K13a1039

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1039/Jones Polynomial
Alexander polynomial	$-2t^{4}+13t^{3}-39t^{2}+72t-87+72t^{-1}-39t^{-2}+13t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a1039/Conway Polynomial
Determinant	339
Signature	-2
HOMFLY-PT polynomial	$-a^{4}z^{8}-a^{2}z^{8}+a^{6}z^{6}-4a^{4}z^{6}-2a^{2}z^{6}+2z^{6}+3a^{6}z^{4}-9a^{4}z^{4}+a^{2}z^{4}-z^{4}a^{-2}+5z^{4}+4a^{6}z^{2}-11a^{4}z^{2}+6a^{2}z^{2}-2z^{2}a^{-2}+4z^{2}+2a^{6}-6a^{4}+5a^{2}-a^{-2}+1$
Kauffman polynomial	$2a^{4}z^{12}+2a^{2}z^{12}+8a^{5}z^{11}+15a^{3}z^{11}+7az^{11}+14a^{6}z^{10}+27a^{4}z^{10}+23a^{2}z^{10}+10z^{10}+14a^{7}z^{9}+10a^{5}z^{9}-9a^{3}z^{9}+3az^{9}+8z^{9}a^{-1}+9a^{8}z^{8}-21a^{6}z^{8}-73a^{4}z^{8}-65a^{2}z^{8}+4z^{8}a^{-2}-18z^{8}+4a^{9}z^{7}-28a^{7}z^{7}-58a^{5}z^{7}-46a^{3}z^{7}-40az^{7}-19z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-16a^{8}z^{6}+12a^{6}z^{6}+76a^{4}z^{6}+61a^{2}z^{6}-11z^{6}a^{-2}+3z^{6}-7a^{9}z^{5}+29a^{7}z^{5}+82a^{5}z^{5}+77a^{3}z^{5}+47az^{5}+13z^{5}a^{-1}-3z^{5}a^{-3}-2a^{10}z^{4}+10a^{8}z^{4}-3a^{6}z^{4}-43a^{4}z^{4}-32a^{2}z^{4}+10z^{4}a^{-2}+6z^{4}+3a^{9}z^{3}-20a^{7}z^{3}-54a^{5}z^{3}-51a^{3}z^{3}-26az^{3}-3z^{3}a^{-1}+3z^{3}a^{-3}+a^{10}z^{2}-3a^{8}z^{2}+2a^{6}z^{2}+19a^{4}z^{2}+13a^{2}z^{2}-4z^{2}a^{-2}-4z^{2}+6a^{7}z+16a^{5}z+15a^{3}z+6az-za^{-3}-2a^{6}-6a^{4}-5a^{2}+a^{-2}+1$