K13n279

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n279/Jones Polynomial
Alexander polynomial	$t^{3}-6t^{2}+14t-17+14t^{-1}-6t^{-2}+t^{-3}$
Conway polynomial	Data:K13n279/Conway Polynomial
Determinant	59
Signature	2
HOMFLY-PT polynomial	$z^{6}a^{-6}-z^{4}a^{-2}-2z^{4}a^{-4}+4z^{4}a^{-6}-z^{4}a^{-8}-2z^{2}a^{-2}-4z^{2}a^{-4}+6z^{2}a^{-6}-2z^{2}a^{-8}+z^{2}-a^{-2}-2a^{-4}+3a^{-6}-a^{-8}+2$
Kauffman polynomial	$z^{11}a^{-5}+z^{11}a^{-7}+z^{10}a^{-4}+4z^{10}a^{-6}+3z^{10}a^{-8}-5z^{9}a^{-5}-z^{9}a^{-7}+4z^{9}a^{-9}-6z^{8}a^{-4}-22z^{8}a^{-6}-13z^{8}a^{-8}+3z^{8}a^{-10}+2z^{7}a^{-3}+10z^{7}a^{-5}-11z^{7}a^{-7}-18z^{7}a^{-9}+z^{7}a^{-11}+z^{6}a^{-2}+17z^{6}a^{-4}+44z^{6}a^{-6}+15z^{6}a^{-8}-13z^{6}a^{-10}+z^{5}a^{-1}-6z^{5}a^{-3}-10z^{5}a^{-5}+22z^{5}a^{-7}+21z^{5}a^{-9}-4z^{5}a^{-11}-22z^{4}a^{-4}-42z^{4}a^{-6}-8z^{4}a^{-8}+13z^{4}a^{-10}+z^{4}-z^{3}a^{-1}+9z^{3}a^{-3}+7z^{3}a^{-5}-15z^{3}a^{-7}-9z^{3}a^{-9}+3z^{3}a^{-11}-2z^{2}a^{-2}+14z^{2}a^{-4}+19z^{2}a^{-6}+3z^{2}a^{-8}-3z^{2}a^{-10}-3z^{2}-za^{-1}-4za^{-3}-2za^{-5}+3za^{-7}+2za^{-9}+a^{-2}-2a^{-4}-3a^{-6}-a^{-8}+2$