|
$(5,6)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {0, 0, 0, 1, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 1, 4, 6, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}}
Primitive collections: {{4, 5}, {3, 6}, {0, 1, 2, 7}}
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|
$(5,7)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 0 & 3 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 9 & 8 & 7 & 6 & 6 & 5 & 6 & 4 & 5 & 5 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, -1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
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|
$(5,11)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, -1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
|
|
$(5,15)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -2 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 5 & 2 & 4 & 1 & 3 & 3 & 0 & 5 & 2 & -1 & 2 & 4 & 1 & 1 & 3 & 3 & 0 & 2 & 2 & -1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, -1, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}}
Primitive collections: {{2, 3, 5}, {4, 6}, {3, 5, 6}, {0, 1, 2, 7}, {0, 1, 4, 7}}
|
|
$(5,16)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & -1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
28: $\begin{pmatrix}-1 & 0 & -2 & 1 & -1 & 0 & -2 & 1 & -1 & -2 & 0 & 1 & -1 & 0 & -1 & -2 & 0 & 1 & -1 & 1 & 0 & 1 & 0 & -1 & 0 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 4 & 5 & 3 & 4 & 4 & 3 & 2 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, -1, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {2, 3, 4, 5, 7}}
Primitive collections: {{1, 2, 4}, {4, 6}, {3, 5, 6}, {0, 1, 2, 7}, {0, 3, 5, 7}}
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|
$(5,17)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 3 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
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|
$(5,18)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 3 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 3 & 2 & 3 & 4 & 3 & 2 & 1 & 2 & 3 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -3}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}}
Primitive collections: {{3, 5}, {4, 6}, {0, 1, 2, 7}}
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|
$(5,25)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 5 & 3 & 2 & 4 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {0, 0, 0, 1, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 1, 4, 6, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}}
Primitive collections: {{4, 5}, {3, 6}, {0, 1, 2, 7}}
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|
$(5,27)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 3 & 0 & 2 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 6 & 5 & 5 & 4 & 5 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, -1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
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$(5,32)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & -1 & 0 & 2 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 5 & 6 & 4 & 5 & 3 & 5 & 3 & 4 & 4 & 2 & 3 & 2 & 3 & 1 & 3 & 1 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, -1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{3, 4}, {2, 5, 6}, {4, 5, 6}, {0, 1, 2, 7}, {0, 1, 3, 7}}
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|
$(5,37)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & -1 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}2 & 1 & 2 & 1 & 0 & 1 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 3 & 1 & 3 & 4 & 2 & 2 & 0 & 3 & 1 & 3 & -1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & -1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, -1, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}}
Primitive collections: {{2, 3, 5}, {4, 6}, {3, 5, 6}, {0, 1, 2, 7}, {0, 1, 4, 7}}
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|
$(5,42)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}0 & -1 & -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}-2 & -1 & -2 & 0 & -2 & -1 & 0 & -1 & -2 & -2 & -1 & 0 & -1 & 0 & -2 & 0 & -1 & 0 & -1 & -1 & 0 & 0 & -1 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 6 & 5 & 5 & 4 & 5 & 4 & 3 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, -1, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 6}, {0, 1, 4, 6, 7}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 6}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{1, 2, 4}, {3, 4, 6}, {3, 5, 6}, {0, 1, 2, 7}, {0, 5, 7}}
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|
$(5,43)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 2 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
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|
$(5,45)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & -1 & 0 & 2 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 4 & 3 & 5 & 3 & 2 & 4 & 1 & 2 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
|
|
$(5,46)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -1 & 2 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 4 & 5 & 3 & 3 & 4 & 2 & 3 & 1 & 2 & 3 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}}
Primitive collections: {{3, 5}, {4, 6}, {0, 1, 2, 7}}
|
|
$(5,47)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}-1 & 0 & -1 & 0 & -1 & 0 & -1 & -1 & 0 & -1 & 0 & 0 & 0 & -1 & 0 & -1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 2 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 6}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{2, 4}, {3, 4, 6}, {3, 5, 6}, {0, 1, 2, 7}, {0, 1, 5, 7}}
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|
$(5,50)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 4 & 3 & 2 & 3 & 1 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}, {0, 0, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 7}, {0, 1, 2, 5, 7}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {0, 1, 6}, {2, 3, 7}}
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|
$(5,93)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 2 & 2 & 0 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {0, 0, 1, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5}, {2, 6}, {0, 1, 7}}
|
|
$(5,121)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 6 & 5 & 6 & 4 & 5 & 3 & 4 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{2, 4}, {3, 5, 6}, {0, 1, 7}}
|
|
$(5,122)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 4 & 0 & 2 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 10 & 9 & 8 & 8 & 7 & 7 & 6 & 6 & 5 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, -2, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{3, 4}, {2, 5, 6}, {0, 1, 7}}
|
|
$(5,137)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 2 & 2 & 0 & 2 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 6 & 5 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, -1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{2, 3, 4}, {5, 6}, {0, 1, 7}}
|
|
$(5,140)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & -1 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 0 & 2 & 1 & 3 & 2 & 0 & 2 & 3 & 1 & 1 & 2 & 0 & 0 & 1 & 2 & 1 & 0 & 0 & 2 & 1 & 0 \\ 4 & 4 & 3 & 4 & 4 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {0, -1, 1, 1, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {2, 3, 6}, {0, 1, 7}}
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|
$(5,161)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, -1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
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|
$(5,188)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & -1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 3 & 1 & 2 & 2 & 0 & 3 & 1 & 1 & 2 & 2 & 0 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, 0, 0, 1}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}}
Primitive collections: {{1, 2, 3, 5}, {4, 6}, {2, 3, 5, 6}, {0, 1, 7}, {0, 4, 7}}
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|
$(5,189)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}-1 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 2 & 0 & 1 & -1 & 0 & 2 & -1 & 1 & 0 & 2 & 1 & -1 & 0 & 1 & 2 & -1 & 0 & 1 & 2 & 0 & -1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {-1, -1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{2, 3, 4}, {5, 6}, {0, 1, 7}}
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|
$(5,193)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}1 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ -1 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ -1 & -1 & 2 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
27: $\begin{pmatrix}2 & 1 & 3 & 0 & 2 & 3 & 1 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & -1 & 0 & 2 & 0 & -1 & 1 & 1 & 0 & -1 & 0 & -1 & 1 & 0 \\ 0 & 1 & -1 & 2 & 0 & -1 & 1 & 0 & 0 & 2 & 1 & -1 & 1 & 0 & 2 & 1 & -1 & 0 & 2 & 0 & -1 & 1 & 1 & 0 & 1 & -1 & 0 \\ 2 & 3 & 0 & 4 & 1 & -1 & 2 & 2 & 0 & 3 & 3 & 0 & 1 & 1 & 4 & 2 & -1 & 2 & 3 & 0 & 0 & 1 & 3 & 1 & 2 & -1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {-1, -1, 1, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 5}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{0, 1, 3, 5}, {2, 4, 6}, {3, 5, 6}, {0, 1, 7}, {2, 4, 7}}
|
|
$(5,194)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 3 & 1 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {0, 0, 1, 1, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {2, 3, 6}, {0, 1, 7}}
|
|
$(5,197)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 2 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 8 & 7 & 6 & 6 & 5 & 6 & 5 & 5 & 4 & 4 & 3 & 4 & 3 & 3 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,198)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 2 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 6 & 5 & 4 & 5 & 4 & 4 & 3 & 3 & 3 & 4 & 2 & 3 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,199)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 2 & 0 & 2 & 1 & 2 & 1 & 0 & 0 & 1 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, -1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{2, 3, 4}, {5, 6}, {0, 1, 7}}
|
|
$(5,200)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}2 & 1 & 2 & 1 & 2 & 0 & 0 & 1 & 2 & 2 & 0 & 2 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 2 & 4 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{2, 3, 4}, {5, 6}, {0, 1, 7}}
|
|
$(5,202)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}1 & 2 & 0 & 1 & -1 & 0 & 2 & 2 & -1 & 1 & 0 & 2 & 1 & -1 & 0 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 4 & 3 & 2 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, -1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3, 5}, {4, 6}, {0, 1, 7}}
|
|
$(5,203)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}2 & 2 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 2 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 4 & 2 & 1 & 2 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3, 5}, {4, 6}, {0, 1, 7}}
|
|
$(5,204)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & -1 & -1 & -1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}-1 & -2 & 0 & -1 & -2 & -2 & 1 & -1 & 0 & -2 & 0 & -1 & 1 & -1 & -2 & 1 & 0 & -2 & 0 & -1 & 1 & -1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 4 & 2 & 2 & 2 & 3 & 3 & 1 & 1 & 2 & 2 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 1, 2}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{2, 3, 4}, {5, 6}, {0, 1, 7}}
|
|
$(5,205)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}0 & 1 & -1 & 1 & -1 & 1 & 0 & 0 \\ 0 & -1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & -1 & 2 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
26: $\begin{pmatrix}1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 & 0 & 2 & -1 & 1 & 0 & 1 & -1 & 1 & -1 & 0 & 1 & 0 & -1 & -1 & 0 & 0 & -1 & 0 \\ 1 & 0 & 2 & 1 & 2 & 0 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 1 & 0 & 1 & 0 \\ 4 & 2 & 5 & 3 & 4 & 1 & 4 & 2 & 3 & 0 & 5 & 2 & 3 & 1 & 4 & 1 & 4 & 2 & 0 & 2 & 3 & 3 & 1 & 1 & 2 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, 1, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}}
Primitive collections: {{1, 3, 5}, {2, 4, 6}, {3, 5, 6}, {0, 1, 7}, {0, 2, 4, 7}}
|
|
$(5,285)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 3 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {0, 0, 1, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5}, {2, 6}, {0, 1, 7}}
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|
$(5,320)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 1 & 3 & 2 & 2 & 1 & 3 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 0, 1}, {0, 0, 0, 0, -1}, {0, 0, 0, 1, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{2, 4, 5}, {3, 6}, {0, 1, 7}}
|
|
$(5,344)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & -1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 4 & 4 & 3 & 3 & 2 & 4 & 3 & 2 & 3 & 1 & 2 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, -1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{3, 4}, {2, 5, 6}, {0, 1, 7}}
|
|
$(5,381)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & -1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 3 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, -1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,437)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & -1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 3 & 2 & 2 & 1 & 3 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, -1, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{3, 4}, {1, 2, 5, 6}, {2, 4, 5, 6}, {0, 1, 7}, {0, 3, 7}}
|
|
$(5,443)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 3 & 2 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 1 & 1 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 4 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 3 & 3 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 6}, {0, 2, 3, 6, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{1, 2, 3}, {2, 3, 4, 6}, {4, 5, 6}, {0, 1, 7}, {0, 5, 7}}
|
|
$(5,455)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ -1 & -1 & 0 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}3 & 2 & 3 & 2 & 3 & 3 & 2 & 1 & 3 & 2 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 2 & 0 & 1 & 0 & -1 & 0 & 2 & -1 & 1 & 1 & 0 & -1 & 0 & 2 & -1 & 1 & 1 & 0 & 1 & -1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {1, 1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {-1, -1, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 6}, {0, 2, 3, 6, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 6}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{0, 1, 2, 3}, {2, 3, 4, 6}, {4, 5, 6}, {0, 1, 7}, {5, 7}}
|
|
$(5,457)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 3 & 4 & 2 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{1, 0, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {-2, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 6}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 5, 6}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {0, 4, 6}, {3, 4, 5, 6}, {1, 2, 7}, {2, 3, 5, 7}}
|
|
$(5,458)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & -1 & 1 & 0 & 0 & 1\end{pmatrix}$
21: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 3 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 3 & 2 & 3 & 1 & 2 & 0 & 3 & 2 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {0, 0, 1, 1, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {2, 3, 6}, {0, 1, 7}}
|
|
$(5,462)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,465)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,467)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{3, 4}, {2, 5, 6}, {0, 1, 7}}
|
|
$(5,468)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 2 & 2 & 1 & 2 & 1 & 0 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 4 & 4 & 3 & 4 & 2 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 2 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{3, 4}, {2, 5, 6}, {0, 1, 7}}
|
|
$(5,469)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}0 & -1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & -1 & -1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
24: $\begin{pmatrix}2 & 1 & 0 & 1 & 2 & 1 & 2 & 0 & 0 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 1 & 0 \\ 0 & 1 & 2 & 0 & 0 & 1 & -1 & 1 & 2 & 0 & 0 & -1 & 1 & 1 & -1 & 0 & 0 & 1 & -1 & -1 & 0 & 0 & -1 & 0 \\ 3 & 3 & 3 & 3 & 2 & 2 & 2 & 3 & 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, -1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{2, 3, 4}, {1, 5, 6}, {4, 5, 6}, {0, 1, 7}, {0, 2, 3, 7}}
|
|
$(5,470)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
23: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 2 & 1 & 1 & 2 & 1 & 0 & 0 & 2 & 0 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 2 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 6}, {0, 2, 3, 6, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{1, 2, 3}, {2, 3, 4, 6}, {4, 5, 6}, {0, 1, 7}, {0, 5, 7}}
|
|
$(5,472)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
22: $\begin{pmatrix}2 & 2 & 1 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 2 & 1 & 1 & 2 & 0 & 0 & 2 & 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 0 & 1 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, 0, 1, 1}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 6}, {0, 2, 5, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{1, 2, 5}, {3, 4, 6}, {2, 3, 5, 6}, {0, 1, 7}, {0, 4, 7}}
|
|
$(5,473)$ |
3 |
20 |
|
|
8: $\begin{pmatrix}-1 & -1 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
25: $\begin{pmatrix}-1 & -2 & 0 & -1 & -1 & 0 & -2 & 1 & -1 & 0 & 1 & -2 & 0 & -2 & -1 & 1 & 0 & -1 & 1 & -1 & 0 & 0 & -1 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 0 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 3 & 1 & 2 & 1 & 1 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {-1, -1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 6}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 6}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{0, 1, 4}, {3, 4, 6}, {2, 3, 5, 6}, {0, 1, 7}, {2, 5, 7}}
|
|
$(5,474)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, -1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 5, 6, 7}, {0, 4, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}}
Primitive collections: {{2, 5}, {3, 4, 6}, {0, 1, 7}}
|
|
$(5,658)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 4 & 3 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}, {0, 1, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 5}, {0, 1, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 5, 7}, {0, 3, 4, 5, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 5, 6}, {1, 3, 4, 5, 6}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{2, 3, 4, 5}, {0, 6}, {1, 7}}
|
|
$(5,725)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 1 & 0 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 1, 0, -1, 0}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 4, 5, 6}, {0, 3, 4, 5, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{1, 4}, {2, 3, 5, 6}, {0, 7}}
|
|
$(5,763)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 5 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, -1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}}
Primitive collections: {{1, 2, 3, 4}, {5, 6}, {0, 7}}
|
|
$(5,802)$ |
3 |
14 |
|
|
8: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ -1 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
14: $\begin{pmatrix}4 & 4 & 3 & 4 & 3 & 2 & 3 & 2 & 1 & 2 & 1 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {1, 1, 1, 1, 0}, {0, 0, 0, -1, 0}, {-1, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 6, 7}, {2, 3, 4, 6, 7}}
Primitive collections: {{0, 1, 2, 3, 4}, {1, 2, 3, 4, 6}, {5, 6}, {0, 7}, {5, 7}}
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|
$(5,806)$ |
3 |
14 |
|
|
8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 2 & 0 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
17: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 7 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 6 & 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{1, 0, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {-3, 1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 5, 7}, {0, 3, 4, 5, 7}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 5, 6}, {1, 3, 4, 5, 6}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {0, 6}, {2, 3, 4, 5, 6}, {1, 7}, {2, 3, 4, 5, 7}}
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$(5,807)$ |
3 |
14 |
|
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 1 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
15: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{1, 0, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {-2, 1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 4, 5}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 5, 7}, {0, 3, 4, 5, 7}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 5, 6}, {1, 3, 4, 5, 6}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{0, 1}, {0, 6}, {2, 3, 4, 5, 6}, {1, 7}, {2, 3, 4, 5, 7}}
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$(5,808)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 2 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 5 & 5 & 4 & 3 & 4 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}, {0, 1, 1, 1, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 7}, {0, 1, 2, 5, 7}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {0, 6}, {1, 2, 3, 7}}
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$(5,811)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 2 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}, {0, 1, 1, 0, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 5}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 1, 4, 5, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {0, 2, 4, 5, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 5, 6}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{3, 4, 5}, {0, 6}, {1, 2, 7}}
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$(5,814)$ |
3 |
18 |
|
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8: $\begin{pmatrix}0 & 1 & 1 & -1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 1, 1, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 4, 5, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{1, 2, 4}, {3, 5, 6}, {0, 7}}
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|
$(5,815)$ |
3 |
16 |
|
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8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 2 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 2 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 1, 1, -2, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{3, 4}, {1, 2, 5, 6}, {0, 7}}
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$(5,824)$ |
3 |
16 |
|
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5, 6}, {0, 7}}
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|
$(5,825)$ |
3 |
16 |
|
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8: $\begin{pmatrix}0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{1, 2}, {3, 4, 5, 6}, {0, 7}}
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|
$(5,826)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 \\ 5 & 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 1, 0, -1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {0, 3, 4, 5, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{2, 3, 4}, {1, 5, 6}, {0, 7}}
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|
$(5,827)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ -1 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 4 & 3 & 4 & 2 & 3 & 1 & 3 & 0 & 2 & 2 & 1 & 3 & 0 & 1 & 2 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}, {-1, 1, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 7}, {0, 1, 2, 5, 7}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {0, 6}, {1, 2, 3, 7}}
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|
$(5,828)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}-2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}3 & 2 & 1 & 3 & 0 & -1 & 2 & 3 & 2 & 1 & 0 & 1 & 0 & -1 & 3 & -1 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {-2, 1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}}
Primitive collections: {{1, 2, 3, 4}, {5, 6}, {0, 7}}
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|
$(5,829)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 \\ 4 & 4 & 3 & 3 & 2 & 3 & 1 & 2 & 3 & 1 & 2 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}, {0, 1, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 7}, {0, 1, 2, 5, 7}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {0, 6}, {1, 2, 3, 7}}
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|
$(5,831)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}-1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 2 & 3 & 1 & 0 & 3 & 2 & 1 & 2 & 0 & 3 & 1 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {-1, 1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}}
Primitive collections: {{1, 2, 3, 4}, {5, 6}, {0, 7}}
|
|
$(5,832)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 0 & 1 & 3 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 1, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}}
Primitive collections: {{1, 2, 3, 4}, {5, 6}, {0, 7}}
|
|
$(5,833)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}-1 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
17: $\begin{pmatrix}2 & 1 & 3 & 0 & 3 & 2 & -1 & 1 & 2 & 0 & 3 & 1 & -1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {-1, 1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 5, 6}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{1, 2, 3, 5}, {4, 6}, {0, 7}}
|
|
$(5,834)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
16: $\begin{pmatrix}3 & 2 & 3 & 1 & 2 & 3 & 0 & 1 & 3 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 1, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 5, 6}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{1, 2, 3, 5}, {4, 6}, {0, 7}}
|
|
$(5,835)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}-1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 2 & 1 & 0 \\ 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {-1, 1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 6}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{1, 2, 3}, {4, 5, 6}, {0, 7}}
|
|
$(5,836)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 4 & 4 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0 & 0 \\ 5 & 4 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 3 & 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {1, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {-1, 1, 1, -1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{0, 3, 4}, {3, 4, 6}, {1, 2, 5, 6}, {0, 7}, {1, 2, 5, 7}}
|
|
$(5,837)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ -1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}3 & 3 & 2 & 3 & 2 & 3 & 1 & 3 & 2 & 1 & 2 & 0 & 2 & 1 & 1 & 0 & 1 & 0 \\ 2 & 1 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {1, 0, 1, 1, 0}, {0, 0, 0, -1, 0}, {-1, 1, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {0, 3, 4, 5, 6}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{0, 2, 3, 4}, {2, 3, 4, 6}, {1, 5, 6}, {0, 7}, {1, 5, 7}}
|
|
$(5,838)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}1 & -1 & 1 & 1 & -1 & 1 & 0 & 0 \\ -1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}2 & 1 & 3 & 1 & 2 & 0 & 3 & 2 & 0 & 1 & -1 & 2 & 1 & -1 & 0 & 1 & 0 & -1 & 0 \\ 1 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {-1, 1, 0, 0, 1}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 6}, {0, 2, 4, 5, 6}, {0, 3, 4, 5, 6}, {1, 2, 3, 4, 5}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 4, 5, 6, 7}, {3, 4, 5, 6, 7}}
Primitive collections: {{0, 2, 3, 5}, {1, 4, 6}, {2, 3, 5, 6}, {0, 7}, {1, 4, 7}}
|
|
$(5,839)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ -2 & 1 & 1 & 0 & 0 & 1 & 1 & 0 \\ -1 & 1 & 1 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
20: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ 3 & 2 & 2 & 1 & 3 & 1 & 0 & 2 & 2 & 0 & 1 & -1 & 3 & 1 & 0 & 2 & 0 & -1 & 1 & 0 \\ 3 & 3 & 2 & 2 & 3 & 1 & 1 & 3 & 2 & 0 & 2 & 0 & 3 & 1 & 1 & 2 & 0 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {1, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {-2, 1, 1, 0, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 6}, {0, 1, 4, 5, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}, {1, 4, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 5, 6, 7}, {2, 4, 5, 6, 7}}
Primitive collections: {{0, 3, 4}, {3, 4, 6}, {1, 2, 5, 6}, {0, 7}, {1, 2, 5, 7}}
|
|
$(5,840)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 2 & 2 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 0, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 6}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}, {2, 3, 4, 5, 7}, {2, 3, 4, 6, 7}, {2, 3, 5, 6, 7}}
Primitive collections: {{1, 2, 3}, {4, 5, 6}, {0, 7}}
|
|
$(5,843)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 2 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 5 & 4 & 4 & 3 & 2 & 3 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -2}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
|
|
$(5,844)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 2 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 5 & 4 & 5 & 3 & 4 & 2 & 3 & 3 & 2 & 1 & 2 & 3 & 1 & 2 & 1 & 0 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, 0, -2}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 5, 6, 7}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}}
Primitive collections: {{3, 5}, {4, 6}, {0, 1, 2, 7}}
|
|
$(5,846)$ |
3 |
16 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1\end{pmatrix}$
17: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 5 & 4 & 4 & 4 & 3 & 3 & 2 & 3 & 3 & 2 & 1 & 2 & 2 & 1 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 1, -1, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 5, 7}, {0, 1, 3, 6, 7}, {0, 1, 4, 5, 7}, {0, 1, 4, 6, 7}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}}
Primitive collections: {{3, 4}, {5, 6}, {0, 1, 2, 7}}
|
|
$(5,848)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 3 & 2 & 3 & 1 & 3 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 3 & 3 & 2 & 3 & 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -1}, {0, 0, 1, 1, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 7}, {0, 1, 2, 5, 7}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 6}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{4, 5}, {0, 1, 6}, {2, 3, 7}}
|
|
$(5,850)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 1 & 2 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 5 & 4 & 4 & 3 & 4 & 3 & 3 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 2 & 1 & 1 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, -1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,851)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 2 & 2 & 1 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 2 & 3 & 2 & 3 & 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -1}}
Cones: {{0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3}, {4, 5, 6}, {0, 1, 7}}
|
|
$(5,852)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 1, 1, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{2, 3, 4}, {5, 6}, {0, 1, 7}}
|
|
$(5,853)$ |
3 |
18 |
|
|
8: $\begin{pmatrix}0 & 0 & 1 & 1 & -1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1\end{pmatrix}$
18: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 2 & 1 & 0 & 2 & 1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 3 & 3 & 2 & 3 & 2 & 2 & 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
|
Rays: {{-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 0, 1}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}, {1, 1, 0, 0, -1}}
Cones: {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 5}, {0, 1, 2, 5, 6}, {0, 1, 3, 4, 5}, {0, 1, 3, 5, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 7}, {0, 3, 5, 6, 7}, {1, 2, 3, 4, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{2, 3, 5}, {4, 6}, {0, 1, 7}}
|
|
$(5,857)$ |
3 |
16 |
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 & 1 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 4 & 4 & 3 & 3 & 2 & 3 & 2 & 2 & 1 & 3 & 2 & 1 & 1 & 1 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, -1, 1, 1, 1}, {0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 6}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 6}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 6}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7}}
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$(5,858)$ |
3 |
16 |
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\end{pmatrix}$
16: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 2 & 2 & 3 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 1, 1, 1}, {0, 0, 0, 0, -1}}
Cones: {{0, 2, 4, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 2, 5, 6, 7}, {0, 3, 4, 5, 6}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {0, 3, 5, 6, 7}, {1, 2, 4, 5, 6}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 2, 5, 6, 7}, {1, 3, 4, 5, 6}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}, {1, 3, 5, 6, 7}}
Primitive collections: {{0, 1}, {2, 3}, {4, 5, 6, 7}}
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$(5,859)$ |
3 |
18 |
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8: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1\end{pmatrix}$
18: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 & 1 & 2 & 0 & 0 & 1 & 0 & 1 & 2 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 2 & 2 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{1, 0, 0, 0, 0}, {-1, 0, 0, 0, 0}, {0, -1, 0, 0, 0}, {0, 1, 1, 0, 0}, {0, 0, -1, 0, 0}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, 0, -1}}
Cones: {{0, 2, 3, 5, 6}, {0, 2, 3, 5, 7}, {0, 2, 3, 6, 7}, {0, 2, 4, 5, 6}, {0, 2, 4, 5, 7}, {0, 2, 4, 6, 7}, {0, 3, 4, 5, 6}, {0, 3, 4, 5, 7}, {0, 3, 4, 6, 7}, {1, 2, 3, 5, 6}, {1, 2, 3, 5, 7}, {1, 2, 3, 6, 7}, {1, 2, 4, 5, 6}, {1, 2, 4, 5, 7}, {1, 2, 4, 6, 7}, {1, 3, 4, 5, 6}, {1, 3, 4, 5, 7}, {1, 3, 4, 6, 7}}
Primitive collections: {{0, 1}, {2, 3, 4}, {5, 6, 7}}
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$(5,865)$ |
3 |
14 |
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8: $\begin{pmatrix}1 & 1 & 1 & 1 & 1 & 4 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & -1 & -1 & 0 & 1\end{pmatrix}$
19: $\begin{pmatrix}8 & 7 & 7 & 6 & 6 & 5 & 5 & 4 & 4 & 4 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 \\ -1 & 0 & -1 & 0 & -1 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & -1 & 0 & 0 & 0\end{pmatrix}$ |
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Rays: {{-1, -1, -1, 3, -1}, {1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 1}, {0, 0, 0, -1, 0}, {0, 0, 0, 1, 0}, {0, 0, 0, 0, 1}}
Cones: {{0, 1, 2, 3, 5}, {0, 1, 2, 3, 6}, {0, 1, 2, 4, 6}, {0, 1, 2, 4, 7}, {0, 1, 2, 5, 7}, {0, 1, 3, 4, 6}, {0, 1, 3, 4, 7}, {0, 1, 3, 5, 7}, {0, 2, 3, 4, 6}, {0, 2, 3, 4, 7}, {0, 2, 3, 5, 7}, {1, 2, 3, 4, 6}, {1, 2, 3, 4, 7}, {1, 2, 3, 5, 7}}
Primitive collections: {{0, 1, 2, 3, 4}, {4, 5}, {5, 6}, {0, 1, 2, 3, 7}, {6, 7}}
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