K12a1097

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{14}-5q^{13}+11q^{12}-19q^{11}+26q^{10}-32q^{9}+34q^{8}-31q^{7}+26q^{6}-17q^{5}+10q^{4}-4q^{3}+q^{2}$
Alexander polynomial	$16t^{2}-54t+77-54t^{-1}+16t^{-2}$
Conway 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 16 z^4+10 z^2+1}
Determinant	217
Signature	4
HOMFLY-PT polynomial	$z^{4}a^{-4}+4z^{4}a^{-6}+7z^{4}a^{-8}+4z^{4}a^{-10}+3z^{2}a^{-6}+10z^{2}a^{-8}+2z^{2}a^{-10}-5z^{2}a^{-12}+4a^{-8}-a^{-10}-3a^{-12}+a^{-14}$
Kauffman polynomial	$4z^{11}a^{-11}+4z^{11}a^{-13}+14z^{10}a^{-10}+22z^{10}a^{-12}+8z^{10}a^{-14}+22z^{9}a^{-9}+22z^{9}a^{-11}+5z^{9}a^{-13}+5z^{9}a^{-15}+23z^{8}a^{-8}-17z^{8}a^{-10}-69z^{8}a^{-12}-28z^{8}a^{-14}+z^{8}a^{-16}+17z^{7}a^{-7}-44z^{7}a^{-9}-104z^{7}a^{-11}-62z^{7}a^{-13}-19z^{7}a^{-15}+10z^{6}a^{-6}-43z^{6}a^{-8}-30z^{6}a^{-10}+51z^{6}a^{-12}+25z^{6}a^{-14}-3z^{6}a^{-16}+4z^{5}a^{-5}-20z^{5}a^{-7}+19z^{5}a^{-9}+112z^{5}a^{-11}+92z^{5}a^{-13}+23z^{5}a^{-15}+z^{4}a^{-4}-7z^{4}a^{-6}+29z^{4}a^{-8}+37z^{4}a^{-10}-2z^{4}a^{-12}+z^{4}a^{-14}+3z^{4}a^{-16}+6z^{3}a^{-7}-2z^{3}a^{-9}-43z^{3}a^{-11}-44z^{3}a^{-13}-9z^{3}a^{-15}+3z^{2}a^{-6}-15z^{2}a^{-8}-12z^{2}a^{-10}+3z^{2}a^{-12}-4z^{2}a^{-14}-z^{2}a^{-16}-2za^{-9}+6za^{-11}+8za^{-13}+4a^{-8}+a^{-10}-3a^{-12}-a^{-14}$