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

X(1), X(3), X(56), X(224)

infinite points of the Orthocubic K006

vertices of the cevian triangle of X(7) and circumcevian triangle of X(1)

K561 is an interesting example of psK cubic with flex at X(1).

See Pseudo-Pivotal Cubics and Poristic Triangles.