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 61
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3 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 = 2
resulting sum of |det|s = 2
grading:
1 1
degrees of extreme rays:
3: 2
multiplicity = 1/3
Hilbert series:
1 -1 1
denominator with 2 factors:
1: 1 3: 1
degree of Hilbert Series as rational function = -2
Hilbert series with cyclotomic denominator:
1 -1 1
cyclotomic denominator:
1: 2 3: 1
Hilbert quasi-polynomial of period 3:
0: 3 1
1: -1 1
2: 1 1
with common denominator = 3
rank of class group = 0
finite cyclic summands:
3: 1
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0 Hilbert basis elements of degree 1:
3 further Hilbert basis elements of higher degree:
1 1
1 2
2 1
2 extreme rays:
1 2
2 1
2 support hyperplanes:
-1 2
2 -1
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