K13a574

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a574/Jones Polynomial
Alexander polynomial	$t^{4}-10t^{3}+33t^{2}-58t+69-58t^{-1}+33t^{-2}-10t^{-3}+t^{-4}$
Conway polynomial	Data:K13a574/Conway Polynomial
Determinant	273
Signature	-4
HOMFLY-PT polynomial	$-z^{2}a^{10}-a^{10}+3z^{4}a^{8}+6z^{2}a^{8}+2a^{8}-3z^{6}a^{6}-8z^{4}a^{6}-5z^{2}a^{6}-a^{6}+z^{8}a^{4}+3z^{6}a^{4}+3z^{4}a^{4}+2z^{2}a^{4}+a^{4}-2z^{6}a^{2}-6z^{4}a^{2}-5z^{2}a^{2}-2a^{2}+z^{4}+3z^{2}+2$
Kauffman polynomial	$z^{5}a^{13}-z^{3}a^{13}+4z^{6}a^{12}-4z^{4}a^{12}+z^{2}a^{12}+9z^{7}a^{11}-11z^{5}a^{11}+7z^{3}a^{11}-2za^{11}+14z^{8}a^{10}-20z^{6}a^{10}+15z^{4}a^{10}-5z^{2}a^{10}+a^{10}+15z^{9}a^{9}-17z^{7}a^{9}+9z^{3}a^{9}-3za^{9}+11z^{10}a^{8}-35z^{6}a^{8}+36z^{4}a^{8}-14z^{2}a^{8}+2a^{8}+5z^{11}a^{7}+18z^{9}a^{7}-61z^{7}a^{7}+45z^{5}a^{7}-9z^{3}a^{7}-2za^{7}+z^{12}a^{6}+21z^{10}a^{6}-50z^{8}a^{6}+22z^{6}a^{6}+5z^{4}a^{6}-6z^{2}a^{6}+a^{6}+9z^{11}a^{5}-3z^{9}a^{5}-45z^{7}a^{5}+48z^{5}a^{5}-10z^{3}a^{5}-2za^{5}+z^{12}a^{4}+15z^{10}a^{4}-53z^{8}a^{4}+50z^{6}a^{4}-16z^{4}a^{4}+z^{2}a^{4}+a^{4}+4z^{11}a^{3}-3z^{9}a^{3}-22z^{7}a^{3}+31z^{5}a^{3}-8z^{3}a^{3}+5z^{10}a^{2}-16z^{8}a^{2}+12z^{6}a^{2}+5z^{4}a^{2}-8z^{2}a^{2}+2a^{2}+3z^{9}a-12z^{7}a+16z^{5}a-8z^{3}a+za+z^{8}-5z^{6}+9z^{4}-7z^{2}+2$