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17 Hilbert basis elements
6 lattice points in polytope (Hilbert basis elements of degree 1)
10 generators of integral closure of the ideal
16 extreme rays
2 module generators over original monoid
24 support hyperplanes
embedding dimension = 7
rank = 7 (maximal)
external index = 1
internal index = 1
original monoid is not integrally closed in chosen lattice
size of partial triangulation = 1
resulting sum of |det|s = 2
grading:
1 1 1 1 1 1 0
degrees of extreme rays:
1:6 3:10
ideal is not primary to the ideal generated by the indeterminates
***********************************************************************
6 lattice points in polytope (Hilbert basis elements of degree 1):
0 0 0 0 0 1 0
0 0 0 0 1 0 0
0 0 0 1 0 0 0
0 0 1 0 0 0 0
0 1 0 0 0 0 0
1 0 0 0 0 0 0
11 further Hilbert basis elements of higher degree:
0 0 1 1 0 1 1
0 0 1 1 1 0 1
0 1 0 0 1 1 1
0 1 0 1 1 0 1
0 1 1 0 0 1 1
1 0 0 0 1 1 1
1 0 0 1 0 1 1
1 0 1 0 1 0 1
1 1 0 1 0 0 1
1 1 1 0 0 0 1
1 1 1 1 1 1 2
10 generators of integral closure of the ideal:
0 0 1 1 0 1
0 0 1 1 1 0
0 1 0 0 1 1
0 1 0 1 1 0
0 1 1 0 0 1
1 0 0 0 1 1
1 0 0 1 0 1
1 0 1 0 1 0
1 1 0 1 0 0
1 1 1 0 0 0
16 extreme rays:
0 0 0 0 0 1 0
0 0 0 0 1 0 0
0 0 0 1 0 0 0
0 0 1 0 0 0 0
0 1 0 0 0 0 0
1 0 0 0 0 0 0
0 0 1 1 0 1 1
0 0 1 1 1 0 1
0 1 0 0 1 1 1
0 1 0 1 1 0 1
0 1 1 0 0 1 1
1 0 0 0 1 1 1
1 0 0 1 0 1 1
1 0 1 0 1 0 1
1 1 0 1 0 0 1
1 1 1 0 0 0 1
2 module generators over original monoid:
0 0 0 0 0 0 0
1 1 1 1 1 1 2
24 support hyperplanes:
0 0 0 0 0 0 1
0 0 0 0 0 1 0
0 0 0 0 1 0 0
0 0 0 1 0 0 0
0 0 1 0 0 0 0
0 0 1 1 0 1 -1
0 0 1 1 1 0 -1
0 1 0 0 0 0 0
0 1 0 0 1 1 -1
0 1 0 1 1 0 -1
0 1 1 0 0 1 -1
0 1 1 1 1 1 -2
1 0 0 0 0 0 0
1 0 0 0 1 1 -1
1 0 0 1 0 1 -1
1 0 1 0 1 0 -1
1 0 1 1 1 1 -2
1 1 0 1 0 0 -1
1 1 0 1 1 1 -2
1 1 1 0 0 0 -1
1 1 1 0 1 1 -2
1 1 1 1 0 1 -2
1 1 1 1 1 0 -2
1 1 1 1 1 1 -3
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