The Lattice KAPPA9*
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 13:17:26 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
TRIANGULAR_BASIS
GRAM
PROPERTIES
NOTES
LAST_LINE
-
NAME
KAPPA9*
-
DIMENSION
9
-
DET
.305764761600E+10
-
MINIMAL_NORM
.160000000000E+02
-
KISSING_NUMBER
6
-
TRIANGULAR_BASIS
9 9
.458257569496E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.654653670708E+01 .414039335605E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.370970413401E+01 .234622290176E+01 .421109645263E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.480079358519E+01 -.303628846111E+01 .259631510613E+01
.360450845512E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.349148624378E+01 .220820978990E+01 -.506598069489E+00
-.200250469729E+01 .326598632371E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.872871560944E+00 -.552052447474E+00 -.177309324321E+01
-.350438322025E+00 -.163299316186E+01 .300000000000E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
-.130930734142E+01 -.828078671211E+00 .208971703664E+01
.160200375783E+01 -.163299316186E+01 .296059473233E-15
.282842712475E+01 .000000000000E+00 .000000000000E+00
.872871560944E+00 .552052447474E+00 -.202639227796E+01
-.135169067067E+01 .000000000000E+00 -.100000000000E+01
.000000000000E+00 .282842712475E+01 .000000000000E+00
-.872871560944E+00 -.552052447474E+00 -.177309324321E+01
-.350438322025E+00 .816496580928E+00 -.100000000000E+01
-.141421356237E+01 -.141421356237E+01 .244948974278E+01
-
GRAM
9 9
21 30 17 -22 16 -4 -6 4 -4
30 60 34 -44 32 -8 -12 8 -8
17 34 37 -14 16 -12 2 -4 -12
-22 -44 -14 52 -32 0 20 -16 0
16 32 16 -32 32 -8 -16 8 0
-4 -8 -12 0 -8 16 0 0 0
-6 -12 2 20 -16 0 20 -8 -8
4 8 -4 -16 8 0 -8 16 0
-4 -8 -12 0 0 0 -8 0 16
-
PROPERTIES
INTEGRAL =1
-
NOTES
Obtained by multiplying gram matrix for:
KAPPA9*
by
0.240000000000D+02
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe