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8 Hilbert basis elements
5 generators of integral closure of the ideal
6 extreme rays
5 support hyperplanes
embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 1
original monoid is not integrally closed
size of partial triangulation = 1
resulting sum of |det|s = 3
No implicit grading found
ideal is primary to the ideal generated by the indeterminates
multiplicity of the ideal = 15
rank of class group = 1
class group is free
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8 Hilbert basis elements:
0 0 1 0
0 0 1 1
0 1 0 0
0 5 0 1
1 0 0 0
1 4 0 1
2 2 0 1
3 0 0 1
5 generators of integral closure of the ideal:
0 0 1
0 5 0
1 4 0
2 2 0
3 0 0
6 extreme rays:
0 0 1 0
0 0 1 1
0 1 0 0
0 5 0 1
1 0 0 0
3 0 0 1
5 support hyperplanes:
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0
5 3 15 -15
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