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X(2), X(4), X(92), X(253), X(264), X(273), X(318), X(342), X(2052)
When P lies on the Lucas cubic K007, the point H÷cP lies on K647. See details at the page K645.
K647 is the isogonal transform of K576 and the isotomic transform of K099.
K647 meets the Steiner ellipse at the same points as pK(X2, X317).