The Lattice Q(A_6^(2),1,1,1)
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 13:16:05 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
GRAM MATRIX
MINIMUM
KISSING NUMBER
GROUP ORDER
GROUP GENERATORS
MODULAR = 6
NOTES
LAST LINE
-
NAME
Q(A_6^(2),1,1,1)
-
GRAM MATRIX
12 0
4
-2 4
-2 2 4
-2 1 2 4
1 1 1 -1 4
1 -2 0 -1 -1 4
1 0 0 0 1 0 4
0 1 0 0 1 -1 2 4
0 0 0 0 1 0 2 2 4
0 0 0 1 0 0 2 1 2 4
0 0 1 1 0 0 1 -1 -1 1 4
0 1 0 0 0 0 1 2 0 1 -1 4
-
MINIMUM
4
-
KISSING NUMBER
84
-
GROUP ORDER
2^6 * 3^1 * 7^1 = 1344
-
GROUP GENERATORS
3
12
0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 1 -1 1 0
0 0 0 0 0 0 0 1 0 0 0 -1
0 0 0 0 0 0 0 1 -1 0 0 -1
0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 -1 0
1 1 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0
1 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 1 -1 0 0 0 0 0 0 0 0
12
-1 -1 0 0 1 0 0 0 0 0 0 0
0 0 0 0 -1 0 0 0 0 0 0 0
0 1 -1 1 0 1 0 0 0 0 0 0
0 1 -1 0 0 1 0 0 0 0 0 0
-1 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 1 1 0 0 0 0 0 0 0
0 0 0 0 0 0 -1 0 1 0 0 0
0 0 0 0 0 0 -1 0 0 0 0 0
0 0 0 0 0 0 -1 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 -1 1 0 0 1
0 0 0 0 0 0 0 0 -1 1 -1 -1
12
1 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 1 -1 -1 -1 0 0 0 0 0 0
-1 0 0 -1 0 0 0 0 0 0 0 0
1 1 0 0 -1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0 0 0 0 0
0 0 0 0 0 0 1 0 -1 0 -1 0
0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 -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 -1 0 0
0 0 0 0 0 0 0 1 0 0 0 0
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MODULAR = 6
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NOTES
Extremal strongly 6-modular lattice
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LAST LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe