The Lattice (C2 x PSU(3.5)).S3
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 13:23:24 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
(C2 x PSU(3.5)).S3
-
DIMENSION
21
-
GRAM
21 21
21 7 9 -3 3 7 3 3 -1 7 3 1 7 9 3
7 -7 1 -3 -1 1
7 21 3 7 3 7 9 3 3 1 9 -3 7 3 3
-3 -1 -3 1 3 7
9 3 21 3 7 3 7 7 1 3 7 9 3 1 -3
3 -3 -1 3 1 9
-3 7 3 21 9 1 3 -1 3 -3 3 -3 1 3 -1
1 3 7 7 3 7
3 3 7 9 21 -1 7 1 7 3 7 3 9 7 1
9 7 3 3 7 3
7 7 3 1 -1 21 3 9 3 7 3 7 1 3 9
1 3 7 7 3 7
3 9 7 3 7 3 21 7 7 -1 1 3 3 -3 -3
3 1 -7 -1 7 3
3 3 7 -1 1 9 7 21 7 3 7 3 -1 -3 1
9 7 3 3 7 3
-1 3 1 3 7 3 7 7 21 3 7 9 3 1 7
3 7 -1 3 1 -1
7 1 3 -3 3 7 -1 3 3 21 9 7 7 3 3
7 -1 7 1 3 -3
3 9 7 3 7 3 1 7 7 9 21 3 3 7 7
3 1 3 -1 7 3
1 -3 9 -3 3 7 3 3 9 7 3 21 7 -1 3
-3 3 1 7 -1 1
7 7 3 1 9 1 3 -1 3 7 3 7 21 3 -1
1 3 -3 7 3 -3
9 3 1 3 7 3 -3 -3 1 3 7 -1 3 21 7
3 -3 9 3 1 -1
3 3 -3 -1 1 9 -3 1 7 3 7 3 -1 7 21
-1 7 3 3 7 3
7 -3 3 1 9 1 3 9 3 7 3 -3 1 3 -1
21 3 7 -3 3 -3
-7 -1 -3 3 7 3 1 7 7 -1 1 3 3 -3 7
3 21 3 9 7 3
1 -3 -1 7 3 7 -7 3 -1 7 3 1 -3 9 3
7 3 21 7 -1 1
-3 1 3 7 3 7 -1 3 3 1 -1 7 7 3 3
-3 9 7 21 3 7
-1 3 1 3 7 3 7 7 1 3 7 -1 3 1 7
3 7 -1 3 21 -1
1 7 9 7 3 7 3 3 -1 -3 3 1 -3 -1 3
-3 3 1 7 -1 21
-
DIVISORS
1 2 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
10 10
-
MINIMAL_NORM
21
-
KISSING_NUMBER
300
-
GROUP_ORDER
1512000
-
GROUP_NAME
(C2 x PSU(35)).S3
-
GROUP_GENERATORS
2
21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1
0 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 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0
1 0 -1 1 0 -1 0 1 -1 0 0 1 0 0 0
0 0 0 0 0 0
-1 0 2 -1 -1 1 -1 -1 2 -1 -1 -1 2 0 -1
0 0 2 -2 2 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0
-1 0 2 0 -1 1 0 -1 1 0 -1 -1 1 0 0
0 0 1 -1 1 0
-1 0 2 -1 -1 1 0 -2 1 -1 0 -1 1 0 0
1 0 1 0 1 0
-1 0 1 0 0 0 0 0 0 0 -1 0 1 0 1
0 0 1 -1 0 0
0 0 0 -1 0 0 0 -1 1 0 0 0 0 0 -1
0 0 1 0 1 1
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 0 0 0 1 0 0 0
0 0 0 0 0 0
0 -1 0 0 -1 1 0 -1 1 -1 1 0 1 0 -1
0 0 1 -1 1 1
-1 0 0 0 0 0 0 1 0 0 -1 0 1 1 0
0 0 0 -1 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0
-1 1 2 -2 -1 1 -1 -2 2 -1 -1 -1 1 0 -1
1 0 2 -1 2 1
1 0 -1 0 1 0 0 0 -1 -1 1 1 -1 -1 0
0 0 0 1 0 -1
0 0 0 -1 -1 0 0 -1 1 -1 0 0 1 0 -1
1 0 1 0 1 1
0 -1 0 0 -1 0 1 0 0 -1 1 0 1 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
-1 0 3 -1 -2 1 0 -2 2 -1 0 -2 2 0 -1
0 1 2 -1 1 0
21
-3 0 3 -1 -2 1 0 -1 2 0 -2 -2 3 1 0
0 0 2 -2 1 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 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0
0 -1 2 -1 -3 1 0 -3 3 -1 1 -2 2 0 -2
0 1 2 -1 2 1
-1 -1 2 -1 -2 1 0 -2 2 0 0 -2 2 1 -1
0 1 1 -1 1 1
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0
-1 0 1 0 -1 0 -1 0 1 0 -1 0 1 1 0
0 0 0 -1 1 1
0 1 -2 1 2 -2 0 3 -3 1 0 2 -2 0 2
0 -1 -2 2 -2 -1
-1 0 1 0 -1 0 0 0 0 0 0 0 1 1 0
0 1 0 -1 0 0
-3 0 4 -2 -3 2 0 -3 3 -1 -1 -3 3 1 -1
1 1 2 -2 2 1
1 0 -2 1 2 -1 1 2 -3 1 1 1 -2 0 1
-1 0 -2 2 -2 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0
-2 1 3 -2 -2 1 -1 -2 3 0 -2 -2 2 1 -1
0 1 2 -2 2 1
-2 0 3 -1 -2 1 0 -2 2 0 -1 -2 2 1 -1
0 1 2 -2 1 1
0 -1 -1 0 1 0 1 1 -1 0 1 0 0 0 0
-1 0 0 0 -1 0
-2 0 2 -1 -2 0 0 -1 1 0 -1 -1 2 1 0
1 0 1 -1 1 1
1 0 -2 0 1 -1 0 1 -1 0 1 1 -1 0 0
0 0 -1 1 -1 0
-1 -1 2 -1 -3 1 1 -3 2 -1 1 -2 2 0 -1
1 1 2 -1 1 1
-1 1 2 -2 -2 1 -1 -3 3 -1 0 -1 1 0 -2
1 1 2 -1 2 1
0 0 -1 0 2 -1 0 2 -1 1 0 0 -1 0 1
-1 -1 -1 1 -1 0
1 -1 -1 0 0 1 0 -1 0 -1 2 0 0 -1 -1
0 0 0 1 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe