K13a1899

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1899/Jones Polynomial
Alexander polynomial	$-2t^{4}+14t^{3}-43t^{2}+80t-97+80t^{-1}-43t^{-2}+14t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a1899/Conway Polynomial
Determinant	375
Signature	-2
HOMFLY-PT polynomial	$-a^{4}z^{8}-a^{2}z^{8}+a^{6}z^{6}-3a^{4}z^{6}-2a^{2}z^{6}+2z^{6}+2a^{6}z^{4}-4a^{4}z^{4}-z^{4}a^{-2}+4z^{4}+a^{6}z^{2}-3a^{4}z^{2}+4a^{2}z^{2}-z^{2}a^{-2}+z^{2}-2a^{4}+4a^{2}-1$
Kauffman polynomial	$2a^{4}z^{12}+2a^{2}z^{12}+9a^{5}z^{11}+17a^{3}z^{11}+8az^{11}+17a^{6}z^{10}+35a^{4}z^{10}+31a^{2}z^{10}+13z^{10}+18a^{7}z^{9}+18a^{5}z^{9}-2a^{3}z^{9}+9az^{9}+11z^{9}a^{-1}+12a^{8}z^{8}-20a^{6}z^{8}-88a^{4}z^{8}-86a^{2}z^{8}+5z^{8}a^{-2}-25z^{8}+5a^{9}z^{7}-32a^{7}z^{7}-79a^{5}z^{7}-80a^{3}z^{7}-67az^{7}-28z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-20a^{8}z^{6}-3a^{6}z^{6}+73a^{4}z^{6}+73a^{2}z^{6}-12z^{6}a^{-2}+6z^{6}-7a^{9}z^{5}+21a^{7}z^{5}+87a^{5}z^{5}+113a^{3}z^{5}+78az^{5}+22z^{5}a^{-1}-2z^{5}a^{-3}-a^{10}z^{4}+10a^{8}z^{4}+10a^{6}z^{4}-23a^{4}z^{4}-24a^{2}z^{4}+8z^{4}a^{-2}+6z^{4}+2a^{9}z^{3}-8a^{7}z^{3}-40a^{5}z^{3}-57a^{3}z^{3}-36az^{3}-8z^{3}a^{-1}+z^{3}a^{-3}-2a^{8}z^{2}-3a^{6}z^{2}+5a^{4}z^{2}+7a^{2}z^{2}-2z^{2}a^{-2}-z^{2}+a^{7}z+7a^{5}z+11a^{3}z+7az+2za^{-1}-2a^{4}-4a^{2}-1$