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 13:09:38 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
  A22^(4)
  

• DIMENSION
  22
  

• GRAM
  22
  8 2 0 4 0 1 -1 -3 -1 -2 -3 -2 -3 1 -2
  -1 -1 -2 -1 0 -1 -1
  2 8 4 4 -2 1 -3 1 1 -4 0 2 -1 1 0
  1 0 -1 -1 -2 -1 2
  0 4 8 4 -2 -3 -1 -1 -2 -3 -1 -2 -1 1 -2
  -1 -4 -2 -1 -4 -1 1
  4 4 4 8 -3 0 -2 -2 -2 -2 -2 -2 0 2 -4
  -2 -4 -4 -1 -3 -1 -1
  0 -2 -2 -3 8 3 1 3 1 -1 -3 1 -3 1 1
  -1 0 3 0 3 -1 0
  1 1 -3 0 3 8 0 3 4 1 -1 3 1 1 3
  2 2 -1 1 1 0 0
  -1 -3 -1 -2 1 0 8 -2 1 2 1 -1 0 -2 1
  0 -2 0 4 3 2 1
  -3 1 -1 -2 3 3 -2 8 1 1 -1 3 0 1 3
  1 2 2 -2 -1 -1 0
  -1 1 -2 -2 1 4 1 1 8 1 2 2 -1 -1 3
  2 1 1 2 1 3 2
  -2 -4 -3 -2 -1 1 2 1 1 8 3 -2 3 1 1
  0 1 -1 0 -1 3 -1
  -3 0 -1 -2 -3 -1 1 -1 2 3 8 0 3 0 2
  1 4 1 2 2 4 1
  -2 2 -2 -2 1 3 -1 3 2 -2 0 8 2 1 4
  2 3 2 1 2 -2 2
  -3 -1 -1 0 -3 1 0 0 -1 3 3 2 8 1 0
  2 2 -1 2 1 0 -1
  1 1 1 2 1 1 -2 1 -1 1 0 1 1 8 0
  1 1 0 -1 0 0 4
  -2 0 -2 -4 1 3 1 3 3 1 2 4 0 0 8
  4 4 3 3 1 2 1
  -1 1 -1 -2 -1 2 0 1 2 0 1 2 2 1 4
  8 4 1 4 2 2 2
  -1 0 -4 -4 0 2 -2 2 1 1 4 3 2 1 4
  4 8 2 1 3 1 1
  -2 -1 -2 -4 3 -1 0 2 1 -1 1 2 -1 0 3
  1 2 8 1 2 0 0
  -1 -1 -1 -1 0 1 4 -2 2 0 2 1 2 -1 3
  4 1 1 8 4 2 0
  0 -2 -4 -3 3 1 3 -1 1 -1 2 2 1 0 1
  2 3 2 4 8 2 1
  -1 -1 -1 -1 -1 0 2 -1 3 3 4 -2 0 0 2
  2 1 0 2 2 8 0
  -1 2 1 -1 0 0 1 0 2 -1 1 2 -1 4 1
  2 1 0 0 1 0 8
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 23 23 23 23 23 23 23
  

• MINIMAL_NORM
  8
  

• KISSING_NUMBER
  4048
  

• GROUP_ORDER
  24288
  

• GROUP_NAME
  C2 x PGL(223)
  

• GROUP_GENERATORS
  2
  22
  0 0 0 -2 -1 1 0 0 0 -1 0 0 0 1 0
  0 -1 0 0 0 0 -1
  0 1 0 -4 -3 2 0 0 -1 -1 -1 0 -1 2 -1
  -1 -1 0 1 0 1 -1
  0 1 1 -3 -3 2 -1 0 -1 1 -2 0 -1 1 -1
  -2 0 1 2 1 1 0
  0 0 1 -3 -3 3 -1 0 -1 0 -1 0 -1 1 -1
  -1 -1 1 1 1 1 0
  -1 0 1 2 1 -1 0 -1 1 2 -1 0 0 -1 1
  0 1 0 -1 1 -1 0
  -1 -1 1 2 1 0 0 -1 0 1 0 1 -1 -1 0
  1 1 0 -1 0 0 0
  -1 0 -1 3 2 -3 1 0 2 0 -1 -1 1 0 2
  0 2 -1 -1 0 -1 0
  0 0 1 2 2 -1 0 -1 0 2 0 1 0 -2 0
  1 1 0 -1 0 0 1
  -1 0 0 0 -1 1 0 0 -1 0 0 0 -1 0 0
  0 0 0 0 0 0 0
  0 -1 0 3 2 -1 0 0 0 1 1 1 0 -2 0
  1 1 0 -1 0 0 1
  0 0 -2 2 2 -2 1 0 0 -1 1 0 1 0 1
  1 0 -1 -1 -1 0 0
  0 0 -1 0 1 -1 0 0 0 -1 1 0 0 0 0
  1 -1 -1 0 -1 0 0
  0 -1 0 1 0 0 0 0 0 0 1 1 -1 0 -1
  1 0 0 0 0 0 0
  1 -1 0 -1 0 1 -1 0 -1 0 1 1 0 -1 -1
  0 -1 0 1 -1 1 1
  1 -1 -1 3 4 -3 0 0 0 0 2 1 1 -2 1
  2 0 -1 -1 -2 0 1
  2 -2 0 0 1 0 0 1 -1 -1 2 2 0 -1 -2
  1 0 0 1 -3 1 1
  1 -1 -1 2 3 -2 1 0 0 -1 2 1 1 -1 0
  2 0 -1 -1 -2 0 0
  0 1 -2 0 1 -2 1 0 1 -1 1 -1 1 1 1
  1 -1 -1 -1 -1 -1 -1
  1 -2 0 2 1 -1 0 1 0 0 1 1 0 -1 0
  1 0 0 0 -1 0 1
  0 -1 -1 2 2 -2 1 0 1 -1 1 0 1 0 1
  1 0 -1 -1 -1 -1 0
  0 -1 0 2 1 -1 0 0 0 0 0 0 1 -1 1
  0 1 0 -1 0 0 1
  1 0 -1 -3 -1 1 0 1 -1 -2 1 0 0 1 -1
  -1 -1 -1 2 -2 1 0
  22
  0 0 1 -3 -4 3 -1 1 -1 0 0 0 -2 1 -2
  -1 -1 1 2 1 0 0
  1 0 0 -5 -3 4 -1 1 -3 -1 2 1 -2 1 -3
  0 -3 1 2 -1 1 0
  0 0 -1 -2 0 1 0 0 -1 -2 1 0 0 1 -1
  0 -1 0 1 -2 1 0
  1 -1 1 -4 -3 4 -1 1 -2 -1 2 1 -2 1 -3
  0 -2 1 2 -1 1 0
  -1 1 -1 0 0 -1 0 0 1 0 -1 -1 0 1 1
  0 0 -1 0 1 -1 -1
  0 0 0 -2 -2 2 0 1 -1 0 1 1 -2 1 -2
  0 -1 0 1 0 0 -1
  -1 -1 1 3 1 -1 0 -1 1 1 -1 0 0 -1 1
  0 2 0 -1 1 -1 0
  0 1 -1 -1 0 0 0 0 0 0 0 0 0 1 0
  0 -1 0 0 0 0 -1
  0 0 0 1 1 0 0 0 -1 1 1 1 -1 -1 -1
  1 0 0 0 0 0 0
  -1 0 0 4 2 -2 1 -1 2 1 -1 -1 1 -1 2
  0 2 0 -2 1 -1 0
  0 0 0 2 2 -1 0 -1 0 1 0 0 1 -2 1
  0 1 0 -1 0 0 1
  0 0 0 1 1 -1 0 0 0 1 0 1 0 -1 0
  1 0 0 -1 0 0 0
  0 -1 0 4 3 -2 1 -1 1 1 0 1 1 -2 1
  1 2 0 -2 -1 0 1
  -2 1 0 0 -1 0 0 -1 1 1 -1 -1 -1 1 1
  0 0 0 -1 2 -1 -1
  0 0 0 1 1 -1 0 0 0 1 0 1 0 -1 0
  0 0 0 0 0 0 0
  0 0 0 -1 -1 0 1 0 0 0 0 1 -1 1 -1
  0 0 0 0 0 0 -1
  0 1 0 -1 -1 0 0 0 0 1 -1 0 0 0 0
  -1 0 0 0 1 0 0
  0 1 -1 2 3 -3 0 -1 1 1 0 0 1 -1 2
  1 0 -1 -1 0 -1 0
  1 -2 1 2 2 -1 0 0 0 1 1 2 0 -2 -1
  1 1 0 0 -1 0 1
  -1 0 1 2 0 -1 0 -1 1 2 -2 0 0 -1 1
  0 2 0 -1 2 -1 0
  -1 0 2 1 -1 1 0 -1 0 2 -2 0 -1 -1 0
  -1 2 1 0 2 0 0
  -2 1 0 0 -1 0 0 -1 0 1 -1 -1 -1 1 1
  0 0 0 -1 2 -1 -1
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe