The Lattice A2xH4

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 12:09:41 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
  A2xH4
  
• DIMENSION
  16
  
• GRAM
  16
  8 -4 2 -1 4 -2 4 -2 4 -2 4 -2 4 -2 -4 2
  -4 8 -1 2 -2 4 -2 4 -2 4 -2 4 -2 4 2 -4
  2 -1 8 -4 2 -1 0 0 4 -2 4 -2 -2 1 2 -1
  -1 2 -4 8 -1 2 0 0 -2 4 -2 4 1 -2 -1 2
  4 -2 2 -1 8 -4 0 0 4 -2 2 -1 4 -2 -4 2
  -2 4 -1 2 -4 8 0 0 -2 4 -1 2 -2 4 2 -4
  4 -2 0 0 0 0 8 -4 0 0 4 -2 2 -1 -4 2
  -2 4 0 0 0 0 -4 8 0 0 -2 4 -1 2 2 -4
  4 -2 4 -2 4 -2 0 0 8 -4 4 -2 0 0 -2 1
  -2 4 -2 4 -2 4 0 0 -4 8 -2 4 0 0 1 -2
  4 -2 4 -2 2 -1 4 -2 4 -2 8 -4 2 -1 -2 1
  -2 4 -2 4 -1 2 -2 4 -2 4 -4 8 -1 2 1 -2
  4 -2 -2 1 4 -2 2 -1 0 0 2 -1 8 -4 -4 2
  -2 4 1 -2 -2 4 -1 2 0 0 -1 2 -4 8 2 -4
  -4 2 2 -1 -4 2 -4 2 -2 1 -2 1 -4 2 8 -4
  2 -4 -1 2 2 -4 2 -4 1 -2 1 -2 2 -4 -4 8
  
• DIVISORS
  1 1 1 1 1 1 1 1 15 15 15 15 15 15 15 15
  
• MINIMAL_NORM
  8
  
• KISSING_NUMBER
  360
  
• GROUP_ORDER
  172800
  
• GROUP_NAME
  S3 x (SL(25) Y SL(25)):(C2 x C2)
  
• GROUP_GENERATORS
  3
  16
  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 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 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 -1 0 -1 0 1 0 0 0 0
  0 0 0 0 0 0 -1 0 -1 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 1 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 0 0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 1
  0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 1 0
  0 -1 0 0 0 0 0 1 0 1 0 -1 0 1 0 0
  -1 0 0 0 0 0 1 0 1 0 -1 0 1 0 0 0
  16
  -1 -1 0 0 -1 -1 0 0 1 1 0 0 1 1 0 0
  1 0 0 0 1 0 0 0 -1 0 0 0 -1 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 -1 0 -1 0
  0 0 0 0 -1 -1 0 0 1 1 0 0 1 1 0 0
  0 0 0 0 1 0 0 0 -1 0 0 0 -1 0 0 0
  -1 -1 0 0 0 0 0 0 0 0 1 1 0 0 0 0
  1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0
  0 0 0 0 -1 -1 0 0 0 0 0 0 1 1 0 0
  0 0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0
  0 0 -1 -1 0 0 0 0 0 0 1 1 0 0 1 1
  0 0 1 0 0 0 0 0 0 0 -1 0 0 0 -1 0
  0 0 0 0 -1 -1 0 0 1 1 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 1 1 1 1 0 0 -1 -1 0 0 1 1
  0 0 0 0 -1 0 -1 0 0 0 1 0 0 0 -1 0
  16
  1 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 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 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 1 0 0 0 1 0 0 0
  0 0 0 0 0 -1 0 0 0 1 0 0 0 1 0 0
  0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 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 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 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 0 0 0 0 0 -1 0 0
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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