$L_{12}^{(0)}$
$${\rm LOG}\left(L_{12}^{(0)}\right)=\frac{1}{3}\pi
\left[\begin{array}{rrrrrrrrrrrr}
\bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\
\bullet & \bullet & \bullet & \bullet & \bullet & 2 & 2 & 3 & 3 & 3 & 4 & 4\\
\bullet & \bullet & \bullet & 2 & 3 & 4 & 4 & \bullet & \bullet & 2 & 3 & 3\\
\bullet & \bullet & 4 & 3 & 2 & 1 & 5 & 2 & 4 & 4 & \bullet & 2\\
\bullet & 2 & 2 & 5 & \bullet & 5 & 5 & 4 & 4 & 2 & 2 & 2\\
\bullet & 2 & 4 & \bullet & 4 & 2 & 4 & \bullet & 2 & 4 & 2 & \bullet\\
\bullet & 2 & 4 & 2 & 4 & \bullet & 2 & 3 & 5 & 1 & 4 & \bullet\\
\bullet & 2 & 4 & 4 & 1 & 4 & 2 & \bullet & 2 & \bullet & 5 & 3\\
\bullet & 4 & \bullet & 3 & 2 & 5 & 1 & 4 & 2 & 4 & 2 & \bullet\\
\bullet & 4 & 2 & \bullet & 4 & 4 & 2 & 2 & \bullet & 4 & \bullet & 2\\
\bullet & 4 & 2 & 2 & 4 & 2 & \bullet & 5 & 3 & 1 & \bullet & 4\\
\bullet & 4 & 2 & 4 & 1 & 2 & 4 & 2 & \bullet & \bullet & 3 & 5
\end{array}\right]$$