Positivity conjecture for colored unknot invariants in real projective three-space

Let $U$ be an unknot in $\mathbb{R}P^3$ colored by an $n$-dimensional skew-symmetric or symmetric representation $R$ of $su(2)$. Let $Z_{R\emptyset}(U;Q,q)$ be its invariant, and let $S$ denote the $q$-series expansion. Positivity conjecture. For every order in $Q$, the expansion satisfies

$$S[Z_{R\emptyset}(U;Q,q)]\in\mathbb{Z}_{+}[[q]].$$

This conjecture proposes integrality and positivity of the coefficients observed in the computed examples. The supplied text does not state a resolution status.