\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 123.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:123a}}} \\ \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:123a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

1586 && $x+\frac{2xz}{y}+\frac{xz^2}{y^2}+y+z+\frac{1}{z}+\frac{2z}{y}+\frac{2}{y}+\frac{z}{y^2}+\frac{2y}{x}+\frac{2y}{xz}+\frac{2}{x}+\frac{y^2}{x^2z}$ && $2009 \colon {}$ & $\left(\frac{x^2}{x+z},\frac{xy}{x+z},\frac{yz}{x+z}\right)$ \spacer \\* 
 &&  && $3080 \colon {}$ & $\left(\frac{(xz+1)(xz+(xz+y)^2)}{x^3z^2},y,\frac{x^2y^2z}{(xz+1)(xz+(xz+y)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2009 && $x+\frac{x}{yz}+y+z+\frac{2}{z}+\frac{3}{y}+\frac{2y}{x}+\frac{y}{xz}+\frac{2z}{x}+\frac{4}{x}+\frac{3z}{xy}+\frac{y}{x^2}+\frac{2z}{x^2}+\frac{z^2}{x^2y}$ && $1586 \colon {}$ & $\left(\frac{x(y+z)}{y},y+z,\frac{xz(y+z)}{y^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $3757 \colon {}$ & $\left(y,\frac{xy^2z}{y+z(y+1)^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2453 && $x+\frac{2xz}{y}+\frac{xz^2}{y^2}+y+z+\frac{1}{z}+\frac{2z}{y}+\frac{2}{y}+\frac{z}{y^2}+\frac{2y}{xz}+\frac{2}{x}+\frac{2}{xz}+\frac{2}{xy}+\frac{y}{x^2z^2}+\frac{1}{x^2z}$ && $2816 \colon {}$ & $\left(\frac{x^2}{x+z},\frac{x+z}{yz},\frac{x+z}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2816 && $x+\frac{x}{yz}+y+z+\frac{2}{z}+\frac{2}{y}+\frac{yz}{x}+\frac{2y}{x}+\frac{y}{xz}+\frac{2z}{x}+\frac{4}{x}+\frac{z}{xy}+\frac{2yz}{x^2}+\frac{2y}{x^2}+\frac{2z}{x^2}+\frac{yz}{x^3}$ && $2453 \colon {}$ & $\left(\frac{x(y+z)}{y},\frac{y+z}{yz},\frac{xz(y+z)}{y^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $3757 \colon {}$ & $\left(y,z,\frac{(y+z)^2}{xyz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 3080 && $x+\frac{2xz}{y}+\frac{xz^2}{y^2}+y+z+\frac{2z}{y}+\frac{2}{y}+\frac{2z}{y^2}+\frac{2y}{x}+\frac{2y}{xz}+\frac{3}{x}+\frac{2}{xy}+\frac{1}{xy^2}+\frac{y^2}{x^2z}+\frac{2y}{x^2z}+\frac{2}{x^2z}+\frac{y^2}{x^3z^2}$ && $1586 \colon {}$ & $\left(\frac{xz+1}{z},y,\frac{y^2}{x(xz+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
3081 && $x+\frac{2xz}{y}+\frac{xz^2}{y^2}+y+z+\frac{2z}{y}+\frac{2}{y}+\frac{2z}{y^2}+\frac{2y}{xz}+\frac{3}{x}+\frac{2}{xz}+\frac{4}{xy}+\frac{1}{xy^2}+\frac{y}{x^2z^2}+\frac{3}{x^2z}+\frac{2}{x^2yz}+\frac{1}{x^3z^2}$ && $3389 \colon {}$ & $\left(\frac{z(x+y)}{x},\frac{x^2}{x+y},\frac{x^2}{yz(x+y)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 3389 && $x+\frac{x}{yz}+y+z+\frac{2}{z}+\frac{2}{y}+\frac{2}{yz}+\frac{1}{y^2z}+\frac{yz}{x}+\frac{2y}{x}+\frac{y}{xz}+\frac{4}{x}+\frac{4}{xz}+\frac{3}{xyz}+\frac{2y}{x^2}+\frac{2y}{x^2z}+\frac{3}{x^2z}+\frac{y}{x^3z}$ && $3081 \colon {}$ & $\left(\frac{y(xz+1)}{xz},\frac{y(xz+1)}{x^2z^2},\frac{x^2z}{xz+1}\right)$ \spacer \\* 
 &&  && $3757 \colon {}$ & $\left(y,z,\frac{(y+z)^2(y+z(y+1)^2)}{xy^3z^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
3757 && $x+y+z+\frac{2}{z}+\frac{2z}{y}+\frac{4}{y}+\frac{2z}{y^2}+\frac{y}{xz}+\frac{3}{x}+\frac{2}{xz}+\frac{1}{xz^2}+\frac{3z}{xy}+\frac{6}{xy}+\frac{4}{xyz}+\frac{z^2}{xy^2}+\frac{6z}{xy^2}+\frac{6}{xy^2}+\frac{2z^2}{xy^3}+\frac{4z}{xy^3}+\frac{z^2}{xy^4}$ && $2009 \colon {}$ & $\left(\frac{y(x+z(x+1)^2)}{x^2z},x,z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $2816 \colon {}$ & $\left(\frac{(x+y)^2}{xyz},x,y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $3389 \colon {}$ & $\left(\frac{(x+y)^2(x+y(x+1)^2)}{x^3y^2z},x,y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
