K13n2716

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2716/Jones Polynomial
Alexander polynomial	$t^{4}-7t^{3}+20t^{2}-33t+39-33t^{-1}+20t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	Data:K13n2716/Conway Polynomial
Determinant	161
Signature	0
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-z^{6}a^{-2}+5z^{6}+3a^{4}z^{4}-11a^{2}z^{4}-4z^{4}a^{-2}+10z^{4}-a^{6}z^{2}+8a^{4}z^{2}-12a^{2}z^{2}-5z^{2}a^{-2}+z^{2}a^{-4}+9z^{2}-2a^{6}+5a^{4}-4a^{2}-2a^{-2}+a^{-4}+3$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+4a^{4}z^{10}+8a^{2}z^{10}+4z^{10}+5a^{5}z^{9}+13a^{3}z^{9}+14az^{9}+6z^{9}a^{-1}+3a^{6}z^{8}-3a^{4}z^{8}-7a^{2}z^{8}+4z^{8}a^{-2}+3z^{8}+a^{7}z^{7}-14a^{5}z^{7}-44a^{3}z^{7}-40az^{7}-10z^{7}a^{-1}+z^{7}a^{-3}-10a^{6}z^{6}-17a^{4}z^{6}-25a^{2}z^{6}-4z^{6}a^{-2}-22z^{6}-4a^{7}z^{5}+10a^{5}z^{5}+40a^{3}z^{5}+36az^{5}+15z^{5}a^{-1}+5z^{5}a^{-3}+11a^{6}z^{4}+23a^{4}z^{4}+36a^{2}z^{4}+10z^{4}a^{-2}+3z^{4}a^{-4}+31z^{4}+5a^{7}z^{3}-a^{5}z^{3}-14a^{3}z^{3}-10az^{3}-9z^{3}a^{-1}-7z^{3}a^{-3}-6a^{6}z^{2}-15a^{4}z^{2}-18a^{2}z^{2}-10z^{2}a^{-2}-4z^{2}a^{-4}-15z^{2}-2a^{7}z-2a^{5}z+2za^{-1}+2za^{-3}+2a^{6}+5a^{4}+4a^{2}+2a^{-2}+a^{-4}+3$