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 13:11:24 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+i)+Mx_wU5
  

• DIMENSION
  32
  

• KISSING_NUMBER
  1728
  

• GRAM
  32 0
  14
  0 14
  0 0 14
  -7 7 7 14
  7 -3 -1 -6 12
  3 7 -1 2 0 12
  1 1 7 2 0 0 12
  -1 5 5 7 -6 6 6 12
  9 1 5 -1 8 4 6 5 24
  -1 9 1 3 -4 8 8 7 0 24
  -5 -1 9 7 -6 -8 8 5 0 0 24
  -8 6 2 9 -13 1 3 8 -12 12 12 24
  3 1 5 1 1 3 7 8 19 3 1 -6 22
  -1 3 -1 -1 -3 1 7 2 -3 19 3 12 0 22
  -5 1 3 5 -7 -7 1 2 -1 -3 19 10 0 0 22
  -4 4 -2 3 -9 -1 -1 1 -13 7 9 19 -11 11 11 22
  -5 -7 -3 -3 -1 -7 -3 -5 -5 -5 1 -1 -2 0 2 0 8
  7 -5 -1 -5 7 -1 -1 -3 5 -5 -3 -7 0 -2 -4 -4 0 8
  3 1 -5 -7 3 1 -1 -5 -1 3 -5 -3 -2 4 -2 2 0 0 8
  8 0 2 -5 6 2 4 -1 6 2 -2 -5 2 2 -4 -2 -4 4 4 8
  1 1 -1 0 2 2 -2 -1 0 -4 -2 -5 -3 -7 -1 -4 -2 0 0 0 8
  -1 1 1 2 -2 2 0 3 4 0 -4 -3 7 -3 -3 -6 0 -2 -2 -2 0 8
  1 -1 1 0 2 0 2 1 2 4 0 -1 1 3 -3 -4 0 2 -2 0 0 0 8
  -1 -1 1 1 -1 -1 1 2 5 3 1 0 7 3 1 -3 2 0 -2 -2 -4 4 4 8
  2 -2 -2 -2 2 0 -6 -4 -4 -10 -6 -6 -6 -10 -4 -3 0 2 0 0 4 0 -2 -4 8
  2 2 2 2 0 2 0 4 10 -4 0 -4 10 -6 2 -5 -2 0 -2 0 0 4 -2 2 0 8
  2 -2 2 -2 6 0 2 -2 6 0 -4 -10 4 -2 -6 -11 0 2 0 2 2 2 4 2 0 0 8
  0 0 4 2 2 -2 4 2 10 0 6 -4 9 -1 5 -6 0 0 -2 0 0 2 2 4 -4 4 4 8
  0 -2 0 -1 -4 -2 2 3 3 -3 1 -2 7 -3 1 -4 2 -2 -2 -2 0 4 0 2 0 4 0 2 12
  2 0 0 -1 2 -4 2 -3 3 3 1 0 3 7 1 2 2 2 2 2 -4 0 0 2 -4 0 0 2 0 12
  0 0 0 -1 -2 -2 -4 -3 -1 -1 3 0 -1 -1 7 2 2 -2 2 -2 0 0 0 2 0 0 0 2 0 0 12
  1 1 1 0 1 -1 -1 -4 -1 3 3 3 -3 5 5 7 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
  2^15 * 3^6 * 5
  

• HERMITIAN_GROUP_GENERATORS
  4
  32 32
  -1 0 0 -1 3 -1 1 3 0 1 -1 0 -1 1 1 0 0 -1 -1 0 1 -1 -1 2 4 1 0 0 0 1 1 0
  1 -1 -1 1 -3 4 4 -5 0 -1 -1 2 -2 0 1 -2 2 -1 -1 2 0 0 1 0 -1 4 0 0 -2 1 1 -2
  0 1 0 -1 -2 -2 1 1 2 -1 -1 2 0 -1 -2 2 0 1 1 -2 0 -1 0 0 1 -1 3 2 0 -1 -1 2
  1 0 0 0 -4 2 1 -2 1 -2 -1 2 -1 0 -1 -1 1 0 1 0 -1 0 1 -1 0 -1 -1 5 -1 0 -1 0
  0 0 0 0 1 -1 -1 1 2 0 1 0 0 0 -1 1 0 -1 1 -1 0 0 0 0 1 -1 1 -1 0 0 0 0
  0 0 0 0 1 0 0 1 -1 3 1 -2 0 -1 0 1 1 1 0 -1 0 0 0 0 1 2 0 -1 0 0 0 0
  0 0 0 0 0 0 1 -1 -1 0 2 0 1 -1 -1 1 -2 2 2 -3 0 0 0 0 -2 2 3 -3 0 0 0 0
  0 0 0 0 0 0 1 0 -1 1 0 1 0 -1 0 0 0 2 1 -1 0 0 0 0 0 2 1 0 0 0 0 0
  0 0 0 0 1 -1 1 1 2 2 -1 2 -2 -1 0 0 3 0 0 1 0 0 0 0 3 1 0 2 0 0 0 0
  0 0 0 0 -1 2 2 -3 -3 1 1 0 1 -2 0 0 -1 3 1 -1 0 0 0 0 -3 3 2 -2 0 0 0 0
  0 0 0 0 -2 0 1 -1 3 -4 -2 6 -1 1 -1 -2 0 -1 2 1 0 0 0 0 1 -3 0 4 0 0 0 0
  0 0 0 0 -2 2 1 -2 -1 -3 -2 3 0 1 1 -3 -1 0 0 2 0 0 0 0 -2 -1 -1 2 0 0 0 0
  0 0 0 0 0 0 2 -1 0 3 0 0 -1 -2 1 0 2 2 -1 0 0 0 0 0 0 3 1 -2 0 0 0 0
  0 0 0 0 -1 2 1 -3 -3 0 0 0 1 0 1 -2 -1 1 -1 2 0 0 0 0 -2 1 -1 0 0 0 0 0
  0 0 0 0 -2 1 1 -1 3 -3 -3 6 -3 2 1 -4 3 -2 0 4 0 0 0 0 2 -1 -1 4 0 0 0 0
  0 0 0 0 -1 2 0 -1 0 -3 -3 3 -1 3 2 -4 1 -3 -2 5 0 0 0 0 1 -2 -3 4 0 0 0 0
  0 0 0 0 0 0 -1 0 -1 0 0 -2 1 0 0 0 0 -1 -2 2 0 0 0 0 -1 -2 -3 1 0 0 0 0
  0 0 0 0 1 -1 -1 2 2 -1 -2 2 0 1 0 0 1 -2 0 2 0 0 0 0 4 -4 -2 5 0 0 0 0
  0 0 0 0 1 0 0 0 0 2 1 -2 0 0 1 0 1 -1 -1 0 0 0 0 0 1 1 0 -3 0 0 0 0
  0 0 0 0 1 -1 0 1 2 0 0 1 0 0 0 1 0 -1 1 -1 0 0 0 0 2 -1 2 -1 0 0 0 0
  -1 0 1 -1 1 -1 0 1 0 2 1 -1 0 0 -1 1 -1 2 2 -4 0 0 0 0 3 1 -1 1 0 0 0 0
  0 0 0 -1 0 1 1 -1 -2 1 0 -1 0 -1 0 1 0 1 -2 0 0 0 0 0 -1 2 0 1 0 0 0 0
  -1 1 0 -1 -1 0 1 -1 1 -1 -1 3 1 -1 -1 1 0 2 1 0 0 0 0 0 2 -2 1 3 0 0 0 0
  0 1 0 -1 -1 1 1 -1 0 -1 -2 2 0 -1 0 0 2 0 -2 3 0 0 0 0 0 -2 -1 4 0 0 0 0
  0 0 0 0 1 -1 -1 2 1 0 0 -1 0 1 0 1 0 -1 0 -1 0 0 0 0 2 -1 0 0 0 0 0 0
  0 0 0 0 0 0 1 0 1 1 -1 1 -2 0 1 -1 2 0 -1 1 0 0 0 0 1 2 0 0 0 0 0 0
  0 0 0 0 0 -1 0 0 0 1 2 -1 1 -2 -2 3 -1 2 2 -3 0 0 0 0 -1 1 3 -2 0 0 0 0
  0 0 0 0 -1 0 1 -1 1 0 0 2 -1 -1 -1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0
  -1 0 0 0 2 1 1 0 -4 2 2 -4 0 0 1 0 -1 2 -2 0 1 0 -1 2 -2 4 -1 -4 0 1 1 -1
  0 -1 0 0 -2 3 1 -2 0 -2 -2 0 -1 1 1 -2 0 -3 -2 4 -1 0 1 0 1 -3 -5 6 -1 1 0 -1
  0 0 -1 0 0 -1 1 2 0 2 -2 0 -1 0 0 0 4 -2 -3 4 1 -2 -1 2 5 0 -2 4 0 0 0 1
  0 0 0 -1 -1 0 -1 2 2 0 -2 0 -1 1 0 -1 2 -4 -2 3 -1 -1 0 0 5 -5 -4 7 0 0 -1 1
  32 32
  1 0 0 0 1 1 0 0 -4 2 0 -4 1 0 0 0 0 0 -3 1 0 0 0 0 0 -1 -6 5 0 0 0 0
  0 1 0 0 -1 1 0 0 2 -4 -4 4 0 1 0 0 2 -3 -2 5 0 0 0 0 2 -6 -1 7 0 0 0 0
  0 0 1 0 1 -1 0 2 2 2 -2 0 0 0 1 0 3 -1 -1 1 0 0 0 0 5 -4 -4 3 0 0 0 0
  0 0 0 1 0 -1 -1 2 4 -2 -2 2 0 0 0 1 2 -3 0 2 0 0 0 0 1 -5 1 0 0 0 0 0
  0 0 0 0 0 2 1 -2 -3 2 0 -2 0 0 1 -1 1 2 -2 1 0 0 0 0 0 2 -3 2 0 0 0 0
  0 0 0 0 -1 1 -1 0 0 -3 -2 2 0 1 0 -1 -1 -1 -1 3 0 0 0 0 -1 -3 -1 4 0 0 0 0
  0 0 0 0 1 0 0 2 2 0 -3 2 -1 1 1 -1 4 -3 -2 5 0 0 0 0 5 -4 -4 6 0 0 0 0
  0 0 0 0 1 -1 -2 3 2 -2 -2 1 0 1 0 0 1 -4 -2 4 0 0 0 0 1 -5 -2 3 0 0 0 0
  0 0 0 0 1 1 -2 1 -3 1 -1 -3 2 1 -1 0 2 -2 -5 6 0 0 0 0 3 -5 -9 10 0 0 0 0
  0 0 0 0 0 -1 -1 3 3 -4 -4 5 0 1 -1 2 1 -3 1 4 0 0 0 0 4 -6 1 8 0 0 0 0
  0 0 0 0 3 -2 -1 3 2 2 -1 -1 2 -1 1 2 3 -4 -2 2 0 0 0 0 4 -5 -2 0 0 0 0 0
  0 0 0 0 1 -3 -1 3 4 -2 -1 2 1 -2 -1 4 -1 -3 2 -1 0 0 0 0 -1 -4 5 -3 0 0 0 0
  0 0 0 0 0 0 -2 1 0 -1 0 0 1 1 -2 0 1 -2 -2 4 0 0 0 0 2 -4 -4 6 0 0 0 0
  0 0 0 0 1 -2 -1 3 1 0 0 0 1 -1 -2 4 0 -1 2 0 0 0 0 0 2 -2 2 2 0 0 0 0
  0 0 0 0 2 -1 -1 1 -1 1 1 -2 3 -1 0 2 0 -2 -1 0 0 0 0 0 0 -2 0 -2 0 0 0 0
  0 0 0 0 1 -2 0 1 0 1 1 -1 2 -3 -1 4 -2 0 2 -3 0 0 0 0 -2 0 4 -4 0 0 0 0
  0 0 0 0 0 -1 0 0 0 1 3 -1 0 -1 -1 1 -1 2 3 -4 0 0 0 0 -2 4 4 -6 0 0 0 0
  0 0 0 0 1 0 0 0 -3 3 2 -5 1 -1 0 1 -1 2 -1 -2 0 0 0 0 -2 2 -2 -2 0 0 0 0
  0 0 0 0 -1 1 1 -2 -2 0 0 1 0 0 0 -1 -1 2 1 0 0 0 0 0 0 2 0 2 0 0 0 0
  0 0 0 0 0 1 1 -1 -2 2 -1 -1 0 0 1 -1 1 1 -2 2 0 0 0 0 2 0 -4 4 0 0 0 0
  0 0 0 0 -1 2 1 -2 0 -2 -2 3 -1 2 2 -3 1 0 -1 2 1 0 0 0 0 1 0 1 0 0 0 0
  0 0 0 0 -1 0 -1 0 1 -2 1 1 -1 1 -1 -1 -1 0 1 0 0 1 0 0 -2 0 1 -1 0 0 0 0
  0 0 0 0 1 0 -1 2 0 -1 -1 -1 0 1 0 1 1 -2 -1 2 0 0 1 0 1 -2 -2 3 0 0 0 0
  0 0 0 0 1 -1 -2 2 -1 0 2 -3 1 0 -2 2 -1 -1 0 0 0 0 0 1 -1 -1 -1 0 0 0 0 0
  0 0 0 0 -1 1 1 -2 -1 1 1 -1 -1 0 1 -2 -1 2 0 -2 0 0 0 0 -2 3 0 -3 0 0 0 0
  0 0 0 0 0 0 -1 0 -1 0 0 -1 1 0 -1 0 0 -1 -2 2 0 0 0 0 0 -2 -3 3 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 -1 1 -1 2 1 -2 2 0 -1 2 0 0 0 0 3 0 -2 3 0 0 0 0
  0 0 0 0 1 0 -1 1 0 0 -1 0 1 1 0 0 2 -2 -2 3 0 0 0 0 3 -3 -3 4 0 0 0 0
  0 0 0 0 0 0 -1 1 1 -2 0 2 -1 1 -1 -1 0 -1 1 1 0 0 0 0 0 -1 0 2 1 0 0 0
  0 0 0 0 0 -1 0 1 0 1 2 -2 1 -2 -2 3 -1 1 2 -3 0 0 0 0 -1 0 2 -2 0 1 0 0
  0 0 0 0 1 -1 -1 1 -2 0 1 -2 2 0 -1 1 -2 0 0 -1 0 0 0 0 -1 -1 -1 0 0 0 1 0
  0 0 0 0 0 -1 0 0 -2 2 2 -3 2 -2 -1 2 -2 2 1 -3 0 0 0 0 -2 1 1 -3 0 0 0 1
  32 32
  -1 1 1 -2 0 1 1 0 0 -1 0 1 0 1 -1 1 -1 2 1 -3 0 0 0 0 3 0 0 4 0 0 0 0
  0 0 -1 0 -2 1 1 -2 0 0 1 -1 -1 -1 0 1 0 0 -2 1 0 0 0 0 -4 3 4 -4 0 0 0 0
  0 1 0 0 0 -1 -1 2 -1 0 0 -1 2 -2 -2 3 1 1 0 1 0 0 0 0 0 -4 -1 4 0 0 0 0
  1 0 -1 1 -1 0 -1 0 -1 1 1 -2 0 -2 -1 1 2 -1 -2 3 0 0 0 0 -4 0 0 -1 0 0 0 0
  0 0 0 0 0 0 -1 1 0 -1 1 -1 0 1 -2 1 -1 0 1 -1 0 0 0 0 1 -1 -1 3 0 0 0 0
  0 0 0 0 0 -1 0 1 1 1 0 -1 0 -2 -1 3 0 0 0 -1 0 0 0 0 -1 0 2 -1 0 0 0 0
  0 0 0 0 1 -1 -1 1 -2 2 2 -3 3 -2 -2 3 -1 1 0 -1 0 0 0 0 0 -2 -1 1 0 0 0 0
  0 0 0 0 0 -1 0 0 0 2 1 -1 1 -3 -1 2 0 1 0 -1 0 0 0 0 -2 0 1 -2 0 0 0 0
  0 0 0 0 -3 0 0 -2 1 -1 3 0 1 -2 -4 3 -3 3 3 -4 0 0 0 0 -2 0 3 0 0 0 0 0
  0 0 0 0 2 -3 -2 2 -2 4 3 -6 3 -3 -1 5 -2 0 -1 -2 0 0 0 0 -3 1 3 -6 0 0 0 0
  0 0 0 0 0 2 -1 -2 -4 1 2 -2 2 -1 0 -1 0 1 -2 2 0 0 0 0 -3 0 -2 0 0 0 0 0
  0 0 0 0 2 0 0 -1 -3 4 1 -3 1 -2 2 0 1 0 -3 1 0 0 0 0 -3 3 0 -5 0 0 0 0
  0 0 0 0 -3 -1 1 -2 3 -1 1 2 1 -3 -3 3 -2 2 3 -3 0 0 0 0 -1 -2 3 0 0 0 0 0
  0 0 0 0 2 -2 -1 0 -2 4 3 -4 3 -2 0 3 -2 1 0 -3 0 0 0 0 -1 2 3 -6 0 0 0 0
  0 0 0 0 -2 3 0 -4 -2 -1 2 0 0 0 1 -3 -1 1 -1 1 0 0 0 0 -5 2 1 -4 0 0 0 0
  0 0 0 0 1 2 1 -3 -3 2 1 -1 0 0 3 -2 0 1 -2 0 0 0 0 0 -3 5 2 -6 0 0 0 0
  0 0 0 0 0 0 0 -1 1 -1 -1 2 0 1 1 -2 0 -1 0 1 0 0 0 0 1 -1 -1 0 0 0 0 0
  0 0 0 0 1 0 -1 1 0 0 1 0 0 1 -1 0 0 0 1 -1 0 0 0 0 2 0 -1 2 0 0 0 0
  0 0 0 0 0 1 1 -1 0 -1 0 0 0 1 1 0 -1 0 0 -1 0 0 0 0 0 1 2 -2 0 0 0 0
  0 0 0 0 1 0 0 1 -1 0 1 -1 1 0 -1 2 -1 1 1 -2 0 0 0 0 1 0 1 1 0 0 0 0
  0 0 0 0 0 0 -1 2 0 0 0 0 -1 1 0 -1 1 0 0 1 0 0 -1 0 1 0 0 1 0 0 0 0
  0 0 0 0 -1 -1 1 0 0 0 0 0 0 -1 -1 1 -1 1 1 -1 1 -1 -1 2 -1 1 1 -1 0 0 0 0
  0 0 0 0 1 -2 -2 2 0 0 0 0 1 0 -1 1 0 -1 0 1 1 0 0 0 0 -1 0 1 0 0 0 0
  0 0 0 0 -1 -1 0 -1 0 0 0 0 1 -1 -1 1 -1 0 0 0 1 -1 0 1 -1 0 0 0 0 0 0 0
  0 0 0 0 0 1 1 1 1 -2 -3 3 -2 2 1 -2 2 -1 0 2 0 0 0 0 3 -1 -2 5 0 0 0 0
  0 0 0 0 -3 1 2 -3 2 -2 0 3 -1 -1 -1 0 -1 2 2 -2 0 0 0 0 -2 1 3 -1 0 0 0 0
  0 0 0 0 0 -2 -2 3 1 -1 0 -1 1 0 -2 2 -1 -1 1 0 0 0 0 0 1 -4 -1 3 0 0 0 0
  0 0 0 0 -2 0 -1 -1 0 -1 2 -1 1 -1 -2 1 -2 1 1 -1 0 0 0 0 -3 -1 1 -1 0 0 0 0
  -1 0 1 -1 -1 0 1 -2 2 -3 -1 6 0 0 0 -1 -3 3 4 -3 0 1 0 -1 -1 0 4 -1 1 0 0 0
  0 0 0 -1 1 0 -1 0 -2 1 5 -4 1 0 -1 1 -4 1 1 -5 0 0 -1 1 -3 3 3 -7 0 1 0 0
  -1 1 0 -1 -1 2 1 -2 -2 -3 -1 0 0 1 1 -1 -1 0 -3 3 1 0 0 1 -4 1 0 -1 0 0 1 0
  0 1 0 -1 1 1 0 0 -5 2 3 -6 1 0 0 1 -1 1 -3 -1 1 -1 -1 2 -3 4 0 -4 0 0 0 1
  32 32
  0 0 0 0 1 -1 -1 1 -2 3 3 -4 0 0 1 -1 -2 1 0 -2 -1 0 0 0 -1 3 0 -5 0 0 0 0
  0 0 0 0 1 0 0 1 -2 1 -1 -2 0 1 0 -1 1 -2 -2 2 0 -1 0 0 2 -1 -5 5 0 0 0 0
  0 0 0 0 0 0 1 -1 0 1 -1 2 -1 1 1 -1 1 1 -1 0 0 0 -1 0 3 2 1 1 0 0 0 0
  0 0 0 0 0 0 1 0 1 0 -3 2 0 1 0 0 2 -1 -1 1 0 0 0 -1 5 -3 -3 7 0 0 0 0
  0 0 0 0 -1 -1 0 -1 2 0 1 1 -1 0 1 -1 -1 0 1 -1 0 0 0 0 -2 3 4 -7 0 0 0 0
  0 0 0 0 2 -1 -1 1 -2 3 2 -3 0 0 0 -1 0 0 0 -1 0 0 0 0 0 2 -3 -1 0 0 0 0
  0 0 0 0 -1 2 1 -3 -1 -1 1 1 -1 1 0 -1 -1 1 0 -1 0 0 0 0 -1 4 2 -1 0 0 0 0
  0 0 0 0 1 1 1 -1 -2 1 0 0 0 1 0 -1 0 1 0 -1 0 0 0 0 3 1 -3 4 0 0 0 0
  0 0 0 0 -1 1 2 -5 -2 1 2 1 1 0 1 -2 -3 3 1 -3 0 0 0 0 -1 5 2 -5 0 0 0 0
  0 0 0 0 2 1 -3 1 -4 0 3 -5 1 2 -1 0 -1 -2 -2 1 0 0 0 0 -2 1 -3 1 0 0 0 0
  0 0 0 0 -1 4 3 -3 -1 -2 -4 3 -1 2 3 -2 2 0 -3 3 0 0 0 0 3 0 -1 5 0 0 0 0
  0 0 0 0 3 1 -1 3 -3 1 -1 -4 1 1 0 2 2 -2 -3 2 0 0 0 0 3 -3 -5 7 0 0 0 0
  0 0 0 0 -1 1 2 -5 -1 0 2 2 2 -1 -1 0 -3 3 2 -4 0 0 0 0 0 2 2 -2 0 0 0 0
  0 0 0 0 2 1 -3 1 -4 1 4 -6 2 1 -1 2 -1 -1 -2 0 0 0 0 0 -2 2 0 -2 0 0 0 0
  0 0 0 0 -1 4 3 -3 -2 -2 -3 2 0 1 3 -2 1 1 -2 2 0 0 0 0 0 0 0 2 0 0 0 0
  0 0 0 0 3 1 -1 3 -4 2 0 -5 1 0 1 2 2 -1 -3 2 0 0 0 0 0 0 -2 2 0 0 0 0
  0 0 0 0 -1 0 0 0 2 -2 -1 2 1 -1 -1 2 0 0 1 0 0 0 0 0 0 -3 2 1 0 0 0 0
  0 0 0 0 0 -1 0 0 1 1 1 0 0 0 1 0 -1 1 1 -2 0 0 0 0 0 2 3 -5 0 0 0 0
  0 0 0 0 0 0 -1 0 -1 0 2 -2 0 -1 0 0 -1 0 0 0 0 0 0 0 -5 2 2 -5 0 0 0 0
  0 0 0 0 0 0 0 -1 -1 1 2 -1 -1 0 1 -1 -1 1 0 -1 0 0 0 0 -3 5 3 -6 0 0 0 0
  0 0 0 1 -1 0 0 1 1 0 -1 1 -2 1 1 -3 2 0 1 2 0 0 0 0 1 0 -2 1 0 0 0 0
  -1 0 1 -1 -1 -1 1 -1 0 0 0 1 1 -1 -2 1 -3 3 3 -4 0 0 0 0 1 -1 -1 3 0 0 0 0
  0 -1 -1 1 0 -1 -2 1 1 -1 0 1 0 2 0 -1 -1 -2 0 2 0 0 0 0 2 -1 0 1 0 0 0 0
  -1 0 0 -1 -1 0 0 -2 0 -1 0 1 2 0 -1 1 -3 1 0 -1 0 0 0 0 1 -2 0 2 0 0 0 0
  0 0 0 0 0 -2 0 2 2 1 -1 1 -1 -1 0 0 1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0
  0 0 0 0 0 0 2 -2 -1 1 0 1 1 -1 0 0 -1 2 1 -2 0 0 0 0 1 1 0 0 0 0 0 0
  0 0 0 0 -2 0 0 -2 2 -2 0 3 -1 1 0 -2 -1 0 1 0 0 0 0 0 -1 1 2 -2 0 0 0 0
  0 0 0 0 -2 2 2 -4 0 -2 -1 3 0 1 1 -2 -1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0
  0 0 0 0 0 0 -1 1 -1 0 2 0 1 -1 -2 1 -2 2 3 -3 -1 0 0 0 1 -1 1 2 1 0 -1 1
  0 0 0 0 0 -1 0 1 -2 1 2 -4 2 -1 -1 3 -2 1 0 -3 0 -1 0 0 -2 2 3 -4 0 0 0 1
  0 0 0 0 1 -1 -1 1 -2 0 -1 0 1 0 1 -1 -1 1 -1 1 0 0 -1 0 -2 -1 0 0 1 -1 0 1
  0 0 0 0 0 -1 0 0 -2 2 0 -3 1 -1 1 1 0 1 -2 0 0 0 0 -1 -3 2 1 -3 0 -1 0 1
  

• HERMITIAN_STRUCTURE
  4
  32 32
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  32 32
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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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
  
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe