K13a3135

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3135/Jones Polynomial
Alexander polynomial	$3t^{4}-9t^{3}+16t^{2}-21t+23-21t^{-1}+16t^{-2}-9t^{-3}+3t^{-4}$
Conway polynomial	Data:K13a3135/Conway Polynomial
Determinant	121
Signature	8
HOMFLY-PT polynomial	$z^{8}a^{-8}+z^{8}a^{-10}+z^{8}a^{-12}+7z^{6}a^{-8}+4z^{6}a^{-10}+5z^{6}a^{-12}-z^{6}a^{-14}+17z^{4}a^{-8}+z^{4}a^{-10}+8z^{4}a^{-12}-4z^{4}a^{-14}+17z^{2}a^{-8}-9z^{2}a^{-10}+6z^{2}a^{-12}-4z^{2}a^{-14}+6a^{-8}-7a^{-10}+3a^{-12}-a^{-14}$
Kauffman polynomial	$z^{12}a^{-12}+z^{12}a^{-14}+z^{11}a^{-11}+4z^{11}a^{-13}+3z^{11}a^{-15}+z^{10}a^{-10}-5z^{10}a^{-12}-z^{10}a^{-14}+5z^{10}a^{-16}+z^{9}a^{-9}-3z^{9}a^{-11}-21z^{9}a^{-13}-11z^{9}a^{-15}+6z^{9}a^{-17}+z^{8}a^{-8}-2z^{8}a^{-10}+16z^{8}a^{-12}-5z^{8}a^{-14}-18z^{8}a^{-16}+6z^{8}a^{-18}-4z^{7}a^{-9}+4z^{7}a^{-11}+50z^{7}a^{-13}+19z^{7}a^{-15}-18z^{7}a^{-17}+5z^{7}a^{-19}-7z^{6}a^{-8}-8z^{6}a^{-10}-32z^{6}a^{-12}+16z^{6}a^{-14}+29z^{6}a^{-16}-15z^{6}a^{-18}+3z^{6}a^{-20}+z^{5}a^{-9}-14z^{5}a^{-11}-61z^{5}a^{-13}-11z^{5}a^{-15}+23z^{5}a^{-17}-11z^{5}a^{-19}+z^{5}a^{-21}+17z^{4}a^{-8}+23z^{4}a^{-10}+25z^{4}a^{-12}-15z^{4}a^{-14}-14z^{4}a^{-16}+14z^{4}a^{-18}-6z^{4}a^{-20}+9z^{3}a^{-9}+21z^{3}a^{-11}+28z^{3}a^{-13}+z^{3}a^{-15}-7z^{3}a^{-17}+6z^{3}a^{-19}-2z^{3}a^{-21}-17z^{2}a^{-8}-20z^{2}a^{-10}-9z^{2}a^{-12}+2z^{2}a^{-16}-3z^{2}a^{-18}+z^{2}a^{-20}-7za^{-9}-9za^{-11}-4za^{-13}+za^{-17}-za^{-19}+6a^{-8}+7a^{-10}+3a^{-12}+a^{-14}$