K13a181

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a181/Jones Polynomial
Alexander polynomial	$t^{5}-6t^{4}+19t^{3}-39t^{2}+58t-65+58t^{-1}-39t^{-2}+19t^{-3}-6t^{-4}+t^{-5}$
Conway polynomial	Data:K13a181/Conway Polynomial
Determinant	311
Signature	2
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-2z^{8}a^{-4}-z^{8}+21z^{6}a^{-2}-11z^{6}a^{-4}+z^{6}a^{-6}-5z^{6}+34z^{4}a^{-2}-23z^{4}a^{-4}+4z^{4}a^{-6}-10z^{4}+29z^{2}a^{-2}-22z^{2}a^{-4}+5z^{2}a^{-6}-10z^{2}+10a^{-2}-8a^{-4}+2a^{-6}-3$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}a^{-4}+8z^{11}a^{-1}+15z^{11}a^{-3}+7z^{11}a^{-5}+23z^{10}a^{-2}+22z^{10}a^{-4}+11z^{10}a^{-6}+12z^{10}+9az^{9}-7z^{9}a^{-1}-23z^{9}a^{-3}+4z^{9}a^{-5}+11z^{9}a^{-7}+4a^{2}z^{8}-90z^{8}a^{-2}-72z^{8}a^{-4}-14z^{8}a^{-6}+8z^{8}a^{-8}-36z^{8}+a^{3}z^{7}-27az^{7}-30z^{7}a^{-1}-15z^{7}a^{-3}-34z^{7}a^{-5}-17z^{7}a^{-7}+4z^{7}a^{-9}-11a^{2}z^{6}+134z^{6}a^{-2}+100z^{6}a^{-4}+5z^{6}a^{-6}-14z^{6}a^{-8}+z^{6}a^{-10}+43z^{6}-3a^{3}z^{5}+27az^{5}+59z^{5}a^{-1}+61z^{5}a^{-3}+47z^{5}a^{-5}+7z^{5}a^{-7}-8z^{5}a^{-9}+7a^{2}z^{4}-106z^{4}a^{-2}-76z^{4}a^{-4}-4z^{4}a^{-6}+7z^{4}a^{-8}-2z^{4}a^{-10}-36z^{4}+2a^{3}z^{3}-16az^{3}-43z^{3}a^{-1}-49z^{3}a^{-3}-30z^{3}a^{-5}-z^{3}a^{-7}+5z^{3}a^{-9}-a^{2}z^{2}+48z^{2}a^{-2}+35z^{2}a^{-4}+4z^{2}a^{-6}-z^{2}a^{-8}+z^{2}a^{-10}+18z^{2}+4az+11za^{-1}+14za^{-3}+8za^{-5}-za^{-9}-10a^{-2}-8a^{-4}-2a^{-6}-3$