K12a1031

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{3}+2q^{2}-4q+8-10q^{-1}+13q^{-2}-14q^{-3}+14q^{-4}-12q^{-5}+9q^{-6}-6q^{-7}+3q^{-8}-q^{-9}$
Alexander polynomial	$2t^{4}-7t^{3}+13t^{2}-17t+19-17t^{-1}+13t^{-2}-7t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+9z^{6}+11z^{4}+4z^{2}+1$
Determinant	97
Signature	-4
HOMFLY-PT polynomial	$a^{4}z^{8}+a^{2}z^{8}-a^{6}z^{6}+5a^{4}z^{6}+6a^{2}z^{6}-z^{6}-4a^{6}z^{4}+7a^{4}z^{4}+13a^{2}z^{4}-5z^{4}-4a^{6}z^{2}+2a^{4}z^{2}+13a^{2}z^{2}-7z^{2}-a^{6}-a^{4}+5a^{2}-2$
Kauffman polynomial	$z^{3}a^{11}+3z^{4}a^{10}+6z^{5}a^{9}-4z^{3}a^{9}+za^{9}+9z^{6}a^{8}-12z^{4}a^{8}+3z^{2}a^{8}+11z^{7}a^{7}-22z^{5}a^{7}+9z^{3}a^{7}-2za^{7}+11z^{8}a^{6}-29z^{6}a^{6}+19z^{4}a^{6}-8z^{2}a^{6}+a^{6}+8z^{9}a^{5}-21z^{7}a^{5}+5z^{5}a^{5}+7z^{3}a^{5}-2za^{5}+4z^{10}a^{4}-6z^{8}a^{4}-20z^{6}a^{4}+31z^{4}a^{4}-7z^{2}a^{4}-a^{4}+z^{11}a^{3}+6z^{9}a^{3}-42z^{7}a^{3}+63z^{5}a^{3}-30z^{3}a^{3}+6za^{3}+6z^{10}a^{2}-30z^{8}a^{2}+48z^{6}a^{2}-33z^{4}a^{2}+17z^{2}a^{2}-5a^{2}+z^{11}a-z^{9}a-17z^{7}a+47z^{5}a-39z^{3}a+9za+2z^{10}-13z^{8}+30z^{6}-30z^{4}+13z^{2}-2+z^{9}a^{-1}-7z^{7}a^{-1}+17z^{5}a^{-1}-16z^{3}a^{-1}+4za^{-1}$