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Jan 9, 2019 at 11:35 vote accept pre-kidney
Jan 5, 2019 at 20:47 comment added Adam Lowrance I think that not much is really known about how to produce knots with prescribed Jones polynomial. Manchon arXiv:0201160 used a construction of Morton and Bae arXiv:0012089 to construct prime knots whose Jones polynomials have prescribed extreme coefficients.
Jan 5, 2019 at 20:35 comment added pre-kidney Thank you - even if the Jones polynomial question remains open, are you aware of any variant of Seifert's construction that produces many (if not all) Jones polynomials?
Jan 5, 2019 at 19:20 history edited Martin Sleziak CC BY-SA 4.0
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Jan 5, 2019 at 19:09 history answered Adam Lowrance CC BY-SA 4.0