K13n4116

Dowker-Thistlethwaite code

6 10 14 16 -24 4 -20 2 22 -12 26 -8 18

Jones polynomial	Data:K13n4116/Jones Polynomial
Alexander polynomial	$5t^{2}-15t+21-15t^{-1}+5t^{-2}$
Conway polynomial	Data:K13n4116/Conway Polynomial
Determinant	61
Signature	-4
HOMFLY-PT polynomial	$-z^{2}a^{12}+2z^{4}a^{10}+3z^{2}a^{10}+a^{10}-z^{6}a^{8}-4z^{4}a^{8}-8z^{2}a^{8}-5a^{8}+z^{6}a^{6}+7z^{4}a^{6}+11z^{2}a^{6}+5a^{6}$
Kauffman polynomial	$z^{7}a^{15}-3z^{5}a^{15}+2z^{3}a^{15}+4z^{8}a^{14}-15z^{6}a^{14}+13z^{4}a^{14}-z^{2}a^{14}+5z^{9}a^{13}-19z^{7}a^{13}+17z^{5}a^{13}-4z^{3}a^{13}+2z^{10}a^{12}-2z^{8}a^{12}-13z^{6}a^{12}+13z^{4}a^{12}-z^{2}a^{12}+7z^{9}a^{11}-28z^{7}a^{11}+32z^{5}a^{11}-14z^{3}a^{11}+2z^{10}a^{10}-7z^{8}a^{10}+8z^{6}a^{10}-7z^{4}a^{10}+3z^{2}a^{10}-a^{10}+2z^{9}a^{9}-9z^{7}a^{9}+16z^{5}a^{9}-13z^{3}a^{9}+5za^{9}-z^{8}a^{8}+7z^{6}a^{8}-14z^{4}a^{8}+15z^{2}a^{8}-5a^{8}-z^{7}a^{7}+4z^{5}a^{7}-5z^{3}a^{7}+5za^{7}+z^{6}a^{6}-7z^{4}a^{6}+12z^{2}a^{6}-5a^{6}$