The Lattice C2 x S7
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 13:23:25 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
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NAME
C2 x S7
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DIMENSION
21
-
GRAM
21
6 -2 0 -2 2 2 -1 0 2 2 -2 1 1 0 -2
-1 0 0 0 -2 2
-2 6 2 1 2 0 0 0 0 2 1 0 1 -1 0
0 -2 2 -1 0 0
0 2 6 0 0 0 -1 2 -1 0 0 -2 0 -1 -1
-2 0 2 -1 0 -1
-2 1 0 6 -1 -2 -1 0 2 -1 -2 0 -2 0 0
0 0 0 -2 0 -2
2 2 0 -1 6 0 -2 0 1 2 -1 2 2 0 0
1 0 0 0 -2 1
2 0 0 -2 0 6 1 0 0 0 -2 2 0 1 -1
-2 -1 2 0 -1 0
-1 0 -1 -1 -2 1 6 -2 -2 0 0 0 2 -2 1
-1 0 0 0 0 0
0 0 2 0 0 0 -2 6 1 -1 0 0 -2 1 1
-1 0 1 0 0 0
2 0 -1 2 1 0 -2 1 6 0 -2 1 -1 2 -2
-1 0 0 0 -2 0
2 2 0 -1 2 0 0 -1 0 6 -1 0 2 -2 0
0 -1 2 1 0 0
-2 1 0 -2 -1 -2 0 0 -2 -1 6 -2 1 0 1
2 0 0 0 1 2
1 0 -2 0 2 2 0 0 1 0 -2 6 0 0 1
2 0 0 0 -2 -1
1 1 0 -2 2 0 2 -2 -1 2 1 0 6 0 0
0 0 0 0 -1 0
0 -1 -1 0 0 1 -2 1 2 -2 0 0 0 6 -2
-1 -1 -1 1 0 0
-2 0 -1 0 0 -1 1 1 -2 0 1 1 0 -2 6
2 1 0 0 -2 0
-1 0 -2 0 1 -2 -1 -1 -1 0 2 2 0 -1 2
6 0 0 0 -1 1
0 -2 0 0 0 -1 0 0 0 -1 0 0 0 -1 1
0 6 -2 2 -2 -2
0 2 2 0 0 2 0 1 0 2 0 0 0 -1 0
0 -2 6 -1 0 0
0 -1 -1 -2 0 0 0 0 0 1 0 0 0 1 0
0 2 -1 6 0 -2
-2 0 0 0 -2 -1 0 0 -2 0 1 -2 -1 0 -2
-1 -2 0 0 6 0
2 0 -1 -2 1 0 0 0 0 0 2 -1 0 0 0
1 -2 0 -2 0 6
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DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 15 15 15 15 15 30
-
MINIMAL_NORM
6
-
KISSING_NUMBER
420
-
GROUP_ORDER
10080
-
GROUP_NAME
C2 x S7
-
GROUP_GENERATORS
2
21
0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1
-6 -6 3 3 2 4 0 1 2 4 3 1
1 -2 -2 0 -1 -2 1 -1 2
0 0 0 0 0 0 -1 0 0 0 0 0
0 0 0 0 0 0 0 0 0
2 3 -2 -2 -2 -2 -1 0 -1 -2 -2 0
0 0 0 0 1 1 -1 0 -1
-10 -11 6 6 4 7 1 1 3 7 6 2
1 -3 -3 0 -3 -4 2 -2 4
-2 -3 2 2 2 2 1 0 1 2 2 0
0 0 0 0 0 -1 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0 0
2 1 0 0 0 0 0 0 0 -1 0 -1
0 0 1 1 0 0 0 1 -1
-1 0 -1 0 -1 0 -1 1 -1 0 -1 0
1 -1 -1 0 0 0 0 -1 1
-2 -2 2 1 1 2 1 0 2 2 1 0
0 0 0 1 0 -1 0 1 1
0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0
-6 -8 4 5 4 5 2 1 2 5 5 1
0 -2 -2 0 -2 -3 1 -1 2
-4 -4 2 2 1 2 0 0 1 3 2 1
0 -1 -1 -1 -1 -1 1 -1 2
0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
-3 -4 3 3 2 3 1 0 1 3 3 1
0 -1 -1 0 -1 -2 1 0 1
-3 -4 2 2 2 2 1 0 1 2 2 1
0 -1 -1 0 -1 -1 1 0 1
-2 -2 1 2 1 2 0 0 0 1 1 0
0 -1 -1 0 -1 -1 1 -1 1
-3 -4 3 2 2 3 1 0 2 3 2 0
0 0 0 1 0 -2 0 1 1
-2 -2 1 2 1 2 0 0 1 1 1 0
1 -1 0 0 -1 -1 1 0 1
8 8 -4 -5 -3 -5 0 -1 -1 -5 -4 -2
-1 3 3 1 2 3 -2 2 -4
0 0 0 -1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
21
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0
-2 -2 1 2 1 1 0 0 0 1 2 1 0 -1 -1
-1 -1 -1 1 -1 1
-5 -6 4 4 3 5 1 0 2 4 4 1 0 -1 -1
0 -1 -3 1 0 2
2 4 -3 -2 -2 -3 -2 0 -2 -3 -3 0 1 0 0
-1 1 2 0 0 0
1 0 0 1 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0
1 1 0 -1 -1 -1 0 0 0 -1 -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 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0
6 7 -5 -4 -3 -5 -2 0 -3 -5 -4 -1 0 1 1
-1 1 3 -1 0 -2
-2 -3 1 2 1 1 0 0 0 2 2 1 0 -1 -1
-1 -1 -1 1 -1 1
-3 -4 3 2 3 3 2 0 2 3 3 0 -1 0 0
1 -1 -2 0 0 0
4 5 -3 -3 -3 -4 -1 0 -2 -3 -3 0 0 1 0
0 1 2 -1 0 -1
-6 -8 4 5 4 5 2 1 2 5 5 1 0 -2 -2
0 -2 -3 1 -1 2
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0
-2 -1 0 0 0 0 0 0 0 1 0 0 0 0 -1
0 0 0 0 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0
3 2 0 -1 0 -1 1 -1 0 -1 -1 -1 -1 2 2
1 1 1 -1 2 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 0 0
2 1 0 0 0 0 1 0 0 0 0 -1 -1 1 1
1 0 0 0 1 -1
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 0 0 0 0 0 0 0 0
0 0 0 0 -1 0
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe