\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 49.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:49a}}} \\ \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:49a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

173 && $x+y+z+\frac{1}{y}+\frac{y}{x}+\frac{2}{x}+\frac{1}{xyz}+\frac{1}{x^2z}$ && $184 \colon {}$ & $\left(\frac{xz+yz+y}{xyz},\frac{xz+yz+y}{xy},\frac{x^2z}{xz+yz+y}\right)$ \spacer \\* 
 &&  && $382 \colon {}$ & $\left(x,\frac{y(xz+1)}{xz},z\right)$ \spacer \\* 
 &&  && $612 \colon {}$ & $\left(x,\frac{x^2y^2z}{x^2yz+xyz+1},\frac{x^2yz+xyz+1}{x^2y}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
184 && $x+y+z+\frac{z}{y}+\frac{1}{y}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xz}$ && $173 \colon {}$ & $\left(\frac{xyz+x+y}{xy},\frac{xyz+x+y}{x^2yz},\frac{y}{x}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $214 \colon {}$ & $\left(\frac{yz+1}{z},x,yz\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $488 \colon {}$ & $\left(\frac{xyz+(y+1)^2}{xy},\frac{x^2yz}{xyz+(y+1)^2},y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $558 \colon {}$ & $\left(\frac{(y+1)(xyz+y+1)}{xy},\frac{(y+1)(xyz+y+1)}{x^2yz},y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $647 \colon {}$ & $\left(x,\frac{xy}{xz+x+z},\frac{xyz}{xz+x+z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 214 && $x+yz+y+z+\frac{1}{z}+\frac{1}{y}+\frac{yz}{x}+\frac{1}{x}$ && $184 \colon {}$ & $\left(y,\frac{xz}{z+1},\frac{z+1}{x}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
382 && $x+y+z+\frac{1}{y}+\frac{y}{x}+\frac{y}{xz}+\frac{2}{x}+\frac{y}{x^2z}+\frac{1}{x^2z}$ && $173 \colon {}$ & $\left(x,\frac{xyz}{xz+1},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 488 && $x+y+z+\frac{2y}{x}+\frac{3}{x}+\frac{1}{xy}+\frac{y^2}{x^2z}+\frac{3y}{x^2z}+\frac{3}{x^2z}+\frac{1}{x^2yz}$ && $184 \colon {}$ & $\left(\frac{xyz+(z+1)^2}{xz},z,\frac{x^2yz}{xyz+(z+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
558 && $x+yz+y+z+\frac{2y}{x}+\frac{3}{x}+\frac{1}{xy}+\frac{y}{x^2z}+\frac{2}{x^2z}+\frac{1}{x^2yz}$ && $184 \colon {}$ & $\left(\frac{(z+1)(xz+yz+y)}{xyz},z,\frac{x^2z}{(z+1)(xz+yz+y)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $897 \colon {}$ & $\left(x,\frac{xz}{y(x^2z+(xz+1)^2)},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 612 && $x+y+z+\frac{1}{y}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xy}+\frac{1}{xyz}+\frac{1}{x^2y}+\frac{1}{x^2y^2z}$ && $173 \colon {}$ & $\left(x,\frac{x^2yz+xyz+1}{x^2z},\frac{x^2yz^2}{x^2yz+xyz+1}\right)$ \spacer \\* 
 &&  && $947 \colon {}$ & $\left(\frac{xyz+(xy+1)^2}{x^2y},\frac{x^3y^2}{xyz+(xy+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
647 && $x+y+z+\frac{z}{y}+\frac{1}{y}+\frac{2}{x}+\frac{z}{xy}+\frac{1}{xy}+\frac{1}{xyz}+\frac{1}{x^2y}$ && $184 \colon {}$ & $\left(x,\frac{xy+xz+z}{x},\frac{z}{y}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1026 \colon {}$ & $\left(\frac{xy+1}{y},\frac{xy^2}{xy+1},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1333 \colon {}$ & $\left(\frac{(xy+1)^2}{x^2y},\frac{x^3y^2}{(xy+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 897 && $x+yz+y+z+\frac{3y}{x}+\frac{y}{xz}+\frac{3}{x}+\frac{1}{xy}+\frac{3y}{x^2z}+\frac{2}{x^2z}+\frac{y}{x^3z^2}$ && $558 \colon {}$ & $\left(x,\frac{xz}{y(x^2z+(xz+1)^2)},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
947 && $x+y+z+\frac{z}{x}+\frac{3}{x}+\frac{1}{xy}+\frac{1}{xyz}+\frac{z}{x^2y}+\frac{3}{x^2y}+\frac{1}{x^2y^2z}+\frac{1}{x^3y^2}$ && $612 \colon {}$ & $\left(\frac{xyz+(xy+1)^2}{x^2y},\frac{x^3y^2}{xyz+(xy+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1026 && $x+y+z+\frac{z}{y}+\frac{2}{y}+\frac{1}{x}+\frac{z}{xy}+\frac{1}{xy}+\frac{1}{xyz}+\frac{z}{xy^2}+\frac{1}{xy^2}$ && $647 \colon {}$ & $\left(\frac{x^2y}{xy+1},\frac{xy+1}{x},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1333 && $x+y+z+\frac{z}{x}+\frac{3}{x}+\frac{z}{xy}+\frac{1}{xy}+\frac{1}{xyz}+\frac{2z}{x^2y}+\frac{3}{x^2y}+\frac{z}{x^3y^2}+\frac{1}{x^3y^2}$ && $647 \colon {}$ & $\left(\frac{(xy+1)^2}{x^2y},\frac{x^3y^2}{(xy+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
