K13a3667

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3667/Jones Polynomial
Alexander polynomial	$-t^{5}+6t^{4}-19t^{3}+39t^{2}-56t+63-56t^{-1}+39t^{-2}-19t^{-3}+6t^{-4}-t^{-5}$
Conway polynomial	Data:K13a3667/Conway Polynomial
Determinant	305
Signature	-4
HOMFLY-PT polynomial	$-a^{4}z^{10}+a^{6}z^{8}-7a^{4}z^{8}+2a^{2}z^{8}+5a^{6}z^{6}-20a^{4}z^{6}+10a^{2}z^{6}-z^{6}+9a^{6}z^{4}-28a^{4}z^{4}+17a^{2}z^{4}-3z^{4}+7a^{6}z^{2}-17a^{4}z^{2}+12a^{2}z^{2}-2z^{2}+a^{6}-3a^{4}+3a^{2}$
Kauffman polynomial	$z^{4}a^{12}+4z^{5}a^{11}+10z^{6}a^{10}-5z^{4}a^{10}+z^{2}a^{10}+19z^{7}a^{9}-23z^{5}a^{9}+8z^{3}a^{9}+28z^{8}a^{8}-51z^{6}a^{8}+24z^{4}a^{8}-4z^{2}a^{8}+33z^{9}a^{7}-79z^{7}a^{7}+56z^{5}a^{7}-25z^{3}a^{7}+5za^{7}+29z^{10}a^{6}-74z^{8}a^{6}+44z^{6}a^{6}-13z^{4}a^{6}+5z^{2}a^{6}-a^{6}+16z^{11}a^{5}-18z^{9}a^{5}-79z^{7}a^{5}+135z^{5}a^{5}-73z^{3}a^{5}+14za^{5}+4z^{12}a^{4}+30z^{10}a^{4}-164z^{8}a^{4}+225z^{6}a^{4}-119z^{4}a^{4}+30z^{2}a^{4}-3a^{4}+24z^{11}a^{3}-84z^{9}a^{3}+56z^{7}a^{3}+53z^{5}a^{3}-57z^{3}a^{3}+14za^{3}+4z^{12}a^{2}+6z^{10}a^{2}-85z^{8}a^{2}+157z^{6}a^{2}-100z^{4}a^{2}+25z^{2}a^{2}-3a^{2}+8z^{11}a-32z^{9}a+33z^{7}a+7z^{5}a-21z^{3}a+6za+5z^{10}-23z^{8}+37z^{6}-24z^{4}+5z^{2}+z^{9}a^{-1}-4z^{7}a^{-1}+6z^{5}a^{-1}-4z^{3}a^{-1}+za^{-1}$