Modified Gamma conjecture I, weak form

Let $X$ be a Fano manifold satisfying Property $\mathcal O_A$, where $T_{\mathrm{A,con}}$ is a simple rightmost eigenvalue of $\hat c_1$. Let $A_X$ be the principal asymptotic class and let $\widehat\Gamma_X$ be the Gamma class. Modified Gamma conjecture I, weak form. The principal asymptotic class $A_X$ is given by the Gamma class $\widehat\Gamma_X$. This is proposed as a modification of the original Gamma conjecture I, motivated by the A-model conifold value; it is known in the cases established for the relevant hypotheses in the paper.