TITLE: can you fool SnapPea?
QUESTION [16 upvotes]: A while back I thought I had some simple knots that "fooled" SnapPea.  But I no longer remember those examples, if I ever had them to begin with.  
What I'm looking for is a non-hyperbolizable knot or link in S^3 for which SnapPea thinks it finds a hyperbolic structure on the complement.  Do you have such an example?   I'm interested in the examples that work in SnapPea -- it's fine if Snap or the Harriet Moser criterion "knows" the gluing equations are not satisfied. 
edit: to make my question more rigid, can you find an unknot (or a trivial link) for which SnapPea thinks there is a hyperbolic structure?
In case this is all jargon to you, SnapPea is software used primarily for finding and exploring hyperbolic structures on 3-manifolds: http://www.math.uic.edu/~t3m/SnapPy/doc/

REPLY [3 votes]: Have you tried something like this (you probably have):
Take a diagram of a complicated hyperbolic knot and draw a diagram for the Whitehead double.  Then change a crossing in the clasp.
I'd like to test this, but my SnapPea can't handle it.
Edit: You could also try Haken's unknots. (Wayback Machine)