\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 109.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:109a}}} \\ \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:109a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

911 && $x+\frac{x}{z}+\frac{x}{yz}+y+\frac{y}{z}+z+\frac{2}{z}+\frac{2}{y}+\frac{y}{xz}+\frac{2}{x}+\frac{z}{xy}$ && $1573 \colon {}$ & $\left(\frac{(y+z+1)^2}{xy},\frac{(y+z+1)^2}{xz},\frac{(y+z+1)^2}{xyz}\right)$ \spacer \\* 
 &&  && $1871 \colon {}$ & $\left(\frac{x+y}{yz},x,y\right)$ \spacer \\* 
 &&  && $2557 \colon {}$ & $\left(y,z,\frac{xyz}{yz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1274 && $x+\frac{x}{y}+y+z+\frac{1}{z}+\frac{2}{y}+\frac{1}{yz}+\frac{1}{y^2z}+\frac{yz}{x}+\frac{3}{x}+\frac{3}{xyz}+\frac{1}{xy^2z^2}$ && $1871 \colon {}$ & $\left(\frac{x(yz+1)}{yz},y,z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1386 && $x+\frac{x}{yz}+yz+y+z+\frac{1}{z}+\frac{2}{y}+\frac{yz}{x}+\frac{z}{x}+\frac{2}{x}+\frac{z}{xy}+\frac{z}{x^2}$ && $1871 \colon {}$ & $\left(x,\frac{yz+1}{y},\frac{x}{yz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1573 && $x+y+z+\frac{y^2}{xz}+\frac{3y}{x}+\frac{3y}{xz}+\frac{3z}{x}+\frac{6}{x}+\frac{3}{xz}+\frac{z^2}{xy}+\frac{3z}{xy}+\frac{3}{xy}+\frac{1}{xyz}$ && $911 \colon {}$ & $\left(\frac{(x+y+z)^2}{xyz},\frac{y}{z},\frac{x}{z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1599 && $x+\frac{x}{yz}+y+z+\frac{2}{z}+\frac{2}{y}+\frac{2}{yz}+\frac{y}{xz}+\frac{2}{x}+\frac{2}{xz}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{xyz}$ && $2272 \colon {}$ & $\left(z,\frac{xz+x+yz}{xyz},\frac{yz}{x}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1698 && $x+\frac{x}{y}+\frac{x}{y^2z}+y+z+\frac{3}{y}+\frac{1}{yz}+\frac{3}{y^2z}+\frac{1}{y^3z^2}+\frac{yz}{x}+\frac{3}{x}+\frac{3}{xyz}+\frac{1}{xy^2z^2}$ && $1871 \colon {}$ & $\left(\frac{x(yz+1)}{yz},\frac{yz+1}{z},\frac{yz^2}{yz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1871 && $x+\frac{x}{y}+\frac{x}{yz}+\frac{x}{y^2z}+y+z+\frac{1}{z}+\frac{2}{y}+\frac{1}{yz}+\frac{1}{y^2z}+\frac{yz}{x}+\frac{2}{x}+\frac{1}{xyz}$ && $911 \colon {}$ & $\left(y,z,\frac{y+z}{xz}\right)$ \spacer \\* 
 &&  && $1274 \colon {}$ & $\left(\frac{xyz}{yz+1},y,z\right)$ \spacer \\* 
 &&  && $1386 \colon {}$ & $\left(y,\frac{x+z}{xz},\frac{x^2}{x+z}\right)$ \spacer \\* 
 &&  && $1698 \colon {}$ & $\left(\frac{xyz}{yz+1},\frac{y^2z}{yz+1},\frac{yz+1}{y}\right)$ \spacer \\* 
 &&  && $2186 \colon {}$ & $\left(y,\frac{(y+z)(yz+y+z)}{xyz},\frac{xy^2}{(y+z)(yz+y+z)}\right)$ \spacer \\* 
 &&  && $2272 \colon {}$ & $\left(\frac{yz^2}{x(z+1)},z,y\right)$ \spacer \\* 
 &&  && $2560 \colon {}$ & $\left(y,z,\frac{(y+z)(yz+y+1)}{xyz^2}\right)$ \spacer \\* 
 &&  && $2575 \colon {}$ & $\left(\frac{xy^2z}{(y+1)(yz+1)},y,z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2186 && $x+y+z+\frac{1}{z}+\frac{z}{y}+\frac{2}{y}+\frac{z}{y^2}+\frac{y}{x}+\frac{y}{xz}+\frac{2z}{x}+\frac{3}{x}+\frac{z^2}{xy}+\frac{3z}{xy}+\frac{z^2}{xy^2}$ && $1871 \colon {}$ & $\left(\frac{(yz+1)(x+yz+1)}{y^2z},x,\frac{x}{yz}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $2835 \colon {}$ & $\left(x,\frac{(yz+1)^2}{y^2z},\frac{(yz+1)^2}{y^3z^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2272 && $x+\frac{x}{z}+\frac{2x}{yz}+\frac{2x}{yz^2}+\frac{x}{y^2z^2}+\frac{x}{y^2z^3}+y+z+\frac{2}{z}+\frac{1}{y}+\frac{1}{yz}+\frac{1}{yz^2}+\frac{yz}{x}+\frac{1}{x}$ && $1599 \colon {}$ & $\left(\frac{x+z+1}{yz},\frac{x+z+1}{xy},x\right)$ \spacer \\* 
 &&  && $1871 \colon {}$ & $\left(\frac{y^2z}{x(y+1)},z,y\right)$ \spacer \\* 
 &&  && $3128 \colon {}$ & $\left(\frac{(y+z+1)(yz+1)}{xy^2z},\frac{(y+z+1)(yz+1)}{xyz^2},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2557 && $x+y+z+\frac{2}{z}+\frac{2}{y}+\frac{y}{x}+\frac{y}{xz}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xz^2}+\frac{z}{xy}+\frac{1}{xy}+\frac{2}{xyz}+\frac{1}{xy^2}$ && $911 \colon {}$ & $\left(\frac{z(xy+1)}{xy},x,y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2560 && $x+y+\frac{y}{z}+z+\frac{2}{z}+\frac{2}{y}+\frac{y}{xz}+\frac{y}{xz^2}+\frac{2}{x}+\frac{2}{xz}+\frac{1}{xz^2}+\frac{z}{xy}+\frac{1}{xy}+\frac{2}{xyz}+\frac{1}{xy^2}$ && $1871 \colon {}$ & $\left(\frac{(x+y)(xy+x+1)}{xy^2z},x,y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2575 && $x+y+z+\frac{1}{z}+\frac{2}{y}+\frac{1}{yz}+\frac{1}{y^2z}+\frac{yz}{x}+\frac{z}{x}+\frac{3}{x}+\frac{3}{xy}+\frac{3}{xyz}+\frac{3}{xy^2z}+\frac{1}{xy^2z^2}+\frac{1}{xy^3z^2}$ && $1871 \colon {}$ & $\left(\frac{x(y+1)(yz+1)}{y^2z},y,z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2835 && $x+y+z+\frac{3}{y}+\frac{1}{yz}+\frac{3}{y^2z}+\frac{1}{y^3z^2}+\frac{yz}{x}+\frac{z}{x}+\frac{3}{x}+\frac{4}{xy}+\frac{3}{xyz}+\frac{6}{xy^2z}+\frac{1}{xy^2z^2}+\frac{4}{xy^3z^2}+\frac{1}{xy^4z^3}$ && $2186 \colon {}$ & $\left(x,\frac{(y+z)^2}{y^2z},\frac{y^3}{(y+z)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
3128 && $x+y+z+\frac{2}{z}+\frac{2}{y}+\frac{2}{yz}+\frac{y}{xz}+\frac{2}{x}+\frac{2}{xz}+\frac{1}{xz^2}+\frac{z}{xy}+\frac{2}{xy}+\frac{3}{xyz}+\frac{2}{xyz^2}+\frac{1}{xy^2}+\frac{2}{xy^2z}+\frac{1}{xy^2z^2}$ && $2272 \colon {}$ & $\left(\frac{(x+yz^2)(xz+x+yz)}{xy^2z^3},\frac{yz}{x},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
