The Lattice D6

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
BASIS
GLUE_VECTORS
MINVECS
TRIANGULAR_BASIS
GRAM
PROPERTIES
GENUS
LAST_LINE

• NAME
  D6
  
• DIMENSION
  6
  
• DET
  .400000000000E+01
  
• MINIMAL_NORM
  .200000000000E+01
  
• KISSING_NUMBER
  60
  
• BASIS
  6 6
  .100000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  
• GLUE_VECTORS
  4
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  .500000000000E+00 .500000000000E+00 -.500000000000E+00
  
• MINVECS
  60 60.00000000
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .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 .000000000000E+00
  -.100000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .100000000000E+01
  -.100000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 -.100000000000E+01
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 -.100000000000E+01
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .100000000000E+01 -.100000000000E+01 .100000000000E+01
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .100000000000E+01
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .100000000000E+01 -.100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .200000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.200000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.100000000000E+01
  .200000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .100000000000E+01 .000000000000E+00
  -.200000000000E+01 .100000000000E+01 .000000000000E+00
  .000000000000E+00 -.100000000000E+01 .000000000000E+00
  .200000000000E+01 -.100000000000E+01 .000000000000E+00
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  -.200000000000E+01 .100000000000E+01 .000000000000E+00
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .200000000000E+01 -.100000000000E+01 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.200000000000E+01 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.200000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  
• TRIANGULAR_BASIS
  6 6
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  
• GRAM
  6 6
  2 0 1 0 0 0
  0 2 -1 0 0 0
  1 -1 2 -1 0 0
  0 0 -1 2 -1 0
  0 0 0 -1 2 -1
  0 0 0 0 -1 2
  
• PROPERTIES
  INTEGRAL =1
  
• GENUS
  [2, 1, 2]
  [0, 2, 1]
  [0, 4, 2]
  [0, -1, -1]
  [0, 0, 2]
  [1, 2]
  [2, 1]
  [4, 2]
  [4, -2]
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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