K13n4737

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n4737

Polynomial invariants

Jones polynomial	Data:K13n4737/Jones Polynomial
Alexander polynomial	$-t^{4}+2t^{3}-2t^{2}+2t-1+2t^{-1}-2t^{-2}+2t^{-3}-t^{-4}$
Conway polynomial	Data:K13n4737/Conway Polynomial
Determinant	15
Signature	2
HOMFLY-PT polynomial	$-z^{8}a^{-2}-7z^{6}a^{-2}+z^{6}-16z^{4}a^{-2}+z^{4}a^{-6}+5z^{4}-13z^{2}a^{-2}-z^{2}a^{-4}+3z^{2}a^{-6}+7z^{2}-2a^{-2}-2a^{-4}+2a^{-6}+3$
Kauffman polynomial	$z^{9}a^{-1}+z^{9}a^{-7}+2z^{8}a^{-2}+z^{8}a^{-6}+z^{8}a^{-8}+2z^{8}+2az^{7}-4z^{7}a^{-1}+z^{7}a^{-3}-7z^{7}a^{-7}+a^{2}z^{6}-11z^{6}a^{-2}-z^{6}a^{-4}-7z^{6}a^{-6}-7z^{6}a^{-8}-9z^{6}-8az^{5}+4z^{5}a^{-1}-6z^{5}a^{-3}-3z^{5}a^{-5}+15z^{5}a^{-7}-4a^{2}z^{4}+20z^{4}a^{-2}+11z^{4}a^{-6}+15z^{4}a^{-8}+12z^{4}+6az^{3}-2z^{3}a^{-1}+9z^{3}a^{-3}+5z^{3}a^{-5}-12z^{3}a^{-7}+3a^{2}z^{2}-15z^{2}a^{-2}+5z^{2}a^{-4}-2z^{2}a^{-6}-10z^{2}a^{-8}-9z^{2}-za^{-1}-3za^{-3}+za^{-5}+3za^{-7}+2a^{-2}-2a^{-4}-2a^{-6}+3$

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