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X(2), X(4), X(5) points at infinity of the Thomson cubic vertices of the pedal triangle of X(5) Ixanticevian points : see table 23 

This cubic belongs to the pencil of cubics containing the Napoleon cubic, the Kn cubic. See "Two Remarkable Pencils..." in the Downloads page. Its asymptotes are parallel to those of the Thomson cubic. K124 also belongs to the pencil generated by the Thomson cubic and the Lucas cubic. 
