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5 Hilbert basis elements
0 Hilbert basis elements of degree 1
2 extreme rays
2 support hyperplanes
embedding dimension = 2
rank = 2 (maximal)
external index = 1
internal index = 1
original monoid is integrally closed
size of triangulation = 4
resulting sum of |det|s = 4
grading:
1 1
degrees of extreme rays:
4: 2
multiplicity = 1/2
Hilbert series:
1 -1 1 1
denominator with 2 factors:
1: 1 4: 1
degree of Hilbert Series as rational function = -2
Hilbert series with cyclotomic denominator:
1 -1 1 1
cyclotomic denominator:
1: 2 2: 1 4: 1
Hilbert quasi-polynomial of period 4:
0: 2 1
1: -1 1
2: 0 1
3: 1 1
with common denominator = 2
rank of class group = 0
finite cyclic summands:
8: 1
***********************************************************************
0 Hilbert basis elements of degree 1:
5 further Hilbert basis elements of higher degree:
1 1
1 2
2 1
1 3
3 1
2 extreme rays:
1 3
3 1
2 support hyperplanes:
-1 3
3 -1
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