K13n3285

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3285/Jones Polynomial
Alexander polynomial	$2t^{3}-10t^{2}+20t-23+20t^{-1}-10t^{-2}+2t^{-3}$
Conway polynomial	Data:K13n3285/Conway Polynomial
Determinant	87
Signature	2
HOMFLY-PT polynomial	$2z^{6}-3a^{2}z^{4}-3z^{4}a^{-2}+8z^{4}+a^{4}z^{2}-8a^{2}z^{2}-7z^{2}a^{-2}+z^{2}a^{-4}+11z^{2}+2a^{4}-5a^{2}-3a^{-2}+a^{-4}+6$
Kauffman polynomial	$az^{11}+z^{11}a^{-1}+3a^{2}z^{10}+3z^{10}a^{-2}+6z^{10}+3a^{3}z^{9}+6az^{9}+6z^{9}a^{-1}+3z^{9}a^{-3}+a^{4}z^{8}-8a^{2}z^{8}-6z^{8}a^{-2}+z^{8}a^{-4}-16z^{8}-14a^{3}z^{7}-41az^{7}-38z^{7}a^{-1}-11z^{7}a^{-3}-5a^{4}z^{6}-9a^{2}z^{6}-16z^{6}a^{-2}-4z^{6}a^{-4}-16z^{6}+21a^{3}z^{5}+56az^{5}+44z^{5}a^{-1}+9z^{5}a^{-3}+9a^{4}z^{4}+32a^{2}z^{4}+37z^{4}a^{-2}+7z^{4}a^{-4}+53z^{4}-13a^{3}z^{3}-26az^{3}-12z^{3}a^{-1}+2z^{3}a^{-3}+z^{3}a^{-5}-7a^{4}z^{2}-24a^{2}z^{2}-21z^{2}a^{-2}-5z^{2}a^{-4}-33z^{2}+3a^{3}z+4az-2za^{-3}-za^{-5}+2a^{4}+5a^{2}+3a^{-2}+a^{-4}+6$