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5 Hilbert basis elements
0 lattice points in polytope (Hilbert basis elements of degree 1)
2 extreme rays
2 support hyperplanes
embedding dimension = 2
rank = 2 (maximal)
external index = 1
internal index = 1
original monoid is integrally closed in chosen lattice
size of triangulation = 4
resulting sum of |det|s = 4
grading:
1 1
degrees of extreme rays:
4:2
multiplicity = 1/2
multiplicity (float) = 0.5
Hilbert series:
1 -1 1 1
denominator with 2 factors:
1:1 4:1
degree of Hilbert Series as rational function = -2
Hilbert series with cyclotomic denominator:
1 -1 1 1
cyclotomic denominator:
1:2 2:1 4:1
Hilbert quasi-polynomial of period 4:
0: 2 1
1: -1 1
2: 0 1
3: 1 1
with common denominator = 2
rank of class group = 0
finite cyclic summands:
8:1
***********************************************************************
0 lattice points in polytope (Hilbert basis elements of degree 1):
5 further Hilbert basis elements of higher degree:
1 1
1 2
2 1
1 3
3 1
2 extreme rays:
1 3
3 1
2 support hyperplanes:
-1 3
3 -1
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