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5 Hilbert basis elements
5 lattice points in polytope (Hilbert basis elements of degree 1)
4 extreme rays
4 support hyperplanes
1 excluded faces
embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 2
original monoid is not integrally closed in chosen lattice
size of triangulation = 2
resulting sum of |det|s = 4
grading:
0 0 1
degrees of extreme rays:
1:4
Hilbert basis elements are of degree 1
multiplicity = 4
Hilbert series:
3 1
denominator with 3 factors:
1:3
shift = 1
degree of Hilbert Series as rational function = -1
Hilbert polynomial:
0 1 2
with common denominator = 1
rank of class group = 1
finite cyclic summands:
2:2
***********************************************************************
5 lattice points in polytope (Hilbert basis elements of degree 1):
-1 0 1
0 -1 1
0 0 1
0 1 1
1 0 1
0 further Hilbert basis elements of higher degree:
4 extreme rays:
-1 0 1
0 -1 1
0 1 1
1 0 1
4 support hyperplanes:
-1 -1 1
-1 1 1
1 -1 1
1 1 1
1 excluded faces:
-1 -1 1
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