\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 54.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:54a}}} \\ \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:54a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

67 && $xy+x+y+z+\frac{1}{y}+\frac{2}{x}+\frac{1}{x^2z}$ && $217 \colon {}$ & $\left(\frac{x+y}{xy},z,\frac{x^2}{x+y}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
217 && $x+y+z+\frac{1}{z}+\frac{z}{y}+\frac{1}{y}+\frac{z}{x}+\frac{1}{x}$ && $67 \colon {}$ & $\left(\frac{xz+1}{x},\frac{xz+1}{x^2z},y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $291 \colon {}$ & $\left(\frac{x^2z}{xz+y+1},\frac{xz+y+1}{x},y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $346 \colon {}$ & $\left(\frac{(y+1)(xz+1)}{x^2z},\frac{(y+1)(xz+1)}{x},y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $395 \colon {}$ & $\left(\frac{1}{y},\frac{z+1}{xz},\frac{z+1}{x}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 291 && $x+y+z+\frac{1}{y}+\frac{2y}{x}+\frac{2}{x}+\frac{y^2}{x^2z}+\frac{2y}{x^2z}+\frac{1}{x^2z}$ && $217 \colon {}$ & $\left(\frac{xy+z+1}{y},z,\frac{xy^2}{xy+z+1}\right)$ \spacer \\* 
 &&  && $1653 \colon {}$ & $\left(\frac{x^4y^2z}{x^3y^2z+x^2yz+1},\frac{x^3yz}{x^3y^2z+x^2yz+1},\frac{x^3y^2z+x^2yz+1}{x^3y^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
313 && $x+y+z+\frac{z}{y}+\frac{y}{x}+\frac{3}{x}+\frac{2}{xy}+\frac{1}{x^2z}+\frac{1}{x^2yz}$ && $693 \colon {}$ & $\left(x,y+z,\frac{z}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 346 && $x+yz+y+z+\frac{1}{y}+\frac{2y}{x}+\frac{2}{x}+\frac{y}{x^2z}+\frac{1}{x^2z}$ && $217 \colon {}$ & $\left(\frac{(z+1)(x+y)}{xy},z,\frac{y^2}{(z+1)(x+y)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
395 && $x+y+z+\frac{1}{y}+\frac{yz}{x}+\frac{y}{x}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xz}$ && $217 \colon {}$ & $\left(\frac{y+z}{yz},\frac{1}{x},\frac{z}{y}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $945 \colon {}$ & $\left(x,\frac{x^2yz+x+1}{x^2y^2z},\frac{xy}{x^2yz+x+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1040 \colon {}$ & $\left(\frac{y+z(y+1)^2}{xyz},\frac{y+z(y+1)^2}{xy},y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 693 && $x+y+z+\frac{y}{x}+\frac{y}{xz}+\frac{z}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{1}{xy}$ && $313 \colon {}$ & $\left(x,\frac{y}{xz+1},\frac{xyz}{xz+1}\right)$ \spacer \\* 
 &&  && $998 \colon {}$ & $\left(x,\frac{x^2yz}{(x+1)(xz+1)},\frac{xy}{(x+1)(xz+1)}\right)$ \spacer \\* 
 &&  && $1040 \colon {}$ & $\left(x,y,\frac{y}{z(xy+y+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
817 && $x+y+z+\frac{1}{y}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{x^2y}+\frac{2}{x^2yz}+\frac{2}{x^2y^2z}+\frac{2}{x^3y^2z}+\frac{1}{x^4y^3z^2}$ && $945 \colon {}$ & $\left(\frac{x^2y^2z+xyz+1}{x^2yz},\frac{x^3y^2z}{x^2y^2z+xyz+1},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 945 && $x+y+z+\frac{1}{y}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{xy^2z}+\frac{1}{x^2y}+\frac{1}{x^2yz}+\frac{2}{x^2y^2z}+\frac{1}{x^3y^2z}$ && $395 \colon {}$ & $\left(x,\frac{xyz+x+yz}{xy},\frac{1}{z(xyz+x+yz)}\right)$ \spacer \\* 
 &&  && $817 \colon {}$ & $\left(\frac{x^2y^2z+xyz+1}{x^2yz},\frac{x^3y^2z}{x^2y^2z+xyz+1},z\right)$ \spacer \\* 
 &&  && $1565 \colon {}$ & $\left(\frac{(xy+1)(x^2y^2z+xyz+1)}{x^3y^2z},\frac{x^4y^3z}{(xy+1)(x^2y^2z+xyz+1)},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
998 && $x+y+z+\frac{z}{y}+\frac{3}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{x^2z}+\frac{2}{x^2y}+\frac{1}{x^2yz}+\frac{1}{x^3yz}$ && $693 \colon {}$ & $\left(x,\frac{(y+z)(x+1)}{x},\frac{y}{xz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1040 && $x+yz+y+z+\frac{yz}{x}+\frac{y}{x}+\frac{2z}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{1}{xy}$ && $395 \colon {}$ & $\left(\frac{xz+y(z+1)^2}{xyz},z,\frac{y}{x}\right)$ \spacer \\* 
 &&  && $693 \colon {}$ & $\left(x,y,\frac{y}{z(xy+y+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1565 && $x+y+z+\frac{3}{x}+\frac{2}{xy}+\frac{3}{x^2y}+\frac{2}{x^2yz}+\frac{2}{x^2y^2z}+\frac{1}{x^3y^2}+\frac{4}{x^3y^2z}+\frac{2}{x^4y^3z}+\frac{1}{x^4y^3z^2}+\frac{1}{x^5y^4z^2}$ && $945 \colon {}$ & $\left(\frac{(xy+1)(x^2y^2z+xyz+1)}{x^3y^2z},\frac{x^4y^3z}{(xy+1)(x^2y^2z+xyz+1)},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1653 && $x+y+z+\frac{3}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{x^2z}+\frac{2}{x^2y}+\frac{2}{x^2yz}+\frac{2}{x^3yz}+\frac{1}{x^3y^2}+\frac{2}{x^4y^2z}+\frac{1}{x^5y^2z^2}$ && $291 \colon {}$ & $\left(\frac{x^3z+x^2yz+y^2}{x^2z},\frac{x^3z}{y(x^3z+x^2yz+y^2)},\frac{x^3z^2}{x^3z+x^2yz+y^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
