The Lattice (D8 x S6).C2
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 13:23:09 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE
-
NAME
(D8 x S6).C2
-
DIMENSION
20
-
GRAM
20
3 0 1 0 1 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0
0 3 1 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 -1 0
1 1 3 1 0 0 0 0 0 0 0 0 1 1 0
0 0 -1 0 0
0 0 1 3 1 0 1 0 0 0 0 0 0 0 -1
0 -1 0 0 0
1 0 0 1 3 0 0 0 0 0 0 0 0 -1 0
-1 0 0 0 1
0 0 0 0 0 3 0 1 1 0 -1 1 1 0 0
0 0 1 0 0
0 1 0 1 0 0 3 0 1 0 1 0 0 0 0
0 0 1 0 1
0 0 0 0 0 1 0 3 0 0 0 0 0 0 1
0 -1 0 -1 0
0 0 0 0 0 1 1 0 3 0 0 0 0 0 0
0 1 0 0 0
1 0 0 0 0 0 0 0 0 3 1 1 -1 0 0
0 0 0 0 -1
0 0 0 0 0 -1 1 0 0 1 3 0 0 0 1
0 0 0 0 0
0 0 0 0 0 1 0 0 0 1 0 3 0 0 0
0 0 0 1 0
0 0 1 0 0 1 0 0 0 -1 0 0 3 0 0
0 -1 0 1 0
0 0 1 0 -1 0 0 0 0 0 0 0 0 3 0
0 1 0 -1 0
0 0 0 -1 0 0 0 1 0 0 1 0 0 0 3
-1 0 -1 0 1
0 0 0 0 -1 0 0 0 0 0 0 0 0 0 -1
3 0 0 1 0
0 0 0 -1 0 0 0 -1 1 0 0 0 -1 1 0
0 3 0 0 1
0 0 -1 0 0 1 1 0 0 0 0 0 0 0 -1
0 0 3 -1 0
0 -1 0 0 0 0 0 -1 0 0 0 1 1 -1 0
1 0 -1 3 1
0 0 0 0 1 0 1 0 0 -1 0 0 0 0 1
0 1 0 1 3
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3
-
MINIMAL_NORM
3
-
KISSING_NUMBER
80
-
GROUP_ORDER
11520
-
GROUP_NAME
(D8 x S6).C2
-
GROUP_GENERATORS
3
20
-1 -1 1 -1 1 0 1 -1 0 1 -1 0 0 0 1
1 -1 0 -1 0
0 0 0 0 0 0 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 0
0 -1 0 0 0
1 1 -1 1 -2 0 -2 0 1 0 1 0 0 0 -1
-1 -1 0 0 2
0 1 0 0 0 0 -1 0 1 0 0 -1 -1 1 0
-1 -1 1 2 0
0 0 1 0 0 0 0 0 0 0 0 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 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 1
0 0 1 1 -1
-1 -1 1 -1 1 1 1 -1 0 0 0 0 -1 0 0
1 -1 -1 -1 0
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 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 0 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
-1 0 1 -1 1 1 1 0 -1 0 0 -1 -1 0 0
0 0 0 1 -1
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0
0 0 0 1 0 -1 0 1 0 0 -1 0 0 0 1
0 1 1 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 0 0 0 0 0 0 0 0
0 0 0 1 0
0 1 0 0 0 0 0 1 0 0 0 -1 -1 1 0
-1 0 1 3 -1
20
1 2 -2 3 -2 -1 -3 1 1 0 1 0 1 0 0
-1 1 1 1 1
0 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 0 1 0 0 0 0
0 0 0 0 0
0 0 1 -1 1 1 0 0 0 -1 1 -1 -2 1 0
0 -1 1 2 -1
0 2 0 0 1 0 -2 1 1 -1 1 -1 -2 2 0
-1 -1 2 4 -1
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
0 0 0 0 0
0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 1
0 0 1 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 0
0 0 1 -1 0 1 0 0 0 -1 1 0 -2 0 -1
-1 -1 0 1 0
0 0 0 1 -1 0 -1 0 0 1 0 0 1 -1 0
0 1 0 -1 1
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0
0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 -1 0 0 0 0 1 0 -1 0 0 1 1 -1 0
1 1 -1 -2 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 -1 0 0 0 1 1 -1 -1 0 0 0 0 0 0
0 0 -1 -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 1 0 -1 0 1 0 0 -1 0 0 0 1
0 1 1 1 -1
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 0 0 0
0 1 0 0 1 0 0 0 0 -1 0 0 -1 1 1
0 0 1 2 -2
20
1 0 0 0 0 0 0 0 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 0 0 0 0
0 0 1 0 0 0 0 0 0 0 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 0 0
0 0 0 0 1 0 0 0 0 0 0 0 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
0 0 0 0 0 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0
1 0 -1 1 -1 0 0 0 0 0 0 0 1 -1 0
0 1 -1 -1 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0 0 0 0
-1 -1 2 -2 1 0 1 0 0 0 0 0 -1 0 -1
0 -1 0 0 0
0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 1
0 0 1 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0
1 1 -1 1 -2 0 -2 0 1 0 1 0 0 0 -1
-1 -1 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0
0 0 0 -1 1 0 1 0 0 -1 0 0 -1 1 0
0 -1 0 1 -1
0 -1 0 0 -1 0 0 0 0 1 0 0 1 -1 -1
0 0 -1 -2 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe