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 13:22:48 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
  M18,2
  

• DIMENSION
  18
  

• GRAM
  18
  9 1 2 3 3 3 3 0 1 0 1 3 0 3 1
  3 3 2
  1 9 3 3 3 3 3 -1 2 3 1 3 1 2 0
  3 0 1
  2 3 9 1 3 1 3 3 3 1 3 0 3 3 -1
  1 3 1
  3 3 1 9 3 2 0 1 3 3 1 1 3 2 3
  1 3 3
  3 3 3 3 9 3 3 1 3 0 2 -1 3 1 3
  1 2 1
  3 3 1 2 3 9 -1 2 3 0 3 1 0 1 3
  3 1 0
  3 3 3 0 3 -1 9 1 1 3 3 3 3 3 0
  3 0 1
  0 -1 3 1 1 2 1 9 1 3 3 1 3 2 3
  3 3 3
  1 2 3 3 3 3 1 1 9 2 3 0 1 1 1
  -1 -1 -1
  0 3 1 3 0 0 3 3 2 9 3 3 3 3 3
  1 -1 3
  1 1 3 1 2 3 3 3 3 3 9 3 2 3 3
  2 1 -3
  3 3 0 1 -1 1 3 1 0 3 3 9 2 1 2
  2 3 -1
  0 1 3 3 3 0 3 3 1 3 2 2 9 1 1
  -1 3 1
  3 2 3 2 1 1 3 2 1 3 3 1 1 9 1
  3 3 -1
  1 0 -1 3 3 3 0 3 1 3 3 2 1 1 9
  0 3 1
  3 3 1 1 1 3 3 3 -1 1 2 2 -1 3 0
  9 2 0
  3 0 3 3 2 1 0 3 -1 -1 1 3 3 3 3
  2 9 -1
  2 1 1 3 1 0 1 3 -1 3 -3 -1 1 -1 1
  0 -1 9
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 17 17 17 17 17 17 17 17 17
  

• MINIMAL_NORM
  9
  

• KISSING_NUMBER
  272
  

• GROUP_ORDER
  9792
  

• GROUP_NAME
  C2 x PGL(217)
  

• GROUP_GENERATORS
  2
  18
  -3 -3 2 1 2 1 0 -2 0 0 -1 3 -1 1 0
  1 -1 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 0 0 0 0 0 1
  0 0 0
  0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0
  0 0 1
  0 0 -1 -1 0 0 0 -1 1 0 1 0 0 0 0
  0 1 1
  -2 -2 1 2 1 2 2 0 -1 1 -1 1 -2 0 -1
  -1 0 -1
  0 0 0 -1 0 -1 -1 -1 1 -1 1 0 1 0 1
  1 0 1
  -1 -1 0 0 0 1 1 -1 0 0 0 0 0 0 0
  0 1 1
  1 2 -2 -1 -1 -1 0 0 1 0 2 -2 0 -1 0
  0 2 1
  0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0
  0 0 1
  -1 -2 1 2 1 1 1 0 -1 0 -1 1 -1 0 0
  0 -1 -1
  -2 -2 1 1 1 0 0 -1 0 -1 0 2 0 1 0
  1 -1 1
  1 1 -1 -1 -1 -1 0 0 1 -1 1 -1 1 0 1
  0 0 1
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
  0 0 0
  -1 -1 0 1 1 1 1 0 -1 0 0 1 -1 0 -1
  -1 0 0
  -2 -2 1 0 1 1 0 -2 0 0 0 1 0 1 0
  1 0 1
  -1 -1 0 0 1 0 0 -1 0 0 0 1 0 1 0
  0 0 1
  -1 -1 1 0 0 1 0 -1 0 0 0 1 0 0 0
  0 0 1
  18
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 0 1 1 1 0 0 1 -1 0 -1 1 -1 0 0
  -1 -1 -1
  2 3 -2 -2 -1 -2 -1 0 1 -1 2 -2 1 0 1
  0 1 1
  0 -1 1 1 1 1 1 1 -1 1 -2 1 -1 0 0
  -1 -1 -2
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
  0 0 0
  0 -1 1 1 1 0 0 0 -1 0 -1 1 0 0 0
  0 -1 -1
  1 1 -1 -1 0 -1 -1 0 1 0 1 -1 0 0 0
  0 1 1
  1 1 -1 0 0 -1 0 1 0 0 0 -1 0 0 0
  0 0 -1
  -1 -1 0 0 1 0 0 -1 0 0 0 1 0 1 0
  0 0 1
  0 0 0 1 0 0 1 1 0 0 -1 0 -1 0 0
  -1 0 -1
  0 0 0 -1 0 -1 -1 -1 1 -1 0 0 1 1 1
  1 0 1
  -1 -2 2 2 1 1 0 0 -1 0 -2 2 -1 1 0
  0 -2 -1
  1 1 -1 0 0 0 0 1 0 0 0 -1 0 0 0
  -1 0 -1
  2 2 -1 -1 -1 -2 -1 1 1 -1 1 -1 1 0 1
  0 0 0
  -1 -2 2 2 1 1 1 0 -1 1 -2 1 -1 0 0
  0 -1 -2
  0 -1 1 1 1 0 0 1 -1 0 -1 1 -1 0 0
  0 -1 -1
  1 0 1 1 0 0 0 1 -1 0 -1 0 0 0 1
  0 -2 -2
  1 1 -1 0 0 0 1 1 0 1 0 -1 -1 -1 -1
  -1 1 -1
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe