K12a70

Dowker-Thistlethwaite code

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

Jones polynomial	$-q+5-11q^{-1}+20q^{-2}-28q^{-3}+35q^{-4}-37q^{-5}+34q^{-6}-28q^{-7}+19q^{-8}-10q^{-9}+4q^{-10}-q^{-11}$
Alexander polynomial	$t^{4}-8t^{3}+27t^{2}-50t+61-50t^{-1}+27t^{-2}-8t^{-3}+t^{-4}$
Conway polynomial	$z^{8}-z^{4}+2z^{2}+1$
Determinant	233
Signature	-4
HOMFLY-PT polynomial	$-z^{2}a^{10}-a^{10}+3z^{4}a^{8}+6z^{2}a^{8}+3a^{8}-3z^{6}a^{6}-9z^{4}a^{6}-9z^{2}a^{6}-4a^{6}+z^{8}a^{4}+4z^{6}a^{4}+7z^{4}a^{4}+6z^{2}a^{4}+2a^{4}-z^{6}a^{2}-2z^{4}a^{2}+a^{2}$
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 z^5 a^{13}-z^3 a^{13}+4 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+9 z^7 a^{11}-11 z^5 a^{11}+7 z^3 a^{11}-2 z a^{11}+14 z^8 a^{10}-21 z^6 a^{10}+17 z^4 a^{10}-6 z^2 a^{10}+a^{10}+14 z^9 a^9-15 z^7 a^9-z^5 a^9+9 z^3 a^9-3 z a^9+8 z^{10} a^8+12 z^8 a^8-56 z^6 a^8+56 z^4 a^8-22 z^2 a^8+3 a^8+2 z^{11} a^7+27 z^9 a^7-68 z^7 a^7+47 z^5 a^7-11 z^3 a^7-z a^7+15 z^{10} a^6-10 z^8 a^6-50 z^6 a^6+64 z^4 a^6-28 z^2 a^6+4 a^6+2 z^{11} a^5+22 z^9 a^5-69 z^7 a^5+56 z^5 a^5-16 z^3 a^5+z a^5+7 z^{10} a^4-3 z^8 a^4-33 z^6 a^4+41 z^4 a^4-15 z^2 a^4+2 a^4+9 z^9 a^3-24 z^7 a^3+18 z^5 a^3-3 z^3 a^3+z a^3+5 z^8 a^2-14 z^6 a^2+12 z^4 a^2-2 z^2 a^2-a^2+z^7 a-2 z^5 a+z^3 a}