K13n1924

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1924/Jones Polynomial
Alexander polynomial	$-2t^{3}+11t^{2}-24t+31-24t^{-1}+11t^{-2}-2t^{-3}$
Conway polynomial	Data:K13n1924/Conway Polynomial
Determinant	105
Signature	0
HOMFLY-PT polynomial	$-z^{6}a^{-2}-z^{6}a^{-4}-2z^{4}a^{-2}-2z^{4}a^{-4}+z^{4}a^{-6}+2z^{4}-a^{2}z^{2}-2z^{2}a^{-2}+z^{2}a^{-6}+4z^{2}-a^{2}-2a^{-2}+2a^{-4}-a^{-6}+3$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+4z^{10}a^{-2}+9z^{10}a^{-4}+5z^{10}a^{-6}+4z^{9}a^{-1}-z^{9}a^{-3}-z^{9}a^{-5}+4z^{9}a^{-7}-11z^{8}a^{-2}-38z^{8}a^{-4}-23z^{8}a^{-6}+z^{8}a^{-8}+3z^{8}+az^{7}-10z^{7}a^{-1}-14z^{7}a^{-3}-22z^{7}a^{-5}-19z^{7}a^{-7}+7z^{6}a^{-2}+51z^{6}a^{-4}+32z^{6}a^{-6}-4z^{6}a^{-8}-8z^{6}+6z^{5}a^{-1}+15z^{5}a^{-3}+35z^{5}a^{-5}+26z^{5}a^{-7}+3a^{2}z^{4}-2z^{4}a^{-2}-32z^{4}a^{-4}-16z^{4}a^{-6}+4z^{4}a^{-8}+13z^{4}+a^{3}z^{3}+3az^{3}+2z^{3}a^{-1}-6z^{3}a^{-3}-14z^{3}a^{-5}-8z^{3}a^{-7}-3a^{2}z^{2}-3z^{2}a^{-2}+4z^{2}a^{-4}+2z^{2}a^{-6}-8z^{2}-a^{3}z-2az-za^{-1}+za^{-3}-za^{-7}+a^{2}+2a^{-2}+2a^{-4}+a^{-6}+3$