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 13:20:20 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
REFERENCES
LAST_LINE

• NAME
  hat(A)30^(4)
  

• DIMENSION
  30
  

• GRAM
  30 0
  8
  3 8
  2 1 8
  1 -1 -2 8
  0 2 0 -4 8
  1 2 2 -2 1 8
  0 1 1 -1 0 2 8
  0 1 2 1 -1 3 1 8
  1 -1 0 3 0 1 2 -1 8
  0 2 -1 0 0 1 0 1 -3 8
  -1 -2 3 0 -1 1 3 -1 3 -2 8
  0 -1 -2 1 -3 0 -1 0 0 -2 0 8
  0 0 -2 -1 0 0 0 -2 0 2 2 1 8
  2 -1 1 -2 1 2 0 0 0 0 -1 -1 2 8
  0 -1 -1 3 -4 -1 -2 2 -1 -1 0 3 0 -1 8
  0 -1 -1 2 -2 -2 0 -3 3 0 0 1 0 -2 0 8
  -1 1 0 0 3 1 -2 -1 1 0 0 -1 1 0 -2 -1 8
  1 0 -2 1 0 -2 -3 -1 -1 1 -4 1 -1 2 -1 0 2 8
  2 0 2 0 0 2 1 2 -1 3 0 -2 -3 -1 0 -1 -2 0 8
  -3 0 -1 1 -1 -1 -1 -2 2 -1 2 2 2 -3 0 2 3 0 -3 8
  1 0 1 1 -2 -3 1 0 -3 1 0 -1 -2 -1 1 -1 -2 0 3 -2 8
  0 0 -1 2 -2 1 0 1 1 -1 -2 1 -1 1 3 -1 0 1 -1 1 -2 8
  0 2 -1 1 -1 1 4 2 1 0 0 1 0 -3 1 3 -1 -3 -1 0 -1 0 8
  3 0 2 2 -3 0 3 -1 1 1 2 1 -1 -1 1 2 -1 -1 3 -1 3 -1 2 8
  0 2 2 -2 1 -1 2 1 -1 -3 2 -1 -2 -2 -1 -3 -2 -2 0 0 2 -1 0 -2 8
  1 1 -1 -2 2 -1 -1 -2 -3 -1 -3 2 0 1 2 0 0 0 -1 -2 1 0 1 1 -1 8
  -1 -1 -1 3 -3 -3 -2 -1 -1 3 0 -2 1 -1 3 2 -2 0 0 1 2 1 -1 0 -2 -2 8
  -1 -1 -1 2 -4 -2 -2 1 -2 2 -3 0 0 0 3 3 0 2 -2 0 0 2 2 0 -3 0 4 8
  3 1 0 2 -2 0 -1 0 -1 1 -2 2 0 1 -1 -1 2 4 0 0 0 1 -1 3 -2 0 -2 1 8
  0 -3 0 2 -3 -3 -3 1 -2 0 0 0 -1 0 4 -2 -2 0 1 -3 3 0 -3 1 0 0 3 2 0 8
  

• DIVISORS (elementary divisors)
  31^7
  

• MINIMAL_NORM
  8
  

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

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe