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 13:09:18 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE

• NAME
  A15
  

• DIMENSION
  15
  

• DET
  16
  

• DIVISORS
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
  

• MINIMAL_NORM
  2
  

• KISSING_NUMBER
  240
  

• GROUP_ORDER
  41845579776000
  

• GROUP_NAME
  C2 x S16 = C2 x W(A15)
  

• GROUP_GENERATORS
  2
  15
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0
  0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0
  0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0
  0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0
  0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0
  0 0 0 0 0 0 0 -1 0 0 0 0 0 1 0
  0 0 0 0 0 0 -1 0 0 0 0 0 0 1 0
  0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0
  0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0
  0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0
  0 0 -1 0 0 0 0 0 0 0 0 0 0 1 0
  0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0
  -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  15
  -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0
  0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0
  0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0
  0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0
  0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0
  0 0 0 0 0 0 0 -1 0 0 0 0 0 1 0
  0 0 0 0 0 0 -1 0 0 0 0 0 0 1 0
  0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0
  0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0
  0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0
  0 0 -1 0 0 0 0 0 0 0 0 0 0 1 0
  0 -1 0 0 0 0 0 0 0 0 0 0 0 1 0
  

• BASIS
  15 16
  .100000000000E+01 -.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
  .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.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
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.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 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.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 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.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
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.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 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.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 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.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
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.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 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.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 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.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
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.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 .000000000000E+00 .000000000000E+00
  .100000000000E+01 -.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 .000000000000E+00
  .000000000000E+00 .100000000000E+01 -.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
  .000000000000E+00 .000000000000E+00 .100000000000E+01
  -.100000000000E+01
  

• GLUE_VECTORS
  16
  .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
  .625000000000E-01 .625000000000E-01 .625000000000E-01
  .625000000000E-01 .625000000000E-01 .625000000000E-01
  .625000000000E-01 .625000000000E-01 .625000000000E-01
  .625000000000E-01 .625000000000E-01 .625000000000E-01
  .625000000000E-01 .625000000000E-01 .625000000000E-01
  -.937500000000E+00
  .125000000000E+00 .125000000000E+00 .125000000000E+00
  .125000000000E+00 .125000000000E+00 .125000000000E+00
  .125000000000E+00 .125000000000E+00 .125000000000E+00
  .125000000000E+00 .125000000000E+00 .125000000000E+00
  .125000000000E+00 .125000000000E+00 -.875000000000E+00
  -.875000000000E+00
  .187500000000E+00 .187500000000E+00 .187500000000E+00
  .187500000000E+00 .187500000000E+00 .187500000000E+00
  .187500000000E+00 .187500000000E+00 .187500000000E+00
  .187500000000E+00 .187500000000E+00 .187500000000E+00
  .187500000000E+00 -.812500000000E+00 -.812500000000E+00
  -.812500000000E+00
  .250000000000E+00 .250000000000E+00 .250000000000E+00
  .250000000000E+00 .250000000000E+00 .250000000000E+00
  .250000000000E+00 .250000000000E+00 .250000000000E+00
  .250000000000E+00 .250000000000E+00 .250000000000E+00
  -.750000000000E+00 -.750000000000E+00 -.750000000000E+00
  -.750000000000E+00
  .312500000000E+00 .312500000000E+00 .312500000000E+00
  .312500000000E+00 .312500000000E+00 .312500000000E+00
  .312500000000E+00 .312500000000E+00 .312500000000E+00
  .312500000000E+00 .312500000000E+00 -.687500000000E+00
  -.687500000000E+00 -.687500000000E+00 -.687500000000E+00
  -.687500000000E+00
  .375000000000E+00 .375000000000E+00 .375000000000E+00
  .375000000000E+00 .375000000000E+00 .375000000000E+00
  .375000000000E+00 .375000000000E+00 .375000000000E+00
  .375000000000E+00 -.625000000000E+00 -.625000000000E+00
  -.625000000000E+00 -.625000000000E+00 -.625000000000E+00
  -.625000000000E+00
  .437500000000E+00 .437500000000E+00 .437500000000E+00
  .437500000000E+00 .437500000000E+00 .437500000000E+00
  .437500000000E+00 .437500000000E+00 .437500000000E+00
  -.562500000000E+00 -.562500000000E+00 -.562500000000E+00
  -.562500000000E+00 -.562500000000E+00 -.562500000000E+00
  -.562500000000E+00
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  .500000000000E+00 .500000000000E+00 .500000000000E+00
  .500000000000E+00 .500000000000E+00 -.500000000000E+00
  -.500000000000E+00 -.500000000000E+00 -.500000000000E+00
  -.500000000000E+00 -.500000000000E+00 -.500000000000E+00
  -.500000000000E+00
  .562500000000E+00 .562500000000E+00 .562500000000E+00
  .562500000000E+00 .562500000000E+00 .562500000000E+00
  .562500000000E+00 -.437500000000E+00 -.437500000000E+00
  -.437500000000E+00 -.437500000000E+00 -.437500000000E+00
  -.437500000000E+00 -.437500000000E+00 -.437500000000E+00
  -.437500000000E+00
  .625000000000E+00 .625000000000E+00 .625000000000E+00
  .625000000000E+00 .625000000000E+00 .625000000000E+00
  -.375000000000E+00 -.375000000000E+00 -.375000000000E+00
  -.375000000000E+00 -.375000000000E+00 -.375000000000E+00
  -.375000000000E+00 -.375000000000E+00 -.375000000000E+00
  -.375000000000E+00
  .687500000000E+00 .687500000000E+00 .687500000000E+00
  .687500000000E+00 .687500000000E+00 -.312500000000E+00
  -.312500000000E+00 -.312500000000E+00 -.312500000000E+00
  -.312500000000E+00 -.312500000000E+00 -.312500000000E+00
  -.312500000000E+00 -.312500000000E+00 -.312500000000E+00
  -.312500000000E+00
  .750000000000E+00 .750000000000E+00 .750000000000E+00
  .750000000000E+00 -.250000000000E+00 -.250000000000E+00
  -.250000000000E+00 -.250000000000E+00 -.250000000000E+00
  -.250000000000E+00 -.250000000000E+00 -.250000000000E+00
  -.250000000000E+00 -.250000000000E+00 -.250000000000E+00
  -.250000000000E+00
  .812500000000E+00 .812500000000E+00 .812500000000E+00
  -.187500000000E+00 -.187500000000E+00 -.187500000000E+00
  -.187500000000E+00 -.187500000000E+00 -.187500000000E+00
  -.187500000000E+00 -.187500000000E+00 -.187500000000E+00
  -.187500000000E+00 -.187500000000E+00 -.187500000000E+00
  -.187500000000E+00
  .875000000000E+00 .875000000000E+00 -.125000000000E+00
  -.125000000000E+00 -.125000000000E+00 -.125000000000E+00
  -.125000000000E+00 -.125000000000E+00 -.125000000000E+00
  -.125000000000E+00 -.125000000000E+00 -.125000000000E+00
  -.125000000000E+00 -.125000000000E+00 -.125000000000E+00
  -.125000000000E+00
  .937500000000E+00 -.625000000000E-01 -.625000000000E-01
  -.625000000000E-01 -.625000000000E-01 -.625000000000E-01
  -.625000000000E-01 -.625000000000E-01 -.625000000000E-01
  -.625000000000E-01 -.625000000000E-01 -.625000000000E-01
  -.625000000000E-01 -.625000000000E-01 -.625000000000E-01
  -.625000000000E-01
  

• TRIANGULAR_BASIS
  15 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 .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 -.816496580928E+00 .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 -.866025403784E+00
  .111803398875E+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
  -.894427191000E+00 .109544511501E+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 -.912870929175E+00 .108012344973E+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 -.925820099773E+00
  .106904496765E+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
  -.935414346693E+00 .106066017178E+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 -.942809041582E+00 .105409255339E+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 -.948683298051E+00
  .104880884817E+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
  -.953462589246E+00 .104446593573E+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 -.957427107756E+00 .104083299973E+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 -.960768922831E+00
  .103774904333E+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
  -.963624111659E+00 .103509833901E+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 -.966091783079E+00 .103279555899E+01
  

• GRAM
  15 15
  2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
  -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0
  0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0
  0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0
  0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0
  0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0
  0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0
  0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0
  0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0
  0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0
  0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0
  0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1
  0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2
  

• PROPERTIES
  INTEGRAL =1
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe