\begin{center}
\footnotesize
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\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 56.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:56a}}} \\ \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:56a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

192 && $x+y+z+\frac{1}{y}+\frac{y}{x}+\frac{y}{xz}+\frac{2}{x}+\frac{1}{xy}$ && $347 \colon {}$ & $\left(x,\frac{xy}{xyz+x+1},\frac{1}{xyz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
347 && $x+y+z+\frac{1}{y}+\frac{z}{x}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{xyz}+\frac{1}{x^2y}$ && $192 \colon {}$ & $\left(x,\frac{y(xz+z+1)}{xz},\frac{1}{y(xz+z+1)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $586 \colon {}$ & $\left(\frac{xyz+(xy+1)^2}{x^2y},\frac{x^3y^2}{xyz+(xy+1)^2},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1331 \colon {}$ & $\left(\frac{y+z(xy+1)^2}{x^2yz},\frac{x^3y^2z}{y+z(xy+1)^2},\frac{y+z(xy+1)^2}{x^2y^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 586 && $x+y+z+\frac{z}{x}+\frac{3}{x}+\frac{2}{xy}+\frac{1}{xyz}+\frac{z}{x^2y}+\frac{3}{x^2y}+\frac{1}{x^3y^2}$ && $347 \colon {}$ & $\left(\frac{xyz+(xy+1)^2}{x^2y},\frac{x^3y^2}{xyz+(xy+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1331 && $x+y+z+\frac{z}{y}+\frac{3}{x}+\frac{2z}{xy}+\frac{2}{xy}+\frac{1}{x^2z}+\frac{4}{x^2y}+\frac{z}{x^2y^2}+\frac{1}{x^3yz}+\frac{1}{x^3y^2}$ && $347 \colon {}$ & $\left(\frac{x+z(xy+1)^2}{x^2yz},\frac{x^3y^2z}{x+z(xy+1)^2},\frac{x^2y^2z^2}{x+z(xy+1)^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1731 \colon {}$ & $\left(x,y,\frac{y^2}{z(x^2y+(xy+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1731 && $x+y+z+\frac{z}{y}+\frac{3}{x}+\frac{3z}{xy}+\frac{2}{xy}+\frac{z}{xy^2}+\frac{1}{x^2z}+\frac{4}{x^2y}+\frac{3z}{x^2y^2}+\frac{1}{x^3y^2}+\frac{z}{x^3y^3}$ && $1331 \colon {}$ & $\left(x,y,\frac{y^2}{z(x^2y+(xy+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
