# newton’s method to find fixed points of a jacobi theta function

The first is the answer to the question: fix the nome to be $e^{-pi}$, what does Newton’s
method to find the fixed point of $\theta_{3}(z,e^{-\pi})$ produce on the z-plane?

The second is the answer to the question fix $z=0$. Perform Newton’s method on z on the $q$-plane to find the fixed point.