K13a2505

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a2505/Jones Polynomial
Alexander polynomial	$-2t^{4}+14t^{3}-43t^{2}+82t-101+82t^{-1}-43t^{-2}+14t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a2505/Conway Polynomial
Determinant	383
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-2a^{8}+2z^{6}a^{6}+5z^{4}a^{6}+6z^{2}a^{6}+3a^{6}-z^{8}a^{4}-2z^{6}a^{4}-z^{4}a^{4}-a^{4}-z^{8}a^{2}-3z^{6}a^{2}-4z^{4}a^{2}-z^{2}a^{2}+a^{2}+z^{6}+2z^{4}+z^{2}$
Kauffman polynomial	$3a^{6}z^{12}+3a^{4}z^{12}+9a^{7}z^{11}+20a^{5}z^{11}+11a^{3}z^{11}+12a^{8}z^{10}+24a^{6}z^{10}+30a^{4}z^{10}+18a^{2}z^{10}+9a^{9}z^{9}-a^{7}z^{9}-21a^{5}z^{9}+7a^{3}z^{9}+18az^{9}+4a^{10}z^{8}-24a^{8}z^{8}-66a^{6}z^{8}-72a^{4}z^{8}-22a^{2}z^{8}+12z^{8}+a^{11}z^{7}-22a^{9}z^{7}-33a^{7}z^{7}-21a^{5}z^{7}-46a^{3}z^{7}-30az^{7}+5z^{7}a^{-1}-10a^{10}z^{6}+16a^{8}z^{6}+58a^{6}z^{6}+52a^{4}z^{6}-a^{2}z^{6}+z^{6}a^{-2}-20z^{6}-3a^{11}z^{5}+20a^{9}z^{5}+39a^{7}z^{5}+31a^{5}z^{5}+39a^{3}z^{5}+17az^{5}-7z^{5}a^{-1}+8a^{10}z^{4}-10a^{8}z^{4}-32a^{6}z^{4}-15a^{4}z^{4}+11a^{2}z^{4}-z^{4}a^{-2}+11z^{4}+3a^{11}z^{3}-10a^{9}z^{3}-22a^{7}z^{3}-12a^{5}z^{3}-8a^{3}z^{3}-3az^{3}+2z^{3}a^{-1}-2a^{10}z^{2}+7a^{8}z^{2}+13a^{6}z^{2}+4a^{4}z^{2}-2a^{2}z^{2}-2z^{2}-a^{11}z+3a^{9}z+5a^{7}z+a^{5}z-2a^{8}-3a^{6}-a^{4}-a^{2}$