%  acceptance matrix for the triangle lattice with double plaq
%  and extra link. 
%
\begin{tabular}{cc|cccccccc} 
        &               & \multicolumn{8}{c}{Operations} \\ 
Energy & Config \qquad\quad & 1 & 4 & 2 & 8 & 5 & 10 & 18 & 19    \\
\hline
$-4J$  &  1     \qquad\quad & 1 & 1 & 0 & 0 & 1 & 0  & 1  & 1     \\ 
$-2J$  &  2     \qquad\quad & 1 & 1 & 0 & 0 & 0 & 0  & 1  & 0     \\ 
$-2J$  &  3     \qquad\quad & 0 & 1 & 1 & 0 & 0 & 1  & 0  & 0     \\ 
$-2J$  &  4     \qquad\quad & 1 & 0 & 1 & 1 & 1 & 0  & 0  & 0     \\ 
$-2J$  &  5     \qquad\quad & 0 & 0 & 1 & 1 & 0 & 0  & 0  & 0     \\ 
$-2J$  &  6     \qquad\quad & 0 & 0 & 1 & 0 & 0 & 0  & 0  & 0     \\ 
~0~    &  7     \qquad\quad & 0 & 1 & 0 & 0 & 0 & 0  & 0  & 0     \\ 
~0~    &  8     \qquad\quad & 1 & 0 & 0 & 0 & 0 & 0  & 0  & 0     \\ 
\end{tabular}
