The Lattice T26
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 13:20:27 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DETERMINANT
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
PROPERTIES
REFERENCES
NOTES
LAST_LINE
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NAME
T26
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DIMENSION
26
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DETERMINANT
3
-
MINIMAL_NORM
4
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KISSING_NUMBER
117936
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GRAM
26 0
4
-2 4
-2 0 4
1 1 0 4
-2 1 0 -2 4
-2 1 0 0 0 4
1 -2 -1 0 0 -1 4
1 1 -1 2 -2 1 0 4
-2 1 0 0 2 2 0 -1 4
-2 2 0 -1 2 0 0 0 0 4
1 1 -1 2 -2 0 -1 1 -1 0 4
1 1 0 2 -2 -1 0 1 -1 -1 1 4
-2 0 2 -2 2 0 0 -1 0 2 -2 -2 4
-1 2 1 2 0 0 0 1 1 1 0 1 0 4
-2 2 1 -1 2 0 -1 0 0 2 -1 0 2 0 4
-1 2 1 2 0 0 0 1 0 1 0 2 0 2 1 4
-2 2 0 -1 1 2 -1 1 1 1 -1 0 1 0 2 1 4
-1 -1 1 0 1 1 0 -1 1 0 -1 -2 1 0 0 0 -1 4
-2 0 0 -2 1 2 0 0 1 1 -1 -2 1 -1 1 -1 2 1 4
-2 1 2 1 1 1 0 0 1 1 -1 0 1 2 1 2 0 2 0 4
-2 0 2 0 0 2 -1 0 1 0 0 -1 1 0 0 0 1 1 1 1 4
-1 2 -1 -1 1 0 0 1 0 2 0 0 1 0 2 0 2 -2 1 -1 -1 4
-1 -1 1 0 0 0 2 0 0 1 -1 0 1 0 0 1 0 1 1 1 1 0 4
-2 0 0 -1 2 2 0 -1 2 1 -1 -2 1 -1 1 0 1 2 2 1 1 0 1 4
1 1 -1 2 -2 1 0 2 0 -1 1 2 -2 1 -1 1 0 -1 -1 0 -1 0 -1 -1 4
1 -2 1 0 0 -1 0 -1 0 -1 0 -1 0 -1 -1 -1 -2 1 -1 0 1 -2 0 0 -1 4
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GROUP_ORDER
1268047872
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PROPERTIES
INTEGRAL=1
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REFERENCES
Borcherds' thesis (Ref [Bor1] of SPLAG).
G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31,
Comm. Alg. 24(7), 2341-2397 (1996).
For more information see the Intro to 3rd edition of SPLAG.
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NOTES
Discovered by J. H. Conway and/or R. E. Borcherds.
Called T_26- in NJAS's notebooks and 3D4(2):3 in the Nebe paper.
Group is 3D_4(2):3
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe