Fibered-knot Laurent polynomial conjecture for $F_K$

Let $K$ be a fibered knot, and write $F_K(x,q)$ as a series in $x$. Fibered-knot Laurent polynomial conjecture. For any fibered knot $K$, the coefficients of $F_K$ are Laurent polynomials in $q$. Computations establish this for all fibered knots up to $10$ crossings and provide evidence for the conjecture; the paper relates the expected property to holomorphic-curve counting.