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X(2), X(40), X(77), X(189), X(280), X(309), X(318), X(329), X(347), X(962) vertices of the antimedial triangle 

See Clark Kimberling, Cubics Associated with Triangles of Equal Areas, Forum Geometricorum, vol.1, pp.161171, 2000. K133 is the isogonal transform of K180 = pK(X32, X84). It is the locus of point M whose cevian triangle is orthologic to the pedal triangle of X(84) which is also the cevian triangle of X(189). See a generalization at Table 7. 
