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 13:08:23 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
MINIMAL_NORM
DET
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE

• NAME
  10QF.10.d
  

• DIMENSION
  10
  

• MINIMAL_NORM
  3
  

• DET
  3125
  

• KISSING_NUMBER
  20
  

• GRAM
  10 10
  3 1 0 0 0 -1 1 -1 0 1
  1 3 0 1 0 0 1 0 0 1
  0 0 3 1 0 1 -1 -1 -1 -1
  0 1 1 3 -1 0 -1 -1 1 -1
  0 0 0 -1 3 1 1 2 1 2
  -1 0 1 0 1 3 0 1 0 -1
  1 1 -1 -1 1 0 4 1 -1 2
  -1 0 -1 -1 2 1 1 4 1 2
  0 0 -1 1 1 0 -1 1 4 1
  1 1 -1 -1 2 -1 2 2 1 5
  

• PROPERTIES
  INTEGRAL=1
  MODULAR=5
  

• NOTES
  Optimal 5-modular lattice 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://neilsloane.com/doc/shad.pdf or shad.ps
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe