The Lattice LAMBDA22d3
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 11:44:21 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
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NAME
LAMBDA22d3
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DIMENSION
22
-
DIVISORS
1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6
-
MINIMAL_NORM
8
-
KISSING_NUMBER
1782
-
GRAM
22 22
8 -1 -1 2 -1 1 1 2 -2 -3 2 -2 2 -2 -2 2 -2 3 2 -2 -2 2
-1 8 2 -1 -1 1 1 -1 -2 -3 -4 1 2 4 1 2 -2 3 -1 -2 1 2
-1 2 8 -4 -1 -2 1 -1 1 3 2 -2 -1 4 4 2 1 -3 2 -2 1 2
2 -1 -4 8 -1 4 -2 -1 1 -3 -1 -2 2 -2 -2 2 1 0 -1 1 1 2
-1 -1 -1 -1 8 1 -2 -1 1 0 -1 4 -1 1 -2 -4 1 3 -4 -2 1 2
1 1 -2 4 1 8 -1 1 2 0 -2 -1 4 2 -4 1 -1 3 1 -1 -1 4
1 1 1 -2 -2 -1 8 -2 -1 -3 1 2 1 -1 -1 1 -4 3 4 -1 -4 -2
2 -1 -1 -1 -1 1 -2 8 1 0 2 -2 -1 1 1 -1 -2 0 2 1 1 -1
-2 -2 1 1 1 2 -1 1 8 0 1 -1 1 2 2 -2 2 0 1 -1 -1 1
-3 -3 3 -3 0 0 -3 0 0 12 3 -3 -3 0 0 0 3 -6 0 0 0 0
2 -4 2 -1 -1 -2 1 2 1 3 8 -2 -4 -2 1 -1 1 -3 2 1 -2 -1
-2 1 -2 -2 4 -1 2 -2 -1 -3 -2 8 1 -1 -1 -2 -1 3 -2 -1 -1 -2
2 2 -1 2 -1 4 1 -1 1 -3 -4 1 8 1 -2 2 -2 3 2 -2 -2 2
-2 4 4 -2 1 2 -1 1 2 0 -2 -1 1 8 2 1 -1 0 1 -1 2 4
-2 1 4 -2 -2 -4 -1 1 2 0 1 -1 -2 2 8 1 2 -3 1 -1 2 -2
2 2 2 2 -4 1 1 -1 -2 0 -1 -2 2 1 1 8 -2 -3 2 -2 1 2
-2 -2 1 1 1 -1 -4 -2 2 3 1 -1 -2 -1 2 -2 8 -3 -2 2 2 1
3 3 -3 0 3 3 3 0 0 -6 -3 3 3 0 -3 -3 -3 12 0 -3 -3 0
2 -1 2 -1 -4 1 4 2 1 0 2 -2 2 1 1 2 -2 0 8 1 -2 -1
-2 -2 -2 1 -2 -1 -1 1 -1 0 1 -1 -2 -1 -1 -2 2 -3 1 8 2 -2
-2 1 1 1 1 -1 -4 1 -1 0 -2 -1 -2 2 2 1 2 -3 -2 2 8 1
2 2 2 2 2 4 -2 -1 1 0 -1 -2 2 4 -2 2 1 0 -1 -2 1 8
-
GROUP_ORDER
2^17 3^7 5 7 11 = 110361968640
-
GROUP_NAME
(U(6,2)xC2).6
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PROPERTIES
INTEGRAL =1
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NOTES
sublattice of dual of LAMBDA 22 generated by minimal vectors (rescaled)
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe