K14n27248

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27248

Polynomial invariants

Jones polynomial	Data:K14n27248/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+18 t^3-44 t^2+70 t-81+70 t^{-1} -44 t^{-2} +18 t^{-3} -3 t^{-4} }
Conway polynomial	Data:K14n27248/Conway Polynomial
Determinant	Data:K14n27248/Determinant
Signature	Data:K14n27248/Signature
HOMFLY-PT polynomial	$z^{6}a^{12}+2z^{4}a^{12}-z^{8}a^{10}-2z^{6}a^{10}+z^{4}a^{10}+z^{2}a^{10}-2a^{10}-2z^{8}a^{8}-8z^{6}a^{8}-10z^{4}a^{8}-4z^{2}a^{8}+a^{8}+3z^{6}a^{6}+11z^{4}a^{6}+11z^{2}a^{6}+2a^{6}$
Kauffman polynomial	$z^{6}a^{18}-z^{4}a^{18}+5z^{7}a^{17}-7z^{5}a^{17}+2z^{3}a^{17}+12z^{8}a^{16}-20z^{6}a^{16}+10z^{4}a^{16}-2z^{2}a^{16}+18z^{9}a^{15}-32z^{7}a^{15}+20z^{5}a^{15}-6z^{3}a^{15}+17z^{10}a^{14}-20z^{8}a^{14}-6z^{6}a^{14}+14z^{4}a^{14}-4z^{2}a^{14}+10z^{11}a^{13}+8z^{9}a^{13}-52z^{7}a^{13}+52z^{5}a^{13}-19z^{3}a^{13}+4za^{13}+3z^{12}a^{12}+24z^{10}a^{12}-59z^{8}a^{12}+40z^{6}a^{12}-5z^{4}a^{12}+18z^{11}a^{11}-26z^{9}a^{11}-2z^{7}a^{11}+19z^{5}a^{11}-7z^{3}a^{11}+3z^{12}a^{10}+15z^{10}a^{10}-46z^{8}a^{10}+45z^{6}a^{10}-16z^{4}a^{10}-5z^{2}a^{10}+2a^{10}+8z^{11}a^{9}-13z^{9}a^{9}+13z^{7}a^{9}-17z^{5}a^{9}+11z^{3}a^{9}-4za^{9}+8z^{10}a^{8}-19z^{8}a^{8}+26z^{6}a^{8}-25z^{4}a^{8}+6z^{2}a^{8}+a^{8}+3z^{9}a^{7}-11z^{5}a^{7}+7z^{3}a^{7}+6z^{6}a^{6}-17z^{4}a^{6}+13z^{2}a^{6}-2a^{6}$

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