The Lattice 3.U4(3).2^2

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 14:15:42 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
REFERENCES
PROPERTIES
LAST_LINE

• NAME
  3.U4(3).2^2
  
• DIMENSION
  30
  
• GRAM
  30 0
  6
  3 6
  2 3 6
  2 3 3 6
  2 3 2 2 6
  3 3 2 2 2 6
  2 3 2 2 2 2 6
  2 3 0 3 2 2 2 6
  2 3 2 2 2 2 3 2 6
  2 1 2 0 2 0 1 0 2 6
  0 1 2 2 2 0 1 0 1 2 6
  2 3 2 2 2 2 3 2 3 0 1 6
  2 3 2 2 3 2 2 2 2 2 1 2 6
  3 3 2 2 2 0 2 2 2 2 1 2 2 6
  2 3 2 2 2 2 3 2 0 1 2 0 2 2 6
  2 2 2 3 2 1 2 1 1 2 2 0 0 2 2 6
  2 3 3 3 2 2 2 0 2 1 2 2 2 2 2 1 6
  0 2 2 1 2 0 2 1 1 1 1 0 0 2 2 3 0 6
  1 2 2 2 2 1 2 1 2 1 2 2 0 0 1 2 2 2 6
  2 1 3 2 2 2 1 1 1 2 2 1 2 0 2 2 1 1 1 6
  0 2 2 1 2 2 2 1 2 0 2 2 0 0 1 2 0 2 2 2 6
  0 1 1 2 0 0 3 2 2 1 1 1 0 1 2 2 0 3 2 1 1 6
  2 2 2 3 1 2 2 1 2 1 1 2 1 1 1 3 1 2 2 3 2 2 6
  0 1 1 1 2 2 2 2 0 -1 2 1 1 -1 2 0 1 2 2 2 2 2 0 6
  2 3 2 2 0 2 2 2 2 1 1 2 3 2 2 0 2 0 0 1 0 2 2 1 6
  3 3 2 2 2 3 2 2 2 1 0 2 2 0 2 0 2 0 1 2 1 0 2 1 2 6
  1 1 3 2 2 2 1 1 2 2 2 0 1 1 1 2 1 2 2 2 2 2 2 2 1 0 6
  2 2 2 2 2 2 1 1 1 1 1 1 0 1 0 2 2 2 2 2 1 0 2 2 0 2 2 6
  3 2 2 1 1 1 2 1 2 1 1 2 1 1 1 1 0 2 2 3 2 2 3 2 2 2 1 2 6
  2 2 2 1 0 1 2 1 2 2 1 2 1 2 1 2 0 1 2 2 2 2 2 0 1 0 1 1 3 6
  
• DET
  14348907
  
• DIVISORS
  3^15
  
• MINIMAL_NORM
  6
  
• KISSING_NUMBER
  13320
  
• GROUP_ORDER
  78382080
  
• REFERENCES
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
  
• PROPERTIES
  INTEGRAL=1
  MODULAR=3
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

[ AT&T Labs Research | Our People | Our Work | History | Find ]