The Lattice S4(5):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 14:16:22 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

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

• NAME
  S4(5):2
  
• DIMENSION
  26
  
• GRAM
  26 0
  5
  1 5
  -1 0 5
  1 1 -1 5
  1 0 1 1 5
  1 1 -1 1 -1 5
  0 0 -1 -1 -1 1 5
  1 0 -1 -1 -1 -1 0 5
  1 1 1 0 -1 1 1 -1 5
  0 1 1 1 1 -1 -1 -1 1 5
  1 -1 -1 1 1 -1 -1 1 -1 -1 5
  0 1 1 -1 0 -1 -1 1 1 1 1 5
  1 1 1 1 -1 1 -1 -1 1 1 -1 -1 5
  0 -1 1 -1 -1 1 -1 0 1 1 -1 1 1 5
  0 1 -1 0 -1 1 0 1 -1 1 -1 1 0 1 5
  1 1 0 1 -1 1 0 1 1 0 -1 -1 0 0 1 5
  0 0 -1 1 -1 0 1 1 -1 -1 1 -1 0 -1 -1 -1 5
  -1 1 1 -1 1 -1 -1 1 -1 0 -1 1 1 -1 1 -1 -1 5
  1 1 1 1 1 -1 1 0 1 1 1 1 -1 -1 -1 -1 1 -1 5
  0 -1 -1 1 1 1 -1 0 -1 1 0 0 -1 1 1 1 -1 -1 -1 5
  -1 0 -1 -1 -1 -1 1 1 -1 0 1 0 -1 -1 0 -1 1 1 1 -1 5
  -1 1 1 -1 1 1 1 -1 1 0 0 1 -1 0 0 -1 -1 1 1 1 1 5
  0 1 0 -1 1 0 0 1 -1 -1 1 -1 -1 -1 0 1 1 1 -1 -1 1 1 5
  -1 -1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 0 0 -1 -1 -1 -1 1 1 1 1 5
  -1 -1 1 0 1 -1 0 -1 1 1 0 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 5
  -1 0 -1 0 -1 1 0 0 1 0 -1 1 0 1 -1 -1 1 1 -1 1 1 1 -1 -1 1 5
  
• DIVISORS (elementary divisors)
  5^13
  
• MINIMAL_NORM
  5
  
• PROPERTIES
  MODULAR = 5
  
• REFERENCES
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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