I couldn't manage to make Wolfram Alpha plot complex values of functions with a real parameter in the complex plane. Instead, I always get (separated) representations of the real and the imaginary part of such a function.
E.g. $e^{i \phi}$ should result in the unitary circle, but Wolfram Alpha shows the cosine and the sine curve.
Which is the suitable code? Are there free tools apart Wolfram Alpha to show such plots?