An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University (nebe@math.rwth-aachen.de) and
Neil J. A. Sloane (njasloane@gmail.com)

Last modified Fri Jul 18 13:11:33 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
KISSING_NUMBER
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
HERMITE_NUMBER
HERMITIAN_GROUP_ORDER
HERMITIAN_GROUP_GENERATORS
HERMITIAN_STRUCTURE
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  D3(1-w)+MxA5
  

• DIMENSION
  32
  

• KISSING_NUMBER
  576
  

• GRAM
  32 0
  14
  0 14
  0 0 14
  -7 7 7 14
  9 1 3 -1 24
  -1 9 3 5 0 24
  -3 -3 9 5 0 0 24
  -8 4 4 9 -12 12 12 24
  8 2 4 -1 15 -9 1 -14 42
  -2 8 0 3 9 15 -5 0 0 42
  -4 0 8 7 -1 5 15 6 0 0 42
  -7 5 1 8 -1 15 9 15 -21 21 21 42
  1 -1 1 -1 -2 0 4 3 4 -4 0 -3 4
  1 1 -1 -1 0 -2 0 -3 4 4 2 1 0 4
  -1 1 1 1 -4 0 -2 1 0 -2 4 -1 0 0 4
  0 2 0 1 -1 1 -3 -2 -1 3 5 4 -2 2 2 4
  -5 -7 -3 -3 -5 -9 -1 -3 -1 -5 -3 -5 0 0 0 -1 8
  7 -5 -1 -5 9 -5 -1 -7 5 -1 -3 -3 0 0 -2 -1 0 8
  3 1 -5 -7 1 1 -5 -7 3 3 -1 -3 0 2 0 1 0 0 8
  8 0 2 -5 8 2 2 -5 6 2 2 -1 1 1 -1 0 -4 4 4 8
  1 1 -1 0 1 3 -3 0 -9 -3 -1 0 -2 -2 0 0 -2 0 0 0 8
  -1 1 1 2 -3 1 1 4 3 -9 -5 -8 2 -2 0 -2 0 -2 -2 -2 0 8
  1 -1 1 0 3 -1 1 0 1 5 -9 -4 0 0 -2 -2 0 2 -2 0 0 0 8
  -1 -1 1 1 -1 -3 1 1 9 -1 -5 -9 2 0 0 -2 2 0 -2 -2 -4 4 4 8
  2 -2 -2 -2 0 0 -6 -3 -10 -6 -2 1 -2 -2 0 1 0 2 0 0 4 0 -2 -4 8
  2 2 2 2 0 0 0 3 6 -10 0 -7 2 -2 2 -1 -2 0 -2 0 0 4 -2 2 0 8
  2 -2 2 -2 6 0 0 -3 2 0 -10 -9 0 -2 -2 -3 0 2 0 2 2 2 4 2 0 0 8
  0 0 4 2 3 -3 3 0 9 -3 -1 -10 1 -1 1 -2 0 0 -2 0 0 2 2 4 -4 4 4 8
  0 -2 0 -1 -10 -6 4 5 -3 -17 -5 -10 3 -1 1 -2 2 -2 -2 -2 0 4 0 2 0 4 0 2 12
  2 0 0 -1 6 -10 2 -9 17 -3 -1 -8 1 3 -1 0 2 2 2 2 -4 0 0 2 -4 0 0 2 0 12
  0 0 0 -1 -4 -2 -10 -7 5 1 -3 -12 -1 1 3 2 2 -2 2 -2 0 0 0 2 0 0 0 2 0 0 12
  1 1 1 0 5 -1 -3 -10 13 5 9 -3 -1 3 1 3 0 0 4 2 -2 -2 -2 0 -2 -2 -2 0 -6 6 6 12
  
  

• DIVISORS (elementary divisors)
  2^16
  

• MINIMAL_NORM
  4
  

• HERMITE_NUMBER
  2.83
  

• HERMITIAN_GROUP_ORDER
  

• HERMITIAN_GROUP_GENERATORS
  5
  32 32
  1 0 0 0 1 -1 -2 2 -1 0 1 -2 1 0 -1 1 0 -1 -1 1 -1 0 0 -1 -1 -1 0 0 -1 0 -1 0
  0 1 0 0 1 -1 0 2 1 0 -1 0 0 0 0 1 1 -1 0 1 1 -1 -1 1 1 -1 0 0 1 -2 -1 2
  0 0 1 0 1 -1 0 0 -1 2 1 -2 1 -1 0 1 0 0 0 -1 0 1 0 -1 -1 1 0 -2 1 0 -1 0
  0 0 0 1 0 -1 1 0 1 1 0 0 0 -1 0 1 0 0 1 -1 1 0 0 0 0 1 1 -2 1 -1 0 0
  0 0 0 0 -2 0 -1 0 2 -3 1 2 -1 0 -2 0 -2 0 1 0 -1 -1 2 -1 -1 0 3 0 -4 1 3 -4
  0 0 0 0 1 -3 -1 2 0 3 3 -4 2 -3 -2 4 -1 -1 1 -2 0 1 1 -3 -3 2 3 -6 0 -1 -1 -2
  0 0 0 0 1 0 -2 0 -4 1 3 -4 2 0 -1 0 -1 0 -2 0 -3 2 1 -3 -3 0 -1 0 -2 3 -1 -2
  0 0 0 0 1 -1 0 -1 -3 4 3 -4 2 -2 0 1 -1 1 0 -3 -1 3 1 -3 -3 3 0 -4 1 2 -1 -2
  0 0 0 0 3 2 -3 2 -3 -1 -1 -2 1 3 1 -2 2 -1 -4 4 -2 0 -2 1 1 -4 -5 6 0 1 -3 4
  0 0 0 0 -1 0 -1 4 4 -4 -3 4 -2 2 -1 0 1 -2 0 4 1 -4 -1 3 3 -4 1 4 -2 -3 1 2
  0 0 0 0 5 -4 -1 6 0 3 0 -4 2 -1 0 4 3 -3 -1 2 2 -1 -3 1 1 -2 -1 -2 4 -5 -5 6
  0 0 0 0 1 -5 -2 6 3 0 1 -1 1 -2 -3 5 0 -3 1 1 1 -2 0 -1 -1 -1 4 -4 -1 -4 -1 0
  0 0 0 0 1 0 -1 0 -2 1 1 -2 2 0 0 0 0 0 -1 0 -1 1 0 -1 -1 0 -1 0 0 1 -1 0
  0 0 0 0 1 0 -1 2 0 -1 -1 0 0 2 0 0 1 -1 -1 2 0 -1 -1 1 1 -2 -1 2 0 -1 -1 2
  0 0 0 0 1 0 1 0 0 1 -1 0 0 0 2 0 1 0 0 0 1 0 -1 1 1 0 -1 0 2 -1 -1 2
  0 0 0 0 1 -1 0 2 1 0 -1 0 0 0 0 2 1 -1 0 1 1 -1 -1 1 1 -1 0 0 1 -2 -1 2
  0 0 0 0 -1 2 1 -2 0 -1 -1 2 -1 1 1 -2 1 1 0 0 0 0 0 1 1 0 -1 2 0 1 1 0
  0 0 0 0 -1 0 -1 0 0 -1 1 0 0 0 -1 0 -1 1 0 0 -1 0 1 -1 -1 0 1 0 -2 1 1 -2
  0 0 0 0 1 0 -1 2 0 -1 -1 0 0 1 0 0 1 -1 0 2 0 -1 -1 1 1 -2 -1 2 0 -1 -1 2
  0 0 0 0 1 -1 -2 2 -1 0 1 -2 1 0 -1 1 0 -1 -1 2 -1 0 0 -1 -1 -1 0 0 -1 0 -1 0
  0 0 0 0 -2 0 2 -2 2 0 0 2 -1 -1 0 0 -1 1 2 -2 2 0 1 0 0 2 2 -2 0 0 2 -2
  0 0 0 0 0 0 0 -2 -2 2 2 -2 1 -1 0 0 -1 1 0 -2 -1 3 1 -2 -2 2 0 -2 0 2 0 -2
  0 0 0 0 -2 2 0 -2 0 -2 0 2 -1 1 0 -2 -1 1 0 0 -1 0 2 0 0 0 0 2 -2 2 2 -2
  0 0 0 0 0 2 0 -2 -2 0 0 0 0 1 1 -2 0 1 -1 0 -1 1 0 1 0 0 -2 2 0 2 0 0
  0 0 0 0 -1 -2 1 0 2 1 1 0 0 -2 -1 2 -1 0 2 -2 1 0 1 -1 0 2 3 -4 0 -1 1 -2
  0 0 0 0 1 0 1 -2 -2 3 1 -2 1 -1 1 0 0 1 0 -2 0 2 0 -1 -1 3 -1 -2 2 1 -1 0
  0 0 0 0 -3 2 1 -4 0 -1 1 2 -1 0 0 -2 -2 2 1 -2 -1 1 2 -1 -1 2 2 0 -2 3 3 -4
  0 0 0 0 -1 3 2 -4 -1 0 -1 2 -1 1 2 -3 0 2 0 -1 0 1 0 1 1 1 -2 3 1 2 1 0
  0 0 0 0 1 1 0 -2 -3 2 1 -2 1 0 1 -1 0 1 -1 -1 -1 2 0 -1 -1 1 -2 0 2 2 -1 0
  0 0 0 0 1 1 -2 2 -1 -2 -1 0 0 2 0 -1 1 -1 -2 3 -1 -1 -1 1 1 -3 -2 4 -1 1 -1 2
  0 0 0 0 1 1 2 0 1 0 -3 2 -1 1 2 -1 2 0 0 1 2 -1 -2 3 3 -1 -2 2 3 -2 0 4
  0 0 0 0 2 -1 -1 4 1 -1 -2 0 0 1 0 1 2 -2 -1 3 1 -2 -2 2 2 -3 -1 2 1 -3 -2 5
  32 32
  -1 1 0 -1 -1 0 2 -1 -2 4 0 -2 0 -1 0 0 1 2 -2 0 2 0 -2 2 1 4 0 -2 3 1 -2 4
  0 -1 -1 1 -1 1 1 -3 -2 -2 -2 2 1 0 0 0 0 -1 -2 4 0 0 0 2 -2 1 -2 2 -3 1 2 0
  1 0 -1 1 -2 1 0 -1 4 -2 -4 6 -1 1 1 -2 4 -2 -1 4 2 -2 0 2 4 -2 -1 6 3 -5 -2 6
  1 -1 -1 1 -1 2 0 -2 2 -4 -4 4 0 1 1 -1 2 -4 -2 5 0 -2 0 2 2 -4 -4 7 -2 -3 -1 2
  -1 0 0 -1 -2 4 5 -3 0 -1 -3 0 -3 1 3 -4 -2 1 -1 -1 2 -4 -3 6 4 -1 -5 2 -3 3 1 -1
  1 -1 -1 1 -6 3 2 -7 4 -3 -3 6 0 0 -1 -2 1 -3 -2 3 1 -1 3 0 4 -1 -3 8 -3 -2 0 -1
  0 1 0 -1 -1 -1 -3 5 2 1 1 -2 -2 3 0 -2 2 0 -2 1 -1 -2 0 -2 4 -1 3 0 2 -2 -5 5
  1 0 0 0 -2 1 -4 0 3 -2 1 2 1 2 -1 -1 2 -2 -1 1 -3 1 4 -5 3 -4 1 6 0 -2 -3 0
  0 -1 -1 1 2 -3 1 2 -1 4 -1 -2 0 -1 3 0 0 0 -1 0 2 -1 -3 2 -1 3 2 -6 6 -3 -4 8
  1 -1 0 1 0 3 3 -4 -1 -2 -3 4 -2 3 3 -6 1 -1 -1 2 2 -1 -1 4 1 1 -4 2 -1 2 4 0
  0 0 0 -1 -4 1 3 -4 5 -2 -3 6 -4 1 1 -2 1 0 0 0 2 -1 1 0 1 3 2 0 1 -5 1 2
  0 0 1 -1 -3 4 3 -4 3 -5 -4 6 -3 4 1 -4 1 -1 0 1 1 -2 1 2 4 -1 -3 6 -4 -1 3 -1
  0 0 0 0 0 -1 -2 2 0 1 1 -2 1 0 -1 1 0 0 -1 0 -1 0 0 -2 0 -1 1 0 1 -1 -3 2
  0 0 0 0 1 -2 0 2 0 1 -1 0 0 0 0 1 1 -1 -1 2 2 -1 -2 2 0 1 1 -2 2 -2 -1 4
  0 0 0 0 1 -1 -1 0 0 1 1 0 1 -1 0 1 1 0 0 0 0 2 1 -2 -2 1 1 -2 2 -1 0 0
  0 0 0 0 0 -1 1 -1 1 0 -1 2 0 -1 0 1 1 -1 0 1 2 0 0 1 -1 2 1 -2 1 -2 1 1
  0 0 1 0 3 -2 -2 4 0 1 2 -2 0 0 0 1 -1 1 3 -3 -1 1 0 -2 -1 -1 2 -3 2 0 0 -1
  -1 1 1 -2 0 1 2 0 -1 2 0 -2 -1 0 1 -1 -1 2 0 -3 1 -1 -2 2 2 1 -1 -1 1 2 -1 1
  -1 0 0 0 0 -2 1 0 -1 1 1 0 0 -1 -1 1 -2 2 1 -1 1 1 0 0 -3 4 3 -5 0 1 3 -1
  -1 1 0 -1 -2 0 2 -1 0 1 -1 1 -1 0 0 -1 0 2 -1 0 2 -1 -1 2 1 3 1 -1 1 0 0 3
  -1 0 0 -1 -1 2 1 -2 -1 -1 1 -1 0 -1 -1 0 -3 1 0 -1 -1 0 0 1 0 -1 -2 1 -4 4 3 -6
  1 -1 -1 1 -1 0 -1 0 1 0 0 -1 2 -1 -1 2 0 -3 -1 1 -1 -1 1 -1 2 -2 -1 3 -1 -1 -3 0
  0 1 0 -1 1 0 -1 2 -2 2 1 -3 0 1 1 -2 1 0 -3 1 0 -1 -2 1 1 0 0 -1 1 2 -2 2
  1 0 0 0 1 -1 -2 2 0 2 1 -2 1 0 1 0 1 -1 -1 -1 -1 0 0 -2 1 -1 1 0 3 -1 -4 3
  0 0 0 0 -2 2 2 -3 1 -2 -2 2 0 -1 -1 1 0 -1 0 1 1 -1 0 2 1 -1 -3 4 -3 0 1 -2
  0 0 0 0 -1 0 -1 -1 2 -1 0 2 1 -1 0 1 0 0 1 -1 -1 1 2 -2 0 -2 1 2 1 -2 -1 0
  0 0 0 0 0 1 -1 1 0 0 1 -2 0 0 0 -1 -1 0 0 -1 -1 -1 0 0 2 -3 -2 2 -1 2 -1 -2
  0 0 0 0 1 0 -2 1 0 0 2 -1 0 0 1 -1 -1 1 1 -2 -2 1 1 -2 -1 -2 1 -1 1 1 0 -2
  0 1 0 0 1 -3 -4 4 -1 2 3 -3 2 -1 -2 3 1 1 0 0 -2 2 1 -4 -2 0 4 -2 2 -1 -3 2
  -1 0 0 0 3 -3 0 4 -2 2 0 -3 0 0 1 1 -1 1 0 0 1 -1 -3 2 -2 2 2 -6 2 -1 -1 4
  1 -1 -1 2 1 -1 0 -2 -1 1 0 1 1 -2 0 1 1 -1 0 2 1 2 0 0 -4 2 0 -2 2 -1 1 0
  0 -1 -1 1 0 -1 3 -2 0 1 -2 1 -1 -1 1 0 0 -1 -1 2 3 -1 -2 3 -2 4 0 -4 1 -2 1 2
  32 32
  1 0 0 0 -1 0 2 -2 0 -1 -1 0 0 0 1 0 -1 -1 0 -1 0 -1 0 0 -1 1 0 -1 -3 -1 0 -1
  0 1 0 0 0 1 0 -2 2 -1 -1 2 -1 1 1 -2 2 -1 -1 1 1 0 0 0 0 -1 -1 1 2 -3 -1 1
  0 0 1 0 -2 2 1 -2 0 1 1 -2 -1 0 0 0 -1 2 1 -3 -1 1 1 -2 1 0 -1 1 -1 2 -1 -3
  0 0 0 1 0 2 0 -1 1 0 1 0 -1 1 0 -1 1 1 1 -1 0 1 1 -1 1 -1 -1 1 1 1 1 -3
  0 0 0 0 -3 1 4 -4 1 -4 -1 4 -2 1 0 -2 -3 0 2 -1 1 -2 1 2 -2 4 3 -3 -7 2 7 -6
  0 0 0 0 -1 1 0 -4 1 0 3 -2 1 -2 -2 2 -1 -1 1 -3 -1 2 3 -4 -4 1 0 -3 -3 0 1 -8
  0 0 0 0 -3 3 0 -2 -3 0 1 -4 1 1 -1 0 -2 1 -2 -1 -3 0 1 -2 1 -1 -3 5 -5 4 -3 -2
  0 0 0 0 0 3 -1 -2 -3 3 4 -6 2 -1 -1 1 -1 2 0 -4 -3 3 2 -4 0 -1 -4 2 -1 5 -2 -6
  0 0 0 0 1 0 4 -1 -6 -1 -2 0 -2 3 2 -4 -2 1 -1 2 1 0 -4 5 -4 6 0 -5 -5 5 6 0
  0 0 0 0 -3 5 3 -7 3 -8 -2 4 -1 0 -2 0 -2 -3 1 0 -1 -3 1 3 -1 -4 -5 5 -11 1 6 -12
  0 0 0 0 -4 1 2 -1 1 1 -5 -2 1 1 -1 2 2 -3 -5 4 4 -5 -4 5 6 -1 -5 7 -1 -5 -10 10
  0 0 0 0 -3 4 0 -2 2 -1 1 -5 2 -1 -3 3 -1 -2 -1 -2 -1 -4 0 0 5 -6 -6 7 -6 1 -5 -6
  0 0 0 0 0 0 0 0 -2 1 1 -2 1 0 0 0 -1 1 0 -1 -1 1 0 -1 -1 1 0 -1 -1 2 0 -1
  0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 0 0 0 -1 -1 1 0 -1 -1 1 0 -1 -1 1 -1 -1 -1 1
  0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 0 1 0 -1 1 1 0 -1 1 1 0 -1 1 2 -1 -2 3
  0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -2 -2 2
  0 0 0 0 1 -1 -1 3 -1 1 0 0 0 0 0 0 1 1 0 1 0 0 -1 1 1 0 1 0 2 1 0 3
  0 0 0 0 -1 0 2 -1 -1 -1 0 0 0 0 0 0 -2 1 1 -1 0 -1 0 1 -1 2 1 -2 -4 2 3 -3
  0 0 0 0 0 -2 -1 1 1 -1 -2 2 0 0 0 0 1 -2 -1 3 1 -1 -1 1 -1 0 1 0 1 -4 -2 5
  0 0 0 0 -2 0 1 -2 0 -1 -1 0 0 0 0 0 -1 -1 -1 1 0 -1 0 0 -1 1 0 0 -3 -1 -1 0
  0 0 0 0 -1 -1 0 -1 4 -1 -1 4 0 -1 0 1 1 -1 1 0 2 0 2 -1 0 0 2 0 2 -4 0 1
  0 0 0 0 2 -1 -1 1 -2 3 3 -2 0 0 1 -1 0 2 1 -2 -1 4 1 -3 -2 2 2 -4 3 2 1 -1
  0 0 0 0 -1 2 1 -3 0 -3 1 2 -1 0 0 -1 -2 1 2 -2 -2 1 3 -1 -2 0 0 0 -4 3 5 -7
  0 0 0 0 1 1 1 -1 -3 0 1 0 -1 1 1 -2 -1 2 1 -1 -1 2 0 1 -2 2 0 -2 -1 4 4 -3
  0 0 0 0 0 -2 -1 2 3 2 1 0 0 -1 0 1 1 0 1 -1 1 0 1 -2 2 0 3 -2 4 -3 -2 2
  0 0 0 0 1 -1 1 0 -3 4 1 -2 0 0 1 -1 0 2 0 -1 1 2 -1 0 -1 5 1 -4 3 2 0 2
  0 0 0 0 -1 0 0 -2 1 -2 1 4 -1 0 0 -1 -1 1 2 -1 -1 2 3 -2 -3 2 4 -2 -1 1 5 -4
  0 0 0 0 -1 1 2 -3 -1 -1 -2 4 -1 1 1 -2 0 1 0 1 1 1 0 2 -1 3 0 1 0 1 3 1
  0 0 0 0 2 -1 -2 2 -2 3 1 -2 1 0 1 0 1 1 -1 0 -1 2 0 -2 0 0 0 0 5 0 -3 4
  0 0 0 0 1 0 0 2 -2 -1 -1 0 -1 2 1 -2 0 0 -1 2 0 -1 -2 2 0 0 0 0 -1 2 1 2
  0 0 0 0 1 -1 1 0 2 -1 -3 4 -1 0 1 0 2 -1 0 2 2 0 -1 2 0 0 0 0 3 -4 1 4
  0 0 0 0 0 -1 1 1 1 -2 -3 2 -1 1 0 0 1 -2 -1 3 2 -2 -2 3 0 0 0 0 -1 -3 0 4
  32 32
  -1 0 1 -2 1 0 0 0 -3 -1 2 -2 1 -1 -1 1 -5 3 2 -5 -2 1 1 -1 -4 1 0 -2 -4 4 3 -4
  1 0 -1 0 0 1 0 0 1 -1 0 -2 1 0 0 1 0 -3 -3 1 -1 -1 0 -1 1 -4 -2 2 -3 -1 -1 -2
  -1 2 1 -2 0 0 1 0 -3 3 0 -4 0 0 1 -1 1 2 -3 1 0 0 -2 1 1 1 -3 0 1 0 -4 4
  1 1 0 0 0 0 0 1 0 3 1 -4 0 0 1 0 3 -1 -3 1 0 0 -1 -1 2 -1 -1 -1 1 -1 -4 1
  -1 1 0 -2 2 -1 1 2 -5 4 -1 -4 0 1 2 -1 1 2 -4 2 1 1 -3 2 0 4 -3 -1 2 1 -4 8
  1 -1 -2 2 -2 3 3 -4 1 -6 -5 6 -2 2 1 -3 0 -3 -2 6 0 -2 -1 4 0 -3 -4 7 -5 -2 4 0
  1 1 0 0 -2 -1 1 0 5 0 -5 4 -1 0 0 1 6 -4 -3 6 4 -3 -2 4 7 -3 -3 7 5 -9 -7 10
  2 -1 -1 2 -3 2 1 -2 5 -5 -4 4 -1 1 -1 0 2 -6 -2 5 1 -4 -1 3 4 -7 -4 8 -4 -5 -1 -1
  -1 2 0 -2 5 -4 -2 8 -6 10 5 -15 2 -1 0 3 4 1 -6 1 0 1 -3 -4 -1 5 0 -10 4 1 -9 7
  0 -1 -2 2 -2 3 6 -4 0 -1 -10 5 -2 2 3 -3 4 -2 -5 11 6 -3 -7 10 5 -1 -10 10 1 -5 -2 11
  2 0 -1 2 -2 -4 1 0 5 5 -1 5 -1 -2 0 1 7 -2 2 3 4 3 3 -2 5 5 4 0 10 -8 -4 9
  2 -2 -2 3 -6 2 4 -5 10 -5 -10 14 -3 1 1 -2 5 -7 -1 10 7 -4 -1 8 10 -5 -5 14 2 -10 -1 7
  0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 -1 0 0 0 -1 0 0 0 -1 0 0 -1 -1 0 -1
  0 0 0 0 0 0 0 0 1 1 0 0 0 -1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 2 -1 -1 1
  0 0 0 0 0 0 0 0 -1 1 2 -2 1 -1 -1 1 -1 1 1 -2 -1 1 1 -2 -1 1 1 -2 -1 2 1 -3
  0 0 0 0 0 0 0 0 0 1 1 0 0 -1 0 0 0 1 1 -1 0 1 1 -1 0 1 1 -1 1 1 1 -1
  0 0 0 1 0 -1 -1 1 1 1 0 1 0 0 0 0 2 0 1 1 1 0 0 0 1 1 2 -1 3 -1 -1 2
  -1 0 1 -1 1 -1 0 1 -2 1 1 -1 0 0 0 0 -2 3 2 -3 0 1 0 0 -2 3 1 -3 0 2 1 0
  0 -1 -1 1 0 0 0 -1 1 -2 -1 3 0 0 0 0 -1 -1 1 1 0 0 1 0 -1 0 1 1 0 -1 2 0
  -1 0 0 -1 0 0 1 -1 -1 -1 -1 1 0 0 0 0 -2 1 0 0 0 0 0 1 -1 1 -1 1 -1 0 1 1
  1 0 0 0 -2 2 1 -4 -1 -2 0 2 0 0 0 -1 -2 1 1 -3 -2 1 2 -1 -2 1 0 2 -3 2 2 -3
  0 1 0 0 1 -1 -3 2 0 -1 2 -2 1 0 -1 1 1 -1 -2 1 -2 0 1 -3 -3 -2 2 -2 -1 -1 -1 -1
  0 0 1 0 1 2 0 0 -2 0 -1 -2 0 1 1 -1 0 2 0 -1 -1 0 -2 1 1 -3 -5 4 0 1 -2 1
  0 0 0 1 3 -1 -2 3 -2 2 2 -5 1 0 0 1 2 0 -1 1 -1 1 -1 -2 -2 -1 -1 -3 1 0 -2 0
  -1 0 1 -1 0 0 -1 -1 0 -2 2 3 0 0 0 -1 -4 3 4 -5 -2 2 3 -2 -3 1 4 -2 -1 3 5 -5
  0 0 0 -1 2 -1 -2 3 -3 2 5 -7 1 0 -1 1 -2 0 -1 -3 -3 1 1 -4 -3 1 2 -6 -3 4 0 -5
  -1 1 0 -1 1 1 1 -1 -4 -1 -1 -1 0 1 1 -1 -1 2 -2 1 -1 0 -2 2 -3 1 -2 0 -2 2 1 1
  0 1 0 -1 2 -1 0 2 -5 4 2 -7 1 0 0 1 1 1 -3 0 -1 1 -2 -1 -2 3 -1 -4 0 2 -3 2
  0 0 1 -1 1 0 -2 1 0 -1 4 -3 1 -1 -2 2 -3 0 2 -5 -3 0 2 -3 -2 -2 2 -3 -3 3 2 -8
  0 1 0 -1 1 -1 -1 3 0 4 1 -5 1 -1 0 2 3 -1 -3 1 1 -1 -1 -1 3 0 -1 -1 3 -1 -6 4
  -1 1 1 -1 2 -1 0 1 -5 4 4 -5 1 -1 0 0 -2 5 2 -5 -2 3 0 -3 -4 5 3 -7 1 5 2 -2
  0 1 0 0 1 -2 0 2 -1 5 1 -2 0 -1 1 0 3 2 0 0 1 2 0 -2 1 4 2 -3 6 -1 -3 6
  32 32
  -2 0 1 -2 3 -2 -1 2 -3 5 6 -6 0 -1 0 1 -3 3 1 -6 -1 3 1 -3 -4 6 5 -12 2 5 2 -5
  1 -1 -1 0 1 2 1 0 -5 3 0 -6 0 0 1 -1 2 -2 -5 4 -1 0 -2 1 1 1 -7 2 -2 4 -3 1
  -1 2 0 -2 -1 0 3 -2 -1 1 -2 4 -1 0 0 -1 2 3 0 0 2 0 -1 3 1 6 2 0 3 0 2 5
  1 1 0 -1 -1 1 2 0 0 1 -5 2 -1 1 1 -2 5 -2 -3 5 2 -2 -3 4 7 -1 -6 9 3 -3 -5 10
  -1 1 0 -2 -2 3 1 -3 -2 4 4 -6 -1 1 1 -3 -1 2 -3 -4 -1 1 1 -2 2 3 -1 -3 -1 6 -2 -5
  1 -1 -2 2 -1 -1 -2 1 -2 2 -2 -2 1 0 -2 1 5 -4 -7 10 0 0 -1 0 1 1 -4 5 1 -3 -7 9
  1 1 0 0 2 0 -2 3 0 2 0 2 0 2 1 -1 5 2 1 0 0 1 0 0 4 0 2 3 8 -1 -2 7
  2 -1 -1 2 2 -2 -3 3 2 0 -4 4 2 0 -1 2 7 -5 -2 8 1 0 -1 1 4 -4 -3 9 7 -8 -6 12
  -1 2 0 -2 3 1 2 -2 -9 3 6 -7 -1 1 3 -3 -3 6 0 -7 -4 4 1 -3 -9 9 4 -13 -3 10 6 -8
  0 -1 -2 2 -1 5 0 -2 -2 -3 -1 -5 -1 2 0 -3 1 -3 -7 7 -2 -3 -2 1 0 -5 -9 5 -8 3 -2 -4
  2 0 -1 2 -1 1 4 0 -3 4 -5 -1 -2 2 1 -1 6 1 -2 5 3 -1 -5 5 5 4 -5 5 4 -2 -5 12
  2 -2 -2 3 0 1 -1 4 1 3 -3 -5 0 2 -1 0 7 -6 -6 10 2 -3 -4 2 9 -5 -9 9 2 -4 -10 9
  0 0 0 0 2 -1 -1 1 -1 0 1 0 1 0 0 1 0 0 1 -1 -1 1 1 -1 -2 1 2 -2 1 0 1 0
  0 0 0 0 1 1 0 1 -1 0 1 -2 -1 1 1 -1 0 1 0 -1 -1 0 0 -1 -1 0 0 -2 -1 2 1 -2
  0 0 0 0 0 0 2 -1 -1 0 -1 0 0 -1 0 1 -1 1 1 -1 0 0 -1 1 -1 1 -1 0 -1 0 1 0
  0 0 0 0 0 0 1 1 -1 1 0 -2 -1 0 0 0 0 1 0 0 0 0 -1 0 0 1 -1 -1 -1 1 0 0
  0 0 0 1 -1 0 0 -1 3 -4 -1 4 0 0 0 0 -2 0 3 -1 0 -1 1 0 -1 -3 2 1 -2 -2 3 -3
  -1 0 1 -1 1 -1 -1 1 1 2 3 -2 0 0 0 0 -2 1 2 -5 0 1 1 -2 0 1 3 -5 2 1 0 -3
  0 -1 -1 1 0 1 0 -1 -3 0 3 -4 0 0 0 0 -3 1 -1 -1 -2 1 1 -2 -5 2 1 -5 -5 5 3 -7
  -1 0 0 -1 1 0 0 0 -3 3 4 -4 0 0 0 0 -2 3 0 -4 -1 2 1 -2 -3 5 3 -7 0 5 2 -4
  1 0 0 0 -3 0 0 -1 4 0 -2 2 0 -1 -1 1 2 -3 -2 2 2 -2 0 1 4 -2 -1 4 1 -4 -4 3
  0 1 0 0 1 -3 -1 1 0 2 0 2 1 -1 0 1 3 0 0 2 1 2 1 -1 -1 3 3 -2 5 -3 -1 5
  0 0 1 0 0 1 -2 -1 2 -2 2 2 0 0 0 -1 -1 1 3 -4 -2 1 3 -3 -1 -2 2 0 0 1 2 -5
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• PROPERTIES
  Modular=1
  UnimodularHermitian=1
  

• REFERENCES
  Bachoc, Nebe: Classification of two genera of 32-dimensional lattices
  over the Hurwitz order
  

• NOTES
  

• LAST_LINE
  
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe