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 Jul 18 13:09:34 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE

• NAME
  A20
  

• DIMENSION
  20
  

• DET
  21
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 21
  

• MINIMAL_NORM
  2
  

• KISSING_NUMBER
  420
  

• GROUP_ORDER
  102181884343418880000
  

• GROUP_NAME
  C2 x S21 = C2 x W(A20)
  

• GROUP_GENERATORS
  2
  20
  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 -1 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 0 1
  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 0 0 0 0 0 0 0 0 0 0
  -1 0 0 0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
  0 0 0 0 1
  0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
  0 0 0 0 1
  0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
  0 0 0 0 1
  0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
  0 0 0 0 1
  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 -1 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 1
  0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
  0 0 0 0 1
  0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
  0 0 0 0 1
  0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1
  20
  -1 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 1 -1
  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 -1 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 -1
  0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
  0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
  0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
  0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
  0 0 0 1 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 -1 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 1 0
  0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
  0 0 0 1 0
  0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 1 0
  0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0
  0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0
  0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0
  0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 1 0
  

• BASIS
  20 21
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  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  

• GLUE_VECTORS
  21
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• GRAM
  20 20
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  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 -1 2 -1
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  0 0 -1 2
  

• PROPERTIES
  INTEGRAL =1
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe