The Lattice DualExtremal(16,10)g
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 13:28:06 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME (required)
DIMENSION (required)
GRAM (floating point or integer Gram matrix)
DIVISORS (elementary divisors)
MINIMAL_NORM
THETA_SERIES
PROPERTIES
REFERENCES
NOTES
URL (links to other sites for this lattice)
LAST_LINE (required)
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NAME (required)
DualExtremal(16,10)g
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DIMENSION (required)
16
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GRAM (floating point or integer Gram matrix)
16
14 6 -3 -8 1 -6 10 -10 2 0 0 9 10 3 -2 -5
6 16 -10 0 -8 -2 0 0 -4 0 0 8 4 10 2 -8
-3 -10 18 3 11 9 0 0 -1 10 10 -1 4 -18 -1 7
-8 0 3 18 1 4 -10 10 -6 0 0 -11 4 -3 4 7
1 -8 11 1 26 9 0 0 -5 0 10 4 6 -21 -3 -2
-6 -2 9 4 9 26 0 10 0 10 10 1 -6 -9 8 -3
10 0 0 -10 0 0 20 -10 10 0 0 10 0 0 0 0
-10 0 0 10 0 10 -10 20 -10 0 0 -10 -10 0 0 0
2 -4 -1 -6 -5 0 10 -10 18 0 0 5 -4 1 4 3
0 0 10 0 0 10 0 0 0 20 10 0 0 -10 10 0
0 0 10 0 10 10 0 0 0 10 20 10 0 -20 0 0
9 8 -1 -11 4 1 10 -10 5 0 10 26 4 -9 -7 -8
10 4 4 4 6 -6 0 -10 -4 0 0 4 28 -4 0 4
3 10 -18 -3 -21 -9 0 0 1 -10 -20 -9 -4 38 1 -7
-2 2 -1 4 -3 8 0 0 4 10 0 -7 0 1 26 5
-5 -8 7 7 -2 -3 0 0 3 0 0 -8 4 -7 5 22
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DIVISORS (elementary divisors)
10^14
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MINIMAL_NORM
12
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THETA_SERIES
1 + 6*q^12 + 72*q^14 + 54*q^16 + 432*q^18 + 42*q^20 + 1728*q^22 + 1008*q^24 +
5472*q^26 + 3078*q^28 + 2472*q^30 + 7650*q^32 + 35424*q^34 + 17916*q^36 +
77472*q^38 + 6120*q^40
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PROPERTIES
INTEGRAL = 1 (lattices are real unless stated otherwise)
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REFERENCES
Boecherer, Nebe: On theta series attached to maximal lattices and their adjoints.
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NOTES
The dual of a maximal integral lattice of level 10
with highest possible minimum.
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URL (links to other sites for this lattice)
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LAST_LINE (required)
Haftungsausschluss/Disclaimer
Gabriele Nebe