The Lattice L2(13)S3.2

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

Last modified Wed Jul 21 14:15:36 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  L2(13)S3.2
  
• DIMENSION
  28
  
• GRAM
  28 0
  22
  9 22
  9 8 22
  3 9 9 22
  9 9 7 5 22
  9 3 2 4 6 22
  9 9 9 8 9 9 22
  6 2 7 3 3 8 7 22
  9 8 9 9 9 9 9 8 22
  6 8 -4 7 4 11 9 7 6 22
  6 6 6 9 5 5 2 2 3 5 22
  3 3 5 10 11 3 6 9 9 5 1 22
  9 5 4 0 6 10 2 10 4 5 3 3 22
  11 4 9 3 8 2 2 5 6 -1 10 4 8 22
  6 6 9 7 11 5 3 3 7 4 2 10 7 9 22
  6 11 7 3 6 3 9 10 4 4 0 9 10 5 6 22
  3 6 8 7 8 1 6 0 1 1 -2 4 5 2 9 6 22
  4 4 6 9 0 5 5 11 10 10 3 9 -1 1 5 2 -3 22
  7 3 7 3 4 10 9 10 1 3 2 5 7 3 1 6 6 1 22
  0 3 -4 4 5 8 0 4 9 10 0 7 8 0 5 0 0 5 0 22
  1 7 5 5 6 3 3 -1 0 4 10 3 7 10 8 8 2 0 2 4 22
  -1 3 3 8 3 0 5 1 9 2 4 6 -3 2 2 3 3 4 3 1 2 22
  10 9 6 3 3 0 0 4 7 0 4 3 9 6 0 9 1 0 3 6 3 6 22
  10 9 5 3 3 5 6 9 1 7 3 3 7 1 0 9 -3 6 3 4 3 -5 10 22
  7 9 3 7 2 8 8 0 3 9 8 1 1 8 6 3 6 4 8 0 10 3 -3 -3 22
  7 2 1 3 2 0 -2 5 6 6 8 4 7 10 5 4 -1 5 1 5 5 2 5 0 5 22
  8 3 2 10 5 9 8 6 9 9 9 7 3 5 -4 0 0 6 8 8 1 4 6 6 5 9 22
  6 0 2 5 7 7 4 5 0 7 10 5 9 5 2 3 -2 1 8 1 10 3 3 4 2 4 7 22
  
• DIVISORS (elementary divisors)
  3^14*13^14
  
• MINIMAL_NORM
  22
  
• PROPERTIES
  MODULAR = 39
  
• REFERENCES
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
  
• NOTES
  Strongly 39-modular.
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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