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\begin{document}
\begin{tabular}{c|c}
$i$ & $f_i(\Omega)$\\
\hline \hline
$1$ & $P^0_{2J-1} Y^0_0$\\ \hline
$2$ & $P^0_{2J\phantom{-1}} Y^0_0$ \\ \hline \hline
$3$ & $P^0_{2J-1} Y^0_2$ \\ \hline
$4$ & $P^0_{2J\phantom{-1}} Y^0_2$  \\ \hline
$5$ & $P^1_{2J-1} \sqrt{2} Re(Y^1_2)$  \\ \hline
$6$ & $P^1_{2J\phantom{-1}} \sqrt{2} Re(Y^1_2)$ \\ \hline
$7$ & $P^1_{2J-1}\sqrt{2} Im(Y^1_2)$  \\ \hline
$8$ & $P^1_{2J\phantom{-1}} \sqrt{2} Im(Y^1_2)$  \\ \hline
$9$ & $P^0_{2J-1}\sqrt{2} Re(Y^2_2)$  \\ \hline
$10$ & $P^0_{2J\phantom{-1}} \sqrt{2} Re(Y^2_2)$  \\ \hline
$11$ & $P^0_{2J-1} \sqrt{2} Im(Y^2_2)$  \\ \hline
$12$ & $P^0_{2J\phantom{-1}}\sqrt{2} Im(Y^2_2)$
\end{tabular}
\end{document}
