K12a715

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{6}-4q^{5}+9q^{4}-15q^{3}+21q^{2}-25q+27-24q^{-1}+19q^{-2}-13q^{-3}+7q^{-4}-3q^{-5}+q^{-6}$
Alexander polynomial	$-4t^{3}+18t^{2}-38t+49-38t^{-1}+18t^{-2}-4t^{-3}$
Conway polynomial	$-4z^{6}-6z^{4}-2z^{2}+1$
Determinant	169
Signature	0
HOMFLY-PT polynomial	$-a^{2}z^{6}-z^{6}a^{-2}-2z^{6}+a^{4}z^{4}-2a^{2}z^{4}-z^{4}a^{-2}+z^{4}a^{-4}-5z^{4}+2a^{4}z^{2}-2a^{2}z^{2}+z^{2}a^{-2}+z^{2}a^{-4}-4z^{2}+a^{4}-a^{2}+a^{-2}$
Kauffman 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 a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+4 z^{10} a^{-2} +7 z^{10}+5 a^3 z^9+9 a z^9+11 z^9 a^{-1} +7 z^9 a^{-3} +5 a^4 z^8+4 a^2 z^8+2 z^8 a^{-2} +7 z^8 a^{-4} -6 z^8+3 a^5 z^7-7 a^3 z^7-18 a z^7-23 z^7 a^{-1} -11 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-12 a^4 z^6-19 a^2 z^6-12 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} -2 z^6-8 a^5 z^5-a^3 z^5+11 a z^5+16 z^5 a^{-1} +3 z^5 a^{-3} -9 z^5 a^{-5} -3 a^6 z^4+10 a^4 z^4+21 a^2 z^4+3 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} +z^4+6 a^5 z^3+6 a^3 z^3+a z^3-6 z^3 a^{-1} -2 z^3 a^{-3} +5 z^3 a^{-5} +2 a^6 z^2-5 a^4 z^2-8 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +3 z^2-2 a^5 z-3 a^3 z-a z+z a^{-1} +z a^{-3} +a^4+a^2- a^{-2} }