K14a15451

Knot presentations

Dowker-Thistlethwaite code

6 12 18 22 24 2 20 26 28 4 10 8 14 16

Notes on presentations of K14a15451

Polynomial invariants

Jones polynomial	Data:K14a15451/Jones Polynomial
Alexander polynomial	$-2t^{5}+10t^{4}-23t^{3}+38t^{2}-50t+55-50t^{-1}+38t^{-2}-23t^{-3}+10t^{-4}-2t^{-5}$
Conway polynomial	Data:K14a15451/Conway Polynomial
Determinant	Data:K14a15451/Determinant
Signature	Data:K14a15451/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-8}-z^{10}a^{-10}+z^{8}a^{-6}-6z^{8}a^{-8}-6z^{8}a^{-10}+z^{8}a^{-12}+6z^{6}a^{-6}-11z^{6}a^{-8}-13z^{6}a^{-10}+5z^{6}a^{-12}+12z^{4}a^{-6}-4z^{4}a^{-8}-16z^{4}a^{-10}+8z^{4}a^{-12}+9z^{2}a^{-6}+6z^{2}a^{-8}-16z^{2}a^{-10}+6z^{2}a^{-12}+2a^{-6}+4a^{-8}-8a^{-10}+3a^{-12}$
Kauffman polynomial	$2z^{13}a^{-9}+2z^{13}a^{-11}+4z^{12}a^{-8}+12z^{12}a^{-10}+8z^{12}a^{-12}+3z^{11}a^{-7}+14z^{11}a^{-11}+17z^{11}a^{-13}+z^{10}a^{-6}-21z^{10}a^{-8}-53z^{10}a^{-10}-6z^{10}a^{-12}+25z^{10}a^{-14}-19z^{9}a^{-7}-40z^{9}a^{-9}-88z^{9}a^{-11}-39z^{9}a^{-13}+28z^{9}a^{-15}-7z^{8}a^{-6}+33z^{8}a^{-8}+66z^{8}a^{-10}-62z^{8}a^{-12}-63z^{8}a^{-14}+25z^{8}a^{-16}+42z^{7}a^{-7}+98z^{7}a^{-9}+129z^{7}a^{-11}-8z^{7}a^{-13}-63z^{7}a^{-15}+18z^{7}a^{-17}+18z^{6}a^{-6}-11z^{6}a^{-8}-22z^{6}a^{-10}+93z^{6}a^{-12}+32z^{6}a^{-14}-44z^{6}a^{-16}+10z^{6}a^{-18}-37z^{5}a^{-7}-84z^{5}a^{-9}-69z^{5}a^{-11}+40z^{5}a^{-13}+36z^{5}a^{-15}-22z^{5}a^{-17}+4z^{5}a^{-19}-21z^{4}a^{-6}-6z^{4}a^{-8}+15z^{4}a^{-10}-28z^{4}a^{-12}-2z^{4}a^{-14}+19z^{4}a^{-16}-6z^{4}a^{-18}+z^{4}a^{-20}+9z^{3}a^{-7}+32z^{3}a^{-9}+29z^{3}a^{-11}-15z^{3}a^{-13}-13z^{3}a^{-15}+8z^{3}a^{-17}+11z^{2}a^{-6}-4z^{2}a^{-8}-22z^{2}a^{-10}-3z^{2}a^{-12}-2z^{2}a^{-14}-4z^{2}a^{-16}+2z^{2}a^{-18}+za^{-7}-8za^{-9}-10za^{-11}+2za^{-13}+2za^{-15}-za^{-17}-2a^{-6}+4a^{-8}+8a^{-10}+3a^{-12}$

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