K12a1220

Dowker-Thistlethwaite code

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

Jones polynomial	$-1+3q^{-1}-4q^{-2}+8q^{-3}-10q^{-4}+12q^{-5}-13q^{-6}+12q^{-7}-11q^{-8}+8q^{-9}-5q^{-10}+3q^{-11}-q^{-12}$
Alexander polynomial	$t^{5}-4t^{4}+8t^{3}-11t^{2}+14t-15+14t^{-1}-11t^{-2}+8t^{-3}-4t^{-4}+t^{-5}$
Conway polynomial	$z^{10}+6z^{8}+11z^{6}+7z^{4}+3z^{2}+1$
Determinant	91
Signature	-6
HOMFLY-PT polynomial	$a^{6}z^{10}-a^{8}z^{8}+8a^{6}z^{8}-a^{4}z^{8}-6a^{8}z^{6}+23a^{6}z^{6}-6a^{4}z^{6}-11a^{8}z^{4}+28a^{6}z^{4}-10a^{4}z^{4}-6a^{8}z^{2}+11a^{6}z^{2}-2a^{4}z^{2}-2a^{6}+3a^{4}$
Kauffman polynomial	$z^{3}a^{15}+3z^{4}a^{14}-z^{2}a^{14}+5z^{5}a^{13}-3z^{3}a^{13}+7z^{6}a^{12}-8z^{4}a^{12}+9z^{7}a^{11}-19z^{5}a^{11}+9z^{3}a^{11}-2za^{11}+9z^{8}a^{10}-24z^{6}a^{10}+13z^{4}a^{10}-z^{2}a^{10}+7z^{9}a^{9}-19z^{7}a^{9}+2z^{5}a^{9}+13z^{3}a^{9}-4za^{9}+5z^{10}a^{8}-17z^{8}a^{8}+12z^{6}a^{8}-4z^{4}a^{8}+6z^{2}a^{8}+2z^{11}a^{7}-3z^{9}a^{7}-16z^{7}a^{7}+30z^{5}a^{7}-8z^{3}a^{7}-4za^{7}+8z^{10}a^{6}-46z^{8}a^{6}+88z^{6}a^{6}-66z^{4}a^{6}+15z^{2}a^{6}+2a^{6}+2z^{11}a^{5}-9z^{9}a^{5}+6z^{7}a^{5}+15z^{5}a^{5}-14z^{3}a^{5}-za^{5}+3z^{10}a^{4}-20z^{8}a^{4}+45z^{6}a^{4}-38z^{4}a^{4}+7z^{2}a^{4}+3a^{4}+z^{9}a^{3}-6z^{7}a^{3}+11z^{5}a^{3}-6z^{3}a^{3}+za^{3}$