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 13:22:03 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
NOTES
LAST_LINE

• NAME
  (SL(2,5) Y SL(2,9)):C2
  

• DIMENSION
  16
  

• GRAM
  16
  10 3 4 -3 -5 4 -3 5 -2 -5 5 5 3 -5 -1 5
  3 10 5 -5 2 5 -3 2 -3 -5 4 5 -2 -5 3 -1
  4 5 10 -5 -2 0 -5 5 -5 -3 1 5 2 -3 -2 3
  -3 -5 -5 10 3 -5 0 -2 0 5 1 -5 3 0 -3 2
  -5 2 -2 3 10 -1 -2 -5 -2 3 0 0 -4 0 -1 -3
  4 5 0 -5 -1 10 2 2 0 -5 3 3 -2 -2 5 -1
  -3 -3 -5 0 -2 2 10 -2 2 2 -2 -5 0 4 2 -5
  5 2 5 -2 -5 2 -2 10 0 -5 0 1 4 -5 2 5
  -2 -3 -5 0 -2 0 2 0 10 -2 -4 -2 0 3 3 -1
  -5 -5 -3 5 3 -5 2 -5 -2 10 -2 -2 1 5 -4 0
  5 4 1 1 0 3 -2 0 -4 -2 10 3 0 -5 -2 3
  5 5 5 -5 0 3 -5 1 -2 -2 3 10 0 -2 -2 2
  3 -2 2 3 -4 -2 0 4 0 1 0 0 10 -2 -2 5
  -5 -5 -3 0 0 -2 4 -5 3 5 -5 -2 -2 10 -2 -3
  -1 3 -2 -3 -1 5 2 2 3 -4 -2 -2 -2 -2 10 -3
  5 -1 3 2 -3 -1 -5 5 -1 0 3 2 5 -3 -3 10
  

• DIVISORS
  1 1 1 1 1 1 1 1 15 15 15 15 15 15 15 15
  

• MINIMAL_NORM
  10
  

• KISSING_NUMBER
  1440
  

• GROUP_ORDER
  86400
  

• GROUP_NAME
  (SL(25) Y SL(29)):C2
  

• GROUP_GENERATORS
  2
  16
  1 0 1 1 1 -1 2 -1 0 -1 -1 1 -1 0 1 2
  1 0 2 1 0 0 1 -1 1 1 0 0 -1 0 1 1
  1 -1 3 2 1 0 2 -1 1 0 0 1 -1 0 2 1
  0 1 -1 -1 0 0 -1 0 0 0 0 -1 1 0 -1 -1
  0 1 0 0 -1 1 -1 0 1 2 0 -1 0 -1 -1 -1
  0 1 -2 -1 0 -1 0 1 -1 0 0 0 0 1 0 1
  -1 0 -2 -2 0 0 -2 2 -1 0 1 -1 1 1 -1 -1
  1 -1 1 0 2 -2 2 0 0 -1 1 1 0 1 2 1
  -1 0 -1 0 -1 -1 0 0 -1 -1 0 1 0 0 0 0
  0 0 -1 -1 0 1 -2 1 0 1 0 -1 1 0 -1 -2
  1 1 0 0 0 0 0 -1 0 0 -1 -1 0 0 0 1
  1 0 1 2 0 0 1 -1 0 0 -1 1 -1 0 1 1
  1 0 1 1 1 -1 1 0 0 -1 0 1 0 1 1 0
  -2 0 -2 -1 -1 1 -2 1 -1 0 0 0 1 0 -1 -1
  0 0 -1 -1 0 -1 0 1 0 0 1 0 0 1 0 0
  1 0 1 1 1 -1 2 -1 0 -1 -1 1 0 0 1 1
  16
  0 0 1 1 0 -1 2 -1 0 -1 0 1 -1 0 1 2
  1 0 1 1 0 0 1 -1 1 0 -1 0 -1 -1 0 1
  1 0 0 0 1 -1 1 0 0 -1 0 0 0 1 1 1
  -1 0 -1 -2 0 1 -2 1 0 1 1 -1 1 0 -1 -1
  0 -1 1 0 0 2 -1 0 1 1 0 -1 0 -1 -1 -1
  0 0 0 1 -1 0 1 -1 0 0 -1 1 -1 -1 0 1
  0 0 0 0 -1 0 -1 0 0 1 0 0 0 0 0 -1
  0 1 -2 -1 0 -1 0 0 -1 -1 0 0 1 1 0 1
  -1 1 -1 1 -1 0 0 0 -1 -1 -1 1 0 0 -1 0
  0 -1 -1 -2 1 0 -2 2 0 1 2 -1 1 1 0 -2
  0 0 1 0 0 0 1 0 1 1 0 0 -1 -1 0 1
  1 -1 1 1 1 -1 2 0 0 -1 0 1 -1 0 1 1
  -1 0 -2 -2 0 -1 -1 1 -1 -1 1 0 1 1 0 0
  0 0 -1 0 0 0 -1 1 -1 0 0 0 0 1 0 -1
  0 1 -1 0 -1 0 0 -1 0 0 -1 0 0 -1 -1 0
  -1 0 -2 -2 1 -1 0 1 -1 -1 1 0 1 1 0 1
  

• PROPERTIES
  MODULAR = 15
  

• NOTES
  strongly 15-modular, extremal
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe