T-symmetric Koebe radius conjecture for schlicht polynomials

Let $T$ and $N$ be positive integers, and let $F^{(0)}$ be the polynomial proposed as the extremizer for the $T$-symmetric univalent-polynomial optimization problem. A schlicht polynomial is a univalent polynomial on $\mathbb D=\{z:|z|<1\}$ with the stated $T$-fold symmetry and degree $N$. T-symmetric Koebe radius conjecture. The image of $\mathbb D$ under every $T$-symmetric schlicht polynomial of degree $N$ contains a disc of radius

$$\left|F^{(0)}\left(e^{\frac{i\pi}{T}}\right)\right|,$$

and this value is sharp. This is presented as a polynomial analogue of the $T$-symmetric Koebe theorem; the source gives no proof or resolution status.