$F_4\otimes F_4$


$${\rm LOG}\left(F_4 \otimes F_4\right)=\frac{1}{2}\pi \left[\begin{array}{rrrrrrrrrrrrrrrr} \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\ \bullet & 1 &2 &3 &\bullet & 1 &2& 3& \bullet & 1& 2& 3& \bullet & 1 &2 &3\\ \bullet & 2 &\bullet & 2 &\bullet & 2& \bullet & 2& \bullet & 2 &\bullet & 2 &\bullet & 2 &\bullet & 2\\ \bullet & 3 &2 &1 &\bullet & 3 &2 &1&\bullet & 3 &2& 1&\bullet & 3& 2& 1\\ \bullet & \bullet & \bullet & \bullet & 1 &1 &1 &1 &2 &2 &2 &2 &3 &3 &3 &3\\ \bullet & 1 &2 &3 &1 &2 &3 &\bullet & 2& 3& \bullet & 1 &3& \bullet & 1& 2\\ \bullet & 2 &\bullet & 2 &1& 3& 1& 3& 2& \bullet & 2& \bullet & 3 &1 &3 &1\\ \bullet & 3 &2 &1 &1 &\bullet & 3 &2 &2 &1 &\bullet & 3& 3& 2& 1& \bullet \\ \bullet & \bullet & \bullet & \bullet & 2 &2 &2 &2 &\bullet & \bullet & \bullet & \bullet & 2& 2& 2& 2\\ \bullet & 1 &2 &3 &2 &3 &\bullet & 1 &\bullet & 1& 2& 3& 2& 3& \bullet & 1\\ \bullet & 2& \bullet & 2& 2& \bullet & 2 &\bullet & \bullet & 2 &\bullet & 2 &2& \bullet & 2 &\bullet \\ \bullet & 3 &2 &1 &2 &1 &\bullet & 3& \bullet & 3& 2& 1& 2& 1& \bullet & 3\\ \bullet & \bullet & \bullet & \bullet & 3 &3 &3 &3 &2 &2 &2 &2 &1 &1 &1 &1\\ \bullet & 1 &2 &3 &3 &\bullet & 1& 2&2& 3 &\bullet & 1 &1 &2 &3 &\bullet \\ \bullet & 2 &\bullet & 2 &3 &1 &3 &1 &2 &\bullet & 2 &\bullet & 1& 3& 1& 3\\ \bullet & 3 &2 &1 &3 &2 &1 &\bullet & 2& 1& \bullet & 3& 1 & \bullet & 3 &2\\ \end{array}\right]$$