Riemann surfaces

Real and imaginary parts of the continuation of over the . The imaginary part is a faithful representation of the Riemann surface of .

Imaginary parts of the continuation of over the . The two square root branch points at are clearly visible. The viewpoint is from the lower half‐plane (left graphic) and from the right half‐plane (right graphic).

Imaginary parts of the continuation of over the Riemann sphere. The branch points are at the intersection of the equator with the ‐plane