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17 Hilbert basis elements
1 Hilbert basis elements of degree 1
16 extreme rays
11 support hyperplanes
3 excluded faces
embedding dimension = 8
rank = 8 (maximal)
external index = 1
size of triangulation = 16
resulting sum of |det|s = 19
grading:
1 1 1 1 1 1 1 1
degrees of extreme rays:
1: 1 2: 13 4: 2
multiplicity = 1/8
Hilbert series:
1 0 8 0 14 1 7 0 1
denominator with 8 factors:
1: 1 2: 6 4: 1
shift = 1
degree of Hilbert Series as rational function = -8
Hilbert series with cyclotomic denominator:
1 0 8 0 14 1 7 0 1
cyclotomic denominator:
1: 8 2: 7 4: 1
Hilbert quasi-polynomial of period 4:
0: 0 16896 25312 24304 11830 2884 343 16
1: 80640 209088 210112 108304 31360 5152 448 16
2: 10080 16896 25312 24304 11830 2884 343 16
3: 80640 209088 210112 108304 31360 5152 448 16
with common denominator = 645120
rank of class group = 3
class group is free
***********************************************************************
1 Hilbert basis elements of degree 1:
1 0 0 0 0 0 0 0
16 further Hilbert basis elements of higher degree:
0 0 0 1 0 0 1 0
0 0 1 0 0 1 0 0
0 0 1 1 0 0 0 0
0 1 0 0 1 0 0 0
0 1 0 1 0 0 0 0
0 1 1 0 0 0 0 0
1 0 0 0 0 0 0 1
1 0 0 0 0 0 1 0
1 0 0 0 0 1 0 0
1 0 0 0 1 0 0 0
1 0 0 1 0 0 0 0
1 0 1 0 0 0 0 0
1 1 0 0 0 0 0 0
0 1 1 1 0 0 0 0
0 1 1 1 0 0 0 1
1 0 0 0 1 1 1 0
16 extreme rays:
1 0 0 0 0 0 0 0
0 0 0 1 0 0 1 0
0 0 1 0 0 1 0 0
0 0 1 1 0 0 0 0
0 1 0 0 1 0 0 0
0 1 0 1 0 0 0 0
0 1 1 0 0 0 0 0
1 0 0 0 0 0 0 1
1 0 0 0 0 0 1 0
1 0 0 0 0 1 0 0
1 0 0 0 1 0 0 0
1 0 0 1 0 0 0 0
1 0 1 0 0 0 0 0
1 1 0 0 0 0 0 0
0 1 1 1 0 0 0 1
1 0 0 0 1 1 1 0
11 support hyperplanes:
0 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0
0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0
0 0 1 0 0 0 0 0
0 1 0 0 0 0 0 0
1 -1 1 1 1 -1 -1 -1
1 0 0 0 0 0 0 0
1 1 -1 1 -1 1 -1 -1
1 1 1 -1 -1 -1 1 -1
3 excluded faces:
1 -1 1 1 1 -1 -1 -1
1 1 -1 1 -1 1 -1 -1
1 1 1 -1 -1 -1 1 -1
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