# 10 144 (KnotPlot image) See the full Rolfsen Knot Table. Visit 10 144's page at the Knot Server (KnotPlot driven, includes 3D interactive images!) Visit 10 144 at Knotilus! Sergei Chmutov points out that in the 1976 edition of Rolfsen's book, 10_144 was drawn incorrectly.

### Knot presentations

 Planar diagram presentation X1425 X3,10,4,11 X18,11,19,12 X5,15,6,14 X17,7,18,6 X7,17,8,16 X15,9,16,8 X20,13,1,14 X12,19,13,20 X9,2,10,3 Gauss code -1, 10, -2, 1, -4, 5, -6, 7, -10, 2, 3, -9, 8, 4, -7, 6, -5, -3, 9, -8 Dowker-Thistlethwaite code 4 10 14 16 2 -18 -20 8 6 -12 Conway Notation [31,21,21-]

### Three dimensional invariants

 Symmetry type Reversible Unknotting number 2 3-genus 2 Bridge index 3 Super bridge index Missing Nakanishi index 2 Maximal Thurston-Bennequin number [-9][-1] Hyperbolic Volume 10.7966 A-Polynomial See Data:10 144/A-polynomial

### Four dimensional invariants

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

### Polynomial invariants

 Alexander polynomial $-3 t^2+10 t-13+10 t^{-1} -3 t^{-2}$ Conway polynomial $-3 z^4-2 z^2+1$ 2nd Alexander ideal (db, data sources) $\left\{2,t^2+t+1\right\}$ Determinant and Signature { 39, -2 } Jones polynomial $2 q-3+5 q^{-1} -7 q^{-2} +7 q^{-3} -6 q^{-4} +5 q^{-5} -3 q^{-6} + q^{-7}$ HOMFLY-PT polynomial (db, data sources) $z^2 a^6-z^4 a^4+2 a^4-2 z^4 a^2-5 z^2 a^2-4 a^2+2 z^2+3$ Kauffman polynomial (db, data sources) $z^4 a^8-z^2 a^8+3 z^5 a^7-4 z^3 a^7+4 z^6 a^6-6 z^4 a^6+2 z^2 a^6+3 z^7 a^5-4 z^5 a^5+4 z^3 a^5-2 z a^5+z^8 a^4+2 z^6 a^4-2 z^4 a^4-2 z^2 a^4+2 a^4+4 z^7 a^3-8 z^5 a^3+8 z^3 a^3-2 z a^3+z^8 a^2-2 z^6 a^2+8 z^4 a^2-12 z^2 a^2+4 a^2+z^7 a-z^5 a+3 z^4-7 z^2+3$ The A2 invariant $q^{22}-q^{20}-q^{18}+2 q^{16}+2 q^{12}-2 q^8-q^6-3 q^4+2 q^2+1+ q^{-2} +2 q^{-4}$ The G2 invariant $q^{114}-2 q^{112}+4 q^{110}-6 q^{108}+4 q^{106}-q^{104}-4 q^{102}+13 q^{100}-18 q^{98}+22 q^{96}-19 q^{94}+3 q^{92}+12 q^{90}-29 q^{88}+39 q^{86}-36 q^{84}+24 q^{82}-24 q^{78}+38 q^{76}-35 q^{74}+17 q^{72}+4 q^{70}-24 q^{68}+27 q^{66}-13 q^{64}-5 q^{62}+34 q^{60}-45 q^{58}+42 q^{56}-16 q^{54}-18 q^{52}+48 q^{50}-63 q^{48}+57 q^{46}-32 q^{44}+5 q^{42}+27 q^{40}-49 q^{38}+47 q^{36}-34 q^{34}+7 q^{32}+13 q^{30}-34 q^{28}+23 q^{26}-4 q^{24}-12 q^{22}+28 q^{20}-38 q^{18}+22 q^{16}+3 q^{14}-29 q^{12}+44 q^{10}-46 q^8+30 q^6-17 q^2+29-29 q^{-2} +25 q^{-4} -7 q^{-6} -4 q^{-8} +9 q^{-10} -10 q^{-12} +8 q^{-14} - q^{-16} + q^{-18} + q^{-20}$