Top-row conjecture for the refined quantum modularity matrix

Let $r+1$ be the size of the matrix $\mathbf J$, and let $\mathrm{DJ}^{(m)}(q)$ denote the descendant invariant. The matrix $\mathbf J$ is the matrix of the conjectured knot invariants associated with the refined quantum modularity conjecture. Top-row conjecture. The top row of $\mathbf J$ is a rational linear combination of $r+1$ consecutive terms of $\mathrm{DJ}^{(m)}(q)$. This conjecture would relate the matrix-valued refined quantum modularity invariants to the descendant colored Jones functions; the supplied text gives no resolution status.