K13a309

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a309/Jones Polynomial
Alexander polynomial	$3t^{4}-16t^{3}+42t^{2}-69t+81-69t^{-1}+42t^{-2}-16t^{-3}+3t^{-4}$
Conway polynomial	Data:K13a309/Conway Polynomial
Determinant	341
Signature	0
HOMFLY-PT polynomial	$2z^{8}a^{-2}+z^{8}-a^{2}z^{6}+9z^{6}a^{-2}-3z^{6}a^{-4}+3z^{6}-3a^{2}z^{4}+15z^{4}a^{-2}-10z^{4}a^{-4}+z^{4}a^{-6}+3z^{4}-3a^{2}z^{2}+11z^{2}a^{-2}-9z^{2}a^{-4}+2z^{2}a^{-6}+2z^{2}-a^{2}+3a^{-2}-2a^{-4}+1$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}a^{-4}+10z^{11}a^{-1}+17z^{11}a^{-3}+7z^{11}a^{-5}+37z^{10}a^{-2}+26z^{10}a^{-4}+9z^{10}a^{-6}+20z^{10}+23az^{9}+17z^{9}a^{-1}-14z^{9}a^{-3}-3z^{9}a^{-5}+5z^{9}a^{-7}+18a^{2}z^{8}-117z^{8}a^{-2}-102z^{8}a^{-4}-29z^{8}a^{-6}+z^{8}a^{-8}-27z^{8}+10a^{3}z^{7}-42az^{7}-102z^{7}a^{-1}-85z^{7}a^{-3}-53z^{7}a^{-5}-18z^{7}a^{-7}+4a^{4}z^{6}-29a^{2}z^{6}+112z^{6}a^{-2}+113z^{6}a^{-4}+27z^{6}a^{-6}-3z^{6}a^{-8}-4z^{6}+a^{5}z^{5}-11a^{3}z^{5}+35az^{5}+125z^{5}a^{-1}+145z^{5}a^{-3}+89z^{5}a^{-5}+22z^{5}a^{-7}-3a^{4}z^{4}+25a^{2}z^{4}-51z^{4}a^{-2}-52z^{4}a^{-4}-6z^{4}a^{-6}+3z^{4}a^{-8}+20z^{4}-a^{5}z^{3}+6a^{3}z^{3}-14az^{3}-69z^{3}a^{-1}-87z^{3}a^{-3}-49z^{3}a^{-5}-10z^{3}a^{-7}-9a^{2}z^{2}+13z^{2}a^{-2}+14z^{2}a^{-4}-z^{2}a^{-8}-9z^{2}-a^{3}z+3az+14za^{-1}+19za^{-3}+10za^{-5}+za^{-7}+a^{2}-3a^{-2}-2a^{-4}+1$