Nondivisibility of leak terms in singular-locus equations

Let $\widetilde{\mathcal{M}}=(G,In,Out,Leak)$ be a strongly connected linear compartmental model with at least one input and at least one leak. A singular-locus equation $f$ is the determinant of the Jacobian in the square-Jacobian case. Nondivisibility conjecture for leak terms. Assume that $\widetilde{\mathcal{M}}$ is generically locally identifiable and has singular-locus equation $f$. Then $k_{0\ell}\nmid f$ for all $\ell\in Leak$. This conjecture is equivalent, under the hypotheses established in the paper, to the leak-removal conjecture. Its general validity remains open.