Characteristic polynomial
$$\begin{equation}\left(\lambda + 2\right)^{2} \left(\lambda + 3\right) \left(\lambda^{2} + 6 \lambda + 13\right) \left(\lambda^{4} + 13 \lambda^{3} + 71 \lambda^{2} + 219 \lambda + 331\right) \left(\lambda^{8} - 12 \lambda^{7} + 2 \lambda^{6} + 100 \lambda^{5} + 77 \lambda^{4} + 4120 \lambda^{3} - 8240 \lambda^{2} - 32960 \lambda + 346496\right)\notag\end{equation}$$
Minimal polynomial
$$\begin{equation}\left(\lambda + 2\right) \left(\lambda + 3\right) \left(\lambda^{2} + 6 \lambda + 13\right) \left(\lambda^{4} + 13 \lambda^{3} + 71 \lambda^{2} + 219 \lambda + 331\right) \left(\lambda^{8} - 12 \lambda^{7} + 2 \lambda^{6} + 100 \lambda^{5} + 77 \lambda^{4} + 4120 \lambda^{3} - 8240 \lambda^{2} - 32960 \lambda + 346496\right)\notag\end{equation}$$
Quantum multiplication matrix
$$\begin{equation}\begin{pmatrix}0 & 0 & 0 & 4 & 8 & 0 & 0 & 0 & 6 & 6 & 18 & 9 & 8 & 8 & 8 & 24 & 20 \\ 1 & -1 & 0 & 0 & 0 & 0 & 4 & 8 & 0 & 0 & 0 & 0 & 6 & 6 & 18 & 6 & 16 \\ 1 & 1 & -1 & 0 & 0 & -2 & 0 & 0 & 4 & 8 & 4 & 2 & 0 & 0 & 0 & 12 & 0 \\ 1 & 0 & 1 & -1 & 2 & 2 & 0 & 0 & -2 & 0 & 4 & 2 & -3 & 0 & 0 & 0 & 0 \\ 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 2 & 0 & 4 & 2 & 3 & 0 & 0 & 6 & 8 \\ 0 & 1 & 2 & 0 & 0 & -1 & 0 & 0 & 0 & 0 & 0 & 0 & 4 & 8 & 4 & 4 & 12 \\ 0 & 1 & 0 & 1 & 0 & 1 & -2 & 2 & 0 & 0 & 0 & 0 & -2 & 0 & 4 & 0 & 0 \\ 0 & 1 & 0 & 0 & 1 & 0 & 1 & -1 & 0 & 0 & 0 & 0 & 2 & 0 & 4 & 0 & 6 \\ 0 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & -1 & 2 & 2 & 1 & 0 & 0 & 0 & 4 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & -1 & 0 & 0 & 0 & -2 & 0 & 4 & 0 \\ 0 & 0 & 0 & 1 & 2 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 3 & 0 & 0 & 0 & -1 & 2 & 2 & 2 & 4 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 2 & 0 & 0 & 1 & -1 & 0 & 0 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 1 & \frac{1}{2} & 0 & 1 & -1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 3 & \frac{3}{2} & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 3 & 4 & 0\end{pmatrix}\notag\end{equation}$$