4 problems

Signed-column conjecture. For all $t\in\mathbb{T}_n$, the matrix $D_t^{B_0;t_0}$ has signed columns.

Sigma denominator-matrix conjecture.

Source-sink denominator recursion conjecture.

Sign-coherence conjecture. (i) Any $c$-vector of $\mathcal{A}_\bullet(B)$ is a nonzero vector, and its components are either all non-negative or all non-positive. (ii) Any non-init…