K13n3300

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3300/Jones Polynomial
Alexander polynomial	$-2t^{3}+11t^{2}-26t+35-26t^{-1}+11t^{-2}-2t^{-3}$
Conway polynomial	Data:K13n3300/Conway Polynomial
Determinant	113
Signature	0
HOMFLY-PT polynomial	$z^{4}a^{6}+2z^{2}a^{6}+a^{6}-z^{6}a^{4}-3z^{4}a^{4}-5z^{2}a^{4}-3a^{4}-z^{6}a^{2}-z^{4}a^{2}+2z^{2}a^{2}+3a^{2}+2z^{4}+2z^{2}-z^{2}a^{-2}$
Kauffman polynomial	$2a^{5}z^{11}+2a^{3}z^{11}+4a^{6}z^{10}+9a^{4}z^{10}+5a^{2}z^{10}+3a^{7}z^{9}-2a^{5}z^{9}+a^{3}z^{9}+6az^{9}+a^{8}z^{8}-18a^{6}z^{8}-36a^{4}z^{8}-13a^{2}z^{8}+4z^{8}-15a^{7}z^{7}-17a^{5}z^{7}-19a^{3}z^{7}-16az^{7}+z^{7}a^{-1}-5a^{8}z^{6}+25a^{6}z^{6}+46a^{4}z^{6}+9a^{2}z^{6}-7z^{6}+24a^{7}z^{5}+31a^{5}z^{5}+17a^{3}z^{5}+14az^{5}+4z^{5}a^{-1}+7a^{8}z^{4}-14a^{6}z^{4}-33a^{4}z^{4}-9a^{2}z^{4}+4z^{4}a^{-2}+7z^{4}-14a^{7}z^{3}-19a^{5}z^{3}-5a^{3}z^{3}-4az^{3}-3z^{3}a^{-1}+z^{3}a^{-3}-2a^{8}z^{2}+4a^{6}z^{2}+15a^{4}z^{2}+9a^{2}z^{2}-2z^{2}a^{-2}-2z^{2}+2a^{7}z+4a^{5}z+2a^{3}z-a^{6}-3a^{4}-3a^{2}$