The Lattice Q8D8.Alt5SL2(5)D10.2
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 13:14:12 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM (floating point or integer Gram matrix)
DIVISORS (elementary divisors)
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_GENERATORS
PROPERTIES
REFERENCES
NOTES
URL (links to other sites for this lattice)
LAST_LINE
-
NAME
Q8D8.Alt5SL2(5)D10.2
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DIMENSION
32
-
GRAM (floating point or integer Gram matrix)
32 0
16
2 16
0 2 16
0 2 8 16
0 2 2 8 16
-1 0 1 3 4 16
4 -3 4 2 4 4 16
1 1 2 4 1 8 2 16
-1 -3 0 3 5 6 4 8 16
0 -2 6 4 5 5 8 5 4 16
1 -2 -3 2 6 8 6 2 6 3 16
-2 5 2 5 6 1 0 -1 3 -1 6 16
5 0 0 3 3 2 5 8 8 4 4 1 16
3 -4 6 4 8 1 6 -2 2 5 2 0 1 16
1 1 3 3 5 2 2 2 8 2 2 1 2 5 16
-6 -1 0 0 3 3 -2 3 4 0 1 2 -2 3 2 16
-2 -4 -1 -1 0 2 0 4 4 0 0 0 3 0 2 8 16
-1 0 -1 1 5 8 1 4 8 1 8 4 4 3 8 3 3 16
0 -2 0 4 3 8 3 4 6 6 8 3 6 4 2 0 -1 8 16
3 2 3 2 1 8 1 8 4 3 0 -2 6 3 6 1 3 8 8 16
2 0 -1 0 2 2 4 3 5 3 5 6 4 -2 5 0 6 5 1 1 16
6 0 1 -1 5 2 8 2 1 8 3 -1 6 5 2 -2 0 3 5 5 6 16
3 -1 2 2 4 4 2 -4 4 2 8 6 2 6 8 2 0 6 6 2 5 2 16
8 3 1 2 2 -6 0 -2 -4 -2 -3 2 1 3 -2 -1 -2 -2 -2 0 0 4 -1 16
5 8 -2 -2 -2 -2 -3 -3 -4 -2 -3 0 0 0 -1 -1 -2 -3 -1 1 0 0 1 2 16
-2 4 4 8 8 5 4 3 3 2 4 6 4 0 3 5 0 1 2 3 2 2 4 2 -2 16
-2 6 2 8 8 3 -2 2 2 1 4 6 5 4 4 2 0 2 5 4 2 1 6 0 4 8 16
4 8 2 2 0 0 0 -2 -2 -2 0 0 -5 0 3 -1 -2 0 -2 0 -1 -2 0 4 6 0 0 16
0 -2 2 2 0 1 4 -3 1 0 3 4 1 3 -1 0 4 1 2 -1 2 -2 3 0 -1 0 0 -2 16
4 1 4 2 5 3 8 1 0 8 3 -1 3 5 0 0 2 0 3 2 1 8 2 2 -1 2 1 -2 4 16
-3 1 5 3 2 3 4 -2 2 2 4 8 -3 2 3 6 0 5 2 1 4 2 6 1 -2 6 0 0 3 2 16
2 3 2 1 3 4 5 8 8 3 4 1 8 1 6 1 3 2 2 4 5 1 2 -2 2 4 5 1 2 2 -3 16
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DIVISORS (elementary divisors)
1^8 5^8 10^16
-
MINIMAL_NORM
16
-
KISSING_NUMBER
-
GROUP_ORDER
2^11 * 3^2 * 5^3
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GROUP_GENERATORS
4
32
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
3 -4 0 -2 2 -1 2 1 -1 1 -4 1 -1 -4 -1 1 -1 3 0 -1 -2 0 0 -1 -1 -1 5 2 1 0 1 1
-1 0 -1 0 1 -3 1 4 1 0 -1 -1 -3 -1 -2 -2 1 2 -1 0 -2 1 4 0 1 1 0 0 1 0 0 0
0 0 0 1 -1 2 0 -3 0 1 1 1 1 -1 2 2 -1 -1 -1 1 0 0 -2 1 0 -1 0 -1 0 0 -1 0
2 -2 0 1 -1 3 0 -4 -1 1 -1 2 2 -2 2 3 -2 0 -1 0 0 0 -3 0 -1 -2 2 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
-1 3 -2 0 -1 -3 -2 5 1 0 0 -2 -3 5 -2 -5 3 1 1 -2 0 0 3 -1 1 5 -3 -1 0 0 1 0
1 -1 -1 0 -1 -1 0 0 0 1 -1 1 -1 0 -1 0 0 2 -1 0 -1 1 0 -1 0 1 1 0 0 0 0 1
1 -1 -1 1 -2 -1 0 0 0 1 -1 1 -1 0 -1 0 0 2 -1 0 -1 1 0 -1 0 1 1 0 0 0 0 1
-1 3 -2 0 -1 -3 -2 4 2 0 0 -2 -3 5 -3 -5 3 1 0 -1 0 0 3 -1 1 5 -3 -1 0 0 1 0
1 -2 1 0 1 1 1 -1 -1 0 -1 1 1 -3 1 2 -1 0 0 0 0 0 -1 0 0 -2 2 0 0 0 0 0
3 -6 2 -1 2 2 3 -3 -2 1 -3 3 2 -8 2 6 -4 1 -1 1 -1 0 -2 0 -1 -5 6 2 1 0 -1 0
-1 1 -2 0 -1 -3 -1 4 1 0 -1 -1 -3 3 -3 -4 2 2 0 -1 -1 1 3 -1 1 4 -1 0 0 0 1 1
4 -7 2 0 0 4 2 -5 -2 1 -3 4 3 -8 3 7 -5 2 -2 0 -1 1 -4 0 -1 -5 6 2 1 1 -1 1
1 0 -1 0 -1 -1 -1 1 0 1 -1 0 -1 1 -1 -2 1 2 0 -1 -1 0 0 -1 0 2 0 0 0 0 1 1
7 -10 3 -1 0 5 3 -8 -3 2 -4 6 4 -11 4 10 -6 3 -2 0 -2 1 -7 -1 -2 -7 10 3 1 1 -1 1
2 -4 0 0 -1 2 0 -3 -1 1 -2 3 2 -3 1 3 -2 1 -1 0 -1 1 -2 -1 -1 -2 3 2 0 1 0 1
2 -3 0 0 -1 1 0 -2 -1 1 -2 2 1 -2 0 2 -2 2 -1 0 0 0 -2 -1 -1 -1 3 1 0 1 0 1
-1 1 0 0 0 -2 0 2 1 0 0 -1 -2 1 -2 -2 1 1 0 0 0 0 2 0 1 2 -1 -1 0 0 0 0
-2 3 -2 0 -1 -4 -2 5 2 0 0 -2 -4 5 -4 -6 3 2 0 -1 -1 1 4 -1 1 5 -3 -1 0 0 1 1
2 -2 0 0 0 1 0 -2 -1 1 -2 1 1 -2 0 2 -1 1 0 0 0 0 -1 -1 -1 -1 2 1 0 0 0 1
0 1 -1 0 0 -1 -1 2 0 0 -1 -1 -1 2 -2 -2 1 1 0 -1 0 0 2 -1 0 2 -1 0 0 0 1 1
2 -4 2 -1 2 1 2 -1 -1 0 -2 1 1 -6 1 3 -2 1 0 0 -1 0 -1 0 0 -3 4 1 1 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 1
3 -3 1 -1 0 1 1 -2 0 1 -2 1 0 -3 0 2 -1 2 0 -1 -1 0 -2 0 -1 -1 4 1 0 0 0 1
-1 3 -1 0 0 -2 -1 3 1 0 1 -2 -3 3 -1 -4 3 0 1 -1 -1 0 2 0 1 3 -2 -2 0 -1 1 0
4 -7 2 -1 2 3 3 -4 -2 1 -4 3 2 -9 2 6 -4 2 -1 0 -2 1 -3 0 -1 -5 7 2 1 0 0 1
2 -1 0 0 0 0 1 -1 0 1 -1 1 -1 -2 0 1 0 1 0 0 -1 0 -1 0 -1 -1 2 0 0 0 0 1
-4 3 -1 0 0 -2 -1 5 1 -1 1 -2 -2 4 -1 -5 3 -1 1 -1 0 0 4 1 2 3 -4 -1 0 0 0 -1
-4 5 -3 0 0 -5 -3 8 2 -1 1 -4 -4 8 -4 -9 5 0 1 -2 0 0 6 -1 2 7 -6 -1 0 0 2 0
4 -6 2 -1 1 2 2 -3 -2 1 -3 3 2 -7 2 6 -4 2 -1 0 -1 0 -3 -1 -1 -4 6 2 1 1 -1 0
-2 3 -3 0 0 -6 -1 8 2 0 -1 -3 -6 5 -5 -8 5 3 1 -2 -2 1 6 -1 2 6 -3 -1 0 -1 2 1
32
-10 13 -3 2 0 -7 -3 11 4 -3 7 -8 -6 13 -5 -13 9 -4 2 0 1 0 10 2 4 8 -13 -5 -1 -2 1 -2
5 -9 3 -2 2 4 4 -5 -3 1 -4 4 4 -11 4 8 -5 2 -1 0 -2 0 -5 0 -1 -7 9 3 1 1 0 0
4 -8 3 0 2 5 4 -8 -3 1 -3 5 6 -11 4 11 -7 0 -2 3 0 0 -5 0 -2 -9 7 3 1 1 -2 0
4 -7 2 -1 2 1 4 -3 -2 1 -4 3 2 -9 1 7 -5 3 -1 1 -1 0 -2 -1 -1 -5 7 3 1 1 -1 0
-2 3 -2 0 0 -4 -1 5 1 0 0 -2 -3 4 -3 -5 3 1 1 -1 -1 0 4 -1 1 4 -3 0 0 0 1 0
0 1 -1 0 0 -2 -1 2 0 0 -1 -1 -1 2 -1 -2 1 1 1 -1 0 0 1 -1 0 2 -1 0 0 0 1 0
-2 2 0 0 1 0 -1 0 -1 -1 2 -1 2 2 1 0 0 -3 1 1 2 -1 0 0 0 0 -3 0 0 0 0 -1
1 -1 1 0 0 0 1 -1 0 0 0 1 0 -2 1 2 -1 0 0 1 0 0 -1 0 0 -1 1 0 0 0 -1 -1
-2 2 -1 0 1 -4 -1 5 1 -1 0 -2 -3 3 -3 -4 2 0 1 0 0 0 4 -1 1 3 -3 0 0 0 1 0
1 -1 0 0 1 0 1 -1 -1 0 -1 1 1 -2 0 2 -1 0 0 1 0 0 0 -1 -1 -2 1 1 0 0 0 0
0 1 -1 0 0 -2 -1 2 0 0 0 -1 -1 2 -1 -2 1 0 1 -1 0 0 1 -1 0 2 -1 0 0 0 1 0
4 -6 1 -2 2 1 2 -1 -2 1 -4 2 2 -6 1 4 -3 2 0 -1 -1 -1 -2 -1 -1 -3 6 3 1 1 1 0
-2 1 0 0 1 -2 0 3 0 -1 1 -1 -1 1 -1 -2 1 -1 0 1 0 0 3 0 1 1 -2 0 0 0 0 -1
-6 9 -2 2 -1 -2 -3 3 2 -1 5 -4 -1 9 -2 -6 4 -4 1 1 2 -1 4 1 1 4 -9 -3 -1 -1 0 -1
-2 2 -1 0 1 -3 -1 4 1 -1 0 -2 -2 3 -3 -4 2 0 1 0 0 0 3 -1 1 3 -3 0 0 0 1 0
0 1 -1 0 -2 -1 -2 1 1 1 0 0 -1 3 -1 -2 1 1 0 -1 0 0 0 -1 0 3 -1 0 0 0 0 0
1 -2 0 0 0 -1 1 1 0 0 -2 1 -1 -2 -1 1 -1 2 -1 0 -1 1 1 -1 0 0 2 1 1 0 -1 0
0 1 -1 0 0 -1 -1 2 0 0 -1 -1 -1 2 -1 -2 1 0 1 -1 0 0 1 -1 0 2 -1 0 0 0 1 0
1 -1 0 0 1 0 0 0 -1 0 -1 0 1 -1 0 1 -1 0 0 0 0 0 0 -1 -1 -1 1 1 0 0 1 0
-3 4 -1 0 1 -3 -1 5 1 -1 1 -3 -2 4 -2 -5 3 -1 1 0 0 0 4 0 1 3 -4 -1 0 -1 1 -1
0 -1 0 -2 3 -3 1 5 0 -1 -2 -1 -2 -1 -2 -2 1 1 1 -1 -1 0 3 -1 1 1 1 1 1 0 1 -1
-3 4 -1 0 1 -2 -1 4 0 -1 2 -2 -1 4 -1 -4 3 -2 1 0 0 0 3 0 1 2 -4 -1 0 -1 1 -1
-3 3 -2 0 1 -4 -2 6 1 -1 0 -3 -2 5 -4 -6 3 0 1 -1 0 0 5 -1 1 4 -4 0 0 0 2 0
-2 3 0 0 0 -1 0 2 1 0 2 -2 -1 2 -1 -2 2 -1 0 0 0 0 2 1 1 1 -2 -1 0 -1 0 -1
-4 6 -1 0 0 -3 -1 5 2 -1 3 -4 -3 6 -2 -7 5 -1 1 -1 0 -1 4 1 2 4 -5 -3 -1 -1 1 -1
2 -4 0 -2 1 -2 0 2 -1 1 -3 1 0 -2 -1 0 -1 3 0 -1 -1 0 0 -2 0 1 3 3 1 1 1 0
4 -7 2 -2 2 1 3 -2 -2 1 -4 3 2 -8 1 5 -4 3 -1 0 -2 0 -2 -1 -1 -4 7 3 1 1 0 0
1 -1 1 0 0 1 1 -2 0 0 0 0 1 -2 1 2 -1 0 0 0 0 0 -2 0 0 -2 2 0 0 0 0 0
0 -2 0 0 2 0 1 0 -1 0 -1 0 1 -3 0 2 -2 0 -1 1 0 0 1 0 0 -2 1 1 1 0 0 0
2 -5 2 0 2 3 3 -4 -3 0 -2 3 4 -8 3 7 -4 0 -1 1 -1 1 -2 0 -1 -6 4 2 1 0 -1 0
3 -4 1 -2 2 1 1 -1 -2 1 -3 1 2 -4 1 3 -2 1 1 -1 0 -1 -2 -1 -1 -2 4 2 1 0 1 0
-2 1 0 0 1 -2 0 2 1 -1 1 -1 -1 1 -1 -2 1 -1 0 1 0 0 2 0 1 1 -2 0 0 0 0 -1
32
6 -7 3 0 -1 5 3 -9 -2 2 -2 5 3 -9 4 9 -5 2 -2 1 -1 1 -7 0 -2 -6 8 1 0 0 -2 1
4 -6 3 -1 1 3 3 -5 -2 1 -2 3 3 -8 3 7 -4 1 -1 1 -1 0 -4 0 -1 -5 6 2 1 0 -1 0
1 -3 1 0 1 0 2 -1 0 0 -1 1 0 -5 0 3 -2 1 -1 1 -1 1 0 0 0 -2 3 1 1 0 -1 0
6 -11 3 0 2 4 5 -7 -3 1 -5 6 4 -14 3 12 -8 3 -3 2 -2 2 -5 -1 -2 -9 10 4 2 1 -2 1
5 -9 2 0 1 4 3 -6 -3 1 -4 5 4 -10 3 9 -6 2 -2 1 -1 1 -5 -1 -2 -7 8 4 1 1 -1 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 0 0 0 0 0 0 0
0 -2 0 0 0 0 1 0 0 0 -1 1 0 -2 0 1 -1 1 -1 0 -1 1 0 0 0 -1 2 1 0 0 0 0
0 2 0 0 0 0 0 0 1 0 0 -1 -1 1 0 -1 1 0 1 -1 0 0 0 0 0 1 -1 -1 0 -1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 -1 0 0 -1 0 0 0 0 0 0 0 0 0
0 1 -1 0 -1 -1 -1 1 1 0 0 -1 -1 2 -1 -2 1 1 0 -1 0 0 0 -1 0 2 0 0 0 0 1 0
4 -6 2 0 0 5 2 -7 -2 1 -2 4 4 -7 4 8 -5 0 -1 1 0 0 -6 0 -2 -6 6 2 0 1 -1 0
9 -15 4 -2 2 7 5 -10 -5 2 -7 8 7 -17 6 15 -10 3 -2 1 -2 1 -9 -1 -3 -11 14 6 2 2 -1 1
4 -5 3 0 0 6 3 -9 -2 1 -1 4 5 -8 5 9 -5 0 -1 1 0 0 -7 1 -2 -7 6 1 0 0 -2 0
2 -4 0 1 -1 2 0 -4 -1 1 -1 3 2 -3 1 4 -3 1 -2 1 0 1 -3 -1 -1 -2 3 2 0 1 -1 1
0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
-6 10 -4 2 -2 -5 -4 7 3 -1 4 -5 -5 12 -4 -10 7 -2 2 -1 1 0 6 0 2 8 -10 -3 -1 -1 1 0
-4 6 -1 2 -1 1 -2 0 1 -1 4 -2 0 5 1 -3 3 -4 1 0 1 0 1 2 1 1 -6 -3 -1 -1 0 0
4 -6 2 0 0 5 2 -7 -2 1 -2 4 4 -7 4 8 -5 0 -1 1 0 0 -6 0 -2 -6 6 2 0 1 -1 1
4 -5 1 0 0 3 1 -6 -1 1 -2 3 3 -5 2 6 -4 1 -1 1 0 0 -5 -1 -2 -4 5 2 0 1 0 1
4 -4 2 0 0 4 2 -7 -1 1 -1 3 3 -6 3 7 -4 0 -1 1 0 0 -5 0 -2 -5 5 1 0 0 -1 1
1 -2 1 0 0 3 1 -3 -1 0 0 1 2 -3 3 3 -2 -1 0 0 0 0 -3 1 0 -3 2 0 0 0 0 0
2 -1 0 1 -2 2 0 -4 0 1 0 1 1 -1 1 2 -1 1 -1 0 0 0 -3 0 -1 -1 2 0 -1 0 0 1
3 -4 1 0 -1 3 1 -5 -1 1 0 3 2 -4 3 5 -3 0 -1 1 0 0 -5 0 -1 -3 4 1 0 1 -1 0
8 -12 3 0 0 6 5 -10 -4 2 -6 7 5 -14 4 13 -8 4 -3 1 -2 2 -7 -1 -3 -9 12 4 1 1 -2 2
1 -1 1 0 -1 1 0 -3 0 1 1 1 1 -1 1 2 -1 0 -1 1 0 0 -2 0 0 -1 1 0 0 0 -1 0
2 -4 1 0 1 1 3 -2 -1 0 -2 2 1 -6 1 5 -3 1 -1 1 -1 1 -1 0 -1 -4 4 2 1 0 -1 0
5 -8 3 0 1 6 3 -9 -3 1 -2 5 6 -10 5 11 -7 0 -2 2 0 0 -7 0 -2 -8 7 3 1 1 -2 0
0 -1 1 1 -1 1 0 -2 0 0 1 1 1 -1 1 2 -1 -1 -1 1 0 1 -1 0 0 -1 0 0 0 0 -1 0
0 -3 1 0 2 1 2 -1 -1 0 -1 1 1 -5 1 3 -2 0 -1 1 -1 1 0 1 0 -4 3 1 1 0 0 0
3 -4 1 0 0 2 2 -4 -1 1 -2 2 1 -5 1 4 -2 2 -1 0 -1 0 -3 0 -1 -3 5 1 0 0 0 1
4 -7 1 -1 1 1 3 -2 -2 1 -4 3 1 -8 1 6 -4 3 -1 0 -2 1 -2 -1 -1 -4 7 3 1 1 0 1
-3 3 0 0 1 -1 0 2 1 -1 2 -2 -1 2 0 -3 2 -2 1 0 0 0 2 1 1 1 -3 -1 0 -1 0 -1
32
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
7 -8 3 0 -1 7 3 -11 -3 2 -3 6 6 -10 5 12 -7 2 -2 1 0 0 -9 0 -3 -8 9 2 0 1 -2 1
1 -2 2 0 0 2 2 -3 -1 0 0 2 1 -4 2 4 -2 0 0 1 0 0 -2 1 0 -3 2 0 0 0 -2 0
1 -1 1 0 0 0 1 -1 -1 0 0 1 0 -2 1 2 -1 1 0 0 0 0 -1 0 0 -1 1 0 0 0 -1 0
0 0 0 0 0 0 0 1 -1 0 -1 0 0 0 0 0 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0
2 -2 1 1 -1 3 1 -5 -1 1 0 2 2 -3 2 5 -3 0 -1 1 1 0 -3 0 -1 -3 2 0 0 0 -2 0
1 -3 1 0 1 1 1 -1 -1 0 -1 2 1 -4 1 3 -2 0 -1 1 -1 1 0 0 0 -3 2 1 1 0 -1 0
4 -5 2 1 -1 5 1 -8 -2 1 -1 4 4 -6 4 8 -5 0 -1 1 1 0 -6 0 -2 -5 4 1 0 1 -2 1
0 1 0 1 -1 1 -1 -1 0 0 1 0 0 1 1 0 0 -1 0 0 1 0 -1 0 0 0 -1 -1 0 0 0 0
2 -5 3 0 2 4 3 -5 -3 0 -1 3 4 -8 4 8 -5 -1 -1 2 0 0 -3 1 -1 -7 4 1 1 0 -2 0
0 -1 -1 0 1 -2 1 3 0 0 -2 0 -2 -1 -2 -1 0 2 -1 0 -1 1 3 -1 0 0 1 1 1 0 0 0
0 0 0 0 1 -1 1 1 0 0 -1 0 -1 -1 -1 0 0 1 0 0 0 0 1 0 0 -1 1 0 0 0 0 0
5 -7 2 -1 1 4 1 -5 -3 1 -3 4 4 -7 3 7 -5 1 -1 0 0 0 -5 -1 -2 -5 6 3 1 1 0 1
-4 5 -1 0 0 -3 -1 6 1 -1 2 -3 -3 5 -2 -6 4 -1 1 -1 0 0 5 1 2 4 -5 -2 0 -1 0 -1
-5 9 -2 2 -3 -3 -3 5 3 -1 5 -4 -4 10 -2 -8 6 -2 1 -1 1 0 4 1 2 6 -8 -4 -1 -1 0 -1
0 -1 0 0 0 -1 1 1 0 0 -1 0 -1 -1 -1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0
1 -3 1 0 1 1 1 -1 -1 0 -1 1 1 -3 1 2 -1 0 0 0 0 0 -1 0 0 -2 2 1 0 0 0 0
1 0 0 1 -2 2 0 -3 0 1 0 1 1 0 1 2 -1 0 -1 0 1 0 -2 0 -1 -1 1 0 0 0 -1 0
2 -3 1 0 1 2 2 -3 -2 1 -1 2 2 -5 2 5 -3 0 -1 1 0 0 -2 0 -1 -4 3 1 1 0 -1 0
2 -2 2 1 -1 4 1 -6 -1 1 1 2 3 -4 3 6 -3 -1 -1 1 1 0 -4 1 -1 -4 2 0 0 0 -2 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 -1 0 0 0 0 0 0
0 -1 0 0 1 0 0 1 -1 0 -1 0 1 -1 0 1 -1 0 0 0 0 0 1 0 0 -1 0 1 1 0 0 0
-4 6 -2 0 0 -5 -1 8 2 -1 2 -4 -5 7 -4 -8 5 0 1 -1 0 0 6 0 2 5 -5 -2 0 -1 1 -1
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
4 -4 2 0 0 4 2 -6 -2 1 -1 3 4 -6 3 7 -4 0 -1 1 0 0 -5 0 -2 -5 5 1 0 0 -1 0
0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 -1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
3 -3 2 0 -1 4 2 -6 -1 1 0 3 3 -5 4 6 -3 0 -1 1 0 0 -5 1 -1 -4 4 0 0 0 -2 -1
0 1 0 0 1 -2 1 2 1 0 0 -1 -3 0 -2 -2 2 1 0 0 -1 0 2 0 1 1 0 -1 0 -1 0 0
3 -6 2 0 2 3 3 -4 -3 0 -3 3 3 -8 2 7 -4 1 -1 1 -1 1 -2 0 -1 -6 5 2 1 0 -1 1
1 -3 1 0 1 -1 3 0 0 0 -2 1 -1 -5 -1 3 -2 2 -1 1 -1 1 1 0 0 -3 4 1 1 0 -1 0
3 -3 1 1 -1 3 1 -4 -1 1 -1 3 1 -4 2 4 -2 1 -1 0 -1 1 -3 0 -1 -3 3 0 0 0 -1 1
-
PROPERTIES
INTEGRAL = 1
-
REFERENCES
G. Nebe, Finite quaternionic matrix groups,
Representation Theory 2, 106-223 (April 1998)
-
NOTES
-
URL (links to other sites for this lattice)
All the quaternionic matrix groups
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe