\begin{center}
\footnotesize
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\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 132.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:132a}}} \\ \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:132a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

448 && $x+2yz+y+z+\frac{2}{yz}+\frac{y^2z^2}{x}+\frac{4yz}{x}+\frac{6}{x}+\frac{4}{xyz}+\frac{1}{xy^2z^2}$ && $512 \colon {}$ & $\left(\frac{(xy+1)^2}{xy^2},\frac{xy}{z},z\right)$ \spacer \\* 
 &&  && $1989 \colon {}$ & $\left(\frac{xy}{y+z},\frac{xz}{y+z},y+z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
508 && $x+\frac{2x}{y}+\frac{x}{yz}+\frac{x}{y^2}+y+z+\frac{3}{y}+\frac{2y}{x}+\frac{3}{x}+\frac{y}{x^2}$ && $512 \colon {}$ & $\left(\frac{xy+1}{y},\frac{xy+1}{xy^2},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $2045 \colon {}$ & $\left(\frac{x^2yz}{xyz+xz^2+y},\frac{x^2z^2}{xyz+xz^2+y},\frac{xyz+xz^2+y}{xz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 512 && $xy^2+2xy+\frac{xy}{z}+x+2y+z+\frac{2}{y}+\frac{1}{x}+\frac{2}{xy}+\frac{1}{xy^2}$ && $448 \colon {}$ & $\left(\frac{xy^2z^2}{(yz+1)^2},\frac{(yz+1)^2}{xyz},z\right)$ \spacer \\* 
 &&  && $508 \colon {}$ & $\left(\frac{x^2}{x+y},\frac{x+y}{xy},z\right)$ \spacer \\* 
 &&  && $1176 \colon {}$ & $\left(\frac{x}{xz+(xyz+1)^2},xyz,y\right)$ \spacer \\* 
 &&  && $2052 \colon {}$ & $\left(\frac{x^3y^2}{x^3y^2z+(xy+1)^2},\frac{x^3y^2z+(xy+1)^2}{x^2y},\frac{x^4y^2z}{x^3y^2z+(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
877 && $x+\frac{2x}{y}+\frac{x}{y^2}+y+z+\frac{3}{y}+\frac{1}{yz}+\frac{2y}{x}+\frac{3}{x}+\frac{1}{xz}+\frac{y}{x^2}$ && $1176 \colon {}$ & $\left(\frac{(xyz+1)(xz+(xyz+1)^2)}{x^3y^2z^2},\frac{(xyz+1)(xz+(xyz+1)^2)}{x^2yz},y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1176 && $xy^2z^2+2xyz+x+4yz+y+z+\frac{6}{x}+\frac{2}{xy}+\frac{2}{xyz}+\frac{4}{x^2yz}+\frac{1}{x^2y^2z}+\frac{1}{x^3y^2z^2}$ && $512 \colon {}$ & $\left(\frac{x(y+z(y+1)^2)}{z},z,\frac{y}{x(y+z(y+1)^2)}\right)$ \spacer \\* 
 &&  && $877 \colon {}$ & $\left(\frac{(x+y)(xy+z(x+y)^2)}{x^2y^2z},z,\frac{xy^3}{(x+y)(xy+z(x+y)^2)}\right)$ \spacer \\* 
 &&  && $1246 \colon {}$ & $\left(x,y+z,\frac{z}{xy(y+z)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1246 && $x+y+\frac{2y}{z}+z+\frac{2z}{y}+\frac{y^2}{xz^2}+\frac{4y}{xz}+\frac{6}{x}+\frac{1}{xz}+\frac{4z}{xy}+\frac{1}{xy}+\frac{z^2}{xy^2}$ && $1176 \colon {}$ & $\left(x,\frac{y}{xyz+1},\frac{xy^2z}{xyz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1989 && $xz^2+2xz+x+\frac{xz^3}{y}+y+5z+\frac{4z^2}{y}+\frac{6}{x}+\frac{2}{xz}+\frac{6z}{xy}+\frac{4}{x^2z}+\frac{4}{x^2y}+\frac{1}{x^3z^2}+\frac{1}{x^3yz}$ && $448 \colon {}$ & $\left(x+y,\frac{xz}{x+y},\frac{yz}{x+y}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
2045 && $x+y+\frac{2y}{z}+z+\frac{2z}{y}+\frac{y^2}{xz^2}+\frac{5y}{xz}+\frac{6}{x}+\frac{4z}{xy}+\frac{z^2}{xy^2}+\frac{y^2}{x^2z^3}+\frac{3y}{x^2z^2}+\frac{3}{x^2z}+\frac{1}{x^2y}$ && $508 \colon {}$ & $\left(\frac{xyz+x+y^2z}{yz},\frac{xyz^2}{xyz+x+y^2z},\frac{y^2z^2}{xyz+x+y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 2052 && $x^2y^2z+xy^2+2xyz+2xy+x+5y+z+\frac{y}{xz}+\frac{6}{x}+\frac{2}{xy}+\frac{2}{x^2z}+\frac{4}{x^2y}+\frac{1}{x^3yz}+\frac{1}{x^3y^2}$ && $512 \colon {}$ & $\left(\frac{xy^2z+(xy+1)^2}{xy^2},\frac{x^2y^3}{xy^2z+(xy+1)^2},\frac{y^2z}{xy^2z+(xy+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
