  We conjecture a formula supported by computations for the valuation of Kac
polynomials of a quiver, which only depends on the number of loops at each
vertex. We prove a convergence property of renormalized Kac polynomials of
quivers when increasing the number of arrows: they converge in the ring of
power series, with a linear rate of convergence. Then, we propose a conjecture
concerning the global behaviour of the coefficients of Kac polynomials. All
computations were made using SageMath.
