\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 34.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:34a}}} \\ \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:34a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

83 && $xy+x+\frac{x}{z}+y+z+\frac{1}{y}+\frac{1}{x}$ && $190 \colon {}$ & $\left(\frac{1}{y},\frac{x^2yz}{xyz+xz+1},\frac{xyz+xz+1}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
181 && $x+y+z+\frac{y}{x}+\frac{y}{xz}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}$ && $309 \colon {}$ & $\left(x,\frac{xyz}{xz+z+1},\frac{y}{xz+z+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 190 && $x+y+z+\frac{z}{y}+\frac{1}{y}+\frac{1}{x}+\frac{2}{xy}+\frac{1}{x^2yz}$ && $83 \colon {}$ & $\left(\frac{xyz+x+yz}{z},\frac{1}{x},\frac{yz^2}{xyz+x+yz}\right)$ \spacer \\* 
 &&  && $309 \colon {}$ & $\left(\frac{xy+xz+1}{x},\frac{x^2y}{xy+xz+1},\frac{x^2z}{xy+xz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
309 && $x+y+z+\frac{z}{y}+\frac{2}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{x^2y}+\frac{1}{x^2yz}$ && $181 \colon {}$ & $\left(x,\frac{xy+xz+y}{x},\frac{y}{xz}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $190 \colon {}$ & $\left(\frac{xy+xz+1}{x},\frac{x^2y}{xy+xz+1},\frac{x^2z}{xy+xz+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1330 \colon {}$ & $\left(\frac{1+z(xy+1)^2}{x^2yz},\frac{x^3y^2z}{1+z(xy+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 944 && $x+y+z+\frac{z}{x}+\frac{2}{x}+\frac{2}{xy}+\frac{z}{x^2y}+\frac{1}{x^2y}+\frac{1}{x^2yz}+\frac{1}{x^3y^2}+\frac{1}{x^3y^2z}$ && $1330 \colon {}$ & $\left(x,y,\frac{1}{z(x^2y+xy+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1330 && $x+y+z+\frac{z}{x}+\frac{2}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{2z}{x^2y}+\frac{1}{x^2y}+\frac{1}{x^2yz}+\frac{z}{x^3y^2}+\frac{1}{x^3y^2}$ && $309 \colon {}$ & $\left(\frac{1+z(xy+1)^2}{x^2yz},\frac{x^3y^2z}{1+z(xy+1)^2},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $944 \colon {}$ & $\left(x,y,\frac{1}{z(x^2y+xy+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
