2-bridge knots (aka rational knots) $K(p,q)$ are described by a rational number $\frac{p}{q}$ or likewise its continued fraction expansion $\left[a_1,a_2,\ldots,a_k\right]$.

Has somebody worked out a list to identify the 2-bridge knots in the Rolfsen's table or the Callahan-Hildebrand-Weeks census or some other knot census?

This would be helpful to read the invariants (Alexander polynomial, hyperbolic volume etc) of $K(p,q)$ for various $\frac{p}{q}$ from one of these tables.