K13n4773

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4773/Jones Polynomial
Alexander polynomial	$3t^{3}-17t^{2}+41t-53+41t^{-1}-17t^{-2}+3t^{-3}$
Conway polynomial	Data:K13n4773/Conway Polynomial
Determinant	175
Signature	-2
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-3z^{4}a^{6}-5z^{2}a^{6}-3a^{6}+2z^{6}a^{4}+5z^{4}a^{4}+6z^{2}a^{4}+3a^{4}+z^{6}a^{2}-2z^{2}a^{2}-a^{2}-z^{4}+1$
Kauffman polynomial	$2a^{5}z^{11}+2a^{3}z^{11}+7a^{6}z^{10}+11a^{4}z^{10}+4a^{2}z^{10}+10a^{7}z^{9}+13a^{5}z^{9}+5a^{3}z^{9}+2az^{9}+8a^{8}z^{8}-6a^{6}z^{8}-23a^{4}z^{8}-9a^{2}z^{8}+4a^{9}z^{7}-20a^{7}z^{7}-46a^{5}z^{7}-23a^{3}z^{7}-az^{7}+a^{10}z^{6}-16a^{8}z^{6}-15a^{6}z^{6}+11a^{4}z^{6}+14a^{2}z^{6}+5z^{6}-8a^{9}z^{5}+11a^{7}z^{5}+55a^{5}z^{5}+38a^{3}z^{5}+3az^{5}+z^{5}a^{-1}-2a^{10}z^{4}+8a^{8}z^{4}+24a^{6}z^{4}+19a^{4}z^{4}-3a^{2}z^{4}-8z^{4}+4a^{9}z^{3}-6a^{7}z^{3}-26a^{5}z^{3}-20a^{3}z^{3}-6az^{3}-2z^{3}a^{-1}+a^{10}z^{2}-4a^{8}z^{2}-15a^{6}z^{2}-15a^{4}z^{2}-5a^{2}z^{2}-a^{9}z+4a^{5}z+4a^{3}z+az+a^{8}+3a^{6}+3a^{4}+a^{2}+1$