The Lattice (C2 x Alt5 x Alt5).(C2 x C2)

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 13:35:47 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
  (C2 x Alt5 x Alt5).(C2 x C2)
  
• DIMENSION
  18
  
• GRAM
  18
  5 0 0 1 -1 0 -1 1 -1 1 1 -1 -1 0 0
  1 1 -1
  0 5 0 -1 0 -1 -1 -1 -1 1 -1 -1 0 0 0
  -1 -1 0
  0 0 5 0 -1 1 1 0 -1 -1 -1 -1 -1 0 0
  0 0 -1
  1 -1 0 5 1 1 -1 0 -1 -1 -1 0 0 -1 -1
  0 0 -1
  -1 0 -1 1 5 1 -1 -1 -1 1 1 1 0 1 -1
  1 0 0
  0 -1 1 1 1 5 -1 -1 1 -1 0 -1 -1 1 1
  0 -1 0
  -1 -1 1 -1 -1 -1 5 -1 -1 0 -1 -1 1 0 -1
  1 1 -1
  1 -1 0 0 -1 -1 -1 5 0 0 1 -1 -1 -1 -1
  0 0 1
  -1 -1 -1 -1 -1 1 -1 0 5 0 -1 0 -1 -1 1
  1 -1 1
  1 1 -1 -1 1 -1 0 0 0 5 -1 -1 1 0 1
  1 -1 -1
  1 -1 -1 -1 1 0 -1 1 -1 -1 5 1 -1 1 0
  0 1 0
  -1 -1 -1 0 1 -1 -1 -1 0 -1 1 5 0 -1 1
  -1 1 -1
  -1 0 -1 0 0 -1 1 -1 -1 1 -1 0 5 1 -1
  -1 1 0
  0 0 0 -1 1 1 0 -1 -1 0 1 -1 1 5 0
  -1 -1 1
  0 0 0 -1 -1 1 -1 -1 1 1 0 1 -1 0 5
  -1 -1 -1
  1 -1 0 0 1 0 1 0 1 1 0 -1 -1 -1 -1
  5 0 0
  1 -1 0 0 0 -1 1 0 -1 -1 1 1 1 -1 -1
  0 5 1
  -1 0 -1 -1 0 0 -1 1 1 -1 0 -1 0 1 -1
  0 1 5
  
• DIVISORS
  1 1 1 1 1 1 1 1 1 5 10 10 10 10 10 10 10 10
  
• MINIMAL_NORM
  5
  
• KISSING_NUMBER
  72
  
• GROUP_ORDER
  28800
  
• GROUP_NAME
  (C2 x A5 x A5).(C2 x C2)
  
• GROUP_GENERATORS
  3
  18
  -1 -1 -1 -1 -1 0 -2 -1 -1 0 -1 -1 -1 0 -1
  0 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0
  0 1 0 1 -1 1 1 0 0 1 1 1 0 0 0
  0 0 1
  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 -1
  0 1 0 1 0 0 1 0 1 0 1 0 0 0 0
  0 0 0
  1 0 0 0 0 0 1 0 0 0 0 1 0 0 0
  0 -1 1
  0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
  0 0 0
  0 0 0 0 1 -1 0 0 0 -1 0 -1 0 0 1
  0 0 0
  0 -1 -1 -1 0 0 -1 0 -1 -1 -1 -1 0 0 0
  0 0 -1
  -1 0 0 0 -1 0 -1 0 0 1 0 0 -1 1 -1
  0 1 -1
  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 1 0 1 0 1 0 0 0 0 0 0
  -1 0 0
  0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
  0 0 0
  -1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 1 0
  1 1 -1
  -1 -1 0 0 -1 0 -1 -1 -1 1 0 0 -1 0 -1
  0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
  0 0 0
  18
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0
  1 0 0 -1 1 0 0 0 0 -1 0 0 1 -1 0
  0 -1 0
  1 1 1 1 1 0 2 1 1 0 1 1 1 0 1
  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 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
  -1 0 0 1 -1 0 0 0 0 1 1 0 0 0 0
  0 0 0
  1 0 0 0 1 0 1 0 1 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 -1 -1 -1 0 0 -1 0 -1 -1 -1 -1 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
  -2 0 -1 0 -2 1 -1 0 -1 1 0 0 -1 1 -1
  1 1 -1
  -1 0 0 0 -1 0 -1 0 0 0 0 0 0 1 0
  1 1 -1
  0 -1 0 -1 0 0 -1 0 -1 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 1 0 1 -1 1 1 0 0 1 1 1 0 0 0
  0 0 1
  0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0
  18
  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
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0
  1 0 0 0 1 0 1 0 1 0 0 0 0 0 0
  -1 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
  -1 0 0 1 -1 0 0 0 0 1 1 0 0 0 0
  0 0 0
  1 0 0 0 0 0 1 0 0 0 0 1 0 0 0
  0 -1 1
  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 0 0 0 0 0 0
  1 0 0
  0 -1 0 -1 1 -1 -1 0 0 -1 -1 -1 0 0 0
  0 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0
  -1 1 0 1 -1 1 0 1 0 1 0 1 0 1 0
  1 1 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 1 0 0 0 0
  0 0 0
  0 -1 0 0 0 -1 -1 -1 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 1
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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