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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0 lattice points in polytope (Hilbert basis elements of degree 1)
2 extreme rays
2 support hyperplanes
embedding dimension = 2
rank = 2 (maximal)
external index = 6
internal index = 1
size of triangulation = 1
resulting sum of |det|s = 1
grading:
0 1
degrees of extreme rays:
3:2
multiplicity = 1/3
multiplicity (float) = 0.333333333333
volume (lattice normalized) = 1/3
volume (normalized, float) = 0.333333333333
volume (Euclidean) = 0.666666666667
Hilbert series:
1
denominator with 2 factors:
3:2
degree of Hilbert Series as rational function = -6
The numerator of the Hilbert series is symmetric.
Hilbert series with cyclotomic denominator:
1
cyclotomic denominator:
1:2 3:2
Hilbert quasi-polynomial of period 3:
0: 3 1
1: 0 0
2: 0 0
with common denominator = 3
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2 extreme rays:
0 3
2 3
2 support hyperplanes:
-3 2
1 0
1 congruences:
3 2 6
2 basis elements of generated lattice:
2 0
0 3
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