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 13:23:02 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
  C2 x S3 x PGL(2,11)
  

• DIMENSION
  20
  

• GRAM
  20
  8 4 2 1 -4 -2 -4 -2 -4 -2 -4 -2 -4 -2 -4
  -2 -4 -2 2 1
  4 8 1 2 -2 -4 -2 -4 -2 -4 -2 -4 -2 -4 -2
  -4 -2 -4 1 2
  2 1 8 4 0 0 2 1 2 1 2 1 0 0 2
  1 2 1 4 2
  1 2 4 8 0 0 1 2 1 2 1 2 0 0 1
  2 1 2 2 4
  -4 -2 0 0 8 4 2 1 4 2 4 2 2 1 4
  2 0 0 2 1
  -2 -4 0 0 4 8 1 2 2 4 2 4 1 2 2
  4 0 0 1 2
  -4 -2 2 1 2 1 8 4 2 1 4 2 4 2 4
  2 2 1 -2 -1
  -2 -4 1 2 1 2 4 8 1 2 2 4 2 4 2
  4 1 2 -1 -2
  -4 -2 2 1 4 2 2 1 8 4 2 1 0 0 4
  2 2 1 0 0
  -2 -4 1 2 2 4 1 2 4 8 1 2 0 0 2
  4 1 2 0 0
  -4 -2 2 1 4 2 4 2 2 1 8 4 4 2 2
  1 2 1 0 0
  -2 -4 1 2 2 4 2 4 1 2 4 8 2 4 1
  2 1 2 0 0
  -4 -2 0 0 2 1 4 2 0 0 4 2 8 4 0
  0 4 2 0 0
  -2 -4 0 0 1 2 2 4 0 0 2 4 4 8 0
  0 2 4 0 0
  -4 -2 2 1 4 2 4 2 4 2 2 1 0 0 8
  4 2 1 0 0
  -2 -4 1 2 2 4 2 4 2 4 1 2 0 0 4
  8 1 2 0 0
  -4 -2 2 1 0 0 2 1 2 1 2 1 4 2 2
  1 8 4 0 0
  -2 -4 1 2 0 0 1 2 1 2 1 2 2 4 1
  2 4 8 0 0
  2 1 4 2 2 1 -2 -1 0 0 0 0 0 0 0
  0 0 0 8 4
  1 2 2 4 1 2 -1 -2 0 0 0 0 0 0 0
  0 0 0 4 8
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 3 3 3 3 33 33 33 33 33 33
  

• MINIMAL_NORM
  8
  

• KISSING_NUMBER
  660
  

• GROUP_ORDER
  15840
  

• GROUP_NAME
  C2 x S3 x PGL(211)
  

• GROUP_GENERATORS
  3
  20
  -2 0 1 0 0 0 0 0 -1 0 0 0 -1 0 -1
  0 0 0 0 0
  -2 2 1 -1 0 0 0 0 -1 1 0 0 -1 1 -1
  1 0 0 0 0
  0 0 0 0 1 0 0 0 -1 0 0 0 -1 0 0
  0 1 0 0 0
  0 0 0 0 1 -1 0 0 -1 1 0 0 -1 1 0
  0 1 -1 0 0
  0 0 0 0 0 0 -1 0 0 0 0 0 1 0 1
  0 -1 0 0 0
  0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 1
  -1 -1 1 0 0
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0
  1 -1 0 0 0 0 0 0 0 0 0 0 0 0 1
  -1 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0
  0 0 0 0 0
  0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0
  0 0 0 0 0
  1 0 0 0 0 0 -1 0 0 0 0 0 1 0 1
  0 0 0 0 0
  1 -1 0 0 0 0 -1 1 0 0 0 0 1 -1 1
  -1 0 0 0 0
  1 0 0 0 0 0 0 0 0 0 0 0 1 0 1
  0 0 0 0 0
  1 -1 0 0 0 0 0 0 0 0 0 0 1 -1 1
  -1 0 0 0 0
  1 0 -1 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0
  1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 1
  -1 0 0 0 0
  2 0 -1 0 1 0 1 0 0 0 0 0 0 0 0
  0 1 0 0 0
  2 -2 -1 1 1 -1 1 -1 0 0 0 0 0 0 0
  0 1 -1 0 0
  -1 0 1 0 1 0 -1 0 -1 0 0 0 0 0 0
  0 0 0 -1 0
  -1 1 1 -1 1 -1 -1 1 -1 1 0 0 0 0 0
  0 0 0 -1 1
  20
  0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 0
  -1 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 -1 0 0 0 -1 0
  0 0 0 0 0
  -1 0 0 0 0 0 0 0 -1 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
  0 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 0 0 0 0 0 1 0 0 0 0 0 -1 0
  -1 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0 -1 0 -1
  0 0 0 0 0
  0 0 0 1 0 1 0 0 0 -1 0 -1 0 0 0
  0 0 0 0 -1
  0 0 1 0 1 0 0 0 -1 0 -1 0 0 0 0
  0 0 0 -1 0
  0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0
  0 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0
  0 0 0 0 0
  0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0
  -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0
  0 -1 0 0 0
  0 1 0 -1 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 0 0
  1 0 -1 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 -1 0 1 0 0 0 0 0 -1 0 0 0 0 0
  0 0 -1 0 0
  -1 0 1 0 0 0 0 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 0 0
  1 0 0 0 1
  0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 1
  0 0 0 1 0
  20
  1 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
  1 0 0 0 0 0 -1 0 0 0 0 0 1 0 1
  0 0 0 -1 0
  0 1 0 0 0 0 0 -1 0 0 0 0 0 1 0
  1 0 0 0 -1
  -1 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 -1 0 0 0 0 0 0 0
  0 0 0 0 0
  -1 0 1 0 0 0 -1 0 0 0 0 0 1 0 0
  0 -1 0 -1 0
  0 -1 0 1 0 0 0 -1 0 0 0 0 0 1 0
  0 0 -1 0 -1
  0 0 0 0 0 0 -1 0 0 0 0 0 1 0 1
  0 0 0 0 0
  0 0 0 0 0 0 0 -1 0 0 0 0 0 1 0
  1 0 0 0 0
  -1 0 1 0 0 0 -1 0 0 0 0 0 0 0 0
  0 0 0 -1 0
  0 -1 0 1 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 -1
  -1 0 1 0 1 0 0 0 0 0 -1 0 0 0 -1
  0 0 0 -1 0
  0 -1 0 1 0 1 0 0 0 0 0 -1 0 0 0
  -1 0 0 0 -1
  -1 0 0 0 -1 0 -1 0 0 0 0 0 1 0 1
  0 -1 0 0 0
  0 -1 0 0 0 -1 0 -1 0 0 0 0 0 1 0
  1 0 -1 0 0
  -1 0 1 0 1 0 0 0 -1 0 -1 0 0 0 0
  0 0 0 -1 0
  0 -1 0 1 0 1 0 0 0 -1 0 -1 0 0 0
  0 0 0 0 -1
  1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0
  0 1 0 -1 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