K12a1261

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{9}-3q^{8}+8q^{7}-15q^{6}+22q^{5}-29q^{4}+31q^{3}-29q^{2}+25q-17+10q^{-1}-4q^{-2}+q^{-3}$
Alexander 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 -2 t^4+9 t^3-23 t^2+40 t-47+40 t^{-1} -23 t^{-2} +9 t^{-3} -2 t^{-4} }
Conway polynomial	$-2z^{8}-7z^{6}-9z^{4}-3z^{2}+1$
Determinant	195
Signature	2
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-4z^{6}a^{-2}-5z^{6}a^{-4}+z^{6}a^{-6}+z^{6}-5z^{4}a^{-2}-11z^{4}a^{-4}+4z^{4}a^{-6}+3z^{4}-12z^{2}a^{-4}+6z^{2}a^{-6}+3z^{2}+3a^{-2}-6a^{-4}+3a^{-6}+1$
Kauffman polynomial	$2z^{11}a^{-3}+2z^{11}a^{-5}+6z^{10}a^{-2}+12z^{10}a^{-4}+6z^{10}a^{-6}+9z^{9}a^{-1}+12z^{9}a^{-3}+11z^{9}a^{-5}+8z^{9}a^{-7}-z^{8}a^{-2}-23z^{8}a^{-4}-8z^{8}a^{-6}+6z^{8}a^{-8}+8z^{8}+4az^{7}-15z^{7}a^{-1}-30z^{7}a^{-3}-35z^{7}a^{-5}-21z^{7}a^{-7}+3z^{7}a^{-9}+a^{2}z^{6}-13z^{6}a^{-2}+23z^{6}a^{-4}+2z^{6}a^{-6}-15z^{6}a^{-8}+z^{6}a^{-10}-17z^{6}-8az^{5}+6z^{5}a^{-1}+23z^{5}a^{-3}+44z^{5}a^{-5}+28z^{5}a^{-7}-7z^{5}a^{-9}-2a^{2}z^{4}+6z^{4}a^{-2}-21z^{4}a^{-4}+4z^{4}a^{-6}+14z^{4}a^{-8}-3z^{4}a^{-10}+12z^{4}+4az^{3}-3z^{3}a^{-1}-9z^{3}a^{-3}-26z^{3}a^{-5}-21z^{3}a^{-7}+3z^{3}a^{-9}+a^{2}z^{2}+2z^{2}a^{-2}+18z^{2}a^{-4}+z^{2}a^{-6}-7z^{2}a^{-8}+2z^{2}a^{-10}-5z^{2}+3za^{-3}+9za^{-5}+6za^{-7}-3a^{-2}-6a^{-4}-3a^{-6}+1$