It is well known that every knot-type has a representative given by a polynomial embedding from \$\mathbb{R}\$ to \$\mathbb{R}^3\$ and such a  representation is not unique. Also two polynomial representations of the same knot-type can be continuously deformed by a one parameter family of  polynomial embeddings. In this situation the question of choosing an ideal poynomial representation makes sense. We have made an effort to define an  Energy function on the space of polynomial knots and based on this function we call a polynomial representation of a given knot-type with minimum energy to be the ideal one.