The Lattice D12+

An entry from the Catalogue of Lattices, which is a joint project of
Neil J. A. Sloane, AT&T Labs-Research (njas@research.att.com) and
Gabriele Nebe, University of Ulm (nebe@mathematik.uni-ulm.de)

Last modified Thu Jun 11 22:37:40 EDT 1998

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
LAST_LINE

• NAME
  D12+
  
• DIMENSION
  12
  
• DET
  1
  
• MINIMAL_NORM
  2
  
• KISSING_NUMBER
  
• GRAM
  12 12
  2 0 1 0 0 0 0 0 0 0 0 -1
  0 2 -1 0 0 0 0 0 0 0 0 0
  1 -1 2 -1 0 0 0 0 0 0 0 0
  0 0 -1 2 -1 0 0 0 0 0 0 0
  0 0 0 -1 2 -1 0 0 0 0 0 0
  0 0 0 0 -1 2 -1 0 0 0 0 0
  0 0 0 0 0 -1 2 -1 0 0 0 0
  0 0 0 0 0 0 -1 2 -1 0 0 0
  0 0 0 0 0 0 0 -1 2 -1 0 0
  0 0 0 0 0 0 0 0 -1 2 -1 0
  0 0 0 0 0 0 0 0 0 -1 2 0
  -1 0 0 0 0 0 0 0 0 0 0 3
  
• PROPERTIES
  INTEGRAL =1
  
• NOTES
  The unique indecomposable 12-d unimodular lattice.
  Theta series: see sequence A014745.
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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