The Lattice KAPPA10

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 Wed Apr 7 09:06:02 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
HERMITE_NUMBER
BASIS
TRIANGULAR_BASIS
GRAM
LAST_LINE

• NAME
  KAPPA10
  
• DIMENSION
  10
  
• DET
  972
  
• MINIMAL_NORM
  4
  
• KISSING_NUMBER
  276
  
• HERMITE_NUMBER
  .201045040825E+01
  
• BASIS
  10 24
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 -4 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 -4 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0
  0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0
  4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0
  2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0
  -3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
  
• TRIANGULAR_BASIS
  10 10
  2 0 0 0 0 0 0 0 0 0
  -1 .173205080757E+01 0 0 0 0 0 0 0 0
  0 -.115470053838E+01 .163299316186E+01 0 0 0 0 0 0 0
  0 .115470053838E+01 .816496580928E+00 .141421356237E+01 0 0 0 0 0 0
  0 0 0 .141421356237E+01 .141421356237E+01 0 0 0 0 0
  0 0 .122474487139E+01 .707106781187E+00 .707106781187E+00 .122474487139E+01 0 0 0 0
  0 0 0 0 .141421356237E+01 -.362597321469E-15 .141421356237E+01 0 0 0
  0 0 .122474487139E+01 .707106781187E+00 0 0 .707106781187E+00 .122474487139E+01 0 0
  0 0 .122474487139E+01 -.314018491737E-15 .707106781187E+00 -.362597321469E-15 .707106781187E+00 .181298660735E-15 .122474487139E+01 0
  0 0 .612372435696E+00 .353553390593E+00 .353553390593E+00 .612372435696E+00 -.106066017178E+01 .612372435696E+00 .612372435696E+00 .106066017178E+01
  
• GRAM
  10 10
  4 -2 0 0 0 0 0 0 0 0
  -2 4 -2 2 0 0 0 0 0 0
  0 -2 4 0 0 2 0 2 2 1
  0 2 0 4 2 2 0 2 1 1
  0 0 0 2 4 2 2 1 1 1
  0 0 2 2 2 4 1 2 2 2
  0 0 0 0 2 1 4 1 2 -1
  0 0 2 2 1 2 1 4 2 1
  0 0 2 1 1 2 2 2 4 1
  0 0 1 1 1 2 -1 1 1 4
  #GROUP_ORDER
  15552 = 2^6*3^5
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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