K14n27188

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27188

Polynomial invariants

Jones polynomial	Data:K14n27188/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 -3 t^4+12 t^3-23 t^2+32 t-35+32 t^{-1} -23 t^{-2} +12 t^{-3} -3 t^{-4} }
Conway polynomial	Data:K14n27188/Conway Polynomial
Determinant	Data:K14n27188/Determinant
Signature	Data:K14n27188/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-6}-z^{8}a^{-8}+2z^{6}a^{-4}-11z^{6}a^{-6}-4z^{6}a^{-8}+z^{6}a^{-10}+9z^{4}a^{-4}-20z^{4}a^{-6}-4z^{4}a^{-8}+4z^{4}a^{-10}+12z^{2}a^{-4}-15z^{2}a^{-6}-z^{2}a^{-8}+4z^{2}a^{-10}+5a^{-4}-5a^{-6}+a^{-10}$
Kauffman polynomial	$z^{12}a^{-6}+z^{12}a^{-8}+z^{11}a^{-5}+6z^{11}a^{-7}+5z^{11}a^{-9}+11z^{10}a^{-8}+11z^{10}a^{-10}-z^{9}a^{-5}-17z^{9}a^{-7}-2z^{9}a^{-9}+14z^{9}a^{-11}+3z^{8}a^{-4}-7z^{8}a^{-6}-53z^{8}a^{-8}-30z^{8}a^{-10}+13z^{8}a^{-12}-9z^{7}a^{-5}-2z^{7}a^{-7}-40z^{7}a^{-9}-37z^{7}a^{-11}+10z^{7}a^{-13}-15z^{6}a^{-4}-8z^{6}a^{-6}+67z^{6}a^{-8}+28z^{6}a^{-10}-26z^{6}a^{-12}+6z^{6}a^{-14}+15z^{5}a^{-5}+28z^{5}a^{-7}+70z^{5}a^{-9}+39z^{5}a^{-11}-15z^{5}a^{-13}+3z^{5}a^{-15}+26z^{4}a^{-4}+36z^{4}a^{-6}-35z^{4}a^{-8}-21z^{4}a^{-10}+18z^{4}a^{-12}-5z^{4}a^{-14}+z^{4}a^{-16}-2z^{3}a^{-5}-17z^{3}a^{-7}-54z^{3}a^{-9}-27z^{3}a^{-11}+10z^{3}a^{-13}-2z^{3}a^{-15}-19z^{2}a^{-4}-23z^{2}a^{-6}+7z^{2}a^{-8}+6z^{2}a^{-10}-2z^{2}a^{-12}+2z^{2}a^{-14}-z^{2}a^{-16}-2za^{-5}+4za^{-7}+14za^{-9}+8za^{-11}+5a^{-4}+5a^{-6}-a^{-10}$

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