Attractor invariants for the local second del Pezzo phase

Let $Q$ be the quiver for the local phase labelled $\mathrm{PdP}_2$, let $e_i$ be its vertex dimension vectors, and let $\mathrm{d}$ be the dimension vector of a single D0-brane. Local $\mathrm{PdP}_2$ attractor conjecture. For every vertex $i$, $\Omega_*(e_i)=1$, and for every $n\geq1$, $\Omega_*(n\mathrm{d})=-y^{-1}(y^4+3y^2+1)$; for every $n\geq0$, $\Omega_*(e_1+e_3+n\mathrm{d})=\Omega_*(e_2+e_4+e_5+n\mathrm{d})=-y$; all other attractor invariants vanish. The formula was verified in small degrees and records additional non-simple attractor states in this phase; the source gives no general proof.