The Lattice hA22^(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 13:23:33 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
hA22^(3)
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DIMENSION
22
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GRAM
22
6 2 2 1 1 2 2 1 3 1 0 1 2 0 1 1 1 2 0
1 2 2
2 6 1 1 1 0 2 1 0 0 1 1 0 1 0 1 3 0 2
1 1 1
2 1 6 3 3 2 3 2 2 3 2 1 2 1 3 2 2 1 1
2 2 3
1 1 3 6 3 2 2 3 2 3 3 1 2 2 2 0 2 2 2
2 3 3
1 1 3 3 6 2 3 2 1 1 2 2 3 2 3 2 3 1 3
3 1 2
2 0 2 2 2 6 2 3 1 2 1 3 2 3 2 2 1 2 1
2 2 3
2 2 3 2 3 2 6 2 1 2 3 1 3 3 3 3 1 2 2
2 1 1
1 1 2 3 2 3 2 6 3 2 3 1 3 2 3 2 2 2 2
1 3 2
3 0 2 2 1 1 1 3 6 3 0 1 2 0 2 2 1 2 1
1 3 3
1 0 3 3 1 2 2 2 3 6 2 3 1 2 3 2 0 3 2
2 2 3
0 1 2 3 2 1 3 3 0 2 6 0 2 3 3 0 2 2 2
1 1 0
1 1 1 1 2 3 1 1 1 3 0 6 1 3 1 2 0 0 3
3 0 3
2 0 2 2 3 2 3 3 2 1 2 1 6 2 2 2 1 3 2
0 1 1
0 1 1 2 2 3 3 2 0 2 3 3 2 6 2 2 1 2 2
2 0 1
1 0 3 2 3 2 3 3 2 3 3 1 2 2 6 2 2 2 1
3 2 2
1 1 2 0 2 2 3 2 2 2 0 2 2 2 2 6 2 2 2
2 1 2
1 3 2 2 3 1 1 2 1 0 2 0 1 1 2 2 6 1 2
2 3 2
2 0 1 2 1 2 2 2 2 3 2 0 3 2 2 2 1 6 1
0 2 0
0 2 1 2 3 1 2 2 1 2 2 3 2 2 1 2 2 1 6
3 0 2
1 1 2 2 3 2 2 1 1 2 1 3 0 2 3 2 2 0 3
6 1 3
2 1 2 3 1 2 1 3 3 2 1 0 1 0 2 1 3 2 0
1 6 2
2 1 3 3 2 3 1 2 3 3 0 3 1 1 2 2 2 0 2
3 2 6
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 23 23 23 23 23
-
MINIMAL_NORM
6
-
KISSING_NUMBER
4048
-
GROUP_ORDER
12144
-
GROUP_NAME
C2 x PSL(223)
-
GROUP_GENERATORS
2
22
1 2 -1 0 1 2 -4 -2 0 3 1 -4 2 1 0
2 -2 -3 1 1 1 -1
1 2 -1 -1 2 2 -4 -2 0 3 1 -5 2 2 0
2 -3 -3 1 1 2 -1
0 3 -1 -1 2 2 -4 -3 1 2 2 -4 2 1 0
2 -3 -2 0 1 1 0
0 2 0 0 1 2 -3 -3 1 -1 2 -2 1 0 1
2 -3 -1 1 0 1 0
0 2 -1 0 1 2 -2 -2 1 2 1 -3 2 0 0
1 -1 -2 0 1 0 -1
0 1 0 0 0 1 -1 -1 0 1 0 -1 1 0 0
0 0 -1 0 1 0 -1
0 3 -1 -1 2 3 -4 -3 1 3 2 -5 2 1 0
2 -3 -3 1 1 1 -1
1 0 0 -1 1 0 -1 0 -1 2 0 -2 1 1 -1
0 0 -1 0 1 0 0
0 1 0 -1 1 0 -2 -1 0 0 2 -1 1 0 -1
1 -2 0 0 1 1 1
-1 2 0 -1 1 1 -2 -2 1 -1 2 -1 1 0 0
1 -3 0 0 1 1 1
0 2 0 0 1 2 -3 -3 1 0 2 -3 1 1 1
2 -3 -2 1 0 1 0
0 1 -1 -1 1 1 -1 0 0 3 0 -2 2 0 -1
0 0 -2 -1 2 0 -1
1 2 -1 -1 2 2 -3 -1 0 4 1 -4 2 1 -1
1 -1 -3 0 1 0 -1
-1 2 0 -1 1 2 -2 -2 1 0 2 -2 1 0 0
1 -2 -1 0 1 1 0
0 1 -1 -1 1 1 -1 -1 0 3 0 -3 2 1 -1
0 0 -2 0 1 0 0
-1 2 0 -1 1 1 -2 -2 1 0 2 -1 1 0 0
1 -2 0 0 1 1 0
0 2 0 0 1 1 -3 -3 1 -1 2 -2 1 1 1
2 -3 -1 1 0 2 0
-1 2 1 0 0 1 -2 -2 1 -3 2 0 0 0 1
1 -3 1 1 0 1 1
0 1 0 0 0 1 -1 -1 1 0 1 -1 1 0 0
1 -1 -1 0 1 0 -1
0 1 -1 0 0 1 -1 -1 0 2 0 -2 2 0 0
1 0 -2 0 1 0 -1
1 0 0 -1 1 -1 -1 0 -1 0 0 -1 0 1 0
0 -1 0 1 0 1 1
0 2 -1 0 1 2 -3 -3 1 1 2 -2 2 0 0
2 -2 -2 0 1 1 -1
22
1 2 -1 -1 2 2 -4 -2 0 3 1 -5 2 2 0
2 -3 -3 1 1 2 -1
1 2 -1 0 1 2 -4 -2 0 3 1 -4 2 1 0
2 -2 -3 1 1 1 -1
0 2 -1 -2 2 2 -3 -2 1 3 2 -4 2 1 -1
1 -2 -2 0 1 1 0
1 1 -1 -1 2 2 -3 -1 0 4 1 -4 2 1 -1
1 -1 -3 0 1 0 -1
0 2 -1 0 1 2 -3 -2 1 2 2 -3 2 0 0
2 -2 -2 0 1 0 -1
0 1 0 -1 1 1 -2 -1 0 1 1 -2 1 1 0
1 -2 -1 1 0 1 0
0 3 -1 -1 2 3 -4 -3 1 3 2 -5 2 1 0
2 -3 -3 1 1 1 -1
0 1 0 0 0 2 -2 -2 1 0 1 -1 1 0 1
1 -1 -1 1 0 0 -1
0 2 -1 -1 2 2 -3 -2 1 2 1 -3 2 1 0
1 -2 -2 0 1 1 -1
0 1 -1 -2 2 1 -2 -1 0 3 1 -3 2 1 -1
0 -1 -2 0 1 1 0
0 1 0 0 0 2 -2 -2 1 1 1 -2 1 0 1
1 -1 -2 1 0 0 -1
-1 2 0 0 1 1 -3 -3 1 -2 3 -1 1 0 1
2 -4 0 1 0 2 1
0 2 0 0 1 2 -3 -3 1 0 2 -2 1 0 1
2 -3 -1 1 0 1 -1
-1 2 0 0 1 2 -3 -3 1 0 2 -2 1 0 1
2 -3 -1 1 0 1 0
-1 1 0 -1 0 1 -1 -1 1 0 1 -1 1 0 0
0 -1 0 0 1 0 0
-1 2 0 -1 1 1 -2 -2 1 0 2 -1 1 0 0
1 -2 0 0 1 1 0
0 1 0 0 0 1 -2 -1 1 1 1 -1 1 0 0
1 -1 -1 0 1 0 -1
1 0 -1 -1 1 1 -1 0 -1 5 -1 -3 2 1 -1
0 1 -3 0 1 0 -2
0 1 0 1 0 1 -2 -2 1 0 1 -1 1 0 1
1 -1 -1 1 0 0 -1
-1 1 0 0 0 1 -1 -1 1 0 1 -1 1 0 0
0 -1 0 0 1 0 0
1 0 -1 -1 1 1 -1 0 0 3 0 -2 1 1 -1
0 0 -2 0 1 0 -1
0 1 0 -2 2 0 -2 0 0 1 1 -2 1 1 -1
0 -2 0 0 1 1 1
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe