Alexander-Briggs notation | 3_1 Conway notation | 3 Dowker notation | 4 6 2

overhand knot | threefoil

braid word | σ_1^3 braid index | 2 braid diagram |

crossing number | 3 unknotting number | 1 determinant | 3 signature | -2 coloring number set | {3} genus of complement | 1 Seifert matrix | (-1 | 0 -1 | -1)

Alexander polynomial | x + 1/x - 1 BLM/Ho polynomial | 2 x^2 + 2 x - 3 bracket polynomial | -1/x^16 + 1/x^12 + 1/x^4 Conway polynomial | x^2 + 1 HOMFLY polynomial | -x^4 + x^2 y^2 + 2 x^2 Jones polynomial | -1/x^4 + 1/x^3 + 1/x Kauffman polynomial | x^5 y + x^4 y^2 - x^4 + x^3 y + x^2 y^2 - 2 x^2

alternating | chiral | invertible | nonhyperbolic | nonsatellite | prime | torus