The Lattice DualExtremal(16,10)c
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 13:28:12 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)c
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DIMENSION (required)
16
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GRAM (floating point or integer Gram matrix)
16
12 -10 -2 0 2 0 -4 8 -10 0 -8 4 6 4 4 0
-10 26 15 10 -1 -10 7 -11 10 -3 15 -3 -12 -12 -3 0
-2 15 22 10 -2 -10 -1 -3 0 -5 8 -4 -11 -9 -4 0
0 10 10 20 10 0 10 0 0 -10 0 0 0 0 0 0
2 -1 -2 10 18 10 9 -1 0 -7 -8 2 3 11 2 10
0 -10 -10 0 10 20 0 0 0 0 -10 0 10 20 0 10
-4 7 -1 10 9 0 22 2 10 -6 1 -9 -1 3 1 0
8 -11 -3 0 -1 0 2 18 -10 -2 -7 -1 11 13 -1 0
-10 10 0 0 0 0 10 -10 20 0 10 -10 -10 -10 0 -10
0 -3 -5 -10 -7 0 -6 -2 0 14 5 -1 1 1 9 0
-8 15 8 0 -8 -10 1 -7 10 5 22 -6 -9 -11 4 -10
4 -3 -4 0 2 0 -9 -1 -10 -1 -6 22 3 -1 2 0
6 -12 -11 0 3 10 -1 11 -10 1 -9 3 22 16 3 10
4 -12 -9 0 11 20 3 13 -10 1 -11 -1 16 42 -1 20
4 -3 -4 0 2 0 1 -1 0 9 4 2 3 -1 22 0
0 0 0 0 10 10 0 0 -10 0 -10 0 10 20 0 40
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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