# 8 14 (KnotPlot image) See the full Rolfsen Knot Table. Visit 8 14's page at the Knot Server (KnotPlot driven, includes 3D interactive images!) Visit 8 14 at Knotilus!

### Knot presentations

 Planar diagram presentation X1425 X5,10,6,11 X3948 X9,3,10,2 X7,14,8,15 X11,16,12,1 X15,12,16,13 X13,6,14,7 Gauss code -1, 4, -3, 1, -2, 8, -5, 3, -4, 2, -6, 7, -8, 5, -7, 6 Dowker-Thistlethwaite code 4 8 10 14 2 16 6 12 Conway Notation 

### Three dimensional invariants

 Symmetry type Reversible Unknotting number 1 3-genus 2 Bridge index 2 Super bridge index $\{4,5\}$ Nakanishi index 1 Maximal Thurston-Bennequin number [-9][-1] Hyperbolic Volume 9.2178 A-Polynomial See Data:8 14/A-polynomial

### Four dimensional invariants

 Smooth 4 genus $1$ Topological 4 genus $1$ Concordance genus $2$ Rasmussen s-Invariant -2

### Polynomial invariants

 Alexander polynomial $-2 t^2+8 t-11+8 t^{-1} -2 t^{-2}$ Conway polynomial $1-2 z^4$ 2nd Alexander ideal (db, data sources) $\{1\}$ Determinant and Signature { 31, -2 } Jones polynomial $q-2+4 q^{-1} -5 q^{-2} +6 q^{-3} -5 q^{-4} +4 q^{-5} -3 q^{-6} + q^{-7}$ HOMFLY-PT polynomial (db, data sources) $z^2 a^6-z^4 a^4-z^2 a^4-z^4 a^2-z^2 a^2+z^2+1$ Kauffman polynomial (db, data sources) $z^4 a^8-z^2 a^8+3 z^5 a^7-5 z^3 a^7+z a^7+3 z^6 a^6-4 z^4 a^6+z^2 a^6+z^7 a^5+4 z^5 a^5-8 z^3 a^5+3 z a^5+5 z^6 a^4-7 z^4 a^4+3 z^2 a^4+z^7 a^3+3 z^5 a^3-6 z^3 a^3+3 z a^3+2 z^6 a^2-z^4 a^2-z^2 a^2+2 z^5 a-3 z^3 a+z a+z^4-2 z^2+1$ The A2 invariant $q^{22}-q^{20}-q^{18}+q^{16}-q^{14}+q^{12}+q^6-q^4+2 q^2+ q^{-4}$ The G2 invariant $q^{114}-2 q^{112}+4 q^{110}-6 q^{108}+3 q^{106}-6 q^{102}+14 q^{100}-16 q^{98}+17 q^{96}-11 q^{94}-4 q^{92}+17 q^{90}-25 q^{88}+25 q^{86}-17 q^{84}+4 q^{82}+11 q^{80}-17 q^{78}+17 q^{76}-9 q^{74}-3 q^{72}+13 q^{70}-16 q^{68}+5 q^{66}+7 q^{64}-19 q^{62}+28 q^{60}-26 q^{58}+15 q^{56}+q^{54}-21 q^{52}+33 q^{50}-37 q^{48}+28 q^{46}-11 q^{44}-7 q^{42}+21 q^{40}-23 q^{38}+19 q^{36}-7 q^{34}-6 q^{32}+13 q^{30}-12 q^{28}+2 q^{26}+12 q^{24}-19 q^{22}+22 q^{20}-13 q^{18}+12 q^{14}-21 q^{12}+24 q^{10}-18 q^8+8 q^6+2 q^4-9 q^2+12-10 q^{-2} +9 q^{-4} -3 q^{-6} +2 q^{-10} -3 q^{-12} +3 q^{-14} - q^{-16} + q^{-18}$