Higher dimensional twisted Alexander polynomials for metabelian representations

We study the asymptotic behavior of the twisted Alexander polynomial for the sequence of SLn(C)-representations induced by an irreducible metabelian SL2(C)-representation of a knot group. We give the limits of the leading coefficients in the asymptotics of the twisted Alexander polynomial and related Reidemeister torsion. The concrete computations for all genus one two-bridge knots are also presented.