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 13:28:39 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
  dim14kis588.std
  

• DIMENSION
  14
  

• MINIMAL_NORM
  16
  

• DET
  [ 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 100848, 100848 ]
  

• KISSING_NUMBER
  588
  

• GRAM
  14
  [ 16 -3 -7 -7 6 -8 3 -7 7 -7 3 -7 -4 -8]
  [ -3 16 9 8 4 7 -8 7 -9 -1 -7 4 8 8]
  [ -7 9 18 9 5 4 0 7 -11 5 -8 9 0 8]
  [ -7 8 9 16 -3 3 -7 2 -10 7 -2 1 7 8]
  [ 6 4 5 -3 18 3 4 1 3 1 -8 4 -2 -5]
  [ -8 7 4 3 3 16 -7 4 -4 4 -8 4 6 4]
  [ 3 -8 0 -7 4 -7 16 -4 8 2 -1 -1 -8 -8]
  [ -7 7 7 2 1 4 -4 16 -10 2 0 6 0 8]
  [ 7 -9 -11 -10 3 -4 8 -10 20 -6 0 -2 0 -8]
  [ -7 -1 5 7 1 4 2 2 -6 16 -3 0 0 -1]
  [ 3 -7 -8 -2 -8 -8 -1 0 0 -3 16 -4 -1 1]
  [ -7 4 9 1 4 4 -1 6 -2 0 -4 16 0 8]
  [ -4 8 0 7 -2 6 -8 0 0 0 -1 0 16 7]
  [ -8 8 8 8 -5 4 -8 8 -8 -1 1 8 7 16]
  

• GROUP_ORDER
  [ <2, 4>, <3, 1> ]
  

• GROUP
  4
  14
  [-1 0 1 -1 0 -1 -1 0 0 0 0 0 1 -1]
  [ 0 0 0 0 1 0 0 0 0 0 0 -1 0 1]
  [ 1 0 0 1 0 1 1 0 0 0 0 0 0 0]
  [ 1 0 0 0 0 1 1 0 0 0 0 0 0 1]
  [ 0 0 1 0 0 0 -1 0 0 0 0 0 0 -1]
  [ 0 0 -1 1 1 0 0 0 0 0 0 0 -1 1]
  [ 0 0 1 0 -1 0 0 0 0 0 0 0 0 -1]
  [-1 1 -1 0 1 0 0 -1 0 0 0 -1 -1 1]
  [ 1 -2 0 1 -1 0 0 1 -1 -1 -1 1 1 -1]
  [ 0 1 0 -1 0 0 0 -1 0 1 0 0 -1 1]
  [-1 1 0 -1 0 0 0 -1 0 0 1 0 0 0]
  [ 1 -1 0 1 0 1 0 0 0 0 0 0 0 0]
  [ 1 0 0 0 0 0 0 0 0 0 0 0 0 1]
  [ 1 0 -1 1 0 1 1 0 0 0 0 0 0 1]
  14
  [-1 0 1 -1 0 -1 -1 0 0 0 0 0 0 -1]
  [ 0 0 0 0 0 0 -1 0 0 0 0 0 0 0]
  [ 2 -1 0 1 -1 1 0 1 0 0 0 1 1 -1]
  [ 2 -1 -1 1 -1 1 1 1 -1 0 -1 1 1 0]
  [ 0 1 2 -1 -1 0 -2 0 2 1 1 0 -1 -1]
  [ 0 1 0 1 0 1 0 0 1 0 1 0 -1 0]
  [ 0 -1 0 0 0 0 0 0 0 0 0 0 0 0]
  [ 0 0 1 0 0 0 -1 0 1 0 0 -1 0 0]
  [-2 1 1 -2 1 -1 -1 -1 1 1 1 -1 -1 1]
  [ 2 -1 -1 2 -1 1 1 1 0 0 -1 1 0 0]
  [ 0 -1 0 0 0 0 1 0 -1 -1 -1 0 1 0]
  [ 0 1 1 -1 0 0 -1 -1 1 1 1 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 1 0]
  14
  [ 0 0 0 0 0 0 0 0 0 0 0 0 0 -1]
  [ 0 0 0 0 1 0 0 0 0 0 0 -1 0 1]
  [ 1 -1 1 0 0 0 0 1 0 0 0 0 1 0]
  [ 1 0 0 0 0 0 0 0 0 1 0 0 0 1]
  [ 0 -2 -1 1 1 0 1 1 -1 -1 -1 0 1 0]
  [ 0 -1 -1 1 1 1 1 0 -1 -1 0 0 0 1]
  [ 0 0 1 0 -1 0 0 1 1 0 0 0 0 -1]
  [-1 0 0 -1 1 -1 -1 0 0 0 0 -1 0 1]
  [ 1 -1 -1 2 -1 1 1 1 0 -1 -1 1 0 -1]
  [ 0 0 0 -1 0 0 0 0 0 1 0 0 0 1]
  [-1 2 0 -1 0 -1 -1 -1 1 1 1 0 -1 0]
  [ 1 -1 -1 1 0 0 1 1 -1 -1 -1 1 1 0]
  [ 1 0 -1 1 0 1 1 0 0 0 0 0 0 1]
  [ 1 0 0 0 0 0 0 0 0 0 0 0 0 1]
  14
  [ 1 0 0 0 0 0 0 0 0 0 0 0 0 0]
  [ 0 0 1 0 0 0 -1 0 1 0 0 0 0 0]
  [ 0 -1 0 1 0 0 0 1 0 -1 -1 0 0 0]
  [ 0 0 0 1 0 0 0 1 1 0 0 0 0 0]
  [ 0 -1 -1 1 1 0 0 0 -1 -1 -1 0 0 0]
  [ 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
  [ 0 -1 -1 1 0 0 1 0 -1 -1 -1 0 0 0]
  [ 0 -1 1 0 0 0 -1 0 0 0 0 0 0 0]
  [ 0 1 -1 0 0 0 1 -1 -1 0 0 0 0 0]
  [ 0 -1 -1 1 0 0 0 1 0 0 -1 0 0 0]
  [ 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
  [-2 1 0 -1 1 -1 -1 -1 0 0 0 -1 -1 1]
  [ 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 1]
  

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

• REFERENCES
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe