Conjecture on cyclic resultants of generic monic polynomials

Let $K$ be the coefficient field, and let $f(x)\in K[x]$ be a generic monic polynomial of degree $d$. Its cyclic resultants are the associated sequence of resultants. Generic cyclic-resultant conjecture. A generic monic polynomial $f(x)\in K[x]$ of degree $d$ is determined by its first $d+1$ cyclic resultants. This conjecture is a proposed sharp bound for reconstructing a generic polynomial from cyclic-resultant data. The surrounding discussion gives larger bounds in the paper and identifies progress only for special reciprocal polynomials; no resolution of this conjecture is supplied.