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541689 lattice points in polytope (Hilbert basis elements of degree 1)
5 extreme rays
5 support hyperplanes
embedding dimension = 5
rank = 5 (maximal)
external index = 1
internal index = 200135760
size of nested triangulation = 6
resulting sum of |det|s = 11616880
grading:
1 0 0 0 0
degrees of extreme rays:
1:2 2:1 3:2
multiplicity = 33355960/3
multiplicity (float) = 11118653.3333
Hilbert series:
1 541685 5856720 10726152 11118735 11118463 11118763 10577046 5261747 392608
denominator with 5 factors:
1:4 6:1
degree of Hilbert Series as rational function = -1
Hilbert series with cyclotomic denominator:
-1 -541686 -6398405 -16582871 -21303201 -15838793 -5654355 -392608
cyclotomic denominator:
1:5 2:1 3:1
Hilbert quasi-polynomial of period 6:
0: 36 3984 138209 2679416 16677980
1: 1215 3984 138209 2679416 16677980
2: 1108 3984 138209 2679416 16677980
3: 27 3984 138209 2679416 16677980
4: 1224 3984 138209 2679416 16677980
5: 1099 3984 138209 2679416 16677980
with common denominator = 36
***********************************************************************
5 extreme rays:
1 49 0 225 0
1 200 0 171 0
2 141 0 407 43
3 14 528 14 0
3 190 0 718 0
5 support hyperplanes:
-19335888 28512 106993 79728 51216
0 0 0 0 1
0 0 1 0 0
176 1 -1 -1 -2
542 -1 -3 -2 -3
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