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 13:24:33 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
  F4xE6
  

• DIMENSION
  24
  

• GRAM
  24
  4 -2 0 0 0 0 0 0 0 0 0 0 -2 1 0
  0 0 0 -2 1 0 0 0 0
  -2 4 -2 0 0 0 0 0 0 0 0 0 1 -2 1
  0 0 0 1 -2 1 0 0 0
  0 -2 4 -2 0 -2 0 0 0 0 0 0 0 1 -2
  1 0 1 0 1 -2 1 0 1
  0 0 -2 4 -2 0 0 0 0 0 0 0 0 0 1
  -2 1 0 0 0 1 -2 1 0
  0 0 0 -2 4 0 0 0 0 0 0 0 0 0 0
  1 -2 0 0 0 0 1 -2 0
  0 0 -2 0 0 4 0 0 0 0 0 0 0 0 1
  0 0 -2 0 0 1 0 0 -2
  0 0 0 0 0 0 4 -2 0 0 0 0 2 -1 0
  0 0 0 2 -1 0 0 0 0
  0 0 0 0 0 0 -2 4 -2 0 0 0 -1 2 -1
  0 0 0 -1 2 -1 0 0 0
  0 0 0 0 0 0 0 -2 4 -2 0 -2 0 -1 2
  -1 0 -1 0 -1 2 -1 0 -1
  0 0 0 0 0 0 0 0 -2 4 -2 0 0 0 -1
  2 -1 0 0 0 -1 2 -1 0
  0 0 0 0 0 0 0 0 0 -2 4 0 0 0 0
  -1 2 0 0 0 0 -1 2 0
  0 0 0 0 0 0 0 0 -2 0 0 4 0 0 -1
  0 0 2 0 0 -1 0 0 2
  -2 1 0 0 0 0 2 -1 0 0 0 0 4 -2 0
  0 0 0 2 -1 0 0 0 0
  1 -2 1 0 0 0 -1 2 -1 0 0 0 -2 4 -2
  0 0 0 -1 2 -1 0 0 0
  0 1 -2 1 0 1 0 -1 2 -1 0 -1 0 -2 4
  -2 0 -2 0 -1 2 -1 0 -1
  0 0 1 -2 1 0 0 0 -1 2 -1 0 0 0 -2
  4 -2 0 0 0 -1 2 -1 0
  0 0 0 1 -2 0 0 0 0 -1 2 0 0 0 0
  -2 4 0 0 0 0 -1 2 0
  0 0 1 0 0 -2 0 0 -1 0 0 2 0 0 -2
  0 0 4 0 0 -1 0 0 2
  -2 1 0 0 0 0 2 -1 0 0 0 0 2 -1 0
  0 0 0 4 -2 0 0 0 0
  1 -2 1 0 0 0 -1 2 -1 0 0 0 -1 2 -1
  0 0 0 -2 4 -2 0 0 0
  0 1 -2 1 0 1 0 -1 2 -1 0 -1 0 -1 2
  -1 0 -1 0 -2 4 -2 0 -2
  0 0 1 -2 1 0 0 0 -1 2 -1 0 0 0 -1
  2 -1 0 0 0 -2 4 -2 0
  0 0 0 1 -2 0 0 0 0 -1 2 0 0 0 0
  -1 2 0 0 0 0 -2 4 0
  0 0 1 0 0 -2 0 0 -1 0 0 2 0 0 -1
  0 0 2 0 0 -2 0 0 4
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 6 6 6 6
  

• MINIMAL_NORM
  4
  

• KISSING_NUMBER
  864
  

• GROUP_ORDER
  59719680
  

• GROUP_NAME
  W(F4) x W(E6)
  

• GROUP_GENERATORS
  3
  24
  0 0 0 0 0 0 0 0 0 0 0 0 1 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 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
  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 1 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1
  -1 -1 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 -2
  -2 -1 -1 0 0 0 0 0 0
  0 0 0 0 0 0 1 1 0 0 0 0 0 0 0
  0 0 0 -1 -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 -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 -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 -1 0
  0 0 0 0 0 0 0 -1 -1 -1 -1 0 0 0 0
  0 0 0 0 1 1 1 1 0
  0 0 0 0 0 0 -1 -1 -2 -2 -1 -1 0 0 0
  0 0 0 1 1 2 2 1 1
  0 0 0 0 0 0 1 1 0 0 0 0 -1 -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 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 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 -1 -1 -1 0 0 1 1
  1 1 0 0 0 0 0 0 0
  0 0 0 0 0 0 -1 -1 -2 -2 -1 -1 1 1 2
  2 1 1 0 0 0 0 0 0
  -1 -1 0 0 0 0 1 1 0 0 0 0 -1 -1 0
  0 0 0 -1 -1 0 0 0 0
  0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1
  0 0 0 0 0 -1 0 0 0
  0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0
  -1 0 0 0 0 0 -1 0 0
  0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0
  0 -1 0 0 0 0 0 -1 0
  0 1 1 1 1 0 0 -1 -1 -1 -1 0 0 1 1
  1 1 0 0 1 1 1 1 0
  1 1 2 2 1 1 -1 -1 -2 -2 -1 -1 1 1 2
  2 1 1 1 1 2 2 1 1
  24
  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 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 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 1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  -1 -2 -3 -2 -1 -2 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 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 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 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 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 2 3
  2 1 2 -1 -2 -3 -2 -1 -2
  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 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 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 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 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 -1 -2 -3 -2 -1 -2
  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 -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 -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 -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 -1 0 0 0
  0 0 0 0 0 0 0 0 1
  0 0 0 0 0 0 1 2 3 2 1 2 0 0 0
  0 0 0 -1 -2 -3 -2 -1 -2
  0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0
  0 0 0 0 0 0 1 0 0
  24
  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 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 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 1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  -1 -2 -3 -2 -1 -2 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 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 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 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 1 0 0 0
  0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 -1 -2 -3 -2 -1 -2 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 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 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 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 1 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 -3
  -2 -1 -2 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
  -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 -1 0 0 0 0 0
  0 -1 0 0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 0 -1 0 0 0 0
  0 0 -1 0 0 0 0 0 1 0 0 0 0 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 -1
  1 2 3 2 1 2 -1 -2 -3 -2 -1 -2 0 0 0
  0 0 0 1 2 3 2 1 2
  0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 0 0 0 -1 0 0
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe