K14n27029

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27029

Polynomial invariants

Jones polynomial	Data:K14n27029/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^5-5 t^4+15 t^3-33 t^2+55 t-65+55 t^{-1} -33 t^{-2} +15 t^{-3} -5 t^{-4} + t^{-5} }
Conway polynomial	Data:K14n27029/Conway Polynomial
Determinant	Data:K14n27029/Determinant
Signature	Data:K14n27029/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-z^{8}a^{-4}-z^{8}+20z^{6}a^{-2}-5z^{6}a^{-4}-5z^{6}+28z^{4}a^{-2}-11z^{4}a^{-4}-10z^{4}+20z^{2}a^{-2}-10z^{2}a^{-4}+z^{2}a^{-6}-8z^{2}+6a^{-2}-3a^{-4}-2$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}a^{-4}+8z^{11}a^{-1}+13z^{11}a^{-3}+5z^{11}a^{-5}+21z^{10}a^{-2}+14z^{10}a^{-4}+4z^{10}a^{-6}+11z^{10}+8az^{9}-7z^{9}a^{-1}-16z^{9}a^{-3}+z^{9}a^{-7}+4a^{2}z^{8}-77z^{8}a^{-2}-45z^{8}a^{-4}+z^{8}a^{-6}-27z^{8}+a^{3}z^{7}-19az^{7}-22z^{7}a^{-1}-28z^{7}a^{-3}-18z^{7}a^{-5}+8z^{7}a^{-7}-11a^{2}z^{6}+103z^{6}a^{-2}+56z^{6}a^{-4}-6z^{6}a^{-6}+5z^{6}a^{-8}+25z^{6}-3a^{3}z^{5}+11az^{5}+36z^{5}a^{-1}+73z^{5}a^{-3}+41z^{5}a^{-5}-9z^{5}a^{-7}+z^{5}a^{-9}+9a^{2}z^{4}-77z^{4}a^{-2}-30z^{4}a^{-4}+10z^{4}a^{-6}-5z^{4}a^{-8}-23z^{4}+3a^{3}z^{3}-2az^{3}-31z^{3}a^{-1}-55z^{3}a^{-3}-28z^{3}a^{-5}-z^{3}a^{-9}-2a^{2}z^{2}+29z^{2}a^{-2}+13z^{2}a^{-4}-4z^{2}a^{-6}-z^{2}a^{-8}+11z^{2}-a^{3}z+az+9za^{-1}+14za^{-3}+7za^{-5}-6a^{-2}-3a^{-4}-2$

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