$H_{12}$
$${\rm LOG}\left(H_{12}\right)=\pi
\left[\begin{array}{rrrrrrrrrrrr}
\bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\
\bullet &1 & \bullet & 1 & \bullet & \bullet & \bullet & 1 & 1 & 1 & \bullet & 1\\
\bullet &1 & 1 & \bullet & 1 & \bullet & \bullet & \bullet & 1 & 1 & 1 & \bullet\\
\bullet &\bullet & 1 & 1 & \bullet & 1 & \bullet & \bullet & \bullet & 1 & 1 & 1\\
\bullet &1 & \bullet & 1 & 1 & \bullet & 1 & \bullet & \bullet & \bullet & 1 & 1\\
\bullet &1 & 1 & \bullet & 1 & 1 & \bullet & 1 & \bullet & \bullet & \bullet & 1\\
\bullet &1 & 1 & 1 & \bullet & 1 & 1 & \bullet & 1 & \bullet & \bullet & \bullet\\
\bullet &\bullet & 1 & 1 & 1 & \bullet & 1 & 1 & \bullet & 1 & \bullet & \bullet\\
\bullet &\bullet & \bullet & 1 & 1 & 1 & \bullet & 1 & 1 & \bullet & 1 & \bullet\\
\bullet &\bullet & \bullet & \bullet & 1 & 1 & 1 & \bullet & 1 & 1 & \bullet & 1\\
\bullet &1 & \bullet & \bullet & \bullet & 1 & 1 & 1 & \bullet & 1 & 1 & \bullet\\
\bullet &\bullet & 1 & \bullet & \bullet & \bullet & 1 & 1 & 1 & \bullet & 1 & 1
\end{array}\right]$$