How to calculate the Jones vector in the following setting

Calculate the refractive index of gold at a wavelength of $632.8$ nm using the simplified Drude model for metals.

Assume linearly polarized light at $45$° that is incident at an angle of $80$° on a golden surface.

Find the Jones vector for the polarization of the reflected light.

The final answer needs to be of the form

$begin{vmatrix} A Be^{iC} end{vmatrix} $

with A, B and C numbers (only relative phases are important !).

careful : $phi$ is in radians

I already calculated the refractive index of gold ( $n^2= -20.15$, $n= 4.49i$ )
and the $R_p$ and $R_s$. However, both $R_p$ and $R_s$ have an imaginary and real part, I don’t know whether that is correct.