K12a1107

Dowker-Thistlethwaite code

6 12 20 24 16 18 4 22 10 2 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^3+3 q^2-6 q+10-13 q^{-1} +16 q^{-2} -16 q^{-3} +16 q^{-4} -13 q^{-5} +9 q^{-6} -6 q^{-7} +3 q^{-8} - q^{-9} }
Alexander polynomial	$2t^{4}-8t^{3}+16t^{2}-20t+21-20t^{-1}+16t^{-2}-8t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+8z^{6}+8z^{4}+4z^{2}+1$
Determinant	113
Signature	-4
HOMFLY-PT polynomial	$a^{4}z^{8}+a^{2}z^{8}-a^{6}z^{6}+5a^{4}z^{6}+5a^{2}z^{6}-z^{6}-4a^{6}z^{4}+8a^{4}z^{4}+8a^{2}z^{4}-4z^{4}-4a^{6}z^{2}+6a^{4}z^{2}+6a^{2}z^{2}-4z^{2}-2a^{6}+2a^{4}+2a^{2}-1$
Kauffman polynomial	$z^{3}a^{11}+3z^{4}a^{10}+6z^{5}a^{9}-4z^{3}a^{9}+za^{9}+9z^{6}a^{8}-11z^{4}a^{8}+z^{2}a^{8}+12z^{7}a^{7}-24z^{5}a^{7}+8z^{3}a^{7}-2za^{7}+14z^{8}a^{6}-41z^{6}a^{6}+32z^{4}a^{6}-13z^{2}a^{6}+2a^{6}+12z^{9}a^{5}-39z^{7}a^{5}+29z^{5}a^{5}-5z^{3}a^{5}+7z^{10}a^{4}-18z^{8}a^{4}-11z^{6}a^{4}+38z^{4}a^{4}-15z^{2}a^{4}+2a^{4}+2z^{11}a^{3}+6z^{9}a^{3}-60z^{7}a^{3}+100z^{5}a^{3}-53z^{3}a^{3}+10za^{3}+10z^{10}a^{2}-50z^{8}a^{2}+76z^{6}a^{2}-38z^{4}a^{2}+7z^{2}a^{2}-2a^{2}+2z^{11}a-5z^{9}a-15z^{7}a+54z^{5}a-47z^{3}a+11za+3z^{10}-18z^{8}+37z^{6}-30z^{4}+8z^{2}-1+z^{9}a^{-1}-6z^{7}a^{-1}+13z^{5}a^{-1}-12z^{3}a^{-1}+4za^{-1}$