The Lattice D4

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

• NAME
  D4
  
• DIMENSION
  4
  
• DET
  4
  
• MINIMAL_NORM
  2
  
• KISSING_NUMBER
  24
  
• DENSITY
  .125000000000E+00
  
• HERMITE_NUMBER
  .141421356237E+01
  
• BASIS
  4 4
  .100000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01
  
• GLUE_VECTORS
  4
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  .500000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  -.500000000000E+00
  
• TRIANGULAR_BASIS
  4 4
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01
  
• GRAM
  4 4
  2 0 1 0
  0 2 -1 0
  1 -1 2 -1
  0 0 -1 2
  
• DIVISORS
  1 1 2 2
  
• GROUP_ORDER
  1152
  
• GROUP_NAME
  W(F4)
  
• GROUP_GENERATORS
  2
  4
  -1 1 -1 -1
  -1 0 0 0
  0 -1 1 0
  0 -1 0 1
  4
  0 1 -1 -1
  0 0 0 -1
  -1 1 0 -1
  0 -1 0 0
  
• PROPERTIES
  INTEGRAL =1
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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