K12a1037

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{14}-4q^{13}+8q^{12}-15q^{11}+21q^{10}-26q^{9}+29q^{8}-27q^{7}+23q^{6}-16q^{5}+10q^{4}-4q^{3}+q^{2}$
Alexander polynomial	$14t^{2}-46t+65-46t^{-1}+14t^{-2}$
Conway polynomial	$14z^{4}+10z^{2}+1$
Determinant	185
Signature	4
HOMFLY-PT polynomial	$z^{4}a^{-4}+4z^{4}a^{-6}+6z^{4}a^{-8}+3z^{4}a^{-10}+4z^{2}a^{-6}+9z^{2}a^{-8}+z^{2}a^{-10}-4z^{2}a^{-12}+4a^{-8}-a^{-10}-3a^{-12}+a^{-14}$
Kauffman polynomial	$2z^{11}a^{-11}+2z^{11}a^{-13}+8z^{10}a^{-10}+13z^{10}a^{-12}+5z^{10}a^{-14}+15z^{9}a^{-9}+19z^{9}a^{-11}+8z^{9}a^{-13}+4z^{9}a^{-15}+19z^{8}a^{-8}+2z^{8}a^{-10}-35z^{8}a^{-12}-17z^{8}a^{-14}+z^{8}a^{-16}+16z^{7}a^{-7}-20z^{7}a^{-9}-73z^{7}a^{-11}-55z^{7}a^{-13}-18z^{7}a^{-15}+10z^{6}a^{-6}-33z^{6}a^{-8}-45z^{6}a^{-10}+14z^{6}a^{-12}+12z^{6}a^{-14}-4z^{6}a^{-16}+4z^{5}a^{-5}-20z^{5}a^{-7}-6z^{5}a^{-9}+74z^{5}a^{-11}+83z^{5}a^{-13}+27z^{5}a^{-15}+z^{4}a^{-4}-8z^{4}a^{-6}+23z^{4}a^{-8}+39z^{4}a^{-10}+9z^{4}a^{-12}+7z^{4}a^{-14}+5z^{4}a^{-16}+8z^{3}a^{-7}+5z^{3}a^{-9}-35z^{3}a^{-11}-46z^{3}a^{-13}-14z^{3}a^{-15}+4z^{2}a^{-6}-15z^{2}a^{-8}-13z^{2}a^{-10}+4z^{2}a^{-12}-4z^{2}a^{-14}-2z^{2}a^{-16}-za^{-9}+9za^{-11}+11za^{-13}+za^{-15}+4a^{-8}+a^{-10}-3a^{-12}-a^{-14}$