K13a4453

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a4453

Polynomial invariants

Jones polynomial	Data:K13a4453/Jones Polynomial
Alexander polynomial	$11t^{3}-39t^{2}+70t-83+70t^{-1}-39t^{-2}+11t^{-3}$
Conway polynomial	Data:K13a4453/Conway Polynomial
Determinant	323
Signature	6
HOMFLY-PT polynomial	$z^{6}a^{-6}+4z^{6}a^{-8}+5z^{6}a^{-10}+z^{6}a^{-12}+2z^{4}a^{-6}+12z^{4}a^{-8}+16z^{4}a^{-10}-2z^{4}a^{-12}-z^{4}a^{-14}+9z^{2}a^{-8}+15z^{2}a^{-10}-10z^{2}a^{-12}-z^{2}a^{-14}+a^{-8}+5a^{-10}-6a^{-12}+a^{-14}$
Kauffman polynomial	$3z^{12}a^{-12}+3z^{12}a^{-14}+10z^{11}a^{-11}+18z^{11}a^{-13}+8z^{11}a^{-15}+16z^{10}a^{-10}+20z^{10}a^{-12}+14z^{10}a^{-14}+10z^{10}a^{-16}+15z^{9}a^{-9}-8z^{9}a^{-11}-40z^{9}a^{-13}-9z^{9}a^{-15}+8z^{9}a^{-17}+10z^{8}a^{-8}-40z^{8}a^{-10}-76z^{8}a^{-12}-51z^{8}a^{-14}-21z^{8}a^{-16}+4z^{8}a^{-18}+4z^{7}a^{-7}-37z^{7}a^{-9}-26z^{7}a^{-11}+29z^{7}a^{-13}-7z^{7}a^{-15}-20z^{7}a^{-17}+z^{7}a^{-19}+z^{6}a^{-6}-24z^{6}a^{-8}+47z^{6}a^{-10}+111z^{6}a^{-12}+61z^{6}a^{-14}+11z^{6}a^{-16}-11z^{6}a^{-18}-7z^{5}a^{-7}+34z^{5}a^{-9}+59z^{5}a^{-11}+8z^{5}a^{-13}+7z^{5}a^{-15}+14z^{5}a^{-17}-3z^{5}a^{-19}-2z^{4}a^{-6}+20z^{4}a^{-8}-31z^{4}a^{-10}-78z^{4}a^{-12}-40z^{4}a^{-14}-6z^{4}a^{-16}+9z^{4}a^{-18}-10z^{3}a^{-9}-35z^{3}a^{-11}-24z^{3}a^{-13}-6z^{3}a^{-15}-4z^{3}a^{-17}+3z^{3}a^{-19}-9z^{2}a^{-8}+20z^{2}a^{-10}+31z^{2}a^{-12}+8z^{2}a^{-14}+4z^{2}a^{-16}-2z^{2}a^{-18}+8za^{-11}+7za^{-13}+2za^{-15}+2za^{-17}-za^{-19}+a^{-8}-5a^{-10}-6a^{-12}-a^{-14}$

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