Revised LMOV integrality conjecture for framed knots

Let $\mathcal{K}_{\tau}$ be a knot with framing $\tau\in\mathbb{Z}$, and let $\hat g_{\mu}(\mathcal{K}_{\tau})$ be the transformed free-energy coefficient defined from the framed Chern–Simons partition function. Set $z=q^{1/2}-q^{-1/2}$.

Revised framed LMOV conjecture. For every partition $\mu$,

$$\mathfrak{z}_{\mu}\hat g_{\mu}(\mathcal{K}_{\tau})=\sum_{g\geq0}\sum_Qn_{\mu,g,Q}(\tau)z^{2g-2}a^Q\in z^{-2}\mathbb{Z}[z^2,a^{\pm1/2}].$$

Thus the transformed coefficient is a Laurent polynomial whose coefficients are the framed LMOV invariants. The supplied text gives no resolution status.