K13a4120

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4120/Jones Polynomial
Alexander polynomial	$3t^{4}-12t^{3}+21t^{2}-26t+29-26t^{-1}+21t^{-2}-12t^{-3}+3t^{-4}$
Conway polynomial	Data:K13a4120/Conway Polynomial
Determinant	153
Signature	4
HOMFLY-PT polynomial	$2z^{8}a^{-2}+z^{8}a^{-4}+12z^{6}a^{-2}+4z^{6}a^{-4}-z^{6}a^{-6}-3z^{6}+a^{2}z^{4}+25z^{4}a^{-2}+2z^{4}a^{-4}-4z^{4}a^{-6}-15z^{4}+4a^{2}z^{2}+23z^{2}a^{-2}-4z^{2}a^{-4}-3z^{2}a^{-6}-22z^{2}+4a^{2}+8a^{-2}-2a^{-4}-9$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}+3az^{11}+11z^{11}a^{-1}+8z^{11}a^{-3}+a^{2}z^{10}+9z^{10}a^{-2}+15z^{10}a^{-4}-5z^{10}-20az^{9}-62z^{9}a^{-1}-23z^{9}a^{-3}+19z^{9}a^{-5}-7a^{2}z^{8}-93z^{8}a^{-2}-58z^{8}a^{-4}+18z^{8}a^{-6}-24z^{8}+47az^{7}+109z^{7}a^{-1}-22z^{7}a^{-3}-70z^{7}a^{-5}+14z^{7}a^{-7}+19a^{2}z^{6}+197z^{6}a^{-2}+53z^{6}a^{-4}-53z^{6}a^{-6}+10z^{6}a^{-8}+100z^{6}-45az^{5}-57z^{5}a^{-1}+93z^{5}a^{-3}+71z^{5}a^{-5}-28z^{5}a^{-7}+6z^{5}a^{-9}-25a^{2}z^{4}-155z^{4}a^{-2}-5z^{4}a^{-4}+37z^{4}a^{-6}-13z^{4}a^{-8}+3z^{4}a^{-10}-122z^{4}+14az^{3}-8z^{3}a^{-1}-62z^{3}a^{-3}-29z^{3}a^{-5}+7z^{3}a^{-7}-3z^{3}a^{-9}+z^{3}a^{-11}+16a^{2}z^{2}+52z^{2}a^{-2}-10z^{2}a^{-6}+2z^{2}a^{-8}+56z^{2}+8za^{-1}+14za^{-3}+6za^{-5}-4a^{2}-8a^{-2}-2a^{-4}-9$