K12n133

Dowker-Thistlethwaite code

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

Jones polynomial	$2q^{13}-6q^{12}+11q^{11}-17q^{10}+19q^{9}-20q^{8}+18q^{7}-13q^{6}+9q^{5}-3q^{4}+q^{3}$
Alexander polynomial	$4t^{3}-14t^{2}+26t-31+26t^{-1}-14t^{-2}+4t^{-3}$
Conway polynomial	$4z^{6}+10z^{4}+6z^{2}+1$
Determinant	119
Signature	6
HOMFLY-PT polynomial	$z^{6}a^{-6}+3z^{6}a^{-8}+3z^{4}a^{-6}+12z^{4}a^{-8}-5z^{4}a^{-10}+3z^{2}a^{-6}+15z^{2}a^{-8}-14z^{2}a^{-10}+2z^{2}a^{-12}+a^{-6}+6a^{-8}-9a^{-10}+3a^{-12}$
Kauffman polynomial	$z^{10}a^{-10}+z^{10}a^{-12}+4z^{9}a^{-9}+7z^{9}a^{-11}+3z^{9}a^{-13}+6z^{8}a^{-8}+14z^{8}a^{-10}+11z^{8}a^{-12}+3z^{8}a^{-14}+3z^{7}a^{-7}+3z^{7}a^{-9}+3z^{7}a^{-11}+4z^{7}a^{-13}+z^{7}a^{-15}+z^{6}a^{-6}-15z^{6}a^{-8}-37z^{6}a^{-10}-20z^{6}a^{-12}+z^{6}a^{-14}-6z^{5}a^{-7}-28z^{5}a^{-9}-37z^{5}a^{-11}-10z^{5}a^{-13}+5z^{5}a^{-15}-3z^{4}a^{-6}+17z^{4}a^{-8}+33z^{4}a^{-10}+10z^{4}a^{-12}+3z^{4}a^{-16}+3z^{3}a^{-7}+30z^{3}a^{-9}+41z^{3}a^{-11}+8z^{3}a^{-13}-6z^{3}a^{-15}+3z^{2}a^{-6}-15z^{2}a^{-8}-23z^{2}a^{-10}-3z^{2}a^{-12}-z^{2}a^{-14}-3z^{2}a^{-16}-12za^{-9}-16za^{-11}-2za^{-13}+2za^{-15}-a^{-6}+6a^{-8}+9a^{-10}+3a^{-12}$