K13a1058

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1058/Jones Polynomial
Alexander polynomial	$4t^{3}-25t^{2}+61t-79+61t^{-1}-25t^{-2}+4t^{-3}$
Conway polynomial	Data:K13a1058/Conway Polynomial
Determinant	259
Signature	-2
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-2z^{4}a^{6}-2z^{2}a^{6}-a^{6}+z^{6}a^{4}-z^{4}a^{4}-2z^{2}a^{4}+2z^{6}a^{2}+2z^{4}a^{2}-z^{2}a^{2}-a^{2}+z^{6}+z^{4}+2z^{2}+2-z^{4}a^{-2}-z^{2}a^{-2}$
Kauffman polynomial	$2a^{4}z^{12}+2a^{2}z^{12}+6a^{5}z^{11}+12a^{3}z^{11}+6az^{11}+9a^{6}z^{10}+11a^{4}z^{10}+10a^{2}z^{10}+8z^{10}+9a^{7}z^{9}-5a^{5}z^{9}-30a^{3}z^{9}-9az^{9}+7z^{9}a^{-1}+6a^{8}z^{8}-20a^{6}z^{8}-42a^{4}z^{8}-39a^{2}z^{8}+4z^{8}a^{-2}-19z^{8}+3a^{9}z^{7}-24a^{7}z^{7}-14a^{5}z^{7}+33a^{3}z^{7}-az^{7}-20z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-14a^{8}z^{6}+18a^{6}z^{6}+60a^{4}z^{6}+49a^{2}z^{6}-13z^{6}a^{-2}+9z^{6}-7a^{9}z^{5}+31a^{7}z^{5}+38a^{5}z^{5}-17a^{3}z^{5}+az^{5}+15z^{5}a^{-1}-3z^{5}a^{-3}-3a^{10}z^{4}+11a^{8}z^{4}+a^{6}z^{4}-33a^{4}z^{4}-29a^{2}z^{4}+12z^{4}a^{-2}+3z^{4}+3a^{9}z^{3}-22a^{7}z^{3}-25a^{5}z^{3}+4a^{3}z^{3}-az^{3}-3z^{3}a^{-1}+2z^{3}a^{-3}+2a^{10}z^{2}-6a^{8}z^{2}-6a^{6}z^{2}+8a^{4}z^{2}+3a^{2}z^{2}-3z^{2}a^{-2}-6z^{2}+5a^{7}z+6a^{5}z-az+a^{8}+a^{6}+a^{2}+2$