The Lattice C2 x S5 x PGL(2,7)
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 13:24:26 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 S5 x PGL(2,7)
-
DIMENSION
24
-
GRAM
24
8 4 4 4 0 0 0 0 4 2 2 2 4 2 2
2 2 1 1 1 0 0 0 0
4 8 4 4 0 0 0 0 2 4 2 2 2 4 2
2 1 2 1 1 0 0 0 0
4 4 8 4 0 0 0 0 2 2 4 2 2 2 4
2 1 1 2 1 0 0 0 0
4 4 4 8 0 0 0 0 2 2 2 4 2 2 2
4 1 1 1 2 0 0 0 0
0 0 0 0 8 4 4 4 -4 -2 -2 -2 2 1 1
1 -2 -1 -1 -1 -2 -1 -1 -1
0 0 0 0 4 8 4 4 -2 -4 -2 -2 1 2 1
1 -1 -2 -1 -1 -1 -2 -1 -1
0 0 0 0 4 4 8 4 -2 -2 -4 -2 1 1 2
1 -1 -1 -2 -1 -1 -1 -2 -1
0 0 0 0 4 4 4 8 -2 -2 -2 -4 1 1 1
2 -1 -1 -1 -2 -1 -1 -1 -2
4 2 2 2 -4 -2 -2 -2 8 4 4 4 2 1 1
1 2 1 1 1 4 2 2 2
2 4 2 2 -2 -4 -2 -2 4 8 4 4 1 2 1
1 1 2 1 1 2 4 2 2
2 2 4 2 -2 -2 -4 -2 4 4 8 4 1 1 2
1 1 1 2 1 2 2 4 2
2 2 2 4 -2 -2 -2 -4 4 4 4 8 1 1 1
2 1 1 1 2 2 2 2 4
4 2 2 2 2 1 1 1 2 1 1 1 8 4 4
4 4 2 2 2 2 1 1 1
2 4 2 2 1 2 1 1 1 2 1 1 4 8 4
4 2 4 2 2 1 2 1 1
2 2 4 2 1 1 2 1 1 1 2 1 4 4 8
4 2 2 4 2 1 1 2 1
2 2 2 4 1 1 1 2 1 1 1 2 4 4 4
8 2 2 2 4 1 1 1 2
2 1 1 1 -2 -1 -1 -1 2 1 1 1 4 2 2
2 8 4 4 4 4 2 2 2
1 2 1 1 -1 -2 -1 -1 1 2 1 1 2 4 2
2 4 8 4 4 2 4 2 2
1 1 2 1 -1 -1 -2 -1 1 1 2 1 2 2 4
2 4 4 8 4 2 2 4 2
1 1 1 2 -1 -1 -1 -2 1 1 1 2 2 2 2
4 4 4 4 8 2 2 2 4
0 0 0 0 -2 -1 -1 -1 4 2 2 2 2 1 1
1 4 2 2 2 8 4 4 4
0 0 0 0 -1 -2 -1 -1 2 4 2 2 1 2 1
1 2 4 2 2 4 8 4 4
0 0 0 0 -1 -1 -2 -1 2 2 4 2 1 1 2
1 2 2 4 2 4 4 8 4
0 0 0 0 -1 -1 -1 -2 2 2 2 4 1 1 1
2 2 2 2 4 4 4 4 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 7 7 7 7 7 7 35 35 35 35 35
35
-
MINIMAL_NORM
8
-
KISSING_NUMBER
420
-
GROUP_ORDER
80640
-
GROUP_NAME
C2 x S5 x PGL(27)
-
GROUP_GENERATORS
3
24
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 0
0 0 0 0 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 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 1
0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0
1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 -1
1 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 0 0 0 0 0 0 0
0 0 0 0 1 0 0 -1 1 0 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 -1 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 -1 0 0 -1 1
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 -1 -1 0 0 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 0
0 0 0 0 0 0 0 -1 1
0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0
0 0 0 0 0 0 -1 0 1
0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0
0 0 0 0 0 -1 0 0 1
0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0
-1 0 0 0 0 0 0 0 1
0 0 -1 1 0 0 0 0 0 0 1 -1 0 0 1
-1 0 0 0 0 0 0 -1 1
0 -1 0 1 0 0 0 0 0 1 0 -1 0 1 0
-1 0 0 0 0 0 -1 0 1
-1 0 0 1 0 0 0 0 1 0 0 -1 1 0 0
-1 0 0 0 0 -1 0 0 1
0 0 0 1 0 0 0 0 0 0 0 -1 0 0 0
0 0 0 0 -1 0 0 0 1
0 0 -1 1 0 0 0 0 0 0 1 -1 0 0 0
0 0 0 1 -1 0 0 -1 1
0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0
0 0 1 0 -1 0 -1 0 1
-1 0 0 1 0 0 0 0 1 0 0 -1 0 0 0
0 1 0 0 -1 -1 0 0 1
24
-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 0 1 0 0 0 0 0 0 0 0 1 0 0
-1 0 0 0 0 0 0 0 0
-1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0
0 0 0 0 0 0 0 0 0
-1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1
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 1 -1 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 -1 1 0 0 -1 1 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 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 0 0 0 0 0 0 0 0 0 1 0 0
-1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 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 0 0 1 0 -1
0 0 0 0 0 0 0 0 0
0 0 0 0 -1 0 0 0 -1 0 0 0 1 0 0
0 -1 0 0 0 1 0 0 0
0 0 0 0 -1 0 0 1 -1 0 0 1 1 0 0
-1 -1 0 0 1 1 0 0 -1
0 0 0 0 -1 1 0 0 -1 1 0 0 1 -1 0
0 -1 1 0 0 1 -1 0 0
0 0 0 0 -1 0 1 0 -1 0 1 0 1 0 -1
0 -1 0 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 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 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 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 0 0 1 0 -1 0
1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
1 0 0 -1 0 0 0 0 -1 0 0 1 0 0 0
0 0 0 0 0 1 0 0 -1
1 -1 0 0 0 0 0 0 -1 1 0 0 0 0 0
0 0 0 0 0 1 -1 0 0
1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0
0 0 0 0 0 1 0 -1 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 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 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 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 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 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
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 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
1 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 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 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 0 0 0 0 0 0
-1 0 0 0 0 0 0 0 0
1 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0
0 -1 0 0 0 1 0 0 0
0 1 0 0 0 -1 0 0 0 -1 0 0 0 0 0
0 0 -1 0 0 0 1 0 0
0 0 1 0 0 0 -1 0 0 0 -1 0 0 0 0
0 0 0 -1 0 0 0 1 0
0 0 0 1 0 0 0 -1 0 0 0 -1 0 0 0
0 0 0 0 -1 0 0 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 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 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 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe