@asmeurer: Thanks a lot. The mathematica notebook contains the complete 
method with coefficients. As a matter of fact, most of the coefficients for 
general quintics were so bloody huge (~ 50 lines each 1000 lines total) , 
I'm sure I could never have typed them myself.

So, I converted the .nb file to a txt file and operated a python script on 
it to make the coefficients in a form that are acceptable by SymPy. 
Hopefully, nothing weird will happen.

Anyway, with some luck, I should have a basic implementation in a couple of 
days.

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