K13n79

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n79/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-12t^{2}+15t-15+15t^{-1}-12t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K13n79/Conway Polynomial
Determinant	83
Signature	-6
HOMFLY-PT polynomial	$a^{12}-z^{4}a^{10}-5z^{2}a^{10}-4a^{10}+2z^{6}a^{8}+9z^{4}a^{8}+11z^{2}a^{8}+4a^{8}-z^{8}a^{6}-5z^{6}a^{6}-8z^{4}a^{6}-6z^{2}a^{6}-2a^{6}+z^{6}a^{4}+4z^{4}a^{4}+5z^{2}a^{4}+2a^{4}$
Kauffman polynomial	$z^{3}a^{13}-za^{13}+z^{8}a^{12}-4z^{6}a^{12}+6z^{4}a^{12}-3z^{2}a^{12}+a^{12}+3z^{9}a^{11}-12z^{7}a^{11}+12z^{5}a^{11}+z^{3}a^{11}-4za^{11}+3z^{10}a^{10}-8z^{8}a^{10}-7z^{6}a^{10}+25z^{4}a^{10}-17z^{2}a^{10}+4a^{10}+z^{11}a^{9}+5z^{9}a^{9}-35z^{7}a^{9}+44z^{5}a^{9}-16z^{3}a^{9}+za^{9}+6z^{10}a^{8}-19z^{8}a^{8}-2z^{6}a^{8}+32z^{4}a^{8}-21z^{2}a^{8}+4a^{8}+z^{11}a^{7}+5z^{9}a^{7}-37z^{7}a^{7}+52z^{5}a^{7}-26z^{3}a^{7}+5za^{7}+3z^{10}a^{6}-9z^{8}a^{6}-4z^{6}a^{6}+22z^{4}a^{6}-14z^{2}a^{6}+2a^{6}+3z^{9}a^{5}-14z^{7}a^{5}+20z^{5}a^{5}-10z^{3}a^{5}+za^{5}+z^{8}a^{4}-5z^{6}a^{4}+9z^{4}a^{4}-7z^{2}a^{4}+2a^{4}$