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 13:22:36 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
  A2xH4
  

• DIMENSION
  16
  

• GRAM
  16
  8 -4 2 -1 4 -2 4 -2 4 -2 4 -2 4 -2 -4 2
  -4 8 -1 2 -2 4 -2 4 -2 4 -2 4 -2 4 2 -4
  2 -1 8 -4 2 -1 0 0 4 -2 4 -2 -2 1 2 -1
  -1 2 -4 8 -1 2 0 0 -2 4 -2 4 1 -2 -1 2
  4 -2 2 -1 8 -4 0 0 4 -2 2 -1 4 -2 -4 2
  -2 4 -1 2 -4 8 0 0 -2 4 -1 2 -2 4 2 -4
  4 -2 0 0 0 0 8 -4 0 0 4 -2 2 -1 -4 2
  -2 4 0 0 0 0 -4 8 0 0 -2 4 -1 2 2 -4
  4 -2 4 -2 4 -2 0 0 8 -4 4 -2 0 0 -2 1
  -2 4 -2 4 -2 4 0 0 -4 8 -2 4 0 0 1 -2
  4 -2 4 -2 2 -1 4 -2 4 -2 8 -4 2 -1 -2 1
  -2 4 -2 4 -1 2 -2 4 -2 4 -4 8 -1 2 1 -2
  4 -2 -2 1 4 -2 2 -1 0 0 2 -1 8 -4 -4 2
  -2 4 1 -2 -2 4 -1 2 0 0 -1 2 -4 8 2 -4
  -4 2 2 -1 -4 2 -4 2 -2 1 -2 1 -4 2 8 -4
  2 -4 -1 2 2 -4 2 -4 1 -2 1 -2 2 -4 -4 8
  

• DIVISORS
  1 1 1 1 1 1 1 1 15 15 15 15 15 15 15 15
  

• MINIMAL_NORM
  8
  

• KISSING_NUMBER
  360
  

• GROUP_ORDER
  172800
  

• GROUP_NAME
  S3 x (SL(25) Y SL(25)):(C2 x C2)
  

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

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe