Abstract

We show that no torus knot of type (2,n)(2,n), n>3n>3 odd, can be obtained from a polynomial embedding t↦(f(t),g(t),h(t))t \mapsto (f(t), g(t), h(t)) where (°(f),°(g))≤(3,n+1)(°(f),°(g))\leq (3,n+1) . Eventually, we give explicit examples with minimal lexicographic degree.

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