K12a7

Dowker-Thistlethwaite code

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

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^3-5 q^2+13 q-22+32 q^{-1} -38 q^{-2} +40 q^{-3} -37 q^{-4} +29 q^{-5} -19 q^{-6} +10 q^{-7} -4 q^{-8} + q^{-9} }
Alexander polynomial	$-t^{4}+8t^{3}-28t^{2}+55t-67+55t^{-1}-28t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	$-z^{8}-z^{2}+1$
Determinant	251
Signature	-2
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-3z^{4}a^{6}-6z^{2}a^{6}-3a^{6}+3z^{6}a^{4}+9z^{4}a^{4}+10z^{2}a^{4}+4a^{4}-z^{8}a^{2}-4z^{6}a^{2}-8z^{4}a^{2}-8z^{2}a^{2}-3a^{2}+z^{6}+2z^{4}+2z^{2}+2$
Kauffman polynomial	$2a^{5}z^{11}+2a^{3}z^{11}+7a^{6}z^{10}+16a^{4}z^{10}+9a^{2}z^{10}+10a^{7}z^{9}+26a^{5}z^{9}+31a^{3}z^{9}+15az^{9}+8a^{8}z^{8}+7a^{6}z^{8}-5a^{4}z^{8}+8a^{2}z^{8}+12z^{8}+4a^{9}z^{7}-14a^{7}z^{7}-65a^{5}z^{7}-78a^{3}z^{7}-26az^{7}+5z^{7}a^{-1}+a^{10}z^{6}-15a^{8}z^{6}-40a^{6}z^{6}-53a^{4}z^{6}-53a^{2}z^{6}+z^{6}a^{-2}-23z^{6}-8a^{9}z^{5}+5a^{7}z^{5}+56a^{5}z^{5}+63a^{3}z^{5}+13az^{5}-7z^{5}a^{-1}-2a^{10}z^{4}+11a^{8}z^{4}+45a^{6}z^{4}+68a^{4}z^{4}+52a^{2}z^{4}-z^{4}a^{-2}+15z^{4}+5a^{9}z^{3}-20a^{5}z^{3}-22a^{3}z^{3}-5az^{3}+2z^{3}a^{-1}+a^{10}z^{2}-5a^{8}z^{2}-20a^{6}z^{2}-29a^{4}z^{2}-21a^{2}z^{2}-6z^{2}-a^{9}z+3a^{5}z+3a^{3}z+az+a^{8}+3a^{6}+4a^{4}+3a^{2}+2$