K13a4365

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a4365

Polynomial invariants

Jones polynomial	Data:K13a4365/Jones Polynomial
Alexander polynomial	$-3t^{4}+18t^{3}-44t^{2}+70t-81+70t^{-1}-44t^{-2}+18t^{-3}-3t^{-4}$
Conway polynomial	Data:K13a4365/Conway Polynomial
Determinant	351
Signature	6
HOMFLY-PT polynomial	$-z^{8}a^{-6}-2z^{8}a^{-8}+z^{6}a^{-4}-2z^{6}a^{-6}-8z^{6}a^{-8}+3z^{6}a^{-10}+3z^{4}a^{-4}+2z^{4}a^{-6}-10z^{4}a^{-8}+10z^{4}a^{-10}-z^{4}a^{-12}+3z^{2}a^{-4}+4z^{2}a^{-6}-4z^{2}a^{-8}+8z^{2}a^{-10}-3z^{2}a^{-12}+a^{-4}+a^{-8}-a^{-12}$
Kauffman polynomial	$3z^{12}a^{-8}+3z^{12}a^{-10}+8z^{11}a^{-7}+20z^{11}a^{-9}+12z^{11}a^{-11}+8z^{10}a^{-6}+19z^{10}a^{-8}+33z^{10}a^{-10}+22z^{10}a^{-12}+4z^{9}a^{-5}-13z^{9}a^{-7}-32z^{9}a^{-9}+9z^{9}a^{-11}+24z^{9}a^{-13}+z^{8}a^{-4}-25z^{8}a^{-6}-81z^{8}a^{-8}-106z^{8}a^{-10}-33z^{8}a^{-12}+18z^{8}a^{-14}-14z^{7}a^{-5}-17z^{7}a^{-7}-33z^{7}a^{-9}-83z^{7}a^{-11}-43z^{7}a^{-13}+10z^{7}a^{-15}-4z^{6}a^{-4}+24z^{6}a^{-6}+85z^{6}a^{-8}+94z^{6}a^{-10}+6z^{6}a^{-12}-27z^{6}a^{-14}+4z^{6}a^{-16}+17z^{5}a^{-5}+36z^{5}a^{-7}+67z^{5}a^{-9}+94z^{5}a^{-11}+34z^{5}a^{-13}-11z^{5}a^{-15}+z^{5}a^{-17}+6z^{4}a^{-4}-8z^{4}a^{-6}-33z^{4}a^{-8}-36z^{4}a^{-10}+7z^{4}a^{-12}+21z^{4}a^{-14}-3z^{4}a^{-16}-8z^{3}a^{-5}-17z^{3}a^{-7}-32z^{3}a^{-9}-42z^{3}a^{-11}-11z^{3}a^{-13}+7z^{3}a^{-15}-z^{3}a^{-17}-4z^{2}a^{-4}+2z^{2}a^{-6}+3z^{2}a^{-8}+3z^{2}a^{-10}+z^{2}a^{-12}-5z^{2}a^{-14}+za^{-5}+4za^{-7}+4za^{-9}+6za^{-11}+3za^{-13}-2za^{-15}+a^{-4}+a^{-8}-a^{-12}$

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