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 13:18:51 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
DIVISORS
BASIS
TRIANGULAR_BASIS
GRAM
NOTES
REFERENCES
LAST_LINE

• NAME
  LAMBDA17
  

• DIMENSION
  17
  

• DET
  256
  

• MINIMAL_NORM
  4
  

• KISSING_NUMBER
  5346
  

• DIVISORS
  2^6*4
  

• BASIS
  17 24
  .000000000000E+00 .000000000000E+00 .400000000000E+01
  -.400000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .400000000000E+01 -.400000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .400000000000E+01
  .400000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .400000000000E+01 .400000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .400000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .400000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .200000000000E+01 .200000000000E+01
  .200000000000E+01 .200000000000E+01 .200000000000E+01
  .200000000000E+01 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .400000000000E+01 .400000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .400000000000E+01
  .400000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .400000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .400000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .200000000000E+01
  .200000000000E+01 .200000000000E+01 .200000000000E+01
  .200000000000E+01 .200000000000E+01 .200000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .400000000000E+01 .400000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .400000000000E+01 .400000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .200000000000E+01
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .200000000000E+01 -.200000000000E+01 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .200000000000E+01
  .000000000000E+00 .000000000000E+00 .200000000000E+01
  -.200000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .200000000000E+01
  .000000000000E+00 .000000000000E+00 .200000000000E+01
  -.200000000000E+01 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .200000000000E+01 -.200000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .200000000000E+01
  .000000000000E+00 .000000000000E+00 .200000000000E+01
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .200000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .200000000000E+01
  .000000000000E+00 .000000000000E+00 .200000000000E+01
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .200000000000E+01 .000000000000E+00 .200000000000E+01
  .000000000000E+00 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .200000000000E+01 .000000000000E+00
  .000000000000E+00 .200000000000E+01 -.200000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .200000000000E+01 -.200000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  

• TRIANGULAR_BASIS
  17 17
  .200000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  -.100000000000E+01 .173205080757E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.115470053838E+01 .163299316186E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .115470053838E+01 .816496580928E+00
  .141421356237E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .141421356237E+01 .141421356237E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .122474487139E+01
  .707106781187E+00 .707106781187E+00 .122474487139E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .163299316186E+01
  .115470053838E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .163299316186E+01
  -.577350269190E+00 .100000000000E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .141421356237E+01 -.362597321469E-15
  .512790049702E-15 .888178419700E-15 .141421356237E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .707106781187E+00 .122474487139E+01
  .000000000000E+00 .000000000000E+00 .707106781187E+00
  .122474487139E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .163299316186E+01 .115470053838E+01 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .163299316186E+01 -.577350269190E+00 .100000000000E+01
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 -.577350269190E+00 .816496580928E+00
  .000000000000E+00 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.628036983474E-15
  .816496580928E+00 .577350269190E+00 -.666133814775E-15
  .100000000000E+01 .000000000000E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .500000000000E+00 .288675134595E+00 .816496580928E+00
  -.314018491737E-15 .314018491737E-15 -.362597321469E-15
  -.866025403784E+00 -.500000000000E+00 .314018491737E-15
  .816496580928E+00 -.288675134595E+00 .500000000000E+00
  -.500000000000E+00 .866025403784E+00 .000000000000E+00
  .000000000000E+00 .000000000000E+00
  .500000000000E+00 .288675134595E+00 .816496580928E+00
  -.314018491737E-15 .314018491737E-15 .816496580928E+00
  -.288675134595E+00 .500000000000E+00 -.314018491737E-15
  .816496580928E+00 -.288675134595E+00 .500000000000E+00
  .500000000000E+00 .288675134595E+00 .816496580928E+00
  .000000000000E+00 .000000000000E+00
  .000000000000E+00 .577350269190E+00 .408248290464E+00
  .707106781187E+00 .707106781187E+00 .408248290464E+00
  -.577350269190E+00 -.222044604925E-15 .707106781187E+00
  .408248290464E+00 -.577350269190E+00 -.222044604925E-15
  .277555756156E-15 .577350269190E+00 .408248290464E+00
  .707106781187E+00 .000000000000E+00
  .500000000000E+00 -.288675134595E+00 .408248290464E+00
  .707106781187E+00 .707106781187E+00 .408248290464E+00
  .288675134595E+00 -.500000000000E+00 .314018491737E-15
  -.181298660735E-15 .256395024851E-15 .100000000000E+01
  .155431223448E-14 .384592537277E-15 .407921986653E-15
  -.314018491737E-15 .100000000000E+01
  

• GRAM
  17 0
  4
  2 4
  0 -2 4
  0 -2 0 4
  0 0 -2 0 4
  -2 -2 0 0 0 4
  0 0 0 0 0 -2 4
  0 0 0 0 0 0 -2 4
  0 0 0 0 1 -1 0 0 4
  0 0 0 0 -1 0 0 0 0 4
  0 0 0 0 0 0 0 0 -2 0 4
  0 0 0 0 0 0 0 0 0 0 -2 4
  1 0 -1 1 1 0 0 -1 1 1 0 -1 4
  -1 -1 1 -1 0 0 1 0 1 1 -1 1 0 4
  0 0 0 0 0 0 0 0 0 -1 0 0 0 1 4
  0 0 0 0 0 0 0 0 -1 1 0 0 1 1 0 4
  0 0 1 0 -2 0 0 0 0 0 0 -1 0 0 0 0 4
  

• NOTES
  A laminated lattice.
  

• REFERENCES
  1. SPLAG p. 157.
  2. W.Plesken, M.Pohst, Constructing integral lattices with prescribed minimum II,
  Math. Comp. Vol 60, N. 202 (1993) 817-825
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe