K13a1753

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1753/Jones Polynomial
Alexander polynomial	$2t^{4}-12t^{3}+33t^{2}-57t+69-57t^{-1}+33t^{-2}-12t^{-3}+2t^{-4}$
Conway polynomial	Data:K13a1753/Conway Polynomial
Determinant	277
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+3z^{6}+a^{4}z^{4}-6a^{2}z^{4}+6z^{4}a^{-2}-3z^{4}a^{-4}+3z^{4}+2a^{4}z^{2}-6a^{2}z^{2}+3z^{2}a^{-2}-2z^{2}a^{-4}+2z^{2}+a^{4}-2a^{2}+2$
Kauffman polynomial	$z^{12}a^{-2}+z^{12}+4az^{11}+8z^{11}a^{-1}+4z^{11}a^{-3}+8a^{2}z^{10}+15z^{10}a^{-2}+7z^{10}a^{-4}+16z^{10}+10a^{3}z^{9}+14az^{9}+3z^{9}a^{-1}+6z^{9}a^{-3}+7z^{9}a^{-5}+8a^{4}z^{8}-36z^{8}a^{-2}-13z^{8}a^{-4}+4z^{8}a^{-6}-27z^{8}+4a^{5}z^{7}-14a^{3}z^{7}-41az^{7}-39z^{7}a^{-1}-38z^{7}a^{-3}-21z^{7}a^{-5}+z^{7}a^{-7}+a^{6}z^{6}-15a^{4}z^{6}-24a^{2}z^{6}+24z^{6}a^{-2}-z^{6}a^{-4}-13z^{6}a^{-6}+4z^{6}-8a^{5}z^{5}+3a^{3}z^{5}+35az^{5}+47z^{5}a^{-1}+46z^{5}a^{-3}+20z^{5}a^{-5}-3z^{5}a^{-7}-2a^{6}z^{4}+10a^{4}z^{4}+27a^{2}z^{4}-2z^{4}a^{-2}+10z^{4}a^{-4}+12z^{4}a^{-6}+15z^{4}+5a^{5}z^{3}+2a^{3}z^{3}-12az^{3}-21z^{3}a^{-1}-22z^{3}a^{-3}-8z^{3}a^{-5}+2z^{3}a^{-7}+a^{6}z^{2}-4a^{4}z^{2}-13a^{2}z^{2}-2z^{2}a^{-2}-4z^{2}a^{-4}-3z^{2}a^{-6}-9z^{2}-a^{5}z-a^{3}z+az+3za^{-1}+3za^{-3}+za^{-5}+a^{4}+2a^{2}+2$