\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 37.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:37a}}} \\ \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:37a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

82 && $xy+x+y+z+\frac{1}{y}+\frac{1}{yz}+\frac{1}{x}$ && $180 \colon {}$ & $\left(\frac{y+1}{x},\frac{xy}{y+1},z\right)$ \spacer \\* 
 &&  && $215 \colon {}$ & $\left(y,\frac{x}{y+1},z\right)$ \spacer \\* 
 &&  && $403 \colon {}$ & $\left(\frac{xyz+1}{x},\frac{1}{y},\frac{xyz+1}{x^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
180 && $x+y+z+\frac{y}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}+\frac{1}{xyz}$ && $82 \colon {}$ & $\left(\frac{xy+1}{x},xy,z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $390 \colon {}$ & $\left(x,\frac{1}{y(x+1)},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 215 && $x+y+z+\frac{1}{y}+\frac{y}{x}+\frac{y}{xz}+\frac{1}{x}+\frac{1}{xz}$ && $82 \colon {}$ & $\left(y(x+1),x,z\right)$ \spacer \\* 
 &&  && $623 \colon {}$ & $\left(\frac{yz+y+z}{xyz},\frac{yz+y+z}{xy},\frac{xz}{yz+y+z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
320 && $x+y+z+\frac{z}{x}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{xyz}+\frac{1}{x^2y}+\frac{1}{x^2y^2z}$ && $638 \colon {}$ & $\left(x,y,\frac{z(xy+1)}{xy}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $644 \colon {}$ & $\left(\frac{x^2z+xyz+y}{x^2yz},\frac{x^3z}{x^2z+xyz+y},\frac{x^2z+xyz+y}{x^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 390 && $x+y+\frac{y}{z}+z+\frac{y}{x}+\frac{y}{xz}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}$ && $180 \colon {}$ & $\left(x,\frac{1}{y(x+1)},z\right)$ \spacer \\* 
 &&  && $958 \colon {}$ & $\left(\frac{z+y(z+1)^2}{xyz},z,\frac{xz}{z+y(z+1)^2}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
394 && $x+y+z+\frac{z}{y}+\frac{1}{y}+\frac{1}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{xyz}$ && $644 \colon {}$ & $\left(\frac{yz+1}{y},\frac{x}{yz+1},\frac{xyz}{yz+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 403 && $x+yz+y+z+\frac{1}{y}+\frac{y}{x}+\frac{1}{x}+\frac{1}{xy}+\frac{1}{x^2z}$ && $82 \colon {}$ & $\left(\frac{x+yz}{xyz},\frac{1}{y},\frac{x^2y}{x+yz}\right)$ \spacer \\* 
 &&  && $644 \colon {}$ & $\left(x,\frac{x}{y(xz+x+1)},z\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
623 && $x+y+z+\frac{yz}{x}+\frac{y}{x}+\frac{2z}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{z}{xy}+\frac{1}{xy}$ && $215 \colon {}$ & $\left(\frac{xyz+x+y}{xy},\frac{1}{xz},\frac{y}{x}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 638 && $x+y+z+\frac{z}{x}+\frac{2}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{1}{xyz}+\frac{z}{x^2y}+\frac{1}{x^2y}$ && $320 \colon {}$ & $\left(x,y,\frac{xyz}{xy+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
644 && $x+yz+y+z+\frac{1}{y}+\frac{yz}{x}+\frac{2y}{x}+\frac{1}{x}+\frac{y}{x^2}+\frac{1}{x^2z}$ && $320 \colon {}$ & $\left(\frac{xy^2z+yz+1}{xyz},\frac{xy^2z+yz+1}{x^2y^2z},\frac{xy^2z^2}{xy^2z+yz+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $394 \colon {}$ & $\left(y+z,\frac{y+z}{xy},\frac{xz}{y+z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $403 \colon {}$ & $\left(x,\frac{x}{y(xz+x+1)},z\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1331 \colon {}$ & $\left(\frac{x^2y}{xy+1},\frac{x}{xy+1},\frac{z(xy+1)}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 958 && $x+yz+y+z+\frac{yz^2}{x}+\frac{2yz}{x}+\frac{y}{x}+\frac{2z}{x}+\frac{2}{x}+\frac{1}{xz}+\frac{1}{xy}$ && $390 \colon {}$ & $\left(\frac{xyz+(y+1)^2}{xy},\frac{1}{xz},y\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1331 && $x+y+z+\frac{z}{y}+\frac{2}{x}+\frac{2z}{xy}+\frac{2}{xy}+\frac{1}{x^2z}+\frac{2}{x^2y}+\frac{z}{x^2y^2}+\frac{1}{x^3yz}+\frac{1}{x^3y^2}$ && $644 \colon {}$ & $\left(x+y,\frac{x}{y(x+y)},\frac{xz}{x+y}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1731 \colon {}$ & $\left(x,y,\frac{y^2}{z(x^2y+(xy+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1731 && $x+y+z+\frac{z}{y}+\frac{2}{x}+\frac{3z}{xy}+\frac{2}{xy}+\frac{z}{xy^2}+\frac{1}{x^2z}+\frac{2}{x^2y}+\frac{3z}{x^2y^2}+\frac{1}{x^3y^2}+\frac{z}{x^3y^3}$ && $1331 \colon {}$ & $\left(x,y,\frac{y^2}{z(x^2y+(xy+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
