K13a836

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a836/Jones Polynomial
Alexander polynomial	$-t^{5}+5t^{4}-12t^{3}+20t^{2}-28t+33-28t^{-1}+20t^{-2}-12t^{-3}+5t^{-4}-t^{-5}$
Conway polynomial	Data:K13a836/Conway Polynomial
Determinant	165
Signature	0
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+z^{8}a^{-2}-8z^{8}-a^{4}z^{6}+13a^{2}z^{6}+6z^{6}a^{-2}-25z^{6}-5a^{4}z^{4}+29a^{2}z^{4}+12z^{4}a^{-2}-38z^{4}-7a^{4}z^{2}+25a^{2}z^{2}+9z^{2}a^{-2}-28z^{2}-2a^{4}+7a^{2}+3a^{-2}-7$
Kauffman polynomial	$a^{2}z^{12}+z^{12}+3a^{3}z^{11}+7az^{11}+4z^{11}a^{-1}+4a^{4}z^{10}+5a^{2}z^{10}+6z^{10}a^{-2}+7z^{10}+4a^{5}z^{9}-8a^{3}z^{9}-30az^{9}-12z^{9}a^{-1}+6z^{9}a^{-3}+3a^{6}z^{8}-12a^{4}z^{8}-36a^{2}z^{8}-21z^{8}a^{-2}+5z^{8}a^{-4}-47z^{8}+a^{7}z^{7}-13a^{5}z^{7}+8a^{3}z^{7}+56az^{7}+13z^{7}a^{-1}-18z^{7}a^{-3}+3z^{7}a^{-5}-12a^{6}z^{6}+10a^{4}z^{6}+86a^{2}z^{6}+30z^{6}a^{-2}-15z^{6}a^{-4}+z^{6}a^{-6}+110z^{6}-4a^{7}z^{5}+8a^{5}z^{5}-7a^{3}z^{5}-40az^{5}+3z^{5}a^{-1}+15z^{5}a^{-3}-9z^{5}a^{-5}+13a^{6}z^{4}-8a^{4}z^{4}-94a^{2}z^{4}-18z^{4}a^{-2}+11z^{4}a^{-4}-3z^{4}a^{-6}-105z^{4}+4a^{7}z^{3}+2a^{5}z^{3}+a^{3}z^{3}+6az^{3}-3z^{3}a^{-1}-z^{3}a^{-3}+5z^{3}a^{-5}-4a^{6}z^{2}+7a^{4}z^{2}+42a^{2}z^{2}+9z^{2}a^{-2}-3z^{2}a^{-4}+z^{2}a^{-6}+44z^{2}-a^{7}z-a^{5}z+a^{3}z+az-za^{-3}-za^{-5}-2a^{4}-7a^{2}-3a^{-2}-7$