Smooth Fano Toric 4-folds with $\rho=3$
There are 28 varieties in this class:
| $(\dim,\#)$ | $\operatorname{rk} \mathrm{Pic}$ | $\operatorname{rk} K_0$ | Chambers | Cox degrees and $\Theta$-collection | Ext table |
|---|---|---|---|---|---|
| $(4,10)$ | 3 | 11 |
7: $\begin{pmatrix}-3 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & -1 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 14: $\begin{pmatrix}3 & 2 & 2 & 1 & 1 & 0 & 3 & 0 & -1 & 2 & -1 & -2 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 4 & 4 & 10 & 10 & 11 & 20 & 20 & 24 & 35 & 35 & 45 & 76 \\ 0 & 1 & 1 & 4 & 4 & 10 & 10 & 10 & 20 & 21 & 20 & 35 & 39 & 66 \\ 0 & 0 & 1 & 1 & 4 & 4 & 4 & 10 & 10 & 11 & 20 & 20 & 24 & 45 \\ 0 & 0 & 0 & 1 & 1 & 4 & 4 & 4 & 10 & 10 & 10 & 20 & 21 & 39 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 4 & 10 & 10 & 11 & 24 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 4 & 10 & 10 & 21 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 4 & 0 & 0 & 10 & 20 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 4 & 11 \\ T^3 & 0 & 0 & 0 & 0 & 0 & T^3 & 0 & 1 & 1 & 1 & 4 & 4 & 10 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 4 & 10 \\ T^3 & T^3 & 0 & 0 & 0 & 0 & T^3 & 0 & 0 & 0 & 1 & 1 & 1 & 4 \\ 4T^3 & T^3 & T^3 & 0 & 0 & 0 & 4T^3 & 0 & 0 & T^3 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,11)$ | 3 | 11 |
7: $\begin{pmatrix}-2 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & -1 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}3 & 2 & 2 & 1 & 1 & 3 & 0 & 0 & 2 & -1 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 4 & 4 & 10 & 5 & 10 & 20 & 14 & 20 & 30 & 55 \\ 0 & 1 & 1 & 4 & 4 & 4 & 10 & 10 & 11 & 20 & 24 & 45 \\ 0 & 0 & 1 & 1 & 4 & 1 & 4 & 10 & 5 & 10 & 14 & 30 \\ 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 4 & 10 & 11 & 24 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 4 & 1 & 4 & 5 & 14 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 4 & 0 & 10 & 20 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 11 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 4 & 10 \\ T^3 & 0 & 0 & 0 & 0 & T^3 & 0 & 0 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,12)$ | 3 | 11 |
7: $\begin{pmatrix}-1 & 0 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & -1 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 11: $\begin{pmatrix}3 & 2 & 2 & 3 & 1 & 1 & 2 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 4 & 2 & 4 & 10 & 8 & 10 & 20 & 20 & 40 \\ 0 & 1 & 1 & 1 & 4 & 4 & 5 & 10 & 10 & 14 & 30 \\ 0 & 0 & 1 & 0 & 1 & 4 & 2 & 4 & 10 & 8 & 20 \\ 0 & 0 & 0 & 1 & 0 & 0 & 4 & 0 & 0 & 10 & 20 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 5 & 14 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 4 & 2 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 4 & 10 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,13)$ | 3 | 12 |
7: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 1 & 1 & 1 & 0 & 0 & -2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 14: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 1 & 1 & 0 & -1 & 0 & -1 & 2 & 1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 3 & 6 & 6 & 10 & 12 & 20 & 13 & 23 & 20 & 36 & 36 & 57 \\ 0 & 1 & 0 & 3 & 0 & 0 & 6 & 10 & 6 & 10 & 13 & 15 & 23 & 36 \\ 0 & 0 & 1 & 2 & 3 & 6 & 6 & 12 & 6 & 13 & 9 & 23 & 20 & 36 \\ 0 & 0 & 0 & 1 & 0 & 0 & 3 & 6 & 3 & 6 & 6 & 10 & 13 & 23 \\ 0 & 0 & 0 & 0 & 1 & 3 & 2 & 6 & 2 & 6 & 3 & 13 & 9 & 20 \\ T^2 & 2T^2 & 0 & 0 & 0 & 1 & 0 & 2 & T^2 & 2 & 2T^2 & 6 & 3 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 1 & 3 & 2 & 6 & 6 & 13 \\ 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & T^2 & 3 & 2 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 2 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 2 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,14)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & -2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 15: $\begin{pmatrix}2 & 1 & 0 & -1 & 2 & 2 & 1 & 0 & 1 & -1 & 0 & -1 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 6 & 10 & 7 & 8 & 13 & 21 & 16 & 31 & 27 & 41 & 29 & 47 & 70 \\ 0 & 1 & 3 & 6 & 3 & 3 & 7 & 13 & 8 & 21 & 16 & 27 & 16 & 29 & 47 \\ 0 & 0 & 1 & 3 & 1 & 1 & 3 & 7 & 3 & 13 & 8 & 16 & 8 & 16 & 29 \\ T^2 & 0 & 0 & 1 & T^2 & 2T^2 & 1 & 3 & 1 & 7 & 3 & 8 & 3+2T^2 & 8 & 16 \\ 0 & 0 & 0 & 0 & 1 & 1 & 3 & 6 & 3 & 10 & 6 & 10 & 8 & 16 & 27 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 6 & 10 & 7 & 13 & 21 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 1 & 6 & 3 & 6 & 3 & 8 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 1 & 3 & 1 & 3 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 6 & 3 & 7 & 13 \\ 0 & 0 & 0 & 0 & T^2 & T^2 & 0 & 0 & 0 & 1 & 0 & 1 & 2T^2 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 1 & 3 & 7 \\ 0 & 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & T^2 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,15)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & -1 & 0 & -1 & 0 \\ 0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 14: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & -1 & 2 & 0 & -1 & 1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 6 & 4 & 9 & 10 & 10 & 16 & 25 & 19 & 23 & 31 & 40 & 62 \\ 0 & 1 & 3 & 1 & 4 & 6 & 4 & 9 & 16 & 10 & 11 & 19 & 23 & 40 \\ 0 & 0 & 1 & 0 & 1 & 3 & 1 & 4 & 9 & 4 & 4 & 10 & 11 & 23 \\ 0 & 0 & 0 & 1 & 3 & 0 & 3 & 6 & 10 & 6 & 10 & 10 & 19 & 31 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 3 & 6 & 3 & 4 & 6 & 10 & 19 \\ T^2 & 0 & 0 & T^2 & 0 & 1 & T^2 & 1 & 4 & 1 & 1+T^2 & 4 & 4 & 11 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 4 & 6 & 9 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 1 & 1 & 3 & 4 & 10 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 1 & 0 & T^2 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 4 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,16)$ | 3 | 12 |
7: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & -2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 14: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 0 & 2 & 0 & -1 & 2 & -1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 4 & 7 & 10 & 11 & 16 & 20 & 18 & 30 & 24 & 37 & 45 & 66 \\ 0 & 1 & 1 & 4 & 4 & 4 & 10 & 10 & 11 & 20 & 11 & 24 & 24 & 45 \\ 0 & 0 & 1 & 2 & 4 & 4 & 7 & 10 & 7 & 16 & 11 & 18 & 24 & 37 \\ 0 & 0 & 0 & 1 & 1 & 1 & 4 & 4 & 4 & 10 & 4 & 11 & 11 & 24 \\ 0 & 0 & 0 & 0 & 1 & 1 & 2 & 4 & 2 & 7 & 4 & 7 & 11 & 18 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 0 & 4 & 7 & 10 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 1 & 4 & 4 & 11 \\ 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & T^2 & 2 & 1 & 2 & 4 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 4 & 4 & 10 \\ T^3 & 0 & 0 & 0 & 0 & T^3 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 4 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,17)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & -2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 14: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 0 & 2 & -1 & -1 & 1 & 2 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 2 & 6 & 6 & 12 & 7 & 10 & 20 & 13 & 14 & 26 & 21 & 42 \\ 0 & 1 & 0 & 3 & 2 & 6 & 3 & 6 & 12 & 7 & 6 & 14 & 13 & 26 \\ 0 & 0 & 1 & 0 & 3 & 6 & 0 & 0 & 10 & 0 & 7 & 13 & 0 & 21 \\ 0 & 0 & 0 & 1 & 0 & 2 & 1 & 3 & 6 & 3 & 2 & 6 & 7 & 14 \\ 0 & 0 & 0 & 0 & 1 & 3 & 0 & 0 & 6 & 0 & 3 & 7 & 0 & 13 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 1 & 3 & 0 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 2 & 6 & 6 & 12 \\ T^2 & 0 & 2T^2 & 0 & 0 & 0 & T^2 & 1 & 2 & 1 & 2T^2 & 2 & 3 & 6 \\ 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & T^2 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,18)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 1 & 2 & 1 & 0 & 0 & 2 & 1 & 2 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 2 & 6 & 6 & 12 & 7 & 15 & 11 & 24 & 26 & 42 \\ 0 & 1 & 0 & 2 & 3 & 6 & 2 & 7 & 3 & 11 & 15 & 24 \\ 0 & 0 & 1 & 3 & 0 & 6 & 3 & 6 & 7 & 15 & 10 & 26 \\ 0 & 0 & 0 & 1 & 0 & 3 & 1 & 3 & 2 & 7 & 6 & 15 \\ 0 & 0 & 0 & 0 & 1 & 2 & 0 & 2 & 0 & 3 & 7 & 11 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 2 & 3 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 2 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,19)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 0 & 0 \\ -1 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 2 & 2 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 2 & 4 & 6 & 10 & 10 & 17 & 20 & 30 & 30 & 46 \\ 0 & 1 & 0 & 2 & 2 & 6 & 3 & 10 & 10 & 20 & 14 & 30 \\ 0 & 0 & 1 & 2 & 2 & 3 & 6 & 10 & 10 & 14 & 20 & 30 \\ 0 & 0 & 0 & 1 & 1 & 2 & 2 & 6 & 6 & 10 & 10 & 20 \\ 0 & 0 & 0 & 0 & 1 & 2 & 2 & 4 & 6 & 10 & 10 & 17 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 2 & 6 & 3 & 10 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & 3 & 6 & 10 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,20)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & -1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 1 & 0 & 2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 6 & 4 & 9 & 5 & 16 & 12 & 14 & 22 & 28 & 47 \\ 0 & 1 & 3 & 1 & 4 & 1 & 9 & 5 & 5 & 12 & 14 & 28 \\ 0 & 0 & 1 & 0 & 1 & 0 & 4 & 1 & 1 & 5 & 5 & 14 \\ 0 & 0 & 0 & 1 & 3 & 1 & 6 & 3 & 5 & 6 & 12 & 22 \\ 0 & 0 & 0 & 0 & 1 & 0 & 3 & 1 & 1 & 3 & 5 & 12 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 4 & 6 & 9 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 4 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,21)$ | 3 | 12 |
7: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & -1 & 0 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 13: $\begin{pmatrix}1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 0 & 2 & 2 & 1 & 1 & -1 & 0 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 6 & 4 & 4 & 9 & 9 & 10 & 16 & 16 & 13 & 25 & 41 \\ 0 & 1 & 3 & 1 & 1 & 4 & 4 & 6 & 9 & 9 & 5 & 13 & 25 \\ 0 & 0 & 1 & 0 & 0 & 1 & 1 & 3 & 4 & 4 & 1 & 5 & 13 \\ 0 & 0 & 0 & 1 & 0 & 3 & 0 & 0 & 6 & 0 & 4 & 9 & 16 \\ 0 & 0 & 0 & 0 & 1 & 0 & 3 & 0 & 0 & 6 & 4 & 9 & 16 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 1 & 4 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 1 & 4 & 9 \\ T^2 & 0 & 0 & T^2 & T^2 & 0 & 0 & 1 & 1 & 1 & T^2 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,22)$ | 3 | 12 |
7: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 1 & 1 & 2 & 2 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 4 & 7 & 5 & 9 & 10 & 16 & 14 & 23 & 30 & 46 \\ 0 & 1 & 1 & 4 & 1 & 5 & 4 & 10 & 5 & 14 & 14 & 30 \\ 0 & 0 & 1 & 2 & 1 & 2 & 4 & 7 & 5 & 9 & 14 & 23 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 4 & 1 & 5 & 5 & 14 \\ 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 4 & 7 & 10 & 16 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 4 & 4 & 10 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 1 & 2 & 5 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 4 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,23)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & -1 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 3 & 5 & 5 & 9 & 12 & 15 & 19 & 25 & 31 & 47 \\ 0 & 1 & 1 & 1 & 3 & 5 & 5 & 5 & 12 & 15 & 15 & 31 \\ 0 & 0 & 1 & 1 & 2 & 2 & 5 & 5 & 9 & 9 & 15 & 25 \\ 0 & 0 & 0 & 1 & 0 & 2 & 3 & 5 & 5 & 9 & 12 & 19 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 5 & 5 & 5 & 15 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 3 & 5 & 5 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & 5 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 3 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,24)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & -1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 0 & 2 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 2 & 6 & 6 & 4 & 12 & 8 & 9 & 16 & 18 & 32 \\ 0 & 1 & 0 & 3 & 2 & 1 & 6 & 2 & 4 & 9 & 8 & 18 \\ 0 & 0 & 1 & 0 & 3 & 0 & 6 & 4 & 0 & 0 & 9 & 16 \\ 0 & 0 & 0 & 1 & 0 & 0 & 2 & 0 & 1 & 4 & 2 & 8 \\ 0 & 0 & 0 & 0 & 1 & 0 & 3 & 1 & 0 & 0 & 4 & 9 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 3 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 2 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,25)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 2 & 3 & 4 & 6 & 6 & 6 & 12 & 12 & 12 & 24 \\ 0 & 1 & 0 & 0 & 2 & 0 & 0 & 3 & 6 & 6 & 0 & 12 \\ 0 & 0 & 1 & 0 & 2 & 3 & 0 & 0 & 6 & 0 & 6 & 12 \\ 0 & 0 & 0 & 1 & 0 & 2 & 3 & 2 & 4 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 3 & 0 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 2 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 3 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,26)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ -1 & 0 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 2 & 4 & 4 & 8 & 7 & 10 & 14 & 20 & 16 & 32 \\ 0 & 1 & 0 & 0 & 2 & 4 & 0 & 0 & 7 & 10 & 0 & 16 \\ 0 & 0 & 1 & 1 & 2 & 2 & 4 & 4 & 8 & 8 & 10 & 20 \\ 0 & 0 & 0 & 1 & 0 & 2 & 2 & 4 & 4 & 8 & 7 & 14 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 4 & 4 & 0 & 10 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 4 & 0 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & 4 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 2 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,27)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & -1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 1 & 2 & 1 & 0 & 2 & 0 & 2 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 2 & 6 & 6 & 3 & 12 & 5 & 9 & 15 & 18 & 30 \\ 0 & 1 & 0 & 2 & 3 & 0 & 6 & 0 & 3 & 5 & 9 & 15 \\ 0 & 0 & 1 & 3 & 0 & 1 & 6 & 3 & 3 & 9 & 6 & 18 \\ 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 1 & 3 & 3 & 9 \\ 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 0 & 0 & 3 & 5 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 3 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,28)$ | 3 | 12 |
7: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 \\ 1 & 1 & 1 & -1 & 0 & 0 & -1\end{pmatrix}$ 13: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 1 & 2 & 0 & 1 & -1 & 2 & 0 & 1 & 2 & 0 & -1 & 1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 3 & 4 & 6 & 2 & 9 & 7 & 8 & 15 & 16 & 19 & 35 \\ 0 & 1 & 0 & 3 & 0 & 1 & 6 & 3 & 7 & 6 & 10 & 15 & 26 \\ 0 & 0 & 1 & 1 & 3 & 0 & 4 & 2 & 2 & 7 & 9 & 8 & 19 \\ 0 & 0 & 0 & 1 & 0 & 0 & 3 & 1 & 2 & 3 & 6 & 7 & 15 \\ 0 & T^2 & 0 & 0 & 1 & T^2 & 1 & 0 & T^2 & 2 & 4 & 2 & 8 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 4 & 6 & 0 & 9 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 3 & 2 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 0 & 4 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 4 \\ 0 & T^2 & 0 & 0 & 0 & T^2 & 0 & 0 & T^2 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,29)$ | 3 | 12 |
7: $\begin{pmatrix}1 & 1 & 1 & 0 & 0 & 0 & 0 \\ -1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 0 & -1 & 0 & 0 & 0 & 1 & 1\end{pmatrix}$ 12: $\begin{pmatrix}2 & 2 & 2 & 1 & 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 2 & 5 & 4 & 9 & 9 & 15 & 16 & 25 & 25 & 41 \\ 0 & 1 & 0 & 1 & 2 & 5 & 2 & 5 & 9 & 15 & 9 & 25 \\ 0 & 0 & 1 & 1 & 2 & 2 & 5 & 5 & 9 & 9 & 15 & 25 \\ 0 & 0 & 0 & 1 & 0 & 2 & 2 & 5 & 4 & 9 & 9 & 16 \\ 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 5 & 5 & 5 & 15 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 2 & 5 & 2 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & 5 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 2 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,30)$ | 3 | 12 |
7: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 \\ 1 & 1 & 1 & 0 & 0 & 0 & -2\end{pmatrix}$ 14: $\begin{pmatrix}1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 1 & -1 & 2 & 0 & 1 & 2 & -1 & 0 & 1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 3 & 2 & 6 & 6 & 10 & 8 & 12 & 16 & 15 & 20 & 27 & 29 & 48 \\ 0 & 1 & 0 & 3 & 2 & 6 & 3 & 6 & 8 & 6 & 12 & 16 & 15 & 29 \\ 0 & 0 & 1 & 0 & 3 & 0 & 1 & 6 & 3 & 8 & 10 & 6 & 16 & 27 \\ 0 & 0 & 0 & 1 & 0 & 3 & 1 & 2 & 3 & 2 & 6 & 8 & 6 & 15 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 1 & 3 & 6 & 3 & 8 & 16 \\ T^2 & 0 & 2T^2 & 0 & 0 & 1 & 2T^2 & 0 & 1 & 3T^2 & 2 & 3 & 2 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 & 2 & 0 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 3 & 1 & 3 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 2 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 6 \\ 0 & 0 & T^2 & 0 & 0 & 0 & T^2 & 0 & 0 & 2T^2 & 1 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,31)$ | 3 | 12 |
7: $\begin{pmatrix}0 & 0 & 0 & 1 & 1 & -1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 \\ 1 & 1 & 1 & 0 & 0 & 0 & -1\end{pmatrix}$ 12: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 3 & 6 & 5 & 6 & 9 & 12 & 12 & 21 & 22 & 38 \\ 0 & 1 & 0 & 3 & 1 & 0 & 5 & 6 & 3 & 12 & 6 & 22 \\ 0 & 0 & 1 & 2 & 1 & 3 & 2 & 6 & 5 & 9 & 12 & 21 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 3 & 1 & 5 & 3 & 12 \\ 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 3 & 6 & 6 & 12 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 1 & 2 & 5 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,32)$ | 3 | 13 |
7: $\begin{pmatrix}-2 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & -1 & -1 & 0 \\ 0 & -1 & -1 & 0 & 1 & 1 & 1\end{pmatrix}$ 17: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 1 & 0 & 2 & -1 & 0 & -1 & 1 & 2 & 1 & 1 & 0 & 0 \\ 0 & 1 & -1 & 2 & 0 & -1 & 1 & 0 & 2 & 0 & 1 & 1 & -1 & 0 & -1 & 1 & 0 \\ 1 & 0 & 2 & -1 & 1 & 2 & 0 & 0 & -1 & 1 & 0 & -1 & 1 & 0 & 1 & -1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 2 & 3 & 5 & 8 & 8 & 9 & 11 & 14 & 20 & 13 & 16 & 25 & 38 & 34 & 54 \\ 0 & 1 & 0 & 2 & 2 & 3 & 5 & 5 & 8 & 8 & 14 & 9 & 8 & 16 & 23 & 25 & 38 \\ 0 & 0 & 1 & T^2 & 2 & 5 & 3 & 3 & 4+T^2 & 8 & 11 & 4 & 9 & 13 & 25 & 17 & 34 \\ 0 & 0 & T^2 & 1 & 0 & T^2 & 2 & 2 & 5 & 3 & 8 & 5 & 3 & 8 & 11 & 16 & 23 \\ 0 & 0 & 0 & 0 & 1 & 2 & 2 & 2 & 3 & 5 & 8 & 3 & 5 & 9 & 16 & 13 & 25 \\ 0 & 0 & 0 & T^2 & 0 & 1 & 0 & 0 & T^2 & 2 & 3 & 0 & 2 & 3 & 9 & 4 & 13 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 & 5 & 2 & 2 & 5 & 8 & 9 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 2 & 5 & 8 & 8 & 14 \\ T^2 & 0 & 3T^2 & 0 & 0 & T^2 & 0 & T^2 & 1 & 0 & 2 & 1 & 2T^2 & 2 & 3 & 5 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 1 & 2 & 5 & 3 & 9 \\ 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & T^2 & 1 & 2 & 2 & 5 \\ 0 & 0 & T^2 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 3 & 5 & 8 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 1 & 2 & 5 & 3 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & 5 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & T^2 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,33)$ | 3 | 13 |
7: $\begin{pmatrix}-2 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 & 0 & -1\end{pmatrix}$ 15: $\begin{pmatrix}2 & 1 & 1 & 0 & 2 & 0 & -1 & 1 & 1 & 0 & 2 & 0 & -1 & 1 & 0 \\ 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 1 & 2 & 1 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 3 & 3 & 5 & 6 & 6 & 5 & 12 & 12 & 15 & 22 & 22 & 31 & 53 \\ 0 & 1 & 1 & 3 & 3 & 3 & 6 & 5 & 8 & 12 & 12 & 16 & 22 & 25 & 44 \\ 0 & 0 & 1 & 1 & 1 & 3 & 3 & 1 & 5 & 5 & 5 & 12 & 12 & 15 & 31 \\ 0 & 0 & 0 & 1 & 1 & 1 & 3 & 1 & 3 & 5 & 5 & 8 & 12 & 12 & 25 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 3 & 3 & 5 & 6 & 6 & 12 & 22 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 5 & 5 & 5 & 15 \\ T^2 & 0 & 0 & 0 & 2T^2 & 0 & 1 & 0 & 1 & 1 & 1+3T^2 & 3 & 5 & 5 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 3 & 3 & 6 & 8 & 16 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 3 & 3 & 5 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 3 & 3 & 8 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 2T^2 & 0 & 1 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,34)$ | 3 | 13 |
7: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & -1 & -1 & 0 \\ 0 & -1 & -1 & 0 & 1 & 1 & 1\end{pmatrix}$ 15: $\begin{pmatrix}2 & 1 & 2 & 0 & 1 & 2 & 0 & 1 & 2 & 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 1 & -1 & 2 & 0 & 0 & 1 & 1 & -1 & -1 & 0 & 0 & -1 & 1 & 0 \\ 1 & 0 & 2 & -1 & 1 & 0 & 0 & -1 & 1 & 2 & 1 & 0 & 1 & -1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 2 & 2 & 3 & 5 & 3 & 8 & 5 & 7 & 8 & 14 & 13 & 22 & 19 & 34 \\ 0 & 1 & 0 & 2 & 2 & 1 & 5 & 3 & 2 & 3 & 8 & 7 & 11 & 13 & 22 \\ 0 & 0 & 1 & T^2 & 2 & 0 & 3 & 0 & 3 & 5 & 8 & 5 & 13 & 7 & 19 \\ 0 & 0 & T^2 & 1 & 0 & 0 & 2 & 1 & 0 & T^2 & 3 & 2 & 3 & 7 & 11 \\ 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 1 & 2 & 5 & 3 & 7 & 5 & 13 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 2 & 0 & 0 & 5 & 8 & 8 & 14 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 1 & 2 & 3 & 7 \\ 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 1 & 0 & T^2 & 0 & 2 & 3 & 5 & 8 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 5 & 3 & 8 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 3 & 0 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & 5 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,35)$ | 3 | 13 |
7: $\begin{pmatrix}-1 & -1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 & 0 & -1\end{pmatrix}$ 14: $\begin{pmatrix}1 & 1 & 0 & 2 & 1 & 0 & -1 & 1 & 2 & 0 & 0 & -1 & 1 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 2 & 1 & 1 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 3 & 2 & 5 & 3 & 6 & 7 & 9 & 12 & 15 & 22 & 22 & 41 \\ 0 & 1 & 1 & 1 & 1 & 3 & 3 & 5 & 5 & 5 & 12 & 12 & 15 & 31 \\ 0 & 0 & 1 & 0 & 1 & 1 & 3 & 2 & 2 & 5 & 7 & 12 & 9 & 22 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 & 3 & 5 & 3 & 6 & 6 & 12 & 22 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 2 & 3 & 3 & 6 & 7 & 15 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 5 & 5 & 5 & 15 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 1 & 0 & T^2 & 1 & 2 & 5 & 2 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 3 & 3 & 5 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 2 & 7 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 \\ 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,36)$ | 3 | 13 |
7: $\begin{pmatrix}1 & 0 & 0 & -1 & 0 & 0 & 1 \\ 0 & -1 & -1 & 0 & 1 & 1 & 1 \\ 0 & 1 & 1 & 1 & 0 & 0 & -1\end{pmatrix}$ 14: $\begin{pmatrix}1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ 1 & 0 & 2 & 1 & 0 & -1 & 1 & 2 & 0 & -1 & 1 & 0 & -1 & 0 \\ 1 & 2 & 0 & 1 & 1 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 2 & 3 & 3 & 3 & 7 & 5 & 9 & 6 & 16 & 15 & 18 & 33 \\ 0 & 1 & 0 & 2 & 1 & 3 & 2 & 3 & 7 & 3 & 11 & 7 & 15 & 25 \\ 0 & 0 & 1 & 1 & 0 & 0 & 3 & 3 & 3 & 0 & 9 & 6 & 6 & 18 \\ 0 & 0 & 0 & 1 & 0 & 0 & 1 & 2 & 3 & 0 & 7 & 3 & 6 & 15 \\ 0 & 0 & 0 & 0 & 1 & 1 & 2 & 0 & 3 & 3 & 5 & 7 & 9 & 16 \\ 0 & 0 & T^2 & 0 & 0 & 1 & 0 & T^2 & 2 & 1 & 3 & 2 & 7 & 11 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 3 & 3 & 3 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 1 & 3 & 7 \\ 0 & 0 & T^2 & 0 & 0 & 0 & 0 & T^2 & 0 & 1 & 0 & 2 & 3 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 \\ 0 & 0 & T^2 & 0 & 0 & 0 & 0 & T^2 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ | |
| $(4,37)$ | 3 | 13 |
7: $\begin{pmatrix}-1 & 0 & 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & -1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 & 0 & -1\end{pmatrix}$ 13: $\begin{pmatrix}2 & 1 & 1 & 2 & 0 & 1 & 0 & 2 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 1 & 0 & 2 & 0 & 1 & 0 & 1 & 0 & 0\end{pmatrix}$ |
$\begin{pmatrix}1 & 1 & 3 & 3 & 3 & 3 & 6 & 6 & 9 & 9 & 18 & 18 & 36 \\ 0 & 1 & 1 & 1 & 3 & 3 & 3 & 3 & 5 & 9 & 12 & 12 & 27 \\ 0 & 0 & 1 & 0 & 1 & 0 & 3 & 0 & 3 & 3 & 9 & 6 & 18 \\ 0 & 0 & 0 & 1 & 0 & 1 & 0 & 3 & 3 & 3 & 6 & 9 & 18 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 3 & 5 & 3 & 12 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 3 & 3 & 5 & 12 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 3 & 0 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 3 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 3 & 9 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 5 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\end{pmatrix}$ |