The Lattice O(7)

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

Last modified Thu Jun 28 23:55:54 EDT 2001

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
MINIMAL_NORM
DET
GRAM
PROPERTIES
KISSING_NUMBER
GROUP_ORDER
NOTES
REFERENCES
LAST_LINE

• NAME
  O(7)
  
• DIMENSION
  6
  
• MINIMAL_NORM
  3
  
• DET
  343
  
• GRAM
  6 6
  3 1 -1 1 0 0
  1 3 1 1 1 1
  -1 1 3 0 0 1
  1 1 0 4 2 2
  0 1 0 2 4 2
  0 1 1 2 2 4
  
• PROPERTIES
  INTEGRAL=1
  MODULAR=7
  
• KISSING_NUMBER
  8
  
• GROUP_ORDER
  48
  
• NOTES
  The odd associate of the extremal 7-modular 6-dim lattice
  
• REFERENCES
  E. M. Rains and N. J. A. Sloane,
  The Shadow Theory of Modular and Unimodular Lattices,
  J. Number Theory, 73 (1998), pp. 359-389;
  http://www.research.att.com/~njas/doc/shad.pdf or shad.ps
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

[ AT&T Labs Research | Our People | Our Work | History | Find ]