$F_7$
$${\rm LOG}\left(F_7\right)=\frac{2}{7}\pi
\left[\begin{array}{rrrrrrr}
\bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\
\bullet & 1 & 2 & 3 & 4 & 5 & 6\\
\bullet & 2 & 4 & 6 & 1 & 3 & 5\\
\bullet & 3 & 6 & 2 & 5 & 1 & 4\\
\bullet & 4 & 1 & 5 & 2 & 6 & 3\\
\bullet & 5 & 3 & 1 & 6 & 4 & 2\\
\bullet & 6 & 5 & 4 & 3 & 2 & 1
\end{array}\right]$$