K12a1072

Dowker-Thistlethwaite code

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

Jones polynomial	$-q+4-9q^{-1}+18q^{-2}-27q^{-3}+35q^{-4}-38q^{-5}+37q^{-6}-31q^{-7}+22q^{-8}-13q^{-9}+5q^{-10}-q^{-11}$
Alexander polynomial	$2t^{4}-11t^{3}+30t^{2}-49t+57-49t^{-1}+30t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+5z^{6}+4z^{4}+4z^{2}+1$
Determinant	241
Signature	-4
HOMFLY-PT polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -z^6 a^8-2 z^4 a^8-z^2 a^8-a^8+z^8 a^6+3 z^6 a^6+2 z^4 a^6+z^8 a^4+4 z^6 a^4+7 z^4 a^4+7 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2}
Kauffman polynomial	$z^{5}a^{13}+5z^{6}a^{12}-2z^{4}a^{12}+13z^{7}a^{11}-14z^{5}a^{11}+5z^{3}a^{11}-za^{11}+20z^{8}a^{10}-29z^{6}a^{10}+14z^{4}a^{10}-3z^{2}a^{10}+19z^{9}a^{9}-23z^{7}a^{9}+2z^{5}a^{9}+2za^{9}+11z^{10}a^{8}+3z^{8}a^{8}-34z^{6}a^{8}+19z^{4}a^{8}-a^{8}+3z^{11}a^{7}+24z^{9}a^{7}-63z^{7}a^{7}+46z^{5}a^{7}-17z^{3}a^{7}+4za^{7}+18z^{10}a^{6}-33z^{8}a^{6}+9z^{6}a^{6}+7z^{4}a^{6}-3z^{2}a^{6}+3z^{11}a^{5}+12z^{9}a^{5}-48z^{7}a^{5}+50z^{5}a^{5}-20z^{3}a^{5}+2za^{5}+7z^{10}a^{4}-12z^{8}a^{4}-4z^{6}a^{4}+17z^{4}a^{4}-10z^{2}a^{4}+2a^{4}+7z^{9}a^{3}-20z^{7}a^{3}+18z^{5}a^{3}-6z^{3}a^{3}+za^{3}+4z^{8}a^{2}-13z^{6}a^{2}+13z^{4}a^{2}-4z^{2}a^{2}+z^{7}a-3z^{5}a+2z^{3}a$