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7 lattice points in polytope (module generators)
0 Hilbert basis elements of recession monoid
6 vertices of polyhedron
0 extreme rays of recession cone
6 support hyperplanes of polyhedron (homogenized)
embedding dimension = 4
affine dimension of the polyhedron = 2
rank of recession monoid = 0 (polyhedron is polytope)
dehomogenization:
0 0 0 1
grading:
0 0 0 1
module rank = 7
multiplicity = 7
Hilbert series:
7
denominator with 0 factors:
shift = 1
degree of Hilbert Series as rational function = 1
The numerator of the Hilbert series is symmetric.
Hilbert polynomial:
with common denominator = 1
***********************************************************************
7 lattice points in polytope (module generators):
1 2 3 1
1 3 2 1
2 1 3 1
2 2 2 1
2 3 1 1
3 1 2 1
3 2 1 1
0 Hilbert basis elements of recession monoid:
6 vertices of polyhedron:
1 2 3 1
1 3 2 1
2 1 3 1
2 3 1 1
3 1 2 1
3 2 1 1
0 extreme rays of recession cone:
6 support hyperplanes of polyhedron (homogenized):
-1 -1 0 5
-1 0 0 3
0 -1 0 3
0 1 0 -1
1 0 0 -1
1 1 0 -3
1 equations:
1 1 1 -6
3 basis elements of generated lattice:
1 0 -1 0
0 1 -1 0
0 0 6 1
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