K13n3128

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3128/Jones Polynomial
Alexander polynomial	$-6t^{2}+27t-41+27t^{-1}-6t^{-2}$
Conway polynomial	Data:K13n3128/Conway Polynomial
Determinant	107
Signature	-2
HOMFLY-PT polynomial	$-a^{10}+3z^{2}a^{8}+a^{8}-2z^{4}a^{6}+a^{6}-3z^{4}a^{4}-3z^{2}a^{4}-2a^{4}-z^{4}a^{2}+2z^{2}a^{2}+2a^{2}+z^{2}$
Kauffman polynomial	$z^{7}a^{11}-4z^{5}a^{11}+5z^{3}a^{11}-2za^{11}+3z^{8}a^{10}-11z^{6}a^{10}+11z^{4}a^{10}-4z^{2}a^{10}+a^{10}+4z^{9}a^{9}-12z^{7}a^{9}+6z^{5}a^{9}+z^{3}a^{9}+3z^{10}a^{8}-5z^{8}a^{8}-8z^{6}a^{8}+12z^{4}a^{8}-5z^{2}a^{8}+a^{8}+z^{11}a^{7}+4z^{9}a^{7}-20z^{7}a^{7}+21z^{5}a^{7}-11z^{3}a^{7}+2za^{7}+5z^{10}a^{6}-13z^{8}a^{6}+10z^{6}a^{6}-4z^{4}a^{6}+2z^{2}a^{6}-a^{6}+z^{11}a^{5}+z^{9}a^{5}-5z^{7}a^{5}+5z^{5}a^{5}-za^{5}+2z^{10}a^{4}-5z^{8}a^{4}+13z^{6}a^{4}-15z^{4}a^{4}+10z^{2}a^{4}-2a^{4}+z^{9}a^{3}+2z^{7}a^{3}-3z^{5}a^{3}+4z^{3}a^{3}-za^{3}+6z^{6}a^{2}-9z^{4}a^{2}+6z^{2}a^{2}-2a^{2}+3z^{5}a-3z^{3}a+z^{4}-z^{2}$