The Lattice A16^(3)
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 13:09:20 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
A16^(3)
-
DIMENSION
16
-
GRAM
16
6 0 3 -2 -2 0 1 -2 -3 2 3 -2 0 0 3
-3
0 6 0 3 -2 -2 -3 1 -2 -1 0 -3 -3 3 1
2
3 0 6 -2 1 -2 2 1 -2 3 1 -2 -1 1 3
-2
-2 3 -2 6 -2 1 -1 2 1 -2 0 -2 0 3 -1
1
-2 -2 1 -2 6 -2 2 2 2 0 -2 2 -1 -1 -2
0
0 -2 -2 1 -2 6 -1 0 2 -2 2 0 1 -2 -2
-2
1 -3 2 -1 2 -1 6 -1 1 3 1 1 2 -1 0
-1
-2 1 1 2 2 0 -1 6 0 -2 0 0 -2 1 0
-1
-3 -2 -2 1 2 2 1 0 6 0 -2 2 0 0 -3
1
2 -1 3 -2 0 -2 3 -2 0 6 1 -1 0 1 3
1
3 0 1 0 -2 2 1 0 -2 1 6 -1 1 0 1
-1
-2 -3 -2 -2 2 0 1 0 2 -1 -1 6 2 -2 -1
0
0 -3 -1 0 -1 1 2 -2 0 0 1 2 6 0 0
0
0 3 1 3 -1 -2 -1 1 0 1 0 -2 0 6 2
2
3 1 3 -1 -2 -2 0 0 -3 3 1 -1 0 2 6
-1
-3 2 -2 1 0 -2 -1 -1 1 1 -1 0 0 2 -1
6
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 17 17 17 17 17
-
MINIMAL_NORM
6
-
KISSING_NUMBER
1088
-
GROUP_ORDER
9792
-
GROUP_NAME
C2 x PGL(2,17)
-
GROUP_GENERATORS
2
16
0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 1
1
0 0 0 0 0 1 1 0 -1 0 -1 0 0 0 0
0
0 -1 0 0 0 0 0 0 0 -1 0 -1 0 0 1
1
0 0 0 0 0 2 1 0 -2 1 -1 1 -1 1 -1
0
0 0 1 1 1 0 -1 -1 0 0 0 0 0 0 0
0
0 1 0 0 0 1 0 0 0 1 0 1 0 0 0
0
0 -2 1 1 0 -1 -1 -1 0 -1 1 0 -1 0 0
1
0 1 0 0 1 2 0 0 -1 1 -1 0 0 0 0
0
1 0 1 1 0 0 -1 0 0 1 0 1 0 0 -1
0
0 -2 0 0 -1 -2 -1 0 1 -1 1 -1 0 0 0
0
-1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0
0
1 1 0 0 0 -1 -1 1 1 1 0 0 1 -1 -1
0
0 1 -1 -2 -1 0 1 1 0 0 0 0 0 1 -1
0
0 0 0 -1 -1 1 1 1 -1 0 -1 0 0 1 -1
0
0 0 -1 -1 0 0 0 1 0 0 0 -1 1 0 0
0
0 0 0 0 -1 -1 0 0 0 0 0 0 0 0 -1
-1
16
1 0 0 0 0 0 0 0 1 -1 0 0 0 0 1
1
-1 -2 1 1 0 -1 -1 -1 0 -1 1 0 -1 0 1
0
0 1 0 -1 0 1 1 0 0 -1 0 0 0 0 1
1
0 -1 0 1 1 0 -1 0 -1 1 0 0 0 0 0
0
0 1 0 -1 -1 0 1 1 0 0 0 0 0 0 -1
0
1 0 -1 1 1 1 0 0 -1 1 -1 0 0 0 0
0
0 2 -1 -2 0 0 1 1 1 0 0 -1 1 0 0
0
0 -1 1 2 1 1 0 -1 -2 0 0 1 -1 0 0
1
0 1 -1 -1 0 0 0 1 0 1 0 -1 1 0 -1
-1
0 1 0 -1 0 -1 0 0 2 -1 1 -1 1 -1 1
0
1 -1 0 1 1 0 0 -1 0 -1 0 0 -1 0 1
1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
0
1 1 -1 -1 0 0 0 1 0 1 -1 0 1 0 -1
0
0 -1 0 0 0 -1 -1 0 0 0 1 0 0 0 0
0
0 -1 1 1 0 -1 -1 -1 1 -1 1 0 0 -1 1
1
-1 -1 0 -1 -1 -2 0 0 1 -1 1 -1 0 0 0
-1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe