The Lattice KAPPA13*
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 13:17:21 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
TRIANGULAR_BASIS
GRAM
PROPERTIES
NOTES
LAST_LINE
-
NAME
KAPPA13*
-
DIMENSION
13
-
DET
.110075314176E+12
-
MINIMAL_NORM
.900000000000E+01
-
KISSING_NUMBER
2
-
TRIANGULAR_BASIS
13 13
.529150262213E+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
.831521840620E+01 .329501788419E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
.377964473009E+00 .147408694819E+01 .476279440311E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
-.109609697173E+02 -.268804090552E+01 .401135584299E+01
.308878669517E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
.680336051417E+01 .225448592076E+01 -.123766351079E+01
-.207321285960E+01 .260797937496E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
.226778683806E+01 .346843987810E+00 -.238692248509E+01
-.853322394386E+00 -.358074971391E+00 .286060594308E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
-.907114735222E+01 -.138737595124E+01 .534847445732E+01
.239170642933E+01 -.137262072366E+01 -.220785022452E+00
.274412123316E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
.302371578407E+01 .867109969524E+00 -.176809072969E+01
-.111172283776E+01 .375978719960E+00 -.671954416159E-01
.454907798011E+00 .232171796986E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
.151185789204E+01 -.173421993905E+00 -.258583269218E+01
-.492763636194E+00 .722117858972E+00 -.595159625740E+00
-.968513376410E+00 -.608068992105E+00 .213808993530E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00
-.529150262213E+01 -.121395395733E+01 .247532702157E+01
.155641197286E+01 -.113987199226E+01 -.166068734279E+01
.124732783325E+01 -.469871493899E+00 -.133630620956E+00
.203100960116E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00
.226778683806E+01 .346843987810E+00 -.196700093678E+01
.543842793605E+00 -.581871828510E+00 -.595159625740E+00
-.968513376410E+00 -.608068992105E+00 -.668153104781E+00
-.184637236469E+00 .202259958739E+01 .000000000000E+00
.000000000000E+00
.226778683806E+01 -.867109969524E+00 -.159128165672E+01
-.100055055398E+01 -.581871828510E+00 -.595159625740E+00
-.968513376410E+00 -.608068992105E+00 -.668153104781E+00
-.184637236469E+00 -.943879807449E+00 .178885438200E+01
.000000000000E+00
.113389341903E+01 .780398972572E+00 .298365310636E+00
-.540838137287E+00 .680342445643E+00 .127671339070E+01
.102721115680E+00 .690987491028E+00 -.133630620956E+00
-.923186182345E+00 -.269679944985E+00 -.447213595500E+00
.173205080757E+01
-
GRAM
13 13
28 44 2 -58 36 12 -48 16 8 -28 12 12 6
44 80 8 -100 64 20 -80 28 12 -48 20 16 12
2 8 25 11 0 -10 20 -6 -12 8 -8 -8 3
-58 -100 11 153 -92 -38 132 -46 -28 76 -32 -32 -15
36 64 0 -92 64 20 -80 28 16 -48 16 16 12
12 20 -10 -38 20 20 -36 12 8 -24 8 8 6
-48 -80 20 132 -80 -36 128 -40 -32 72 -32 -32 -12
16 28 -6 -46 28 12 -40 20 8 -24 8 8 6
8 12 -12 -28 16 8 -32 8 16 -16 8 8 0
-28 -48 8 76 -48 -24 72 -24 -16 48 -16 -16 -12
12 20 -8 -32 16 8 -32 8 8 -16 16 8 0
12 16 -8 -32 16 8 -32 8 8 -16 8 16 0
6 12 3 -15 12 6 -12 6 0 -12 0 0 9
-
PROPERTIES
INTEGRAL =1
-
NOTES
Obtained by multiplying gram matrix for:
KAPPA13*
by
0.120000000000D+02
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe