The Lattice A10^(3)

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 Sun Jan 4 22:22:30 EST 1998

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
NOTES
REFERENCE
THETA_SERIES
KISSING_NUMBER
LAST_LINE

• NAME
  A10^(3)
  
• DIMENSION
  10
  
• GRAM
  10 10
  6 -1 1 -3 -2 -2 -2 -2 2 -1
  -1 6 2 -1 -1 2 -2 2 -3 2
  1 2 6 -3 0 2 0 -2 0 3
  -3 -1 -3 6 2 1 0 0 -2 -1
  -2 -1 0 2 6 2 3 -2 -2 -2
  -2 2 2 1 2 6 2 -2 -1 0
  -2 -2 0 0 3 2 6 -1 0 -2
  -2 2 -2 0 -2 -2 -1 6 -2 0
  2 -3 0 -2 -2 -1 0 -2 6 0
  -1 2 3 -1 -2 0 -2 0 0 6
  
• DIVISORS
  1 1 1 1 1 11 11 11 11 11
  
• MINIMAL_NORM
  6
  
• GROUP_ORDER
  2640
  
• GROUP_NAME
  C2 x PGL(2,11)
  
• GROUP_GENERATORS
  2
  10
  1 1 0 1 1 0 1 1 1 1
  0 0 0 0 0 0 0 0 1 0
  1 0 1 1 1 0 0 1 1 0
  -2 -1 0 -1 -1 0 -1 -1 -1 -1
  -1 -1 0 -1 0 0 -1 -1 -1 0
  0 -1 0 0 0 1 -1 0 0 0
  0 -1 0 -1 0 1 -1 0 -1 0
  0 0 -1 -1 0 0 0 0 0 0
  1 1 0 1 0 0 1 0 0 0
  0 1 1 1 0 -1 0 0 1 -1
  10
  2 1 0 1 1 0 1 1 1 1
  0 -1 -1 -1 0 1 0 0 -1 1
  1 0 0 1 0 0 1 1 0 1
  -1 -1 0 -1 -1 0 -1 -1 -1 -1
  -1 0 1 0 -1 -1 0 -1 -1 -1
  0 -1 0 0 0 0 0 0 -1 0
  -1 0 1 0 0 -1 0 0 0 -1
  -1 -1 0 -1 0 1 -1 0 0 0
  1 1 0 1 1 0 0 1 1 0
  0 0 -1 0 0 0 0 0 0 1
  
• PROPERTIES
  INTEGRAL=1
  MODULAR=11
  
• NOTES
  The Craig lattice A_10^(3)
  
• REFERENCE
  SPLAG
  
• THETA_SERIES
  1,0,0,110,330,462,1320,2640,3960,7150,9240,15840,20900,29040,36960,
  53614,66330,87120,104280,134640,158532
  
• KISSING_NUMBER
  110
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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