The Lattice A5

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
GROUP_ORDER
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE

• NAME
  A5
  
• DIMENSION
  5
  
• DET
  .600000000000E+01
  
• GROUP_ORDER
  1440
  
• BASIS
  5 6
  .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
  6
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .166666666667E+00 .166666666667E+00 .166666666667E+00
  .166666666667E+00 .166666666667E+00 -.833333333333E+00
  .333333333333E+00 .333333333333E+00 .333333333333E+00
  .333333333333E+00 -.666666666667E+00 -.666666666667E+00
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  -.500000000000E+00 -.500000000000E+00 -.500000000000E+00
  .666666666667E+00 .666666666667E+00 -.333333333333E+00
  -.333333333333E+00 -.333333333333E+00 -.333333333333E+00
  .833333333333E+00 -.166666666667E+00 -.166666666667E+00
  -.166666666667E+00 -.166666666667E+00 -.166666666667E+00
  
• TRIANGULAR_BASIS
  5 5
  .141421356237E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  -.707106781187E+00 .122474487139E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.816496580928E+00 .115470053838E+01
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 -.866025403784E+00
  .111803398875E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  -.894427191000E+00 .109544511501E+01
  
• GRAM
  5 5
  2 -1 0 0 0
  -1 2 -1 0 0
  0 -1 2 -1 0
  0 0 -1 2 -1
  0 0 0 -1 2
  
• PROPERTIES
  INTEGRAL =1
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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