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 13:23:07 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
  M20,3
  

• DIMENSION
  20
  

• GRAM
  20
  8 3 2 3 3 2 4 1 3 2 3 4 4 3 2 0 3 4 4
  4
  3 8 4 4 4 3 2 4 3 3 2 2 3 1 4 4 2 2 2
  4
  2 4 8 2 1 4 1 4 4 1 3 2 4 0 4 3 2 3 4
  2
  3 4 2 8 3 4 2 3 3 4 2 4 2 4 2 3 2 1 4
  2
  3 4 1 3 8 2 4 3 3 4 1 2 2 3 2 3 3 1 2
  3
  2 3 4 4 2 8 1 4 2 1 4 3 3 2 3 4 2 4 3
  2
  4 2 1 2 4 1 8 2 4 3 2 4 3 3 1 1 3 4 0
  3
  1 4 4 3 3 4 2 8 4 4 2 2 3 2 3 3 1 4 1
  0
  3 3 4 3 3 2 4 4 8 2 2 4 4 1 3 1 2 2 3
  0
  2 3 1 4 4 1 3 4 2 8 1 2 2 4 1 4 4 1 1
  1
  3 2 3 2 1 4 2 2 2 1 8 4 4 2 4 3 2 4 2
  3
  4 2 2 4 2 3 4 2 4 2 4 8 4 3 3 0 3 4 2
  2
  4 3 4 2 2 3 3 3 4 2 4 4 8 1 1 1 4 4 2
  2
  3 1 0 4 3 2 3 2 1 4 2 3 1 8 0 1 3 1 0
  3
  2 4 4 2 2 3 1 3 3 1 4 3 1 0 8 2 0 4 3
  1
  0 4 3 3 3 4 1 3 1 4 3 0 1 1 2 8 4 0 2
  2
  3 2 2 2 3 2 3 1 2 4 2 3 4 3 0 4 8 1 2
  2
  4 2 3 1 1 4 4 4 2 1 4 4 4 1 4 0 1 8 1
  2
  4 2 4 4 2 3 0 1 3 1 2 2 2 0 3 2 2 1 8
  0
  4 4 2 2 3 2 3 0 0 1 3 2 2 3 1 2 2 2 0
  8
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 1 19 19 19 19 19 19 57
  

• MINIMAL_NORM
  8
  

• KISSING_NUMBER
  2280
  

• GROUP_ORDER
  13680
  

• GROUP_NAME
  C2 x PGL(219)
  

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

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe