The Lattice A9_105
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 13:10:04 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
GROUP_GENERATORS
NOTES
LAST_LINE
-
NAME
A9_105
-
DIMENSION
105
-
GRAM
105 105
24 -10 -10 -3 -10 4 -4 -3 10 3 -3 -3 -10 -4 -3 3 10 4 -3 -4 -3 -1 -1 -1 -1 0 3 -1 -1 1 1 -1 -1 0 1 0 0 -1 3 -4 0 -7 3 0 -4 6 -9 -3 1 0 -7 0 -7 10 -10 10 -10 10 -4 -11 -10 -6 8 -6 1 -1 0 -4 0 10 0 10 4 -9 -10 2 -2 10 -1 -6 7 0 8 6 0 3 0 0 -7 6 -1 0 10 -3 3 0 0 6 -8 -6 9 -7 10 -9 -2
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4 6 1 5 -1 -4 0 -1 0 0 0 3 1 2 0 1 2 0 -4 0 -2 -1 -2 -1 0 -1 -1 0 0 1 -4 -1 0 0 0 0 0 -2 0 -1 0 0 0 -1 0 0 1 1 1 0 0 0 -1 -1 0 -1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 -2 1 -3 2 1 1 1 -1 2 0 0 1 -2 2 0 0 1 1 -1 -3 -4 0 1 -1 2 -5 2 -1 -1 -5 0 0 0 0 -1 0 1 0 0 2 -2 1 -1 -1 -1 0 0 1 1 -1 1 -1 1 -1 1 0 0 0 -1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 0 6 1 1 -1 1 0 0 4 0 2 2 0 1 -2 -1 0 1 -1 2 3 0 1 -2 3 -1 3 -2 0 -2 -1 -1 -1 -1 -2 -1 0 -1 0 1 -1 1 0 -1 -1 2 0 1 1 -1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 -1 1 -1 1 -1 -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 0 0 0 0
12 2 9 -1 5 -5 -3 1 -2 4 1 6 3 0 0 -3 0 1 -4 -1 0 5 0 -3 -1 2 0 2 1 0 0 -2 -1 -1 0 -1 0 -1 0 -1 -1 2 0 1 1 -2 3 2 1 1 0 0 1 0 0 0 1 1 1 1 -1 0 0 0 0 1 0 0 0 0 0 0 -1 1 -1 -1 1 0 1 -1 0 -1 1 -1 1 0 -1 0 0 -1 -1 1 1 1 -1 0 0 0 0 0 0 0 0 0 0
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5 5 2 3 -1 -1 2 -1 0 -2 0 1 0 3 -1 0 0 -3 2 3 0 -1 1 1 -4 3 -4 4 -1 0 -2 0 -1 0 0 -1 0 0 0 -1 0 -1 0 0 0 0 0 1 0 0 0 -2 0 0 0 0 0 0 0 -1 0 1 0 0 0 -1 0 1 1 0 -1 1 -1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-5 1 -5 1 -1 2 3 -1 1 -2 -1 -3 -2 2 1 1 -1 -1 1 1 -1 -4 -3 3 0 -2 -1 0 -1 0 0 3 1 1 1 2 0 1 0 0 0 -1 -1 0 -1 1 -2 -1 -1 0 0 0 -1 0 0 0 -1 -1 -1 -1 1 0 0 0 0 -1 0 0 0 0 0 0 1 -1 0 1 0 1 -1 1 0 1 -1 1 -1 0 1 0 0 0 1 -1 -1 0 0 0 0 0 0 0 0 0 1 0 -1
9 7 1 5 0 -6 -3 -2 0 -4 0 5 0 3 -3 -2 1 -1 -3 2 3 7 2 -3 0 -1 5 -1 2 0 4 -2 -2 0 0 -1 0 -2 0 -1 -2 4 -1 1 2 -1 1 1 0 0 1 0 1 0 1 -1 1 1 0 1 -1 1 -1 0 -1 1 0 0 0 0 -1 0 0 0 1 0 0 0 1 0 1 -1 1 -1 1 1 0 -1 0 0 -1 0 0 0 0 -1 0 0 0 0 0 0 0 -1 1
2 1 5 1 0 -2 2 0 0 8 1 2 2 -1 2 -1 -1 1 -2 -1 -4 -3 -2 0 -1 2 -4 2 0 0 -3 1 1 0 1 0 0 0 1 0 1 -1 1 -1 -2 0 0 0 1 1 0 0 0 0 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 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 0 0 0 0 0
-3 -2 -1 -4 2 1 -2 1 -1 0 0 -1 0 -3 0 1 0 1 -1 -1 0 0 0 0 2 -1 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0
-1 0 2 0 -1 -1 1 0 0 5 0 1 0 -2 1 -1 -1 1 -1 -1 -1 -2 -1 0 1 1 -1 -1 0 -1 -2 0 1 0 1 0 0 0 1 0 1 -1 1 -1 -1 0 0 -1 0 1 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 0 -1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0
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NOTES
Constructed by Richard Parker (richard@ukonline.co.uk)
from a representation of A9.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe