K12a705

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-5q^{5}+13q^{4}-25q^{3}+38q^{2}-46q+50-47q^{-1}+38q^{-2}-26q^{-3}+14q^{-4}-5q^{-5}+q^{-6}$
Alexander polynomial	$t^{4}-9t^{3}+33t^{2}-68t+87-68t^{-1}+33t^{-2}-9t^{-3}+t^{-4}$
Conway polynomial	$z^{8}-z^{6}-z^{4}-z^{2}+1$
Determinant	309
Signature	0
HOMFLY-PT polynomial	$z^{8}-2a^{2}z^{6}-2z^{6}a^{-2}+3z^{6}+a^{4}z^{4}-4a^{2}z^{4}-4z^{4}a^{-2}+z^{4}a^{-4}+5z^{4}+a^{4}z^{2}-4a^{2}z^{2}-3z^{2}a^{-2}+z^{2}a^{-4}+4z^{2}+a^{4}-2a^{2}+2$
Kauffman polynomial	$4az^{11}+4z^{11}a^{-1}+14a^{2}z^{10}+13z^{10}a^{-2}+27z^{10}+19a^{3}z^{9}+39az^{9}+37z^{9}a^{-1}+17z^{9}a^{-3}+13a^{4}z^{8}+2z^{8}a^{-2}+12z^{8}a^{-4}-23z^{8}+5a^{5}z^{7}-33a^{3}z^{7}-100az^{7}-93z^{7}a^{-1}-26z^{7}a^{-3}+5z^{7}a^{-5}+a^{6}z^{6}-22a^{4}z^{6}-44a^{2}z^{6}-44z^{6}a^{-2}-20z^{6}a^{-4}+z^{6}a^{-6}-44z^{6}-6a^{5}z^{5}+23a^{3}z^{5}+78az^{5}+69z^{5}a^{-1}+13z^{5}a^{-3}-7z^{5}a^{-5}-a^{6}z^{4}+16a^{4}z^{4}+43a^{2}z^{4}+42z^{4}a^{-2}+14z^{4}a^{-4}-z^{4}a^{-6}+53z^{4}+2a^{5}z^{3}-10a^{3}z^{3}-30az^{3}-23z^{3}a^{-1}-2z^{3}a^{-3}+3z^{3}a^{-5}-6a^{4}z^{2}-16a^{2}z^{2}-13z^{2}a^{-2}-4z^{2}a^{-4}-19z^{2}+3a^{3}z+6az+4za^{-1}+za^{-3}+a^{4}+2a^{2}+2$