I need to solve the following equation.
solve(z^2 == (1-sqrt(3)*I)*z.conjugate(), z)
Sage says
[z == -sqrt((-I*sqrt(3) + 1)*conjugate(z)), z == sqrt((-I*sqrt(3) + 1)*conjugate(z))]
I'd like to get solutions in polar form, something like
[z == 0, z == 2*e^(pi*I/9), z == 2*e^(7*pi*I/9), z == 2*e^(13*pi*I/9)]
Or I'd like to get the absolute values and arguments of the solutions. Is it possible in Sage?
