K13n2906

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2906/Jones Polynomial
Alexander polynomial	$-t^{3}+5t^{2}-4t+1-4t^{-1}+5t^{-2}-t^{-3}$
Conway polynomial	Data:K13n2906/Conway Polynomial
Determinant	21
Signature	-4
HOMFLY-PT polynomial	$-a^{12}+2z^{2}a^{10}+2a^{10}-z^{4}a^{8}-3z^{2}a^{8}-4a^{8}+2z^{4}a^{6}+7z^{2}a^{6}+4a^{6}-z^{6}a^{4}-3z^{4}a^{4}-z^{2}a^{4}+z^{4}a^{2}+2z^{2}a^{2}$
Kauffman polynomial	$z^{9}a^{13}-7z^{7}a^{13}+16z^{5}a^{13}-15z^{3}a^{13}+5za^{13}+2z^{10}a^{12}-14z^{8}a^{12}+31z^{6}a^{12}-27z^{4}a^{12}+8z^{2}a^{12}-a^{12}+z^{11}a^{11}-4z^{9}a^{11}-6z^{7}a^{11}+31z^{5}a^{11}-28z^{3}a^{11}+6za^{11}+4z^{10}a^{10}-29z^{8}a^{10}+61z^{6}a^{10}-47z^{4}a^{10}+15z^{2}a^{10}-2a^{10}+z^{11}a^{9}-5z^{9}a^{9}-3z^{7}a^{9}+25z^{5}a^{9}-18z^{3}a^{9}+5za^{9}+2z^{10}a^{8}-16z^{8}a^{8}+36z^{6}a^{8}-33z^{4}a^{8}+19z^{2}a^{8}-4a^{8}+z^{9}a^{7}-7z^{7}a^{7}+14z^{5}a^{7}-12z^{3}a^{7}+5za^{7}+2z^{8}a^{6}-4z^{6}a^{6}-5z^{4}a^{6}+8z^{2}a^{6}-4a^{6}+z^{9}a^{5}-6z^{5}a^{5}+za^{5}+3z^{8}a^{4}-9z^{6}a^{4}+5z^{4}a^{4}-2z^{2}a^{4}+3z^{7}a^{3}-10z^{5}a^{3}+7z^{3}a^{3}+z^{6}a^{2}-3z^{4}a^{2}+2z^{2}a^{2}$