  Found all equivalence classes for electromagnetic potentials and space-time
metrics of Stackel spaces, provided that the equations of motion of the
classical charged test particles are integrated by the method of complete
separation of variables in the Hamilton- Jacobi equation. Separation is carried
out using the complete sets of reciprocal-commuting integrals of motion of type
(2.0), whereby in a privileged coordinate system the Hamilton- Jacobi equation
turns into a nonparabolic type equation.
