# How to compute and display a conformal map in Sage

I am trying to create conformal maps of complex functions, ie something like this:

I have looked over the manuel, but the only thing I can find that is remotely related is the entry on Riemann mappings, which is not what I want. There is an interact that is capable of generating some of the functions I want to display, but it requires entering the functions for x and y manually and would become unmanageable for more complicated functions. Is there a better way to go about this?

Edit: I am using the latest version at time of writing, which is v. 10.0.