The HOMFLY polynomial conjecture for hypergraph interior polynomials

Let $G$ be the connected bipartite graph from the construction above, with bipartition denoted by $V$ and $E$, and let $L_G$ be its associated link. Write $P_{L_G}(v,z)$ for the HOMFLY polynomial and $\nabla_{L_G}(z)=P_{L_G}(1,z)$ for the Alexander–Conway polynomial. Let $I_{(V,E)}(\xi)$ be the interior polynomial of the associated hypergraph. The HOMFLY polynomial conjecture. The part of $P_{L_G}$ which, after substituting $v=1$, becomes the leading term in $\nabla_{L_G}(z)$ is equal to

$$(vz)^{|R|-1}I_{(V,E)}(v^2).$$

This conjecture extends a result of Jaeger by relating the HOMFLY polynomial of $L_G$ to the interior polynomial of the associated hypergraph. The source does not provide evidence of a resolution.