Assuming the measurement results are s-parameter based, the magnitude of S21 (not just the real part) is the radiation pattern at each frequency. This will give you the shape of the pattern but not the absolute gain. The phase may not be needed unless you want to determine other information such as axial ratio.
The magnitude can't be negative, you might be looking at a complex number with a real negative part. For example if S21 = -5 - j4, the magnitude is S21_mag = sqrt[(-5)^2+(-4)^2] which is positive. You might also want to plot in dB in that case, S21_mag_dB = 20log10(S21_mag). Once you have the magnitude for each angle you can plot on a rectangular or polar plot. You can also normalise so the maximum is 1 (or 0 dB).