The Lattice SL2(5)D10(SL2(3)C3).2.2
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 13:14:14 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
SL2(5)D10(SL2(3)C3).2.2
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DIMENSION
32
-
GRAM (floating point or integer Gram matrix)
32 0
12
6 12
1 0 12
6 3 4 12
6 2 3 4 12
6 3 2 6 2 12
4 1 3 4 6 6 12
2 1 6 6 6 2 6 12
2 3 3 4 3 4 6 6 12
3 2 6 3 6 3 6 6 3 12
3 6 2 6 1 6 2 2 6 1 12
6 6 4 6 4 3 2 3 3 4 6 12
6 3 1 3 3 6 4 2 2 4 3 3 12
6 6 1 3 2 6 2 0 2 1 6 6 0 12
-1 1 3 0 -3 2 0 0 0 3 2 1 2 3 12
3 3 1 6 2 6 3 3 4 1 6 3 0 6 1 12
2 3 3 1 3 3 6 3 6 3 2 3 2 2 0 2 12
4 2 6 3 6 3 6 3 0 3 0 3 1 3 0 1 6 12
3 3 1 3 2 3 1 1 2 1 6 6 3 6 3 3 0 0 12
3 6 2 3 1 6 3 2 4 1 6 6 3 6 2 6 6 3 3 12
3 3 1 3 1 6 2 1 1 3 3 0 6 3 4 3 -1 0 6 0 12
2 2 0 2 3 4 6 3 3 6 2 1 4 2 6 3 0 0 4 1 6 12
3 4 6 3 3 3 3 3 3 6 2 2 2 2 3 2 3 6 -1 2 3 3 12
2 1 6 1 3 1 0 0 0 3 2 2 3 2 6 1 0 3 2 1 3 3 6 12
0 -1 3 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 1 -1 2 0 0 3 12
0 -1 2 1 0 1 1 1 1 0 1 -2 3 -2 2 1 0 1 0 0 2 -1 0 1 0 12
3 3 4 3 2 3 1 1 2 3 6 6 6 3 3 3 1 1 6 3 6 3 3 6 2 2 12
1 -1 3 2 3 1 0 3 3 3 2 1 0 2 3 2 -3 -3 3 -1 3 3 0 3 6 1 2 12
-1 0 0 -1 -3 1 0 0 0 3 0 -1 3 -1 6 -3 0 -3 1 0 3 3 0 0 3 3 0 3 12
1 -1 0 0 1 0 0 0 -2 1 1 0 3 0 1 0 1 3 1 -2 2 -1 2 0 -1 6 3 -2 3 12
2 1 1 -1 -1 0 0 -1 0 0 0 -1 1 0 1 -2 4 2 0 -2 1 -2 0 0 0 3 0 -3 3 6 12
2 4 6 3 3 2 3 6 6 6 3 4 1 3 3 3 6 3 2 4 2 3 6 3 3 -2 3 3 0 -1 1 12
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DIVISORS (elementary divisors)
1^16 6^8 30^8
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MINIMAL_NORM
12
-
KISSING_NUMBER
10560
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GROUP_ORDER
2^8 * 3^3 * 5^2
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GROUP_GENERATORS
4
32
-2 -4 -1 -1 2 -3 -2 0 -1 -1 3 3 4 3 0 2 0 2 -2 -2 1 1 3 -3 1 2 -1 -1 1 -5 2 0
-1 0 0 1 1 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 -2 0 -3 0 -1 1 0 1 1 0 1 1 -3 0 0 3 0 -1 -1 1 -1 2 -1 1 0 1 1 -1 0 1
-1 -3 -1 -1 2 -2 -1 0 -1 -1 2 2 3 2 1 2 0 1 -1 -2 0 0 3 -3 1 2 0 -1 1 -4 1 0
-2 -4 2 -1 8 -3 1 -1 -3 -4 3 3 4 3 5 2 0 -5 -2 -2 1 -1 6 -7 3 2 -1 -4 0 -5 2 0
-2 -3 -1 0 1 -2 -1 0 -1 -1 1 2 3 3 -1 1 0 1 -1 -1 0 1 3 -2 0 2 0 0 1 -4 2 0
-2 -3 0 0 4 -2 0 0 -2 -2 1 2 3 3 2 1 0 -2 -1 -1 0 0 4 -4 2 2 0 -2 0 -4 2 0
-1 -3 0 -1 3 -2 0 0 -2 -2 2 2 3 2 1 2 0 -1 -1 -2 0 0 3 -3 1 2 0 -2 1 -4 1 1
0 -2 -2 0 -3 -1 -1 1 0 1 1 1 0 1 -3 0 0 3 -1 0 1 1 -1 2 -1 1 0 1 1 -1 0 1
-1 0 -2 1 -3 0 -1 1 0 1 0 0 1 1 -3 0 0 3 0 -1 -1 1 -1 2 -1 1 0 1 1 -1 0 1
0 -2 -3 0 -3 -1 -2 1 1 2 1 1 0 1 -3 0 0 4 -1 0 1 1 -1 2 -1 1 0 1 1 -1 0 0
0 -2 -1 0 -1 -2 -1 0 0 1 2 1 1 1 -1 0 0 2 -1 0 1 1 0 0 0 1 -1 0 0 -1 0 0
-1 -2 -1 0 0 -2 -1 0 0 0 1 1 2 2 -1 1 0 2 -1 -1 0 1 1 -1 0 1 0 0 1 -3 1 0
-1 -2 -1 0 0 -1 -1 0 0 0 1 2 1 1 -1 0 0 1 -1 0 1 1 1 0 0 1 -1 0 0 -1 1 0
1 2 -2 1 -6 2 -1 1 2 3 -2 -1 -2 -2 -4 -1 0 4 1 1 -1 1 -4 5 -2 -1 0 3 0 3 -1 0
-1 -1 0 0 1 0 0 0 -1 -1 0 1 1 1 0 0 1 -1 0 -1 0 0 2 -1 0 1 0 0 0 -1 0 0
-1 -2 0 0 2 -1 0 0 -1 -1 1 1 1 1 1 0 0 -1 0 0 0 0 2 -2 1 1 0 -1 0 -2 1 0
-2 -2 2 0 7 -1 1 -1 -2 -3 1 1 3 2 5 1 0 -5 0 -1 -1 -1 5 -6 3 1 0 -3 -1 -3 2 -1
1 -2 -2 0 -2 -2 -1 0 2 2 1 1 0 0 -1 0 -1 3 -1 1 2 0 -1 1 0 0 -1 0 0 0 0 0
-1 -2 -1 0 1 -1 0 0 -1 0 1 1 1 1 0 0 0 0 0 0 0 0 2 -1 0 1 0 0 0 -2 1 0
0 0 0 1 0 0 0 -1 1 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 1 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
-1 1 0 1 0 2 0 0 0 0 -1 -1 0 0 0 0 0 0 1 -1 -2 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 0 0 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0
1 -2 0 -1 2 -1 0 0 -1 -1 2 1 0 0 1 0 0 -1 -1 0 1 0 2 -2 1 1 0 -1 0 -2 1 0
0 0 -2 0 -3 0 0 1 0 1 0 0 0 0 -2 0 1 2 0 0 0 0 -1 2 -1 0 0 2 0 0 0 0
1 0 -1 1 -3 0 -1 0 1 2 0 -1 -1 0 -2 -1 1 2 0 0 0 1 -2 2 -1 0 0 1 0 1 -1 0
1 -2 -2 -1 -3 -1 -1 1 0 1 2 2 0 0 -3 0 0 3 -2 0 2 1 -1 2 -1 1 -1 1 1 -1 0 1
1 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 2 0 0 0 0 -1 0 0 0 0 2 0 1 -2 0 0 0 0 1 -2 1 0 0 -1 -1 0 0 -1
0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 -1 -2 0 -3 0 -1 1 0 1 1 1 0 0 -3 0 0 3 0 -1 0 1 -1 2 -1 1 0 1 1 -1 0 1
32
-2 -1 3 0 7 -1 2 -2 -2 -4 0 2 2 2 4 1 0 -6 -1 -1 0 -1 4 -5 2 1 0 -3 0 -2 1 0
-1 1 1 0 2 1 1 -1 0 -1 -1 0 0 0 1 1 -1 -1 0 -1 -1 -1 0 -1 0 0 1 -1 1 0 0 1
0 0 1 0 1 0 1 0 -1 -1 0 0 0 0 0 0 0 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0
-1 -1 2 -1 4 -1 1 -1 -2 -3 1 2 2 1 2 1 0 -3 -1 -1 0 0 3 -4 1 1 0 -1 0 -2 1 0
0 0 3 0 5 0 2 -2 -1 -3 0 0 0 0 3 0 0 -5 0 0 0 -1 2 -3 1 0 0 -2 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 2 0 2 0 1 -1 -1 -2 0 0 0 0 1 0 0 -2 0 0 0 0 1 -2 0 0 0 0 0 0 0 0
0 0 -1 0 -2 0 -1 0 1 1 0 0 0 0 -2 0 -1 3 0 0 0 1 -2 1 -1 0 0 1 1 0 0 1
0 0 3 0 5 0 2 -1 -2 -3 0 0 0 0 3 0 0 -5 0 0 0 -1 2 -3 1 0 0 -2 0 0 0 0
0 0 -1 0 -2 0 -1 0 1 1 0 0 0 0 -2 0 -1 3 -1 0 0 1 -2 1 -1 0 1 1 1 0 0 1
-2 -2 2 -1 7 -1 1 -1 -2 -4 1 2 3 2 4 2 -1 -4 -1 -2 -1 -1 5 -6 2 1 1 -3 1 -4 2 0
0 -3 2 -1 5 -2 1 -1 -2 -3 2 3 1 1 3 1 0 -4 -2 0 2 0 3 -4 2 1 -1 -3 0 -2 1 0
-1 2 1 1 1 1 1 -1 1 0 -2 -1 0 0 1 0 -1 -1 0 0 -1 -1 -1 0 0 -1 1 0 0 1 0 0
0 0 1 0 0 0 1 0 -1 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 -1 0 0 0 0 1 0 0 1 0 0 0 0 -1 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0
0 0 -2 0 -3 0 0 1 1 1 0 0 0 0 -2 0 -1 3 0 0 0 0 -2 2 -1 0 0 1 1 0 0 1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
-1 -3 1 -1 4 -3 0 -1 -1 -2 2 2 3 2 2 2 -1 -1 -2 -1 1 0 3 -4 1 1 0 -2 1 -4 2 0
0 1 0 0 0 1 1 0 1 0 -1 0 -1 -1 1 0 -1 0 0 0 0 -1 -1 0 0 -1 1 0 0 1 0 0
0 -2 2 -1 4 -2 1 -1 -2 -2 2 2 1 1 2 1 0 -3 -2 0 2 0 2 -3 1 1 -1 -2 0 -2 1 0
0 0 2 0 2 0 1 -1 -1 -1 0 0 0 0 1 0 0 -2 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0
0 0 4 0 7 0 3 -2 -2 -3 0 0 0 0 5 0 0 -7 0 0 0 -2 3 -5 2 0 0 -3 -1 0 0 0
0 0 4 0 6 0 3 -2 -2 -3 0 0 0 0 4 0 0 -7 0 0 0 -1 3 -4 2 0 0 -3 -1 0 0 0
0 0 -1 0 -1 0 1 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 0 0 1
0 -2 -2 -1 -2 -1 -1 1 0 1 1 2 0 0 -2 0 0 2 -1 1 2 1 0 1 0 1 -1 1 0 -1 1 0
-1 -3 2 -1 6 -2 1 -1 -2 -3 2 2 2 2 3 1 -1 -4 -2 0 1 0 4 -5 2 1 0 -3 0 -3 2 0
0 0 1 0 2 0 1 -1 -1 -1 0 0 0 0 1 0 0 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0
0 0 1 0 1 0 1 0 -2 -1 0 0 0 0 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0
0 -3 0 -1 2 -2 0 0 -1 -1 2 2 1 1 1 0 0 -1 -2 1 2 0 2 -2 1 1 -1 -1 0 -2 1 0
-1 -1 -2 0 -3 -1 -1 1 0 1 1 1 1 1 -3 0 0 3 -1 0 1 1 -1 2 -1 1 -1 1 1 -1 0 1
0 0 2 0 3 0 2 -1 -1 -2 0 0 0 0 2 0 -1 -3 0 0 0 -1 1 -2 0 0 0 -1 0 0 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
1 1 -2 1 -5 0 -1 1 1 2 0 -1 -1 0 -4 -1 0 4 0 0 0 1 -3 4 -2 0 0 2 1 1 -1 1
-2 -1 0 0 2 -1 1 0 -2 -2 0 1 2 2 0 1 0 -1 0 -1 -1 0 3 -2 0 1 1 0 1 -3 2 0
-1 -1 0 0 2 -1 0 0 -1 -1 0 1 2 2 1 1 0 -1 0 -1 -1 0 2 -2 1 1 0 -1 0 -2 1 0
0 -1 0 0 2 -1 1 -1 0 -1 0 1 1 0 2 1 -1 -1 0 0 0 -1 2 -2 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0
-1 -3 -1 -1 2 -2 -1 0 -1 -1 2 2 3 2 1 2 -1 1 -1 -1 0 0 3 -3 1 1 0 -1 1 -4 2 0
-1 -3 -1 -1 2 -3 0 0 -1 -1 2 2 3 2 1 2 -1 1 -1 -1 0 0 3 -3 1 1 0 -1 1 -4 2 0
0 -2 -2 -1 -2 -2 -1 1 0 1 2 2 1 1 -2 1 -1 3 -1 0 1 1 0 1 0 1 -1 0 1 -2 1 0
-1 -3 -1 -1 2 -3 0 0 -1 -1 2 2 3 2 1 2 -1 1 -1 -1 1 -1 3 -3 1 1 0 -1 1 -4 2 0
0 2 -4 1 -9 1 -2 2 2 4 -1 -1 -1 0 -7 -1 0 7 1 0 -1 2 -5 7 -3 0 0 4 1 2 -1 1
0 1 0 1 0 0 0 0 0 0 -1 -1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 0 0 0 0
0 -1 2 0 5 -1 1 -1 -1 -2 1 0 1 1 4 0 0 -4 0 0 0 -1 3 -4 2 0 0 -2 -1 -1 1 -1
1 3 -2 1 -7 2 -1 1 2 3 -2 -2 -2 -1 -5 -1 0 5 1 0 -1 1 -5 6 -3 -1 1 3 1 3 -2 1
0 2 1 1 -1 1 1 0 -1 0 -1 -2 -1 0 -1 -1 1 -1 1 0 -1 0 -1 1 -1 -1 1 1 0 2 -1 0
1 0 -2 0 -5 0 -1 1 1 2 0 0 -1 0 -4 0 0 4 0 0 0 1 -3 4 -2 0 0 2 1 1 -1 1
0 -1 -1 0 0 -1 0 0 0 0 1 1 0 0 0 0 -1 1 -1 1 1 0 0 0 0 0 0 0 0 -1 1 0
-1 0 1 1 2 0 1 -1 -1 -2 -1 0 1 1 1 0 0 -2 0 0 -1 0 2 -2 0 0 1 0 0 -1 1 0
0 3 0 1 -2 2 0 0 1 1 -2 -2 -1 -1 -1 0 0 1 2 -1 -2 0 -2 2 -1 -1 1 1 0 2 -1 0
1 2 0 1 -2 1 0 0 1 1 -1 -2 -2 -1 -1 -1 0 1 1 1 -1 0 -2 2 -1 -1 1 1 0 2 -1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 -1 0 -1 -1 -1 0 0 1 1 0 1 1 -1 1 0 2 0 -1 0 0 0 0 0 0 0 0 1 -1 0 0
0 -2 -2 0 -3 -2 -1 1 0 1 1 1 1 2 -3 0 0 3 -1 0 1 1 0 1 -1 1 0 1 1 -2 1 0
0 1 0 1 -1 1 1 0 -1 0 -1 -1 -1 0 -1 -1 1 -1 1 0 -1 0 0 1 -1 0 1 1 0 1 0 0
-1 -1 -1 -1 0 0 -1 1 -1 -1 1 2 1 1 -1 1 1 1 -1 -2 0 1 1 0 0 1 0 0 1 -2 1 0
-1 0 3 0 4 0 2 -1 -2 -3 0 0 1 1 2 0 0 -5 0 0 -1 0 3 -3 1 0 0 -1 -1 0 1 0
0 1 -2 1 -4 1 -1 1 1 2 -1 -1 -1 0 -3 -1 0 3 1 0 -1 1 -2 3 -1 0 1 2 0 1 0 0
0 0 -1 -1 -1 0 0 1 0 0 0 1 0 0 -1 1 0 1 0 -1 0 0 0 1 0 0 0 0 1 0 0 0
0 1 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 -1 0 0 -1 0 0 0 1 0 0
0 1 0 1 -3 0 0 0 1 1 -1 -1 0 0 -2 -1 0 1 0 1 0 1 -2 2 -1 -1 0 2 -1 2 0 0
0 2 0 1 -2 1 1 0 0 1 -1 -1 -1 -1 -1 -1 0 0 0 1 0 0 -2 2 -1 -1 0 2 -1 2 0 0
0 -2 -2 -1 -1 -2 0 1 -1 0 2 2 1 1 -1 1 0 2 -1 -1 1 0 1 0 0 1 0 0 1 -3 1 0
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
-1 -3 4 -1 11 -2 2 -2 -3 -5 2 2 3 2 8 2 0 -8 -1 -1 0 -2 7 -9 4 1 0 -5 -1 -4 2 -1
1 0 0 0 -1 0 0 0 1 1 0 0 -1 -1 0 -1 -1 0 0 2 1 0 -1 1 0 0 -1 0 -1 1 0 0
0 -1 -2 0 -3 -1 -1 1 0 1 1 1 1 1 -3 0 0 3 -1 0 1 1 -1 2 -1 1 -1 1 1 -1 0 1
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 0 0 0 0 0 0 0
1 -1 0 0 0 -2 0 0 0 0 1 1 0 0 0 0 0 0 -1 1 2 0 0 0 0 0 -1 0 0 0 0 0
1 -1 -1 0 -2 -2 0 0 1 1 1 1 0 0 -1 0 -1 2 -1 1 2 0 -1 1 0 0 -1 0 0 0 0 0
0 -1 0 0 -1 -1 -1 0 0 0 1 1 1 1 -1 0 0 1 -1 0 1 1 0 0 0 1 -1 0 0 -1 0 0
-1 -4 -2 -2 1 -3 -1 1 -1 -1 3 4 3 2 0 2 -1 2 -2 -1 2 0 3 -2 1 2 -1 -1 1 -5 2 0
1 -1 -1 0 -2 -1 -1 0 1 2 1 0 0 0 -1 0 -1 2 0 1 1 0 -1 1 0 0 -1 0 0 0 0 0
-1 -4 2 -2 8 -3 1 -1 -3 -4 3 4 3 2 5 2 0 -5 -2 -1 2 -1 6 -7 3 2 -1 -4 0 -5 2 0
0 -2 0 -1 2 -1 0 0 -1 -1 2 2 1 1 1 0 0 -1 -1 0 1 0 2 -2 1 1 -1 -1 0 -2 1 0
1 -1 2 0 4 -1 1 -1 -1 -2 1 0 0 0 3 0 0 -3 0 0 1 -1 2 -3 1 0 0 -2 0 -1 0 0
0 -1 2 -1 5 -1 1 -1 -1 -2 1 2 1 0 4 1 0 -4 -1 0 1 -1 3 -4 2 0 -1 -2 -1 -1 1 -1
0 0 1 0 2 0 0 -1 1 0 0 0 0 -1 2 0 -1 -1 0 1 1 -1 0 -1 1 -1 -1 -1 -1 1 0 0
0 -2 0 -1 2 -2 0 0 -1 -1 2 2 1 1 1 1 0 -1 -2 0 2 0 2 -2 1 1 -1 -1 0 -2 1 0
0 -1 -1 0 0 -1 0 0 0 0 1 1 0 0 0 0 -1 1 -1 1 1 0 0 0 0 0 0 0 0 -1 1 0
1 1 1 1 0 0 1 -1 1 0 -1 -1 -1 -1 1 -1 -1 -1 0 2 0 0 -1 0 0 -1 0 0 -1 2 0 0
0 -3 2 -2 6 -2 1 -1 -2 -3 3 3 2 1 4 1 0 -4 -2 -1 2 -1 4 -5 2 1 -1 -3 0 -3 1 0
0 -1 2 0 5 -1 1 -1 -1 -2 1 1 0 0 4 0 0 -4 -1 1 1 -1 3 -4 2 0 0 -2 -1 -1 1 -1
1 -2 2 -1 4 -2 1 -1 -1 -2 2 1 1 0 3 1 0 -3 -1 0 2 -1 2 -3 1 0 -1 -2 0 -1 0 0
1 -2 -1 -1 0 -2 -1 0 1 1 2 1 1 0 1 1 -1 2 -1 0 2 -1 0 -1 1 0 -1 -1 0 -1 0 0
0 -1 0 0 2 -1 0 -1 1 0 0 0 1 0 2 1 -2 0 0 1 0 -1 1 -2 1 0 0 -1 0 -1 1 0
1 1 1 0 2 1 1 -1 1 0 -1 -1 -1 -2 3 0 -1 -2 1 1 0 -2 0 -1 1 -1 0 -1 -1 1 0 0
2 2 0 0 -1 2 1 0 1 1 -1 -1 -3 -3 1 -1 0 -1 1 1 0 -1 -2 2 0 -1 0 0 -1 3 -2 0
0 0 3 0 3 0 2 -1 -2 -3 0 0 0 0 1 0 0 -4 0 0 0 0 2 -2 0 0 0 -1 0 0 0 1
1 -3 2 -2 6 -2 1 -1 -2 -3 3 2 1 0 4 1 0 -4 -1 0 2 -1 4 -5 2 1 -1 -3 0 -3 1 0
1 0 -1 -1 -2 1 -1 1 1 1 0 1 -1 -1 -1 0 0 1 0 0 1 0 -1 2 0 0 -1 0 0 1 -1 0
0 1 1 1 1 1 1 -1 0 0 -1 -1 -1 -1 1 -1 0 -2 1 1 0 -1 0 0 0 -1 0 0 -1 2 -1 0
0 0 3 0 4 0 2 -2 -2 -3 0 0 0 0 2 0 0 -4 0 0 0 0 2 -3 0 0 0 -1 0 0 0 1
0 0 1 0 1 0 1 -1 -1 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 1
0 -2 -1 -1 1 -1 -1 0 0 0 2 2 1 0 1 1 -1 1 -1 0 1 0 1 -1 1 1 -1 -1 0 -2 1 0
-
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
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe