K12a1139

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{5}+3q^{4}-5q^{3}+9q^{2}-12q+14-15q^{-1}+14q^{-2}-11q^{-3}+8q^{-4}-5q^{-5}+3q^{-6}-q^{-7}$
Alexander polynomial	$6t^{2}-25t+39-25t^{-1}+6t^{-2}$
Conway polynomial	$6z^{4}-z^{2}+1$
Determinant	101
Signature	0
HOMFLY-PT polynomial	$-z^{2}a^{6}+z^{4}a^{4}+2z^{4}a^{2}+z^{2}a^{2}+a^{2}+2z^{4}-1+z^{4}a^{-2}+a^{-2}-z^{2}a^{-4}$
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}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+4 a^5 z^9+3 a^3 z^9+3 a z^9+4 z^9 a^{-1} +3 a^6 z^8-10 a^4 z^8-26 a^2 z^8+4 z^8 a^{-2} -9 z^8+a^7 z^7-17 a^5 z^7-27 a^3 z^7-24 a z^7-11 z^7 a^{-1} +4 z^7 a^{-3} -13 a^6 z^6+6 a^4 z^6+43 a^2 z^6-7 z^6 a^{-2} +3 z^6 a^{-4} +14 z^6-4 a^7 z^5+20 a^5 z^5+49 a^3 z^5+50 a z^5+16 z^5 a^{-1} -8 z^5 a^{-3} +z^5 a^{-5} +14 a^6 z^4+a^4 z^4-30 a^2 z^4+2 z^4 a^{-2} -7 z^4 a^{-4} -8 z^4+3 a^7 z^3-10 a^5 z^3-36 a^3 z^3-37 a z^3-9 z^3 a^{-1} +3 z^3 a^{-3} -2 z^3 a^{-5} -4 a^6 z^2-a^4 z^2+7 a^2 z^2+3 z^2 a^{-2} +3 z^2 a^{-4} +4 z^2+3 a^5 z+9 a^3 z+8 a z+2 z a^{-1} -a^2- a^{-2} -1}