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### Trouble verifying modularity properties

Hey all,

I'm having a bit of trouble doing some numerical things with modular forms, and I simply can't figure out where I'm going wrong.

The $j$ function should satisfy $j(\gamma \tau) = j(\tau)$ for every $\tau$ in the upper half plane and every $\gamma\in SL_2(\mathbb{Z})$.

### Trouble verifying modularity properties

Hey all,

I'm having a bit of trouble doing some numerical things with modular forms, and I simply can't figure out where I'm going wrong.