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

X(3), X(4), X(5) A', B', C' vertices of the cevian triangle of X(264) reflections of A, B, C in X(5) i.e. centers of the Johnson circles reflections of A', B', C' about X(5) 

K562 is a central psK with center the nine point center X(5). 
