The Lattice (SL(2,5) Y (D8 Y Q8).Alt5).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 13:48:28 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
  (SL(2,5) Y (D8 Y Q8).Alt5).C2
  
• DIMENSION
  24
  
• GRAM
  24
  6 0 1 -2 -3 1 -1 -1 0 -2 1 0 -2 1 1
  -1 2 0 -2 0 -2 0 0 0
  0 6 0 -1 0 -1 -2 0 1 -1 -1 2 -1 -1 -1
  -1 -1 1 0 1 0 -3 2 0
  1 0 6 -1 0 0 1 -2 -1 0 1 -2 0 0 -1
  -2 2 1 -1 -1 -2 1 -1 -1
  -2 -1 -1 6 1 0 0 1 0 0 -1 0 1 0 1
  0 0 0 -1 0 2 3 -1 1
  -3 0 0 1 6 -1 2 0 -2 1 1 0 2 -1 0
  1 -1 0 1 1 0 0 0 -2
  1 -1 0 0 -1 6 -1 2 0 -1 -1 0 1 -1 0
  -1 0 3 0 2 0 1 1 -2
  -1 -2 1 0 2 -1 6 -2 -2 3 3 -2 2 -1 1
  1 3 -3 0 -1 0 1 -3 -1
  -1 0 -2 1 0 2 -2 6 0 -2 -3 1 1 0 0
  0 -2 3 2 2 2 1 2 -1
  0 1 -1 0 -2 0 -2 0 6 -2 -3 3 -3 0 0
  0 -1 -1 2 0 0 0 2 3
  -2 -1 0 0 1 -1 3 -2 -2 6 3 -2 2 -1 -1
  2 1 -2 0 -2 1 -1 -3 0
  1 -1 1 -1 1 -1 3 -3 -3 3 6 -2 1 0 0
  0 2 -2 -3 -1 -1 -1 -3 -1
  0 2 -2 0 0 0 -2 1 3 -2 -2 6 -3 1 1
  2 0 -1 1 3 0 1 2 0
  -2 -1 0 1 2 1 2 1 -3 2 1 -3 6 -2 -2
  -1 0 1 0 0 3 0 -2 0
  1 -1 0 0 -1 -1 -1 0 0 -1 0 1 -2 6 -1
  0 1 0 -1 1 0 2 -1 0
  1 -1 -1 1 0 0 1 0 0 -1 0 1 -2 -1 6
  3 1 -2 -1 2 -2 1 0 -2
  -1 -1 -2 0 1 -1 1 0 0 2 0 2 -1 0 3
  6 1 -3 2 1 -1 1 0 -1
  2 -1 2 0 -1 0 3 -2 -1 1 2 0 0 1 1
  1 6 -3 -1 0 0 3 -2 0
  0 1 1 0 0 3 -3 3 -1 -2 -2 -1 1 0 -2
  -3 -3 6 0 1 0 -1 2 -2
  -2 0 -1 -1 1 0 0 2 2 0 -3 1 0 -1 -1
  2 -1 0 6 -1 0 0 3 1
  0 1 -1 0 1 2 -1 2 0 -2 -1 3 0 1 2
  1 0 1 -1 6 0 1 0 -3
  -2 0 -2 2 0 0 0 2 0 1 -1 0 3 0 -2
  -1 0 0 0 0 6 1 0 3
  0 -3 1 3 0 1 1 1 0 -1 -1 1 0 2 1
  1 3 -1 0 1 1 6 -1 0
  0 2 -1 -1 0 1 -3 2 2 -3 -3 2 -2 -1 0
  0 -2 2 3 0 0 -1 6 1
  0 0 -1 1 -2 -2 -1 -1 3 0 -1 0 0 0 -2
  -1 0 -2 1 -3 3 0 1 6
  
• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10
  10
  
• MINIMAL_NORM
  6
  
• KISSING_NUMBER
  2400
  
• GROUP_ORDER
  230400
  
• GROUP_NAME
  (SL(25) Y (D8 Y Q8).A5).C2
  
• GROUP_GENERATORS
  2
  24
  0 0 0 0 0 0 1 0 -1 0 0 0 -1 0 0
  0 0 1 0 1 0 0 0 2
  0 0 0 0 0 0 -1 0 0 0 0 0 1 0 0
  -1 0 -2 0 0 0 0 1 -1
  1 -1 1 2 -1 0 0 0 0 -1 0 0 0 0 -2
  1 0 -2 0 0 1 -2 1 -2
  0 0 0 0 0 0 -1 -1 0 0 0 0 0 0 0
  0 0 0 1 0 1 0 -1 -1
  0 0 0 0 0 0 -1 0 1 1 0 1 2 1 1
  -1 0 -1 0 -2 0 0 1 -2
  0 0 1 0 0 1 1 0 -1 -1 0 0 -1 0 0
  1 -1 0 0 0 1 -1 -1 1
  0 0 0 0 0 0 0 0 1 0 0 0 1 1 0
  1 0 0 -1 -1 0 0 1 -1
  -1 1 0 -1 1 1 0 1 -1 0 0 0 -1 0 1
  0 0 1 0 0 -1 0 -2 3
  0 0 0 0 -1 0 0 0 0 1 0 0 1 0 0
  -1 -1 -1 0 1 -1 1 1 0
  0 0 0 0 0 0 0 -1 0 -2 1 -1 -2 -1 -1
  2 0 1 1 0 2 0 -1 -1
  0 0 0 0 0 0 0 -1 0 -2 1 0 -1 0 0
  1 0 1 1 -1 2 0 -1 -1
  0 1 -1 -1 0 0 0 0 0 1 0 0 1 0 1
  -1 -1 0 0 0 -1 2 0 1
  -1 0 0 -1 1 1 0 0 -1 -1 0 1 -1 0 1
  1 1 2 0 -1 0 -1 -2 2
  0 1 0 0 0 0 0 0 0 0 1 0 0 0 1
  0 0 1 1 0 0 1 -1 1
  1 0 0 0 0 -1 0 0 1 2 -1 0 2 1 0
  -1 -1 -1 -1 0 -1 1 2 -1
  1 0 0 0 0 -1 0 0 1 1 0 0 1 0 0
  0 -1 0 0 0 0 1 1 -1
  0 0 0 0 0 0 1 0 0 -1 0 0 0 0 -1
  2 0 1 -1 0 0 0 0 1
  0 0 1 1 0 1 0 0 -1 -1 0 0 -1 0 0
  0 0 -1 1 0 1 -2 -1 0
  0 0 0 0 0 0 0 1 1 1 0 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 2 1 2
  -1 -1 0 0 -1 -1 1 0 1
  -2 1 -1 -2 1 1 0 0 -2 -1 0 0 -2 -1 1
  1 1 3 0 0 -1 1 -3 4
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  1 0 1 0 0 0 0 -1 1
  0 0 0 0 0 0 0 1 0 1 -1 0 1 0 0
  -1 0 -1 -1 0 -1 0 1 0
  -1 0 -1 -1 0 0 0 0 -1 0 0 0 -1 -1 0
  0 1 2 0 1 -1 1 -1 2
  24
  0 0 0 0 0 0 1 0 -1 0 0 -1 -2 -1 -1
  1 0 1 0 2 0 0 0 2
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 0 -1 0 0 0 0 1 -1
  0 -1 0 1 0 0 0 0 0 0 0 0 -1 -1 -1
  0 1 0 0 1 0 -1 0 0
  0 0 0 0 0 0 0 1 0 1 -1 1 2 1 1
  -1 0 -1 -1 -1 -1 0 1 0
  0 0 0 0 0 0 0 0 1 -1 0 0 1 0 0
  1 0 0 -1 -1 0 0 0 -1
  1 0 1 1 0 0 0 1 1 1 0 0 1 1 0
  0 0 -1 0 0 0 -1 1 -1
  0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 -1
  1 0 0 0 0 0 0 -1 0
  1 0 1 1 -1 0 0 0 1 1 0 1 3 2 1
  -1 -1 -2 0 -1 0 -1 2 -2
  0 0 0 0 0 -1 -1 0 1 2 0 0 2 1 1
  -2 0 -1 0 0 -1 1 2 -1
  0 0 0 0 0 0 0 0 0 -1 0 0 -1 -1 -1
  1 0 0 0 -1 1 0 -1 -1
  0 0 0 0 0 0 1 0 -1 -2 0 -1 -3 -2 -2
  2 0 1 0 1 1 0 -2 1
  0 1 0 0 0 0 0 0 0 1 0 0 1 1 1
  -1 -1 -1 0 0 -1 1 1 0
  1 0 0 0 0 0 -1 0 1 0 0 0 1 0 0
  0 0 -1 0 -1 1 0 0 -2
  0 -1 0 1 -1 -1 0 0 0 0 0 0 0 0 -1
  0 0 -1 0 1 0 -1 1 -1
  -1 1 0 -1 1 1 1 0 -1 -1 0 0 -1 0 1
  1 0 2 0 0 0 0 -2 3
  -1 1 0 -1 1 1 0 0 -1 -1 0 0 -1 0 1
  1 0 1 0 -1 0 0 -2 2
  0 0 0 0 0 0 0 0 -1 0 0 0 -1 -1 0
  0 0 0 1 1 0 0 -1 1
  1 -1 1 2 -1 0 0 0 1 0 0 0 1 1 -1
  0 0 -2 0 0 1 -2 2 -3
  0 0 0 0 0 0 -1 0 1 1 0 0 2 1 1
  -1 0 -1 0 -1 -1 0 1 -1
  1 0 1 1 0 0 0 0 1 0 0 0 1 1 0
  0 -1 -2 0 0 1 -1 1 -2
  1 0 0 0 -1 -1 -1 0 1 2 0 1 3 1 1
  -2 -1 -2 0 -1 0 1 2 -3
  0 0 0 0 0 0 0 1 0 2 -1 1 2 1 1
  -1 0 -1 -1 0 -2 0 1 1
  0 0 0 0 0 0 0 0 0 1 0 0 1 1 1
  -1 0 0 0 0 -1 0 1 0
  0 0 -1 -1 0 -1 -1 0 0 2 0 0 1 0 1
  -2 0 0 0 0 -1 2 1 0
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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