K13a122

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a122/Jones Polynomial
Alexander polynomial	$-3t^{3}+15t^{2}-36t+49-36t^{-1}+15t^{-2}-3t^{-3}$
Conway polynomial	Data:K13a122/Conway Polynomial
Determinant	157
Signature	0
HOMFLY-PT polynomial	$z^{4}a^{6}+2z^{2}a^{6}+2a^{6}-z^{6}a^{4}-3z^{4}a^{4}-5z^{2}a^{4}-3a^{4}-z^{6}a^{2}-z^{4}a^{2}+a^{2}-z^{6}-2z^{4}-3z^{2}-1+2z^{4}a^{-2}+4z^{2}a^{-2}+3a^{-2}-z^{2}a^{-4}-a^{-4}$
Kauffman polynomial	$a^{4}z^{12}+a^{2}z^{12}+4a^{5}z^{11}+7a^{3}z^{11}+3az^{11}+5a^{6}z^{10}+7a^{4}z^{10}+6a^{2}z^{10}+4z^{10}+3a^{7}z^{9}-15a^{5}z^{9}-27a^{3}z^{9}-5az^{9}+4z^{9}a^{-1}+a^{8}z^{8}-24a^{6}z^{8}-50a^{4}z^{8}-36a^{2}z^{8}+4z^{8}a^{-2}-7z^{8}-14a^{7}z^{7}+12a^{5}z^{7}+33a^{3}z^{7}+az^{7}-2z^{7}a^{-1}+4z^{7}a^{-3}-5a^{8}z^{6}+36a^{6}z^{6}+92a^{4}z^{6}+64a^{2}z^{6}+3z^{6}a^{-4}+10z^{6}+18a^{7}z^{5}-3a^{5}z^{5}-21a^{3}z^{5}+3az^{5}-2z^{5}a^{-1}-4z^{5}a^{-3}+z^{5}a^{-5}+7a^{8}z^{4}-27a^{6}z^{4}-77a^{4}z^{4}-51a^{2}z^{4}-10z^{4}a^{-2}-6z^{4}a^{-4}-12z^{4}-8a^{7}z^{3}+6a^{5}z^{3}+14a^{3}z^{3}-az^{3}-z^{3}a^{-1}-2z^{3}a^{-3}-2z^{3}a^{-5}-3a^{8}z^{2}+13a^{6}z^{2}+30a^{4}z^{2}+16a^{2}z^{2}+9z^{2}a^{-2}+4z^{2}a^{-4}+7z^{2}+a^{7}z-4a^{5}z-7a^{3}z-az+2za^{-1}+2za^{-3}+za^{-5}-2a^{6}-3a^{4}-a^{2}-3a^{-2}-a^{-4}-1$