Solution (source code)

= Solution

An electric multipole has radiation <parity> $(-1)^L$ and a magnetic multipole <parity> $(-1)^{L+1}$. The radiation <quantum numbers> are therefore
$$
\boxed{\begin{array}{c|cccccc}
\text{mode}&E1&E2&E3&M1&M2&M3\\\hline
J_\gamma^P&1^-&2^+&3^-&1^+&2^-&3^+
\end{array}.}
$$
Equivalently, an $EL$ transition requires $\pi_f/\pi_i=(-1)^L$, while an $ML$ transition requires $\pi_f/\pi_i=(-1)^{L+1}$.