Let A and B be complex algebraic numbers. Compute Arg(A * exp B)/pi, and print the result in base 26, using some random permutation of a...z as digits. How difficult is it to recover polynomials that define A and B?

These operations were chosen aesthetically, seeking randomness. RootOf acts like a super square root function, and exp seems like a super version of raising to an integer power.

If the numbers are purely real, omit Arg/pi. Perhaps just keep fractional part of magnitude.

-.