Andrew the Orchid wrote:


> Well, one of us has fluffed up somewhere :-S Since the procedure you 
> undertook is simpler, I suspect it was me :-$
> 
> Andrew.

Well, again studiously avoiding doing anything resembling mathematics 
myself, I downloaded a "KnotTheory" Mathematica package ( 
http://www.math.toronto.edu/~drorbn/KAtlas/Manual/index.html ), and 
typed in Jones[TorusKnot[3,2]][q], which produced q + q^3 - q^4 (which 
is the same as for one of the Trefoil knots, and the picture the package 
gives for the (3,2) Torus knot looks like a trefoil.  See the 
attachment.  If I recall correctly (and that's a big ^if^), the 
exponents in the Jones polynomial should always work out to be positive 
or negative integers.  I suppose now I'm going to have to sit down and 
think it through again.  I'm too old for this ;-)

Dave Matthews

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