The Lattice M23d2
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 15:11:54 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
M23d2
-
DIMENSION
23
-
DET
2^22 3
-
MINIMAL_NORM
5
-
KISSING_NUMBER
552
-
GRAM
23 23
5 -1 -1 1 -1 1 -1 -1 1 -2 1 -2 1 1 -1 -2 1 1 -1 -2 -1 1 1
-1 5 1 -1 -1 -1 1 1 -1 -2 -1 -2 -1 -1 -1 0 1 -1 1 -2 -1 1 -1
-1 1 5 1 -1 -1 1 -1 1 -2 -1 -2 -1 1 -1 2 1 -1 -1 2 1 1 1
1 -1 1 5 -1 1 1 -1 -1 -2 -1 -2 1 -1 1 -2 1 1 -1 0 -1 -1 1
-1 -1 -1 -1 5 -1 -1 1 -1 0 -1 2 -1 -1 -1 2 -1 1 1 2 -1 1 1
1 -1 -1 1 -1 5 -1 -1 -1 0 1 -2 -1 1 1 -2 -1 1 1 0 -1 -1 1
-1 1 1 1 -1 -1 5 1 -1 0 -1 -2 1 -1 1 -2 -1 1 1 -2 -1 -1 -1
-1 1 -1 -1 1 -1 1 5 1 2 1 0 -1 -1 -1 -2 1 -1 1 0 -1 1 -1
1 -1 1 -1 -1 -1 -1 1 5 2 1 0 -1 1 -1 0 1 -1 -1 2 1 1 1
-2 -2 -2 -2 0 0 0 2 2 8 0 4 0 0 2 0 0 -2 0 0 0 -2 -2
1 -1 -1 -1 -1 1 -1 1 1 0 5 0 1 1 -1 -2 -1 -1 1 0 1 1 -1
-2 -2 -2 -2 2 -2 -2 0 0 4 0 8 2 0 0 2 0 -2 0 2 2 -2 -2
1 -1 -1 1 -1 -1 1 -1 -1 0 1 2 5 -1 1 -2 -1 -1 -1 -2 1 -1 -1
1 -1 1 -1 -1 1 -1 -1 1 0 1 0 -1 5 -1 2 1 1 1 2 1 -1 -1
-1 -1 -1 1 -1 1 1 -1 -1 2 -1 0 1 -1 5 0 -1 1 -1 -2 -1 -1 -1
-2 0 2 -2 2 -2 -2 -2 0 0 -2 2 -2 2 0 8 0 0 0 2 2 0 0
1 1 1 1 -1 -1 -1 1 1 0 -1 0 -1 1 -1 0 5 -1 -1 0 -1 1 -1
1 -1 -1 1 1 1 1 -1 -1 -2 -1 -2 -1 1 1 0 -1 5 1 0 -1 -1 1
-1 1 -1 -1 1 1 1 1 -1 0 1 0 -1 1 -1 0 -1 1 5 0 -1 -1 -1
-2 -2 2 0 2 0 -2 0 2 0 0 2 -2 2 -2 2 0 0 0 8 2 0 2
-1 -1 1 -1 -1 -1 -1 -1 1 0 1 2 1 1 -1 2 -1 -1 -1 2 5 -1 1
1 1 1 -1 1 -1 -1 1 1 -2 1 -2 -1 -1 -1 0 1 -1 -1 0 -1 5 1
1 -1 1 1 1 1 -1 -1 1 -2 -1 -2 -1 -1 -1 0 -1 1 -1 2 1 1 5
-
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