The Lattice A8

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)

Last modified Sat Sep 11 13:41:53 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE

• NAME
  A8
  
• DIMENSION
  8
  
• DET
  .900000000000E+01
  
• BASIS
  8 9
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.100000000000E+01
  
• GLUE_VECTORS
  9
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .111111111111E+00 .111111111111E+00 .111111111111E+00
  .111111111111E+00 .111111111111E+00 .111111111111E+00
  .111111111111E+00 .111111111111E+00 -.888888888889E+00
  .222222222222E+00 .222222222222E+00 .222222222222E+00
  .222222222222E+00 .222222222222E+00 .222222222222E+00
  .222222222222E+00 -.777777777778E+00 -.777777777778E+00
  .333333333333E+00 .333333333333E+00 .333333333333E+00
  .333333333333E+00 .333333333333E+00 .333333333333E+00
  -.666666666667E+00 -.666666666667E+00 -.666666666667E+00
  .444444444444E+00 .444444444444E+00 .444444444444E+00
  .444444444444E+00 .444444444444E+00 -.555555555556E+00
  -.555555555556E+00 -.555555555556E+00 -.555555555556E+00
  .555555555556E+00 .555555555556E+00 .555555555556E+00
  .555555555556E+00 -.444444444444E+00 -.444444444444E+00
  -.444444444444E+00 -.444444444444E+00 -.444444444444E+00
  .666666666667E+00 .666666666667E+00 .666666666667E+00
  -.333333333333E+00 -.333333333333E+00 -.333333333333E+00
  -.333333333333E+00 -.333333333333E+00 -.333333333333E+00
  .777777777778E+00 .777777777778E+00 -.222222222222E+00
  -.222222222222E+00 -.222222222222E+00 -.222222222222E+00
  -.222222222222E+00 -.222222222222E+00 -.222222222222E+00
  .888888888889E+00 -.111111111111E+00 -.111111111111E+00
  -.111111111111E+00 -.111111111111E+00 -.111111111111E+00
  -.111111111111E+00 -.111111111111E+00 -.111111111111E+00
  
• TRIANGULAR_BASIS
  8 8
  .141421356237E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  -.707106781187E+00 .122474487139E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.816496580928E+00 .115470053838E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.866025403784E+00
  .111803398875E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.894427191000E+00 .109544511501E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.912870929175E+00 .108012344973E+01
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.925820099773E+00
  .106904496765E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.935414346693E+00 .106066017178E+01
  
• GRAM
  8 8
  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 -1 0
  0 0 0 0 0 -1 2 -1
  0 0 0 0 0 0 -1 2
  
• PROPERTIES
  INTEGRAL =1
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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