K13a561

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a561/Jones Polynomial
Alexander polynomial	$-t^{4}+9t^{3}-32t^{2}+61t-73+61t^{-1}-32t^{-2}+9t^{-3}-t^{-4}$
Conway polynomial	Data:K13a561/Conway Polynomial
Determinant	279
Signature	-2
HOMFLY-PT polynomial	$-a^{2}z^{8}+2a^{4}z^{6}-4a^{2}z^{6}+3z^{6}-a^{6}z^{4}+6a^{4}z^{4}-9a^{2}z^{4}-3z^{4}a^{-2}+9z^{4}-2a^{6}z^{2}+6a^{4}z^{2}-11a^{2}z^{2}-6z^{2}a^{-2}+z^{2}a^{-4}+10z^{2}+2a^{4}-5a^{2}-3a^{-2}+a^{-4}+6$
Kauffman polynomial	$a^{2}z^{12}+z^{12}+5a^{3}z^{11}+9az^{11}+4z^{11}a^{-1}+11a^{4}z^{10}+23a^{2}z^{10}+6z^{10}a^{-2}+18z^{10}+14a^{5}z^{9}+21a^{3}z^{9}+8az^{9}+5z^{9}a^{-1}+4z^{9}a^{-3}+12a^{6}z^{8}-3a^{4}z^{8}-54a^{2}z^{8}-17z^{8}a^{-2}+z^{8}a^{-4}-57z^{8}+8a^{7}z^{7}-18a^{5}z^{7}-82a^{3}z^{7}-98az^{7}-58z^{7}a^{-1}-16z^{7}a^{-3}+4a^{8}z^{6}-14a^{6}z^{6}-30a^{4}z^{6}+7a^{2}z^{6}+6z^{6}a^{-2}-4z^{6}a^{-4}+29z^{6}+a^{9}z^{5}-9a^{7}z^{5}+7a^{5}z^{5}+84a^{3}z^{5}+132az^{5}+88z^{5}a^{-1}+23z^{5}a^{-3}-5a^{8}z^{4}+5a^{6}z^{4}+34a^{4}z^{4}+40a^{2}z^{4}+16z^{4}a^{-2}+6z^{4}a^{-4}+26z^{4}-a^{9}z^{3}+4a^{7}z^{3}+2a^{5}z^{3}-33a^{3}z^{3}-65az^{3}-49z^{3}a^{-1}-14z^{3}a^{-3}+2a^{8}z^{2}+a^{6}z^{2}-12a^{4}z^{2}-24a^{2}z^{2}-14z^{2}a^{-2}-4z^{2}a^{-4}-23z^{2}-a^{7}z-3a^{5}z+2a^{3}z+10az+9za^{-1}+3za^{-3}+2a^{4}+5a^{2}+3a^{-2}+a^{-4}+6$