The Lattice (C2 x Alt6).(C2 x 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 13:22:04 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 Alt6).(C2 x C2)
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DIMENSION
16
-
GRAM
16
8 -3 0 0 -3 -2 1 0 0 -1 2 1 -3 -2 0 1
-3 8 1 -2 2 3 -3 -3 -1 0 -3 1 -2 0 3 3
0 1 8 1 1 3 3 1 2 -1 1 -2 2 -1 -3 2
0 -2 1 8 3 -3 3 1 3 -2 2 2 3 0 -2 -2
-3 2 1 3 8 -2 2 -3 -1 1 -3 1 0 1 -2 -2
-2 3 3 -3 -2 8 0 -1 2 -2 -2 -3 0 -3 0 2
1 -3 3 3 2 0 8 2 0 1 1 -3 2 -3 -2 0
0 -3 1 1 -3 -1 2 8 -1 2 2 0 3 1 1 0
0 -1 2 3 -1 2 0 -1 8 -3 2 1 1 -2 -1 -2
-1 0 -1 -2 1 -2 1 2 -3 8 0 0 -2 -1 3 2
2 -3 1 2 -3 -2 1 2 2 0 8 -2 2 1 0 2
1 1 -2 2 1 -3 -3 0 1 0 -2 8 -1 2 2 -3
-3 -2 2 3 0 0 2 3 1 -2 2 -1 8 3 -3 -2
-2 0 -1 0 1 -3 -3 1 -2 -1 1 2 3 8 0 -2
0 3 -3 -2 -2 0 -2 1 -1 3 0 2 -3 0 8 2
1 3 2 -2 -2 2 0 0 -2 2 2 -3 -2 -2 2 8
-
DIVISORS
1 1 1 1 1 1 1 1 15 15 15 15 15 15 15 15
-
MINIMAL_NORM
8
-
KISSING_NUMBER
180
-
GROUP_ORDER
2880
-
GROUP_NAME
(C2 x A6).(C2 x C2)
-
GROUP_GENERATORS
3
16
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 1 0 1 -2 0 1 -1 0 1 -1 0 0 1 -1 0
0 0 0 0 0 0 -1 0 0 0 0 0 1 -1 0 0
0 -1 0 0 1 1 -1 0 -1 0 1 1 0 -1 0 0
0 0 0 1 -1 1 0 -1 -1 1 0 0 0 0 0 -1
0 0 0 -1 0 -1 0 0 1 0 -1 0 1 0 0 1
1 0 -1 -1 2 1 -1 1 0 0 1 0 1 -1 0 0
0 0 0 -1 2 0 -1 1 0 -1 1 0 0 -1 0 0
-1 -1 0 -1 0 -1 0 0 0 -1 0 1 0 -1 0 1
1 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1
0 0 0 -1 1 0 0 1 0 -1 1 1 0 -1 0 0
-1 -1 1 1 -1 0 0 -1 -1 0 0 0 -1 0 0 0
0 0 0 0 1 0 -1 1 0 0 0 0 0 -1 0 0
-1 0 1 1 -1 0 0 0 -1 0 0 0 -1 0 0 -1
0 1 0 0 -1 0 1 0 0 0 0 0 -1 1 -1 0
1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
16
0 0 0 0 0 0 1 0 0 0 0 0 -1 1 0 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 1 1 0 0 0 0 1 0 0 0 0 0
0 0 0 -1 1 -1 0 0 0 -1 0 0 1 -1 1 0
-1 0 0 -1 0 -1 0 0 0 -1 0 0 0 -1 0 0
0 0 0 1 -1 1 0 -1 0 1 0 0 0 1 0 0
-1 0 0 0 -1 -1 1 -1 0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 1 0 -1 0 0 0 0 -1 1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
1 0 -1 -1 2 0 0 1 1 0 0 0 1 0 0 1
0 -1 1 0 1 0 -1 0 -1 -1 0 0 0 -1 1 0
0 -1 0 0 1 0 -1 0 0 0 0 0 1 -1 1 0
0 0 0 0 1 0 -1 1 0 0 0 0 0 -1 0 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 -1 0 0 1 1 0 1 1 0 0 0 1 -1 0
16
-1 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0
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 -1 0 0 0 0 0
0 0 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 -1 0 0 0
0 0 0 0 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 -1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe