2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86929A polynomial is presented that models a topological knot in a unique manner. It distinguishes all types of knots including the orientation and has a group theory interpretation. The topologies may be labeled via a number, which upon a base 2 expansion generate the polynomial; the equivalent numbers via Reidemeister moves are grouped into a superset polynomial with coefficients labeling the equivalent knots.8 pages, LaTeXGeneral Physicstext