The Lattice S9
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 13:19:47 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
REFERENCES
NOTES
LAST_LINE
-
NAME
S9
-
DIMENSION
27
-
GRAM
27 0
4
2 4
0 1 4
1 2 2 4
2 1 0 1 4
2 1 1 2 2 4
0 0 1 0 0 1 4
0 1 2 1 0 0 1 4
2 1 0 1 2 2 0 1 4
1 1 0 1 2 1 0 0 1 4
1 1 0 1 1 1 0 0 2 1 4
1 1 0 2 2 1 0 0 1 2 1 4
0 0 1 0 0 0 1 1 0 -1 0 0 4
1 2 0 1 2 1 0 0 1 2 1 2 0 4
0 1 2 1 0 0 2 2 0 0 0 0 1 0 4
0 0 1 0 0 0 1 2 2 0 1 0 1 0 1 4
0 0 1 0 0 0 1 1 0 1 0 0 2 0 1 1 4
2 1 0 2 1 1 0 0 1 1 1 2 0 1 0 0 0 4
1 2 2 1 0 0 1 2 0 0 0 0 1 0 2 1 1 0 4
1 2 1 2 1 1 0 2 2 1 1 1 0 1 1 1 0 1 1 4
1 1 0 2 1 1 0 0 2 1 2 2 0 1 0 1 0 2 0 1 4
1 2 0 1 1 1 0 0 2 1 2 1 0 2 0 1 0 1 0 1 2 4
2 1 0 1 1 1 0 0 1 1 2 1 0 2 0 0 0 2 0 1 1 1 4
1 0 1 0 0 0 2 1 0 0 0 0 1 0 2 1 1 1 1 0 0 0 1 4
0 0 1 0 1 0 2 1 0 2 0 1 1 1 2 1 2 0 1 0 0 0 0 2 4
1 1 0 1 1 1 0 0 1 2 2 1 1 1 0 0 2 1 0 1 1 1 2 0 1 4
0 0 1 0 0 0 2 1 1 0 1 0 1 0 2 2 1 0 1 0 1 1 0 2 2 0 4
-
DIVISORS (elementary divisors)
4*7^8
-
MINIMAL_NORM
4
-
REFERENCES
G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
-
NOTES
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe