K14n27252

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27252

Polynomial invariants

Jones polynomial	Data:K14n27252/Jones Polynomial
Alexander polynomial	$-t^{5}+4t^{4}-10t^{3}+17t^{2}-22t+25-22t^{-1}+17t^{-2}-10t^{-3}+4t^{-4}-t^{-5}$
Conway polynomial	Data:K14n27252/Conway Polynomial
Determinant	Data:K14n27252/Determinant
Signature	Data:K14n27252/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+z^{8}a^{-2}-8z^{8}a^{-4}+z^{8}a^{-6}+5z^{6}a^{-2}-24z^{6}a^{-4}+6z^{6}a^{-6}+6z^{4}a^{-2}-32z^{4}a^{-4}+12z^{4}a^{-6}+z^{4}-2z^{2}a^{-2}-16z^{2}a^{-4}+9z^{2}a^{-6}+4z^{2}-4a^{-2}-a^{-4}+2a^{-6}+4$
Kauffman polynomial	$z^{12}a^{-2}+z^{12}a^{-4}+z^{11}a^{-1}+5z^{11}a^{-3}+4z^{11}a^{-5}-3z^{10}a^{-2}+4z^{10}a^{-4}+7z^{10}a^{-6}-3z^{9}a^{-1}-23z^{9}a^{-3}-11z^{9}a^{-5}+9z^{9}a^{-7}+3z^{8}a^{-2}-31z^{8}a^{-4}-22z^{8}a^{-6}+9z^{8}a^{-8}+3z^{8}-2z^{7}a^{-1}+38z^{7}a^{-3}+7z^{7}a^{-5}-26z^{7}a^{-7}+7z^{7}a^{-9}-14z^{6}a^{-2}+55z^{6}a^{-4}+26z^{6}a^{-6}-21z^{6}a^{-8}+5z^{6}a^{-10}-17z^{6}+8z^{5}a^{-1}-39z^{5}a^{-3}-6z^{5}a^{-5}+28z^{5}a^{-7}-10z^{5}a^{-9}+3z^{5}a^{-11}+30z^{4}a^{-2}-49z^{4}a^{-4}-23z^{4}a^{-6}+19z^{4}a^{-8}-5z^{4}a^{-10}+z^{4}a^{-12}+31z^{4}+26z^{3}a^{-3}+5z^{3}a^{-5}-13z^{3}a^{-7}+5z^{3}a^{-9}-3z^{3}a^{-11}-20z^{2}a^{-2}+18z^{2}a^{-4}+12z^{2}a^{-6}-4z^{2}a^{-8}+z^{2}a^{-10}-z^{2}a^{-12}-20z^{2}-2za^{-1}-7za^{-3}-3za^{-5}+2za^{-7}+4a^{-2}-a^{-4}-2a^{-6}+4$

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