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 13:08:26 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIM
DET
KISSING_NUMBER
GROUP_ORDER
NOTES
GRAM
LAST_LINE

• NAME
  25MIN2
  

• DIM
  25
  

• DET
  1
  

• KISSING_NUMBER
  2
  

• GROUP_ORDER
  

• NOTES
  Borcherds has classified all 25-d unimodular lattices.
  This (Leech + Z) has the smallest kissing number.
  

• GRAM
  25 25
  8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2 4 2 2 2 0 0 0 -3 0
  4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 1 0 0 -1 0
  4 2 4 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 0 0 -1 0
  4 2 2 4 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 1 0 0 -1 0
  4 2 2 2 4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 0 0 -1 0
  4 2 2 2 2 4 2 2 2 2 2 1 2 2 1 1 2 1 2 1 0 0 0 -1 0
  4 2 2 2 2 2 4 2 2 2 2 1 2 1 2 1 2 1 1 2 0 0 0 -1 0
  2 2 2 2 2 2 2 4 1 1 1 2 1 2 2 2 1 2 2 2 2 0 0 1 0
  4 2 2 2 2 2 2 1 4 2 2 2 2 2 2 2 2 2 2 2 1 1 1 -1 0
  4 2 2 2 2 2 2 1 2 4 2 2 2 2 1 1 2 2 1 1 0 1 0 -1 0
  4 2 2 2 2 2 2 1 2 2 4 2 2 1 2 1 2 1 2 1 0 0 1 -1 0
  2 2 2 2 1 1 1 2 2 2 2 4 1 2 2 2 1 2 2 2 2 1 1 1 0
  4 2 2 2 2 2 2 1 2 2 2 1 4 2 2 2 2 1 1 1 1 1 1 -1 0
  2 2 1 1 2 2 1 2 2 2 1 2 2 4 2 2 1 2 2 2 2 2 1 1 0
  2 1 2 1 2 1 2 2 2 1 2 2 2 2 4 2 1 2 2 2 2 1 2 1 0
  2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 4 1 2 2 2 2 1 1 1 0
  4 2 2 2 2 2 2 1 2 2 2 1 2 1 1 1 4 2 2 2 1 1 1 -1 0
  2 1 2 1 2 1 1 2 2 2 1 2 1 2 2 2 2 4 2 2 2 2 1 1 0
  2 1 1 2 2 2 1 2 2 1 2 2 1 2 2 2 2 2 4 2 2 1 2 1 0
  2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 2 4 2 1 1 1 0
  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 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 0 1 0 1 1 1 1 2 1 1 1 2 1 2 2 4 2 0
  -3 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 1 2 2 2 4 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
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe