\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 80.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:80a}}} \\ \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:80a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

335 && $x+\frac{x}{y}+y+z+\frac{2}{y}+\frac{2}{x}+\frac{1}{xy}+\frac{1}{x^2z}+\frac{1}{x^2yz}$ && $875 \colon {}$ & $\left(\frac{(xz+1)(xyz+y+1)}{x^2yz},y,\frac{x^3yz^2}{(xz+1)(xyz+y+1)}\right)$ \spacer \\* 
 &&  && $1328 \colon {}$ & $\left(y,\frac{x^2y^2z}{xy^2z+1},\frac{xy^2z+1}{xy^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
349 && $x+y+z+\frac{1}{z}+\frac{1}{y}+\frac{z}{x}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{x^2y}$ && $590 \colon {}$ & $\left(\frac{xyz+(xz+1)^2}{x^2z},\frac{x^3z^2}{xyz+(xz+1)^2},y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $811 \colon {}$ & $\left(y,\frac{xy^2z+(y+1)^2}{xy^2},\frac{xy^2z+(y+1)^2}{x^2y^2z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1338 \colon {}$ & $\left(\frac{xz+y(xz+1)^2}{x^2yz},\frac{x^3yz^2}{xz+y(xz+1)^2},\frac{xz+y(xz+1)^2}{x^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 400 && $x+y+z+\frac{1}{z}+\frac{1}{y}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}$ && $875 \colon {}$ & $\left(y,\frac{x^2yz}{xyz+y+1},\frac{xy}{xyz+y+1}\right)$ \spacer \\* 
 &&  && $1060 \colon {}$ & $\left(\frac{xyz+(y+1)^2}{xy},\frac{x^2yz}{xyz+(y+1)^2},y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
590 && $x+y+z+\frac{1}{y}+\frac{y}{x}+\frac{3}{x}+\frac{2}{xz}+\frac{y}{x^2z}+\frac{3}{x^2z}+\frac{1}{x^3z^2}$ && $349 \colon {}$ & $\left(\frac{xyz+(xy+1)^2}{x^2y},z,\frac{x^3y^2}{xyz+(xy+1)^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1734 \colon {}$ & $\left(\frac{x^2z^2+y(xz+1)^3}{x^3yz^2},\frac{x^2z^2+y(xz+1)^3}{x^3z^2},\frac{x^4yz^3}{x^2z^2+y(xz+1)^3}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 811 && $x+y+z+\frac{2}{y}+\frac{2}{x}+\frac{3}{xy}+\frac{1}{xy^2}+\frac{1}{x^2z}+\frac{3}{x^2yz}+\frac{3}{x^2y^2z}+\frac{1}{x^2y^3z}$ && $349 \colon {}$ & $\left(\frac{x^2y+z(x+1)^2}{x^2yz},x,\frac{x^2y^2}{x^2y+z(x+1)^2}\right)$ \spacer \\* 
 &&  && $875 \colon {}$ & $\left(x,y,\frac{(y+1)^2}{x^2y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
875 && $x+y+z+\frac{z}{y}+\frac{2}{y}+\frac{2}{x}+\frac{3}{xy}+\frac{1}{xy^2}+\frac{1}{x^2z}+\frac{2}{x^2yz}+\frac{1}{x^2y^2z}$ && $335 \colon {}$ & $\left(\frac{(xz+1)(xyz+y+1)}{x^2yz},y,\frac{x^3yz^2}{(xz+1)(xyz+y+1)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $400 \colon {}$ & $\left(\frac{xy+xz+z}{x},x,\frac{xy}{z(xy+xz+z)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $811 \colon {}$ & $\left(x,y,\frac{(y+1)^2}{x^2y^2z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $2438 \colon {}$ & $\left(\frac{x^4y^2z}{1+xz(xy+1)^2},\frac{1+xz(xy+1)^2}{x^3yz},\frac{1+xz(xy+1)^2}{x^3y^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1060 && $x+y+z+\frac{1}{y}+\frac{y}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{1}{xy}+\frac{y}{x^2z}+\frac{2}{x^2z}+\frac{1}{x^2yz}$ && $400 \colon {}$ & $\left(\frac{xyz+(z+1)^2}{xz},z,\frac{x^2yz}{xyz+(z+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1328 && $x+y+z+\frac{2}{y}+\frac{y}{x}+\frac{2}{x}+\frac{1}{xy}+\frac{1}{xy^2}+\frac{1}{xy^2z}+\frac{1}{x^2yz}+\frac{2}{x^2y^2z}+\frac{1}{x^2y^3z}$ && $335 \colon {}$ & $\left(\frac{x^2yz+1}{x^2z},x,\frac{x^2yz^2}{x^2yz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1338 && $x+yz+y+z+\frac{2y}{x}+\frac{4}{x}+\frac{2}{xz}+\frac{1}{xy}+\frac{y}{x^2z}+\frac{3}{x^2z}+\frac{1}{x^2yz}+\frac{1}{x^3z^2}$ && $349 \colon {}$ & $\left(\frac{x^2y+z(xy+1)^2}{x^2yz},\frac{z}{x},\frac{x^3y^2z}{x^2y+z(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1734 && $x+yz+y+z+\frac{3y}{x}+\frac{y}{xz}+\frac{4}{x}+\frac{2}{xz}+\frac{1}{xy}+\frac{3y}{x^2z}+\frac{3}{x^2z}+\frac{y}{x^3z^2}+\frac{1}{x^3z^2}$ && $590 \colon {}$ & $\left(\frac{x^3z^2+y(xz+1)^3}{x^3yz^2},\frac{y}{x},\frac{x^4yz^3}{x^3z^2+y(xz+1)^3}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2438 && $x+y+z+\frac{z}{y}+\frac{4}{x}+\frac{2z}{xy}+\frac{3}{xy}+\frac{1}{x^2z}+\frac{5}{x^2y}+\frac{2}{x^2yz}+\frac{z}{x^2y^2}+\frac{3}{x^3yz}+\frac{3}{x^3y^2}+\frac{3}{x^4y^2z}+\frac{1}{x^5y^2z^2}$ && $875 \colon {}$ & $\left(\frac{1+xz(xy+1)^2}{x^2y^2z},\frac{x^3y^3z}{1+xz(xy+1)^2},\frac{x^3y^2z^2}{1+xz(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
