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 13:28:36 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
MINIMAL_NORM
DET
KISSING_NUMBER
GRAM
GROUP_ORDER
GROUP
NOTES
REFERENCES
LAST_LINE

• NAME
  dim14kis552.std
  

• DIMENSION
  14
  

• MINIMAL_NORM
  24
  

• DET
  [ 1, 1, 1, 1, 2, 2, 2, 2, 12, 12, 12, 12, 12264, 36792 ]
  

• KISSING_NUMBER
  552
  

• GRAM
  14
  [ 24 11 -12 -12 7 8 -10 -3 -1 11 12 12 0 -12]
  [ 11 24 1 -12 10 7 -8 8 -9 10 13 7 -7 0]
  [-12 1 24 11 -9 4 6 12 4 3 -5 -1 5 12]
  [-12 -12 11 24 -7 -7 7 1 1 1 -13 -8 12 3]
  [ 7 10 -9 -7 24 5 2 -7 0 10 10 8 -12 2]
  [ 8 7 4 -7 5 24 -6 8 8 5 1 5 -1 4]
  [-10 -8 6 7 2 -6 24 1 1 -6 3 -1 -1 2]
  [ -3 8 12 1 -7 8 1 26 -9 -1 -5 -2 8 -1]
  [ -1 -9 4 1 0 8 1 -9 24 6 -3 2 0 5]
  [ 11 10 3 1 10 5 -6 -1 6 28 4 14 -2 -2]
  [ 12 13 -5 -13 10 1 3 -5 -3 4 26 13 -13 -5]
  [ 12 7 -1 -8 8 5 -1 -2 2 14 13 24 -8 -5]
  [ 0 -7 5 12 -12 -1 -1 8 0 -2 -13 -8 24 -7]
  [-12 0 12 3 2 4 2 -1 5 -2 -5 -5 -7 24]
  

• GROUP_ORDER
  [ <2, 2>, <3, 2> ]
  

• GROUP
  3
  14
  [ 1 0 2 0 1 0 0 0 0 -1 -1 0 -1 -1]
  [ 1 -1 2 0 1 0 -1 0 0 -1 0 0 -1 -1]
  [-1 0 -2 0 -1 1 0 0 0 1 1 0 1 1]
  [ 0 0 -1 0 0 0 0 0 0 0 0 0 1 1]
  [ 0 1 1 0 0 0 0 -1 0 -1 -1 1 0 -1]
  [ 1 0 1 0 0 0 0 0 0 0 0 0 0 0]
  [-1 0 -1 -1 -1 1 1 -1 -1 1 0 0 1 0]
  [ 2 -1 1 0 0 0 0 0 0 0 0 -1 -1 0]
  [-1 0 0 -1 0 0 0 0 0 1 0 0 1 0]
  [ 0 1 0 0 0 0 0 0 1 -1 -1 1 0 0]
  [-1 0 1 -1 0 1 0 -1 -1 0 0 0 0 -1]
  [-1 2 -1 0 -1 1 1 -1 0 0 -1 1 0 0]
  [ 1 -1 1 0 1 0 0 0 0 0 0 -1 0 0]
  [-2 1 -3 1 -2 1 0 0 0 1 1 1 1 1]
  14
  [-1 0 0 0 -1 1 0 -1 -1 1 0 0 0 0]
  [ 1 -2 2 0 1 0 -1 0 -1 0 0 -1 -1 -1]
  [ 0 -1 1 -1 1 0 0 0 0 0 0 -1 0 -1]
  [ 0 1 -1 0 -1 0 1 0 1 0 0 0 0 0]
  [ 1 -1 1 0 0 0 0 0 -1 0 0 0 0 0]
  [ 0 -1 2 -1 1 0 0 -1 -1 0 -1 0 0 -1]
  [ 0 0 0 -1 0 0 0 0 0 0 0 0 1 0]
  [ 2 -2 3 -1 2 -1 -1 0 0 -1 -1 -1 -1 -1]
  [-1 0 0 -1 0 1 1 -1 -1 1 0 0 1 0]
  [ 0 0 0 0 -1 1 1 -1 -1 1 0 -1 0 0]
  [-1 0 -1 0 -1 1 0 0 -1 1 0 0 0 0]
  [ 0 -1 1 -1 0 0 0 0 -1 1 0 -1 0 0]
  [ 0 0 0 0 0 0 0 0 1 0 0 0 0 0]
  [ 0 0 1 0 1 0 0 0 0 -1 0 0 0 -1]
  14
  [-1 -1 1 -1 0 1 0 -1 -1 1 0 -1 0 -1]
  [ 1 -1 1 0 0 0 0 0 0 0 0 -1 -1 -1]
  [ 1 0 0 0 1 -1 0 1 1 -1 0 0 0 0]
  [-1 2 -2 0 -1 0 1 0 1 0 0 1 1 1]
  [ 0 0 0 0 -1 0 0 0 0 0 0 0 0 0]
  [ 1 -3 3 -2 2 -1 -1 0 -1 0 0 -1 0 -1]
  [ 1 0 1 0 1 -1 -1 1 1 -1 0 0 0 0]
  [ 2 -2 3 -1 2 -1 -1 0 0 -1 0 -1 -1 -1]
  [ 0 -1 1 -1 1 0 0 0 -1 0 0 0 1 0]
  [-1 1 -1 0 -1 1 1 -1 0 0 0 0 1 0]
  [ 1 0 1 0 0 0 0 0 0 0 -1 -1 -1 -1]
  [ 0 0 0 0 0 0 0 0 0 0 0 -1 0 0]
  [ 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0]
  [ 0 1 -1 1 0 -1 0 1 1 -1 0 1 0 0]
  

• NOTES
  Perfect lattice found by Yoav Kallus using an annealing strategy
  

• REFERENCES
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe