\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 18.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:18a}}} \\ \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:18a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

35 && $x+\frac{2x}{yz}+\frac{x}{y^2z^2}+y+z+\frac{2}{yz}+\frac{1}{x}$ && $57 \colon {}$ & $\left(\frac{xyz}{yz+1},y,z\right)$ \spacer \\* 
 &&  && $270 \colon {}$ & $\left(\frac{(xyz+1)^2}{x^3y^2z^2},\frac{(xyz+1)^2}{x^2y^2z},y\right)$ \spacer \\* 
 &&  && $471 \colon {}$ & $\left(\frac{x^3y^2}{x^3y^2z+(xy+1)^2},\frac{x^3y^2z+(xy+1)^2}{x^3yz},\frac{x^4y^2z}{x^3y^2z+(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
57 && $x+\frac{x}{yz}+y+z+\frac{2}{yz}+\frac{1}{x}+\frac{1}{xyz}$ && $35 \colon {}$ & $\left(\frac{x(yz+1)}{yz},y,z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 75 && $xz+x+y+z+\frac{1}{yz}+\frac{1}{x}+\frac{1}{xyz}$ && $206 \colon {}$ & $\left(x(z+1),y,\frac{1}{yz}\right)$ \spacer \\* 
 &&  && $364 \colon {}$ & $\left(\frac{x}{y+z+1},\frac{y+z+1}{xyz},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
164 && $\frac{x^2}{yz}+x+\frac{x}{y}+\frac{2x}{yz}+y+z+\frac{1}{yz}+\frac{1}{x}$ && $206 \colon {}$ & $\left(x,y,\frac{x+1}{yz}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $270 \colon {}$ & $\left(\frac{x^2yz}{(xz+1)(xyz+1)},y,\frac{x^3yz^2}{(xz+1)(xyz+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 206 && $xz+x+\frac{x}{y}+\frac{x}{yz}+y+z+\frac{1}{yz}+\frac{1}{x}$ && $75 \colon {}$ & $\left(\frac{xyz}{yz+1},y,\frac{1}{yz}\right)$ \spacer \\* 
 &&  && $164 \colon {}$ & $\left(x,y,\frac{x+1}{yz}\right)$ \spacer \\* 
 &&  && $695 \colon {}$ & $\left(\frac{y+z}{xy},\frac{y+z}{xyz},\frac{xz}{y+z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
270 && $x+y+z+\frac{1}{x}+\frac{2}{xy}+\frac{2}{xyz}+\frac{2}{x^2yz}+\frac{1}{x^2y^2z}+\frac{1}{x^3y^2z^2}$ && $35 \colon {}$ & $\left(\frac{(x+yz)^2}{xy^2z^2},z,\frac{y^3z^2}{(x+yz)^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $164 \colon {}$ & $\left(\frac{(x+z)(x+yz)}{yz},y,\frac{yz^2}{x(x+z)(x+yz)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $339 \colon {}$ & $\left(x,\frac{xyz+1}{xy},\frac{xy^2z}{xyz+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1566 \colon {}$ & $\left(\frac{x^5y^2z^2}{xz+(x^2yz+1)^2},\frac{xz+(x^2yz+1)^2}{x^4yz^2},\frac{xz+(x^2yz+1)^2}{x^4y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 339 && $x+y+z+\frac{1}{x}+\frac{1}{xz}+\frac{1}{xy}+\frac{2}{xyz}+\frac{2}{x^2yz}+\frac{1}{x^3y^2z^2}$ && $270 \colon {}$ & $\left(x,\frac{xyz+1}{xy},\frac{xy^2z}{xyz+1}\right)$ \spacer \\* 
 &&  && $1041 \colon {}$ & $\left(\frac{x}{yz+1},\frac{yz+1}{xy},\frac{yz+1}{xz}\right)$ \spacer \\* 
 &&  && $1702 \colon {}$ & $\left(\frac{yz+y+z}{xyz},\frac{xz}{yz+y+z},\frac{xy}{yz+y+z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
364 && $x+y+z+\frac{y}{x}+\frac{z}{x}+\frac{1}{x}+\frac{1}{xz}+\frac{1}{xy}+\frac{1}{xyz}$ && $75 \colon {}$ & $\left(\frac{xyz^2+xyz+1}{yz},\frac{1}{xyz},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 471 && $x+y+z+\frac{y}{xz}+\frac{1}{x}+\frac{2}{xy}+\frac{2}{x^2z}+\frac{2}{x^2y}+\frac{1}{x^3yz}+\frac{1}{x^3y^2}$ && $35 \colon {}$ & $\left(\frac{y^2z^3+x(yz+1)^2}{y^2z^2},\frac{y^3z^3}{y^2z^3+x(yz+1)^2},\frac{y^2z^3}{x(y^2z^3+x(yz+1)^2)}\right)$ \spacer \\* 
 &&  && $536 \colon {}$ & $\left(x,y,\frac{xy+1}{x^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
536 && $x+y+z+\frac{y}{xz}+\frac{1}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{x^2z}+\frac{2}{x^2y}+\frac{1}{x^3y^2}$ && $471 \colon {}$ & $\left(x,y,\frac{xy+1}{x^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 695 && $x+y+z+\frac{z}{y}+\frac{y}{x}+\frac{z}{x}+\frac{1}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{1}{xy}$ && $206 \colon {}$ & $\left(\frac{xz+1}{x},\frac{1}{yz},\frac{x}{y}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1041 && $xyz+x+2yz+y+z+\frac{yz}{x}+\frac{y}{x}+\frac{z}{x}+\frac{1}{x}+\frac{1}{xz}+\frac{1}{xy}$ && $339 \colon {}$ & $\left(\frac{x^2yz+1}{xyz},\frac{1}{xz},\frac{1}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1566 && $x+y+z+\frac{1}{x}+\frac{2}{xy}+\frac{2}{x^2z}+\frac{2}{x^2y}+\frac{2}{x^2yz}+\frac{3}{x^3yz}+\frac{1}{x^3y^2}+\frac{1}{x^4yz^2}+\frac{2}{x^4y^2z}+\frac{1}{x^5y^2z^2}$ && $270 \colon {}$ & $\left(\frac{xz+(x^2yz+1)^2}{x^3y^2z^2},\frac{x^4y^3z^2}{xz+(x^2yz+1)^2},\frac{x^4y^2z^3}{xz+(x^2yz+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1702 && $x+2yz+y+z+\frac{y^2z^2}{x}+\frac{y^2z}{x}+\frac{yz^2}{x}+\frac{2yz}{x}+\frac{2y}{x}+\frac{2z}{x}+\frac{1}{x}+\frac{1}{xz}+\frac{1}{xy}$ && $339 \colon {}$ & $\left(\frac{xy+xz+1}{x},\frac{1}{xy},\frac{1}{xz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
