K12a49

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{2}+4q-10+19q^{-1}-28q^{-2}+35q^{-3}-36q^{-4}+35q^{-5}-28q^{-6}+19q^{-7}-11q^{-8}+4q^{-9}-q^{-10}$
Alexander polynomial	$5t^{3}-23t^{2}+53t-69+53t^{-1}-23t^{-2}+5t^{-3}$
Conway polynomial	$5z^{6}+7z^{4}+6z^{2}+1$
Determinant	231
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{8}-z^{2}a^{8}-a^{8}+z^{6}a^{6}-2z^{2}a^{6}-2a^{6}+3z^{6}a^{4}+9z^{4}a^{4}+12z^{2}a^{4}+6a^{4}+z^{6}a^{2}-2z^{2}a^{2}-2a^{2}-z^{4}-z^{2}$
Kauffman polynomial	$z^{7}a^{11}-3z^{5}a^{11}+3z^{3}a^{11}-za^{11}+4z^{8}a^{10}-11z^{6}a^{10}+10z^{4}a^{10}-3z^{2}a^{10}+8z^{9}a^{9}-22z^{7}a^{9}+21z^{5}a^{9}-11z^{3}a^{9}+5za^{9}+7z^{10}a^{8}-7z^{8}a^{8}-17z^{6}a^{8}+21z^{4}a^{8}-5z^{2}a^{8}-a^{8}+2z^{11}a^{7}+21z^{9}a^{7}-68z^{7}a^{7}+63z^{5}a^{7}-29z^{3}a^{7}+7za^{7}+15z^{10}a^{6}-12z^{8}a^{6}-42z^{6}a^{6}+54z^{4}a^{6}-23z^{2}a^{6}+2a^{6}+2z^{11}a^{5}+27z^{9}a^{5}-68z^{7}a^{5}+46z^{5}a^{5}-9z^{3}a^{5}-za^{5}+8z^{10}a^{4}+13z^{8}a^{4}-61z^{6}a^{4}+65z^{4}a^{4}-30z^{2}a^{4}+6a^{4}+14z^{9}a^{3}-14z^{7}a^{3}-5z^{5}a^{3}+14z^{3}a^{3}-4za^{3}+14z^{8}a^{2}-21z^{6}a^{2}+18z^{4}a^{2}-8z^{2}a^{2}+2a^{2}+9z^{7}a-11z^{5}a+7z^{3}a-2za+4z^{6}-4z^{4}+z^{2}+z^{5}a^{-1}-z^{3}a^{-1}$