K12a177

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{3}-3q^{2}+8q-15+21q^{-1}-25q^{-2}+28q^{-3}-25q^{-4}+20q^{-5}-14q^{-6}+7q^{-7}-3q^{-8}+q^{-9}$
Alexander polynomial	$2t^{3}-15t^{2}+41t-55+41t^{-1}-15t^{-2}+2t^{-3}$
Conway polynomial	$2z^{6}-3z^{4}-z^{2}+1$
Determinant	171
Signature	-2
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-2z^{4}a^{6}-3z^{2}a^{6}-3a^{6}+z^{6}a^{4}+z^{4}a^{4}+3z^{2}a^{4}+3a^{4}+z^{6}a^{2}-z^{2}a^{2}-2z^{4}-2z^{2}-1+z^{2}a^{-2}+a^{-2}$
Kauffman polynomial	$a^{5}z^{11}+a^{3}z^{11}+4a^{6}z^{10}+8a^{4}z^{10}+4a^{2}z^{10}+6a^{7}z^{9}+13a^{5}z^{9}+13a^{3}z^{9}+6az^{9}+5a^{8}z^{8}-9a^{4}z^{8}+a^{2}z^{8}+5z^{8}+3a^{9}z^{7}-12a^{7}z^{7}-39a^{5}z^{7}-36a^{3}z^{7}-9az^{7}+3z^{7}a^{-1}+a^{10}z^{6}-11a^{8}z^{6}-14a^{6}z^{6}-3a^{4}z^{6}-10a^{2}z^{6}+z^{6}a^{-2}-8z^{6}-8a^{9}z^{5}+9a^{7}z^{5}+50a^{5}z^{5}+45a^{3}z^{5}+5az^{5}-7z^{5}a^{-1}-3a^{10}z^{4}+7a^{8}z^{4}+20a^{6}z^{4}+11a^{4}z^{4}+4a^{2}z^{4}-3z^{4}a^{-2}+6a^{9}z^{3}-2a^{7}z^{3}-27a^{5}z^{3}-30a^{3}z^{3}-6az^{3}+5z^{3}a^{-1}+2a^{10}z^{2}-3a^{8}z^{2}-10a^{6}z^{2}-6a^{4}z^{2}+3z^{2}a^{-2}+4z^{2}-2a^{9}z-2a^{7}z+4a^{5}z+6a^{3}z+az-za^{-1}+a^{8}+3a^{6}+3a^{4}-a^{-2}-1$