K12a1073

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{12}-4q^{11}+10q^{10}-18q^{9}+25q^{8}-32q^{7}+34q^{6}-31q^{5}+26q^{4}-17q^{3}+10q^{2}-4q+1$
Alexander polynomial	$-4t^{3}+22t^{2}-49t+63-49t^{-1}+22t^{-2}-4t^{-3}$
Conway polynomial	$-4z^{6}-2z^{4}+3z^{2}+1$
Determinant	213
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-4}-2z^{6}a^{-6}-z^{6}a^{-8}+z^{4}a^{-2}-3z^{4}a^{-6}-z^{4}a^{-8}+z^{4}a^{-10}+z^{2}a^{-2}+3z^{2}a^{-4}-2z^{2}a^{-8}+z^{2}a^{-10}+2a^{-4}+a^{-6}-3a^{-8}+a^{-10}$
Kauffman polynomial	$3z^{11}a^{-7}+3z^{11}a^{-9}+8z^{10}a^{-6}+17z^{10}a^{-8}+9z^{10}a^{-10}+10z^{9}a^{-5}+13z^{9}a^{-7}+14z^{9}a^{-9}+11z^{9}a^{-11}+8z^{8}a^{-4}-9z^{8}a^{-6}-41z^{8}a^{-8}-16z^{8}a^{-10}+8z^{8}a^{-12}+4z^{7}a^{-3}-20z^{7}a^{-5}-52z^{7}a^{-7}-58z^{7}a^{-9}-26z^{7}a^{-11}+4z^{7}a^{-13}+z^{6}a^{-2}-17z^{6}a^{-4}-9z^{6}a^{-6}+35z^{6}a^{-8}+9z^{6}a^{-10}-16z^{6}a^{-12}+z^{6}a^{-14}-8z^{5}a^{-3}+13z^{5}a^{-5}+69z^{5}a^{-7}+82z^{5}a^{-9}+26z^{5}a^{-11}-8z^{5}a^{-13}-2z^{4}a^{-2}+11z^{4}a^{-4}+19z^{4}a^{-6}-3z^{4}a^{-8}+7z^{4}a^{-12}-2z^{4}a^{-14}+3z^{3}a^{-3}-7z^{3}a^{-5}-38z^{3}a^{-7}-50z^{3}a^{-9}-19z^{3}a^{-11}+3z^{3}a^{-13}+z^{2}a^{-2}-7z^{2}a^{-4}-8z^{2}a^{-6}+z^{2}a^{-8}-2z^{2}a^{-10}-2z^{2}a^{-12}+z^{2}a^{-14}+za^{-5}+10za^{-7}+14za^{-9}+5za^{-11}+2a^{-4}-a^{-6}-3a^{-8}-a^{-10}$