K14n27391

Dowker-Thistlethwaite code

8 -14 -16 -18 28 -24 -26 -22 -6 10 -2 -4 -12 20

Jones polynomial	Data:K14n27391/Jones Polynomial
Alexander polynomial	$t^{5}-5t^{4}+13t^{3}-25t^{2}+39t-45+39t^{-1}-25t^{-2}+13t^{-3}-5t^{-4}+t^{-5}$
Conway polynomial	Data:K14n27391/Conway Polynomial
Determinant	Data:K14n27391/Determinant
Signature	Data:K14n27391/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-z^{8}a^{-4}-z^{8}+18z^{6}a^{-2}-5z^{6}a^{-4}-5z^{6}+19z^{4}a^{-2}-8z^{4}a^{-4}-8z^{4}+6z^{2}a^{-2}-2z^{2}a^{-4}-3z^{2}-a^{-2}+2a^{-4}-a^{-6}+1$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 z^{12} a^{-2} +2 z^{12} a^{-4} +6 z^{11} a^{-1} +10 z^{11} a^{-3} +4 z^{11} a^{-5} +6 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10} a^{-6} +8 z^{10}+7 a z^9-13 z^9 a^{-1} -32 z^9 a^{-3} -11 z^9 a^{-5} +z^9 a^{-7} +4 a^2 z^8-32 z^8 a^{-2} -12 z^8 a^{-4} -6 z^8 a^{-6} -22 z^8+a^3 z^7-21 a z^7+6 z^7 a^{-1} +45 z^7 a^{-3} +19 z^7 a^{-5} +2 z^7 a^{-7} -13 a^2 z^6+44 z^6 a^{-2} +23 z^6 a^{-4} +12 z^6 a^{-6} +4 z^6 a^{-8} +16 z^6-3 a^3 z^5+16 a z^5-2 z^5 a^{-1} -27 z^5 a^{-3} -8 z^5 a^{-5} -z^5 a^{-7} +z^5 a^{-9} +11 a^2 z^4-24 z^4 a^{-2} -7 z^4 a^{-4} -7 z^4 a^{-6} -7 z^4 a^{-8} -6 z^4+2 a^3 z^3-4 a z^3-2 z^3 a^{-1} +7 z^3 a^{-3} +z^3 a^{-5} -4 z^3 a^{-7} -2 z^3 a^{-9} -2 a^2 z^2+z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-6} +2 z^2 a^{-8} -z^2+z a^{-7} +z a^{-9} + a^{-2} +2 a^{-4} + a^{-6} +1}

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents