K14n27309

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K14n27309/Jones Polynomial
Alexander polynomial	$2t^{4}-11t^{3}+29t^{2}-49t+59-49t^{-1}+29t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	Data:K14n27309/Conway Polynomial
Determinant	Data:K14n27309/Determinant
Signature	Data:K14n27309/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+3z^{6}a^{-2}-z^{6}a^{-4}+4z^{6}-3a^{2}z^{4}+z^{4}a^{-2}-z^{4}a^{-4}+6z^{4}-2a^{2}z^{2}-4z^{2}a^{-2}+3z^{2}a^{-4}-z^{2}a^{-6}+4z^{2}-3a^{-2}+3a^{-4}-a^{-6}+2$
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} +7 z^{11} a^{-1} +10 z^{11} a^{-3} +3 z^{11} a^{-5} +10 z^{10} a^{-2} -z^{10} a^{-4} +z^{10} a^{-6} +12 z^{10}+14 a z^9-5 z^9 a^{-1} -26 z^9 a^{-3} -7 z^9 a^{-5} +12 a^2 z^8-32 z^8 a^{-2} +4 z^8 a^{-4} +4 z^8 a^{-6} -20 z^8+8 a^3 z^7-25 a z^7-12 z^7 a^{-1} +28 z^7 a^{-3} +10 z^7 a^{-5} +3 z^7 a^{-7} +4 a^4 z^6-18 a^2 z^6+18 z^6 a^{-2} -35 z^6 a^{-4} -23 z^6 a^{-6} +8 z^6+a^5 z^5-10 a^3 z^5+18 a z^5+12 z^5 a^{-1} -34 z^5 a^{-3} -27 z^5 a^{-5} -10 z^5 a^{-7} -5 a^4 z^4+10 a^2 z^4+8 z^4 a^{-2} +42 z^4 a^{-4} +27 z^4 a^{-6} +8 z^4-a^5 z^3+3 a^3 z^3-2 a z^3-z^3 a^{-1} +22 z^3 a^{-3} +27 z^3 a^{-5} +10 z^3 a^{-7} +a^4 z^2-a^2 z^2-13 z^2 a^{-2} -18 z^2 a^{-4} -9 z^2 a^{-6} -6 z^2-z a^{-1} -5 z a^{-3} -7 z a^{-5} -3 z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2}

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents