K13a3966

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a3966

Polynomial invariants

Jones polynomial	Data:K13a3966/Jones Polynomial
Alexander polynomial	$-6t^{3}+35t^{2}-80t+103-80t^{-1}+35t^{-2}-6t^{-3}$
Conway polynomial	Data:K13a3966/Conway Polynomial
Determinant	345
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-4}-3z^{6}a^{-6}-2z^{6}a^{-8}+z^{4}a^{-2}+z^{4}a^{-4}-4z^{4}a^{-6}-2z^{4}a^{-8}+3z^{4}a^{-10}+z^{2}a^{-2}+3z^{2}a^{-4}+z^{2}a^{-6}-2z^{2}a^{-8}+4z^{2}a^{-10}-z^{2}a^{-12}+a^{-4}+2a^{-6}-3a^{-8}+2a^{-10}-a^{-12}$
Kauffman polynomial	$3z^{12}a^{-8}+3z^{12}a^{-10}+10z^{11}a^{-7}+19z^{11}a^{-9}+9z^{11}a^{-11}+15z^{10}a^{-6}+23z^{10}a^{-8}+20z^{10}a^{-10}+12z^{10}a^{-12}+14z^{9}a^{-5}-3z^{9}a^{-7}-34z^{9}a^{-9}-8z^{9}a^{-11}+9z^{9}a^{-13}+9z^{8}a^{-4}-25z^{8}a^{-6}-70z^{8}a^{-8}-71z^{8}a^{-10}-31z^{8}a^{-12}+4z^{8}a^{-14}+4z^{7}a^{-3}-26z^{7}a^{-5}-21z^{7}a^{-7}+12z^{7}a^{-9}-24z^{7}a^{-11}-26z^{7}a^{-13}+z^{7}a^{-15}+z^{6}a^{-2}-16z^{6}a^{-4}+18z^{6}a^{-6}+80z^{6}a^{-8}+85z^{6}a^{-10}+29z^{6}a^{-12}-11z^{6}a^{-14}-7z^{5}a^{-3}+21z^{5}a^{-5}+25z^{5}a^{-7}+9z^{5}a^{-9}+42z^{5}a^{-11}+27z^{5}a^{-13}-3z^{5}a^{-15}-2z^{4}a^{-2}+11z^{4}a^{-4}-7z^{4}a^{-6}-47z^{4}a^{-8}-51z^{4}a^{-10}-16z^{4}a^{-12}+8z^{4}a^{-14}+3z^{3}a^{-3}-8z^{3}a^{-5}-10z^{3}a^{-7}-6z^{3}a^{-9}-25z^{3}a^{-11}-16z^{3}a^{-13}+2z^{3}a^{-15}+z^{2}a^{-2}-5z^{2}a^{-4}+2z^{2}a^{-6}+16z^{2}a^{-8}+15z^{2}a^{-10}+5z^{2}a^{-12}-2z^{2}a^{-14}+2za^{-7}+2za^{-9}+4za^{-11}+4za^{-13}+a^{-4}-2a^{-6}-3a^{-8}-2a^{-10}-a^{-12}$

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