The Lattice F4 x A5

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 13:36:50 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
  F4 x A5
  
• DIMENSION
  20
  
• GRAM
  20
  4 0 -2 -2 2 0 -1 -1 2 0 -1 -1 2 0 -1
  -1 2 0 -1 -1
  0 4 2 2 0 2 1 1 0 2 1 1 0 2 1
  1 0 2 1 1
  -2 2 4 2 -1 1 2 1 -1 1 2 1 -1 1 2
  1 -1 1 2 1
  -2 2 2 4 -1 1 1 2 -1 1 1 2 -1 1 1
  2 -1 1 1 2
  2 0 -1 -1 4 0 -2 -2 2 0 -1 -1 2 0 -1
  -1 2 0 -1 -1
  0 2 1 1 0 4 2 2 0 2 1 1 0 2 1
  1 0 2 1 1
  -1 1 2 1 -2 2 4 2 -1 1 2 1 -1 1 2
  1 -1 1 2 1
  -1 1 1 2 -2 2 2 4 -1 1 1 2 -1 1 1
  2 -1 1 1 2
  2 0 -1 -1 2 0 -1 -1 4 0 -2 -2 2 0 -1
  -1 2 0 -1 -1
  0 2 1 1 0 2 1 1 0 4 2 2 0 2 1
  1 0 2 1 1
  -1 1 2 1 -1 1 2 1 -2 2 4 2 -1 1 2
  1 -1 1 2 1
  -1 1 1 2 -1 1 1 2 -2 2 2 4 -1 1 1
  2 -1 1 1 2
  2 0 -1 -1 2 0 -1 -1 2 0 -1 -1 4 0 -2
  -2 2 0 -1 -1
  0 2 1 1 0 2 1 1 0 2 1 1 0 4 2
  2 0 2 1 1
  -1 1 2 1 -1 1 2 1 -1 1 2 1 -2 2 4
  2 -1 1 2 1
  -1 1 1 2 -1 1 1 2 -1 1 1 2 -2 2 2
  4 -1 1 1 2
  2 0 -1 -1 2 0 -1 -1 2 0 -1 -1 2 0 -1
  -1 4 0 -2 -2
  0 2 1 1 0 2 1 1 0 2 1 1 0 2 1
  1 0 4 2 2
  -1 1 2 1 -1 1 2 1 -1 1 2 1 -1 1 2
  1 -2 2 4 2
  -1 1 1 2 -1 1 1 2 -1 1 1 2 -1 1 1
  2 -2 2 2 4
  
• DIVISORS
  1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 6 6 12 12
  
• MINIMAL_NORM
  4
  
• KISSING_NUMBER
  360
  
• GROUP_ORDER
  829440
  
• GROUP_NAME
  W(F4) x S6 = W(F4) x W(A5)
  
• GROUP_GENERATORS
  3
  20
  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 -1 1 0
  0 0 0 0 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 0 0
  0 1 -1 1 0
  0 0 0 0 0 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 0 0 1 -1
  0 0 -1 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
  1 0 0 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1
  0 1 -1 1 0
  0 0 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 0 1 -1 0 0 0 0
  0 0 -1 1 0
  0 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 0 0 -1 1 -1 0 0 0 0
  0 1 -1 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 1 -1 0 0 0 0 0 0 0 0
  0 0 -1 1 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 -1 1 -1 0 0 0 0 0 0 0 0
  0 1 -1 1 0
  0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 1 0
  0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 -1
  -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 -1 1 0
  20
  -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 1 0
  0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1
  1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
  0 -1 0 0 -1
  0 1 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 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 -1 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
  0 1 0 1 0
  0 0 0 0 0 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 0 1 0 0
  1 -1 0 0 -1
  0 0 0 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 -1 0 -1 0 0 0 0
  0 1 0 1 0
  0 0 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 1 0 0 0
  0 -1 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 0 0 0 0 0 0 0 0
  0 1 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 1 0 0 1 0 0 0 0 0 0 0
  0 -1 0 0 -1
  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0
  20
  1 0 0 0 0 0 0 0 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 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 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
  0 1 0 0 0
  0 0 0 0 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 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 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
  -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 -1 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 -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 -1 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 -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 -1 1 0 0 0 0 0 0 0 0
  0 0 0 0 0
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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