The Lattice J2:2

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 14:15:30 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

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

• NAME
  J2:2
  
• DIMENSION
  28
  
• GRAM
  28 0
  8
  -4 8
  -4 0 8
  -2 4 2 8
  -4 2 4 4 8
  -4 4 0 0 2 8
  0 2 2 0 2 0 8
  1 2 1 4 0 0 2 8
  3 0 -1 -2 -4 -2 0 2 8
  3 -4 1 -2 -2 -2 -2 -2 0 8
  -2 2 -2 2 2 0 0 0 -2 -2 8
  2 -2 2 0 -2 -2 0 0 2 2 -2 8
  0 2 -2 -2 0 4 0 0 0 0 0 -4 8
  -2 4 0 0 0 2 0 -2 2 -2 -2 0 2 8
  -3 -1 4 -2 0 1 0 -1 1 2 0 2 0 -1 8
  -2 -2 0 -2 2 2 0 -4 -4 0 2 -1 -1 -2 2 8
  1 2 -3 -2 -3 0 2 1 4 -2 0 -2 2 3 -1 -2 8
  1 -1 1 -1 -2 -3 2 -1 0 2 -2 0 -2 0 -1 0 2 8
  -2 0 1 -2 2 0 0 -4 -1 0 -1 -1 0 3 0 1 -1 1 8
  4 -2 -2 0 -3 -4 -2 2 4 0 -1 2 -2 0 -2 -4 0 -1 -1 8
  -3 2 -1 2 1 2 0 -1 -3 -2 2 0 -2 0 0 2 -1 -2 0 -1 8
  2 -3 1 1 2 -1 0 0 -3 2 -1 2 -2 -2 -1 1 -4 -2 1 1 1 8
  2 2 0 3 1 -2 2 1 2 -1 -1 2 -2 3 -2 -2 1 1 0 2 0 0 8
  -4 3 2 3 4 4 2 1 -4 -2 2 -2 0 0 0 3 -2 -1 0 -4 2 1 0 8
  -4 0 2 0 0 0 -2 -3 -1 1 2 2 -2 0 4 2 -1 0 0 -2 3 -2 -2 0 8
  0 -1 0 -1 -1 -2 -1 0 2 0 3 0 0 0 2 0 0 0 0 2 -2 -2 1 -1 0 8
  -4 4 2 1 0 1 1 1 1 -1 2 -2 1 2 2 -1 2 1 0 -1 0 -4 -1 2 2 2 8
  0 -2 2 2 0 -4 -3 0 -1 2 0 2 -2 0 0 -2 -2 0 0 2 -1 1 0 -2 2 1 1 8
  
• DIVISORS (elementary divisors)
  3^2*5^14
  
• MINIMAL_NORM
  8
  
• REFERENCES
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
  
• NOTES
  Has extremal 5-modular overlattice invariant under J2.
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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