The Lattice (D8 x S6).C2

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 13:36:47 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE

• NAME
  (D8 x S6).C2
  
• DIMENSION
  20
  
• GRAM
  20
  3 0 1 0 1 0 0 0 0 1 0 0 0 0 0
  0 0 0 0 0
  0 3 1 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 -1 0
  1 1 3 1 0 0 0 0 0 0 0 0 1 1 0
  0 0 -1 0 0
  0 0 1 3 1 0 1 0 0 0 0 0 0 0 -1
  0 -1 0 0 0
  1 0 0 1 3 0 0 0 0 0 0 0 0 -1 0
  -1 0 0 0 1
  0 0 0 0 0 3 0 1 1 0 -1 1 1 0 0
  0 0 1 0 0
  0 1 0 1 0 0 3 0 1 0 1 0 0 0 0
  0 0 1 0 1
  0 0 0 0 0 1 0 3 0 0 0 0 0 0 1
  0 -1 0 -1 0
  0 0 0 0 0 1 1 0 3 0 0 0 0 0 0
  0 1 0 0 0
  1 0 0 0 0 0 0 0 0 3 1 1 -1 0 0
  0 0 0 0 -1
  0 0 0 0 0 -1 1 0 0 1 3 0 0 0 1
  0 0 0 0 0
  0 0 0 0 0 1 0 0 0 1 0 3 0 0 0
  0 0 0 1 0
  0 0 1 0 0 1 0 0 0 -1 0 0 3 0 0
  0 -1 0 1 0
  0 0 1 0 -1 0 0 0 0 0 0 0 0 3 0
  0 1 0 -1 0
  0 0 0 -1 0 0 0 1 0 0 1 0 0 0 3
  -1 0 -1 0 1
  0 0 0 0 -1 0 0 0 0 0 0 0 0 0 -1
  3 0 0 1 0
  0 0 0 -1 0 0 0 -1 1 0 0 0 -1 1 0
  0 3 0 0 1
  0 0 -1 0 0 1 1 0 0 0 0 0 0 0 -1
  0 0 3 -1 0
  0 -1 0 0 0 0 0 -1 0 0 0 1 1 -1 0
  1 0 -1 3 1
  0 0 0 0 1 0 1 0 0 -1 0 0 0 0 1
  0 1 0 1 3
  
• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3
  
• MINIMAL_NORM
  3
  
• KISSING_NUMBER
  80
  
• GROUP_ORDER
  11520
  
• GROUP_NAME
  (D8 x S6).C2
  
• GROUP_GENERATORS
  3
  20
  -1 -1 1 -1 1 0 1 -1 0 1 -1 0 0 0 1
  1 -1 0 -1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 -1 0 0 0
  1 1 -1 1 -2 0 -2 0 1 0 1 0 0 0 -1
  -1 -1 0 0 2
  0 1 0 0 0 0 -1 0 1 0 0 -1 -1 1 0
  -1 -1 1 2 0
  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 1
  0 0 1 1 -1
  -1 -1 1 -1 1 1 1 -1 0 0 0 0 -1 0 0
  1 -1 -1 -1 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 0 0
  -1 0 1 -1 1 1 1 0 -1 0 0 -1 -1 0 0
  0 0 0 1 -1
  0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
  0 0 0 0 0
  0 0 0 1 0 -1 0 1 0 0 -1 0 0 0 1
  0 1 1 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0
  0 1 0 0 0 0 0 1 0 0 0 -1 -1 1 0
  -1 0 1 3 -1
  20
  1 2 -2 3 -2 -1 -3 1 1 0 1 0 1 0 0
  -1 1 1 1 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 0 0
  0 0 1 -1 1 1 0 0 0 -1 1 -1 -2 1 0
  0 -1 1 2 -1
  0 2 0 0 1 0 -2 1 1 -1 1 -1 -2 2 0
  -1 -1 2 4 -1
  0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
  0 0 0 0 0
  0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 1
  0 0 1 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 -1 0
  0 0 1 -1 0 1 0 0 0 -1 1 0 -2 0 -1
  -1 -1 0 1 0
  0 0 0 1 -1 0 -1 0 0 1 0 0 1 -1 0
  0 1 0 -1 1
  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0
  0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 -1 0 0 0 0 1 0 -1 0 0 1 1 -1 0
  1 1 -1 -2 0
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 -1 0 0 0 1 1 -1 -1 0 0 0 0 0 0
  0 0 -1 -1 0
  0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
  0 0 0 0 0
  0 0 0 1 0 -1 0 1 0 0 -1 0 0 0 1
  0 1 1 1 -1
  0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 0
  0 1 0 0 1 0 0 0 0 -1 0 0 -1 1 1
  0 0 1 2 -2
  20
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 0 0
  1 0 -1 1 -1 0 0 0 0 0 0 0 1 -1 0
  0 1 -1 -1 0
  0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
  0 0 0 0 0
  -1 -1 2 -2 1 0 1 0 0 0 0 0 -1 0 -1
  0 -1 0 0 0
  0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 1
  0 0 1 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0
  1 1 -1 1 -2 0 -2 0 1 0 1 0 0 0 -1
  -1 -1 0 0 2
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0
  0 0 0 -1 1 0 1 0 0 -1 0 0 -1 1 0
  0 -1 0 1 -1
  0 -1 0 0 -1 0 0 0 0 1 0 0 1 -1 -1
  0 0 -1 -2 2
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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