K13n4377

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4377/Jones Polynomial
Alexander polynomial	$-t^{3}+6t^{2}-7t+5-7t^{-1}+6t^{-2}-t^{-3}$
Conway polynomial	Data:K13n4377/Conway Polynomial
Determinant	33
Signature	-4
HOMFLY-PT polynomial	$-a^{12}+z^{2}a^{10}+z^{4}a^{8}+3z^{2}a^{8}+a^{8}-z^{6}a^{6}-3z^{4}a^{6}-z^{2}a^{6}+2z^{4}a^{4}+5z^{2}a^{4}+a^{4}$
Kauffman polynomial	$z^{9}a^{13}-8z^{7}a^{13}+21z^{5}a^{13}-23z^{3}a^{13}+9za^{13}+z^{10}a^{12}-8z^{8}a^{12}+19z^{6}a^{12}-16z^{4}a^{12}+4z^{2}a^{12}-a^{12}+2z^{9}a^{11}-18z^{7}a^{11}+48z^{5}a^{11}-45z^{3}a^{11}+12za^{11}+z^{10}a^{10}-7z^{8}a^{10}+12z^{6}a^{10}+2z^{4}a^{10}-8z^{2}a^{10}+2z^{9}a^{9}-13z^{7}a^{9}+30z^{5}a^{9}-22z^{3}a^{9}+6za^{9}+3z^{8}a^{8}-12z^{6}a^{8}+21z^{4}a^{8}-10z^{2}a^{8}+a^{8}+z^{9}a^{7}-2z^{7}a^{7}+4z^{5}a^{7}-5z^{3}a^{7}+4za^{7}+2z^{8}a^{6}-5z^{6}a^{6}+6z^{4}a^{6}-4z^{2}a^{6}+z^{7}a^{5}+z^{5}a^{5}-5z^{3}a^{5}+za^{5}+3z^{4}a^{4}-6z^{2}a^{4}+a^{4}$