K12n10

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+3q^{3}-4q^{2}+6q-6+6q^{-1}-6q^{-2}+4q^{-3}-2q^{-4}+q^{-5}$
Alexander polynomial	$t^{3}-5t^{2}+9t-9+9t^{-1}-5t^{-2}+t^{-3}$
Conway polynomial	$z^{6}+z^{4}-2z^{2}+1$
Determinant	39
Signature	-2
HOMFLY-PT polynomial	$z^{6}-2a^{2}z^{4}-z^{4}a^{-2}+4z^{4}+a^{4}z^{2}-6a^{2}z^{2}-2z^{2}a^{-2}+5z^{2}+2a^{4}-4a^{2}+3$
Kauffman polynomial	$a^{2}z^{10}+z^{10}+2a^{3}z^{9}+5az^{9}+3z^{9}a^{-1}+a^{4}z^{8}-a^{2}z^{8}+3z^{8}a^{-2}+z^{8}-11a^{3}z^{7}-25az^{7}-13z^{7}a^{-1}+z^{7}a^{-3}-6a^{4}z^{6}-15a^{2}z^{6}-14z^{6}a^{-2}-23z^{6}+19a^{3}z^{5}+36az^{5}+13z^{5}a^{-1}-4z^{5}a^{-3}+12a^{4}z^{4}+34a^{2}z^{4}+17z^{4}a^{-2}+39z^{4}-13a^{3}z^{3}-21az^{3}-5z^{3}a^{-1}+3z^{3}a^{-3}-9a^{4}z^{2}-23a^{2}z^{2}-7z^{2}a^{-2}-21z^{2}+4a^{3}z+6az+2za^{-1}+2a^{4}+4a^{2}+3$