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 13:22:06 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE

• NAME
  (SL(2,5) Y ((SL(2,3) x C3).C2)).C2
  

• DIMENSION
  16
  

• GRAM
  16
  12 6 -6 -6 -3 1 2 0 -4 4 6 -6 4 -3 4 3
  6 12 -6 -6 -2 3 3 1 -6 6 4 -4 6 -6 2 0
  -6 -6 12 0 1 0 -3 1 6 -6 -2 2 -6 3 2 3
  -6 -6 0 12 3 -2 -1 -3 2 -2 -6 6 -2 3 -2 -3
  -3 -2 1 3 12 -6 -6 -6 4 0 3 6 2 0 0 0
  1 3 0 -2 -6 12 6 6 -6 -3 -1 -2 -3 3 3 3
  2 3 -3 -1 -6 6 12 0 -6 3 -2 -4 -3 -3 3 3
  0 1 1 -3 -6 6 0 12 -2 -3 0 0 -1 3 -3 -3
  -4 -6 6 2 4 -6 -6 -2 12 0 2 2 -3 3 -4 -1
  4 6 -6 -2 0 -3 3 -3 0 12 2 -3 3 -6 0 -2
  6 4 -2 -6 3 -1 -2 0 2 2 12 -3 3 -1 2 1
  -6 -4 2 6 6 -2 -4 0 2 -3 -3 12 2 0 -3 0
  4 6 -6 -2 2 -3 -3 -1 -3 3 3 2 12 -6 -1 0
  -3 -6 3 3 0 3 -3 3 3 -6 -1 0 -6 12 -2 0
  4 2 2 -2 0 3 3 -3 -4 0 2 -3 -1 -2 12 6
  3 0 3 -3 0 3 3 -3 -1 -2 1 0 0 0 6 12
  

• DIVISORS
  1 1 1 1 1 1 1 1 30 30 30 30 30 30 30 30
  

• MINIMAL_NORM
  12
  

• KISSING_NUMBER
  480
  

• GROUP_ORDER
  17280
  

• GROUP_NAME
  (SL(25) Y ((SL(23) x C3).C2)).C2
  

• GROUP_GENERATORS
  3
  16
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0
  0 0 -1 0 0 0 -1 0 0 0 0 0 -1 -1 0 0
  0 0 0 -1 -1 0 0 -1 0 0 0 1 0 1 0 -1
  0 0 0 -1 0 -1 1 0 0 0 0 1 0 1 1 -1
  0 0 -1 0 0 1 0 0 1 -1 0 0 0 -1 0 0
  0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0
  0 0 -1 0 1 1 0 0 1 -1 -1 -1 0 -1 0 0
  0 0 0 0 0 0 -1 0 -1 1 0 0 -1 0 0 0
  0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 1 -1 -1 0 -1 1 0 1 -1 -1 1 0 1 1 -1
  0 0 1 0 0 -1 1 0 -1 0 0 0 1 1 0 0
  0 -1 -1 0 0 1 -1 0 0 0 0 0 -1 -1 0 0
  0 0 0 0 -1 0 0 -1 0 0 1 1 0 0 0 0
  1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  16
  -1 -1 0 0 -1 0 -1 0 -1 1 1 0 0 0 0 0
  -1 0 -1 0 0 0 0 1 1 0 0 0 0 0 1 0
  1 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0
  1 0 1 0 0 1 0 -1 0 0 0 0 0 0 -1 0
  0 -1 0 0 1 1 0 0 0 0 0 -1 0 -1 0 0
  1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 -1
  0 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0
  1 1 1 0 0 -1 1 0 0 0 0 1 0 1 0 -1
  0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
  -1 0 -1 0 -1 0 0 0 1 0 0 0 0 0 1
  0
  -1 -1 0 0 0 0 0 0 -1 1 1 0 0 0 0
  0
  1 0 1 1 1 1 0 0 0 0 0 -1 0 -1 -1
  0
  -1 0 -1 1 0 0 -1 1 0 0 1 -1 -1 -1 0
  1
  1 0 1 -1 0 0 1 -1 0 0 0 1 1 1 0
  -1
  0 -1 0 0 0 1 -1 0 -1 1 0 0 0 0 0
  0
  0 -1 -1 0 0 1 -1 0 0 0 0 0 0 -1 0
  0
  16
  0 -1 -1 -1 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 1 0 0 0 0 0 0 0 0 0 0 0
  0
  -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 1 1 0 0 0 0 0 0 0 0 0
  0
  0 0 0 0 -1 0 0 -1 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 -1 0 -1 -1 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 -1 0 0 0 -1 1 0 0 0 0 -1 -1 0
  1
  1 -1 0 -1 0 1 0 -1 0 0 0 1 0 0 0
  -1
  -1 1 -1 0 0 0 0 0 1 -1 0 0 0 0 1
  0
  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  0
  0 0 1 0 0 0 0 -1 -1 0 0 0 0 0 -1
  0
  0 0 -1 0 0 0 0 0 0 0 0 0 -1 0 0
  0
  0 0 -1 0 0 0 1 0 1 -1 0 0 0 0 0
  0
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe