K14n27073

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27073

Polynomial invariants

Jones polynomial	Data:K14n27073/Jones Polynomial
Alexander 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 t^4-11 t^3+47 t^2-107 t+141-107 t^{-1} +47 t^{-2} -11 t^{-3} + t^{-4} }
Conway polynomial	Data:K14n27073/Conway Polynomial
Determinant	Data:K14n27073/Determinant
Signature	Data:K14n27073/Signature
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-2z^{6}a^{-2}+2z^{6}+2a^{4}z^{4}-4a^{2}z^{4}-2z^{4}a^{-2}+z^{4}a^{-4}+4z^{4}-a^{4}z^{2}-a^{2}z^{2}-z^{2}a^{-2}+z^{2}+a^{6}-2a^{4}+2a^{2}+a^{-2}-1$
Kauffman polynomial	$5a^{2}z^{12}+5z^{12}+13a^{3}z^{11}+32az^{11}+19z^{11}a^{-1}+11a^{4}z^{10}+30a^{2}z^{10}+31z^{10}a^{-2}+50z^{10}+3a^{5}z^{9}-15a^{3}z^{9}-37az^{9}+10z^{9}a^{-1}+29z^{9}a^{-3}-15a^{4}z^{8}-82a^{2}z^{8}-41z^{8}a^{-2}+17z^{8}a^{-4}-125z^{8}+9a^{5}z^{7}+12a^{3}z^{7}-28az^{7}-82z^{7}a^{-1}-45z^{7}a^{-3}+6z^{7}a^{-5}+6a^{6}z^{6}+14a^{4}z^{6}+66a^{2}z^{6}+4z^{6}a^{-2}-21z^{6}a^{-4}+z^{6}a^{-6}+84z^{6}-25a^{5}z^{5}-28a^{3}z^{5}+37az^{5}+66z^{5}a^{-1}+22z^{5}a^{-3}-4z^{5}a^{-5}-11a^{6}z^{4}-22a^{4}z^{4}-28a^{2}z^{4}+7z^{4}a^{-2}+7z^{4}a^{-4}-17z^{4}+15a^{5}z^{3}+22a^{3}z^{3}-2az^{3}-13z^{3}a^{-1}-4z^{3}a^{-3}+6a^{6}z^{2}+13a^{4}z^{2}+10a^{2}z^{2}+3z^{2}-3a^{5}z-5a^{3}z-3az-za^{-1}-a^{6}-2a^{4}-2a^{2}-a^{-2}-1$

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.