An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University (nebe@math.rwth-aachen.de) and
Neil J. A. Sloane (njasloane@gmail.com)

Last modified Fri Jul 18 13:19:25 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE

• NAME
  Leech
  

• DIMENSION
  24
  

• GRAM
  24
  4 -2 -2 2 2 2 -1 -1 2 2 -2 2 -2 1 -1
  1 1 2 0 -1 0 -2 -2 2
  -2 4 0 0 -2 0 -1 2 0 0 2 -1 1 1 -1
  1 -2 -2 -1 1 1 2 1 -2
  -2 0 4 0 0 -2 0 0 0 0 2 0 0 -2 1
  -1 -1 -1 1 -1 -1 1 0 -1
  2 0 0 4 0 0 -2 -1 2 2 0 2 -2 1 0
  2 -1 0 -1 0 1 -1 -1 0
  2 -2 0 0 4 0 -1 -1 1 1 -1 1 -1 0 0
  -1 0 2 0 -2 -2 -1 -2 2
  2 0 -2 0 0 4 0 0 1 1 -1 1 -1 1 -1
  1 1 0 1 0 1 0 -1 1
  -1 -1 0 -2 -1 0 4 1 -1 -1 0 -2 2 0 0
  0 2 -1 0 0 -1 1 2 -1
  -1 2 0 -1 -1 0 1 4 1 1 2 -1 1 0 -1
  1 -1 -1 -1 -1 -1 1 1 -1
  2 0 0 2 1 1 -1 1 4 2 0 2 -2 1 0
  1 -1 0 -1 -2 0 -1 -1 0
  2 0 0 2 1 1 -1 1 2 4 0 1 -2 0 -1
  1 -1 1 0 -1 -1 -1 -1 1
  -2 2 2 0 -1 -1 0 2 0 0 4 0 1 -1 0
  1 -1 -2 0 0 0 2 1 -2
  2 -1 0 2 1 1 -2 -1 2 1 0 4 -2 0 1
  0 0 1 0 -1 1 -2 -2 1
  -2 1 0 -2 -1 -1 2 1 -2 -2 1 -2 4 0 -1
  0 1 -1 -1 1 0 2 2 -2
  1 1 -2 1 0 1 0 0 1 0 -1 0 0 4 -1
  1 0 -1 -2 0 0 0 0 0
  -1 -1 1 0 0 -1 0 -1 0 -1 0 1 -1 -1 4
  -1 -1 0 0 0 0 -1 0 0
  1 1 -1 2 -1 1 0 1 1 1 1 0 0 1 -1
  4 0 -1 -1 0 1 1 0 -1
  1 -2 -1 -1 0 1 2 -1 -1 -1 -1 0 1 0 -1
  0 4 1 1 0 0 0 0 0
  2 -2 -1 0 2 0 -1 -1 0 1 -2 1 -1 -1 0
  -1 1 4 1 -1 -1 -2 -2 2
  0 -1 1 -1 0 1 0 -1 -1 0 0 0 -1 -2 0
  -1 1 1 4 0 0 0 -1 1
  -1 1 -1 0 -2 0 0 -1 -2 -1 0 -1 1 0 0
  0 0 -1 0 4 2 0 2 -1
  0 1 -1 1 -2 1 -1 -1 0 -1 0 1 0 0 0
  1 0 -1 0 2 4 0 1 -1
  -2 2 1 -1 -1 0 1 1 -1 -1 2 -2 2 0 -1
  1 0 -2 0 0 0 4 1 -2
  -2 1 0 -1 -2 -1 2 1 -1 -1 1 -2 2 0 0
  0 0 -2 -1 2 1 1 4 -2
  2 -2 -1 0 2 1 -1 -1 0 1 -2 1 -2 0 0
  -1 0 2 1 -1 -1 -2 -2 4
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
  

• MINIMAL_NORM
  4
  

• KISSING_NUMBER
  196560
  

• GROUP_ORDER
  8315553613086720000
  

• GROUP_NAME
  C2.Co1
  

• GROUP_GENERATORS
  2
  24
  -1 -1 -1 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 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
  -2 -1 -1 1 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 1 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 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  0 -1 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 1 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  -2 -1 -1 0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0
  -2 -1 -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 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 0 0 0 0 0 0
  -1 -1 -1 0 0 0 0 -1 1 0 1 -1 0 0 0
  0 0 0 0 0 0 0 0 0
  2 1 1 0 0 0 0 1 -1 -1 0 0 -1 0 0
  0 0 0 0 0 0 0 0 0
  -2 0 -1 2 1 1 0 1 0 -1 -1 0 0 -1 0
  0 0 0 0 0 0 0 0 0
  -4 -2 -1 2 1 1 0 0 1 0 0 0 0 0 -1
  0 0 0 0 0 0 0 0 0
  -2 -1 -1 3 1 1 0 2 -1 -1 0 0 0 0 0
  -1 0 0 0 0 0 0 0 0
  3 0 0 -2 -1 -1 0 -1 0 0 1 0 0 0 0
  0 -1 0 0 0 0 0 0 0
  2 0 0 -2 -1 -1 0 -1 0 1 0 0 0 0 0
  0 0 -1 0 0 0 0 0 0
  3 1 1 -3 -1 -1 0 -2 0 1 1 0 0 0 0
  0 0 0 -1 0 0 0 0 0
  1 1 -1 -1 -1 -1 0 -2 0 1 1 0 0 0 0
  0 0 0 0 -1 0 0 0 0
  1 1 -1 -1 -1 -1 0 -2 1 0 1 0 0 0 0
  0 0 0 0 0 -1 0 0 0
  0 1 1 1 1 1 0 1 -1 -1 0 0 0 0 0
  0 0 0 0 0 0 -1 0 0
  0 0 -1 -1 -1 -1 0 -1 1 1 1 0 0 0 0
  0 0 0 0 0 0 0 -1 0
  -1 -1 0 1 1 1 0 1 -1 0 -1 0 0 0 0
  0 0 0 0 0 0 0 0 -1
  24
  0 2 1 3 3 0 1 3 -1 -1 -2 0
  0 0 1 0 1 0 1 1 1 0 0 0
  2 -1 0 -3 -3 -1 -1 -2 1 1 1 0
  0 0 0 0 0 0 -1 0 -1 1 0 0
  0 -1 0 -1 -1 1 0 -2 0 0 2 -1
  0 0 -1 0 -1 1 -1 -1 0 -1 0 0
  4 0 1 -2 -2 -1 -1 -1 0 1 1 -1
  1 1 1 0 0 0 0 0 0 0 0 0
  -3 0 0 3 3 1 1 2 0 -1 -1 0
  0 0 0 0 0 1 1 1 1 0 0 0
  2 3 0 0 1 -1 1 0 0 0 -1 0
  0 -1 1 0 1 -1 0 0 0 0 0 0
  1 2 1 0 1 0 1 1 -1 -1 -1 1
  -1 0 0 0 0 0 0 0 0 0 0 0
  2 0 2 -3 -1 -1 0 0 0 0 0 1
  -1 1 0 1 0 1 -1 1 0 1 0 0
  0 0 2 2 2 1 0 3 -1 -1 -1 -1
  0 1 1 0 1 1 0 1 1 0 0 0
  1 1 1 1 1 0 1 1 0 -1 0 0
  0 0 0 0 0 1 0 1 0 0 0 0
  11 -1 1 -16 -11 -5 -3 -11 4 6 6 -1
  2 2 1 2 -2 0 -3 -1 -1 1 -1 1
  1 2 1 1 1 0 1 0 0 0 0 -1
  1 0 1 0 1 0 0 0 1 -1 0 1
  6 2 1 -7 -4 -3 -1 -4 1 2 1 1
  0 0 1 1 0 -1 -1 0 -1 1 0 1
  -6 2 1 12 8 4 3 9 -4 -5 -5 1
  -2 -1 0 -2 2 1 2 1 1 0 1 -1
  0 -2 -1 -2 -2 0 -1 -2 1 1 2 -1
  1 1 0 0 -1 0 0 -1 0 -1 0 0
  2 0 1 -1 0 -1 0 1 -1 0 -1 1
  -1 1 0 0 0 0 0 1 0 1 0 -1
  -2 3 1 5 4 2 2 3 -2 -2 -2 0
  -1 -1 0 -1 1 0 0 0 1 -1 0 0
  -8 0 -1 9 6 3 2 5 -1 -3 -2 0
  -1 -1 -1 -1 1 1 1 1 1 -1 0 0
  -1 0 -2 -1 -1 0 1 -3 1 1 2 -1
  0 -1 -1 0 -1 0 -1 -1 0 -1 -1 0
  8 0 -1 -10 -8 -4 -3 -7 3 4 3 0
  2 0 1 1 -1 -2 -1 -1 -2 1 0 1
  8 -1 -1 -11 -8 -5 -4 -7 3 6 3 -1
  3 1 2 1 0 -3 -1 -1 -1 1 -1 1
  8 -1 0 -12 -8 -4 -3 -8 3 5 4 -1
  1 1 1 1 -1 -1 -2 -1 -1 1 -1 0
  12 -2 0 -17 -12 -6 -5 -10 4 7 5 0
  3 2 2 2 -2 -2 -2 -1 -2 2 -1 1
  -2 0 -1 2 2 0 1 1 0 0 0 0
  0 0 0 0 0 0 1 0 1 0 0 0
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe