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 13:09:17 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
LAST_LINE

• NAME
  A15+
  

• DIMENSION
  15
  

• DET
  1
  

• MINIMAL_NORM
  2
  

• KISSING_NUMBER
  240
  

• GRAM
  15 15
  2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 -1
  0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0
  0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0
  0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0
  0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0
  0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0
  0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0
  0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0
  0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0
  0 0 0 0 0 0 0 0 0 0 0 0 -1 2 0
  0 0 0 -1 0 0 0 0 0 0 0 0 0 0 3
  

• PROPERTIES
  INTEGRAL =1
  

• NOTES
  The unique indecomposable 15-d unimodular lattice.
  Theta series: see sequence A004536.
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe