K13n3636

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3636/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-14t^{2}+23t-27+23t^{-1}-14t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K13n3636/Conway Polynomial
Determinant	115
Signature	-2
HOMFLY-PT polynomial	$-a^{2}z^{8}+2a^{4}z^{6}-5a^{2}z^{6}+z^{6}-a^{6}z^{4}+9a^{4}z^{4}-9a^{2}z^{4}+3z^{4}-4a^{6}z^{2}+14a^{4}z^{2}-7a^{2}z^{2}+2z^{2}-4a^{6}+7a^{4}-2a^{2}$
Kauffman polynomial	$a^{5}z^{11}+a^{3}z^{11}+a^{6}z^{10}+5a^{4}z^{10}+4a^{2}z^{10}-2a^{5}z^{9}+5a^{3}z^{9}+7az^{9}-2a^{6}z^{8}-15a^{4}z^{8}-6a^{2}z^{8}+7z^{8}+4a^{7}z^{7}+7a^{5}z^{7}-19a^{3}z^{7}-18az^{7}+4z^{7}a^{-1}+2a^{8}z^{6}+5a^{6}z^{6}+19a^{4}z^{6}-4a^{2}z^{6}+z^{6}a^{-2}-19z^{6}+a^{9}z^{5}-9a^{7}z^{5}-12a^{5}z^{5}+19a^{3}z^{5}+11az^{5}-10z^{5}a^{-1}-4a^{8}z^{4}+a^{6}z^{4}+2a^{4}z^{4}+11a^{2}z^{4}-2z^{4}a^{-2}+12z^{4}-3a^{9}z^{3}+8a^{7}z^{3}+20a^{5}z^{3}+4a^{3}z^{3}-az^{3}+4z^{3}a^{-1}+a^{8}z^{2}-8a^{6}z^{2}-13a^{4}z^{2}-7a^{2}z^{2}-3z^{2}+2a^{9}z-4a^{7}z-11a^{5}z-7a^{3}z-2az+4a^{6}+7a^{4}+2a^{2}$