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X(98), X(297), X(523), X(648), X(1113), X(1114), X(2592), X(2593)

U, V, W on the trilinear polar of X(458)

infinite points of the Steiner ellipse

trilinear poles of the directrices of the Artzt parabolas, see X(9742) in ETC and also K675

We meet this cubic in the paper McCay Stelloids.