K13a1033

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1033/Jones Polynomial
Alexander polynomial	$-2t^{4}+13t^{3}-40t^{2}+76t-93+76t^{-1}-40t^{-2}+13t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a1033/Conway Polynomial
Determinant	355
Signature	-2
HOMFLY-PT polynomial	$-a^{4}z^{8}-a^{2}z^{8}+a^{6}z^{6}-4a^{4}z^{6}-2a^{2}z^{6}+2z^{6}+3a^{6}z^{4}-9a^{4}z^{4}-z^{4}a^{-2}+5z^{4}+4a^{6}z^{2}-9a^{4}z^{2}+3a^{2}z^{2}-2z^{2}a^{-2}+5z^{2}+a^{6}-3a^{4}+2a^{2}-a^{-2}+2$
Kauffman polynomial	$2a^{4}z^{12}+2a^{2}z^{12}+8a^{5}z^{11}+15a^{3}z^{11}+7az^{11}+14a^{6}z^{10}+28a^{4}z^{10}+24a^{2}z^{10}+10z^{10}+14a^{7}z^{9}+14a^{5}z^{9}-2a^{3}z^{9}+6az^{9}+8z^{9}a^{-1}+9a^{8}z^{8}-15a^{6}z^{8}-61a^{4}z^{8}-56a^{2}z^{8}+4z^{8}a^{-2}-15z^{8}+4a^{9}z^{7}-24a^{7}z^{7}-57a^{5}z^{7}-52a^{3}z^{7}-42az^{7}-18z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-15a^{8}z^{6}-a^{6}z^{6}+41a^{4}z^{6}+33a^{2}z^{6}-11z^{6}a^{-2}-4z^{6}-7a^{9}z^{5}+20a^{7}z^{5}+59a^{5}z^{5}+57a^{3}z^{5}+40az^{5}+12z^{5}a^{-1}-3z^{5}a^{-3}-2a^{10}z^{4}+10a^{8}z^{4}+8a^{6}z^{4}-16a^{4}z^{4}-7a^{2}z^{4}+11z^{4}a^{-2}+16z^{4}+4a^{9}z^{3}-8a^{7}z^{3}-26a^{5}z^{3}-26a^{3}z^{3}-16az^{3}-z^{3}a^{-1}+3z^{3}a^{-3}+a^{10}z^{2}-3a^{8}z^{2}-a^{6}z^{2}+10a^{4}z^{2}+2a^{2}z^{2}-5z^{2}a^{-2}-10z^{2}-a^{9}z+5a^{5}z+6a^{3}z+2az-za^{-1}-za^{-3}-a^{6}-3a^{4}-2a^{2}+a^{-2}+2$