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 13:09:25 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
  A18^(5)
  

• DIMENSION
  18
  

• GRAM
  18
  10 2 4 3 2 0 4 2 1 4 2 3 4 3 4
  0 1 2
  2 10 2 4 2 4 2 2 2 3 3 4 2 2 1
  3 4 2
  4 2 10 2 2 2 4 2 1 2 -2 1 4 2 2
  2 2 3
  3 4 2 10 0 4 2 3 2 2 2 2 0 2 2
  2 -2 0
  2 2 2 0 10 1 2 4 2 2 4 1 4 -2 4
  2 0 2
  0 4 2 4 1 10 -2 1 4 -2 3 2 3 2 2
  2 2 2
  4 2 4 2 2 -2 10 4 0 4 2 3 2 2 2
  4 3 2
  2 2 2 3 4 1 4 10 3 2 4 3 2 2 2
  4 0 2
  1 2 1 2 2 4 0 3 10 2 2 4 3 4 2
  2 2 0
  4 3 2 2 2 -2 4 2 2 10 -2 2 4 3 -2
  4 2 2
  2 3 -2 2 4 3 2 4 2 -2 10 1 2 2 4
  2 1 3
  3 4 1 2 1 2 3 3 4 2 1 10 1 2 3
  -2 4 -1
  4 2 4 0 4 3 2 2 3 4 2 1 10 1 -1
  2 3 2
  3 2 2 2 -2 2 2 2 4 3 2 2 1 10 2
  2 4 4
  4 1 2 2 4 2 2 2 2 -2 4 3 -1 2 10
  -2 2 2
  0 3 2 2 2 2 4 4 2 4 2 -2 2 2 -2
  10 2 3
  1 4 2 -2 0 2 3 0 2 2 1 4 3 4 2
  2 10 4
  2 2 3 0 2 2 2 2 0 2 3 -1 2 4 2
  3 4 10
  

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

• MINIMAL_NORM
  10
  

• KISSING_NUMBER
  342
  

• GROUP_ORDER
  13680
  

• GROUP_NAME
  C2 x PGL(219)
  

• GROUP_GENERATORS
  2
  18
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 1
  1 -1 2 -1 0 2 0 1 1 2 2 -2 -3 -1 -2
  -2 2 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0
  0 0 1 -1 0 1 0 0 0 1 1 0 -1 0 -1
  -1 0 0
  1 -2 3 -1 0 4 1 2 1 5 4 -4 -6 -2 -3
  -5 4 -2
  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 0 0 0 0 0 0 1 0
  0 0 0
  0 0 1 -1 0 2 1 1 0 2 1 -2 -2 0 -1
  -2 1 -1
  1 0 1 -1 0 2 1 1 1 2 2 -3 -3 -1 -2
  -3 2 -1
  1 0 0 0 0 1 0 1 0 0 0 -1 -1 0 -1
  -1 1 0
  -1 0 1 -1 -1 0 0 0 0 1 1 0 0 0 1
  0 -1 0
  1 -1 1 -1 0 3 1 1 1 3 2 -3 -3 -1 -2
  -3 2 -1
  0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0
  -1 1 0
  -1 1 -1 0 -1 -2 -1 -1 -1 -2 -1 2 3 1 2
  3 -2 1
  -1 0 0 0 -1 -1 0 -1 0 0 0 1 1 0 1
  1 -1 1
  1 0 1 -1 0 1 0 1 0 1 1 -1 -2 0 -1
  -1 1 -1
  0 0 0 0 -1 -1 -1 0 0 0 0 0 1 0 1
  1 0 0
  -1 1 -1 0 -1 -2 -1 -1 -1 -2 -2 2 3 1 3
  3 -2 1
  18
  -2 1 -2 1 -1 -3 0 -1 -1 -3 -3 3 5 1 3
  3 -3 2
  0 0 0 0 1 1 1 0 0 0 0 0 -1 0 -1
  -1 0 0
  0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0
  1 -1 1 0 1 2 1 1 1 2 1 -2 -3 -1 -2
  -3 2 -1
  -1 1 -1 0 -1 -2 0 -1 0 -2 -1 2 3 0 2
  2 -2 1
  1 -1 1 0 1 2 1 1 1 1 1 -2 -3 -1 -2
  -2 2 -1
  -1 1 -1 0 0 -2 0 -1 -1 -2 -2 2 3 1 2
  2 -2 1
  -1 0 0 0 0 -1 0 -1 0 0 0 1 1 0 1
  1 -1 0
  0 0 1 -1 0 2 1 1 1 2 1 -2 -2 -1 -1
  -2 1 -1
  -1 0 1 0 0 0 0 0 0 1 1 0 0 0 0
  -1 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
  0 0 0
  -1 1 -1 0 0 -1 1 -1 0 -2 -2 1 2 1 1
  1 -2 1
  -1 0 1 0 -1 0 0 0 0 1 1 0 0 -1 1
  0 0 0
  1 -2 3 -1 1 4 1 2 1 5 4 -4 -6 -2 -4
  -5 4 -2
  0 0 -1 0 0 0 1 0 0 -1 -1 0 1 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 1 1 0 0 0 0 -1 -1 0 -1
  -1 1 0
  0 0 0 1 1 -1 0 0 0 -1 0 0 0 0 -1
  0 1 0
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe