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

X(3), X(32), X(98), X(132), X(511) midpoints of ABC 

K570 is a circular psK cubic with pseudopivot G. See PseudoPivotal Cubics and Poristic Triangles. Its focus is F, the midpoint of X(3)X(98) and its real asymptote is the Simson line of X(99). 
