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

X(3), X(4), X(39), X(550) points at infinity of the McCay cubic K003 points of pK(X6, X550) on the circumcircle X5OAP points, see Table 53 

K665 is a stelloid with radial center X(549), the midpoint of OG. Its asymptotes are parallel to those of the McCay cubic K003. K665 is spK(X3, X548) as in CL055. See also Table 54. It is the isogonal transform of K664. We meet this cubic in the paper "Another kind of Lemoine cubics". 
