K13n2345

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2345/Jones Polynomial
Alexander polynomial	$-5t^{3}+22t^{2}-39t+45-39t^{-1}+22t^{-2}-5t^{-3}$
Conway polynomial	Data:K13n2345/Conway Polynomial
Determinant	177
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-4}-3z^{6}a^{-6}-z^{6}a^{-8}+z^{4}a^{-2}-9z^{4}a^{-6}-z^{4}a^{-8}+z^{4}a^{-10}+2z^{2}a^{-2}+5z^{2}a^{-4}-7z^{2}a^{-6}+z^{2}a^{-8}+3z^{2}a^{-10}+3a^{-4}-2a^{-6}-a^{-8}+2a^{-10}-a^{-12}$
Kauffman polynomial	$2z^{11}a^{-7}+2z^{11}a^{-9}+6z^{10}a^{-6}+11z^{10}a^{-8}+5z^{10}a^{-10}+8z^{9}a^{-5}+10z^{9}a^{-7}+6z^{9}a^{-9}+4z^{9}a^{-11}+6z^{8}a^{-4}-7z^{8}a^{-6}-24z^{8}a^{-8}-10z^{8}a^{-10}+z^{8}a^{-12}+3z^{7}a^{-3}-20z^{7}a^{-5}-34z^{7}a^{-7}-15z^{7}a^{-9}-4z^{7}a^{-11}+z^{6}a^{-2}-15z^{6}a^{-4}-7z^{6}a^{-6}+27z^{6}a^{-8}+24z^{6}a^{-10}+6z^{6}a^{-12}-7z^{5}a^{-3}+22z^{5}a^{-5}+40z^{5}a^{-7}+13z^{5}a^{-9}+5z^{5}a^{-11}+3z^{5}a^{-13}-3z^{4}a^{-2}+15z^{4}a^{-4}+22z^{4}a^{-6}-17z^{4}a^{-8}-34z^{4}a^{-10}-13z^{4}a^{-12}+3z^{3}a^{-3}-11z^{3}a^{-5}-16z^{3}a^{-7}-6z^{3}a^{-9}-9z^{3}a^{-11}-5z^{3}a^{-13}+2z^{2}a^{-2}-11z^{2}a^{-4}-15z^{2}a^{-6}+7z^{2}a^{-8}+15z^{2}a^{-10}+6z^{2}a^{-12}+2za^{-7}+2za^{-9}+2za^{-11}+2za^{-13}+3a^{-4}+2a^{-6}-a^{-8}-2a^{-10}-a^{-12}$