Characteristic polynomial
$$\begin{equation}\left(\lambda + 3\right) \left(\lambda + 4\right) \left(\lambda^{12} + 6 \lambda^{11} - 161 \lambda^{10} - 2347 \lambda^{9} - 13773 \lambda^{8} - 44890 \lambda^{7} - 39270 \lambda^{6} + 680723 \lambda^{5} + 5085523 \lambda^{4} + 17788229 \lambda^{3} + 34550068 \lambda^{2} + 36571607 \lambda + 17197588\right)\notag\end{equation}$$
Minimal polynomial
$$\begin{equation}\left(\lambda + 3\right) \left(\lambda + 4\right) \left(\lambda^{12} + 6 \lambda^{11} - 161 \lambda^{10} - 2347 \lambda^{9} - 13773 \lambda^{8} - 44890 \lambda^{7} - 39270 \lambda^{6} + 680723 \lambda^{5} + 5085523 \lambda^{4} + 17788229 \lambda^{3} + 34550068 \lambda^{2} + 36571607 \lambda + 17197588\right)\notag\end{equation}$$
Quantum multiplication matrix
$$\begin{equation}\begin{pmatrix}0 & 4 & 6 & 14 & 9 & 21 & 45 & 15 & 27 & 39 & 96 & 32 & 88 & 150 \\ 1 & -1 & 0 & 2 & 6 & 10 & 6 & 2 & 4 & 6 & 36 & 12 & 21 & 48 \\ 1 & 0 & -1 & 3 & 4 & 6 & 8 & 0 & 6 & 10 & 12 & 0 & 12 & 16 \\ 1 & 1 & 1 & 0 & 0 & 4 & 10 & 4 & 6 & 8 & 15 & 6 & 18 & 32 \\ 0 & 1 & 1 & 0 & -2 & 3 & 2 & 0 & 1 & 2 & 4 & 0 & 2 & 6 \\ 0 & 1 & 0 & 1 & 1 & -1 & 0 & 0 & 1 & 1 & 10 & 4 & 4 & 12 \\ 0 & 0 & 1 & 1 & 1 & 0 & -1 & 0 & 2 & 3 & 4 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & 3 & -1 & 0 & 0 & 6 & 4 & 6 & 12 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & -2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & -2 & 0 & 0 & 4 & 6 \\ 0 & 0 & 0 & 0 & 1 & \frac{7}{2} & \frac{1}{4} & -\frac{1}{2} & \frac{3}{2} & 2 & \frac{1}{4} & \frac{1}{2} & \frac{1}{2} & 4 \\ 0 & 0 & 0 & 0 & 1 & -\frac{15}{4} & \frac{15}{8} & \frac{9}{4} & -\frac{11}{4} & -\frac{7}{2} & -\frac{1}{8} & -\frac{9}{4} & \frac{9}{4} & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & \frac{7}{2} & 1 & 2 & 3 & \frac{5}{2} & 1 & 0 & 4 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \frac{7}{2} & 1 & \frac{5}{2} & 0\end{pmatrix}\notag\end{equation}$$