The Beck–de Loera–Pfeifle–Stanley vertical strip conjecture for Ehrhart polynomial roots

Let $P$ be a lattice polytope and let $L_P(t)$ be its Ehrhart polynomial of degree $d$, with roots $\alpha_i$. Vertical strip conjecture. Every root satisfies

$$-d\leq \operatorname{Re}(\alpha_i)\leq d-1$$

for all $i$. This conjecture concerns a uniform vertical strip containing the roots of every Ehrhart polynomial of degree $d$; its general status is not resolved in the supplied material.