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 13:22:27 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
  ((Sp(4,3) x C3) Y SL(2,3)).C2
  

• DIMENSION
  16
  

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

• DIVISORS
  1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6
  

• MINIMAL_NORM
  6
  

• KISSING_NUMBER
  960
  

• GROUP_ORDER
  3732480
  

• GROUP_NAME
  ((Sp(43) x C3) Y SL(23)).C2
  

• GROUP_GENERATORS
  3
  16
  -1 1 0 1 -1 0 0 1 -1 1 0 0 -1 0 0 0
  -1 0 -1 0 -1 0 0 0 0 1 -1 0 0 0 0 0
  0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 -1 -1 -1 1 0 0 -1 1 0 0 0 0 0 1
  -1 0 -2 -1 -1 1 1 0 -1 0 -1 0 1 -1 1 0
  0 1 -1 0 -1 1 0 0 -1 0 0 0 0 0 0 1
  0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  0 1 0 1 -1 0 0 0 0 0 0 0 -1 0 0 0
  1 0 2 0 1 0 -1 0 1 0 1 1 0 0 0 0
  0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  1 0 0 0 0 0 0 -1 0 0 0 0 0 1 -1 1
  0 0 0 0 1 -1 0 0 1 0 0 0 0 0 0 -1
  0 1 1 1 -1 0 -1 1 0 2 0 1 -1 0 -1 0
  0 2 0 1 -1 0 -1 0 0 1 0 0 -1 0 -1 0
  -1 1 -1 0 -1 0 0 0 -1 1 0 -1 0 0 0 0
  0 -1 -1 -1 0 0 1 0 0 0 0 0 1 -1 1 0
  16
  1 0 0 -1 0 1 0 -1 0 0 0 0 0 1 -1 1
  0 0 1 1 0 0 0 1 0 0 1 1 0 -1 0 -1
  -1 -1 -1 0 0 0 1 0 -1 -1 0 0 1 -1 1 -1
  1 0 1 0 0 0 -1 -1 1 0 0 0 0 1 -1 0
  1 1 1 1 0 0 -1 -1 1 0 0 0 -1 1 -1 0
  0 0 -1 0 -1 0 0 -1 0 0 -1 -1 0 1 -1 1
  0 -1 1 1 1 -1 0 0 0 -1 1 0 0 0 0 -1
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1
  0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0
  1 0 2 0 1 0 -1 -1 1 0 0 0 -1 2 -1 0
  -1 0 1 0 0 0 -1 1 0 1 0 0 0 0 0 0
  0 0 1 0 1 0 0 1 1 0 1 1 0 -1 1 -1
  1 0 2 0 1 0 -1 0 1 0 1 1 0 0 -1 -1
  1 0 2 0 1 0 -1 1 1 0 1 1 0 0 -1 0
  0 0 0 -1 0 1 0 0 0 0 0 0 1 0 0 0
  -1 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 -1
  16
  0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
  1 0 -1 0 0 0 0 -1 0 -1 0 -1 0 0 0 0
  1 0 -2 0 0 -1 1 -1 0 -1 0 -1 0 0 0 0
  0 -1 1 -1 1 0 0 0 0 0 0 0 0 1 0 0
  0 0 1 0 0 0 -1 0 0 0 0 0 0 1 -1 0
  0 -1 3 0 2 -1 -1 1 1 0 1 1 0 0 0 -1
  1 0 1 0 2 -1 -1 0 1 -1 1 0 0 0 0 -1
  1 0 2 0 1 0 -1 0 1 0 1 1 -1 0 0 0
  0 0 2 0 1 0 -1 1 0 1 1 1 0 0 0 0
  -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0
  -1 -1 1 0 1 0 0 1 0 0 0 1 1 -1 1 -1
  0 1 -1 0 -1 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 -1 1 0
  0 0 -2 -1 -1 1 1 -1 -1 0 -1 -1 0 0 0 1
  1 0 0 0 0 0 0 -1 0 0 0 0 0 1 -1 0
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe