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 13:22:25 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
  E8 x A2
  

• DIMENSION
  16
  

• GRAM
  16
  4 0 -2 0 0 0 0 0 2 0 -1 0 0 0 0 0
  0 4 0 -2 0 0 0 0 0 2 0 -1 0 0 0 0
  -2 0 4 -2 0 0 0 0 -1 0 2 -1 0 0 0 0
  0 -2 -2 4 -2 0 0 0 0 -1 -1 2 -1 0 0 0
  0 0 0 -2 4 -2 0 0 0 0 0 -1 2 -1 0 0
  0 0 0 0 -2 4 -2 0 0 0 0 0 -1 2 -1 0
  0 0 0 0 0 -2 4 -2 0 0 0 0 0 -1 2 -1
  0 0 0 0 0 0 -2 4 0 0 0 0 0 0 -1 2
  2 0 -1 0 0 0 0 0 4 0 -2 0 0 0 0 0
  0 2 0 -1 0 0 0 0 0 4 0 -2 0 0 0 0
  -1 0 2 -1 0 0 0 0 -2 0 4 -2 0 0 0 0
  0 -1 -1 2 -1 0 0 0 0 -2 -2 4 -2 0 0 0
  0 0 0 -1 2 -1 0 0 0 0 0 -2 4 -2 0 0
  0 0 0 0 -1 2 -1 0 0 0 0 0 -2 4 -2 0
  0 0 0 0 0 -1 2 -1 0 0 0 0 0 -2 4 -2
  0 0 0 0 0 0 -1 2 0 0 0 0 0 0 -2 4
  

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

• MINIMAL_NORM
  4
  

• KISSING_NUMBER
  720
  

• GROUP_ORDER
  4180377600
  

• GROUP_NAME
  W(E8) x W(A2)
  

• GROUP_GENERATORS
  2
  16
  0 0 0 0 0 0 0 0 -2 -3 -4 -6 -5 -4 -3 -1
  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 1 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 1 1 2 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 0 0 0 0
  0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1
  2 3 4 6 5 4 3 1 -2 -3 -4 -6 -5 -4 -3 -1
  0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0
  0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0
  0 -1 -1 -2 -1 0 0 0 0 1 1 2 1 0 0 0
  -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
  0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0
  0 -1 0 -1 -1 -1 -1 -1 0 1 0 1 1 1 1 1
  16
  -2 -3 -4 -6 -5 -4 -3 -2 2 3 4 6 5 4 3 2
  0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0
  2 3 4 6 5 4 3 1 -2 -3 -4 -6 -5 -4 -3 -1
  0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0
  0 -1 -1 -2 -2 -1 0 0 0 1 1 2 2 1 0 0
  -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
  0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 0 0 0 0 0 2 3 4 6 5 4 3 2
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 0 0 0 0 0 -2 -3 -4 -6 -5 -4 -3 -1
  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 1 2 2 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 1 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe