The Lattice F4 x A5
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 13:23:10 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
F4 x A5
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DIMENSION
20
-
GRAM
20
4 0 -2 -2 2 0 -1 -1 2 0 -1 -1 2 0 -1
-1 2 0 -1 -1
0 4 2 2 0 2 1 1 0 2 1 1 0 2 1
1 0 2 1 1
-2 2 4 2 -1 1 2 1 -1 1 2 1 -1 1 2
1 -1 1 2 1
-2 2 2 4 -1 1 1 2 -1 1 1 2 -1 1 1
2 -1 1 1 2
2 0 -1 -1 4 0 -2 -2 2 0 -1 -1 2 0 -1
-1 2 0 -1 -1
0 2 1 1 0 4 2 2 0 2 1 1 0 2 1
1 0 2 1 1
-1 1 2 1 -2 2 4 2 -1 1 2 1 -1 1 2
1 -1 1 2 1
-1 1 1 2 -2 2 2 4 -1 1 1 2 -1 1 1
2 -1 1 1 2
2 0 -1 -1 2 0 -1 -1 4 0 -2 -2 2 0 -1
-1 2 0 -1 -1
0 2 1 1 0 2 1 1 0 4 2 2 0 2 1
1 0 2 1 1
-1 1 2 1 -1 1 2 1 -2 2 4 2 -1 1 2
1 -1 1 2 1
-1 1 1 2 -1 1 1 2 -2 2 2 4 -1 1 1
2 -1 1 1 2
2 0 -1 -1 2 0 -1 -1 2 0 -1 -1 4 0 -2
-2 2 0 -1 -1
0 2 1 1 0 2 1 1 0 2 1 1 0 4 2
2 0 2 1 1
-1 1 2 1 -1 1 2 1 -1 1 2 1 -2 2 4
2 -1 1 2 1
-1 1 1 2 -1 1 1 2 -1 1 1 2 -2 2 2
4 -1 1 1 2
2 0 -1 -1 2 0 -1 -1 2 0 -1 -1 2 0 -1
-1 4 0 -2 -2
0 2 1 1 0 2 1 1 0 2 1 1 0 2 1
1 0 4 2 2
-1 1 2 1 -1 1 2 1 -1 1 2 1 -1 1 2
1 -2 2 4 2
-1 1 1 2 -1 1 1 2 -1 1 1 2 -1 1 1
2 -2 2 2 4
-
DIVISORS
1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 6 6 12 12
-
MINIMAL_NORM
4
-
KISSING_NUMBER
360
-
GROUP_ORDER
829440
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GROUP_NAME
W(F4) x S6 = W(F4) x W(A5)
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GROUP_GENERATORS
3
20
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 -1 1 0
0 0 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 0 0 0 0 0 0 0
0 1 -1 1 0
0 0 0 0 0 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 0 0 0 1 -1
0 0 -1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
1 0 0 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1
0 1 -1 1 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0 0 0 1
0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0
0 0 -1 1 0
0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0
0 0 0 1 -1
0 0 0 0 0 0 0 0 -1 1 -1 0 0 0 0
0 1 -1 1 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 1 -1 0 0 0 0 0 0 0 0
0 0 -1 1 0
0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0
0 0 0 1 -1
0 0 0 0 -1 1 -1 0 0 0 0 0 0 0 0
0 1 -1 1 0
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1
0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 1 0
0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 -1
-1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 1 -1 1 0
20
-1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 -1
1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 0 -1
0 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 0 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 -1 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 0 0 0 0 0 0 0 0 0 0 -1 0 -1
0 1 0 1 0
0 0 0 0 0 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 0 0 1 0 0
1 -1 0 0 -1
0 0 0 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 0 -1 0 0 0 0
0 1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 -1
0 0 0 0 0 0 0 0 1 0 0 1 0 0 0
0 -1 0 0 -1
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
0 0 -1 0 0
0 0 0 0 -1 0 -1 0 0 0 0 0 0 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 -1
0 0 0 0 1 0 0 1 0 0 0 0 0 0 0
0 -1 0 0 -1
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 -1 0 0
20
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 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 -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 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 1 -1
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 -1 1 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 1
-1 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 -1 1
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 1 -1 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 -1 1 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 1 -1 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 -1 1 0 0 0 0 0 0 0 0
0 0 0 0 0
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe