K12a1100

Dowker-Thistlethwaite code

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

Jones 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 -q^5+5 q^4-13 q^3+23 q^2-33 q+40-41 q^{-1} +39 q^{-2} -30 q^{-3} +20 q^{-4} -11 q^{-5} +4 q^{-6} - q^{-7} }
Alexander polynomial	$2t^{4}-11t^{3}+31t^{2}-54t+65-54t^{-1}+31t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+5z^{6}+5z^{4}+3z^{2}+1$
Determinant	261
Signature	0
HOMFLY-PT polynomial	$a^{2}z^{8}+z^{8}-a^{4}z^{6}+4a^{2}z^{6}-z^{6}a^{-2}+3z^{6}-3a^{4}z^{4}+8a^{2}z^{4}-2z^{4}a^{-2}+2z^{4}-4a^{4}z^{2}+10a^{2}z^{2}-z^{2}a^{-2}-2z^{2}-3a^{4}+6a^{2}-2$
Kauffman polynomial	$4a^{3}z^{11}+4az^{11}+9a^{4}z^{10}+23a^{2}z^{10}+14z^{10}+8a^{5}z^{9}+13a^{3}z^{9}+27az^{9}+22z^{9}a^{-1}+4a^{6}z^{8}-18a^{4}z^{8}-48a^{2}z^{8}+21z^{8}a^{-2}-5z^{8}+a^{7}z^{7}-21a^{5}z^{7}-56a^{3}z^{7}-79az^{7}-32z^{7}a^{-1}+13z^{7}a^{-3}-11a^{6}z^{6}+8a^{4}z^{6}+28a^{2}z^{6}-30z^{6}a^{-2}+5z^{6}a^{-4}-26z^{6}-3a^{7}z^{5}+18a^{5}z^{5}+60a^{3}z^{5}+67az^{5}+14z^{5}a^{-1}-13z^{5}a^{-3}+z^{5}a^{-5}+9a^{6}z^{4}-3a^{4}z^{4}-13a^{2}z^{4}+15z^{4}a^{-2}-2z^{4}a^{-4}+16z^{4}+3a^{7}z^{3}-8a^{5}z^{3}-31a^{3}z^{3}-30az^{3}-6z^{3}a^{-1}+4z^{3}a^{-3}-2a^{6}z^{2}+6a^{4}z^{2}+12a^{2}z^{2}-3z^{2}a^{-2}+z^{2}-a^{7}z+3a^{5}z+9a^{3}z+8az+3za^{-1}-3a^{4}-6a^{2}-2$