K13a4055

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4055/Jones Polynomial
Alexander polynomial	$t^{5}-6t^{4}+20t^{3}-43t^{2}+67t-77+67t^{-1}-43t^{-2}+20t^{-3}-6t^{-4}+t^{-5}$
Conway polynomial	Data:K13a4055/Conway Polynomial
Determinant	351
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+7a^{2}z^{8}-2z^{8}-5a^{4}z^{6}+21a^{2}z^{6}+z^{6}a^{-2}-10z^{6}-10a^{4}z^{4}+33a^{2}z^{4}+3z^{4}a^{-2}-19z^{4}-10a^{4}z^{2}+28a^{2}z^{2}+3z^{2}a^{-2}-17z^{2}-5a^{4}+11a^{2}+a^{-2}-6$
Kauffman polynomial	$4a^{2}z^{12}+4z^{12}+14a^{3}z^{11}+24az^{11}+10z^{11}a^{-1}+22a^{4}z^{10}+28a^{2}z^{10}+10z^{10}a^{-2}+16z^{10}+22a^{5}z^{9}-11a^{3}z^{9}-59az^{9}-21z^{9}a^{-1}+5z^{9}a^{-3}+17a^{6}z^{8}-43a^{4}z^{8}-111a^{2}z^{8}-32z^{8}a^{-2}+z^{8}a^{-4}-84z^{8}+10a^{7}z^{7}-38a^{5}z^{7}-31a^{3}z^{7}+26az^{7}-8z^{7}a^{-1}-17z^{7}a^{-3}+4a^{8}z^{6}-25a^{6}z^{6}+40a^{4}z^{6}+137a^{2}z^{6}+29z^{6}a^{-2}-3z^{6}a^{-4}+100z^{6}+a^{9}z^{5}-12a^{7}z^{5}+28a^{5}z^{5}+46a^{3}z^{5}+15az^{5}+29z^{5}a^{-1}+19z^{5}a^{-3}-3a^{8}z^{4}+17a^{6}z^{4}-33a^{4}z^{4}-99a^{2}z^{4}-7z^{4}a^{-2}+3z^{4}a^{-4}-56z^{4}-a^{9}z^{3}+8a^{7}z^{3}-9a^{5}z^{3}-34a^{3}z^{3}-20az^{3}-11z^{3}a^{-1}-7z^{3}a^{-3}-2a^{6}z^{2}+19a^{4}z^{2}+43a^{2}z^{2}+2z^{2}a^{-2}-z^{2}a^{-4}+25z^{2}-2a^{7}z+3a^{5}z+11a^{3}z+9az+3za^{-1}-5a^{4}-11a^{2}-a^{-2}-6$