K13n124

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n124/Jones Polynomial
Alexander polynomial	$t^{4}-7t^{3}+20t^{2}-35t+43-35t^{-1}+20t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	Data:K13n124/Conway Polynomial
Determinant	169
Signature	0
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-z^{6}a^{-2}+5z^{6}+3a^{4}z^{4}-11a^{2}z^{4}-4z^{4}a^{-2}+10z^{4}-a^{6}z^{2}+7a^{4}z^{2}-13a^{2}z^{2}-5z^{2}a^{-2}+z^{2}a^{-4}+9z^{2}-a^{6}+4a^{4}-5a^{2}-2a^{-2}+a^{-4}+4$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+4a^{4}z^{10}+8a^{2}z^{10}+4z^{10}+6a^{5}z^{9}+15a^{3}z^{9}+15az^{9}+6z^{9}a^{-1}+4a^{6}z^{8}+3a^{4}z^{8}-a^{2}z^{8}+4z^{8}a^{-2}+4z^{8}+a^{7}z^{7}-15a^{5}z^{7}-46a^{3}z^{7}-41az^{7}-10z^{7}a^{-1}+z^{7}a^{-3}-13a^{6}z^{6}-39a^{4}z^{6}-46a^{2}z^{6}-4z^{6}a^{-2}-24z^{6}-3a^{7}z^{5}+6a^{5}z^{5}+33a^{3}z^{5}+36az^{5}+17z^{5}a^{-1}+5z^{5}a^{-3}+14a^{6}z^{4}+48a^{4}z^{4}+61a^{2}z^{4}+10z^{4}a^{-2}+3z^{4}a^{-4}+34z^{4}+3a^{7}z^{3}+4a^{5}z^{3}-7a^{3}z^{3}-13az^{3}-12z^{3}a^{-1}-7z^{3}a^{-3}-6a^{6}z^{2}-23a^{4}z^{2}-30a^{2}z^{2}-9z^{2}a^{-2}-4z^{2}a^{-4}-18z^{2}-a^{7}z-2a^{5}z+2az+3za^{-1}+2za^{-3}+a^{6}+4a^{4}+5a^{2}+2a^{-2}+a^{-4}+4$