K13n1876

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1876/Jones Polynomial
Alexander polynomial	$-t^{3}+9t^{2}-21t+27-21t^{-1}+9t^{-2}-t^{-3}$
Conway polynomial	Data:K13n1876/Conway Polynomial
Determinant	89
Signature	-4
HOMFLY-PT polynomial	$-2z^{2}a^{10}-2a^{10}+3z^{4}a^{8}+6z^{2}a^{8}+3a^{8}-z^{6}a^{6}-2z^{4}a^{6}-2z^{2}a^{6}-2a^{6}+2z^{4}a^{4}+4z^{2}a^{4}+2a^{4}$
Kauffman polynomial	$3z^{5}a^{13}-7z^{3}a^{13}+3za^{13}+z^{8}a^{12}+2z^{6}a^{12}-8z^{4}a^{12}+4z^{2}a^{12}+2z^{9}a^{11}-2z^{7}a^{11}+z^{5}a^{11}-4z^{3}a^{11}+za^{11}+z^{10}a^{10}+3z^{8}a^{10}-8z^{6}a^{10}+7z^{4}a^{10}-6z^{2}a^{10}+2a^{10}+5z^{9}a^{9}-7z^{7}a^{9}+2z^{5}a^{9}+2z^{3}a^{9}-za^{9}+z^{10}a^{8}+5z^{8}a^{8}-14z^{6}a^{8}+20z^{4}a^{8}-13z^{2}a^{8}+3a^{8}+3z^{9}a^{7}-4z^{7}a^{7}+7z^{5}a^{7}-5z^{3}a^{7}+za^{7}+3z^{8}a^{6}-4z^{6}a^{6}+8z^{4}a^{6}-8z^{2}a^{6}+2a^{6}+z^{7}a^{5}+3z^{5}a^{5}-4z^{3}a^{5}+3z^{4}a^{4}-5z^{2}a^{4}+2a^{4}$