K14a16359

Knot presentations

Dowker-Thistlethwaite code

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

Polynomial invariants

Jones polynomial	Data:K14a16359/Jones Polynomial
Alexander polynomial	$4t^{4}-22t^{3}+65t^{2}-116t+139-116t^{-1}+65t^{-2}-22t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a16359/Conway Polynomial
Determinant	Data:K14a16359/Determinant
Signature	Data:K14a16359/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-3z^{4}a^{10}-4z^{2}a^{10}-2a^{10}+z^{8}a^{8}+3z^{6}a^{8}+5z^{4}a^{8}+3z^{2}a^{8}-a^{8}+2z^{8}a^{6}+7z^{6}a^{6}+12z^{4}a^{6}+13z^{2}a^{6}+6a^{6}+z^{8}a^{4}+2z^{6}a^{4}+z^{4}a^{4}-z^{2}a^{4}-2a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	$z^{7}a^{15}-3z^{5}a^{15}+2z^{3}a^{15}+4z^{8}a^{14}-10z^{6}a^{14}+5z^{4}a^{14}+10z^{9}a^{13}-28z^{7}a^{13}+30z^{5}a^{13}-20z^{3}a^{13}+6za^{13}+16z^{10}a^{12}-44z^{8}a^{12}+50z^{6}a^{12}-28z^{4}a^{12}+5z^{2}a^{12}+17z^{11}a^{11}-38z^{9}a^{11}+31z^{7}a^{11}-2z^{5}a^{11}-6z^{3}a^{11}-za^{11}+11z^{12}a^{10}-4z^{10}a^{10}-34z^{8}a^{10}+55z^{6}a^{10}-25z^{4}a^{10}-z^{2}a^{10}+2a^{10}+3z^{13}a^{9}+30z^{11}a^{9}-95z^{9}a^{9}+126z^{7}a^{9}-95z^{5}a^{9}+47z^{3}a^{9}-11za^{9}+21z^{12}a^{8}-25z^{10}a^{8}-20z^{8}a^{8}+58z^{6}a^{8}-49z^{4}a^{8}+19z^{2}a^{8}-a^{8}+3z^{13}a^{7}+30z^{11}a^{7}-79z^{9}a^{7}+75z^{7}a^{7}-43z^{5}a^{7}+16z^{3}a^{7}-3za^{7}+10z^{12}a^{6}+13z^{10}a^{6}-77z^{8}a^{6}+101z^{6}a^{6}-76z^{4}a^{6}+32z^{2}a^{6}-6a^{6}+17z^{11}a^{5}-20z^{9}a^{5}-19z^{7}a^{5}+39z^{5}a^{5}-23z^{3}a^{5}+3za^{5}+18z^{10}a^{4}-38z^{8}a^{4}+27z^{6}a^{4}-12z^{4}a^{4}+6z^{2}a^{4}-2a^{4}+12z^{9}a^{3}-27z^{7}a^{3}+20z^{5}a^{3}-7z^{3}a^{3}+2za^{3}+5z^{8}a^{2}-11z^{6}a^{2}+7z^{4}a^{2}-z^{2}a^{2}+z^{7}a-2z^{5}a+z^{3}a$