K12a738

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{2}+3q-5+10q^{-1}-14q^{-2}+17q^{-3}-18q^{-4}+17q^{-5}-14q^{-6}+10q^{-7}-6q^{-8}+3q^{-9}-q^{-10}$
Alexander polynomial	$3t^{3}-13t^{2}+27t-33+27t^{-1}-13t^{-2}+3t^{-3}$
Conway polynomial	$3z^{6}+5z^{4}+2z^{2}+1$
Determinant	119
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+z^{6}a^{6}+3z^{4}a^{6}+4z^{2}a^{6}+2a^{6}+z^{6}a^{4}+z^{4}a^{4}-2z^{2}a^{4}-2a^{4}+z^{6}a^{2}+3z^{4}a^{2}+4z^{2}a^{2}+2a^{2}-z^{4}-2z^{2}$
Kauffman polynomial	$z^{7}a^{11}-4z^{5}a^{11}+4z^{3}a^{11}-za^{11}+3z^{8}a^{10}-12z^{6}a^{10}+13z^{4}a^{10}-4z^{2}a^{10}+4z^{9}a^{9}-14z^{7}a^{9}+12z^{5}a^{9}-3z^{3}a^{9}+za^{9}+3z^{10}a^{8}-7z^{8}a^{8}+2z^{4}a^{8}+2z^{2}a^{8}-a^{8}+z^{11}a^{7}+4z^{9}a^{7}-22z^{7}a^{7}+30z^{5}a^{7}-20z^{3}a^{7}+5za^{7}+6z^{10}a^{6}-20z^{8}a^{6}+31z^{6}a^{6}-28z^{4}a^{6}+11z^{2}a^{6}-2a^{6}+z^{11}a^{5}+4z^{9}a^{5}-18z^{7}a^{5}+31z^{5}a^{5}-23z^{3}a^{5}+5za^{5}+3z^{10}a^{4}-6z^{8}a^{4}+12z^{6}a^{4}-13z^{4}a^{4}+8z^{2}a^{4}-2a^{4}+4z^{9}a^{3}-7z^{7}a^{3}+9z^{5}a^{3}-5z^{3}a^{3}+2za^{3}+4z^{8}a^{2}-4z^{6}a^{2}-3z^{4}a^{2}+7z^{2}a^{2}-2a^{2}+4z^{7}a-7z^{5}a+3z^{3}a+3z^{6}-7z^{4}+4z^{2}+z^{5}a^{-1}-2z^{3}a^{-1}$