The Lattice (C3.M10 x SL(2,3)).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 13:49:12 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
  (C3.M10 x SL(2,3)).C2
  
• DIMENSION
  24
  
• GRAM
  24
  8 1 2 2 2 1 4 2 4 4 0 1 3 1 2
  4 2 2 1 2 2 2 4 -1
  1 8 2 4 4 2 1 2 1 0 2 4 2 2 2
  2 2 1 4 2 3 1 0 2
  2 2 8 2 4 2 2 2 2 4 2 4 2 2 2
  4 1 2 0 3 4 4 0 2
  2 4 2 8 2 1 2 2 4 1 1 3 1 1 3
  2 4 1 2 4 2 3 2 1
  2 4 4 2 8 2 0 0 3 2 2 2 4 4 4
  3 1 1 2 0 3 4 1 4
  1 2 2 1 2 8 2 4 0 2 4 4 0 2 2
  1 2 2 4 2 2 1 1 4
  4 1 2 2 0 2 8 4 2 3 0 2 0 0 1
  2 4 2 1 4 2 2 2 0
  2 2 2 2 0 4 4 8 1 4 2 4 2 2 2
  1 3 4 2 2 2 0 1 2
  4 1 2 4 3 0 2 1 8 2 2 1 2 1 3
  4 2 2 0 2 4 4 4 2
  4 0 4 1 2 2 3 4 2 8 2 2 4 2 2
  2 2 4 2 1 2 2 2 0
  0 2 2 1 2 4 0 2 2 2 8 2 1 3 1
  2 1 4 3 2 4 2 2 3
  1 4 4 3 2 4 2 4 1 2 2 8 2 0 4
  2 1 2 2 4 4 1 0 2
  3 2 2 1 4 0 0 2 2 4 1 2 8 4 2
  1 2 3 2 0 2 2 3 0
  1 2 2 1 4 2 0 2 1 2 3 0 4 8 2
  2 1 2 4 0 1 2 2 4
  2 2 2 3 4 2 1 2 3 2 1 4 2 2 8
  3 1 1 2 1 2 1 1 2
  4 2 4 2 3 1 2 1 4 2 2 2 1 2 3
  8 0 0 1 4 2 2 0 1
  2 2 1 4 1 2 4 3 2 2 1 1 2 1 1
  0 8 2 2 2 1 2 4 0
  2 1 2 1 1 2 2 4 2 4 4 2 3 2 1
  0 2 8 2 0 4 0 4 1
  1 4 0 2 2 4 1 2 0 2 3 2 2 4 2
  1 2 2 8 1 1 0 1 2
  2 2 3 4 0 2 4 2 2 1 2 4 0 0 1
  4 2 0 1 8 2 3 0 0
  2 3 4 2 3 2 2 2 4 2 4 4 2 1 2
  2 1 4 1 2 8 2 2 2
  2 1 4 3 4 1 2 0 4 2 2 1 2 2 1
  2 2 0 0 3 2 8 2 2
  4 0 0 2 1 1 2 1 4 2 2 0 3 2 1
  0 4 4 1 0 2 2 8 1
  -1 2 2 1 4 4 0 2 2 0 3 2 0 4 2
  1 0 1 2 0 2 2 1 8
  
• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 10 10
  10 10
  
• MINIMAL_NORM
  8
  
• KISSING_NUMBER
  1080
  
• GROUP_ORDER
  103680
  
• GROUP_NAME
  (C3.M10 x SL(23)).C2
  
• GROUP_GENERATORS
  2
  24
  0 -1 -1 0 2 0 0 0 0 0 0 1 -1 1 -1
  0 0 0 0 0 0 0 0 -1
  0 -1 -1 0 2 -1 -1 1 0 0 0 2 -2 1 -1
  0 0 0 0 0 0 0 1 -1
  0 0 -1 0 0 0 0 -1 0 1 0 1 0 1 0
  0 0 0 -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
  0 0 -2 0 0 0 -1 -1 -1 1 -1 1 -1 1 0
  1 1 1 -1 0 1 1 0 0
  0 0 -1 -1 1 0 -1 0 1 1 -1 2 -2 2 -1
  0 1 0 -1 0 0 0 0 -1
  0 0 0 -1 1 0 0 0 1 0 0 1 -1 1 0
  -1 0 0 0 0 -1 0 0 -1
  0 -1 0 0 1 0 0 0 1 0 0 2 -1 1 -1
  0 0 0 0 -1 -1 0 0 -1
  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 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 0
  0 0 0 -1 0 0 0 0 0
  0 -1 -1 0 2 -1 -1 1 0 1 0 2 -2 1 -1
  0 0 -1 0 0 0 0 1 -1
  0 -1 -1 1 0 0 0 0 -1 0 0 0 0 0 0
  1 0 0 0 -1 1 1 0 0
  0 0 -1 0 -1 0 0 -1 0 0 0 1 0 1 0
  1 1 1 -1 -1 0 1 -1 0
  0 -1 -1 0 2 -1 -1 0 0 1 0 2 -2 1 -1
  0 1 0 0 0 0 0 0 -1
  0 -1 -1 0 2 -1 0 0 0 0 0 2 -1 1 -1
  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 -1 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 -1 -1 -1 2 -1 -1 1 1 0 0 2 -2 1 -1
  0 1 0 0 0 0 0 0 -1
  -1 0 0 0 1 0 0 1 0 0 0 0 0 0 0
  0 -1 -1 0 0 0 0 1 -1
  0 0 -1 0 0 0 0 -1 0 1 0 1 -1 1 0
  0 0 0 -1 0 0 0 0 0
  0 1 0 0 -1 1 0 -1 0 0 0 -1 1 0 1
  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 1 -1 -1 -1 0 -1 -1 0 1 -1 1 -1 1 0
  1 1 1 -1 0 0 1 0 0
  24
  0 1 0 0 -2 1 0 -1 -1 0 -1 -2 1 -1 1
  1 0 1 0 0 1 1 0 1
  0 0 0 0 1 0 0 1 -1 0 0 -1 0 -1 0
  0 -1 0 0 1 0 0 1 0
  0 1 0 -1 -1 1 -1 0 0 0 -1 -1 0 0 1
  0 0 1 0 1 0 1 0 0
  0 1 1 0 -1 0 0 0 -1 0 0 -2 1 -1 1
  0 -1 0 0 1 0 0 1 1
  0 1 -1 -1 0 0 -1 0 0 1 -1 0 -1 0 0
  0 0 1 0 1 0 1 0 0
  1 1 0 0 -1 1 0 -1 1 0 0 0 0 1 0
  -1 0 1 -1 0 -1 0 -1 0
  0 1 -1 0 -2 1 0 -1 -1 0 -1 -1 1 0 1
  1 0 1 -1 0 1 1 0 1
  1 1 0 0 -2 1 0 -1 0 0 0 -1 1 0 1
  0 0 1 -1 0 0 0 -1 1
  0 1 0 0 -2 0 0 -1 -1 0 0 -1 1 -1 1
  1 0 1 0 0 0 1 0 1
  0 1 0 0 -2 1 -1 0 -1 0 -1 -2 1 -1 1
  1 0 1 0 0 1 1 0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 -1 0 0 0
  1 1 0 0 -2 1 0 -1 -1 0 0 -1 1 0 1
  0 0 1 -1 0 0 1 -1 1
  0 0 -1 0 0 0 -1 0 -1 1 -1 0 -1 0 0
  1 0 1 0 0 1 1 0 0
  0 0 -1 0 1 0 -1 0 0 1 -1 0 -1 0 0
  0 0 1 0 1 0 0 0 0
  1 1 0 0 -2 0 0 -1 -1 0 0 -1 1 -1 1
  0 0 1 0 0 0 1 -1 2
  0 1 0 0 -2 1 0 -1 -1 0 -1 -1 1 -1 1
  1 0 1 0 0 0 1 0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 -1 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 1 1 0 0 1 -1 0 0 -1 0 -1 0
  0 -1 0 0 0 0 0 1 0
  0 1 0 0 -2 1 0 -1 -1 0 -1 -1 1 0 1
  1 0 1 -1 0 0 1 0 1
  0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0
  1 0 1 0 0 0 1 0 0
  0 1 0 -1 -1 0 -1 0 0 0 -1 -1 0 0 1
  0 0 1 0 1 0 1 0 0
  0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0
  1 1 -1 -1 0 0 -1 -1 1 1 0 1 -1 1 0
  -1 1 1 -1 1 -1 0 -1 0
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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