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 13:11:14 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DIVISORS
GRAM
MINIMAL_NORM
HERMITE_NUMBER
KISSING_NUMBER
HERMITIAN_GROUP_NAME
HERMITIAN_GROUP_ORDER
HERMITIAN_GROUP_GENERATORS
HERMITIAN_STRUCTURE
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  LL28
  

• DIMENSION
  28
  

• DIVISORS
  2^2
  

• GRAM
  28 0
  4
  -2 4
  -2 2 4
  -2 0 1 4
  -1 2 0 1 4
  1 1 -1 0 2 4
  -1 -1 0 0 0 -2 4
  1 -2 -1 -1 -1 0 0 4
  -2 1 0 2 1 0 0 -2 4
  -1 -1 1 2 0 0 0 1 1 4
  1 1 -1 -1 0 2 -1 -1 0 -1 4
  -1 1 1 1 0 -1 -1 0 1 1 -1 4
  1 1 -1 -2 0 0 -1 0 0 -2 1 0 4
  -1 0 1 2 0 0 -1 -1 2 2 0 0 -1 4
  -2 2 2 0 0 0 0 -1 0 0 1 0 -1 0 4
  -1 -1 -1 0 0 0 2 1 0 0 0 -2 -1 0 0 4
  1 -2 0 -1 -2 -2 2 1 -1 0 -1 -1 0 -1 -1 1 4
  -2 1 2 1 0 -1 1 0 0 1 0 0 0 1 1 1 0 4
  0 0 1 -1 0 0 1 0 0 1 0 -1 -1 1 1 1 1 0 4
  0 -1 1 1 0 -1 1 1 0 1 -2 0 0 0 -1 0 2 1 0 4
  0 0 -1 1 1 0 0 0 0 -1 0 1 0 -1 0 0 -1 0 -2 0 4
  -1 2 0 -1 0 0 0 -1 0 -2 1 0 1 -1 1 0 -1 0 -1 -2 0 4
  -2 2 0 1 2 1 -1 0 1 0 0 1 0 0 1 0 -2 0 -1 -1 1 1 4
  -2 0 2 2 0 -1 1 0 0 1 -1 0 -2 1 1 1 0 2 0 1 0 -1 0 4
  -2 1 2 1 0 0 1 0 1 1 0 0 -1 1 1 1 0 2 1 1 -1 0 0 2 4
  -2 2 1 1 2 0 0 -1 2 0 -1 1 0 1 0 0 -1 0 0 0 0 1 2 0 1 4
  1 1 -1 -2 0 0 -1 0 -1 -2 1 1 2 -2 0 -1 0 -1 -1 -1 1 1 1 -2 -2 0 4
  0 1 -1 0 1 1 0 -2 2 -1 2 -1 1 1 0 0 -1 0 0 -1 0 1 0 -1 0 1 0 4
  

• MINIMAL_NORM
  4
  

• HERMITE_NUMBER
  3.80678
  

• KISSING_NUMBER
  98280
  

• HERMITIAN_GROUP_NAME
  2.J2
  

• HERMITIAN_GROUP_ORDER
  2^8 * 3^3 * 5^2 * 7
  

• HERMITIAN_GROUP_GENERATORS
  2
  28 28
  0 -2 1 -1 1 2 1 0 0 0 -1 1 1 1 1 0 1 0 -1 -1 0 0 0 0 0 0 0 0
  3 3 -1 1 0 -2 0 1 1 0 0 0 -1 0 1 1 0 0 -1 0 -1 0 0 0 0 0 0 0
  2 3 -1 1 -2 0 1 -1 -1 2 -1 0 1 0 0 1 0 -1 0 0 0 0 1 1 0 0 0 1
  -4 -3 1 0 0 0 -1 0 0 -2 2 0 -1 -1 -2 -1 -1 1 2 1 0 0 0 -1 -1 0 0 0
  -1 -1 0 0 2 -2 -2 1 1 -2 1 0 -2 -1 0 0 0 1 0 0 -1 0 -1 -1 0 0 0 0
  0 -1 0 0 2 0 0 1 1 -2 0 1 -1 1 1 0 1 1 -1 -1 -1 0 -1 -1 0 0 0 -1
  -1 -2 1 0 1 -1 -2 0 1 -1 1 -1 -1 -2 -1 -1 0 1 1 0 0 0 0 0 0 0 0 0
  -1 0 0 -1 -1 2 1 -1 -1 1 -1 0 1 1 0 0 0 -1 0 0 1 0 0 1 0 0 0 0
  2 -1 1 2 2 -2 -1 1 1 -1 0 0 0 0 1 1 0 0 0 0 -1 1 0 -1 1 -1 1 0
  -1 0 -1 1 -1 1 0 -1 -1 0 -1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
  3 1 -1 1 1 0 1 1 1 -1 -1 1 0 1 2 0 1 1 -1 -1 -1 0 0 0 0 0 0 -1
  -1 1 0 0 -1 -1 -1 1 1 0 1 -1 -1 -1 -1 0 -1 0 1 1 0 0 0 0 -1 0 0 0
  1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 -1 -1 0 0 0 0 0 0 0 0 0
  6 1 0 3 1 -1 1 -1 -1 2 -3 1 3 1 3 3 0 -1 -1 -1 -1 1 1 0 2 -1 1 1
  2 4 -2 1 -2 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  0 -1 0 0 1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
  -1 -2 1 -1 -1 3 1 -2 -2 1 -1 1 2 1 0 0 1 -1 0 0 1 0 1 1 0 0 0 1
  -1 3 -2 1 -2 -1 0 0 -1 0 1 -1 -1 -1 -1 -1 -1 0 1 1 0 -1 0 0 -1 1 -1 0
  7 1 1 2 1 0 1 -1 0 2 -4 1 3 1 3 3 1 -1 -2 -2 -1 1 1 1 2 -1 1 1
  -5 -2 1 -1 -1 2 0 -1 -2 0 1 0 0 0 -2 -1 0 -1 1 1 1 0 0 0 -1 0 0 1
  -4 0 0 -1 0 -1 -1 2 1 -2 2 -1 -3 -1 -2 -2 -1 1 1 1 0 -1 -1 -1 -1 0 0 0
  2 0 0 0 1 -1 0 1 2 -1 1 0 -1 0 1 0 0 1 -1 0 -1 0 0 0 0 0 0 -1
  1 2 -1 0 -1 -1 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0
  -2 1 -1 0 -2 0 0 -1 -1 1 1 -1 0 -1 -2 -1 -1 0 2 1 1 0 0 1 -1 1 0 0
  5 4 0 3 1 -3 0 1 1 1 -1 -1 0 0 1 2 0 -1 -1 -1 -1 0 0 0 1 -1 1 0
  4 -1 1 1 2 -2 -1 -1 0 1 -1 1 1 0 2 3 0 -1 -1 0 -1 1 1 0 2 -1 1 1
  -3 1 -1 -2 -2 1 0 0 -1 0 1 0 -1 0 -1 -1 0 0 0 1 1 -1 0 0 -1 1 -1 0
  0 -4 1 0 3 0 -1 1 2 -3 1 1 -1 0 1 -1 1 2 0 0 -1 1 0 -1 0 0 0 -1
  28 28
  3 2 0 1 1 -2 0 1 1 1 -1 -1 0 0 1 1 0 0 -1 -1 0 0 0 -1 1 -1 0 0
  -2 0 0 0 -2 1 1 0 -1 -1 1 0 0 0 -1 -1 -1 0 1 1 0 -1 0 0 -1 1 0 0
  -6 -1 0 -1 -2 1 -1 0 -1 -1 2 -1 -1 -1 -3 -2 -1 0 2 1 1 -1 -1 0 -1 1 0 0
  -1 -4 2 -1 1 2 0 -1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0
  -2 -3 1 -1 -1 2 1 -1 -1 -1 1 1 0 0 -1 -1 -1 1 1 1 0 0 1 0 -1 1 0 0
  -3 -4 1 -1 0 1 0 0 1 -2 2 0 -1 -1 -1 -2 -1 2 1 1 0 0 0 -1 -1 1 0 -1
  -3 -2 0 -1 1 1 -1 0 0 -2 1 1 -1 0 -1 -1 1 1 1 0 0 0 0 0 -1 0 -1 0
  -3 0 -1 -2 -1 0 -1 0 1 0 2 -1 -2 -1 -2 -2 0 1 1 1 1 0 0 0 -1 1 -1 -1
  3 -2 1 0 1 1 1 -2 -1 1 -2 2 2 1 2 2 0 -1 -1 0 -1 1 1 1 1 -1 1 1
  -4 -2 0 -2 -2 2 0 -2 -1 1 1 0 0 -1 -2 -1 -1 0 1 1 1 0 0 1 -1 1 0 0
  1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  3 5 -1 0 -2 -1 1 0 0 2 -1 -1 0 0 0 1 -1 -1 -1 0 0 -1 0 1 0 0 0 0
  4 3 0 1 0 -2 1 0 -1 2 -1 0 1 1 1 2 0 -2 -1 0 0 0 1 0 1 -1 0 1
  0 -2 0 0 0 1 0 -2 -2 2 -1 1 2 0 1 1 0 -1 0 0 0 1 0 1 1 0 1 1
  -2 2 -1 1 -2 0 0 1 0 -1 1 -1 -1 -1 -1 -1 -1 0 1 1 0 -1 -1 0 -1 1 0 0
  -4 -4 -1 -1 1 1 -2 -1 0 -2 2 1 -1 -1 -1 -2 1 2 2 1 0 1 0 0 -1 1 -1 -1
  -3 -1 -1 -1 0 1 -1 -1 -1 0 0 0 0 0 -1 -1 1 0 1 0 1 0 0 0 0 0 -1 0
  -4 -2 0 -1 -1 1 -1 -1 -1 0 2 0 0 -1 -2 -1 0 0 2 1 1 0 0 1 -1 1 0 0
  -5 0 -2 0 -1 -1 -2 0 -1 -1 2 -1 -2 -2 -2 -2 -1 1 2 1 0 -1 -1 -1 -1 1 -1 0
  -4 -2 0 -2 0 1 -1 -1 -1 0 1 0 -1 0 -2 -1 0 0 1 1 1 0 0 0 0 0 0 0
  7 2 1 2 1 -1 1 1 2 1 -2 0 1 0 2 2 0 0 -1 -1 -1 1 1 1 1 -1 1 0
  3 0 1 1 1 0 1 1 1 -1 -1 1 1 1 2 1 1 0 -1 -1 -1 0 0 0 0 0 0 0
  -1 -1 0 -1 -2 3 2 -1 -1 0 0 1 1 1 0 -1 0 0 0 1 0 0 1 1 -1 1 0 0
  -7 -3 0 -2 0 1 -2 0 0 -2 3 -1 -2 -1 -3 -3 0 1 2 1 1 0 -1 0 -1 1 0 -1
  -6 -5 0 -2 1 1 -2 0 1 -3 3 0 -2 -1 -2 -3 0 2 2 1 0 0 -1 0 -1 1 0 -1
  -2 -5 1 -2 -1 4 1 -2 -1 -1 0 2 1 1 0 -1 0 1 1 1 0 1 1 1 -1 1 0 0
  3 4 -1 1 -2 0 2 0 -1 1 -1 0 1 1 1 1 0 -1 -1 0 0 -1 1 0 0 0 -1 0
  4 -3 2 1 2 1 1 -1 0 0 -2 2 2 1 3 2 1 0 -1 -1 -1 1 1 0 1 -1 1 1
  

• HERMITIAN_STRUCTURE
  4
  28 28
  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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 1
  28 28
  5 3 -1 2 0 -1 1 0 0 2 -2 0 2 1 2 2 0 -1 -1 -1 -1 0 0 1 1 0 1 0
  0 1 1 0 1 -2 -1 2 2 -1 1 -1 -2 -1 -1 0 0 0 0 0 0 0 0 -1 0 -1 0 0
  0 0 1 0 1 0 0 1 1 -1 0 0 -1 0 0 0 0 0 0 0 0 0 0 -1 0 -1 0 0
  -2 2 -1 0 0 -1 -1 1 0 -1 1 -1 -2 -1 -1 -1 0 1 0 0 0 -1 -1 -1 -1 0 -1 0
  1 1 0 1 0 -1 0 1 1 0 0 -1 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
  3 2 0 2 1 -2 0 1 0 1 -1 0 1 0 1 2 0 -1 -1 -1 -1 0 0 0 1 -1 1 1
  -5 -4 0 -2 -1 4 1 -1 -1 -2 1 1 0 1 -1 -3 1 1 1 0 1 0 0 0 -1 1 -1 -1
  2 -2 0 1 0 1 1 -2 -2 2 -2 1 3 1 2 1 0 -1 0 0 0 1 1 1 1 0 1 1
  -1 3 -1 0 0 -2 -1 1 0 0 1 -1 -2 -1 -1 0 0 0 -1 0 0 -1 -1 -1 0 0 -1 0
  0 0 0 0 0 1 1 -1 -2 1 -1 1 1 1 1 1 0 -1 -1 0 0 0 0 0 0 0 0 1
  0 4 0 0 -1 -1 1 1 -1 1 0 0 0 1 -1 1 0 -2 -1 0 0 -1 0 0 0 -1 0 1
  4 4 -1 1 0 -2 0 1 1 1 -1 -1 -1 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0
  2 3 -1 1 0 -3 -1 0 0 2 0 -1 0 -1 0 1 0 -1 0 0 0 0 0 0 1 0 0 0
  -4 1 0 -1 0 -1 -1 1 0 -1 2 -1 -2 -1 -2 -1 -1 0 0 1 0 -1 -1 -1 -1 0 -1 0
  -2 -1 1 -2 -1 2 1 -1 -1 0 0 1 0 1 -1 0 0 -1 0 1 1 0 1 0 0 -1 0 1
  -7 -5 0 -2 -1 3 0 -1 -2 -2 2 1 0 0 -2 -3 0 1 2 1 1 0 0 0 -1 1 -1 0
  0 -2 0 0 1 1 0 -1 -1 0 -1 1 1 1 1 0 1 0 0 -1 0 0 0 0 1 0 0 0
  -5 -2 1 -2 0 1 0 0 -1 -1 2 0 -1 0 -2 -2 0 0 1 1 1 0 0 -1 -1 0 -1 0
  -2 -2 0 -1 0 2 1 0 0 -1 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
  1 0 -1 1 1 0 0 -1 -1 1 -1 0 1 0 1 0 1 0 0 -1 0 0 0 0 1 0 0 0
  -1 4 -2 0 -3 -1 0 0 -1 1 1 -2 -1 -1 -2 -1 -1 0 1 1 1 -1 0 0 -1 1 -1 0
  -4 -2 1 -1 1 -1 -2 2 2 -3 3 -1 -3 -1 -2 -2 0 1 1 1 0 0 -1 -1 -1 0 0 -1
  1 -2 2 0 1 -1 -1 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 1 1 0 0 -1 0 1
  -3 -2 1 -1 -1 3 1 0 0 -1 0 0 0 0 -1 -2 0 1 1 0 1 0 0 0 -1 0 0 0
  -2 -1 1 0 1 0 0 1 0 -1 1 0 -1 0 -1 -1 0 0 0 0 0 0 0 -1 0 -1 0 0
  3 1 1 2 2 -3 -1 2 2 -1 0 -1 -1 -1 1 1 0 0 -1 -1 -1 0 0 -1 1 -1 0 0
  2 0 1 0 0 -1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0
  2 4 0 1 1 -3 0 2 1 0 0 -1 -1 0 0 1 0 -1 -2 -1 -1 -1 -1 -1 1 -1 0 0
  28 28
  0 -3 1 1 2 -1 -1 1 2 -3 1 0 -1 -1 0 -1 0 2 1 -1 -1 0 0 -1 0 0 0 -1
  -2 1 0 -2 -2 2 1 -1 -1 1 0 0 0 1 -1 0 0 -1 0 1 1 0 0 1 -1 0 0 0
  -1 1 -1 -1 -2 2 1 -1 -1 1 -1 0 1 1 0 0 0 -1 0 1 1 0 0 1 0 0 0 0
  1 1 0 0 0 1 1 1 1 0 -1 0 0 1 1 0 0 0 -1 0 0 0 -1 0 0 0 1 0
  -1 0 2 -1 -1 1 1 1 1 -1 1 0 -1 0 -1 0 -1 0 0 1 0 0 0 0 -2 0 0 0
  4 2 1 1 1 -1 1 2 2 -1 -1 0 -1 1 1 1 0 0 -1 -1 -1 0 0 0 0 -1 1 0
  -2 1 -1 0 -2 0 0 0 -1 1 1 -1 0 -1 -1 -1 -1 0 1 1 1 0 0 0 -1 1 -1 0
  7 4 -1 3 1 -4 -1 0 0 2 -2 0 1 -1 2 3 0 -1 -1 -1 -1 0 1 0 2 -1 0 1
  0 2 0 0 0 0 1 1 0 1 0 -1 0 1 0 0 0 -1 -1 0 0 0 -1 0 0 0 1 0
  7 4 0 3 1 -2 1 1 0 2 -3 0 2 1 3 3 0 -2 -2 -1 -1 0 0 0 2 -1 1 1
  -2 2 -2 0 -1 0 0 1 0 -1 1 -1 -2 0 -1 -2 0 1 1 0 0 -1 -1 0 -1 1 0 -1
  3 2 0 0 0 -1 0 -1 0 2 -1 0 1 0 1 2 0 -1 -1 0 0 0 0 0 1 0 0 0
  -2 -1 0 0 0 0 -1 -1 -1 0 1 0 0 -1 -1 0 0 0 1 0 0 0 0 0 0 0 0 0
  -2 -1 0 0 1 1 0 1 0 -1 0 0 0 1 0 -1 1 0 0 0 0 0 -1 0 0 0 1 0
  -3 2 -2 -2 -3 2 1 -1 -2 1 0 0 0 1 -1 -1 0 -1 0 1 1 -1 0 1 -1 1 -1 0
  1 2 -1 1 0 -2 -1 1 0 1 0 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  2 1 -1 2 0 -1 0 0 0 1 -1 -1 1 -1 1 0 0 0 0 -1 0 0 0 0 1 0 0 0
  -1 2 -2 0 -2 1 0 -1 -2 2 -1 0 1 0 0 0 0 -1 1 1 1 0 0 1 0 0 0 1
  0 1 0 1 0 -1 0 1 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
  1 1 -1 1 -1 1 1 0 0 0 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  -4 -1 0 -2 0 -1 -2 1 2 -2 3 -1 -3 -2 -2 -2 -1 2 1 1 0 -1 -1 -1 -2 1 -1 -1
  -1 -3 1 -2 0 2 0 -2 -1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0
  2 5 0 0 -1 -1 1 0 -1 2 -1 0 0 1 0 2 0 -2 -2 0 0 -1 0 0 0 -1 0 1
  -2 1 -2 -1 -3 2 1 -1 -1 1 0 0 0 0 -1 -1 -1 0 1 2 1 0 0 1 -1 1 0 0
  1 5 -3 0 -2 0 1 0 -1 2 -1 -1 0 1 0 0 0 -1 0 1 1 0 0 1 0 0 0 0
  -3 0 1 -2 -1 1 0 0 0 0 1 -1 -1 0 -2 -1 0 0 0 1 1 0 0 0 -1 0 0 0
  -2 0 0 -1 0 -1 -1 -1 -1 0 1 0 -1 -1 -1 0 0 0 0 0 0 -1 0 -1 0 0 -1 0
  -7 -2 0 -2 -1 2 0 1 0 -2 3 -1 -2 0 -3 -4 0 1 2 1 1 0 -1 0 -2 1 0 -1
  28 28
  2 0 0 1 1 -1 0 1 2 -1 0 0 0 0 1 0 0 1 0 -1 -1 0 0 0 0 0 0 -1
  -4 -2 1 -2 -1 2 0 0 0 -1 1 0 -1 0 -2 -1 0 0 1 1 1 0 0 0 -1 0 0 0
  -3 -1 -1 -1 -1 2 0 -1 -1 0 0 0 0 0 -1 -1 0 0 1 1 1 0 0 0 0 0 0 0
  0 3 -1 0 0 -1 0 1 0 0 0 -1 -1 0 0 0 0 0 -1 0 0 -1 -1 -1 0 0 0 0
  0 0 1 0 -1 1 1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
  3 1 1 1 1 -1 1 2 2 -1 -1 0 0 1 1 1 0 0 -1 -1 -1 0 0 0 0 -1 1 0
  -4 -1 -1 -1 -2 2 0 -1 -2 0 1 0 0 0 -1 -2 0 0 1 1 1 0 0 0 -1 1 -1 0
  8 3 -1 3 1 -3 0 -1 0 3 -3 0 2 0 3 3 0 -1 -1 -1 -1 1 1 1 2 -1 1 1
  -2 2 0 0 0 -1 0 1 -1 0 1 -1 -1 0 -1 0 0 -1 -1 0 0 -1 -1 -1 0 0 0 0
  6 4 -1 3 1 -2 1 0 -1 2 -3 0 2 1 3 3 0 -2 -2 -1 -1 0 0 0 2 -1 1 1
  -2 1 0 -1 -1 1 1 1 0 -1 0 0 -1 1 -1 -1 0 0 0 0 0 -1 0 0 -1 0 0 0
  4 4 -1 1 0 -2 0 0 0 2 -1 -1 0 0 1 2 0 -1 -1 0 0 0 0 0 1 0 0 0
  -1 0 0 0 0 -1 -1 0 0 0 1 0 -1 -1 -1 0 0 0 1 0 0 0 0 0 0 0 0 0
  -3 0 0 0 1 -1 -1 1 0 -1 1 -1 -1 -1 -1 -1 0 0 0 0 0 -1 -1 -1 0 0 0 0
  -2 -1 0 -2 -2 3 1 -2 -2 1 -1 1 1 1 -1 0 0 -1 0 1 1 0 1 1 0 0 0 1
  -1 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1
  1 0 -1 1 0 0 0 -1 -1 1 -1 0 1 0 1 0 0 0 0 -1 0 0 0 0 1 0 0 0
  -3 0 -1 -1 -1 1 0 -1 -2 1 0 0 0 0 -1 -1 0 -1 1 1 1 0 0 0 0 0 0 1
  -2 -2 0 0 0 1 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
  1 1 -2 1 0 0 0 -1 -1 1 -1 0 1 0 1 0 1 0 0 -1 0 0 0 0 1 0 0 0
  0 3 -1 -1 -2 -1 0 0 0 1 1 -1 -1 -1 -1 0 -1 0 0 1 0 -1 0 0 -1 1 -1 0
  -4 -3 2 -2 0 1 -1 0 0 -1 2 0 -1 0 -2 -1 0 0 1 1 1 0 0 0 -1 0 0 0
  2 2 1 0 0 -1 0 0 0 1 -1 0 0 0 0 2 0 -1 -1 0 0 0 0 0 0 -1 0 1
  -3 -1 -1 -1 -2 3 1 -1 -1 0 0 0 0 0 -1 -2 0 1 1 1 1 0 0 0 -1 1 0 0
  -4 0 -1 -1 -1 1 0 0 -1 0 1 -1 -1 0 -2 -2 0 0 1 1 1 0 0 0 -1 0 0 0
  -1 -1 2 0 1 -1 -1 1 1 -1 1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 -1 0 -1 0 0
  1 -1 1 -1 0 0 0 -1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 -1 0
  -4 0 1 -1 0 0 0 2 1 -2 2 -1 -2 0 -2 -2 0 0 0 0 0 -1 -1 -1 -1 0 0 -1
  

• PROPERTIES
  Modular=1
  

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

• NOTES
  Called LAMBDA_28 in Bachoc-Nebe
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe