Frobenius angles (reviewed)

Given an isogeny class of abelian varieties defined over a finite field $\F_q$, its Weil polynomial is such that all of its roots $\alpha_1,\alpha_2, \ldots, \alpha_{2g}$ have absolute value $\sqrt{q}$. Therefore all of the information on the roots is contained in the quantities $${\rm Arg}(\alpha_i),$$ which we call the Frobenius angles of the Weil polynomial.