The Lattice (C2 x C3.PGL(2,9) x D10).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 13:24:16 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 C3.PGL(2,9) x D10).C2
-
DIMENSION
24
-
GRAM
24
8 4 3 3 2 2 3 3 0 3 3 2 3 2 3
4 4 3 3 3 2 1 2 3
4 8 4 4 4 3 2 2 2 2 2 3 4 2 4
3 1 1 2 3 3 0 2 2
3 4 8 4 2 3 4 4 3 1 2 2 4 3 2
4 1 2 2 4 2 2 2 1
3 4 4 8 2 3 4 2 3 2 1 3 2 3 4
3 2 2 4 3 3 2 4 3
2 4 2 2 8 3 1 4 4 4 4 3 2 4 2
3 2 2 4 3 3 3 1 1
2 3 3 3 3 8 4 3 3 4 3 2 3 4 2
3 3 2 3 4 2 2 3 2
3 2 4 4 1 4 8 2 3 1 2 3 4 4 2
3 2 4 2 3 3 2 4 1
3 2 4 2 4 3 2 8 3 2 4 4 2 3 1
2 2 4 4 2 4 4 1 2
0 2 3 3 4 3 3 3 8 3 3 4 3 4 3
2 2 3 3 2 3 3 4 0
3 2 1 2 4 4 1 2 3 8 4 3 2 3 4
3 4 2 4 4 2 2 2 4
3 2 2 1 4 3 2 4 3 4 8 3 4 3 2
3 4 4 2 3 3 3 2 3
2 3 2 3 3 2 3 4 4 3 3 8 3 3 3
0 2 3 3 2 4 2 4 1
3 4 4 2 2 3 4 2 3 2 4 3 8 3 4
3 2 2 1 3 3 0 4 0
2 2 3 3 4 4 4 3 4 3 3 3 3 8 3
2 3 2 3 3 2 4 3 -1
3 4 2 4 2 2 2 1 3 4 2 3 4 3 8
3 2 1 2 2 4 1 4 2
4 3 4 3 3 3 3 2 2 3 3 0 3 2 3
8 4 3 3 4 2 2 2 3
4 1 1 2 2 3 2 2 2 4 4 2 2 3 2
4 8 4 4 3 3 0 4 1
3 1 2 2 2 2 4 4 3 2 4 3 2 2 1
3 4 8 4 3 3 1 2 2
3 2 2 4 4 3 2 4 3 4 2 3 1 3 2
3 4 4 8 3 3 1 2 3
3 3 4 3 3 4 3 2 2 4 3 2 3 3 2
4 3 3 3 8 0 0 3 2
2 3 2 3 3 2 3 4 3 2 3 4 3 2 4
2 3 3 3 0 8 2 3 1
1 0 2 2 3 2 2 4 3 2 3 2 0 4 1
2 0 1 1 0 2 8 0 2
2 2 2 4 1 3 4 1 4 2 2 4 4 3 4
2 4 2 2 3 3 0 8 -1
3 2 1 3 1 2 1 2 0 4 3 1 0 -1 2
3 1 2 3 2 1 2 -1 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 15 15 15 15 15
15
-
MINIMAL_NORM
8
-
KISSING_NUMBER
5940
-
GROUP_ORDER
86400
-
GROUP_NAME
(C2 x C3.PGL(29) x D10).C2
-
GROUP_GENERATORS
3
24
-15 18 -10 4 -9 -9 27 18 -2 9 11 -6
-4 -22 13 -3 14 -11 10 2 -17 9 -12 -21
-15 18 -10 4 -9 -9 26 18 -2 9 11 -6
-4 -22 13 -3 14 -11 10 2 -17 9 -11 -21
-9 10 -5 2 -5 -5 15 10 -2 5 6 -3
-2 -13 8 -2 8 -6 6 1 -10 6 -6 -12
-13 16 -9 3 -8 -8 24 16 -2 8 10 -5
-4 -20 12 -3 12 -10 9 2 -15 8 -10 -19
-7 8 -4 2 -4 -4 11 8 -1 5 5 -3
-2 -9 5 -1 5 -4 4 0 -7 3 -4 -9
-8 10 -5 2 -5 -5 14 9 -1 5 6 -3
-2 -12 7 -2 7 -6 6 1 -9 5 -6 -11
-9 10 -5 2 -4 -5 16 10 -2 5 6 -3
-2 -14 9 -3 9 -6 6 1 -11 6 -7 -12
-5 5 -2 1 -2 -3 8 5 -1 3 3 -2
-1 -7 4 -1 4 -3 3 0 -5 3 -3 -6
-3 3 -1 0 -1 -1 4 2 -1 1 2 -1
-1 -4 3 -1 2 -1 2 0 -3 2 -1 -3
-7 9 -5 2 -5 -4 12 8 -1 5 6 -3
-2 -10 5 -1 5 -5 5 1 -7 4 -5 -10
-4 4 -2 1 -1 -2 6 4 -1 2 2 -2
0 -5 3 -1 3 -2 2 0 -4 2 -2 -4
-5 5 -3 1 -2 -3 8 5 -1 3 3 -2
-1 -7 4 -1 4 -3 3 1 -5 3 -3 -6
-6 6 -3 1 -2 -3 10 6 -1 2 4 -2
-1 -9 6 -2 6 -4 4 1 -7 4 -4 -7
-4 4 -2 1 -1 -2 6 4 -1 2 2 -1
-1 -5 3 -1 3 -2 2 0 -4 2 -2 -4
-12 15 -8 3 -7 -7 22 14 -2 7 10 -5
-4 -19 11 -3 11 -9 9 2 -14 8 -9 -18
-12 15 -8 3 -8 -7 22 15 -2 8 10 -5
-4 -18 11 -2 10 -9 9 1 -14 7 -9 -18
-8 10 -6 2 -5 -5 15 10 -1 5 6 -4
-2 -12 7 -2 7 -6 6 1 -9 5 -6 -11
-9 10 -5 2 -4 -5 16 10 -2 5 6 -4
-2 -14 9 -3 9 -6 6 1 -10 6 -7 -12
-7 8 -4 1 -4 -4 12 8 -1 4 5 -3
-2 -10 6 -2 6 -5 5 1 -7 4 -5 -9
-5 6 -3 1 -3 -3 8 6 -1 3 3 -2
-1 -7 4 -1 4 -3 3 1 -5 3 -3 -6
-11 13 -7 3 -6 -7 20 13 -2 7 9 -5
-3 -17 10 -3 10 -8 8 1 -13 7 -8 -16
-2 2 -1 1 -1 -1 3 2 -1 2 2 0
-1 -2 1 1 0 -1 1 -1 -2 0 -1 -3
-5 6 -3 0 -2 -3 9 5 -1 2 3 -2
-1 -8 5 -2 5 -3 4 1 -6 4 -3 -6
-7 9 -5 2 -5 -4 13 9 -1 5 6 -3
-2 -11 6 -1 6 -6 5 1 -8 4 -6 -11
24
-11 14 -7 3 -7 -6 20 13 -2 7 9 -4
-4 -17 10 -2 10 -8 8 1 -13 7 -9 -17
0 0 1 0 0 0 0 0 0 0 0 0
-1 0 0 0 0 0 0 0 0 0 0 0
-2 2 0 0 0 -1 4 2 -1 1 1 -1
-1 -3 2 -1 2 -1 1 0 -2 1 -1 -2
-2 2 0 0 0 -1 3 2 -1 1 1 -1
-1 -3 2 -1 2 -1 1 0 -2 1 -1 -2
0 0 0 0 0 0 0 1 0 0 -1 0
0 0 0 0 0 0 0 0 0 0 0 0
-1 0 1 0 1 0 1 0 -1 0 0 0
0 -2 1 -1 1 0 1 0 -1 1 0 -1
-3 3 -1 0 -1 -1 5 3 -1 1 2 -1
-1 -5 3 -1 3 -2 2 1 -3 2 -2 -4
-4 4 -2 1 -1 -2 7 5 -1 2 2 -1
-1 -6 4 -1 4 -2 2 0 -5 2 -3 -5
2 -3 2 -1 2 1 -3 -2 0 -2 -2 1
1 2 -1 0 -1 1 -1 0 2 -1 1 3
4 -5 3 -1 3 3 -7 -5 0 -3 -3 2
1 5 -3 1 -4 3 -2 -1 4 -2 3 5
-1 1 0 0 0 0 2 1 -1 0 0 0
0 -3 2 -1 2 0 1 0 -2 2 -1 -2
1 -2 1 0 1 1 -2 -1 0 -1 -1 1
0 1 0 1 -1 1 -1 0 1 -1 0 1
-5 6 -3 1 -3 -3 10 6 -1 3 4 -2
-2 -9 5 -1 5 -4 4 1 -6 4 -4 -8
-2 2 -1 1 -1 -1 3 3 -1 2 1 -1
0 -3 1 0 1 -1 1 0 -2 1 -1 -3
2 -2 1 0 1 1 -3 -2 0 -1 -1 1
0 2 -2 1 -2 1 -1 0 2 -1 1 2
-5 7 -3 1 -3 -3 10 6 -1 3 4 -2
-2 -9 5 -2 5 -4 4 1 -6 4 -4 -8
-9 11 -6 3 -6 -5 17 11 -2 6 8 -3
-3 -15 9 -2 8 -7 7 1 -11 6 -8 -15
-6 7 -4 2 -3 -3 12 8 -1 3 5 -2
-2 -11 7 -2 7 -5 4 1 -8 4 -6 -10
-4 4 -2 1 -1 -2 7 5 -1 2 2 -1
-1 -6 4 -1 4 -3 2 0 -5 2 -3 -5
-3 3 -1 1 -1 -1 5 3 -1 1 2 -1
-1 -5 3 -1 3 -2 2 0 -3 2 -2 -4
3 -4 2 -1 2 2 -5 -3 0 -2 -2 2
0 4 -2 1 -3 2 -2 0 3 -2 2 4
5 -6 4 -2 4 3 -10 -6 0 -3 -5 2
2 8 -5 1 -5 5 -4 -1 6 -3 5 8
-4 4 -2 1 -2 -2 7 4 -1 2 3 -1
-1 -7 4 -1 4 -3 3 1 -4 3 -4 -6
4 -5 4 -2 4 3 -8 -6 0 -4 -4 2
1 6 -3 0 -3 4 -3 -1 4 -2 4 7
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 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0
4 -5 3 -1 3 3 -7 -5 0 -2 -3 2
1 5 -3 1 -3 3 -3 -1 4 -2 3 5
4 -5 3 -1 3 3 -7 -5 0 -3 -3 2
1 5 -3 1 -3 3 -2 -1 4 -2 3 5
0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0
2 -2 1 -1 1 1 -3 -2 0 -1 -1 1
0 3 -2 1 -2 1 -1 0 2 -1 2 2
3 -3 2 -1 2 2 -5 -4 0 -2 -2 1
1 3 -2 0 -2 2 -1 0 3 0 2 3
2 -2 1 -1 1 1 -3 -2 0 -1 -1 1
0 2 -1 1 -2 1 -1 0 2 -1 2 2
4 -5 4 -2 3 3 -9 -6 0 -3 -4 2
1 7 -4 1 -4 4 -3 -1 5 -2 5 7
-1 2 -1 0 -1 -1 3 2 0 1 1 -1
-1 -2 1 0 1 -1 1 0 -2 1 0 -2
-1 2 -1 0 -1 -1 2 2 0 1 1 -1
0 -2 1 0 1 -1 1 0 -2 1 0 -2
-1 2 -1 0 -1 -1 2 2 0 1 1 -1
-1 -2 1 0 1 -1 1 0 -1 1 0 -2
8 -10 6 -3 6 5 -15 -10 1 -6 -7 3
3 12 -7 1 -6 6 -6 -1 9 -4 7 13
8 -9 6 -3 5 5 -14 -10 1 -5 -6 3
2 11 -7 1 -7 6 -5 -1 9 -4 7 11
8 -10 6 -3 6 5 -15 -10 1 -6 -8 3
3 12 -7 1 -6 7 -6 -1 9 -4 7 13
7 -8 4 -1 4 4 -12 -8 1 -4 -5 3
2 10 -6 2 -6 5 -5 -1 7 -4 5 9
5 -5 3 -1 2 2 -8 -5 1 -2 -3 2
1 7 -5 2 -5 3 -3 -1 5 -3 4 6
-3 5 -3 1 -3 -2 6 4 0 2 3 -1
-1 -6 3 0 3 -3 3 1 -4 3 -3 -6
2 -2 1 0 1 1 -3 -2 0 -1 -1 1
0 2 -2 1 -2 1 -1 0 2 -1 2 2
5 -5 2 -1 2 3 -8 -5 1 -2 -3 2
1 7 -5 2 -5 3 -3 -1 5 -3 4 6
2 -3 2 -1 2 1 -4 -3 0 -2 -2 1
1 2 -1 0 -1 2 -1 0 2 0 2 3
-2 3 -1 0 -1 -1 4 2 -1 1 2 -1
-1 -4 3 -1 2 -1 2 0 -3 2 -1 -4
10 -12 7 -3 6 6 -19 -12 1 -6 -8 4
3 16 -10 3 -10 8 -7 -2 12 -6 9 15
-6 8 -5 2 -4 -4 12 8 -1 4 5 -3
-2 -10 6 -1 6 -5 5 1 -8 4 -5 -10
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe