The Lattice O(15)

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 23:57:26 EDT 2001

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
GRAM
GROUP_ORDER
PROPERTIES
NOTES
REFERENCES
LAST_LINE

• NAME
  O(15)
  
• DIMENSION
  4
  
• DET
  225
  
• MINIMAL_NORM
  3
  
• GRAM
  4 4
  3 1 0 -1
  1 3 1 0
  0 1 6 2
  -1 0 2 6
  
• GROUP_ORDER
  4
  
• PROPERTIES
  INTEGRAL=1
  MODULAR=15
  
• NOTES
  Strongly 15-modular
  The odd associate of the extremal strongly 15-modular even lattice E(15).
  
• 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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