K13a2670

Dowker-Thistlethwaite code

4 14 10 24 26 20 2 22 8 6 12 16 18

Jones polynomial	Data:K13a2670/Jones Polynomial
Alexander polynomial	$t^{5}-6t^{4}+20t^{3}-44t^{2}+69t-79+69t^{-1}-44t^{-2}+20t^{-3}-6t^{-4}+t^{-5}$
Conway polynomial	Data:K13a2670/Conway Polynomial
Determinant	359
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+7a^{2}z^{8}-2z^{8}-5a^{4}z^{6}+20a^{2}z^{6}+z^{6}a^{-2}-9z^{6}-9a^{4}z^{4}+26a^{2}z^{4}+2z^{4}a^{-2}-13z^{4}-6a^{4}z^{2}+13a^{2}z^{2}-5z^{2}-a^{4}+a^{2}-a^{-2}+2$
Kauffman polynomial	$4a^{2}z^{12}+4z^{12}+14a^{3}z^{11}+26az^{11}+12z^{11}a^{-1}+21a^{4}z^{10}+33a^{2}z^{10}+13z^{10}a^{-2}+25z^{10}+20a^{5}z^{9}-9a^{3}z^{9}-59az^{9}-24z^{9}a^{-1}+6z^{9}a^{-3}+15a^{6}z^{8}-40a^{4}z^{8}-134a^{2}z^{8}-43z^{8}a^{-2}+z^{8}a^{-4}-123z^{8}+9a^{7}z^{7}-33a^{5}z^{7}-45a^{3}z^{7}-4az^{7}-19z^{7}a^{-1}-18z^{7}a^{-3}+4a^{8}z^{6}-20a^{6}z^{6}+30a^{4}z^{6}+159a^{2}z^{6}+41z^{6}a^{-2}-2z^{6}a^{-4}+148z^{6}+a^{9}z^{5}-10a^{7}z^{5}+21a^{5}z^{5}+62a^{3}z^{5}+64az^{5}+49z^{5}a^{-1}+15z^{5}a^{-3}-4a^{8}z^{4}+11a^{6}z^{4}-17a^{4}z^{4}-87a^{2}z^{4}-11z^{4}a^{-2}+z^{4}a^{-4}-67z^{4}-a^{9}z^{3}+5a^{7}z^{3}-4a^{5}z^{3}-28a^{3}z^{3}-34az^{3}-18z^{3}a^{-1}-2z^{3}a^{-3}+a^{8}z^{2}-a^{6}z^{2}+8a^{4}z^{2}+21a^{2}z^{2}-z^{2}a^{-2}+10z^{2}-a^{7}z+3a^{3}z+3az-za^{-3}-a^{4}-a^{2}+a^{-2}+2$