\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 40.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:40a}}} \\ \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:40a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

162 && $x+y+z+\frac{1}{yz}+\frac{y}{x}+\frac{2}{x}+\frac{1}{xy}+\frac{1}{xyz}$ && $325 \colon {}$ & $\left(x,\frac{x+z+1}{xyz},z\right)$ \spacer \\* 
 &&  && $386 \colon {}$ & $\left(x,\frac{xyz+1}{xy},\frac{xy^2z}{xyz+1}\right)$ \spacer \\* 
 &&  && $555 \colon {}$ & $\left(\frac{xyz+(y+1)^2}{xy},y,\frac{x^2yz}{xyz+(y+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
325 && $x+y+z+\frac{1}{yz}+\frac{2}{x}+\frac{1}{xy}+\frac{2}{xyz}+\frac{1}{x^2y}+\frac{1}{x^2yz}$ && $162 \colon {}$ & $\left(x,\frac{x+z+1}{xyz},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $946 \colon {}$ & $\left(\frac{1+y(xz+1)^2}{x^2yz},\frac{x^3yz^2}{1+y(xz+1)^2},y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 386 && $x+y+z+\frac{1}{yz}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xy}+\frac{1}{xyz}+\frac{1}{x^2y}$ && $162 \colon {}$ & $\left(x,\frac{y(x+1)}{x},\frac{1}{yz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
555 && $x+y+z+\frac{y}{x}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{xyz}+\frac{1}{x^2z}+\frac{2}{x^2yz}+\frac{1}{x^2y^2z}$ && $162 \colon {}$ & $\left(\frac{xyz+(y+1)^2}{xy},y,\frac{x^2yz}{xyz+(y+1)^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $999 \colon {}$ & $\left(x,\frac{xyz+1}{xz},\frac{xyz^2}{xyz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 946 && $x+y+z+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}+\frac{2}{xyz}+\frac{1}{x^2z}+\frac{3}{x^2yz}+\frac{1}{x^3yz^2}+\frac{1}{x^3y^2z^2}$ && $325 \colon {}$ & $\left(\frac{1+z(xy+1)^2}{x^2yz},z,\frac{x^3y^2z}{1+z(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
999 && $x+y+z+\frac{y}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}+\frac{1}{xyz}+\frac{2}{x^2z}+\frac{2}{x^2yz}+\frac{1}{x^3yz^2}$ && $555 \colon {}$ & $\left(x,\frac{xy^2z}{xyz+1},\frac{xyz+1}{xy}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1841 \colon {}$ & $\left(x,\frac{z(x^2y+(xy+1)^2)}{x^2y^2},y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1841 && $x+y+z+\frac{z}{y}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{3z}{xy}+\frac{1}{xy}+\frac{2z}{x^2y}+\frac{2}{x^2y}+\frac{z}{x^2y^2}+\frac{z}{x^3y^2}$ && $999 \colon {}$ & $\left(x,z,\frac{x^2yz^2}{x^2z+(xz+1)^2}\right)$ \spacer \\* 
 &&  && $2538 \colon {}$ & $\left(\frac{(xy+z)(xyz+(z+1)^2)}{x^2yz},\frac{x^2y}{(xy+z)(xyz+(z+1)^2)},\frac{1}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2538 && $x+y+z+\frac{3z}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{z^2}{xy}+\frac{3z}{xy}+\frac{1}{xy}+\frac{3z^2}{x^2y}+\frac{4z}{x^2y}+\frac{2}{x^2y}+\frac{z^3}{x^3y^2}+\frac{2z^2}{x^3y^2}+\frac{z}{x^3y^2}$ && $1841 \colon {}$ & $\left(\frac{(xy+z)(xy+z(xy+1)^2)}{x^3y^2z},\frac{x^3y^2}{(xy+z)(xy+z(xy+1)^2)},\frac{1}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
