|
$(6,6)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 4 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 2 & 4 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{5, 6}, {4, 7}, {0, 1, 2, 3, 8}}
|
|
$(6,7)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 4 & 0 & 4 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 9 & 8 & 8 & 7 & 8 & 7 & 6 & 7 & 6 & 5 & 6 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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|
$(6,11)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 4 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, -1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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|
$(6,15)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -3 & 0 & 4 & 0 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 4 & 7 & 3 & 6 & 2 & 5 & 1 & 4 & 4 & 0 & 7 & 3 & 3 & -1 & 6 & 2 & -2 & 2 & 5 & 1 & 1 & 4 & 4 & 0 & 3 & 3 & -1 & 2 & 2 & -2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 2, 5, 8}}
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|
$(6,16)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 4 & 0 & 0 & 1\end{pmatrix}$
39: $\begin{pmatrix}-1 & -2 & 0 & -1 & 1 & 0 & -2 & 1 & -1 & 0 & -2 & 1 & -1 & -2 & 0 & -1 & 0 & 1 & -2 & 0 & 1 & -1 & 1 & 0 & -1 & -2 & -1 & 0 & 1 & 1 & -1 & 0 & 1 & -1 & 0 & 0 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 7 & 5 & 6 & 5 & 6 & 4 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, -1, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 3, 4, 5, 6, 8}}
Primitive collections: {{2, 3, 5}, {5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 4, 6, 8}}
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$(6,17)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 4 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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$(6,18)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 4 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 8 & 5 & 7 & 4 & 6 & 3 & 4 & 5 & 2 & 3 & 4 & 2 & 1 & 3 & 4 & 1 & 3 & 2 & 0 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -4}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{4, 6}, {5, 7}, {0, 1, 2, 3, 8}}
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$(6,25)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & -1 & 3 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 7 & 5 & 6 & 4 & 3 & 5 & 4 & 2 & 3 & 4 & 1 & 3 & 2 & 0 & 4 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 0, 1, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{5, 6}, {4, 7}, {0, 1, 2, 3, 8}}
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$(6,27)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 4 & 0 & 3 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 11 & 10 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 7 & 5 & 6 & 4 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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$(6,32)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & -2 & 0 & 3 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 7 & 9 & 6 & 8 & 5 & 7 & 4 & 7 & 4 & 6 & 6 & 3 & 5 & 3 & 2 & 5 & 4 & 2 & 4 & 1 & 4 & 1 & 3 & 3 & 0 & 2 & 2 & -1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, -1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {5, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 2, 4, 8}}
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$(6,37)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -2 & -1 & 3 & 0 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 5 & 2 & 4 & 1 & 4 & 3 & 6 & 3 & 0 & 2 & 5 & 2 & -1 & 1 & 4 & 4 & 1 & -2 & 3 & 0 & 3 & 0 & 2 & 2 & -1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 2, 5, 8}}
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$(6,40)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 3 & 0 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}-2 & -1 & 0 & -2 & -1 & 0 & -2 & -2 & -1 & -1 & 0 & -2 & -1 & 0 & -2 & -2 & -1 & 0 & -2 & 0 & -1 & 0 & -1 & -2 & 0 & -1 & -1 & 0 & -2 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 9 & 8 & 7 & 8 & 7 & 6 & 7 & 7 & 6 & 6 & 5 & 6 & 5 & 5 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, -1, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 7}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5}, {4, 5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 6, 8}}
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$(6,41)$ |
3 |
20 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 3 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 5 & 3 & 4 & 4 & 4 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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$(6,43)$ |
3 |
20 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & -2 & 0 & 3 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 5 & 5 & 4 & 7 & 4 & 3 & 6 & 2 & 3 & 1 & 2 & 5 & 4 & 1 & 3 & 4 & 0 & 3 & -1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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$(6,44)$ |
3 |
20 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & -1 & 3 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 7 & 4 & 6 & 4 & 3 & 5 & 2 & 3 & 4 & 1 & 2 & 3 & 4 & 0 & 1 & 3 & 2 & 0 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{4, 6}, {5, 7}, {0, 1, 2, 3, 8}}
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$(6,45)$ |
3 |
23 |
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9: $\begin{pmatrix}0 & 0 & 0 & -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 3 & 0 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}-1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & -1 & 0 & 0 & -1 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & 0 & 0 & -1 & 0 & -1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 9 & 8 & 8 & 7 & 7 & 6 & 7 & 6 & 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 7}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{3, 5}, {4, 5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 2, 6, 8}}
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$(6,51)$ |
3 |
20 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & -2 & 2 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 4 & 6 & 3 & 2 & 5 & 4 & 1 & 3 & 4 & 0 & 3 & -1 & 2 & 2 & 1 & 1 & 4 & 0 & 3 & -1 & 0 & 2 & -1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 0, 1, -1}, {1, 1, 1, 1, -2, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{5, 6}, {4, 7}, {0, 1, 2, 3, 8}}
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$(6,58)$ |
3 |
23 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, -1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -2, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {5, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 2, 4, 8}}
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$(6,64)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 0 & -1 & -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}-2 & -1 & -2 & -2 & 0 & -1 & 0 & -1 & -2 & -1 & -2 & 0 & -1 & -1 & -2 & 0 & 0 & -1 & -2 & 0 & -2 & -1 & -1 & 0 & 0 & 0 & -1 & -1 & 0 & -1 & 0 & -1 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 2 & 0 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 6 & 5 & 6 & 5 & 4 & 5 & 4 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, -1, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -2, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 7}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5}, {4, 5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 6, 8}}
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$(6,65)$ |
3 |
20 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 6 & 6 & 5 & 4 & 5 & 5 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -2, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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$(6,67)$ |
3 |
20 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 6 & 6 & 5 & 6 & 5 & 4 & 4 & 5 & 3 & 4 & 2 & 3 & 4 & 3 & 2 & 1 & 3 & 1 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -2, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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$(6,68)$ |
3 |
23 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}-1 & 0 & -1 & 0 & -1 & -1 & 0 & 0 & -1 & 0 & 0 & -1 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 6 & 5 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -2, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 7}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{3, 5}, {4, 5, 7}, {4, 6, 7}, {0, 1, 2, 3, 8}, {0, 1, 2, 6, 8}}
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$(6,72)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 2 & 4 & 3 & 1 & 2 & 3 & 4 & 1 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 6 & 5 & 4 & 5 & 3 & 4 & 5 & 4 & 3 & 2 & 4 & 2 & 3 & 3 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -2}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
|
|
$(6,114)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 3 & 3 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 9 & 9 & 8 & 8 & 7 & 6 & 7 & 6 & 5 & 6 & 4 & 5 & 6 & 4 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {3, 7}, {0, 1, 2, 8}}
|
|
$(6,141)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 3 & 0 & 3 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 9 & 8 & 9 & 7 & 6 & 8 & 7 & 6 & 5 & 6 & 5 & 4 & 6 & 4 & 5 & 4 & 3 & 5 & 2 & 4 & 3 & 3 & 2 & 1 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{3, 5}, {4, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,142)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 6 & 0 & 3 & 0 & 1\end{pmatrix}$
40: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 15 & 14 & 13 & 12 & 12 & 11 & 11 & 10 & 10 & 9 & 9 & 8 & 9 & 7 & 8 & 8 & 7 & 6 & 7 & 6 & 6 & 5 & 6 & 4 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, -2, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
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|
$(6,157)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 3 & 0 & 3 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 9 & 9 & 8 & 9 & 7 & 8 & 8 & 7 & 6 & 7 & 6 & 5 & 6 & 4 & 5 & 6 & 4 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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|
$(6,160)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 1 & 3 & 2 & 0 & 1 & 3 & 0 & 2 & 1 & 3 & 0 & 2 & 2 & 3 & 1 & 0 & 2 & 1 & 0 & 2 & 1 & 3 & 2 & 0 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 0 \\ 6 & 6 & 6 & 5 & 5 & 6 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, -1, 1, 1, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
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|
$(6,179)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 3 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 9 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, -1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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|
$(6,209)$ |
3 |
25 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -2 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}3 & 2 & 3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 5 & 2 & 4 & 1 & 3 & 3 & 0 & 5 & 2 & -1 & 2 & 4 & 1 & 1 & 3 & 3 & 0 & 5 & 2 & -1 & 2 & 4 & 1 & 1 & 3 & 3 & 0 & 2 & 2 & -1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 1, 5, 8}}
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|
$(6,210)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -2 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
39: $\begin{pmatrix}2 & 1 & 0 & -1 & 2 & 1 & 0 & 2 & -1 & 1 & 0 & 2 & -1 & 2 & 1 & 0 & 1 & 0 & -1 & 2 & 1 & -1 & 2 & 1 & 0 & 0 & -1 & 2 & -1 & 2 & 1 & 1 & 0 & -1 & 0 & -1 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 6 & 6 & 5 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, -2, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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|
$(6,211)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -1 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}1 & 0 & 2 & 1 & -1 & 2 & 0 & 1 & -1 & 2 & 0 & -1 & 1 & 0 & 2 & 1 & 2 & 1 & 0 & -1 & 0 & -1 & 1 & 2 & 1 & -1 & 2 & 0 & 1 & 0 & -1 & 0 & 2 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 6 & 4 & 5 & 4 & 5 & 3 & 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 3 & 2 & 3 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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|
$(6,215)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & -1 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & -2 & -2 & 3 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
46: $\begin{pmatrix}2 & 1 & 3 & 2 & 0 & 1 & 3 & 0 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 0 & 3 & 2 & 2 & -1 & 0 & 1 & 2 & 0 & 1 & 1 & -1 & 0 & 2 & 0 & -1 & 1 & -1 & 1 & 2 & 0 & 1 & -1 & 0 & -1 & 1 & 0 & 0 & -1 & 1 & 0 \\ 0 & 1 & -1 & 0 & 2 & 1 & -1 & 2 & 0 & -1 & 1 & 0 & 2 & 0 & 1 & 1 & -1 & -1 & 0 & 2 & 2 & 0 & -1 & 1 & 1 & 0 & 2 & 1 & -1 & 0 & 2 & 0 & 1 & -1 & -1 & 1 & 0 & 2 & 0 & 1 & -1 & 1 & 0 & 1 & -1 & 0 \\ 3 & 5 & 0 & 2 & 7 & 4 & -1 & 6 & 1 & -2 & 3 & 0 & 5 & 3 & 2 & 5 & -3 & 0 & -1 & 7 & 4 & 2 & -1 & 4 & 1 & 1 & 6 & 3 & -2 & 3 & 5 & 0 & 5 & 0 & -3 & 2 & -1 & 4 & 2 & 4 & -1 & 1 & 1 & 3 & -2 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, -1, 1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 6, 8}}
Primitive collections: {{1, 2, 4, 6}, {3, 5, 7}, {4, 6, 7}, {0, 1, 2, 8}, {0, 3, 5, 8}}
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$(6,216)$ |
3 |
25 |
|
|
9: $\begin{pmatrix}-1 & -1 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}-1 & 0 & -2 & 1 & -1 & -3 & 2 & 0 & -2 & 1 & -3 & -1 & 2 & 0 & -2 & -1 & -3 & 1 & 0 & -1 & 1 & 2 & -2 & 0 & 1 & 0 & -2 & 2 & -1 & 1 & 0 & -1 & 2 & -2 & 0 & 1 & -1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 6 & 3 & 4 & 5 & 3 & 5 & 4 & 2 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 3 & 1 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {-1, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{0, 1, 2, 5}, {5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {3, 4, 6, 8}}
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$(6,217)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 1 & 2 & 1 & 3 & 1 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 5 & 4 & 6 & 4 & 5 & 3 & 4 & 2 & 3 & 3 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
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$(6,220)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 0 & 3 & 3 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 9 & 9 & 8 & 9 & 7 & 8 & 8 & 7 & 6 & 7 & 6 & 6 & 5 & 6 & 4 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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$(6,221)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 3 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 9 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 5 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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$(6,222)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 0 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 6 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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$(6,223)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 0 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 0 & 0 & 1 & 2 & 0 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 6 & 5 & 4 & 4 & 3 & 5 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 3 & 2 & 1 & 1 & 3 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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$(6,225)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}1 & 0 & 2 & 1 & -1 & 0 & 2 & 1 & -1 & 2 & 0 & -1 & 2 & 1 & 2 & 0 & 1 & 0 & -1 & 2 & 1 & 2 & 0 & 1 & -1 & 0 & 1 & 2 & 1 & 0 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 6 & 5 & 4 & 4 & 5 & 3 & 4 & 4 & 3 & 3 & 2 & 3 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {0, 1, 2, 8}}
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$(6,226)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 2 & 1 & 0 & 2 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 3 & 6 & 4 & 3 & 2 & 3 & 5 & 2 & 1 & 3 & 1 & 2 & 4 & 3 & 1 & 0 & 2 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {0, 1, 2, 8}}
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$(6,227)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & -1 & -1 & -1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}-2 & -1 & -2 & -1 & 0 & -2 & -1 & 0 & -2 & 1 & -2 & -1 & 0 & 1 & -2 & -2 & -1 & -1 & 0 & 1 & -2 & -1 & -1 & 0 & 0 & -2 & 1 & -1 & 0 & 0 & 1 & -1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 7 & 7 & 6 & 6 & 6 & 5 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 2}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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|
$(6,228)$ |
3 |
27 |
|
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9: $\begin{pmatrix}0 & 0 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -2 & 3 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
40: $\begin{pmatrix}1 & 0 & 2 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 & 2 & 0 & 1 & -1 & 1 & 0 & -1 & 0 & 1 & 2 & 0 & 1 & -1 & 1 & 0 & -1 & 1 & -1 & 0 & 0 & -1 & -1 & 1 & 0 & -1 & 0 & 0 & -1 & 0 \\ 1 & 2 & 0 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 2 & 1 & 1 & 2 & 2 & 0 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 6 & 8 & 3 & 5 & 2 & 7 & 4 & 6 & 1 & 6 & 3 & 0 & 5 & 3 & 8 & 2 & 5 & 7 & 4 & 2 & -1 & 4 & 1 & 6 & 1 & 3 & 6 & 0 & 5 & 3 & 2 & 5 & 4 & -1 & 2 & 4 & 1 & 1 & 3 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}}
Primitive collections: {{2, 4, 6}, {3, 5, 7}, {4, 6, 7}, {0, 1, 2, 8}, {0, 1, 3, 5, 8}}
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$(6,233)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 4 & 2 & 4 & 3 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 5 & 1 & 3 & 2 & 4 & 3 & 1 & 4 & 3 & 2 & 0 & 2 & 1 & 3 & 1 & 2 & 0 & 3 & 2 & 1 & 0 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -2}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
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$(6,292)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 5 & 3 & 5 & 4 & 2 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {3, 7}, {0, 1, 2, 8}}
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|
$(6,361)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 5 & 4 & 3 & 5 & 4 & 3 & 3 & 2 & 4 & 2 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{3, 5}, {4, 6, 7}, {0, 1, 2, 8}}
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$(6,365)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 5 & 0 & 2 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 4 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 10 & 9 & 9 & 8 & 8 & 7 & 8 & 7 & 7 & 6 & 7 & 5 & 6 & 6 & 5 & 6 & 5 & 4 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, -2, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
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$(6,410)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 2 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 7 & 5 & 4 & 6 & 5 & 3 & 5 & 2 & 4 & 4 & 3 & 5 & 2 & 3 & 2 & 4 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 0, 1, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{3, 5, 6}, {4, 7}, {0, 1, 2, 8}}
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$(6,436)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 3 & 0 & 2 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 11 & 10 & 9 & 9 & 8 & 8 & 7 & 8 & 6 & 7 & 6 & 7 & 6 & 5 & 6 & 4 & 5 & 5 & 4 & 5 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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$(6,459)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 7 & 7 & 6 & 6 & 5 & 6 & 5 & 4 & 5 & 4 & 3 & 5 & 4 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, -1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
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$(6,477)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & -1 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 6 & 4 & 3 & 5 & 2 & 3 & 4 & 2 & 3 & 4 & 1 & 5 & 3 & 0 & 2 & 4 & 1 & 2 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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|
$(6,478)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 4 & 0 & 1 & 2 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 4 & 3 & 4 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 9 & 8 & 8 & 7 & 7 & 6 & 7 & 6 & 6 & 5 & 6 & 4 & 5 & 5 & 4 & 5 & 5 & 4 & 4 & 3 & 2 & 3 & 3 & 4 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -2, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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|
$(6,518)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, -1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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$(6,556)$ |
3 |
25 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 2 & -1 & 0 & 2 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 3 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 7 & 8 & 6 & 7 & 7 & 5 & 6 & 5 & 4 & 6 & 4 & 5 & 3 & 5 & 3 & 5 & 4 & 3 & 4 & 2 & 3 & 2 & 3 & 1 & 3 & 1 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, -1, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{4, 5}, {2, 3, 6, 7}, {3, 5, 6, 7}, {0, 1, 2, 8}, {0, 1, 4, 8}}
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$(6,593)$ |
3 |
25 |
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9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -1 & 0 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}3 & 2 & 2 & 3 & 1 & 2 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 3 & 3 & 1 & 4 & 2 & 2 & 0 & 3 & 1 & -1 & 1 & 3 & 4 & 2 & 0 & 0 & 2 & 3 & 1 & -1 & 3 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & -1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 1, 5, 8}}
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$(6,601)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & -1 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & -1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 2 & 2 & -1 & -1 & 0 & 2 & 0 & 1\end{pmatrix}$
42: $\begin{pmatrix}1 & 0 & 2 & 1 & -1 & 0 & 2 & -1 & 0 & 1 & 0 & -1 & 2 & 1 & -1 & 2 & 1 & 0 & 0 & 2 & -1 & 1 & 0 & 2 & 1 & 0 & 1 & -1 & -1 & 0 & 2 & 1 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & -1 & 1 & 0 \\ 1 & 2 & 0 & 1 & 3 & 2 & 0 & 3 & 1 & 1 & 2 & 2 & 0 & 0 & 3 & -1 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & -1 & 1 & 0 & 0 & 2 & 1 & 1 & -1 & -1 & 0 & 0 & 2 & 1 & 1 & -1 & 0 & 1 & -1 & 0 \\ 5 & 6 & 3 & 4 & 7 & 5 & 2 & 6 & 5 & 3 & 4 & 6 & 1 & 3 & 5 & 1 & 2 & 4 & 3 & 0 & 5 & 2 & 3 & 0 & 1 & 3 & 1 & 4 & 4 & 2 & -1 & 1 & 0 & 2 & 3 & 3 & 1 & 0 & 1 & 2 & -1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {1, 2, 6, 7}, {5, 6, 7}, {0, 1, 2, 8}, {0, 3, 4, 8}}
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$(6,612)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & 1 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & -1 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & -1 & -1 & 2 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
40: $\begin{pmatrix}2 & 3 & 1 & 0 & 1 & 2 & 1 & 0 & 3 & 2 & 1 & -1 & 0 & 2 & 0 & 3 & 1 & 2 & 0 & 1 & -1 & 0 & 2 & -1 & 0 & 1 & 2 & 1 & 0 & -1 & 1 & 1 & 2 & 0 & -1 & 1 & 0 & -1 & 1 & 0 \\ 0 & -1 & 1 & 2 & 0 & 0 & 1 & 1 & -1 & -1 & 0 & 2 & 2 & 0 & 1 & -1 & 1 & -1 & 2 & 0 & 2 & 0 & 0 & 1 & 1 & 1 & -1 & -1 & 0 & 2 & 0 & -1 & -1 & 1 & 1 & 0 & 0 & 1 & -1 & 0 \\ 2 & 0 & 3 & 4 & 3 & 1 & 2 & 4 & -1 & 1 & 2 & 5 & 3 & 0 & 3 & -2 & 1 & 0 & 2 & 1 & 4 & 3 & -1 & 4 & 2 & 0 & -1 & 1 & 2 & 3 & 0 & 0 & -2 & 1 & 3 & -1 & 1 & 2 & -1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, -1, 1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 6, 8}}
Primitive collections: {{1, 2, 4, 6}, {3, 5, 7}, {4, 6, 7}, {0, 1, 2, 8}, {0, 3, 5, 8}}
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$(6,649)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & -1 & -1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & -1 & -1 & 0 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}3 & 2 & 1 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 3 & 2 & 0 & 2 & 1 & 1 & 3 & 2 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 2 & 0 & 1 & -1 & 2 & 0 & 0 & 1 & -1 & 1 & 2 & 0 & 2 & 1 & -1 & -1 & 2 & 0 & 0 & 1 & -1 & 1 & 2 & 0 & -1 & 1 & -1 & 0 & 0 & 1 & -1 & 0 & -1 & 0 \\ 2 & 3 & 4 & 1 & 2 & 1 & 3 & 2 & 0 & 3 & 0 & 1 & 4 & 1 & 2 & 2 & -1 & 1 & 3 & 2 & 0 & 3 & 0 & 1 & 2 & 1 & -1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & -1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, -1, 0, 1, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 6}, {4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 5, 8}}
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$(6,653)$ |
3 |
28 |
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9: $\begin{pmatrix}-1 & -1 & -1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}-2 & -3 & -1 & 0 & -2 & -2 & 1 & -3 & -1 & -1 & -2 & 0 & -3 & 1 & -1 & -2 & 0 & -1 & -3 & 0 & 1 & -2 & 0 & -1 & -2 & 1 & -1 & 0 & 1 & -1 & 0 & 0 & -2 & -1 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 4 & 5 & 5 & 3 & 5 & 4 & 4 & 4 & 3 & 5 & 2 & 3 & 4 & 3 & 3 & 4 & 2 & 2 & 3 & 2 & 3 & 3 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {-1, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{0, 1, 2, 5}, {4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {3, 6, 8}}
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$(6,654)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 3 & 5 & 1 & 3 & 4 & 2 & 0 & 2 & 1 & 3 & 1 & 2 & 0 & 3 & 2 & 1 & 0 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
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$(6,659)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 0 & 1 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 5 & 6 & 4 & 5 & 5 & 4 & 5 & 5 & 4 & 4 & 3 & 2 & 3 & 3 & 4 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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$(6,662)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 5 & 4 & 3 & 5 & 4 & 3 & 3 & 2 & 4 & 2 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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$(6,663)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 3 & 0 & 2 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 8 & 7 & 7 & 6 & 7 & 5 & 6 & 6 & 5 & 6 & 5 & 4 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
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$(6,669)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 5 & 6 & 5 & 4 & 5 & 4 & 3 & 5 & 4 & 4 & 3 & 4 & 3 & 2 & 3 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
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|
$(6,670)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & -1 & 0 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 7 & 5 & 4 & 6 & 3 & 4 & 5 & 3 & 4 & 5 & 4 & 3 & 2 & 3 & 4 & 2 & 1 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
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|
$(6,672)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 5 & 4 & 4 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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|
$(6,675)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 4 & 5 & 3 & 3 & 2 & 4 & 3 & 2 & 1 & 5 & 3 & 4 & 1 & 0 & 2 & 3 & 1 & 0 & 2 & 3 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {0, 1, 2, 8}}
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$(6,676)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & -1 & -1 & -1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}-2 & -2 & -1 & 0 & -2 & -1 & -2 & -2 & 0 & -1 & 1 & -2 & -1 & 0 & -1 & -1 & -2 & 1 & 0 & -1 & -2 & 0 & 1 & 0 & 1 & -1 & 0 & 1 & -1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 5 & 4 & 5 & 5 & 3 & 4 & 2 & 5 & 4 & 3 & 4 & 4 & 2 & 3 & 4 & 1 & 3 & 3 & 2 & 3 & 2 & 1 & 2 & 0 & 1 & 2 & 3 & 0 & 1 & 2 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 2}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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$(6,677)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & -1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & -1 & -1 & 0 & 2 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 2 & 0 & 1 & 0 & 0 & 2 & 1 & 1 & -1 & 0 & 0 & 2 & -1 & 1 & 1 & 0 & 0 & 2 & 1 & -1 & -1 & 1 & 0 & 0 & -1 & -1 & 1 & 0 & 0 & -1 & 1 & 0 & -1 & 0 \\ 4 & 5 & 6 & 3 & 4 & 2 & 4 & 5 & 5 & 3 & 2 & 1 & 3 & 4 & 1 & 2 & 4 & 0 & 2 & 3 & 3 & 2 & 0 & 1 & 1 & 3 & -1 & 1 & 2 & 2 & 0 & 0 & 1 & 1 & -1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {2, 6, 7}, {5, 6, 7}, {0, 1, 2, 8}, {0, 1, 3, 4, 8}}
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$(6,678)$ |
3 |
27 |
|
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9: $\begin{pmatrix}0 & 0 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -1 & 2 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}1 & 0 & 2 & 1 & 0 & -1 & 1 & 2 & 0 & 0 & 1 & 2 & 0 & -1 & 1 & 0 & -1 & 1 & 0 & -1 & 1 & 2 & 0 & 0 & -1 & 1 & 0 & -1 & 1 & -1 & 0 & 1 & 0 & -1 & 0 \\ 1 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & 0 & 2 & 2 & 0 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 2 & 1 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 4 & 5 & 2 & 3 & 5 & 6 & 3 & 1 & 4 & 4 & 2 & 0 & 3 & 5 & 2 & 3 & 5 & 1 & 3 & 4 & 1 & -1 & 2 & 2 & 4 & 0 & 2 & 3 & 0 & 3 & 1 & -1 & 1 & 2 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}}
Primitive collections: {{2, 4, 6}, {3, 5, 7}, {4, 6, 7}, {0, 1, 2, 8}, {0, 1, 3, 5, 8}}
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$(6,679)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & -1 & 0 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 4 & 5 & 3 & 4 & 3 & 2 & 4 & 3 & 2 & 5 & 3 & 1 & 4 & 3 & 1 & 2 & 4 & 2 & 0 & 3 & 2 & 1 & 3 & 3 & 1 & 2 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 0, 1, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 6}, {4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 1, 5, 8}}
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$(6,680)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & -1 & -1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}-1 & 0 & -2 & 1 & -1 & -1 & -2 & 0 & 0 & 1 & -1 & -2 & -1 & -2 & 1 & 0 & -2 & 0 & -1 & 1 & 0 & 1 & -1 & 0 & -2 & -1 & 0 & 1 & 1 & -1 & 0 & 1 & -1 & 0 & 0 & -1 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 5 & 5 & 4 & 4 & 3 & 4 & 5 & 4 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 2 & 2 & 3 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 5}, {4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 3, 6, 8}}
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$(6,681)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 5 & 6 & 5 & 4 & 5 & 3 & 4 & 5 & 4 & 2 & 3 & 3 & 4 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 3 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{3, 6}, {4, 5, 7}, {0, 1, 2, 8}}
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$(6,686)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & -1 & -1 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 4 & 2 & 1 & 3 & 2 & 4 & 0 & -1 & 1 & 3 & 4 & 0 & 2 & -1 & 1 & 3 & 2 & 1 & 3 & 0 & 2 & 1 & 2 & -1 & 0 & -1 & 1 & 3 & 0 & 2 & 0 & -1 & 1 & 0 \\ 4 & 3 & 4 & 4 & 3 & 3 & 2 & 4 & 4 & 3 & 2 & 1 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 2 & 2 & 2 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}, {0, 0, 0, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 1, 2, 7}, {3, 4, 8}}
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$(6,743)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -1 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 4 & 3 & 4 & 2 & 4 & 3 & 1 & 3 & 2 & 0 & 4 & 2 & 1 & 3 & 0 & 1 & 3 & 0 & 2 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {3, 7}, {0, 1, 2, 8}}
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$(6,858)$ |
3 |
25 |
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9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & -1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 1 & 3 & 2 & 2 & 1 & 1 & 3 & 2 & 2 & 0 & 3 & 1 & 1 & 0 & 2 & 0 & 2 & 1 & 1 & 0 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, -1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{3, 4}, {2, 5, 6, 7}, {4, 5, 6, 7}, {0, 1, 2, 8}, {0, 1, 3, 8}}
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$(6,912)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & -1 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}1 & 0 & 2 & 0 & 1 & 1 & 0 & -1 & 2 & -1 & 0 & 2 & 1 & 2 & -1 & 0 & 1 & 1 & -1 & 2 & 0 & 1 & 0 & -1 & 2 & 1 & 0 & -1 & -1 & 0 & 1 & 0 & -1 & 0 \\ 2 & 3 & 1 & 2 & 2 & 1 & 3 & 3 & 1 & 2 & 2 & 0 & 2 & 1 & 3 & 1 & 1 & 0 & 2 & 0 & 2 & 1 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 3 & 4 & 2 & 4 & 3 & 2 & 2 & 1 & 3 & 3 & 2 & 2 & 3 & 1 & 2 & 1 & 2 & 3 & 0 & 1 & 2 & 2 & 2 & 1 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 7}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 7}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {1, 2, 6, 7}, {3, 5, 6, 7}, {0, 1, 2, 8}, {0, 4, 8}}
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$(6,924)$ |
3 |
25 |
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9: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 3 & 2 & 3 & 1 & 3 & 2 & 1 & 1 & 0 & 2 & 3 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 1 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 7}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{0, 1, 2, 3}, {2, 4, 5, 7}, {4, 5, 6, 7}, {0, 1, 3, 8}, {6, 8}}
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$(6,929)$ |
3 |
25 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 5 & 4 & 5 & 3 & 5 & 4 & 2 & 3 & 4 & 3 & 2 & 4 & 3 & 2 & 3 & 2 & 3 & 1 & 1 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 2 & 3 & 4 & 3 & 2 & 3 & 3 & 1 & 2 & 3 & 2 & 2 & 1 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-2, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{0, 1}, {0, 4, 5, 7}, {4, 5, 6, 7}, {1, 2, 3, 8}, {2, 3, 6, 8}}
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$(6,931)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -1 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 3 & 4 & 2 & 3 & 1 & 2 & 4 & 0 & 2 & 3 & -1 & 1 & 3 & 1 & 0 & 2 & 0 & 2 & 1 & -1 & 3 & 1 & 0 & -1 & 2 & 0 & 1 & -1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
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$(6,939)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 4 & 3 & 3 & 2 & 2 & 2 & 1 & 3 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
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|
$(6,941)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 4 & 2 & 3 & 3 & 4 & 3 & 2 & 1 & 2 & 2 & 3 & 1 & 3 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,942)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 1 & 1 & 2 & 1 & 2 & 0 & 0 & 1 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 2 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 2 & 0 & 0 & 1 & 0 \\ 1 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 1 & 1 & 0 & 0 & 2 & 2 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 3 & 3 & 4 & 4 & 3 & 2 & 3 & 2 & 2 & 3 & 3 & 2 & 1 & 1 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 7}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {2, 6, 7}, {3, 5, 6, 7}, {0, 1, 2, 8}, {0, 1, 4, 8}}
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|
$(6,943)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 2 & 2 & 0 & 0 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 4 & 4 & 4 & 3 & 3 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 3 & 1 & 2 & 3 & 1 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 2 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 7}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3}, {2, 4, 5, 7}, {4, 5, 6, 7}, {0, 1, 3, 8}, {0, 6, 8}}
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$(6,947)$ |
3 |
28 |
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9: $\begin{pmatrix}1 & -1 & -1 & 0 & 0 & -1 & 1 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}-1 & 0 & -1 & -2 & 0 & -1 & 0 & -1 & -2 & -1 & 1 & -2 & -1 & 1 & 0 & 0 & -1 & 0 & -2 & 1 & 1 & -2 & 0 & -1 & -1 & -2 & 0 & 1 & -1 & 0 & -1 & 1 & -1 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 1 & 1 & 0 & 2 & 3 & 2 & 1 & 2 & 1 & 3 & 0 & 1 & 2 & 3 & 0 & 2 & 2 & 1 & 0 & 3 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 1 & 0 \\ 3 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 1 & 3 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, 0, 0, 1, 1, 1}, {0, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 7}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 5}, {3, 4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 6, 8}}
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$(6,948)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & -1 & -1 & 0 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}-2 & -2 & -1 & -2 & 0 & -1 & -2 & -2 & -1 & 0 & -1 & -1 & 0 & -2 & -1 & 0 & -2 & -2 & 0 & -1 & 0 & -1 & -2 & 0 & -1 & -1 & 0 & 0 & -1 & -1 & 0 & 0 \\ 3 & 2 & 3 & 1 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 3 & 3 & 0 & 1 & 1 & 2 & 0 & 3 & 2 & 1 & 1 & 1 & 2 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 2 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, -1, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 7}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 5}, {3, 4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 6, 8}}
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$(6,949)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 4 & 3 & 1 & 2 & 4 & 3 & 1 & 2 & 3 & 1 & 0 & 2 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
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$(6,950)$ |
3 |
25 |
|
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9: $\begin{pmatrix}0 & 0 & -1 & 0 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}-1 & 0 & -1 & -1 & 0 & -1 & -1 & 0 & 0 & -1 & 0 & -1 & 0 & 0 & 0 & -1 & -1 & 0 & 0 & -1 & -1 & 0 & -1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 1 & 2 & 3 & 2 & 3 & 1 & 3 & 2 & 1 & 0 & 1 & 3 & 2 & 1 & 2 & 0 & 3 & 2 & 1 & 1 & 2 & 0 & 1 & 0 \\ 4 & 3 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, -1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 7}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 5}, {3, 4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 1, 6, 8}}
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$(6,972)$ |
3 |
27 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
37: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 6 & 5 & 4 & 5 & 3 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 4 & 2 & 4 & 3 & 2 & 3 & 1 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 6 & 4 & 5 & 5 & 4 & 5 & 3 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}, {0, 0, 1, 1, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 1, 7}, {2, 3, 8}}
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|
$(6,1039)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
37: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 3 & 3 & 1 & 3 & 2 & 2 & 3 & 2 & 1 & 1 & 2 & 1 & 3 & 0 & 1 & 3 & 2 & 2 & 0 & 2 & 1 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 2 & 0 & 1 & 0 \\ 6 & 6 & 5 & 6 & 5 & 4 & 4 & 5 & 3 & 4 & 4 & 3 & 3 & 4 & 4 & 3 & 3 & 2 & 4 & 3 & 1 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 1, -1, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {2, 3, 7}, {0, 1, 8}}
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|
$(6,1059)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & -2 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
40: $\begin{pmatrix}1 & 2 & 1 & 2 & 0 & 0 & -1 & 1 & 2 & 2 & 1 & 0 & -1 & 2 & 1 & -1 & 0 & 1 & 2 & 0 & -1 & 0 & -1 & 1 & 2 & 2 & -1 & 1 & 0 & 1 & 2 & 0 & -1 & 1 & 2 & 0 & -1 & 1 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 5 & 5 & 4 & 6 & 5 & 6 & 4 & 3 & 4 & 3 & 4 & 5 & 3 & 4 & 4 & 3 & 3 & 2 & 4 & 3 & 3 & 4 & 2 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, -2, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5}, {4, 6, 7}, {0, 1, 8}}
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$(6,1470)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 2 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}3 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 5 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5, 6}, {2, 7}, {0, 1, 8}}
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$(6,1845)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 1 & 0 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 2 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 8 & 7 & 8 & 6 & 7 & 5 & 6 & 6 & 5 & 6 & 5 & 4 & 5 & 4 & 3 & 4 & 3 & 3 & 4 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 5}, {3, 4, 6, 7}, {0, 1, 8}}
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$(6,1849)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 4 & 4 & 0 & 2 & 0 & 1\end{pmatrix}$
43: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 6 & 6 & 6 & 5 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 14 & 13 & 12 & 12 & 11 & 11 & 10 & 10 & 9 & 10 & 9 & 9 & 8 & 8 & 7 & 8 & 7 & 7 & 8 & 7 & 6 & 6 & 5 & 6 & 5 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 0, -2, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {2, 6, 7}, {0, 1, 8}}
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$(6,1863)$ |
3 |
27 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 0 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 2 & 0 & 1 & 0 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 8 & 8 & 7 & 6 & 7 & 6 & 6 & 5 & 5 & 5 & 6 & 4 & 5 & 6 & 4 & 4 & 3 & 5 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 4 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, -1, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {2, 6, 7}, {0, 1, 8}}
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$(6,1964)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 2 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 8 & 7 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 5 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
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$(6,1988)$ |
3 |
27 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & -1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
41: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 3 & 2 & 4 & 1 & 3 & 2 & 4 & 1 & 3 & 4 & 2 & 3 & 2 & 3 & 1 & 1 & 2 & 3 & 0 & 2 & 1 & 3 & 1 & 2 & 0 & 2 & 3 & 1 & 1 & 2 & 0 & 0 & 1 & 2 & 1 & 0 & 0 & 2 & 1 & 0 \\ 6 & 6 & 6 & 5 & 6 & 5 & 5 & 4 & 5 & 4 & 3 & 4 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, -1, 1, 1, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {2, 3, 7}, {0, 1, 8}}
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$(6,2010)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & -1 & 1 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
39: $\begin{pmatrix}1 & 2 & 0 & -1 & 1 & 0 & 2 & 2 & 1 & -1 & 2 & 0 & 1 & 0 & -1 & 1 & 2 & 1 & -1 & 0 & 2 & 0 & -1 & -1 & 2 & 1 & 2 & 1 & 0 & -1 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 5 & 3 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 4 & 3 & 2 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 1, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5}, {4, 6, 7}, {0, 1, 8}}
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$(6,2144)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, -1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
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$(6,2276)$ |
3 |
23 |
|
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & -1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}4 & 3 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 3 & 1 & 2 & 2 & 0 & 3 & 1 & 1 & 2 & 2 & 0 & 3 & 1 & 1 & 2 & 2 & 0 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}}
Primitive collections: {{1, 2, 3, 4, 6}, {5, 7}, {2, 3, 4, 6, 7}, {0, 1, 8}, {0, 5, 8}}
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$(6,2282)$ |
3 |
27 |
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9: $\begin{pmatrix}-1 & -1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}1 & 2 & 0 & -1 & 1 & 0 & 2 & 1 & -1 & 1 & 2 & 0 & 2 & 0 & -1 & 1 & -1 & 0 & 1 & 0 & 2 & -1 & 1 & 0 & 2 & 1 & -1 & 1 & 2 & 0 & 1 & -1 & 0 & 2 & 0 & -1 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 6 & 5 & 5 & 4 & 4 & 5 & 4 & 3 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {-1, -1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
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|
$(6,2307)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}1 & 1 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ -1 & -1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ -1 & -1 & 2 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
37: $\begin{pmatrix}3 & 2 & 4 & 1 & 3 & 4 & 2 & 2 & 3 & 1 & 3 & 2 & 1 & 0 & 2 & 3 & 1 & 1 & 0 & 2 & 0 & 1 & 2 & 1 & -1 & 0 & 2 & 0 & -1 & 1 & 1 & 0 & -1 & 0 & -1 & 1 & 0 \\ 0 & 1 & -1 & 2 & 0 & -1 & 1 & 0 & 0 & 2 & -1 & 1 & 1 & 2 & 0 & -1 & 1 & 0 & 2 & 0 & 1 & 1 & -1 & 0 & 2 & 1 & -1 & 0 & 2 & 0 & -1 & 1 & 1 & 0 & 1 & -1 & 0 \\ 2 & 3 & 0 & 4 & 1 & -1 & 2 & 2 & 0 & 3 & 0 & 1 & 3 & 4 & 1 & -1 & 2 & 2 & 3 & 0 & 3 & 1 & 0 & 1 & 4 & 2 & -1 & 2 & 3 & 0 & 0 & 1 & 3 & 1 & 2 & -1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1, 3, 4, 6}, {2, 5, 7}, {3, 4, 6, 7}, {0, 1, 8}, {2, 5, 8}}
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|
$(6,2308)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 2 & 3 & 4 & 1 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 5 & 4 & 3 & 4 & 3 & 2 & 4 & 3 & 2 & 3 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}, {0, 0, 1, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 1, 7}, {2, 3, 4, 8}}
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$(6,2311)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 2 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 3 & 1 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 6 & 5 & 4 & 5 & 3 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 1, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {2, 3, 7}, {0, 1, 8}}
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$(6,2314)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 0 & 0 & 2 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 6 & 3 & 4 & 4 & 3 & 5 & 3 & 4 & 2 & 4 & 3 & 4 & 3 & 2 & 1 & 2 & 1 & 3 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5}, {4, 6, 7}, {0, 1, 8}}
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$(6,2315)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 2 & 4 & 0 & 2 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 5 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 12 & 11 & 10 & 10 & 9 & 9 & 8 & 8 & 7 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 3 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, -2, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {2, 3, 6, 7}, {0, 1, 8}}
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$(6,2329)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 2 & 0 & 2 & 2 & 2 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 8 & 7 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 3 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
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$(6,2330)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 2 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 5 & 5 & 6 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 4 & 3 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
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$(6,2331)$ |
3 |
27 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 2 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 2 & 0 & 2 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 8 & 7 & 8 & 7 & 7 & 6 & 5 & 6 & 6 & 6 & 5 & 5 & 5 & 6 & 4 & 5 & 3 & 4 & 3 & 4 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {2, 6, 7}, {0, 1, 8}}
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|
$(6,2332)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & -1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 3 & 2 & 4 & 1 & 3 & 0 & 2 & 4 & 1 & 3 & 0 & 2 & 4 & 3 & 2 & 3 & 1 & 2 & 3 & 0 & 1 & 0 & 2 & 1 & 1 & 3 & 0 & 0 & 2 & 1 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, -1, 1, 1, 1, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {2, 3, 4, 7}, {0, 1, 8}}
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|
$(6,2334)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}3 & 2 & 1 & 0 & 3 & 2 & -1 & 1 & 3 & 0 & 3 & -1 & 2 & 1 & 2 & 1 & 0 & 3 & -1 & 0 & 2 & 3 & 2 & -1 & 1 & 1 & 0 & 3 & -1 & 0 & -1 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 4 & 3 & 3 & 4 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -2, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
|
|
$(6,2335)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}-1 & -1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}2 & 3 & 1 & 0 & 2 & -1 & 3 & 1 & 2 & 0 & 3 & 1 & -1 & 2 & 0 & 2 & 3 & 1 & -1 & 0 & 1 & 2 & 3 & -1 & 1 & 0 & 0 & 2 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 4 & 3 & 4 & 2 & 3 & 2 & 3 & 1 & 2 & 3 & 2 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {-1, -1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
|
|
$(6,2336)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 1 & 2 & 4 & 3 & 3 & 1 & 3 & 2 & 2 & 3 & 2 & 1 & 1 & 2 & 1 & 3 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 4 & 3 & 1 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 1, 1, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {2, 3, 4, 7}, {0, 1, 8}}
|
|
$(6,2341)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}3 & 2 & 3 & 1 & 0 & 2 & 1 & 3 & 0 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 3 & 0 & 0 & 2 & 1 & 0 & 3 & 1 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
|
|
$(6,2342)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -2 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}2 & 1 & 3 & 0 & 2 & -1 & -2 & 1 & 3 & 0 & -1 & 2 & 3 & 1 & -2 & 2 & 3 & 0 & 1 & 0 & 2 & 3 & -1 & -1 & -2 & 1 & 2 & 1 & 0 & 3 & 0 & -1 & 2 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 4 & 4 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, -2, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {0, 1, 8}}
|
|
$(6,2343)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}-1 & -1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}1 & 2 & 0 & -1 & 3 & 1 & 0 & -2 & 2 & 1 & -1 & 2 & 3 & 0 & -2 & 2 & 3 & 1 & 0 & 2 & -1 & 1 & 3 & -1 & 1 & 0 & 2 & 0 & 1 & -1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 4 & 2 & 3 & 3 & 4 & 2 & 2 & 3 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {-1, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {0, 1, 8}}
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|
$(6,2344)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 0 & 3 & 3 & 0 & 1 & 2 & 3 & 2 & 0 & 3 & 1 & 2 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 2 & 3 & 4 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
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$(6,2345)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 3 & 1 & 0 & 2 & -1 & 3 & 1 & 3 & 0 & 2 & 1 & 2 & -1 & 3 & 0 & 3 & 2 & 1 & -1 & 0 & 1 & 2 & 3 & 1 & 0 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 4 & 3 & 4 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {0, 1, 8}}
|
|
$(6,2346)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}3 & 3 & 2 & 3 & 2 & 1 & 3 & 3 & 2 & 1 & 3 & 0 & 2 & 2 & 3 & 1 & 0 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 2 & 1 & 2 & 3 & 1 & 4 & 2 & 1 & 0 & 2 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {0, 1, 8}}
|
|
$(6,2347)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & -1 & -1 & -1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}-2 & -3 & -1 & -2 & -3 & -3 & -2 & -1 & 0 & -3 & -1 & 1 & -2 & 0 & -2 & -3 & 0 & 1 & -1 & -3 & -2 & -1 & 1 & 0 & 0 & -1 & -2 & 1 & -1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 5 & 3 & 3 & 3 & 3 & 4 & 4 & 2 & 2 & 2 & 3 & 3 & 3 & 1 & 1 & 2 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 2}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
|
|
$(6,2348)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & 0 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 0 & 2 & 0 & 1 & 0 & 2 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, -1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
|
|
$(6,2349)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}0 & 1 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & -1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & -1 & 2 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}2 & 3 & 1 & 2 & 1 & 3 & 1 & 2 & 1 & 3 & 0 & 2 & 1 & 2 & 0 & 2 & 0 & 1 & 0 & 2 & -1 & 1 & 0 & 1 & -1 & 1 & -1 & 0 & 1 & 0 & -1 & -1 & 0 & 0 & -1 & 0 \\ 1 & 0 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 1 & 0 & 1 & 0 \\ 4 & 2 & 5 & 3 & 4 & 1 & 4 & 2 & 3 & 0 & 5 & 2 & 3 & 1 & 4 & 1 & 4 & 2 & 3 & 0 & 5 & 2 & 3 & 1 & 4 & 1 & 4 & 2 & 0 & 2 & 3 & 3 & 1 & 1 & 2 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}}
Primitive collections: {{1, 3, 4, 6}, {2, 5, 7}, {3, 4, 6, 7}, {0, 1, 8}, {0, 2, 5, 8}}
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|
$(6,2350)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}1 & 1 & -1 & -1 & 1 & -1 & 1 & 0 & 0 \\ -1 & -1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ -1 & -1 & 2 & 2 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}1 & 0 & 2 & 1 & 3 & -1 & 0 & 2 & 0 & 3 & 1 & -1 & -1 & 0 & 1 & 2 & 0 & -2 & 1 & 2 & -1 & 1 & -1 & -2 & 0 & 2 & -1 & 1 & -2 & 0 & -1 & 0 & 1 & -2 & 0 & 1 & -1 & 0 \\ 1 & 2 & 0 & 1 & -1 & 3 & 2 & 0 & 1 & -1 & 1 & 3 & 2 & 2 & 0 & 0 & 1 & 3 & 1 & -1 & 2 & 0 & 1 & 3 & 1 & -1 & 2 & 0 & 2 & 0 & 1 & 1 & -1 & 2 & 0 & -1 & 1 & 0 \\ 4 & 5 & 2 & 3 & 0 & 6 & 4 & 1 & 4 & -1 & 2 & 5 & 5 & 3 & 2 & 0 & 3 & 6 & 1 & 0 & 4 & 1 & 4 & 5 & 2 & -1 & 3 & 0 & 5 & 2 & 3 & 1 & 0 & 4 & 1 & -1 & 2 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 1, 4, 6}, {2, 3, 5, 7}, {4, 6, 7}, {0, 1, 8}, {2, 3, 5, 8}}
|
|
$(6,2351)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 0 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 6 & 5 & 4 & 4 & 3 & 4 & 5 & 3 & 3 & 4 & 4 & 3 & 2 & 3 & 4 & 3 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
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|
$(6,2352)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 2 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}1 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & -1 & 1 & 0 & 2 & -1 & 1 & 2 & 0 & 2 & 0 & 1 & -1 & 0 & 2 & -1 & -1 & 1 & 1 & 2 & 0 & -1 & 1 & 0 & 0 & -1 & 1 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 4 & 3 & 5 & 3 & 6 & 4 & 4 & 2 & 5 & 3 & 2 & 4 & 1 & 3 & 2 & 4 & 3 & 1 & 4 & 3 & 2 & 1 & 0 & 2 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 6}, {2, 5, 7}, {0, 1, 8}}
|
|
$(6,2411)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 1 & 1 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 0 & 1 & 0 & 1 & 2 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}, {0, 0, 1, 1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 1, 7}, {2, 3, 8}}
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|
$(6,3609)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}3 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 2 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5, 6}, {2, 7}, {0, 1, 8}}
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|
$(6,3686)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 4 & 3 & 4 & 3 & 2 & 2 & 3 & 1 & 1 & 2 & 4 & 3 & 0 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 1 & 0 & 1 & 2 & 0 & 1 & 3 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, -1, 1, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 5, 6}, {2, 4, 7}, {0, 1, 8}}
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|
$(6,4076)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & -1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 3 & 2 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 4}, {3, 5, 6, 7}, {0, 1, 8}}
|
|
$(6,4293)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}3 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 4 & 3 & 3 & 2 & 4 & 2 & 3 & 1 & 3 & 2 & 2 & 1 & 3 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 0, 1, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5, 6}, {4, 7}, {0, 1, 8}}
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|
$(6,4505)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 3 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 5 & 4 & 3 & 4 & 2 & 3 & 4 & 2 & 3 & 2 & 3 & 1 & 3 & 2 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, -1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {2, 3, 6, 7}, {0, 1, 8}}
|
|
$(6,4521)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 2 & 2 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 3 & 2 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 3 & 2 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 1 & 3 & 2 & 2 & 1 & 1 & 1 & 1 & 2 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
|
|
$(6,4801)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 1 & 1 & 3 & 2 & 1 & 2 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, -1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
|
|
$(6,5126)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}0 & -1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 3 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{4, 5}, {1, 2, 3, 6, 7}, {2, 3, 5, 6, 7}, {0, 1, 8}, {0, 4, 8}}
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|
$(6,5162)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 4 & 3 & 4 & 4 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 2 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4}, {2, 3, 4, 5, 7}, {5, 6, 7}, {0, 1, 8}, {0, 6, 8}}
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$(6,5213)$ |
3 |
23 |
|
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9: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ -1 & -1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}4 & 3 & 4 & 3 & 4 & 4 & 3 & 2 & 4 & 3 & 2 & 3 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 2 & 0 & 1 & 0 & -1 & 0 & 2 & -1 & 1 & 1 & 0 & -1 & 0 & 2 & -1 & 1 & 1 & 0 & -1 & 0 & 2 & -1 & 1 & 1 & 0 & 1 & -1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {1, 1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{0, 1, 2, 3, 4}, {2, 3, 4, 5, 7}, {5, 6, 7}, {0, 1, 8}, {6, 8}}
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$(6,5228)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 2 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
35: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 7 & 6 & 7 & 5 & 6 & 5 & 6 & 4 & 5 & 4 & 5 & 3 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 3 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-3, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {0, 5, 7}, {3, 4, 5, 6, 7}, {1, 2, 8}, {2, 3, 4, 6, 8}}
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|
$(6,5229)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 4 & 5 & 3 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 3 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-2, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {0, 5, 7}, {3, 4, 5, 6, 7}, {1, 2, 8}, {2, 3, 4, 6, 8}}
|
|
$(6,5231)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & -1 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 0 & 1 & 3 & 2 & 0 & 1 & 2 & 3 & 0 & 2 & 1 & 0 & 2 & 1 & 3 & 2 & 0 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 0 \\ 5 & 5 & 4 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}, {0, 0, 1, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 1, 7}, {2, 3, 4, 8}}
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|
$(6,5238)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 3 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 1 & 0 \\ 3 & 3 & 2 & 3 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 1, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {2, 3, 7}, {0, 1, 8}}
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|
$(6,5241)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 1 & 4 & 3 & 2 & 2 & 3 & 1 & 3 & 1 & 2 & 2 & 1 & 0 & 3 & 2 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 1, 0, 1, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 5, 6}, {2, 4, 7}, {0, 1, 8}}
|
|
$(6,5255)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 5 & 4 & 5 & 4 & 5 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 1 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -2, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
|
|
$(6,5263)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 1 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
|
|
$(6,5264)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 3 & 2 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
|
|
$(6,5266)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 2 & 2 & 0 & 0 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 5 & 3 & 4 & 4 & 2 & 3 & 4 & 3 & 3 & 2 & 2 & 4 & 3 & 1 & 2 & 3 & 2 & 2 & 3 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, -1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 4, 5}, {3, 6, 7}, {0, 1, 8}}
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|
$(6,5277)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 5 & 4 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 4 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {2, 3, 6, 7}, {0, 1, 8}}
|
|
$(6,5280)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 4 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {2, 3, 6, 7}, {0, 1, 8}}
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|
$(6,5281)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 3 & 2 & 3 & 3 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 5 & 5 & 4 & 5 & 3 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 2 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {2, 3, 6, 7}, {0, 1, 8}}
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|
$(6,5283)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
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|
$(6,5287)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 1 & 1 & 0 & 2 & 2 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 2 & 0 & 1 & 0 & 1 & 2 & 1 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 2 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, -1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
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|
$(6,5289)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & -1 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}2 & 1 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 2 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 1 & 0 \\ 1 & 2 & 1 & 1 & 3 & 2 & 2 & 0 & 3 & 1 & 1 & 0 & 2 & 2 & 0 & 1 & -1 & 1 & 2 & 0 & 0 & 1 & 1 & -1 & -1 & 0 & 0 & 1 & -1 & -1 & 0 & 0 & -1 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, 1, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 4, 5}, {1, 3, 6, 7}, {3, 5, 6, 7}, {0, 1, 8}, {0, 2, 4, 8}}
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$(6,5290)$ |
3 |
28 |
|
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9: $\begin{pmatrix}0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 4 & 3 & 4 & 4 & 4 & 3 & 4 & 3 & 2 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 3 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 4 & 3 & 3 & 2 & 4 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 1, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 1, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 3, 4}, {3, 4, 5, 7}, {2, 5, 6, 7}, {0, 1, 8}, {0, 2, 6, 8}}
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$(6,5295)$ |
3 |
27 |
|
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9: $\begin{pmatrix}-1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 3 & 1 & 2 & 3 & 0 & 2 & 1 & 1 & 0 & 3 & 2 & 0 & 3 & 1 & 0 & 2 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 0 \\ 2 & 1 & 0 & 2 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 2 & 1 & 1 & 0 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {-1, 1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4}, {2, 3, 4, 5, 7}, {5, 6, 7}, {0, 1, 8}, {0, 6, 8}}
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$(6,5296)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 3 & 2 & 1 & 3 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 1 & 0 & 0 & 2 & 0 & 1 & 1 & 2 & 1 & 0 & 0 & 2 & 0 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4}, {2, 3, 4, 5, 7}, {5, 6, 7}, {0, 1, 8}, {0, 6, 8}}
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$(6,5297)$ |
3 |
27 |
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9: $\begin{pmatrix}-1 & 1 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
32: $\begin{pmatrix}2 & 2 & 2 & 1 & 3 & 1 & 2 & 3 & 0 & 1 & 2 & 1 & 3 & 2 & 0 & 0 & -1 & 1 & 3 & -1 & 2 & 1 & 0 & 2 & 0 & -1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 2 & 1 & 0 & 2 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 2 & 1 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 1 & 2 & 2 & 2 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 0, 0, 1, 1}, {-1, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 6}, {4, 5, 7}, {2, 3, 4, 6, 7}, {0, 1, 8}, {0, 5, 8}}
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$(6,5298)$ |
3 |
27 |
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}3 & 3 & 2 & 2 & 3 & 1 & 2 & 3 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 3 & 2 & 2 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 2 & 1 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 0 & 0 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 6}, {4, 5, 7}, {2, 3, 4, 6, 7}, {0, 1, 8}, {0, 5, 8}}
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$(6,5299)$ |
3 |
28 |
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9: $\begin{pmatrix}0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & -2 & 1 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & -1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
38: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 1 & 2 & 0 & 3 & 1 & 2 & 3 & 0 & 1 & 2 & 1 & 0 & -1 & 1 & -1 & 2 & 0 & 3 & 1 & 3 & 1 & 0 & 2 & 2 & 0 & -1 & 1 & -1 & 2 & 1 & 0 & 1 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 3 & 1 & 3 & 2 & 1 & 0 & 2 & 3 & 0 & 1 & 2 & 0 & 1 & 2 & 3 & 1 & 2 & 0 & 1 & 3 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 1, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -2, 1, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 3, 4}, {3, 4, 5, 7}, {2, 5, 6, 7}, {0, 1, 8}, {0, 2, 6, 8}}
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$(6,5301)$ |
3 |
28 |
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9: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ -1 & -1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}3 & 2 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 3 & 3 & 2 & 1 & 1 & 2 & 3 & 2 & 0 & 0 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 3 & 1 & 2 & 1 & 0 & 1 & 2 & 3 & 0 & 0 & 2 & 0 & -1 & 1 & 1 & 2 & 0 & -1 & 1 & 3 & 2 & 1 & -1 & 0 & 1 & -1 & 0 & 2 & 1 & 0 & 1 & -1 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 0 & 1 & 1 & 2 & 1 & 1 & 0 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {1, 1, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, 1, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1, 3, 4}, {3, 4, 5, 7}, {2, 5, 6, 7}, {0, 1, 8}, {2, 6, 8}}
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$(6,5302)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}1 & 1 & -1 & 1 & 0 & -1 & 1 & 0 & 0 \\ -1 & -1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}2 & 1 & 2 & 3 & 1 & 0 & 3 & 2 & 1 & 3 & 1 & 0 & 2 & 0 & 2 & 2 & 3 & -1 & 1 & -1 & 0 & 0 & 1 & 2 & -1 & 2 & 1 & 1 & 0 & 1 & 0 & -1 & -1 & 1 & 0 & 0 \\ 1 & 2 & 0 & 0 & 1 & 3 & -1 & 1 & 2 & 0 & 0 & 2 & 0 & 1 & 1 & -1 & -1 & 3 & 1 & 2 & 2 & 0 & 0 & 0 & 1 & -1 & 1 & -1 & 1 & 0 & 0 & 2 & 1 & -1 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 2 & 2 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 7}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1, 3, 6}, {2, 4, 5, 7}, {3, 4, 6, 7}, {0, 1, 8}, {2, 5, 8}}
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|
$(6,5303)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 2 & 0 & 2 & 0 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
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|
$(6,5304)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
31: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 0 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 4, 5}, {3, 6, 7}, {0, 1, 8}}
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|
$(6,5305)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & -1 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 2 & 1 & 1 & 0 & 2 & 2 & 0 & 0 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 2 & 2 & -1 & 0 & 1 & 0 & 2 & -1 & 0 & 2 & 1 & 0 & -1 & 1 & -1 & 0 & 1 & -1 & 1 & 0 & 0 & -1 & 0 & -1 & 0 \\ 4 & 4 & 4 & 3 & 4 & 2 & 3 & 3 & 3 & 2 & 4 & 3 & 2 & 2 & 3 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 0 & 1 & 2 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 4, 5}, {3, 6, 7}, {0, 1, 8}}
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|
$(6,5306)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & -1 & -1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
33: $\begin{pmatrix}3 & 3 & 2 & 3 & 1 & 2 & 2 & 3 & 3 & 1 & 1 & 3 & 2 & 2 & 0 & 1 & 1 & 2 & 3 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 \\ -1 & -2 & 0 & -1 & 1 & -1 & 0 & -2 & -1 & 0 & 1 & -2 & 0 & -1 & 1 & 0 & 1 & -1 & -2 & -2 & -1 & 1 & -2 & -1 & 0 & 0 & 1 & 0 & -2 & -1 & 0 & -1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 2 & 3 & 2 & 1 & 1 & 0 & 2 & 2 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
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|
$(6,5307)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 2 & 0 & 2 & 0 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 6}, {4, 5, 7}, {0, 1, 8}}
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$(6,5308)$ |
3 |
28 |
|
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9: $\begin{pmatrix}0 & 1 & -1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & -1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
36: $\begin{pmatrix}1 & 1 & 0 & 2 & 1 & 2 & 0 & 0 & 1 & -1 & 2 & 0 & 0 & 1 & -1 & 1 & 2 & -1 & 0 & -1 & 1 & 2 & 2 & 0 & -1 & 1 & 0 & 0 & -1 & 1 & 0 & -1 & 1 & -1 & 0 & 0 \\ 2 & 1 & 3 & 1 & 2 & 0 & 2 & 1 & 1 & 3 & 1 & 3 & 2 & 2 & 2 & 0 & 0 & 1 & 1 & 3 & 1 & 1 & 0 & 2 & 2 & 0 & 0 & 1 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 \\ 3 & 3 & 3 & 2 & 2 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 3 & 2 & 1 & 3 & 2 & 2 & 1 & 0 & 0 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 3, 6}, {2, 4, 5, 7}, {3, 4, 6, 7}, {0, 1, 8}, {0, 2, 5, 8}}
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$(6,6550)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 5 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 5, 6}, {0, 7}, {1, 8}}
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$(6,7027)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 1 & 0 & 0 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 5}, {2, 3, 4, 6, 7}, {0, 8}}
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$(6,7209)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}4 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 5}, {6, 7}, {0, 8}}
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$(6,7383)$ |
3 |
17 |
|
|
9: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ -1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
17: $\begin{pmatrix}5 & 5 & 4 & 5 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 1 & 2 & 1 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {-1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{0, 1, 2, 3, 4, 5}, {1, 2, 3, 4, 5, 7}, {6, 7}, {0, 8}, {6, 8}}
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$(6,7418)$ |
3 |
17 |
|
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \\ 3 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-4, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {0, 7}, {2, 3, 4, 5, 6, 7}, {1, 8}, {2, 3, 4, 5, 6, 8}}
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$(6,7419)$ |
3 |
17 |
|
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \\ 2 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-3, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {0, 7}, {2, 3, 4, 5, 6, 7}, {1, 8}, {2, 3, 4, 5, 6, 8}}
|
|
$(6,7420)$ |
3 |
17 |
|
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-2, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 7}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {0, 7}, {2, 3, 4, 5, 6, 7}, {1, 8}, {2, 3, 4, 5, 6, 8}}
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$(6,7421)$ |
3 |
20 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 3 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 7 & 7 & 6 & 6 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 2 & 4 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 1, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 7}, {1, 2, 3, 4, 8}}
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$(6,7424)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 7 & 7 & 6 & 5 & 6 & 5 & 4 & 5 & 3 & 4 & 5 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 7}, {1, 2, 3, 8}}
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$(6,7427)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 4 & 3 & 1 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 3 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 1, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 7}, {1, 2, 3, 8}}
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$(6,7431)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & -2 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 0 & 1 & -1 & 2 & 3 & 0 & 1 & 2 & -1 & 3 & 0 & 1 & -1 & 2 & 3 & 0 & 1 & -1 & 2 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 1, 1, -2, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 5}, {4, 6, 7}, {0, 8}}
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$(6,7432)$ |
3 |
20 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 3 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 3 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 1, 1, -3, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {1, 2, 3, 6, 7}, {0, 8}}
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$(6,7447)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 6}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 4, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5, 6}, {0, 7}, {1, 2, 8}}
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$(6,7461)$ |
3 |
24 |
|
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9: $\begin{pmatrix}0 & 1 & 1 & 0 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 1, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 5}, {3, 4, 6, 7}, {0, 8}}
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$(6,7464)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 2 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 2 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 7 & 7 & 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 8 & 7 & 7 & 6 & 6 & 6 & 5 & 5 & 5 & 4 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 1, 0, -2, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {1, 2, 6, 7}, {0, 8}}
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$(6,7466)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 1, -1, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {1, 2, 6, 7}, {0, 8}}
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|
$(6,7498)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 2 & 0 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -2, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 2}, {3, 4, 5, 6, 7}, {0, 8}}
|
|
$(6,7499)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 2}, {3, 4, 5, 6, 7}, {0, 8}}
|
|
$(6,7500)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{1, 2}, {3, 4, 5, 6, 7}, {0, 8}}
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|
$(6,7501)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 0, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {1, 6, 7}, {0, 8}}
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|
$(6,7502)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ -1 & 1 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 6 & 4 & 3 & 5 & 4 & 2 & 3 & 4 & 1 & 3 & 2 & 0 & 4 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {-1, 1, 1, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 7}, {1, 2, 3, 4, 8}}
|
|
$(6,7510)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ -2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 3 & 5 & 2 & 4 & 1 & 3 & 4 & 0 & 3 & -1 & 2 & 2 & 1 & 1 & 4 & 0 & 3 & -1 & 0 & 2 & -1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {-2, 1, 1, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 7}, {1, 2, 3, 4, 8}}
|
|
$(6,7511)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}-3 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}4 & 3 & 2 & 1 & 0 & 4 & 4 & 3 & -1 & -2 & 2 & 3 & 2 & 1 & 0 & 1 & 4 & 0 & -1 & -1 & 3 & -2 & -2 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {-3, 1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 5}, {6, 7}, {0, 8}}
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|
$(6,7512)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 2 & 4 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 7}, {1, 2, 3, 4, 8}}
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|
$(6,7518)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ -1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 3 & 4 & 1 & 3 & 2 & 0 & 4 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {-1, 1, 1, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 7}, {1, 2, 3, 4, 8}}
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|
$(6,7519)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}-2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}4 & 3 & 2 & 1 & 4 & 4 & 3 & 0 & -1 & 3 & 2 & 1 & 2 & 4 & 0 & 1 & 0 & -1 & 3 & -1 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {-2, 1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 5}, {6, 7}, {0, 8}}
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|
$(6,7520)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 3 & 4 & 2 & 4 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 7}, {1, 2, 3, 4, 8}}
|
|
$(6,7521)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}-1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}4 & 3 & 2 & 4 & 1 & 4 & 3 & 0 & 2 & 3 & 4 & 1 & 2 & 0 & 3 & 1 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {-1, 1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 5}, {6, 7}, {0, 8}}
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|
$(6,7522)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}-2 & 1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}3 & 2 & 1 & 4 & 4 & 0 & 3 & -1 & 3 & 2 & -2 & 1 & 2 & 4 & 0 & 1 & 3 & -1 & 0 & 2 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {-2, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 6}, {5, 7}, {0, 8}}
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$(6,7523)$ |
3 |
20 |
|
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}4 & 3 & 4 & 2 & 3 & 4 & 1 & 2 & 4 & 3 & 0 & 1 & 3 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 5}, {6, 7}, {0, 8}}
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$(6,7524)$ |
3 |
20 |
|
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9: $\begin{pmatrix}-1 & 1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}3 & 2 & 4 & 1 & 4 & 3 & 0 & 2 & 3 & -1 & 1 & 4 & 2 & 0 & 3 & 1 & -1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {-1, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 6}, {5, 7}, {0, 8}}
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$(6,7525)$ |
3 |
20 |
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9: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}4 & 3 & 4 & 2 & 3 & 4 & 1 & 2 & 4 & 3 & 0 & 1 & 3 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4, 6}, {5, 7}, {0, 8}}
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$(6,7526)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ -1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 4 & 1 & 3 & 3 & 2 & 4 & 1 & 2 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {-1, 1, 1, 1, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 7}, {1, 2, 3, 8}}
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|
$(6,7527)$ |
3 |
24 |
|
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9: $\begin{pmatrix}-1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 1 & 3 & 3 & 2 & 0 & -1 & 1 & 2 & 3 & 0 & 1 & 0 & 3 & 2 & -1 & 2 & 1 & -1 & 3 & 1 & 0 & -1 & 2 & 0 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 2 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 1, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 5}, {4, 6, 7}, {0, 8}}
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$(6,7528)$ |
3 |
23 |
|
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9: $\begin{pmatrix}1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 0 \\ 2 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 7 & 7 & 6 & 6 & 6 & 5 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 4 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0 \\ 8 & 7 & 7 & 6 & 6 & 6 & 6 & 5 & 5 & 5 & 4 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 1, 1, -2, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 4, 5}, {4, 5, 7}, {1, 2, 3, 6, 7}, {0, 8}, {1, 2, 3, 6, 8}}
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$(6,7531)$ |
3 |
24 |
|
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9: $\begin{pmatrix}-1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 0 & 2 & 1 & 0 \\ 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {-1, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3}, {4, 5, 6, 7}, {0, 8}}
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$(6,7532)$ |
3 |
25 |
|
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9: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 3 & 1 & 3 & 2 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 5 & 4 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 1, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 3, 4, 5}, {3, 4, 5, 7}, {1, 2, 6, 7}, {0, 8}, {1, 2, 6, 8}}
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$(6,7534)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}1 & -1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ -1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}4 & 3 & 4 & 3 & 2 & 4 & 2 & 3 & 1 & 4 & 3 & 1 & 2 & 0 & 3 & 2 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 0 \\ 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, -1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 2, 3, 4, 5}, {2, 3, 4, 5, 7}, {1, 6, 7}, {0, 8}, {1, 6, 8}}
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$(6,7535)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}1 & -2 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ -1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}3 & 2 & 2 & 1 & 4 & 3 & 1 & 0 & 3 & 2 & 0 & 4 & -1 & 2 & 1 & -1 & -2 & 1 & 3 & 0 & 2 & 0 & -1 & 1 & 0 \\ 1 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 0, 0, 0, 1}, {0, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 2, 3, 4, 6}, {1, 5, 7}, {2, 3, 4, 6, 7}, {0, 8}, {1, 5, 8}}
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$(6,7536)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ -1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}4 & 4 & 3 & 4 & 3 & 4 & 2 & 4 & 3 & 2 & 3 & 1 & 3 & 2 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 0 \\ 2 & 1 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 2, 3, 4, 5}, {2, 3, 4, 5, 7}, {1, 6, 7}, {0, 8}, {1, 6, 8}}
|
|
$(6,7537)$ |
3 |
23 |
|
|
9: $\begin{pmatrix}1 & -1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ -1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 4 & 2 & 3 & 1 & 4 & 3 & 1 & 2 & 0 & 3 & 2 & 0 & 1 & -1 & 2 & 1 & -1 & 0 & 1 & 0 & -1 & 0 \\ 1 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 2, 3, 4, 6}, {1, 5, 7}, {2, 3, 4, 6, 7}, {0, 8}, {1, 5, 8}}
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$(6,7538)$ |
3 |
24 |
|
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9: $\begin{pmatrix}-2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}3 & 2 & 1 & 0 & 3 & 2 & -1 & 3 & 1 & 2 & 1 & 0 & -1 & 0 & 3 & 2 & 3 & -1 & 1 & 2 & 1 & 0 & -1 & 3 & 0 & -1 & 2 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {-2, 1, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 4}, {5, 6, 7}, {0, 8}}
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$(6,7539)$ |
3 |
23 |
|
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9: $\begin{pmatrix}1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ -1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 2 & 1 & 2 & 0 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 5 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 2 & 3 & 4 & 3 & 2 & 2 & 1 & 3 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 \\ 5 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 3 & 4 & 4 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {-2, 1, 1, 1, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 4, 5}, {4, 5, 7}, {1, 2, 3, 6, 7}, {0, 8}, {1, 2, 3, 6, 8}}
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$(6,7540)$ |
3 |
25 |
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9: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ -2 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 \\ -1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}3 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 3 & 2 & 2 & 1 & 3 & 1 & 0 & 2 & 2 & 0 & 1 & -1 & 3 & 1 & 0 & 2 & 2 & 0 & 1 & -1 & 3 & 1 & 0 & 2 & 0 & -1 & 1 & 0 \\ 3 & 3 & 2 & 2 & 3 & 1 & 1 & 3 & 2 & 0 & 2 & 0 & 3 & 1 & 1 & 3 & 2 & 0 & 2 & 0 & 3 & 1 & 1 & 2 & 0 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {-2, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 3, 4, 5}, {3, 4, 5, 7}, {1, 2, 6, 7}, {0, 8}, {1, 2, 6, 8}}
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$(6,7541)$ |
3 |
23 |
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9: $\begin{pmatrix}1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ -3 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 \\ -2 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 4 & 3 & 3 & 2 & 2 & 1 & 4 & 1 & 0 & 3 & 3 & 0 & 2 & -1 & 2 & -1 & 1 & -2 & 4 & 1 & 0 & 3 & 0 & -1 & 2 & -1 & -2 & 1 & 0 \\ 4 & 4 & 3 & 3 & 2 & 2 & 4 & 1 & 1 & 4 & 3 & 0 & 3 & 0 & 2 & -1 & 2 & -1 & 4 & 1 & 1 & 3 & 0 & 0 & 2 & -1 & -1 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {-3, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 4, 5}, {4, 5, 7}, {1, 2, 3, 6, 7}, {0, 8}, {1, 2, 3, 6, 8}}
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$(6,7542)$ |
3 |
23 |
|
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9: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ -2 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ -1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 4 & 3 & 3 & 2 & 4 & 2 & 3 & 1 & 1 & 3 & 2 & 0 & 2 & 4 & 0 & -1 & 1 & 3 & 1 & 0 & 2 & 0 & -1 & 1 & 0 \\ 4 & 4 & 3 & 3 & 4 & 2 & 4 & 2 & 1 & 3 & 3 & 1 & 2 & 4 & 0 & 0 & 2 & 3 & 1 & 1 & 2 & 0 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-2, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 1, 2}, {1, 2, 7}, {3, 4, 5, 6, 7}, {0, 8}, {3, 4, 5, 6, 8}}
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$(6,7543)$ |
3 |
24 |
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9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 2 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 7}, {1, 2, 3, 8}}
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$(6,7544)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 1 & 0 & 3 & 2 & 1 & 2 & 0 & 3 & 0 & 2 & 3 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 1, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3, 5}, {4, 6, 7}, {0, 8}}
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|
$(6,7545)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3}, {4, 5, 6, 7}, {0, 8}}
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$(6,7546)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}}
Primitive collections: {{1, 2, 3}, {4, 5, 6, 7}, {0, 8}}
|
|
$(6,7547)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}-1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 1 & 3 & 2 & 0 & 3 & 2 & 1 & 3 & 0 & 1 & 0 & 2 & 3 & 2 & 1 & 3 & 1 & 0 & 0 & 2 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {-1, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {1, 6, 7}, {0, 8}}
|
|
$(6,7548)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 1 & 0 & 3 & 2 & 1 & 2 & 0 & 3 & 0 & 2 & 3 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {1, 6, 7}, {0, 8}}
|
|
$(6,7549)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}2 & 1 & 2 & 3 & 0 & 1 & 3 & 2 & 0 & -1 & 1 & 2 & 3 & 2 & 0 & 3 & 1 & -1 & -1 & 2 & 1 & 0 & -1 & 1 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 3 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 2 & 2 & 0 & 1 & 1 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {2, 3, 4, 5, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}, {3, 4, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 6}, {1, 5, 7}, {0, 8}}
|
|
$(6,7550)$ |
3 |
25 |
|
|
9: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ -1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}3 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 3 & 2 & 0 & 1 & 2 & 3 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0 \\ 3 & 2 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 2 & 0 & 1 & 3 & 2 & 1 & 0 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 3 & 1 & 2 & 3 & 2 & 1 & 0 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {-1, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 7}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}, {2, 3, 4, 5, 6, 8}, {2, 3, 4, 6, 7, 8}, {2, 3, 5, 6, 7, 8}, {2, 4, 5, 6, 7, 8}}
Primitive collections: {{0, 3, 4, 5}, {3, 4, 5, 7}, {1, 2, 6, 7}, {0, 8}, {1, 2, 6, 8}}
|
|
$(6,7553)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 7 & 7 & 6 & 6 & 5 & 5 & 4 & 3 & 4 & 4 & 4 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
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|
$(6,7554)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 7 & 6 & 7 & 5 & 6 & 4 & 3 & 5 & 4 & 2 & 3 & 4 & 4 & 3 & 2 & 1 & 3 & 1 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{4, 6}, {5, 7}, {0, 1, 2, 3, 8}}
|
|
$(6,7556)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 5 & 4 & 5 & 4 & 3 & 4 & 3 & 4 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 5, 7, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}}
Primitive collections: {{4, 5}, {6, 7}, {0, 1, 2, 3, 8}}
|
|
$(6,7557)$ |
3 |
20 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 5 & 6 & 4 & 4 & 3 & 5 & 4 & 2 & 3 & 3 & 4 & 2 & 1 & 2 & 3 & 1 & 0 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 7, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 2, 6, 7, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}}
Primitive collections: {{4, 6}, {5, 7}, {0, 1, 2, 3, 8}}
|
|
$(6,7559)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 3 & 1 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 5 & 4 & 3 & 4 & 2 & 3 & 3 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
|
|
$(6,7562)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
29: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 9 & 8 & 7 & 7 & 6 & 7 & 5 & 6 & 6 & 5 & 5 & 4 & 5 & 4 & 5 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,7563)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 7 & 7 & 6 & 5 & 6 & 5 & 4 & 5 & 5 & 4 & 3 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,7564)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 0 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 5 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, -1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
|
|
$(6,7565)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 2 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 0 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 5 & 5 & 4 & 5 & 4 & 3 & 3 & 2 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 3 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{3, 4, 5}, {6, 7}, {0, 1, 2, 8}}
|
|
$(6,7566)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}1 & 0 & 2 & -1 & 1 & 0 & 2 & 1 & -1 & 2 & 1 & 2 & 0 & 0 & -1 & 2 & 1 & 2 & 0 & 1 & -1 & 0 & 1 & 2 & 1 & 0 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 5 & 5 & 4 & 5 & 4 & 4 & 3 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {0, 1, 2, 8}}
|
|
$(6,7567)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 2 & 2 & 0 & 1 & 0 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 3 & 5 & 3 & 4 & 2 & 1 & 3 & 2 & 3 & 1 & 1 & 2 & 3 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4, 6}, {5, 7}, {0, 1, 2, 8}}
|
|
$(6,7568)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -1 & 2 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
34: $\begin{pmatrix}1 & 0 & 2 & 1 & 0 & 2 & 0 & 1 & -1 & 0 & 1 & 2 & 0 & 1 & 2 & 1 & -1 & 0 & -1 & 1 & 0 & 1 & -1 & 0 & 0 & -1 & -1 & 1 & 0 & -1 & 0 & 0 & -1 & 0 \\ 1 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 2 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 2 & 2 & 1 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 5 & 6 & 3 & 4 & 5 & 2 & 5 & 3 & 6 & 4 & 3 & 1 & 4 & 2 & 0 & 2 & 5 & 3 & 5 & 1 & 3 & 1 & 4 & 3 & 2 & 4 & 3 & 0 & 2 & 3 & 1 & 1 & 2 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 0, 1}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}}
Primitive collections: {{2, 4, 6}, {3, 5, 7}, {4, 6, 7}, {0, 1, 2, 8}, {0, 1, 3, 5, 8}}
|
|
$(6,7570)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 1 & 4 & 3 & 2 & 0 & 2 & 1 & 3 & 1 & 2 & 0 & 3 & 2 & 1 & 0 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {0, 0, 0, 1, 1, -1}, {1, 1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {3, 4, 7}, {0, 1, 2, 8}}
|
|
$(6,7572)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 2 & 3 & 4 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, -1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,7573)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 2 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 1 & 3 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}}
Primitive collections: {{3, 4}, {5, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,7574)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 4 & 3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,7575)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 0 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 5 & 5 & 4 & 5 & 4 & 3 & 4 & 4 & 3 & 2 & 3 & 2 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 1, 5, 6, 7, 8}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}}
Primitive collections: {{4, 5}, {3, 6, 7}, {0, 1, 2, 8}}
|
|
$(6,7576)$ |
3 |
28 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
30: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 2 & 1 & 1 & 0 & 2 & 2 & 0 & 1 & 1 & 1 & 2 & 0 & 0 & 0 & 2 & 1 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 3 & 3 & 2 & 2 & 1 & 2 & 3 & 2 & 3 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 0, 1, 1}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 6, 7, 8}, {0, 1, 4, 6, 7, 8}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 6}, {4, 5, 7}, {3, 4, 6, 7}, {0, 1, 2, 8}, {0, 1, 5, 8}}
|
|
$(6,7580)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 1 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}, {0, 0, 1, 1, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 2, 5, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 5, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 7}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 7}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{4, 5, 6}, {0, 1, 7}, {2, 3, 8}}
|
|
$(6,7582)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 1 & 2 & 0 & 0 & 0 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3, 5}, {4, 6, 7}, {0, 1, 8}}
|
|
$(6,7588)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, -1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
|
|
$(6,7589)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 2, 5, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{2, 3}, {4, 5, 6, 7}, {0, 1, 8}}
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|
$(6,7590)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 2 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 0, -1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 1, 3, 5, 6, 7}, {0, 1, 4, 5, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {0, 4, 5, 6, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}, {1, 4, 5, 6, 7, 8}}
Primitive collections: {{3, 4, 5}, {2, 6, 7}, {0, 1, 8}}
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|
$(6,7591)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 3 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 3 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}, {0, 0, 1, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{5, 6}, {0, 1, 7}, {2, 3, 4, 8}}
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|
$(6,7592)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 3 & 1 & 0 & 2 & 3 & 3 & 2 & 1 & 1 & 3 & 0 & 2 & 0 & 2 & 1 & 0 & 3 & 1 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, -1, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
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|
$(6,7593)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 3 & 1 & 0 & 2 & 3 & 2 & 1 & 0 & 2 & 1 & 3 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}}
Primitive collections: {{2, 3, 4, 5}, {6, 7}, {0, 1, 8}}
|
|
$(6,7594)$ |
3 |
24 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 3 & 1 & 0 & 2 & 3 & 2 & 1 & 0 & 2 & 1 & 3 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4, 5}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4, 6}, {5, 7}, {0, 1, 8}}
|
|
$(6,7595)$ |
3 |
27 |
|
|
9: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 1 & 2 & 0 & 0 & 0 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {1, 1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5, 6}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 6, 7}, {0, 1, 2, 4, 5, 6}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 6, 7}, {0, 1, 3, 4, 5, 6}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{2, 3, 4}, {5, 6, 7}, {0, 1, 8}}
|
|
$(6,7602)$ |
3 |
20 |
|
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 2 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -2, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7, 8}}
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$(6,7603)$ |
3 |
20 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
21: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7, 8}}
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$(6,7604)$ |
3 |
20 |
|
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 1 & 2 & 2 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, -1, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7, 8}}
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$(6,7605)$ |
3 |
20 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 3 & 3 & 4 & 2 & 3 & 2 & 2 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7, 8}}
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$(6,7606)$ |
3 |
20 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ -1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 4 & 3 & 4 & 3 & 2 & 4 & 3 & 1 & 2 & 3 & 2 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-2, 0, 1, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 2, 5, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {0, 3, 5, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 2, 5, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}, {1, 3, 5, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7, 8}}
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$(6,7607)$ |
3 |
24 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 0, -1}}
Cones: {{0, 2, 3, 4, 5, 6}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 4, 5, 6}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{0, 1}, {5, 6, 7}, {2, 3, 4, 8}}
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$(6,7608)$ |
3 |
24 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 0 & 1 & 0 & 1 & 2 & 0 & 2 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 3 & 2 & 1 & 3 & 3 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {-1, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 7}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3, 4}, {5, 6, 7, 8}}
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$(6,7609)$ |
3 |
24 |
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9: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 3 & 2 & 1 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0, 0}, {-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 1, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 3, 6, 7, 8}, {0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {0, 2, 4, 6, 7, 8}, {0, 3, 4, 5, 6, 7}, {0, 3, 4, 5, 6, 8}, {0, 3, 4, 5, 7, 8}, {0, 3, 4, 6, 7, 8}, {1, 2, 3, 5, 6, 7}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 3, 6, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}, {1, 2, 4, 6, 7, 8}, {1, 3, 4, 5, 6, 7}, {1, 3, 4, 5, 6, 8}, {1, 3, 4, 5, 7, 8}, {1, 3, 4, 6, 7, 8}}
Primitive collections: {{0, 1}, {2, 3, 4}, {5, 6, 7, 8}}
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$(6,7617)$ |
3 |
27 |
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9: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 2 & 2 & 0 & 0 & 1 & 2 & 2 & 1 & 1 & 0 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 2 & 1 & 0 & 0 & 1 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 0 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 0 & 2 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0}, {0, 0, 1, 1, 0, 0}, {0, 0, 0, -1, 0, 0}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 6, 7}, {0, 1, 3, 4, 6, 8}, {0, 1, 3, 4, 7, 8}, {0, 1, 3, 5, 6, 7}, {0, 1, 3, 5, 6, 8}, {0, 1, 3, 5, 7, 8}, {0, 1, 4, 5, 6, 7}, {0, 1, 4, 5, 6, 8}, {0, 1, 4, 5, 7, 8}, {0, 2, 3, 4, 6, 7}, {0, 2, 3, 4, 6, 8}, {0, 2, 3, 4, 7, 8}, {0, 2, 3, 5, 6, 7}, {0, 2, 3, 5, 6, 8}, {0, 2, 3, 5, 7, 8}, {0, 2, 4, 5, 6, 7}, {0, 2, 4, 5, 6, 8}, {0, 2, 4, 5, 7, 8}, {1, 2, 3, 4, 6, 7}, {1, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 7, 8}, {1, 2, 3, 5, 6, 7}, {1, 2, 3, 5, 6, 8}, {1, 2, 3, 5, 7, 8}, {1, 2, 4, 5, 6, 7}, {1, 2, 4, 5, 6, 8}, {1, 2, 4, 5, 7, 8}}
Primitive collections: {{0, 1, 2}, {3, 4, 5}, {6, 7, 8}}
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$(6,7621)$ |
3 |
17 |
|
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9: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 5 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & -1 & -1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}10 & 9 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, -1, -1, -1, 4, -1}, {1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, -1, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}}
Cones: {{0, 1, 2, 3, 4, 6}, {0, 1, 2, 3, 4, 7}, {0, 1, 2, 3, 5, 7}, {0, 1, 2, 3, 5, 8}, {0, 1, 2, 3, 6, 8}, {0, 1, 2, 4, 5, 7}, {0, 1, 2, 4, 5, 8}, {0, 1, 2, 4, 6, 8}, {0, 1, 3, 4, 5, 7}, {0, 1, 3, 4, 5, 8}, {0, 1, 3, 4, 6, 8}, {0, 2, 3, 4, 5, 7}, {0, 2, 3, 4, 5, 8}, {0, 2, 3, 4, 6, 8}, {1, 2, 3, 4, 5, 7}, {1, 2, 3, 4, 5, 8}, {1, 2, 3, 4, 6, 8}}
Primitive collections: {{0, 1, 2, 3, 4, 5}, {5, 6}, {6, 7}, {0, 1, 2, 3, 4, 8}, {7, 8}}
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