K14n27005

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27005

Polynomial invariants

Jones polynomial	Data:K14n27005/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 2 t^4-14 t^3+43 t^2-77 t+93-77 t^{-1} +43 t^{-2} -14 t^{-3} +2 t^{-4} }
Conway polynomial	Data:K14n27005/Conway Polynomial
Determinant	Data:K14n27005/Determinant
Signature	Data:K14n27005/Signature
HOMFLY-PT polynomial	$z^{8}a^{-6}+z^{8}a^{-8}-z^{6}a^{-4}+2z^{6}a^{-6}+2z^{6}a^{-8}-z^{6}a^{-10}-z^{4}a^{-10}+5z^{2}a^{-4}-3z^{2}a^{-6}-2z^{2}a^{-8}+z^{2}a^{-10}+4a^{-4}-3a^{-6}-a^{-8}+a^{-10}$
Kauffman polynomial	$3z^{12}a^{-8}+3z^{12}a^{-10}+7z^{11}a^{-7}+19z^{11}a^{-9}+12z^{11}a^{-11}+6z^{10}a^{-6}+19z^{10}a^{-8}+32z^{10}a^{-10}+19z^{10}a^{-12}+2z^{9}a^{-5}+z^{9}a^{-7}-13z^{9}a^{-9}+3z^{9}a^{-11}+15z^{9}a^{-13}-42z^{8}a^{-8}-85z^{8}a^{-10}-37z^{8}a^{-12}+6z^{8}a^{-14}+9z^{7}a^{-5}-11z^{7}a^{-7}-54z^{7}a^{-9}-69z^{7}a^{-11}-34z^{7}a^{-13}+z^{7}a^{-15}+7z^{6}a^{-4}+z^{6}a^{-6}+20z^{6}a^{-8}+43z^{6}a^{-10}+6z^{6}a^{-12}-11z^{6}a^{-14}+z^{5}a^{-3}-9z^{5}a^{-5}+14z^{5}a^{-7}+72z^{5}a^{-9}+70z^{5}a^{-11}+21z^{5}a^{-13}-z^{5}a^{-15}-4z^{4}a^{-4}+2z^{4}a^{-6}+8z^{4}a^{-8}+10z^{4}a^{-10}+13z^{4}a^{-12}+5z^{4}a^{-14}+3z^{3}a^{-5}-2z^{3}a^{-7}-28z^{3}a^{-9}-27z^{3}a^{-11}-4z^{3}a^{-13}-6z^{2}a^{-4}-7z^{2}a^{-6}-z^{2}a^{-8}-7z^{2}a^{-10}-7z^{2}a^{-12}-4za^{-5}-3za^{-7}+5za^{-9}+4za^{-11}+4a^{-4}+3a^{-6}-a^{-8}-a^{-10}$

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