In a recent work with Steven Sivek and Raphael Zentner we prove that any rational homology 3-sphere except for RP^3 and its connected sums whose first homology is 2-torsion admits an irreducible representation to SL(2,C) of its fundamental group. This answers a conjecture of Przytycki (Kirby problem 1.92(F)) on torsion in the Kauffman Skein module of reducible 3-manifolds, unless every summand but one is RP^3. An important ingredient in our proof is the construction of a degree-1 map from the exterior of any rationally null-homologous knot of order 2 onto the twisted I-bundle over the Klein bottle. In this talk, I’ll describe this construction and its generalization to higher order rational longitudes.