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X(3), X(4), X(20)

See Q125 for general explanations where Q131 is Q(X2071).

The radial center is X(3). The tangent at X(3) is the Euler line.

Any line passing through O meets Q131 again at three (real or not, distinct or not) points M1, M2, M3 such that the centroid/isobarycenter of {O, M1, M2, M3} is O. This is obviously true with the Euler line.