Real and imaginary parts over the complex plane Contour plot of the real part (red) and imaginary part (blue) of over the . Here . By the Cauchy–Riemann equations, the curves of constant real part and constant imaginary part are orthogonal. Curves of vanishing real part (red) and imaginary part (blue) of over the . Here . Absolute value and argument over the complex plane Contour plot of the absolute value (violet) and argument (green) of over the . Here . Real and imaginary parts over the complex plane around infinity Contour plot of the real part (red) and imaginary part (blue) of over the . Here . The essential singularity at results in a complicated structure of the contour lines. Curves of vanishing real part (red) and imaginary part (blue) of over the . Here . Absolute value and argument over the complex plane around infinity Contour plot of the absolute value (violet) and argument (green) of over the . Here . The essential singularity at results in a complicated structure of the contour lines.
