K13n3190

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3190/Jones Polynomial
Alexander polynomial	$-t^{2}+8t-13+8t^{-1}-t^{-2}$
Conway polynomial	Data:K13n3190/Conway Polynomial
Determinant	31
Signature	-2
HOMFLY-PT polynomial	$-z^{2}a^{6}-3a^{6}+z^{4}a^{4}+6z^{2}a^{4}+5a^{4}-z^{4}a^{2}-z^{2}a^{2}-a^{2}-z^{4}-z^{2}+z^{2}a^{-2}$
Kauffman polynomial	$-a^{5}z^{9}+az^{9}-a^{4}z^{8}+2a^{2}z^{8}+3z^{8}+a^{7}z^{7}+7a^{5}z^{7}+2a^{3}z^{7}-az^{7}+3z^{7}a^{-1}-a^{6}z^{6}+6a^{4}z^{6}-5a^{2}z^{6}+z^{6}a^{-2}-11z^{6}-7a^{7}z^{5}-18a^{5}z^{5}-5a^{3}z^{5}-5az^{5}-11z^{5}a^{-1}+4a^{6}z^{4}-5a^{4}z^{4}+3a^{2}z^{4}-3z^{4}a^{-2}+9z^{4}+14a^{7}z^{3}+24a^{5}z^{3}+7a^{3}z^{3}+5az^{3}+8z^{3}a^{-1}-4a^{6}z^{2}-4a^{4}z^{2}-2a^{2}z^{2}+z^{2}a^{-2}-z^{2}-7a^{7}z-11a^{5}z-5a^{3}z-az+3a^{6}+5a^{4}+a^{2}$