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Thanks a lot for your detailed answer. I use windows and will try sage via vm even though I do not speak any "python". One point is very interesting

But the good thing is the bugs breaks the calculation explicitly (by saying something is wrong), instead of give you a wrong result.

since some people told me even mathematica isn't perfect and messed up their calculations :)

I would still like to hear some other views or arguments about this topic so I will leave this question open.

Best Regards