K14a10065

Knot presentations

Dowker-Thistlethwaite code

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

Polynomial invariants

Jones polynomial	Data:K14a10065/Jones Polynomial
Alexander polynomial	$4t^{4}-19t^{3}+47t^{2}-75t+87-75t^{-1}+47t^{-2}-19t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a10065/Conway Polynomial
Determinant	Data:K14a10065/Determinant
Signature	Data:K14a10065/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-3z^{4}a^{10}-2z^{2}a^{10}+z^{8}a^{8}+3z^{6}a^{8}+z^{4}a^{8}-4z^{2}a^{8}-3a^{8}+2z^{8}a^{6}+9z^{6}a^{6}+16z^{4}a^{6}+14z^{2}a^{6}+4a^{6}+z^{8}a^{4}+3z^{6}a^{4}+2z^{4}a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}$
Kauffman polynomial	$z^{7}a^{15}-3z^{5}a^{15}+3z^{3}a^{15}-za^{15}+4z^{8}a^{14}-12z^{6}a^{14}+11z^{4}a^{14}-3z^{2}a^{14}+7z^{9}a^{13}-17z^{7}a^{13}+9z^{5}a^{13}+2z^{3}a^{13}-za^{13}+8z^{10}a^{12}-13z^{8}a^{12}-3z^{6}a^{12}+8z^{4}a^{12}-z^{2}a^{12}+7z^{11}a^{11}-7z^{9}a^{11}-4z^{7}a^{11}-3z^{5}a^{11}+7z^{3}a^{11}-2za^{11}+4z^{12}a^{10}+5z^{10}a^{10}-21z^{8}a^{10}+17z^{6}a^{10}-6z^{4}a^{10}-z^{2}a^{10}+z^{13}a^{9}+14z^{11}a^{9}-35z^{9}a^{9}+38z^{7}a^{9}-19z^{5}a^{9}+z^{3}a^{9}+za^{9}+8z^{12}a^{8}-3z^{10}a^{8}-26z^{8}a^{8}+51z^{6}a^{8}-36z^{4}a^{8}+13z^{2}a^{8}-3a^{8}+z^{13}a^{7}+15z^{11}a^{7}-38z^{9}a^{7}+32z^{7}a^{7}+3z^{5}a^{7}-13z^{3}a^{7}+4za^{7}+4z^{12}a^{6}+10z^{10}a^{6}-51z^{8}a^{6}+75z^{6}a^{6}-54z^{4}a^{6}+23z^{2}a^{6}-4a^{6}+8z^{11}a^{5}-9z^{9}a^{5}-16z^{7}a^{5}+30z^{5}a^{5}-16z^{3}a^{5}+2za^{5}+10z^{10}a^{4}-25z^{8}a^{4}+20z^{6}a^{4}-11z^{4}a^{4}+4z^{2}a^{4}+8z^{9}a^{3}-23z^{7}a^{3}+20z^{5}a^{3}-8z^{3}a^{3}+za^{3}+4z^{8}a^{2}-12z^{6}a^{2}+10z^{4}a^{2}-3z^{2}a^{2}+z^{7}a-3z^{5}a+2z^{3}a$