K13n1404

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1404/Jones Polynomial
Alexander polynomial	$-2t^{3}+9t^{2}-15t+17-15t^{-1}+9t^{-2}-2t^{-3}$
Conway polynomial	Data:K13n1404/Conway Polynomial
Determinant	69
Signature	-4
HOMFLY-PT polynomial	$z^{4}a^{10}+2z^{2}a^{10}-z^{6}a^{8}-3z^{4}a^{8}-2z^{2}a^{8}-z^{6}a^{6}-3z^{4}a^{6}-3z^{2}a^{6}-2a^{6}+2z^{4}a^{4}+6z^{2}a^{4}+3a^{4}$
Kauffman polynomial	$z^{6}a^{14}-3z^{4}a^{14}+z^{2}a^{14}+3z^{7}a^{13}-10z^{5}a^{13}+6z^{3}a^{13}-za^{13}+4z^{8}a^{12}-13z^{6}a^{12}+8z^{4}a^{12}-z^{2}a^{12}+4z^{9}a^{11}-14z^{7}a^{11}+12z^{5}a^{11}-z^{3}a^{11}-2za^{11}+3z^{10}a^{10}-12z^{8}a^{10}+16z^{6}a^{10}-7z^{4}a^{10}+z^{2}a^{10}+z^{11}a^{9}-z^{9}a^{9}-9z^{7}a^{9}+22z^{5}a^{9}-10z^{3}a^{9}+za^{9}+4z^{10}a^{8}-22z^{8}a^{8}+45z^{6}a^{8}-32z^{4}a^{8}+8z^{2}a^{8}+z^{11}a^{7}-5z^{9}a^{7}+9z^{7}a^{7}-2z^{5}a^{7}-2z^{3}a^{7}+za^{7}+z^{10}a^{6}-6z^{8}a^{6}+15z^{6}a^{6}-12z^{4}a^{6}-z^{2}a^{6}+2a^{6}+z^{7}a^{5}-2z^{5}a^{5}+z^{3}a^{5}-za^{5}+2z^{4}a^{4}-6z^{2}a^{4}+3a^{4}$