Hermitian forms graph absolute eigenvalue conjecture

Let $Q_q(d)$ be the Hermitian forms scheme on the $d\times d$ Hermitian matrices over $\mathbb{F}_{q^2}$, and let $Q_j(i)$ denote the eigenvalue indexed by $i$ in its distance-$j$ graph.

Hermitian absolute eigenvalue conjecture. Let $d\geq 3$. Then

$$|Q_j(i)| < |Q_j(1)|$$

for $2\leq i\leq d$.

The theorem in the paper proves this assertion under the stated Hermitian-forms hypotheses, so it is resolved there.