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 13:25:57 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
MINVECS
KISSING_NUMBER
DENSITY (center density)
HERMITE_NUMBER
GROUP_ORDER
GROUP_GENERATORS
BACHER_POLYNOMIALS
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  Q30
  

• DIMENSION
  30
  

• GRAM
  30 0
  6
  -3 6
  3 -2 6
  -2 -1 1 6
  2 -2 -1 0 6
  -2 1 -3 1 -1 6
  -2 3 -1 -1 0 -2 6
  2 0 3 -1 -2 0 0 6
  0 1 2 -1 -3 -2 2 3 6
  -3 1 -3 1 -1 1 2 -2 1 6
  3 -1 0 -3 1 0 -2 0 -2 -3 6
  3 -3 3 0 2 -3 0 0 1 -1 1 6
  -2 -1 -1 0 -1 0 1 0 2 3 -1 1 6
  0 -2 1 3 2 0 -2 -2 -3 -1 -1 0 -1 6
  2 0 3 -2 -2 -2 0 3 2 -3 2 0 -1 -2 6
  -3 1 -1 1 0 -1 3 0 1 1 -2 -1 1 0 -1 6
  -2 2 -3 -2 0 0 1 -1 0 1 0 -3 1 0 0 1 6
  2 -3 1 1 0 -1 -2 0 0 1 1 1 0 0 0 -1 -2 6
  2 -3 0 -1 3 -1 -2 -1 -2 -1 2 1 1 2 -1 0 0 1 6
  1 0 -1 -2 2 -2 0 -2 0 0 2 1 1 0 0 0 1 1 2 6
  -2 -1 -1 3 0 0 0 -3 -1 3 -3 0 1 2 -3 0 -1 2 0 0 6
  -2 3 -2 -2 -2 0 3 1 2 1 0 -2 2 -2 1 2 3 -2 -1 0 -2 6
  0 1 -1 1 -1 0 1 -1 1 1 -1 -1 -1 0 0 0 0 1 -2 1 2 1 6
  -3 3 -2 1 -1 1 3 0 0 3 -2 -3 1 -1 0 1 2 -1 -2 -1 1 2 1 6
  -2 1 -2 -1 1 -1 1 -3 -2 0 1 0 0 0 -1 2 2 -1 1 1 0 1 -1 0 6
  0 -2 2 1 -2 1 -2 2 0 -1 1 0 1 0 2 -1 -1 2 -1 -1 0 -1 -1 0 -1 6
  2 -1 3 1 -1 -2 -1 0 0 -2 2 2 -2 1 1 0 -2 2 0 0 0 -1 1 -2 0 1 6
  -2 -1 0 0 -3 1 0 1 2 2 -1 -1 3 -1 1 1 1 0 0 -2 0 1 -1 1 0 2 -1 6
  -2 3 -2 0 0 1 1 0 1 0 0 -1 0 -1 -1 2 1 -1 -1 1 -1 2 1 0 1 -2 -1 -1 6
  2 1 0 -1 -1 0 0 1 0 0 1 0 -1 -2 0 -2 -1 1 -1 0 0 0 2 0 -1 -1 1 -2 0 6
  

• DIVISORS (elementary divisors)
  2^12*6*18
  

• MINIMAL_NORM
  6
  

• MINVECS
  

• KISSING_NUMBER
  2*40155
  

• DENSITY (center density)
  

• HERMITE_NUMBER
  

• GROUP_ORDER
  

• GROUP_GENERATORS
  

• BACHER_POLYNOMIALS
  

• PROPERTIES
  

• REFERENCES
  Optimal section of dimension 30 in Q32
  

• NOTES
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe