K12a393

Dowker-Thistlethwaite code

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

Jones polynomial	$q^{12}-5q^{11}+13q^{10}-23q^{9}+32q^{8}-40q^{7}+42q^{6}-38q^{5}+31q^{4}-20q^{3}+11q^{2}-4q+1$
Alexander polynomial	$-5t^{3}+27t^{2}-60t+77-60t^{-1}+27t^{-2}-5t^{-3}$
Conway polynomial	$-5z^{6}-3z^{4}+3z^{2}+1$
Determinant	261
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-4}-3z^{6}a^{-6}-z^{6}a^{-8}+z^{4}a^{-2}+z^{4}a^{-4}-7z^{4}a^{-6}+z^{4}a^{-8}+z^{4}a^{-10}+z^{2}a^{-2}+5z^{2}a^{-4}-6z^{2}a^{-6}+3z^{2}a^{-8}+3a^{-4}-2a^{-6}$
Kauffman polynomial	$3z^{11}a^{-7}+3z^{11}a^{-9}+9z^{10}a^{-6}+20z^{10}a^{-8}+11z^{10}a^{-10}+12z^{9}a^{-5}+24z^{9}a^{-7}+28z^{9}a^{-9}+16z^{9}a^{-11}+9z^{8}a^{-4}-24z^{8}a^{-8}-3z^{8}a^{-10}+12z^{8}a^{-12}+4z^{7}a^{-3}-21z^{7}a^{-5}-65z^{7}a^{-7}-75z^{7}a^{-9}-30z^{7}a^{-11}+5z^{7}a^{-13}+z^{6}a^{-2}-18z^{6}a^{-4}-30z^{6}a^{-6}-15z^{6}a^{-8}-27z^{6}a^{-10}-22z^{6}a^{-12}+z^{6}a^{-14}-7z^{5}a^{-3}+15z^{5}a^{-5}+59z^{5}a^{-7}+63z^{5}a^{-9}+19z^{5}a^{-11}-7z^{5}a^{-13}-2z^{4}a^{-2}+16z^{4}a^{-4}+38z^{4}a^{-6}+30z^{4}a^{-8}+23z^{4}a^{-10}+12z^{4}a^{-12}-z^{4}a^{-14}+3z^{3}a^{-3}-6z^{3}a^{-5}-24z^{3}a^{-7}-25z^{3}a^{-9}-8z^{3}a^{-11}+2z^{3}a^{-13}+z^{2}a^{-2}-10z^{2}a^{-4}-18z^{2}a^{-6}-10z^{2}a^{-8}-6z^{2}a^{-10}-3z^{2}a^{-12}+5za^{-7}+7za^{-9}+2za^{-11}+3a^{-4}+2a^{-6}$