\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 133.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:133a}}} \\ \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:133a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

509 && $x+\frac{x}{z}+\frac{2x}{y}+\frac{x}{y^2}+y+z+\frac{3}{y}+\frac{2y}{x}+\frac{3}{x}+\frac{y}{x^2}$ && $894 \colon {}$ & $\left(x(y+1),xy(y+1),\frac{x(y+1)}{z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
894 && $xy^2+2xy+\frac{xy}{z}+x+\frac{x}{z}+2y+z+\frac{2}{y}+\frac{1}{x}+\frac{2}{xy}+\frac{1}{xy^2}$ && $509 \colon {}$ & $\left(\frac{x^2}{x+y},\frac{y}{x},\frac{x}{z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1305 \colon {}$ & $\left(\frac{x+y}{y^2},\frac{y}{x},\frac{x+y}{y^2z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1368 \colon {}$ & $\left(\frac{x+y}{y^2},\frac{xy}{x+y},\frac{x}{yz}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1579 \colon {}$ & $\left(\frac{(xyz+1)^2}{x^3y^2z^2},xyz,y\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1609 \colon {}$ & $\left(\frac{(yz+1)^2}{x},\frac{xyz}{(yz+1)^2},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $2466 \colon {}$ & $\left(\frac{xyz+(xz+1)^2}{x},\frac{x^2z}{xyz+(xz+1)^2},\frac{xyz+(xz+1)^2}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1232 && $x+\frac{2x}{y}+\frac{x}{y^2}+\frac{x}{y^2z}+y+z+\frac{3}{y}+\frac{2}{yz}+\frac{2y}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{y}{x^2}$ && $1305 \colon {}$ & $\left(x,y,\frac{x+y}{y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1305 && $x+\frac{2x}{y}+\frac{x}{y^2}+\frac{x}{y^2z}+y+z+\frac{3}{y}+\frac{1}{yz}+\frac{yz}{x}+\frac{2y}{x}+\frac{3}{x}+\frac{y}{x^2}$ && $894 \colon {}$ & $\left(\frac{y+1}{xy^2},\frac{y+1}{xy},\frac{z}{y+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1232 \colon {}$ & $\left(x,y,\frac{x+y}{y^2z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1665 \colon {}$ & $\left(\frac{xy}{y+z},\frac{xz}{y+z},\frac{y+z}{xz^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1368 && $x+\frac{2x}{y}+\frac{x}{yz}+\frac{x}{y^2}+y+z+\frac{z}{y}+\frac{3}{y}+\frac{2y}{x}+\frac{z}{x}+\frac{3}{x}+\frac{y}{x^2}$ && $894 \colon {}$ & $\left(y(xy+1),\frac{xy+1}{x},\frac{xy}{z}\right)$ \spacer \\* 
 &&  && $2905 \colon {}$ & $\left(\frac{z^2+(y+z)^3}{xy^2z},\frac{z^2+(y+z)^3}{xyz^2},\frac{z^2+(y+z)^3}{xyz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1579 && $xy^2z^2+2xyz+x+4yz+y+z+\frac{6}{x}+\frac{3}{xy}+\frac{2}{xyz}+\frac{4}{x^2yz}+\frac{3}{x^2y^2z}+\frac{1}{x^3y^2z^2}+\frac{1}{x^3y^3z^2}$ && $894 \colon {}$ & $\left(\frac{(y+1)^2}{xy^2},z,\frac{xy^3}{z(y+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1609 && $x+2yz+y+z+\frac{2}{yz}+\frac{y^2z^2}{x}+\frac{y^2z}{x}+\frac{4yz}{x}+\frac{2y}{x}+\frac{6}{x}+\frac{1}{xz}+\frac{4}{xyz}+\frac{1}{xy^2z^2}$ && $894 \colon {}$ & $\left(\frac{(xy+1)^2}{x},\frac{xy}{z},z\right)$ \spacer \\* 
 &&  && $3147 \colon {}$ & $\left(\frac{x^2z^2+y(xz+1)^4}{x^3yz^2},\frac{x^2z^2+y(xz+1)^4}{x^2z},\frac{x^3z^2}{x^2z^2+y(xz+1)^4}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1665 && $x+y+\frac{2y}{z}+z+\frac{2z}{y}+\frac{y^2}{xz^2}+\frac{4y}{xz}+\frac{y}{xz^2}+\frac{6}{x}+\frac{2}{xz}+\frac{4z}{xy}+\frac{1}{xy}+\frac{z^2}{xy^2}$ && $1305 \colon {}$ & $\left(x+y,\frac{x}{y^2z},\frac{1}{yz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2466 && $xz^2+2xz+x+\frac{xz^2}{y}+yz+y+5z+\frac{2z}{y}+\frac{2y}{x}+\frac{6}{x}+\frac{2}{xz}+\frac{1}{xy}+\frac{y}{x^2z}+\frac{4}{x^2z}+\frac{1}{x^3z^2}$ && $894 \colon {}$ & $\left(\frac{x^2y+z(xy+1)^2}{xz},\frac{x}{z},\frac{x^2yz}{x^2y+z(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2905 && $x+y+\frac{2y}{z}+z+\frac{2z}{y}+\frac{y^2}{xz}+\frac{y^2}{xz^2}+\frac{3y}{x}+\frac{4y}{xz}+\frac{3z}{x}+\frac{6}{x}+\frac{z^2}{xy}+\frac{5z}{xy}+\frac{1}{xy}+\frac{z^2}{xy^2}+\frac{z}{xy^2}$ && $1368 \colon {}$ & $\left(\frac{x^3y+z(x+y)^3}{x^2y^2z},\frac{z}{x},\frac{z}{y}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 3147 && $x^2yz^3+x^2yz^2+4xyz^2+2xyz+xz^2+2xz+x+6yz+y+5z+\frac{4y}{x}+\frac{6}{x}+\frac{2}{xz}+\frac{1}{xy}+\frac{y}{x^2z}+\frac{4}{x^2z}+\frac{1}{x^3z^2}$ && $1609 \colon {}$ & $\left(\frac{xy^2z^3+(yz+1)^4}{xy^2z^2},\frac{1}{xz},\frac{xy^3z^3}{xy^2z^3+(yz+1)^4}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
