K13a1490

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1490/Jones Polynomial
Alexander polynomial	$2t^{4}-13t^{3}+39t^{2}-72t+89-72t^{-1}+39t^{-2}-13t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a1490/Conway Polynomial
Determinant	341
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+3z^{6}a^{-2}-z^{6}a^{-4}+3z^{6}+a^{4}z^{4}-6a^{2}z^{4}+3z^{4}a^{-2}-2z^{4}a^{-4}+5z^{4}+2a^{4}z^{2}-7a^{2}z^{2}-z^{2}a^{-4}+5z^{2}+a^{4}-2a^{2}+2$
Kauffman polynomial	$3z^{12}a^{-2}+3z^{12}+8az^{11}+18z^{11}a^{-1}+10z^{11}a^{-3}+11a^{2}z^{10}+19z^{10}a^{-2}+14z^{10}a^{-4}+16z^{10}+11a^{3}z^{9}+az^{9}-33z^{9}a^{-1}-12z^{9}a^{-3}+11z^{9}a^{-5}+8a^{4}z^{8}-8a^{2}z^{8}-59z^{8}a^{-2}-34z^{8}a^{-4}+5z^{8}a^{-6}-36z^{8}+4a^{5}z^{7}-15a^{3}z^{7}-17az^{7}+25z^{7}a^{-1}-6z^{7}a^{-3}-28z^{7}a^{-5}+z^{7}a^{-7}+a^{6}z^{6}-14a^{4}z^{6}-15a^{2}z^{6}+55z^{6}a^{-2}+26z^{6}a^{-4}-12z^{6}a^{-6}+17z^{6}-8a^{5}z^{5}+3a^{3}z^{5}+10az^{5}-21z^{5}a^{-1}+z^{5}a^{-3}+19z^{5}a^{-5}-2z^{5}a^{-7}-2a^{6}z^{4}+9a^{4}z^{4}+28a^{2}z^{4}-26z^{4}a^{-2}-12z^{4}a^{-4}+7z^{4}a^{-6}+10z^{4}+5a^{5}z^{3}+5a^{3}z^{3}+5az^{3}+12z^{3}a^{-1}+4z^{3}a^{-3}-2z^{3}a^{-5}+z^{3}a^{-7}+a^{6}z^{2}-4a^{4}z^{2}-14a^{2}z^{2}+4z^{2}a^{-2}+4z^{2}a^{-4}-9z^{2}-a^{5}z-2a^{3}z-3az-3za^{-1}-za^{-3}+a^{4}+2a^{2}+2$