The Lattice (C2 x PSL(2,7) x PSL(2,7)).(C2 x 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 13:22:46 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 PSL(2,7) x PSL(2,7)).(C2 x C2)
-
DIMENSION
18
-
GRAM
18
6 2 2 2 2 2 0 2 1 1 2 2 1 -1 0
-1 0 2
2 6 2 2 1 2 -1 2 0 2 2 2 2 0 2
0 2 1
2 2 6 2 2 1 2 2 2 0 -2 1 2 1 2
0 0 0
2 2 2 6 2 2 2 1 2 2 0 2 0 0 0
1 2 0
2 1 2 2 6 2 1 2 2 2 0 0 2 2 2
2 2 2
2 2 1 2 2 6 0 0 2 2 1 -2 0 2 1
-1 1 0
0 -1 2 2 1 0 6 0 0 2 -1 1 2 2 2
2 2 0
2 2 2 1 2 0 0 6 2 0 2 2 2 -1 1
2 1 0
1 0 2 2 2 2 0 2 6 -2 0 0 -2 1 0
1 0 -2
1 2 0 2 2 2 2 0 -2 6 2 0 2 1 2
0 2 2
2 2 -2 0 0 1 -1 2 0 2 6 1 0 0 -1
1 2 2
2 2 1 2 0 -2 1 2 0 0 1 6 2 -1 1
2 0 2
1 2 2 0 2 0 2 2 -2 2 0 2 6 0 2
1 2 2
-1 0 1 0 2 2 2 -1 1 1 0 -1 0 6 2
2 1 2
0 2 2 0 2 1 2 1 0 2 -1 1 2 2 6
1 0 1
-1 0 0 1 2 -1 2 2 1 0 1 2 1 2 1
6 2 2
0 2 0 2 2 1 2 1 0 2 2 0 2 1 0
2 6 1
2 1 0 0 2 0 0 0 -2 2 2 2 2 2 1
2 1 6
-
DIVISORS
1 1 1 1 1 1 1 1 1 7 7 7 7 7 7 7 7 7
-
MINIMAL_NORM
6
-
KISSING_NUMBER
336
-
GROUP_ORDER
225792
-
GROUP_NAME
(C2 x PSL(27) x PSL(27)).(C2 x C2)
-
GROUP_GENERATORS
3
18
-1 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 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 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 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 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 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 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 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
0 0 0 0 1 0 0 0 -1 -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
-1 0 0 0 1 0 1 0 0 -1 1 0 0 -1 0
-1 0 1
1 -1 1 -1 0 0 -1 -1 0 1 0 1 0 0 0
1 1 -1
1 -1 0 0 0 0 -1 0 -1 0 0 1 0 1 0
0 1 -1
-1 2 -1 -1 1 0 2 0 1 0 0 0 0 -1 -1
-1 -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 0
0 1 0
0 -1 1 0 1 0 -1 -1 -1 0 1 1 0 0 0
0 0 -1
0 0 0 0 1 0 0 0 -1 0 0 0 -1 0 0
0 0 0
-1 1 0 0 1 0 1 0 0 -1 1 -1 0 -1 0
0 -1 1
0 1 0 -1 1 0 1 0 0 0 0 0 0 0 -1
0 -1 0
2 -1 0 0 -1 -1 -2 -1 0 1 0 0 1 1 1
1 1 -2
1 0 0 0 0 0 -1 -1 0 0 0 0 1 0 0
1 0 -1
0 1 0 -1 1 0 1 0 0 0 0 0 -1 -1 0
0 0 0
-1 2 -1 -1 2 0 3 0 0 -1 0 0 -1 -1 -1
-1 -1 1
1 -1 1 0 0 0 -1 -1 -1 0 1 0 0 0 1
1 0 -1
18
-2 1 0 -1 1 1 2 1 0 0 0 1 -1 -1 -1
-1 -1 1
0 1 -1 -1 -1 0 1 1 1 1 -2 0 0 0 -1
0 0 1
1 -2 1 0 -1 0 -2 0 -1 1 0 1 0 1 1
1 1 -2
0 1 -1 0 0 -1 1 0 1 0 0 -1 1 0 0
0 -1 0
0 -1 1 -1 0 0 -1 0 0 1 0 1 0 0 0
0 1 -1
0 0 0 0 -1 0 0 0 1 0 0 0 1 0 0
0 0 0
1 -1 1 1 0 -1 -2 -1 -1 0 1 0 1 1 1
1 0 -2
0 1 0 -1 0 0 1 1 0 1 -1 0 -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 1 0 0
0 0 0
-1 2 -1 0 0 0 2 1 1 0 -1 -1 0 -1 -1
-1 -1 2
-1 2 -1 -1 1 0 2 1 0 0 -1 0 -1 0 -1
-1 -1 1
1 -1 1 -1 -1 0 -2 0 0 2 -1 1 0 1 0
1 1 -1
1 -1 0 1 -1 -1 -2 0 0 0 0 0 1 1 1
0 1 -1
0 -1 1 0 0 0 -1 0 -1 0 0 1 0 1 0
0 1 -1
0 1 0 0 0 -1 0 0 0 0 0 -1 0 0 0
0 0 0
1 0 0 0 -1 -1 -1 0 1 1 -1 -1 1 0 0
1 0 0
-1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
-1 0 1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe