K13n608

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n608

Polynomial invariants

Jones polynomial	Data:K13n608/Jones Polynomial
Alexander polynomial	$2t^{3}-7t^{2}+14t-17+14t^{-1}-7t^{-2}+2t^{-3}$
Conway polynomial	Data:K13n608/Conway Polynomial
Determinant	63
Signature	2
HOMFLY-PT polynomial	$2z^{6}a^{-2}+10z^{4}a^{-2}-3z^{4}a^{-4}-2z^{4}+18z^{2}a^{-2}-9z^{2}a^{-4}+z^{2}a^{-6}-6z^{2}+11a^{-2}-7a^{-4}+a^{-6}-4$
Kauffman polynomial	$z^{10}a^{-2}+z^{10}a^{-4}+2z^{9}a^{-1}+4z^{9}a^{-3}+2z^{9}a^{-5}-2z^{8}a^{-2}-2z^{8}a^{-4}+z^{8}a^{-6}+z^{8}-8z^{7}a^{-1}-16z^{7}a^{-3}-8z^{7}a^{-5}+6z^{6}a^{-2}+6z^{6}a^{-4}+3az^{5}+20z^{5}a^{-1}+36z^{5}a^{-3}+23z^{5}a^{-5}+4z^{5}a^{-7}-15z^{4}a^{-2}-8z^{4}a^{-4}+z^{4}a^{-6}+z^{4}a^{-8}-7z^{4}-9az^{3}-29z^{3}a^{-1}-39z^{3}a^{-3}-25z^{3}a^{-5}-6z^{3}a^{-7}+20z^{2}a^{-2}+12z^{2}a^{-4}-z^{2}a^{-6}-z^{2}a^{-8}+8z^{2}+5az+14za^{-1}+18za^{-3}+10za^{-5}+za^{-7}-11a^{-2}-7a^{-4}-a^{-6}-4$

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