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$\begingroup$ Hmm, I seem to be missing some factors of 2. In particular, $e^{\pi \sqrt{232}}$ doesn't need a discussion of powers, but $e^{\pi \sqrt{58}}$ invites a discussion of square roots. Fortunately, $f_{4B}$ is a level 8 modular function whose square is $f_{2A}(2\tau)-24$. I'll fix it later. $\endgroup$
– S. Carnahan ♦
Commented Jul 28, 2010 at 20:11

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