What is the HOMFLY polynomial of the figure eight knot? - Wolfram|Alpha
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Input interpretation:

    link to /input/?i=figure+eight+knot&lk=1&a=ClashPrefs_*Knot.FigureEight-
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    Result:

    link to /input/?i=-1%2B1%2Fx%5E2%2Bx%5E2-y%5E2&lk=1&a=ClashPrefs_*Math-
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    Polynomial invariants:

    link to /input/?i=figure+eight+knot+Alexander+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.AlexanderPolynomial-link to /input/?i=figure+eight+knot+Alexander+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.AlexanderPolynomial-link to /input/?i=3-1%2Fx-x&lk=1&a=ClashPrefs_*Math-link to /input/?i=figure+eight+knot+BLM%2FHo+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.BLMHoPolynomial-link to /input/?i=figure+eight+knot+BLM%2FHo+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.BLMHoPolynomial-link to /input/?i=-3-2+x%2B4+x%5E2%2B2+x%5E3&lk=1&a=ClashPrefs_*Math-link to /input/?i=figure+eight+knot+bracket+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.BracketPolynomial-link to /input/?i=figure+eight+knot+bracket+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.BracketPolynomial-link to /input/?i=1%2B1%2Fx%5E8-1%2Fx%5E4-x%5E4%2Bx%5E8&lk=1&a=ClashPrefs_*Math-link to /input/?i=figure+eight+knot+Conway+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.ConwayPolynomial-link to /input/?i=figure+eight+knot+Conway+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.ConwayPolynomial-link to /input/?i=1-x%5E2&lk=1&a=ClashPrefs_*Math-link to /input/?i=figure+eight+knot+HOMFLY+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.HOMFLYPolynomial-link to /input/?i=figure+eight+knot+HOMFLY+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.HOMFLYPolynomial-link to /input/?i=-1%2B1%2Fx%5E2%2Bx%5E2-y%5E2&lk=1&a=ClashPrefs_*Math-link to /input/?i=figure+eight+knot+Jones+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.JonesPolynomial-link to /input/?i=figure+eight+knot+Jones+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.JonesPolynomial-link to /input/?i=1%2B1%2Fx%5E2-1%2Fx-x%2Bx%5E2&lk=1&a=ClashPrefs_*Math-link to /input/?i=figure+eight+knot+Kauffman+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.KauffmanPolynomial-link to /input/?i=figure+eight+knot+Kauffman+polynomial&lk=1&a=ClashPrefs_*Knot.FigureEight.KnotProperty.KauffmanPolynomial-link to /input/?i=-1-1%2Fx%5E2-x%5E2-y%2Fx-x+y%2B2+y%5E2%2By%5E2%2Fx%5E2%2Bx%5E2+y%5E2%2By%5E3%2Fx%2Bx+y%5E3&lk=1&a=ClashPrefs_*Math-
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    Properties:

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    Download full output as:

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