Characteristic polynomial
$$\begin{equation}\lambda \left(\lambda + 1\right) \left(\lambda + 3\right) \left(\lambda + 4\right)^{2} \left(\lambda + 5\right)^{2} \left(\lambda^{10} - 6 \lambda^{9} - 155 \lambda^{8} + 12 \lambda^{7} + 6200 \lambda^{6} + 15600 \lambda^{5} - 34808 \lambda^{4} - 133632 \lambda^{3} - 315376 \lambda^{2} - 1756640 \lambda - 2873200\right)\notag\end{equation}$$
Minimal polynomial
$$\begin{equation}\lambda \left(\lambda + 1\right) \left(\lambda + 3\right) \left(\lambda + 4\right) \left(\lambda + 5\right) \left(\lambda^{10} - 6 \lambda^{9} - 155 \lambda^{8} + 12 \lambda^{7} + 6200 \lambda^{6} + 15600 \lambda^{5} - 34808 \lambda^{4} - 133632 \lambda^{3} - 315376 \lambda^{2} - 1756640 \lambda - 2873200\right)\notag\end{equation}$$
Quantum multiplication matrix
$$\begin{equation}\begin{pmatrix}0 & 2 & 4 & 6 & 12 & 0 & 6 & 6 & 6 & 18 & 24 & 15 & 8 & 8 & 24 & 40 & 40 \\ 1 & -1 & 0 & 1 & 0 & 4 & 4 & 12 & 0 & 0 & 4 & 0 & 6 & 18 & 18 & 6 & 32 \\ 1 & 0 & -1 & 0 & 2 & 2 & 0 & 0 & 6 & 8 & 4 & 4 & 6 & 6 & 6 & 18 & 16 \\ 1 & 1 & 0 & -1 & 2 & 0 & 0 & 0 & 4 & 4 & 8 & 4 & 0 & 0 & 0 & 12 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 2 & 2 & 0 & 4 & 6 & 4 & 0 & 0 & 6 & 6 & 8 \\ 0 & 1 & 1 & 0 & 0 & -2 & 0 & 2 & 1 & 0 & 0 & 0 & 4 & 8 & 4 & 4 & 12 \\ 0 & 1 & 0 & 2 & 0 & 0 & -1 & 2 & 0 & 0 & 2 & 0 & 4 & 4 & 8 & 4 & 12 \\ 0 & 1 & 0 & 0 & 1 & 1 & 1 & -1 & 0 & 0 & 1 & 0 & 0 & 4 & 4 & 0 & 6 \\ 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & -2 & 2 & 2 & 1 & 0 & 0 & 0 & 4 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & -1 & 0 & 1 & 2 & 2 & 0 & 6 & 6 \\ 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & -1 & 1 & 0 & 0 & 0 & 4 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 0 & 2 & 2 & -2 & 0 & 0 & 4 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 1 & -1 & 2 & -1 & -1 & -2 & -2 & 1 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 1 & 0 & \frac{1}{2} & 1 & -1 & 1 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 3 & 1 & 1 & 1 & 0 & 1 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & \frac{3}{2} & 0 & 1 & 0 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 2 & 3 & 0\end{pmatrix}\notag\end{equation}$$