K13n500

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n500/Jones Polynomial
Alexander polynomial	$2t^{3}-6t^{2}+11t-13+11t^{-1}-6t^{-2}+2t^{-3}$
Conway polynomial	Data:K13n500/Conway Polynomial
Determinant	51
Signature	-2
HOMFLY-PT polynomial	$z^{2}a^{10}+2a^{10}-3z^{4}a^{8}-10z^{2}a^{8}-8a^{8}+2z^{6}a^{6}+10z^{4}a^{6}+16z^{2}a^{6}+8a^{6}-z^{4}a^{4}-2z^{2}a^{4}-a^{4}$
Kauffman polynomial	$z^{8}a^{12}-5z^{6}a^{12}+7z^{4}a^{12}-3z^{2}a^{12}+3z^{9}a^{11}-16z^{7}a^{11}+26z^{5}a^{11}-18z^{3}a^{11}+5za^{11}+3z^{10}a^{10}-13z^{8}a^{10}+10z^{6}a^{10}+4z^{4}a^{10}-2z^{2}a^{10}-2a^{10}+z^{11}a^{9}+3z^{9}a^{9}-39z^{7}a^{9}+78z^{5}a^{9}-61z^{3}a^{9}+20za^{9}+6z^{10}a^{8}-31z^{8}a^{8}+44z^{6}a^{8}-27z^{4}a^{8}+17z^{2}a^{8}-8a^{8}+z^{11}a^{7}+2z^{9}a^{7}-36z^{7}a^{7}+78z^{5}a^{7}-66z^{3}a^{7}+22za^{7}+3z^{10}a^{6}-17z^{8}a^{6}+29z^{6}a^{6}-27z^{4}a^{6}+19z^{2}a^{6}-8a^{6}+2z^{9}a^{5}-13z^{7}a^{5}+26z^{5}a^{5}-25z^{3}a^{5}+9za^{5}-3z^{4}a^{4}+3z^{2}a^{4}-a^{4}-2z^{3}a^{3}+2za^{3}$