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\begin{document}

\section*{PDEs expressing the 4-index Q-functions} 

This appendix contains a list of PDEs, expressing all the 4-index $Q$-functions that were not elements of the basis for $\Gamma \big( J, \mathcal{O}(2 \Theta^{[5]} ) \big)$ as a linear combination of basis elements. The exceptions are $Q_{1112}$ and $Q_{1111}$, which have not been given since they would require the calculation of $C_{55}$ and $C_{59}$ respectively.

The PDEs are ordered in decreasing weight (as indicated by the number in brackets).
\begin{align*}
\textbf{(-4)} \quad Q_{6666} &= - 3\wp_{55} + 4\wp_{46} \\
\textbf{(-5)} \quad Q_{5666} &= - 2\wp_{45} \\
\textbf{(-6)} \quad Q_{4666} &= 6\lambda_{4}\wp_{66} - 2\wp_{44} - \textstyle \frac{3}{2}Q_{5566} \\
\textbf{(-7)} \quad Q_{4566} &= 2\lambda_{4}\wp_{56} + 2\wp_{36} \\
\textbf{(-7)} \quad Q_{5556} &= 4\lambda_{4}\wp_{56} + 4\wp_{36} \\
\textbf{(-8)} \quad Q_{4466} &= 4\lambda_4\wp_{46} + \lambda_{4}\wp_{55} + \wp_{35} + 6\wp_{26} - Q_{4556} + 4\lambda_3\\
\textbf{(-8)} \quad Q_{5555} &= 16\lambda_{4}\wp_{55} + 4\wp_{35} + 24\wp_{26} - 6Q_{4556} + 16\lambda_3 \\
\textbf{(-9)} \quad Q_{4456} &= \textstyle \frac{8}{3}\lambda_{4}\wp_{45} + 2\wp_{25} - \frac{4}{3}\wp_{34} -  \frac{1}{6}Q_{4555} \\
\textbf{(-9)} \quad Q_{3666} &= \textstyle 2\lambda_{4}\wp_{45} - \frac{1}{2}Q_{4555} \\
\textbf{(-10)} \quad Q_{2666} &= \textstyle - \frac{1}{2}Q_{4455} - \frac{1}{2}Q_{3566} - \frac{1}{2}\lambda_{4}Q_{5566} + 4\wp_{66}\lambda_3 \\
\textbf{(-10)} \quad Q_{4446} &= \textstyle 6\lambda_{4}\wp_{44} - 2\wp_{24} - 2\lambda_{4}^2\wp_{66} \\
&\quad \textstyle - Q_{4455} + \frac{1}{2}\lambda_{4}Q_{5566} - \frac{5}{2}Q_{3566} + 4\wp_{66}\lambda_{3} \\
\textbf{(-11)} \quad Q_{3466} &= \textstyle 4\wp_{36}\lambda_4 - \frac{1}{2}Q_{3566} \\
\textbf{(-11)} \quad Q_{4445} &= \textstyle 6\wp_{36}\lambda_4 - 2\wp_{56}\lambda_4^2 + 8\wp_{56}\lambda_3 -  3Q_{2566} - \frac{3}{2}Q_{3556} \\
\textbf{(-12)} \quad Q_{2466} &= \textstyle 8\wp_{16} - \wp_{33} + 2\lambda_2 - \frac{1}{2}Q_{2456} - Q_{3456} + 4\lambda_4\wp_{26} + 2\lambda_4\wp_{35} \\
\textbf{(-12)} \quad Q_{3555} &= 24\wp_{16} - 8\wp_{33} + 16\lambda_4\wp_{35} - 6Q_{3456} \\
\textbf{(-12)} \quad Q_{4444} &=  -12\wp_{16} + 9\wp_{33} + 6\lambda_2 + 12Q_{3456} + 12\wp_{55}\lambda_3 
+ 4\wp_{46}\lambda_4^2 \\ &\quad - 16\wp_{46}\lambda_3 - 3\wp_{55}\lambda_4^2 + 12\lambda_4\wp_{26} - 18\lambda_4\wp_{35} 
- 6Q_{2556} \\
\textbf{(-13)} \quad Q_{2555} &= \textstyle 2\wp_{15} - 8\wp_{23} + 16\wp_{25}\lambda_4 - 6Q_{2456} \\
\textbf{(-13)} \quad Q_{3446} &= \textstyle 6\wp_{15} - 4\wp_{23} + 4\wp_{25}\lambda_4 + \frac{8}{3}\wp_{34}\lambda_4 \\
&\quad \textstyle + \frac{2}{3}\wp_{45}\lambda_4^2 - \frac{1}{6}Q_{4555}\lambda_4 - 2Q_{2456} \\
\textbf{(-13)} \quad Q_{3455} &= \textstyle -4\wp_{25}\lambda_4 + \frac{8}{3}\wp_{34}\lambda_4  - \frac{4}{3}\wp_{45}\lambda_4^2 + \frac{1}{3}Q_{4555}\lambda_4 + 2Q_{2456} \\
\textbf{(-14)} \quad Q_{1666} &= \textstyle - \frac{1}{2}\lambda_{4}Q_{3566} + Q_{3366} 
- \frac{1}{2}Q_{3445} \\
\textbf{(-14)} \quad Q_{2446} &= \textstyle \frac{8}{3}\wp_{14} - 2\wp_{22} + \frac{8}{3}\wp_{24}\lambda_{4} 
- \frac{2}{3}\wp_{66}\lambda_{4}\lambda_{3} + \frac{5}{6}Q_{3366} + Q_{5566}\lambda_{3} \\
&\quad \textstyle - \frac{1}{6}Q_{5566}\lambda_{4}^{2} 
+ 2\wp_{44}\lambda_{3} - \frac{1}{6}\lambda_{4}Q_{4455} - \frac{4}{3}\lambda_{4}Q_{3566}  - \frac{7}{6}Q_{3445} \\
\textbf{(-14)} \quad Q_{2455} &= \textstyle \frac{8}{3}\wp_{14} - 2\wp_{22} + \frac{8}{3}\wp_{24}\lambda_{4} 
- \frac{2}{3}\wp_{66}\lambda_{4}\lambda_{3} - \frac{5}{3}Q_{3366} - Q_{5566}\lambda_{3} \\
&\quad \textstyle + \frac{1}{3}Q_{5566}\lambda_{4}^{2} 
+ 6\wp_{66}\lambda_{2} - 2\wp_{44}\lambda_{3} + \frac{1}{3}\lambda_{4}Q_{4455} 
+ \frac{2}{3}\lambda_{4}Q_{3566} \\
&\quad \textstyle + \frac{1}{3}Q_{3445} 
\end{align*}

\newpage

\begin{align*}
\textbf{(-15)} \quad Q_{1566} &= \textstyle - \frac{1}{4}Q_{2445} - \frac{1}{4}Q_{2455}\lambda_4 + \frac{3}{4}\wp_{2366} - \frac{3}{2}\wp_{23}\wp_{66} - 3\wp_{26}\wp_{36} \\
&\quad \textstyle - \frac{1}{2}\wp_{36}\lambda_3 + \frac{3}{2}\wp_{56}\lambda_2 \\
\textbf{(-15)} \quad Q_{3356} &= \textstyle - \frac{1}{2}Q_{2445} + 3\wp_{36}\lambda_3 + 3\wp_{56}\lambda_2 
- \frac{1}{2}Q_{2566}\lambda_4 - \frac{1}{2}Q_{2366} \\
\textbf{(-15)} \quad Q_{3444} &= \textstyle - \frac{3}{4}Q_{2445} + 4\wp_{36}\lambda_4^2 - \frac{3}{2}Q_{3556}\lambda_4 
+ \frac{13}{2}\wp_{36}\lambda_3 + \frac{9}{2}\wp_{56}\lambda_2 \\
&\quad \textstyle - \frac{3}{4}Q_{2566}\lambda_4 - \frac{15}{4}Q_{2366} \\
\textbf{(-16)} \quad Q_{3346} &= -2Q_{1466} + 4\lambda_1 - Q_{1556} - Q_{2266} + 16\wp_{16}\lambda_4 
+ 3\wp_{35}\lambda_3 - \wp_{55}\lambda_2 \\
&\quad \textstyle + 2\wp_{26}\lambda_3 - 2Q_{2356} \\
\textbf{(-16)} \quad Q_{3355} &= 8Q_{1466} - 8\lambda_1 + 6Q_{1556} - 32\wp_{16}\lambda_4 + 4\wp_{35}\lambda_3 \\
&\quad \textstyle - 2Q_{2356}  \\
\textbf{(-16)} \quad Q_{2444} &= \textstyle + 2\lambda_{4}\lambda_{2} + 10\lambda_{1} + 36\wp_{16}\lambda_{4} 
+ \frac{3}{2}\wp_{35}\lambda_{3} + \frac{15}{2}\wp_{55}\lambda_{2} - Q_{3456}\lambda_{4} \\
&\quad \textstyle - \frac{3}{2}Q_{2556}\lambda_{4} - 7\wp_{26}\lambda_{3} - 6\wp_{46}\lambda_{2} + 3\wp_{33}\lambda_{4} 
+ 6\lambda_{4}\wp_{3456} \\
&\quad \textstyle - 12\lambda_{4}\wp_{34}\wp_{56} - 12\lambda_{4}\wp_{35}\wp_{46} - 12\lambda_{4}\wp_{36}\wp_{45} 
+ 4\wp_{26}\lambda_{4}^{2} - 6\wp_{35}\lambda_{4}^{2} \\
&\quad \textstyle - 9Q_{1466} - 9Q_{1556} + \frac{3}{2}Q_{2266} + 3Q_{2356} \\
\textbf{(-17)} \quad Q_{1456} &= \textstyle - 2\wp_{13} - \wp_{45}\lambda_2 + 2\wp_{25}\wp_{26} + \wp_{22}\wp_{56} 
+ 4\wp_{15}\lambda_4 - Q_{2346} \\
&\quad \textstyle - \frac{1}{12}Q_{4555}\lambda_3 - \frac{1}{2}\wp_{2256} + \wp_{25}\lambda_3
+ \frac{1}{3}\wp_{45}\lambda_4\lambda_3 + \frac{4}{3}\wp_{34}\lambda_3 \\
\textbf{(-17)} \quad Q_{1555} &= \textstyle 4\wp_{13} + 6\wp_{45}\lambda_2 + 3Q_{2256} - 8\wp_{15}\lambda_4
+ 6Q_{2346} + \frac{1}{2}Q_{4555}\lambda_3 \\
&\quad \textstyle - 6\wp_{25}\lambda_3 - 2\wp_{45}\lambda_4\lambda_3 - 8\wp_{34}\lambda_3 \\
\textbf{(-17)} \quad Q_{2355} &= \textstyle - 4\wp_{13} - 4\wp_{45}\lambda_2 - 2Q_{2256} + 8\wp_{15}\lambda_4 
- 2Q_{2346} \\ &\quad \textstyle + 4\wp_{25}\lambda_3 + 4\wp_{34}\lambda_3 \\
\textbf{(-17)} \quad Q_{3345} &= \textstyle - 2\wp_{25}\lambda_3 + \frac{4}{3}\wp_{34}\lambda_3 
- \frac{2}{3}\wp_{45}\lambda_4\lambda_3 + 2\wp_{45}\lambda_2  + Q_{2256} + \frac{1}{6}Q_{4555}\lambda_3 \\
\textbf{(-18)} \quad Q_{1446} &= \textstyle - 6\wp_{12} + 6\wp_{66}\lambda_{1} + \frac{1}{2}Q_{3566}\lambda_{4}^2 - Q_{1455}
+ 8\wp_{14}\lambda_{4} - Q_{3566}\lambda_{3} \\
&\quad \textstyle - Q_{2345} - \frac{1}{2}Q_{3344} - \frac{1}{2}Q_{3366}\lambda_{4} + \frac{1}{2}Q_{3445}\lambda_{4} \\
\textbf{(-18)} \quad Q_{2246} &= \textstyle 2\wp_{44}\lambda_{2} - 4\wp_{66}\lambda_{1} 
- 2\wp_{66}\lambda_{4}\lambda_{2} + \frac{1}{2}Q_{3566}\lambda_{3} + Q_{3366}\lambda_{4} \\
&\quad \textstyle - Q_{3445}\lambda_{4} - Q_{3566}\lambda_{4}^2 
+ 2\wp_{24}\lambda_{3} + \frac{3}{2}Q_{5566}\lambda_{2} + Q_{1455} \\
\textbf{(-18)} \quad Q_{2255} &= \textstyle - 8\wp_{12} - 8\wp_{44}\lambda_{2} + 16\wp_{66}\lambda_{1} 
+ \frac{32}{3}\wp_{14}\lambda_{4} + 8\wp_{66}\lambda_{4}\lambda_{2} - 2\wp_{2345} \\
&\quad \textstyle - \frac{2}{3}Q_{3566}\lambda_{3} - \frac{8}{3}Q_{3366}\lambda_{4} + \frac{4}{3}Q_{3445}\lambda_{4} 
+ \frac{4}{3}Q_{3566}\lambda_{4}^2 + \frac{1}{3}Q_{4455}\lambda_{3} \\
&\quad \textstyle + \frac{1}{3}\lambda_{4}\lambda_{3}\wp_{5566} - \frac{2}{3}\lambda_{4}\lambda_{3}\wp_{55}\wp_{66} 
- \frac{4}{3}\lambda_{4}\lambda_{3}\wp_{56}^2 - \frac{8}{3}\wp_{66}\lambda_{3}^2 + \frac{8}{3}\wp_{24}\lambda_{3} \\
&\quad \textstyle + 4\wp_{23}\wp_{45} + 4\wp_{24}\wp_{35} + 4\wp_{25}\wp_{34} - 3Q_{5566}\lambda_{2} - 2Q_{1455}  \\
\textbf{(-19)} \quad Q_{1366} &= \textstyle - \frac{3}{10}Q_{2245} - \frac{2}{5}Q_{2344} 
- \frac{3}{10}Q_{2566}\lambda_{3} - \frac{1}{4}Q_{2366}\lambda_{4} + \frac{3}{20}Q_{2455}\lambda_{4}  \\
&\quad \textstyle + \frac{3}{20}Q_{2566}\lambda_{4}^2 + \frac{12}{5}\wp_{56}\lambda_{1} - \frac{3}{10}\wp_{56}\lambda_{4}\lambda_{2} + \frac{7}{10}\wp_{36}\lambda_{4}\lambda_{3} \\
&\quad \textstyle + \frac{9}{5}\wp_{36}\lambda_{2} - \frac{1}{4}Q_{3556}\lambda_{3} \\
\textbf{(-19)} \quad Q_{3336} &= \textstyle - \frac{3}{5}Q_{2245} + \frac{6}{5}Q_{2344} 
- \frac{3}{5}Q_{2566}\lambda_{3} + \frac{3}{2}Q_{2366}\lambda_{4} + \frac{3}{10}Q_{2455}\lambda_{4} \\
&\quad \textstyle + \frac{3}{10}Q_{2566}\lambda_{4}^2 + \frac{38}{5}\wp_{36}\lambda_{2} - \frac{16}{5}\wp_{56}\lambda_{1} - \frac{3}{5}\wp_{56}\lambda_{4}\lambda_{2} \\
&\quad \textstyle - \frac{33}{5}\wp_{36}\lambda_{4}\lambda_{3} + \frac{3}{2}Q_{3556}\lambda_{3} 
\end{align*}

\newpage

\begin{align*}
\textbf{(-19)} \quad Q_{1445} &= \textstyle - \frac{1}{2}Q_{2245} - Q_{2344} - \frac{1}{2}Q_{2566}\lambda_{3} 
- \frac{3}{2}Q_{2366}\lambda_{4}  + 8\wp_{56}\lambda_{1} + 3\wp_{36}\lambda_{2} \\
&\quad \textstyle + \frac{1}{2}Q_{2566}\lambda_{4}^2   + \frac{1}{2}Q_{2455}\lambda_{4}
- 2\wp_{56}\lambda_{4}\lambda_{2} + 3\wp_{36}\lambda_{4}\lambda_{3} - \frac{3}{4}Q_{3556}\lambda_{3} \\
\textbf{(-20)} \quad Q_{2244} &= \textstyle + 2\lambda_{3}\lambda_{2} + 28\lambda_{4}\lambda_{1} + 2\wp_{55}\lambda_{4}\lambda_{2} 
- 6\wp_{35}\lambda_{4}\lambda_{3} + 3\wp_{33}\lambda_{3}  \\
&\quad \textstyle - 24\wp_{46}\lambda_{1} + 112\wp_{16}{\lambda_{4}}^{2} - 44\wp_{16}\lambda_{3} + 28\wp_{55}\lambda_{1} 
+ 9\wp_{35}\lambda_{2}  \\
&\quad \textstyle + 20Q_{1356} - 6Q_{1444} + 10Q_{1266} - 22Q_{1466}\lambda_{4} + Q_{2266}\lambda_{4}  \\
&\quad \textstyle + 2Q_{2356}\lambda_{4} + 2Q_{3456}\lambda_{3} - 22Q_{1556}\lambda_{4} - Q_{2556}\lambda_{3} - 6\wp_{26}\lambda_{2} \\
\textbf{(-20)} \quad Q_{2336} &= \textstyle 8\wp_{16}\lambda_{3} - 2\wp_{55}\lambda_{1} + 2\wp_{35}\lambda_{2} - 2Q_{1356} - 2Q_{1266} \\
\textbf{(-20)} \quad Q_{3335} &= \textstyle - 32\lambda_{4}\lambda_{1} + 24\wp_{46}\lambda_{1} - 128\wp_{16}{\lambda_{4}}^{2} 
+ 56\wp_{16}\lambda_{3} - 32\wp_{55}\lambda_{1}  \\
&\quad \textstyle - 30Q_{1356} + 8Q_{1444} - 12Q_{1266} + 24Q_{1466}\lambda_{4} + 24Q_{1556}\lambda_{4} \\
&\quad \textstyle + 4\wp_{35}\lambda_{2} \\
\textbf{(-21)} \quad Q_{1256} &= \textstyle - \frac{1}{2}Q_{2236} - Q_{1346} - \frac{1}{12}Q_{4555}\lambda_{2} 
+ \frac{1}{3}\wp_{45}\lambda_{4}\lambda_{2} + 3\wp_{15}\lambda_{3} \\
&\quad \textstyle + \frac{4}{3}\wp_{34}\lambda_{2} 
- 2\wp_{45}\lambda_{1} \\
\textbf{(-21)} \quad Q_{1355} &= \textstyle \frac{1}{2}Q_{2236} + Q_{1346} + \frac{1}{4}Q_{4555}\lambda_{2} - \frac{1}{2}Q_{2335} - \wp_{45}\lambda_{4}\lambda_{2} + \wp_{15}\lambda_{3} \\
\textbf{(-21)} \quad Q_{3334} &= \textstyle - \frac{3}{2}Q_{2236} - 3Q_{1346} + \frac{1}{4}Q_{4555}\lambda_{2} 
+ \frac{3}{2}Q_{2335} - \wp_{45}\lambda_{4}\lambda_{2} + 9\wp_{15}\lambda_{3} \\
&\quad \textstyle + 12\wp_{34}\lambda_{2} - 8\wp_{45}\lambda_{1} \\
\textbf{(-22)} \quad Q_{1345} &= \textstyle  5\wp_{{66}}\lambda_{{0}}
- \wp_{11} + \frac{16}{15}\wp_{14}\lambda_4^2 
+ \frac{11}{5}\wp_{{66}}\lambda_{{4}}\lambda_{{1}} - {\frac{7}{30}}Q_{3566}\lambda_{4}\lambda_{3}  \\
&\quad \textstyle   - \frac{1}{5} Q_{3344}\lambda_{{4}}
- \frac{1}{2} Q_{1255} + \frac{10}{3}\wp_{{14}}\lambda_{{3}} - \wp_{{44}}\lambda_{{1}} -  Q_{1246}  \\
&\quad \textstyle + \frac{2}{15} Q_{3566}{\lambda_{{4}}}^{3}  
- \frac{1}{15} Q_{3366}{\lambda_{{4}}}^{2} - \frac{1}{3} Q_{3366}\lambda_{{3}} 
+ \frac{1}{6} Q_{3445}\lambda_{{3}} \\
&\quad \textstyle - \frac{2}{5} Q_{2345}\lambda_{{4}} - \frac{4}{5}\wp_{12}\lambda_{4}
+ \frac{2}{15} Q_{3445}{\lambda_{{4}}}^{2} \\
\textbf{(-22)} \quad Q_{2226} &= \textstyle  - 6\wp_{{11}} + \frac{7}{2} Q_{3566}\lambda_{{2}} 
+ \frac{1}{2} Q_{4455}\lambda_{{2}} + 6 Q_{5566}\lambda_{{1}} 
+ {\frac {32}{5}}\wp_{{14}}{\lambda_{{4}}}^{2} \\
&\quad \textstyle - {\frac {14}{5}}\wp_{{66}}\lambda_{{4}}\lambda_{{1}} 
- {\frac {39}{10}} Q_{3566}\lambda_{{4}}\lambda_{{3}} - {\frac {24}{5}}\wp_{{12}}\lambda_{{4}} 
+ 4\wp_{{24}}\lambda_{{2}} - 10\wp_{{66}}\lambda_{{0}} \\
&\quad \textstyle + 12\wp_{{14}}\lambda_{{3}} 
+ 6\wp_{{44}}\lambda_{{1}} - 2\wp_{{66}}\lambda_{{3}}\lambda_{{2}} - 6 Q_{1246} 
+ \frac{4}{5} Q_{3445}{\lambda_{{4}}}^{2} \\
&\quad \textstyle - \frac{6}{5} Q_{3344}\lambda_{{4}} 
- \frac{2}{5} Q_{3366}{\lambda_{{4}}}^{2} + \frac{3}{2} Q_{3366}\lambda_{{3}} 
- \frac{3}{2} Q_{3445}\lambda_{{3}} - {\frac {12}{5}} Q_{2345}\lambda_{{4}} \\
&\quad \textstyle + \frac{4}{5} Q_{3566}{\lambda_{{4}}}^{3} + \frac{1}{2} Q_{5566}\lambda_{{4}}\lambda_{{2}} \\
\textbf{(-22)} \quad Q_{2235} &= \textstyle  - 2\wp_{{11}} -  Q_{3566}\lambda_{{2}} 
- 4 Q_{5566}\lambda_{{1}} - {\frac {32}{15}}\wp_{{14}}{\lambda_{{4}}}^{2} 
+ {\frac {38}{5}}\wp_{{66}}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle + {\frac {22}{15}} Q_{3566}\lambda_{{4}}\lambda_{{3}} 
+ \frac{8}{5}\wp_{{12}}\lambda_{{4}} + 10\wp_{{66}}\lambda_{{0}} -  Q_{1255} 
+ \frac{4}{3}\wp_{{14}}\lambda_{{3}} \\
&\quad \textstyle - 10\wp_{{44}}\lambda_{{1}} + 2 Q_{1246} 
- {\frac {4}{15}} Q_{3445}{\lambda_{{4}}}^{2} + \frac{2}{5} Q_{3344}\lambda_{{4}} 
+ \frac{2}{15} Q_{3366}{\lambda_{{4}}}^{2} \\
&\quad \textstyle - \frac{4}{3} Q_{3366}\lambda_{{3}} 
+ \frac{2}{3} Q_{3445}\lambda_{{3}} + \frac{4}{5} Q_{2345}\lambda_{{4}} 
- {\frac {4}{15}} Q_{3566}{\lambda_{{4}}}^{3} \\
\textbf{(-22)} \quad Q_{2334} &= \textstyle  - 4\wp_{{11}} -  Q_{3566}\lambda_{{2}} 
+ 2 Q_{5566}\lambda_{{1}} - {\frac {32}{15}}\wp_{{14}}{\lambda_{{4}}}^{2} 
- {\frac {32}{5}}\wp_{{66}}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle + {\frac {7}{15}} Q_{3566}\lambda_{{4}}\lambda_{{3}} 
+ \frac{8}{5}\wp_{{12}}\lambda_{{4}} +  Q_{1255} + \frac{4}{3}\wp_{{14}}\lambda_{{3}} 
+ 4\wp_{{44}}\lambda_{{1}} \\
&\quad \textstyle - {\frac {4}{15}} Q_{3445}{\lambda_{{4}}}^{2} 
+ \frac{2}{5} Q_{3344}\lambda_{{4}} + \frac{2}{15} Q_{3366}{\lambda_{{4}}}^{2} 
+ \frac{2}{3} Q_{3366}\lambda_{{3}}  \\
&\quad \textstyle - \frac{1}{3} Q_{3445}\lambda_{{3}} + \frac{4}{5} Q_{2345}\lambda_{{4}} - {\frac {4}{15}}Q_{3566}{\lambda_{{4}}}^{3}  \\
\end{align*}

\newpage

\begin{align*}
\textbf{(-23)} \quad Q_{1344} &= \textstyle 6\wp_{{36}}\lambda_{{1}} 
+ \frac{3}{5}\wp_{{36}}\lambda_{{4}}\lambda_{{2}} 
- \frac{1}{10}\wp_{{56}}{\lambda_{{4}}}^{2}\lambda_{{2}} 
+ {\frac {24}{5}}\wp_{{56}}\lambda_{{4}}\lambda_{{1}} 
- 3\wp_{{56}}\lambda_{{3}}\lambda_{{2}} \\
&\quad \textstyle + {\frac {29}{10}}\wp_{{36}}{\lambda_{{4}}}^{2}\lambda_{{3}} 
+ \wp_{{36}}{\lambda_{{3}}}^{2} 
+ \frac{2}{5} Q_{2566}\lambda_{{4}}\lambda_{{3}} 
- \frac{3}{4} Q_{3556}\lambda_{{4}}\lambda_{{3}} 
- 2 Q_{1246} \\
&\quad \textstyle + 10\wp_{{56}}\lambda_{{0}} 
+ \frac{1}{20} Q_{2566}{\lambda_{{4}}}^{3} 
+ \frac{1}{2} Q_{2445}\lambda_{{3}} 
- \frac{3}{2} Q_{2366}\lambda_{{3}}  \\
&\quad \textstyle - \frac{3}{4} Q_{2366}{\lambda_{{4}}}^{2} 
- \frac{4}{5} Q_{2344}\lambda_{{4}} 
- \frac{1}{10} Q_{2245}\lambda_{{4}} 
+ \frac{1}{20} Q_{2445}{\lambda_{{4}}}^{2} \\
\textbf{(-23)} \quad Q_{2225} &= \textstyle 24\wp_{{36}}\lambda_{{1}} 
- {\frac {36}{5}}\wp_{{36}}\lambda_{{4}}\lambda_{{2}} 
+ \frac{6}{5}\wp_{{56}}{\lambda_{{4}}}^{2}\lambda_{{2}} 
+ {\frac {52}{5}}\wp_{{56}}\lambda_{{4}}\lambda_{{1}} 
- 7\wp_{{56}}\lambda_{{3}}\lambda_{{2}} \\
&\quad \textstyle + 3 Q_{3556}\lambda_{{2}}  
- 3\wp_{{36}}{\lambda_{{3}}}^{2} 
+ {\frac {27}{10}} Q_{2566}\lambda_{{4}}\lambda_{{3}} 
- 3 Q_{3556}\lambda_{{4}}\lambda_{{3}}  \\
&\quad \textstyle + {\frac {66}{5}}\wp_{{36}}{\lambda_{{4}}}^{2}\lambda_{{3}} 
- 6 Q_{1246} + 20\wp_{{56}}\lambda_{{0}} 
- \frac{3}{5} Q_{2566}{\lambda_{{4}}}^{3} 
+ \frac{3}{2} Q_{2445}\lambda_{{3}}  \\
&\quad \textstyle - \frac{3}{5} Q_{2445}{\lambda_{{4}}}^{2} 
- 3 Q_{2366}{\lambda_{{4}}}^{2} 
- \frac{3}{2} Q_{2366}\lambda_{{3}}
- {\frac {12}{5}} Q_{2344}\lambda_{{4}} \\
&\quad \textstyle  - 3 Q_{2566}\lambda_{{2}}
+ \frac{6}{5} Q_{2245}\lambda_{{4}} \\
\textbf{(-23)} \quad Q_{2234} &= \textstyle  - 4\wp_{{36}}\lambda_{{1}} 
+ {\frac {14}{5}}\wp_{{36}}\lambda_{{4}}\lambda_{{2}} 
+ \frac{8}{5}\wp_{{56}}{\lambda_{{4}}}^{2}\lambda_{{2}} 
- {\frac {28}{5}}\wp_{{56}}\lambda_{{4}}\lambda_{{1}} 
+ \frac{3}{2}\wp_{{56}}\lambda_{{3}}\lambda_{{2}} \\
&\quad \textstyle  - {\frac {29}{5}}\wp_{{36}}{\lambda_{{4}}}^{2}\lambda_{{3}} 
- \frac{1}{2}\wp_{{36}}{\lambda_{{3}}}^{2} 
- \frac{1}{20} Q_{2566}\lambda_{{4}}\lambda_{{3}} 
+ \frac{3}{2} Q_{3556}\lambda_{{4}}\lambda_{{3}}  \\
&\quad \textstyle  + 2 Q_{1246} 
- \frac{1}{10} Q_{2566}{\lambda_{{4}}}^{3} 
- \frac{1}{4} Q_{2445}\lambda_{{3}} 
+ \frac{3}{4} Q_{2366}\lambda_{{3}} 
- \frac{1}{10} Q_{2445}{\lambda_{{4}}}^{2} \\
&\quad \textstyle  + \frac{3}{2} Q_{2366}{\lambda_{{4}}}^{2} 
+ \frac{8}{5} Q_{2344}\lambda_{{4}} 
+ \frac{8}{5} Q_{2245}\lambda_{{4}}
- \frac{3}{2} Q_{3556}\lambda_{{2}} \\
\textbf{(-24)} \quad Q_{1336} &= \wp_{{35}}\lambda_{{1}} - 2\wp_{{26}}\lambda_{{1}} + 4\wp_{{46}}\lambda_{{0}} 
- 3\wp_{{55}}\lambda_{{0}} + 4\wp_{{16}}\lambda_{{2}} - Q_{1166} \\
\textbf{(-24)} \quad Q_{3333} &= - 256\wp_{{16}}{\lambda_{{4}}}^{3}
- 50\wp_{{35}}\lambda_{{1}} 
+ 16\wp_{{16}}\lambda_{{4}}\lambda_{{3}} 
- 72\wp_{{55}}\lambda_{{4}}\lambda_{{1}}
- 32\lambda_{{3}}\lambda_{{1}}  \\
&\quad \textstyle + 4\wp_{{33}}\lambda_{{2}}
 + 48\wp_{{46}}\lambda_{{4}}\lambda_{{1}} 
- 64{\lambda_{{4}}}^{2}\lambda_{{1}} 
+ 6Q_{1166}-36 Q_{1266}\lambda_{{4}} \\
&\quad \textstyle + 72\wp_{{46}}\lambda_{{0}}-72 Q_{1356}\lambda_{{4}}-54\wp_{{55}}\lambda_{{0}}
+ 16Q_{1444}\lambda_{{4}}
+ 48Q_{1556}{\lambda_{{4}}}^{2} \\
&\quad \textstyle + 24Q_{1466}\lambda_{{3}}
+ 12 Q_{1244} +36\wp_{{26}}\lambda_{{1}}
+ 48Q_{1466}{\lambda_{{4}}}^{2}+24 Q_{1556}\lambda_{{3}} \\
\textbf{(-24)} \quad Q_{2224} &= \textstyle 6{\lambda_{{2}}}^{2} - 6 Q_{1244} 
- 3\wp_{{26}}{\lambda_{{3}}}^{2} - 40\wp_{{46}}\lambda_{{0}} + 9\wp_{{33}}\lambda_{{2}} 
+ 18\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle + 48{\lambda_{{4}}}^{2}\lambda_{{1}} + 192\wp_{{16}}{\lambda_{{4}}}^{3} 
- \frac{9}{2}\wp_{{35}}{\lambda_{{3}}}^{2} + 3 Q_{2356}\lambda_{{3}} + 24 Q_{1266}\lambda_{{4}} \\
&\quad \textstyle  - 24\wp_{{26}}\lambda_{{1}} + 48 Q_{1356}\lambda_{{4}} - 12 Q_{1444}\lambda_{{4}} 
- 12\wp_{{16}}\lambda_{{2}} - 36 Q_{1556}{\lambda_{{4}}}^{2} \\
&\quad \textstyle  - 15Q_{1466}\lambda_{{3}} + 36\wp_{{35}}\lambda_{{1}} - 36 Q_{1466}{\lambda_{{4}}}^{2} 
+ 3 Q_{3456}\lambda_{{2}} + \frac{3}{2} Q_{2266}\lambda_{{3}} \\
&\quad \textstyle  - 15 Q_{1556}\lambda_{{3}} + \frac{3}{2} Q_{2556}\lambda_{{2}} 
+ 30\wp_{{55}}\lambda_{{0}} + 54\wp_{{55}}\lambda_{{4}}\lambda_{{1}} - 24\wp_{{16}}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle  + 2\wp_{{46}}\lambda_{{3}}\lambda_{{2}} + \frac{3}{2}\wp_{{55}}\lambda_{{3}}\lambda_{{2}} 
- 40\wp_{{46}}\lambda_{{4}}\lambda_{{1}} \\
\textbf{(-25)} \quad Q_{1236} &= \textstyle 2\wp_{{15}}\lambda_{{2}} + \frac{4}{3}\wp_{{34}}\lambda_{{1}} 
- 3\wp_{{45}}\lambda_{{0}} - \wp_{{25}}\lambda_{{1}} + \frac{1}{3}\wp_{{45}}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle - \frac{1}{2}Q_{1156} - \frac{1}{12}Q_{4555}\lambda_{{1}} \\
\textbf{(-25)} \quad Q_{1335} &= \textstyle 4\wp_{{15}}\lambda_{{2}} + \frac{4}{3}\wp_{{34}}\lambda_{{1}} 
- 2\wp_{{45}}\lambda_{{0}} - 2\wp_{{25}}\lambda_{{1}} - \frac{2}{3}\wp_{{45}}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle - Q_{1156} + \frac{1}{6} Q_{4555}\lambda_{{1}}  \\
\textbf{(-25)} \quad Q_{2333} &= \textstyle 4\wp_{{34}}\lambda_{{1}} + 4\wp_{{23}}\lambda_{{2}} 
- 6\wp_{{45}}\lambda_{{0}} - 2\wp_{{25}}\lambda_{{1}} - 2\wp_{{45}}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle  + 3Q_{1156} + \frac{1}{2}Q_{4555}\lambda_{{1}} \\
\end{align*}

\newpage

\begin{align*}
\textbf{(-26)} \quad Q_{1235} &= \textstyle \frac{4}{3}\wp_{{66}}\lambda_{{3}}\lambda_{{1}} 
+ 8\wp_{{66}}\lambda_{{4}}\lambda_{{0}} - \frac{4}{3}\wp_{{24}}\lambda_{{1}} - 8\wp_{{44}}\lambda_{{0}} 
- \frac{1}{2} Q_{1155} \\
&\quad \textstyle - \frac{1}{6} Q_{5566}\lambda_{{4}}\lambda_{{1}} + \frac{1}{3}Q_{3566}\lambda_{{4}}\lambda_{{2}} 
- \frac{5}{2} Q_{5566}\lambda_{{0}} + \frac{8}{3}\wp_{{14}}\lambda_{{2}}  \\
&\quad \textstyle - \frac{2}{3}Q_{3366}\lambda_{{2}} - \frac{2}{3} Q_{3566}\lambda_{{1}} 
+ \frac{1}{3} Q_{3445}\lambda_{{2}} - \frac{1}{6} Q_{4455}\lambda_{{1}} \\
\textbf{(-26)} \quad Q_{1226} &= \textstyle \frac{8}{5}\wp_{{14}}\lambda_{{4}}\lambda_{{3}} 
+ \frac{2}{15}\wp_{{66}}\lambda_{{3}}\lambda_{{1}} - 6\wp_{{66}}\lambda_{{4}}\lambda_{{0}} 
+ \frac{2}{3}\wp_{{24}}\lambda_{{1}} + 2\wp_{{44}}\lambda_{{0}} \\
&\quad \textstyle + \frac{1}{3} Q_{5566}\lambda_{{4}}\lambda_{{1}} - \frac{1}{10} Q_{3366}\lambda_{{4}}\lambda_{{3}} 
+ \frac{1}{5}Q_{3445}\lambda_{{4}}\lambda_{{3}} + \frac{1}{5} Q_{3566}{\lambda_{{4}}}^{2}\lambda_{{3}} \\
&\quad \textstyle - \frac{1}{6} Q_{3566}\lambda_{{4}}\lambda_{{2}} + \frac{5}{2} Q_{5566}\lambda_{{0}} 
+ \frac{8}{3}\wp_{{14}}\lambda_{{2}} - \frac{6}{5}\wp_{{12}}\lambda_{{3}} - \frac{3}{10} Q_{3344}\lambda_{{3}} \\
&\quad \textstyle + \frac{1}{3} Q_{4455}\lambda_{{1}} + \frac{1}{3} Q_{3366}\lambda_{{2}} 
+ {\frac {11}{6}} Q_{3566}\lambda_{{1}} - \frac{1}{6} Q_{3445}\lambda_{{2}} -  Q_{1146} \\
&\quad \textstyle - \frac{3}{5} Q_{3566}{\lambda_{{3}}}^{2} - \frac{3}{5} Q_{2345}\lambda_{{3}} \\
\textbf{(-26)} \quad Q_{2233} &= \textstyle  - {\frac {16}{5}}\wp_{{14}}\lambda_{{4}}\lambda_{{3}} 
- {\frac {64}{15}}\wp_{{66}}\lambda_{{3}}\lambda_{{1}} + 4\wp_{{66}}\lambda_{{4}}\lambda_{{0}} 
- \frac{4}{3}\wp_{{24}}\lambda_{{1}} - 4\wp_{{44}}\lambda_{{0}} \\
&\quad \textstyle + Q_{1155} + \frac{1}{3} Q_{5566}\lambda_{{4}}\lambda_{{1}} 
+ \frac{1}{5} Q_{3366}\lambda_{{4}}\lambda_{{3}} - \frac{2}{5} Q_{3445}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle - \frac{2}{5} Q_{3566}{\lambda_{{4}}}^{2}\lambda_{{3}} 
- \frac{2}{3} Q_{3566}\lambda_{{4}}\lambda_{{2}} + \frac{8}{3}\wp_{{14}}\lambda_{{2}} 
- 8\wp_{{11}}\lambda_{{4}} + {\frac {32}{5}}\wp_{{12}}\lambda_{{3}} \\
&\quad \textstyle + \frac{3}{5} Q_{3344}\lambda_{{3}} + \frac{1}{3} Q_{4455}\lambda_{{1}} 
+ \frac{1}{3} Q_{3366}\lambda_{{2}} - \frac{5}{3} Q_{3566}\lambda_{{1}} - \frac{2}{3} Q_{3445}
\lambda_{{2}} \\
&\quad \textstyle + 2 Q_{1146} + \frac{6}{5} Q_{3566}{\lambda_{{3}}}^{2} + \frac{6}{5}Q_{2345}\lambda_{{3}} \\
\textbf{(-26)} \quad Q_{1334} &= \textstyle  - 2\wp_{{66}}\lambda_{{4}}\lambda_{{0}} - 2\wp_{{24}}\lambda_{{1}} + 6\wp
_{{44}}\lambda_{{0}} + 4\wp_{{14}}\lambda_{{2}} -  Q_{1146} \\
&\quad \textstyle - \frac{1}{2}Q_{3566}\lambda_{{1}} + \frac{5}{2} Q_{5566}\lambda_{{0}} \\
\textbf{(-27)} \quad  Q_{1225} &= \textstyle  - {\frac {13}{10}}\wp_{{36}}\lambda_{{3}}\lambda_{{2}} 
+ {\frac {33}{10}}\wp_{{36}}\lambda_{{4}}{\lambda_{{3}}}^{2} + 2\wp_{{56}}\lambda_{{4}}\lambda_{{0}} 
+ \frac{8}{5}\wp_{{56}}\lambda_{{3}}\lambda_{{1}} - \frac{3}{2}\wp_{{56}}{\lambda_{{2}}}^{2} \\
&\quad \textstyle  + \frac{1}{4} Q_{2566}\lambda_{{4}}\lambda_{{2}} 
- {\frac {3}{20}} Q_{2445}\lambda_{{4}}\lambda_{{3}} - {\frac {3}{20}} Q_{2566}{\lambda_{{4}}}^{2}\lambda_{{3}} 
- \frac{3}{4} Q_{2366}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle -  Q_{1145} + \frac{3}{2} Q_{3556}\lambda_{{1}} - \frac{3}{4} Q_{2366}\lambda_{{2}} 
- \frac{3}{5} Q_{2344}\lambda_{{3}} + \frac{1}{4} Q_{2445}\lambda_{{2}} \\
&\quad \textstyle + \frac{3}{10} Q_{2245}\lambda_{{3}} - \frac{3}{4} Q_{3556}{\lambda_{{3}}}^{2} 
-  Q_{2566}\lambda_{{1}}   + \frac{3}{10} Q_{2566}{\lambda_{{3}}}^{2} \\
&\quad \textstyle + \frac{3}{10}\wp_{{56}}\lambda_{{4}}\lambda_{{3}}\lambda_{{2}}  + 10\wp_{{36}}\lambda_{{0}}  \\
\textbf{(-27)} \quad Q_{1234} &= \textstyle  \frac{1}{2}\wp_{{36}}\lambda_{{3}}\lambda_{{2}} 
+ 3\wp_{{56}}\lambda_{{4}}\lambda_{{0}} + \frac{1}{4} Q_{2566}\lambda_{{4}}\lambda_{{2}} 
- \frac{1}{2} Q_{1145} - \frac{3}{4} Q_{3556}\lambda_{{1}} \\
&\quad \textstyle - \frac{3}{4} Q_{2366}\lambda_{{2}} + \frac{1}{4} Q_{2445}\lambda_{{2}} 
+ 2\wp_{{36}}\lambda_{{4}}\lambda_{{1}} + \frac{1}{2} Q_{2566}\lambda_{{1}} 
- \frac{3}{2}\wp_{{56}}{\lambda_{{2}}}^{2} \\
&\quad \textstyle + 5\wp_{{36}}\lambda_{{0}} \\
\textbf{(-27)} \quad  Q_{2223} &= \textstyle  - {\frac {38}{5}}\wp_{{36}}\lambda_{{3}}\lambda_{{2}} 
- {\frac {27}{5}}\wp_{{36}}\lambda_{{4}}{\lambda_{{3}}}^{2} 
+ 6\wp_{{56}}\lambda_{{4}}\lambda_{{0}} - {\frac {24}{5}}\wp_{{56}}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle + \frac{3}{5}\wp_{{56}}\lambda_{{4}}\lambda_{{3}}\lambda_{{2}} 
- \frac{3}{10} Q_{2445}\lambda_{{4}}\lambda_{{3}} - \frac{3}{10} Q_{2566}{\lambda_{{4}}}^{2}\lambda_{{3}} 
+ \frac{3}{2} Q_{2366}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle + 3 Q_{1145} - \frac{3}{2} Q_{3556}\lambda_{{1}} + 3 Q_{2366}\lambda_{{2}} 
+ \frac{9}{5} Q_{2344}\lambda_{{3}} + \frac{3}{5} Q_{2566}{\lambda_{{3}}}^{2} \\
&\quad \textstyle + \frac{3}{5} Q_{2245}\lambda_{{3}} + 8\wp_{{36}}\lambda_{{4}}\lambda_{{1}} 
+ \frac{3}{2} Q_{3556}{\lambda_{{3}}}^{2} - 3 Q_{2566}\lambda_{{1}} - 10\wp_{{36}}\lambda_{{0}} \\
\textbf{(-28)} \quad Q_{1224} &= \textstyle 12\lambda_{{4}}\lambda_{{3}}\lambda_{{1}} 
- 3 Q_{1444}\lambda_{{3}} - 8\wp_{{46}}\lambda_{{3}}\lambda_{{1}} + 48\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{3}} 
+ 16\wp_{{16}}\lambda_{{4}}\lambda_{{2}} \\
&\quad \textstyle + 3\wp_{{35}}\lambda_{{4}}\lambda_{{1}} - 2\wp_{{26}}\lambda_{{4}}\lambda_{{1}} 
+ 3\wp_{{55}}\lambda_{{4}}\lambda_{{0}} - 4\wp_{{46}}\lambda_{{4}}\lambda_{{0}} 
+ 12\wp_{{55}}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle - 3 Q_{1466}\lambda_{{2}} + 6 Q_{1266}\lambda_{{3}} + 6\lambda_{{2}}\lambda_{{1}} 
- 9Q_{1556}\lambda_{{4}}\lambda_{{3}} - 9 Q_{1466}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle - 24\wp_{{16}}{\lambda_{{3}}}^{2} + 3\wp_{{33}}\lambda_{{1}} + 15\wp_{{35}}\lambda_{{0}} 
+ 12 Q_{1356}\lambda_{{3}} - 10\wp_{{26}}\lambda_{{0}} \\
&\quad \textstyle - 4\wp_{{16}}\lambda_{{1}} -  Q_{1155} - 3 Q_{1556}\lambda_{{2}} 
\end{align*}

\newpage

\begin{align*}
\textbf{(-28)} \quad Q_{2222} &= \textstyle + 6 Q_{2266}\lambda_{{2}} 
+ 16\lambda_{{4}}\lambda_{{3}}\lambda_{{1}} + 42\wp_{{35}}\lambda_{{4}}\lambda_{{1}} 
+ 12\wp_{{33}}\lambda_{{4}}\lambda_{{2}} - 30\wp_{{35}}\lambda_{{0}} \\
&\quad \textstyle - 72\wp_{{46}}\lambda_{{4}}\lambda_{{0}} - 48\wp_{{16}}\lambda_{{4}}\lambda_{{2}} 
- 12 Q_{1556}\lambda_{{4}}\lambda_{{3}} + 72\wp_{{55}}{\lambda_{{4}}}^{2}\lambda_{{1}} \\
&\quad \textstyle - 16\wp_{{26}}\lambda_{{3}}\lambda_{{2}} - 28\wp_{{26}}\lambda_{{4}}\lambda_{{1}} 
- 12 Q_{1466}\lambda_{{4}}\lambda_{{3}} - 48\wp_{{46}}{\lambda_{{4}}}^{2}\lambda_{{1}} \\
&\quad \textstyle - 12\wp_{{35}}\lambda_{{3}}\lambda_{{2}} - 80\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{3}} 
- 12 Q_{1244}\lambda_{{4}} + 6 Q_{1144} - 3\wp_{{33}}{\lambda_{{3}}}^{2} \\
&\quad \textstyle + 64{\lambda_{{4}}}^{3}\lambda_{{1}} + 256\wp_{{16}}{\lambda_{{4}}}^{4} 
+ 3\wp_{{55}}{\lambda_{{2}}}^{2} + 8\lambda_{{4}}{\lambda_{{2}}}^{2} + 36 Q_{1266}{\lambda_{{4}}}^{2}  \\
&\quad \textstyle - 12\wp_{{55}}\lambda_{{3}}\lambda_{{1}}  + 12 Q_{2356}\lambda_{{2}}  
- 48 Q_{1466}{\lambda_{{4}}}^{3} - 16 Q_{1444}{\lambda_{{4}}}^{2}  \\
&\quad \textstyle + 72 Q_{1356}{\lambda_{{4}}}^{2} - 48 Q_{1556}{\lambda_{{4}}}^{3} 
- 6 Q_{2556}\lambda_{{1}} + 12\wp_{{46}}{\lambda_{{2}}}^{2}  - 2{\lambda_{{3}}}^{2}\lambda_{{2}} \\
&\quad \textstyle - 12 Q_{1266}\lambda_{{3}} + 4\lambda_{{2}}\lambda_{{1}} + 52\wp_{{16}}{\lambda_{{3}}}^{2} 
+ 18\wp_{{33}}\lambda_{{1}} + 54\wp_{{55}}\lambda_{{4}}\lambda_{{0}} \\
&\quad \textstyle - 24 Q_{1356}\lambda_{{3}} + 20\wp_{{26}}\lambda_{{0}} - 24\wp_{{16}}\lambda_{{1}}
+ 4 Q_{1444}\lambda_{{3}} + 12 Q_{3456}\lambda_{{1}}  \\
\textbf{(-29)} \quad Q_{1136} &= \textstyle  - 4\wp_{{25}}\lambda_{{0}} 
+ \frac{2}{3}\wp_{{45}}\lambda_{{4}}\lambda_{{0}} + 2\wp_{{15}}\lambda_{{1}} 
+ \frac{8}{3}\wp_{{34}}\lambda_{{0}} - \frac{1}{6} Q_{4555}\lambda_{{0}} \\
\textbf{(-29)} \quad Q_{1333} &= \textstyle  4\wp_{{13}}\lambda_{{2}} - 12\wp_{{25}}\lambda_{{0}}  - 4\wp_{{45}}
\lambda_{{4}}\lambda_{{0}} + 4\wp_{{15}}\lambda_{{1}} + 8\wp_{{34}}
\lambda_{{0}} +  Q_{4555}\lambda_{{0}} \\
\textbf{(-30)} \quad Q_{1126} &= \textstyle {\frac {16}{15}}\wp_{{14}}\lambda_{{4}}\lambda_{{2}} 
+ \frac{6}{5}\wp_{{66}}\lambda_{{2}}\lambda_{{1}} - 4\wp_{{66}}\lambda_{{3}}\lambda_{{0}} 
+ \frac{1}{2} Q_{5566}\lambda_{{4}}\lambda_{{0}}  \\
&\quad \textstyle + \frac{1}{6} Q_{3566}\lambda_{{4}}\lambda_{{1}} + \frac{2}{15} Q_{3445}\lambda_{{4}}\lambda_{{2}} 
+ \frac{2}{15} Q_{3566}{\lambda_{{4}}}^{2}\lambda_{{2}} - \frac{2}{5} Q_{3566}\lambda_{{3}}\lambda_{{2}} \\
&\quad \textstyle + \frac{1}{6} Q_{3445}\lambda_{{1}} + \frac{4}{3}\wp_{{14}}\lambda_{{1}} 
- \frac{4}{5}\wp_{{12}}\lambda_{{2}} + \frac{1}{2} Q_{4455}\lambda_{{0}} - \frac{1}{5} Q_{3344}\lambda_{{2}} \\
&\quad \textstyle - \frac{3}{5} Q_{3566}\lambda_{{0}} + \frac{1}{6} Q_{3366}\lambda_{{1}} 
- \frac{2}{5} Q_{2345}\lambda_{{2}} - \frac{1}{15} Q_{3366}\lambda_{{4}}\lambda_{{2}} \\
\textbf{(-30)} \quad Q_{1135} &= \textstyle \frac{16}{3}\wp_{{66}}\lambda_{{3}}\lambda_{{0}} 
- \frac{16}{3}\wp_{{24}}\lambda_{{0}} - \frac{2}{3} Q_{5566}\lambda_{{4}}\lambda_{{0}} 
+ \frac{1}{3} Q_{3566}\lambda_{{4}}\lambda_{{1}}  \\
&\quad \textstyle + \frac{8}{3}\wp_{{14}}\lambda_{{1}} + \frac{1}{3} Q_{3445}\lambda_{{1}}
- \frac{2}{3} Q_{4455}\lambda_{{0}} 
- \frac{5}{3} Q_{3566}\lambda_{{0}} - \frac{2}{3} Q_{3366}\lambda_{{1}} \\
\textbf{(-30)} \quad Q_{1233} &= \textstyle  - {\frac {16}{15}}\wp_{{14}}\lambda_{{4}}\lambda_{{2}} 
- \frac{6}{5}\wp_{{66}}\lambda_{{2}}\lambda_{{1}} + \frac{10}{3}\wp_{{66}}\lambda_{{3}}\lambda_{{0}} 
- \frac{16}{3}\wp_{{24}}\lambda_{{0}} + \frac{16}{3}\wp_{{14}}\lambda_{{1}}  \\
&\quad \textstyle + \frac{1}{15} Q_{3366}\lambda_{{4}}\lambda_{{2}} - \frac{1}{3} Q_{3566}\lambda_{{4}}\lambda_{{1}} 
- \frac{2}{15} Q_{3445}\lambda_{{4}}\lambda_{{2}} - \frac{2}{15} Q_{3566}{\lambda_{{4}}}^{2}\lambda_{{2}} \\
&\quad \textstyle + \frac{2}{5} Q_{2345}\lambda_{{2}}  - 2\wp_{{11}}\lambda_{{3}} 
+ {\frac {24}{5}}\wp_{{12}}\lambda_{{2}}- 2\wp_{{22}}\lambda_{{1}} - \frac{1}{3} Q_{3445}\lambda_{{1}} \\
&\quad \textstyle + \frac{2}{5} Q_{3566}\lambda_{{3}}\lambda_{{2}}  + \frac{1}{3} Q_{4455}\lambda_{{0}} 
+ \frac{1}{5} Q_{3344}\lambda_{{2}} - \frac{5}{3} Q_{3566}\lambda_{{0}}  \\
&\quad \textstyle - \frac{1}{3} Q_{3366}\lambda_{{1}} + \frac{1}{3} Q_{5566}\lambda_{{4}}\lambda_{{0}} \\
\textbf{(-31)} \quad Q_{1125} &= \textstyle 2\wp_{{36}}\lambda_{{3}}\lambda_{{1}} 
+ {\frac {11}{5}}\wp_{{36}}\lambda_{{4}}\lambda_{{3}}\lambda_{{2}} - \frac{1}{2} Q_{2366}\lambda_{{4}}\lambda_{{2}} 
+ \frac{1}{5} Q_{2566}\lambda_{{3}}\lambda_{{2}} \\
&\quad \textstyle - \frac{1}{2} Q_{3556}\lambda_{{3}}\lambda_{{2}} - \frac{1}{10} Q_{2566}{\lambda_{{4}}}^
{2}\lambda_{{2}} - \frac{1}{10} Q_{2445}\lambda_{{4}}\lambda_{{2}} + 2 Q_{3556}\lambda_{{0}} \\
&\quad \textstyle + \frac{1}{5} Q_{2245}\lambda_{{2}} + \frac{1}{5}\wp_{{56}}\lambda_{{4}}{\lambda_{{2}}}^{2} 
-  Q_{2366}\lambda_{{1}} - Q_{2566}\lambda_{{0}} - \frac{2}{5} Q_{2344}\lambda_{{2}} \\
&\quad \textstyle + \frac{2}{5}\wp_{{56}}\lambda_{{2}}\lambda_{{1}} - \frac{6}{5}\wp_{{36}}{\lambda_{{2}}}^{2} \\
\textbf{(-31)} \quad Q_{1223} &= \textstyle \frac{1}{2} Q_{2445}\lambda_{{1}} 
 - \frac{9}{5}\wp_{{36}}{\lambda_{{2}}}^{2} 
 - {\frac {3}{20}} Q_{2566}{\lambda_{{4}}}^{2}\lambda_{{2}} 
 + \frac{1}{4} Q_{2366}\lambda_{{4}}\lambda_{{2}}   \\
&\quad \textstyle  + \frac{1}{4} Q_{3556}\lambda_{{3}}\lambda_{{2}} + \frac{3}{10} Q_{2566}\lambda_{{3}}\lambda_{{2}} 
- {\frac {7}{10}}\wp_{{36}}\lambda_{{4}}\lambda_{{3}}\lambda_{{2}} 
+ \frac{3}{10} Q_{2245}\lambda_{{2}}  \\
&\quad \textstyle + \frac{1}{2} Q_{2366}\lambda_{{1}} + 6\wp_{{56}}\lambda_{{3}}\lambda_{{0}} 
-  Q_{3556}\lambda_{{0}} - {\frac {3}{20}} Q_{2445}\lambda_{{4}}\lambda_{{2}}    \\
&\quad \textstyle  + \frac{1}{2} Q_{2566}\lambda_{{4}}\lambda_{{1}} 
- 2 Q_{2566}\lambda_{{0}} + \frac{2}{5} Q_{2344}\lambda_{{2}} 
- {\frac {27}{5}}\wp_{{56}}\lambda_{{2}}\lambda_{{1}} \\
&\quad \textstyle + 8\wp_{{36}}\lambda_{{4}}\lambda_{{0}} - \wp_{{36}}\lambda_{{3}}\lambda_{{1}} 
 + \frac{3}{10}\wp_{{56}}\lambda_{{4}}{\lambda_{{2}}}^{2} \\
\end{align*}

\newpage

\begin{align*}
\textbf{(-31)} \quad Q_{1134} &= \textstyle \frac{1}{4}\lambda_{{4}}\lambda_{{1}}\wp_{{2566}}  
+ 4\wp_{{36}}\lambda_{{4}}\lambda_{{0}} - \frac{3}{4} Q_{2366}\lambda_{{1}} 
- \frac{3}{2}\wp_{{56}}\lambda_{{2}}\lambda_{{1}} + 2 Q_{2566}\lambda_{{0}} \\
&\quad \textstyle + \frac{1}{2}\wp_{{36}}\lambda_{{3}}\lambda_{{1}}
- \frac{1}{2}\lambda_{{4}}\lambda_{{1}}\wp_{{25}}\wp_{{66}}  + \frac{1}{4} Q_{2445}\lambda_{{1}}
 - \frac{3}{2} Q_{3556}\lambda_{{0}} \\
&\quad \textstyle - \lambda_{{4}}\lambda_{{1}}\wp_{{26}}\wp_{{56}}  \\
\textbf{(-32)} \quad Q_{1124} &= \textstyle 2{\lambda_{{1}}}^{2} + \wp_{{26}}\lambda_{{3}}\lambda_{{1}} 
- 6 Q_{1466}\lambda_{{4}}\lambda_{{2}} - 6 Q_{1556}\lambda_{{4}}\lambda_{{2}} 
+ 6\wp_{{35}}\lambda_{{4}}\lambda_{{0}} \\
&\quad \textstyle + \frac{15}{2}\wp_{{55}}\lambda_{{2}}\lambda_{{1}} + 8\lambda_{{4}}\lambda_{{2}}\lambda_{{1}} 
- 16\wp_{{16}}\lambda_{{3}}\lambda_{{2}} + 32\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{2}} - 4\wp_{{16}}\lambda_{{0}} \\
&\quad \textstyle + \frac{3}{2}\wp_{{35}}\lambda_{{3}}\lambda_{{1}} - 6\wp_{{46}}\lambda_{{2}}\lambda_{{1}} - 4\wp
_{{26}}\lambda_{{4}}\lambda_{{0}} + \frac{1}{2} Q_{2556}\lambda_{{0}} + 8\wp_{{16}}\lambda_{{4}}\lambda_{{1}}  \\
&\quad \textstyle -  Q_{1556}\lambda_{{1}} -  Q_{2356}\lambda_{{1}} -  Q_{3456}\lambda_{{0}} 
+ 2\lambda_{{2}}\lambda_{{0}} + 4 Q_{1266}\lambda_{{2}}  \\
&\quad \textstyle + 8 Q_{1356}\lambda_{{2}} - \frac{1}{2} Q_{2266}\lambda_{{1}} 
+ 3\wp_{{33}}\lambda_{{0}} -  Q_{1466}\lambda_{{1}} - 2 Q_{1444}\lambda_{{2}} \\
\textbf{(-32)} \quad Q_{1222} &= \textstyle 4{\lambda_{{1}}}^{2} - 18\wp_{{26}}\lambda_{{3}}\lambda_{{1}} 
- 6 Q_{1466}\lambda_{{4}}\lambda_{{2}} - 6 Q_{1556}\lambda_{{4}}\lambda_{{2}} + 9\wp_{{55}}\lambda_{{2}}\lambda_{{1}} \\
&\quad \textstyle + 12\lambda_{{4}}\lambda_{{2}}\lambda_{{1}} - 12\wp_{{16}}\lambda_{{3}}\lambda_{{2}} 
+ 32\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{2}} + 8\wp_{{16}}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle + 64\wp_{{16}}{\lambda_{{4}}}^{3}\lambda_{{3}} - 4\wp_{{16}}\lambda_{{4}}{\lambda_{{3}}}^{2} 
+ 18 Q_{1356}\lambda_{{4}}\lambda_{{3}} + 9 Q_{1266}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle - 24\wp_{{46}}\lambda_{{3}}\lambda_{{0}} 
+ 18\wp_{{55}}\lambda_{{3}}\lambda_{{0}} + 16{\lambda_{{4}}}^{2}\lambda_{{3}}\lambda_{{1}} 
- 4 Q_{1444}\lambda_{{4}}\lambda_{{3}} \\
&\quad \textstyle - 12 Q_{1466}{\lambda_{{4}}}^{2}\lambda_{{3}} - 12 Q_{1556}{\lambda_{{4}}}^{2}\lambda_{{3}} 
+ 6\wp_{{33}}\lambda_{{4}}\lambda_{{1}} - 12\wp_{{46}}\lambda_{{4}}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle + 18\wp_{{55}}\lambda_{{4}}\lambda_{{3}}\lambda_{{1}} - 3 Q_{2556}\lambda_{{0}} 
- 16\wp_{{16}}\lambda_{{0}} + 8{\lambda_{{3}}}^{2}\lambda_{{1}} 
- 6 Q_{1556}{\lambda_{{3}}}^{2} \\
&\quad \textstyle - 3 Q_{1244}\lambda_{{3}} - 6 Q_{1466}{\lambda_{{3}}}^{2} - 6 Q_{1556}\lambda_{{1}} 
+ 6 Q_{2356}\lambda_{{1}} + 6 Q_{3456}\lambda_{{0}} \\
&\quad \textstyle + 8\lambda_{{2}}\lambda_{{0}} + 3 Q_{1266}\lambda_{{2}} - 2 Q_{1444}\lambda_{{2}} 
+ 6 Q_{1356}\lambda_{{2}} + 3 Q_{2266}\lambda_{{1}} \\
&\quad \textstyle + 12\wp_{{33}}\lambda_{{0}} - 6 Q_{1466}\lambda_{{1}} + 9\wp_{{35}}\lambda_{{3}}\lambda_{{1}}  \\
\textbf{(-34)} \quad Q_{1116} &= \textstyle  - 4\wp_{{66}}\lambda_{{2}}\lambda_{{0}} 
- \frac{3}{5} Q_{3566}\lambda_{{3}}\lambda_{{1}} + \frac{3}{2} Q_{3566}\lambda_{{4}}\lambda_{{0}} 
- \frac{1}{10}Q_{3366}\lambda_{{4}}\lambda_{{1}} \\
&\quad \textstyle + \frac{1}{5} Q_{3445}\lambda_{{4}}\lambda_{{1}} 
+ \frac{1}{5}Q_{3566}{\lambda_{{4}}}^{2}\lambda_{{1}} 
- \frac{3}{5} Q_{2345}\lambda_{{1}} + {\frac {14}{5}}\wp_{{66}}{\lambda_{{1}}}^{2}  \\
&\quad \textstyle + \frac{3}{2} Q_{3445}\lambda_{{0}} 
- \frac{3}{10} Q_{3344}\lambda_{{1}} - \frac{6}{5}\wp_{{12}}\lambda_{{1}} 
+ \frac{8}{5}\wp_{{14}}\lambda_{{4}}\lambda_{{1}} \\
\textbf{(-34)} \quad Q_{1133} &= \textstyle 8\wp_{{66}}\lambda_{{2}}\lambda_{{0}} 
+ \frac{2}{5} Q_{3566}\lambda_{{3}}\lambda_{{1}} - \frac{2}{3} Q_{3566}\lambda_{{4}}\lambda_{{0}} 
+ \frac{1}{15}Q_{3366}\lambda_{{4}}\lambda_{{1}}  \\
&\quad \textstyle - \frac{2}{15} Q_{3566}{\lambda_{{4}}}^{2}\lambda_{{1}} + \frac{2}{5} Q_{2345}\lambda_{{1}} 
+ {\frac {32}{3}}\wp_{{14}}\lambda_{{0}} - 8\wp_{{22}}\lambda_{{0}} - \frac{5}{3} Q_{3366}\lambda_{{0}} \\
&\quad \textstyle - {\frac {16}{5}}\wp_{{66}}{\lambda_{{1}}}^{2} 
- {\frac {16}{15}}\wp_{{14}}\lambda_{{4}}\lambda_{{1}} - \frac{2}{3} Q_{3445}\lambda_{{0}} 
+ \frac{1}{5} Q_{3344}\lambda_{{1}} + {\frac {24}{5}}\wp_{{12}}\lambda_{{1}} \\
&\quad \textstyle - \frac{2}{15} Q_{3445}\lambda_{{4}}\lambda_{{1}} \\
\textbf{(-35)} \quad Q_{1115} &= \textstyle  - \frac{3}{4} Q_{2445}\lambda_{{0}} 
+ {\frac {33}{10}}\wp_{{36}}\lambda_{{4}}\lambda_{{3}}\lambda_{{1}}
+ \frac{3}{10}\wp_{{56}}\lambda_{{4}}\lambda_{{2}}\lambda_{{1}} 
+ \frac{3}{10} Q_{2566}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle - {\frac {3}{20}} Q_{2566}{\lambda_{{4}}}^{2}\lambda_{{1}} 
- {\frac {3}{20}} Q_{2445}\lambda_{{4}}\lambda_{{1}} - \frac{3}{4} Q_{2366}\lambda_{{4}}\lambda_{{1}} 
- \frac{3}{4} Q_{3556}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle + \frac{3}{4} Q_{2566}\lambda_{{4}}\lambda_{{0}} + 2\frac{1}{2}\wp_{{36}}\lambda_{{3}}\lambda_{{0}} 
+ \frac{1}{2}\wp_{{56}}\lambda_{{2}}\lambda_{{0}} - \frac{3}{5} Q_{2344}\lambda_{{1}} \\
&\quad \textstyle - {\frac {15}{4}} Q_{2366}\lambda_{{0}} + \frac{8}{5}\wp_{{56}}{\lambda_{{1}}}^{2} 
- \frac{9}{5}\wp_{{36}}\lambda_{{2}}\lambda_{{1}} + \frac{3}{10} Q_{2245}\lambda_{{1}} \\
\textbf{(-35)} \quad Q_{1123} &= \textstyle  Q_{2445}\lambda_{{0}}  
+ \frac{2}{5}\wp_{{36}}\lambda_{{4}}\lambda_{{3}}\lambda_{{1}} 
+ \frac{2}{5}\wp_{{56}}\lambda_{{4}}\lambda_{{2}}\lambda_{{1}} + \frac{2}{5}Q_{2566}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle + \frac{3}{10} Q_{2245}\lambda_{{1}} - \frac{1}{5} Q_{2566}{\lambda_{{4}}}^{2}\lambda_{{1}} 
- \frac{1}{5} Q_{2445}\lambda_{{4}}\lambda_{{1}} +  Q_{2566}\lambda_{{4}}\lambda_{{0}} \\
&\quad \textstyle + 2\wp_{{36}}\lambda_{{3}}\lambda_{{0}} - 2\wp_{{56}}\lambda_{{2}}\lambda_{{0}} 
+ \frac{1}{5} Q_{2344}\lambda_{{1}} + \frac{2}{5} Q_{2245}\lambda_{{1}} 
- {\frac {16}{5}}\wp_{{56}}{\lambda_{{1}}}^{2} \\
&\quad \textstyle - {\frac {12}{5}}\wp_{{36}}\lambda_{{2}}\lambda_{{1}} \\
\end{align*}

\newpage

\begin{align*}
\textbf{(-36)} \quad Q_{1114} &= \textstyle 6\wp_{{26}}\lambda_{{3}}\lambda_{{0}} 
- 3\wp_{{55}}\lambda_{{2}}\lambda_{{0}} - 4\wp_{{46}}\lambda_{{2}}\lambda_{{0}} 
+ 48\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{1}} - 24\wp_{{16}}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle + 3 Q_{2266}\lambda_{{0}} + 12 Q_{1356}\lambda_{{1}} + 9\wp_{{35}}\lambda_{{3}}\lambda_{{0}} 
+ 3 Q_{1466}\lambda_{{0}} + 3 Q_{1556}\lambda_{{0}}  \\
&\quad \textstyle + 6 Q_{1266}\lambda_{{1}} - 3 Q_{1444}\lambda_{{1}} - 6 Q_{2356}\lambda_{{0}} 
- 9 Q_{1466}\lambda_{{4}}\lambda_{{1}}  \\
&\quad \textstyle + 12\lambda_{{4}}{\lambda_{{1}}}^{2} - 8\wp_{{46}}{\lambda_{{1}}}^{2} + 12\wp
_{{55}}{\lambda_{{1}}}^{2} - 6\lambda_{{0}}\wp_{{2266}} 
+ 12\lambda_{{0}}\wp_{{22}}\wp_{{66}} \\
&\quad \textstyle + 24\lambda_{{0}}{\wp_{{26}}}^{2} - 9 Q_{1556}\lambda_{{4}}\lambda_{{1}} \\
\textbf{(-36)} \quad Q_{1122} &= \textstyle  - 2 Q_{1244}\lambda_{{2}} + {\frac {40}{3}}\lambda_{{4}}{\lambda_
{{1}}}^{2} - 8 Q_{1556}\lambda_{{0}} + 3 Q_{2266}\lambda_{{0}} + 12 Q_{1356}\lambda_{{1}} \\
&\quad \textstyle  - 8\wp_{{46}}{\lambda_{{1}}}^{2} - 8 Q_{1466}\lambda_{{0}} + 12\wp_{{55}}{\lambda_{{1}}}^{2} 
- \frac{10}{3} Q_{1444}\lambda_{{1}} + 6 Q_{1266}\lambda_{{1}} \\
&\quad \textstyle + 6 Q_{2356}\lambda_{{0}} + \wp_{{33}}\lambda_{{3}}\lambda_{{1}} 
+ {\frac {20}{3}}\lambda_{{1}}\lambda_{{0}} - \frac{8}{3}\wp_{{16}}\lambda_{{4}}\lambda_{{3}}\lambda_{{2}} 
+ {\frac {32}{3}}{\lambda_{{4}}}^{2}\lambda_{{2}}\lambda_{{1}} \\
&\quad \textstyle + \frac{16}{3}\lambda_{{4}}\lambda_{{2}}\lambda_{{0}} + 6\lambda_{{3}}\lambda_{{2}}\lambda_{{1}} 
+ 9\wp_{{35}}\lambda_{{2}}\lambda_{{1}} - \frac{8}{3} Q_{1444}\lambda_{{4}}\lambda_{{2}}  \\
&\quad \textstyle + 8\wp_{{33}}\lambda_{{4}}\lambda_{{0}} 
+ {\frac {128}{3}}\wp_{{16}}{\lambda_{{4}}}^{3}\lambda_{{2}} - 6\wp_{{26}}\lambda_{{2}}\lambda_{{1}} 
- 8 Q_{1556}{\lambda_{{4}}}^{2}\lambda_{{2}} \\
&\quad \textstyle - 8 Q_{1466}{\lambda_{{4}}}^{2}\lambda_{{2}} + 6 Q_{1266}\lambda_{{4}}\lambda_{{2}} 
- 4 Q_{1466}\lambda_{{3}}\lambda_{{2}} + 12 Q_{1356}\lambda_{{4}}\lambda_{{2}} \\
&\quad \textstyle - 4 Q_{1556}\lambda_{{3}}\lambda_{{2}} - 8\wp_{{46}}\lambda_{{4}}\lambda_{{2}}\lambda_{{1}} 
+ 12\wp_{{55}}\lambda_{{4}}\lambda_{{2}}\lambda_{{1}} - 10 Q_{1556}\lambda_{{4}}\lambda_{{1}}  \\
&\quad \textstyle - 10 Q_{1466}\lambda_{{4}}\lambda_{{1}} - {\frac {76}{3}}\wp_{{16}}\lambda_{{3}}\lambda_{{1}} 
- 8\wp_{{46}}\lambda_{{2}}\lambda_{{0}} + {\frac {160}{3}}\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{1}} \\
&\quad \textstyle - 12\wp_{{26}}\lambda_{{3}}\lambda_{{0}} + 12\wp_{{55}}\lambda_{{2}}\lambda_{{0}}
+ 16\wp_{{16}}\lambda_{{4}}\lambda_{{0}} \\
\textbf{(-39)} \quad Q_{1113} &= \textstyle  - 2\wp_{{36}}{\lambda_{{1}}}^{2} 
- \wp_{{36}}\lambda_{{2}}\lambda_{{0}} - \frac{3}{4} Q_{3556}\lambda_{{3}}\lambda_{{0}} 
+ \frac{3}{2} Q_{2566}\lambda_{{3}}\lambda_{{0}} \\
&\quad \textstyle - \frac{3}{4} Q_{2366}\lambda_{{4}}\lambda_{{0}} - \frac{3}{4} Q_{2445}\lambda_{{4}}\lambda_{{0}} 
- 6\wp_{{56}}\lambda_{{1}}\lambda_{{0}} - \frac{3}{4} Q_{2566}{\lambda_{{4}}}^{2}\lambda_{{0}} \\
&\quad \textstyle + \frac{3}{2} Q_{2245}\lambda_{{0}} + \frac{9}{2}\wp_{{36}}\lambda_{{4}}\lambda_{{3}}\lambda_{{0}} 
+ \frac{3}{2}\wp_{{56}}\lambda_{{4}}\lambda_{{2}}\lambda_{{0}} \\
\textbf{(-40)} \quad Q_{1112} &= \textstyle 8\lambda_{{3}}{\lambda_{{1}}}^{2} 
+ 4\lambda_{{3}}\lambda_{{2}}\lambda_{{0}} + 32\lambda_{{4}}\lambda_{{1}}\lambda_{{0}} 
+ 6\wp_{{33}}\lambda_{{3}}\lambda_{{0}} - 68\wp_{{16}}\lambda_{{3}}\lambda_{{0}} \\
&\quad \textstyle + 6\wp_{{35}}\lambda_{{2}}\lambda_{{0}} 
+ 64\wp_{{16}}{\lambda_{{4}}}^{3}\lambda_{{1}} + 128\wp_{{16}}{\lambda_{{4}}}^{2}\lambda_{{0}} 
- 12\wp_{{46}}\lambda_{{4}}{\lambda_{{1}}}^{2} \\
&\quad \textstyle + 42\wp_{{55}}\lambda_{{1}}\lambda_{{0}} - 36\wp_{{46}}\lambda_{{1}}\lambda_{{0}} 
+ 18\wp_{{55}}\lambda_{{4}}{\lambda_{{1}}}^{2} - 4\wp_{{26}}\lambda_{{2}}\lambda_{{0}} \\
&\quad \textstyle + 18Q_{1356}\lambda_{{1}}\lambda_{{4}} - 4Q_{1444}\lambda_{{1}}\lambda_{{4}} 
- 12Q_{1556}{\lambda_{{4}}}^{2}\lambda_{{1}} - 6Q_{1466}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle - 24Q_{1556}\lambda_{{0}}\lambda_{{4}} - 24Q_{1466}\lambda_{{0}}\lambda_{{4}} 
+ 9Q_{1266}\lambda_{{1}}\lambda_{{4}} - 6Q_{1556}\lambda_{{3}}\lambda_{{1}} \\
&\quad \textstyle - 12Q_{1466}{\lambda_{{4}}}^{2}\lambda_{{1}} - 4\wp_{{16}}\lambda_{{4}}\lambda_{{3}}\lambda_{{1}} 
+ 16{\lambda_{{4}}}^{2}{\lambda_{{1}}}^{2} + 30Q_{1356}\lambda_{{0}} \\
&\quad \textstyle - 8Q_{1444}\lambda_{{0}} + 15Q_{1266}\lambda_{{0}} - 3Q_{1244}\lambda_{{1}} 
- 8\wp_{{26}}{\lambda_{{1}}}^{2} + 12\wp_{{35}}{\lambda_{{1}}}^{2}
\end{align*}











\end{document}





