K13n2505

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2505/Jones Polynomial
Alexander polynomial	$t^{4}-7t^{3}+23t^{2}-44t+55-44t^{-1}+23t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	Data:K13n2505/Conway Polynomial
Determinant	205
Signature	0
HOMFLY-PT polynomial	$a^{2}z^{8}-a^{4}z^{6}+5a^{2}z^{6}-3z^{6}-3a^{4}z^{4}+12a^{2}z^{4}+2z^{4}a^{-2}-10z^{4}-4a^{4}z^{2}+13a^{2}z^{2}+3z^{2}a^{-2}-11z^{2}-2a^{4}+5a^{2}+a^{-2}-3$
Kauffman polynomial	$3a^{3}z^{11}+3az^{11}+7a^{4}z^{10}+17a^{2}z^{10}+10z^{10}+7a^{5}z^{9}+10a^{3}z^{9}+15az^{9}+12z^{9}a^{-1}+4a^{6}z^{8}-12a^{4}z^{8}-42a^{2}z^{8}+6z^{8}a^{-2}-20z^{8}+a^{7}z^{7}-18a^{5}z^{7}-44a^{3}z^{7}-55az^{7}-29z^{7}a^{-1}+z^{7}a^{-3}-12a^{6}z^{6}-3a^{4}z^{6}+38a^{2}z^{6}-2z^{6}a^{-2}+27z^{6}-3a^{7}z^{5}+11a^{5}z^{5}+41a^{3}z^{5}+63az^{5}+45z^{5}a^{-1}+9z^{5}a^{-3}+11a^{6}z^{4}+4a^{4}z^{4}-30a^{2}z^{4}+3z^{4}a^{-4}-26z^{4}+3a^{7}z^{3}-a^{5}z^{3}-18a^{3}z^{3}-34az^{3}-30z^{3}a^{-1}-10z^{3}a^{-3}-3a^{6}z^{2}+3a^{4}z^{2}+18a^{2}z^{2}+z^{2}a^{-2}-2z^{2}a^{-4}+15z^{2}-a^{7}z+4a^{3}z+7az+6za^{-1}+2za^{-3}-2a^{4}-5a^{2}-a^{-2}-3$