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$(6,0)$ |
1 |
7 |
|
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7: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
7: $\begin{pmatrix}6 & 5 & 4 & 3 & 2 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (7): {{-1, -1, -1, -1, -1, -1}, {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}}
Cones (7): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 6}}
Primitive collections: {{0, 1, 2, 3, 4, 5, 6}}
Chambers: ({{1}},{{0}},{1})
Cox degrees: {{1},{1},{1},{1},{1},{1},{1}}
Theta-collection (7): {{6},{5},{4},{3},{2},{1},{0}}
Ext matrix: {{1,7,28,84,210,462,924},{0,1,7,28,84,210,462},{0,0,1,7,28,84,210},{0,0,0,1,7,28,84},{0,0,0,0,1,7,28},{0,0,0,0,0,1,7},{0,0,0,0,0,0,1}}
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$(6,1)$ |
2 |
12 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 5 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 7 & 6 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, -1}, {1, 1, 1, 1, 1, -5}}
Cones (12): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}}
Primitive collections: {{5, 6}, {0, 1, 2, 3, 4, 7}}
Chambers: ({{1,0},{0,1},{1,5}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{0,1},{1,5},{1,0},{0,1}}
Theta-collection (16): {{1,10},{1,9},{1,8},{1,7},{1,6},{1,5},{0,5},{1,4},{1,3},{0,4},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,6,21,56,126,252,253,462,792,468,813,1287,1343,2002,2128,3255},{0,1,6,21,56,126,126,252,462,253,468,792,813,1287,1343,2128},{0,0,1,6,21,56,56,126,252,126,253,462,468,792,813,1343},{0,0,0,1,6,21,21,56,126,56,126,252,253,462,468,813},{0,0,0,0,1,6,6,21,56,21,56,126,126,252,253,468},{0,0,0,0,0,1,1,6,21,6,21,56,56,126,126,253},{0,0,0,0,0,0,1,0,0,6,21,0,56,0,126,252},{T^5,0,0,0,0,0,T^5,1,6,1,6,21,21,56,56,126},{6*T^5,T^5,0,0,0,0,6*T^5,0,1,T^5,1,6,6,21,21,56},{0,0,0,0,0,0,0,0,0,1,6,0,21,0,56,126},{0,0,0,0,0,0,0,0,0,0,1,0,6,0,21,56},{21*T^5,6*T^5,T^5,0,0,0,21*T^5,0,0,6*T^5,T^5,1,1,6,6,21},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,6,21},{56*T^5,21*T^5,6*T^5,T^5,0,0,56*T^5,0,0,21*T^5,6*T^5,0,T^5,1,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,19)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 4 & 4 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,4}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,4},{1,4},{1,0},{0,1}}
Theta-collection (21): {{2,12},{2,11},{2,10},{2,9},{2,8},{1,8},{2,7},{1,7},{2,6},{1,6},{2,5},{1,5},{1,4},{0,4},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,5,15,35,70,72,126,136,210,240,330,400,635,638,967,982,1421,1466,2025,2130,3020},{0,1,5,15,35,35,70,72,126,136,210,240,400,400,635,638,967,982,1421,1466,2130},{0,0,1,5,15,15,35,35,70,72,126,136,240,240,400,400,635,638,967,982,1466},{0,0,0,1,5,5,15,15,35,35,70,72,136,136,240,240,400,400,635,638,982},{0,0,0,0,1,1,5,5,15,15,35,35,72,72,136,136,240,240,400,400,638},{0,0,0,0,0,1,0,5,0,15,0,35,70,72,126,136,210,240,330,400,635},{T^4,0,0,0,0,2*T^4,1,1,5,5,15,15,35,35+3*T^4,72,72,136,136,240,240,400},{0,0,0,0,0,0,0,1,0,5,0,15,35,35,70,72,126,136,210,240,400},{5*T^4,T^4,0,0,0,10*T^4,0,2*T^4,1,1,5,5,15,15+15*T^4,35,35+3*T^4,72,72,136,136,240},{0,0,0,0,0,0,0,0,0,1,0,5,15,15,35,35,70,72,126,136,240},{15*T^4,5*T^4,T^4,0,0,30*T^4,0,10*T^4,0,2*T^4,1,1,5,5+45*T^4,15,15+15*T^4,35,35+3*T^4,72,72,136},{0,0,0,0,0,0,0,0,0,0,0,1,5,5,15,15,35,35,70,72,136},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,15,15,35,35,72},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,0,35,70},{0,0,0,0,0,T^4,0,0,0,0,0,0,0,2*T^4,1,1,5,5,15,15,35},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,35},{0,0,0,0,0,5*T^4,0,T^4,0,0,0,0,0,10*T^4,0,2*T^4,1,1,5,5,15},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,15},{0,0,0,0,0,15*T^4,0,5*T^4,0,T^4,0,0,0,30*T^4,0,10*T^4,0,2*T^4,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,46)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 3 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 9 & 8 & 7 & 7 & 6 & 5 & 6 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,2},{1,3}},{{1,3},{2,3},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,2},{1,3},{1,0},{0,1}}
Theta-collection (19): {{2,9},{2,8},{2,7},{1,7},{2,6},{2,5},{1,6},{1,5},{2,4},{1,4},{2,3},{0,4},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,5,15,16,35,70,41,90,126,176,210,182,315,336,526,581,831,951,1486},{0,1,5,5,15,35,16,41,70,90,126,91,176,182,315,336,526,581,951},{0,0,1,1,5,15,5,16,35,41,70,41,90,91,176,182,315,336,581},{0,0,0,1,0,0,5,15,0,35,0,41,70,90,126,176,210,315,526},{0,0,0,0,1,5,1,5,15,16,35,16,41,41,90,91,176,182,336},{0,0,0,T^4,0,1,0,1,5,5,15,5+T^4,16,16,41,41,90,91,182},{0,0,0,0,0,0,1,5,0,15,0,16,35,41,70,90,126,176,315},{0,0,0,0,0,0,0,1,0,5,0,5,15,16,35,41,70,90,176},{T^4,0,0,6*T^4,0,0,T^4,0,1,1,5,1+6*T^4,5,5+T^4,16,16,41,41,91},{0,0,0,0,0,0,0,0,0,1,0,1,5,5,15,16,35,41,90},{5*T^4,T^4,0,20*T^4,0,0,6*T^4,T^4,0,0,1,21*T^4,1,1+6*T^4,5,5+T^4,16,16,41},{0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,0,35,70},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,15,16,41},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,35},{0,0,0,T^4,0,0,0,0,0,0,0,T^4,0,0,1,1,5,5,16},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,15},{0,0,0,5*T^4,0,0,T^4,0,0,0,0,6*T^4,0,T^4,0,0,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,69)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -2, -2}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,2}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,0},{1,2},{1,0},{0,1}}
Theta-collection (18): {{2,6},{1,6},{2,5},{2,4},{1,5},{1,4},{2,3},{1,3},{0,4},{2,2},{0,3},{2,1},{1,2},{0,2},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,2,5,15,10,31,35,75,47,70,115,126,155,241,287,453,490,785},{0,1,0,0,5,15,0,35,31,0,75,0,70,155,126,287,210,490},{0,0,1,5,2,10,15,31,15,35,47,70,75,115,155,241,287,453},{0,0,0,1,0,2,5,10,3,15,15,35,31,47,75,115,155,241},{0,0,0,0,1,5,0,15,10,0,31,0,35,75,70,155,126,287},{0,0,0,0,0,1,0,5,2,0,10,0,15,31,35,75,70,155},{0,T^4,0,0,0,0,1,2,T^4,5,3,15,10,15,31,47,75,115},{0,0,0,0,0,0,0,1,0,0,2,0,5,10,15,31,35,75},{0,0,0,0,0,0,0,0,1,0,5,0,0,15,0,35,0,70},{0,5*T^4,0,0,T^4,0,0,0,5*T^4,1,T^4,5,2,3,10,15,31,47},{0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,15,0,35},{T^4,17*T^4,0,0,5*T^4,T^4,0,0,17*T^4,0,5*T^4,1,0,T^4,2,3,10,15},{0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,10,15,31},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15},{0,T^4,0,0,0,0,0,0,T^4,0,0,0,0,0,1,2,5,10},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5},{0,5*T^4,0,0,T^4,0,0,0,5*T^4,0,T^4,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,229)$ |
2 |
16 |
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8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 3 & 3 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 9 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones (16): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5, 6}, {0, 1, 2, 7}}
Chambers: ({{1,0},{0,1},{1,3}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{1,3},{1,3},{1,3},{1,0},{0,1}}
Theta-collection (22): {{3,12},{3,11},{3,10},{3,9},{2,9},{3,8},{2,8},{3,7},{2,7},{2,6},{1,6},{2,5},{1,5},{2,4},{1,4},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,4,10,20,23,35,47,56,86,144,150,225,249,333,393,592,602,856,896,1195,1295,1819},{0,1,4,10,10,20,23,35,47,86,86,144,150,225,249,393,393,592,602,856,896,1295},{0,0,1,4,4,10,10,20,23,47,47,86,86,144,150,249,249,393,393,592,602,896},{0,0,0,1,1,4,4,10,10,23,23,47,47,86,86,150,150,249,249,393,393,602},{0,0,0,0,1,0,4,0,10,20,23,35,47,56,86,144,150,225,249,333,393,592},{T^3,0,0,0,3*T^3,1,1,4,4,10,10+6*T^3,23,23,47,47,86,86+10*T^3,150,150,249,249,393},{0,0,0,0,0,0,1,0,4,10,10,20,23,35,47,86,86,144,150,225,249,393},{4*T^3,T^3,0,0,12*T^3,0,3*T^3,1,1,4,4+24*T^3,10,10+6*T^3,23,23,47,47+40*T^3,86,86+10*T^3,150,150,249},{0,0,0,0,0,0,0,0,1,4,4,10,10,20,23,47,47,86,86,144,150,249},{0,0,0,0,0,0,0,0,0,1,1,4,4,10,10,23,23,47,47,86,86,150},{0,0,0,0,0,0,0,0,0,0,1,0,4,0,10,20,23,35,47,56,86,144},{0,0,0,0,T^3,0,0,0,0,0,3*T^3,1,1,4,4,10,10+6*T^3,23,23,47,47,86},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,10,10,20,23,35,47,86},{0,0,0,0,4*T^3,0,T^3,0,0,0,12*T^3,0,3*T^3,1,1,4,4+24*T^3,10,10+6*T^3,23,23,47},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,10,10,20,23,47},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,10,10,23},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,10,20},{0,0,0,0,0,0,0,0,0,0,T^3,0,0,0,0,0,3*T^3,1,1,4,4,10},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,10},{0,0,0,0,0,0,0,0,0,0,4*T^3,0,T^3,0,0,0,12*T^3,0,3*T^3,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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|
$(6,682)$ |
2 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 1 & 2 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones (16): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5, 6}, {0, 1, 2, 7}}
Chambers: ({{1,0},{0,1},{1,1},{1,2}},{{1,3},{2,3},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{1,2},{1,1},{1,2},{1,0},{0,1}}
Theta-collection (20): {{3,8},{3,7},{2,7},{3,6},{2,6},{3,5},{2,5},{3,4},{1,5},{2,4},{1,4},{2,3},{1,3},{2,2},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,4,5,10,16,20,38,35,44,75,96,131,183,210,204,315,371,502,623,980},{0,1,1,4,5,10,16,20,17,38,44,75,96,131,102,183,204,315,371,623},{0,0,1,0,4,0,10,0,16,20,38,35,75,56,96,131,183,210,315,502},{0,0,0,1,1,4,5,10,5,16,17,38,44,75,45,96,102,183,204,371},{0,0,0,0,1,0,4,0,5,10,16,20,38,35,44,75,96,131,183,315},{0,0,2*T^3,0,0,1,1,4,1+3*T^3,5,5,16,17,38,17+4*T^3,44,45,96,102,204},{0,0,0,0,0,0,1,0,1,4,5,10,16,20,17,38,44,75,96,183},{T^3,0,9*T^3,0,2*T^3,0,0,1,14*T^3,1,1+3*T^3,5,5,16,5+19*T^3,17,17+4*T^3,44,45,102},{0,0,0,0,0,0,0,0,1,0,4,0,10,0,16,20,38,35,75,131},{0,0,0,0,0,0,0,0,0,1,1,4,5,10,5,16,17,38,44,96},{0,0,0,0,0,0,0,0,0,0,1,0,4,0,5,10,16,20,38,75},{0,0,T^3,0,0,0,0,0,2*T^3,0,0,1,1,4,1+3*T^3,5,5,16,17,44},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4,5,10,16,38},{0,0,4*T^3,0,T^3,0,0,0,9*T^3,0,2*T^3,0,0,1,14*T^3,1,1+3*T^3,5,5,17},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,10,20},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,5,16},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,10},{0,0,0,0,0,0,0,0,T^3,0,0,0,0,0,2*T^3,0,0,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
|
|
$(6,951)$ |
2 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 3 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones (16): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5, 6}, {0, 1, 2, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{1,0},{1,0},{1,1},{1,0},{0,1}}
Theta-collection (18): {{3,4},{2,4},{3,3},{1,4},{2,3},{3,2},{1,3},{2,2},{3,1},{0,3},{1,2},{2,1},{0,2},{2,0},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,3,4,6,13,10,27,34,20,46,73,70,127,125,154,273,280,504},{0,1,0,3,4,0,13,10,0,27,34,20,73,35,70,154,125,280},{0,0,1,0,3,4,6,13,10,10,27,34,46,70,73,127,154,273},{0,0,0,1,0,0,4,0,0,13,10,0,34,0,20,70,35,125},{0,0,0,0,1,0,3,4,0,6,13,10,27,20,34,73,70,154},{0,0,0,T^3,0,1,0,3,4,T^3,6,13,10,34,27,46,73,127},{0,0,0,0,0,0,1,0,0,3,4,0,13,0,10,34,20,70},{0,0,0,0,0,0,0,1,0,0,3,4,6,10,13,27,34,73},{0,T^3,0,7*T^3,0,0,T^3,0,1,7*T^3,0,3,T^3,13,6,10,27,46},{0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,10,0,20},{0,0,0,0,0,0,0,0,0,0,1,0,3,0,4,13,10,34},{0,0,0,T^3,0,0,0,0,0,T^3,0,1,0,4,3,6,13,27},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,10},{0,T^3,0,7*T^3,0,0,T^3,0,0,7*T^3,0,0,T^3,1,0,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,13},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4},{0,0,0,T^3,0,0,0,0,0,T^3,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
|
|
$(6,2353)$ |
2 |
15 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 2 & 2 & 2 & 2 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}4 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{2, 3, 4, 5, 6}, {0, 1, 7}}
Chambers: ({{1,0},{0,1},{1,2}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{1,2},{1,2},{1,2},{1,2},{1,0},{0,1}}
Theta-collection (19): {{4,10},{4,9},{4,8},{3,8},{4,7},{3,7},{3,6},{2,6},{3,5},{2,5},{2,4},{1,4},{2,3},{1,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,3,6,10,10,22,39,49,61,91,148,168,220,280,427,462,609,714,1036},{0,1,3,3,6,10,22,22,39,49,91,91,148,168,280,280,427,462,714},{0,0,1,1,3,3,10,10,22,22,49,49,91,91,168,168,280,280,462},{0,0,0,1,0,3,6,10,10,22,39,49,61,91,148,168,220,280,427},{T^2,0,0,4*T^2,1,1,3,3+10*T^2,10,10,22,22+20*T^2,49,49,91,91+35*T^2,168,168,280},{0,0,0,0,0,1,3,3,6,10,22,22,39,49,91,91,148,168,280},{0,0,0,0,0,0,1,1,3,3,10,10,22,22,49,49,91,91,168},{0,0,0,0,0,0,0,1,0,3,6,10,10,22,39,49,61,91,148},{0,0,0,T^2,0,0,0,4*T^2,1,1,3,3+10*T^2,10,10,22,22+20*T^2,49,49,91},{0,0,0,0,0,0,0,0,0,1,3,3,6,10,22,22,39,49,91},{0,0,0,0,0,0,0,0,0,0,1,1,3,3,10,10,22,22,49},{0,0,0,0,0,0,0,0,0,0,0,1,0,3,6,10,10,22,39},{0,0,0,0,0,0,0,T^2,0,0,0,4*T^2,1,1,3,3+10*T^2,10,10,22},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,6,10,22},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,10},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,T^2,0,0,0,4*T^2,1,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
|
|
$(6,5309)$ |
2 |
15 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}4 & 3 & 4 & 3 & 4 & 2 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{2, 3, 4, 5, 6}, {0, 1, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{1,1},{1,1},{1,0},{1,1},{1,0},{0,1}}
Theta-collection (18): {{4,5},{3,5},{4,4},{3,4},{4,3},{2,4},{3,3},{2,3},{3,2},{1,3},{2,2},{1,2},{2,1},{0,2},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,2,3,9,6,15,21,42,38,63,84,140,141,196,252,378,399,630},{0,1,0,3,0,9,6,21,10,42,38,84,60,140,141,252,213,399},{0,0,1,2,3,3,9,15,21,21,42,63,84,84,140,196,252,378},{0,0,0,1,0,2,3,9,6,15,21,42,38,63,84,140,141,252},{0,3*T^2,0,0,1,6*T^2,2,3,9,4+10*T^2,15,21,42,27+15*T^2,63,84,140,196},{0,0,0,0,0,1,0,3,0,9,6,21,10,42,38,84,60,141},{0,0,0,0,0,0,1,2,3,3,9,15,21,21,42,63,84,140},{0,0,0,0,0,0,0,1,0,2,3,9,6,15,21,42,38,84},{0,T^2,0,0,0,3*T^2,0,0,1,6*T^2,2,3,9,4+10*T^2,15,21,42,63},{0,0,0,0,0,0,0,0,0,1,0,3,0,9,6,21,10,38},{0,0,0,0,0,0,0,0,0,0,1,2,3,3,9,15,21,42},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,9,6,21},{0,0,0,0,0,T^2,0,0,0,3*T^2,0,0,1,6*T^2,2,3,9,15},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,9},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,T^2,0,0,0,3*T^2,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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|
$(6,7551)$ |
2 |
12 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
12: $\begin{pmatrix}5 & 5 & 4 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones (12): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}, {2, 3, 4, 5, 6, 7}}
Primitive collections: {{1, 2, 3, 4, 5, 6}, {0, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{1,1},{1,1},{1,1},{1,1},{1,1},{1,0},{0,1}}
Theta-collection (12): {{5,6},{5,5},{4,5},{4,4},{3,4},{3,3},{2,3},{2,2},{1,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,2,7,13,28,49,84,140,210,336,462,714},{0,1,1,7,7,28,28,84,84,210,210,462},{0,0,1,2,7,13,28,49,84,140,210,336},{0,0,0,1,1,7,7,28,28,84,84,210},{0,0,0,0,1,2,7,13,28,49,84,140},{0,0,0,0,0,1,1,7,7,28,28,84},{0,0,0,0,0,0,1,2,7,13,28,49},{0,0,0,0,0,0,0,1,1,7,7,28},{0,0,0,0,0,0,0,0,1,2,7,13},{0,0,0,0,0,0,0,0,0,1,1,7},{0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,1}}
|
|
$(6,7552)$ |
2 |
12 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 4 & 0 & 1\end{pmatrix}$
15: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 9 & 8 & 7 & 6 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, -1}, {1, 1, 1, 1, 1, -4}}
Cones (12): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}}
Primitive collections: {{5, 6}, {0, 1, 2, 3, 4, 7}}
Chambers: ({{1,0},{0,1},{1,4}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{0,1},{1,4},{1,0},{0,1}}
Theta-collection (15): {{1,9},{1,8},{1,7},{1,6},{1,5},{0,5},{1,4},{1,3},{0,4},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,6,21,56,126,127,252,462,258,483,792,848,1287,1413,2254},{0,1,6,21,56,56,126,252,127,258,462,483,792,848,1413},{0,0,1,6,21,21,56,126,56,127,252,258,462,483,848},{0,0,0,1,6,6,21,56,21,56,126,127,252,258,483},{0,0,0,0,1,1,6,21,6,21,56,56,126,127,258},{0,0,0,0,0,1,0,0,6,21,0,56,0,126,252},{0,0,0,0,0,0,1,6,1,6,21,21,56,56,127},{T^5,0,0,0,0,T^5,0,1,0,1,6,6,21,21,56},{0,0,0,0,0,0,0,0,1,6,0,21,0,56,126},{0,0,0,0,0,0,0,0,0,1,0,6,0,21,56},{6*T^5,T^5,0,0,0,6*T^5,0,0,T^5,0,1,1,6,6,21},{0,0,0,0,0,0,0,0,0,0,0,1,0,6,21},{21*T^5,6*T^5,T^5,0,0,21*T^5,0,0,6*T^5,T^5,0,0,1,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
|
|
$(6,7555)$ |
2 |
15 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 3 & 3 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -3}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,3}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,3},{1,3},{1,0},{0,1}}
Theta-collection (19): {{2,10},{2,9},{2,8},{2,7},{1,7},{2,6},{1,6},{2,5},{1,5},{2,4},{1,4},{0,4},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,5,15,35,37,70,80,126,156,210,280,283,470,485,747,792,1135,1240,1871},{0,1,5,15,15,35,37,70,80,126,156,156,280,283,470,485,747,792,1240},{0,0,1,5,5,15,15,35,37,70,80,80,156,156,280,283,470,485,792},{0,0,0,1,1,5,5,15,15,35,37,37,80,80,156,156,280,283,485},{0,0,0,0,1,0,5,0,15,0,35,37,70,80,126,156,210,280,470},{0,0,0,0,0,1,1,5,5,15,15,15,37,37,80,80,156,156,283},{0,0,0,0,0,0,1,0,5,0,15,15,35,37,70,80,126,156,280},{T^4,0,0,0,2*T^4,0,0,1,1,5,5,5+3*T^4,15,15,37,37,80,80,156},{0,0,0,0,0,0,0,0,1,0,5,5,15,15,35,37,70,80,156},{5*T^4,T^4,0,0,10*T^4,0,2*T^4,0,0,1,1,1+15*T^4,5,5+3*T^4,15,15,37,37,80},{0,0,0,0,0,0,0,0,0,0,1,1,5,5,15,15,35,37,80},{0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,0,35,70},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,15,15,37},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,35},{0,0,0,0,T^4,0,0,0,0,0,0,2*T^4,0,0,1,1,5,5,15},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,15},{0,0,0,0,5*T^4,0,T^4,0,0,0,0,10*T^4,0,2*T^4,0,0,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7558)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 2 & 0 & 1\end{pmatrix}$
17: $\begin{pmatrix}2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 4 & 5 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -2}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,1},{1,2}},{{1,3},{2,3},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,1},{1,2},{1,0},{0,1}}
Theta-collection (17): {{2,7},{2,6},{1,6},{2,5},{2,4},{1,5},{1,4},{2,3},{0,4},{2,2},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,5,6,15,35,21,55,70,61,126,120,141,231,286,406,526,897},{0,1,1,5,15,6,21,35,22,70,55,61,120,141,231,286,526},{0,0,1,0,0,5,15,0,21,0,35,55,70,120,126,231,406},{0,0,0,1,5,1,6,15,6,35,21,22,55,61,120,141,286},{0,0,0,0,1,0,1,5,1,15,6,6,21,22,55,61,141},{0,0,0,0,0,1,5,0,6,0,15,21,35,55,70,120,231},{0,0,0,0,0,0,1,0,1,0,5,6,15,21,35,55,120},{0,0,T^4,0,0,0,0,1,T^4,5,1,1,6,6,21,22,61},{0,0,0,0,0,0,0,0,1,0,0,5,0,15,0,35,70},{T^4,0,6*T^4,0,0,T^4,0,0,6*T^4,1,0,T^4,1,1,6,6,22},{0,0,0,0,0,0,0,0,0,0,1,1,5,6,15,21,55},{0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,35},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,6,21},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,15},{0,0,T^4,0,0,0,0,0,T^4,0,0,0,0,0,1,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7569)$ |
2 |
16 |
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8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 2 & 2 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 9 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones (16): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5, 6}, {0, 1, 2, 7}}
Chambers: ({{1,0},{0,1},{1,2}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{1,2},{1,2},{1,2},{1,0},{0,1}}
Theta-collection (19): {{3,9},{3,8},{3,7},{2,7},{3,6},{2,6},{3,5},{2,5},{1,5},{2,4},{1,4},{2,3},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,4,10,13,20,32,35,65,71,116,140,189,249,259,408,448,627,727,1116},{0,1,4,4,10,13,20,32,32,65,71,116,140,140,249,259,408,448,727},{0,0,1,1,4,4,10,13,13,32,32,65,71,71,140,140,249,259,448},{0,0,0,1,0,4,0,10,13,20,32,35,65,71,116,140,189,249,408},{0,0,0,0,1,1,4,4,4,13,13,32,32,32,71,71,140,140,259},{0,0,0,0,0,1,0,4,4,10,13,20,32,32,65,71,116,140,249},{T^3,0,0,3*T^3,0,0,1,1,1+6*T^3,4,4,13,13,13+10*T^3,32,32,71,71,140},{0,0,0,0,0,0,0,1,1,4,4,10,13,13,32,32,65,71,140},{0,0,0,0,0,0,0,0,1,0,4,0,10,13,20,32,35,65,116},{0,0,0,0,0,0,0,0,0,1,1,4,4,4,13,13,32,32,71},{0,0,0,0,0,0,0,0,0,0,1,0,4,4,10,13,20,32,65},{0,0,0,T^3,0,0,0,0,3*T^3,0,0,1,1,1+6*T^3,4,4,13,13,32},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,10,13,32},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,10,20},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,13},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,10},{0,0,0,0,0,0,0,0,T^3,0,0,0,0,3*T^3,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7577)$ |
2 |
16 |
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8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}3 & 2 & 3 & 2 & 3 & 1 & 3 & 2 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -1}}
Cones (16): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5, 6}, {0, 1, 2, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{1,1},{1,0},{1,1},{1,0},{0,1}}
Theta-collection (18): {{3,5},{2,5},{3,4},{2,4},{3,3},{1,4},{3,2},{2,3},{1,3},{2,2},{0,3},{2,1},{1,2},{0,2},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,2,4,10,10,16,20,28,49,60,70,110,112,168,215,336,368,594},{0,1,0,4,0,10,0,10,28,20,49,35,60,112,110,215,182,368},{0,0,1,2,4,3,10,10,16,28,22,60,49,70,112,168,215,336},{0,0,0,1,0,2,0,4,10,10,16,20,28,49,60,112,110,215},{0,0,0,0,1,0,4,2,3,10,4,28,16,22,49,70,112,168},{0,0,0,0,0,1,0,0,4,0,10,0,10,28,20,60,35,110},{0,2*T^3,0,0,0,3*T^3,1,0,0,2,4*T^3,10,3,4,16,22,49,70},{0,0,0,0,0,0,0,1,2,4,3,10,10,16,28,49,60,112},{0,0,0,0,0,0,0,0,1,0,2,0,4,10,10,28,20,60},{0,0,0,0,0,0,0,0,0,1,0,4,2,3,10,16,28,49},{0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,10,0,20},{0,T^3,0,0,0,2*T^3,0,0,0,0,3*T^3,1,0,0,2,3,10,16},{0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,10,10,28},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,10},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,10},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4},{0,0,0,0,0,T^3,0,0,0,0,2*T^3,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7596)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
15: $\begin{pmatrix}4 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{2, 3, 4, 5, 6}, {0, 1, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{1,1},{1,1},{1,1},{1,1},{1,0},{0,1}}
Theta-collection (15): {{4,6},{4,5},{3,5},{4,4},{3,4},{2,4},{3,3},{2,3},{1,3},{2,2},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,3,7,6,18,28,34,64,84,115,175,210,301,406,672},{0,1,1,3,7,7,18,28,28,64,84,84,175,210,406},{0,0,1,0,3,7,6,18,28,34,64,84,115,175,301},{0,0,0,1,1,1,7,7,7,28,28,28,84,84,210},{0,0,0,0,1,1,3,7,7,18,28,28,64,84,175},{0,0,0,0,0,1,0,3,7,6,18,28,34,64,115},{0,0,0,0,0,0,1,1,1,7,7,7,28,28,84},{0,0,0,0,0,0,0,1,1,3,7,7,18,28,64},{0,0,0,0,0,0,0,0,1,0,3,7,6,18,34},{0,0,0,0,0,0,0,0,0,1,1,1,7,7,28},{0,0,0,0,0,0,0,0,0,0,1,1,3,7,18},{0,0,0,0,0,0,0,0,0,0,0,1,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7610)$ |
2 |
12 |
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 0 & 1 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
14: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 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}, {-3, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (12): {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {2, 3, 4, 5, 6, 7}}
Chambers: ({{1,0},{0,1},{1,3}},{{1,2},{0,2}},{1,1})
Cox degrees: {{1,3},{1,0},{0,1},{0,1},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (14): {{1,8},{1,7},{1,6},{1,5},{0,5},{1,4},{1,3},{0,4},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,6,21,56,57,126,252,132,273,462,518,792,918,1539},{0,1,6,21,21,56,126,57,132,252,273,462,518,918},{0,0,1,6,6,21,56,21,57,126,132,252,273,518},{0,0,0,1,1,6,21,6,21,56,57,126,132,273},{0,0,0,0,1,0,0,6,21,0,56,0,126,252},{0,0,0,0,0,1,6,1,6,21,21,56,57,132},{0,0,0,0,0,0,1,0,1,6,6,21,21,57},{0,0,0,0,0,0,0,1,6,0,21,0,56,126},{0,0,0,0,0,0,0,0,1,0,6,0,21,56},{T^5,0,0,0,T^5,0,0,0,0,1,1,6,6,21},{0,0,0,0,0,0,0,0,0,0,1,0,6,21},{6*T^5,T^5,0,0,6*T^5,0,0,T^5,0,0,0,1,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7611)$ |
2 |
12 |
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 1 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
13: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 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}, {-2, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (12): {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {2, 3, 4, 5, 6, 7}}
Chambers: ({{1,0},{0,1},{1,2}},{{1,2},{0,2}},{1,1})
Cox degrees: {{1,2},{1,0},{0,1},{0,1},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (13): {{1,7},{1,6},{1,5},{0,5},{1,4},{1,3},{0,4},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,6,21,22,56,126,62,147,252,308,462,588,1044},{0,1,6,6,21,56,22,62,126,147,252,308,588},{0,0,1,1,6,21,6,22,56,62,126,147,308},{0,0,0,1,0,0,6,21,0,56,0,126,252},{0,0,0,0,1,6,1,6,21,22,56,62,147},{0,0,0,0,0,1,0,1,6,6,21,22,62},{0,0,0,0,0,0,1,6,0,21,0,56,126},{0,0,0,0,0,0,0,1,0,6,0,21,56},{0,0,0,0,0,0,0,0,1,1,6,6,22},{0,0,0,0,0,0,0,0,0,1,0,6,21},{T^5,0,0,T^5,0,0,0,0,0,0,1,1,6},{0,0,0,0,0,0,0,0,0,0,0,1,6},{0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7612)$ |
2 |
12 |
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
12: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{1, 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}, {-1, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (12): {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {2, 3, 4, 5, 6, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{1,1},{1,0},{0,1},{0,1},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (12): {{1,6},{1,5},{0,5},{1,4},{1,3},{0,4},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,6,7,21,56,27,77,126,182,252,378,714},{0,1,1,6,21,7,27,56,77,126,182,378},{0,0,1,0,0,6,21,0,56,0,126,252},{0,0,0,1,6,1,7,21,27,56,77,182},{0,0,0,0,1,0,1,6,7,21,27,77},{0,0,0,0,0,1,6,0,21,0,56,126},{0,0,0,0,0,0,1,0,6,0,21,56},{0,0,0,0,0,0,0,1,1,6,7,27},{0,0,0,0,0,0,0,0,1,0,6,21},{0,0,0,0,0,0,0,0,0,1,1,7},{0,0,0,0,0,0,0,0,0,0,1,6},{0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7613)$ |
2 |
12 |
|
|
8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
12: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 2 & 3 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{1, 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, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (12): {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {2, 3, 4, 5, 6, 7}}
Chambers: ({{1,0},{0,1}},{{0,1}},{1,1})
Cox degrees: {{1,0},{1,0},{0,1},{0,1},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (12): {{1,5},{0,5},{1,4},{0,4},{1,3},{1,2},{0,3},{0,2},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,2,6,12,21,56,42,112,126,252,252,504},{0,1,0,6,0,0,21,56,0,126,0,252},{0,0,1,2,6,21,12,42,56,112,126,252},{0,0,0,1,0,0,6,21,0,56,0,126},{0,0,0,0,1,6,2,12,21,42,56,112},{0,0,0,0,0,1,0,2,6,12,21,42},{0,0,0,0,0,0,1,6,0,21,0,56},{0,0,0,0,0,0,0,1,0,6,0,21},{0,0,0,0,0,0,0,0,1,2,6,12},{0,0,0,0,0,0,0,0,0,1,0,6},{0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,1}}
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|
$(6,7614)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 2 & 0 & 1\end{pmatrix}$
17: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -2}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,2}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,2},{1,2},{1,0},{0,1}}
Theta-collection (17): {{2,8},{2,7},{2,6},{1,6},{2,5},{1,5},{2,4},{1,4},{2,3},{0,4},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,5,15,17,35,45,70,100,126,103,196,211,350,395,582,687,1125},{0,1,5,5,15,17,35,45,70,45,100,103,196,211,350,395,687},{0,0,1,1,5,5,15,17,35,17,45,45,100,103,196,211,395},{0,0,0,1,0,5,0,15,0,17,35,45,70,100,126,196,350},{0,0,0,0,1,1,5,5,15,5,17,17,45,45,100,103,211},{0,0,0,0,0,1,0,5,0,5,15,17,35,45,70,100,196},{0,0,0,0,0,0,1,1,5,1,5,5,17,17,45,45,103},{0,0,0,0,0,0,0,1,0,1,5,5,15,17,35,45,100},{T^4,0,0,2*T^4,0,0,0,0,1,3*T^4,1,1,5,5,17,17,45},{0,0,0,0,0,0,0,0,0,1,0,5,0,15,0,35,70},{0,0,0,0,0,0,0,0,0,0,1,1,5,5,15,17,45},{0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15,35},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,17},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,15},{0,0,0,T^4,0,0,0,0,0,2*T^4,0,0,0,0,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7615)$ |
2 |
15 |
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8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 1 & 0 & 2 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 3 & 4 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-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, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -1}}
Cones (15): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{4, 5, 6}, {0, 1, 2, 3, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{0,1},{1,0},{1,1},{1,0},{0,1}}
Theta-collection (16): {{2,5},{1,5},{2,4},{1,4},{2,3},{1,3},{0,4},{2,2},{0,3},{2,1},{1,2},{0,2},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,2,5,11,15,35,17,35,56,70,85,140,175,295,322,553},{0,1,0,5,0,15,11,0,35,0,35,85,70,175,126,322},{0,0,1,2,5,11,3,15,17,35,35,56,85,140,175,295},{0,0,0,1,0,5,2,0,11,0,15,35,35,85,70,175},{0,0,0,0,1,2,0,5,3,15,11,17,35,56,85,140},{0,0,0,0,0,1,0,0,2,0,5,11,15,35,35,85},{0,0,0,0,0,0,1,0,5,0,0,15,0,35,0,70},{0,0,0,0,0,0,0,1,0,5,2,3,11,17,35,56},{0,0,0,0,0,0,0,0,1,0,0,5,0,15,0,35},{0,T^4,0,0,0,0,T^4,0,0,1,0,0,2,3,11,17},{0,0,0,0,0,0,0,0,0,0,1,2,5,11,15,35},{0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,15},{0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,11},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5},{0,T^4,0,0,0,0,T^4,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7616)$ |
2 |
16 |
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8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-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, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -1}}
Cones (16): {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5, 6}, {0, 1, 2, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{0,1},{0,1},{0,1},{1,1},{1,1},{1,1},{1,0},{0,1}}
Theta-collection (16): {{3,6},{3,5},{2,5},{3,4},{2,4},{3,3},{1,4},{2,3},{1,3},{2,2},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,4,7,10,22,20,28,50,74,95,84,155,195,281,381,662},{0,1,1,4,7,10,7,22,28,50,28,74,84,155,195,381},{0,0,1,0,4,0,7,10,22,20,28,50,74,95,155,281},{0,0,0,1,1,4,1,7,7,22,7,28,28,74,84,195},{0,0,0,0,1,0,1,4,7,10,7,22,28,50,74,155},{0,0,0,0,0,1,0,1,1,7,1,7,7,28,28,84},{0,0,0,0,0,0,1,0,4,0,7,10,22,20,50,95},{0,0,0,0,0,0,0,1,1,4,1,7,7,22,28,74},{0,0,0,0,0,0,0,0,1,0,1,4,7,10,22,50},{0,0,0,0,0,0,0,0,0,1,0,1,1,7,7,28},{0,0,0,0,0,0,0,0,0,0,1,0,4,0,10,20},{0,0,0,0,0,0,0,0,0,0,0,1,1,4,7,22},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,10},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7618)$ |
2 |
15 |
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8: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
15: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-1, 0, 0, 0, 0, 0}, {1, 1, 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, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (15): {{0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{0, 1, 2}, {3, 4, 5, 6, 7}}
Chambers: ({{1,0},{0,1},{1,1}},{{1,2},{0,2}},{1,1})
Cox degrees: {{1,1},{1,1},{1,0},{0,1},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (15): {{2,6},{2,5},{1,5},{2,4},{1,4},{2,3},{0,4},{2,2},{1,3},{0,3},{1,2},{0,2},{1,1},{0,1},{0,0}}
Ext matrix: {{1,5,7,15,25,35,28,70,65,80,140,185,266,371,672},{0,1,1,5,7,15,7,35,25,28,65,80,140,185,371},{0,0,1,0,5,0,7,0,15,25,35,65,70,140,266},{0,0,0,1,1,5,1,15,7,7,25,28,65,80,185},{0,0,0,0,1,0,1,0,5,7,15,25,35,65,140},{0,0,0,0,0,1,0,5,1,1,7,7,25,28,80},{0,0,0,0,0,0,1,0,0,5,0,15,0,35,70},{0,0,0,0,0,0,0,1,0,0,1,1,7,7,28},{0,0,0,0,0,0,0,0,1,1,5,7,15,25,65},{0,0,0,0,0,0,0,0,0,1,0,5,0,15,35},{0,0,0,0,0,0,0,0,0,0,1,1,5,7,25},{0,0,0,0,0,0,0,0,0,0,0,1,0,5,15},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(6,7619)$ |
2 |
15 |
|
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8: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
15: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Details:
Rays (8): {{-1, 0, 0, 0, 0, 0}, {1, 1, 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, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (15): {{0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}}
Primitive collections: {{0, 1, 2}, {3, 4, 5, 6, 7}}
Chambers: ({{1,0},{0,1}},{{0,1}},{1,1})
Cox degrees: {{1,0},{1,0},{1,0},{0,1},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (15): {{2,4},{1,4},{2,3},{0,4},{1,3},{2,2},{0,3},{2,1},{1,2},{0,2},{2,0},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,3,5,6,15,15,30,35,45,90,70,105,210,210,420},{0,1,0,3,5,0,15,0,15,45,0,35,105,70,210},{0,0,1,0,3,5,6,15,15,30,35,45,90,105,210},{0,0,0,1,0,0,5,0,0,15,0,0,35,0,70},{0,0,0,0,1,0,3,0,5,15,0,15,45,35,105},{0,0,0,0,0,1,0,5,3,6,15,15,30,45,90},{0,0,0,0,0,0,1,0,0,5,0,0,15,0,35},{0,0,0,0,0,0,0,1,0,0,5,3,6,15,30},{0,0,0,0,0,0,0,0,1,3,0,5,15,15,45},{0,0,0,0,0,0,0,0,0,1,0,0,5,0,15},{0,0,0,0,0,0,0,0,0,0,1,0,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,1,3,5,15},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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|
$(6,7620)$ |
2 |
16 |
|
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8: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 0 & 1 & 3 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 3 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones (16): {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}}
Primitive collections: {{0, 1, 2, 3}, {4, 5, 6, 7}}
Chambers: ({{1,0},{0,1}},{{0,1}},{1,1})
Cox degrees: {{1,0},{1,0},{1,0},{1,0},{0,1},{0,1},{0,1},{0,1}}
Theta-collection (16): {{3,3},{2,3},{3,2},{1,3},{2,2},{3,1},{0,3},{1,2},{3,0},{2,1},{0,2},{2,0},{1,1},{0,1},{1,0},{0,0}}
Ext matrix: {{1,4,4,10,16,10,20,40,20,40,80,80,100,200,200,400},{0,1,0,4,4,0,10,16,0,10,40,20,40,100,80,200},{0,0,1,0,4,4,0,10,10,16,20,40,40,80,100,200},{0,0,0,1,0,0,4,4,0,0,16,0,10,40,20,80},{0,0,0,0,1,0,0,4,0,4,10,10,16,40,40,100},{0,0,0,0,0,1,0,0,4,4,0,16,10,20,40,80},{0,0,0,0,0,0,1,0,0,0,4,0,0,10,0,20},{0,0,0,0,0,0,0,1,0,0,4,0,4,16,10,40},{0,0,0,0,0,0,0,0,1,0,0,4,0,0,10,20},{0,0,0,0,0,0,0,0,0,1,0,4,4,10,16,40},{0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,10},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,10},{0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,16},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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