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Is there any software which can automatically visualise a non-algebraic complex curve, I mean the structure of it's ramification points and sheet?

I think a good test example would be the Lambert curve $y\exp y =x$ (what I really need is a bit more complicated family of the curves).

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I have found a good and simple paper Graphing Elementary Riemann Surfaces by Robert M. Corless and David J. Jeffrey with an explanation how to use Maple for graphing Riemann surfaces. In particular the Lambert curve is amnong the examples they consider.

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