An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University (nebe@math.rwth-aachen.de) and
Neil J. A. Sloane (njasloane@gmail.com)

Last modified Fri May 17 10:24:52 CEST 2019

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_GENERATORS
GROUP_NAME
GROUP_ORDER
LAST_LINE

• NAME
  KAPPA10adual
  

• DIMENSION
  10
  

• DIVISORS
  1 1 2 2 2 6 6 6 6 6
  

• MINIMAL_NORM
  6
  

• KISSING_NUMBER
  240
  

• GRAM
  10 10
  6 -2 2 1 1 2 -1 3 3 -3
  -2 6 -2 -1 -1 2 3 -3 -3 -1
  2 -2 6 -1 3 -2 -1 3 1 -3
  1 -1 -1 6 -3 -1 -3 -2 3 -1
  1 -1 3 -3 6 1 2 3 -2 -2
  2 2 -2 -1 1 6 3 1 -1 -1
  -1 3 -1 -3 2 3 6 -1 -2 0
  3 -3 3 -2 3 1 -1 6 1 -1
  3 -3 1 3 -2 -1 -2 1 6 0
  -3 -1 -3 -1 -2 -1 0 -1 0 6
  
  

• GROUP_GENERATORS
  3
  10 10
  0 0 0 -1 0 0 0 0 1 0
  0 -1 0 0 -1 0 0 0 -1 0
  -1 0 0 -1 1 1 -1 -1 1 0
  0 0 0 1 0 -1 1 1 0 0
  0 -1 0 0 -1 0 1 0 0 0
  0 -1 0 1 -1 0 1 1 -1 0
  1 0 0 0 0 -1 1 0 0 0
  0 0 0 -1 1 1 -1 -1 1 0
  0 0 -1 0 0 0 0 0 0 -1
  10 10
  0 1 0 1 1 0 0 1 0 1
  1 1 0 0 0 -1 0 0 0 0
  -1 0 -1 0 0 0 0 1 0 -1
  1 0 0 1 0 0 0 0 -1 1
  -1 0 -1 -1 1 0 -1 0 1 -1
  1 1 0 0 1 -1 0 0 0 1
  0 1 0 -1 1 0 -1 -1 1 0
  -1 0 0 0 0 0 0 1 0 0
  0 0 1 1 0 1 0 0 -1 1
  0 -1 1 -1 -1 1 0 -1 0 0
  10 10
  1 1 1 1 0 0 0 0 -1 1
  0 -1 0 -1 -1 0 0 0 0 -1
  1 1 0 0 0 0 0 0 0 1
  0 0 0 1 0 0 0 0 0 0
  1 0 0 0 0 0 0 0 -1 1
  1 0 0 0 0 -1 0 0 -1 0
  0 0 0 -1 0 0 -1 0 0 0
  1 1 0 1 0 -1 1 1 -1 1
  0 1 1 1 0 0 0 0 0 1
  -1 0 0 0 1 0 0 0 1 0
  

• GROUP_NAME
  (Sp4(3)xC6).2
  

• GROUP_ORDER
  311040 = 2^8 * 3^5 * 5
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe