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A knot K is a polygonal simple closed curve in S3 which does not bound a disk in S\ A solid torus T is a 3manifold homeomorphic to S1 x D\ The boundary of T is a torus, a 2-manifold homeomorphic to S x S 1. A meridian of T is a simple closed curve on dT which bounds a disk in T but is not homologous to zero on dT. A meridianal disk of T is a disk D in T such that D Π 3Γ = dD and 3D is a meridian of T. A longitude of Γ is a simple closed curve on 3Γ which is transverse to a meridian of T and is null-homologo us in S3-T. A meridianlongitude pair for T is an ordered pair (Af, L) of curves such that ikf is a meridian of T and L is a longitude of T transverse to ikf. π^dT) ~ Z x Z with generators M and L. gilf + pL is the homotopy class of a simple closed