K13n2334

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n2334

Polynomial invariants

Jones polynomial	Data:K13n2334/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+14t^{2}-18t+19-18t^{-1}+14t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K13n2334/Conway Polynomial
Determinant	97
Signature	4
HOMFLY-PT polynomial	$z^{8}a^{-4}-2z^{6}a^{-2}+5z^{6}a^{-4}-z^{6}a^{-6}-8z^{4}a^{-2}+8z^{4}a^{-4}-3z^{4}a^{-6}+z^{4}-8z^{2}a^{-2}+5z^{2}a^{-4}+3z^{2}-2a^{-2}+2a^{-6}-a^{-8}+2$
Kauffman polynomial	$z^{11}a^{-3}+z^{11}a^{-5}+3z^{10}a^{-2}+5z^{10}a^{-4}+2z^{10}a^{-6}+3z^{9}a^{-1}+4z^{9}a^{-3}+2z^{9}a^{-5}+z^{9}a^{-7}-9z^{8}a^{-2}-12z^{8}a^{-4}-2z^{8}a^{-6}+z^{8}-14z^{7}a^{-1}-28z^{7}a^{-3}-8z^{7}a^{-5}+6z^{7}a^{-7}-4z^{6}a^{-2}-7z^{6}a^{-4}+2z^{6}a^{-6}+10z^{6}a^{-8}-5z^{6}+20z^{5}a^{-1}+31z^{5}a^{-3}-9z^{5}a^{-5}-14z^{5}a^{-7}+6z^{5}a^{-9}+25z^{4}a^{-2}+19z^{4}a^{-4}-16z^{4}a^{-6}-16z^{4}a^{-8}+3z^{4}a^{-10}+9z^{4}-9z^{3}a^{-1}-2z^{3}a^{-3}+16z^{3}a^{-5}+4z^{3}a^{-7}-4z^{3}a^{-9}+z^{3}a^{-11}-15z^{2}a^{-2}-4z^{2}a^{-4}+11z^{2}a^{-6}+7z^{2}a^{-8}-7z^{2}-3za^{-3}-5za^{-5}-za^{-7}+za^{-9}+2a^{-2}-2a^{-6}-a^{-8}+2$

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