X(4), X(32), X(194)
vertices of the cevian triangle of K
infinite points of pK(X6, X76)
points on the circumcircle and K410
vertices of the third Brocard triangle
K512 is the isogonal transform of K444.
K444 is also psK(X32, X6, X4) in Pseudo-Pivotal Cubics and Poristic Triangles.