That is easy: a baby, I think, could have caught it.

The Red Queen -- Alice Through The Looking Glass

The following graphs were obtained by plotting the first two additive Vassiliev knot invariants against each other for all prime knots with a given crossing number. The data for knots up to ten crossings are from Stanford's list of Vassiliev invariants up to degree six, and the eleven and twelve crossing knots were calculated from Thistlethwaite's table of Jones polynomials.

These pictures appeared first in my thesis and are also in the paper
*On the first two Vassiliev invariants,*
where I also plot the thirteen and fourteen crossing knots (the pattern
continues).

Both *v _{2}* and

Mail me with your conjectures
(or *theorems*) for the behaviour at higher crossing numbers.

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