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 13:17:24 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
TRIANGULAR_BASIS
GRAM
PROPERTIES
NOTES
LAST_LINE

• NAME
  KAPPA7*
  

• DIMENSION
  7
  

• DET
  .119439360000E+08
  

• MINIMAL_NORM
  12
  

• KISSING_NUMBER
  2
  

• TRIANGULAR_BASIS
  7 7
  .435889894354E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00
  .596480908063E+01 .405228980104E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00
  .344123600806E+01 .233785950060E+01 .311324712998E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00
  -.412948320967E+01 -.280543140072E+01 .889499179993E+00
  .320713490295E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00
  .321182027419E+01 .218200220056E+01 .592999453329E+00
  -.160356745147E+01 .316227766017E+01 .000000000000E+00
  .000000000000E+00
  -.917662935482E+00 -.623429200159E+00 -.237199781332E+01
  -.106904496765E+01 -.126491106407E+01 .252982212813E+01
  .000000000000E+00
  -.137649440322E+01 -.935143800239E+00 .296499726664E+00
  .106904496765E+01 -.126491106407E+01 -.632455532034E+00
  .244948974278E+01
  

• GRAM
  7 7
  19 26 15 -18 14 -4 -6
  26 52 30 -36 28 -8 -12
  15 30 27 -18 18 -12 -6
  -18 -36 -18 36 -24 0 12
  14 28 18 -24 28 -8 -12
  -4 -8 -12 0 -8 16 0
  -6 -12 -6 12 -12 0 12
  

• PROPERTIES
  INTEGRAL =1
  

• NOTES
  Obtained by multiplying gram matrix for:
  KAPPA7*
  by
  0.240000000000D+02
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe