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19 Hilbert basis elements
18 Hilbert basis elements of degree 1
4 extreme rays
4 support hyperplanes
embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 30
original monoid is not integrally closed
size of triangulation = 1
resulting sum of |det|s = 30
grading:
0 0 0 1
degrees of extreme rays:
1: 4
Hilbert basis elements are not of degree 1
multiplicity = 30
Hilbert series:
1 14 15
denominator with 4 factors:
1: 4
degree of Hilbert Series as rational function = -2
Hilbert polynomial:
1 4 8 5
with common denominator = 1
rank of class group = 0
finite cyclic summands:
30: 1
***********************************************************************
18 Hilbert basis elements of degree 1:
0 0 0 1
0 0 1 1
0 0 2 1
0 0 3 1
0 0 4 1
0 0 5 1
0 1 0 1
0 1 1 1
0 1 2 1
0 1 3 1
0 2 0 1
0 2 1 1
0 3 0 1
1 0 0 1
1 0 1 1
1 0 2 1
1 1 0 1
2 0 0 1
1 further Hilbert basis elements of higher degree:
1 2 4 2
4 extreme rays:
0 0 0 1
0 0 5 1
0 3 0 1
2 0 0 1
4 support hyperplanes:
-15 -10 -6 30
0 0 1 0
0 1 0 0
1 0 0 0
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