  The noncommutative A-ideal of a knot is a generalization of the A-polynomial,
defined using Kauffman bracket skein modules. In this paper we show that any
knot that has the same noncommutative A-ideal as the (2,2p+1)-torus knot has
the same colored Jones polynomials. This is a consequence of the orthogonality
relation, which yields a recursive relation for computing all colored Jones
polynomials of the knot.
