K12a240

Dowker-Thistlethwaite code

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

Jones polynomial	$-q+3-7q^{-1}+14q^{-2}-19q^{-3}+25q^{-4}-27q^{-5}+26q^{-6}-22q^{-7}+15q^{-8}-9q^{-9}+4q^{-10}-q^{-11}$
Alexander polynomial	$2t^{4}-9t^{3}+22t^{2}-34t+39-34t^{-1}+22t^{-2}-9t^{-3}+2t^{-4}$
Conway polynomial	$2z^{8}+7z^{6}+8z^{4}+5z^{2}+1$
Determinant	173
Signature	-4
HOMFLY-PT polynomial	$-z^{6}a^{8}-3z^{4}a^{8}-2z^{2}a^{8}+z^{8}a^{6}+4z^{6}a^{6}+4z^{4}a^{6}-2z^{2}a^{6}-4a^{6}+z^{8}a^{4}+5z^{6}a^{4}+11z^{4}a^{4}+14z^{2}a^{4}+7a^{4}-z^{6}a^{2}-4z^{4}a^{2}-5z^{2}a^{2}-2a^{2}$
Kauffman polynomial	$z^{5}a^{13}-z^{3}a^{13}+4z^{6}a^{12}-5z^{4}a^{12}+z^{2}a^{12}+8z^{7}a^{11}-12z^{5}a^{11}+7z^{3}a^{11}-2za^{11}+10z^{8}a^{10}-14z^{6}a^{10}+8z^{4}a^{10}-2z^{2}a^{10}+8z^{9}a^{9}-3z^{7}a^{9}-13z^{5}a^{9}+14z^{3}a^{9}-3za^{9}+4z^{10}a^{8}+10z^{8}a^{8}-31z^{6}a^{8}+22z^{4}a^{8}-3z^{2}a^{8}+z^{11}a^{7}+13z^{9}a^{7}-23z^{7}a^{7}-z^{5}a^{7}+16z^{3}a^{7}-7za^{7}+7z^{10}a^{6}-2z^{8}a^{6}-25z^{6}a^{6}+27z^{4}a^{6}-13z^{2}a^{6}+4a^{6}+z^{11}a^{5}+9z^{9}a^{5}-22z^{7}a^{5}+2z^{5}a^{5}+17z^{3}a^{5}-10za^{5}+3z^{10}a^{4}+z^{8}a^{4}-23z^{6}a^{4}+32z^{4}a^{4}-21z^{2}a^{4}+7a^{4}+4z^{9}a^{3}-9z^{7}a^{3}-z^{5}a^{3}+12z^{3}a^{3}-6za^{3}+3z^{8}a^{2}-11z^{6}a^{2}+14z^{4}a^{2}-8z^{2}a^{2}+2a^{2}+z^{7}a-4z^{5}a+5z^{3}a-2za$