\begin{center}
\footnotesize
\setlength{\mylength}{\baselineskip}
\begin{longtable}{rp{0ex}p{9cm}p{0ex}RL}
\caption{Laurent polynomials and selected mutations for bucket 77.}\\

\toprule \multicolumn{1}{c}{{Node}}&& \multicolumn{1}{c}{{Laurent polynomial}} && \multicolumn{2}{c}{{Mutations from Figure~\ref{fig:77a}}} \\ \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:77a}}} \\ \midrule \endhead

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

\bottomrule \endlastfoot

277 && $x+y+z+\frac{1}{y}+\frac{y}{xz}+\frac{3}{x}+\frac{2}{xz}+\frac{3}{x^2z}+\frac{1}{x^3z^2}$ && $1225 \colon {}$ & $\left(\frac{x^2z}{xz+1},\frac{xz+1}{x},\frac{y(xz+1)}{xz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
331 && $x+y+z+\frac{1}{z}+\frac{1}{y}+\frac{2z}{x}+\frac{2}{x}+\frac{z}{xy}+\frac{z}{x^2}$ && $605 \colon {}$ & $\left(\frac{xz+yz+1}{xyz},\frac{xz+yz+1}{x},\frac{xz+yz+1}{x^2z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $826 \colon {}$ & $\left(y,\frac{x^2y^2z}{xy^2z+(y+1)^2},\frac{xy^2}{xy^2z+(y+1)^2}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1225 \colon {}$ & $\left(\frac{x^3yz}{(xz+1)(xy+1)},\frac{(xz+1)(xy+1)}{x^2y},\frac{x^2z}{(xz+1)(xy+1)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 540 && $x+y+z+\frac{1}{y}+\frac{2y}{x}+\frac{3}{x}+\frac{1}{xyz}+\frac{y}{x^2}+\frac{2}{x^2z}+\frac{y}{x^3z}$ && $1225 \colon {}$ & $\left(\frac{(xz+1)(x^2yz+(xy+1)^2)}{x^3yz},\frac{(xz+1)(x^2yz+(xy+1)^2)}{x^4y^2z},\frac{x^4yz^2}{(xz+1)(x^2yz+(xy+1)^2)}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
605 && $x+y+z+\frac{1}{y}+\frac{yz}{x}+\frac{2y}{x}+\frac{3}{x}+\frac{1}{xyz}+\frac{y}{x^2}+\frac{1}{x^2z}$ && $331 \colon {}$ & $\left(\frac{xy+xz+yz}{xyz},\frac{xy+xz+yz}{x^2y},\frac{xy^2}{xy+xz+yz}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 826 && $x+y+z+\frac{2}{y}+\frac{2}{x}+\frac{2}{xy}+\frac{1}{xyz}+\frac{1}{xy^2}+\frac{1}{x^2z}+\frac{2}{x^2yz}+\frac{1}{x^2y^2z}$ && $331 \colon {}$ & $\left(\frac{x^2y+z(x+1)^2}{x^2},x,\frac{x^2y}{z(x^2y+z(x+1)^2)}\right)$ \spacer \\* 
 &&  && $1280 \colon {}$ & $\left(\frac{x^2}{x+y},\frac{x+y}{xy},\frac{y(x+y)}{x^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1160 && $x+y+z+\frac{y}{xz}+\frac{4}{x}+\frac{2}{xy}+\frac{4}{x^2z}+\frac{4}{x^2y}+\frac{6}{x^3yz}+\frac{1}{x^3y^2}+\frac{4}{x^4y^2z}+\frac{1}{x^5y^3z}$ && $1225 \colon {}$ & $\left(x,y,\frac{(xy+1)^3}{x^4y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1203 && $x+y+z+\frac{y}{xz}+\frac{4}{x}+\frac{2z}{xy}+\frac{2}{xy}+\frac{2}{x^2z}+\frac{4}{x^2y}+\frac{z}{x^2y^2}+\frac{1}{x^3yz}+\frac{1}{x^3y^2}$ && $1225 \colon {}$ & $\left(x,y,\frac{xyz}{xy+1}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \rowcolor[gray]{0.95}
1225 && $x+y+z+\frac{y}{xz}+\frac{4}{x}+\frac{z}{xy}+\frac{2}{xy}+\frac{3}{x^2z}+\frac{4}{x^2y}+\frac{3}{x^3yz}+\frac{1}{x^3y^2}+\frac{1}{x^4y^2z}$ && $277 \colon {}$ & $\left(\frac{xy+1}{y},\frac{xyz}{xy+1},\frac{xy^2}{xy+1}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $331 \colon {}$ & $\left(\frac{(x+z)(xy+1)}{xy},\frac{x^2y}{z(x+z)(xy+1)},\frac{x^2y^2}{(x+z)(xy+1)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $540 \colon {}$ & $\left(\frac{(xz+1)(x^2yz+(x+y)^2)}{x^3yz},\frac{x^4z}{(xz+1)(x^2yz+(x+y)^2)},\frac{x^4yz^2}{(xz+1)(x^2yz+(x+y)^2)}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1160 \colon {}$ & $\left(x,y,\frac{(xy+1)^3}{x^4y^2z}\right)$ \spacer \\* \rowcolor[gray]{0.95}
 &&  && $1203 \colon {}$ & $\left(x,y,\frac{z(xy+1)}{xy}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 1280 && $x+y+z+\frac{1}{y}+\frac{2y}{x}+\frac{y}{xz}+\frac{2z}{x}+\frac{3}{x}+\frac{z}{xy}+\frac{y^2}{x^2z}+\frac{2y}{x^2}+\frac{z}{x^2}$ && $826 \colon {}$ & $\left(\frac{xy+1}{y},\frac{xy+1}{xy^2},\frac{xy+1}{x^2y^2z}\right)$ \bottomspacer \\ \addlinespace[1.1ex]
 \end{longtable}
\end{center}
