K12a570

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{2}+5q-11+18q^{-1}-25q^{-2}+30q^{-3}-30q^{-4}+28q^{-5}-21q^{-6}+14q^{-7}-8q^{-8}+3q^{-9}-q^{-10}$
Alexander 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 2 t^3-15 t^2+47 t-67+47 t^{-1} -15 t^{-2} +2 t^{-3} }
Conway polynomial	$2z^{6}-3z^{4}+5z^{2}+1$
Determinant	195
Signature	-2
HOMFLY-PT polynomial	$-a^{10}+3z^{2}a^{8}+a^{8}-3z^{4}a^{6}-2z^{2}a^{6}-a^{6}+z^{6}a^{4}+2z^{2}a^{4}+2a^{4}+z^{6}a^{2}+z^{4}a^{2}+2z^{2}a^{2}-z^{4}$
Kauffman polynomial	$z^{7}a^{11}-4z^{5}a^{11}+5z^{3}a^{11}-2za^{11}+3z^{8}a^{10}-10z^{6}a^{10}+10z^{4}a^{10}-4z^{2}a^{10}+a^{10}+5z^{9}a^{9}-15z^{7}a^{9}+15z^{5}a^{9}-9z^{3}a^{9}+4za^{9}+4z^{10}a^{8}-3z^{8}a^{8}-16z^{6}a^{8}+24z^{4}a^{8}-11z^{2}a^{8}+a^{8}+z^{11}a^{7}+15z^{9}a^{7}-52z^{7}a^{7}+63z^{5}a^{7}-38z^{3}a^{7}+10za^{7}+9z^{10}a^{6}-3z^{8}a^{6}-39z^{6}a^{6}+54z^{4}a^{6}-23z^{2}a^{6}+a^{6}+z^{11}a^{5}+21z^{9}a^{5}-51z^{7}a^{5}+41z^{5}a^{5}-17z^{3}a^{5}+5za^{5}+5z^{10}a^{4}+17z^{8}a^{4}-56z^{6}a^{4}+49z^{4}a^{4}-17z^{2}a^{4}+2a^{4}+11z^{9}a^{3}-4z^{7}a^{3}-18z^{5}a^{3}+11z^{3}a^{3}+za^{3}+14z^{8}a^{2}-18z^{6}a^{2}+5z^{4}a^{2}-z^{2}a^{2}+11z^{7}a-14z^{5}a+4z^{3}a+5z^{6}-4z^{4}+z^{5}a^{-1}$