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X(1), X(2), X(9), X(86), X(238), X(239), X(292), X(673), X(893), X(1447), X(1929), X(1966), X(2238)

midpoints of ABC

a(a^2-bc)(b^3+c^3-a^3-abc) : :

1/(b^3+c^3-a^3-abc) : :

K251 is the isogonal transform of K135 = pK(X1911, X291).

It meets the line at infinity at the same points as pK(X2, X4645) and the Steiner ellipse at the same points as pK(X2, X238).