Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing

We continue our study of the connections between the hyperbolic volume of the complement of a knot in the three dimensional sphere with topological invariants of this knot. This time we pay attention to $A(M,L)$ parametrization for the affine variety with casp, produced by a knot (so-called $A$-polynomials). Then, using the known expressions of $A$-polynomials for number of knots we present results of the numerical tests for the conjectures on asymptotics of solutions of $q$-difference equations connected with the hyperbolic volume of these knots.