K13a4707

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a4707

Polynomial invariants

Jones polynomial	Data:K13a4707/Jones Polynomial
Alexander polynomial	$-2t^{4}+11t^{3}-29t^{2}+47t-53+47t^{-1}-29t^{-2}+11t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a4707/Conway Polynomial
Determinant	231
Signature	2
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-4z^{6}a^{-2}-4z^{6}a^{-4}+2z^{6}a^{-6}+z^{6}-5z^{4}a^{-2}-7z^{4}a^{-4}+7z^{4}a^{-6}-z^{4}a^{-8}+3z^{4}-z^{2}a^{-2}-8z^{2}a^{-4}+7z^{2}a^{-6}-2z^{2}a^{-8}+2z^{2}+2a^{-2}-4a^{-4}+2a^{-6}+1$
Kauffman polynomial	$3z^{12}a^{-4}+3z^{12}a^{-6}+8z^{11}a^{-3}+15z^{11}a^{-5}+7z^{11}a^{-7}+10z^{10}a^{-2}+3z^{10}a^{-4}+z^{10}a^{-6}+8z^{10}a^{-8}+10z^{9}a^{-1}-25z^{9}a^{-3}-64z^{9}a^{-5}-22z^{9}a^{-7}+7z^{9}a^{-9}-28z^{8}a^{-2}-42z^{8}a^{-4}-35z^{8}a^{-6}-25z^{8}a^{-8}+4z^{8}a^{-10}+8z^{8}+4az^{7}-26z^{7}a^{-1}+35z^{7}a^{-3}+110z^{7}a^{-5}+20z^{7}a^{-7}-24z^{7}a^{-9}+z^{7}a^{-11}+a^{2}z^{6}+28z^{6}a^{-2}+94z^{6}a^{-4}+74z^{6}a^{-6}+16z^{6}a^{-8}-14z^{6}a^{-10}-21z^{6}-9az^{5}+19z^{5}a^{-1}-18z^{5}a^{-3}-69z^{5}a^{-5}+20z^{5}a^{-9}-3z^{5}a^{-11}-2a^{2}z^{4}-8z^{4}a^{-2}-72z^{4}a^{-4}-54z^{4}a^{-6}+5z^{4}a^{-8}+11z^{4}a^{-10}+14z^{4}+2az^{3}-3z^{3}a^{-1}+3z^{3}a^{-3}+z^{3}a^{-5}-13z^{3}a^{-7}-5z^{3}a^{-9}+z^{3}a^{-11}+3z^{2}a^{-2}+21z^{2}a^{-4}+11z^{2}a^{-6}-5z^{2}a^{-8}-2z^{2}a^{-10}-4z^{2}+3za^{-3}+9za^{-5}+7za^{-7}+za^{-9}-2a^{-2}-4a^{-4}-2a^{-6}+1$

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