The Lattice (C6.PSL(3,4).C2 Y D8).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 13:24:37 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
(C6.PSL(3,4).C2 Y D8).C2
-
DIMENSION
24
-
GRAM
24 24
8 -1 2 0 2 2 0 1 0 0 1 -1 1 -1 -2
3 0 1 -1 3 2 -1 1 -3
-1 8 1 -1 0 -4 0 1 -3 -2 -1 1 1 0 2
-1 1 2 1 0 -2 -3 -3 1
2 1 8 2 1 -1 2 1 -1 1 3 2 4 1 0
2 -1 0 -1 2 -3 1 3 1
0 -1 2 8 -2 4 1 1 4 2 -1 4 3 1 1
-1 -4 -3 -3 -2 -1 0 3 -2
2 0 1 -2 8 0 -1 -1 -1 2 -1 -2 0 1 -2
3 -1 1 2 2 3 0 2 1
2 -4 -1 4 0 8 1 -1 4 2 -1 0 1 1 -1
-1 -4 -3 -3 -2 2 2 3 -2
0 0 2 1 -1 1 8 -3 2 0 2 0 4 2 -1
0 0 0 -4 0 -3 3 4 2
1 1 1 1 -1 -1 -3 8 -1 0 0 3 0 -2 3
0 1 1 2 2 -1 -4 -3 -4
0 -3 -1 4 -1 4 2 -1 8 2 -2 0 1 0 -1
-2 0 -2 -2 -4 1 1 2 -3
0 -2 1 2 2 2 0 0 2 8 -2 0 1 1 1
0 -2 2 2 0 0 3 2 -2
1 -1 3 -1 -1 -1 2 0 -2 -2 8 2 2 2 -1
2 0 0 -4 4 -2 1 2 3
-1 1 2 4 -2 0 0 3 0 0 2 8 0 1 1
0 -4 -3 -3 1 -2 -1 2 0
1 1 4 3 0 1 4 0 1 1 2 0 8 2 -1
1 -1 1 -2 1 -3 2 3 1
-1 0 1 1 1 1 2 -2 0 1 2 1 2 8 -1
-1 -4 0 -4 2 -4 3 2 2
-2 2 0 1 -2 -1 -1 3 -1 1 -1 1 -1 -1 8
-4 1 3 2 0 -1 -4 -4 -3
3 -1 2 -1 3 -1 0 0 -2 0 2 0 1 -1 -4
8 0 -2 0 2 2 0 4 1
0 1 -1 -4 -1 -4 0 1 0 -2 0 -4 -1 -4 1
0 8 4 4 0 1 -3 -4 -1
1 2 0 -3 1 -3 0 1 -2 2 0 -3 1 0 3
-2 4 8 4 4 -1 -1 -4 -1
-1 1 -1 -3 2 -3 -4 2 -2 2 -4 -3 -2 -4 2
0 4 4 8 0 2 -2 -4 -2
3 0 2 -2 2 -2 0 2 -4 0 4 1 1 2 0
2 0 4 0 8 -2 0 0 1
2 -2 -3 -1 3 2 -3 -1 1 0 -2 -2 -3 -4 -1
2 1 -1 2 -2 8 -3 0 -1
-1 -3 1 0 0 2 3 -4 1 3 1 -1 2 3 -4
0 -3 -1 -2 0 -3 8 4 3
1 -3 3 3 2 3 4 -3 2 2 2 2 3 2 -4
4 -4 -4 -4 0 0 4 8 2
-3 1 1 -2 1 -2 2 -4 -3 -2 3 0 1 2 -3
1 -1 -1 -2 1 -1 3 2 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6
-
MINIMAL_NORM
8
-
KISSING_NUMBER
10584
-
GROUP_ORDER
1935360
-
GROUP_NAME
(C6.PSL(34).C2 Y D8).C2
-
GROUP_GENERATORS
3
24
-2 -1 1 -1 1 1 -1 -2 -2 2 -1 1 1 -1 -2
-1 2 -1 -3 1 -1 -2 -1 -2
1 1 -1 0 0 0 0 0 0 0 0 1 1 1 1
0 2 -2 1 1 1 2 0 0
0 0 0 -1 -1 0 0 0 1 1 0 -1 0 0 0
0 -1 -1 1 1 -1 -2 1 1
0 -1 0 0 0 0 1 0 1 0 1 -1 -1 -1 -1
1 -3 1 1 -1 -2 -2 -1 1
-2 -1 1 -2 0 1 -1 -1 0 0 -1 0 0 -2 -2
0 -2 3 -2 0 -2 -3 1 -1
-1 -1 1 0 0 0 0 0 0 0 0 -1 -1 -1 -2
0 -2 2 -1 -1 -1 -2 0 0
0 0 0 0 -1 -1 1 0 0 1 0 -1 1 1 0
-1 0 -3 1 2 2 0 -1 0
2 0 -1 0 0 0 -1 0 1 -1 0 1 0 1 2
1 1 0 1 -1 -1 1 1 1
-1 -2 1 0 1 1 0 -1 -1 0 -1 1 0 -1 -1
1 0 2 -2 -1 -1 -1 -2 0
0 -1 0 -1 0 0 0 1 1 -1 0 0 -1 0 0
1 -2 3 0 -2 -1 -1 1 1
0 0 0 0 0 -1 0 0 0 1 0 -1 1 0 0
-1 0 -2 0 1 0 -1 0 0
2 0 -1 0 -1 -1 1 1 2 0 2 -2 -1 0 0
0 -3 0 3 -1 -2 -2 1 2
-2 -1 1 -1 0 0 0 -1 0 1 -1 0 1 -1 -1
1 -1 0 -2 1 0 -1 -2 -1
0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0 0
3 1 -2 1 0 -1 0 1 1 -1 0 1 0 2 3
0 2 -2 2 0 1 3 1 2
-3 -1 1 -1 0 1 0 -1 -1 1 0 -1 0 -2 -3
0 -2 2 -2 0 -2 -4 0 -2
0 0 0 0 1 1 -1 -1 -2 0 -2 3 2 1 2
0 5 -2 -2 1 2 3 -1 -1
0 0 0 -1 1 0 -1 -1 -1 0 -2 3 2 1 2
0 4 -2 -2 1 2 3 -1 -1
0 0 0 -1 0 1 -1 0 0 -1 -1 2 0 0 1
1 1 2 -1 -1 0 1 1 0
0 0 0 -1 0 -1 0 -1 0 1 0 0 1 0 0
-1 0 -2 0 1 0 -1 0 -1
-2 -1 1 -1 1 2 -1 -1 -1 0 -1 1 0 -2 -2
0 0 3 -3 -1 -2 -2 0 -1
-1 0 1 0 -1 -1 1 1 1 0 1 -2 -1 0 -1
0 -3 1 1 0 1 -1 0 0
-2 -1 1 -1 -1 0 1 0 1 1 1 -3 -1 -2 -3
0 -5 2 0 0 -2 -5 0 0
0 1 0 0 -1 -1 1 1 1 0 1 -2 0 0 0
-1 -2 -1 2 1 1 0 1 0
24
-4 -2 2 -2 1 2 -1 -3 -2 1 -2 2 1 -3 -3
1 0 3 -5 0 -2 -3 -2 -3
0 0 0 1 0 0 1 1 -1 0 1 -1 -1 0 -1
-1 -1 1 1 -1 0 -1 1 0
-1 0 0 0 0 0 0 0 0 0 1 -1 -1 -1 -2
0 -2 2 0 -1 -1 -2 1 -1
0 0 0 0 0 -1 1 0 1 0 0 0 0 0 0
0 -1 -1 1 1 1 0 -1 0
0 0 0 0 1 1 -1 -1 -2 1 -1 2 1 0 0
0 3 -1 -2 0 0 1 -1 -1
0 0 0 -1 0 0 0 -1 1 0 -1 1 1 0 1
1 0 -1 0 1 0 0 -1 0
-1 0 0 0 0 0 1 0 1 1 1 -2 -1 -2 -2
0 -3 1 0 0 -2 -3 0 0
1 0 0 0 -1 -1 0 0 0 0 0 0 0 1 0
-1 0 0 1 0 1 0 1 0
0 0 0 -1 0 0 0 0 2 0 0 0 0 -1 0
1 -2 1 0 0 -1 -1 -1 1
2 0 -1 0 0 -1 0 0 1 0 1 0 0 0 1
0 -1 -1 2 -1 -1 0 0 1
-2 -1 1 0 0 0 0 0 0 0 0 -1 -1 -1 -2
1 -2 3 -2 -1 -1 -2 0 -1
-1 0 1 1 0 -1 1 0 0 0 0 -1 -1 0 -1
0 -1 0 0 1 1 0 -1 -1
-1 0 0 0 0 -1 1 0 0 1 1 -1 0 -1 -2
-1 -2 0 0 0 0 -2 0 -1
0 1 0 1 -1 -1 1 1 1 0 1 -2 -1 0 0
0 -2 -1 1 1 1 0 0 0
2 0 -1 1 0 -1 0 1 0 -1 0 0 0 1 2
0 1 0 1 -1 1 2 1 1
-2 -1 1 -1 1 1 -1 -2 -2 2 -1 1 1 -1 -2
-1 2 -1 -3 1 -1 -2 -1 -2
0 -1 0 -1 0 1 -1 0 0 0 0 0 0 -1 -1
0 -1 3 -1 -2 -2 -2 1 1
0 -1 0 0 0 0 0 0 -1 0 0 0 0 -1 -1
0 -1 2 -1 -2 -1 -1 0 0
2 0 -1 0 0 0 -1 0 -1 0 0 1 1 1 1
-1 2 -1 1 -1 0 1 1 1
-2 -1 1 0 0 0 0 -1 -2 1 -1 0 0 -1 -2
0 0 1 -3 0 0 -1 -1 -2
-1 -1 1 -1 2 2 -2 -2 -2 0 -3 4 2 0 1
1 5 0 -4 0 0 2 -2 -1
1 1 -1 0 -1 -1 1 1 2 0 2 -2 -1 0 0
0 -3 -1 3 0 -1 -1 1 1
-1 0 0 0 1 0 0 -1 0 1 0 0 0 -1 -1
0 0 -1 -1 1 -1 -1 -1 -1
0 1 0 1 0 0 1 1 0 0 1 -1 -1 1 0
0 0 -1 1 0 1 1 0 0
24
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 1 0 1 0 1 -1 -1 0 -1
0 -2 0 2 0 0 -1 0 0
2 1 -1 1 0 0 0 1 0 -1 0 0 0 2 2
0 2 -2 2 0 1 2 1 1
-2 -1 1 0 1 0 0 -1 -2 1 -1 0 1 -1 -2
-1 1 -1 -2 1 0 -1 -1 -2
3 1 -2 1 -1 -1 1 1 1 0 2 -1 0 1 1
-1 -1 -2 4 0 0 0 1 2
-2 -1 1 0 1 0 0 -1 -2 1 -1 0 1 -1 -2
-1 1 0 -3 1 0 -1 -1 -2
-2 0 1 -1 1 2 -1 -2 -2 1 -2 2 2 0 0
0 4 -2 -3 2 1 1 -2 -2
1 0 0 0 0 0 0 1 1 -1 0 0 -1 0 0
0 -1 1 1 -1 -1 0 1 1
-3 -2 1 -1 2 1 -1 -2 -3 1 -2 2 2 -2 -2
0 2 1 -5 0 -1 -1 -2 -3
2 0 -1 0 -1 -1 0 1 0 0 0 0 1 2 1
-1 1 -2 2 0 1 1 1 1
2 1 -1 1 1 0 0 1 0 -1 0 1 0 2 3
0 3 -2 1 0 2 4 0 1
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
0 1 -1 0 0 0 1 -1 0
0 1 0 0 0 0 0 0 -1 0 -1 0 1 1 1
-1 2 -3 0 2 2 2 0 -1
0 0 0 0 0 0 1 0 0 0 1 -1 0 0 0
0 -1 -1 1 0 0 0 -1 0
0 0 0 -1 -1 0 0 1 2 -1 1 -1 -1 0 -1
0 -3 2 2 -1 -1 -2 2 1
3 1 -1 1 0 -1 0 0 0 0 0 1 1 2 3
-1 3 -4 2 1 2 3 0 1
0 0 0 -1 0 1 -1 0 0 -1 -1 2 0 0 1
1 1 2 -1 -1 0 1 1 0
2 1 -1 -1 -2 0 0 2 2 -1 1 -1 -1 1 1
0 -2 1 3 -1 0 0 3 2
2 1 -1 0 -2 -1 0 2 2 -1 1 -1 -1 1 1
0 -2 1 3 -1 0 0 3 2
3 1 -1 0 -1 0 0 2 2 -1 1 -1 -1 1 2
0 -1 0 3 -1 0 1 2 3
1 0 -1 1 0 -1 0 0 0 0 1 0 0 0 0
-1 0 0 1 0 0 0 1 0
0 0 0 0 0 0 0 0 -1 1 -1 0 1 1 1
0 2 -2 -1 1 1 1 -1 0
0 0 0 1 1 0 0 -1 -2 1 -1 1 2 1 1
-1 4 -4 -1 2 2 2 -2 -1
1 1 -1 1 0 0 0 0 0 0 0 0 0 1 2
0 2 -2 1 1 1 2 0 1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe