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5 Hilbert basis elements
5 lattice points in polytope (Hilbert basis elements of degree 1)
3 generators of integral closure of the ideal
4 extreme rays
4 support hyperplanes
embedding dimension = 3
rank = 3 (maximal)
external index = 1
internal index = 1
original monoid is integrally closed in chosen lattice
size of partial triangulation = 0
resulting sum of |det|s = 0
grading:
1 1 -2
degrees of extreme rays:
1:4
Hilbert basis elements are of degree 1
ideal is not primary to the ideal generated by the indeterminates
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5 lattice points in polytope (Hilbert basis elements of degree 1):
0 1 0
1 0 0
1 2 1
2 1 1
3 0 1
0 further Hilbert basis elements of higher degree:
3 generators of integral closure of the ideal:
1 2
2 1
3 0
4 extreme rays:
0 1 0
1 0 0
1 2 1
3 0 1
4 support hyperplanes:
0 0 1
0 1 0
1 0 -1
1 1 -3
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