K13n3878

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3878/Jones Polynomial
Alexander polynomial	$t^{5}-4t^{4}+7t^{3}-10t^{2}+14t-15+14t^{-1}-10t^{-2}+7t^{-3}-4t^{-4}+t^{-5}$
Conway polynomial	Data:K13n3878/Conway Polynomial
Determinant	87
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+8a^{2}z^{8}-z^{8}-6a^{4}z^{6}+23a^{2}z^{6}-7z^{6}-11a^{4}z^{4}+29a^{2}z^{4}+z^{4}a^{-2}-17z^{4}-6a^{4}z^{2}+17a^{2}z^{2}+4z^{2}a^{-2}-17z^{2}-a^{4}+5a^{2}+3a^{-2}-6$
Kauffman polynomial	$2a^{3}z^{11}+2az^{11}+4a^{4}z^{10}+7a^{2}z^{10}+3z^{10}+4a^{5}z^{9}-7a^{3}z^{9}-10az^{9}+z^{9}a^{-1}+4a^{6}z^{8}-18a^{4}z^{8}-40a^{2}z^{8}-18z^{8}+4a^{7}z^{7}-12a^{5}z^{7}+6a^{3}z^{7}+21az^{7}-z^{7}a^{-1}+3a^{8}z^{6}-9a^{6}z^{6}+33a^{4}z^{6}+88a^{2}z^{6}+3z^{6}a^{-2}+46z^{6}+a^{9}z^{5}-9a^{7}z^{5}+12a^{5}z^{5}+6a^{3}z^{5}-25az^{5}-9z^{5}a^{-1}-7a^{8}z^{4}+5a^{6}z^{4}-22a^{4}z^{4}-85a^{2}z^{4}-13z^{4}a^{-2}-64z^{4}-2a^{9}z^{3}+4a^{7}z^{3}+2a^{5}z^{3}-2a^{3}z^{3}+14az^{3}+12z^{3}a^{-1}+2a^{8}z^{2}+a^{6}z^{2}+8a^{4}z^{2}+33a^{2}z^{2}+13z^{2}a^{-2}+37z^{2}-a^{7}z-2a^{5}z-2a^{3}z-4az-3za^{-1}-a^{4}-5a^{2}-3a^{-2}-6$