K13n1635

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1635/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-15t^{2}+21t-21+21t^{-1}-15t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K13n1635/Conway Polynomial
Determinant	107
Signature	-2
HOMFLY-PT polynomial	$-a^{2}z^{8}+a^{4}z^{6}-5a^{2}z^{6}+2z^{6}+3a^{4}z^{4}-9a^{2}z^{4}-z^{4}a^{-2}+8z^{4}+a^{4}z^{2}-8a^{2}z^{2}-3z^{2}a^{-2}+9z^{2}+a^{6}-a^{4}-2a^{2}-a^{-2}+4$
Kauffman polynomial	$a^{3}z^{11}+az^{11}+2a^{4}z^{10}+5a^{2}z^{10}+3z^{10}+a^{5}z^{9}+a^{3}z^{9}+4az^{9}+4z^{9}a^{-1}-5a^{4}z^{8}-13a^{2}z^{8}+3z^{8}a^{-2}-5z^{8}+2a^{5}z^{7}-4a^{3}z^{7}-20az^{7}-13z^{7}a^{-1}+z^{7}a^{-3}+6a^{6}z^{6}+15a^{4}z^{6}+10a^{2}z^{6}-12z^{6}a^{-2}-11z^{6}+3a^{7}z^{5}-a^{5}z^{5}+2a^{3}z^{5}+18az^{5}+8z^{5}a^{-1}-4z^{5}a^{-3}+a^{8}z^{4}-8a^{6}z^{4}-19a^{4}z^{4}-2a^{2}z^{4}+14z^{4}a^{-2}+22z^{4}-3a^{7}z^{3}+a^{5}z^{3}+4a^{3}z^{3}-2az^{3}+2z^{3}a^{-1}+4z^{3}a^{-3}-a^{8}z^{2}+5a^{6}z^{2}+10a^{4}z^{2}-3a^{2}z^{2}-7z^{2}a^{-2}-14z^{2}+a^{7}z-a^{5}z-4a^{3}z-3az-2za^{-1}-za^{-3}-a^{6}-a^{4}+2a^{2}+a^{-2}+4$