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

X(2), X(4), X(30), X(67), X(98), X(316), X(1352), X(4846), X(7737) X(4846) = X(378)* isogonal conjugate of X(378) P1 see below 

The locus of the foci of all the focal cubics K(Q) of the class CL051 is K477, a focal circumcubic with focus X(67). It is a cubic of the same type namely K(P1) where P1 = X(7737) The figure below shows the locus (blue curve) of Q such that K(Q) is a focal cubic with focus F on K477. The points Q, F, P1 are collinear. 
