The Lattice A22^(6)
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 13:09:39 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
A22^(6)
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DIMENSION
22
-
GRAM
22
12 3 -4 4 4 0 1 3 0 4 -2 -3 3 -2 -3
3 -4 -4 0 4 2 4
3 12 -1 4 3 2 4 4 0 1 2 1 -1 4 -1
-3 -1 0 -3 3 4 0
-4 -1 12 -3 2 0 -1 -4 0 2 3 3 -2 4 2
-3 4 -1 2 -4 0 -2
4 4 -3 12 4 -2 2 2 -2 2 -4 3 0 2 -2
3 -1 -2 1 2 3 4
4 3 2 4 12 0 4 3 -4 4 1 0 2 3 -2
4 -3 -2 -4 0 2 2
0 2 0 -2 0 12 -3 -4 4 -2 4 0 0 -4 1
0 3 4 -2 -2 4 2
1 4 -1 2 4 -3 12 4 -4 0 -4 2 0 1 0
-2 -3 0 0 3 0 -1
3 4 -4 2 3 -4 4 12 -2 0 -2 1 0 2 0
-2 -3 -3 -3 0 -2 4
0 0 0 -2 -4 4 -4 -2 12 0 2 1 4 -1 3
0 1 0 -2 -4 -2 -4
4 1 2 2 4 -2 0 0 0 12 -1 -2 1 4 -2
4 -2 -4 2 3 4 3
-2 2 3 -4 1 4 -4 -2 2 -1 12 0 2 2 2
2 0 2 -2 0 0 -4
-3 1 3 3 0 0 2 1 1 -2 0 12 0 0 4
-2 1 2 3 -2 -4 0
3 -1 -2 0 2 0 0 0 4 1 2 0 12 0 -2
4 -2 0 0 0 -3 -2
-2 4 4 2 3 -4 1 2 -1 4 2 0 0 12 -2
0 1 -3 -1 0 0 0
-3 -1 2 -2 -2 1 0 0 3 -2 2 4 -2 -2 12
-2 -2 -2 2 -4 0 0
3 -3 -3 3 4 0 -2 -2 0 4 2 -2 4 0 -2
12 -2 0 0 1 2 0
-4 -1 4 -1 -3 3 -3 -3 1 -2 0 1 -2 1 -2
-2 12 2 2 -4 2 0
-4 0 -1 -2 -2 4 0 -3 0 -4 2 2 0 -3 -2
0 2 12 -4 -2 -2 -4
0 -3 2 1 -4 -2 0 -3 -2 2 -2 3 0 -1 2
0 2 -4 12 4 0 3
4 3 -4 2 0 -2 3 0 -4 3 0 -2 0 0 -4
1 -4 -2 4 12 0 1
2 4 0 3 2 4 0 -2 -2 4 0 -4 -3 0 0
2 2 -2 0 0 12 4
4 0 -2 4 2 2 -1 4 -4 3 -4 0 -2 0 0
0 0 -4 3 1 4 12
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 23 23 23 23 23 23 23 23 23 23 23
-
MINIMAL_NORM
12
-
KISSING_NUMBER
506
-
GROUP_ORDER
24288
-
GROUP_NAME
C2 x PGL(223)
-
GROUP_GENERATORS
2
22
-3 7 -2 -2 1 -8 4 -7 4 0 5 -1 -2 -5 -3
2 1 -1 0 -4 -4 9
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 -2 3 0 1 -3 1 -1 0 1 1 1
0 0 -1 -1 0 -1 -2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0
-1 3 0 0 -1 -1 1 -2 -1 1 1 -1 0 -2 0
1 1 -1 -1 -1 -3 2
1 -2 -1 0 0 2 -1 1 -1 0 -1 1 0 2 1
-1 0 0 0 1 1 -2
-2 3 0 0 0 -3 2 -3 1 0 2 -1 0 -3 -1
1 1 -1 -1 -1 -2 4
-2 5 -1 -2 2 -7 2 -5 4 -1 3 -1 -1 -4 -2
1 1 0 0 -2 -2 7
1 -1 -1 0 0 0 0 0 0 0 0 1 0 1 0
-1 0 0 0 0 1 -1
-1 3 0 0 -1 -3 3 -3 1 1 3 -1 -1 -3 -1
1 1 -1 -1 -2 -3 4
2 -4 1 0 0 5 -3 5 -2 -1 -4 1 1 4 2
-1 -1 1 1 3 3 -6
1 -1 1 0 -1 2 -1 1 -2 0 -2 1 1 1 1
0 0 0 -1 1 1 -2
0 1 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 -1 1 -1 0 0 1 -1 0 -1 0
0 0 0 0 -1 -1 1
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 -1 1 0 1 -1 1 0 0 0 0 0
0 0 0 0 0 0 -1
3 -6 1 1 0 5 -3 5 -2 -1 -3 1 1 5 2
-2 -1 2 1 3 4 -6
1 -3 1 1 -1 4 -2 3 -2 0 -2 1 1 2 1
-1 -1 0 0 2 2 -4
0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0
1 0 0 -1 0 0 1
-1 1 0 -1 1 -2 1 -1 2 -1 1 0 -1 -1 -1
1 0 0 0 0 0 2
1 -3 0 1 0 3 -1 3 -1 0 -1 0 0 2 1
-1 0 1 1 1 1 -3
-2 5 -2 -2 2 -7 3 -6 4 0 4 -1 -2 -4 -2
1 1 0 0 -3 -3 8
22
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 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 -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
0 1 -1 0 0 -1 1 -2 0 1 1 0 0 -1 0
0 1 -1 -1 -1 -1 1
1 -3 2 1 0 3 -2 4 -1 -1 -3 0 1 2 2
0 0 1 0 3 2 -4
-2 5 -1 -1 -1 -5 4 -6 2 1 4 -1 -1 -4 -2
2 1 -2 -2 -3 -4 7
-1 2 -2 -1 1 -4 2 -4 2 0 3 0 -1 -2 -2
0 0 -1 0 -2 -1 4
1 -3 1 1 1 2 -2 3 0 -1 -2 0 0 2 1
-1 -1 2 1 2 2 -3
1 0 0 0 0 1 -1 0 -1 0 -1 0 0 1 1
0 0 0 0 0 0 -1
0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0
0 0 1 1 0 1 0
-2 3 0 0 -1 -3 2 -3 1 1 2 -1 0 -3 -1
1 0 -1 -1 -2 -2 4
1 -2 0 1 0 1 0 1 0 0 0 0 0 1 1
-1 0 1 0 1 1 -1
-1 2 -2 -1 2 -3 1 -3 2 0 2 0 -1 -1 -1
0 0 0 1 -2 -1 3
-2 3 0 0 0 -3 2 -3 2 0 2 -1 -1 -3 -2
1 0 -1 0 -2 -2 4
1 -1 0 0 1 1 -1 1 0 0 -1 0 0 1 1
-1 0 1 1 1 1 -2
2 -6 1 0 2 4 -4 6 0 -2 -4 1 1 5 2
-2 -1 3 2 4 5 -6
-1 2 0 -1 0 -3 1 -2 1 0 1 0 0 -2 0
1 1 0 -1 0 -1 3
1 -2 2 1 -2 4 -1 3 -2 0 -2 0 1 2 1
0 -1 0 0 1 1 -3
1 0 1 1 -3 3 0 1 -3 1 -1 0 1 1 1
1 0 -1 -1 0 -1 -2
1 -2 1 0 1 2 -2 3 0 -1 -2 0 0 2 1
0 0 1 1 2 2 -3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 0 0 0
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe