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  "body": "\n## Summary\n\nThe Jones polynomial is an invariant of oriented [[links|1A5WRCNTM3]] with values in Laurent polynomials in $t^{1/2}$.\nVaughan Jones discovered it in 1984 through operator algebras.\nIt can be computed from any diagram by a skein relation or by the [[Kauffman bracket|JYKVYS4N32]].\nUnlike the [[Alexander polynomial|JKA25KDPQP]], it distinguishes many knots from their mirror images, such as the two trefoils.\n\n## Explanations\n\n### L1 human\n\nThe Jones polynomial turns a knot drawing into a polynomial, and different drawings of the same knot give the same answer.\nYou compute it by undoing crossings one at a time with a fixed rule, the skein relation.\nThe plain circle gets the value $1$.\nOne trefoil gets $t + t^3 - t^4$ and its mirror image gets $t^{-1} + t^{-3} - t^{-4}$.\nSo the left-handed and right-handed trefoils are different knots.\nIt is still unknown whether a nontrivial knot can have Jones polynomial $1$.\n",
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