K13a4520

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4520/Jones Polynomial
Alexander polynomial	$t^{5}-6t^{4}+20t^{3}-46t^{2}+75t-87+75t^{-1}-46t^{-2}+20t^{-3}-6t^{-4}+t^{-5}$
Conway polynomial	Data:K13a4520/Conway Polynomial
Determinant	383
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+7a^{2}z^{8}-z^{8}+a^{6}z^{6}-10a^{4}z^{6}+21a^{2}z^{6}-5z^{6}+3a^{6}z^{4}-20a^{4}z^{4}+31a^{2}z^{4}-10z^{4}+4a^{6}z^{2}-18a^{4}z^{2}+22a^{2}z^{2}-8z^{2}+2a^{6}-6a^{4}+6a^{2}-1$
Kauffman polynomial	$3a^{4}z^{12}+3a^{2}z^{12}+11a^{5}z^{11}+21a^{3}z^{11}+10az^{11}+19a^{6}z^{10}+32a^{4}z^{10}+26a^{2}z^{10}+13z^{10}+20a^{7}z^{9}+11a^{5}z^{9}-29a^{3}z^{9}-11az^{9}+9z^{9}a^{-1}+13a^{8}z^{8}-21a^{6}z^{8}-84a^{4}z^{8}-90a^{2}z^{8}+4z^{8}a^{-2}-36z^{8}+5a^{9}z^{7}-34a^{7}z^{7}-56a^{5}z^{7}-6a^{3}z^{7}-15az^{7}-25z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-21a^{8}z^{6}-4a^{6}z^{6}+84a^{4}z^{6}+120a^{2}z^{6}-11z^{6}a^{-2}+43z^{6}-6a^{9}z^{5}+22a^{7}z^{5}+47a^{5}z^{5}+23a^{3}z^{5}+31az^{5}+24z^{5}a^{-1}-3z^{5}a^{-3}-a^{10}z^{4}+13a^{8}z^{4}+4a^{6}z^{4}-59a^{4}z^{4}-88a^{2}z^{4}+8z^{4}a^{-2}-31z^{4}+2a^{9}z^{3}-9a^{7}z^{3}-18a^{5}z^{3}-9a^{3}z^{3}-15az^{3}-11z^{3}a^{-1}+2z^{3}a^{-3}-3a^{8}z^{2}+3a^{6}z^{2}+29a^{4}z^{2}+37a^{2}z^{2}-2z^{2}a^{-2}+12z^{2}+2a^{7}z+3a^{5}z+a^{3}z+az+za^{-1}-2a^{6}-6a^{4}-6a^{2}-1$