The Lattice A2 x E7

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 Thu Apr 22 20:19:01 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
  A2 x E7
  
• DIMENSION
  14
  
• GRAM
  14 14
  4 -2 -2 1 0 0 0 0 0 0 0 0 0 0
  -2 4 1 -2 0 0 0 0 0 0 0 0 0 0
  -2 1 4 -2 -2 1 0 0 0 0 0 0 0 0
  1 -2 -2 4 1 -2 0 0 0 0 0 0 0 0
  0 0 -2 1 4 -2 -2 1 0 0 0 0 0 0
  0 0 1 -2 -2 4 1 -2 0 0 0 0 0 0
  0 0 0 0 -2 1 4 -2 -2 1 0 0 -2 1
  0 0 0 0 1 -2 -2 4 1 -2 0 0 1 -2
  0 0 0 0 0 0 -2 1 4 -2 -2 1 0 0
  0 0 0 0 0 0 1 -2 -2 4 1 -2 0 0
  0 0 0 0 0 0 0 0 -2 1 4 -2 0 0
  0 0 0 0 0 0 0 0 1 -2 -2 4 0 0
  0 0 0 0 0 0 -2 1 0 0 0 0 4 -2
  0 0 0 0 0 0 1 -2 0 0 0 0 -2 4
  
• DIVISORS
  1 1 1 1 1 1 1 3 3 3 3 3 6 6
  
• MINIMAL_NORM
  4
  
• KISSING_NUMBER
  378
  
• GROUP_ORDER
  17418240
  
• GROUP_NAME
  S3 x W(E7) = W(A2) x W(E7)
  
• GROUP_GENERATORS
  2
  14
  0 1 0 1 0 1 0 1 0 1 0 1 0 0
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0
  0 0 0 -1 0 -1 0 -1 0 -1 0 -1 0 0
  0 0 1 1 1 1 1 1 1 1 1 1 0 0
  0 -1 0 -1 0 -1 0 -1 0 0 0 0 0 -1
  1 1 1 1 1 1 1 1 0 0 0 0 1 1
  0 1 0 2 0 2 0 2 0 1 0 0 0 1
  -1 -1 -2 -2 -2 -2 -2 -2 -1 -1 0 0 -1 -1
  0 0 0 0 0 1 0 2 0 1 0 1 0 1
  0 0 0 0 -1 -1 -2 -2 -1 -1 -1 -1 -1 -1
  0 0 0 0 0 -1 0 -1 0 0 0 0 0 0
  0 0 0 0 1 1 1 1 0 0 0 0 0 0
  0 -1 0 -2 0 -3 0 -4 0 -3 0 -1 0 -2
  1 1 2 2 3 3 4 4 3 3 1 1 2 2
  14
  0 0 0 0 0 0 0 0 1 1 1 1 0 0
  0 0 0 0 0 0 0 0 0 -1 0 -1 0 0
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0
  0 1 0 1 0 1 0 1 0 1 0 1 0 0
  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 1
  1 1 1 1 1 1 1 1 1 1 0 0 1 1
  0 -1 0 -1 0 -1 0 -1 0 -1 0 0 0 -1
  0 0 1 1 2 2 2 2 1 1 1 1 1 1
  0 0 0 -1 0 -2 0 -2 0 -1 0 -1 0 -1
  0 0 -1 -1 -1 -1 0 0 0 0 0 0 0 0
  0 0 0 1 0 1 0 0 0 0 0 0 0 0
  -1 -1 -2 -2 -3 -3 -4 -4 -3 -3 -1 -1 -2 -2
  0 1 0 2 0 3 0 4 0 3 0 1 0 2
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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