K13n3081

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3081/Jones Polynomial
Alexander polynomial	$t^{3}-10t^{2}+26t-33+26t^{-1}-10t^{-2}+t^{-3}$
Conway polynomial	Data:K13n3081/Conway Polynomial
Determinant	107
Signature	-2
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-2z^{4}a^{6}-3z^{2}a^{6}-a^{6}+z^{6}a^{4}+2z^{4}a^{4}+3z^{2}a^{4}+2a^{4}-4z^{4}a^{2}-9z^{2}a^{2}-5a^{2}+3z^{2}+4$
Kauffman polynomial	$a^{5}z^{11}+a^{3}z^{11}+3a^{6}z^{10}+4a^{4}z^{10}+a^{2}z^{10}+5a^{7}z^{9}+2a^{5}z^{9}-3a^{3}z^{9}+5a^{8}z^{8}-4a^{6}z^{8}-11a^{4}z^{8}-2a^{2}z^{8}+3a^{9}z^{7}-13a^{7}z^{7}-6a^{5}z^{7}+13a^{3}z^{7}+3az^{7}+a^{10}z^{6}-14a^{8}z^{6}-2a^{6}z^{6}+18a^{4}z^{6}+5a^{2}z^{6}-8a^{9}z^{5}+13a^{7}z^{5}+2a^{5}z^{5}-23a^{3}z^{5}-4az^{5}-3a^{10}z^{4}+12a^{8}z^{4}+6a^{6}z^{4}-11a^{4}z^{4}+3a^{2}z^{4}+5z^{4}+4a^{9}z^{3}-10a^{7}z^{3}+9a^{5}z^{3}+26a^{3}z^{3}+3az^{3}+2a^{10}z^{2}-7a^{8}z^{2}-4a^{6}z^{2}+3a^{4}z^{2}-12a^{2}z^{2}-10z^{2}+2a^{7}z-5a^{5}z-11a^{3}z-4az+a^{8}+a^{6}+2a^{4}+5a^{2}+4$