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too complicated to be written here. Click on the link to download a text file. 

X(3), X(5), X(24), X(54), X(60), X(61), X(62), X(1166) traces of P = X(14587) = X(54) x X(249) 

K590 is the isogonal transform of K589. K590 is a psK nodal cubic with node X(54), the isogonal conjugate of the nine point center. 
