K14n27356

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27356

Polynomial invariants

Jones polynomial	Data:K14n27356/Jones Polynomial
Alexander polynomial	$-2t^{4}+9t^{3}-23t^{2}+41t-49+41t^{-1}-23t^{-2}+9t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n27356/Conway Polynomial
Determinant	Data:K14n27356/Determinant
Signature	Data:K14n27356/Signature
HOMFLY-PT 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 -z^8 a^{-4} -z^8 a^{-6} +z^6 a^{-2} -4 z^6 a^{-4} -5 z^6 a^{-6} +z^6 a^{-8} +3 z^4 a^{-2} -5 z^4 a^{-4} -11 z^4 a^{-6} +4 z^4 a^{-8} +4 z^2 a^{-2} -12 z^2 a^{-6} +6 z^2 a^{-8} +2 a^{-2} +2 a^{-4} -6 a^{-6} +3 a^{-8} }
Kauffman polynomial	$2z^{12}a^{-6}+2z^{12}a^{-8}+5z^{11}a^{-5}+10z^{11}a^{-7}+5z^{11}a^{-9}+6z^{10}a^{-4}+4z^{10}a^{-6}+3z^{10}a^{-8}+5z^{10}a^{-10}+4z^{9}a^{-3}-8z^{9}a^{-5}-32z^{9}a^{-7}-17z^{9}a^{-9}+3z^{9}a^{-11}+z^{8}a^{-2}-12z^{8}a^{-4}-20z^{8}a^{-6}-28z^{8}a^{-8}-20z^{8}a^{-10}+z^{8}a^{-12}-5z^{7}a^{-3}-z^{7}a^{-5}+37z^{7}a^{-7}+20z^{7}a^{-9}-13z^{7}a^{-11}+5z^{6}a^{-2}+10z^{6}a^{-4}+11z^{6}a^{-6}+37z^{6}a^{-8}+26z^{6}a^{-10}-5z^{6}a^{-12}+4z^{5}a^{-1}+8z^{5}a^{-3}+9z^{5}a^{-5}-34z^{5}a^{-7}-22z^{5}a^{-9}+17z^{5}a^{-11}-5z^{4}a^{-2}+3z^{4}a^{-4}+10z^{4}a^{-6}-24z^{4}a^{-8}-17z^{4}a^{-10}+8z^{4}a^{-12}+z^{4}-3z^{3}a^{-1}-3z^{3}a^{-3}-4z^{3}a^{-5}+21z^{3}a^{-7}+18z^{3}a^{-9}-7z^{3}a^{-11}+4z^{2}a^{-2}-4z^{2}a^{-4}-17z^{2}a^{-6}+3z^{2}a^{-8}+7z^{2}a^{-10}-4z^{2}a^{-12}-z^{2}+2za^{-3}-za^{-5}-9za^{-7}-5za^{-9}+za^{-11}-2a^{-2}+2a^{-4}+6a^{-6}+3a^{-8}$

Modifying This Page

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