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 13:21:21 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
PROPERTIES
NOTES
REFERENCES
KISSING_NUMBER
THETA_SERIES
GRAM
BASIS (on a different scale)
LAST_LINE

• NAME
  Odd Leech
  

• DIMENSION
  24
  

• DET
  1
  

• MINIMAL_NORM
  3
  

• PROPERTIES
  INTEGRAL =1
  

• NOTES
  Odd Leech lattice
  

• REFERENCES
  SPLAG
  

• KISSING_NUMBER
  4096
  

• THETA_SERIES
  1,0,0,4096,98256,1130496,8384512,...
  

• GRAM
  24 24
  8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2 4 2 2 2 0 0 0 1
  4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 1 0 0 1
  4 2 4 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 0 0 1
  4 2 2 4 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 1 0 0 1
  4 2 2 2 4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 0 0 1
  4 2 2 2 2 4 2 2 2 2 2 1 2 2 1 1 2 1 2 1 0 0 0 1
  4 2 2 2 2 2 4 2 2 2 2 1 2 1 2 1 2 1 1 2 0 0 0 1
  2 2 2 2 2 2 2 4 1 1 1 2 1 2 2 2 1 2 2 2 2 0 0 2
  4 2 2 2 2 2 2 1 4 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1
  4 2 2 2 2 2 2 1 2 4 2 2 2 2 1 1 2 2 1 1 0 1 0 1
  4 2 2 2 2 2 2 1 2 2 4 2 2 1 2 1 2 1 2 1 0 0 1 1
  2 2 2 2 1 1 1 2 2 2 2 4 1 2 2 2 1 2 2 2 2 1 1 2
  4 2 2 2 2 2 2 1 2 2 2 1 4 2 2 2 2 1 1 1 1 1 1 1
  2 2 1 1 2 2 1 2 2 2 1 2 2 4 2 2 1 2 2 2 2 2 1 2
  2 1 2 1 2 1 2 2 2 1 2 2 2 2 4 2 1 2 2 2 2 1 2 2
  2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 4 1 2 2 2 2 1 1 2
  4 2 2 2 2 2 2 1 2 2 2 1 2 1 1 1 4 2 2 2 1 1 1 1
  2 1 2 1 2 1 1 2 2 2 1 2 1 2 2 2 2 4 2 2 2 2 1 2
  2 1 1 2 2 2 1 2 2 1 2 2 1 2 2 2 2 2 4 2 2 1 2 2
  2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 2 4 2 1 1 2
  0 1 1 1 1 0 0 2 1 0 0 2 1 2 2 2 1 2 2 2 4 2 2 2
  0 0 0 0 0 0 0 0 1 1 0 1 1 2 1 1 1 2 1 1 2 4 2 2
  0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 1 1 1 2 1 2 2 4 2
  1 1 1 1 1 1 1 2 1 1 1 2 1 2 2 2 1 2 2 2 2 2 2 3
  

• BASIS (on a different scale)
  24 24
  8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0
  2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0
  2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0
  2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0
  2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0
  2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0
  2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0
  0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0
  0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0
  0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe