\begin{table}[h]
\caption{\label{ByRopTableone}Part 1 of Knot and Link Types sorted by Ropelength}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1}^m \# 8_{8}^m$ \\
$3_{1} \# 8_{8}$ \\
$3_{1}^m \# 3_{1}^m$ \\
$3_{1} \# 3_{1}$ \\
$3_{1} \# 3_{1}^m$ \\
$3_{1} \# 4_{1}$ \\
$3_{1}^m \# 4_{1}$ \\
$3_{1} \# 5_{1}$ \\
$3_{1}^m \# 5_{1}^m$ \\
$3_{1}^m \# 5_{1}$ \\
$3_{1} \# 5_{1}^m$ \\
$3_{1}^m \# 5_{2}^m$ \\
$3_{1} \# 5_{2}$ \\
$3_{1}^m \# 5_{2}$ \\
$3_{1} \# 5_{2}^m$ \\
$4_{1} \# 4_{1}$ \\
$3_{1} \# 3_{1} \# 3_{1}$ \\
$3_{1}^m \# 3_{1}^m \# 3_{1}^m$ \\
$3_{1} \# 3_{1}^m \# 3_{1}^m$ \\
$3_{1} \# 3_{1} \# 3_{1}^m$ \\
$4_{1} \# 5_{1}^m$ \\
$4_{1} \# 5_{1}$ \\
$3_{1} \# 6_{1}^m$ \\
$3_{1}^m \# 6_{1}$ \\
$3_{1}^m \# 6_{2}^m$ \\
$3_{1} \# 6_{2}$ \\
$4_{1} \# 5_{2}^m$ \\
$4_{1} \# 5_{2}$ \\
$3_{1} \# 6_{2}^m$ \\
$3_{1}^m \# 6_{2}$ \\
$3_{1}^m \# 6_{3}$ \\
$3_{1} \# 6_{3}$ \\
$3_{1} \# 6_{1}$ \\
$3_{1}^m \# 6_{1}^m$ \\
$3_{1} \# 8_{19}^m$ \\
$3_{1}^m \# 8_{19}$ \\
$3_{1}^m \# 8_{19}^m$ \\
$3_{1} \# 8_{19}$ \\
$3_{1}^m \# 8_{20}^m$ \\
$3_{1} \# 8_{20}$ \\
$3_{1} \# 7_{1}$ \\
$3_{1}^m \# 7_{1}^m$ \\
$3_{1}^m \# 7_{1}$ \\
$3_{1} \# 7_{1}^m$ \\
$3_{1}^m \# 8_{20}$ \\
$3_{1} \# 8_{20}^m$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1} \# 8_{20}^m$ \\
$5_{1}^m \# 5_{1}^m$ \\
$5_{1} \# 5_{1}$ \\
$5_{1} \# 5_{1}^m$ \\
$5_{1} \# 5_{2}$ \\
$5_{1}^m \# 5_{2}^m$ \\
$5_{1}^m \# 5_{2}$ \\
$5_{1} \# 5_{2}^m$ \\
$3_{1} \# 7_{2}$ \\
$3_{1}^m \# 7_{2}^m$ \\
$3_{1} \# 7_{3}^m$ \\
$3_{1}^m \# 7_{3}$ \\
$3_{1}^m \# 7_{4}$ \\
$3_{1} \# 7_{4}^m$ \\
$5_{2}^m \# 5_{2}^m$ \\
$5_{2} \# 5_{2}$ \\
$5_{2} \# 5_{2}^m$ \\
$3_{1} \# 3_{1} \# 4_{1}$ \\
$3_{1}^m \# 3_{1}^m \# 4_{1}$ \\
$3_{1} \# 8_{21}$ \\
$3_{1}^m \# 8_{21}^m$ \\
$3_{1}^m \# 7_{4}^m$ \\
$3_{1} \# 7_{4}$ \\
$3_{1} \# 3_{1}^m \# 4_{1}$ \\
$3_{1}^m \# 8_{21}$ \\
$3_{1} \# 8_{21}^m$ \\
$3_{1} \# 7_{5}^m$ \\
$3_{1}^m \# 7_{5}$ \\
$3_{1} \# 7_{5}$ \\
$3_{1}^m \# 7_{5}^m$ \\
$3_{1}^m \# 7_{2}$ \\
$3_{1} \# 7_{2}^m$ \\
$3_{1}^m \# 7_{3}^m$ \\
$3_{1} \# 7_{3}$ \\
$4_{1} \# 6_{1}$ \\
$4_{1} \# 6_{1}^m$ \\
$4_{1} \# 6_{2}^m$ \\
$4_{1} \# 6_{2}$ \\
$3_{1}^m \# 7_{6}$ \\
$3_{1} \# 7_{6}^m$ \\
$3_{1} \# 7_{6}$ \\
$3_{1}^m \# 7_{6}^m$ \\
$3_{1} \# 7_{7}^m$ \\
$3_{1}^m \# 7_{7}$ \\
$4_{1} \# 6_{3}$ \\
$3_{1} \# 7_{7}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1} \# 7_{7}$ \\
$3_{1}^m \# 7_{7}^m$ \\
$3_{1} \# 9_{46}$ \\
$3_{1}^m \# 9_{46}^m$ \\
$3_{1}^m \# 9_{46}$ \\
$3_{1} \# 9_{46}^m$ \\
$4_{1} \# 8_{19}^m$ \\
$4_{1} \# 8_{19}$ \\
$3_{1} \# 9_{42}^m$ \\
$3_{1}^m \# 9_{42}$ \\
$3_{1}^m \# 9_{42}^m$ \\
$3_{1} \# 9_{42}$ \\
$4_{1} \# 8_{20}$ \\
$4_{1} \# 8_{20}^m$ \\
$3_{1}^m \# 9_{43}^m$ \\
$3_{1} \# 9_{43}$ \\
$3_{1}^m \# 3_{1}^m \# 5_{1}^m$ \\
$3_{1} \# 3_{1} \# 5_{1}$ \\
$3_{1} \# 9_{43}^m$ \\
$3_{1}^m \# 9_{43}$ \\
$4_{1} \# 7_{1}$ \\
$4_{1} \# 7_{1}^m$ \\
$3_{1} \# 9_{44}$ \\
$3_{1}^m \# 9_{44}^m$ \\
$3_{1}^m \# 8_{1}^m$ \\
$3_{1} \# 8_{1}$ \\
$3_{1}^m \# 8_{1}$ \\
$3_{1} \# 8_{1}^m$ \\
$3_{1}^m \# 9_{44}$ \\
$3_{1} \# 9_{44}^m$ \\
$3_{1}^m \# 3_{1}^m \# 5_{1}$ \\
$3_{1} \# 3_{1} \# 5_{1}^m$ \\
$5_{1}^m \# 6_{1}$ \\
$5_{1} \# 6_{1}^m$ \\
$3_{1} \# 3_{1}^m \# 5_{1}$ \\
$3_{1} \# 8_{2}$ \\
$3_{1}^m \# 8_{2}^m$ \\
$5_{1} \# 6_{2}$ \\
$5_{1}^m \# 6_{2}^m$ \\
$5_{1} \# 6_{1}$ \\
$5_{1}^m \# 6_{1}^m$ \\
$3_{1} \# 8_{4}$ \\
$3_{1}^m \# 8_{4}^m$ \\
$3_{1}^m \# 8_{2}$ \\
$3_{1} \# 8_{2}^m$ \\
$3_{1}^m \# 3_{1}^m \# 5_{2}^m$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1}^m \# 3_{1}^m \# 5_{2}^m$ \\
$3_{1} \# 3_{1} \# 5_{2}$ \\
$3_{1} \# 8_{4}^m$ \\
$3_{1}^m \# 8_{4}$ \\
$4_{1} \# 7_{3}$ \\
$4_{1} \# 7_{3}^m$ \\
$3_{1} \# 3_{1}^m \# 5_{2}$ \\
$3_{1}^m \# 8_{5}^m$ \\
$3_{1} \# 8_{5}$ \\
$3_{1}^m \# 8_{5}$ \\
$3_{1} \# 8_{5}^m$ \\
$5_{1} \# 6_{3}$ \\
$5_{1}^m \# 6_{3}$ \\
$5_{1}^m \# 6_{2}$ \\
$5_{1} \# 6_{2}^m$ \\
$3_{1} \# 8_{3}$ \\
$3_{1}^m \# 8_{3}$ \\
$3_{1} \# 8_{7}^m$ \\
$3_{1}^m \# 8_{7}$ \\
$3_{1} \# 8_{8}^m$ \\
$3_{1}^m \# 8_{8}$ \\
$4_{1} \# 7_{4}$ \\
$4_{1} \# 7_{4}^m$ \\
$3_{1}^m \# 8_{6}^m$ \\
$3_{1} \# 8_{6}$ \\
$3_{1} \# 8_{7}$ \\
$3_{1}^m \# 8_{7}^m$ \\
$3_{1} \# 8_{11}^m$ \\
$5_{2} \# 6_{2}^m$ \\
$5_{2}^m \# 6_{2}$ \\
$3_{1} \# 8_{6}^m$ \\
$3_{1}^m \# 8_{6}$ \\
$3_{1} \# 8_{11}$ \\
$3_{1} \# 3_{1}^m \# 5_{1}^m$ \\
$5_{2} \# 6_{1}$ \\
$3_{1}^m \# 8_{13}$ \\
$3_{1} \# 8_{13}^m$ \\
$3_{1} \# 4_{1} \# 4_{1}$ \\
$3_{1}^m \# 4_{1} \# 4_{1}$ \\
$3_{1} \# 9_{49}^m$ \\
$3_{1}^m \# 9_{49}$ \\
$4_{1} \# 8_{21}^m$ \\
$4_{1} \# 8_{21}$ \\
$3_{1} \# 8_{10}$ \\
$3_{1}^m \# 8_{10}^m$ \\
$5_{2}^m \# 6_{3}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\end{table}
\begin{table}[h]
\caption{\label{ByRopTabletwo}Part 2 of Knot and Link Types sorted by Ropelength}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$5_{2}^m \# 6_{3}$ \\
$5_{2} \# 6_{3}$ \\
$3_{1}^m \# 8_{15}$ \\
$3_{1} \# 8_{15}^m$ \\
$4_{1} \# 7_{6}^m$ \\
$4_{1} \# 7_{6}$ \\
$5_{2}^m \# 6_{1}$ \\
$5_{2} \# 6_{1}^m$ \\
$4_{1} \# 7_{5}$ \\
$4_{1} \# 7_{5}^m$ \\
$3_{1} \# 8_{13}$ \\
$3_{1}^m \# 8_{13}^m$ \\
$3_{1} \# 8_{9}$ \\
$3_{1}^m \# 8_{9}$ \\
$4_{1} \# 7_{2}^m$ \\
$4_{1} \# 7_{2}$ \\
$3_{1} \# 9_{49}$ \\
$3_{1}^m \# 9_{49}^m$ \\
$5_{2} \# 6_{2}$ \\
$5_{2}^m \# 6_{2}^m$ \\
$3_{1} \# 8_{15}$ \\
$3_{1}^m \# 8_{15}^m$ \\
$3_{1}^m \# 9_{48}$ \\
$3_{1} \# 9_{48}^m$ \\
$3_{1} \# 8_{10}^m$ \\
$3_{1}^m \# 8_{10}$ \\
$4_{1} \# 7_{7}$ \\
$4_{1} \# 7_{7}^m$ \\
$3_{1}^m \# 8_{12}$ \\
$3_{1} \# 8_{12}$ \\
$3_{1} \# 8_{16}^m$ \\
$3_{1}^m \# 8_{16}$ \\
$3_{1} \# 3_{1}^m \# 5_{2}^m$ \\
$3_{1}^m \# 8_{14}$ \\
$3_{1} \# 8_{14}^m$ \\
$3_{1} \# 9_{47}^m$ \\
$3_{1}^m \# 9_{47}$ \\
$3_{1} \# 8_{14}$ \\
$3_{1}^m \# 8_{14}^m$ \\
$3_{1} \# 9_{48}$ \\
$3_{1}^m \# 9_{48}^m$ \\
$3_{1} \# 9_{45}$ \\
$3_{1}^m \# 9_{45}^m$ \\
$3_{1}^m \# 8_{16}^m$ \\
$3_{1} \# 8_{16}$ \\
$3_{1}^m \# 8_{17}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1}^m \# 8_{17}$ \\
$3_{1} \# 8_{17}$ \\
$3_{1}^m \# 9_{47}^m$ \\
$3_{1} \# 9_{47}$ \\
$3_{1} \# 9_{45}^m$ \\
$3_{1}^m \# 9_{45}$ \\
$3_{1}^m \# 8_{17}^r$ \\
$3_{1} \# 8_{17}^r$ \\
$3_{1}^m \# 8_{18}$ \\
$3_{1} \# 8_{18}$ \\
$3_{1} \# 9_{1}$ \\
$3_{1}^m \# 9_{1}^m$ \\
$3_{1} \# 9_{1}^m$ \\
$3_{1}^m \# 9_{1}$ \\
$5_{1} \# 7_{1}$ \\
$5_{1}^m \# 7_{1}^m$ \\
$5_{1} \# 7_{1}^m$ \\
$5_{1}^m \# 7_{1}$ \\
$5_{2}^m \# 7_{1}^m$ \\
$5_{2} \# 7_{1}$ \\
$3_{1}^m \# 9_{2}^m$ \\
$3_{1} \# 9_{2}$ \\
$5_{1}^m \# 7_{2}$ \\
$5_{1} \# 7_{2}^m$ \\
$5_{2} \# 7_{1}^m$ \\
$5_{2}^m \# 7_{1}$ \\
$3_{1} \# 9_{2}^m$ \\
$3_{1}^m \# 9_{2}$ \\
$3_{1} \# 9_{3}$ \\
$3_{1}^m \# 9_{3}^m$ \\
$3_{1} \# 9_{3}^m$ \\
$3_{1}^m \# 9_{3}$ \\
$5_{1}^m \# 7_{2}^m$ \\
$5_{1} \# 7_{2}$ \\
$3_{1}^m \# 9_{4}^m$ \\
$3_{1} \# 9_{4}$ \\
$5_{1} \# 7_{3}$ \\
$5_{1}^m \# 7_{3}^m$ \\
$3_{1} \# 9_{4}^m$ \\
$3_{1}^m \# 9_{4}$ \\
$5_{1} \# 7_{3}^m$ \\
$5_{1}^m \# 7_{3}$ \\
$3_{1}^m \# 3_{1}^m \# 3_{1}^m \# 3_{1}^m$ \\
$3_{1} \# 3_{1} \# 3_{1} \# 3_{1}$ \\
$4_{1} \# 8_{1}^m$ \\
$4_{1} \# 8_{1}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$4_{1} \# 8_{1}$ \\
$5_{1}^m \# 7_{4}$ \\
$5_{1} \# 7_{4}^m$ \\
$5_{2} \# 7_{3}$ \\
$5_{2}^m \# 7_{3}^m$ \\
$5_{1} \# 7_{4}$ \\
$5_{1}^m \# 7_{4}^m$ \\
$5_{2}^m \# 7_{3}$ \\
$5_{2} \# 7_{3}^m$ \\
$3_{1} \# 3_{1} \# 3_{1}^m \# 3_{1}^m$ \\
$3_{1} \# 4_{1} \# 5_{1}^m$ \\
$3_{1}^m \# 4_{1} \# 5_{1}$ \\
$3_{1}^m \# 4_{1} \# 5_{1}^m$ \\
$3_{1} \# 4_{1} \# 5_{1}$ \\
$3_{1} \# 9_{35}$ \\
$3_{1}^m \# 9_{35}^m$ \\
$4_{1} \# 8_{2}^m$ \\
$4_{1} \# 8_{2}$ \\
$3_{1}^m \# 9_{6}^m$ \\
$3_{1} \# 9_{6}$ \\
$6_{1} \# 6_{2}$ \\
$6_{1}^m \# 6_{2}^m$ \\
$3_{1}^m \# 9_{5}^m$ \\
$3_{1} \# 9_{5}$ \\
$5_{1} \# 7_{5}$ \\
$5_{1}^m \# 7_{5}^m$ \\
$3_{1}^m \# 3_{1}^m \# 6_{2}^m$ \\
$3_{1} \# 3_{1} \# 6_{2}$ \\
$3_{1} \# 9_{5}^m$ \\
$3_{1}^m \# 9_{5}$ \\
$3_{1} \# 9_{9}$ \\
$3_{1}^m \# 9_{9}^m$ \\
$3_{1} \# 9_{6}^m$ \\
$3_{1}^m \# 9_{6}$ \\
$3_{1}^m \# 9_{7}$ \\
$3_{1} \# 9_{7}^m$ \\
$4_{1} \# 8_{4}$ \\
$4_{1} \# 8_{4}^m$ \\
$5_{2}^m \# 7_{4}$ \\
$5_{2} \# 7_{4}^m$ \\
$5_{1}^m \# 7_{5}$ \\
$5_{1} \# 7_{5}^m$ \\
$5_{1}^m \# 7_{6}$ \\
$5_{1} \# 7_{6}^m$ \\
$3_{1} \# 9_{8}$ \\
$3_{1}^m \# 9_{8}^m$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1}^m \# 9_{8}^m$ \\
$3_{1} \# 3_{1} \# 3_{1} \# 3_{1}^m$ \\
$3_{1} \# 9_{11}^m$ \\
$3_{1}^m \# 9_{11}$ \\
$3_{1}^m \# 9_{35}$ \\
$3_{1} \# 9_{35}^m$ \\
$3_{1} \# 9_{10}$ \\
$3_{1}^m \# 9_{10}^m$ \\
$6_{1}^m \# 6_{1}^m$ \\
$6_{1} \# 6_{1}$ \\
$3_{1} \# 9_{11}$ \\
$3_{1}^m \# 9_{11}^m$ \\
$5_{2}^m \# 7_{2}^m$ \\
$5_{2} \# 7_{2}$ \\
$3_{1} \# 9_{12}^m$ \\
$3_{1}^m \# 9_{12}$ \\
$5_{2}^m \# 7_{4}^m$ \\
$5_{2} \# 7_{4}$ \\
$5_{1} \# 7_{6}$ \\
$5_{1}^m \# 7_{6}^m$ \\
$3_{1}^m \# 9_{8}$ \\
$3_{1} \# 9_{8}^m$ \\
$3_{1}^m \# 9_{17}^m$ \\
$3_{1} \# 9_{17}$ \\
$3_{1}^m \# 9_{9}$ \\
$3_{1} \# 9_{9}^m$ \\
$3_{1} \# 9_{10}^m$ \\
$3_{1}^m \# 9_{10}$ \\
$4_{1} \# 8_{5}$ \\
$4_{1} \# 8_{5}^m$ \\
$5_{1} \# 7_{7}^m$ \\
$5_{1}^m \# 7_{7}$ \\
$6_{2}^m \# 6_{2}^m$ \\
$6_{2} \# 6_{2}$ \\
$3_{1} \# 3_{1} \# 6_{1}$ \\
$3_{1}^m \# 3_{1}^m \# 6_{1}^m$ \\
$3_{1}^m \# 9_{14}$ \\
$3_{1} \# 9_{14}^m$ \\
$3_{1} \# 4_{1} \# 5_{2}^m$ \\
$3_{1}^m \# 4_{1} \# 5_{2}$ \\
$3_{1} \# 3_{1} \# 6_{1}^m$ \\
$3_{1}^m \# 3_{1}^m \# 6_{1}$ \\
$3_{1}^m \# 9_{16}^m$ \\
$3_{1} \# 9_{16}$ \\
$5_{2} \# 7_{5}^m$ \\
$5_{2}^m \# 7_{5}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\end{table}
\begin{table}[h]
\caption{\label{ByRopTablethree}Part 3 of Knot and Link Types sorted by Ropelength}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$5_{2}^m \# 7_{5}$ \\
$5_{2} \# 7_{5}$ \\
$5_{2}^m \# 7_{5}^m$ \\
$3_{1}^m \# 9_{20}$ \\
$3_{1} \# 9_{20}^m$ \\
$3_{1} \# 3_{1} \# 6_{2}^m$ \\
$3_{1}^m \# 3_{1}^m \# 6_{2}$ \\
$4_{1} \# 8_{6}^m$ \\
$3_{1} \# 3_{1}^m \# 6_{2}$ \\
$4_{1} \# 8_{6}$ \\
$4_{1} \# 8_{8}$ \\
$4_{1} \# 8_{8}^m$ \\
$5_{2} \# 7_{6}^m$ \\
$5_{2}^m \# 7_{6}$ \\
$3_{1} \# 9_{7}$ \\
$3_{1}^m \# 9_{7}^m$ \\
$6_{1}^m \# 6_{3}$ \\
$5_{2} \# 7_{6}$ \\
$5_{2}^m \# 7_{6}^m$ \\
$6_{1} \# 6_{3}$ \\
$3_{1} \# 9_{37}$ \\
$3_{1}^m \# 9_{37}^m$ \\
$3_{1}^m \# 9_{14}^m$ \\
$3_{1} \# 9_{14}$ \\
$3_{1} \# 9_{19}$ \\
$3_{1}^m \# 9_{19}^m$ \\
$4_{1} \# 8_{7}$ \\
$4_{1} \# 8_{7}^m$ \\
$3_{1}^m \# 9_{15}$ \\
$3_{1} \# 9_{15}^m$ \\
$3_{1}^m \# 9_{15}^m$ \\
$3_{1} \# 9_{15}$ \\
$3_{1} \# 9_{17}^m$ \\
$3_{1}^m \# 9_{17}$ \\
$3_{1} \# 9_{36}^m$ \\
$3_{1}^m \# 9_{36}$ \\
$5_{2} \# 7_{2}^m$ \\
$5_{2}^m \# 7_{2}$ \\
$3_{1}^m \# 3_{1}^m \# 6_{3}$ \\
$3_{1} \# 3_{1} \# 6_{3}$ \\
$3_{1} \# 9_{20}$ \\
$3_{1}^m \# 9_{20}^m$ \\
$4_{1} \# 8_{3}$ \\
$3_{1} \# 9_{12}$ \\
$3_{1}^m \# 9_{12}^m$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1}^m \# 9_{12}^m$ \\
$6_{2} \# 6_{2}^m$ \\
$4_{1} \# 8_{11}^m$ \\
$4_{1} \# 8_{11}$ \\
$3_{1}^m \# 9_{37}$ \\
$3_{1} \# 9_{37}^m$ \\
$6_{2} \# 6_{3}$ \\
$6_{2}^m \# 6_{3}$ \\
$3_{1}^m \# 9_{18}^m$ \\
$3_{1} \# 9_{18}$ \\
$3_{1} \# 9_{21}$ \\
$3_{1}^m \# 9_{21}^m$ \\
$3_{1} \# 3_{1}^m \# 6_{2}^m$ \\
$3_{1}^m \# 9_{16}$ \\
$3_{1} \# 9_{16}^m$ \\
$3_{1} \# 9_{21}^m$ \\
$3_{1}^m \# 9_{21}$ \\
$4_{1} \# 8_{12}$ \\
$3_{1}^m \# 9_{36}^m$ \\
$3_{1} \# 9_{36}$ \\
$3_{1} \# 9_{24}^m$ \\
$3_{1}^m \# 9_{24}$ \\
$4_{1} \# 8_{9}$ \\
$3_{1}^m \# 9_{18}$ \\
$3_{1} \# 9_{18}^m$ \\
$3_{1} \# 3_{1}^m \# 3_{1}^m \# 3_{1}^m$ \\
$3_{1} \# 3_{1}^m \# 6_{3}$ \\
$3_{1}^m \# 9_{22}^m$ \\
$3_{1} \# 9_{22}$ \\
$5_{1}^m \# 7_{7}^m$ \\
$5_{1} \# 7_{7}$ \\
$3_{1}^m \# 9_{22}$ \\
$3_{1} \# 9_{22}^m$ \\
$3_{1} \# 9_{25}$ \\
$3_{1}^m \# 9_{25}^m$ \\
$3_{1} \# 9_{29}$ \\
$3_{1}^m \# 9_{29}^m$ \\
$4_{1} \# 4_{1} \# 4_{1}$ \\
$6_{1} \# 6_{2}^m$ \\
$6_{1}^m \# 6_{2}$ \\
$4_{1} \# 8_{13}^m$ \\
$4_{1} \# 8_{13}$ \\
$3_{1}^m \# 9_{30}$ \\
$3_{1} \# 9_{30}^m$ \\
$3_{1}^m \# 9_{26}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1}^m \# 9_{26}$ \\
$3_{1} \# 9_{26}^m$ \\
$4_{1} \# 8_{15}^m$ \\
$4_{1} \# 8_{15}$ \\
$3_{1} \# 9_{25}^m$ \\
$3_{1}^m \# 9_{25}$ \\
$3_{1} \# 9_{28}$ \\
$3_{1}^m \# 9_{28}^m$ \\
$3_{1}^m \# 9_{23}$ \\
$3_{1} \# 9_{23}^m$ \\
$3_{1} \# 9_{26}$ \\
$3_{1}^m \# 9_{26}^m$ \\
$4_{1} \# 8_{14}^m$ \\
$4_{1} \# 8_{14}$ \\
$5_{2} \# 7_{7}^m$ \\
$5_{2}^m \# 7_{7}$ \\
$4_{1} \# 8_{10}^m$ \\
$4_{1} \# 8_{10}$ \\
$3_{1}^m \# 9_{30}^m$ \\
$3_{1} \# 9_{30}$ \\
$3_{1}^m \# 9_{27}$ \\
$3_{1} \# 9_{27}^m$ \\
$3_{1}^m \# 9_{24}^m$ \\
$3_{1} \# 9_{24}$ \\
$3_{1}^m \# 9_{28}$ \\
$3_{1} \# 9_{28}^m$ \\
$3_{1} \# 9_{19}^m$ \\
$3_{1}^m \# 9_{19}$ \\
$3_{1}^m \# 9_{23}^m$ \\
$3_{1} \# 9_{23}$ \\
$3_{1} \# 9_{13}^m$ \\
$3_{1}^m \# 9_{13}$ \\
$3_{1}^m \# 9_{13}^m$ \\
$3_{1} \# 9_{13}$ \\
$3_{1}^m \# 9_{41}$ \\
$3_{1} \# 9_{41}^m$ \\
$3_{1} \# 9_{32}$ \\
$3_{1} \# 9_{38}$ \\
$3_{1}^m \# 9_{38}^m$ \\
$3_{1}^m \# 9_{41}^m$ \\
$3_{1} \# 9_{41}$ \\
$3_{1} \# 3_{1}^m \# 6_{1}$ \\
$4_{1} \# 8_{16}$ \\
$4_{1} \# 8_{16}^m$ \\
$3_{1} \# 9_{31}$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\begin{tabular}[t]{l} \toprule
Knot\\ \midrule 
$3_{1} \# 9_{31}$ \\
$3_{1}^m \# 9_{31}^m$ \\
$3_{1} \# 9_{39}$ \\
$3_{1}^m \# 9_{39}^m$ \\
$3_{1}^m \# 9_{38}$ \\
$3_{1} \# 9_{38}^m$ \\
$3_{1} \# 9_{39}^m$ \\
$3_{1}^m \# 9_{39}$ \\
$3_{1} \# 9_{33}^m$ \\
$3_{1}^m \# 9_{33}$ \\
$3_{1} \# 9_{32}^r$ \\
$4_{1} \# 8_{17}$ \\
$3_{1} \# 9_{27}$ \\
$3_{1}^m \# 9_{27}^m$ \\
$3_{1}^m \# 9_{29}$ \\
$3_{1} \# 9_{29}^m$ \\
$3_{1} \# 9_{34}$ \\
$3_{1}^m \# 9_{34}^m$ \\
$3_{1} \# 3_{1} \# 5_{2}^m$ \\
$3_{1}^m \# 3_{1}^m \# 5_{2}$ \\
$6_{1} \# 6_{1}^m$ \\
$3_{1}^m \# 9_{31}$ \\
$3_{1} \# 9_{31}^m$ \\
$6_{3} \# 6_{3}$ \\
$5_{2}^m \# 7_{7}^m$ \\
$5_{2} \# 7_{7}$ \\
$4_{1} \# 8_{17}^r$ \\
$3_{1} \# 3_{1}^m \# 6_{1}^m$ \\
$3_{1}^m \# 9_{32}$ \\
$3_{1} \# 9_{32}^m$ \\
$3_{1}^m \# 9_{32}^r$ \\
$3_{1}^m \# 9_{34}$ \\
$3_{1} \# 9_{34}^m$ \\
$3_{1} \# 9_{40}^m$ \\
$3_{1}^m \# 9_{40}$ \\
$3_{1}^m \# 9_{40}^m$ \\
$3_{1} \# 9_{40}$ \\
$3_{1}^m \# 4_{1} \# 5_{2}^m$ \\
$3_{1} \# 4_{1} \# 5_{2}$ \\
$3_{1}^m \# 9_{33}^m$ \\
$3_{1} \# 9_{33}$ \\
$4_{1} \# 8_{18}$ \\
$3_{1}^m \# 9_{33}^r$ \\
$3_{1} \# 9_{33}^r$ \\
\bottomrule
\end{tabular}
\hspace{0.25in}
\end{table}
