The Lattice A18^(5)
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 13:09:25 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
A18^(5)
-
DIMENSION
18
-
GRAM
18
10 2 4 3 2 0 4 2 1 4 2 3 4 3 4
0 1 2
2 10 2 4 2 4 2 2 2 3 3 4 2 2 1
3 4 2
4 2 10 2 2 2 4 2 1 2 -2 1 4 2 2
2 2 3
3 4 2 10 0 4 2 3 2 2 2 2 0 2 2
2 -2 0
2 2 2 0 10 1 2 4 2 2 4 1 4 -2 4
2 0 2
0 4 2 4 1 10 -2 1 4 -2 3 2 3 2 2
2 2 2
4 2 4 2 2 -2 10 4 0 4 2 3 2 2 2
4 3 2
2 2 2 3 4 1 4 10 3 2 4 3 2 2 2
4 0 2
1 2 1 2 2 4 0 3 10 2 2 4 3 4 2
2 2 0
4 3 2 2 2 -2 4 2 2 10 -2 2 4 3 -2
4 2 2
2 3 -2 2 4 3 2 4 2 -2 10 1 2 2 4
2 1 3
3 4 1 2 1 2 3 3 4 2 1 10 1 2 3
-2 4 -1
4 2 4 0 4 3 2 2 3 4 2 1 10 1 -1
2 3 2
3 2 2 2 -2 2 2 2 4 3 2 2 1 10 2
2 4 4
4 1 2 2 4 2 2 2 2 -2 4 3 -1 2 10
-2 2 2
0 3 2 2 2 2 4 4 2 4 2 -2 2 2 -2
10 2 3
1 4 2 -2 0 2 3 0 2 2 1 4 3 4 2
2 10 4
2 2 3 0 2 2 2 2 0 2 3 -1 2 4 2
3 4 10
-
DIVISORS
1 1 1 1 1 1 1 1 1 19 19 19 19 19 19 19 19 19
-
MINIMAL_NORM
10
-
KISSING_NUMBER
342
-
GROUP_ORDER
13680
-
GROUP_NAME
C2 x PGL(219)
-
GROUP_GENERATORS
2
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
1 -1 2 -1 0 2 0 1 1 2 2 -2 -3 -1 -2
-2 2 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0
0 0 1 -1 0 1 0 0 0 1 1 0 -1 0 -1
-1 0 0
1 -2 3 -1 0 4 1 2 1 5 4 -4 -6 -2 -3
-5 4 -2
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 1 0
0 0 0
0 0 1 -1 0 2 1 1 0 2 1 -2 -2 0 -1
-2 1 -1
1 0 1 -1 0 2 1 1 1 2 2 -3 -3 -1 -2
-3 2 -1
1 0 0 0 0 1 0 1 0 0 0 -1 -1 0 -1
-1 1 0
-1 0 1 -1 -1 0 0 0 0 1 1 0 0 0 1
0 -1 0
1 -1 1 -1 0 3 1 1 1 3 2 -3 -3 -1 -2
-3 2 -1
0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0
-1 1 0
-1 1 -1 0 -1 -2 -1 -1 -1 -2 -1 2 3 1 2
3 -2 1
-1 0 0 0 -1 -1 0 -1 0 0 0 1 1 0 1
1 -1 1
1 0 1 -1 0 1 0 1 0 1 1 -1 -2 0 -1
-1 1 -1
0 0 0 0 -1 -1 -1 0 0 0 0 0 1 0 1
1 0 0
-1 1 -1 0 -1 -2 -1 -1 -1 -2 -2 2 3 1 3
3 -2 1
18
-2 1 -2 1 -1 -3 0 -1 -1 -3 -3 3 5 1 3
3 -3 2
0 0 0 0 1 1 1 0 0 0 0 0 -1 0 -1
-1 0 0
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0
1 -1 1 0 1 2 1 1 1 2 1 -2 -3 -1 -2
-3 2 -1
-1 1 -1 0 -1 -2 0 -1 0 -2 -1 2 3 0 2
2 -2 1
1 -1 1 0 1 2 1 1 1 1 1 -2 -3 -1 -2
-2 2 -1
-1 1 -1 0 0 -2 0 -1 -1 -2 -2 2 3 1 2
2 -2 1
-1 0 0 0 0 -1 0 -1 0 0 0 1 1 0 1
1 -1 0
0 0 1 -1 0 2 1 1 1 2 1 -2 -2 -1 -1
-2 1 -1
-1 0 1 0 0 0 0 0 0 1 1 0 0 0 0
-1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 0 0
-1 1 -1 0 0 -1 1 -1 0 -2 -2 1 2 1 1
1 -2 1
-1 0 1 0 -1 0 0 0 0 1 1 0 0 -1 1
0 0 0
1 -2 3 -1 1 4 1 2 1 5 4 -4 -6 -2 -4
-5 4 -2
0 0 -1 0 0 0 1 0 0 -1 -1 0 1 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 1 1 1 0 0 0 0 -1 -1 0 -1
-1 1 0
0 0 0 1 1 -1 0 0 0 -1 0 0 0 0 -1
0 1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe