\begin{table}[!h]
\begin{center}
\begin{tabular}{|l|c|}
\hline
\multicolumn{2}{|c|}{\textbf{Enumerating sequence: $\{0\}_{n\geq k}$}}\\
\hline\hline

\emph{choose a pattern from the following to add} &\emph{to the symmetry class} \\
\hline


 $\begin{array}{l}
  21-3,\ 2-31,\ 23-1,\ 1-32,\ 13-2,\\
  3-12,\ 31-2,\ 32-1\\
\end{array}$
&O1\\
\hline


 $\begin{array}{l}
  2-31,\ 23-1,\ 1-32,\ 13-2,\ 3-12,\\
  31-2\\
\end{array}$
&O6\\
\hline


 $\begin{array}{l}
  21-3,\ 2-31,\ 23-1,\ 1-32,\ 3-12,\\
  31-2\\
\end{array}$
&O19\\
\hline


 $\begin{array}{l}
  2-31,\  23-1,\  1-32,\  13-2,\ 3-12 \\
  31-2\\
\end{array}$
&O23\\
\hline


 $\begin{array}{l}
  1-32, 13-2, 3-12, 31-2,\ 32-1 \\
  \end{array}$
&O8\\
\hline


 $\begin{array}{l}
  23-1,\  1-32,\  13-2,\  31-2,\  3-12\\
\end{array}$
&O24\\
\hline


 $\begin{array}{l}
  12-3,\  32-1,\  13-2,\  3-12,\  31-2 \\

\end{array}$
&O29\\
\hline


 $\begin{array}{l}
  3-12,\  13-2,\  1-32,\  23-1,\  12-3\\
\end{array}$
&O36\\
\hline


 $\begin{array}{l}
  1-32,\  13-2,\  3-12,\  31-2\\
\end{array}$
&O15\\
\hline


 $\begin{array}{l}
  13-2,\ 3-12,\ 31-2\\
\end{array}$
&O2\\
\hline


 $\begin{array}{l}
  1-32,\ 2-31,\ 31-2\\
\end{array}$
&O10\\
\hline


 $\begin{array}{l}
  12-3,\ 13-2,\ 3-12\\
\end{array}$
&O32\\
\hline


 $\begin{array}{l}
  1-32,\ 13-2,\ 32-1\\
\end{array}$
&O33\\
\hline


 $\begin{array}{l}
  3-21,\ 23-1,\ 1-32\\
\end{array}$
&O34\\
\hline


 $\begin{array}{l}
 3-12,\ 31-2\\
\end{array}$
&O3\\
\hline


 $\begin{array}{l}
  1-32,\ 13-2\\
\end{array}$
&O7\\
\hline


 $\begin{array}{l}
  13-2,\ 3-12\\
\end{array}$
&O9\\
\hline


 $\begin{array}{l}
  21-3,\ 13-2\\
\end{array}$
&O11\\
\hline


 $\begin{array}{l}
  1-32,\ 3-12\\
\end{array}$
&O20\\
\hline


 $\begin{array}{l}
  3-12,\ 23-1\\
\end{array}$
&O26\\
\hline



 $\begin{array}{l}
  2-31,\ 32-1\\
\end{array}$
&O27\\
\hline



 $\begin{array}{l}
 3-12\\
\end{array}$
&O5\\
\hline


 $\begin{array}{l}
  2-31\\
\end{array}$
&O12\\
\hline


 $\begin{array}{l}
  1-32\\
\end{array}$
&O21\\
\hline


 $\begin{array}{l}
  3-12\\
\end{array}$
&O30\\
\hline


 $\begin{array}{l}
  23-1\\
\end{array}$
&O35\\
\hline
\end{tabular}
\end{center}
\caption{permutations avoiding five patterns}\label{5mot_0}
\end{table}
