The Lattice S9

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 14:14:55 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

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

• NAME
  S9
  
• DIMENSION
  27
  
• GRAM
  27 0
  4
  2 4
  0 1 4
  1 2 2 4
  2 1 0 1 4
  2 1 1 2 2 4
  0 0 1 0 0 1 4
  0 1 2 1 0 0 1 4
  2 1 0 1 2 2 0 1 4
  1 1 0 1 2 1 0 0 1 4
  1 1 0 1 1 1 0 0 2 1 4
  1 1 0 2 2 1 0 0 1 2 1 4
  0 0 1 0 0 0 1 1 0 -1 0 0 4
  1 2 0 1 2 1 0 0 1 2 1 2 0 4
  0 1 2 1 0 0 2 2 0 0 0 0 1 0 4
  0 0 1 0 0 0 1 2 2 0 1 0 1 0 1 4
  0 0 1 0 0 0 1 1 0 1 0 0 2 0 1 1 4
  2 1 0 2 1 1 0 0 1 1 1 2 0 1 0 0 0 4
  1 2 2 1 0 0 1 2 0 0 0 0 1 0 2 1 1 0 4
  1 2 1 2 1 1 0 2 2 1 1 1 0 1 1 1 0 1 1 4
  1 1 0 2 1 1 0 0 2 1 2 2 0 1 0 1 0 2 0 1 4
  1 2 0 1 1 1 0 0 2 1 2 1 0 2 0 1 0 1 0 1 2 4
  2 1 0 1 1 1 0 0 1 1 2 1 0 2 0 0 0 2 0 1 1 1 4
  1 0 1 0 0 0 2 1 0 0 0 0 1 0 2 1 1 1 1 0 0 0 1 4
  0 0 1 0 1 0 2 1 0 2 0 1 1 1 2 1 2 0 1 0 0 0 0 2 4
  1 1 0 1 1 1 0 0 1 2 2 1 1 1 0 0 2 1 0 1 1 1 2 0 1 4
  0 0 1 0 0 0 2 1 1 0 1 0 1 0 2 2 1 0 1 0 1 1 0 2 2 0 4
  
• DIVISORS (elementary divisors)
  4*7^8
  
• MINIMAL_NORM
  4
  
• REFERENCES
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
  
• NOTES
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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