The Lattice 6QF.6.c

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 23:55:21 EDT 2001

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
MINIMAL_NORM
DET
KISSING_NUMBER
GRAM
GROUP_ORDER
PROPERTIES
NOTES
REFERENCES
MAGMA
LAST_LINE

• NAME
  6QF.6.c
  
• DIMENSION
  6
  
• MINIMAL_NORM
  4
  
• DET
  1331
  
• KISSING_NUMBER
  6
  
• GRAM
  6 6
  4 0 0 -2 -1 2
  0 4 0 -1 2 2
  0 0 4 -2 2 -1
  -2 -1 -2 5 -1 -1
  -1 2 2 -1 5 0
  2 2 -1 -1 0 5
  
• GROUP_ORDER
  48
  
• PROPERTIES
  INTEGRAL=1
  MODULAR=11
  
• NOTES
  In good genus.
  There is just one other extremal lattice in this genus, namely
  [ 4 0 0 2 -2 1]
  [ 0 4 0 1 -2 -2]
  [ 0 0 4 2 -1 2]
  [ 2 1 2 5 -2 1]
  [ -2 -2 -1 -2 5 0]
  [ 1 -2 2 1 0 5]
  
• 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
  
• MAGMA
  L6 := LatticeWithGram(6, [
  4, 0, 0, -2, -1, 2,
  0, 4, 0, -1, 2, 2,
  0, 0, 4, -2, 2, -1,
  -2, -1, -2, 5, -1, -1,
  -1, 2, 2, -1, 5, 0,
  2, 2, -1, -1, 0, 5]);
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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