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 Wed Feb 15 13:53:20 CET 2012

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIM
BASIS
TRIANGULAR_BASIS
GRAM
DET
GLUE_VECTORS
PROPERTIES
MINIMAL_NORM
KISSING_NUMBER
DENS
HERMITE_NUMBER
DIVISORS
GROUP_ORDER
GROUP_NAME
REFERENCES
LAST_LINE

• NAME
  E8
  

• DIM
  8
  

• BASIS
  8 8
  2 0 0 0 0 0 0 0
  -1 1 0 0 0 0 0 0
  0 -1 1 0 0 0 0 0
  0 0 -1 1 0 0 0 0
  0 0 0 -1 1 0 0 0
  0 0 0 0 -1 1 0 0
  0 0 0 0 0 -1 1 0
  .5 .5 .5 .5 .5 .5 .5 .5
  

• TRIANGULAR_BASIS
  8 8
  2 0 0 0 0 0 0 0
  -1 1 0 0 0 0 0 0
  0 -1 1 0 0 0 0 0
  0 0 -1 1 0 0 0 0
  0 0 0 -1 1 0 0 0
  0 0 0 0 -1 1 0 0
  0 0 0 0 0 -1 1 0
  .5 .5 .5 .5 .5 .5 .5 .5
  

• GRAM
  8 8
  4 -2 0 0 0 0 0 1
  -2 2 -1 0 0 0 0 0
  0 -1 2 -1 0 0 0 0
  0 0 -1 2 -1 0 0 0
  0 0 0 -1 2 -1 0 0
  0 0 0 0 -1 2 -1 0
  0 0 0 0 0 -1 2 0
  1 0 0 0 0 0 0 2
  

• DET
  1
  

• GLUE_VECTORS
  0 0 0 0 0 0 0 0
  

• PROPERTIES
  INTEGRAL=1
  

• MINIMAL_NORM
  2
  

• KISSING_NUMBER
  240
  

• DENS
  0.625000000000D-01
  

• HERMITE_NUMBER
  0.200000000000D+01
  

• DIVISORS
  1 1 1 1 1 1 1 1
  

• GROUP_ORDER
  696729600
  

• GROUP_NAME
  W(E8)
  

• REFERENCES
  SPLAG 120.
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe