/* 1. Standard Lattice of rank 26 and degree 26 Determinant: 1594323 Factored Determinant: 3^13 Minimum: 6 Kissing Number: 21840 Inner Product Matrix: [ 6 0 0 1 2 3 2 -1 2 -2 2 1 2 0 -1 -2 0 2 -1 1 2 -2 -2 -1 -3 -2] [ 0 6 -1 0 -1 1 -2 2 -2 0 -1 2 3 2 1 3 3 3 2 1 2 1 -2 2 0 -2] [ 0 -1 6 -1 0 1 1 1 1 2 -1 0 -3 -3 -3 2 -3 -2 0 -3 -3 2 -1 -1 1 0] [ 1 0 -1 6 -1 1 2 0 3 1 0 -1 -2 -1 2 1 -2 0 -2 -2 -1 -3 2 -2 0 -2] [ 2 -1 0 -1 6 3 1 -1 -2 -1 0 2 -1 0 1 -3 -2 -2 -2 -1 0 1 -1 -2 -3 2] [ 3 1 1 1 3 6 0 1 0 -1 0 2 0 -1 -1 -1 -1 0 -2 -2 0 -1 -2 -1 -2 0] [ 2 -2 1 2 1 0 6 0 3 2 2 -2 -2 -2 -1 1 -2 -2 0 -1 0 -2 0 -2 -2 1] [-1 2 1 0 -1 1 0 6 -2 1 -2 -1 0 -1 0 4 1 2 2 1 0 1 -1 -1 -1 0] [ 2 -2 1 3 -2 0 3 -2 8 1 2 -1 -1 -2 -3 1 0 0 0 0 0 -2 0 0 0 -2] [-2 0 2 1 -1 -1 2 1 1 6 -2 0 -3 0 1 2 -1 -1 0 -1 -3 0 -1 1 1 0] [ 2 -1 -1 0 0 0 2 -2 2 -2 6 0 2 0 -1 -2 -1 -1 0 1 1 -2 1 -1 -2 0] [ 1 2 0 -1 2 2 -2 -1 -1 0 0 6 2 1 2 -2 1 2 -2 0 0 2 -3 0 -2 0] [ 2 3 -3 -2 -1 0 -2 0 -1 -3 2 2 8 2 -1 -1 4 4 2 5 4 0 -1 1 -1 -1] [ 0 2 -3 -1 0 -1 -2 -1 -2 0 0 1 2 6 2 -1 2 1 1 2 2 0 0 3 0 -2] [-1 1 -3 2 1 -1 -1 0 -3 1 -1 2 -1 2 8 -2 -1 2 -2 0 -1 0 0 -1 -2 -1] [-2 3 2 1 -3 -1 1 4 1 2 -2 -2 -1 -1 -2 8 1 1 4 -1 0 2 0 1 1 -1] [ 0 3 -3 -2 -2 -1 -2 1 0 -1 -1 1 4 2 -1 1 8 4 2 4 4 0 -3 4 0 0] [ 2 3 -2 0 -2 0 -2 2 0 -1 -1 2 4 1 2 1 4 8 1 4 2 0 -3 1 -2 -3] [-1 2 0 -2 -2 -2 0 2 0 0 0 -2 2 1 -2 4 2 1 6 2 2 2 0 2 0 -1] [ 1 1 -3 -2 -1 -2 -1 1 0 -1 1 0 5 2 0 -1 4 4 2 8 3 0 -1 1 -1 -1] [ 2 2 -3 -1 0 0 0 0 0 -3 1 0 4 2 -1 0 4 2 2 3 6 0 -1 1 -1 0] [-2 1 2 -3 1 -1 -2 1 -2 0 -2 2 0 0 0 2 0 0 2 0 0 6 -1 0 0 1] [-2 -2 -1 2 -1 -2 0 -1 0 -1 1 -3 -1 0 0 0 -3 -3 0 -1 -1 -1 6 -2 2 0] [-1 2 -1 -2 -2 -1 -2 -1 0 1 -1 0 1 3 -1 1 4 1 2 1 1 0 -2 6 2 -1] [-3 0 1 0 -3 -2 -2 -1 0 1 -2 -2 -1 0 -2 1 0 -2 0 -1 -1 0 2 2 6 0] [-2 -2 0 -2 2 0 1 0 -2 0 0 0 -1 -2 -1 -1 0 -3 -1 -1 0 1 0 -1 0 6] |Aut| = [ <2, 11>, <3, 10>, <5, 1>, <7, 1>, <13, 1> ] Modular = true LatDB = Beis13 2. Standard Lattice of rank 26 and degree 26 Determinant: 1594323 Factored Determinant: 3^13 Minimum: 6 Kissing Number: 21840 Inner Product Matrix: [ 6 0 -2 -3 -2 -1 0 3 3 -2 1 0 0 1 1 2 2 -2 0 1 0 -1 1 1 0 -1] [ 0 6 2 1 0 0 -2 0 -2 -2 0 0 -2 -2 1 2 -2 -1 2 -2 3 -1 -3 1 -1 -2] [-2 2 6 3 2 -1 -1 -3 -3 1 0 -1 -3 -3 2 -1 1 1 0 -3 2 2 -2 -2 2 1] [-3 1 3 6 1 -1 0 -3 -3 1 -2 -2 -2 0 0 0 1 2 0 -2 1 1 0 0 0 2] [-2 0 2 1 6 1 -2 -2 -2 -1 -1 -2 0 1 -2 -3 -2 -1 -2 -2 -2 0 -3 -3 0 -1] [-1 0 -1 -1 1 6 -2 0 0 0 2 -2 2 1 0 0 -2 1 -2 -1 -1 -1 0 1 -3 -3] [ 0 -2 -1 0 -2 -2 6 1 0 3 1 1 2 0 0 0 0 -1 0 1 1 -1 3 -1 3 2] [ 3 0 -3 -3 -2 0 1 6 3 -1 2 0 2 0 1 3 0 -3 2 0 0 -3 2 2 0 -1] [ 3 -2 -3 -3 -2 0 0 3 6 -2 2 1 0 0 -1 0 2 0 -1 1 -2 -2 3 2 -1 -1] [-2 -2 1 1 -1 0 3 -1 -2 6 1 -1 2 0 1 -1 1 2 0 0 0 2 1 -1 3 1] [ 1 0 0 -2 -1 2 1 2 2 1 6 -1 1 -1 1 0 0 0 0 -2 -1 -1 1 1 0 -3] [ 0 0 -1 -2 -2 -2 1 0 1 -1 -1 6 0 -1 -1 -1 0 0 2 3 1 1 1 1 0 2] [ 0 -2 -3 -2 0 2 2 2 0 2 1 0 6 3 0 0 -1 0 -1 2 -1 0 1 0 0 -1] [ 1 -2 -3 0 1 1 0 0 0 0 -1 -1 3 6 -1 -1 0 0 -2 2 -3 1 0 1 -2 -1] [ 1 1 2 0 -2 0 0 1 -1 1 1 -1 0 -1 6 2 1 0 1 -1 2 2 0 1 1 0] [ 2 2 -1 0 -3 0 0 3 0 -1 0 -1 0 -1 2 6 0 -1 2 0 3 -2 1 2 -1 0] [ 2 -2 1 1 -2 -2 0 0 2 1 0 0 -1 0 1 0 6 2 0 1 0 2 2 1 1 2] [-2 -1 1 2 -1 1 -1 -3 0 2 0 0 0 0 0 -1 2 6 -1 0 0 3 1 1 -1 0] [ 0 2 0 0 -2 -2 0 2 -1 0 0 2 -1 -2 1 2 0 -1 6 0 2 0 0 2 0 1] [ 1 -2 -3 -2 -2 -1 1 0 1 0 -2 3 2 2 -1 0 1 0 0 6 0 1 1 1 0 2] [ 0 3 2 1 -2 -1 1 0 -2 0 -1 1 -1 -3 2 3 0 0 2 0 6 0 0 0 1 1] [-1 -1 2 1 0 -1 -1 -3 -2 2 -1 1 0 1 2 -2 2 3 0 1 0 6 -1 0 1 1] [ 1 -3 -2 0 -3 0 3 2 3 1 1 1 1 0 0 1 2 1 0 1 0 -1 6 2 0 2] [ 1 1 -2 0 -3 1 -1 2 2 -1 1 1 0 1 1 2 1 1 2 1 0 0 2 6 -3 -1] [ 0 -1 2 0 0 -3 3 0 -1 3 0 0 0 -2 1 -1 1 -1 0 0 1 1 0 -3 6 2] [-1 -2 1 2 -1 -3 2 -1 -1 1 -3 2 -1 -1 0 0 2 0 1 2 1 1 2 -1 2 6] |Aut| = [ <2, 2>, <3, 7>, <13, 1> ] Modular = true LatDB = - 3. Standard Lattice of rank 26 and degree 26 Determinant: 1594323 Factored Determinant: 3^13 Minimum: 6 Kissing Number: 21840 Inner Product Matrix: [ 6 -1 -1 -1 1 -1 2 -1 -2 1 -1 -1 -1 -2 2 0 3 1 2 2 -3 2 0 -2 0 -2] [-1 6 -2 2 1 -2 -2 -1 0 -2 3 0 2 -1 0 2 2 0 -2 1 -2 -3 1 2 -2 3] [-1 -2 6 -3 -1 1 -2 3 1 2 1 1 -2 0 -1 -1 -1 2 2 -1 -1 1 2 -2 3 1] [-1 2 -3 6 1 -1 1 0 0 -1 0 -2 3 1 0 -1 2 0 -1 -1 0 -3 1 1 -1 0] [ 1 1 -1 1 6 1 0 1 -2 1 2 0 2 2 3 -2 0 2 1 -1 -3 -1 3 2 -3 -2] [-1 -2 1 -1 1 6 -1 3 1 3 1 2 0 1 2 1 -4 -1 2 1 2 -1 1 -1 2 1] [ 2 -2 -2 1 0 -1 6 -1 0 0 -3 0 -1 0 0 -2 0 -2 0 1 2 1 0 -1 -2 -4] [-1 -1 3 0 1 3 -1 6 0 2 1 2 0 0 0 -2 -1 0 1 1 -1 -2 2 -1 3 0] [-2 0 1 0 -2 1 0 0 6 -1 1 0 -2 1 -2 3 -3 -2 1 -1 2 0 0 -2 1 2] [ 1 -2 2 -1 1 3 0 2 -1 6 -1 2 0 -1 1 -2 0 0 2 0 -1 -1 2 -1 2 1] [-1 3 1 0 2 1 -3 1 1 -1 6 0 0 1 2 2 0 2 1 0 -1 -2 2 0 -1 2] [-1 0 1 -2 0 2 0 2 0 2 0 6 0 -2 -1 0 -3 -2 1 1 1 -1 0 -1 0 2] [-1 2 -2 3 2 0 -1 0 -2 0 0 0 6 1 0 -2 0 1 -2 0 -1 -3 0 1 0 2] [-2 -1 0 1 2 1 0 0 1 -1 1 -2 1 6 0 -2 -2 0 -1 -2 2 0 1 1 0 -2] [ 2 0 -1 0 3 2 0 0 -2 1 2 -1 0 0 6 0 0 2 1 0 -1 0 2 0 -2 -1] [ 0 2 -1 -1 -2 1 -2 -2 3 -2 2 0 -2 -2 0 8 -1 -1 2 1 1 1 -1 0 -1 3] [ 3 2 -1 2 0 -4 0 -1 -3 0 0 -3 0 -2 0 -1 8 2 -1 1 -4 -1 0 1 0 -1] [ 1 0 2 0 2 -1 -2 0 -2 0 2 -2 1 0 2 -1 2 6 2 -2 -3 1 2 0 -1 0] [ 2 -2 2 -1 1 2 0 1 1 2 1 1 -2 -1 1 2 -1 2 6 -1 -1 2 2 -2 0 0] [ 2 1 -1 -1 -1 1 1 1 -1 0 0 1 0 -2 0 1 1 -2 -1 6 0 -1 -1 -1 2 0] [-3 -2 -1 0 -3 2 2 -1 2 -1 -1 1 -1 2 -1 1 -4 -3 -1 0 8 0 -2 0 0 0] [ 2 -3 1 -3 -1 -1 1 -2 0 -1 -2 -1 -3 0 0 1 -1 1 2 -1 0 6 -1 -1 -1 -3] [ 0 1 2 1 3 1 0 2 0 2 2 0 0 1 2 -1 0 2 2 -1 -2 -1 6 0 -1 0] [-2 2 -2 1 2 -1 -1 -1 -2 -1 0 -1 1 1 0 0 1 0 -2 -1 0 -1 0 6 -3 -1] [ 0 -2 3 -1 -3 2 -2 3 1 2 -1 0 0 0 -2 -1 0 -1 0 2 0 -1 -1 -3 8 2] [-2 3 1 0 -2 1 -4 0 2 1 2 2 2 -2 -1 3 -1 0 0 0 0 -3 0 -1 2 8] |Aut| = [ <2, 1>, <3, 7>, <13, 1> ] Modular = true LatDB = - 4. Standard Lattice of rank 26 and degree 26 Determinant: 1594323 Factored Determinant: 3^13 Minimum: 6 Kissing Number: 21840 Inner Product Matrix: [ 6 -1 2 -1 1 -3 -3 3 0 1 -1 -2 -1 3 -1 2 1 0 1 2 -3 -1 1 2 0 -1] [-1 6 -1 1 1 2 0 -1 -1 -2 -2 1 -2 0 3 0 1 -1 2 2 2 2 2 1 -2 3] [ 2 -1 6 2 0 -3 -3 0 1 1 0 -2 -2 2 0 -2 -1 1 2 -1 -2 2 -2 2 2 -1] [-1 1 2 6 1 2 0 -2 2 2 0 1 1 -1 0 -3 -2 -2 1 1 2 3 -2 2 1 0] [ 1 1 0 1 6 -2 -3 0 -1 -1 2 0 1 1 2 0 -1 -1 2 3 2 0 3 2 2 -1] [-3 2 -3 2 -2 8 5 -1 2 -1 -1 2 1 -2 1 1 0 -1 -1 1 2 2 -2 0 -3 3] [-3 0 -3 0 -3 5 8 1 0 -1 1 3 2 -1 -1 2 0 1 -1 -2 1 2 -2 0 -1 1] [ 3 -1 0 -2 0 -1 1 6 -2 0 1 0 -1 2 -1 4 1 0 -1 -1 -3 0 1 0 0 -2] [ 0 -1 1 2 -1 2 0 -2 6 2 -2 1 0 1 0 -3 1 1 0 2 1 2 -1 0 1 2] [ 1 -2 1 2 -1 -1 -1 0 2 6 -1 -1 0 1 -3 -2 0 -1 0 1 -1 1 -1 0 2 -1] [-1 -2 0 0 2 -1 1 1 -2 -1 6 1 1 -1 1 2 -3 1 -1 -1 0 0 -1 0 1 -2] [-2 1 -2 1 0 2 3 0 1 -1 1 6 0 -2 1 0 1 1 -1 1 2 1 1 -2 1 0] [-1 -2 -2 1 1 1 2 -1 0 0 1 0 6 -2 -1 0 -2 -2 0 -1 2 -1 -1 1 0 -1] [ 3 0 2 -1 1 -2 -1 2 1 1 -1 -2 -2 6 -1 0 2 2 2 1 -2 2 1 2 2 0] [-1 3 0 0 2 1 -1 -1 0 -3 1 1 -1 -1 6 1 0 0 1 1 1 1 1 0 -1 3] [ 2 0 -2 -3 0 1 2 4 -3 -2 2 0 0 0 1 8 1 -1 0 -1 -1 -2 1 1 -2 -1] [ 1 1 -1 -2 -1 0 0 1 1 0 -3 1 -2 2 0 1 6 0 1 0 0 -1 2 -2 1 1] [ 0 -1 1 -2 -1 -1 1 0 1 -1 1 1 -2 2 0 -1 0 6 0 1 -2 1 -1 -1 1 0] [ 1 2 2 1 2 -1 -1 -1 0 0 -1 -1 0 2 1 0 1 0 6 2 1 2 1 3 2 1] [ 2 2 -1 1 3 1 -2 -1 2 1 -1 1 -1 1 1 -1 0 1 2 8 1 1 2 1 0 2] [-3 2 -2 2 2 2 1 -3 1 -1 0 2 2 -2 1 -1 0 -2 1 1 6 0 1 1 0 1] [-1 2 2 3 0 2 2 0 2 1 0 1 -1 2 1 -2 -1 1 2 1 0 6 -1 2 1 2] [ 1 2 -2 -2 3 -2 -2 1 -1 -1 -1 1 -1 1 1 1 2 -1 1 2 1 -1 6 0 1 0] [ 2 1 2 2 2 0 0 0 0 0 0 -2 1 2 0 1 -2 -1 3 1 1 2 0 6 0 0] [ 0 -2 2 1 2 -3 -1 0 1 2 1 1 0 2 -1 -2 1 1 2 0 0 1 1 0 6 -2] [-1 3 -1 0 -1 3 1 -2 2 -1 -2 0 -1 0 3 -1 1 0 1 2 1 2 0 0 -2 6] |Aut| = [ <2, 1>, <3, 6>, <13, 1> ] Modular = true LatDB = - 5. Standard Lattice of rank 26 and degree 26 Determinant: 1594323 Factored Determinant: 3^13 Minimum: 6 Kissing Number: 21840 Inner Product Matrix: [ 6 -1 2 3 0 1 1 1 -3 2 -1 -3 -1 -3 3 2 2 -1 2 -3 1 -1 -1 2 -2 -1] [-1 6 -2 -1 1 0 1 -2 3 -3 1 0 -2 2 -1 2 -1 0 -3 2 -1 1 2 2 -2 -2] [ 2 -2 6 3 -2 -1 2 0 0 2 -3 0 -1 -2 -1 0 -1 2 3 -1 -1 -3 -3 1 0 0] [ 3 -1 3 6 1 -1 1 -1 -1 2 -3 -2 -2 -2 2 0 1 2 3 -3 1 -1 0 0 1 -2] [ 0 1 -2 1 6 -2 1 -2 2 -1 0 1 0 0 3 -1 3 0 -1 1 3 0 3 0 1 1] [ 1 0 -1 -1 -2 6 -2 1 -1 2 -1 -1 -1 0 2 -1 1 -2 -1 0 -1 3 -2 1 1 1] [ 1 1 2 1 1 -2 6 0 2 0 0 0 -2 -2 1 0 0 -1 2 0 2 -1 0 0 -1 0] [ 1 -2 0 -1 -2 1 0 6 -4 3 0 0 1 -3 1 -1 -2 -2 0 0 1 0 -2 1 0 2] [-3 3 0 -1 2 -1 2 -4 8 -3 1 2 -2 2 -2 -1 0 2 -1 2 -1 1 2 1 1 0] [ 2 -3 2 2 -1 2 0 3 -3 6 -3 -1 -1 -2 2 -1 0 -1 2 -1 2 0 -3 1 2 1] [-1 1 -3 -3 0 -1 0 0 1 -3 6 0 2 1 -2 1 -1 0 -1 0 0 0 3 0 -1 -1] [-3 0 0 -2 1 -1 0 0 2 -1 0 6 2 0 -2 -2 -2 1 -2 3 1 0 -1 -1 0 2] [-1 -2 -1 -2 0 -1 -2 1 -2 -1 2 2 6 1 -2 -1 -1 0 0 0 1 0 1 -1 -1 2] [-3 2 -2 -2 0 0 -2 -3 2 -2 1 0 1 6 -2 0 0 1 -2 2 -1 1 1 -1 0 -1] [ 3 -1 -1 2 3 2 1 1 -2 2 -2 -2 -2 -2 8 -1 4 -3 0 -1 3 1 0 0 1 1] [ 2 2 0 0 -1 -1 0 -1 -1 -1 1 -2 -1 0 -1 6 0 0 0 -2 -1 -1 1 2 -3 -3] [ 2 -1 -1 1 3 1 0 -2 0 0 -1 -2 -1 0 4 0 6 -1 1 -1 1 1 1 -1 1 1] [-1 0 2 2 0 -2 -1 -2 2 -1 0 1 0 1 -3 0 -1 6 1 0 -2 -2 1 0 2 -2] [ 2 -3 3 3 -1 -1 2 0 -1 2 -1 -2 0 -2 0 0 1 1 6 -3 1 -1 0 -1 1 -1] [-3 2 -1 -3 1 0 0 0 2 -1 0 3 0 2 -1 -2 -1 0 -3 6 0 -1 -1 0 1 2] [ 1 -1 -1 1 3 -1 2 1 -1 2 0 1 1 -1 3 -1 1 -2 1 0 6 1 1 -1 0 1] [-1 1 -3 -1 0 3 -1 0 1 0 0 0 0 1 1 -1 1 -2 -1 -1 1 6 1 -1 0 1] [-1 2 -3 0 3 -2 0 -2 2 -3 3 -1 1 1 0 1 1 1 0 -1 1 1 6 0 0 -1] [ 2 2 1 0 0 1 0 1 1 1 0 -1 -1 -1 0 2 -1 0 -1 0 -1 -1 0 6 -1 0] [-2 -2 0 1 1 1 -1 0 1 2 -1 0 -1 0 1 -3 1 2 1 1 0 0 0 -1 6 1] [-1 -2 0 -2 1 1 0 2 0 1 -1 2 2 -1 1 -3 1 -2 -1 2 1 1 -1 0 1 6] |Aut| = [ <2, 3>, <3, 1>, <13, 1> ] Modular = true LatDB = - 6. Standard Lattice of rank 26 and degree 26 Determinant: 1594323 Factored Determinant: 3^13 Minimum: 6 Kissing Number: 21840 Inner Product Matrix: [ 6 2 -2 2 3 -2 -1 1 1 -1 3 2 -2 -1 0 1 3 2 0 -1 0 1 -2 1 -1 2] [ 2 6 -1 1 1 -2 0 1 0 2 1 0 -1 0 0 2 -1 2 -2 -1 2 -1 1 2 1 3] [-2 -1 6 -3 0 2 1 0 -1 0 -1 -3 0 -1 -2 -3 -2 -2 0 -1 -2 2 -2 1 2 -1] [ 2 1 -3 6 -1 -2 0 1 -1 0 -1 1 0 1 0 0 1 1 2 2 1 1 2 1 -3 0] [ 3 1 0 -1 6 -1 1 -1 0 0 1 -1 -3 0 0 1 1 0 -1 -1 -1 0 -2 2 -1 2] [-2 -2 2 -2 -1 6 1 -2 -1 -2 0 0 2 0 1 -1 -1 1 -2 2 0 2 -1 -3 3 0] [-1 0 1 0 1 1 6 -1 1 1 -1 -2 2 3 1 -2 0 -1 -1 1 -2 -1 0 0 -1 1] [ 1 1 0 1 -1 -2 -1 6 0 -1 1 -1 -2 1 1 0 0 -2 3 1 -2 1 -2 1 0 0] [ 1 0 -1 -1 0 -1 1 0 6 2 1 2 2 1 2 0 1 -1 -2 0 -2 0 -1 1 0 2] [-1 2 0 0 0 -2 1 -1 2 6 0 1 0 1 1 1 -1 0 -1 0 0 -2 2 2 0 2] [ 3 1 -1 -1 1 0 -1 1 1 0 6 2 -1 0 2 2 3 2 -1 -1 -1 0 -2 -2 2 1] [ 2 0 -3 1 -1 0 -2 -1 2 1 2 6 1 0 1 2 2 3 -1 0 1 0 1 -1 0 2] [-2 -1 0 0 -3 2 2 -2 2 0 -1 1 6 1 1 -1 -1 1 -2 1 0 0 2 -1 1 0] [-1 0 -1 1 0 0 3 1 1 1 0 0 1 6 3 -1 0 -1 1 1 -2 -1 1 -1 -2 0] [ 0 0 -2 0 0 1 1 1 2 1 2 1 1 3 6 2 1 1 -1 3 -1 -1 -1 -1 0 2] [ 1 2 -3 0 1 -1 -2 0 0 1 2 2 -1 -1 2 6 0 2 -2 1 1 -1 0 0 1 3] [ 3 -1 -2 1 1 -1 0 0 1 -1 3 2 -1 0 1 0 6 2 0 -1 -1 -1 -2 -1 -1 0] [ 2 2 -2 1 0 1 -1 -2 -1 0 2 3 1 -1 1 2 2 6 -2 0 3 -1 1 -1 1 2] [ 0 -2 0 2 -1 -2 -1 3 -2 -1 -1 -1 -2 1 -1 -2 0 -2 6 0 -1 0 0 0 -3 -3] [-1 -1 -1 2 -1 2 1 1 0 0 -1 0 1 1 3 1 -1 0 0 6 -1 2 0 0 0 1] [ 0 2 -2 1 -1 0 -2 -2 -2 0 -1 1 0 -2 -1 1 -1 3 -1 -1 6 -2 3 -1 0 0] [ 1 -1 2 1 0 2 -1 1 0 -2 0 0 0 -1 -1 -1 -1 -1 0 2 -2 6 -2 1 1 0] [-2 1 -2 2 -2 -1 0 -2 -1 2 -2 1 2 1 -1 0 -2 1 0 0 3 -2 6 0 -1 -1] [ 1 2 1 1 2 -3 0 1 1 2 -2 -1 -1 -1 -1 0 -1 -1 0 0 -1 1 0 6 -1 2] [-1 1 2 -3 -1 3 -1 0 0 0 2 0 1 -2 0 1 -1 1 -3 0 0 1 -1 -1 6 1] [ 2 3 -1 0 2 0 1 0 2 2 1 2 0 0 2 3 0 2 -3 1 0 0 -1 2 1 6] |Aut| = [ <2, 1>, <13, 1> ] Modular = true LatDB = - */ // Data Liste:=[ PowerStructure(Lat) | LatticeWithGram(MatrixRing(IntegerRing(), 26) ! \[ 6, 0, 0, 1, 2, 3, 2, -1, 2, -2, 2, 1, 2, 0, -1, -2, 0, 2, -1, 1, 2, -2, -2, -1, -3, -2, 0, 6, -1, 0, -1, 1, -2, 2, -2, 0, -1, 2, 3, 2, 1, 3, 3, 3, 2, 1, 2, 1, -2, 2, 0, -2, 0, -1, 6, -1, 0, 1, 1, 1, 1, 2, -1, 0, -3, -3, -3, 2, -3, -2, 0, -3, -3, 2, -1, -1, 1, 0, 1, 0, -1, 6, -1, 1, 2, 0, 3, 1, 0, -1, -2, -1, 2, 1, -2, 0, -2, -2, -1, -3, 2, -2, 0, -2, 2, -1, 0, -1, 6, 3, 1, -1, -2, -1, 0, 2, -1, 0, 1, -3, -2, -2, -2, -1, 0, 1, -1, -2, -3, 2, 3, 1, 1, 1, 3, 6, 0, 1, 0, -1, 0, 2, 0, -1, -1, -1, -1, 0, -2, -2, 0, -1, -2, -1, -2, 0, 2, -2, 1, 2, 1, 0, 6, 0, 3, 2, 2, -2, -2, -2, -1, 1, -2, -2, 0, -1, 0, -2, 0, -2, -2, 1, -1, 2, 1, 0, -1, 1, 0, 6, -2, 1, -2, -1, 0, -1, 0, 4, 1, 2, 2, 1, 0, 1, -1, -1, -1, 0, 2, -2, 1, 3, -2, 0, 3, -2, 8, 1, 2, -1, -1, -2, -3, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 2, 1, -1, -1, 2, 1, 1, 6, -2, 0, -3, 0, 1, 2, -1, -1, 0, -1, -3, 0, -1, 1, 1, 0, 2, -1, -1, 0, 0, 0, 2, -2, 2, -2, 6, 0, 2, 0, -1, -2, -1, -1, 0, 1, 1, -2, 1, -1, -2, 0, 1, 2, 0, -1, 2, 2, -2, -1, -1, 0, 0, 6, 2, 1, 2, -2, 1, 2, -2, 0, 0, 2, -3, 0, -2, 0, 2, 3, -3, -2, -1, 0, -2, 0, -1, -3, 2, 2, 8, 2, -1, -1, 4, 4, 2, 5, 4, 0, -1, 1, -1, -1, 0, 2, -3, -1, 0, -1, -2, -1, -2, 0, 0, 1, 2, 6, 2, -1, 2, 1, 1, 2, 2, 0, 0, 3, 0, -2, -1, 1, -3, 2, 1, -1, -1, 0, -3, 1, -1, 2, -1, 2, 8, -2, -1, 2, -2, 0, -1, 0, 0, -1, -2, -1, -2, 3, 2, 1, -3, -1, 1, 4, 1, 2, -2, -2, -1, -1, -2, 8, 1, 1, 4, -1, 0, 2, 0, 1, 1, -1, 0, 3, -3, -2, -2, -1, -2, 1, 0, -1, -1, 1, 4, 2, -1, 1, 8, 4, 2, 4, 4, 0, -3, 4, 0, 0, 2, 3, -2, 0, -2, 0, -2, 2, 0, -1, -1, 2, 4, 1, 2, 1, 4, 8, 1, 4, 2, 0, -3, 1, -2, -3, -1, 2, 0, -2, -2, -2, 0, 2, 0, 0, 0, -2, 2, 1, -2, 4, 2, 1, 6, 2, 2, 2, 0, 2, 0, -1, 1, 1, -3, -2, -1, -2, -1, 1, 0, -1, 1, 0, 5, 2, 0, -1, 4, 4, 2, 8, 3, 0, -1, 1, -1, -1, 2, 2, -3, -1, 0, 0, 0, 0, 0, -3, 1, 0, 4, 2, -1, 0, 4, 2, 2, 3, 6, 0, -1, 1, -1, 0, -2, 1, 2, -3, 1, -1, -2, 1, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 6, -1, 0, 0, 1, -2, -2, -1, 2, -1, -2, 0, -1, 0, -1, 1, -3, -1, 0, 0, 0, -3, -3, 0, -1, -1, -1, 6, -2, 2, 0, -1, 2, -1, -2, -2, -1, -2, -1, 0, 1, -1, 0, 1, 3, -1, 1, 4, 1, 2, 1, 1, 0, -2, 6, 2, -1, -3, 0, 1, 0, -3, -2, -2, -1, 0, 1, -2, -2, -1, 0, -2, 1, 0, -2, 0, -1, -1, 0, 2, 2, 6, 0, -2, -2, 0, -2, 2, 0, 1, 0, -2, 0, 0, 0, -1, -2, -1, -1, 0, -3, -1, -1, 0, 1, 0, -1, 0, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 26) ! \[ 6, 0, -2, -3, -2, -1, 0, 3, 3, -2, 1, 0, 0, 1, 1, 2, 2, -2, 0, 1, 0, -1, 1, 1, 0, -1, 0, 6, 2, 1, 0, 0, -2, 0, -2, -2, 0, 0, -2, -2, 1, 2, -2, -1, 2, -2, 3, -1, -3, 1, -1, -2, -2, 2, 6, 3, 2, -1, -1, -3, -3, 1, 0, -1, -3, -3, 2, -1, 1, 1, 0, -3, 2, 2, -2, -2, 2, 1, -3, 1, 3, 6, 1, -1, 0, -3, -3, 1, -2, -2, -2, 0, 0, 0, 1, 2, 0, -2, 1, 1, 0, 0, 0, 2, -2, 0, 2, 1, 6, 1, -2, -2, -2, -1, -1, -2, 0, 1, -2, -3, -2, -1, -2, -2, -2, 0, -3, -3, 0, -1, -1, 0, -1, -1, 1, 6, -2, 0, 0, 0, 2, -2, 2, 1, 0, 0, -2, 1, -2, -1, -1, -1, 0, 1, -3, -3, 0, -2, -1, 0, -2, -2, 6, 1, 0, 3, 1, 1, 2, 0, 0, 0, 0, -1, 0, 1, 1, -1, 3, -1, 3, 2, 3, 0, -3, -3, -2, 0, 1, 6, 3, -1, 2, 0, 2, 0, 1, 3, 0, -3, 2, 0, 0, -3, 2, 2, 0, -1, 3, -2, -3, -3, -2, 0, 0, 3, 6, -2, 2, 1, 0, 0, -1, 0, 2, 0, -1, 1, -2, -2, 3, 2, -1, -1, -2, -2, 1, 1, -1, 0, 3, -1, -2, 6, 1, -1, 2, 0, 1, -1, 1, 2, 0, 0, 0, 2, 1, -1, 3, 1, 1, 0, 0, -2, -1, 2, 1, 2, 2, 1, 6, -1, 1, -1, 1, 0, 0, 0, 0, -2, -1, -1, 1, 1, 0, -3, 0, 0, -1, -2, -2, -2, 1, 0, 1, -1, -1, 6, 0, -1, -1, -1, 0, 0, 2, 3, 1, 1, 1, 1, 0, 2, 0, -2, -3, -2, 0, 2, 2, 2, 0, 2, 1, 0, 6, 3, 0, 0, -1, 0, -1, 2, -1, 0, 1, 0, 0, -1, 1, -2, -3, 0, 1, 1, 0, 0, 0, 0, -1, -1, 3, 6, -1, -1, 0, 0, -2, 2, -3, 1, 0, 1, -2, -1, 1, 1, 2, 0, -2, 0, 0, 1, -1, 1, 1, -1, 0, -1, 6, 2, 1, 0, 1, -1, 2, 2, 0, 1, 1, 0, 2, 2, -1, 0, -3, 0, 0, 3, 0, -1, 0, -1, 0, -1, 2, 6, 0, -1, 2, 0, 3, -2, 1, 2, -1, 0, 2, -2, 1, 1, -2, -2, 0, 0, 2, 1, 0, 0, -1, 0, 1, 0, 6, 2, 0, 1, 0, 2, 2, 1, 1, 2, -2, -1, 1, 2, -1, 1, -1, -3, 0, 2, 0, 0, 0, 0, 0, -1, 2, 6, -1, 0, 0, 3, 1, 1, -1, 0, 0, 2, 0, 0, -2, -2, 0, 2, -1, 0, 0, 2, -1, -2, 1, 2, 0, -1, 6, 0, 2, 0, 0, 2, 0, 1, 1, -2, -3, -2, -2, -1, 1, 0, 1, 0, -2, 3, 2, 2, -1, 0, 1, 0, 0, 6, 0, 1, 1, 1, 0, 2, 0, 3, 2, 1, -2, -1, 1, 0, -2, 0, -1, 1, -1, -3, 2, 3, 0, 0, 2, 0, 6, 0, 0, 0, 1, 1, -1, -1, 2, 1, 0, -1, -1, -3, -2, 2, -1, 1, 0, 1, 2, -2, 2, 3, 0, 1, 0, 6, -1, 0, 1, 1, 1, -3, -2, 0, -3, 0, 3, 2, 3, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, -1, 6, 2, 0, 2, 1, 1, -2, 0, -3, 1, -1, 2, 2, -1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 6, -3, -1, 0, -1, 2, 0, 0, -3, 3, 0, -1, 3, 0, 0, 0, -2, 1, -1, 1, -1, 0, 0, 1, 1, 0, -3, 6, 2, -1, -2, 1, 2, -1, -3, 2, -1, -1, 1, -3, 2, -1, -1, 0, 0, 2, 0, 1, 2, 1, 1, 2, -1, 2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 26) ! \[ 6, -1, -1, -1, 1, -1, 2, -1, -2, 1, -1, -1, -1, -2, 2, 0, 3, 1, 2, 2, -3, 2, 0, -2, 0, -2, -1, 6, -2, 2, 1, -2, -2, -1, 0, -2, 3, 0, 2, -1, 0, 2, 2, 0, -2, 1, -2, -3, 1, 2, -2, 3, -1, -2, 6, -3, -1, 1, -2, 3, 1, 2, 1, 1, -2, 0, -1, -1, -1, 2, 2, -1, -1, 1, 2, -2, 3, 1, -1, 2, -3, 6, 1, -1, 1, 0, 0, -1, 0, -2, 3, 1, 0, -1, 2, 0, -1, -1, 0, -3, 1, 1, -1, 0, 1, 1, -1, 1, 6, 1, 0, 1, -2, 1, 2, 0, 2, 2, 3, -2, 0, 2, 1, -1, -3, -1, 3, 2, -3, -2, -1, -2, 1, -1, 1, 6, -1, 3, 1, 3, 1, 2, 0, 1, 2, 1, -4, -1, 2, 1, 2, -1, 1, -1, 2, 1, 2, -2, -2, 1, 0, -1, 6, -1, 0, 0, -3, 0, -1, 0, 0, -2, 0, -2, 0, 1, 2, 1, 0, -1, -2, -4, -1, -1, 3, 0, 1, 3, -1, 6, 0, 2, 1, 2, 0, 0, 0, -2, -1, 0, 1, 1, -1, -2, 2, -1, 3, 0, -2, 0, 1, 0, -2, 1, 0, 0, 6, -1, 1, 0, -2, 1, -2, 3, -3, -2, 1, -1, 2, 0, 0, -2, 1, 2, 1, -2, 2, -1, 1, 3, 0, 2, -1, 6, -1, 2, 0, -1, 1, -2, 0, 0, 2, 0, -1, -1, 2, -1, 2, 1, -1, 3, 1, 0, 2, 1, -3, 1, 1, -1, 6, 0, 0, 1, 2, 2, 0, 2, 1, 0, -1, -2, 2, 0, -1, 2, -1, 0, 1, -2, 0, 2, 0, 2, 0, 2, 0, 6, 0, -2, -1, 0, -3, -2, 1, 1, 1, -1, 0, -1, 0, 2, -1, 2, -2, 3, 2, 0, -1, 0, -2, 0, 0, 0, 6, 1, 0, -2, 0, 1, -2, 0, -1, -3, 0, 1, 0, 2, -2, -1, 0, 1, 2, 1, 0, 0, 1, -1, 1, -2, 1, 6, 0, -2, -2, 0, -1, -2, 2, 0, 1, 1, 0, -2, 2, 0, -1, 0, 3, 2, 0, 0, -2, 1, 2, -1, 0, 0, 6, 0, 0, 2, 1, 0, -1, 0, 2, 0, -2, -1, 0, 2, -1, -1, -2, 1, -2, -2, 3, -2, 2, 0, -2, -2, 0, 8, -1, -1, 2, 1, 1, 1, -1, 0, -1, 3, 3, 2, -1, 2, 0, -4, 0, -1, -3, 0, 0, -3, 0, -2, 0, -1, 8, 2, -1, 1, -4, -1, 0, 1, 0, -1, 1, 0, 2, 0, 2, -1, -2, 0, -2, 0, 2, -2, 1, 0, 2, -1, 2, 6, 2, -2, -3, 1, 2, 0, -1, 0, 2, -2, 2, -1, 1, 2, 0, 1, 1, 2, 1, 1, -2, -1, 1, 2, -1, 2, 6, -1, -1, 2, 2, -2, 0, 0, 2, 1, -1, -1, -1, 1, 1, 1, -1, 0, 0, 1, 0, -2, 0, 1, 1, -2, -1, 6, 0, -1, -1, -1, 2, 0, -3, -2, -1, 0, -3, 2, 2, -1, 2, -1, -1, 1, -1, 2, -1, 1, -4, -3, -1, 0, 8, 0, -2, 0, 0, 0, 2, -3, 1, -3, -1, -1, 1, -2, 0, -1, -2, -1, -3, 0, 0, 1, -1, 1, 2, -1, 0, 6, -1, -1, -1, -3, 0, 1, 2, 1, 3, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, -1, 0, 2, 2, -1, -2, -1, 6, 0, -1, 0, -2, 2, -2, 1, 2, -1, -1, -1, -2, -1, 0, -1, 1, 1, 0, 0, 1, 0, -2, -1, 0, -1, 0, 6, -3, -1, 0, -2, 3, -1, -3, 2, -2, 3, 1, 2, -1, 0, 0, 0, -2, -1, 0, -1, 0, 2, 0, -1, -1, -3, 8, 2, -2, 3, 1, 0, -2, 1, -4, 0, 2, 1, 2, 2, 2, -2, -1, 3, -1, 0, 0, 0, 0, -3, 0, -1, 2, 8 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 26) ! \[ 6, -1, 2, -1, 1, -3, -3, 3, 0, 1, -1, -2, -1, 3, -1, 2, 1, 0, 1, 2, -3, -1, 1, 2, 0, -1, -1, 6, -1, 1, 1, 2, 0, -1, -1, -2, -2, 1, -2, 0, 3, 0, 1, -1, 2, 2, 2, 2, 2, 1, -2, 3, 2, -1, 6, 2, 0, -3, -3, 0, 1, 1, 0, -2, -2, 2, 0, -2, -1, 1, 2, -1, -2, 2, -2, 2, 2, -1, -1, 1, 2, 6, 1, 2, 0, -2, 2, 2, 0, 1, 1, -1, 0, -3, -2, -2, 1, 1, 2, 3, -2, 2, 1, 0, 1, 1, 0, 1, 6, -2, -3, 0, -1, -1, 2, 0, 1, 1, 2, 0, -1, -1, 2, 3, 2, 0, 3, 2, 2, -1, -3, 2, -3, 2, -2, 8, 5, -1, 2, -1, -1, 2, 1, -2, 1, 1, 0, -1, -1, 1, 2, 2, -2, 0, -3, 3, -3, 0, -3, 0, -3, 5, 8, 1, 0, -1, 1, 3, 2, -1, -1, 2, 0, 1, -1, -2, 1, 2, -2, 0, -1, 1, 3, -1, 0, -2, 0, -1, 1, 6, -2, 0, 1, 0, -1, 2, -1, 4, 1, 0, -1, -1, -3, 0, 1, 0, 0, -2, 0, -1, 1, 2, -1, 2, 0, -2, 6, 2, -2, 1, 0, 1, 0, -3, 1, 1, 0, 2, 1, 2, -1, 0, 1, 2, 1, -2, 1, 2, -1, -1, -1, 0, 2, 6, -1, -1, 0, 1, -3, -2, 0, -1, 0, 1, -1, 1, -1, 0, 2, -1, -1, -2, 0, 0, 2, -1, 1, 1, -2, -1, 6, 1, 1, -1, 1, 2, -3, 1, -1, -1, 0, 0, -1, 0, 1, -2, -2, 1, -2, 1, 0, 2, 3, 0, 1, -1, 1, 6, 0, -2, 1, 0, 1, 1, -1, 1, 2, 1, 1, -2, 1, 0, -1, -2, -2, 1, 1, 1, 2, -1, 0, 0, 1, 0, 6, -2, -1, 0, -2, -2, 0, -1, 2, -1, -1, 1, 0, -1, 3, 0, 2, -1, 1, -2, -1, 2, 1, 1, -1, -2, -2, 6, -1, 0, 2, 2, 2, 1, -2, 2, 1, 2, 2, 0, -1, 3, 0, 0, 2, 1, -1, -1, 0, -3, 1, 1, -1, -1, 6, 1, 0, 0, 1, 1, 1, 1, 1, 0, -1, 3, 2, 0, -2, -3, 0, 1, 2, 4, -3, -2, 2, 0, 0, 0, 1, 8, 1, -1, 0, -1, -1, -2, 1, 1, -2, -1, 1, 1, -1, -2, -1, 0, 0, 1, 1, 0, -3, 1, -2, 2, 0, 1, 6, 0, 1, 0, 0, -1, 2, -2, 1, 1, 0, -1, 1, -2, -1, -1, 1, 0, 1, -1, 1, 1, -2, 2, 0, -1, 0, 6, 0, 1, -2, 1, -1, -1, 1, 0, 1, 2, 2, 1, 2, -1, -1, -1, 0, 0, -1, -1, 0, 2, 1, 0, 1, 0, 6, 2, 1, 2, 1, 3, 2, 1, 2, 2, -1, 1, 3, 1, -2, -1, 2, 1, -1, 1, -1, 1, 1, -1, 0, 1, 2, 8, 1, 1, 2, 1, 0, 2, -3, 2, -2, 2, 2, 2, 1, -3, 1, -1, 0, 2, 2, -2, 1, -1, 0, -2, 1, 1, 6, 0, 1, 1, 0, 1, -1, 2, 2, 3, 0, 2, 2, 0, 2, 1, 0, 1, -1, 2, 1, -2, -1, 1, 2, 1, 0, 6, -1, 2, 1, 2, 1, 2, -2, -2, 3, -2, -2, 1, -1, -1, -1, 1, -1, 1, 1, 1, 2, -1, 1, 2, 1, -1, 6, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 1, 2, 0, 1, -2, -1, 3, 1, 1, 2, 0, 6, 0, 0, 0, -2, 2, 1, 2, -3, -1, 0, 1, 2, 1, 1, 0, 2, -1, -2, 1, 1, 2, 0, 0, 1, 1, 0, 6, -2, -1, 3, -1, 0, -1, 3, 1, -2, 2, -1, -2, 0, -1, 0, 3, -1, 1, 0, 1, 2, 1, 2, 0, 0, -2, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 26) ! \[ 6, -1, 2, 3, 0, 1, 1, 1, -3, 2, -1, -3, -1, -3, 3, 2, 2, -1, 2, -3, 1, -1, -1, 2, -2, -1, -1, 6, -2, -1, 1, 0, 1, -2, 3, -3, 1, 0, -2, 2, -1, 2, -1, 0, -3, 2, -1, 1, 2, 2, -2, -2, 2, -2, 6, 3, -2, -1, 2, 0, 0, 2, -3, 0, -1, -2, -1, 0, -1, 2, 3, -1, -1, -3, -3, 1, 0, 0, 3, -1, 3, 6, 1, -1, 1, -1, -1, 2, -3, -2, -2, -2, 2, 0, 1, 2, 3, -3, 1, -1, 0, 0, 1, -2, 0, 1, -2, 1, 6, -2, 1, -2, 2, -1, 0, 1, 0, 0, 3, -1, 3, 0, -1, 1, 3, 0, 3, 0, 1, 1, 1, 0, -1, -1, -2, 6, -2, 1, -1, 2, -1, -1, -1, 0, 2, -1, 1, -2, -1, 0, -1, 3, -2, 1, 1, 1, 1, 1, 2, 1, 1, -2, 6, 0, 2, 0, 0, 0, -2, -2, 1, 0, 0, -1, 2, 0, 2, -1, 0, 0, -1, 0, 1, -2, 0, -1, -2, 1, 0, 6, -4, 3, 0, 0, 1, -3, 1, -1, -2, -2, 0, 0, 1, 0, -2, 1, 0, 2, -3, 3, 0, -1, 2, -1, 2, -4, 8, -3, 1, 2, -2, 2, -2, -1, 0, 2, -1, 2, -1, 1, 2, 1, 1, 0, 2, -3, 2, 2, -1, 2, 0, 3, -3, 6, -3, -1, -1, -2, 2, -1, 0, -1, 2, -1, 2, 0, -3, 1, 2, 1, -1, 1, -3, -3, 0, -1, 0, 0, 1, -3, 6, 0, 2, 1, -2, 1, -1, 0, -1, 0, 0, 0, 3, 0, -1, -1, -3, 0, 0, -2, 1, -1, 0, 0, 2, -1, 0, 6, 2, 0, -2, -2, -2, 1, -2, 3, 1, 0, -1, -1, 0, 2, -1, -2, -1, -2, 0, -1, -2, 1, -2, -1, 2, 2, 6, 1, -2, -1, -1, 0, 0, 0, 1, 0, 1, -1, -1, 2, -3, 2, -2, -2, 0, 0, -2, -3, 2, -2, 1, 0, 1, 6, -2, 0, 0, 1, -2, 2, -1, 1, 1, -1, 0, -1, 3, -1, -1, 2, 3, 2, 1, 1, -2, 2, -2, -2, -2, -2, 8, -1, 4, -3, 0, -1, 3, 1, 0, 0, 1, 1, 2, 2, 0, 0, -1, -1, 0, -1, -1, -1, 1, -2, -1, 0, -1, 6, 0, 0, 0, -2, -1, -1, 1, 2, -3, -3, 2, -1, -1, 1, 3, 1, 0, -2, 0, 0, -1, -2, -1, 0, 4, 0, 6, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 0, 2, 2, 0, -2, -1, -2, 2, -1, 0, 1, 0, 1, -3, 0, -1, 6, 1, 0, -2, -2, 1, 0, 2, -2, 2, -3, 3, 3, -1, -1, 2, 0, -1, 2, -1, -2, 0, -2, 0, 0, 1, 1, 6, -3, 1, -1, 0, -1, 1, -1, -3, 2, -1, -3, 1, 0, 0, 0, 2, -1, 0, 3, 0, 2, -1, -2, -1, 0, -3, 6, 0, -1, -1, 0, 1, 2, 1, -1, -1, 1, 3, -1, 2, 1, -1, 2, 0, 1, 1, -1, 3, -1, 1, -2, 1, 0, 6, 1, 1, -1, 0, 1, -1, 1, -3, -1, 0, 3, -1, 0, 1, 0, 0, 0, 0, 1, 1, -1, 1, -2, -1, -1, 1, 6, 1, -1, 0, 1, -1, 2, -3, 0, 3, -2, 0, -2, 2, -3, 3, -1, 1, 1, 0, 1, 1, 1, 0, -1, 1, 1, 6, 0, 0, -1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, -1, -1, -1, 0, 2, -1, 0, -1, 0, -1, -1, 0, 6, -1, 0, -2, -2, 0, 1, 1, 1, -1, 0, 1, 2, -1, 0, -1, 0, 1, -3, 1, 2, 1, 1, 0, 0, 0, -1, 6, 1, -1, -2, 0, -2, 1, 1, 0, 2, 0, 1, -1, 2, 2, -1, 1, -3, 1, -2, -1, 2, 1, 1, -1, 0, 1, 6 ]:CheckPositive:=false), LatticeWithGram(MatrixRing(IntegerRing(), 26) ! \[ 6, 2, -2, 2, 3, -2, -1, 1, 1, -1, 3, 2, -2, -1, 0, 1, 3, 2, 0, -1, 0, 1, -2, 1, -1, 2, 2, 6, -1, 1, 1, -2, 0, 1, 0, 2, 1, 0, -1, 0, 0, 2, -1, 2, -2, -1, 2, -1, 1, 2, 1, 3, -2, -1, 6, -3, 0, 2, 1, 0, -1, 0, -1, -3, 0, -1, -2, -3, -2, -2, 0, -1, -2, 2, -2, 1, 2, -1, 2, 1, -3, 6, -1, -2, 0, 1, -1, 0, -1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, -3, 0, 3, 1, 0, -1, 6, -1, 1, -1, 0, 0, 1, -1, -3, 0, 0, 1, 1, 0, -1, -1, -1, 0, -2, 2, -1, 2, -2, -2, 2, -2, -1, 6, 1, -2, -1, -2, 0, 0, 2, 0, 1, -1, -1, 1, -2, 2, 0, 2, -1, -3, 3, 0, -1, 0, 1, 0, 1, 1, 6, -1, 1, 1, -1, -2, 2, 3, 1, -2, 0, -1, -1, 1, -2, -1, 0, 0, -1, 1, 1, 1, 0, 1, -1, -2, -1, 6, 0, -1, 1, -1, -2, 1, 1, 0, 0, -2, 3, 1, -2, 1, -2, 1, 0, 0, 1, 0, -1, -1, 0, -1, 1, 0, 6, 2, 1, 2, 2, 1, 2, 0, 1, -1, -2, 0, -2, 0, -1, 1, 0, 2, -1, 2, 0, 0, 0, -2, 1, -1, 2, 6, 0, 1, 0, 1, 1, 1, -1, 0, -1, 0, 0, -2, 2, 2, 0, 2, 3, 1, -1, -1, 1, 0, -1, 1, 1, 0, 6, 2, -1, 0, 2, 2, 3, 2, -1, -1, -1, 0, -2, -2, 2, 1, 2, 0, -3, 1, -1, 0, -2, -1, 2, 1, 2, 6, 1, 0, 1, 2, 2, 3, -1, 0, 1, 0, 1, -1, 0, 2, -2, -1, 0, 0, -3, 2, 2, -2, 2, 0, -1, 1, 6, 1, 1, -1, -1, 1, -2, 1, 0, 0, 2, -1, 1, 0, -1, 0, -1, 1, 0, 0, 3, 1, 1, 1, 0, 0, 1, 6, 3, -1, 0, -1, 1, 1, -2, -1, 1, -1, -2, 0, 0, 0, -2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 3, 6, 2, 1, 1, -1, 3, -1, -1, -1, -1, 0, 2, 1, 2, -3, 0, 1, -1, -2, 0, 0, 1, 2, 2, -1, -1, 2, 6, 0, 2, -2, 1, 1, -1, 0, 0, 1, 3, 3, -1, -2, 1, 1, -1, 0, 0, 1, -1, 3, 2, -1, 0, 1, 0, 6, 2, 0, -1, -1, -1, -2, -1, -1, 0, 2, 2, -2, 1, 0, 1, -1, -2, -1, 0, 2, 3, 1, -1, 1, 2, 2, 6, -2, 0, 3, -1, 1, -1, 1, 2, 0, -2, 0, 2, -1, -2, -1, 3, -2, -1, -1, -1, -2, 1, -1, -2, 0, -2, 6, 0, -1, 0, 0, 0, -3, -3, -1, -1, -1, 2, -1, 2, 1, 1, 0, 0, -1, 0, 1, 1, 3, 1, -1, 0, 0, 6, -1, 2, 0, 0, 0, 1, 0, 2, -2, 1, -1, 0, -2, -2, -2, 0, -1, 1, 0, -2, -1, 1, -1, 3, -1, -1, 6, -2, 3, -1, 0, 0, 1, -1, 2, 1, 0, 2, -1, 1, 0, -2, 0, 0, 0, -1, -1, -1, -1, -1, 0, 2, -2, 6, -2, 1, 1, 0, -2, 1, -2, 2, -2, -1, 0, -2, -1, 2, -2, 1, 2, 1, -1, 0, -2, 1, 0, 0, 3, -2, 6, 0, -1, -1, 1, 2, 1, 1, 2, -3, 0, 1, 1, 2, -2, -1, -1, -1, -1, 0, -1, -1, 0, 0, -1, 1, 0, 6, -1, 2, -1, 1, 2, -3, -1, 3, -1, 0, 0, 0, 2, 0, 1, -2, 0, 1, -1, 1, -3, 0, 0, 1, -1, -1, 6, 1, 2, 3, -1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 3, 0, 2, -3, 1, 0, 0, -1, 2, 1, 6 ]:CheckPositive:=false) ];