|
$1$ |
$\begin{pmatrix}1 & 1 & 1 & 1\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -2t_3+1 & -t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 10 & 20 \\ 0 & 1 & 4 & 10 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0$ |
$\begin{pmatrix}1 & 3 & 1 & 1\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & -5t_3^3+9t_3^2-5t_3+1 & -t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 4 & 10 \\ 0 & 1 & 6 & 20 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0s_1$ |
$\begin{pmatrix}1 & 1 & 3 & 1\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & -t_3+1 & -t_3^3+t_3^2-t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 20 & 10 \\ 0 & 1 & 6 & 4 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0s_1s_2$ |
$\begin{pmatrix}1 & 1 & 1 & 1\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & -t_3+1 & 1 & t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 10 & 20 \\ 0 & 1 & 4 & 10 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0s_1^2$ |
$\begin{pmatrix}1 & 3 & 17 & 1\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & -t_3^3+t_3^2-t_3+1 & -40t_3^3+16t_3^2-5t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 20 & 116 & 10 \\ 0 & 1 & 6 & 4 \\ 0 & 0 & 1 & 20 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0^2$ |
$\begin{pmatrix}3 & 11 & 1 & 1\end{pmatrix}$ |
$\begin{pmatrix}-5t_3^3+9t_3^2-5t_3+1 & -760t_3^3+150t_3^2-18t_3+1 & -t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 6 & 20 \\ 0 & 1 & 20 & 70 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0^2s_1$ |
$\begin{pmatrix}3 & 1 & 9 & 1\end{pmatrix}$ |
$\begin{pmatrix}-5t_3^3+9t_3^2-5t_3+1 & -t_3+1 & -8t_3^3+4t_3^2-2t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 6 & 116 & 20 \\ 0 & 1 & 20 & 4 \\ 0 & 0 & 1 & 10 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_0^3$ |
$\begin{pmatrix}11 & 41 & 1 & 1\end{pmatrix}$ |
$\begin{pmatrix}-760t_3^3+150t_3^2-18t_3+1 & -47160t_3^3+2200t_3^2-67t_3+1 & -t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 20 & 70 \\ 0 & 1 & 74 & 260 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1$ |
$\begin{pmatrix}1 & 1 & 3 & 1\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -t_3+1 & 2t_3^2-2t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 10 & 36 & 20 \\ 0 & 1 & 4 & 4 \\ 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1s_0$ |
$\begin{pmatrix}1 & 9 & 3 & 1\end{pmatrix}$ |
$\begin{pmatrix}-t_3+1 & -48t_3^3+24t_3^2-7t_3+1 & 2t_3^2-2t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 10 & 4 & 4 \\ 0 & 1 & 4 & 20 \\ 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1s_0s_1$ |
$\begin{pmatrix}1 & 3 & 3 & 1\end{pmatrix}$ |
$\begin{pmatrix}-t_3+1 & 2t_3^2-2t_3+1 & -t_3^3+t_3^2-t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 6 & 4 \\ 0 & 1 & 4 & 6 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1s_2$ |
$\begin{pmatrix}1 & 1 & 1 & 3\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -t_3+1 & 1 & 2t_3^2+2t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 10 & 20 & 84 \\ 0 & 1 & 4 & 20 \\ 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1s_2s_0$ |
$\begin{pmatrix}1 & 9 & 1 & 3\end{pmatrix}$ |
$\begin{pmatrix}-t_3+1 & -48t_3^3+24t_3^2-7t_3+1 & 1 & 2t_3^2+2t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 10 & 4 & 20 \\ 0 & 1 & 20 & 116 \\ 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1s_2^2$ |
$\begin{pmatrix}1 & 1 & 3 & 17\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -t_3+1 & 2t_3^2+2t_3+1 & 280t_3^3+72t_3^2+12t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 10 & 84 & 484 \\ 0 & 1 & 20 & 116 \\ 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1^2$ |
$\begin{pmatrix}1 & 3 & 11 & 1\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & 2t_3^2-2t_3+1 & -55t_3^3+25t_3^2-7t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 36 & 134 & 20 \\ 0 & 1 & 4 & 6 \\ 0 & 0 & 1 & 20 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1^2s_2$ |
$\begin{pmatrix}1 & 3 & 1 & 9\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & 2t_3^2-2t_3+1 & 1 & 48t_3^3+24t_3^2+7t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 36 & 20 & 266 \\ 0 & 1 & 6 & 116 \\ 0 & 0 & 1 & 20 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_1^3$ |
$\begin{pmatrix}1 & 11 & 41 & 1\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -55t_3^3+25t_3^2-7t_3+1 & -2960t_3^3+340t_3^2-26t_3+1 & 1\end{pmatrix}$ |
$\begin{pmatrix}1 & 134 & 500 & 20 \\ 0 & 1 & 4 & 20 \\ 0 & 0 & 1 & 74 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2$ |
$\begin{pmatrix}1 & 1 & 1 & 3\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -2t_3+1 & 1 & t_3^3+t_3^2+t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 20 & 70 \\ 0 & 1 & 10 & 36 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2s_0$ |
$\begin{pmatrix}1 & 3 & 1 & 3\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & -5t_3^3+9t_3^2-5t_3+1 & 1 & t_3^3+t_3^2+t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 10 & 36 \\ 0 & 1 & 20 & 74 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2s_0s_1$ |
$\begin{pmatrix}1 & 1 & 17 & 3\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & 1 & 40t_3^3+16t_3^2+5t_3+1 & t_3^3+t_3^2+t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 10 & 196 & 36 \\ 0 & 1 & 20 & 4 \\ 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2s_0^2$ |
$\begin{pmatrix}3 & 11 & 1 & 3\end{pmatrix}$ |
$\begin{pmatrix}-5t_3^3+9t_3^2-5t_3+1 & -760t_3^3+150t_3^2-18t_3+1 & 1 & t_3^3+t_3^2+t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 20 & 74 \\ 0 & 1 & 70 & 260 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2s_1$ |
$\begin{pmatrix}1 & 1 & 9 & 3\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & 1 & 8t_3^3+4t_3^2+2t_3+1 & t_3^3+t_3^2+t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 20 & 196 & 70 \\ 0 & 1 & 10 & 4 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2s_1s_0$ |
$\begin{pmatrix}1 & 19 & 9 & 3\end{pmatrix}$ |
$\begin{pmatrix}1 & 27t_3^3+9t_3^2+3t_3+1 & 8t_3^3+4t_3^2+2t_3+1 & t_3^3+t_3^2+t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 20 & 10 & 4 \\ 0 & 1 & 4 & 10 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2s_1s_2$ |
$\begin{pmatrix}1 & 1 & 3 & 3\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & 1 & t_3^3+t_3^2+t_3+1 & 2t_3^2+2t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 20 & 70 & 84 \\ 0 & 1 & 4 & 6 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2^2$ |
$\begin{pmatrix}1 & 1 & 3 & 11\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -2t_3+1 & t_3^3+t_3^2+t_3+1 & 20t_3^3+10t_3^2+4t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 70 & 260 \\ 0 & 1 & 36 & 134 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2^2s_0$ |
$\begin{pmatrix}1 & 3 & 3 & 11\end{pmatrix}$ |
$\begin{pmatrix}-2t_3+1 & -5t_3^3+9t_3^2-5t_3+1 & t_3^3+t_3^2+t_3+1 & 20t_3^3+10t_3^2+4t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 36 & 134 \\ 0 & 1 & 74 & 276 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |
|
$s_2^3$ |
$\begin{pmatrix}1 & 1 & 11 & 41\end{pmatrix}$ |
$\begin{pmatrix}-3t_3+1 & -2t_3+1 & 20t_3^3+10t_3^2+4t_3+1 & 680t_3^3+120t_3^2+15t_3+1\end{pmatrix}$ |
$\begin{pmatrix}1 & 4 & 260 & 970 \\ 0 & 1 & 134 & 500 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1\end{pmatrix}$ |