The Lattice KAPPA11*
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 13:17:20 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
TRIANGULAR_BASIS
GRAM
PROPERTIES
NOTES
LAST_LINE
-
NAME
KAPPA11*
-
DIMENSION
11
-
DET
.764411904000E+09
-
MINIMAL_NORM
.120000000000E+02
-
KISSING_NUMBER
82
-
TRIANGULAR_BASIS
11 11
.387298334621E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.619677335393E+01 .309838667697E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.154919333848E+01 .774596669241E+00 .412310562562E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
-.619677335393E+01 -.309838667697E+01 .291042750044E+01
.274397736228E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.413118223595E+01 .206559111798E+01 -.970142500145E+00
-.188648443657E+01 .248327740429E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.516397779494E+00 .258198889747E+00 -.218282062533E+01
-.600245047999E+00 -.771829463496E+00 .243843104187E+01
.000000000000E+00 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
-.413118223595E+01 -.206559111798E+01 .388057000058E+01
.171498585143E+01 -.147654332147E+01 -.399015988669E+00
.251540706989E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .000000000000E+00
.154919333848E+01 .774596669241E+00 -.169774937525E+01
-.111474080343E+01 .100673408282E+00 -.532021318226E+00
.173476349648E+00 .213347700666E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00
.516397779494E+00 .258198889747E+00 -.218282062533E+01
-.600245047999E+00 .838945069018E+00 -.332513323891E+00
-.108422718530E+01 -.678833593027E+00 .202259958739E+01
.000000000000E+00 .000000000000E+00
-.206559111798E+01 -.103279555899E+01 .194028500029E+01
.857492925713E+00 -.738271660735E+00 -.101970752660E+01
.112759627271E+01 -.193952455151E+00 -.269679944985E+00
.178885438200E+01 .000000000000E+00
.154919333848E+01 .774596669241E+00 -.169774937525E+01
.342997170285E+00 -.402693633128E+00 -.332513323891E+00
-.108422718530E+01 -.678833593027E+00 -.943879807449E+00
-.447213595500E+00 .173205080757E+01
-
GRAM
11 11
15 24 6 -24 16 2 -16 6 2 -8 6
24 48 12 -48 32 4 -32 12 4 -16 12
6 12 20 0 4 -8 8 -4 -8 4 -4
-24 -48 0 64 -40 -12 48 -20 -12 24 -16
16 32 4 -40 32 4 -32 12 8 -16 8
2 4 -8 -12 4 12 -12 4 4 -8 4
-16 -32 8 48 -32 -12 48 -16 -16 24 -16
6 12 -4 -20 12 4 -16 12 4 -8 4
2 4 -8 -12 8 4 -16 4 12 -8 4
-8 -16 4 24 -16 -8 24 -8 -8 16 -8
6 12 -4 -16 8 4 -16 4 4 -8 12
-
PROPERTIES
INTEGRAL =1
-
NOTES
Obtained by multiplying gram matrix for:
KAPPA11*
by
0.120000000000D+02
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe