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 62 63 64 65 66 67 68 69 70 71 72
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17 Hilbert basis elements
17 Hilbert basis elements of degree 1
6 extreme rays
7 support hyperplanes
embedding dimension = 6
rank = 5
external index = 1
internal index = 1
original monoid is not integrally closed
size of triangulation = 3
resulting sum of |det|s = 27
grading:
0 0 0 0 0 1
degrees of extreme rays:
1: 6
Hilbert basis elements are of degree 1
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17 Hilbert basis elements of degree 1:
4 7 3 5 4 1
5 6 4 5 3 1
6 5 5 5 2 1
7 3 7 4 2 1
7 4 5 5 2 1
7 4 6 5 1 1
8 2 8 4 1 1
8 3 6 5 1 1
8 3 7 5 0 1
9 0 10 3 1 1
9 0 10 4 0 1
9 1 8 4 1 1
9 2 6 5 1 1
9 2 7 5 0 1
10 0 9 4 0 1
10 1 7 5 0 1
11 0 7 5 0 1
0 further Hilbert basis elements of higher degree:
6 extreme rays:
4 7 3 5 4 1
8 3 7 5 0 1
9 0 10 3 1 1
9 0 10 4 0 1
10 0 9 4 0 1
11 0 7 5 0 1
7 support hyperplanes:
-3 -4 -3 0 0 57
-1 -1 -1 -1 0 23
-1 -1 0 1 0 6
0 -1 -1 0 0 10
0 1 0 0 0 0
1 1 0 -2 0 -1
21 29 14 0 0 -329
1 equations:
1 1 1 1 1 -23
5 basis elements of lattice:
1 0 0 0 -1 0
0 1 0 0 -1 0
0 0 1 0 -1 0
0 0 0 1 -1 0
0 0 0 0 23 1
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