The Lattice M22d3
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 14:50:47 CEST 2019
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
GROUP_NAME
PROPERTIES
NOTES
LAST_LINE
-
NAME
M22d3
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DIMENSION
22
-
DIVISORS
1,3^20,15
-
MINIMAL_NORM
10
-
KISSING_NUMBER
14256
-
GRAM
22 22
12 -3 -3 3 6 3 0 0 -3 6 3 -3 -6 3 -6 -3 -3 3 -3 -6 -6 3
-3 12 -3 3 -6 3 -3 3 3 -3 0 -3 -3 3 6 -3 6 -3 -3 -3 6 -6
-3 -3 12 3 0 -6 -3 3 -3 3 3 0 6 -6 0 6 -3 0 6 3 0 3
3 3 3 12 3 -3 0 6 -3 6 6 -6 0 3 3 -3 3 3 0 -3 3 0
6 -6 0 3 12 0 0 3 -6 3 3 0 -3 3 -3 0 -3 3 0 0 -3 6
3 3 -6 -3 0 10 1 -1 -1 0 -4 2 -3 1 -2 -1 -1 1 -2 -4 -3 -1
0 -3 -3 0 0 1 10 -4 2 0 -1 -1 3 1 -2 -1 -1 4 1 2 -3 2
0 3 3 6 3 -1 -4 10 -5 3 1 -2 0 2 2 -2 1 2 2 -2 3 1
-3 3 -3 -3 -6 -1 2 -5 10 -6 1 1 0 -1 2 -2 1 -1 -4 1 0 -5
6 -3 3 6 3 0 0 3 -6 12 3 -3 0 0 -3 0 0 3 3 -3 -3 3
3 0 3 6 3 -4 -1 1 1 3 10 -2 -3 2 2 1 1 2 -1 1 0 1
-3 -3 0 -6 0 2 -1 -2 1 -3 -2 10 0 -4 -1 4 -2 -1 2 1 0 1
-6 -3 6 0 -3 -3 3 0 0 0 -3 0 12 -6 0 3 -3 3 3 3 0 0
3 3 -6 3 3 1 1 2 -1 0 2 -4 -6 10 1 -4 5 1 -2 -1 3 -1
-6 6 0 3 -3 -2 -2 2 2 -3 2 -1 0 1 10 -1 5 -2 -2 2 6 -4
-3 -3 6 -3 0 -1 -1 -2 -2 0 1 4 3 -4 -1 10 -2 -1 5 4 0 4
-3 6 -3 3 -3 -1 -1 1 1 0 1 -2 -3 5 5 -2 10 -4 -1 1 6 -5
3 -3 0 3 3 1 4 2 -1 3 2 -1 3 1 -2 -1 -4 10 1 -1 -3 2
-3 -3 6 0 0 -2 1 2 -4 3 -1 2 3 -2 -2 5 -1 1 10 2 0 5
-6 -3 3 -3 0 -4 2 -2 1 -3 1 1 3 -1 2 4 1 -1 2 10 0 1
-6 6 0 3 -3 -3 -3 3 0 -3 0 0 0 3 6 0 6 -3 0 0 12 -3
3 -6 3 0 6 -1 2 1 -5 3 1 1 0 -1 -4 4 -5 2 5 1 -3 10
-
GROUP_ORDER
2^9 3^6 5^3 7 11 = 3592512000
-
GROUP_NAME
(C2 x Mc).C2
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PROPERTIES
INTEGRAL =1
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NOTES
Dual of (C2 x Mc).C2
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe