1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
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7 Hilbert basis elements
7 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 not integrally closed
size of triangulation = 4
resulting sum of |det|s = 6
grading:
0 1
degrees of extreme rays:
1: 2
Hilbert basis elements are of degree 1
multiplicity = 6
Hilbert series:
1 5
denominator with 2 factors:
1: 2
degree of Hilbert Series as rational function = -1
Hilbert polynomial:
1 6
with common denominator = 1
rank of class group = 0
finite cyclic summands:
6: 1
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7 Hilbert basis elements of degree 1:
0 1
1 1
2 1
3 1
4 1
5 1
6 1
0 further Hilbert basis elements of higher degree:
2 extreme rays:
0 1
6 1
2 support hyperplanes:
-1 6
1 0
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