K12a1014

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{7}+3q^{6}-7q^{5}+13q^{4}-19q^{3}+25q^{2}-27q+26-22q^{-1}+16q^{-2}-9q^{-3}+4q^{-4}-q^{-5}$
Alexander polynomial	$2t^{4}-9t^{3}+21t^{2}-34t+41-34t^{-1}+21t^{-2}-9t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+7z^{6}+7z^{4}+z^{2}+1$
Determinant	173
Signature	0
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+5z^{6}a^{-2}-z^{6}a^{-4}+4z^{6}-3a^{2}z^{4}+10z^{4}a^{-2}-4z^{4}a^{-4}+4z^{4}-2a^{2}z^{2}+10z^{2}a^{-2}-5z^{2}a^{-4}-2z^{2}+a^{2}+5a^{-2}-2a^{-4}-3$
Kauffman polynomial	$2z^{11}a^{-1}+2z^{11}a^{-3}+11z^{10}a^{-2}+5z^{10}a^{-4}+6z^{10}+10az^{9}+9z^{9}a^{-1}+4z^{9}a^{-3}+5z^{9}a^{-5}+11a^{2}z^{8}-32z^{8}a^{-2}-16z^{8}a^{-4}+3z^{8}a^{-6}-2z^{8}+8a^{3}z^{7}-14az^{7}-28z^{7}a^{-1}-25z^{7}a^{-3}-18z^{7}a^{-5}+z^{7}a^{-7}+4a^{4}z^{6}-18a^{2}z^{6}+47z^{6}a^{-2}+24z^{6}a^{-4}-11z^{6}a^{-6}-10z^{6}+a^{5}z^{5}-11a^{3}z^{5}+4az^{5}+27z^{5}a^{-1}+38z^{5}a^{-3}+23z^{5}a^{-5}-4z^{5}a^{-7}-5a^{4}z^{4}+11a^{2}z^{4}-47z^{4}a^{-2}-26z^{4}a^{-4}+11z^{4}a^{-6}+6z^{4}-a^{5}z^{3}+4a^{3}z^{3}+5az^{3}-11z^{3}a^{-1}-30z^{3}a^{-3}-15z^{3}a^{-5}+4z^{3}a^{-7}+a^{4}z^{2}-2a^{2}z^{2}+24z^{2}a^{-2}+12z^{2}a^{-4}-2z^{2}a^{-6}+7z^{2}-a^{3}z-2az+2za^{-1}+7za^{-3}+4za^{-5}-a^{2}-5a^{-2}-2a^{-4}-3$