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X(13), X(14), X(216), X(1989), X(3163)

midpoints of ABC

six equilateral anticevian points. see table 14

feet of the trilinear polar of X(265)

E = [(b^2-c^2)^2+a^2(b^2+c^2-2a^2)]^2 : : , on the inscribed Steiner ellipse and on the Fermat axis.

Q040 is an example of quartic passing through the six equilateral anticevian points. See table 14.

The tangents at A, B, C are the altitudes.