The Lattice (SL(2,5) Y (D8 Y Q8).Alt5).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 13:23:39 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
(SL(2,5) Y (D8 Y Q8).Alt5).C2
-
DIMENSION
24
-
GRAM
24
6 0 1 -2 -3 1 -1 -1 0 -2 1 0 -2 1 1
-1 2 0 -2 0 -2 0 0 0
0 6 0 -1 0 -1 -2 0 1 -1 -1 2 -1 -1 -1
-1 -1 1 0 1 0 -3 2 0
1 0 6 -1 0 0 1 -2 -1 0 1 -2 0 0 -1
-2 2 1 -1 -1 -2 1 -1 -1
-2 -1 -1 6 1 0 0 1 0 0 -1 0 1 0 1
0 0 0 -1 0 2 3 -1 1
-3 0 0 1 6 -1 2 0 -2 1 1 0 2 -1 0
1 -1 0 1 1 0 0 0 -2
1 -1 0 0 -1 6 -1 2 0 -1 -1 0 1 -1 0
-1 0 3 0 2 0 1 1 -2
-1 -2 1 0 2 -1 6 -2 -2 3 3 -2 2 -1 1
1 3 -3 0 -1 0 1 -3 -1
-1 0 -2 1 0 2 -2 6 0 -2 -3 1 1 0 0
0 -2 3 2 2 2 1 2 -1
0 1 -1 0 -2 0 -2 0 6 -2 -3 3 -3 0 0
0 -1 -1 2 0 0 0 2 3
-2 -1 0 0 1 -1 3 -2 -2 6 3 -2 2 -1 -1
2 1 -2 0 -2 1 -1 -3 0
1 -1 1 -1 1 -1 3 -3 -3 3 6 -2 1 0 0
0 2 -2 -3 -1 -1 -1 -3 -1
0 2 -2 0 0 0 -2 1 3 -2 -2 6 -3 1 1
2 0 -1 1 3 0 1 2 0
-2 -1 0 1 2 1 2 1 -3 2 1 -3 6 -2 -2
-1 0 1 0 0 3 0 -2 0
1 -1 0 0 -1 -1 -1 0 0 -1 0 1 -2 6 -1
0 1 0 -1 1 0 2 -1 0
1 -1 -1 1 0 0 1 0 0 -1 0 1 -2 -1 6
3 1 -2 -1 2 -2 1 0 -2
-1 -1 -2 0 1 -1 1 0 0 2 0 2 -1 0 3
6 1 -3 2 1 -1 1 0 -1
2 -1 2 0 -1 0 3 -2 -1 1 2 0 0 1 1
1 6 -3 -1 0 0 3 -2 0
0 1 1 0 0 3 -3 3 -1 -2 -2 -1 1 0 -2
-3 -3 6 0 1 0 -1 2 -2
-2 0 -1 -1 1 0 0 2 2 0 -3 1 0 -1 -1
2 -1 0 6 -1 0 0 3 1
0 1 -1 0 1 2 -1 2 0 -2 -1 3 0 1 2
1 0 1 -1 6 0 1 0 -3
-2 0 -2 2 0 0 0 2 0 1 -1 0 3 0 -2
-1 0 0 0 0 6 1 0 3
0 -3 1 3 0 1 1 1 0 -1 -1 1 0 2 1
1 3 -1 0 1 1 6 -1 0
0 2 -1 -1 0 1 -3 2 2 -3 -3 2 -2 -1 0
0 -2 2 3 0 0 -1 6 1
0 0 -1 1 -2 -2 -1 -1 3 0 -1 0 0 0 -2
-1 0 -2 1 -3 3 0 1 6
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10
10
-
MINIMAL_NORM
6
-
KISSING_NUMBER
2400
-
GROUP_ORDER
230400
-
GROUP_NAME
(SL(25) Y (D8 Y Q8).A5).C2
-
GROUP_GENERATORS
2
24
0 0 0 0 0 0 1 0 -1 0 0 0 -1 0 0
0 0 1 0 1 0 0 0 2
0 0 0 0 0 0 -1 0 0 0 0 0 1 0 0
-1 0 -2 0 0 0 0 1 -1
1 -1 1 2 -1 0 0 0 0 -1 0 0 0 0 -2
1 0 -2 0 0 1 -2 1 -2
0 0 0 0 0 0 -1 -1 0 0 0 0 0 0 0
0 0 0 1 0 1 0 -1 -1
0 0 0 0 0 0 -1 0 1 1 0 1 2 1 1
-1 0 -1 0 -2 0 0 1 -2
0 0 1 0 0 1 1 0 -1 -1 0 0 -1 0 0
1 -1 0 0 0 1 -1 -1 1
0 0 0 0 0 0 0 0 1 0 0 0 1 1 0
1 0 0 -1 -1 0 0 1 -1
-1 1 0 -1 1 1 0 1 -1 0 0 0 -1 0 1
0 0 1 0 0 -1 0 -2 3
0 0 0 0 -1 0 0 0 0 1 0 0 1 0 0
-1 -1 -1 0 1 -1 1 1 0
0 0 0 0 0 0 0 -1 0 -2 1 -1 -2 -1 -1
2 0 1 1 0 2 0 -1 -1
0 0 0 0 0 0 0 -1 0 -2 1 0 -1 0 0
1 0 1 1 -1 2 0 -1 -1
0 1 -1 -1 0 0 0 0 0 1 0 0 1 0 1
-1 -1 0 0 0 -1 2 0 1
-1 0 0 -1 1 1 0 0 -1 -1 0 1 -1 0 1
1 1 2 0 -1 0 -1 -2 2
0 1 0 0 0 0 0 0 0 0 1 0 0 0 1
0 0 1 1 0 0 1 -1 1
1 0 0 0 0 -1 0 0 1 2 -1 0 2 1 0
-1 -1 -1 -1 0 -1 1 2 -1
1 0 0 0 0 -1 0 0 1 1 0 0 1 0 0
0 -1 0 0 0 0 1 1 -1
0 0 0 0 0 0 1 0 0 -1 0 0 0 0 -1
2 0 1 -1 0 0 0 0 1
0 0 1 1 0 1 0 0 -1 -1 0 0 -1 0 0
0 0 -1 1 0 1 -2 -1 0
0 0 0 0 0 0 0 1 1 1 0 0 1 0 0
0 0 0 -1 0 -1 0 1 0
0 1 0 -1 0 0 0 0 0 1 0 1 2 1 2
-1 -1 0 0 -1 -1 1 0 1
-2 1 -1 -2 1 1 0 0 -2 -1 0 0 -2 -1 1
1 1 3 0 0 -1 1 -3 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 -1 1
0 0 0 0 0 0 0 1 0 1 -1 0 1 0 0
-1 0 -1 -1 0 -1 0 1 0
-1 0 -1 -1 0 0 0 0 -1 0 0 0 -1 -1 0
0 1 2 0 1 -1 1 -1 2
24
0 0 0 0 0 0 1 0 -1 0 0 -1 -2 -1 -1
1 0 1 0 2 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 -1 0 0 0 0 1 -1
0 -1 0 1 0 0 0 0 0 0 0 0 -1 -1 -1
0 1 0 0 1 0 -1 0 0
0 0 0 0 0 0 0 1 0 1 -1 1 2 1 1
-1 0 -1 -1 -1 -1 0 1 0
0 0 0 0 0 0 0 0 1 -1 0 0 1 0 0
1 0 0 -1 -1 0 0 0 -1
1 0 1 1 0 0 0 1 1 1 0 0 1 1 0
0 0 -1 0 0 0 -1 1 -1
0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 -1
1 0 0 0 0 0 0 -1 0
1 0 1 1 -1 0 0 0 1 1 0 1 3 2 1
-1 -1 -2 0 -1 0 -1 2 -2
0 0 0 0 0 -1 -1 0 1 2 0 0 2 1 1
-2 0 -1 0 0 -1 1 2 -1
0 0 0 0 0 0 0 0 0 -1 0 0 -1 -1 -1
1 0 0 0 -1 1 0 -1 -1
0 0 0 0 0 0 1 0 -1 -2 0 -1 -3 -2 -2
2 0 1 0 1 1 0 -2 1
0 1 0 0 0 0 0 0 0 1 0 0 1 1 1
-1 -1 -1 0 0 -1 1 1 0
1 0 0 0 0 0 -1 0 1 0 0 0 1 0 0
0 0 -1 0 -1 1 0 0 -2
0 -1 0 1 -1 -1 0 0 0 0 0 0 0 0 -1
0 0 -1 0 1 0 -1 1 -1
-1 1 0 -1 1 1 1 0 -1 -1 0 0 -1 0 1
1 0 2 0 0 0 0 -2 3
-1 1 0 -1 1 1 0 0 -1 -1 0 0 -1 0 1
1 0 1 0 -1 0 0 -2 2
0 0 0 0 0 0 0 0 -1 0 0 0 -1 -1 0
0 0 0 1 1 0 0 -1 1
1 -1 1 2 -1 0 0 0 1 0 0 0 1 1 -1
0 0 -2 0 0 1 -2 2 -3
0 0 0 0 0 0 -1 0 1 1 0 0 2 1 1
-1 0 -1 0 -1 -1 0 1 -1
1 0 1 1 0 0 0 0 1 0 0 0 1 1 0
0 -1 -2 0 0 1 -1 1 -2
1 0 0 0 -1 -1 -1 0 1 2 0 1 3 1 1
-2 -1 -2 0 -1 0 1 2 -3
0 0 0 0 0 0 0 1 0 2 -1 1 2 1 1
-1 0 -1 -1 0 -2 0 1 1
0 0 0 0 0 0 0 0 0 1 0 0 1 1 1
-1 0 0 0 0 -1 0 1 0
0 0 -1 -1 0 -1 -1 0 0 2 0 0 1 0 1
-2 0 0 0 0 -1 2 1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe