The Lattice A9*
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 13:10:48 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIM
GRAM
MINIMAL_NORM
DET
DIVISORS
PROPERTIES
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
NOTES
REFERENCES
LAST_LINE
-
NAME
A9*
-
DIM
9
-
GRAM
9 9
9 -1 -1 -1 -1 -1 -1 -1 -1
-1 9 -1 -1 -1 -1 -1 -1 -1
-1 -1 9 -1 -1 -1 -1 -1 -1
-1 -1 -1 9 -1 -1 -1 -1 -1
-1 -1 -1 -1 9 -1 -1 -1 -1
-1 -1 -1 -1 -1 9 -1 -1 -1
-1 -1 -1 -1 -1 -1 9 -1 -1
-1 -1 -1 -1 -1 -1 -1 9 -1
-1 -1 -1 -1 -1 -1 -1 -1 9
-
MINIMAL_NORM
9
-
DET
100000000
-
DIVISORS
1 10 10 10 10 10 10 10 10
-
PROPERTIES
INTEGRAL=1
-
KISSING_NUMBER
20
-
GROUP_ORDER
7257600
-
GROUP_NAME
C2 x S10
-
GROUP_GENERATORS
2
9
0 1 0 0 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 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1
9
-1 0 0 0 0 0 0 0 0
0 0 -1 0 0 0 0 0 0
0 0 0 -1 0 0 0 0 0
0 0 0 0 -1 0 0 0 0
0 0 0 0 0 -1 0 0 0
0 0 0 0 0 0 -1 0 0
0 0 0 0 0 0 0 -1 0
0 0 0 0 0 0 0 0 -1
1 1 1 1 1 1 1 1 1
-
NOTES
Dual to A9
-
REFERENCES
SPLAG p. 114
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe