\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 102.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:102a}}} \\ \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:102a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

286 && $x+\frac{x}{z}+y+z+\frac{2}{y}+\frac{y}{x}+\frac{3}{x}+\frac{3}{xy}+\frac{1}{xy^2}$ && $1265 \colon {}$ & $\left(\frac{(y+1)^3}{xy^2},y,\frac{(y+1)^3}{xy^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
674 && $x+\frac{x}{z}+\frac{x}{y}+\frac{x}{yz}+y+z+\frac{2}{y}+\frac{y}{x}+\frac{2}{x}+\frac{1}{xy}$ && $986 \colon {}$ & $\left(x,\frac{xz+(x+1)^2}{xy},\frac{x}{z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1383 \colon {}$ & $\left(\frac{(y+1)^2}{xy},y,\frac{(y+1)^2}{xyz}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1707 \colon {}$ & $\left(y,\frac{y^2+z(y+1)^2}{xyz},\frac{xy^2}{y^2+z(y+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 986 && $x+\frac{x}{z}+\frac{x}{y}+y+z+\frac{z}{y}+\frac{3}{y}+\frac{2}{x}+\frac{z}{xy}+\frac{3}{xy}+\frac{1}{x^2y}$ && $674 \colon {}$ & $\left(x,\frac{x^2+z(x+1)^2}{xyz},\frac{x}{z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1004 && $x+\frac{x}{y}+\frac{x}{yz}+y+z+\frac{2}{y}+\frac{2}{yz}+\frac{y}{x}+\frac{2}{x}+\frac{1}{xy}+\frac{1}{xyz}$ && $1383 \colon {}$ & $\left(y,\frac{xy}{y+1},\frac{z(y+1)}{y}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1657 \colon {}$ & $\left(\frac{1+z(y+1)^2}{xyz},y,z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1051 && $x+\frac{x}{y}+\frac{x}{yz}+y+z+\frac{2}{y}+\frac{1}{yz}+\frac{y}{x}+\frac{z}{x}+\frac{2}{x}+\frac{1}{xy}$ && $1383 \colon {}$ & $\left(y,\frac{xy}{y+1},\frac{y+1}{xz}\right)$ \spacer \\* 
 &&  && $2276 \colon {}$ & $\left(\frac{xyz}{yz+z+1},y,\frac{x}{yz+z+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1265 && $x+y+z+\frac{2}{y}+\frac{y}{x}+\frac{y}{xz}+\frac{3}{x}+\frac{3}{xz}+\frac{3}{xy}+\frac{3}{xyz}+\frac{1}{xy^2}+\frac{1}{xy^2z}$ && $286 \colon {}$ & $\left(\frac{(y+1)^3}{xy^2},y,\frac{x}{z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1383 \colon {}$ & $\left(x,y,\frac{(y+1)^2}{xyz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1383 && $x+y+z+\frac{z}{y}+\frac{2}{y}+\frac{y}{x}+\frac{y}{xz}+\frac{3}{x}+\frac{2}{xz}+\frac{3}{xy}+\frac{1}{xyz}+\frac{1}{xy^2}$ && $674 \colon {}$ & $\left(\frac{(y+1)^2}{xy},y,\frac{x}{z}\right)$ \spacer \\* 
 &&  && $1004 \colon {}$ & $\left(\frac{y(x+1)}{x},x,\frac{xz}{x+1}\right)$ \spacer \\* 
 &&  && $1051 \colon {}$ & $\left(\frac{y(x+1)}{x},x,\frac{x}{yz}\right)$ \spacer \\* 
 &&  && $1265 \colon {}$ & $\left(x,y,\frac{(y+1)^2}{xyz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1657 && $x+y+z+\frac{2}{y}+\frac{2}{yz}+\frac{y}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{3}{xy}+\frac{3}{xyz}+\frac{1}{xy^2}+\frac{2}{xy^2z}+\frac{1}{xy^2z^2}$ && $1004 \colon {}$ & $\left(\frac{1+z(y+1)^2}{xyz},y,z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $3653 \colon {}$ & $\left(\frac{x^3y^2z^2}{(xyz+1)^2},y,\frac{(xyz+1)^2}{x^2y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1707 && $x+y+z+\frac{2}{y}+\frac{yz}{x}+\frac{2y}{x}+\frac{y}{xz}+\frac{2z}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{3}{xy}+\frac{1}{xy^2}$ && $674 \colon {}$ & $\left(\frac{xyz+(x+1)^2}{xy},x,\frac{x}{yz}\right)$ \spacer \\* 
 &&  && $2126 \colon {}$ & $\left(x,y,\frac{y}{z(xy+(y+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2126 && $x+yz+y+z+\frac{2}{y}+\frac{y^2z}{x}+\frac{3yz}{x}+\frac{2y}{x}+\frac{3z}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{3}{xy}+\frac{1}{xy^2}$ && $1707 \colon {}$ & $\left(x,y,\frac{y}{z(xy+(y+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2276 && $x+y+z+\frac{2}{y}+\frac{1}{yz}+\frac{y}{x}+\frac{z}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{4}{xy}+\frac{2}{xyz}+\frac{1}{xy^2}+\frac{1}{xy^2z}$ && $1051 \colon {}$ & $\left(\frac{xy+x+yz}{y},y,\frac{x}{yz}\right)$ \spacer \\* 
 &&  && $2913 \colon {}$ & $\left(x,y,\frac{xy+(y+1)^2}{xy^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2913 && $x+y+z+\frac{2}{y}+\frac{1}{yz}+\frac{y}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{4}{xy}+\frac{3}{xyz}+\frac{1}{xy^2}+\frac{2}{xy^2z}+\frac{1}{x^2z}+\frac{3}{x^2yz}+\frac{3}{x^2y^2z}+\frac{1}{x^2y^3z}$ && $2276 \colon {}$ & $\left(x,y,\frac{xy+(y+1)^2}{xy^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 3653 && $x+y+z+\frac{2}{y}+\frac{y}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{5}{xy}+\frac{3}{xyz}+\frac{1}{xy^2}+\frac{2}{xy^2z}+\frac{2}{x^2z}+\frac{6}{x^2yz}+\frac{7}{x^2y^2z}+\frac{2}{x^2y^3z}+\frac{1}{x^3yz^2}+\frac{3}{x^3y^2z^2}+\frac{3}{x^3y^3z^2}+\frac{1}{x^3y^4z^2}$ && $1657 \colon {}$ & $\left(\frac{(xyz+1)^2}{xy^2z^2},y,\frac{x^2y^2z^3}{(xyz+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
