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Unknot
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