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We have computed numerically the roots of the Jones polynomial for all prime knots with $N\\leq 10$ crossings, and found the zeroes scattered about the unit circle $|t|=1$ with the average distance to the circle approaching a nonzero value as $N$ increases.\n  For torus knots of the type $(m,n)$ we show that all zeroes lie on the unit circle with a uniform density in the limit of either $m$ or $n\\to \\infty$, a fact confirmed by our numerical findings. 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