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 13:20:02 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
REFERENCES
LAST_LINE

• NAME
  S8
  

• DIMENSION
  28
  

• GRAM
  28 0
  4
  1 4
  -2 -2 4
  1 0 0 4
  -2 0 1 -1 4
  1 -1 1 1 -2 4
  -1 -1 0 -2 1 -1 4
  0 2 -1 -1 0 -1 -1 4
  0 -1 0 1 -1 1 1 -2 4
  2 2 -1 1 -1 1 -2 1 -1 4
  1 1 0 1 -1 1 -2 1 -1 2 4
  2 0 -1 2 -2 1 -2 0 0 1 1 4
  -1 -1 1 1 0 0 -1 0 0 -1 0 1 4
  -1 0 1 1 0 1 0 -1 2 0 0 -1 0 4
  -1 1 -1 -1 1 -2 1 1 0 -1 -2 -1 1 0 4
  -1 -1 1 1 1 -1 -1 0 -1 -1 0 1 2 -1 0 4
  -1 -1 1 -1 1 -1 0 1 -2 -1 1 0 1 -2 -1 2 4
  -1 0 1 1 1 -1 0 -1 1 0 0 -1 0 2 0 0 -1 4
  0 1 0 -1 0 1 -1 2 -2 1 1 0 0 -1 0 0 1 -2 4
  1 1 0 1 -2 2 -2 1 0 2 2 1 0 1 -1 -1 -1 0 1 4
  -1 1 -1 -2 1 -2 2 1 0 -1 -1 -2 -1 0 2 -1 0 0 0 -1 4
  -2 0 1 0 2 -1 1 -1 1 -1 -1 -2 0 2 1 0 -1 2 -1 -1 1 4
  2 0 -1 1 -2 1 -1 0 0 1 2 2 0 -1 -2 0 1 -1 0 1 -1 -2 4
  1 0 0 2 -2 2 -1 -1 2 1 1 1 0 2 -1 -1 -2 1 -1 2 -1 0 1 4
  0 -1 1 2 -1 1 -2 0 0 0 1 2 2 0 -1 2 1 0 0 1 -2 -1 1 1 4
  -1 1 1 2 1 0 -1 -1 1 0 0 0 1 2 0 1 -1 2 -1 0 -1 2 -1 1 1 4
  -1 -1 0 0 1 -1 2 -2 2 -2 -2 -1 0 1 1 0 -1 1 -2 -2 1 2 -1 0 -1 1 4
  1 1 -2 -1 -1 -1 0 2 -1 0 0 1 0 -2 1 0 1 -2 1 0 1 -2 1 -1 0 -2 -1 4
  

• DIVISORS (elementary divisors)
  2^6*5^7
  

• MINIMAL_NORM
  4
  

• REFERENCES
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe