Taranenko's local-extrema conjecture for 1-polystochastic permanents

Let $\Omega_1(d,n)$ be the polytope of $1$-polystochastic $d$-dimensional matrices of order $n$, and let a local extremum mean a local maximum or local minimum of the permanent on this polytope. Taranenko's local-extrema conjecture. All local extrema of the permanent on $\Omega_1(d,n)$ are located at the vertices or centres of its faces. The source reports that counterexamples to this conjecture are provided, so the conjecture is refuted.