Hi, everyone. I am interested in the complement of (1,1) bridge knot in a lens space, $S^{3}$. Is there one (1,1) bridge knot in $S^{3}$ or lens space such that its complement is 
hyperbolic? 


Note: A knot $K$ in $S^{3}$ or Lens space is (1,1) if for the standard genus 1 Heegaard splitting of $S^{3}$ or lens space, $K$ intersects each solid torus only one arc which is 
boundary parallel.



A question on (1,1) bridge Knot
All two-bridge knots in $S^3$ are $(1,1)$-knots in $S^3$. This is assigned as an exercise [here](http://ldtopology.wordpress.com/2011/01/31/unknotting-tunnels-for-11-knots/). All two-bridge knots, other than the $(2,2k+1)$-torus knots, are hyperbolic.


