$F_4$

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