The Lattice E8 x A2

An entry from the Catalogue of Lattices, which is a joint project of
Neil J. A. Sloane, AT&T Labs-Research (njas@research.att.com) and
Gabriele Nebe, University of Ulm (nebe@mathematik.uni-ulm.de)

Last modified Wed Jul 21 12:08:55 EDT 1999

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
  

INDEX FILE | ABBREVIATIONS

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