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 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
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4398 lattice points in polytope (Hilbert basis elements of degree 1)
83 extreme rays
25 support hyperplanes
embedding dimension = 5
rank = 5 (maximal)
external index = 1
size of triangulation = 620
resulting sum of |det|s = 65126
grading:
0 0 0 0 1
degrees of extreme rays:
1:83
multiplicity = 65126
Hilbert series:
1 4393 33752 25439 1541
denominator with 5 factors:
1:5
degree of Hilbert Series as rational function = -1
Hilbert polynomial:
12 268 3059 16874 32563
with common denominator = 12
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83 extreme rays:
0 0 2 9 1
0 0 2 12 1
0 0 3 12 1
0 0 5 3 1
0 0 6 2 1
0 0 10 0 1
0 0 15 0 1
0 1 2 6 1
0 1 3 4 1
0 1 5 10 1
0 1 6 1 1
0 1 8 0 1
0 1 15 0 1
0 2 2 4 1
0 2 5 1 1
0 2 7 0 1
0 3 2 3 1
0 3 3 2 1
0 3 7 0 1
0 3 8 6 1
0 3 14 0 1
0 4 2 3 1
0 4 2 4 1
0 4 3 2 1
0 4 5 1 1
0 4 8 0 1
0 4 9 4 1
0 4 13 0 1
1 0 1 12 1
1 0 3 12 1
1 0 15 0 1
1 4 9 4 1
1 4 13 0 1
2 0 0 9 1
2 0 0 11 1
2 1 0 6 1
2 1 0 10 1
2 2 0 4 1
2 3 0 3 1
2 4 0 3 1
2 4 0 4 1
3 0 0 12 1
3 1 0 4 1
3 3 0 2 1
3 4 0 2 1
3 4 12 0 1
5 0 0 3 1
5 0 13 0 1
5 2 0 1 1
5 4 0 1 1
5 4 10 1 1
6 0 0 2 1
6 1 0 1 1
6 1 12 0 1
7 0 0 12 1
7 2 0 0 1
7 3 0 0 1
7 4 6 4 1
7 4 7 3 1
8 1 0 0 1
8 1 10 1 1
8 4 0 0 1
10 0 0 0 1
10 1 0 10 1
10 3 3 6 1
10 3 4 5 1
11 0 7 3 1
11 2 1 8 1
12 1 0 9 1
12 2 0 8 1
13 0 0 9 1
13 0 4 5 1
13 3 0 6 1
13 4 0 4 1
14 3 0 5 1
14 4 0 3 1
15 4 0 0 1
15 4 0 1 1
17 0 0 5 1
18 0 0 0 1
18 0 0 3 1
18 1 0 0 1
18 1 0 1 1
25 support hyperplanes:
-2 -2 -2 -1 39
-1 -2 -1 -2 32
-1 -2 -1 -1 25
-1 -1 -2 -2 31
-1 -1 -1 -1 22
-1 -1 -1 0 19
-1 0 -1 0 18
0 -2 0 -1 12
0 -1 -1 -1 17
0 -1 0 0 4
0 0 -1 -1 15
0 0 0 1 0
0 0 1 0 0
0 1 0 0 0
1 -1 1 3 -4
1 -1 2 -1 9
1 0 0 0 0
1 0 1 0 -2
1 0 1 1 -5
1 0 1 2 -7
1 1 1 1 -8
1 1 1 2 -9
1 2 1 2 -10
2 2 2 1 -12
2 3 2 1 -13
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