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3 original generators of the toric ring
3 Hilbert basis elements
3 lattice points in polytope (Hilbert basis elements of degree 1)
2 extreme rays
2 support hyperplanes
embedding dimension = 2
rank = 2 (maximal)
external index = 2
internal index = 1
original monoid is integrally closed in chosen lattice
size of triangulation = 2
resulting sum of |det|s = 2
grading:
1 1
with denominator = 2
degrees of extreme rays:
1:2
Hilbert basis elements are of degree 1
multiplicity = 2
Hilbert series:
1 1
denominator with 2 factors:
1:2
degree of Hilbert Series as rational function = -1
The numerator of the Hilbert series is symmetric.
Hilbert polynomial:
1 2
with common denominator = 1
rank of class group = 0
finite cyclic summands:
2:1
***********************************************************************
3 original generators:
2 0
1 1
0 2
3 lattice points in polytope (Hilbert basis elements of degree 1):
0 2
1 1
2 0
0 further Hilbert basis elements of higher degree:
2 extreme rays:
0 2
2 0
2 support hyperplanes:
0 1
1 0
1 congruences:
1 1 2
2 basis elements of generated lattice:
1 1
0 2
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