K14n26911

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n26911

Polynomial invariants

Jones polynomial	Data:K14n26911/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+11t^{2}-3t-5-3t^{-1}+11t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K14n26911/Conway Polynomial
Determinant	Data:K14n26911/Determinant
Signature	Data:K14n26911/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} -2 z^6 a^{-2} +4 z^6 a^{-4} -6 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-8} +z^4-z^2 a^{-2} -2 z^2 a^{-4} +5 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +2 z^2+2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }
Kauffman polynomial	$z^{12}a^{-4}+2z^{12}a^{-6}+z^{12}a^{-8}+4z^{11}a^{-3}+6z^{11}a^{-5}+6z^{11}a^{-7}+4z^{11}a^{-9}+6z^{10}a^{-2}+3z^{10}a^{-4}-8z^{10}a^{-6}+z^{10}a^{-8}+6z^{10}a^{-10}+4z^{9}a^{-1}-13z^{9}a^{-3}-37z^{9}a^{-5}-43z^{9}a^{-7}-19z^{9}a^{-9}+4z^{9}a^{-11}-25z^{8}a^{-2}-35z^{8}a^{-4}-19z^{8}a^{-6}-42z^{8}a^{-8}-31z^{8}a^{-10}+z^{8}a^{-12}+z^{8}-17z^{7}a^{-1}-z^{7}a^{-3}+61z^{7}a^{-5}+73z^{7}a^{-7}+9z^{7}a^{-9}-19z^{7}a^{-11}+25z^{6}a^{-2}+54z^{6}a^{-4}+70z^{6}a^{-6}+89z^{6}a^{-8}+40z^{6}a^{-10}-4z^{6}a^{-12}-4z^{6}+20z^{5}a^{-1}+8z^{5}a^{-3}-48z^{5}a^{-5}-39z^{5}a^{-7}+19z^{5}a^{-9}+22z^{5}a^{-11}-9z^{4}a^{-2}-40z^{4}a^{-4}-66z^{4}a^{-6}-63z^{4}a^{-8}-20z^{4}a^{-10}+3z^{4}a^{-12}+5z^{4}-7z^{3}a^{-1}+3z^{3}a^{-3}+20z^{3}a^{-5}+4z^{3}a^{-7}-14z^{3}a^{-9}-8z^{3}a^{-11}+5z^{2}a^{-2}+18z^{2}a^{-4}+25z^{2}a^{-6}+19z^{2}a^{-8}+5z^{2}a^{-10}-2z^{2}-2za^{-3}-4za^{-5}+za^{-7}+3za^{-9}-2a^{-2}-3a^{-4}-4a^{-6}-2a^{-8}$

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