K12a1142

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{6}+3q^{5}-6q^{4}+10q^{3}-12q^{2}+14q-15+13q^{-1}-10q^{-2}+8q^{-3}-4q^{-4}+2q^{-5}-q^{-6}$
Alexander polynomial	$4t^{3}-14t^{2}+21t-21+21t^{-1}-14t^{-2}+4t^{-3}$
Conway polynomial	$4z^{6}+10z^{4}+z^{2}+1$
Determinant	99
Signature	2
HOMFLY-PT polynomial	$a^{2}z^{6}+z^{6}a^{-2}+2z^{6}-a^{4}z^{4}+3a^{2}z^{4}+2z^{4}a^{-2}-z^{4}a^{-4}+7z^{4}-3a^{4}z^{2}+2a^{2}z^{2}-z^{2}a^{-2}-2z^{2}a^{-4}+5z^{2}-a^{4}+2a^{2}$
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^3 z^{11}+a z^{11}+2 a^4 z^{10}+6 a^2 z^{10}+4 z^{10}+a^5 z^9-a^3 z^9+6 a z^9+8 z^9 a^{-1} -13 a^4 z^8-30 a^2 z^8+11 z^8 a^{-2} -6 z^8-7 a^5 z^7-17 a^3 z^7-42 a z^7-20 z^7 a^{-1} +12 z^7 a^{-3} +30 a^4 z^6+48 a^2 z^6-26 z^6 a^{-2} +10 z^6 a^{-4} -18 z^6+17 a^5 z^5+47 a^3 z^5+65 a z^5+4 z^5 a^{-1} -25 z^5 a^{-3} +6 z^5 a^{-5} -30 a^4 z^4-31 a^2 z^4+10 z^4 a^{-2} -15 z^4 a^{-4} +3 z^4 a^{-6} +27 z^4-16 a^5 z^3-38 a^3 z^3-32 a z^3+6 z^3 a^{-1} +12 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} +13 a^4 z^2+13 a^2 z^2+6 z^2 a^{-4} -6 z^2+4 a^5 z+8 a^3 z+3 a z-3 z a^{-1} -2 z a^{-3} -a^4-2 a^2}