The Lattice A6*

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)

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIM
GRAM
MINIMAL_NORM
DET
PROPERTIES
DIVISORS
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
NOTES
REFERENCES
LAST_LINE

• NAME
  A6*
  
• DIM
  6
  
• GRAM
  6 6
  6 -1 -1 -1 -1 -1
  -1 6 -1 -1 -1 -1
  -1 -1 6 -1 -1 -1
  -1 -1 -1 6 -1 -1
  -1 -1 -1 -1 6 -1
  -1 -1 -1 -1 -1 6
  
• MINIMAL_NORM
  6
  
• DET
  16807
  
• PROPERTIES
  INTEGRAL=1
  
• DIVISORS
  1 7 7 7 7 7
  
• KISSING_NUMBER
  14
  
• GROUP_ORDER
  10080
  
• GROUP_NAME
  C2 x S7 = C2 x W(A6)
  
• GROUP_GENERATORS
  2
  6
  0 -1 0 0 0 0
  0 0 -1 0 0 0
  0 0 0 -1 0 0
  0 0 0 0 -1 0
  0 0 0 0 0 -1
  1 1 1 1 1 1
  6
  0 1 0 0 0 0
  1 0 0 0 0 0
  0 0 1 0 0 0
  0 0 0 1 0 0
  0 0 0 0 1 0
  0 0 0 0 0 1
  
• NOTES
  Dual to A6
  
• REFERENCES
  SPLAG p. 114
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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