The Lattice M23d3
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 May 17 15:11:59 CEST 2019
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
GROUP_NAME
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
M23d3
-
DIMENSION
23
-
DET
2* 3^22
-
MINIMAL_NORM
10
-
KISSING_NUMBER
22356
-
GRAM
23 23
12 3 -6 -6 -3 3 -3 -3 3 -6 -3 -6 6 6 -3 -3 3 -3 -6 -3 -6 -3 -3
3 12 -6 -3 3 -3 -3 -3 3 0 3 -3 6 6 -6 3 3 3 -6 -6 0 -3 -6
-6 -6 12 3 -3 -3 6 0 0 0 3 6 -6 -3 3 -3 0 3 6 6 6 6 0
-6 -3 3 10 -1 -4 1 -1 1 6 1 4 -3 -1 -1 4 -5 -2 2 5 0 4 1
-3 3 -3 -1 10 1 -4 4 -1 3 -1 2 3 -2 -2 2 -1 2 -2 -2 0 -1 2
3 -3 -3 -4 1 10 -4 1 -4 0 -4 -4 0 -2 4 -4 -1 -4 1 -2 -3 -4 5
-3 -3 6 1 -4 -4 10 -1 -2 0 4 4 -6 -1 2 -2 1 4 2 2 6 4 1
-3 -3 0 -1 4 1 -1 10 -4 0 -4 2 -3 -5 4 -1 2 2 1 -2 0 2 2
3 3 0 1 -1 -4 -2 -4 10 -3 1 1 3 5 -4 1 1 -2 -1 2 0 1 -5
-6 0 0 6 3 0 0 0 -3 12 3 3 0 -3 0 3 -6 0 0 0 3 3 3
-3 3 3 1 -1 -4 4 -4 1 3 10 4 0 -1 -1 1 -2 4 2 2 6 1 -2
-6 -3 6 4 2 -4 4 2 1 3 4 10 -3 -4 2 1 -2 4 2 5 6 4 1
6 6 -6 -3 3 0 -6 -3 3 0 0 -3 12 3 -6 3 0 0 -6 -3 -3 -3 -3
6 6 -3 -1 -2 -2 -1 -5 5 -3 -1 -4 3 10 -5 -1 2 -1 -5 -2 -3 -1 -4
-3 -6 3 -1 -2 4 2 4 -4 0 -1 2 -6 -5 10 -4 -1 -1 4 1 3 -1 5
-3 3 -3 4 2 -4 -2 -1 1 3 1 1 3 -1 -4 10 -2 1 -1 -1 0 -2 -2
3 3 0 -5 -1 -1 1 2 1 -6 -2 -2 0 2 -1 -2 10 4 -1 -4 0 1 -5
-3 3 3 -2 2 -4 4 2 -2 0 4 4 0 -1 -1 1 4 10 -1 -1 6 1 -2
-6 -6 6 2 -2 1 2 1 -1 0 2 2 -6 -5 4 -1 -1 -1 10 4 3 2 2
-3 -6 6 5 -2 -2 2 -2 2 0 2 5 -3 -2 1 -1 -4 -1 4 10 0 2 2
-6 0 6 0 0 -3 6 0 0 3 6 6 -3 -3 3 0 0 6 3 0 12 3 0
-3 -3 6 4 -1 -4 4 2 1 3 1 4 -3 -1 -1 -2 1 1 2 2 3 10 -2
-3 -6 0 1 2 5 1 2 -5 3 -2 1 -3 -4 5 -2 -5 -2 2 2 0 -2 10
-
GROUP_ORDER
991533312000 = 2^11 3^7 5^3 7 11 23
-
GROUP_NAME
2.Co3
-
PROPERTIES
INTEGRAL =1
-
NOTES
Partial dual of M23
-
REFERENCES
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe