K13a3516

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3516/Jones Polynomial
Alexander polynomial	$-t^{5}+7t^{4}-24t^{3}+56t^{2}-92t+109-92t^{-1}+56t^{-2}-24t^{-3}+7t^{-4}-t^{-5}$
Conway polynomial	Data:K13a3516/Conway Polynomial
Determinant	469
Signature	0
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+z^{8}a^{-2}-6z^{8}-a^{4}z^{6}+9a^{2}z^{6}+4z^{6}a^{-2}-15z^{6}-3a^{4}z^{4}+16a^{2}z^{4}+6z^{4}a^{-2}-17z^{4}-4a^{4}z^{2}+12a^{2}z^{2}+2z^{2}a^{-2}-7z^{2}-2a^{4}+3a^{2}-a^{-2}+1$
Kauffman polynomial	$5a^{2}z^{12}+5z^{12}+15a^{3}z^{11}+33az^{11}+18z^{11}a^{-1}+19a^{4}z^{10}+39a^{2}z^{10}+27z^{10}a^{-2}+47z^{10}+13a^{5}z^{9}-6a^{3}z^{9}-42az^{9}+23z^{9}a^{-3}+5a^{6}z^{8}-40a^{4}z^{8}-120a^{2}z^{8}-45z^{8}a^{-2}+13z^{8}a^{-4}-133z^{8}+a^{7}z^{7}-30a^{5}z^{7}-49a^{3}z^{7}-32az^{7}-58z^{7}a^{-1}-39z^{7}a^{-3}+5z^{7}a^{-5}-10a^{6}z^{6}+30a^{4}z^{6}+116a^{2}z^{6}+32z^{6}a^{-2}-18z^{6}a^{-4}+z^{6}a^{-6}+127z^{6}-2a^{7}z^{5}+27a^{5}z^{5}+63a^{3}z^{5}+63az^{5}+64z^{5}a^{-1}+29z^{5}a^{-3}-6z^{5}a^{-5}+6a^{6}z^{4}-15a^{4}z^{4}-60a^{2}z^{4}-13z^{4}a^{-2}+9z^{4}a^{-4}-z^{4}a^{-6}-62z^{4}+a^{7}z^{3}-14a^{5}z^{3}-32a^{3}z^{3}-30az^{3}-23z^{3}a^{-1}-8z^{3}a^{-3}+2z^{3}a^{-5}-a^{6}z^{2}+7a^{4}z^{2}+19a^{2}z^{2}+2z^{2}a^{-2}-z^{2}a^{-4}+14z^{2}+4a^{5}z+7a^{3}z+4az-za^{-3}-2a^{4}-3a^{2}+a^{-2}+1$