K12a193

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{2}-2q+5-8q^{-1}+11q^{-2}-14q^{-3}+16q^{-4}-15q^{-5}+13q^{-6}-10q^{-7}+6q^{-8}-3q^{-9}+q^{-10}$
Alexander polynomial	$t^{4}-7t^{3}+16t^{2}-19t+19-19t^{-1}+16t^{-2}-7t^{-3}+t^{-4}$
Conway 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+z^6-6 z^4-2 z^2+1}
Determinant	105
Signature	-4
HOMFLY-PT polynomial	$z^{4}a^{8}+3z^{2}a^{8}+a^{8}-2z^{6}a^{6}-8z^{4}a^{6}-8z^{2}a^{6}-3a^{6}+z^{8}a^{4}+5z^{6}a^{4}+9z^{4}a^{4}+10z^{2}a^{4}+5a^{4}-2z^{6}a^{2}-9z^{4}a^{2}-11z^{2}a^{2}-5a^{2}+z^{4}+4z^{2}+3$
Kauffman polynomial	$z^{4}a^{12}-z^{2}a^{12}+3z^{5}a^{11}-3z^{3}a^{11}+za^{11}+5z^{6}a^{10}-5z^{4}a^{10}+2z^{2}a^{10}+6z^{7}a^{9}-6z^{5}a^{9}+z^{3}a^{9}+za^{9}+6z^{8}a^{8}-8z^{6}a^{8}+4z^{4}a^{8}-3z^{2}a^{8}+a^{8}+5z^{9}a^{7}-8z^{7}a^{7}+3z^{5}a^{7}-2z^{3}a^{7}+3z^{10}a^{6}-2z^{8}a^{6}-13z^{6}a^{6}+20z^{4}a^{6}-14z^{2}a^{6}+3a^{6}+z^{11}a^{5}+4z^{9}a^{5}-21z^{7}a^{5}+20z^{5}a^{5}-5z^{3}a^{5}+5z^{10}a^{4}-15z^{8}a^{4}+z^{6}a^{4}+23z^{4}a^{4}-19z^{2}a^{4}+5a^{4}+z^{11}a^{3}+z^{9}a^{3}-17z^{7}a^{3}+23z^{5}a^{3}-7z^{3}a^{3}+za^{3}+2z^{10}a^{2}-6z^{8}a^{2}-5z^{6}a^{2}+25z^{4}a^{2}-21z^{2}a^{2}+5a^{2}+2z^{9}a-10z^{7}a+15z^{5}a-8z^{3}a+za+z^{8}-6z^{6}+12z^{4}-10z^{2}+3$