K13n2565

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n2565

Polynomial invariants

Jones polynomial	Data:K13n2565/Jones Polynomial
Alexander polynomial	$-t^{4}+2t^{3}-t^{2}+1-t^{-2}+2t^{-3}-t^{-4}$
Conway polynomial	Data:K13n2565/Conway Polynomial
Determinant	7
Signature	6
HOMFLY-PT polynomial	$-z^{8}a^{-4}+z^{6}a^{-2}-8z^{6}a^{-4}+z^{6}a^{-6}+6z^{4}a^{-2}-22z^{4}a^{-4}+7z^{4}a^{-6}+11z^{2}a^{-2}-25z^{2}a^{-4}+13z^{2}a^{-6}-z^{2}a^{-8}+6a^{-2}-10a^{-4}+6a^{-6}-a^{-8}$
Kauffman polynomial	$z^{11}a^{-3}+z^{11}a^{-5}+z^{10}a^{-2}+3z^{10}a^{-4}+2z^{10}a^{-6}-8z^{9}a^{-3}-6z^{9}a^{-5}+2z^{9}a^{-7}-9z^{8}a^{-2}-25z^{8}a^{-4}-15z^{8}a^{-6}+z^{8}a^{-8}+21z^{7}a^{-3}+6z^{7}a^{-5}-15z^{7}a^{-7}+29z^{6}a^{-2}+72z^{6}a^{-4}+36z^{6}a^{-6}-7z^{6}a^{-8}-20z^{5}a^{-3}+14z^{5}a^{-5}+34z^{5}a^{-7}-41z^{4}a^{-2}-90z^{4}a^{-4}-37z^{4}a^{-6}+12z^{4}a^{-8}+3z^{3}a^{-3}-24z^{3}a^{-5}-28z^{3}a^{-7}-z^{3}a^{-9}+25z^{2}a^{-2}+50z^{2}a^{-4}+21z^{2}a^{-6}-4z^{2}a^{-8}+3za^{-3}+9za^{-5}+7za^{-7}+za^{-9}-6a^{-2}-10a^{-4}-6a^{-6}-a^{-8}$

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