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 13:22:35 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
16
-
GRAM
16
8 1 3 4 4 4 2 3 4 4 4 3 4 4 4 4
1 8 4 4 3 2 4 1 2 2 3 2 1 1 4 1
3 4 8 2 1 1 4 4 4 3 1 1 2 2 4 3
4 4 2 8 4 2 1 1 4 3 3 2 3 2 3 1
4 3 1 4 8 3 4 2 4 1 2 4 2 1 2 2
4 2 1 2 3 8 3 4 1 4 4 4 4 4 4 4
2 4 4 1 4 3 8 2 3 1 2 4 3 3 4 2
3 1 4 1 2 4 2 8 4 3 2 2 2 3 3 4
4 2 4 4 4 1 3 4 8 2 1 1 1 3 1 3
4 2 3 3 1 4 1 3 2 8 4 3 4 4 4 4
4 3 1 3 2 4 2 2 1 4 8 4 4 4 4 0
3 2 1 2 4 4 4 2 1 3 4 8 2 3 3 2
4 1 2 3 2 4 3 2 1 4 4 2 8 4 4 0
4 1 2 2 1 4 3 3 3 4 4 3 4 8 4 4
4 4 4 3 2 4 4 3 1 4 4 3 4 4 8 4
4 1 3 1 2 4 2 4 3 4 0 2 0 4 4 8
-
DIVISORS
1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10
-
MINIMAL_NORM
8
-
KISSING_NUMBER
1200
-
GROUP_ORDER
230400
-
GROUP_NAME
(SL(25) Y (D8 Y Q8).A5).C2
-
GROUP_GENERATORS
2
16
-1 -1 1 0 1 0 0 -1 0 0 1 -1 0 0 0 1
0 0 -1 -1 0 0 0 0 1 1 -1 0 0 0 1 -1
-1 0 0 0 0 -1 0 0 0 0 0 0 1 0 0 1
-1 0 0 -1 0 0 -1 -1 1 -1 1 0 2 -1 0 2
-1 -1 1 -1 1 1 -1 -1 1 0 0 0 0 0 1 0
-1 -1 0 0 0 0 0 -1 1 0 1 0 0 -1 1 1
-1 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 0
-1 0 0 0 0 -1 0 0 0 0 1 0 1 -1 0 2
-1 0 0 0 0 -1 0 0 0 -1 1 0 2 -1 -1 3
0 -1 0 1 0 0 1 0 -1 1 0 -1 -1 0 0 0
0 -1 0 0 1 0 0 0 0 1 0 -1 -1 0 1 -1
0 -1 0 0 1 1 0 0 0 1 -1 -1 -2 1 2 -2
-2 -1 1 0 0 0 -1 -1 1 -1 2 0 1 -1 0 2
-1 -1 0 1 0 0 1 0 0 0 1 -1 0 -1 0 1
0 -1 0 0 0 0 1 0 0 1 0 -1 -1 0 1 -1
0 -1 0 1 0 0 2 0 -1 1 0 -1 -1 0 0 0
16
1 0 0 0 1 0 0 1 -1 1 -2 0 -2 2 1 -3
0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1
0 -1 1 0 2 1 0 0 -1 2 -1 -1 -3 2 1 -3
1 0 0 0 0 1 0 0 0 1 -2 0 -2 2 1 -3
1 1 0 -1 0 0 -1 0 0 0 -1 1 0 1 0 -1
1 0 -1 0 0 -1 1 1 -1 1 -1 0 -1 1 0 -1
0 -1 1 0 1 0 0 0 -1 1 0 0 -1 1 0 -1
0 0 0 0 1 0 0 0 -1 1 -1 0 -1 1 0 -1
-1 0 1 -1 1 1 -2 -1 1 0 -1 1 0 1 1 -1
1 0 -1 0 1 0 1 1 -1 2 -2 -1 -2 2 1 -3
1 0 -1 1 0 -1 1 1 -1 1 -1 0 -1 1 0 -1
2 0 -1 0 0 0 1 1 -1 2 -2 0 -2 1 1 -3
1 -1 0 1 1 0 1 1 -2 1 -1 -1 -2 2 0 -2
0 -1 0 0 1 0 0 0 0 1 -1 0 -1 1 1 -2
1 -1 0 1 1 0 2 1 -2 2 -1 -1 -3 2 0 -3
0 0 0 -1 1 0 0 0 0 1 -1 0 -1 1 1 -2
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe