Reidemeister torsion of a 3-manifold obtained by an integral Dehn-surgery along the figure-eight knot

Abstract

Let M be a 3-manifold obtained by a Dehn-surgery along the figure-eight knot. We give a formula of the Reidemeisiter torsion of M for any SL(2; C)-irreducible representation. It has a rational expression of the trace of the image of the meridian.