K12a1076

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-5q^{5}+12q^{4}-22q^{3}+33q^{2}-40q+44-41q^{-1}+33q^{-2}-23q^{-3}+13q^{-4}-5q^{-5}+q^{-6}$
Alexander polynomial	$t^{4}-8t^{3}+29t^{2}-60t+77-60t^{-1}+29t^{-2}-8t^{-3}+t^{-4}$
Conway polynomial	$z^{8}+z^{4}+1$
Determinant	273
Signature	0
HOMFLY-PT polynomial	$z^{8}-2a^{2}z^{6}-2z^{6}a^{-2}+4z^{6}+a^{4}z^{4}-5a^{2}z^{4}-5z^{4}a^{-2}+z^{4}a^{-4}+9z^{4}+a^{4}z^{2}-6a^{2}z^{2}-5z^{2}a^{-2}+z^{2}a^{-4}+9z^{2}+a^{4}-3a^{2}-a^{-2}+4$
Kauffman polynomial	$4az^{11}+4z^{11}a^{-1}+13a^{2}z^{10}+11z^{10}a^{-2}+24z^{10}+17a^{3}z^{9}+27az^{9}+24z^{9}a^{-1}+14z^{9}a^{-3}+12a^{4}z^{8}-12a^{2}z^{8}-3z^{8}a^{-2}+11z^{8}a^{-4}-38z^{8}+5a^{5}z^{7}-35a^{3}z^{7}-85az^{7}-71z^{7}a^{-1}-21z^{7}a^{-3}+5z^{7}a^{-5}+a^{6}z^{6}-22a^{4}z^{6}-18a^{2}z^{6}-31z^{6}a^{-2}-20z^{6}a^{-4}+z^{6}a^{-6}-5z^{6}-7a^{5}z^{5}+26a^{3}z^{5}+84az^{5}+63z^{5}a^{-1}+4z^{5}a^{-3}-8z^{5}a^{-5}-a^{6}z^{4}+11a^{4}z^{4}+30a^{2}z^{4}+36z^{4}a^{-2}+11z^{4}a^{-4}-z^{4}a^{-6}+42z^{4}+a^{5}z^{3}-11a^{3}z^{3}-31az^{3}-20z^{3}a^{-1}+2z^{3}a^{-3}+3z^{3}a^{-5}-4a^{4}z^{2}-16a^{2}z^{2}-15z^{2}a^{-2}-3z^{2}a^{-4}-24z^{2}+2a^{3}z+4az+2za^{-1}+a^{4}+3a^{2}+a^{-2}+4$