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4 Hilbert basis elements
4 lattice points in polytope (Hilbert basis elements of degree 1)
4 extreme rays
4 support hyperplanes
embedding dimension = 4
rank = 4 (maximal)
external index = 1
internal index = 1
original monoid is integrally closed in chosen lattice
size of triangulation = 1
resulting sum of |det|s = 1
grading:
1 1 1 1
degrees of extreme rays:
1:4
Hilbert basis elements are of degree 1
multiplicity = 1
Hilbert series:
1
denominator with 4 factors:
1:4
degree of Hilbert Series as rational function = -4
The numerator of the Hilbert series is symmetric.
Hilbert polynomial:
6 11 6 1
with common denominator = 6
rank of class group = 0
class group is free
***********************************************************************
4 lattice points in polytope (Hilbert basis elements of degree 1):
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0
0 further Hilbert basis elements of higher degree:
4 extreme rays:
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0
4 support hyperplanes:
0 0 0 1
0 0 1 0
0 1 0 0
1 0 0 0
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