1. A machine executed modulo banding creator method comprising: (A) creating a potential band at least in part by a programmed machine performing: (1) using a continuum evaluator to create an unadjusted potential band by applying a predetermined continuum potential commonality function to a predetermined last point and a predetermined iteration count, (2) using an iteration count differencer to subtract a predetermined winding digit adjustment from said unadjusted potential band to create an integrated potential band, (3) using a floor fraction separator to produce a potential band comprised of a potential band integer and a potential band fraction by separating said integrated potential band into an integer and a fraction, (B) creating a field band at least in part by the programmed machine performing: (1) constructing a principle fraction at least in part by the programmed machine performing: (a) using an argument extractor to return a principle angle by taking a complex argument of said predetermined last point, (b) using a angle fractionalizer to divide said principle angle by two times pi, the mathematical constant, to produce a resulting angle between minus one half and plus one half, (2) using a field modulo maker to evaluate a predetermined field line commonality function using said principle fraction, said predetermined winding digit adjustment, a predetermined winding count, and said predetermined iteration count, to produce a field band comprised of a field band integer and a field band fraction, (C) organizing, by the programmed machine, said field band and said potential band into a modulo banding, providing, by the programmed machine, the modulo banding for a complex escape topology based on predetermined modulo banding parameters comprising the predetermined last point, the predetermined iteration count, the predetermined winding count, the predetermined winding digit adjustment, the predetermined continuum potential commonality function, and the predetermined field line commonality function.