The Lattice 8QF.8.d

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 23:56:20 EDT 2001

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
MINIMAL_NORM
DET
KISSING_NUMBER
GRAM
GROUP_ORDER
PROPERTIES
NOTES
REFERENCES
LAST_LINE

• NAME
  8QF.8.d
  
• DIMENSION
  8
  
• MINIMAL_NORM
  4
  
• DET
  14641
  
• KISSING_NUMBER
  16
  
• GRAM
  8 8
  4 0 -1 -1 -1 1 -1 1
  0 4 -1 0 1 1 0 -2
  -1 -1 4 -1 1 0 1 1
  -1 0 -1 4 -1 -1 -2 -1
  -1 1 1 -1 4 0 1 -1
  1 1 0 -1 0 4 -2 0
  -1 0 1 -2 1 -2 6 -2
  1 -2 1 -1 -1 0 -2 6
  
• GROUP_ORDER
  64
  
• PROPERTIES
  INTEGRAL=1
  MODULAR=11
  
• NOTES
  Extremal 11-modular, in the genus "-".
  
• 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

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