, -1, 2, 2, 0, 1, 0, 0, 0, 1, 4, 0, 0, 0, -2, -1, 1, -2, 3, 1, 1, 1, -1, 1, -1, 1, 2, 0, 1, 0, 0, 0, 0, 4, 3, 0, 0, 1, 2, -1, 1, 0, 0, 2, -2, 2, -2, 0, 2, 1, 1, -1, -1, 0, 0, 3, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 1, -1, 0, -1, -1, 0, 0, 2, 0, 2, -2, -1, 0, 0, 0, -1, -2, -2, -2, 0, 0, 1, 6, 2, -1, 1, -1, 1, 2, 2, -1, 1, -2, 0, 1, 0, -1, -1, 0, -1, -1, 1, 0, -1, 2, 4, 1, 1, -1, 0, 1, 1, -1, 1, -1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, -1, 1, 4, -1, 1, 0, 0, 1, -1, 0, -1, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, -1, 1, 1, -1, 4, -2, 0, 0, -1, 2, -1, 2, 2, 1, 0, 1, 0, -1, 0, 3, 1, 0, -1, -1, -1, 1, -2, 6, 2, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 4, 0, 0, 1, 1, 0, 1, -1, 1, 0, -1, -1, -1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 0, 1, 0, 0, -1, 0, 0, -1, 1, 1, 1, 0, -1, 2, -1, 1, -1, 2, 0, -1, 0, 0, 4, -1, 0, 0, 2, 0, 0, 2, -1, 0, 0, -1, 2, -1, -1, -1, 1, -1, 0, 0, 2, 1, -1, 4, -1, 1, 0, 0, 1, 0, 1, 1, 2, -1, 1, 0, 1, -1, 1, 2, 1, -1, 0, 0, 0, -1, 4, -2, 0, -1, -2, 0, -2, 1, 1, 1, 0, 0, 0, 1, 0, 0, -2, 0, 1, 0, 0, 1, -2, 4, 1, 1, 2, 0, 1, 1, 0, -2, 1, 0, -1, -1, -1, 1, 2, -1, 0, -1, 2, 0, 0, 1, 4, -1, 0, 2, 0, 1, 1, -1, 3, -1, -1, -2, 1, -1, 0, -1, 2, 0, 0, 0, -1, 1, -1, 4, 0, 0, -1, 0, -1, 1, 0, 0, -1, -1, 1, 1, 0, 1, 0, 0, 0, 1, -2, 2, 0, 0, 4, 1, 2, 1, 0, -2, 0, 0, 1, -1, -1, 1, 2, 0, 0, -1, 2, 0, 0, 0, 2, 0, 1, 4, -1, 1, 1, -1, 1, -1, 0, -2, 1, -1, 0, 1, 2, 1, -1, 1, -2, 1, 0, -1, 2, -1, 4, 0, 0, -1, 0, 1, 1, 0, -1, 1, 1, -1, -1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 4, 2, 0, 0, 1, 0, -1, 0, 2, 0, -1, 1, 1, 0, 2, 1, 0, 1, -1, 0, 1, 0, 2, 4, -1, 1, 1, 1, 0, 0, 1, -1, -1, 1, 0, -1, -1, 1, -2, -1, 1, -2, -1, -1, 0, -1, 4, -1, 1, 0, 0, 1, 0, -1, 0, 0, -1, 2, 1, 0, 1, 3, 0, 0, 1, 0, 0, 1, -1, 6, -2, 0, -1, 1, 0, 0, -2, 2, 2, -1, 0, 0, 0, -1, 0, 0, -1, 1, 1, 1, 1, -2, 4, 0, 1, -1, 1, -1, 0, -1, -1, -1, 1, 0, -1, -1, -1, 1, 0, 1, 0, 1, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, -1, -1, 1, -1, -2, -1, -1, -2, 0, -1, 0, 0, -1, 1, 1, 4, -2, 0, -1, 0, -1, -1, 1, 1, 0, -1, 1, 1, -1, 1, -1, 0, 0, 1, 1, -1, 0, -2, 4, 0, 0, 1, 1, 2, -1, 2, 0, 1, -1, 1, 1, -1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 4, 0, -1, 0, 0, 0, 1, -2, 2, 0, 0, 2, 0, 1, 0, -1, -1, 0, -1, 0, -1, 0, 0, 4, 0, 0, -1, 0, -1, 0, -1, -1, 1, 0, 1, -1, -1, -1, 0, -2, 0, 0, 0, 1, -1, 0, 4, -1, 0, 2, 0, 1, 0, 2, 0, 0, 2, -1, 1, 1, 0, 2, -1, 0, -1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, -2, 2, -1, -1, -1, 2, 1, -2, 0, 1, 1, 2, 0, 0, 2, -1, 0, -1, -1, 1, 1, 4, 0, 0, -1, 1, 1, 1, -1, 1, 1, -1, 1, 0, -1, -1, 1, 0, 1, -2, -2, 1, -2, 0, 4, -2, 0, 1, 0, -2, -1, 0, -1, 0, 0, -1, 0, 1, -1, 2, -1, 0, -1, 1, 2, 0, -2, 4, 1, -2, -1, 1, 2, 0, 0, 0, -1, 1, 1, 0, 0, -2, 1, 0, -1, 0, -1, -1, 0, 1, 4, -1, 0, 0, 0, 0, -1, 1, -1, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 1, 1, -2, -1, 4, 0, 0, 0, 1, 1, 0, 1, 0, -2, -1, -1, 0, 1, -1, 0, -1, -1, 1, 0, -1, 0, 0, 4, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 2, 1, -2, 1, 0, 0, 1, 4, 1, 0, 0, 1, 0, 2, 0, -2, 2, -2, 0, -1, -1, -1, 1, -1, -1, 2, 0, 0, -1, 1, 4, 0, 0, 1, 0, 2, 0, 0, 0, -2, 0, 1, -1, -1, -2, 1, 0, 0, 0, 1, 0, 0, 0, 6, 2, -2, 0, -1, -1, 0, -2, -1, 2, 0, 1, -1, 0, 1, -1, 0, -1, 1, 0, 0, 0, 2, 4, -2, 1, 0, -1, 0, 0, 0, 2, -1, 1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 1, -2, -2, 4, 1, 1, -1, -1, 1, 0, -1, 0, -1, -1, 1, 1, 0, -1, -1, 1, 0, 0, 0, 0, 1, 1, 4, 0, -1, 0, 1, 0, 1, 0, 0, 1, 2, 0, -1, 1, 0, 0, 0, 2, 2, -1, 0, 1, 0, 4, -1, 0, 1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 0, -2, 0, 0, 0, -1, -1, -1, -1, -1, 4, 0, 0, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, -1, -1, -2, 0, 0, 0, -1, 0, 0, 0, 4, 0, 1, -1, 1, 1, 2, 2, 1, -1, 0, -1, -1, 1, 2, 0, -2, 0, 1, 1, 1, 0, 0, 4, 0, -1, -1, -1, 1, -1, 0, 2, -2, 0, 0, 0, -2, -2, -1, 0, 0, 0, -1, -1, 1, 0, 4, -1, 0, 1, 1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 2, 2, -1, 1, -1, 0, -1, -1, -1, 4, -1, 0, 0, -1, -2, 0, 0, 1, -1, 0, -1, 1, 0, -1, 0, 0, 0, 1, 1, -1, 0, -1, 4, 2, 0, -1, -2, -1, -1, 1, 0, -1, -1, -1, 1, 1, -1, 0, 0, -1, 1, -1, 1, 0, 2, 6, -1, 1, 1, 1, 0, -1, -1, 0, -1, -1, -1, 0, -1, 1, 0, 1, 2, 1, 1, 0, 0, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -1, 2, 0, 0, 2, 0, -1, -2, -1, -1, 1, 2, 0, 2, 1, -1, -1, -1, 2, 0, 1, -1, 6, -3, 1, 2, 1, 1, -1, 1, 2, 2, 2, -1, 1, -1, -3, -2, 1, 1, 1, -2, 1, 2, -3, 6, -2, -1, 1, 1, -1, -2, -1, -1, -1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 0, 1, -2, 4, 0, 0, -1, -1, -1, 0, 0, 1, 0, -1, 1, -2, 0, 0, -1, 0, -1, 0, 0, 2, -1, 0, 4, 0, 1, 1, 0, 2, 2, 1, -1, 1, 0, 0, 0, 0, -1, 0, -2, 1, 2, 1, 1, 0, 0, 4, 1, -1, -1, 1, -1, 2, 1, 0, 2, -1, -2, -1, 1, 2, 0, 1, 0, 1, 1, -1, 1, 1, 4, 1, -1, 1, 0, -1, -1, 2, -1, -1, -1, 1, 0, 0, -1, 2, -1, -1, -1, -1, 1, -1, 1, 4, 0, 1, 1, -1, -2, 1, -2, 1, 0, -1, -1, -2, -1, 0, -2, 1, -2, -1, 0, -1, -1, 0, 4, 1, 1, 0, -1, -1, -2, 0, 1, 0, 1, 0, 1, -1, -1, 2, -1, 0, 2, 1, 1, 1, 1, 4, 2, 1, -1, 0, -1, -1, 0, 0, 0, 0, -1, 1, -1, 2, -1, 0, 2, -1, 0, 1, 1, 2, 4, 1, -1, 1, -1, 1, 0, 0, 0, 0, -1, 1, 1, 2, -1, 1, 1, 2, -1, -1, 0, 1, 1, 4, 0, -1, 2, 0, -1, -1, 1, 1, 0, 0, 2, -1, 2, 0, -1, 1, -1, -2, -1, -1, -1, 0, 4, -1, 1, 1, 0, -1, 0, 2, 1, 0, 0, 1, 1, -1, 1, 0, 2, 1, -1, 0, 1, -1, -1, 4, -1, 0, -1, 1, 0, 0, -1, 2, 2, -1, 2, 1, 0, 2, -1, -2, -2, -1, -1, 2, 1, -1, 6, 1, -1, -1, 0, 1, 0, -1, 1, -3, 3, -2, 0, -1, -1, 1, 0, -1, 1, 0, 1, 0, 1, 6, 2, -1, 0, 0, 1, 0, -1, -2, 1, 0, 0, -2, -1, 0, 1, 0, 0, -1, 0, -1, -1, 2, 4, 1, 0, -1, 1, 0, -1, 1, 1, 0, 0, -1, 1, -1, 0, 0, 0, -1, -1, 1, -1, -1, 1, 4, 1, 0, 0, 1, -1, 1, 1, -1, -1, 1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, -2, 0, 0, 0, 1, 2, 0, 1, 0, -1, 0, 0, 4, 1, 1, 0, -2, 1, -1, -2, 0, -1, -1, 1, -1, -1, 0, 1, -1, 0, 1, 1, 0, 1, 1, 4, -1, 1, 1, 1, 0, 1, 1, 2, 0, -1, 1, 1, 0, 0, 2, -1, 0, 0, 1, 0, 1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, -2, -1, 1, 2, -2, 2, -1, -1, 1, -1, 1, -2, 1, 1, 0, -1, -2, -2, 0, -1, 1, -2, 4, 0, -1, -2, 2, 0, -1, -1, 1, 0, -1, 0, -2, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 4, 1, -1, 0, -2, 1, 2, -2, -1, 1, -1, 0, 1, 0, -1, 1, 0, -1, -1, 1, 1, -1, 1, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, 0, -1, 1, 0, -1, 0, 2, -2, -1, 0, 4, -2, 1, -1, 0, 0, 0, 1, -1, 2, 1, 1, 1, 0, -2, -1, 0, 1, -2, 2, 0, 0, -2, 4, -1, 0, -1, 0, 0, 0, 2, -2, 0, -1, 0, 0, 1, 0, 0, 0, 2, 0, -2, 0, 1, -1, 4, -2, -2, 1, 0, -1, 0, 0, 1, -1, 0, -2, 0, 1, -1, 0, -1, -1, 1, 0, -1, 0, -2, 4, 2, -1, 0, 0, 1, 0, -2, 0, -1, 2, 2, 1, 0, 0, -1, -1, 2, 0, 0, -1, -2, 2, 4, -1, 0, 1, -1, 1, -1, 0, 0, 2, 1, -1, 1, 0, 1, 1, -2, 0, 0, 0, 1, -1, -1, 4, 1, -1, -1, -1, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 4, -2, 1, 0, -1, 1, 2, 0, 1, 0, 1, -2, 1, -1, 1, 0, 1, 0, -1, 0, 1, -1, -2, 4, -2, 1, 0, -1, -1, 1, -2, -1, 0, 1, -2, 0, -1, 0, -1, 2, 0, 1, -1, -1, 1, -2, 6, -1, -2, 1, 0, 0, 3, 2, 0, -1, 1, -2, 0, -1, 2, -2, 0, 0, 1, -1, 0, 1, -1, 4, 0, 0, 1, 0, -2, 0, 1, 0, 1, 1, 1, -1, 1, 0, 1, -2, -1, 0, -1, 0, -2, 0, 6, 0, -1, -1, -2, -1, -2, 1, 0, -1, 0, 1, 1, -1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 4, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 0, 0, 2, -1, 0, 1, -1, 1, 4, 0, 0, -1, 2, 0, -2, 0, 1, -1, 0, 0, -2, 2, 2, -1, 0, 1, 0, 0, -1, 0, 0, 4, 1, 0, 1, 0, -2, 0, 0, 1, -2, 1, 0, 2, 1, -1, 1, -2, 3, -2, -2, 0, 0, 1, 6, 1, 0, -1, 0, 0, -1, 0, -1, 0, 1, 1, -1, 0, 0, -1, 2, 0, -1, 0, -1, 0, 1, 4, 0, -1, -1, 0, -1, -1, 0, 0, -1, 0, 1, 0, 1, 0, 0, 1, -2, 0, 2, 1, 0, 0, 4, -1, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, -2, 1, -1, 0, 1, 0, 0, 0, -1, -1, -1, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 1, 2, -2, 1, 2, -1, -1, 1, 0, 1, -1, -2, -1, -1, 0, -1, 1, 1, 1, 0, 0, 1, 4, 2, 1, 2, 1, -2, 0, -1, 1, 1, -2, 0, 0, -1, -1, -2, 1, -1, 1, 1, 0, 2, 2, 4, -1, 2, 1, -1, -1, 0, 1, 0, -1, -1, -1, 0, -1, -2, 0, 0, 0, 1, 1, -2, 1, -1, 4, 0, 0, -1, 0, -1, 1, 0, -1, 2, 0, 0, -1, 0, 0, -1, 0, 1, -1, 1, 2, 2, 0, 4, 2, -1, 0, -1, 0, 1, -2, 0, 1, -1, -2, -2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 4, -2, 0, 1, 0, 2, -1, 0, -1, -2, -1, -1, 0, 0, 2, 0, -1, -1, -2, -1, -1, -1, -2, 4, -1, 0, -1, -2, 1, 0, 1, 1, 1, 1, -1, 1, -1, -1, 0, -1, 0, -1, 0, 0, 0, -1, 4, -1, -1, 1, 0, 1, 1, 1, -1, 0, 0, 0, -1, -1, 0, 1, -1, 0, -1, -1, 1, 0, -1, 4, -1, 0, 1, 0, -1, -1, 2, 1, -1, -1, 1, -1, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 4, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, -2, 1, 0, -1, 4, 0, -1, -1, -2, 0, 0, 1, -1, 1, 1, 0, -1, -2, -1, -1, -2, -1, 1, 0, 1, 0, 0, 4, -1, 0, 0, 2, 1, 0, 0, -1, 0, 0, -2, 0, -1, 2, 0, 0, 0, 1, 0, 0, -1, -1, 4, 0, 1, -1, 0, -1, -1, 0, 0, 0, -1, 0, -1, 0, 1, -1, 1, 1, -1, -1, -1, 0, 0, 4, 0, -1, -1, 0, 1, 0, -2, 0, -1, -1, 0, 0, -1, -2, 1, 1, -1, 0, -2, 0, 1, 0, 4, 0, 0, 0, 1, -2, 0, 0, 0, -1, -1, -1, -2, -1, 1, -1, 2, 0, 0, 2, -1, -1, 0, 4, 2, 0, -1, 0, 0, 0, -1, -2, -2, 0, -2, -1, 1, 0, 1, 0, 0, 1, 0, -1, 0, 2, 4, -1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0, -1, 0, 0, 0, -1, 4, 1, 1, 0, -1, 1, -1, 0, -1, 0, 0, 1, 0, -1, 0, -1, 0, -1, 1, 1, -1, 0, 1, 4, -1, -1, -1, 1, 1, 0, 0, 1, 2, -1, -1, 1, 0, 1, -1, 0, 0, -2, 0, -1, 1, -1, 4, 0, -1, 0, 1, 1, 1, 0, 0, -1, -1, -1, 1, 1, 0, 0, -2, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 4 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 22) ! \[ 4, 2, 1, 2, 2, 2, 0, 1, 0, 0, -2, -1, 0, 0, 0, 1, -1, -2, 2, 0, -1, -2, 2, 4, 2, 1, 2, 1, 0, -1, 0, 0, -2, -2, 0, -1, 0, 1, 0, -2, 2, 0, 0, -1, 1, 2, 4, -1, 1, -1, 0, -2, 0, 0, -1, -1, 0, -2, 0, -1, 0, -1, 1, 0, 0, -2, 2, 1, -1, 4, 1, 2, -1, 2, -1, 0, 0, 0, -1, 0, 0, 2, -1, -1, 1, -1, 0, -1, 2, 2, 1, 1, 4, 1, 1, -1, -1, 1, -2, -2, 0, 0, -1, 0, 1, -2, 1, 1, 0, 0, 2, 1, -1, 2, 1, 4, 1, 2, -1, -1, -1, 0, 1, 1, -1, 1, 0, -1, 2, 1, -1, 0, 0, 0, 0, -1, 1, 1, 4, -1, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2, 0, 2, 1, -1, -2, 2, -1, 2, -1, 6, -1, 0, -1, 0, -1, 0, 1, 2, -2, 1, 1, 0, -1, -2, 0, 0, 0, -1, -1, -1, -1, -1, 4, 1, 1, 0, -1, 0, 2, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 4, -1, -1, -1, 0, 1, 0, 1, 1, 0, 0, 0, 0, -2, -2, -1, 0, -2, -1, 0, -1, 1, -1, 6, 1, 0, 0, 0, 0, 0, 2, -1, -1, 2, 1, -1, -2, -1, 0, -2, 0, 0, 0, 0, -1, 1, 4, 1, 0, -1, -1, 0, 1, -1, -1, -1, 0, 0, 0, 0, -1, 0, 1, 2, -1, -1, -1, 0, 1, 4, 0, -1, -1, 1, -1, 1, 1, -1, 2, 0, -1, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, -1, 0, 1, 0, -1, 0, 0, 2, 0, 0, 0, 0, -1, -1, -2, 1, 2, 1, 0, -1, -1, -1, 4, 0, -1, 0, 1, 0, 0, -1, 1, 1, -1, 2, 0, 1, 0, 2, 0, 0, 0, -1, -1, 0, 0, 4, -1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 0, -2, 0, 1, 0, 0, 1, 1, -1, -1, 4, 0, 0, 0, 0, 2, -2, -2, -1, -1, -2, -1, 0, 1, 1, 1, 2, 1, -1, 0, 0, 0, 0, 4, -1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, -1, -1, 1, -1, 1, 0, 0, -1, 4, 0, -1, -1, 0, 0, 0, -1, 1, 1, 2, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 4, 1, 1, -1, 0, 0, 0, 0, -1, 0, -1, 1, 0, 2, -1, -1, 0, 0, 1, 0, 1, -1, 1, 4, 0, -2, -1, -2, -1, 0, 0, 2, -2, -1, 0, 1, 0, 2, 2, -1, 0, 2, 0, -1, 1, 0, 6 ]:CheckPositive:=false) ];