The Lattice Bachoc32
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 13:10:51 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
MINVECS
KISSING_NUMBER
DENSITY
HERMITE_NUMBER
GROUP_ORDER
GROUP_GENERATORS
BACHER_POLYNOMIALS
PROPERTIES
REFERENCES
NOTES
LAST_LINE
-
NAME
Bachoc32
-
DIMENSION
32
-
GRAM
32 32
6 -1 0 -1 1 -1 0 -1 0 0 1 0 -2 1 1 1 -2 -1 0 -1 -1 3 0 1 -2 -2 2 -1 -2 1 1 0
-1 6 -2 -2 -1 0 1 0 -1 -2 -2 1 -1 -1 1 -1 1 1 -2 0 2 -1 -1 0 -1 1 -2 1 -1 1 0 2
0 -2 6 2 2 0 1 -1 0 1 2 -1 -1 1 -3 0 1 0 0 -1 -1 -1 0 0 0 1 1 -1 -1 1 2 -2
-1 -2 2 6 2 0 0 1 0 1 0 -2 1 -1 -3 0 1 -1 1 0 -1 -2 0 0 2 1 0 -1 0 0 0 -1
1 -1 2 2 6 -1 0 0 0 2 1 -2 1 -2 -3 -1 1 -3 2 0 -1 0 -1 -1 2 2 -1 -1 -2 1 2 0
-1 0 0 0 -1 6 -2 2 -1 -1 -1 2 -1 -1 2 1 1 1 -2 -2 -1 -1 -3 -2 -2 0 0 0 -1 -2 -1 2
0 1 1 0 0 -2 6 -1 0 0 2 1 0 2 -1 0 1 2 2 0 1 0 3 0 1 0 2 0 1 1 3 -2
-1 0 -1 1 0 2 -1 6 0 0 -2 -1 1 -1 1 2 1 0 0 -1 -1 -2 0 -2 1 0 0 -2 -1 -3 1 2
0 -1 0 0 0 -1 0 0 6 0 2 -1 0 0 0 -3 -2 0 1 0 0 -1 2 -2 1 -2 2 -2 -1 -2 1 0
0 -2 1 1 2 -1 0 0 0 6 0 -1 2 -1 -1 0 1 -3 1 2 2 1 0 1 3 3 1 2 0 3 1 -3
1 -2 2 0 1 -1 2 -2 2 0 6 -1 1 2 -2 -1 -2 1 3 -1 -1 1 1 0 0 -1 2 -1 1 -1 2 -2
0 1 -1 -2 -2 2 1 -1 -1 -1 -1 6 -1 1 3 1 1 2 -1 -1 1 0 -1 -1 -2 -1 0 1 1 0 -1 1
-2 -1 -1 1 1 -1 0 1 0 2 1 -1 6 1 -1 0 1 -1 2 1 1 0 1 0 3 2 0 2 3 -1 0 -2
1 -1 1 -1 -2 -1 2 -1 0 -1 2 1 1 6 0 2 -2 3 0 0 -1 2 2 2 -1 -2 2 1 3 -1 -1 -2
1 1 -3 -3 -3 2 -1 1 0 -1 -2 3 -1 0 6 1 -1 1 -2 0 1 1 0 0 -1 -2 1 1 0 -1 -1 1
1 -1 0 0 -1 1 0 2 -3 0 -1 1 0 2 1 6 0 1 -1 -1 -1 1 0 1 0 0 1 1 2 0 -1 -1
-2 1 1 1 1 1 1 1 -2 1 -2 1 1 -2 -1 0 6 -1 0 -1 1 -2 0 -2 1 3 -1 1 0 1 2 0
-1 1 0 -1 -3 1 2 0 0 -3 1 2 -1 3 1 1 -1 6 0 -1 0 -1 2 1 -2 -2 1 -1 2 -2 0 0
0 -2 0 1 2 -2 2 0 1 1 3 -1 2 0 -2 -1 0 0 6 1 -1 0 2 -1 2 0 0 -1 1 -1 3 -1
-1 0 -1 0 0 -2 0 -1 0 2 -1 -1 1 0 0 -1 -1 -1 1 6 0 2 1 2 2 0 -1 2 0 1 -1 -1
-1 2 -1 -1 -1 -1 1 -1 0 2 -1 1 1 -1 1 -1 1 0 -1 0 6 -1 1 1 1 3 1 2 1 3 1 -2
3 -1 -1 -2 0 -1 0 -2 -1 1 1 0 0 2 1 1 -2 -1 0 2 -1 6 0 2 -1 -1 2 2 0 1 -1 -1
0 -1 0 0 -1 -3 3 0 2 0 1 -1 1 2 0 0 0 2 2 1 1 0 6 1 2 -1 3 0 2 0 2 -3
1 0 0 0 -1 -2 0 -2 -2 1 0 -1 0 2 0 1 -2 1 -1 2 1 2 1 6 0 0 0 2 2 3 -2 -3
-2 -1 0 2 2 -2 1 1 1 3 0 -2 3 -1 -1 0 1 -2 2 2 1 -1 2 0 6 3 0 2 2 1 1 -3
-2 1 1 1 2 0 0 0 -2 3 -1 -1 2 -2 -2 0 3 -2 0 0 3 -1 -1 0 3 6 -1 3 1 3 1 -2
2 -2 1 0 -1 0 2 0 2 1 2 0 0 2 1 1 -1 1 0 -1 1 2 3 0 0 -1 6 0 0 0 2 -3
-1 1 -1 -1 -1 0 0 -2 -2 2 -1 1 2 1 1 1 1 -1 -1 2 2 2 0 2 2 3 0 6 3 3 -2 -3
-2 -1 -1 0 -2 -1 1 -1 -1 0 1 1 3 3 0 2 0 2 1 0 1 0 2 2 2 1 0 3 6 0 -2 -3
1 1 1 0 1 -2 1 -3 -2 3 -1 0 -1 -1 -1 0 1 -2 -1 1 3 1 0 3 1 3 0 3 0 6 0 -3
1 0 2 0 2 -1 3 1 1 1 2 -1 0 -1 -1 -1 2 0 3 -1 1 -1 2 -2 1 1 2 -2 -2 0 6 -1
0 2 -2 -1 0 2 -2 2 0 -3 -2 1 -2 -2 1 -1 0 0 -1 -1 -2 -1 -3 -3 -3 -2 -3 -3 -3 -3 -1 6
-
DIVISORS
2^16
-
MINIMAL_NORM
6
-
MINVECS
-
KISSING_NUMBER
261120
-
DENSITY
-
HERMITE_NUMBER
.424264068712E+01
-
GROUP_ORDER
2^13*3^2
-
GROUP_GENERATORS
4
32 32
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0
0 -1 0 1 1 0 0 3 2 -1 -1 0 2 -2 1 -2 -3 1 -4 3 -4 1 -1 -3 -5 1 0 -1 9 7 6 1
-1 -1 -1 1 1 0 0 1 2 0 -1 0 1 -1 0 0 -2 1 -3 1 -2 1 0 -1 -3 0 -1 1 4 3 5 1
1 0 1 0 0 0 0 1 0 0 -1 0 1 -1 -1 -1 -1 1 -1 0 0 1 0 -1 0 -1 0 1 2 1 1 1
0 -1 0 0 1 0 0 3 1 -2 1 -1 0 0 1 -1 1 1 -1 2 0 1 -2 -2 -1 -1 0 -1 3 4 0 -1
0 0 0 1 0 0 0 1 1 0 -1 0 1 -1 1 -1 -2 1 -2 1 -3 1 0 -2 -2 1 -1 -1 4 4 3 0
-1 0 -1 1 0 1 -1 0 0 0 0 1 1 0 -1 0 -2 0 -2 0 -1 1 1 -1 0 -1 -1 0 1 2 3 0
-1 -1 -1 2 1 0 -1 2 0 0 -1 0 1 -1 0 -2 -4 1 -5 2 -3 1 -1 -3 -3 -1 0 0 8 6 8 2
0 0 0 -1 -1 0 0 -2 0 0 -1 1 0 0 -2 1 0 -1 1 -1 0 -1 0 3 2 1 2 1 -2 -3 0 2
1 0 1 0 0 -1 0 2 0 0 0 -1 0 -1 1 -1 0 2 0 0 0 1 -1 -2 -1 0 -1 0 1 1 -1 -2
1 0 1 -1 0 0 0 1 0 -2 1 -2 0 1 2 0 3 1 2 2 1 0 -2 -2 1 0 1 -3 0 3 -4 -1
0 1 1 -1 -1 0 0 -2 -1 1 0 1 -1 0 -2 2 1 -1 3 -3 3 0 2 3 3 0 -1 2 -7 -7 -4 -1
1 1 1 -1 0 0 1 0 0 0 0 -1 -1 0 1 1 2 0 4 -1 2 0 0 0 0 1 -1 -1 -4 -3 -6 -4
0 0 0 0 -1 1 0 -1 0 -1 1 0 0 1 0 1 1 -1 1 0 1 0 0 1 2 0 0 -1 -2 0 -1 1
1 0 0 -1 -1 0 1 -1 0 0 1 0 -1 1 0 2 3 0 4 -2 3 0 1 1 2 1 -2 0 -8 -5 -7 -4
0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 0 -1 0 0 1 1 0 0 0 -1 0 0 -1 0 -1
0 0 0 1 1 -1 0 3 1 -1 1 -2 0 0 3 -1 1 2 0 2 -1 1 -2 -4 -3 0 -1 -2 3 5 -1 -3
1 1 1 0 0 -1 0 1 0 0 0 -1 0 0 1 0 1 2 1 0 1 1 -1 -2 0 0 -1 -1 -1 0 -3 -3
0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 0 0 0 0 1 -1 -1 -2 1 0 0 2 0 2 2 2 2
-1 0 0 0 -1 0 0 -3 0 1 -1 1 0 0 -1 1 -1 -2 0 -1 -1 -1 1 3 1 1 1 1 -1 -3 2 3
1 1 1 -1 -1 1 0 -2 0 0 0 0 0 1 0 1 2 -1 3 -1 1 -1 0 3 3 1 2 -1 -3 -2 -3 2
-1 0 -1 2 0 0 0 0 1 1 -1 1 1 -1 0 0 -3 0 -3 0 -3 1 1 -1 -3 1 -2 0 3 2 5 0
0 1 0 -1 -1 0 1 -3 0 1 0 0 -1 1 0 2 2 -2 4 -2 1 -2 1 4 1 2 1 1 -6 -6 -4 0
0 0 0 0 -1 0 1 -1 0 1 -1 1 0 -1 -2 1 -1 0 0 -2 1 1 1 1 1 0 -2 2 -3 -4 0 -1
0 0 1 -1 -1 0 1 -2 0 1 -1 1 0 -1 -2 1 0 -1 1 -2 1 0 1 3 2 0 0 2 -3 -5 -1 1
-1 -1 -1 2 0 1 -1 1 2 0 -1 1 2 -1 0 -1 -4 0 -5 2 -5 1 0 -1 -3 1 0 -1 8 7 9 4
1 0 1 -2 -1 0 2 -2 0 0 0 0 -1 0 -1 2 3 -1 4 -2 3 -1 0 4 3 1 0 1 -7 -7 -6 -1
1 1 1 -2 -1 -1 2 -2 -1 1 1 -1 -3 1 0 3 5 0 7 -4 6 0 1 2 3 1 -3 1 -13 -11 -12 -7
0 0 0 -1 -1 0 1 -3 0 1 -1 1 0 0 -1 1 0 -2 1 -1 -1 -2 1 4 1 2 2 1 -2 -4 0 3
0 0 0 2 0 0 -1 2 1 0 -1 1 2 -2 0 -2 -4 1 -5 2 -4 2 0 -3 -3 0 -1 -1 8 6 7 1
0 0 0 0 1 0 -1 1 -1 -1 1 -1 0 1 1 -1 1 1 0 1 1 0 -1 -2 1 -2 1 -1 1 3 -1 0
32 32
1 0 1 -1 -1 1 1 -1 0 0 0 0 0 0 -1 1 1 -1 2 -1 2 -1 1 2 2 0 0 1 -3 -3 -3 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 1 0 0 1 -1 -1 1 -1 0 0 0
0 0 0 1 1 0 0 2 1 0 -1 0 1 -2 0 -1 -2 1 -3 2 -2 1 -1 -2 -3 -1 0 0 6 3 4 0
0 0 -1 0 1 -1 0 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1 -2 1 -1 0 -1 -2 -1 -4
0 0 -1 1 0 -1 1 1 0 1 0 1 -1 -1 0 0 -1 0 -1 -1 0 1 1 -1 -2 1 -3 1 -1 -3 0 -4
0 0 0 1 1 0 -1 1 1 0 -1 -1 1 0 1 -1 -1 1 -2 2 -2 0 -2 -2 -2 -1 1 -1 6 5 4 1
-1 -1 -1 1 1 0 0 1 1 0 -1 1 1 -1 -1 -1 -3 0 -4 1 -3 0 0 0 -2 -1 0 2 5 3 7 3
1 0 0 -1 0 -1 1 0 0 0 1 -1 -1 1 1 1 3 1 3 -1 2 0 -1 0 1 1 -1 -1 -5 -3 -6 -4
0 0 0 0 -1 1 -1 -2 -1 0 0 1 1 0 -1 0 -1 -1 -1 0 -1 -1 1 2 2 0 2 0 1 0 3 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 -1 0 0 -1 -1 0 -1 0 -1 0 0 0 0 0 0 -1 0 1 1 -1 2 0
-1 0 0 1 0 1 -1 -2 0 1 -1 1 1 0 -1 0 -2 -1 -2 0 -2 -1 1 2 1 -1 2 1 3 2 5 6
0 0 -1 0 0 -1 1 0 0 0 1 0 -2 1 1 1 2 0 2 -2 2 1 1 0 0 2 -3 0 -7 -5 -5 -6
1 0 1 -1 0 0 1 1 0 -1 0 -1 0 0 0 0 2 1 2 0 2 0 -1 0 1 -1 0 0 -3 -1 -4 -2
0 0 1 -1 -1 1 0 -3 -1 1 0 0 0 1 -1 1 1 -1 2 -2 2 -1 1 3 4 -1 1 1 -4 -3 -2 3
1 0 1 -1 0 -1 1 1 0 0 1 -1 -1 0 0 1 3 1 3 -1 3 0 -1 0 1 -1 -1 1 -5 -3 -6 -3
-2 -1 -2 3 1 1 -1 1 3 0 -1 1 3 -1 1 -1 -5 0 -7 3 -7 1 0 -2 -5 1 0 -1 11 10 12 5
0 1 1 0 0 1 -1 0 0 0 -1 0 1 0 -1 -1 -1 0 -1 1 -1 0 -1 0 1 -2 2 -1 4 3 3 3
-1 1 -1 0 -1 1 0 -3 -1 2 -1 2 -1 0 -2 1 -2 -3 0 -2 -1 -1 3 3 1 1 0 1 -2 -5 2 1
0 1 1 -1 -1 0 0 -1 -2 1 0 1 -1 0 -1 0 0 -1 2 -2 1 0 2 1 2 0 0 1 -4 -4 -3 -1
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 1 0 0 1 -1 -1 0 1
0 0 1 -1 -1 0 1 -1 0 0 0 0 0 0 0 1 1 -1 2 -1 1 -1 1 2 1 1 0 1 -4 -3 -3 0
0 0 0 0 -1 1 0 -1 0 0 0 1 1 0 -1 0 -1 -1 -1 0 -1 0 1 1 1 0 0 0 0 0 2 2
1 1 2 -2 -1 0 1 -1 -1 0 0 -1 -1 1 0 1 3 0 5 -2 4 0 0 1 3 0 0 0 -7 -5 -8 -2
0 0 -1 0 0 -1 0 0 -1 1 1 1 -1 0 0 0 0 0 0 -1 0 0 1 0 0 1 -1 1 -3 -3 -1 -2
0 0 -1 1 1 -1 0 2 1 0 0 0 0 -1 1 -1 -1 1 -2 1 -2 1 -1 -2 -3 1 -1 0 3 2 2 -2
0 -1 0 0 0 0 0 0 1 -1 0 0 1 0 0 0 0 0 -1 1 -1 -1 -1 1 0 0 1 1 1 1 2 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1
-1 0 -1 1 0 1 0 -1 1 1 -1 1 1 -1 -1 0 -3 -1 -3 0 -3 0 1 1 -1 0 0 1 4 1 6 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0
32 32
1 -1 0 -1 0 -1 1 1 0 -1 0 -1 0 0 0 0 2 2 1 0 2 0 -2 -1 1 -1 -1 1 -3 -1 -3 -3
0 1 0 -1 -1 0 1 -2 -1 1 0 1 -2 0 -2 2 1 -2 3 -3 3 0 2 3 2 0 -1 2 -7 -8 -4 -2
0 -1 -1 0 1 0 0 1 1 -1 0 -1 0 1 1 -1 1 1 -1 2 -1 0 -2 -1 -1 1 1 -2 3 3 1 0
0 0 0 0 0 0 -1 1 0 0 1 -1 0 1 1 -1 1 1 0 1 -1 0 -1 -1 0 0 1 -1 2 3 0 1
1 0 0 -1 0 -1 1 1 0 0 1 -1 -1 0 1 0 2 1 1 0 1 0 -1 -1 0 1 -1 -1 -2 -2 -4 -4
-1 1 0 1 0 1 -1 -1 1 1 -1 0 2 0 1 0 -2 -1 -2 2 -4 -1 0 0 -2 1 3 -2 6 5 5 5
0 -1 -1 0 2 -1 0 3 1 -2 1 -1 -1 1 1 -1 1 1 -1 2 0 0 -2 -2 -2 0 0 0 2 3 0 -2
0 1 0 1 1 0 -1 2 0 0 1 -1 0 0 2 -1 0 1 -1 2 -1 1 -1 -3 -2 0 0 -2 4 4 1 -1
0 1 1 -1 0 0 1 -1 -1 1 -1 1 -1 -1 -1 0 0 -1 2 -2 1 0 1 2 1 0 0 1 -3 -5 -3 -2
1 0 0 -1 0 0 0 0 -1 0 1 0 -1 1 0 0 2 0 2 -1 2 -1 0 1 2 0 0 0 -4 -3 -4 -2
-1 -1 -1 1 1 0 0 1 1 0 -1 1 1 -1 -1 -1 -3 0 -4 1 -3 0 0 0 -2 0 0 1 5 3 6 2
0 -1 0 0 1 0 0 2 1 -1 -1 -1 1 -1 0 -1 -1 1 -2 2 -1 0 -2 -2 -2 -2 1 0 5 5 3 1
-1 -1 -1 2 0 1 -1 1 1 0 0 1 2 -1 0 -1 -4 0 -5 1 -4 1 1 -1 -2 0 -1 0 6 6 8 3
-1 -2 -1 2 1 1 -1 2 2 -2 -1 0 3 -1 0 -2 -4 1 -6 4 -5 0 -2 -2 -3 -1 2 0 11 11 11 6
0 0 1 0 0 0 0 0 0 0 -1 0 1 -1 0 0 -1 0 0 0 0 0 0 0 0 -1 1 1 1 1 1 2
0 -1 0 1 1 1 -1 2 2 -2 0 -2 3 0 2 -1 -1 2 -3 4 -3 0 -3 -3 -2 -1 2 -2 9 11 6 5
1 0 0 -1 0 -1 1 1 0 -1 2 -2 -2 2 2 1 5 1 4 -1 4 1 -1 -1 1 1 -2 -2 -7 -3 -9 -6
-1 -1 0 1 1 0 0 1 2 -1 -1 0 1 -1 0 0 -2 0 -2 2 -2 0 -1 0 -3 0 1 1 5 4 5 3
1 0 0 0 1 -1 0 3 0 -1 1 -1 -1 0 1 -1 1 2 0 1 1 1 -1 -3 -1 0 -2 -1 0 1 -3 -5
1 0 0 0 0 -1 0 1 -1 0 0 0 -1 0 0 -1 0 1 1 -1 1 0 0 -1 0 0 -1 1 -2 -2 -2 -3
-1 0 0 -1 -1 1 0 -3 -1 1 0 2 -1 1 -2 2 0 -3 2 -3 2 -1 3 5 3 0 0 2 -6 -6 -1 2
0 -1 0 1 0 0 0 1 1 -1 -1 0 2 -1 0 -1 -2 1 -3 1 -2 0 -1 -1 -1 -1 0 1 4 4 5 2
0 -1 0 0 1 -1 1 2 1 -2 1 -1 -1 1 2 0 2 1 2 0 2 1 -1 -1 -1 1 -2 0 -3 0 -4 -4
0 -1 0 0 -1 0 0 -1 0 0 0 1 0 0 -2 1 0 0 1 -2 2 0 1 2 2 -1 -1 3 -4 -3 0 1
1 1 1 -1 0 0 0 0 -1 0 1 -1 -1 1 1 0 2 0 3 -1 2 0 0 0 2 0 0 -1 -3 -2 -5 -2
0 1 0 -1 -1 1 0 -3 -1 1 1 0 -1 2 0 2 2 -2 3 -2 2 -1 2 3 3 1 0 -1 -6 -5 -4 0
-1 -1 0 1 1 1 0 1 2 -1 -1 0 2 0 1 -1 -2 0 -3 2 -3 0 -1 0 -2 0 1 0 6 6 6 4
0 0 0 0 -1 1 0 -2 0 0 0 0 1 1 0 1 0 -1 1 -1 0 -1 1 2 2 0 1 0 -2 0 0 3
-1 -1 0 1 0 1 -1 0 1 -1 0 0 2 0 0 0 -2 0 -2 1 -2 0 0 0 0 -1 1 0 4 6 5 5
1 0 0 -2 -1 0 1 -2 -1 0 1 0 -2 2 -1 2 4 -1 5 -3 5 -1 1 3 4 0 -1 1 -10 -8 -8 -3
1 0 0 -1 1 -1 1 2 0 -1 1 -1 -2 1 1 0 3 1 2 0 3 1 -1 -1 0 1 -2 -1 -4 -3 -6 -6
0 1 0 0 0 -1 0 0 -1 1 0 0 -1 -1 0 0 0 0 0 0 0 0 0 -1 -1 0 0 0 0 -2 -1 -2
32 32
0 -1 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 1 1 0 0 1 0 -1 0 1 0 0 1 -2 0 -1 0
0 -1 -1 1 1 0 0 2 2 -1 0 0 1 0 1 -1 -1 1 -3 2 -2 1 -1 -2 -3 1 -1 -1 4 4 3 -1
2 0 1 -1 1 -2 1 2 0 -1 1 -3 -1 0 2 0 4 3 3 1 3 0 -3 -3 0 -1 0 -1 -2 0 -7 -4
1 1 2 -1 -1 0 0 -1 -1 1 -1 0 0 -1 -1 0 0 0 2 -1 1 0 0 1 2 -1 1 0 -1 -2 -2 1
1 0 1 -1 0 -1 0 0 -1 0 0 0 -1 0 -1 0 1 0 2 -1 2 -1 0 1 2 -1 1 2 -3 -3 -3 0
0 0 0 0 -1 1 -1 -1 0 0 -1 0 1 0 -1 0 -1 0 -1 0 -1 0 0 0 1 -1 1 0 2 2 3 3
0 -1 0 -1 1 -2 1 2 1 -2 1 -2 0 1 3 0 3 2 2 1 1 0 -3 -2 -1 1 0 -2 -2 2 -5 -4
-1 0 -1 1 0 1 -1 0 0 1 -1 1 1 -1 -1 -1 -4 -1 -4 1 -4 0 1 -1 -2 0 1 0 6 4 7 3
1 2 1 -1 0 1 0 0 -1 0 0 -1 -1 1 0 0 2 0 3 -1 3 1 0 -1 2 -1 -1 -2 -3 -2 -5 -4
-1 1 0 0 -1 0 0 -3 -1 2 0 2 -1 0 -2 2 -1 -3 1 -3 1 -1 3 4 2 0 0 2 -4 -6 0 2
1 0 0 -1 0 -1 0 1 -1 -1 2 -2 -1 2 2 0 4 2 3 0 3 0 -1 -2 2 0 -1 -2 -5 0 -7 -4
0 0 0 -1 -1 -1 1 -2 0 0 0 0 -1 1 0 2 3 0 4 -3 3 0 0 2 2 1 -1 1 -8 -6 -6 -3
-1 1 0 0 -1 1 0 -3 -1 2 0 2 0 0 -1 1 -2 -3 0 -2 -1 -1 4 3 1 1 0 1 -2 -3 1 3
-1 0 -1 0 1 -1 0 0 0 0 1 -1 0 1 2 0 1 1 0 1 -1 -1 -1 -1 -1 1 1 -1 0 2 -1 0
-1 0 -1 0 -1 1 0 -2 0 0 0 1 0 1 -1 1 0 -2 0 -1 0 0 1 2 1 1 0 0 -2 -2 1 1
-1 -1 -1 0 0 -1 0 0 0 1 0 1 0 -1 -1 0 -1 0 -2 0 -2 -1 0 1 -1 0 1 2 1 0 3 2
1 0 1 -1 0 -1 1 0 0 0 0 0 -1 -1 0 1 1 0 2 -1 2 0 0 0 0 0 -1 1 -3 -4 -4 -3
0 -1 -1 0 1 -1 0 3 1 -2 1 -2 0 1 2 -1 2 3 0 2 0 1 -3 -4 -2 0 -1 -2 1 5 -2 -4
0 0 0 -1 0 -1 0 0 -2 0 1 0 -2 1 0 0 2 0 3 -2 3 0 1 0 2 0 -1 0 -6 -4 -6 -4
-1 1 0 0 0 0 0 -2 -1 1 0 1 -1 0 -1 1 0 -2 1 -2 1 0 2 3 1 0 0 1 -3 -5 -1 0
-1 -1 -1 1 0 0 1 0 2 0 0 1 0 0 0 1 -1 -1 -1 -1 0 1 1 1 -2 1 -3 1 -1 -1 2 -1
-1 0 -1 0 0 -1 0 -1 -1 0 1 1 -1 1 0 1 1 -1 1 -1 1 -1 1 2 1 1 0 1 -5 -4 -2 -1
0 0 0 -1 1 -1 1 2 0 -1 1 -1 -1 0 1 0 2 1 2 0 2 1 -1 -2 -1 0 -2 -1 -3 -1 -5 -6
-1 -1 -1 1 0 0 0 0 1 0 0 1 1 -1 -1 0 -2 0 -3 1 -2 0 0 1 -1 0 0 1 3 2 5 3
0 1 0 -1 0 0 0 -1 -1 1 0 1 -1 0 -1 0 0 -2 1 -1 0 -1 1 2 1 0 1 0 -1 -3 -1 0
0 -1 -1 1 1 -1 0 2 1 0 0 1 0 -1 0 -1 -2 0 -3 1 -2 0 0 -1 -3 0 -1 1 4 2 4 0
0 0 0 -1 0 -1 1 1 0 -1 1 -1 -1 1 1 1 3 1 3 -1 3 1 -1 -1 1 0 -2 -1 -6 -2 -6 -5
-1 0 -1 0 0 0 0 -2 0 1 0 2 0 0 -1 1 -1 -2 -1 -1 -1 -1 2 3 0 1 0 1 -1 -3 2 2
-1 0 -1 0 0 0 0 -1 0 1 0 1 0 0 0 0 -1 -1 -1 0 -2 -1 1 1 -1 1 0 0 1 0 2 1
0 -1 0 0 0 -1 1 0 1 0 0 1 0 -1 -1 1 0 0 0 -1 1 0 0 2 0 0 -1 2 -2 -3 0 0
1 -1 0 -1 1 -2 1 3 0 -2 2 -2 -2 1 2 0 4 2 3 0 4 1 -2 -3 0 0 -2 -1 -5 -1 -8 -7
0 0 0 1 0 1 -1 0 0 0 -1 0 1 0 0 -1 -2 0 -2 1 -2 0 0 -1 -1 0 1 0 4 3 4 2
-
BACHER_POLYNOMIALS
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
x^4198*6 x^4122*2 x^2478*2 x^2456*4 x^2436*8 x^2433*8 x^2429*8 x^2424*6 x^2423*8 x^2422*8 x^2421*8 x^2419*4 x^2417*8 x^2416*20 x^2414*24 x^2412*8 x^2410*24 x^2409*16 x^2407*16 x^2406*12 x^2405*16 x^2403*16 x^2401*8 x^2400*6 x^2399*8 x^2398*20 x^2397*32 x^2396*8 x^2394*22 x^2391*16 x^2390*16 x^2389*8 x^2388*8 x^2387*16 x^2386*24 x^2385*20 x^2384*56 x^2383*32 x^2382*12 x^2381*16 x^2380*32 x^2379*16 x^2378*16 x^2377*28 x^2376*32 x^2375*24 x^2374*12 x^2373*24 x^2371*8 x^2370*8 x^2369*24 x^2368*16 x^2367*16 x^2366*40 x^2365*16 x^2364*24 x^2363*24 x^2362*36 x^2361*16 x^2360*8 x^2359*24 x^2358*40 x^2357*8 x^2356*32 x^2355*8 x^2354*8 x^2352*12 x^2351*16 x^2350*68 x^2349*16 x^2348*16 x^2347*16 x^2345*16 x^2344*12 x^2343*8 x^2342*8 x^2341*64 x^2340*8 x^2339*8 x^2338*8 x^2336*8 x^2335*8 x^2334*20 x^2333*4 x^2332*8 x^2330*16 x^2329*8 x^2328*8 x^2327*8 x^2324*8 x^2323*8 x^2322*8 x^2308*8 x^2301*8 x^2300*8 x^2280*8 (9216x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
x^2912*4 x^2890*4 x^2863*4 x^2859*4 x^2852*4 x^2846*4 x^2441*4 x^2438*4 x^2436*4 x^2433*4 x^2431*4 x^2429*12 x^2428*4 x^2426*4 x^2424*4 x^2418*12 x^2417*12 x^2416*4 x^2415*4 x^2414*4 x^2413*12 x^2410*12 x^2409*4 x^2408*8 x^2407*4 x^2406*16 x^2405*4 x^2404*12 x^2401*20 x^2400*16 x^2399*8 x^2398*8 x^2397*28 x^2396*12 x^2395*16 x^2394*20 x^2393*12 x^2391*8 x^2390*8 x^2389*8 x^2388*8 x^2387*20 x^2386*16 x^2385*12 x^2384*20 x^2383*20 x^2382*20 x^2381*16 x^2380*16 x^2379*8 x^2378*12 x^2377*40 x^2376*48 x^2375*28 x^2374*32 x^2373*36 x^2372*12 x^2371*28 x^2370*12 x^2369*20 x^2368*40 x^2367*24 x^2366*48 x^2365*16 x^2364*24 x^2363*16 x^2362*36 x^2361*16 x^2360*24 x^2359*36 x^2358*20 x^2357*28 x^2356*20 x^2355*16 x^2353*4 x^2352*40 x^2351*4 x^2350*16 x^2349*20 x^2348*28 x^2347*8 x^2346*8 x^2345*8 x^2344*8 x^2343*28 x^2342*4 x^2341*12 x^2340*20 x^2339*24 x^2337*16 x^2336*12 x^2335*8 x^2334*4 x^2333*4 x^2331*12 x^2330*8 x^2329*16 x^2327*8 x^2324*4 x^2323*12 x^2322*8 x^2319*4 x^2316*4 x^2315*8 x^2314*8 x^2308*8 x^2301*4
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1
x^4080*6 x^4032*2 x^2451*8 x^2440*6 x^2426*16 x^2425*16 x^2416*16 x^2414*16 x^2408*12 x^2405*24 x^2404*16 x^2400*22 x^2398*32 x^2397*16 x^2395*16 x^2392*24 x^2391*16 x^2390*16 x^2388*8 x^2387*16 x^2384*16 x^2383*32 x^2381*8 x^2380*32 x^2379*32 x^2377*40 x^2373*16 x^2371*16 x^2369*16 x^2368*32 x^2367*32 x^2366*32 x^2365*48 x^2364*48 x^2363*48 x^2362*48 x^2360*36 x^2359*32 x^2358*16 x^2357*24 x^2356*28 x^2353*32 x^2351*32 x^2350*16 x^2349*32 x^2345*16 x^2344*16 x^2343*16 x^2342*16 x^2341*16 x^2340*32 x^2339*32 x^2338*24 x^2337*48 x^2336*32 x^2333*8 x^2332*16 x^2331*16 x^2330*8 x^2327*8 x^2323*16 x^2315*16 x^2314*16 x^2311*24 x^2308*32 x^2306*16 x^2301*16 x^2300*16 x^2280*16 (4608x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 1 0 1
x^3032*4 x^3004*4 x^2996*4 x^2984*10 x^2856*2 x^2492*2 x^2472*4 x^2448*2 x^2438*8 x^2436*8 x^2432*16 x^2431*16 x^2430*8 x^2429*16 x^2428*8 x^2426*4 x^2424*16 x^2422*16 x^2420*20 x^2419*16 x^2418*8 x^2416*16 x^2415*16 x^2414*16 x^2412*16 x^2409*8 x^2408*16 x^2407*32 x^2403*16 x^2402*16 x^2400*32 x^2399*16 x^2398*16 x^2396*64 x^2392*48 x^2391*16 x^2390*8 x^2387*16 x^2385*8 x^2382*16 x^2381*16 x^2380*24 x^2379*32 x^2378*16 x^2377*16 x^2376*16 x^2375*16 x^2374*16 x^2372*56 x^2371*16 x^2370*32 x^2368*64 x^2366*64 x^2364*8 x^2363*48 x^2360*16 x^2359*32 x^2358*64 x^2357*56 x^2356*8 x^2355*16 x^2354*8 x^2352*24 x^2351*32 x^2350*16 x^2348*16 x^2346*16 x^2335*32 x^2334*8 x^2332*16 x^2330*16 x^2329*16 x^2328*16 x^2321*16 x^2320*8 x^2316*16 x^2315*16 x^2309*16 x^2308*8 x^2305*8 (4608x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0
x^3032*4 x^3004*4 x^2996*4 x^2984*10 x^2856*2 x^2492*2 x^2472*4 x^2459*8 x^2456*8 x^2448*2 x^2438*8 x^2437*8 x^2436*24 x^2431*8 x^2430*8 x^2429*16 x^2428*24 x^2427*24 x^2426*12 x^2423*8 x^2422*8 x^2421*8 x^2420*4 x^2418*16 x^2417*8 x^2416*16 x^2414*24 x^2413*16 x^2412*8 x^2411*8 x^2409*16 x^2408*8 x^2407*24 x^2406*8 x^2405*32 x^2404*24 x^2403*8 x^2402*24 x^2401*16 x^2400*8 x^2399*16 x^2398*8 x^2397*16 x^2396*8 x^2395*8 x^2394*24 x^2393*32 x^2392*8 x^2391*24 x^2390*16 x^2388*24 x^2387*24 x^2386*24 x^2385*16 x^2384*8 x^2383*24 x^2380*8 x^2379*16 x^2378*16 x^2377*8 x^2376*24 x^2375*16 x^2374*32 x^2373*16 x^2372*8 x^2370*16 x^2369*8 x^2368*32 x^2367*24 x^2366*24 x^2365*16 x^2364*16 x^2363*8 x^2362*8 x^2361*40 x^2360*32 x^2359*24 x^2358*24 x^2356*24 x^2353*32 x^2352*16 x^2351*8 x^2349*16 x^2348*32 x^2347*8 x^2346*8 x^2344*8 x^2343*8 x^2341*8 x^2340*16 x^2339*8 x^2337*16 x^2336*32 x^2334*8 x^2333*8 x^2331*8 x^2330*8 x^2329*32 x^2324*8 x^2318*8 x^2310*8 x^2306*16 x^2301*8 (9216x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0
x^3018*12 x^3002*6 x^2998*6 x^2468*6 x^2459*8 x^2456*12 x^2452*12 x^2441*8 x^2438*8 x^2437*8 x^2435*4 x^2434*12 x^2433*16 x^2431*8 x^2429*20 x^2428*8 x^2426*16 x^2424*4 x^2423*8 x^2422*8 x^2420*20 x^2419*16 x^2418*22 x^2417*8 x^2416*8 x^2414*24 x^2413*8 x^2412*18 x^2411*8 x^2410*8 x^2409*16 x^2408*16 x^2407*28 x^2406*16 x^2405*20 x^2404*8 x^2403*8 x^2402*16 x^2400*16 x^2399*32 x^2398*8 x^2397*28 x^2396*28 x^2395*8 x^2394*16 x^2391*24 x^2390*16 x^2389*16 x^2388*16 x^2387*8 x^2386*8 x^2384*16 x^2383*24 x^2382*8 x^2381*8 x^2380*24 x^2379*24 x^2378*48 x^2377*24 x^2375*24 x^2374*24 x^2373*28 x^2372*24 x^2371*32 x^2368*8 x^2367*16 x^2366*24 x^2365*16 x^2364*4 x^2363*16 x^2362*24 x^2361*24 x^2360*40 x^2359*16 x^2358*20 x^2357*24 x^2356*16 x^2355*32 x^2352*8 x^2351*24 x^2350*16 x^2349*16 x^2348*24 x^2347*8 x^2345*8 x^2344*8 x^2342*4 x^2341*8 x^2340*8 x^2338*8 x^2337*32 x^2336*8 x^2335*8 x^2333*8 x^2331*8 x^2327*4 x^2324*8 x^2322*2 x^2317*4 x^2316*8 x^2305*8 x^2301*8 x^2292*4 (9216x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 -1 -1
x^2863*4 x^2859*4 x^2852*8 x^2846*8 x^2476*8 x^2469*4 x^2458*8 x^2441*8 x^2439*4 x^2433*8 x^2429*8 x^2428*8 x^2426*8 x^2422*16 x^2421*8 x^2419*8 x^2416*8 x^2415*8 x^2414*8 x^2412*4 x^2410*16 x^2409*8 x^2407*16 x^2406*8 x^2405*8 x^2404*8 x^2401*16 x^2400*20 x^2399*8 x^2398*12 x^2397*16 x^2396*8 x^2395*16 x^2394*32 x^2393*32 x^2391*8 x^2390*8 x^2389*8 x^2388*16 x^2387*16 x^2386*8 x^2385*24 x^2384*16 x^2383*24 x^2382*8 x^2381*44 x^2380*24 x^2379*16 x^2378*24 x^2376*16 x^2375*8 x^2374*8 x^2373*48 x^2372*16 x^2371*16 x^2370*8 x^2369*40 x^2368*32 x^2367*16 x^2366*16 x^2365*24 x^2364*76 x^2363*32 x^2362*44 x^2361*24 x^2360*24 x^2359*40 x^2357*16 x^2356*24 x^2355*32 x^2354*8 x^2353*16 x^2352*16 x^2351*12 x^2350*20 x^2349*12 x^2348*40 x^2347*16 x^2345*16 x^2344*8 x^2343*8 x^2342*8 x^2340*16 x^2339*16 x^2337*24 x^2336*8 x^2335*16 x^2334*4 x^2333*8 x^2331*8 x^2327*8 x^2325*8 x^2324*8 x^2321*8 x^2316*8 x^2301*4 x^2292*8 x^2281*8 x^2214*4 (9216x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0
x^4428*4 x^4284*2 x^4212*2 x^2508*6 x^2493*24 x^2448*18 x^2433*96 x^2421*96 x^2408*36 x^2406*48 x^2402*24 x^2397*48 x^2396*48 x^2392*48 x^2388*72 x^2387*96 x^2383*48 x^2382*48 x^2377*48 x^2373*48 x^2372*24 x^2368*48 x^2360*48 x^2359*48 x^2358*92 x^2357*48 x^2355*48 x^2354*48 x^2345*48 x^2340*48 x^2338*96 x^2332*24 x^2327*24 x^2322*8 x^2292*8 (1536x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -1 0 0 -1 0
x^2995*4 x^2929*4 x^2912*4 x^2890*4 x^2852*4 x^2846*4 x^2458*4 x^2442*4 x^2436*4 x^2434*8 x^2433*4 x^2431*4 x^2429*4 x^2428*4 x^2427*8 x^2425*12 x^2424*4 x^2423*8 x^2422*4 x^2421*4 x^2420*8 x^2419*4 x^2418*4 x^2415*8 x^2413*4 x^2412*4 x^2408*8 x^2407*16 x^2406*4 x^2405*8 x^2404*12 x^2403*4 x^2402*8 x^2401*12 x^2400*8 x^2399*24 x^2398*16 x^2397*16 x^2396*20 x^2394*8 x^2393*8 x^2392*12 x^2391*12 x^2390*12 x^2389*12 x^2388*8 x^2387*36 x^2386*20 x^2385*16 x^2384*28 x^2383*24 x^2382*8 x^2381*28 x^2380*16 x^2379*8 x^2378*28 x^2377*16 x^2376*32 x^2375*12 x^2374*24 x^2373*20 x^2372*20 x^2371*20 x^2370*4 x^2369*36 x^2368*40 x^2367*16 x^2366*40 x^2365*8 x^2364*24 x^2363*16 x^2362*24 x^2361*28 x^2360*36 x^2359*28 x^2358*28 x^2357*16 x^2356*28 x^2355*8 x^2354*4 x^2353*12 x^2352*24 x^2351*20 x^2350*28 x^2349*24 x^2348*20 x^2347*20 x^2345*4 x^2344*16 x^2343*16 x^2342*12 x^2341*12 x^2340*28 x^2339*12 x^2338*8 x^2337*24 x^2335*4 x^2334*8 x^2333*12 x^2332*4 x^2331*8 x^2330*12 x^2329*12 x^2328*4 x^2327*12 x^2326*4 x^2325*8
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
x^3010*6 x^2998*12 x^2966*6 x^2493*8 x^2476*8 x^2474*6 x^2460*12 x^2444*12 x^2442*8 x^2437*12 x^2434*8 x^2433*8 x^2431*12 x^2428*12 x^2427*12 x^2423*16 x^2421*8 x^2420*8 x^2419*24 x^2418*8 x^2416*8 x^2415*8 x^2414*24 x^2412*24 x^2411*8 x^2410*16 x^2409*8 x^2408*16 x^2406*24 x^2405*16 x^2404*8 x^2403*12 x^2401*32 x^2400*16 x^2398*28 x^2397*16 x^2396*20 x^2395*16 x^2394*2 x^2392*4 x^2391*32 x^2390*8 x^2389*4 x^2388*16 x^2387*24 x^2386*16 x^2385*16 x^2384*24 x^2383*8 x^2382*20 x^2381*24 x^2380*8 x^2379*16 x^2378*56 x^2377*28 x^2376*16 x^2375*40 x^2374*40 x^2373*24 x^2372*8 x^2371*16 x^2370*16 x^2369*16 x^2368*16 x^2367*16 x^2366*24 x^2365*24 x^2363*8 x^2361*8 x^2360*36 x^2359*16 x^2358*36 x^2357*28 x^2356*32 x^2355*16 x^2353*16 x^2352*8 x^2351*8 x^2350*16 x^2349*16 x^2348*24 x^2347*8 x^2345*8 x^2344*8 x^2343*16 x^2342*8 x^2341*16 x^2340*16 x^2337*16 x^2336*8 x^2335*8 x^2334*8 x^2333*8 x^2332*16 x^2331*8 x^2326*16 x^2320*8 x^2309*4 x^2304*4 (9216x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1
x^2995*4 x^2987*4 x^2929*4 x^2912*4 x^2890*4 x^2875*4 x^2480*4 x^2476*4 x^2469*4 x^2459*4 x^2458*4 x^2442*4 x^2437*4 x^2435*4 x^2432*4 x^2431*4 x^2428*8 x^2426*4 x^2424*4 x^2423*8 x^2422*4 x^2421*12 x^2419*4 x^2418*8 x^2417*4 x^2416*4 x^2415*4 x^2414*16 x^2413*16 x^2412*8 x^2410*20 x^2409*12 x^2408*8 x^2407*8 x^2406*8 x^2405*4 x^2404*28 x^2403*20 x^2402*8 x^2401*16 x^2400*20 x^2399*12 x^2398*24 x^2397*4 x^2396*16 x^2395*12 x^2394*24 x^2393*20 x^2392*12 x^2391*16 x^2390*4 x^2389*4 x^2388*16 x^2387*32 x^2386*24 x^2384*8 x^2383*12 x^2382*12 x^2381*32 x^2380*20 x^2379*8 x^2378*32 x^2377*8 x^2376*8 x^2375*28 x^2374*32 x^2373*20 x^2372*20 x^2371*20 x^2370*8 x^2369*36 x^2368*32 x^2367*8 x^2366*24 x^2365*20 x^2364*12 x^2363*20 x^2362*48 x^2361*12 x^2360*20 x^2359*24 x^2358*24 x^2357*24 x^2356*44 x^2355*12 x^2354*8 x^2353*24 x^2352*4 x^2351*24 x^2350*8 x^2349*24 x^2348*8 x^2347*8 x^2344*12 x^2343*4 x^2342*12 x^2341*16 x^2340*24 x^2338*16 x^2337*24 x^2336*8 x^2335*8 x^2334*8 x^2333*12 x^2332*8 x^2330*4 x^2328*4 x^23
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 -1 0 0
x^2995*8 x^2987*4 x^2929*8 x^2875*4 x^2480*4 x^2438*8 x^2437*12 x^2436*8 x^2428*8 x^2422*16 x^2419*8 x^2418*16 x^2417*16 x^2416*16 x^2415*4 x^2414*32 x^2412*8 x^2409*8 x^2408*8 x^2407*16 x^2406*16 x^2405*8 x^2404*8 x^2403*8 x^2402*16 x^2401*40 x^2400*16 x^2396*20 x^2395*8 x^2394*28 x^2393*8 x^2392*16 x^2391*24 x^2389*16 x^2388*8 x^2387*20 x^2386*16 x^2384*24 x^2383*32 x^2382*16 x^2381*16 x^2380*24 x^2379*16 x^2377*16 x^2376*20 x^2375*48 x^2374*48 x^2373*40 x^2372*8 x^2371*24 x^2370*8 x^2369*24 x^2368*48 x^2366*8 x^2365*8 x^2364*24 x^2363*24 x^2362*32 x^2361*8 x^2359*16 x^2358*48 x^2356*16 x^2355*8 x^2353*16 x^2352*24 x^2351*16 x^2350*24 x^2349*16 x^2348*8 x^2347*8 x^2345*8 x^2343*16 x^2342*8 x^2341*16 x^2340*28 x^2338*16 x^2337*4 x^2336*8 x^2335*16 x^2334*16 x^2332*16 x^2331*8 x^2330*16 x^2329*16 x^2326*24 x^2324*32 x^2316*12 x^2315*16 x^2311*8 x^2308*8 x^2300*8 x^2298*8 x^2292*8 (9216x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1
x^4347*4 x^4005*4 x^2422*12 x^2420*24 x^2414*24 x^2412*24 x^2410*48 x^2409*12 x^2399*24 x^2397*24 x^2396*48 x^2394*12 x^2390*24 x^2387*36 x^2386*12 x^2384*12 x^2383*24 x^2382*4 x^2379*12 x^2378*48 x^2377*36 x^2375*24 x^2374*48 x^2373*24 x^2370*24 x^2369*24 x^2368*36 x^2367*32 x^2366*72 x^2364*24 x^2362*12 x^2361*48 x^2360*24 x^2358*40 x^2357*48 x^2356*12 x^2355*48 x^2352*60 x^2351*72 x^2350*48 x^2349*24 x^2347*24 x^2342*24 x^2337*24 x^2334*12 x^2330*24 x^2329*60 x^2325*24 x^2322*24 x^2321*48 x^2301*12 x^2300*24 x^2292*8 (3072x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0
x^4311*4 x^4257*4 x^2432*24 x^2426*12 x^2425*12 x^2418*24 x^2414*24 x^2409*24 x^2401*24 x^2394*24 x^2393*24 x^2389*24 x^2387*36 x^2386*24 x^2385*24 x^2383*72 x^2382*8 x^2381*24 x^2379*24 x^2375*24 x^2374*48 x^2373*24 x^2372*24 x^2371*24 x^2368*48 x^2367*28 x^2366*48 x^2364*48 x^2363*24 x^2361*36 x^2359*72 x^2358*16 x^2356*48 x^2353*72 x^2352*36 x^2351*48 x^2350*24 x^2349*24 x^2348*24 x^2346*24 x^2343*24 x^2340*24 x^2336*48 x^2335*24 x^2334*24 x^2331*24 x^2329*24 x^2328*48 x^2326*24 x^2322*8 x^2315*48 (3072x)
1 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 -1 0 0 -1 1 1 0 0
x^4266*6 x^4230*2 x^2526*6 x^2430*6 x^2429*12 x^2421*12 x^2418*12 x^2416*18 x^2414*24 x^2413*24 x^2412*6 x^2408*12 x^2407*24 x^2402*24 x^2400*36 x^2399*36 x^2398*60 x^2396*24 x^2394*24 x^2393*24 x^2390*36 x^2388*24 x^2387*24 x^2384*60 x^2382*24 x^2381*24 x^2379*24 x^2378*24 x^2377*96 x^2376*24 x^2375*48 x^2374*48 x^2373*24 x^2372*24 x^2371*24 x^2368*24 x^2366*24 x^2364*24 x^2363*12 x^2362*24 x^2361*12 x^2359*60 x^2358*60 x^2355*48 x^2354*24 x^2353*12 x^2352*72 x^2349*24 x^2348*48 x^2346*24 x^2344*24 x^2341*12 x^2340*24 x^2329*24 x^2321*24 (3072x)
-
PROPERTIES
Modular=1
-
REFERENCES
C. Bachoc, Voisinage au sens de Kneser pour les r'eseaux quaternioniens.
Comment. Math. Helvetici 70 (1995), 350-374
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NOTES
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe