\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 161.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:161}}} \\ \midrule \endfirsthead

\multicolumn{6}{c}{{\tablename\ \thetable{} -- continued from previous page}} \\ \addlinespace[1.7ex] \midrule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:161}}} \\ \midrule \endhead

\midrule \multicolumn{6}{c}{{Continued on next page}} \endfoot

\bottomrule \endlastfoot

3927 && $xy^2+2xy+x+\frac{2x}{z}+\frac{2x}{yz}+\frac{x}{y^2z^2}+y^3z+3y^2z+3yz+4y+z+\frac{3}{y}+\frac{5}{yz}+\frac{4}{y^2z}+\frac{2}{y^3z^2}+\frac{1}{x}+\frac{2}{xy}+\frac{1}{xy^2}+\frac{2}{xy^2z}+\frac{2}{xy^3z}+\frac{1}{xy^4z^2}$ && $4042 \colon {}$ & $\left(\frac{x^2+xyz+y^2z}{x^2yz},\frac{x}{y},\frac{y^3z}{x^3}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
3964 && $xyz^3+3xyz^2+3xyz+xy+xz^2+2xz+x+yz^2+2yz+y+4z+\frac{3}{z}+\frac{2}{y}+\frac{2}{yz}+\frac{2}{x}+\frac{2}{xz}+\frac{4}{xyz}+\frac{3}{xyz^2}+\frac{1}{xy^2z^2}+\frac{1}{x^2yz^2}+\frac{1}{x^2y^2z^3}$ && $4056 \colon {}$ & $\left(\frac{x^2}{x+y+z},\frac{x+y+z}{yz},\frac{y}{x}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 4024 && $\frac{x^3}{y^3z^2}+\frac{x^2}{yz}+\frac{3x^2}{y^2z}+\frac{3x^2}{y^3z^2}+x+\frac{3x}{y}+\frac{5x}{yz}+\frac{6x}{y^2z}+\frac{3x}{y^3z^2}+y+z+\frac{3}{y}+\frac{7}{yz}+\frac{3}{y^2z}+\frac{1}{y^3z^2}+\frac{3yz}{x}+\frac{4y}{x}+\frac{6}{x}+\frac{3}{xyz}+\frac{3y^2z}{x^2}+\frac{3y}{x^2}+\frac{y^3z}{x^3}$ && $4042 \colon {}$ & $\left(\frac{x+y^2z}{yz},x,\frac{y(x+y^2z)}{x^3}\right)$ \spacer \\* 
 &&  && $4056 \colon {}$ & $\left(x,y,\frac{x(x+1)}{yz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
4031 && $\frac{x^2}{yz}+x+\frac{3x}{z}+\frac{3x}{y}+\frac{3x}{yz}+y+\frac{3y}{z}+z+\frac{6}{z}+\frac{3z}{y}+\frac{6}{y}+\frac{3}{yz}+\frac{y^2}{xz}+\frac{3y}{x}+\frac{3y}{xz}+\frac{3z}{x}+\frac{6}{x}+\frac{3}{xz}+\frac{z^2}{xy}+\frac{3z}{xy}+\frac{3}{xy}+\frac{1}{xyz}$ && $4056 \colon {}$ & $\left(\frac{y(x+1)}{x},\frac{z(x+1)}{x},x\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 4042 && $\frac{x^4}{y^5z^3}+\frac{2x^3}{y^3z^2}+\frac{3x^3}{y^4z^2}+\frac{x^2}{yz}+\frac{5x^2}{y^2z}+\frac{3x^2}{y^3z}+\frac{3x^2}{y^3z^2}+x+\frac{4x}{y}+\frac{4x}{yz}+\frac{x}{y^2}+\frac{6x}{y^2z}+y+z+\frac{3}{y}+\frac{3}{yz}+\frac{3yz}{x}+\frac{3y}{x}+\frac{3}{x}+\frac{3y^2z}{x^2}+\frac{y}{x^2}+\frac{y^3z}{x^3}$ && $3927 \colon {}$ & $\left(\frac{y^2z+yz+1}{xy^2z},\frac{y^2z+yz+1}{xy^3z},y^3z\right)$ \spacer \\* 
 &&  && $4024 \colon {}$ & $\left(y,\frac{xy^2z}{x+y^2z},\frac{(x+y^2z)^2}{x^3yz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
4056 && $\frac{x^2}{yz}+x+\frac{3x}{z}+\frac{3x}{y}+\frac{x}{yz}+y+\frac{3y}{z}+z+\frac{3}{z}+\frac{3z}{y}+\frac{3}{y}+\frac{y^2}{xz}+\frac{4y}{x}+\frac{3y}{xz}+\frac{4z}{x}+\frac{6}{x}+\frac{z^2}{xy}+\frac{3z}{xy}+\frac{y^2}{x^2z}+\frac{3y}{x^2}+\frac{3z}{x^2}+\frac{z^2}{x^2y}$ && $3964 \colon {}$ & $\left(\frac{xyz^2+xyz+1}{yz},\frac{xyz^2+xyz+1}{y},\frac{xyz^2+xyz+1}{xy^2z^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $4024 \colon {}$ & $\left(x,y,\frac{x(x+1)}{yz}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $4031 \colon {}$ & $\left(z,\frac{xz}{z+1},\frac{yz}{z+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $4206 \colon {}$ & $\left(\frac{(yz^2+yz+1)^3}{xy^2z^3},\frac{(yz^2+yz+1)^3}{xy^2z^2},\frac{(yz^2+yz+1)^3}{xy^3z^4}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 4206 && $x+yz^3+3yz^2+3yz+y+4z+\frac{3}{z}+\frac{4}{yz}+\frac{3}{yz^2}+\frac{1}{y^2z^3}+\frac{yz^4}{x}+\frac{4yz^3}{x}+\frac{6yz^2}{x}+\frac{4yz}{x}+\frac{y}{x}+\frac{4z^2}{x}+\frac{12z}{x}+\frac{12}{x}+\frac{4}{xz}+\frac{6}{xy}+\frac{12}{xyz}+\frac{6}{xyz^2}+\frac{4}{xy^2z^2}+\frac{4}{xy^2z^3}+\frac{1}{xy^3z^4}$ && $4056 \colon {}$ & $\left(\frac{(x+y+z)^3}{x^2yz},\frac{x^2}{yz},\frac{y}{x}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
\label{table:161}
\end{longtable}
\end{center}
