K12a1219

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{4}+3q^{3}-6q^{2}+10q-14+18q^{-1}-18q^{-2}+18q^{-3}-15q^{-4}+10q^{-5}-6q^{-6}+3q^{-7}-q^{-8}$
Alexander polynomial	$t^{5}-4t^{4}+9t^{3}-15t^{2}+21t-23+21t^{-1}-15t^{-2}+9t^{-3}-4t^{-4}+t^{-5}$
Conway polynomial	$z^{10}+6z^{8}+12z^{6}+9z^{4}+3z^{2}+1$
Determinant	123
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+8a^{2}z^{8}-z^{8}-6a^{4}z^{6}+24a^{2}z^{6}-6z^{6}-12a^{4}z^{4}+33a^{2}z^{4}-12z^{4}-9a^{4}z^{2}+21a^{2}z^{2}-9z^{2}-3a^{4}+6a^{2}-2$
Kauffman polynomial	$2a^{3}z^{11}+2az^{11}+5a^{4}z^{10}+9a^{2}z^{10}+4z^{10}+6a^{5}z^{9}-a^{3}z^{9}-3az^{9}+4z^{9}a^{-1}+6a^{6}z^{8}-17a^{4}z^{8}-41a^{2}z^{8}+3z^{8}a^{-2}-15z^{8}+5a^{7}z^{7}-16a^{5}z^{7}-12a^{3}z^{7}-6az^{7}-14z^{7}a^{-1}+z^{7}a^{-3}+3a^{8}z^{6}-14a^{6}z^{6}+30a^{4}z^{6}+81a^{2}z^{6}-12z^{6}a^{-2}+22z^{6}+a^{9}z^{5}-11a^{7}z^{5}+17a^{5}z^{5}+30a^{3}z^{5}+16az^{5}+11z^{5}a^{-1}-4z^{5}a^{-3}-6a^{8}z^{4}+12a^{6}z^{4}-24a^{4}z^{4}-78a^{2}z^{4}+12z^{4}a^{-2}-24z^{4}-2a^{9}z^{3}+7a^{7}z^{3}-a^{5}z^{3}-22a^{3}z^{3}-17az^{3}-z^{3}a^{-1}+4z^{3}a^{-3}+a^{8}z^{2}-2a^{6}z^{2}+13a^{4}z^{2}+31a^{2}z^{2}-2z^{2}a^{-2}+13z^{2}-2a^{7}z+5a^{3}z+4az-za^{-3}-3a^{4}-6a^{2}-2$