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X(2), X(3), X(6), X(64), X(235), X(393), X(800), X(2883), X(6509), X(6523), X(13567), X(14091), X(14092)

midpoints of ABC

other points below

Geometric properties :

K924 is the complement of K235.

K924 meets :

• the line at infinity at the same points as pK(X2, X800) and pK(X6, X394),

• the circumcircle at the same points as pK(X6, X13567),

• the Steiner ellipse at the same points as pK(X2, X800).

Since the pole X(800) of K924 is always interior to ABC, the cubic also contains the four real square roots of X(800) with tangents passing through X(2). These points lie on the polar conic of X(2), a diagonal conic.