K12a398

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{10}-4q^{9}+9q^{8}-16q^{7}+22q^{6}-27q^{5}+29q^{4}-26q^{3}+22q^{2}-15q+9-4q^{-1}+q^{-2}$
Alexander polynomial	$t^{4}-7t^{3}+22t^{2}-39t+47-39t^{-1}+22t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	$z^{8}+z^{6}+2z^{2}+1$
Determinant	185
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^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -7 z^4 a^{-2} +12 z^4 a^{-4} -7 z^4 a^{-6} +z^4 a^{-8} +z^4-8 z^2 a^{-2} +15 z^2 a^{-4} -9 z^2 a^{-6} +2 z^2 a^{-8} +2 z^2-3 a^{-2} +7 a^{-4} -5 a^{-6} + a^{-8} +1}
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+5z^{10}a^{-2}+13z^{10}a^{-4}+8z^{10}a^{-6}+4z^{9}a^{-1}+9z^{9}a^{-3}+20z^{9}a^{-5}+15z^{9}a^{-7}-15z^{8}a^{-2}-30z^{8}a^{-4}+4z^{8}a^{-6}+18z^{8}a^{-8}+z^{8}-17z^{7}a^{-1}-56z^{7}a^{-3}-75z^{7}a^{-5}-21z^{7}a^{-7}+15z^{7}a^{-9}+3z^{6}a^{-2}-13z^{6}a^{-4}-60z^{6}a^{-6}-31z^{6}a^{-8}+9z^{6}a^{-10}-4z^{6}+24z^{5}a^{-1}+73z^{5}a^{-3}+62z^{5}a^{-5}-11z^{5}a^{-7}-20z^{5}a^{-9}+4z^{5}a^{-11}+22z^{4}a^{-2}+57z^{4}a^{-4}+65z^{4}a^{-6}+17z^{4}a^{-8}-6z^{4}a^{-10}+z^{4}a^{-12}+6z^{4}-12z^{3}a^{-1}-27z^{3}a^{-3}-7z^{3}a^{-5}+19z^{3}a^{-7}+10z^{3}a^{-9}-z^{3}a^{-11}-17z^{2}a^{-2}-33z^{2}a^{-4}-27z^{2}a^{-6}-6z^{2}a^{-8}+z^{2}a^{-10}-4z^{2}+za^{-1}+za^{-3}-5za^{-5}-7za^{-7}-2za^{-9}+3a^{-2}+7a^{-4}+5a^{-6}+a^{-8}+1$