|
$(4,38)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & -2 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
19: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 0 & -1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & -1 & 2 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 2, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 9
Cox degrees: {{-1,0,1,0},{1,-2,-1,1},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (19): {{1,2,0,1},{1,1,0,1},{1,0,0,1},{1,-1,0,1},{0,2,1,0},{0,2,0,1},{0,1,1,0},{1,2,0,0},{0,1,0,1},{0,0,1,0},{1,1,0,0},{0,0,0,1},{0,-1,1,0},{1,0,0,0},{0,-1,0,1},{1,-1,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,3,6,10,6,7,10,7,13,15,13,21,21,21,31,31,28,44,64},{0,1,3,6,3,3,6,3,7,10,7,13,15,13,21,21,16,28,44},{0,0,1,3,1,1,3,1,3,6,3,7,10,7,13,13,8,16,28},{T^2,0,0,1,0,T^2,1,T^2,1,3,1,3,6,3,7,7,3+T^2,8,16},{0,0,0,0,1,1,3,1,3,6,3,6,10,6,10,10,8,16,27},{0,0,0,0,0,1,0,0,3,0,0,6,0,0,10,0,7,13,21},{0,0,0,0,0,0,1,0,1,3,1,3,6,3,6,6,3,8,16},{0,0,0,0,0,0,0,1,0,0,3,0,0,6,0,10,7,13,21},{0,0,0,0,0,0,0,0,1,0,0,3,0,0,6,0,3,7,13},{0,0,0,0,0,0,0,0,0,1,0,1,3,1,3,3,1,3,8},{0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,6,3,7,13},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,3,7},{0,0,0,0,T^2,T^2,0,T^2,0,0,0,0,1,0,1,1,2*T^2,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,1,3,7},{0,0,0,0,0,T^2,0,0,0,0,0,0,0,0,1,0,T^2,1,3},{0,0,0,0,0,0,0,T^2,0,0,0,0,0,0,0,1,T^2,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{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}}
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$(4,39)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & -1 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 0 & 2 & -1 & 2 & 1 & 0 & 1 & 2 & 0 & -1 & 1 & -1 & 0 & 2 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 1, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 13
Cox degrees: {{-1,-1,1,0},{1,-1,-1,1},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{1,1,0,1},{1,0,0,1},{0,2,1,0},{1,-1,0,1},{0,2,0,1},{0,1,1,0},{0,0,1,0},{0,1,0,1},{1,2,0,0},{0,0,0,1},{0,-1,1,0},{1,1,0,0},{0,-1,0,1},{1,0,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,3,6,3,10,4,6,10,9,7,16,15,13,25,21,20,34,52},{0,1,3,1,6,1,3,6,4,3,9,10,7,16,13,10,20,34},{0,0,1,0,3,0,1,3,1,1,4,6,3,9,7,4,10,20},{0,0,0,1,0,1,3,6,3,3,6,10,6,10,10,10,19,31},{T^2,0,0,0,1,T^2,0,1,0,T^2,1,3,1,4,3,1+T^2,4,10},{0,0,0,0,0,1,0,0,3,0,6,0,0,10,0,7,13,21},{0,0,0,0,0,0,1,3,1,1,3,6,3,6,6,4,10,19},{0,0,0,0,0,0,0,1,0,0,1,3,1,3,3,1,4,10},{0,0,0,0,0,0,0,0,1,0,3,0,0,6,0,3,7,13},{0,0,0,0,0,0,0,0,0,1,0,0,3,0,6,4,9,16},{0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,3,7},{0,0,0,T^2,0,T^2,0,0,0,0,0,1,0,1,1,T^2,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,1,4,9},{0,0,0,0,0,T^2,0,0,0,0,0,0,0,1,0,T^2,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,40)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 1 & 2 & 0 & 0 & 1 & -1 & 2 & 0 & -1 & -1 & 1 & 0 & 2 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 8
Cox degrees: {{-1,-2,1,0},{1,0,-1,1},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{0,2,1,0},{1,1,0,1},{0,1,1,0},{0,2,0,1},{1,0,0,1},{0,0,1,0},{0,1,0,1},{1,-1,0,1},{1,2,0,0},{0,0,0,1},{0,-1,1,0},{0,-1,0,1},{1,1,0,0},{1,0,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,3,2,6,6,6,10,7,12,10,20,13,21,14,26,42},{0,1,0,3,1,0,6,3,0,6,6,10,10,10,15,13,23,36},{0,0,1,1,0,3,3,2,6,3,6,6,12,7,13,6,14,26},{0,0,0,1,0,0,3,1,0,3,3,6,6,6,10,6,13,23},{0,0,0,0,1,0,0,3,0,0,6,0,10,0,0,7,13,21},{0,0,0,0,0,1,1,0,3,1,2,3,6,3,7,2,6,14},{0,0,0,0,0,0,1,0,0,1,1,3,3,3,6,2,6,13},{0,0,0,0,0,0,0,1,0,0,3,0,6,0,0,3,7,13},{T^2,T^2,0,0,2*T^2,0,0,0,1,T^2,0,1,2,1,3,2*T^2,2,6},{0,0,0,0,0,0,0,0,0,1,0,0,0,3,6,2,6,12},{0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,3,7},{0,T^2,0,0,T^2,0,0,0,0,0,0,1,1,1,3,T^2,2,6},{0,0,0,0,T^2,0,0,0,0,0,0,0,1,0,0,T^2,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,2,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,41)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & -1 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
15: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 0 & 2 & 2 & 2 & 1 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 1, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 9
Cox degrees: {{-1,0,1,0},{1,-1,-1,1},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (15): {{1,2,0,1},{1,1,0,1},{1,0,0,1},{0,2,1,0},{0,2,0,1},{1,2,0,0},{0,1,1,0},{0,1,0,1},{1,1,0,0},{0,0,1,0},{0,0,0,1},{1,0,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,3,6,3,4,4,6,9,9,10,16,16,13,25,41},{0,1,3,1,1,1,3,4,4,6,9,9,5,13,25},{0,0,1,0,0,0,1,1,1,3,4,4,1,5,13},{0,0,0,1,1,1,3,3,3,6,6,6,5,12,22},{0,0,0,0,1,0,0,3,0,0,6,0,4,9,16},{0,0,0,0,0,1,0,0,3,0,0,6,4,9,16},{0,0,0,0,0,0,1,1,1,3,3,3,1,5,12},{0,0,0,0,0,0,0,1,0,0,3,0,1,4,9},{0,0,0,0,0,0,0,0,1,0,0,3,1,4,9},{0,0,0,0,0,0,0,0,0,1,1,1,0,1,5},{0,0,0,0,0,0,0,0,0,0,1,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{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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$(4,42)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
15: $\begin{pmatrix}1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 0 & 0 & 1 & 2 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 8
Cox degrees: {{-1,-1,1,0},{1,0,-1,1},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (15): {{1,2,0,1},{0,2,1,0},{1,1,0,1},{0,1,1,0},{0,2,0,1},{1,0,0,1},{0,1,0,1},{1,2,0,0},{0,0,1,0},{0,0,0,1},{1,1,0,0},{0,2,0,0},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,3,2,6,6,4,6,12,9,8,16,18,32},{0,1,0,3,1,0,3,3,6,6,6,7,10,15,26},{0,0,1,1,0,3,2,1,3,6,4,2,9,8,18},{0,0,0,1,0,0,1,1,3,3,3,2,6,7,15},{0,0,0,0,1,0,3,0,0,6,0,4,0,9,16},{0,0,0,0,0,1,0,0,1,2,1,0,4,2,8},{0,0,0,0,0,0,1,0,0,3,0,1,0,4,9},{0,0,0,0,0,0,0,1,0,0,3,2,6,6,12},{0,0,0,0,0,0,0,0,1,1,1,0,3,2,7},{0,0,0,0,0,0,0,0,0,1,0,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,1,0,3,2,6},{0,0,0,0,0,0,0,0,0,0,0,1,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{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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$(4,43)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & -1 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
17: $\begin{pmatrix}1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & -1 & 1 & 0 & -1 & 0 & 2 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, -1, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 17
Cox degrees: {{-1,-1,1,0},{1,0,-1,1},{1,-1,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (17): {{1,2,0,1},{0,2,1,0},{1,1,0,1},{0,1,1,0},{0,2,0,1},{1,0,0,1},{1,2,0,0},{0,1,0,1},{0,0,1,0},{1,-1,0,1},{1,1,0,0},{0,0,0,1},{0,-1,1,0},{1,0,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,3,4,6,4,9,6,10,9,16,10,16,13,25,41},{0,1,0,3,1,0,3,3,6,0,6,6,10,10,10,19,31},{0,0,1,1,1,3,1,4,3,6,4,9,6,9,5,13,25},{0,0,0,1,0,0,1,1,3,0,3,3,6,6,4,10,19},{0,0,0,0,1,0,0,3,0,0,0,6,0,0,4,9,16},{0,0,0,0,0,1,0,1,1,3,1,4,3,4,1,5,13},{0,0,0,0,0,0,1,0,0,0,3,0,0,6,4,9,16},{0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,4,9},{0,0,0,0,0,0,0,0,1,0,1,1,3,3,1,4,10},{T^2,T^2,0,0,T^2,0,T^2,0,0,1,0,1,1,1,T^2,1,5},{0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,4,9},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,4},{0,T^2,0,0,T^2,0,0,0,0,0,0,0,1,1,T^2,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,44)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -2 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & -1 & 0 & 1 & 0 & -1 & 0 & -1 & 2 & 1 & 0 \\ 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, -2, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 10
Cox degrees: {{-1,0,1,0},{1,0,-1,1},{1,-2,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{1,1,0,1},{0,2,1,0},{1,2,0,0},{1,0,0,1},{0,1,1,0},{0,2,0,1},{1,1,0,0},{1,-1,0,1},{0,0,1,0},{0,1,0,1},{1,0,0,0},{0,-1,1,0},{0,0,0,1},{1,-1,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,3,1,2,6,3,7,6,10,6,13,12,10,21,20,14,26,42},{0,1,0,0,3,1,3,2,6,3,7,6,6,13,12,6,14,26},{0,0,1,1,0,3,1,3,0,6,3,6,10,6,10,8,16,27},{0,0,0,1,0,0,0,3,0,0,0,6,0,0,10,7,13,21},{0,0,0,0,1,0,1,0,3,1,3,2,3,7,6,2,6,14},{0,0,0,0,0,1,0,1,0,3,1,3,6,3,6,3,8,16},{0,0,0,0,0,0,1,0,0,0,3,0,0,6,0,2,6,12},{0,0,0,0,0,0,0,1,0,0,0,3,0,0,6,3,7,13},{T^2,0,T^2,2*T^2,0,0,T^2,0,1,0,1,0,1,3,2,2*T^2,2,6},{0,0,0,0,0,0,0,0,0,1,0,1,3,1,3,1,3,8},{0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,2,6},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,3,7},{0,0,T^2,T^2,0,0,T^2,0,0,0,0,0,1,0,1,2*T^2,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2},{0,0,0,T^2,0,0,0,0,0,0,0,0,0,0,1,T^2,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,45)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
15: $\begin{pmatrix}1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 5
Cox degrees: {{-1,0,1,0},{1,0,-1,1},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (15): {{1,2,0,1},{0,2,1,0},{1,1,0,1},{0,1,1,0},{0,2,0,1},{1,2,0,0},{1,0,0,1},{0,1,0,1},{1,1,0,0},{0,0,1,0},{0,0,0,1},{1,0,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,3,2,2,6,6,6,6,12,12,4,12,24},{0,1,0,3,1,1,0,3,3,6,6,6,3,9,18},{0,0,1,1,0,0,3,2,2,3,6,6,0,4,12},{0,0,0,1,0,0,0,1,1,3,3,3,0,3,9},{0,0,0,0,1,0,0,3,0,0,6,0,2,6,12},{0,0,0,0,0,1,0,0,3,0,0,6,2,6,12},{0,0,0,0,0,0,1,0,0,1,2,2,0,0,4},{0,0,0,0,0,0,0,1,0,0,3,0,0,2,6},{0,0,0,0,0,0,0,0,1,0,0,3,0,2,6},{0,0,0,0,0,0,0,0,0,1,1,1,0,0,3},{0,0,0,0,0,0,0,0,0,0,1,0,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{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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$(4,46)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 1 & 0 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
15: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 2 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, -1, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 10
Cox degrees: {{-1,0,1,0},{1,0,-1,1},{1,-1,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (15): {{1,2,0,1},{0,2,1,0},{1,1,0,1},{1,2,0,0},{0,1,1,0},{0,2,0,1},{1,0,0,1},{1,1,0,0},{0,0,1,0},{0,1,0,1},{1,0,0,0},{0,2,0,0},{0,0,0,1},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,2,3,4,6,6,6,9,12,8,16,18,32},{0,1,0,1,3,1,0,3,6,3,6,5,6,12,22},{0,0,1,0,1,1,3,2,3,4,6,2,9,8,18},{0,0,0,1,0,0,0,3,0,0,6,4,0,9,16},{0,0,0,0,1,0,0,1,3,1,3,1,3,5,12},{0,0,0,0,0,1,0,0,0,3,0,2,6,6,12},{0,0,0,0,0,0,1,0,1,1,2,0,4,2,8},{0,0,0,0,0,0,0,1,0,0,3,1,0,4,9},{0,0,0,0,0,0,0,0,1,0,1,0,1,1,5},{0,0,0,0,0,0,0,0,0,1,0,0,3,2,6},{0,0,0,0,0,0,0,0,0,0,1,0,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,1,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{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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$(4,47)$ |
4 |
15 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 1 & -1 & 0 \\ 1 & -1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 1 & 2 & 2 & 0 & 1 & 0 & 1 & -1 & 0 & -1 & 0 & 2 & 1 & 0 \\ 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, -1, -1, -1}, {-1, 0, 0, 0}, {-1, 1, 0, 0}}
Cones (15): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 7}, {2, 3, 4, 6}, {2, 3, 5, 6}, {2, 4, 5, 6}, {3, 4, 6, 7}, {3, 5, 6, 7}, {4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {1, 6}, {0, 7}, {2, 7}}
Chambers: 18
Cox degrees: {{-1,0,1,0},{1,0,-1,1},{1,-1,0,0},{0,1,0,0},{0,1,0,0},{0,1,0,0},{0,-1,0,1},{0,0,1,-1}}
Theta-collection (16): {{0,2,1,0},{1,1,0,1},{0,1,1,0},{0,2,0,1},{1,2,0,0},{1,0,0,1},{0,1,0,1},{0,0,1,0},{1,1,0,0},{1,-1,0,1},{0,0,0,1},{0,-1,1,0},{1,0,0,0},{0,2,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,0,3,1,1,0,3,6,3,0,6,10,6,7,15,26},{0,1,1,1,1,3,4,3,4,6,9,6,9,5,13,25},{0,0,1,0,0,0,1,3,1,0,3,6,3,2,7,15},{0,0,0,1,0,0,3,0,0,0,6,0,0,4,9,16},{0,0,0,0,1,0,0,0,3,0,0,0,6,4,9,16},{0,0,0,0,0,1,1,1,1,3,4,3,4,1,5,13},{0,0,0,0,0,0,1,0,0,0,3,0,0,1,4,9},{0,0,0,0,0,0,0,1,0,0,1,3,1,0,2,7},{0,0,0,0,0,0,0,0,1,0,0,0,3,1,4,9},{T^2,0,0,T^2,T^2,0,0,0,0,1,1,1,1,T^2,1,5},{0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,4},{T^2,0,0,T^2,T^2,0,0,0,0,0,0,1,0,T^2,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,48)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ -1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {1, 0, -1, 0}, {0, 0, 0, 1}, {1, 0, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 4
Cox degrees: {{-1,-1,-1,1},{1,0,0,0},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,0,1,1},{0,1,1,1},{1,1,0,1},{1,0,0,1},{0,0,1,1},{0,1,0,1},{0,0,0,1},{1,1,1,0},{1,1,0,0},{0,1,1,0},{1,0,1,0},{1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,2,4,4,4,8,9,14,14,14,22,22,22,35},{0,1,0,0,2,2,0,4,4,6,6,9,14,9,14,22},{0,0,1,0,0,2,2,4,4,6,9,6,9,14,14,22},{0,0,0,1,2,0,2,4,4,9,6,6,14,14,9,22},{0,0,0,0,1,0,0,2,2,4,3,4,9,6,6,14},{0,0,0,0,0,1,0,2,2,3,4,4,6,6,9,14},{0,0,0,0,0,0,1,2,2,4,4,3,6,9,6,14},{0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,9},{0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,8},{0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,4},{0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,49)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & -1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {1, -1, -1, 0}, {0, 0, 0, 1}, {1, -1, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 6
Cox degrees: {{-1,0,0,1},{1,0,0,0},{1,-1,-1,0},{0,1,0,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,0,1,1},{1,1,0,1},{1,0,0,1},{0,1,1,1},{0,1,0,1},{1,1,1,0},{0,0,1,1},{0,0,0,1},{1,0,1,0},{1,1,0,0},{1,0,0,0},{0,1,1,0},{0,1,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,4,5,8,6,8,13,10,10,17,19,28,28,42},{0,1,0,2,2,3,2,5,8,6,3,10,10,14,19,28},{0,0,1,2,2,5,2,3,8,3,6,10,10,19,14,28},{0,0,0,1,1,2,1,2,5,2,2,6,6,10,10,19},{0,0,0,0,1,2,1,2,4,2,2,4,6,10,10,17},{0,0,0,0,0,1,0,0,2,0,1,2,2,6,3,10},{0,0,0,0,0,0,1,0,0,2,2,4,5,8,8,13},{0,0,0,0,0,0,0,1,2,1,0,2,2,3,6,10},{0,0,0,0,0,0,0,0,1,0,0,1,1,2,2,6},{0,0,0,0,0,0,0,0,0,1,0,2,2,3,5,8},{0,0,0,0,0,0,0,0,0,0,1,2,2,5,3,8},{0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,5},{0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,50)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {1, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 1, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 6
Cox degrees: {{-1,-1,0,1},{1,0,0,0},{1,0,0,0},{0,1,-1,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{0,1,1,1},{1,1,0,1},{0,1,0,1},{1,0,1,1},{1,0,0,1},{0,0,1,1},{0,0,0,1},{1,1,1,0},{1,1,0,0},{0,1,1,0},{1,0,1,0},{0,1,0,0},{1,0,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,4,3,5,6,10,7,12,11,15,19,23,24,37},{0,1,0,2,0,0,3,5,3,5,7,6,12,9,15,23},{0,0,1,2,1,3,2,6,2,7,3,7,11,15,11,24},{0,0,0,1,0,0,1,3,1,3,2,3,7,6,7,15},{0,0,0,0,1,2,2,4,2,4,3,7,6,12,11,19},{0,0,0,0,0,1,0,2,0,2,0,2,3,7,3,11},{0,0,0,0,0,0,1,2,1,2,2,3,4,5,7,12},{0,0,0,0,0,0,0,1,0,1,0,1,2,3,2,7},{0,0,0,0,0,0,0,0,1,2,2,3,4,5,6,10},{0,0,0,0,0,0,0,0,0,1,0,1,2,3,2,6},{0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,51)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {1, -1, -1, 0}, {0, 0, 0, 1}, {0, 0, 1, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 8
Cox degrees: {{-1,0,0,1},{1,0,0,0},{1,-1,0,0},{0,1,-1,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,1,0,1},{1,0,1,1},{1,0,0,1},{0,1,1,1},{0,1,0,1},{1,1,1,0},{1,1,0,0},{0,0,1,1},{0,0,0,1},{1,0,1,0},{0,1,1,0},{1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,3,5,4,7,5,9,9,14,12,14,19,23,28,42},{0,1,1,3,1,4,1,5,4,9,5,5,12,14,14,28},{0,0,1,2,1,2,1,2,4,7,5,5,9,9,14,23},{0,0,0,1,0,1,0,1,1,4,1,1,5,5,5,14},{0,0,0,0,1,2,1,2,3,5,3,5,5,9,12,19},{0,0,0,0,0,1,0,1,1,3,1,1,3,5,5,12},{0,0,0,0,0,0,1,2,0,0,3,4,5,7,9,14},{0,0,0,0,0,0,0,1,0,0,1,1,3,4,4,9},{0,0,0,0,0,0,0,0,1,2,1,1,2,2,5,9},{0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,7},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,5},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,52)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & -1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, -1, -1, 0}, {0, 0, 0, 1}, {0, -1, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 3
Cox degrees: {{0,0,0,1},{1,0,0,0},{1,-1,-1,0},{0,1,0,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,0,1,1},{1,1,1,0},{1,1,0,1},{1,0,0,1},{1,1,0,0},{1,0,1,0},{0,1,1,1},{1,0,0,0},{0,0,1,1},{0,1,1,0},{0,1,0,1},{0,0,0,1},{0,1,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,2,4,4,4,5,8,8,10,8,13,16,16,26},{0,1,0,0,2,0,2,2,4,5,4,3,8,6,10,16},{0,0,1,0,0,2,2,0,4,0,5,0,0,8,8,13},{0,0,0,1,2,2,0,2,4,3,4,5,8,10,6,16},{0,0,0,0,1,0,0,1,2,2,2,2,5,4,4,10},{0,0,0,0,0,1,0,0,2,0,2,0,0,5,3,8},{0,0,0,0,0,0,1,0,2,0,2,0,0,3,5,8},{0,0,0,0,0,0,0,1,0,2,2,2,4,4,4,8},{0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,5},{0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,4},{0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,53)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, -1, -1, 0}, {0, 0, 0, 1}, {0, 0, 1, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 4
Cox degrees: {{0,0,0,1},{1,0,0,0},{1,-1,0,0},{0,1,-1,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,1,0,1},{1,1,1,0},{1,0,1,1},{1,1,0,0},{0,1,1,1},{1,0,1,0},{1,0,0,1},{0,1,0,1},{1,0,0,0},{0,1,1,0},{0,0,1,1},{0,1,0,0},{0,0,0,1},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,3,4,4,6,5,7,10,8,9,14,14,18,28},{0,1,0,1,2,1,2,3,4,6,2,4,8,9,8,18},{0,0,1,0,2,0,3,0,0,5,4,0,7,0,9,14},{0,0,0,1,0,1,2,2,2,4,2,4,4,7,8,14},{0,0,0,0,1,0,1,0,0,3,1,0,4,0,4,9},{0,0,0,0,0,1,0,0,2,0,2,3,4,5,6,10},{0,0,0,0,0,0,1,0,0,2,1,0,2,0,4,7},{0,0,0,0,0,0,0,1,1,2,0,1,2,4,2,8},{0,0,0,0,0,0,0,0,1,0,0,1,2,3,2,6},{0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,54)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 1, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 4
Cox degrees: {{-1,0,0,1},{1,0,0,0},{1,0,0,0},{0,1,-1,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{0,1,1,1},{1,1,0,1},{0,1,0,1},{1,1,1,0},{1,0,1,1},{1,1,0,0},{0,1,1,0},{1,0,0,1},{0,0,1,1},{0,0,0,1},{1,0,1,0},{0,1,0,0},{1,0,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,4,3,3,6,5,5,6,10,9,10,15,15,25},{0,1,0,2,1,0,2,3,0,3,5,3,6,5,9,15},{0,0,1,2,0,1,3,0,3,2,6,3,5,9,5,15},{0,0,0,1,0,0,1,0,0,1,3,1,3,3,3,9},{0,0,0,0,1,0,2,2,0,0,0,3,4,5,6,10},{0,0,0,0,0,1,0,0,2,2,4,3,0,6,5,10},{0,0,0,0,0,0,1,0,0,0,0,1,2,3,2,6},{0,0,0,0,0,0,0,1,0,0,0,0,2,0,3,5},{0,0,0,0,0,0,0,0,1,0,2,0,0,3,0,5},{0,0,0,0,0,0,0,0,0,1,2,1,0,2,3,6},{0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,55)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 1
Cox degrees: {{0,0,0,1},{1,0,0,0},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,0,1,1},{0,1,1,1},{1,1,1,0},{1,1,0,1},{0,0,1,1},{0,1,0,1},{0,1,1,0},{1,0,1,0},{1,1,0,0},{1,0,0,1},{0,0,0,1},{0,0,1,0},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,2,2,2,2,4,4,4,4,4,4,8,8,8,8,16},{0,1,0,0,0,2,0,0,2,0,2,4,4,4,0,8},{0,0,1,0,0,2,2,2,0,0,0,4,4,0,4,8},{0,0,0,1,0,0,0,2,2,2,0,0,4,4,4,8},{0,0,0,0,1,0,2,0,0,2,2,4,0,4,4,8},{0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,4},{0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,4},{0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,4},{0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,4},{0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,4},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,56)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 1, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 2
Cox degrees: {{0,0,0,1},{1,0,0,0},{1,0,0,0},{0,1,-1,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{0,1,1,1},{1,1,1,0},{1,1,0,1},{0,1,0,1},{0,1,1,0},{1,0,1,1},{1,1,0,0},{0,1,0,0},{0,0,1,1},{1,0,1,0},{1,0,0,1},{0,0,0,1},{1,0,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,2,4,4,3,4,8,6,6,5,10,10,12,20},{0,1,0,0,2,2,0,0,4,3,0,0,5,0,6,10},{0,0,1,0,0,2,0,2,4,0,3,0,0,5,6,10},{0,0,0,1,2,0,1,2,4,2,2,3,6,6,4,12},{0,0,0,0,1,0,0,0,2,1,0,0,3,0,2,6},{0,0,0,0,0,1,0,0,2,0,0,0,0,0,3,5},{0,0,0,0,0,0,1,0,0,2,2,2,4,4,4,8},{0,0,0,0,0,0,0,1,2,0,1,0,0,3,2,6},{0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,1,0,0,2,0,2,4},{0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,57)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {1, -1, -1, 0}, {0, 0, 0, 1}, {0, 1, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 8
Cox degrees: {{-1,0,0,1},{1,0,-1,0},{1,-1,0,0},{0,1,0,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,0,1,1},{1,1,0,1},{0,1,1,1},{1,0,0,1},{1,1,1,0},{0,0,1,1},{0,1,0,1},{1,1,0,0},{1,0,1,0},{0,0,0,1},{1,0,0,0},{0,1,1,0},{0,1,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,4,4,5,7,7,9,9,12,16,14,23,23,37},{0,1,0,1,2,1,4,2,2,5,7,9,5,9,14,23},{0,0,1,1,2,1,2,4,5,2,7,9,5,14,9,23},{0,0,0,1,0,1,2,2,2,2,4,4,5,9,9,16},{0,0,0,0,1,0,1,1,1,1,4,5,1,5,5,14},{0,0,0,0,0,1,0,0,2,2,0,4,4,7,7,12},{0,0,0,0,0,0,1,0,0,1,2,2,1,2,5,9},{0,0,0,0,0,0,0,1,1,0,2,2,1,5,2,9},{0,0,0,0,0,0,0,0,1,0,0,2,1,4,2,7},{0,0,0,0,0,0,0,0,0,1,0,2,1,2,4,7},{0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,58)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, -1, -1, 0}, {0, 0, 0, 1}, {0, 1, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 4
Cox degrees: {{0,0,0,1},{1,0,-1,0},{1,-1,0,0},{0,1,0,0},{0,1,0,0},{0,0,1,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (16): {{1,1,1,1},{1,1,1,0},{1,0,1,1},{1,1,0,1},{1,0,1,0},{1,1,0,0},{0,1,1,1},{1,0,0,1},{0,1,1,0},{1,0,0,0},{0,0,1,1},{0,1,0,1},{0,0,1,0},{0,1,0,0},{0,0,0,1},{0,0,0,0}}
Ext matrix: {{1,2,2,2,4,4,4,4,8,8,7,7,14,14,12,24},{0,1,0,0,2,2,0,0,4,4,0,0,7,7,0,12},{0,0,1,0,2,0,1,2,2,4,4,2,8,4,7,14},{0,0,0,1,0,2,1,2,2,4,2,4,4,8,7,14},{0,0,0,0,1,0,0,0,1,2,0,0,4,2,0,7},{0,0,0,0,0,1,0,0,1,2,0,0,2,4,0,7},{0,0,0,0,0,0,1,0,2,0,2,2,4,4,4,8},{0,0,0,0,0,0,0,1,0,2,1,1,2,2,4,8},{0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,4},{0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,4},{0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,4},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,59)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 & -1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {-1, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 1, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 8
Cox degrees: {{-1,0,1,0},{1,0,0,0},{1,0,0,0},{0,-1,0,1},{0,0,0,1},{0,1,0,0},{0,1,0,0},{0,0,1,-1}}
Theta-collection (16): {{1,1,1,1},{1,0,1,1},{0,1,1,1},{1,1,1,0},{0,0,1,1},{1,1,0,1},{1,0,1,0},{0,1,1,0},{1,0,0,1},{0,0,1,0},{0,1,0,1},{1,1,0,0},{0,0,0,1},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,2,2,3,4,5,5,6,9,10,9,12,16,19,21,33},{0,1,0,1,2,1,3,2,5,6,2,5,9,12,9,21},{0,0,1,0,2,1,0,3,2,5,5,3,9,5,12,19},{0,0,0,1,0,1,2,2,2,4,2,5,4,9,9,16},{0,0,0,0,1,0,0,1,1,3,1,1,5,3,5,12},{0,0,0,0,0,1,0,0,2,0,2,3,4,5,6,10},{0,0,0,0,0,0,1,0,1,2,0,1,2,5,2,9},{0,0,0,0,0,0,0,1,0,2,1,1,2,2,5,9},{0,0,0,0,0,0,0,0,1,0,0,1,2,3,2,6},{0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,1,0,2,0,3,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,60)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {1, 0, -1, 0}, {0, 0, 0, 1}, {-1, 0, 0, -1}, {-1, 0, 0, 0}}
Cones (16): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 3, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 5, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{1, 2}, {3, 4}, {5, 6}, {0, 7}}
Chambers: 6
Cox degrees: {{-1,-1,1,0},{1,0,0,0},{1,0,0,0},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,0,1},{0,0,1,-1}}
Theta-collection (16): {{1,1,1,1},{0,1,1,1},{1,0,1,1},{1,1,1,0},{0,0,1,1},{0,1,1,0},{1,0,1,0},{1,1,0,1},{0,0,1,0},{1,0,0,1},{0,1,0,1},{1,1,0,0},{0,0,0,1},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,2,2,2,4,4,4,6,8,10,10,11,17,18,18,30},{0,1,0,0,2,2,0,2,4,3,6,4,10,6,11,18},{0,0,1,0,2,0,2,2,4,6,3,4,10,11,6,18},{0,0,0,1,0,2,2,1,4,2,2,6,4,10,10,17},{0,0,0,0,1,0,0,1,2,2,2,2,6,4,4,11},{0,0,0,0,0,1,0,0,2,0,1,2,2,3,6,10},{0,0,0,0,0,0,1,0,2,1,0,2,2,6,3,10},{0,0,0,0,0,0,0,1,0,2,2,2,4,4,4,8},{0,0,0,0,0,0,0,0,1,0,0,1,1,2,2,6},{0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,4},{0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,4},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,61)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & -1 & 0 & 0 & 0 & 0 \\ -2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 2 & 0 & 2 & -1 & -1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 1, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 10
Cox degrees: {{0,-2,1,0},{1,0,0,0},{1,0,0,0},{-1,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,1,0,1},{0,1,0,1},{1,0,1,0},{0,0,1,0},{1,0,0,1},{1,2,0,0},{0,0,0,1},{0,2,0,0},{1,-1,1,0},{0,-1,1,0},{1,1,0,0},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,2,3,4,7,7,10,10,8,16,12,16,22,20,29,40,56},{0,1,1,2,1,4,4,7,4,4,10,8,10,16,11,20,24,40},{0,0,1,2,1,2,4,7,4,4,7,7,10,16,11,18,24,37},{0,0,0,1,0,1,1,4,1,1,4,4,4,10,4,11,11,24},{0,0,0,0,1,2,2,3,4,2,7,3,7,10,8,12,20,29},{0,0,0,0,0,1,1,2,1,1,4,2,4,7,4,8,11,20},{0,0,0,0,0,0,1,2,1,1,2,2,4,7,4,7,11,18},{0,0,0,0,0,0,0,1,0,0,1,1,1,4,1,4,4,11},{0,0,0,0,0,0,0,0,1,0,2,0,2,3,2,3,8,12},{0,0,0,0,0,0,0,0,0,1,0,2,0,0,4,7,10,16},{0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,4,8},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,4,4,10},{0,T^2,0,0,0,0,0,0,0,0,0,T^2,1,2,1,2,4,7},{T^3,0,0,0,0,0,0,0,0,T^3,0,0,0,1,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,62)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 2 & 0 & -1 & -1 & 2 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 9
Cox degrees: {{-1,-2,1,0},{1,0,0,0},{1,0,0,0},{0,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,1,0,1},{0,1,0,1},{1,0,1,0},{1,0,0,1},{0,0,1,0},{1,2,0,0},{0,0,0,1},{1,-1,1,0},{0,-1,1,0},{0,2,0,0},{1,1,0,0},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,1,2,3,6,3,6,6,7,12,6,12,11,15,24,26,42},{0,1,0,1,0,3,0,0,3,3,6,0,6,7,6,15,10,26},{0,0,1,2,1,2,3,3,6,6,6,6,12,9,13,20,23,36},{0,0,0,1,0,1,0,0,3,3,3,0,6,6,6,13,10,23},{0,0,0,0,1,2,1,3,2,2,6,3,6,3,7,11,15,24},{0,0,0,0,0,1,0,0,1,1,3,0,3,2,3,7,6,15},{0,0,0,0,0,0,1,1,2,2,2,3,6,3,6,9,13,20},{0,0,0,0,0,0,0,1,0,0,2,1,2,0,2,3,7,11},{0,0,0,0,0,0,0,0,1,1,1,0,3,2,3,6,6,13},{0,0,0,0,0,0,0,0,0,1,0,0,0,2,3,6,6,12},{0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,3,7},{T^2,2*T^2,0,0,0,0,0,0,0,T^2,0,1,2,2*T^2,2,3,6,9},{0,T^2,0,0,0,0,0,0,0,0,0,0,1,T^2,1,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,63)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & -1 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 2 & 1 & 1 & 0 & 2 & 1 & 0 & 2 & 1 & -1 & 0 & 1 & 0 & -1 & 2 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 1, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 16
Cox degrees: {{-1,-1,1,0},{1,-1,0,0},{1,0,0,0},{0,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{1,1,1,0},{1,1,0,1},{1,0,1,0},{0,2,0,1},{0,1,1,0},{1,0,0,1},{1,2,0,0},{0,1,0,1},{1,-1,1,0},{0,0,1,0},{1,1,0,0},{0,0,0,1},{0,-1,1,0},{0,2,0,0},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,3,4,4,6,5,9,6,9,12,16,16,14,22,28,47},{0,1,1,3,1,4,3,4,4,6,9,10,9,16,11,19,23,40},{0,0,1,1,1,1,3,1,4,3,4,5,9,9,5,12,14,28},{0,0,0,1,0,1,1,1,1,3,4,4,4,9,4,10,11,23},{0,0,0,0,1,1,0,1,3,0,3,3,6,6,5,6,12,22},{0,0,0,0,0,1,0,1,1,0,3,3,3,6,4,6,10,19},{0,0,0,0,0,0,1,0,1,1,1,1,4,4,1,5,5,14},{0,0,0,0,0,0,0,1,0,0,0,3,0,0,4,6,9,16},{0,0,0,0,0,0,0,0,1,0,1,1,3,3,1,3,5,12},{T^2,0,0,0,T^2,0,0,T^2,0,1,1,1,1,4,1+T^2,4,4,11},{0,0,0,0,0,0,0,0,0,0,1,1,1,3,1,3,4,10},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3,4,9},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,5},{0,0,0,0,T^2,0,0,0,0,0,0,0,0,1,T^2,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,64)$ |
4 |
16 |
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8: $\begin{pmatrix}-2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 & 0 & 0 & 0 & -1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 2 & 2 & 0 & 0 & -1 & -1 & 1 & 1 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 1, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 10
Cox degrees: {{-2,1,0,0},{0,0,1,0},{0,0,1,0},{1,-1,0,1},{1,0,0,0},{1,0,0,0},{0,0,0,1},{0,1,-1,-1}}
Theta-collection (18): {{2,0,1,1},{1,1,1,0},{2,0,0,1},{1,1,0,0},{1,0,1,1},{1,0,0,1},{0,1,1,0},{0,1,0,0},{2,0,1,0},{2,0,0,0},{0,0,1,1},{0,0,0,1},{-1,1,1,0},{-1,1,0,0},{1,0,1,0},{1,0,0,0},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,1,2,2,4,7,4,7,5,9,10,16,10,16,14,23,30,46},{0,1,0,2,2,3,4,7,4,7,7,10,10,16,12,19,27,40},{0,0,1,1,1,4,1,4,1,5,4,10,4,10,5,14,14,30},{0,0,0,1,1,2,1,4,1,4,4,7,4,10,5,12,14,27},{0,0,0,0,1,2,1,2,1,2,4,7,4,7,5,9,14,23},{0,0,0,0,0,1,0,1,0,1,1,4,1,4,1,5,5,14},{0,0,0,0,0,0,1,2,1,2,2,3,4,7,4,7,12,19},{0,0,0,0,0,0,0,1,0,1,1,2,1,4,1,4,5,12},{0,0,0,0,0,0,0,0,1,2,0,0,0,0,4,7,10,16},{0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,4,4,10},{0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,2,5,9},{0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,5},{T^2,0,2*T^2,0,0,0,0,0,T^2,2*T^2,0,0,1,2,1,2,4,7},{0,0,T^2,0,0,0,0,0,0,T^2,0,0,0,1,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,65)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & -1 & 0 & 0 & 0 \\ -2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 2 & 0 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 1}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 12
Cox degrees: {{0,-2,1,0},{1,0,0,0},{1,0,0,0},{0,1,-1,1},{-1,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,1,0,1},{0,1,0,1},{1,0,1,0},{1,2,0,0},{0,0,1,0},{1,0,0,1},{0,2,0,0},{0,0,0,1},{1,-1,1,0},{1,1,0,0},{0,-1,1,0},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,1,2,4,7,4,5,7,10,9,16,10,14,16,23,30,46},{0,1,0,1,1,4,1,1,4,4,5,10,4,5,10,14,14,30},{0,0,1,2,1,2,4,4,7,4,7,7,10,11,16,18,24,37},{0,0,0,1,0,1,1,1,4,1,4,4,4,4,10,11,11,24},{0,0,0,0,1,2,1,1,2,4,2,7,4,5,7,9,14,23},{0,0,0,0,0,1,0,0,1,1,1,4,1,1,4,5,5,14},{0,0,0,0,0,0,1,1,2,1,2,2,4,4,7,7,11,18},{0,0,0,0,0,0,0,1,0,0,2,0,0,4,0,7,10,16},{0,0,0,0,0,0,0,0,1,0,1,1,1,1,4,4,4,11},{0,0,0,0,0,0,0,0,0,1,0,2,1,1,2,2,5,9},{0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,4,4,10},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,5},{0,T^2,0,0,0,0,0,0,0,0,T^2,0,1,1,2,2,4,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,4,7},{T^3,0,0,0,0,0,0,T^3,0,0,0,0,0,0,1,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,66)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & -1 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 1, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 9
Cox degrees: {{0,-1,1,0},{1,0,0,0},{1,0,0,0},{-1,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (16): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,2,0,0},{1,1,0,1},{0,2,0,0},{0,1,0,1},{1,0,1,0},{0,0,1,0},{1,1,0,0},{1,0,0,1},{0,0,0,1},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,2,3,3,4,5,7,7,10,11,10,16,17,26,38},{0,1,1,2,1,1,3,4,4,7,5,4,10,11,14,26},{0,0,1,2,1,1,2,2,4,7,5,4,7,9,14,23},{0,0,0,1,0,0,1,1,1,4,1,1,4,5,5,14},{0,0,0,0,1,0,2,0,0,0,4,0,0,7,10,16},{0,0,0,0,0,1,0,2,2,3,3,4,7,5,11,17},{0,0,0,0,0,0,1,0,0,0,1,0,0,4,4,10},{0,0,0,0,0,0,0,1,1,2,1,1,4,3,5,11},{0,0,0,0,0,0,0,0,1,2,1,1,2,2,5,9},{0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,1,0,0,2,4,7},{0,0,0,0,0,0,0,0,0,0,0,1,2,0,3,5},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,67)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 2 & -1 & 2 & 0 & -1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 6
Cox degrees: {{0,-2,1,0},{1,0,0,0},{1,0,0,0},{0,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (18): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,1,0,1},{0,1,0,1},{1,0,1,0},{0,0,1,0},{1,0,0,1},{1,2,0,0},{1,-1,1,0},{0,2,0,0},{0,0,0,1},{0,-1,1,0},{1,1,0,0},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,1,2,3,6,3,6,6,4,6,8,12,12,9,18,16,32},{0,1,0,1,0,3,0,3,0,0,0,4,6,6,0,9,0,16},{0,0,1,2,1,2,3,6,3,3,6,6,6,12,7,14,13,26},{0,0,0,1,0,1,0,3,0,0,0,3,3,6,0,7,0,13},{0,0,0,0,1,2,1,2,3,1,3,2,6,6,4,8,9,18},{0,0,0,0,0,1,0,1,0,0,0,1,3,3,0,4,0,9},{0,0,0,0,0,0,1,2,1,1,3,2,2,6,3,6,7,14},{0,0,0,0,0,0,0,1,0,0,0,1,1,3,0,3,0,7},{0,0,0,0,0,0,0,0,1,0,1,0,2,2,1,2,4,8},{0,0,0,0,0,0,0,0,0,1,0,2,0,0,3,6,6,12},{T^2,2*T^2,0,0,0,0,0,0,0,T^2,1,2*T^2,0,2,1,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,4},{0,T^2,0,0,0,0,0,0,0,0,0,T^2,0,1,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,68)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & -1 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & -1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
17: $\begin{pmatrix}1 & 1 & 0 & 2 & 1 & 2 & 0 & -1 & 1 & 1 & 0 & 0 & 2 & -1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 1, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 15
Cox degrees: {{-1,0,1,0},{-1,1,0,0},{0,1,0,0},{1,0,-1,1},{1,0,0,0},{1,0,0,0},{0,-1,0,1},{0,0,1,-1}}
Theta-collection (17): {{1,1,1,0},{1,1,0,1},{0,1,1,0},{2,0,0,1},{1,0,1,0},{2,1,0,0},{0,1,0,1},{-1,1,1,0},{1,0,0,1},{1,1,0,0},{0,0,1,0},{0,0,0,1},{2,0,0,0},{-1,0,1,0},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,1,4,2,3,6,4,7,9,9,8,16,15,19,35},{0,1,1,1,1,1,3,3,4,5,4,9,5,9,12,14,28},{0,0,1,0,1,0,1,3,1,2,4,4,2,9,7,8,19},{0,0,0,1,1,1,0,0,3,3,3,6,5,6,6,12,22},{0,0,0,0,1,0,0,0,1,1,3,3,2,6,3,7,15},{0,0,0,0,0,1,0,0,0,3,0,0,4,0,6,9,16},{0,0,0,0,0,0,1,1,1,1,1,4,1,4,5,5,14},{0,0,0,T^2,0,T^2,0,1,0,0,1,1,T^2,4,2,2,8},{0,0,0,0,0,0,0,0,1,1,1,3,1,3,3,5,12},{0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,4,9},{0,0,0,0,0,0,0,0,0,0,1,1,0,3,1,2,7},{0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,6},{0,0,0,T^2,0,T^2,0,0,0,0,0,0,T^2,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,69)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 & 0 & 0 & 0 & -1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 1, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 8
Cox degrees: {{-1,1,0,0},{0,0,1,0},{0,0,1,0},{1,-1,0,1},{1,0,0,0},{1,0,0,0},{0,0,0,1},{0,1,-1,-1}}
Theta-collection (16): {{2,0,1,1},{1,1,1,0},{2,0,0,1},{1,1,0,0},{2,0,1,0},{1,0,1,1},{2,0,0,0},{0,1,1,0},{1,0,0,1},{0,1,0,0},{1,0,1,0},{0,0,1,1},{1,0,0,0},{0,0,0,1},{0,0,1,0},{0,0,0,0}}
Ext matrix: {{1,1,2,2,2,4,4,4,7,7,8,10,14,16,20,32},{0,1,0,2,1,2,2,4,3,7,6,7,10,10,17,26},{0,0,1,1,0,1,2,1,4,4,2,4,8,10,8,20},{0,0,0,1,0,1,1,1,2,4,2,4,6,7,8,17},{0,0,0,0,1,0,2,0,0,0,4,0,7,0,10,16},{0,0,0,0,0,1,0,1,2,2,2,4,4,7,8,14},{0,0,0,0,0,0,1,0,0,0,1,0,4,0,4,10},{0,0,0,0,0,0,0,1,0,2,1,2,2,3,6,10},{0,0,0,0,0,0,0,0,1,1,0,1,2,4,2,8},{0,0,0,0,0,0,0,0,0,1,0,1,1,2,2,6},{0,0,0,0,0,0,0,0,0,0,1,0,2,0,4,7},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,70)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 2 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 8
Cox degrees: {{-1,-1,1,0},{1,0,0,0},{1,0,0,0},{0,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (16): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,1,0,1},{0,1,0,1},{1,0,1,0},{1,2,0,0},{1,0,0,1},{0,0,1,0},{0,2,0,0},{0,0,0,1},{1,1,0,0},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,1,2,3,6,3,3,6,6,5,12,9,15,18,30},{0,1,0,1,0,3,0,1,0,3,3,6,3,9,6,18},{0,0,1,2,1,2,3,2,3,6,3,6,7,11,15,24},{0,0,0,1,0,1,0,1,0,3,2,3,3,7,6,15},{0,0,0,0,1,2,1,0,3,2,0,6,3,5,9,15},{0,0,0,0,0,1,0,0,0,1,0,3,1,3,3,9},{0,0,0,0,0,0,1,0,1,2,0,2,2,3,7,11},{0,0,0,0,0,0,0,1,0,0,2,0,3,6,6,12},{0,0,0,0,0,0,0,0,1,0,0,2,0,0,3,5},{0,0,0,0,0,0,0,0,0,1,0,1,1,2,3,7},{0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,6},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,71)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & -1 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
17: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 1 & 2 & 2 & 0 & 1 & 1 & 0 & 1 & -1 & 2 & 0 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 1, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 12
Cox degrees: {{0,-1,1,0},{1,-1,0,0},{1,0,0,0},{0,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (17): {{1,2,0,1},{1,1,1,0},{1,1,0,1},{1,2,0,0},{0,2,0,1},{1,0,1,0},{0,1,1,0},{1,1,0,0},{1,0,0,1},{0,1,0,1},{1,-1,1,0},{0,2,0,0},{0,0,1,0},{1,0,0,0},{0,0,0,1},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,2,4,3,4,6,6,9,6,8,9,12,16,18,32},{0,1,1,1,1,3,4,4,3,4,6,5,9,9,9,13,25},{0,0,1,0,1,1,1,2,3,4,3,2,4,6,9,8,18},{0,0,0,1,0,0,0,3,0,0,0,4,0,6,0,9,16},{0,0,0,0,1,0,1,0,0,3,0,2,3,0,6,6,12},{0,0,0,0,0,1,1,1,1,1,3,1,4,4,4,5,13},{0,0,0,0,0,0,1,0,0,1,0,1,3,0,3,4,9},{0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,4,9},{0,0,0,0,0,0,0,0,1,1,1,0,1,2,4,2,8},{0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,2,6},{T^2,0,0,T^2,T^2,0,0,0,0,0,1,T^2,1,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,72)$ |
4 |
16 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & -1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 10
Cox degrees: {{-1,0,1,0},{0,1,0,0},{0,1,0,0},{1,0,-1,1},{1,0,0,0},{1,0,0,0},{0,-1,0,1},{0,0,1,-1}}
Theta-collection (16): {{2,1,0,1},{1,1,1,0},{2,0,0,1},{1,1,0,1},{1,0,1,0},{2,1,0,0},{0,1,1,0},{1,0,0,1},{2,0,0,0},{0,1,0,1},{0,0,1,0},{1,1,0,0},{0,0,0,1},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,2,3,2,3,3,6,5,6,6,9,12,15,18,30},{0,1,0,1,2,1,3,2,2,3,6,5,6,9,12,21},{0,0,1,0,1,1,0,3,3,0,3,3,6,9,6,18},{0,0,0,1,0,0,1,2,0,3,2,3,6,5,9,15},{0,0,0,0,1,0,0,1,1,0,3,1,3,5,3,12},{0,0,0,0,0,1,0,0,2,0,0,3,0,6,6,12},{0,0,0,0,0,0,1,0,0,1,2,1,2,2,5,9},{0,0,0,0,0,0,0,1,0,0,1,1,3,3,3,9},{0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,6},{0,0,0,0,0,0,0,0,0,1,0,0,2,0,3,5},{0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,73)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 5
Cox degrees: {{0,-1,1,0},{1,0,0,0},{1,0,0,0},{0,1,-1,1},{0,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (16): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{0,1,1,0},{1,2,0,0},{1,1,0,1},{0,2,0,0},{1,0,1,0},{0,1,0,1},{0,0,1,0},{1,1,0,0},{1,0,0,1},{0,0,0,1},{0,1,0,0},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,1,2,2,3,4,3,6,6,6,6,12,12,12,24},{0,1,0,1,0,0,2,0,3,3,0,0,6,6,0,12},{0,0,1,2,1,1,2,3,2,6,4,3,6,8,9,18},{0,0,0,1,0,0,1,0,1,3,0,0,3,4,0,9},{0,0,0,0,1,0,2,0,0,0,3,0,0,6,6,12},{0,0,0,0,0,1,0,1,2,2,2,3,6,4,6,12},{0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,6},{0,0,0,0,0,0,0,1,0,2,1,1,2,2,4,8},{0,0,0,0,0,0,0,0,1,1,0,0,3,2,0,6},{0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,4},{0,0,0,0,0,0,0,0,0,0,1,0,0,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,74)$ |
4 |
16 |
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & -1 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, 0, 1}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 10
Cox degrees: {{0,-1,1,0},{1,0,0,0},{1,0,0,0},{0,1,-1,1},{-1,1,0,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (16): {{1,2,0,1},{0,2,0,1},{1,1,1,0},{1,2,0,0},{0,1,1,0},{1,1,0,1},{0,2,0,0},{1,0,1,0},{0,1,0,1},{1,1,0,0},{0,0,1,0},{1,0,0,1},{0,1,0,0},{0,0,0,1},{1,0,0,0},{0,0,0,0}}
Ext matrix: {{1,2,1,2,2,4,4,4,7,8,7,10,14,16,20,32},{0,1,0,0,1,1,2,1,4,2,4,4,8,10,8,20},{0,0,1,1,2,1,2,4,2,5,7,4,9,7,14,23},{0,0,0,1,0,0,2,0,0,4,0,0,7,0,10,16},{0,0,0,0,1,0,1,1,1,1,4,1,5,4,5,14},{0,0,0,0,0,1,0,1,2,2,2,4,4,7,8,14},{0,0,0,0,0,0,1,0,0,1,0,0,4,0,4,10},{0,0,0,0,0,0,0,1,0,1,2,1,2,2,5,9},{0,0,0,0,0,0,0,0,1,0,1,1,2,4,2,8},{0,0,0,0,0,0,0,0,0,1,0,0,2,0,4,7},{0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,4},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,75)$ |
4 |
16 |
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8: $\begin{pmatrix}-2 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & -1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 1 & 2 & 1 & 0 & 0 & 1 & 2 & 0 & -1 & 0 & 2 & 1 & -1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {2, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (16): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 5, 6}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 5, 6}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5}, {0, 6}, {3, 6}, {0, 7}, {4, 5, 7}}
Chambers: 12
Cox degrees: {{-2,0,1,0},{0,1,0,0},{0,1,0,0},{1,0,-1,1},{1,0,0,0},{1,0,0,0},{0,-1,0,1},{0,0,1,-1}}
Theta-collection (18): {{2,1,0,1},{1,1,1,0},{1,1,0,1},{2,0,0,1},{1,0,1,0},{0,1,1,0},{0,1,0,1},{1,0,0,1},{2,1,0,0},{0,0,1,0},{-1,1,1,0},{0,0,0,1},{2,0,0,0},{1,1,0,0},{-1,0,1,0},{1,0,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,3,2,2,3,6,6,5,6,6,12,9,12,12,21,22,38},{0,1,1,0,2,3,3,2,3,6,6,6,6,8,12,15,16,29},{0,0,1,0,0,1,3,2,1,2,3,6,2,5,6,9,12,21},{0,0,0,1,1,0,0,3,1,3,0,6,5,3,6,12,6,22},{0,0,0,0,1,0,0,1,0,3,0,3,3,1,6,8,3,16},{0,0,0,0,0,1,1,0,1,2,3,2,2,3,6,6,8,15},{0,0,0,0,0,0,1,0,0,0,1,2,0,1,2,2,5,9},{0,0,0,0,0,0,0,1,0,1,0,3,1,1,3,5,3,12},{0,0,0,0,0,0,0,0,1,0,0,0,2,3,0,6,6,12},{0,0,0,0,0,0,0,0,0,1,0,1,1,0,3,3,1,8},{T^2,0,0,2*T^2,0,0,0,0,2*T^2,0,1,0,3*T^2,1,2,2,3,6},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,6},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,6},{0,0,0,T^2,0,0,0,0,T^2,0,0,0,2*T^2,0,1,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,76)$ |
4 |
17 |
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8: $\begin{pmatrix}1 & 1 & 1 & -1 & 0 & -1 & 0 & 0 \\ 0 & -1 & -1 & 1 & 0 & 1 & 0 & 1 \\ 0 & 1 & 1 & 0 & 1 & -1 & 0 & -1 \\ 0 & 1 & 1 & -1 & 0 & 0 & 1 & -1\end{pmatrix}$
21: $\begin{pmatrix}2 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 1 & -1 & -1 & 0 & 0 & 1 & 2 & 1 & 1 & 0 & 0 & 1 & 0 \\ -1 & 0 & 1 & -1 & -1 & -1 & 0 & 0 & 0 & 2 & 1 & 1 & 1 & -1 & -1 & -1 & 0 & 0 & 0 & -1 & 0 \\ 2 & 1 & 0 & 2 & 1 & 2 & 1 & 1 & 0 & -1 & 0 & -1 & 0 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 1 & -1 & 0 & 0 & -1 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 1, 1}, {0, 0, 1, 0}, {0, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 0, -1}, {-1, 0, 0, 0}}
Cones (17): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 2, 3, 5}, {1, 2, 3, 7}, {1, 2, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 4}, {3, 4}, {1, 2, 6}, {5, 6}, {0, 7}, {3, 5, 7}}
Chambers: 19
Cox degrees: {{1,0,0,0},{1,-1,1,1},{1,-1,1,1},{-1,1,0,-1},{0,0,1,0},{-1,1,-1,0},{0,0,0,1},{0,1,-1,-1}}
Theta-collection (21): {{2,-1,2,2},{1,0,1,1},{0,1,0,0},{1,-1,2,2},{2,-1,1,2},{2,-1,2,1},{1,0,1,0},{0,0,1,1},{1,0,0,1},{-1,2,-1,-1},{-1,1,0,0},{0,1,-1,0},{0,1,0,-1},{1,-1,2,1},{2,-1,1,1},{1,-1,1,2},{1,0,0,0},{0,0,1,0},{0,0,0,1},{1,-1,1,1},{0,0,0,0}}
Ext matrix: {{1,2,3,3,3,3,5,5,5,4+T^2,7,7,7,8,8,8,12,12,12,20,28},{0,1,2,1,1,1,3,3,3,3,5,5,5,4,4,4,8,8,8,12,20},{0,0,1,0,0,0,1,1,1,2,3,3,3,1,1,1,4,4,4,5,12},{0,0,0,1,0,0,0,2,0,T^2,3,0,0,3,0,3,0,5,5,8,12},{0,0,0,0,1,0,0,0,2,T^2,0,3,0,0,3,3,5,0,5,8,12},{0,0,0,0,0,1,2,0,0,T^2,0,0,3,3,3,0,5,5,0,8,12},{0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,3,3,0,4,8},{0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,3,3,4,8},{0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,1,3,0,3,4,8},{3*T^2,0,0,2*T^2,2*T^2,2*T^2,0,0,0,1,1,1,1,T^2,T^2,T^2,1,1,1,1,5},{T^2,0,0,0,T^2,T^2,0,0,0,0,1,0,0,0,T^2,0,0,1,1,1,4},{T^2,0,0,T^2,0,T^2,0,0,0,0,0,1,0,T^2,0,0,1,0,1,1,4},{T^2,0,0,T^2,T^2,0,0,0,0,0,0,0,1,0,0,T^2,1,1,0,1,4},{0,0,0,0,0,0,0,0,0,T^2,0,0,0,1,0,0,0,2,0,3,5},{0,0,0,0,0,0,0,0,0,T^2,0,0,0,0,1,0,2,0,0,3,5},{0,0,0,0,0,0,0,0,0,T^2,0,0,0,0,0,1,0,0,2,3,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3},{0,0,0,0,0,0,0,0,0,T^2,0,0,0,0,0,0,0,0,0,1,2},{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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$(4,77)$ |
4 |
17 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & -1 & 0 & -1 & 0 & 0 \\ -1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & -1 & -1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 0 & -1 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & -1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 0 & 1 & 2 & 0 & 0 & -1 & 1 & 1 & -1 & 0 & 1 & 0 & -1 & -1 & 1 & 0 & 0 & -1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 1, 1}, {0, 0, 1, 0}, {1, 0, -1, 0}, {0, 0, 0, 1}, {1, 0, 0, -1}, {-1, 0, 0, 0}}
Cones (17): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 2, 3, 5}, {1, 2, 3, 7}, {1, 2, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 4}, {3, 4}, {1, 2, 6}, {5, 6}, {0, 7}, {3, 5, 7}}
Chambers: 13
Cox degrees: {{-1,1,-1,0},{0,1,0,-1},{0,1,0,-1},{1,-1,0,1},{1,0,0,0},{0,-1,1,1},{0,0,1,0},{0,0,0,1}}
Theta-collection (19): {{1,1,1,0},{1,0,1,1},{1,-1,1,2},{1,1,0,0},{0,1,1,0},{0,2,0,-1},{0,0,1,1},{1,0,0,1},{1,1,1,-1},{0,1,0,0},{0,0,0,1},{1,0,1,0},{1,1,0,-1},{0,1,1,-1},{1,-1,1,1},{1,0,0,0},{0,0,1,0},{0,1,0,-1},{0,0,0,0}}
Ext matrix: {{1,2,3,3,3,4,5,5,5,8,12,10,12,12,15,20,20,26,39},{0,1,2,1,1,1,3,3,1,4,8,5,5,5,10,12,12,14,26},{0,0,1,0,0,T^2,1,1,0,1,4,1,1,1,5,5,5,5,14},{0,0,0,1,0,1,0,2,1,3,5,3,5,3,5,10,6,12,20},{0,0,0,0,1,1,2,0,1,3,5,3,3,5,5,6,10,12,20},{0,0,T^2,0,0,1,0,0,1,2,3,2,3,3,3,5,5,10,15},{0,0,0,0,0,0,1,0,0,1,3,1,1,1,3,3,5,5,12},{0,0,0,0,0,0,0,1,0,1,3,1,1,1,3,5,3,5,12},{0,0,T^2,0,0,0,0,0,1,0,0,2,3,3,3,5,5,8,12},{0,0,0,0,0,0,0,0,0,1,2,1,1,1,2,3,3,5,10},{0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,8},{0,0,T^2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,3,5},{0,0,T^2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,3,5},{0,0,0,0,0,T^2,0,0,0,0,0,0,0,0,1,1,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3},{0,0,T^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,78)$ |
4 |
17 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & -1 & 0 & -1 & 0 & 0 \\ 0 & 0 & 0 & 0 & -1 & 1 & 1 & 0 \\ 0 & -1 & -1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & -1 & 1 & 1 & 0 & 0 & -1 & 0 & 2 & 1 & 1 & -1 & 0 & 0 & 1 & 0 & -1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 1 & 1 & 2 & 0 & -1 & 0 & -1 & 1 & 1 & 0 & -1 & 0 & 1 & -1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 1, 1}, {0, 0, 1, 0}, {1, 0, -1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}}
Cones (17): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 2, 3, 5}, {1, 2, 3, 7}, {1, 2, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 4}, {3, 4}, {1, 2, 6}, {5, 6}, {0, 7}, {3, 5, 7}}
Chambers: 12
Cox degrees: {{-1,1,0,0},{0,1,0,-1},{0,1,0,-1},{1,-1,0,1},{1,0,-1,0},{0,-1,1,1},{0,0,1,0},{0,0,0,1}}
Theta-collection (19): {{1,0,1,1},{1,-1,1,2},{1,1,0,0},{0,1,1,0},{1,0,0,1},{0,0,1,1},{1,-1,0,2},{1,0,1,0},{0,2,0,-1},{0,1,0,0},{1,1,0,-1},{1,-1,1,1},{0,0,0,1},{1,0,0,0},{0,1,1,-1},{0,0,1,0},{1,-1,0,1},{0,1,0,-1},{0,0,0,0}}
Ext matrix: {{1,2,1,2,3,5,5,3,2,6,3,7,11,9,5,13,16,15,28},{0,1,0,0,1,2,3,0,T^2,2,0,3,6,3,0,5,9,5,15},{0,0,1,1,2,2,3,1,2,5,3,2,8,7,3,7,11,13,22},{0,0,0,1,0,2,0,1,1,3,1,2,5,3,3,7,5,9,16},{0,0,0,0,1,1,2,0,0,2,0,1,5,3,0,3,7,5,13},{0,0,0,0,0,1,0,0,0,1,0,1,3,1,0,3,3,3,9},{0,0,0,0,0,0,1,0,T^2,0,0,0,2,0,0,0,3,0,5},{0,0,0,0,0,0,0,1,0,0,1,2,0,3,2,5,5,6,11},{0,T^2,0,0,0,0,T^2,0,1,2,1,0,3,2,1,2,3,7,11},{0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,1,2,3,7},{0,T^2,0,0,0,0,T^2,0,0,0,1,0,0,2,1,2,3,5,8},{0,0,0,0,0,0,0,0,T^2,0,0,1,0,1,0,2,3,2,6},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,5},{0,T^2,0,0,0,0,T^2,0,0,0,0,0,0,0,1,2,0,3,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3},{0,0,0,0,0,0,0,0,T^2,0,0,0,0,0,0,0,1,0,2},{0,T^2,0,0,0,0,T^2,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,79)$ |
4 |
17 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & -1 & 0 & -1 & 0 & 0 \\ 0 & -1 & -1 & 1 & 0 & 1 & 0 & 1 \\ 0 & 1 & 1 & -1 & 0 & 0 & 1 & -1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 2 & -1 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 0 & 1 & -1 & 2 & 0 & -1 & 0 & 1 & -1 & 0 & 1 & -1 & -1 & 1 & 0 & 0 & 1 & 0 & -1 & 0 \\ 1 & 0 & 2 & -1 & 1 & 2 & 0 & 0 & 1 & 1 & -1 & 1 & 2 & 0 & 0 & 1 & -1 & 0 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 1, 1}, {0, 0, 1, 0}, {1, 0, -1, 0}, {0, 0, 0, 1}, {0, 0, 0, -1}, {-1, 0, 0, 0}}
Cones (17): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 2, 3, 5}, {1, 2, 3, 7}, {1, 2, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 4}, {3, 4}, {1, 2, 6}, {5, 6}, {0, 7}, {3, 5, 7}}
Chambers: 14
Cox degrees: {{-1,1,0,0},{0,1,-1,1},{0,1,-1,1},{1,-1,1,-1},{1,0,0,0},{0,-1,1,0},{0,0,0,1},{0,0,1,-1}}
Theta-collection (20): {{1,1,0,1},{1,0,1,0},{0,2,-1,2},{1,-1,2,-1},{0,1,0,1},{1,1,-1,2},{1,1,0,0},{0,0,1,0},{0,2,-1,1},{1,0,0,1},{1,0,1,-1},{1,1,-1,1},{0,1,-1,2},{1,-1,1,0},{0,1,0,0},{0,0,0,1},{0,0,1,-1},{1,0,0,0},{0,1,-1,1},{0,0,0,0}}
Ext matrix: {{1,2,1,3,3,2,3,5,4,5,5,7,6,8,8,11,12,13,17,27},{0,1,0,2,1,0,1,3,1,2,3,2,2,5,4,6,8,7,8,17},{0,0,1,T^2,2,1,0,3,3,2,0,3,5,3,5,8,7,5,13,19},{0,0,2*T^2,1,0,T^2,0,1,T^2,0,1,0,T^2,2,1,2,4,2,2,8},{0,0,0,0,1,0,0,2,1,1,0,1,2,2,3,5,5,3,7,13},{0,0,0,T^2,0,1,0,0,0,2,0,3,3,3,0,5,0,5,8,12},{0,0,0,0,0,0,1,0,1,0,2,2,0,0,3,0,5,5,6,11},{0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,3,1,2,7},{0,0,0,T^2,0,0,0,0,1,0,0,1,0,0,2,0,3,2,5,8},{0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,3,0,3,4,8},{0,0,T^2,0,0,T^2,0,0,0,0,1,0,T^2,0,1,0,3,2,2,6},{0,0,0,T^2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,3,5},{0,0,0,T^2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,3,5},{0,0,T^2,0,0,0,0,0,T^2,0,0,0,0,1,0,1,0,1,1,4},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,2,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3},{0,0,T^2,0,0,T^2,0,0,0,0,0,0,T^2,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3},{0,0,0,T^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,80)$ |
4 |
17 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & -1 & 0 \\ 1 & 0 & 0 & 0 & -1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 & 1 & -1 & 0 & -1\end{pmatrix}$
18: $\begin{pmatrix}0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 2 & 0 & 1 & 0 & 0 & 1 & 2 & 1 & -1 & 0 & -1 & 0 & 1 & 0 & -1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, 0, 1}, {0, 0, 1, 0}, {1, 0, -1, -1}, {0, 0, 0, 1}, {1, 0, 0, -1}, {0, 0, -1, -1}}
Cones (17): {{0, 1, 3, 5}, {0, 1, 3, 6}, {0, 1, 4, 5}, {0, 1, 4, 6}, {0, 2, 3, 5}, {0, 2, 3, 6}, {0, 2, 4, 5}, {0, 2, 4, 6}, {1, 2, 3, 5}, {1, 2, 3, 7}, {1, 2, 5, 7}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 4, 6, 7}, {2, 3, 6, 7}, {2, 4, 5, 7}, {2, 4, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 4}, {3, 4}, {1, 2, 6}, {5, 6}, {0, 7}, {3, 5, 7}}
Chambers: 15
Cox degrees: {{-1,0,1,0},{0,0,0,1},{0,0,0,1},{0,1,0,0},{0,1,-1,1},{1,0,0,-1},{1,-1,0,0},{0,0,1,-1}}
Theta-collection (18): {{0,1,1,1},{1,1,0,1},{0,1,0,2},{1,0,1,0},{0,0,1,1},{0,1,1,0},{1,1,0,0},{1,0,0,1},{0,0,0,2},{0,1,0,1},{1,0,1,-1},{0,0,1,0},{0,1,1,-1},{1,0,0,0},{0,0,0,1},{0,1,0,0},{0,0,1,-1},{0,0,0,0}}
Ext matrix: {{1,1,2,1,3,3,3,3,5,7,3,9,6,9,16,15,18,33},{0,1,1,1,1,1,3,3,3,5,3,5,3,9,12,12,12,27},{0,0,1,0,1,0,0,1,3,3,0,3,0,3,9,6,6,18},{0,0,0,1,1,1,1,2,2,2,3,5,3,7,9,7,12,22},{0,0,0,0,1,0,0,1,2,1,0,3,0,3,7,3,6,15},{0,0,0,0,0,1,1,0,0,2,1,3,3,3,5,7,9,16},{0,0,0,0,0,0,1,0,0,1,1,1,1,3,3,5,5,12},{0,0,0,0,0,0,0,1,1,1,0,1,0,3,5,3,3,12},{0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,6},{0,0,0,0,0,0,0,0,0,1,0,1,0,1,3,3,3,9},{0,0,T^2,0,0,0,0,0,T^2,0,1,1,1,2,2,2,5,9},{0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,3,7},{0,0,T^2,0,0,0,0,0,T^2,0,0,0,1,0,0,2,3,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3},{0,0,T^2,0,0,0,0,0,T^2,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,81)$ |
4 |
17 |
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8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & -1 & -1 & 0 & 0 \\ 0 & -1 & -1 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & -1\end{pmatrix}$
21: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 2 & 1 & 2 & 1 & 0 & -1 & 0 & 0 & 2 & -1 & 1 & 1 & -1 & 1 & 0 & 0 & 1 & -1 & 0 \\ 0 & 1 & -1 & 0 & -1 & 0 & 1 & 2 & 0 & 1 & -1 & 2 & 0 & -1 & 1 & 0 & 1 & 0 & -1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {-1, -1, -1, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {0, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (17): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 2, 4, 5}, {1, 2, 4, 6}, {1, 2, 5, 6}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 3}, {3, 4, 5}, {0, 6}, {3, 6}, {4, 5, 6}, {0, 7}, {1, 2, 7}, {4, 5, 7}}
Chambers: 17
Cox degrees: {{0,1,0,0},{0,1,-1,0},{0,1,-1,0},{1,0,0,1},{1,-1,1,0},{1,-1,1,0},{0,0,1,1},{0,0,0,-1}}
Theta-collection (21): {{2,1,0,0},{2,0,1,0},{1,2,-1,0},{2,1,0,1},{1,2,-1,1},{1,1,0,0},{2,0,1,1},{2,-1,2,0},{2,0,0,0},{1,0,1,0},{0,2,-1,0},{2,-1,2,1},{1,1,0,1},{1,1,-1,0},{2,-1,1,0},{0,1,0,0},{1,0,1,1},{1,0,0,0},{0,1,-1,0},{1,-1,1,0},{0,0,0,0}}
Ext matrix: {{1,2,2,1,2,5,2,3,3,8,8,3,5,7,5,14,8,13,22,19,34},{0,1,0,0,0,2,1,2,1,5,3,2,2,2,3,8,5,7,11,13,22},{0,0,1,0,1,2,0,T^2,0,3,5,T^2,2,3,0,8,3,5,13,7,19},{0,0,0,1,2,1,2,0,2,2,2,3,5,5,3,5,8,9,16,13,25},{0,0,0,0,1,0,0,T^2,0,0,1,T^2,2,2,0,2,3,3,9,4,13},{0,0,0,0,0,1,0,0,0,2,2,0,1,1,0,5,2,3,7,5,13},{0,0,0,0,0,0,1,0,1,1,0,2,2,2,2,2,5,5,8,9,16},{0,0,T^2,0,T^2,0,0,1,0,2,T^2,1,0,0,1,3,2,2,3,7,11},{0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,5,8,8,14},{0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,2,3,7},{0,0,0,0,0,0,0,T^2,0,0,1,T^2,0,0,0,2,0,0,3,0,5},{T^2,0,3*T^2,0,T^2,0,0,0,T^2,0,T^2,1,0,2*T^2,1,0,2,2,3,5,8},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,2,5,3,9},{0,0,0,0,0,0,0,T^2,0,0,0,T^2,0,1,0,0,0,2,5,3,8},{0,0,T^2,0,T^2,0,0,0,0,0,T^2,0,0,0,1,0,0,2,3,5,8},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3},{0,0,T^2,0,0,0,0,0,0,0,0,0,0,T^2,0,0,1,1,2,2,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,5},{0,0,0,0,0,0,0,T^2,0,0,0,T^2,0,0,0,0,0,0,1,0,2},{0,0,T^2,0,T^2,0,0,0,0,0,T^2,0,0,0,0,0,0,0,0,1,2},{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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$(4,82)$ |
4 |
17 |
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8: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & -1 & -1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}1 & 2 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 2 & 1 & 0 & -1 & -1 & 1 & 2 & 1 & -1 & 0 & 0 & 1 & 0 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, -1, -1, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, -1, -1}, {-1, 0, 0, 0}, {-1, 0, 1, 0}}
Cones (17): {{0, 1, 3, 4}, {0, 1, 3, 5}, {0, 1, 4, 5}, {0, 2, 3, 4}, {0, 2, 3, 5}, {0, 2, 4, 5}, {1, 2, 4, 5}, {1, 2, 4, 6}, {1, 2, 5, 6}, {1, 3, 4, 7}, {1, 3, 5, 7}, {1, 4, 6, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {2, 3, 5, 7}, {2, 4, 6, 7}, {2, 5, 6, 7}}
Primitive collections: {{0, 1, 2}, {1, 2, 3}, {3, 4, 5}, {0, 6}, {3, 6}, {4, 5, 6}, {0, 7}, {1, 2, 7}, {4, 5, 7}}
Chambers: 18
Cox degrees: {{-1,1,1,1},{0,1,0,0},{0,1,0,0},{1,0,0,-1},{1,-1,0,0},{1,-1,0,0},{0,0,1,0},{0,0,0,1}}
Theta-collection (19): {{1,1,1,1},{2,0,1,0},{1,0,1,1},{0,2,1,1},{1,1,1,0},{2,0,0,0},{2,-1,1,0},{1,-1,1,1},{0,1,1,1},{0,2,1,0},{1,1,0,0},{2,-1,0,0},{1,0,1,0},{0,0,1,1},{0,1,1,0},{1,0,0,0},{1,-1,0,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,0,2,2,1,1,0,3,5,2,3,2,2,8,5,7,11,13,22},{0,1,1,0,2,1,2,2,2,3,2,3,5,5,8,7,13,11,22},{0,0,1,0,0,0,0,2,2,0,0,1,1,5,2,3,7,5,13},{0,0,0,1,0,0,T^2,T^2,2,1,1,0,0,3,2,2,3,7,11},{0,0,0,0,1,0,0,0,1,2,1,0,2,2,5,3,5,7,13},{0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,5,8,8,14},{0,0,0,T^2,0,0,1,1,0,T^2,0,1,2,2,3,2,7,3,11},{0,0,0,T^2,0,0,0,1,0,T^2,0,0,0,2,0,0,3,0,5},{0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,2,3,7},{0,0,0,0,0,0,T^2,T^2,0,1,0,0,0,0,2,0,0,3,5},{0,0,0,0,0,0,T^2,T^2,0,0,1,0,0,0,0,2,3,5,8},{0,0,0,T^2,0,0,0,0,0,T^2,0,1,0,0,0,2,5,3,8},{0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,3,2,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,5},{0,0,0,T^2,0,0,0,0,0,T^2,0,0,0,0,0,0,1,0,2},{0,0,0,0,0,0,T^2,T^2,0,0,0,0,0,0,0,0,0,1,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,121)$ |
4 |
18 |
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8: $\begin{pmatrix}-1 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & -1 & 1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 & 0 & 1 & -1 & -1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 2 & 0 & 0 & 0 & 1 & 1 & -1 & 0 & 1 & 2 & 0 & 0 & 0 & -1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & -1 & 0 & 0 & -1 & 0 & 1 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {-1, -1, 0, 0}, {0, -1, -1, -1}, {1, 0, -1, -1}, {-1, 0, 0, 1}}
Cones (18): {{0, 1, 2, 3}, {0, 1, 2, 6}, {0, 1, 3, 6}, {0, 2, 3, 4}, {0, 2, 4, 5}, {0, 2, 5, 6}, {0, 3, 4, 5}, {0, 3, 5, 6}, {1, 2, 3, 7}, {1, 2, 4, 5}, {1, 2, 4, 7}, {1, 2, 5, 6}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {3, 4, 5, 7}, {3, 5, 6, 7}}
Primitive collections: {{0, 1, 4}, {1, 3, 4}, {0, 1, 5}, {1, 3, 5}, {2, 3, 5}, {2, 3, 6}, {4, 6}, {0, 7}, {2, 5, 7}, {2, 6, 7}}
Chambers: 27
Cox degrees: {{-1,0,1,0},{0,0,0,1},{1,0,0,0},{1,0,-1,1},{-1,1,0,0},{1,-1,0,1},{0,1,0,-1},{0,0,1,-1}}
Theta-collection (20): {{1,1,0,1},{1,0,1,1},{1,0,0,2},{2,0,0,1},{0,1,1,0},{0,1,0,1},{0,0,1,1},{1,1,0,0},{1,0,1,0},{-1,1,1,0},{0,0,0,2},{1,0,0,1},{2,0,0,0},{0,1,1,-1},{0,1,0,0},{0,0,1,0},{-1,1,1,-1},{1,0,0,0},{0,0,0,1},{0,0,0,0}}
Ext matrix: {{1,0,1,1,1,3,1,3,1,3,3,5,3,3,9,5,9,12,12,27},{0,1,1,1,1,1,3,1,3,3,3,5,3,3,5,9,9,12,12,27},{0,0,1,0,0,1,1,0,0,1,3,3,0,0,3,3,3,6,9,18},{0,0,0,1,0,0,0,1,1,0,0,3,3,1,3,3,3,9,6,18},{0,0,0,0,1,1,1,1,1,3,1,2,1,3,5,5,9,7,7,19},{0,0,0,0,0,1,0,0,0,1,1,1,0,0,3,1,3,3,5,12},{0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,3,3,3,5,12},{0,0,0,0,0,0,0,1,0,0,0,1,1,1,3,1,3,5,3,12},{0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,3,3,5,3,12},{0,0,0,T^2,0,0,0,0,0,1,0,0,T^2,0,1,1,3,1,2,7},{0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,6},{0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,3,3,9},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,6},{0,0,T^2,0,0,0,0,0,0,0,T^2,0,0,1,1,1,3,2,1,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,5},{0,0,T^2,T^2,0,0,0,0,0,0,T^2,0,T^2,0,0,0,1,0,0,2},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1}}
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$(4,122)$ |
4 |
18 |
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8: $\begin{pmatrix}-1 & -1 & 1 & 1 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 & -1 & 1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 & 0 & 1 & -1 & -1\end{pmatrix}$
21: $\begin{pmatrix}1 & 1 & 0 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 2 & -1 & 0 & 1 & -1 & 0 & 0 & 1 & -1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & 2 & -1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & -1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Details:
Rays (8): {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {-1, -1, 0, 0}, {0, 0, -1, -1}, {1, 1, -1, -1}, {-1, 0, 0, 1}}
Cones (18): {{0, 1, 2, 3}, {0, 1, 2, 6}, {0, 1, 3, 6}, {0, 2, 3, 4}, {0, 2, 4, 5}, {0, 2, 5, 6}, {0, 3, 4, 5}, {0, 3, 5, 6}, {1, 2, 3, 7}, {1, 2, 4, 5}, {1, 2, 4, 7}, {1, 2, 5, 6}, {1, 3, 6, 7}, {1, 4, 5, 7}, {1, 5, 6, 7}, {2, 3, 4, 7}, {3, 4, 5, 7}, {3, 5, 6, 7}}
Primitive collections: {{0, 1, 4}, {1, 3, 4}, {0, 1, 5}, {1, 3, 5}, {2, 3, 5}, {2, 3, 6}, {4, 6}, {0, 7}, {2, 5, 7}, {2, 6, 7}}
Chambers: 26
Cox degrees: {{-1,0,1,0},{-1,0,0,1},{1,0,0,0},{1,0,-1,1},{0,1,0,0},{0,-1,0,1},{1,1,0,-1},{0,0,1,-1}}
Theta-collection (21): {{1,1,1,0},{1,1,0,1},{0,0,1,1},{1,0,1,0},{2,1,0,0},{0,1,1,0},{0,0,0,2},{1,1,1,-1},{1,0,0,1},{0,1,0,1},{2,0,0,0},{-1,0,1,1},{0,0,1,0},{1,1,0,0},{-1,1,1,0},{0,1,1,-1},{0,0,0,1},{1,0,0,0},{-1,0,1,0},{0,1,0,0},{0,0,0,0}}
Ext matrix: {{1,1,1,2,2,3,1,5,3,3,4,3,7,7,6,12,9,14,15,15,30},{0,1,0,0,1,1,1,1,2,3,2,1,2,5,3,5,7,9,7,12,22},{0,0,1,1,0,1,1,1,2,1,2,3,5,2,3,5,7,9,12,7,22},{0,0,0,1,0,0,0,1,1,0,2,0,3,1,0,3,3,7,6,3,15},{0,0,0,0,1,0,0,1,1,0,2,0,1,3,0,3,3,7,3,6,15},{0,0,0,0,0,1,0,1,0,1,0,1,2,2,3,5,3,4,7,7,14},{0,0,0,0,0,0,1,0,1,1,1,1,1,1,1,1,5,5,5,5,15},{0,0,0,0,0,0,T^2,1,0,0,0,0,1,1,0,3,1,3,3,3,9},{0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,3,5,3,3,12},{0,0,0,T^2,0,0,0,0,0,1,T^2,0,0,1,1,1,2,2,2,5,9},{0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,6},{0,0,0,0,T^2,0,0,0,0,0,T^2,1,1,0,1,1,2,2,5,2,9},{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,3,1,7},{0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,3,7},{0,0,0,T^2,T^2,0,0,0,0,0,2*T^2,0,0,0,1,1,0,0,2,2,4},{0,0,0,0,0,0,T^2,0,0,0,0,0,0,0,0,1,0,0,1,1,3},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,5},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3},{0,0,0,0,T^2,0,0,0,0,0,T^2,0,0,0,0,0,0,0,1,0,2},{0,0,0,T^2,0,0,0,0,0,0,T^2,0,0,0,0,0,0,0,0,1,2},{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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