K12a1096

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+5q^{3}-12q^{2}+22q-32+40q^{-1}-43q^{-2}+41q^{-3}-33q^{-4}+23q^{-5}-13q^{-6}+5q^{-7}-q^{-8}$
Alexander polynomial	$-t^{4}+8t^{3}-29t^{2}+60t-75+60t^{-1}-29t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	$-z^{8}-z^{4}+1$
Determinant	271
Signature	-2
HOMFLY-PT polynomial	$-a^{2}z^{8}+2a^{4}z^{6}-4a^{2}z^{6}+2z^{6}-a^{6}z^{4}+5a^{4}z^{4}-9a^{2}z^{4}-z^{4}a^{-2}+5z^{4}-a^{6}z^{2}+6a^{4}z^{2}-9a^{2}z^{2}-z^{2}a^{-2}+5z^{2}-a^{6}+3a^{4}-3a^{2}+2$
Kauffman polynomial	$4a^{3}z^{11}+4az^{11}+14a^{4}z^{10}+24a^{2}z^{10}+10z^{10}+22a^{5}z^{9}+31a^{3}z^{9}+19az^{9}+10z^{9}a^{-1}+21a^{6}z^{8}-41a^{2}z^{8}+5z^{8}a^{-2}-15z^{8}+13a^{7}z^{7}-30a^{5}z^{7}-89a^{3}z^{7}-73az^{7}-26z^{7}a^{-1}+z^{7}a^{-3}+5a^{8}z^{6}-30a^{6}z^{6}-45a^{4}z^{6}-9a^{2}z^{6}-13z^{6}a^{-2}-12z^{6}+a^{9}z^{5}-13a^{7}z^{5}+8a^{5}z^{5}+67a^{3}z^{5}+67az^{5}+20z^{5}a^{-1}-2z^{5}a^{-3}-2a^{8}z^{4}+16a^{6}z^{4}+43a^{4}z^{4}+40a^{2}z^{4}+10z^{4}a^{-2}+25z^{4}+4a^{7}z^{3}+2a^{5}z^{3}-16a^{3}z^{3}-20az^{3}-5z^{3}a^{-1}+z^{3}a^{-3}-5a^{6}z^{2}-16a^{4}z^{2}-20a^{2}z^{2}-2z^{2}a^{-2}-11z^{2}-a^{7}z-a^{5}z+a^{3}z+az+a^{6}+3a^{4}+3a^{2}+2$