The Lattice Q10
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 13:08:21 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
MINIMAL_NORM
DET
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
Q10
-
DIMENSION
10
-
MINIMAL_NORM
4
-
DET
1024
-
KISSING_NUMBER
260
-
GROUP_ORDER
737280 = 2^14 * 3^2 * 5
-
GROUP_NAME
2^10.S_6
-
GRAM
10 10
4 2 -2 1 0 0 2 -2 -2 -1
2 4 -1 -1 2 -2 1 -2 0 1
-2 -1 4 0 0 0 -1 2 2 2
1 -1 0 4 -2 1 -1 -1 -1 -2
0 2 0 -2 4 0 0 0 0 2
0 -2 0 1 0 4 0 2 -2 -1
2 1 -1 -1 0 0 4 0 -2 1
-2 -2 2 -1 0 2 0 4 0 1
-2 0 2 -1 0 -2 -2 0 4 1
-1 1 2 -2 2 -1 1 1 1 4
-
PROPERTIES
INTEGRAL=1
MODULAR=4
-
NOTES
-
REFERENCES
E. M. Rains and N. J. A. Sloane,
The Shadow Theory of Modular and Unimodular Lattices,
J. Number Theory, 73 (1998), pp. 359-389;
http://neilsloane.com/doc/shad.pdf or shad.ps
Conway-Sloane, On lattices equivalent to their duals, J. Number Theory,
48 (1994), 373-382, esp. p. 381;
http://neilsloane.com/doc/isodual.pdf or isodual.ps
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe