The equations are nonlinear and it seems that sympy is unable to solve
them. Maybe there is a way to instruct sympy how to deal with them but
I do not know how.

However, there is a very big difference between your mathematica code
and your sympy code. In mathematica you are calling `NSolve`, which is
a numeric solver, not a symbolic one. In sympy you are calling
`solve`, which is searching for a general symbolic solution. You
should either use `sympy.nsolve` or something from `scipy`.
`sympy.nsolve` returns only one solution and needs a starting point.

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