1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
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3 module generators
4 Hilbert basis elements of recession monoid
3 vertices of polyhedron
4 extreme rays of recession cone
7 support hyperplanes of polyhedron (homogenized)
embedding dimension = 4
affine dimension of the polyhedron = 3 (maximal)
rank of recession monoid = 3
internal index = 2
size of triangulation = 5
resulting sum of |det|s = 10
dehomogenization:
0 0 0 1
grading:
0 0 1 0
module rank = 1
multiplicity = 2
Hilbert series:
3 -1
denominator with 3 factors:
1:3
shift = 1
degree of Hilbert Series as rational function = -1
Hilbert polynomial:
0 2 1
with common denominator = 1
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3 module generators:
0 1 1 1
1 0 1 1
1 1 1 1
4 Hilbert basis elements of recession monoid:
0 0 1 0
0 1 1 0
1 0 1 0
1 1 1 0
3 vertices of polyhedron:
0 1 0 2
1 0 0 2
1 1 0 2
4 extreme rays of recession cone:
0 0 1 0
0 1 1 0
1 0 1 0
1 1 1 0
7 support hyperplanes of polyhedron (homogenized):
-2 0 2 1
0 -2 2 1
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0
2 2 0 -1
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