Chern--Simons set identification conjecture for negative definite plumbed manifolds

Let $M$ be the plumbed $3$-manifold in the preceding asymptotic expansion, let $\mathcal{S}$ be the finite set of phases appearing there, and let $\operatorname{CS}_{\mathbb{C}}(M)$ be the set of Chern--Simons invariants of $M$. Chern--Simons set identification conjecture. The finite set $\mathcal{S}$ coincides with

$$\operatorname{CS}_{\mathbb{C}}(M)\cup\{0\}.$$

This conjecture compares the phases obtained analytically from the plumbing formula with the Chern--Simons spectrum predicted by Witten's asymptotic expansion conjecture. The source gives no resolution status.