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1 lattice points in polytope (Hilbert basis elements of degree 1)
3 extreme rays
3 support hyperplanes
embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 15
size of triangulation = 1
resulting sum of |det|s = 15
grading:
0 0 1
degrees of extreme rays:
2:1 3:1 4:1
multiplicity = 5/8
multiplicity (float) = 0.625
Hilbert series:
1 0 0 3 2 -1 2 2 1 1 1 1 2
denominator with 3 factors:
1:1 2:1 12:1
degree of Hilbert Series as rational function = -3
Hilbert series with cyclotomic denominator:
-1 -1 -1 -3 -4 -3 -2
cyclotomic denominator:
1:3 2:2 3:1 4:1
Hilbert quasi-polynomial of period 12:
0: 48 28 15
1: 11 22 15
2: -20 28 15
3: 39 22 15
4: 32 28 15
5: -5 22 15
6: 12 28 15
7: 23 22 15
8: 16 28 15
9: 27 22 15
10: -4 28 15
11: 7 22 15
with common denominator = 48
***********************************************************************
1 lattice points in polytope (Hilbert basis elements of degree 1):
0 0 1
3 extreme rays:
1 1 2
-1 -1 3
1 -2 4
3 support hyperplanes:
-8 2 3
1 -1 0
2 7 3
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