The nice-knot characterization conjecture

Let $K$ be a knot. A knot is nice when it admits a braid representative equipped with an inversion datum, as defined in the paper. It is fibered when its complement fibers over the circle with fiber a Seifert surface. Nice-knot characterization conjecture. A knot $K$ is nice if and only if it is fibered. The paper proves the forward computational evidence for all fibered knots up to 12 crossings and reports no inversion data for non-fibered knots; the equivalence remains open.