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](http://www.math.uic.edu/t3m/SnapPy/censuses.html)?


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.



2-bridge knots in the Rolfsen's table
Cha and Livingston's [KnotInfo](http://www.indiana.edu/~knotinfo) includes the ability to list the bridge index of knots with at most 11 crossings, and so covers all of Rolfsen's table. The 2-bridge knots are those with bridge index 2. Additionally, their table includes the other invariants that you mention (Alexander polynomial, hyperbolic volume) as well as many more.


In the description of bridge index they say that ''There is no general method or algorithm for computing the bridge index of an arbitrary knot''. However, the case of knots with at most 11 crossings was done by Musick in ''Minimal Bridge Projections for 11-corssing prime knots''. In this paper he provides an explicit Dowker-Thistlethwaite Code for a diagram of minimal bridge index for each 11 crossing knots in Section 3. From which one could compute $p / q$ from directly. 


