K13n3588

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3588/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-8t^{2}+3t+1+3t^{-1}-8t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K13n3588/Conway Polynomial
Determinant	35
Signature	-6
HOMFLY-PT polynomial	$a^{12}-z^{4}a^{10}-7z^{2}a^{10}-6a^{10}+2z^{6}a^{8}+11z^{4}a^{8}+15z^{2}a^{8}+6a^{8}-z^{8}a^{6}-5z^{6}a^{6}-6z^{4}a^{6}-2z^{2}a^{6}+z^{6}a^{4}+4z^{4}a^{4}+3z^{2}a^{4}$
Kauffman polynomial	$z^{5}a^{13}-5z^{3}a^{13}+4za^{13}-2z^{4}a^{12}+a^{12}-3z^{5}a^{11}+3z^{3}a^{11}-2za^{11}+z^{10}a^{10}-5z^{8}a^{10}+2z^{6}a^{10}+10z^{4}a^{10}-16z^{2}a^{10}+6a^{10}+z^{11}a^{9}-4z^{9}a^{9}+z^{7}a^{9}-2z^{5}a^{9}+11z^{3}a^{9}-7za^{9}+4z^{10}a^{8}-21z^{8}a^{8}+26z^{6}a^{8}-3z^{4}a^{8}-10z^{2}a^{8}+6a^{8}+z^{11}a^{7}-z^{9}a^{7}-15z^{7}a^{7}+26z^{5}a^{7}-8z^{3}a^{7}-za^{7}+3z^{10}a^{6}-15z^{8}a^{6}+19z^{6}a^{6}-8z^{4}a^{6}+3z^{2}a^{6}+3z^{9}a^{5}-16z^{7}a^{5}+24z^{5}a^{5}-11z^{3}a^{5}+z^{8}a^{4}-5z^{6}a^{4}+7z^{4}a^{4}-3z^{2}a^{4}$