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    Unknot

    Images

    Images

    Notations

    Alexander-Briggs notation | 0_1

    Common name

    trivial knot

    Braid representation

    braid word | σ_1 braid index | 1 braid diagram |

    Knot invariants

    crossing number | 0 unknotting number | 0 determinant | 1 signature | 0 coloring number set | {}

    Polynomial invariants

    Alexander polynomial | 1 BLM/Ho polynomial | 1 bracket polynomial | 1 Conway polynomial | 1 HOMFLY polynomial | 1 Jones polynomial | 1 Kauffman polynomial | 1

    Properties

    alternating | amphichiral | hyperbolic | invertible | nonsatellite | nontorus | prime

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