K14n25557

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n25557

Polynomial invariants

Jones polynomial	Data:K14n25557/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^5-7 t^4+25 t^3-55 t^2+83 t-93+83 t^{-1} -55 t^{-2} +25 t^{-3} -7 t^{-4} + t^{-5} }
Conway polynomial	Data:K14n25557/Conway Polynomial
Determinant	Data:K14n25557/Determinant
Signature	Data:K14n25557/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+6a^{2}z^{8}-2z^{8}-5a^{4}z^{6}+16a^{2}z^{6}+z^{6}a^{-2}-8z^{6}+a^{6}z^{4}-10a^{4}z^{4}+24a^{2}z^{4}+2z^{4}a^{-2}-12z^{4}+a^{6}z^{2}-9a^{4}z^{2}+18a^{2}z^{2}+z^{2}a^{-2}-10z^{2}-2a^{4}+5a^{2}+a^{-2}-3$
Kauffman polynomial	$7a^{2}z^{12}+7z^{12}+25a^{3}z^{11}+42az^{11}+17z^{11}a^{-1}+33a^{4}z^{10}+47a^{2}z^{10}+15z^{10}a^{-2}+29z^{10}+19a^{5}z^{9}-41a^{3}z^{9}-102az^{9}-36z^{9}a^{-1}+6z^{9}a^{-3}+4a^{6}z^{8}-91a^{4}z^{8}-198a^{2}z^{8}-45z^{8}a^{-2}+z^{8}a^{-4}-149z^{8}-33a^{5}z^{7}-10a^{3}z^{7}+35az^{7}-4z^{7}a^{-1}-16z^{7}a^{-3}+12a^{6}z^{6}+123a^{4}z^{6}+238a^{2}z^{6}+44z^{6}a^{-2}-2z^{6}a^{-4}+173z^{6}+8a^{7}z^{5}+44a^{5}z^{5}+47a^{3}z^{5}+32az^{5}+35z^{5}a^{-1}+14z^{5}a^{-3}+a^{8}z^{4}-6a^{6}z^{4}-83a^{4}z^{4}-145a^{2}z^{4}-16z^{4}a^{-2}+z^{4}a^{-4}-86z^{4}-a^{7}z^{3}-23a^{5}z^{3}-35a^{3}z^{3}-22az^{3}-13z^{3}a^{-1}-4z^{3}a^{-3}+a^{6}z^{2}+23a^{4}z^{2}+44a^{2}z^{2}+3z^{2}a^{-2}+25z^{2}+4a^{5}z+8a^{3}z+5az+za^{-1}-2a^{4}-5a^{2}-a^{-2}-3$

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